text stringlengths 270 8.19k | meta dict |
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Suppose -87 = 10*g + 19*g. Calculate x(g).
-4
Let q(u) be the first derivative of u**3/3 - 5*u**2/2 - 8*u + 70. Suppose -m + 4 = 3*m. Let t be m/((-1)/3) - -10. Calculate q(t).
6
Suppose 13*m - 8 = 9*m. Let t(s) be the third derivative of -1/6*s**4 - 2*s**2 + 0 - 1/6*s**3 + 0*s + 1/60*s**5. Determine t(m).
-5
Suppose 0 = 2*f - 4*v + 18, -8*v + 3*v + 20 = 0. Let k(h) = -h**3 + 9*h**2 - 9*h + 1. Let n(b) = b**2 - b - 1. Let g(t) = f*k(t) + 3*n(t). Calculate g(5).
1
Let i(m) = -17*m + 22*m - 15*m + 8*m**2 - 6 - 3*m**2 - 7*m**2. Give i(-5).
-6
Let u(y) = 9*y**3 + 15*y**2 - 17*y + 17. Let n(w) = -4*w**3 - 7*w**2 + 8*w - 8. Let v(d) = -7*n(d) - 3*u(d). Give v(-5).
5
Let r(a) = a - 3. Let v(c) = -c. Let l(n) = -6. Let j(g) = -l(g) + 3*v(g). Let i(q) = 5*j(q) + 9*r(q). Calculate i(2).
-9
Suppose 56 = -4*c - 5*n + 42, 3*n = 6. Let h(m) = m**3 + 4*m**2 - 11*m + 13. Calculate h(c).
7
Let r be 36/16 - (-3)/(-12). Let d(b) be the second derivative of -b**4/3 + 4*b**2 + 10*b. Let l(q) be the first derivative of d(q). What is l(r)?
-16
Let n(m) = 7*m - 9*m - m**2 - m - m. Calculate n(-6).
-12
Let k(x) = 15*x**2 - 3*x + 2. Let n(i) = 7*i + 148. Let t be n(-21). What is k(t)?
14
Suppose 3*d = -3*z - 9, -4*d + 2*d - z - 1 = 0. Let b(g) = 6*g**2 - 9 + 9*g**d + 8*g**2 - 22*g**2 - 6*g. Determine b(7).
-2
Suppose 0*t - 2*t - 4*h = -2, t + h = -2. Let a(v) = 2*v**3 + 7*v**2 + 17*v + 7. Let i(s) = s**3 + 4*s**2 + 8*s + 3. Let z(j) = 2*a(j) - 5*i(j). What is z(t)?
4
Let p(u) = 27*u**3 - 8 + 7*u**2 - 17*u**3 - 11*u**3 + 10*u. Give p(8).
8
Let f(g) = -7*g + 3. Let t(s) = 4*s - 1. Let m(j) = -3*f(j) - 5*t(j). Calculate m(9).
5
Let s(r) = 12 - 6*r**3 + 12*r**2 - 12*r - 6*r**3 - 2 + 11*r**3. Give s(11).
-1
Let j(f) = 54*f**3 - 8*f + 49*f**3 + 56*f**3 - 2 + 58*f**3 - 216*f**3 + 7*f**2. What is j(-8)?
-2
Let j(m) = 630 + m**2 - 1265 - 2*m - m**3 + 636. What is j(1)?
-1
Let q(h) be the third derivative of -h**6/120 + 7*h**5/30 - 11*h**4/24 - 16*h**3/3 - 7*h**2 + 2*h. Determine q(13).
-6
Let c(d) = 5*d**2 + d - 1. Let r be c(4). Let v(n) = 0 - 3 - r*n + 95*n + n**2. Determine v(-12).
-3
Let v = 798 + -805. Let s(x) = x**3 + 5*x**2 - 13*x + 4. Calculate s(v).
-3
Let w = 0 - -2. Let n(y) = 2*y + w - 4*y + 3*y. Suppose h = -3*g - 11, 2*g + 11 = -4*h + g. Give n(h).
0
Let n = -496 - -495. Let m(a) = -6 + 5 - 12*a - 9*a. Let i(t) = -t. Let g(f) = 5*i(f) - m(f). What is g(n)?
-15
Let y = 95 - 80. Let g(x) = x**3 - 17*x**2 + 29*x + 13. Let b be g(y). Let t(f) = f**3 - 4*f - 1 + 2 + 3*f + 0*f**3. Give t(b).
-5
Let f(r) = 2*r - 7. Let d(o) be the third derivative of -o**4/4 - 2*o**3/3 + 3*o**2. Let a be d(-4). Let w be (-12)/(-8)*a/6. What is f(w)?
3
Let m(d) = -2 + 3*d - 1 - 34*d + 53*d. Calculate m(-1).
-25
Let j(z) = -14*z**2 - 67*z + 9. Let a(s) = -5*s**2 - 23*s + 3. Let g(x) = 17*a(x) - 6*j(x). Determine g(6).
27
Let j(x) be the second derivative of -x**5/20 - x**4/12 - x**3/6 + x**2/2 + 2*x. Suppose 0*g = -4*g. Suppose g = 19*k - 14*k. Give j(k).
1
Let f(t) = 17*t + 11. Let x(v) = 8*v + 5. Let r(o) = -3*f(o) + 7*x(o). Let n(w) = -7*w + 5. Let k = -41 + 42. Let j be n(k). Calculate r(j).
-8
Suppose 18 = -2*s - n + 52, -5*n - 6 = -s. Let u(y) = -y**2 + 16*y + 4. Give u(s).
4
Suppose -21*c + 10 = -23*c. Let k(n) = 3*n + 14. Let x be k(c). Let s(f) be the second derivative of f**5/4 - f**4/12 + f**3/6 + f**2/2 - 4*f. Calculate s(x).
-6
Let c(j) = -j + 1. Let u(s) = -2*s - 16. Let a(x) = 3*c(x) - u(x). Let t(n) = -2*n + 37. Let r(k) = 11*a(k) - 6*t(k). Give r(9).
-4
Let h(l) = -l**3 + 2*l**2 + l. Let c = -37 + 39. Let v be (-1)/(-1) + c/2. What is h(v)?
2
Let b(o) be the third derivative of o**5/60 - o**4/3 - 2*o**3 - 55*o**2. What is b(11)?
21
Let h = -755 + 750. Let m(n) = n + 4. Determine m(h).
-1
Let b(h) = -3*h - 21. Let v be b(-8). Suppose v*k - 48 = -5*k. Let c(w) = -w**3 + 7*w**2 - 5*w - 5. Give c(k).
1
Suppose 0 = 2*u - 5*u - 4*b - 10, -3*u + 2*b = -14. Suppose 0 = 3*n + 15, 4*l - 2*n - 11 = 3. Let r(g) = -l - 3*g + 2 - 1. What is r(u)?
-6
Let p(u) = -8*u - 20. Let z(a) = -10*a - 21. Let o(c) = 4*p(c) - 3*z(c). Determine o(-8).
-1
Let f(g) be the first derivative of -g**4/2 - g**3/3 - g**2 - g - 82. Calculate f(-1).
2
Let w(m) = -4*m - 1. Let z(l) = 6*l - 4. Let c(t) = -2*w(t) - z(t). What is c(-4)?
-2
Let a be 112/(-18) + (-1 - 55/(-45)). Let m be (-2)/1 + (4 - 0). Let r(v) = 0*v + 2*v**m - v**2 + 5*v - 8. Give r(a).
-2
Let x(f) = f - 4. Let n be (-5)/(-15)*(3 + (-18 - -3)). Calculate x(n).
-8
Let v(g) = -2*g + 6. Let u be v(-5). Suppose 3*m + 1 = u. Suppose -2*o - 2*y = 2*y - 6, -4*y - 9 = m*o. Let w(j) = j + 1. Calculate w(o).
-4
Let w(n) = 8*n + 1. Suppose -4*r + 5*x - 12 = x, -x + 4 = 0. Give w(r).
9
Let b(y) = -4 + 6*y**2 - y - 2*y + 0*y - y**3 + 0*y**3. Let a = 4 - 42. Let i = -33 - a. Calculate b(i).
6
Let h = 30 - 34. Let j(p) = -p**3 - 3*p**2 + 3*p + 2. Let o be j(h). Let u(d) = d**2 - 9*d + 9. Calculate u(o).
-9
Let l be 13 + 1 + 1 + -2. Suppose 5 - l = 4*d. Let m(f) = f + 3. What is m(d)?
1
Let x(c) be the first derivative of -c**5/60 + c**4/6 + c**3/6 + 3*c**2/2 + 29. Let a(s) be the second derivative of x(s). Determine a(3).
4
Let r(o) = 2*o**2 - 9*o - 2. Let i be -14*(-5)/(-4)*62/(-155). Calculate r(i).
33
Let m(n) = 3*n**2 + 20*n - 3. Suppose 932*r - 168 = 960*r. Give m(r).
-15
Let v(w) = 3*w**2 + 8*w + 4. Let s(a) = -2*a**2 - 5*a - 3. Let u(x) = 7*s(x) + 5*v(x). Let j = -1 + 2. Suppose 3*o + 10 - j = 0, -q - o = 9. What is u(q)?
5
Suppose -j + n + 12 = -n, -3*j = -2*n - 24. Let b(i) be the second derivative of -i**3/6 + 4*i**2 + 2*i - 21. Determine b(j).
2
Let u(x) = -x**2 - 45*x + 1070. Let m be u(17). Let f(b) = b**3 - 16*b**2 + b - 21. Determine f(m).
-5
Let z be 39/36 + 1*(3 - 4). Let v(r) be the second derivative of 3/2*r**2 + z*r**4 + 0 + 4*r + 0*r**3. Calculate v(0).
3
Let i(h) = h + 15. Let w(q) = q + 2. Let y(j) = i(j) - 5*w(j). Calculate y(5).
-15
Let m(l) = 5*l**2. Let f = -76 - -75. Determine m(f).
5
Let k = 5 + -3. Let c(i) = -i**3 + i. Let r = 39 + -42. Let w(o) = 5*o**3 - 2*o**2 - 3*o + 1. Let t(h) = r*c(h) - w(h). Calculate t(k).
-9
Suppose -4*l + 26 = 6. Suppose -9*n = -4*n + r + 1, 0 = -l*n + 5*r - 25. Let k(i) = i**3 + 2*i**2 + 2*i + 1. Determine k(n).
0
Let r(f) = -f**3 + 10*f**2 - 11*f + 8. Let m be (-265)/(-159) - (-22)/12*4. Give r(m).
-10
Let w(p) = p**2 - 16 - 59 + 73 - 3*p. Suppose -4*v + 20 = -0*v + 3*j, -2*j - 25 = -5*v. What is w(v)?
8
Let g be 35/(-4 - 1) - -3. Let h(q) = 4*q**3 - 5*q - 6. Let b(f) = -5*f**3 + f**2 + 5*f + 6. Let m(x) = g*h(x) - 3*b(x). What is m(-4)?
2
Let t(w) = -11*w + 47. Let g be t(4). Let x(d) = d**2 - d - 2. Determine x(g).
4
Let s(m) = -5*m**3 + 2*m**3 + 1 + 3*m**2 - 3*m**3 - 3*m + 7*m**3 - 5*m**2. What is s(3)?
1
Let j(g) = g**3 + 8*g**2 + 8*g - 1. Let r be (-12)/30*(1 + -6) + 3. Let k(p) = -p**2 + 4*p - 2. Let x be k(r). What is j(x)?
-8
Let w(x) = x**3 - 2*x**2 + 4*x - 2. Let h be w(2). Let g(c) = 3 - 4428*c**3 + 4427*c**3 + 8*c - c + 5*c**2. What is g(h)?
9
Let k(g) = -g + 1. Let d(f) = -3*f + 3. Let m be d(-3). Suppose r = 4*q - 4, -4*q - 3*r + 0*r - m = 0. What is k(q)?
1
Suppose -2*y - 5*a + 1 = 0, 7*y - 2*a = 2*y + 17. Let k(x) = -x**3 + 3*x**2 + 3*x - 2. Give k(y).
7
Let n(j) = -j. Let h(v) = 7*v + 8. Let q(m) = -h(m) - 6*n(m). Let f be q(-2). Let t(x) be the first derivative of -x**2/2 - 11*x + 1. Calculate t(f).
-5
Let i(q) = 3*q**2 - 2. Let o(b) = -7*b**2 - b + 4. Let d(z) = 9*i(z) + 4*o(z). Let u be d(-2). Let v(a) = -2*a**3 - 2*a + 3. Give v(u).
-17
Let u(b) = -b**2 + 9*b - 9. Let q(o) = o - 1. Let p(s) = -2*q(s) - u(s). Give p(9).
-7
Let p(t) = -t - 7. Let g(w) = w. Let v(l) = -2*g(l) + p(l). Determine v(6).
-25
Let t(r) = -2*r - 2. Let f be 112/19 - 12/(-114). Let c(i) = 2*i + 3. Let h(b) = f*t(b) + 5*c(b). Let u(g) = -g**3 + 5*g**2 + 2*g - 7. Let x be u(5). Give h(x).
-3
Let t(b) = -5*b + 2*b**2 - 2547 + 1277 + 1273. Let h = 4 - 1. Let d be t(h). Let s(o) = -o. What is s(d)?
-6
Let f(o) = -16 + 42 - 4 - o. What is f(11)?
11
Let r(i) = -i**3 + 8*i**2 - 11*i + 10. Let q(u) = -1. Let n(h) = h + 10. Let l(j) = n(j) + 3*q(j). Let y be l(0). Give r(y).
-18
Let o(z) = -z**2 - 8*z - 5. Let v be (1 + -1)*5/15. Let j be (v - (-2)/(-4))/((-22)/(-352)). Give o(j).
-5
Let b = -16 - -18. Let h(z) | {
"pile_set_name": "DM Mathematics"
} |
(-2*r**2 - 2*r + 2*r)*(2*r + 0*r - 4*r) + 3 - 3 + 4*r**3 + (r**3 + 5*r**3 - 4*r**3)*(1 + 2 - 4).
4*r**3
Expand (-12 + 12 - 29*z + 25*z + 88*z)*(-3*z + 2*z - 3*z).
-336*z**2
Expand ((-3 + 2 + 0)*(0*k - 3*k + 5*k) + k + 0 + 0 + 0*k + 2*k + 3*k)*(-3*k - 3*k - 3*k).
-36*k**2
Expand (-4*d + 6*d - 5*d + 1)*(3*d**4 + 9*d**3 - 9*d**3).
-9*d**5 + 3*d**4
Expand -11*b**2 - 6*b + 6*b + (0 + 2*b + 0)*(0 + 0 + 2*b) + 4*b**2 - 4*b**2 - b**2.
-8*b**2
Expand -4*u**4 + 0*u**4 + 3*u**4 + (1 - 1 + u)*(17383 + 196*u**3 - 17383).
195*u**4
Expand (0*l + 0*l + 3*l)*(-2*l + 0*l + 0*l + l + 2*l - l + 4 - 4 - l + (-2 + 3 + 0)*(0*l - 2*l + 4*l) - 1 - 2 + 1 - 51*l).
-150*l**2 - 6*l
Expand (2*j - j + 0*j)*(3 - 3 - 2*j**2)*(1302 - 1302 + 259*j).
-518*j**4
Expand (-2*o**2 + 0 + 0)*(0*o + 0*o + 2*o) - o**3 - o**3 + o**3 + 28372*o**2 + 411*o**3 - 28372*o**2.
406*o**3
Expand (0 - 3 + 1)*(q + 0*q - 2*q)*(5 + 11 + 2)*(-6 - 1 + 0)*(-3 + 1 - 1)*(1 + 1 + 0).
1512*q
Expand (3*u - 3*u + 2*u**3)*(-2 + 1 - 1)*(363 - 209 + 207)*(3*u + u - u).
-4332*u**4
Expand (5*x + 0*x - 4*x)*(-x - 4*x + 4*x) - 16*x + 36*x - 5*x + 1515*x**2 - 15*x.
1514*x**2
Expand (-3*z + 3*z + z)*(-5 - 3 + 7 + (0 - 1 + 0)*(3 - 4 + 5)).
-5*z
Expand (-1 + 5 + 0)*(-c**2 - c**2 + 10*c**2) - c**2 + 0*c**2 + 11*c - 10*c.
31*c**2 + c
Expand (-8*l - 2*l - l)*(-9 + 5 + 17)*(2 - 1 - 2)*(-2 + 2 - l**2).
-143*l**3
Expand f + 70*f - 2*f + (3 - 4 - 1)*(5*f - 3*f - 3*f).
71*f
Expand -15*v + 6*v + 13*v + (1 + 6 - 4)*(1 - 1 - 2*v) + 0*v - v + 0*v + (4 + 0 - 3)*(v + v - 4*v).
-5*v
Expand (b**2 - 2 + 2 + (8*b + 2*b - 3*b)*(4*b - 2*b - 4*b))*(0 + 2 + 0).
-26*b**2
Expand (-1 - 2 + 2 - 2*q)*(17*q - 3*q + 17*q).
-62*q**2 - 31*q
Expand i**4 + i**4 + 0*i**4 + 2*i**4 + 5*i**4 - i**4 + (-2 - i**2 + 2)*(0*i**2 + i**2 + 0*i**2) - 14*i**4 + 3*i**4 + 18*i**4.
14*i**4
Expand -6*s**3 - 5*s**3 + 2*s**3 - 2*s + 2*s**3 + 2*s + (-2*s + 2*s + 2*s**3)*(-1 - 1 + 0) + (-2*s + 0 + 0)*(-3 - 4 + 0)*(2 - 2 + 2*s)*(4*s + 0*s - 2*s).
45*s**3
Expand (a + 3*a**4 - a)*((3*a + a - 6*a)*(-3 + 0 - 5) + 3*a + 3*a - 2*a - 13 + 13 + a + 0*a - a + 0*a).
60*a**5
Expand 2*w**4 + 3*w**4 + 5*w**4 + 6*w**4 - 4*w**4 + w**4 + (2 + 0 - 1)*(-2*w**4 + 5*w**4 - 5*w**4).
11*w**4
Expand (-73*z + 14 - 14 + (z + 0*z + 0*z)*(-5 + 3 + 1))*(4 + 0 - 2).
-148*z
Expand 15*g**3 - 5*g**3 + g - g + 107*g**2 - g**3 + 0*g**3 + 0*g**3 + (3 - 3 + 2*g**2)*(0*g + g - 2*g) - 3*g**3 - 4*g**3 + 5*g**3.
5*g**3 + 107*g**2
Expand 2*s**3 + 3*s**3 - 3*s**3 - 2*s**3 + 3*s**3 - 5*s**3 + (-3*s**3 + 2*s**3 + 2*s**3)*(-1 - 2 + 1) + 192*s + 198*s - 380*s + 2*s**3 + 1.
-2*s**3 + 10*s + 1
Expand (1 + 3*j - 1)*(-375*j - 30*j + 108*j).
-891*j**2
Expand 114*r**3 - 226*r + 226*r + (-2*r - 2*r + 5*r)*(0*r**2 + 0*r**2 - 2*r**2).
112*r**3
Expand (-4*g**3 + 4*g**3 + 2*g**3)*(g - 3 + 3)*(2 - 2 + 2*g).
4*g**5
Expand (3*l**2 - l**2 + 2*l**2)*(4 + 6 - 5)*(3*l**2 - 2*l**2 + l**2)*(-2*l + 12*l - 3*l).
280*l**5
Expand (2*p**3 - 3*p**3 + 0*p**3)*(0 - p + 0) + 18*p**4 + 33*p**4 - 18*p**4 - 2.
34*p**4 - 2
Expand (2 - 4 + 3 + 1 - 5 + 3 + (3 - 2 + 0)*(2 - 1 - 2))*(-17*g**2 + 7499*g - 30*g**2 - 7492*g).
47*g**2 - 7*g
Expand (0 + 3 + 3)*(-27*z + 0*z**2 - z**2 + 26*z)*((2*z + 0 + 0)*(-3*z**2 + 5*z**2 - z**2) + 0*z**3 + 0*z**3 + z**3).
-18*z**5 - 18*z**4
Expand (-4 + 1 + 4)*(-13*i**4 + 18*i - 28 + 34 - 12*i).
-13*i**4 + 6*i + 6
Expand (-56 + 56 + 3*q)*(q**3 + 3*q**3 + 0*q**3) + 8*q**2 + 3*q**4 - 8*q**2.
15*q**4
Expand (-39 - 11*a + 39)*(a + 2*a - 4*a)*(4 + 1 - 3).
22*a**2
Expand (-9 - 9*y + 9)*(2 + 11 - 2 + (-2 - 4 + 4)*(-1 + 0 + 0))*(-1 + 4 - 1).
-234*y
Expand (-2*f - 3*f + f)*((4 + 0 - 2)*(3*f + 2*f - 4*f) + 0*f + 0*f - f - 87 + 87 + 106*f).
-428*f**2
Expand (-5*q**2 + 4*q**2 - q**2)*(0 + 1 + 4 + (-252 + 88 + 99)*(2 - 3 + 2))*(-2 - 4*q + 2).
-480*q**3
Expand (-1 + 4 - 1)*(0 - 2*f + 0) + f - 2*f + 0*f - 1 + f + 1 - 4*f + 3*f + 0*f + (1 - 5 + 2)*(2 + f - 2) - 2*f - f + 2*f.
-8*f
Expand (-3*a**2 - a**2 + 3*a**2)*(0*a - 5*a + 4*a) + (-295 - 7*a**2 - a + 296 - 2*a**2)*(0 + 0 - 7*a).
64*a**3 + 7*a**2 - 7*a
Expand (2*b - b + 2*b)*(-3 + 2 + 2)*(-1 + 1 + 2).
6*b
Expand (-6 - 11 - 2)*(-2*g - g + 0*g) + (g + 4 - 4)*(1 + 0 - 3).
55*g
Expand (0 - 2*k + 0)*(-6037 - 8*k**2 + 6037 + (0 + 0 + 2*k)*(4*k - k - 2*k) - k**2 + k**2 - k**2 - 1 + 1 - 2*k**2).
18*k**3
Expand (15 + 125*j - 15)*((-4*j + 3*j + 2*j)*(-2*j + 6*j - 3*j) - 4*j**2 - j**2 + 3*j**2) + (0*j**2 - j**2 + 2*j**2)*(-3*j - j + 2*j).
-127*j**3
Expand (-16 - 29 + 16)*(-31*j**2 + 2*j**3 + 5*j**4 + 31*j**2).
-145*j**4 - 58*j**3
Expand (-33*z + 19*z + 19*z)*(-5 + 2 + 15)*(-2*z + 4*z - z)*(0*z + 0*z + 2*z).
120*z**3
Expand (-436 - 836 + 68 - 44)*(z + 5*z - 4*z).
-2496*z
Expand ((-t**2 - 3*t**2 + 3*t**2)*(-3*t + 2*t + 2*t) - 1 + 1 + 2*t**3 + (-1 + 2*t**3 + 1)*(-5 + 0 + 3) + 16 + 19 - 34 + 14*t**3)*(1 - 5*t - 1).
-55*t**4 - 5*t
Expand (-4 + 3 + 0)*(0 - 11 + 2)*(6*h**3 + h**3 + 8*h**3).
135*h**3
Expand (2 - 2 + 1)*(n - 1 + 1)*(88 - 25 + 61).
124*n
Expand (-44*y + 40*y - 34*y)*(-56 + 56 - 2*y + y**2).
-38*y**3 + 76*y**2
Expand (1 - 3 + 3)*(26*b**2 - 9 + 27*b**2 - 52*b**2).
b**2 - 9
Expand (1541*x**2 + 1 - 1540*x**2 + 0 + 3*x)*(-x**2 + 3*x**2 - 5*x**2).
-3*x**4 - 9*x**3 - 3*x**2
Expand (3*m - m - 3*m)*(-210 + 90 - 214 + 16).
318*m
Expand 3 - 3 + t**2 + (4*t - 4*t + 4*t)*(0*t + 7*t - 4*t).
13*t**2
Expand (-2*n + 2*n - n)*(2*n - 1 + 1)*(-2 - 1 + 6)*(3*n**2 - 12*n**2 + 7*n**2).
12*n**4
Expand (0 + 13 - 1)*(2*k - k - 3*k) + 1 - 2*k - 1 - k - k + 4*k + 7*k - 2*k - 3*k.
-22*k
Expand (1 + 2*j - 1)*(2936*j - 39 - 5883*j + 2940*j).
-14*j**2 - 78*j
Expand 14*i - 56*i**2 - 14*i + (2*i**2 + 2*i**2 - i**2)*(3 + 0 - 1) + (0 + 0 + 2*i)*(2*i + i - 5*i) - i**2 + 4*i**2 - 4*i**2.
-55*i**2
Expand c**4 + 5 + c**4 + 4 + (-4*c + 2*c + 6*c)*(1 - 5*c**3 - 1).
-18*c**4 + 9
Expand (-2*a + 2*a + a**2)*(3*a**2 - 3*a**2 + a**2)*(-9*a + 17*a - 7*a + 19).
a**5 + 19*a**4
Expand (-3 + 4 + 1)*(2*l - 5 + 5) + 1 + l - 1 + (l + 17 - 18 - 2*l)*(1 + 2 - 4).
6*l + 1
Expand (-4*p + 5 - 5)*(-46*p**2 + 14*p**2 - 30*p**2).
248*p**3
Expand (-65936 + 148*p + 65936)*(-2*p - p + 2*p).
-148*p**2
Expand (-4*x**3 + 4*x**3 - 2*x**4 + (4*x**3 - 2*x**3 - x**3)*(-3*x - 3*x + 5*x))*(3 + 3 - 3)*(-1 - 1 + 4).
-18*x**4
Expand (0*z**2 - 2*z**2 + 5*z**2)*(53*z**2 + 24*z**3 - 53*z**2) + (4*z - 3*z - 2*z)*(0*z**4 + 3*z**4 - 2*z**4).
71*z**5
Expand -403*i - 377*i + 861*i - 2*i + 5*i - 4*i + (2 - 5 + 1)*(-2 + i + 2) + 0*i - 6*i + 4*i.
76*i
Expand 147*z - 4168 + 4168 - 2*z + z + 2*z + 3*z + z - 5*z + (-2 - 2 + 5)*(-3*z - 3*z + 5*z).
146*z
Expand 2*q**3 - 2*q**3 - q**3 + (10*q**2 + 9*q**2 + 9*q**2)*(2*q + 14*q + 0*q).
447*q**3
Expand (1 + 0 + 3)*(4 - 4 - 1)*(10338 + 297*z**4 - 10338).
-1188*z**4
Expand (2 + 1 - 1 + (4 - 5 + 3)*(-1 + 6 + 8))*(30 - 30 + 8*k).
224*k
Expand (-2*g + 3*g + 3*g)*(5*g + 6*g - 5*g) + (4*g + 2*g - 4*g + (1 + 3 - 2)*(2*g - 2*g + g) + 4 + 2*g - 4 - 4*g - 2*g + 4*g)*(1 - 2*g - 1).
16*g**2
Expand (1 + k**2 - 1)*(114*k**2 - 280*k + 280*k) - k**4 + 2*k**4 - 3*k**4.
112*k**4
Expand -2*w**2 - 76 + 0*w**2 + 72 + (3 - 1 - 1)*(w**2 + 4*w**2 - 4*w**2).
-w**2 - 4
Expand ((0 + 0 - y)*(-1 - 1 + 0) - 2 + 3*y + 2 + 5*y - y - y + 3*y - 5*y + y)*(0 + 2 - 4).
-14*y
Expand (0*w**4 - w**4 - 4*w**4)*(-4 + 5 + 1) + 2*w**3 - w**4 - 2*w**3 - 4*w**4 - 5*w**3 + 5*w**3 + 3*w**4 - 3*w**4 + w**4.
-14*w**4
Expand (8*m**2 - 2*m**2 - 2*m**2)*(4 + 5 - 6)*(m**3 + 6*m**3 - 9*m + 12*m).
84*m**5 + 36*m**3
Expand -3*k**2 - 5 + 5*k**2 + 4 - 2*k**2 - 4*k**2 + 2*k**2 + (3*k + 3*k - 3*k)*(-2*k + 13*k + 19*k).
88*k**2 - 1
Expand (7 - 6*s - 7)*(-s**4 + s - s + (-2*s + 3*s + s)*(2*s**3 + 2*s**3 - 6*s**3) + (-4*s**2 + 5*s**2 + 3*s**2)*(2*s + 2*s**2 - 2*s)).
-18*s**5
Expand (-s + 5*s - 6*s)*(-5*s**2 + 4*s**2 + 3*s**2).
-4*s**3
Expand (3*z**2 + 2*z**2 - 2*z**2)*(-5*z**3 + 3*z**3 - z**3) + 4*z**4 - 4*z**4 + z**5 + (0*z**4 + 6*z**4 - 4*z**4)*(2*z - z + z).
-4*z**5
Expand (2*n + 6*n - n)*(-2*n - 4*n + 7*n).
7*n**2
Expand (-d + 3 - 3 + (-2*d - 1 + 1)*(-2 + 0 + 3) + 0*d + 3*d - d)*(3*d**2 + d - d + (-29*d - 4*d - 37*d)*(0*d + 0*d + d)).
67*d**3
Expand 3*x - 2*x**2 - 3*x + 2*x - 2*x**2 - 2*x + 2*x - 2*x**2 - 2*x + (-2 + 4 - 1)*(x**2 + 4 - 4) - 1 + 1 - 2*x**2 + (-2*x**2 + 2*x**2 - 2*x**2)*(-21 - 47 + 0).
129*x**2
Expand (2 + 2 + 4)*(-28*n - 20*n - 9*n).
-456*n
Expand -19*a**3 + 16*a**3 - 31*a**3 + (2 | {
"pile_set_name": "DM Mathematics"
} |
range (4 - 2*d - 4)*(2 - 3 + 0)*(4 - 3 + 5) to o*d + m and give o.
12
Rearrange -15185*q**2 + 1 - 8*q + 2*q + 15184*q**2 to the form r*q**2 + v*q + d and give v.
-6
Rearrange -60*w**2 + 40*w**2 - 61*w**2 + (-2 - 2*w + 2)*(w + w - 5*w) to the form z*w + v + l*w**2 and give l.
-75
Express -124 - 91*b - 83*b + 173*b in the form i + f*b and give i.
-124
Rearrange 0 - 5*u**2 - 51*u**4 - 3 + 86*u**4 - 66*u**4 + 2*u**3 to the form z*u**2 + o + w*u**4 + t*u**3 + p*u and give o.
-3
Rearrange (-3 + 4 - 3)*(-1 + 0 + 0)*(2*j + 3*j - 6*j) + (1 + 5 - 5)*(-2*j + 3*j + 0*j) + j - 3*j + 4*j - 38*j + 4*j - 8*j to the form w*j + o and give w.
-41
Express 49 - g + 0*g + 0*g - 97 + 30*g**3 + 54 in the form w*g**2 + p + k*g**3 + y*g and give y.
-1
Express -31*z**3 - 6*z**4 + 49*z**3 - 1 - 3*z**4 + 7*z**4 - 2*z**2 as s*z**3 + x*z**4 + v*z**2 + d + l*z and give v.
-2
Rearrange -58*s**2 + 2*s**3 + 0*s**3 + s + 26*s**2 + 28*s**2 to the form k*s**3 + p + m*s**2 + c*s and give c.
1
Express -178*s**4 - 2*s**3 - 2*s**3 + 179*s**4 + s**2 - 2*s as v*s**2 + a*s + f + k*s**3 + r*s**4 and give r.
1
Rearrange -476*m**2 - 446*m**2 - 124*m**2 + 280*m**2 to y + x*m + t*m**2 and give t.
-766
Express -107*h + h**2 + 86*h - 3 + 5*h**2 in the form c + x*h + z*h**2 and give x.
-21
Rearrange (1 - 2*v - 1)*(-4 + 2 + 0)*(-4 + 4 + v) - 53 - 23*v**2 + 53 + (3 - 2 + 7)*(2 + v**2 - 2) to w + k*v**2 + b*v and give k.
-11
Rearrange -5*d**3 + 26*d - d - 26*d + d + 33*d**2 to k + z*d**2 + s*d + c*d**3 and give c.
-5
Express (r**4 + 1 - 1)*(0 - 463 + 78) as u*r + f*r**4 + m*r**2 + l + n*r**3 and give f.
-385
Express 284 - 508 + 0*n + n - 2*n as j + p*n and give p.
-1
Express (j**2 + 2*j - 2*j)*((0 + 1 - 2)*(3*j + 0*j - 9*j) + 0*j + j + j) in the form x + z*j**3 + i*j**2 + b*j and give z.
8
Express (b**3 - 5*b**3 - 6*b**3)*(-2*b - 2*b - 130 + 132) in the form k*b**3 + r*b**4 + f*b + h + o*b**2 and give r.
40
Express 111*c + 5*c + 42*c + 17*c in the form b + l*c and give l.
175
Express (3*v + 7*v - v)*(-22 + 21 - 53)*(3*v**2 - v**2 - 4*v**2 + (v**2 - 2*v + 2*v)*(-5 + 4 + 2)) in the form j*v**3 + f*v + h*v**2 + m and give j.
486
Express 51*j**3 + 51*j + 52*j - 150*j + 48*j in the form z + m*j**2 + f*j + p*j**3 and give p.
51
Express 556*f**3 + 2*f - 267*f**3 - 261*f**3 + 2 - f**2 as b*f**2 + q*f**3 + a*f + o and give q.
28
Rearrange 571*d + 29*d + 333*d + 132*d to the form x + w*d and give x.
0
Rearrange -84*x**3 + 2*x**2 - 43*x**3 + 71*x**3 to the form u + o*x**3 + f*x**2 + q*x and give o.
-56
Express -4486*s**3 + 8*s**2 - s**4 + 4486*s**3 + 1 + 2*s as p*s**2 + d + y*s**4 + r*s**3 + q*s and give q.
2
Express 62*v + 250*v + 542*v - 8*v in the form n*v + j and give n.
846
Express 4*v + v - 6*v - 46 + 0*v - 2*v**2 in the form n + l*v**2 + f*v and give l.
-2
Rearrange 7*y**2 + 4 - 9*y**2 - 71*y**3 + 87*y**3 to k*y**2 + s*y + v + n*y**3 and give k.
-2
Rearrange 379 - 242 - 8*w + 69 - 914 + (3 + 2 - 3)*(-w + 2 - 2) to o*w + u and give o.
-10
Express -39*j + 4 - 2 + 22*j + 5*j**2 - 9*j as a + o*j**2 + p*j and give a.
2
Rearrange (2 - 2 + 1)*(-330*g**3 - 314*g**3 + 2 - 7*g**2 - 2*g + 643*g**3) to the form s*g**3 + t*g**2 + f*g + z and give f.
-2
Express (-1 - 5 + 3)*(-6*c - 6*c - 4*c)*(1 - 2 + 5)*(-3 - 2 + 6) as p + g*c and give g.
192
Rearrange (50*k + 9 - k**2 - 10 + 0)*(1 - 2 + 4) to v*k**2 + y + w*k and give y.
-3
Rearrange -2273*y**3 + 0*y**2 + 2267*y**3 + 34*y**2 to r*y**3 + p + s*y**2 + u*y and give s.
34
Rearrange -17 - 4 - 191*b**2 + 93*b**2 + 101*b**2 to m*b + t*b**2 + o and give t.
3
Express 694*k**2 - 332*k**2 - 293*k**2 as h*k + s*k**2 + f and give s.
69
Express -m**2 - 52 - 1924*m + 1924*m - 160 as d*m + o*m**2 + b and give o.
-1
Express w**3 - 5*w**3 + 69 - 70 - 10*w**2 - 26*w - w**3 + 12*w**2 - 2*w**4 in the form p*w**3 + n*w**2 + m*w + q*w**4 + a and give n.
2
Express (-2*i**2 - 3*i - i - 2*i)*(-41*i + 21*i + 19*i + 22*i) in the form w*i**3 + d*i + m + s*i**2 and give s.
-126
Express (74*n + 57*n + 63*n)*(8 - 9 - 6) in the form f + b*n and give b.
-1358
Rearrange (4*u - 6*u + 0*u)*(22 + 15 + 14) to the form s + i*u and give i.
-102
Express 17 + 65*w - 2*w**2 - 179*w + 115*w in the form q*w**2 + p*w + h and give q.
-2
Rearrange -1 - 2*p + 1 + (-p + 0*p + 3*p)*(2 - 4 + 0) + 1 + p - 1 + (1 + 0 + 1)*(4 - 6 + 3)*(134*p - 57*p - 69*p) to the form z*p + b and give z.
11
Rearrange 67*m**2 - 41*m**2 - 45*m**2 to l*m + p*m**2 + d and give p.
-19
Express (-31 - 5*a + 20 + 37)*(a**2 - 2*a**2 + 3*a**2) as c*a + m*a**3 + k*a**2 + u and give k.
52
Rearrange w + 5143 - 2*w - 5216 to the form b + q*w and give q.
-1
Rearrange (11*q + 175*q + 184*q)*(-3*q**2 + 0*q**2 + 4*q**2) + q**3 - 3*q**3 + q**3 to f*q + v*q**3 + x + i*q**2 and give v.
369
Express 16*i + 15*i + 5*i + 0*i + 3*i as c*i + k and give c.
39
Rearrange (36*j + 16*j + 1 + 27*j)*((-j + 2*j + j)*(-3*j**2 - j + j) + j**3 + 3*j**3 - 6*j**3) to h*j**3 + x*j**2 + v + c*j**4 + d*j and give c.
-632
Rearrange -45*u**2 + 56*u + 97*u**2 - 51*u to n*u + r*u**2 + i and give r.
52
Rearrange 42*m**3 - 4 + 2*m**3 + 0 + 6 + 2*m**4 to o*m**3 + c*m**4 + t + d*m**2 + w*m and give d.
0
Express -2*j**2 + 3167*j**4 + 2*j**3 + j - 3166*j**4 + j**2 + 2 in the form t + i*j**2 + w*j**3 + l*j**4 + p*j and give i.
-1
Rearrange 41 + 628*s**2 + 621*s**2 - 1251*s**2 + s**3 - 3*s to f*s**2 + u + w*s + v*s**3 and give v.
1
Rearrange -7*r - r - 2*r + 22*r**2 + 3*r - 15*r**2 to the form m*r + v*r**2 + w and give m.
-7
Express -30*j**2 - 45*j**2 - 138 + 140 as c + l*j + y*j**2 and give c.
2
Express -996*s + 312 - 313 - s**2 + 1020*s - 6*s**3 as y + z*s**3 + n*s**2 + o*s and give n.
-1
Rearrange -2*d + 3 - 2 + 0 - 2 + 11*d**3 + 4*d**4 - 9*d**3 - 10*d**2 to q*d**3 + a*d**4 + b + m*d**2 + l*d and give a.
4
Rearrange (-2 - 2*g + 2)*(1 + 28 - 4) + 0*g - 3*g + g to m*g + r and give m.
-52
Express (-2188*p**3 + 1026*p**3 + 1032*p**3)*(-3 + 6 - 2) + (3 - 2 - 3)*(-p**2 - 2*p**3 + p**2) in the form i*p**2 + m*p**3 + c + h*p and give m.
-126
Express -3*o + 0*o + 5*o + (-192 + 1396 + 490 + 8)*(-3*o + 0*o + 0*o) in the form y + u*o and give y.
0
Express (122*z - 14289 + 560*z + 14289)*(-4*z + 10 - 10) as p*z + q*z**2 + u and give q.
-2728
Express -8 + 8 - 29*c - 6*c as g*c + k and give g.
-35
Express 3 + 3 - 5*c + 4*c + (-814 + 814 - 64*c)*(0 + 2 + 0) as d + i*c and give d.
6
Rearrange (0*r - 3*r + 0*r)*(-r + 170 + 4*r - 116) to the form w*r + o + x*r**2 and give x.
-9
Rearrange (1 + 2*w + 2 - 4*w)*((-5 + 5 + 1)*(0*w**2 + 2*w**2 - 4*w**2) + (-3*w + w + 0*w)*(12 - 16*w - 12)) to the form t + j*w**2 + o*w**3 + b*w and give o.
-60
Express -18 + 15 + 3 + 107*a + 7 as o*a + f and give f.
7
Express (120 - 76*w - 120)*(-w**2 - w**2 - 16*w - 16*w) in the form d*w**2 + f + b*w + z*w**3 and give z.
152
Rearrange (-o + 4 - 4)*(o**2 - 3*o**2 + 3*o**2) + 88*o**3 + 48*o**3 - 46*o**3 to f + k*o**3 + h*o**2 + j*o and give k.
89
Rearrange 2883*m + 3298*m - 5436*m to v + s*m and give s.
745
Express -3989*l + 1854*l + 1585*l as s + q*l and give s.
0
Rearrange 28*h**2 - 89*h**2 + 902*h + 776*h + 59*h**2 to the form t*h**2 + w*h + d and give w.
1678
Express 32*g**2 - g**3 - 2*g**4 - 107 + 96 - 33*g**2 as j + o*g**3 + y*g**4 + h*g**2 + b*g and give j.
-11
Rearrange 7*v**3 + 2 + 5*v**4 - 6*v**4 + 18*v**3 to the form z*v + l*v**4 + b*v**2 + j*v**3 + n and give l.
-1
Express 232 - 108 - 1488*b - 124 in the form t + g*b and give t.
0
Rearrange 2*t**2 + 51 + 155*t**3 - 158*t**3 - 3*t**2 to the form x*t**2 + b + r*t**3 + q*t and give x.
-1
Rearrange (-2*n + 0 + 0 + 0*n + 4*n - 5*n + (2 - 2 - 2*n)*(-2 + 3 + 0) - 2694 - 179*n + 2694)*(-4 + 2 + 0) to l + i*n and give l.
0
Express -380 + 187 + 193 + o + 331*o**2 in the form g + j*o**2 + v*o and give v.
1
Rearrange -8*t**2 + 1077 + 26*t**2 - 1074 + t to u*t + g + l*t**2 and give l.
18
Rearrange -107*h - 77*h + 18*h - 189*h to n + q*h and give q.
-355
Express 33*z - 72*z + 2*z**2 + 18*z**2 + 39*z in the form g*z**2 + o + y*z and give g.
20
Rearrange t - 257 + 245 - 5*t to the form b + g*t and give b.
-12
Rearrange (-5*w**2 + 2*w**2 + 2*w**2)*(10*w + 10 - 10)*(-19 - 6 + 56) to the form c*w**2 + r + g*w + n*w**3 and give n.
-310
Rearrange -406*a + 12*a - 47*a - 74*a - 381*a + 2 to the form l*a + u and give u.
2
Rearrange (0*u + u**3 + 0*u - u**2)*(110*u - 1607 + 1607) to the f | {
"pile_set_name": "DM Mathematics"
} |
-33
100 (base 5) to base 8
31
Convert 1 (base 9) to base 4.
1
Convert 425 (base 6) to base 5.
1121
b (base 16) to base 6
15
-1 (base 15) to base 11
-1
Convert d (base 15) to base 11.
12
-51 (base 9) to base 4
-232
Convert 1010 (base 3) to base 6.
50
What is 2 (base 11) in base 2?
10
-3 (base 5) to base 8
-3
-5 (base 8) to base 16
-5
-20 (base 5) to base 16
-a
What is -254 (base 6) in base 5?
-411
What is -100 (base 2) in base 12?
-4
Convert 36 (base 11) to base 13.
30
-31 (base 7) to base 12
-1a
What is -1110 (base 5) in base 13?
-bc
2f (base 16) to base 9
52
Convert -288 (base 9) to base 13.
-158
Convert 0 (base 12) to base 13.
0
What is -4 (base 9) in base 4?
-10
-13 (base 4) to base 9
-7
Convert -3 (base 11) to base 16.
-3
What is -1111 (base 2) in base 15?
-10
Convert -16 (base 13) to base 14.
-15
Convert 4 (base 11) to base 15.
4
422 (base 7) to base 10
212
-27 (base 10) to base 9
-30
What is 1 (base 3) in base 13?
1
What is -27 (base 10) in base 13?
-21
What is -3 (base 5) in base 3?
-10
-1 (base 16) to base 6
-1
Convert -21 (base 3) to base 4.
-13
Convert -22 (base 7) to base 5.
-31
What is 11 (base 2) in base 3?
10
Convert -3 (base 16) to base 13.
-3
4 (base 5) to base 7
4
What is -1 (base 12) in base 3?
-1
11 (base 11) to base 4
30
What is 43 (base 13) in base 15?
3a
Convert 4 (base 11) to base 15.
4
Convert 71 (base 11) to base 12.
66
What is -b9 (base 14) in base 16?
-a3
What is 303 (base 5) in base 13?
60
Convert 2 (base 5) to base 7.
2
What is -7 (base 9) in base 16?
-7
-111 (base 2) to base 3
-21
What is -102 (base 3) in base 2?
-1011
Convert -84 (base 11) to base 10.
-92
Convert -2 (base 7) to base 11.
-2
What is -131 (base 4) in base 14?
-21
What is -1 (base 4) in base 5?
-1
Convert -3 (base 5) to base 8.
-3
What is 10110101 (base 2) in base 8?
265
Convert -21 (base 11) to base 4.
-113
10 (base 8) to base 9
8
What is -101 (base 2) in base 13?
-5
Convert -311 (base 4) to base 14.
-3b
76 (base 11) to base 2
1010011
-8 (base 15) to base 14
-8
Convert 53 (base 15) to base 7.
141
What is 0 (base 6) in base 12?
0
Convert -3 (base 10) to base 11.
-3
What is 26 (base 16) in base 6?
102
What is 8 (base 10) in base 15?
8
6 (base 8) to base 11
6
What is -1100 (base 2) in base 13?
-c
2 (base 5) to base 10
2
Convert -320 (base 11) to base 9.
-467
-3 (base 5) to base 3
-10
18b (base 14) to base 5
2234
Convert d (base 14) to base 11.
12
Convert 1 (base 15) to base 14.
1
Convert 114 (base 6) to base 8.
56
Convert 3 (base 5) to base 6.
3
Convert 30 (base 5) to base 3.
120
6 (base 13) to base 7
6
What is 70 (base 11) in base 13?
5c
Convert -2323 (base 4) to base 7.
-355
Convert 2e (base 15) to base 2.
101100
7 (base 14) to base 16
7
Convert -7 (base 16) to base 15.
-7
What is -6 (base 10) in base 16?
-6
-1c (base 15) to base 10
-27
What is 1 (base 14) in base 4?
1
52 (base 6) to base 16
20
What is -94 (base 16) in base 11?
-125
Convert -13 (base 16) to base 11.
-18
What is 1aa (base 15) in base 5?
3020
What is 26 (base 10) in base 11?
24
What is 49 (base 11) in base 10?
53
Convert 1 (base 9) to base 2.
1
0 (base 6) to base 4
0
What is 18 (base 10) in base 13?
15
Convert -9 (base 10) to base 12.
-9
What is -1220 (base 6) in base 9?
-363
-1 (base 13) to base 4
-1
What is 101 (base 3) in base 15?
a
-17 (base 14) to base 4
-111
-4 (base 14) to base 15
-4
0 (base 16) to base 11
0
-b (base 14) to base 12
-b
Convert -1011 (base 3) to base 2.
-11111
Convert 0 (base 11) to base 5.
0
Convert 25 (base 11) to base 3.
1000
What is 0 (base 2) in base 6?
0
-5 (base 7) to base 11
-5
-2c (base 14) to base 3
-1111
What is 21 (base 5) in base 12?
b
21 (base 4) to base 3
100
What is -5 (base 7) in base 5?
-10
Convert 2 (base 11) to base 14.
2
What is -456 (base 8) in base 3?
-102012
Convert -47 (base 12) to base 14.
-3d
What is -22 (base 4) in base 14?
-a
Convert -155 (base 7) to base 3.
-10022
-11001 (base 2) to base 9
-27
-73 (base 11) to base 6
-212
What is 134 (base 8) in base 2?
1011100
Convert 36 (base 7) to base 9.
30
Convert -42 (base 12) to base 4.
-302
Convert 4 (base 5) to base 11.
4
275 (base 9) to base 5
1410
Convert -2 (base 12) to base 8.
-2
Convert 15 (base 11) to base 5.
31
0 (base 15) to base 16
0
What is 3 (base 15) in base 8?
3
-3 (base 12) to base 6
-3
-6 (base 7) to base 4
-12
Convert 3 (base 7) to base 3.
10
What is 3 (base 16) in base 3?
10
-13 (base 14) to base 5
-32
What is 35 (base 8) in base 13?
23
Convert 9 (base 15) to base 13.
9
Convert 256 (base 9) to base 14.
113
-43 (base 6) to base 7
-36
What is -31 (base 11) in base 9?
-37
-40 (base 6) to base 11
-22
a9 (base 13) to base 11
117
-114 (base 6) to base 5
-141
Convert 5 (base 6) to base 2.
101
-4 (base 14) to base 9
-4
0 (base 8) to base 3
0
-28 (base 13) to base 9
-37
41 (base 10) to base 16
29
-24 (base 13) to base 15
-20
Convert -16 (base 8) to base 13.
-11
3 (base 5) to base 13
3
What is 1221 (base 3) in base 5?
202
8 (base 14) to base 16
8
What is 3 (base 12) in base 11?
3
What is 22 (base 5) in base 15?
c
What is 22 (base 14) in base 16?
1e
Convert 11 (base 4) to base 7.
5
Convert -33 (base 4) to base 5.
-30
What is -2 (base 13) in base 4?
-2
-29 (base 10) to base 13
-23
-33 (base 6) to base 10
-21
Convert a (base 16) to base 10.
10
1 (base 3) to base 11
1
Convert 10 (base 3) to base 14.
3
What is 1122 (base 4) in base 2?
1011010
-164 (base 10) to base 4
-2210
What is -44 (base 7) in base 10?
-32
What is 37 (base 15) in base 5?
202
What is 0 (base 3) in base 13?
0
What is -1 (base 9) in base 3?
-1
a3 (base 13) to base 14
97
What is -1 (base 14) in base 6?
-1
Convert 2 (base 14) to base 15.
2
What is 1 (base 7) in base 5?
1
Convert 25 (base 8) to base 3.
210
Convert 0 (base 12) to base 10.
0
What is 5 (base 7) in base 5?
10
What is 6 (base 9) in base 14?
6
Convert 1 (base 7) to base 4.
1
What is 3 (base 10) in base 2?
11
What is -21 (base 3) in base 16?
-7
61 (base 11) to base 8
103
Convert 0 (base 10) to base 4.
0
Convert -263 (base 10) to base 5.
-2023
What is 7 (base 13) in base 2?
111
What is -1 (base 5) in base 8?
-1
a (base 13) to base 7
13
What is -b (base 12) in base 3?
-102
Convert 4 (base 15) to base 2.
100
0 (base 4) to base 8
0
3 (base 7) to base 15
3
2 (base 10) to base 2
10
-55 (base 6) to base 16
-23
What is -16 (base 12) in base 8?
-22
3 (base 7) to base 5
3
-20 (base 10) to base 13
-17
-2 (base 4) to base 2
-10
Convert 1 (base 7) to base 8.
1
-22 (base 8) to base 12
-16
-23 (base 9) to base 12
-19
Convert 1b (base 14) to base 7.
34
1010 (base 3) to base 6
50
What is 3 (base 6) in base 7?
3
0 (base 8) to base 13
0
What is -2 (base 10) in base 7?
-2
What is -73 (base 16) in base 11?
-a5
-73 (base 8) to base 12
-4b
-5 (base 7) to base 14
-5
Convert 43 (base 16) to base 3.
2111
Convert 1a (base 11) to base 5.
41
What is 22 (base 6) in base 10?
14
What is 101 (base 8) in base 15?
45
-1 (base 13) to base 3
-1
Convert -13 (base 6) to base 7.
-12
136 (base 7) to base 6
204
-1 (base 15) to base 4
-1
-9 (base 16) to base 4
-21
-10101 (base 2) to base 6
-33
What is -2 (base 16) in base 15?
-2
What is 77 (base 11) in base 2?
1010100
What is -100 (base 3) in base 13?
-9
Convert -4 (base 7) to base 9.
-4
Convert -2 (base 4) to base 14.
-2
What is -3 (base 11) in base 4?
-3
Convert 10000111 (base 2) to base 3.
12000
Convert -b (base 14) to base 4.
-23
-18 (base 13) to base 9
-23
What is 6 (base 12) in base 11?
6
-20 (base 3) to base 13
-6
Convert 7 (base 14) to base 15.
7
-42 (base 6) to base 4
-122
Convert -100 (base 11) to base 10.
-121
-22 (base 4) to base 2
-1010
Convert 0 (base 15) to base 16.
0
What is -220 (base 4) in base 5?
-130
What is 27 (base 13) in base 2?
100001
-15a (base 14) to base 4
-10110
2142 (base 5) to base 3
102000
-4 (base 14) to base 2
-100
-22 (base 13) to base 15
-1d
-10 (base 14) to base 9
-15
What is 10120 (base 3) in base 7?
165
What is -1433 (base 5) in base 9?
-300
-177 (base 12) to base 2
-11101011
1120 (base 3) to base 4
222
What is 4e (base 16) in base 2?
1001110
Convert -10 (base 11) to base 6.
-15
Convert -18 (base 14) to base 5.
-42
What is -110000 (base 2) in base 5?
-143
Convert -6 (base 12) to base 4.
-12
What is 3b (base 13) in base 11?
46
What is 404 (base 7) in base 13?
125
Convert -d (base 14) to base 3.
-111
What is 0 (base 5) | {
"pile_set_name": "DM Mathematics"
} |
+ 17. Let s = 6 + -6. Sort s, r, d in decreasing order.
r, d, s
Let z = 8 - 6. Let l(t) = -t + 5. Let f be l(5). Let s(j) = j**3 - j**2 - j - 5. Let h be s(f). Sort z, h, -4 in increasing order.
h, -4, z
Let w be (-1)/(-4) + 110/(-48). Let o = w + 13/6. Sort 2/5, 0.3, o in descending order.
2/5, 0.3, o
Let f(o) = -o**2 - 4*o + 4. Let c be f(-4). Suppose -2 = -2*g + 4*g. Put c, -2, g in decreasing order.
c, g, -2
Let k be (-1 + (-3)/(-9))/((-10)/45). Put -3, 2, k in decreasing order.
k, 2, -3
Let s = 116 - 112. Put -1, 5, s in decreasing order.
5, s, -1
Let z(y) = y**3 - 4*y**2 + y - 2. Let k be z(4). Suppose -9 = i + k. Let s = i - -16. Sort 3, -5, s.
-5, 3, s
Let r = -9 - -2. Let m = 6 - 9. Put -4, m, r in descending order.
m, -4, r
Let n be (4/(-28))/((10/(-14))/5). Put n, 0, -4 in descending order.
n, 0, -4
Let c(y) = -y**2 - 4*y - 2. Let o be c(-4). Let d = 1 + o. Suppose b = -8 + 6. Put b, -5, d in decreasing order.
d, b, -5
Let d(r) = r - 1. Let j be d(3). Suppose 2*u - 10 = -5*z + u, -z = -4*u - j. Sort -4, z, -3 in increasing order.
-4, -3, z
Let v = 3 - 2. Let a = -127/888 + 2/111. Sort v, -3, a in increasing order.
-3, a, v
Let t(j) = -j. Suppose -2*g = -5*n - 16, -3*g + 15 + 9 = -5*n. Let w = -10 + g. Let q be t(w). Sort -2, 4, q.
-2, q, 4
Let i be -5 + 3 + 6 + 0. Put -1, 1, i in decreasing order.
i, 1, -1
Suppose 20 = -7*g - 15. Let r(x) = -x**3 + 7*x**2 - 6*x - 1. Let p = 15 + -9. Let i be r(p). Sort i, 1, g.
g, i, 1
Let p = -1.8 - -2. Put p, -4, 4 in decreasing order.
4, p, -4
Suppose 5 + 19 = -8*v. Sort 12, 2, v in descending order.
12, 2, v
Let v(h) = h**3 + 4*h**2 + 3. Let j be v(-4). Let d = 9 + -4. Suppose 2 = 3*c + 2*a, 45 = -3*c + 8*c - d*a. Put c, 1, j in descending order.
c, j, 1
Let w = 19 - 28. Let o = -14 - w. Put -1/3, -2, o in descending order.
-1/3, -2, o
Let v = 5 + -4. Sort v, -1/5, -2.
-2, -1/5, v
Let o(w) = w**2 - 2*w - 1. Let x be o(0). Let v = 3 - 5/3. Sort x, 0.2, v in descending order.
v, 0.2, x
Let i = -13.3 - -13.4. Put i, 1, -0.3, -0.5 in descending order.
1, i, -0.3, -0.5
Let b(t) = -2*t**2 + 2*t + 3. Let g be b(0). Sort g, 0, -5.
-5, 0, g
Let q(u) = u - 2. Let i be q(2). Sort -1, 14, i in increasing order.
-1, i, 14
Let s = 8.3 - 3.3. Sort s, -3, 0.2 in decreasing order.
s, 0.2, -3
Let c = 2 - 1.5. Let b = -1 + c. Sort 0.4, b, -0.1 in increasing order.
b, -0.1, 0.4
Let l(o) = -o - 12. Let w be l(-7). Sort 4, -2/7, -4, w in decreasing order.
4, -2/7, -4, w
Let l = 2.1 - 2. Let a be (1/30)/(2/(-8)). Sort l, -1, a in descending order.
l, a, -1
Let x = 50 - 199/4. Let t = 1/4 + x. Let q(d) = -d**2 - 6*d + 3. Let w be q(-6). Sort 5, w, t.
t, w, 5
Let m(p) = -p - 6. Let z be m(-10). Let h be z + -5 - 22/(-18). Sort h, -5, -0.5.
-5, -0.5, h
Let p be -3 + (2*-1 - -2). Let z = 3 + p. Put 1/3, 0.4, z in increasing order.
z, 1/3, 0.4
Let n be 4678/15 - (-4)/30. Let z = n - 2812/9. Sort -3, -2/3, z.
-3, -2/3, z
Let o(v) = v**2 - 7*v + 11. Let x be o(5). Sort 5, -6, x in descending order.
5, x, -6
Suppose 6 = -l - 4*f + 2, -f = 4*l - 14. Let w be 4/14 - (-18)/(-14). Sort 2, w, l in ascending order.
w, 2, l
Let q = -0.145 - -0.045. Put -1/3, 17, q in descending order.
17, q, -1/3
Let h = -1.5 + 1.2. Let y be ((-8)/10)/(2/(-20)). Let x be (2/y)/(10/(-8)). Sort h, 0, x in decreasing order.
0, x, h
Let f = 0.09 - 0.19. Suppose 0*u = -5*u - 5. Let k be (2 - 0 - 1)*1. Sort u, f, k in ascending order.
u, f, k
Let s(w) = 3*w - 49. Let r be s(17). Sort 1, r, 4, -23 in increasing order.
-23, 1, r, 4
Suppose 2*d - 3*u = 15, 0 = -8*d + 4*d - 5*u - 25. Suppose -3*j + 0*j = d. Let r = j - 1. Sort 2, 4, r.
r, 2, 4
Let p(b) = b**2 - b + 1. Let l be p(2). Let a be (0*1/(-2))/2. Put a, l, -4 in descending order.
l, a, -4
Let y be 1*2*(-5)/20. Let p = -3 - -2.8. Sort -1, y, p in descending order.
p, y, -1
Suppose 2*o - 4*g + 4 = 0, -4*g - 2 + 6 = -3*o. Let r = 298 + -890/3. Put r, -2, o in decreasing order.
r, o, -2
Let k be (2 + -1)/(9 - 16). Let q be 6/8*4*1. Sort 1, k, q in descending order.
q, 1, k
Let c(y) = y**2 + 5*y. Let d be c(-4). Put 3, d, 8 in increasing order.
d, 3, 8
Suppose -4*k = -z - 6, -5*z = -3*k - 20 - 1. Sort -3, 3, z.
-3, 3, z
Let f = 0.3 + -0.4. Let i be 3/(-8) - 3/(-6). Put f, i, 3 in decreasing order.
3, i, f
Let a = -0.15 + 0.05. Sort a, -2, -1.
-2, -1, a
Let n = -29.8 - -34. Let y = 4 - n. Put 1/3, y, -3 in decreasing order.
1/3, y, -3
Let j = -0.5 + 0.51. Sort -3/4, j, 0.2 in ascending order.
-3/4, j, 0.2
Let x = -1280/187 + 74/11. Put 3, -20, x in ascending order.
-20, x, 3
Suppose -4*s + 0*s - 12 = -4*v, -4 = -v. Put s, -0.2, -0.3 in decreasing order.
s, -0.2, -0.3
Let u = 4 - -1. Let i = 1 + -1.2. Let o = i + -0.3. Sort u, 4, o in decreasing order.
u, 4, o
Suppose -2*l + 4*q - 5 = 3, -q = 4*l - 11. Let y be 7/28*(-1 + l). Put y, 0.3, 0.5 in decreasing order.
0.5, 0.3, y
Let a be (-2)/(0 - -4)*-10. Let k = a - -3. Let t = k + -11. Sort 1, 0, t in descending order.
1, 0, t
Suppose -14 - 14 = -7*h. Let v = 8 + -3. Put 1, h, v in increasing order.
1, h, v
Let k = -6.3 - -6. Let a = -0.04 + 0.44. Put k, -1/2, a in descending order.
a, k, -1/2
Let b = 1 + 0. Let g be 0 + b - 0 - -2. Suppose -3*d = 2*d + 20. Sort d, 4, g in ascending order.
d, g, 4
Suppose 0 = -d - d + 5*b, 0 = 5*d - 3*b. Let z = -12 - -10. Sort -1, d, z.
z, -1, d
Let k(f) = f**3 + f**2 - f - 11. Let i be k(0). Let n be 4/3*(-9)/6. Put n, i, 3 in decreasing order.
3, n, i
Let m = -27 - -22. Put 3, m, -9 in decreasing order.
3, m, -9
Let j(l) = l**2 + 4*l + 1. Let u be j(-3). Let p(r) = -r**3 + 5*r**2 - 6*r + 5. Let f be p(4). Sort u, f, 1 in ascending order.
f, u, 1
Let j be (-1)/(-3 + (-8)/(-3)). Let z = 0 + -5. Sort z, j, -2 in ascending order.
z, -2, j
Let o = 14 + -12. Suppose o*r + 6 = -4*r. Let b(j) = j + 2. Let q be b(-5). Sort 3, r, q in descending order.
3, r, q
Let i be (-44)/(-10) + 2/(-5). Suppose 2*r + r = -36. Let m = 15 + r. Sort i, m, -3 in increasing order.
-3, m, i
Let k(m) = m**2 + 8*m + 9. Let g be k(-7). Put 11, g, -4 in decreasing order.
11, g, -4
Suppose 8*j + 36 - 4 = 0. Sort 3, -0.2, j, -5.
-5, j, -0.2, 3
Let v(t) = t**2 - 7*t + 3. Let c be v(5). Sort -0.5, c, 5 in ascending order.
c, -0.5, 5
Suppose -4*x - 11 - 9 = 0. Suppose -2*h = -2*y - 0*h - 2, 0 = 2*y - 5*h - 1. Put 0, x, y in descending order.
0, y, x
Let z = -3 - -3. Let r be z + -2 + 4 + 1. Suppose 0 = -q - 0*q + r. Put -2, 2/7, q in decreasing order.
q, 2/7, -2
Let u = 97 + -98. Let t = -0.2 + 0.5. Put -0.2, t, u in ascending order.
u, -0.2, t
Let r be (6/(-4))/(3/(-4)). Suppose -r*j = 2*j - 16. Put 5, -2, j in descending order.
5, j, -2
Let r(t) = t**2 + 6*t. Let b be r(-6). Sort b, -5, 3 in decreasing order.
3, b, -5
Let i(d) = d**2 - 6*d + 1. Let m be i(5). Let f(c) = 5*c - 1. Let x be f(1). Let l = 8 - 3. Sort m, l, x in decreasing order.
l, x, m
Let q be 1*(-1 - 4/1). Let n be ((-3)/(-3))/(-5) - 8/(-40). Put q, n, 4 in ascending order.
q, n, 4
Let c(y) = -2*y + 35. Let l be c(18). Put l, -3, -5, 4 in descending order.
4, l, -3, -5
Let l(r) = r - 9. Let m be l(9). Suppose -4*y + 0*y + 12 = m. Let x be (-2)/(-7) + (-9)/7. Put -3, y, x in ascending order.
-3, x, y
Let f = 4 + 0. Let j = 2 - f. Let v(l) = 7*l - 44. Let o be v(7). Sort -5, j, o in decreasing order.
o, j, -5
Suppose 3*j - 25 = 2*n, 4*j + 3*n = 3 + 2. Suppose -25 + j = -4*k. Suppose 3*m - 2*a - 3*a = -11, -4*a = -16. Sort k, m, -4 in increasing order.
-4, m, k
Let z be 21/28 + (-82)/88. Put z, -6, -4 in ascending order.
-6, -4, z
Let t = 15.6 - -0.4. Let l = 15.5 - t. Put 0.03, 0.4, l in descending order.
0.4, 0.03, l
Let v = 36.7 + -37. Put 0, -2/7, v in decreasing order.
0, -2/7, v
Suppose -5*p + 50 = -5*m, 11*p + 4*m = 6*p + 5. Suppose 4*q - 55 = -75. Sort q, 3, p in increasing order.
q, 3, p
Let x(p) = -p - 2. Let u be x(0). Suppose 2*w + 8 = -0*w. Let f = 175 - 175. Put f, u, w in descending order.
f, u, w
Suppose 5*s + 78 = -57. Let o = s - -25. Sort o, -3, 3 in increasing order.
-3, o, 3
Suppose -3*y + 8 = y. Sort -2, y, 5.
-2, y, 5
Suppose -2 = -19*r + 17*r. Sort 5, 12, r in increasing order.
r, 5, 12
Suppose 7*o - 22 = 9*o. Put o, -2, -1 in descending order.
-1, -2, o
Let y = 45 + -40. Sort y, -3, -13.
-13, -3, y
Suppose 0*q - q - 5 = 0. Put q, -3, 5 in decreasing order.
5, -3, q
| {
"pile_set_name": "DM Mathematics"
} |
t to 2/17? (a) r (b) 0.04 (c) 0.4
b
Let v be (-10)/(-45)*1/(-2). Let u be 3 + -2 + (-5)/((-200)/(-30)). Which is the nearest to 1? (a) -4 (b) v (c) u
c
Let m be (2 - 4 - -5)*(-45)/(-648). Let z = -121/120 + m. Let q = -6/7 + 44/35. What is the closest to -1 in 2, q, z?
z
Let h = 166 - 166. Which is the nearest to h? (a) -4 (b) 0 (c) 1/11
b
Let m = 59/268 - -2/67. Let c = 51.5 - 51. Let n = -3 - -8. What is the closest to m in 3, n, c?
c
Let o = 730/3 + -246. Which is the closest to 0.1? (a) 4 (b) 3/4 (c) o
b
Let v = 0.223 + 30.777. Which is the nearest to -0.2? (a) v (b) 2 (c) -0.1 (d) 3
c
Let g be (-144)/(-30)*(-3)/((-6)/(-10)). Let r = g + 27. What is the nearest to 9 in r, -2, 0.5?
r
Let t be 3 + (-5)/(10/14). Suppose 3*d = 4*w + 22, -5*d + w = -2*w - 22. Let x = -0.03 - 1.97. What is the closest to d in x, t, 2?
2
Let g be -2*4/(-460)*-5. Let v(q) = q**3 - q**2 - q - 54. Let t be v(0). Let h be -2 - (-4)/t*-24. Which is the nearest to 0.01? (a) -2 (b) g (c) h
b
Let y be 2*-1*3/33. Let q be (-24)/(-5)*105/14*-1. Let i be q/168 - (-4)/(-14). What is the closest to i in y, 3, 1?
y
Let u = 275 - 274. Let w = -12 + 7. Let o = w + 4.7. What is the nearest to u in o, 3/2, 4?
3/2
Let r be (-243)/(-36) + (4 - 11). Which is the closest to -1/4? (a) -1 (b) r (c) 0.2 (d) 9
b
Let h be 1092/195 + -3*2. What is the closest to -1/5 in h, 1/4, 4, 2?
h
Let h = 532.6 + -532.8. Let s be (-2)/6*(-6)/(-7). Let p = -205/9 + 23. Which is the closest to h? (a) p (b) s (c) -0.1
b
Let q be 16/12 + 5/(-15)*3. Which is the nearest to -5? (a) 3 (b) -0.3 (c) 0.4 (d) q
b
Let b = 0.149 + -0.249. What is the nearest to b in -1/3, -3, 5, 0?
0
Let t = -65 - -64. Let o = 21 - 24. What is the nearest to 2 in 0.5, o, t?
0.5
Let d be (-3 - (-162)/6)*2/6. Let j be 2/d - 5/10. Let w = 0.2 - -0.1. Which is the nearest to j? (a) w (b) -1/3 (c) -2
b
Let k = 30.9 - 30.9. Let z = 0.5 - 0.5. Which is the nearest to z? (a) -1 (b) k (c) 0.2
b
Let s = -185.57 + 174.5. Let g = -11 - s. Let i = g + 0.03. What is the closest to i in 2/7, -1/7, 0.2?
0.2
Let g be 1/((-6)/(-14))*4/(-14). What is the nearest to 2 in 2/37, g, -0.1?
2/37
Let u = 3.99 - -5.01. Which is the nearest to 1? (a) u (b) 1/6 (c) 3
b
Suppose 5*d = 10 - 30. Let n = 8.5 - 6.5. Which is the nearest to 2/3? (a) d (b) n (c) 21
b
Let j = -0.0407 + -4.9593. Which is the nearest to 59? (a) -0.5 (b) j (c) 4
c
Let r be 4*(-5)/175 - (-2)/(-7). What is the closest to 2 in r, 2/7, -0.1?
2/7
Let p be (-4)/(-14)*(-784)/(-560). What is the closest to 1 in p, 0.2, -1?
p
Let y = -8.957 - 0.043. Which is the nearest to y? (a) -4 (b) 4 (c) 3/2
a
Let h = 26 + -26. Let i be (1 + h/(-5))/1. What is the nearest to i in -3, 1, -2/19?
1
Let z = -3.2 + -0.8. Let h be (-7*(-21)/(-1029))/1. Let w be (-6)/(-27) + (-16)/(-9). What is the closest to -0.1 in h, w, z?
h
Let n be (2 - 8/3)*1. Let j = 79.922 + 0.078. Let d = 85 - j. Which is the nearest to -0.1? (a) -1/9 (b) d (c) n
a
Let d = 3.0439 + -0.0439. What is the nearest to d in 4, -1, -18, 1?
4
Let l = -7255/21 + 1036/3. Let x = 0.4 - 0.7. Which is the closest to 1/4? (a) l (b) 3 (c) x
a
Let j be 1 + (-50)/16 + 2. Let d = -1 - -5. Let s = -0.7 - -0.8. What is the nearest to 1 in s, j, d?
s
Suppose 0 = 7*i - 40*i - 99. Let w(k) = 5*k**3 - 2*k**2 + 1. Let t be w(1). Which is the closest to 0? (a) i (b) 1 (c) t
b
Let w(m) = 5*m - 24. Let j be w(8). Let k be (-1)/(-10) + j/40. Which is the nearest to k? (a) -0.23 (b) -2 (c) 2
a
Let p be 4/3*8/((-1232)/(-33)). What is the nearest to 2 in 6, p, -1, -4?
p
Let c = -1677 - -1676. Let u = 0 + 2. What is the nearest to -1 in u, 6/11, c?
c
Let g be 4/(-14) + (-95)/(-245). Let q = g - 167/196. Let i = 0 - 0. Which is the nearest to -1? (a) -0.4 (b) i (c) q
c
Let s = 0.071 - -7.129. Let y = 7.6 - s. What is the nearest to 0 in 1/2, 3, y?
y
Let i = 870 - 866. Which is the nearest to 1/6? (a) -4 (b) i (c) -5 (d) 0.2
d
Let u be ((-3)/(-9))/(129/86). Suppose c = -0*c - 3, 2*b - 5*c - 17 = 0. What is the nearest to 2 in 4/5, u, b?
b
Let d = 49 - 27. Let r = 23 - d. What is the closest to 0 in 0.2, 2, r?
0.2
Let p = 195 - 276. Let s = p - -86. What is the closest to 0.2 in s, 0.08, 1/4?
1/4
Let s = -29 - -68. Let q be 6/s + 80/(-182). What is the closest to -1 in 0, 0.1, q?
q
Suppose 0 = 7*s - s + 12. Let l be (-40)/15*(-9)/(-4). Let t be ((-18)/45)/(l/(-10)). Which is the closest to 0? (a) s (b) t (c) 2/7
c
Let x be 2/(-16) - 520/(-2880). What is the closest to 0.1 in 2/5, -1/4, x, 2/7?
x
Let l = 3179/4 + -795. What is the closest to l in -1, 0.3, 1, 5?
0.3
Let t be (9 + 120/(-12))*3. Let h = -0.2 + -0.3. What is the closest to 0.2 in 3, t, h?
h
Let m = 213 + -2767/13. Let p = -2 + 1. Let x be (4 - (-52)/(-12))*-3. What is the closest to 1/2 in p, x, m?
m
Let o be -2 + (-7)/(-3) - (-22)/33. Which is the closest to -80? (a) 2/9 (b) o (c) -1/10
c
Let b = 0.5 - 0.18. Let n = 0.08 + b. Let c = 28 - 24. What is the nearest to c in 4, 0.1, n?
4
Let c = 352 + -354. What is the closest to c in 0.4, 2/7, -5?
2/7
Let k be 5/((-110)/(-4))*(-2)/2. Let i = k + 19/44. Let d(h) = -h**3 + 5*h**2 - 4*h - 1. Let q be d(4). What is the nearest to 1 in 0, i, q?
i
Let s be 156/832*(1 - 13). Which is the nearest to 0? (a) -2/11 (b) s (c) -0.3
a
Let k = 0.06 + 1.94. Let z = 9 + 3. Let x = z + -9. Which is the nearest to x? (a) k (b) 3/5 (c) 1
a
Suppose -2*w + 2*u = 18, 0 = -4*w - 13*u + 8*u. Let f = -1 - 1. Let m be (1 - -2)*(-2)/12. Which is the nearest to -2/7? (a) w (b) m (c) f
b
Let l(u) = u**2 + 5*u - 7. Let v be l(-6). Let y = 20.85 + -21. Let i = -3.15 - y. Which is the nearest to v? (a) -0.1 (b) i (c) -4/5
c
Let p be -1*(1 + -4) - 3. Let w be p/(-1 + -2) + 30. Let s = -28 + w. Which is the nearest to -2/7? (a) s (b) 4 (c) 0.2
c
Let p = 3.7 + -4. Let g = 4.02 - 4.22. What is the closest to 4 in g, -5, p?
g
Let z be -3*1 + (1 - -21). Suppose 3*g = -z - 44. Let m = g + 24. Which is the nearest to -2? (a) 0.3 (b) -5 (c) m
a
Suppose 0*b + 2*b = 4*m - 20, 2*b + 5*m = 16. Let v(f) = 7*f - 226. Let i be v(32). What is the nearest to i in b, -3, 1/3?
b
Let v be 16/132*6/(-4). Let w = -13.226 + 13.426. What is the nearest to 1/4 in w, v, -8?
w
Let h = 0.93 - -0.07. Let r be (1 + -7)/(-66 - -56). What is the closest to h in -1/3, 0.8, r?
0.8
Let q = -94 + 94.3. What is the closest to -1 in q, -74, 0.5?
q
Let r be ((-25)/(-5))/(1/4). Let o = -13 + r. Let j be (2/(-4))/(o/(-7)). Which is the nearest to j? (a) 0.5 (b) -1 (c) -3
a
Let p = -32 - -37. Which is the closest to -1/20? (a) -4 (b) 0 (c) p
b
Suppose -2*k + 102 = -30. Suppose 4*i + k = -2*s, -2*i - 2 = -s - 43. Let m = -112/3 - s. What is the closest to m in -0.2, 3, -0.1?
-0.2
Let x = 0.3 + 0.7. Let z(f) = 11*f - 15. Let w be z(5). Let r be ((-3)/(-4))/(((-675)/w)/(-5)). Which is the nearest to 1? (a) r (b) -1/10 (c) x
c
Let z be (1/5)/(11 + 845/(-75)). Suppose 0 = o - 2*o - 3. Which is the nearest to 2? (a) -2/3 (b) z (c) o
a
Let j = -34 + 36. Suppose j*l - 4*l - 3*y = -3, -2*l + y = -7. Let u = -29 + 35. Which is the nearest to 0.1? (a) u (b) l (c) 0.2
c
Let x be 1 + (-25)/(-10) - 3. Let t = 409.4 - 409. What is the nearest to 1 in x, t, -1?
x
Let f = 0.007 + 0.323. Let k = -0.73 + f. What is the closest to 1 in -4, k, -3?
k
Suppose 3*w + 1 = -2*m, -m = -w + 3*w. Let r = 0.9 - 1.2. Let k = 0.7 - r. Which is the nearest to w? (a) -3 (b) -3/8 (c) k
c
Let g = 13.92 + -14. Let d = g + 0.18. Which is the closest to d? (a) -2/9 (b) -0.5 (c) 1
a
Suppose 3*n + 2 = 2*n, 4*n - 1 = -3*u. Suppose 0 = 5*j - 5*i + 25, -u*j - 4*i + 20 = -0*i. What is the closest to j in -1/5, 0, -1/9?
0
Let z be (2/(-6))/(-5 - 230/(-45)). Let l be (6/66)/(-2 - z). Which is the nearest to l? (a) 0.2 (b) 0.1 (c) 4/3
b
Let l = 48 - 47. Which is the closest to 1? (a) 0.08 (b) -0.2 (c) l
c
Let z = -3.0385 - -0.0385. Which is the nearest to 0.2? (a) -4 (b) z (c) -1 (d) 0.4
d
Let r = 72/7 + -10. Which is the closest to r? (a) -2 (b) 51 (c) 3
a
Let x = -3.1 + -1.9. Let z = 9 + x. Let k = 51 + -257/5. Which is the closest to k? (a) -0.2 (b) 2/7 (c) z
a
Let q = -0.0611 - 2.2389. What is the nearest to q in -0.3, -5, 1?
-0.3
Let v = -66.8 - -65.8. W | {
"pile_set_name": "DM Mathematics"
} |
c.
-5
Let w be 4 - (3 + -3)/(-3). Suppose 0 = -w*x + x. Let u = 2 + x. Solve u*k = 4*k + 6 for k.
-3
Suppose -4*c = 2*t - 5*t + 72, 0 = 5*c - 2*t + 97. Let f = 47 + c. Solve 11 - f = 5*m for m.
-3
Let n(m) = -m**2 + 6*m + 6. Let g be n(7). Let k be (-1 - -2)/(g/(-6)). Let j be (0 - 3)/(k/(-4)). Solve -j*v = 4 - 0 for v.
-2
Let m(h) = h**2 + 7*h - 2. Let b(x) = -2*x**2 - 14*x + 4. Let d(z) = -3*b(z) - 7*m(z). Let o be d(-6). Solve 2*f + 4 = o for f.
2
Suppose 0 = 5*d - 4*z + 6, 10 = 3*z - 2. Suppose 5*t - 10 = 2*r, -5*r + 0*r - 25 = -d*t. Solve t = -4*o - 8 for o.
-2
Let t(m) = m**3 + 9*m**2 + 4*m - 8. Let o(y) = -2*y**3 - 18*y**2 - 7*y + 16. Let f(u) = 3*o(u) + 7*t(u). Let b be f(-8). Solve b = -6*x + x for x.
0
Let j(l) = -l**3 + 6*l**2 - 4*l - 2. Let y(f) = -f**3 + 5*f**2 + 7*f - 1. Let d be y(6). Let k be j(d). Solve -2*q + k = -1 for q.
2
Suppose -225 = -2*x - 7*x. Solve -2*q - 3*q = -x for q.
5
Let n be -2 + (-8)/(-1) - -1. Let p(j) = j - 3. Let h be p(n). Suppose h*y - 6*y = -3*i, i = 0. Solve -2*w + 0*w + 8 = y for w.
4
Suppose -3*c = -2*o - 15, -4*o + 3 = c - 2. Let s = -3 + c. Solve -2 = -s*h + 4*h for h.
-1
Let y(b) = 6*b**3 + b**2 - 2*b + 1. Let n be y(1). Let x = 3 - n. Let r = x + 3. Solve 3*p + r*p = 0 for p.
0
Suppose 4*s - 3*x = 3, 3 = -2*s - 0*s - 3*x. Solve 5*z - 2*z = s for z.
0
Suppose 28*t + 8 = 30*t. Solve -t*x + 1 - 21 = 0 for x.
-5
Let c(o) = 2*o**2 + 2*o + 1. Let r be c(-1). Let b be 6*r + 5/(-5). Suppose -d = 3 - b. Solve 3 = -5*a - d for a.
-1
Let t(v) = -v**2 - 8*v - 11. Let x be t(-5). Solve -x*a + 19 + 1 = 0 for a.
5
Suppose 6*n + 4 = 7*n. Solve 9*y = n*y for y.
0
Suppose -g - 2*g = 0. Suppose -7*x = -8 - 6. Solve g = -u + x*u + 3 for u.
-3
Suppose -4*h = -10*h. Solve h = -3*l - 2*l - 15 for l.
-3
Suppose 16 = -10*s + 76. Let r(j) = j + 7. Let q be r(-6). Solve s = o + q for o.
5
Let g(x) = -x**3 - 2*x - 1. Let q be g(-1). Suppose 2*f = n + 4, -q*n - 10 = -5*f - 5*n. Solve 6*d = f*d for d.
0
Let w = -6 + 8. Let a = -65 - -69. Solve w*g = g - a for g.
-4
Let p(x) = x**2 + 6*x - 7. Let h be p(-5). Let a = 5 + h. Let f be -2 - (a - (-1 - 2)). Solve -f*c - 6 = 2 for c.
-4
Let s(j) = j**2 - 15*j + 3. Let m be s(15). Suppose 0 = -m*y - 5*a + 14, 4*y = 5*a + 12 - 5. Let g be 0/(-2) + 0/(-2). Solve g*d + 15 = y*d for d.
5
Suppose 5*q + 28 = 4*z, -12 = -0*q + 3*q. Let l be z + (0 - 6/(-3)). Solve l*h + h - 20 = 0 for h.
4
Let x = 8 + -3. Suppose 3*d + 4 - 7 = -3*u, x*d = 2*u + 5. Let v(j) = -j**3 + 2*j**2 + j - 1. Let s be v(d). Solve -s = -f + 1 for f.
2
Let n be 1/((-11)/2) + (-1336)/(-88). Solve -4*s + 3 = n for s.
-3
Let m be (-3)/(21/(-4))*7. Solve m*t - 20 + 4 = 0 for t.
4
Suppose -4*u = j - 13, -3 = 4*j - 23. Suppose 0 = -0*k + u*k - 8. Solve k*a + 3 = a for a.
-1
Let b = 20 + -17. Solve 0 = 4*z + b - 19 for z.
4
Let b be (-3)/(-12) + 2/(-8). Let s = b + 2. Solve -s*o = o for o.
0
Suppose 80 - 5 = 5*q. Let z(c) = -c**2 - 5*c + 1. Let l be z(-4). Suppose -q = -l*b - 5. Solve 0 = b*t - 5*t - 9 for t.
-3
Let z be 4/(-3)*(-3)/2. Let v(c) = c**3 + 3*c**2 + 3*c - 2. Let u be v(-3). Let n = u + 17. Solve -n*h + z*h - 16 = 0 for h.
-4
Suppose -7*r + 15 = -2*r. Let o be (-1)/3 - (5/15)/(-1). Solve -3*n + o = -r for n.
1
Suppose -3*t = i - 1, t + 3*i = 5*t - 23. Suppose 3*d = 3*p - 3, 2*d + 2*p - 5 = 5. Solve -d*r = t*r - 16 for r.
4
Let l(p) = -p**2 + 6*p + 10. Let h = 11 + -4. Let z be l(h). Solve -z*t + 8 + 1 = 0 for t.
3
Let z(v) = -v**2 - 8*v - 3. Let l be z(-7). Suppose 0 = 2*t - h + 30, -2*t + 5*h = -0*t + 46. Let y = 15 + t. Solve 4*s + l = y*s for s.
-2
Let l = -12 + 7. Let m be (l - 9)*(-1)/2. Suppose -3*y + m = -5. Solve -y*g - 2 = -6 for g.
1
Let u(t) = -t**2 + 12*t + 12. Let o be u(12). Solve 2*x - o = 5*x for x.
-4
Let g be 3 + (8 + -2)/((-10)/(-15)). Solve 3*r + g = -3 for r.
-5
Let b(n) = -n + 2*n - n**2 + 0*n. Let v be b(1). Solve v = 3*u + u - 4 for u.
1
Let n be -1*(-4 + -1) + -1. Solve -5*y - n = 6 for y.
-2
Suppose -y + 2*y + 5*f = 0, f = -2*y. Let c = -2 - -6. Suppose y = c*o - 4, -13 + 2 = -2*q - 5*o. Solve 8*b - 20 = q*b for b.
4
Let j(x) = x**2 - 2*x + 3. Let u(o) = -2*o + 1. Let h be u(-1). Let f be j(h). Suppose -120 = -5*a - 5*q, -2*a + 60 = q + 4*q. Solve f*p - 2*p + a = 0 for p.
-5
Let m(x) = x**3 + 6*x**2 - 9*x - 2. Let h = -4 - 3. Let b be m(h). Solve -g - b = 2*g for g.
-4
Let s(d) = -d**3 + 6*d**2 + 5*d - 2. Let n be s(3). Suppose -n = -3*o - o. Solve -3*v - o = 2*v for v.
-2
Suppose -3*p + 4*o + 18 = 0, -4*o = -2*p + 7 + 1. Suppose 5*k = p*k + 20. Let t = -3 - k. Solve h + t = -0 for h.
-1
Suppose 4*k = -0*k. Suppose -u - 3*u - 5*s + 2 = 0, 3*u - 15 = 3*s. Let x(f) = f**3 - 2*f**2 - 4*f + 3. Let d be x(u). Solve 2*h + d*h - 4 = k for h.
2
Suppose 8 = m + 3*m. Suppose 9 = -f + 3*o + 2*o, -5*f = 4*o - 13. Solve 5 - f = m*b for b.
2
Let j(y) = 2*y**2 + 10*y + 5. Let z be j(-7). Suppose 5*l - z = -3*t, -2*l = 6*t - 4*t - 18. Solve -6 - t = -3*k for k.
4
Suppose -3*r = -5*r - q + 3, 3*r = 5*q + 11. Suppose -2*b + 1 = -5*s, -2 = 3*s - 5. Solve -r = h - b for h.
1
Let l(h) = h**2 - 4*h + 3. Let s be l(4). Solve 4*n - s = 5*n for n.
-3
Suppose -1 + 11 = -2*c - 4*x, -4*c = 5*x + 11. Let f be 2/1*1 + c. Solve 0 = f*p - 5*p for p.
0
Suppose -6 = -w - 2*h, -4*w + 2*h - h + 15 = 0. Let o(a) = 0 - w + 0 - a. Let q be o(-6). Solve 0 = q*i + i for i.
0
Let h = 20 + -14. Let s be 15/(-6)*-1*8. Solve -d + h*d = s for d.
4
Suppose b = 5*b - 60. Solve 0 = 5*l - 2*l + b for l.
-5
Let l(y) = 11*y + 1. Let d be l(1). Suppose i = -3*i + d. Solve -x = -i - 0 for x.
3
Let n = -29 - -33. Solve 0*y + n = -y for y.
-4
Suppose 0 = 2*u - u + 2. Let j be u/(-4) - 2/4. Suppose 6*m - m - 20 = j. Solve -9 = -m*y + 7*y for y.
-3
Let r be (-10)/2*144/(-40). Solve 3*z + r - 3 = 0 for z.
-5
Let c(b) be the first derivative of -b**3/3 + 7*b**2/2 - 10*b - 5. Let d be c(5). Solve d*m = 2*m for m.
0
Let n(c) = c - 1. Let k be n(7). Let f(w) = w**3 - 6*w**2 + 2*w - 9. Let i be f(k). Suppose -2*s + 3 = -d + 2*s, d + 2*s = i. Solve j = d - 4 for j.
-3
Let m(w) = w**3 - 13*w**2 + 15*w + 15. Let y be m(11). Let x be y/(-10) + (-3)/15. Solve 2*t + x = -2 for t.
-4
Let r = -15 + 15. Suppose -n + 4 = -r*n. Solve -x - n = x for x.
-2
Let i(o) = -4*o - 1. Let v be i(-1). Let l(n) = 14*n + 1. Let z be l(1). Suppose 0 = 7*k - 2*k - z. Solve -2*d = -v*d - k for d.
-3
Let y(f) = f**2 + 33*f + 66. Let p be y(-31). Solve -2*q + p*q - 2 = 0 for q.
1
Suppose 6 = 2*b + 2*m, -2*b - 3*m + 11 = 2*b. Solve -b*z = 1 + 3 for z.
-2
Let u be (7 - 10) + 24/2. Solve u*k = 5*k - 20 for k.
-5
Let m be (-12)/(2/(-3) + 0). Suppose 6*p + m = 9*p. Solve 2*u = 5*u - p for u.
2
Let j be (-1)/(-6) + (-10)/(-12). Solve j = -2*a + 7 for a.
3
Let b = -20 - -41. Suppose 0 = 3*h - 0 - b. Solve 2*k - h = 3 for k.
5
Let t be (16/(-10))/(6/(-15)). Solve -t*o = 6 + 6 for o.
-3
Suppose 3*m - 5 = v, 31 = 4*v - 0*m + 5*m. Let i(a) = a**2 - 3*a - 2. Let t be i(v). Suppose 0*h - 4 = -t*h. Solve 0 = -h*f + f for f.
0
Suppose 5*w - 3*h = 7, -2*w - 2*h - 3*h + 9 = 0. Let k be (-3)/((-1)/w + -1). Solve -1 = t + k for t.
-3
Suppose 2*g - 8 = -0*c - 4*c, -4*g + c + 7 = 0. Solve 0 = k - g*k for k.
0
Suppose 3*y = -3*n + 2*y + 21, -5*n + 27 = -y. Let c(f) = f**3 - 6*f**2 + f - 2. Let a be c(n). Solve g - a = -2 for g.
2
Let c be (5/(-15))/(2/(-24)). Solve c = 2*g - 0 for g.
2
Let q(s) = 11*s - 11. Let f(v) = 5*v - 6. Let y(o) = 7*f(o) - 3*q(o). Let h be y(6). Solve -h*t + 2 = -t for t.
1
Let a = -7 - -12. Suppose 0 = a*z - 3*z. Solve z*j = -3*j for j.
0
Let i(p) = 2*p + 8. Let j be i(-4). Solve j*k = 2*k + 2 for k.
-1
Suppose 3*x - 12 = -0. Solve 0 + x = -c for c.
-4
Let x = 2 - -1. Let d be x + (3 + -6 - 0). Solve r + 5 - 2 = d for r.
-3
Let l = 6 + -3. Suppose -2*f + 4*f = 16. Let p be f - (1 - -4 - l). Solve 0*j = 2*j + p for j.
-3
Let j = -1 - -2. Let v = j - 1. Suppose 9 = 3*m, -4*g + 2*m + v*m = -6. Solve g*i = 5*i + 8 for i.
-4
Let u(f) = -f**3 - 7*f**2 + 7*f - 13. Let h be u(-8). Let v be (-336)/(-80) - (-1)/h. Solve o - 2*o = -v for o.
4
Let q(n) = 3 + 0*n**2 - 3*n + 2 + n**2 - 10. Let u be q(5). Solve -6 - 4 = -u*x for x.
2
Suppose 8*o - 38 = 122. Solve -5*d - o - 5 = 0 for d.
-5
Let i be -2 - 2 - (2 - 0). Let d be (-1)/(-1 + i/(-8)). Solve d*b + 3 + 17 = 0 for b.
-5
Let t(x) | {
"pile_set_name": "DM Mathematics"
} |
- l**5/330 + l**4/132 + l**3/33 + 13*l**2/2 + 3. Let r(h) be the second derivative of p(h). Factor r(w).
-2*(w - 1)*(w + 1)**2/11
Let v = -76 - -384/5. Factor -3/5 - v*w**2 - 7/5*w.
-(w + 1)*(4*w + 3)/5
Let o(w) = w**4. Let k(s) = -3*s**4 - 4*s**3 - 6*s**2 + 16*s - 8. Let z(n) = k(n) + 5*o(n). Factor z(q).
2*(q - 2)*(q - 1)**2*(q + 2)
Let g be (-348)/((2/3)/1). Let i = g - -5746/11. Factor 2/11 - i*f - 6/11*f**2.
-2*(f + 1)*(3*f - 1)/11
Let s(k) be the second derivative of 49*k**6/50 + 21*k**5/100 - 69*k**4/10 - 64*k**3/5 - 48*k**2/5 - 196*k. Find d such that s(d) = 0.
-1, -4/7, 2
Let k be (11/(-22))/(2/(-16)). Suppose f + f = k. Factor c**2 + 6*c - 3 + c**2 - 5*c**f.
-3*(c - 1)**2
Let d(p) = -14*p - 1. Let i be d(-1). Let k = i + -11. Let 7/2*u**3 + 0 + 9/2*u**k + u = 0. Calculate u.
-1, -2/7, 0
Suppose 0 = 4*s - d + 209 - 206, -12 = -4*d. Solve 0 + s*r - 1/2*r**2 - 1/6*r**3 = 0.
-3, 0
Factor 58/23*v - 2/23*v**2 + 0.
-2*v*(v - 29)/23
Solve 22/5*x + 0 - 4/5*x**3 + 18/5*x**2 = 0 for x.
-1, 0, 11/2
Let b(m) be the second derivative of -16*m**7/63 + 8*m**6/9 - 11*m**5/10 + 5*m**4/9 - m**3/9 - m - 59. Let b(a) = 0. Calculate a.
0, 1/4, 1
Let q(c) = c**2 - 4*c - 11. Let d be q(6). Let m be (4 - 1) + -2 - d. Determine a so that -8/5 + m*a + 2/5*a**2 = 0.
-2, 2
Let y(w) be the third derivative of 2*w**7/105 - 4*w**5/15 - 325*w**2. Factor y(x).
4*x**2*(x - 2)*(x + 2)
Factor 415*c**2 - 832*c**2 - 9408 + 336*c + 414*c**2.
-3*(c - 56)**2
Let m(d) be the first derivative of 2*d**3/9 - 8*d**2/3 + 85. Find n such that m(n) = 0.
0, 8
Let p(y) be the second derivative of 0*y**2 - 1/60*y**6 + 15*y + 0 - 1/40*y**5 + 0*y**3 + 0*y**4. Find c, given that p(c) = 0.
-1, 0
Let d be 416/(-520) + (-8)/(-10). Let v(l) be the third derivative of 3/8*l**3 + d*l - l**2 + 5/32*l**4 + 1/480*l**6 + 0 + 7/240*l**5. Factor v(m).
(m + 1)*(m + 3)**2/4
Suppose 45 = -r - 5*j, 8*j - 165 = 2*r + 3*j. Let w = r + 492/7. Solve -2/7*v + w*v**3 + 2/7 - 2/7*v**2 = 0.
-1, 1
Let w(c) be the first derivative of -4*c**3/3 - 20*c**2 + 87. Factor w(l).
-4*l*(l + 10)
Let z(f) = -f**2 - 3*f. Let g(r) = -4*r**2 - 23*r + 32. Let m(t) = g(t) - 3*z(t). Factor m(v).
-(v - 2)*(v + 16)
Let v = -3004 + 3004. Let f be 4/6*6/8. Factor -1/2*y**4 + v*y - f*y**5 + 0 + 1/2*y**3 + 1/2*y**2.
-y**2*(y - 1)*(y + 1)**2/2
Let b = -77057/5 - -15413. Factor 2/5*g**4 - 2/5 - 2/5*g**3 - 7/5*g - b*g**2 + 1/5*g**5.
(g - 2)*(g + 1)**4/5
Let i(j) = j**3 - 43*j**2 - 89*j - 51. Let p(t) = 4*t**3 - 128*t**2 - 268*t - 152. Let x(b) = 8*i(b) - 3*p(b). Factor x(h).
-4*(h - 12)*(h + 1)**2
Let l(b) = b**2 - 5*b + 2. Suppose -9 = -2*j + 2*d + 3, -5 = 5*d. Let z be l(j). Solve 3/2*o + 1/2*o**3 + 3/2*o**z + 1/2 = 0.
-1
Let u = 26 - 155/6. Let t(s) be the first derivative of -1/3*s**3 + 3 + 0*s - 1/4*s**4 + 0*s**2 + 1/5*s**5 + u*s**6. Factor t(r).
r**2*(r - 1)*(r + 1)**2
Let y(o) be the first derivative of -12 + 1/3*o**2 + 0*o + 2/27*o**3. Suppose y(k) = 0. Calculate k.
-3, 0
Let x be (608/1764 - 16/72)/(5/35). Factor -x*z + 2/7*z**2 - 8/7.
2*(z - 4)*(z + 1)/7
Suppose -52*m**2 + 36*m**4 + 128*m + 2*m**5 - 18*m**4 - 10*m**4 - 22*m**3 - 64 = 0. Calculate m.
-4, 1, 2
Let l be -1 + 15*4/20. Let u(r) be the first derivative of 1/5*r**l - 2/15*r**3 + 1 + 4/5*r. Let u(c) = 0. What is c?
-1, 2
Let r be (-319)/145*1/(-14). Let b(n) be the second derivative of -r*n**5 + 2/7*n**2 + 5/14*n**4 + 1/35*n**6 + 6*n + 0 - 3/7*n**3. Let b(q) = 0. Calculate q.
2/3, 1
Let t = 82/5 - 487/30. Factor -1/6*m**2 + 0*m + 0 + 0*m**3 + t*m**4.
m**2*(m - 1)*(m + 1)/6
Let v be (2 - (9 + -3))*(-44)/242. Find r such that -v + 10/11*r**2 + 16/11*r = 0.
-2, 2/5
Let x(q) be the second derivative of q**7/1365 + q**6/156 + 2*q**5/195 - q**2 - 10*q. Let a(r) be the first derivative of x(r). Solve a(u) = 0 for u.
-4, -1, 0
Let k(x) be the third derivative of x**7/2415 - x**5/690 - 72*x**2. Factor k(i).
2*i**2*(i - 1)*(i + 1)/23
Let v(w) be the first derivative of -w**5/20 + 9*w**4/16 - 7*w**3/4 + 19*w**2/8 - 3*w/2 + 84. Determine j, given that v(j) = 0.
1, 6
Suppose 4*l = 12, 3*n + 4 = -2*l + 7. Let d(o) = o**2 - 1. Let g(v) = -v**3 - 4*v**2 - 7*v - 4. Let k(h) = n*g(h) + d(h). Suppose k(z) = 0. What is z?
-3, -1
Suppose -3*f + 4*i = -5*f + 16, -4*f = 4*i - 24. Suppose -57*z + 4 = -56*z. Factor -m**z + m**4 - m + 2*m**5 - f*m**4 - m + 4*m**2.
2*m*(m - 1)**3*(m + 1)
Let c(t) = 2*t**3 + t**2 - t - 1. Let u(g) = 7*g**3 + 4*g**2 + 12*g - 4. Let a(n) = 12*c(n) - 3*u(n). Suppose a(p) = 0. Calculate p.
-4, 0, 4
Let a(z) be the third derivative of 50/3*z**3 + 1/15*z**5 + 0*z + 13*z**2 - 5/3*z**4 + 0. Factor a(g).
4*(g - 5)**2
Let s(t) be the third derivative of 1/120*t**6 + 0*t + 1/8*t**4 + 2*t**2 + 0 - 1/20*t**5 - 1/6*t**3. Factor s(n).
(n - 1)**3
Let g be (-36)/10*(-40)/84. Suppose -3*j - 2 = -4*j. Factor 2/7*h**j + 18/7 - g*h.
2*(h - 3)**2/7
Let i(p) be the first derivative of 11*p + 27/8*p**2 - 3/4*p**3 + 1/16*p**4 + 8. Let t(v) be the first derivative of i(v). Factor t(o).
3*(o - 3)**2/4
Let w(f) be the second derivative of 2/9*f**3 - 13*f + 1/9*f**4 + 1/60*f**5 + 0 + 0*f**2. What is c in w(c) = 0?
-2, 0
Let o(t) be the third derivative of -t**6/20 - 3*t**5/4 - 3*t**4/4 + 7*t**3/2 - 40*t**2 - 5. Solve o(c) = 0 for c.
-7, -1, 1/2
Let v be 537/(-90) + 6 - 0. Let d(m) be the third derivative of 0*m**3 + 0*m + 0 + 0*m**4 + 1/120*m**6 + v*m**5 - 7*m**2. Factor d(t).
t**2*(t + 2)
Let g(x) be the first derivative of 3/14*x**4 + 9 + 0*x + 0*x**2 + 2/35*x**5 + 4/21*x**3. Factor g(d).
2*d**2*(d + 1)*(d + 2)/7
Suppose n + 24 = 2*n. Factor 8*j**2 - j + 7*j + 17*j + 4*j**3 - n - 43*j.
4*(j - 2)*(j + 1)*(j + 3)
Let d(q) be the third derivative of -q**6/780 + 23*q**5/390 - 40*q**4/39 + 100*q**3/13 - q**2 + 1. Determine c, given that d(c) = 0.
3, 10
Suppose -2/3*u**5 + 6*u**3 - 16/3*u + 4/3*u**4 + 0 - 4/3*u**2 = 0. What is u?
-2, -1, 0, 1, 4
Let p be 12/18 - 4/6. Let h = -3 - -3. Factor 1/2*n**2 + h*n - n**3 + 1/2*n**4 + p.
n**2*(n - 1)**2/2
Let g(l) be the third derivative of -l**6/40 + 3*l**5/4 - 75*l**4/8 + 125*l**3/2 - l**2 - 17*l. Determine j, given that g(j) = 0.
5
Let a be ((-6)/15)/(3/(-30)). Suppose -2*n + a*n = 0. Find g, given that n*g**2 + g**4 - 2*g**3 - g**2 - 2*g**4 = 0.
-1, 0
Let y = 14 + -10. Suppose -14 = -4*z + z - p, -y*p + 6 = 2*z. Let 12*g**2 + 14 + 0*g**4 - 6*g**z - 17 + 6*g**3 - 9*g**4 = 0. What is g?
-1, 1/2, 1
Let f(s) be the third derivative of -s**6/600 + 2*s**5/75 + 23*s**4/120 - s**3 + 105*s**2 - s. Factor f(p).
-(p - 10)*(p - 1)*(p + 3)/5
Let t(q) be the first derivative of -5*q**3 - 31 + 7*q**3 + 3*q**3 - 10*q**4 + 10 + 5*q**2 + 3*q**5. Solve t(u) = 0 for u.
-1/3, 0, 1, 2
Let m(f) = f**3 - f**2 - f. Let v be m(0). Let t(r) be the second derivative of 3*r**2 + 2/3*r**3 - 1/6*r**4 + v - 6*r. What is w in t(w) = 0?
-1, 3
Let z = -76 + 79. Factor 15*n + 44*n**2 - 6 + n**3 + 2*n**z - 56*n**2.
3*(n - 2)*(n - 1)**2
Let b = -128 - -130. Let s be ((-4)/14)/(18/(-14)). Suppose -28/9*k**b - s - 2*k**5 + 10/3*k**4 + 14/9*k + 4/9*k**3 = 0. What is k?
-1, 1/3, 1
Let m(q) be the third derivative of 5*q**5/6 - 55*q**4/24 - 25*q**3/6 - 2*q**2. Let r(y) = y**2 - y - 1. Let v(i) = m(i) - 30*r(i). Factor v(g).
5*(g - 1)*(4*g - 1)
Let s(n) be the first derivative of 3 - 1/6*n**3 - 1/32*n**4 - 1/4*n - 5/16*n**2. Determine t so that s(t) = 0.
-2, -1
Factor 2/9*v**3 + 8/3 - 10/9*v**2 - 16/9*v.
2*(v - 6)*(v - 1)*(v + 2)/9
Let d = -172 - -178. Let x(y) be the first derivative of -3/2*y**4 + 5 + 70/13*y**5 - 326/39*y**3 - 49/39*y**d + 88/13*y**2 - 24/13*y. Solve x(o) = 0 for o.
-1, 2/7, 1, 3
Suppose 236 = 12*r + 224. Let z(y) = -y**3 + 3*y**2 + 4*y + 2. Let m be z(4). Solve 14*u**m + 8*u + 1 - 10*u**2 - r = 0.
-2, 0
Let o(p) be the third derivative of -1/180*p**5 - 1/2016*p**8 + 1/36*p**3 + 0 + 1/360*p**6 - 1/144*p**4 + 1/1260*p**7 - 14*p**2 + 0*p. What is q in o(q) = 0?
-1, 1
Let c(x) be the third derivative of x**6/420 + x**5/210 - x**4/84 - x**3/21 - 608*x**2. Let c(i) = 0. What is i?
-1, 1
Let i be (-30)/(-2) + (10 - 11). Let t be (32/10)/(i/35). Solve -2*c**2 + 3*c + c**3 + t*c**2 + 2*c**3 = 0.
-1, 0
Let f be (10/5 - 3)*99. Let z be -12*(6/2)/f. Let -z*k - 2/11*k**3 - 6/11*k**2 + 0 = 0. What is k?
-2, -1, 0
Let c(a) be the third derivative of a**6/960 + 33*a**5/160 + 1089*a**4/6 | {
"pile_set_name": "DM Mathematics"
} |
4)/413) and -37/12.
12
Let o = -97 - -73. Let a be ((-2)/(128/146))/2. Let c = a + -3119/576. Calculate the common denominator of c and o.
9
Let g = 9 - -22. Let z = 37 - g. What is the smallest common multiple of 12 and z?
12
Suppose -2545 - 986 = f. Let t = -2 + 12. What is the common denominator of 41/14 and (f/220)/((-36)/t)?
168
Let u(q) = 7*q**2 + 2*q + 1. Let v be u(-1). Suppose 2*i = i + v. Let k = -63 - -79. What is the smallest common multiple of k and i?
48
Let x(j) = -j**3 - 10*j**2 + 15*j + 10. Let v be x(-11). Let z = v - -37. Calculate the least common multiple of 5 and z.
15
Let d(g) = 13*g - 6. Let o = -122 + 128. What is the lowest common multiple of o and d(2)?
60
Suppose 1340 + 2047 = 5*l + 3*m, -5*l = -2*m - 3367. Calculate the smallest common multiple of 30 and l.
1350
Let z = 8959/5 + -1784. Let b = -317/42 - -47/7. What is the common denominator of z and b?
30
Let p = 571/63 - 65/7. Suppose -2*b + 222 = 5*h + 2*b, 0 = -3*b + 9. What is the common denominator of p and ((-48)/(-27))/((-4)/h)?
9
Let z be 1 - 1*9273/30. Let q = 19141/60 + z. Let a = 24059/8 + -3020. Calculate the common denominator of q and a.
24
What is the common denominator of -119/320 and 4/((-216)/(-18)) + 109/(-360)?
2880
Let q = 28 + -38. Let k = q - -91/9. What is the common denominator of 51/10 and k?
90
Let t(y) = y - 24. Let k be t(0). Let d be (-35)/10*k/14. Calculate the common denominator of 7/10 and -1 + -2 + 157/d.
30
Find the common denominator of -3 + 5 - (1266/360)/1 and 19/110.
660
Let u be -1 + 1 + (10 - -1). Let z = u + 0. Suppose l - z = 2*q, q - 5*q - 12 = 0. Calculate the smallest common multiple of l and 2.
10
Let j = -124455 - -8089891/65. Let n = -20/13 - j. Find the common denominator of n and 89/15.
15
Suppose 4*k + 15 = -17. What is the common denominator of k/6*2*(-3)/22 and 20/9?
99
Suppose -5*h + 4*z + 20 = 0, -3*h + 5*z = -0*z - 12. Let s be (-8)/20 + 26/(-10). Calculate the least common multiple of (s - -6)*(-8)/(-6) and h.
4
Let j(m) = -m**3 - 11*m**2 - m - 12. Let k be j(-11). Find the common denominator of 2 + 3/(-54)*-74 and (1/39)/(k/3).
117
Let t(q) = -q**3 - 11*q**2 - 14*q - 20. Let m = -63 + 53. What is the smallest common multiple of 194 and t(m)?
1940
Let u = 6025/28 - 869/4. What is the common denominator of u and -17/8?
56
Let z = 63695 - 9172003/144. Find the common denominator of 71/112 and z.
1008
Let b be ((-138)/4)/(111/(-18) - -6). Calculate the common denominator of b/(-60)*5/6 and ((-1)/(-2))/((-3)/(-10)).
24
Let x be ((-4)/(-6) + 0)/((-2)/(-9)). Suppose -65 = -x*r - 5*b, -b = -4*r - 5*b + 84. What is the lowest common multiple of r and 16?
80
Suppose -72*f + 43 = -69*f + 2*j, 0 = 5*f - 3*j - 78. Calculate the least common multiple of f and 306.
1530
Let p(j) be the first derivative of -5 - 1/4*j**4 + 5/3*j**3 - 2*j**2 + 4*j. Calculate the lowest common multiple of 4 and p(4).
4
Suppose 4*p - 28 + 16 = 0. Let x(n) = -n**2 + 5*n + 15. Calculate the smallest common multiple of p and x(5).
15
Let v(f) = f**2 - f + 1. Let p(n) = -n - 1. Let y be p(1). Let m = y + 9. Calculate the smallest common multiple of v(0) and m.
7
Let j(t) = -t**3 - 10*t**2 + 9*t - 8. Let y be j(-11). Let k be (-7)/y - 454/76. Let b = k + 8/57. Find the common denominator of b and 59/7.
21
Suppose -3*y + 12 = -0. Suppose 0 = -2*g + y*j + 60, -2*j + 70 = 3*g - 4*j. Calculate the least common multiple of 20 and g.
20
Let u = 55 + -50. Suppose -u*m - 5 = -110. Calculate the lowest common multiple of 21 and m.
21
Let j(i) = i**3 - 3*i**2 - i - 3. Let h be j(4). Let u be (-2)/((-9)/((-513)/(-6))). Let x = u - h. Calculate the least common multiple of x and 11.
110
Suppose 2*r = 6*r - 56. Let l(o) be the second derivative of o**3/2 - 21*o**2 - 21*o. Calculate the smallest common multiple of l(18) and r.
84
Let r = 65 - 1567/24. What is the common denominator of 83/128 and r?
384
Suppose -2*a + 4 = 2*m, 5*a - 7 = 2*a - 2*m. Suppose -a*r - r = -40. Suppose -8*p - 3 = -27. What is the least common multiple of p and r?
30
Let o be 5 + (-1 + 68)/1. Let x = -63 + o. Calculate the smallest common multiple of x and 30.
90
Let s be -2*3*1/4941. Let y = s - 107051/3294. Find the common denominator of y and -65/2.
2
Suppose -83 = -3*j + w, 2*j - 3*w + 10 = 63. Calculate the smallest common multiple of j and 12.
84
Calculate the common denominator of -41/48 and (9 - 145/12) + 6*-1.
48
Let r be 3 + -1*6/2. Suppose -44*x + 40*x + 40 = r. What is the smallest common multiple of x and 11?
110
Let o(f) = -f**2 + 12*f + 20. Let r be o(16). Find the common denominator of 51/(-4) + (-22)/r and 73/6.
12
Let n be 38/(-57)*743/(-2). Let v = -245 + n. What is the common denominator of (-70)/18 + (4 - 1) and v?
9
Suppose -12*h + 16*h = 80. What is the least common multiple of h and 36?
180
Find the common denominator of 7/60 and (1/(-60))/((-2002)/4914).
660
Let k = -1624 + 1156. What is the common denominator of (1 + k/40)*1/1 and 19/6?
30
Let x = 1057 - 579. Let z be 2/((-22)/(-5239)) - 3. Let f = z - x. Find the common denominator of -91/2 and f.
22
What is the common denominator of 61/8 and (-5)/(-880)*(-4)/6*-13?
264
Suppose -2*z + 20 + 56 = 4*d, 5*z + 2*d - 214 = 0. Calculate the lowest common multiple of z and 8.
88
Let y = 902708439047/66 - 13677865266. Let s = y - -464662. Let j = s + -4/33. Find the common denominator of -117/20 and j.
20
Let x(m) = m**2 + 17*m + 33. Let a be x(-14). Calculate the common denominator of 91/10 and (189/(-2))/(-1*a/(-3)).
10
Suppose -2*p - 3*g + 2*g - 186 = 0, 0 = 5*p - 3*g + 476. What is the common denominator of 42/5 and 8/12*p/4?
15
Suppose -3*w - 116 = -2*w. Let u = -103 - w. What is the least common multiple of 11 and u?
143
Find the common denominator of -87/10 and (8 + -6)*(-308)/16.
10
Let v be 2*2/(-6) - (-2602)/16. Let l = 162 - v. Calculate the common denominator of l and -7/16.
48
Let z = 53 - 49. Let f be 1 + 1 + 0 - 9. Let h(a) = -a - 3. Calculate the smallest common multiple of h(f) and z.
4
Let t = 3 - -11. Suppose 4*x + 20 = -0*x, -n - x = 3. Suppose n*s - 2*c - 3 = 25, 0 = -3*c + 6. What is the lowest common multiple of s and t?
112
Let m = 977 - 2965/3. Suppose -2*v = -6*v + 4. What is the common denominator of m and (v - -2)/6*-31?
6
Suppose 8*i = 4*i + 17196. Let u = 38729/9 - i. Calculate the common denominator of ((-42)/(-8) + -2)*-1 and u.
36
Let n = 42 + -39. Suppose 5*t + c - 44 - n = 0, 0 = -2*c - 6. Calculate the lowest common multiple of t and 18.
90
Suppose -2*q + 51 = 3*v, 162 = 5*q + 2*v - 6*v. What is the least common multiple of 35 and q?
210
Suppose -52 = -4*m + 56. Suppose 0 = 3*q - 6 - m. Calculate the smallest common multiple of 21 and q.
231
Let m = -2386/5 + 150683/315. Calculate the common denominator of 40/177 and m.
3717
Let g = 64 - 63. Let k = -1584 + 3235/2. Calculate the common denominator of -1*g + (-54 - -12) and k.
2
Let z = -3 - -12. Calculate the smallest common multiple of z and (-28)/(-8) + 77/22 - 3.
36
Let y(a) = -2*a + 25. Let z be y(11). Suppose -3*f - k = -34, 3*f + 2*f - 54 = -z*k. What is the least common multiple of f and 16?
48
Let g(a) be the first derivative of -3*a**2/2 - 13*a - 5. Suppose -d + 2*f = 3*d - 72, 2*f - 88 = -4*d. Calculate the least common multiple of g(-6) and d.
20
Let u(k) = 5*k - 20. Calculate the least common multiple of 32 and u(8).
160
Let r(n) = -n**2 + 5*n - 2. Let w be r(3). Suppose 0 = -5*h + 5*d - 13 + 38, -w*h = -2*d - 30. Calculate the lowest common multiple of h and 6.
30
Let c be ((-18)/465)/((-14)/(-30)). Let d = 6313/4991 - c. Calculate the common denominator of d and 71/2.
46
Suppose -2*n = -4*n + 88. Suppose 5*x + 4*p - 288 - 24 = 0, -3*x + 5*p = -202. Let g = x - n. What is the lowest common multiple of g and 4?
20
Let b = -1078 + 53951/50. Find the common denominator of b and 9/100.
100
Suppose -13*k + 197 = -271. Calculate the smallest common multiple of 288 and k.
288
Suppose -z + 4*b - 11 = 0, b + 22 = -2*z - 0*z. Let y(k) = -k**3 - 12*k**2 - 11*k + 8. Calculate the smallest common multiple of 22 and y(z).
88
Let o = -767 + 8449/11. Let m(i) = 43*i**3 + 5*i**2 + 2*i + 3. Let j be m(4). Let g = j + -11297/4. Find the common denominator of g and o.
44
Let p(l) = 8*l + 4 + 2*l + 6*l**2 - 2 - 5*l**2. What is the smalle | {
"pile_set_name": "DM Mathematics"
} |
t f(h) = -9*h + 9. Let t = 8021 - 8018. Determine t*f(q) - 7*z(q).
8*q - 1
Let d(n) = -94*n - 10. Let s(u) = 142*u + 15. Let m(z) = 8*d(z) + 5*s(z). Let y(j) = 925*j + 111. Determine -111*m(h) - 5*y(h).
37*h
Let s(a) = -68*a**2 + 51*a - 51. Let q(t) = t**2 - t + 1. Suppose 1131*n - 1151*n + 266 = -754. Determine n*q(y) + s(y).
-17*y**2
Let f(y) = -10*y. Suppose 48*l - 45*l - 84 = 0. Let h(g) = g - 1. Let d(x) = 3*x - 4. Let m(k) = d(k) - 4*h(k). Determine l*m(q) - 4*f(q).
12*q
Let v(s) = 6*s**2 - 3*s - 4. Let q(i) = 5*i**2 - 53*i**2 - 4*i - 7 + 30*i**2 + 2 + 25*i**2. Calculate 2*q(r) - 3*v(r).
-4*r**2 + r + 2
Let p(r) = -10*r + 16. Let t = 1960 + -1949. Let g(o) = 8*o - 3. Let f(m) = -m. Let q(d) = 6*f(d) + g(d). Let v = 3 - 1. What is t*q(h) + v*p(h)?
2*h - 1
Suppose -40*x - 164 - 164 = x. Let t(i) = 5*i**2 - 29*i + 5. Let f(z) = 3*z**2 - 19*z + 3. Determine x*f(u) + 5*t(u).
u**2 + 7*u + 1
Let h(v) = -18*v + 1238. Let q(s) = 2*s + 3. What is h(n) + 10*q(n)?
2*n + 1268
Let m(w) = -3*w**3 + 2. Let d(h) = -7*h**3 + 5. Let u = -2045 - -2047. Calculate u*d(o) - 5*m(o).
o**3
Let p(b) = -10*b**3 - 231*b**2 - 8*b + 3. Let v(r) = -6*r**3 - 154*r**2 - 6*r + 2. Determine -5*p(f) + 8*v(f).
2*f**3 - 77*f**2 - 8*f + 1
Let y(l) = 11*l. Let b(x) be the third derivative of 5*x**6/36 - x**4/12 + x**3 - 210*x**2. Let g(o) be the second derivative of b(o). What is 6*g(v) - 55*y(v)?
-5*v
Let w = -57 + 136. Let c = 86 - w. Let d(a) = -2*a + 7. Let i(f) = -2*f + 8. Calculate c*d(k) - 6*i(k).
-2*k + 1
Let j(y) = 22. Let u(r) = -1250*r + 25. Give j(a) - u(a).
1250*a - 3
Let w(o) = 21*o - 4 + 0 - 18*o. Let c = 334 + -99. Let y(q) = -c + 2*q - q + 234. Determine -w(z) + 4*y(z).
z
Let w = 15 + -8. Let t(d) be the first derivative of d**4 + 3*d**2/2 + 7*d - 6460. Let a(l) = 2*l**3 + 2*l + 4. Determine w*a(s) - 4*t(s).
-2*s**3 + 2*s
Let c be (20/(-30))/((-2)/(-30)). Let h(z) = -23*z - 4. Let m(x) = -8*x - 1. Let k(b) = 3*h(b) - 8*m(b). Let i(o) = -16*o - 12. Determine c*k(d) + 3*i(d).
2*d + 4
Let o(j) = -14*j + 1677. Let y(u) = 11*u - 1679. Give 3*o(v) + 4*y(v).
2*v - 1685
Let v(o) = -7*o**3 + 5*o**2 + 4*o - 7. Let x(g) = -12*g + 7*g**3 - g**2 - 6*g**3 + 11*g + 1290 + 1292 - 2581. Let u be (2/4)/((-1)/2). What is u*v(a) - 5*x(a)?
2*a**3 + a + 2
Let d(t) = -9*t + 5. Let s(v) = -41316*v + 33 - 27 + 41307*v. Determine -4*d(q) + 3*s(q).
9*q - 2
Let l(b) = -2*b**2 + 223*b - 22. Let i(k) = 2*k**2 - 220*k + 18. Give 6*i(c) + 5*l(c).
2*c**2 - 205*c - 2
Let o(l) = 18*l**3 - 39*l**2. Let v(k) = 6*k**2 + 19*k + 19. Let f be v(-1). Let t(g) = 15*g**2 - 17*g**2 - 2*g**3 + 3*g**3. Determine f*o(n) - 117*t(n).
-9*n**3
Let v(s) = -985*s**2 + 5*s + 4. Let z(o) = 3*o + 2. Give v(c) - 2*z(c).
-985*c**2 - c
Let q(y) = -93*y**3 + 91*y**2 + 13*y - 67. Let m(k) = 47*k**3 - 42*k**2 - 6*k + 34. Give -13*m(n) - 6*q(n).
-53*n**3 - 40
Let l(n) be the third derivative of -n**3/6 + n**2. Let o be (1/2)/((-12)/(-24))*(4 - 7). Let s(q) = -2*q**3 - q**2 + 5. What is o*l(c) - s(c)?
2*c**3 + c**2 - 2
Suppose -3*l = 3 + 3. Let r(c) = -669 + 1051 - 3*c - 383 + c. Let y(f) = -f. Determine l*r(h) + 3*y(h).
h + 2
Let a(n) = -6*n**2 + n - 20. Let g(i) = -4*i**2 - 14. Let q(c) = 5*a(c) - 7*g(c). Let j(b) = b**2 - 4*b + 1. Determine -4*j(r) - 3*q(r).
2*r**2 + r + 2
Let l(m) = -m - 2. Let b(k) = -k. Suppose 204 = 10*f - 8*f. Let w be (3 - f/15)/((-1)/5). Suppose 0 = 5*q - 14 + w. What is q*l(p) + 4*b(p)?
-3*p + 2
Let o(i) = 18*i - 7. Let m(r) = -17*r + 6. Let b be (-6)/168 - (-846)/168. Give b*m(f) + 4*o(f).
-13*f + 2
Let g(y) = -y + 1. Suppose 2*v + 4*j - 14841 = -14875, 25 = -v - 3*j. Let w(l) = 9*l. Determine v*w(f) - g(f).
-8*f - 1
Let f(c) = c - 4. Let x(y) be the second derivative of -y**3/6 + 5*y**2/2 - 5*y. Let q be ((-16)/36)/(1/(-9)). Give q*x(m) + 5*f(m).
m
Let s(t) = 3*t - 1. Let b(v) = -3*v - 16. Let z(u) = 118*u + 118*u - 6 - 237*u. Let i(a) = -3*b(a) + 8*z(a). Give -4*i(d) + s(d).
-d - 1
Let u = -28 + 32. Let v(l) = 7*l - 4. Let m(j) = -57*j + 33. Suppose -4*t = -40*b + 39*b + 45, -2*b - 2*t = -60. Calculate b*v(s) + u*m(s).
3*s
Let a(y) = -y**3 + 2201*y**2 + 17*y - 26. Let w(f) = 275*f**2 + 2*f - 3. Calculate -2*a(q) + 17*w(q).
2*q**3 + 273*q**2 + 1
Let n(y) = -37916*y + 8. Let u(i) = 9482*i - 2. What is -5*n(p) - 19*u(p)?
9422*p - 2
Let l(h) = h**2 + 17*h + 1. Let a(d) = 5*d**2 - 1514*d + 3. What is -a(r) + 3*l(r)?
-2*r**2 + 1565*r
Let g(z) = 7*z**2 - 6*z + 4. Let q(r) = -4*r**2 + 3*r - 2. Let l(p) = 64*p - 380. Let a be l(6). Let t be a*(-3)/(60/(-55)). Calculate t*q(o) + 6*g(o).
-2*o**2 - 3*o + 2
Let a = 15 - 14. Let b(z) = z. Suppose -4*f - 5*l = -2, 3*f = 2*l + 6 + 7. Let v(u) = 5*u - f*u - 17 + 16. Give a*v(m) - 3*b(m).
-m - 1
Let k(u) = u + 1. Let w = 36 - 39. Let l(t) = -2*t - 13. Let v(r) = 4*r + 12. Let m(x) = w*l(x) - 4*v(x). Calculate 18*k(d) + 2*m(d).
-2*d
Let r(d) = d**3 - 16*d**2 - 1. Let z(w) = 76*w**3 - 176*w**2 - 4*w - 11. What is -44*r(b) + 4*z(b)?
260*b**3 - 16*b
Let x(a) = 81*a - 86. Let v(n) = -n - 22. Calculate 4*v(j) - x(j).
-85*j - 2
Let h(g) = -16*g**2 - 35*g + 13. Let z(y) = -17*y**2 - 31*y + 10. Calculate -4*h(u) + 5*z(u).
-21*u**2 - 15*u - 2
Let p(a) = 2*a**2 + 5687*a + 16. Let o(w) = 2*w**2 + 5688*w + 20. Determine -4*o(i) + 5*p(i).
2*i**2 + 5683*i
Let c(y) = -48*y**2 - 37*y + 3020. Let v(w) = 17*w**2 + 13*w - 1007. Calculate -6*c(g) - 17*v(g).
-g**2 + g - 1001
Let w(d) = -5*d**2 + 4*d + 6. Let f(m) be the second derivative of m**4/3 - m**3/2 - 5*m**2/2 + 384*m - 3. What is 6*f(r) + 5*w(r)?
-r**2 + 2*r
Let s(d) = 7*d**2 + 11*d + 6. Let u(l) be the third derivative of l**5/15 + l**4/4 + l**3/2 - 98*l**2 + 9. Determine -6*s(q) + 11*u(q).
2*q**2 - 3
Let y(f) = 7*f - 41. Let n(a) = -2*a - 6. What is 6*n(k) + 2*y(k)?
2*k - 118
Let q(p) = 10*p**2 - 8*p - 51*p**3 - 3*p + p**2. Let h be 26 + 260/(-13) + 5. Let g(k) = -10*k**3 + 2*k**2 - 2*k. Calculate h*g(o) - 2*q(o).
-8*o**3
Let l(r) = -37*r + 95*r - 25*r - 5 - 38*r + 4. Suppose 27 = -4*i - 3*d, -2*d = -3*i - 0*i - 16. Let j(h) = -h. Determine i*j(t) + l(t).
t - 1
Let k(m) = -2*m**3 - 3*m**2 - 9. Let i(v) = -3521*v**3 - 11 + 7 - 13 + 3518*v**3 - 5*v**2. What is -3*i(o) + 5*k(o)?
-o**3 + 6
Let r(g) = 3*g**3 - 7*g**2 + 6*g + 8. Let m(d) = 14*d**3 + 20*d**2 - 55*d**3 - 5*d**2 + 21*d**3 - 17 - 13*d + 14*d**3. Give -6*m(b) - 13*r(b).
-3*b**3 + b**2 - 2
Let k(i) = -256*i**2 - i - 10. Let y(v) = -257*v**2 - 14. Give -4*k(t) + 3*y(t).
253*t**2 + 4*t - 2
Let k(c) = c - 20. Let n(d) = -2*d - 60. Give -7*k(x) + 2*n(x).
-11*x + 20
Let v(b) = 2*b - 4. Suppose -35*y = -39*y + 196. Let o = -45 + y. Let r(j) = -11 + o*j + 6 - 2. Give 3*r(c) - 5*v(c).
2*c - 1
Let g(b) be the second derivative of 7*b**4/12 - b**3/3 + b**2/2 + 1646*b. Let a(x) = 8*x**2 - 2*x + 1. Give -4*a(y) + 5*g(y).
3*y**2 - 2*y + 1
Let x(b) = 55*b + 63. Let f(w) = 111*w + 151. Calculate 3*f(n) - 7*x(n).
-52*n + 12
Let o(v) = 13*v - 2. Let i(n) be the third derivative of -15*n**4/4 + 5*n**3/2 - 7*n**2 - 14. Determine -4*i(d) - 30*o(d).
-30*d
Let d(c) = -3770*c**3 + 261. Let m(u) = 29*u**3 - 575*u**2 + 0 + 575*u**2 - 3 + 1. Determine -2*d(o) - 261*m(o).
-29*o**3
Let q(s) = 1. Let v(m) = -10*m + 53. Let h(d) = d - 8. Let y(i) = -6*h(i) - v(i). What is -3*q(r) - y(r)?
-4*r + 2
Let m(u) = 638*u**3 - 3*u**2 + 7. Let v(h) = -637*h**3 + 4*h**2 - 9. Calculate -4*m(o) - 3*v(o).
-641*o**3 - 1
Let t(b) = 2*b**2 - 4*b - 1. Let k(j) = 5 + 7*j**2 - 8*j**2 - 5. Suppose 2*g - 4*c - 23 - 3 = 0, -5*c - 37 = -4*g. What is g*k(f) + t(f)?
-f**2 - 4*f - 1
Let a(f) = -20*f**2 + 8*f - 6. Suppose -43*d - 375 = -590. Let p(w) = -19*w**2 + 7*w - 5. Calculate d*a(g) - 6*p(g).
14*g**2 - 2*g
Let x(j) be the second derivative of j**3/6 - 4*j**2 - 1958*j. Suppose o + 1 = 2*o. Let a(q) = 1. Determine o*x(f) + 3*a(f).
f - 5
Let c(y) = -4*y + 3. Let v(s) be the second derivative of -12*s + 8*s**2 - 8 - 1/12*s**4 - 7/2*s**3. Give -11*c(w) + 2*v(w).
-2*w**2 + 2*w - 1
Let h(m) = -3*m + 11. Let b(q) = q - 4. Let n(s) = -8*b(s) - 3*h(s). Suppose -457*j - 8 = -458*j. Let r(g) = 12*g - 8. Determine j*n(u) - r(u).
-4*u
Suppose -p - n = -7, -391 = p - 3*n - 386. Let c(f) = 7*f**2 - 4. Let m(z) = 7*z**2 - 5. Determine p*m(o) - 5*c(o).
-7*o**2
Let z = 61 + -26. Suppose -z*o - 75 = 100. Let d(j) = -j. Let x(h) = -3*h | {
"pile_set_name": "DM Mathematics"
} |
False
Let p = -3846 + 3862. Is p a multiple of 2?
True
Let y = -21 - -27. Let s = 1 + y. Does 15 divide (-30)/(-105) - (-194)/s?
False
Let d(l) = 5*l**2 + 498*l + 1493. Let v be d(-3). Let q(k) = 28*k - 4. Let h be q(4). Suppose -48*a = -v*a - h. Does 14 divide a?
False
Let i = 59 + -58. Let b be (58/6)/(i/72*-2). Let t = -196 - b. Is t a multiple of 38?
True
Let v = -18657 - -27196. Is 45 a factor of v?
False
Let x(g) = 18*g**3 + 17*g**2 + 9*g - 39. Does 131 divide x(9)?
True
Let g(i) = 11*i - 21. Let n be g(-20). Let v = n - -357. Does 29 divide v?
True
Let r(q) = -3*q**3 - 2*q**2 - 5*q + 4. Let k = 82 - 86. Does 23 divide r(k)?
True
Suppose 0 = -4*i - 2*p + 22, 5*p - 10 = 12*i - 13*i. Suppose -i*g - 3*g - 24 = 0. Is -18*-10*((-18)/8)/g a multiple of 16?
False
Suppose -11*v - j = -8*v - 4300, 0 = 5*v + 5*j - 7160. Suppose 3*d = -3*t + v, 4*d = 16 - 0. Does 94 divide t?
False
Suppose -202*x - 5*j - 5108 = -203*x, 4*x = 3*j + 20432. Is x a multiple of 28?
False
Let j = 6655 + -4717. Does 19 divide j?
True
Let f(w) be the second derivative of -w**3/3 + 17*w**2/2 - 16*w. Let i be f(7). Does 13 divide 30/(-8) + i - 1004/(-16)?
False
Let x be 201/7 - 6/(-21). Suppose 3*v + x = s, 4*s + 3*v = 3 + 53. Suppose s*k - 12*k = 530. Does 12 divide k?
False
Let a(r) = r**2 + 3*r + 30. Let m(x) = -3*x + 57. Let i be m(14). Is a(i) a multiple of 10?
True
Let a be 6*1*23/6. Let c be 1 + -1 - a/((-23)/1458). Suppose -5*i - y = y - c, 4*i = -3*y + 1165. Is i a multiple of 28?
False
Let d = 293 - 111. Let j = d + -2. Is j a multiple of 18?
True
Let u be ((8 - 5)/3)/((-2)/(-10)). Suppose 370 = -2*z + w + 1528, -u*z - w + 2902 = 0. Is 43 a factor of z?
False
Let j = -643 + 434. Let r = 625 + j. Is r a multiple of 32?
True
Suppose 340 = 4*r + r. Suppose 5*t + 15*t - 1140 = 0. Let v = r - t. Does 11 divide v?
True
Let x(z) = -4*z + 364. Let s be (4 + 2)*1 + -6. Is x(s) a multiple of 13?
True
Let v = 35 + -6. Let w = 37 - v. Suppose w*f - 496 = 4*f. Does 31 divide f?
True
Let z(f) = f**2 + 24*f - 2. Let m be z(-21). Let o = 80 + m. Suppose 0 = 5*b + o, -x = -3*b - 24 - 3. Is x a multiple of 3?
True
Is 7 a factor of (((-1724)/(-6))/1)/((-81)/((-61236)/24))?
True
Suppose b = -10*m + 5*m + 24894, 5*m - 5*b = 24870. Does 176 divide m?
False
Suppose 0 = -3*n - 9 - 3. Is 37 a factor of (42 - n) + -6 - (-1 + 4)?
True
Suppose 15*t - 18932 = 3343. Is t a multiple of 11?
True
Suppose -o - 1 = 2*s - 0, 4*s + 5*o = -5. Does 61 divide 1/(s - -3)*3660/5?
True
Let j = 313 - 14. Suppose -4*s = -5*s + j. Suppose -3*t + y + s = 0, 0 = -3*t + 4*y + y + 307. Is 32 a factor of t?
False
Suppose 0 = -10*h + 5*h + 15. Suppose h*n - 5*n + 22 = 0. Is 8 a factor of 220/n - (-8)/2?
True
Suppose -17 = -5*d - 22. Let q be d*3/9*-849. Suppose 2*b - q = 233. Is 40 a factor of b?
False
Let m = 749 - 249. Let j = m + -336. Does 17 divide j?
False
Let i = 16117 + 1977. Is 166 a factor of i?
True
Is 8 a factor of 64/(-3)*(-20)/(400/2115)?
True
Does 25 divide 2268 - (12/9 - (-125)/(-15))?
True
Let s(l) be the third derivative of 7*l**6/60 - l**5/60 - l**4/12 - l**3/2 - 3*l**2 - 24. Does 30 divide s(3)?
True
Suppose -384*z + 198*z + 1997268 = 0. Is z a multiple of 14?
True
Suppose -13*a + 1162 + 2094 = -956. Is a a multiple of 10?
False
Is 2 - 6 - 1 - (-43140)/24*14 a multiple of 37?
True
Let z = 7 + -12. Let g be (-16)/(-40) + 12/z + -35. Let q = g + 66. Is 14 a factor of q?
False
Let m(f) = 4*f**3 - 8*f**2 + 5*f - 7. Let r be 4 - ((1 + 4 - 3) + -134). Let p = 141 - r. Is m(p) a multiple of 14?
False
Suppose -3*o + 5 + 25 = 0. Let k(b) = b - 17. Let d be k(o). Is 30 a factor of (d - -7) + (-168)/(-2)?
False
Let c(g) = 0*g + 347*g**2 - 2*g - 68*g**2 - 8 - 5*g. Does 51 divide c(-1)?
False
Let b(p) = 502*p - 140. Is b(13) a multiple of 103?
True
Let x = -16 - -35. Let u(q) = 1. Let r(y) = y**2 - 14*y - 13. Let h(j) = r(j) - 6*u(j). Is h(x) a multiple of 19?
True
Let s = 141 + 434. Suppose 2*j = -4*i + 242, 0*i - 5*i - s = -5*j. Does 9 divide j?
True
Let n be ((-198)/(-44))/(1/(-2)). Is 3 a factor of (-669)/n*(1 - -2)*1?
False
Let p(l) = 3*l - 37. Let y be p(14). Let v = 35 - y. Is (-10)/v + 1160/6 a multiple of 25?
False
Let p be (68/(-85))/((-2)/5). Is 3 + p + (-4136)/(-22) a multiple of 20?
False
Suppose -156*t = -163*t + 42070 + 25179. Is 48 a factor of t?
False
Let m(g) = 17*g**2 + 38*g - 17. Let a(b) = 15*b**2 + 33*b - 16. Let r(d) = 7*a(d) - 6*m(d). Let x(s) = -3*s - 3. Let n be x(-2). Is 5 a factor of r(n)?
False
Let z(m) = m**2 - 124*m + 5262. Is z(122) a multiple of 12?
False
Let l(x) = 1. Let a(w) = -3*w + 25. Let y(i) = a(i) + l(i). Let z be y(8). Suppose 480 = 2*t + z*t. Does 24 divide t?
True
Suppose -18*f + 16*f + 6 = 0. Is 4 a factor of -41*(-4)/f*3/2?
False
Let n(h) = -2*h**2 - 3*h + 142. Let t(p) = p**2. Let z(c) = -n(c) - t(c). Is 46 a factor of z(19)?
True
Let a = -4029 + 7562. Does 12 divide a?
False
Suppose -k + 0 = -10. Let v = 652 - 453. Suppose k = -3*r + v. Is 21 a factor of r?
True
Let k be 10/((20/(-5))/(-496)). Suppose 34*o = 44*o - k. Is 8 a factor of o?
False
Suppose 0 = -5*p - 70 - 60. Let f = p - -66. Let l = f - -64. Is l a multiple of 52?
True
Let r(y) = y + 2. Let n be r(3). Suppose 6*j - 9*j + n*m = -1354, -2*j + 888 = 4*m. Does 32 divide j?
True
Suppose -39*t + 40*t = 2. Is 26 a factor of (124/5)/(t/115)?
False
Suppose -150287 = -42*l + 44693 + 38372. Is 13 a factor of l?
False
Suppose -u - 25 + 1 = 5*v, -3*u + 3*v = 0. Let h be u/1 + 7/(28/16). Suppose h = 3*p - 89 - 40. Is 12 a factor of p?
False
Let b = -3162 + 9060. Does 29 divide b?
False
Suppose 28*t = 23*t + 1065. Let h = t + -168. Is 5 a factor of h?
True
Suppose 12 + 14 = 4*f + 5*b, -5*b - 10 = -5*f. Suppose -18*l = -22*l + 3*s + 221, f*l - 219 = 5*s. Is 7 a factor of l?
True
Suppose -k - 4 = -u, u - 3*k = -0*k + 12. Is 32 a factor of 38/(-95) + 1926/15 + u?
True
Let q(d) = d**3 + 13*d**2 + 10*d - 14. Let h be q(-12). Let o(a) = -14*a**2 - 5*a + 69*a**2 + 8 - h. Does 38 divide o(-2)?
True
Let b = 503 - 237. Is b a multiple of 2?
True
Let c(i) = -i**2 - 22*i - 46. Let z be c(-13). Suppose -3*n + 3*q + 456 = 0, 3*q + 375 = 2*n + z. Does 8 divide n?
True
Suppose -8*o + 28 = -o. Suppose -o*n = -3*n + 2, -n = 2*q - 34. Does 8 divide (6/q)/(1/159)?
False
Let k(p) = -211*p + 12. Let r be k(-4). Let b = 2356 - r. Is b a multiple of 60?
True
Suppose -54*z + t = -3*t - 378198, 5*z = t + 35024. Is z a multiple of 20?
False
Let w = 48 - 93. Let i = w - -44. Let u(b) = 79*b**2 - b. Is u(i) a multiple of 16?
True
Let j = -176 - -199. Is (-6)/5*j/(92/(-600)) a multiple of 18?
True
Suppose -2*a = 2*h - 9 - 7, 0 = 3*h + 2*a - 22. Suppose h*s - 3104 = -10*s. Does 18 divide s?
False
Suppose -264*g = 178*g - 584766. Is 3 a factor of g?
True
Let q = 31972 - 15556. Does 342 divide q?
True
Let z = -5290 - -7560. Is 10 a factor of z?
True
Suppose -5*t - 2*y = -781, 772 = 5*t + y - 2*y. Let d = t - -15. Suppose d = 4*i - 278. Is 9 a factor of i?
False
Suppose 4*k + 13*c - 17820 = 11*c, 2*c = 0. Is k a multiple of 165?
True
Suppose 12*f = -10*f + 88. Suppose 2*n = k + 98, -244 = -n - f*n + 2*k. Is 4 a factor of n?
True
Suppose 2*b = -2*b + 4*n - 1284, 3*n - 6 = 0. Let p = 187 + b. Does 33 divide (-2*3/12)/(1/p)?
True
Let s(v) = 2*v**2 - 9*v - 57. Is 85 a factor of s(57)?
False
Let x(o) = 45*o + 47. Let n be x(10). Let i = n + -308. Does 7 divide i?
True
Let x = -141 - -99. Let v = x + 231. Is 13 a factor of v?
False
Suppose 9*i + 14*i - 39835 - 27900 = 0. Is i a multiple of 19?
True
Let d(f) = 6*f**3 - 3*f**2 - 20*f + 80. Does 31 divide d(10)?
True
Let g(v) = 278*v**2 - 27*v - 5. Let q(k) = 1528*k**2 - 148*k - 28. Let i(l) = 28*g(l) - 5*q(l). Is i(2) a multiple of 17?
True
Suppose v + 2*o = -58, -35 = 2*v + 2*o + 79. Let y = v - -66. Suppose -y*k - 4*k = -1512. Does 17 divide k?
False
Let z = 11435 - 5631. Is z a multiple of 17?
False
Let p = 2761 + -1941. Is 10 a factor of p?
True
Suppose -5*x = 4*s + 16, s - 6*s = -x - 9. Does 20 divide (38/114)/(s/327)?
False
Is (-391 + 1)*(5 - 11) a multiple of 39?
True
Suppose -533 = -6*u - 539. Does 33 divide ((-4)/12 + u)*297/(-6)?
True
Suppose -18226 = -24*g - 9268 + 50802. Is 30 a factor of g?
True
Suppose 3*z - d - 100074 = 19131, z = 5*d + 39735. Does 204 divide z?
False
Suppose 0 = 39* | {
"pile_set_name": "DM Mathematics"
} |
439 - 431. Let q(h) = 5*h + 26 - a*h**2 + 14*h**3 - 18 - 11*h**3. What is 5*g(o) - 4*q(o)?
-2*o**3 - 3*o**2 + 3
Let s(m) = -m**3 + 3*m**2. Let w(a) = 5*a**3 - 224*a**2 - 2*a. What is -6*s(j) - w(j)?
j**3 + 206*j**2 + 2*j
Let x(r) = -48*r**2 - 4*r. Let h(y) = 10*y**2. Let n(q) = -5*h(q) - x(q). Let i be 2/4 - 14/4. Let c(p) = -4*p**2 + 7*p - 1. Determine i*c(f) + 5*n(f).
2*f**2 - f + 3
Let c be (-2 + 6)*(-10)/(-8). Let h(x) = -x**2 - 4*x + 1. Let f(o) be the first derivative of -2*o**3/3 - 9*o**2/2 + 3*o - 373. Calculate c*h(b) - 2*f(b).
-b**2 - 2*b - 1
Suppose 4*a = -7*a + 33. Let n(u) = -13 - u + a*u + 9 + 8. Let b(g) = 2*g + 3. Let j be (0 + 2/5)*-5. Give j*n(q) + 3*b(q).
2*q + 1
Let m(j) = 17*j**2 + 21*j + 8. Let k(y) = -4*y**2 - 11*y - 56. Let w(g) = -12*g**2 - 32*g - 159. Let t(i) = -17*k(i) + 6*w(i). Determine -6*m(z) - 26*t(z).
2*z**2 + 4*z + 4
Let l(m) = 14*m**2 - 10*m + 13. Let z(t) = 15*t**2 - 11*t + 12. Calculate -8*l(f) + 9*z(f).
23*f**2 - 19*f + 4
Let k(o) = -163*o - 324. Let i be k(-2). Let a(u) = 5*u + 8. Let v(n) = -1. What is i*a(x) + 18*v(x)?
10*x - 2
Let h(s) = 26*s - 1. Let x(b) = -1. Suppose 5*k = 14*k + 22 - 13. Determine k*h(w) + 2*x(w).
-26*w - 1
Let m(t) = 5389*t**3 - 6*t - 2. Let f(d) = 4850093*d**3 - 5403*d - 1801. Determine 2*f(z) - 1801*m(z).
-5403*z**3
Let z(q) = -18*q + 100. Let w(v) = 14*v - 81. Let g(p) = -4*w(p) - 3*z(p). Let y(n) = n. What is -g(j) - 3*y(j)?
-j - 24
Let z(r) = -r**2 - 3*r. Let g(s) = 5*s + s**2 - 15 - 28 - 18 + 61. Suppose -3*k = -5*k - 10. Determine k*z(p) - 3*g(p).
2*p**2
Let i(n) = 3534*n**3 - 10*n**2 + 5*n + 5. Let z(v) = 26505*v**3 - 76*v**2 + 38*v + 38. Give 38*i(o) - 5*z(o).
1767*o**3
Let p(m) = -9*m**2 + 0*m**2 + 2 + 7*m - m**2 + 11*m**2 - 1. Let x(b) = -4*b**2 - 28*b - 4. What is -9*p(f) - 2*x(f)?
-f**2 - 7*f - 1
Let z(s) = -25*s + 1. Let b(h) = 9*h - 36. Give b(m) + z(m).
-16*m - 35
Let i(d) = 7*d**3 - 8*d + 7. Let v = -6525 - -6519. Let c(z) = -z**3 + z - 1. Determine v*c(g) - i(g).
-g**3 + 2*g - 1
Let n(r) = 18*r - 38. Let c be n(6). Suppose 24*j + c = 19*j. Let f(p) = 4*p**2 + 3. Let x(i) = 21*i**2 + 14. Give j*f(o) + 3*x(o).
7*o**2
Let y(v) = -66. Let k(u) = 4*u - 4076. Calculate 2*k(d) - 136*y(d).
8*d + 824
Let h(t) = 3*t + 42. Let b(g) = 4*g + 59. Let u(n) = 7*b(n) - 10*h(n). Let w(k) = -2*k - 8. Determine -3*u(j) + 2*w(j).
2*j + 5
Let g = 2 + -6. Suppose 17*l = -95 - 4 + 48. Let u(w) = 4*w**3 - 2*w**2 + 4*w. Let b(h) = -4*h**3 + 3*h**2 - 5*h. Calculate g*u(k) + l*b(k).
-4*k**3 - k**2 - k
Let a(g) = g - 1. Let v(m) be the second derivative of -5*m**3/3 + 5*m**2/2 + 20*m - 93. Determine -2*a(l) - v(l).
8*l - 3
Suppose -13*l + 153*l - 2380 = 0. Let d(c) = -2*c + 11. Let p(m) = -6*m + 32. Give l*d(s) - 6*p(s).
2*s - 5
Let s(k) = -256*k + 18. Let i(d) = -507*d + 30. Calculate 3*i(h) - 5*s(h).
-241*h
Suppose c = 2*c - 2. Let t be 3*(c/(-3) + 2/(-6)). Let l(h) be the first derivative of -h**2 + 3*h + 17. Let z(v) = 2*v - 2. Calculate t*z(f) - 2*l(f).
-2*f
Let w = 134285 - 134288. Let d(a) = 6*a**3 - 7*a**2. Let o(f) be the first derivative of -3*f**4/4 + f**3 + 1. Calculate w*d(h) - 7*o(h).
3*h**3
Let v(o) = 445*o**3 - 7*o + 6. Let k(h) = 444*h**3 - 8*h + 7. Calculate 6*k(m) - 7*v(m).
-451*m**3 + m
Let t(n) = 1. Let x = -357 - -362. Suppose 3*c - 29*a = -31*a - 18, 0 = -4*c - x*a - 31. Let l(s) = s**3 - 2*s**2 + s - 4. Determine c*t(v) - l(v).
-v**3 + 2*v**2 - v
Let f(v) = -1364*v + 4. Let t(o) = -1337*o + 3. What is 3*f(u) - 4*t(u)?
1256*u
Let y(l) be the first derivative of -1/2*l**2 + 423 + 0*l. Let s(b) = -9*b - 3. Let o(f) = -4*f - 1. Let m(v) = -5*o(v) + 2*s(v). Calculate m(i) - 2*y(i).
4*i - 1
Let w(j) = -2*j + 1. Let n(a) = -18*a**2 - 8*a + 3. Give -n(b) + w(b).
18*b**2 + 6*b - 2
Let c(j) = -29*j**2 - 392*j + 10. Let k(v) = -82*v**2 - 1176*v + 28. Determine -17*c(o) + 6*k(o).
o**2 - 392*o - 2
Let h(f) = 5*f**2 - f. Let p(u) = 10*u**2 - 2*u. Suppose 253*z - 254*z - 15 = 0. Let y be (-18)/(-2) - (-60)/z. Calculate y*h(j) - 3*p(j).
-5*j**2 + j
Let k(o) = -2*o**2 - 580*o - 2. Let u(a) = -a**2 + a - 1. What is -k(h) + 3*u(h)?
-h**2 + 583*h - 1
Let q(b) be the third derivative of -b**6/10 + 3*b**5/10 - 15*b**2 - 121. Let z(j) = j**3 - j**2. What is 2*q(a) + 36*z(a)?
12*a**3
Let r(i) = i**2 - 5*i - 14. Let h(a) = -a + 1. Suppose 31 - 100 = -9*k - 60*k. What is k*r(o) - 5*h(o)?
o**2 - 19
Let g(z) = 6*z**3 - 10*z. Let d(v) be the second derivative of v**5/4 - 11*v**3/6 + 2*v - 188. Give -5*d(h) + 4*g(h).
-h**3 + 15*h
Let s(d) = -6*d**2 + d. Suppose j - 6 = r, -5*r - 6 - 12 = j. Let g = 3 + j. Let l(t) = -t - t + t + t + 1135*t**2 + t - 1142*t**2. What is g*l(b) - 6*s(b)?
b**2 - b
Let h(p) = 14*p**2 - 6*p + 9. Let a(y) = -2*y**2 + 2*y - 1. Give 5*a(t) + h(t).
4*t**2 + 4*t + 4
Let t(g) be the first derivative of -2*g**3 - 2*g + 873. Let k(i) = i**2. Let a(q) = 4*q + 1. Let z be a(-1). Let v be z/(1 - 10/4). What is v*k(s) + t(s)?
-4*s**2 - 2
Let p(s) be the first derivative of 173*s**2 - 21 + 35*s - 1 - 175*s**2. Let c be p(8). Let j(i) = 1. Let q(h) = -h - 4. Determine c*j(r) + q(r).
-r - 1
Let a(h) = 3*h**2 - 9*h + 3. Let f be (14/(-126))/((-1)/(-27)). Let q(i) = i**2 - 5*i + 2. Give f*a(v) + 5*q(v).
-4*v**2 + 2*v + 1
Let i(v) = -13*v**2 + 12*v + 2. Let p(a) = -7*a**2 + 6*a + 1. Suppose 44 = -11*m, m + 17 = -5*n + 43. What is n*i(z) - 11*p(z)?
-z**2 + 6*z + 1
Let v(j) = 2*j**3 - 11*j**2 + 5*j + 3. Let g(u) = 9*u**3 - 46*u**2 + 30*u + 13. Give 3*g(d) - 13*v(d).
d**3 + 5*d**2 + 25*d
Let o(j) = 6*j**2 + 4*j. Let f(i) = -880*i**2 - 13*i - 1. Give f(g) + 3*o(g).
-862*g**2 - g - 1
Let a(x) = -x**2 + x - 7. Let m(b) = -4*b**2 + 13*b - 120. Give 2*a(v) - m(v).
2*v**2 - 11*v + 106
Let v(m) be the second derivative of -m**4/6 + m**3/3 + m**2 + m + 370. Let f(n) = 2*n**2 - 3*n - 3. Calculate -2*f(o) - 3*v(o).
2*o**2
Let v(i) = -i + 1. Let o(x) be the second derivative of 14*x**3/3 - 12*x**2 - 9*x - 56. Give o(p) + 24*v(p).
4*p
Let v(w) = 517*w**2 + 5*w - 15. Let c(l) = 2580*l**2 + 24*l - 72. Calculate 5*c(s) - 24*v(s).
492*s**2
Let m(r) = -32*r - 2. Let j(u) = 62*u - 2187. Determine -j(s) - 2*m(s).
2*s + 2191
Let s(b) = b - 8. Let x(m) = 1. Let i = -76 - -177. Let u = -98 + i. Give u*s(t) + 24*x(t).
3*t
Let l(v) = 52*v + 65. Let g(y) be the second derivative of y**3/6 + y**2/2 - 4*y + 191. Give -130*g(w) + 2*l(w).
-26*w
Suppose -17*u - 6 = -20*u. Let z(s) = 1 - u*s + 5*s**2 + 0*s + 1 - 7. Let b(y) = 9*y**2 - 3*y - 9. Calculate -4*b(q) + 7*z(q).
-q**2 - 2*q + 1
Let w(n) = n + 3. Let s(b) = -3*b - 10. Let o(p) = -42*p - 366. Let a(y) = -14*y - 122. Let d(h) = 14*a(h) - 5*o(h). Let u be d(-9). Give u*s(f) - 11*w(f).
f + 7
Let y = 172634 - 172630. Let u(d) be the first derivative of -d**3/3 - d**2/2 + 4*d - 1. Let q(r) = -2*r**2 - 2*r + 9. Determine y*q(f) - 9*u(f).
f**2 + f
Let w(t) = -3*t**3 - 4*t**2 - 13*t + 1. Let p(g) = 2*g**3 + 2*g**2 + 7*g. Suppose d + 2*q = 13, -19*q + 15*q = 4*d - 32. Give d*w(c) + 5*p(c).
c**3 - 2*c**2 - 4*c + 3
Let x(n) = n**3 - 2*n**2 + 2*n - 10. Let y(v) = 48*v - 142. Let h be y(3). Let l(o) = -3*o**3 + 5*o**2 - 5*o + 21. Give h*l(p) + 5*x(p).
-p**3 - 8
Let p(z) = 4*z + 396. Let l(c) = c + 32. What is 5*l(m) - p(m)?
m - 236
Let f(t) = -1841*t - 6. Let s(v) = -1678*v - 6. Determine 5*f(c) - 6*s(c).
863*c + 6
Let x(r) = -10*r**3 + 9*r**2 - 9*r - 8. Let h be (43 + -6)*(-3 - (-2 - 6)). Suppose h*z - 72 = 181*z. Let t(u) = u**3 - u**2 + u + 1. What is z*t(f) + 2*x(f)?
-2*f**3 + 2
Let r(c) = 8*c + 2. Let f(i) = 7*i + 2. Let g = -889 + 500. Let b = g - -384. What is b*f(w) + 4*r(w)?
-3*w - 2
Let h(r) = -4*r**2 + 9*r + 7. Let i(q) = 5*q**2 - 10*q - 8. Let v = -4752 + 4757. Give v*i(p) + 6*h(p).
p**2 + 4*p + 2
Let l(q) = 25*q**2 - 20*q - 59. Let d(j) = -12*j**2 + 8*j + 30. What is -5*d(a) - 2*l(a)?
10*a**2 - 32
Let z(q) = -16*q**3 - 2*q - 5. Let u = 18219 - 18214. Let t(w) = 8*w**3 + w + 2. Give u*t(c) + 2*z(c).
8*c**3 + c
Let c(r) = 3*r**3 - 38*r**2 + 9*r - 7. Let b(k) = 2*k**3 - 18*k**2 + 4*k - 4. Calculate -7*b(n) + 4*c(n).
-2*n**3 - 26*n**2 + 8*n
Let h(s) be the second derivative of 5*s**3/6 + 7*s**2/2 + 25*s. Let j(l) = -4*l - 6. Let t = -2334 + 2329. Give t*h(q) - 6*j(q).
-q + 1
Let x(u) = -105. Let z(g) = -1422. Let o(n) = -27*x(n) + 2*z(n). Let f(k) = -k - 27. Cal | {
"pile_set_name": "DM Mathematics"
} |
centuries to millennia.
0.09012788
How many millilitres are there in 1/4 of a litre?
250
How many centuries are there in 52680.64 decades?
5268.064
How many years are there in twenty-seven fifths of a century?
540
Convert 906.0171 litres to millilitres.
906017.1
Convert 0.9834216 minutes to nanoseconds.
59005296000
How many millilitres are there in fifteen quarters of a litre?
3750
What is fifty-three fifths of a milligram in micrograms?
10600
What is twenty-nine fifths of a litre in millilitres?
5800
What is 53/4 of a microgram in nanograms?
13250
Convert 6.291036 centuries to months.
7549.2432
What is 3/10 of a day in minutes?
432
How many kilometers are there in 4.592907mm?
0.000004592907
What is seven quarters of a gram in milligrams?
1750
How many hours are there in 4/21 of a week?
32
Convert 0.634501mm to centimeters.
0.0634501
How many nanometers are there in 6440.642 micrometers?
6440642
What is 0.2031639ng in tonnes?
0.0000000000000002031639
How many seconds are there in seven quarters of a hour?
6300
How many litres are there in 99.44111ml?
0.09944111
How many minutes are there in three fifths of a hour?
36
How many minutes are there in ten sevenths of a week?
14400
Convert 2817.208cm to millimeters.
28172.08
What is 0.1424926km in micrometers?
142492600
How many meters are there in 95414.58cm?
954.1458
How many weeks are there in 492.803514 nanoseconds?
0.000000000000814820625
What is 18/5 of a century in years?
360
What is 27/5 of a litre in millilitres?
5400
How many kilograms are there in seventeen halves of a tonne?
8500
How many millilitres are there in five eighths of a litre?
625
What is 8.472348 litres in millilitres?
8472.348
What is 3/25 of a millimeter in micrometers?
120
What is 61/2 of a millimeter in micrometers?
30500
Convert 2.122614mg to micrograms.
2122.614
What is 2431824.6ns in minutes?
0.00004053041
How many litres are there in 216334.5 millilitres?
216.3345
How many millilitres are there in 18/5 of a litre?
3600
How many kilograms are there in 3/5 of a tonne?
600
What is 3/25 of a litre in millilitres?
120
What is fifty-one eighths of a litre in millilitres?
6375
What is fourty-five halves of a litre in millilitres?
22500
Convert 220.8587ns to milliseconds.
0.0002208587
Convert 768.3779t to kilograms.
768377.9
What is thirty-one halves of a litre in millilitres?
15500
How many micrograms are there in 3/25 of a milligram?
120
What is twenty-one fifths of a millennium in decades?
420
How many millilitres are there in 6/25 of a litre?
240
What is one fifth of a litre in millilitres?
200
How many kilometers are there in 393.8819cm?
0.003938819
Convert 0.6577409 millennia to centuries.
6.577409
Convert 7.114164 centuries to decades.
71.14164
Convert 40799.84 decades to years.
407998.4
Convert 92216.95m to centimeters.
9221695
How many nanometers are there in 3/25 of a micrometer?
120
What is 1812.339mm in nanometers?
1812339000
What is 34/5 of a milligram in micrograms?
6800
What is 3/40 of a micrometer in nanometers?
75
What is 3.990945um in kilometers?
0.000000003990945
How many days are there in 2360.84004us?
0.0000000273245375
What is 61544.01 millennia in centuries?
615440.1
What is 60.20342 nanograms in micrograms?
0.06020342
What is seven quarters of a gram in milligrams?
1750
What is 1/5 of a litre in millilitres?
200
What is 0.1761635 grams in milligrams?
176.1635
What is one sixteenth of a centimeter in micrometers?
625
How many meters are there in 5/8 of a kilometer?
625
What is 32/5 of a microsecond in nanoseconds?
6400
How many kilometers are there in 802.1011 centimeters?
0.008021011
How many minutes are there in 0.8958673 weeks?
9030.342384
What is fourty-eight fifths of a micrometer in nanometers?
9600
What is five quarters of a litre in millilitres?
1250
What is one tenth of a milligram in nanograms?
100000
What is 7/4 of a microgram in nanograms?
1750
What is 0.1986699kg in micrograms?
198669900
How many litres are there in 6472.107 millilitres?
6.472107
What is 884.8863 micrograms in kilograms?
0.0000008848863
What is 0.92989 minutes in microseconds?
55793400
How many millilitres are there in 0.1571436 litres?
157.1436
How many meters are there in 2/125 of a kilometer?
16
What is one eighteenth of a day in seconds?
4800
What is 94034.38 centuries in decades?
940343.8
How many millilitres are there in 3/5 of a litre?
600
How many minutes are there in one sixth of a hour?
10
Convert 974.5116 centimeters to kilometers.
0.009745116
What is 9.217644ns in milliseconds?
0.000009217644
Convert 182.501343 milliseconds to days.
0.0000021122840625
What is five quarters of a year in months?
15
What is 333317.2m in millimeters?
333317200
How many millilitres are there in 5/8 of a litre?
625
What is 21/2 of a millimeter in micrometers?
10500
How many nanoseconds are there in 8.81601us?
8816.01
What is 3/16 of a minute in milliseconds?
11250
How many millilitres are there in one twentieth of a litre?
50
How many millilitres are there in 67/5 of a litre?
13400
What is 941257.4 centimeters in nanometers?
9412574000000
Convert 0.9927688 millennia to decades.
99.27688
How many meters are there in five eighths of a kilometer?
625
How many millilitres are there in 89/2 of a litre?
44500
How many millilitres are there in seven eighths of a litre?
875
What is 9955.584ug in nanograms?
9955584
How many hours are there in 95.1264 weeks?
15981.2352
How many decades are there in 9222.691 years?
922.2691
What is 607623.8 decades in centuries?
60762.38
What is three fifths of a litre in millilitres?
600
What is 1/5 of a minute in seconds?
12
What is one fifth of a kilogram in grams?
200
What is twenty-one fifths of a century in months?
5040
How many nanograms are there in twenty-one eighths of a microgram?
2625
Convert 337579.5 nanograms to milligrams.
0.3375795
How many kilometers are there in 0.0399396m?
0.0000399396
What is 6849.607ug in grams?
0.006849607
How many millilitres are there in twenty-one fifths of a litre?
4200
What is 68.30518 microseconds in nanoseconds?
68305.18
What is one twentieth of a millimeter in nanometers?
50000
How many minutes are there in twenty-three sixths of a week?
38640
What is seven eighths of a litre in millilitres?
875
What is 2572.768l in millilitres?
2572768
What is 13/5 of a litre in millilitres?
2600
How many centimeters are there in seven halves of a meter?
350
How many micrograms are there in twenty-one halves of a milligram?
10500
How many millilitres are there in 17/2 of a litre?
8500
What is one quarter of a meter in millimeters?
250
What is 288.4924l in millilitres?
288492.4
What is 625703.3 decades in months?
75084396
What is 508.6322 decades in millennia?
5.086322
What is 7.587958ml in litres?
0.007587958
What is eleven halves of a hour in minutes?
330
How many millilitres are there in 13/8 of a litre?
1625
How many millilitres are there in one twentieth of a litre?
50
How many nanometers are there in 71812.17 micrometers?
71812170
What is 0.7871855 millennia in years?
787.1855
Convert 1954.36854ms to days.
0.00002262000625
What is twelve sevenths of a week in days?
12
What is thirteen fifths of a millennium in decades?
260
What is 2/15 of a century in months?
160
What is 15/4 of a milligram in micrograms?
3750
How many millilitres are there in fourty-nine fifths of a litre?
9800
How many months are there in 4/3 of a millennium?
16000
How many millilitres are there in 1/10 of a litre?
100
How many millennia are there in 0.0823167 decades?
0.000823167
Convert 8.151915g to nanograms.
8151915000
How many millilitres are there in 12/25 of a litre?
480
What is 1/24 of a day in minutes?
60
What is thirty-four fifths of a micrometer in nanometers?
6800
How many centuries are there in 29/2 of a millennium?
145
What is 554656.6 centuries in months?
665587920
What is three eighths of a tonne in kilograms?
375
How many micrograms are there in 29.65058 nanograms?
0.02965058
What is nine tenths of a litre in millilitres?
900
How many millilitres are there in 3/8 of a litre?
375
What is 705054.9t in nanograms?
705054900000000000000
What is 0.7812626 micrometers in kilometers?
0.0000000007812626
What is 335560.9l in millilitres?
335560900
What is 765937.6 centuries in decades?
7659376
Ho | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
-51
Let c(g) = 5*g - 74. Let y be c(10). Let l be (y/84 + 15820004/14)*-2. What is l rounded to the nearest 1000000?
-2000000
Let m = 50263437 + -87563437. Round m to the nearest one million.
-37000000
Let l = 3.76 - 3.760003072. Round l to seven dps.
-0.0000031
Let z = -1 + -3. Let b(o) = -o**3 - 4*o**2 + o + 5. Let d be b(z). Let f be (-50)/(-6)*(d - 7441). What is f rounded to the nearest 10000?
-60000
Let f = 1577 + -1577.921. Round f to 2 decimal places.
-0.92
Let l be (2 + -5)*35/15. Let b(q) = -q**3 - 6*q**2 + 6*q - 9. Let p be b(l). Let t be (-1 - 6/p) + -730002. Round t to the nearest one hundred thousand.
-700000
Let n = 40 + -33.8. Let k = n - 2.6. Let z = 3.59999955 - k. What is z rounded to 7 decimal places?
-0.0000005
Let j = -28.9 + 2.9. Let b = j + 26.0000042. What is b rounded to six decimal places?
0.000004
Let x = 0.87 - 1. Let q = -2.17 + x. Let g = 0.61 + q. Round g to one dp.
-1.7
Let z(o) = 10843*o**2 - 127*o - 10. Let b be z(-6). What is b rounded to the nearest one hundred thousand?
400000
Let x = -873616546.412 + 906590.412. Let i = x + 872709893.0000063. Let a = i - -63. What is a rounded to six decimal places?
0.000006
Let c(y) = 2*y**2 + y. Let m(h) = -9871*h**2 - 13*h - 35. Let i(q) = 5*c(q) + m(q). Let u be i(17). What is u rounded to the nearest one hundred thousand?
-2900000
Let p = 619.801323 + -616.6013. Let q = p + -3.2. Round q to 5 dps.
0.00002
Let n = -6.27 + 7.019. What is n rounded to two dps?
0.75
Let q = -252 + 255.4. What is q rounded to one decimal place?
3.4
Let u = 247.9813 - 248. Round u to two dps.
-0.02
Let v = 6681.05989 + -287503.18089. Let k = 281109 + v. Let d = k + -287. Round d to two decimal places.
-0.12
Let a be 10*12/150 - (-2583416)/5. Suppose -l = 152394 + 150922. Let r = l - a. What is r rounded to the nearest one hundred thousand?
-800000
Let s = 1397 - 1369.06. Round s to the nearest integer.
28
Let f = 49 + -40. Let n(g) = 97781*g - 29. Let r be n(f). What is r rounded to the nearest one hundred thousand?
900000
Let b = -46 + 44.8. Let x = -1.1998 - b. What is x rounded to three decimal places?
0
Let j be 28/(-36) + 4/(-18). Let y = 4 + j. Let a be y/(-6) - 2659999/2. Round a to the nearest 100000.
-1300000
Let a = 13.45 + -13.44999371. Round a to 6 decimal places.
0.000006
Suppose -2*b + 22*b = 57900000. What is b rounded to the nearest 100000?
2900000
Let u = 4 + 5. Let b = 13 + -37. Let z be (-168)/u*b + 2. Round z to the nearest one hundred.
500
Let i = -558.459 - -629.5. Let c = 71 - i. Round c to 2 dps.
-0.04
Let c = 0.211 + 105.789. Let a = -106.53 + c. Round a to 1 dp.
-0.5
Suppose -5*i + 584 - 134 = 0. Let x be 18/i - 6501/5. Round x to the nearest one thousand.
-1000
Let u = 406289.200015 - 406305.2. Let f = -14.7 - 1.3. Let y = f - u. Round y to 5 dps.
-0.00002
Let l = 2.05 - 2.1. Let z = l + -12.65. Let w = 13.91 + z. What is w rounded to 1 decimal place?
1.2
Let r(g) = -49503*g**2 + 9*g. Let n(i) = -74254*i**2 + 13*i. Let o(d) = -5*n(d) + 7*r(d). Let t be o(-2). Suppose 6*y + t = 3*y. Round y to the nearest 10000.
-30000
Let j = -168.854 + 0.054. Round j to the nearest 10.
-170
Let k = -1.955 + -57.675. What is k rounded to the nearest 10?
-60
Let h = -79.5998577 - -79.6. What is h rounded to five decimal places?
0.00014
Let k(a) = 9966712*a - 272. Let u be k(6). What is u rounded to the nearest one million?
60000000
Let u = -104 + 104.98. Let t = -41.02 - u. Let y = 41.99939 + t. What is y rounded to four dps?
-0.0006
Let i = 0.307 + 15.793. Let h = 16.1147 - i. Round h to 3 dps.
0.015
Let d = 72 - 33. Let g = -6401231.000046 + 6401192. Let z = g + d. Round z to five decimal places.
-0.00005
Let h(g) = g**2 + 10*g + 11. Let w be h(-9). Suppose -4*f - i + 11196 = 0, 0 = 2*f + w*f + 3*i - 11188. What is f rounded to the nearest 100?
2800
Let j = 325 - 324.999947. Round j to 5 dps.
0.00005
Let x = -177.00001096 + 177. What is x rounded to seven dps?
-0.000011
Let r = -4.2 + -65.8. Let x = r + 10. Let j = -54.8 - x. What is j rounded to the nearest integer?
5
Let c = 11256 - 11354.98. Let r = c - -98. What is r rounded to 1 decimal place?
-1
Suppose -16*w = -17*w + 7420000. Round w to the nearest one million.
7000000
Let a = -47.46 - 0.54. Let g = a + 47.958. Round g to two decimal places.
-0.04
Let d = -0.14 + 18.14. Let t = d - 18.07. What is t rounded to 1 dp?
-0.1
Let v = 0.02 + -0.041. Let o = v - -0.0225. Round o to 3 decimal places.
0.002
Let d = -112.081 - -112. Let o = 1.141 + d. What is o rounded to 1 decimal place?
1.1
Let l = 528.863 - 529. What is l rounded to three dps?
-0.137
Let r(v) = 2522*v + 118. Let h be r(-19). Round h to the nearest ten thousand.
-50000
Let z(b) = b**3 - 9*b**2 + 9*b - 1. Let a be z(8). Let g(d) = 30003*d - 21. Let f be g(a). What is f rounded to the nearest one hundred thousand?
200000
Let j = 204 - 203.999474. Round j to four dps.
0.0005
Let n = 18512177.999951 + -18512144. Let l = -34 + n. Round l to five decimal places.
-0.00005
Suppose 8*p - 3*f = 5*p - 15117015, 5038995 = -p - f. Round p to the nearest 100000.
-5000000
Let m = 34672 + -34667.50082. Let r = m + -4.5. What is r rounded to 4 decimal places?
-0.0008
Let g = 0.5 + -9.5. Let n = 6052243.09 + -6052234.08999897. Let s = n + g. Round s to 7 decimal places.
0.000001
Let m = -105.25 + 104. Let b = 16.75 + m. Round b to the nearest integer.
16
Let x(m) be the first derivative of -5600000*m**3/3 - m**2 + 2*m + 4. Let a be x(1). Round a to the nearest one million.
-6000000
Let f = 999.01328 - 999. Round f to 3 dps.
0.013
Let a(l) = -4735*l**3 + 18*l**2 - 19*l. Suppose 0 = 4*r - 5*x - 47, 0 = -x - 3*x + 4. Let b be a(r). What is b rounded to the nearest one million?
-10000000
Suppose 3*i - 4*k + 5653836 = 5*i, -2*i - 5*k + 5653840 = 0. Let m = 3965892 - i. Let a = 1738982 - m. Round a to the nearest one hundred thousand.
600000
Let s = 1.092 - 0.782. Round s to 0 dps.
0
Let b = -24.8 + 220.8. Let r = 196.00000366 - b. What is r rounded to 6 dps?
0.000004
Let s = -525.4521 + 500.05. Let p = s + 37.6868. Let u = p + -12.3. What is u rounded to 3 decimal places?
-0.015
Let u = -0.1520597 + 22.1521897. Let s = u - 22. Round s to five decimal places.
0.00013
Let p = 571 - 571.000275. Round p to 4 decimal places.
-0.0003
Let y = 19.1418 + -13.637. Let d = -5.5 + y. What is d rounded to three dps?
0.005
Let n = -1.658998494 - -1.659. What is n rounded to 7 dps?
0.0000015
Let n = -0.399616 - -0.039905. Let v = 0.65 - 0.29. Let b = v + n. Round b to 5 decimal places.
0.00029
Suppose -5*i - 20 = -0*i. Suppose -2*j + g - 2*g - 8 = 0, 26 = -4*j + 3*g. Let s be (i/j)/((-4)/40). What is s rounded to the nearest 10?
-10
Suppose -4*p + 2*q + 2 = -0*q, 5*p - 2*q - 2 = 0. Let f be (p - -9250)/((-4)/(-320)). Suppose o + o = -f. What is o rounded to the nearest one hundred thousand?
-400000
Let y = 40827 - 16657. What is y rounded to the nearest 1000?
24000
Suppose 2*d + 0*d + 162984 = 0. Let c be 232/24*47*252. Let r = c + d. Round r to the nearest 10000.
30000
Let p = 233 + -233.00000038. What is p rounded to seven dps?
-0.0000004
Suppose 2*q = 4*f - 104399992, -4*f + 4*q + 104400008 = 6*q. What is f rounded to the nearest 1000000?
26000000
Let t = 16.2975 + -0.0575. Let z = 16 - t. Let y = -0.48 - z. What is y rounded to 2 dps?
-0.24
Suppose -p = 4*n - 0*p - 1305061, n - 2*p = 326263. Suppose 6*i - n = i. Suppose -r - 174747 = i. What is r rounded to the nearest one hundred thousand?
-200000
Let m = -0.1378 + 0.16. Round m to three dps.
0.022
Let h = 58072 + 31928. Round h to the nearest one hundred thousand.
100000
Let j = 704 + -702.82. What is j rounded to the nearest integer?
1
Suppose -32*k = 39848 - 10280. Round k to the nearest one hundred.
-900
Let y = 388 - 292.64. What is y rounded to the nearest 10?
100
Suppose 3*j + 600001 - 2666068 = 0. Let o = j - 354689. Suppose v - o = -v. Round v to the nearest 10000.
170000
Let k(c) = -13424999*c + 2. Let q be k(-2). Suppose 34*s = 29*s + q. Round s to the nearest one million.
5000000
Let t(g) = 4132*g**2 + 18*g - 284. Let p be t(22). What is p rounded to the nearest one million?
2000000
Let r = 1911 - 1035. Suppose -7*v - r = -v. Round v to the nearest ten.
-150
Let d = 987 + -600. Let k = d - 263. Let v = k - 123. | {
"pile_set_name": "DM Mathematics"
} |
369935 a prime number?
False
Is 1457080711 a prime number?
True
Is 8112358949 prime?
False
Is 40466737523 prime?
True
Is 29451946067 a prime number?
False
Is 1965746021 composite?
True
Is 681804427 composite?
False
Is 35525443 prime?
True
Is 24297488011 a composite number?
True
Is 7294244183 a prime number?
True
Is 78597584193 a prime number?
False
Is 156027764839 prime?
True
Is 1277008897 prime?
False
Is 2747091979 a prime number?
False
Is 70294489 composite?
False
Is 134147909359 composite?
True
Is 40207267 composite?
False
Is 654727063 a composite number?
False
Is 10963936331 a prime number?
False
Is 4901039849 a composite number?
True
Is 569876943 composite?
True
Is 15358395469 a composite number?
False
Is 131074549 prime?
True
Is 582402683 a composite number?
True
Is 867073237 a prime number?
False
Is 155069505391 a prime number?
True
Is 7510361707 a prime number?
True
Is 1495687 prime?
True
Is 607274662 prime?
False
Is 954608261 a composite number?
True
Is 7428483841 a prime number?
False
Is 608030834 a composite number?
True
Is 293337833 a composite number?
False
Is 4361060597 prime?
True
Is 61588781 composite?
False
Is 4608978861 composite?
True
Is 8514701813 a prime number?
True
Is 24499290589 a prime number?
False
Is 1562689321 composite?
True
Is 649286963 a composite number?
True
Is 45513409943 a prime number?
False
Is 8015793671 prime?
True
Is 26292683 a prime number?
False
Is 2549649209 a composite number?
False
Is 68491621847 composite?
True
Is 3345645733 prime?
False
Is 6517520039 prime?
True
Is 1008746143 composite?
False
Is 353082889 a prime number?
True
Is 8774384261 prime?
False
Is 2202754517 a prime number?
True
Is 22175175961 a prime number?
False
Is 6354278237 composite?
False
Is 9960490117 a composite number?
True
Is 452209931 composite?
True
Is 115087711 a composite number?
True
Is 892207061 composite?
True
Is 1036542797 composite?
True
Is 50401070417 a composite number?
False
Is 203245840439 a prime number?
True
Is 6870395177 composite?
True
Is 18819219233 prime?
False
Is 6353891029 composite?
True
Is 6207373 prime?
False
Is 11335659563 a prime number?
False
Is 3482622071 composite?
False
Is 4572949691 prime?
True
Is 71919149 prime?
True
Is 773280421 a composite number?
True
Is 9758507233 a prime number?
True
Is 9819916817 prime?
False
Is 2890879517 composite?
False
Is 9193419077 a composite number?
True
Is 185582707 prime?
True
Is 86299453 a prime number?
True
Is 16558926557 a composite number?
True
Is 7384395673 prime?
False
Is 4433053759 prime?
True
Is 616748711 prime?
False
Is 11703301971 a composite number?
True
Is 3943441591 composite?
False
Is 13807048121 a composite number?
False
Is 10571652683 a prime number?
False
Is 24909534977 prime?
True
Is 541764107 a composite number?
False
Is 20268759971 a composite number?
False
Is 16530129307 prime?
True
Is 484700941 prime?
True
Is 6786426113 a composite number?
False
Is 35635440349 a prime number?
True
Is 7638095303 composite?
False
Is 1109979443 composite?
False
Is 96858703 composite?
True
Is 1529536489 a composite number?
True
Is 3789054209 a composite number?
False
Is 487918267 composite?
False
Is 3916868479 a composite number?
False
Is 2694676423 a prime number?
False
Is 710577554 prime?
False
Is 154989613 prime?
True
Is 456201253 composite?
False
Is 1579119359 composite?
False
Is 3187943641 a prime number?
False
Is 64881339227 a prime number?
True
Is 13521198401 a prime number?
True
Is 2665820717 a prime number?
False
Is 598467109 a prime number?
True
Is 1309667921 composite?
False
Is 1557400781 composite?
True
Is 727788889 a prime number?
False
Is 31193891621 a prime number?
True
Is 77235163943 prime?
False
Is 490490459 a prime number?
False
Is 80976427463 composite?
False
Is 348335083 composite?
True
Is 50283882419 composite?
False
Is 9884316011 prime?
True
Is 8994915317 a prime number?
False
Is 700771103 prime?
True
Is 3687239317 prime?
True
Is 2615497301 a prime number?
True
Is 9134520839 a prime number?
True
Is 1607381371 a composite number?
False
Is 109805711 prime?
True
Is 6884933737 composite?
True
Is 6191501 a composite number?
False
Is 2606640671 a prime number?
False
Is 1083500039 prime?
False
Is 1427244220513 a prime number?
True
Is 95670534779 a composite number?
True
Is 849491099 prime?
True
Is 114118553 a composite number?
False
Is 11469048823 prime?
True
Is 29727699461 a composite number?
False
Is 2738532383 prime?
True
Is 750633199 composite?
False
Is 3913827629 a prime number?
False
Is 37135871693 composite?
True
Is 17443295033 a prime number?
False
Is 1363622131 a composite number?
True
Is 4653422239 a prime number?
True
Is 3282886877 a composite number?
False
Is 2292291731 composite?
True
Is 1001696611 a composite number?
True
Is 55702712251 a prime number?
True
Is 2387693663 prime?
False
Is 9484084787 composite?
False
Is 163423571 a composite number?
False
Is 3265257029 a prime number?
True
Is 157782091 prime?
False
Is 14679355127 a prime number?
True
Is 57115741 a prime number?
True
Is 7070498681 composite?
False
Is 1094557117 composite?
False
Is 612922087 prime?
False
Is 34875328927 composite?
True
Is 187360003 composite?
False
Is 11971165961 a prime number?
False
Is 12700691167 a composite number?
False
Is 129225556513 prime?
False
Is 22071767843 prime?
True
Is 10818227819 a prime number?
False
Is 412012267 composite?
True
Is 2165196641 composite?
False
Is 17870037023 composite?
False
Is 458225323 composite?
False
Is 194260201 a composite number?
True
Is 74593903 a composite number?
False
Is 455317309 prime?
True
Is 2016422953 a composite number?
True
Is 3001410847 prime?
True
Is 111760462031 prime?
False
Is 3639272583 a prime number?
False
Is 472251413 composite?
True
Is 94925771 a composite number?
False
Is 4361967271 a prime number?
True
Is 7396758611 a composite number?
True
Is 1180515701 a prime number?
True
Is 24412808191 composite?
False
Is 6013931723 composite?
True
Is 8781628049 prime?
False
Is 1656051823 composite?
False
Is 644451853 a prime number?
True
Is 3040811399 composite?
True
Is 44089711 prime?
True
Is 996777083 a prime number?
True
Is 1910773897 a prime number?
False
Is 2173444205 prime?
False
Is 818570693 a prime number?
True
Is 7867495561 a prime number?
False
Is 1318739987 prime?
True
Is 2170257979 composite?
True
Is 5760408931 composite?
False
Is 2753252317 a composite number?
False
Is 389946547 a prime number?
True
Is 35827663297 composite?
False
Is 8577681787 prime?
True
Is 22198556719 composite?
True
Is 2985779773 composite?
False
Is 6848676343 a prime number?
True
Is 1008739951 composite?
True
Is 13837819657 prime?
True
Is 1190196737 composite?
False
Is 29444137403 composite?
True
Is 280044599 a prime number?
False
Is 463818263 composite?
False
Is 750001517 a composite number?
False
Is 550917791 a prime number?
True
Is 24116993627 a prime number?
False
Is 253402333 a composite number?
True
Is 32574737617 prime?
True
Is 58940283221 composite?
False
Is 97438977071 a composite number?
True
Is 1041986431 a prime number?
True
Is 4543090963 a prime number?
False
Is 35594080723 prime?
True
Is 366057163 prime?
True
Is 27081867349 prime?
True
Is 6902133853 prime?
False
Is 55766669914 composite?
True
Is 6971811191 a prime number?
False
Is 13557944633 a prime number?
False
Is 3575907017 composite?
False
Is 4287338303 composite?
False
Is 6757810223 a prime number?
False
Is 1326108313 a composite number?
True
Is 948991049 a composite number?
False
Is 2102498107 a prime number?
True
Is 37232271143 a composite number?
False
Is 27125625791 a prime number?
False
Is 485881111 a composite number?
False
Is 1278213107 prime?
True
Is 3883526141 a composite number?
True
Is 32560868467 composite?
False
Is 94426091 prime?
False
Is 14972070605 prime?
False
Is 609553939 prime?
False
Is 3000503119 composite?
True
Is 1392229961 a prime number?
True
Is 1249051423 prime?
True
Is 4567421567 a prime number?
True
Is 1672350431 a composite number?
False
Is 2444841163 a composite number?
False
Is 476827763 a prime number?
True
Is 2294414711 prime?
False
Is 1158533599 composite?
False
Is 1628832143 a composite number?
False
Is 230802181 a composite number?
True
Is 69292361 a composite number?
False
Is 65724533101 composite?
True
Is 46625916121 | {
"pile_set_name": "DM Mathematics"
} |
17)/1039)/(21/574)?
-82
Evaluate -1*288/128*(133/(-840) - 1/(-8)).
3/40
-1 + 6 + 47 - ((-128)/(-32))/1
48
14/(-12)*46 + (-3500)/420
-62
Evaluate (5 - 2)*1*7300/(-876).
-25
Evaluate 656/(-574)*(-165)/(-60)*42/(-1).
132
(-57371)/(-2785) + 9/(-15)
20
(-18146)/12556 + 184/(-3358)
-3/2
Evaluate ((38/266)/(4/168))/((-4)/(-1)).
3/2
What is the value of 112/2912*-3*(-20)/(-6)?
-5/13
Evaluate -170*12/(-1224)*(-90)/(-125).
6/5
What is the value of -5 + 1 - (-107)/((-3103)/1044)?
-40
Calculate (120/(-624))/((-70)/455).
5/4
Calculate (5 + (-180)/35)/(((-52)/1183)/1).
13/4
114 - (167 + 136 + -275)
86
((55 - (-45576)/(-828)) + 162/23)*62/(-14)
-31
Evaluate 2/((-8)/(-6) + -147 + 145) - -1.
-2
Calculate (-278)/(-7) + 6/(-15)*1405/(-1967).
40
Evaluate (-1760)/1540*7/2.
-4
Calculate (-1958)/890*(13/2 + -9).
11/2
Evaluate (-2040)/(-6528)*(-4)/(-90)*(-6)/2.
-1/24
(-258)/(-473) + (7 - 6320/(-110))
65
20952306/465795 - 1/(-55)
45
What is the value of -30 - 548/6*8370/(-25420)?
3/41
What is the value of (-4720)/1770*(-6)/(-152)*-1?
2/19
Calculate (-27891)/405 + (-14)/105.
-69
Evaluate (31 - 16) + -22 + (-189)/(-54).
-7/2
What is (-2*(-6)/8)/((-143)/(907764/(-138)))?
69
((-7015)/(-366))/(80/472) + 6/(-72)
113
What is (-24*70/(-11088))/((-30)/36)?
-2/11
What is (75/(-5))/((-72)/(-64))*-64*(-3)/40?
-64
(1033 - 1035)/((-6)/(-6036)*4*101) - -5
2/101
What is (-4)/(-82) - 1332/2220*(-1165)/(-41)?
-17
What is -5*(-111)/(101565/6)?
2/61
What is (2 - 32) + 370 + -343 + -20?
-23
What is the value of (264 + -282)*15/(-11070)?
1/41
(-14 - 1629/(-126))*62/1240
-3/56
Calculate ((-208)/10)/13 - (-128)/5.
24
Calculate ((143648126/(-1495650) - -96) + 2/50)*(1 + 2).
-2/169
((-51)/1071)/((5 + -14)/(-3))
-1/63
Calculate 1 - -64 - (44/660)/((-2)/(-210)).
58
-2*(2*-1 + -6)*(611 - 615)
-64
Calculate (108/(-135) + (-4)/20)/((8/(-184))/(-1)).
-23
What is the value of (-1 - 0)/(-62 - (-2300)/50)?
1/16
-21 - 10104/(-462) - 96/(-352)
8/7
What is (1116/(-42) - (-512)/64)/(50/175)?
-65
(-2)/(-47) + (-54)/((-192888)/160588)
45
Calculate (-360)/13 + -1 + (16949/221 - 77).
-29
Evaluate 12*6/(-240) + (1/(-24))/(120/3296).
-13/9
(-42)/728*13*5/((-30)/184)
23
9/(-4) - (-97)/((-31040)/(-16400))
49
What is 62/2*((360/(-5))/(-18))/(-17 - -13)?
-31
What is the value of ((-88)/(-42))/(-2) + (17516/(-151))/(-116)?
-1/21
What is the value of 115830/(-476586) + (-24)/(-664)?
-6/29
Evaluate (((-52)/(-14))/(-4 - -5) - 4)/(20/(-80)).
8/7
Evaluate (-3 + (-316)/(-24))/(35/210).
61
(-258)/(-8) + 276*99/(-1188)
37/4
Calculate (38*(-30)/(-32))/((-837)/(-2232)).
95
What is the value of (-4 + -7)*(-2)/(-42) - 1442/(-2163)?
1/7
Calculate ((-9597)/735 - -13)*105/231.
-2/77
What is the value of (((-112)/(-21) - 5) + (-2108)/(-93))*-1?
-23
Calculate 2002/(-13013) - (2/(-8) + (-8010)/(-2184)).
-25/7
((-32)/(-11312))/(-11 + 152/14)
-2/101
What is 8 + (-12)/(-2*(-40)/6944*(-6520)/(-50))?
2/163
What is (-20 - (-29211)/1605) + (-101)/5?
-22
Calculate (-14 + -3010)/56 - -25.
-29
273/858*(-60)/35
-6/11
(-39)/(-52)*6*3*(0 - 26/(-13))
27
What is (-25 - 1120/(-48))*1428/(-170)?
14
What is 12 + 4361/(-49) + 42?
-35
Calculate ((-2400)/420)/((-414)/805*5).
20/9
7888/238 - (27 - 0) - -1*12/14
7
What is the value of 36/(-21)*31948/5868?
-28/3
Evaluate (805/1400 + -14 + (-1090)/(-80))*-22.
-22/5
Calculate (-15)/(-17)*(-122655)/(-12025).
9
What is the value of ((2840/480)/71)/((-57)/(-12))?
1/57
What is the value of (3/18*-3)/(-30 + 7/(-14))?
1/61
Evaluate (-1 - 6)*((-896)/(-2352))/(340/15).
-2/17
Evaluate 29/(-1) + -7300 + 7300.
-29
What is the value of (22 - (-1606)/(-55)) + (16/5 - (-108)/(-36))?
-7
150/(-16) - (-820)/4920*18*3
-3/8
(67 + -68)*(9/(-12))/((-91)/52)
-3/7
What is the value of (-12978767)/168573 + 6/(-747)?
-77
What is the value of (-72)/1539*-639 - 12 - 4/(-38)?
18
3029/(-466)*150/26975
-3/83
What is -79 + 17820/105 + -86?
33/7
What is the value of (0/(-2) + 125/15*-2)*(-6156)/(-4104)?
-25
(12507/231 - 47)*56/20
20
Evaluate (31 - (-5060)/(-161))/((-180)/(-70)).
-1/6
What is the value of 165*-36*4/(-3168)*4?
30
What is (8556/114080)/(2/(-20))?
-3/4
(-260)/360 - 28/(-42)
-1/18
Evaluate (-46)/5566*132 + 72/187.
-12/17
What is the value of (709 + -785)*4/38?
-8
What is the value of (9 + (-595)/68)/((-4)/72)?
-9/2
Evaluate ((82/10)/1)/((-1052)/38135*29).
-41/4
What is (-30)/(-1 + 6) + 3610/665?
-4/7
What is 6/(-304)*106438/(-33612)?
1/16
-8 - (-6)/(84/(-35))*10*459/135
-93
Evaluate 60/((-3)/(-11 + 0 + (-11 - -24))).
-40
What is the value of 24311/(-2114) - -733*(-2)/(-128)?
-3/64
(666/(76 + -39))/423
2/47
What is the value of (-192)/(-4) - (258 - 234)?
24
What is (-324)/(-24138) + (-7446)/(-298)?
25
(-14)/49 + (-1006)/1820 + (-33)/(-858)
-4/5
((-108)/10)/((-5250)/21875)
45
Calculate ((-6)/(-10))/(166/(-1701500)*-205).
30
(-275)/11*(-1782)/(-990)
-45
6364/(-3108) - 975/(-455)
2/21
What is the value of (-817)/(-19) + (-3857)/133?
14
Evaluate (-46 + 40 + 7)*-40.
-40
What is the value of ((-3 - -34) + -28)*602/(-126)?
-43/3
What is (((-84)/(-9))/(-14))/((-272)/(-240))?
-10/17
Evaluate 11 + 15 + 1*-15 + 119/(-10).
-9/10
What is (5 + 0 + (-372)/60)*(-505)/404?
3/2
Calculate 9/4*(-155)/(-186)*(-142)/(-3195).
1/12
Evaluate (-456)/14*((1456/52)/(-84) + 46/12).
-114
What is (1862/(-1715) - (5 - 6))/((-7)/(49/4))?
3/20
Calculate -2*(-236)/(-8) + (1616/707)/(13/91).
-43
Evaluate 6*-92*((-95067)/(-1134) + -84).
92
What is the value of 99 - (-4)/2 - (90 + -101)/(165/(-60))?
97
588/(-8820) - (-66)/(-45)*17
-25
What is the value of (-123)/18 + 16*(-1818)/(-22464) + 12/(-26)?
-6
Evaluate ((-2)/2)/(-61 - (-70799)/1162).
14
Calculate ((-24)/430)/((-80)/3400*17).
6/43
(140/(-168))/((-825)/(-44))*5*3/2
-1/3
What is (267/623*(-2)/12)/1?
-1/14
What is the value of (-5 - -3)*((-475)/(-76) - (-5)/20)?
-13
What is the value of ((-2280)/(-152))/(11 + -5)?
5/2
Calculate (300*50/(-5500))/((-2)/33).
45
What is the value of 45/(-4)*350/(-30)*(-192)/(-240)?
105
What is ((1500/(-8))/5)/(2808/(-3744))?
50
Calculate ((-8)/(-14))/((282/8)/((-10836)/2752) + 9).
12
(-3213)/1278 + 45/189*7*63/42
-1/71
(-207)/4968 + 37282/(-336)
-111
What is the value of (-1155)/1260*(428/88 + (0 - 5))?
1/8
Calculate 72/(-14)*(-35812)/(-7674).
-24
(1862 + 10)/18*(-7 + -12*25/(-40))
52
Calculate ((-480)/(-2394) - (-4)/(-42))*(-32 + -14 + 34).
-24/19
What is the value of (-9 - ((-1824)/209 + 0)) + 3752/44 + -1?
84
What is ((-93075)/150)/(-73)*12/30?
17/5
What is (-3920)/343*21/6?
-40
What is the value of (3294/28182)/((-60)/(-2200))?
30/7
Calculate 2/(-6) + ((-1455)/18333)/((-13)/((-273)/(-6))).
-1/18
(-55)/(-33)*36 + -54 + 54
60
What is the value of (-10)/(120/99)*(-23)/1449*-42?
-11/2
Calculate 103896/14430*20/6.
24
(17/(-5) - -3)/(9840/3075)
-1/8
Calculate 69615/3570*(-12)/(-130) + -12.
-51/5
Calculate (-55)/((-3410)/(-496)) + 13.
5
Evaluate (-7)/980*-14*105/2.
21/4
((-492)/(-1230))/(16/(-75))
-15/8
Calculate 27 - (17 + 135 + -36).
-89
Calculate (36/(-21))/((-11)/(1408/96)).
16/7
Calculate 43 + (186354/270)/(-17).
12/5
(212 - 211)/((-18 + 16)*(-4)/(-8)*6)
-1/6
Evaluate 9/(-126) + (83/3)/((-41)/(246/28)).
-6
What is (114/228)/(16/992)?
31
((-2 - -1) + 10)*(-3742)/78582*(-7)/33
1/11
What is 71 - 56 - 7 - ((-6)/27 + 1030/18)?
-49
What is ((-490)/255)/(65/((-3510)/126))?
14/17
(180 + -179 + -61)*7/(-10)
42
What is the value of 1 - 2/2 - 870/464*(-18)/(-45)?
-3/4
What is -1*(9 - 0 - ((-347)/(-39) - 780/(-5850)))?
2/65
What is the value of -5*2/(-175)*-7*(-72)/(-48)?
-3/5
What is (2/10)/((-2)/14) + (117 - (-155856)/(-1360))?
1
Calculate 24090/2600 + -11 - 27/(-540)*35.
1/65
Evaluate ((-38768)/(-50883))/(6/(-21)).
-8/3
What is the value of 509320/878220 + (-5)/9?
1/41
What is the value of 1*135/(-42) + -7 + -4 + 70/5?
-3/14
(284908/158891)/(4/290) + (-1)/((-2)/(-18))
121
((-3)/1)/(68/(32164/(-645)))
11/5
13 - (-11)/((-88)/96) - (-306)/((-42)/(-7))
52
Calculate ((-141)/4230 + 26/(-12))*5.
-11
Calculate (-5 + 75)*((-963)/(-535) + (-4)/5).
70
What is ((-76)/(-494) + (-90)/(-936))/((-82)/(-16))?
2/41
Evaluate 17 + (-11370)/170 - -50.
2/17
Evaluate -16*((-45)/84 + (-429)/2002).
12
-10 + 0 - ((4/7)/(29/(-3248)))/7
-6/7
Evaluate (28920/(-465) - -62)*14/7.
-12/31
Evaluate (227 - 2185)/(-89) + 5613/(-255).
-1/85
Calculate 79 - (93 - 82) - 23.
45
(-1 - 23 - (2280 + -2262 - (-1 + 30))) + -109
-12 | {
"pile_set_name": "DM Mathematics"
} |
2 and 0.089621724.
-0.0179243448
Work out -0.5 * 10013882.
-5006941
What is the product of -1 and -0.5573562?
0.5573562
What is -734912.553 times 0?
0
5998 * -3.389
-20327.222
Multiply -5695.0507 and 0.
0
What is the product of 68.5 and 16951?
1161143.5
-0.3509*-0.457
0.1603613
Calculate 0.0623*1548.
96.4404
Work out -90202592 * -3.
270607776
Calculate -746*-1.87618.
1399.63028
What is 3310 times -175?
-579250
Multiply 177888581 and 1.
177888581
Calculate 107*-74608.
-7983056
What is -0.4 times -439471079?
175788431.6
Multiply -10 and 619239.
-6192390
4*102291.461
409165.844
Calculate 116811*-44.8.
-5233132.8
Work out 1320252 * 19.
25084788
Calculate -917*-10934.2.
10026661.4
Work out -1.507 * 762.
-1148.334
What is the product of 60 and 4660?
279600
What is the product of 0.06 and 478944?
28736.64
What is -0.153 times -56807?
8691.471
What is the product of 232307 and 2028?
471118596
What is the product of 0.0422 and -17.1075?
-0.7219365
18347.55 * -4
-73390.2
What is the product of 21 and -302144?
-6345024
-4646952 * -63
292757976
Product of 4677 and 25.531.
119408.487
Product of 36677 and -525.
-19255425
What is the product of -78877 and -459?
36204543
Calculate 794491*58.
46080478
What is the product of -3.429 and 9362?
-32102.298
What is 0.101613 times 73?
7.417749
What is the product of -25.2 and -456789?
11511082.8
What is -1511 times -200?
302200
Calculate -346*89270.
-30887420
Calculate 6108*840.
5130720
What is -32.7 times -112094?
3665473.8
-1.6249 times 0.314
-0.5102186
-1.204823*-5
6.024115
0.12*-0.0696643
-0.008359716
Multiply 7935 and 18784.6.
149055801
What is -42 times 49.206?
-2066.652
-79.3 * -0.0632
5.01176
-110731 * 0.23
-25468.13
What is 10.2209781 times 0.3?
3.06629343
-9.4679*100.7
-953.41753
-0.4 * 13.99832
-5.599328
-0.89*-204319
181843.91
23.5762*-116
-2734.8392
What is -110 times -1648.889?
181377.79
Calculate 19137*3.87.
74060.19
7457 * 13735
102421895
What is the product of 19919318 and -16?
-318709088
-1484657 * -0.3
445397.1
Product of 73 and 384669.
28080837
Calculate -120258*-2.3.
276593.4
Multiply -3330950 and -2.7.
8993565
What is the product of -5 and -493979?
2469895
Product of 178879 and -5.1.
-912282.9
-12252 * 0.1303
-1596.4356
21690125 * 0.03
650703.75
Work out -7.1241 * 1254.
-8933.6214
191414*-0.0497
-9513.2758
0.0521*-879.655
-45.8300255
54808950 times -4
-219235800
What is 171.3 times 2.046?
350.4798
Calculate 13851505*1.
13851505
What is 292675040 times -2?
-585350080
Calculate 1877*-0.61493.
-1154.22361
What is -93318015 times -4?
373272060
Product of 26.323 and 39.1.
1029.2293
Work out 153 * -74.67.
-11424.51
What is the product of 698667 and -24?
-16768008
What is 5 times -42854978.8?
-214274894
What is the product of -5402.102 and 0.08?
-432.16816
Multiply 0.632 and 123.54.
78.07728
Work out 25 * -127720.
-3193000
Multiply -20.59 and 1.67473.
-34.4826907
567047552*5
2835237760
-614925 times -0.14
86089.5
What is 4 times 640329?
2561316
What is the product of 1894 and 38.872?
73623.568
-1908.87 times -3.01
5745.6987
0.4*46832.917
18733.1668
Product of 0.5 and -0.829711.
-0.4148555
What is the product of -0.02 and 65204749?
-1304094.98
What is -65.098 times 1.39?
-90.48622
-1.0487321 * -0.2
0.20974642
What is the product of -158313 and -12.1?
1915587.3
Multiply -3.5424609 and -0.1.
0.35424609
What is the product of -324164805 and 2?
-648329610
4662 * 106212
495160344
Multiply 155178 and -38.
-5896764
What is 13552 times 357.93?
4850667.36
759.267*0.4
303.7068
94*-956.8
-89939.2
Multiply -0.3 and 3170031.
-951009.3
What is the product of 513302459 and 2?
1026604918
10.17608*0.02
0.2035216
0.9 * 1742776
1568498.4
Calculate 0.01627*-18.
-0.29286
What is the product of -0.422337921 and 4?
-1.689351684
-0.411*-19894
8176.434
Work out -36625462 * -0.5.
18312731
-14600980*0.01
-146009.8
What is the product of 395452 and -52?
-20563504
-0.4 times -0.25902197
0.103608788
0.19 times -31195
-5927.05
Calculate -61022*5.
-305110
Calculate 0.243*-1787278.
-434308.554
-3283787 * -1
3283787
Product of -607 and 298.14.
-180970.98
Multiply 36 and -1086124.
-39100464
Multiply 0.14949 and -43.4.
-6.487866
10322560*-2
-20645120
-34.92 * 206107
-7197256.44
-6742 times 962.55
-6489512.1
Calculate 14.493*-651.
-9434.943
What is the product of 24.879 and -176?
-4378.704
Calculate -5.72028*-2.7.
15.444756
32 times -94151
-3012832
-0.0118831997 * 0.5
-0.00594159985
Work out 34055 * -0.0357.
-1215.7635
-111*7098
-787878
What is 0.13616 times 6548?
891.57568
-4654998 * 0.2
-930999.6
Calculate 6.222958*2.
12.445916
256.5 * 82725
21218962.5
Work out -4.108 * 22.89.
-94.03212
What is the product of -7346797 and 0.3?
-2204039.1
Multiply -0.5739 and 2774.
-1591.9986
Product of 0.1 and -429140.4.
-42914.04
464 * 3901
1810064
Multiply -4 and 2078373.
-8313492
-0.12203031*18
-2.19654558
-0.11 times -1.630332
0.17933652
Work out 4 * 402.631523.
1610.526092
491.908*-0.05
-24.5954
What is 0.16 times -41701?
-6672.16
Work out 1 * 1890.054.
1890.054
Calculate -8240681*-0.2.
1648136.2
1.3088285*-12
-15.705942
0.153*11.566
1.769598
Product of -27092316.5 and -0.3.
8127694.95
Multiply 134.8 and -98358.
-13258658.4
-35573.6*-65
2312284
What is the product of 9 and -29737163?
-267634467
What is -317676 times 34?
-10800984
32*-145788
-4665216
-11.009 * -85760
944131.84
What is -1025.489 times -2.02?
2071.48778
9200322 times -3
-27600966
0.18 times -9921325
-1785838.5
Multiply 24.70496 and 21.
518.80416
What is 104.0633 times 6?
624.3798
10.311592*3
30.934776
0.2 times -2416772.8
-483354.56
Product of -204004319 and 0.03.
-6120129.57
-11604.532 times -0.14
1624.63448
Work out -134 * -17136.
2296224
Calculate 0.2*1791516.
358303.2
What is the product of -4062 and -1.23622?
5021.52564
Product of 3053 and -5534.
-16895302
What is the product of -8.7 and -1.63077?
14.187699
80079024 times -3
-240237072
105620*3581
378225220
Product of 361 and -519.
-187359
165.7 * 205
33968.5
-5761398*0.06
-345683.88
242*626
151492
-18778 * -1.865
35020.97
-0.021469 * 136
-2.919784
What is the product of -562 and -258272?
145148864
Work out -0.7 * 3138142.
-2196699.4
-7244*-0.015925
115.3607
Calculate 757784.91*-0.5.
-378892.455
Product of 0.4 and 0.11915899.
0.047663596
47 * -1.23255
-57.92985
Multiply 25 and -1857922.9.
-46448072.5
Multiply -0.28618 and 406.
-116.18908
Product of 3051950 and 4.
12207800
7*-0.10170707
-0.71194949
Calculate 0.18*65675.5.
11821.59
-0.11565 times -84
9.7146
Work out -8.481 * -7662.
64981.422
What is -187 times -0.05707?
10.67209
Product of 3 and 2154507.
6463521
Product of -7.33 and -0.077171.
0.56566343
Work out -347 * 333475.
-115715825
-9736 * -0.61
5938.96
What is the product of -167.7851 and -0.06?
10.067106
What is the product of -0.77 and -3.811727?
2.93502979
Multiply -0.4 and 16688.569.
-6675.4276
Product of -7142 and -6712.
47937104
-0.18825468 * -105
19.7667414
Work out -3379787 * -0.7.
2365850.9
0.066*-6.26293
-0.41335338
Product of 1.434 and -0.18177.
-0.26065818
Work out 6882336 * 0.3.
2064700.8
Work out 0.01 * -22627.56.
-226.2756
What is the product of -916 and 56212?
-51490192
Calculate -16409*-1749.
28699341
Work out 3.421 * 2.6249.
8.9797829
Calculate 0.0065*-764313.
-4968.0345
0.02*3079387
61587.74
Multiply 26.9 and 394505.
10612184.5
Multiply 1.85 and -0.1247309.
-0.230752165
Work out -95.3 * 144185.
-13740830.5
What is 146.75 times -0.08508?
-12.48549
-187*-37938
7094406
Product of -1.8704 and -11.44.
21.397376
2788820*-0.11
-306770.2
What is 58761 times -701?
-41191461
Product of 6 and -131.509577.
-789.057462
What is the product of -652.75 and 26?
-16971.5
Work out -0.5 * 10922.835.
-5461.4175
45 * -737579
-33191055
-733.7 * 7410
-5436717
0.2 times 0.32084698
0.064169396
Product of 0.69 and 79449.
54819.81
Product of 61417233 and -0.1.
-6141723.3
Calculate 46051448*-3.
-138154344
What is the product of -0.0932 and -19366?
1804.9112
Product of -0.4640779 and -0.1.
0.04640779
Work out -99109 * 1.26.
-124877.34
Multiply 1040.53 and -4548.
-4732330.44
150 * -0.120531
-18.07965
What is the product of 0.3 and -7423.32?
-2226.996
Multiply 10 and 2.0929664.
20.929664
0.2 * 15.206239
3.0412478
Product of -2914561 and 4.
-11658244
-218563 * -254.1
55536858.3
Work out -0.1 * 295663597.
-29566359.7
0.141 times 8188. | {
"pile_set_name": "DM Mathematics"
} |
e -5*o = 5*i - 8 - 2, 5*o + 2*i - 22 = 0 for o.
6
Solve -3*n = 5*a - 29, -a + 5*n - 5 = 6 for a.
4
Solve -24 = 5*q + 4*v + 6, 2*q - 2*v = 6 for q.
-2
Solve -5*w = -3*b - 29, w + 3*b - 2*b - 1 = 0 for w.
4
Solve -4*o = 12, 0 = -i + 8*o - 12*o - 8 for i.
4
Solve 5*n + 27 = 2*z, 6*n = 8*n + 5*z + 5 for n.
-5
Solve -2*j + l = -16 + 25, -4*l = -12 for j.
-3
Solve 3 + 3 = 3*f + 3*u, 0 = 4*f - u - 3 for f.
1
Solve 9 = 3*s + 3*w, 5*s - 8*s - 31 = -5*w for s.
-2
Solve 4*c - 14*v - 4 = -10*v, -12 = -3*v for c.
5
Solve -84*g + 20 = -4*y - 80*g, 0 = -2*g for y.
-5
Solve 0 = a - 2*g + 5, -3*a + g - 20 = -5 for a.
-5
Solve 2*h + 4*i = 7 + 13, -16 = 2*h - 5*i for h.
2
Solve 2*m + 8 = m - 3*z, 2*m = 4*z + 24 for m.
4
Solve 0 = -5*h - i + 20, 272 = -2*h + 4*i + 258 for h.
3
Solve -3*b + 23 = 5*c, -23*b = -4*c - 18*b - 26 for c.
1
Solve 0 = -d - 2*z + 9 - 7, 3*z = -5*d + 3 for d.
0
Solve -4*y + 8 = a, 7*y + 4 = 11*y for a.
4
Solve -5*c + m - 24 = 0, -9*m - 16 = 3*c - 8*m for c.
-5
Solve -4*j + 4 = -2*o, -16*o + j = -17*o + 1 for o.
0
Solve 13 - 25 = -4*g, 4*n - 2*g = -18 for n.
-3
Solve 2*a = 2*w + 18, -60*w + 55*w + a - 25 = 0 for w.
-4
Solve -2 = 2*a + 2*t, 4*t + 19 = a + 5 for a.
2
Solve -2*p - 2 + 8 = 4*r, 4*p = 2*r - 18 for p.
-3
Solve h = 35*t - 36*t + 5, -4*h + t + 5 = 0 for h.
2
Solve -4*g + 2 = 3*d - 1, 5*d = 3*g + 34 for d.
5
Solve 4*d - 16 = 0, -2*d + 9 = -x + d for x.
3
Solve 3*i + 3 = -9*o + 7*o, -10*i + 7 = o for o.
-3
Solve 0 = 2*j + 4*a + 10, 4*a = 2*j + 2*a - 2 for j.
-1
Solve 3*b = 5*z + 4, -4*z - 2 = -6*b + 3*b for z.
-2
Solve c + 4*c - 10 = 4*b, 4 = 2*b + 2*c for b.
0
Solve 3*a + 1 = 2*d + 3, 5 = -5*d for a.
0
Solve k + 4 = 0, 504*i - 5 = 501*i + 5*k for i.
-5
Solve 3*z - 3*g + 3 = z, -5*g = 4*z - 27 for z.
3
Solve 4*a + 65*p = 69*p + 20, -2*a - 3*p = 15 for a.
0
Solve 2*w + 1 = 7, -4*l + 2*w = -14 for l.
5
Solve -10 = a + 5*z + 15, -2*z - 18 = 2*a for a.
-5
Solve -4*n - 4*y = -32, -4*n + 3*y - 7 = -4 for n.
3
Solve -3*g + 3 = r, -2*g - 5*r + 62 = 73 for g.
2
Solve -3*b - 15 = 0, 20*b - 16*b = -2*z - 28 for z.
-4
Solve -3*y - 5*i + 10 = 0, 31*y - 26*y + 4 = 2*i for y.
0
Solve -4*n = 5*h - 28, -n - 3*n - 12 = -5*h for h.
4
Solve -3*x = -3*o + 15, -432*o + 4*x = -433*o + 5 for o.
5
Solve -2*y + z + 2 = 0, -5*y = -3*y - 5*z - 2 for y.
1
Solve -3*c = -2*p - 16, 6*c + p = 5*c + 2 for c.
4
Solve -5*s - u - 11 = 0, -4*s - 210 = 5*u - 218 for s.
-3
Solve 0 = -5*u - 20*g + 25*g + 20, 0 = -2*g - 8 for u.
0
Solve 10 = 5*a - 2*j, -6*a + 7*a - 2*j = 2 for a.
2
Solve -u + 11*r - 16*r = 20, 3*u - 3*r = 12 for u.
0
Solve -5*y - w + 6 = -4*w, -2*y + 5*w = -29 for y.
-3
Solve -41*j + 3*k = -40*j - 5, 0 = k + 2 for j.
-1
Solve -15 = -5*k, 46*l + 2*k = 47*l + 2 for l.
4
Solve -3*p - w + 3 = 0, 73*p + 4*w = 72*p + 12 for p.
0
Solve -5*z + 5*w = -15, 2*z - 1 = w + 1 for z.
-1
Solve -6 = r + 3*k, 3*r + 1 = -5*k - 9 for r.
0
Solve 5*l = -5*c + 10, -4*c = 2*l - 1 + 3 for c.
-3
Solve 3*k = -4*t + 1 - 30, 0 = -5*k + 3*t for k.
-3
Solve 3*v + 5 = -2*t, 5*t - 4*t - 2*v = 15 for t.
5
Solve a + m + 26 = 5*m, 0 = a - 5*m + 31 for a.
-6
Solve -16 = 2*a + 2*z, -4 = -2*a + 5*a - z for a.
-3
Solve -2*v = d, -3*v + 2*d - 3*d = 2 for v.
-2
Solve 16 = -2*o + 5*f - 9*f, -4*f - 4 = -o for o.
-4
Solve 6*b - 3*b + 19 = 5*c, 4*b = 4*c - 20 for c.
2
Solve k = -3, 0 = u + 3*k + 7 + 5 for u.
-3
Solve 0 = -4*d + 5*i - 13, 2*d - 5 = -3*i - 6 for d.
-2
Solve -5*b + 36 = 4*u, -5*b - 2*u = -34 + 6 for b.
4
Solve -4*w + 4*b + 8 = 0, -13*w + 10*w + 2*b + 9 = 0 for w.
5
Solve -11 = -3*s + 4*d + 1, 4*d = 4*s - 16 for s.
4
Solve -3*p - 30*s + 25*s = 14, 3 = -2*p + 3*s for p.
-3
Solve -4*q + 28 = -8*v + 4*v, 0 = -3*v - 2*q - 11 for v.
-5
Solve 4*b - 7 = 13, 23 = -g + 4*b for g.
-3
Solve -23*v - 3*m = -18*v + 12, 3*v + 16 = -4*m for v.
0
Solve 5*a + 10 = -u, -48*u = -44*u - 3*a - 6 for u.
0
Solve -2*f - 7 = p, 0 = -4*f + 540*p - 536*p + 4 for f.
-2
Solve 0 = -5*h - k + 21, -3*h + 3*k + k = -8 for h.
4
Solve 4*m + 0*j - 4 = -3*j, 18 = m + 5*j for m.
-2
Solve -12*d = -11*d + 4*v - 2, -2 = 2*v for d.
6
Solve 3*l - 56*w = -55*w + 3, -17 = -l - 5*w for l.
2
Solve -6*s + 2*s = 4*p - 16, -2*p + 6 = 0 for s.
1
Solve 0 = 4*w - 20, -3*q - 20 = 2*q - 4*w for q.
0
Solve -4*m - 28 = 4*f, 3*f = 9*m - 6*m + 3 for f.
-3
Solve 2*t - 9 = 3*t + 2*w, -17 = 5*t + 3*w for t.
-1
Solve 0 = -4*r - 5*v + 10*v - 29, -v + 2 = 3*r for r.
-1
Solve 0 = -3*x - 0*x + 4*m + 5, 3*x + 25 = -2*m for x.
-5
Solve 4*n = 2*w + 9 - 21, 0 = 4*w - 3*n - 19 for w.
4
Solve -l + 4*l = -4*g - 25, 3*l - 4*g = 7 for l.
-3
Solve 0 = -18*w + 20*w + 5*q - 35, -w - 5*q + 30 = 0 for w.
5
Solve 3*s - 6 = s + 4*w, -2*s + 3*w = -3 for s.
-3
Solve -3*a = -2*o - 23, -27 = -2*a + o - 13 for a.
5
Solve 4*c - m = -4, 2*c - 14*m = -12*m + 4 for c.
-2
Solve -m - 4*i - 11 = 0, 5*m - i = -4*i - 21 for m.
-3
Solve 3*j - 5*a = -28, -j + 5*a - 2*a - 16 = 0 for j.
-1
Solve -3*l - 5*b - 1 - 1 = 0, 0 = -4*l + 2*b - 20 for l.
-4
Solve -u - 8 - 6 = -5*p, -5*u - 2*p + 11 = 0 for u.
1
Solve -5*k - 8*t + 32 = -12*t, 0 = -4*k - 2*t + 10 for k.
4
Solve -12*h - 4 = -11*h + 4*a, -4*a = 0 for h.
-4
Solve 0 = -a - 2*g - 16, 3*g - 5 + 28 = -a for a.
-2
Solve -3*p + 22 = -4*k, 106*k = -5*p + 111*k + 30 for p.
2
Solve 3*u = 5*s + 12, -u + 5 = 15*s - 17*s for u.
-1
Solve -5 + 16 = -3*g + 2*i, 0 = g - 5*i + 8 for g.
-3
Solve 0 = 7*k - 2*k - 5*p - 25, -k - p = 1 for k.
2
Solve 11*q - 55 = 2*z + 6*q, -17 = -2*z - 3*q for z.
-5
Solve 0 = -h + 3*i + 7 - 0, -h - 5*i - 25 = 0 for h.
-5
Solve 167*g - 162*g = -m - 30, -35 = 5*m + 2*g for m.
-5
Solve 5 = -m + 27*h - 29*h, 4*m + 4*h + 20 = 0 for m.
-5
Solve -2*s - 3*h + 10 = 0, 7 = -5*s + 2*s + h for s.
-1
Solve 4*d = i + 26 - 5, -5*d + 3*i + 35 = 0 for d.
4
Solve 2*b - 165*j - 14 = -160*j, -b + j = -1 for b.
-3
Solve 5*p - 7 = -2*r, 2*p - 5*r = 27 - 1 for p.
3
Solve -2*u - 10 = -z, -u - 6*z = -2*z + 5 for u.
-5
Solve 0 = 4*g + k + 192 - 189, -2*k = -2*g + 6 for g.
0
Solve 5*t = -5*q, -2*t - 20*q = -19*q + 2 for t.
-2
Solve -4*g + 12 = 0, 20*g - 8 = 5*j + 19*g for j.
-1
Solve 3*z + 4*q + 594 - 599 = 0, 0 = z - 4*q - 7 for z.
3
Solve -3*z + 12 = 2*c, 5*c = 5*z + 118 - 63 for z.
-2
Solve -3*y + 3 = 3*f, -f = -2*f + 5*y + 25 for f.
5
Solve 3*a = 3*b, 4*a - b - 2*b + 2 = 0 for a.
-2
Solve 5*r + 5 = 3*f, 2*f - 26*r = -23*r + 3 for f.
0
Solve 16*h = 12*h + 5*d - 27, 4*h + 2*d = -6 for h.
-3
Solve -5*s - 17 = -4*c, -14 = 5*s - c - 2*c for s.
-1
Solve -2*d + 13 = -6*d - k, 0 = 5*k - 15 for d.
-4
Solve 24*q = -u + 20*q - 1, 0 = -2*u + q - 2 for u.
-1
Solve 5*b - v = b + 18, -15 = -5*b + 5*v for b.
5
Solve -3*s - 18 = -3*m, -21 = 2*m - 3*m + 4*s for m.
1
Solve -5*b + y - 24 = 0, -52*b + 56*b + 28 = 3*y for b.
-4
Solve 2*k - 434*v = -430*v - 8, -2*k - 4*v = 0 for k.
-2
Solve 3*o - 14 = -d, -3*o = -d - 2*o - 2 for d.
2
Solve -3*v = -5*y + 5 - 0, 3*y = 4*v - 8 for v.
5
Solve -5*a - 15 = -2*d, -17*a + 5*d - 12 = -13*a for a.
-3
Solve 3 = -3*s, 3*s = 82*o - 79*o - 18 for o.
5
Solve -5*k + 10 = 0, 3*k + 16 = 4*h + 6 for h.
4
Solve -4*u = l - 13, 2*l + 2*u - 63 = -55 for l.
1
Solve 16 = 5*c - 2*d, 0 = 100*c - 98*c - 3*d - 2 for c.
4
Solve 12 - 1 = -4*w + l, -4*w + 3*l = 1 for w.
-4
Solve -4*h = -4*d - 0*h + 24, -5*d + 2*h + 24 = 0 for d.
4
Solve w = 5*i - 12 - 11, 5*w = -4*i + 30 for i.
5
Solve 16*h + 2*c = 19*h - 14, 3*h - 4*c = 16 for h.
4
Solve 5*m = 4*v + 1, 18*v - 23*v + 7 = 2*m for m.
1
Solve g + 14 = 4*m - 4, -5*g - 48 = m for g.
-10
Solve 3*l - d - 5 = 2, 0 = -l + 2*d + 4 for l.
2
Solve 4*l - 3*c = 1, 4*l + c - 16 = 5 for l.
4
Solve 4*k + 5*h = 30, k - 13 = 4*h - 16 for k.
5
Solve 4*k = 5*v + 5, -3*v - 4*k = 2*v + 5 for v.
-1
Solve -2*b + 3*v = 22, -3*v - 8 = -5*b - 45 for b.
-5
Solve -4*f - 2*t = -3*f - 8, 4*f + 2*t = 20 for f.
4
Solve 3*r = 4*j + 6, -4*r - 14 = -j + 3*j for r.
-2
Solve t - 5*g = 7, 4 = 3*t - 3*g - 5 for t.
2
Solve 0*h + 3 = h - o, 4*h + 2*o - 12 = 0 for h.
3
Solve -3*a + m + 0*m - 8 = 0, 3*m - 15 = 0 for a.
-1
Solve z + 3 = -2*u - 2*z, -3*z + 6 = 5*u for u.
3
Solve -11*j - o = -8*j + 16, 2*j = -4*o - 24 for j.
-4
Solve -3*d = -5*g - 12 + 29, -d - g - 3 = 0 for d.
-4
Solve -13 = h - 4*c, -2*c = -10*h + 12*h - 4 for h.
-1
Solve 30 = -3*w - 5*q, -24*w + 2*q + 21 = -27*w for w.
-5
Solve -2*v + 3*v + 9 = b, -b - 4*v = 11 for b.
5
Solve | {
"pile_set_name": "DM Mathematics"
} |
05. Is t a prime number?
True
Suppose 15*s - 10*s = 25, -3*u + 5714 = s. Is u a prime number?
False
Let h = -11 + 15. Suppose -h*i - 59 = -n - 2*n, 0 = n + i - 8. Suppose -2*q = -0*q + 4*a - 26, q - n = -4*a. Is q prime?
True
Let b = 1421 + 2520. Is b prime?
False
Suppose 735 = x - 613. Let r = x + -539. Is r prime?
True
Let g(n) = 18*n**2 + 36*n + 29. Is g(22) prime?
True
Let k be -2103 - (6 + -3)*(-1)/(-3). Let r = k + 3951. Is r composite?
False
Suppose -5*i - 3*q = -4916, i = q + 318 + 670. Is i a composite number?
True
Let m(q) = -138*q**3 - 20*q**2 + 6*q - 5. Let d(g) = -46*g**3 - 7*g**2 + 2*g - 2. Let b(l) = 8*d(l) - 3*m(l). Is b(2) composite?
False
Let w = 1596 + -523. Is w composite?
True
Let j(f) = -37*f - 29. Let v be j(-14). Suppose -5*u = -3*x - 1841, 0 = -3*u + 3*x + 618 + v. Is u prime?
True
Is 91471/5 + (-116)/(-145) - -6 composite?
False
Let u(a) = -a + 17. Let h be u(14). Suppose 2*g - h = -g. Let m = g - -58. Is m composite?
False
Is ((-558)/12)/((132/(-712))/11) a composite number?
True
Let f(g) = -4*g**3 - 4*g**2 - 5*g - 25. Is f(-4) prime?
False
Let x(d) = -11*d**2 - 3*d + 5. Let a be x(5). Let f = 196 - a. Is f prime?
False
Suppose -8*f + 4*f = -2*r - 88684, 66513 = 3*f + 5*r. Is f composite?
False
Let z(w) = -w**2 - 2*w + 5. Let f be z(0). Suppose -4*u = 2*q - 4454, 5*u + 0*q = f*q + 5590. Is u a prime number?
False
Let r be -4 + 0 + -12 + -1420. Let f = -855 - r. Is f prime?
False
Let u(i) = 174*i + 60. Let q be u(-14). Let g = 5195 + q. Is g a composite number?
False
Suppose 0 = 21*w - 145352 - 249679. Is w composite?
True
Let p(t) be the second derivative of -19*t**8/1120 - t**7/1260 - t**6/720 - t**4/3 - 4*t. Let i(r) be the third derivative of p(r). Is i(-1) a prime number?
True
Let p(k) = -19*k - 29. Is p(-30) composite?
False
Suppose -5*v = 136 - 1. Let m = 29 + v. Suppose -5*g = m*z - z - 73, -z - 4*g + 75 = 0. Is z a prime number?
True
Suppose -3*o + 2*l + 445 = -4571, 5*l + 3344 = 2*o. Suppose -4*x + 3*b + o = b, -4*x + 5*b + 1666 = 0. Is x a composite number?
False
Suppose 0 = -5*w - 263 + 88. Let r = -64 + 142. Let m = w + r. Is m a composite number?
False
Let v be (-30)/25*(-5)/2. Let b(d) = 16*d + 10. Is b(v) a prime number?
False
Let a(z) = z**3 - 10*z**2 - 9*z + 11. Let n(r) = r**3 + 2. Let o be n(0). Let l be (1/(-3))/(o/(-66)). Is a(l) composite?
True
Suppose 0 = 4*f - 5*n - 234605, -f + 52*n = 51*n - 58652. Is f a prime number?
False
Let t(z) = z**2 + 4*z + 5. Let c be t(-4). Suppose c*l - 3*f - 4111 = 0, 0 = -2*l + 3*f + 1768 - 120. Is l prime?
True
Let p = -3 - -1. Is ((-4)/6*1041)/p composite?
False
Suppose 4*p = 4 - 0. Let l be ((-2500)/2)/(0 - p). Suppose -o = -d - 292 + 50, -l = -5*o - 3*d. Is o a prime number?
False
Let s = 47 - 51. Let d(g) = -g**3 + 3*g**2 - 3*g - 2. Is d(s) prime?
False
Is 333641/6 + 43/258 composite?
True
Let v = -47 - -22. Let q be (-1 - 0)*(v + 2). Suppose -2*d - 9 = -q. Is d prime?
True
Let v = 35 - 32. Suppose -3*u - 153 = -v*g, 3*u + 3 = 4*u. Let w = -17 + g. Is w a composite number?
False
Let i(r) = -1115*r + 922. Is i(-5) composite?
True
Let p(m) = -m**3 + 4. Let h be p(-3). Let x = 27 - h. Let u(g) = 18*g**2 + 4*g - 3. Is u(x) a composite number?
False
Let p(y) = 1949*y + 548. Is p(9) composite?
False
Let a(f) be the third derivative of f**4/24 - f**3 + 2*f**2. Let k be a(8). Suppose k*g - 8 = 18. Is g composite?
False
Suppose -2*w + 4743 + 10963 = 0. Is w composite?
False
Let d(m) = 10*m. Let w be d(1). Let y = w + -10. Suppose q + 0*f + f - 69 = y, -5*q = -3*f - 385. Is q a prime number?
False
Let d(u) = u**3 - 3*u**2 - 8*u - 1. Let o = 14 + -14. Suppose -7 = -g - o*g. Is d(g) prime?
True
Suppose 2*b - 11456 = -3*z - 768, 0 = 4*b + 5*z - 21378. Is b prime?
True
Suppose -a + 29 = -2*a. Let n = a - -28. Is (-62)/(n/(14/4)) a prime number?
False
Suppose 0 = f - 2*f. Suppose 0 = -f*b - b - 8. Is -74*(20/b - -2) composite?
False
Suppose -2*c + 15662 = 3*c - v, -6281 = -2*c - 5*v. Is c a composite number?
True
Let a(j) = -23*j**2. Let d be a(1). Let r = -18 - d. Suppose -645 = -5*x - r*l, 419 = 4*x - x - 5*l. Is x composite?
True
Let y(v) = -v**2 + 2*v + 3. Let g be y(3). Suppose 6*f - f - 565 = g. Is f composite?
False
Suppose -4*b + d + 3916 = 0, 11*b = 13*b + 2*d - 1958. Is b a composite number?
True
Suppose 41117 + 19342 = 7*q. Is q a prime number?
False
Let q be (3 + -4 - 4204/6)*3. Let z = -1018 - q. Is z composite?
False
Suppose 0 = -r + 4*k + 1260, -2*r + k = 3*k - 2480. Suppose 0 = 5*j - j - r. Is j a prime number?
True
Let c = -1433 - -2472. Is c a prime number?
True
Is (-4626570)/(-135) + ((-51)/27 - -2) composite?
True
Suppose 2 = 3*f - 2*f. Let q be 6*f/(-4) - -1. Is -2*q/(-4)*-67 a composite number?
False
Let f = -195 + 341. Is f a prime number?
False
Is -7*7/(-147) - 17804/(-3) composite?
True
Let w = -36 + 28. Is 1280 + 2/(w/(-12)) prime?
True
Let s(v) = 91*v + 170. Is s(31) a prime number?
False
Suppose 4*r - 3*p + 12 = 0, 4*r = -p - p + 8. Suppose r = 2*q + q - 9. Suppose -l + 112 = -q*v + 4*v, -2*v - 2 = 0. Is l prime?
True
Let n(g) be the second derivative of -1/2*g**2 + 17/12*g**4 + 3*g - 1/6*g**3 + 0. Is n(-2) composite?
True
Let c(t) = 179*t**2 + 2*t - 1. Let a be 2/(-9)*(3 - 12). Is c(a) composite?
False
Suppose -48282 = -4*l + 2*v, -3*l + 3*v + 30023 = -6187. Is l prime?
True
Let f be 8/3*(-1 + -2). Let w(g) = -3*g**3 + 12*g**2 + 6*g - 1. Let n be w(f). Suppose -6*r = -r - n. Is r prime?
False
Let s(y) = -y + 8 + 210 + 116 + 153. Let a be 0/(-1)*2/(-4). Is s(a) a prime number?
True
Suppose -h = 4*q - 6023, q - 1522 = -0*h + 3*h. Is q composite?
True
Suppose -12*q + 9*q = 0. Let n(h) = -2*h**3 - h**2 + h + 4987. Is n(q) a composite number?
False
Let j(p) = -p**3 - 16*p**2 + p + 21. Let t be j(-16). Suppose -69 = t*a - 3004. Is a composite?
False
Suppose -6*f + 379 + 20243 = 0. Is f prime?
False
Suppose -295 = 5*t + 20. Let z = 41 + t. Is (4 + z/6)*267 a prime number?
True
Suppose -u + 565 = -5*q, -4*q + 2*q = -5*u + 2871. Is (1 + 3)*u/20 prime?
False
Let y = 56151 - 37166. Is y a prime number?
False
Let n = -862 - -475. Let u = 764 + n. Is u composite?
True
Let h(w) be the second derivative of 11*w**3/6 - w**2/2 - 8*w. Is h(12) a composite number?
False
Suppose 32*t = -11*t + 83033. Is t a prime number?
True
Let u = 14 - 6. Suppose 0 = 3*w + w - 4, 3*h - w = u. Let a = h + 3. Is a a composite number?
True
Let q be 1/2*8 - (1 + -3). Suppose q*r - 12*r = -4722. Is r composite?
False
Let c(m) = -m**3 - 7*m**2 + 3*m - 3. Let a(y) = y**3 + 8*y**2 - 3*y + 3. Let p(h) = 7*a(h) + 6*c(h). Is p(-13) a composite number?
False
Let b = -29 - -22. Is 149 + 2 + b + 5 a prime number?
True
Let i = 2263 - 845. Suppose z - 1582 - 307 = -4*g, 3*g - i = -2*z. Suppose 36 = 4*t - g. Is t composite?
False
Suppose 3*k + 6 = 0, -2*o = -o + 4*k + 8. Suppose 9*l - 1514 - 1465 = o. Is l a composite number?
False
Suppose -26*d + 33*d - 17241 = 0. Is d a prime number?
False
Let i(l) = -l**2 - 19*l - 55. Let t be i(-22). Let d = -66 - t. Is d composite?
True
Suppose 3*n - 12317 = -4*v, 5*v = 3*n - 273 - 11999. Is n prime?
True
Let d(a) = 893*a**2 + 3*a + 5. Suppose 0 = 29*r - 26*r + 6. Is d(r) a composite number?
False
Suppose 0 = 2*p - 0*p - 14. Suppose -p*o + 13*o - 1266 = 0. Is o composite?
False
Suppose 100 = 8*c + 28. Let n be (3 - 813/c)*3. Let s = n + 669. Is s composite?
True
Suppose -4*y = -3*i + 74, 2*i + 140 = 6*i + 5*y. Let d be 42/i - (-3)/5. Suppose -d*b = -2*n + 52, 2*b + 12 - 52 = -2*n. Is n a prime number?
True
Let m = -92 - -178. Suppose r - 124 = 4*v - r, -62 = 2*v + 3*r. Let d = m + v. Is d a composite number?
True
Suppose 9 - 6 = c. Suppose 3*d - 1842 = -c*d. Is d a prime number?
True
Let f = -29 - -56. Suppose 0 = j + 2*y - 158, f = -2*j + 4*y + 335. Let d = j + 151. Is d a composite number?
False
Let r(j) = j**2 - 3*j + 4. Let i be r(3). Suppose -2*q - 800 = -c - c, i*q + 1998 = 5*c. Is c a composite number?
True
Let i = 50 - 68. Is (-4)/i - 323713/(-117) a prime number?
True
Let c(g) = 7*g**2 + 32*g - 2. Is c(9) prime?
True
Suppose 5*l + 7*l = 4*l. Suppose 6*u - 7*u + 763 = l. Is u a prime number?
False
Let x = 5359 - 3236. Is x a composite number?
True
Let x(l) be the first derivative of -5/2*l**2 - 5 - 1/2*l**4 - 8/3*l**3 + 4*l. Is x(-5) a composi | {
"pile_set_name": "DM Mathematics"
} |
e z(n). Let i be ((-4)/14)/(b/14). Is i > 2/13?
True
Let l(g) = g**2 - 10*g + 10. Let d be l(6). Which is bigger: d or -13?
-13
Let r = 28 - 30. Is -16 less than or equal to r?
True
Suppose 0 = 3*d + d. Let h(u) = -u + 1. Let q be h(d). Are q and -3/10 equal?
False
Let k = -283 - -8195/29. Which is smaller: k or 1?
k
Let w be 2/((2 + 0)/(-1)). Let x(h) = -h**3 - 2*h**2 + 2*h + 2. Let s be x(-2). Let d be s - -1 - (-2)/5. Do w and d have the same value?
False
Let y = -8 + 24. Suppose g + g = -y. Do g and -8 have the same value?
True
Let u be 3 + -2 + (-136)/138. Are 0 and u equal?
False
Let k = -2.5 + -4.5. Is 0 less than k?
False
Suppose -4*l = -5*m - 367, 2*l - m + 3*m - 170 = 0. Let v be 4/(-18) - l/(-72). Is 1/3 less than or equal to v?
True
Let m = -29 + 29. Which is smaller: 3/4 or m?
m
Let i = -1550/7 - -221. Are 0 and i equal?
False
Suppose -14 = -5*j - 0*j + 4*f, 3*f = -3*j + 3. Let h be ((-50)/27 + j)*3. Is h <= 0?
False
Suppose 2*h = 162 - 162. Is h equal to -5/14?
False
Let x be (382/(-39))/(7/(-15)). Let h = x - 258/13. Are 0 and h nonequal?
True
Let c be (0/1)/(-2 + 1). Let a be 1*(-2 + (2 - -1)). Let t be c*1*a/(-2). Which is bigger: t or 3/4?
3/4
Let n = 18 - 18. Which is greater: -1/2 or n?
n
Let k = 24 - 24. Suppose z - 3*s + 15 = -2, k = 2*z + 2*s + 2. Which is bigger: z or -7?
z
Suppose l = -3*z + 19, -29 = -5*z + 4*l + 31. Suppose -2*r = 4*n, -n = -5*r - z - 36. Is -8 at most r?
True
Let u = 0.03 + -0.33. Let g = 1.3 + u. Let k = -0.9 + g. Which is bigger: k or 3?
3
Suppose -3*r + r = -8. Let u(a) = a**3 - 5*a**2 + 6*a - 6. Let t be u(r). Suppose -2*m = -3*l - 12, 5*m + 2*l + 3*l = 5. Which is smaller: t or m?
t
Let s = -0.6 + 0.5. Let y = 7 + -1. Let c = 6 - y. Which is smaller: s or c?
s
Suppose -4*g + 12 = -7*g. Let z be (g/(-20))/(1/5). Which is smaller: 2/5 or z?
2/5
Let a be -7 - (0 - (-19)/(-3)). Let j = -1 - -1. Which is smaller: j or a?
a
Let v(q) = 0*q + 2*q - q - 2. Let z be v(4). Let u be 1*(z + 24/(-10)). Is u at most -0.1?
True
Let v be (2/(-14))/((-5)/(-55)). Let i = v - -1/7. Are i and -2 equal?
False
Let g be 4 - 4/(-222)*-219. Which is bigger: -1 or g?
g
Let x be (-2)/(-3) - (-40)/(-150). Which is bigger: x or -8?
x
Let f = 1 + -11. Let r be 2/(-6) - f/15. Which is smaller: r or -1?
-1
Let y(h) = -1 - h**3 - 3*h**2 - 4*h + 8*h + 2*h**2. Let f be y(-3). Suppose f*c = -0*c + 10. Is 3/2 >= c?
False
Let d(j) be the first derivative of -j**2 - 5*j + 2. Let k be d(-4). Do k and 5 have the same value?
False
Let z = 2 - 0. Suppose 4*c + 10 = z. Suppose -4*d + d - 4*y - 6 = 0, -2*y = 0. Is c smaller than d?
False
Let b = 1 - 1/2. Is b at least 0?
True
Let v(c) = 2*c**3 - 4*c**2 + 2*c. Let z be v(2). Suppose -z*n = n. Which is greater: -1/3 or n?
n
Let x = 0.8 - -0.2. Let f = -6.2 + 2.2. Is x bigger than f?
True
Let x = -308 - -1519/5. Is x not equal to -5?
True
Let i = -8 + 6. Which is smaller: i or -7/4?
i
Let y = -57 - -2. Is -56 equal to y?
False
Let a = -2.72 + 2.6. Let f = -0.28 + a. Is f >= -0.3?
False
Let o = 12 - 18. Let a be 0 + 0*2/o. Which is smaller: -2/45 or a?
-2/45
Let q(z) = z**3 - 10*z**2 + 9*z - 4. Let b be q(9). Is -19/5 at most b?
False
Let m be (-3 - (3 + -5))*1. Is m > 2/91?
False
Suppose 0 = -x - 4*x. Suppose 2*d - d = x. Suppose -8*y + 41 = 33. Is d at most y?
True
Let a be (2/(-6))/(2/(-12)). Suppose 0 = -a*n + 4*n + 6. Let v be (-2 - -2)/(n - -1). Is v at least -1/4?
True
Let o be -1 + (10 - (0 + 3)). Which is bigger: o or 5?
o
Let h = -13880/3 - -4771. Let d be (11/(-3))/(2/78). Let x = d + h. Which is bigger: x or 1?
x
Let j = -8 - -2. Let f be (j/(-3) - 5) + -2. Let u be f/(-10) + 3/(-2). Which is smaller: -2 or u?
-2
Let v = -97 - -871/9. Let q = -7.9 - -0.9. Is q bigger than v?
False
Suppose p = 2*t - 6, 0 = -5*p - 0*p + 3*t - 9. Let n be -2 - p - (-18)/8. Let m = -0.12 + -0.88. Are n and m equal?
False
Suppose 37*r = 11*r - 442. Are -18 and r nonequal?
True
Let a = 23 - 45. Let h = a + 21. Is h at least as big as 0?
False
Let l = 28 - 17. Is l <= 2/5?
False
Suppose o + 37 = 5*z, z + 0*z - 5*o - 17 = 0. Let m = z + 1. Is 9 >= m?
True
Suppose -5*w = -10*w + 90. Let v = w - 12. Suppose -m - m = v. Is -1 at least m?
True
Let b = -3 - -6. Suppose 7*j - 20 = 3*j. Suppose j*s = 2*h + 23, -s + 5 = 3*h - b. Which is smaller: h or -0.1?
-0.1
Let a = -0.06 - -0.06. Let k = a - -0.1. Is k not equal to -1?
True
Let d(c) = 2 - 9 + c + 1. Suppose -6*n + 2*n - 3*h = -20, -n + 5*h + 5 = 0. Let w be d(n). Which is smaller: -4 or w?
-4
Suppose -m - 15 = 4*m. Which is smaller: m or -2?
m
Let i = -87.7 - -78. Let j = i + 1.7. Do j and 0 have different values?
True
Let x(u) = -u**3 - 5*u**2 + 4*u - 10. Let j be x(-6). Is j less than -2/7?
False
Let q be 3 + -3 - (-2)/7. Let l be (-1)/(-2) + (-20)/(-40). Is l < q?
False
Let f be (1 - -3)/(4/6). Let t = f - 6. Is t not equal to 1/2?
True
Let m = -65 + 63. Which is smaller: 16 or m?
m
Let m = 68 - 31. Which is greater: 1/3 or m?
m
Let w(i) = i**2 + 4*i - 6. Suppose -10 = j + 2*j + 5*r, 15 = -2*j + 5*r. Let z be w(j). Is z > -1/5?
False
Let p be -1 - ((-1)/2 - 0). Let f(s) = s**3 - 10*s**2 - s + 8. Let d be f(10). Is d less than p?
True
Suppose 5*i = -3 + 43. Suppose 0*h - i = -4*h. Let u(f) = -f**3 - 15*f**2 + 1. Let a be u(-15). Is a less than or equal to h?
True
Suppose 5*m - c = 3*c + 20, 0 = 2*m - 5*c - 25. Suppose m*r - 3*r = -12. Is 4 > r?
False
Let g(t) = -t**2 + 6*t + 16. Let a be g(8). Is 1/9 greater than a?
True
Suppose 48 = -19*c + 15*c. Let h = -3 - c. Which is bigger: h or 10?
10
Let j = -0.2 + 0.23. Let x = 0.13 - j. Suppose 4*d + 3*m = -0*m - 27, 2*m + 16 = -2*d. Which is smaller: d or x?
d
Let u be 6/(-27) - 16/9. Let g be -48*u/46 + -2. Is 0 greater than g?
False
Let i = 86 - 600/7. Which is bigger: i or 1?
1
Let n = -68 + 67. Is -2/17 at least n?
True
Let m = -152 - -150. Which is smaller: -3/8 or m?
m
Suppose 0 = -4*f + 5*x - 4*x + 25, -3*f - x = -10. Are 25/7 and f nonequal?
True
Let o = -14.92 + 14. Let b = -0.08 + o. Let k be (2/(-4))/((-1)/6). Which is smaller: k or b?
b
Let w = 13 + -5. Suppose w = 5*i - 12. Suppose -5*k = -3*r - 15, 0 = i*r - k + 6*k - 15. Which is greater: r or 1/3?
1/3
Let l = 41 - 89. Let i be 6/14 - l/(-14). Is -4 bigger than i?
False
Let h be (-3)/(-4)*(0 + 4). Which is smaller: 13/3 or h?
h
Let z be -6 + 11 - (4 - 0). Which is smaller: z or -2/47?
-2/47
Suppose -7*a + 8 = 351. Is -49 != a?
False
Suppose -540 = -21*g + 12*g. Is g < 59?
False
Let a(g) = -g**2 + 5*g + 2. Let o be a(6). Let t(q) = q + 3. Let m be t(o). Is m < -1/4?
True
Let d(j) = -2*j + 1. Let y be d(-1). Suppose -5*s - h + y = h, 3*h - 17 = 5*s. Which is bigger: s or -7?
s
Let p(j) = -j**2 - 10*j - 10. Let m be p(-7). Let a(d) = d - 11. Let n be a(m). Let v be 1*5/((-30)/(-4)). Which is bigger: v or n?
v
Suppose 5 = 3*w - 10. Which is bigger: 2 or w?
w
Suppose -6 = -3*x - 0. Suppose 2*u - x = -0*u. Which is smaller: u or 2/63?
2/63
Let t(m) be the third derivative of -m**5/60 - 5*m**4/24 + 2*m**3/3 - 2*m**2. Let x be t(-6). Is -1 less than or equal to x?
False
Let y be 3*(2 + -1) - 4. Let r be 4/(0/y + -2). Do -2 and r have the same value?
True
Let w(z) = -2*z**2 + 49*z + 28. Let q be w(25). Is q less than or equal to 2?
False
Let z be (-6)/(-2) + (2 - 1). Suppose 0 = -5*g - 1 + 21. Suppose g = w + 5*c - 11, w - z*c + 3 = 0. Is 5 at least w?
True
Let t be (-6)/(-9) + 15/(-9). Do t and 3/14 have the same value?
False
Let d = 538 - 4852/9. Which is bigger: d or 0?
0
Let u(z) = z + 12. Let x be u(-10). Let r be (-45)/(-30) + (-3)/x. Which is smaller: r or -3/7?
-3/7
Let b = 0.2 + 1.8. Let y = 139 + -137. Is y > b?
False
Let o = -22 + 22.14. Let c = 1.86 + o. Which is greater: c or 1/3?
c
Let h(q) = 3*q - 3. Let o be h(0). Which is smaller: o or -15/4?
-15/4
Let q = 0.02 + -2.02. Which is greater: 2 or q?
2
Let w(q) = q - 3. Let n(d) = -2*d + 7. Let b(a) = 3*n(a) + 7*w(a). Let x be b(0). Which is bigger: x or 1/10?
1/10
Let s = 7 + -11. Let r = s + 2. Is -3 > r?
False
Let x = -30 - -61/2. Which is smaller: x or -4/7?
-4/7
Let g = -4 + -5. Let p = g + 9. Which is greater: p or -3?
p
Let a be ((-3)/9)/(5/(-3)). Let p(v) = v - 5. Let z be p(8). Suppose r = -z*r - 4. Is a greater than r?
True
Let u(w) = w + 4. Let p be u(-8). Let z be (p/10)/(2/(-30 | {
"pile_set_name": "DM Mathematics"
} |
z*r(w) - u(w).
w**2 - w
Let y(t) = -t**3 - 2*t**2 - 9. Let s = -1223 - -1225. Let m be (10/(-6))/(1/(-3)). Let i(j) = j**2 + 4. What is m*i(x) + s*y(x)?
-2*x**3 + x**2 + 2
Let r(m) = -m. Let s(a) = a. Give -13*r(d) - 6*s(d).
7*d
Let w(f) = f + 7. Let k be ((4 - 2) + -4)*2. Let y be k/(-6) + 7/3. Let a(n) = n + 4. Determine y*w(x) - 5*a(x).
-2*x + 1
Let z(o) = -4*o + 3. Let a(x) be the second derivative of 5*x**3/6 - 3*x**2/2 - 6*x. What is -2*a(t) - 3*z(t)?
2*t - 3
Let c(u) = 7*u**3 - 7*u**2 - 6*u + 6. Suppose -30 = 3*i - 8*i. Let y(l) = -l**2 + 2*l - l + 1 + l - 3*l + l**3. Give i*y(b) - c(b).
-b**3 + b**2
Let j(r) be the second derivative of 0 + 1/6*r**4 + 1/2*r**2 - 3*r + 0*r**3. Let w(b) = b**2 + 1. Give 3*j(o) - 4*w(o).
2*o**2 - 1
Let q(x) = -17*x**2 - 7 + 2 + 3*x + 13*x**2. Let k(z) be the third derivative of -7*z**5/60 + 5*z**4/24 - 3*z**3/2 - 3*z**2. Give -3*k(a) + 5*q(a).
a**2 + 2
Let z(q) = -q**3 - 2. Let s(g) = g**3 + 4. Calculate 3*s(m) + 7*z(m).
-4*m**3 - 2
Let a(n) = 4*n**2 + 5*n + 3. Let k(m) = 3*m**2 + 6*m + 2. Let q(o) = -11*o**2 - 24*o - 7. Let g(b) = 9*k(b) + 2*q(b). Calculate -6*a(s) + 5*g(s).
s**2 + 2
Let d(b) be the third derivative of b**6/40 + b**5/15 - 2*b**2. Suppose 4*i = 8 - 0. Let g(w) = 2*w**3 + w**2 + w**i + w**2. What is -4*d(x) + 5*g(x)?
-2*x**3 - x**2
Let l(r) = 5*r**2 + 2*r + 2. Let q(d) = 19*d**2 + 9*d + 9. Determine 18*l(y) - 4*q(y).
14*y**2
Let t(s) = s + 1. Let l(v) be the second derivative of 2*v**3/3 + 7*v**2/2 - 22*v. What is l(a) - 5*t(a)?
-a + 2
Let w(r) = r**2. Suppose 0 = -2*h - h - 6. Let v(m) = -15*m**2 + 3*m + 17. Let x(a) = -5*a**2 + a + 6. Let c(z) = 6*v(z) - 17*x(z). Determine h*c(f) - 11*w(f).
-f**2 - 2*f
Let h(x) = -1. Let v(d) = d**2 - 2*d. Let f be 2/((-2)/(-3))*54/81. Determine f*h(w) + v(w).
w**2 - 2*w - 2
Let v(l) be the first derivative of l**2/2 - l - 1. Let c(z) be the second derivative of 1/2*z**3 + 0 - 1/6*z**4 - 3*z - 3/2*z**2. What is c(s) - 3*v(s)?
-2*s**2
Let l(b) = 42*b + 9. Let c(r) = 21*r + 4. Calculate 9*c(a) - 4*l(a).
21*a
Let g(u) be the first derivative of -u**2/2 - u + 1. Suppose 3*y + 2*f + 17 = 4*f, -y - 8 = -3*f. Let j(v) = -v - 1. Give y*j(k) + 4*g(k).
k + 1
Let r(p) = -23*p + 3. Let k(c) = -8*c + 1. Suppose 8*m + 17 = -119. Determine m*k(b) + 6*r(b).
-2*b + 1
Let s(m) be the first derivative of -m**4/4 - m + 10. Let r(l) = 3*l**3 + 1. Calculate -r(y) - s(y).
-2*y**3
Let i(x) = -x**3 - x. Let l(o) be the third derivative of -o**6/40 + o**5/60 - o**4/6 - 6*o**2. Determine 4*i(u) - l(u).
-u**3 - u**2
Let a(g) = 10*g - 5. Let l(y) = 1. Let s(p) = 2*p - 4. Let v(b) = -3*l(b) - s(b). Let z = -11 + 22. What is z*v(u) + 2*a(u)?
-2*u + 1
Suppose 2*w - 4*w + 4 = 0. Let b(x) = 0 + 0 + 7*x**w - 2. Let h(p) = 4*p**2 - 1. Give 6*b(s) - 10*h(s).
2*s**2 - 2
Suppose 0 = b - 5*g - 3, 0 = -5*b + 5*g - 53 - 12. Let h(l) = -6*l + 17. Let q(f) be the second derivative of -f**3/3 + 3*f**2 + f. Give b*q(r) + 6*h(r).
-2*r
Let g(i) = 4*i**3 - i**2 + 7*i - 7. Let h(y) = -3*y**3 + y**2 - 5*y + 5. Calculate -5*g(z) - 7*h(z).
z**3 - 2*z**2
Let d(m) be the third derivative of m**5/12 + m**4/6 + m**2. Let j be 5/(-7) - (-6)/(-21). Let i = j - -4. Let s(k) = 4*k**2 + 3*k. Determine i*d(a) - 4*s(a).
-a**2
Let i(s) be the second derivative of -7*s**4/12 + 3*s**3/2 + 4*s. Let n(u) be the second derivative of u**4/3 - 5*u**3/6 + 16*u. What is -3*i(w) - 5*n(w)?
w**2 - 2*w
Let b(o) = 4*o**3 + 10*o - 10. Let z(l) = -l**2 + 10. Let u be z(-4). Let c(h) = h**3 + 3*h - 3. What is u*b(v) + 20*c(v)?
-4*v**3
Let h(r) = -r**3 + 4*r**2 - 7*r - 4. Let u(m) = -m**3 + 3*m**2 - 6*m - 3. Calculate -3*h(y) + 4*u(y).
-y**3 - 3*y
Let z(w) be the second derivative of 0*w**3 + 2*w + 0 + 1/24*w**4 + w**2. Let l(f) be the first derivative of z(f). Let v(h) = 5*h. What is 3*l(g) - v(g)?
-2*g
Let z(y) = -y - 5. Let b(j) = 4*j + 20. What is -2*b(x) - 9*z(x)?
x + 5
Let y(m) = 8*m + 5. Let j(q) = -16*q - 9. What is -3*j(i) - 5*y(i)?
8*i + 2
Let f(w) = -w**2 + 4*w + 3. Let y(h) = 3*h**2 - 11*h - 9. Let o(k) = -11*f(k) - 4*y(k). Let r(g) = -2*g**2 + 5. Calculate -5*o(i) + 3*r(i).
-i**2
Let n(u) = 33*u**2. Let f(k) = -67*k**2. Give 6*f(a) + 11*n(a).
-39*a**2
Let j(f) = 2*f + 5. Let g(m) = m**2 - 11*m - 14. Let d be g(12). Let x(v) = 3*v**2 + 2*v - 2. Let b be x(d). Let c(z) = -3*z - 6. Determine b*j(l) + 5*c(l).
-3*l
Let i(x) = -5*x - 10. Let c(q) = -2*q - 5. What is 5*c(f) - 3*i(f)?
5*f + 5
Let r(n) = -n**3 + n**2 + 1. Let z(b) = 3*b**3 - 5*b**2 - 5. Determine 5*r(f) + z(f).
-2*f**3
Let c(w) = -7*w - 3. Let g(t) = -3*t - 1. What is 2*c(j) - 5*g(j)?
j - 1
Let z = 1 - 2. Let p be -2 + z*(1 + -2). Let m(k) = k**3 - k**2. Let s(l) = -3*l**3 + 4*l**2. Determine p*s(g) - 4*m(g).
-g**3
Suppose -4 = k - 0*k - 5*m, -4*k + 5*m = 1. Let f(a) = -a + 1. Let t(u) = 2*u + 2. Give k*t(r) - f(r).
3*r + 1
Let k(p) = -23*p - 1. Let t(d) = -68*d - 3. Determine 11*k(x) - 4*t(x).
19*x + 1
Let a(t) = -4*t + 1. Let u be 1/(-1*(-2 - -3)). Let r = -2 + u. Let o(d) = 5*d - 2. Calculate r*o(y) - 4*a(y).
y + 2
Let m(o) = 12*o**2 + 5. Let x(d) = 1. Give -m(y) + 2*x(y).
-12*y**2 - 3
Let i(s) = -8*s**2 + s - 3. Let t(o) = 17*o**2 - 3*o + 6. Determine 5*i(v) + 2*t(v).
-6*v**2 - v - 3
Let h(i) = -i**2 - 3*i - 2. Let s(a) be the second derivative of -a**4/12 - a**3/6 + a. Let f = 4 - 13. Let x = f - -8. Determine x*h(t) + 3*s(t).
-2*t**2 + 2
Let z(o) = 10*o + 2*o**3 - 3*o**3 + 0*o**3 - 5*o**3 - 10. Let u(r) = r**3 - r + 1. Calculate 10*u(q) + z(q).
4*q**3
Let h(o) = o. Let a be 920/90 - 2/9. Let n(b) = 1 - 12*b + a*b + 0. Calculate 4*h(x) + n(x).
2*x + 1
Let c(m) = -33*m**2 - 7*m - 5. Let u(l) = 17*l**2 + 4*l + 3. Give 4*c(s) + 7*u(s).
-13*s**2 + 1
Let a(g) = 3*g**2 + g - 2. Let o(z) = 10*z**2 + 3*z - 6. Give -14*a(j) + 4*o(j).
-2*j**2 - 2*j + 4
Let v(s) = s**3 - 3*s + 5. Let r(x) = -2*x + 4. Let d(o) = o**3 - 6*o**2 + o - 6. Let n be d(6). Let i be -3 + n*(-2)/4. Calculate i*r(g) + 2*v(g).
2*g**3 - 2
Let a(k) = k. Let j(v) = -4*v. What is 20*a(u) + 4*j(u)?
4*u
Let j(u) = -2 + 1 + 7 - 23*u**3. Let v be (-6)/(-4 + (-2)/(-1)). Let p(s) = 2*s - 2*s + 8*s**v - 2. Give -6*j(o) - 17*p(o).
2*o**3 - 2
Let j(i) = -3*i**2 + 3*i + 5. Let t(l) = l**2 - l - 2. Give -4*j(d) - 11*t(d).
d**2 - d + 2
Let k(h) = -8*h + 1. Let m(a) = 7*a + 2. Let j(c) = 21*c + 5. Let v(d) = -3*j(d) + 8*m(d). What is -4*k(w) + 5*v(w)?
-3*w + 1
Let y(g) = 4*g - 1. Let z(s) = 5*s. Let d(q) = -3*y(q) + 2*z(q). Let t(p) = -3*p + 4. Suppose 0 = -x - 6*b + 2*b - 4, -3*b = 2*x + 8. Determine x*d(r) + 3*t(r).
-r
Let w(c) = -2*c**3 - 5*c**2 + 6*c + 5. Let h(j) = 2*j**3 + 5*j**2 - 7*j - 6. Calculate -6*h(o) - 7*w(o).
2*o**3 + 5*o**2 + 1
Let h(u) = 11*u - 15. Let v(s) = -s. Let y(m) = -7*m + 7. Let b(z) = -2*v(z) + y(z). Give -13*b(l) - 6*h(l).
-l - 1
Let f(v) = -v - 34. Let m(n) = 1. Determine -f(j) - 2*m(j).
j + 32
Let z(j) = 5*j - 1. Let r be (0 + 1)/1 - 3. Let o be (-2)/(-2)*r/2. Let d(f) = -f. What is o*z(v) - 6*d(v)?
v + 1
Let w(f) be the third derivative of -7*f**6/120 + f**5/12 - 5*f**4/24 - 5*f**3/6 + 3*f**2. Let o(l) = 10*l**3 - 7*l**2 + 7*l + 7. Give 5*o(x) + 7*w(x).
x**3
Let y(w) = 9*w + 11. Let z(r) = 5*r + 6. What is 4*y(g) - 7*z(g)?
g + 2
Suppose 3*v + 8*x + 11 = 3*x, 5*v + 2*x = -12. Let o(z) = -5*z**2 + 3*z**2 + 4*z**3 - 3*z + z. Let j(s) = -5*s**3 + 3*s**2 + 3*s. What is v*j(h) - 3*o(h)?
-2*h**3
Let g(d) = d. Let t(c) = 6*c + 1. Let n = -6 - 5. Let b = -4 + 10. Let a = n + b. Give a*g(r) + t(r).
r + 1
Let p(f) be the third derivative of -f**5/10 + 7*f**4/24 + 7*f**3/6 + f**2. Let r(h) = 4*h**2 - 5*h - 5. What is 5*p(l) + 7*r(l)?
-2*l**2
Let s(c) = -3*c - 2. Let y = -28 - -24. Let k(d) = -10*d - 7. Give y*k(g) + 14*s(g).
-2*g
Let n(f) = 15*f + 10. Let b(q) = 7*q + 5. Determine -5*b(g) + 3*n(g).
10*g + 5
Let w(v) = -v**3 + 7*v**2 + 2. Let m be w(7). Let u be 0/(-2) - (8 - m). Let j(z) = -3*z**3 + 14*z + 17. Let r(q) = -q**3 + 5*q + 6. What is u*j(a) + 17*r(a)?
a**3 + a
Let g(t) = 55*t**2 - 129*t**2 + 76*t**2 + 3*t. Let j(n) = 0*n + 3*n + 2*n + 3*n**2. What is -10*g(h) + 6*j(h)?
-2*h**2
Let n(y) = -4*y**2 + 3*y - 5. Let x(d) = -3*d**2 + 2*d - 5. Let k(z) = 4*n(z) - 5*x(z). Let v(l) = 127*l + l**2 - 3 - 129*l - 3. Calculate 6*k(a) + 5*v(a).
-a**2 + 2*a
Let x(t) = 161*t + 7. Let y(k) = -80*k | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 256 is divided by 82?
10
What is the remainder when 1730 is divided by 28?
22
Calculate the remainder when 226 is divided by 57.
55
Calculate the remainder when 2121 is divided by 1056.
9
What is the remainder when 178 is divided by 9?
7
What is the remainder when 31825 is divided by 218?
215
What is the remainder when 311 is divided by 59?
16
What is the remainder when 542 is divided by 36?
2
Calculate the remainder when 8363 is divided by 89.
86
What is the remainder when 97 is divided by 20?
17
What is the remainder when 1459 is divided by 356?
35
Calculate the remainder when 1095 is divided by 122.
119
What is the remainder when 4532 is divided by 63?
59
What is the remainder when 2355 is divided by 18?
15
What is the remainder when 1690 is divided by 17?
7
What is the remainder when 663 is divided by 33?
3
Calculate the remainder when 5896 is divided by 246.
238
What is the remainder when 230 is divided by 34?
26
What is the remainder when 106 is divided by 16?
10
Calculate the remainder when 3033 is divided by 76.
69
What is the remainder when 523 is divided by 33?
28
What is the remainder when 97 is divided by 27?
16
Calculate the remainder when 665 is divided by 164.
9
What is the remainder when 193 is divided by 5?
3
What is the remainder when 22585 is divided by 46?
45
What is the remainder when 45 is divided by 17?
11
Calculate the remainder when 43 is divided by 10.
3
What is the remainder when 264 is divided by 75?
39
Calculate the remainder when 103 is divided by 36.
31
Calculate the remainder when 89 is divided by 5.
4
What is the remainder when 519 is divided by 514?
5
What is the remainder when 1090 is divided by 58?
46
What is the remainder when 309 is divided by 36?
21
Calculate the remainder when 13731 is divided by 7.
4
What is the remainder when 4958 is divided by 1652?
2
Calculate the remainder when 47 is divided by 3.
2
What is the remainder when 1673 is divided by 98?
7
What is the remainder when 160 is divided by 81?
79
What is the remainder when 3031 is divided by 430?
21
What is the remainder when 126 is divided by 6?
0
Calculate the remainder when 2015 is divided by 126.
125
Calculate the remainder when 666 is divided by 76.
58
Calculate the remainder when 4711 is divided by 76.
75
Calculate the remainder when 3182 is divided by 159.
2
Calculate the remainder when 97 is divided by 20.
17
What is the remainder when 1720 is divided by 127?
69
What is the remainder when 54 is divided by 28?
26
Calculate the remainder when 21312 is divided by 49.
46
What is the remainder when 169 is divided by 81?
7
What is the remainder when 391 is divided by 56?
55
What is the remainder when 101 is divided by 69?
32
What is the remainder when 778 is divided by 12?
10
What is the remainder when 134 is divided by 4?
2
Calculate the remainder when 1224 is divided by 41.
35
What is the remainder when 178 is divided by 36?
34
What is the remainder when 94 is divided by 66?
28
Calculate the remainder when 1597 is divided by 94.
93
What is the remainder when 1319 is divided by 2?
1
What is the remainder when 54 is divided by 11?
10
What is the remainder when 538 is divided by 60?
58
Calculate the remainder when 4118 is divided by 40.
38
Calculate the remainder when 4388 is divided by 11.
10
What is the remainder when 408 is divided by 45?
3
Calculate the remainder when 211 is divided by 17.
7
What is the remainder when 34 is divided by 4?
2
What is the remainder when 107 is divided by 23?
15
What is the remainder when 297 is divided by 50?
47
What is the remainder when 352 is divided by 74?
56
Calculate the remainder when 1898 is divided by 938.
22
Calculate the remainder when 258 is divided by 91.
76
What is the remainder when 2193 is divided by 58?
47
What is the remainder when 1272 is divided by 25?
22
What is the remainder when 864 is divided by 15?
9
What is the remainder when 326 is divided by 5?
1
What is the remainder when 289 is divided by 58?
57
What is the remainder when 72 is divided by 34?
4
What is the remainder when 425 is divided by 42?
5
What is the remainder when 67 is divided by 14?
11
Calculate the remainder when 47 is divided by 21.
5
Calculate the remainder when 1590 is divided by 99.
6
Calculate the remainder when 388 is divided by 36.
28
What is the remainder when 196 is divided by 14?
0
Calculate the remainder when 499 is divided by 91.
44
What is the remainder when 2230 is divided by 47?
21
What is the remainder when 374 is divided by 29?
26
Calculate the remainder when 1805 is divided by 15.
5
What is the remainder when 132 is divided by 66?
0
Calculate the remainder when 1912 is divided by 127.
7
Calculate the remainder when 8618 is divided by 56.
50
Calculate the remainder when 202 is divided by 15.
7
What is the remainder when 86 is divided by 38?
10
Calculate the remainder when 668 is divided by 116.
88
What is the remainder when 368 is divided by 179?
10
What is the remainder when 327 is divided by 84?
75
What is the remainder when 100 is divided by 28?
16
What is the remainder when 76 is divided by 41?
35
What is the remainder when 13639 is divided by 19?
16
What is the remainder when 839 is divided by 213?
200
What is the remainder when 1277 is divided by 21?
17
Calculate the remainder when 790 is divided by 159.
154
What is the remainder when 6035 is divided by 58?
3
What is the remainder when 49 is divided by 3?
1
Calculate the remainder when 3178 is divided by 453.
7
Calculate the remainder when 1328 is divided by 22.
8
Calculate the remainder when 223 is divided by 32.
31
What is the remainder when 1000 is divided by 42?
34
Calculate the remainder when 569 is divided by 11.
8
What is the remainder when 554 is divided by 105?
29
What is the remainder when 387 is divided by 103?
78
Calculate the remainder when 388 is divided by 49.
45
Calculate the remainder when 437 is divided by 141.
14
Calculate the remainder when 573 is divided by 81.
6
What is the remainder when 371 is divided by 167?
37
What is the remainder when 140 is divided by 37?
29
Calculate the remainder when 7738 is divided by 45.
43
What is the remainder when 174 is divided by 80?
14
What is the remainder when 221 is divided by 21?
11
What is the remainder when 77 is divided by 50?
27
What is the remainder when 21043 is divided by 183?
181
Calculate the remainder when 463 is divided by 436.
27
Calculate the remainder when 1242 is divided by 15.
12
What is the remainder when 154 is divided by 13?
11
Calculate the remainder when 296 is divided by 252.
44
What is the remainder when 858 is divided by 75?
33
Calculate the remainder when 95 is divided by 55.
40
What is the remainder when 302 is divided by 38?
36
Calculate the remainder when 3474 is divided by 316.
314
What is the remainder when 329 is divided by 86?
71
What is the remainder when 122 is divided by 50?
22
Calculate the remainder when 31 is divided by 23.
8
Calculate the remainder when 84 is divided by 25.
9
Calculate the remainder when 504 is divided by 276.
228
Calculate the remainder when 539 is divided by 297.
242
Calculate the remainder when 273 is divided by 178.
95
What is the remainder when 411 is divided by 40?
11
What is the remainder when 141 is divided by 4?
1
What is the remainder when 23579 is divided by 53?
47
What is the remainder when 1021 is divided by 41?
37
What is the remainder when 39 is divided by 14?
11
Calculate the remainder when 2501 is divided by 167.
163
Calculate the remainder when 269 is divided by 45.
44
Calculate the remainder when 8826 is divided by 81.
78
What is the remainder when 6866 is divided by 237?
230
Calculate the remainder when 66 is divided by 37.
29
What is the remainder when 181 is divided by 31?
26
Calculate the remainder when 351 is divided by 22.
21
Calculate the remainder when 413 is divided by 83.
81
What is the remainder when 173 is divided by 61?
51
Calculate the remainder when 79 is divided by 35.
9
What is the remainder when 998 is divided by 277?
167
Calculate the remainder when 620 is divided by 91.
74
Calculate the remainder when 291 is divided by 21.
18
What is the remainder when 1021 is divided by 57?
52
What is the remainder when 284 is divided by 79?
47
Calculate the remainder when 178 is divide | {
"pile_set_name": "DM Mathematics"
} |
46*b**4 - 37 wrt b?
584*b**3
Suppose 5*b - 11 = 4. Find the third derivative of -w**b + 17*w**2 + 0*w**3 + 4*w**2 - 10*w**2 wrt w.
-6
Let n(f) be the second derivative of -f**7/2 - 3*f**5/20 + f**4/12 - 8*f**2 + 178*f. What is the third derivative of n(a) wrt a?
-1260*a**2 - 18
Let i(c) = 140*c**2 + c + 1. Let u be i(-1). Suppose 0 = 7*x - 2*x - u. What is the derivative of -1 + 0 + 23*a**4 - x*a**4 wrt a?
-20*a**3
Find the first derivative of -23*j**4 - 42158*j**2 + 42158*j**2 + 6 wrt j.
-92*j**3
Find the third derivative of 905*z**4 + 9*z**2 + 67*z**5 - 903*z**4 + 43*z**5 + 1 wrt z.
6600*z**2 + 48*z
Suppose -2*m = -4*m + 108. Find the second derivative of -2*u + m*u**2 - 3*u - 27*u**2 wrt u.
54
Let b = -87/10 - -331/30. Let g(j) be the first derivative of 0*j**2 - 9 + 0*j**4 - 1/5*j**5 + 0*j + b*j**3. Find the third derivative of g(u) wrt u.
-24*u
Let w(v) = -2*v - 5. Let u be w(-5). Find the second derivative of 3*k**3 - 7*k - 18*k**4 + 2*k**3 - u*k**3 wrt k.
-216*k**2
Let z(t) be the third derivative of -4*t**2 + 0*t**3 + 0 - 1/336*t**8 + 0*t**4 + 0*t**6 + 0*t**7 + 0*t + 3/20*t**5. Find the third derivative of z(g) wrt g.
-60*g**2
Let o(j) = j**3 - 7*j**2 + 6*j + 3. Let b be o(6). What is the second derivative of -12*k**3 + 12*k**b - 14*k - 2*k**4 wrt k?
-24*k**2
Let b be 15/1*(-1)/3. Let q = b + 9. Find the third derivative of 59*v**5 + 0*v**q + 0*v**4 - 64*v**5 + 2*v**2 wrt v.
-300*v**2
Let u be 5 - (-4)/(-2) - 1. Let g = -157 - -164. Find the third derivative of -5*a**2 - 6*a**u + 3*a**5 - 5*a**5 + g*a**2 wrt a.
-120*a**2
Suppose 2*g - 3*a - a = 6, 2*a = 0. Suppose g*k - q = -2*k + 7, 16 = 5*k + 2*q. Differentiate -k*b**2 - 4*b**2 - 2*b**2 + 1 with respect to b.
-16*b
Let c(f) = -f**3 - f**2 + f. Let d(v) = 584*v**3 + 637*v**2 - 6*v. Let b(q) = 6*c(q) + d(q). What is the third derivative of b(t) wrt t?
3468
Let x(p) be the first derivative of -12 - 4*p + 0*p**3 + 13*p + p**3 + 10*p. What is the derivative of x(t) wrt t?
6*t
Let d(y) = -8*y**3 - 2*y**2 - y. Let v be d(-1). Let h(a) = -a + 11. Let j be h(v). Differentiate j + 2*l**4 + l**4 - 2 - 7 with respect to l.
12*l**3
Let s(l) be the second derivative of -109*l**4/4 + 379*l**2 - 651*l. Differentiate s(p) wrt p.
-654*p
Find the second derivative of 722*o**3 + 735*o**3 - 1038*o - 1335*o**3 wrt o.
732*o
Let j(a) be the third derivative of 0*a + 0*a**3 - 2/21*a**7 - 44*a**2 + 0 + 0*a**4 + 1/6*a**5 + 0*a**6. Find the third derivative of j(s) wrt s.
-480*s
Let c(i) be the first derivative of -269*i**3/3 - 359*i**2/2 - 217. Find the second derivative of c(j) wrt j.
-538
Suppose 0 = -4*q - n + 8 + 15, 2*q + 2*n = 10. Suppose -4*m = -14 - q. Find the second derivative of -4*b - b - 7*b**5 + b**m wrt b.
-120*b**3
Find the second derivative of -13*c**2 + 1412*c**5 - 96*c - 1411*c**5 - 31*c**2 wrt c.
20*c**3 - 88
Suppose 0*d + 30 = -3*d. Let f be 1 + (0 - -2) + d. Let u(m) = m**2 + 4. Let p(i) = 2. Let x(s) = f*p(s) + 3*u(s). What is the first derivative of x(r) wrt r?
6*r
What is the second derivative of -b + 27*b - 67*b**3 - 15*b - 2 + 11*b wrt b?
-402*b
Let u(v) be the second derivative of 7*v**4/8 + 5*v**3/6 + 47*v**2/2 + 49*v. Let f(c) be the first derivative of u(c). Differentiate f(y) with respect to y.
21
Let q be 6/9*-3 - -4. Find the first derivative of -112 + 109 - i**4 + q*i - 2*i wrt i.
-4*i**3
Let d(g) = 2*g - 2. Let i be d(2). Let u = -7 - -9. Differentiate 4 - i - j + j + u*j with respect to j.
2
Let r(b) be the first derivative of -112*b**6/3 + 3*b**2 + 5*b + 157. What is the second derivative of r(i) wrt i?
-4480*i**3
Let i(g) = 4*g**4 - 6*g**3 - 7*g - 22. Let j(o) = -8*o**4 + 13*o**3 + 14*o + 44. Let l(r) = -13*i(r) - 6*j(r). What is the derivative of l(y) wrt y?
-16*y**3 + 7
Let l(f) = 142*f - 8. Let u(w) = 3*w - 1. Let y(z) = -l(z) + 4*u(z). Differentiate y(a) with respect to a.
-130
Let n(b) be the third derivative of 52*b**6/15 + 67*b**4/12 - 29*b**2 + 5*b. Find the second derivative of n(t) wrt t.
2496*t
Find the second derivative of -2458*a**4 + 1304*a**4 + 1263*a**4 - 312*a wrt a.
1308*a**2
Suppose -4*j = 1 + 11, 0 = 3*y + j - 27. Let z = y + -7. Differentiate -z + 2 - 4 + 0*t - 3*t wrt t.
-3
Let s = -30 + 34. What is the derivative of 11 + 10*y**2 + s*y**2 - 2*y**2 wrt y?
24*y
Suppose 2*a + x = -x - 2, 2*a - x = -14. Let j(s) = -7*s**2 - 3. Let g(y) = 8*y**2 + 2. Let t(f) = a*j(f) - 4*g(f). What is the first derivative of t(d) wrt d?
6*d
Let k be (-8 - 0) + 4 + (-51)/(-6). Let j(u) be the second derivative of -k*u**2 - 3*u + u**3 + 0. What is the first derivative of j(d) wrt d?
6
What is the third derivative of 5*g - 2*g**2 + 1544 - 44*g**4 - 1544 - 2*g**3 + 3*g**3 wrt g?
-1056*g + 6
Let w(c) be the first derivative of 5*c**4/3 + 19*c**3/6 - 31*c + 20. Let o(g) be the first derivative of w(g). Find the second derivative of o(h) wrt h.
40
Suppose 2*q - 23 = 29. Suppose -38 = -4*n + q. Find the third derivative of -4*k**5 + 16 - n + 2*k**2 wrt k.
-240*k**2
Let n(x) be the first derivative of 38*x**2 - 210*x - 59. What is the first derivative of n(q) wrt q?
76
Let w(s) be the second derivative of 2*s**6/15 + 3*s**5/20 + 73*s**2/2 - 11*s + 2. Differentiate w(t) wrt t.
16*t**3 + 9*t**2
Let f(w) = 75*w**2 - 5*w - 122. Let d(a) = 112*a**2 - 7*a - 186. Let h(k) = 5*d(k) - 7*f(k). What is the derivative of h(o) wrt o?
70*o
Let c(p) = 17*p**2 + 3*p + 1. Let l be c(-2). Let u be (-32)/(-14) + (-18)/l. Find the second derivative of 2*r**3 + u*r - r + r wrt r.
12*r
Let d(c) = 27*c**3 - c**2 - 9*c + 99. Let y(i) = -8*i**3 + 2*i - 12 + 13 - 26 + i**3. Let q(u) = 2*d(u) + 9*y(u). Differentiate q(s) wrt s.
-27*s**2 - 4*s
Let s = 37 - 55. Let j be (14/21)/((-3)/s). What is the third derivative of -k + 2*k**j + 0*k**2 + 10*k**2 + k wrt k?
48*k
Suppose -12 = 4*a - 172. Suppose -3*i = 3*l + 6 - 24, 5*i + 3*l = a. What is the derivative of -18*k**2 + i*k**2 - 5 + 10 wrt k?
-14*k
Find the second derivative of -51*l**4 + 25*l**4 - l - 51*l**4 - 17 - 3 wrt l.
-924*l**2
Let b = 16 + -38. Let q be ((-6)/(-4))/((-11)/b). What is the third derivative of -377*g + 10*g**2 - 14*g**q + 377*g wrt g?
-84
Let v(a) = -2*a**3. Let w be v(-1). Differentiate -p + 1 - 13 + 5*p**w + p wrt p.
10*p
Suppose 0 = -w + 4*o + 6, 2*o = o - 1. Find the second derivative of 44*j - 9*j**w + 2 - 42*j - 15*j**2 wrt j.
-48
Suppose -12 = -34*g + 28*g. Let p(u) be the first derivative of -2/3*u**6 + 0*u**g + 0*u + 3 + 0*u**5 + 0*u**4 - u**3. Find the third derivative of p(n) wrt n.
-240*n**2
What is the second derivative of 2*y - 88*y**3 - 71*y**3 + 17 + 8*y**3 wrt y?
-906*y
Let g(k) be the first derivative of -k**8/120 - k**5/12 + k**3 + 7. Let v(a) be the third derivative of g(a). What is the second derivative of v(n) wrt n?
-168*n**2
Let c(b) = b**3 + b**2 - b. Let y(k) = 2*k**5 - 50*k**4 - 6*k**3 - 6*k**2 + 34*k + 2. Let m(w) = -6*c(w) - y(w). Find the second derivative of m(d) wrt d.
-40*d**3 + 600*d**2
Let m(b) be the first derivative of -58*b**3 - 22*b**2 + 357. What is the second derivative of m(a) wrt a?
-348
Suppose -4*b - 25 = -9*b. Let r(z) = 29*z**2 + 3*z - 33. Let u(m) = 59*m**2 + 5*m - 65. Let y(v) = b*r(v) - 3*u(v). What is the derivative of y(h) wrt h?
-64*h
What is the second derivative of 5*s**2 + 42*s**2 - 73*s + 24*s**2 + 13 - 14 wrt s?
142
Suppose 4*t = 7 + 5. Let y be (-12)/(-9)*(-6)/(-1). Differentiate y*k**3 + 4 + 0*k + 0*k - t*k**3 with respect to k.
15*k**2
Let v(f) be the third derivative of -3*f**7/280 - f**4/3 - f**3/2 - 12*f**2. Let y(a) be the first derivative of v(a). Find the first derivative of y(h) wrt h.
-27*h**2
Let g(x) be the third derivative of -x**4/24 + 7*x**3/3 - 10*x**2. Let q be g(7). Find the first derivative of 1 + w - 2*w + 2*w + q*w wrt w.
8
Let j(n) be the second derivative of 19*n**6/15 + n**4/6 - n**3 - 3*n - 37. What is the third derivative of j(r) wrt r?
912*r
Let x(i) be the second derivative of 0*i**2 + 0 - 1/2*i**5 + 0*i**3 + 12*i - i**4. Find the third derivative of x(a) wrt a.
-60
Let z(c) = -c**5 - c**4 + c**3 - c**2 + c. Let k(a) = 25*a**4 - 3*a**3 + 28*a**2 - 2*a. Let p(j) = k(j) + 3*z(j). What is the third derivative of p(b) wrt b?
-180*b**2 + 528*b
Suppose -4*r - 2*n = -16, 4*r - 3*n = r + 30. Find the third derivative of g**r + 0*g**6 + 2*g**6 + 7*g**6 + | {
"pile_set_name": "DM Mathematics"
} |
163 for t.
14
Solve -157*v + 2896 = 24*v for v.
16
Solve 128*x = -34 + 1058 for x.
8
Solve 104*a + 1588 = 5020 for a.
33
Solve -900*n = 660*n + 44350 - 3790 for n.
-26
Solve 68*f - 71 = 269 for f.
5
Solve 16281 = 212*y - 621*y - 194*y for y.
-27
Solve 0 = -48326*j + 48337*j + 143 for j.
-13
Solve -9*s - 75 + 235 = 7*s for s.
10
Solve 2034*w = 2023*w - 132 for w.
-12
Solve -13*u - 21 = -49*u + 15*u for u.
1
Solve 29*q - 27*q + 495 = 57*q for q.
9
Solve -13 = 382*m - 379*m + 26 for m.
-13
Solve -801 - 612 = 207*i - 50*i for i.
-9
Solve 5*x + 22 = -3*x - 74 for x.
-12
Solve 0 = -323*c + 338*c + 60 for c.
-4
Solve -50*h + 19*h - 41 = 517 for h.
-18
Solve -508317*w = -508285*w + 128 for w.
-4
Solve -408*b + 4550 = -590*b for b.
-25
Solve -5*g - 10*g + 153 = 2*g for g.
9
Solve 64225*g = 64235*g - 140 for g.
14
Solve -9257 = 59*o - 7959 for o.
-22
Solve -13*s + 81*s = 408 for s.
6
Solve -1057 = 14*j - 861 for j.
-14
Solve -2*x = 6*x + 2*x + 130 for x.
-13
Solve -101*o = -47*o - 49*o + 45 for o.
-9
Solve 24*t = -38*t + 63*t + 17 for t.
-17
Solve 0 = 227*g - 1013*g - 9432 for g.
-12
Solve 113*y - 556 = 913 for y.
13
Solve -303*y - 507 - 430 = 881 for y.
-6
Solve -283*v = -300*v - 51 - 204 for v.
-15
Solve 12*p + 22 = 46 for p.
2
Solve -30*z - 2*z - 370 = 558 for z.
-29
Solve -190 = i + 5*i - 52 for i.
-23
Solve 199*l + 200*l = 314*l - 2635 for l.
-31
Solve 288*m = 292*m + 44 for m.
-11
Solve 111 - 63 = 59*p - 70 for p.
2
Solve -629 - 1291 = 120*z for z.
-16
Solve -58 + 170 = 16*b for b.
7
Solve 0 = -54*z - 458 + 91 - 119 for z.
-9
Solve -89*r - 730 = -16*r for r.
-10
Solve 35*q - 91*q - 672 = 0 for q.
-12
Solve 560 = 108*x + 1424 for x.
-8
Solve 566 = 64*i + 1846 for i.
-20
Solve 18*q = -26*q - 382 - 146 for q.
-12
Solve 0 = 42*g + 3174 - 2586 for g.
-14
Solve -1023 - 218 = -241*c - 9435 for c.
-34
Solve -118*o + 339*o = -60*o - 562 for o.
-2
Solve 1738 = -95*y + 978 for y.
-8
Solve -40 + 63 = 16*r - 169 for r.
12
Solve 37*x - 442 = 3*x for x.
13
Solve l - 15 = -32 + 15 for l.
-2
Solve -56*t + 311 - 119 = 696 for t.
-9
Solve 58*g + 10307 = 9147 for g.
-20
Solve 9818*i = 9751*i + 1943 for i.
29
Solve 0 = 92*v - 768 - 612 for v.
15
Solve -208*m + 94*m = -2850 for m.
25
Solve 1240 + 552 = 256*q for q.
7
Solve 37 = -24*m - 83 for m.
-5
Solve 67*t + 73*t + 20 = 120*t for t.
-1
Solve 0 = 28*k + 39*k + 17*k - 252 for k.
3
Solve -43*m + 442 + 108 = -138 for m.
16
Solve -829 = -382*c - 595 + 5878 for c.
16
Solve -449 + 46 = 127*g + 232 for g.
-5
Solve 188 = 277*h - 857 + 9632 for h.
-31
Solve -1024 = 27*v + 28*v + 9*v for v.
-16
Solve -58*m + 14*m - 189 = 19*m for m.
-3
Solve -78*m + 399 = 76 - 67 for m.
5
Solve 28*f - 46*f + 15 = -23*f for f.
-3
Solve -41*q = -17*q + 42*q - 330 for q.
5
Solve 414*v - 60*v - 654 = 27*v for v.
2
Solve -52149*k - 269 = -52192*k - 914 for k.
-15
Solve 76*y - 922129 = -921369 for y.
10
Solve 78*c + 18*c + 363 = -597 for c.
-10
Solve -212*s = -129*s for s.
0
Solve -2368 = -1568*g + 1420*g for g.
16
Solve 12008 = -377*i + 1009*i for i.
19
Solve -53*u = 252 + 178 + 206 for u.
-12
Solve 194 = 37*p + 700 - 247 for p.
-7
Solve -12*n = -84*n + 751 + 617 for n.
19
Solve 0*b - 2*b = -19*b - 136 for b.
-8
Solve 3*l - 11 = -61*l - 75 for l.
-1
Solve 0 = 157*k - 58*k + 891 for k.
-9
Solve 101 - 89 = 3*n for n.
4
Solve 68*i + 1356 - 1424 = 0 for i.
1
Solve 2667 + 4629 = 1216*x for x.
6
Solve 10*a + 17*a = -39*a + 462 for a.
7
Solve -109*j + 96 = -164*j + 1196 for j.
20
Solve -377 = 269*b + 699 for b.
-4
Solve -34*z + 6333 = 10668 - 5321 for z.
29
Solve 1342*q - 17748 = -1616*q for q.
6
Solve 13656*b - 15 = 13659*b for b.
-5
Solve 92 = 37*a + 49*a - 338 for a.
5
Solve 7*t + 230*t + 1080 = -1764 for t.
-12
Solve 0 = -7*f + 1130 - 1109 for f.
3
Solve -108*j - 140 = -73*j for j.
-4
Solve 208*z - 1332 = -3620 for z.
-11
Solve -3*i - 709 + 697 = 0 for i.
-4
Solve 0 = 19*v - 0*v + 152 for v.
-8
Solve -1115 + 623 - 1045 = -53*g for g.
29
Solve 76 + 33 = -9*y + 64 for y.
-5
Solve 617*y = 224*y + 293*y - 100 for y.
-1
Solve -16143*a + 132 = -16121*a for a.
6
Solve 11*k + 10*k + 227 = -88 for k.
-15
Solve -10*o - 28 = -85*o - 328 for o.
-4
Solve -426*d - 54 = -395*d + 287 for d.
-11
Solve -129*s + 161*s + 273*s = -2135 for s.
-7
Solve 9*m + 500 - 581 = 0 for m.
9
Solve 0 = -6*i + 24*i + 72 for i.
-4
Solve -1859*l + 1839*l = 180 for l.
-9
Solve 0 = -37*j + 195*j + 130 + 344 for j.
-3
Solve -41227 = -2150*g - 29428 + 50551 for g.
29
Solve 59*g = 8484 - 10195 for g.
-29
Solve -292 = -39*x - 34*x for x.
4
Solve -544*j - 120 = -550*j for j.
20
Solve 7 = -42*p - 16*p - 747 for p.
-13
Solve -1824 = -25*z - 1549 for z.
11
Solve -6*w = -24 - 48 for w.
12
Solve -67 - 33 = -13*f + 17 for f.
9
Solve -1150 = -45*b + 200 for b.
30
Solve -142*v + 67 = -209*v for v.
-1
Solve 219*t + 1075*t - 9058 = 0 for t.
7
Solve 632*d - 727*d + 1140 = 0 for d.
12
Solve 4008 = 136*i + 159*i - 5137 for i.
31
Solve 339*x + 3 = 325*x + 17 for x.
1
Solve -813 + 213 = 60*m for m.
-10
Solve -11*t - 27*t + 23 - 137 = 0 for t.
-3
Solve 218*b - 260*b = -378 for b.
9
Solve 0 = -274*c + 265*c for c.
0
Solve 24 = -266*w + 254*w for w.
-2
Solve -342 = -103*o + 134 - 64 for o.
4
Solve -5777*n + 5555*n + 5106 = 0 for n.
23
Solve -562*d - 1074 - 2063 = 4169 for d.
-13
Solve 91519 - 91552 = v for v.
-33
Solve 5*a - 134 = -179 for a.
-9
Solve 64*b = -48*b - 2261 + 133 for b.
-19
Solve 45*u = -43*u - 86 + 438 for u.
4
Solve 1764 = 284*q + 3468 for q.
-6
Solve 0 = -278*p + 787 + 47 for p.
3
Solve 3092 - 13200 = 722*f for f.
-14
Solve 44*p - 88*p = -43*p + 9 for p.
-9
Solve -20*i = 3022 - 2702 for i.
-16
Solve -56*p + 48*p - 748 = -52*p for p.
17
Solve -107*i + 634 - 34 = -77*i for i.
20
Solve -1463*k - 11410 = -1789*k for k.
35
Solve 6557*p = 6572*p - 135 for p.
9
Solve -60*g = -58453 + 57373 for g.
18
Solve -146 + 1313 = -130*l - 783 for l.
-15
Solve -62*p - 5061 = -303*p for p.
21
Solve -383*a + 7506 + 10473 - 6106 = 0 for a.
31
Solve 7376*k + 53 = 7351*k - 22 for k.
-3
Solve 0 = -30*q - 1298 + 1838 for q.
18
Solve 57*o + 41*o = 85*o - 26 for o.
-2
Solve -2356*d + 2398*d = 252 for d.
6
Solve -174*p + 495 = -219*p for p.
-11
Solve -2053 = 81*g + 501 - 610 for g.
-24
Solve 0 = 104*c - 92*c - 210*c - 792 for c.
-4
Solve 61*q - 144 = 124*q - 79*q for q.
9
Solve 187*u = 201*u + 280 for u.
-20
Solve 121 - 43 = 6*i for i.
13
Solve 0 = 4945*c - 5992*c + 39786 for c.
38
Solve -811*o - 98 = 713 for o.
-1
Solve -857 = -2*t + 18*t - 1129 for t.
17
Solve 92 = 27*k - 0*k + 38 for k.
2
Solve -30*c + 369 = 10*c - 81*c for c.
-9
Solve -2426*g + 1210*g + 465 = -1185*g for g.
15
Solve -4*m + 1397 = 1333 for m.
16
Solve 299 = -3345*u + 3368*u for u.
13
Solve 149*q = 18179 - 15944 for q.
15
Solve -7 = 28*i - 146 - 57 for i.
7
Solve 300 + 346 = 28*b + 534 for b.
4
Solve -19*q = 3097 - 3496 for q.
21
Solve 189*l + 90*l - 9*l + 540 = 0 for l.
-2
Solve 170*d - 3460 = -3*d for d.
20
Solve -945*d - 14202 = -156*d for d.
-18
Solve -76*p - 140 + 689 = -211 for p.
10
Solve 285*n = -160*n - 283*n + 10192 for n.
14
Solve 8*l - 7 = 22*l + 161 for l.
-12
Solve 62*h + 288 = -267 - 251 for h.
-13
Solve 58*u = 44*u + 224 for u.
16
Solve -336 = -9*n - 399 for n.
-7
Solve -41723*i + 117 = -41732*i for i.
-13
Solve 0 = -750199*n + 750286*n + 1740 for n.
-20
Solve 14*o = 87*o + 131*o - 2856 for o.
14
Solve 1390 = -13*g - 1297 + 2557 for g.
-10
Solve 0 = 96*u - 97*u + 16 for u.
16
Solve 311*w = 331*w - 40 for w.
2
Solve 10*l + 19*l = -131 - 188 for l.
-11
Solve 2950*t - 2999*t + 918 = -650 for t.
32
Solve -12*b - 1074 = 9*b - 1116 for b.
2
Solve 337*x + 454*x + 38*x + 9119 = 0 for x.
-11
Solve 547*r - 1356 = 321*r for r.
6
Solve -6927 + 7375 = 32*r for r.
14
Solve 16*k - 1077 = -1301 for k.
-14
Solve -16*u - 5 - 7 = -15*u for u.
-12
Solve 52*y = -207*y + 7*y + 2520 for y.
10
Solve 831*g - 1438*g = -6677 for g.
11
Solve 330*n - 3220 = -63*n + 71*n for n.
10
Solve 98*w - 113 = 769 for w.
9
Solve -8 - 70 = -6*y for y.
13
Solve 92*f - 142*f - 24*f - 1480 = 0 for f.
-20
Solve 0 = -46*j - 5699 + 4043 for j.
-36
Solve -3088 - 812 = 130*f for f.
-30
Solve 58*w - 281 = 299 for w.
10
Solve 42 = -666*h + 707*h + 124 for h.
-2
Solve 0 = 463*r + 478*r - 1021*r - 960 for r.
-12
Solve -35*j + 340255 = 340710 for j.
-13
Solve -90*n - 68*n - 3482 = -164 f | {
"pile_set_name": "DM Mathematics"
} |
at is the remainder when a is divided by m?
12
Let k be (-15)/20 + (-1)/4. Let l = k - -12. What is the remainder when l is divided by 6?
5
Let o(b) = -b**2 + 5*b. Let c be o(5). Let q be -2 + 1 + c + -1. Calculate the remainder when (-6)/(-2 + 3 + q) is divided by 4.
2
Let w = -63 + 70. Calculate the remainder when 83 is divided by w.
6
Suppose -5 = -a - 1. Suppose -a*y + 2*y = -12. Suppose -1 = -f + y. What is the remainder when 12 is divided by f?
5
Suppose -3 = -5*h + 7. Let a(y) = 2 + 5*y - 4*y + 1 + y**2 - 2*y**2. What is the remainder when a(0) is divided by h?
1
Suppose 2*m - w = 12 - 0, -3*w = 3*m - 9. Suppose 4 = -3*u + r + 32, 4*r - 24 = -m*u. Calculate the remainder when 21 is divided by u.
5
Suppose -2*r - 114 = 5*c, -28 = c - 0*c + 3*r. Let x = 26 + c. What is the remainder when 11 is divided by x?
3
Suppose -2*t = -t - 60. Suppose -5*o + o = -t. What is the remainder when 41 is divided by o?
11
Let z(g) = 2*g - 7*g + g + 1. Calculate the remainder when z(-6) is divided by (-4)/(-2) - (-3 - 4).
7
Let w(x) = -3*x - 6. What is the remainder when (1 - 0) + 23 + -2 is divided by w(-6)?
10
Let x(h) = -4*h**3 + 3*h**2 - 2. Let k(m) = 10*m**3 + m**2 + m - 1. Calculate the remainder when x(-2) is divided by k(1).
9
Suppose 4*a = 7*a + 60. Calculate the remainder when 2/(-4) + (-1150)/a is divided by 15.
12
Let x be (-1 + -1)*453/(-2). Calculate the remainder when 49 is divided by x/27 + 2/9.
15
Suppose k + 42 = 2*k. Calculate the remainder when k is divided by 15.
12
Let p be 1/(-3) - 1/(-3). Suppose -100 = -3*x - 5*g, p*g + 170 = 5*x + 5*g. What is the remainder when x is divided by 13?
9
Let l(d) = d**3 - 16*d**2 + 15*d + 17. Suppose 5*z - 8 = 3*z + 5*g, -16 = -2*z + g. What is the remainder when l(15) is divided by z?
8
Let i be (125/4)/((-3)/(-12)). Suppose n - i = 6*n. Let b = 40 + n. Calculate the remainder when 43 is divided by b.
13
Let w = 69 - 7. Let d = 116 - w. What is the remainder when d is divided by 19?
16
Suppose q + 4*h - 489 = -4*q, -4*h = -4*q + 420. Let u(t) = -t**3 + t**2 - 7*t + 6. Let a be u(4). Let k = a + q. What is the remainder when k is divided by 11?
9
Let c = 34 - 20. Calculate the remainder when c is divided by (5 - 55/10)*(-1 - 9).
4
Suppose 10 = 3*f + 2*f. Suppose n - 5*g = -1 + 10, -2*n = f*g - 78. Calculate the remainder when n is divided by 12.
10
Let q be ((-7)/2)/(-1)*2. Let r = -5 + q. Suppose 20 = 2*m - r. Calculate the remainder when 20 is divided by m.
9
Let i be (-9)/1 + (-4 - -7). Let q be ((-2)/(-1))/(i/(-15)). Suppose -q*x - 5*w + 8 = -17, -5*w - 25 = 0. Calculate the remainder when x is divided by 4.
2
Let o be (-1)/(-3) + 156/18. Let k = -5 + o. What is the remainder when k is divided by 3?
1
Suppose 2*x + 0*x = 4*u - 22, 5*u + x - 38 = 0. Suppose 2*k + 1 - u = -4*t, -k - 5 = -2*t. What is the remainder when 4 is divided by t?
0
Suppose 0 = 3*g - 4*g. Suppose g = -4*y + 18 + 34. Let s = -9 + 14. Calculate the remainder when y is divided by s.
3
Suppose 2*q = -3*q + 35. Suppose -18 = -d + 8. Calculate the remainder when d is divided by q.
5
Suppose -2*x - 5*r + 16 = 0, 6*x - x - 5*r - 5 = 0. Suppose 42 = 5*n - x*n. Calculate the remainder when 4 is divided by n/9 + 1/(-3).
0
Let f = -26 - -37. What is the remainder when 21 is divided by f?
10
Let q(j) = j**2 - 5*j + 2. Let k be q(5). Let g(y) = -y**2 + 3*y**2 + 2*y + 1 + 0*y**k. Calculate the remainder when 24 is divided by g(-3).
11
Let s(g) = 5*g**2 + 2*g - 1. Let l be s(1). Let z(x) = -x**2 + 8*x - 7. Calculate the remainder when 13 is divided by z(l).
3
Let t = -1 + 5. Let k be 18*3/3 - -1. Suppose -14 - k = -3*b. Calculate the remainder when b is divided by t.
3
What is the remainder when 56/6 + (-2)/(-3) is divided by 3?
1
Suppose -2*a = -4*a + 36. What is the remainder when (-2)/(-4) - (-417)/6 is divided by a?
16
Let o = -35 + 42. Calculate the remainder when 32 is divided by o.
4
Suppose 96 = 2*j + 6*j. What is the remainder when 35 is divided by j?
11
Suppose 2*j = 0, u = -2*u - 3*j + 150. What is the remainder when u is divided by 14?
8
Let z(c) = c**3 - 15*c**2 - 2*c - 4. Calculate the remainder when z(16) is divided by 56.
52
Suppose -3*y + 21 = 6. Calculate the remainder when y is divided by 4.
1
Let g(x) = -x**2 + 11*x - 13. What is the remainder when 18/5*(-10)/(-4) is divided by g(9)?
4
Let o(u) = 3*u + 7. Let n be o(5). Suppose 4*j - 5*j = -3*m + 38, -2*m + 4*j = -n. Calculate the remainder when m is divided by 5.
3
Let s(v) = -3*v - 12. Calculate the remainder when 16 is divided by s(-6).
4
Let x(h) = 2*h - 1. Suppose -f - 28 = -5*f - 4*z, 3*z - 9 = -f. Let p(a) = a**3 + 8*a**2 - 13*a - 5. Calculate the remainder when p(-9) is divided by x(f).
9
Let z = -1 + 11. Calculate the remainder when z is divided by (6*1)/(-4 + 5).
4
Suppose 5*d - 160 = 5*l + 30, 0 = -l - 3. Calculate the remainder when d is divided by 6/(-1)*(-12)/8.
8
Let s(z) be the second derivative of z**3/6 + 27*z**2/2 - z. Calculate the remainder when 64 is divided by s(-10).
13
Let f = 8 - -8. What is the remainder when ((-2)/2)/(5/(-150)) is divided by f?
14
What is the remainder when (((-16)/6)/(-4))/((-20)/(-2130)) is divided by 12?
11
Suppose 2*g = -4*q + 14, 0 = 5*q - 3*q + 3*g - 13. Suppose -2*f - 2 = 0, q*f = -3*v - 2 + 6. Calculate the remainder when 43 is divided by (-122)/(-8) - v/8.
13
Let d(z) = -24*z. Let s be d(-1). Let r = s + -15. What is the remainder when 1*((0 - -4) + 22) is divided by r?
8
Suppose -47*v + 46*v + 5 = 0. Calculate the remainder when 19 is divided by v.
4
Suppose 5*m + 2*q = 0, -3*q - 12 = m - 5*q. Let a = 25 + 13. What is the remainder when a is divided by (m - -24) + 0 - 2?
18
Suppose 5*j + 233 + 207 = 5*k, -15 = 3*j. Calculate the remainder when k is divided by 14.
13
Let b(p) = -p**2 - 4*p + 4. Let t be (-12)/(-10)*(-20)/6. What is the remainder when 7 is divided by b(t)?
3
Suppose 138 - 553 = -5*y. Let o = y - 26. What is the remainder when o is divided by 30?
27
Suppose 0 = 4*m + 3*s - 32, 4*s = 5*m - 73 + 2. Calculate the remainder when m is divided by 8.
3
Let s be 267*-2*(-1)/6. Suppose -s - 15 = -4*a. Calculate the remainder when a is divided by 7.
5
Suppose 4*o - 2*p = 256, -p - 50 = -o + 14. What is the remainder when 53 is divided by (o + -10)*2/4?
26
Let x = 8 + -4. Calculate the remainder when x is divided by 2.
0
Suppose -18 = -0*c - 2*c + 2*o, -21 = -4*c + o. Suppose -c*b + 38 = 2*v, -2*v - 3*v + 103 = 2*b. Calculate the remainder when 60 is divided by v.
18
Suppose -39 = -4*c + 41. Suppose -23 + 63 = 4*l - 3*i, -2*l + c = 2*i. Calculate the remainder when 28 is divided by l.
8
Suppose 3*x + 4 + 41 = 0. Let g = -5 - x. Calculate the remainder when (2 + 4)/(12/56) is divided by g.
8
Let t(a) = 32*a - 10*a + 9*a**2 - 8*a - 9 - a**3. What is the remainder when t(10) is divided by 8?
7
Suppose 0 = -0*u - 4*u + 16. Suppose -2*m - 50 = -5*n, -3*n + u*m + 16 = -0*m. What is the remainder when n is divided by 3?
0
Let t be (-5)/(-1)*8/10. Let y(f) = -f**3 + 5*f**2 + 9*f. What is the remainder when y(6) is divided by (5/t)/((-3)/(-24))?
8
Suppose 73 = 5*d - 3*p - 175, -2*d - 2*p = -96. What is the remainder when d is divided by 13?
10
Let i = -1 - -7. Suppose i*m = 4*m + 4. Suppose 2*s = -j + 5, 2 = 5*s + j - 2*j. Calculate the remainder when m is divided by s.
0
Suppose 49 + 94 = o + 3*n, 492 = 4*o - 4*n. What is the remainder when 3/(-9) + o/6 is divided by 11?
10
Let s(a) = a**3 - 7*a**2 - a + 9. Let y be s(7). Suppose 3*f = 4*i - 22, 0 = y*i - f - 4 - 6. Calculate the remainder when i is divided by -4*(7/(-2) + 3).
0
Suppose -135 = -5*i - 2*w, 0 = -3*i - 2*w + 3*w + 92. What is the remainder when i is divided by 8?
5
Suppose 0 = 3*a + 2*a. Suppose -5*y - 3*r = -138, y - 3*r - 42 = -a*r. Calculate the remainder when 58 is divided by y.
28
Calculate the remainder when 27 is divided by 56/(-21)*(-15)/4.
7
Let j = 6 + -6. Let r(k) = k**2 - k + 9. Calculate the remainder when -3*2/(-3) + 14 is divided by r(j).
7
Let u(y) = -y**3 - 3*y**2 + 2*y - 5. Let s = -18 - -16. Calculate the remainder when u(-4) is divided by 3/s*18/(-27).
0
Suppose -2*q - s + 5*s + 40 = 0, 0 = 3*q + s - 81. Calculate the remainder when 49 is divided by q.
23
Calculate the remainder when (-5)/((-25)/265) + 2 is divided by 7.
6
Let d be (8/ | {
"pile_set_name": "DM Mathematics"
} |
1 + sqrt(68) + 2 - sqrt(68)))**2 + -3).
96*sqrt(17) + 504
Simplify (sqrt(225)/(sqrt(9)*2) - (sqrt(25) - sqrt(100)/(sqrt(20)/sqrt(5))))/((sqrt(140)/sqrt(4))/sqrt(7) - (sqrt(25)/sqrt(5)*-4 - sqrt(5) - sqrt(5)))*-1.
-sqrt(5)/14
Simplify -3*((sqrt(84) + (sqrt(84) - sqrt(84)*2 - sqrt(84)))*6)/sqrt(12) + (((sqrt(63)/sqrt(9))**2 + sqrt(7))*6 - (-1 + sqrt(70)/sqrt(10))**2).
34 + 26*sqrt(7)
Simplify (-1*(0 + (sqrt(350) + ((sqrt(350) + -1*sqrt(350))*6 - sqrt(350)) + sqrt(350))/((sqrt(77)*-1 + sqrt(77) - sqrt(77))/sqrt(11))))**2.
50
Simplify 4*(0 + (2 + sqrt(684) + -5*sqrt(684))**2)*2 + -5.
-768*sqrt(19) + 87579
Simplify (sqrt(105)/sqrt(5)*-4 + sqrt(231)/sqrt(176))/((sqrt(84) + ((-1*sqrt(84) - sqrt(84))*3 - sqrt(84)))/sqrt(12)*-2).
-5*sqrt(3)/16
Simplify (-3*-4*sqrt(2592) - (2*sqrt(72))/(1*sqrt(64)))**2.
741321/2
Simplify ((sqrt(17) + -4)*-3 - ((sqrt(136)/sqrt(8))**2 + -3)) + ((sqrt(68) + sqrt(68)*-1 + sqrt(68))**2 + sqrt(68))*-4 + 3 + -2 + sqrt(68) + -5.
-278 - 9*sqrt(17)
Simplify (((-4*-2*sqrt(408))/(-2*sqrt(108)))/(sqrt(288)*-2*-6 - -5*(2*sqrt(288) + sqrt(288))))**2.
17/59049
Simplify (((sqrt(156)*-3 - sqrt(156) - sqrt(156))*6)/(-2*sqrt(192)) + -1*(sqrt(117) + (sqrt(117) - 1*sqrt(117)) + 3 + sqrt(117) - sqrt(117)) + 2)**2.
-3*sqrt(13)/2 + 133/16
Simplify ((6*sqrt(104)*-3 + 3*3*sqrt(104))/((sqrt(672)/(-2*sqrt(12)))/(sqrt(70)/(sqrt(10) + sqrt(40)))))**2.
468
Simplify (3 + 1 + (sqrt(468) + (sqrt(468) + 2)*-6 + sqrt(468) - sqrt(468)))**2*1*-4 + 0.
-47056 - 1920*sqrt(13)
Simplify (5 + (sqrt(66)/(sqrt(12)/sqrt(2)) + 0 + sqrt(176) - (sqrt(11) + sqrt(55)/((sqrt(5) - sqrt(10)/sqrt(2)) + sqrt(5)) + -5*sqrt(176))))**2.
230*sqrt(11) + 5844
Simplify -1 + (((sqrt(2736) + -1)*3 - (sqrt(2736) + 0 + sqrt(2736) - sqrt(2736))*4) + 3 + -2 + -2 + sqrt(2736))**2.
15
Simplify (1 + (sqrt(20)/(sqrt(20)/(sqrt(2)*2 + sqrt(2))))**2)*-6 - ((sqrt(98) - (sqrt(98) + -1)**2) + -4 - 2*sqrt(32)*6).
-11 + 27*sqrt(2)
Simplify (-4 + 4 + 4*(-2 + sqrt(208))*3 + sqrt(208)*2*3*4)**2.
-6912*sqrt(13) + 270144
Simplify ((-2*(-3*-2*sqrt(560) + sqrt(560) + sqrt(560)))/((2*sqrt(84)*5 - sqrt(84))/(2*sqrt(300) + sqrt(300))) + -2)**2.
1280*sqrt(5)/3 + 512036/9
Simplify -6*((-6*sqrt(187)*-1)/(sqrt(88)/(sqrt(8)*-1)) - (sqrt(2057)*1 + sqrt(102)/sqrt(6)*3))**2.
-40800
Simplify (sqrt(605) + 1*sqrt(605)*-6 + -1)**2 - 3*sqrt(15)/(5*sqrt(12)/sqrt(4)).
547*sqrt(5)/5 + 15126
Simplify (5*(-2*sqrt(1152) + sqrt(1152))*2)/(2*(sqrt(1296) + 2*sqrt(1296)) - sqrt(1296) - ((-1*sqrt(1296) + sqrt(1296))*1 - sqrt(1296))).
-10*sqrt(2)/9
Simplify ((-1*sqrt(1800))/(sqrt(27)/sqrt(3)*1))**2 - (-3*sqrt(20)/sqrt(2))/(3*sqrt(15)/sqrt(3)).
sqrt(2) + 200
Simplify -5 + -6*(sqrt(209)/(sqrt(33)/sqrt(3)) - sqrt(19))**2 + (sqrt(228)*3)/sqrt(12) + 2.
-3 + 3*sqrt(19)
Simplify (1 + 1 + (sqrt(605)*-1 + 5)*6 + -3 + (sqrt(125)*1 - sqrt(125)) + -5)**2.
-3168*sqrt(5) + 22356
Simplify (-1*sqrt(1440))/(2*-1*sqrt(5)) - (sqrt(6)/(sqrt(48)*-2) + (1 + sqrt(2))*-3 + sqrt(54)/sqrt(3))**2.
-289/32 + 21*sqrt(2)/4
Simplify ((2 + (sqrt(76) + 1 - sqrt(76)) + 2 - (5 + 0 + sqrt(76) + -1*sqrt(76) + 0))*-2)**2.
0
Simplify (((sqrt(76) - (-2 + sqrt(76) + (sqrt(76) - (-1 + sqrt(76))))) + (0 + sqrt(76))*3 + 5 + -2 + 1*sqrt(76) + -2)*-3)**2*4.
1152*sqrt(19) + 43920
Simplify 1*((-6*((sqrt(208)*-1)**2 + -2) - (sqrt(208) - (0 + sqrt(208) + 2) - (sqrt(208) + 2 + -2))) + 1).
-1233 + 4*sqrt(13)
Simplify (((sqrt(153) - 2*sqrt(153))*-6*4)/(-1*3*sqrt(1089))*-6)**2.
39168/121
Simplify (sqrt(130) + -1*(sqrt(130) - sqrt(130)*-2) - (sqrt(130) + 6*-2*sqrt(130)))/((-2*sqrt(70)*-4)/(2*sqrt(448) - sqrt(448))).
9*sqrt(13)
Simplify (sqrt(1152)*2 - (sqrt(198)/sqrt(99) + sqrt(18)))/(-1*sqrt(576) - (sqrt(576) + -5*sqrt(576) + sqrt(9))).
44*sqrt(2)/69
Simplify (-5*(2 + -3 + (-5*sqrt(192)*1 - (sqrt(192) + 1 + sqrt(192) + 5))*-4))**2.
257600*sqrt(3) + 3776425
Simplify (-5 + (sqrt(192) + -3*(sqrt(192) + 1) - -2*-2*sqrt(192)) + (sqrt(192) + (-1 + sqrt(192))*3 - (sqrt(192) - (sqrt(192)*-2 + -1))))**2.
960*sqrt(3) + 4944
Simplify (sqrt(35) + -2*sqrt(140) + sqrt(140))/((2*sqrt(63))/sqrt(9)) + -4 + (-4 + 2 + sqrt(15)/sqrt(3))**2.
-9*sqrt(5)/2 + 5
Simplify (sqrt(320) - -1*sqrt(320))/(sqrt(12)/sqrt(3)*6) + 4*sqrt(2205)*-2.
-500*sqrt(5)/3
Simplify -5 + (sqrt(637) - sqrt(637)*3*1 - ((6*(sqrt(637) + -2))**2 + sqrt(637))) + (6*2*sqrt(637))**2 + sqrt(637) + -4 + (-3*sqrt(637))**2.
994*sqrt(13) + 74376
Simplify ((-4 + (-3 + (sqrt(304) + (sqrt(304) + sqrt(304)*1)*-5 + sqrt(304) + sqrt(304) - (sqrt(304) + (sqrt(304) - (0 + sqrt(304)))*5)))*6 + -3)*-1)**2.
9600*sqrt(19) + 701041
Simplify -1 + 2*(1 + sqrt(304) + -1 + sqrt(304) + sqrt(304) + 1 + -2)**2*-6.
-32845 + 288*sqrt(19)
Simplify 4 + -3 + ((2*sqrt(10))/sqrt(5) + 0 - (sqrt(1250) + -1)).
-23*sqrt(2) + 2
Simplify (sqrt(120)*6)/(sqrt(108)/sqrt(2)) + 1 + 5*(sqrt(20) + -5)**2.
-96*sqrt(5) + 226
Simplify 4 + (-4*(sqrt(475) + sqrt(475) + -1) + sqrt(475) - sqrt(475)*2*5)**2 + (3 + sqrt(475) + 3*(sqrt(475) + 5) + -5)**2.
-160*sqrt(19) + 145064
Simplify -5 + -3*5*(-1 + 1*-3*-3*(sqrt(1377) + 2 + sqrt(1377)))**2.
-6696560 - 82620*sqrt(17)
Simplify 1*sqrt(2299) + 2 + (-1*sqrt(2299) - sqrt(2299))*-1 - ((sqrt(2299) + -1)**2*5 - 3*(sqrt(2299) + -2)).
-11504 + 176*sqrt(19)
Simplify (-4 + (-4 + sqrt(1872) + ((-2 + sqrt(1872))*-3 - sqrt(1872)))*-2 + (1 + -6*1*sqrt(1872))*-4)**2.
-8640*sqrt(13) + 1684944
Simplify (sqrt(48)/sqrt(4)*-4 + (sqrt(24)*2)/sqrt(2))/(-2*(sqrt(6) - (sqrt(72) - (sqrt(72)*-1 + sqrt(72) + sqrt(72)))/sqrt(12)))*3 + 4.
4 + 3*sqrt(2)
Simplify (1 + -5*-6*(-3 + 5*sqrt(242) + sqrt(242)) + -4)**2 + 4.
-368280*sqrt(2) + 7849453
Simplify (sqrt(24)/sqrt(32) + sqrt(12)/(6*sqrt(4)) + (sqrt(147) + 2 + sqrt(3) - 6*sqrt(3)*4) + 0)**2.
-184*sqrt(3)/3 + 2128/3
Simplify (-2*(sqrt(448) + sqrt(448) + 1*sqrt(448) + 4)*-3)**2 + (sqrt(84)/(sqrt(120)/sqrt(160)) - ((sqrt(567) + sqrt(567)*1 + sqrt(567))*-5)**2).
18153 + 6916*sqrt(7)
Simplify ((2 + -6*(sqrt(405) + 2))**2 - (((sqrt(405) + 1*sqrt(405) + sqrt(405))**2 - sqrt(405)) + 4 - (0 + sqrt(405))**2*-4)) + -3.
1089*sqrt(5) + 9408
Simplify (-4*sqrt(132)*2 - -6*((sqrt(132) + sqrt(132)*-3 - sqrt(132)) + sqrt(132) + sqrt(132)))/(-2*sqrt(972)*6*6).
7*sqrt(11)/324
Simplify (-1*(2*sqrt(11) + sqrt(11)) - -2*(3*sqrt(11))**2) + (sqrt(1584) - ((sqrt(1584) + (sqrt(1584) + 1)*4)**2 - sqrt(1584)))*5.
-197882 - 2283*sqrt(11)
Simplify ((sqrt(77) + (sqrt(77) - 5*sqrt(77)*1))/((sqrt(110)/sqrt(2))/sqrt(5)) - (0 + (sqrt(252) - (sqrt(252) + 1)*1)))**2.
-6*sqrt(7) + 64
Simplify (-3*(1*1*sqrt(891) + sqrt(891))*-4 + (0 + sqrt(11))*6 + -3 + sqrt(44) + -1*(sqrt(11) + 1 + -3))**2.
-446*sqrt(11) + 547020
Simplify sqrt(40)/sqrt(405) - ((sqrt(24)/sqrt(3) - sqrt(8)) + 2)**2 - ((-1 + sqrt(648) + sqrt(8) - (sqrt(8) + (4 + sqrt(8)*2)**2)) + 0).
128*sqrt(2)/9 + 45
Simplify ((sqrt(162) + -3)**2 + 1 - (sqrt(162) - (-1 + sqrt(162))*-1) - ((sqrt(162)*-3)**2*-2 + (sqrt(162) - (4 + sqrt(162)*1))**2))*1.
-72*sqrt(2) + 3073
Simplify (2*(2 + sqrt(11) - sqrt(11)))**2 + (sqrt(704) + -3)**2 - 5*(sqrt(1100) + (sqrt(1100) - (-2*(sqrt(1100) + 0) + sqrt(1100)))).
-198*sqrt(11) + 729
Simplify (2 + -2 + sqrt(147)*2)**2 - (sqrt(84)/(sqrt(7)*2 - sqrt(7)))/(sqrt(40)/(sqrt(40)/sqrt(4))).
-sqrt(3) + 588
Simplify -2 + ((sqrt(3) + -2)*-6*-2 + 0 + (-1 + sqrt(75))*4 + 4)**2.
-1536*sqrt(3) + 3646
Simplify 5 + 5*sqrt(25)/sqrt(5) + 4*(sqrt(25)/sqrt(5))**2 + ((1*sqrt(720) - sqrt(720)) + -2)**2*1 + 2.
5*sqrt(5) + 31
Simplify ((-3 + (1 + sqrt(176) - sqrt(176))*2*-4)*-3*6 + -5)**2 + 0.
37249
Simplify (sqrt(320) + -3*2*sqrt(320) + -5*(-1 + sqrt(320)))**2 - ((-3*(sqrt(5) + -1) - (sqrt(5) + 0 + sqrt(320) + sqrt(5))) + 1).
-787*sqrt(5) + 32021
Simplify -5 + (((sqrt(1331) + (sqrt(1331) + -1)*6)**2 - (1 + (sqrt(1331) + 0 + sqrt(1331) + sqrt(1331))**2)) + (-5*(sqrt(1331) - (sqrt(1331) + 2)) + -4)**2)*-5.
-266560 + 4620*sqrt(11)
Simplify ((sqrt(931)*-3)**2 - (sqrt(19) + 0 + sqrt(19) + -3)) + (sqrt(684) + sqrt(684) + -1 - sqrt(684))**2 + (-1 + sqrt(1216) - sqrt(19)).
-7*sqrt(19) + 9066
Simplify (2 + 1 + 6*((2 + sqrt(1584))*-5 - sqrt(1584))*6*6)**2.
67091328*sqrt(11) + 2665164393
Simplify (((sqrt(304)*3 - sqrt(304))*6 - sqrt(304))*-3)**2 - -2*2*-4*sqrt(76).
-32*sqrt(19) + 331056
Simplify ((sqrt(153) + (sqrt(153) + sqrt(153)*3)*-5 + sqrt(153) + -3*sqrt(153)*1)/((sqrt(864)*4)/(sqrt(48)/(sqrt(24)/sqrt( | {
"pile_set_name": "DM Mathematics"
} |
to seven dps?
-0.0000901
What is -148.967 rounded to the nearest integer?
-149
Round 0.01275953 to four decimal places.
0.0128
Round 63549.9 to the nearest 1000.
64000
Round 70849550 to the nearest one hundred thousand.
70800000
What is 0.02830029 rounded to 2 decimal places?
0.03
What is -885.047 rounded to the nearest one thousand?
-1000
Round -89004100 to the nearest one million.
-89000000
What is -1256028.8 rounded to the nearest 100000?
-1300000
Round 0.01473837 to five decimal places.
0.01474
Round -0.00018672495 to six dps.
-0.000187
What is -20490362000 rounded to the nearest one million?
-20490000000
What is -303370000 rounded to the nearest 1000000?
-303000000
Round 5364149000 to the nearest 1000000.
5364000000
Round -2867359000 to the nearest one million.
-2867000000
What is 386.9749 rounded to the nearest integer?
387
Round -38.45288 to the nearest 10.
-40
Round -1926.16 to the nearest ten.
-1930
Round 0.00001316026 to six dps.
0.000013
Round -278473490 to the nearest 100000.
-278500000
Round 3.084386 to one dp.
3.1
What is 0.01639269 rounded to 4 decimal places?
0.0164
What is -0.6120694 rounded to 3 decimal places?
-0.612
Round 290223.77 to the nearest 100.
290200
What is -503.4709 rounded to the nearest one hundred?
-500
Round -0.71114216 to four decimal places.
-0.7111
What is -976.228 rounded to the nearest ten?
-980
Round -912278000 to the nearest 1000000.
-912000000
Round 26.89153 to 1 dp.
26.9
What is 20.048264 rounded to two dps?
20.05
What is 1.1540472 rounded to three decimal places?
1.154
What is 0.000003115015 rounded to 6 decimal places?
0.000003
Round -0.0000052083 to seven decimal places.
-0.0000052
What is 50319200 rounded to the nearest 100000?
50300000
What is -0.0000027362596 rounded to 6 decimal places?
-0.000003
What is 3314580000 rounded to the nearest one million?
3315000000
Round 0.00003042001 to six dps.
0.00003
What is -0.0015048813 rounded to six dps?
-0.001505
What is 37445.98 rounded to the nearest 10000?
40000
Round 71.65425 to two dps.
71.65
What is 0.289509 rounded to 2 decimal places?
0.29
Round -34579080 to the nearest one million.
-35000000
Round 0.0000730368 to 6 decimal places.
0.000073
What is -0.1506166 rounded to two decimal places?
-0.15
What is -5.379311 rounded to the nearest integer?
-5
Round -63.66 to the nearest ten.
-60
Round -0.0005093 to 5 dps.
-0.00051
What is 0.0001317526 rounded to 5 decimal places?
0.00013
What is 30.36108 rounded to the nearest ten?
30
Round 80682.2 to the nearest 10000.
80000
What is 418115.76 rounded to the nearest 100000?
400000
What is 115301200 rounded to the nearest 1000000?
115000000
Round 3297.989 to the nearest one hundred.
3300
What is 18557.078 rounded to the nearest 100?
18600
Round 0.00297945 to three dps.
0.003
What is 0.404343 rounded to three decimal places?
0.404
Round 0.01041882 to 4 dps.
0.0104
Round 0.00024471546 to 7 dps.
0.0002447
Round -0.0000512435 to 7 dps.
-0.0000512
Round 0.00121336 to 4 dps.
0.0012
What is -70.7391 rounded to the nearest integer?
-71
What is 0.0001917678 rounded to five dps?
0.00019
Round -1507500 to the nearest 10000.
-1510000
Round -4918370 to the nearest 1000000.
-5000000
Round -0.56498 to two dps.
-0.56
Round 132289.2 to the nearest ten thousand.
130000
Round 38.72079 to one dp.
38.7
What is -2799631 rounded to the nearest 1000?
-2800000
Round -605.363 to the nearest 100.
-600
What is -150.8046 rounded to 1 dp?
-150.8
What is 27726.499 rounded to the nearest 100?
27700
Round -0.46133044 to four decimal places.
-0.4613
What is -0.00006070612 rounded to 5 dps?
-0.00006
Round 12920170 to the nearest 1000000.
13000000
What is 41180.6 rounded to the nearest one hundred?
41200
Round -0.0000818156 to 6 dps.
-0.000082
Round 6719.57 to the nearest 1000.
7000
What is 33857600 rounded to the nearest 1000000?
34000000
What is 0.002442777 rounded to 6 dps?
0.002443
What is 15.77066 rounded to zero dps?
16
What is 94.10656 rounded to one decimal place?
94.1
Round -37.5331 to the nearest ten.
-40
Round -833.026 to the nearest ten.
-830
What is -20.024659 rounded to two decimal places?
-20.02
Round 0.235057 to 3 dps.
0.235
Round 52.67829 to two decimal places.
52.68
What is -0.00007998067 rounded to 5 decimal places?
-0.00008
Round -81550 to the nearest 1000000.
0
Round 0.005442252 to four decimal places.
0.0054
What is 1021949840 rounded to the nearest one million?
1022000000
What is 0.536536 rounded to three dps?
0.537
Round 9687020 to the nearest one million.
10000000
Round 0.0000099067 to 5 decimal places.
0.00001
What is -0.00475252 rounded to 5 dps?
-0.00475
What is -0.0016933 rounded to 4 decimal places?
-0.0017
What is 4.14654 rounded to 1 decimal place?
4.1
What is 137720.48 rounded to the nearest ten?
137720
What is -1155.357 rounded to the nearest 100?
-1200
What is 0.0004252355 rounded to 7 decimal places?
0.0004252
Round 2.91205 to 2 decimal places.
2.91
What is 8.910861 rounded to one decimal place?
8.9
Round 0.23112 to 1 decimal place.
0.2
What is -0.01208094 rounded to three dps?
-0.012
Round -4774.4227 to the nearest ten.
-4770
Round -295.985 to the nearest 10.
-300
What is -0.0005590522 rounded to 5 decimal places?
-0.00056
Round -8778.764 to the nearest 100.
-8800
Round -0.3557408 to four dps.
-0.3557
Round 48087330 to the nearest one million.
48000000
Round -0.29566 to 2 dps.
-0.3
What is -0.71849 rounded to one dp?
-0.7
What is -0.05253464 rounded to 5 decimal places?
-0.05253
What is -108439.9 rounded to the nearest 10000?
-110000
What is 2490192500 rounded to the nearest one hundred thousand?
2490200000
What is -13446800 rounded to the nearest 1000000?
-13000000
Round 29672.11 to the nearest ten.
29670
Round 4810.6358 to 0 decimal places.
4811
What is 0.0007117584 rounded to 5 decimal places?
0.00071
Round -9791.545 to the nearest one hundred.
-9800
Round -15.0903 to the nearest integer.
-15
Round 0.000001301684 to 7 dps.
0.0000013
Round 18594.17 to the nearest 10.
18590
Round 4712540 to the nearest ten thousand.
4710000
Round 306154800 to the nearest one million.
306000000
What is -0.00014315408 rounded to six dps?
-0.000143
Round 49286900 to the nearest 100000.
49300000
Round 275242.07 to the nearest one thousand.
275000
Round 9.16592 to 1 decimal place.
9.2
What is -18.42728 rounded to 1 dp?
-18.4
What is -0.004235921 rounded to four decimal places?
-0.0042
Round -30.5728 to 2 decimal places.
-30.57
Round 21344.43 to the nearest one hundred.
21300
What is 7718.2 rounded to the nearest ten?
7720
What is -14169400 rounded to the nearest 10000?
-14170000
What is -6.987162 rounded to three decimal places?
-6.987
Round 2029.911 to the nearest 10.
2030
What is 30.17366 rounded to 2 decimal places?
30.17
Round 5900642 to the nearest ten thousand.
5900000
Round -0.568468 to 3 decimal places.
-0.568
Round 13571.78 to the nearest 10.
13570
What is 3971.4414 rounded to 0 decimal places?
3971
Round -0.0032776369 to 4 decimal places.
-0.0033
Round -0.0010325 to 3 decimal places.
-0.001
What is -143.0614 rounded to the nearest integer?
-143
What is -0.000000378238 rounded to 7 decimal places?
-0.0000004
What is 0.00004476167 rounded to seven dps?
0.0000448
Round -0.6974637 to 2 decimal places.
-0.7
Round 4634.63 to the nearest 100.
4600
What is 4622960 rounded to the nearest one million?
5000000
Round -71.9706 to the nearest ten.
-70
What is 127790000 rounded to the nearest one million?
128000000
What is 182791000 rounded to the nearest 1000000?
183000000
Round -56085745 to the nearest 100000.
-56100000
What is -0.00000344942 rounded to 5 decimal places?
0
What is -328.19629 rounded to one dp?
-328.2
What is -0.0006155652 rounded to 7 dps?
-0.0006156
What is -0.003865132 rounded to 5 decimal places?
-0.00387
Round -76273800 to the nearest one million.
-76000000
What is -0.00000063287 rounded to 7 decimal places?
-0.0000006
What is -0.0000001430356 rounded to 7 decimal places?
-0.0000001
Round -50987150 to the nearest 100000.
-51000000
Round 532.1672 to the nearest integer.
532
What is 44.2417 rounded to 0 dps?
44
Round 0.1811099 to 2 decimal places.
0.18
What is -0.0003512997 rounded to four dps?
-0.0004
Round -0.73367 to 1 decimal place.
-0.7
Round 0.004714386 to 5 dps.
0.00471
Round 0.0001938435 to six dps.
0 | {
"pile_set_name": "DM Mathematics"
} |
- 214. Let g be w(8). What is the third derivative of 80*c**2 - 144*c**g + 226*c**6 + 94*c**2 + 47*c**2 wrt c?
27120*c**3
Let z(r) = -2776*r**2 - 684*r - 3. Let f(j) = 11099*j**2 + 2736*j + 11. Let s(b) = 3*f(b) + 11*z(b). What is the second derivative of s(p) wrt p?
5522
Let p(x) = x**3 + x**2 - 2*x. Let i be p(-2). Let q be 6/2 - (i - 0). Differentiate 14 + 2*w**3 - w**3 - 5*w**q - 5*w**3 with respect to w.
-27*w**2
Let u(j) be the first derivative of 404*j**6/3 + 738*j**2 + 1229. Find the second derivative of u(r) wrt r.
16160*r**3
Find the third derivative of 1646*s**2 - 3208*s**2 + 1020*s**3 + 1669*s**2 wrt s.
6120
Suppose 0 = -2*z + 3*i, -5*z = -8*z - i + 11. Suppose -4*p + 0 + 25 = -3*h, h - 9 = -z*p. What is the derivative of 202 + 27*u**p - 100 - 83 wrt u?
108*u**3
Let v(y) be the second derivative of -1433*y**8/56 + 335*y**4/12 - 18*y - 6. What is the third derivative of v(o) wrt o?
-171960*o**3
Let o = 8617 - 8615. Let g(u) be the first derivative of -3/2*u**4 + 0*u - 13/2*u**o + 1 + 0*u**3. What is the second derivative of g(h) wrt h?
-36*h
Let a(p) be the first derivative of 1279*p**4/4 - 2266*p**3 - 2001. What is the third derivative of a(l) wrt l?
7674
Let z be ((-10)/50 - (-22)/10) + 8. Let t be (1 - (3 - 4)) + 0. What is the derivative of z - 2*p**t + 7*p**2 + 3 - 7*p**2 wrt p?
-4*p
Let v(d) = -d**2 - 8*d + 36. Let b be v(-11). What is the third derivative of -32*f**b + 3*f**2 + 8*f**2 + 140*f**2 wrt f?
-192
Let c(k) be the third derivative of 53/6*k**3 + 1/60*k**5 + 1/24*k**4 + 0 - 2*k**2 + 4*k. What is the derivative of c(m) wrt m?
2*m + 1
Suppose 67 = 4*b + 5*d, -45*b = -46*b - 4*d + 3. What is the second derivative of -b - 267*n**3 + 267*n**3 - 171*n**4 + 3*n wrt n?
-2052*n**2
Let h(x) be the third derivative of 81*x**2 + 0 + 11/6*x**3 - 19/8*x**6 + 1/20*x**5 + 0*x + 0*x**4. What is the third derivative of h(t) wrt t?
-1710
Let a(s) be the first derivative of 4*s**5/5 + 3*s**4/4 + 40*s**2 - 2456*s - 1724. Differentiate a(b) with respect to b.
16*b**3 + 9*b**2 + 80
Let q(w) be the third derivative of 241*w**9/168 - w**7/210 + w**6/60 + w**5/60 - 1927*w**3/3 + w**2 + 133*w + 2. What is the third derivative of q(s) wrt s?
86760*s**3 - 24*s + 12
Suppose 73 = 5*d - 242. What is the first derivative of -26*f**4 + 548*f + 2*f**2 - d - 548*f wrt f?
-104*f**3 + 4*f
Find the second derivative of -3186*p**2 + 180*p + 24*p - 8 - 279*p wrt p.
-6372
Let a = 158 + -111. Find the second derivative of -71*s**3 - 18*s - a*s - 139*s**3 wrt s.
-1260*s
Let b = 4 - -1. Differentiate -b*a**2 - a**2 - 22*a + 14 + 45 - 33*a + 5*a**2 wrt a.
-2*a - 55
Let v(y) be the second derivative of -797*y**6/10 + y**4/12 + 5*y**3/2 + 4*y**2 + 3987*y. What is the third derivative of v(f) wrt f?
-57384*f
Let z(c) be the first derivative of 2635*c**2/2 + 6718*c - 9058. What is the derivative of z(x) wrt x?
2635
Let f(g) be the first derivative of 55 + 1/4*g**4 + 0*g**2 + 0*g**3 - 2*g**5 + 43*g. What is the first derivative of f(i) wrt i?
-40*i**3 + 3*i**2
Suppose 14 = 197*b - 196*b. Find the third derivative of -35*i**2 - 56*i**2 + 32*i**2 - b*i**3 wrt i.
-84
Find the third derivative of 107*c**4 - 390*c - 3049*c**2 + 390*c + 84*c**4 + 2*c**6 wrt c.
240*c**3 + 4584*c
Let p(l) = l**3 + 1. Let w be p(1). Find the second derivative of 44*k + 41*k**w - 34*k - 10*k**2 + 35*k**2 wrt k.
132
Let f(i) be the second derivative of -101*i + 0*i**5 + 2 + 0*i**3 + 265/2*i**2 + 1/12*i**4 + 1/6*i**6. Differentiate f(x) wrt x.
20*x**3 + 2*x
Let d be 4752/126 - (-4)/14. Let w = d + -11. What is the third derivative of -4*t**2 + 2*t**6 - w*t + 27*t wrt t?
240*t**3
Let x be (57/(-228))/(-2 + 147/78). Let z(d) be the second derivative of 0 + 7/2*d**3 + 0*d**2 - x*d**4 + 14*d. What is the second derivative of z(o) wrt o?
-52
Let l(u) = -u**3 - 8*u**2 - 12*u + 2. Let o be l(-7). Suppose d - o = -35. Find the third derivative of 16*k**2 + 7*k**d + k**2 - 13*k**6 wrt k.
-1560*k**3
Let r(h) = h + 2. Let p be r(-1). Let g be (p/(-1))/(2/(-10)). Find the second derivative of 4*w**4 + 3*w**4 - g*w**4 + 14*w wrt w.
24*w**2
Let r(g) = -2751*g**2 + 987*g. Let f(u) = -2738*u**2 + 987*u. Let i(d) = -5*f(d) + 4*r(d). Find the second derivative of i(z) wrt z.
5372
Let o(r) = 1612*r**3 + 100*r**2 - 25*r - 1225. Let g(t) = 403*t**3 + 24*t**2 - 6*t - 307. Let s(x) = 25*g(x) - 6*o(x). Find the first derivative of s(m) wrt m.
1209*m**2
Let r(p) = -14468*p + 18790. Let n(g) = 19285*g - 25055. Let l(d) = -8*n(d) - 11*r(d). What is the first derivative of l(a) wrt a?
4868
Let n(a) = a**3 + 7*a**2 - 8*a. Let j be n(4). Differentiate -68*o - 76*o + 51*o**3 + j*o - 53 with respect to o.
153*o**2
Let i(c) be the third derivative of -2041*c**6/120 + 269*c**4/24 + 58*c**2 - 3. Find the second derivative of i(v) wrt v.
-12246*v
Suppose 2*p = -o + 124, -120 = -o + 5*p - 8*p. Find the first derivative of 73 + 108 - 35*k**3 + o*k**3 - 43 wrt k.
291*k**2
Suppose 17*n - 745 = -184. What is the second derivative of -10*o + 14*o**2 + n*o + 0*o**2 + 7*o**2 wrt o?
42
Let c(m) be the third derivative of -17*m**7/70 - m**6/30 - 1633*m**4/6 + 737*m**2. Find the second derivative of c(d) wrt d.
-612*d**2 - 24*d
Suppose 5*f = 5*x - 5, 2*f - 5*x + 14 - 3 = 0. Find the second derivative of 49*g**2 - 153*g + 71*g**f - 21*g**2 wrt g.
198
Let c(p) be the second derivative of 27/4*p**5 + 0*p**4 + 32*p - 1/6*p**3 + 48*p**2 + 0. What is the second derivative of c(j) wrt j?
810*j
Let a(n) be the third derivative of -11*n**8/12 - n**5/12 - 29*n**3/3 - 1599*n**2. Find the third derivative of a(b) wrt b.
-18480*b**2
Find the second derivative of -2269*c - 903*c - 198*c - 736*c - 418*c - 1929*c**2 wrt c.
-3858
Find the first derivative of -i**4 - 12445 - 158734*i**3 + 79244*i**3 + 2*i**2 + 79365*i**3 wrt i.
-4*i**3 - 375*i**2 + 4*i
Find the third derivative of -12524*d**3 - 12*d**4 + 12523*d**3 - 818*d + 4*d**2 - 30*d**6 - 12*d**4 + 24*d**4 wrt d.
-3600*d**3 - 6
What is the third derivative of 1118*n**2 + 1570*n**2 - 4*n**6 + 562*n**2 - 406*n**5 + 526*n**2 wrt n?
-480*n**3 - 24360*n**2
Let n(w) be the second derivative of -703*w**3/6 - 1287*w**2/2 + 4*w + 5. What is the first derivative of n(s) wrt s?
-703
Let t = 15 - 17. Let y = t + 6. Find the third derivative of 0*o**2 + 4*o**2 + 14*o**y + 3*o**2 wrt o.
336*o
Let x(t) = t**2 + t + 1. Let j be x(0). Let i be 54*j*14/28. What is the first derivative of 204*c - 29 - i*c**2 - 204*c wrt c?
-54*c
Let w(g) be the first derivative of 115*g**4/2 - 962*g**3 + 1796. What is the third derivative of w(q) wrt q?
1380
What is the third derivative of -262*r**3 + 25*r**2 + 1101*r**3 + 17*r**2 + 29*r**2 + 856*r**3 wrt r?
10170
Let x(r) be the second derivative of -2*r + 14 + 1/6*r**4 + 0*r**2 + 5/6*r**3 - 11/20*r**5 + 0*r**6 + 1/6*r**7. What is the third derivative of x(k) wrt k?
420*k**2 - 66
Let q(h) = 425*h**2 - 20*h - 27. Let v(u) = -2*u**2 + u - 1. Let k(j) = q(j) + 6*v(j). What is the second derivative of k(l) wrt l?
826
Suppose -4*l = -4 + 12. Let j be ((-2)/l)/(3/6). Find the second derivative of 11*p - 9*p**2 + 21*p**2 - 21*p**j wrt p.
-18
Suppose 0 = -5*p + 164 + 406. Suppose -18 - 32 = -c - 4*v, -3*c - 3*v = -p. What is the third derivative of 336 - 336 - 22*k**3 + c*k**2 wrt k?
-132
Let z = 25 + -23. Suppose t = -5*o + o + 84, 3*o = -z*t + 58. Find the second derivative of -o*g**4 + 159*g**2 + 10*g - 159*g**2 - 5*g**4 wrt g.
-324*g**2
Suppose -366 = x - 368. Differentiate 7*g**2 + 0*g**2 - 47 - 9 - 2*g**x + 3*g**2 - 4*g with respect to g.
16*g - 4
Let g = -2063 + 2067. Let y(j) be the second derivative of 0 + 0*j**g + 28*j + 8/5*j**5 + 0*j**2 - 31/6*j**3. Find the second derivative of y(q) wrt q.
192*q
Let f(m) = -36. Let a(t) = -13. Let p(l) = -11*a(l) + 4*f(l). Let r(d) = -85*d - 132. Let i(q) = 4*p(q) - r(q). Differentiate i(y) with respect to y.
85
Let d be (-36)/(-20) + (-488)/305. Let l(h) be the first derivative of 0*h**4 - d*h**5 + h**2 + 0*h**3 + 0*h - 15. What is the second derivative of l(r) wrt r?
-12*r**2
Let o(h) = -16 + 4*h + h**2 + 5*h - 4*h. Let k be o(-8). What is the second derivative of -43*g + 10*g**5 + 17*g + k*g + 12*g wrt g?
200*g**3
Let j(t) be the first derivative of -819*t**4/2 - 1000*t - 2160. What is the derivative of j(q) wrt q?
-4914*q**2
Let p(u) be the | {
"pile_set_name": "DM Mathematics"
} |
iple of 2?
False
Let v = 26 + -16. Let m = v + 14. Is 8 a factor of m?
True
Let x(p) = -p**2 - 5*p + 12. Let a be x(-6). Is 18 + -5 - a/2 a multiple of 10?
True
Let d = 163 + -76. Let o = d - 50. Is o a multiple of 24?
False
Suppose 4*l - 5*j - 126 = 0, -3*l + 4*l - 4*j - 37 = 0. Is 2 a factor of l?
False
Suppose 4*h - 18 = h. Suppose o = -l - 8, l - 16 = -2*o + 4*o. Let i = h - o. Is i a multiple of 14?
True
Let z = 61 - 15. Is 15 a factor of z?
False
Let k = 214 + -94. Is 24 a factor of k?
True
Let a be 6/24 + (-29)/4. Let u = 27 + a. Does 20 divide u?
True
Suppose d - 5*d - 88 = -4*m, 3*d = m - 32. Is m a multiple of 2?
False
Let r be ((-30)/9)/(-5)*6. Suppose u = -r*f + 38 + 41, 58 = 3*f + u. Is 7 a factor of f?
True
Suppose -3*r = 2*r - 425. Does 17 divide r?
True
Let a(j) = j**3 + 5*j**2 + j - 1. Suppose -4*d + 15 = -9*d. Is 14 a factor of a(d)?
True
Is (-27)/(-1)*((-3)/(-1) - 2) a multiple of 8?
False
Let n(p) = 3*p**3 - 4*p**2 + 3*p + 4. Does 18 divide n(2)?
True
Suppose 0 = 4*p - 385 - 455. Does 12 divide p?
False
Let d = 87 - 71. Does 3 divide d?
False
Let d = -68 + 131. Does 7 divide d?
True
Let g(n) = n**3 - 4*n**2 - 5*n + 13. Is 25 a factor of g(7)?
True
Suppose 2*l + 90 = 7*l. Is 18 a factor of l?
True
Suppose 0 = -m + 7 - 2. Suppose m*r + 68 - 203 = 0. Is 8 a factor of r?
False
Suppose 3*k = 4*k + 5*t - 58, -3*k = -2*t - 208. Does 17 divide k?
True
Is 0 + 0 + 1/((-8)/(-224)) a multiple of 28?
True
Let m(l) = 8*l**3 - 5*l**2 - 4*l**3 - 3*l**3 - 8*l. Does 16 divide m(7)?
False
Let m be (-15)/5 + (1 - -6). Suppose 0 = -3*u - m - 2. Is 4*u/(-3)*3 a multiple of 4?
True
Let h = -148 - -208. Does 15 divide h?
True
Let t(v) = 1. Let z(a) = a**2 + 3*a - 5. Let h(c) = t(c) + z(c). Let f(u) = -u**2 - 6*u + 9. Let b be f(-8). Is h(b) a multiple of 11?
False
Let h = -13 + 26. Is h even?
False
Let l be (1 - 1) + (5 - 1). Suppose 0*d = 4*d - 280. Suppose 0 = l*b - d + 6. Is b a multiple of 8?
True
Let h be 1/2 - 12/24. Does 4 divide -14*(-3 + 2) + h?
False
Suppose 0 = -2*j - 2*j + 2*c + 742, -4*c - 736 = -4*j. Does 57 divide j?
False
Let u = -4 + 7. Suppose -u*k + 7 = -77. Is k a multiple of 14?
True
Let l(x) = -33 - 4*x + 24 + 0*x. Is l(-6) a multiple of 11?
False
Let d be (-2)/6*0 + 0. Suppose -n - 2*n - w + 4 = d, 0 = -3*w - 6. Is 2 a factor of n?
True
Let p(f) = f**3 + 2*f**2 + 253. Is p(0) a multiple of 56?
False
Let n = -65 + 75. Is 3 a factor of n?
False
Let z be (-2 - (-1)/(-4))*-4. Suppose 6*f = 2*f + 12. Suppose z = -f*u + 123. Is 15 a factor of u?
False
Let u(b) = 2*b + 16*b**2 + 2*b**3 - 6*b**2 - b**3 - 7. Let o be u(-9). Let m = o - 40. Does 8 divide m?
True
Suppose 4*g - 5*p - 783 = 0, 593 = 5*g - 2*g + 2*p. Suppose -3*k - v + 73 = 0, -5*v - g = -4*k - 68. Is k a multiple of 14?
False
Let u = -20 - -1. Let o be -1 + (-5)/(15/18). Let z = o - u. Is 6 a factor of z?
True
Suppose -325 = -w - 4*w. Let g = w - 38. Is g a multiple of 11?
False
Let j(h) = -3*h**2 + 2*h + 1. Let w(y) = -5*y**2 + 3*y + 2. Let n(s) = -7*j(s) + 4*w(s). Is 15 a factor of n(5)?
False
Suppose 50 = 4*d - 26. Does 19 divide d?
True
Let w = 169 + -45. Suppose -1 = 3*r - w. Is r a multiple of 16?
False
Suppose 137 = 5*i - 2*l, -3*i + 5*l + 83 = -3. Let r be 1 + (2 - 1) - -55. Let g = r - i. Is 15 a factor of g?
True
Let x(a) = a**2 - 5*a + 7. Is 8 a factor of x(6)?
False
Let x(l) = -10*l + 2. Suppose 0 = -3*o - 5*w - 26, 3*o + 8 + 12 = w. Does 24 divide x(o)?
True
Let c = 37 - -23. Is 12 a factor of c?
True
Let j(d) = -9 - 3*d + 5*d - 2. Let t(r) = -9*r**3 - 2*r**2 + 1. Let i be t(-1). Does 5 divide j(i)?
True
Let g(d) = 54*d - 2. Let j be g(1). Let l = j - 12. Does 16 divide l?
False
Let r(q) = -q**2 + 7*q + 2. Let i(z) = z**2 - 6*z - 3. Let g(x) = -2*i(x) - 3*r(x). Does 3 divide g(10)?
False
Let b(o) = o**3 + 4*o**2 - 3. Let k be b(-3). Suppose -4*q + k*q - 14 = 0. Is q a multiple of 2?
False
Suppose -6 = -3*w + 3*j - 0, 3*w + j + 6 = 0. Let d(b) = -5*b - 1. Let p be d(w). Suppose -z = -p*a + 2*z + 15, -2*z + 12 = a. Is a a multiple of 6?
True
Let a = -45 + 116. Is 15 a factor of a?
False
Let w(l) = -15*l + 2. Let a be w(-6). Let r = a + -41. Is 11 a factor of r?
False
Suppose -7 = -5*j - o, o - 1 = -j - 2. Suppose f - j = -0*f. Suppose -85 = -f*w - t - 0*t, 0 = 3*w - 4*t - 100. Does 14 divide w?
False
Suppose -3*k - 3*s = -12, -s + 20 = 3*s. Is 12 + -2 + 0 + k a multiple of 4?
False
Let m = -12 - -9. Let g = 27 + m. Is g a multiple of 10?
False
Suppose 4*a - x - 21 = 0, -1 = -2*a - 4*x + 23. Suppose a*r = 3*r - 3. Let v(y) = -14*y. Is 14 a factor of v(r)?
True
Suppose -4*m + 5*n + 29 = 0, -16 = -2*m + n - 3. Does 3 divide (10/15)/(1/m)?
False
Let n = -37 - -56. Is 10 a factor of n?
False
Let i(g) be the first derivative of -9*g**2/2 - 2*g - 2. Suppose 5*c = 2*d + 4 - 26, 3*d + 5 = -2*c. Is 16 a factor of i(c)?
False
Let a = 65 - 39. Is a a multiple of 13?
True
Suppose -216 = -5*m - 3*q + 5*q, -5*q - 183 = -4*m. Is m a multiple of 6?
True
Suppose -11*d = -2*d - 315. Is 31 a factor of d?
False
Suppose 2*d + 5 = -27. Suppose -2 = 2*v + 16. Let s = v - d. Is s a multiple of 7?
True
Suppose 75 = 11*k - 6*k. Is 15 a factor of k?
True
Suppose -16*i - 105 = -21*i. Does 3 divide i?
True
Let y = 3 + 4. Let v(h) = -h**3 + 7*h**2 + h + 3. Let k be v(y). Suppose f - k = 2*l, -4*f - 5*l - 6 + 85 = 0. Does 6 divide f?
False
Let k = -22 + 126. Let s = 273 - k. Suppose s = 5*x + o, -x = -4*x - 3*o + 111. Is x a multiple of 24?
False
Suppose -4*b + 60 = 3*r - 15, 0 = b - 2*r - 27. Is 21 a factor of b?
True
Let j(t) = -t**2 - 11*t - 19. Is j(-6) a multiple of 7?
False
Suppose 27*k + 104 = 31*k. Is 4 a factor of k?
False
Suppose -516 = -4*i + 244. Is 1/4 + i/8 a multiple of 8?
True
Is 11 a factor of (-1 - -17)*16/4?
False
Let h(n) be the third derivative of -n**6/120 - n**5/15 - 5*n**4/24 - n**3/2 + 3*n**2. Does 16 divide h(-5)?
False
Let v(h) = h + 16. Let d be v(-13). Suppose 4*j + 2*k = 64, -2*j - d*k + 33 = 1. Is 16 a factor of j?
True
Is 4 a factor of ((-118)/4)/((-4)/40*5)?
False
Suppose 31 - 50 = -b. Is 19 a factor of b?
True
Let o be (-3)/2*12/(-9). Suppose 0*g - 2*p = -o*g + 24, -g + 10 = p. Is g a multiple of 6?
False
Suppose -w - 95 = -2*w + q, -5*w + 466 = 4*q. Is w a multiple of 19?
False
Let g = -76 - -128. Is 18 a factor of g?
False
Suppose 3*r = 34 + 302. Does 16 divide r?
True
Let f(d) = -4*d**2 - d + 4. Let b(j) = 8*j**2 + j - 7. Let s(i) = 3*b(i) + 5*f(i). Is s(-1) even?
False
Suppose 3*l = 7*l + 5*z - 22, -2*z + 1 = -l. Suppose 0 = 2*n - 1 + l. Is ((-2)/2)/(n/13) a multiple of 13?
True
Let y be ((-4)/(-3))/(-4)*123. Let a = 78 + y. Does 25 divide a?
False
Let r(u) = -2*u - 2. Let j be r(-6). Suppose -3*x + j = -x. Is 4 a factor of x?
False
Suppose -2*h + a + 52 = 3*a, 0 = h + 2*a - 25. Is h a multiple of 9?
True
Let i = 32 - 20. Is 6 a factor of i?
True
Let k be -3*(30/9 - 1). Let h(b) = -b**2 + 10*b - 8. Let w(j) = -4*j**2 + 30*j - 24. Let g(r) = k*h(r) + 2*w(r). Is g(-8) a multiple of 12?
True
Let o = 178 + -16. Is 18 a factor of o?
True
Suppose 0 = 22*u - 20*u - 240. Does 30 divide u?
True
Suppose -i = 2*i + 3*c - 153, 4*i = -5*c + 207. Is 12 a factor of i?
True
Is 10 a factor of -173*((-1)/((-2)/4))/(-2)?
False
Let b be 21/(-14) + (-9)/(-2). Suppose 126 = b*m - 0*m. Is 14 a factor of m?
True
Suppose -2*t + 10 = 2*n + n, 5 = 3*t + 2*n. Let r(u) = -39*u. Is 11 a factor of r(t)?
False
Suppose 7*u - 1338 = 384. Is u a multiple of 50?
False
Let s be (-4)/(-10) - 44/10. Let k(m) = -14*m. Let v be k(s). Let b = v + -30. Does 11 divide b?
False
Let q(w) = -3*w + 4. Let m be -3*(-3 + 2 - -2). Does 4 divide q(m)?
False
Let x(k) be the first derivative of -5/3*k**3 + k**2 + 1/2*k**4 + k + 1. Is x(3) a multiple of 9?
False
Suppose -3*p = 2*p + 80. Suppose 6*i + 180 = i. Let l = p - i. Is 10 a factor of l?
True
Let r(s) = -s**3 - 4*s**2 - 2*s + 5. Suppose -2*v - 20 = 2*v. Is r(v) a multiple of 15?
False
Let i(f) be the second derivative of -5*f**3/2 - 2*f**2 - 2*f. Let h(z) = 29*z + 8. Let p(v) = 6*h(v) + 11*i(v). Is 13 a factor of p(4)?
False
Suppose -20 - 44 = -2*p. Let a = p - 16. Is a a multiple of 16?
True
Let g = -73 - -160. Let f = g - 43. Let x = -23 + f. Is 7 a factor of x?
True
Let x(n) = -n. Let k be x(-6). Suppose k = -0*h + 2*h. Is 36/8*4/h a multiple | {
"pile_set_name": "DM Mathematics"
} |
mainder when 527 is divided by 67?
58
Calculate the remainder when 140 is divided by 47.
46
What is the remainder when 140 is divided by 63?
14
Calculate the remainder when 65 is divided by 23.
19
Calculate the remainder when 119 is divided by 49.
21
What is the remainder when 216 is divided by 120?
96
What is the remainder when 4107 is divided by 79?
78
What is the remainder when 3186 is divided by 319?
315
What is the remainder when 39448 is divided by 383?
382
Calculate the remainder when 819 is divided by 64.
51
What is the remainder when 1733 is divided by 1702?
31
What is the remainder when 3145 is divided by 1567?
11
Calculate the remainder when 5294 is divided by 4.
2
What is the remainder when 151 is divided by 37?
3
What is the remainder when 25 is divided by 9?
7
What is the remainder when 828 is divided by 52?
48
What is the remainder when 266 is divided by 147?
119
Calculate the remainder when 112 is divided by 38.
36
Calculate the remainder when 268 is divided by 35.
23
What is the remainder when 351 is divided by 119?
113
What is the remainder when 106 is divided by 16?
10
What is the remainder when 450 is divided by 11?
10
What is the remainder when 179 is divided by 8?
3
What is the remainder when 72 is divided by 15?
12
Calculate the remainder when 86 is divided by 22.
20
Calculate the remainder when 165 is divided by 25.
15
What is the remainder when 88 is divided by 18?
16
Calculate the remainder when 1053 is divided by 73.
31
What is the remainder when 237 is divided by 61?
54
What is the remainder when 1623 is divided by 64?
23
What is the remainder when 2447 is divided by 70?
67
Calculate the remainder when 376 is divided by 54.
52
What is the remainder when 85 is divided by 85?
0
Calculate the remainder when 225 is divided by 69.
18
Calculate the remainder when 294 is divided by 72.
6
Calculate the remainder when 268 is divided by 74.
46
What is the remainder when 532 is divided by 44?
4
Calculate the remainder when 253 is divided by 20.
13
Calculate the remainder when 178 is divided by 85.
8
What is the remainder when 1674 is divided by 1660?
14
What is the remainder when 3947 is divided by 71?
42
Calculate the remainder when 7 is divided by 7.
0
What is the remainder when 808 is divided by 58?
54
What is the remainder when 292 is divided by 113?
66
Calculate the remainder when 775 is divided by 262.
251
Calculate the remainder when 72 is divided by 45.
27
Calculate the remainder when 704 is divided by 33.
11
Calculate the remainder when 18797 is divided by 200.
197
What is the remainder when 61 is divided by 6?
1
Calculate the remainder when 1648 is divided by 3.
1
Calculate the remainder when 2378 is divided by 182.
12
What is the remainder when 110 is divided by 36?
2
What is the remainder when 34 is divided by 20?
14
Calculate the remainder when 112 is divided by 19.
17
Calculate the remainder when 675 is divided by 20.
15
Calculate the remainder when 1009 is divided by 996.
13
Calculate the remainder when 2208 is divided by 54.
48
Calculate the remainder when 20 is divided by 11.
9
Calculate the remainder when 3180 is divided by 8.
4
What is the remainder when 52 is divided by 7?
3
What is the remainder when 201 is divided by 16?
9
What is the remainder when 92 is divided by 42?
8
Calculate the remainder when 156 is divided by 138.
18
What is the remainder when 133 is divided by 32?
5
Calculate the remainder when 2508 is divided by 2489.
19
Calculate the remainder when 3953 is divided by 7.
5
What is the remainder when 179 is divided by 94?
85
Calculate the remainder when 15 is divided by 3.
0
Calculate the remainder when 809 is divided by 210.
179
Calculate the remainder when 542 is divided by 186.
170
Calculate the remainder when 1054 is divided by 66.
64
Calculate the remainder when 2353 is divided by 62.
59
What is the remainder when 1436 is divided by 81?
59
Calculate the remainder when 464 is divided by 31.
30
What is the remainder when 61 is divided by 5?
1
What is the remainder when 320 is divided by 163?
157
Calculate the remainder when 240 is divided by 22.
20
Calculate the remainder when 430 is divided by 73.
65
Calculate the remainder when 45 is divided by 3.
0
What is the remainder when 6170 is divided by 1539?
14
Calculate the remainder when 1269 is divided by 19.
15
Calculate the remainder when 15551 is divided by 47.
41
What is the remainder when 256 is divided by 31?
8
Calculate the remainder when 954 is divided by 80.
74
Calculate the remainder when 9117 is divided by 94.
93
Calculate the remainder when 25 is divided by 1.
0
What is the remainder when 151 is divided by 11?
8
What is the remainder when 206 is divided by 18?
8
What is the remainder when 10581 is divided by 216?
213
Calculate the remainder when 3094 is divided by 36.
34
Calculate the remainder when 303 is divided by 12.
3
What is the remainder when 149 is divided by 19?
16
Calculate the remainder when 550 is divided by 219.
112
What is the remainder when 254 is divided by 7?
2
Calculate the remainder when 343 is divided by 42.
7
Calculate the remainder when 8 is divided by 2.
0
What is the remainder when 137 is divided by 50?
37
Calculate the remainder when 234 is divided by 209.
25
Calculate the remainder when 321 is divided by 144.
33
Calculate the remainder when 4898 is divided by 14.
12
Calculate the remainder when 319 is divided by 12.
7
Calculate the remainder when 174 is divided by 91.
83
What is the remainder when 379 is divided by 97?
88
Calculate the remainder when 307 is divided by 27.
10
Calculate the remainder when 664 is divided by 224.
216
What is the remainder when 2028 is divided by 169?
0
Calculate the remainder when 69990 is divided by 101.
98
What is the remainder when 1338 is divided by 1338?
0
What is the remainder when 492 is divided by 167?
158
Calculate the remainder when 163 is divided by 24.
19
What is the remainder when 184 is divided by 21?
16
Calculate the remainder when 45 is divided by 17.
11
Calculate the remainder when 911 is divided by 449.
13
Calculate the remainder when 1533 is divided by 26.
25
What is the remainder when 181 is divided by 26?
25
What is the remainder when 757 is divided by 39?
16
What is the remainder when 1225 is divided by 609?
7
Calculate the remainder when 62679 is divided by 20.
19
What is the remainder when 1203 is divided by 21?
6
What is the remainder when 63 is divided by 34?
29
What is the remainder when 430 is divided by 12?
10
What is the remainder when 3443 is divided by 13?
11
Calculate the remainder when 258 is divided by 65.
63
What is the remainder when 635 is divided by 108?
95
What is the remainder when 83 is divided by 42?
41
What is the remainder when 1040 is divided by 504?
32
Calculate the remainder when 3303 is divided by 174.
171
Calculate the remainder when 353 is divided by 51.
47
Calculate the remainder when 468 is divided by 124.
96
What is the remainder when 2751 is divided by 16?
15
Calculate the remainder when 1279 is divided by 12.
7
Calculate the remainder when 634 is divided by 81.
67
What is the remainder when 106 is divided by 20?
6
What is the remainder when 594 is divided by 20?
14
Calculate the remainder when 251 is divided by 72.
35
What is the remainder when 305 is divided by 58?
15
Calculate the remainder when 369 is divided by 89.
13
What is the remainder when 10437 is divided by 73?
71
What is the remainder when 278 is divided by 94?
90
What is the remainder when 110 is divided by 16?
14
What is the remainder when 995 is divided by 37?
33
Calculate the remainder when 114 is divided by 60.
54
Calculate the remainder when 21 is divided by 12.
9
What is the remainder when 12700 is divided by 16?
12
What is the remainder when 375 is divided by 6?
3
What is the remainder when 51 is divided by 15?
6
What is the remainder when 270 is divided by 91?
88
Calculate the remainder when 316 is divided by 27.
19
Calculate the remainder when 2594 is divided by 22.
20
Calculate the remainder when 438 is divided by 45.
33
What is the remainder when 151 is divided by 36?
7
Calculate the remainder when 568 is divided by 13.
9
Calculate the remainder when 4998 is divided by 1664.
6
Calculate the remainder when 35 is divided by 20.
15
Calculate the re | {
"pile_set_name": "DM Mathematics"
} |
millions digit of 17863264?
1
What is the units digit of 93573510?
0
What is the hundreds digit of 1286083970?
9
What is the hundred thousands digit of 154012143?
0
What is the tens digit of 16700490?
9
What is the hundred millions digit of 3091763360?
0
What is the ten millions digit of 30126741?
3
What is the billions digit of 1083083861?
1
What is the tens digit of 4501532?
3
What is the millions digit of 458509983?
8
What is the ten millions digit of 46752352?
4
What is the hundreds digit of 289287642?
6
What is the units digit of 24730420?
0
What is the millions digit of 1541899314?
1
What is the thousands digit of 173818495?
8
What is the millions digit of 19112464?
9
What is the ten millions digit of 5504451245?
0
What is the tens digit of 88909653?
5
What is the millions digit of 74976998?
4
What is the millions digit of 33826758?
3
What is the billions digit of 1152037300?
1
What is the hundred millions digit of 5430251860?
4
What is the millions digit of 1404647?
1
What is the tens digit of 1516857203?
0
What is the billions digit of 3673933806?
3
What is the tens digit of 471990409?
0
What is the billions digit of 6231995709?
6
What is the billions digit of 6083543050?
6
What is the thousands digit of 33153649?
3
What is the hundred millions digit of 461594763?
4
What is the hundreds digit of 89828750?
7
What is the billions digit of 1295892966?
1
What is the units digit of 4063235679?
9
What is the units digit of 134977863?
3
What is the thousands digit of 183709102?
9
What is the thousands digit of 461164408?
4
What is the tens digit of 803457511?
1
What is the units digit of 96816443?
3
What is the millions digit of 83928712?
3
What is the ten millions digit of 419606897?
1
What is the billions digit of 3597213957?
3
What is the tens digit of 4230404?
0
What is the hundred thousands digit of 34815721?
8
What is the units digit of 3418649?
9
What is the hundreds digit of 154830994?
9
What is the units digit of 24162635?
5
What is the ten millions digit of 3021799324?
2
What is the ten thousands digit of 78450304?
5
What is the hundreds digit of 28188842?
8
What is the millions digit of 536251774?
6
What is the hundreds digit of 729163649?
6
What is the hundred thousands digit of 76560499?
5
What is the billions digit of 1604705797?
1
What is the hundred thousands digit of 3648383965?
3
What is the millions digit of 7836456?
7
What is the hundred millions digit of 1030797794?
0
What is the hundred millions digit of 2572944327?
5
What is the ten thousands digit of 3084515211?
1
What is the hundreds digit of 683821143?
1
What is the ten millions digit of 464870559?
6
What is the thousands digit of 3590587?
0
What is the hundreds digit of 2748762298?
2
What is the ten millions digit of 4758253356?
5
What is the tens digit of 58957494?
9
What is the units digit of 37502436?
6
What is the ten thousands digit of 1919497623?
9
What is the thousands digit of 15277890?
7
What is the tens digit of 33906763?
6
What is the ten millions digit of 569021130?
6
What is the tens digit of 1641799614?
1
What is the ten thousands digit of 293481074?
8
What is the thousands digit of 43911498?
1
What is the units digit of 436098745?
5
What is the ten thousands digit of 94552315?
5
What is the units digit of 258623900?
0
What is the tens digit of 152555561?
6
What is the tens digit of 5881651854?
5
What is the tens digit of 30325446?
4
What is the hundreds digit of 1979675960?
9
What is the units digit of 3020523433?
3
What is the hundred millions digit of 4225996941?
2
What is the millions digit of 10263148?
0
What is the units digit of 16414995?
5
What is the tens digit of 558423577?
7
What is the millions digit of 1552686642?
2
What is the ten millions digit of 1264075245?
6
What is the thousands digit of 484855483?
5
What is the ten thousands digit of 661820493?
2
What is the hundred thousands digit of 189839535?
8
What is the thousands digit of 54079962?
9
What is the ten millions digit of 48771045?
4
What is the millions digit of 651646886?
1
What is the units digit of 214950801?
1
What is the units digit of 132756319?
9
What is the hundred thousands digit of 61607752?
6
What is the ten thousands digit of 18065737?
6
What is the ten thousands digit of 21666487?
6
What is the hundred thousands digit of 30735773?
7
What is the tens digit of 3075924568?
6
What is the ten millions digit of 61172342?
6
What is the millions digit of 48218634?
8
What is the hundreds digit of 1344722527?
5
What is the hundred thousands digit of 43444335?
4
What is the millions digit of 1221677416?
1
What is the units digit of 470187834?
4
What is the hundred thousands digit of 70645453?
6
What is the thousands digit of 76556646?
6
What is the ten millions digit of 41687520?
4
What is the millions digit of 4842039490?
2
What is the thousands digit of 18000018?
0
What is the hundred millions digit of 1812785634?
8
What is the hundred thousands digit of 469663174?
6
What is the hundred millions digit of 3686921548?
6
What is the tens digit of 175006076?
7
What is the ten thousands digit of 44802004?
0
What is the ten thousands digit of 127821887?
2
What is the units digit of 888467944?
4
What is the tens digit of 991004035?
3
What is the thousands digit of 551415562?
5
What is the millions digit of 17700780?
7
What is the hundreds digit of 9416403?
4
What is the hundreds digit of 256912133?
1
What is the tens digit of 139889187?
8
What is the ten thousands digit of 135517443?
1
What is the thousands digit of 140261578?
1
What is the thousands digit of 27818556?
8
What is the hundreds digit of 1520487362?
3
What is the hundred millions digit of 150277845?
1
What is the hundred millions digit of 5810469360?
8
What is the millions digit of 76904261?
6
What is the hundred thousands digit of 55851889?
8
What is the thousands digit of 8158164722?
4
What is the thousands digit of 279507798?
7
What is the ten thousands digit of 1362795622?
9
What is the units digit of 92445781?
1
What is the millions digit of 770989584?
0
What is the ten millions digit of 734427262?
3
What is the millions digit of 608225736?
8
What is the millions digit of 1059507049?
9
What is the tens digit of 36093458?
5
What is the tens digit of 94635321?
2
What is the tens digit of 32504842?
4
What is the units digit of 35231105?
5
What is the hundred thousands digit of 5247355574?
3
What is the tens digit of 3907496?
9
What is the hundred thousands digit of 410970637?
9
What is the units digit of 1134945753?
3
What is the ten millions digit of 27032560?
2
What is the hundred thousands digit of 81726313?
7
What is the units digit of 10453179?
9
What is the hundred millions digit of 734969969?
7
What is the thousands digit of 38167934?
7
What is the hundreds digit of 58875660?
6
What is the units digit of 1641039105?
5
What is the ten millions digit of 153564507?
5
What is the hundreds digit of 5769266041?
0
What is the tens digit of 2366489488?
8
What is the thousands digit of 6436086539?
6
What is the hundred millions digit of 2397176531?
3
What is the units digit of 566798057?
7
What is the thousands digit of 8710691444?
1
What is the hundred thousands digit of 530826144?
8
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3
What is the ten millions digit of 87844410?
8
What is the hundreds digit of 1528713827?
8
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2
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6
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3
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5
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0
What is the billions digit of 2295981032?
2
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7
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0
What is the thousands digit of 11789855?
9
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1
What is the ten millions digit of 285604934?
8
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3
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7
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5
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2
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1
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3
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3
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8
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4
What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
-h + 2*h - 7 = 5*f, -5*h = f + j for f.
-2
Let x = 53 + -33. Suppose -9 = -3*c + 6. Let f(w) = 6*w + 286. Let g be f(-47). Solve -6*b + 2*b + x = -4*y, g*b - 21 = c*y for b.
4
Let z be (-30)/(-48)*-10*12/(-3). Solve 0*r - 5*r = z, 0 = 3*d - 4*r - 35 for d.
5
Let b(i) = -23*i**2 + 11*i**2 + 5*i**2 - 8*i - 43 + 8*i**2. Let g be b(12). Solve 2*f = 4*o - 26, -4*o + 2*f = 7*f - g for o.
5
Let t be 9/(-6)*(-24)/18. Solve -2*n - 2*w - 6 = 0, 2*n + t*w + 10 = -2*n for n.
-2
Let o = 139 + -94. Suppose r - 6*r + o = 0. Solve 5*c + x - 4 = -13, 2*c - 5*x = -r for c.
-2
Let t = 75 - 41. Suppose 41 = 11*d - 8*d - 2*y, 2*y - t = -2*d. Solve -4*h + 21 = 5*v - 24, -2*v + d = h for h.
5
Suppose 2*c - 7 = -13. Let r be c/(-2) + (-12)/(-8). Solve 4*i + 3*t + 18 = 2*t, -5*i - 26 = r*t for i.
-4
Let d = -12 + 16. Solve 0 = -d*y + 4*s - 16, -3*y - s - 22 = -6*s for y.
1
Let k(c) = -c**3 - 17*c**2 + 2*c + 38. Let r be k(-17). Suppose r*g = -t - 2*t + 72, 2*t = 2*g - 36. Solve -3*n = 3*m - 21, -3*n + n + g = 3*m for n.
3
Let u(l) = 7*l - 7. Let t be u(4). Let p = t - 11. Let b = p - 8. Solve -2*a - 3*k - 1 = 0, b*k + 3 = -2*a + k for a.
-2
Let h(g) = -13*g**3 + 2*g**2 - 1. Let w be h(1). Let n be ((-16)/24)/(2/w). Suppose -n*z + 9*z = 0. Solve 4*a = -b - a + 15, z = -4*b + 2*a - 28 for b.
-5
Suppose 0 = -1000*q + 1007*q. Solve r - 5*r = -2*x - 8, q = 2*r - 4 for x.
0
Suppose -4*v = 5*g - 8, 11*v = 5*g + 8*v - 29. Solve -15 = -4*k + w, 2 = g*w + 14 for k.
3
Let i = -3 + 5. Let c = i + 1. Let x be ((-5)/(-20) - (-33)/12 - -5)*3. Solve 2*y = c*m - 20, 0 = 4*y + 2*m - 4*m + x for y.
-4
Suppose 2 = 2*a - 0. Suppose -41 = -10*o - a. Solve 3*l - 2 = n, 2*l + o*n = 17 + 3 for l.
2
Let i(y) = y - 3. Suppose -5*a = -2 + 27. Let w = a - -8. Let b be i(w). Solve b = -2*v - 0*v + j + 2, v + 4*j = 1 for v.
1
Let x(k) = k + 5. Let q be x(8). Let t(f) = -f**3 + 13*f**2 - f + 18. Let r be t(q). Solve -r*h + 20 = -4*w, 2*w = -h - 3*h + 16 for h.
4
Suppose -3*q = 5*d + 2, 0 = -3*d - 43*q + 48*q + 26. Let z(y) = y**3 + y**2 - y + 2. Let h be z(0). Solve -3*w = -b + 8 - 0, -h*w - d*b + 8 = 0 for w.
-1
Let z be (-4)/10 + (-12)/(-30). Suppose -3*g + 11 + 1 = z. Solve 0 = -2*f + 3*f + x - 4, 0 = g*f - x - 11 for f.
3
Let f = 353 - 348. Solve -p - w = 3*w - f, -3*p - 1 = -4*w for p.
1
Suppose 7 = -q - 3. Let p = q + 14. Suppose 3*y - y + p*m - 4 = 0, 2*m - 2 = 0. Solve 3*k - 16 = a, y*a = 2*a + 2 for k.
5
Let h = -41 - -19. Let z = h + 24. Solve 12 = -0*n + z*n + y, 5*n - 23 = y for n.
5
Suppose t = -2*g - 17, -5*t - 64 = 3*g - 0*g. Let y(d) = d**2 + 12*d + 14. Let n be y(t). Solve -12 = -5*x + n*m - 0*m, 2*m = -2*x - 8 for x.
0
Let q be (-12)/54 - 38/(-9). Solve -6 = 2*b, 2*x + q*b + 17 + 3 = 0 for x.
-4
Let k(z) be the first derivative of -z**2 - 14*z + 6. Let v be k(-7). Suppose -5*t + v*t = -10. Solve 2*n + 22 = 5*o - n, -t*o - 5*n = -15 for o.
5
Suppose s = -5*p + 30, p = 2*s - 3 + 9. Solve -p = 2*v - 5*k, 0*v = v - 4*k + 3 for v.
-3
Suppose 59 + 37 = -12*k. Let d = -275 + 191. Let j be d/(-16) - (-2)/k. Solve b - j*m + 9 = 35, -4*b + 29 = -5*m for b.
1
Let y(x) = -x**3 - 16*x**2 + 17*x + 14. Let g be y(-17). Let c = 42 - g. Solve -3*h - 20 = -4*k, 5*h = 3*k + k - c for h.
-4
Let r = 116 - 199. Let v = r - -118. Solve v = 3*a + 5*p, 4*a - 2*p = -3*p + 24 for a.
5
Suppose -k = 2*y - 1, 5*y + 0 = 2*k - 2. Let t = 1 + 1. Let r be (-21)/(-9) + 2/3. Solve -3*f = t*v - y - r, 0 = -v for f.
1
Suppose -11*q = 12*q - 115. Solve 2*p = 4*d - 0*d - 8, -9 = q*p + d for p.
-2
Let f(c) = -4*c - 6. Let s(h) = -3*h + 32 - h + 2*h - 26. Let l be s(5). Let p be f(l). Solve 1 = 3*y - 3*u + 5*u, 5*y - 5*u - p = 0 for y.
1
Let s(a) = -a**2 + 6*a + 7. Let f be s(5). Let m = 14 - f. Suppose -3*i = -5*h - 7, 0 = -0*i + m*i - 2*h - 6. Solve -i = 2*q + j, -j = q + 2*j - 8 for q.
-4
Suppose 0 = -27*b + 26*b + 6. Solve -3*c = -3*l + b, 3*c = -l + 3*l - 6 for l.
0
Suppose 64 = 2*t + 88. Let a be (-2 - 16/t)*-3*2. Solve 5*k - a*l + 14 = -11, 25 = -5*k + l for k.
-5
Let p be (1*8)/(2/3). Suppose -4*g = -u + 5 + 3, 5*u - 18 = -2*g. Suppose -u*d - p = -8*d. Solve 3*c = i - 7, 9 = -3*c + d for i.
1
Suppose 5*d = -2*t + 96, 11*t + 106 = 5*d + 8*t. Solve -r + d = 5*a, -10 = -4*r + 2*r for a.
3
Suppose 23 = 3*t - 37. Let u = -660 + 675. Suppose -h = 4*b - t, 2*b - 5*b = 5*h - u. Solve b*x = -p + 14, -2*x = 3*p - 0*p - 16 for p.
4
Let m = -16 - -16. Let t be -24*((-1)/2 - m). Suppose 4 = -4*z + t. Solve 4*n + 4*k = -24, -z*n + 0*n - 3*k = 17 for n.
-1
Let c = 609 - 595. Solve g - c = -5*w - g, -w + 7 = -g for w.
4
Suppose -a - 22 = -4*m, 4*m - 16 = 5*a - 2. Solve -4*p + 12 = 2*u, 3*u = -7*p + m*p - 2 for u.
-2
Let w(k) = 2*k - 4. Let h = 1 + 3. Let y be w(h). Suppose -y*n - 2*v + 5*v + 9 = 0, 0 = n - v - 2. Solve 3*j + 7 = j - 5*p, -3*p = n for j.
-1
Suppose 36*b + 47 = 191. Solve -b*y + 0*y + g = 20, -5*g = 0 for y.
-5
Let b be (-2)/(-9) - 34/(-9). Let f = 2801 + -2800. Solve -5*n + m = -5, -b*m + f = -19 for n.
2
Let f be 0 - -8 - (-14 - -19) - 1. Solve 5*m = -3*u + 40, 2*m + 2*u - 30 = -f*u for m.
5
Let i = -101 - -103. Solve 3*y = -s - 2*s, 4*y = i*s + 6 for y.
1
Let h = 541 - 527. Solve y - 2*q - h = 2*q, -2*y = 2*q + 2 for y.
2
Let q(i) = 2*i - 9. Let o be q(4). Let n be -2 + o - (0 + -1). Let m be (8 + n)*(-10)/(-4). Solve -m = -5*d - 5*y, -13 = -3*d + 4*y - 39 for d.
-2
Let f(m) = m**2 - m + 3. Let n be f(3). Let v be (-2)/11 + 0 + 402/33. Suppose -34*l = -37*l + v. Solve 0*i - 2*c = -i - 5, -l*i - 3*c = n for i.
-3
Let k(p) = -14*p - 108. Let i be k(-8). Solve -i*l - 14 = y, -y + 0*l = -4*l - 10 for y.
-2
Suppose 41 = 5*r - 4. Let v be ((-21)/6)/((-2)/(-4)). Let g = v + r. Solve g*s + 2*o = 6*s - 8, 3*o + 12 = 0 for s.
0
Suppose 2*b - 7*b + 2 = s, 3*s - 6 = -2*b. Solve 4*u + 3*i + 4 = 0, s*u + i - 2 + 4 = 0 for u.
-1
Suppose -5*h = 4*i - 2*i + 50, 0 = -4*i - 3*h - 86. Let a be (-1)/(-4) + (-15)/i. Let z be (2/4)/a*4. Solve -3*s = -v - 11, -5*v - z*s + 25 = -s for v.
4
Suppose 2*m - 29 = -6*x + x, 4*m = 4*x - 12. Solve 0 = 2*w - 7*w - 25, -4*z = -x*w - 29 for z.
1
Let c(h) = -1 + 2 + 2*h + 1. Let s be c(4). Let u(m) = 555*m + 1115. Let x be u(-2). Solve -2*g + 2 = -j, -x*g + 5*j + s = -0 for g.
0
Suppose -80*m = -45*m - 490. Solve -17 = 3*u - 2*c, -5*u - c - m = -2*u for u.
-5
Let h = 3 - 4. Suppose 2*v + 21 = 25. Let u be -3*(h/(-3) - v). Solve 5*j + 7 = 4*n - 15, n + u = -4*j for j.
-2
Let u = 28 + -28. Solve i + 2*x + 7 + u = 0, -2*i - 10 = 3*x for i.
1
Let i be (24/(-10) + 4)/((-2)/15). Let w be (-52)/(-12) + (-8)/i. Solve -3*t - 29 = -w*v, -4*v + 25 = -t - 2*t for v.
4
Let u(a) = 4*a. Let k be u(1). Let b = -5286 + 5288. Solve -4 = -2*c - b*o + k*o, -8 = 2*o for c.
-2
Suppose 5*j + 69 = -2*u - 0*j, -2*j - 120 = 3*u. Let p be u/28*(-64)/6. Solve p = 4*l + t, 3*t - 14 = -2 for l.
3
Suppose 3*a + 26 = -g - 0*g, -2*g - 2*a - 56 = 0. Let s = g + 31. Solve -f - 18 = 4*r, 2*f - 7*f - s*r = 0 for f.
2
Let m(j) = 3*j**2 - 17*j + 30. Let y be m(3). Solve -4*k + 3*o - 1 = 0, 6*k = 4*k - 4*o - y for k.
-1
Let x be (-6)/(-21) - (-440)/77. Solve 5*w + 22 = -2*i, 0 = -2*i - 5*w + 4*w - x for i.
-1
Let f(k) = -5*k - 6. Let t be f(-2). Solve 1 = 4*l - 3*i + t, -37 = -4*l - 5*i for l.
3
Let z(i) = -10*i**3 + 2*i + 2. Let m be z(-1). Suppose -m*a = -8*a - 10. Solve a = 3*x + 2*q + 20, q = 0 for x.
-5
Let d(n) = n**3 + 8*n**2 - 4*n - 17. Let q be d(-8). Solve 3*m = -3*v - q, 0*v - 2*m - 6 = -2*v for v.
-1
Let x = -205 - -211. Solve u + 2*r = -0*u + 3, -3*u + x = 5*r for u.
-3
Suppose -4*k + 2*w = 64, -44 = 3*k + k + 3*w. Let t(q) = 20*q**2 + 2*q + 1. Let g be t(-1). Let h = k + g. Solve -h*l = -l - o - 1, 2*l + 22 = -4*o for l.
-1
Let v be (-4)/(-54) + 6/(-81). Solve v = q + 3*x + 4, 5*q - x + 6*x = 0 for q.
2
Suppose -66*t - 30 = -72*t. Solve 5*a + t*q = 0, -2*a - 2*q - 2 = q for a.
2
Let u(b) = -b + 9. Let z be u(-9). Let v = z + -25. Let s(c) = -c**3 - 7*c**2 + 1. Let m be s(v). Solve 4*g - 2*g - 3*l = -m, l + 1 = g for g.
4
Let w = -17 - -22. Solve -5*b = -w*l - 2*b - 4, 4 = l - 3*b for l.
-2
Let o = -10 + -4. Let l be (-147)/o + (-2)/4. Let m = l + -5. Solve -4*z + 4 = -2*b - 2, z = -m*b - 26 for z.
-1
Suppose -5*b + 16*b - 11 = 0. Solve 2*k + 3 = -3*l - b, 6 = -5*l - 3*k for l.
0
Suppose 2 + 16 = 3*z. Let f be z/21 - 66/ | {
"pile_set_name": "DM Mathematics"
} |
60292, -104224?
-165542
What is next in -151, -1155, -2159, -3163?
-4167
What is next in 19, 159, 329, 541, 807, 1139, 1549?
2049
What is next in -81014, -162024, -243030, -324032, -405030, -486024, -567014?
-648000
What is next in 59, 104, 173, 266?
383
What is next in -13415, -26831, -40247, -53663?
-67079
What is the next term in 5, -32, -89, -172, -287, -440?
-637
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-2696
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-912058
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-417
What is next in 683, 2690, 6035, 10718?
16739
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18953
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-176
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-40342
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489
What is the next term in -83499, -83507, -83529, -83571, -83639, -83739, -83877?
-84059
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-1287
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-1153
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1828
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-68143
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21264
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-53545
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-772
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-26212
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3695
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-4047
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133165
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5724
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-10963
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-112601
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7384
What comes next: -106, -922, -3124, -7402, -14446, -24946, -39592?
-59074
What is the next term in -841, -3336, -7487, -13294, -20757?
-29876
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-3136
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-28608
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969127
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13887078
What is the next term in -2620, -2604, -2584, -2566, -2556?
-2560
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-1874
What is the next term in 50, -143, -840, -2293, -4754, -8475?
-13708
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-1361
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-33645
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5335
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5180
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984
What is the next term in -8, -98, -244, -446, -704?
-1018
What is next in -105850, -105848, -105846?
-105844
What is the next term in -1155, -4801, -10891, -19425, -30403, -43825?
-59691
What comes next: 1707, 1750, 1843, 2010, 2275, 2662?
3195
What is next in -22968, -22969, -22978, -23001, -23044, -23113, -23214?
-23353
What comes next: -987, 5, 997, 1989, 2981, 3973?
4965
What comes next: -235, -840, -1847, -3256?
-5067
What comes next: -2807, -5628, -8449, -11270, -14091?
-16912
What comes next: 46, 98, 168, 256, 362, 486?
628
What is next in -5146, -10274, -15400, -20524, -25646?
-30766
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5383
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5661
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10198
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38161
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1563002
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-5198
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39868
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22799
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-213519
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1647
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575333
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193
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-613580
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2230
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-11504
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-6110239
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-8375
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92958
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120041
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-9833
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-6760
What is next in 219, 382, 569, 792, 1063, 1394?
1797
What comes next: 148, 179, 210, 241?
272
What is next in -19929, -39788, -59647, -79506, -99365, -119224?
-139083
What is next in 2701923, 10807697, 24317321, 43230795, 67548119?
97269293
What is the next term in 34618, 34668, 34716, 34762, 34806, 34848?
34888
What is next in 12630, 12606, 12582, 12558, 12534?
12510
What is the next term in 4585, 4569, 4531, 4465, 4365, 4225?
4039
What comes next: -8156, -16276, -24404, -32540?
-40684
What is next in -2783, -2736, -2687, -2636, -2583, -2528?
-2471
What is next in 23986963, 23986964, 23986965, 23986966?
23986967
What comes next: -1420, -2386, -3364, -4360, -5380, -6430, -7516?
-8644
What comes next: -12104, -12102, -12102, -12104, -12108?
-12114
What comes next: -861, -2074, -3287, -4500?
-5713
What is next in -169, -358, -525, -664, -769?
-834
What comes next: -992, -1977, -2972, -3983, -5016, -6077, -7172, -8307?
-9488
What comes next: 905, 908, 907, 902, 893, 880?
863
What is next in 1547, 1567, 1589, 1613?
1639
What is next in 3123, 3139, 3155, 3171, 3187, 3203?
3219
What comes next: 141, 73, -39, -213, -467, -819, -1287, -1889?
-2643
What comes next: 1456, 2876, 4294, 5710, 7124, 8536, 9946?
11354
What is the next term in -842, -832, -832, -848, -886?
-952
What comes next: -269, -1041, -2327, -4121, -6417?
-9209
What comes next: -275, -242, -179, -80, 61?
250
What comes next: 83, 455, 1387, 3143, 5987?
10183
What is the next term in -48041, -48026, -47991, -47930, -47837?
-47706
What is the next term in 119380, 119382, 119384, 119386, 119388, 119390?
119392
What comes next: 389, 724, 1007, 1238?
1417
What is next in -137749, -550983, -1239705, -2203915?
-3443613
What comes next: -2739060, -2739062, -2739064, -2739066?
-2739068
What is next in -1228, -1207, -1152, -1045, -868, -603?
-232
What is the next term in 628856, 1257711, 1886566, 2515421, 3144276, 3773131?
4401986
What is the next term in 126528, 126530, 126532, 126534?
126536
What comes next: -33796, -135172, -304130, -540670, -844792, -1216496?
-1655782
What is next in 1177, 1187, 1255, 1411, 1685?
2107
What is the next term in -546528, -1093053, -1639578, -2186103, -2732628?
-3279153
What is next in -1767, -1808, -1849, -1890, -1931?
-1972
What is next in 53, 128, 183, 158, -7?
-372
What is next in 290, 1142, 2562, 4550, 7106, 10230, 13922?
18182
What is next in -714, -652, -568, -450, -286, -64, 228?
602
What comes next: -660, -406, -152?
102
What comes next: 187, 293, 485, 757, 1103, 1517?
1993
What comes next: 1407, 1414, 1427, 1446, 1471?
1502
What is next in 978, 3445, 7556, 13311?
20710
What comes next: 5294, 21176, 47648, 84710, 132362, 190604?
259436
What is the next term in -173, -289, -407, -527, -649, -773?
-899
What comes next: -245, -323, -363, -371, -353, -315?
-263
What is next in -717, -1514, -2377, -3306, -4301?
-5362
What is next in 5258, 10073, 14888, 19703?
24518
What is the next term in -680, -1344, -1980, -2576, -3120, -3600?
-4004
What is the next term in -31, -110, -335, -778, -1511, -2606, -4135?
-6170
What is next in -3221, -3247, -3275, -3305?
-3337
What is the next term in -17389, -34767, -52145, -69523, -86901?
-104279
What is next in -29745, -29747, -29749, -29751, -29753?
-29755
What is next in -31, -212, -371, -496, -575, -596, -547?
-416
What comes next: 104, 369, 790, 1367?
2100
What is next in -139728, -279454, -419180?
-558906
What comes next: -261, -586, -911, -1236, -1561?
-1886
What comes next: 562274, 562276, 562278, 562280, 562282? | {
"pile_set_name": "DM Mathematics"
} |
Let o = -0.4 + -0.6. What is the nearest to q in o, -2, 2?
o
Let z be (-3 - -2) + 2/6. Suppose -3 = 2*l + r, l - r + 3 = -0*l. Which is the nearest to z? (a) l (b) 0.4 (c) 2
b
Suppose -3*x + 5*f + 1 = 0, 13 = -x - 3*f - 2*f. Let h = -2 - -2. Let q = 0 - -1. Which is the nearest to q? (a) 1/6 (b) h (c) x
a
Let y = 2/1797 + -558877/8985. Let o = -62 - y. Let p = 0 - 1. Which is the closest to p? (a) o (b) -2/13 (c) -1/5
c
Let w = 51 + 7. Let l be w/(-8) + 2/8. Let k be (-2)/l - (-96)/(-140). Which is the closest to k? (a) 2 (b) -2 (c) -5/2
b
Let n = 0.64 - 0.14. What is the nearest to 2 in n, -5, -4?
n
Let f = 36 + -31. Which is the closest to 1? (a) -2/7 (b) f (c) 1/2
c
Let q = 0.03 - -0.47. Let f = q - -4.5. What is the nearest to -1/3 in 1, f, -4?
1
Let f = 0.07 - -0.13. Which is the closest to -0.1? (a) 3 (b) 2 (c) f
c
Let f = -4 + 6. Suppose -8 = -6*g + f*g. Let s be g/9 + 1/(-18). Which is the nearest to 1/2? (a) -0.3 (b) s (c) 3
b
Let d = 2 + -4. Let u = -3.4 + 0.9. Let l = -2 - u. Which is the nearest to 0? (a) -3 (b) d (c) l
c
Let s be (51/(-8))/((-18)/2). Let t = s + -3/8. What is the nearest to t in -2/21, 3, -3?
-2/21
Let j be 2/(-6*1/2). What is the nearest to j in 3, -1/5, -3?
-1/5
Let w = 6 + -1. Let k = -27.7 - -27.8. What is the nearest to 1 in w, -2, k?
k
Let p = 0.03 + -5.03. Suppose 3*l - 3*l = l. What is the nearest to l in p, 2/13, 2?
2/13
Suppose -3*g - 12 = -2*p, 12 = -g - 2*g - p. Let i be 3/(-5) - 124/(-140). Which is the nearest to 0.1? (a) g (b) -5 (c) i
c
Let u = 1 - 5/2. Which is the nearest to -2? (a) u (b) -0.19 (c) 4
a
Let t = 0.27 + 0.03. What is the nearest to -1 in 0.1, 0.03, t?
0.03
Let d be (-8)/6*(-72)/32. Suppose 7*q - 5*q - 5*m = -13, -d*q + m - 13 = 0. What is the nearest to -0.2 in -2/17, q, 0.3?
-2/17
Let m = 0.7 + -1. Let d(w) = w + 14. Suppose 3*i + 63 = -0*h - 4*h, -4*h - 2*i = 58. Let j be d(h). Which is the nearest to j? (a) m (b) 3 (c) -2/7
b
Let u = 10/37 - 292/259. What is the nearest to 1 in -1/2, 5, u?
-1/2
Suppose -5*t + 4 = -4*t. Suppose 0 = -g - t*u - 14, g + u = -4 - 4. Let k be g/4 + 1 + 1. Which is the nearest to k? (a) 5 (b) 4 (c) 0.4
c
Suppose 3 = 2*y + 5*s + 14, 4*s = -12. What is the closest to 0 in y, -5, 0.4?
0.4
Let x = -495/7 + 71. Let c = -12.8 - -13. What is the closest to x in c, -1, 2/5?
c
Let l = -0.4 + 0.1. Let r = -3.02 + 0.02. Let y = 0.22 - 0.02. Which is the closest to 0.1? (a) l (b) r (c) y
c
Let w = -1.77 - -1.87. Let z = -0.24 + -0.06. Let h = -0.1 - z. Which is the nearest to w? (a) 5 (b) -2/9 (c) h
c
Let q = 2.6 + -2. Let r = -0.26 - -0.46. Let o = q - r. Which is the nearest to 1? (a) 0 (b) o (c) 3
b
Let y = 0.1 + 0. Let k = -2.9 - y. Let p = -0.35 - -0.05. What is the nearest to 0 in p, k, -1?
p
Let v = 3 - 6. Let i = 1/12 - -5/12. What is the closest to i in v, 1/3, 1?
1/3
Let k(a) = -a**2 + 5*a - 5. Let m be k(2). What is the nearest to -0.1 in -3/4, -0.3, m?
-0.3
Let v = -0.22 - 0.08. Let j = -16 + 16.1. What is the closest to -2 in 3/5, v, j?
v
Let t(l) = -2*l - 8. Let z = -21 + 15. Let b be t(z). Let i be 20/(-28) - b/14. What is the nearest to i in 0.4, -1/5, 0.2?
-1/5
Let p = -1.7 - -2. Which is the nearest to 0? (a) -2 (b) 3 (c) p
c
Let x = 18 + -18.1. What is the nearest to x in -5, 4/3, -2/11?
-2/11
Let p = 518.6 + -479. Let x = 46 - p. Let q = x + -6. What is the nearest to -1 in q, 0.2, 4/3?
0.2
Let i(f) = 5*f. Let o be i(-1). What is the nearest to 0.2 in 5, o, 0?
0
Let c = 477/1645 - 1/235. What is the nearest to c in -1/3, -0.1, 1?
-0.1
Let g = 6 + -5.93. Let d = g - -0.33. Which is the nearest to 1/3? (a) -1 (b) -4 (c) d
c
Let g(c) be the second derivative of -3*c**5/10 - c**4/12 + c**3/2 + c**2 + c. Let p be g(-2). Let w be (-2)/p - 2/(-8). What is the closest to 2 in 5, 3, w?
3
Let k = 0.04 - 0.17. Let x = k - -0.33. Which is the closest to -2/5? (a) 3 (b) 5 (c) x
c
Let v be -2*(-3 + 1)/16. Let g = 3 - 2.8. Which is the nearest to v? (a) -1/11 (b) 0 (c) g
c
Let o = -4.2 + 4. Let j = -22 - -21. Which is the nearest to j? (a) o (b) 1 (c) -5
a
Let i = 1.8 + -2. Let y = -0.01 + -2.99. Let o = 7/2 + -4. What is the closest to o in y, i, 1?
i
Let b = -65 + 65. What is the nearest to b in 5, 1/2, 1.1?
1/2
Let r = -1 - -1. Suppose w - 3 = -3*k - 1, -4*k - 4*w + 8 = r. Which is the nearest to k? (a) -2/9 (b) 5 (c) -1/7
c
Let z(x) = -x**2 - 5*x - 6. Let g be z(-5). Let u = g + 6. Let l be 4*-1*(-2)/36. Which is the closest to u? (a) l (b) -5 (c) -2/3
a
Let j = 0.2 + -0.3. Let i be ((-447)/(-148) + -3)*2. Let b = -127/518 - i. What is the closest to 0 in -1/4, b, j?
j
Let v = 1.87 - -0.13. Let j = -7 - -11. Suppose -j = 2*i + 2. What is the nearest to 1 in -0.1, v, i?
v
Let g = 0.6 - 0.3. Let q = 6 - 6.2. What is the closest to -1/3 in 5, q, g?
q
Let y = 113.1 + -113. Which is the nearest to 2? (a) -0.2 (b) -6 (c) y
c
Let f = -0.1 + 0. Let t = 8 + -6. Which is the nearest to -2/11? (a) -3/2 (b) t (c) f
c
Let p = 1.94 - -0.06. Let o = p - 3.5. Let h = 2 + o. Which is the closest to -2/7? (a) 5 (b) -2/19 (c) h
b
Let v = 79.1 + -74. Let p = -5 + v. Let o = -4 + 0. What is the nearest to p in -0.1, 2/5, o?
-0.1
Let o(v) = -v - 3. Let j(k) = -4*k - 14. Let y(u) = -3*j(u) + 14*o(u). Let x be y(1). Let n = -0.08 - 3.92. Which is the nearest to -1? (a) n (b) x (c) -5
b
Let h be (3 - 2)/(-1)*4. Let q = h + -1. What is the nearest to -1 in 0.5, q, -0.1?
-0.1
Let j be 16/(-18)*6/(-4). What is the closest to -0.1 in 5, j, 0.2?
0.2
Suppose 12 = 5*w + 3*s + s, -3*s = 3*w - 9. Which is the nearest to w? (a) -4 (b) -0.4 (c) -3
b
Let z = 26 + -25.98. Let g = 0.06 + 0.94. What is the closest to g in z, -2/3, -0.1?
z
Let k = 1 - 0.7. What is the nearest to 0.1 in 3, k, -0.4?
k
Let q = 11 + -11.3. Let f = q - 0.7. What is the closest to -1 in 1, f, 0?
f
Let l = 4 - 12. What is the closest to l in -1, -0.5, 2/5?
-1
Suppose 9 = 9*u - 6*u. Let t = -1 + 1. What is the nearest to 2/7 in t, 1/2, u?
1/2
Let y = 49.86 - 50. Which is the nearest to 1? (a) y (b) 0.4 (c) 1/5
b
Suppose -4*i - 3 = 1. Let k = 2.3 - 2. Which is the closest to i? (a) k (b) -1 (c) -0.3
b
Suppose 3*m + 34 = 4*o, -4 + 0 = -2*m - 4*o. Let w be m/(-14) + (0 - 0). Suppose l = i - 8, 25 = 2*i - 3*l - 2*l. What is the nearest to 2 in -4, i, w?
w
Let y = 0.3 - 0. Let k(j) = -j**2 + 2*j + 4. Let h be k(3). Suppose -2*q = 3 - h. Which is the nearest to y? (a) q (b) 2 (c) -2/3
c
Let s = -39/5 + 8. Let k = -2 - -2.1. What is the closest to k in s, 3/2, 5?
s
Let x = 1.1 - 5.1. Let i = x + 4.2. What is the closest to -1 in 1/4, -3/2, i?
-3/2
Let h = -4 + 5. Which is the closest to h? (a) 0.5 (b) 3 (c) -0.4
a
Let t = 0.2 + -0.1. Let z = -3.9 - 0.1. What is the nearest to t in z, -0.5, -0.4?
-0.4
Let u be -15 + (4 + -2 - 1). Let z be (-3)/(-21) - (-9)/u. Which is the nearest to z? (a) -0.5 (b) -4 (c) 1/4
a
Let w be 0 - -1 - ((-6)/4 - -2). What is the closest to 0 in 4, -2/5, w?
-2/5
Let p = 4.6 + -5. Let m = 13.9 - 14. What is the nearest to 0 in 0.3, m, p?
m
Let b be 2/(-12) + (-3)/6. Let i = -1.8 - -2. What is the closest to i in b, -0.1, 3/7?
3/7
Let t = -0.75 + -0.25. Let q(m) = m**2 - 6*m + 3. Let r be q(6). Which is the closest to -1? (a) -1/2 (b) t (c) r
b
Let v = -10271/21 + 489. Let t be 12/44*(-6)/9. Which is the nearest to 2/9? (a) v (b) 5 (c) t
a
Let a be (1/5)/((-6)/15). Let f = -13 - -18. Let l = 12.1 + -12. What is the closest to l in f, 0.2, a?
0.2
Let l be 7/(-28)*24/(-15). Which is the closest to 0? (a) 0 (b) l (c) 2/9
a
Suppose 2*q - 7 = -3. Let t be 15/12 + -3 + q. Let p = -0.2 - -0.5. What is the closest to 1/2 in p, t, -2?
p
Suppose 3*i - 4*k = 16, k = -i - 0*k + 3. Suppose 5*t = 3*x - 3 + 6, 22 = i*x + 2*t. Let l = 0.2 + -0.1. Which is the nearest to 2/3? (a) l (b) x (c) -1
a
Let q = -3 - -9. Let r = -8 + q. What is the closest to -0.3 in 3, -0.4, r?
-0.4
Let l be (-2)/8 + (-17)/(-36). Let p be -3 + 8 + (-3 - -1). Which is the closest to 1? (a) l (b) p (c) -2
a
Let m = 17 + -16.55. Let j = m - 0.05. What is the closest to 1 in -0.2, -5, j?
j
Let p = 2 - 3. Let d be (-1017)/(-6)*p/39. Let l = 9/2 + d. What is the closest to -0.1 in 0.1, -1/2, l?
0.1
Let g be ((-98)/34)/(-1) - 3. Let t = - | {
"pile_set_name": "DM Mathematics"
} |
nd 22/3?
141
Let k be ((-4)/(-5))/((-2)/(-10)). Let m be 4/4 + 10 + -9. Suppose 3*v - k*v + 1 = -m*b, 24 = 2*b + 4*v. Calculate the lowest common multiple of b and 4.
4
Find the common denominator of 19/(-3)*(-1)/(623/(-28)) and (2/(-14))/((-1)/17).
1869
Suppose 4*a = -3*o + 1703, -a + 3*o + 421 = -o. Find the common denominator of (-10)/(-55) - a/(-22) and ((-294)/(-76) - 1) + -1.
38
Let q = -7343 - -88267/12. Let r be ((-30)/(-24) - 1) + 1507/(-6060). Let t = r - -5531/18180. Find the common denominator of q and t.
36
Let x = 143 + -154. What is the smallest common multiple of 11 and (24/(-10))/(x/((-220)/(-8)))?
66
Suppose -10 = 74*n - 76*n, -5*d = -5*n - 365. Calculate the least common multiple of 20 and d.
780
Suppose 2*w - 68 = 35*k - 39*k, 0 = -k + w + 14. What is the least common multiple of k and 266?
2128
Let p = -62 - -74. Suppose -p = 48*r - 52*r. Suppose r*w = -2*w + 5. What is the least common multiple of 18 and w?
18
Suppose -35*d + 2040 = -37*d. Let y = d + 1442. Let a = 5101/12 - y. What is the common denominator of a and -9/34?
204
Let a(s) be the first derivative of s**3/3 - 3*s**2/2 - 50*s + 65. What is the smallest common multiple of a(9) and 12?
12
Let c be (-175)/10*(-96)/(-28). Calculate the least common multiple of 336/20 + (-12)/c and 1.
17
Let s(v) = v**3 - 41*v**2 - 27*v + 2800. Suppose -2*n - 96 = -4*n. Calculate the lowest common multiple of n and s(40).
240
Let k = -32836628273/1130 + 29058965. Let v = k + -3/113. Let y = -48/2039 - -207571/69326. What is the common denominator of y and v?
170
Calculate the common denominator of (1 + -14)*(325/(-360) - -1) and (-441)/108 - 45/(-5).
72
Let b be 835/30 + 2/12. Suppose -b*i - 360 = -48*i. What is the least common multiple of 240 and i?
720
Let z be -1 - 3393341/770*19. Let b = -83734 - z. Find the common denominator of b and 111/100.
1100
Suppose 3 = -12*s - 57. What is the common denominator of ((-2)/32)/(s*49/8540) and -29/16?
112
Let r be (-6)/(28/49*(-21)/6). Suppose -80 = -r*c - 2*c. Calculate the smallest common multiple of c and 20.
80
Let m be (8/(-16))/((-2)/(-4)) - 85. Let n = 428/5 + m. Find the common denominator of 23/59 and n.
295
Suppose t - 4 = -1, 2*q + 3*t - 105 = 0. Let u(i) = -4*i - 20 + q - 9 + 3*i. Calculate the smallest common multiple of 2 and u(14).
10
Let c(s) = -2*s**2 + 9*s - 4. Let v be c(3). Suppose -w - 242 = -v*q, -q + 5*w = 2*w - 54. What is the least common multiple of 16 and q?
48
Let r = 20272 + -647102514/31921. Let h = r - 3862401/638420. Calculate the common denominator of 3/(-2) - (-106)/14 and h.
140
Let k = -3343/1017 + -23/226. Let j = 15940/173 + -1134013/12456. Calculate the common denominator of j and k.
72
Let i(a) = 2*a - 55. Let u be i(26). What is the lowest common multiple of ((-4)/u)/(12/81) and 12?
36
Let p(h) = -3*h**2 - 14*h - 13. Let q be (-2)/((-1)/(-12)*8). Calculate the lowest common multiple of p(q) and 56.
56
Let z be 3 + 1 - 1596/104. Let p = -132/13 + z. Find the common denominator of p and 57/28.
28
Let o(a) = 9*a + 261. Let k be o(-61). Calculate the common denominator of ((-2)/(-48))/(4/150) and 388/k + (-17)/(-306).
48
Let q = 5575 - 4679. What is the least common multiple of 5 and q?
4480
Let l = -7195 + 280534/39. What is the common denominator of l and 13/882?
11466
Suppose 21*t + 0*t = 2176 - 559. What is the lowest common multiple of 264 and t?
1848
Calculate the common denominator of (-102)/255*(-1141)/(-336) and 65/363.
14520
Let a = -5641/760 + -43/95. Let x = 29238 - 57745049/1975. Let b = x - 69129/7900. Find the common denominator of a and b.
8
Let l = 76763/7032 + 1/2344. Calculate the common denominator of 1/(-3) - (-7)/(-54) and l.
108
Suppose -29 = -5*d - 2*w, 5*d + 0*d + w = 27. Suppose d = -l - 4*s, -12*s - 20 = -8*s. What is the smallest common multiple of 55 and l?
165
Suppose 3*l + 28 = 5*o - 59, -2*l - 46 = -2*o. Let q be -2 - (-1)/((-1)/(-77)). Let d = -39 + q. What is the least common multiple of d and o?
36
Let k = 19907 - 19888. What is the lowest common multiple of 380 and k?
380
Let a = 238/3 - 2057/24. Let l = 9760/9 + -1081. Find the common denominator of l and a.
72
Let j(g) = -548*g - 8738. Let t(l) = -l**3 - 7*l**2 - 7*l + 1. What is the least common multiple of j(-16) and t(-7)?
150
Calculate the common denominator of -46/167 and (2/136)/((-110)/(-440)).
2839
Let u be -1*(-6)/12 + 5499/6. Let i = u - 10075/11. Find the common denominator of -48/5 and i.
55
Suppose 0 = 4*d - 5*p + 97, -183*d + 185*d + 5*p + 11 = 0. Suppose -4572 = 7*v - 4*v. Let a = -50287/33 - v. Find the common denominator of d and a.
33
Let b(w) = -4*w**3 + w**2. Let u be b(1). Let d be (-4)/u*(3 + -15). Calculate the common denominator of -101/22 and (-3)/4 - (-28)/d.
22
Let q = -4723 - -4927. Calculate the smallest common multiple of q and 1734.
3468
Let p = 142096 - 49733531/350. Find the common denominator of p and -11/300.
2100
Suppose y + 5*o = 70, 0 = 8*y + 3*o - 296 - 190. Suppose 40 = -3*z + 3*s + 118, 0 = -5*z - 3*s + 162. What is the least common multiple of y and z?
60
Suppose -5*t = m - 19, -4*m = t - 2 - 17. Calculate the common denominator of -139/174 and (177/(-4) - 3)*t/36.
1392
Suppose -11*y - 461 = -12*y - 2*a, 4*y - 1872 = -a. Calculate the smallest common multiple of 5159 and y.
5159
Suppose 2*d = -33 - 41. Let t be (-390)/9 - (-16)/48. Let a = d - t. Calculate the lowest common multiple of a and 18.
18
Suppose 468 = -8*f - 5*f. What is the lowest common multiple of 2 and ((-28)/21)/(2/f)?
24
Suppose -4*p - 62 = -g - 23*p, 2*p - 8 = 0. Calculate the common denominator of g and -12/5183.
5183
Calculate the smallest common multiple of -8*((-144)/252)/(4/14) and 633.
10128
Let c be 1/(-1) + 0 - (-10)/10. Suppose 4*h + 0*h - 3*o - 24 = c, 6 = h - 3*o. What is the smallest common multiple of 6 and (0 + (0 - 1))/(h/(-108))?
18
Suppose 0 = -2*h + 9*h + 28. Let k be 27/(-12) + h + (-34)/(-8). Calculate the least common multiple of 24 and (k - (1 + 3))*54/(-12).
216
Let l = 3955 + -3939. What is the smallest common multiple of l and 272?
272
What is the lowest common multiple of 4323 and 198065/42 + (15 - 178/12)?
51876
Suppose 0*h - 4*v - 19 = -h, -2*v - 5 = h. Suppose h*i = -i + 56. What is the least common multiple of (384/(-120))/(6/(-25)) - 2/(-3) and i?
14
Let y be (-5 - (-36)/8)/(1/(-20)). Let o(a) = -12*a + 8. Let f be o(y). Let p = 391/3 + f. What is the common denominator of p and 47/7?
21
Suppose 149*x - 2292 + 767 = 144*x. Calculate the smallest common multiple of 366 and x.
1830
Suppose -3*o - 1288 = -3*c - o, -2142 = -5*c + o. Let q = 449 - c. Calculate the least common multiple of q and 15.
105
Let l(k) = -6*k - 69. Let o be l(-15). Suppose -f - m + 52 = 0, -2*f + 20*m + 100 = o*m. Calculate the lowest common multiple of f and 30.
240
Let l = 1562363/92 - 16982. What is the common denominator of l and 19/506?
1012
Suppose -7442 - 270 = -16*r. Let v = 34298/21 + -1634. Calculate the common denominator of (-7)/(-35) - r/(-240) and v.
168
Let u(r) = -77*r - 142. Let f be u(-2). What is the common denominator of -17/390 and 94/20 + 3/f*8?
390
Let h = -422 + 427. Let i = h - -145. Calculate the lowest common multiple of i and 165.
1650
Let f(x) = -x**2 + 31*x + 217. Let j(r) = r**3 - 23*r**2 + 4*r + 29. What is the lowest common multiple of j(23) and f(35)?
847
Suppose 0*b + b + 4*s = 150, 5*s = -4*b + 644. Suppose 1446 + 544 = 199*f. Calculate the smallest common multiple of b and f.
830
Let r = -72387/5935 - 4/1187. Let g be (-364)/720 + (-6)/(-27). Let m = g - r. What is the common denominator of m and -107/30?
60
Let a(h) = -h**2 + 17*h - 29. Let j be a(15). Suppose -s = l - 4, l + j = 2*s - 4*l. What is the least common multiple of 114/10 + s/5 and 9?
36
Let p(l) = l**3 + l**2 + l. Suppose -5 + 3 = 2*r. Let j be p(r). Calculate the lowest common multiple of (4 - -4)/(j/(-2)) and 6.
48
Let b be ((-492)/(-60))/((-2)/(-10)). Suppose b = 8*d - 7. Suppose i + n = 2*n + 19, -15 = -i + 5*n. What is the least common multiple of i and d?
60
Let h = 14409609/218 + -66099. Let c = 10729/6540 - h. What is the common denominator of 43/24 and c?
120
Let x = -112 + 112. Let d(g) = g**3 + 2*g**2 - 2*g + 16. What is the lowest common multiple of 10 and d(x)?
80
Suppose -4*g + g + 516 | {
"pile_set_name": "DM Mathematics"
} |
- 5*o(h). Let i be l(-1). Solve -7*z = -i*z - 5 for z.
-1
Suppose -26*n + 38*n = 960. Let w = n + -79. Solve w = 2*f - 1 for f.
1
Suppose 0 = -u - 5, -4*v - 2*u + 213 = -7*u. Suppose 4*h - h - v = 4*o, 3*o = 3. Solve 0 = 2*c - 11 + h for c.
-3
Let i = 1149 - 1033. Solve 0 = -6*d + 92 - i for d.
-4
Let l = 597 + -522. Suppose 4*p = 9 + l. Solve 16 - p = -q for q.
5
Suppose -3*c - 19 - 35 = -2*l, 0 = 3*c + 5*l + 54. Let o be 0/(5 + -4)*9/c. Solve 2*r + r - 2*r = o for r.
0
Let h = -714 - -774. Solve -49*j + h*j = -55 for j.
-5
Suppose 0 = -l - 3*r + 29, 18 = 99*l - 97*l - 2*r. Solve 16*n - 14*n + l = 0 for n.
-7
Let h(u) = 30*u - 2694. Let n be h(91). Solve -n*f = -29*f + 21 for f.
-3
Let w(o) = o**3 + 13*o**2 - 2*o - 21. Let j be w(-13). Suppose 2*f - 59 = -10*p + j*p, -f + 4*p = -10. Solve 4*r - 10 + f = 0 for r.
-3
Let g = 61 + -59. Suppose -3*r = g*t + 6, -2*t - 5*r + 10*r = -26. Solve t*l + 10 = -2*l for l.
-2
Suppose -7 = -2*x - b - 34, -b + 28 = -3*x. Let i(f) = 2*f**2 + 23*f + 15. Let k be i(x). Solve -k*l = -12 + 4 for l.
2
Let g(r) = 7*r**2 + 3*r + 4. Let m(h) = -13*h**2 - 6*h - 7. Let f(z) = -11*g(z) - 6*m(z). Let v be f(3). Suppose -n = -v + 8. Solve 2*q = -0 + n for q.
4
Let h(b) = -2*b - 1. Let p be h(-2). Let q be 1035/120 + (-6)/(-16). Solve p = q*m - 6 for m.
1
Suppose 3*k = -15, 12 = -v - 3*k + 1. Suppose 5*r - 3*n = 21, -r - v*n + 18 = -0*r. Solve 2*c + r = -4*c for c.
-1
Suppose 3*o + 77 = 4*a + 46, 4*o = -2*a + 10. Solve 3*r + 1 = a for r.
2
Suppose 2494*h - 5*b = 2492*h + 347, -3*b = -2*h + 349. Solve 0 = h*z - 167*z - 54 for z.
6
Let h = -2532 + 2640. Solve 21*q + 45 - h = 0 for q.
3
Suppose 0 = 108*b - 130*b + 75*b - 2014. Solve -b*z = -36*z + 10 for z.
-5
Let n = 2 - 6. Let c = -304 - -309. Let u be c + -1 + (-8 - n). Solve 5*k + u*k - 15 = 0 for k.
3
Let g be (-8 + 1)*(8 + -98)/9. Let l be 67/(-1)*(0 - -1). Let j = g + l. Solve -3*u = -4*u - j for u.
-3
Let o be (-9 + 18)*(-782)/(-414). Solve -58 = -o*v - 41 for v.
1
Let d(u) = u**2 - 10*u - 160. Let k be d(-9). Let z be 17/k - 234/429. Let a be 1/2 + 3/(-6). Solve -2*s + 11 - z = a for s.
5
Let n = 26 - 27. Let s be (8/24)/(n/(-12)). Let p be 2 - (s + 21/(-3)). Solve p*v = -12 + 2 for v.
-2
Let c be (2 - 16)/(-2) - (-31 + 28). Solve -60*h + 65*h - c = 0 for h.
2
Let b = -274 + 297. Suppose -3 - b = -13*q. Solve -2*p + q = -0*p for p.
1
Let r = 272 - 186. Let c = r + -81. Solve 5*d + c = 4*d for d.
-5
Let z(o) = 30*o - 2313. Let s be z(90). Solve 374*k = s*k - 104 for k.
8
Let f(n) = 2*n - 62. Let w be f(31). Suppose w = -62*g + 56*g + 24. Solve 13 + 3 = g*o for o.
4
Let v = -534 - -561. Suppose 4*j - 5*c - v = 0, -2*j - 2*c + 21 = -7*c. Solve -j*q + 8 = -4 for q.
4
Let v(j) = -5 + 0*j - 4*j - j. Let d(m) = m**3 + 6*m**2 + 25*m + 97. Let r be d(-5). Let h be v(r). Solve 7*l = 2*l - h for l.
-2
Let u = 5 + 2. Let j(f) = -f**2 + 6*f + 8. Let z be j(u). Let m = -2381 - -2382. Solve n + m = -z for n.
-2
Suppose -o = -4*x + 4*o - 25, 0 = -4*x - o + 5. Suppose -10*u + 5*u = x. Solve u = -3*i + 6 - 15 for i.
-3
Let z = 44 - 40. Suppose -207 = -s + z*s + 3*b, -2*b = 0. Let r be (-9)/12 + s/(-12). Solve -p + 6*p = r for p.
1
Suppose -j = -i - 674 + 715, -265 = -5*i - 5*j. Solve i - 53 = 2*o for o.
-3
Suppose 166 = 5*s + 41. Suppose s*b - 16 = 21*b. Solve b = -66*g + 70*g for g.
1
Let w = 246 + -244. Suppose 3*d - 10 = w*h + 2, 0 = 5*h. Solve d*p - 8 = 2*p for p.
4
Suppose 5*y + 8*w - 22 = 7*w, 4*w = y + 4. Let b be (-4)/18*6/y*-6. Suppose 2*v = -b*v + 8. Solve 3*o + 15 = -v*o for o.
-3
Suppose 3*y + 79 - 103 = 0. Suppose -y*o = -9*o + 10. Solve w + o = 6 for w.
-4
Suppose -5*o - 4*n + 26 = 0, 2*o - 5*n - 16 = -n. Suppose 4*p + 20 = 3*g + 2*g, 20 = -4*g - 4*p. Suppose 12 = o*h - g. Solve f = -h*f for f.
0
Suppose -8 = 2*o - 12, -3*a = o - 182. Let u be 0 + -62 - -2*1. Let b = a + u. Solve 0 = m - b*m + 2 for m.
-2
Let n(u) = -18*u - 679. Let c be n(-44). Solve 7*z = c - 78 for z.
5
Suppose -k - 4 = -2*k. Let g = 56949 + -56934. Let u(a) = a**2 + 1. Let d be u(2). Solve k*h + g = -d for h.
-5
Let s(u) = 31*u - 100. Let g be s(4). Suppose 5*h - 73 = -4*v - 20, -2*h + g = 3*v. Solve h*p = 4*p for p.
0
Suppose 0 = 106*b - 103*b - 66. Let q(i) = -5*i + 115. Let h be q(b). Solve 0 = -5*g + h + 10 for g.
3
Let f = 2525 + -2506. Solve -f*q - 78 = 17 for q.
-5
Let c(m) = 2*m**2 - 3*m + 4. Let b be c(1). Suppose -4 = -b*w + 8. Solve 0 = -4*x + w - 8 for x.
-1
Let k be (((-45)/(-36))/(5/(-8)))/((-6)/15). Let q(v) = -v**3 - 7*v**2 - 5*v + 7. Let p be q(-6). Solve -k*j = -19 - p for j.
4
Let f = 233 + -240. Let u(q) = -27*q - 182. Let d be u(f). Solve 0 = n + 2 - d for n.
5
Let l = 206 - 204. Let z be (l + -3 - 2) + 6/1. Solve -14 - 1 = -z*c for c.
5
Suppose 0 = x - 4*s + 22 - 548, s = -2*x + 1106. Solve -j = x - 557 for j.
7
Let g be ((-26)/3 - 0)/((-48)/(-216)). Let s = g + 40. Let t be (-3)/s*-1 - (-2 - -3). Solve 2 = -q - t for q.
-4
Suppose -17 + 104 = -w. Let c = -87 - w. Solve c = -i + 4*i - 6 for i.
2
Suppose 0 = 2*l + 7 - 7. Suppose l = 10*a + 6 - 26. Let z be 4 - 5 - (-11 - a). Solve -27 = 5*w - z for w.
-3
Suppose -o + 10 = f, 11*o = -2*f + 12*o + 20. Solve f*p - 72 = 18*p for p.
-9
Suppose -3*w = -5*w. Suppose w = 3*u + 4*t - 20, -10 + 2 = -3*u + 2*t. Solve 3*z = 16 - u for z.
4
Let x(l) = -12*l**2 + 328*l + 252. Let b be x(28). Solve -b*c = -c + 189 for c.
-7
Suppose 12 + 0 = 12*i. Let c(u) = 2*u**3 + u**2 + u - 1. Let y be c(1). Suppose 0 = -y*x + 5 + 4. Solve x*j - 5 = i for j.
2
Let i(k) = k**3 + 7*k**2 - 8*k. Let d be -3 - 4*10/8. Let n be i(d). Suppose -2*w - 16*w + 36 = n. Solve -5 = j - w for j.
-3
Let f(k) = -62 + k + 6*k - 10*k. Let a be f(18). Let u = -110 - a. Solve -u*d = -3*d - 3 for d.
1
Let f = -15428 + 15492. Solve -6*k + f - 82 = 0 for k.
-3
Suppose -3*n - x + 5*x = -26, 4*x + 14 = n. Suppose 5189 - 4076 = 53*p. Solve -n = p*d - 23*d for d.
3
Suppose 86*j = -73*j + 34*j + 1375. Solve 30 = j*g - 5*g for g.
5
Let q be (9 - 1)*((-138)/(-24) - 5). Solve 19*z = q*z - 52 for z.
-4
Suppose 14 = p - 2*v, 5*v = 3*p + 230 - 268. Solve p*w + 507 = 555 for w.
8
Suppose -m + 26 = 5*q, 10*q + m + 14 = 13*q. Suppose -3*p + 35 = 4*h, q*h - 3*p - 5 = h. Solve 3*j = 4*j - h for j.
5
Let s be 222/24 + 2 + (-27)/12. Suppose s*f = 13*f - 32. Suppose 3*a - 35 = 8*t - 3*t, 0 = -a + 3*t + 17. Solve -f - 7 = a*w for w.
-3
Suppose -246*j + 312 = -90*j. Suppose -7*u + 3*u = -4. Solve -r - j = u for r.
-3
Let y = 91 - 99. Let u be (4 - (-30)/y) + 153/12. Suppose -12*z + 35 + u = 0. Solve 4*b = 12 - z for b.
2
Let k be (-32)/272 + 5532/204. Solve -210 = -k*o - 48 for o.
6
Let r be (-90)/(-25) + 6/(-10). Suppose -5*y - 5 + 15 = 0. Suppose r*c - 13 = v - 1, -20 = y*v - 5*c. Solve 2*l + v*l + 6 = 0 for l.
-3
Suppose 1494*c - 29427 = -854*c + 19881. Suppose -y + 3*m = -0*m - 21, 6 = -2*m. Solve y = 3*f + c for f.
-3
Let i be 6/4*(-12 + 10). Let s(f) = f**2 - 2*f - 15. Let n be s(i). Suppose -2 = -m - 2*v, n*v = -v - 2. Solve -26 = 4*t - m for t.
-5
Let y be ((-1)/(-2))/(2/12). Suppose y*t = 3*j + 22 - 1, -2*j = 4*t - 16. Let n(u) = -u**3 - 17*u**2 + 27*u - 206. Let d be n(-19). Solve d*a + t + 1 = 0 for a.
-2
Suppose 5*z + 3*v + 356 = 1659, -3*v = 2*z - 523. Solve 7*x - z = -267 for x.
-1
Let j = -7 + 10. Suppose j*u = 0, -5*q + u = -2*u - 15. Let b be (1/q)/(1/9). Solve -2 = b*f - 5 for f.
1
Let o be ((-12)/(-28))/((-90)/(-4620)). Solve 20*i = o*i + 8 for i.
-4
Let q(z) = 4*z**2 - 25*z - 24. Let i be q(-1). Solve -12*b + 17*b - i = 0 for b.
1
Suppose 24*z = -9*z + 132. Suppose 4*k + 3*d - 18 = 2, z*k = 4*d + 48. Solve -10*i = -12 - k for i.
2
Let r(o) = -2*o**3 + 98*o**2 - 277*o + 61. Let b be r(46). Solve -b = -5*n + 8*n for n.
-5
Let o(r) = -73*r + 603. Let y be o(8). Solve 14*b + y - 103 = 0 for b.
6
Suppose 2941 + 2320 - 984 = 91*m. Solve -m = -b - 49 for b.
-2
Let h(m) be the second derivative of -m**4/4 - 35*m**3/6 + 8*m**2 - 2*m - 3. Let i be (-1)/2*3*8. Let g be h(i). Solve g*b = 4 - 24 for b.
-5
Suppose 2*w + 7 = 3*d + 13, -w - d = 2. Solve w = 52*z - 16 - 36 for z.
1
Suppose 0*y + y + 5 = 0. Let n be (2/(-6))/(y/30). Suppose -138 - 147 = -96*m - 93. Solve n*z + 8 = m for z.
-3
Let h(q) = -13*q**2 - 71*q - 12. Let p be h(-5). Let r(i) = -2*i**3 + 3*i**2 + 4*i + 3. Let l be r(-2). | {
"pile_set_name": "DM Mathematics"
} |
ulate r(c).
-4
Let k(s) = -s**2 + s + 3. Suppose -2*f + 0*f = 0. Calculate k(f).
3
Suppose 3*u - 16 = -u. Let p(r) = -2*r**3 + 0*r**2 - 6 + 3*r**3 - r**2 - u. Give p(0).
-10
Let n(p) = 3 - 71*p + 145*p - 71*p. Give n(-2).
-3
Suppose 0 = -4*f + 6*f + 6. Let v(h) = -h**3 + 6*h**2 - h + 8. Let b be v(6). Let t(x) = x + 0*x**2 - 1 - 5*x - x**b. What is t(f)?
2
Let o(f) be the first derivative of f - 1 + 0*f**2 - 5/6*f**3. Let h(n) be the first derivative of o(n). What is h(1)?
-5
Let q(a) = 2*a**2 - 94 + 107 - 4*a**2 - 7*a + a**2. Determine q(-9).
-5
Let p(q) = q**2 - 7*q + 4. Let c be p(7). Suppose -j = c*j. Let v(g) = -g. Determine v(j).
0
Let u(a) = 4*a**2 - 4*a + 3. Suppose 4 + 4 = 2*t. Suppose -l - 10 = l. Let v(p) = 3*p**2 - 3*p + 3. Let m(w) = l*v(w) + t*u(w). Give m(0).
-3
Suppose -2*c = -0*c. Suppose 3*g - 4*g + 2 = c. Let s(u) = -5*u - u**g + u + u + 1. What is s(-2)?
3
Suppose 10 = 2*f + 6. Let i(p) = 3*p**3 - p**2 - 1. What is i(f)?
19
Let o(w) = -w**2 + 4*w - 5. Let x(v) = -v - 2. Let f(a) be the first derivative of -7*a**2/2 + a + 4. Let h be f(1). Let i be x(h). Give o(i).
-5
Let n(g) = 4 + 2*g**2 - 2 - 7*g - 3*g**2. Let x be n(-7). Let z be (-1)/((-2)/8*x). Let i(r) = r**3 - 2*r**2 + r + 2. Determine i(z).
4
Suppose -3*l + 12 = -4*c - 14, -2 = 4*l + 2*c. Let x(t) be the second derivative of t**4/6 - t**3/6 - t**2 + 14*t. Determine x(l).
4
Let v(d) = d**2 - 13*d - 4. Let h(i) = 5*i - 27. Let s be h(8). Determine v(s).
-4
Let h be ((-6)/(-4))/(1/2). Let j(v) be the second derivative of -v**4/12 + v**3/6 + 2*v**2 - v. Calculate j(h).
-2
Suppose 11*v + 8 = 13*v. Let u(t) = -t**2 + 7*t - 3. What is u(v)?
9
Let c(x) be the second derivative of -x**4/12 - 13*x**2/2 - 19*x. Calculate c(0).
-13
Let w(y) = -y - 2. Let g be w(-5). Let h(s) = g + 3*s - 3*s - 6*s + 5*s. Determine h(6).
-3
Let g(f) = -f**3 - 5*f**2 - 2*f - 6. Let a = -30 - -25. Determine g(a).
4
Let x(m) = -7*m**3 + 14*m**2 + 9*m - 8. Let u(y) = -6*y**3 + 13*y**2 + 9*y - 8. Let w(a) = 6*u(a) - 5*x(a). Determine w(9).
-8
Let t(z) = 0*z**2 - 74 + z**3 + 76 - 6*z - 3*z**2. Give t(4).
-6
Let a(o) = 2*o**2 + 2*o**2 + 2 - 3*o**2 - 2*o**2 + o + o**3. Determine a(2).
8
Let v be -3*(7/(-3) + 1). Suppose 0 = 2*i + 4, 4*i - 9 = -v*u - 1. Let m(y) = 0 - y**3 - 5 - y + 5*y**2 + 1. Calculate m(u).
8
Let a be (-3)/(-30) + (-2)/(-5). Let n(o) be the second derivative of -1/6*o**4 - 1/3*o**3 - 2*o + 0 - a*o**2 + 1/4*o**5. What is n(-1)?
-6
Let g(r) be the first derivative of r**4/2 - r**3/3 + r**2/2 - 1. Let i = -86 + 87. Calculate g(i).
2
Let j(a) be the third derivative of -a**5/60 - a**4/12 + 2*a**3/3 + a**2. Let p = -28 + 24. What is j(p)?
-4
Suppose 9 = 3*l - 0. Let w(p) = -p + 4. What is w(l)?
1
Let k(o) = -o**2 + 8*o + 4. Let y(n) = -n**3 + 21*n**2 - 21*n + 29. Let j be y(20). Calculate k(j).
-5
Let b(r) = -3*r + 6. Suppose -5*s + 4*v = -0*v - 27, 2*v = -4*s + 32. Determine b(s).
-15
Let r(t) = -t**3 - t**2 - 2. Let h(m) = m**2 - 2*m + 1. Let j be h(3). Let c(u) = -u**3 + 4*u**2 - 2. Let s be c(j). Calculate r(s).
2
Let g(k) = -574 + 3*k + 288 + 289. What is g(-3)?
-6
Let g(p) = -p**3 - 1. Let z(y) = 2*y**3 - y**2 - 3*y - 2. Let c(k) = g(k) + z(k). Calculate c(3).
6
Let u be ((-2)/(-1) + -1)*5. Let o = u - 4. Let t(k) = -4*k**3 - k**2 + 1. Determine t(o).
-4
Let c(w) = -w. Let q be c(-3). Let u(t) = -3*t**2 - 1 + 2 - t - q*t**2 - 2*t**2. Let b = -3 + 4. What is u(b)?
-8
Let r(s) = -3*s + 3*s**2 - 5*s**2 - s**2 - s + 3. Let q(c) = -5*c**2 - 7*c + 5. Let w(a) = -4*q(a) + 7*r(a). What is w(-1)?
0
Let g = 7 - 12. Let u = 6 - 4. Let b(f) = -1 - 2*f**2 + f**u - 5*f + 4. Calculate b(g).
3
Let w = -19 + 21. Let y(z) = -z**w + 4*z - 10 - 42*z**3 + 41*z**3 - 3*z. Calculate y(0).
-10
Let w be -1 + 0 - (-11 + 8). Let c(k) be the first derivative of 1/4*k**4 - 5/3*k**3 + 2*k**w - 2*k + 3. What is c(4)?
-2
Suppose 4*c - 50 + 18 = -5*b, 0 = -3*c - b + 13. Let y(t) = 2*t**3 - t**3 - t - 5*t**3 + 4*t**2 + 3*t**c. Calculate y(2).
6
Let q(b) be the third derivative of -b**5/60 + 7*b**4/24 - 5*b**3/6 - b**2. Let l be (-1)/3 + 154/21. Suppose -2*u = -1 - l. Give q(u).
7
Let r(b) = b**3 + 9*b**2 - 5*b + 4. Let n(p) = p**2 - p. Let g(d) = 5*n(d) - r(d). Give g(-3).
-13
Let c = -32 - -32. Let a(n) = -n**2 - 4. What is a(c)?
-4
Suppose -f + 3 + 3 = 0. Let y(o) = -o**3 + 6*o**2 + o + 2. Calculate y(f).
8
Suppose 0 = -5*z - 0*p + 4*p + 34, 5*z - 2*p = 32. Let s(k) = k**2 - 5*k - 6. Determine s(z).
0
Let s be (0 - (-12)/10)/(37/185). Let g(o) = o**3 - 7*o**2 + 7*o - 3. Calculate g(s).
3
Let s = 9 - 5. Suppose -s*h - y = 8 + 6, -5*y = -3*h - 22. Let u(c) = c**3 + 5*c**2 + 3*c - 3. Give u(h).
1
Let m(s) be the first derivative of 3*s**2/2 - s + 38. Calculate m(5).
14
Let g(p) = p**2 - 5*p - 4. Suppose 5 + 1 = 3*b. Let w be 1/(87/(-45) + b). Suppose 2*z + z - w = 0. Calculate g(z).
-4
Suppose 0 = 5*s - h - 14, s = -2*h + 5. Let k(y) be the third derivative of y**6/120 - y**5/12 + 5*y**4/24 - y**3/2 + 9*y**2. Determine k(s).
-6
Suppose 0 = -2*n - 1 + 5. Suppose z = -2*s + 11, n*s = -3*s - 3*z + 28. Let q(b) be the first derivative of b**3/3 - 3*b**2 + 6*b + 1. Calculate q(s).
1
Let i(y) be the first derivative of y**2 - y + 14. Give i(3).
5
Let q = 17 - 14. Let n(l) = -l - 3. Give n(q).
-6
Let p(i) be the second derivative of -i**3/3 - i**2/2 + 2*i. Calculate p(-1).
1
Let y(i) be the second derivative of -i**3/6 + 5*i**2/2 + 15*i. Let k(g) = -g**3 - 5*g**2 + 5. Let s be k(-5). Calculate y(s).
0
Let w be (1/(-2))/(3/36*-2). Let z(j) = j**3 - 4*j**2 + 2*j - 3. Calculate z(w).
-6
Let z(i) be the second derivative of 0 - 3/2*i**2 - 1/6*i**3 - 4*i. Suppose 0*a + 3*a = -s - 14, -2*a = -4*s - 14. What is z(s)?
2
Suppose -21 = 3*i + 4*r - r, i + 4*r = -16. Let y = -2 - i. Let z(s) = -s**3 + 3*s**2 - 2*s - 1. Determine z(y).
-1
Let i(f) = f**3 - 5*f**2 + 4*f + 3. Let q be i(4). Let t(k) = 4*k**3 + 6*k + 3*k**2 + 2 - 5*k**q - 8. Determine t(4).
2
Let t(n) = -3*n**3 + 5*n**2 - 7 + n**2 + 2*n + 2*n**3. Let d(b) = -b**3 + 4*b**2 + b + 2. Let l be d(4). Determine t(l).
5
Let d = 83 + -81. Let b(a) be the first derivative of 3/2*a**2 + d + a. Give b(-3).
-8
Let a be 1/2*(-2)/1. Let z(p) = -9*p**3 + 4*p**2 + 3*p + 3. Let i(x) = 3*x**3 - x**2 - x - 1. Let o(l) = 7*i(l) + 2*z(l). Calculate o(a).
-2
Let y(v) = -v**2 + 7*v - 5. Let w = 7 + -1. Let g = -1 + w. Give y(g).
5
Let a(c) = c**2 - c - 1. Let h(v) = -v**3 - v**2 + 2*v + 6. Let u(j) = 5*a(j) + h(j). Suppose n = -0*n + 3. Calculate u(n).
1
Let d(y) be the second derivative of -y**4/24 + y**3/3 + 3*y**2 - 3*y. Let n(t) be the first derivative of d(t). What is n(4)?
-2
Let t(c) be the first derivative of -1/4*c**4 + 7*c - 1/2*c**2 + 5/3*c**3 - 6. Let z = 1 - -4. Calculate t(z).
2
Let s(b) be the second derivative of -b**5/20 + b**3/6 - 5*b**2/2 - 3*b - 4. What is s(0)?
-5
Let d(j) = j**3 - 4*j**2 - 4*j + 2. Suppose 0 = -4*h + 6*h. Let n = h + 5. Give d(n).
7
Let u be 0/3 - 6/(-3). Let q(s) = -u*s + 5*s + 5*s - 3*s. Suppose a - 5*a = 4*r + 16, 5*r - 4*a = 7. Determine q(r).
-5
Suppose -3 = -4*q + 13. Let u(m) = -2*m + 10 - q - 7. Calculate u(-2).
3
Let q(r) = -r**2 + 6*r + 3. Suppose 3*t = -2*t + 25. Determine q(t).
8
Let h(c) be the third derivative of 0*c + 0 - 1/8*c**4 + 1/30*c**5 + 5*c**2 + 1/120*c**6 + 0*c**3. Let z(d) = -2*d**2 - 1. Let j be z(1). What is h(j)?
0
Let v(c) = c**3 - c**2 + 1. Let s be ((-4)/6)/(1/(-9)). Suppose 7*g = 4*g + s. Suppose -g*k = -k. What is v(k)?
1
Let r be 14/63 + (-7)/(-9). Let j be -1 - (-3)/r - -7. Let b(c) = 8*c**2 - j*c**2 + 0 + 1 - 6*c - 2. What is b(-4)?
7
Let v(y) be the second derivative of -2*y**2 + 1/3*y**4 - 1/3*y**3 + 0 + 1/20*y**5 + 2*y. Determine v(-4).
4
Let f(a) = a**2 - 8*a - 3. Let h = -49 - -55. Determine f(h).
-15
Let m be (-4)/6 + (-128)/6. Let w(p) = p - 1. Let x(l) be the second derivative of 2*l**3 - 9*l**2/2 + 3*l. Let u(t) = m*w(t) + 2*x(t). Give u(-4).
-4
Let f(a) be the first derivative of -4 - 6*a + 4*a**2 - 1/3*a**3. Determine f(5).
9
Let r(c) = c - 5. Suppose -90 = 3*d - 8*d. Suppose 7 + d = 5*g. Let l(v) = v**3 - 6*v**2 + 6*v - 1. Let t be l(g). Give r(t).
-1
Let o = 15 + -7. Let p(t) = -t**2 + 9*t - 7. Determine p(o).
1
Suppose 1 + 8 = -3*w. Suppose u - 5*u = 0. Let v(g) = -2 + u*g**2 - 1 + 4*g + 2 + 2*g**2. What i | {
"pile_set_name": "DM Mathematics"
} |
, 21, 0.1, -3?
-3
Which is the fifth biggest value? (a) -1/2 (b) 2/13 (c) -0.3 (d) 1/7 (e) 16 (f) -53
a
What is the biggest value in 2, 0.46, 1, -0.3, -30?
2
What is the second smallest value in 1/4, -1.17, 19, 0.01?
0.01
What is the third biggest value in 2, -3.75, 3, 2/25, 358?
2
Which is the fifth biggest value? (a) -2/15 (b) 3/11 (c) 2/3 (d) 0.2 (e) -3 (f) 1066
a
What is the second biggest value in 1, 8/7, 2, 364?
2
What is the smallest value in -4, 0, 1/4, 5, -76/17?
-76/17
What is the sixth smallest value in -0.214, 3, -3/7, -11, 2/5, 2/9?
3
What is the second biggest value in 0.2, -3/7, -4, 2/15, -119/74?
2/15
What is the second biggest value in -4, -0.178, -5, 0.05?
-0.178
Which is the second biggest value? (a) 3/104 (b) 5 (c) -136
a
Which is the biggest value? (a) -0.5 (b) -0.004 (c) -623
b
Which is the biggest value? (a) 5 (b) -4 (c) -3/5 (d) 9 (e) -609
d
What is the fourth biggest value in 22/7, 1/3, -3, -5, 28?
-3
Which is the second biggest value? (a) -1/8 (b) 1 (c) 0 (d) -5/6 (e) 0.5 (f) 2
b
Which is the second biggest value? (a) 5 (b) 1.2 (c) 1.42 (d) 1/2 (e) -2/13 (f) -3/14
c
Which is the third smallest value? (a) 766 (b) -0.2 (c) -5 (d) -2/11
d
What is the fifth biggest value in 0, -4, -3/8, -5, 3/4?
-5
Which is the second biggest value? (a) -0.4 (b) -2647 (c) -0.159
a
Which is the third biggest value? (a) -2 (b) -1/2 (c) -153 (d) 0.0431
a
Which is the second biggest value? (a) -12 (b) 0.3 (c) -5 (d) -0.13 (e) -1/4 (f) -0.7
d
What is the sixth smallest value in 0, -4, 29/5, -1.4, 3/5, 1/20?
29/5
What is the biggest value in 7/6, 2, -0.01, 2/5, -30?
2
Which is the fourth smallest value? (a) -13.4 (b) -8 (c) -2/87 (d) 4/17
d
Which is the biggest value? (a) 58 (b) 0.3 (c) -62
a
Which is the smallest value? (a) 2 (b) -51 (c) -4 (d) 0.1 (e) -0.0124
b
Which is the third smallest value? (a) -170 (b) 4/5 (c) -5 (d) -4 (e) -1/8 (f) -2
d
What is the biggest value in -0.1, 2, -12338/5?
2
Which is the second biggest value? (a) -1 (b) -18 (c) 1 (d) 1/33 (e) 0.2
e
What is the biggest value in 118, 7/6, 0.3, 2, -2/7, -0.3?
118
What is the second biggest value in 0.4, -9.1, -0.4, 0, 0.0171?
0.0171
What is the second smallest value in -5, 1.4, -1/6, 11, 5?
-1/6
Which is the smallest value? (a) -41/5 (b) 1 (c) -9
c
Which is the fourth smallest value? (a) -2 (b) -4.7 (c) 2/17 (d) -1/9 (e) -3/23
d
Which is the second biggest value? (a) 2/15 (b) 0.2 (c) 0.1 (d) 7/67 (e) 5 (f) -3/5
b
Which is the third biggest value? (a) -11 (b) -0.4 (c) -5/6 (d) -0.29
c
What is the second smallest value in -0.01, -1/29, -3, 349, 0?
-1/29
Which is the third smallest value? (a) -1 (b) -1/4 (c) -11.9 (d) -0.02 (e) 40
b
Which is the second biggest value? (a) -2/3 (b) -5 (c) 8/3 (d) -1 (e) 3 (f) -10.5
c
What is the fourth smallest value in -0.011, 1, 0, -1/2, -2/115?
0
Which is the second smallest value? (a) -9 (b) 0.4 (c) 11
b
What is the biggest value in -0.098, -2/7, -8, 4/11, -0.5?
4/11
What is the fifth smallest value in -5, -2/7, 2/7, -8/5, 0.15?
2/7
Which is the third smallest value? (a) 5 (b) 1/4 (c) 3 (d) -10/19 (e) -9/7
b
Which is the smallest value? (a) 3/7 (b) -3794 (c) 1/34
b
What is the second smallest value in 2, 18/37109, 4?
2
What is the third biggest value in -2, -4, -3, 0, 2/785?
-2
What is the third smallest value in -8, -2/11, 2, 2/51, -4?
-2/11
Which is the second biggest value? (a) -4 (b) 1/2 (c) 0.11 (d) -4.2 (e) -1/7 (f) -4/7
c
Which is the fourth biggest value? (a) 0.5 (b) -1/5 (c) -2660 (d) 0.1 (e) 6
b
Which is the third biggest value? (a) -1/19 (b) 1/21224 (c) -4
c
Which is the fourth smallest value? (a) 11/2 (b) -457 (c) 4 (d) -1/3 (e) 0.3
c
What is the third smallest value in -2/17, 6, 817.9?
817.9
What is the smallest value in 0.4, 5, -3177, 1/2, -0.1?
-3177
Which is the fifth smallest value? (a) 7 (b) 2/7 (c) 5 (d) 611 (e) -2/3
d
What is the third biggest value in 0, 7/6, 4/547?
0
Which is the smallest value? (a) -31 (b) -10.2 (c) 1
a
What is the third biggest value in 5, 2646, 1/4, 2/9?
1/4
Which is the biggest value? (a) 0.06 (b) 1485 (c) 5
b
What is the third smallest value in -0.03, -1.2, 1/2, 2, 6?
1/2
Which is the second biggest value? (a) 2/15 (b) -231 (c) 22 (d) 2/7 (e) 2 (f) 0
e
What is the second smallest value in -1, -2, -2/11, -275, 4, -2/3?
-2
What is the fourth smallest value in -10, 0.1, -127, -8, -0.4?
-0.4
What is the second biggest value in -1528, 1, 279?
1
Which is the third smallest value? (a) 5852 (b) 2/3 (c) -32
a
Which is the third biggest value? (a) -3/7 (b) 3 (c) 0.3 (d) -352
a
Which is the second biggest value? (a) 1/3 (b) -67/209 (c) -1
b
Which is the third smallest value? (a) -0.5 (b) -15 (c) -103314
a
Which is the smallest value? (a) -1031 (b) 4/3 (c) 23 (d) 3 (e) 0.4 (f) -4
a
Which is the third biggest value? (a) 4 (b) -1 (c) 2 (d) -107 (e) 2/5
e
What is the third smallest value in -2, 1/7, -5, -0.3, 5, -1?
-1
Which is the fourth biggest value? (a) 3 (b) 5 (c) -2/15 (d) -5/14 (e) 0.05 (f) -2
c
Which is the biggest value? (a) 186 (b) 2 (c) 149/5 (d) 1/3
a
Which is the third biggest value? (a) -2/185 (b) -3 (c) -5/6
b
Which is the second biggest value? (a) -2/15 (b) 1/560 (c) -0.4 (d) -0.5
a
What is the fifth smallest value in -0.1231, -4, 1/8, -2, 5?
5
Which is the fifth biggest value? (a) -1/422 (b) -33 (c) 5 (d) 1/4 (e) -1
b
Which is the biggest value? (a) 0 (b) -4 (c) -34 (d) 18 (e) -3
d
What is the fourth smallest value in 3, 257, 4, 5, 8?
8
What is the biggest value in -4, 27647, -0.1?
27647
What is the smallest value in -1/9, -1/15, 2, -4/15, -0.2?
-4/15
What is the second biggest value in -139, 2/49, 3/4, -2?
2/49
What is the fourth biggest value in 2, 3, 4, -7677?
-7677
Which is the second biggest value? (a) -2/7 (b) 81 (c) -6/13 (d) 6
d
What is the second smallest value in -0.06, -2/11, 83, -1, -1/16?
-2/11
Which is the second smallest value? (a) 4 (b) 2/7 (c) 4/9 (d) -0.05 (e) 2/457
e
Which is the fourth biggest value? (a) -1/2 (b) -0.1 (c) 733 (d) 2 (e) 15
b
What is the biggest value in 1/207, 2/7, 2, -73/5, -2/9?
2
What is the smallest value in -5, 1, -0.1, -33, 0.0912?
-33
Which is the sixth biggest value? (a) -24.7 (b) 0.4 (c) 1 (d) 2 (e) -2/3 (f) 3/5
a
Which is the second biggest value? (a) -0.07 (b) -17/18 (c) -0.2
c
What is the second smallest value in -0.2, -351/589, -2/9?
-2/9
Which is the second biggest value? (a) 2/7 (b) -5/2 (c) -18/29 (d) 1 (e) 0.2 (f) -8
a
Which is the fifth biggest value? (a) 2/9 (b) 6252 (c) 3 (d) 4 (e) -2
e
Which is the biggest value? (a) 83 (b) -2826/7 (c) 3/5
a
What is the second smallest value in 2/5, -13, -4, -2/7, 0, -56?
-13
Which is the third biggest value? (a) -1 (b) 0.1 (c) 4311
a
What is the biggest value in -1.3, 0.2, 1/70, 126?
126
What is the second smallest value in 2, 203, 3/73?
2
What is the third biggest value in -2, 3/4199, -8?
-8
What is the second smallest value in 0.1, -0.06, 0.2, -139/80?
-0.06
What is the biggest value in 4/15, 1.2, 10.4, -2/3?
10.4
What is the biggest value in 9, 1/150, 80?
80
What is the second biggest value in 4, -3, -3.67, 10, 1.7?
4
What is the third biggest value in -3/8, -5, -0.2, -11/13, 5, 0.04?
-0.2
What is the third biggest value in -75, 0.1, 3/5, 6, -0.4?
0.1
What is the third biggest value in -1/4, 1618, -5?
-5
What is the third biggest value in 22, 2483, 4?
4
What is the smallest value in 3/4, -70, -124/5?
-70
What is the fourth smallest value in 5, 3, 238, 2/7?
238
Which is the third biggest value? (a) 70 (b) -29 (c) 3 (d) 2/19 (e) 11
c
Which is the fifth biggest value? (a) -20 (b) 0.5 (c) -1/9 (d) -81/5 (e) -0.2
a
What is the fourth smallest value in -1.1, -0.14, -4, -0.16?
-0.14
What is the third biggest value in 0.2, -5, 53, 2/7, 2/9?
2/9
Which is the second smallest value? (a) 0 (b) 7 (c) -1 (d) 0.089 (e) -2/7
e
What is the fourth smallest value in 1.8, 1, 5/6, -0.5, -27, 0.5?
5/6
What is the third biggest value in 2/5, -3/7, 10, -100?
-3/7
Which is the third smallest value? (a) -1/5 (b) -214 (c) 6 (d) 0.3 (e) 8 (f) 0.1
f
What is the second bigg | {
"pile_set_name": "DM Mathematics"
} |
rt a?
-462*l**3*z**2 - 18*l*z**2
What is the first derivative of 59*a**4 + 5*a**2*c*u**2 - 2*a*u - 460*c*u**2 + c wrt a?
236*a**3 + 10*a*c*u**2 - 2*u
What is the third derivative of 60*b**6 - 22*b**3*h - 9019*b**2*h wrt b?
7200*b**3 - 132*h
What is the third derivative of -101*s**4*x - s**4 - 3*s**3*x - 21*s**2 - s*x + 80*x wrt s?
-2424*s*x - 24*s - 18*x
Find the second derivative of -165*z**2 + 4*z - 128 wrt z.
-330
Find the second derivative of 559*n**2 + 197*n + 4 wrt n.
1118
Find the third derivative of 5*h**3*r**3 - h**3*r**2 - 115*h*r**3 - 727*h wrt r.
30*h**3 - 690*h
Find the third derivative of -2*b*h*n**3*z + 2*b*h*n**2*z + b*n**2*z - 2*b - h*n**3*z - 8*n**3*z + 2*n**2*z - 78*n**2 wrt n.
-12*b*h*z - 6*h*z - 48*z
Differentiate -261*n**2*z + 149*n**2 - 2*z with respect to z.
-261*n**2 - 2
Differentiate 7077*q**2 - 7952 with respect to q.
14154*q
Differentiate -23*a**2*g + a**2 + 184*g with respect to a.
-46*a*g + 2*a
Find the second derivative of -18*j**4 - 13*j**3 - 2*j**2 + 246*j + 2 wrt j.
-216*j**2 - 78*j - 4
What is the second derivative of 4*h**4 + 567*h**3*l**3 + 2*h*l**3 - h*l**2 + l**2 - 6 wrt h?
48*h**2 + 3402*h*l**3
What is the second derivative of 2*c**4 + 2*c**3 + 44*c**2 + 5021*c wrt c?
24*c**2 + 12*c + 88
What is the second derivative of -27*h**3 - 11*h**2 - 1185*h - 1?
-162*h - 22
What is the third derivative of 4*g**3*l**4 - 2*g**3*l**2 + 2735*g**2*l**2 - 506*g*l**4 wrt l?
96*g**3*l - 12144*g*l
Find the third derivative of -1591*g**6 + 887*g**2 - g wrt g.
-190920*g**3
Find the third derivative of -178*b*i**5 + 3*b*i**2 - 6*b wrt i.
-10680*b*i**2
What is the first derivative of -11*s**3 - 254*s**2 - 2*s + 3979 wrt s?
-33*s**2 - 508*s - 2
Find the third derivative of 223*c**2*h**3 + 3*c**2*h**2 - 2*c**2 - 2*c*h**3 + 144*c*h**2 + 1 wrt h.
1338*c**2 - 12*c
What is the third derivative of t**6 - 2682*t**4 - t**3 + 102*t**2 - 8*t + 2?
120*t**3 - 64368*t - 6
Find the second derivative of -2*t**5 + 345*t**3*z**3 + 151*t*z + 3*z**3 wrt t.
-40*t**3 + 2070*t*z**3
What is the second derivative of -1298*c**3*d**2 - 4*c**3*d + 250*c + 1 wrt d?
-2596*c**3
What is the first derivative of -2014*c**4 + 517 wrt c?
-8056*c**3
Find the third derivative of -4*c**2*k**3 - 2*c**2*k - 4*c*k**4 - 94*c*k**2 wrt k.
-24*c**2 - 96*c*k
What is the derivative of x**3 - 849*x**2 + 545?
3*x**2 - 1698*x
Differentiate 2858*m*n**2 + 2*n**2 + 1484*n with respect to m.
2858*n**2
What is the second derivative of 2*g*q**2 + 2*g - 304*q**2 + 204*q wrt q?
4*g - 608
Differentiate 77*b**4 - 3*b**2 + 196 with respect to b.
308*b**3 - 6*b
Find the second derivative of 78*a**2*i**3 - a**2*i**2*u - a**2*i + 11*a*i**3*u - a*i**3 + 3*i**2*u wrt a.
156*i**3 - 2*i**2*u - 2*i
What is the first derivative of c**2*i**2 + 17*c**2*i*x - c**2 - 7*c*x - 3*c + 9*i + 26*x wrt i?
2*c**2*i + 17*c**2*x + 9
Find the third derivative of 2864*b**6 - 6844*b**2.
343680*b**3
What is the first derivative of -2*f*o - 777*f*x + 22*o**2*x + 3*o*x wrt o?
-2*f + 44*o*x + 3*x
Find the third derivative of -115*d**3 + 180*d**2 - 1 wrt d.
-690
Differentiate h**4*x + h**3*x - 29*h*x - 2108*x wrt h.
4*h**3*x + 3*h**2*x - 29*x
What is the derivative of 12912*b**4 + 8679?
51648*b**3
What is the second derivative of -2*c**3*z**3 + 210*c**3*z + 3*c*z**3 + 46*z**3 wrt c?
-12*c*z**3 + 1260*c*z
Find the third derivative of 21*m*s*v**3 + 38*m*s*v**2 + 2*m*s - 5*m*v**3 + 2*v**2 wrt v.
126*m*s - 30*m
What is the second derivative of 40*h**4 - 53*h + 2?
480*h**2
What is the second derivative of 1749*l*z**3 + 2*l - z**3 + 146*z + 1 wrt z?
10494*l*z - 6*z
Find the second derivative of 56*o**3*v**2*z**2 - 2*o**3*v*z - 4*o*v**2*z**3 + o*v*z**3 - 2*o*v - 4*o*z + 11*z**3 wrt v.
112*o**3*z**2 - 8*o*z**3
Find the second derivative of -19*a**2*c*i**2 + 2*a**2*c - 193*c*i + 4*i**4 - 3*i wrt i.
-38*a**2*c + 48*i**2
What is the first derivative of 6*q*w**4 + 2*q*w + 406*q - 2*w**4 wrt w?
24*q*w**3 + 2*q - 8*w**3
Differentiate -2091*o**2 + 6534.
-4182*o
What is the second derivative of -4*g**3*o**2 - g**3*o + 8*g**3 - 36*g**2*o**3 + 28*g*o**3 + 4*g*o + 1 wrt o?
-8*g**3 - 216*g**2*o + 168*g*o
What is the second derivative of -3*m**4*z - 315*m**2*z - 16*m*z + m + 6*z - 2 wrt m?
-36*m**2*z - 630*z
Find the third derivative of -3*b*f**4*l + 2*b*f**2*l**2 - 2*b*f**2*l + 11*b*f*l**2 + 3*f**4*l**2 - f**2 wrt f.
-72*b*f*l + 72*f*l**2
Find the second derivative of 159*s**2 + 2*s + 51.
318
Find the second derivative of 3*k**2*n**5 + 6*k**2*n + 63*k**2 + 12*n**5 wrt n.
60*k**2*n**3 + 240*n**3
Differentiate -225*d - 105 with respect to d.
-225
Find the second derivative of -1527*i**3 + 4*i**2 - 5050*i + 2.
-9162*i + 8
Differentiate -368*a**4 - 71.
-1472*a**3
Find the first derivative of -c*n*x + 163*c*n - 2*c*x - 323*n*x wrt c.
-n*x + 163*n - 2*x
Find the second derivative of -2*a*k**2*y**3 - 228*a*k**2*y**2 + 12*a*y + 4*a - k*y**2 + 12*y**3 wrt k.
-4*a*y**3 - 456*a*y**2
What is the second derivative of -1889*u**5 + 12527*u wrt u?
-37780*u**3
Find the first derivative of -6*m*t**3 + m*t - 10*m - 157*t**2 + 32 wrt t.
-18*m*t**2 + m - 314*t
Find the third derivative of -2*r**2*u**3 - 15*r**2*u**2 + 19*r**2 - 9*r*u**3 + 2*r*u**2 - 2*r - 119*u**3 wrt u.
-12*r**2 - 54*r - 714
What is the third derivative of -447*i**4 - 431*i**2 wrt i?
-10728*i
What is the second derivative of -10*g**5*i**3 - g**5 - 11*g*i**3 + 2*g wrt g?
-200*g**3*i**3 - 20*g**3
Find the third derivative of -d**4*t + 20*d**3*k*t + 39*d**3*t + d**3 - d**2*k - 28*d**2*t - 172*d*k*t wrt d.
-24*d*t + 120*k*t + 234*t + 6
Find the second derivative of -117*b**4 + 4*b + 27 wrt b.
-1404*b**2
What is the second derivative of 7696*t*z**2 + 2*t*z - 22388*z wrt z?
15392*t
What is the second derivative of -i**2*l**3 - 1016*i**2*l - 29*i*l**3 - l wrt i?
-2*l**3 - 2032*l
Find the third derivative of 378*c**5 - 455*c**2 wrt c.
22680*c**2
What is the third derivative of -b**3*c*o**3 - b**3*c*o**2 - 3*b**3*c + 2*b**2*c*o**3 + 2*b**2*c*o**2 + 141*c*o**3 + 3*c*o**2 wrt o?
-6*b**3*c + 12*b**2*c + 846*c
Find the second derivative of -572*s**5 + s**4 + 4*s**3 + 17*s - 44.
-11440*s**3 + 12*s**2 + 24*s
What is the third derivative of 409*c**3*p**3 + 2*c**3*p + c**2*p**2 - 165*c*p**3 wrt c?
2454*p**3 + 12*p
What is the second derivative of v**4 - 950*v**3 + 2*v**2 + 115*v + 16?
12*v**2 - 5700*v + 4
Find the second derivative of 1031*p**3*u**4 + 3903*p**3*u + 2*p**2*u**5 wrt u.
12372*p**3*u**2 + 40*p**2*u**3
What is the third derivative of -578*q**6 + 226*q**2 wrt q?
-69360*q**3
Find the third derivative of 6*f**4*p + 20*f**3*p*z - f**2*p*z - 10*f**2*z - 86*f*p*z - p wrt f.
144*f*p + 120*p*z
What is the third derivative of -14*n**4*w**3 - 33*n**4 - 28*n**2*w - 3*w**3 - 4 wrt n?
-336*n*w**3 - 792*n
What is the first derivative of -j*o**4 + 49*j*o**3 - 9*j + 1 wrt o?
-4*j*o**3 + 147*j*o**2
What is the third derivative of -104*c*s**3 + 23*c*s**2 - 2*c*s + 2*c - 6*s**3 - 18 wrt s?
-624*c - 36
Find the second derivative of -1013*r**5 - r - 259 wrt r.
-20260*r**3
What is the second derivative of -8822*n**3*z**2 - 61*n**3*z + 4*n**2*z + 5*z wrt z?
-17644*n**3
What is the first derivative of -82*a**3 + 15*a - 3578 wrt a?
-246*a**2 + 15
What is the first derivative of 3*d**2*m*y**3 + 129*d**2*y**2 + 4*d*m*y**3 - 11*m + y**3 + 1 wrt m?
3*d**2*y**3 + 4*d*y**3 - 11
Differentiate -3*g**4*i**3 - 25*g**2*i**3 + 211*i**3 with respect to g.
-12*g**3*i**3 - 50*g*i**3
What is the derivative of -l**2 - 3171*l - 547 wrt l?
-2*l - 3171
Differentiate -340*g*o**2 + 308*g + o**2 wrt o.
-680*g*o + 2*o
What is the third derivative of 8106*k**2*s**5 - k**2*s**2 + k**2 + 636*k*s**2 wrt s?
486360*k**2*s**2
What is the third derivative of 282*v**6 - 12*v**2 + 4?
33840*v**3
Differentiate 2*h*q - 16*h - 796*q with respect to h.
2*q - 16
What is the second derivative of 218*t**5 - 8*t**3 - 6740*t + 1?
4360*t**3 - 48*t
What is the first derivative of 2*h**4 + 71*h**2 - 201 wrt h?
8*h**3 + 142*h
What is the second derivative of -11*a*p**5 - 2*a*p**3 - 4*a*p**2 - 163*a*p + 4*a + 2*p wrt p?
-220*a*p**3 - 12*a*p - 8*a
What is the third derivative of -28*r**3*t**3 + r**3*w**2 + 11*r**2*t*w**3 + 2*r*t**3*w**3 - 7*r*t**2 - 2*r*t*w wrt t?
-168*r**3 + 12*r*w**3
Find the second derivative of -404*d**2*w**2 + 8*d**2*w + 7*d**2 - d*w**2 wrt w | {
"pile_set_name": "DM Mathematics"
} |
1135180 and -21/91460.
19298060
What is the least common multiple of 91471 and 102432?
96593376
Calculate the common denominator of -15/76 and 35/2044362.
4088724
Calculate the common denominator of -55/34497272 and -35/39912.
103491816
Calculate the common denominator of -19/96 and 27/21550576.
129303456
Find the common denominator of -19/161 and -97/5401182.
37808274
Calculate the common denominator of -89/924 and 3/234304.
7732032
Calculate the least common multiple of 4063 and 3916254.
66576318
Calculate the lowest common multiple of 20 and 116284.
581420
What is the common denominator of -69/36791048 and -49/24?
110373144
What is the common denominator of -47/6 and -74/189949143?
379898286
Calculate the least common multiple of 2268 and 151935.
16408980
Calculate the common denominator of -35/166352 and -16/10397.
166352
Find the common denominator of -65/3 and 163/22834380.
22834380
What is the least common multiple of 648835 and 4069965?
44769615
Calculate the lowest common multiple of 6518160 and 4345440.
13036320
Calculate the least common multiple of 148033509 and 2301039.
444100527
Calculate the common denominator of 29/75 and 89/28532445.
142662225
What is the lowest common multiple of 199303326 and 177158512?
1594426608
Find the common denominator of -109/14441000 and -151/15750.
129969000
Calculate the common denominator of -65/64 and -119/27426624.
27426624
What is the common denominator of 3/67545698 and 5/24562072?
270182792
Find the common denominator of -23/199 and 15/1167931.
1167931
Calculate the common denominator of 52/582015 and -61/17265.
669899265
Calculate the smallest common multiple of 2646054 and 30948.
5292108
What is the common denominator of 68/4474455 and -23/282300?
89489100
Calculate the least common multiple of 497670 and 7420.
6967380
What is the lowest common multiple of 232705 and 11821414?
59107070
Find the common denominator of 89/84152 and 79/178220.
55961080
What is the common denominator of -99/1480262 and 37/18820474?
131743318
Calculate the least common multiple of 7297900 and 2043412.
51085300
Find the common denominator of -125/72 and 73/8089448.
72805032
What is the common denominator of 41/13117505 and -9/42804490?
813285310
Calculate the smallest common multiple of 56145687 and 259077.
393019809
What is the smallest common multiple of 459420 and 806?
459420
Find the common denominator of 16/97468893 and -52/15.
487344465
Calculate the least common multiple of 3344608 and 2508456.
10033824
Find the common denominator of 47/364 and 63/58868.
5356988
Find the common denominator of 15/272 and 25/1522688.
25885696
Calculate the common denominator of -127/1815792 and -17/660.
9078960
What is the least common multiple of 19440 and 135636120?
813816720
What is the smallest common multiple of 1237528 and 152?
23513032
Calculate the lowest common multiple of 88218 and 702.
264654
Find the common denominator of -29/22306 and -25/9160722.
174053718
What is the lowest common multiple of 1684 and 356166?
712332
What is the lowest common multiple of 78668 and 60820?
1196146940
Calculate the common denominator of -125/1681656 and 145/2952.
5044968
What is the common denominator of 31/16 and 53/3494176?
3494176
Calculate the lowest common multiple of 32610 and 24710.
80579310
Calculate the common denominator of -37/342 and -133/167478.
9546246
Find the common denominator of -217/507870 and -119/2031480.
2031480
Calculate the lowest common multiple of 99627 and 1793286.
1793286
Find the common denominator of -77/338 and -61/3120.
40560
What is the common denominator of 131/648990 and -49/67170465?
134340930
What is the smallest common multiple of 63298 and 8925018?
8925018
What is the common denominator of 107/40108920 and -117/70?
280762440
What is the smallest common multiple of 2297340 and 5283882?
52838820
Calculate the lowest common multiple of 5963035 and 13.
5963035
What is the lowest common multiple of 2370 and 78684?
393420
What is the least common multiple of 120195 and 19956?
799537140
Calculate the common denominator of -40/3821371 and 83/112808.
30570968
What is the common denominator of 4/15 and 56/6755835?
6755835
Calculate the common denominator of 31/34708756 and -73/172.
1492476508
Calculate the lowest common multiple of 2983921 and 9413.
2983921
What is the lowest common multiple of 27621 and 3751?
303831
Calculate the least common multiple of 21 and 50025.
350175
What is the smallest common multiple of 808 and 292264?
29518664
What is the common denominator of -127/4350 and -83/18580?
8082300
Calculate the least common multiple of 834620 and 359750.
20865500
Find the common denominator of 115/393862 and -107/1575448.
1575448
Calculate the common denominator of -89/4727822 and 4/4942723.
108739906
Calculate the lowest common multiple of 1406 and 22133955.
44267910
What is the lowest common multiple of 1460 and 7592000?
7592000
Calculate the lowest common multiple of 378798 and 11.
4166778
Calculate the common denominator of 111/190640 and 17/9288.
221333040
Calculate the least common multiple of 64372 and 1204071.
640565772
What is the common denominator of 79/210826 and 95/27139056?
298529616
Calculate the common denominator of -83/638 and 65/3882462.
42707082
What is the smallest common multiple of 50293 and 2546?
6739262
Calculate the lowest common multiple of 2423571 and 5474.
780389862
Find the common denominator of 33/15218605 and 73/285.
867460485
Find the common denominator of -41/493830 and -16/7061769.
70617690
What is the lowest common multiple of 89624 and 83028?
109430904
What is the lowest common multiple of 1808 and 110212968?
220425936
Calculate the smallest common multiple of 740064 and 104595712.
313787136
What is the common denominator of 83/103425310 and -23/50?
517126550
Find the common denominator of -2/9 and 22/99769437.
99769437
Calculate the least common multiple of 59007 and 2159.
7493889
Find the common denominator of 109/2145 and -71/594021.
424725015
What is the common denominator of -109/6639972 and -65/564?
6639972
Calculate the common denominator of -101/16248 and 5/70304.
142787424
What is the smallest common multiple of 99453160 and 238687584?
1193437920
Calculate the common denominator of 105/848432 and -83/956.
202775248
Calculate the smallest common multiple of 216290 and 3540.
76566660
Calculate the smallest common multiple of 1335360 and 2912.
9347520
Calculate the smallest common multiple of 11180 and 6760.
290680
Find the common denominator of -115/2802006 and 109/228.
5604012
Calculate the common denominator of -13/5741232 and 71/128.
45929856
Find the common denominator of -20/23061 and 53/1671.
12844977
What is the lowest common multiple of 588 and 626052?
4382364
What is the smallest common multiple of 39120450 and 26850?
39120450
What is the common denominator of -15/107792 and 71/588?
15845424
What is the smallest common multiple of 794959 and 27751296?
305264256
Calculate the lowest common multiple of 8809755 and 3.
8809755
Calculate the common denominator of 7/19679 and 39/11539.
20643271
What is the least common multiple of 86000 and 79515600?
397578000
Calculate the lowest common multiple of 616 and 885808.
885808
Find the common denominator of 29/30 and -139/8534736.
42673680
What is the common denominator of 5/733028 and -33/11228?
5131196
Calculate the least common multiple of 24740712 and 58667.
173184984
Calculate the least common multiple of 4 and 5715574.
11431148
What is the least common multiple of 927728 and 847056?
19482288
Calculate the smallest common multiple of 27 and 65985255.
197955765
What is the least common multiple of 10830 and 8144?
44099760
What is the lowest common multiple of 6272 and 2780?
4359040
What is the smallest common multiple of 13005 and 183575?
477478575
Find the common denominator of 149/31500 and -103/8620500.
25861500
What is the lowest common multiple of 57234835 and 1450?
572348350
What is the common denominator of -5/2452056 and 31/48?
4904112
Calculate the common denominator of 95/308 and -51/2674700.
29421700
What is the least common multiple of 135 and 2125056?
95627520
Calculate the common denominator of -21/117995 and -13/731569.
3657845
Calculate the common denominator of 63/72370 and -13/ | {
"pile_set_name": "DM Mathematics"
} |
uppose 5*x - 33 = 12. Calculate the highest common divisor of 99 and x.
9
Suppose -t + 4*d + 62 = 11, 2*t - 86 = 4*d. Suppose 7*h - 3*h = 5*b + 81, -h + 56 = -4*b. Let l = b - -18. Calculate the greatest common divisor of t and l.
5
Let z = -48 + 108. Suppose 5*s = -0*s + 100. What is the greatest common divisor of z and s?
20
Suppose -y = 2*y - 1152. Suppose 2*u - 4*j - y = 0, -u + 3*j + 25 = -164. Calculate the highest common factor of u and 18.
18
Let r = 0 + 0. Suppose -4 = -b - r. Suppose 156 = 4*d + 12. Calculate the greatest common divisor of d and b.
4
Let g(y) = y**3 + 3*y**2 - 2*y + 3. Let u be g(-3). What is the highest common divisor of u and 72?
9
Let c(l) = l - 8. Let q be c(9). Suppose -q = -4*d + 11. What is the highest common divisor of d and 12?
3
Let h be (1/2)/(4/(-128)). Let x = -10 - h. What is the highest common factor of x and 2?
2
Suppose 8*y - 232 = 160. What is the greatest common factor of y and 7?
7
Suppose -2*a = 5*f - 7, 3*a - 6 = -f - 2*a. Let h = 39 - 32. What is the highest common factor of f and h?
1
Suppose 81 = 3*s - 90. Let l = 42 - 23. Calculate the highest common factor of l and s.
19
Suppose -3*h + 12 = -0*h, -2*r + 2*h = 4. Suppose -r*y + 5*y = 81. Calculate the highest common divisor of 27 and y.
27
Suppose 0 = -2*w + 8*w - 30. Let g be (5/2)/((-1)/(-14)). Calculate the highest common divisor of g and w.
5
Suppose -2 = -y - 1. Let a = y - -6. Let d be (7/2)/(1/8). What is the greatest common divisor of d and a?
7
Let w(y) = 6*y**2 + 2*y - 6. Let k be w(2). Calculate the highest common divisor of 55 and k.
11
Let r(p) = -11*p**2 - 31*p - 9. Let c(d) = 5*d**2 + 15*d + 4. Let y(i) = 13*c(i) + 6*r(i). Let z be y(7). What is the highest common factor of 8 and z?
4
Let d(b) = -b**3 - b + 70. Let x be d(0). Calculate the highest common factor of 14 and x.
14
Suppose -11*z = -9*z - 396. Let v(r) = -r**3 + 9*r**2 - 5*r - 2. Let g be v(8). What is the highest common factor of z and g?
22
Let b be (0 + 0)*(-4)/4. Suppose -2*o + 1 + 1 = b. What is the highest common factor of 2 and o?
1
Suppose -3*l = 5*y - 399, 3*l + 4*y - 253 = 146. What is the greatest common factor of l and 19?
19
Let x = 4 - -8. Suppose b = x - 1. Calculate the highest common divisor of 121 and b.
11
Let s be 2/(-6)*-3 + 1. Let r be (s - 3)/(1/(-5)). Suppose -r*p - 4*u + 130 = -2*u, -2*u + 82 = 3*p. Calculate the greatest common factor of p and 12.
12
Let n(o) = o**3 - 5*o**2 + 3*o - 9. Let w be n(5). Suppose -u - u + w = 0. What is the greatest common factor of u and 3?
3
Suppose 8*j - 1197 = j. What is the highest common factor of j and 19?
19
Let q be (-1 + -7)/((-2)/27). What is the greatest common divisor of q and 72?
36
Let a(k) be the second derivative of -3*k**5/4 - k**2/2 + 2*k. Let l be a(-1). Calculate the greatest common factor of 7 and l.
7
Let x be (-1)/(-4) - (-1815)/20. What is the greatest common factor of x and 13?
13
Let b be (-14)/21 - 244/(-6). Suppose 2 = -r + 5. Suppose 2*p + 1 = f, -r*p + 15 = f + 2*p. Calculate the greatest common factor of f and b.
5
Let c(k) = 10*k. Let o be c(5). Suppose -6*z = -z - o. Let i = 8 + -4. Calculate the greatest common divisor of i and z.
2
Let z = -49 + 97. What is the highest common factor of 32 and z?
16
Let o = -18 - -50. Calculate the highest common factor of 48 and o.
16
Suppose -2*n + 8 = 2*n. Suppose 0 = r + 3*b - 36, 14 = 4*b + 2. Let m be n - r/(-3) - -1. What is the highest common divisor of 4 and m?
4
Let b = 0 + 5. Suppose -r - 2*r + 3 = 0. What is the greatest common divisor of b and r?
1
Suppose -4*h - h + 3*b = -672, 2*b + 673 = 5*h. Suppose 4*n - 16 = 44. What is the greatest common divisor of n and h?
15
Let d = -163 + 211. Calculate the highest common factor of d and 6.
6
Suppose 90 = 3*o - 5*w - 19, w = -4*o + 130. What is the greatest common divisor of o and 297?
33
Suppose -3*t - 21 = -2*s, -s + 3*t + 33 = 3*s. Calculate the highest common factor of s and 2.
2
Let i be ((-12)/(-3))/2 + 20. Let l be 2/(-3) + 20/(-15). Let r be 4/l + 70/2. What is the greatest common divisor of i and r?
11
Let s = 10 + -22. Let h(w) = w**2 + 11*w + 15. Let u be h(s). What is the highest common factor of u and 3?
3
Let p(m) = -m**2 + 4*m - 1. Let c be p(3). Let b be 2/(-1)*-1 - -3. Suppose -b*z + 24 = -c*z. Calculate the highest common divisor of 20 and z.
4
Let c be 4/(16/(-4)) - -4. Calculate the greatest common divisor of c and 8.
1
Suppose -a + 6 = -4. What is the highest common factor of 10 and a?
10
Suppose c + 3 = 6. Suppose -234 = -5*x - c*q, 0 = -0*x + 4*x - 3*q - 171. What is the highest common factor of x and 5?
5
Let o(q) = q**3 + 7*q**2 + q + 7. Let i be o(-6). Calculate the highest common divisor of 259 and i.
37
Suppose -t + 109 = 5*q - 221, 2*q - 2*t - 120 = 0. Calculate the greatest common divisor of q and 5.
5
Let t = 31 + 34. Let m = 42 - 29. Calculate the highest common factor of m and t.
13
Let m = -5 - -4. Let j be m + -3 - 2/1. Let a be 8/6*j/(-4). What is the highest common factor of a and 2?
2
Let p = 9 - 3. Suppose p*n = 4*n - s + 16, 2*n + 4*s = 4. Suppose 0 = -5*b - 5*w + 265, 119 - 10 = 2*b + 3*w. Calculate the greatest common divisor of b and n.
10
Let q(o) = 3*o**3 - 2*o**2 + o + 2. Let r be q(2). Suppose 0 = c + 5, -l + 3*c = 4*c. What is the greatest common divisor of r and l?
5
Suppose -2*n = -11 - 29. What is the greatest common divisor of 80 and n?
20
Let a = 7 - -3. Calculate the greatest common divisor of a and 2.
2
Suppose 0 = 5*g - 94 + 64. Calculate the greatest common factor of g and 15.
3
Let j(v) = -v**3 - 7*v**2 + 11*v + 3. Let x be j(-8). Let n = 32 + x. Calculate the greatest common divisor of n and 33.
11
Let y = -34 + 54. Suppose 5*z = -4*x + 140, -3*z + 4 = -8. What is the greatest common factor of y and x?
10
Suppose 82 = 5*q - 5*n + 2*n, 4*q - 69 = -n. Calculate the greatest common divisor of 153 and q.
17
Let u(j) = 15*j**2 + 2*j - 1. Let k be u(-2). What is the highest common divisor of 22 and k?
11
Let i = 124 - 19. Let s(b) = b - 3*b - 3 + 11*b. Let j be s(2). What is the highest common divisor of j and i?
15
Let q = 209 - 118. Calculate the greatest common divisor of 13 and q.
13
Suppose -4*j + 41 = -43. Suppose -3*y + 4 = -5. Calculate the highest common factor of j and y.
3
Let k(r) = 2*r**3 + 2*r**2 - 5*r + 3. Let c be k(3). Calculate the highest common factor of c and 40.
20
Suppose 5*f - i + 10 = 0, 0 = f + 2*i - 5*i + 16. Let g be 7 + -2 + 0 + f. Calculate the greatest common factor of 20 and g.
4
Suppose -5*y - g + 419 = -0*g, 0 = 2*y - 4*g - 172. Suppose -2*f + 30 = -3*m, 4*f + 1 = -m + 47. What is the highest common factor of f and y?
12
Suppose 4*p - 40 = -0*w + 2*w, 2*w = -p + 15. What is the highest common divisor of 121 and p?
11
Let n be -1*-23*(-4)/(-16)*4. What is the highest common factor of 207 and n?
23
Let y(q) = -q. Let a be y(4). Let i = -3 - a. Suppose -m + 4 = 5*p - i, 3*m = -2*p - 11. Calculate the highest common factor of 14 and p.
2
Suppose 2*o + 5*t = 7*o - 5, 0 = -5*o - 4*t - 22. Let z = o - -2. Suppose 0*l - 3*l + 90 = z. What is the highest common factor of l and 75?
15
Let s = 34 - 21. Let t = 21 - s. What is the greatest common divisor of t and 56?
8
Suppose 0 = -4*w - w + 100. Suppose -5*d + 73 = -27. Calculate the highest common divisor of d and w.
20
Let q = -96 + 173. Calculate the greatest common divisor of q and 7.
7
Let q be (0 - 3) + 1*19. Let z(i) = i**2 + 5*i - 10. Let l be z(-7). What is the greatest common divisor of l and q?
4
Let t(z) = -z**2 - 4*z. Let y(v) = -2*v + 7. Let k be y(6). Let l be t(k). Let d = 9 + l. Calculate the greatest common divisor of d and 32.
4
Let z(h) = -87*h - 6. Let q be z(-1). What is the greatest common factor of q and 9?
9
Suppose 0 = 32*r - 34*r + 200. What is the greatest common divisor of 10 and r?
10
Suppose -3*i - 13 - 3 = 4*j, -i - 16 = 4*j. Suppose -4*y - 2*m + i*m + 50 = 0, y = m + 20. What is the highest common divisor of y and 15?
15
Suppose 5*h - 15 = -0. Suppose 0*b + 3 = h*b. Calculate the greatest common divisor of 2 and b.
1
Suppose 0 = 4*z + 5 - 305. Calculate the greatest common divisor of 25 and z.
25
Suppose 5*v - 6*v + 3*c + 14 = 0, 4*v - c = 78. Suppose -j + 6*j = v. What is the greatest common divisor of j and 32?
4
Suppose 0 | {
"pile_set_name": "DM Mathematics"
} |
7846, -38798, -39750?
-40702
What is the next term in -44835, -177464, -397889, -706110?
-1102127
What is the next term in 174181, 348330, 522447, 696532, 870585, 1044606, 1218595?
1392552
What is next in -18242, -72675, -163390, -290381, -453642, -653167, -888950?
-1160985
What is the next term in -7769, -16889, -27447, -39431, -52829, -67629, -83819?
-101387
What is next in -4215, -3916, -3617, -3318?
-3019
What is next in 787642, 789937, 792242, 794563, 796906, 799277?
801682
What is the next term in -568393, -1136748, -1705103, -2273458, -2841813?
-3410168
What comes next: 220969265, 220969262, 220969257, 220969250, 220969241, 220969230, 220969217?
220969202
What is the next term in 3258899, 6517805, 9776711, 13035617, 16294523?
19553429
What comes next: 4724, 37780, 127544, 302372, 590620, 1020644, 1620800, 2419444?
3444932
What comes next: -72962, -72852, -72732, -72602, -72462, -72312, -72152?
-71982
What is next in 9463, 6387, 3311?
235
What is next in 8611100, 8610974, 8610834, 8610674, 8610488, 8610270?
8610014
What comes next: 3181608, 6363292, 9544976, 12726660, 15908344, 19090028?
22271712
What comes next: 1374, 12278, 42200, 100650, 197138?
341174
What comes next: 11897, 47643, 107235, 190673?
297957
What is next in 979776, 3919122, 8818040, 15676536, 24494616, 35272286, 48009552, 62706420?
79362896
What comes next: -49256800, -49256798, -49256796, -49256794, -49256792?
-49256790
What comes next: 1691, 4653, 8905, 14471, 21375, 29641, 39293, 50355?
62851
What comes next: 8760117, 8760116, 8760115, 8760114?
8760113
What is the next term in 49905365, 99810723, 149716081, 199621439?
249526797
What is the next term in -4987769, -9975563, -14963359, -19951157, -24938957, -29926759?
-34914563
What is the next term in 733773, 733527, 733277, 733023?
732765
What is next in -204466, -817800, -1840024, -3271138, -5111142?
-7360036
What is the next term in -54, -115, -302, -693, -1366, -2399, -3870, -5857?
-8438
What is the next term in 1088, 2471, 4792, 8063, 12296, 17503?
23696
What comes next: 388, 678, 896, 1042?
1116
What is the next term in -16989, -34565, -52141, -69717, -87293?
-104869
What is the next term in 175548, 1404260, 4739342, 11233980, 21941360, 37914668, 60207090?
89871812
What comes next: -113648, -113613, -113580, -113549, -113520?
-113493
What comes next: -2661, -4124, -8057, -15696, -28277?
-47036
What is next in -559714, -1119660, -1679606, -2239552, -2799498?
-3359444
What is next in 318903, 1276153, 2871569, 5105151?
7976899
What is next in -16003982, -32007969, -48011956?
-64015943
What comes next: 16134635, 16134637, 16134639, 16134641, 16134643?
16134645
What is the next term in -4092, -16441, -37034, -65871, -102952, -148277?
-201846
What comes next: 628, 3450, 9970, 21676, 40056, 66598, 102790?
150120
What is next in -189562, -378534, -567500, -756460, -945414?
-1134362
What is the next term in 10587, 10852, 11295, 11916?
12715
What is the next term in 387, -151, -1605, -3969, -7237, -11403, -16461?
-22405
What is the next term in 38259, 76767, 115363, 154047, 192819, 231679, 270627?
309663
What comes next: 143867, 574028, 1290961, 2294666, 3585143, 5162392, 7026413?
9177206
What is the next term in -312, -2995, -10476, -25161, -49456, -85767, -136500, -204061?
-290856
What is next in 5179223, 5179212, 5179201?
5179190
What comes next: -14060, -137873, -473940, -1128389, -2207348, -3816945, -6063308?
-9052565
What is the next term in 18655360, 37310728, 55966116, 74621536, 93277000?
111932520
What is the next term in -283, 676, 2319, 4646?
7657
What comes next: 24415, 48449, 72483, 96517?
120551
What is next in 1537867, 1537929, 1538097, 1538425, 1538967, 1539777, 1540909, 1542417?
1544355
What comes next: -268308, -1073281, -2414898, -4293153, -6708040, -9659553, -13147686, -17172433?
-21733788
What comes next: 4022477, 16089889, 36202229, 64359491, 100561669, 144808757?
197100749
What is the next term in 2143, -1443, -7419, -15785, -26541?
-39687
What comes next: 623, 1264, 2051, 3056, 4351, 6008, 8099, 10696?
13871
What is next in 6466, 25544, 57398, 102028, 159434?
229616
What comes next: -105778, -211383, -316990, -422599, -528210, -633823?
-739438
What is next in 81045, 166578, 252101, 337608, 423093, 508550, 593973, 679356?
764693
What is the next term in 63020, 125115, 187210, 249305?
311400
What is next in 65821415, 65821414, 65821413, 65821412, 65821411, 65821410?
65821409
What is the next term in -15016, -14984, -14936, -14872?
-14792
What is next in 57273, 57249, 57135, 56871, 56397?
55653
What is the next term in -81661, -326656, -734977, -1306624, -2041597?
-2939896
What is next in 34238, 64450, 94664, 124880, 155098, 185318, 215540?
245764
What comes next: -1060, -3171, -5284, -7399, -9516, -11635?
-13756
What is the next term in -32479, -129772, -291915, -518908?
-810751
What is next in -5929443, -5929448, -5929457, -5929470, -5929487, -5929508?
-5929533
What is the next term in -76724, -82203, -87682, -93161?
-98640
What comes next: -1404190, -1404208, -1404226?
-1404244
What is next in -134661, -269220, -403795, -538398, -673041?
-807736
What comes next: -78342, -78408, -78582, -78918, -79470?
-80292
What comes next: -284142052, -284142051, -284142050, -284142049?
-284142048
What comes next: 58, -81, -230, -407, -630, -917, -1286, -1755?
-2342
What is next in 15556, 62173, 139860, 248611, 388420, 559281, 761188, 994135?
1258116
What is the next term in 2815, 12102, 27581, 49252?
77115
What is the next term in 47049, 45187, 43325, 41463, 39601, 37739?
35877
What is the next term in -22491, -22764, -23537, -25068, -27615, -31436, -36789?
-43932
What is next in -5649518, -11299036, -16948554?
-22598072
What is the next term in 15485959, 15485956, 15485953, 15485950?
15485947
What is next in 37989, 148265, 330829, 585681?
912821
What is next in -10232, -10255, -10262, -10253?
-10228
What comes next: 3023, 7587, 12153, 16721, 21291?
25863
What is the next term in 900, -165, -1948, -4455, -7692?
-11665
What is next in 29319, 29173, 29031, 28893, 28759, 28629?
28503
What is next in -10296, -10633, -11196, -11973, -12952, -14121, -15468, -16981?
-18648
What is the next term in 1338932, 2677864, 4016796?
5355728
What is next in 439423, 878847, 1318271?
1757695
What is next in 2076, 4161, 6246, 8331, 10416?
12501
What is next in -158, 866, 1992, 3220?
4550
What is next in -529, -521, -427, -247, 19, 371?
809
What comes next: 10991423, 21982846, 32974269, 43965692, 54957115?
65948538
What is the next term in -2599, -3834, -3713, -2242, 573, 4726, 10211?
17022
What is the next term in -194937178, -194937179, -194937180, -194937181, -194937182, -194937183?
-194937184
What is next in -16990, -34262, -51534, -68806, -86078, -103350?
-120622
What is next in 15659, 62472, 140627, 250232, 391395?
564224
What is the next term in 422027, 421978, 421919, 421850, 421771, 421682?
421583
What is next in -621651, -621677, -621703, -621729?
-621755
What comes next: -76926904, -76926911, -76926924, -76926943?
-76926968
What is next in -728003396, -728003395, -728003394, -728003393, -728003392?
-728003391
What is the next term in 1552, 6301, 14312, 25651, 40384?
58577
What is the next term in 234817, 469636, 704457, 939280, 1174105?
1408932
What comes next: -48837500, -97675019, -146512528, -195350021, -244187492, -293024935, -341862344, -390699713?
-439537036
What is next in 18147, 18161, 18189, 18237, 18311, 18417, 18561, 18749?
18987
What is the next term in -70550, -70536, -70522?
-70508
What is the next term in 6623, 12185, 17739, 23279, 28799, 34293?
39755
What is next in -108675, -108663, -108617, -108519, -108351, -108095, -107733, -107247?
-106619
What comes next: -1435508, -1435487, -1435464, -1435439, -1435412, -1435383, -1435352?
-1435319
What is the next term in -164, -134, -108, -86, -68, -54, -44?
-38
What is the next term in 74550, 74518, 74486, 74454, 74422?
74390
What is the next term in -361550, -723015, -1084480?
-1445945
What is next in -7500447, -7500446, -7500445, -7500444?
-7500443
What comes next: -3378, -8290, -13196, -18096, -22990, -27878, -32760?
-37636
What is next in -8000946, -8000994, -8001042, -8001090, -8001138, -8001186?
-8001234
What is the next term in 14508, 14780, 15056, 1533 | {
"pile_set_name": "DM Mathematics"
} |
to the nearest one thousand.
-15000
Let v = 0.07 - -0.19. Let d = 0.259987 - v. What is d rounded to 5 decimal places?
-0.00001
Let a = 11309773 + -20909773. Round a to the nearest one million.
-10000000
Let u = -433 - -433.0251. What is u rounded to three decimal places?
0.025
Let u = -71975 + 136896. Suppose 4*c - 84936 = -p, 4*p + u + 41249 = 5*c. Suppose 42398 = 4*w - o, -5*o = -4*w + 63624 - c. Round w to the nearest 1000.
11000
Suppose -b = -5*c - 5 - 22, -3*b + 3*c + 21 = 0. Suppose 5*y - 181 = -2*n, 0 = b*n - 0*y - 2*y - 188. Round n to the nearest 10.
90
Let d = -200457120 - -200457023.000061. Let j = 97 + d. What is j rounded to five dps?
0.00006
Let b = -61 + 25. Let u be 1700/b + 2/9. Round u to the nearest 10.
-50
Let s(d) = 2*d**2 + 2*d. Let r be s(-2). Suppose -r*k - 1148 - 2480 = 0. Let f = -1607 - k. What is f rounded to the nearest one thousand?
-1000
Let o = 3431778 + 903436. Let w = o - 3015214. Round w to the nearest 100000.
1300000
Let o = -66 - -65.9836. What is o rounded to 3 dps?
-0.016
Let b(v) = -10799*v**2 + v. Let a = 4 - 5. Let t be b(a). What is t rounded to the nearest 1000?
-11000
Let r = 0.09 + -0.066. Let q = 19.976 + r. Let l = 20.000033 - q. What is l rounded to 5 dps?
0.00003
Let x = -0.33 - 31.67. Let o = 110 + x. Let y = o - 78.0000071. What is y rounded to six decimal places?
-0.000007
Suppose -b = -2*b - 6. Let u(y) = 2138*y**2 - 5*y + 2. Let x be u(b). Round x to the nearest ten thousand.
80000
Let o = 2.9 - 27.9. Let x = o - -25.72. Let j = x - 0.72057. What is j rounded to four dps?
-0.0006
Let q = 3090 + -1679. Let a = q - 2151. Round a to the nearest one hundred.
-700
Let c = -308 - -819. Let y = 299 + c. Round y to the nearest 100.
800
Let g = -1 - -5. Let m = -0.010898492 - 3.989101588. Let q = g + m. What is q rounded to 7 dps?
-0.0000001
Let v be 528/(-10)*5*5. Round v to the nearest one hundred.
-1300
Let g be ((-11)/(-2))/(-11) + 260001/2. Round g to the nearest 100000.
100000
Let t = 4.871 - 4.9. Let l = t + 0.259. Round l to 1 decimal place.
0.2
Let j = 492.518 - 492. Round j to 1 dp.
0.5
Let y be (212000/12)/(-5)*300. Round y to the nearest 100000.
-1100000
Let r = -0.0880642329 + -352968527.9119357671. Let q = r + 352968526.11999921. Let s = q - -1.88. What is s rounded to 7 dps?
-0.0000008
Let b = -0.057 - -1.097. Round b to one dp.
1
Let f = -22 + 20. Let m = 2.29 + f. Round m to one dp.
0.3
Suppose 0 = 4*t - 4*u - 16, 5*u - 28 = -3*t - 0*u. Let h(a) = a**2 + 5*a. Let g be h(-6). Let n = t - g. Round n to 7 dps.
0
Let d = -0.56 - -0.32. What is d rounded to 1 decimal place?
-0.2
Suppose 3066 + 318 = -4*x. Let w = 28 - -418. Let d = w + x. What is d rounded to the nearest one thousand?
0
Suppose 0 = u + 3*v + 196797 + 423194, 2*u + 5*v + 1239985 = 0. What is u rounded to the nearest 100000?
-600000
Let p(m) be the second derivative of 2500*m**3 + 2*m. Let k be p(1). What is k rounded to the nearest ten thousand?
20000
Let k(u) = 980000*u**2 - 3*u + 3. Let l be k(1). What is l rounded to the nearest one hundred thousand?
1000000
Let p = 0.9 - 3.9. Let k = p + 3.012. What is k rounded to 3 dps?
0.012
Let o = -0.38 - -5.13. Let t = 0.55 + o. What is t rounded to the nearest integer?
5
Let i = -1012301368051.300059 - -1012306480966.7. Let s = i + -5112903. Let t = -12.4 + s. What is t rounded to five dps?
-0.00006
Let w = 59.037 + -59. What is w rounded to three decimal places?
0.037
Let l = 8.9999982 + -9. Round l to 6 dps.
-0.000002
Suppose -g + 4*m + 85 = 0, 3*g + 2*m + 0*m - 199 = 0. Round g to the nearest 10.
70
Let o = 0.36 + -0.36000038. What is o rounded to seven dps?
-0.0000004
Let w = -111.5 + 133. Round w to the nearest integer.
22
Suppose x - 2*t - 1 = 1, 0 = x + 2*t - 18. Suppose -2*l + 105 - x = -m, 93 = 2*l + m. Round l to the nearest 10.
50
Let i = 142.091 + -142. What is i rounded to one dp?
0.1
Let f = 24.7 + -2.7. Let v = -13496.034 + 13518. Let b = f - v. What is b rounded to two dps?
0.03
Let w = 57.9999906 - 58. What is w rounded to six dps?
-0.000009
Let r = -21 - -21.016. What is r rounded to 2 dps?
0.02
Let b = 766 - 779.88. Let t = 3.88 - b. Let g = 19.3 - t. Round g to 1 dp.
1.5
Let g be 21/84 - (-9)/(-4). Let p be 1/((6/87)/g). Round p to the nearest ten.
-30
Let b = -6.4 - -7. Let d = b + 0.1. Let l = -0.7014 + d. Round l to three dps.
-0.001
Let f = -0.3509 + 0.0679. Let j = 10 - 9.953. Let o = j - f. What is o rounded to one dp?
0.3
Let s be (-2)/(-1) - (18 + -560904). Suppose -5*t + s = -689112. What is t rounded to the nearest ten thousand?
250000
Let l = -12.8527844 + -1.1472026. Let z = -39 + 25. Let b = l - z. Round b to 5 decimal places.
0.00001
Let u = -0.0399996 - -0.04. What is u rounded to 7 decimal places?
0.0000004
Let v(d) = 58*d**2 - 3*d - 26. Let a be v(-8). Round a to the nearest one thousand.
4000
Let z = 213.9999798 + -214. What is z rounded to 6 dps?
-0.00002
Let q = -1437.458 - -1440. Let y = q + -2.5. What is y rounded to 2 decimal places?
0.04
Suppose 4*p + 3*s - 10848427 - 45151561 = 0, 0 = 4*p + s - 55999996. What is p rounded to the nearest 1000000?
14000000
Let z = 0.5300032 + -0.53. Round z to 6 decimal places.
0.000003
Let u = 4 - 4.00036. Round u to 4 dps.
-0.0004
Let p = -88 + 124. Let d = p - 35.9999864. What is d rounded to 6 dps?
0.000014
Suppose 4*p = -4*h - 504, -h - 3*h - 472 = -4*p. What is h rounded to the nearest 10?
-120
Let v = -0.599 - -0.6472. Round v to two decimal places.
0.05
Let p = -5.1 + -0.9. Let y = p + 10. Let m = -3.9 + y. Round m to 2 dps.
0.1
Let o = 11.00000069 + -11. What is o rounded to 7 dps?
0.0000007
Let k(w) be the first derivative of w**3/3 - 7*w**2/2 - 5*w - 3. Let i be k(8). Let u be 2/i - (-6666)/(-9). Round u to the nearest one hundred.
-700
Let k = -0.333758 - -0.32175968. Let n = k + 0.012. What is n rounded to 7 dps?
0.0000017
Let v be (-155998)/4 - 3/6. Round v to the nearest ten thousand.
-40000
Let t = 131.208 + -0.208. Let z = 83 - t. Let i = z - -48.000062. What is i rounded to five decimal places?
0.00006
Let u(x) = x**3 + 2 + 0 - 7*x**2 + 1 + 2*x**2. Let r be u(6). Round r to the nearest 10.
40
Let t = 12.19 + -6.1. Let v = -1.81 - t. What is v rounded to the nearest integer?
-8
Let x = 375.0000318 - 375. What is x rounded to five decimal places?
0.00003
Suppose -4*r - 2*r = 61200000. Round r to the nearest 1000000.
-10000000
Let g = 701.9 - 755.794. Let y = -34 - 20. Let b = g - y. What is b rounded to two dps?
0.11
Let n(o) = -o - 4. Let r be (-3)/(6/(-4) - -2). Let q be n(r). Suppose q*c + 10200000 = -0*c. What is c rounded to the nearest 1000000?
-5000000
Suppose -3*z + 4600 = -z. Round z to the nearest one thousand.
2000
Suppose l + 2 - 5 = 0. Suppose i + 2*r - l*r - 3 = 0, 2*i + 4*r = -18. Round i to the nearest 10.
0
Let v = -7310.93772 + 7301.93772001. Let r = v - -9. Round r to 7 dps.
0
Suppose 0 = 5*p - 93 - 317. Let y = 39 - p. Round y to the nearest ten.
-40
Let t = 3 - 2. Let w = -0.6 + t. Let c = -0.37 + w. What is c rounded to 1 dp?
0
Let a = -15.22 - -0.22. Let p = a + 11.2. Round p to the nearest integer.
-4
Let r = 1446 - 257.84. Let g = r + -1188.529938. Let n = 0.37 + g. Round n to five dps.
0.00006
Let x = 61476545167154 - 61476545449477.34430081. Let i = 282308.6443 + x. Let n = 14.7 + i. What is n rounded to seven decimal places?
-0.0000008
Let l = -1.3 - -1.15. Let j = l + 0.1499992. Round j to seven decimal places.
-0.0000008
Suppose 3*b = 9, 0*y - b = -y + 2. Suppose 4*d = -6*u + 4*u + 880002, -y*d - 5*u + 1100005 = 0. Round d to the nearest 100000.
200000
Let z = 157 - 158.91. What is z rounded to 1 decimal place?
-1.9
Let m = 77263 + -38363. What is m rounded to the nearest one thousand?
39000
Let u = 1.362 - 1.4861. Let g = 0.135 + u. Round g to 3 decimal places.
0.011
Let v be (-3000)/((-985)/1950 + (-3)/(-6)). What is v rounded to the nearest 10000?
590000
Let i = 569537 + -278367. Let g = -537170 + i. Round g to the nearest 10000.
-250000
Let x = -443 + 449.064. Let y = -0.8 - -6.8. Let g = y - x. Round g to 2 decimal places.
-0.06
Let f(d) = d**3 + 4*d**2 - d - 2. Let g be f(-4). Let v = g + -1. Suppose v + 18 = b. Round b to the nearest ten.
20
Let x = 103 + -103.705. What is x rounded to one decimal place?
-0.7
Let u = 2064953.99866 - 2065080. L | {
"pile_set_name": "DM Mathematics"
} |
*v + 4*t - 12 = 0, t = 4*v. Let x = 15 - 14. Let j be (x/3)/(v/15). Solve 4 = j*n - 3*i, 0 = 2*i - i + 3 for n.
-1
Let h be (8/(-12))/((-2)/18). Suppose -2*u + h*u = 16. Solve u*y + 0*y - 4*r + 4 = 0, r = -3 for y.
-4
Let l = 0 + 4. Let q = l - -1. Let g(v) = -v**2 + 5*v. Let y be g(q). Solve 0 = 3*j + 4*m - 11, y = -j - j - m + 9 for j.
5
Let j = -117 + 119. Solve -j*l = t + 2*t - 5, 2*l + 5 = -t for l.
-5
Let w(t) = -t**3 + 13*t**2 + 13*t + 18. Let a be w(14). Solve 0 = 5*j - a*i - 13, -4*j - 2*i - 5 = -5*j for j.
1
Let v = -13 + 21. Let b = 286 + -283. Solve 3*s - 15 = 0, -b*q + 3*s = v*s - 37 for q.
4
Let f be 2 + -1 - 0 - -2. Suppose 0 = f*m - 3 + 21. Let y be (21/m)/((-2)/4). Solve -r = -3*a - 3*r + 4, -r = 4*a - y for a.
2
Suppose 2*u = 5*b + 29, b - 2*b + 1 = 3*u. Let x be b/5 + (-1 - 5). Let f = 11 + x. Solve 2*z = 2*c, 0*c + 2*c = f*z + 6 for z.
-3
Let j(s) = -11*s - 2. Let f be j(-2). Solve -f = 4*d - h, d + 15 = -2*d - 4*h for d.
-5
Let z(r) = -r**3 + 7*r**2 - 5*r - 4. Let o be z(6). Solve -5*p + 2*s = 3*s - 18, o*s = -p for p.
4
Let d(a) = 2*a**2 - 1. Let q be d(3). Let p(b) be the first derivative of b**3/3 - b**2 - b - 2. Let f be p(3). Solve h - f*v - v = -q, -h - 22 = -4*v for h.
-2
Let l be ((-9)/4)/((-2)/(-8)). Let x = 6 - l. Solve 0 = 5*m + 5*i - x, -4*i = 5*m - 2 - 11 for m.
1
Suppose -4*a + n + 13 = 0, 3*a - 7*a + 33 = -5*n. Solve 4*f = -4*c, a*f - 16 = -2*f for c.
-4
Let h = 57 - 37. Solve -g - 6 = -c - 0*c, 4*c = h for g.
-1
Suppose -4*g + 4*d = -104, -142 = -5*g - 2*d + d. Solve 3*i + 6 = 3*s, -i - 5*s = 3*i - g for i.
2
Suppose -30 = 3*x - 4*x. Let l = -87 + 129. Suppose -5*h + l = 17. Solve k - 4*d = -2*k - 29, -h*k - x = -3*d for k.
-3
Let i be 78/21 - 2/(-7). Let x = 30 - 14. Solve -s + i*j = x, -3*s + j - 8 = 7 for s.
-4
Let s(k) = 2*k**3 - 2*k**2 + 3*k - 1. Let y be s(1). Solve 3*u = -5*z - 11, -y*z = 5*u - 4*u + 4 for z.
-1
Let w be 1/3 + 149/3. Let o = 91 - w. Let q = -6 - -10. Solve 2*m - 5*j = 33, 2*j - 7*j - o = -q*m for m.
4
Let u = -2 + 2. Solve u = -3*a - 5*j - 29 - 8, 0 = -2*a + 3*j + 7 for a.
-4
Let h(b) = b - 4*b + 2*b - 1 + 3*b. Let d be h(2). Solve -d*g = -4*u + 2*g - 9, -4*u - 3 = g for u.
-1
Suppose 7*d = 2*d - 3*f + 9, -3*f = 3*d - 3. Solve 5*w = 3*w + 10, 4*t - 15 = -d*w for t.
0
Suppose -1 - 9 = -5*n. Suppose -2*y + 21 = s - 10, s - 15 = n*y. Solve 1 = o + 2*j - 6, 5*o - 2*j = s for o.
5
Let b(q) = q**2 + 7*q + 3. Let k be b(-7). Solve -2*w = k*w - 3*l + 6, w + l - 2 = 0 for w.
0
Let a = 155 - 150. Solve -o - 3*o + x = 0, 4*o + a*x = 24 for o.
1
Let j = -5 - -30. Solve -4*k = -3*r + 2*r - j, r = -2*k + 5 for k.
5
Let b(k) = -3*k + 3. Let h be b(6). Let v = -10 - h. Solve -5*s - 16 - 8 = -2*d, 5*s + 10 = -v*d for s.
-4
Let o be 4/4 - (1 + -9). Let h(i) = 13*i + 8. Let l(g) = -6*g - 4. Let p(k) = 2*h(k) + 5*l(k). Let b be p(-2). Solve -6*t = f - t + o, -2*t = b for f.
1
Suppose -5*c - g + 20 = 0, -5*c + 10 + 10 = 4*g. Let p(b) = 5*b**2 + 0*b - 6*b**2 + 3*b + c. Let r be p(3). Solve -3*k - 6 - 22 = -r*q, 3*q - 4*k = 28 for q.
4
Suppose 2*c + m - 3 = 0, 1 = 5*c - 4*m + 13. Let x(o) = -o**2 - 14*o - 25. Let w be x(-6). Solve c = p + 5*d - w, 3*d - 4*d = -3*p + 5 for p.
3
Let x(k) = 6*k - 10*k - 14 + 5. Let l be x(-3). Solve -5*b + 13 = -l*g, b + 3*g - 7 = -4*b for b.
2
Let g(a) = -3*a - 4. Let y be g(-4). Solve -2*x + 4 + y = -n, 0 = 5*n + 5*x for n.
-4
Let n = 96 + -67. Solve 4*t - 3*l - n = -8*l, 22 = -3*t + 5*l for t.
1
Suppose 0*k = k. Let q(i) = i. Let g be q(k). Solve 0 = -0*a - 3*a - 5*w + 6, g = -4*w + 12 for a.
-3
Suppose -u = 2*u + 3. Let f be u + 0/(-2) + 25. Suppose 3 = -2*w + 7. Solve 5*v = -0*v + j - 15, -w*v + 4*j = f for v.
-2
Let r = -3 + 3. Suppose -3*o - 1 + 7 = r. Solve -u - o*f - 2*f + 15 = 0, -4*u = 4*f - 24 for u.
3
Suppose -5*k + 17 = 5*l - 13, 4*l - 4*k = 0. Let f be l/(1 + (2 - 2)). Solve c + 4*g + 12 = 0, c - g = f*g + 12 for c.
0
Suppose -12*k = -9*k - 12. Solve -13 + 1 = -4*d - k*n, 3*n - 8 = -4*d for d.
-1
Suppose 0*k = 3*x + 4*k - 32, -3*x + 60 = -3*k. Let z = -13 + x. Solve -8*v + 16 = -4*v, -z*v + 22 = -2*a for a.
-5
Let d be 4*3/2*1. Suppose -d*b + b = -4*h + 10, 5*b + 10 = 2*h. Solve -2*k = -4*r - h*r - 2, r - 7 = -k for r.
2
Let f be 3/(-24)*-2*4. Let h be (-3)/6*f*-2. Suppose -3*b - 3 - h = -4*m, 5*b + 5*m = 5. Solve -4*q + 5*c - 3 - 1 = b, -5*q - 5 = 3*c for q.
-1
Let s be 3/(-2) + 27/6. Suppose -2*j + 7*o - s*o + 8 = 0, 0 = -4*j + 4*o + 20. Solve -2*f = -5*v + j - 14, 5*f + 2*v = 20 for f.
4
Let s be 2/1*(-4)/(-2). Solve 2 = s*g + 2*w + 8, 4*w = 2*g + 18 for g.
-3
Let r be 0 + (2 + 1)/3. Solve -2*z + 3*z - r = 0, -2*k + 11 = 5*z for k.
3
Let i(b) = b**3 - b**2 + 1. Let o(a) = 4*a**3 + 3*a**2 - a + 3. Let u(j) = -3*i(j) + o(j). Let h be u(-3). Solve f + 3*k + 21 = 4*f, 0 = 5*f - 4*k - h for f.
2
Let m be -5*(-1)/(15/6). Let y(u) = m*u**2 + 4*u**2 - u**3 - 3*u - 2*u**2. Let s be y(2). Solve -4*l + 5*l - s*d + 1 = 0, -4*l = -4*d + 4 for l.
-1
Let z = 31 - 29. Suppose -19 = -j + 4*c, -z*j - 2*c - 6 = c. Let i(q) = q + 2. Let w be i(2). Solve -5*n + 3 = w*k, 2*k - 3*k = j*n + 1 for k.
2
Let r(f) be the second derivative of f**3/3 - f**2 - f. Let q be r(3). Solve -q*h + u = 2 - 0, -3*h - 2*u + 4 = 0 for h.
0
Suppose 6*m + 5 = 7*m. Solve -20 = 4*h - 4, q + m*h = -22 for q.
-2
Let s = 11 - 18. Let r = -4 - s. Solve -2*v + v + 8 = 3*y, -r*v + 10 = 2*y for v.
2
Let b be (-60)/(-35) - 2 - (-60)/14. Solve 0*g - 1 = -4*g - o, -16 = -4*g + b*o for g.
1
Let k = 1 - 3. Let h be k/(-3)*(-108)/(-8). Let q be h/6 - 1/(-2). Solve 4*m - q*m + 28 = 4*d, 4*d - 4 = -4*m for d.
5
Suppose -3*d + 9 = 3*u, 3*u = -3*d + 4*d - 3. Let c = 21 - d. Solve -3*r = 3*z + 27, 4*z + c + 3 = -r for z.
-4
Let j(y) = 4*y**3 - y**2 - y + 2. Let h be j(1). Solve -h*l + 5*z - 25 = 8, -2*l - 3*z = -11 for l.
-2
Suppose -9*a = -8*a - 40. Solve -2*g - 3*h + a = -7*g, 5*h = -5*g for g.
-5
Let n be 39/6 - (-1)/(-2). Let d = -17 - -27. Let o = d - n. Solve 0 = -a - 3*j + 12, -o*j + 3 = -4*a + j for a.
3
Let q(x) = -x**3 + 13*x**2 - x + 13. Let i be q(13). Solve 4*k = -4*m - i*k + 16, -k = -4*m - 9 for m.
-1
Let z = 8 + 38. Let l = -30 + z. Solve 0 = 4*b - l, 2*s - 3*s + 2*b = 10 for s.
-2
Let g(i) = -i**3 - 14*i**2 + 16*i + 19. Let v be g(-15). Solve x = 2*d + 8, 24 = 6*x - 2*x - v*d for x.
4
Let j = 1 - 0. Let o be 4/((-2)/(-1) + 0). Suppose 0 = -4*u + o*h + 26, -4*u + 4*h = -3*u - 24. Solve -j = 4*q - 2*s + 3, -2*q + 8 = u*s for q.
0
Suppose 4*j - 36 = -2*k, -k - 4*j + 28 - 2 = 0. Let l = 19 - k. Suppose 4*m + 3*c = 2*m + l, -m = -3*c. Solve m*i + 2*d + 8 + 7 = 0, -2*i - 4*d - 10 = 0 for i.
-5
Suppose 4*d - o - o = 42, d + o = 6. Suppose -d - 5 = -p. Solve -p = k - 7*a + 3*a, -2*k = -2*a + 10 for k.
-2
Let f = -52 + 52. Solve -5*l + 2 = n - 3, -n = f for l.
1
Let i be (-3)/5*(-7 - 8). Suppose 0 = 2*j - 2*z + 6, -j + 2*j + i = 3*z. Let a = 6 - 4. Solve a*q = 2*t + 3*t, j = 4*q + t for q.
0
Let a = -76 - -81. Solve 3*l - 7*l = -2*f + 10, 0 = 2*f + a*l + 17 for f.
-1
Let g(f) = -f**2 - 7*f - 15. Let o be g(-6). Suppose h - 1 + 15 = 0. Let b = o - h. Solve -2*r + 2*z = 10, -b + 15 = -2*r + 3*z for r.
-5
Let i(r) = -r - 6. Let x be i(-12). Suppose -4*t + x = -2*t, 3*t + 3 = 3*o. Solve 0 = 4*w - d + 9, -5*w + o*d - 1 = 2 for w.
-3
Let o be 5 + 2 + (1 - 3). Suppose 5*f - 6*t = -o*t, -2*t = 4*f. Let s = 8 - 5. Solve f = -s*u + 12, -3*n - 4*u + 3*u = 11 for n.
-5
Suppose -22 + 7 = -5*n. Let m(w) = 4*w**2 + 4. Let j be m(n). Suppose -2*h - 2*h = -j. Solve -4*y - 3*d - 20 = 0, -3*y + h = -0*y - 4*d for y.
-2
Suppose -4 = -5*b + 4*b. Let i(a) = 8 + 5 + a**2 - 21 - 2*a + 11. Let y be i(2). Solve 3*f + 2*f - 21 = -y*j, -b*j + f = -5 for j.
2
Let o be 9/6*4/6. Let b be (-1 - o)/(1*-2). Let w = 1 - b. Solve z + 4*t + 12 = w, t = -5*z + 3*t - 16 for z.
-4
Let t be 1*2 + 1*(-4 + 6). Solve -t*p - 21 = -4*s + p, -16 = s + 3*p for s.
-1
Let z = 533 - 777. Let n be z/(-10) - (-4)/(-10). Solve -7*g + n = -5*g + 4*w, 5*g + 4*w = 36 for g.
4
Let h(v) be the first derivative of -v**3/3 - 4*v - 1. Let c be h(0). Let m(u) = -u + 1. Let x be m(c). Solve -2*p - 23 = -0*p + 5*d, 2*d + x = -5*p for p.
1
Suppose 2*u = 18 - 8. Suppose 4 = 3*a - 2*a. Let k(c) = 8*c + 1. Let g be k(a). Solve -5*r + g = 5*p - 2, 3*p - u*r = -11 for p.
3
Let | {
"pile_set_name": "DM Mathematics"
} |
06. Does p = 239?
True
Let k = -115.9 - -117. Let o = 0.99 + -0.09. Let t = k + o. Is -10 greater than t?
False
Let w be (-4374)/1460 - (-6)/2. Let y = -14573/6570 - w. Let m = y + 17/9. Is 3 greater than or equal to m?
True
Suppose 0 = -2*r - 0*r. Let m = -5 - r. Suppose -13*i + 0*i = -0*i. Is m not equal to i?
True
Suppose 5*s + d - 37 = 0, s + d - 17 = -4*d. Let y(v) = v**2 + 3*v + 6. Let r = 13 + -16. Let p be y(r). Which is bigger: p or s?
s
Let o(j) = -5*j + 35. Let x be o(7). Which is bigger: x or -11/13?
x
Suppose 0 = -2*u + 17 + 5. Let q be (9 - u) + (-1 - 3). Which is smaller: q or -5/6?
q
Let u be (-4)/(-14) - 88/210. Which is smaller: u or 1?
u
Let k = 7384/765 + -48/5. Let d = 1/17 + k. Which is bigger: 1 or d?
1
Let j = 3 - -4. Let f(r) = -r**3 + 8*r**2 - 4*r - 6. Let v be f(j). Suppose -v = q - 4*c, 0*c - 3*c + 15 = 0. Which is bigger: 4 or q?
q
Let d(c) = 4*c**2 - 2*c + 1. Let h be ((-4)/10)/(14/70). Let u be d(h). Let x = 16 - u. Does x = -5?
True
Let l = -1 - -16. Suppose 11*b - l*b + 20 = 0. Suppose 2*v = -b*t + 70, 2*t - 2*v - 7 - 7 = 0. Is t at least as big as 13?
False
Let w be (37/(-2))/(2 - 0/1). Let z = w - -107/12. Let k = -0.8 - -1.5. Is k < z?
False
Let s = -2.8 + 3. Let o = 17.2 - s. Let w = o - 17. Is w at least -1.2?
True
Let r(n) = -n - 8. Let u be r(-4). Let t be (-1)/u - (-99)/36. Let d = -3 + 2. Is t smaller than d?
False
Suppose 8*d + 22 = 70. Suppose d*c + 260 = c. Is c at most as big as -53?
False
Let a = -350 + -169. Which is greater: -520 or a?
a
Suppose 20*s = 6 - 26. Which is greater: s or 6/17?
6/17
Suppose -3*a - 26 = -4*x, -2*x - 3*x + 2*a + 29 = 0. Suppose -x*z = -z. Suppose z = -r + 3*r. Which is bigger: -2/9 or r?
r
Let a = -327 + 327. Let r = 14.1 - -0.9. Let m = r + -13. Is a at least m?
False
Let l be 21 - 18 - 18/(-11). Let a = 50/11 - l. Let s(g) = g**3 + g + 1. Let w be s(-1). Is a less than w?
False
Let n = -5 + 8. Let o = 47876/13 - 3680. Which is smaller: o or n?
o
Let b = 908745/113 + -8042. Let c(w) = -w + 3. Let q be c(2). Is b less than or equal to q?
True
Let x = 318 - 319. Is -4/871 > x?
True
Suppose -17*s - 112 + 95 = 0. Let w = -289/1407 - -1/67. Which is bigger: w or s?
w
Let b be (30/(-72)*-2)/(0 + 5). Do b and 0 have the same value?
False
Let q = 2621 + -2598.976. Let a = q + -0.024. Let g = -23 + a. Which is smaller: g or 1.1?
g
Let q = -406 - -3650/9. Let a be (-2)/11 - (-46)/11. Suppose 5*r - 3*g = r + 2, -5*r + 3 = -a*g. Is r smaller than q?
True
Let w(c) = 2*c - 3. Let v be w(4). Let f = -933 - -935. Which is smaller: f or v?
f
Let v = -45 + 25. Let i = 21 + v. Which is bigger: i or 2/13?
i
Let p = 63 - 66.3. Let z = 3.3 + p. Is z less than 0?
False
Let d(z) = -z + 7. Let c be d(8). Suppose -56 = 7*h - 3*h. Let s = c + h. Is s < -15?
False
Let a be (-4 - 88/(-28))*-7. Let s be (-13)/(-5) + a/(-10). Suppose 5*c - 6*c + 2 = -n, -4 = 3*c + s*n. Is c less than 1/13?
True
Let i(l) = -l**2 + 10*l + 29. Suppose 0 = -d + 4 + 8. Let u be i(d). Are u and 4 nonequal?
True
Suppose -58*l + 16*l = -42. Suppose -5*j - 4 = -14. Is j greater than l?
True
Let t = 31.1 - 29.3. Which is smaller: t or 1.1?
1.1
Let p be 1 + (1 + (-1 - -130) - -4). Let j = p - 135. Which is greater: j or -1/27?
j
Suppose -v + 39 = -3*q, -2*v + 26 = 2*q - 4*q. Let z = q - -22. Let u = -10 + z. Is u < -4?
False
Let o(d) = d**2 + d - 1. Let i be o(0). Suppose -1 = -3*x + 2. Is x less than i?
False
Let o = 229 - 173. Is o at most as big as 53?
False
Let i be ((-3032)/14)/(2/(-7)). Suppose 4*o + 3*c = -3005, 3*c + i = -o - 0*o. Let n = o + 45687/61. Which is smaller: n or 1?
n
Let c = 345 - 344. Are c and -2/139 equal?
False
Let u(d) = 3*d**2 - 8*d + 5. Let q be u(4). Let l = q + -15. Which is greater: 16/3 or l?
l
Let k = -14971/7 + 2143. Which is bigger: k or 5?
5
Suppose -3*i = -15, s - 5*i + 46 = -2*s. Do -36 and s have different values?
True
Let r = 166 + -165. Is 434 < r?
False
Let x = 19 + -19. Let c be (-2 - (3 - x))/(-1). Do 5 and c have the same value?
True
Let s be 1/(-24)*-8*3. Is -3/148 greater than s?
False
Let v be (6/(-8) - 0)/(9/13104). Let i be (2 - v/548) + -4. Is -1 smaller than i?
True
Let m = 69 + -75. Let u = -0.3 + 0.3. Let p = m - u. Do p and -1 have the same value?
False
Let z = -46 + 31. Let x be z/10*4/6. Is -4/3 < x?
True
Suppose -32*k + 285 - 61 = 0. Does k = -2?
False
Suppose 0*q = -3*q. Let g be (-6)/(-42) - 20868/196301. Let b = -2/967 + g. Is q smaller than b?
True
Suppose -8 = 6*m - 8*m. Let d be (-12 - (0 - 2)) + m. Let p be ((-11)/88)/(1/d). Which is bigger: p or 1?
1
Let f = -166 + 204. Is 37 at least as big as f?
False
Let d be -4*((-45)/6)/5. Is -199 at least d?
False
Suppose -5*o + 0*o + i = 27, 10 = 5*i. Let x = o - -7. Suppose -50*w + 3 = -47*w. Which is greater: x or w?
x
Let t(u) = -4*u + 33. Let a(l) = -3*l + 22. Let g(c) = 7*a(c) - 5*t(c). Let y be g(-11). Which is bigger: -1/62 or y?
y
Let h = 6 + -3. Let k be -2 - 6*3/(-6). Is h >= k?
True
Let o be 50/(-6)*(-10 - -3 - -1). Let n = o + -55. Do n and -3 have different values?
True
Let q = 32 + -53. Is q greater than -131/6?
True
Let p = -0.98 + 0.24. Let s = p - 0.26. Which is bigger: s or 0.039?
0.039
Let i(l) = -l**3 - 8*l - 19. Let k be i(-2). Do k and 0 have different values?
True
Let q(p) be the second derivative of 0 + p**2 - 1/6*p**3 + 3*p. Let h be q(-2). Which is smaller: h or 0?
0
Let k = -487/1255 + -3/251. Is k bigger than -1292?
True
Let f = -0.14 - 0.06. Let n = -0.1 + 0.22. Let i = 0.08 + n. Is i at most as big as f?
False
Let g = -63 - 10. Let q = -72.94 - g. Which is smaller: q or -2?
-2
Suppose q - 2*q + 1 = -y, -2*y - 5*q - 2 = 0. Let x be 2/((-12)/(-3))*0/y. Which is smaller: x or 1/45?
x
Let k be 1/1 + (-2 - -1). Let i = 46 - 44. Let t be i/(-11)*(-489)/(-30) + 3. Is t at most k?
False
Let g = -1716.3 + 1716. Let l = 10 - 3. Which is greater: g or l?
l
Let w = 9/46 + -25/598. Let k(j) = j**2 - 5*j + 4. Let a be k(4). Let v(t) = -t + 1. Let d be v(a). Is w <= d?
True
Let y = -0.42 - 42.58. Let a = y + 39. Is -3/7 at most as big as a?
False
Suppose 0 = -4*l - l + 5*u - 5, 4*l = -4*u + 36. Let i be (-64)/(-16) - (0 - l). Suppose 3*b - 34 + 10 = 0. Is b bigger than i?
False
Let r(m) = -2*m - 7. Let n be r(-6). Suppose -2*j - n = 7. Suppose -3*q - 2 - 16 = 0. Is q at most j?
True
Let i(a) be the first derivative of a**4/4 - a**3/3 + a**2/2 - a + 2. Let u be i(1). Which is greater: u or -13/11?
u
Let c = -25 + 17. Let p(b) = -7*b - 12. Let t(s) = -11*s - 18. Let k(n) = c*p(n) + 5*t(n). Let a be k(-10). Which is smaller: -1 or a?
a
Let t(g) = -g**3 - g**2 + 11*g - 6. Let z be t(3). Let k be z/6 + (3 + -3 - -1). Is k <= -0.66?
False
Let k = -882 + 881.92. Let f(y) = y + 7. Let v be f(-5). Is v less than k?
False
Let i = -2078.3 + 2078. Which is greater: -0.02 or i?
-0.02
Suppose -k = -8 + 6. Let u be -23 + 3 + k + -2. Let n be (-5)/u*(-16)/(-14). Do 3 and n have the same value?
False
Let i be -690*3*(-6)/(-27). Let n = -1867/4 - i. Let y = 239/36 + n. Is y != 0?
True
Let h(q) = -40*q + 8. Let t be h(3). Let b be 24/t*4/18. Which is smaller: 0 or b?
b
Let r(s) = s + 2. Let m be r(6). Let f = -8 - -8. Let c be f - (2 + 1 + -12). Are c and m non-equal?
True
Let p = 371.77 + -372. Which is greater: p or -0.17?
-0.17
Let r be (-267)/(-9)*(-14)/6. Let w = r - -69. Are w and -1 equal?
False
Suppose 34*p + 5 = 35*p. Is p greater than 1?
True
Suppose -41 = 2*v - 9. Let q = 4 + v. Let k = -12 - q. Which is smaller: -1/45 or k?
-1/45
Suppose 5*o = -44 + 114. Suppose o*n = 10*n. Let r be n/(-5) - (3 + 1). Are -3 and r unequal?
True
Suppose h - 20 = 2*z, 185 - 57 = 5*h - 3*z. Let k = -30 + h. Let c = -0.85 + -0.15. Are k and c nonequal?
True
Let o be (-17)/17 - (-63)/62. Is o <= 1?
True
Let n = 76 + -76. Is -1/86 at most n?
True
Suppose -3*l = -3*p - 15, 5*p = 4*l - 3*l - 9. Suppose 6*o - 4*o = l. Suppose -24 = o*z - 4*z. Do z and 12 have different values?
False
Let t(k) = 3*k**2. Let i be t(1). Suppose 9 = -l + i*c, 3*c + 2 - 5 = 3*l. Suppose -l*g = -3*o - 0*o + 9, -5*o - 3*g = -15. Which is bigger: 3/4 or o?
o
Let i be (12/(-5))/(-6 - (-12 - 30/(-4))). Let c be (4 - 2)*(-3)/(-6). Which is smaller: c or i?
c
Let b be 0 + (-6 - -13) + -6 + -1. Is 5/82 at most as big as b?
False
Let p be (-193)/1 + 1 - -1. Which is | {
"pile_set_name": "DM Mathematics"
} |
48*q - 27. Give -v(c) - x(c).
-c**2 + 49*c + 29
Let u = -1 - -11. Let q(x) = 3*x**2 - x - 2. Let d(o) = -3 + 1 + 7*o**2 - 3 - 2*o. Suppose 36*l + 12899 = 12755. What is l*d(b) + u*q(b)?
2*b**2 - 2*b
Let p(y) = 40*y**2 + 90*y + 3. Let t(j) = -41*j**2 - 112*j - 4. Determine 6*p(x) + 5*t(x).
35*x**2 - 20*x - 2
Let d(r) = -45*r + 3. Let i(o) = -1593 + 793 + 799 + o + 14*o. Determine 6*d(j) + 17*i(j).
-15*j + 1
Let l(u) = 119*u - 5. Let w(s) = -309*s + 14. What is -8*l(o) - 3*w(o)?
-25*o - 2
Let a(f) = 41*f**2 + 48*f - 6. Let n(t) = 10*t**2 + t + 1. Calculate -a(q) + 4*n(q).
-q**2 - 44*q + 10
Let q(j) = -j**2 - j. Let r(n) = -n**3 + 2*n**2 + 671*n - 2. Determine -2*q(u) - r(u).
u**3 - 669*u + 2
Let g(w) = 50*w - 13. Let t(s) = 35*s - 13. What is 6*g(h) - 5*t(h)?
125*h - 13
Let c(j) = -j. Let p(x) = -x**2 - 2*x. Let w = -5 - -2. Suppose -9936*d = -9960*d + 48. Give d*p(o) + w*c(o).
-2*o**2 - o
Let y(m) = -m**2 + 5*m + 222. Let b(a) = -3*a - 112. Give -5*b(w) - 3*y(w).
3*w**2 - 106
Let i(w) = -11*w**2 - 8*w - 2. Let k(m) = 3*m**2. Calculate i(v) + 4*k(v).
v**2 - 8*v - 2
Let g(z) = 18*z**3 + 12*z**2 - 20*z - 24. Let l(x) = 2*x**3 + x**2 + 3*x - 2. What is -g(k) + 12*l(k)?
6*k**3 + 56*k
Let u(c) = -13*c**3 + 21*c**2 - 11*c + 907. Let t(k) = -6*k**3 + 9*k**2 - 5*k + 454. Calculate -7*t(n) + 3*u(n).
3*n**3 + 2*n - 457
Let s(k) = 2*k + 3. Let n(i) = -2*i - 2. Let m = -113 - -129. Suppose 5*a = b + 18, 5*a = a + m. Determine b*s(z) + 3*n(z).
-2*z
Let g(c) = -300*c**3 - 40*c**2 - 40. Let a(u) = -23*u**3 - 3*u**2 - 3. Suppose -2*o - 4 = 0, 185 - 221 = x - 2*o. Calculate x*a(h) + 3*g(h).
20*h**3
Let v(l) = 6*l**3 - 5*l**2 - 4*l. Let j(b) be the second derivative of -b - 11/20*b**5 + 3/4*b**4 + 7/6*b**3 + 0*b**2 - 35. Determine 4*j(f) + 7*v(f).
-2*f**3 + f**2
Suppose -8965 + 10171 = 201*m. Let h(q) = 2*q + 8. Let r(w) = -2*w - 7. Let y = -2 - -7. Calculate m*r(i) + y*h(i).
-2*i - 2
Let x(v) = 764*v + 3. Let m(l) = -2299*l - 8. Give 4*m(o) + 11*x(o).
-792*o + 1
Let h(p) = 493*p**2 - 27*p + 20. Let w(o) = 164*o**2 - 10*o + 7. What is -4*h(m) + 11*w(m)?
-168*m**2 - 2*m - 3
Let p = 70 + -76. Let y(m) = 5. Let k(g) = 28. Let t(s) = p*k(s) + 33*y(s). Let w(z) = -z + 1. What is -t(c) - 3*w(c)?
3*c
Let x(q) = q**2 - q + 1. Let p(t) = t - 1. Let d be p(-6). Let k(s) be the first derivative of -49 - 3/2*s**2 + 4/3*s**3 + 4*s. Give d*x(r) + 2*k(r).
r**2 + r + 1
Let i(b) = -b + 1. Let v(c) be the third derivative of -c**5/12 + c**4/24 - c**3/6 - 2*c**2 - 1174. Give 3*i(l) + v(l).
-5*l**2 - 2*l + 2
Let g(m) = m**2 + 2*m + 13. Let n(y) = -79 + 312 - 78 - 80 - 76. Calculate -g(f) - 3*n(f).
-f**2 - 2*f - 10
Let i(x) = -99*x**2 + 8 - 5 + 102*x**2 + 5*x. Let s(m) = -3*m**2 - 5*m - 4. Determine 4*i(y) + 3*s(y).
3*y**2 + 5*y
Let v(g) = g**2 - 23*g + 2. Let n = -7455 - -7448. Let s(d) = -d**2 + 34*d - 3. Calculate n*v(b) - 5*s(b).
-2*b**2 - 9*b + 1
Let l(i) = -10*i**2 + 4. Suppose -6237 = -3*j - 18*j. Let o = j + -324. Let b(n) = 69*n**2 - 27. What is o*l(s) - 4*b(s)?
-6*s**2
Let h(n) = -6*n**2 - 7*n. Let j(u) = -u**2 - u. Let t(d) = 23*d - 896. Let i be t(39). Determine i*h(v) - 5*j(v).
-v**2 - 2*v
Let w(l) = 1. Let s(y) be the second derivative of y**3/3 - 4*y**2 + y. Let o = 94 + 6. Suppose 0 = 15*h - 85 + o. Determine h*s(f) - 6*w(f).
-2*f + 2
Let l(f) = -99*f + 5. Let z(c) = -10*c + 4. Let j(u) = 6*u - 1. Let b(k) = 5*j(k) + z(k). What is -11*b(a) - 2*l(a)?
-22*a + 1
Let p(x) = -6*x**2 + 18*x + 489. Let c(m) = -4*m**2 + 13*m + 326. Calculate -7*c(y) + 5*p(y).
-2*y**2 - y + 163
Suppose -2*f + f = 5. Let p be 1/((-2 + (-156)/(-76))/1). Let v(s) = p*s + 18*s - 21*s - s**2 - 9*s**2. Let u(m) = -3*m**2 + 5*m. Calculate f*v(o) + 16*u(o).
2*o**2
Let l(a) = -7*a**3 + 3. Let h = 229 + -226. Let q(g) = -3*g**3 - 5*g**h + 14 - 26*g**3. Calculate -14*l(z) + 3*q(z).
-4*z**3
Let h = -95 + 92. Let z(q) = 1. Suppose 5*r - 10 - 170 = 0. Suppose -2*g + 34 = r. Let t(c) = c + 1. Calculate g*t(u) + h*z(u).
-u - 4
Let g(n) be the second derivative of 1/2*n**2 + 0 - 202*n. Let u(a) = -a - 2. Let c(x) = x**3 + 6*x**2 - 1. Let q be c(-6). Determine q*g(s) - u(s).
s + 1
Let r(h) = -17858*h. Let b(s) = 3578*s. Give -28*b(v) - 6*r(v).
6964*v
Let u(j) be the second derivative of 29*j**4/3 + 7*j**2 + 6359*j. Let s(a) = -23*a**2 - 3. Determine 14*s(t) + 3*u(t).
26*t**2
Let q(m) = 3*m + 3. Let k be 15*(0 + -2)/(3/1). Let j be 3*(1 - k/(-6)). Let f(l) = -3*l - 3. What is j*q(z) - 3*f(z)?
3*z + 3
Let v(j) = 248*j**2 + 18*j + 3. Let o(k) = 3*k**2 + 3*k + 1. Determine -6*o(h) + v(h).
230*h**2 - 3
Let t(g) = 41*g**2 + 2*g - 2. Let j(m) = -247*m**2 - 13*m + 13. Suppose 2*x = -3*o + 38, 11*o - 12*o + 4 = 0. Calculate x*t(l) + 2*j(l).
39*l**2
Let k(j) be the third derivative of 7*j**6/120 - 7*j**5/60 - j**4/8 - 7*j**3/6 - j**2 - 2679*j. Let m(q) = -q**3 + q**2 + q + 1. Calculate -k(v) - 6*m(v).
-v**3 + v**2 - 3*v + 1
Let j(r) = -r**3 - r**2 + 43*r - 1. Let z be j(6). Suppose l = -47 + 49. Let k(m) = -4*m + 3. Let q(a) = 9*a - 5. What is l*q(t) + z*k(t)?
-2*t + 5
Let h(w) = 5*w**2 - 2 - 98*w + 174*w + 2 - 82*w. Let s(n) = 9*n**2 - 13*n. What is -7*h(x) + 4*s(x)?
x**2 - 10*x
Let v(t) = -25*t**2 + 7*t - 7. Let k(b) = -17*b**2 + 5*b - 5. Let z be -2*3/(-33) + -57*8/88. Give z*v(l) + 7*k(l).
6*l**2
Let m(v) = -v**2 - v. Let j(c) be the second derivative of 7*c**4/6 - 5*c**3/6 - 3*c**2/2 + 2*c - 211. Determine -j(u) + 5*m(u).
-19*u**2 + 3
Let h(w) be the third derivative of w**6/30 + w**4/3 - w**3/6 + 3*w**2. Let t(g) = g**3 + g. Suppose -1032 = -9*j - 987. Determine j*t(s) - h(s).
s**3 - 3*s + 1
Let h(m) = 2*m**2 - 22*m. Let c(t) be the second derivative of -t**4/6 + 7*t**3/2 - 6342*t. What is -5*c(x) - 6*h(x)?
-2*x**2 + 27*x
Let t(j) = -1919*j**2 - 3*j - 17. Let y(b) = -641*b**2 - b - 6. What is 6*t(q) - 17*y(q)?
-617*q**2 - q
Let m(f) = 10*f**3 - 23*f**3 + 3 + 15*f**3 + f. Let y(j) = 2*j**3 + 2*j + 2. Suppose c - 3*b + 13 = b, -3*c - b = -13. Give c*y(z) - 2*m(z).
2*z**3 + 4*z
Let g(p) = -3*p - 7. Let y = 332 - 332. Suppose -3*h + 3*t = -y*t + 30, -3*h - 5*t = 6. Let c(j) = -9 + 4 - 5 + 0 - 4*j. Determine h*g(m) + 5*c(m).
m - 1
Let z(i) = 48*i**3 - 16*i**2 - 16*i - 16. Let h(a) = 16*a**3 - 5*a**2 - 5*a - 5. Suppose -14*k - 28 = 167 + 29. Give k*h(t) + 5*z(t).
-16*t**3
Let h be (224/16 - -30) + -41. Let k(b) = b + 3*b**2 - 1 - 9*b**2 + b. Let s(w) = -w**2. Calculate h*s(c) - k(c).
3*c**2 - 2*c + 1
Let z(r) = 19*r - 657. Let t(n) = 2*n - 7. Give -10*t(c) + z(c).
-c - 587
Let i(y) = 2*y**3 + 5*y**2 - 7*y + 5. Let t = 3430 - 3425. Let f(h) = h**3 + 2*h**2 - 4*h + 2. What is t*f(s) - 2*i(s)?
s**3 - 6*s
Let p(c) = -28*c + 1071. Let l(z) = 7*z - 255. Give 9*l(i) + 2*p(i).
7*i - 153
Let t(z) = -73*z**2 - 9622*z - 34. Let d(r) = -9*r**2 - 1203*r - 4. Give 17*d(n) - 2*t(n).
-7*n**2 - 1207*n
Let h(r) = 599*r**3 + 4*r**2 - 4*r - 12. Let w(m) = 1166253*m**3 + 7787*m**2 - 7787*m - 23361. What is -7787*h(j) + 4*w(j)?
599*j**3
Let n(x) = -x - 16. Let f(a) = 2*a + 18. Let z(g) = 5*f(g) + 6*n(g). Let p(k) = k**2 + k. Give 4*p(w) - z(w).
4*w**2 + 6
Let i(u) = 6*u + 12. Suppose v + 2*l + 3 = 0, 6*v = 7*v - 3*l - 12. Let f(b) = -11*b + 22*b - 1 - 3 - 13*b. What is v*i(w) + 8*f(w)?
2*w + 4
Let o(t) = -970*t**2 + 80. Let a(u) = -4. What is 20*a(p) + o(p)?
-970*p**2
Let p(c) = -2*c - 35. Let i(g) = -1044*g + 34. Determine -i(x) - p(x).
1046*x + 1
Let y(a) = -137*a - 16. Let t(j) = -132*j - 17. Calculate 5*t(c) - 4*y(c).
-112*c - 21
Let d(b) = -347*b - 4. Let c(n) = -1362*n - 17. Give 2*c(s) - 9*d(s).
399*s + 2
Let k(w) = -11*w - 139. Let y(p) = 8*p + 145. What is 4*k(c) + 3*y(c)?
-20*c - 121
Suppose -6*o + 85 - 1375 = 0. Let k = o + 223. Let w(x) = -3*x**3 + 5*x**2 - 5. Let f(c) = -4*c**3 + 8*c**2 - 8. Calculate k*w(v) - 5*f(v).
-4*v**3
Let g(c) = -2*c**3 - c**2 - 12. Let b(x) be the second derivative of 3*x**5/10 + x**4/6 + 35*x**2/2 - 2295*x. What is 4*b(z) + 11*g(z)?
2*z**3 - 3*z**2 + 8
Let m(q) = -11*q**3 + 3*q**2 - 6*q. Let b(d) = 5*d**3 - d**2 + 3*d. Let w = -10505 - -10508. Give w*m(l) + 7*b(l).
2*l**3 + 2*l**2 + 3*l
Suppose -4*i - 67 = 3*d, -i + 67 = 3*d + 113. Let z(w) = -9*w**2 + 4*w - 17. Let l(h) = -4*h**2 + 2*h - 8. What is d*l(v) + 6*z(v)?
-2*v**2 - 2*v + 2
Let l(r) = -36*r**2 - 24*r. Let y(j) = -24*j**2 - 25*j. Let v(n) | {
"pile_set_name": "DM Mathematics"
} |
-43
Let y be (-1)/(15/(-10) + 1). Let c be -12*y/4*4/21. Let j be (4 - (5 + -2))*-1. Sort j, c, -2/5.
c, j, -2/5
Let p = -3.97 + -61.23. Let o = -156 + 91. Let c = p - o. Put -2, c, -2/11 in ascending order.
-2, c, -2/11
Let r(k) = 2*k**3 - k**2 - 5*k + 2. Let v be r(2). Suppose -5*a - 3*h = 32, -5*h - 13 = a + 11. Sort a, 8, v in decreasing order.
8, v, a
Let a be (-3)/2 + ((-2)/(-4) - (-47 + 48)). Put 4, -3, 1, 0, a in decreasing order.
4, 1, 0, a, -3
Let t(i) = -i**2 - 27*i + 62. Suppose 174 = -28*r + 22*r. Let g be t(r). Put g, -20, 1, -5 in increasing order.
-20, -5, 1, g
Let u be (-168)/87 + -7 + 603*11/957. Put 0.502, 0, -0.3, 0.5, u in increasing order.
u, -0.3, 0, 0.5, 0.502
Suppose 12*n - 13*n = -7. Suppose -9*b + n*b = 0. Suppose b = 2*x - 6 + 14. Put -1, x, 0 in decreasing order.
0, -1, x
Let k = -12831 - -12830. Let t = -1 - -2. Suppose 4*q + 12 + 2 = 2*h, h + 13 = -2*q. Put t, 6, h, k in increasing order.
h, k, t, 6
Let q be (-403)/248 + -6*4/64. Sort 3, q, -117 in ascending order.
-117, q, 3
Let y be (18 - -5)/((0 - 3) + 4). Let m(i) = i**2 - 23*i - 1. Let k be m(y). Sort 1.1, k, -2/9 in descending order.
1.1, -2/9, k
Let i = -13862 + 13860. Suppose 5*s + 11 = -4. Put 1, i, s, -18 in descending order.
1, i, s, -18
Let a(h) = 11*h - 310. Let j be a(28). Let q(i) = i**3 + 5*i + 10. Let f be q(j). Sort 5, -4, -2, f in increasing order.
f, -4, -2, 5
Let f be (2 - 1) + 8/(-3). Let w = 2155/2 + -10773/10. Put f, w, -1, -1/6 in increasing order.
f, -1, -1/6, w
Suppose 10*d - 10 = 5*d. Suppose 5*t + 65 = 0, 191*b + 2*t + 46 = 195*b. Suppose -4*w + 20 = w. Put d, 0, w, b in descending order.
b, w, d, 0
Let x be ((-102)/24*18/(-51))/((-6)/8). Put 3, 5, x, -5 in decreasing order.
5, 3, x, -5
Let j be ((943/164)/((-6)/8))/((-4)/(-6)). Put -4, 0.4, 1, j in decreasing order.
1, 0.4, -4, j
Let a = -1622 + 1622.05. Suppose -5*w - 2 + 27 = 0. Sort w, a, -0.1.
-0.1, a, w
Let z(b) = -b**2 + 20. Let m be z(-4). Suppose 0 = -7*j + m*j - 15. Put 0, 0.5, -3, j in increasing order.
j, -3, 0, 0.5
Let y be 1/5 - (-48)/10. Let d(c) = c**2 - 50*c - 978. Let o be d(65). Put y, 4, o in decreasing order.
y, 4, o
Let p(t) = -t - 69. Let o be p(-19). Let a be (-6)/12*o/(-20). Sort -0.27, a, 3.
a, -0.27, 3
Let q = -0.043 - -0.006. Let w = -13.237 + 13.3. Let s = q - w. Put 3, -1/9, s in decreasing order.
3, s, -1/9
Suppose 5*c + 20 = 20*h - 18*h, c + h - 3 = 0. Let p(l) = l + 1. Suppose x - 12 = -3*x + m, 0 = m. Let s be p(x). Put -5, c, s in descending order.
s, c, -5
Let n be -9 - (-5 + -4) - (-1 - 10). Suppose n*q + 16 = 7*q. Sort q, -1, 3, 2.
q, -1, 2, 3
Suppose -5*f + 2*q - 75 = 7, 4*f = 5*q - 69. Let n(a) = -a**3 - 13*a**2 + 49*a + 20. Let v be n(f). Sort v, 5, 3, -37 in ascending order.
-37, 3, v, 5
Let x be (112/63)/(-8) - ((-274)/18 + 7). Suppose -j - 2*b = 1, j - 5*b + 4 = -4. Let g = 2 - j. Put x, g, -3, 2 in decreasing order.
x, g, 2, -3
Suppose -75 = -188*a - 479 - 160. Sort 2/85, 0.2, a, 7, 1/2 in descending order.
7, 1/2, 0.2, 2/85, a
Let h = -1.5 + 2. Let a = -173 + 172.892. Let y = 2.892 - a. Put y, -0.2, h in ascending order.
-0.2, h, y
Let z = -450 - -414. Let i = -40 - z. Sort i, 0, -26.
-26, i, 0
Suppose 7*t - g - 8 = 8, -4*g - 12 = -2*t. Let b = -5 - 1. Sort -19, b, t, 4 in decreasing order.
4, t, b, -19
Let s be (2*1/(-5))/1. Let w = 419.37 + -422.37. Put w, 0.2, s in decreasing order.
0.2, s, w
Let u = 19 - 42. Let g = 0.796 - -22.004. Let m = u + g. Put -5, -0.4, 2, m in descending order.
2, m, -0.4, -5
Let n be (-3 - -5)/(120/(-70)). Let d = 2.9 + 1.1. Put d, n, -2 in descending order.
d, n, -2
Suppose -514 = 230*m - 1434. Sort -5, m, -2, 7 in descending order.
7, m, -2, -5
Let r = -1146/13 - -88. Let p = -1.4 - -1. Let f = -127 + 127.5. Sort f, p, r in ascending order.
p, r, f
Let d = 22364 - 22361. Put d, 4, 481 in decreasing order.
481, 4, d
Let k(z) = 2*z**2 + 54*z + 3. Let u be k(0). Sort 5, -1, -26, u.
-26, -1, u, 5
Suppose 5*w = -4*v - 95 + 89, 0 = -5*v - 3*w - 1. Put 2, v, -10, -9 in ascending order.
-10, -9, v, 2
Let c(k) = 2*k - 9. Let w be c(6). Suppose w*h = 6*h + 12. Suppose 179*g + 1213 + 1409 = 1053*g. Sort h, g, -6 in decreasing order.
g, h, -6
Let i(u) = 2*u + 11*u + 52 - u - u**2 + 29. Let b be i(-5). Sort 21/10, b, 1, 3/5 in increasing order.
b, 3/5, 1, 21/10
Let x = -141.91 - -169.981. Let h = 0.071 - x. Let o = h - -28. Put -8/3, -0.1, o in decreasing order.
o, -0.1, -8/3
Let p be ((121/165)/(-11))/((-3)/15). Put -2/9, 1, p, 0.068 in descending order.
1, p, 0.068, -2/9
Let b be 364 + -357 + 2/(-2). Sort 7, 4, b.
4, b, 7
Suppose 2*b = j - 2, -4*j + 8 = -54*b + 57*b. Put 11, 5/3, -4, b in decreasing order.
11, 5/3, b, -4
Let p(q) = -35*q - 209. Let g be p(-6). Let k be ((-128)/24)/8 - g. Sort -3, k, -4, -9 in descending order.
k, -3, -4, -9
Let q be (-13)/(26/(-8))*(-3)/(-4). Suppose v + 8 = q*d, -d - 5*v + 28 = d. Sort -4, d, 21.
-4, d, 21
Let n(f) = 199*f + 1593. Let a be n(-8). Let p(j) = -2*j - 5. Let h be p(-4). Let q be -4*(h + 10/(-2)). Put a, q, -0.1, -1/2 in decreasing order.
q, a, -0.1, -1/2
Let s = -463 + 476. Let t be 22/(-6) + 2 - (s + -14). Let w = 4 + -6. Sort w, t, 6/17 in decreasing order.
6/17, t, w
Let a = 933.8 - 934. Let n = -0.115 + -0.885. Sort a, 2, 3, n in descending order.
3, 2, a, n
Let p = 10 + -5. Suppose p*u + 3 = 23. Suppose 3*l + 3 = 0, -2*l = -3*z - 0 + 2. Put u, z, 3 in descending order.
u, 3, z
Let j = 3585 - 3588. Put 14, 1/2, 0.3, -2/11, j in ascending order.
j, -2/11, 0.3, 1/2, 14
Let r be (-17)/(-3) - (0 - (-5)/(-15)). Let t be (6/(-9))/((-4)/r). Sort t, 6, -3 in increasing order.
-3, t, 6
Suppose -2*y - 9 = -2*p - 3, 11 = -y - 3*p. Sort -37, -1, y, 5.
-37, y, -1, 5
Let v = 359 + -355. Suppose 0 = 5*f + n + v*n + 25, -2*f + 4*n = -20. Let r = 2 - 5. Put r, f, 1/10, -2 in increasing order.
r, -2, f, 1/10
Let q = -379 - -378.6. Let n be ((-51)/(-56))/1 - (-8)/(-28). Put n, 2, 2/7, q in decreasing order.
2, n, 2/7, q
Let x = 77/148 - 10/37. Let j = 39 - 39.11. Let f = -0.89 + j. Sort x, f, -1/9, -0.5 in increasing order.
f, -0.5, -1/9, x
Let g = 30.38 + -1.78. Let p = g - 28.5. Let f be (0 + 2)/((-2)/(-3)). Sort f, p, -4.
-4, p, f
Let v = -7031.18 + 7031. Put 3, 5.5, -2, v in increasing order.
-2, v, 3, 5.5
Let v = -11074/19 + 583. Let m = v - -23/95. Put -2/3, m, 3 in increasing order.
-2/3, m, 3
Let v = -8596 + 8605.9985. Let s = v + 0.0015. Suppose 12 = -2*o + 2*h, o + 15 = -o + 3*h. Sort o, -4, s, -2 in increasing order.
-4, o, -2, s
Let u = -24.904 - -24.904. Suppose 0 = 3*r - 0*r - 9. Let c = 0.05 + 0.05. Put u, c, r, -2 in decreasing order.
r, c, u, -2
Let z be 1*((-168)/(-7))/(-3). Let v be 1/(-1) + z/((-400)/30). Sort v, -1, 2/5, -31 in ascending order.
-31, -1, v, 2/5
Suppose -2*k + m + 1 = -0*k, k + 3*m + 3 = 0. Let g(d) = 4 + 155*d - 159*d - d**2 + 2 - 2. Let p be g(k). Sort p, -5, 5 in increasing order.
-5, p, 5
Let n = -0.5 + 0. Let u be ((-212)/(-10))/(110/(-275)). Let k be -5 + ((-27)/(-297))/((-1)/u). Put n, 1/6, -2/3, k in increasing order.
-2/3, n, k, 1/6
Let l = -357 - -360. Suppose -h + l*t = 2*t + 4, -5*t = 3*h - 28. Put h, 24, -1 in decreasing order.
24, h, -1
Let m = 5.3 - 4.88. Let c = 0.99 + m. Let j = c + -57.41. Put -3, -2/9, j in descending order.
-2/9, -3, j
Let z = -1936 - -1936. Put -5, z, 902 in descending order.
902, z, -5
Suppose -62 - 62 = 65*n + 6. Sort 4, -5, n, -178 in decreasing order.
4, n, -5, -178
Let c = -14277 + 14278. Put 48, -0.005, c in descending order.
48, c, -0.005
Let a be (-26)/40 + (-5)/(-20). Let s(m) = -m**3 + 34*m**2 + 55*m - 705. Let j be s(35). Sort j, a, -0.2, 0.2 in decreasing order.
0.2, -0.2, a, j
Let k = -142 - -153.9. Let y = k + -12.4. Let b = 0.1 + -7.1. Put b, 1, y in ascending order.
b, y, 1
Let g be ((-312)/16)/((-27)/(-9)) - 1/(-2). Sort 0.2, g, -1.88 in descending order.
0.2, -1.88, g
Let h = 97.7 + -100. Let t = h - -2.4. Suppose 3*d = -3, -1 = q + 3*d - 2*d. Put 4, -9, q, t in decreasing order.
4, t, q, -9
Let q be 10/(-8)*(-33 - -29). Sort -14, 4, -8, q.
-14, -8, 4, q
Let g = 7.7 - 7.6645. Let l = g - -3.5345. Let w = l - 0.57. Put -3, w, -4/23 in increasing order.
-3, -4/23, w
Let x = -8 - -11. Let g = -300 + -240.2. Let k = g + 540. Put -5, k, x in increasing order.
-5, k, x
Let g(k) = k**2 + 1. Let a( | {
"pile_set_name": "DM Mathematics"
} |
ssstsuusffvttfuutft. What is prob of sequence stut?
25/5814
What is prob of sequence dl when two letters picked without replacement from pdwlrzlwwrr?
1/55
Two letters picked without replacement from hhqhqhqqqqq. What is prob of sequence hq?
14/55
Calculate prob of sequence hbbg when four letters picked without replacement from bghhghbb.
3/140
What is prob of sequence rs when two letters picked without replacement from rds?
1/6
Four letters picked without replacement from {x: 1, a: 1, l: 2, c: 1, g: 2, u: 1}. Give prob of sequence gcxa.
1/840
What is prob of sequence luap when four letters picked without replacement from {a: 1, l: 2, u: 3, c: 3, k: 3, p: 1}?
1/2860
Three letters picked without replacement from {v: 3, u: 3}. Give prob of sequence uuu.
1/20
Calculate prob of sequence jy when two letters picked without replacement from yjyyyyj.
5/21
Two letters picked without replacement from clnmffff. Give prob of sequence ln.
1/56
Two letters picked without replacement from {f: 2, d: 16}. What is prob of sequence df?
16/153
What is prob of sequence sp when two letters picked without replacement from jjsjopo?
1/42
Calculate prob of sequence igmg when four letters picked without replacement from {i: 2, m: 1, g: 4, k: 2}.
1/126
Four letters picked without replacement from vynpyvcw. What is prob of sequence ycvp?
1/420
What is prob of sequence lz when two letters picked without replacement from lwzlwzzl?
9/56
Two letters picked without replacement from yuyf. What is prob of sequence yf?
1/6
Four letters picked without replacement from {o: 2, m: 1, k: 1, g: 2, b: 1}. What is prob of sequence oogm?
1/210
Calculate prob of sequence hz when two letters picked without replacement from hhbhzhhhh.
7/72
Two letters picked without replacement from lilbb. Give prob of sequence bl.
1/5
Two letters picked without replacement from {z: 1, r: 1, e: 1, g: 1, y: 2, d: 1}. Give prob of sequence dr.
1/42
Three letters picked without replacement from hghhhhghhgghhhhhhh. What is prob of sequence ghh?
91/612
Three letters picked without replacement from euee. What is prob of sequence uee?
1/4
Calculate prob of sequence ps when two letters picked without replacement from {c: 3, p: 2, s: 1, m: 4, n: 2}.
1/66
What is prob of sequence kc when two letters picked without replacement from {c: 10, j: 3, k: 1, q: 4}?
5/153
What is prob of sequence ngg when three letters picked without replacement from nnnnnnnnnnnngngnnnnn?
1/190
What is prob of sequence ods when three letters picked without replacement from sdooonhnoodosns?
6/455
Two letters picked without replacement from hlsog. What is prob of sequence lo?
1/20
Calculate prob of sequence gg when two letters picked without replacement from {v: 4, d: 2, g: 2, h: 5, o: 4}.
1/136
Calculate prob of sequence pcf when three letters picked without replacement from ppcppppcpfppcpp.
11/910
Calculate prob of sequence oei when three letters picked without replacement from ereionh.
1/105
Calculate prob of sequence yagb when four letters picked without replacement from yyaxbggyyyay.
1/495
Two letters picked without replacement from {x: 1, w: 18, u: 1}. Give prob of sequence xu.
1/380
Calculate prob of sequence de when two letters picked without replacement from {k: 6, e: 1, d: 10}.
5/136
What is prob of sequence tt when two letters picked without replacement from {m: 2, p: 3, o: 8, t: 2}?
1/105
Three letters picked without replacement from kiww. Give prob of sequence ikw.
1/12
Two letters picked without replacement from {t: 3, e: 1, o: 1, k: 3, a: 5, z: 6}. Give prob of sequence ok.
1/114
Four letters picked without replacement from {e: 4, x: 5, a: 1}. What is prob of sequence exae?
1/84
What is prob of sequence wt when two letters picked without replacement from wwtttttttt?
8/45
Two letters picked without replacement from {g: 7}. What is prob of sequence gg?
1
Calculate prob of sequence aj when two letters picked without replacement from jruaja.
2/15
Two letters picked without replacement from {a: 2, u: 2, v: 1, r: 2, l: 1}. Give prob of sequence va.
1/28
Calculate prob of sequence qt when two letters picked without replacement from qlmqqmqt.
1/14
What is prob of sequence jwq when three letters picked without replacement from wzeqjeeeqeqeqeqzezee?
1/1368
Three letters picked without replacement from {g: 4, k: 4, v: 2, r: 1, u: 9}. Give prob of sequence grg.
1/570
What is prob of sequence cm when two letters picked without replacement from ccccccmccccmcccic?
7/68
Calculate prob of sequence ag when two letters picked without replacement from aggaaapapaaggagaaga.
11/57
Three letters picked without replacement from {w: 8, b: 2}. Give prob of sequence bwb.
1/45
Two letters picked without replacement from agawawwwwggwgw. Give prob of sequence aa.
3/91
Two letters picked without replacement from tcrofjc. Give prob of sequence co.
1/21
Three letters picked without replacement from {y: 14, s: 4}. What is prob of sequence sss?
1/204
Calculate prob of sequence rrfu when four letters picked without replacement from upuprrfuuruuupuruu.
1/612
Calculate prob of sequence bdbt when four letters picked without replacement from {t: 2, b: 2, d: 2}.
1/45
What is prob of sequence ii when two letters picked without replacement from svbbsbtistvsbiubb?
1/136
What is prob of sequence xxxr when four letters picked without replacement from xrrrxrrrr?
0
Two letters picked without replacement from bbmlm. What is prob of sequence lm?
1/10
Two letters picked without replacement from qqqqqqqqjqqqqqq. Give prob of sequence jj.
0
Calculate prob of sequence iwb when three letters picked without replacement from wwbvvwvwijlb.
1/165
Four letters picked without replacement from aanpnalypeppnpn. What is prob of sequence neal?
1/2730
Calculate prob of sequence kl when two letters picked without replacement from {l: 3, k: 13}.
13/80
Calculate prob of sequence gmu when three letters picked without replacement from {h: 5, e: 2, m: 1, g: 1, u: 1}.
1/720
Three letters picked without replacement from wsbtswtssssbstswsss. Give prob of sequence wbb.
1/969
What is prob of sequence gg when two letters picked without replacement from fiigqffgqiifhff?
1/105
Two letters picked without replacement from kspsssxspssskssess. What is prob of sequence ep?
1/153
Three letters picked without replacement from {w: 3, x: 2, p: 7, r: 8}. What is prob of sequence rrw?
7/285
Calculate prob of sequence qz when two letters picked without replacement from {j: 1, q: 2, r: 8, z: 2}.
1/39
Calculate prob of sequence ve when two letters picked without replacement from {m: 8, v: 6, a: 3, e: 1}.
1/51
Calculate prob of sequence aac when three letters picked without replacement from {c: 5, a: 8}.
70/429
What is prob of sequence qjq when three letters picked without replacement from {n: 1, x: 2, d: 2, q: 1, j: 2}?
0
Four letters picked without replacement from tbumamuubmmbfabma. What is prob of sequence mtbf?
1/2856
What is prob of sequence dz when two letters picked without replacement from {e: 2, z: 1, h: 1, d: 1}?
1/20
What is prob of sequence okkk when four letters picked without replacement from {o: 2, k: 6, t: 7}?
2/273
Calculate prob of sequence gsgs when four letters picked without replacement from {g: 10, s: 4}.
45/1001
Three letters picked without replacement from kce. What is prob of sequence cke?
1/6
Two letters picked without replacement from fqfsqsssqqqqq. Give prob of sequence ss.
1/13
Two letters picked without replacement from {h: 1, n: 2, a: 3, e: 1}. Give prob of sequence ah.
1/14
Two letters picked without replacement from lllllllllpllllllll. What is prob of sequence ll?
8/9
Three letters picked without replacement from {b: 3, z: 1, y: 1, u: 2, n: 3}. Give prob of sequence yuz.
1/360
Calculate prob of sequence gnzh when four letters picked without replacement from {n: 1, x: 2, g: 1, z: 2, h: 1, m: 1}.
1/840
Two letters picked without replacement from toonoxoxo. Give prob of sequence xx.
1/36
Three letters picked without replacement from {l: 2, a: 1, n: 1, e: 1, f: 2, v: 1}. Give prob of sequence fla.
1/84
Three letters picked without replacement from {q: 4, z: 5, b: 2}. What is prob of sequence bqq?
4/165
Three letters picked without replacement from {e: 2, w: 4, g: 3, u: 2, n: 2, j: 3}. Give p | {
"pile_set_name": "DM Mathematics"
} |
i(6).
-13
Let g = -9 - -13. Let l(f) = -3 + 2*f**3 + 9*f**2 + 4*f + 2*f**2 + 2 - 3*f**3 - 8*f**2. Determine l(g).
-1
Let b(f) = 6*f**3 + f**2. Suppose t - 4*t = 0. Let a be 34/(-30) + (-12)/(-90). Let l = a + t. Give b(l).
-5
Let t(o) = 3*o - 14. Let n(c) = c - 5 + 4 - 4. Let u(z) = 8*n(z) - 3*t(z). Give u(2).
0
Let k(v) = v**2. Let y(a) = -2*a**2 + 4*a - 2. Let r(w) = -3*k(w) - y(w). Let t(j) = j**2 + 7*j + 8. Let n be t(-4). Give r(n).
2
Let o(r) = 3*r - r - 2 + 5*r - 7 - 6*r. Determine o(-10).
-19
Let f(m) = 14*m + 2. Suppose z + 4*n = -3*z + 8, 3*z = -5*n + 8. Calculate f(z).
16
Let n(a) = -2*a. Let f(o) = -3*o + 1. Let l(v) = f(v) - 3*n(v). Give l(1).
4
Let g(q) = -q**3 - 6*q**2 - 7*q - 5. Let m(w) = -2*w - 2. Let t be m(-3). Suppose 0 = -t*p - p - 20. Let f be (-4)/(4 + (p - -1)). Determine g(f).
-9
Let i(g) = -5*g**2 + 2*g - 1. Suppose -11*s + 3*f - 2*f = -26, 4*s = 3*f + 20. Determine i(s).
-17
Let u(i) = 23*i**3 - 14*i**2 - 6*i + 3. Let b(d) = 27*d**3 - 14*d**2 - 7*d + 3. Let y(a) = -6*b(a) + 7*u(a). Calculate y(-14).
3
Let t be (-806)/(-156) - (7 + -2). Let r(x) be the second derivative of 0 + 1/20*x**5 + t*x**3 + 2*x**2 - 5/12*x**4 - x. Determine r(3).
-11
Let f(s) = -s**2 - 4*s - 1. Let q(r) = r**3 - 8*r**2 + 8*r - 11. Let x = 101 - 94. Let n be q(x). Calculate f(n).
-1
Let h(c) = 2*c - 3. Let d be h(4). Let i(s) = -4*s**3 - s**2 - s + 3. Let z(l) = -5*l**3 - l**2 - l + 4. Let n(k) = d*z(k) - 6*i(k). Calculate n(0).
2
Let w(y) be the third derivative of -y**2 + 0 - 1/12*y**4 - 1/10*y**6 + 0*y**5 - 1/6*y**3 + 0*y. Let d = -7242 - -7241. Give w(d).
13
Let s(w) = 4*w**3 + 8 + 5*w**2 + 6*w - 4*w**3 - w**3. Let l be 8/(-6) + 765/27. Suppose 3*j = -9 + l. Calculate s(j).
8
Let q(l) = -l**2 + 66*l**3 + 1 + 67*l**3 - 132*l**3. Let w(z) = -z**2 - 10*z. Let u be w(-10). What is q(u)?
1
Let k = -38 + 33. Let g(q) = -3*q - 10. What is g(k)?
5
Let t be (-2 + 14 + -7)*-1. Let u(q) be the third derivative of q**5/60 + q**4/12 - 2*q**3/3 + 2*q**2. What is u(t)?
11
Let d(b) = 7*b + 0 + 3 + b**2 - b. Suppose -49*w = -45*w + 20. Give d(w).
-2
Let t(c) be the second derivative of 5*c**3/3 + 26*c. What is t(-1)?
-10
Let p(r) = 3*r + 9. Let u(f) = 6*f + 10. Let b(y) = -3*p(y) + 2*u(y). Determine b(5).
8
Let n(r) = r**2 - 7*r + 1. Let z(k) = 2*k**3 - 2*k**2 - 2*k + 1. Suppose -8*p + 4 = -6*p. Let o be z(p). Give n(o).
-9
Let a(l) = 6*l**2 + 4*l + 10. Let p be a(-3). Let u = p - 48. Let k(g) = -2*g. Let o(b) = -b. Let d(s) = -3*k(s) + 4*o(s). Calculate d(u).
8
Let n(p) = -4*p + 66. Let s(o) = 2*o - 33. Let i(t) = -3*n(t) - 5*s(t). Determine i(14).
-5
Let v(n) be the second derivative of n**6/120 + n**5/30 - 5*n**4/24 - n**3/2 + 5*n**2 - 13*n. Let j(w) be the first derivative of v(w). Determine j(-4).
-15
Suppose -3 = -2*z + 3. Suppose -4*g = 3*x - 21, 5*g = x + 2*x + 6. Let p(i) = 0*i**3 + 3*i**x - 3*i**3 + z*i**2 - i**3 - 2 - i. Give p(2).
0
Let w(t) = -2*t + 17*t - 16*t. Suppose -3*v = -v - 4. Let d = v + 2. Calculate w(d).
-4
Let n(p) = -p**3 + 20*p**2 - 7*p - 7. Let s(j) = -2*j**2 + 1. Let a(h) = n(h) + 6*s(h). Give a(7).
-1
Let o(u) = -u**3 + 17*u**2 + u - 14. Let v be o(17). Let h(j) = 2*j**2 - 3*j + 7. Let d(c) = -c**2 + 3*c - 6. Let q(i) = v*h(i) + 4*d(i). Determine q(-3).
6
Suppose -17 - 3 = 2*q. Let t be 6/12 + q/(-4). Let k(x) = -x - x**t + 4*x - 3*x - 4*x - 6*x**2 + 1. Determine k(-5).
-4
Let d(m) = -103*m + 26*m + 30*m - 5 + 25*m + 23*m. Suppose -4*n = 4*y - 4, 4*y - 47 + 13 = 2*n. Determine d(y).
1
Let c(j) be the second derivative of 0 - 1/12*j**4 + 1/6*j**3 + 2/5*j**5 - 1/2*j**2 + 10*j. Give c(1).
7
Let d(m) = 5*m - 37. Let i be d(8). Let x(g) = -i*g - 20 + 0*g + 19. Determine x(5).
-16
Let k(s) = -3*s**2 + 2*s + 2. Suppose x + 0*x = 5*i + 146, -5*i + 2*x = 142. Let t be ((-16)/6)/((-20)/i). Let m = t - -2. Determine k(m).
-14
Let d(u) = -u**2 + 2*u + 1. Let p(r) = 6*r**2 - 12*r - 5. Let m(a) = -11*d(a) - 2*p(a). Suppose 5*o - 22 + 7 = q, 0 = 3*q - 5*o + 5. Give m(q).
-16
Let f(n) = -2*n + 11. Let i be (-260)/(-130) - 1*11*-1. Give f(i).
-15
Let s(y) be the first derivative of 3*y**2/2 + 32*y + 946. What is s(-9)?
5
Let z = 63 + -55. Let n(o) = o**3 + 4*o**2 + 2*o - 1. Let b be n(-3). Let k(p) = -p**2 + b + 4 - 2*p + 9*p. Determine k(z).
-2
Let x be (60/8)/(6/4). Let t(g) = -g + x + 6 - 9. What is t(4)?
-2
Let u = -43 - -46. Let w(i) = -u*i - i**3 - 36*i**2 + 4*i - 4 + 37*i**2. What is w(0)?
-4
Suppose -2*f - 16 = -6. Let x(l) be the third derivative of l**5/60 + 7*l**4/24 - l**3/3 + 8*l**2. What is x(f)?
-12
Let m(g) = 2*g**3 + 2*g**2 - 2*g. Let s = 948 + -950. Calculate m(s).
-4
Suppose 25 = 11*x - 6*x. Let n(z) = -z**3 + 6*z**2 - z - 2. Calculate n(x).
18
Let l(u) = 2*u - 21. Let n(t) = t - 11. Suppose 0 = 8*f + 15 - 71. Let x(p) = f*n(p) - 4*l(p). What is x(7)?
0
Let y(z) = -6 + 5*z + 5*z**2 + 0*z**2 - 4*z**2. Let f = 94 - 63. Suppose -15 = f*p - 28*p. Determine y(p).
-6
Suppose -5*u = -6*u + 3. Let n(v) = 4*v**2 - u + 5 - v**3 + 17*v - 20*v. Give n(4).
-10
Suppose 4*a = -5*t + 5*a + 14, 0 = -5*a - 20. Let g(w) = -13*w**2 - 12*w**2 + 26*w**t - 1. Give g(1).
0
Let h = -80 + 84. Let m be (-11)/9 + h/18. Let w(q) = -16*q**3 + q**2 - q - 1. What is w(m)?
17
Let i(d) = 24*d - 1. Suppose 0 = -3*o - 3*w, -5*o + 5*w - 26 = -36. Determine i(o).
23
Let w(y) be the second derivative of y**5/20 - y**4/6 + y**3/2 + y**2 + y - 27. Calculate w(-3).
-52
Let c(d) = 2*d**2. Let f = 107 + -204. Let z = -96 - f. Determine c(z).
2
Let o(j) be the second derivative of 3*j**5/4 - j**3/6 - j**2/2 + 2*j + 14. Give o(-1).
-15
Let r(h) = -10*h + 11. Let m(v) = -9*v + 9. Let l(a) = 6*m(a) - 5*r(a). Calculate l(4).
-17
Let o(t) = t**3 - 6*t**2 + 6*t - 9. Let n be o(6). Let i = n + -26. Let p(x) = -7*x**2 - 1. What is p(i)?
-8
Let c(a) = 2*a**3 + 0*a**2 - 4*a - a**3 + 3*a**2 + 1. Let p(g) = -3*g**2 - 4. Let u be (-2 - -1)*-2 + -2. Let x be p(u). Give c(x).
1
Let s(z) = -z**2 + 7. Let a be (-160)/(-26) + (-34)/221. Determine s(a).
-29
Let u(n) = n**2 - 3*n + 5. Let c be u(2). Let x(m) = 74*m**3 + m**2 - 3 + m - 75*m**c + 3*m**2 - 5*m**2. What is x(0)?
-3
Let n(t) be the third derivative of t**5/60 - t**3/2 - 2*t**2. Suppose 5*q + 4*r = 0, -r = q + 4*r. Determine n(q).
-3
Let p be 2 - -2 - (-6)/(-3). Let z(t) = -43 + t**p + 41 + 5*t + 5*t - 6*t. Calculate z(-4).
-2
Suppose -2*y = -s - 2 + 4, 4*s = -8. Let q(h) = 4*h + 4. Let o be q(y). Let u(w) = w**2 + 4*w + 2. Give u(o).
2
Let o(l) = -33*l**3 + 2*l + 1. Let h be o(-1). Let a(z) be the first derivative of 6*z + 0*z**2 + z**2 - 29 + h. Calculate a(-6).
-6
Let l(o) = 0*o + 0*o + 6*o. Let b(n) = -n**2 + 68*n - 68. Let y be b(1). Calculate l(y).
-6
Let z(j) = -j**3 - 11*j**2 - 2*j + 13. Let s(p) = -2*p**2 - 34*p - 11. Let u be s(-17). Determine z(u).
35
Let s(m) = 3*m - 9. Let j(g) be the first derivative of g**3/3 + g**2/2 - 3*g + 7. Let r be j(2). Suppose -5*n + r*n = -12. Calculate s(n).
9
Suppose -3*b - 4*d + 17 = -2*b, -d + 3 = 0. Let a(w) be the first derivative of w**3/3 - 2*w**2 - 4*w + 6. Calculate a(b).
1
Let a be (-1)/(-2)*(10 + -2). Let c(l) = l**2 - 6*l + 2. Let t be c(a). Let w be (-8)/6*(-27)/t. Let h(r) = r + 5. Determine h(w).
-1
Let j(h) = -23*h. Let w(z) = 4*z - 10. Let r be w(5). Suppose -5*y + 5 - r = 0. Determine j(y).
23
Suppose 28 = 4*i + 16. Let g(c) be the second derivative of 1/3*c**4 - 1/6*c**i + c**2 + 0 - 1/20*c**5 - 2*c. Give g(4).
-2
Let r(t) = t - 4. Let g be 10/(-4)*(52/20 + -5). Give r(g).
2
Let v = 10 - 5. Let b(p) = 6*p**3 + 4*p**2 + 3. Let z(x) = 5*x**3 + 4*x**2 - x + 2. Let u(t) = v*z(t) - 4*b(t). Determine u(-5).
-2
Let k(f) be the third derivative of f**6/120 + f**5/10 - f**4/12 - 5*f**3/6 - 511*f**2. Determine k(-6).
7
Let j(q) be the third derivative of q**4/24 - q**3/6 - 6*q**2. Let a(v) = -14*v + 167. Let k be a(12). Calculate j(k).
-2
Let v(x) = x**2 + 5*x + 3. Suppose -5*q - 22 = -2, -q - 10 = -2*h. Suppose -h*d - 11 - 1 = 0. Determine v(d).
-1
Let s(k) = k**2 - 12*k + 14. Suppose -4*j - 2*c = -9*j + 8, 0 = 2*j + 4*c - 8. Suppose -50 = -5*z + 5*l, -5*l + 27 = j*z - 0*l. Calculate s(z).
3
Let m(k) be the third derivative of 2*k**5/5 - 40*k**2. Calculate m(1).
24
Let b(n) = n**3 + 5*n**2 - 3*n + 2. Let h(l) = -l**2 + 6*l + 49. Let k be h(11). Give b(k).
-16
Let k = 3 - 0 | {
"pile_set_name": "DM Mathematics"
} |
t q(d) = c*g(d) - 5*h(d). Calculate the remainder when 49 is divided by q(7).
15
Suppose 0 = -f - 3 + 10. Suppose 0 = 13*q - 12*q + 32. Calculate the remainder when 2 + (1 - 1 - q) is divided by f.
6
Let x(w) = w - 15. Let u be x(8). Let d = 0 - u. Calculate the remainder when ((-8)/6)/((-8)/108) is divided by d.
4
Let s = 13 - -5. What is the remainder when 4795/55 - (-10)/(-55) is divided by s?
15
Let k = -279 - -335. What is the remainder when k is divided by 12?
8
What is the remainder when (-29)/(-2 - -4 - (0 - -3)) is divided by 5/(-3 + (-21)/(-6))?
9
Let t = -11 + 15. Suppose q + 20 = -t*q. Calculate the remainder when (-1)/(1*q/52) is divided by 4.
1
Suppose 535 = -11*l + 14*l - 2*d, -4*l + 5*d = -725. What is the remainder when l is divided by 59?
57
Suppose 5*h = 2*h - 3, -4 = -2*x - 4*h. Calculate the remainder when (15 + -11)*23/x is divided by 7.
2
Suppose -2*m + 33 = -n, 2*m - n - 18 = -5*n. Let h = m - -2. Calculate the remainder when h is divided by 3.
2
Let u(x) be the third derivative of x**6/120 - x**5/10 + 5*x**4/12 + x**3/3 - 19*x**2. Calculate the remainder when 53 is divided by u(5).
26
Let m(g) = -4*g**2 + 6 - 16*g**3 + 3*g**2 - 28*g + 29*g. What is the remainder when m(-2) is divided by 43?
42
Suppose 5*u + m = 2*u + 9, -5*u + 5*m - 5 = 0. Suppose 0 = a + 4*g + 6, -2*g + 6 = -a + u*g. Calculate the remainder when 18 is divided by -2*7*3/a.
4
Suppose -9*j = -378 + 144. Calculate the remainder when j is divided by 16.
10
Let u(i) = i**3 - 3*i**2 - 38*i + 2. Let l be u(8). Suppose 19*o - 38 = l*o. Calculate the remainder when o is divided by 16.
6
Let d(g) = 27*g**2 - 6*g + 6. Suppose 0 = -2*b - 2*b + 8. Calculate the remainder when d(b) is divided by 30.
12
Suppose 7*n - 229 = -4*v + 4*n, 0 = -3*v - 3*n + 168. Suppose 17*t = 12*t + 255. Let x = -30 + t. Calculate the remainder when v is divided by x.
19
Let f = 3100 - 2175. Calculate the remainder when f is divided by 9.
7
Let u = 2475 - 2444. Suppose 100 - 10 = f. What is the remainder when f is divided by u?
28
Suppose 2*f = -5*g + 3655, 4*g - 47*f + 49*f - 2922 = 0. What is the remainder when g is divided by 21?
19
Suppose -6*t = -t - 25. Suppose v - 5*v = -4*f - 32, 0 = 4*f + t*v - 4. Calculate the remainder when 20 is divided by 27/(-18) + (-54)/f.
8
Let s = -56 + 87. What is the remainder when 181 is divided by s?
26
Suppose 5*d - d = 572. Let g = d + -75. Suppose -4*i - i + 115 = 0. What is the remainder when g is divided by i?
22
Let w(r) = r**2 + 10*r + 12. Let j be w(-9). Suppose -2*h - 40 = -j*h. What is the remainder when h is divided by 17 - 1*(0 + 3)?
12
Let q = -6 - -8. Suppose -4 - q = -3*j. Suppose j*r - 100 = -3*w - w, -5*r = -2*w + 62. What is the remainder when 102 is divided by w?
24
Let r(m) = -22*m**3 - m**2 - m. Suppose 0 = -12*k + 5*k. Suppose -i - 13 = -t - 2*t, 4*i - 20 = k. What is the remainder when r(-1) is divided by t?
4
Suppose -3*l + 823 = 3*k + 253, -4*k = 2*l - 756. Calculate the remainder when k is divided by 24.
20
Let i = 183 - 165. Calculate the remainder when 215 is divided by i.
17
Let r(v) = -23*v + 140. Let h be r(6). Let p be 2/8 + 158/8. Suppose 3*k - p = h*k. What is the remainder when k is divided by 8?
4
Suppose 40*w = -790 + 4510. Calculate the remainder when w is divided by 13.
2
What is the remainder when 371 is divided by 3*(120/4 + 1)?
92
Let y(g) = -19*g**2 - 326*g - 29. Calculate the remainder when 87 is divided by y(-17).
21
Let p = -1307 + 1518. What is the remainder when p is divided by 22?
13
Let k(f) = 2 + 0 + f**2 - 3*f - 2*f. What is the remainder when k(5) is divided by -3*(-4)/(-6) + 4?
0
Let k(z) be the first derivative of 43*z**4/4 + z**3/3 - z - 1. Let t = 97 - 96. Calculate the remainder when k(t) is divided by 11.
10
Suppose j = d + 4*d + 98, j - 119 = -2*d. Calculate the remainder when j is divided by 29/1 + (-30)/(-9)*108/(-60).
21
Let c(x) = x**2 - 7*x + 13. Suppose -2*q = -4*o + 12, -q = o - 5*o + 8. Let d = 3 - o. Calculate the remainder when c(6) is divided by d.
1
Let f(k) = -3*k**2 - 106*k - 69. What is the remainder when f(-31) is divided by 21?
19
What is the remainder when 439 is divided by (-360)/(-16) + (-12)/8?
19
Let f = -206 - -228. Calculate the remainder when 393 is divided by f.
19
Suppose -2*j - 3*j - 5*u = -295, 3*u = j - 59. What is the remainder when 1398/4*4/6 is divided by j?
56
Suppose 0 = 32*j - 565 - 651. Calculate the remainder when j is divided by 4.
2
Calculate the remainder when 180 is divided by 10/(10/57) + -9.
36
Let l(t) be the third derivative of 1/12*t**4 + 0*t + 11*t**2 + 1/6*t**3 + 0. What is the remainder when l(8) is divided by 10?
7
Let r = -46 + 106. Suppose -4*p = -8*p + r. Calculate the remainder when 26 is divided by p.
11
Suppose -12 + 132 = 5*a - 5*x, 2*x = 3*a - 74. Suppose 0 = -j + a - 5. Let y = 93 + -54. Calculate the remainder when y is divided by j.
18
Let b = -147 + 65. Let t = b + 87. Calculate the remainder when t is divided by 3.
2
Let k(v) = 3*v**3 - 3*v**2 + 7*v - 9. Calculate the remainder when k(3) is divided by 30.
6
Suppose -3*c + 221 = -1. Calculate the remainder when 214 is divided by c.
66
Suppose -13 = -4*i + 63. Let q(c) = -c**2 + 6*c + 4. What is the remainder when i is divided by q(6)?
3
Suppose 4*i - 24 = -2*o, -5*i + 0 = o - 12. Calculate the remainder when 59 is divided by o.
11
Let d = 7 + -3. Let o be d - 6/2 - -3. Let g = -1 + o. What is the remainder when 3 is divided by g?
0
Let k = 50 - 13. Suppose -k = -d + 2. Calculate the remainder when d is divided by 21.
18
Let x(n) = n**3 + n**2 - 2*n + 1. Suppose -6 = 2*y - 22. Let j = 12 - y. Calculate the remainder when x(2) is divided by j.
1
Let c(w) = w**3 - 15*w**2 - 15*w - 11. Suppose -4*x = 3*j - 61, 5*j + 81 = 4*x + 12. Calculate the remainder when 12 is divided by c(x).
2
Suppose -4*d - 1432 = -4*p, p + d + 0*d - 358 = 0. Calculate the remainder when p is divided by 30.
28
Let n(p) = 2*p**2 - 4*p - 45. Suppose 12 = 4*z - 2*z + 2*x, 3*z - 34 = 5*x. Calculate the remainder when n(z) is divided by 27.
24
Let o = -194 + 253. Calculate the remainder when o is divided by 21.
17
Suppose 0 = 29*b - 52 - 238. Suppose -12 = 2*t + 2*t. Let o = b + t. What is the remainder when o is divided by 5?
2
Suppose 8*x + 5*z = 10*x - 644, 2*z + 4 = 0. What is the remainder when x is divided by 7?
2
Suppose -2*y + a = -8, 0*y + 16 = 4*y - 3*a. Suppose y*h + 4 = -4. What is the remainder when (-84)/h + -1 - -1 is divided by 15?
12
Suppose 0*f + 77 = y - 4*f, 2*y - 2*f = 166. Suppose 11*a - 14*a = -9. Let r = a + 26. Calculate the remainder when y is divided by r.
27
Suppose 0 = -5*u, 6 = 2*c + 3*u - 16. Suppose c*y - 296 = 9*y. Calculate the remainder when y is divided by 25.
23
Suppose 4*v + h - 14 = 3*h, -4*v - 4*h + 20 = 0. Suppose v*c + 2*i = 20, 0 = -2*c + 3*i - 6. Calculate the remainder when c is divided by 2/(-4) - (-10)/4.
1
Let h(m) = m**2 + 4*m - 16. Let c be h(-7). Suppose -i = -c*i + 320. What is the remainder when i is divided by 27?
26
Let u = 163 - 103. Suppose 3*f + 5*o - 41 = 0, f - 2*f = -5*o + 13. Calculate the remainder when u is divided by f.
4
Let k(o) be the second derivative of o**3/6 + o**2 - 17*o. Calculate the remainder when 79 is divided by k(18).
19
Suppose -10*t = -12*t - 5*h + 31, -3*t + 12 = -4*h. What is the remainder when 52 is divided by t?
4
Let f(j) = -j**3 - 15*j**2 + j + 17. Let u be f(-13). Calculate the remainder when 52 is divided by (-13)/(-78) - u/12.
24
Let t = 493 - 257. What is the remainder when t is divided by 62?
50
Suppose -13458 = -25*p + 342. Calculate the remainder when p is divided by 15.
12
Let f = 58 - 28. Let h = 37 + -34. What is the remainder when ((-1)/(-2))/(3/f) is divided by h?
2
Let f(a) = -2*a**2 + 4*a + 3. Let q(d) = -6*d**2 + 14*d + 9. Let x(m) = -7*f(m) + 2*q(m). What is the remainder when 7 is divided by x(2)?
2
Let u = 56 + -29. Let d = -120 + 134. Calculate the remainder when u is divided by d.
13
Let z be ((-38)/(-6) + 3)/((-4)/(-12)). Let w = -8 + z. Calculate the remainder when 56 is divided by w.
16
Let f be (16 - 7 - 4)/((-2)/(-2)). Suppose -f*d = -59 - 191. What is the remainder when d is divided by 14?
8
Let g be (6/4)/((-2)/(-4)). Suppose 4 = s, 0*r - g*s = -4*r + 288. Let v(l) = 2*l**3 + 5*l**2 - 29*l + 7. Cal | {
"pile_set_name": "DM Mathematics"
} |
**5/60 + 121*t**3/3 + 44*t - 1. Let p(x) be the second derivative of v(x). Factor p(k).
2*k*(k - 7)*(k + 1)
Let r be (-1503418)/(-20033) - 4/(-134). Find o, given that -480/13*o**3 - 1450/13*o**4 + 250/13*o**5 + 608/13*o + r*o**2 + 96/13 = 0.
-2/5, 1, 6
Let y(p) be the first derivative of 2*p**3/3 + 4036*p**2 + 8144648*p + 2636. Factor y(g).
2*(g + 2018)**2
Let b be 2162*2/720 + 5 + -11. Let p(m) be the third derivative of 0*m - b*m**6 + 0*m**3 - 1/18*m**4 - 1/30*m**5 + 12*m**2 + 0. Factor p(w).
-2*w*(w + 1)*(w + 2)/3
Let q(p) be the first derivative of -2*p**3/45 + 65*p**2/3 + 652*p/15 + 2157. Solve q(g) = 0 for g.
-1, 326
Suppose 7*z**2 - 16 + 16 - 479*z - 565*z - 3*z**2 = 0. What is z?
0, 261
Let w(c) be the first derivative of 98*c**6 + 906*c**5/5 - 37341*c**4/16 + 1367*c**3 - 1473*c**2/8 - 45*c/2 - 1688. Determine b so that w(b) = 0.
-5, -2/49, 1/4, 3
Suppose -3*c = a + 7, -4*c + 3 = -5*c. Factor -2*q**3 - q**a - 7*q**2 + 0*q + 0*q**4 + 8*q**4 + 2*q.
2*q*(q - 1)*(q + 1)*(4*q - 1)
Let r = 591759/5 - 118351. Find o such that -r + 4/5*o - 1/5*o**2 = 0.
2
Let i(j) be the first derivative of 2*j**3/15 - 75*j**2 - 1508*j/5 + 6359. Factor i(v).
2*(v - 377)*(v + 2)/5
Determine j, given that 43/4*j**2 - 3/4*j - 15/4*j**4 + 31/4*j**3 + 0 = 0.
-1, 0, 1/15, 3
Let p(s) be the second derivative of -s**9/432 + 11*s**8/672 - 5*s**7/168 - 19*s**4/4 - s**3/2 - 182*s. Let o(r) be the third derivative of p(r). Factor o(z).
-5*z**2*(z - 1)*(7*z - 15)
Let c = 2242/1825 - 29/25. Let j = 33/584 + c. What is m in 0*m**3 + j*m + 1/4*m**4 - 1/8*m**5 - 1/4*m**2 + 0 = 0?
-1, 0, 1
Let x(s) be the first derivative of 5*s**2/2 - 7*s - 5. Let g be x(2). Find q, given that 12*q**2 - 177*q**g + 675*q**5 - 3*q - 90*q**4 + 8*q + 7*q = 0.
-1/3, 0, 2/5
Let w be (3/(-9))/(1222/(-49023)). Let m = 6/47 + w. Factor -243/4 - 3/4*r**2 + m*r.
-3*(r - 9)**2/4
What is f in 1 - 61/8*f**4 + 401/8*f**3 - 95/4*f**2 - 77/4*f**5 - 1/2*f = 0?
-2, -2/11, 2/7, 1/2, 1
Let a be 333/4*((-42)/6957)/1. Let j = -2/773 - a. Factor -3/4*g - j*g**2 + 1/4*g**3 + 0.
g*(g - 3)*(g + 1)/4
Let s(k) be the second derivative of k**4/66 - 35*k**3/33 + 234*k**2/11 - 9988*k. Suppose s(q) = 0. Calculate q.
9, 26
Let q(w) be the second derivative of -1/6*w**6 - 20/3*w**3 + 5/3*w**4 + 133*w + 0 - 5/42*w**7 + 0*w**2 + 3/2*w**5. Suppose q(b) = 0. What is b?
-2, 0, 1, 2
Suppose 2*w - 3*w**5 + 10*w**4 - 33276*w**2 + 33266*w**2 + 10*w**3 + 3*w**5 - 12*w**5 = 0. What is w?
-1, 0, 1/3, 1/2, 1
Let l = 92 + -167. Let u = 77 + l. Solve 5*m - 56 + 5*m**u + 99 - 53 = 0.
-2, 1
Let c be ((-32)/(-10))/(12/(-1800)). Let q = -3355/7 - c. Let -q - 1/7*y**2 + 6/7*y = 0. What is y?
1, 5
Solve 1/4*y**2 + 77/4*y - 39/2 = 0.
-78, 1
Suppose u + 5 = -3*i, -i - 3*u = -4*u - 5. Factor 8*o**4 - o + 6*o**3 - 16*o**2 + 7*o**3 + i*o**2 - o**3 - 15*o - 4*o**5.
-4*o*(o - 2)**2*(o + 1)**2
Let k(f) be the second derivative of -f**7/105 + 13*f**6/75 + 111*f**5/50 + 67*f**4/30 - 38*f**3/3 - 1358*f. Find q such that k(q) = 0.
-5, -2, 0, 1, 19
Let v(g) be the third derivative of -g**9/4032 + g**7/1120 - 22*g**3/3 - 111*g**2. Let z(c) be the first derivative of v(c). Factor z(p).
-3*p**3*(p - 1)*(p + 1)/4
Let y(n) = 2*n**2 - n - 592. Let c be y(-17). Suppose -12/5 + 9/5*l**3 + c*l**2 - 9/5*l - 3/5*l**4 = 0. Calculate l.
-1, 1, 4
Determine k, given that 4/5*k**3 + 3 - 32/5*k + 13/5*k**2 = 0.
-5, 3/4, 1
Let h(d) be the second derivative of 24/7*d**2 + 43/14*d**4 + 87/70*d**5 + 1/49*d**7 - 2*d + 9/35*d**6 + 1 + 30/7*d**3. Factor h(p).
6*(p + 1)**3*(p + 2)*(p + 4)/7
Let u(t) be the first derivative of 32/3*t**3 + 31 - 1/6*t**4 - 256*t**2 + 8192/3*t. What is i in u(i) = 0?
16
Let o be 19/(171/36)*(2 - -1). Let c be 7/o + (-76)/304. Find u, given that -c*u**2 + 0 + 0*u + 1/3*u**3 = 0.
0, 1
Let j(g) be the first derivative of g**5/690 - 7*g**4/276 + 2*g**3/23 + g**2/2 + 16*g + 80. Let p(z) be the second derivative of j(z). Factor p(v).
2*(v - 6)*(v - 1)/23
Let m = -277449 + 1387248/5. Find b, given that 0 - 4/5*b**2 + 0*b + m*b**4 - 1/5*b**5 + 0*b**3 = 0.
-1, 0, 2
Let r(q) = -q**2 + q - 1. Let v(l) = 2*l**2 + 11*l + 3. Let b = 62 + -47. Let s(k) = b*r(k) + 5*v(k). Solve s(i) = 0 for i.
0, 14
Let l(n) be the second derivative of -n**6/90 + 31*n**5/120 + 17*n**4/24 + 8*n + 19. Factor l(s).
-s**2*(s - 17)*(2*s + 3)/6
Suppose 18*o + 24 + 3/8*o**3 + 9/2*o**2 = 0. Calculate o.
-4
Let c = 31 - 12. Suppose 3*l - 9*n + 5*n + 11 = 0, -4*l - 3*n = -27. Factor 15*i**2 + c*i**4 + 5*i**l - 45*i**4 + 21*i**4 - 10 - 5*i.
-5*(i - 2)*(i - 1)*(i + 1)**2
Suppose -3*r + 9 = -0*r. Suppose 3 = -2*y + 7. Determine h so that 3*h**y - 2*h**4 - 18*h**3 + 18*h**r + h**4 - 2*h = 0.
-2, 0, 1
Suppose 3*v = -6, -o - 5*v = 2*o - 530. Let z be ((-56)/(-36))/7 - (-32)/o. Factor -1/5 + 1/5*f**5 - z*f**3 + 1/5*f + 2/5*f**2 - 1/5*f**4.
(f - 1)**3*(f + 1)**2/5
Suppose -2*o - 2*q = -4, -3*q - 20 = -3*o - 14. Factor -9*n**4 + 7*n - 7*n**3 + 3*n**2 + 8*n**4 + 6*n**o - 8.
-(n - 1)**2*(n + 1)*(n + 8)
Let r(i) = -1. Let t(v) = -32*v**2 - 316*v**3 + 20 - 32*v**2 + 311*v**3 + 74*v**2. Let u be 5/5*(0 - -1). Let p(f) = u*t(f) + 20*r(f). Solve p(k) = 0 for k.
0, 2
Let h = 57121/60 - 952. Let f(i) be the third derivative of -h*i**5 + 1/24*i**4 + 8*i**2 + 0*i + 0 + i**3. Determine g, given that f(g) = 0.
-2, 3
Let f be (1 - 7)*(-1284)/(-96)*4. Let z = 965/3 + f. Solve 2/3*v**3 + 0*v - z*v**4 + 0 + 2/3*v**2 - 2/3*v**5 = 0.
-1, 0, 1
Let u(i) be the second derivative of i**5/70 - 11*i**4/21 - 73*i**3/21 - 50*i**2/7 - 1431*i. Suppose u(t) = 0. What is t?
-2, -1, 25
Let n(z) be the first derivative of 4*z**5/15 + 928*z**4/3 + 284576*z**3/3 - 1729792*z**2/3 + 3474496*z/3 - 1098. Factor n(k).
4*(k - 2)**2*(k + 466)**2/3
Let h(p) be the second derivative of p**5/50 - 36*p**3/5 - 432*p**2/5 + 8*p + 36. Factor h(x).
2*(x - 12)*(x + 6)**2/5
Let z(j) be the third derivative of 0*j + 7/27*j**4 - 106*j**2 + 13/540*j**5 + 40/27*j**3 + 0 + 1/1080*j**6. Find q, given that z(q) = 0.
-5, -4
Let x be (-42)/(-315) + 1194/995. Determine r, given that -4 + 8/3*r**3 + 16/3*r**2 - x*r**4 - 8/3*r = 0.
-1, 1, 3
Let i(y) = y**3 - y + 1. Let p(f) be the first derivative of -5*f**4/4 + f**3/3 + 2*f**2 - 4*f - 65. Let v(s) = -4*i(s) - p(s). Factor v(b).
b**2*(b - 1)
Let k(v) = 139*v + 417. Let f be k(-3). Suppose -5*q + 33 = 23. Factor f + 0*t + 0*t**q + 1/3*t**3 - 1/3*t**4.
-t**3*(t - 1)/3
Determine c so that 17587*c**2 + 35*c**4 - 420*c**3 - 84420*c - 1681*c**2 + 121203 + 31*c**4 - 98*c**4 + 35*c**4 = 0.
3, 67
Let 16/5*i + 7/5*i**5 - 1/5*i**2 - 4/5 + i**4 - 23/5*i**3 = 0. What is i?
-2, -1, 2/7, 1
Let y be -1 - (-1 + -2 + 1 + -1). Suppose -2*x - 19 = -5*u, -1 + 0 = u + y*x. Suppose -g**4 - 15*g + u*g**3 + 6*g**2 - 7*g**2 - 18 + 8*g**2 = 0. What is g?
-2, -1, 3
Let 1/3*b**5 - 260099/3*b - 1021/3*b**4 + 260098/3*b**3 + 262142/3*b**2 - 261121/3 = 0. Calculate b.
-1, 1, 511
Let f(b) = 13955*b + 55823. Let i be f(-4). Suppose h + 4*j = -j + 20, -2*h = j - 4. Find o, given that -6/5*o**i + 3/5*o + 0*o**2 + 3/5*o**5 + h + 0*o**4 = 0.
-1, 0, 1
Factor 0 - 51/7*i**2 + 1044/7*i - 3/7*i**3.
-3*i*(i - 12)*(i + 29)/7
Let c(g) = 5*g**2 - 2001*g - 2020. Let l(t) = -17*t**2 + 6002*t + 6068. Let i(d) = -7*c(d) - 2*l(d). Solve i(h) = 0 for h.
-1, 2004
Let d(z) = 38*z**2 - 395*z - 52. Let s(f) = -18*f**2 + 194*f + 26. Let t(l) = 2*d(l) + 5*s(l). Factor t(m).
-2*(m - 13)*(7*m + 1)
Let d = 3749 + -179951/48. Let s(c) be the third derivative of -d*c**4 + 0*c**3 - 1/240*c**5 + 0*c + 20*c**2 + 0. Find l, given that s(l) = 0.
-2, 0
Let y(k) be the first derivative of 7*k**3 - 753*k**2/2 + 4242*k - 4139. Let y(s) = 0. What is s?
7, 202/7
Suppose 0 = -250*p + 53330 - 53330. Factor 1/3*x**2 + 0*x + 0*x**3 - 1/3*x**4 + p.
-x**2*(x - 1)*(x + 1)/3
Let c(s) be the third derivative of s**7/42 - s**6/12 - 2*s**5 + 20*s**4/3 + 320*s**3/3 + 224*s**2 - 4*s. Suppose c(v) = 0. Calculate v.
-4, -2, 4
Let p(k) = k**3 + 3*k**2 - 2*k - 1. Let j(f) = -3*f**3 - 414*f**2 - 1604*f - 2. Let z(t) = j(t) - 2*p(t). Factor z(g).
-5*g*(g + 4)*(g + 80)
Suppose 2*a - 1 - 11 = 0. Let n be (3 + 27/(-6))*8/(-3). Determine y, given that -3*y**5 - 3*y - 6 - a*y**n + 2*y**2 - 2*y**2 + 6*y**3 + 12*y**2 = 0.
-2, -1, 1
Suppose -3*r - 30 = 3*z, 20 = -3*z + 2*r + 50. Factor -l - 5/2*l**2 + l**4 + z + 1 | {
"pile_set_name": "DM Mathematics"
} |
*d
What is the first derivative of 3 + 4 + 3*o**3 - 14*o**3 wrt o?
-33*o**2
Let b(l) = 31*l + 21. Let z(r) = 30*r + 20. Let k(w) = 3*b(w) - 4*z(w). What is the first derivative of k(f) wrt f?
-27
Let r(v) be the second derivative of v**8/2240 + v**6/144 + v**4/3 + 4*v. Let s(u) be the third derivative of r(u). What is the second derivative of s(i) wrt i?
18*i
Let f(b) be the third derivative of -2*b**2 + 0*b + 0 - 1/70*b**7 - 1/8*b**4 + 0*b**5 + 0*b**6 + 0*b**3. What is the second derivative of f(w) wrt w?
-36*w**2
Let a(x) be the first derivative of 10*x**6/3 - 9*x**3 + 10. Find the third derivative of a(k) wrt k.
1200*k**2
Let o(f) = -15*f**5 + f**4 + f**3 + 23*f**2. Let w(d) = d**4 + d**3 + d**2. Let h(m) = -o(m) + w(m). What is the third derivative of h(t) wrt t?
900*t**2
Let u = 11441/40 - 286. Let m(p) be the third derivative of 2*p**2 + 0*p**5 + 0*p + 0 + 1/6*p**3 - u*p**6 + 0*p**4. Differentiate m(k) wrt k.
-9*k**2
Let n(r) be the first derivative of r**7/210 + r**5/15 + r**2/2 + 5. Let g(h) be the second derivative of n(h). Find the third derivative of g(u) wrt u.
24*u
Let t(k) be the second derivative of -k**8/1680 + k**7/840 + 5*k**4/12 + 7*k. Let h(x) be the third derivative of t(x). Find the third derivative of h(b) wrt b.
-24
Let n = 2 - 0. Find the third derivative of c**4 - 2*c**n + 4*c**4 + 0*c**2 + 0*c**4 wrt c.
120*c
Let a(n) = -n**2 + 3*n - 3. Let g be a(2). Let f be g + -1 + 2*3. What is the first derivative of -3 + 2 - 4*i**4 + 2*i**f wrt i?
-8*i**3
Find the first derivative of -2 + 48*l + 1 - 19 wrt l.
48
Let t(y) = -y**2. Let n(h) = h**2 - 3 + 5 - 1. Let a(f) = 2*n(f) + t(f). Differentiate a(d) with respect to d.
2*d
Suppose -1 + 13 = 4*p. Find the second derivative of 8*t**3 - 5*t - 2*t**3 - 8*t**p wrt t.
-12*t
Find the second derivative of 6*x**4 + 4*x - 5*x - 8*x wrt x.
72*x**2
Let q be 1/(1/(5/1)). What is the third derivative of h**2 - 4*h**2 + h**5 - 5*h**q + h**5 wrt h?
-180*h**2
Let c(l) be the first derivative of -l**6/5 + l**3/6 + 2*l - 2. Let n(w) be the first derivative of c(w). What is the second derivative of n(b) wrt b?
-72*b**2
Let v(f) be the second derivative of -8*f**6/15 + 5*f**3/6 - 27*f. Find the second derivative of v(y) wrt y.
-192*y**2
Let z(t) be the second derivative of -2*t**6/15 + 11*t**3/6 + 6*t. What is the second derivative of z(g) wrt g?
-48*g**2
Let h(d) = -3*d - 3*d + 5*d + 2. Let x(w) = 4*w - 7. Let f(u) = 9*h(u) + 2*x(u). What is the first derivative of f(c) wrt c?
-1
Suppose 4*g - 29 = -3*a, 0 = -3*a + 7*a + 2*g - 22. Differentiate -1 + 2 + 2*l**3 + 1 + l**a wrt l.
9*l**2
Let f(j) be the second derivative of 0*j**3 + 0 + 5/12*j**4 + 3*j**2 - j. What is the derivative of f(m) wrt m?
10*m
Let d(v) be the second derivative of -v**8/28 + 4*v**4/3 + 15*v. Find the third derivative of d(p) wrt p.
-240*p**3
Let x(z) = -4*z**3 - 2*z + 25. Let d(c) = -c + 1. Let n(y) = -2*d(y) + x(y). Differentiate n(g) with respect to g.
-12*g**2
Suppose -4*n + 4 = 8. Let v(q) = 5*q**5 + 3*q**4 + q + 3. Let f(t) = t**4 - t + 1. Let j(w) = n*v(w) + 3*f(w). Find the second derivative of j(m) wrt m.
-100*m**3
Suppose 3*s - 16 = -7. Let k be (-6)/s*1 + 2. Find the third derivative of -q**2 + k*q**3 - q**3 - q**2 wrt q.
-6
Suppose -5*m = -0*m - 10. What is the third derivative of 6*d**m - 8*d**2 + 3*d**4 + d**2 wrt d?
72*d
Let x(a) be the third derivative of 2*a**2 + 0*a**4 + 0 + 0*a + 1/30*a**5 - 2/105*a**7 + 0*a**3 + 0*a**6. What is the third derivative of x(d) wrt d?
-96*d
Let p(h) = 8*h**3 - 4*h**2 - 4*h - 7. Let q(u) = 16*u**3 - 9*u**2 - 9*u - 14. Let s(v) = -9*p(v) + 4*q(v). Differentiate s(r) wrt r.
-24*r**2
Let t(b) = b**2 + 1. Let j(y) = -17*y**2 + 12. Let p(v) = -j(v) - 3*t(v). Find the first derivative of p(h) wrt h.
28*h
Let a(k) = k**2 - 8*k + 4. Let d(f) = -f**3 + 5*f**2 - 3*f + 5. Let i be d(4). Let j be a(i). Find the second derivative of -p + 13 - j - 2*p + 3*p**3 wrt p.
18*p
Let m be ((-6)/(-2))/3*1. Let j be m/(-2) + 52/8. Find the second derivative of 2*p**2 + j*p**2 + 0*p**2 - 4*p**2 + 2*p wrt p.
8
Find the second derivative of 45*l**3 - 45*l**3 - 10*l - 18*l**5 + 2*l wrt l.
-360*l**3
Let c(f) be the second derivative of -43*f**8/56 - f**6/30 - 23*f**4/6 - 23*f. Find the third derivative of c(o) wrt o.
-5160*o**3 - 24*o
Let r(p) be the second derivative of -p**8/168 + 7*p**4/24 - 7*p**2/2 - 6*p. Let v(q) be the first derivative of r(q). Find the second derivative of v(o) wrt o.
-40*o**3
Let i be 9/(-6)*(-40)/15. Let z(p) be the third derivative of 0*p**3 + 0*p + 0 + 1/20*p**5 - 1/8*p**i + p**2. What is the second derivative of z(q) wrt q?
6
Let y(h) = h**2 - 6*h + 3. Let q be y(2). Let f be (4/q)/((-4)/10). Find the first derivative of 3*i**3 + i**3 + f - 4*i**3 - 3*i**4 wrt i.
-12*i**3
Let n(q) be the second derivative of 13*q**4/6 - 11*q**2 - 20*q. What is the first derivative of n(a) wrt a?
52*a
What is the third derivative of h**2 - 11*h**5 + 18*h**5 + 3*h**2 wrt h?
420*h**2
Let f = 4 + -4. Let p = f - -2. Find the third derivative of -2*d**5 + 3*d**5 - 4*d**5 + d**5 + d**p wrt d.
-120*d**2
Let r(i) = i**3 + 7*i**2 + 4*i - 7. Let f be r(-5). What is the third derivative of -3*p**4 + f - 23 + 3*p**2 wrt p?
-72*p
Let t(b) be the second derivative of 17*b**5/20 + 5*b**4/12 - 4*b. What is the third derivative of t(w) wrt w?
102
Let u(q) be the first derivative of 4/7*q**7 + 0*q**6 + 0*q**2 + 0*q - 5 + 0*q**4 + 0*q**5 - q**3. Find the third derivative of u(i) wrt i.
480*i**3
Let z be 4/(-6) + (-28)/(-42). Let c be (1 - 1)/(-3 + 2). What is the first derivative of c*x**4 - x**4 + 5*x**4 + z + 4 wrt x?
16*x**3
Let r(q) = 29*q**2 + 26*q - 5. Let y(u) = -14*u**2 - 13*u + 2. Let k(v) = -2*r(v) - 5*y(v). What is the second derivative of k(l) wrt l?
24
Let h(i) = i**3 - i**2 + 1. Let j(k) = 9*k**4 + 5*k**3 - 15*k**2 + 5. Let q(m) = -5*h(m) + j(m). Find the third derivative of q(a) wrt a.
216*a
Find the second derivative of 3*j + 3*j + j + 9*j**5 + 0*j wrt j.
180*j**3
Let f = 20 - 20. Let d(l) be the third derivative of -l**2 + 0 + f*l + 0*l**4 - 1/30*l**5 + 1/3*l**3. Differentiate d(q) wrt q.
-4*q
Let s(x) be the second derivative of -x**6/30 + x**5/10 + 3*x**4/4 + x**3/2 - x + 4. Find the third derivative of s(k) wrt k.
-24*k + 12
Let m(w) be the second derivative of -w**7/2 + 5*w**3/3 + 13*w. What is the second derivative of m(z) wrt z?
-420*z**3
Let p(w) = 5*w**3 - w**2 - w + 1. Let q(u) = 10*u**3 - u**2 - 2*u + 2. Let k(m) = -7*p(m) + 4*q(m). Find the second derivative of k(z) wrt z.
30*z + 6
Let d(m) be the first derivative of -2/3*m**3 - m**2 + 0*m + 1. What is the second derivative of d(b) wrt b?
-4
Let q(v) be the second derivative of -11*v**7/42 - 3*v**3/2 - 6*v. Find the second derivative of q(y) wrt y.
-220*y**3
Suppose 2*p + 5*y = -0*p - 16, -p + 4*y + 18 = 0. Suppose 5*w - 8 - p = 0. Find the second derivative of -3*z - z**2 - w*z**2 + 7*z wrt z.
-6
Suppose -w + 3 = 1. Suppose w*h - 4*h = 0. Find the second derivative of h*s + s + 2*s**3 - s**3 wrt s.
6*s
Let q(m) be the first derivative of -11*m**3/3 + 7*m**2/2 + 3. Find the second derivative of q(k) wrt k.
-22
Let a(s) be the third derivative of 0*s**5 + 1/210*s**7 + 0*s + 0*s**3 - 1/24*s**4 + 0 + 0*s**6 + 2*s**2. What is the second derivative of a(o) wrt o?
12*o**2
Let j(w) = -3*w**3 - 4*w**2 - 4*w + 1. Suppose -2*o - 3*o = 20. Let b(y) = -y**3 - y**2 - y + 1. Let a(r) = o*b(r) + j(r). What is the derivative of a(z) wrt z?
3*z**2
Find the third derivative of -75*o**2 - 51*o**2 + 89*o**2 - 8*o**5 wrt o.
-480*o**2
Let y(r) = -16*r**2 + 19*r + 5. Let g(j) = -16*j**2 + 19*j + 4. Let k(c) = -5*g(c) + 4*y(c). What is the second derivative of k(d) wrt d?
32
Suppose 0*r = -r. Let w(x) be the second derivative of 0*x**2 + 0 - 1/20*x**5 + 1/6*x**3 - x + r*x**4. Find the second derivative of w(o) wrt o.
-6*o
Let a(o) be the first derivative of 0*o - 4/3*o**3 - 2*o**2 + 8. What is the second derivative of a(m) wrt m?
-8
Suppose -3*h = -5*t + 12, -6*h + h + 2 = -t. What is the second derivative of 2*g - g + 7*g**3 - t*g**3 + 0*g**3 wrt g?
24*g
Let h(m) = 12*m**3 + 6*m**2 - 6*m - 8. Let w(i) = -12*i**3 - 5*i**2 + 5*i + 7. Let s(u) = -5*h(u) - 6*w(u). What is the first derivative of s(b) wrt b?
36*b**2
What is the derivative of 1 - 6 + 0 + 2*j | {
"pile_set_name": "DM Mathematics"
} |
*3 + h**2 + h + 4054
What is the t'th term of -55, 220, 725, 1460?
115*t**2 - 70*t - 100
What is the b'th term of -9741, -9849, -9957, -10065, -10173?
-108*b - 9633
What is the c'th term of -3758, -15030, -33818, -60122, -93942, -135278, -184130?
-3758*c**2 + 2*c - 2
What is the m'th term of -4362, -17191, -38572, -68505, -106990, -154027?
-4276*m**2 - m - 85
What is the x'th term of -2463, -2241, -2019?
222*x - 2685
What is the q'th term of -9, -280, -721, -1326, -2089, -3004, -4065, -5266?
q**3 - 91*q**2 - 5*q + 86
What is the s'th term of 1374, 1541, 1716, 1899?
4*s**2 + 155*s + 1215
What is the l'th term of 1880, 7458, 16754, 29768, 46500?
1859*l**2 + l + 20
What is the x'th term of -281057, -281058, -281059, -281060?
-x - 281056
What is the q'th term of 12963, 12920, 12875, 12828, 12779?
-q**2 - 40*q + 13004
What is the o'th term of -277, -551, -815, -1063, -1289?
o**3 - o**2 - 278*o + 1
What is the y'th term of 10367, 20737, 31107, 41477, 51847?
10370*y - 3
What is the g'th term of -822, -697, -572, -447, -322, -197?
125*g - 947
What is the y'th term of 52824, 105646, 158468?
52822*y + 2
What is the j'th term of -145, -508, -1127, -2002, -3133, -4520, -6163?
-128*j**2 + 21*j - 38
What is the j'th term of 300, 530, 772, 1032, 1316?
j**3 + 223*j + 76
What is the u'th term of -237, -843, -1759, -2919, -4257?
11*u**3 - 221*u**2 - 20*u - 7
What is the a'th term of 308498, 616996, 925494, 1233992?
308498*a
What is the g'th term of 2712, 2741, 2772, 2805?
g**2 + 26*g + 2685
What is the b'th term of -125, -76, -7, 76, 167, 260, 349, 428?
-b**3 + 16*b**2 + 8*b - 148
What is the f'th term of -150, -243, -380, -549, -738, -935, -1128?
2*f**3 - 34*f**2 - 5*f - 113
What is the l'th term of 159, 352, 649, 1056, 1579, 2224?
l**3 + 46*l**2 + 48*l + 64
What is the g'th term of 61, -3133, -8457, -15911?
-1065*g**2 + g + 1125
What is the f'th term of -3929, -3348, -1769, 1306, 6375?
83*f**3 + f**2 - 3*f - 4010
What is the u'th term of 472, 3719, 12526, 29671, 57932?
463*u**3 + 2*u**2 + 7
What is the t'th term of 703, 755, 829, 925, 1043, 1183?
11*t**2 + 19*t + 673
What is the c'th term of 3345, 3371, 3417, 3489, 3593, 3735, 3921?
c**3 + 4*c**2 + 7*c + 3333
What is the n'th term of -526151, -1052303, -1578455, -2104607, -2630759, -3156911?
-526152*n + 1
What is the p'th term of 3220, 3213, 3206?
-7*p + 3227
What is the j'th term of 1315, 1327, 1347, 1375, 1411?
4*j**2 + 1311
What is the k'th term of -431, -629, -813, -977, -1115, -1221, -1289, -1313?
k**3 + k**2 - 208*k - 225
What is the j'th term of -2424752, -4849502, -7274252, -9699002, -12123752, -14548502?
-2424750*j - 2
What is the i'th term of 5140688, 5140689, 5140690, 5140691, 5140692?
i + 5140687
What is the n'th term of -78, -190, -464, -972, -1786?
-12*n**3 - 9*n**2 - n - 56
What is the x'th term of -14203, -28381, -42509, -56563, -70519, -84353?
4*x**3 + x**2 - 14209*x + 1
What is the m'th term of -612, -1223, -1834, -2445, -3056?
-611*m - 1
What is the b'th term of 783, 1672, 2577, 3498, 4435, 5388, 6357?
8*b**2 + 865*b - 90
What is the h'th term of -62, -55, 22, 169, 386?
35*h**2 - 98*h + 1
What is the u'th term of -164, -251, -348, -461, -596, -759, -956?
-u**3 + u**2 - 83*u - 81
What is the l'th term of 947, 7583, 25585, 60635, 118415?
947*l**3 + l**2 + 4*l - 5
What is the t'th term of 10579, 42312, 95201, 169246?
10578*t**2 - t + 2
What is the l'th term of 5519, 22082, 49687, 88334?
5521*l**2 - 2
What is the d'th term of 55, 800, 2025, 3718, 5867, 8460, 11485?
-2*d**3 + 252*d**2 + 3*d - 198
What is the x'th term of 320688, 320689, 320690?
x + 320687
What is the z'th term of 392, 478, 620, 818?
28*z**2 + 2*z + 362
What is the g'th term of 111, 118, 115, 90, 31, -74, -237?
-2*g**3 + 7*g**2 + 106
What is the j'th term of -1230, -2171, -3104, -4023, -4922, -5795, -6636?
j**3 - 2*j**2 - 942*j - 287
What is the s'th term of -10334, -41199, -92640, -164657, -257250, -370419?
-10288*s**2 - s - 45
What is the t'th term of 3438, 4164, 4888, 5610?
-t**2 + 729*t + 2710
What is the z'th term of 841, 534, 229, -74?
z**2 - 310*z + 1150
What is the c'th term of 208, 512, 816, 1120, 1424, 1728?
304*c - 96
What is the u'th term of -2881, -5689, -8499, -11311, -14125?
-u**2 - 2805*u - 75
What is the s'th term of -3994, -7963, -11920, -15859, -19774, -23659?
s**3 - 3976*s - 19
What is the k'th term of 334, 2220, 7188, 16780, 32538, 56004, 88720?
257*k**3 - k**2 + 90*k - 12
What is the m'th term of -60, 191, 608, 1191, 1940, 2855?
83*m**2 + 2*m - 145
What is the f'th term of -2653, -5319, -8001, -10699?
-8*f**2 - 2642*f - 3
What is the a'th term of 91, 183, 299, 439, 603?
12*a**2 + 56*a + 23
What is the t'th term of -119, -563, -1303, -2339, -3671, -5299?
-148*t**2 + 29
What is the t'th term of -2395, -9293, -20693, -36595, -56999, -81905, -111313?
-2251*t**2 - 145*t + 1
What is the i'th term of 90, 713, 2412, 5727, 11198, 19365?
90*i**3 - 2*i**2 - i + 3
What is the h'th term of 220, 1062, 2466, 4432, 6960, 10050, 13702?
281*h**2 - h - 60
What is the r'th term of -18545, -37090, -55635, -74180, -92725, -111270?
-18545*r
What is the r'th term of -6577, -5840, -5105, -4372?
-r**2 + 740*r - 7316
What is the j'th term of 6224, 6205, 6150, 6041, 5860, 5589, 5210, 4705?
-3*j**3 + 2*j + 6225
What is the n'th term of -60, -138, -254, -426, -672, -1010, -1458?
-3*n**3 - n**2 - 54*n - 2
What is the f'th term of -374, -130, 114, 358, 602, 846?
244*f - 618
What is the w'th term of 3139, 3116, 3087, 3052, 3011, 2964?
-3*w**2 - 14*w + 3156
What is the q'th term of 280, 540, 794, 1042, 1284, 1520, 1750?
-3*q**2 + 269*q + 14
What is the o'th term of -136075, -136076, -136077, -136078, -136079?
-o - 136074
What is the o'th term of 14338, 28688, 43048, 57418, 71798, 86188?
5*o**2 + 14335*o - 2
What is the l'th term of -10, -34, -38, 2, 110, 310?
4*l**3 - 14*l**2 - 10*l + 10
What is the y'th term of 836760, 1673518, 2510276, 3347034, 4183792, 5020550?
836758*y + 2
What is the w'th term of -18586, -18599, -18644, -18739, -18902, -19151, -19504?
-3*w**3 + 2*w**2 + 2*w - 18587
What is the q'th term of 297, 1120, 2465, 4332?
261*q**2 + 40*q - 4
What is the m'th term of -68, -162, -280, -422, -588, -778?
-12*m**2 - 58*m + 2
What is the o'th term of 4445, 35795, 120883, 286577, 559745?
4478*o**3 + o**2 + o - 35
What is the o'th term of -4382, -8775, -13168, -17561, -21954, -26347?
-4393*o + 11
What is the m'th term of 3476, 6940, 10392, 13832, 17260?
-6*m**2 + 3482*m
What is the w'th term of -124, -76, -8, 80, 188, 316, 464?
10*w**2 + 18*w - 152
What is the t'th term of -2881, -11563, -26041, -46315, -72385, -104251, -141913?
-2898*t**2 + 12*t + 5
What is the o'th term of 615, 639, 699, 813, 999, 1275, 1659, 2169?
3*o**3 + 3*o + 609
What is the w'th term of -753652, -753654, -753656?
-2*w - 753650
What is the o'th term of 276, 277, 276, 273, 268?
-o**2 + 4*o + 273
What is the m'th term of 427586, 855179, 1282786, 1710413, 2138066, 2565751?
m**3 + m**2 + 427583*m + 1
What is the b'th term of -992, -919, -812, -683, -544?
-2*b**3 + 29*b**2 - 1019
What is the m'th term of 14247, 28482, 42717, 56952?
14235*m + 12
What is the i'th term of 6286, 10896, 15504, 20110, 24714, 29316?
-i**2 + 4613*i + 1674
What is the n'th term of -39, -104, -225, -402, -635, -924, -1269?
-28*n**2 + 19*n - 30
What is the z'th term of -27183, -54353, -81523, -108693, -135863?
-27170*z - 13
What is the t'th term of 5316, 10490, 15664, 20838, 26012?
5174*t + 142
What is the u'th term of 627, 704, 781, 858?
77*u + 550
What is the f'th term of 1998, 3995, 5992, 7989?
1997*f + 1
What is the h'th term of 190, 714, 1566, 2728, 4182, 5910?
-3*h**3 + 182*h**2 - h + 12
What is the m'th term of -39571, -39572, -39571, -39568, -39563, -39556?
m**2 - 4*m - 39568
What is the l'th term of 68864, 137727, 206590, 275453, 344316, 413179?
68863*l + 1
What is the r'th term of -4011, -8025, -12039, -16053, -20067, -24081?
-4014*r + 3
What is the j'th term of -1680, -2978, -4276, -5574?
-1298*j - 382
What is the h'th term of 1433, 5833, 13205, 23555, 36889, 53213?
h**3 + 1480*h**2 - 47*h - 1
What is the s'th term of 256266, 256267, 256268, 256269, 256270, 256271?
s + 256265
What is the j'th term of -431008, -862014, -1293020?
-431006*j - 2
What is the b'th term of 20, -53, -336, | {
"pile_set_name": "DM Mathematics"
} |
3*t + 43 = 5*d, -t + 4 = 3*t - 4*d. What is the lowest common multiple of j and ((-2)/t)/(2/(-36))?
6
Calculate the lowest common multiple of 5 and (-102)/(-14) - (-36)/(-126).
35
Let f = -423757/924 + 167/462. Let t = 2322/5 + f. What is the common denominator of 35/8 and t?
40
Find the common denominator of (-34)/6*(-15)/(-10) and 15/14.
14
Calculate the least common multiple of 56 and 3/3 + ((-17)/(-1) - 0).
504
Let u = 12 - 6. What is the lowest common multiple of u and 6?
6
Let v = -17 + 10. Let r = v - -12. What is the least common multiple of r and (-2)/(-6) + 17/3?
30
What is the least common multiple of 9 and 1/(((-36)/8)/(-9))?
18
Let g = -51777/10 - -5185. What is the common denominator of g and -87/10?
10
Let u(o) = -2*o**3 + 2*o**2 + 4*o + 4. Let w be u(-2). Find the common denominator of 0 + 1/(-10)*-23 and (42/w)/(60/(-25)).
40
Let m(n) = n**2 + 1. Let c be m(-2). Suppose 0 = c*u + 12 - 47. Suppose -2*h - 3*s - 39 = -5*h, 3*h = -5*s + u. Calculate the least common multiple of 2 and h.
18
Suppose -5*g + 10 = 4*y - 43, 4*y + 37 = 5*g. Suppose -12 = f - 3*o + 1, -5*f = -o + g. What is the lowest common multiple of 10 and f*(2 - (1 + 2))?
10
Let n = 4/995 - -9548/995. What is the common denominator of -59/6 and n?
30
Let o = 21 - 15. Suppose 0*i = i - o. What is the least common multiple of 7 and i?
42
Calculate the common denominator of -103/10 and (-36)/(-60) - 238/30.
30
Calculate the common denominator of -53/8 and (3*29/6)/(2/6).
8
Suppose 4*x + 0 - 12 = 0. Suppose x*f = 68 - 2. Let l(d) = 2*d**2 + 2*d - 10. What is the lowest common multiple of l(2) and f?
22
Calculate the common denominator of ((-4)/(-40))/(2/455) and -5/6.
12
Suppose 4*k - 35 = 5. Let r(g) = -2*g. Let w be r(-8). Suppose -6*t + 16 = -k*t, 4*l + 2*t - w = 0. Calculate the lowest common multiple of 1 and l.
6
Let m be 2 - (1 + (-54130)/(-1164)). Let n = -1/291 - m. Find the common denominator of 75/4 and n.
4
Suppose 5*l - 249 - 1176 = 0. What is the smallest common multiple of 2/(-11) - l/(-55) and 6?
30
Suppose -r - 28 + 29 = 0. What is the least common multiple of 9 and r?
9
Let y = 240788/21 - 11469. Calculate the common denominator of y and -26/9.
63
Let n be (5/15)/((-1)/(-12)). Suppose 5*g - 175 = -w - n*w, 4*g = 4*w + 148. What is the common denominator of -63/8 and (-290)/36 + 8/g?
24
Let d(v) = -7*v + 3. Calculate the smallest common multiple of 28 and d(-1).
140
Let n = 352 + -5619/16. What is the common denominator of 17/20 and n?
80
Let j = 533/232 - -285/29. Calculate the common denominator of -71/42 and j.
168
Let n = -10 + 20. Suppose 8 = u - 0. Let j = n - u. Calculate the least common multiple of j and 11.
22
Let f(b) = -b**3 - 12*b**2 + b - 8. What is the common denominator of -50/33 and f(-12)?
33
Let w = -9316 + 167749/18. Find the common denominator of w and -75/8.
72
Suppose 3*p = -p - 24. Suppose -5*m + 29 + 21 = 0. What is the least common multiple of m and (p/(-10))/(6/60)?
30
Let j = -6 + 2. Calculate the lowest common multiple of 3 and 1/(-4) - 41/j.
30
Let x = 5056/5 + -70289/70. What is the common denominator of -51/5 and x?
70
Calculate the least common multiple of ((-25)/(-15))/((-5)/(-6)) and 23.
46
Let h(n) = -7*n - 22. What is the smallest common multiple of h(-6) and 36/10 + 2/5?
20
Suppose -2*u + 3*u + 2840 = -4*t, -5*u = -t - 710. Let n = 5134 - 82239/16. What is the common denominator of n and t/16*(-4)/(-30)?
48
Suppose -u + 1 = -0*u. Let t be -39*(0 - -2*u). Find the common denominator of -49/20 and ((-14)/(-60))/(4/t).
20
Let r = 10757/8 + -1343. Suppose -4*h = 3*i - 28, -10 = 4*h + i - 30. What is the common denominator of r and (-12)/(-32)*h/18?
24
Suppose -3*d - 30 = -8*d. Suppose -9 = -f - 2*f. What is the smallest common multiple of d and f?
6
Suppose -2*f + 0*o - 5*o = -93, 0 = -3*o - 9. What is the common denominator of f/4*(-10)/6 and 2 + 2 + (-1)/(24/460)?
6
Let f(w) = -10*w**2 + 3*w + 4. Let q be f(-2). Calculate the lowest common multiple of 6 and (-306)/q - 4/14.
42
Calculate the common denominator of 2/(-4) + 92/(-14) and 742/(-24)*(-6)/(-63).
126
Let b(o) = -o**3 - 7*o**2 + o - 1. Let y be b(-7). What is the smallest common multiple of (y/6)/((-6)/27) and 10?
30
Let c(i) = -i**3 + 5*i**2 + 2. Let j be c(6). Let d = -774 - -788. What is the lowest common multiple of 2/(-4) - j/4 and d?
56
Let h be 2/12 - (-950)/60. Let k = -7 + h. What is the lowest common multiple of 8 and k?
72
Let l = -42905/14 - -3066. Calculate the common denominator of -57/4 and l.
28
Suppose -32 = -5*j + 3*j. Let l = 48 + -26. What is the smallest common multiple of l and j?
176
Calculate the least common multiple of 14/35*5*2 and 14.
28
Let k(w) be the second derivative of w**3/3 + w**2/2 + 3*w. Let b be k(-2). Let d = -1 - b. What is the smallest common multiple of d and 16?
16
Let v be (-2 - -5)*(-2 - -1). What is the lowest common multiple of (-22)/(2*(v + 2)) and 8?
88
What is the common denominator of (-46)/24*(-16)/(-8) and 47/11?
66
Let q = -213 + 455. Calculate the common denominator of (-218)/(-4)*(-2)/6 and (q/6)/((-40)/(-12)).
30
Suppose 5*p - 9*p = -28. Calculate the smallest common multiple of p and 10.
70
Let v = 5 - -7. Suppose -g - 4*h + h = v, 2*h = -3*g - 1. Calculate the lowest common multiple of 10 and g.
30
Let z be -2 - (-1 + -569)/3. Suppose z = -4*t + 36. What is the common denominator of 53/4 and t?
4
Let o(h) = -6*h + 32. Calculate the lowest common multiple of o(4) and 22.
88
Let i = -1360789654726793/99682 + 13651307704. Let x = i - 2/4531. Calculate the common denominator of x and 95/12.
132
Let q be (17/3)/(1/3). Let s = -6 + q. Suppose 3*u = -2*j + s, -4*j + 7 + 3 = 2*u. Calculate the smallest common multiple of u and 9.
9
Let w be ((-2)/4)/((-2)/8). Suppose 2*p = -2*t - 0*t - 14, -t + 5*p = 37. Let v = w - t. What is the least common multiple of v and 8?
56
Let w = 19 + -7. What is the smallest common multiple of w and 4?
12
Let g be 244/(-6) + (-2)/(-3). What is the common denominator of 105/22 and ((-12)/g)/((-3)/(-109))?
110
Let h = 5 - 3. What is the smallest common multiple of (12/(-30))/(1/(-25)) and -9*h/(-6)*1?
30
Let n be 2/(-1) + 19575/8. Let f = 2453 - n. Let a = -1/167 + -4168/1169. Find the common denominator of f and a.
56
Suppose -4*u = -u - 3. What is the smallest common multiple of 9 and u?
9
Let d(a) = a**3 - 11*a**2 - 11*a + 10. What is the least common multiple of d(12) and 6?
66
Let w(m) = -2*m - 1. Let p be w(-3). Suppose 0 = 2*n - p + 1. What is the smallest common multiple of n and (-3 - (-2 - -43))/(-2)?
22
Suppose 2*k + 5 = 1. Let n = 7730 + -108323/14. Find the common denominator of n and k/(60/249) + -1.
70
Let o = -139 - -272. Suppose -3*v - 2*p + o = 0, 185 = 5*v - 0*v - 4*p. Let m = 79/2 - v. Calculate the common denominator of m and -89/4.
4
Let d(m) = -13*m**3 - 3*m**2 + 2*m + 2. Let z be d(-3). Calculate the common denominator of 1468/z - (-4)/(-10) and 29/2.
16
Let l(x) = 2*x**3 + 5*x**2 + 2*x + 3. Let t be l(-5). Let i be t/18 + (-1)/(-3). Let v = i + 15. Calculate the least common multiple of v and 6.
24
Let k(d) be the third derivative of d**5/30 - d**4/6 + 2*d**3/3 + d**2. Let x(p) = -2*p + 9. What is the least common multiple of x(2) and k(3)?
10
Let o = -2426/5 + 16118/35. Let a be (-6)/4*62/(-7). Let c = o + a. Find the common denominator of c and -65/3.
15
Let k(q) = q**3 - 5*q**2 + 3*q. Let j be k(4). What is the common denominator of (425/j)/5 + 3 and -55/12?
12
Let j = -3721966659319/4616 - -806318610. Let k = -3/1154 + j. Calculate the common denominator of k and 41/4.
8
Let m be (-15)/(-2)*(-12)/195. Let g = -1433/78 + m. Let z = -8839 - -176847/20. What is the common denominator of z and g?
60
Suppose -5*x - 30 = l, 2*x = l + 3*x + 18. Let p = -5 - l. Let m = -2 - -8. What is the lowest common multiple of m and p?
30
Suppose -11 = -3*a - 2*k, 0 = -3*k - 0*k + 12. Let h = 11 - 4. What is the smallest common multiple of h and a?
7
Let i = -16 + 28. Let u be 18/i*2/(-3). What is the least common multiple of u/(20/(-6) + 3) and 4?
12
Calculate the common denominator of (-36)/256*(1 - 23) and -48.
32
Suppose 4*q - 2*x = 57 - 227, -3*q + x - 129 = 0. What is the common denominator of 133/q*36/42 and 89/8?
88
Let o = -129 + 31. Let l = o - -158. Calculat | {
"pile_set_name": "DM Mathematics"
} |
)*(-504)/77.
480
Suppose v - 20 = -2*v - 5*j, 6 = 2*v - 4*j. Let u = 3 + v. What is the common denominator of -23/6 and 4/(((-140)/u)/(-5))?
42
Let m(i) = i**3 - 9*i**2 + 5*i + 19. Let l be m(8). Calculate the smallest common multiple of 87 and (3 - 111/12)/(l/8).
870
Let c = -3199/2 + 1560. Let b(l) = l**3 - 6*l**2 + 7*l - 7. Let h be b(5). What is the common denominator of h*-1 + 35/(-16) and c?
16
Let t(n) = 2*n**3 + 3*n**2 + 5*n - 16. Calculate the least common multiple of t(4) and 189.
3780
Let r = -1/2922 + -69397/1461. Let s = -48 + 82. Calculate the common denominator of r and s/(-4)*3*(-1)/(-36).
24
Calculate the common denominator of 125/54 and 285/(-228)*(8108/(-7380) + 1).
2214
Let i = 49856 - 32441. Let z = -383051/22 + i. Find the common denominator of z and -43/108.
1188
Let w = 112511812 - 181144042747/1610. Let r = -357/23 - w. Calculate the common denominator of r and -9/16.
560
Let r(u) = -20*u - 102. What is the smallest common multiple of 104 and r(-9)?
312
Suppose 2*i - 3*i = 0. Suppose 5*y + i*k - 2*k = -34, k = 4*y + 26. Find the common denominator of (2*(-226)/4)/(60/y) and -32/35.
70
Let l(o) = -2*o**2 - 19*o - 42. Let x(g) = -g**3 + 10*g**2 + 13*g + 27. What is the least common multiple of l(-4) and x(11)?
98
Let b(y) = 2*y**3 - 2*y**2 + 3*y + 1. Let w = -75 - -77. What is the least common multiple of b(w) and 9?
45
Suppose 5*l + 453 = -5*b + 4*l, 0 = 2*b - 4*l + 168. Let s = 95 + b. What is the least common multiple of 141 and s?
705
Suppose -9*j = -84 - 24. Let p be -1 + (0 - -2 - -4). Calculate the smallest common multiple of -7 - -14 - p - 4/(-2) and j.
12
Let q = 90177 - 280089731/3106. Find the common denominator of q and -37/3.
9318
Find the common denominator of (-10)/(-720)*-79 + 1 and -107/90.
360
Calculate the smallest common multiple of ((-18)/(-12))/(28/(-16)*8/(-28)) and 16.
48
Let u be (-7)/180180*-453819 + (2 - -4). Let x = -931/39 + u. Calculate the common denominator of -103/20 and x.
220
Let i = -151461659/1555 + 97403. Calculate the common denominator of -42/11 and i.
17105
Find the common denominator of 115/1602 and (-696)/9504 - 6/(-24).
17622
Suppose 9*y + 5 = 32. Suppose -6*o + 4*o - 5*a = -40, 3*o - y*a - 18 = 0. Suppose 2*j - 4*j = -22. What is the lowest common multiple of j and o?
110
Suppose i + 8*g = 514, i - 25*g + 30*g = 496. What is the least common multiple of 233 and i?
466
Let s = -501 + 506. Let q(m) = m**3 - 14*m + 71. Calculate the smallest common multiple of q(s) and 14.
126
Let x be 11 + 3/(-1)*1. Suppose 3*i - 46 = 248. Calculate the common denominator of (x/(-32))/(4/i) and 97/22.
88
Let d = 277084/33 + -8395. Calculate the common denominator of d and 23/180.
1980
Let t = -789 - -791. Suppose 499 = j - 2*d, -t*d - 484 = -j + 3*d. Calculate the lowest common multiple of j and 1.
509
Suppose 1317*l - 207 = 1294*l. Let d = 763 - 519. Calculate the lowest common multiple of l and d.
2196
Suppose s + 7*m = 10*m + 9, -s - 3*m = 9. Suppose s = -6*a + 300 + 96. Calculate the least common multiple of 156 and a.
1716
Suppose -25*m = -21*m - 16. Suppose -3*c - 15 = 0, -4*n + 0*c + 276 = -m*c. Suppose -10*v = -2*v - n. What is the lowest common multiple of v and 2?
8
Let d = 9 - -7. Suppose -43 = -7*l - 8. Suppose -2*z + 40 = -l*p, -4*z + 5*p = 2*p - 52. What is the lowest common multiple of d and z?
80
Let f = 493662653/4064740 - -1/203237. Let t be (-2)/5 + (-1932)/(-20). Let a = f - t. What is the common denominator of a and -37/12?
12
Suppose 4*y - 3*k - 11 = 5*y, 5*y + 31 = -3*k. What is the least common multiple of 12 and (2/3)/(((-15)/144)/y)?
96
What is the common denominator of 32/(-14) + 12/48 and 9/24*534/(-99)?
308
Let p = 6124 - 538873/88. Calculate the common denominator of 53/1364 and p.
2728
Let x = 21219/7 + -3027. What is the common denominator of x and 61/24?
168
Let h be (-23)/2*(5 + -7). Suppose -z = 4*t - h, -4*z + 2*t + 10 + 10 = 0. Let g = 251/36 - z. What is the common denominator of 123/10 and g?
180
Suppose 0 = q + 5*u + 2 - 28, -3*q - 12 = -3*u. Let r = 120 + -21. Let g = r - 96. Calculate the least common multiple of q and g.
3
What is the common denominator of 12 + (0 - (-418946)/(-34760)) and -133/1422?
14220
What is the common denominator of 35/(-42)*(22/66 + (-1389)/2700) and -12/55?
11880
Suppose 0 = 3*q - 5*j + 5828, 4*q + 3*j = 8*q + 7756. Let m = q - -3767. Let b = 5444/3 - m. Calculate the common denominator of -6/11 and b.
33
Suppose 2039 = 14*l - 1433. Calculate the smallest common multiple of l and 26.
3224
Let k = -19943 + 20883. Calculate the lowest common multiple of k and 220.
10340
Find the common denominator of 73/70 and (28/(-4) - -4) + (-5592)/(-1488).
2170
Suppose 0 = -3*g + 6*g - 42936. Let w = g + -1230857/86. What is the common denominator of -8 + 1072/(-96) - -17 and w?
258
Let t(j) = 2*j**2 - 2*j + 1. Let i be t(2). Suppose -20 = -i*y + 70. Let x(s) = s**2 - 27*s - 214. What is the smallest common multiple of x(-7) and y?
72
Let s(l) = -4*l + 1. Let h(a) = -a**2 + 4. Let x be h(-3). Suppose -12 = -f + 4*p - 1, -3*f = 2*p - 47. Calculate the lowest common multiple of f and s(x).
105
Let v = -46850107/148590 + -32/14859. Let i(p) = 310*p**2. Let q be i(-1). Let x = q + v. Calculate the common denominator of x and 79/8.
40
Suppose 5*o + 6*u = 8*u - 37, o + 2 = -5*u. Find the common denominator of o/35 + 1*(-939)/(-120) and -113/10.
40
Let o = -102 + 310/3. Find the common denominator of o and (2 - (-331)/(-33)) + (2 - -8).
33
Let t(r) = -r**3 - 17*r**2 + 3*r - 8. Let o(g) = -g**2 - g - 1. Let d(i) = -6*o(i) - 2*t(i). Calculate the lowest common multiple of d(-20) and 8.
88
Let q = 15920/3 - 1671569/315. Calculate the common denominator of q and 47/3255.
9765
Let l be (-3124)/(-198) - 6/(-27). Let y(q) = q**2 - 15*q + 24. Calculate the lowest common multiple of 25 and y(l).
200
Let h = 5620 + -5615. What is the lowest common multiple of h and 22?
110
Let q be (-40)/(-220) - (-1637)/11. Let u = q + -148. What is the least common multiple of u and 11?
11
Let b = -4223 - -5213. Calculate the smallest common multiple of 21 and b.
6930
Let z = -4025 + 4099. Let o = -3 + 7. Calculate the least common multiple of z and o.
148
Suppose -94*q - 61*q + 560 = -15*q. Let j = 547 + -382. Calculate the least common multiple of j and q.
660
Suppose 2*j = 6, 4*w - 14 = -4*j + 2*j. Suppose 0 = -w*v - 2*o + 36, -o - 90 = -13*v + 8*v. What is the least common multiple of v and 27?
54
Suppose b - 6*b + 260 = 0. Suppose 2*r - 51 = 17*w - 22*w, 3*w = -3. Calculate the smallest common multiple of r and b.
364
Let p = 618499/46 + -13445. Calculate the common denominator of 86/(-12)*(-7 - (9150/(-1260) - 3/18)) and p.
322
Let s(p) = p**2 + 15*p + 1. Let b be s(-7). Let u be (b/160*-197)/(86/4). Let j = u - 15/172. Calculate the common denominator of j and -75/34.
272
Let u = 16/551337 - 103322575465/3308022. Let o = u - -31242. Calculate the common denominator of o and (-15 - -9) + (-190)/(-36) - 4.
18
Let b be 19559/84 - (-10)/15. Let k = b - 1697/7. Find the common denominator of k and -7 + -1*(-294)/48.
24
Let u(m) = -31*m - 4. Let p be u(8). Find the common denominator of -4 - 2*141/p and 38/7.
42
Let o(v) = -2*v - 80. Let r be o(-18). Calculate the least common multiple of 66 and (1/(-2))/((14/r)/7).
66
Let t = -666/137 + 114548/22605. What is the common denominator of -43/418 and t?
6270
Suppose y - 4*o - 23 = 0, -4*o = -2*y - 3*y + 35. Let b be ((-8)/5)/(y*(-10)/(-525)). What is the common denominator of b/49 - (-1462)/280 and -61/32?
160
Let o = 87 + -69. Let h = -3 - -8. Suppose 3*n - 43 = c, -h*c + 18 = 2*n - 39. What is the lowest common multiple of o and n?
144
Calculate the least common multiple of 57/3 - -5*(-12)/20 and 16352.
16352
Let p(u) = 40*u**2 - 16*u + 10. What is the lowest common multiple of p(1) and 86?
1462
What is the lowest common multiple of 26 and 22/33*702/(-8)*(-39 + -1)?
2340
Suppose -84 = 29*q - 27*q. Calculate the common denominator of (-58)/(-116) - (-73)/q and (-3)/9 + 18/(-20).
210
Let p = 82725907010 - 48149392553. Let h = p + -1808005941040811/52290. Let n = h - -2/2905. Calculate the common denominator of n and -73/12.
36
Let s = -1/33055 - 3074081/1123870. Calculate the common denominator of s and -121/138.
2346
Let | {
"pile_set_name": "DM Mathematics"
} |
ms in -184390*b**2 - 184381*b**2 - 184390*b**2 - 502*b**3 + 553161*b**2.
-502*b**3
Collect the terms in -s**3 - 2076727931811000*s + 2076727931811000*s + 0*s**3.
-s**3
Collect the terms in 213322*s - 426770*s + 213697*s.
249*s
Collect the terms in -8*z - 3606*z**3 + 1925*z**3 + 1799*z**3 + z + z.
118*z**3 - 6*z
Collect the terms in -550 - 473 - 29*n**2 + 1023 + 498*n**2 - 4*n.
469*n**2 - 4*n
Collect the terms in 641*o**3 + 634*o**3 - 1891*o**3 + 618*o**3 - 2.
2*o**3 - 2
Collect the terms in -158 - r**2 + 99 + 0*r**2 - 109*r + 57 - 45*r.
-r**2 - 154*r - 2
Collect the terms in -46 - 47 + 16*q**3 - 72 + 213 - 9*q**3 - 48.
7*q**3
Collect the terms in 333 - 5*j + 253 + 247 + 243 - 1076.
-5*j
Collect the terms in 362*y**2 + y**3 - 329*y**2 - 117*y - 5*y**3.
-4*y**3 + 33*y**2 - 117*y
Collect the terms in 3 - 2 + 2295*i + 1975*i + 4854*i.
9124*i + 1
Collect the terms in -1395*c**3 - 29*c**2 - 357*c**3 + 2120*c**3 - 365*c**3 - 14*c**2.
3*c**3 - 43*c**2
Collect the terms in -10*j + 33*j**3 - 2*j**3 - 97*j**3 + 34*j**3 + 10*j.
-32*j**3
Collect the terms in -43181*h**3 - 110*h**2 - 24076*h**3 + 110*h**2.
-67257*h**3
Collect the terms in -29444*z**3 + 29463*z**3 - 18 - 7 + 25.
19*z**3
Collect the terms in -87 - 85 - 13*a - 157 + 422 - 93 + 2*a.
-11*a
Collect the terms in 478611*i**2 - 471127*i**2 - 923433*i**2 - 553636*i**2.
-1469585*i**2
Collect the terms in -652 + 70*u - 74*u - 2673.
-4*u - 3325
Collect the terms in 0*p**3 + 10*p**3 - 72*p**3 + 30*p**3 + 3*p**3.
-29*p**3
Collect the terms in 8427755*v - 110*v**3 - 8427755*v + 72*v**3.
-38*v**3
Collect the terms in -37 - h**2 - 16*h + 37 + 62817*h**3 - 6*h.
62817*h**3 - h**2 - 22*h
Collect the terms in -2092*o + 268*o**2 - 2217*o + 4309*o.
268*o**2
Collect the terms in 3 + 90700*h**3 - 105052*h**3 - 2*h - 255375*h**3 + h**2.
-269727*h**3 + h**2 - 2*h + 3
Collect the terms in 12*y**3 + 3*y**3 + 5063 - 88*y**3 - 17*y**3.
-90*y**3 + 5063
Collect the terms in 802*g**2 + 581*g**2 + 2028*g**2 + 2803*g**2.
6214*g**2
Collect the terms in -284*u**3 - 289*u**3 - 283*u**3 - 287*u**3 - 280*u**3 - 286*u**3 + 2526*u**3 - 818*u**3.
-u**3
Collect the terms in 362*x + 17 + 450*x**3 + 441*x**3 - 17 - 890*x**3.
x**3 + 362*x
Collect the terms in 321714*c + 3 - 3 + 789715*c.
1111429*c
Collect the terms in -27*a + 358 - 736 + 377 - 276*a.
-303*a - 1
Collect the terms in -2180268*u**2 + 1091665*u**2 + 1088602*u**2.
-u**2
Collect the terms in 77332361*b**2 - 154663407*b**2 + 77331046*b**2 + b**3.
b**3
Collect the terms in 568030*y - 568030*y + 1246*y**2.
1246*y**2
Collect the terms in 11*h**2 - 72*h**2 - 2 + 2 + 63*h**2.
2*h**2
Collect the terms in -349*a**3 - 8917 - 8917 + 41*a**3 + 17830 - 59*a**3.
-367*a**3 - 4
Collect the terms in -286716 - 216*z + 286716.
-216*z
Collect the terms in 22 - 220 - 851*f - 266*f - 63.
-1117*f - 261
Collect the terms in -76687*x - 19774*x - 13617*x + 483*x + 22.
-109595*x + 22
Collect the terms in -29107*c - 356*c**2 + 14558*c - 216*c**2 + 14549*c.
-572*c**2
Collect the terms in -1312*l + 39484*l + 169 - 168.
38172*l + 1
Collect the terms in -308*a - 27 + 27 - 109*a - 302*a + 5*a**3.
5*a**3 - 719*a
Collect the terms in 134800*j**2 + 2 - 4*j + 2*j**3 - 4*j + 9*j + 1.
2*j**3 + 134800*j**2 + j + 3
Collect the terms in 259*w - 172*w - 48*w - 40*w - 26*w.
-27*w
Collect the terms in 26818*a + 198 + 42634*a - 198.
69452*a
Collect the terms in 5878*j + 5891*j - 17663*j + 5895*j.
j
Collect the terms in -240*x - 299*x - 249*x + 1037*x - 255*x.
-6*x
Collect the terms in -8 + a - 75259*a**2 + 37599*a**2 + 37666*a**2 - a.
6*a**2 - 8
Collect the terms in -56*i - 39*i - 136 - 147 + 419 - 136.
-95*i
Collect the terms in -4*i**2 + 380 - 130 + 413 - 73.
-4*i**2 + 590
Collect the terms in -27*z**2 + 6*z**2 + 0*z**2 - 14*z**2 + 10*z**2 + 0*z**2.
-25*z**2
Collect the terms in -41624*t - 3 - 1 - 33747*t.
-75371*t - 4
Collect the terms in -199*r - 5 + 569*r - 176*r - 192*r.
2*r - 5
Collect the terms in -7*k**2 + 1445*k + 3618*k - 1702*k.
-7*k**2 + 3361*k
Collect the terms in 1097 + 1021 + 18*q**3 - 3250 - 15*q**3 + 1132.
3*q**3
Collect the terms in -45*i**2 + 16*i**2 + 1 - 21*i + 16*i + i + 14*i.
-29*i**2 + 10*i + 1
Collect the terms in 2*s**2 - 80*s**2 + 187*s**2 - 25*s**2 - 31*s**2 + 2*s - 37*s**2.
16*s**2 + 2*s
Collect the terms in a**3 - 27721057*a**2 + 27721057*a**2 - 70.
a**3 - 70
Collect the terms in 75325 + 86779 + 86778 - 248882 + 7*b.
7*b
Collect the terms in -2*p**3 - 7219*p + 7348*p + 3*p**3 + 5*p**2 - 2*p**3 + 5*p**2.
-p**3 + 10*p**2 + 129*p
Collect the terms in 3*m**3 - 3134055*m**2 - 3134060*m**2 - 2*m**3 + 2*m**3 + 6268115*m**2.
3*m**3
Collect the terms in 2*s - 42449*s**3 - 9837*s**3 - 15913*s**3 - 2*s.
-68199*s**3
Collect the terms in -159*b**3 - 67*b**2 - 108*b**2 + 175*b**2 - 4626*b**3.
-4785*b**3
Collect the terms in -84604*k**3 - 112235*k**3 + 6*k - 6*k.
-196839*k**3
Collect the terms in -37*i**2 - 210*i**2 + 74*i**2 - 154*i**2 + 17*i**2 - 135*i**2.
-445*i**2
Collect the terms in -36*g + 209*g + 78*g + 276*g - 1 + 0.
527*g - 1
Collect the terms in 754*p - 1302*p - 839*p - 370*p.
-1757*p
Collect the terms in -39 - 397*g + 7 + 26.
-397*g - 6
Collect the terms in -2157 - 2165 + 6444 + 293*f**3 - 2122.
293*f**3
Collect the terms in 2785*i**3 + 2783*i**3 - 14184*i**3 + 3117*i**3 + 2777*i**3 + 2721*i**3.
-i**3
Collect the terms in -10580*u + u**3 + 10672*u - 92*u.
u**3
Collect the terms in -43118*x**3 + 85992*x**3 - 149*x - 42869*x**3.
5*x**3 - 149*x
Collect the terms in -3*u**2 - 522 - 139 + 69*u - 140 + 801.
-3*u**2 + 69*u
Collect the terms in -236222983 + 3*f**3 + 23*f**3 + 236222983.
26*f**3
Collect the terms in -151641*y**2 - 151506*y**2 + 303125*y**2.
-22*y**2
Collect the terms in -418 - 3*m**2 + 5*m - 7*m + 3*m**2 - m**2 + 6*m.
-m**2 + 4*m - 418
Collect the terms in 343 - 5524392*z - 343.
-5524392*z
Collect the terms in 13*r**3 - 19 - 35*r**3 + 11*r**3 + 16*r**3 + 7*r**2.
5*r**3 + 7*r**2 - 19
Collect the terms in 1 - 129542*l**2 + 0 - 1.
-129542*l**2
Collect the terms in -4711 - y**2 - 4880 - 4861 + 14634.
-y**2 + 182
Collect the terms in 9*j - 66061866 + 66061866.
9*j
Collect the terms in -5*o**3 + 7400*o**2 - 1828*o**2 - 1822*o**2 - 1839*o**2 - 1911*o**2.
-5*o**3
Collect the terms in -k**2 + 352011 - 176007 + 9*k**2 - 176004.
8*k**2
Collect the terms in -4*u**2 - 51*u**2 - 4*u**2 + 29*u**2 - 4*u**2 + 31*u**2.
-3*u**2
Collect the terms in 9169*f + 9165*f + 9165*f + 2*f**3 + 9984*f + 9173*f - 46656*f.
2*f**3
Collect the terms in 0 + 187076*c + 3 - 9.
187076*c - 6
Collect the terms in 9*p + 263 + 267 - 864 + 352.
9*p + 18
Collect the terms in 5801 - 2877 - 2*c + 400*c**2 + 2*c - 2924.
400*c**2
Collect the terms in -56*v + v**2 + 37 - 56 + 29*v + 33*v.
v**2 + 6*v - 19
Collect the terms in -9894736 + 13*q + 9894736.
13*q
Collect the terms in -82964262*f**2 - 36*f**3 + 82964262*f**2.
-36*f**3
Collect the terms in 1375*q**3 - 678*q**3 - q + q + 0*q - 719*q**3.
-22*q**3
Collect the terms in 13292*t**2 - 233 + 132 + 101.
13292*t**2
Collect the terms in 9*q**2 - 2*q**2 - 2*q**2 + 0*q**2 + 13*q**3 + 3.
13*q**3 + 5*q**2 + 3
Collect the terms in 4671276*o**2 - 107120635*o**2 - 95632595*o**2.
-198081954*o**2
Collect the terms in -19*a + 6*a + 9*a - 17302782*a**2 + 17302781*a**2 + 4*a.
-a**2
Collect the terms in -4*m**2 - 2*m**2 + 8*m**2 - 4890384*m + 11*m**2 + 4890384*m.
13*m**2
Collect the terms in -1114*x**3 + 2176*x**3 - 5 - 1068*x**3.
-6*x**3 - 5
Collect the terms in 310*m**2 + 80*m**2 + 348*m**2 - 391*m**2.
347*m**2
Collect the terms in 25*p**2 - 137*p**3 + 25*p**2 + 19*p**3 - 27 + 27*p**2 + 117*p**3 - 77*p**2.
-p**3 - 27
Collect the terms in 1475 - 1176 + 2*t**2 - 343 - t**2.
t**2 - 44
Collect the terms in -135046*n + 57960*n - 139076*n.
-216162*n
Collect the terms in 4488369 + 5*a**2 - 4488369.
5*a**2
Collect the terms in 38*j + 41*j + 31*j - 173*j + 37*j + 44*j.
18*j
Collect the terms in 4916*y - 15008*y + 4861*y + 4987*y.
-244*y
Collect the terms in 29315*k + 11328*k + 28771*k + 4723*k.
74137*k
Collect the terms in 73577 - 739*o - 73577 + 252*o - 610*o.
-1097*o
Collect the terms in -2 - 6801*c**2 - 6796*c**2 + 20400*c**2 - 6803*c**2 + 42*c**3.
42*c**3 - 2
Collect the terms in -42*m + 11*m + 666 - 416 + 7*m - 250.
-24*m
Collect the terms in 1 - 25771*v**2 - 3 - 25737*v**2 + 51508*v**2 - 4*v**3 + | {
"pile_set_name": "DM Mathematics"
} |
387 - -27.1803. Let y = 146 - a. What is y rounded to 2 decimal places?
0.08
Let y be 11250*(2 + 1 - (5 + 2)). Round y to the nearest 10000.
-50000
Let q = 11.29 - 12.1. Let k = 0.04 - q. What is k rounded to one dp?
0.9
Let b = 0.186 + -0.1779. What is b rounded to three decimal places?
0.008
Let n = -10354485.9999992 - -10354482. Let d = 4 + n. What is d rounded to six decimal places?
0.000001
Let d = 8 + -5. Let o(l) = 46*l**3 - 4*l**2 + 1. Let v be o(4). Suppose 1019 + v = d*r. Round r to the nearest 1000.
1000
Let y = 2.9 + 141.1. Let z = y - 149.9. Let s = z - -5.8866. Round s to three dps.
-0.013
Let o(z) = -2649*z**3 - z**2 - z - 2. Let q be o(-2). Let c = -38988 + q. Round c to the nearest one thousand.
-18000
Let g = -359808036 - -573460222. Let r = -213652185.09999981 + g. Let k = -0.9 + r. Round k to seven dps.
0.0000002
Let h(l) = -l**2 + l + 49. Let w be h(0). Round w to the nearest 10.
50
Let o = -3.1 + 2.62. Let t = 0.78 - o. Let s = t + -1.347. Round s to 2 dps.
-0.09
Suppose -604122 = 2*v - 4*v - 2*w, -906178 = -3*v - 2*w. Suppose 2*g + v = 64056. What is g rounded to the nearest 10000?
-120000
Let l be 0 + (520000 - 3) + 3. Suppose l = 5*d - 10*d. What is d rounded to the nearest 10000?
-100000
Let u = -0.07521 + 0.07. What is u rounded to 3 dps?
-0.005
Let v = -25 + 24.92. Let w = v - -0.079993. What is w rounded to 6 decimal places?
-0.000007
Let p be (3 + 15/(-6))*10. Suppose p*q - 4*q = 0. Round q to six decimal places.
0
Let u = 471.9999622 + -472. What is u rounded to six decimal places?
-0.000038
Let h = -542.37 + 545. Let d = h + -0.13. Let q = d - 0.9. Round q to the nearest integer.
2
Suppose -10 = -5*g - 40. Let j = g - -11. Let q(o) = -o**3 + 4*o**2 + 5*o - 4. Let t be q(j). Round t to the nearest ten.
0
Let g = 3924157 - 17050046. Let z = -13125890.1199941 - g. Let x = z - -1.12. What is x rounded to six decimal places?
0.000006
Let i = -27 + 28.7. Round i to zero dps.
2
Let q = -0.01 + -5.99. Let z = -24 - -18.4. Let s = q - z. Round s to 1 decimal place.
-0.4
Suppose 3*s - 12 = -s. Suppose 0 = 4*k + s*t + 2015, 2*t + 2*t + 1520 = -3*k. Round k to the nearest 1000.
-1000
Let z = -2.65 - -2.6. What is z rounded to one decimal place?
-0.1
Let b = 89 - 89.053. Let g = 0.05300059 + b. What is g rounded to 7 dps?
0.0000006
Let p = 2.91 + -1.64. Let q = 1.270079 - p. What is q rounded to five dps?
0.00008
Let z = -18.53 + 0.43. Let o = z + 17. Round o to one dp.
-1.1
Suppose 63280772 = 3*d - 57263287. Suppose 5*o = 4*a - 53575131, 2*o - d = -3*a + o. Suppose 2*w - a = -3993784. Round w to the nearest one million.
5000000
Let l = -0.1 - -0.1. Let t = l - -3.8. Round t to 0 dps.
4
Let g = -48.4 + 42. Let l = -6.39957 - g. Round l to four dps.
0.0004
Let g(k) = 113*k**2 - 2. Let o be 2/(-6) + 7/3. Let s be g(o). Round s to the nearest one hundred.
500
Let h = -3861.19 - -3204.1. Let m = h - -653. Let l = m + 0.19. Round l to 0 dps.
-4
Let r = -139 + 138.974. What is r rounded to 2 decimal places?
-0.03
Let l be ((-4)/(-6))/((-2)/(-6000)). What is l rounded to the nearest ten thousand?
0
Suppose -7 = -y - 0. Let c be -6*-3*y/(-6). What is c rounded to the nearest ten?
-20
Let i = -27569 - -27567.69986. Let m = i - -1.3. Round m to four dps.
-0.0001
Suppose 2*m - 1 = 3. Suppose 1 = -m*d + 5. What is d rounded to the nearest ten?
0
Let v(o) = -220*o**2 - 2*o - 1. Let w be v(-4). Let i = w + 1643. Round i to the nearest one hundred.
-1900
Let t(f) = 5*f**3 + 7*f**2 + 5. Let o(h) = -6*h**3 - 8*h**2 - 5. Let d(a) = -4*o(a) - 5*t(a). Let q be d(-6). What is q rounded to the nearest ten?
100
Let f be 1 - 1 - (3 - 9). Let j be (-4)/12 + 3782/f. Round j to the nearest 100.
600
Let s = -3.72 - -3.3. Let a = -0.02 - s. Let n = -0.3999 + a. Round n to three dps.
0
Let g be ((-6)/(-4))/(1/(-2)). Let c = g + 5. Let f be -62 + 3*c/3. What is f rounded to the nearest one hundred?
-100
Let t = -750.105 - -748. Let s = 2 + t. Let b = s + 0.1. Round b to 2 decimal places.
-0.01
Suppose -15610 = 9*q - 2*q. Round q to the nearest 100.
-2200
Suppose k = 5*k - 9680. Round k to the nearest one hundred.
2400
Suppose -q = -3*q + 1560000. Suppose -2*c = -c - q. What is c rounded to the nearest one hundred thousand?
800000
Let q(g) = -1145*g**2 - 30*g + 15. Let w be q(7). Round w to the nearest 1000.
-56000
Let y = 9.131368539 + -0.131368529. Let m = 9 - y. What is m rounded to 7 decimal places?
0
Suppose v - z + 5 = 3*v, -15 = -2*v + z. Let p be v*475/2*-32. Round p to the nearest ten thousand.
-40000
Suppose -k - k = -8. Let d = 4 - k. Let v be (-2)/6*d - -150. What is v rounded to the nearest one hundred?
200
Let z = 32.6 - 35.13. What is z rounded to one decimal place?
-2.5
Let p = 816 + -822.33. Let n = -46.4 + 41. Let z = p - n. What is z rounded to 1 dp?
-0.9
Let c be 3 + 1/2*0 - 26. What is c rounded to zero decimal places?
-23
Let y(u) = -56*u**2 - 2*u - 2. Suppose t = 5*t - 4*b + 12, -2*b = 0. Let x be y(t). Round x to the nearest one hundred.
-500
Let i = -110.9999648 + 111. What is i rounded to 6 decimal places?
0.000035
Let y = -23.40825 + 21.4082505. Let x = -2 - -4. Let o = y + x. Round o to seven decimal places.
0.0000005
Let u = 31091.084 - 31040. Let k = u + -51. Let t = k + -0.051. What is t rounded to 2 dps?
0.03
Let u = -0.9 - -6.2. Round u to the nearest integer.
5
Let l = 841 + -591. Let h be l/3*1*-48. Round h to the nearest one thousand.
-4000
Let h = 12 - 11.77. Round h to 1 decimal place.
0.2
Let t = 18.222 + -0.022. Round t to zero decimal places.
18
Let a = 10.012 - 10. Round a to 3 dps.
0.012
Suppose h + 17 = 4*u, -5*u + 6 = -5*h - 4. Let r = 5 - u. Suppose 2*o - 3*o = r. What is o rounded to the nearest ten thousand?
0
Let f = 56296 + -32896. What is f rounded to the nearest 1000?
23000
Let d = -11164794.000058 - -11164850. Let h = d + -56. What is h rounded to 5 decimal places?
-0.00006
Let g = 62 - 62.00051. What is g rounded to four decimal places?
-0.0005
Let z(d) = -d**3 - 3*d**2 - 6*d - 5. Let o be z(-3). Let p be o + -13 + (-17800)/2. What is p rounded to the nearest 1000?
-9000
Let w = -16 + 15.93. Let d = w - 2.93. Let p = d - -2.999997. Round p to 6 decimal places.
-0.000003
Let r = 96 + -60. Let q = -184 + r. Round q to the nearest 10.
-150
Suppose 4*p = 2*h - 570, 3*h + 2*p + 568 = 5*h. Round h to the nearest 10.
280
Let k = 297.9999742 - 298. Round k to 6 dps.
-0.000026
Suppose -3*k - 44 = -2*k. What is k rounded to the nearest ten?
-40
Suppose 3*s + 10 = 5*h - 8, -h - 6 = s. Let o(z) = -1466667*z - 2. Let v be o(s). What is v rounded to the nearest 1000000?
9000000
Let g be 0 - (-3 - -3) - 2. Let y = 3 - g. Suppose y*j - q = -511429 - 938572, 2*j - q + 580001 = 0. Round j to the nearest 100000.
-300000
Let n = 1 - 11. Let d = 950648 - 950658.000017. Let t = n - d. What is t rounded to 5 decimal places?
0.00002
Let x be (-1)/2 - (-168231)/6. Let o = -13638 + x. What is o rounded to the nearest one thousand?
14000
Let a = -465.17 + 416. Let b = a - -50. Let v = b - 0.8. What is v rounded to 2 dps?
0.03
Let f be -12830978 - (-2)/2 - -1. Let n = 5330976 + f. What is n rounded to the nearest one million?
-8000000
Let s be 1/4 - 3/(-4). Let p be (534849/(-9))/(s/3). Let g = -348283 - p. What is g rounded to the nearest one hundred thousand?
-200000
Let b(y) = 2200002*y - 2. Let t be b(1). What is t rounded to the nearest 1000000?
2000000
Let h = -0.094 - -0.255. What is h rounded to 2 decimal places?
0.16
Let s = -3 - -6. Suppose -532 = -5*x + h, 129 - 566 = -4*x - s*h. Let k = -27 + x. Round k to the nearest one hundred.
100
Let q(v) = -710001*v**2 + v. Let a be q(1). What is a rounded to the nearest 100000?
-700000
Let j(k) = 91*k**2 + 5. Let b be j(-5). Suppose -o = 2*o + b. Let u = -2640 + o. What is u rounded to the nearest one thousand?
-3000
Let b = -2.864 - 0.036. Let h = b + 86.9. Let r = -84.000109 + h. Round r to 5 decimal places.
-0.00011
Let r = -4839.14 - -4899.1454. Let k = 60 - r. Round k to three decimal places.
-0.005
Let u = -3.8 + 5.04. Let j = -1.1 + u. Round j to 1 dp.
0.1
Let r(h) = h**2 - 8*h - 3. Let f be r(8). Let o be (257 - f)*(-299 + -1). What is o rounded to the nearest ten thousand?
-80000
Let g = 420183725.20000254 + -420183694. Let k = -31.2 + g. What is k rounded to seven | {
"pile_set_name": "DM Mathematics"
} |
6006*n - 791808 = 0.
-128, 1, 2062
Solve -x**4/2 + 752423*x**3 - 566140370929*x**2/2 = 0 for x.
0, 752423
Let -q**3/5 + 1765311*q**2/5 - 779104562832*q/5 + 21034536304428/5 = 0. What is q?
27, 882642
Let 2*s**4/7 - 6158*s**3 + 272209176*s**2/7 - 174476734560*s/7 - 2147285547448704/7 = 0. What is s?
-2171, 7908
Factor 5*r**3 + 9690*r**2 - 1865700*r + 85779000.
5*(r - 90)**2*(r + 2118)
Determine l so that 22557*l**2/4 + 22561*l/4 + 1 = 0.
-1, -4/22557
Let 21999*y**3 + 15234*y**2 - 6765*y = 0. What is y?
-1, 0, 2255/7333
Let -3*g**4/4 - 11733*g**3/2 - 59393223*g**2/4 - 11997597771*g - 11982755331 = 0. Calculate g.
-3054, -1713, -1
Let -137522529*w**5 + 9214032897*w**4 - 149626082971*w**3 - 158950525505*w**2 + 27111736*w - 1156 = 0. Calculate w.
-1, 1/11727, 34
Find i, given that -3*i**5 - 5166*i**4 - 1221036*i**3 + 947631672*i**2 + 1900106208*i = 0.
-1014, -2, 0, 308
What is x in -2*x**2/9 + 4154192*x/9 - 8308360/3 = 0?
6, 2077090
Let 2*i**3/9 - 7174*i**2 + 174673792*i/3 - 47152781312/9 = 0. What is i?
91, 16096
Factor -5*p**4 - 786755*p**3 - 786750*p**2.
-5*p**2*(p + 1)*(p + 157350)
What is s in 2*s**2/5 + 44715892*s/5 - 89431792/5 = 0?
-22357948, 2
Let 2*k**3/3 - 4675250*k**2 + 8196728948058*k + 24590228921442 = 0. Calculate k.
-3, 3506439
Factor -2*k**2/5 - 4402*k/5 + 53336.
-2*(k - 59)*(k + 2260)/5
Let 3*z**2 + 29407596*z + 72067225208268 = 0. Calculate z.
-4901266
Find l such that l**3/2 - 3997*l**2 - 40019*l/2 + 95988 = 0.
-8, 3, 7999
Suppose z**3/2 - 276*z**2 - 7574*z + 34680 = 0. Calculate z.
-30, 4, 578
Determine g, given that -g**2 - 1015*g - 232434 = 0.
-666, -349
Factor -2*w**2 + 1744544*w - 380429220992.
-2*(w - 436136)**2
Factor -g**3/3 - 3491084*g**2/3 + 1163695*g.
-g*(g - 1)*(g + 3491085)/3
Factor -2*r**4/11 + 61816*r**3/11 + 432810*r**2/11.
-2*r**2*(r - 30915)*(r + 7)/11
Factor -2*f**2/13 - 155566*f/13 - 65292684/13.
-2*(f + 422)*(f + 77361)/13
Factor f**2/2 + 7163*f/2 - 25095.
(f - 7)*(f + 7170)/2
Let -b**3/5 + 127438*b**2/5 - 892017*b/5 = 0. Calculate b.
0, 7, 127431
Factor 4*n**2 - 8513024*n - 59591364.
4*(n - 2128263)*(n + 7)
Factor 2282802*a**2 - 27393620*a - 48.
2*(a - 12)*(1141401*a + 2)
Factor -3*b**2 - 3186336*b - 846061425408.
-3*(b + 531056)**2
Factor 4*u**3 + 62572*u**2 + 375320*u + 500384.
4*(u + 2)*(u + 4)*(u + 15637)
What is l in -2*l**3/7 - 164*l**2/7 - 418*l/7 + 632 = 0?
-79, -7, 4
Find z, given that 5*z**3 + 51485*z**2 + 139472800*z + 35237489920 = 0.
-5008, -281
Factor -1472*c**2/11 - 1801*c/11 + 2286/11.
-(c + 2)*(1472*c - 1143)/11
Solve -4*k**3/9 - 320*k**2/9 + 1276*k/9 + 23240/9 = 0.
-83, -7, 10
Determine u so that -2*u**2/15 + 1106*u/3 - 241684/5 = 0.
138, 2627
Determine d so that -d**3 - 5101042*d**2 - 6505162472480*d - 13010304540800 = 0.
-2550520, -2
Let -2*p**2/3 + 13437286*p/3 + 4479096 = 0. Calculate p.
-1, 6718644
Find g such that -2*g**2 - 895052*g - 28639616 = 0.
-447494, -32
Determine d so that -d**5/3 - 13316*d**4/3 - 32386549*d**3/3 + 28101473790*d**2 = 0.
-7423, 0, 1530
Let -2*x**2/9 + 168*x + 2336282/9 = 0. What is x?
-767, 1523
Let -b**4/2 + 77*b**3 + 6347*b**2/2 - 580842*b - 5425218 = 0. Calculate b.
-81, -9, 122
Factor u**3/9 - 2486*u**2/9 + 126803*u/9 - 571990/9.
(u - 2434)*(u - 47)*(u - 5)/9
Solve 19*x**4/2 + 15001*x**3/2 + 388023*x**2/2 + 2650063*x/2 + 644735 = 0.
-763, -13, -10/19
Determine p so that 5*p**4 + 1275*p**3 - 33750*p**2 - 497900*p - 850680 = 0.
-278, -9, -2, 34
Let -13*z**5 - 15*z**4 + 3768*z**3 - 3164*z**2 - 576*z = 0. What is z?
-18, -2/13, 0, 1, 16
Factor x**3/4 - 4753*x**2/2 + 838023*x/4 + 423765/2.
(x - 9417)*(x - 90)*(x + 1)/4
Let 4*w**4 - 370248*w**3 + 11423631792*w**2 - 117488245103456*w = 0. What is w?
0, 30854
Factor -d**3 + 645744*d**2 - 5165904*d + 10331776.
-(d - 645736)*(d - 4)**2
Find w such that -4*w**5 + 27272*w**4/5 + 230332*w**3/5 + 225968*w**2/5 - 263344*w - 109760 = 0.
-5, -2/5, 2, 1372
Find w, given that 2*w**2/9 - 2868*w - 879920/9 = 0.
-34, 12940
Let 3*p**3 - 630*p**2 + 31929*p + 66402 = 0. Calculate p.
-2, 93, 119
Factor 8*q**3 + 56220*q**2 + 11219184*q + 567933552.
4*(q + 102)**2*(2*q + 13647)
Factor 602805*o**2 - 602862*o + 57.
3*(o - 1)*(200935*o - 19)
Factor -5*k**2 + 38988690*k - 155954680.
-5*(k - 7797734)*(k - 4)
Determine k so that 64*k**4/3 - 27277664*k**3 + 204582148*k**2/3 - 28982464*k + 10229104/3 = 0.
1/4, 2, 1278638
Factor 5*z**2 - 29433*z + 994942.
(z - 34)*(5*z - 29263)
Solve 4*q**2 + 1219174*q/3 - 2506232 = 0 for q.
-101604, 37/6
Find r, given that 4*r**2/13 - 56763210*r/13 + 28381604/13 = 0.
1/2, 14190802
Factor -2*q**2 + 584*q + 968410.
-2*(q - 857)*(q + 565)
Solve -2*i**4/3 + 92222*i**3/3 - 92216*i**2 - 8*i/3 + 368864/3 = 0 for i.
-1, 2, 46108
Factor -2*r**2 + 26064*r - 416512.
-2*(r - 13016)*(r - 16)
Factor -v**3 + 23922*v**2 - 2761260*v - 5618216.
-(v - 23806)*(v - 118)*(v + 2)
Factor 2*r**3 + 2148*r**2 - 260702*r - 262848.
2*(r - 111)*(r + 1)*(r + 1184)
Let -a**2 - 2166344*a + 2166345 = 0. Calculate a.
-2166345, 1
Let i**2/7 + 1560166*i - 21842328/7 = 0. Calculate i.
-10921164, 2
Factor -f**2/6 + 1999*f/6 + 517275.
-(f - 3025)*(f + 1026)/6
Find o such that -3*o**5 + 5250*o**4 + 121866*o**3 + 833976*o**2 + 1962009*o + 1244646 = 0.
-13, -6, -3, -1, 1773
Factor 2*n**2/11 + 6634*n - 4898236/11.
2*(n - 67)*(n + 36554)/11
Determine d so that -10*d**5 + 260194*d**4 - 1673287450*d**3 - 250982255442*d**2 + 356661157860*d + 303988842864 = 0.
-148, -3/5, 2, 13083
Find h such that 12*h**5 + 1384*h**4 - 52136*h**3 + 235104*h**2 + 390812*h + 102200 = 0.
-146, -1, -1/3, 7, 25
Let 2*o**5/7 - 4260*o**4/7 + 33722*o**3/7 + 487656*o**2/7 + 857096*o/7 + 407424/7 = 0. Calculate o.
-6, -1, 16, 2122
Determine z so that z**4/6 - 511*z**3/6 + 13310*z**2 - 838266*z + 18653544 = 0.
63, 78, 292
Determine k so that 1239*k**4 - 4902*k**3 - 88185*k**2 - 85608*k - 3564 = 0.
-6, -1, -18/413, 11
Determine m so that 18*m**5 + 64216*m**4 - 157118*m**3 - 135636*m**2 + 85680*m = 0.
-3570, -1, 0, 4/9, 3
Factor -u**4 + 643*u**3 + 98948*u**2 - 200460*u.
-u*(u - 771)*(u - 2)*(u + 130)
Suppose -3*g**2/5 - 4051194*g - 6838405344015 = 0. What is g?
-3375995
Factor 2*j**2 - 139477160*j + 2431734770208200.
2*(j - 34869290)**2
Factor -5*g**2 - 2946365*g + 11785540.
-5*(g - 4)*(g + 589277)
Solve -g**2 - 1383*g + 1200148 = 0.
-1987, 604
Solve 2*p**4/7 - 2532*p**3/7 - 15822*p**2/7 + 10610352*p/7 - 246693600/7 = 0.
-75, 36, 1269
Factor c**3/5 - 583*c**2/5 + 11970*c.
c*(c - 450)*(c - 133)/5
Solve -b**2/2 - 355020585*b - 126039615773742225/2 = 0 for b.
-355020585
Let -4*o**3 - 3032*o**2 + 15236*o - 18312 = 0. What is o?
-763, 2, 3
Solve 2*u**5/5 - 72*u**4 + 15034*u**3/5 - 229236*u**2/5 + 225792*u = 0.
0, 10, 21, 128
Factor -2*f**2/9 - 1317596*f/9 + 292800.
-2*(f - 2)*(f + 658800)/9
Factor -3*c**2 - 7333329*c + 110000610.
-3*(c - 15)*(c + 2444458)
Solve y**3 - 189140*y**2 + 189137*y + 378278 = 0.
-1, 2, 189139
Solve 507*u**3 - 2291835*u**2 - 1410504*u - 217008 = 0.
-4/13, 4521
Solve 5*s**3/4 + 188005*s**2/4 + 1879675*s/4 + 4698875/4 = 0 for s.
-37591, -5
Factor -3*i**2/4 + 3319159*i/4 + 1106387/2.
-(i - 1106387)*(3*i + 2)/4
Solve 1447209*v**4/5 - 475185*v**3 - 1024731*v**2/5 - 4887*v - 30 = 0.
-1/3, -5/401, 2
Solve -c**4/2 - 227428*c**3 + 454858*c**2 = 0 for c.
-454858, 0, 2
Find v such that -v**4 - 71455*v**3 - 571567*v**2 + 643023*v = 0.
-71447, -9, 0, 1
Factor 2*m**2 + 855412*m + 1710816.
2*(m + 2)*(m + 427704)
Let 3*a**4/7 - 13353*a**3/7 + 624105*a**2 - 493279275*a/7 + 18734138250/7 = 0. What is a?
115, 4106
Factor -2*v**2 - 37372*v - 148475760.
-2*(v + 5730)*(v + 12956)
Factor -2*v**2/9 + 1646*v/9 + 5044940/3.
-2*(v - 3193)*(v + 2370)/9
Let 3*q**2 + 87495*q + 3495000 = 0. What is q?
-29125, -40
Factor 3*j**3 + 151219371*j**2 + 1905608104859949*j - 1905608256079323.
3*(j - 1)*(j + 25203229)**2
Determine m, given that -2*m**4 + 7664*m**3 + 1908998*m**2 + 115270540*m = 0.
-119, 0, 4070
Solve -s**3/6 - 248052*s**2 + 10914530*s - 360182152/3 = 0.
-1488356, 22
Determine l so that 7125*l**4 + 270290*l**3 + 972895*l**2 + 662810*l - 46920 = 0.
-34, -3, -1, 92/1425
Find m such that -2*m**2/5 - 36742534*m/5 = 0.
-18371267, 0
Determine s, given that 2*s**5 - 200*s**4 + 1380*s**3 + 50360*s**2 + 95770*s + 46992 = 0.
-11, -1, 24, 89
Factor 3*w**2 - 2164542*w - 28139553.
3*(w - 721527)*(w | {
"pile_set_name": "DM Mathematics"
} |
6281)/3426.
-1/11
What is (70/(-4270))/((-3)/(-6))?
-2/61
Evaluate 287/2583 - 273/1971.
-2/73
Calculate (-16)/(-88) - (-63)/(-1617).
1/7
(380/(-247))/5 - 264/(-13)
20
Calculate ((-21)/10)/(-37 + (-1253)/(-35)).
7/4
Evaluate -3 + 16/6 + 133/21.
6
What is the value of (-11)/((((-30)/24)/1)/(65/(-78)))?
-22/3
What is the value of 94/(-658) + 11/175?
-2/25
What is ((-663)/(-170) - 8) + (-2)/(-20)?
-4
What is the value of (-10)/18 + (-94886)/(-184338)?
-2/49
Calculate (-6)/252*35 + 7/30.
-3/5
Calculate (-38000)/(-1140) + (-32 - 1).
1/3
(12/60 - 6/(-30))/(32/(-30))
-3/8
Calculate -11 + -1 + (45 - 42).
-9
Evaluate (106 + 39273/(-371))*(0 - (-7)/(-3)).
-1/3
What is the value of ((-91)/(-14) - 2)*42/(-1575)?
-3/25
(-7 - -4)/33 + 3751/11979
2/9
76/28 - (-2)/(-4)*(-460)/805
3
Evaluate (23/((-644)/(-8)))/(5/(-7)).
-2/5
What is the value of (-5 - (3 + -6) - -1)*(-145 + 142)?
3
Calculate ((-32)/(-72))/((616/72)/11).
4/7
What is 1/((-3)/(-44))*((-21816)/(-792) + -27)?
8
What is the value of ((-106)/11 - 2)*31/(-62) + -6?
-2/11
What is the value of 388/(-2910) + 2/25*(-590)/6?
-8
What is the value of ((-1)/(-3) + 21/(-9))/(5980/230)?
-1/13
2344/472 - (-48)/1416
5
What is the value of (-144)/180 - 490/(-675)?
-2/27
What is the value of (-208)/6*(3675/165 + -22) - -10?
6/11
Evaluate 3/21 + -3 + 1564/(-119).
-16
What is the value of (-2)/((-720)/124) - 291/970?
2/45
Calculate 40*(705/(-270))/47.
-20/9
Evaluate (1/(-3))/((-1367)/(-53313)).
-13
Evaluate 342/4446 + 3/39*155.
12
What is the value of (-364)/(-39) - (-128)/(-24)?
4
Calculate (-4*(-1)/8*-2)/3*6.
-2
Evaluate 255/(-663)*-13*(-1)/20.
-1/4
What is ((-82)/(-700))/(4/(-32)) - 282/(-329)?
-2/25
Evaluate 65/(-710)*456/1482.
-2/71
Calculate -6 - (-2 - -26 - -1)/(4/(-4)).
19
Calculate (8/52 - 74/(-26)) + (-300)/110.
3/11
Calculate (5/(-25))/(224/160) + (-2)/(-112).
-1/8
What is (-4)/(-58) - (9 + 1610/(-203))?
-1
(((-65)/40)/13)/((-402)/1072)
1/3
What is ((-95)/(-100) + -2)*(-19)/133?
3/20
Calculate ((-78)/390)/(4/10) + (-2)/(-10).
-3/10
Calculate 1688/140 - 12 - (-10170)/(-350).
-29
((-104)/(-13) + -14)*(-4)/(-6)
-4
What is (-4536)/(-270)*(-20)/(-12)?
28
What is 1 - -33 - 3048/381?
26
What is -3 - (-9 + 4) - 0?
2
What is the value of (-41)/205*(-10)/(-6)?
-1/3
Evaluate 7*(42 + -44) - 15.
-29
What is (-15 + 11 - -10)*(3 - (-3 - -3))?
18
((-3)/(8 - (-33)/6))/(69/(-9))
2/69
Calculate -5 - (15 - 12)/(-1).
-2
Calculate 5*-3 + (-3375)/(-250).
-3/2
What is (1 + -4 + 0)*(-1453)/1453?
3
579/3567 + 412/(-2987)
1/41
What is -10*11/((-165)/(-12))?
-8
Evaluate (231120/(-552))/(-30) + -14.
-1/23
Evaluate (-1647)/69 - 3696/(-154).
3/23
What is the value of (-4440)/6300 - (85/35 - 3/1)?
-2/15
What is (-2436)/196 - (-8)/(-14)?
-13
What is the value of 16*42/(-280)*5?
-12
Calculate 25/(-5) + (-7)/14*38.
-24
Evaluate 7 + -7 + 15 + (15 - 56).
-26
-13 + (-20)/(700/(-465))
2/7
12/10 - 1 - 51576/(-3070)
17
Evaluate ((-265)/265)/(5/7).
-7/5
Calculate (-6 + 3)*3*(-38)/570.
3/5
Evaluate ((-46)/(-4))/((-321)/749*7/6).
-23
Evaluate (-22161)/(-5478) + -6*1/11.
7/2
(2/(-14))/((-357)/1666) - 22/36
1/18
What is ((-369)/21 - -14) + 3?
-4/7
What is (150/(-175))/(0 + 24/224)?
-8
Calculate 18/(-27) + (-14)/6 - (-18)/(-2).
-12
What is the value of (-1064)/1596 - ((-640)/246)/4?
-2/123
What is the value of ((-1295)/(-49))/5 + -21 + 9 + 6?
-5/7
What is the value of ((-8)/70)/(192/224 + 0)?
-2/15
What is the value of (-2)/(1/4 + -4*1/(-16))?
-4
What is (-1)/(-7) - (-21)/(2940/92)?
4/5
Evaluate 93/((-29295)/(-1120)) - 3/1.
5/9
What is the value of 3/6 + -3 - (300/(-24))/25?
-2
Calculate ((-6)/5 - -1)/((17 - -95)/10640).
-19
What is 13034/(-882) + (17 - 2)?
2/9
Calculate (7/(588/(-56)))/(((-21)/108)/(-7)).
-24
-2 - (460/(-45) - 104/((-104)/8))
2/9
(-24)/(-3) + (-16250)/2015
-2/31
What is ((-603)/(-2479))/(18/4)?
2/37
Evaluate (7*1)/((-7217)/10310).
-10
Calculate (-165)/(-150) + (-12)/20.
1/2
Evaluate 12*-3*19/38.
-18
What is the value of 8/(-1) + 10 + (36/(-4) - 21)?
-28
((-208)/20)/(88/(-110))
13
(44/(-4))/((-2)/(-4) + 4/8)
-11
Calculate (1/3)/(((-2585)/(-10575))/((-12)/15)).
-12/11
What is the value of (-3 - (-9 - -3)) + 4940/(-2660)?
8/7
(3/1*1482/(-1170))/((-2)/(-10))
-19
Evaluate (1 + (-1)/15)/(748/(-51) - -14).
-7/5
What is the value of ((-10)/(-12))/(70/49 + (-4675)/3150)?
-15
What is the value of (19/(-38) - ((-45)/10 + 4))*-1?
0
171/(-30) + 357/(-1190)
-6
Calculate 36/270 - (2/15)/((-12)/60).
4/5
((75/10)/5)/((-12)/(-88))
11
What is (-9 - -53)/(-6 + (-5)/(30/(-24)))?
-22
Calculate (-27)/(-3)*(2/(96/92) + -2).
-3/4
Evaluate ((-14)/(-35) + -1 + (-160)/(-100))/1.
1
(-1674)/372*28/(-9)
14
What is the value of (36*(-16)/1848)/(38/(-266))?
24/11
332/(-68) - -5 - 3045/595
-5
Calculate (8715/(-28))/(-83)*-4.
-15
What is the value of (-544)/90 - (-18 - -17)*6?
-2/45
Calculate 782/(-92)*(-30)/17.
15
What is 13832/(-10010) - (4/(-11))/2 - 0?
-6/5
126/(-294)*2/(-18)
1/21
What is the value of 68/(-153) - (-300)/(-54)?
-6
Calculate (-2 - (-27)/6)/((-536)/(-32) - 17).
-10
((-28)/(-40))/(-7) - (-1112)/(-80)
-14
((-10)/36)/((-1525)/915)
1/6
What is the value of ((-225)/4455)/(235/282)?
-2/33
What is (-4)/42*((-882)/(-144) - 25/200)?
-4/7
What is (-19)/((-114)/(-66))*-1?
11
What is the value of (-8)/(-202)*(1441/22 - 66)?
-2/101
(-4)/(-40)*56*2 + 12/(-10)
10
((-2)/4)/(-9*(-105)/378)
-1/5
Evaluate (68 + (-16128)/240)*17/4.
17/5
What is 16/51680*245 - (-18)/(-171)?
-1/34
What is the value of (-2330)/60 + 6/(-36) - (-15 - -9)?
-33
What is 1246/1470 + (-40)/56?
2/15
(-868)/496 - (-515)/180
10/9
Evaluate (-134)/1407 + 3/(3213/228).
2/17
What is (32/(-5) - 8/(-20)) + 0 + 0?
-6
Calculate (750/450)/((-5)/18).
-6
9*(-16)/(-168) + 4224/(-5712)
2/17
What is ((-2)/(-7) - 9779/17248)*4/3?
-3/8
((-2)/(-6))/((-38)/342) + -16
-19
Evaluate 202/707 - (-40)/7.
6
(-10 + -3 + 15)/(6 - (-141)/(-9))
-6/29
What is ((-1600)/700)/((-2)/(-7))?
-8
What is (6/42*0)/((-10 - -6) + 1)?
0
What is 6/(-9)*(-5 + 70/(-28))?
5
Calculate 9/2 - 10/4.
2
Calculate -4 - -18*(4 - (-91)/(-26)).
5
What is 1 + (6*5/60)/(-11 + 12)?
3/2
Evaluate 48/(-80) - 672/(-70).
9
8320/(-480) - 8/12
-18
What is (12/460)/(18/60)?
2/23
Evaluate (192/(-30))/(-4)*(-15)/(-6).
4
What is (-2)/(-11) - (-1387)/18810 - 63/315?
1/18
(-2 - 18/(-8))/((-996)/72 - -12)
-3/22
What is 3*-1*3 - (10 - (29 + -16))?
-6
(16 + (-17)/((-2601)/(-2516)))/((-2)/1)
2/9
What is the value of (64/(-56))/(-4)*(-21)/(-45)?
2/15
Evaluate ((-72)/(-15) - 8)*(-5)/(-20).
-4/5
What is the value of (132/12 + 204/(-30))*5?
21
Calculate 0/(-7) + 10/(-2) + 10149/2040.
-1/40
(-65 + (-11888)/(-184))*4/(-6)
6/23
What is 6/18*10/(-20)?
-1/6
Calculate (-52917)/(-2276) - (-21)/12.
25
Calculate (-16)/(-2)*(0 - (-35)/28).
10
27/(-15) + (2 - 1) + (-322)/805
-6/5
Evaluate 20 + -2 + -4 + -2.
12
What is 9/4 + (-1)/(-4) + 201/(-134)?
1
Calculate 315/(-3920)*8 + 1/2.
-1/7
What is the value of (-231)/(-117) + 1*105/(-63)?
4/13
What is the value of ((-3)/(-12))/((-60 + 30)/3480)?
-29
What is -6 - (-13 - (-1705)/242)?
-1/22
Calculate (-11 + (-530)/(-50))/(6/(-345)).
23
Calculate 1*(-16)/960*-24*5/(-2).
-1
What is 1 - (-17 - 1936/(-99))?
-14/9
Evaluate (-3)/(-9)*6/(-12)*(-12)/(-8).
-1/4
Calculate 6/(-11) - (-125)/3850*30.
3/7
1/(-7) - (756/(-147) + -25)
30
Calculate (-3 - 6)*(-7 + 40/5).
-9
Evaluate (-40894)/3429 - (-7 - 5).
2/27
12/(-24)*((-368)/(-56) - 8)
5/7
What is the value of -1*5 - (7 + (-19)/((-209)/(-66)))?
-6
-14 - ((4 - 21) + 8)
-5
(-25)/2 + 2/((-28)/(-21))
-11
What is the value of ((-12)/20*(129 + -131))/(6/75)?
15
Evaluate 2/(-12) + (1530/(-324) - 8/72).
-5
What is (-1 - (-561)/578)*-4?
2/17
Calculate -2 - -1 - (-819)/702.
1/6
What is 13 - (-1 + 25) - (0 - (-927)/(-84))?
1/28
What is the value of 21 + -2 + (-6751)/314?
-5/2
What is (-38332)/2590 + 2/(-10)?
-15
Calculate (-96)/16 - -1*25 - (-17)/17.
20
What is the value of (-18)/((-8)/4) - 27/(-189)*-62?
1/7
4/106 - (-34)/((-66674)/41255)
-21
What is the value of (4/5)/(258/15 + -28)?
-2/27
What is (-12)/(-8)*1320/(-396)?
-5
Calculate (-9)/10*108/729*(3 + -6).
2/5
Evaluate (-1630)/(-55) - (-6 + 36).
-4/11
Evaluate (-9 - (-20 + 10))/((-304)/(-48)).
3/19
(13/(-3) + 245/49)/(10/(-255))
-17
What is the value of (-240)/182 + 768/1664?
-6/7
What is the value of (70/(-12))/7 + 615/765 + 0?
-1/34
What is ((-6)/(-15) + -1)* | {
"pile_set_name": "DM Mathematics"
} |
*4/24 - 9*h**2. Find the second derivative of n(f) wrt f.
12
Let q = -4 + 2. Let c be q - 2*4/(-2). Differentiate 1 - 6*m**2 + m**2 + 3*m**c with respect to m.
-4*m
Let y(q) be the second derivative of 1/5*q**5 + 0 + 1/6*q**4 + 0*q**2 + q + 0*q**3. Find the third derivative of y(x) wrt x.
24
Let u = -72 + 75. Let j(g) be the first derivative of 0*g**u - 1/2*g**4 - 3 - 3*g + 0*g**2. Differentiate j(o) with respect to o.
-6*o**2
Find the second derivative of 24*k**2 + k - 9*k**2 - 14*k wrt k.
30
Let t(q) be the first derivative of 6*q**7/7 - 4*q**3/3 - 6. Find the third derivative of t(i) wrt i.
720*i**3
Let x = 13 + -11. What is the third derivative of -3*k**4 - 3*k**x - 2*k**2 + 5*k**4 wrt k?
48*k
What is the third derivative of 20*j**6 - 6*j**2 - 13*j**6 - 16*j**6 wrt j?
-1080*j**3
Find the second derivative of -3*j - 4*j**4 + 3*j + 2*j - 2*j**4 wrt j.
-72*j**2
Let a(w) = 2*w + 42. Let o(y) = -5. Suppose -2*t + 2*g + 6 = 0, -24 = -4*t - g - g. Let l(i) = t*a(i) + 40*o(i). What is the first derivative of l(c) wrt c?
10
Suppose -2*g + 4 = -0. Find the third derivative of -b**3 + 3*b**2 - 6*b**2 + b**g wrt b.
-6
Let n(z) be the first derivative of z**5/5 + 6*z - 3. Differentiate n(w) with respect to w.
4*w**3
Let a(b) = b + 2*b**2 - 9*b**2 + 3 + 3*b**2. Let k(u) = -20*u**2 + 4*u + 16. Let r(v) = 16*a(v) - 3*k(v). Find the second derivative of r(j) wrt j.
-8
What is the derivative of 48 - 73 - 42*h + 39 wrt h?
-42
Suppose -10 = -0*y - 2*y. Find the third derivative of -2*s**5 - 2*s**2 + 5*s**2 + 0*s**5 + 3*s**y wrt s.
60*s**2
Find the third derivative of -11*d**5 + 2*d**5 - 3*d**5 - 32*d**2 - 12*d**2 wrt d.
-720*d**2
Let s(x) be the third derivative of x**6/120 - 2*x**3/3 - 8*x**2. Find the first derivative of s(y) wrt y.
3*y**2
Let m(n) be the third derivative of 0 - n**2 + 1/2*n**3 + 0*n + 1/24*n**4. What is the derivative of m(z) wrt z?
1
Suppose j + a = -2*a + 14, 3*j - 5*a + 14 = 0. Differentiate 0 + 2 + 3*s - 7 - j wrt s.
3
Let j be (-5 + 3)/((-1)/6). Let h be (-6)/4*(-16)/j. Find the third derivative of 2*k**2 + 0*k**h - 1 + 1 + k**4 wrt k.
24*k
Suppose 0 = -3*v - 5*i + 21, -6*v + 4*i - 2 = -v. What is the third derivative of -7*d**2 - d**5 + d**v + 2*d**5 + 4*d**5 wrt d?
300*d**2
Let g(k) be the first derivative of 38*k**3/3 - 46*k + 41. Differentiate g(z) wrt z.
76*z
Let m = 3 + -3. Suppose -z - 4*z + 10 = m. Find the third derivative of 0*b**6 + b**6 - z*b**2 + b**2 wrt b.
120*b**3
Find the first derivative of 9 - 10*i**2 - 8*i**2 - 10 wrt i.
-36*i
Let q = 2 - 0. Find the first derivative of -4*i + 6*i - 4 - 6*i**2 - q*i wrt i.
-12*i
Let l be ((-1)/(-3))/((-2)/(-24)). Find the first derivative of -276*p**2 - 2 - 9*p**l + 276*p**2 wrt p.
-36*p**3
Let n(w) be the second derivative of 11*w**5/20 + w**4/3 + 16*w. What is the third derivative of n(k) wrt k?
66
Let m(y) be the second derivative of y**4/6 - 4*y**2 - 3*y. Differentiate m(p) wrt p.
4*p
Let z be 2/(-8) - 9/(-4). Let r = 4 - z. Find the third derivative of l**2 + l**2 + 0*l**r - l**6 wrt l.
-120*l**3
Let j(f) = 1 + f**3 + 0*f + 0*f + 0*f. Let i(d) = 3*d**3 + 5. Let s(c) = -4*i(c) + 18*j(c). Differentiate s(g) wrt g.
18*g**2
Let d(z) = -3*z**2 - 9*z - 46. Let x(p) = 5*p**2 + 9*p + 45. Let n(v) = 4*d(v) + 3*x(v). Differentiate n(j) with respect to j.
6*j - 9
Find the first derivative of -26 - 18*y - 39 + 41 wrt y.
-18
Let u(m) = m**3 + 11*m - 5. Let x(l) = -6*l + 3. Let h(t) = -6*u(t) - 10*x(t). What is the second derivative of h(f) wrt f?
-36*f
Let l(s) be the third derivative of 0*s - 4*s**2 - 1/168*s**8 - 1/6*s**4 + 0*s**7 + 0*s**5 + 0 + 0*s**6 + 0*s**3. Find the second derivative of l(h) wrt h.
-40*h**3
Let v(d) = 2*d**4 + 13*d + 5. Let a(n) = -n**4 - 6*n - 2. Let j(k) = 5*a(k) + 2*v(k). What is the second derivative of j(h) wrt h?
-12*h**2
Suppose t = -t. Suppose t = -5*n + 3*x + x + 16, -2*x = 4*n - 18. Find the second derivative of o - o**n - o + 2*o wrt o.
-12*o**2
Let d(j) be the first derivative of 2*j + 0*j**2 + 4 + 4/3*j**3. What is the first derivative of d(w) wrt w?
8*w
Find the third derivative of 4*r**2 - 1057*r**5 + 1070*r**5 - 2*r**2 wrt r.
780*r**2
Suppose 0 = -0*v + v - 2. Differentiate v*q**4 - 9 - q**4 - 6*q**4 + 7*q**4 wrt q.
8*q**3
Let x(u) = 6*u**3 + 6*u**2 - 2*u - 2. Let q(g) = g**3 + g**2 + g + 1. Let a(b) = 2*q(b) + x(b). What is the third derivative of a(o) wrt o?
48
Let y(b) = -b**3 + 11*b**2 - 10*b + 5. Let s be y(10). What is the third derivative of h**s + h**4 + 7*h**2 - h**4 wrt h?
60*h**2
Let q(a) be the second derivative of a**7/280 - a**5/40 - a**3/3 - 3*a. Let s(w) be the second derivative of q(w). Find the second derivative of s(n) wrt n.
18*n
Let s be -5*(6/10 + -1). Find the third derivative of 4*x**5 - 5*x**2 + 0*x**s + 0*x**2 wrt x.
240*x**2
Let z(w) = 49*w**4 + 29*w - 11. Let y(x) = -25*x**4 - 15*x + 6. Let u(c) = -11*y(c) - 6*z(c). What is the second derivative of u(s) wrt s?
-228*s**2
Suppose 5*k - 6*k = 0. Let x(s) be the first derivative of k*s**4 + 0*s**3 + 0*s + s**2 - 2 + 1/5*s**5. What is the second derivative of x(r) wrt r?
12*r**2
Let x(a) be the first derivative of 0*a**2 - 3/5*a**5 + 0*a**4 - a + 1 + 0*a**3. Differentiate x(v) with respect to v.
-12*v**3
Let l(y) be the second derivative of -y**7/280 - y**4/8 - y**3/3 - 2*y. Let h(u) be the second derivative of l(u). Differentiate h(s) wrt s.
-9*s**2
What is the third derivative of 22*g**2 - 14*g**2 + 27*g**2 - 11*g**3 wrt g?
-66
Let t(p) = -2*p**2 - 3*p - 4. Let c(i) be the second derivative of i**4/12 + i**3/6 - 4*i. Let d(h) = -6*c(h) - 2*t(h). What is the derivative of d(j) wrt j?
-4*j
Let w be -1*4 - (-8 + (2 - 3)). Let o(h) be the second derivative of -3/2*h**2 + 0 + 0*h**3 + 0*h**4 - h + 1/4*h**w. Differentiate o(y) with respect to y.
15*y**2
Find the third derivative of -16*f**2 - 25*f**2 + 5*f**4 + 2*f**4 + f**4 wrt f.
192*f
Let c(r) be the third derivative of r**8/336 + r**4/8 - r**3/2 + 2*r**2. Let k(p) be the first derivative of c(p). What is the derivative of k(y) wrt y?
20*y**3
Let b(u) be the first derivative of 0*u**6 + 0*u + 0*u**2 + u**3 - 2/7*u**7 + 0*u**4 + 0*u**5 + 4. Find the third derivative of b(g) wrt g.
-240*g**3
Let d(s) = s**3 - 10*s**2 + s - 7. Let x be d(10). What is the second derivative of -o + 8*o - 28*o**x + 26*o**3 wrt o?
-12*o
Let q be (-4)/(0 + -2) - 0. What is the third derivative of -3*f**4 + 17*f**3 - 17*f**3 - 3*f**q wrt f?
-72*f
Let m(i) = 8*i + 9*i - 1 - i - 2*i. Let p(l) = -5*l. Let g(u) = 4*m(u) + 11*p(u). Find the first derivative of g(d) wrt d.
1
Let q(j) = -j**2 + 5*j - 1. Let m be q(4). Let a = -5 - -7. What is the third derivative of -3 + 2*b**5 - b**a + m wrt b?
120*b**2
Suppose 4*k + 0*y = -3*y + 26, -31 = -5*k - 3*y. What is the third derivative of -3*q**2 - 2*q**6 + q**2 + k*q**6 wrt q?
360*q**3
Suppose 0 = -0*f - 4*f. Let x(r) be the third derivative of 1/30*r**5 + f*r**4 + 0 + 1/6*r**3 + 2*r**2 + 0*r. Differentiate x(m) with respect to m.
4*m
Let t(u) = -6*u**4 - 8*u**3 - 8*u**2 + 8*u + 5. Let c(b) = 4*b**4 + 5*b**3 + 5*b**2 - 5*b - 3. Let h(a) = 8*c(a) + 5*t(a). Differentiate h(d) wrt d.
8*d**3
Suppose 6 = -4*i + 7*i. What is the first derivative of -13*y**2 - 2 + 0 + 7*y**i + 11*y**2 wrt y?
10*y
Let r(q) be the second derivative of 2*q**3/3 - 21*q**2/2 + 2*q. Differentiate r(o) with respect to o.
4
Let c(s) be the first derivative of -7*s**6/6 - 3*s**3 + 5. Find the third derivative of c(m) wrt m.
-420*m**2
Let x(l) = l**4 + l**2 - l - 1. Let c(o) = -1 - 7 + 6*o**2 - 3 + 4*o**4 - 6*o. Let v(g) = -c(g) + 6*x(g). Differentiate v(r) with respect to r.
8*r**3
Suppose -j - 10 = -3*j. Find the third derivative of -q**2 + 2*q - 2*q + 2*q**j wrt q.
120*q**2
What is the third derivative of -9*m**6 - 3*m**2 + 7*m**2 + 2*m**6 wrt m?
-840*m**3
What is the second derivative of 191 + 2*p - 191 + 20*p**2 wrt p?
40
Let g(w) be the third derivative of w**9/72 - 3*w**5/20 - 2*w**2. What is the third derivative of g(y) wrt y?
840*y**3
Suppose 0 = -2*z + 90 - 8. Find the first derivative of -3*a**4 + 2 + z*a**2 - 41*a**2 wrt a.
-12*a**3
Let r(m) be the second derivative of 23*m**6/30 - 13*m**2/2 - 20*m. What is the first derivative of r(v) wrt v?
92*v**3
Let g be 2/(-6)*(3 - 0). Let t be (2 - g*2) + 0. Differentiate -s**3 - 6 + t + 2*s | {
"pile_set_name": "DM Mathematics"
} |
*i**2 - i + 3. Suppose 1 = 3*q + 10, -5*o - 4*q - 47 = 0. Let s = 3 + o. Give f(s).
-9
Let h(m) = -m**2 + 2*m - 2. Let l be (16 - 13)*(-1 + 2). Determine h(l).
-5
Let n(x) be the second derivative of x**5/20 + 7*x**4/12 - 3*x**3/2 - 3*x**2 + 9*x. Give n(-8).
2
Let s(c) = 5*c + 1. Let l(u) = 4*u + 1. Let a(n) = 4*l(n) - 3*s(n). Let p = -21 - -18. Calculate a(p).
-2
Let r(b) be the first derivative of b**2 - 6*b + 2. Suppose 2*k = s + 4*s - 26, -2*s + 2*k = -14. Suppose m = s*m - 5*c - 25, -5*m + 3*c = -31. What is r(m)?
4
Let v be 4/6 - (-14)/42. Let g(c) be the third derivative of -c**5/10 + c**4/24 - c**3/6 + 7*c**2. Give g(v).
-6
Let n(y) = y**2 - 1. Let a be n(-1). Suppose a = -m + 2*h - 1 - 5, 0 = m + 5*h - 15. Let f(d) = d**3 + d**2 + d - 7. What is f(m)?
-7
Let v(k) be the second derivative of -4*k**3/3 - 3*k**2/2 + 14*k. Calculate v(-2).
13
Let k(g) = 10 - 10 - 2*g**2. Let j be (-1)/5 + (-117)/65. What is k(j)?
-8
Suppose 0 = -4*i + 4*u - u + 5, 0 = -5*i - 2*u - 11. Let x(g) = g**3 + 5*g**2 + 2*g - 4. Let a be x(-4). Let k(j) = 5 + 3*j**2 - 2 - a. Give k(i).
2
Let h(u) = 2*u + 3. Let y(v) = -3*v - 5. Let n(g) = -10*h(g) - 6*y(g). Suppose -36 + 10 = 13*b. Calculate n(b).
4
Let p(s) = -s**2 - 10*s - 8. Let q be p(-9). Let y(h) = -q + 1 - 2*h - 1 + 3*h. Suppose 3*k = u + 2, 0 = 2*k + u - 0*u - 3. Determine y(k).
0
Let h(p) = p**3 - 6*p**2 + 3*p + 7. Let v = -7 - -3. Let i(x) be the first derivative of -x**2/2 + x + 3. Let r be i(v). Calculate h(r).
-3
Let s(z) = 2*z + 338 - 325 + 10*z + z**2. Determine s(-10).
-7
Let b(t) = -t**2 - 8 + 17 - 9. Calculate b(2).
-4
Let s(h) = -7*h**2 + h - 1. Let w(b) = b**3 + 15*b**2 + b + 16. Let x be w(-15). What is s(x)?
-7
Let h(k) = 2*k**2 - 1. Let a(q) = q**3 - 4*q**2 - 5*q. Let w be a(5). Let m be (-1 - w) + -1 + 3. Suppose -v = -0*v - m. What is h(v)?
1
Let k(i) = -4*i**2 + 1. Suppose -3*p = 2*a - 3, 2*p - a - 1 = 1. Determine k(p).
-3
Let z(j) = j + 2*j + 1 - j - j. Give z(4).
5
Let w(m) = m**3 + 4*m**2 + 2*m + 2. Let b = 8 + -6. Suppose d + b = o - 2*o, 5*o + d + 14 = 0. Determine w(o).
5
Let v be (1/2 - -1)*(-14)/(-3). Let a(m) = m**2 - 6*m - 1. Give a(v).
6
Let u(b) = -2 + 1 - b + 2. Suppose 2*g = t + 4*t - 58, 0 = -5*t + 5*g + 70. Suppose 5*x = -v + 20, 0 = x - v - 0*v - t. What is u(x)?
-4
Let a(l) = l**2 - 4*l - 2*l**2 + 3*l + 0*l. Let o(u) = -u**3 + 4*u**2 + 5*u - 2. Let h(k) = -5*a(k) - o(k). Give h(-2).
-2
Let n(s) = s - 4. Let k = -73 + 77. Give n(k).
0
Let d(c) = -2*c + 8. Let l be d(6). Let n(p) = 4*p**2 - 4*p - 6. Let j(x) = -5*x**2 + 4*x + 6. Let r(t) = -5*j(t) - 6*n(t). Determine r(l).
6
Let n = -6 + 6. Suppose -j - j = n. Let z(m) = m**2 + m - 6. Give z(j).
-6
Let x(m) = m + 2. Let d(g) = g + 3. Let u be ((-4)/5)/(4/20). Let w = -10 - u. Let j be d(w). Give x(j).
-1
Let o(q) = 4 + q**3 - 5*q - 2*q**2 - q**2 - 6. Calculate o(4).
-6
Let o(k) = 3*k + 8. Let y be 4*2/4*-1. Let u(q) = -q - 1. Let p(m) = m - 2. Let l(d) = -p(d) - 5*u(d). Let z(a) = y*l(a) + 3*o(a). Calculate z(0).
10
Let b(t) = 3*t - 8*t + 1 + t. Calculate b(2).
-7
Let p(l) = l - 3. Let a(h) = -h + 1. Let g(b) = b. Let d(x) = -6*a(x) - 4*g(x). Let s(w) = -6*d(w) + 13*p(w). Calculate s(5).
2
Let j(b) be the first derivative of -3*b**2 + 5*b - 2*b**3 + 6 - 1/4*b**4. Give j(-5).
10
Let d(q) = q**3 + 5*q**2 - 5*q - 8. Suppose -36 = 5*y + 3*t, -5*t = 16 - 6. What is d(y)?
-14
Let m = 13 - 8. Suppose s + 2*p - 2 + 1 = 0, m*s - 5*p = 5. Let i(k) = -k**3 - k**2 + 2*k - 1. What is i(s)?
-1
Let i(r) = r - 2. Suppose -4*y + 2*a = -3*y - 13, 0 = -3*y - 2*a + 7. Suppose -31 = -4*u + y*d, 0*u + 5*d = 3*u - 27. Give i(u).
2
Let h(d) = d**2 + 8*d + 1. Suppose -5*x - 72 = -4*p - 20, x + 4*p - 4 = 0. Calculate h(x).
1
Let m(g) = -7 - g - 2 + 1. Suppose -4*n - 26 = n - 4*d, -13 = 3*n - 5*d. Determine m(n).
-2
Let m = -3 - -4. Let n be (0 - m)*(2 + -3). Let i(y) = -2*y - 8. Let x(t) = 1. Let p(f) = -3*i(f) - 24*x(f). Give p(n).
6
Let l(d) = 2*d**2 - 2*d + 1. Suppose -5*n + 40 = -20. Let k be ((-44)/n + 3)*-3. Calculate l(k).
5
Suppose -4*n - 13 = -5*w, 3*n - 4 + 15 = 5*w. Let a(b) = -8*b - 1. Determine a(w).
-9
Let l(r) be the third derivative of 0 - 1/24*r**4 - 1/6*r**3 + 0*r + 2*r**2. Determine l(5).
-6
Let j(u) = -8*u**2 + 2. Let f be j(1). Let d(q) = -2*q - 6. Give d(f).
6
Let j(c) = -3*c**2 + 2*c**2 - c - 1 + 1. Determine j(-1).
0
Suppose s = -m + 193, -3*s + 580 = -0*s + 4*m. Let b be 6/14 - s/(-42). Let y(n) = -8 + 2*n + 0 + 2. Give y(b).
4
Let o(y) = y**3 - 4*y**2. Let c be (-5 - 0)*52/(-65). Give o(c).
0
Suppose 0 + 8 = -4*v + 5*k, -2 = -2*v + k. Let u(y) = -y**2 + 2*y - 3. Calculate u(v).
-6
Let n(t) = -5*t**3 - 5*t**2 + 9*t + 1. Let z(x) = 6*x**3 + 5*x**2 - 10*x - 2. Let o(u) = 7*n(u) + 6*z(u). Give o(4).
-9
Let v(p) = 2*p - 2. Suppose -x - 3 = x + 3*o, 3*x = 4*o - 13. Give v(x).
-8
Let l(j) = j**2 - 6*j - 5. Suppose 13*a - 7*a - 36 = 0. Give l(a).
-5
Let t(f) = f + 2. Let z(q) = q**2 + 8*q + 9. Let d be z(-8). Suppose 2*c + 0 = 2*u + 2, -5*c + 4*u + d = 0. Calculate t(c).
7
Let m(v) be the first derivative of v**3/3 - v**2/2 + 7*v + 1. Let p = -8 - -8. Give m(p).
7
Let d(n) = -2*n + 2. Suppose -4*l = l - 4*p - 34, -2*l + 17 = -5*p. Let c = 28 + -16. Suppose 0 = -k - 5*o - 9 - l, -4*k - 2*o = -c. What is d(k)?
-8
Let m(x) = -4*x**3 + 7*x**2 - 4*x - 3. Let n(i) = -5*i**3 + 8*i**2 - 5*i - 4. Let f(t) = 6*m(t) - 5*n(t). Determine f(-2).
0
Let n(g) be the third derivative of g**6/120 - g**5/12 + g**4/24 + g**3/6 - 2*g**2. Calculate n(4).
-11
Let p(k) = k**2 + 7*k + 11. Let i(q) = 3*q**2 + 21*q + 32. Let b(o) = -4*i(o) + 11*p(o). Let d be b(-6). Let a(m) = m**2 + 1. Determine a(d).
2
Let l(s) = -s**3 + 2*s**2 + 4*s + 5. Suppose 0 = 5*w - 17 - 3. Determine l(w).
-11
Let x(z) = -z - 3. Let g be (14 - 16)*2/(-4). Let y be g/2*(-7 - -1). Determine x(y).
0
Suppose 0 = -5*n + 5*q + 20, -3*q + 0 + 3 = 0. Let a(l) = -l**2 + 7*l + 2. Calculate a(n).
12
Let m(y) = 3*y**3 + 9*y**3 - 9*y**2 + 2*y - 13*y**3 + 3*y**2 + 7. Let d be (-1)/(-2) - (-26)/(-4). Determine m(d).
-5
Suppose 5*q + 0*q - 277 = 4*w, 0 = 5*q - 25. Let f be (-3)/(-12) - w/(-12). Let y(d) = -d - 7. What is y(f)?
-2
Let q(b) be the third derivative of b**7/2520 + b**6/720 - b**5/20 - b**2. Let z(h) be the third derivative of q(h). Calculate z(-3).
-5
Let s(q) be the third derivative of q**5/60 - 7*q**4/24 + q**3/3 - 7*q**2. Determine s(7).
2
Let h(f) = f**3 + 5*f**2 - 7*f + 6. Let y be h(-6). Suppose 17 = k + 3*n, -2*k = 3*n + y - 31. Let v(t) = -t + 13*t - 11*t + 1. Calculate v(k).
3
Let w be 2*3*(-1)/(-3). Suppose 5 = 5*p + 5*v, w*p + 4*v - v - 4 = 0. Let j(q) be the third derivative of q**6/60 - q**5/30 - q**4/24 + q**2. Give j(p).
-3
Let o(n) = -n**3 - 8*n**2 - 8*n - 8. Let c(h) = 18*h**2 + 20. Let x(p) = -6*p**2 - 7. Let t(u) = -6*c(u) - 17*x(u). Let b be t(-1). What is o(b)?
-1
Let d(v) = 0*v - v**3 - 1 + 2*v + v**2 - 3*v. Let b(a) = -3*a**3 + 6*a**2 - 5*a - 2. Let h(n) = b(n) - 2*d(n). Let r = 6 - 3. What is h(r)?
0
Let z(l) be the first derivative of 2*l + 1/2*l**3 + 3 - 1/2*l**2. Let d(p) be the first derivative of z(p). Calculate d(-1).
-4
Let q be 3/12 + 45/12. Let t(h) = -2*h + 12*h**2 - 9*h**2 - q*h**2. Calculate t(-1).
1
Let c(y) = -y**2 + 3. Let x(p) = -p**3 - 5*p**2 - 3*p + 5. Let b be x(-4). Suppose 3*i + b - 7 = 0. Suppose -2*g - i*g = -12. What is c(g)?
-6
Let f(l) = 5*l + 5. Let t(b) = b**3 - 9*b**2 + 6*b + 12. Let k be t(8). Give f(k).
-15
Let b(s) = -s**3 - 8*s**2 - 6*s + 5. Let o be b(-7). Let v be o/(-6)*(1 - 4). Let k = v + -3. Let m(d) = -d**2 - 4*d + 3. Calculate m(k).
3
Let t(b) = -b**2 - 7. Suppose 0*y = 3*y. Determine t(y).
-7
Let l(o) = -2*o - 21. Let f(x) = x + 11. Let r(w) = -7*f(w) - 4*l(w). Let n = 5 - -5. Let v = 7 - n. Determine r(v).
4
Let f(x) = -3*x - 2. Suppose 10*k + 26 + 24 = 0. What is f(k)?
13
Let i(f) = 4*f**2 - 2*f + 1. Let t be i(1). Suppose -3*n + 5*b = -t, 0*b = -3*n + 2*b - 6. Let a(p) = p**2 + 3*p - 2. What is a(n)?
2
Suppose 5*z = -20, 0*b = 2*b - 4*z - 18. Let l(g) = -4*g - 5*g - b + 7*g + g**3 - 2*g**2 - 8*g**3. Determine l(-1).
6
Let w(k) = -11 + 8 + k - 3. Determine w(6).
0
Let x(b) = b**3 + 2*b**2 + 3*b + 3. Let z be -2 - -1 - (0 + -1). Suppose z = -2*c - 1 - 3. Determine x(c).
-3
Let m(r) be the second derivative of r**5 | {
"pile_set_name": "DM Mathematics"
} |
in 7, 72, 121, 148, 147, 112?
37
What is the next term in 622, 1213, 1790, 2347, 2878?
3377
What comes next: -24, -69, -140, -243, -384?
-569
What comes next: 5, -28, -121, -304, -607, -1060?
-1693
What is the next term in -278, -277, -276, -275, -274?
-273
What is the next term in 37, 25, -3, -53, -131, -243, -395, -593?
-843
What is next in -122, -133, -154, -191, -250?
-337
What is the next term in 5955, 11908, 17861, 23814, 29767, 35720?
41673
What is next in 742, 738, 734, 730, 726?
722
What comes next: -21, -48, -81, -126, -189, -276, -393, -546?
-741
What comes next: 250, 969, 2168, 3847, 6006?
8645
What is the next term in 2992, 2988, 2984, 2980, 2976?
2972
What comes next: -68, -65, -58, -47, -32, -13, 10?
37
What is next in 68, 81, 96, 113?
132
What comes next: 676, 1355, 2034, 2713, 3392, 4071?
4750
What is the next term in 1225, 1220, 1211, 1198, 1181, 1160, 1135?
1106
What is next in 5, 10, 11, 8, 1, -10, -25?
-44
What comes next: 432, 429, 426, 423, 420, 417?
414
What is next in 13, 70, 225, 526, 1021, 1758?
2785
What comes next: 153, 288, 411, 516, 597, 648?
663
What comes next: -51, -44, -23, 18, 85, 184?
321
What is the next term in -70, -71, -72, -73, -74, -75?
-76
What is the next term in 24, 34, 54, 90, 148, 234, 354, 514?
720
What is the next term in 56, 72, 100, 140, 192, 256, 332?
420
What is the next term in 71, 70, 69?
68
What is next in -367, -768, -1169?
-1570
What comes next: -159, -309, -451, -579, -687, -769?
-819
What comes next: 721, 1436, 2147, 2854, 3557, 4256, 4951?
5642
What comes next: -48, -54, -58, -54, -36, 2, 66?
162
What is the next term in 44, 137, 288, 497, 764, 1089?
1472
What is the next term in 66, 207, 442, 771?
1194
What is next in 369, 353, 313, 237, 113?
-71
What comes next: 306, 605, 904, 1203, 1502, 1801?
2100
What is next in 33, 69, 139, 243, 381?
553
What is next in 8756, 8757, 8758, 8759?
8760
What comes next: -5, -10, -17, -26, -37, -50?
-65
What comes next: 13, 42, 91, 160, 249?
358
What is next in 26, 37, 46, 53, 58, 61?
62
What is next in 5279, 10554, 15829, 21104?
26379
What comes next: -26, -57, -74, -71, -42, 19, 118, 261?
454
What is the next term in -954, -1901, -2838, -3765?
-4682
What is the next term in 33, 52, 81, 120, 169?
228
What comes next: -8, 2, 18, 40, 68, 102, 142?
188
What is the next term in 13, 2, -21, -62, -127, -222, -353, -526?
-747
What comes next: 215, 432, 649?
866
What is next in -44, -41, -50, -77, -128, -209, -326, -485?
-692
What is next in -13683, -27367, -41051, -54735, -68419, -82103?
-95787
What is next in -59, -73, -99, -137?
-187
What is next in 407, 410, 425, 458, 515, 602?
725
What is next in 47, 48, 51, 56, 63?
72
What comes next: -1041, -1017, -983, -933, -861, -761, -627?
-453
What is the next term in 708, 707, 706, 705?
704
What is next in 1600, 3197, 4794?
6391
What comes next: -8, -9, -10, -11, -12?
-13
What is next in 18, 21, 0, -57, -162, -327?
-564
What is next in 12, 27, 54, 93, 144?
207
What is the next term in -79, -152, -225, -298, -371?
-444
What comes next: -1422, -2842, -4262, -5682?
-7102
What is next in -2020, -2021, -2022?
-2023
What is the next term in 307, 317, 339, 379, 443, 537, 667, 839?
1059
What comes next: 52, 152, 296, 484, 716, 992, 1312?
1676
What comes next: 174, 147, 114, 75, 30, -21, -78?
-141
What is the next term in -19, -107, -253, -457?
-719
What comes next: -433, -439, -447, -457?
-469
What is the next term in 63, 48, 19, -24?
-81
What comes next: 23, 23, 13, -13, -61, -137, -247?
-397
What is next in 16, 22, 34, 52?
76
What is next in -51, -98, -151, -216, -299, -406?
-543
What is the next term in -58, -68, -78, -88, -98, -108?
-118
What is next in 53, 150, 245, 338, 429?
518
What is the next term in -410, -823, -1236, -1649, -2062?
-2475
What is the next term in -20402, -20401, -20402, -20405, -20410, -20417, -20426?
-20437
What is the next term in -621, -1244, -1867?
-2490
What is the next term in -44, -416, -1418, -3362, -6560, -11324, -17966?
-26798
What comes next: 383, 386, 401, 434, 491, 578?
701
What is next in 882, 1765, 2648, 3531?
4414
What is next in 37, 45, 75, 139, 249, 417?
655
What is the next term in 42, 180, 412, 738, 1158?
1672
What is the next term in 6664, 6666, 6668, 6670, 6672?
6674
What comes next: -44, -89, -168, -299, -500, -789, -1184?
-1703
What comes next: 120, 108, 86, 48, -12?
-100
What is the next term in -11, -37, -111, -257, -499, -861, -1367, -2041?
-2907
What is the next term in -17, -24, -31, -38, -45?
-52
What comes next: -14445, -28890, -43335, -57780, -72225?
-86670
What comes next: 2223, 2233, 2257, 2301, 2371, 2473, 2613?
2797
What comes next: -94, -90, -86, -82, -78, -74?
-70
What is next in 87, 136, 219, 336, 487, 672, 891?
1144
What comes next: 39, 49, 59?
69
What is the next term in 23, 46, 71, 98, 127, 158?
191
What is next in 0, -99, -264, -495, -792, -1155, -1584?
-2079
What comes next: 139, 175, 211?
247
What comes next: -220, -253, -308, -385, -484?
-605
What is next in -1008, -2043, -3080, -4119, -5160, -6203?
-7248
What comes next: -2776, -2779, -2784, -2791, -2800, -2811, -2824?
-2839
What comes next: -18, 0, 42, 120, 246, 432?
690
What is the next term in 34, 110, 234, 406, 626, 894?
1210
What comes next: -14, 2, 42, 118, 242, 426, 682?
1022
What is the next term in 145, 286, 427, 568, 709, 850?
991
What is the next term in -286, -569, -852, -1135?
-1418
What comes next: 29, 12, -39, -142, -315, -576, -943, -1434?
-2067
What is next in -70, -288, -648, -1150, -1794?
-2580
What is next in 5, 45, 115, 215, 345, 505?
695
What is next in -14, -55, -120, -215, -346, -519, -740, -1015?
-1350
What is the next term in 25, 115, 259, 451, 685, 955, 1255?
1579
What is the next term in -207, -216, -213, -192, -147?
-72
What is next in -447, -456, -471, -492, -519, -552, -591?
-636
What comes next: -94, -70, -46, -22, 2, 26?
50
What is next in 22421, 22419, 22417, 22415, 22413, 22411?
22409
What is next in 153, 175, 195, 213, 229, 243, 255?
265
What is next in -211, -420, -629, -838, -1047, -1256?
-1465
What is the next term in -113, -225, -337, -449?
-561
What comes next: -465, -914, -1367, -1824, -2285, -2750?
-3219
What comes next: -647, -652, -657, -662, -667, -672?
-677
What is next in -167, -164, -159, -152, -143, -132?
-119
What comes next: 89, 187, 281, 371?
457
What comes next: -90, -86, -78, -66, -50, -30?
-6
What is next in -16, -43, -96, -181, -304?
-471
What is the next term in -1087, -1091, -1093, -1093?
-1091
What is next in 17, 11, 1, -13?
-31
What is the next term in 33, 33, 31, 27, 21, 13?
3
What is the next term in -16, -36, -68, -112?
-168
What comes next: -24, -113, -274, -513, -836, -1249, -1758, -2369?
-3088
What is next in -22, -46, -70?
-94
What is next in 0, 1, -8, -33, -80, -155, -264, -413?
-608
What comes next: 631, 1259, 1887?
2515
What is next in -29, -30, -39, -62, -105?
-174
What is next in -1046, -2094, -3142, -4190?
-5238
What comes next: -36, -55, -86, -129, -184?
-251
What is the next term in -108, -99, -88, -75?
-60
What is next in 52, 138, 272, 448, 660?
902
What comes next: 817, 815, 813?
811
What is next in -866, -3462, -7788, -13844?
-21630
What is next in -7, -50, -109, -178, -251, -322, -385, -434?
-463
What is next in -1695, -1725, -1775, -1845, -1935, -2045, -2175?
-2325
What is next in 459, 920, 1381?
1842
What comes next: 89, 75, 51, 17, -27, -81?
-145
What is the next term in -64, -113, -162, -211?
-260
What is next in 7, -11, -45, -101, -185, -303, -461?
-665
What is next in 553, 552, 551?
550
What is next in 17, 33, 41, 35, 9, -43?
-127
What is next in 2265, 2250, 2221, 2172, 2097, 1990, 1845?
1656
What is next in 9, 19, 29, 39, 49?
59
What is next in 32, 139, 326, 599, 964, 1427, 1994?
2671
What comes next: -188, -379, -580, -797, -1036, -1303, -1604?
-1945
What is the next term in 18, 77, 174, 309, 482?
693
What is the next term in 1775, 7111, 16005, 28457?
44467
What is the next term in 1017, 2032, 3047, 4062, 5077?
6092
What is the next term in -34, -52, -82, -124, -178, -244, -322?
-412
What comes next: -11, -13, -7, 7, 29?
59
What is next in 6697, 13394, 20105, 26836, 33593, 40382, 47209, 54080?
61001
What is next in -27, -47, -67, -87, -107, -127?
-147
What is the next term in -4730, -9451, -14172, -18893, | {
"pile_set_name": "DM Mathematics"
} |
0 = -4*p + 5*a + 44. Solve -p*w - 90 = -24 for w.
-6
Let l = 16 - 3. Suppose -6*f = -l*f + 7. Suppose -3*j - f = 2*q - 0, 5 = 3*q - 2*j. Solve q = -3*g + 4*g for g.
1
Let f be 5/(68/16 + -4). Let a = f + -11. Let v be (88/24)/(3/a). Solve -v = x - 9 for x.
-2
Suppose 166 + 119 = 15*u. Solve u*w + 95 = -0*w for w.
-5
Suppose -u + 29 = -2*s, -5*u = -3*s - 3 - 44. Let x be (14 + s)/((-2)/(6/(-3))). Solve x*g = -2*g - g for g.
0
Let a(b) = b. Let j be a(-11). Let s(q) = -q**2 - 9*q + 16. Let w be s(j). Let c be -2 + (-15)/5*14/w. Solve -c*n - 15 = 5 for n.
-4
Suppose 42*u - 10 = 40*u. Suppose 9 = 3*t - 3*m, u*m + 10 = -5. Suppose -3*r + 87 = -l + 4*l, 2*r - 2*l - 42 = t. Solve 8*k - 3*k + r = 0 for k.
-5
Suppose 3 = -2*h - 1. Let f be (-40)/h*(25/(-10) + 3). Solve 4*r - 2 + f = 0 for r.
-2
Let y be 1/2 + 1603/14. Let o = y - 115. Solve 7*z = -o*z for z.
0
Let z = 8186 - 8132. Solve -5*m = z - 24 for m.
-6
Let p be (-7)/(28/20) + 7. Suppose p*h + 5*l - 11 = -5, -l = -2*h + 6. Solve 5*o = 4*o + h*o for o.
0
Suppose -2*w - 4*b = w, -2*w + 11 = -b. Let d(t) = t**3 - 47*t**2 + 2*t - 78. Let p be d(47). Suppose -96 = w*m - p*m. Solve m = g + g for g.
4
Let w(s) = 3*s + 3. Let d = -32 + 37. Let t = -6 + d. Let f be w(t). Solve f = 3*x - 5 - 4 for x.
3
Suppose 18*h + 20*h = -8*h + 11*h. Solve h*z = 6*z + 6 for z.
-1
Let s be 3282/42 - (-9)/(-63). Solve -113*h - s = -100*h for h.
-6
Let m be ((-1)/2)/((-4)/208). Let q = m + -24. Let z = q - -4. Solve -z = w - 1 for w.
-5
Let s(v) = 2*v**3 - 20*v**2 + 4*v + 21. Let g be s(10). Suppose -9 = 13*p - g. Solve -3*z = -p*z for z.
0
Let f = -251 - -261. Suppose -31 = -f*b - 1. Solve -6*n - b = -3*n for n.
-1
Let i be (-3)/3*-7 - (-126)/7. Solve -7*u + i = 4 for u.
3
Suppose -3*p + 5*x = 120 - 173, -3*x = -6. Solve -5*t = -p*t - 128 for t.
-8
Suppose -16*n - 50*n = -4158. Let q be 12/28 - (-477)/n. Let j be (-6)/9 + (-17)/(-3). Solve -j*t + q = -3*t for t.
4
Let y = -584 + 586. Suppose -4*a = -4*d - 132, -y*a + 40 = -d - 23. Solve -a*k - 1 = -29*k for k.
-1
Let q(t) = -t - 16. Let i be q(-9). Let f be (-1)/(-7)*-1 + 41/i. Let r be ((-20)/(-6))/((-4)/f + 0). Solve -12 - 8 = -r*d for d.
4
Suppose 112614*b = 112605*b + 72. Let u(l) = l**3 - 4*l**2 + 3*l + 4. Let f be u(3). Solve -b*w = -4 - f for w.
1
Let c = -40 - -52. Suppose 0 = 2*d - 2*l - c, 5*d + 5*l = -16 + 6. Let t be (-290)/(-60) - d/(-12). Solve 9 = t*o - 2*o for o.
3
Suppose -2*q = 3*q - 10. Suppose q*k = k + 8. Suppose d = -3*a - 6, -k = d + 4*a - 0. Solve d*m = 2*m - 6 for m.
3
Let v(w) = -3*w**3 - 686*w**2 + 916*w - 915. Let z be v(-230). Let i = 13 + -7. Solve 0 = -z*f + 7*f - i for f.
3
Let l = 13221 - 13214. Solve 23*f - l + 99 = 0 for f.
-4
Suppose f = 4*f + 18. Let o be -5*3/f*2. Suppose 2*a - 2 = -2*z, 11*a = 6*a + 5*z + 35. Solve -t - a*t = -o for t.
1
Suppose 207*x = 206*x - 4*d + 27, x - 45 = -d. Solve -24*g - 45 = x for g.
-4
Let w(v) = -v**3 + 7*v**2 - 6*v + 1. Let f be w(4). Let x be (23/(-5))/(7 - 68/10). Let q = x + f. Solve -a = q*a for a.
0
Let k be ((-16)/(-2) + -10)/6*-303. Solve 99 = -q + k for q.
2
Let b = -48 + -223. Let s = b + 279. Solve -q - s + 4 = 0 for q.
-4
Let n(k) = k**2 + 9*k + 8. Let s be n(-6). Let d(t) = -2*t - 16. Let j be d(s). Let a(v) = v**3 + 8*v**2 - 12*v - 22. Let m be a(-9). Solve j*o - m = 3 for o.
2
Let i(l) = l**3 + 20*l**2 + 22*l + 61. Let w be i(-19). Solve 0 = -w*d + 8 - 0 for d.
2
Let z(l) = -2*l**2 - 6*l - 5. Let y = -41 - -38. Let g be z(y). Let r(n) = -n**2 - 7*n - 5. Let v be r(g). Solve v = -3*s - 2*s for s.
-1
Let a be 1/(-5)*(-260)/(-78)*-9. Let f be a*((-5)/10 - -1). Solve f*p + 4 = -5 for p.
-3
Let o(g) = g**3 - 3*g**2 + g - 1. Let u be (1 - 2) + (3 - -1). Let y be o(u). Suppose -15*t - 54 = -42*t. Solve -t*r - 10 + y = 0 for r.
-4
Let q = -129 + 133. Let t be 5*(14/(-5) - -4). Solve -t = -2*o + q for o.
5
Let n be (101/(-8))/((-19)/152). Let o = n + -67. Solve 0 = 8*k + 6 + o for k.
-5
Let h(j) = 5*j**3 - j**2 - 6. Let v be h(3). Suppose 2*o = -3*s + 72, 4*o - o - v = -5*s. Let m be 4*(114/s + -3). Solve -8*r = -m*r for r.
0
Let r(m) = m**2 - 5*m + 7. Suppose 4*k + 12 = 6*k. Let v be r(k). Let y be -2*(-1)/v + 192/104. Solve -6 = -g - y for g.
4
Let p be 5 + 212/6*-3. Let g = 103 + p. Solve 5*h - 18 - g = 0 for h.
4
Suppose -6*b - 15 + 27 = 0. Suppose -b*s + 2*n = -2*n - 20, -5*s = -4*n - 38. Solve 0*f - 2*f = s for f.
-3
Let k(s) = 28*s - 810. Let p be k(29). Solve p*h - 35 + 21 = 0 for h.
7
Let x(y) = 4*y - 58. Let v be x(-7). Let z = -81 - v. Solve -6*h + 3 = -z*h for h.
3
Suppose r = -105 + 31. Let t = 74 + r. Suppose -7*s + 0*s + 35 = t. Solve s*y + 0*y = 20 for y.
4
Let g = 6 + -2. Suppose 3*k - b - 11 = 0, -3*b - 21 = -21*k + 16*k. Let o = -2 + 2. Solve m - g + k = o for m.
1
Suppose -66 = -s - 31. Let a be (-165)/s + 5 - 124/(-7). Let j = a - 12. Solve -2*z + j*z = 0 for z.
0
Let c(f) = 8*f**2 - 83*f - 66. Let w be c(13). Solve -47*k - 28 = w for k.
-5
Suppose -24*j + 81*j - 399 = 0. Let q be 6/(-10) + 152/20. Suppose 41 = q*m + 6. Solve -m*i = -j*i - 6 for i.
-3
Suppose -6*m + 12 = -6. Suppose s - 26 = 2*l, -30 = -0*s - s + m*l. Solve s = 7*p - 10 for p.
4
Let a = -469 + 443. Let v be -43 + 46 + (1 - a). Solve -2*t = 24 - v for t.
3
Let q(v) = -4*v**2 + 6*v + 455. Let j be q(0). Solve -21*w = -371 + j for w.
-4
Suppose 5*i = 4*v + 3*i - 36, -v = -3*i - 29. Let r be ((-3)/(-2))/((-2)/(-4)). Suppose 0 = -r*o - 0*o + 12. Solve o*a - v*a + 2 = 0 for a.
2
Let r(d) = -13*d + 345. Let v be r(26). Solve 10*j = -27*j - v*j for j.
0
Suppose -l + h + 6 = 1, -2*l + h + 10 = 0. Suppose 0 = -l*p + 55. Solve 6 = p*z - 9*z for z.
3
Let a = -33 + 47. Let l = -29 + a. Let d be (l - -18) + (0 + -1 - 2). Solve -5*o = -d - 10 for o.
2
Suppose -8*k + 1226 + 78 = 0. Let c = k + -160. Solve 4*f = c*f - 5 for f.
-5
Suppose 4*s = 14*s - 140. Let n(l) = l**3 - 14*l**2 + 5. Let i be n(s). Suppose i*j = 3*j + 10. Solve j*r = -0*r for r.
0
Let f be (2 - -9) + 84/(-14). Suppose k = n + 2, -17*k + 10 = -18*k - f*n. Solve -q = -5 - k for q.
5
Suppose 0 = 40*y + 63 - 423. Solve 0 + 27 = y*v for v.
3
Let n(j) = -47*j - 2*j**2 - 8*j**2 + 8 + 7*j**2. Let g be n(-15). Solve -f = g - 35 for f.
-3
Let m = 148 + -139. Suppose 2*j = m*j - 105. Solve 4*r + j = 7*r for r.
5
Suppose 48*t = 52*t - 68. Suppose -2*h + 1 = -2*j - t, 3 = j. Solve -w - h = -5*w for w.
3
Suppose -72*n + 11214 = 17*n. Solve 11*u + 71 = n for u.
5
Suppose 3*t + 9*p - 12*p = -24, 0 = 2*t - 4*p + 18. Let u be (t - -7)/(-3 + 0). Solve u = 13*r - 11*r for r.
0
Suppose -2*c = 3*c - r - 721, -283 = -2*c - 5*r. Solve 198 = 9*d + c for d.
6
Let h(s) = 2*s**2 - 9*s - 14. Let b be h(-12). Let k = -380 + b. Solve 4*v + 2 = k*v for v.
-1
Suppose 15*d + 456 = 756. Solve -29*y = -19*y + d for y.
-2
Let k(u) = 17*u**2 - 175*u + 35. Let o be k(11). Solve -29 + o = 23*m for m.
6
Let v = -129 - -113. Let j be 3/(-2)*44/(-3). Let r = v + j. Solve -r*y + 3*y - 9 = 0 for y.
-3
Let t(g) = 151*g - 7820. Let p be t(52). Solve 288 = p*h + 96 for h.
6
Suppose 26*d + 88 = i + 25*d, 4*i - 3*d - 355 = 0. Solve -4*l + 99 = i for l.
2
Suppose -54 = -13*a - 93. Let r be (1/a)/((-15)/45). Solve 3*d - 8 = r for d.
3
Let z(g) = 3*g**3 + 15*g**2 - 45*g + 6. Let l be z(2). Let i(q) = q**3 - 2*q**2 - q + 2. Let m be i(-2). Let s be -15*(3 - -1)/m. Solve 10 + l = s*f for f.
2
Let l(c) = 4*c**2 + c - 15. Let z be l(6). Let o be (-108)/z*(-6 + 1). Solve 9*g = 5*g + o for g.
1
Let v(n) = 2*n**3 + 3*n**2 + n + 2. Let z be v(3). Let x = -79 + z. Suppose 0 = -x*k + 9*k - 10. Solve 4*j + 1 - k = 0 for j.
1
Let t(b) be the first derivative of -3*b**2/2 - 71*b - 261. Let i be (-297)/12 + 1/(-4). Let z be t(i). Solve 5*s - z = 1 for s.
1
Suppose -44*x + 36*x = 23*x - 868. Solve -x*l + 6*l = -88 for l.
4
Suppose 0 = -4*h + h + 6. Suppose 5*a - 18 = -2*f, 3*f - 8 = -a + 6. Let p be (14/(-7) - -4)*30/f. Solve -w = h*w + p for w.
-5
Let v(w) = 3*w**2 - 2. Let a be v(-2). Suppose 17*k - 11*k - 12 = 0. Suppose -2 = k*t + g, -3*g = -2*t - 8*g - 10. Solve t = 3*y - y + a for y.
-5
Let a(o) = 4*o**3 + 137*o**2 + 30*o - 128. Let f be a(-34). Solve -25*u - 83 = -f for u.
-3
Suppose 22*w - 7*w = 60. Suppose 3*l - 3 = -w*y + 19, 0 = -3*y + 3. Solve l*o - 4 = 8*o for o.
-2
Let f be ((-3)/(-7) + 3588/(-140))/(156/ | {
"pile_set_name": "DM Mathematics"
} |
n, 0.4, -2?
0.4
Let o be (-320)/(-128)*84/(-585). Which is the closest to 1? (a) 0.1 (b) o (c) -5
a
Let f(d) = -d**2 - 17*d - 69. Let x be f(-7). Let b = 0 + 0.1. Let c = 7 - 8. What is the nearest to b in 5, x, c?
x
Let m(q) = -2*q + 7. Let i be m(3). Let x = 0.1173 - 2.1173. Which is the nearest to i? (a) 1/5 (b) x (c) 3/2
c
Let x = 0 + 0.5. Let m = -107067 - -107065. What is the closest to x in 4, 1/10, m?
1/10
Let d(n) = -n + 8. Let v be d(13). Let p be (-12)/162 + (-152)/(-108). Which is the nearest to -0.1? (a) p (b) v (c) 6
a
Let y = -54 + 53.971. Let n = y - 3.971. Let k = 15 + -20. What is the closest to n in -0.2, -1, k?
k
Let z = -16.97965 - 0.02035. What is the closest to -3 in -1/8, z, 4?
-1/8
Let o = -206/5 - -613/15. What is the closest to -2 in -0.4, o, -3, 5?
-3
Let v = -74 - -140. Let u = v + -64. Let z = 37/90 - 1/90. What is the nearest to -0.1 in 0.5, z, u?
z
Let o = 36.3 + -38.3. What is the nearest to -3 in 700, o, 0?
o
Let s be ((-2)/(-4))/(0 + 1). Let k = 37/104 + 1/52. Let b be (((-12)/(-45))/(-4))/((-6)/(-20)). What is the closest to 1 in s, k, b?
s
Let d be 56/560*15/(-8). What is the closest to d in 5, 0.4, -1/3, -3?
-1/3
Let q = -17989 - -17989.1. Which is the nearest to 3/2? (a) q (b) 5/4 (c) -5
b
Let m be (-1810)/126 + 3 + (-12)/(-3). Let u = 50/7 + m. What is the nearest to 1/4 in u, -1/2, 0?
0
Let c = -351.7 - -52.7. Let v = c - -299.03. Let q be 18/(-20) + (1 - 0). What is the closest to 0.1 in q, v, -1/8?
q
Let t = -5259 + 5474. Which is the nearest to -1/3? (a) 2/19 (b) 0.2 (c) t (d) 2/25
d
Let n = 1879/9 + -209. Let y be 20/(-6) + (-16286)/(-2874). What is the closest to n in -0.4, y, 0.3?
-0.4
Let g = 18.989 - 17.989. What is the closest to -3 in g, -5, -2, -1/23?
-2
Let r be (-92)/(-89) - (524 - 523). Which is the nearest to r? (a) -17 (b) -4 (c) 2
c
Let f = -0.3 + -0.3. Let m = -1.4 + f. Let w = -42197 - -42196. What is the closest to m in w, 0, 2?
w
Let i = -0.1 - 0.3. Let a be (-1 + -1)/(25/675*189). What is the closest to -0.03 in a, 1, i?
a
Let x be (-16)/(-24)*(-18)/(-20). Which is the closest to -13? (a) x (b) 2/5 (c) -3 (d) -1/3
c
Suppose y - 3*l = -377, l + 0*l = 4*y + 1497. Let n = 3362/9 + y. Let o be ((-12)/(-14))/(128/112). Which is the nearest to o? (a) -0.5 (b) -3 (c) n
c
Suppose -355 = 4*l + 429. Let m = 977/5 + l. Let f = -7.159 + 7.259. Which is the closest to f? (a) -3 (b) 1 (c) m
c
Let t = 5378 + -21513/4. Which is the closest to t? (a) -1/44 (b) 1 (c) -0.085 (d) -2/11
d
Suppose 2*n - 2*x - 2*x = 24, -n - x = 9. Which is the nearest to n? (a) 0.52 (b) -31 (c) 0
c
Let p = -12/7355 + -29384/22065. Which is the closest to 5? (a) 0.04 (b) 3/5 (c) p
b
Let j be 15/20 - 6/16. Let p = -81.08 + 80.98. Which is the nearest to 0? (a) -22 (b) p (c) j
b
Let s = -34012 - -34044. What is the closest to -0.1 in 0.04, -0.5, s?
0.04
Let z = 14682.9 + -14683. Which is the nearest to 0? (a) -9 (b) 1.4 (c) 1/2 (d) z
d
Let b(y) = 7*y**3 - y**2 + y + 1. Let d be b(-1). Let a = d - -38/5. Let u = -42513 - -42510. What is the closest to a in 0, -1/4, u?
-1/4
Let k = -0.0653 - -0.1653. What is the nearest to -7 in 2/5, 11, k?
k
Let x = 2/11197 + -33599/44788. Which is the nearest to x? (a) 0.2 (b) 0.06 (c) -0.4 (d) -1
d
Let x = 15009 - 15006. Which is the closest to 1/4? (a) 0 (b) x (c) -4 (d) -131
a
Let v = 3274 - 3270. Which is the nearest to 0.1? (a) 0.3 (b) v (c) -1/2
a
Let y = -47 + 12. Let z = 35.098 + y. Let r = 0.002 + z. Which is the nearest to 0.1? (a) 0.5 (b) r (c) 0
b
Let l = 396.4 - 392.4. What is the closest to -1/2 in -7, l, 0.3?
0.3
Let n = 11 + -11. Let f = 80 - 72. Let s be (-6)/f - (-14)/56. Which is the closest to n? (a) -2 (b) s (c) 0.1
c
Let b be 144/63 + -3 + 6/(-42)*-4. Let o = 6 - 6.4. What is the nearest to 2/15 in o, 0.3, -4, b?
0.3
Suppose 31*z - 140 = 59*z. Which is the nearest to -0.071? (a) z (b) -0.9 (c) -4
b
Let v = 13.6 - 19.9. Let h = v + 6.28. Which is the closest to 1? (a) 0.4 (b) -2 (c) h
a
Suppose 0 = -5*h - 5*k + 45, 556*k + 5 = h + 559*k. Which is the nearest to 3? (a) 1/8 (b) -0.3 (c) h (d) -1/2
a
Let l = -3231/9086 - 1/649. Let n = -2210 + 2211. What is the nearest to l in n, -2/9, -0.1, -4/7?
-2/9
Let j be 1920/1600 - -2*11/(-10). Which is the closest to -50? (a) j (b) 15 (c) -1/8
a
Let w = -28810 + 28808. What is the closest to -0.08 in w, -9, 1/53, -5?
1/53
Let s(w) = 7*w**2 - 306*w - 89. Let y be s(44). Let x(o) = 2*o**2 - 3*o - 3. Let k be x(-2). Which is the nearest to y? (a) -0.2 (b) 3 (c) k
a
Suppose z = -5*d + 46, 0 = -6*z + 10*z + 2*d - 148. Let q be ((-3)/z)/((-8)/216). Which is the nearest to -1/6? (a) 3 (b) 4 (c) q
c
Let q be 2/8 - (-3)/2. Let l = -3039 + 3039.5. What is the nearest to q in 4, 0.2, l?
l
Suppose -2*y = -4, 67 = 3*l + 3*y - 11. Suppose -l = 6*o - 8*o. Let g be ((-5)/(-3) - -1)*(-1)/o. Which is the closest to 2? (a) g (b) 0.4 (c) -1/7
b
Let o = 0 - -0.4. Let b = 16740 + -16735. What is the nearest to o in 1, -5, b, -4?
1
Let o = 0.2 + -14.2. Let z = 9 + o. Let t = 2445.2 + -2446. What is the closest to -2/3 in z, -4, t?
t
Suppose -66*h = -7*h + 177. Which is the nearest to -2? (a) -4 (b) h (c) 2 (d) 4
b
Let i = 430 - 736. Let c = 238 + i. What is the closest to -1 in c, 0.5, 0?
0
Let y = 5 - 4.9. Let w = -2/23 + -17/69. Let b = -6559 + 6558. What is the nearest to y in b, w, 0.3?
0.3
Let y = -73 + 221. Let m = y + -152. Which is the nearest to 1? (a) -0.5 (b) m (c) -6
a
Let x(d) = -7*d**3 - 55*d**2 + 168*d + 1289. Let k be x(-8). Let f be 5/(-12) + 2/8. Which is the closest to k? (a) -1 (b) f (c) 1
c
Let i = -28/207 + -2/23. Let m = 0.03718 - -0.16282. Which is the nearest to i? (a) 0.3 (b) m (c) -3
b
Let w = 219.59 + -221. Let f = 81.41 + w. Let o = f + -81. Which is the closest to -0.1? (a) -3/7 (b) 2/5 (c) o
a
Suppose -9 + 21 = 3*h. Let d = 138 + -138.3. Let x(z) = -z**3 + 4*z**2 - z + 5. Let k be x(4). Which is the closest to k? (a) h (b) -9 (c) d
c
Let m = -4457 - -4462. Which is the nearest to 2/9? (a) -4 (b) -5 (c) -1/7 (d) m
c
Let i = -0.08 + 0.18. Let n be (-3 - (14 - (-9 - -20)))/3. Which is the closest to i? (a) n (b) 0.03 (c) 0
b
Let j = -256 + 259. Let o = 17.97 + -18. Let g = -0.03 - o. Which is the closest to j? (a) 3/4 (b) -3 (c) g
a
Suppose 0 = 4*r + 2*m - 184, r = -0*r + 2*m + 56. Suppose 3*s - r = -45. Let h be (-150)/(-840) - (s/4)/(-1). Which is the nearest to 0? (a) 0.4 (b) -2 (c) h
a
Let z = 277.3 - 290. Let n = -13 - z. Let m(q) = -3*q**2 - 19*q - 9. Let f be m(-6). Which is the closest to 0? (a) 0.4 (b) f (c) n
c
Let t = 26.49 + -23.49. Let b = 49 - 48.71. Let d = 1.29 - b. What is the closest to d in t, -5, -2?
t
Let v = -0.1 + 0.1. Let s = -24/7 + 79/21. Let d = 9074/21 - 432. Which is the closest to s? (a) d (b) -1 (c) v
a
Suppose 474 = -13*w - 254. Let l be (-21)/(-24)*(-16)/w. Which is the nearest to l? (a) -3/10 (b) -1 (c) -5
a
Let w = 0.3 + -4.3. Let g = 4697 - 4697. What is the nearest to g in -0.1, w, -2/5?
-0.1
Let x(y) = y**2 + 39*y + 86. Let m be x(-37). Let o be ((-1)/(-7))/(m/(-36)). Which is the nearest to o? (a) -0.05 (b) -2 (c) 4/5
a
Let o be 4/(-14) + (-60)/(-63). Let g(y) = -236*y - 713. Let h be g(-3). What is the nearest to 0.2 in o, 0.01, h?
0.01
Let t = 0.8 + 0.2. Suppose 237*l - 240*l = -12. Suppose 8*o + 10 = -5*p + 3*o, 14 = -l*p - 2*o. What is the nearest to t in p, 2/5, -2?
2/5
Let m = 2195/8828 + 3/2207. Which is the nearest to -1/4? (a) -4 (b) m (c) -0.5 (d) 17
c
Let y(w) be the first derivative of -w**3/3 - 4*w**2 + 49*w - 62. Let u be y(-12). What is the closest to 1/4 in 0.5, 0.06, u?
0.06
Let d = 0.052 - 0.01. Let t = 0.052 - d. Let n = t + -2.01. Which is the closest to n? (a) -1.1 (b) -1 (c) 1
a
Let f = -0.18 + 25.68. Let t = 25 - f. Let p = -3 - -3.5. What is the nearest to -3 in t, 5, p?
t
Let u = 2111.8 + -2112. Which is the closest to u? (a) 2 (b) 2/3 (c) 2/11 (d) 0.2
c
Let g = -17946 + 17957. What is the closest to -1 in 1, g, -8?
1
Let u = -1896 - -1896. What is the nearest to -0.07 in u, -2, 1/4, -0.5?
u
Let w be 184/(-528) - 6/(-33). Which is the nearest to 2/35? (a) -0.01 (b) w (c) -0.3
a
Let p = 7834/15 + -86159/165. Suppose 5 | {
"pile_set_name": "DM Mathematics"
} |
se
Is 4109642623 composite?
False
Is 36197496563 composite?
True
Is 19423055987 a composite number?
True
Is 73049123 a composite number?
True
Is 20032798651 a prime number?
True
Is 4092552313 prime?
True
Is 1994803339 prime?
True
Is 29502192823 a prime number?
False
Is 666312701 a composite number?
False
Is 469845407 a prime number?
False
Is 4942759607 prime?
True
Is 123257791571 a composite number?
False
Is 3492281677 a composite number?
False
Is 5996051143 composite?
True
Is 6232163047 a composite number?
True
Is 25141121 a prime number?
False
Is 6755515717 a prime number?
False
Is 7687555454 prime?
False
Is 3827761963 composite?
False
Is 1072126381 a prime number?
False
Is 18596310818 a prime number?
False
Is 32837613859 prime?
True
Is 8692085711 a prime number?
True
Is 7249480729 prime?
True
Is 651252703 composite?
False
Is 129934283 a composite number?
True
Is 42743503469 prime?
False
Is 205975351 composite?
False
Is 14982425383 prime?
False
Is 11249441279 prime?
False
Is 214304963 a composite number?
False
Is 349291454 a composite number?
True
Is 11318696423 composite?
True
Is 20585104318 a prime number?
False
Is 9635740027 a prime number?
False
Is 285220319 a composite number?
False
Is 72463169609 prime?
True
Is 7330759427 composite?
False
Is 2245602659 a composite number?
False
Is 92835743837 composite?
False
Is 15574738766 a prime number?
False
Is 7911414401 prime?
False
Is 10354517983 a prime number?
True
Is 806641957 a prime number?
False
Is 749287507 a prime number?
False
Is 17980424401 composite?
False
Is 2365517779 a prime number?
False
Is 2672329771 a composite number?
False
Is 7471496009 composite?
True
Is 7851535267 a prime number?
False
Is 52643364583 composite?
True
Is 86796255419 a composite number?
False
Is 15010123981 composite?
False
Is 3680456107 prime?
False
Is 244019407 a prime number?
True
Is 557375783 a composite number?
False
Is 22743893233 composite?
True
Is 1707675731 a prime number?
True
Is 2868284219 prime?
True
Is 13641564557 a composite number?
False
Is 9210510745 a composite number?
True
Is 5853256303 a prime number?
True
Is 33091976477 composite?
True
Is 16137966223 a prime number?
True
Is 17108733935 composite?
True
Is 666937589 a prime number?
False
Is 661182437 composite?
False
Is 158874047 a prime number?
False
Is 9299735483 composite?
True
Is 2072705111 composite?
False
Is 1202688289 a prime number?
False
Is 418985449 a composite number?
False
Is 9516230323 a composite number?
True
Is 26064850843 prime?
True
Is 4638279319 a composite number?
False
Is 6602018191 prime?
True
Is 43347504359 a prime number?
False
Is 2790330383 a prime number?
True
Is 2463875679 composite?
True
Is 1747398209 composite?
False
Is 1525936927 a prime number?
True
Is 5708829277 a composite number?
False
Is 2862126197 composite?
True
Is 42634103047 prime?
False
Is 3490308103 composite?
False
Is 20340829819 a composite number?
False
Is 13975605587 a prime number?
False
Is 89094317 a composite number?
True
Is 3768779227 a composite number?
False
Is 257097502687 a prime number?
False
Is 5943630467 a prime number?
True
Is 751855373 a composite number?
False
Is 8208298621 a composite number?
False
Is 7219132923 a prime number?
False
Is 236588783 prime?
True
Is 3512330537 a prime number?
True
Is 1288101697 a prime number?
False
Is 784186855 a prime number?
False
Is 4377559643 a composite number?
True
Is 1267954691 a composite number?
True
Is 19324762561 prime?
False
Is 2223981413 composite?
False
Is 818475509 a composite number?
False
Is 30487134301 a prime number?
False
Is 2888397277 prime?
False
Is 26196492671 a composite number?
True
Is 45142700938 a composite number?
True
Is 1905573433 composite?
True
Is 2031375779 a composite number?
False
Is 783435649 a prime number?
True
Is 5726887721 a prime number?
True
Is 137607653 prime?
True
Is 2081002367 composite?
False
Is 833860853 a composite number?
True
Is 109061119093 prime?
True
Is 7564002113 a prime number?
False
Is 7918132297 a prime number?
True
Is 131844477121 composite?
True
Is 380048407 a prime number?
True
Is 511536283 a prime number?
False
Is 2026528973 composite?
True
Is 36081348661 a composite number?
True
Is 38123842787 composite?
False
Is 4923007231 prime?
True
Is 2627988509 prime?
True
Is 3449436281 composite?
False
Is 936528319 prime?
False
Is 1688519633 a prime number?
False
Is 40111977751 a prime number?
False
Is 11257390994 composite?
True
Is 16743778099 prime?
False
Is 2916411989 prime?
True
Is 116403060251 a prime number?
True
Is 224683671167 composite?
True
Is 19957985351 prime?
False
Is 3151406105 a composite number?
True
Is 6985510853 prime?
False
Is 2232177671 a composite number?
False
Is 1894542799 prime?
True
Is 1154294123 prime?
False
Is 456854057 prime?
False
Is 643181489 a prime number?
False
Is 158476951051 a prime number?
True
Is 40105360199 composite?
True
Is 3629148683 composite?
False
Is 1690801627 composite?
False
Is 250021699 a composite number?
False
Is 77708224141 a prime number?
True
Is 20174491 a prime number?
True
Is 3442491215 prime?
False
Is 3041521723 a composite number?
False
Is 82481561093 a composite number?
False
Is 17156992018 prime?
False
Is 2835201883 prime?
True
Is 31016445749 a composite number?
True
Is 3216091121 prime?
False
Is 11099374919 a composite number?
True
Is 139833967907 a prime number?
True
Is 186026678611 composite?
True
Is 1915889867 a composite number?
True
Is 51177474937 a prime number?
True
Is 6867052457 a prime number?
False
Is 211424568937 a composite number?
False
Is 5521618439 prime?
True
Is 45910529971 a composite number?
True
Is 5428819367 a composite number?
False
Is 207678409 a prime number?
False
Is 6063830099 prime?
True
Is 4146299413 a prime number?
True
Is 7413983627 a prime number?
True
Is 1881621887 a prime number?
True
Is 19989590422 a composite number?
True
Is 21941469811 composite?
False
Is 909307327 a prime number?
False
Is 220958567 a prime number?
False
Is 6819790085 a composite number?
True
Is 1835262943 prime?
False
Is 886613773 composite?
False
Is 109893229 prime?
True
Is 19062324431 a prime number?
True
Is 2071033187 composite?
False
Is 4172438317 prime?
True
Is 4926305581 a prime number?
False
Is 756488899 a composite number?
True
Is 5125662917 a prime number?
True
Is 23558298869 a prime number?
False
Is 18727623881 prime?
True
Is 6901828645 a prime number?
False
Is 427126423 a composite number?
True
Is 2094054337 a composite number?
False
Is 2365380287 composite?
True
Is 9606964993 prime?
False
Is 221762797 prime?
False
Is 2392794577 a composite number?
True
Is 64770459983 a composite number?
True
Is 33968984099 composite?
False
Is 19358819261 composite?
False
Is 95721943918 a prime number?
False
Is 15727352507 composite?
True
Is 14662557653 a composite number?
True
Is 895065349 a prime number?
False
Is 13893023789 a prime number?
False
Is 92032894157 prime?
True
Is 4718274063 a prime number?
False
Is 40863702379 a prime number?
False
Is 12453761051 a prime number?
False
Is 208785331007 composite?
True
Is 54415096963 prime?
False
Is 404206961 composite?
False
Is 1439270381 composite?
True
Is 203451263 composite?
False
Is 267438863 a prime number?
True
Is 112619189071 a prime number?
True
Is 90553258223 a composite number?
True
Is 7902611635 a composite number?
True
Is 219164512207 a prime number?
False
Is 135080249 a prime number?
False
Is 118368225473 a composite number?
True
Is 443631283 a composite number?
False
Is 17738570923 a composite number?
False
Is 9055612277 prime?
False
Is 299825467 a prime number?
False
Is 6873488591 composite?
True
Is 20154674509 composite?
True
Is 34319906407 composite?
False
Is 3783146771 prime?
False
Is 2070101749 a prime number?
True
Is 1327920079 a prime number?
True
Is 2492427893 a prime number?
True
Is 6236859543 composite?
True
Is 223409665777 composite?
False
Is 454677047 composite?
True
Is 9482936477 prime?
False
Is 32343636187 a composite number?
True
Is 2026089281 a prime number?
True
Is 979729313 a prime number?
True
Is 62212547 prime?
True
Is 1436964835 a composite number?
True
Is 1730449697 prime?
True
Is 6212342581 a composite number?
True
Is 6570550681 composite?
False
Is 18312230869 composite?
False
Is 1867753541 a prime number?
False
I | {
"pile_set_name": "DM Mathematics"
} |
for f.
-5
Solve -8*o + p + 170 = 133, -3*p + 24 = 3*o for o.
5
Solve 1157*d + 2 = 1158*d, -7 = -3*b + d for b.
3
Solve -14 = 5*h - s, -30 = 5*h - 21*s + 16*s for h.
-2
Solve -5*u + 37 = -3*j, -64*u + 65*u - 3*j - 17 = 0 for u.
5
Solve -3*h + 7*k + 16 = 11*k, 2 = 3*h + 2*k for h.
-4
Solve 29*h + 551*g - 553*g + 398 = 0, h + 30 = -4*g for h.
-14
Solve 0*s - 2*s + 3*q = -11, q - 3 = 4*s for s.
-2
Solve 0 - 4 = -2*c, -2*c = -4*g - 24 for g.
-5
Solve -7*o - 28 = 0, 1039 = 4*y + 2*o + 1079 for y.
-8
Solve 3*g + q = 0, -2*q - 638 + 656 = -3*g for g.
-2
Solve 5 = 1019*w - 1012*w - u, w = -2*u + 5 for w.
1
Solve -2*a = 4*u - 24, -36*a + 32*a + 3*u - 40 = 0 for a.
-4
Solve 0 = 4*y + 3*x + 8, -848 + 845 = 3*y + 3*x for y.
-5
Solve -43 = -3*n - 2*g - 47, 7*n = 2*g - 36 for n.
-4
Solve -r = -1, 3*j = -11660*r + 11649*r + 11 for j.
0
Solve 2*s + 18*m - 12 = 20*m, 3*m = 2*s - 11 for s.
7
Solve -89*g = -5*c - 91*g + 10, 2*c = -24*g + 4 for c.
2
Solve 358*g - 361*g = 5*z + 2, 0 = -4*z - 4*g for z.
-1
Solve 4*n + 2*b + 14 = 40, n + 2*b = 11 for n.
5
Solve 3*u + 13 = -4*y, 4*y - 3*u + 31 - 12 = 0 for y.
-4
Solve 2*u + 26 = 4*d, 7 = 3*d + 15*u - 14*u for d.
4
Solve -3*h - 4*k - 9 = -7*k, -5*k = -30 for h.
3
Solve 4*h - 58*m - 80 = -30*m, -18 = 3*h + 5*m for h.
-1
Solve -20 = 2*v + 2*f, -f - 366 = 3*v - 332 for v.
-12
Solve 2*b - 2 = -2*k, -4*b - 27*k = -33*k + 26 for b.
-2
Solve -3*w = 5*y - 18, -31*w = -36*w + 5 for y.
3
Solve 4*h + 42 = 6*s, -2*h = 2*s - 4*s + 12 for h.
3
Solve 82*g + 75 = 85*g + 3*v, 8*v = -5*g + 122 for g.
26
Solve -12*f + 3*d = -42, f - 17*d + 4 = -13*d for f.
4
Solve -20 = -2*o - 2*j - 24, 7*j = -5*o - 4 for o.
-5
Solve -48*h + 43*h = 4*k - 35, 0 = 8*h + 4*k - 56 for h.
7
Solve k + 242 = -2*g + 243, 3*g + k = 0 for g.
-1
Solve 597*y + 26 = 592*y + 4*j, 5*j = -3*y + 14 for y.
-2
Solve -j - 3*x = 6, 4*j - 34*x + 35*x - 9 = 0 for j.
3
Solve -32*s + 4 = -28*s, 13*a - 4*s + 0*s = 61 for a.
5
Solve 5*f = 12*y - 13*y + 11, -f = -2*y - 11 for f.
3
Solve 3*d = p - 35, 4*d = 11*p - 383 + 346 for p.
-1
Solve 2*w = 11*z + 45, 770*w - 2*z = 767*w - 5 for w.
-5
Solve -4*i + 174*a - 177*a + 2 = 0, -a - 12 = -5*i for i.
2
Solve -k + 5*l + 17 = -5*k, -4 + 2 = 2*l for k.
-3
Solve 2*x - 5*p = 2, -7445*p = x - 7441*p - 1 for x.
1
Solve 0 = -2*j - 4*u - 1 - 7, -3*j + 24 = -3*u for j.
4
Solve 4*j + 23 = -3*o, -676*j - 2*o = -672*j + 22 for j.
-5
Solve 0*w + 3*a = -4*w - 49 + 56, 4 = -12*w - 4*a for w.
-2
Solve 0 = 3*j - 5*f + 10, 0 = -25*j + 21*j + 14*f - 6 for j.
-5
Solve -948*l = 4*o - 950*l - 18, -33 = -6*o + l for o.
6
Solve -688*b + 3*x - 36 = -691*b, -2*x = -3*b + 1 for b.
5
Solve -2*w = 2*m + 4, m + 6 = 7*w - 9*w for m.
2
Solve 12 = -3*p + 5*t, 3*p + 12*t - 21 = 6*t for p.
1
Solve -3*o + 3*n = -42, -281 + 213 = -4*o + 10*n for o.
12
Solve 2*z = 3*k - 99904 + 99930, 4*k + 23 = 5*z for z.
-5
Solve -5*s = 5*h + 5, -4*h - 2*s - 402 + 410 = 0 for h.
5
Solve j - 2*f + 13 = 0, -j + 826*f - 822*f - 23 = 0 for j.
-3
Solve -5*d = -56*p + 58*p + 5, -2*d - 5*p = 2 for d.
-1
Solve 4*a = -16, 5*n - 1657*a = -1655*a + 28 for n.
4
Solve 0 = 2*o + 2, 16*h - o = 20*h - 39 for h.
10
Solve -4*x + 2320*v = 2317*v + 1, 0 = 3*x - 5*v - 13 for x.
-4
Solve m - 10 = -5*o, -4*m = 2*o + 20 - 6 for o.
3
Solve 5*i = -4*c + 15, 2*c - 42*i = -46*i + 6 for c.
5
Solve 8 = -2*j, -178 = -8*y + 2*j - 210 for y.
-5
Solve -5*h + 4*b = 7, h + 116 = 5*b + 102 for h.
1
Solve 0*q + 4*a = -q, -12*a + 13 = -2*q - 7*a for q.
-4
Solve 19*w - 189 = -5*x, 330*w = 3*x + 329*w + 23 for x.
-4
Solve 408*q + 9 = 405*q, -5*x + 1 - 14 = -4*q for x.
-5
Solve 4*d = -g + 4, 5*d + 55 = g + 26*d for g.
-8
Solve 17*j - n + 4 = 16*j, 4*j + 3*n = -2 for j.
-2
Solve 3*k + 40 = -3*a + 46, -6 = -a - 3*k for a.
0
Solve 52*g - 2*m = 49*g - 1, 0 = 5*g - 5*m + 15 for g.
5
Solve -3*q - 5*w + 4 = 0, q - 15*w + 10*w = -12 for q.
-2
Solve -173*f + 172*f + 11 = -3*m, 44 = 4*f - 5*m for f.
11
Solve 5*v - q + 2*q + 17 = 0, -5*q = 4*v + 22 for v.
-3
Solve -156*f + 153*f - 1 = -p, -4*f = -2*p for p.
-2
Solve -5*z - 18 = -3*t + 11, -33 = 6*z - 3*t for z.
-4
Solve 0 = -3*o - 3*s + 12, -3*o - 192*s + 197*s - 44 = 0 for o.
-3
Solve 67*m - 62*m = 4*j + 25, -13*j = 65 for m.
1
Solve 3*q + 0*q + 3 = 0, 4*w + 11*q + 29 = 10*q for w.
-7
Solve -s = 18, -14327*s = -6*q - 14322*s + 96 for q.
1
Solve 349*g - 347*g - 2 = 2*z, -9*z + 2 = 2*g for z.
0
Solve 4*v - 4*y = 4, -y - 19 = v - 7*y for v.
5
Solve g + 4*h - 1 = 0, -1294*g = -1289*g + 2*h - 5 for g.
1
Solve -5*f - 57*c = -58*c + 30, 2*f - 2*c = -12 for f.
-6
Solve -5*i + 31449*p = 31454*p - 15, 5*i = 4*p + 6 for i.
2
Solve 3*q + 3 = 9*s, -5*q - 44 = -5*s - 59 for s.
2
Solve 4*v - 302 = -5*u - 153, -2*u + 3*v + 78 = 0 for u.
33
Solve -o - 3916 = 3*t - 3893, 3*t - t - 2*o = 6 for t.
-5
Solve -4*f = -x - 23, 3*x + 12 = -f + 8 for x.
-3
Solve q = -3*i - 7, -120*q + 121*q + 2*i = -5 for q.
-1
Solve 3*d + 21 = -4*w, 13*w = 17*w + 9*d + 39 for w.
-3
Solve 5*a = a + 3*o - 56, 2*a + 10 = -3*o for a.
-11
Solve c = -4*s + 8, 2*s = 5*c - 8 + 12 for s.
2
Solve 32*a - 36*a + 6 = -k, 2*k + 3*a - 10 = 0 for k.
2
Solve 0 = 5*p - 3*l - 17, 0 = -3*p + 4*l + 1014 - 995 for p.
1
Solve 4*p - 5*n + 698 = 661, p - 2*n = -16 for p.
2
Solve -1 = 2*t + 3720*h - 3719*h, -16 = -3*t + 2*h for t.
2
Solve 1665 = -3*v + 1650, -4*m + v = -13 for m.
2
Solve -249*o + 252*o + 4*f = -5, -o - 5*f + 2 = 0 for o.
-3
Solve g = 732*l - 733*l + 9, -g - 5 = 0 for l.
14
Solve -3 = -p, 12 = 1297*k - 1296*k + 3*p for k.
3
Solve 0 = 3*d + 33, -30*d - 35 = 5*v - 25*d for v.
4
Solve -2*a - 14 = 4*h, 5*a + 4*h = h - 42 for a.
-9
Solve 38 = 5*m - 3*j, -5*m - 5*j = -7350 + 7320 for m.
7
Solve 4*k = 4*m - 7 + 3, -14*k = -4*m - 6 for m.
2
Solve 27 + 6 = -5*s + q, -2*q = 2 + 2 for s.
-7
Solve -3*f + 3 = -d, 3*f + 17*d + 86 = 251 for f.
4
Solve 0 = 3*l - 2*m, -m - 5 = -228*l + 229*l for l.
-2
Solve 3*r + 5*c = -10, c - 931 = -4*r - 933 for r.
0
Solve -5*u + 36 = w, -4*u + 2 = -5*w - 50 for u.
8
Solve -4*j + 528825 = -s + 528836, 5*j = s - 14 for s.
-1
Solve -875*u = a + 2*a - 888*u - 27, 4*u = -12 for a.
-4
Solve y + 26 = -10*h, -5*h = 13*y - 27*y + 18*y + 34 for h.
-2
Solve 0 = 2*s - o + 5, s = 3204*o - 3205*o + 8 for s.
1
Solve 5*d - 7*y = 5, 4*d = -778*y + 779*y - 19 for d.
-6
Solve -k - 2*y + 3152 = 3149, 2*k - 4 = -3*y for k.
-1
Solve -5*f + 8*x - 11*x - 6 = 0, -3*f - 4*x - 19 = 0 for f.
3
Solve -1 = -a - 3*g - 0, -31 = -a + 3*g for a.
16
Solve -4*j + n + 37 = 0, n = -3*j - 0 + 19 for j.
8
Solve -4*a = -2*u + 33 - 23, u - 5 = -2*a for a.
0
Solve -46*o + 50*o - 12 = -t, 2*o - 3*t = 6 for o.
3
Solve -4*z - 45 = g, -10*g - 5*z - 51 = -14*g for g.
-1
Solve 5*u - 18627*x + 36 = -18629*x, 2*u = -4*x - 8 for u.
-8
Solve -8*l + 2*h = 38, 24 = -4*l + 28*h - 32*h for l.
-5
Solve 0 = 6*r + j + 362 - 344, r + j = -3 for r.
-3
Solve 0 = 4*v - 8*v - 2*g - 70, -2*v + g + 15 = 0 for v.
-5
Solve 0 = 4*p + 4*u + 16, 4*u = 83*p - 78*p - 34 for p.
2
Solve -2*j + 5*a = 70, 0 = -j + 2*a - 8 - 20 for j.
0
Solve 9*v + 20 = -4*c, 0 = -6846*v + 6844*v - 2*c for v.
-4
Solve r - 23 + 86 = 5*d, 5*r + 2*d - 36 = 0 for r.
2
Solve -3*h + p = 1, -4*h + 43*p - 16 = 38*p for h.
1
Solve -100*o - 3 = 3*b - 99*o, -3*b + 5*o = 3 for b.
-1
Solve 57*a - 53*a - 29 = -5*n, -3*a + 3*n = 12 for a.
1
Solve 6 = -5*o + 2*p + 17, -4*o - 5*p = -22 for o.
3
Solve -898*k + 893*k = 2*c - 36, 0 = -k + 3*c + 14 for k.
8
Solve -1502*t - 6 = -1504*t, 4*t - 2 = 2*s for s.
5
Solve 18 = -2*d - 4*b, -6566*d + 6571*d + 3 = 4*b for d.
-3
Solve 3*u - 186 + 176 = -2*p, -5*p = -25 for u.
0
Solve -50 = 3*o - o + 2*i, -o = -5*i + 37 for o.
-27
Solve 2*f = 8*a + 10, -1091*f + 10 = -1089*f + 3*a for f.
5
Solve 19*h - 12*h + 2*x = 42, -12 = 2*h - 4*h - 7*x for h.
6
Solve -2*a - 5*r + 45 - 75 = 0, -6 = -4*a + r for a.
0
Solve -5*p - 258*c - 17 = -257*c, -2*p = -4*c - 2 for p.
-3
Solve r + 2*u + 13 = 0, -5*r - 4033 = u - 3968 for r.
-13
Solve 3*i = 7*b - 6*b - 4, -3*i - 15 = 0 for b.
-11
Solve 3*s - 5431 = -5398, 0 = -4*u + 5*s - 63 for u.
-2
Solve -10*t = -11*t + 5*c - 1, -7*t = -5*c + 37 for t.
-6
Solve -4*h + 2*t - 15 = -27, h - 14 = -5*t for h.
4
Solve -3*v + 2*u = 26, -2*v + 691*u - 15 = 692*u for v.
-8
Solve -l = 64*m - 73*m - 25, 2*m = -3*l - 12 for m.
-3
Solve 1992*y + 1 = 1989*y - o, 3*y + 22 = -4*o for | {
"pile_set_name": "DM Mathematics"
} |
*p**2*y**2 - 29*p**2 + 2*p*y**2 - 24288*y**3 wrt y.
-78*p**3 - 145728
What is the third derivative of -70207*p**6 - 114869*p**2?
-8424840*p**3
Find the second derivative of -1002895*m**5 - 636771*m.
-20057900*m**3
What is the first derivative of 1549*x**3 - x**2 - 25*x + 101207 wrt x?
4647*x**2 - 2*x - 25
Differentiate 5045*g**3*y + g**3 - 6*g**2 - 10*g*y + 4954*g with respect to y.
5045*g**3 - 10*g
What is the second derivative of 75971*d*o**2 - 39594*d*o wrt o?
151942*d
What is the third derivative of 6*l**5 - 2*l**4 - 236*l**3 - 29932*l**2?
360*l**2 - 48*l - 1416
Find the first derivative of 39225*w - 45161 wrt w.
39225
Find the second derivative of 169*j*r**4 + 75*j*r**2 - j*r + 3*j - 66*r + 1 wrt r.
2028*j*r**2 + 150*j
What is the first derivative of 553306*p + 580506?
553306
Find the second derivative of -492*l**5 - 27*l**4 - 1271*l + 2 wrt l.
-9840*l**3 - 324*l**2
Find the third derivative of 7*z**4 + 110149*z**3 - 1050587*z**2.
168*z + 660894
What is the first derivative of 133754*x**3*z - 6236357*x**3 + 2*x*z - z wrt z?
133754*x**3 + 2*x - 1
Find the second derivative of s**2*t**3 + 85*s**2*t**2 + 150*s**2 + 3*s*t**3 + 234*s*t**2 - 17*t**2 wrt s.
2*t**3 + 170*t**2 + 300
What is the second derivative of 527453*b**3 - 2546848*b?
3164718*b
What is the third derivative of -a**5 - 72767*a**3 - 4*a**2 - 20237*a - 2?
-60*a**2 - 436602
What is the third derivative of 3848*q**5 + q**2 + 589*q wrt q?
230880*q**2
Differentiate -256549*d + 354722 wrt d.
-256549
Find the first derivative of 23648*m**2 - 4*m + 204233.
47296*m - 4
What is the third derivative of -12*j*z**5 + 1762*j*z + 4330*z**6 + 33*z**2 wrt z?
-720*j*z**2 + 519600*z**3
Find the second derivative of 468*i**5*v + 10*i**3*v + 9370*i*v + 11*i wrt i.
9360*i**3*v + 60*i*v
What is the third derivative of -16*b**2*y**6 - 2*b**2*y**2 - 10*b*y**6 + 7*b*y - 766*y**2 wrt y?
-1920*b**2*y**3 - 1200*b*y**3
Find the third derivative of -30189*a**5*x + 9*a**3*x - 1825*a**2 + 44*x wrt a.
-1811340*a**2*x + 54*x
What is the first derivative of -2*c**2*o - 12233*c**2*q - 7*c**2 + 53322*o*q - q wrt o?
-2*c**2 + 53322*q
What is the first derivative of -2*d**3 + d**2 + 222*d + 3671 wrt d?
-6*d**2 + 2*d + 222
Find the first derivative of -6*b*z**3 - 5330*b*z + 36327*b - 2*z**2 wrt z.
-18*b*z**2 - 5330*b - 4*z
Find the third derivative of 1857*d**4 + 58851*d**2.
44568*d
Find the third derivative of 4513*s**3 - 21749*s**2 - 2*s - 1.
27078
Find the third derivative of -2*t**4 - 7*t**3*w**3 + 126*t**3 + 333169*t**2*w**3 wrt t.
-48*t - 42*w**3 + 756
Find the third derivative of 39998*j**4 - 3*j**2 - 56992*j - 2 wrt j.
959952*j
What is the derivative of 4*o*u*y + 4*o*y*z - 4*o*z + 278*u**2*y*z - 100*u**2*y - u**2 - 74*u wrt z?
4*o*y - 4*o + 278*u**2*y
Find the third derivative of -11*p**5 + 4793*p**4 - 2*p**3 - 1328151*p**2.
-660*p**2 + 115032*p - 12
Find the first derivative of 68*h*j - 67*h + 2*j - 13894 wrt h.
68*j - 67
What is the third derivative of 5083001*x**6 - 146295*x**2 - x wrt x?
609960120*x**3
Differentiate -62*d**3*o + 4776955*d**3 - 3924*d*o wrt o.
-62*d**3 - 3924*d
Find the first derivative of 1728116*m**2 - 1474496.
3456232*m
Find the third derivative of -4*d**2*r**4 + 11509*d**2*r**3 + 2*d**2*r**2 + 3*d*r**2 + r**4 + 2*r**2 - 25155 wrt r.
-96*d**2*r + 69054*d**2 + 24*r
Differentiate -1027*b*k**3 + 10*b*k**2*v - 4117*b*v*w**2 + 2*k**3*v*w - 11*k**2 + 65*v*w with respect to w.
-8234*b*v*w + 2*k**3*v + 65*v
Find the second derivative of 1225*f**2*x**2 - f**2*x - 19928*f**2 - 19*x**5 wrt x.
2450*f**2 - 380*x**3
Find the second derivative of 3*k**4 + 2438*k**3 - 2*k**2 - 175561*k.
36*k**2 + 14628*k - 4
What is the first derivative of -3*d**3*m**3 - 10492*d**3*y + 5*d*m**3*y - 9*d*m**3 - 47*m**2 - m + 10 wrt y?
-10492*d**3 + 5*d*m**3
What is the second derivative of -37*i**2*w**2 - 5202*i**2*w - 145*w**2 - 8*w wrt w?
-74*i**2 - 290
Find the second derivative of j**3*q - 21*j**3 - 15*j**2*q**3 - 381*j**2 + 599*j*q**3 + 402*q**3 wrt j.
6*j*q - 126*j - 30*q**3 - 762
Find the second derivative of 218742*w**5 - 421*w - 16.
4374840*w**3
Find the first derivative of -1014303*a**2 + 1168407 wrt a.
-2028606*a
What is the third derivative of 744407*f**4 + 3*f**2 - 37758*f wrt f?
17865768*f
Differentiate 266052*o - 179400 wrt o.
266052
What is the second derivative of 89900*g**5 + 5*g**4 + 1233985*g wrt g?
1798000*g**3 + 60*g**2
Find the third derivative of -21400*z**3 - 2*z**2 - 337*z + 3 wrt z.
-128400
Differentiate 127*h**4 + 313*h**3 - 327608 wrt h.
508*h**3 + 939*h**2
Find the third derivative of j**3*q**5 - 91*j**3*q + 3*j*q**2 + 289*q**6 - 3*q**2 wrt q.
60*j**3*q**2 + 34680*q**3
What is the third derivative of 9720*k**6 - 3*k**5 - k**4 - 13590*k**2 - k + 1?
1166400*k**3 - 180*k**2 - 24*k
Find the first derivative of -232*c*d + 247*c - 4*d - 7448 wrt c.
-232*d + 247
Differentiate 790*p**3*r**2 + 20376*p**3 - 27*r**2 wrt r.
1580*p**3*r - 54*r
Find the first derivative of -108875*a + 662116.
-108875
What is the first derivative of -41*a**3*h + 83*a - 33*h + 942 wrt a?
-123*a**2*h + 83
Find the third derivative of 74475*r**6 - 1793*r**2.
8937000*r**3
What is the derivative of 67391*s + 81500?
67391
What is the second derivative of 2154*c*i**2*u + 45*c*i**2 - 2*c*i*u + 2*c*i - i**2*u + 24896*i - u - 2 wrt i?
4308*c*u + 90*c - 2*u
What is the first derivative of c*g**3 - 30328*c*g + 3*g**3 - 2*g + 760 wrt c?
g**3 - 30328*g
Find the first derivative of 189203*n - 164144 wrt n.
189203
What is the derivative of 2*g**3 - 750*g**2 + 24*g + 66701?
6*g**2 - 1500*g + 24
What is the second derivative of 469878*m**4 + 2315*m + 78 wrt m?
5638536*m**2
Find the second derivative of 962*m**3*r**2 - 53*m**3*r - 2*m*r**2 + m*r + 937*m - 6*r**2 wrt m.
5772*m*r**2 - 318*m*r
Find the second derivative of 5735*n**3*t + 36*n**3 + 5*n*t + 35184*t wrt n.
34410*n*t + 216*n
What is the third derivative of 23156*h**3 - 114507*h**2?
138936
What is the third derivative of 593158*t**6 - 13*t**2 - t - 84?
71178960*t**3
Find the third derivative of 200831*z**3 - 9*z**2 - 16*z + 74.
1204986
Find the third derivative of -2*l**6 + 7952*l**4 - 21*l**3 - 1269626*l**2 wrt l.
-240*l**3 + 190848*l - 126
What is the derivative of 795*a**3*m**3*u - 78*a**3*m**2*u - 194*a**3 - 4*a**2*m**3 + 17*a wrt u?
795*a**3*m**3 - 78*a**3*m**2
What is the second derivative of -264518*y**5 - 26*y + 525?
-5290360*y**3
Find the third derivative of 44*k**3*q*x + 124*k**3*x**2 + 11*k**3 + 7507*k**2*q*x**2 + k**2*x**2 + 3*k*x wrt k.
264*q*x + 744*x**2 + 66
What is the derivative of -b**3 + 13*b**2 - 92*b + 46245 wrt b?
-3*b**2 + 26*b - 92
Find the second derivative of 1276854*f**5 + 71*f - 157.
25537080*f**3
What is the second derivative of 1023433*f**2 + 271118*f wrt f?
2046866
What is the second derivative of 72640*o**5 - 160564*o?
1452800*o**3
Find the second derivative of 214939*o**3 - 1307*o + 47 wrt o.
1289634*o
Differentiate 2*p**4 - 4*p**3 + 13*p**2 + p + 325219 with respect to p.
8*p**3 - 12*p**2 + 26*p + 1
Differentiate q**3 - 2*q**2 - 1204*q + 12323 wrt q.
3*q**2 - 4*q - 1204
Find the second derivative of -h*k**2 - 446*h*k + h + k**4 - 28729*k**2 + 3*k wrt k.
-2*h + 12*k**2 - 57458
Find the second derivative of -363991*j**5 + 101992*j - 1 wrt j.
-7279820*j**3
What is the third derivative of 234573*z**3 + 311004*z**2 wrt z?
1407438
What is the second derivative of -73751*h**5 - 797*h - 22 wrt h?
-1475020*h**3
Differentiate 2463*i**4 - 23*i**2 - 638037.
9852*i**3 - 46*i
Find the third derivative of 2*p*w*z**3 - 24*p*w*z**2 - 2*p*w + 5*p*z**3 + 1177*p + 11617*w*z**3 + z**2 wrt z.
12*p*w + 30*p + 69702*w
Find the third derivative of 968311*y**3 - 455375*y**2 wrt y.
5809866
What is the derivative of 94924*v + 75508?
94924
Find the first derivative of 394127*h**2 - 711359.
788254*h
What is the third derivative of 194379*t**4 - 7974*t**2 + 2 wrt t?
4665096*t
Find the second derivative of -13851*h**3 - 130129*h - 2.
-83106*h
What is the first derivative of 1478*p**2 + 44*p - 5280418?
2956*p + 44
Find the second derivative of -130*g**2*k**3 + 261*g**2*k**2 + 2*g**2*k - 4*g**2 + k**2 + 561 wrt k.
-780*g**2*k + 522*g**2 + 2
What is the second derivative of -85*q**5 + 29*q**3 + q**2 - 41364*q wrt q?
-1700*q**3 + 174*q + 2
Differentiate 503285*l*w + 962806*l with re | {
"pile_set_name": "DM Mathematics"
} |
15, 416, 607, 782, 935, 1060, 1151, 1202?
-w**3 + w**2 + 205*w + 10
What is the p'th term of 44710, 44711, 44712?
p + 44709
What is the n'th term of 18, 9, 8, 21, 54, 113, 204, 333?
n**3 - 2*n**2 - 10*n + 29
What is the w'th term of -230, -228, -226?
2*w - 232
What is the m'th term of -63, -209, -453, -795, -1235, -1773, -2409?
-49*m**2 + m - 15
What is the y'th term of -22, -15, -4, 11, 30, 53?
2*y**2 + y - 25
What is the d'th term of -4, -12, -44, -112, -228, -404, -652, -984?
-2*d**3 + 6*d - 8
What is the i'th term of -749, -750, -751?
-i - 748
What is the k'th term of 223, 437, 651, 865, 1079?
214*k + 9
What is the s'th term of 1, 9, 15, 13, -3, -39, -101?
-s**3 + 5*s**2 - 3
What is the f'th term of -322, -323, -324, -325, -326?
-f - 321
What is the q'th term of -72, -114, -154, -192, -228, -262?
q**2 - 45*q - 28
What is the t'th term of 3, 27, 69, 129?
9*t**2 - 3*t - 3
What is the s'th term of -31, -37, -41, -43, -43, -41, -37?
s**2 - 9*s - 23
What is the w'th term of -6, -23, -68, -153, -290, -491, -768, -1133?
-2*w**3 - 2*w**2 + 3*w - 5
What is the x'th term of 35, 50, 65?
15*x + 20
What is the w'th term of 167, 165, 161, 155, 147, 137?
-w**2 + w + 167
What is the u'th term of 38, 169, 388, 695, 1090?
44*u**2 - u - 5
What is the q'th term of 170, 169, 168?
-q + 171
What is the u'th term of 158, 170, 190, 218, 254?
4*u**2 + 154
What is the z'th term of -34, -32, -28, -22, -14, -4, 8?
z**2 - z - 34
What is the b'th term of 12, 38, 80, 138, 212, 302?
8*b**2 + 2*b + 2
What is the v'th term of -254, -503, -754, -1007?
-v**2 - 246*v - 7
What is the h'th term of 14, 17, 20, 23, 26, 29?
3*h + 11
What is the a'th term of -23, -89, -199, -353, -551?
-22*a**2 - 1
What is the s'th term of 54, 108, 162, 216, 270, 324?
54*s
What is the u'th term of -51147, -51145, -51143, -51141?
2*u - 51149
What is the m'th term of -159, -137, -113, -87, -59, -29, 3?
m**2 + 19*m - 179
What is the d'th term of 825, 818, 811, 804?
-7*d + 832
What is the l'th term of -20, -18, 8, 70, 180, 350, 592?
2*l**3 - 12*l - 10
What is the w'th term of 32, 51, 60, 59, 48, 27?
-5*w**2 + 34*w + 3
What is the j'th term of 8, 28, 74, 158, 292, 488, 758, 1114?
2*j**3 + j**2 + 3*j + 2
What is the l'th term of -451, -440, -423, -400, -371?
3*l**2 + 2*l - 456
What is the d'th term of 390, 692, 984, 1260, 1514, 1740, 1932?
-d**3 + d**2 + 306*d + 84
What is the l'th term of 41, 45, 51, 59?
l**2 + l + 39
What is the g'th term of 5, 14, 25, 38?
g**2 + 6*g - 2
What is the t'th term of 414, 412, 410, 408, 406?
-2*t + 416
What is the z'th term of 519, 455, 391, 327?
-64*z + 583
What is the z'th term of 297, 1177, 2643, 4695?
293*z**2 + z + 3
What is the k'th term of 30, 67, 102, 135, 166?
-k**2 + 40*k - 9
What is the s'th term of 18, 46, 86, 144, 226, 338, 486, 676?
s**3 + 21*s - 4
What is the y'th term of -8, -30, -68, -122, -192, -278?
-8*y**2 + 2*y - 2
What is the t'th term of -130, -132, -134?
-2*t - 128
What is the s'th term of 1, 7, 19, 37, 61?
3*s**2 - 3*s + 1
What is the a'th term of -51, -47, -41, -33?
a**2 + a - 53
What is the x'th term of -75, -168, -337, -594, -951, -1420, -2013?
-2*x**3 - 26*x**2 - x - 46
What is the v'th term of -2702, -2707, -2712, -2717, -2722?
-5*v - 2697
What is the b'th term of -32, -67, -102?
-35*b + 3
What is the q'th term of 78, 134, 190?
56*q + 22
What is the z'th term of 17, 47, 77?
30*z - 13
What is the k'th term of 1, 59, 117, 175, 233, 291?
58*k - 57
What is the r'th term of 53, 86, 129, 188, 269, 378?
r**3 - r**2 + 29*r + 24
What is the z'th term of -71, -141, -211, -281, -351?
-70*z - 1
What is the i'th term of -6, 34, 102, 192, 298, 414, 534, 652?
-i**3 + 20*i**2 - 13*i - 12
What is the p'th term of -185, -368, -547, -722?
2*p**2 - 189*p + 2
What is the y'th term of 5, 33, 85, 161, 261?
12*y**2 - 8*y + 1
What is the n'th term of 10, 27, 58, 109, 186, 295, 442, 633?
n**3 + n**2 + 7*n + 1
What is the g'th term of 16, 50, 108, 184, 272?
-g**3 + 18*g**2 - 13*g + 12
What is the b'th term of -130, -502, -1122, -1990?
-124*b**2 - 6
What is the r'th term of 288, 214, 140, 66?
-74*r + 362
What is the u'th term of -2298, -4591, -6886, -9183?
-u**2 - 2290*u - 7
What is the q'th term of 1, -37, -75?
-38*q + 39
What is the l'th term of -49, -50, -63, -94, -149?
-l**3 + 6*l - 54
What is the y'th term of -1257, -2495, -3733, -4971?
-1238*y - 19
What is the r'th term of -3531, -3532, -3533, -3534, -3535, -3536?
-r - 3530
What is the v'th term of -261, -260, -259, -258?
v - 262
What is the y'th term of -9, -19, -29, -39, -49, -59?
-10*y + 1
What is the d'th term of 235, 232, 229?
-3*d + 238
What is the k'th term of 3798, 7596, 11396, 15198, 19002, 22808, 26616?
k**2 + 3795*k + 2
What is the m'th term of 108, 214, 320, 426, 532, 638?
106*m + 2
What is the l'th term of -48, -194, -436, -774, -1208, -1738, -2364?
-48*l**2 - 2*l + 2
What is the z'th term of 2138, 2140, 2142, 2144, 2146, 2148?
2*z + 2136
What is the l'th term of 1, 10, 19, 28, 37, 46?
9*l - 8
What is the y'th term of 410, 424, 442, 464, 490, 520?
2*y**2 + 8*y + 400
What is the o'th term of -3271, -3275, -3281, -3289, -3299, -3311?
-o**2 - o - 3269
What is the h'th term of 5217, 10433, 15649, 20865, 26081?
5216*h + 1
What is the m'th term of -207, -192, -163, -114, -39?
m**3 + m**2 + 5*m - 214
What is the y'th term of -93, -155, -217?
-62*y - 31
What is the g'th term of 74, 145, 216, 287, 358, 429?
71*g + 3
What is the b'th term of 26, 45, 70, 101?
3*b**2 + 10*b + 13
What is the z'th term of -2, 10, 34, 76, 142, 238, 370, 544?
z**3 + 5*z - 8
What is the v'th term of -73, -98, -133, -178?
-5*v**2 - 10*v - 58
What is the v'th term of 4, 2, 0?
-2*v + 6
What is the g'th term of 70, 83, 98, 115?
g**2 + 10*g + 59
What is the i'th term of 149, 298, 445, 590, 733, 874, 1013?
-i**2 + 152*i - 2
What is the o'th term of -11, -17, -23, -29?
-6*o - 5
What is the u'th term of 31, 45, 67, 97, 135?
4*u**2 + 2*u + 25
What is the k'th term of -23, -91, -213, -395, -643, -963, -1361?
-k**3 - 21*k**2 + 2*k - 3
What is the o'th term of -3314, -6629, -9944, -13259, -16574, -19889?
-3315*o + 1
What is the s'th term of 323, 327, 341, 371, 423, 503, 617, 771?
s**3 - s**2 + 323
What is the d'th term of -17, -10, -3?
7*d - 24
What is the j'th term of -70, -114, -196, -322, -498, -730, -1024?
-j**3 - 13*j**2 + 2*j - 58
What is the v'th term of 22442, 22441, 22440, 22439?
-v + 22443
What is the d'th term of -11, -27, -61, -119, -207?
-d**3 - 3*d**2 - 7
What is the g'th term of 103, 96, 85, 70, 51?
-2*g**2 - g + 106
What is the s'th term of -7, -3, -7, -25, -63, -127?
-s**3 + 2*s**2 + 5*s - 13
What is the q'th term of 681, 662, 627, 570, 485, 366, 207?
-q**3 - 2*q**2 - 6*q + 690
What is the n'th term of -179, -194, -225, -278, -359?
-n**3 - 2*n**2 - 2*n - 174
What is the v'th term of 137, 158, 205, 290, 425?
2*v**3 + v**2 + 4*v + 130
What is the j'th term of -98, -92, -74, -38, 22, 112, 238?
j**3 - j - 98
What is the w'th term of -14, -30, -56, -92, -138?
-5*w**2 - w - 8
What is the i'th term of 218, 436, 654, 872, 1090, 1308?
218*i
What is the d'th term of 115, 492, 1119, 1996?
125*d**2 + 2*d - 12
What is the i'th term of 7771, 7769, 7757, 7729, 7679, 7601, 7489, 7337?
-i**3 + i**2 + 2*i + 7769
What is the p'th term of 8392, 8388, 8382, 8374, 8364, 8352, 8338?
-p**2 - p + 8394
What is the m'th term of 219, 212, 193, 156, 95, 4, -123?
-m**3 + 220
What is the k'th term of -42, -91, -140, -189?
-49*k + 7
What is the v'th term of -12731, -12732, -12733, -12734, -12735?
-v - 12730
What is the s'th term of -1232, -2461, -3690, -4919, -6148?
-1229*s - 3
What is the z'th term of 341, 332, 311, 272, 209, 116, -13, -184?
-z**3 - 2*z + 344
What is the m'th term of -35, -106, -223, -392, -619?
-m**3 - 17*m**2 - 13*m - 4
What is the g'th term of 31, 37, 29, 1, -53, -139, -263, -431?
-g**3 - g**2 + 16*g + 17
What is the o'th term of 20, 38, 88, 182, 332, 550, 848?
2*o**3 + 4*o**2 - 8*o + 22
What is the p'th term of 338, 343, 350, 359, 370?
p**2 + 2*p + 335
What is the u'th term of -2211, -2223, -2235, -2247?
-12*u - 2199
What is the t'th term of -110, -205, -298, -389, -478, -565?
t**2 - 98*t - 13
What is the u'th term of 1185, 1182, 1179?
-3*u + 1188
What is the k'th term of 1437, 1424, 1397, 1350, 1277?
-k**3 - k**2 - 3*k + 1442
What is th | {
"pile_set_name": "DM Mathematics"
} |
?
y
Let a be -3*(-4 - -3) - 2. What is the nearest to a in -0.2, -4/5, 0.5?
0.5
Let m = 6 - 5. Let y = m + -1.4. Let z = -0.96 + -0.04. Which is the nearest to z? (a) 5 (b) y (c) -0.1
b
Let z = 17 - 15. Suppose 0*j = j - 4, -12 = -z*v - 3*j. Which is the closest to v? (a) 1/9 (b) 0 (c) 0.5
b
Let i = 0.1 - 0. Let d be -3 - 0 - (-3)/(-3). Let r = 16 + -15. Which is the closest to i? (a) -2/9 (b) d (c) r
a
Suppose 3*t + 1 = -4*f, 0 = 5*f + 2*t - 0*t + 3. Which is the nearest to 0? (a) -1/5 (b) -0.4 (c) f
a
Suppose 4*o - 5*o - 3 = 0, 4*b + 5*o = -23. Suppose -56 = -3*i + i. Let k be i/6 - (-4)/(-6). What is the closest to b in 0, k, 2/3?
0
Let v = 207 + -1861/9. Which is the nearest to v? (a) 5 (b) 4 (c) 2/7
c
Let l = -0.01 + -0.29. Let d = 0.2 + l. Let c = 8.3 + -8. What is the closest to -0.1 in c, 5, d?
d
Let q = 5 - 4.3. Let t = q - -3.3. Let m = -1 + t. What is the closest to 2/9 in -0.4, -1, m?
-0.4
Let o = -0.2 - -0.3. Let f = 0.31 - 0.11. Let g = -230 - -2528/11. Which is the closest to -1? (a) f (b) o (c) g
c
Let f(y) = -y**3 - 6*y**2 + 1. Let h be f(-6). Suppose 5*q - 4 - h = 0. What is the closest to 0.1 in q, -0.3, 1/4?
1/4
Let r = -21 + 16. Which is the closest to -0.1? (a) 5/7 (b) -4 (c) r
a
Let f = 572 - 576.07. Let t = 0.07 + f. Which is the nearest to 1? (a) 2 (b) t (c) 4
a
Let d be 1 + 0/4 + 3. Let t = 11/20 - 1/20. Which is the nearest to t? (a) 2 (b) -2/5 (c) d
b
Let t = -32 + 34. Which is the closest to -0.1? (a) 5 (b) t (c) 3/2
c
Let m = 0.2 - 0.1. Let y = 0.3 - m. Let h = -26 + 30. Which is the nearest to y? (a) -2/3 (b) 2 (c) h
a
Let q be (-10)/15*6/14. Which is the closest to -1/2? (a) q (b) -0.4 (c) 0.3
b
Let y = -2.3 + -2.7. What is the closest to -1 in 0.2, 0, y?
0
Let k = 41.9 + -42. Which is the closest to k? (a) 2 (b) -1 (c) 5
b
Let v = -136 + 682/5. Let y = -2 - -2. Let u = y + 0.1. What is the closest to 0 in -0.3, v, u?
u
Let g(b) = -b**3 - 7*b**2 + 6*b - 16. Let m be g(-8). What is the closest to 2 in 1/21, 2/9, m?
2/9
Let p = -3.4 - 2.4. Let c = p + 6. Let m = 25/26 - 6/13. What is the nearest to -0.1 in c, m, 1?
c
Let q(z) = 230*z. Let l be q(5). Let m be ((-84)/l)/((-9)/30). Let u = m - 1/23. Which is the nearest to 1? (a) 5 (b) 3 (c) u
c
Let x be (-57)/38*-2*8/42. Let d = 12.8 - 14. Let i = d - -1. Which is the nearest to 0.1? (a) x (b) i (c) 1/2
b
Let f be (-2 + 1)/(1/5). Let t = -0.35 + 0.4. Let v = 4.05 - t. Which is the nearest to 0? (a) f (b) -1/3 (c) v
b
Let m(f) = f**3 + 9*f**2 - 10*f + 3. Let z be m(-10). Which is the nearest to 1? (a) 0.3 (b) z (c) 2
a
Let z = 0 + -3. Suppose y - 1 = -5. What is the nearest to y in -1, z, 3?
z
Suppose -4*n = -0*n - 68. Let h = n + -6. Let y be (-2)/(-11) - 13/h. What is the closest to y in 5, -4, -5?
-4
Let m = 2/35 - 88/315. Let y = 48 + -195/4. Which is the nearest to -1? (a) m (b) y (c) 0.2
b
Let u = -1 + 1.2. What is the closest to -2/33 in 0.3, u, -2?
u
Let d = 19.9 - 19. Let j = d - -2.1. What is the nearest to 0.1 in j, 0.5, 2?
0.5
Let x = 0.16 - 0.36. What is the nearest to -1/3 in x, 11/3, 0.5?
x
Let r = 0.2 + 3.8. What is the nearest to 3 in 1, r, -2?
r
Let g = -0.01 - 0.29. Let u = 0.1 + g. Let q = -27 + 53/2. What is the nearest to q in u, 2, 4/3?
u
Suppose -29 = -3*o - 2. Suppose 4 = -t + o. Which is the nearest to -2? (a) t (b) 2 (c) 3
b
Suppose 10 + 5 = -3*o. Which is the closest to 0? (a) o (b) 2 (c) 2/3
c
Let p be 1/(-5)*8/(-12). Which is the closest to p? (a) 4 (b) -2/7 (c) -3
b
Let q = -78 - -74. What is the closest to 0 in -0.4, q, 2/11?
2/11
Let v = -4 + 9. Which is the closest to -0.1? (a) v (b) -2/3 (c) -0.5
c
Let h be (176/30 - 2/(-15))/14. What is the closest to 0 in -1/4, 0.04, h?
0.04
Let g = 1 - 0. Let h(i) = i**2 - i + 1. Let r(s) = 4*s**2 - 12*s - 11. Let x(z) = g*r(z) - 3*h(z). Let a be x(10). What is the nearest to 0 in 3/7, 1/2, a?
3/7
Let u = 4 + -5. Let i = -0.3 - -2.3. Let m = i - u. What is the nearest to m in 0.4, -1/7, 1/4?
0.4
Let v = 12.9 + -13. Let z be (6/4)/(3/8). Which is the nearest to v? (a) z (b) -3 (c) -0.2
c
Let x = 1/30 - 13/30. Let g(z) = 2*z**2 - 3*z - 4. Let p = 4 - 1. Let n be g(p). Which is the nearest to x? (a) 4 (b) n (c) 1/3
c
Suppose -2*i - i - 13 = 4*p, -2*p = 3*i + 5. Let d be -1 - (0 + (-2)/i). Let c = -2378/11 + 216. What is the closest to -0.1 in c, 1/5, d?
c
Let q = 0.147 + 6.853. Which is the nearest to -0.1? (a) 0.2 (b) 4 (c) q
a
Let p = -16 + 15.8. Which is the closest to -2/5? (a) p (b) -2/15 (c) -2
a
Suppose 0 = -2*s + 5*c + 8, -2*s + 11 - 1 = -4*c. Let a = -10 + s. What is the closest to a in -1/4, -4, 2/13?
-1/4
Let g = -89/39 + 8/13. Which is the nearest to g? (a) 2 (b) -1/6 (c) -2
c
Let f = -206 + 1445/7. Which is the nearest to 1/2? (a) -5 (b) 0.4 (c) f
c
Let x = 0.37 + -2.37. Which is the nearest to x? (a) 1/6 (b) 2 (c) -1/2
c
Suppose 3*t - 5*r = 28, -3*t + 0*r + r = -8. What is the closest to t in 0.1, 1/2, -1?
1/2
Let g = -0.02 + 5.02. Let x = g + -4.95. Let p = x + -2.05. Which is the nearest to 2? (a) p (b) 0 (c) 0.1
c
Let n = 0.3 - -0.7. Let p = -4.9 + 0.7. Let j = 4 + p. What is the closest to j in -3, n, -1?
-1
Let m = -60.6 - -56. Let u = 8 + -3. Let p = m + u. Which is the closest to 0? (a) p (b) 2 (c) 5/3
a
Let w(u) = 4*u - 4. Let o be w(2). Suppose -o*j = -14 + 26. Which is the closest to -0.1? (a) -1/5 (b) j (c) 2/5
a
Let h = -3 - -4. Let d = 0.52 + -0.02. Which is the closest to h? (a) d (b) -1/2 (c) -2
a
Let g = 0.053 + 1.947. Which is the nearest to -1? (a) 2/5 (b) g (c) -2/3
c
Let o = -16.1 + 16. Which is the nearest to 1? (a) o (b) -4 (c) 2
c
Let j = -0.8 - 0.2. Let o(p) = -p**2 - 6*p - 7. Let d be o(-5). Let x be d - 2*(-7)/8. Which is the closest to 0? (a) x (b) -0.2 (c) j
b
Let w = 208 - 1870/9. What is the nearest to -1 in 9/7, -4, w?
w
Let q be 3/(6 - (-2)/(-2)). Let f(j) = -j**2 - 7*j + 5. Let h be f(-8). What is the nearest to 0.1 in q, -1/4, h?
-1/4
Let o = -0.84 - -1.04. Which is the nearest to -1/2? (a) o (b) -13 (c) 5
a
Let p = 9 - 4. Which is the closest to 2? (a) 0 (b) p (c) -1/5
a
Let f = 675127/17185 - 2/17185. Let j = f + -39. What is the nearest to 1 in 2, j, 5?
j
Let f = -3/16 + -325/144. Let k = f + 35/18. Which is the closest to -0.1? (a) k (b) 5 (c) 0
c
Let k = -0.242 + 0.042. Which is the nearest to k? (a) 0.3 (b) -1 (c) -5
a
Let r = 579/2 + -289. Let a = -2 - -3. Let f = 175/3 + -59. What is the closest to r in a, f, -2?
a
Let d be 3/(-18)*(-4 + 0). Let r = 136 - 1770/13. Which is the closest to d? (a) -0.5 (b) r (c) 4
b
Let s(p) = -p. Suppose -3*o + 2*d + 5 - 2 = 0, -3 = -3*o - d. Let r be s(o). Let w = 83 - 667/8. What is the closest to r in -0.1, w, -1/6?
w
Let o be 1/(-4) - (-12)/(-16). Let q = -4 + 4.4. Which is the nearest to o? (a) -0.3 (b) -0.5 (c) q
b
Let c = -6 - -11. Let l be (1/(-2))/((-3)/6). Let x be (-8)/6*l/(-4). What is the nearest to x in -0.4, c, -0.5?
-0.4
Suppose -10 = 5*n - 5*h, -h = 1 - 3. Let f = -0.068 - -4.068. Which is the closest to -1? (a) n (b) f (c) -1/4
c
Let h be (-2)/7 - (-60)/63. Let x = -0.77 + 0.27. What is the nearest to h in -3, -1, x?
x
Suppose -3*w - 4*a + 35 = 0, 2*w + 0*w + a = 15. Let r be w/(-5)*2/4. What is the nearest to 0.1 in 1, 1/7, r?
1/7
Suppose -4*q + 9*q = -180. Let z be q/(-16) + -1 + 0. What is the nearest to -2/5 in z, 2/9, 3?
2/9
Let g = -1.16 + 0.06. Let v = 0.1 + g. Let w = -0.9 - v. Which is the closest to w? (a) -5/4 (b) -0.5 (c) 0
c
Let s = -1.3 - -1. Let l = 7 - 13. Let z be (-3)/9*l/(-8). Which is the nearest to -0.1? (a) -5 (b) z (c) s
b
Let z = 2 + 0. Let g be (-6)/33 - (0 + 6/(-33)). What is the closest to 0 in g, z, 4?
g
Let k = 2.6 - 2.3. What is the closest to -1 in 2, -0.1, k?
-0.1
Let l = 1 - -3. Let f be (-39)/9 - l/6. Let o = 0.3 + -0.2. Which is the closest to o? (a) 4 (b) f (c) -3
c
Let n be 12/28*(-1 + -1). Let s be 1 + -2*(-9)/(-14). Let f = 1 + -1. Which is the nearest to f? (a) -3/5 (b) s (c) n
b
Let l be (2 - -2) + 40/(-12). What is the nearest to -3/10 in l, 2/15, -1/3?
-1/3
Let j = 0.05 + -0.35. What is the nearest to 2 in -0.2, j, 3?
3
Suppose -2*s - 2*s = 4. Let z(o) = 2*o**2 + 4*o - 2. Let v be z(-3). What is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
90*x**3 + 327*x**3.
-19*x**3
Collect the terms in 61*h**3 + 3 + h + 62*h**3 - h + 2*h.
123*h**3 + 2*h + 3
Collect the terms in -15*p**3 - 160*p**3 + 75*p**3 - 74*p**3.
-174*p**3
Collect the terms in 3*m + 101 + 127 + 6.
3*m + 234
Collect the terms in 30*h - 254*h**2 - 30*h + 373*h**2.
119*h**2
Collect the terms in 88*y**2 + y**3 - 88*y**2 - 43*y**3.
-42*y**3
Collect the terms in -27026*x**2 - 27026*x**2 + 81081*x**2 - 27039*x**2.
-10*x**2
Collect the terms in -3*v**2 + 4012 - 4027 + 2*v**2.
-v**2 - 15
Collect the terms in -8*x**2 - x**2 + 0*x**2 + 9*x**2 - 18*x**3.
-18*x**3
Collect the terms in 1010 + 277*z**3 - 279*z**3 - 1075.
-2*z**3 - 65
Collect the terms in 35 + 79 - 5 + 27 + 5*r.
5*r + 136
Collect the terms in 518*r + 527*r - 1042*r - 1.
3*r - 1
Collect the terms in 1313*q + 33*q**3 - 1313*q.
33*q**3
Collect the terms in 96*l**2 + 5*l**2 - 35*l**2 + 24*l**2 + 100*l**2.
190*l**2
Collect the terms in 75 + 91 - 151 + 2*i.
2*i + 15
Collect the terms in 6*x**2 + 49 - 70 + 21 - 3*x**2.
3*x**2
Collect the terms in -4*i**2 - 5*i**2 - 4 + 10 - 6*i.
-9*i**2 - 6*i + 6
Collect the terms in 58272*a**2 - 122168*a**2 + 63895*a**2.
-a**2
Collect the terms in -17*s + 2419334 - 2419334.
-17*s
Collect the terms in 45 - 5*r**3 - 20*r**2 + 4*r**3 - 13*r**2.
-r**3 - 33*r**2 + 45
Collect the terms in -18*a - 612 + 8*a + 9*a + 606.
-a - 6
Collect the terms in 2*f**2 + 1852*f**3 - 1560*f**3 + f**2 - 3*f**2.
292*f**3
Collect the terms in 224*g + 123*g + 745*g.
1092*g
Collect the terms in 47 - 70 - 3*a - 11.
-3*a - 34
Collect the terms in 77 - 90 - 46*d + 12*d.
-34*d - 13
Collect the terms in 120428 - 120428 - 25*m**3.
-25*m**3
Collect the terms in 32*k**2 + 29*k**2 - 20*k**2 + 17*k**2 + 19*k**2.
77*k**2
Collect the terms in -198 - 203 + 9*x**2 + 529 - 128.
9*x**2
Collect the terms in -43*v + 118*v + 24*v + 39*v + 18.
138*v + 18
Collect the terms in -1969*y + 4*y**3 + 1969*y - 10*y**3 - 6*y**3.
-12*y**3
Collect the terms in 10 - 21 + 963*z**2 + 11.
963*z**2
Collect the terms in -36*k - 8*k + 32*k.
-12*k
Collect the terms in -55*k**2 + 113*k**2 - 78*k**2.
-20*k**2
Collect the terms in 49*u**2 + 11*u - 14*u - u + 4*u.
49*u**2
Collect the terms in -660*a**3 - 658*a**3 + 2954*a**3 - 967*a**3 - 658*a**3.
11*a**3
Collect the terms in 1 - 35798*p**2 - 1.
-35798*p**2
Collect the terms in -4824469*x**2 + 9648941*x**2 - 4824477*x**2.
-5*x**2
Collect the terms in 6*c**2 + 8*c**2 - 5*c**2 + 40 + 2*c**2 + 2*c**2.
13*c**2 + 40
Collect the terms in -2*v - 3*v + v - 266*v**3 + 4*v + 261*v**3.
-5*v**3
Collect the terms in -577*t**3 - 61*t**2 + 576*t**3 - 6*t**2.
-t**3 - 67*t**2
Collect the terms in -157 - 207*x**2 + 419*x**2 - 209*x**2.
3*x**2 - 157
Collect the terms in -4134690*b + 22*b**3 + 4134690*b.
22*b**3
Collect the terms in 680 - c**3 + 810*c + 2*c**3 - 810*c.
c**3 + 680
Collect the terms in -51*a**2 + 73*a**2 - 31*a**2.
-9*a**2
Collect the terms in -58*t + 105*t + 3*t**2 - 64*t + 17*t.
3*t**2
Collect the terms in 398*a**2 + 2414*a**2 - 97*a**2.
2715*a**2
Collect the terms in -155 + 309*q - 33*q**2 + 155 - 624*q + 315*q.
-33*q**2
Collect the terms in -29*k - 21*k - 21*k + 1 + 99*k - 27*k.
k + 1
Collect the terms in -465*w - 465*w + 1398*w - 463*w.
5*w
Collect the terms in -126 + 126 + 37*a**3 + 2*a.
37*a**3 + 2*a
Collect the terms in 295*m**2 - 109*m**2 - 7*m**2.
179*m**2
Collect the terms in 0 - 2 - 27980*a + 3 - 1 + 27992*a.
12*a
Collect the terms in 17277 - 2*f**2 - 8801 + 9*f**2 - 8476.
7*f**2
Collect the terms in 38846*x**2 + 48215*x**2 + 42570*x**2.
129631*x**2
Collect the terms in -515*b - 845*b + 153*b - 934*b.
-2141*b
Collect the terms in -22 + 172 - 51 + 5*i - 99.
5*i
Collect the terms in -439*u - 382*u - 441*u + 1690*u - 426*u.
2*u
Collect the terms in 66*d**2 - d - 195*d**2 + 71*d**2 + 67*d**2 + d.
9*d**2
Collect the terms in -42*o - 38*o - 38*o + 113*o.
-5*o
Collect the terms in 158 + 153 - 474 + 163 + 37*z.
37*z
Collect the terms in 240 + 3*h**3 + 179 - 419.
3*h**3
Collect the terms in 433*w**3 + 19*w**2 - 885*w**3 + 448*w**3 - 19*w**2.
-4*w**3
Collect the terms in -2*t**3 - 2*t**3 - 110 - 283.
-4*t**3 - 393
Collect the terms in 89 + d**2 + 247 - 73.
d**2 + 263
Collect the terms in -8*p**3 - 4*p**3 + 668*p**2 - 1343*p**2 + 675*p**2.
-12*p**3
Collect the terms in 14*u**3 - 23*u**2 - 5*u**3 - 11*u**3 + 53*u**2 + 17*u**2.
-2*u**3 + 47*u**2
Collect the terms in -21*r - 18*r - 52*r.
-91*r
Collect the terms in -86 - 114 - 2*i**2 + 212 - 20*i**2.
-22*i**2 + 12
Collect the terms in 4*h**2 - 13*h - 67*h - 4*h**3 - 6*h**2 - 24*h.
-4*h**3 - 2*h**2 - 104*h
Collect the terms in 2*b**2 + b**3 - 6873 - 3*b**2 - 3586.
b**3 - b**2 - 10459
Collect the terms in 0 - 5 + 17535*s**3 - 3984*s**3 + 5.
13551*s**3
Collect the terms in -78*m**3 + 227*m**3 + 841*m**3 - 85*m**3.
905*m**3
Collect the terms in -25*a**3 - 2379 + 2379.
-25*a**3
Collect the terms in 292*n + 227*n - 261*n.
258*n
Collect the terms in 24196*g - 72600*g + 24197*g + 24204*g.
-3*g
Collect the terms in -142*u + 144*u - 257*u - 61*u - 120*u.
-436*u
Collect the terms in -6*u + 3*u + 3*u - 15555*u**3.
-15555*u**3
Collect the terms in 26050*a**2 - 13017*a**2 - 13009*a**2.
24*a**2
Collect the terms in -70*o**3 - 69*o**3 - 55*o**3 - 59*o**3 + 324*o**3 - 56*o**3.
15*o**3
Collect the terms in 1690*o**2 - 217*o**3 - 1690*o**2 + 219*o**3.
2*o**3
Collect the terms in -38988*p + 19515*p + 19509*p.
36*p
Collect the terms in 1150645*a**3 - 2301288*a**3 + 1150639*a**3.
-4*a**3
Collect the terms in 20*k - 29*k + 9*k + 23*k**3.
23*k**3
Collect the terms in 15*c**2 - 16*c**2 - 10423332 + 10423332.
-c**2
Collect the terms in -218*h**3 - 215*h**3 + 677*h**3 - 246*h**3.
-2*h**3
Collect the terms in -71*j**2 + 11*j + 6*j - 20*j - 66*j**2 + 139*j**2.
2*j**2 - 3*j
Collect the terms in -2355*w**3 + 2*w**2 - 2*w**2 + 2311*w**3.
-44*w**3
Collect the terms in -26536*b**2 + 13270*b**2 + 7*b**3 + 13266*b**2.
7*b**3
Collect the terms in 5*x**2 + 78*x - 71*x - 4*x**2.
x**2 + 7*x
Collect the terms in -19*c**3 + c + 4*c - 4*c - 820*c**3.
-839*c**3 + c
Collect the terms in -64*h - 68*h + 252*h - 57*h - 65*h.
-2*h
Collect the terms in -1219*q**2 - 4*q + 1412*q**2 + 5*q - q - 191*q**2.
2*q**2
Collect the terms in -12*l + 459*l**3 - 9*l + 28*l - 4*l.
459*l**3 + 3*l
Collect the terms in 276 + 290 - 570 + 9*b**3.
9*b**3 - 4
Collect the terms in 0 - 3 + 0 - w - 2*w + 117*w**2.
117*w**2 - 3*w - 3
Collect the terms in 290*f - 621*f + 311*f.
-20*f
Collect the terms in 49 + 15 - 113 + 49 + 36*l.
36*l
Collect the terms in 886*w**2 - 440*w**2 - 444*w**2 - 50*w**3.
-50*w**3 + 2*w**2
Collect the terms in -2827885*x - 38*x**2 + 38*x**2 + 2827885*x - 5*x**3.
-5*x**3
Collect the terms in -19*h**3 + 209*h**2 + 15*h**3 - 235*h**2.
-4*h**3 - 26*h**2
Collect the terms in -34*z**2 + 29*z**2 - 8965*z + 8965*z.
-5*z**2
Collect the terms in -41*z + 97*z + 95*z + 91*z - 243*z.
-z
Collect the terms in 206*t - 41*t - 39*t - 77*t.
49*t
Collect the terms in 47*o**2 - 47*o**2 + 658*o**3 + 36*o - 36*o.
658*o**3
Collect the terms in -1 - 45*w - 38*w**2 - 43*w + 126*w - 40*w.
-38*w**2 - 2*w - 1
Collect the terms in 4*y - 6*y - 94*y**2 + 2*y.
-94*y**2
Collect the terms in -100*c**3 - 2*c + 185*c**3 - 126*c**3.
-41*c**3 - 2*c
Collect the terms in 4207*r**2 + 4494*r**2 - 8929*r**2.
-228*r**2
Collect the terms in 50*d**2 + 46*d**2 - 93*d**2 - 4.
3*d**2 - 4
Collect the terms in 22*q**2 - 14*q**2 + 207920*q**3 - 8*q**2 - 207922*q**3.
-2*q**3
Collect the terms in 180*g - 48 - 29*g + 62 - 14.
151*g
Collect the terms in -74*g - 326 - 739 + 57*g.
-17*g - 1065
Collect the terms in 56112*b + 56149*b - 112260*b.
b
Collect the terms in 203*t - 400*t + 197*t + 1764*t**3.
1764*t**3
Collect the terms in 5788783*g + 1 + 4 - 5 - 5788785*g.
-2*g
Collect the terms in 6 - 8500*u**2 - 6 + 4249*u**2 + 4245*u**2.
-6*u**2
Collect the terms in 235*z - 144*z + 1 - 1 - z**2.
-z**2 + 91*z
Collect the terms in -16*a**3 - 31*a + 66*a - 26*a - 9*a.
-16*a**3
Collect the terms in -33217*j + 11071*j + 11069*j - 29*j**2 + 11077*j.
-29*j**2
Collect the terms in 223*d**2 + d**3 - 630*d**2 + 205*d**2 + 202*d**2.
d**3
Collect the terms in -1934 - 1956 + 7757 + 5*h**2 - 1929 - 1938.
5*h**2
Collect the terms in 349*c**2 + 2*c - 601*c**2 + 267*c**2 + 210*c**2.
225*c**2 + 2*c
Collect the terms in 10975 + 12669 + 0*m**2 + m | {
"pile_set_name": "DM Mathematics"
} |
-1001011111010 - 101?
-1001011111111
In base 6, what is -1311 - -2?
-1305
In base 11, what is -18 - -11?
-7
In base 16, what is 47 - 0?
47
In base 6, what is -5 - 501?
-510
In base 16, what is -24d - 2?
-24f
In base 7, what is 2 + -143?
-141
In base 12, what is -3 + -1a?
-21
In base 8, what is -7434 + 3?
-7431
In base 13, what is 1bb + -14?
1a7
In base 11, what is -3 + -7?
-a
In base 14, what is -b38 + 2?
-b36
In base 5, what is -3 + -211?
-214
In base 7, what is -4 - 1054?
-1061
In base 10, what is 10 + -24?
-14
In base 7, what is -13 + -13?
-26
In base 15, what is 7 + -1b?
-14
In base 2, what is 101 + 101101110?
101110011
In base 5, what is -2111 - -1?
-2110
In base 15, what is -1 + 3dd?
3dc
In base 15, what is 12 + 3?
15
In base 15, what is 3 - b5?
-b2
In base 7, what is -12 + -4?
-16
In base 4, what is 11 + -232?
-221
In base 3, what is 101101 - 1000?
100101
In base 13, what is 0 - -15c?
15c
In base 8, what is -20 - 476?
-516
In base 10, what is -5 - -996?
991
In base 3, what is -1112020 + -2?
-1112022
In base 10, what is 29 - 20?
9
In base 3, what is 20111 - 201?
12210
In base 8, what is 361 + -4?
355
In base 10, what is -13 + -81?
-94
In base 15, what is 29 + -3?
26
In base 7, what is 4622 + -1?
4621
In base 15, what is 5219 - -3?
521c
In base 15, what is -3 + 5aa?
5a7
In base 4, what is 21 + 12133?
12220
In base 9, what is -2 + 2048?
2046
In base 12, what is 14 - 7?
9
In base 7, what is 34 - 12?
22
In base 3, what is -120 - 122?
-1012
In base 13, what is -2 - 1a?
-1c
In base 8, what is 2342 + 1?
2343
In base 3, what is -220020 - -122?
-212121
In base 7, what is -30006 + 5?
-30001
In base 3, what is -22 - 10211?
-11010
In base 8, what is 3 - -73?
76
In base 15, what is 7 + -8a?
-83
In base 6, what is -213 - -111?
-102
In base 9, what is 21 - 0?
21
In base 2, what is 1100 - 100?
1000
In base 3, what is 1010010 - -12?
1010022
In base 6, what is 1331 - 2?
1325
In base 4, what is -223 - 231?
-1120
In base 16, what is 3 + -d?
-a
In base 12, what is 3 + 20?
23
In base 12, what is 8aa + -15?
895
In base 7, what is 21411 - -3?
21414
In base 12, what is 638 - -3?
63b
In base 5, what is -2 + -341?
-343
In base 7, what is -1116 + 3?
-1113
In base 13, what is -5 + -1?
-6
In base 7, what is 3520 - 12?
3505
In base 5, what is -4 + -11040?
-11044
In base 4, what is 11 + 111?
122
In base 12, what is b - 2?
9
In base 9, what is 14 + 881?
1005
In base 14, what is -d1 - a?
-db
In base 14, what is 69 + a?
75
In base 2, what is 1110 - 100110110?
-100101000
In base 12, what is -24 + 2?
-22
In base 5, what is -110324 - -20?
-110304
In base 13, what is 293 - 4?
28c
In base 2, what is 1110010001 + -11?
1110001110
In base 16, what is 0 - -411?
411
In base 9, what is 7 - 201?
-183
In base 14, what is 1d95 - 5?
1d90
In base 11, what is -174 - 3?
-177
In base 9, what is 4 + 452?
456
In base 5, what is -103 + -43?
-201
In base 5, what is 12 - 1002?
-440
In base 11, what is -44 - 12?
-56
In base 8, what is 207 + -5?
202
In base 16, what is -537e - -4?
-537a
In base 10, what is -13 + 16?
3
In base 12, what is -39 + 58?
1b
In base 6, what is -2 + -12305?
-12311
In base 2, what is -1 - 10?
-11
In base 15, what is -1e9 - -2?
-1e7
In base 15, what is 5a - -4?
5e
In base 4, what is 2 - -13?
21
In base 15, what is -2 + 320?
31d
In base 14, what is b11 + 4?
b15
In base 14, what is -2 - -429?
427
In base 6, what is -2 - -41?
35
In base 2, what is -111 + 101101?
100110
In base 8, what is -4 + -774?
-1000
In base 8, what is -4 - 11?
-15
In base 14, what is 10 + -1?
d
In base 7, what is -3 + 164?
161
In base 5, what is 1334 - -2?
1341
In base 11, what is -18 - -559?
541
In base 3, what is -20210 - 101?
-21011
In base 10, what is -336 + -3?
-339
In base 4, what is -31 - 2023?
-2120
In base 6, what is -5 - 4?
-13
In base 5, what is -34132 + 4?
-34123
In base 10, what is -5 + -92?
-97
In base 5, what is -3 + 221002?
220444
In base 2, what is -100 - 11001?
-11101
In base 10, what is -42 + -2?
-44
In base 9, what is 4 - 20?
-15
In base 3, what is -1001 - 1112?
-2120
In base 16, what is -5 - 67e?
-683
In base 3, what is 21 + -20111?
-20020
In base 15, what is -2a9 - 5?
-2ae
In base 14, what is -4 + -10?
-14
In base 8, what is 2 - 1200?
-1176
In base 8, what is 66 - -5?
73
In base 2, what is 101000110 + -100?
101000010
In base 7, what is 640 + -2?
635
In base 10, what is 10474 - 0?
10474
In base 4, what is -12 + 10220?
10202
In base 15, what is b7 - 5?
b2
In base 9, what is -2402 - 4?
-2406
In base 11, what is -1 + 356?
355
In base 12, what is 369 - -2?
36b
In base 14, what is -21 + -4?
-25
In base 12, what is 7 + -1b1?
-1a6
In base 2, what is -100 - 1111011?
-1111111
In base 12, what is -21 + -2b0?
-311
In base 6, what is -3 - -255?
252
In base 10, what is -2 + -63?
-65
In base 6, what is -241 - 5?
-250
In base 11, what is -12 - 12?
-24
In base 3, what is 101 + 2?
110
In base 4, what is 120 + -12?
102
In base 4, what is 32 - -31112?
31210
In base 7, what is -1 - 1216?
-1220
In base 16, what is 101e - -5?
1023
In base 12, what is -59 + 1?
-58
In base 16, what is a6 - -2?
a8
In base 8, what is -27 - -14?
-13
In base 2, what is 1000011100 + -100?
1000011000
In base 16, what is -181 - 2?
-183
In base 4, what is 33223 + 3?
33232
In base 11, what is -42 + -2?
-44
In base 3, what is 10001 + 21?
10022
In base 8, what is 1 - -161?
162
In base 11, what is -7583 - 2?
-7585
In base 2, what is 10011100000 - 11?
10011011101
In base 12, what is -2 + 309?
307
In base 16, what is -8 - -42?
3a
In base 8, what is 61 - -3?
64
In base 11, what is -1 - 1222?
-1223
In base 3, what is -101 + -212?
-1020
In base 3, what is 21000102 + 10?
21000112
In base 4, what is -1 + -11120?
-11121
In base 2, what is 11010 - 10010111?
-1111101
In base 14, what is -2 - 389?
-38b
In base 4, what is -111201 + 10?
-111131
In base 2, what is -100 - 10110111?
-10111011
In base 16, what is -1 - b18?
-b19
In base 14, what is 5 + -51?
-4a
In base 11, what is 0 + 576?
576
In base 3, what is -1 - 220210?
-220211
In base 4, what is 10 - -2030?
2100
In base 14, what is 9a + 70?
12a
In base 15, what is 0 + 158?
158
In base 15, what is -4 + -9?
-d
In base 13, what is 153 - -3b?
191
In base 8, what is -15 - 67?
-104
In base 12, what is 191 - -21?
1b2
In base 8, what is -2 + 3272?
3270
In base 2, what is -10 + -100100?
-100110
In base 10, what is 145 - 58?
87
In base 7, what is 44612 - -4?
44616
In base 12, what is -17 + -467?
-482
In base 6, what is -4 + 3104?
3100
In base 8, what is -22 - -140?
116
In base 5, what is -10 + -3302?
-3312
In base 5, what is 13440 - -4?
13444
In base 2, what is -1 - -111110110110?
111110110101
In base 8, what is -5 - -45?
40
In base 5, what is 3 + 1013?
1021
In base 13, what is -332 + 7?
-328
In base 9, what is 12864 + 0?
12864
In base 7, what is 5 - 15?
-10
In base 12, what is 3 - 33?
-30
In base 5, what is -10 + -1132?
-1142
In base 5, what is -10 - 402?
-412
In base 7, what is -1014 + 0?
-1014
In base 4, what is 1011 + -11?
1000
In base 4, what is 1303 + 3?
1312
In base 7, what is -1 - -2631?
2630
In base 7, what is -51 + -31?
-112
In base 3, what is -2 + 1210?
1201
In base 10, what is 5 - -1683?
1688
In base 16, what is 9 - -36f?
378
In base 6, what is 2 + -2502?
-2500
In base 16, what is -1 - -1790?
178f
In base 11, what is -684 - 3?
-687
In base 4, what is 1 - 10200?
-10133
In base 14, what is -3 - 182?
-185
In base 6, what is -13 - 320?
-333
In base 16, what is -12 + -6?
-18
In base 4, what is -11 + -11?
-22
In base 15, what is -6 - 11?
-17
In base 2, what is 110110 + 10001000?
10111110
In base 14, what is -4 - 337?
-33b
In base 12, what is 1b130 - 1?
1b12b
In base 5, what is -1343 + 11?
-1332
In base 16, what is 19d + -2?
19b
In base 4, what is 1 - -13100?
13101
In base 10, what is 80 + -164?
-84
In base 4, what is -120 + 1000?
220
In base 11, what is -4 - 44a?
-453
In base 8, what is -3 + 2366?
2363
In base 4, what is -302 + -2002?
-2310
In base 13, what is -2 + 11?
c
In base 7, what is -23 - -123?
100
In base 12, what is -3b - 11?
-50
In base 6, what is -200423 - 1?
-200424
In base 9, what is -3 - 13?
-16
In base 14, what is a - b4?
-a8
In base 13, what is -13 - 308?
-31b
In base 11, what is 7 - -17?
23
In base 14, what is 4d6 + 5?
4db
In base 3, what is 1122202 + -100?
1122102
In base 9, what | {
"pile_set_name": "DM Mathematics"
} |
t is the second smallest value in -3, -4, 11, 2/9?
-3
Which is the smallest value? (a) -0.3 (b) -12 (c) -5 (d) -1/3
b
What is the biggest value in -1/3, 3/2, -0.6, -1?
3/2
Which is the smallest value? (a) 5 (b) -33 (c) -2/11 (d) 0.05
b
Which is the second smallest value? (a) -0.2 (b) 1 (c) 3 (d) 2/7 (e) 0.2
e
What is the second biggest value in 343, -1/3, -5/6, -4?
-1/3
Which is the second biggest value? (a) 1/6 (b) -1 (c) 4 (d) 23
c
What is the third biggest value in -3/5, -5, 4/7?
-5
What is the second smallest value in 0.2, 2/11, -1?
2/11
What is the third smallest value in 2/3, 0.0297, 0.03?
2/3
Which is the third biggest value? (a) -0.13 (b) 0.2 (c) -4 (d) 4 (e) 5
b
What is the second smallest value in -1.6, 4, 0?
0
What is the smallest value in -9, 0.04, 1/7, -2/11, 1?
-9
What is the third smallest value in -0.2, -0.1, 1.8?
1.8
What is the fifth biggest value in 1/4, 43, -0.4, 0.09, 4?
-0.4
What is the fourth smallest value in -26, 1/2, -1/8, -1/5?
1/2
Which is the third smallest value? (a) -1221 (b) -3 (c) 0
c
What is the third smallest value in -64, 2/23, 5?
5
Which is the second biggest value? (a) 2/5 (b) -3/16 (c) 2/3 (d) -0.3
a
What is the third smallest value in -2/19, -1/5, 0.52, -3/5?
-2/19
What is the biggest value in -1/4, 2/3, 8, 6?
8
Which is the second biggest value? (a) -2 (b) 353 (c) -1/2
c
Which is the third smallest value? (a) -8/7 (b) 2/1307 (c) 0.1
c
What is the fourth smallest value in 1, -0.5, 1/7, 1/59?
1
What is the smallest value in 12, 1/14, 5/6?
1/14
Which is the biggest value? (a) 0 (b) -6 (c) 1/5 (d) 2
d
What is the third biggest value in -0.8, 0.5, 0.05?
-0.8
Which is the second smallest value? (a) 0 (b) -0.15 (c) 0.3 (d) 2/9 (e) -2/9
b
Which is the second smallest value? (a) -2/7 (b) -126 (c) 3 (d) 2/7
a
What is the fourth biggest value in 3, 2, 0.5, -29, -18?
-18
Which is the smallest value? (a) 0.3 (b) -1 (c) -219 (d) 0.5
c
What is the biggest value in 0.07, -1/4, 0.2, -1/5?
0.2
What is the fourth smallest value in 2, -0.5, 7, -0.1?
7
Which is the smallest value? (a) 4 (b) 2/19 (c) -1.4 (d) -8.1
d
Which is the biggest value? (a) -1/7 (b) 5 (c) 19/5
b
Which is the third biggest value? (a) 6/13 (b) -1 (c) 3
b
Which is the third smallest value? (a) -31/8 (b) 1 (c) 5
c
What is the biggest value in 1/2, -0.3, -160, 1/5?
1/2
What is the second smallest value in -0.06, -1, -0.07?
-0.07
What is the smallest value in -1/5, 7, 1/6, 5, -2/3?
-2/3
What is the third smallest value in -815, -0.4, 0.2, 0?
0
Which is the fourth smallest value? (a) 0.7 (b) 6.1 (c) -4 (d) -2
b
Which is the second biggest value? (a) 0.27 (b) 0.1 (c) 0.3
a
Which is the fifth biggest value? (a) 0.1 (b) -0.03 (c) 5 (d) -0.3 (e) -6
e
Which is the third biggest value? (a) -2/7 (b) -5 (c) -1.5
b
What is the fourth biggest value in 1/2, 0.1, 1, -0.3, -0.4?
-0.3
What is the fourth smallest value in 1/2, -24, -5, 3?
3
Which is the smallest value? (a) 2 (b) -1/7 (c) 2/5 (d) -0.07
b
What is the third smallest value in -5, -1, -2, 7/2?
-1
Which is the second biggest value? (a) 11/2 (b) 5 (c) -0.1 (d) -5 (e) 0.2
b
Which is the second biggest value? (a) 2/479 (b) -3/2 (c) 2/7
a
Which is the second smallest value? (a) -2 (b) 4 (c) 307.6 (d) 1
d
Which is the biggest value? (a) -2/43 (b) 6/11 (c) 2
c
Which is the second smallest value? (a) -0.4 (b) 8 (c) -6/11 (d) -1/4 (e) 4
a
Which is the fourth biggest value? (a) 10 (b) 0.05 (c) 2 (d) -3
d
Which is the smallest value? (a) -2 (b) -1/9 (c) 15/16
a
Which is the second biggest value? (a) 0.05 (b) 0.2 (c) 4/89 (d) -0.5
a
What is the fourth biggest value in -1/8, -2/11, -0.24, -2/15?
-0.24
What is the third biggest value in 0.64, -0.4, 2, -0.3?
-0.3
What is the biggest value in -0.02, -5, -7/3, 0?
0
What is the biggest value in -5, 3, -0.4, 9/4?
3
What is the second smallest value in -5, -1/10, 1.28?
-1/10
What is the second biggest value in -2, 0, 0.2, 31?
0.2
What is the third biggest value in -2/5, 3, 1/7, -6, 2/9?
1/7
What is the third biggest value in 2, -30, -0.3, 0.5, 0.2?
0.2
Which is the biggest value? (a) -0.7 (b) -4 (c) -2.36
a
What is the third smallest value in -5/8, 3, 2, -2, -12/11?
-5/8
Which is the biggest value? (a) 1/14 (b) -1 (c) 4 (d) -3
c
What is the third smallest value in 4, -10, 9?
9
What is the second smallest value in -8, 4, -2, -3/4?
-2
Which is the third smallest value? (a) -3 (b) -1 (c) -22 (d) -5
a
Which is the biggest value? (a) 4 (b) 0.3 (c) 15 (d) -0.2 (e) 20
e
Which is the biggest value? (a) -7 (b) -24 (c) -5
c
What is the fifth smallest value in -2, -3, -0.3, 0.2, 1.11?
1.11
What is the second biggest value in 6693, 3/4, 0, -2/5?
3/4
What is the fourth biggest value in 0.5, -6, 5, -1?
-6
What is the biggest value in 2/25, 3, 4, -0.094?
4
What is the biggest value in -0.2, 2.77, 4/3?
2.77
What is the third smallest value in 2, -0.1, -1/24, -57?
-1/24
Which is the fourth smallest value? (a) 2/7 (b) 2/23 (c) 0 (d) 1/3 (e) -1.13
a
Which is the second smallest value? (a) 0.5 (b) 1/24 (c) -1
b
What is the biggest value in -2/9, 4, 4/7?
4
What is the third smallest value in -3, 1/3, -164, -5, 1/2?
-3
Which is the second biggest value? (a) 973 (b) -5 (c) -1
c
Which is the third biggest value? (a) -2/11 (b) 16 (c) 4 (d) 2
d
Which is the fifth smallest value? (a) -27 (b) 2/5 (c) -1/5 (d) -0.04 (e) -0.3
b
What is the second smallest value in 4/5, 0.3, -31/5?
0.3
Which is the biggest value? (a) 2 (b) -0.4 (c) 4 (d) -40
c
Which is the third biggest value? (a) -0.2 (b) 2 (c) 247
a
Which is the second smallest value? (a) 11.5 (b) 2 (c) -0.05
b
Which is the biggest value? (a) 0.3 (b) -5 (c) 4 (d) -10
c
What is the third biggest value in 0.2, -1/18, 8, -1?
-1/18
What is the fourth smallest value in 4, 1/17, 1/6, -5?
4
What is the third smallest value in -0.2, -3, -420, 1/4?
-0.2
Which is the fourth biggest value? (a) -0.3 (b) -2/3 (c) 2/9 (d) -0.169
b
Which is the third biggest value? (a) -1/9 (b) -2/11 (c) 7/15 (d) 0.1
a
What is the second smallest value in -3, 0.2, 0, 58, 3?
0
What is the third biggest value in 2, -171, -17?
-171
What is the smallest value in 1/768, 0, 1/11?
0
What is the smallest value in 0, 1/7, -0.26?
-0.26
Which is the third biggest value? (a) 2/7 (b) 6/11 (c) 4
a
Which is the biggest value? (a) -1/2 (b) 1/2 (c) -13 (d) -1/5 (e) -3/5
b
Which is the fourth biggest value? (a) -2/7 (b) 2/7 (c) 1 (d) 3
a
Which is the second biggest value? (a) 0.06 (b) 1/4 (c) -12/13 (d) -5
a
Which is the fourth smallest value? (a) -2/5 (b) 33 (c) 0.06 (d) -5
b
What is the smallest value in 64, -2/9, 0?
-2/9
Which is the smallest value? (a) 0.4 (b) 1/3 (c) 1/6 (d) -5
d
Which is the smallest value? (a) -5 (b) -18 (c) -1 (d) 3 (e) 1
b
Which is the third smallest value? (a) -42 (b) -3/5 (c) -10
b
Which is the second smallest value? (a) 8541 (b) 4 (c) 1/7
b
Which is the fifth biggest value? (a) 197 (b) 0 (c) -3 (d) 0.1 (e) -5
e
What is the third biggest value in 13, -0.4, 0.5, -3/2?
-0.4
What is the biggest value in -19/3, -1, 4/5?
4/5
What is the second biggest value in 125, -0.1, -4?
-0.1
Which is the third smallest value? (a) -5 (b) -0.01 (c) 114
c
Which is the third biggest value? (a) -2/29 (b) 61 (c) -8
c
Which is the second smallest value? (a) 39 (b) 0.2 (c) -1/38
b
What is the smallest value in 0.05, -4/9, 5?
-4/9
What is the third smallest value in 69/4, 0, -5?
69/4
Which is the second smallest value? (a) 0.6 (b) 4/31 (c) -3
b
What is the fourth biggest value in 0.2, 3, -23, -2/7, -5?
-5
What is the fourth biggest value in 2/7, 37/2, 4, -5?
-5
Which is the biggest value? (a) 0.1 (b) -0.5 (c) 3/53 (d) 1
d
What is the smallest value in -8.5, 1, -2/3, -3?
-8.5
What is the second biggest value in 0, -1/4, -122/5, -1?
-1/4
What is the third biggest value in 14/137, -2, 2.1?
-2
Which is the third smallest value? (a) 1 (b) 14 (c) 2/7
b
Which is the biggest value? (a) -3 (b) -0.5 (c) 60 (d) 3
c
Which is the smallest value? (a) -7 (b) 0.3 (c) 5
a
What is the second smallest value in -0.09, 4, -2/17, -9, 0.1?
-2/17
What is the biggest value in -4, 1.6, -25 | {
"pile_set_name": "DM Mathematics"
} |
.
4/259
Calculate 1 divided by -1733.
-1/1733
Calculate -1148 divided by -28.
41
-744 divided by 186
-4
Divide -206 by -6.
103/3
2 divided by 5
2/5
What is 402 divided by 3?
134
Divide -1 by 75.
-1/75
What is 10 divided by 27?
10/27
Divide -186 by -3.
62
493 divided by -17
-29
What is -8016 divided by 2004?
-4
-160 divided by 32
-5
Divide -6840 by 152.
-45
-5895 divided by 4
-5895/4
What is -122 divided by 3?
-122/3
1020 divided by 6
170
Divide 368 by -368.
-1
What is -268 divided by -67?
4
Divide 460 by 3.
460/3
-4 divided by 4
-1
Calculate 670 divided by -27.
-670/27
What is 78 divided by -39?
-2
Calculate -341 divided by 3.
-341/3
-4 divided by 739
-4/739
Divide 3 by -344.
-3/344
Calculate 305 divided by 1.
305
Calculate -510 divided by 170.
-3
Calculate -2222 divided by -101.
22
What is 1759 divided by -4?
-1759/4
What is -28 divided by -7?
4
Divide -2394 by 6.
-399
-7 divided by -2
7/2
What is 105 divided by -13?
-105/13
Calculate 43 divided by -2.
-43/2
What is 4452 divided by -84?
-53
What is -2065 divided by 413?
-5
Divide -101 by -48.
101/48
Calculate -336 divided by 3.
-112
Calculate 2153 divided by 4.
2153/4
Divide 2261 by -7.
-323
What is -38 divided by 13?
-38/13
Calculate -27588 divided by 6.
-4598
5 divided by -27
-5/27
Calculate 5 divided by -3329.
-5/3329
Divide 9 by 395.
9/395
Divide 1426 by -1.
-1426
What is 288 divided by -72?
-4
Divide -7920 by -6.
1320
Calculate 1 divided by 3412.
1/3412
Calculate -11 divided by 21.
-11/21
Calculate 1522 divided by -5.
-1522/5
-374 divided by 6
-187/3
What is 5 divided by 80?
1/16
16 divided by 106
8/53
Divide 22003 by 4.
22003/4
356 divided by 89
4
8543 divided by 1
8543
Divide -4 by -4.
1
Divide 239 by 6.
239/6
12150 divided by 6
2025
Divide -384 by 4.
-96
Divide 3742 by -1.
-3742
Divide 852 by -6.
-142
What is 126 divided by -14?
-9
1972 divided by 29
68
3011 divided by -5
-3011/5
Divide 407 by 3.
407/3
Divide -11 by -170.
11/170
204 divided by -51
-4
21 divided by 4
21/4
What is 3129 divided by 3?
1043
-2632 divided by 4
-658
What is 0 divided by -344?
0
What is -86 divided by 1?
-86
Calculate -2 divided by 1.
-2
Calculate 3 divided by 416.
3/416
-2502 divided by -1251
2
Divide -1611 by 3.
-537
Divide -409 by 1.
-409
2684 divided by -4
-671
What is -512 divided by -512?
1
921 divided by 6
307/2
Calculate 18 divided by 16.
9/8
Divide -89 by 1.
-89
Divide -8294 by 22.
-377
Calculate -14898 divided by 1146.
-13
4 divided by 32
1/8
Calculate -1170 divided by -390.
3
-537 divided by 3
-179
1874 divided by 2
937
Divide -1199 by 4.
-1199/4
812 divided by -116
-7
-3062 divided by -1
3062
What is 15 divided by -7?
-15/7
What is 263 divided by 2?
263/2
Divide -3 by -38.
3/38
Divide -35220 by -3.
11740
Divide 3 by 13.
3/13
What is 260 divided by -4?
-65
Calculate 1328 divided by 6.
664/3
What is 210 divided by 5?
42
-21 divided by -48
7/16
Calculate -2 divided by 319.
-2/319
Calculate -1820 divided by 3.
-1820/3
What is 1131 divided by -377?
-3
-4 divided by 329
-4/329
Divide -4 by 8174.
-2/4087
Calculate 0 divided by 201.
0
Calculate 60 divided by -4.
-15
623 divided by -7
-89
-225 divided by -5
45
Calculate 1505 divided by -1.
-1505
Calculate -2678 divided by -13.
206
Divide 0 by -49.
0
Calculate 2232 divided by -124.
-18
Calculate 1880 divided by -8.
-235
-2990 divided by 2
-1495
Divide 47 by 8.
47/8
-631 divided by 4
-631/4
Calculate 3 divided by -56.
-3/56
Divide 3069 by 33.
93
Divide -664 by 1.
-664
-433 divided by 1
-433
Calculate 1611 divided by 2.
1611/2
Divide -5510 by 4.
-2755/2
What is -130 divided by -58?
65/29
What is 1 divided by -48?
-1/48
What is 765 divided by 153?
5
Calculate -1764 divided by 441.
-4
-8 divided by -108
2/27
Calculate 316 divided by 4.
79
Calculate 128 divided by 2.
64
-498 divided by 83
-6
234 divided by 78
3
Divide 165 by 3.
55
Divide -4 by 620.
-1/155
What is -111 divided by 3?
-37
177 divided by -1
-177
52 divided by 64
13/16
Divide -1644 by 411.
-4
-3272 divided by -409
8
What is 2065 divided by -5?
-413
What is -156 divided by 2?
-78
Calculate 496 divided by 124.
4
5868 divided by 6
978
What is 574 divided by -41?
-14
Divide -4 by 1364.
-1/341
Divide -344 by -1.
344
Calculate -18444 divided by -6.
3074
What is 4325 divided by 865?
5
Calculate -18810 divided by -5.
3762
Calculate -6624 divided by -3.
2208
Divide 348 by -174.
-2
-5 divided by -26
5/26
672 divided by -2
-336
What is -1020 divided by 10?
-102
Divide -3916 by 11.
-356
-3 divided by 1245
-1/415
Divide 6 by -1092.
-1/182
Calculate -1515 divided by -303.
5
What is 237 divided by 4?
237/4
80 divided by 4
20
Divide 4436 by 2.
2218
Divide -519 by 1.
-519
What is -1259 divided by -1259?
1
-748 divided by -374
2
226 divided by -1
-226
Divide 2167 by 17.
2167/17
Divide 1076 by -1.
-1076
What is 78 divided by -6?
-13
Divide 1254 by 1254.
1
What is 53 divided by -53?
-1
What is -8 divided by 61?
-8/61
What is -2 divided by -39?
2/39
What is -4 divided by 133?
-4/133
Divide 1521 by 13.
117
Calculate 1006 divided by -1.
-1006
Divide -14994 by -357.
42
What is -6864 divided by -4?
1716
What is -6 divided by -70?
3/35
-5810 divided by -581
10
Calculate 274 divided by 137.
2
Calculate -246 divided by -123.
2
Calculate 4414 divided by 4414.
1
What is 14549 divided by -5?
-14549/5
36320 divided by -7264
-5
Divide 36 by 14.
18/7
7 divided by -696
-7/696
What is -44 divided by -4?
11
Divide 72 by 3.
24
Divide 18073 by 341.
53
What is -29128 divided by -7282?
4
504 divided by 5
504/5
Divide -2484 by 18.
-138
1224 divided by 36
34
What is 1288 divided by -23?
-56
What is -4 divided by -24?
1/6
1884 divided by -18
-314/3
Calculate 130 divided by -2.
-65
2 divided by -184
-1/92
Calculate -1761 divided by -1.
1761
Calculate -94 divided by -1.
94
-5 divided by 70
-1/14
2847 divided by 949
3
Calculate 4 divided by -55.
-4/55
38 divided by 19
2
Calculate 2701 divided by 1.
2701
Divide 5088 by -32.
-159
What is -2 divided by 130?
-1/65
Calculate 2 divided by -345.
-2/345
63 divided by -3
-21
Calculate -30 divided by 10.
-3
What is -468 divided by 36?
-13
Divide -2 by 27.
-2/27
Divide -5 by -72.
5/72
What is 8858 divided by -103?
-86
-54 divided by -6
9
Divide -167 by -167.
1
Divide -28568 by 4.
-7142
Divide -5762 by 2.
-2881
Divide -12 by 5.
-12/5
What is -396 divided by 36?
-11
Calculate 104 divided by 2.
52
Calculate -2403 divided by 3.
-801
Divide 2331 by 7.
333
97 divided by -4
-97/4
Divide -696 by -174.
4
302 divided by -151
-2
What is 191 divided by 6?
191/6
Divide 783 by 27.
29
Divide -304 by -21.
304/21
Divide -2 by -1965.
2/1965
Calculate 798 divided by -6.
-133
Calculate -60 divided by 15.
-4
What is 23706 divided by 6?
3951
Calculate 2178 divided by 9.
242
Calculate 3601 divided by 5.
3601/5
-590 divided by -5
118
13 divided by 2292
13/2292
Divide -14 by 4.
-7/2
Calculate -1788 divided by 2.
-894
-14 divided by -2
7
What is -62 divided by 1?
-62
-894 divided by -6
149
2742 divided by -2
-1371
Calculate 48 divided by -48.
-1
What is -10124 divided by -2531?
4
Calculate 4336 divided by 1.
4336
-682 divided by -31
22
89 divided by -89
-1
Divide -4320 by -540.
8
Calculate 0 divided by 4.
0
Divide -3 by -28.
3/28
374 divided by -187
-2
Calculate 322 divided by 14.
23
12 divided by 96
1/8
What is -1951 divided by 1951?
-1
108 divided by -5
-108/5
Calculate -6 divided by -79.
6/79
Calculate 20 divided by 3.
20/3
What is -4760 divided by -70?
68
Calculate -1707 divided by 1707.
-1
Divide 60 by -12.
-5
Calculate 137 divided by 3.
137/3
102 divided by -6
-17
34 divided by -21
-34/21
47403 divided by 3
15801
What is 105 divided by 15?
7
Calculate 5730 divided by -382.
-15
What is 1632 divided by 1?
1632
Divide 2040 by -680.
-3
What is 1 divided by 48?
1/48
Calculate -4 divided by 119.
-4/119
Calculate -5616 divided by 108.
-52
What is 1796 divided by 449?
4
What is 367 divided by 367?
1
27 divided by -17
-27/17
-157 divided by -6
157/6
Calculate -287 divided by -6.
287/6
What is -15 divided by -3?
5
What is 1980 divided by -396?
-5
What is -112 divided by 2?
-56
Divide 371 by -6.
-371/6
-18 divided by 8
-9/4
Calculate 42036 divided by 6.
7006
What is -1221 divided by 10?
-1221/10
Divide -2196 by -12.
183
What is -528 divided by -176?
3
-1200 divided by -10
120
-5610 divided by -6
935
Divide 2 by -183.
-2/183
What is | {
"pile_set_name": "DM Mathematics"
} |
ands digit of s?
3
Let t(n) = 2*n**2 - 15*n + 42. Let f be t(5). Suppose f*u + 965 = 22*u. What is the tens digit of u?
9
Let y(t) = 16*t - 2. Let b be y(4). Let a be b - ((-3)/(-1) + -5). Suppose 5*s = 444 - a. What is the tens digit of s?
7
Let q = -46655 - -67186. What is the tens digit of q?
3
Let f = 741 + -449. What is the hundreds digit of f?
2
Let l be (3/(-1))/(-3 - 88/(-30)). Let h = l - 26. What is the units digit of h?
9
Suppose -2*m + 5*g = -9840, 0 = -2*m + m + 2*g + 4920. Suppose 24*o - m = -6*o. What is the hundreds digit of o?
1
What is the tens digit of 10 - (3 + 2) - -6292?
9
Suppose 14*i = 15*i - 20. Suppose i*t - 14599 = -679. What is the units digit of t?
6
What is the units digit of (-576936)/(-21) + (-20)/(-1 - -141)?
3
Let h(i) = 1. Let r(o) = 162*o - 2. Let q(c) = 4*h(c) + r(c). Let z(k) = k - 5. Let j be z(6). What is the units digit of q(j)?
4
Let d(z) = -130*z**3 + 12*z**2 + 55*z + 233. What is the units digit of d(-8)?
1
Let m = -105 - -95. Let p(r) = -r**3 - 11*r**2 - 12*r - 17. Let t be p(m). Suppose 4*s - j - 676 = 0, 2*s - 328 = -0*s + t*j. What is the units digit of s?
0
Suppose 174*a - 305118 = 141*a. What is the hundreds digit of a?
2
Let c(m) = m**2 + 51*m + 8. Let s be c(-18). Let o = 990 + s. What is the hundreds digit of o?
4
Let r be ((-5)/4 + 2)/(2/56). Let g(y) = r - 4*y + 28 + 31 - 3. What is the units digit of g(0)?
7
Let y = 75690 - 50910. What is the ten thousands digit of y?
2
Suppose 12 = -31*u + 34*u. Suppose -w = 5*y - 2250 - 4103, 5082 = u*y + w. What is the tens digit of y?
7
Suppose j + 3*m = -0*m - 7, -4*j + m = -24. Suppose 4*b - j + 40 = 3*h, 3*h + 4*b = -5. What is the units digit of ((-642)/(-30) - 1)*h/1?
2
Suppose -759217 + 192402 = -69*g + 77645. What is the tens digit of g?
4
Let h(o) = 4*o**3 - 17*o**2 + 16*o - 9. Let v be h(7). Suppose q - 5*f = v, 4*q - 7*q = -4*f - 1981. What is the tens digit of q?
6
Let o = -67 - -67. Let b be (-3)/9*o - 15. What is the tens digit of b/(-10)*(-1312)/(-12)?
6
Let l be ((-9)/(-3))/(4/(-420)). Let h = l - -644. What is the units digit of h?
9
Let l = 9190 + -2106. What is the thousands digit of l?
7
Suppose 3*s = -2*j + 3202, 5*s - 3*j - 2*j - 5295 = 0. Suppose s = -18*g + 26*g. What is the tens digit of g?
3
Let y(o) = -7*o**3 - 3*o**2 - 7*o + 180. Let b(r) = 8*r**3 + 3*r**2 + 8*r - 180. Let n(k) = 6*b(k) + 7*y(k). What is the tens digit of n(0)?
8
Let t = 77124 + -35328. What is the thousands digit of t?
1
Let q(s) = 1116*s - 1147. What is the units digit of q(13)?
1
Let i(k) = -6*k**3 - 3*k**2 - 5*k + 5. Let w be i(-7). Suppose -x + 5*x - a - w = 0, a = x - 484. What is the hundreds digit of x?
4
Suppose -2*i = 2*c - 9330, -i = -5*c - 2820 - 1839. What is the tens digit of i?
6
Suppose 0*l - l = 3. Let h(z) = -73*z - 5. Let s be h(l). Suppose -5*t = -s - 251. What is the units digit of t?
3
Suppose -3*m + 2488 = 4*g, -5*g + 2*m + 3083 = -m. Let b = -443 + g. What is the hundreds digit of b?
1
Suppose -2*u + 13*v + 7079 = 18*v, 3*v + 7087 = 2*u. Let r = u + -1489. What is the hundreds digit of r?
0
Suppose 25*h - 17 - 33 = 0. Suppose -2*v = 2*f - 1098, h*v + 5*f = 5*v - 1631. What is the tens digit of v?
4
Let u(v) = v**2 - 30*v + 12. What is the units digit of u(-5)?
7
What is the tens digit of (2387/(-77))/(1/(1*-2 + -313))?
6
Let h = -132 + 2637. Suppose -10*v + h = -2155. What is the tens digit of v?
6
Let s be (3 + 759/(-198))/(1/6). Let f(r) = -5*r - r + 2*r - 19. What is the units digit of f(s)?
1
Suppose -5*g = -4*z - 46475, 3*g - 29005 + 1120 = -5*z. What is the thousands digit of g?
9
Let v = -4186 - -7374. Let w = 4518 - v. What is the thousands digit of w?
1
Suppose -12*v = -36956 + 11252. What is the tens digit of v/56*(7 + -3)?
5
Let i = -29 + 23. Suppose 4*b - 158 + 62 = 0. What is the tens digit of (i/2 - (-60)/b)*-302?
5
Suppose 0 = 6*x - 3*x - 6. Suppose 5*l - 807 = x*l. What is the units digit of l?
9
Suppose -4*r = 2*c + 6, c - 15 = -58*r + 62*r. Suppose -c*n + 1795 = 11*q - 6*q, 0 = -2*q + 3*n + 718. What is the tens digit of q?
5
Let h(x) = 208*x**2 - 42*x + 134. What is the thousands digit of h(3)?
1
Suppose 0 = -18*u + 19*u - 15. Let p(y) = 2*y**2 - 25*y - 43. Let o(n) = -n**2 + 13*n + 22. Let h(s) = 11*o(s) + 6*p(s). What is the hundreds digit of h(u)?
1
Suppose -15 = -5*s, 4*h + 41717 = -5*s + 107520. What is the ten thousands digit of h?
1
Let t(o) be the first derivative of 117*o**2 + 48*o + 54. What is the units digit of t(2)?
6
Suppose -2*i + 13*t - 11*t + 164 = 0, i + 4*t - 77 = 0. Suppose i*w - 7128 = 73*w. What is the units digit of w?
1
Suppose -h + 1 = 2*i, -2 + 1 = -5*i - 3*h. Suppose -2*b - i*p + 720 = -674, -713 = -b - 5*p. Suppose -5*w = 2*w - b. What is the tens digit of w?
9
Let b be (610080/(-4))/(-8) + -3. Suppose -100*h + b = -82*h. What is the units digit of h?
9
What is the units digit of (-3)/((-6)/21956) + (-34)/((-136)/12)?
1
Let s(c) = 22*c**3 - 4*c**2 + 1 + 2 + 2*c**2 - 2. Let o be s(-1). Let b = o + 53. What is the units digit of b?
0
Let p(w) = w**2 - 14*w + 29. Let n be p(14). Suppose -3*m + n = -2*m. Suppose 25*o + 160 = m*o. What is the tens digit of o?
4
Suppose 1156999 = 199*c + 32*c + 8*c. What is the units digit of c?
1
Suppose -2*b + 396 = 2*t, -14*b + 17*b - t - 586 = 0. What is the hundreds digit of b?
1
Suppose 24600 = 2*m + 2*f, -5*m + 61515 = 6*f - 4*f. What is the units digit of m?
5
Let r = 850 + -313. Let j = 1066 - r. What is the units digit of j?
9
Suppose -3*a + 57333 = -p, -a + 19119 = -22*p + 23*p. What is the tens digit of a?
1
Let i(y) = y**2 + 6*y + 12. Let t be i(-2). Suppose -t*x - 939 = -2635. What is the hundreds digit of x?
4
Suppose 0 = 298*c - 165*c - 4021787. What is the tens digit of c?
3
Suppose 17850 = 5*y + 5*u, -4*y + 4*u = -15579 + 1275. What is the units digit of y?
3
Let u be (-5 + -5)/(-3 + (-3386)/(-1130)). Suppose 78*d + u = 83*d. What is the units digit of d?
5
Suppose -2*g - 3*g + 6702 = -3*r, 0 = -3*g + 5*r + 4034. Suppose 2*i + 2*f - 524 = -0*i, -2*f = -5*i + g. Let u = i - 129. What is the tens digit of u?
3
Suppose 6*j + 203 = 209. What is the tens digit of (-10)/20*(-54)/j?
2
Suppose 2*i = 106*z - 109*z + 175521, -2*i - 175497 = -3*z. What is the thousands digit of z?
8
Let k(u) be the first derivative of -30*u - 7/2*u**2 - 2. What is the units digit of k(-13)?
1
Let s = 204 + -125. Let h = s - 51. Let y = -24 + h. What is the units digit of y?
4
Let d = 94 + -89. Suppose 0 = 3*j - 3, -d*j - 395 = 3*r - 64. Let n = r + 205. What is the units digit of n?
3
Let w(q) = -103*q - 190. Let x(n) = -105*n - 189. Let i(d) = 3*w(d) - 4*x(d). What is the units digit of i(5)?
1
Suppose -3*j - 8921 - 14728 = -3*b, 4*j - 23698 = -3*b. What is the tens digit of b?
9
Let a(o) = -12 + 3*o - 5 - 13. Suppose -12*u = -16*u + 52. What is the units digit of a(u)?
9
Let z = -1243 - -845. Let c = z - -566. What is the hundreds digit of c?
1
Let f be 986/(-4) + 12/24. Let y = 365 + f. Let r = y - 29. What is the tens digit of r?
9
Let x(u) = 17*u**2 - 2*u - 1. Let z be x(6). Suppose -2*i = -s - z - 390, 5*s - 15 = 0. What is the units digit of i?
6
Suppose 0 = 56*y + 561884 - 2467060. What is the hundreds digit of y?
0
Suppose 3*p = 3*j + 15, 2*p + 3*p - 3*j - 19 = 0. What is the units digit of (46/(-6))/(p*(-1)/180)?
0
Suppose 3*o = -i - 6, 4*o = 7*i - 11*i - 64. Let z(u) = -12*u + 7*u - 19*u - u**2 - 19. What is the units digit of z(i)?
4
Suppose 26*q = 4*q + q. Suppose 19*t - 12*t - 7644 = q. What is the units digit of t?
2
Let g(k) = k - 3. Let a be g(-5). Let j(b) = -9*b**2 + 22 + 18*b + 2*b - 4*b + 23*b**2 - 10*b**2. What is the hundreds digit of j(a)?
1
Let d be (-5)/4*(-8)/(-12)*-6. Suppose 2*u - 3*u + 5*j = -850, d*u - 2*j = 4158. What is the hundreds digit of u?
8
Let g = -85 + 94. Suppose 4*z = -4*w + 124, -4*z = -g*z + 4*w + 164. What is the tens digit of (-8)/z + (-1162)/(-8)?
4
Let c(y) = 5*y**3 - 383*y**2 - 40*y - 51. What is the thousands digit of c(77)?
8
Let l(c) = -c**2 - 113*c - 1542. What is the thousands digit of l(-44)?
1
Suppose -7*z + z = -336. Suppose -6*s + 2*s + z = 0. Suppose 427 = s*d - 259. What is the tens digit of d?
4
Suppose 27*j - 148231 = 317287 - 14672. What is the thousands digit of j?
6
Let n(c) = -205*c - 1689. What is t | {
"pile_set_name": "DM Mathematics"
} |
er: -88 or r?
r
Let i be (1260/2835)/(2/(-1611)). Is -2498/7 > i?
True
Let m = -12.69 - -12.89. Is m > 359?
False
Let z = -259/2 - -797/6. Are 1/119 and z non-equal?
True
Suppose 2*c - 8*t = -6*t - 6, 4*c + t - 3 = 0. Let d be 86/96 + 6 + -7. Which is smaller: d or c?
d
Let x = -2 - 22. Let s be x/40*(-5)/(-10). Is -0.1 less than s?
False
Let v be ((-141)/(-2))/(9/(-20))*3/(-2). Does v = 231?
False
Let g(h) be the first derivative of h**4/4 + 5*h**3/3 - 2*h**2 + 14*h - 1. Let w be (-28)/2 - -9 - (-1 + 2). Let q be g(w). Which is smaller: 3/2 or q?
3/2
Let j = -841 - -840.9. Let a = -269/2331 + 5/63. Which is bigger: j or a?
a
Let h = -21 - -19. Let s be h/1 + 64/1. Suppose s*y - 60*y + 2 = 0. Is y at most 29?
True
Let p be (97004/1506)/((-1)/102). Let l = p + 6570. Let i = l - 1516/1255. Which is greater: 0 or i?
0
Let d(r) = -r**2 - 17*r - 43. Let y be d(-14). Let g be -3 + -2*46/(-120). Let c = 16/15 + g. Which is greater: y or c?
y
Let f be -1 - ((-2)/1)/(-1). Let n(t) = -t**3 - 3*t**2 + t + 6. Let v be n(f). Let j be ((-12)/(-8))/v*2. Which is smaller: 1/131 or j?
1/131
Suppose 2*r = -3*o + 9, -5*r - 2*o = -o - 16. Let p be (-6 - 232/(-10))/(r/15). Is p greater than or equal to 85?
True
Let j be 25110/105*(-28)/(-78) - 0. Is j != 85?
True
Let c = -15153 + 15169.102. Let q = -0.102 + c. Let g = 0.6 - -1.4. Is g at least as big as q?
False
Let s = -48 - -58. Suppose 16*r - s*r = -312. Let w = 34 + r. Which is bigger: 1 or w?
1
Let z be -2 + 4 - ((-396)/392 - -3). Let p = 15 + -17. Let l be (p/(-6))/(7/(-21)). Which is bigger: l or z?
z
Suppose 7880*m - 7867*m = 29913. Which is smaller: m or 2300?
2300
Let a be (-3088)/(-308) + (-140)/14. Is -5/2 less than a?
True
Let b = -64.2 + 44. Let s = -19.94 - b. Let d = 0 + -1. Is s smaller than d?
False
Let d be (-3 - 5/(-2))/(2/28). Let h(m) = -3*m**2 + 22*m - 46. Let y be h(d). Do y and -348 have different values?
True
Let i(n) = 12 + 3*n + 2*n - n**2 + 6 - n. Suppose -2*u + 15 + 9 = 3*k, 3*k = -u + 24. Let v be i(k). Is v greater than or equal to -25/2?
False
Let c = 5 - 4. Suppose -c = 2*x - x. Let s = 109 + -2074/19. Is s >= x?
True
Let p be (3 + 0 + 3)*28/(-8). Let f = p - -27. Suppose -f*n = 9 - 3. Which is bigger: n or 2/163?
2/163
Suppose o + 123 = 2*j - 11, 2*o + 274 = -2*j. Let l = o - -135. Is 3/41 at least as big as l?
True
Suppose 0 = -7*i + 31449 - 31708. Is i smaller than -73/2?
True
Suppose 5*b - b - 130 = -2*k, 3*k = 2*b - 45. Let p = b - 143. Is -111 less than p?
False
Suppose 14*s = 2*s + 96. Let r(q) = 4*q - 32. Let b be r(s). Let y = 18 - 19. Which is smaller: y or b?
y
Let u = -0.286 + -104.314. Let w = 104 + u. Is w smaller than 8?
True
Let r = -263479/1199748 - -98/447. Does 0 = r?
False
Suppose -73689 = -9*b - 26*b + 6*b. Is b <= 2541?
True
Let p = 4048 - 2238534/553. Is 0 greater than p?
False
Suppose -5*z - 9 = -34. Suppose 5*j - k = k + 278, -5*k - 290 = -z*j. Let m = -31 + j. Which is smaller: 21 or m?
21
Let i = 5 + -4.95. Let j = -0.12 + i. Let b = -73 - -71. Is j > b?
True
Let m = 3817 + -3717. Is m not equal to 101?
True
Suppose -3966*r + 1029 = -3959*r. Which is greater: r or 1187/8?
1187/8
Suppose -v - 1 = 2*z, -2*v = -2*z + z - 8. Suppose h - w + 40 = 0, -2*w = -v*h - h - 152. Is h bigger than -39?
True
Let c be -12 + (-8)/(-9040)*13596. Which is smaller: c or 0?
0
Let y = 217 - 220. Let s(q) = -3*q**2 - 18*q - 47. Let c be s(y). Is -3 >= c?
True
Let u(i) = 2*i**2 - 24*i - 91. Let w be u(15). Let h be (-4)/2 + (-5 - -1). Let t be (w - -1)*h/(-18). Is 0 bigger than t?
False
Let j(p) = 8*p - 75. Let b be j(11). Suppose 13*c + b = -0*c. Which is greater: c or -11/14?
-11/14
Let r be (-7)/(504/(-136278)) - 6/8. Suppose 20*m + r = -2*m. Are -600/7 and m non-equal?
True
Let b be 28/42*(-30)/(-2). Let q be b/8 + (-33)/(-44). Is q less than 5/6?
False
Suppose 4*v = -13*i - 19898, -14651 - 5267 = 4*v + 3*i. Is -4981 greater than v?
False
Let b = -29.13 + 0.13. Let o = 30.1 + b. Let x = -0.9289 + -0.0711. Is o <= x?
False
Let v = 1.6 + -1.62. Let j = -619.3 + 647. Let x = 28 - j. Are x and v equal?
False
Let h = 253002/8335915 - -18/5809. Which is smaller: h or 0?
0
Let x(o) = -43*o**3 + 3*o**2 + o - 2. Suppose 0 = -6*d + 6 + 6. Let p be x(d). Which is smaller: p or -331?
p
Suppose 677 = -23*h + 677. Is h at least as big as 80/77?
False
Let h be -123*(70/(-21) - -2). Which is smaller: h or 183?
h
Let v be (-4*(0 - 1))/((-1)/(-22)). Suppose 23*n - 19*n = v. Suppose -2*h - n = 5*l + 91, 12 = -3*h. Which is greater: l or -23?
l
Let j = 750 - 749.9433. Let t = 45.6567 - j. Let z = t - 45. Is z equal to 0.3?
False
Let s be (-1060)/(-100)*(-220)/(1 + -5). Is s <= 583?
True
Suppose 2*z + 6*y - 9*y + 16 = 0, 0 = -z + 2*y - 11. Which is smaller: z or -90/293?
-90/293
Let r be ((-49)/588*33)/((-17)/40*-3). Is r less than -3?
False
Let t = -6292 - -6290. Suppose -3*w = -5*w - 42. Let n be ((1 - t)*1)/(w/(-2)). Is -0.6 bigger than n?
False
Suppose 4 = 17*j - 21*j. Let r = 1184.486 + -1135.5. Let x = 0.014 + r. Does j = x?
False
Let p = -0.064844 + 1.064844. Let o = 2806/7 + -402. Which is bigger: o or p?
p
Let x = 10486 + -2160167/206. Which is smaller: x or -1?
-1
Let l(z) = 2*z**2 - 34*z - 250. Let n be l(-6). Are n and 25 unequal?
True
Let j be (7/7)/(-5 + (-2886)/(-588)). Is -10 at most as big as j?
False
Suppose -f = 4, 4*b = 7*f - 2*f + 340. Let i = b - 3. Suppose 0*l - 5*l + i = -3*y, -5*y = -2*l + 27. Which is bigger: 14 or l?
l
Let k = -6497 + 6444. Which is smaller: -46 or k?
k
Suppose 12 = 98*f - 94*f. Suppose 2*v + 10 = 0, f*d - v + 980 = -2*v. Which is greater: d or -324?
-324
Suppose x + 12 = 5*u, 3*x = 4*x + 2. Suppose u*q = -2*g, -5*q + 4 = 24. Is 25/8 at most g?
True
Let x = 28/59 + 1453/295. Let z = -15 + 28. Let a = z + -8. Which is smaller: a or x?
a
Let n(c) = 3*c**3 - 19*c**2 - 2*c + 14. Let d(r) = r**3 - 8*r**2 + r - 1. Let i be d(8). Let q be n(i). Are 2 and q equal?
False
Let o = -27.744 + -4.256. Which is greater: o or 0?
0
Suppose 1990 = 14*w - 7726. Suppose 21*r - 1322 = w. Which is greater: 101 or r?
101
Let w = 2.6 + -13.6. Let q = -124/65 - -1128/455. Which is bigger: q or w?
q
Let t be 730/12 + -6*5/(-180). Suppose t + 31 = -2*w. Let x be w*(3 + 62/(-20)). Which is bigger: 4 or x?
x
Let p(q) = -q + 12. Let h be p(-15). Suppose 5*a = -8*n + 5*n - 61, 0 = 3*a + 5*n + h. Let t = a + 14. Which is bigger: 2/47 or t?
2/47
Let q(l) = -194*l**3 - 3*l**2 + 131*l - 535. Let c be q(4). Is -12474 greater than c?
True
Let c be 4*(-3)/(-36)*3. Suppose 50 = -4*r + 70. Let k be 6/r + 48184/(-40470). Which is smaller: k or c?
k
Let b be (15 + -1)/(2 + 60/(-25)). Let z be ((10/b)/((-6)/(-28)))/2. Which is greater: z or -5?
z
Let q = 0.77 - -0.03. Let x = q + 4. Let b = x - 5. Are b and -15 unequal?
True
Let r be 15041/(-5170) - 0/(-3). Let f = 1/5170 + r. Let q be ((-8)/(-2))/2*-2. Which is smaller: q or f?
q
Let s(u) = u + 16. Let l be s(-10). Suppose n = -f + l, 5*n - 1 - 2 = 4*f. Suppose -f*t = -3*c - 0*c + 30, 5*c + 5*t - 20 = 0. Is c smaller than 7?
False
Let k(z) = -25*z - 38. Let s be k(-2). Let b be ((-8)/466)/(s + -11). Is 0 smaller than b?
False
Let q(u) = 19*u + 76. Let r(p) = 8*p + 76. Let f be r(-11). Let h be q(f). Are -152 and h nonequal?
False
Let p(v) = -138*v - 139. Let y be p(-1). Is -4/827 bigger than y?
True
Let l = -1.94 - 0.06. Let n = 1427 + -1378. Let k = -48.84 + n. Which is bigger: l or k?
k
Let z = 28.4 + -11.7. Let l = z - 15.99. Let q = l - 0.74. Which is smaller: q or 4/9?
q
Let y = -9059 - -9059. Which is greater: -4499 or y?
y
Let l = -21 + 14. Let a(v) = -v**2 - 23*v - 32. Let o be a(-22). Let u be 60/o + (-16)/(-3). Is l at least as big as u?
False
Suppose 0 = -q - 4*r - 16, 5*r + 16 = 2*q + r. Suppose q*z + 3*d = 4*z - 42, -3*d = 6. Suppose 5*u = 1 + z. Which is bigger: 1 or u?
u
Let o be (9 + (-21573)/2412)*1/8. Which is bigger: 1 or o?
1
Let k = -855 + 1274. Let l = k + -415. Is l at least as big as -30?
True
Let w = -5847 - -3238. Does -2609 = w?
True
Let a be ((-4)/(-23))/(10269/84*40). Are a and 1 nonequal?
True
Let j(b) = 110*b + 5736. Let p be j(-51). Which is bigger: p or 67?
p
Let h(k) = -k**3 + 2*k**2 + 3*k + 4. Suppose -2*n = -7*n + 15. Let f be h(n). Let v be -2 - (-1 + -11)/f. Which is smaller: -2/7 or v?
-2/7
Let g(f) | {
"pile_set_name": "DM Mathematics"
} |
(-468)/(-162))/(3/(-736587))?
7
Suppose q = 1 - 61. Let b = 113 + q. Let p = b + 45. What is the units digit of p?
8
Let y be (-306)/(-39) - (-4)/26. Suppose -3219 = 3*c - y*c + z, -3*z = 4*c - 2579. What is the units digit of c?
4
Let l(s) = 484*s**2 - 36*s - 79. What is the units digit of l(-9)?
9
Let t be ((-3)/6)/(-1) + (-6183)/(-6). Suppose 0 = -4*o + 16, -3*h = 2*h - o - t. What is the units digit of h?
7
Let q(k) = 199*k + 2017. What is the units digit of q(25)?
2
Let t = -14960 - -15796. What is the tens digit of t?
3
Suppose -g + 27*s + 15488 = 20*s, -5*g + 2*s = -77572. What is the units digit of g?
6
Suppose 3*q - 100685 = -2*s, -s - 3*q = -2*s + 50365. What is the tens digit of s?
5
Suppose -3*o = i - 430 - 197, -2*i = 4*o - 1254. Let d = -231 + i. What is the units digit of d?
6
Let p(g) = 64*g + 89. Suppose 0 = -4*w - 4, 5*w - 3 = 4*l + 20. Let f(t) = -21*t - 30. Let n(c) = l*f(c) - 2*p(c). What is the units digit of n(10)?
2
Suppose 0 = 4058*r - 4065*r + 44569. What is the hundreds digit of r?
3
Suppose -24*k - o + 7990 = -23*k, 3*k + 4*o - 23973 = 0. What is the hundreds digit of k?
9
Let o(u) = -u**3 + u**2 - 24*u + 197. What is the units digit of o(-31)?
3
Let s = 90 + -88. Let h(z) = 4 - 3 + 4*z**2 - 11*z - 6*z - 5*z**s. What is the tens digit of h(-9)?
7
Let z be 58/(45/66 - (-2)/(-4)). Suppose x + 3*o = z + 11, 0 = -3*x + o + 1000. What is the units digit of x?
3
Suppose -2*a + 0*a + 6 = 0. Suppose -g = 4*b + 54, 5*g - a*b + 170 = -215. Let q = g + 81. What is the units digit of q?
7
Suppose 3488*w - 3477*w = 34870. What is the thousands digit of w?
3
Let h(p) be the second derivative of -26*p**3/3 + 9*p**2 - 6*p + 2. What is the tens digit of h(-9)?
8
Suppose 4*q - 832 = -4*s, -q = 3*q - 20. Let a be (4 - 3) + 4/2. Suppose -3*i + 287 = 2*y, s = -a*i - 3*y + 494. What is the tens digit of i?
9
Suppose -16*b = 5*o - 19*b - 29, 12 = -4*b. Suppose -4*s = o*x - 2332, -5*s - 2*x + 2186 = -744. What is the units digit of s?
8
Suppose -25220 = -4*f + 2*o, 3*f = 18*o - 16*o + 18914. What is the units digit of f?
6
Let v(s) = 6*s + s**3 - 35449*s**2 - 2*s**3 - 9 + 35449*s**2. What is the hundreds digit of v(-8)?
4
Let w(u) = 16*u**2 - 8*u + 4. Let y be -3 + 24*(-4)/(-8). Let r be ((-72)/32)/(y/(-12)). What is the hundreds digit of w(r)?
1
Let a = -23 - -36. Let m(z) = 18*z + 56. What is the tens digit of m(a)?
9
Let l(s) = 4*s**2 + 8*s - 4. Let q be (36/42)/(5/(-35)). What is the units digit of l(q)?
2
Suppose -7 + 16 = 3*l. Let z(x) = -6*x**2 - x - 6. Let s be z(l). Let w = 142 + s. What is the tens digit of w?
7
Let v = 18 - 27. Let f be (-1 + 15 + 1)/((-8)/16). What is the units digit of v*(f/(-9) - 3) - -109?
6
Let f = 5431 + -1261. What is the hundreds digit of f?
1
Let y(s) = 10*s**2 + 8*s + 21. Let j be y(4). Let c = 1243 - j. What is the tens digit of c?
3
Let j = -90 - -790. Suppose -j*o + 701*o = 247. What is the hundreds digit of o?
2
Let a = 920 - 928. What is the units digit of 19 - (18/a + 21/(-28))?
2
Let o = 113 + -105. Suppose 0 = -f + o. Suppose 2*z = f*z - 768. What is the units digit of z?
8
Let a(p) = -23*p**3 - 3*p**2 - 26*p - 130. What is the tens digit of a(-5)?
0
Suppose -39 = -5*l - 5*a - 144, l + 30 = -4*a. Let f be (-29)/4 + l/(-72). Let s(b) = -3*b + 3. What is the units digit of s(f)?
4
Let m(c) = 40*c**2 - 13*c + 7. Let p be m(5). Suppose -10*x - 62 = -p. Suppose -5*y + 32 = -x. What is the units digit of y?
4
Let k(r) = 1217*r**2 - 11*r - 5*r - r - 380*r**2 - 2 + 7*r. What is the units digit of k(1)?
5
Suppose 73*y - 1086909 = 477164 + 691846. What is the hundreds digit of y?
9
Let c(q) = -10*q - 152. Let t be c(-19). Suppose 0 = t*v - 22*v - 5520. What is the hundreds digit of v?
3
Suppose 56 = -20*w + 256. Suppose -t + w = -11. Suppose -13*i + 294 = t. What is the tens digit of i?
2
Let v(u) = 191*u**2 + 108*u + 572. What is the hundreds digit of v(-5)?
8
Suppose 30*n - 19*n = 30*n - 73606. What is the thousands digit of n?
3
Suppose -r + h + 7 = 0, 2*r - 13 - 6 = 3*h. Suppose -854 = -4*v + 3*y, 0*y = -2*v + r*y + 426. What is the units digit of v?
5
Suppose -5*x - 6*r + 2*r + 9 = 0, x = 4*r + 21. Suppose x*y + l - 746 = 0, 5*y - 86 - 676 = 3*l. What is the hundreds digit of y?
1
Suppose 7*d + 18*d - 100 = 0. Suppose -2*z - d*v = -77 - 121, -3*z + 303 = 3*v. What is the tens digit of z?
0
Let o = -3634 + 14386. What is the thousands digit of o?
0
Let g = 58 + -56. Let j(n) = 4*n**2 - g*n + 19*n + n**2 + 5. What is the units digit of j(-7)?
1
Suppose -2675 = 5*a - 7535. Let n = 1427 - a. What is the tens digit of n?
5
Let m(k) = -8*k - 325. Let r(y) = -4. Let f(v) = -m(v) + 5*r(v). What is the units digit of f(37)?
1
Let t = -4739 + 9152. What is the units digit of t?
3
Suppose 0 = -m + s - 71, 0 = -4*m - 3*s + s - 290. Let q = 58 - 137. Let t = m - q. What is the units digit of t?
7
Suppose -5*u + 6380 = 5*u. Suppose 780 = 4*n - t, -5*n - t + u = -337. Suppose 2*d = 4*r + 220, -n = -5*d - 5*r + 385. What is the tens digit of d?
1
What is the tens digit of (14/(-10))/((-22476)/(-11240) - 2)?
3
Suppose -3*m = 13*m - 84272. What is the hundreds digit of m?
2
Suppose -2*x + 960 = -5*t - x, 3*x = 4*t + 768. Let l = t - -269. Let n = l + -37. What is the units digit of n?
0
Let i = 83 + -75. Let x = i - 10. What is the units digit of 199 - (3 - x - 5)?
9
What is the tens digit of ((-4 - 11) + 96608)/7?
9
Let m(a) = 4189*a - 1354. What is the tens digit of m(3)?
1
Let o(i) = 15*i**2. Let k be o(-1). Let m(q) = 4*q - 50. Let b be m(k). Suppose -2*r = -b, -r - 745 = -5*v + 2*r. What is the units digit of v?
2
What is the units digit of (13 + 14 - 23)*1174*2?
2
Let g = 267 + -264. What is the tens digit of 0 - (-1)/g - 157783/(-249)?
3
Let t be ((-9)/(-3) - 5) + 531. Suppose a + 3*x - t - 257 = 0, -4*a + 5*x = -3059. What is the units digit of a?
1
Let t be (-1)/(-8 - -1) - (-656)/112. Suppose t*n - 16 = 4*n. Suppose 452 = -4*y + n*y. What is the hundreds digit of y?
1
Let f(h) = -7*h**2 - 30*h - 6. Let p(j) = -3*j**2 - 15*j - 3. Let x(u) = 2*f(u) - 5*p(u). Let n be x(-14). Let b = 108 - n. What is the units digit of b?
9
Suppose 0 = -130*v + 135*v + 135. Let c = 34 + v. Let z(q) = -q**2 + 27*q + 5. What is the tens digit of z(c)?
4
Suppose 0*r - 14721 = -21*r. Let n = 14 + r. What is the tens digit of n?
1
Let f(i) = -i**2 + 3*i + 7. Let p be 4 + (0 - -2) + 6/(-3). Let o be f(p). Suppose -2*k = -o*u + 307, -3*k - k + 396 = 4*u. What is the units digit of u?
1
What is the units digit of -5 + (-68)/102*3474/(-4)?
4
What is the thousands digit of 8628 + (-2)/((50/35)/5)?
8
Let d(p) = -36*p - 2. Let w(u) = u. Let l(q) = -d(q) - 10*w(q). Let b be l(1). Suppose 2*g - 86 = b. What is the tens digit of g?
5
Suppose -2*f - 3*c - c + 50 = 0, 5*c = 2*f - 95. What is the units digit of 7/f - 11/5 - -548?
6
Suppose -2*d - 95245 = -7*c, -c + 8410 + 5195 = -d. What is the units digit of c?
7
What is the hundreds digit of (11 - -1)*(-482632)/(-138)?
9
Let m(i) = -2072*i + 5607. What is the thousands digit of m(-14)?
4
Let d = -13 - -17. Suppose 0 = d*c + c + 40. Let l = c + 60. What is the units digit of l?
2
Suppose 22*g + 19*g - 1862980 = 6*g. What is the hundreds digit of g?
2
What is the units digit of (-18)/((-18)/1273) - (0 + -6)?
9
Suppose -7*m = -2*c + 102053, 3*c = -2*m - 84510 + 237502. What is the ten thousands digit of c?
5
Suppose -14*w = -55*w + 28*w + 220662. What is the hundreds digit of w?
9
Suppose -10*o + 12645 = -36375. What is the hundreds digit of o?
9
Let n be ((-6)/7 - -1) + 215/(-35). Let s(t) = -t**3 - 5*t**2 + 7*t + 6. Let i be s(n). Suppose -p = 4*o - 15, -p + i - 1 = -4*o. What is the units digit of p?
7
Let k be (-9)/(2*15/(-3760)). Suppose k = -7*q + 9*q. What is the units digit of (15/45)/(2*2/q)?
7
Suppose 3*l + 3*d = 3330, 0 = -4*d + d - 9. Suppose -l - 77 = -2*g - 4*j, -4*g = 2*j - 2362. What is the hundreds digit of g?
5
Let f(p) = 79525*p**3 - 2*p**2 - 200*p + 201. What is the thousands digit of f(1)?
9
What is the units digit of 8/((-64)/(-134)) + -16 - (-309781)/4?
6
Let s = 155 + -158. What is the hundreds digit of ((-36)/(-27))/(1/s) + 124?
1
Suppose -111*g - 302906 = 50*g - 821648. What is the units digit of g?
2
Let v = 132 - 220. Let o = v - -152. What is the tens digit of o | {
"pile_set_name": "DM Mathematics"
} |
ttatttattaw?
7/22
Calculate prob of picking 3 h when three letters picked without replacement from {f: 2, y: 2, h: 4, s: 1}.
1/21
What is prob of picking 2 t when two letters picked without replacement from {x: 6, t: 12}?
22/51
What is prob of picking 2 c, 1 r, and 1 z when four letters picked without replacement from czxrr?
0
Four letters picked without replacement from {v: 6, l: 1, o: 4, q: 3, h: 1, n: 1}. What is prob of picking 3 v and 1 n?
1/91
Three letters picked without replacement from {s: 2, r: 1, l: 1, b: 2, p: 1, n: 2}. What is prob of picking 1 b and 2 n?
1/42
What is prob of picking 1 r and 1 t when two letters picked without replacement from {r: 1, t: 3, c: 1, j: 2}?
1/7
Calculate prob of picking 1 g, 1 l, and 2 m when four letters picked without replacement from {l: 2, q: 10, m: 1, b: 1, g: 1, x: 3}.
0
Calculate prob of picking 1 d and 3 b when four letters picked without replacement from bdbbbdbdbddbbbdd.
21/65
What is prob of picking 2 f when two letters picked without replacement from vpiffvfiffviviivfiv?
5/57
Two letters picked without replacement from qaqqaaaaqaaqqaqqqa. Give prob of picking 1 a and 1 q.
9/17
Three letters picked without replacement from {p: 1, s: 2, t: 1, d: 5, c: 1}. Give prob of picking 2 s and 1 d.
1/24
Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {u: 1, r: 5, x: 1, t: 3, z: 3}.
15/286
What is prob of picking 1 d, 1 x, and 1 v when three letters picked without replacement from {j: 1, w: 1, v: 2, d: 7, x: 3}?
3/26
What is prob of picking 2 z and 1 g when three letters picked without replacement from {g: 2, u: 1, z: 4, d: 1}?
3/14
Three letters picked without replacement from {a: 3, k: 9, o: 1, l: 1}. What is prob of picking 1 a, 1 l, and 1 k?
27/364
Three letters picked without replacement from lmvehdhvmeed. Give prob of picking 1 e, 1 d, and 1 m.
3/55
What is prob of picking 1 j and 1 q when two letters picked without replacement from {v: 4, z: 4, j: 1, q: 2, t: 3}?
2/91
Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {t: 4, o: 7}.
28/55
Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {k: 14, c: 5}.
70/171
Calculate prob of picking 1 z, 1 k, and 1 v when three letters picked without replacement from kzvkaavz.
1/7
Two letters picked without replacement from {h: 9, r: 2}. What is prob of picking 2 h?
36/55
What is prob of picking 1 g and 1 k when two letters picked without replacement from {a: 3, g: 13, k: 4}?
26/95
Four letters picked without replacement from {t: 3, c: 1, h: 3, j: 5}. What is prob of picking 1 h, 1 j, and 2 t?
1/11
What is prob of picking 1 k and 1 l when two letters picked without replacement from jdddjddlwjjjkdjjjjj?
1/171
Four letters picked without replacement from {j: 3, f: 2, n: 1, e: 4, y: 1, q: 1}. Give prob of picking 1 j, 1 q, 1 f, and 1 e.
8/165
Calculate prob of picking 2 p and 1 d when three letters picked without replacement from dlllllppppldad.
9/182
Four letters picked without replacement from {n: 10}. What is prob of picking 4 n?
1
Three letters picked without replacement from {g: 2, y: 5, h: 2, l: 3}. What is prob of picking 3 y?
1/22
Two letters picked without replacement from zllqz. What is prob of picking 2 l?
1/10
Three letters picked without replacement from {w: 7, o: 1, d: 1, h: 2, x: 5}. What is prob of picking 2 w and 1 o?
3/80
Two letters picked without replacement from {m: 2, h: 2, p: 2, y: 1, r: 1}. What is prob of picking 2 h?
1/28
Three letters picked without replacement from ljjlljjmjjjljjjpl. Give prob of picking 1 m and 2 l.
1/68
Three letters picked without replacement from relulrrrlalrlllll. What is prob of picking 1 l and 2 r?
9/68
What is prob of picking 2 s when two letters picked without replacement from {s: 6, f: 2, x: 2, p: 3, l: 4}?
15/136
Calculate prob of picking 2 n and 2 f when four letters picked without replacement from {n: 4, r: 2, f: 3, s: 2, c: 2}.
18/715
Two letters picked without replacement from {s: 3, c: 3}. Give prob of picking 2 c.
1/5
Three letters picked without replacement from {b: 5, u: 4, s: 5}. What is prob of picking 2 s and 1 u?
10/91
What is prob of picking 1 q and 1 r when two letters picked without replacement from jirrfiffqfififiri?
3/136
Three letters picked without replacement from {z: 2, n: 5}. Give prob of picking 2 z and 1 n.
1/7
Three letters picked without replacement from niininnnnnnn. What is prob of picking 3 i?
1/220
Calculate prob of picking 1 b, 1 e, and 1 r when three letters picked without replacement from {e: 1, i: 1, b: 9, r: 1}.
9/220
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {t: 4, u: 2, e: 2}.
2/7
Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, r: 2}.
7/12
What is prob of picking 1 s, 1 g, and 1 o when three letters picked without replacement from {h: 4, o: 4, g: 2, w: 2, v: 5, s: 2}?
16/969
Calculate prob of picking 4 q when four letters picked without replacement from hqqqqqqq.
1/2
Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {i: 1, q: 2, f: 1}.
1/4
Four letters picked without replacement from nnnnnnnnn. What is prob of picking 4 n?
1
Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {v: 1, n: 3, c: 2, w: 3, h: 1, q: 1}.
2/55
Four letters picked without replacement from rrrerrrrrrrrrrrrrrr. Give prob of picking 4 r.
15/19
Three letters picked without replacement from rbbrlgrfrl. What is prob of picking 1 b, 1 f, and 1 g?
1/60
What is prob of picking 3 w when three letters picked without replacement from {v: 1, w: 5, d: 1, r: 3}?
1/12
Calculate prob of picking 1 c and 1 f when two letters picked without replacement from dffxdceg.
1/14
Calculate prob of picking 2 p when two letters picked without replacement from {m: 1, w: 1, p: 2}.
1/6
What is prob of picking 1 o and 1 t when two letters picked without replacement from ttototto?
15/28
Four letters picked without replacement from {u: 6, f: 2, s: 5}. Give prob of picking 1 f, 1 u, and 2 s.
24/143
Calculate prob of picking 1 j and 2 s when three letters picked without replacement from ajssszqsz.
1/14
What is prob of picking 1 f and 2 s when three letters picked without replacement from sffss?
3/5
What is prob of picking 2 s and 1 m when three letters picked without replacement from {s: 4, t: 2, m: 3}?
3/14
Two letters picked without replacement from {w: 2, e: 5}. Give prob of picking 2 w.
1/21
What is prob of picking 1 w and 3 e when four letters picked without replacement from {e: 5, w: 13}?
13/306
What is prob of picking 2 r when two letters picked without replacement from eeergerrleog?
1/22
What is prob of picking 1 t and 1 j when two letters picked without replacement from jtglgtlgtijggg?
6/91
Two letters picked without replacement from {a: 2, e: 4, n: 2, s: 3, l: 1}. Give prob of picking 1 a and 1 l.
1/33
Calculate prob of picking 2 s when two letters picked without replacement from zzsssqsp.
3/14
Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {q: 2, k: 1, n: 1, r: 2, b: 2}.
1/14
Calculate prob of picking 1 d and 3 r when four letters picked without replacement from ddxrqqqqqqqxdqrrr.
3/595
What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 3, n: 5, o: 1}?
5/12
Three letters picked without replacement from zzjrlzuplplz. What is prob of picking 1 l, 1 z, and 1 j?
3/55
Two letters picked without replacement from {r: 3, t: 4}. Give prob of picking 2 t.
2/7
Three letters picked without replacement from eeeeeee. What is prob of picking 3 e?
1
Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhh.
1
Three letters picked without replacement from {g: 2, r: 11}. What is prob of picking 3 g?
0
What is prob of picking 1 q and 1 i when two letters picked without replacement from iiitiqqioqqqqii?
2/5
Four letters picked without replacement from karkkrrkk. What is prob of picking 1 a and 3 r?
1/126
Calculate prob of picking 1 h, 1 c, and 1 f when three letters picked without replacement from {c: 5, a: 2, h: 2, f: 8}.
2/17
Two letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
0 - s. What is the units digit of o?
1
Let j be (1 - 0)/((-8)/16). Suppose 8 = b - z, -b + 5*b + 4*z = -8. What is the units digit of (b + j)/(3/327)?
9
Let p = -54 + 60. Suppose 5*u + p - 16 = 0. Suppose 3*q + 2*n = u*q + 112, 4*q + 5*n = 442. What is the hundreds digit of q?
1
What is the units digit of 352 + 15/(-180) + (-259)/(-84)?
5
Suppose 0 = 5*h - 20 + 5, 2*h = 5*x - 9. Suppose 0 = 3*c + 4*g - 1222 + 328, 5*g + 298 = c. What is the units digit of c/6*x - -1?
0
What is the units digit of (32 - 4830/147)/((-3)/48482)?
2
Let q = 595 + 166. Suppose 5*k = -4*y + 1513, -k = 4*y - 2*y - q. What is the tens digit of y?
8
What is the tens digit of (2625568/112)/(-11)*(-14)/4?
5
Let n(i) = -1849*i + 327. What is the hundreds digit of n(-2)?
0
What is the hundreds digit of -6393*(187/33 + -6)?
1
Let z(o) = -315*o - 360. Let y(b) = -35*b - 40. Let k(i) = -55*y(i) + 6*z(i). Let r(q) = -q - 1. Let u(s) = 3*k(s) + 120*r(s). What is the tens digit of u(-5)?
7
Let z(j) = 3*j + 6*j**2 - 8*j + 108 - 9*j + 27 - 2*j. What is the units digit of z(6)?
5
Suppose -3*y - 392 = -c - 2*y, -1942 = -5*c - y. Let l(s) = -s + 5. Let u be l(0). Suppose 5*f = 2*a - 2 + c, 5*f = -u*a + 380. What is the tens digit of f?
7
Suppose 126*a - 2676 = 125*a + y, -4 = -y. What is the units digit of a?
0
Let m(v) = -25*v**2 + 35*v - 73. Let d(t) = -13*t**2 + 18*t - 37. Let b(z) = 11*d(z) - 6*m(z). What is the units digit of b(7)?
0
Let h(z) be the second derivative of z**5/20 + z**4/12 + 83*z**2 - 19*z. Let u be h(0). Let b = u + -101. What is the tens digit of b?
6
Let d be 6/42 + (-87)/21 - -4. Let z(m) = -7*m - 75. Let j(x) = x. Let l(f) = -6*j(f) - z(f). What is the units digit of l(d)?
5
Suppose 0 = -66*c + 60*c + 360. Suppose -c = -8*v + 180. What is the tens digit of v?
3
Let o(x) = 25*x**2 - 35*x - 62. What is the units digit of o(16)?
8
Let u = 242 + -238. Suppose 3*c + v = 3069, -u*v - 138 + 1150 = c. What is the hundreds digit of c?
0
Suppose -3*q + 15 = 6. Suppose 4*i = q*c - 15, -6*c = -5*c - 5*i - 5. Suppose 3*p = c*z + 481, -6*z - 827 = -5*p - 4*z. What is the tens digit of p?
6
Let w = 52 - 51. What is the units digit of 1*(-2 + 262/w)?
0
Suppose -3*l + q + 16248 = 0, -q - 13308 - 8358 = -4*l. What is the units digit of l?
8
Suppose -179*j + 1058783 = -75*j - 1279761. What is the thousands digit of j?
2
Let j(b) = 2669*b - 993. What is the hundreds digit of j(4)?
6
Let t = -2 - -25. Suppose 19*d = t*d. Suppose -4*y - 2*j = -304, d*y - 2*y + 5*j = -140. What is the tens digit of y?
7
Suppose 59*f - 54*f = -4*y + 23643, 5*f = -6*y + 23637. What is the thousands digit of f?
4
Suppose -27*b + 437 = -4*b. Suppose -6110 = -b*t + 3124. What is the tens digit of t?
8
Let x = -1538 + 2182. Let l = x + -430. What is the tens digit of l?
1
Let i(l) = 12*l**3 + 5*l**2 - 6*l + 13. Let q be i(3). Let j = q - 158. What is the hundreds digit of j?
2
Suppose 49*v = 47*v - 1910. Let r = 1690 + v. What is the tens digit of r?
3
Let a(h) = h**3 + 12*h**2 - 26*h - 6. Let f be a(-12). What is the tens digit of (f/4)/((-27)/(-36))?
0
Let s = 32362 + -5967. What is the thousands digit of s?
6
Let m(h) = 225*h + 4. Let p be m(2). Let w = 812 - p. Suppose 2*a = -4*u + w, -4 = a - 5*a. What is the tens digit of u?
8
Let h be 219/9 + 4/6. Let b be (-3)/2*646/(-2907) - 2/(-3). What is the tens digit of h + (4 + -1 - 6)*b?
2
Suppose 6 + 0 = 3*s. Suppose 0 = -5*v - 5*d + 215 + 505, -s*v + 4*d + 282 = 0. What is the hundreds digit of v?
1
Suppose -3*k + 154251 = 6*o - 11*o, -4*o - 154245 = -3*k. What is the units digit of k?
7
Suppose 0 = 33*a - 100*a + 78323. What is the tens digit of a?
6
Suppose 7299 = o + 47*f - 43*f, o - 7287 = 2*f. What is the thousands digit of o?
7
Suppose 0 = -32*m + 44*m - 31476. What is the thousands digit of m?
2
Let t(s) be the second derivative of s**4/12 + s**2/2 + s. Let a = -2922 + 2915. What is the tens digit of t(a)?
5
Suppose -31*s = -171599 + 29836. What is the hundreds digit of s?
5
Let f be (12/14)/(18/1764). Suppose 0 = -4*m - 4 + f. What is the units digit of m?
0
Let m = 68947 + -41311. What is the thousands digit of m?
7
Let z be 4/(-10) - (3 - 71630/(-50)). Let m = z - -2315. What is the tens digit of m?
7
Let i = 11782 + -5382. What is the thousands digit of i?
6
Suppose -3*b - 19*s + 18*s + 52919 = 0, 3*b + 2*s - 52915 = 0. What is the tens digit of b?
4
Let m(v) = -5*v + 2*v - 2*v + 1 + 2*v + 11*v**2 + 13*v**2. Let o be (-24)/9 - 4/(-6). What is the units digit of m(o)?
3
Let k(l) = 26222*l**3 + 2*l**2 + 7*l - 8. What is the tens digit of k(1)?
2
Let n = -44856 - -73316. What is the units digit of n?
0
Let b(s) be the second derivative of s**4/12 - s**3/2 - 9*s**2 + 18*s. Let y be b(10). Suppose -t = -27 - y. What is the units digit of t?
9
Let b = -314 + 308. What is the tens digit of 2 - (7 + 492/b)?
7
What is the units digit of 89685/6*((-637)/35 - -19)?
8
Let z(x) be the second derivative of 8*x + 89/2*x**2 + 0 + 1/6*x**3. What is the units digit of z(0)?
9
Suppose 45 = -3*w - f, -1 = -w - f - 16. Let n = -42 + w. Let g = n + 106. What is the units digit of g?
9
What is the tens digit of (8493/6)/(4 - (-14)/(-4))?
3
Let j(z) = -2*z**3 - 3*z**2 - 2*z + 7. Let d be j(-5). Suppose 5*w - 83 = d. Let r = w + -16. What is the tens digit of r?
3
Let b = 4032 - -11864. What is the ten thousands digit of b?
1
Suppose 2*q + 5 - 17 = 0. Let n(g) = -226*g**2 - 3*g - 10. Let w be n(q). What is the units digit of w/(-65) + 2/5?
6
Let x(l) = -16*l - 1. Suppose 0 = -5*u + 174 + 26. Let m = -44 + u. What is the tens digit of x(m)?
6
Let a(t) = 3*t**3 - 9*t**2 + 4*t + 6. Let s(v) = 13*v + 60. Let b be s(-4). What is the hundreds digit of a(b)?
9
Suppose 2*o = -f + 1051, 3*o + 1034 + 2137 = 3*f. Suppose 3*n + 3*a = -n + f, -3*a = -15. What is the units digit of n?
0
What is the thousands digit of 74457 + (196/(-42))/(7/(63/6))?
4
What is the thousands digit of -2 + 10 + (1316 - -5)?
1
Let u(d) = -18*d**3 + 8*d**2 - 39*d - 213. What is the tens digit of u(-8)?
2
What is the thousands digit of -10 + 168/18 - ((-74146)/6 - 2)?
2
Let g = 5 - 3. Let t be (-8 - -7)/(g/10). Let k(j) = 2*j**2 - 27*j - 1. What is the tens digit of k(t)?
8
Suppose 0 = x + 4*s - 2, 5*x = -0*s - 2*s + 28. Suppose x*z = z - 2*c + 3840, 5*z - 2*c = 3860. What is the tens digit of z?
7
Let z(n) = 3*n**2 + 44*n + 18. Let f be z(-13). Let k = f - -51. Suppose -395 = -4*l + w, k*l - 4*w = 6*l - 202. What is the tens digit of l?
9
Let t = 52 + -54. Let o be -3 - -480 - (0 + t). Suppose -3*y = -3*l + 471, -2*y + 7*y = -3*l + o. What is the units digit of l?
8
Let g be (-3)/(-12) + 2/(32/492). Let l(v) = -g + v**3 + 6*v**2 - 19 - 6*v + 44. What is the tens digit of l(-5)?
4
Let l = 2088 - 1453. Let h be (144/(-10))/(-7 + 4443/l). What is the tens digit of (h/(-24))/((-9)/12)?
5
Let o be ((-8)/(-3))/((-2)/(-18)). Let n(q) = -2*q**2 - 9*q + 28. Let j be n(-6). What is the units digit of -1*o/j*(-160)/8?
8
Let v(u) = 23*u + 461. What is the tens digit of v(46)?
1
Let o(n) be the first derivative of n**4/2 - n**3/3 + 11*n**2 + 16*n - 47. What is the tens digit of o(8)?
5
Let h = 291 + -305. Suppose -r + 3*s + 4 = -8, 15 = 4*r - s. What is the units digit of (-302)/h*r - 36/(-126)?
5
Let w = -344 + 374. What is the units digit of (-6892)/(-20) - 2*9/w?
4
Let l = 227 - 241. What is the units digit of 38/l + 3 - 9675/(-21)?
1
What is the units digit of (-6)/(-4)*38822/21?
3
Suppose -7*d + 50 = 3*d. Suppose d*l + 1235 = 4*o, -3*l + 819 - 196 = 2*o. Let t = 435 - o. What is the tens digit of t?
2
What is the units digit of 198310/22 + 4980/(-4565)?
3
What is the thousands digit of 346759/(-3)*(-276)/644?
9
Let j(o) = -177*o + 2045. What is the tens digit of j(-75)?
2
What is the hundreds digit of (1/10*-12)/((-86)/3972125)?
4
Let h = -8544 + 15204. What is the hundreds digit of h?
6
Suppose 5*w + 3*q = -30, 5*q - 4 = 5*w - 14. Let f = 16 - 10. Let v = f - w. What is the units digit of v?
9
Let o = -13155 - -42790. What is the tens digit of o?
3
What is the thousands digit of (-12)/4 - -15 - -1572?
1
Let f be ((-24)/15*-2)/((-5)/(-50)). Let s = f + -31. What is the tens digit of 57*s + 0 - (-12 - -9)?
6
What is the ten thousands digit of 4/6*(-713262)/88*-4?
2
Let p(t) = 71*t**2 + t - 75. Let d(l) = -25* | {
"pile_set_name": "DM Mathematics"
} |
83 or 9311?
9283
Is -33844 bigger than -67689/2?
True
Which is greater: -4418 or 12/11?
12/11
Is 539994/11 equal to 49091?
False
Is -0.2 less than or equal to -3627/59?
False
Does 1420 = 1419?
False
Which is greater: 22425 or 67274/3?
22425
Which is bigger: -27 or 1163?
1163
Which is greater: 21042 or 105206/5?
21042
Which is bigger: 1 or 5/266672?
1
Are -58.7 and 0.12 nonequal?
True
Is -19.89283 equal to -1?
False
Are -617 and -42658/69 non-equal?
True
Which is smaller: 3/364640 or 1?
3/364640
Which is smaller: 0 or -2/73683?
-2/73683
Which is smaller: -40369 or -2/3?
-40369
Which is greater: -1809.3 or 14/3?
14/3
Which is smaller: 11703 or 11696?
11696
Is 0 greater than 56/57?
False
Is 5613 bigger than 5622?
False
Is -5400 smaller than -2?
True
Does -1 = -90/10919?
False
Is 1/43 bigger than -4988?
True
Which is greater: 1 or -618.8905?
1
Which is smaller: 11/46778 or 1?
11/46778
Which is greater: 11880 or -6/19?
11880
Is 132979 <= 132980?
True
Is -0.00383 > -11?
True
Is 1 less than 2/419103?
False
Is -4664 <= 0.156?
True
Is -29934 greater than -29934?
False
Which is smaller: -20704 or -41405/2?
-20704
Is -3411 greater than -3410?
False
Is -2269 less than or equal to -5?
True
Is 604 at least 1607?
False
Is -257.3531 bigger than -0.1?
False
Is 36.3495 equal to -13?
False
Which is bigger: -137356/3 or -45785?
-45785
Which is smaller: -67896 or -67885?
-67896
Is -172 less than or equal to -3643/21?
False
Which is greater: -30455 or 41?
41
Is 2/275 > 44.6?
False
Is 1023 > 1023?
False
Is 2433 equal to 2439?
False
Which is smaller: -1615661 or -1615662?
-1615662
Do 35 and -70/17 have the same value?
False
Which is bigger: 6424 or 5952?
6424
Is 0.1 greater than 23/221?
False
Is 56016 at least 1?
True
Which is smaller: -1/933 or -1872/5?
-1872/5
Which is bigger: 5 or -121/19?
5
Which is smaller: 4/1869 or -1?
-1
Which is greater: 5/93637 or 0?
5/93637
Is 1434 smaller than 1418?
False
Is 113/14 bigger than -0.52?
True
Which is greater: -70/2059 or 0?
0
Is -63814 at most -63821?
False
Is -594 greater than or equal to -636?
True
Which is smaller: 0 or 3/10318876?
0
Does -22743 = -22747?
False
Which is smaller: 16629 or 16694?
16629
Which is smaller: -3/2414 or 0?
-3/2414
Is -190864/5 less than -38174?
False
Is 218 greater than or equal to -164?
True
Which is smaller: 1/2 or 30063?
1/2
Which is greater: 43151 or 43148?
43151
Does 43 = 106.5?
False
Is 9 greater than 1097/126?
True
Do -94/16481 and -1 have different values?
True
Is 61156 > 61150?
True
Are -2108 and -153 non-equal?
True
Which is greater: 1 or -1/8076?
1
Is 48 at most as big as -1734?
False
Is 76/5233 bigger than -1?
True
Which is greater: -381 or -380?
-380
Which is greater: -22/207113 or 0.2?
0.2
Is -40081 > -40076?
False
Is -42316/313 bigger than -135?
False
Which is greater: 1 or -10/19343?
1
Which is greater: -314866 or -314862?
-314862
Which is bigger: -817 or -787?
-787
Which is smaller: -2/13 or 218?
-2/13
Which is bigger: -59/2224 or -1?
-59/2224
Is -3586 >= -96790/27?
False
Which is bigger: 3/743371 or -1?
3/743371
Which is smaller: -6/9287 or -1?
-1
Is -125658 bigger than 25/4?
False
Are -1 and 5370 non-equal?
True
Is -121725/4 equal to -30432?
False
Which is greater: 755 or -183?
755
Which is smaller: -1539 or 3.5?
-1539
Which is bigger: 6193 or 6011?
6193
Are -8/111675 and -1 unequal?
True
Which is bigger: -2536 or -1294?
-1294
Which is greater: 226 or 204?
226
Which is smaller: 130601/5 or 26119?
26119
Which is smaller: -801/247 or -2?
-801/247
Which is smaller: 1721190 or 1721191?
1721190
Which is smaller: 111757/3 or 37251?
37251
Which is smaller: 3/1132681 or 1?
3/1132681
Which is smaller: -1/285317 or -1?
-1
Is -0.139 not equal to 2.99?
True
Are -3/989 and -2 equal?
False
Which is smaller: -7061 or -7058?
-7061
Is -65215 <= -65229?
False
Which is greater: -1 or -10053?
-1
Which is smaller: 11981 or 11982?
11981
Is -1/296092 at most as big as 0?
True
Which is greater: 58130 or 0.1?
58130
Which is smaller: 241/316 or 1?
241/316
Are 26 and -15453 nonequal?
True
Which is greater: -2/1003 or 0.2?
0.2
Does 392 = 1444?
False
Is 2519492 greater than or equal to 0.1?
True
Which is smaller: 1 or -9/63233?
-9/63233
Are 85861/8 and 10734 non-equal?
True
Are 10630 and -1 nonequal?
True
Which is smaller: 39579 or 39571?
39571
Which is greater: 5852 or 5846?
5852
Which is bigger: 56 or 2947/54?
56
Which is smaller: 10/247443 or 0?
0
Which is smaller: 2/908481 or 1?
2/908481
Is -216 < -865/4?
False
Is -2683/49 < -54?
True
Which is greater: 1 or 3/175171?
1
Is -399 equal to 236?
False
Which is bigger: 24725 or 24742?
24742
Is -2/3 smaller than -1078489?
False
Is 0 equal to 79/600?
False
Is 2635 not equal to 2634?
True
Which is bigger: 51467/31 or 1660?
51467/31
Is 487039 bigger than 487039?
False
Is 20369/5 smaller than 0.2?
False
Is 82596 not equal to 2/11?
True
Which is smaller: -269/529 or -2?
-2
Which is bigger: -4 or -2230/779?
-2230/779
Is -57 < 32.18?
True
Is 324 less than or equal to 222?
False
Is 186 less than 5769/31?
True
Is 41332 at least as big as 41332?
True
Which is smaller: -210/3817 or -2?
-2
Which is greater: 1/872221 or -0.1?
1/872221
Is -3546 at most -3495?
True
Is 0.03 at most as big as 1047/209?
True
Which is smaller: 12575 or 12576?
12575
Is -7 >= 32519?
False
Is 1 greater than -3/314296?
True
Is 26504 greater than -6?
True
Which is smaller: -78196 or -78195?
-78196
Are -9/1188071 and -1 unequal?
True
Is 0 greater than -5/1692?
True
Is 42151 greater than or equal to 42151?
True
Is -2/103211 != 0.07?
True
Which is greater: -4181 or -4199?
-4181
Which is smaller: -1283230 or -8982620/7?
-8982620/7
Which is bigger: 19706 or 19717?
19717
Is 3/4036 not equal to -1.9?
True
Which is smaller: 151 or 19634/129?
151
Is -389107 less than -389100?
True
Is 131497 equal to 131497?
True
Is 2961113 <= 2961113?
True
Is 1 <= -1/843331?
False
Which is bigger: 25 or 10942?
10942
Which is smaller: 5/9 or 2339?
5/9
Which is bigger: 0 or -1/1141334?
0
Is -0.4 at least as big as -7010/7?
True
Which is smaller: -3063 or 0.1?
-3063
Which is greater: 4073 or 4102?
4102
Are -147/206 and -2/11 non-equal?
True
Is -1/5 at most as big as 26/1011?
True
Which is bigger: -2 or -0.89961?
-0.89961
Is 31078 > 31072?
True
Which is smaller: 2031 or 2071?
2031
Which is smaller: -116 or 1306/7?
-116
Which is bigger: -11960 or -1/8?
-1/8
Is -191948 > -191946?
False
Which is bigger: -15 or -1/206?
-1/206
Which is greater: -14100 or -14097?
-14097
Is -146696 bigger than -146694?
False
Which is greater: 0.18334 or -0.054?
0.18334
Which is bigger: 856893 or 856898?
856898
Which is smaller: 1864 or -224?
-224
Is -1 < 231/8849?
True
Is 2/63 < 22.6?
True
Is 59/432 >= 0?
True
Is -1344 at most -1344?
True
Are -548 and -11 equal?
False
Which is greater: -312 or -311?
-311
Which is smaller: -3066 or -2947?
-3066
Which is greater: 5 or 11990?
11990
Which is bigger: 6417/25 or 256?
6417/25
Which is smaller: -775 or -1476?
-1476
Do -1554 and -32 have different values?
True
Which is smaller: 148606/5 or 29721?
29721
Which is smaller: -34039/4 or -8509?
-34039/4
Is -626 < -5.8?
True
Is -1464 at most -765?
True
Are 12980/13 and 997 non-equal?
True
Which is greater: -807 or -92916/115?
-807
Which is greater: 12 or 877?
877
Is -3 < 2791.04?
True
Which is smaller: 27780 or 305593/11?
27780
Is 219219 greater than or equal to 219219?
True
Is 163159 less than or equal to 163159?
True
Which is smaller: 120319 or -3?
-3
Is -10 bigger than 19881?
False
Which is smaller: -149/1236 or 1?
-149/1236
Is -29793 at most -59587/2?
False
Is 1/159767 bigger than 1?
False
Is 58858 <= 58833?
False
Is 1 at least 49/38606?
True
Which is greater: -363109 or -363110?
-363109
Which is smaller: -0.258 or -18?
-18
Which is bigger: -364472 or -364469?
-364469
Is 1283 >= 37206/29?
True
Is 373632 less than 373632?
False
Does -489/2 = -3/472?
False
Which is greater: 15110 or 15114?
15114
Which is smaller: 0 or 1/441306?
0
Is 381122 at most 381124?
True
Which is bigger: 13272 or 13276?
13276
Which is greater: 1/1809 or -36?
1/1809
Is -496 < -113464/229?
True
Is -395945 bigger than -395944?
False
Is 0 >= 22/32207?
False
Which is bigger: 17.9 or -36/13?
17.9
Which is bigger: 1652443 or 1652441?
1652443
Is -1 at most as big as 5/565032?
True
Which is smalle | {
"pile_set_name": "DM Mathematics"
} |
f) - 4*x(f). Suppose -3 - 2 = -5*h. What are the prime factors of w(h)?
2
Let z = -20 - -10. What are the prime factors of ((-12)/10)/(1/z)?
2, 3
Let x(b) = b**3 + 7*b**2 + 6*b - 2. Let y be x(-6). List the prime factors of 3 + 0*y/6.
3
Suppose -f + 2*m = -2*f - 8, -3*m - 6 = 0. Let p = f + 8. What are the prime factors of p?
2
Let i(l) = -l**2 - 5*l + 2. Let d be i(-5). Suppose d*h = -c + 1, -5*c - 4*h + 0*h = -35. List the prime factors of c.
11
Let d = -2 - -6. Suppose 0 = d*r + r - 5. Suppose -5*m = 3*v - r, 1 - 2 = -2*v - 3*m. What are the prime factors of v?
2
Let j(f) = 2*f**2 + 2*f - 4. Let d be j(3). What are the prime factors of d - ((-1 - -1) + 0)?
2, 5
Suppose -23 = -3*w - 4*x + 75, -x = 4. What are the prime factors of w?
2, 19
Let z be (-15)/(-10) - 1/(-2). What are the prime factors of ((-1)/(-1))/(z/22)?
11
Let t = 9 + -27. Let r = 23 + t. What are the prime factors of r?
5
Let i(u) = -u**2 + 6*u - 3. Let z be i(5). Suppose 0 = -c - z*c + 66. List the prime factors of c.
2, 11
Let w = 214 + -40. List the prime factors of w.
2, 3, 29
Let m be 4/(-18) + (-616)/(-18). Suppose 6 = 4*v - m. What are the prime factors of v?
2, 5
Let b(z) = -z**2 - 7*z - 6. List the prime factors of b(-4).
2, 3
Suppose 4*n + 8 = 2*n, 4*n + 14 = o. Suppose -3*h = -0 - 3. Let j = h - o. List the prime factors of j.
3
Let f be ((-4)/(-5))/((-1)/(-5)). Suppose -f*l + l - 21 = -3*t, 4*t = 3*l + 20. Let s = -5 - l. What are the prime factors of s?
3
Suppose -g + 330 = 4*g. List the prime factors of g.
2, 3, 11
Let b be 3/(-9)*-3 - -21. Suppose 0 = 5*c + 7 - b. Suppose c*d + 6 - 15 = 0. List the prime factors of d.
3
Let p(v) be the second derivative of v**6/360 + v**5/20 + 7*v**4/24 - v**3/6 + 2*v. Let c(y) be the second derivative of p(y). List the prime factors of c(-6).
7
What are the prime factors of (78/(-15))/((-4)/10)?
13
Let k(h) = -9*h - 43. List the prime factors of k(-5).
2
Let q(c) = 3*c + 4. Let n be q(6). Suppose 38 = 3*x - n. What are the prime factors of x?
2, 5
Let w(k) = 4*k**2 - k + 1 - 2*k**2 + 0 - k**2. List the prime factors of w(2).
3
Suppose -a = -6*a + 55. Let t = 6 - a. Let x = t - -11. What are the prime factors of x?
2, 3
Suppose 0 = -2*h - 2*h + 8. Suppose -h*m = -5*r - 16, -4*r = m - 29 + 8. What are the prime factors of m?
13
Let c be (2/(-4))/(2/(-4)). Let o be c*19 + 3 + -4. Let k = o + -7. List the prime factors of k.
11
Let c be (-1 - -5)*(-2)/(-4). Suppose -n = 3*o + c*o - 30, 25 = 5*n. Suppose o*s - 36 = s. What are the prime factors of s?
3
Let t(z) = 6*z + 8. Let o(i) = 2*i + 3. Let j(a) = -11*o(a) + 4*t(a). What are the prime factors of j(6)?
11
Suppose -5*w + y + 3*y + 150 = 0, -2*y + 112 = 3*w. What are the prime factors of w?
2, 17
Let b = 6 - 4. Suppose w - 19 = -b*a, -3*w - 5*a + 11 + 46 = 0. What are the prime factors of w?
19
Let m be 4/(-8) - (-23)/2. Let d(w) = w**2 - 9*w - 3. List the prime factors of d(m).
19
Let n be 228/5 - 2/(-5). Suppose s = -s + n. Suppose -2*d + s = -5*y, 7*y - 3*y = -5*d + 41. List the prime factors of d.
3
Let j = 16 - -44. Suppose -3*u = -0*u + j. List the prime factors of u/6*3*-1.
2, 5
Let q(s) = s**3 - s**2 + s + 1. Let r be q(0). Let l(k) = 11*k**2. What are the prime factors of l(r)?
11
Suppose 0 = -3*u - 2*p - 1 + 77, -p = -5*u + 118. What are the prime factors of u?
2, 3
Suppose 3*w - 7 = 26. What are the prime factors of w?
11
Let k = 12 + -7. Suppose k = x + 5*a, -2*x + 1 - 6 = 5*a. Let j(w) = w**2 + 9*w. What are the prime factors of j(x)?
2, 5
Suppose 4*z - 27 = -3*t, 3*t - 23 + 2 = -2*z. Let n(y) = -y**2 + 6*y + 3. List the prime factors of n(t).
2
Suppose 5*f = 10, -6*d - 5*f + 18 = -2*d. List the prime factors of d.
2
Let j(d) = -5*d**3 - 4*d - 1. List the prime factors of j(-3).
2, 73
Let y = 24 + 3. What are the prime factors of y?
3
Let l be (-2)/7 + 30/7. Suppose l*g - g = 39. What are the prime factors of g?
13
Suppose 7*a - 91 = 112. What are the prime factors of a?
29
Suppose -152 = -2*z - 18. Let h = -48 + z. Suppose -2*x + h = -5. What are the prime factors of x?
2, 3
Let f(o) = o**2 + 4. Let d be f(0). Suppose d*q - 8 - 28 = 0. List the prime factors of q.
3
Let m(j) = -3*j**3 - j + 16 + 2*j**3 + 2*j. What are the prime factors of m(0)?
2
Let q(s) = 32*s - 14. List the prime factors of q(4).
2, 3, 19
Suppose -5*u = -7*u + 40. List the prime factors of u.
2, 5
Suppose y - 2*y = -2. Suppose y*h - 18 = -4*n, -1 - 9 = -4*h + 5*n. What are the prime factors of h*(6/10 + 1)?
2
Let f(g) = g**2 - 5*g + 1. Suppose 0 = -0*p - 3*p + 18. Let c be f(p). Suppose 24 = 4*o - 4*a, 0 = o + o - 3*a - c. List the prime factors of o.
11
Let l(c) = -3*c + 37. What are the prime factors of l(9)?
2, 5
Let w(m) = -m + 1. Let i(r) = 2*r - 7. Let b(a) = i(a) + 4*w(a). What are the prime factors of b(-7)?
11
Suppose -48 = 4*d + 20. Let l = -10 - d. What are the prime factors of l?
7
Let c(d) = d**3 - 8 - d + 2 - 7*d**2 + 2. Let k be c(7). Let o = k - -21. List the prime factors of o.
2, 5
Let i(a) = a**2 + 4*a - 3. Let j = 15 - 21. List the prime factors of i(j).
3
Suppose 5*j - 224 + 67 = -3*s, 0 = 2*s + 3*j - 103. Suppose -2*m + s = -5*a, 4*m - 3*a = 3*m + 24. What are the prime factors of m?
2, 3
Let x(y) = -4 + 2 + 2*y**3 - 3*y**2 + 0*y**3 + 4*y - y**2. Let p(o) = o - 1. Let v be p(3). What are the prime factors of x(v)?
2, 3
Let l be 15/1*14/21. What are the prime factors of l/6 - 1/(-3)?
2
Let t(p) = p**2 - 2*p - 6. Let c be (3 - 8)*6/(-5). Let v be t(c). List the prime factors of (0 + 4)/(4/v).
2, 3
Suppose 0*a + 8 = 2*a. Suppose a*n - 36 = -2*v, 3*v + 3*n = 30 + 12. List the prime factors of v.
2, 5
Let c(p) = -5*p**3 + 2*p + 3. List the prime factors of c(-2).
3, 13
Let h = 5 - -18. List the prime factors of h.
23
Let h(q) = q**2 - 7*q + 8. Let m be h(7). Suppose -2*l = -4*p + p + m, -22 = -3*p - 5*l. What are the prime factors of p?
2
Let m = 46 - -10. List the prime factors of m.
2, 7
Let g = 5 - 3. Suppose r + 0*r + m - 19 = 0, 0 = -g*r - 4*m + 32. What are the prime factors of r?
2, 11
List the prime factors of (-3 + 8)*(-2 + 342/15).
2, 13
Let n(y) = -y**3 - y**2 - y - 6. Suppose -2*l = -t + 4, 5*t - 10 = -0*t + 5*l. Let f be n(t). Let j = f + 16. List the prime factors of j.
2, 5
Suppose 2*u = -3*p + 6*u + 131, 0 = p + 3*u - 48. List the prime factors of p.
3, 5
Let j = 3 + 0. Suppose -5*n - 5*m + 35 = 0, 3*n - 4*m = -j*m + 1. What are the prime factors of n?
2
List the prime factors of 3 + (-378 - -2)/(-4).
97
Suppose -2*o = -2*b - 0 - 44, 4*b + o = -98. Let s = b - -17. Let d = 16 + s. What are the prime factors of d?
3
Suppose -4 + 27 = c. Suppose -t + c = -7. What are the prime factors of t?
2, 3, 5
Suppose -2*d + 9 = -4*d - 3*r, 3*d = 4*r - 5. List the prime factors of d/(-3 - (-20)/7).
3, 7
Let d(a) = -a**3 - 14*a**2 - 13*a. Let p be d(-13). Suppose -2*g = m - 17, -m + p*g = g - 13. What are the prime factors of m?
3
Suppose 2*f + 2*f - 2*b - 16 = 0, f - 4*b = 18. Let n(k) = k**3 - 2*k + 2*k**2 - f*k**3 + 2*k**3. What are the prime factors of n(2)?
2, 3
Suppose -20*m = -13*m - 1442. List the prime factors of m.
2, 103
Let z = -135 - -235. What are the prime factors of z?
2, 5
Let a(c) = c**2 + 6*c + 8. Let y be a(6). Suppose -5*i = -x + 5*x - y, 2*i + 133 = 5*x. List the prime factors of x.
5
List the prime factors of (15/(-4))/((-14)/1008).
2, 3, 5
Let l be 14/35 - 8/(-5). Suppose 80 = 3*b + l*b. List the prime factors of b.
2
Let k = 2 + -1. Let v be 10/(k + 1 + 0). Suppose 2*w = v*w - 30. List the prime factors of w.
2, 5
List the prime factors of 0 + (-4*11)/(-1).
2, 11
Suppose 0*q - 164 = -4*x - q, 0 = -x - 5*q + 41. What are the prime factors of x?
41
Let j(c) = c. Let g be j(6). Let z(h) = -h**2 + 2*h + 5. Let v be z(4). Let o = v + g. What are the prime factors of o?
3
Let j(q) = -q**3 - 7*q**2 - 4*q + 4. Let d be j(-6). List the prime factors of (-200)/d + (1 - 3).
23
Let h(l) = -2*l + 6. Let b(p) = -3*p + 11. Let x(d) = 3*b(d) - 5*h(d). Let k be x(-3). Suppose 4*z - 20 = -k*z. What are the prime factors of z?
5
Suppose -65 = -w + 10. What are the prime factors of w?
3, 5
Let d(g) = -5*g - 9. What are the prime factors of d(-7)?
2, 13
Suppose -n - n = 3*d + 1, -3*n = 5*d. List the prime factors of d.
3
Suppose 8 - 20 = -4*m. Let d(p) = -p**2 + p + 2. | {
"pile_set_name": "DM Mathematics"
} |
65 + -0.06. Let v = h + -0.49. Let c = -0.2 + 0.4. Put v, 3, c in increasing order.
v, c, 3
Let m = 124 - 141. Sort m, 3, 1/4, -0.1 in increasing order.
m, -0.1, 1/4, 3
Let l = 270.3 - 288. Let q = -17 - l. Put q, 2, -0.2 in descending order.
2, q, -0.2
Suppose 4*q = 5*u - q - 40, 4*u - 3*q = 37. Suppose -n + 8 = -4*p, 0*p + 3*n = p + u. Put 4, -9, p in decreasing order.
4, p, -9
Let s = -2511/5 + 502. Sort s, -5, 5/3, 4/3 in descending order.
5/3, 4/3, s, -5
Let c(g) = -g**3 - 7*g**2 + 3. Let m be c(-7). Let a = 16 + -31.5. Let o = -16 - a. Put o, 4, m in decreasing order.
4, m, o
Suppose -2*i + 2*f = 5*f - 10, 3*f = -5*i + 16. Put -4, 4, i in descending order.
4, i, -4
Let o be (-1)/3 + ((-364)/105)/(-26). Put -16/3, o, 2/5, 2 in descending order.
2, 2/5, o, -16/3
Let b be (48/(-5))/(6/(-40)). Suppose b = -8*u - 8*u. Sort -2, 3, u.
u, -2, 3
Let n = -0.4181 + 0.6181. Let w = 7 + -5. Sort -4, w, -2/11, n in decreasing order.
w, n, -2/11, -4
Let p = -340 + 335. Put 0, 5, -2, p in ascending order.
p, -2, 0, 5
Let s = -2145/2 + 1072. Let u = 0.06 + 0.94. Sort 1/4, u, s in increasing order.
s, 1/4, u
Let i = 28.15 + -29. Let w = -0.55 - i. Put w, 1, -4 in descending order.
1, w, -4
Let k be 2*(-7 + 5 + 4). Sort k, -2, 15 in descending order.
15, k, -2
Let o = 6 + -6.3. Suppose 2*h - 4 = -3*q, -5*q = -11*h + 10*h + 2. Sort o, q, -0.7, -4 in ascending order.
-4, -0.7, o, q
Let k = -274 + 279. Put -4, -0.12, k, 0.5 in decreasing order.
k, 0.5, -0.12, -4
Let c = -460 - -462. Suppose -18 = -2*u - 2*v, -20 = -2*u + 2*v - 2. Put c, u, -1 in increasing order.
-1, c, u
Let c = -173 - -176. Sort -0.2, -5, c in descending order.
c, -0.2, -5
Let b = -14 - -14.23. Let s = -1.23 + b. Sort s, -0.3, -0.1 in descending order.
-0.1, -0.3, s
Suppose 2*z + 4*g + 0*g - 68 = 0, 5*z - 4*g = 156. Let r be 37/(-8510)*-46 - (1/5 + 0). Sort -2, z, r, 3.
-2, r, 3, z
Let m = 54.1 - 60. Let o = 2 - -4. Let b = m + o. Sort -0.5, b, 0.2 in descending order.
0.2, b, -0.5
Suppose 0 = -2*k - 5*p - 9, 0*p = p + 3. Let v(t) = -2*t - 6. Let a be v(-6). Let c be (4 - a) + (5 - 2). Sort -3, k, c in decreasing order.
k, c, -3
Let l(g) = -g**3 - 5*g**2 - 4*g - 4. Let o be l(-4). Let u be 52*2/28 + o. Let q = -1 - -1. Put u, 2, q in ascending order.
u, q, 2
Let f = 2579/7 + -369. Sort -0.21, -5, f in descending order.
-0.21, f, -5
Let k(j) = -2*j - 13. Let y be -6*(-2 + (-21)/(-6)). Let m be k(y). Sort 0.5, 0.4, m in decreasing order.
m, 0.5, 0.4
Suppose -7*t + 84 = 14. Suppose 4*h + t + 2 = 0. Put h, -5, -1 in decreasing order.
-1, h, -5
Let t be (-72)/39 - (-6)/(-39). Let g(o) = o**3 + 6*o**2 + 4*o. Let w be 5*(-3 - -4)*-1. Let b be g(w). Put b, t, 0 in ascending order.
t, 0, b
Suppose 2*l + 4 = 5*l - 2*z, 4*l = -5*z + 13. Let v be (3 + -3)/l - -5. Sort v, -4, -6.
-6, -4, v
Let t = 1.4 + -3.8. Let j = -5365 + 5361. Put t, 0, j in ascending order.
j, t, 0
Let j(d) = d - 3. Suppose -6 = -2*w - 2. Let b be j(w). Put -2, b, 0 in decreasing order.
0, b, -2
Let d = -0.151 - -3.151. Put -4, -3, -8/3, d in decreasing order.
d, -8/3, -3, -4
Let u be -2 + (-4 - (7 - 1)). Let z be 2/u*(-24)/9. Put -24, 5, z in decreasing order.
5, z, -24
Let a(x) = -x**3 - 2*x**2 + x. Let f be a(-2). Let b be (-36)/(-8) - f/(-4). Let i be b/(-5) + 2/(-10). Put i, 3, -2 in descending order.
3, i, -2
Let v be 4/10 - (-799)/(-235). Put 2, 33, v in increasing order.
v, 2, 33
Let m = -2 - -5. Suppose -i + 5*i = 4, g = m*i + 2. Suppose 9*y + 2*y = -55. Put g, y, -4 in decreasing order.
g, -4, y
Let o = -34 + 34.1. Let l = -0.17 - -0.13. Let a = l - 1.96. Sort o, a, 5 in increasing order.
a, o, 5
Let c = -1708 + 1705. Sort 34, c, -14 in ascending order.
-14, c, 34
Let h be (0 - 1) + 12/(-12). Let c be (5 + -7)/(h/4). Sort c, 5, 2 in descending order.
5, c, 2
Let h = 1017 + -1010. Sort -1, 1.3, h, 0.1.
-1, 0.1, 1.3, h
Suppose -5*i = -o - 10, -o + 0*i + 3*i - 4 = 0. Let u(d) = -d**3 + 5*d**2 + 2*d - 7. Let r be u(o). Let b = -4 + 1. Put b, -1, r in ascending order.
b, -1, r
Let m be 58/(-1)*-1*(3 + -6). Let j = -2964/17 - m. Sort -2/7, -3, j in decreasing order.
-2/7, j, -3
Let p = -23.3 - -27.3. Put 78, 2/5, p in increasing order.
2/5, p, 78
Let d = -0.97 + 1.069. Let j = d - 3.099. Let x = -5.2 - -0.2. Sort 2, j, x in increasing order.
x, j, 2
Let a = 4 - 9. Let h = -42 + 50. Let z be h/42 + 6/42. Put -0.8, a, z in ascending order.
a, -0.8, z
Let m be (-11)/(-14) + 0 + (-2)/4. Let y = -314 + 315.79. Let f = y - -0.21. Sort f, m, -0.4.
-0.4, m, f
Let t(q) = 2*q - 26. Let c be t(11). Let n be (c - (-118)/28)*2. Put 4, -1.8, n in increasing order.
-1.8, n, 4
Let o(g) = -g**2 + 2. Let u be o(2). Let b be (-12)/(2 - u) - -5. Suppose -b*i = -0*i - 2. Sort -5, i, -4.
-5, -4, i
Let q be 1/(-10)*2 + (-128)/(-40). Suppose -q*s = -z + s - 21, -2*s + 33 = -3*z. Sort -1, z, -2 in decreasing order.
-1, -2, z
Suppose 365*y - 368*y + 12 = 0. Let a(c) = c**2 + 4*c + 1. Let x be a(-5). Let b = x - 9. Sort 0, y, b in ascending order.
b, 0, y
Let r = 14.82 + -15. Let u = -0.3 - r. Let d = 0.08 - u. Sort d, -1/5, 2/7 in descending order.
2/7, d, -1/5
Let k(w) = -6*w + 55. Let i be k(10). Put i, 4, 3 in ascending order.
i, 3, 4
Let f be (-6)/((-5)/((-30)/(-9))). Suppose 3*t + 19 = 4*a, -4*a + 34 = 2*t - 0*t. Suppose -f + a = -3*p. Put p, 0, 4 in increasing order.
p, 0, 4
Let b = -223 + 224. Let h = 0.04 + 0.26. Put h, b, 2, -4 in descending order.
2, b, h, -4
Let b be (2/5)/((-8)/(88 - 8)). Sort -2, b, -30, -1 in increasing order.
-30, b, -2, -1
Let w be (-2 + -6 - -6) + (-10)/(-3). Sort w, 2/7, 2/15, -4 in increasing order.
-4, 2/15, 2/7, w
Let s = -439/138 - 61/23. Let q = -163/30 - s. Let m = 5/6 - 1/2. Put q, m, -3 in decreasing order.
q, m, -3
Let b = -11 - -16. Let a be 20/16*(9 - 1). Suppose 0 = 8*y - 10 + a. Put y, 2, b in ascending order.
y, 2, b
Let u = 84 + -58. Let v = u - 25.7. Let b be 2/(-8)*(-16)/14. Sort 5, v, b in descending order.
5, v, b
Let q = 5 - 9. Suppose -2*p + 2*k = 7*k - 11, -3 = 3*k. Let y be p - (4 + -2 - -1). Put 2, q, y in decreasing order.
y, 2, q
Let m(c) = -c**3 + 6*c**2 - 2*c + 9. Let j be m(6). Let s = -1094 + 1093. Sort j, 4, s.
j, s, 4
Let b = 16 - 15.769. Let n = b + -9.931. Let a = -10 - n. Put -2/3, a, -3 in decreasing order.
a, -2/3, -3
Let m be (124/12 + -10)*-27. Sort -4, m, -3, 7 in ascending order.
m, -4, -3, 7
Suppose -2*j = 3*a - 40, 15*j = 16*j - 4*a + 2. Sort j, -14, -1.
-14, -1, j
Let j = -1.65 + 2.3. Let s = j - -0.35. Sort s, 0.5, -2, -5 in increasing order.
-5, -2, 0.5, s
Suppose 0 = b - 5*b + 40. Let y = b + -2. Let c be (-12)/y + 5/2. Put c, -1, -3 in descending order.
c, -1, -3
Let w be 4/14 - 38/(-14). Let p = -63 + -24. Let n = p + 91. Sort w, 7, n in descending order.
7, n, w
Let u(p) = -11*p. Let f be u(-7). Let z = -76 + f. Suppose -5*l - 5*n = -45, -l + 3*n - 7 = l. Sort l, z, -1 in decreasing order.
l, z, -1
Let b(x) = -3*x**2 - 4*x + 4. Let i be b(-4). Let o = -35 + i. Let h be 3/21 + (-5)/o. Put h, -5, 0.4 in descending order.
0.4, h, -5
Suppose -5*z + 25*l = 22*l - 15, 0 = 5*z - 4*l - 15. Suppose -f = -2*f. Let y be 0/4 + f + 0. Put y, -3, z in ascending order.
-3, y, z
Suppose 3*j = -0*j. Let p = 33 + -37. Let a = 2.7 - 2.59. Sort p, j, a.
p, j, a
Let l = -61 + 74. Let c = -25 + 29. Put l, -5, c in descending order.
l, c, -5
Let l(d) be the third derivative of d**5/60 + d**4/8 - 2*d**3/3 - 2*d**2. Suppose -7*i = -2*i + 15. Let x be l(i). Put x, 3, 1 in decreasing order.
3, 1, x
Let z = 186 + -186.1. Put -8, z, -3/7, 0 in descending order.
0, z, -3/7, -8
Let x = -1 - -1. Let k = -40 - -29. Let v = 12 + k. Sort v, -1/2, x in descending order.
v, x, -1/2
Let k = -3.5 - -6.5. Let m = -4 + 0. Sort 4, k, m in descending order.
4, k, m
Let y be (6/132)/(6/1032) - 8. Sort 1/98, -4/7, y in decreasing order.
1/98, y, -4/7
Let z be 7*(-24)/(-126)*(-2)/(-4). Let a = -2.13 - -0.13. Sort a, z, 0.16 in decreasing order.
z, 0.16, a
Let i = 11.9455 + 0.1245. Let d = i + -12.1. Sort 2/5, d, -1/7 in decreasing order.
2/5, d, -1/7
Let k = -1 - -2. Suppose -2*v + 14 - 8 = 0. Let p be 14/(-2) + v + 7. Sort p, k, -3 in ascending order.
-3, k, p
Let i be (-5 - 1)*1/(-2). Suppose 4*x = -b + 6, b - 12 = i*b - 4*x. Sort b, 2, 1.
b, 1, 2
Suppose 0 = v - c - 5, -4*v + 18 - 10 = 2*c. Let i(p) = p**2 | {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from {l: 2, g: 4, v: 1, p: 1, a: 3}?
1/330
Three letters picked without replacement from llmbbllmbblb. Give prob of sequence mml.
1/132
Calculate prob of sequence fnf when three letters picked without replacement from {n: 6, f: 2}.
1/28
Four letters picked without replacement from azaaaaaazzazz. What is prob of sequence zaza?
28/429
Two letters picked without replacement from mmxgmkgmuxuumgxmxgxg. Give prob of sequence ku.
3/380
Calculate prob of sequence fbg when three letters picked without replacement from {f: 13, b: 1, g: 1}.
1/210
Three letters picked without replacement from mmns. Give prob of sequence mns.
1/12
Three letters picked without replacement from xpnoionpibpboi. Give prob of sequence ixi.
1/364
Calculate prob of sequence cuuu when four letters picked without replacement from cccuccuu.
1/56
Three letters picked without replacement from qcqqsqoqqooqqoqqo. Give prob of sequence sqq.
3/136
Three letters picked without replacement from {x: 10}. Give prob of sequence xxx.
1
Three letters picked without replacement from {k: 1, i: 2, n: 1, z: 1, h: 1, r: 1}. What is prob of sequence kiz?
1/105
Three letters picked without replacement from {m: 3, y: 3}. What is prob of sequence ymm?
3/20
What is prob of sequence jj when two letters picked without replacement from ggjxmggjggrjmjjjjjjg?
18/95
Four letters picked without replacement from mvgvsggmgmmmpp. What is prob of sequence vsvm?
5/12012
Three letters picked without replacement from wcdwdp. What is prob of sequence dcp?
1/60
What is prob of sequence sw when two letters picked without replacement from jwsyyjyclyljycl?
1/210
Calculate prob of sequence qf when two letters picked without replacement from {m: 2, f: 1, q: 3, r: 4, w: 1}.
3/110
Three letters picked without replacement from yiii. What is prob of sequence iii?
1/4
What is prob of sequence rg when two letters picked without replacement from ugpoupgogrhh?
1/44
Calculate prob of sequence zszs when four letters picked without replacement from zzzzzss.
1/21
Calculate prob of sequence tc when two letters picked without replacement from {b: 3, r: 7, c: 7, t: 3}.
21/380
Calculate prob of sequence prj when three letters picked without replacement from {r: 5, j: 5, d: 2, p: 3}.
5/182
What is prob of sequence dnnn when four letters picked without replacement from {n: 7, d: 1}?
1/8
Three letters picked without replacement from {l: 7, k: 2}. Give prob of sequence kll.
1/6
Three letters picked without replacement from xiwmfmmxm. What is prob of sequence xwm?
1/63
Two letters picked without replacement from {k: 2, v: 1, h: 1, u: 1, i: 2, g: 1}. Give prob of sequence hi.
1/28
Two letters picked without replacement from mjqqtdwwm. Give prob of sequence tw.
1/36
What is prob of sequence beje when four letters picked without replacement from bmettemtjm?
1/2520
What is prob of sequence gt when two letters picked without replacement from {g: 1, t: 4, c: 1, h: 6, o: 3}?
2/105
Three letters picked without replacement from {a: 2, t: 1, q: 7, f: 4, h: 1, k: 4}. Give prob of sequence fah.
4/2907
Four letters picked without replacement from penfnsesnnsessspn. What is prob of sequence efen?
1/1904
What is prob of sequence kvb when three letters picked without replacement from lbblkbbvlblubbllv?
7/2040
Three letters picked without replacement from pyyappap. What is prob of sequence pap?
1/14
Three letters picked without replacement from {z: 1, y: 2, l: 4}. Give prob of sequence zly.
4/105
Calculate prob of sequence vva when three letters picked without replacement from {v: 3, a: 3, l: 2, q: 1, y: 9}.
1/272
What is prob of sequence udv when three letters picked without replacement from {b: 1, u: 1, d: 1, w: 2, v: 1, c: 1}?
1/210
Calculate prob of sequence pti when three letters picked without replacement from itppt.
1/15
What is prob of sequence kr when two letters picked without replacement from {k: 4, r: 5, z: 8}?
5/68
Three letters picked without replacement from hhhhhphhhhp. What is prob of sequence hhp?
8/55
Three letters picked without replacement from {p: 7, x: 6}. Give prob of sequence xpx.
35/286
Calculate prob of sequence dnn when three letters picked without replacement from {n: 4, d: 2}.
1/5
What is prob of sequence rq when two letters picked without replacement from nnigqgr?
1/42
Calculate prob of sequence wu when two letters picked without replacement from hwhhuhphhhhuhh.
1/91
Two letters picked without replacement from {s: 1, c: 1, t: 2, h: 1, w: 1, g: 1}. What is prob of sequence st?
1/21
Three letters picked without replacement from {a: 2, y: 3, k: 1, j: 1}. Give prob of sequence jak.
1/105
What is prob of sequence fll when three letters picked without replacement from lllolldffdodolllf?
7/170
Two letters picked without replacement from {w: 2, a: 3, d: 1, h: 4, b: 2}. What is prob of sequence ww?
1/66
What is prob of sequence lppl when four letters picked without replacement from {l: 13, p: 6}?
65/1292
Three letters picked without replacement from {e: 1, x: 2, k: 2, c: 1}. What is prob of sequence exc?
1/60
What is prob of sequence cch when three letters picked without replacement from {m: 7, c: 6, h: 2}?
2/91
Two letters picked without replacement from deztsed. What is prob of sequence dd?
1/21
What is prob of sequence asz when three letters picked without replacement from {a: 1, o: 1, q: 2, z: 3, b: 4, s: 4}?
2/455
Three letters picked without replacement from {h: 5, q: 1, o: 6, x: 1, y: 1}. What is prob of sequence oxq?
1/364
Calculate prob of sequence kk when two letters picked without replacement from kkukukuuukku.
5/22
Three letters picked without replacement from {b: 6, s: 1, r: 8}. Give prob of sequence rrb.
8/65
Calculate prob of sequence xke when three letters picked without replacement from keuukeexuueuuxx.
4/455
Four letters picked without replacement from {j: 7, r: 1, v: 6, w: 3}. What is prob of sequence wrwj?
1/1360
Four letters picked without replacement from {o: 1, d: 1, y: 3}. Give prob of sequence yyod.
1/20
Calculate prob of sequence mx when two letters picked without replacement from mjvtvvxjxx.
1/30
Three letters picked without replacement from {t: 4, j: 1, f: 2, l: 1, n: 2}. Give prob of sequence nfj.
1/180
What is prob of sequence ohy when three letters picked without replacement from yoh?
1/6
Two letters picked without replacement from yyfhytf. Give prob of sequence fy.
1/7
What is prob of sequence xrd when three letters picked without replacement from dirrxirydyriiirrxr?
7/1224
Two letters picked without replacement from {a: 5, s: 4, l: 1, k: 3}. Give prob of sequence sl.
1/39
Two letters picked without replacement from {b: 4, q: 3, y: 6, k: 2, f: 3}. Give prob of sequence fk.
1/51
What is prob of sequence ul when two letters picked without replacement from {l: 1, u: 2}?
1/3
What is prob of sequence aut when three letters picked without replacement from amutwuy?
1/105
Four letters picked without replacement from {e: 6, o: 2, k: 7}. What is prob of sequence eoko?
1/390
Calculate prob of sequence zkz when three letters picked without replacement from kzzzkk.
3/20
What is prob of sequence mk when two letters picked without replacement from {m: 1, z: 1, y: 1, h: 1, k: 1}?
1/20
Three letters picked without replacement from {k: 3, v: 5}. What is prob of sequence kkv?
5/56
Calculate prob of sequence ifa when three letters picked without replacement from {h: 4, a: 4, i: 2, n: 1, f: 7, e: 2}.
7/855
Three letters picked without replacement from {a: 2, b: 6}. What is prob of sequence bab?
5/28
What is prob of sequence st when two letters picked without replacement from seeyjts?
1/21
What is prob of sequence tm when two letters picked without replacement from {t: 1, a: 1, o: 1, m: 2, y: 2}?
1/21
Three letters picked without replacement from {j: 7, a: 12}. What is prob of sequence jaa?
154/969
Two letters picked without replacement from nnnryooonyynyynn. What is prob of sequence yr?
1/48
Three letters picked without replacement from idduplw. What is prob of sequence wil?
1/210
Calculate prob of sequence uj when two letters picked without replacement from bujjpu.
2/15
Four letters picked without replacement from {f: 4, s: 1, d: 1, c: 3, l: 1, w: 4}. What is prob of sequence cwww?
3/1001
What | {
"pile_set_name": "DM Mathematics"
} |
ct to h.
-4*h*v**3 + 60*h
Differentiate -4995*j*n + 718*n wrt j.
-4995*n
What is the second derivative of 3*d**4*o - 43*d**4 - 24*d - o - 7 wrt d?
36*d**2*o - 516*d**2
What is the second derivative of 2*h*q**5 + 2*h*q*v + 7*h*q - 24*q**2*v wrt q?
40*h*q**3 - 48*v
What is the third derivative of 12*j**5 - 300*j**2 wrt j?
720*j**2
What is the derivative of -3*i**2*p**3*r - 2381*i**2 - i*p**3 + 134*p**2*r - p*r wrt r?
-3*i**2*p**3 + 134*p**2 - p
Find the third derivative of -a*o**2*w**3 + a*o**2*w**2 - 7*a*o*w**3 + 16*a*w**2 + o*w**2 - 8*w**3 wrt w.
-6*a*o**2 - 42*a*o - 48
What is the third derivative of -265*k*o**2*u**3 + 31*k*o**2*u + 4*k*o*u**3 + 2*k + 7*o**2*u**2 + u**3 - 5*u**2 wrt u?
-1590*k*o**2 + 24*k*o + 6
Find the first derivative of 6*i*q**2*w - 3*i*q**2 - 2*i*w**3 + 3*i*w - 4*i + 16*q**2 wrt w.
6*i*q**2 - 6*i*w**2 + 3*i
What is the second derivative of 1505*f**5 - 1345*f?
30100*f**3
Find the third derivative of 9*j**2*l**3 - j**2*l**2 + 98*j*l**2 + 12*l**5 - 6*l**4 wrt l.
54*j**2 + 720*l**2 - 144*l
Differentiate -2533*t**3 + 2761.
-7599*t**2
What is the third derivative of -2*b**3*k**5 - 90*b**3*k**4 - 2*b**3 + b*k**2 - 53 wrt k?
-120*b**3*k**2 - 2160*b**3*k
Differentiate 4267*q + 14 with respect to q.
4267
Find the second derivative of 6760*q**4 - 21640*q wrt q.
81120*q**2
What is the third derivative of 71*n**6 + 5*n**4 + 707*n**2 wrt n?
8520*n**3 + 120*n
What is the third derivative of -2*x**4 - 29*x**3 - 2*x**2 + 186*x?
-48*x - 174
Find the first derivative of 301*d**3*o + 445*d**3 - d**2*o + 2*d**2 wrt o.
301*d**3 - d**2
What is the derivative of -656*b*c**3 - 551*c**3 wrt b?
-656*c**3
Differentiate -177*k**4 - 32.
-708*k**3
What is the derivative of -9554*f + 5852?
-9554
Find the second derivative of 10426*j**5 + 21969*j wrt j.
208520*j**3
What is the derivative of -3*i*w**4 - i*w**3 + 5*i*w**2 - 306*i wrt w?
-12*i*w**3 - 3*i*w**2 + 10*i*w
Find the second derivative of o**3*p**3 - o**3*p*s - o**3 + 4*o*s**3 - p**3*s**3 - p**3*s wrt p.
6*o**3*p - 6*p*s**3 - 6*p*s
Find the first derivative of -1252*c**2 - 598 wrt c.
-2504*c
Find the first derivative of -410*i**3*m**2 + 3*i**3*m - 121*i**3 - i*m**2 wrt m.
-820*i**3*m + 3*i**3 - 2*i*m
Find the second derivative of 82*f**2 + 10*f wrt f.
164
Find the third derivative of 3*g**2*p**4 - g**2*p**3 - 2*g**2*p**2 - 92*g**2*p - 2*p**4 wrt p.
72*g**2*p - 6*g**2 - 48*p
Find the third derivative of 9*r**6 + 57*r**5 - r**3 - 687*r**2.
1080*r**3 + 3420*r**2 - 6
Find the second derivative of -178*k**2*x**2 + 2*k**2*x - k**2 - 5*x**2 - 4 wrt x.
-356*k**2 - 10
Find the second derivative of -176*n**5 + 5*n - 13 wrt n.
-3520*n**3
Find the third derivative of 1333*p**5 + 32*p**2 - p - 2 wrt p.
79980*p**2
Differentiate a*j + a*r**2 + 322*a*r + 7*j**4*r**2 - 7*j**2*r**2 wrt j.
a + 28*j**3*r**2 - 14*j*r**2
Differentiate -26*h*k*x**3 + h*k*x + 12*h*x**2 - h*x + k*x + 2*x**3 with respect to k.
-26*h*x**3 + h*x + x
Differentiate 12*n**4 - 3*n**2 + 222.
48*n**3 - 6*n
Find the third derivative of 253*l**3*s**3 + l**2*s**2 - 2*l**2 - 16*l*s**3 wrt l.
1518*s**3
What is the second derivative of -50*c**2*k**3 - 164*c**2*k + c**2 - 4*c*k**5 + 4*c*k wrt k?
-300*c**2*k - 80*c*k**3
What is the second derivative of -23*h**4 + 122*h**3 - 25241*h?
-276*h**2 + 732*h
Find the third derivative of -j**3*n**3*o**2 - 248*j**3*n*o**2 + 9*j**2*n*o**2 - 10*j*n**3*o**2 + 11*n**3 wrt j.
-6*n**3*o**2 - 1488*n*o**2
What is the second derivative of 883*v**5 - 831*v?
17660*v**3
What is the third derivative of -2*t**5*u - 4*t**4 - 73*t**3*u + 239*t**2*u + 21*u wrt t?
-120*t**2*u - 96*t - 438*u
Differentiate -617*a**2*h*o**4 + 18*a**2 - 4*h wrt o.
-2468*a**2*h*o**3
What is the first derivative of -3197*b**2 - 2803 wrt b?
-6394*b
Find the third derivative of l**3*o*p**3 + l**3*o*p**2 - 2*l**3*o*p + 2*l**3*o - 17*l*o*p**2 + 5*o*p**3 - p**3 wrt p.
6*l**3*o + 30*o - 6
What is the second derivative of -6*l**2*y**2 - 3*l*y**2 + 2*l - 8 wrt l?
-12*y**2
Differentiate -324*w**3 + 1075 wrt w.
-972*w**2
What is the third derivative of 5*u**4 + 22*u**3 + 45*u**2 + 3*u?
120*u + 132
What is the derivative of -138*d - 744 wrt d?
-138
What is the third derivative of 8467*v**3 - 4228*v**2?
50802
Differentiate 3450*d**2 + 3363 wrt d.
6900*d
Differentiate -215*y*z + 2*y + 17*z + 11 wrt y.
-215*z + 2
What is the derivative of -a*m**3 - 11*a*m**2 + 3*a + 19*m**3 + 601 wrt m?
-3*a*m**2 - 22*a*m + 57*m**2
What is the third derivative of 16*g**5 + g**4*w + g**3*l + g**2*l - 10*g*l - 28*g*w wrt g?
960*g**2 + 24*g*w + 6*l
Find the first derivative of -4*m**2 + 105*m - 2100 wrt m.
-8*m + 105
Differentiate -2*l*w**3 - 454*l - 2181*w**4 + 4 with respect to w.
-6*l*w**2 - 8724*w**3
Find the first derivative of 4*u**3 - u**2 + 343 wrt u.
12*u**2 - 2*u
Differentiate 2*m*r**4 - 49*m + 175*r**2 + 2 with respect to r.
8*m*r**3 + 350*r
What is the second derivative of -686*j**5 + 2*j**3*k - 436*j*k - j + 1 wrt j?
-13720*j**3 + 12*j*k
Find the second derivative of 1285*r**5 + 2*r**3 - r + 329 wrt r.
25700*r**3 + 12*r
Differentiate -l**2*r**3 + 2371*l**2 + 17544*r**3 with respect to l.
-2*l*r**3 + 4742*l
Find the first derivative of 455*z + 453 wrt z.
455
What is the second derivative of -5*b**4 + 328*b?
-60*b**2
Differentiate -11*a*h*m**2 + 39*a*h*m + a*m**2 - h*m - 13*m wrt h.
-11*a*m**2 + 39*a*m - m
What is the second derivative of 160*r**2 + 23*r + 1 wrt r?
320
Find the third derivative of 1357*c*g**3 + 7*c*g**2 - 4*c*g + 30*g wrt g.
8142*c
What is the third derivative of 2*j**3*r**4 + 10*j**3*r**2 - j**2*r**2 - 74*j*r**4 - j wrt r?
48*j**3*r - 1776*j*r
What is the derivative of 22*z**4 - 315 wrt z?
88*z**3
What is the second derivative of 14840*u**2 - 2*u - 3914?
29680
Differentiate -244*u**2 - 6*u - 4971 with respect to u.
-488*u - 6
Find the second derivative of d**3 + 32*d**2 + 13*d wrt d.
6*d + 64
Find the third derivative of 2*n**5 - 13*n**4 - 3*n**3 - 602*n**2 + 3*n + 1 wrt n.
120*n**2 - 312*n - 18
What is the third derivative of -c*j**4 + 16*c*j**3 + 7*c*j**2 - 57*c + 4*j**6 wrt j?
-24*c*j + 96*c + 480*j**3
Find the third derivative of -305*h**3 - 70*h**2 wrt h.
-1830
What is the second derivative of g**2*k**2*x - 6*g**2*k**2 - 4*g**2*x - g**2 + 225*g*k**2*x + 62*g*k*x + 5*g wrt k?
2*g**2*x - 12*g**2 + 450*g*x
Find the first derivative of -162*d**2 + 12 wrt d.
-324*d
Find the second derivative of -6*g**3 + 4*g**2 - 31*g - 2 wrt g.
-36*g + 8
Find the third derivative of -9*p**5 + 10*p**4 + 60*p**2 wrt p.
-540*p**2 + 240*p
Differentiate 2*m**3*u + 4*m**3 - 3*m*u - 2*u - 639 wrt m.
6*m**2*u + 12*m**2 - 3*u
Find the second derivative of -159*y**4 + 139*y wrt y.
-1908*y**2
Find the first derivative of -33*n*o*s*t + 3*n*o*t + 24*n*o - 86*n*s + 3*o*s*t - 1 wrt t.
-33*n*o*s + 3*n*o + 3*o*s
Find the first derivative of 24729*y - 15755.
24729
What is the second derivative of o**2*x**3 - 45*o**2*x**2 - 2*o*x**3 - o*x - 3*x**2 - 64*x wrt o?
2*x**3 - 90*x**2
Differentiate -33*o**2*s*x + 2*o*x + 3*s + x wrt o.
-66*o*s*x + 2*x
Find the third derivative of -9842*f**3 - 13492*f**2.
-59052
Find the second derivative of -6688*b**3 + 3*b + 2307 wrt b.
-40128*b
Find the third derivative of -f**3*i**4 - 3*f**3*i*r**3 - 4*f**3*i*r + 6*f**3*r**3 - 166*i**4*r**3 - i**2*r**3 wrt i.
-24*f**3*i - 3984*i*r**3
What is the third derivative of -f**5*v + 51*f**5 + 2*f**3*v - 5*f**2*v + 55*f**2 wrt f?
-60*f**2*v + 3060*f**2 + 12*v
Find the first derivative of -227*c*o**4 - 163*c wrt o.
-908*c*o**3
Find the third derivative of -5887*t**4 - 394*t**2 - 2*t + 5.
-141288*t
What is the third derivative of 105*l**4*m - l**2*m - 671*l wrt l?
2520*l*m
What is the second derivative of -770*v**3 + 4*v**2 - 2627*v - 2?
-4620*v + 8
What is the second derivative of 9832*g**3 - 10*g + 344 wrt g?
58992*g
What is the derivative of -498*f**2*v*w**3 - 5*f**2*w**3 - 3*f**2 - 25*w**3 wrt v?
-498*f**2*w**3
What is the second derivative of -35*s**2*t**2 + s**2 + s*t**2 - 50*s wrt s?
-70*t**2 + 2
Find the third derivative of h*o**4*z + h*o**3*z - 2*h*o**2*z**2 - h*o*z**2 - h*o + 34*o**4*z**2 + 24*o**2*z wrt o.
24*h*o*z + 6*h*z + 816*o*z**2
Find the second derivative of 22*a**3 - 2*a**2*w**3 - a*w**2 + w**3 + 10 wrt a.
132*a - 4*w**3
What is the second derivative of -13*i**2 - 85*i wrt i?
-26
Find the second derivat | {
"pile_set_name": "DM Mathematics"
} |
Let g be ((-5)/10)/((-2)/(-4)). Let z be (-1526)/(-28) - g/(-2). Calculate the greatest common divisor of z and 486.
54
Let d(g) = -g**3 - 12*g**2 + 16*g + 27. Let y be d(-15). Calculate the greatest common divisor of y and 42.
42
Let i(d) = d**2 - 6*d - 1. Let a be i(11). Let v = a - 46. Calculate the greatest common factor of 88 and v.
8
Let x = -178 + 308. Let v = 28 + 24. What is the highest common divisor of v and x?
26
Let b(w) = 4*w**2 - 8*w - 5. Let v be b(-7). What is the greatest common factor of 114 and v?
19
Let d(m) = -m**3 - 32*m**2 + 29*m - 128. Let f be d(-33). Suppose -4*u = -2*u - 24. Calculate the greatest common factor of f and u.
4
Let k(i) = 6*i - 16. Let d be k(3). Suppose 2*f - 10 = 0, -d*f + 28 = -5*w + 6*w. What is the greatest common factor of 198 and w?
18
Let j = 720 - 713. Calculate the greatest common divisor of 6 and j.
1
Let y(a) = 14*a - 11. Suppose -9 = 4*u - 7*u. Let g be y(u). What is the greatest common factor of 31 and g?
31
Let x = 68 - 78. Let k be (72/16)/(5/(-2))*x. What is the greatest common factor of k and 3?
3
Let z = -5 - -5. Suppose c = -z - 2, 4*q - c - 882 = 0. Calculate the greatest common factor of q and 20.
20
Let z = -128 - -205. Suppose 0 = a - 11 - z. Let l be 112/21*(0 + 3/2). What is the highest common divisor of l and a?
8
Let j be -10*(-5)/20*2. Suppose 3*t + 2*t = -3*i + 59, -j*t = -i - 47. What is the greatest common factor of t and 10?
10
Let x(q) be the first derivative of q**3/3 + q**2 - 24*q + 21. Let c be x(-7). What is the greatest common divisor of c and 11?
11
Let x = 1401 + -1131. Let z be (-227)/(-5) - 2/5. Calculate the greatest common factor of x and z.
45
Let m be 464/12 + 2/6. Let u be 6/(-39) - (-2151)/m. Suppose 3*t + 2*v = u, 1 = 2*v - 3. Calculate the greatest common divisor of 119 and t.
17
Suppose -z + 2*u + 8 = u, 5*z - 8 = -3*u. Suppose 4*v = -0*v + z. Suppose 0*o - o = 3*i - 29, 3*o = -4*i + 47. What is the highest common divisor of v and i?
1
Suppose 0 = 42*t - 37*t - 580. What is the greatest common factor of t and 261?
29
Let o = 50 + -34. Let p(b) = -b**3 - 16*b**2 - 3*b - 24. Let i be p(-16). Calculate the highest common factor of i and o.
8
Let s be (0 - 1)/((-6)/54). What is the highest common divisor of 9 and s?
9
Let k be ((-27)/15)/((-18)/240). What is the highest common divisor of 216 and k?
24
Let l be (14 - (-434)/(-28))*(-28 - 0). What is the highest common factor of 98 and l?
14
Suppose 1 = 3*x - 2. Let b(j) = -3*j - 55*j**2 - j**3 + 29 + 5*j + 43*j**2. Let a be b(-12). Calculate the highest common factor of a and x.
1
Suppose 244 = 15*t + 148 - 264. Let d = 17 - -1. What is the greatest common factor of t and d?
6
Let t be 2/(-3)*(-9 - -15). Let s be t/6 - (-66)/18. Suppose -5*b - 5*z + 79 = -16, s*b + 2*z - 57 = 0. What is the highest common factor of b and 152?
19
Let d be ((-460)/15)/(6/(-45))*1. What is the greatest common factor of d and 20?
10
Suppose -4*f = h - 36, 3*f + 0*h - 4*h - 27 = 0. Calculate the highest common divisor of 81 and f.
9
Let u(t) = t**3 + 19*t**2 + 23*t + 96. Let i be u(-18). What is the highest common divisor of 4 and i?
2
Suppose -5*t - 294 = -2*a, -4*a = a - 5*t - 750. What is the highest common factor of a and 16?
8
Let y(l) = -l**3 + 15*l**2 - 2*l + 532. Let k be y(0). What is the greatest common factor of k and 228?
76
Let n be 15 - (0/3)/4. Let q = n + 0. Suppose -5*j = m - 5 - q, 3*m = 0. Calculate the highest common factor of 28 and j.
4
Let h be 5545*90/525 + (-8)/14. What is the highest common factor of h and 5?
5
Let z(y) = -75*y + 160. Let h be z(-15). Calculate the greatest common divisor of h and 5.
5
Let s be (57/3 - -2)*6. Suppose -4*q + 2*h + 346 = 0, -s - 126 = -3*q + 3*h. Let c = q - 51. Calculate the greatest common divisor of 95 and c.
19
Let r be 2/(-10)*(38 - 43) - -111. What is the greatest common divisor of 896 and r?
112
Suppose -5*u = -152 + 32. What is the highest common divisor of u and 264?
24
Let z(i) = i**3 + 7*i**2 - 24*i - 74. Let v be z(-8). Calculate the highest common divisor of v and 54.
54
Let q = 147 - 238. Let d = -19 - q. Calculate the highest common factor of d and 8.
8
Let y be (-9)/(-15) - (-7)/5. Let m be -114*-1*y/4. Let i be (-19)/((-10)/4 + 2). Calculate the highest common divisor of m and i.
19
Suppose -48*g + 51*g - 1667 = -2*i, 1655 = 3*g - i. What is the greatest common factor of 158 and g?
79
Let f(a) = a**2 + 11*a - 16. Let m(x) = x**3 - 6*x**2 - 8*x - 4. Let l be m(7). Let d be f(l). Let p = d - -17. What is the greatest common divisor of 3 and p?
1
Suppose -r = 2*r - 36. Let s = 49 - 6. Let i be s/4 + 2 - (-3)/(-4). Calculate the highest common divisor of i and r.
12
Let c(t) = t**3 - t**2 - 2*t + 3. Let v be c(2). Suppose -20*s + 114 = -s. What is the greatest common factor of s and v?
3
Let f = -2446 + 2560. Calculate the greatest common divisor of f and 30.
6
Let q(w) = 252*w + 1. Let m be q(1). Let v be 14/(-203) - (-6690)/290. Calculate the greatest common divisor of v and m.
23
Let h be ((-520)/(-30))/26*12*109. Calculate the greatest common divisor of 8 and h.
8
Suppose 5*z + 15 = 2*x - 15, 33 = 5*x - 2*z. Suppose -x*n = -107 - 43. Calculate the highest common divisor of n and 6.
6
Let i be (-6)/4*8/6*-29. Let b = -37 + i. What is the highest common divisor of b and 189?
21
Let j(n) = -n**3 - 5*n**2 - 3*n - 1. Let z be j(-3). Let l = 14 + z. Let h be 2/((-2)/(-16)*1). What is the highest common factor of l and h?
4
Let r be 4/(-26) - 602/(-26). Suppose -2*f + 52 = 3*v, 3*f - 59 = 4*v + v. What is the greatest common divisor of r and f?
23
Suppose 3 = 4*l - a, 4*a + 2 = -4*l + 10. Let n be 3/9 + l*2/3. What is the greatest common factor of 5 and n?
1
Suppose 0 = 34*s - 1568 - 1050. Calculate the highest common divisor of 2926 and s.
77
Suppose h + 5*t = -16, -4*h + 11 = -6*h - 3*t. Let l be (-209)/((h + 5)/(-4)). What is the highest common divisor of l and 19?
19
Suppose 4*j = 47 + 53. Suppose -4*l = 4*n - 0*l - 4, 5*l + j = 0. Let v = -203 + 227. What is the highest common factor of v and n?
6
Suppose -z + 871 + 3363 = 4*u, 2*z - 2120 = -2*u. Calculate the greatest common divisor of u and 46.
46
Let f = 1380 - 995. What is the highest common divisor of 154 and f?
77
Let y = 16 + -9. Suppose -t - 3*p - 1 = 0, -2*t + y*t = -p + 23. Suppose 0 = -t*x + 25 + 155. What is the highest common divisor of 9 and x?
9
Let g = -80 - -84. Suppose g*v - 30 = 314. Calculate the greatest common divisor of 215 and v.
43
Let h be 42/(-9)*(9 - (-1116)/(-84)). What is the highest common divisor of h and 980?
20
Let j = 24 + -5. Let o be 766*(-1)/(-8) - 42/56. What is the greatest common factor of o and j?
19
Let i = 27 - 22. Suppose i*z - 2*z - 270 = 0. Let s = 108 - 72. What is the highest common divisor of z and s?
18
Suppose -2*l + 80 = 3*l. Suppose 0 = r - 4, l - 176 = -m + 4*r. Suppose 22 + 0 = q. Calculate the greatest common divisor of q and m.
22
Suppose -8*p = -1348 - 148. Calculate the highest common divisor of p and 33.
11
Let m(f) = -f**2 - 8*f - 2. Let q be m(-10). Let p = -11 - q. Let d be (33/(-6))/(3/(-6)). What is the highest common factor of p and d?
11
Let h(f) = f**3 + 6*f**2 - 2*f - 5. Let l be h(-6). Let o = 274 + -267. Calculate the greatest common factor of o and l.
7
Let n be 2 + -2 - (0 - -5). Let j(r) = r**2 + 3*r - 6. Let a be j(n). Suppose -z + 525 = a*z. What is the highest common factor of z and 42?
21
Suppose 6*w - 191 - 223 = 0. What is the highest common divisor of 115 and w?
23
Suppose -1218 = -52*n + 2734. Calculate the highest common divisor of n and 342.
38
Let l = -54 + 146. Calculate the highest common factor of l and 4.
4
Let n = -17 + 13. Let t be n/1 - (-5385)/3. Let g be t/45 - 2/(-10). Calculate the greatest common factor of g and 100.
20
Let b = -321 + 817. Calculate the greatest common divisor of b and 32.
16
Suppose 4513 - 1769 = 28*o. Suppose -2*g = 2*l - 24, -2*g - 5*l + 20 = -l. What is the greatest common factor of g and o?
14
Let d(n) = 6*n - 15. Let v be d(7). Suppose 0 = -2*k + v - 3. Calculate the highest common divisor of 156 and k.
12
Let n be (-6)/21 - 36/21. Let q(s) = -101*s + 5. Let z be q(n). What is the highest common divisor of z and 23?
23
Suppose -4*q + 133 = -119. Let c(y) = -y**2 + 10*y. Let z = 19 | {
"pile_set_name": "DM Mathematics"
} |
Suppose -4*p + d = -0*p. Let o(y) = y**2 - 2 - 2*y**p + 6 + 3*y**2 + y**3 + y. Give o(-3).
-8
Suppose -3*z + 50 = 62. Suppose 3*i + 5*m - 30 = -2*i, -2*m + 6 = 0. Let b(y) = 5*y**2 + 3*y**3 + 3*y + 2 + y - 2*y**i. Calculate b(z).
2
Let i be (18/12)/(1/4). Let x(m) = -m**2 + 5*m + 2. What is x(i)?
-4
Let z = -10 - -8. Let b(g) = -g**2 - 1 + 4 + 3 - 5. Determine b(z).
-3
Suppose 2*f - 5 = m - 16, -4*f = 2*m + 2. Let t(l) = -l**2 - 4*l - 3. Give t(f).
0
Let p(z) = 2 + 6 - 3*z + 2*z. Suppose 0*x - 5*x = 0. Suppose 4*c + 0*c = x. Determine p(c).
8
Let l(j) = -j**3 + 6*j**2 + 6*j + 8. Let z be l(7). Suppose 0 = 2*c + z + 3. Let m = 4 + c. Let v(a) = a + 2. Determine v(m).
4
Let w(l) = -l + 4. Suppose 4*i = -2*f - 12, f + 3*f = i + 21. Determine w(i).
9
Let a(s) = s**3 + 15*s**2 - 15*s + 20. Let m be a(-16). Let v(n) = 5*n**2 - 2*n**3 - 3*n - 5 + 4*n + n**3 + m*n. What is v(6)?
-11
Let d(v) = 3*v**2 - 7*v + 4. Let a(x) = 4*x**2 - 8*x + 5. Let o(j) = 4*a(j) - 5*d(j). Let w be (-8)/20 + (-18)/5. Give o(w).
4
Let k(f) be the third derivative of f**5/60 - f**4/8 - 5*f**3/6 - 9*f**2. Let x = 7 - 1. Determine k(x).
13
Let o(v) be the second derivative of -v**4/3 + 2*v**3/3 - v**2 + 18*v. Determine o(3).
-26
Let s(q) = 36*q**2 + 2*q**3 + 28*q**2 - 63*q**2 - q. Calculate s(1).
2
Suppose -4*o = 3*h + 29, 10 = -5*o + 3*o. Let x(n) = n**2 + 2*n - 2. Calculate x(h).
1
Let p(x) = -x**2 + 4*x + 3. Let v = 27 - 14. Let h = -9 + v. Calculate p(h).
3
Let z(a) = -a**3 + 4*a**2 + 4*a + 1. Let q(c) = -4*c**2 - 1. Let t be q(-1). Let j = t - -10. Determine z(j).
-4
Let h(m) = m + 2. Let i be 4 - 9/(27/(-6)). Determine h(i).
8
Let q(c) = 2 - c + 7*c - 7*c. Give q(0).
2
Let o be 2*1*(-2)/(-1). Suppose -3*f + 7*f = o*a, -3*f - a = 12. Let h(u) = u + 2 - 2 - 1. What is h(f)?
-4
Let k be (-3 + 0)/(5/5). Let j(m) = 4*m**2 - 2 - 2*m + 0*m - 5*m**2. Determine j(k).
-5
Suppose -s = 0, 3*s = -f + 8*s + 3. Let w(d) = -d - 4. Determine w(f).
-7
Let r(t) = t. Let b(h) = h**3 + 6*h - 6. Let p(c) = b(c) - 5*r(c). Suppose -9*i = -5*i + 36. Let s = i + 9. Calculate p(s).
-6
Let p(a) = a - 3*a**3 + 3*a**2 + 3 + 4*a**3 + 2*a. Let i be p(-3). Let h(q) = q**2 + 5*q + 1. Determine h(i).
7
Suppose -4 = -4*u - 3*y + 8*y, -u - 5*y = 24. Let v = u + 5. Let r(z) = 4*z**2 - 1. What is r(v)?
3
Let l(z) = 7*z**2 + 1. Let s = -93 + 94. Determine l(s).
8
Let n(b) = -b**2 + b - 1. Let m(h) = h - 1. Let s be m(-5). Let x = s - -12. Suppose l = x*l. What is n(l)?
-1
Let n(w) be the third derivative of 0 - 1/24*w**4 + 7/6*w**3 + 2*w**2 + 0*w. Let b(l) = -2*l + 11. Let x(c) = -5*b(c) + 8*n(c). Calculate x(3).
7
Let a be (-18 + 16)/((-1)/(-1)). Let m(x) = -4*x**3 - 7*x**2 - 4*x + 1. Let d(y) = -y**3 - y**2 + 1. Let r(i) = -3*d(i) + m(i). Give r(a).
-2
Let t be (-9)/6*(1 - 3). Let u(m) = -4 + 0*m + 4*m - 3*m. Determine u(t).
-1
Let u(g) = 12*g - 7. Let h(w) = -11*w + 6. Let r(q) = -5*q**3. Let t be r(1). Let l(b) = t*u(b) - 6*h(b). What is l(1)?
5
Let q(k) = 3*k**2 + 2*k - 7. Let g(m) = 2*m**2 + 3*m - 6. Let f(a) = 4*g(a) - 3*q(a). Give f(6).
-3
Let m = -25 - -43. Suppose -4*l - 3*x + 11 = 0, 5*l - x = 2*l + m. Let g(v) = -l - v**3 - 2*v + v - 4*v**2 + 0. Determine g(-4).
-1
Let j(u) = -u**3 + 3*u**2 - 8*u + 8. Let i(x) = -2*x**3 + 6*x**2 - 15*x + 15. Let p be 6/(-4) - (-15)/2. Let g(h) = p*i(h) - 11*j(h). Give g(3).
-4
Let z(l) = 2*l + 3. Let n be -5*1*(-3)/5. Suppose -2 - n = t. Give z(t).
-7
Let o(c) = 6 + 2*c**3 + 2*c - c**3 - 2*c**3 - 5*c**2. Let h(v) = 2*v + 25. Let y be h(-15). Determine o(y).
-4
Let n be (-1 + 5)*10/(-8). Let q(f) = -4*f - 6. Calculate q(n).
14
Let j(w) = -1 + 2*w + 2*w**2 - 4*w - 3*w**2 - 2*w**2. Let f be j(-1). Let i(g) = -g**3 - 3*g**2 - 4*g - 2. Give i(f).
2
Let r(s) = s**2 - 2*s - 3. Let b be r(3). Let v(z) be the first derivative of -z**2/2 + 5*z - 1. Determine v(b).
5
Let w(g) be the second derivative of 0 + 0*g**3 + 1/20*g**5 - g - g**2 - 1/12*g**4. Let c be w(0). Let p(h) = -h**2 - 5*h - 1. Give p(c).
5
Suppose 0 = 4*r + 5*y + 72, 4*r - 3*y + 11 = -29. Let j = -19 - r. Let b(w) be the second derivative of -w**3/3 - 4*w**2 + 2*w. What is b(j)?
4
Suppose 0 = -6*q + 2*q + 4*h, -8 = -q - 3*h. Let x(z) be the first derivative of z**2/2 - z - 2. Calculate x(q).
1
Let a(c) be the first derivative of 2*c + 1/3*c**3 - 11 + 2*c**2. Give a(-5).
7
Let u(l) = -8 - 3*l - 2*l + 6*l. Calculate u(4).
-4
Suppose 0 = 3*z - 3*w - 9, -z - z = w - 6. Let j(y) = y + 2. Let n(c) = -c - 2. Let l(a) = z*j(a) + 4*n(a). Determine l(-6).
4
Let k(y) be the first derivative of 4*y**3/3 - y**2/2 - y + 21. What is k(2)?
13
Let s = -7 + 10. Let v(r) = -4*r + 4. Let z be v(s). Let q = 11 + z. Let a(y) = y**3 - 4*y**2 + 2*y + 2. Calculate a(q).
-1
Let a(w) = w**2 - 4*w - 1. Let o = -4 + 3. Suppose k + 2 = 6. Let u = o + k. Calculate a(u).
-4
Let d(g) = g + 3. Let p(s) = -2*s - 4. Let a(v) = -3*d(v) - 2*p(v). Give a(-5).
-6
Suppose -10*l + 6*l = 0. Suppose -d = -l*d - 2. Let c(r) = r**2 - 6*r**2 - r**3 + r + 5*r**2 + 2 + 3*r**d. Determine c(2).
8
Let p(o) be the third derivative of -o**6/180 + o**5/120 + 7*o**3/6 + 5*o**2. Let z(y) be the first derivative of p(y). Let u = -2 + 3. What is z(u)?
-1
Let s = -11 + 9. Let y(n) = -4*n**2 + n + 2*n**2 - n**3 + n**2. Give y(s).
2
Suppose 0*x - 30 = 6*x. Let z(t) be the third derivative of -t**4/8 - t**3/2 + t**2. Give z(x).
12
Let n(t) = -t + 5. Let l be n(4). Let u = 2 + l. Let a(g) = -g + 1. Give a(u).
-2
Let g(z) = -2*z + 3*z + 1 - 7. Let m = 18 - 18. What is g(m)?
-6
Let p(l) be the third derivative of l**5/15 - l**4/24 - l**3/2 - 2*l**2. Let b(a) = a**2 - a. Let u(i) = -5*b(i) + p(i). Give u(4).
-3
Suppose 0 = -2*g - 0*g + 14. Let x(v) = -1 + 2*v**2 + 0*v**2 - v**2 - g*v**3. Suppose 0 = -3*j - 2*h + 1, -2*j = j - h - 4. What is x(j)?
-7
Let w(g) = g**2 + 3*g - 1. Suppose 5*s = 10, 3*f - 4*s = s + 2. Suppose -3*i + f = -4*i. Determine w(i).
3
Let g(j) = 1. Let k(i) = -7*i - 2. Let m(f) = 6*f + 2. Let r(u) = 5*k(u) + 6*m(u). Let p(x) = 3*g(x) - r(x). Let z = 0 - 0. Give p(z).
1
Let w(i) be the first derivative of -3*i - 1/2*i**2 - 2. Determine w(-3).
0
Let j be (-5)/(5/(-2)) - 1. Let w(l) = 2*l + 1. Give w(j).
3
Let o(z) = z**3 + z + 4. Let c = 1 - 1. Let f(n) = n**3 + 3*n**2 - 4*n + 3. Let g be f(-4). Suppose c = -0*h + g*h. Calculate o(h).
4
Let a be (-3)/6 - (-5)/(-2). Let n be 14/(-4) + a/(-6). Let x(c) = c - 4. Give x(n).
-7
Let z = -46 + 53. Let r(i) = -i + 6. Determine r(z).
-1
Suppose -t = 2*r - 3 - 1, 5*r = 4*t - 16. Let x be (4/6 + r)*3. Let g(j) = -j**3 + j + 2. What is g(x)?
-4
Let d(j) = j**3 - j - 1. Let h(l) = -4*l**3 - 5*l**2 + 2*l - 2. Let r(c) = -5*d(c) - h(c). Calculate r(5).
22
Let h(t) = -3*t**3 + 17*t**2 - 17*t - 32. Let v(g) = -g - 4*g**2 + g**3 - 2*g**2 + 11 + 7*g. Let w(q) = 6*h(q) + 17*v(q). Suppose 55*i - 50*i = 0. Give w(i).
-5
Let q = 14 - 14. Suppose q = 3*g - 5*g + 6. Let t(a) = -a - 3*a + a**3 + 1 - a**2 + 0*a**3. What is t(g)?
7
Let y(o) be the first derivative of -o**2/2 + 2*o - 12. Calculate y(4).
-2
Let i be (-192)/(-30) - (-4)/(-10). Let p = 3 - i. Let z(k) be the second derivative of -k**5/20 - 5*k**4/12 - 2*k**3/3 - k. Calculate z(p).
-6
Suppose -3*d = -5*g + 36, 3*d = -3*g + 2 + 10. Suppose 0 = -2*u + u - g. Let h(p) = 2*p + 3. Determine h(u).
-9
Let n(o) = -o**2 - 5*o + 2. Let v be (-862)/(-22) + 4/(-22). Suppose 0*i + v = 3*i. Let q = -18 + i. What is n(q)?
2
Let l(r) = -2*r**3 - 2*r**3 + 1 + 3*r**3 - r**2 + 3*r**2 - r. What is l(2)?
-1
Let d(g) = -3 + 2*g**2 - g**2 - 6 + 2 + 2*g. Let c(a) = -4*a**2 - 2*a + 1. Let l be c(1). Calculate d(l).
8
Suppose 0 = 5*o - 4*p - 1 + 12, 3*o - 2*p + 5 = 0. Let g(z) be the second derivative of z**3/3 + z**2/2 - 2*z. What is g(o)?
3
Let s(a) = a**3 + 4*a**2 - 3*a + 5. Suppose 5*y = 2*p - 0*y + 15, 5*y - 5 = 0. What is s(p)?
-5
Let d(v) = -3*v**2 + v - 6. Let k(a) = -2*a**2 + a - 7. Let f(r) = 3*d(r) - 4*k(r). What is f(0)?
10
Let f be (-5)/5 - (-8 + 2 - -4). Let j(g) = g - 1. Give j(f).
0
Let z(s) = -s**3 - 9. Suppose 0 = -5*j - 3*o - 15, -4*o = -0*j - 4*j + 20. What is z(j)?
-9
Suppose -a = a + 6. Let z = 5 + a. Suppose 0*d + 6 = -z*d. Let t(b) = -b**2 - 3*b - 4. Determine t(d).
-4
Let d be (-21)/7 + 2*-1. Let s(f) = -f**2 - 5 + 2*f**2 - 2 + 3*f. What is s(d)?
3
Let l(u) be the second | {
"pile_set_name": "DM Mathematics"
} |
-2/13
Which is the nearest to 0.1? (a) -6/7 (b) -1.2 (c) 3 (d) -3
a
Which is the nearest to 0.07? (a) 4 (b) -115 (c) 2/85 (d) 3/2
c
Which is the nearest to -3? (a) 2 (b) 14 (c) 100.5
a
Which is the nearest to 7/5? (a) -0.2 (b) 1021 (c) 5
a
Which is the closest to 1? (a) -111 (b) -0.2 (c) -5 (d) 4 (e) -1/24
e
Which is the nearest to -4/3? (a) -0.2 (b) 0.0228 (c) 74
a
What is the nearest to -4/7 in 0.21, -65, 0, 5, -3?
0
What is the nearest to -0.1 in 0.116, -3, 10?
0.116
Which is the closest to -38? (a) -3 (b) -2/57 (c) 2
a
Which is the nearest to 4/135? (a) 3 (b) 0.02 (c) -0.5
b
Which is the nearest to 256? (a) -5 (b) -0.5 (c) 0.32 (d) 1 (e) -0.4
d
Which is the nearest to 0.023? (a) -5 (b) -1303 (c) -4
c
What is the nearest to 2 in -2, -46640, -0.2, 4?
4
What is the closest to 0.6 in -1076/3, -4, -1/4?
-1/4
Which is the nearest to 0.1? (a) 1 (b) 1/2 (c) 4 (d) -2/51 (e) 0.06
e
Which is the closest to 5/11? (a) -4 (b) 0.2 (c) 2/187 (d) 0 (e) -1/3
b
Which is the nearest to -2/15? (a) 2/25 (b) -1355 (c) -9
a
What is the closest to 0.1 in 0, -1.5, 39336, 2?
0
Which is the closest to 1? (a) 1/16 (b) -217 (c) -2/7 (d) 11
a
What is the closest to 2 in -1, -2, 808, 2?
2
What is the closest to -2 in -3/260, 0.5, -5/3, 4, -1?
-5/3
Which is the closest to 2? (a) -5 (b) 0.5 (c) 2/19 (d) -13/3
b
Which is the nearest to 0.1? (a) -1/8 (b) 3.9 (c) 0.3 (d) 8
c
Which is the nearest to 5? (a) 2/37 (b) 28 (c) -1
a
Which is the nearest to -15? (a) -2 (b) -39 (c) -0.3 (d) 4 (e) -4
e
Which is the nearest to -2/5? (a) -10 (b) -6 (c) -64 (d) -4/5
d
Which is the nearest to -0.1? (a) 2 (b) -11 (c) -0.17 (d) -0.2
c
What is the nearest to 5 in -3, 0.5, 2/7, 2/21, -2/7?
0.5
Which is the nearest to 140? (a) 2 (b) 5 (c) -0.03
b
What is the closest to -12 in -2/3, -0.4, -28, 5, -98?
-2/3
Which is the closest to -31? (a) -1/7 (b) 0 (c) -100 (d) 0.3 (e) 1/2
a
Which is the nearest to -0.4? (a) 3 (b) -0.063 (c) -0.1 (d) -0.4 (e) 1/2
d
What is the closest to 0.2 in 233/2, -7, -18, -1?
-1
What is the closest to 1 in -3/5, -0.042, 0.25, -5?
0.25
Which is the closest to -34? (a) 12 (b) -4 (c) -4/3
b
What is the nearest to -2 in 0.3, -10, -0.119, 2?
-0.119
Which is the nearest to -3/8? (a) -2 (b) 19 (c) -1/8 (d) 1/24
c
Which is the closest to -39? (a) 6 (b) -0.1 (c) -1 (d) 1/3
c
Which is the nearest to -0.1? (a) 14 (b) 1/23 (c) -1/6 (d) -1
c
What is the nearest to -1/3 in 35, -2/9, 0.02, -3, 7?
-2/9
Which is the nearest to 0.1? (a) -51 (b) 2 (c) -1569/13
b
What is the nearest to 1 in 0.1, -9, 0.2, -4/5, -2181?
0.2
What is the nearest to 327 in -11, -1/6, 3, -3?
3
Which is the nearest to 0.1? (a) 703 (b) -2 (c) 1/24
c
Which is the nearest to 0? (a) 0.9 (b) 4 (c) 0.4 (d) -2/15 (e) 1/2
d
What is the nearest to -0.72 in -2/17, 1, 1/2, -1/4, 0.281?
-1/4
Which is the closest to 1/5? (a) -1 (b) 60 (c) 0.3 (d) -0.07
c
What is the nearest to -0.2 in -0.2, 2/9, -2/15, -1.3?
-0.2
What is the closest to -0.1 in -6, 5, -5, 3/274?
3/274
Which is the nearest to -2? (a) 0.3 (b) -4 (c) 118
b
Which is the closest to 2.456? (a) 9 (b) 0.5 (c) -5 (d) 2
d
What is the nearest to 3048 in 3/2, 4, -1/3?
4
What is the closest to 1 in 2/9, -0.01, -2, 2411/2?
2/9
What is the closest to 0.1 in -4, -0.0728, -14, 0.1, -2?
0.1
What is the nearest to 2 in -0.3, -2/11, 1.7, 10?
1.7
What is the nearest to -17/9 in 5, 0.03, -37, -2?
-2
What is the nearest to -1/8 in 1/4, -112, -4, -4/3?
1/4
Which is the closest to -2? (a) 0.5 (b) -0.1 (c) -0.5 (d) -1/346
c
What is the closest to 0.3 in 2.4, -1/3, -130?
-1/3
Which is the nearest to 0.1? (a) -1/2 (b) 12441 (c) 2/7
c
What is the nearest to 0.007 in -1/2, -0.08, 0.3, -0.31, -4/5?
-0.08
What is the nearest to 1/2 in 0.2, -1/3, -0.019, 0.4?
0.4
What is the closest to 1/2 in 3, 0, -1, -402?
0
What is the nearest to -6 in -31/12, 1/5, -2/9?
-31/12
Which is the nearest to -0.2? (a) -0.1 (b) -2/7 (c) 0.032 (d) -523 (e) -0.4
b
What is the closest to 3/10 in 0.2, -9, 5, 2, 19?
0.2
Which is the closest to -2? (a) 1/9 (b) 0.1 (c) 4 (d) -0.1 (e) -366
d
What is the closest to -26 in 8555, 2/7, 3?
2/7
Which is the closest to -0.1? (a) -1/4 (b) 3 (c) 54/245 (d) 1/4
a
What is the nearest to 0 in 3, 0.23442, 0.2, 2?
0.2
What is the nearest to 0.02 in 0, -1, -2211, 5, -4?
0
What is the closest to 2/7 in -1, -3121.9, -0.2?
-0.2
Which is the nearest to 0.1? (a) 1/7 (b) 21 (c) 0.079 (d) -1/10
c
Which is the nearest to -2/53? (a) -0.04 (b) -2/5 (c) 10 (d) 0.3
a
What is the nearest to -0.01 in 2/37, 2, -0.5, -24, -1/12?
2/37
What is the nearest to 0.16 in 2/13, 0.03, 0.5, 0.6, -3?
2/13
Which is the closest to 6.5? (a) -26 (b) 5 (c) -5 (d) 0
b
What is the nearest to -3 in 0.04, 3, 0.039?
0.039
Which is the closest to 5? (a) -2 (b) 162 (c) -3/4 (d) 0
d
Which is the nearest to 2? (a) 0.141 (b) 4 (c) 12/11 (d) -1.7
c
Which is the closest to 3/13? (a) -2/57 (b) -2 (c) -2/9 (d) 2/3 (e) -8
a
What is the closest to -0.7 in 2/3, 2, 59/5, 83?
2/3
Which is the closest to -0.4? (a) -40 (b) 556 (c) -0.6
c
Which is the closest to 135? (a) 2 (b) -1/9 (c) 3
c
What is the closest to 40 in -84, -5, -1?
-1
What is the nearest to 1 in 2.6, 11/3, -1?
2.6
What is the closest to -6 in -2/21, 0.5, -11?
-11
Which is the nearest to -1? (a) 5 (b) -12 (c) 781
a
What is the nearest to -0.1 in -1/172, 0.3, -3/2, -0.4, -1?
-1/172
Which is the nearest to 0? (a) 0.2 (b) -0.346 (c) 3 (d) 0 (e) -7
d
Which is the closest to -108? (a) -2/13 (b) 1 (c) 0.3 (d) 173 (e) 6
a
Which is the closest to 2/3? (a) -3 (b) 5 (c) -0.02 (d) 0.5 (e) 18
d
What is the closest to 0 in 3/53, -3, 2/35, 2?
3/53
What is the closest to 79 in -5, -1/2, 2/5?
2/5
Which is the closest to -1/15? (a) -0.7 (b) -3/5 (c) -2/15 (d) -2/7
c
What is the closest to 0.85 in 2, 3/8, -0.83, -3?
3/8
Which is the closest to 4/11? (a) 1 (b) -4 (c) -1/3 (d) -8
a
Which is the nearest to 534? (a) 5 (b) 4 (c) -5 (d) 0
a
Which is the closest to 240/1069? (a) 4/3 (b) -3 (c) 2/3
c
Which is the nearest to -5? (a) 1/3 (b) 0.5 (c) -7 (d) -3/2 (e) 1
c
What is the nearest to -4 in 1, 110, -8/5?
-8/5
Which is the closest to -12? (a) 0 (b) -1 (c) 0.24 (d) -4
d
Which is the nearest to -1? (a) -0.022 (b) -1 (c) 1/6 (d) -0.4 (e) -122
b
Which is the closest to 2142? (a) 0 (b) 3 (c) 0.5 (d) 0.4
b
What is the closest to 2/7 in -2/5, 0.1678, -0.3, 1/10?
0.1678
What is the closest to 0.1 in 0.5, 1, -33, -176?
0.5
What is the nearest to 0.1 in 2/15, 9, 27?
2/15
What is the closest to -13/2 in -7, -5/2, 4?
-7
Which is the nearest to 1? (a) -5 (b) 2/49 (c) -35
b
Which is the closest to 243? (a) 2/13 (b) 0.2 (c) 4
c
What is the closest to 2/7 in 20, -2/163, -2/7, -2/15?
-2/163
Which is the nearest to -15? (a) -0.2 (b) -1/4 (c) 0.08 (d) -1
d
What is the nearest to 0.1 in 1/5, -7.1, 59, 1?
1/5
What is the nearest to 0 in 48001, -3, -0.4?
-0.4
Which is the closest to 2/5? (a) 4 (b) 1 (c) 109
b
Which is the closest to 2/3? (a) 0 (b) -1794 (c) 3/2 (d) -1/91
a
What is the closest to 2/5 in 0, -11, 0.11, -1?
0.11
What is the closest to -0.1 in 2/9, -0.3, 2.28, -75, -3?
-0.3
What is the closest to -9 in -18.84, 2, 4?
-18.84
What is the nearest to 0.04 in 2, 0.16, -0.1, 9?
0.16
What is the closest to -0.1 in -2/7, -2/5, 54/31, -2, 2/15?
-2/7
What is the closest to -5 in -0.034, 45/16, 0.3?
-0.034
What is the closest to -4/9 in 1, -0.1, 0.3, -5, 277?
-0.1
What is the nearest to -2/5 in -0.1, 2.35, 5, 3/4?
-0.1
What is the nearest to -2/7 in -0.49, 22, 1, -2, 2?
-0.49
Which is the closest to -9? (a) 18 (b) 0.064 (c) -0.1
c
What is the nearest to 1 in -5, 10583, 2/7?
2/7
What is the closest to -0.4 in 28/5, 3, 1/4, 781, -0.3?
-0.3
What is the closest to 2 in -16, 0.0326, 0.4, 0.1?
0.4
Which is the closest to 65? (a) 68 (b) -2/13 (c) -1 (d) -5
a
What is the nearest to -3 in 1, 2/105, 132, 0, 3/8?
0
What is the closest to -0.1 in -232, -0.11, -5, 0.3?
-0.11
What is the nearest to 6.65 in -2/13, -0.5, 4?
4
What is the closest to 8 in -4, 0.02, 13735?
0.02
What is the nearest to 0.01 in -7, 3, 135?
3
What is the closest to -12/25 in 1.4, -1, -2/7, 81?
-2/7
Which is | {
"pile_set_name": "DM Mathematics"
} |
ich is the closest to -0.3? (a) z (b) w (c) 5
b
Suppose -7*z + 8*z + 44 = 0. Let j = 134/3 + z. Let m = 12 - 7. Which is the nearest to j? (a) -2 (b) m (c) 2
c
Let z = 4 + -8. Let w = 0.579 - 0.069. Let y = -0.49 - w. What is the nearest to 0 in y, 0.06, z?
0.06
Suppose -z = -0*z + 1. Suppose 124*q + 28 = 128*q. Let d = 15/2 - q. Which is the closest to -1? (a) z (b) 2/11 (c) d
a
Let j = 77/3 - 25. Let d = 4.1 + -4. Which is the nearest to d? (a) j (b) 3 (c) 0
c
Let m be (-1)/(2/(-10))*-9. Let o = m - -46. Which is the closest to o? (a) -1/4 (b) 6 (c) -3
a
Let m = 1.3 + -0.3. Let g be (1/(-1))/(-6*3/90). What is the nearest to m in g, -1/6, 0.3?
0.3
Let q = -157 + 1569/10. Let v(g) = g. Let j be v(-1). Which is the nearest to j? (a) 0 (b) q (c) -1
c
Let d(s) = 3*s - 17. Let r be ((-3)/(-9))/((-4)/(-84)). Let j be d(r). What is the closest to 0 in -0.2, j, 0.1?
0.1
Let i = 0.2536 + 4.7464. What is the closest to -0.1 in i, 4, 1/3, -7?
1/3
Let n = 63.5 + -192. Let b = 128 + n. What is the nearest to -3 in b, 1/3, 2/9?
b
Let n = -1698 + 1698. What is the nearest to n in -6/7, 0.5, 3/8?
3/8
Let h = -4.676 + -0.324. Which is the nearest to -3/23? (a) 2 (b) 3 (c) h
a
Let z = 21 + -8. Suppose z*u - 11*u + 22 = 0. What is the closest to 0.2 in u, -0.5, 0.4?
0.4
Let o = -32 - -32. Let i = -17 + 27. Let n be i/42 + 4/(-6). What is the nearest to o in 2, n, 3/2?
n
Let d = 3.3 - 0.3. Let w = -0.1 - 6.9. Let t = 7.1 + w. What is the nearest to -0.1 in d, t, -1?
t
Let p = 0.765 + 0.075. Let m = 3.84 - p. What is the nearest to m in 0.3, -3, 1/10?
0.3
Let q = -436 - -436. Which is the closest to q? (a) -1 (b) -0.18 (c) 0
c
Suppose 53*s = 56*s - 12. What is the nearest to 2/3 in s, -4, 0.1?
0.1
Let k(t) = -t**2. Let s be k(-1). Let p = s + 3. Let y = 220 - 216. Which is the closest to 1? (a) y (b) p (c) -0.1
b
Let v be 2*(-1)/(-140)*10. Which is the closest to 0.03? (a) v (b) 0.16 (c) 1/2
a
Let j = -1.72 + 1.22. What is the closest to 2/7 in 0, j, 2/5?
2/5
Let b = 2.5 + -3. Let r = 1 - 1.1. What is the closest to r in b, -1/3, -0.04?
-0.04
Let j(z) = z**2 + 8*z + 6. Let h be j(-8). Let d be 0/1 + h/9. Which is the nearest to d? (a) 4 (b) 0.4 (c) -3
b
Let x be (4*(-2)/(-60))/(-1). Let k = 70 + -69.9. What is the nearest to -1/3 in -0.1, k, x?
x
Let q = 6.5 - 6.8. Which is the nearest to -0.08? (a) 4 (b) 2 (c) q
c
Let m = -1.1105 + 0.1105. What is the closest to 8 in -0.3, -0.2, -5, m?
-0.2
Let s = 2038 - 2039. Let w = -0.1 + 0.1. Which is the nearest to s? (a) 1/12 (b) 3 (c) w
c
Let j = -55.4 - -25.5. Let m = -30 - j. Let s = -2 - 0. Which is the closest to s? (a) -2 (b) m (c) -3
a
Suppose 47 = 2*o + 55. Which is the closest to -0.05? (a) 5 (b) o (c) -0.5 (d) -5
c
Let l = 6 - 17. Let h = l + 9. What is the nearest to -0.2 in 5, h, -0.4?
-0.4
Let j = 3.1 + -3. Let c(v) = -v**3 + 7*v**2 - 3*v - 12. Let p be c(6). Let a be (17/(-51))/((-8)/p). What is the nearest to j in -0.2, a, 3?
a
Let i be (-2)/(-8) + 2 + 210/(-40). Which is the closest to 1? (a) i (b) -0.2 (c) 5/2
b
Let q(y) = -y**3 + 4*y**2 + 6*y - 3. Let j be q(5). Let s = -92.2 - -92.3. What is the closest to -2 in s, -1/7, j?
-1/7
Let s = -0.07 - -0.27. Let v = 3.6 + -4. Let x = -13.2 - -13. Which is the nearest to s? (a) 2/3 (b) x (c) v
b
Let z be 4/6 - 120/126. Let t = 82 + -58. Let s = t - 24.4. What is the nearest to z in 4/3, s, 0?
s
Let q = -10.3 + 7.3. Let z = -0.5 - -0.6. Which is the closest to z? (a) -1 (b) -2/7 (c) q
b
Let p = 0.12 - -19.88. Let y = p - 19.9. Let v = -245/4 + 60. Which is the closest to y? (a) -4 (b) v (c) -5
b
Suppose 132*x + 1 = 133*x + 3*t, 0 = 4*x + 3*t - 4. Let q = -0.01 - 3.99. Which is the closest to x? (a) -0.3 (b) -1/5 (c) q
b
Let n(i) = -38*i + 197. Let r be n(5). What is the nearest to -0.1 in -3, r, -13?
-3
Let v = 13.3 + -13.3. Which is the nearest to v? (a) 6 (b) -11 (c) 2
c
Let j = 597 - 597.2. Which is the closest to j? (a) -10 (b) 0.2 (c) -4 (d) 2
b
Let g = 29 + -28.923. Let q = g + 0.123. Let h = -0.3 + 1.3. Which is the closest to q? (a) 0.5 (b) h (c) 5
a
Let y = -68/5 - -14. Let i = 3460 - 3459.9. What is the closest to i in -0.5, y, -4?
y
Let z(q) = -q**3 + 6*q**2 - 4*q + 3. Let p be z(5). Let i be (p/(-450))/(16/(-24)). Let k = i + 16/25. Which is the closest to k? (a) 4 (b) -5 (c) 5
a
Let v be (-3)/9 - (4 - 9) - 4. Let o = -0.12 + -2.88. Which is the nearest to v? (a) -0.3 (b) -1/5 (c) o
b
Suppose 4*r - 9 = -2*w + 11, 5*w - 14 = -4*r. Suppose 0 = -r*z + 4 - 4. Which is the nearest to 0.4? (a) z (b) -1 (c) 4
a
Suppose 6 = -7*a - 15. What is the closest to 15 in 18, a, 3?
18
Let x = 51/10 - 581/110. Let p be 82/(-16) + 3/24. Which is the closest to 1? (a) p (b) x (c) 2/45
c
Let d(i) = -5*i**3 + i**2 - 2*i + 1. Let l be d(1). Let o be (l/(-30))/(0 - 1). Let k = -2 + 1.9. Which is the closest to k? (a) o (b) 0 (c) 2/9
a
Let n = 23.74 - -0.26. What is the nearest to n in 0, 4, 1?
4
Let j = -14 - -9. Let q = -13.14 - -13. Let n = q + 5.14. What is the nearest to -1/2 in j, n, 0.5?
0.5
Let l = 103 - 157. Let h = l - -54.2. Let x be (-5)/12 - (-2)/3. What is the closest to -0.1 in h, x, 0.5?
h
Let z = -46 - -69. Let i = z - 27. What is the closest to i in 4, -3, -0.3?
-3
Let k = 762.6 + -766. What is the closest to 0.1 in -5, k, -3, 1/5?
1/5
Let y = -7.43 + 37.13. Let v = -30 + y. Which is the nearest to 0? (a) 0.1 (b) 2/5 (c) v
a
Let l = 5.04 - 0.04. Let x = 136 + -136.06. Which is the nearest to -1/4? (a) x (b) -1 (c) l
a
Let c = -50.1 + 50.4. What is the nearest to 1/3 in -5, c, 4, -20?
c
Let z = -1126/3 - -376. Let j = 82 + -58. Let y be (3/4)/((-27)/j). What is the closest to 0.2 in -0.1, z, y?
-0.1
Let d(i) = -2*i**2 - 10*i + 13. Let f be d(9). Let h = 1670/7 + f. Which is the nearest to 2? (a) -0.1 (b) 4/3 (c) h
b
Let g = 749 - 751. Which is the nearest to -1/3? (a) g (b) -3 (c) -5 (d) -0.2
d
Let x = -1345 - -1341. Which is the closest to -1/3? (a) 2 (b) 36/7 (c) x
a
Suppose -71*c - 13 = -73*c - 3*r, 0 = -4*c + 4*r - 4. What is the nearest to -1 in c, -1, -2?
-1
Let t be (-23)/(-4) - 5/1. Let h = t + -13/12. Which is the closest to 2? (a) -1 (b) h (c) -2/7
c
Suppose -4*k + 9 - 1 = 0. Let t = k - 1. Let y be (-4)/112 - 2/(-7). Which is the nearest to -0.1? (a) t (b) y (c) 0.5
b
Let a = 2.8 + -3. Let z = 18 + -14. What is the nearest to a in -1/2, z, 1/5?
-1/2
Let z = 2 + -3. Let h = z + 4. Let s = 2652 - 2656. Which is the nearest to 1? (a) h (b) s (c) 5
a
Let z be (1*2/(-16))/(476/(-56) - -9). Let u = 0.1 + -0.3. What is the nearest to -3 in z, -4, u?
-4
Let d = -138 + 141. Which is the closest to 0? (a) -5/9 (b) 1 (c) d
a
Let a = 0.2 - 0.5. Let d = -29 + 143. Let g = -114 + d. What is the closest to g in a, -5, 2?
a
Let f = 3.1 - 3.1. Let n(d) = d + 8. Let l be n(-12). Let s be 2/l + (-3)/(-2). Which is the closest to s? (a) -0.4 (b) 4 (c) f
c
Let a = -0.0364 - 0.3636. What is the closest to -1 in 3, a, 1/8, 1/7?
a
Let t = -0.086 - 7.514. Let q = t - -7.9. Which is the nearest to -2/9? (a) 3/5 (b) 2/15 (c) q
b
Let n = -20.2 + 22.2. What is the closest to n in 0.3, -4, 6, 5?
0.3
Let o = -623 - -622.9. Let n = 1267/9 - 141. Which is the closest to n? (a) 1 (b) 5 (c) o
c
Let g(r) be the first derivative of r**3/3 + 5*r**2/2 - 3*r + 11. Let j be g(-5). Let n = 2 + -1. Which is the closest to n? (a) j (b) 0 (c) 3
b
Let d = -5794 + 5789. Let l be (-1)/(-2)*8/10. Let j be 14/(-12) + 4/(-12). What is the closest to l in 4, d, j?
j
Let w = -44.54 - -44.24. Let x = 3 + -2.5. Let b be (1/5)/(1/2). What is the nearest to -1 in w, x, b?
w
Let c = 17 - 17.1. Let l = -6/275 + -4/25. What is the nearest to -1 in l, 1/9, c?
l
Let h = 3 + -5. Let b = 314 + -373.1. Let r = b - -59. What is the closest to 8 in r, h, 3?
3
Let m = 58 - 60. Let x(n) = n + 10. Let g be x(-6). Suppose 0 = 2*h - k - 2 + 5, 5*k - 21 = g*h. Which is the closest to h? (a) -3 (b) -0.2 (c) m
b
Let m be (3 - (-52)/(-20)) + 12/(-105). Let f = -0.4 - -0.5. Which is the nearest to f? (a) 3 (b) 4 (c) m
c
Let m = -15.4 + 15. What is the closest to 0 in -1, -37, m?
m
Let w be (6/24)/((-20)/(-16)). Which is the closest to 1.7? (a) -2 (b) 0.03 (c) w
c
Let r(y) = -2*y - 3. | {
"pile_set_name": "DM Mathematics"
} |
et z = c - 1. Let p = 197 + -194. Calculate the greatest common factor of z and p.
1
Let v = -348 - -468. Calculate the greatest common factor of 264 and v.
24
Let l = 146 - 141. Suppose 5*p = -15, 5*g + l*p + 4 = 44. Calculate the highest common divisor of 88 and g.
11
Let d be ((-1)/2)/((-5)/250). Suppose -2*k - d = -7*k. Suppose k*m - 144 - 256 = 0. Calculate the highest common factor of 16 and m.
16
Let w be (30/(-10) - -1) + 263. Calculate the greatest common divisor of w and 609.
87
Let q(b) = -2*b**2 + 25*b - 10. Let t be q(12). Suppose -2 = -2*j + 3*j - 2*l, 5*j + t*l - 38 = 0. What is the greatest common factor of 3 and j?
3
Let h be ((-28)/18)/(1/(-117)). What is the highest common divisor of h and 416?
26
Let n be ((-315)/(-70))/((-1)/((-280)/6)). Calculate the greatest common divisor of 30 and n.
30
Suppose 4*l + 4*g = -44, -3*g = -5*l - 24 - 39. Let c(u) = 3*u + 56. Let q be c(l). What is the highest common divisor of q and 25?
5
Let y(d) = -5*d + 6*d + 0*d - 4. Let z be y(11). Let p(t) = t**3 - 5*t**2 - 9*t - 2. Let x be p(z). What is the highest common factor of x and 3?
3
Let y(h) = -h**3 - h**2 - h + 20. Let u be y(0). Let x(i) = -19*i - 31. Suppose -8*c - 26 - 46 = 0. Let j be x(c). What is the highest common factor of j and u?
20
Let t(z) = -2*z - 1. Let u be t(-2). Suppose 5*d - q - 3*q = 170, 0 = -d - u*q + 34. Suppose -5*s + d = -11. Calculate the highest common factor of s and 6.
3
Let t = 40 + -41. Let s be t/((-4)/(-132)*-3). Calculate the highest common factor of 110 and s.
11
Let j be (-350)/(-45) + 6/27. Calculate the highest common divisor of j and 36.
4
Suppose 33 + 534 = 9*t. Let d = 41 + -20. Suppose -4*w = -w - d. Calculate the greatest common factor of t and w.
7
Let t be 15/(-135)*-45*(-156)/(-10). What is the highest common divisor of t and 1482?
78
Let q be (-456)/15 + (-4)/(-10). Let t = q + 40. What is the greatest common divisor of t and 90?
10
Let g = 69 + -33. Calculate the greatest common divisor of g and 36.
36
Suppose 3*k + w - 6*w = -4, -2*w + 4 = 0. Let c be ((-90)/75)/(k/(-200)). Calculate the greatest common factor of 12 and c.
12
Let x be -6 - 4 - -5 - -159. What is the highest common divisor of 98 and x?
14
Let w = -48 + 52. Suppose -3*c - 5*h = -c - 48, w*h - 58 = -3*c. What is the highest common divisor of c and 28?
14
Let t be (0/(2 + 0))/(-4 + 2). Suppose 2*d - 119 = n - t*n, -3*d + 4*n = -166. Calculate the greatest common factor of 93 and d.
31
Suppose -4*k - k = -3*v + 540, 0 = 5*v + 4*k - 900. Calculate the highest common factor of v and 9.
9
Let s(q) = q**3 - 4*q**2 - 4*q + 12. Suppose -9 = -3*g - 0. Let a = g - -2. Let v be s(a). What is the greatest common divisor of v and 153?
17
Suppose 3*u - 54 = -12. Suppose 4*q - 78 = 3*w, 4*q + 4*w = -15 + 107. Calculate the greatest common factor of q and u.
7
Suppose 2*p = m + 119, -17 + 23 = -2*m. Calculate the highest common factor of 20 and p.
2
Suppose -2888 = -2*d - 6*d. Let f = d + -109. Calculate the highest common divisor of f and 36.
36
Let r(z) = -z**2 - 5*z - 2. Let m be r(-4). Suppose -5*g + 2*f + 14 = 0, -2*g - m*g + 3*f + 14 = 0. What is the highest common factor of 10 and g?
2
Let b be ((-1)/(-4) - 50/(-40))*42. What is the highest common factor of 18 and b?
9
Let f = -40 - -183. Let g(d) = d**2 - 8*d - 2. Let z be g(8). Let q = 15 + z. What is the greatest common divisor of f and q?
13
Let b = 17 + -41. Let d be ((-54)/b)/(1/8). Let w = d + 147. What is the highest common divisor of 15 and w?
15
Suppose 4*s = -5*m + 247, s - 2*m - 52 = 13. Calculate the highest common divisor of s and 18.
9
Suppose 5*k = 25, -8*s - 2*k - 134 = -10*s. Suppose f = -f + 14. Let l be f - -1*(-3 + 4). What is the highest common divisor of l and s?
8
Let r = 129 - 105. Calculate the greatest common divisor of r and 8.
8
Suppose -9*k + 36 = -13*k. Let z be (-5 - k) + (-36)/(-1). What is the highest common factor of z and 16?
8
Let g be -2*4*(-1)/(-2). Let o be 1 + g/(-2) + 51. Let r(a) = a**3 + 28*a**2 - 32*a - 60. Let q be r(-29). What is the highest common divisor of o and q?
27
Suppose -66 = -11*p + 8*p - u, 0 = 3*p + 4*u - 75. Calculate the highest common divisor of 42 and p.
21
Suppose 8*y = 2*y + 6. What is the greatest common factor of y and 3?
1
Suppose -4*m = -6*m - 38. Let q = m - -53. Suppose 4*y = 6*y - q. Calculate the greatest common factor of 34 and y.
17
Let n be -1 + -4 + 715/13. What is the greatest common factor of 250 and n?
50
Suppose -w - 17 = 5*y - 49, 5*w - 100 = -5*y. Let s = w + -13. Suppose -s*l - l = -100. Calculate the highest common factor of l and 60.
20
Suppose 3*k - 404 = 295. Suppose -3*v + k = -178. Let h = -97 + v. What is the greatest common factor of h and 16?
8
Let i = 150 + 130. What is the highest common divisor of i and 56?
56
Suppose 2*u = -3*k + 345, 5*k + 80 = 4*u - 599. What is the highest common factor of u and 228?
57
Let s(y) = 9*y - 18. Let v be s(7). Let l = -29 + v. What is the greatest common factor of l and 144?
16
Let x be 19/(760/176) - (-2)/(-5). Let f = x - -315. Calculate the highest common factor of 29 and f.
29
Let g be ((-550)/(-33) - 16)/((-2)/(-825)). What is the greatest common factor of g and 11?
11
Let s be (-25 + 16/4)*(0 + -1). What is the highest common divisor of s and 6?
3
Let q(w) = -12*w**2 + 63*w - 15. Let o be q(4). Calculate the highest common divisor of 261 and o.
9
Let h be ((-42)/8)/(36/(-480)). Calculate the highest common divisor of 20 and h.
10
Let z = -402 - -419. Suppose 7*t - 4*t - 80 = -f, 4*f + 4*t = 288. Calculate the greatest common factor of f and z.
17
Suppose 0 = 3*c - 2 - 1. Suppose -4*m = -z + 31, -5 = -4*m - c. Let i = z - 11. What is the greatest common divisor of 16 and i?
8
Suppose 2*s + k = 4*s - 57, 141 = 5*s - 2*k. What is the greatest common factor of 297 and s?
27
Let r(g) = -48*g - 4. Let w be r(2). Let b = 2 - w. What is the highest common factor of b and 34?
34
Let i be (1/2)/((-3)/(-24)). Suppose k = -i, -6*k - 8 = 2*a - 2*k. Calculate the greatest common divisor of 44 and a.
4
Let w(q) = -2*q**2 + 98*q + 66. Let p be w(49). Calculate the highest common factor of 22 and p.
22
Suppose -223 = 9*a - 1114. What is the highest common factor of 77 and a?
11
Let g be 8/6*(-36)/(-24). Suppose 150 = g*f + 3*y, 3*f - 2*f - 73 = -2*y. Calculate the highest common factor of f and 9.
9
Let p(a) = 2*a**2 - a + 39. Let n be p(0). What is the greatest common divisor of 195 and n?
39
Suppose -12 = -0*l - 3*l. Suppose 0*c + 2*c + 24 = 3*n, l*n = -3*c - 70. Let x = c - -58. Calculate the highest common factor of 60 and x.
20
Let d(v) = 10*v - 53. Let k be d(5). Let g be (6/(-5))/(3/(-15)). Let r be k + g + 53 + 1. Calculate the highest common factor of r and 38.
19
Let f(a) = a + 76. Let u be f(24). Calculate the greatest common factor of 160 and u.
20
Suppose -5*c + 16 = 3*l, 11*l - 2*c = 15*l - 12. What is the highest common factor of 50 and l?
2
Let q be ((-20)/(-25))/((-4)/(-150)). Let g = 175 - 277. Let d = g - -177. Calculate the highest common factor of d and q.
15
Let d be (-1 - (-44)/6)*(32 + -29). What is the greatest common divisor of d and 95?
19
Suppose 20 = 5*t - 3*t - 4*n, 4*t = -n + 76. What is the greatest common divisor of t and 405?
9
Suppose -182 = -a + 2*b - 125, b - 99 = -2*a. Calculate the highest common divisor of a and 17.
17
Let u(q) = -3*q**3 - 13*q**2 + 10*q - 1. Let o be u(-6). Calculate the greatest common divisor of o and 35.
7
Suppose -t - 3*t + 180 = 0. Suppose 0 = -9*a + t + 99. Calculate the highest common factor of a and 4.
4
Let g(s) = 5 - 4 - 4 - 4 - 3*s + s**2. Let j be g(5). Suppose -12*z - 30 = -14*z. Calculate the greatest common factor of j and z.
3
Let q be 4/16 + (1 - 108/(-16)). Suppose -3*t + 14 = v, 2*t + v = 2*v + 6. What is the greatest common divisor of t and q?
4
Suppose -89 = -8*n + 871. Let l = n - 68. What is the greatest common factor of l and 26?
26
Suppose 5*o - 432 = -7*o. Suppose -3*i = 2*s - o, -s - 10 = 3*i - 22. Calculate the highest common divisor of 6 and s.
6
Let y(l) = 164*l - 3. Let w be y(1). What is the greatest common factor of 21 and w?
7
Let h = 642 - 603. What is the highest common factor of h and 143?
13
Let s(r) = r**2 + 13*r + 12. Let t be s(-1). Suppose -4*c - p + 367 = t, -2*p = | {
"pile_set_name": "DM Mathematics"
} |
t c(d) be the second derivative of d + 0 - 1/135*d**6 + 0*d**3 - m*d**4 + 0*d**2 - 1/45*d**5. Factor c(r).
-2*r**2*(r + 1)**2/9
Let s(f) = -7*f**4 + 12*f**3 - 3*f**2 - 7*f + 15. Let j(r) = 6*r**4 - 12*r**3 + 4*r**2 + 8*r - 14. Let p(u) = 5*j(u) + 4*s(u). Factor p(b).
2*(b - 5)*(b - 1)**2*(b + 1)
Factor 3/4*w**3 - 9/4*w + 0*w**2 - 3/2.
3*(w - 2)*(w + 1)**2/4
Find p, given that -30*p**3 + 44*p**2 - 24 + 82*p**3 - 20*p**4 - 56*p + 0*p**2 + 4*p = 0.
-1, -2/5, 1, 3
Let k(y) be the first derivative of y**6/36 - 4*y**5/45 - 19*y**4/36 - 2*y**3/3 - 3*y**2 - 6. Let p(g) be the second derivative of k(g). Factor p(z).
2*(z - 3)*(z + 1)*(5*z + 2)/3
Suppose 23*x - 48 = 11*x. Let q(o) be the first derivative of 0*o**2 - 2/9*o**3 + 1/15*o**5 - 1 + 0*o - 1/12*o**x. Factor q(y).
y**2*(y - 2)*(y + 1)/3
Let i(j) be the second derivative of j**7/1260 - j**5/60 + j**4/4 + j. Let c(t) be the third derivative of i(t). What is h in c(h) = 0?
-1, 1
Let f(v) be the second derivative of -2*v**4/9 + 7*v**3/9 + 2*v**2/3 - 12*v. Factor f(o).
-2*(o - 2)*(4*o + 1)/3
Let a(l) be the second derivative of -1/18*l**4 - 2/3*l**2 + 0 - 7*l + 1/3*l**3. Factor a(m).
-2*(m - 2)*(m - 1)/3
Let a(j) be the second derivative of -j**9/60480 - j**8/26880 + j**7/10080 + j**6/2880 + j**4/4 - j. Let g(h) be the third derivative of a(h). Factor g(b).
-b*(b - 1)*(b + 1)**2/4
Let m(q) be the second derivative of -q**4/102 + 2*q**3/51 - q**2/17 + 9*q. Factor m(n).
-2*(n - 1)**2/17
Let h be ((-2)/(-1) - 4)/(8/(-16)). Factor 2/9*p**5 + 2/9*p - 8/9*p**h - 8/9*p**2 + 0 + 4/3*p**3.
2*p*(p - 1)**4/9
Let x(k) be the second derivative of -k**7/42 + k**6/15 - k**4/6 + k**3/6 - 5*k. Factor x(t).
-t*(t - 1)**3*(t + 1)
Let l(k) be the first derivative of -1 - 4/3*k**3 + 0*k - 1/600*k**5 + 0*k**4 - 1/1800*k**6 + 0*k**2. Let b(z) be the third derivative of l(z). Factor b(a).
-a*(a + 1)/5
Let u be 9*(57/(-15) + 4). What is f in 0 - 6/5*f + u*f**2 = 0?
0, 2/3
Let y = 90 - 88. Let k(x) be the third derivative of 0 + 1/60*x**4 - 4*x**y - 1/150*x**5 + 0*x + 0*x**3. Find c, given that k(c) = 0.
0, 1
Let n(h) be the first derivative of -64*h**3/3 - 16*h**2 - 4*h - 16. Factor n(g).
-4*(4*g + 1)**2
Let z(b) be the second derivative of -b**7/210 + b**5/60 + b**2/2 - 6*b. Let f(p) be the first derivative of z(p). Factor f(n).
-n**2*(n - 1)*(n + 1)
Let u(w) be the second derivative of -1/3*w**3 + 0 + 1/6*w**4 + 3*w - 2*w**2. Factor u(q).
2*(q - 2)*(q + 1)
Find d, given that 4/3*d - 4/3 + 1/3*d**2 - 1/3*d**3 = 0.
-2, 1, 2
Let w(h) be the third derivative of -h**7/42 + h**6/12 + h**5/4 - 5*h**4/6 - 10*h**3/3 - h**2. Factor w(d).
-5*(d - 2)**2*(d + 1)**2
Let d(q) be the first derivative of 4/7*q**5 + 6 + 0*q**2 + 0*q + 1/7*q**4 - 4/21*q**3 + 2/7*q**6. Determine c, given that d(c) = 0.
-1, 0, 1/3
Factor -1/3*m**2 + 0 + 0*m + 7/6*m**3 + 2/3*m**4.
m**2*(m + 2)*(4*m - 1)/6
Let c(b) be the third derivative of b**6/60 + b**5/30 - b**4/2 - 36*b**2. Factor c(a).
2*a*(a - 2)*(a + 3)
Suppose -1 = -2*r + 3. Let d be -1*(r - 1 - 1). Factor 2/3*z + d + 4/3*z**2 + 2/3*z**3.
2*z*(z + 1)**2/3
Factor 40*j**2 + 4 - 80*j**2 + 12*j**2 - 16*j**3 - 8*j.
-4*(j + 1)**2*(4*j - 1)
Let o(x) = -2*x**3 + 4*x**2 - x - 4. Let i(j) = 9*j**3 - 17*j**2 + 4*j + 17. Let m(n) = -6*i(n) - 26*o(n). Find g, given that m(g) = 0.
-1, 1
Let b(o) = 23*o**2 - 23*o - 13. Let l(z) = 11*z**2 - 11*z - 6. Let k(p) = 6*b(p) - 13*l(p). Factor k(g).
-5*g*(g - 1)
Let -2/3 - 2/9*f**2 - 8/9*f = 0. Calculate f.
-3, -1
Let d(n) be the third derivative of n**7/16380 + n**6/2340 - n**4/12 - 7*n**2. Let q(j) be the second derivative of d(j). Factor q(p).
2*p*(p + 2)/13
Let g be -1 + (42/12 - 5/(-2)). Find m such that 0 - m**2 + 0*m**4 - 3/2*m**3 + 1/2*m**g + 0*m = 0.
-1, 0, 2
Let u = 1/27 - -35/27. Suppose -j + 3 = 1. Factor j*k**2 - 10/3*k - u.
2*(k - 2)*(3*k + 1)/3
Determine d, given that -1/10*d**2 - 1/10 - 1/5*d = 0.
-1
Let c be -1*((-631)/210 - -3). Let d(k) be the third derivative of -1/84*k**4 - 1/735*k**7 + 1/420*k**6 + c*k**5 + 0 + 0*k**3 + 0*k + 2*k**2. Factor d(m).
-2*m*(m - 1)**2*(m + 1)/7
Suppose -5*l + 26 = 1. Let o(w) = -w**2 - 6*w. Let j(b) = -2*b**2 - 9*b. Let d(z) = l*j(z) - 7*o(z). Factor d(t).
-3*t*(t + 1)
Let u(s) be the third derivative of s**9/7560 - s**8/3360 - s**7/1260 + s**6/360 - s**4/3 + 3*s**2. Let r(c) be the second derivative of u(c). Factor r(n).
2*n*(n - 1)**2*(n + 1)
Let i(d) = -2*d - 8*d**2 + 0*d**3 + 2 - 7*d - 4 - 5*d**3. Let c(a) = 5*a**3 + 7*a**2 + 9*a + 2. Let k(q) = 4*c(q) + 5*i(q). Factor k(o).
-(o + 1)**2*(5*o + 2)
Let d(m) be the third derivative of -m**5/5 - m**4/8 + 5*m**2. Factor d(a).
-3*a*(4*a + 1)
Let j(k) be the second derivative of k**7/840 - k**6/40 + 9*k**5/40 + k**4/3 + 5*k. Let n(l) be the third derivative of j(l). Factor n(g).
3*(g - 3)**2
Let u(t) be the second derivative of -t**7/231 + 4*t**6/165 - 3*t**5/55 + 2*t**4/33 - t**3/33 + 3*t. Determine k, given that u(k) = 0.
0, 1
Solve 2/9*f**2 + 0 - 2/9*f = 0 for f.
0, 1
Let q(y) be the second derivative of -y**5/90 + 5*y**4/54 - 2*y**3/9 + 31*y. Find z such that q(z) = 0.
0, 2, 3
Let v(h) be the first derivative of 3*h**6/8 - 3*h**5/20 - 5*h**4/16 - h**3/12 + 3. Factor v(c).
c**2*(c - 1)*(3*c + 1)**2/4
Determine h, given that -3*h**2 - 3*h**5 + 13*h**4 - 12*h**3 - h**4 + 3*h**2 = 0.
0, 2
Let t be ((-4)/(-5))/((-4)/420). Let q be (8/(-6))/(t/18). Determine w so that -2/7 + 0*w**2 - 4/7*w**3 + q*w**4 + 4/7*w = 0.
-1, 1
Let u(i) be the second derivative of 3*i**5/160 + 7*i**4/32 - 17*i**3/16 + 27*i**2/16 - 2*i - 40. Factor u(j).
3*(j - 1)**2*(j + 9)/8
Let k(i) = 2*i**2 + i + 1. Let y be k(-1). Determine d so that 0*d + d**3 + d**3 - 2*d**2 - 2*d + y*d**4 = 0.
-1, 0, 1
Suppose -4*h + 0 + 4 = 0. Suppose -4*t + 21 = -2*m + 7, t + m + h = 0. Factor -1/2*w**3 + 2*w**t - 5/2*w + 1.
-(w - 2)*(w - 1)**2/2
Suppose -4*m + 0*m = -12. Factor 2*h**2 - 1 + m - 1 - 3*h**2.
-(h - 1)*(h + 1)
Let d(r) be the third derivative of r**5/300 + r**4/40 + 5*r**2. Factor d(m).
m*(m + 3)/5
Factor j**2 + 63*j**3 + j**4 - 34*j**2 - 3*j**5 - 2*j**4 - 26*j**4.
-3*j**2*(j - 1)**2*(j + 11)
Let l(g) be the first derivative of g**6/60 + 2*g**5/15 + 5*g**4/12 + 2*g**3/3 - g**2/2 + 5. Let u(t) be the second derivative of l(t). Factor u(f).
2*(f + 1)**2*(f + 2)
Let u(r) be the first derivative of -1/6*r**2 + 2/3*r - 2 - 1/9*r**3. Let u(a) = 0. What is a?
-2, 1
Let p(z) be the second derivative of 3*z + 0 - 1/20*z**4 + 0*z**2 + 3/10*z**3. Let p(o) = 0. What is o?
0, 3
Let g be 10/60 - (-1)/(-66). Let n = 13/11 + g. Solve -2/3*f**3 + 0*f**2 + 2*f + n = 0.
-1, 2
Let r = 988 + -44458/45. Let o(u) be the second derivative of u + 1/63*u**7 - r*u**6 + 0*u**2 + 0 - 1/9*u**3 + 0*u**5 + 1/9*u**4. Solve o(x) = 0 for x.
-1, 0, 1
Solve 108/5 + 4/5*q**5 + 324/5*q + 44/5*q**4 + 184/5*q**3 + 72*q**2 = 0 for q.
-3, -1
Suppose -38 = -4*b + 98. Solve -7*r**4 + 42*r**3 + b*r**4 + 21*r**2 + 3*r**3 + 3*r = 0.
-1, -1/3, 0
Let m(c) be the third derivative of c**9/54432 - 13*c**8/90720 + c**7/5670 + c**6/810 + c**5/60 - 4*c**2. Let p(q) be the third derivative of m(q). Factor p(d).
2*(d - 2)*(d - 1)*(5*d + 2)/9
Let f be 1/(-3) - 2/3. Let l = f - -3. Solve -2*k**l + k + k**3 - 2*k + 2*k = 0.
0, 1
Let i = -1297 - -9109/7. Factor -18/7*k + i*k**2 + 2/7 + 50/7*k**3.
2*(k + 1)*(5*k - 1)**2/7
Let o = -3 + 7. Suppose 8 = o*m + 5*k, -k + 0*k - 6 = -3*m. Factor -8/7*y**m - 4/7 - 10/7*y - 2/7*y**3.
-2*(y + 1)**2*(y + 2)/7
Let 4/11*a**3 - 2/11*a + 0 + 0*a**4 - 2/11*a**5 + 0*a**2 = 0. What is a?
-1, 0, 1
Let j(f) be the first derivative of 7*f**6/20 - 29*f**5/30 + f**4/3 + 4*f**3/3 - 3*f**2/2 + 3. Let b(x) be the second derivative of j(x). Solve b(l) = 0.
-2/7, 2/3, 1
Suppose 3*q = 2*a + 106, -4*a = -0*q - q + 202. Let d be (40/a)/((-6)/10). Find m such that d - 4/3*m**2 + 14/3*m**3 - 14/3*m = 0.
-1, 2/7, 1
Suppose -3*d = -d - 8. Factor m**d + m**5 + 5*m**5 - 7*m**5.
-m**4*(m - 1)
Let a(n) be the first derivative of -4*n**5/5 + 8*n**3/3 - 4*n + 8. Factor a(t).
-4*(t - 1)**2*(t + 1)**2
Factor 1/8*q**5 + 0*q - 1/8*q**2 + 0 - 1/8*q**3 + 1/8*q**4.
q**2*(q - 1)*(q + 1)**2/8
Suppose i - 4*n - 2 = 0, -11 = -i - 3*n - 2*n. Let u(o) = -o**2 + 6*o + 2. Let z be u(i). Factor 0 - 2/7*p - 18/7*p**3 - z*p**4 - 4/7*p**5 - 10/7*p**2.
-2*p*(p + 1)**3*(2*p + 1)/7
Let d | {
"pile_set_name": "DM Mathematics"
} |
et x be (1 - 45/12)/((-7)/(-8)). Does u = x?
False
Let f = -30055/41 + 733. Suppose -u + 4*u = 0. Which is smaller: f or u?
f
Let s = -0.06 - 0.06. Let u = s + 0.42. Let l = u - 0.6. Which is greater: -1/5 or l?
-1/5
Let j(n) = -4*n**2 - 3*n + 8. Let l(w) = -w**2 + w - 1. Let v(k) = j(k) + 6*l(k). Let g be v(-1). Which is bigger: -8 or g?
-8
Let x be (14/3 + -3)*(1 + 2). Suppose 0 = 3*h - x*d - 43, 6 = 4*d + 26. Which is bigger: h or 44/9?
h
Let v = 179 + -162. Suppose -72 = -2*g + 7*s - 2*s, -s + 91 = 3*g. Suppose -3*w - 4*h = -5*h - v, -4*w + g = -3*h. Is w greater than 2?
True
Let c = -3.9199 - 0.3061. Let k = c - -0.026. Let l = 4 + k. Which is smaller: 3 or l?
l
Let n = 29 - -118. Let r be -3*((-154)/n - (-2)/(-7)). Does r = -3?
False
Let f be 18/(-48) - 239/24. Suppose -2*l = -5*l - 30. Is l smaller than f?
False
Suppose 4 = 5*p - 3*p. Suppose k - 10 = 4*a, -a - a = p*k. Which is greater: 12 or k?
12
Let y = -0.241 - -0.141. Which is greater: y or 45/2?
45/2
Suppose 2*f - 2*l + 17 = l, 0 = 3*f + 3*l + 18. Let u = -15 - f. Let b be u/(1 + -3) - -4. Does b = 8?
True
Suppose -2*u = 5*z + u + 5590, -4*u - 1135 = z. Let v = 12253/11 + z. Which is bigger: v or 0?
0
Let d(i) = -i - 6. Let r be d(-6). Let b be (9/(-6))/(2/4). Let u be (-6)/b - 76/36. Which is bigger: u or r?
r
Suppose 446 = 10*n + 4206. Is -377 greater than n?
False
Suppose 3 = 2*h + 5. Let f be 4*h*1/2. Suppose -4 = 4*l + o + 2, -5*l = 3*o + 4. Is l at most f?
True
Suppose -y = 5*i + 2*y + 80, 0 = 3*i + 4*y + 48. Let q be (i/12)/(-4)*9. Suppose 0 = 2*c + q - 7. Which is smaller: c or 0?
0
Let t be (-6)/(-8)*16/(-4). Let r be t + (-6)/(-3) + 0. Let m be ((-3)/4)/(2736/(-384)). Is r <= m?
True
Let d be 115 + -109 + (-466)/80. Does d = -1?
False
Let s = -51/11 + 398/55. Let v = s + -3. Is -1 less than or equal to v?
True
Let r = -7 - 11. Let j = 27.2 - 27. Which is greater: j or r?
j
Let u = -51 + -2. Let y = u - -34. Is -19 != y?
False
Let g(d) = d**3 + 6*d**2 + 1. Let n be g(-6). Let m = 6920 + -1100276/159. Let a = -533/2226 + m. Which is greater: n or a?
n
Let k be ((-6)/(-1 - 2))/(1*-2). Is 1/524 not equal to k?
True
Let k be 1/3 - (-26)/(-33). Suppose 2*p - 8 = z, -4*p + 3*z + 26 = 6. Suppose -7*q + p*q = 0. Which is smaller: k or q?
k
Let a be 4*(-3)/(6*-1). Suppose 0*r + 8 = -a*r. Let j be (-5)/(-11)*r/(-10). Is j greater than 1?
False
Let b = -15061/2832 - -85/16. Which is bigger: 1 or b?
1
Suppose -4*u - 2*p = -3*p, -5*u + 25 = 5*p. Let t be -7 + 78/12 - (-6)/8. Which is bigger: u or t?
u
Let i = 48 + -11. Suppose -i + 13 = 4*o. Which is smaller: o or -3?
o
Let g be (-1)/3 - 26/(-6). Let i = g + -2. Suppose 0 = -2*z + i*r - 6, -7*r + 7 = z - 3*r. Which is greater: z or -3/4?
-3/4
Let r be 11/(-33) - (-4)/3. Suppose 2*x = r + 1. Let h = 8 - x. Is 6 bigger than h?
False
Let d = 250297/10 + -24996. Which is bigger: d or 35?
35
Let b = -13989 - -13989. Let x be 1*4 - (-3)/3. Let i = x - 7. Are b and i nonequal?
True
Let k(o) = -o**2 - 10*o - 4. Let t be k(-9). Let w = -5 + -42. Let s = -46.9 - w. Which is smaller: t or s?
s
Suppose -4*m - 4*v - 16 = 0, 4*m + 0 + 7 = 5*v. Is -29 at most as big as m?
True
Let r = 133 - 139. Which is bigger: -16 or r?
r
Let j be 338/840 - 1/4. Let w = 1/21 + j. Let u = 2.9 - 0.9. Which is bigger: w or u?
u
Let f be (((-88)/363)/(-8))/((-2)/(-6)). Suppose 2*d = -2*d - 2*l + 6, 3*d + 5*l - 22 = 0. Is f equal to d?
False
Let p(g) = -g**2 + 11*g + 2. Let b be p(6). Let t = 535 + -504. Is t greater than or equal to b?
False
Let g be (-24)/(6/3) - -2. Let x(d) be the second derivative of d**4/12 + 7*d**3/6 - 3*d**2/2 + 7*d. Let u be x(-6). Is g greater than u?
False
Suppose -94*k - 181 = -93*k. Which is bigger: k or -180?
-180
Let y be (2/(-12))/(-9*5/20). Let c be 2/(-28)*(-8)/2. Which is smaller: c or y?
y
Let l = -4153/11 + 375. Let w = l + 27/11. Which is bigger: w or -4?
w
Let q = 51 - 54. Let u = q + 2.9. Which is smaller: 0.29 or u?
u
Let p = -581 + 665. Which is smaller: 83 or p?
83
Let q be 90/720 - (-263)/8. Is q smaller than 228/7?
False
Let p(b) = b**2 - 6*b + 17*b - 5*b - 5 + 0. Let y be p(-7). Let j = y - 7. Is -5 smaller than j?
False
Let w(t) = -t**3 + t**2 + 5*t - 16. Let s be w(5). Do s and -91 have the same value?
True
Let c be (-3 - -9*6)*(-853)/33. Let o = c - -1317. Are 0 and o nonequal?
True
Let p = -80 - -95. Let q(h) = -3*h**3 - h**2 + 4*h + 2. Let i be q(-2). Which is bigger: p or i?
p
Let f = -50.1 - 15.9. Let b = -65.4 - f. Which is smaller: -7 or b?
-7
Let w = -1273 - -1272.9. Is w > -305?
True
Let a(l) be the first derivative of l**4/8 + l**3/3 - 3*l**2/2 + 8. Let u(v) be the second derivative of a(v). Let w be u(-1). Is -2 at most as big as w?
True
Let o = 1386 - 1383. Which is smaller: o or 105?
o
Let s = -19 + 33. Suppose 46 = 8*f + s. Let i be 0/(f*(-3)/6). Which is smaller: 1 or i?
i
Let j = 2 + 0. Let p(n) = -2*n**3 + 8*n**2 + 24*n - 7. Let s be p(6). Is j at least as big as s?
True
Let s = -0.12 + 1.12. Which is greater: 45 or s?
45
Let w = 1.262 + -49.162. Which is bigger: w or 2/11?
2/11
Suppose -s - 4*a - 12 = 0, -s - 12 = 2*s + 4*a. Suppose 0*u - 2*u - 48 = s. Which is smaller: -23 or u?
u
Let o(m) = m**3 + 2*m**2 - 3*m - 1. Let u be o(-4). Let x be 2/(-3)*u/140. Let l = -5 - -5. Do l and x have the same value?
False
Suppose n + 7 + 15 = -4*v, 3*n - v + 1 = 0. Let i be (n/(-3))/(12/126). Let j = -9 + 14. Which is smaller: i or j?
j
Suppose -3*q = f - 108, -600 = -5*f - 0*q - 3*q. Let u = -86341/710 + -141/142. Let o = f + u. Is o < 0?
False
Let f be (-1 - 0)/(3/(-12)). Let l(n) = 2*n**2 + 1. Let u be l(-1). Suppose 0*p - 2*p - 5 = -u*c, -3*p + 18 = 4*c. Is f at least as big as c?
True
Let h = 51 - 42. Let d = -11.7 + 1.7. Let y = d + h. Which is bigger: y or -4?
y
Let j be ((133 - -1)/(-2))/(8/32). Which is greater: -267 or j?
-267
Suppose 0 = -0*u - 5*u + 20. Let k = -19 + 22. Is k at least u?
False
Let z = 549 - 27997/51. Let k(j) = 1 - 2 + 2*j**2 - 9 + 19*j - 4*j**2. Let p be k(9). Which is greater: z or p?
z
Let n = -105 - 11. Let l be n/(-8) + (-1)/(-2). Suppose -5*w + 3*z - 9 = 0, 4*w + l = -w + 5*z. Which is smaller: w or 1/6?
w
Let n = 9 + -3. Let u(b) = -b**3 + 4*b**2 + 12*b + 1. Let t be u(n). Let c = -6 - -3. Which is smaller: t or c?
c
Let u = 23 + -11. Suppose -2*o = 2*o - u. Suppose -2*w + 34 = 28. Is w bigger than o?
False
Let g(y) = 2*y**2 - 3*y - 1. Let v(h) = 3*h**2 - 7*h - 3. Suppose s - 1 + 4 = 0. Let b(t) = s*v(t) + 5*g(t). Let z be b(-5). Which is smaller: z or -6/5?
-6/5
Suppose r + 2*k + 2*k - 13 = 0, 5*r = -4*k + 129. Let x = -1407 + 1407. Is x at least r?
False
Let x = -7 + 32. Let n be 0 + 2 + (-6 - 8/(-3)). Which is bigger: n or x?
x
Let j be (-30)/25*((-40)/2)/4. Which is bigger: j or -1?
j
Let a = 7.26 - 2.86. Which is greater: 0 or a?
a
Let h be (2 + 33/(-20))*(-8)/(-28). Suppose 0*v + 3*z = -5*v - 2, 2*z - 6 = 4*v. Which is smaller: h or v?
v
Let i be (1 - 4)*26/(-6). Let t(d) = -8 - 2*d**3 + 14*d**2 + 3*d**3 - 13*d - 2*d**3. Let g be t(i). Are g and 0 nonequal?
True
Let d = -228 - -238. Is 43/4 bigger than d?
True
Let i(k) = 2*k - 2. Let v(z) = 3*z. Let r(l) = i(l) - v(l). Suppose 0 = h - 2 + 4. Let u be r(h). Which is greater: u or -2/3?
u
Let n(i) = -i**2 + 3*i + 7. Let g be n(5). Let r = 9.5 + -11. Let f = 1.7 + r. Is g less than f?
True
Let h = 76 - -20. Let m = -185/2 + h. Which is greater: 5 or m?
5
Let a = -9 - 3. Let k = a - -11.8. Let b = 132 - 126. Do b and k have different values?
True
Let v(i) = -i**3 + 3*i**2 + 2*i - 2. Let j be v(2). Let u = -1 - -5. Let h be ((-7)/(-2))/(u/8). Which is greater: j or h?
h
Suppose 4 = -r - 0, 2*x = 4*r + 30. Let u(j) = j - 6. Let d be u(x). Let i be 1/2*(d + -1). Are i and 2/9 nonequal?
True
Suppose 2*v - 5*s = -s - 4, -10 = -v - 4*s. Suppose v*p - 4 = -0. Is p at most as big as -3?
False
Suppose -1 = -f - 0. Let u(m) = m**2 - 12*m - 2. Let s be u(13). Let t be (-280)/(-880) - ((-2)/s)/(-1). Which is bigger: f or t?
f
Let w(j) be the third derivative of -j**6/120 - 3*j**5/20 - 5*j**4/24 - 2*j**3/3 - 5*j**2. Let r be w(-8). Let z be 2*-2*(-12)/r. Which is smaller: -1 or z?
z
Suppose -4*j + x = 2, -4*j - x - 3 - 3 = 0. Let n be j/(-4) - (-18)/(-8). Let h(r) = -r + 2. Let w be h(2). Are w and n nonequal?
True
Let b be -1 + 0 + 34 | {
"pile_set_name": "DM Mathematics"
} |
64. Let p = 93 + 51. Calculate the greatest common divisor of p and q.
16
Suppose -4*a + 3572 = 3*t, -3*t + 52*a - 47*a + 3608 = 0. What is the highest common factor of 832 and t?
52
Let t = 788 - 356. Suppose 20*v - 29*v + t = 0. What is the greatest common factor of 36 and v?
12
Suppose 0 = 2281*b - 2257*b - 408. What is the highest common divisor of b and 425?
17
Let b(n) = -n**2 + 44*n - 127. Let m be b(41). Let r be 1 + m + -2 + 1 + 92. Calculate the highest common factor of r and 1408.
88
Suppose 22*b - 38*b = -96. What is the greatest common factor of b and 10518?
6
Let k = -6627 - -7567. What is the highest common divisor of k and 80?
20
Suppose 3*r - 684 = -5*c, 3*r - 687 = 2*c - 6*c. Let s = 271 - r. What is the greatest common divisor of s and 38?
38
Let d = 9556 - 9526. Calculate the greatest common divisor of d and 2710.
10
Let p(d) = d**2 - 16*d + 68. Let f be p(9). Let i be 880/(-25)*f/2*-1. Calculate the highest common factor of 72 and i.
8
Let s be (33/6 - 5)/(1*(-1)/(-42)). What is the highest common divisor of s and 111?
3
Let f be (21540/(-25))/(-12) + 3/15. What is the highest common factor of f and 2169?
9
Suppose 0 = 3*h + 4*p - 32, -2*p - 14 = -4*h + 3*h. Let s(x) = 56*x - h - 25*x - 26*x. Let k be s(5). What is the highest common factor of k and 65?
13
Let c = 161 + -99. Suppose 2*d - 71 = 5*v + 363, -4*v - 1736 = -8*d. What is the highest common factor of d and c?
31
Suppose 2*q = -8 - 16. Let f be (-19896)/(-168) - q/21. What is the highest common factor of 68 and f?
17
Let o(x) = x**3 + 16*x**2 + 24*x - 53. Let c be o(-14). Suppose c*b + 580 = 1444. What is the greatest common factor of 8 and b?
8
Let x = -12032 + 12066. Calculate the highest common divisor of 1343 and x.
17
Suppose 23*n - 2006 = -46*n + 10*n. What is the greatest common factor of 142 and n?
2
Suppose g - 1074 = -2*d - 2*d, 3*d = 15. Let b = -606 + g. Calculate the greatest common factor of 56 and b.
56
Let s = 11632 + -11649. Suppose -2*x - 2*x = -192. Let o = s + x. Calculate the greatest common divisor of 248 and o.
31
Suppose 5*v + 0*v - 43 = n, 0 = 3*v + 3*n - 33. Let j be v + 12 - (0 - -1). Let w(q) = 11*q + 3. Let x be w(7). What is the greatest common factor of x and j?
20
Let b(c) = 2*c + 9. Let h be b(0). Let g = 12 - h. Let t = 63 - 30. Calculate the highest common factor of t and g.
3
Suppose 3*c - 18 = -123*q + 118*q, 5*q + 2*c - 17 = 0. Suppose k - 3*w - 31 = 0, -w = q*k - 5*w - 73. What is the highest common divisor of k and 133?
19
Let q be (4 + -2 - 4)*(631 + -800). What is the greatest common divisor of q and 884?
26
Suppose 0 = -4*a - 8, x - 296 = 5*a + 386. Calculate the highest common factor of x and 1232.
112
Let o = -28 + 32. Suppose 0 = m + 3*w - 14, w - o + 2 = -3*m. Let l be ((-57)/(-9))/(m/(-3)). What is the highest common factor of 57 and l?
19
Suppose 4*g + 2*s = 90, 125 = 5*g - 7*s + 12*s. Let n be (-2308)/(-8) - (-9)/6. Calculate the greatest common divisor of n and g.
10
Let m = -26 + 26. Suppose m = z - 232 - 28. Let s be (40/(-50))/((-2)/z). Calculate the greatest common divisor of 156 and s.
52
Suppose -24 = 3*i + 5*i. Let s(b) = -9*b**2 - 5*b - 4. Let y be s(i). Let o = 74 + y. What is the greatest common factor of 76 and o?
4
Suppose 3*o + o = 68. Suppose -262*j + 7854 = -220*j. Calculate the greatest common divisor of o and j.
17
Suppose -3*x + 108 = 5*v, 0 = -3*v - 15*x + 13*x + 64. Let h = -889 + 1201. What is the highest common factor of h and v?
24
Let w(z) = -20 + 27 + 9*z + 40 + 31 + 2. Let f be w(12). What is the greatest common divisor of 94 and f?
94
Let s(u) = 3*u**2 - 10*u. Suppose 0 = -27*c + 29*c - 8. Let z be s(c). Let r(m) = -m**2 + 22*m + 5. Let i be r(z). What is the highest common factor of i and 9?
9
Let x(a) = 18*a**3 - a - 4. Let r(c) = 1. Let n(i) = -4*r(i) - x(i). Let u = -28 - -27. Let h be n(u). What is the greatest common divisor of h and 102?
17
Suppose -126*g = -91*g - 860 - 715. What is the greatest common factor of g and 12105?
45
Suppose -5*r = -2 + 12, -3*r = -3*j + 51. Suppose -1583*p = 1010*p - 28600 - 49190. Calculate the greatest common factor of j and p.
15
Let k = 2357 - 2227. Let i(l) be the first derivative of 3*l**2/2 - 16*l - 7. Let x be i(14). Calculate the greatest common factor of k and x.
26
Let a = 1 + 1. Suppose a*k = 5*f - 229, 2*k - k = 3. Suppose -9*v + 3*v = -198*v + 9024. What is the highest common factor of v and f?
47
Suppose 0 = 26*v - 20*v - 420. Suppose -150*b + 145*b = -v. Let g(x) = 12*x**2 + 4. Let r be g(-3). Calculate the greatest common factor of r and b.
14
Let p = -123800 - -123840. Let y = 2 + -2. Let l(c) = c**2 - c + 20. Let o be l(y). Calculate the greatest common factor of o and p.
20
Let g(x) be the second derivative of -2*x**3/3 - 69*x**2/2 + 7*x + 1. Let t be g(-23). Calculate the greatest common divisor of 184 and t.
23
Suppose -5*r - 154 = -7*r. Let l be 4/(-14) + 6028/r. Let d = l + -45. Calculate the greatest common divisor of d and 3.
3
Let d(s) = -7*s + 589 + s**3 - 4*s + 5*s**2 - 577 + 27*s**3. Let u be d(2). What is the greatest common divisor of 312 and u?
78
Let r(x) = 9*x**2 - 4*x - 2. Let i be r(-5). Let a be (-4 + (-21)/(-6))/((-3)/324). Suppose 0*z - a = -2*z. What is the highest common divisor of i and z?
27
Let y(m) = 333*m + 17016. Let q be y(-51). Let u be 820/15 - (-2)/6. Calculate the greatest common factor of u and q.
11
Suppose 135*p - 68800 = 115*p. Calculate the greatest common divisor of p and 240.
80
Let c(b) = 29*b - 4. Let t be c(4). Suppose -4*m + q + t = -3*q, 4*q = -2*m + 86. Let j = -54710 - -54974. What is the greatest common divisor of j and m?
33
Suppose 0 = 110*n + 1264 - 6544. Suppose 927 = 9*q - 945. What is the greatest common divisor of n and q?
16
Let p = -50 + 53. Suppose -5*l - 39 = a, -2*a - p*l - 153 = a. Let n be (-12)/a + (-511)/(-9). What is the greatest common divisor of 38 and n?
19
Let c(j) = -3*j - 10. Let n be c(-3). Let i be (2 - -3) + n + 1. Suppose -120 = m - i*m + 5*d, 20 = 5*d. What is the highest common factor of m and 14?
7
Let x(q) = -202*q - 174. Let r be x(-1). Calculate the highest common divisor of r and 49854.
14
Let z(r) = -16 - 22*r - 23*r + 5 + 7*r. Let d be z(-6). Let v = 514 - d. What is the highest common factor of 27 and v?
27
Suppose -16*v + 21*v - 2*t = 10061, 0 = t - 7. Calculate the greatest common divisor of v and 7254.
403
Let v be 4/(-3)*(-85428)/56. Calculate the greatest common divisor of v and 18.
18
Suppose -5*n + 3715 = -3*r, 11*r - 2263 = -3*n + 6*r. Calculate the greatest common factor of 10 and n.
2
Suppose 28*p - 22*p - 12 = 0. Suppose -2*d = 4*a - 52, -d - d = p*a - 24. What is the highest common divisor of a and 6?
2
Let i(h) = 6*h**2 + 5*h - 261. Let g be i(12). Calculate the highest common factor of 273 and g.
39
Let b(l) = -3 - l + 33 + 4*l**3 - 3*l**3. Let i be b(0). Suppose 102 - 60 = 4*a + 6*y, 12 = a + y. What is the greatest common factor of a and i?
15
Suppose 3*r = -3*q + r + 56, 71 = 4*q - r. Let w = 338 - 176. What is the highest common factor of w and q?
18
Suppose -775 + 362 - 1715 = -38*p. Calculate the highest common divisor of 1372 and p.
28
Let p = -3261 - -3465. Calculate the highest common factor of 72 and p.
12
Suppose -1 - 53 = -9*i. Let x = 75 + 66. Calculate the greatest common divisor of x and i.
3
Let w be ((-36)/(-24))/((-7)/(-126)). Calculate the greatest common factor of w and 4185.
27
Suppose -179*a = 5*p - 174*a - 54265, 4*p - 3*a - 43433 = 0. What is the greatest common factor of 184 and p?
184
Suppose 339*k + 29792 = 259295. What is the greatest common factor of 2 and k?
1
Let z(s) = s**2 + 92*s + 1734. Let l be z(-66). Calculate the highest common divisor of 2178 and l.
18
Let p = 47 - -21. Suppose 3*q - g + 13 = 5*q, -9 = -3*q - 5*g. What is the greatest common divisor of p and q?
4
Let w(f) = -66*f + 761. Let q be w(2). What is the highest common factor of 85 and q?
17
Suppose 749*i - 748*i - 408 = 0. What is the greatest common factor of 1920 and i?
24
Let a = 2224 - 2150. Let c be (74/(-4))/((-4 + 9)/(-110)). Calculate the greatest common factor of a and c.
37
Suppose -h = 3*k - 28, -5*h = 16 + 9. Let r = k - -64. Suppose 79 = 5*j + 2*f, -j - 2*j + 49 = 2*f. Calculate the greatest common factor of j and r.
1 | {
"pile_set_name": "DM Mathematics"
} |
is the third derivative of -3441 - 2*q**3 - 950*q**4 - 214*q + 3442 + 7*q**2 - 3*q**2 wrt q?
-22800*q - 12
Let l(m) = 5343*m**2 + 9*m + 9181. Let f(q) = -10684*q**2 - 15*q - 18363. Let i(g) = 3*f(g) + 5*l(g). What is the first derivative of i(c) wrt c?
-10674*c
Let a be 9/(-4)*16/(-60)*5. Find the third derivative of -66*o**2 + 55*o**2 - 57*o**2 - 46*o**3 + a*o**3 + o wrt o.
-258
What is the second derivative of 2703*g**2 + 29 + 26 - 116 + 34 - 1102*g + 23 wrt g?
5406
Let y(v) = 2*v**2 - 5*v - 21. Let q be y(6). Suppose -t + 26 + q = 0. Differentiate t + 11*h**2 - 49 + h**2 wrt h.
24*h
Find the third derivative of 221*w**3 + 191574 - 5*w**2 - 4*w**2 - 191549 wrt w.
1326
Let m(w) be the first derivative of 0*w - 152/5*w**5 + 0*w**3 + 0*w**4 + 181 - 81/2*w**2. What is the second derivative of m(i) wrt i?
-1824*i**2
Let w(q) = -q. Let r(i) = -12*i + 59. Let l(v) = -r(v) + 4*w(v). Let a be l(12). Find the first derivative of 18*f**4 + 6*f**4 + 4*f**4 - a - 7*f**4 wrt f.
84*f**3
Let l(i) be the second derivative of 459*i**4/4 + 13*i**3/3 - 2431*i. Find the second derivative of l(b) wrt b.
2754
Let j(d) be the third derivative of -d**7/105 - 3*d**6/5 + 29*d**5/3 - 2*d**2 - 192*d. What is the third derivative of j(k) wrt k?
-48*k - 432
Let p(t) be the first derivative of -6505*t**3/3 + 1700*t**2 + 1041. What is the second derivative of p(x) wrt x?
-13010
Let h be 3/(-9) + 3 + (-46)/(-3). Suppose -z - 8 + 33 = 5*j, 3*z - h = 4*j. What is the third derivative of 14*a**2 - 25*a**2 + 18*a**4 + z*a**2 wrt a?
432*a
Let g(r) = 2540*r**2 - 1609*r - 8. Let o(v) = -5081*v**2 + 3219*v + 17. Let q(c) = -17*g(c) - 8*o(c). What is the second derivative of q(b) wrt b?
-5064
Let q(k) = k + 3. Let n(i) = 6887*i + 5625. Let g(w) = -n(w) - 6*q(w). What is the derivative of g(d) wrt d?
-6893
Let a(j) = 75*j**3 + 8*j**2 - 9*j - 184. Let v(s) = -76*s**3 - 6*s**2 + 8*s + 187. Let h(p) = -3*a(p) - 4*v(p). What is the derivative of h(k) wrt k?
237*k**2 - 5
Let x = 323 + -317. Let r(m) = -99*m**3 + 5*m - 69. Let v(i) = 100*i**3 - 6*i + 69. Let b(s) = x*r(s) + 5*v(s). What is the first derivative of b(j) wrt j?
-282*j**2
Let p be 1/4 - 2/8*245. Let z = p - -93. What is the second derivative of -13*x - 15*x - 9*x + 27*x + z*x**3 wrt x?
192*x
Let p(q) be the second derivative of 0*q**5 + 0 - 8/3*q**6 + 0*q**4 - q - 8/3*q**3 + 0*q**2. What is the second derivative of p(k) wrt k?
-960*k**2
What is the second derivative of -166*b**5 - 84*b**2 - 80*b**4 + 82*b**4 + 84*b**2 + 68 - b wrt b?
-3320*b**3 + 24*b**2
Let o(j) be the second derivative of -1623*j**5/20 - 355*j**4/4 + 482*j + 2. Find the third derivative of o(d) wrt d.
-9738
Let k(v) be the first derivative of 16 - 39/2*v**2 + 20*v. What is the first derivative of k(g) wrt g?
-39
Let o(f) = -f**2 - 5*f + 18. Let m be o(-7). Suppose -m*u + b = -17, -4*b = 4*u - 0*b + 8. What is the first derivative of -3*z**2 + 17 + u*z**2 - z**2 wrt z?
-2*z
Let n(v) = -9043*v - 13239. Let b(o) = 6*o - 9. Let s(z) = 5*b(z) + n(z). What is the derivative of s(p) wrt p?
-9013
Let r(j) = j**3 - 1. Let h(t) = 1084*t**3 - 1209*t**2 - 6. Let l(c) = -h(c) + 6*r(c). What is the third derivative of l(n) wrt n?
-6468
Let p(v) = 88*v**2 - 155*v + 2830. Let r(y) = 248*y**2 - 466*y + 8491. Let l(d) = -17*p(d) + 6*r(d). What is the first derivative of l(o) wrt o?
-16*o - 161
Let s(m) be the first derivative of 13*m**6/30 + 45*m**4/4 - 4*m**3 + 2*m + 340. Let z(a) be the third derivative of s(a). What is the derivative of z(h) wrt h?
312*h
Let u(p) = -p**3 + p**2 - 237. Let i be u(0). Let q be i/(-21) + (-4)/14. Differentiate 27*w**3 - w**3 - q - w**3 with respect to w.
75*w**2
Find the second derivative of -30 - 3*x**2 - 13*x + 13371*x**3 + 87*x**5 - 13369*x**3 + 3*x**2 wrt x.
1740*x**3 + 12*x
Let p be 2*(-1)/(-3)*(-4 + 736). Differentiate 242 - 155*i**3 + 287 - p with respect to i.
-465*i**2
Let f = 141 + -147. Let t(q) = q**2 + 2*q - 22. Let x be t(f). Find the third derivative of 43*h**6 + 22*h**2 + h**x - 7*h**6 wrt h.
4320*h**3
Let f = -441 + 442. Let g(i) = -120*i**2 + 50*i - 200. Let r(k) = k**2 - 2*k + 1. Let a(h) = f*g(h) + 25*r(h). What is the derivative of a(t) wrt t?
-190*t
Let z(p) = -p**2 + 4*p + 47. Let a be z(6). Find the first derivative of 0*g**4 + 4*g**2 - 76 - a + 3*g**4 - g**2 - 6*g**4 wrt g.
-12*g**3 + 6*g
Let i(f) be the second derivative of 271*f**6/10 - 436*f**2 + 3*f - 90. Differentiate i(q) wrt q.
3252*q**3
Let p(j) be the third derivative of j**8/112 - 221*j**6/40 + 259*j**5/12 - 2103*j**2. Find the third derivative of p(r) wrt r.
180*r**2 - 3978
Suppose -5*p - 15 = 5*i, -2*i - 3*i = 15. Suppose 0 = 6*s - p*s - 36. Differentiate 3*q - 31 - s*q + 34 - 12*q with respect to q.
-15
Let s(l) = -7075*l**2 + 5983*l - 5. Let h(q) = 7065*q**2 - 5985*q + 4. Let y(k) = 5*h(k) + 4*s(k). Find the second derivative of y(f) wrt f.
14050
What is the third derivative of 68*x + 19*x - 83*x**2 + 55*x**2 - 832*x**5 + 31*x**2 wrt x?
-49920*x**2
Suppose 0 = -2*d - 3*u - 5 + 37, 5*u = 0. What is the third derivative of 157*l**3 - 22 + d - 5*l**2 + 6 - 14*l wrt l?
942
Suppose -4*b - 2391 = -5*i, -3*b - 2*b = -5. Find the second derivative of -238*g**2 - 241*g**2 + 22*g**3 - 53*g + i*g**2 wrt g.
132*g
What is the derivative of -1155 + 0*j**2 - 2*j**2 - 3808644*j**3 + 3809854*j**3 wrt j?
3630*j**2 - 4*j
Let s be (-494)/(-228) - (-1)/(-6). What is the third derivative of 111*f**3 - 5*f**3 - s - 49*f**2 + 4*f**3 wrt f?
660
Let w(u) be the first derivative of -1001*u**2 + 208*u + 212. What is the derivative of w(d) wrt d?
-2002
Suppose -7*o = 2*s - 3*o - 26, 0 = 4*s - 3*o - 96. Let k = s - 19. Find the third derivative of -3*x**6 + 5*x - 13*x**k + 3*x - 8*x wrt x.
-360*x**3
Let c(o) be the third derivative of 142*o**2 + 0 + 1/24*o**4 + 67/30*o**5 - 19/2*o**3 + 0*o. Find the second derivative of c(g) wrt g.
268
Let h(v) be the second derivative of -v**7/21 + 227*v**5/10 + 232*v**4/3 + 7*v + 28. What is the third derivative of h(p) wrt p?
-120*p**2 + 2724
Let f(l) be the third derivative of -11*l**6/120 + 5*l**4/6 + 271*l**3/2 - 14*l**2 - 45. Find the first derivative of f(v) wrt v.
-33*v**2 + 20
Let d(v) = 2140*v**3 - 18*v**2 + 70*v - 152. Let i(s) = 535*s**3 - 4*s**2 + 18*s - 38. Let f(z) = -2*d(z) + 9*i(z). Find the second derivative of f(n) wrt n.
3210*n
Let p(i) be the third derivative of -155*i**8/56 + 7*i**5/30 - 2*i**3/3 + 1130*i**2. Find the third derivative of p(x) wrt x.
-55800*x**2
Let t(a) be the first derivative of -809*a**4/4 + 2*a**3/3 + 82*a - 434. Differentiate t(d) wrt d.
-2427*d**2 + 4*d
Let z(r) be the first derivative of 22 - 9/2*r**2 - 82/3*r**3 - 2*r. What is the second derivative of z(b) wrt b?
-164
Differentiate -1253*n**4 - 153 + 136 + 289 - 850 with respect to n.
-5012*n**3
Let v(l) be the second derivative of 2 - l - 50/3*l**3 - 59*l**2. What is the derivative of v(c) wrt c?
-100
Find the second derivative of 775*p**4 - 700*p + 881*p**4 - 361*p**4 - 2195*p + 210*p**4 wrt p.
18060*p**2
Let s(w) be the second derivative of 1/6*w**3 + 67/2*w**2 + 121/12*w**4 - 3 - 6*w. What is the second derivative of s(x) wrt x?
242
Let y = -13906 - -29774. What is the third derivative of 15814*d**3 - y*d**3 + 3*d**2 + 3*d**2 wrt d?
-324
Let w = 47 - 43. Suppose s - w*s = -6. What is the third derivative of 6*c**2 - 63*c**3 - 54*c**3 + 7*c**s + 104*c**3 wrt c?
-78
Find the third derivative of 939*z**3 - 3*z**2 + 246 - 246 + 301*z**3 + 193*z wrt z.
7440
Let m be (-16)/4 - (-10 - -1). Let z = m + -3. What is the second derivative of x**z + 3*x - x**2 - 7*x - 19*x**3 wrt x?
-114*x
Let m be (11/(-121))/(15/(-495)). Let l(p) be the first derivative of 0*p**2 + 14 + 0*p**m - 14*p + 3/2*p**4. What is the derivative of l(t) wrt t?
18*t**2
Suppose -5*v - 23 = -6*v. Find the second derivative of -28*p + 0*p + p**3 + v*p - 16*p**2 - 2 wrt p.
6*p - 32
Let r be ((-40)/25)/(6/(-15)). Suppose r*f - 112 = 4*b - 20, 0 = b + 1. What is the derivative of -40*u**4 - 9 + f + 27 wrt u?
-160*u**3
Let x(k) be the first derivative of 2942*k**2 + 5285*k + 310. What is the derivative of x(f) wrt f?
5884
Let c(i) be the second derivative of -72*i**8/7 - 7*i**4/12 + 13*i**3/3 + 84*i + 6. Find the third derivative of c(x) wrt x.
-69120*x**3
Let z(s) = -s**2 - 18*s - 73. Let r | {
"pile_set_name": "DM Mathematics"
} |
when ((-11)/4)/((-1)/4) is divided by y.
5
Let k = 73 + -13. What is the remainder when k is divided by 21?
18
Suppose -35 = 2*d - 7*d. Suppose -i + 0 = -d. Suppose b + i = 2*b. Calculate the remainder when 20 is divided by b.
6
Suppose -4*n + 3 = -17. What is the remainder when n is divided by 3?
2
Suppose 4*c - 4*d + 112 = 0, -67 = 4*c + 2*d + 75. What is the remainder when 55 is divided by 8/20*(2 - c)?
13
Let m(a) = 0*a + a + 5*a. Let i(s) = 17*s - 1. What is the remainder when m(5) is divided by i(1)?
14
Let r = 4 + 0. Suppose -3 = -r*g + 177. What is the remainder when g is divided by 12?
9
Suppose 2*j = 3*q + j - 29, -5*q - 3*j = -25. Let t(a) = -3*a - 4. Let p be t(8). Let b = 42 + p. What is the remainder when b is divided by q?
6
Let i(q) = -q - 2 - 5 - 2*q**2 - 3*q**2 + 6*q**2. What is the remainder when i(6) is divided by 12?
11
Let x(t) = t**3 + 12*t**2 + 20*t + 5. Suppose -4*c - c + 120 = 0. Calculate the remainder when c is divided by x(-10).
4
Let x(t) = t**3 - t**2 - 5*t + 3. Let z be x(4). Let f = 48 - z. Suppose -15 - 35 = -5*k. Calculate the remainder when f is divided by k.
7
Let f = 22 + 19. What is the remainder when (2 - 3)/(-1)*f is divided by 14?
13
Let b = -11 - -11. Suppose 3*p - 5 = 16. Calculate the remainder when 21 - 3 - (0 - b) is divided by p.
4
Suppose 21 = 2*i - 9. Suppose 0 = -w - i + 4. Let o = w - -16. Calculate the remainder when 13 is divided by o.
3
Suppose 2*s = -2*d + 3*s + 169, 5*d - 2*s = 425. Suppose -5*h - 27 = -d. Calculate the remainder when h is divided by 7.
5
Suppose -z + 81 = 3*z - g, -3*z + 63 = -3*g. Let i(x) = x**3 + 4*x**2 - 4*x - 3. Let b be i(-5). Let y = -1 - b. Calculate the remainder when z is divided by y.
6
Let c(a) = -a**2 + 5*a + 3. Suppose -343 + 43 = -3*w. Suppose -5*g + 10*g = w. Calculate the remainder when g is divided by c(4).
6
Let a = -1 + -2. Let m(l) = l**2 + 5*l + 5. Let t be m(-4). Calculate the remainder when (t/2)/(a/(-126)) is divided by 11.
10
Suppose 3*u - 4 - 2 = 0. Suppose 3*q - u*q - 554 = 0. What is the remainder when 6/(-15) - q/(-10) is divided by 14?
13
Suppose -2 = c - 5. Suppose 0 = -2*l - 3*l + 4*h + 126, c*l - 73 = 5*h. Let i(q) = -q**3 - 3*q**2 + q + 2. Calculate the remainder when l is divided by i(-4).
12
Let g = 52 - 18. Calculate the remainder when 100 is divided by g.
32
Let o(q) = 26*q - 8. What is the remainder when o(2) is divided by 8?
4
Suppose -s = 4*s - 15. Suppose 2*d = b - 4, -4*b - 8 - s = d. What is the remainder when 10 is divided by 3 + b + (0 - -5)?
4
Suppose 69 = 5*j - 31. Calculate the remainder when 39 is divided by j.
19
Suppose 0 = -2*b - b + 159. Suppose -2*x + b = 3*w, 2*w - 5*x = -1 + 30. Calculate the remainder when w is divided by 6.
5
Suppose -4*g - 1 + 117 = 0. Suppose 79 = 10*z - 1. Calculate the remainder when g is divided by z.
5
Let t be 46/4 - 18/12. Suppose -3*s - 4*x + 2 = -2, -5*x = t. Suppose -8 + 29 = 3*o. Calculate the remainder when o is divided by s.
3
Suppose -2*l + 42 + 36 = -c, 5*l + 4*c = 182. What is the remainder when l is divided by ((-6)/9)/((-2)/60)?
18
Calculate the remainder when 34 is divided by 480/36 + 2/(-6).
8
Suppose 28*f = 31*f - 63. What is the remainder when 36 is divided by f?
15
Let a be 63 - -6*2/(-6). Suppose -36 = f - 2. Let t = a + f. What is the remainder when t is divided by 14?
13
Suppose -8*r = -2*r - 48. What is the remainder when 14 is divided by r?
6
Let b = -14 + 17. What is the remainder when b is divided by 2?
1
Suppose -3*b + 75 = -24. Suppose 0*f = 3*f - 3. What is the remainder when b is divided by f/(54/51 + -1)?
16
Let o(t) = -t**2 + 11*t - 13. Let f be o(9). Let q(b) = b**2 - b - 2. What is the remainder when q(f) is divided by 10?
8
Let a = 85 - 55. Let h(r) = 2*r**2 - 4*r - 5. Calculate the remainder when a is divided by h(4).
8
Suppose -5*z = -0*d + 5*d + 30, -3*z - 4*d - 14 = 0. Let c = z + 14. Calculate the remainder when 19 is divided by c.
3
Let q be (-16)/(-12)*(-3)/(-2). Let y be (q/(-4) + 0)*0. Suppose y = -5*j - w + 143, 5*j + 4*w = 74 + 63. What is the remainder when j is divided by 10?
9
Let p(r) = 3*r - 5. Let g(m) = m**2 - 5*m. Let a be g(6). Let q = 0 - -5. Calculate the remainder when p(a) is divided by q.
3
Let r = 67 + -44. Calculate the remainder when (-180 - 0)*(-3)/6 is divided by r.
21
Suppose 20 = -0*h + 2*h. Let n = -7 + 4. Let b(l) = -l**3 - 2*l**2 + l. Calculate the remainder when h is divided by b(n).
4
Let c = -8 + 45. Suppose 3*a = p + 1, 0 = -5*p + 3*a + 6 + c. What is the remainder when p is divided by 7?
4
Let a = 33 + -16. Let l(i) = -i**3 - 9*i**2 - 2*i - 6. Let h be l(-9). What is the remainder when 4/h*15*13 is divided by a?
14
Suppose 3 = 4*m - 13. Suppose -z + 8 = 2*r - 5*r, -2*r + 74 = 5*z. Calculate the remainder when (m - 6)*(-16 - 4) is divided by z.
12
Let z be 65/4 - (-5)/(-20). Let h = z + 13. Calculate the remainder when h is divided by 6.
5
Let f(v) = v + 18. Let y be f(-13). Suppose 2*h - 2*c - 10 = 0, y*h + 2 = c + 23. What is the remainder when h is divided by 2?
0
Suppose -3*q + 130 = -53. Calculate the remainder when q is divided by 16.
13
Let q(l) = 2*l**3 - 2*l**2 - l - 1. Let t(w) = w**3 + 6*w**2 + 4*w + 3. Calculate the remainder when t(-4) is divided by q(2).
4
Suppose 0 = 3*x - 9. Let s(t) = -8*t - t**2 + 14*t - x + 12. Calculate the remainder when 3 is divided by s(7).
1
Suppose 5 = -3*d + 26. Let a(x) be the third derivative of x**5/60 + x**4/6 - x**3/6 - 3*x**2. Calculate the remainder when a(3) is divided by d.
6
Suppose -q + 5 = 0, 0 = -2*j + q - 5*q - 40. Calculate the remainder when 38 is divided by (j/4)/((-9)/12).
8
Suppose 4*w - 5*t - 396 = -t, -2*t = -6. Suppose 4*m = -16, -5*k + 3*m - 5*m + w = 0. Calculate the remainder when k is divided by 8.
6
What is the remainder when 29 is divided by 52/78 + ((-80)/6)/(-1)?
1
Suppose 3*q - 2*q = 25. Calculate the remainder when 72 is divided by q.
22
Let i = -1 - -4. Suppose i*j - 141 = 7*r - 3*r, -j = 2*r - 47. Suppose 4*o + 84 = -0*g + 5*g, -5*g - 2*o + 78 = 0. What is the remainder when j is divided by g?
15
Suppose -20 = 8*r - 7*r. Let t = 0 + 8. What is the remainder when t is divided by (-3)/((24/r)/2)?
3
Let p = -21 - -7. Let t be p/(-4)*20/35. Suppose 3*v - 115 = 2*c, 4*v - t*c - c - 155 = 0. Calculate the remainder when v is divided by 12.
11
Let h(v) = 2*v + 5. Let z be h(6). Let i(m) = -2*m**3 + 3*m**2 - 1. Let q be i(-2). Suppose -4*r + q + z = 0. What is the remainder when r is divided by 4?
3
Suppose -u = 2*m - 11, 4*m - u + 13 - 50 = 0. Suppose 0 = -4*r + 16, -2*r - 11 = -3*o - 4*r. What is the remainder when 112/7 - (o - 0) is divided by m?
7
Suppose 5*y = y + 48. Calculate the remainder when 34 is divided by y.
10
Let s(r) = 4*r**2 + 17*r + 31. Let t(c) = 4*c**2 + 2 - c - 2*c - 5. Calculate the remainder when t(3) is divided by s(-2).
11
Let w(y) = -14*y. Let r = 3 - 6. Let x = -20 - -35. Calculate the remainder when w(r) is divided by x.
12
Let x be (-1 - 1)/(-8 - -6). Let c be (0 + x)*0/6. Let u = 2 - c. Calculate the remainder when u is divided by 1.
0
Let w(z) = -17*z - 17. Calculate the remainder when w(-4) is divided by 26.
25
Let v = -2 - -2. What is the remainder when -22*(v + 2/(-4)) is divided by 4?
3
Suppose -i + 10 = i. Suppose -q - 14 = i*a, -4*a - 1 - 6 = 5*q. Suppose -4*d + 140 = -4*x, 16 = -5*x + q. Calculate the remainder when d is divided by 11.
10
Suppose q - c - 3*c = 119, -119 = -q - c. Suppose -4*x + 7*x - 56 = -2*k, 0 = -5*k + 3*x + q. Calculate the remainder when 48 is divided by k.
23
Suppose -9*g = -18 - 99. What is the remainder when 62 is divided by g?
10
Let t(p) = -p + 2. Suppose 5*k - 3*k = 8. What is the remainder when t(-3) is divided by k?
1
Let a(t) = t**2 - 2*t. Let y be a(-5). Suppose 5*w + 5*k - 95 = k, 0 = 3*k - 15. Calculate the remainder when w is divided by (-1)/(-4) + y/4.
6
Let x(f) = 2*f**3 - 3*f + 2. Let v be x(2). Let i = 11 - 4. Let g = v - i. Calculate the remainder when 8 is divided by g.
3
Let z = -6 + 19. Let l = 392 + -273. Suppose 0 = 5*g - 3*f - l, 2*f - 4*f = -4*g + 96. What is the remainder when g is divided by z?
12
Let p = 27 + 2. Calculate the remainder when p is divided by 10.
9
Let i = 2 - 1. Let q = 5 - 9. Calculate the remainder when (q - -1*2)*-1 is divided by i.
0
Supp | {
"pile_set_name": "DM Mathematics"
} |
*j**2 + j - 1. What is x*o(m) + 6*b(m)?
m**2 + m - 1
Let q(m) = -m**3 + 22*m**2 - 2*m + 2. Let u(z) = -6*z**3 + 111*z**2 - 11*z + 11. Let s(i) = 118*i + 1051. Let a be s(-9). Determine a*q(x) + 2*u(x).
-x**3 - 20*x**2
Suppose 10*s + 4600 = 4570. Let j(d) = d. Let p(z) = -13*z - 1. What is s*j(c) - p(c)?
10*c + 1
Let s(i) = 56*i**3 - 8*i**2 - i - 38. Let o(d) = 74*d**3 - 11*d**2 - d - 52. Calculate 8*o(q) - 11*s(q).
-24*q**3 + 3*q + 2
Let m(x) = 11*x**2 - 18655*x + 18649*x - 2 + 7. Let d(w) = 4*w**2 - 2*w + 2. Suppose 2*j = -j + 24. Give j*d(t) - 3*m(t).
-t**2 + 2*t + 1
Let n be (-16)/6*(-39)/26. Let i(d) = 13*d + 2*d**2 - 3 - 26*d + 7*d - n*d**3 + 7*d. Let b(p) = p**3 - p**2 - p. Give -2*b(z) - i(z).
2*z**3 + z + 3
Let u(b) be the first derivative of b**2 - 2*b + 1321. Let o(r) = -5*r + 5. Determine -6*o(y) - 17*u(y).
-4*y + 4
Let h(d) = d + 1. Suppose -2 = -2*c - 0. Let f(k) = 3*k + 4. Let y be (2 - (-24)/(-10))/((-49)/61495). Let b = -503 + y. Give b*f(r) + c*h(r).
-2*r - 3
Let m(c) = c**3 + 1. Let w(o) = 521*o**3 - 528*o**3 - 2*o**2 + 3150 + 3147 - 6301. Let n = -1 - -2. Give n*w(l) + 6*m(l).
-l**3 - 2*l**2 + 2
Let g(t) = -47*t**3 - 6*t**2 - 54*t - 22. Let m(j) = j**3 + j**2 + 9*j. Determine g(l) + 6*m(l).
-41*l**3 - 22
Let g(r) = r + 1837. Let x(j) = j + 1835. Calculate -3*g(s) + 4*x(s).
s + 1829
Let n(u) = -1223*u + 1. Let z(c) = 1231*c. What is -6*n(d) - 5*z(d)?
1183*d - 6
Let v(d) = 158*d**2 - 15*d - 15. Let l(p) = -792*p**2 + 77*p + 83. Give 2*l(a) + 11*v(a).
154*a**2 - 11*a + 1
Let l be (-7 + 8 + 7)*6/8. Let v be (-1 - 1)*(-55)/(-10). Let g = v + l. Let s(h) = -9*h + 4. Let k(d) = -22*d + 10. Determine g*k(x) + 12*s(x).
2*x - 2
Let l(t) be the third derivative of -3*t**4/8 - 3*t**3 - 2912*t**2. Let x(g) = 4*g + 9. Calculate -6*l(j) - 13*x(j).
2*j - 9
Let w(d) = -11*d**3 - 17*d**2 - 17*d - 17. Let m(h) = -363*h**2 + 3*h + 2*h**3 + 3 - 362*h**2 + 728*h**2. Let y be 21/14*(-68)/3. Give y*m(k) - 6*w(k).
-2*k**3
Let n(i) = i**2 - i + 1. Let f(y) = -5*y**2 - 2*y + 4. Suppose -v = -m - 1827 + 1825, 2*v = -3*m - 1. What is m*f(w) + 2*n(w)?
7*w**2 - 2
Let u(n) = -3*n**3 + 51*n**2 + 3*n + 3. Let f(q) = 5*q**3 - 101*q**2 - 5*q - 5. Determine -4*f(m) - 7*u(m).
m**3 + 47*m**2 - m - 1
Let n(j) = -11*j. Let v(m) be the second derivative of 0*m**2 + 49*m - 11/3*m**3 - 1. Give -11*n(l) + 5*v(l).
11*l
Let p(m) = -4*m + 10. Let r be (-5588)/(-110) + (-3)/(-15). Suppose 4*q - 253 = 7. Let b = r - q. Let l(d) = -d + 2. Calculate b*l(w) + 3*p(w).
2*w + 2
Let r(p) = p**2 + 4*p. Let w = -28 - -55. Let z(v) = 151*v**2 - 145*v**2 - 6*v + w*v. Let g be -2 + 0 - -26 - 3. What is g*r(j) - 4*z(j)?
-3*j**2
Let a(i) = -7055*i + 2. Let m(s) = -7098*s + 2. What is -4*a(t) + 3*m(t)?
6926*t - 2
Let f(x) = 22152*x + 508. Let j(n) = 4430*n + 109. What is 3*f(g) - 14*j(g)?
4436*g - 2
Let v(l) = 2*l**3 - 2*l - 2. Let f(p) = 3*p**3 - 5*p**2 + 28*p - 6. Calculate f(o) - 3*v(o).
-3*o**3 - 5*o**2 + 34*o
Let y(w) = -2*w**2 + w + 6. Let v(f) = 57882*f**2 - 21048*f - 126288. What is v(q) + 21048*y(q)?
15786*q**2
Let g(q) = -2*q**2 + 2*q + 5. Let y(w) = -12*w**2 + 12*w - 4796. What is -5*g(d) + y(d)?
-2*d**2 + 2*d - 4821
Let c(x) = 2*x**3 - 3*x. Let t(o) = -o**2 + 9*o + 16. Let y be t(10). Let i(g) = -7*g**3 + 11*g. Give y*i(j) + 22*c(j).
2*j**3
Let p(y) = -100*y**3 - 7*y**2 - 19*y + 12. Let v(q) = 3*q**3 + 2*q**2 + 4*q - 2. Determine -p(z) - 4*v(z).
88*z**3 - z**2 + 3*z - 4
Let q(m) = 3*m - 413. Let t(w) = -3*w + 368. Let v(h) = 9*q(h) + 10*t(h). Let o(b) = b + 12. Determine 11*o(s) + 4*v(s).
-s - 16
Let d(i) = -9*i**3 - 15*i**2 + 3104*i + 6. Let j(m) = -2*m**3 - 3*m**2 - 4*m + 1. Give -d(w) + 5*j(w).
-w**3 - 3124*w - 1
Let k(w) = 353*w**2 - 4*w + 6. Let j(d) = 1062*d**2 - 11*d + 17. Determine -6*j(a) + 17*k(a).
-371*a**2 - 2*a
Let g(c) = -370*c + 3. Let p(z) = 184*z - 2. What is -6*g(l) - 11*p(l)?
196*l + 4
Let g(i) = -299*i. Let t(u) be the second derivative of -5*u**3/3 + 627*u. Determine 3*g(l) - 91*t(l).
13*l
Let g(u) = 4145*u + 12. Let o(z) = 4*z + 2. Calculate g(m) - 6*o(m).
4121*m
Let x(f) be the first derivative of f + 114. Let w(u) = 74 + 5*u - 35 - 33. Calculate w(s) - 6*x(s).
5*s
Let o(r) = 12*r**2 - 5*r - 3. Let p(w) = -25*w**2 + 13*w + 7. Determine -5*o(l) - 2*p(l).
-10*l**2 - l + 1
Let p(g) = 15*g**3 + 2*g**2 + 9*g - 1. Let n(b) = -14*b**3 - b + 1. Let a(l) = 3*n(l) + 3*p(l). Let w(z) = 2*z**3 + 3*z**2 + 12*z. Give -3*a(i) + 5*w(i).
i**3 - 3*i**2 - 12*i
Let q(x) = 7*x + 6. Suppose -3*t + 24 = 6*n - 4*n, -5*n = 2*t - 27. Let y(c) = -129 - 132 + 13*c - 132 - 5*c + 400. Determine t*y(d) - 7*q(d).
-d
Let o(k) = 0 - 2*k + 9*k - 28 + k - 3*k. Let z(u) = -6*u + 28. Determine 4*o(r) + 3*z(r).
2*r - 28
Let u(m) = -2 - 4 + m + 2. Let a(n) = 6*n - 21. Suppose 22*d - 13351 = -21*d - 14297. What is d*u(g) + 4*a(g)?
2*g + 4
Let s(q) = 2*q**2 + 1. Let d(n) = -305*n**3 - 20*n**2 - 4. Determine d(m) + 10*s(m).
-305*m**3 + 6
Let d(i) = -4*i**3 - 2*i**2 - 7. Let z(o) = -3*o**3 - o**2. Determine -d(b) - 4*z(b).
16*b**3 + 6*b**2 + 7
Let g(u) = 3*u + 7. Let w(v) = v + 4. Suppose 9 + 87 = -99*o - 300. Calculate o*g(f) + 9*w(f).
-3*f + 8
Let z(h) = -311*h + 20. Let d(y) = -105*y + 5. Calculate -8*d(w) + 3*z(w).
-93*w + 20
Suppose -5*s + 10*s + 4 = -2*p, p + 2*s = -1. Let v(g) = -g. Let f(w) = -7*w**2 + 8*w. Give p*f(c) + 24*v(c).
-21*c**2
Let w(v) = -3*v**3 - 42*v**2 - 76*v - 49. Let i be w(-12). Let x(q) = q - 1. Let f(r) be the third derivative of r**4/4 - r**3/6 - r**2. Give i*x(l) + f(l).
5*l
Let w(y) = 13*y**2 - 5*y. Let z(v) = -13*v**2 + 6*v. Let n = 626 + -183. Let p = n + -437. Give p*w(u) + 5*z(u).
13*u**2
Let l(z) = -5*z + 6. Let x(n) = -n + 1. Suppose -52*r + 101*r + 77*r = -756. Suppose -1 = -2*u + 1. What is r*x(t) + u*l(t)?
t
Let d(m) = -11*m**3 - 9*m + 2006. Let v(t) = -5*t**3 - 4*t + 1003. Give 4*d(n) - 9*v(n).
n**3 - 1003
Let p(f) = -22*f**2 - 4*f. Suppose -6 = 3*d, -62 = b + 2*d - 61. Let m(c) = -22*c**2 - 3*c. Determine b*p(z) - 4*m(z).
22*z**2
Let p = 1944 - 1940. Let q(g) = -22*g**3 - 4*g**2. Let k(n) = -n**3 - n**2. Give p*k(c) - q(c).
18*c**3
Let f(r) = 621*r - 2. Let y(z) = -58*z - 1. Calculate -f(m) - 3*y(m).
-447*m + 5
Let q(h) = -9*h**2 - 3*h - 3. Let y(j) = -j**2 - j - 1. Suppose 222 = -73*p - 30*p + 29*p. Determine p*y(r) + q(r).
-6*r**2
Let s(n) be the third derivative of 2*n**6/15 + n**5/30 + 2*n**3/3 + 580*n**2. Let w(u) = 15*u**3 + 2*u**2 + 3. Give -3*s(h) + 4*w(h).
12*h**3 + 2*h**2
Let j be 2 - 5*42/35. Let o be -24*j*(-7)/56. Let n(s) = 24*s**2 - 12*s - 12. Let g(f) = f**2 - f - 1. Give o*g(r) + n(r).
12*r**2
Let h(a) = -1029*a - 1. Let v(t) = -6156*t - 6. What is -35*h(f) + 6*v(f)?
-921*f - 1
Let p(q) = -43*q**3 - 47*q**2 - 42*q. Let j(r) = 15*r**3 + 17*r**2 + 14*r. Determine -11*j(f) - 4*p(f).
7*f**3 + f**2 + 14*f
Suppose -52*n + 12122 = 12070. Let j(a) = a - 1. Let h(c) = 40*c - 5. Calculate n*h(v) - 5*j(v).
35*v
Let i(n) = -1001*n**2 + n + 1. Let q(o) = -2*o**2 - o - 1. Give i(w) + q(w).
-1003*w**2
Let q(x) = -6*x**3 - x**2 - x - 3. Suppose -386*j - 481 = -1639. Let i(d) = -d**3 - d - 1. Give j*i(c) - q(c).
3*c**3 + c**2 - 2*c
Let x(h) = 30*h**3 - 5*h**2 - 2*h + 5. Let a(l) be the second derivative of -3*l**5/2 + l**4/2 + l**3/3 - 3*l**2 - 888*l. Determine -5*a(b) - 6*x(b).
-30*b**3 + 2*b
Let c(v) = 1799*v**3 + 6*v**2 + 18*v + 6. Let l(a) = 2687707*a**3 + 8965*a**2 + 26895*a + 8965. Give 8965*c(q) - 6*l(q).
1793*q**3
Suppose 60*o = 64*o - 16. Let g(c) = 47*c**3 - 4*c - 4. Let u(a) = 1785*a**3 - 153*a - 153. What is o*u(m) - 153*g(m)?
-51*m**3
Let r(f) be the first derivative of 11*f**2 - 7*f + 5535. Let q(v) = v - 1. Give 14*q(g) - 2*r(g).
-30*g
Let j(p) = p**3 + p**2 + p - 1. Let c(a) be the first derivative of -5*a**4/4 - a**3/3 - a**2/2 + 4*a + 4408. Determine c(t) + j(t).
-4*t**3 + 3
Let o(d) = -39*d**3 + 5*d**2 + 5*d + 1. Let j(h) = 5*h**2 - 19*h**3 + 3*h - 2*h**2 + 0*h - 574 + 282 + 293. Give 5*j(q) - 3*o(q).
22*q**3 + 2
Let o(c) = -c**2 - c + 4. Let s be (-166)/(-18) + (-10)/45. Let r = -7 + s. Let t(g) be the first derivative of g + 354. Give r*o(x) - 7*t(x).
-2*x**2 - 2*x + 1
Let v(f) = 632*f**2 - 30*f + 17. Let m(c) = 163*c**2 - 7*c + 4. Calculate -9*m(j) + 2*v(j).
-203*j**2 + 3*j - 2
Let f(u) = 116*u**2 + 63*u - 15. Let y(x) = -61*x**2 | {
"pile_set_name": "DM Mathematics"
} |
38?
8
What is the hundred thousands digit of 224383546?
3
What is the tens digit of 1287273230?
3
What is the ten millions digit of 41338274?
4
What is the thousands digit of 62479548?
9
What is the hundred millions digit of 1228706002?
2
What is the ten millions digit of 1071755373?
7
What is the hundred thousands digit of 159936561?
9
What is the hundred millions digit of 918929316?
9
What is the hundred thousands digit of 103061708?
0
What is the ten thousands digit of 887979964?
7
What is the units digit of 411745455?
5
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6
What is the tens digit of 259178431?
3
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0
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0
What is the thousands digit of 420101155?
1
What is the ten millions digit of 211077207?
1
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8
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7
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7
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5
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9
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7
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5
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4
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9
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9
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2
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7
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6
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3
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5
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2
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6
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6
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3
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1
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1
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5
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8
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9
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5
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8
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9
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9
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8
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7
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8
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9
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9
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4
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4
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5
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6
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0
What is the tens digit of 2488119682?
8
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3
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1
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4
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0
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9
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1
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5
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9
What is the ten thousands digit of 282989126?
8
What is the tens digit of 5719471083?
8
What is the millions digit of 870495309?
0
What is the ten millions digit of 5766905184?
6
What is the hundred thousands digit of 169631429?
6
What is the ten thousands digit of 104164279?
6
What is the tens digit of 887605369?
6
What is the hundreds digit of 286916691?
6
What is the ten millions digit of 1134330602?
3
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6
What is the tens digit of 3754857925?
2
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7
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5
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5
What is the thousands digit of 89065488?
5
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0
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6
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1
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5
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5
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7
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1
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1
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3
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0
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2
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8
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8
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3
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3
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7
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2
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0
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5
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8
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2
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0
What is the hundred millions digit of 1942059307?
9
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3
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6
What is the thousands digit of 195427897?
7
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5
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8
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0
What is the millions digit of 127144361?
7
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3
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0
What is the ten thousands digit of 17774623?
7
What is the millions digit of 55777781?
5
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6
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9
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5
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1
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9
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2
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6
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7
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6
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4
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4
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2
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7
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9
What is the hundred thousands digit of 37981159?
9
What is the tens digit of 1950879849?
4
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4
What is the thousands digit of 4977855080?
5
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0
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7
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2
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5
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4
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3
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6
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3
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3
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7
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7
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8
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9
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3
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2
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4
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9
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8
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1
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3
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0
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2
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7
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2
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2
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3
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0
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6
What is the units digit of 26899398?
8
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2
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7
What is the thousands digit of 621325?
1
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4
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5
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0
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1
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4
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3
What is the hundreds digit of 1698728207?
2
What is the millions digit of 1462197240?
2
What is the ten thousands digit of 10409701?
0
What is the ten thousands digit of 68275500?
7
What is the hundred thousands digit of 1885543745?
5
What is the hundred thousands digit of 361936753?
9
What is the ten thousands digit of 429714366?
1
What is the thousands digit of 43569148?
9
What is the thousands digit of 880544704?
4
What is the ten thousands digit of 31326499?
2
What is the millions digit of 49408746?
9
What is the thousands digit of 1515694661?
4
What is the tens digit of 146083675?
7
What is the | {
"pile_set_name": "DM Mathematics"
} |
0*n + 0*n)*(-4 + 2 + 3) - 2*n**3 + n**3 + 2*n**3.
-14*n**3
Expand (-5*x + 2*x - x)*(9*x + 14*x**2 - 6*x - 3*x).
-56*x**3
Expand (21 - 4*o - 18 + o)*(-3 - 1 + 5).
-3*o + 3
Expand (3*s**2 - s**3 - 3*s**2)*(3 + 1 - 14).
10*s**3
Expand 0*i - i - i + i + i + 0*i + (-i - 4*i + 3*i)*(3 - 3 - 3) - i + 0*i + 2*i.
7*i
Expand (2*i**4 + 0 + 0 + (-2 + 2 + i**2)*(2*i**2 + 4*i**2 - 5*i**2))*(2*i + 2 - 2).
6*i**5
Expand (3 - 3 + 3*d)*(-2*d**4 + 4*d**3 - 4*d**3) - d**5 + 3*d**5 - d**5 - d**5 + d**5 + 2*d**5.
-3*d**5
Expand (-2 + q**2 + 2)*(-2*q + 4*q - 3*q) + (q + 2*q - 2*q)*(-3*q**2 - 3*q**2 + 3*q**2).
-4*q**3
Expand (-2*c + 2*c - c)*(0 + 1 - 2)*(-5*c + 7*c - c).
c**2
Expand (-2 + 2 + w**3)*(-6*w + 3*w + w) + (-w**2 + 0*w + 0*w)*(0*w**2 + 4*w**2 - 3*w**2) + 2*w**4 + 2*w**4 - 5*w**4.
-4*w**4
Expand (u + 0*u + 0*u)*(u - u + 3*u**3)*(-2 - u + 2 + (3*u + 4*u - 5*u)*(1 - 3 + 4) - 4*u + u + 4*u + 3*u + 0*u - 5*u - 4*u + 3*u + 3*u).
12*u**5
Expand (-1 + 3 + 1)*(-v**2 - 6*v**2 + 5*v**2)*(0*v + 7*v - 5*v).
-12*v**3
Expand (2*a**3 + a**4 - 2*a**3)*(2 + 0 - 1 + (3 + 3 - 4)*(3 - 2 + 0) + 3 - 1 - 4 + 3 - 3 + 1).
2*a**4
Expand 2*z**5 + z**5 - 2*z**5 - 2*z**4 - 6*z**5 + 2*z**5 + z**5 + (3*z - 2*z - 3*z)*(z**4 + 3*z**3 - 3*z**3).
-4*z**5 - 2*z**4
Expand 7*w + 22 - 22 + (1 - 4 + 2)*(0*w + w - 2*w).
8*w
Expand (-4*y**2 + y**2 + 2*y**2)*(y + y - 3*y) + 0*y**3 - 10*y**3 - 5*y**3.
-14*y**3
Expand (0*b**2 + 0*b**2 + b**2)*(-6 + 0 + 1).
-5*b**2
Expand -4 + 4*s**4 + 4 + 0*s**4 + 3*s**4 - 5*s**4 - 2 + s**4 + 2 + (-3*s + 0*s + s)*(0*s**3 - s**3 + 3*s**3) - s**2 - s**4 + 3*s**4 + 2*s**2.
s**4 + s**2
Expand s**2 + 4*s**2 - 4*s**2 + 3*s**2 - s**2 - s**2 - s**2 + 5 - 5 + (3*s - 3*s - 2*s)*(0*s + s - 3*s) - 2*s**2 + 1 - 1 + 4*s**2 + 3*s**2 - 5*s**2.
5*s**2
Expand (0 + 3*r + 0)*(-1 - 3 + 1) + (5 - 3 - 1)*(6 - 6 - r).
-10*r
Expand -2*p**2 + 2*p**2 - 2*p**4 + (-2*p**3 + 3 - 3)*(-1 + 1 + p) + 2*p**4 - 5*p**4 + p**4 - 4*p**4 - 6*p**4 + 5*p**4.
-11*p**4
Expand (2 - 1 + 0 - 4 + 3 + 2 + (2 + 1 - 5)*(-1 + 5 - 5))*(-5*j**2 + 1 + 6*j**2 - 3).
4*j**2 - 8
Expand (-5*o**2 + 4*o**2 + 0*o**2 - 2*o)*(2 - 2 + 2*o).
-2*o**3 - 4*o**2
Expand (3 + 0 - 1)*(-35 + 30 - u + 34).
-2*u + 58
Expand (-2*k - 3*k + 2*k)*(2 + 2*k - 2 + (0 + 2 - 1)*(0 + 0 - k) + 2*k + 0*k - 5*k) - 4*k**2 - 2*k**2 + 4*k**2.
4*k**2
Expand 0*x**3 + 4*x**3 - 5*x**3 + (2 + 2 - 5)*(x**3 - 4*x**3 + 4*x**3) + (x**2 - 5*x**2 + x**2)*(0 + x + 0).
-5*x**3
Expand (-48*v + 11*v - 36*v)*(-v**3 + v**3 + v**3).
-73*v**4
Expand 2*a + 1 - 1 + (1 - 1 + 1)*(6*a + 2*a - 3*a).
7*a
Expand (-3*q - 6*q - 8 + 11*q)*(-2*q**2 - 3*q**2 + 6*q**2).
2*q**3 - 8*q**2
Expand (-3 - 2 + 4 + (-4 + 0 + 2)*(2 + 0 - 4))*(0*s + 0 - 2*s + 2).
-6*s + 6
Expand (2 - 2 - w)*(2*w - 1 + 1 + (-1 + 4 - 2)*(5*w - 34 + 34)).
-7*w**2
Expand (1 + 1 + 0)*(1 + 4 + 0)*(-3*a + 2*a - a).
-20*a
Expand (-2*k**4 - 5*k**4 + 3*k**4)*(3*k + 2*k - 3*k).
-8*k**5
Expand (10 - 10 + 2)*(5*t**3 - t**2 + t**2).
10*t**3
Expand (-a**2 + 2*a**2 + 2*a**2)*(2*a - a + 33 - 36).
3*a**3 - 9*a**2
Expand ((-2 + 2 + 2*m)*(4 - 4 + m) - m**2 + 2*m**2 - 2*m**2 + (3*m - 4*m - m)*(m + 0*m - 5*m))*(2*m - 6*m + m).
-27*m**3
Expand (0*d + 4*d - 3*d)*(4 - 3 - 3)*(1 + 1 - 1)*(-1 - 4 + 3).
4*d
Expand (-z**2 + 0*z**2 - 10*z**2)*((-1 + 3 - 3)*(z**2 - z + z) - z + z - 2*z**2).
33*z**4
Expand (5*q**2 + q**2 - q**2)*(3*q - 3*q + q)*(4 + 0 - 6).
-10*q**3
Expand (0*i**2 + 1 + 3 - i**2)*(-1 - i**3 + 1).
i**5 - 4*i**3
Expand (0*y - y - y)*(-2 + 2 + y) + 3*y**2 + 4*y**2 - 3*y**2.
2*y**2
Expand (-2 + 5 - 1 + 2 + 2 - 2 + (1 - 2 + 0)*(-5 + 5 + 2) + 0 - 3 + 2 + (6 - 5 + 4)*(0 - 3 + 1))*(0*j + 0*j - 2*j).
18*j
Expand m**2 - 3*m**2 + 3*m**2 - 2*m**2 - 1 + 1 - m - m**2 + m - 2 + 2 - 2*m**2 + (-3 + 6 - 2)*(-3 - m**2 + 3) + 3 - 2*m**2 - 3.
-7*m**2
Expand (-2*n**2 - n**2 + 0*n**2)*(n**3 - n**3 + 3*n**3) + (1 - 1 - n)*(2*n**4 - 6*n**4 + 2*n**4).
-7*n**5
Expand (-4 + 4 + 2)*((14 - 4*t - 14)*(t - 5*t + t)*(6*t - 2*t - t) - t**2 + t**2 + 3*t**3).
78*t**3
Expand 0*d**3 + 0*d**3 - d**3 + (4*d + 2*d + 2*d)*(-2*d**2 + 4*d**2 - d**2).
7*d**3
Expand (-57 + 56 + l**2 + 2*l - 3*l)*(-2*l**3 + 2*l - 2*l).
-2*l**5 + 2*l**4 + 2*l**3
Expand (0*g + 2*g - g)*(g - 2*g + 3*g) + g**2 + 2 - 7*g**2 + 8*g**2.
4*g**2 + 2
Expand 0*c**3 + c**5 + 0*c**3 + (4 - 4 - 2*c**2)*(0*c**2 - 2*c**3 + 0*c**2) + c**5 - 2*c**5 + 3*c**5.
7*c**5
Expand (u**5 + 3 - 3)*(-2 - 2 + 6) - u**5 - 3*u**5 + 7*u**5 + (-3*u**5 - u**5 - u**5)*(1 + 1 - 3).
10*u**5
Expand 29*v - 242 + 242 + (2 + 3 - 3)*(5*v - v + 0*v) - v - v + 0*v.
35*v
Expand (3 - 3 + 7*b**3)*(2*b**2 - 6*b**2 + 2*b**2).
-14*b**5
Expand (-2 - o**3 + 2)*(2*o + 0*o - 6*o).
4*o**4
Expand -5*i**3 + 0*i**3 + 4*i**3 + (5*i - 5*i + 2*i)*(2 - i**2 - 2) - 1 + 2*i**3 - 6 + 8.
-i**3 + 1
Expand (-1 + c + 1)*(2*c**2 - 2*c**2 - 2*c**2)*(c**2 + 5*c**2 - 4*c**2).
-4*c**5
Expand (a**2 + 0*a**2 + 3*a**2)*(6 - 6 - 2*a - a**3 - a**2).
-4*a**5 - 4*a**4 - 8*a**3
Expand (4*w - 4*w - w)*(3*w - 3*w + 2*w**3 + (3*w + 0*w - 4*w)*(5*w**2 + w**2 - 5*w**2)).
-w**4
Expand (1 + 7*l - 1 + 2)*(-1 + 3 - 3).
-7*l - 2
Expand (u - 11*u - u)*(-2*u + 2*u - 2*u)*(2*u + 2 + u + 0).
66*u**3 + 44*u**2
Expand -2*c**3 - 2*c**3 + 0*c**3 - 4*c**3 + c**3 + 5*c**3 + (3*c**2 + 0*c**2 + c**2)*(c + 0*c - 3*c).
-10*c**3
Expand (-3*s**2 + s**2 + s**2)*(-s - 4*s + 4*s) - 1 + 5*s**3 + 1.
6*s**3
Expand ((-4*s + 6*s + 5*s)*(-2*s + 4*s + 0*s) - 2*s + 2*s + 2*s**2)*(0 + 4 + 1).
80*s**2
Expand 0*o**2 + 3 - 5 - 2*o**2 + (-3 + 3 - 2*o)*(34 - 34 - 7*o).
12*o**2 - 2
Expand (-4*d + 40 - 18 - 17)*(-6 + d + 6).
-4*d**2 + 5*d
Expand (-1 - y + 1)*(3*y + y - 2*y) - 4*y**2 - y + y.
-6*y**2
Expand (-16*h**2 + 16*h**2 - 6*h**3)*(-2 + 2 + 1)*(-1 - 1 + 4).
-12*h**3
Expand (0 + 0 - 1)*(-l**3 + l**3 + l**3) + 0*l - 1 + 8 - l**3 - 2*l.
-2*l**3 - 2*l + 7
Expand (2*w - 61 + 119 - 75)*(0*w**2 - 2*w**2 + 3*w**2).
2*w**3 - 17*w**2
Expand (-4*g - 2*g**2 + 4*g)*(-5 + 6*g + 5).
-12*g**3
Expand 9*f**3 + 4*f**3 - 2*f - 5*f**3 + (3 - 6 + 5)*(0*f**3 + 0*f**3 - 2*f**3) - 4*f - 2*f**3 + 4*f.
2*f**3 - 2*f
Expand 2*p - p - 2*p + (12*p - 35*p - 9*p)*(-1 + 1 - 1).
31*p
Expand -4*c**4 - 3*c**4 + 5*c**4 + (-21*c**2 + 34*c**2 - 20*c**2)*(-c + c + c**2).
-9*c**4
Expand (-3 - h**2 + 3)*(-2*h + 12*h + 4*h + (3*h + 2*h - 4*h)*(1 - 4 + 0)).
-11*h**3
Expand (-g**2 + 3*g**2 - 8*g**2)*(0*g**2 + 3*g - 4*g - 3*g**2).
18*g**4 + 6*g**3
Expand (2 + 0 + 0)*(3*j - 3*j - 2*j) + 3 + 0*j - 2*j + 1.
-6*j + 4
Expand (2*w - 4*w + 0*w)*(-2 - 2 + 5)*(2 - 1 - 5).
8*w
Expand 4 - 4 + q**2 + (-4*q + 7*q - q)*(3*q - 4*q + 3*q) - 1 + 1 + q**2 - q**2 + 2*q + 15 + 0 - q**2.
4*q**2 + 2*q + 15
Expand (2*g**2 + 5*g**2 - 3*g**2)*(13*g + 5*g**2 - 13*g).
20*g**4
Expand k - k**2 - k + (8*k - 51 + 51)*(-2*k - 4 + 4 + (2*k - 3*k + 2*k)*(2 - 1 + 0)).
-9*k**2
Expand 0*c**4 + 2*c**4 - 8*c**4 + (-2 + 3 + 0)*(c**4 + 2*c**2 - 2*c**2).
-5*c**4
Expand (-3*x - x + 5*x)*(2*x**2 + 0*x**2 - 4*x**2)*(-x + x + x**2)*(1 + 2 - 2).
-2*x**5
Expand 6*c**3 - 4*c**3 + 3*c**3 + 3*c**3 + 3*c**3 - 4*c**3 + (-1 + 4*c**2 + 1)*(c + 2 - 2).
11*c**3
Expand (3 + 0 + 13)*(4 - l**3 - 4)*(-1 - l + 1).
16*l**4
Expand (-f - 2 + 2)*(4 - 4 - 2)*(-4*f**3 - 4*f**3 + 6*f**3)*(8 - 8 + 7*f).
-28*f**5
Expand (5*t - 2*t + 0*t)*(-6 + 1 + 4)*(-2 + 2 - 2).
6*t
Expand (2*y + y - 5*y)*(8*y**4 + 14*y**3 - 3*y**4 - 13*y**3).
-10*y**5 - 2*y**4
Expand -2*w**4 + 2*w**4 - 3*w**3 - 2*w**4 - w**4 + w**4 - 2*w**4 + w**4 - w**4 - w**4 + (2*w**2 - w**2 + w**2)*(3 - 3 + 2*w**2).
-w**4 - 3*w**3
Expand (-4*f - f + 2*f)*((0 + 1 + 1)*(3*f**3 + 2*f**3 - 3*f**3) - 3*f**3 + 6*f**3 + f**3) + 2*f**4 - 8*f**4 - 6*f**3 + 5*f**3.
-30*f**4 - f**3
Expand ((2 - 3 - 3)*(5*v - v - 2*v) - v - 4 + 4 + 6*v - 3*v - 4*v)*(3 + 3*v - 3).
-30*v**2
Expand 0 + 0 + n**3 + (2 - n**3 - 2)*(-2 - 1 + 4) + 1 - 1 + 2*n**3 + n**3 + 0*n**3 + n**3.
4*n**3
Expand 0*j + 4*j**2 + 2*j - 2*j**2 + 0*j**2 + 0*j**2 + j**2 + (-4 + 4 + 2*j)*(3*j + 2*j - 4*j).
5*j**2 + 2*j
Expand -8*u + 0*u + 2*u - 4*u + u + u + (3 - 6 + 0)*(3*u - 4*u + 0*u).
-5*u
Expand (5*j + 9*j - 5*j)*(2*j**2 - 2*j**2 - 2*j**2).
-18*j**3
Expand (2*t + 2 - 2)*(3*t + 10*t - 9*t) + (-2*t + 5*t - 4*t)*(-2*t - t + 5*t).
6*t**2
Expand (3 - 35*u**2 + 17*u**2 + 19*u**2)*(-3 + 2 + 2).
u**2 + 3
Expand (12*x**4 - 27*x**4 - x**4)*(2*x - 3*x - 1 + 2*x).
-16*x**5 + 16*x**4
Expand (-3 - 5 + 6)*(0 - z + 0)*(-5*z + 1 - 1).
-10* | {
"pile_set_name": "DM Mathematics"
} |
et t = s + q. Round t to 1 decimal place.
0.4
Let c = -1676.3 + 1785. What is c rounded to the nearest 10?
110
Let v = -5.3 + 26.3. Let h = v + -21.0001. Round h to 4 dps.
-0.0001
Let x = 0.16 - 10.16. Let p = -42400.9998 - -42391. Let o = x - p. What is o rounded to 4 dps?
-0.0002
Let m = -191.1934 + 191. What is m rounded to two decimal places?
-0.19
Suppose -2*r = -5*a + 52, 6*a - 3*a = -4*r + 26. Suppose 5*o + a = 0, 2*u + 0*o = -2*o + 2. Let b be u/(-12) - 119997/12. Round b to the nearest ten thousand.
-10000
Let v(o) = 578888*o**2 - 9*o + 35. Let y be v(3). What is y rounded to the nearest 100000?
5200000
Let y be 2/(-3)*21/(-14). Let m be (-1 + 1 + y)*66006. Suppose -2*t = -3*c + m, c - 21985 = -3*t - 2*t. What is c rounded to the nearest 10000?
20000
Suppose -3*l + 121928 = 2*i, 0 = -3*i + i - 4. Suppose 9856 = 5*u - l. Round u to the nearest one thousand.
10000
Let g = 20.64615 - -0.3526. Let s = g + -21. Round s to 4 dps.
-0.0013
Let l = -0.137927 - -0.1369. Round l to five decimal places.
-0.00103
Let m = -172.7 - -164.67. Let b = m - -8. Let r = 0.0297 + b. What is r rounded to 4 dps?
-0.0003
Let h(r) = -379*r**3 - 9*r**2 + 8*r + 7. Let b be h(7). Let l = -87375 - b. What is l rounded to the nearest 10000?
40000
Suppose 5*l + 65 = 65. Suppose l = 2*b + 2*c - 300, -b + 3*c + 0 = -158. What is b rounded to the nearest ten?
150
Let q(k) be the first derivative of 600001*k**2/2 + 8*k - 22. Let x be q(-8). What is x rounded to the nearest 1000000?
-5000000
Let l = 1.007 - 1.05532. Round l to 2 dps.
-0.05
Let o(p) = -70*p + 8. Let h(l) = 490*l - 55. Let k(w) = -2*h(w) - 15*o(w). Suppose -4*x - 8 = -6*x. Let s be k(x). What is s rounded to the nearest one hundred?
300
Let r(u) = -7*u - 4*u**2 - u**3 + 2*u**3 + 15 - 2*u**2 + 0*u. Let l be r(7). Let h be (l/9)/((-1)/58800). Round h to the nearest ten thousand.
-100000
Suppose 8*h + 624000 = -0*h. Round h to the nearest 10000.
-80000
Suppose 4*n + 3*k - 1654386 = 417617, 0 = -5*n - 3*k + 2590003. Round n to the nearest 10000.
520000
Let w(y) = y**2 + 5*y - 8. Let u = 16 + -21. Let c be w(u). Let z(q) = -4*q**2 - 11*q - 2. Let s be z(c). What is s rounded to the nearest one hundred?
-200
Let c = 2041 - 1981.82. Round c to the nearest integer.
59
Let k be (12 + -2 - 9)*-683. Round k to the nearest 1000.
-1000
Suppose q + 4*p = 2*p + 9140, 3*q + 5*p = 27425. Round q to the nearest one thousand.
9000
Let y(v) be the second derivative of -23*v**3 - v**2/2 + 124*v. Suppose 10*t = 5*t + 10. Let p be y(t). What is p rounded to the nearest 10?
-280
Let w = -7.099489 - -7.1. Round w to 3 dps.
0.001
Suppose 5*b + 445 = -4*v, 0*b + 1 = -b. Let j be 5 - (-3)/((-15)/v). Round j to the nearest 10.
30
Let m be (-64 + -239756)/((-3)/50). Round m to the nearest one hundred thousand.
4000000
Let k = -0.29 - -0.290337. Round k to four decimal places.
0.0003
Suppose 182800000 = -4*s + 3*x, 2*s - 3*x + 86632573 + 4767427 = 0. What is s rounded to the nearest one million?
-46000000
Let n(f) = -6*f + 9. Let i(r) = r + 1. Let y(p) = 6*i(p) - n(p). Let z be y(-2). What is z rounded to the nearest 10?
-30
Let g = -260685 - -25685. What is g rounded to the nearest ten thousand?
-240000
Let z(j) = 279*j**3 + 8*j**2 - 6*j - 2. Let v be z(10). Let f = 248552 - 81814. Let p = v - f. Round p to the nearest 10000.
110000
Let g = -143 + 1192. Let f = g + -1049.0643. What is f rounded to 2 decimal places?
-0.06
Let k = 0.0567 - -0.2203. Round k to 2 dps.
0.28
Let v = -145766.0031335 - 13065754.9962565. Let k = 13211449 + v. Let n = k + 72. Round n to 4 decimal places.
0.0006
Let c(u) = -367*u**3 - 4*u**2 - 6*u + 3. Let w be c(5). Let x be w/2 + -2 + 3. Round x to the nearest ten thousand.
-20000
Suppose -4*y - 25 = -9, 5*y = x + 3429980. What is x rounded to the nearest one hundred thousand?
-3400000
Let y = 32 + -42. Suppose 0 = -s + 7 - 3. Let a be 1200/y*s/6. What is a rounded to the nearest 100?
-100
Suppose 15595914 + 56468086 = 64*h. Round h to the nearest one hundred thousand.
1100000
Let v = -24 - -14. Let t = v - -14. Let i = 3.96 - t. What is i rounded to 2 decimal places?
-0.04
Let z = 90.8352 - -9.2278. Let q = 100 - z. What is q rounded to 1 decimal place?
-0.1
Suppose 0 = 3*n - 8*n. Suppose n = -2*c - 2*l + 26, 0*c + 5*l = -3*c + 45. What is c rounded to the nearest one hundred?
0
Let l = -120 + 172. Let r = -51.9999772 + l. What is r rounded to six decimal places?
0.000023
Let x = 0.127 + 144.473. Round x to the nearest ten.
140
Let g be 139 + -132 - (1 - 497). Round g to the nearest one hundred.
500
Let u = -36 + 36. Suppose 11*l - 16*l + 7650000 = u. Round l to the nearest 100000.
1500000
Let x = -22807 + 58517. What is x rounded to the nearest ten thousand?
40000
Let z = -0.01 - 1.99. Let i = -0.5 + z. Let r = 2.5143 + i. Round r to three decimal places.
0.014
Let n = -14.36 + -1331.64. Let d = n + 1335.97. Let u = -10 - d. What is u rounded to 1 decimal place?
0
Suppose 0 = 3*h - 17*h + 88200. Suppose 5*f - 4*l = 32412 - 912, f - l = h. Round f to the nearest 1000.
6000
Let q = 452210 + -316530. Round q to the nearest ten thousand.
140000
Let j = -13.7271853 - -13.728. Round j to 4 dps.
0.0008
Let b = -92.114 - -68190.114. Let d = -68097.689946 + b. Let j = d - 0.31. Round j to 5 decimal places.
0.00005
Let y(w) = -128*w**2 + 439*w - 15. Let f be y(-15). Round f to the nearest 10000.
-40000
Let d = 54847025833.000000146 + -54847026012. Let m = d + 179. What is m rounded to seven dps?
0.0000001
Let a = 41.7 + -45. Let f = -3.299998 - a. What is f rounded to 6 decimal places?
0.000002
Let l be (-2 - 2/(-2)) + 5. Suppose l*p + p - 10 = 0. Let a(c) = -2187501*c**3 + c**2 + 3*c - 2. Let j be a(p). What is j rounded to the nearest 1000000?
-18000000
Let y = -1 - -7. Let s = y - 6.0009. What is s rounded to 3 decimal places?
-0.001
Let p be (-250)/(3430537/(-381172) - -9). What is p rounded to the nearest one million?
-9000000
Let a(t) = 22399*t - 3. Suppose 4*d - 2*n + 16 = 0, 3*d - 2*n + 3 = -5*n. Let k be a(d). Round k to the nearest 10000.
-70000
Let i(v) = 17*v**2 - 6*v - 5. Let k = -28 + 52. Suppose -4*r - 2*w - k = -w, -15 = -r + 5*w. Let f be i(r). Round f to the nearest 100.
500
Let v = 385342 - 385288.00064. Let u = v - 54. What is u rounded to four dps?
-0.0006
Let s = -99.4 + 99. Let u = -0.400558 - s. Round u to five dps.
-0.00056
Let l = -19.80000302 - -19.8. Round l to 7 dps.
-0.000003
Let y = 45610.0035 + -45566. Let b = -44 + y. What is b rounded to three dps?
0.004
Let h = 0.0249 - -202.9751. Let q = h + -194.7. Let d = -12.6 + q. What is d rounded to zero dps?
-4
Let t = 236201 + -236350.2505. Let c = t - -161.25. Let y = 12 - c. Round y to three decimal places.
0.001
Let o(j) = -j**3 - 2*j**2 - 2*j + 1. Let z be o(0). Let w be ((2 + 948)/z)/((-6)/(-156)). Round w to the nearest 1000.
25000
Let i = 224 - 361. Let s = -136.99999943 - i. Round s to seven dps.
0.0000006
Let l = 2306 + -2305.99994604. Round l to 5 dps.
0.00005
Let s = 58.43843 - -0.62857. Let v = s + -59. What is v rounded to 2 decimal places?
0.07
Suppose -4*u + 2476 = 3*j - 5*j, 4*j = -2*u - 4962. What is j rounded to the nearest one hundred?
-1200
Let j = 119.9897 - 120. Round j to three decimal places.
-0.01
Let u = -29467.4074 + 29462. Let q = u - -5.4. Round q to three decimal places.
-0.007
Let v = 84 - 84.113. Let i = v + 0.076. What is i rounded to two dps?
-0.04
Let i = 1891.9998208 + -1892. Round i to five dps.
-0.00018
Let q = 644.88025 + -645. Let l = -10.1 - -9.98. Let v = l - q. Round v to 4 decimal places.
-0.0003
Let a = -5556 + 5555.9997503. What is a rounded to 4 dps?
-0.0002
Suppose 3*c = -3*c + 2298000. Round c to the nearest 10000.
380000
Let i = -51 + 40. Let n(g) = g**3 + 9*g**2 - 15*g - 13. Let x be n(i). What is x rounded to the nearest ten?
-90
Suppose 5*z = -r - 24, 0*r - 19 = r + 4*z. Suppose 2*c + r = -1. Let o be ((-13)/c)/((-4)/(-12)). Round o to the nearest ten.
40
Let b = 29427.429 + -16539.4218. Let o = b + -12872. Let t = 16 - o. What is t rounded to three decimal places?
-0.007
Let g = -173373.42382 - -173370. Let l = 3.42 + g. What is l rounded to four decimal places?
-0.0038
Let d(c) = -76*c + 644. Let n be d(8). What is n rounded to the nearest 10?
40
Suppose 5719727 = q + 1647727. What i | {
"pile_set_name": "DM Mathematics"
} |
t in 5*t**3 - 580*t**2 + 3300*t = 0?
0, 6, 110
Let 2*u**5/9 + 44*u**4/9 + 52*u**3/3 + 224*u**2/9 + 146*u/9 + 4 = 0. What is u?
-18, -1
Find y such that -2*y**4 + 1498*y**3 - 47382*y**2 + 90278*y - 44392 = 0.
1, 31, 716
Determine a, given that a**3/2 + 11785*a**2 = 0.
-23570, 0
Determine r so that 2*r**2/5 - 238*r + 15132/5 = 0.
13, 582
Factor 8*d**2 - 2174*d + 88700.
2*(d - 50)*(4*d - 887)
Factor 21*k**3 - 14344*k**2 + 7342075*k/3 + 2101250/3.
(3*k - 1025)**2*(7*k + 2)/3
Factor p**2 + 1389*p + 245648.
(p + 208)*(p + 1181)
Factor r**2/4 + 7497*r/4 - 200075/2.
(r - 53)*(r + 7550)/4
Let -20390498*n**4/5 - 81568378*n**3/5 - 163175073*n**2/10 - 25546*n/5 - 2/5 = 0. What is n?
-2, -1/6386
Let f**4 - 130*f**3 + 5244*f**2 - 46552*f - 778688 = 0. What is f?
-8, 46
Factor 3*c**2/2 + 30399*c/2.
3*c*(c + 10133)/2
Determine x, given that -2*x**2/13 - 216*x/13 + 5418/13 = 0.
-129, 21
Suppose -2*a**4 - 1109*a**3/3 + 10577*a**2/3 - 18028*a/3 + 2716/3 = 0. Calculate a.
-194, 1/6, 2, 7
Factor 3*w**3/4 - 2589*w**2/4 + 74877*w/4 + 77469/4.
3*(w - 833)*(w - 31)*(w + 1)/4
Solve 5*v**2/6 - 6965*v/2 - 326275/3 = 0.
-31, 4210
Suppose -d**4/2 - 8*d**3 - 15*d**2 + 56*d - 65/2 = 0. Calculate d.
-13, -5, 1
Find w, given that -9*w**4 + 23514*w**3 + 172824*w**2 + 251616*w - 251520 = 0.
-4, 2/3, 2620
Find c such that 6*c**5/5 - 213*c**4/5 + 2388*c**3/5 - 8886*c**2/5 + 2286*c - 945 = 0.
1, 7/2, 15
Let -l**3/2 + 80150*l**2 - 3212011250*l = 0. What is l?
0, 80150
Let 6*n**3 - 311*n**2 - 370*n - 53 = 0. What is n?
-1, -1/6, 53
Factor -3*l**2/2 - 64995*l - 1408116675/2.
-3*(l + 21665)**2/2
Find a such that -5*a**3 - 625*a**2 = 0.
-125, 0
Factor 2*y**3 - 2382*y**2 + 744720*y - 20856800.
2*(y - 580)**2*(y - 31)
What is h in -4*h**2 - 300*h + 73336 = 0?
-178, 103
Factor w**3 - 418*w**2 + 39333*w - 38916.
(w - 276)*(w - 141)*(w - 1)
Find v, given that v**2 - 86323*v/2 - 21581 = 0.
-1/2, 43162
Let -3*q**5/5 - 201*q**4/5 - 2289*q**3/5 - 3231*q**2/5 + 5724*q/5 = 0. What is q?
-53, -12, -3, 0, 1
Factor -5*g**3 - 3315*g**2 - 6615*g - 3305.
-5*(g + 1)**2*(g + 661)
Factor 2*n**3/11 + 60*n**2/11 - 24*n + 272/11.
2*(n - 2)**2*(n + 34)/11
Determine w, given that -w**2/2 + 2894*w + 23184 = 0.
-8, 5796
Factor t**3/3 + 4468*t**2 - 170145*t + 4852562/3.
(t - 19)**2*(t + 13442)/3
Determine d, given that 2*d**3 - 440*d**2 + 6934*d - 6496 = 0.
1, 16, 203
Factor -k**4 + 156*k**3 + 7483*k**2 + 70854*k - 172872.
-(k - 196)*(k - 2)*(k + 21)**2
Factor -c**3/6 + 31*c**2/2 + 132*c + 808/3.
-(c - 101)*(c + 4)**2/6
Factor 2*x**3/5 - 8638*x**2/5 - 8644*x/5 + 3456.
2*(x - 4320)*(x - 1)*(x + 2)/5
Factor 4*c**3 + 3083808*c**2 + 594366986304*c.
4*c*(c + 385476)**2
Find m, given that m**3/3 + 17*m**2/3 - 16*m - 180 = 0.
-18, -5, 6
Factor 4*o**2/3 - 5900*o/3 + 29200.
4*(o - 1460)*(o - 15)/3
Factor f**3/3 - 4327*f**2 + 14040033*f + 42133081/3.
(f - 6491)**2*(f + 1)/3
Factor 3*i**3/2 - 741*i**2 - 8973*i/2 - 6750.
3*(i - 500)*(i + 3)**2/2
Suppose 3*b**5 - 188*b**4 + 2988*b**3 - 750*b**2 - 17887*b - 5766 = 0. Calculate b.
-2, -1/3, 3, 31
Determine t so that -t**4/4 - 103*t**3/4 - 51*t**2/2 = 0.
-102, -1, 0
Determine b so that -2*b**4/9 - 458*b**3/9 - 24796*b**2/9 + 135680*b/9 = 0.
-128, -106, 0, 5
What is p in 45*p**5/2 - 23134*p**4 - 270447*p**3/2 - 238211*p**2 - 130266*p - 18612 = 0?
-3, -2, -3/5, -2/9, 1034
Determine h so that 20*h**5 + 2248*h**4 + 7072*h**3 - 169600*h**2 + 416256*h = 0.
-542/5, -12, 0, 4
Factor -7*m**4/9 - 67105*m**3/9 - 160838701*m**2/9 - 22972849*m/3.
-m*(m + 4793)**2*(7*m + 3)/9
Factor 5*k**2 - 255*k - 43310.
5*(k - 122)*(k + 71)
Suppose 5*l**2 + 209695*l = 0. What is l?
-41939, 0
Factor -40*n**2 - 5598*n + 280.
-2*(n + 140)*(20*n - 1)
Let -20*r**3 - 1844*r**2 + 15488*r - 11200 = 0. Calculate r.
-100, 4/5, 7
Factor k**3/4 + 5644*k**2 + 31854736*k.
k*(k + 11288)**2/4
What is l in 10*l**4/9 + 938*l**3/3 - 13136*l**2/9 + 1912*l/3 + 4576/9 = 0?
-286, -2/5, 1, 4
Factor 5*y**3/3 - 1595*y**2/3 - 1070*y.
5*y*(y - 321)*(y + 2)/3
Determine a, given that -12*a**3 - 4954*a**2 + 20842*a - 3336 = 0.
-417, 1/6, 4
Factor 4*f**2 + 106272*f + 705858624.
4*(f + 13284)**2
Factor -3*y**2/5 - 128943*y/5 - 25788.
-3*(y + 1)*(y + 42980)/5
Factor -2*y**2 + 822*y - 9576.
-2*(y - 399)*(y - 12)
Factor 2*l**2/7 + 62862*l/7 + 125716/7.
2*(l + 2)*(l + 31429)/7
Determine k so that -4*k**5 - 408*k**4 - 2252*k**3 + 5160*k**2 + 16128*k = 0.
-96, -7, -2, 0, 3
What is w in -w**2 + 61676*w + 61677 = 0?
-1, 61677
Factor x**3 + 23897*x**2.
x**2*(x + 23897)
Solve -131148304*a**2/5 - 22904*a - 5 = 0 for a.
-5/11452
What is b in -b**4 + 775564*b**3 - 150374879523*b**2 - 775564*b + 150374879524 = 0?
-1, 1, 387782
Let k**4/8 - 137*k**3/2 + 10158*k**2 - 208814*k + 377542 = 0. Calculate k.
2, 22, 262
Factor 3*j**3 - 21186*j**2 - 169644*j - 254520.
3*(j - 7070)*(j + 2)*(j + 6)
Factor z**3/5 + 6794*z**2/5 - 2720*z - 54368/5.
(z - 4)*(z + 2)*(z + 6796)/5
Suppose 5*k**4 + 48655*k**3 + 119212140*k**2 + 4111297920*k - 4230558720 = 0. Calculate k.
-4848, -36, 1
Find u, given that -2*u**4/7 - 612*u**3/7 + 1850*u**2/7 - 1236*u/7 = 0.
-309, 0, 1, 2
Let 12*k**5 - 488*k**4 - 1940*k**3 + 8000*k**2 - 3472*k - 2112 = 0. What is k?
-6, -1/3, 1, 2, 44
Factor -n**3/3 - 1493*n**2/3 + 31578*n - 31080.
-(n - 60)*(n - 1)*(n + 1554)/3
Factor 7*j**3/5 - 2279*j**2/5 + 4537*j/5 - 453.
(j - 1)**2*(7*j - 2265)/5
Factor -3*y**2/4 + 91119*y/2 - 2767557387/4.
-3*(y - 30373)**2/4
Let 243*n**4 + 5238*n**3 - 20589*n**2 + 8364*n - 900 = 0. What is n?
-25, 2/9, 3
Factor -4*w**4 + 12*w**3 + 20*w**2 - 12*w - 16.
-4*(w - 4)*(w - 1)*(w + 1)**2
Factor -g**2/5 - 816438*g/5 - 166642751961/5.
-(g + 408219)**2/5
Find n, given that n**5/5 + 442*n**4 + 1212062*n**3/5 - 10005524*n**2/5 - 92520543*n/5 - 154965006/5 = 0.
-1109, -3, 14
Factor m**3/5 + 1017*m**2/5 - 4081*m/5 + 3063/5.
(m - 3)*(m - 1)*(m + 1021)/5
Find u, given that 4*u**4/7 + 106*u**3/7 - 312*u**2/7 - 3816*u/7 + 864 = 0.
-28, -6, 3/2, 6
Suppose t**3/3 + 1745*t**2/3 - 35281*t/3 + 33535/3 = 0. What is t?
-1765, 1, 19
Factor -2*g**3/7 + 56208*g**2/7 - 224808*g/7 + 224800/7.
-2*(g - 28100)*(g - 2)**2/7
Factor j**3/4 - 151*j**2/2 + 28321*j/4 - 193548.
(j - 127)**2*(j - 48)/4
Factor 2*z**2/9 + 5750*z/9 + 2552.
2*(z + 4)*(z + 2871)/9
Suppose -5*i**3 - 5495*i**2 - 1484720*i + 13811220 = 0. Calculate i.
-554, 9
Factor 2*b**3/15 + 44*b**2/5 + 1462*b/15 + 1484/5.
2*(b + 6)*(b + 7)*(b + 53)/15
Factor -3*f**3/2 - 136701*f**2/2.
-3*f**2*(f + 45567)/2
Find d such that 4*d**2 + 5796*d + 1065312 = 0.
-1233, -216
Solve 21*y**4 - 2188*y**3 + 52580*y**2 + 235008*y - 46656 = 0 for y.
-4, 4/21, 54
Let -4*r**5 + 327*r**4 + 10064*r**3 + 9402*r**2 - 10060*r - 9729 = 0. What is r?
-23, -1, 1, 423/4
Let 4*q**3/15 + 5138*q**2/5 + 7706*q/15 = 0. Calculate q.
-3853, -1/2, 0
Determine j so that -6*j**3 + 1214*j**2 + 812*j = 0.
-2/3, 0, 203
Find x, given that 39*x**3/2 + 327*x**2 - 855*x/2 + 81 = 0.
-18, 3/13, 1
What is x in -x**2/2 - 150852*x - 11378162952 = 0?
-150852
Solve -m**2/5 + 23340*m - 116699/5 = 0 for m.
1, 116699
Let 9*o**4 - 699*o**3 - 234*o**2 = 0. What is o?
-1/3, 0, 78
Factor -4*x**3 + 101312*x**2 - 641406260*x - 1283217800.
-4*(x - 12665)**2*(x + 2)
Factor 2*c**3 - 1648*c**2 - 30392*c + 67360.
2*(c - 842)*(c - 2)*(c + 20)
Factor 4*r**2 - 1508*r - 21896.
4*(r - 391)*(r + 14)
Factor 3*p**2 - 21*p - 8232.
3*(p - 56)*(p + 49)
Let -n**4 + 295*n**3 - 25134*n**2 + 640768*n + 1384448 = 0. Calculate n.
-2, 64, 169
Factor 4*g**2/9 - 20264*g/3.
4*g*(g - 15198)/9
Suppose 4*f**2/7 - 1012*f/7 + 12480/7 = 0. Calculate f.
13, 240
What is p in 26*p**4/3 + 348*p**3 + 3234*p**2 - 9140*p/3 - 544 = 0?
-24, -17, -2/13, 1
Solve 6*g**4 + 4989*g**3 + 1050717*g**2 + 5665947*g + 7675605 = 0.
-413, -3, -5/2
Let 4*u**3 + 34904*u**2 + 69796*u + 34896 = 0. What is u?
-8724, -1
Suppose -2*l**4/3 + 41140*l**3/3 - 41138*l**2/3 = 0. Calculate l.
0, 1, 20569
Factor 2*n**3 + 2672*n**2 - 8034*n.
2*n*(n - 3)*(n + 1339)
Factor 4*t**5/9 + 16*t**4 + 476*t**3/3 + 2312*t**2/9.
4*t**2*(t + 2)*(t + 17)**2/9
Factor 7*s**3/2 - 6477*s**2/2 - 102801*s + 29636.
(s - 956)*(s + 31)*(7*s - 2)/2
Solve -505*r**3 - 164135*r**2 + 161380*r + 3260 = 0 for r.
-326, -2/101, 1
Suppose q**5 - 15*q**4 - 67*q**3 + 183*q**2 + 882*q + 648 = 0. Calculate q.
-3, -1, 4, 18
Find t, given that -4*t**2/3 - 85 | {
"pile_set_name": "DM Mathematics"
} |
(c) w
b
Let h = -166.4 - -166. Which is the biggest value? (a) -0.2 (b) h (c) -5
a
Let d = 7 - 7.4. Let m be (0 - -2) + (-950)/506. Let l = m + -7/23. What is the second smallest value in l, d, 0?
l
Let q be (0/35)/(-2 - -1). Which is the smallest value? (a) -4 (b) -0.1 (c) q
a
Let h be 3*6/9 + 22/(-12). Which is the smallest value? (a) 1/3 (b) h (c) 4
b
Let d = 7.1 - 7. Let r = 2.27 + -0.17. Let j = 2 - r. Which is the second smallest value? (a) 0.3 (b) j (c) d
c
Let s = 10.75 - -0.25. Let t = s + -11.4. Which is the biggest value? (a) t (b) 0.1 (c) -2
b
Let a = -7/36 + -1/18. What is the second biggest value in 2/3, -0.3, a, -0.4?
a
Let f = 5 + -10. Let x = -7904549/240 + 32936. Let o = -1/48 - x. Which is the second smallest value? (a) f (b) -3 (c) o
b
Let h = -61 - -61.5. Which is the biggest value? (a) 4 (b) 58/5 (c) h
b
Let q = -0.09 - -1.29. Let p = q + 9.8. Let b = p + -8. What is the biggest value in b, -1/4, -4?
b
Let h = 313/5 + -62. Let r(k) = k**3 - 4*k**2 - 4*k. Let g be r(5). Which is the second smallest value? (a) -4 (b) h (c) g
b
Let d be 8 - 7 - 1/3. What is the third biggest value in -1/21, -0.3, d?
-0.3
Let r = -22 - -24. What is the biggest value in -5, 1/5, r?
r
Let f be (1 - -1) + 7/22. Let q = 16 + -27/2. Let h = f - q. Which is the biggest value? (a) -0.6 (b) h (c) 4
c
Suppose -3*v = -5*k + v + 42, 0 = 5*v - 10. Suppose -4*n = -k*c + 5*c + 1, -4*n = -4*c + 4. Let u = 0.39 + 0.01. What is the biggest value in c, -4, u?
u
Let t = -0.06 - 0.44. Let x = t - -0.1. What is the biggest value in 3, x, -1/2?
3
Let l = 22/3 - 248/33. Let j be (4/6)/((-4)/60). Let r = 19/2 + j. Which is the smallest value? (a) 3/7 (b) l (c) r
c
Let g = -4 + 4. Suppose 4 - 25 = -2*h - 3*q, 5*h - 3*q = g. What is the smallest value in h, 6, -1/5?
-1/5
Let u = 126 + -131. Let v = -1.4 - -0.4. What is the second smallest value in u, 0.1, v?
v
Let q be (-3)/(-9) + (-8)/6. Let b = -4 + 5. What is the third biggest value in q, b, 4?
q
Let j(c) = -2*c**2 - 4*c + 5. Let k be j(-5). Let z be (-5)/k - 34/70. What is the second biggest value in 1, z, 0.3?
0.3
Let o = -48.4 - -48. Let n = -9/5 + 41/20. Which is the smallest value? (a) 3/7 (b) n (c) o
c
Let b = -61.5 + 61. What is the smallest value in 3, b, -4/7, 0.4?
-4/7
Let y = 76 - 76.3. Which is the smallest value? (a) 3/7 (b) -0.1 (c) -1 (d) y
c
Suppose -p + 2*p - 5*y - 5 = 0, 0 = 4*y. Let m = 2 - 2. What is the second biggest value in m, p, 0.03?
0.03
Let y = -5.054 + 0.054. Which is the fourth biggest value? (a) 8 (b) y (c) -3 (d) -0.1
b
Let s = -1/456 - 145/3192. What is the second smallest value in -1/4, 1/4, s?
s
Let r = -33.74 - -34. Let i = 0.06 - r. Let s = 3.2 - 3. Which is the second smallest value? (a) 2/3 (b) i (c) s
c
Let l = 0.72 - -1.22. Let z = l - -0.06. What is the third biggest value in z, -3/5, 5?
-3/5
Let p = -56.6 + 57. What is the second smallest value in -2, p, 5, -2/13?
-2/13
Let i be (-6)/(-3) + (-1 - 0). What is the third smallest value in 0.5, 0.4, i?
i
Let f = -1 - 1. Let q = -4.4 + 0.4. Let m = 2.5 + -0.5. Which is the second biggest value? (a) f (b) m (c) q
a
Let c = -3 - -2.92. Let z = -3.92 + c. Let v = 2 + z. What is the third smallest value in v, 0, 1?
1
Let q = -19 + 31. Suppose 4*m = q, -d + 9 = 3*d - 5*m. Let v be (d/(-4) + 2)*-2. Which is the second smallest value? (a) v (b) -3 (c) 2
a
Let r = -3 + 0. Let c = -33 + 32. Let i = r - c. What is the second smallest value in 5, i, 2?
2
Let v be -2*(-3)/(-10) - -1. Let o = -1.35 + 1.15. What is the third smallest value in o, v, -5?
v
Let q = 3 + -4. Suppose 0 = 9*u - 14*u. What is the smallest value in 1/2, q, u?
q
Let p(t) = -3*t - 2. Let g be p(-2). Let q = 1367/6 - 228. Let s be 2/(-8)*3 - -1. Which is the second biggest value? (a) s (b) g (c) q
a
Let g = -59 - -58.8. Which is the third smallest value? (a) 5 (b) -5 (c) 0 (d) g
c
Let s = -4 + 1. Let d = 0.1 + -0.6. Let x = 100 - 100.4. Which is the biggest value? (a) x (b) s (c) d
a
Let x = -21 - -23. Let t(v) = v**2 + 5*v + 5. Let u be t(-4). Let j = 8 + -4. Which is the second smallest value? (a) x (b) j (c) u
a
Let p = -4.6 - -0.6. Let g = -7.8 + 8. What is the biggest value in g, p, 1/3?
1/3
Let n = 10 + -3.1. Let z = n - 7. Let v = -2.5 - -3. Which is the third smallest value? (a) z (b) v (c) -1
b
Let r = -63 + 61. What is the smallest value in 3/5, -1, r?
r
Let r = 113/168 + -1/168. What is the smallest value in r, 4/5, 0?
0
Let w = -0.053 + -0.347. Which is the second biggest value? (a) 4 (b) w (c) -4 (d) -0.1
d
Let g be 2/(8/(-12)) + 6. Let x be 8 - 0/2*-1. Let d be 18/x - 6/g. Which is the biggest value? (a) -4/5 (b) -3/7 (c) d
c
Let x be (-3 - 14/(-6))*(-9)/15. Which is the third biggest value? (a) x (b) 9 (c) 1/9 (d) 1
a
Let p = -17.1 + 17. What is the third smallest value in p, 0.5, 5?
5
Let o = -49.9 - -54.96. Let x = -0.06 + o. Which is the second biggest value? (a) 1 (b) -1/7 (c) x
a
Let q = -0.136 + 1.236. What is the second smallest value in q, -5, 2/23, 3?
2/23
Let j be (-5951)/44 + (-1)/(-4). Let v = j + 543/4. Let m = 2.06 - 0.06. What is the second biggest value in m, v, -1/4?
v
Let h be (14/21)/(4/(-3)). What is the third smallest value in h, 5, 0.1?
5
Let t = -3955/6 - -655. Let w = -11/3 - t. Which is the third biggest value? (a) 3 (b) w (c) -2/9
c
Let d = 13 + -14. Which is the second smallest value? (a) -2/9 (b) 4 (c) d
a
Let x = -2.4 + 2. Let q = 0.7 + -0.4. Let y = 0.09 - -2.91. What is the third smallest value in x, q, y?
y
Let y = 0.55 - 0.5. Let w = -0.15 + y. What is the smallest value in w, -1, 2?
-1
Let d be (6 + -5)*(0 - 4). Let a = 5 - 1. Let z = 19 - 14. What is the third smallest value in a, z, d?
z
Let i be (12/(-10))/(1/(-5)). Let h be 1/1 + i/(-15). Which is the smallest value? (a) -5 (b) h (c) 1/5
a
Let r = -0.739 + 4.169. Let y = r - -0.07. Let g = -4 + y. Which is the second biggest value? (a) 2 (b) 0.2 (c) g
b
Let q = -9 + 13. Suppose 2*c - 4 - q = 0. Let f = 50 + -248/5. What is the smallest value in f, c, 0.2?
0.2
Let r = -3.1 + 0.1. Which is the second smallest value? (a) r (b) 2/19 (c) 0.4
b
Let j = 0 - 0.4. Let s = 0.16 + 8.84. Let x = 8 - s. What is the second smallest value in 0.5, x, j?
j
Let c = -136 + 541/4. Let v be ((-7)/5 + 2)*5. What is the second smallest value in c, 0.3, v?
0.3
Let l = -1.8 - -10.8. Let u be -1 + (-4)/(-24) + 1. What is the second smallest value in u, l, 3?
3
Let m(t) = t**2 + 3*t - 5. Suppose 0 = -k - i - 2, -i - 3*i + 4 = k. Let w be m(k). Let d be -1 - w - 4/14. What is the third smallest value in -1/4, d, -4?
-1/4
Let a = 67 + -336/5. What is the third biggest value in 2, 0, a?
a
Let i(o) = -2*o - 3. Let v be i(-2). Let m be v/(-9)*4905/6. Let t = 91 + m. Which is the third biggest value? (a) t (b) -4 (c) -0.3
b
Suppose -5*z + 24 = z. Which is the biggest value? (a) z (b) -2/5 (c) 3
a
Let z = 0.23 - 0.03. Let o be 1/(-3)*9/12. Let y = 0.2 - 0.7. Which is the third biggest value? (a) y (b) o (c) z
a
Suppose 0*i - 4*n = -5*i - 8, -5*i + 5*n = 5. Let a be (1/(-2))/(i/152). Suppose -a + 7 = -3*w. What is the smallest value in w, -5, -2?
-5
Let c = -3 - -2. Suppose -4 = -a + 1. What is the second smallest value in a, 0.2, c?
0.2
Let l = 0.95 - -0.05. Let j be -2 + ((-522)/(-8) - 2). Let o = j + -61. What is the second biggest value in o, -2/7, l?
o
Let g = 1 - 0. Let s be 1*(0 - 2/(-4)). What is the smallest value in -1, s, g?
-1
Let c = -2.6 - -5.6. Let m = 6 - 5.7. What is the smallest value in 4, c, m?
m
Let t = 1 - 1.07. What is the second biggest value in 5, -2, t?
t
Let d = 6 - 6.3. Let z = d + 0.5. Suppose 0*k + 4*k = 4. Which is the second biggest value? (a) k (b) -0.1 (c) z
c
Let n = -10 + 10. Let g = n - -0.1. Which is the third smallest value? (a) g (b) -5 (c) -2/7
a
Let z = -4.3 + 2.3. Which is the smallest value? (a) -2/3 (b) z (c) 1
b
Let l = 0.07 + -1.37. Let p = 0.9 + l. Let z = -0.3 + 0.1. Which is the third smallest value? (a) p (b) z (c) -5
b
Let d(l) = -l**3 + 11*l**2 - 10*l + 3. Let x be d(10). Suppose x*k = -k + 20. What is the smallest value in k, -0.1, 0.5?
-0.1
Let l = -386/7 + 1944/35. Let t = 0.1 + 0. Let g = 0 + t. Which is the third smallest va | {
"pile_set_name": "DM Mathematics"
} |
three dps?
2.052
What is -728.45051 rounded to 1 decimal place?
-728.5
What is 10484044.7 rounded to the nearest 1000000?
10000000
What is 6823079.7 rounded to the nearest one thousand?
6823000
What is 11962312.5 rounded to the nearest 10000?
11960000
Round 48609576.8 to the nearest one million.
49000000
What is 0.00107726877 rounded to three dps?
0.001
What is 7.45505254 rounded to 3 decimal places?
7.455
What is -900.359647 rounded to the nearest 100?
-900
Round -794075.52 to the nearest one thousand.
-794000
What is -0.00060882386 rounded to five dps?
-0.00061
Round 97284.862 to the nearest ten.
97280
Round 57517.0583 to the nearest one hundred.
57500
Round -206636800 to the nearest 1000000.
-207000000
What is 0.0090453254 rounded to three decimal places?
0.009
Round 0.001364252247 to seven decimal places.
0.0013643
Round 0.599399883 to 3 dps.
0.599
What is 0.01697521828 rounded to six decimal places?
0.016975
What is -345.0419457 rounded to one decimal place?
-345
What is -7948604.98 rounded to the nearest ten thousand?
-7950000
What is 0.0046276121 rounded to two decimal places?
0
What is -0.00031814117 rounded to 5 decimal places?
-0.00032
What is 0.00019615001 rounded to seven dps?
0.0001962
Round 126.244363 to one dp.
126.2
Round 0.1232510582 to five decimal places.
0.12325
What is 0.1249073583 rounded to 3 dps?
0.125
Round -4690.0207 to the nearest one thousand.
-5000
What is 12.398405816 rounded to three decimal places?
12.398
Round 44.436649 to the nearest ten.
40
Round 0.00349055137 to four decimal places.
0.0035
What is 604115.41 rounded to the nearest one hundred thousand?
600000
Round -74.417704 to zero dps.
-74
Round -123186318 to the nearest one hundred thousand.
-123200000
What is -378286498 rounded to the nearest one hundred thousand?
-378300000
What is -235181.026 rounded to the nearest 10?
-235180
Round -0.158393398 to two decimal places.
-0.16
Round 19352.845 to the nearest 1000.
19000
What is -61456.4902 rounded to the nearest ten?
-61460
What is -5412743.44 rounded to the nearest one hundred thousand?
-5400000
What is 14364.502 rounded to the nearest ten?
14360
What is -53884819 rounded to the nearest 10000?
-53880000
What is 0.2514345643 rounded to 3 decimal places?
0.251
Round -0.00010111972128 to six decimal places.
-0.000101
Round -130.87773 to 1 decimal place.
-130.9
Round -3.48589258 to three dps.
-3.486
Round -116598919.91 to the nearest 1000000.
-117000000
What is -180.8465769 rounded to the nearest ten?
-180
What is 4.561408607 rounded to 2 decimal places?
4.56
What is -2291.74906 rounded to the nearest ten?
-2290
Round 4774.983 to the nearest 10000.
0
Round -188374.769 to the nearest ten thousand.
-190000
What is 0.000110841425 rounded to 6 dps?
0.000111
Round 0.0036601264 to 6 dps.
0.00366
Round 19483.57691 to the nearest one thousand.
19000
What is -0.25306394 rounded to 2 decimal places?
-0.25
What is 34.9316511 rounded to the nearest integer?
35
What is -43.54586937 rounded to three dps?
-43.546
Round -3371.6999 to the nearest one thousand.
-3000
Round 0.01269603132 to three dps.
0.013
What is -0.00001062307505 rounded to 6 dps?
-0.000011
What is -59134.722 rounded to the nearest one thousand?
-59000
What is 52432.824 rounded to the nearest 10?
52430
What is 0.000657659115 rounded to four dps?
0.0007
What is 801281.67 rounded to the nearest one hundred thousand?
800000
What is -58825949.5 rounded to the nearest one million?
-59000000
What is 68361635.5 rounded to the nearest 1000000?
68000000
What is 161473.886 rounded to the nearest 10?
161470
Round 0.000007701268271 to six decimal places.
0.000008
Round -0.00301331347 to 6 dps.
-0.003013
What is -7385.02108 rounded to the nearest one thousand?
-7000
Round 0.07269712 to 2 dps.
0.07
Round 149.3172956 to the nearest 10.
150
What is -0.0475725365 rounded to six dps?
-0.047573
What is 0.0413448496 rounded to 5 dps?
0.04134
Round 388.0714262 to the nearest ten.
390
What is -6159.9745 rounded to the nearest one hundred?
-6200
What is 19.0889097 rounded to 2 decimal places?
19.09
Round -0.00038925266 to 4 decimal places.
-0.0004
What is -159942547.5 rounded to the nearest 10000?
-159940000
Round 507668429.3 to the nearest one million.
508000000
What is 176.9171751 rounded to one decimal place?
176.9
What is -0.00001183348444 rounded to six decimal places?
-0.000012
What is 0.002275961156 rounded to five dps?
0.00228
Round -509.68 to the nearest one hundred.
-500
What is 0.000176440514 rounded to five decimal places?
0.00018
Round -270087.5375 to the nearest ten thousand.
-270000
What is -0.4885883986 rounded to 2 dps?
-0.49
Round 138887.5658 to the nearest 1000.
139000
What is -5.4807429 rounded to zero dps?
-5
Round 99730.60239 to the nearest ten.
99730
What is 14014.7877 rounded to the nearest one thousand?
14000
What is -56.2047075 rounded to 2 dps?
-56.2
Round 727739610 to the nearest 100000.
727700000
What is 2105.98106 rounded to 0 decimal places?
2106
Round 0.834848284 to one dp.
0.8
Round 8845.82631 to one decimal place.
8845.8
Round 21959251.77 to the nearest 1000.
21959000
Round 1039.106 to the nearest 100.
1000
What is -31.6437 rounded to zero dps?
-32
What is 4.23519122 rounded to 3 dps?
4.235
What is 3918059.5 rounded to the nearest 100000?
3900000
What is 25126.38763 rounded to the nearest integer?
25126
Round -36842360 to the nearest 100000.
-36800000
Round 0.000044414928 to six dps.
0.000044
What is -5083.423075 rounded to one dp?
-5083.4
What is 361.679418 rounded to two dps?
361.68
Round 4.8336895 to three decimal places.
4.834
What is -20603079.19 rounded to the nearest 100000?
-20600000
Round -2141.8057 to the nearest ten.
-2140
Round 7854851.483 to the nearest one thousand.
7855000
What is -403.271 rounded to the nearest 100?
-400
What is 34.29379784 rounded to the nearest 10?
30
What is -1.872477893 rounded to four decimal places?
-1.8725
Round -921909540 to the nearest 1000000.
-922000000
Round -13.4837804 to 0 dps.
-13
Round 8553993 to the nearest 1000000.
9000000
What is 848379.64 rounded to the nearest ten thousand?
850000
What is -0.010476247156 rounded to three decimal places?
-0.01
What is -150323.679 rounded to the nearest one hundred?
-150300
What is -0.0761275746 rounded to 2 decimal places?
-0.08
What is 7.853824148 rounded to 4 decimal places?
7.8538
What is -0.0000310956576 rounded to 5 dps?
-0.00003
What is 0.0003027098751 rounded to six decimal places?
0.000303
Round -9688.603033 to 1 decimal place.
-9688.6
Round 0.00000531375118 to 6 decimal places.
0.000005
Round -0.000101277245 to five dps.
-0.0001
What is 9948.8537 rounded to the nearest 1000?
10000
Round -765408.3475 to the nearest 10.
-765410
Round 520370904.9 to the nearest ten thousand.
520370000
Round 1973467.786 to the nearest 1000.
1973000
What is -824617.396 rounded to the nearest 10000?
-820000
What is 429102.364 rounded to the nearest 100000?
400000
What is 0.000212068804 rounded to seven decimal places?
0.0002121
What is 4870292.92 rounded to the nearest ten thousand?
4870000
What is 19646139200 rounded to the nearest 1000000?
19646000000
Round 11181175000 to the nearest one million.
11181000000
Round -2.32534774 to two dps.
-2.33
Round -0.0000254164832 to 6 dps.
-0.000025
Round 18946205.7 to the nearest one thousand.
18946000
Round 29.10054643 to 0 dps.
29
What is 1915989.75 rounded to the nearest one hundred?
1916000
Round -0.000183579698 to five decimal places.
-0.00018
What is -2996.2616 rounded to the nearest ten?
-3000
What is -16832.67318 rounded to the nearest 100?
-16800
Round -7.78481392 to one decimal place.
-7.8
What is -0.0002879595016 rounded to six dps?
-0.000288
What is -0.055053105 rounded to five dps?
-0.05505
Round -67925172 to the nearest one hundred thousand.
-67900000
What is -7298.59105 rounded to the nearest integer?
-7299
What is 0.000045611665 rounded to 5 dps?
0.00005
Round 57867.45 to the nearest 1000.
58000
What is 31402315 rounded to the nearest one hundred thousand?
31400000
Round 254830.991 to the nearest ten.
254830
Round -0.0003569409 to four dps.
-0.0004
What is 151.284616 rounded to 0 decimal places?
151
Round -441.94629 to 1 decimal place.
-441.9
What is 417.156815 rounded to the nearest integer?
417
What is 0.000197848 | {
"pile_set_name": "DM Mathematics"
} |
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