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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" }
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{ "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 What is the tens digit of 1877139? 3 What is the ten millions digit of 87844410? 8 What is the hundreds digit of 1528713827? 8 What is the thousands digit of 32632124? 2 What is the hundreds digit of 53926639? 6 What is the tens digit of 51153834? 3 What is the hundred thousands digit of 90556979? 5 What is the thousands digit of 350930877? 0 What is the billions digit of 2295981032? 2 What is the thousands digit of 805147431? 7 What is the hundred thousands digit of 67023330? 0 What is the thousands digit of 11789855? 9 What is the millions digit of 111835362? 1 What is the ten millions digit of 285604934? 8 What is the hundred thousands digit of 20353282? 3 What is the tens digit of 95097176? 7 What is the tens digit of 889410455? 5 What is the ten millions digit of 26314874? 2 What is the hundred thousands digit of 557159571? 1 What is the thousands digit of 253433416? 3 What is the hundred thousands digit of 1232395077? 3 What is the tens digit of 658730280? 8 What is the ten thousands digit of 4602047806? 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 What comes next: -267, -416, -611, -864, -1187, -1592, -2091? -2696 What is the next term in -912034, -912037, -912042, -912049? -912058 What is next in -5, -105, -207, -311? -417 What is next in 683, 2690, 6035, 10718? 16739 What is the next term in 745, 3014, 6805, 12118? 18953 What is the next term in 4, -21, -48, -77, -108, -141? -176 What is the next term in -5746, -11512, -17278, -23044, -28810, -34576? -40342 What is the next term in 117, 149, 201, 267, 341, 417? 489 What is the next term in -83499, -83507, -83529, -83571, -83639, -83739, -83877? -84059 What is the next term in 153, 268, 297, 198, -71, -552? -1287 What is next in -643, -673, -725, -799, -895, -1013? -1153 What is the next term in 232, 333, 500, 733, 1032, 1397? 1828 What is the next term in -68140, -68141, -68142? -68143 What comes next: 4264, 8514, 12764, 17014? 21264 What is the next term in -6757, -13435, -20115, -26797, -33481, -40167, -46855? -53545 What is next in -876, -850, -824, -798? -772 What is next in -39, -382, -1337, -3216, -6331, -10994, -17517? -26212 What is next in 3705, 3703, 3701, 3699, 3697? 3695 What is next in -791, -1590, -2399, -3218? -4047 What is next in 133011, 133027, 133045, 133065, 133087, 133111, 133137? 133165 What comes next: 589, 756, 1209, 2092, 3549? 5724 What comes next: -121, -783, -1895, -3463, -5493, -7991? -10963 What is the next term in -112598, -112599, -112600? -112601 What comes next: 1476, 2950, 4426, 5904? 7384 What comes next: -106, -922, -3124, -7402, -14446, -24946, -39592? -59074 What is the next term in -841, -3336, -7487, -13294, -20757? -29876 What comes next: -46, -91, -244, -565, -1114, -1951? -3136 What is the next term in -28618, -28616, -28614, -28612, -28610? -28608 What is the next term in 15125, 60535, 136227, 242207, 378481, 545055, 741935? 969127 What is next in 2314513, 4629026, 6943539, 9258052, 11572565? 13887078 What is the next term in -2620, -2604, -2584, -2566, -2556? -2560 What is next in -64, -226, -488, -850, -1312? -1874 What is the next term in 50, -143, -840, -2293, -4754, -8475? -13708 What is next in -233, -485, -757, -1049? -1361 What comes next: 659, 984, 651, -670, -3309, -7596, -13861, -22434? -33645 What is the next term in 372, 427, 600, 951, 1540, 2427, 3672? 5335 What is the next term in 20, 175, 458, 875, 1432, 2135, 2990, 4003? 5180 What comes next: 164, 369, 574, 779? 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 What is the next term in 898, 1795, 2692, 3589, 4486? 5383 What is next in 1111, 1749, 2391, 3037, 3687, 4341, 4999? 5661 What is the next term in 1053, 1838, 3145, 4974, 7325? 10198 What is next in 9526, 19071, 28616? 38161 What is the next term in 223286, 446572, 669858, 893144, 1116430, 1339716? 1563002 What comes next: -5348, -5346, -5336, -5312, -5268? -5198 What is the next term in 40528, 40503, 40452, 40369, 40248, 40083? 39868 What comes next: 22824, 22819, 22814, 22809, 22804? 22799 What is next in -30513, -61014, -91515, -122016, -152517, -183018? -213519 What is the next term in 1887, 1807, 1727? 1647 What is next in 7093, 28381, 63869, 113563, 177469, 255593, 347941, 454519? 575333 What is next in 541, 483, 425, 367, 309, 251? 193 What is the next term in -87662, -175320, -262976, -350630, -438282, -525932? -613580 What comes next: 422, 862, 1310, 1766? 2230 What is next in -1944, -4331, -6720, -9111? -11504 What is the next term in -6110234, -6110235, -6110236, -6110237, -6110238? -6110239 What is next in -1639, -2558, -3467, -4360, -5231, -6074, -6883, -7652? -8375 What is next in 92978, 92978, 92976, 92972, 92966? 92958 What is the next term in 120046, 120045, 120044, 120043, 120042? 120041 What comes next: -5, -478, -1417, -2822, -4693, -7030? -9833 What is the next term in -6724, -6736, -6746, -6754? -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 What is the hundred thousands digit of 24602297? 6 What is the tens digit of 259178431? 3 What is the units digit of 2636026930? 0 What is the tens digit of 327359401? 0 What is the thousands digit of 420101155? 1 What is the ten millions digit of 211077207? 1 What is the thousands digit of 45718676? 8 What is the hundreds digit of 135250701? 7 What is the ten millions digit of 73368440? 7 What is the ten thousands digit of 584950354? 5 What is the hundreds digit of 13870965? 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{ "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" }