text stringlengths 270 8.19k | meta dict |
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1/10*o**4 + 0*o**3 + 0*o**2 + 17*o + 0*o**a - 1/70*o**7 + 9/100*o**5. Factor c(m).
-3*m**2*(m - 1)**2*(m + 2)/5
Factor -18/11*j**4 + 2/11*j**5 + 0 - 32/11*j**2 + 0*j + 48/11*j**3.
2*j**2*(j - 4)**2*(j - 1)/11
Let u be 214/1*(-8)/((-128)/(-56)). Let k = u + 3781/5. Determine d, given that 2/5*d**3 + k + 16/5*d**2 + 42/5*d = 0.
-3, -2
Suppose h - 5*l = 34, -208*h - 26 = -210*h + 3*l. Let 0*v**3 + 2/9*v**h - 4/3*v - 14/9*v**2 + 0 = 0. What is v?
-2, -1, 0, 3
Suppose 3*k + 23 - 62 = 0. Suppose 5*i = -4*y + k, 5*i - i - 3*y + 2 = 0. Factor i + 20*f - 17 - 4*f**2 + 0.
-4*(f - 4)*(f - 1)
Let 1 + 219*y**3 - 267*y**3 + 4*y**4 + 48*y - 4*y**2 - 1 = 0. What is y?
-1, 0, 1, 12
Let n(y) = -y**3 - 21*y**2 - 51*y - 247. Let q be n(-19). Let 4/9*s**2 - 2/9*s**4 + 0*s - 2/9*s**3 + q = 0. Calculate s.
-2, 0, 1
Let h(f) be the second derivative of 104/11*f**3 - 193/66*f**4 + 0 + 13/55*f**5 - 1/165*f**6 + 161*f - 144/11*f**2. Factor h(x).
-2*(x - 12)**2*(x - 1)**2/11
Factor 7467947 + o**2 + 10383*o + 4*o**2 + 1797*o - 50327.
5*(o + 1218)**2
Let k(n) = 6*n**2 - 5456*n + 3726462. Let b(g) = -13*g**2 + 10911*g - 7452927. Let m(y) = -4*b(y) - 9*k(y). Suppose m(r) = 0. Calculate r.
1365
Factor -13*r - 49*r - r**3 - r**3 + 25*r**2 - 89*r**2 + 124 + 4*r.
-2*(r - 1)*(r + 2)*(r + 31)
Suppose 5*w = 5*i, 12*w - 7*w + i = 30. Suppose -145*v**5 + 278*v**5 + 263*v**4 - 5422*v**3 - 7770*v**2 + 307*v**4 - 1764*v - 147*v**w = 0. Calculate v.
-1, -2/7, 0, 21
Let v be 41/2 + 35/(-70). Factor -6*n**2 + n**2 - 24 + v*n - n**2 + 2*n**2.
-4*(n - 3)*(n - 2)
Suppose 3*u - 2*u = 2*h + 6, 6 = u - h. Let c be (20/u)/((-84)/(-126)). Find f such that 0 - 1/12*f**c + 0*f - 1/12*f**3 + 0*f**2 - 1/6*f**4 = 0.
-1, 0
Let s(r) = -r**3 - 17*r**2 + 38*r + 40. Let i be 1/((-8)/52 + (-75)/(-741)). Let c be s(i). Solve 48*a**2 + 0 - 32/3*a - c*a**3 - 100/3*a**4 = 0 for a.
-2, 0, 2/5
Let -21/2*k + 1/2*k**2 + 54 = 0. Calculate k.
9, 12
Let g be ((-40)/45)/((-1232)/3564). Let z(m) = -m**3 - 3*m**2 - m. Let r be z(-3). Factor -57/7*y - g + r*y**2.
3*(y - 3)*(7*y + 2)/7
Let l(x) be the second derivative of 3*x**5/20 - 35*x**4/4 + 116*x**3 - 648*x**2 - 516*x. Find c, given that l(c) = 0.
4, 27
Let -96/5*l**2 + 192 - 78/5*l**3 + 2/5*l**4 + 616/5*l = 0. Calculate l.
-2, 3, 40
Factor -16/3*x**2 - 2/3*x**3 + 160/3 + 56/3*x.
-2*(x - 4)*(x + 2)*(x + 10)/3
Let k(x) be the first derivative of 14*x**2 - 12*x + x**4 - 20/3*x**3 - 21. Find b such that k(b) = 0.
1, 3
Let m(f) = -f**3 - f**2 - 8*f. Let w(l) = 400685*l**3 + 403217*l**2 + 2504*l + 4. Let t(d) = -4*m(d) + w(d). Solve t(q) = 0 for q.
-1, -2/633
Let m(n) = -174*n - 3480. Let l be m(-20). Let v(k) be the third derivative of l*k**5 + 1/28*k**4 + 0 + 2/21*k**3 - 23*k**2 - 1/420*k**6 + 0*k. Factor v(d).
-2*(d - 2)*(d + 1)**2/7
Let -496/5 - 1/5*z**2 + 50*z = 0. What is z?
2, 248
Suppose 352/3*t**3 - 4/3*t**4 + 1832/3*t + 484*t**2 + 736/3 = 0. What is t?
-2, -1, 92
Let z(y) be the second derivative of -y**7/14 + 3*y**6/5 - 39*y**5/20 + 3*y**4 - 2*y**3 - 574*y + 2. Determine p so that z(p) = 0.
0, 1, 2
Let u(c) = -6*c**2 - 4*c + 9*c**4 - 11*c**3 + 8*c**3 - 4*c**4 - 3. Let i(r) = -3*r**4 + 4*r**3 + 7*r**2 + 4*r + 2. Let x(k) = 3*i(k) + 2*u(k). Factor x(g).
g*(g + 1)**2*(g + 4)
Solve -v**3 + 484*v**2 + 805*v + 833*v - 1638*v = 0.
0, 484
Suppose 5*b = 4*b + 2. Let 5*v**5 + 14*v + 17*v**b - 119*v + 90 + 24*v**3 - 40*v**4 - 67*v**2 + 76*v**3 = 0. Calculate v.
-1, 1, 2, 3
Let i(h) be the second derivative of -h**5/5 + 5*h**4 - 94*h**3/3 + 66*h**2 - 4667*h. Factor i(m).
-4*(m - 11)*(m - 3)*(m - 1)
Let w(h) be the second derivative of h**6/10 - 12*h**5/5 + 15*h**4/4 - 1161*h. Suppose w(q) = 0. Calculate q.
0, 1, 15
Let n(b) be the third derivative of b**5/390 - 25*b**4/78 + 37*b**3/3 - 20*b**2 - 139*b. Factor n(m).
2*(m - 37)*(m - 13)/13
Let u be 8/((816/80 - 10)/((-2)/(-20))). Suppose -6/7*k**3 + 3/7 + 0*k**2 - 3/7*k**u + 6/7*k = 0. Calculate k.
-1, 1
Let x = 1627739/3 - 542579. Factor 0 - x*z**4 + 10/3*z**3 - 14/3*z**2 + 2*z.
-2*z*(z - 3)*(z - 1)**2/3
Let f = -586902 - -4108330/7. Let -4/7*u**2 + 2/7*u**3 + f - 8/7*u = 0. What is u?
-2, 2
Let s(v) be the second derivative of -1/78*v**4 + 0 + 74*v + 0*v**2 + 1/195*v**6 - 1/39*v**3 + 1/130*v**5. Suppose s(i) = 0. Calculate i.
-1, 0, 1
Factor -636/11 + 206/11*f + 2/11*f**2.
2*(f - 3)*(f + 106)/11
Let s(k) be the first derivative of k**6/27 - 26*k**5/45 + 19*k**4/18 + 290*k**3/27 + 176*k**2/9 + 128*k/9 + 1256. Determine z, given that s(z) = 0.
-1, 8
Let w(y) = -3*y**2 - 4*y + 46. Let d be w(-5). Let g be d/(-15) + (287/(-70) - -4). What is r in -1/2 - r - g*r**2 = 0?
-1
Let m(p) = -p + 11. Let z be m(10). Determine h, given that -5/3*h + 7/9*h**2 - 1/9*h**3 + z = 0.
1, 3
Suppose -280*x**3 + 845*x**3 - 286*x**3 - 280*x**3 - x**4 + 6*x**2 = 0. Calculate x.
-3, 0, 2
Let k(i) = i**3 + 5*i**2 - 3. Suppose 0 = -4*j - 3*n - 0*n + 5, -3*j + 4*n = -35. Let a(v) = -v**3 - 9*v**2 + 5. Let t(d) = j*k(d) + 3*a(d). Factor t(f).
2*f**2*(f - 1)
Suppose -102956 = -4*n + i - 102956, -n + i - 9 = 0. Factor 7/4*x**4 - 1/4*x**5 - x + 0 - 15/4*x**n + 13/4*x**2.
-x*(x - 4)*(x - 1)**3/4
Factor 536/3*l**3 + 5639216/3*l + 1/3*l**4 + 31862*l**2 - 5735339/3.
(l - 1)*(l + 179)**3/3
Suppose -90 = 316*u - 331*u. Suppose 12 = -8*c + 11*c - 4*o, -c - 2*o - u = 0. Factor 0*h - 2/7*h**4 + c*h**2 + 0 - 2/7*h**3.
-2*h**3*(h + 1)/7
Let b(a) be the second derivative of -a**6/90 - 19*a**5/60 - 16*a**4/9 - 10*a**3/3 + 3*a - 643. Factor b(o).
-o*(o + 2)**2*(o + 15)/3
Let a = 735 + -729. Factor -a - 12 - 8*h + h**2 - 15.
(h - 11)*(h + 3)
Let c = 670 - 630. Suppose c*u**2 + 0*u**3 + 180 - 8*u**2 + 3*u**2 + 20*u**2 + 5*u**3 + 180*u = 0. Calculate u.
-6, -3, -2
Let 95/2*k**4 + 365/2*k + 275*k**2 + 91/2 + 185*k**3 + 1/2*k**5 = 0. Calculate k.
-91, -1
Suppose 4*t + 2*j - 32 = -2*j, t = -5*j + 24. Factor -12*x - 132*x + 2*x**5 - 26*x**t + 86*x**3 + 162*x**2 - 192*x**2.
2*x*(x - 8)*(x - 3)**2*(x + 1)
Let t(k) = 8*k**3 + 114*k + 115*k + 51*k - 383 + 113*k**2. Let d(p) = -4*p**3 - 56*p**2 - 140*p + 192. Let j(g) = 9*d(g) + 4*t(g). Factor j(q).
-4*(q - 1)*(q + 7)**2
Let n(o) = 218*o - 1744. Let v be n(8). Let j(w) be the first derivative of -17 - 1/3*w**2 + v*w - 2/9*w**3. Find h such that j(h) = 0.
-1, 0
Let z(f) be the third derivative of -1/96*f**8 + 0*f + 1/16*f**6 - 7/12*f**4 + 0 - 11/24*f**5 + f**3 + 23/420*f**7 - 175*f**2. Solve z(j) = 0 for j.
-1, 2/7, 2, 3
Factor 10 + 50 + 66*a**2 + 123*a + 945*a**3 - 310*a**3 - 318*a**3 - 314*a**3.
3*(a + 1)**2*(a + 20)
Let x be ((-3)/(-4))/(0 - 5/(-40)). Let -18*l**3 + 2*l**2 - 14*l**2 + x*l**3 + 14*l**3 = 0. What is l?
0, 6
Let p(u) be the first derivative of -u**5/150 - 13*u**4/30 - 169*u**3/15 + 87*u**2/2 + 87. Let z(q) be the second derivative of p(q). Factor z(a).
-2*(a + 13)**2/5
Let l(j) be the second derivative of 97 + 2*j + 375/8*j**2 - 1/16*j**5 - 275/24*j**3 + 65/48*j**4. Let l(o) = 0. Calculate o.
3, 5
Let m(l) be the third derivative of -l**5/300 - l**4/10 + 14*l**3/15 - 2063*l**2. Let m(j) = 0. What is j?
-14, 2
Let w(i) be the second derivative of i**6/120 - 9*i**5/8 - 97*i**4/48 + 91*i**3/4 + 8927*i. Factor w(n).
n*(n - 91)*(n - 2)*(n + 3)/4
Let p(m) be the first derivative of -2*m**3/27 - 28*m**2/9 + 62*m/3 + 158. Factor p(r).
-2*(r - 3)*(r + 31)/9
Let i(k) be the first derivative of 50*k**6/21 + 8*k**5 - 1331*k**4/7 - 24368*k**3/21 - 8440*k**2/7 - 3200*k/7 + 4531. Let i(v) = 0. What is v?
-5, -2/5, 8
Let i(r) = -r**4 - 234*r**3 - 2808*r**2 - 9290*r - 6670. Let a(z) = 116*z**3 + 1404*z**2 + 4644*z + 3338. Let x(k) = -5*a(k) - 2*i(k). Factor x(m).
2*(m - 67)*(m + 1)*(m + 5)**2
Let b(o) = -7*o**3 + 15*o**2 + 67*o + 105. Let u(k) = 2*k**3 - 2*k**2 - k - 7. Let m(a) = b(a) + 3*u(a). Factor m(i).
-(i - 14)*(i + 2)*(i + 3)
Factor -2/5*x**2 - 464/5 + 236/5*x.
-2*(x - 116)*(x - 2)/5
Let s be -5*24/(-5) + -2. Find f such that -2*f**3 + 5 + 14 - 15*f**2 - 4 - s*f = 0.
-5, -3, 1/2
Let k(d) be the second derivative of -3*d**5 + 163*d**4/4 - 172*d**3 + 72*d**2 + 1863*d + 1. Let k(j) = 0. Calculate j.
3/20, 4
Let g(k) be the first derivative of -1/4*k**3 - 61 + 27/4*k - 3*k**2. Determine r so that g(r) = 0.
-9, 1
Let l be (78/76 - 1)*154/(-22). Let k = 325/114 + l. Let 14/3*v**2 - 16/3*v**4 - 2/3*v**3 - k*v**5 + 2/3 + 10/3*v | {
"pile_set_name": "DM Mathematics"
} |
2 - 15*k + 24. Let x(g) = 5*l(g) - 2*r(g). Calculate the remainder when 10 is divided by x(9).
1
Suppose -3*q - 11 = 4. Let k = q - -13. Calculate the remainder when 21 is divided by k.
5
Suppose 5*w - 14 = 2*w - 5*g, 0 = w - g + 6. Let r(z) = -26*z + 1. Calculate the remainder when r(w) is divided by 27.
26
Suppose 2*y = 6*y - 16, 0 = -2*h - 4*y + 20. What is the remainder when 2 is divided by h?
0
Let u(c) = -c**3 - 4*c**2 + 7*c - 5. Calculate the remainder when u(-8) is divided by 33.
30
Let m = -3 - -11. Suppose 5*i - 72 = m. Calculate the remainder when i is divided by 5/((-15)/(-6)) - -4.
4
Let m = -5 + 8. Calculate the remainder when m is divided by 2/(-1)*(-4)/4.
1
Let r be ((-132)/10)/((-14)/35). Let d = 46 - r. What is the remainder when 50 is divided by d?
11
Let q = 50 + -43. What is the remainder when 13 is divided by q?
6
Let o(y) = 5*y + 2. Let r be (1/1)/(1/(-2)). Calculate the remainder when o(4) is divided by (36/(-15))/(r/10).
10
Suppose 4*k - 643 = -59. Suppose -7*n + 78 = -k. What is the remainder when n is divided by 17?
15
Let t(h) = h**3 + 20*h**2 + 17*h + 26. Suppose 5*p = 10 + 100. Calculate the remainder when t(-19) is divided by p.
20
Suppose 3*d + 9 = 6*d - l, 2*l = 3*d - 6. Calculate the remainder when 6 is divided by d.
2
Let p(b) be the first derivative of 5*b**3/3 - b**2/2 - 3. What is the remainder when p(-2) is divided by 8?
6
Let d(j) = 12*j**2 - 6*j - 5. Calculate the remainder when 29 is divided by d(-1).
3
Calculate the remainder when (-2)/6 + (0 - (-408)/9) is divided by 23.
22
Let m(i) = i**3 + 14*i**2 - 2*i - 12. Calculate the remainder when 30 is divided by m(-14).
14
Let o(z) = -2*z - 11. Let t be o(-11). Let l = t - 10. What is the remainder when l is divided by 1?
0
Suppose -5*h + 5*i = -85, -5*i = -0*h + 2*h - 34. Calculate the remainder when 45 is divided by h.
11
Let y(b) = b + 26. What is the remainder when y(-8) is divided by 4?
2
Suppose 4*o + 5*t + 18 = 65, 4*o = -4*t + 48. Suppose -5*n + 2*n = 12. Let f = n - -41. What is the remainder when f is divided by o?
11
Suppose 5*s + 6 = 2*q - 10, 19 = -2*s + 5*q. Let z be (s - -2)/3 - 2. Calculate the remainder when -2 - ((-2 - z) + -12) is divided by 6.
4
Suppose -4*u = 2*l - 12, 0 = -5*l - u - 0*u + 3. Let b = l - -4. Suppose 4*g + 0*j - 20 = b*j, 0 = -4*j. Calculate the remainder when 9 is divided by g.
4
Let f be 6/(-9) - (-97)/(-3). Let q = 67 + f. Calculate the remainder when q is divided by 18.
16
Let c = 5 + -1. Suppose 0 = u - 2*u + c. What is the remainder when 23 - (u/(-2) - 0) is divided by 13?
12
Suppose 42 = -u + 4*u. What is the remainder when u is divided by 162/21 + 2/7?
6
Calculate the remainder when 69 is divided by 5 + (-100)/(-5) - (1 - 0).
21
Suppose 0 = -v + l + 2, 5*v - 4*l + 9*l - 30 = 0. Let q(m) = -m**2 + 26*m - 35. What is the remainder when q(24) is divided by v?
1
Let g(a) be the second derivative of -3*a**3/2 - 4*a**2 - 3*a. What is the remainder when g(-9) is divided by 19?
16
Let m(o) = -2*o + 1. Let d be m(-3). Let l = d + 22. Calculate the remainder when l is divided by 1/(1/14) - -1.
14
Calculate the remainder when 16 is divided by (-1)/(-2)*20 - 4.
4
Let c be (1 + (-4)/3)*3. Let d(x) = -29*x. Let q be d(c). Let p = q + -11. Calculate the remainder when 52 is divided by p.
16
Suppose 12 = -2*t - w + 5*w, -t + 4*w = 14. What is the remainder when t*(-3)/(-6) - -46 is divided by 16?
15
Suppose 5*c - 21 = 34. Let h = 27 - 6. What is the remainder when h is divided by c?
10
Let w(r) = 3*r + 6*r**2 - 1 + 0*r + 3 + r**3. Suppose -n = y + 3, 4*y - 5*y = 5*n - 1. What is the remainder when 65 is divided by w(y)?
21
Let p = 31 - -3. Suppose -b = k - p - 13, 0 = -b. Suppose 2*l - 32 = -m, 2*l + 3*l + 3*m - 80 = 0. What is the remainder when k is divided by l?
15
Let h = -12 + 8. Calculate the remainder when 37 is divided by 1 + -6*6/h.
7
Suppose 2*y + 56 = 4*y. Let v(d) = 16*d**2 - 6*d + 5. Calculate the remainder when y is divided by v(1).
13
Suppose -h - 13 = 4*u, -u - 5 = 5*h + 4*u. Suppose 4*n - 60 = -0*n. What is the remainder when 55 - 2*(-3)/h is divided by n?
12
Suppose 2*i + 3*q + 10 = 5*q, 3*i + 2*q + 35 = 0. Calculate the remainder when -7 + 9 - 5*i is divided by 8.
7
Suppose -2*u - 5*g = -15, -2*u = 4*g - 14 - 6. What is the remainder when 29 is divided by u?
9
Suppose a + 3*k - 14 = 0, 3*k = -5*a + 1 + 81. Calculate the remainder when 98 is divided by a.
13
Let i = 2 - 6. Let u = i + 4. Suppose 0 = -w + 5*h + 6 + 26, -w - 5*h - 18 = u. What is the remainder when w is divided by 3?
1
Suppose 0 = -3*j + 6, -j + 44 = 3*z - 48. Calculate the remainder when z is divided by 8.
6
Let z(a) = 25*a**2. What is the remainder when z(-1) is divided by 7?
4
Let q = 33 + -17. Suppose -5*s = -a + 21, 0 = -2*a - 3*s + 71 + 36. Calculate the remainder when a is divided by q.
14
Suppose 5*o = o - 24. Suppose 0 = 6*j - 2*j - 36. What is the remainder when j is divided by 2*o*(-3)/12?
0
Suppose -k = -2*k + 9. Calculate the remainder when 1 + 18/(-24) - 67/(-4) is divided by k.
8
Suppose 8 = -4*f, -f = -h + 4*h - 343. What is the remainder when h is divided by 29?
28
Let v = -44 - -234. Let k = -112 + v. What is the remainder when k is divided by 20?
18
Let b(i) = -i + 1. Let f be b(-6). Suppose 3 = -t + f. What is the remainder when 10*2/(-6)*-3 is divided by t?
2
Suppose 88 - 8 = 5*b. Suppose 2*x + 10 = 3*x. Let y = b - x. What is the remainder when 11 is divided by y?
5
Let z(o) = 7*o + 21. What is the remainder when z(4) is divided by 10?
9
Let b = 19 + -11. Calculate the remainder when 10 + -5*(-8)/10 is divided by b.
6
Suppose t + 3 - 6 = -4*b, -4*t - b + 57 = 0. What is the remainder when 87 is divided by t?
12
Suppose 4*f + 4 = 3*w, -6*f - 4 = 4*w - 2*f. Let r be (-2 - w)/(-8)*4. What is the remainder when 9 is divided by (-1)/(r*1/(-5))?
4
Let c(n) = 2*n**3 + 2*n**2 - n - 4. Let v(l) = -3*l**3 - 5*l**2 + l + 8. Let r(t) = -5*c(t) - 3*v(t). What is the remainder when 10 is divided by r(5)?
4
Let s = 22 - 11. What is the remainder when 31 is divided by s?
9
Let k(m) = -14*m + 4. What is the remainder when k(-3) is divided by ((-1)/2)/((-3)/72)?
10
Suppose 3*w = 4*n + 34, 0 = -5*w - 0*w + 5*n + 65. Let h be (-2)/9 + 70/(-9). Calculate the remainder when w is divided by (-78)/h + 1/4.
8
Let o = 4 + 9. Calculate the remainder when o is divided by 7.
6
Let g = -48 + 68. Let o = g - -9. What is the remainder when o is divided by (10/3)/(2/6)?
9
Suppose -4*c = -7*c. Calculate the remainder when 56 is divided by (c + 0 + -19)/(-1).
18
Let z(t) = -t**2 + 11*t - 15. What is the remainder when 62 is divided by z(8)?
8
Let j(h) = -h**3 + 7*h**2 - 5*h + 1. Calculate the remainder when 41 is divided by j(2).
8
Let q = -20 - -38. Let d = 27 - -6. What is the remainder when d is divided by q?
15
Let h(r) = -r**3 - 5*r**2 + r + 6. Calculate the remainder when h(-6) is divided by 10.
6
Suppose 2*z - 90 = -3*z. Let h = 172 - 103. What is the remainder when h is divided by z?
15
Suppose -2*o - 9 = d, 11 + 9 = -4*d. Let x be (-24)/(o/(-2)) + 2. What is the remainder when (-2)/(-11) - 546/x is divided by 13?
12
Let t(b) = -b**3 + 4*b**2 + 5*b - 9. Let m = 62 - 21. What is the remainder when m is divided by t(4)?
8
Let b(k) = k**2 - 4*k - 4. Let v be (0 + 27*-3)*-1. Let f = -58 + v. What is the remainder when f is divided by b(6)?
7
Suppose -17*m + 168 = -393. Suppose 73 - 1 = 4*w. What is the remainder when m is divided by w?
15
Let y(o) = o**2 + 3*o + 19. Calculate the remainder when y(-6) is divided by 13.
11
Let y(w) = -w**3 - 6*w**2 - 6*w - 3. Let b be y(-5). Suppose -q + 16 = -4*k - 0, 3*k - 9 = 0. What is the remainder when q is divided by -1*(-3 + b) + 14?
13
Let c be (5 + -1)/(-12)*-15. Suppose 110 = 2*y + 4*r, -c*y - 5*r = -2*y - 162. What is the remainder when y is divided by 17?
15
Suppose -14*s + 1399 = -925. What is the remainder when s is divided by 13?
10
What is the remainder when 59 is divided by (-2)/(-5) - (-146)/10?
14
Suppose q + 2*f = -1, -2*q + 0*f - 5 = 5*f. Suppose -3*n - 33 = -2*c - c, q*n = 0. What is the remainder when 31 is divided by c?
9
Let g = 4 + 7. Let k = g - -5. Calculate the remainder when 31 is divided by k.
15
Let k be (-48)/4 + 4/2. What is the remainder when 22 is divided by 4/k - 84/(-10)?
6
Let q | {
"pile_set_name": "DM Mathematics"
} |
6432, 66515, 66600, 66687, 66776, 66867?
66960
What is the next term in -3519, -3509, -3489, -3459, -3419, -3369, -3309?
-3239
What comes next: -205, -144, -99, -76, -81, -120?
-199
What is the next term in 520, 521, 522?
523
What comes next: -50764, -50749, -50738, -50731?
-50728
What is next in 4373, 4362, 4323, 4244, 4113, 3918, 3647, 3288?
2829
What comes next: -60, -152, -276, -408, -524, -600?
-612
What is the next term in 94571, 189094, 283617?
378140
What is the next term in -9520017, -19040037, -28560059, -38080083, -47600109, -57120137?
-66640167
What is next in -5101, -10182, -15203, -20134, -24945, -29606?
-34087
What comes next: 2603, 5202, 7823, 10478, 13179, 15938, 18767?
21678
What is next in 109, 204, 295, 382, 465?
544
What is the next term in -62956, -62884, -62798, -62692, -62560, -62396?
-62194
What is next in -286739, -573480, -860235, -1147010, -1433811, -1720644, -2007515, -2294430?
-2581395
What comes next: -59, -129, -203, -287, -387?
-509
What is the next term in 88, 111, 134, 157, 180, 203?
226
What comes next: 4623, 9301, 13979, 18657?
23335
What is next in -1076841, -2153684, -3230527, -4307370, -5384213?
-6461056
What comes next: 5994, 12018, 18042, 24066, 30090?
36114
What comes next: 3498, 3528, 3558, 3588?
3618
What is next in -4418, -7394, -10370, -13346?
-16322
What is next in 3547, 3540, 3527, 3508, 3483?
3452
What comes next: 42322, 42365, 42436, 42535, 42662, 42817, 43000?
43211
What is the next term in -901, -3599, -8095, -14389, -22481, -32371, -44059?
-57545
What is next in -80923, -161864, -242805?
-323746
What comes next: 1823403, 1823404, 1823405, 1823406, 1823407?
1823408
What is the next term in -9962, -19888, -29814, -39740, -49666, -59592?
-69518
What comes next: -563, -192, 427, 1294?
2409
What comes next: 540, 757, 974, 1191, 1408, 1625?
1842
What is next in -2116, -4241, -6366, -8491, -10616?
-12741
What comes next: 16, -5, -36, -77, -128, -189, -260?
-341
What is the next term in 18, 17, 10, -9, -46?
-107
What is the next term in 230, 448, 668, 890, 1114, 1340?
1568
What is next in -853, -1698, -2517, -3304, -4053, -4758, -5413?
-6012
What is next in -68, -44, -20, 4, 28?
52
What is the next term in 385304, 770607, 1155910, 1541213, 1926516, 2311819?
2697122
What is next in -124637, -124642, -124647, -124652, -124657, -124662?
-124667
What is the next term in -46871, -93738, -140605, -187472, -234339?
-281206
What is the next term in 39947, 39948, 39949?
39950
What comes next: -199, 117, 433?
749
What is the next term in 189535, 189536, 189537?
189538
What comes next: 5376, 5333, 5290, 5247, 5204, 5161?
5118
What is next in -3213, -3247, -3305, -3387?
-3493
What is next in 528, 975, 2198, 4587, 8532, 14423?
22650
What is next in 2991879, 5983757, 8975635?
11967513
What is next in 338, 331, 326, 323, 322?
323
What comes next: -636, -566, -482, -378, -248, -86, 114?
358
What is next in 7301, 14602, 21901, 29198, 36493, 43786?
51077
What is next in 1135, 2281, 3447, 4639, 5863, 7125, 8431?
9787
What is the next term in -550, -519, -468, -397, -306?
-195
What comes next: 562281, 562283, 562285?
562287
What comes next: 419, 441, 465, 491, 519, 549?
581
What is next in 36006, 35993, 35978, 35961, 35942, 35921, 35898?
35873
What is next in 6967, 13951, 20949, 27961, 34987, 42027?
49081
What comes next: -2168613, -2168612, -2168611?
-2168610
What comes next: -8650, -17301, -25952, -34603, -43254?
-51905
What is next in -20604, -41201, -61796, -82389, -102980?
-123569
What is the next term in -60, -133, -216, -315, -436, -585, -768, -991?
-1260
What is the next term in -262, -176, -90, -4, 82, 168?
254
What comes next: -81, -314, -707, -1260, -1973, -2846, -3879?
-5072
What is next in -215, -910, -2075, -3710, -5815, -8390, -11435?
-14950
What is next in -8424, -8402, -8364, -8310, -8240, -8154?
-8052
What is next in -14530, -14528, -14526?
-14524
What comes next: -779, -3860, -9253, -16958, -26975?
-39304
What comes next: 1819, 7254, 16311, 28990, 45291?
65214
What is the next term in 155, 317, 501, 719, 983, 1305?
1697
What comes next: 5573, 11138, 16703, 22268?
27833
What comes next: -9450, -9437, -9422, -9405, -9386, -9365, -9342?
-9317
What is next in -3619, -3599, -3579, -3559, -3539, -3519?
-3499
What comes next: -654, -653, -664, -687?
-722
What is next in 5230810, 10461618, 15692424, 20923228, 26154030?
31384830
What comes next: 617, 4234, 13841, 32432, 63001, 108542, 172049, 256516?
364937
What comes next: -712, -947, -1338, -1885, -2588?
-3447
What is next in -64036, -128142, -192248, -256354, -320460?
-384566
What is next in -2360, -2395, -2458, -2555, -2692, -2875, -3110, -3403?
-3760
What comes next: -4844383, -4844386, -4844389?
-4844392
What comes next: -77392, -77396, -77400?
-77404
What is the next term in 1511, 6042, 13603, 24200, 37839, 54526, 74267, 97068?
122935
What is next in 29806, 29802, 29798, 29794, 29790?
29786
What is next in 1740, 3499, 5260, 7023, 8788?
10555
What is next in -432, -317, -120, 165, 544, 1023, 1608, 2305?
3120
What is next in 4019, 15607, 34921, 61961, 96727, 139219, 189437?
247381
What is the next term in -491, -1145, -1799, -2453?
-3107
What is next in -3094, -24695, -83318, -197473, -385670, -666419?
-1058230
What is the next term in 339, 1140, 2525, 4536, 7215, 10604?
14745
What is the next term in -95, -587, -1083, -1583, -2087?
-2595
What is next in -191055, -191057, -191059?
-191061
What is the next term in 92386, 92398, 92410, 92422, 92434?
92446
What is next in 40037, 80074, 120111, 160148?
200185
What is next in -1094, -2214, -3320, -4406, -5466?
-6494
What is next in -54854, -54886, -54932, -54998, -55090?
-55214
What is the next term in -6338346, -6338345, -6338344, -6338343, -6338342, -6338341?
-6338340
What is next in -79973, -159933, -239891, -319847, -399801, -479753, -559703?
-639651
What is the next term in 3401, 3445, 3547, 3731, 4021?
4441
What is next in -4804, -4801, -4798, -4795?
-4792
What is the next term in 691, 1389, 2099, 2821, 3555, 4301, 5059?
5829
What is the next term in 21429, 42859, 64289, 85719, 107149?
128579
What comes next: -2169886, -2169883, -2169878, -2169871?
-2169862
What is the next term in -21, 71, 265, 561, 959, 1459?
2061
What comes next: 191, 1278, 4237, 10004, 19515, 33706, 53513?
79872
What is next in 12575, 100575, 339421, 804533, 1571331?
2715235
What is the next term in -665530, -665534, -665538, -665542, -665546?
-665550
What comes next: -2301, -5213, -8731, -12855, -17585?
-22921
What is next in 1046, 969, 896, 827, 762, 701, 644?
591
What comes next: 208, 1970, 6742, 16030, 31340?
54178
What is the next term in -2665338, -2665337, -2665336?
-2665335
What is the next term in 1656235, 1656231, 1656227, 1656223, 1656219, 1656215?
1656211
What is the next term in -1405, -2835, -4265, -5695, -7125?
-8555
What is the next term in -184, -62, 60, 182, 304, 426?
548
What comes next: -5105, -10176, -15247?
-20318
What comes next: 9630, 19282, 28934, 38586, 48238?
57890
What is next in 648671, 648682, 648717, 648788, 648907, 649086, 649337, 649672?
650103
What is next in -71, -115, -143, -155, -151?
-131
What is next in 420, 391, 342, 267, 160, 15?
-174
What comes next: -303, -1144, -3423, -7860, -15175, -26088, -41319, -61588?
-87615
What is the next term in -777, -6132, -20677, -49008, -95721, -165412?
-262677
What comes next: 1286817, 1286816, 1286815, 1286814, 1286813?
1286812
What comes next: 200, 449, 706, 971, 1244, 1525, 1814?
2111
What is the next term in 32, 219, 506, 881, 1332?
1847
What is the next term in 61584, 61603, 61622, 61641?
61660
What is next in 176, 370, 566, 764, 964?
1166
What is the next term in -231, -1823, -6141, -14547, -28403, -49071, -77913, -116291?
-165567
What is the next term in 110, 961, 3294, 7859, 15406?
26685
What is the next term in 96, 371, 844, 1527, 2432, 3571, 4956, 6599?
8512
What comes next: 98758, 98759, 98760, 98761?
98762
What comes next: -155539, -311074, -466611, -622150, -777691?
-933234
What is the next term in 4128, 16434, 36936, 65628, 102504, 147558?
200784
What is the next term in -99, -252, -461, -726, -1047?
-1424
What comes next: -2365452, -2365453, -2365454, -2365455?
-2365456
What is the next term in 2323, 2318, 2301, 2266, 2207, 2118, 1993?
18 | {
"pile_set_name": "DM Mathematics"
} |
-352 divided by -22
16
Divide 0 by 297.
0
Divide 1 by -346.
-1/346
Divide 60 by -6.
-10
What is -2 divided by 1227?
-2/1227
What is -3219 divided by -1073?
3
What is 8496 divided by -2832?
-3
Calculate 10608 divided by -6.
-1768
Calculate 640 divided by 160.
4
Divide -145 by -6.
145/6
What is -132 divided by 3?
-44
5200 divided by -5
-1040
Calculate 546 divided by 14.
39
67 divided by 4
67/4
Divide -6 by 65.
-6/65
What is -15 divided by -52?
15/52
-21 divided by 3
-7
Divide 16702 by 7.
2386
What is 3 divided by 3?
1
What is 2 divided by 66?
1/33
What is -1052 divided by 1?
-1052
What is 85 divided by 29?
85/29
1530 divided by 51
30
Divide -33 by -3.
11
What is 582 divided by 2?
291
Divide 11 by 74.
11/74
Calculate -177 divided by 5.
-177/5
Divide -3 by -634.
3/634
Calculate -5 divided by 25.
-1/5
Calculate 7026 divided by -6.
-1171
-1355 divided by 5
-271
What is -8 divided by -106?
4/53
What is 534 divided by 267?
2
Calculate -390 divided by -4.
195/2
What is -87 divided by 1?
-87
Calculate 3276 divided by -28.
-117
Calculate -520 divided by -10.
52
-125 divided by 25
-5
Divide -4841 by -5.
4841/5
Divide -46524 by 6.
-7754
Calculate -24 divided by 8.
-3
Calculate 3 divided by 21.
1/7
Divide 845 by -169.
-5
-9048 divided by -3
3016
Calculate -3 divided by 458.
-3/458
Calculate 730 divided by 2.
365
Divide 120 by -12.
-10
What is 0 divided by 4?
0
Calculate 96 divided by -48.
-2
What is 5 divided by 147?
5/147
138 divided by 4
69/2
What is -8303 divided by 437?
-19
-5 divided by 212
-5/212
Divide 1780 by 5.
356
Calculate 2 divided by -28.
-1/14
-137 divided by 2
-137/2
231 divided by 3
77
-3000 divided by -40
75
Calculate -2 divided by 6514.
-1/3257
-35 divided by -88
35/88
0 divided by 494
0
Divide -528 by -6.
88
What is -14 divided by -239?
14/239
What is -690 divided by -23?
30
Calculate -1 divided by 702.
-1/702
What is 2 divided by 285?
2/285
Divide -2062 by -1031.
2
Calculate 488 divided by -4.
-122
Divide 4090 by -4.
-2045/2
Calculate 5 divided by 188.
5/188
Divide 35 by -6.
-35/6
-222 divided by -2
111
Divide 0 by 71.
0
Divide -100 by -155.
20/31
What is 0 divided by -167?
0
Divide -2497 by 1.
-2497
Calculate 0 divided by -429.
0
Calculate -236 divided by -8.
59/2
Divide -9540 by -1590.
6
-4596 divided by 4
-1149
28770 divided by -2
-14385
16555 divided by -11
-1505
Calculate -103 divided by 16.
-103/16
What is 166 divided by 83?
2
-443 divided by -1
443
What is 164 divided by 3?
164/3
Divide 12 by 1069.
12/1069
What is 2 divided by -129?
-2/129
Divide -16132 by 218.
-74
Calculate -70 divided by 35.
-2
Divide -6006 by 1.
-6006
-1560 divided by 78
-20
72 divided by 23
72/23
-29 divided by -1
29
Divide 5090 by -1018.
-5
Calculate 1890 divided by -54.
-35
Divide -7269 by -3.
2423
What is 5464 divided by 4?
1366
What is 6 divided by 15?
2/5
What is 25323 divided by -1101?
-23
Calculate 469 divided by 10.
469/10
Calculate -72 divided by -244.
18/61
What is -4 divided by 506?
-2/253
-76 divided by -4
19
What is 4 divided by 238?
2/119
What is 78 divided by -6?
-13
Calculate 957 divided by -6.
-319/2
Divide 1771 by -77.
-23
Divide -145 by 5.
-29
Divide -8766 by 3.
-2922
What is 0 divided by 26?
0
What is 615 divided by -3?
-205
Divide -1258 by -1258.
1
Calculate -40 divided by -8.
5
41 divided by -38
-41/38
Calculate 10857 divided by -5.
-10857/5
What is 69 divided by 23?
3
Calculate 600 divided by 4.
150
Divide 1 by 37.
1/37
What is -74 divided by -4?
37/2
Divide -711 by -1.
711
What is -3 divided by 70?
-3/70
What is -2 divided by -1993?
2/1993
88 divided by -230
-44/115
-64 divided by -4
16
Divide 3646 by -2.
-1823
Calculate -204 divided by 68.
-3
What is 0 divided by 1393?
0
Divide -5 by 81.
-5/81
Divide -2162 by -2.
1081
Calculate -3363 divided by -1121.
3
What is 3 divided by -18?
-1/6
-20 divided by 34
-10/17
-32008 divided by -2
16004
0 divided by 71
0
What is 471 divided by -1?
-471
Divide -21940 by -5.
4388
What is 12 divided by -506?
-6/253
Calculate 43 divided by -15.
-43/15
Divide -3332 by 98.
-34
Calculate -1624 divided by -4.
406
Calculate 3760 divided by 940.
4
Calculate -52 divided by 6.
-26/3
Divide -150 by -25.
6
What is 164 divided by -6?
-82/3
What is -6 divided by -49?
6/49
Calculate 2169 divided by 9.
241
-9 divided by -175
9/175
What is 5945 divided by -5?
-1189
What is 7358 divided by -4?
-3679/2
Calculate 53 divided by -29.
-53/29
-239 divided by -1
239
1680 divided by 80
21
Divide -15 by -9.
5/3
What is -81 divided by -4?
81/4
Calculate 916 divided by 4.
229
0 divided by 42
0
Calculate -7 divided by -1.
7
Divide -82 by 2.
-41
What is -33 divided by -29?
33/29
Divide -15128 by -8.
1891
29 divided by -29
-1
Divide 441 by 147.
3
314 divided by -3
-314/3
Divide -3 by -7.
3/7
Divide 5 by 15.
1/3
What is -72 divided by 405?
-8/45
Calculate 10714 divided by -2.
-5357
2 divided by 966
1/483
148 divided by -15
-148/15
Calculate -15 divided by 38.
-15/38
-448 divided by -4
112
Divide 0 by -236.
0
What is -492 divided by -18?
82/3
Calculate 80 divided by 80.
1
Divide -210 by -6.
35
Calculate 30 divided by 1.
30
Divide -3891 by -1297.
3
Calculate 3 divided by -210.
-1/70
Divide 3 by -474.
-1/158
Calculate 5 divided by 339.
5/339
Divide -4704 by -48.
98
Divide -3 by -45.
1/15
Divide -11 by -14.
11/14
Calculate 3150 divided by -1.
-3150
What is 19710 divided by 365?
54
Divide 5 by 377.
5/377
What is -14 divided by -209?
14/209
-9250 divided by -925
10
Calculate 160 divided by 7.
160/7
What is 2646 divided by -54?
-49
Calculate -3384 divided by 188.
-18
Calculate -13472 divided by 3368.
-4
Divide 66 by 51.
22/17
What is -35 divided by -20?
7/4
-2900 divided by 5
-580
What is 0 divided by -148?
0
Divide -147 by 16.
-147/16
What is 6292 divided by 2?
3146
Calculate -42 divided by -7.
6
Calculate -966 divided by -5.
966/5
Divide -47 by -9.
47/9
Divide 26 by -13.
-2
Calculate -746 divided by -2.
373
-2772 divided by -99
28
Calculate 1415 divided by -5.
-283
What is -26510 divided by 5?
-5302
Calculate -10737 divided by -6.
3579/2
3302 divided by 254
13
Calculate 8 divided by 32.
1/4
Divide -350 by 175.
-2
1 divided by -19
-1/19
What is 28500 divided by -5?
-5700
Divide -10726 by -1.
10726
What is 591 divided by 591?
1
Divide 312 by 1.
312
What is 58 divided by -2?
-29
Calculate 2 divided by -3917.
-2/3917
What is 230 divided by -2?
-115
Divide 5757 by -303.
-19
Divide 1080 by -5.
-216
Divide 108 by 4.
27
-96 divided by -12
8
-1345 divided by 19
-1345/19
Divide -120 by 5.
-24
-63 divided by -4
63/4
-315 divided by -63
5
Calculate 573 divided by -3.
-191
-257 divided by 5
-257/5
What is 582 divided by 6?
97
Divide -65 by -8.
65/8
What is -6 divided by 90?
-1/15
Calculate -12486 divided by -4.
6243/2
-291 divided by 5
-291/5
-126 divided by -4
63/2
Divide 116 by -4.
-29
What is 240 divided by 31?
240/31
Calculate 43972 divided by 2.
21986
22 divided by -442
-11/221
What is 482 divided by -1?
-482
Calculate 2 divided by -8.
-1/4
What is 3 divided by -32?
-3/32
Divide 5 by -32.
-5/32
Calculate 199 divided by -27.
-199/27
What is 6360 divided by 1590?
4
Divide 80 by 80.
1
Calculate 81 divided by 27.
3
-3 divided by -2445
1/815
8196 divided by -6
-1366
What is -99 divided by 99?
-1
Divide 297 by -3.
-99
What is 945 divided by 1?
945
156485 divided by 5
31297
10172 divided by -2543
-4
Divide -1200 by -48.
25
Calculate -1736 divided by -5.
1736/5
Divide -1185 by 237.
-5
Calculate -11 divided by -21.
11/21
Divide -50 by -346.
25/173
Calculate 1 divided by 2334.
1/2334
430 divided by -4
-215/2
What is -33 divided by 495?
-1/15
Calculate 655 divided by 4.
655/4
What is 720 divided by 36?
20
0 divided by 17
0
2 divided by 30
1/15
Calculate 1872 divided by 4.
468
Calculate 4173 divided by 1391.
3
-74 divided by 23
-74/23
Calculate -6 divided by 319.
-6/319
Divide 970 by -5.
-194
Divide 45 by 45.
1
Divide -16032 by -2004.
8
Calculate 17850 divided by 1190.
15
What is 155 divided by -5?
-31
Divide 5889 by -1963.
-3
-77 divided by -11
7
Divide 1 by -219.
-1/219
Divide -13044 by 3.
-4348
-2556 divided by 36
-71
Divide -722 by 19.
-38
-5 divided by -8027
5/8027
Divide 5 by -78.
-5/78
2 divided by -75
-2/75
-3424 divided by -856
4
What is -2080 divided by -20?
104
0 divided by -75
0
-64 divided by -4
16
235 divided by 9
235/9
Divide -168 by 56.
-3
D | {
"pile_set_name": "DM Mathematics"
} |
cking 3 q.
28/55
Three letters picked without replacement from ppllltpplplq. What is prob of picking 1 q and 2 t?
0
What is prob of picking 3 l when three letters picked without replacement from lllolooloooo?
1/22
Three letters picked without replacement from {z: 2, k: 7}. What is prob of picking 3 k?
5/12
Calculate prob of picking 1 s, 1 u, and 1 b when three letters picked without replacement from {b: 2, u: 2, t: 6, s: 1}.
4/165
Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {a: 2, q: 6}.
3/7
Calculate prob of picking 1 j and 2 z when three letters picked without replacement from zpppzpzzjpzzpz.
3/52
Two letters picked without replacement from kjkkjjj. What is prob of picking 2 k?
1/7
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {g: 3, n: 6, x: 2, j: 4}.
8/105
Calculate prob of picking 2 e when two letters picked without replacement from {p: 2, z: 3, e: 5}.
2/9
Four letters picked without replacement from dpepdbdbadbbepee. Give prob of picking 2 b, 1 p, and 1 a.
9/910
What is prob of picking 2 l when two letters picked without replacement from bbllllbl?
5/14
Two letters picked without replacement from {p: 2, t: 5, i: 1, j: 5, e: 1, z: 1}. What is prob of picking 1 i and 1 e?
1/105
Calculate prob of picking 1 l, 1 p, and 2 m when four letters picked without replacement from {f: 2, l: 6, m: 5, w: 1, p: 3}.
9/119
What is prob of picking 1 b, 1 h, and 1 p when three letters picked without replacement from {p: 2, r: 1, b: 1, h: 3}?
6/35
Calculate prob of picking 4 p when four letters picked without replacement from {p: 11, q: 3, w: 4}.
11/102
Two letters picked without replacement from egwwgggwwgwwgvgg. What is prob of picking 1 v and 1 w?
1/20
Two letters picked without replacement from nrnereernne. Give prob of picking 1 n and 1 r.
12/55
Calculate prob of picking 2 k when two letters picked without replacement from {b: 4, e: 3, k: 2, t: 1, c: 1}.
1/55
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 1, r: 3, p: 3}.
1/7
What is prob of picking 1 a, 1 m, and 1 n when three letters picked without replacement from yykymaakmayanm?
3/91
What is prob of picking 1 o, 1 x, 1 y, and 1 m when four letters picked without replacement from {l: 3, y: 5, m: 1, o: 3, v: 2, x: 1}?
1/91
What is prob of picking 2 n when two letters picked without replacement from {c: 2, h: 1, x: 1, r: 1, n: 2, g: 2}?
1/36
Two letters picked without replacement from pqmmmmpmpmqmmxpmxp. What is prob of picking 2 q?
1/153
Calculate prob of picking 2 r when two letters picked without replacement from {n: 9, r: 2}.
1/55
Three letters picked without replacement from {t: 1, d: 1, a: 2, f: 1}. What is prob of picking 1 d, 1 a, and 1 f?
1/5
Two letters picked without replacement from {i: 9, y: 3}. Give prob of picking 1 y and 1 i.
9/22
Two letters picked without replacement from {n: 4, e: 2, u: 3, r: 9}. Give prob of picking 1 r and 1 e.
2/17
Calculate prob of picking 4 i when four letters picked without replacement from {i: 4}.
1
Three letters picked without replacement from dzdddzzdzzzzzdzd. Give prob of picking 3 d.
1/16
Two letters picked without replacement from ieeeei. Give prob of picking 2 i.
1/15
What is prob of picking 2 u when two letters picked without replacement from wuuwwuwuwwuw?
5/33
What is prob of picking 1 w and 2 a when three letters picked without replacement from wafbaab?
3/35
Two letters picked without replacement from lssl. What is prob of picking 1 s and 1 l?
2/3
Three letters picked without replacement from ccaxcbbcrlcrrxlcrall. Give prob of picking 1 a and 2 b.
1/570
Four letters picked without replacement from amcll. What is prob of picking 1 a, 2 l, and 1 c?
1/5
Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {p: 1, g: 1, l: 2, u: 3, j: 3, w: 2}.
3/220
Two letters picked without replacement from zyzzyyyzyyyzyzzy. Give prob of picking 2 z.
7/40
Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, x: 2}.
1/15
What is prob of picking 2 e when two letters picked without replacement from {e: 7, t: 4}?
21/55
Three letters picked without replacement from {a: 3, j: 9, e: 2, i: 2}. Give prob of picking 1 j and 2 i.
9/560
Calculate prob of picking 2 t and 2 q when four letters picked without replacement from tqqqqqqtq.
1/6
Calculate prob of picking 2 z when two letters picked without replacement from {b: 3, z: 6, f: 1, t: 4, a: 2}.
1/8
Calculate prob of picking 2 z when two letters picked without replacement from {u: 1, z: 4, v: 3, l: 2}.
2/15
Three letters picked without replacement from wovcvcvntntv. Give prob of picking 1 c, 1 n, and 1 v.
4/55
Calculate prob of picking 1 b, 1 u, and 2 j when four letters picked without replacement from {u: 5, j: 7, x: 3, b: 1}.
3/52
Two letters picked without replacement from ccrcrcrccrcccc. What is prob of picking 2 c?
45/91
Calculate prob of picking 1 u, 1 t, and 1 y when three letters picked without replacement from ytyyuutyytyyyuut.
8/35
Calculate prob of picking 2 w when two letters picked without replacement from ccwccccccccwcwc.
1/35
Two letters picked without replacement from zzztkszztt. Give prob of picking 1 z and 1 t.
1/3
What is prob of picking 3 j when three letters picked without replacement from {j: 7, d: 5}?
7/44
Three letters picked without replacement from {b: 3, d: 7, a: 3}. Give prob of picking 2 d and 1 a.
63/286
What is prob of picking 2 s and 2 n when four letters picked without replacement from {s: 3, n: 5}?
3/7
What is prob of picking 2 k when two letters picked without replacement from {k: 10, s: 2}?
15/22
Four letters picked without replacement from {c: 5, e: 2, v: 1, a: 2, h: 4}. Give prob of picking 4 c.
5/1001
Three letters picked without replacement from jjjxxemxjvvvmej. What is prob of picking 1 e and 2 v?
6/455
Four letters picked without replacement from {a: 2, h: 7, g: 3}. What is prob of picking 3 g and 1 h?
7/495
What is prob of picking 1 l and 3 h when four letters picked without replacement from lttuhhtuhtqt?
1/495
Two letters picked without replacement from {t: 2, v: 2, j: 4, y: 1}. Give prob of picking 2 j.
1/6
Two letters picked without replacement from {a: 3, k: 7}. What is prob of picking 2 k?
7/15
Two letters picked without replacement from jljlq. What is prob of picking 1 q and 1 l?
1/5
Calculate prob of picking 2 f and 1 c when three letters picked without replacement from {f: 2, i: 5, g: 1, c: 5, v: 2, s: 2}.
1/136
What is prob of picking 1 p, 1 w, and 1 x when three letters picked without replacement from {p: 2, x: 12, v: 4, w: 2}?
4/95
Three letters picked without replacement from tccdcuknuktt. What is prob of picking 1 u, 1 n, and 1 k?
1/55
What is prob of picking 1 d and 2 b when three letters picked without replacement from bbbdbbbbdbbd?
27/55
Two letters picked without replacement from {i: 8, d: 3, j: 5}. Give prob of picking 2 d.
1/40
What is prob of picking 3 o when three letters picked without replacement from {o: 14, y: 1, h: 1}?
13/20
Calculate prob of picking 2 b when two letters picked without replacement from ssbssssssbsssssssb.
1/51
Calculate prob of picking 2 a when two letters picked without replacement from dddada.
1/15
Two letters picked without replacement from mqqqqzqsqqtqqqq. Give prob of picking 1 m and 1 q.
11/105
Three letters picked without replacement from uujjuouourmoumo. Give prob of picking 2 j and 1 u.
6/455
Calculate prob of picking 3 m and 1 s when four letters picked without replacement from uuruurmrsrrrmmuuuurm.
4/4845
Two letters picked without replacement from rrffrfrfrrfrrfw. Give prob of picking 1 w and 1 r.
8/105
Calculate prob of picking 1 g, 1 e, and 1 n when three letters picked without replacement from knpkeeeeepegkpeeeekk.
1/114
Two letters picked without replacement from {e: 6, h: 1, s: 2, n: 1, r: 5}. Give prob of picking 1 e and 1 s.
4/35
Three letters picked without replacement from fpfokgofopfpnp. Give prob of picking 2 f and 1 p.
6/91
Three letters picked without replacement from nnrys. What is prob of picking 2 n and 1 r?
1/10
Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 7}.
1/4
What i | {
"pile_set_name": "DM Mathematics"
} |
e 2*k + 162 = -3*x - k, -5*k - 221 = 4*x. Let u = -77 - x. Let s be (4 - 0)*77/u. Sort 4, s, -1.
s, -1, 4
Let h(f) = -f**3 - 4*f**2 - 5*f - 4. Let b be h(-3). Let y be -2 + 13 + 4 + -10 + 0. Put -4, y, b, 3 in descending order.
y, 3, b, -4
Let l(y) = -2*y**2 - 6*y + 1. Let r be l(-3). Let q be 1 + -1 + (-8 - r) + 8. Suppose g = 5*g + 8. Sort q, g, 2.
g, q, 2
Suppose 3*n - 39 = -27*r, -r + 27*n - 32*n + 65 = 0. Suppose 3*q - 108 = -q. Put r, q, 4 in descending order.
q, 4, r
Suppose 12*r = -6*r + 18. Let s be (-74)/(-18) + (-40)/36 + r. Sort -4, 12, 3, s.
-4, 3, s, 12
Let v = 0.29 - 0.3. Let q = -0.06592 - 0.43408. Sort -3, v, 0, q in decreasing order.
0, v, q, -3
Let j = -64 + 64. Let o = 15 + j. Suppose -16*w = -11*w + o. Sort 1, -5, w in ascending order.
-5, w, 1
Let p(y) = y**2 - 5*y - 1. Let c be p(4). Let o be (-80)/(-100)*(-470)/(-4). Suppose 28*m - o = -38. Sort 7, c, m, 5 in decreasing order.
7, 5, m, c
Suppose -a - 3*m = -4, 32*a - 27*a + 28 = m. Sort -9, -2, 2, a, 7 in decreasing order.
7, 2, -2, a, -9
Let n = -296.464 - -262.2. Let y = n - -33.7. Let q = y - -0.064. Sort 7, 2, -2, q in descending order.
7, 2, q, -2
Let p = 25.59 + 836.41. Put -3, 1, p, 4 in descending order.
p, 4, 1, -3
Let q = -632409 + 1009324937/1596. Let p = q + -1/76. Let j = 275 - 5501/20. Sort 2/5, j, p in decreasing order.
2/5, p, j
Let i be (-2193)/(-3213) + (-4)/(-42)*-6. Let c = -303/5 - -61. Sort c, i, -1/2 in increasing order.
-1/2, i, c
Let y = -202 + 208. Let r(q) = -2*q**2 + 26*q - 83. Let m be r(y). Sort 169, 4, m.
m, 4, 169
Let m = 1.3028 + 12.6972. Sort m, 0.5, -2, -18, -0.2 in descending order.
m, 0.5, -0.2, -2, -18
Suppose 2*l + 3*l - 100 = 0. Let d = -1315 - -1323. Let u be 2*(-28)/d - (0 - 6). Sort 0, l, u.
u, 0, l
Let q = -1/9740 + 2437/19480. Sort 5, q, 4, -2/43, 1 in descending order.
5, 4, 1, q, -2/43
Let a(l) = -l**3 + 17*l**2 - l + 17. Let r be a(17). Suppose 2*y + k + 0*k - 32 = r, 3*y + k = 49. Suppose -5*o = 10, -b + y = -3*o - 2*o. Sort -5, 3, b.
-5, 3, b
Let n = 0.03 + -0.02. Let p = n + -0.31. Let u = 4 + 0. Put u, p, -0.4 in descending order.
u, p, -0.4
Suppose 36*k + 189 = 549. Put 5, 0, k, -7 in decreasing order.
k, 5, 0, -7
Let p(w) = -2*w**3 - 110*w**2 + 105*w - 93. Let i be p(-56). Put 0, -4, -3, i in ascending order.
-4, -3, 0, i
Let d(v) = v**3 - 71*v**2 + 207*v - 204. Let l be d(68). Sort -48, 1/3, l in increasing order.
-48, l, 1/3
Let p be (-268)/(-10) - 210/(-175). Let t = 152 - 155. Sort t, p, -9 in descending order.
p, t, -9
Suppose 108 = 52*i - 204. Let c be (-2)/13 + (-756)/(-182). Let j = 8 + -6. Put i, j, c in descending order.
i, c, j
Let a(b) = -b + 11. Let i be a(16). Let m = -0.3825 + 0.5825. Put m, i, -5/4, -3 in increasing order.
i, -3, -5/4, m
Let i = -11803 - -11802. Sort -2/15, -5, -14, i in ascending order.
-14, -5, i, -2/15
Let p = -832 + 245. Let q = -586.96 - p. Put 4, 1/5, q in ascending order.
q, 1/5, 4
Let b = -8235 + 8238. Put -1, -3, b, -6 in decreasing order.
b, -1, -3, -6
Let r be 1/(-3*5/15). Let i(b) = b**3 + 25*b**2 + 66*b - 4. Let v be i(-22). Sort v, r, -13 in decreasing order.
r, v, -13
Let x be 1/(-1)*42/18*3. Let w(l) = -l**3 - 6*l**2 + 3*l - 22. Let g be w(x). Sort 4, 5, g in decreasing order.
g, 5, 4
Let y be 192/90 + (-8)/6. Let p = 23 - 16. Let v = p - 5. Sort v, y, 1, 3 in ascending order.
y, 1, v, 3
Suppose 5*y + 3 = -4*s, -5*s + 14*y = 19*y. Put 3/7, s, -0.02, 11/3 in decreasing order.
11/3, s, 3/7, -0.02
Suppose -q - 7 = 3*b - 0*b, -2*q - 10 = 2*b. Suppose 3*t - 108 = m - 865, 1516 = 2*m - 5*t. Let c = m + -761. Sort b, 1, 3, c in descending order.
3, c, 1, b
Let u(b) = -b**2 - 9*b - 4. Let o be u(12). Let c = -229 - o. Put c, -3, 5, -2 in decreasing order.
c, 5, -2, -3
Let b = 3505.19 + -3507. Sort -5, b, -0.03 in ascending order.
-5, b, -0.03
Let k(v) be the second derivative of -v**5/10 + 3*v**4/2 - 17*v**3/6 + 9*v**2/2 + 54*v. Let p be k(8). Suppose 45 = r - 6*r. Sort p, r, -5.
r, -5, p
Let u(q) = 38*q + 1371. Let s be u(-36). Sort -116, s, 2 in increasing order.
-116, 2, s
Let v = -5 + 6. Let a be 4/3*(v + -4). Let u(g) = 6*g**2 - 249*g + 123. Let r be u(41). Put -5, r, a in descending order.
r, a, -5
Suppose 8 = -f + 3. Suppose -10 = 2*x - 6*x + 2*g, -5*g + 11 = 2*x. Let r = 280 - 283. Put x, 28, r, f in decreasing order.
28, x, r, f
Suppose -25 = 5*v + 4*s, 22*v - 23*v - s - 5 = 0. Let i = 8 - 0. Let u be (2 - 4) + 18/8. Put u, i, v in increasing order.
v, u, i
Let i be (-1053)/(-15) + 25/(-125). Suppose i = 17*d - 15. Sort -2, -5, 38, d in increasing order.
-5, -2, d, 38
Suppose -6 - 9 = 3*b. Let d = 124.2 + -125.2. Sort -2/17, b, d in ascending order.
b, d, -2/17
Suppose 5*h + 12 + 13 = 0. Let j = -766 + 763. Put 3, h, -2/7, j in increasing order.
h, j, -2/7, 3
Let w = -4.29 + 4.672. Let z = w - 40.182. Let h = 40 + z. Put 4, h, 3 in descending order.
4, 3, h
Let j(f) = 236*f - 476. Let v be j(2). Suppose 0 = 3*k - 2 - 4. Let u = 36 - 33. Put -5, u, k, v in increasing order.
-5, v, k, u
Let p = 5722 - 5723. Sort -31, -1/3, 1, p, -2/11 in descending order.
1, -2/11, -1/3, p, -31
Let p = -1557 - -1554. Let w(x) = -x - 17. Let d be w(-21). Sort -2, d, p, -30 in descending order.
d, -2, p, -30
Let q = 8 - 10. Suppose 0 = -86*x + 128*x. Sort -10, x, q in descending order.
x, q, -10
Let o = 47152 - 47136. Put o, 7, 9, 5 in ascending order.
5, 7, 9, o
Let x = 24622 + -24716. Put -0.4, x, -3, -1, 0.08 in increasing order.
x, -3, -1, -0.4, 0.08
Let z = 339.6 + -339.6. Sort -0.2, 0.1, -8, z in decreasing order.
0.1, z, -0.2, -8
Let t(d) = -d**2 + 3*d - 4. Let u be t(3). Suppose 13*c - 2*j - 14 = 8*c, -4*c = 5*j + 2. Put u, -2, -5, c in decreasing order.
c, -2, u, -5
Let x(q) = q**2 + 8*q + 7. Let c be x(-7). Let f(d) = d**2 - 8*d - 61. Let v be f(13). Sort 1, c, v, 46 in descending order.
46, v, 1, c
Let m be -91*(-12)/420 - (110/(-25) + 4). Suppose -23 = -3*i - g, -i - 2*i + 39 = -3*g. Put -2, m, i in descending order.
i, m, -2
Let q = 4881 - 4880.94. Put 0.5, q, -6, -0.3 in descending order.
0.5, q, -0.3, -6
Let o(z) = -z**3 - 7*z**2 + 3. Let t be o(-7). Let i be (-451)/(-82)*(-20)/(-55). Let v = -8 + 6. Sort -1, v, t, i in increasing order.
v, -1, i, t
Let k = -1873 - -1873.5. Let y = 17.4 + -17. Sort -2/301, y, k in decreasing order.
k, y, -2/301
Let g = 163/9 + -160/9. Let z be ((-8)/(-6))/(8/4). Put 0, -1/5, z, g in increasing order.
-1/5, 0, g, z
Suppose -112*l - 10 - 10 + 20 = 0. Sort 4114, l, -2.
-2, l, 4114
Let d(n) = -n**3 - 36*n**2 - 255*n + 46. Let z be d(-10). Put 4, 249, z in decreasing order.
249, 4, z
Let g be -1*(-15 + 2) + -4. Suppose 0 = 49*r - 52*r - g. Put 10, r, -4 in ascending order.
-4, r, 10
Let m(v) = v**2 - v - 1. Let k be m(0). Let n = 38 - 41. Suppose 0 = 2*z - 5*r + 28, -4*r - 28 = 3*z - 8*r. Sort 1, z, n, k.
z, n, k, 1
Suppose 2*o - 36 + 8 = -2*f, 0 = o + 2*f - 12. Suppose -o*p = -18*p - 2. Let u be -3 - -1 - (-12)/(-6). Sort 0, u, p in decreasing order.
0, p, u
Let h = -310 - -271.2. Let a = 39 + h. Let u = 38.3 + -3.3. Sort a, u, -3.
-3, a, u
Let t = -5 - 26. Let r = t - -53.7. Let g = -23 + r. Sort -0.4, g, 0, -16 in decreasing order.
0, g, -0.4, -16
Let r = -169 - -96. Let v = r - -74. Sort v, -11, 2/7.
-11, 2/7, v
Let d = -683/8 + 2041/24. Sort d, 1/321, 5 in ascending order.
d, 1/321, 5
Suppose 3*q = -2*l + 36, 2*q - 3*l - 24 = 2*l. Let h be (-28)/(8/q + -2). Put 1, 5, h in ascending order.
1, 5, h
Let l = 7864 - 7864. Put 0.4, -112, l, 3 in descending order.
3, 0.4, l, -112
Suppose 4*j + 12 = 5*o + 10, 7*j = 4*o - 32. Put -2, j, 5, -3, -14 in decreasing order.
5, -2, -3, j, -14
Let r = -281 + 380.5. Let p = -93 + r. Let a = -4.5 + p. Put 0, a, 0.09 in ascending order.
0, 0.09, a
Suppose 2 = 6*l - 16. Suppose 6 = -3*h - l*h. Put 0, -3, h, -2 in increasing order.
-3, -2, h, 0
Let i = -330/7 - -327/7. Let f = 155 + -155.28. Put 5, -4/3, f, i in decreasing order.
5, f, i, -4/3
Let w be ((-294)/(-27) + -11)*9. Sort -5, w, -4, -30, 4 in decreasing order.
4, w, -4, -5, -30
Suppose 7018 = -146*b + 2638. Sort 0, -8, b in descending order.
0, -8, b
Suppose 45*l - 27*l - 18 = 0. Let r(b) = -b**3 + 2*b**2 - b - 3. Let h be r(0). Sort h, 5, l in decreasing order.
5, l, h
Let r(v) = -v**2 + 2. Let z be r(0). Let m = 149 - 148.9. Let h = 213.95 - 214. | {
"pile_set_name": "DM Mathematics"
} |
2*y**2 + y - 1 + 10*y**2 in the form g*y**2 + k*y + o and give k.
-1
Express 36*l - l + 32*l + 1 - 6*l in the form s*l + j and give s.
61
Rearrange -77*p - 74*p + 9 + p**2 + p**2 + 160*p to the form r + b*p + k*p**2 and give r.
9
Express (-2*s + s - 3*s + (-1 + s + 1)*(-1 + 1 - 1))*(-2*s + 52*s + 14*s) in the form w*s**2 + k*s + m and give w.
-320
Rearrange -11*k - 8*k**3 + 11*k + (3*k - 2*k + 0*k)*(k - k + 2*k**2) + 316*k + 16*k**3 - 316*k to p*k**2 + w*k + t*k**3 + g and give t.
10
Express (r**3 + 5*r**3 - 5*r**3)*(r - 3*r + r) + 258*r**4 - 89*r**4 + 45*r**4 + 2*r**4 - 3*r + 3*r as s*r**3 + o*r + d*r**4 + h*r**2 + k and give d.
215
Express -168*q**2 + 224*q**2 + 3 - 3 - 159*q**2 as w*q + c + t*q**2 and give t.
-103
Express -1646 + 10*d**4 + 1646 + (-10*d + 10*d - 6*d**2)*(-2*d + d**2 + 2*d) in the form n*d**2 + w*d**4 + c + k*d + z*d**3 and give w.
4
Rearrange (0 + 19 + 0)*(0*i + 5*i - 3*i)*(-9*i**2 + 21*i**2 - 10*i**2 - 6*i + (i - 3 + 3)*(i + 2*i - 4*i)) to the form n*i**3 + g*i**2 + v + m*i and give g.
-228
Express (-67 + 362 + 335 + 69 - 47)*(-v + v - v) as k + o*v and give k.
0
Express -7*f**2 + 22*f**2 - 2*f - 38 - 16*f**2 as m*f**2 + o*f + l and give o.
-2
Express -25*s + s**2 + 0*s**2 + 12*s - 3*s**3 as i*s**2 + o + x*s + d*s**3 and give i.
1
Express (148*f - 143*f + 215*f)*(2*f**2 + 2*f**2 - 2*f**2) + f**2 - f**2 + f**3 in the form d*f**3 + c + m*f + g*f**2 and give d.
441
Express (-2*k + 5*k + k)*(-5*k + 0*k - 3*k) + k**2 - 3*k**2 + 0*k**2 + 0*k**2 - 4*k**2 + 0*k**2 in the form x + w*k**2 + b*k and give w.
-38
Rearrange -140*y + 356*y - 9*y**2 + 10*y**2 to f*y + t*y**2 + a and give a.
0
Express -22*c**3 - 28*c**2 + 28*c**3 - 7*c**3 as h + b*c**2 + g*c**3 + z*c and give b.
-28
Express (3 - 2 + 0 + (1 + 0 - 2)*(1 + 0 + 1) - 2 - 2 + 2 + 4 + 2 + 1 - 1 - 2 + 5 + (-1 + 2 - 3)*(2 - 1 - 3))*(-1 + 1 - 3*f) as d + x*f and give d.
0
Express 22*t**2 - 438*t + 701*t**2 + 438*t in the form b*t**2 + s + k*t and give b.
723
Express 12*x - 8 - 24*x + 15*x - 6 - 3*x + 6 + (-5*x + 5 - 5)*(-2 - 1 + 4) as a*x + l and give a.
-5
Express -18*r - 4 + 5*r**3 + 2*r**2 + 16*r + 4 in the form t + a*r + m*r**3 + x*r**2 and give m.
5
Rearrange -27*q**2 + 5 - 11 - 12*q**3 + 0 + 6 to the form f*q + h + l*q**2 + c*q**3 and give c.
-12
Express 7 + 6 - 2 - 12 + 2 - 10*b as a + m*b and give a.
1
Express (-1 + 0 + 0)*(-3*y + 1017*y**2 - 1030*y**2 - y) in the form w*y + v*y**2 + u and give w.
4
Express 1135*p + 1137*p + 26 - 2268*p in the form o*p + f and give o.
4
Express (-1663 + 858 - 5*r + 876)*(3*r + r - 3*r) as y*r**2 + z*r + s and give y.
-5
Rearrange -4 + 3 - 56*k**2 + 2*k**2 + 11*k**4 to l*k**2 + a + r*k**4 + m*k**3 + h*k and give a.
-1
Express -h**4 - 474*h + 479*h + 2*h**3 + 2 + 4*h**4 - 2*h**2 in the form n*h**4 + g + u*h**3 + s*h + w*h**2 and give n.
3
Express (-7 - x + 7 + (-2*x + 0*x + x)*(-2 + 6 - 3) + (-1 + 2*x + 1)*(-2 + 2 + 3))*(4*x**3 + x**3 + 0*x**3) as v + u*x + c*x**2 + y*x**3 + j*x**4 and give j.
20
Rearrange -34*x**3 + 17*x**3 - 2*x - 23*x**3 - 30*x**3 + 4*x**2 to the form z*x**2 + j*x**3 + t + s*x and give j.
-70
Express (2 - 4 + 3)*((-4 + 7 + 1)*(-2*r + 2 - 2) - r + 3*r - r + (2*r - 4*r + r)*(2 - 1 - 3) + 2 - 2 + r + 2*r + 2 - 2) as i*r + g and give i.
-2
Rearrange (18 - 17 - 23)*(-p + 2*p - 3*p)*(-1 - 1 + 4 - 3 + 6 - 1 + 1 + 0 + 1 + (-2 + 2 + 1)*(-1 + 0 + 0) - 3 + 0 + 1) to l*p + t and give l.
132
Rearrange (-13*j**2 + 0*j - 4*j + 2*j)*(29 + 89*j + 91*j - 179*j) to w*j**2 + s*j + n + r*j**3 and give w.
-379
Rearrange 0 - 89*n + 228*n + 0 to the form j + m*n and give m.
139
Express (-2*i**2 + 0*i**2 + 3*i - 2*i)*(181*i + 226*i - 133*i) as x*i**2 + o + m*i + t*i**3 and give x.
274
Rearrange (0*d - d - d)*(0 + 1 + 0)*(-1 - 3 + 1)*(0 - 3 - 2)*(d - 6*d + 3*d)*(2*d**2 + 0*d**2 - 5*d**2) to w*d**4 + b*d + r + u*d**2 + j*d**3 and give r.
0
Rearrange 0 - 128*y**2 - 3 + 59*y**2 - 3 - y to the form r*y + d*y**2 + o and give r.
-1
Express 4*b**2 - 2*b**2 + 0*b**2 + (-b + 2*b + b)*(-20 - 12*b + 20) - b**2 + 2*b**2 + 0*b**2 in the form u*b**2 + x*b + i and give u.
-21
Express -o**2 - 2*o**4 + 2*o**2 - 4*o**2 + o**2 + 4*o**4 - 3 + 10*o**3 as z + m*o**4 + x*o**3 + q*o**2 + k*o and give m.
2
Express -2*h**3 + h**4 + 0 + 1 + 7*h**2 - 8*h**2 - 473*h + 482*h as d + p*h**4 + r*h**2 + i*h + x*h**3 and give r.
-1
Express (-2*j**2 + j**3 - 1 + 1)*(0*j + 2*j + 0*j)*(3 - 30 - 19) in the form k*j**3 + a*j**4 + i*j + h*j**2 + f and give k.
184
Express 8*m**3 + 9*m**3 - 12*m**3 - 3*m**3 - m**2 as q*m + c + z*m**2 + v*m**3 and give q.
0
Express 23048 - 23048 - 135*i**2 as u*i + m*i**2 + t and give m.
-135
Rearrange -k**2 - 5 + 2 + 3*k**3 + 0 + 1 to the form a + j*k**2 + i*k + c*k**3 and give j.
-1
Rearrange (-3*g**3 + 2*g**3 + 2*g**3)*(31 + 364 + 271 - 114) to d*g + k + n*g**3 + y*g**2 and give n.
552
Express -2*n**4 + 16*n - 16155*n**3 + 6*n**4 + 16157*n**3 in the form i + t*n**4 + u*n + j*n**3 + h*n**2 and give h.
0
Rearrange 10*u + 7*u**3 + 2*u**2 + 17*u - 7 - 28*u to the form l*u**2 + c*u + r*u**3 + o and give l.
2
Express (7*k**2 + 0*k**2 + 9*k**2)*(46 - 28 - 1)*(0 + 0 + 2*k) as s*k**3 + r*k**2 + y + h*k and give s.
544
Rearrange 5 - 8 + 3 + 2*b - 237*b**2 - b to the form x*b**2 + g*b + q and give x.
-237
Rearrange (11*q + 8*q**2 - 11*q)*(-135*q - 325*q - 135*q) to l*q**3 + u*q + w*q**2 + g and give l.
-4760
Express (4*p + 2 - 6*p + 8*p)*(68*p + 36*p + 14*p)*(-p + 6*p - 4*p) as m*p**3 + t*p**2 + g*p + k and give t.
236
Express -30*w - 59*w - 9*w + w as o + p*w and give p.
-97
Rearrange 3896*p - 784*p**2 - 3896*p to the form q + a*p + y*p**2 and give y.
-784
Express (15 - 49 - 3)*(-15*m - 27*m - 46*m) as x*m + s and give x.
3256
Express 22197 - 22178 - 3*h**2 + h**2 as v*h + w + p*h**2 and give p.
-2
Express -6*m - 4*m + 10 + 18*m**4 + 12*m - 24*m**4 + 13*m**4 as x*m**3 + i*m**4 + y*m + z + g*m**2 and give i.
7
Express (1 - 1 - 2)*(-4*g + g + g) + 35*g - 8*g - 16*g + (3*g + 2*g - 4*g)*(0 + 3 - 1) + 4*g - 3*g + g + 3*g - 4*g + 3*g in the form l + f*g and give f.
21
Rearrange (-40*x**3 - 12*x - 5*x + 41*x**3)*(2 - 4 - 1) to j*x**2 + d*x + i + f*x**3 and give d.
51
Rearrange 329*d + 342*d + 161*d + 942*d to o*d + i and give o.
1774
Express 68 + 8*s**4 - 5*s**4 + 54 + (-s - s**2 + s)*(-s**2 + s**2 + s**2) as o*s**4 + w*s + z*s**3 + x*s**2 + q and give o.
2
Rearrange j - 1507*j**3 + 1543*j**3 - 5*j**4 + 0*j**4 to the form a + h*j**4 + u*j + c*j**3 + w*j**2 and give c.
36
Rearrange (-4 - 1 + 11 + (-2 - 4 + 2)*(6 - 2 + 0) + 2 - 4 + 1)*(-o + o + 2*o) to the form p + m*o and give m.
-22
Rearrange 3*m**3 - m**3 - m + 8 + 7*m**3 + 6*m**3 to the form n*m**3 + y*m + p*m**2 + k and give k.
8
Express 136*s + 508*s - 52*s + 268*s as i*s + k and give i.
860
Rearrange (0*c + 0*c - 4*c)*(18 - 5*c - 18) + (-1 - 2*c + 1)*(-1 + 1 - 4*c) to the form j*c + b + r*c**2 and give r.
28
Rearrange 251 + b**2 + 4*b**4 - b - 300 - 2*b**4 - 2*b**3 to f + u*b + g*b**3 + k*b**4 + p*b**2 and give g.
-2
Rearrange 35*g**2 + 5*g - 5*g + 4*g - 2*g**3 to the form u*g**2 + d*g + p*g**3 + q and give u.
35
Rearrange -114*f**2 - 5*f + 9 - 8 + 4*f + 2*f to the form o + k*f + r*f**2 and give o.
1
Rearrange (-86 - 810 - 194 - 178)*(2*l**4 - 2*l**4 + l**4) to the form c*l**2 + p + q*l + h*l**3 + n*l**4 and give n.
-1268
Rearrange 33*k - 21*k + 100*k - 1 + 1 - 2*k + 0*k + k + k + (-3*k - 2*k + 4*k)*(1 + 1 - 4) + k - 3*k + 4*k to the form h*k + r and give h.
116
Rearrange -51*f**3 + 95*f + f**4 - 1 + 255*f**3 - 95*f to the form w*f**2 + q + x*f + a*f**4 + v*f**3 and give a.
1
Express (-14*z**2 - 10*z**2 + 9*z**2)*(85*z**2 + 0 + 0 + 3*z**2) as x*z**4 + r*z + o*z**3 + h*z**2 + k and give x.
-1320
Rearrange ((1 + 1 + 1)*(21 + 35 - 9) + 2 - 4 + 1)*(-3 + 2 - 1)*(2*x + 0*x - x) to the form y*x + r and give y.
-280
Express -2*y**2 - 229*y - 2*y**4 + 117*y + 0*y**2 - 20 - 3*y**3 + 112*y as a + r*y**3 + q*y**4 + f*y + d*y**2 and give a.
-20
Express -1 + 6*y**3 + 9*y**4 - 11*y**4 + 31*y**2 - 15*y**2 as m*y**4 + o*y**2 + a + w*y + f*y**3 and give m.
-2
Express -3 - 366*h + 0 - h**2 + 362*h in the form q*h**2 + k + i*h and give q.
-1
Express -5*d**3 + 0 + 0 + (0 + 0 - 1)*(2*d**3 + 22*d**3 - 5 + 11*d**3) as b*d**3 + f + k*d**2 + u*d and give f.
5
Express -24*w**2 + 192*w**2 + 7*w**2 - w - 2*w**2 + w + (-1 + 1 - w)*(4*w - w - | {
"pile_set_name": "DM Mathematics"
} |
5. Let x = -700 + m. Let l = -539/3 - -11011/60. What is the common denominator of x and l?
20
Let b = -415075/79479 - -2/8831. Let x = 4904/7 + -704. Find the common denominator of b and x.
63
Let h = -52757/8 - -6584. Calculate the common denominator of -57/16 and h.
16
Suppose -4*g - 43 = -139. Let z be 0/(-1 + -1 + 1). Suppose -f = -z*f - 22. Calculate the smallest common multiple of f and g.
264
Suppose -10*a + 7*a + 1536 = 0. Let v = a + -3053/6. Calculate the common denominator of v and -91/2.
6
Suppose 9*h + 12 = -348. Calculate the lowest common multiple of 3 + ((-48)/h)/(2/5) and 10.
30
Let n(m) = -5*m**3 + 11*m**2 - 3*m + 12. Let l be n(-7). Let k = l + -22891/10. What is the common denominator of k and 89/8?
40
Suppose -8*f + 51 = -3*f - 3*l, f - 18 = -2*l. What is the lowest common multiple of f and 1230?
2460
Calculate the common denominator of 45/8 and -14 + (-440)/(-33) - (-337)/834.
1112
Let q = 63069 - 12235359/194. Find the common denominator of -13/14 and q.
1358
Suppose -5*n - o = o - 55035, 3*o = 3*n - 33042. Let u = 286333/26 - n. Calculate the common denominator of u and -101/8.
104
Suppose 2*v + 25 = 5*q, -7*v + 2*v + 5 = q. Suppose v*h + 3*h = 6. Let u = h - -3. Calculate the lowest common multiple of u and 9.
45
Suppose -z + 240 = z. Calculate the least common multiple of z and 48.
240
Let f = -9/4442 - -171701/337592. What is the common denominator of f and 143/18?
1368
Let x(u) = -2*u**2 - 100*u - 78. What is the lowest common multiple of x(-49) and 18?
180
Suppose 5*w - 65 - 30 = 0. Suppose 0 = -s - 4, c - 5*s - 5 = 2. Let t = w + c. What is the lowest common multiple of t and 6?
6
Let d = 53 + -47. Suppose 0 = 3*t - 5*w - 324, -5*w + 3*w + 200 = 2*t. Calculate the common denominator of t/d + (-5 - -3) and 63/20.
60
Let r(q) = -22*q**2 - 4*q - 1. Let m be r(-3). Let v = m - -1311/7. Find the common denominator of 1/(-4) - (791/(-84) - -7) and v.
42
Let d(b) = b**3 - 10*b**2 + 10*b - 5. Let l(k) = 4*k**2 + k - 2. Let x be l(-2). Let u = -3 + x. Calculate the smallest common multiple of d(u) and 5.
20
Let j = 32344 + -970417/30. Find the common denominator of -97/12 and j.
60
Suppose 3*z = -5*r - 3, -71*z + 74*z = -3*r + 3. Suppose 5*h - 25 = -3*a, a = -1 - 4. What is the smallest common multiple of h and z?
8
Let d = -56 - -62. Suppose 43 - 25 = d*u. What is the smallest common multiple of 11 and u?
33
Calculate the lowest common multiple of 11 and 62/8 - (-4 + 30/8).
88
Suppose -7*c + 6 = -5*c. Let g(d) = 3*d + 8 - 3 - d - 3*d. Calculate the smallest common multiple of g(c) and 5.
10
Let d(u) = 11*u**3 - 10*u**2 + 3*u + 9. Let v be d(-7). Let i = 60157/13 - 1389265/156. Let y = v - i. Calculate the common denominator of -137/12 and y.
12
Let b be (-1513)/3*(-15)/(-20). Let f = b - -4249/12. Calculate the common denominator of f and 85/32.
96
What is the common denominator of 17/672 and ((-10)/(-8))/((-1604)/104 - -15)?
7392
Let i(g) = -g**3 - 17*g**2 + 19*g + 24. Let t be i(-18). Suppose 0 = -3*q - 5*c - t, 4*q + q = 4*c + 27. Calculate the lowest common multiple of 11 and q.
33
Suppose -x + u = -51, 2*x + 151 = 5*x - 2*u. Suppose w = -2*s + x, -s - 3 = -5*w - 0. Let k = 0 + 2. Calculate the lowest common multiple of k and s.
22
Let j(b) = 3*b + 2*b**2 - 3*b + 2*b + 2. Let k(l) = 2*l**2 - 6*l + 6. What is the lowest common multiple of j(-2) and k(4)?
42
Let k = 1505/2 + -13627/18. Find the common denominator of (-58)/5*(-8 + 161/21) and k.
45
Calculate the common denominator of (-219)/36 + (-2)/3 and (-3)/(-24) - 12501/648.
12
Let x = 10 + -6. Calculate the lowest common multiple of 8 and x.
8
Let a = 4 + 1. Suppose -5*h + 29 = b, -4*h - a + 27 = 2*b. Calculate the smallest common multiple of 6 and h.
6
Suppose -1 - 3 = -2*x. Suppose -x*j - 13 = -37. What is the smallest common multiple of 392/32 - 2/8 and j?
12
Let j(d) = d**2 + 6*d + 17. Suppose 23*s + 21 = 24*s. Calculate the smallest common multiple of j(-3) and s.
168
Let l(m) = -m**3 - 3*m**2 - 6*m - 2. Let x be ((-3)/9)/(3/18). What is the lowest common multiple of 4 and l(x)?
12
Suppose 0*a + 3 = u + 3*a, 0 = -5*u + a - 49. Let t = 3/3142 - -24343/7855. What is the common denominator of u and t?
10
Let d = 322 - 280. Calculate the least common multiple of d and 66.
462
Let r = 1260 - 12483/10. Suppose 0 = 2*v + 3*m + 94, -3*v + 8*m - 158 = 4*m. Calculate the common denominator of r and v.
10
Let w be 4553/((-13)/(13/20)). Let o = 228 + w. What is the common denominator of 11/28 and o?
140
Let i = -2953254/128909 + 6/11719. Let j = -272/33 - i. Let n = -182 - -1640/9. Find the common denominator of n and j.
9
Suppose 2*m - 19 = 5. Suppose 3*f = f + m. Let p = -5 - -25. What is the lowest common multiple of f and p?
60
Let z be (-12)/(2 - (-80)/(-36)). Calculate the common denominator of ((-6)/z)/((-4)/(-246)) and 355/(-210) - 1/(-3).
42
Suppose 64*a = 91*a - 3780. What is the smallest common multiple of a and 42?
420
Let c = 51145/6 - 8544. Calculate the common denominator of c and ((-13)/(-6))/((-3)/5).
18
What is the common denominator of -44/151 and 9/84*(-210)/4?
1208
Suppose 3*v + 19 = 22*v. Calculate the least common multiple of 8 and v.
8
Let c = 294 + -284. Let m(j) = j**2 + 4*j - 1. Let r be m(-5). Suppose -10 = -r*z + c. Calculate the smallest common multiple of 2 and z.
10
Let z = 12074 - 289697/24. Find the common denominator of 161/30 and z.
120
Let s = 160579/16 + -10033. Find the common denominator of s and 23/108.
432
Let q(m) = m**2 + 12*m + 20. Let r be q(-10). Suppose 8*h - 2*h - 18 = r. Suppose h*g + g = 32. Calculate the smallest common multiple of 5 and g.
40
Suppose 3*x + x - 22 = -2*d, 5*x + 2*d = 25. Suppose -2*j = -2*t + x*t, 4 = -t. Find the common denominator of 2/(-4)*-21 + j and 73/4.
4
Let j = -2262819/11 + 204755. Let q = j - -960. What is the common denominator of q and -14/9?
99
Let f(r) = -56*r - 14. Let m be f(-2). Let a = m - 87. What is the smallest common multiple of -4*((-30)/8 - -1) and a?
11
Suppose 0 = j - 4*j + 12. Suppose -j*h - h = 35. Find the common denominator of 43/9 and (3/h)/(4/60).
63
Let s = 21 - 17. Suppose r - 2 = 3. Calculate the least common multiple of r and s.
20
Suppose -v + n = -3*v + 7, 1 = -n. Suppose -k + 20 = v*k. What is the smallest common multiple of (4 + -7 + k)*7 and 9?
63
Let m = 152713/570 + -4972/19. What is the common denominator of m and (-12)/80*(-1300)/(-144)?
240
Suppose -5*x + 20 = -o, 2*x - o - 5 = -0*x. Suppose -x*w + 63 + 117 = 0. Let h(n) = 8*n. What is the least common multiple of w and h(1)?
72
Let l be 10 - ((-30)/2)/5. Let j = l + -11. Suppose -72 = j*t - 4*t. What is the smallest common multiple of 5 and t?
180
Let v = -1009 + 1017. Calculate the least common multiple of 268 and v.
536
Let v = 30086 - 1023023/34. Find the common denominator of 125/6 and v.
102
Let c = 19467/6613 + -1/389. Calculate the common denominator of c and -35/153.
153
Let s(z) = -z + 1. Let g(b) = 9*b + 3. Let i(t) = -g(t) + 2*s(t). Let w be i(-2). Calculate the smallest common multiple of (4/6)/(2/w) and 8.
56
Let p(u) = -2*u**3 - 7*u**2 + 3*u - 2. Let s be p(-4). Suppose -s*w + 33 = 21. Calculate the least common multiple of 4 and w.
12
Let t(n) = 3*n + 6 + 0 - n**3 + n**2 - 2*n. Suppose -5*s + 2*k + 0*k = 8, -s + 5*k = 20. Calculate the lowest common multiple of 12 and t(s).
12
Suppose 189 = -0*w + 3*w. What is the lowest common multiple of 49 and w?
441
Let h(j) = j**2 + 2*j. Let u be h(-2). Suppose u = -6*c + 3*c + 6. Suppose -3*y - 6 = 0, -4*a + 12 + 20 = c*y. What is the least common multiple of a and 10?
90
Let q = 2 - -110. Calculate the least common multiple of q and 2.
112
Let b = 120 - 47. Let t = -57 + b. Calculate the lowest common multiple of t and 6.
48
Calculate the common denominator of -69/10 and (53/(-76) + 0)*18/(-126).
2660
Let b = 101089/10 + -10097. Let s(k) = k**2 + k + 1. Let r(i) = -2*i**2 - 4*i - 1. Let y(v) = -2*r(v) - 6*s(v). What is the common denominator of y(5) and b?
10
Let a = 373151/22 + -16957. Let f = 199/8 - 117/8. Calculate the common denominator of f and a.
44
Let m(u) = -u**3 - 2*u - 2. Let h(k) = -12*k - 496. Calculate the lowest common multiple of h(-45) and m(-2).
220
Let x = -14713/382 - -3/191. Let n = -47275/198 - -2119/9. What is the common d | {
"pile_set_name": "DM Mathematics"
} |
e ((-12)/9)/((-32)/18).
3/4
Calculate (-14)/2*7/(-5)*60/(-42).
-14
What is the value of ((-19)/532*4)/((80/42)/(-5))?
3/8
Evaluate (1052/31560)/(1/18).
3/5
What is the value of 67/((-1005)/(-20))*2/(-136)?
-1/51
What is the value of 60/216*8*21/56?
5/6
Evaluate ((-2)/3*12)/(136/(-102)).
6
Calculate 2/(51/((-25704)/48)).
-21
Calculate (4/6)/(((-3)/108)/(44/176)).
-6
What is the value of -34*((-145)/10)/(-29)?
-17
What is 24/(-90)*(6/3)/8?
-1/15
What is (-8)/7*49/(-42)?
4/3
Calculate ((-208)/4)/26*(-18)/(-4).
-9
Calculate 18/(-3)*(-10)/40*-6.
-9
-6*(6/10)/(132/22)
-3/5
((165/4)/33)/(5/(-40))
-10
17/((-408)/(-270))*4*2/9
10
(-39)/845*(-78)/108
1/30
What is 1/(((-68)/(-408))/(5/6))*-1?
-5
Evaluate (-1*(-1)/16)/(((-252)/120)/21).
-5/8
What is 5/(-35)*2*-28*(-10)/(-120)?
2/3
(648/810)/((-8)/(-270))
27
((-364)/(-819)*15)/((-5)/18)
-24
What is (5*20/(-200))/(2/(4*-2))?
2
Evaluate ((207/108)/23)/((-10)/(-32)).
4/15
Evaluate 1/((-7)/364*4*4/4).
-13
Calculate (-70)/(-105)*9/(-21).
-2/7
Evaluate ((-4)/((-32)/(-12)))/(-9*7/(-294)).
-7
Evaluate (84/(-48))/((-875)/(-50)).
-1/10
Calculate 2/((352/(-66))/16*(-11)/(-1)).
-6/11
What is the value of 1*(6615/(-168))/45?
-7/8
What is the value of (-1)/((161/(-7))/184)?
8
Calculate 4/7*-70*(-30)/1800.
2/3
What is the value of (4/((-8)/33))/((-22)/352*12)?
22
What is (-240)/60*2/8?
-1
Calculate (187/22)/(11*3/132).
34
(-7)/((-42)/(-130))*(-327)/545
13
Calculate ((420/(-49))/(-15)*-1)/((-10)/(-49)).
-14/5
(-4)/18*6372/(-885)
8/5
(-2160)/660*(-44)/8
18
(54/6264*58)/((-2)/12)
-3
What is the value of ((-384)/(-192))/((-2)/11)?
-11
((-8)/((-96)/(-6)))/((-7)/(-210))
-15
Calculate (42/3)/((-75)/30)*(-10)/(-4).
-14
What is (7*56/(-8330))/(5/(50/4))?
-2/17
What is the value of ((-4)/32*4)/(418/(-38))?
1/22
Evaluate ((-1)/((-45)/18))/2.
1/5
Calculate (-37)/(-95460)*30*-4.
-2/43
What is the value of -34*(-10)/1020*22/2*-3?
-11
What is ((-336)/(-168))/(-8*4)?
-1/16
Evaluate 1*(-20)/5*(-580)/(-145).
-16
What is the value of 3/(-3)*11/11*(-33)/1?
33
Evaluate 21/81*(-54)/441.
-2/63
Evaluate (9/(-345))/((-36)/(-120)).
-2/23
4/(-6)*17/(850/(-60))
4/5
Calculate (-60)/350*56/12.
-4/5
What is the value of 12*14/(-336)*(-12)/(-10)?
-3/5
Calculate 49/((-189189)/(-54))*13.
2/11
What is -5*(-36)/(-135)*3?
-4
What is the value of (-60)/14*(-3822)/(-819)?
-20
Evaluate ((-252)/525*5/(-8))/((-18)/(-3)).
1/20
8*(42/(-70))/(6/15)
-12
(28/3*(2346/(-161))/17)/(-18)
4/9
Calculate (-13)/(-4)*((-952)/14)/(-17).
13
(60/5040*105)/(6/8)
5/3
Evaluate (6/3)/(22*7/(-14)).
-2/11
Calculate ((-210)/(-210))/((7/(-20))/(-7)).
20
Evaluate (39/312)/(2/208).
13
Evaluate 30/(-21)*33*812/1914.
-20
What is 22*(-5)/(-20)*(-8)/4?
-11
(-22)/(-3)*5460/(-2002)
-20
Evaluate (8/4)/(26/169).
13
What is (5/4)/(34/136)?
5
Calculate ((256/(-1408))/(3/11))/((-3)/18).
4
Evaluate 2/(-7)*((-61250)/25)/(-35).
-20
Calculate (-2028)/117*3/(-4).
13
What is (-1)/(-4)*((-99)/(-132))/(6/416)?
13
What is the value of 15/(-6)*(-16)/(-5)?
-8
Evaluate ((-124)/651*7)/(4/(-30)*-2).
-5
What is the value of ((-6)/(2*30/16))/(6/(-12))?
16/5
(35/(-21))/((-15)/(-108))
-12
Evaluate (-44)/3*(-1251)/(-1668).
-11
Calculate (-241)/(-1446)*(2/12)/((-6)/24).
-1/9
Evaluate ((-394)/(-1182))/(2*(-1)/12).
-2
3/(((-9)/6*30/9)/(-5))
3
What is 80/100*((-6)/(-6))/(-1)?
-4/5
Evaluate (69/(-230))/(3/4).
-2/5
What is the value of 416/14872*66/4?
6/13
Calculate 2*5/(-3)*(-39)/(-39).
-10/3
What is (((-224)/(-35))/4)/(5/(-50)*4)?
-4
(14976/(-8320))/(1/5)
-9
What is (41847/(-4292))/(6/8)?
-13
What is the value of ((-74)/5)/((-26)/(-65))?
-37
What is (-21)/(-56)*(-5504)/(-4644)?
4/9
What is (((-12)/4)/((-273)/(-91)))/((-1)/3)?
3
What is the value of (273/(-364))/(9/(-6))?
1/2
Calculate (-6)/4*(2/7)/((-66)/(-385)).
-5/2
What is the value of (-28)/(-14)*(-255)/(-12)*(-20)/50?
-17
Calculate (-3)/(45*(-14)/(-140)).
-2/3
What is the value of (6/11)/(7*(-80)/616)?
-3/5
((-50)/(-4))/((-34925)/(-5588))
2
Evaluate (35/(4410/(-72)))/(6/105).
-10
(15/(-765)*4)/(16/(-24))
2/17
(42/(-9))/(15*8/(-36))
7/5
Calculate ((-80)/144*8/120)/(6/9).
-1/18
Calculate 14/4*(4/(-10))/1.
-7/5
Calculate ((-16)/280)/(-2)*42/4.
3/10
What is the value of ((-54)/(-594)*11)/(1*3/1)?
1/3
What is (-2565)/(-21945)*(-14)/12?
-3/22
28/12*-11*432/(-2772)
4
Calculate (((-88)/(-660))/(3/30))/4.
1/3
Evaluate 3/2*(22/(-11))/(-1).
3
Calculate 10/15*-5*(-558)/(-6045).
-4/13
What is ((12/(-17))/3)/(-27*(-14)/378)?
-4/17
(3/27)/((130/13)/(-150))
-5/3
(4/((-20)/(-45)))/((-2)/2)
-9
What is (-6)/((-6)/3)*45/27?
5
What is 980/70*(-2)/(-4)?
7
What is 468/(-416)*(6/4)/(3/8)?
-9/2
(306/2057)/((-69)/(-506))
12/11
What is the value of (((-9)/15)/((-120)/80))/(2/75)?
15
(0/1)/(519/(-519))
0
What is (-12)/((-96)/(-8))*13/(2/(-2))?
13
What is the value of ((-70)/105)/((-16)/144)?
6
What is the value of ((-4)/10)/(((-156)/650)/3)?
5
What is ((-1795)/1077)/((-2)/12)?
10
Calculate (8/(-8))/(6/1)*(-6)/1.
1
Calculate (-8)/(-18)*(-1130)/(-452).
10/9
-11*13/14157*54
-6/11
Evaluate (-10)/(-75)*-10*60/8.
-10
Evaluate 4/(-3)*(-468)/(-39).
-16
What is ((-17)/136)/((-2)/144)?
9
(14/6)/(4879/(-71094))
-34
Calculate 4/21*(-558)/(-496)*(-4)/(-12).
1/14
What is the value of (-29)/(-232)*(-60)/(-25)?
3/10
What is (-4*(-3)/(-117))/((-200)/(-300))?
-2/13
What is the value of ((-10)/(-20))/(4/(-448)*-42)?
4/3
(6000/1080)/(4/18)
25
Calculate 1*-1*(-1397)/(-127).
-11
What is the value of -70*(-25)/(-250)*2*(-1)/(-2)?
-7
Evaluate (-1*(-26)/(-13))/23.
-2/23
(-332)/415*2/4*-10
4
(20/(-25))/(10/(-50))
4
What is (-66)/(-5)*2200/1320?
22
(1/(-2)*117/(-117))/(2/44)
11
Evaluate (-3)/(-2)*(-7040)/(-1760).
6
-1*((6/28)/3)/(8/16)
-1/7
What is (-9)/(-168)*16170/462?
15/8
What is (108/(-4)*(-2)/(-6))/1?
-9
(1*-1)/(61/(-61))*-3
-3
(-2)/(-3)*4/((-184)/(-207))
3
(-8*132/(-8624))/(((-6)/3)/14)
-6/7
5*-1*(-3)/(12/168*21)
10
Evaluate (((-3)/10)/((-22)/(-110)))/4.
-3/8
What is 3/((40/32)/5*90)?
2/15
((54/165)/3)/(15/25)
2/11
Calculate ((-4)/2760*-46)/(1/21).
7/5
What is the value of ((-29)/(1450/75))/(2/((-8)/(-45)))?
-2/15
(39/(74412/(-265)))/((-5)/(-3))
-1/12
What is the value of (-5)/(-50)*-24*(78/54)/13?
-4/15
Calculate 2*2*717/478.
6
What is the value of ((-73)/(-511))/(6/798)?
19
Calculate (1/(10/(-3)))/((-9468)/(-5260)).
-1/6
What is (54/273*-1)/((-21)/49)?
6/13
(-48)/32*(-24)/(-8)*2
-9
What is the value of -7*6/(-56)*(-9)/((-297)/(-22))?
-1/2
What is the value of (-1)/((3*(-7)/14)/(3/1))?
2
Calculate ((-12)/(-3))/(((-171)/228)/((-18)/(-16))).
-6
Calculate (-2)/12*36/30*2*-15.
6
What is the value of 0/((-8)/6*(-18)/(-12))?
0
Calculate ((-2)/(-6)*2)/((-17)/(-153)).
6
What is the value of ((-648)/288)/((15/8)/((-6)/4))?
9/5
What is the value of (-23)/2622*-19*-66?
-11
Evaluate 8/(-2156)*33*-21.
18/7
(15*(-9)/(-135))/((-2)/16)
-8
Calculate ((-3)/(-8))/((-759)/(-38456)).
19
Calculate (-2)/(-10)*5*-6*8/16.
-3
What is ((-4)/(-5))/(4/40*12/(-21))?
-14
Calculate ((-360)/54)/(((-48)/54)/2).
15
What is the value of (-1*(-8)/168*-7)/1?
-1/3
What is the value of 0/(56/(70/(-5)))?
0
Evaluate 2758/5319*9/21.
2/9
What is 3/2*30/5?
9
What is (-18)/(-27)*126/(-168)?
-1/2
Evaluate 2*1/6*544/(-2448).
-2/27
What is the value of (-66)/8*(-182)/117*(-36)/(-42)?
11
284/284*0/(-1)
0
Calculate (-7*(-2)/14*-1)/((-53)/(-636)).
-12
What is the value of ((-62)/372)/((-5)/45*-6)?
-1/4
What is ((-24)/44)/((231/242)/(-7))?
4
Evaluate 2*(36/9)/((24/9)/4).
12
Evaluate (-1)/(33/(-20)*-34*(-36)/1836).
10/11
Calculate (-12)/(-16)*(-4)/18*6.
-1
(8/8*-1)/1*-13
13
What is ((-16)/144)/(8/48)*39/(-2)?
13
Calculate (11/((-880)/(-24)))/((288/(-20))/8).
-1/6
Calculate ((-6)/(-3)*(-20)/35)/(2/14).
-8
What is the value of (1224/544)/((-2)/(2*4))?
-9
What is the value of 24/((((-6)/20)/1)/(152/(-760)))?
16
Calculate (7/14*1)/(((-63)/216)/(-7)).
12
What is the value of (4*(-1)/26)/((-506)/1012)?
4/13
What is the value of (5/((-15)/2))/(396/297)?
-1/2
Calculate (12/(-11))/(51/(-561)).
12
((256/(-24))/(-16))/(-1*(-1)/(-18))
-12
Calculate ((-7)/742)/((26/(-260))/((-4)/(-10))).
2/53
What is (((-70)/(-15))/(-7))/((-4)/(2*-12))?
-4
Evaluate (-9)/(-18)*11/(154/(-4)).
-1/7
6/(-3)*(-47)/(-94)
-1
What is the value of ((-73)/(-135415)*53)/((-1)/(-45))?
9/7
(12/(-30)*15)/(-11)
6/11
Evaluate ((-8)/(-64)*70/35)/(15/(-4)).
-1/15
Evaluate (-2)/((-112)/(-30))*296/(-74).
15/7
W | {
"pile_set_name": "DM Mathematics"
} |
t common divisor of 75 and w.
15
Let a(y) = 35*y**2 + y + 1. Let f be a(-1). Let g = 20 - 20. Let m be -1*(-10)/(2 - g). What is the greatest common divisor of m and f?
5
Let p be 3 - (2 - 2 - 0). Calculate the greatest common factor of p and 24.
3
Let v = -11 - -16. Calculate the greatest common divisor of v and 10.
5
Let q be 2/5 - (-135)/(-25). Let x(i) = -25*i + 7. Let k be x(q). Calculate the highest common divisor of k and 12.
12
Let j = 3 + 3. Let s be 0/2 - (-3 - -1). Suppose 0 = -s*z - 2*z + 24. What is the greatest common divisor of z and j?
6
Suppose -32 = -o - 2*f, 4*o - 3*f = 3*o + 22. Let j = -42 - -56. Calculate the greatest common factor of o and j.
14
Suppose 6 = -3*v, -3*g = 2*v - 2 - 18. Let j(b) = -3*b - 6 - 2*b - 4*b - b**3 - g*b**2. Let u be j(-7). Calculate the highest common divisor of u and 40.
8
Suppose 2*n = 16 - 14. Calculate the highest common factor of 2 and n.
1
Let a be 224/12 + (-4)/6. Let m = 16 - 13. Suppose m*y - 10 - 8 = -4*o, -11 = -4*y - o. What is the highest common divisor of y and a?
2
Let i be 2 + (-4)/((-8)/2). Suppose -5 - 1 = -i*u. Calculate the greatest common divisor of u and 8.
2
Suppose 3*z - 40 - 5 = 0. What is the highest common factor of 6 and z?
3
Let u be 2 - (3 - 0) - -36. Let c be u - -5 - (1 - -1). Calculate the highest common divisor of 57 and c.
19
Let q(s) = 207*s - 1. Let f be q(1). Let r = f - 94. What is the greatest common factor of r and 14?
14
Suppose 135 = 35*c - 26*c. Suppose t = -t + 210. Calculate the highest common factor of t and c.
15
Let q(c) = -c + 10. Let o be q(6). Suppose o*k = 97 + 99. What is the greatest common factor of k and 7?
7
Suppose 4 - 7 = -u. Let k = u - -1. Suppose -40 = -4*f - 0*f. What is the greatest common divisor of k and f?
2
Suppose 48 = 2*i - 36. What is the highest common divisor of 6 and i?
6
Let w be 3*(-40)/6*-1. Let o be 18/(-3)*(-2)/3. What is the highest common divisor of w and o?
4
Let x be (132/(-15))/((-1)/5). What is the highest common divisor of x and 11?
11
Suppose 0 = -3*i - 0*i - 6. Let q be (-125 + -1)*5/i. Suppose 5*p = -0*p + q. Calculate the highest common divisor of p and 42.
21
Let c be 1 + 0 + (-440)/(-8). Suppose i = -i + c. Calculate the highest common factor of 4 and i.
4
Let d(i) = 3*i**2 - i - 7. Let k be d(5). Calculate the highest common divisor of 21 and k.
21
Let s = 9 - 5. Let a(y) = y. Let j be a(10). What is the greatest common divisor of s and j?
2
Let z(w) = 2*w**2 - 5*w + 3. Let f be z(3). Let y(x) = -x**3 + 6*x**2 + 7*x + 6. Let q be y(7). What is the greatest common divisor of f and q?
6
Suppose -6*m + 3*m = -180. Suppose -64 = 5*l - 3*w - 169, -86 = -4*l + 2*w. What is the highest common factor of m and l?
12
Let i be 602/10 - 4/20. Suppose -26 = -3*v + 5*r, -3*r = -5*r + 4. Calculate the greatest common divisor of i and v.
12
Suppose 0*p + 42 = 3*p. Suppose -21 + 7 = -q. What is the greatest common factor of p and q?
14
Suppose -o + 3*q - 5*q = -52, 0 = o - q - 37. Suppose 0 = t + 3*c + 11 - 25, -51 = -5*t + 4*c. Let p = t + 3. What is the highest common divisor of p and o?
14
Let r be (0 + -1)*(4 - 0 - 7). What is the highest common factor of 6 and r?
3
Let f = 189 + -173. Let n = -7 + 11. What is the greatest common divisor of n and f?
4
Suppose 4*t = 4*l - 9*l + 392, 3*l = -4*t + 384. Calculate the greatest common divisor of 62 and t.
31
Let q be 5*-5*(-15)/125. Suppose 0 - 4 = -y, -3*y = k - 15. What is the greatest common divisor of q and k?
3
Suppose 6*o - 32 = 2*o. Let n = -3 + 5. Suppose 0 = -u + n*u - 2. What is the greatest common divisor of o and u?
2
Let p be (-141)/(-2 + -1) - (-4)/(-2). What is the highest common divisor of p and 60?
15
Let m(f) = 2*f**2 + 14*f - 7. Let s be m(-8). Calculate the greatest common divisor of 81 and s.
9
Suppose 12 = w + 3*w, 0 = 3*d + 2*w. Let m be -1 - (-314)/(-4)*d. Let c = m + -111. What is the highest common divisor of c and 9?
9
Let i(d) = -3*d + 20. Let x be i(0). Calculate the highest common factor of 20 and x.
20
Let c = 14 - 14. Suppose 0 = 4*d - 5*q - 53, 2*d + c = -2*q + 4. What is the highest common factor of 56 and d?
7
Suppose o = 6*o - 330. Suppose -8*i + o = -7*i. Calculate the highest common factor of i and 6.
6
Let d be -2*(-12 - (1 - 4)). Calculate the highest common divisor of 27 and d.
9
Suppose -5 = -3*u - 3*v + 40, -u = -2*v. Suppose 4*r + 2 - u = 0. Suppose 3*s + 24 = 2*o, s - 3*s = -r*o + 28. What is the greatest common divisor of 126 and o?
18
Let o = -4 + 4. Suppose -j + 3*l = 1, -j - l + 6 + 5 = o. Calculate the greatest common factor of 20 and j.
4
Let g be 9/(-4)*-2*2. Suppose 4*t + g = 29. Let n = 24 + -4. What is the highest common factor of t and n?
5
Let h(j) be the second derivative of j**3/3 - 9*j**2/2 - 4*j. Let o be h(6). Calculate the greatest common factor of o and 9.
3
Let i be (-3)/6 + 22/4. Suppose 3*h - 2*v - 15 = 0, -i*h = -3*v - 7 - 19. Calculate the highest common factor of 77 and h.
7
Suppose -80 = 5*p - 310. What is the greatest common factor of p and 23?
23
Let v be (51/6 + 3)*-2. Suppose -k = 4*n - 20, k = -2*n - n + 18. Let s be (-9)/k - v/4. Calculate the greatest common factor of s and 10.
5
Let d be (-3)/1 + (-1524)/(-4). What is the greatest common factor of 42 and d?
42
Let k(u) = u**2 + 2*u + 2. Let a be k(-2). Suppose 0*s - a = -2*s. Calculate the greatest common factor of 7 and s.
1
Suppose 5*c = -0*c + 60. Let p = -95 + 57. Let w = p + 68. Calculate the greatest common factor of w and c.
6
Let y = 12 + 10. What is the highest common divisor of y and 88?
22
Let g be -2 + (-7)/((-21)/(-18)). Let j = g + 10. Suppose q = -5*t + 1 - 2, -2*q + 19 = 3*t. What is the greatest common factor of q and j?
2
Suppose -5*x = 5*v - 15, -3*v + 3*x + 2*x + 9 = 0. Let z = 3 + v. Suppose -k - 5*a = -11, -1 + 17 = 2*k + 4*a. What is the highest common factor of k and z?
6
Let f be (47/(-2))/((-6)/36). Let d = f + -85. Let t be (-2)/(-8) + 55/4. Calculate the greatest common factor of t and d.
14
Let q(t) = 7*t - 40. Let x be q(16). What is the highest common divisor of x and 8?
8
Let i be ((-2 - -1)/((-5)/50))/1. What is the highest common factor of i and 70?
10
Let m be 2 + 442 + (1 - 3). Suppose -4*o + 2*j + m = -0*j, 4*o = j + 441. Calculate the greatest common factor of 22 and o.
22
Let o be (-3)/(-2)*(16 + -2). Let t = 41 - 27. Let d be (-94)/(-14) + 4/t. Calculate the highest common factor of o and d.
7
Suppose 0 = -x - 4*v + 28, 23 = 5*x + 5*v - 87. Suppose -2*h = 3 + 1. Let g be (20/h)/(2/(-2)). What is the highest common divisor of g and x?
10
Suppose 5*r - 3*r - 28 = 0. Let u = 53 + -51. Calculate the highest common factor of u and r.
2
Let q be 6/(-27) - 110/(-9). Calculate the highest common factor of 18 and q.
6
Let t be ((-4 - 0) + 2)*-10. What is the highest common divisor of 30 and t?
10
Suppose 2*m + 4*q + 18 = 5*m, 4*m - 2*q = 24. Let h = -1 + m. What is the greatest common factor of 1 and h?
1
Let c = 22 - -5. Let w = c + -15. What is the highest common divisor of 84 and w?
12
Let n be (-216)/(-6)*2*(-5)/(-3). Calculate the greatest common divisor of n and 15.
15
Let k(m) = 3*m**2 - 2*m - 1. Let o be k(3). Calculate the greatest common divisor of o and 5.
5
Let q = 180 - 81. What is the greatest common factor of q and 22?
11
Let j be ((-21)/(-3))/((-3)/(-3)). Suppose j*g - 560 = 2*g. Calculate the greatest common divisor of 14 and g.
14
Let o = -17 - -23. Suppose -25 = -5*x, -3*p + x = -o - 16. Suppose 2*c + 297 = 5*c. What is the highest common factor of c and p?
9
Suppose 5*v = w + 525, 2*v - 3*w = -v + 315. Calculate the highest common factor of v and 42.
21
Let l be (-12)/(-10)*10*(-1)/(-2). What is the greatest common divisor of l and 15?
3
Let f be 1/(-1)*3*2. Let y be (16/10)/(f/(-45)). What is the greatest common divisor of y and 96?
12
Let f = -20 - -36. Calculate the greatest common factor of 40 and f.
8
Suppose 38 = 3*w - 3*k - 364, 5*w - 656 = -2*k. What is the highest common factor of 12 and w?
12
Let q be 4/22 + (-62)/(-22). Suppose -q*w = -5*b - 242, -4*w + 4*b + 29 + 299 = 0. Suppose -5*m + 50 = -10. Calculate the highest common divisor of m and w.
12
Suppose m = -0*z + z - 27, 5*z + 2*m - 121 = 0. Suppose 7*a = 2*a + z. Let p = 0 + 15. What is the greatest common divisor of p and a | {
"pile_set_name": "DM Mathematics"
} |
2.
-12*z**2
Collect the terms in 223*o + 890*o**3 + 198*o + 200*o - 823*o + 202*o.
890*o**3
Collect the terms in -536637*n**2 + 134172*n**2 + 134154*n**2 + 134154*n**2 + 134157*n**2 + 15*n**3.
15*n**3
Collect the terms in 33 - 11660*t + 26 - 2550*t - 59.
-14210*t
Collect the terms in -512*g**2 - 338*g**2 - 535*g**2 + 1407*g**2.
22*g**2
Collect the terms in 594 + 7*n + 443 - 1039.
7*n - 2
Collect the terms in 13019*y**3 + 67451*y**3 + 10765 - 5382 - 5383.
80470*y**3
Collect the terms in 24 + 3471*z**3 - 24 - 410*z + 415*z.
3471*z**3 + 5*z
Collect the terms in -108*r + 51*r - 833*r**2 - 335*r**2 - 77*r**2 + 57*r.
-1245*r**2
Collect the terms in 458 - 37230*u**2 - 458 + 263788*u**2.
226558*u**2
Collect the terms in -581471*z**3 + 63*z - 63*z + 580645*z**3.
-826*z**3
Collect the terms in 0*m - 26*m + 22*m + 4*m + 23964*m**2.
23964*m**2
Collect the terms in -90788 + 50888 + 39900 + 15*q**2.
15*q**2
Collect the terms in -12*s**2 + 2323*s + 2302*s - 6919*s + 2294*s + 15*s**2.
3*s**2
Collect the terms in -1666*v + 105*v + 1562*v - 75.
v - 75
Collect the terms in -811*n**3 - 304*n**3 + 4*n**2 - 103*n**3 + n - 18.
-1218*n**3 + 4*n**2 + n - 18
Collect the terms in -37 + 111 + w**2 - 39 - 11*w**2 + 308*w - 35 - 304*w.
-10*w**2 + 4*w
Collect the terms in 42 - 12 + 296*w**2 - 295*w**2 - 12 - 16.
w**2 + 2
Collect the terms in 234613091 - 234613091 - 20*v**2.
-20*v**2
Collect the terms in -69457*f**3 - 16*f - 69312*f**3 + 6*f + 138772*f**3 + 10*f.
3*f**3
Collect the terms in 2 - 1876702*g**2 - 5*g + 1877032*g**2 + 0*g.
330*g**2 - 5*g + 2
Collect the terms in -22*s + 42 + 36 - 78*s**2 + 41*s**2 + 39*s**2.
2*s**2 - 22*s + 78
Collect the terms in 55*o**2 - 22*o**2 + 14 - 2*o - 14 + 3*o.
33*o**2 + o
Collect the terms in -1910918*j + 1910918*j - 7 - 2*j**2.
-2*j**2 - 7
Collect the terms in 39*f - 1552 + 279 + 210 - 36*f - 44.
3*f - 1107
Collect the terms in 4802*t**2 + 3942*t**2 + 850*t**2 - 762*t**2.
8832*t**2
Collect the terms in -117400 + u**2 + u**3 + 9*u**2 + 117400.
u**3 + 10*u**2
Collect the terms in 56*a + 110*a - 18*a - 37*a.
111*a
Collect the terms in 67*u**2 + 397*u**2 - 349*u**2.
115*u**2
Collect the terms in 2 + 773*t**2 - 5*t**3 - 696*t**2 + 0*t**3 + t**3.
-4*t**3 + 77*t**2 + 2
Collect the terms in 830*p + 111 + 1231*p**3 + 824*p - 1654*p + 762*p**3.
1993*p**3 + 111
Collect the terms in -524 + 612*z**3 + 524 + 129*z**3.
741*z**3
Collect the terms in -3878 - 276*k**2 + 1919 + 1927.
-276*k**2 - 32
Collect the terms in -1122 - 1337 - 37*i + 3589 - 1130.
-37*i
Collect the terms in -2*t**2 + 6*t**3 + 499*t + 501*t - 1546*t + 546*t.
6*t**3 - 2*t**2
Collect the terms in 1553*a + 7 - 2 - 6 - 899*a.
654*a - 1
Collect the terms in -7369*y**3 + y + 7372*y**3 - 1288 + 427 - y + 676.
3*y**3 - 185
Collect the terms in -1527*a**3 + 4608*a**3 - 1532*a**3 - 2*a - 1528*a**3.
21*a**3 - 2*a
Collect the terms in 17681*i - 27613*i - 40143*i - 52408*i - 776*i.
-103259*i
Collect the terms in -23*j**2 - 57*j**2 - 408*j - 43*j**2 + 79*j + 85*j**2.
-38*j**2 - 329*j
Collect the terms in -39*k - 168871036 + 168871036.
-39*k
Collect the terms in -499535*z**2 - 1076354*z**2 - 1308272*z**2.
-2884161*z**2
Collect the terms in -d**2 + 2*d**3 + 4*d**2 + 91 + 4429*d + 5016*d.
2*d**3 + 3*d**2 + 9445*d + 91
Collect the terms in -292 + 807 + 181*i - 179*i.
2*i + 515
Collect the terms in 19 - 19 - 2350952*b.
-2350952*b
Collect the terms in -3389*v**3 + 6798*v**3 - 3359*v**3.
50*v**3
Collect the terms in 49*p**2 - 2*p**3 - 7*p + 8 - 2*p + 9*p - 54*p**2.
-2*p**3 - 5*p**2 + 8
Collect the terms in 141*b**3 + 106 - 448*b**3 - 21*b**2 - 106 + 5*b**2.
-307*b**3 - 16*b**2
Collect the terms in 13*n**3 + 5 - 4 - 1475*n**2 - 1 + 736*n**2 + 743*n**2.
13*n**3 + 4*n**2
Collect the terms in -6*b**2 + 373*b + 368*b + 332*b - 1073*b.
-6*b**2
Collect the terms in 1451*o**2 - 2 - 314*o**2 + o**3 + 0 + 3304*o**2.
o**3 + 4441*o**2 - 2
Collect the terms in 80251*a**2 + 80358*a**2 - 1 - 160747*a**2 + 1.
-138*a**2
Collect the terms in 63*s - 7833626*s**2 + 15667122*s**2 - 7833605*s**2 - 63*s.
-109*s**2
Collect the terms in -1372 + 15759276*a - 15759276*a - 2*a**3.
-2*a**3 - 1372
Collect the terms in -1478 - 1155*q + 1168*q - 12*q + 1478.
q
Collect the terms in -124 - 3*h**2 - 148 + 59 + 17 + 97*h.
-3*h**2 + 97*h - 196
Collect the terms in 7869039 - 3*g**2 + 7869028 - 15738068.
-3*g**2 - 1
Collect the terms in 66 + 85513*d + 64 - 27 - 21.
85513*d + 82
Collect the terms in 808*x**2 - 4422 + 4422 - 15*x**2.
793*x**2
Collect the terms in 23095*y - 18 - 3 + 21.
23095*y
Collect the terms in 237 + f**3 - 3*f**3 - 114 - 123 - 4*f**3.
-6*f**3
Collect the terms in -3 - 11*k**2 + 3 + 850678055475*k - 850678055475*k.
-11*k**2
Collect the terms in 4*l + 12401*l**2 - 24799*l**2 + 12396*l**2 - 2*l + 3232.
-2*l**2 + 2*l + 3232
Collect the terms in 15482*i - 117009*i + 7 - 172114*i.
-273641*i + 7
Collect the terms in -33*f - 94*f - 1 + 173*f - 103*f.
-57*f - 1
Collect the terms in -16721278*x**3 + 16721960*x**3 - 33*x**2 + 33*x**2.
682*x**3
Collect the terms in 26*n - 43*n + 1989 - 43*n + 125.
-60*n + 2114
Collect the terms in -31694*z - 102 + 101 - 26463*z - z**2.
-z**2 - 58157*z - 1
Collect the terms in -152*y - 155*y + 151*y - 147*y + 301*y.
-2*y
Collect the terms in 320*x + 326*x - 946*x - 57 + 320*x + 57.
20*x
Collect the terms in 1052*n**2 - 211*n - 50668*n**2 + 211*n.
-49616*n**2
Collect the terms in -u**3 - 2591*u**2 - 16485 + 2591*u**2 + 3*u**3 + 2254.
2*u**3 - 14231
Collect the terms in 0*j - 38 - 126 - 81 - 5*j.
-5*j - 245
Collect the terms in -169306*d**2 + 85718*d**2 + 87125*d**2.
3537*d**2
Collect the terms in 734663*a - 1469304*a + 734641*a - 38*a**3.
-38*a**3
Collect the terms in -21*q - 23*q + 205*q - 106*q - 18*q - 26*q - 12*q.
-q
Collect the terms in 655*b + 654*b - 2015*b + 484*b.
-222*b
Collect the terms in 10 - 39 + 130 - 50 + 10*f - 51.
10*f
Collect the terms in 18 - 10 - 2 - 10*g - 15.
-10*g - 9
Collect the terms in 2842*u**2 - 2066*u**2 + 5288*u**2.
6064*u**2
Collect the terms in m + 3434*m**2 - 3429*m**2 + 2*m - 4*m + m.
5*m**2
Collect the terms in -79 + 33 + 19 - 882*g + 14 + 13.
-882*g
Collect the terms in -25 - 3*d + 3*d - 2*d**2 - 347 + 268 - 20.
-2*d**2 - 124
Collect the terms in 19 + 66 - 17 - 31 + 3*o**2 - 37.
3*o**2
Collect the terms in -409*r**2 - 20*r + 1106*r**2 - 189*r**2 + 20*r.
508*r**2
Collect the terms in -364*g**2 + 105*g**2 + 57*g**2 - 599*g**2.
-801*g**2
Collect the terms in -3418*c - 3401*c - 3399*c + 13571*c - 3396*c.
-43*c
Collect the terms in 18204 - 4*k - 4568 - 4586 - 4688 + 6*k - 4669.
2*k - 307
Collect the terms in -4 + 5*w - 332*w**3 - 314*w**3 + 662*w**3 - 5*w + 4.
16*w**3
Collect the terms in 0*m + 732*m**3 - 812*m**3 + 46*m**3 + 0*m + 78*m**3.
44*m**3
Collect the terms in 2*d**2 + 336*d + 194*d - 523*d - 245 + 245.
2*d**2 + 7*d
Collect the terms in 806*o**2 - 34869 + 34984 - 802*o**2.
4*o**2 + 115
Collect the terms in 2 - 71*t + 259*t - 77*t - 67*t - 64*t.
-20*t + 2
Collect the terms in -1273*x**2 - 1274*x**2 - 171 + 172 + 2539*x**2.
-8*x**2 + 1
Collect the terms in 7258*m**3 + 2*m - 1274*m**3 + 12628*m**3 - 2*m.
18612*m**3
Collect the terms in -13*q - 218*q + 2524 - 2548.
-231*q - 24
Collect the terms in 165*j - 119*j - 25*j**2 - 48*j**2 - 46*j + 75*j**2.
2*j**2
Collect the terms in 131*a**3 - 20 + 15 + a**2 - 119*a**3 + 5.
12*a**3 + a**2
Collect the terms in 113460*x**3 - 205264*x**3 + 124637*x**3.
32833*x**3
Collect the terms in 503 - 168*r - 1462 + 478 + 482.
-168*r + 1
Collect the terms in -6555*n + 19691*n - 6569*n - 6549*n.
18*n
Collect the terms in -5691*f + 2271*f - 3*f**2 + 4*f**2 + 1967*f - 3*f**2 + 1881*f.
-2*f**2 + 428*f
Collect the terms in 79752174*b - 159504376*b + 79752198*b.
-4*b
Collect the terms in -152 - 178 + 35*h + 589 - 259.
35*h
Collect the terms in -827290 + 827290 + 10*w**3 - 70*w**2.
10*w**3 - 70*w**2
Collect the terms in -1138078 + 1138078 - 135*s**3.
-135*s**3
Collect the terms in -290217 + 145622 + 144618 + 2*m.
2*m + 23
Collect the terms in 1812519 - 2*w**2 + 1812437 - 3624956.
-2*w**2
Collect the terms in 3868*g + g**3 + 3872*g + 5390*g - 13130*g - 4*g**3.
-3*g**3
Collect the terms in 39446*f**3 - 16254*f**3 - 23197*f**3.
-5*f**3
Collect the terms in 129210*u**3 - 64425*u**3 - 64781*u**3.
4*u**3
Collect the terms in 20*i**2 - 29 - 78 + | {
"pile_set_name": "DM Mathematics"
} |
))/sqrt(7).
30*sqrt(7)
Simplify (sqrt(1100)*1*1 - sqrt(1100))**2*-4.
0
Simplify 3 + -2 + (sqrt(30)/sqrt(2))/sqrt(5) + -1.
sqrt(3)
Simplify ((sqrt(220)/(sqrt(11)*-1))/(sqrt(40)/sqrt(4)*3))**2.
2/9
Simplify sqrt(228)/(sqrt(1452)*1)*-3.
-3*sqrt(19)/11
Simplify -3 + -4*sqrt(7)*6.
-24*sqrt(7) - 3
Simplify (sqrt(209) + -2*sqrt(209)*3)/sqrt(11).
-5*sqrt(19)
Simplify sqrt(84)/(sqrt(1728) - sqrt(12))*-2.
-2*sqrt(7)/11
Simplify -4 + (-5 + sqrt(10)/sqrt(5))**2.
-10*sqrt(2) + 23
Simplify (((sqrt(135) + (sqrt(135) - -1*sqrt(135)) + sqrt(135))/sqrt(9))/(sqrt(9)/(sqrt(3)*-1)))**2.
80
Simplify (sqrt(13) - (sqrt(208)*-2 + sqrt(208))**2) + (sqrt(91)*3)/sqrt(7).
-208 + 4*sqrt(13)
Simplify sqrt(4)/(sqrt(4)/sqrt(2)) + (sqrt(6)/(sqrt(9)/sqrt(3)))**2.
sqrt(2) + 2
Simplify (sqrt(1728)*2)/sqrt(9).
16*sqrt(3)
Simplify (1 + (sqrt(3) - (sqrt(27))**2))*-3 + -5.
-3*sqrt(3) + 73
Simplify sqrt(17) + (sqrt(204) + sqrt(204)*3)/sqrt(12) + 5.
5 + 5*sqrt(17)
Simplify (sqrt(209) - (5*(sqrt(209) - (sqrt(209) + sqrt(209)*1)) + sqrt(209)))/(sqrt(11) - (sqrt(396) - (sqrt(396) + 3*sqrt(396))) - sqrt(11)).
5*sqrt(19)/18
Simplify (sqrt(75) + (sqrt(75) + -1 + sqrt(75) + sqrt(75) + -2 - sqrt(75)))**2 + -3.
-90*sqrt(3) + 681
Simplify sqrt(4)/(-2*sqrt(2)) - ((sqrt(6)/(2*sqrt(3)))**2 + sqrt(2)).
-3*sqrt(2)/2 - 1/2
Simplify -6*(-2 + sqrt(1872)).
-72*sqrt(13) + 12
Simplify (sqrt(125)*1 - sqrt(125)) + sqrt(5) + -3 + 0 + -2.
-5 + sqrt(5)
Simplify (1*sqrt(68)*-1)/(sqrt(28)/(sqrt(21)/sqrt(3))).
-sqrt(17)
Simplify (-1*(0 + sqrt(325)))**2.
325
Simplify (4 + ((sqrt(605) + 0)*-2 - (-1*sqrt(605) - sqrt(605))*5))**2.
704*sqrt(5) + 38736
Simplify (sqrt(75) - 6*(0 + sqrt(75)))**2.
1875
Simplify (-2*(sqrt(24)*4 + sqrt(24)))/(-6*sqrt(48)/sqrt(6)).
5*sqrt(3)/3
Simplify (sqrt(448)*3)/(sqrt(484)*-2).
-6*sqrt(7)/11
Simplify 4*((-1*sqrt(704))**2 + 2).
2824
Simplify ((sqrt(18)*-1*-5 + sqrt(18))/((sqrt(240)/sqrt(10) - sqrt(6)) + sqrt(6)))**2.
27
Simplify -3 + sqrt(128) + -2 - (1 + sqrt(128)*-2).
-6 + 24*sqrt(2)
Simplify (sqrt(3) + -4*sqrt(12) + -3)**2.
42*sqrt(3) + 156
Simplify ((-6*(sqrt(112) + sqrt(7)) - (sqrt(112) + 5))*1)**2.
340*sqrt(7) + 8117
Simplify 3*(sqrt(684) + 3)**2 - (1 + sqrt(684))**2*-5.
168*sqrt(19) + 5504
Simplify (-5 + sqrt(363) + sqrt(363) + -1 + 5 + -4)**2.
-220*sqrt(3) + 1477
Simplify (sqrt(117) - -6*sqrt(117)*2)**2 + (sqrt(117) - ((-5*(sqrt(117) + 2 - sqrt(117)))**2 - sqrt(117))).
6*sqrt(13) + 19673
Simplify (-5 + sqrt(833)*-1 - (sqrt(833)*-1 + 3))**2.
64
Simplify ((-2*sqrt(2548))/(2*sqrt(100)))**2.
637/25
Simplify (sqrt(2) - (1*sqrt(2))**2)*-1*6.
-6*sqrt(2) + 12
Simplify (1 + sqrt(7))*-6 - ((sqrt(448)*2 + sqrt(448))**2 + sqrt(448)).
-4038 - 14*sqrt(7)
Simplify ((sqrt(80) - (sqrt(80) + -1*sqrt(80))) + sqrt(80))/sqrt(10) + sqrt(72)/(sqrt(9)*-1).
2*sqrt(2)
Simplify (2*sqrt(5)*2)**2 - 1*(sqrt(45) - sqrt(5))**2.
60
Simplify (((-2*sqrt(816) - sqrt(816)) + sqrt(816))/(sqrt(147)*-1)*4)**2.
17408/49
Simplify (3*sqrt(99)*-1)/sqrt(9).
-3*sqrt(11)
Simplify (-5*(sqrt(91) + sqrt(91)*2))/(sqrt(63)/(sqrt(36)/sqrt(4) + sqrt(9)))*-6.
180*sqrt(13)
Simplify -1*sqrt(833) - sqrt(170)/sqrt(90).
-22*sqrt(17)/3
Simplify 3 + ((sqrt(1377))**2 - sqrt(17)) - 1*sqrt(1700).
-11*sqrt(17) + 1380
Simplify -5*(sqrt(245) + -5*(sqrt(245) + -1))*2.
-50 + 280*sqrt(5)
Simplify -6*(sqrt(3) - sqrt(12)) + 3.
3 + 6*sqrt(3)
Simplify sqrt(304) + sqrt(304) + (-1*sqrt(304) + -1 - sqrt(304))**2 - (-5 + (0 + sqrt(304) - sqrt(304) - sqrt(304))).
28*sqrt(19) + 1222
Simplify (2*(sqrt(133)*2 - sqrt(133)))/sqrt(7).
2*sqrt(19)
Simplify (2 + 0 + sqrt(19))*2.
4 + 2*sqrt(19)
Simplify -4*sqrt(153) + sqrt(153) + -5.
-9*sqrt(17) - 5
Simplify sqrt(19) + sqrt(171)/(sqrt(45)/sqrt(5)) - (-3 + sqrt(57)/sqrt(3)).
3 + sqrt(19)
Simplify 1*sqrt(5)*3 + sqrt(245) + -1*sqrt(245).
3*sqrt(5)
Simplify -3*sqrt(15)/(sqrt(80)*3).
-sqrt(3)/4
Simplify 5 + sqrt(12)*-1.
-2*sqrt(3) + 5
Simplify -5 + sqrt(95)/(sqrt(5)*2).
-5 + sqrt(19)/2
Simplify 5 + (sqrt(28) - sqrt(168)/sqrt(6)).
5
Simplify sqrt(56)/sqrt(72)*2.
2*sqrt(7)/3
Simplify -3*(5 + sqrt(567) - sqrt(7))**2.
-1419 - 240*sqrt(7)
Simplify 6*-5*(1 + sqrt(448))**2 + -2.
-13472 - 480*sqrt(7)
Simplify (5 + (2*sqrt(80) - sqrt(80)))**2 - (sqrt(605) + 1 + sqrt(605) + sqrt(5) + sqrt(35)/(sqrt(21)/sqrt(3))).
16*sqrt(5) + 104
Simplify -5 + -5 + sqrt(304)*-2.
-8*sqrt(19) - 10
Simplify ((sqrt(408)/(sqrt(108) + sqrt(12) - sqrt(12)))/(1*sqrt(2)*-2))**2.
17/36
Simplify 3 + (sqrt(7) + 1)**2 + sqrt(7) - (sqrt(14)/sqrt(2) + 1 - sqrt(7)).
3*sqrt(7) + 10
Simplify -2*(5 + ((-4*sqrt(190))/sqrt(10) - sqrt(19))).
-10 + 10*sqrt(19)
Simplify 5 + -2*sqrt(7) - sqrt(189)/sqrt(3).
-5*sqrt(7) + 5
Simplify ((3*sqrt(171))/sqrt(9))**2*5*-2.
-1710
Simplify -2 + sqrt(2) + -5 + (sqrt(32)*-2)**2.
sqrt(2) + 121
Simplify -3 + sqrt(700) + sqrt(63) + 1.
-2 + 13*sqrt(7)
Simplify -4 + sqrt(119)/(sqrt(7) + sqrt(28))*5.
-4 + 5*sqrt(17)/3
Simplify -3*(-2*sqrt(30)*-4)/(sqrt(42)/(sqrt(7)*-1)).
24*sqrt(5)
Simplify (1*sqrt(22))/sqrt(11) + -4.
-4 + sqrt(2)
Simplify ((sqrt(475) + -1)*4)**2.
-160*sqrt(19) + 7616
Simplify ((sqrt(11) + 1 + 4)*-1)**2.
10*sqrt(11) + 36
Simplify 3*(sqrt(448) + 4 + sqrt(448)).
12 + 48*sqrt(7)
Simplify sqrt(324)/sqrt(3) - (sqrt(3) - (sqrt(243) + 4)).
4 + 14*sqrt(3)
Simplify (sqrt(153)/sqrt(3)*4)/(sqrt(54)/sqrt(2)).
4*sqrt(17)/3
Simplify (-1*(5 + sqrt(52)/sqrt(4)))**2*-1.
-38 - 10*sqrt(13)
Simplify (-6*sqrt(64) - sqrt(4))/sqrt(2) - (-1*(-5 + sqrt(8)/sqrt(4)))**2.
-27 - 15*sqrt(2)
Simplify (0 + (-1*sqrt(931))**2 + 3)*4.
3736
Simplify ((sqrt(27)*2 + sqrt(27))/sqrt(9) - sqrt(3))**2 - (1 + (1*sqrt(3))**2).
8
Simplify -4 + sqrt(240)/sqrt(12) + 5.
1 + 2*sqrt(5)
Simplify (5*sqrt(153)*2)/(sqrt(720)/sqrt(5)).
5*sqrt(17)/2
Simplify (-1 + sqrt(98) + sqrt(288) + 1 + sqrt(2))**2 - (sqrt(2) + (1 + sqrt(98) - sqrt(2)))*-1.
7*sqrt(2) + 801
Simplify (sqrt(187)/(sqrt(176) + (sqrt(176)*-2 - sqrt(176) - sqrt(176))))**2.
17/144
Simplify (-2*sqrt(7))**2*4 - (5 + -2 + sqrt(7)).
-sqrt(7) + 109
Simplify (sqrt(216)*-2 + sqrt(216))/sqrt(8)*6.
-18*sqrt(3)
Simplify (((sqrt(5040) - (sqrt(5040) - sqrt(5040)*3)) + sqrt(5040))/sqrt(7)*4)**2.
184320
Simplify 0 + (sqrt(475) - (sqrt(475) - (2 + 3*sqrt(475)))).
2 + 15*sqrt(19)
Simplify (sqrt(637) + -1 + sqrt(637))**2 + sqrt(637) - (sqrt(52)/sqrt(4) + -4).
-22*sqrt(13) + 2553
Simplify (sqrt(720) - (2 + sqrt(720)))*6.
-12
Simplify sqrt(832)*2 + 1.
1 + 16*sqrt(13)
Simplify ((sqrt(2112)*-1 - sqrt(2112))/sqrt(11))**2.
768
Simplify (-3*sqrt(325)*4)**2.
46800
Simplify sqrt(1216)*2 + sqrt(171)/(sqrt(72)/sqrt(8)).
17*sqrt(19)
Simplify (0 + -2*sqrt(7) - sqrt(700))**2.
1008
Simplify ((-1*sqrt(102) - sqrt(102))*2)/(sqrt(150) + 1*sqrt(150) + sqrt(150)).
-4*sqrt(17)/15
Simplify (sqrt(56)/(1*sqrt(72) + sqrt(72)))**2.
7/36
Simplify (sqrt(112) - (sqrt(112) - (0 + sqrt(112)*-2))) + 1.
-8*sqrt(7) + 1
Simplify (sqrt(17) + sqrt(17) + -1 + sqrt(17))*3 + 1.
-2 + 9*sqrt(17)
Simplify (-1*(-4 + sqrt(704) + sqrt(44) + 4))**2.
1100
Simplify 2*(sqrt(156) - 5*(-2*sqrt(156) + sqrt(156)))/(sqrt(1200) + -2*sqrt(1200)).
-6*sqrt(13)/5
Simplify (sqrt(81)*-2)/sqrt(3).
-6*sqrt(3)
Simplify (1 + -4 + 1*sqrt(252))*-6.
-36*sqrt(7) + 18
Simplify ((sqrt(11)*3)**2 + 4)*-5.
-515
Simplify ((sqrt(147) - (sqrt(147) + 1)) + sqrt(147))**2 + 5.
-14*sqrt(3) + 153
Simplify ((-4 + (sqrt(13) - (sqrt(13) + sqrt(13)*4)))*-1)**2*-4.
-896 - 128*sqrt(13)
Simplify (sqrt(187)*3)/sqrt(11)*4.
12*sqrt(17)
Simplify (sqrt(693)/(-1*sqrt(11)))/((sqrt(9) - 1*sqrt(9))*1 - sqrt(9)).
sqrt(7)
Simplify (-2*sqrt(112))**2*2.
896
Simplify ((sqrt(832) - (1 + sqrt(832))) + -5)**2.
36
Simplify (1*sqrt(325) + 1)*4.
4 + 20*sqrt(13)
Simplify sqrt(13) + sqrt(1053) + -2 + (sqrt(208) + 1*sqrt(208))**2.
10*sqrt(13) + 830
Simplify sqrt(2)*-1 + -1 - (-5 + sqrt(16)/sqrt(8)).
-2*sqrt(2) + 4
Simplify (2*sqrt(77)/(sqrt(22)/sqrt(2)))**2*1.
28
Simplify (4*-1*sqrt(209))/(sqrt(11)*-1*2).
2*sqrt(19)
Simplify (sqrt(36)/sqrt(3) - sqrt(12))*6*3.
0
Simplify sqrt(55)/(sqrt(77)/(sqrt(21)/sqrt(3))).
sqrt(5)
Simplify 6*sqrt(40)/sqrt(8) - ((sqrt(5) - (sqrt(5) + sqrt(80) + 0)) + sqrt(5)).
9*sqrt(5)
Simplify 0 + sqrt(11) + 2 + ((sqrt(121) + -2*sqrt(121))/sqrt(11))**2.
sqrt(11) + 13
Simplify (sqrt(500) - (sqrt(500) - 5*(sqrt(500) - sqrt(500)*-3 - sqrt(500))))**2 - 6*(1 + sqrt(500)).
-60*sqrt(5) + 112494
Simplify sqrt(32) + 4 + sqrt(800).
4 | {
"pile_set_name": "DM Mathematics"
} |
**7/21 - f**4/12 - 17*f**3/3 - 89*f. Find the third derivative of w(o) wrt o.
-600*o**3 - 240*o**2
Suppose -3*h + 45 = 27. What is the third derivative of h*f**3 - 8*f**2 + 12*f**3 - 6*f**2 + 0*f**2 wrt f?
108
Let u(q) be the second derivative of q**8/320 - 19*q**6/720 + q**4/6 - 2*q. Let n(y) be the third derivative of u(y). Find the second derivative of n(m) wrt m.
126*m
Suppose x = 5*d + 4, 5 = -2*x - 4*d + 13. Let z = 4 + x. What is the third derivative of 1 + 5 - 11*y**2 - 6 + z*y**6 wrt y?
960*y**3
Let g(o) = -164*o**4 - 5*o**3 - 198*o**2 + 10*o - 5. Let p(t) = -t**4 + t**3 - 2*t + 1. Let y(s) = g(s) + 5*p(s). Find the third derivative of y(l) wrt l.
-4056*l
Let p = 19 + -17. Find the third derivative of 6*k**p - 10*k + 3*k - 11*k**5 + 7*k wrt k.
-660*k**2
Let w(t) be the third derivative of 737*t**5/60 + 53*t**3/3 + 20*t**2 + 3*t. What is the first derivative of w(a) wrt a?
1474*a
Let s(b) = -8*b**4 + 77*b**3 + 326*b - 4. Let z(u) = -17*u**4 + 154*u**3 + 653*u - 9. Let j(v) = 9*s(v) - 4*z(v). What is the second derivative of j(p) wrt p?
-48*p**2 + 462*p
Find the second derivative of -991 + 613 - 11*j**2 + 2*j + 632 wrt j.
-22
Let h(q) = q**2 - 11*q + 3. Let y be h(11). Find the third derivative of -18*n**y + 13*n**3 + 37*n**2 - 13*n**2 wrt n.
-30
Let x(z) = -159*z**2 + 534*z. Let j(u) = 53*u**2 - 178*u. Let c(q) = -8*j(q) - 3*x(q). Find the second derivative of c(k) wrt k.
106
What is the second derivative of -469*f + 6*f**4 + 250*f**2 + 248*f**2 - 533*f**2 wrt f?
72*f**2 - 70
Let u be 3*4/4 - -11. Suppose 5*t - 16 = u. Find the second derivative of -2*q**5 + t*q - 3*q**5 + 0*q**5 wrt q.
-100*q**3
Let f = 57 + -53. What is the derivative of 5*l + 17 - 6*l**4 - 5*l + 15*l**f wrt l?
36*l**3
Let w(y) = -y**5 + 2*y**3 - 2*y + 1. Let m(g) = 3*g**5 - 241*g**3 + 5*g**2 - 5*g - 4. Let f(c) = -m(c) - 4*w(c). Find the third derivative of f(q) wrt q.
60*q**2 + 1398
Find the second derivative of 127*z**2 + 8860*z - 8918*z + 17*z**2 wrt z.
288
Let h = 29 + -25. What is the second derivative of -6*v + 5*v**4 - 2*v**4 + 0*v**h - 3*v wrt v?
36*v**2
Suppose 3*k = 2*k + 2. Suppose 10*q = -3*q + 52. What is the third derivative of -17*o**k - 4*o**q + 10*o**2 + 6*o**2 wrt o?
-96*o
Let v(h) be the second derivative of h**5/5 + 65*h**4/12 - 39*h**3 - 623*h. What is the second derivative of v(g) wrt g?
24*g + 130
What is the second derivative of 3*g**5 - 64*g - 14*g**5 + 2*g**5 + 47*g**5 wrt g?
760*g**3
What is the third derivative of -39 - l**3 - 6*l**2 - 47 + 74 wrt l?
-6
Let m(d) = 31*d**3 + 4*d**2 + 9*d - 39. Let i(p) = 92*p**3 + 11*p**2 + 25*p - 118. Let r(c) = -4*i(c) + 11*m(c). Find the second derivative of r(v) wrt v.
-162*v
Let m(k) be the second derivative of 24*k**7/7 - 25*k**4/6 + 156*k + 1. Find the third derivative of m(n) wrt n.
8640*n**2
Let r(y) be the second derivative of 159*y**8/28 + 761*y**4/12 - 17*y + 4. Find the third derivative of r(z) wrt z.
38160*z**3
Let b(v) = -2*v**3 + v**2. Let q(d) = 9*d**3 - 21*d**2 + 16*d + 1. Let i(s) = 5*b(s) + q(s). Find the second derivative of i(u) wrt u.
-6*u - 32
Let n(k) = 5*k**2 + 2*k. Let m(t) = 424*t**2 - 2*t - 711. Let j(z) = -m(z) - n(z). Differentiate j(g) wrt g.
-858*g
Let v(b) be the second derivative of -b**5/2 - b**4/3 - b**3/6 + 97*b. Find the third derivative of v(s) wrt s.
-60
Find the second derivative of 364*n**2 + 28 - 141*n - 87*n + 7*n - 12 - 14 wrt n.
728
Let d(p) = 3*p + 10 - 2*p**2 - p**2 - 7 + 25. Let r(b) = -b + 1. Let n(t) = d(t) + 3*r(t). Differentiate n(x) with respect to x.
-6*x
What is the derivative of 44*b + 40*b - 114*b**4 - 13*b**4 + 204 - 84*b wrt b?
-508*b**3
Let o(l) be the first derivative of 5*l**4/12 - 11*l**2/2 - l + 8. Let u(w) be the first derivative of o(w). What is the first derivative of u(m) wrt m?
10*m
Let w(s) = -91*s**2 + 104*s + 2. Let p(q) = q**2 - q - 1. Let t(c) = 4*p(c) + w(c). What is the second derivative of t(b) wrt b?
-174
Find the first derivative of -92 - 57*m**2 + 14 - 59 + 85*m**2 + 86*m**2 wrt m.
228*m
Let r = -30 - -43. Suppose -d = -r + 4. What is the first derivative of 32*t - 3*t**2 - 32*t + d wrt t?
-6*t
Let z(o) = -15*o - 5. Suppose 5*b + i - 1 + 12 = 0, 3*b + 3*i = -9. Let q(u) = u + 1. Let s(j) = b*z(j) - 6*q(j). What is the derivative of s(f) wrt f?
24
Suppose -6*o = -11*o + 25. Find the first derivative of o*p + 12*p + 9 + 2 + 10*p wrt p.
27
Let p(z) be the first derivative of -z**5/4 + z**3 - 29*z - 6. Let k(u) be the first derivative of p(u). Find the second derivative of k(y) wrt y.
-30*y
Let p be 2/(-3)*105/(-14). What is the third derivative of 11*z**2 - 7*z**4 - p*z**4 + 4*z**4 wrt z?
-192*z
Let o(q) = 10*q + 2 + 0*q - 4 - 2*q**3 + q. Let b(y) = -y**3 + y. Let r(s) = 22*b(s) - 2*o(s). Differentiate r(i) with respect to i.
-54*i**2
Find the third derivative of -3*v**2 + v**3 - 860*v**6 + 0*v**2 - 3*v + 859*v**6 wrt v.
-120*v**3 + 6
Let k(n) = -n. Let o(h) = -107*h**2 + 5*h + 114. Let t(m) = -5*k(m) - o(m). Find the first derivative of t(j) wrt j.
214*j
Let a(h) = -58*h + 44. Let d(f) = -19*f + 15. Let u(t) = -3*a(t) + 10*d(t). Let j(q) = -q. Let s(l) = 2*j(l) - u(l). What is the derivative of s(y) wrt y?
14
Let p(c) = -331*c**2 - 2*c + 1267. Let t(a) = 162*a**2 + a - 633. Let q(b) = 2*p(b) + 5*t(b). Differentiate q(s) wrt s.
296*s + 1
Let d(m) be the third derivative of 0 + 18*m**2 - 1/3*m**3 + 0*m - 5/4*m**4. Differentiate d(o) with respect to o.
-30
Let h(x) be the first derivative of x**5 - 1/3*x**3 + 0*x + 0*x**2 - 8 + 0*x**4. Find the third derivative of h(s) wrt s.
120*s
Let k(q) be the first derivative of -5*q**4 + q**3/3 - 13*q - 53. What is the third derivative of k(r) wrt r?
-120
Let z(g) be the first derivative of 22*g**5/5 - g**4/4 + g**2 + 3*g - 93. Find the second derivative of z(j) wrt j.
264*j**2 - 6*j
Let x(f) be the third derivative of -37*f**4/3 + 133*f**3/6 + f**2 - 279*f. What is the first derivative of x(c) wrt c?
-296
Let b(p) = 301*p**4 + 11*p**3 + 28*p**2 - 7*p + 702. Let d(w) = -150*w**4 - 5*w**3 - 12*w**2 + 3*w - 351. Let i(t) = -3*b(t) - 7*d(t). Differentiate i(s) wrt s.
588*s**3 + 6*s**2
Let c(n) = -4*n**2 + 7*n - 72. Let p(t) = -6*t**2 + 6*t - 73. Let q(i) = -5*c(i) + 4*p(i). Differentiate q(d) with respect to d.
-8*d - 11
Let c be (8/(-6))/((-14)/21). Suppose -3*d - c*k = -22, 4*k = 4*d + k - 1. Find the second derivative of 7*z**4 - 3*z**4 - 6*z - 2*z + d*z**4 wrt z.
96*z**2
Let t(m) = 41*m**3 + 8*m**2 + 53*m - 7. Let j(d) = -21*d**3 - 4*d**2 - 27*d + 4. Let s(q) = -7*j(q) - 4*t(q). Find the second derivative of s(y) wrt y.
-102*y - 8
Find the second derivative of -2 + 13*h + 71*h**4 + 3 - 20*h - 3 wrt h.
852*h**2
Let w(o) be the second derivative of 0*o**2 + 4/3*o**3 + 0 + 21*o - 11/10*o**5 + 0*o**4. What is the second derivative of w(m) wrt m?
-132*m
Suppose -p = 5*m - 0*m - 12, -3*m = 2*p - 45. Find the second derivative of -k + p*k**4 + 20*k + 5*k wrt k.
324*k**2
Suppose -2*y = t + 3*y + 23, 3*y = -t - 15. Let r = 5 + t. What is the third derivative of -5*h**6 - 42*h**4 + 42*h**4 + h**r - 5*h**2 wrt h?
-600*h**3
What is the second derivative of 388 + 103*d + 3*d**2 + d**3 - 388 wrt d?
6*d + 6
Let x be 0 + (0*(-2)/(-6))/(-3). Find the third derivative of -18*b**2 + x*b + 4*b**3 + 11*b - 11*b wrt b.
24
Suppose 0 = 5*b + o, -2*b - o = 2*b. Let y(r) be the second derivative of 0*r**2 + b + 3*r + 1/12*r**4 + 5/6*r**3. What is the second derivative of y(a) wrt a?
2
Let b(c) = -c**2 - 7*c - 5. Let g be b(-4). Let w be -6*((-1)/3)/((-6)/(-12)). What is the first derivative of -7 + 2*k**4 + 1 - g*k**w wrt k?
-20*k**3
Suppose 12 = n + 4*c, 5*c - 15 = 2*n - n. Suppose -4 = -n*b - 2*b. What is the second derivative of -4 + 4 - 6*r - r + b*r**2 wrt r?
4
Let x(r) be the third derivative of -2*r**7/105 - r**4/12 - r**3 - 62*r**2. What is the first derivative of x(w) wrt w?
-16*w**3 - 2
Let o(k) be the first derivative of -7*k + 9 - 3/2*k**4 + 0*k**2 + 0*k**3. Find the first derivative of o(z) wrt z.
-18*z**2
Let d(m) be the third derivative of -2*m**7/21 - 41*m**3/6 + m**2 - 20. Differentiate d(a) with respect to a.
-80*a**3
Let k = 33 - 31. Suppose 0 = 2*j - 3 - 1. Find the third derivative of 4*n**k - j*n**3 - 6*n**2 - 2*n**3 wrt n.
-24
Let m(o) = 2*o - 12. Let i be m(9). Differentiate q + 2 - 4*q | {
"pile_set_name": "DM Mathematics"
} |
(-10)*(-8)/6. Let i be 4/z*(12 - 5). Sort 5, 0, i.
0, i, 5
Let b = 4.39 + -0.39. Let t = 0 + -0.2. Put 0.05, t, b in descending order.
b, 0.05, t
Let c = -12 + 17. Let z = 14.4 - 14. Put c, -2, z in increasing order.
-2, z, c
Suppose n - 2*r = -4*r - 5, -3*n + 1 = -2*r. Let h be 3/3 + n - -1. Put h, 0, -3 in descending order.
h, 0, -3
Let u(l) = -l**3 - 5*l**2 - 7*l - 3. Let o be u(-3). Let c(w) = -w**2 + 9*w + 1. Let y be c(9). Sort y, -2, o in decreasing order.
y, o, -2
Let z be ((-36)/16)/(-3)*-1. Put -0.3, z, -0.1 in ascending order.
z, -0.3, -0.1
Let g be 4 + (-4 - -5 - 8). Put -1/11, 4, g in ascending order.
g, -1/11, 4
Suppose g + 5*j = 24, 3*g - 3*j = -g + 96. Let n be g/(-13) + 10/(-65). Let b be n/24*(-1 - 1). Sort b, 5, -1 in descending order.
5, b, -1
Suppose -3*b - 2*b = -20. Suppose -7*i + b = -3*i - 3*s, 5*s + 1 = i. Let l = -2 - -5. Sort 5, l, i in decreasing order.
5, l, i
Let c = 45 - 51. Put 5, -1, 4, c in decreasing order.
5, 4, -1, c
Suppose -f - 4 + 13 = 3*t, -2*f = 0. Let i = 8 - 3. Let d(q) = -q**2 + 6*q - 3. Let j be d(i). Put 5, t, j in descending order.
5, t, j
Let h(g) = -4*g - 1. Let r be h(-1). Put 1, r, 0 in increasing order.
0, 1, r
Let m = -0.2 + -0.8. Sort -2, -3, m in decreasing order.
m, -2, -3
Let z be 2/(1/((-4)/(-2))). Sort z, 1, 5.
1, z, 5
Let r = -8.1 + 8. Sort r, 5, -5.
-5, r, 5
Let w = 10 - 11. Let a be w - 0*1/2. Let c be (-3)/(-30)*a*-2. Sort 1, 2/3, c in ascending order.
c, 2/3, 1
Let a be 4 - 20/((-15)/(-3)). Put a, 4, -9, -3 in decreasing order.
4, a, -3, -9
Let z = -0.03 - -2.03. Let n = -12 - -5. Let b = z + n. Put -1/6, b, 4 in decreasing order.
4, -1/6, b
Let f = 2 + -2. Let p = -2 + 3. Let y be 1 - (p + 1/4). Sort -1/9, y, f.
y, -1/9, f
Let r = 0.2 + -0.1. Let h = 6 - -9. Let o = -11 + h. Put o, 1, r in ascending order.
r, 1, o
Let o = 9 - 4. Put o, -3, -1 in descending order.
o, -1, -3
Let x be -1 + (-4)/2 - 0. Put 5, x, 0.4, 0.3 in decreasing order.
5, 0.4, 0.3, x
Let u = -355 + 350. Let f(t) = -t**3 + 2*t**2 + 2*t + 1. Let k be f(-1). Suppose -k*m + 9 = m. Put m, u, 5 in ascending order.
u, m, 5
Let n = 41.5 + -42. Sort n, 1, 0.5 in descending order.
1, 0.5, n
Let y = -6 + 5. Let g = y - 3. Let p = 0.93 - -0.07. Sort g, -2, p in descending order.
p, -2, g
Let x = 6.7 + -7. Let g = -8 + 12. Let j = -3 + g. Sort 2/13, j, x in decreasing order.
j, 2/13, x
Let j(v) = -v**3 + 9*v**2 - v + 11. Let l be j(9). Let a = 0 + 0. Let o be (a + (-3)/(-2))*2. Sort -2, l, o in decreasing order.
o, l, -2
Let m = 3 - 6. Let h = m - -3.4. Let p = 1.4 - h. Sort 4/5, -3, p in decreasing order.
p, 4/5, -3
Let p(q) = q**2 + q + 14. Let g be p(0). Suppose -g = 5*l + 1. Sort l, 5, 0.1 in decreasing order.
5, 0.1, l
Let l = 13 - 17. Sort l, 11, 4.
l, 4, 11
Let c = -4.04 - -4. Sort 2, c, -2 in ascending order.
-2, c, 2
Let i = -1.4 - -1. Sort -4, 1, i in decreasing order.
1, i, -4
Let i = 1.7 - 0.8. Let s = 1.4 - i. Sort -2, -0.5, s in decreasing order.
s, -0.5, -2
Suppose -5*f = 2*u + 4, -3*u + f + 12 + 16 = 0. Let i be ((-21)/(-14))/((-6)/u). Sort 3, i, 2 in increasing order.
i, 2, 3
Let k be (-12)/(-9)*(-6)/(-2). Suppose -k*b + 4*s + 8 = 0, 4*s + 5 = -b + 4*b. Put 1, b, -1 in decreasing order.
b, 1, -1
Let c(w) = w**3 - 2*w**2 - 2*w. Let r be c(3). Let g be 0/1 - r/(-9). Sort 0.4, 0, g.
0, g, 0.4
Suppose -3*m + 4*w = 0, -6 = -5*w + 3*w. Suppose -2*s - 3 = 3*g, 3*g - 4*g + m = -s. Put g, -3/4, -1/8 in descending order.
g, -1/8, -3/4
Suppose 4 = -4*b + 8. Put -4, b, 3 in decreasing order.
3, b, -4
Let p(d) = d + 2. Let t be p(3). Let x(b) = b**2 + 5*b + 6. Let y be x(-5). Let v be ((-12)/9)/(2/y). Put t, -5, v in increasing order.
-5, v, t
Let j = 0 - -2. Let m = 12 + -8. Suppose m*g - 18 = j. Sort 4, g, 2 in decreasing order.
g, 4, 2
Let d be 1/((-1)/24*2). Let i be 15*((-4)/d + -1). Sort -0.1, i, 3/4 in decreasing order.
3/4, -0.1, i
Suppose -4*v + 6 = -v + p, -4*v - 5*p = -8. Let z(n) = 2*n + 1. Let u be z(v). Put -5, 4, u in ascending order.
-5, 4, u
Let s = -43 + 43. Put -1/10, s, 12 in decreasing order.
12, s, -1/10
Suppose 0 = -3*h + 2*i + 8, 2*h + 0 - 6 = 2*i. Let z be 1 + -1 + h + 9. Suppose 0 = 6*g - z*g + 15. Sort -3, g, 5 in decreasing order.
5, g, -3
Let o(w) = -w**2 - 4*w + 1. Let r be o(-3). Suppose -3*x + r = 3*i + 1, 10 = -5*x. Put 4, i, 0.4 in decreasing order.
4, i, 0.4
Suppose -5*c + 1 + 9 = 0. Sort -0.1, c, 0.2, 2/15.
-0.1, 2/15, 0.2, c
Let j = 4 - 7. Let y = j - -4. Suppose 4*n = 9 - y. Sort 5, -4, n in descending order.
5, n, -4
Let h = -0.61 + 0.11. Put 5, 5/4, h in increasing order.
h, 5/4, 5
Suppose 5*r - 11 = -i, 0 = -2*i + r - 2*r - 5. Suppose 0 = -11*o + 6*o - z + 24, z + 21 = 4*o. Put o, i, 2 in increasing order.
i, 2, o
Let d = 3 - 1. Suppose -d*h - 4*l + 6*l - 2 = 0, 5*l + 20 = 0. Sort 5, -4, h in increasing order.
h, -4, 5
Let b be 1 - (0 - -6*3/(-6)). Sort 0, 0.4, b, -3/11 in increasing order.
-3/11, 0, 0.4, b
Suppose 0 = 4*k + 3*p - 52, 0 = 3*k + 2*p + 2*p - 46. Suppose 4 = -2*c + 2*n, 2*c + k = -n - 0*n. Let s = -1.1 - -0.8. Sort s, 5, c in descending order.
5, s, c
Let l = 1.24 + 0.8. Let b = 0.04 - l. Sort b, -0.5, 0.3 in decreasing order.
0.3, -0.5, b
Suppose 4*d = -2*b - 4 + 22, 5*b + d = 0. Sort 2, b, 5.
b, 2, 5
Suppose -a - 2*d - 4 = 0, d = -0*a - 3*a + 8. Suppose -z = 2*t + 2, -8 = a*z - 4*t + 12. Put 0, z, 1 in descending order.
1, 0, z
Let a = 4.6 + -0.6. Let w = 54.7 + -47. Let t = 8 - w. Put t, a, 3 in decreasing order.
a, 3, t
Let z = 101 + -106. Put 3, z, -2 in descending order.
3, -2, z
Suppose -5*s = -4*n - n - 45, -4*s + 3*n = -32. Suppose 4 = -s*u + 29. Suppose 2*w = t + u, w + 0*w = 2*t + 1. Sort t, 4, -2 in decreasing order.
4, t, -2
Let s = 6 - 6. Suppose -5*b + 15 = -3*f, 2*b - 6 + s = 5*f. Put -2/7, b, 4 in decreasing order.
4, b, -2/7
Suppose -5*a - 18 = -3*s, -5*a = -10 + 25. Let x(d) = -d + 2. Let q be x(6). Sort q, s, 4 in decreasing order.
4, s, q
Let m = 10.1 - 10. Sort 0.4, m, -1/4.
-1/4, m, 0.4
Let v = 0 + -0.2. Let n = 496109/66 - 7517. Let x = -3/22 + n. Put -3, x, v in increasing order.
-3, x, v
Let s = -0.34 - -0.44. Put -0.06, -2, s, 1 in ascending order.
-2, -0.06, s, 1
Let d be -1 + 4*1/1. Let f = 153 - 154. Sort d, 1, f.
f, 1, d
Let o(q) = q**3 - q - 5. Let g be (-4)/8*(4 + -4). Let v be o(g). Sort v, 4, 6.
v, 4, 6
Let y = -65 - -70. Sort 2/3, 1/5, 1, y in increasing order.
1/5, 2/3, 1, y
Let m(f) = f**3 + f**2 - 2*f - 5. Let g be m(0). Put g, -2, -3 in increasing order.
g, -3, -2
Let z(b) = -4*b**3 + 2*b**2 - 1. Let u be z(1). Let i = -3 - u. Suppose -4*j = -0*j + 12. Sort -2, j, i in increasing order.
j, -2, i
Let n be (3 + -5)/((-34)/(-2)). Let u = 3.42 + -0.42. Sort n, u, -1/7 in decreasing order.
u, n, -1/7
Let y = 18 - 17. Sort y, 3, -1 in ascending order.
-1, y, 3
Let a = -12 + 6. Let m = -2 - a. Suppose -2*t = 4 + 4. Sort -5, t, m in decreasing order.
m, t, -5
Let j(r) = -2*r - 9. Let h be j(-3). Let b = -1 - h. Suppose 3*t + 2*u - 1 - 2 = 0, 3*t + 5*u - 12 = 0. Sort b, t, 5 in decreasing order.
5, b, t
Suppose -4*m + 2 = 6. Suppose -6*w + w = 4*r + 3, -21 = -4*r + 3*w. Suppose 4*b + 2*v = 2 - 8, 0 = -3*b - r*v. Put b, m, -2 in ascending order.
b, -2, m
Let g = 13 + -9. Let p be -2 + 4 + 0 + (2 - 2). Sort g, p, -3.
-3, p, g
Let g be (5/((-10)/6))/(-3). Let s be g/(3*4/12). Sort -3, s, -7 in ascending order.
-7, -3, s
Suppose 0 = -4*x + 35 + 81. Suppose 5*f = 3*g + 19, 2*g + 5*f - x = -0. Suppose g*u - 1 = -3. Sort 1, 2, u.
u, 1, 2
Let g be (-1 - -1)/(8 + -12). Put -4, 4, g in descending order.
4, g, -4
Let u = 6 + -6.3. Let m = u + 0.6. Put 0.4, 3, m in descending order.
3, 0.4, m
Let l = 78 + -389/5. Let r = -23 - -34. Let z = r + -6. Sort z, 0, l.
0, l, z
Let m(w) = 2*w - 2. Let q be m(3). Let k = -86 - -260/3. Put k, -0.4, q in decreasing order.
q, k, -0.4
Suppose 6 = -6*d - 0. Suppose -5*y = -s + 23, y + 0*y = -s - 7. Put s, 2, d in decreasing order.
2, d, s
Suppose 5*t = 8 + 17. Sort -5, 4, t, -3 in increasing order.
-5, -3, 4, t
Suppose -r = 13*r - 56. Let g be 2/(-2)*0 + -2. Put g, -3, r in increasing order.
-3, g, r
Let u(v) = 6*v**2 - v**2 - 2 + 8*v**3 - 9*v**3 + 7*v. Let g be u(6). Put -1, g, 2 in ascending order.
-1, 2, g
Let x be 4/(-18) - 14/18. Let l(f) = f**2 + 4*f + 2. Let u be l(-4). Put u, x, -2 in descending o | {
"pile_set_name": "DM Mathematics"
} |
-298907.35
Product of 12 and -200496.
-2405952
Product of -1.10992 and -146.25.
162.3258
-1.16 * 407672
-472899.52
Calculate 0.53*249.338.
132.14914
-732.42*-0.03486
25.5321612
Calculate 537875*976.
524966000
Work out -0.1736393 * -3.
0.5209179
What is the product of 0.978 and 6262?
6124.236
Multiply -1162101 and -312.
362575512
-2447 times -36.8
90049.6
Product of -2.3321701 and 0.5.
-1.16608505
629837 times -0.028
-17635.436
Product of -124056 and -0.101.
12529.656
753 * 55778
42000834
0.53047 * -710.1
-376.686747
What is the product of -2787000.7 and -2.5?
6967501.75
What is the product of -6729182 and 14?
-94208548
Work out -178337 * -5110.
911302070
Work out -0.4 * 704885.
-281954
What is the product of 960 and 68854?
66099840
Multiply 27 and 1263772.
34121844
What is the product of -0.055 and -3010.7?
165.5885
What is the product of 8.66 and -233.42?
-2021.4172
What is the product of 0.37 and 1257327?
465210.99
What is 774546355 times 0.1?
77454635.5
-0.1693*1074
-181.8282
Product of 40510.25 and -2.7.
-109377.675
Work out 1185 * 3318.
3931830
Product of -0.3 and 65889.
-19766.7
Multiply 16535261 and -0.13.
-2149583.93
Work out 4264525 * 0.25.
1066131.25
Calculate 0.42*-2846.2.
-1195.404
What is the product of -0.0839 and 8.18509?
-0.686729051
Multiply -299 and -113689.
33993011
-0.5 times -0.29241
0.146205
Work out -1.41463011 * 0.1.
-0.141463011
-0.01*0.06918083
-0.0006918083
Work out -0.1 * 3129138.
-312913.8
Work out -0.4 * 2792.172.
-1116.8688
Product of -39.7886 and -0.526.
20.9288036
What is the product of -455 and -48319.6?
21985418
Product of 8.9 and 0.6467.
5.75563
What is 113042 times -0.1064?
-12027.6688
What is the product of -2049463 and -1?
2049463
-9*-641614
5774526
Multiply -5799.9 and -1.364.
7911.0636
Calculate -41100.74*-70.
2877051.8
What is -29259.76 times 2.24?
-65541.8624
13.1342 times 28
367.7576
Work out -7 * 1915605.
-13409235
Product of -88 and -202.265.
17799.32
Product of -66338 and -1848.
122592624
What is the product of -838068794 and -0.2?
167613758.8
What is 4 times -38.7816?
-155.1264
Product of -0.2 and -536064.4.
107212.88
Multiply 46 and -454.9.
-20925.4
What is 4.693 times -0.58?
-2.72194
What is the product of -29799.67 and -0.01?
297.9967
What is the product of 52160.55 and -0.4?
-20864.22
Work out 2.1218488 * -5.
-10.609244
-10763.53*-1
10763.53
Product of 5696257 and 1.6.
9114011.2
Multiply -144.1 and 11.003.
-1585.5323
0.2 * -0.288472716
-0.0576945432
What is the product of 1.5 and 4382.023?
6573.0345
5927455.7 * -5
-29637278.5
Multiply -590 and -33650.
19853500
13569 * 300
4070700
1378354*-0.19
-261887.26
What is -1636 times -7794?
12750984
What is the product of 77764 and -102?
-7931928
Calculate 17320021*0.2.
3464004.2
Work out 1626468 * 47.
76443996
-358162 * 0.604
-216329.848
9914.5 times -43
-426323.5
What is the product of -2552 and 767?
-1957384
-0.3*-17469446
5240833.8
-1.9 times -2718401
5164961.9
1 * 0.01627913
0.01627913
227144*-0.22
-49971.68
Calculate -0.35611*-2131.
758.87041
Product of 8794105.9 and 0.1.
879410.59
0.28 times 3270.83
915.8324
103.05 times 11.9
1226.295
-0.60414 * -5198
3140.31972
Multiply -604 and 212.974.
-128636.296
What is the product of 6 and -849928?
-5099568
Product of 0.078832 and 20.95.
1.6515304
Multiply 22.077094 and -0.3.
-6.6231282
-0.1 times 29473.7
-2947.37
Multiply 533350 and 0.181.
96536.35
What is the product of -35731293 and -0.4?
14292517.2
0.0073*15551
113.5223
0.066 * -833765
-55028.49
What is the product of -537981.3 and 5?
-2689906.5
-0.07 times -2050995
143569.65
Multiply -0.9 and 0.00806526.
-0.007258734
What is the product of -0.3 and -7704976?
2311492.8
Calculate 214370377*0.2.
42874075.4
-67296 times -10.94
736218.24
-5837.4 * -0.66
3852.684
248003631 times -4
-992014524
Multiply -6016 and -0.951.
5721.216
-0.2 * 194500.05
-38900.01
What is -1009428 times -0.078?
78735.384
Multiply -3553 and -11137.
39569761
Work out 85807 * -315.3.
-27054947.1
Product of -0.07 and -0.15813748.
0.0110696236
What is 0.9 times -118049?
-106244.1
111776*-9638
-1077297088
Calculate 74*-3.30892.
-244.86008
Calculate -0.1*3191450.
-319145
Calculate -0.3*-1792284.
537685.2
-0.183 * 772.6
-141.3858
What is -0.02083 times 0.01391?
-0.0002897453
-1 * -1695651.46
1695651.46
Product of -2.2 and 4070845.
-8955859
Multiply 0.390894324 and 0.3.
0.1172682972
-3993 * -1034
4128762
What is the product of -2122 and -2795.23?
5931478.06
Product of -7.539608 and 12.
-90.475296
-0.032 * 8352
-267.264
-109142763 * 0.3
-32742828.9
Work out -51.83 * 1.07.
-55.4581
Product of -0.066 and 50.1.
-3.3066
Product of -1.0417 and 2441.
-2542.7897
-9831 times 0.1644
-1616.2164
Calculate 2*-5.31143.
-10.62286
3 * 41368.1
124104.3
0.06*8958515
537510.9
Calculate 9670263*-4.
-38681052
Work out -2.2 * -1581465.
3479223
What is the product of -2764 and -29.5?
81538
What is -175567 times -0.06?
10534.02
46067666*0.3
13820299.8
Product of -187884 and 44.55.
-8370232.2
Work out 0.309 * -0.32558.
-0.10060422
-1 times -12517112
12517112
Product of -11989819 and -14.
167857466
-344 times -3.44193
1184.02392
Multiply -144 and -484594.7.
69781636.8
Multiply -0.4 and 3.174824.
-1.2699296
Product of 13 and -862734.
-11215542
Multiply 217451 and 1433.
311607283
Work out -0.12 * 5071124.
-608534.88
Calculate 0.58*-0.622343.
-0.36095894
14354 * -1.83
-26267.82
-284 * -0.43629
123.90636
What is the product of -3.6 and -1952977?
7030717.2
Work out -795247 * -1.779.
1414744.413
1657381*60
99442860
What is -414.852 times -0.008?
3.318816
-1768478 times -2
3536956
144112 times -5.8
-835849.6
-1.2 times -35757
42908.4
-5 * -104139.34
520696.7
23 * 15.8103
363.6369
Product of 0.14 and 485967.
68035.38
Product of 0.7989 and -1.61.
-1.286229
Work out -2.3 * 2.916477.
-6.7078971
Work out 247626 * -0.034.
-8419.284
What is the product of 4286125 and -5?
-21430625
-29206498*1
-29206498
-11575.232 times 0.2
-2315.0464
Product of -0.3 and 11883680.
-3565104
Multiply -2814 and -33.5.
94269
What is -8.91 times -48676?
433703.16
What is the product of 27.3 and -129640?
-3539172
Multiply 1 and -4112355.
-4112355
Product of -9597.302 and 0.91.
-8733.54482
Calculate 1018.2*1.782.
1814.4324
Product of 104296 and -543.9.
-56726594.4
What is the product of 3 and 0.2730658?
0.8191974
What is the product of 15 and -27073953?
-406109295
Product of 4 and -62000024.
-248000096
What is the product of -1746206 and 17?
-29685502
Product of -2.79131262 and -0.01.
0.0279131262
What is the product of 2 and 75866150?
151732300
3728786 times 6.9
25728623.4
-73*680380
-49667740
What is the product of -0.3 and 307072?
-92121.6
Multiply -4.847 and -49218.
238559.646
What is the product of -74.3 and 11.9?
-884.17
Multiply 10.9 and 212605.
2317394.5
What is the product of -5.28 and -44167?
233201.76
Multiply -10 and -1056.068.
10560.68
Work out 27.1796 * 110.
2989.756
What is -383683 times 0.065?
-24939.395
What is 7472226 times -16?
-119555616
-135080*82
-11076560
1.30636 times 1.446
1.88899656
What is -2924 times -1540?
4502960
What is -49 times -4402.5?
215722.5
-0.095*57301
-5443.595
Calculate -68840579*0.2.
-13768115.8
What is 16.76 times -0.92973?
-15.5822748
Calculate 4.3*7414.
31880.2
0.5843112*0.03
0.017529336
Multiply 1.572311 and 0.3.
0.4716933
Multiply -13878 and 0.162.
-2248.236
Work out 7 * 4.7174043.
33.0218301
Calculate -53*529632.
-28070496
3*-199294.71
-597884.13
23425.95 * -4.5
-105416.775
6.7 * 250479
1678209.3
-4682 times -0.0304
142.3328
Multiply 655.28 and -1.12.
-733.9136
Product of -2635384 and -0.11.
289892.24
Product of -221218 and -91.
20130838
Multiply 999 and 0.3812.
380.8188
Multiply -3025278 and 0.07.
-211769.46
What is 0.3 times -4303738?
-1291121.4
What is 49981 times 0.186?
9296.466
Product of -8.143 and -0.97.
7.89871
-0.0584916 * -3174
185.6523384
What is the product of -320.771 and 22?
-7056.962
Work out -2023570 * -16.
32377120
What is 16 times -1473400?
-23574400
What is the product of 1369 and 68731?
94092739
What is the product of -55 and 15.2089?
-836.4895
Multiply -0.0642183 and 0.12.
-0.007706196
-0.5 times 2300417
-1150208.5
Multiply -2876088 and 0.13.
-373891.44
Calculate 0.2*-26954571.
-5390914.2
2*-375252840
-750505680
Calculate -0.2336*0.03375.
-0.007884
What is 100.3 times -497714?
-49920 | {
"pile_set_name": "DM Mathematics"
} |
False
Is -4465/4 > -1117?
True
Is -251 at most -499/2?
True
Are -319 and -339 equal?
False
Which is bigger: -1 or 1/1193?
1/1193
Which is bigger: -26 or 26/19?
26/19
Which is smaller: -11 or -0.9?
-11
Is 1/9 bigger than 34.4?
False
Which is smaller: -7 or 0.07?
-7
Is -161 less than or equal to -160?
True
Which is smaller: 0 or 13281?
0
Which is bigger: 461 or 38?
461
Which is smaller: -5 or 1?
-5
Which is greater: -595/12 or -51?
-595/12
Which is smaller: 1161/17 or 67?
67
Is 5807 less than 5807?
False
Is 7 < 79/10?
True
Is 0.2 less than -2.58?
False
Which is smaller: 2400 or 2398?
2398
Is 76 less than or equal to 70?
False
Which is smaller: 1106 or 1104?
1104
Is -825 greater than -829?
True
Are -15 and 36 nonequal?
True
Is 1 at least 424?
False
Which is smaller: -1 or 3/563?
-1
Which is smaller: 0 or 4/147?
0
Is 546 at least as big as 1640/3?
False
Which is greater: -20/1551 or -1?
-20/1551
Is -7 greater than or equal to -69/10?
False
Is -1/32 <= -0.1?
False
Is 3108 less than or equal to 3107?
False
Which is bigger: 1300 or 1309?
1309
Which is smaller: -10 or 21?
-10
Do 0.2 and 10 have the same value?
False
Which is smaller: 3564 or 3563?
3563
Is -606 at most as big as -606?
True
Which is smaller: 47 or 3?
3
Which is greater: 47 or 57?
57
Is -15/109 >= -1?
True
Which is greater: -745/17 or -45?
-745/17
Which is smaller: -25.321 or -1?
-25.321
Do -1 and -1/629 have the same value?
False
Which is smaller: -460 or -461?
-461
Are -136 and -2/5 non-equal?
True
Is 8858 bigger than 8856?
True
Which is greater: -335/4 or -84?
-335/4
Is -2/7 less than 173?
True
Is -4 smaller than -11?
False
Which is smaller: 570 or 568?
568
Do 584 and 566 have the same value?
False
Is -0.931 greater than or equal to -2/7?
False
Which is bigger: -70 or -66?
-66
Which is smaller: 13 or 176/13?
13
Which is greater: -9/5 or 29/2?
29/2
Is -7 >= -76?
True
Which is smaller: 2575/4 or 645?
2575/4
Which is smaller: -1/553 or -5/3?
-5/3
Which is bigger: 111 or 110?
111
Is -22/5 < 0?
True
Is -58 < 32?
True
Which is bigger: -0.2 or 80?
80
Which is smaller: 101 or -20?
-20
Which is smaller: -207 or 0.3?
-207
Which is smaller: 12/5 or 1?
1
Which is greater: -8942/15 or -597?
-8942/15
Which is smaller: -16381/4 or -4094?
-16381/4
Is -9/482 bigger than 0?
False
Is 2/3 > 9343?
False
Which is bigger: -7/2339 or 0?
0
Is -101/3 at most -20?
True
Which is smaller: 11121 or -2?
-2
Is -11 greater than or equal to 5?
False
Is -4 at most as big as -4/129?
True
Is 41.6 greater than or equal to 0?
True
Is 7386/7 < 1055?
False
Does 29 = -20?
False
Is -2/1027 at least as big as -0.5?
True
Is 231 at most 231?
True
Is -461 smaller than 1?
True
Is 138 less than or equal to 132?
False
Which is bigger: -329 or -330?
-329
Is 1 != 95/9?
True
Is 7993/2 bigger than 3998?
False
Which is smaller: 3766/13 or 290?
3766/13
Are -1 and 4/49203 non-equal?
True
Are -11 and 184 non-equal?
True
Is 1 >= 9/890?
True
Is 4718 at least 4714?
True
Does -49.33 = 2?
False
Which is smaller: -119 or -1542/13?
-119
Is 182/17 at most 12?
True
Which is smaller: 0.1371 or 2/9?
0.1371
Which is greater: 15.29 or 4?
15.29
Is 47 at most as big as 19?
False
Are -68/131 and 0 non-equal?
True
Which is greater: 2 or 2184?
2184
Which is bigger: -2/9 or -0.382?
-2/9
Is -736 bigger than -743?
True
Which is smaller: 0 or 2/41623?
0
Do 1164 and -2/43 have the same value?
False
Is -3636 greater than or equal to -3639?
True
Is -47 bigger than -794/17?
False
Is 9/325 at least 1?
False
Which is bigger: 0.4 or 6?
6
Is -99 <= -489/5?
True
Which is greater: -339/10 or -35?
-339/10
Which is greater: -47 or 4?
4
Is 3 smaller than 70/27?
False
Which is smaller: -340 or 2/5?
-340
Is 43/139 at least as big as -1?
True
Is 3338 less than 3339?
True
Which is bigger: 26 or -13?
26
Which is smaller: 293/2 or 146?
146
Is 4/4589 at least as big as 1?
False
Which is bigger: 5484 or 5486?
5486
Is -1380 not equal to -1379?
True
Is -1 != 2/21?
True
Is -3144 <= -3137?
True
Is -15.1 smaller than -0.9?
True
Is -1.547 != -1?
True
Is 205 greater than -0.001?
True
Is -216 at most as big as -218?
False
Which is greater: -1/89 or 0.4?
0.4
Is 1636 > 1635?
True
Which is smaller: -7 or 13?
-7
Is 32 less than 38?
True
Is 234 less than 232?
False
Which is bigger: 296 or 298?
298
Are 369 and 370 non-equal?
True
Is 39 smaller than 45?
True
Which is greater: 0.06 or -25?
0.06
Is -921 < -925?
False
Is 10 smaller than 35?
True
Is 1533 != 1533?
False
Which is smaller: -3/101 or 1/6?
-3/101
Which is greater: 83 or 84?
84
Which is smaller: -290 or -230?
-290
Which is smaller: 66 or 68?
66
Which is smaller: 518 or 517?
517
Which is smaller: -129 or -10?
-129
Which is bigger: -5.2 or 2?
2
Are -165/2 and -84 equal?
False
Is 35 less than 12?
False
Do 704 and 4219/6 have the same value?
False
Is -33 smaller than -87?
False
Is 207 <= -1?
False
Which is smaller: 2/33947 or 1?
2/33947
Which is greater: -2 or -6?
-2
Which is smaller: -1 or 78/1025?
-1
Is -7.77 not equal to 0.1?
True
Is 808 smaller than 808?
False
Is 450/83 less than or equal to 6?
True
Is 1800 equal to 3?
False
Which is greater: -695 or 0.2?
0.2
Is 4016 >= 4016?
True
Is -287 < -287?
False
Is -2 greater than or equal to 70?
False
Is 6/3469 < 0?
False
Is 16126 less than 16125?
False
Is -2152 at least -2/5?
False
Which is greater: 72 or 81?
81
Is 113 at most 107?
False
Is 2 bigger than 26/9?
False
Which is smaller: -19/68 or 0?
-19/68
Which is smaller: 1/136 or -52/5?
-52/5
Which is smaller: 362/5 or 73?
362/5
Which is bigger: 0 or -4/241?
0
Which is bigger: 6427 or 6423?
6427
Is 2/2847 less than or equal to -1?
False
Which is bigger: -1048 or -1051?
-1048
Is 0 smaller than 3/1804?
True
Which is smaller: 0 or -85/946?
-85/946
Which is smaller: 4/13 or -3/13?
-3/13
Is 3/92 equal to -182?
False
Which is bigger: 1/418 or -1?
1/418
Which is bigger: -5/81 or 0?
0
Which is bigger: 2 or 12?
12
Which is smaller: -2/46243 or 1?
-2/46243
Which is greater: 2/283 or -0.25?
2/283
Is 12 less than 4/29?
False
Is 18 less than 170/9?
True
Are 4841/4 and 1211 unequal?
True
Are -1213 and -10910/9 non-equal?
True
Which is greater: 142 or 139?
142
Which is smaller: -449 or -0.27?
-449
Which is greater: 28 or 19?
28
Which is greater: 1 or -22/499?
1
Is -65 < -850/13?
False
Which is smaller: 63 or 118?
63
Which is bigger: -2239 or -2234?
-2234
Is 2847 < 2846?
False
Which is greater: 2 or 4081?
4081
Which is bigger: -0.9 or 292?
292
Is 200 less than or equal to 17/4?
False
Is -2/25561 less than or equal to 1?
True
Which is greater: 2/3967 or 0?
2/3967
Which is bigger: 813 or 814?
814
Is -8/1625 at most as big as -1?
False
Which is bigger: -14 or -22?
-14
Which is greater: -3.16 or 2/9?
2/9
Are -4033 and -4033 non-equal?
False
Are 1 and 7/3305 non-equal?
True
Is -62/7 smaller than -10?
False
Is 9165 at least 9167?
False
Which is greater: -36 or -297/8?
-36
Which is smaller: 82 or -1?
-1
Is -2.5 at most as big as -2/11?
True
Is -4/373 greater than 0?
False
Are 3 and -28 unequal?
True
Is 1443 greater than 1442?
True
Is -1570 < -1570?
False
Which is smaller: 0 or -338/7?
-338/7
Which is smaller: 2.11 or 1?
1
Which is smaller: -1543/8 or -194?
-194
Which is smaller: 9670 or 9671?
9670
Is 54 < 57?
True
Is 8/221 < 0?
False
Is 0.005 greater than or equal to -13?
True
Which is smaller: -1 or 51?
-1
Which is smaller: -70/299 or -1?
-1
Which is smaller: -2 or 10?
-2
Which is greater: -16 or -164/11?
-164/11
Are -511 and -505 non-equal?
True
Is -18 > -12?
False
Which is greater: -52/7 or -7?
-7
Which is bigger: 0 or 3.04?
3.04
Is 4 > 77/16?
False
Is 3.1 greater than 156?
False
Is -2/35 != 0.73?
True
Is 7/36 less than 1?
True
Which is bigger: -6462/11 or -586?
-586
Is -6 greater than or equal to -23?
True
Which is smaller: -1 or 10/333?
-1
Is 767 at least as big as 771?
False
Which is greater: -23666 or -23667?
-23666
Is 191 at least as big as 196?
False
Which is smaller: 1/761 or 1?
1/761
Which is bigger: -0.2 or -181?
-0.2
Is 36 greater than or equal to 35?
True
Is -142/9 smaller than -17?
False
Which is smaller: 746 or 6710/9?
6710/9
Which is bigger: -2689 or -2691?
-2689
Is 16 at least as big as -9/5?
True
Which is smaller: -1 or 5/256?
-1
Is 5508 less than or equal to 5507?
False
Is -2/3099 >= 1?
False
Is 9261 equal to 9260?
False
Is 25 greater than 118/5? | {
"pile_set_name": "DM Mathematics"
} |
ded to one dp?
-0.1
Let j(x) = -x**2 + 12*x - 15. Let f be j(10). Suppose 3719995 = 3*u - f*g, 3*g = -4*u + 3401425 + 1558578. What is u rounded to the nearest 100000?
1200000
Let y = 4349.006774 + -4349. Round y to 4 dps.
0.0068
Let p = -26 - -25.875. Let u = p + 0.08. Round u to 2 decimal places.
-0.05
Let x be 208800/((-2)/((-44)/33)). Round x to the nearest ten thousand.
140000
Let b = -3.31 + 3.1499. What is b rounded to 3 decimal places?
-0.16
Let l = 13.2 + -13.1947. What is l rounded to four dps?
0.0053
Let o = -2052 - -2052.00000151. What is o rounded to 6 dps?
0.000002
Let z = -1.236 - 854.764. Let r = z - -855.99999583. Round r to 7 dps.
-0.0000042
Let f = -63527.9978 - -63514. Let m = -14 - f. What is m rounded to 3 decimal places?
-0.002
Let v = 2200.774 + -2199. What is v rounded to one decimal place?
1.8
Let i = 4.126897 + -4.122. What is i rounded to four decimal places?
0.0049
Let o = -0.179 + 0.014. Round o to 2 decimal places.
-0.17
Let p(i) = i**2 + 14*i + 3. Let b be p(-14). Suppose -3*k + b*s - 23409 = 0, 5*k + 23388 = 2*k - 4*s. What is k rounded to the nearest one thousand?
-8000
Suppose b - 69 = -4*v, 3*b = 4*v + v - 65. Suppose -v*d = -21*d - 115. Round d to 0 dps.
-23
Let j = 0.76 + 30.24. Let q = j + -32.7. Let a = -1.70015 - q. What is a rounded to four decimal places?
-0.0002
Let n = -1.3562 + 1.356211657. Round n to 6 decimal places.
0.000012
Let k = -10 - 1. Let i = k - -11.003. Let q = -0.05 + i. Round q to two decimal places.
-0.05
Let p be (-3)/12*0 + 16. Let g = p + -14. Suppose 18212864 = -g*w + 80212864. What is w rounded to the nearest one million?
31000000
Let m = 0.81 + 80.19. Let p = -221 + m. Let r = -140.59 - p. What is r rounded to 1 decimal place?
-0.6
Let f be -4 - -1*(-6)/3. Let v be f/(-8) + (-17101)/28. Round v to the nearest 100.
-600
Let t = 7886 + -7886.32904. Let d = 0.33 + t. What is d rounded to four dps?
0.001
Let r = 7.846 - -0.104. Let x = r + -1.67. What is x rounded to the nearest integer?
6
Let b = -238705267 - -545309976. Let c = b + -306604789.9999918. Let x = c - -81. Round x to 6 decimal places.
0.000008
Let s = 2828 + -2823.409. What is s rounded to zero decimal places?
5
Let z = -504.18 - -533. Let i = 32 - z. Let k = i + 0.02. What is k rounded to zero decimal places?
3
Let i = -12.25 - -12. Let c = i + 1.55. What is c rounded to the nearest integer?
1
Let g = -13.5 - -51. Let w = 69 - g. Let q = w + -43. Round q to zero dps.
-12
Let c = -0.541 + 0.54101596. Round c to six decimal places.
0.000016
Let y = 21.37 - 0.37. Let u = -2 + y. Let i = u + -21.6. Round i to 0 dps.
-3
Let l = 21 - 23.4. Let o = 2.26 + l. Let c = o + 0.140166. Round c to 5 dps.
0.00017
Suppose 2*z = z + 3, -5*z + 25560015 = 4*r. What is r rounded to the nearest one million?
6000000
Let u be (39/4)/((-8)/576). What is u rounded to the nearest 100?
-700
Suppose -2*d + 1102448 = -3*q, -4*d + 2*q + 2204908 = -q. Let c = d - 316458. Suppose y - c = -944772. What is y rounded to the nearest 100000?
-700000
Let y = 513 - 559.23. Let j = 46 + y. Round j to 1 dp.
-0.2
Let q(o) = -4 - 674*o**3 - 3*o**2 + 2*o**2 + 97*o**3 + 6*o**2 + o. Let k be (16/20)/((-2)/10). Let v be q(k). Round v to the nearest ten thousand.
40000
Let w = -1749301.61 - 8230.39. Let l = -1757531.44000046 - w. Let f = l + -0.56. What is f rounded to 7 decimal places?
-0.0000005
Let u be (-33)/(-6)*(3 + 57). Suppose 47 = d - 0*d + 4*z, z = -5*d + u. Round d to the nearest 10.
70
Let y = 169737.081 - 169901. Let j = -927 + 763. Let n = j - y. Round n to 2 decimal places.
-0.08
Let m = 55.942 - 56. Let i = -0.23 + 0.32. Let a = m + i. What is a rounded to 2 decimal places?
0.03
Let a = -4700919 + -9219081. Round a to the nearest 1000000.
-14000000
Let k = -5570 + 5565.462. Let o = 14.5 + -19. Let r = o - k. What is r rounded to 2 decimal places?
0.04
Let u = 0.105 - 37.505. What is u rounded to the nearest 10?
-40
Suppose 18601027 = 7*g - 177258973. Round g to the nearest one million.
28000000
Let r = -4.255 + -1.015. Round r to the nearest integer.
-5
Let u = -11.497 + -0.103. Let h = u + 13.52. What is h rounded to the nearest integer?
2
Let k = 11 + -11. Let d be 2 - k/3 - -1. Suppose 3*p - 1972 = 3*r + p, d*r - 4*p = -1964. What is r rounded to the nearest 100?
-700
Let i = -13636534.99999685 + 13636536. Let s = 1 - i. What is s rounded to seven decimal places?
-0.0000032
Let o(z) = -222350*z**3 - z**2. Let c be o(-1). Suppose 0 = -2*m - 1882349 + c. What is m rounded to the nearest 100000?
-800000
Let k(l) = -l**2 - 7*l - 7. Let j be k(-5). Let s(t) = 3*t**2 - 3 - 2*t**j + 4*t**2 - 2*t**2. Let d be s(4). What is d rounded to the nearest 10?
-50
Let d be 6/33 - (-140)/(-44). Let m be (-2)/(-6) - 14450/d. Let p = m - 7417. What is p rounded to the nearest 1000?
-3000
Let k = 103.3 + -104.998. Round k to the nearest integer.
-2
Let l = 7552.1 - 7200. What is l rounded to the nearest 10?
350
Let g = 0.35 - 47.35. Let u = -7888236 - -7888283.000155. Let w = g + u. What is w rounded to five decimal places?
0.00016
Let i = -0.80577 + 0.806. What is i rounded to three decimal places?
0
Let u = 1658 - -322. Let q = -2065.1 + u. Round q to the nearest ten.
-90
Let m = -554.0513 - -554. Let k = m - -0.1608. Round k to 2 dps.
0.11
Let y(r) = 17*r**2 - 1. Let k be y(1). Let w = k + -14. Suppose w*i + 2*i + 5360 = 0. What is i rounded to the nearest 100?
-1300
Let o = 33625 - 56925. What is o rounded to the nearest one thousand?
-23000
Suppose -2*w + 40345 + 139631 = 0. Suppose 0 = c + 4, -6*s = -s + 3*c - w. Round s to the nearest ten thousand.
20000
Let h = 104 + -104.00000855. What is h rounded to six dps?
-0.000009
Let h(i) = 829364*i**2 - 41*i + 12. Let l be h(-4). What is l rounded to the nearest one million?
13000000
Suppose l - 201763 = -5*j, 3*j = 3*l - 156518 - 448681. Suppose 898262 + l = -p. Round p to the nearest 100000.
-1100000
Let h = 190.2 + -199.09. What is h rounded to one decimal place?
-8.9
Let g = -60.16 + 61. Let i = -0.83999654 + g. What is i rounded to seven decimal places?
0.0000035
Let c = 147.9872 - 0.2272. Let p = -147 + c. Round p to 0 dps.
1
Suppose -s + x = -4*x - 680985, -5*s + 3404991 = -3*x. What is s rounded to the nearest 100000?
700000
Let x = -1492.000001362 - -1492. What is x rounded to 7 decimal places?
-0.0000014
Let d = 634.41 + -638. What is d rounded to 1 dp?
-3.6
Let r = 1368946 - 1392266.99968. Let f = r + 23324. Let h = f - 3. Round h to four decimal places.
0.0003
Let b = 65173.114 - 65261. Let l = b - -88. What is l rounded to two decimal places?
0.11
Let n = 11.08 + -0.08. Let s = n - 10.78. Let r = s + -0.2344. What is r rounded to three decimal places?
-0.014
Let b = 2915483222.3223115 - 2935808369.3223. Let k = b - -20325108. Let m = k + 39. What is m rounded to six decimal places?
0.000012
Let g = -233 - -232.797. Let j = 0.322 + g. What is j rounded to two dps?
0.12
Suppose -3*w = -5*u - 14, 2*w + u = -w + 26. Let m(r) = -35*r + 5. Let c be m(w). What is c rounded to the nearest 100?
-300
Let p be (-150)/(-45) + (-2)/(-3). Let w be p/(-3) - (-5349)/9. What is w rounded to the nearest one hundred?
600
Suppose -4*b + 828 = -10*b. Let o be (-204 + 4)/((-272)/b + -2). Round o to the nearest one thousand.
7000
Let t = -100963089 + 100963093.99999768. Let m = t - 5. What is m rounded to 7 decimal places?
-0.0000023
Let d = 10 - 11.9. Let z = d + 5.3. Let c = 3.3973 - z. What is c rounded to three dps?
-0.003
Let u = 16.81 - 8.54. Let s = -4.6 + u. Let z = s - 0.27. Round z to the nearest integer.
3
Let z(k) = 216*k**2 + 12 - 22*k**2 + 7*k**2 + 7*k - 6. Let q be z(-6). What is q rounded to the nearest 1000?
7000
Let n = -14.959993801 + 14.96. Round n to 6 decimal places.
0.000006
Let o = 59829260.5000018 - 59829269. Let s = -8.5 - o. What is s rounded to six decimal places?
-0.000002
Let u = -28324105382150875 - -28324105777869107.59999938. Let b = 395718228 - u. Let x = b + 4.6. Round x to seven dps.
0.0000006
Suppose -w - 3*j = -8, -2*w = -4*w + 2*j. Suppose -w*x + 5 = z, -x - 3*x - 5*z = -13. Let m be 1/x*0 - 560000. Round m to the nearest one hundred thousand.
-600000
Let w = 0.123404195 - 0.1234. What is w rounded to 7 dps?
0.0000042
Let a = -9.1 - -9.10005. What is a rounded to five dps?
0.00005
L | {
"pile_set_name": "DM Mathematics"
} |
2.04. What is the nearest to 0 in g, 1/7, b?
1/7
Suppose -34*z - 178 = -8. Let s = -29/69 - -2/23. Which is the closest to s? (a) z (b) -2 (c) -3/7
c
Let z(u) = -4*u - 31. Let x = -73 + 66. Let h be z(x). Which is the closest to 1/3? (a) 1/4 (b) 12 (c) h
a
Let z = -1112860 - -10015742/9. Let b = 13/8 - 9/8. What is the nearest to -1 in z, b, -0.5, -15/2?
-0.5
Suppose -4*m - 5*f = 42, -15 = 2*f - 11. Which is the closest to -1? (a) 16 (b) 0 (c) m (d) -6
b
Let v = -1797.8 - -1798. Let a be (8/(-70))/(4/10). What is the closest to -2/3 in v, a, -6/5?
a
Let w = -71.47 - -70.87. What is the nearest to w in -2/87, -3, -0.4?
-0.4
Let m be (176/(-220))/((-42)/15). Let x = 2.7 + -3. Which is the closest to 16? (a) -1 (b) x (c) m
c
Let z = 8193/5 - 1639. What is the closest to -2/19 in 3, 0.5, -3, z?
z
Let i = 97/4 + -22. Suppose y - 4*p - 37 = 0, -18*p + 43 = 7*y - 19*p. Which is the closest to y? (a) -0.5 (b) i (c) -2
b
Let p be ((-3)/9)/((-7)/(-12)) + (-1881)/(-2079). Which is the closest to 0.1283? (a) p (b) -5/4 (c) -1
a
Let h = 24 - 16. Suppose 20 = -3*i + h*i. Suppose -5 + 5 = -i*k. What is the closest to -0.14 in 0.2, -5, k?
k
Let f be (-17)/(-5) - ((-18)/(-15))/3. Suppose -3*s - c - 12 = -5, 1 = f*s + 5*c. What is the closest to 0.1 in -2/9, 0.04, s?
0.04
Let f = 1978 - 1978.5. Which is the closest to -2? (a) f (b) 5 (c) 4 (d) 151
a
Let k = -1.1 + 1. Let z = 177508 + -177508.5. Which is the closest to k? (a) 3 (b) 2/11 (c) 3/4 (d) z
b
Let j = -3262.267 - -3264. Let z = j - 1.7. Let s = z - 2.033. What is the nearest to 0 in 3, -1, s?
-1
Let w be 105/10*12/(-21) + (-2512)/(-418). What is the nearest to -0.1 in -0.4, w, 1/2?
w
Let c = -15879 - -15880. What is the closest to 1/21 in -2/5, -2/11, 5, c?
-2/11
Let o = 1606 + -1615. What is the nearest to o in 2, -2, -0.2, -0.3?
-2
Let i = 187.2 - -4.8. Let p = 192 - i. What is the closest to -2 in -5, -0.4, p?
-0.4
Let w = 83/267 - -2/89. Let z = 1767/3080 - 1/440. What is the nearest to 0.4 in z, w, 2?
w
Let u = -1332 + 1314. What is the nearest to u in 0, -11/2, 0.4?
-11/2
Let v = -1377 + 1344. Let w = -1 + 1.2. What is the nearest to w in -0.3, v, 5?
-0.3
Let y = 177 - 176.9. Let r = -97 + 97. Which is the nearest to -2/3? (a) y (b) -7 (c) r
c
Let h = 7 + -6. Let t be (4 + 11/(-3))/h. Let f = 6/67 + -164/335. Which is the nearest to t? (a) f (b) -5 (c) -1/8
c
Let y = 17713 + -17715. Which is the nearest to y? (a) 4/3 (b) -3 (c) -0.1 (d) 8
b
Let p = -6.67 + 6.87. What is the closest to p in 132/7, -5, -0.3, 1/5?
1/5
Let x = 5/8 - 77/72. Let v = 36.3 - 36.2. Let w(m) = m. Let j be w(-5). Which is the closest to v? (a) 2/11 (b) x (c) j
a
Let i = -10438 - -10438.2. Which is the closest to i? (a) 0.2 (b) 2 (c) -25.5
a
Let h = -0.2229 + 1.2229. What is the nearest to h in -0.6, -23, 2/9?
2/9
Let h = 0.262 + -0.2155. Let v = 5.0465 - h. Which is the closest to -0.037? (a) -1/4 (b) v (c) 4/5
a
Suppose 3*a + 124 = -2*c, -2*c - 5*a = 53 + 67. Let p = c - -61. Let s = 0.08 + -0.18. What is the nearest to s in p, 1/2, -5?
1/2
Let t = 101.2 + -106.97. Let f = -0.77 - t. Let w be 10/20*1*4. What is the nearest to -2/5 in f, w, 0.2?
0.2
Let j = -52153 - -208613/4. Let t = -16228 - -340688/21. Let o = t + 38/7. What is the nearest to o in j, 2, 3/8?
3/8
Let w be 38/70 - (-6)/(-15). Let s be 1/(-9) - (-38)/114. Which is the nearest to s? (a) w (b) -2 (c) 3/20
c
Let x = 214.3 - 213.3. Which is the closest to -0.1? (a) x (b) 5 (c) -2/11 (d) 6
c
Let x = 0.03 + -0.08. Let r = x + -0.45. Suppose -8 = -k + 5*t, 1 = -2*k - 4*t + 3. What is the closest to 2 in r, k, -0.05?
k
Let k = 11291 + -11296. Which is the nearest to -11? (a) k (b) -2/11 (c) -60
a
Let u = -12219 + 12220. Which is the closest to 0.1? (a) u (b) 2/7 (c) -2 (d) -7
b
Let m be 28*39/(-72) + 15. Let i = 6 - 6. Suppose i = k - 3 + 4. Which is the closest to k? (a) m (b) -2/11 (c) -2/13
b
Let x be 220/(-50) - (-3)/((-6)/(-8)). What is the closest to -1/2 in 2/5, x, -7?
x
Suppose 7*d + 2*d = 18. Suppose 154*z - d = 152*z. What is the nearest to z in 4/7, 0.3, -2, -0.05?
4/7
Let r be 75/(-21) - (-7)/(294/24). Let u be -6 + 19/2 + r. Let d = -1/3 + -5/12. Which is the closest to u? (a) 2/19 (b) d (c) 4/5
c
Let t = -15 + 42. Let j = -7815.3 + 7815. Which is the closest to -0.1? (a) j (b) t (c) 0
c
Let q = -7.034 - -7.094. Which is the nearest to 2/7? (a) q (b) -9 (c) -1/7 (d) 5
a
Let x = -2417 - -2412. Which is the nearest to 1/2? (a) 147 (b) x (c) -3 (d) -0.4
d
Let i = -16315/4 + 1895555/468. Let o = i - -262/9. Let v = o - 14/39. Which is the nearest to 0.2? (a) v (b) -1/8 (c) 0
a
Let l = -38941 + 38941.1. Let i = 0 - 0.1. Let m = 2 + -2.1. Which is the closest to i? (a) l (b) 0.01 (c) m
c
Let w = 1.87 - -0.13. Let b = 87 + -349/4. What is the nearest to w in b, 2, 1?
2
Suppose 2397*f = 2385*f - 156. Which is the closest to -1? (a) f (b) 2/39 (c) 2
b
Let g = 0.454 - 0.254. Let w = 284 - 291. Which is the closest to w? (a) g (b) 1/7 (c) -0.3
c
Let k = 1.558 - 1.458. Which is the nearest to k? (a) -0.05 (b) 13/3 (c) 4
a
Let u be ((-2)/(-2))/((-30)/20). Let f = -1.54 + 1.44. What is the closest to f in u, 51, 4?
u
Suppose -9*h + 11*h = b - 53, 0 = b - 3. Let c be (1 - h/(-15))*12/40. What is the closest to -4 in c, -5, 2?
-5
Let q(l) = l + 5. Let x be q(0). Let y = 0.286793 - 0.186793. What is the closest to x in y, -3/5, 3, -3/2?
3
Let l = -7/110 - 3/22. Let a(s) = -s**2 + 21*s + 25. Let d be a(22). Suppose 5*v = -0*p + 4*p - 8, -4*v + d*p - 6 = 0. What is the nearest to 3 in l, v, -3?
v
Let l be 16785/18 - 4/2. Let p = l + -931. Let w = 26 - 103/4. Which is the nearest to 0.1? (a) -2 (b) p (c) w
c
Let x = -6140 + 6133. What is the closest to 1 in 1/4, -0.13, 0, x?
1/4
Let p be (3/((-75)/(-20)))/(31/((-1085)/42)). What is the closest to p in 0.19, -2/39, 0.1?
-2/39
Let h = 0.19 + -0.08. Which is the closest to -2? (a) 25 (b) h (c) -0.2
c
Let r = -24 + 2. Let o = -21.816 + -0.184. Let z = r - o. What is the nearest to z in 5, 0, -0.5?
0
Let y = 826 + -825.9. Let w = -113/1285 + -482463/197890. Let g = w + 2/77. Which is the closest to -4? (a) y (b) 5 (c) g
c
Suppose 35*r + 41 = -204. Which is the nearest to 1/3? (a) r (b) 2/3 (c) -1/5 (d) -11
b
Let u = -106486/3 + 35494. Let i = -15 - -16. What is the closest to i in 1/3, 3, u, 0?
1/3
Let p = -418 - -417. Let z = -204 + 205. Which is the nearest to p? (a) -0.2 (b) -2/7 (c) z
b
Let k = -2.05024 - 0.01876. Let t = -0.069 - k. What is the nearest to -2 in t, -3/10, 1?
-3/10
Let o = 12.77 + 0.23. Let a = 12.8 - o. Let y = 0.809 + 1.191. What is the nearest to a in 3/7, 4/7, y?
3/7
Let j be -34*((-13)/14 - (0 + -1)). Let x = j - -27/14. What is the nearest to -2 in x, 1/4, -3?
-3
Let g = -89 - -69.5. Let n = 23.5 + g. Which is the closest to 5? (a) 0.3 (b) n (c) -4
b
Let g = -913 - -915. Let f be 54/12*(-3)/9. Which is the closest to 3? (a) f (b) -1/7 (c) g
c
Let z be ((-88)/(-330))/(4 + (-26)/6). Which is the nearest to 13? (a) 3/4 (b) -0.3 (c) z (d) -3
a
Suppose 5*k + 3 = 5*q - 12, -k + 2*q = 8. Which is the closest to k? (a) 0.4 (b) -1/20 (c) 6
a
Let o = -203 + 114. Let m = 93 + o. Let v be (6 - 7) + 1*-1. Which is the closest to -2/7? (a) m (b) v (c) 5
b
Let x = -0.05 + 3.05. Let d = 6 - x. Suppose -23058*t = -22938*t. Which is the nearest to t? (a) 4 (b) d (c) -1/2
c
Let i = -141 + 143. What is the nearest to i in -2, 4, -141?
4
Let t = 5.453 + -5.523. Which is the closest to 0? (a) 9 (b) t (c) -0.5 (d) 1/5
b
Let j = 13943.62 - 13944. What is the closest to -2/3 in 0.39, 1, j?
j
Suppose 12*z = 31 - 7. Let p(g) = 2*g**3 - g**2 + 3*g - 6. Let u be p(z). Let l be 2*(1/u)/((-9)/18). What is the closest to 1 in -0.4, 6, l?
l
Let n = 1.6251 - 1.5251. What is the nearest to n in -0.794, 1/3, 5?
1/3
Suppose -39 - 151 = 190*t. Which is the nearest to 0? (a) 2/209 (b) 1/26 (c) t (d) -0.3
a
Let u = -14.2 + 13.2. Let f = 14.5 - 3.2. Let n = -7.3 + f. Which is the nearest to -0.2? (a) u (b) 5 (c) n
a
Let h = 27.25 + -27. Let j = h - 0.18. Let w = 0.45 - 0.75. Which is the closest to 0.2? (a) j (b) w (c) 5
a
Let x = 609 - 576.2. Let y = -30.8 + x. Which is the nearest to 2/9? (a) y | {
"pile_set_name": "DM Mathematics"
} |
1/4
(-260)/19890 + (-28)/(-119) + 23/(-225)
3/25
What is the value of 25/1210*((-6834)/170 + 41)?
2/121
What is the value of (-8977)/5593 + 216/1224?
-10/7
What is the value of -27 - 140/336*-66?
1/2
Evaluate (2147/(-19323))/((-14)/18).
1/7
Calculate (-378)/4 - 0 - (338283/(-134))/561.
-90
What is ((-1822)/43728 - 26/16)/((-2)/(-30))?
-25
What is (-54)/(-42) - 2 - -1419*(-162)/4158?
-56
54/63 + 8/28*-3 + (-12)/(-126)
2/21
What is 3 - 0 - ((-3528)/161 - 325/(-13))?
-2/23
What is the value of -49 - (136/(-20 - -3) - 9)?
-32
What is the value of 32 - (-72)/84*-7?
26
(45/(-21))/((-11370)/1516)
2/7
What is (27/(-1107))/(28/84)?
-3/41
What is ((-4)/(-50))/(113/1130) - 288/435?
4/29
What is 2/(-5)*(-6032)/416*(-5)/(-3)?
29/3
What is ((-4)/7)/((22/(-4))/(1589/(-2724)))?
-2/33
149/5 + ((-27)/6)/(3912/13040)
74/5
What is ((-14)/(-4)*37)/((47775/(-70))/(-195))?
37
What is the value of 1/((25/(-1220))/((-17)/(-544)*-40))?
61
What is the value of 23030/3948*534/260 - (-1 + 13)?
-1/52
What is 25 - ((-242764)/(-3014) - (-20)/44)?
-56
Evaluate (3 - 1842/(-27)) + (80/168)/((-705)/329).
71
Calculate (-722)/11191 - 1110/93.
-12
What is 0 + (2916/(-39) - 12/52 - -21)?
-54
What is (48/(-104))/(((-24)/(-32))/(9*(-130)/3360))?
3/14
(11/(-22) + 114/380)*23
-23/5
What is the value of (-2*18/12)/(-44 + 23998/546)?
63
Calculate ((-635)/(-15) - 24)*(-1 + 4 + (-310)/100).
-11/6
-2 + 0 + 0 + 3 + 1645/47
36
What is the value of -3 + 8670/105 + -24 + (-4)/7?
55
Evaluate 1*((-2)/(-45))/((-49)/(-2058)*-7).
-4/15
Calculate (4 - (-86)/(-26))*1392/(-4176).
-3/13
Evaluate 7137/(-305) - (-880)/200.
-19
What is the value of 2/(-11) - (601/990 - (-1775)/17750)?
-8/9
What is the value of ((-65)/(-15))/(60/54 - (-182)/(-126))?
-13
What is the value of (-42465)/720 + 117 + -58?
1/48
What is the value of (-51)/(1 - 18) - (-210)/(-15)?
-11
What is the value of 0 + 1 + -1 - ((-1680)/24 + 106)?
-36
Evaluate ((-55)/(11220/4272) + 21)*-2.
-2/17
What is the value of 5/19*(11/30 - (-1254)/(-4180))?
1/57
Evaluate 118/(-154) + ((-20 - 0) + 8 - (-3154)/266).
-10/11
Calculate -5*(-174)/(-261)*(-33)/4070.
1/37
-124 + (109 - 33) + -6
-54
Calculate (-3038)/252 + 12 - (-31)/(-2790)*-1415.
47/3
((-7777)/(-1470) + 128/(-24))/(4/20)
-3/14
Calculate (((-168)/(-49))/2)/((-10)/(30240/(-81))).
64
What is (28/3)/((-1)/6*-2*75/45)?
84/5
Evaluate (-15)/(-19) + -1 + 15266/(-8531).
-2
Calculate (-16128)/256 + (-66976)/(-1064).
-1/19
What is the value of 66/64 - 2647/84704?
1
What is 6539130/78246 - 5/(25/15)*(-2)/14?
84
What is the value of ((-392)/(-14) + -51 + 20)*12?
-36
Evaluate (304/(-114))/(165/22 + 1/(-6)).
-4/11
Calculate 61530/16408*(-440)/15.
-110
What is the value of 10 - (-12948)/(-180) - (17 + 1270/(-75))?
-62
Evaluate 5/((-60)/(-56))*525/245*3/114.
5/19
What is -6*621/162 - -18 - (17 + -2 - -5)?
-25
What is the value of 25 - (13/(-13) - -13) - (13 - -1)?
-1
(10/(-115))/((1848/(-46))/21)
1/22
Calculate (14*8/240)/(2/(-120)*-12).
7/3
Calculate (-55*11/110)/(10/(-1560)*-26).
-33
What is (6 + (-3335)/551)/((-8)/(-16))?
-2/19
What is 99/((-34056)/430) - 454/8?
-58
136/(-2380) + 976/(-70)
-14
((-7)/(-161))/(-47*(-16)/1504)
2/23
Evaluate 2 + (1509*(-3)/2070 - (-4)/40).
-2/23
Evaluate (-697953)/31870 - (-22)/(-20).
-23
Evaluate (-9)/6 - ((-900251)/16502 - 10/(-185)).
53
What is the value of -1 - -31 - 474832/18108?
34/9
What is the value of -3 - (19 - (43 + (-12 - -21)))?
30
What is the value of 10/45*(-1)/(34 + 1357/(-69))?
-2/129
What is the value of ((-1932)/(-126))/(-46)*9/20?
-3/20
What is (-20 + 1309/66)*-54 - (4148/(-115))/(-4)?
-2/115
Evaluate (27/(351/52))/(-9 + -5) - (-164)/(-14).
-12
63/84 + 3485/(-170)*5/(-2)
52
What is (-3)/(-46)*1628/4884?
1/46
Calculate (4/((-32)/6))/((-2564)/51280).
15
What is ((-6)/153)/((-8844)/13668)?
2/33
What is the value of (-12)/7 + (-38688)/(-2821)?
12
65 - 630/(-4900)*-505
1/14
(-4 - (-314)/80)*(-296)/(-222) - (-420)/6200
-1/31
Evaluate (-156)/(-60) + (3 - (-77)/(-14)).
1/10
What is (4609/17598*(-28)/(-264))/((-1)/(-3))?
1/12
What is the value of ((-17080)/(-315))/61*(-5814)/(-68)?
76
What is the value of (-644 - -642) + 1063/476 + ((-14)/(-8) - 2)?
-2/119
Calculate ((-395)/(-45)*1 + -9)/(23/24426*-2).
118
What is ((-4)/2232*-8)/(94/(-423)*1)?
-2/31
20/(-18) - (-7)/126*(-80524)/(-410)
49/5
(-1346 - -1384) + 56/10 + 6/15
44
Evaluate (-18 + -2)*20/(-25).
16
Calculate 48135/(-19254) - (-227)/2.
111
What is the value of (4812 + -4802)*(-1)/((-2)/3) - (-160)/(-14)?
25/7
-9*(-3)/(-63)*((-398)/116 + (-108)/1566)
3/2
What is the value of ((-6)/(-14) + (70905/(-420))/(-29))/((-1)/8)?
-50
(298/(-49))/(1830/(-427)) + 3/90*-4
9/7
Calculate 39 - (532/(-152))/((-1)/(-6)).
60
Calculate 5*((-4554)/230 - -25).
26
What is (-63104)/(-56576) + ((-15)/3 - -4)?
3/26
What is 2/((-4536)/147 + 31) + -67 + 2*-2?
-57
What is (1704/(-355))/(594/(-195) + 6*5/10)?
104
What is (((-17)/(4862/(-44)))/(15/39))/(372/(-15))?
-1/62
What is 1456/(-98)*(-679)/(-194)?
-52
(-2)/13 + (6/26)/(666402/(-17089) - -39)
57
Calculate (-21)/14 - (19404/(-704) - 1/(-16)).
26
Evaluate (-9 + 750)/39 + 42/(-4).
17/2
What is (-546)/(-1274) - ((-288)/(-21))/8?
-9/7
What is the value of (-10)/(-60)*(181 - -89)?
45
-65 + (-199)/(4179/(-1890))
25
What is (-11900)/(-816) - 21*5/(-60)?
49/3
Calculate 22/14 + 2871648/594720.
32/5
((-938)/247632)/((-10)/(-75) - (2 + (-33)/15))
-1/88
(2/(-4))/(43/3698) + 16/((-64)/(-36))
-34
Calculate 29/13 - 2 - (-3424 - -3424).
3/13
What is the value of -2*(-2)/1*(-299)/(265512/7770)?
-35
What is 37 + -3 + (-1587)/46?
-1/2
Calculate (-348)/(-14) - 70*(-90)/44100.
25
What is (-218)/6758 - 1062/1674?
-2/3
What is 18/2 + (-720)/(-60)?
21
10 + -9*102/(-153)
16
(2025/(-1080))/((-39)/208)
10
Evaluate (-87)/232 + 210/560.
0
Calculate 19 - (-14)/(-2156)*3094.
-12/11
(54/(-26) - -2)/((-1528)/3056)
2/13
Calculate 602756/(-12463) + (-16)/(-22)*(-2)/(-4).
-48
What is 36/(-132)*123101/1083?
-31
Calculate (46288424/(-5572))/(-134) + -62.
-1/199
Evaluate (-632)/70 + (17 + 1)*(15 - (-1653)/(-114)).
-1/35
1576/(-136) - ((-8)/(-12)*-16 - (-33)/(-99))
-10/17
(-1)/((-2)/33 + 2576/(-18480)) - (-132)/(-28)
2/7
(-109)/654 - (-12 + (-2289)/126)
30
Calculate 4/6*102/(-8)*544/(-816).
17/3
Evaluate 17888/(-147060) - (-60)/285.
4/45
What is (-4)/14*(1841/315 - (-19)/(38/(-12)))?
2/45
(4/4)/(18*1/(-2) - 13575/(-1500))
20
Calculate 3 + (-228)/75 - (1412232/2850)/(-38).
13
Calculate (-1098)/24 + 35288/12832.
-43
What is the value of ((3 - -1 - 5)*(-7 + 10))/(303/10706)?
-106
What is the value of -104 - 26 - -138 - 2/(-7)*-11?
34/7
Calculate (-1 + 5 - 364375/100760) + 1 + (-176)/128.
2/229
What is the value of 38 + (-54252)/572 - (1 + -11*1/13)?
-57
What is the value of (52/1638)/((-62305)/(-46179))?
2/85
What is the value of (4088/(-17885))/(55/25 + -3)?
2/7
What is the value of (6020/1008 + (-16)/72)/(10/40)?
23
What is the value of (-3*(-3)/(-33))/((-2361)/666589)?
77
What is the value of -445*8/100 - -22?
-68/5
What is the value of 150/2 - (231 + 65238/(-249))?
106
What is the value of ((-667)/87 + (-7)/((-2)/2))*33?
-22
47 + 2 + (-1 - (28 - 12))
32
What is 10*52/(-336) + 795/530?
-1/21
What is -18 - -17 - ((-2072)/(-448) + -4)?
-13/8
(-6 + -1 + 3)/(-15)*3795/1518
2/3
Evaluate 8/44 + 39/(-33) + 52 + 20 + -16.
55
Evaluate (9 + -2 + -11)*(-29)/2*(0 - -2).
116
Evaluate 14*(2/8*2)/(449/(-449))*-7.
49
Calculate 9440/(-109 + 29) + 35.
-83
What is 348/319 + (8985/(-14982) - (-22)/(-44))?
-2/227
Calculate ((-2340)/160 + 15 - (-174)/(-208))*-1*1.
6/13
8078 + -8090 - (0 + (2 - 0))
-14
What is the value of ((-8784)/(-1224))/(-61) + 2/(-7) + 122/(-119)?
-10/7
What is the value of (((-13)/11)/(6/(-33)))/((-44)/16 - -1)?
-26/7
What is the value of 229/((-125721)/(-1830)) - (-18)/(-2)?
-17/3
What is 222/(-2)*(-3)/90*8*(-1070)/428?
-74
(2774/290 + 44 + (-22950)/522)/(3/10)
32
Calculate (-65)/119 + ((-13279)/(-343) - 40)/(-1 - 2).
-2/17
60291/1131 - 75 - -22
4/13
Evaluate 1*((12/(-3744)*8)/((-9)/(-837)) - -3).
8/13
What is the value of (5/4 + (-9751)/7644)/(-4 - (-287)/63)?
-3/65
((-1496)/(-1430) - 1)*(1 + (-28)/8)
-3/26
What is 13/(-52) + 1029/3024 + (-5)/80?
1/36
27 + 17 + -60 - 64/(-8)
-8
What is (4/10)/(5559/(-85) - -58)?
-2/37
Evaluate (6/117)/(72/(-4992)*-16).
2/9
What is ((-8)/544)/(((-430)/(-1032))/(1/(-6)))?
1/170
What is (( | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 3 r when three letters picked without replacement from {r: 3, e: 4, p: 5}?
1/220
What is prob of picking 1 d and 1 w when two letters picked without replacement from {w: 4, q: 3, d: 3, u: 1, y: 3, i: 1}?
4/35
What is prob of picking 2 q when two letters picked without replacement from qjqojo?
1/15
Three letters picked without replacement from bbbqabbbbbbbaqa. Give prob of picking 3 a.
1/455
What is prob of picking 1 x and 1 a when two letters picked without replacement from xax?
2/3
Three letters picked without replacement from lmymrylll. Give prob of picking 1 y, 1 l, and 1 r.
2/21
Calculate prob of picking 2 o when two letters picked without replacement from oomomo.
2/5
What is prob of picking 1 t and 3 o when four letters picked without replacement from {t: 11, o: 3}?
1/91
Four letters picked without replacement from {s: 2, h: 10}. Give prob of picking 4 h.
14/33
Three letters picked without replacement from {q: 3, x: 1, l: 5, v: 1}. Give prob of picking 1 x, 1 l, and 1 v.
1/24
Two letters picked without replacement from {h: 1, c: 1, d: 1, a: 1, q: 1}. Give prob of picking 1 a and 1 q.
1/10
Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {p: 3, l: 13, u: 3}.
13/323
What is prob of picking 2 y and 1 r when three letters picked without replacement from mmrrmyyyyvmmtyttnyrm?
3/76
Calculate prob of picking 1 s and 2 y when three letters picked without replacement from ssyysyy.
18/35
Two letters picked without replacement from qqueucquuexexhxqxee. Give prob of picking 1 h and 1 x.
4/171
What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 8, s: 5}?
20/39
Calculate prob of picking 1 u, 1 f, 1 i, and 1 x when four letters picked without replacement from {j: 1, f: 4, u: 3, i: 1, x: 7}.
3/65
Calculate prob of picking 3 q when three letters picked without replacement from xqqxxxxqqxxq.
1/22
Three letters picked without replacement from smsfq. Give prob of picking 2 s and 1 m.
1/10
What is prob of picking 1 f and 1 g when two letters picked without replacement from {z: 1, f: 1, k: 2, x: 1, q: 1, g: 1}?
1/21
Two letters picked without replacement from qnlraalalqll. What is prob of picking 1 n and 1 a?
1/22
Two letters picked without replacement from {d: 7, j: 2, f: 2}. Give prob of picking 2 j.
1/55
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from mzzzzzriz.
1/36
Three letters picked without replacement from {o: 1, c: 2, y: 1, l: 10, n: 4}. What is prob of picking 1 l and 2 n?
5/68
Three letters picked without replacement from nntyoononnnh. What is prob of picking 1 o and 2 n?
9/44
Two letters picked without replacement from {o: 2, k: 4}. What is prob of picking 2 k?
2/5
What is prob of picking 1 o, 1 l, 1 u, and 1 y when four letters picked without replacement from {u: 7, o: 2, k: 1, y: 2, l: 1, p: 1}?
4/143
What is prob of picking 4 j when four letters picked without replacement from {q: 2, w: 8, j: 5}?
1/273
What is prob of picking 1 g and 1 y when two letters picked without replacement from {w: 3, y: 1, k: 2, h: 4, i: 3, g: 4}?
1/34
Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {g: 4, u: 1, e: 3, k: 1, l: 2, x: 7}.
7/272
Four letters picked without replacement from hynrlrn. What is prob of picking 1 y, 2 r, and 1 h?
1/35
Three letters picked without replacement from {u: 4, m: 2}. Give prob of picking 3 u.
1/5
What is prob of picking 2 c when two letters picked without replacement from {c: 13, f: 6}?
26/57
Four letters picked without replacement from {p: 3, m: 2, u: 3, o: 4, l: 4, e: 2}. Give prob of picking 1 l, 2 e, and 1 p.
1/255
What is prob of picking 2 j and 1 p when three letters picked without replacement from {j: 2, p: 9}?
3/55
Calculate prob of picking 1 l and 1 k when two letters picked without replacement from kolllkkiiiiki.
2/13
Two letters picked without replacement from djdjdddddqqqqq. Give prob of picking 1 j and 1 d.
2/13
What is prob of picking 1 t, 2 y, and 1 o when four letters picked without replacement from yqtyttqqqo?
1/70
Four letters picked without replacement from {s: 13, g: 6}. What is prob of picking 4 g?
5/1292
Calculate prob of picking 2 v and 2 x when four letters picked without replacement from gvxvvxggvgg.
1/55
Calculate prob of picking 2 m when two letters picked without replacement from bmmmbmb.
2/7
Two letters picked without replacement from {n: 1, c: 5, x: 4, t: 1, m: 5, i: 1}. What is prob of picking 1 i and 1 m?
5/136
What is prob of picking 2 v when two letters picked without replacement from jvvvvvvjvvvvv?
55/78
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 2, o: 13, m: 5}.
1/19
Calculate prob of picking 2 m and 2 j when four letters picked without replacement from gmgmgggdjmmdjgmdmq.
1/204
Three letters picked without replacement from pyycpphyyp. Give prob of picking 2 y and 1 h.
1/20
Calculate prob of picking 3 s when three letters picked without replacement from {a: 2, s: 5, n: 2}.
5/42
What is prob of picking 4 h when four letters picked without replacement from {x: 3, d: 1, a: 2, h: 4}?
1/210
What is prob of picking 3 g and 1 i when four letters picked without replacement from iggiiggiggggiiig?
21/65
What is prob of picking 2 z when two letters picked without replacement from {z: 3}?
1
Three letters picked without replacement from {i: 2, c: 4, m: 3}. Give prob of picking 3 m.
1/84
Calculate prob of picking 2 s when two letters picked without replacement from srmsssrmrsssmmsssw.
5/17
Two letters picked without replacement from llaxxvlllxxxvlxvlv. Give prob of picking 1 l and 1 v.
28/153
Calculate prob of picking 1 b and 2 y when three letters picked without replacement from {p: 3, y: 5, b: 1}.
5/42
Three letters picked without replacement from {y: 5, o: 3}. Give prob of picking 3 o.
1/56
Calculate prob of picking 2 b and 1 q when three letters picked without replacement from bssqsebebebedss.
6/455
What is prob of picking 2 b when two letters picked without replacement from {g: 8, b: 3}?
3/55
What is prob of picking 1 b and 1 r when two letters picked without replacement from rqbqyrr?
1/7
What is prob of picking 1 j and 2 z when three letters picked without replacement from jlxjjxllzllz?
3/220
Four letters picked without replacement from xljjlxxxjjjjxjj. Give prob of picking 4 j.
2/39
Three letters picked without replacement from iinhiehhenibehih. What is prob of picking 1 n, 1 b, and 1 h?
1/56
Three letters picked without replacement from {c: 3, v: 3, h: 5, m: 1}. What is prob of picking 1 c, 1 h, and 1 v?
9/44
Calculate prob of picking 1 q and 3 u when four letters picked without replacement from {r: 1, u: 3, b: 2, q: 1}.
1/35
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from pgagidpnppgn.
1/33
Two letters picked without replacement from fkfvpvgpffvvpfppv. Give prob of picking 2 v.
5/68
What is prob of picking 2 y and 1 q when three letters picked without replacement from yktykhqhhyyyytykyyty?
3/76
Four letters picked without replacement from {x: 4, y: 10, a: 2}. Give prob of picking 1 y, 2 x, and 1 a.
6/91
Two letters picked without replacement from {b: 3, d: 2}. What is prob of picking 1 b and 1 d?
3/5
What is prob of picking 1 r and 2 x when three letters picked without replacement from nwrxxxxax?
5/42
Two letters picked without replacement from rnnrnfjjjnfjjjr. Give prob of picking 2 n.
2/35
Four letters picked without replacement from ktggktggeettttgtggt. Give prob of picking 1 k, 2 t, and 1 g.
98/969
What is prob of picking 3 e when three letters picked without replacement from eeeeememeemefemeem?
55/204
Three letters picked without replacement from frbaosrrsaraarrar. What is prob of picking 1 o and 2 r?
21/680
Four letters picked without replacement from {s: 2, u: 4}. What is prob of picking 4 u?
1/15
Four letters picked without replacement from {k: 3, e: 16, a: 1}. What is prob of picking 1 k and 3 e?
112/323
Four letters picked without replacement from {g: 5, d: 6, t: 3, j: 1}. Give prob of picking 2 d and 2 g.
10/91
Calculate prob of picking 1 i, 2 t, and 1 j when four letters picked without replacement from {i: 2, j: 7, u: 4, t: 5}.
7/15 | {
"pile_set_name": "DM Mathematics"
} |
2*s + 2*s + 36 = -v*n for n.
-4
Let w(c) = c**3 - 77*c**2 - 5*c + 388. Let d be w(77). Solve 4*x + s + 86 - 76 = 0, -2*x - d*s = 0 for x.
-3
Suppose 4*x = -7*o + 13, 5*x + 4*o = 74 - 53. Solve -5 = u, 0*u = x*z + u for z.
1
Let j = 5186 + -5183. Solve 2*a = -5*r + 5, 2*r + 0*r - j*a = 2 for r.
1
Let o(k) = k**3 + 9*k**2 + k + 11. Suppose 96 - 64 = -3*d + h, -20 = -4*h. Let a be o(d). Solve -8 = -2*p - 4*m, -4*p - 6*m + a*m = 0 for p.
-4
Let t = 24 - 4. Let q(g) = 8*g - 131 - 35*g + 16*g + 4*g. Let v be q(-19). Solve 3*o + 2*p = -9 - 7, 0 = -4*o - v*p - t for o.
-4
Let j(o) be the first derivative of 1/4*o**4 - 11/3*o**3 - 22*o - 5*o**2 - 15. Let u be j(12). Solve h + 2 = 5*i, u*i + 6 = -h - 2*h for h.
-2
Suppose 5*b + f - 11 = 4, 9 = 3*b - f. Let a be ((-210)/(-60))/((-4)/(-536)). Let q = -464 + a. Solve -2*h = i - b, -i = q - 4 for h.
2
Let w = -32 + 32. Let c = 2 - w. Solve 0*f + 2*a + 10 = -c*f, 3*f - 2*a = -5 for f.
-3
Let r = -664 + 667. Let d(h) = h + 26. Let n be d(-22). Solve -n*t = 5*m + 6, 3*m + r*t - 26 = 8*t for m.
2
Suppose -2*y + 2*h = 376, 2*y - 3*h + 265 + 110 = 0. Let f = y - -194. Solve 0 = 3*x - 3, -6*o + 2*o + f*x - 1 = 0 for o.
1
Let s be (-36)/6 + 5 + 121. Let o = s - 116. Solve -2*f + 4*c = -32 + 10, c + o = -f for f.
1
Suppose 0 = 2*j + 77 - 87. Let g be ((-2)/6)/((-22)/132). Let v(l) = -l + 12. Let r be v(7). Solve j*k - g*t + 14 = -11, -r*k = -4*t + 25 for k.
-5
Let b(n) = -n**3 - 120*n**2 - 568*n + 805. Let w be b(-115). Solve -15*a + 3*t = -13*a - 22, w = 5*a - 4*t - 34 for a.
2
Let t = 22027 + -22027. Solve -d = 4*x - 21, -10*d + 9*d - 3*x + 16 = t for d.
1
Let q(a) = -a**3 + 4*a**2 + 69*a + 23. Let z be q(10). Let s = z + -110. Solve -u - 11 = s*c + 4*u, 0 = -u - 4 for c.
3
Let i(d) = -d**3 - 10*d**2 - 28*d - 19. Let g be i(-13). Let f = g - 846. Solve -y + 2*r = -f*y + 8, y - 3*r = 5 for y.
2
Let g = 839 + -1697. Let s = g - -861. Solve 0 = -4*f + 5*v - 37, -4*v + s = 4*f - v for f.
-3
Let y = 1716 + -1714. Solve -8 = -2*a + y*l, 4 = -4*a + a - l for a.
0
Suppose -3*m + 0*m = 5*v - 16, 2*v - 6 = -m. Solve -5*x + 19 = 4*z + m, 11 = -3*z + x for z.
-2
Suppose 9 = -2*z + 4*q + 1, -z + 17 = 5*q. Solve 5*r - 9 = y, z*y + 7*r + 2 = r for y.
-4
Suppose 0 = 4*q - 19 + 3. Let f = 84 - 82. Suppose -s = 3*s + f*r, r = 2*s. Solve 4*o + 3*i = 15, s = -2*o + 4*o - q*i - 2 for o.
3
Suppose -48*l + 85 = -59. Suppose 4*q - 35 = -5*j, -14 = l*j + 2*q - 35. Solve 0 = 3*w + 5*x - 30, 5*w + j*x - 40 = 2*x for w.
5
Let c(p) = 7*p**2 + 233*p - 979. Let d be c(4). Solve g = -3*x + 9, 3*g = 61*x - d*x + 7 for g.
-3
Let s(g) = -g**3 + 9*g**2 - 18*g + 7. Let d be s(5). Suppose -59 = -d*k - 8. Solve -5*p + o + 0*o - 7 = 0, -k*o = -6 for p.
-1
Let z(k) = 6*k - 30. Suppose 128 = 10*t + 78. Let h be z(t). Solve m = -3*x + 19, h = m + 5*x - x - 24 for m.
4
Let q be -1 + 4 - (-248 - -249). Solve q*a = -5*n + 16, n - 1 = -3*a + 10 for a.
3
Let i be 6/(-4)*(0 - 30/9). Suppose -3*m - 2*m = -225. Let w be 2/8 - m/(-12). Solve i*x = -5*v + 3*x - 15, -w*v - 3*x = 5 for v.
-5
Suppose 30 = 5*f - 330. Suppose -13*l - f = -4*l. Let k = 10 + l. Solve -23 = -5*i + k*y - 0*y, 4*y = 4 for i.
5
Suppose 4*d - 17*d = -104. Let o be d/48 - ((-87)/18 - -2). Solve -3*b = -c + 12, 1 = -b - 3*c - o for b.
-4
Let i be 24*((-16)/4)/(-12). Let p = -65 - -70. Suppose -4*x = -3*j + 8 + p, -4*x + 8 = 4*j. Solve -j*w + 4*a - 3*a = -i, 4*a = 4 for w.
3
Let o = 103 - 106. Let i be (0/(50/(-10)))/(o/(-1)). Solve -5*q + 5*f - 5 = 3*f, -5*q - f + 10 = i for q.
1
Suppose 475*o = -124*o. Solve -60 = 13*t - 5*p, t + 0*p + p + 6 = o for t.
-5
Let s = 260 + -256. Let h be (s + (-45)/10)*0. Suppose t + 2*t = 57. Solve a - 5*x = -t, a + h*a - 4*x = -16 for a.
-4
Let b(t) = t**2 - 25*t + 114. Let j = -270 + 276. Let l be b(j). Solve -5*y - 29 = -z, -z - 6 = 2*y - l for z.
4
Suppose 0 = -3*a + 3*l - 18, -5*a + 28 + 14 = 4*l. Solve a*y + 5*v - 14 = -44, 0 = 3*y + v + 19 for y.
-5
Suppose r - 18 = -2*y, -131 = 2*r - 4*y - 111. Solve 5*h = -r*j + 2*j + 33, 5*h - 4*j = 9 for h.
5
Let k be (-32)/(-12)*-3 + 946/86. Solve -108*w = k*o - 103*w, o = -4*w for o.
0
Let z = -21347 + 21350. Solve z*c + 9 = 18*j - 20*j, -21 = -2*j + 3*c for j.
3
Let i = 17717 - 17715. Solve i*m - 2*t - 24 = -10, 5*t = -2*m for m.
5
Suppose 12*y - 14*y + 72 = 0. Let p be (-9)/y - 239/4. Let o = -50 - p. Solve -x - 3*x = r + 13, 0 = -r - 3*x - o for r.
-1
Let o(v) = -12*v - 18. Let z be o(-6). Suppose 0 = q + 5*q - z. Suppose -2*t = -5*t + q. Solve -4 - 12 = y + 3*i, -t*y - 2*i = 20 for y.
-4
Let y(v) = 38*v + 608. Let a be y(-16). Solve a = -4*p - 5*s + 24, 0*s + 2*s - 8 = 0 for p.
1
Let f(j) = -j**2 + 51. Let i be f(-9). Let t(h) = h**3 + 29*h**2 - 27*h + 92. Let o be t(i). Solve -o*r = -5*c + 28, -4*c + 2*r = -20 - 4 for c.
4
Suppose 381 = -n - 2*y + 385, -4*n - 2*y = -46. Solve 5*b - 2 = x + 2*b, x = -5*b + n for x.
4
Let b(j) = j - 21. Let f be 2/3*12/(-2 + 0). Let a(o) = 4*o - 63. Let v(k) = f*a(k) + 11*b(k). Let u be v(4). Solve 3 + u = -2*c, -2*l + c = 2 for l.
-2
Suppose 5 - 41 = -9*q. Suppose w = s - 6, -s + q*w = -12 + 3. Solve 5*z = -2*h + s, -2*z + 6*z = 3*h - 19 for z.
-1
Let f = -164 + 222. Let h = -52 + f. Solve -w + 17 = -h*w - p, -2*w = -p + 4 for w.
-3
Let y be -1 + 10 - (-11 + 7 - -8). Let q = -4 - -4. Suppose 0*j - 5*j = q. Solve -3*k = -2*x + 3*x, j = y*x + 5*k + 10 for x.
-3
Let l(f) = -3*f**2 + 79*f + 274. Let i be l(-3). Solve u - 2*g + i = -3, 2*u - g - 1 = 0 for u.
5
Suppose -3*b = -3*k + 3, -5*k - 583*b - 5 = -578*b. Solve -4*n + 12 = -9*p + 5*p, k = -4*p - 4 for n.
2
Suppose 5*f - 12 + 5 = -u, 3*u - 5 = f. Suppose -2 - u = -w. Solve -22 = 2*x - w*v, -7*v = 2*x - 3*v - 10 for x.
-3
Let t = 3757 + -3747. Solve 0 = i + 2*p + 3, -t*i + 9*i + 21 = -4*p for i.
5
Suppose 0 = z - 4*q - 12, 2*z - 4*q - 180 + 164 = 0. Solve -5*o - 40*h - 10 = -45*h, 4*o + z*h + 48 = 0 for o.
-7
Let g = -13 - -18. Suppose -44*t - 165 - 115 = -100*t. Solve b - 2*y = -g, -t = -3*b - 5*y + y for b.
-1
Let i(c) = c**2 + 6*c - 14. Let s be i(4). Suppose 14*w = s*w - 36. Solve 2*g = 5*l + 9, l + w = 3*g - 2*g for g.
2
Let z = 23 - -37. Suppose 0 = z*w - 55*w - 155. Suppose -9*o = -w - 77. Solve 3*d - o = 0, 9*b - 4*b - d = -9 for b.
-1
Let s(u) = -u**2 - 16*u + 79. Let g be s(-20). Let v be 3*g/(-5) - 1836/(-340). Solve -2*q = -5*t + 2, -v*t = 4*q - 2*t + 4 for q.
-1
Let r be (1 + 1)/((-1)/(-2)). Let w(o) = 2*o**3 - 96*o**2 + 17. Let d be w(48). Solve 2*v - 3*m + d = 5, -2*v - 5*m = -r for v.
-3
Suppose -4*c - 2*o + 14 = 0, 5*o + 10 = -4*c + 33. Suppose c*a + 2*a = 2*d + 10, d = 4*a - 5. Solve -3*g + 10*i - 5*i = 12, 4*g + i - 7 = a for g.
1
Let o be (-2)/(-7) - 4*(-446)/28. Let b = o - 60. Suppose g + 0 = 3, 5*h = b*g - 12. Solve -4*n = 3*v - 20, -4*v - n + 14 + 4 = h for v.
4
Let v = 10 - 5. Let i(w) = 2 + w**2 + 2*w - 2 - v. Let n be i(2). Solve 5 = -z + a - 3*a, n*a + 5 = z for z.
-1
Suppose -6 = -2*o - 12, -5*k = -2*o - 96. Let y = -22 + k. Let z be 0/y + 9/3. Solve 4*q - 23 = -z*n, -2*q + 3*n - 11 = -0*q for q.
2
Let v = -43 + 23. Let w = v + 25. Solve 3 = -4*k + 4*z - z, 34 = 3*k + w*z for k.
3
Suppose 9*b = -10*b + 304. Suppose 195*k - b = 191*k. Solve -3*o + 2*o - 4*c = 20, -k*o + 4*c = 0 for o.
-4
Let c = 6511 + -6506. Solve -v = -w + 9, -2*w + v - 12 = c*v for w.
4
Let x be 0/((-5 + 0)/5). Let f = 178 + -175. Solve 0*y - 4 = -f*s + 2*y, x = 2*y + 4 for s.
0
Let s(k) = -k**2 + 9*k + 75. Let z be s(14). Suppose -20 - 12 = -3*b + 5*u, 80 = z*b + 5*u. Solve 0 = 5*m - 2*f + 15, b + 9 = -3*m + 4*f for m.
-1
Let z = 2981 - 2978. Solve -5*j = -z*u + 8, -7*j - 5*u = -12*j - 10 for j.
-1
Let d(a) = 2*a**2 + 106*a + 122. Let h be d(-52). Suppose 3*y + 21 = 3*m, 6*m - 3*y - h = 4*m. Solve 0 = 4*n - 3*f - m, -n - 3*n - 5*f - 37 = 0 for n.
-3
Let y(d) = -d**3 - 41*d**2 + 281*d - 8. Let u be y(-47). Solve u*w = -n + 42*w - 11, 0 = w - 3 for n.
-2
Let b = -2301 - -2304. Suppose 6*x - 6 = 3*x. Solve -x*w - b*w = 4*j + 6, 3*j - 11 = 4*w for w.
-2
Let y be 24/32 + (-170)/(-8). Suppose 131*r = 130*r + y. Let i be -3*(1/(-1) + 0). Solve -6*z + r = -z - i*c, -6 = -5*z - c for z.
2
Let w(k) = 68*k - 470. Let i be w(7). Solve 0 = 14*u - 15*u - 4*p + 12, -3*u + 2*p - i = 0 for u.
0
Let k be 6 + 343 + -3 + -2. Let z = k + -343. Solve | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from {y: 12, w: 3}.
11/91
Three letters picked without replacement from ppgpppptpptggqgqqppg. Give prob of sequence gqt.
1/228
What is prob of sequence pdsp when four letters picked without replacement from ojodjopjpsoe?
1/5940
Calculate prob of sequence arr when three letters picked without replacement from ddaiardmdrrx.
1/110
Three letters picked without replacement from xpxpyrhprxxxr. Give prob of sequence xry.
5/572
Calculate prob of sequence ee when two letters picked without replacement from {t: 2, e: 2, v: 4}.
1/28
What is prob of sequence bb when two letters picked without replacement from {q: 2, b: 3}?
3/10
Calculate prob of sequence cw when two letters picked without replacement from {t: 1, c: 2, w: 2, m: 1, x: 1}.
2/21
Calculate prob of sequence yn when two letters picked without replacement from {n: 1, y: 1, x: 2, f: 1}.
1/20
Two letters picked without replacement from ggggbbgbgggbgggggg. What is prob of sequence gb?
28/153
Three letters picked without replacement from {r: 6, b: 1, h: 2, i: 4}. Give prob of sequence rbh.
1/143
Calculate prob of sequence sl when two letters picked without replacement from ebbsbbklbxb.
1/110
Four letters picked without replacement from {t: 1, e: 2, m: 3, k: 2, a: 4}. What is prob of sequence eamm?
2/495
What is prob of sequence vm when two letters picked without replacement from vvmmvv?
4/15
What is prob of sequence nbpg when four letters picked without replacement from pgpppnppbpnnpnfnn?
1/1190
Two letters picked without replacement from {h: 2, c: 1, y: 1, g: 5}. What is prob of sequence yc?
1/72
Three letters picked without replacement from {j: 1, v: 1, c: 2}. Give prob of sequence jcc.
1/12
Three letters picked without replacement from {v: 6, o: 6}. Give prob of sequence ovv.
3/22
Calculate prob of sequence qu when two letters picked without replacement from qquququeq.
5/24
What is prob of sequence lhvq when four letters picked without replacement from {v: 5, l: 2, n: 2, c: 1, q: 2, h: 1}?
1/858
Two letters picked without replacement from {l: 2, x: 3, r: 5, b: 10}. What is prob of sequence lx?
3/190
Calculate prob of sequence ue when two letters picked without replacement from beelbeeeellelheulh.
4/153
Calculate prob of sequence gh when two letters picked without replacement from {h: 9, g: 11}.
99/380
Calculate prob of sequence us when two letters picked without replacement from usiiyiauusmys.
3/52
Two letters picked without replacement from {z: 3, d: 5}. Give prob of sequence zz.
3/28
What is prob of sequence xhkf when four letters picked without replacement from cfcddddffcchxfk?
1/8190
Four letters picked without replacement from irppbrbxbipxrz. What is prob of sequence zipp?
1/2002
What is prob of sequence xb when two letters picked without replacement from {x: 2, b: 4}?
4/15
Two letters picked without replacement from {i: 2, t: 4}. Give prob of sequence ii.
1/15
Calculate prob of sequence dftb when four letters picked without replacement from {f: 6, t: 7, b: 3, d: 3}.
21/5168
What is prob of sequence xxh when three letters picked without replacement from {h: 10, x: 9}?
40/323
Calculate prob of sequence ry when two letters picked without replacement from ayyrbzzbyyfbbrb.
4/105
Three letters picked without replacement from xccxx. Give prob of sequence cxc.
1/10
What is prob of sequence zzz when three letters picked without replacement from zzzz?
1
Calculate prob of sequence www when three letters picked without replacement from {w: 3, h: 1}.
1/4
Calculate prob of sequence puu when three letters picked without replacement from {u: 3, p: 9}.
9/220
Calculate prob of sequence ffhh when four letters picked without replacement from {h: 5, f: 2}.
1/21
Three letters picked without replacement from {h: 2, u: 1, m: 2, y: 1, g: 1, a: 1}. Give prob of sequence mhm.
1/84
Calculate prob of sequence qib when three letters picked without replacement from vvvwwvfvqffwvib.
1/2730
Two letters picked without replacement from {g: 17, r: 2}. What is prob of sequence gg?
136/171
What is prob of sequence ppk when three letters picked without replacement from {k: 1, p: 7}?
1/8
Two letters picked without replacement from {r: 4, m: 2, e: 1}. What is prob of sequence mr?
4/21
Three letters picked without replacement from {b: 2, t: 1, g: 2, j: 2, p: 1, o: 1}. What is prob of sequence gbb?
1/126
Three letters picked without replacement from {h: 9}. Give prob of sequence hhh.
1
What is prob of sequence bb when two letters picked without replacement from {q: 4, b: 7}?
21/55
What is prob of sequence ddua when four letters picked without replacement from ududdcdadadc?
1/99
Four letters picked without replacement from zmmmzzmmmzzzz. Give prob of sequence mzmz.
21/286
Three letters picked without replacement from {i: 2, x: 1, z: 1, h: 1}. Give prob of sequence zih.
1/30
What is prob of sequence qs when two letters picked without replacement from aasnsqaia?
1/36
What is prob of sequence al when two letters picked without replacement from {a: 6, l: 4}?
4/15
Four letters picked without replacement from {b: 2, a: 9}. Give prob of sequence aabb.
1/55
Calculate prob of sequence alll when four letters picked without replacement from allallaaalla.
2/33
Calculate prob of sequence hqd when three letters picked without replacement from rdgrgqhhrgg.
1/495
What is prob of sequence fffo when four letters picked without replacement from {o: 1, f: 18}?
1/19
Two letters picked without replacement from {z: 1, y: 3, k: 1, t: 1, j: 3, l: 2}. What is prob of sequence yk?
3/110
Four letters picked without replacement from {u: 6, j: 1, k: 5, b: 1, h: 2}. Give prob of sequence uubh.
1/546
What is prob of sequence wd when two letters picked without replacement from {t: 1, d: 2, w: 4, s: 1}?
1/7
Three letters picked without replacement from {i: 1, w: 2, y: 1, u: 1, z: 2, j: 2}. Give prob of sequence uwj.
1/126
Two letters picked without replacement from {f: 10, u: 2}. Give prob of sequence uf.
5/33
Four letters picked without replacement from ddrkdthdttdtrtd. What is prob of sequence krdd?
1/546
Calculate prob of sequence fff when three letters picked without replacement from fffffffff.
1
Three letters picked without replacement from {g: 3, v: 1, m: 2, l: 4, k: 3, s: 3}. Give prob of sequence msk.
3/560
Two letters picked without replacement from {g: 3, h: 1, d: 2, c: 1}. What is prob of sequence hg?
1/14
Three letters picked without replacement from {q: 3, y: 7}. Give prob of sequence qqy.
7/120
Calculate prob of sequence cjcc when four letters picked without replacement from {c: 4, j: 16}.
16/4845
What is prob of sequence qh when two letters picked without replacement from {w: 2, x: 4, h: 2, q: 5}?
5/78
Two letters picked without replacement from qdtaqcttdtdc. Give prob of sequence ta.
1/33
Two letters picked without replacement from ssqsq. What is prob of sequence sq?
3/10
Calculate prob of sequence ku when two letters picked without replacement from fkkjfkkuukgkkkkug.
27/272
Three letters picked without replacement from {f: 9, b: 10}. Give prob of sequence bff.
40/323
Three letters picked without replacement from {e: 5, b: 2}. What is prob of sequence beb?
1/21
Three letters picked without replacement from {z: 1, g: 2, u: 1, a: 1, f: 1, y: 1}. What is prob of sequence auf?
1/210
Three letters picked without replacement from mndbbnnrnnffndn. Give prob of sequence mbb.
1/1365
What is prob of sequence vm when two letters picked without replacement from vvmnmvmmmmnvvvvmmvv?
4/19
Two letters picked without replacement from {t: 2, b: 4, h: 1, f: 5, p: 2}. Give prob of sequence pt.
2/91
Calculate prob of sequence ccbb when four letters picked without replacement from {c: 3, b: 4}.
3/35
Two letters picked without replacement from {n: 8, b: 5}. Give prob of sequence bb.
5/39
Calculate prob of sequence wwy when three letters picked without replacement from {w: 2, y: 1}.
1/3
What is prob of sequence timt when four letters picked without replacement from {i: 1, t: 2, m: 7, n: 4}?
1/1716
Calculate prob of sequence bt when two letters picked without replacement from ittbiitbiiitiibbbbi.
4/57
Three letters picked without replacement from jojhdwjhjjojdddoj. What is prob of sequence dwd?
1/340
What is prob of sequence nt when two letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
nhnnniwinihiifff?
1/4368
What is prob of sequence snh when three letters picked without replacement from {n: 1, h: 2, d: 2, o: 1, s: 2}?
1/84
What is prob of sequence xxrg when four letters picked without replacement from {r: 1, g: 1, x: 3}?
1/20
What is prob of sequence dm when two letters picked without replacement from wmmdm?
3/20
Two letters picked without replacement from {p: 5, i: 8, o: 3}. What is prob of sequence oi?
1/10
Calculate prob of sequence gg when two letters picked without replacement from {a: 2, h: 2, g: 2}.
1/15
Two letters picked without replacement from {k: 3, y: 4, o: 1, p: 6}. What is prob of sequence yp?
12/91
Calculate prob of sequence ippp when four letters picked without replacement from fpipppiipipfpifpppf.
25/646
Calculate prob of sequence bn when two letters picked without replacement from bnbbbbbnbbbbbbbbbnn.
10/57
Three letters picked without replacement from gggggsggggsgsg. Give prob of sequence sgg.
55/364
Four letters picked without replacement from yssddssddssysdd. Give prob of sequence sysd.
1/65
What is prob of sequence lvjv when four letters picked without replacement from twvwwvwwvvjwl?
1/1430
Four letters picked without replacement from pppppqppqppp. Give prob of sequence qqpp.
1/66
Four letters picked without replacement from {j: 4, c: 1, v: 3, a: 3, g: 1, u: 3}. Give prob of sequence agva.
1/1820
What is prob of sequence iii when three letters picked without replacement from {i: 9, j: 11}?
7/95
Four letters picked without replacement from ffpomfmmofofof. What is prob of sequence mfmf?
15/2002
Calculate prob of sequence vvv when three letters picked without replacement from {g: 5, v: 3}.
1/56
Calculate prob of sequence uul when three letters picked without replacement from jkuuklsl.
1/84
Calculate prob of sequence zr when two letters picked without replacement from {z: 1, m: 1, y: 3, t: 1, r: 1}.
1/42
Two letters picked without replacement from {y: 2, f: 3}. What is prob of sequence yy?
1/10
Four letters picked without replacement from {s: 6, k: 1, g: 2, b: 2}. What is prob of sequence sggk?
1/660
Two letters picked without replacement from khhkhkkhhhh. What is prob of sequence hh?
21/55
Two letters picked without replacement from {c: 1, f: 1, t: 1}. Give prob of sequence fc.
1/6
Three letters picked without replacement from {d: 5, y: 1, n: 2, z: 1, g: 3}. Give prob of sequence gzg.
1/220
Two letters picked without replacement from zyzcvzcycbvvyvyzvkzz. What is prob of sequence yc?
3/95
Two letters picked without replacement from ziziizz. Give prob of sequence zz.
2/7
Calculate prob of sequence kpzj when four letters picked without replacement from kzonzjp.
1/420
Two letters picked without replacement from qyvjy. Give prob of sequence jq.
1/20
Calculate prob of sequence tst when three letters picked without replacement from csssctcscssstscs.
3/560
Three letters picked without replacement from {f: 5, o: 1, c: 4, a: 2, z: 2}. What is prob of sequence cfa?
5/273
Three letters picked without replacement from rcfffcrrrfr. Give prob of sequence cff.
4/165
Four letters picked without replacement from {d: 1, w: 2, v: 1, h: 2, b: 1}. What is prob of sequence wwhd?
1/210
Calculate prob of sequence upup when four letters picked without replacement from puuppuppppppppppupp.
35/1292
Three letters picked without replacement from {a: 3, c: 4, u: 6, n: 3, p: 4}. Give prob of sequence aan.
1/380
What is prob of sequence tlgo when four letters picked without replacement from ogllllltt?
5/1512
Calculate prob of sequence gugg when four letters picked without replacement from {g: 3, u: 1, x: 1, i: 2}.
1/140
Three letters picked without replacement from wdwdbrw. What is prob of sequence dwr?
1/35
What is prob of sequence iww when three letters picked without replacement from cawiwywwyiy?
4/165
Two letters picked without replacement from {b: 2, r: 1, g: 3, q: 5, z: 1}. What is prob of sequence bb?
1/66
Calculate prob of sequence lh when two letters picked without replacement from lhobhtthlhhh.
1/11
Four letters picked without replacement from {x: 3, z: 1, q: 1, b: 1, s: 1}. What is prob of sequence sbxz?
1/280
What is prob of sequence tc when two letters picked without replacement from {c: 4, t: 4, q: 1, o: 2}?
8/55
What is prob of sequence xiii when four letters picked without replacement from {x: 4, i: 3, d: 5}?
1/495
Two letters picked without replacement from {u: 1, i: 1, h: 1, v: 1, e: 2, k: 1}. Give prob of sequence ih.
1/42
Calculate prob of sequence tc when two letters picked without replacement from {t: 3, c: 9}.
9/44
What is prob of sequence jjqx when four letters picked without replacement from {x: 5, w: 4, j: 4, q: 2}?
1/273
Three letters picked without replacement from pddddpsppds. What is prob of sequence dss?
1/99
What is prob of sequence hu when two letters picked without replacement from {r: 2, w: 2, h: 2, b: 4, u: 2}?
1/33
What is prob of sequence ss when two letters picked without replacement from ssbszsbsbbsbbsbsb?
7/34
What is prob of sequence peep when four letters picked without replacement from {e: 6, p: 7}?
21/286
Four letters picked without replacement from ykyiiyiqiiki. Give prob of sequence iqyy.
1/330
Four letters picked without replacement from zlzylljpppffjjjf. What is prob of sequence ffyp?
3/7280
What is prob of sequence ru when two letters picked without replacement from {u: 11, o: 7, r: 1}?
11/342
Calculate prob of sequence ua when two letters picked without replacement from hhhhqaqahhqqhnhuhh.
1/153
Four letters picked without replacement from {d: 11, r: 2, h: 6}. Give prob of sequence dhdh.
275/7752
Calculate prob of sequence kj when two letters picked without replacement from ckjkkcjkjjkjjkk.
1/5
Two letters picked without replacement from zzzzz. Give prob of sequence zz.
1
Two letters picked without replacement from {d: 7, x: 4}. What is prob of sequence xd?
14/55
What is prob of sequence blp when three letters picked without replacement from {l: 1, x: 2, b: 2, p: 1, d: 1}?
1/105
Two letters picked without replacement from {n: 5, r: 4, p: 3}. Give prob of sequence np.
5/44
Four letters picked without replacement from {a: 8, j: 2}. What is prob of sequence jjaa?
1/45
Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.
1
Two letters picked without replacement from {a: 3, h: 2, m: 3, d: 1, o: 1}. What is prob of sequence ho?
1/45
What is prob of sequence rd when two letters picked without replacement from {d: 1, r: 5, m: 3, k: 1, y: 1, l: 3}?
5/182
Four letters picked without replacement from {g: 2, k: 1, h: 3, o: 4, j: 4}. Give prob of sequence kgjk.
0
Two letters picked without replacement from {j: 1, c: 7, f: 1, u: 5}. Give prob of sequence uu.
10/91
Four letters picked without replacement from {k: 5, z: 3}. Give prob of sequence zzkz.
1/56
Calculate prob of sequence ugtt when four letters picked without replacement from uugguuggtggggguuguug.
0
Two letters picked without replacement from {z: 4, n: 11, o: 1, p: 3}. Give prob of sequence po.
1/114
Two letters picked without replacement from {z: 4, c: 3}. What is prob of sequence cz?
2/7
Calculate prob of sequence vnn when three letters picked without replacement from {n: 14, v: 5}.
455/2907
What is prob of sequence ptth when four letters picked without replacement from htuhpfttft?
1/210
Calculate prob of sequence ya when two letters picked without replacement from {a: 1, z: 2, o: 8, y: 5}.
1/48
Four letters picked without replacement from ookqqoqooqqoooqoqqo. What is prob of sequence kqqo?
35/5814
Four letters picked without replacement from {l: 2, a: 2, x: 1}. Give prob of sequence alax.
1/30
What is prob of sequence bbv when three letters picked without replacement from bbvbvbr?
4/35
Calculate prob of sequence eww when three letters picked without replacement from {e: 2, w: 2, g: 2}.
1/30
Calculate prob of sequence mc when two letters picked without replacement from {n: 10, y: 5, w: 1, m: 1, c: 3}.
3/380
Calculate prob of sequence ooo when three letters picked without replacement from {j: 1, o: 14}.
4/5
What is prob of sequence ccc when three letters picked without replacement from {a: 15, c: 4}?
4/969
Two letters picked without replacement from {b: 1, z: 2, h: 1, u: 2, d: 1, c: 2}. Give prob of | {
"pile_set_name": "DM Mathematics"
} |
ow many grams are there in seven quarters of a kilogram?
1750
Convert 0.0036009 microseconds to nanoseconds.
3.6009
How many months are there in 1/16 of a millennium?
750
What is 3/40 of a litre in millilitres?
75
How many millilitres are there in 19/4 of a litre?
4750
What is 3/5 of a microgram in nanograms?
600
Convert 84327.83 years to months.
1011933.96
What is 847.2401 grams in micrograms?
847240100
What is three tenths of a century in decades?
3
How many millilitres are there in 11/4 of a litre?
2750
Convert 0.9995849 milliseconds to microseconds.
999.5849
How many micrograms are there in 301161.2 grams?
301161200000
How many centimeters are there in 82.44729 meters?
8244.729
Convert 32233.36 millennia to centuries.
322333.6
What is 63.17377 litres in millilitres?
63173.77
Convert 143492.9013ms to weeks.
0.00023725678125
How many litres are there in 259567.2 millilitres?
259.5672
How many litres are there in 0.7014133 millilitres?
0.0007014133
Convert 55494.69kg to milligrams.
55494690000
What is sixty-seven fifths of a millennium in centuries?
134
What is five quarters of a millimeter in micrometers?
1250
Convert 426853.7l to millilitres.
426853700
How many years are there in 41/2 of a century?
2050
What is 21/5 of a century in years?
420
How many minutes are there in five eighths of a week?
6300
What is 3/8 of a litre in millilitres?
375
How many millimeters are there in 6/5 of a centimeter?
12
How many millilitres are there in 1/4 of a litre?
250
Convert 1331.785 litres to millilitres.
1331785
Convert 62.92812 millennia to years.
62928.12
How many hours are there in 5/8 of a day?
15
How many years are there in 709.3659 decades?
7093.659
What is three tenths of a micrometer in nanometers?
300
What is 0.291318 milliseconds in seconds?
0.000291318
How many nanometers are there in 49.86913um?
49869.13
How many nanograms are there in 47/4 of a microgram?
11750
What is 6417.842 decades in months?
770141.04
How many litres are there in 3.017625ml?
0.003017625
Convert 27818.32 milligrams to micrograms.
27818320
What is twenty-five halves of a microgram in nanograms?
12500
What is 1/5 of a gram in milligrams?
200
What is 1/20 of a meter in centimeters?
5
What is one tenth of a litre in millilitres?
100
Convert 784.738g to micrograms.
784738000
How many months are there in one quarter of a year?
3
Convert 0.32164 millilitres to litres.
0.00032164
What is 12/25 of a milligram in micrograms?
480
How many tonnes are there in 65598.83 milligrams?
0.00006559883
How many millilitres are there in 37/2 of a litre?
18500
Convert 54.22004 millilitres to litres.
0.05422004
How many seconds are there in 43/3 of a hour?
51600
What is 27/2 of a gram in milligrams?
13500
What is three fifths of a millimeter in micrometers?
600
Convert 218828.7ug to grams.
0.2188287
What is 13/8 of a millimeter in micrometers?
1625
What is 0.0666493 kilometers in millimeters?
66649.3
Convert 0.7489603nm to meters.
0.0000000007489603
How many meters are there in 43/2 of a kilometer?
21500
How many millilitres are there in fifty-one quarters of a litre?
12750
What is one tenth of a century in years?
10
What is eleven halves of a litre in millilitres?
5500
Convert 12.6655179 hours to weeks.
0.0753899875
Convert 823.309 nanometers to kilometers.
0.000000000823309
How many nanometers are there in 745.529 centimeters?
7455290000
What is 82.81428ms in seconds?
0.08281428
What is 3/10 of a millimeter in micrometers?
300
How many millimeters are there in 37/5 of a meter?
7400
How many minutes are there in 16/7 of a week?
23040
What is four fifteenths of a decade in months?
32
What is three tenths of a millennium in months?
3600
What is 0.0328372nm in micrometers?
0.0000328372
How many millilitres are there in 7160.468 litres?
7160468
What is sixty-seven quarters of a meter in centimeters?
1675
How many centuries are there in 203171.34 months?
169.30945
How many millilitres are there in 51/5 of a litre?
10200
What is 144.5589ug in tonnes?
0.0000000001445589
Convert 648.7232 decades to millennia.
6.487232
How many hours are there in 5/4 of a day?
30
What is 6.014242 milligrams in tonnes?
0.000000006014242
What is 8.06932 millimeters in kilometers?
0.00000806932
How many months are there in eleven halves of a century?
6600
What is one tenth of a tonne in kilograms?
100
What is 27/2 of a decade in months?
1620
How many micrometers are there in seventy-seven halves of a millimeter?
38500
How many seconds are there in 8/15 of a hour?
1920
How many nanograms are there in 1/4 of a microgram?
250
How many decades are there in 2925620.4 months?
24380.17
How many decades are there in 25/2 of a millennium?
1250
How many millilitres are there in five quarters of a litre?
1250
How many milligrams are there in 38069.95 kilograms?
38069950000
What is twenty-five halves of a millennium in centuries?
125
What is six fifths of a litre in millilitres?
1200
How many grams are there in 5520.999 micrograms?
0.005520999
How many months are there in one quarter of a decade?
30
What is 6/5 of a century in months?
1440
What is 5667.48l in millilitres?
5667480
What is 4.665587ml in litres?
0.004665587
Convert 185.3781 grams to milligrams.
185378.1
How many seconds are there in 0.0095092ms?
0.0000095092
What is 51/4 of a millennium in years?
12750
Convert 7.461331 meters to millimeters.
7461.331
What is 3/8 of a day in hours?
9
How many milligrams are there in 29851.67ng?
0.02985167
What is 0.9587813 grams in micrograms?
958781.3
What is 7.635954 microseconds in seconds?
0.000007635954
How many milligrams are there in 25/8 of a gram?
3125
How many millimeters are there in 7/4 of a meter?
1750
Convert 814.3837 years to millennia.
0.8143837
How many milligrams are there in 13/4 of a gram?
3250
Convert 703018.2ml to litres.
703.0182
What is fifteen quarters of a gram in milligrams?
3750
What is 912068.2 millimeters in nanometers?
912068200000
What is 16006153.5ns in days?
0.00000018525640625
How many micrometers are there in 68.3632 kilometers?
68363200000
Convert 807132.3ns to minutes.
0.000013452205
What is 32/5 of a millennium in years?
6400
How many litres are there in 68666.48ml?
68.66648
How many years are there in 18.7157 decades?
187.157
Convert 106.2333 months to millennia.
0.008852775
How many seconds are there in 3/40 of a week?
45360
How many micrograms are there in 3/50 of a milligram?
60
How many years are there in 1872440.7 months?
156036.725
What is 0.1335915 centuries in decades?
1.335915
How many nanoseconds are there in 33/5 of a microsecond?
6600
How many nanoseconds are there in 0.2422439 minutes?
14534634000
How many decades are there in 7/4 of a millennium?
175
How many centimeters are there in 3/5 of a kilometer?
60000
What is 1761.541g in kilograms?
1.761541
What is 4/15 of a century in months?
320
What is 11/2 of a microgram in nanograms?
5500
How many decades are there in sixty-nine halves of a century?
345
How many centuries are there in 3/10 of a millennium?
3
What is 13/4 of a millennium in years?
3250
What is eleven halves of a micrometer in nanometers?
5500
What is 0.290993kg in milligrams?
290993
What is 27/5 of a litre in millilitres?
5400
Convert 0.2182096 days to seconds.
18853.30944
Convert 480682.5 millilitres to litres.
480.6825
Convert 3697.67cm to micrometers.
36976700
What is 11/4 of a litre in millilitres?
2750
How many milligrams are there in 3.709306 tonnes?
3709306000
What is 1/24 of a hour in seconds?
150
How many decades are there in 2.3606091 months?
0.0196717425
How many meters are there in 43/4 of a kilometer?
10750
How many litres are there in 7394.592 millilitres?
7.394592
What is 3/25 of a gram in milligrams?
120
How many meters are there in 56.55166 centimeters?
0.5655166
Convert 8.876933 weeks to milliseconds.
5368769078.4
What is 4.467554 milligrams in kilograms?
0.000004467554
How many decades are there in 975.3549 centuries?
9753.549
How many millimeters are there in 43/4 of a meter?
10750
Convert 0.4731294kg to milligrams.
473129.4
Convert 0.7920739 years to centuries.
0.007920739
Convert 4021.065 nanometers to millimeters.
0.004021065
How many millennia are there in 1.429874 years?
0.001429874
How many millilitres are there in seven eighths of a litre? | {
"pile_set_name": "DM Mathematics"
} |
-2). Let k(c) = c**2 + 7*c + 7. Let m be k(-5). Sort m, 5, n.
m, n, 5
Let k = 2 - 2.2. Let r = 25 + -20. Sort k, r, -3 in decreasing order.
r, k, -3
Let h(t) = t**3 - 7*t**2 + 5*t - 2. Let p be h(6). Let m be (p/6)/((-6)/9). Let q be m/3*6/(-3). Sort 0.2, q, 5 in descending order.
5, 0.2, q
Let w = -703 - -703. Suppose -5*s = -3*x - x + 17, 2*s - 5*x = 0. Put -3, w, s in increasing order.
s, -3, w
Let w = -0.4 + 0.6. Let z(k) = -k**3 + 6*k**2 - 5*k - 3. Let x be z(5). Let j = 2 + x. Sort w, -5, j.
-5, j, w
Let f = -0.4 + -0.1. Let g = 1.4 - 5. Let m = g - -0.6. Put 1/8, m, f in increasing order.
m, f, 1/8
Suppose -3*s = s. Let f(y) = -6*y + 1 + s + 2*y + 3*y. Let u be f(1). Put u, 3/8, 0.4 in increasing order.
u, 3/8, 0.4
Let a = 12 - 8. Let q(u) = u**2 + 5*u - 1. Let p be q(-5). Suppose -v - 5*o + 5 = -20, 0 = -o + 4. Sort v, p, a in decreasing order.
v, a, p
Let q = 7 + -7.01. Let t = 1.99 - q. Let l = t - 4. Put -0.5, 1, l in descending order.
1, -0.5, l
Let k = 35 + -173/5. Put k, -1, -2/13 in ascending order.
-1, -2/13, k
Let z = -7 + 3. Let l = -0.4 + -4.6. Put l, z, -2 in descending order.
-2, z, l
Let j(l) = -129*l + 3. Let y be j(-3). Let p be 2/13 - 112/y. Sort 1/6, 1/2, p.
p, 1/6, 1/2
Suppose w = -2*j - 1, 0*j - 16 = 2*j + 4*w. Let c be 20/(-8) - j/(-4). Let y be -3*3/(-18)*0. Sort -3, c, y in decreasing order.
y, c, -3
Let n be (-140)/(-30) - 1/(-3). Let a = 47 - 28. Suppose 2*y - 2*l = -y - a, 3*l = -n*y. Put 3, y, -4 in increasing order.
-4, y, 3
Let c = -0.8 + 3.8. Let h = c + -1. Suppose -5*i - 8 = -33, -3*g + 5 = -2*i. Put h, 1/3, g in decreasing order.
g, h, 1/3
Let k be (1/2)/(-8*7/(-112)). Sort k, 0, -3, -4 in descending order.
k, 0, -3, -4
Suppose -j = -12 + 9. Sort 0, -2/15, j.
-2/15, 0, j
Suppose 0*i + 10 = -5*i. Let k(j) = j**2 + 3*j + 1. Let h be k(i). Let l(f) = f + 2. Let z be l(-5). Sort z, 2, h in descending order.
2, h, z
Suppose y - 2*r = 0, 0 = -2*y - 7*r + 2*r + 27. Put 1, -2, y in descending order.
y, 1, -2
Let k be 3/(-24) - 143/520. Put -0.19, -0.1, k, 1 in increasing order.
k, -0.19, -0.1, 1
Let k(m) = 2*m + 9. Let r be k(-6). Let w = 6 - 4. Put r, w, -4 in increasing order.
-4, r, w
Let u be 3 - (-3)/((-12)/32). Let z = u - -3. Put 1, 2, z in decreasing order.
2, 1, z
Suppose -12 = 3*t + t. Suppose -4*w + 4*n - 4 = -0*n, 4*w + 3*n - 17 = 0. Suppose -3*m - w*m = -10. Sort t, m, 5.
t, m, 5
Let y = 22 - 23. Sort y, -5, -2/19 in decreasing order.
-2/19, y, -5
Let v = -3 + 5. Let t = -2 + v. Let m be t - (-3 + 2) - 0. Put -5, 2, m in decreasing order.
2, m, -5
Let i = 45.9 + -46. Put 4, i, -7 in descending order.
4, i, -7
Let t be (4/16)/((-22)/16). Put 0, 0.3, -5/6, t in decreasing order.
0.3, 0, t, -5/6
Let q = 12 - 14. Sort q, -4/9, 5 in descending order.
5, -4/9, q
Let x(n) = n**2 + 3*n - 5. Let s be x(-5). Let a = 29.4 - 23. Let j = -6 + a. Put s, j, 1 in decreasing order.
s, 1, j
Let l be -3 + 1*18 + -2. Let w(q) = -2 + 2*q**3 - 4*q**3 + 14*q**2 + q**3 - l*q. Let y be w(13). Put y, 0, 3 in increasing order.
y, 0, 3
Let z be ((27/6)/(-1))/((-2)/(-8)). Sort 1, -3, z.
z, -3, 1
Let z(b) = b**2 - 13*b + 21. Let u be z(11). Sort 3/8, -0.1, u, 3.
u, -0.1, 3/8, 3
Let q be (48/(-32))/(3/(-10)). Suppose 0 = -q*z + 6*z + 4. Suppose 6 + 19 = 2*h + 5*d, -3*d = -2*h - 15. Sort h, z, 4 in ascending order.
z, h, 4
Let j be (-8)/6*(-4 - (2 - 3)). Put j, 2, 22 in decreasing order.
22, j, 2
Let s be (1 + -10)*((-10)/(-15))/2. Sort -5, -1, s, 3 in decreasing order.
3, -1, s, -5
Let i be 2/5 + (-12)/5. Let c be (i/(-4))/(66/(-24)). Let n be 12/(-4) + 29/9. Put c, 0.5, n in descending order.
0.5, n, c
Let u = 5 + -8. Put 3, 4, u in increasing order.
u, 3, 4
Let h be (-19)/((0 - -3) + -2). Let b = -9 - h. Let k be 4/b + (-2)/5. Sort -3, -1, k in decreasing order.
k, -1, -3
Let w = 72 + -75. Let a(s) = s**3 + 6*s**2 + 6*s + 4. Let y be a(-5). Let p = 9 + -5. Sort w, p, y in descending order.
p, y, w
Let k = 263/9 - 29. Sort -9, 0.2, k.
-9, 0.2, k
Suppose 5*u - 4*i = u - 32, 0 = 5*u - 4*i + 35. Put 8, 0, u in decreasing order.
8, 0, u
Let w be (8/(-70))/(-1 + (-6)/(-10)). Put 0.26, w, 4 in ascending order.
0.26, w, 4
Let o(s) = -s**2 - 9*s + 3. Let t be o(-9). Suppose w = t*w + 10. Sort w, 0.4, 5 in descending order.
5, 0.4, w
Let k be (2 + 5/10)*6/5. Sort -1, k, -4, -5 in ascending order.
-5, -4, -1, k
Let l = 26 - 46. Let p = l + 22. Let r = 0.2 - 0.7. Sort r, 0.2, p in increasing order.
r, 0.2, p
Let q = -8 - -6. Let h be (5 + -4)*6/q. Let s be 10/8 + 1/(-4). Sort h, 0, s in descending order.
s, 0, h
Let k be (-2)/8 - 1/(-4). Let g = -606 + 605. Let m be 4/(2*-1) - 0. Sort m, k, g in decreasing order.
k, g, m
Let p be (-2 - 16/(-4)) + (-14)/10. Put p, 0.01, 4 in ascending order.
0.01, p, 4
Let w(y) = y**3 + y**2 + y + 4. Let i be w(0). Suppose i*d = -p - p + 12, d + 4*p = -11. Put d, -5, -3 in descending order.
d, -3, -5
Let c(k) = k**2 + 5*k + 5. Let j be c(-1). Suppose 3*i = 2*t + 8, -2*i = 2*i + 5*t + 20. Let x be -1*(-2)/(-4)*i. Sort j, x, 2 in descending order.
2, j, x
Suppose 2*c + 20 = -0. Let k = -16 - c. Let u be 2/k - (-20)/12. Sort u, 3/4, 5 in ascending order.
3/4, u, 5
Suppose -4*f - 8 = 4*c, 0*f + f + 3*c - 2 = 0. Suppose 5*z - 8 = 2. Suppose -3*v = -z*v - 2. Sort v, -3, f in descending order.
v, -3, f
Let c = -1 - 3. Put 5, -6, -2, c in increasing order.
-6, c, -2, 5
Let s = 4 - 2. Suppose -2*b = b + 5*i + 10, s*b = 5*i - 15. Put 0.2, b, 3 in decreasing order.
3, 0.2, b
Let o be (48/8)/(3/(-2)). Sort 3, o, 5.
o, 3, 5
Let k = -0.5 + 0. Let f = 0.24 + 9.76. Let q = f - 13. Sort 1, q, k in decreasing order.
1, k, q
Let x(k) = -2*k - 14. Let j be x(-8). Put -3, j, -4 in decreasing order.
j, -3, -4
Suppose -4 = -s + 3*w - 3, -12 = -4*s + 4*w. Let o be (1/(-2))/((-1)/(-4)). Put -4, o, s in descending order.
s, o, -4
Let h = 27 + -32. Put 5, -2, h in decreasing order.
5, -2, h
Suppose -4*i = -5*n - 7, 0*i - 17 = 5*n + i. Let o = -5 - -9. Sort -5, o, n.
-5, n, o
Let k = 0.47 + 0.105. Let q = k + -0.035. Let g = q - 0.04. Sort 0.2, g, -4 in decreasing order.
g, 0.2, -4
Let m(s) = 2*s**2 - 20*s. Let l be m(10). Suppose 0*j + 15 = 5*j. Sort -1, j, l in descending order.
j, l, -1
Suppose -4*c - 6 = -2. Let a be -1 - (-1)/(-1)*-3. Suppose -a*h = -5*h. Sort c, -2, h in descending order.
h, c, -2
Let q = -0.249 - -2.249. Let l = -0.2 + 0.7. Sort 1, q, l in decreasing order.
q, 1, l
Let b = -143.2 + 143. Sort -4/3, b, 0.3, 0.4 in decreasing order.
0.4, 0.3, b, -4/3
Let b = 16 + -6. Suppose -5*u = 25, -3*u - b = 5*h + u. Suppose 15*d = 14*d - 1. Sort d, -5, h in decreasing order.
h, d, -5
Let o = 0 + 3. Let s = -26.5 + 26. Let b = s - -0.1. Put -3, b, o in decreasing order.
o, b, -3
Let v = 2 + -4. Let f be (v/16)/((-10)/20). Suppose 3*w + 2*z - 3*z = 3, 3*w + 15 = -5*z. Sort f, w, -2/9 in decreasing order.
f, w, -2/9
Let l = -2.074 + 0.074. Sort -1, l, -4, 2/9.
-4, l, -1, 2/9
Let r be 3*((-3 - -2) + 0). Let p = r - -1. Put 3, 0, p in descending order.
3, 0, p
Let z be 10/350 + (-3)/7. Sort -2, z, 8.
-2, z, 8
Let u = 0.9 + -0.1. Let n = u + -0.3. Let v = 0 - n. Sort v, 0.1, -3 in descending order.
0.1, v, -3
Suppose 29 = -8*q - 11. Suppose 2*p = -0*p + 8. Let l = p - 8. Sort 4, l, q in ascending order.
q, l, 4
Let l(i) = i**2 + 4*i - 3. Let j be l(-4). Suppose -q = 5*c - 22, -3*q + 22 = 3*c + c. Sort j, c, -2 in decreasing order.
c, -2, j
Let s = -2 + 1.5. Let n = 30 - 25. Sort s, n, 2/13 in ascending order.
s, 2/13, n
Let z = -0.5 - 1. Let y = 1.3 + z. Sort y, -6, 1/2 in descending order.
1/2, y, -6
Let n = -2 + 2. Let l = 0 + 0. Suppose j = -3*c - 3*j + 3, -4*c + 5*j + 35 = l. Sort 4, c, n.
n, 4, c
Suppose -5*h + 14 - 4 = 0. Suppose 4*r = 3*r + 5. Suppose -a = -r*a - 4. Sort a, h, -5 in descending order.
h, a, -5
Let y = -1 - -1. Let j(v) be the third derivative of v**4/24 - 3*v**2. Let d be j(1). Put -4, d, y in descending order.
d, y, -4
Let x = 30 + -26. Sort 2, -1, x.
-1, 2, x
Let a = -0.004 - 0.096. Sort 0.2, a, -0.01.
a, -0.01, 0.2
Suppose 2*y = 3*y. Let s = 5 - 7. Put s, 4, y in decreasing order.
4, y, s
Suppose 3*s + 9 = 0, j + 0*s - s = 0. Put j, 5, 22 in ascending order.
j, 5, 22
Let d = -5 - -3. Let p = 2 - 5. Let c be -3 + (-2 - (1 + p)). Sort c, d, 0.4 in increasing order.
c, d, 0.4
Let q = -0.047 + -2.953. P | {
"pile_set_name": "DM Mathematics"
} |
- 82*a**3)*(1 + 1 - 8).
6*a**4
Expand (-8*g**2 + 5*g**2 - 6*g**2 - 32*g**2 - 11*g**2)*(-6*g**2 + 3*g**2 + 0*g**2).
156*g**4
Expand 2150*x**5 - 640*x**5 - 1041*x**5 - 3*x**5 + 0*x**5 + x**5 + (4*x**2 - 4*x**2 + x**2)*(-x**3 + 2*x**3 + 0*x**3).
468*x**5
Expand (-3*w - 3*w + 2*w)*(-9*w - 12*w**2 + 9*w).
48*w**3
Expand 1221*j + 1122*j + 893*j - 1081*j + (3*j + 2*j - 4*j)*(-4 + 4 + 1).
2156*j
Expand (j**4 + 3*j - j - 2*j**4)*(-300 + 42 + 62).
196*j**4 - 392*j
Expand (-27 + 10 - 10)*(-y + 2*y + y).
-54*y
Expand (22*g + 9*g + 18*g)*(3*g**3 + 3*g**3 - g**3).
245*g**4
Expand ((r + 2*r - r)*(-r**2 - r**2 + 0*r**2) + 2 + r**3 + 0 + 2*r**3)*(-4*r + 5*r - 5*r).
4*r**4 - 8*r
Expand -x**3 + x**3 - 2*x**4 + 3*x**4 - 2*x**4 + 0*x**4 + (-3*x**3 + 3*x**3 + 2*x**4)*(-1 - 1 + 0) - 160*x**4 + 141*x**4 - 261*x**4.
-285*x**4
Expand 76*i**2 - 25*i + 23*i - i**2 + (i - 3*i + i)*(-i + 2 - 2) + 0*i + 2*i**2 + 0*i.
78*i**2 - 2*i
Expand ((1 - 2 + 0)*(2 + 1 - 2) + 5 - 2 - 4)*(-2 - 1 + 4)*((0 + 0 + 2*s)*(0 - 2 + 0) + 5*s + s + 3*s).
-10*s
Expand -51 + 51 - 11*x**3 + (x**2 + x**2 + 0*x**2)*(5*x - x + 3*x) + 0*x**3 + 3*x**3 - x**3.
5*x**3
Expand m**3 + 0*m + 0*m + (-m**3 - 3*m**3 + 6*m**3 + (-m**3 - 4*m**3 + 3*m**3)*(1 + 4 - 7))*(1 + 6 - 1).
37*m**3
Expand -9*g**3 - 6*g**3 - 2*g**3 - 3*g**3 - 4 + 4 + 0*g**2 + 0*g**2 + g**3 + (-g**2 - 2*g**2 + g**2)*(2*g + g - g) + 3*g**3 + g**3 - 3*g**3.
-22*g**3
Expand (-15 + 15 + u)*(6*u**2 - 5*u**2 - 4*u**2)*(-1 + 5 - 2).
-6*u**3
Expand z**2 - z**2 + z**4 + (3*z - 4*z + 2*z)*((-z + z - 2*z**2)*(2*z - 5 + 5) + z**3 + 4*z**3 - 3*z**3 + (67 - 67 - 13*z)*(-25 + z**2 + 25)).
-14*z**4
Expand (31*s + 1 - 16*s + 9*s**2 - 13*s)*(-3*s + s - 3*s).
-45*s**3 - 10*s**2 - 5*s
Expand 0 - 3*a + 0 + (-9 + 8 - 14)*(a + a - a).
-18*a
Expand (72*a**3 + 70*a**3 - 19*a**3 + 3*a**3 + 0*a**3 - a**3 + (-2*a + 0*a + a)*(3*a**2 + 2 - 2))*(0 - a + 0).
-122*a**4
Expand (4*d - 2 + 2)*(-173 + 25*d + 173).
100*d**2
Expand 0*b**2 - 3*b**2 + 5*b**2 + (-5*b + 3*b + 4*b)*(2*b + 2*b - 8*b) + b**2 + 3*b**2 - 5*b**2 - 5*b**2 + b**2 + 2*b**2.
-9*b**2
Expand (4*n**2 + 0*n**2 - 5*n**2)*((26*n**2 + 25*n**2 - n**2)*(-5*n - n + 5*n) + 0*n + 3*n**3 + 0*n).
47*n**5
Expand (-2 - 13 - 5 - 15)*(4*j - 2*j + 0*j).
-70*j
Expand (0*p - p + 0*p)*(-1 + p + 1) + (-10*p - 13*p - 6*p)*(-3 + 1 - 6)*(0 + 0 + 4*p).
927*p**2
Expand (3*t - 5*t - 8*t)*(1 + 0 + 1) + t + 0*t - 2*t + (-t - 2*t + t)*(-2 + 5 - 2).
-23*t
Expand (9 - 6 + 8)*(12*c + 8 - 3*c - 6).
99*c + 22
Expand (-4*y + 3*y + 0*y)*(-4 + 1 - 1) + y + 0*y - 3*y + 8*y + 8*y + 4*y + y + 3*y - 2*y + (y + y - y)*(0 + 1 + 1) + y + y - y.
27*y
Expand (0*s**3 + 3*s**3 - 4*s**3)*(0*s**2 - s**2 + 3*s**2) + 0 + 0 + s**5 + (3*s**3 + 5*s**3 + 4*s**3)*(s**2 + 2*s**2 - s**2).
23*s**5
Expand (30 + 15 - 1)*(5*w + w - 3*w)*(-3 + 3 + 2).
264*w
Expand (2*b - 5*b + 2*b)*(-2*b**4 - b**4 + 12*b**4) - 11*b**5 + 33*b**5 + 6*b**5 + 47*b**5.
66*b**5
Expand (47 + 55 - 7*g**2 - 98 - g)*(54 - 54 + 39*g)*(-5*g + 3*g + 3*g).
-273*g**4 - 39*g**3 + 156*g**2
Expand (8*p**2 - 11*p**2 - 2 + 18*p - 41*p)*(-14*p**3 + 11*p - 11*p).
42*p**5 + 322*p**4 + 28*p**3
Expand (-3*w + 3*w - w**2)*(-4*w**2 + 0*w**2 - 3*w**2) + (-1 + w**3 + 1)*(-5*w + 0*w + 3*w) - 5*w**4 + 2*w**4 + w**4 - w**4 + 0*w**4 + 0*w**4.
2*w**4
Expand (4 - 4 + l + 2 + (3 + 2 - 4)*(-2*l + 4*l + 0*l))*(2 + 5 - 4)*(-1 + 2 + 1).
18*l + 12
Expand (o**2 + 2*o**2 + 0*o**2)*(-2717 - 2*o**3 - 2*o**3 + 2749).
-12*o**5 + 96*o**2
Expand (-3*r + r - r - r - r + 0*r + (0 - 1 + 2)*(-r + r + r) + 3*r + 3*r - 4*r)*(2 - 2 + 2*r) + (4 - 5 + 0)*(1 - 1 + 2*r**2) - r**2 + 3*r**2 + 12*r**2.
8*r**2
Expand (a - 4*a + a + (2*a - 1 + 1)*(-3 + 2 + 0) + (-5 + 2 - 1)*(-3*a + 2*a - a))*(-3*a + 0 + 6*a + 1).
12*a**2 + 4*a
Expand (2*t**3 - 3*t**3 - 6*t**3 - 2*t**3 + t - t + (t + t + 0*t)*(-4*t + 2*t**2 + 4*t) + t**3 + 3 - 3)*(8 + 2 - 17)*(2*t + 0*t - 5*t).
-84*t**4
Expand 3*y**2 - 3*y**2 - 2*y**5 + 7*y**5 - 3*y**5 + 52*y**5 + (4 - 4 - y**2)*(0*y**3 - 4*y**3 + 3*y**3).
55*y**5
Expand -2*s**3 + 2 - 2 - s**3 + 3*s**3 - 3*s**3 + (3*s**2 - s**2 + 0*s**2)*(-1 + 1 + s) + 8*s**2 + 12*s**3 - 8*s**2.
11*s**3
Expand -s**4 - 3*s**5 + 4*s**5 + 4*s**4 + s**5 + 4*s**5 - 3*s**5 + (0*s**3 - 3*s**3 - 2*s**3)*(-3*s**2 - 3*s**2 + 4*s**2).
13*s**5 + 3*s**4
Expand (-3*v + 29*v - 8*v)*(7*v + 58 - 58) - 7*v + 4*v**2 + 7*v.
130*v**2
Expand (2 - 2*w - 2)*(-41*w + 106*w + 122*w).
-374*w**2
Expand (-5 + 17 + 1)*(0*k**3 + k**3 + 0*k**3).
13*k**3
Expand 0*l**2 - 3*l**2 + l**2 + (-l + 3*l - 4*l)*(2*l + 2 - 2) + 0*l**2 - 3*l**2 + 4*l**2 - 144*l**2 - 158*l**2 + 71*l**2.
-236*l**2
Expand (3 - 3 - t**4)*(-t + 3*t - 5*t - 4*t + 3*t + 0*t + t - t - t + (4 - 3 - 3)*(2*t + 1 - 1) + (-3*t - 4*t + 5*t)*(1 + 5 - 4)).
13*t**5
Expand 33*n**3 - 54*n**3 - 97*n**3 + (-n**3 - n**3 + 3*n**3)*(4 + 1 - 4).
-117*n**3
Expand (-5 - 6 - 3)*(-4 - 1 + 2)*(-7*s + 9*s + 5*s).
294*s
Expand (4 - 4 - 19)*(-169*w**2 - 192*w**2 + 318*w**2) + 6*w**2 - w**2 - 3*w**2.
819*w**2
Expand (3*w - 2*w + 2*w + (4 + 1 - 4)*(-4*w + 0*w + 6*w) - w + w + 3*w)*(-w**2 + 3 - 3).
-8*w**3
Expand (-4 + 4 - 6*y)*(39 + 7 + 11).
-342*y
Expand -35*y**2 + 32*y - 65*y + 34*y + (y**2 + 0*y**2 + y**2)*(-3 - 4 + 5) - 2*y**2 - y**2 + 0*y**2.
-42*y**2 + y
Expand (38 - 38 + 73*c)*((0 + 4*c + 0)*(-4 + 4 - 2*c) - 2*c**2 + 3*c**2 - 3*c**2).
-730*c**3
Expand (7*c - 15*c + 7*c)*(5*c - 2*c + 0*c + 2*c).
-5*c**2
Expand (-34*s**2 + 34*s**2 + 26*s**2)*(4 + 0 - 1)*(-4 + 2 + 3)*(0 - 4 + 0)*(-2*s + 2*s + 2*s).
-624*s**3
Expand (2 - h - 2)*(-2*h**4 + h**4 - h**4) - 7*h**5 + 2*h**5 - 5*h**5 + (-2*h**5 - 3*h**5 + 2*h**5)*(2 - 1 + 0).
-11*h**5
Expand (-4*t + 3*t + 2*t)*(-8*t + 10 - 10 - 3) - 5*t**2 - 13 + 13.
-13*t**2 - 3*t
Expand (-5 - 5 - 2*j + 8)*(-2*j - j + 2*j).
2*j**2 + 2*j
Expand (2 + k**2 + 3*k**2 - 6*k**2)*(101*k - 94*k + 79*k).
-172*k**3 + 172*k
Expand (-2*a + 4*a + 0*a + 2*a - 4*a + a + (-3*a + 3*a + 2*a)*(-3 + 1 + 3) + 1 - 1 + 2*a - 5 + 5*a - 3*a + 4)*(-190 + 91 + 89 - a).
-7*a**2 - 69*a + 10
Expand (584 - 14*l - 554 + 17*l)*(-l + 0*l + 0*l).
-3*l**2 - 30*l
Expand -47*u**5 + 48*u**5 + 64*u**5 + (-u**2 - 10*u + 10*u)*(-3*u**3 + 3*u**3 - u**3).
66*u**5
Expand 2*c - 3*c + 2*c + (-3 + 1 - 1)*(-c - 1 + 1) + (-2*c + 0 + 0)*(1 + 2 - 4) + 6*c + 1 - 1.
12*c
Expand (-1 - 1 + 8)*(-27 + 6 - 10)*(0*c + 0*c - 2*c).
372*c
Expand (17 + 37 + 57)*(-b**2 + 4 - 4).
-111*b**2
Expand (4*h**3 - 2*h**3 - 3*h**3)*(-2*h**2 - 2*h**2 + 2*h**2) + 3*h**5 + 3*h**5 - 4*h**5 + 300*h**4 + 8*h**5 - 604*h**4 + 296*h**4.
12*h**5 - 8*h**4
Expand x**2 - x**2 + 3*x**2 + (0*x**2 - x**2 + 3*x**2)*(-3 - 1 + 6) - 2 - 39*x**2 - 3585*x + 3585*x.
-32*x**2 - 2
Expand (5*f - 2*f - f + (5 - 5 - 2*f)*(-2 + 1 - 2))*(-2 + 5 - 6 - 6).
-72*f
Expand (36*b**3 - 14*b**3 - 16*b**3)*(-17*b + 17*b + 26*b**2).
156*b**5
Expand -1 + 1 - 7*a + (3 - 2 - 3)*(-4*a + 2*a - 2*a) - 3*a + a - 2*a.
-3*a
Expand (10*f**4 + 4*f**4 + 28*f**4)*(-2 - 2 + 0).
-168*f**4
Expand (-14*o + 5*o - 11*o)*(2*o + 0*o + 0*o) + 113*o + 4*o**2 - 112*o - 9 - 3*o**2.
-39*o**2 + o - 9
Expand (0*y**2 - 2*y**2 + 0*y**2)*(-y - 8*y**3 + y) + y**5 + 4*y**4 - 4*y**4 + (-y**4 + 3*y**4 + 0*y**4)*(0 + 3*y + 0).
23*y**5
Expand ((-4*s + 0*s + 2*s)*(2 + 2*s - 2) - s**2 - 5*s + 4 + 5*s)*(13*s**3 - 32*s**3 + 30*s**3).
-55*s**5 + 44*s**3
Expand (-15 + 118 - 52)*(3*f**4 - 5*f**4 + f**4)*(3*f - 3*f + f).
-51*f**5
Expand (b**2 - b**2 + 8*b**3)*(-18 - 32 - 15 - 28 + 34).
-472*b**3
Expand 1 - 3*t**2 + 3*t**2 + 2*t**2 + (-3*t + 4 - 4)*(-3 - 3*t + 3) + (2 - 2 - 3*t)*(-4 + 4 - 2*t).
17*t**2 + 1
Expand 435*y + 1123 - 1123 + (-2*y + 0*y + 0*y)*(4 - 6 + 1) - y - 4*y + 4*y.
436*y
Expand (2 + 5 - 2)*(-10*p - 13*p + p) + 9*p - 120 + 120.
-101*p
Expand (0*r**2 - 15*r**2 - 10*r**2)*(1 - 1 + 2*r**3 - 5*r**3 - 19*r**2 + 19*r**2 + 5*r**3 + 0*r**3 - 3*r**3 + (-r**3 - 3*r**3 + 2*r**3)*(-2 + 1 + 3)).
125*r**5
Expand (0 + 6 + 1 + b**2)*(-2*b**3 - 5*b**3 + b**3)*(-1 + 1 - 4).
24*b**5 + 168*b**3
Expand (5 - 4 + 1)*(-4*c + 0*c + c + (6*c - 5*c - 2 + 0)*(3 - 2 - 2)*(6 - 3 - 1)).
-10*c + 8
Expand (33 - 34 - 34)*(2*c + 0*c + 0*c) + (c + c - c)*(-3 + 4 + 1).
-68*c
Expand (a - a - a**2)*((0 - 1 + 3)*(-6 + 2 - 4)*(-5 + 5 - 8*a) - 2*a - 3*a + 0*a).
-123*a**3
Expand (5*j**2 - 2*j**2 + 2*j**2)*(424 - 30*j - 424)*(1 + 4 - 4).
-150*j**3
Expand (0*a**3 - 4*a**3 + 3*a**3)*(a - 2*a - a) + (-1 + 1 | {
"pile_set_name": "DM Mathematics"
} |
et y be (-5)/(1 - 0/(-2)). Let t be (-3)/(21/(-35))*-1. Let f be (-2)/y*t/(-6). What is the third smallest value in -3, -4/3, f?
f
Let q be -4 + (15 + -22)*1/(-7). Which is the second smallest value? (a) 8 (b) q (c) 14
a
Suppose 7*t - 3*t = 84. Let o = t + -10. Let k = -6 + o. Which is the third biggest value? (a) -0.4 (b) k (c) -1/3
a
Let s(g) = -g**2 + 10*g + 2. Let y be s(9). Let u be 4 + -1 + (6 - y). Let q be 5/(-8) - u - 1. Which is the third biggest value? (a) 1/2 (b) -2 (c) q
b
Suppose 0 = -8*u + 3*u - 5*r + 25, -u + 5*r = 13. Let f be 2 + (0 - 5*u/6). Let o(m) = -2*m. Let y be o(1). What is the smallest value in y, f, -5?
-5
Let d = 0.1 + -0.1. Let n = d + -0.1. Let w = 2423/35 + -486/7. Which is the third biggest value? (a) n (b) w (c) 0
b
Let m = 120 - 359/3. Let t be (-2)/(-9) + 6/(-27). Let k be (-1)/((t + 18)/(-3)). Which is the second smallest value? (a) k (b) m (c) 3
b
Let k be 6/16*(-4)/(-7). What is the third biggest value in k, -0.5, -1?
-1
Suppose -54 - 132 = -6*q. Let y = 30 - q. Let o be 6*1*y/(-2). What is the third smallest value in -5, 0.4, o?
o
Suppose -y + 8 = -2*j, 8 = 4*y + j - 24. What is the smallest value in y, 5/3, -0.5?
-0.5
Let w = 287.1 + -264. Let x = w + -23. Let m = 5.7 + -6. Which is the biggest value? (a) 3 (b) x (c) m
a
Let s = -1.98 + -0.02. Let u = s - -4. Let o = -964 - -4818/5. Which is the third biggest value? (a) o (b) -1 (c) u
b
Let c(x) = x**2 - 8*x + 1. Let y be c(7). Let o be (-2)/y*(-30)/(-110). What is the third smallest value in 1, -1, o, -0.4?
o
Let w be 519/513 + (-1)/1. Let j = w - -4/19. Let y be 0/(2 + -3 + 0). What is the smallest value in y, j, -1?
-1
Let z = 3.56 - 7.56. Which is the third smallest value? (a) -4/9 (b) z (c) 4 (d) -0.2
d
Let t = -49.5 + 50. Let h = t - -1.5. Which is the smallest value? (a) h (b) -1 (c) -0.5
b
Let h = -7.68 + 7.38. Let p be ((-20)/(-8))/(1/(-2)). Which is the smallest value? (a) p (b) 0.5 (c) 4 (d) h
a
Let h = -0.49 - -0.25. Let o = -0.76 + h. Which is the third smallest value? (a) 4/3 (b) o (c) 2
c
Let j = 121.82 + -123. Let p = 9 + -9.18. Let q = j - p. What is the second smallest value in -4/7, q, 0.3?
-4/7
Let u = -9.2 - -11.2. Let y = -2 - 21. Let h = y + 12. Which is the third biggest value? (a) -0.1 (b) h (c) u
b
Let d = 215 - 212.99. Let m = d + -1.01. Let y = 88 + -268/3. Which is the biggest value? (a) m (b) y (c) -0.08
a
Let o = -5 - -4.7. Let a = -422 + 843/2. Suppose 0 = g + 2*w - 3 + 1, -3*w + 1 = g. What is the second biggest value in o, a, g?
o
Let h = -3.0976 - -0.0976. Which is the second smallest value? (a) h (b) -0.4 (c) -56
a
Let l be 6/(-33) + 26/22. Let q = -1.371 + 0.371. Which is the third smallest value? (a) l (b) 3 (c) q
b
Let d = -122.8 + 122.4. What is the second biggest value in -2, 5, d, -17?
d
Let h = -0.37 - -2.37. Let q be 2101/52 - 4/16. Let o = q + -40. What is the third biggest value in h, 4, o?
o
Let z be 6/4 + 52/(-8). Let l(v) = v**2 + 5*v - 4. Let s be l(z). Let d = 48 + -193/4. Which is the third smallest value? (a) -2 (b) s (c) d
c
Let q = 12 - 7. Suppose -w = -q*w. Let i be 8 + w + (-24)/6. Which is the third biggest value? (a) i (b) -4 (c) 2/5
b
Let t = 49 + -43/2. Let z = t - 393/14. Let h = 0.34 + -0.54. What is the third biggest value in z, 0.5, h?
z
Let r = -0.00545 - -4.00545. Let u = 1.5 - 1. Which is the third smallest value? (a) r (b) 1/9 (c) 5 (d) u
a
Let f = -171 - -174. Which is the third biggest value? (a) f (b) 3/11 (c) -2/7
c
Let s = 106 - 955/9. Let y = 7385 + -7378. What is the fourth smallest value in s, y, -1, -2?
y
Let n(y) = -y**2 + 5*y - 11. Let t be n(9). Let k = t - -66. Which is the biggest value? (a) k (b) 0.4 (c) -0.3
a
Let i(d) = 10*d - 182. Let x be i(18). Let l = 2 + 2. Let o = -3 + l. Which is the second smallest value? (a) x (b) -1/2 (c) o
b
Let f = 3.723 - -0.277. What is the third smallest value in 6, -0.3, -1, f?
f
Let d be (-2)/(-6) + (-28)/(-6). Suppose -4*t + 7 = -d. What is the biggest value in t, -2/19, -0.1?
t
Let t(p) = -p**2 - 12*p - 19. Let q be t(-8). Suppose q*i - 9*i = 0. Which is the smallest value? (a) i (b) -1/2 (c) 4
b
Let l be 12 - 2/(-2)*-9. What is the second biggest value in l, 1, 4.1?
l
Let v be (-52)/(-13) - (0/(-1) - 2). Let j be 2172/546 - (v - 2). What is the third smallest value in 0, j, 1?
1
Let t(u) = -3*u**3 - u**2 + u + 2. Let b be t(-2). Let m be b/(-5) + (-60)/(-16). Let s be 1/2*(4 + 0). What is the biggest value in m, s, -2/5?
s
Let v(r) = r**2 - 4*r - 3. Let s be v(-1). Which is the second smallest value? (a) s (b) -3 (c) 0.07 (d) -1/8
d
Let h = 315 - 320. Which is the third biggest value? (a) 2/9 (b) h (c) 1/20
b
Let v = -2298500388997363/27830 + 82590743527. Let g = 14906/121 - v. Let o = 1/115 + g. Which is the smallest value? (a) o (b) 1 (c) -5
c
Let l = -5/7 - -69/77. Which is the fourth biggest value? (a) -1 (b) l (c) -1.2 (d) 0.2
c
Let t be 6 - (-168)/(-20) - (-3)/(-5). Which is the second biggest value? (a) -2.2 (b) -2 (c) t
a
Let v be 1*(12/8 + (-54)/12). Which is the second smallest value? (a) -4 (b) 2/9 (c) v (d) -7/18
c
Let y = 994.4 + -995. Which is the smallest value? (a) -1 (b) 0.4 (c) y
a
Let r(s) = -2*s + 20. Let f be r(13). Let m be (-24)/100*160/f. Let i = m - 34/5. What is the third smallest value in 3/7, i, 4?
4
Let y be 0/(-1 - -1 - -1). Let p = -13691 + 13688. Which is the third smallest value? (a) y (b) 2/7 (c) p
b
Let w = 482 + -482.4. Which is the third smallest value? (a) -7 (b) -0.12 (c) w (d) 2/5
b
Let l be ((-76)/4)/((-3)/(-7)). Let c = 42 + l. Let h = 13/6 + c. What is the smallest value in 4, h, 6?
h
Let p = 46 - 46. Let o be 8/(-26)*1/2. Let l = -1.9 + 2. Which is the third smallest value? (a) o (b) l (c) p
b
Let t be (-28)/(-14) - (-30)/(-16). Let c = -3.1 - -3. Let h = c + 0.6. What is the biggest value in h, 0.4, t?
h
Let p = -0.43 + 0.13. Let q = 47/6 - 811/102. Let g = 11/48 - -1/48. What is the third smallest value in p, q, g?
g
Let p = 0.07 + -3.07. Let j = 1391 + -5563/4. What is the second smallest value in 1/2, p, 0, j?
0
Let j be 6 + (-592)/90 + 0. Let i = j - -4/5. Let y be (-4)/10 - (-2)/(-20). What is the third biggest value in y, 2/5, i?
y
Let o = -52.9 - -53. Let u = 0.14 - o. Which is the smallest value? (a) -2 (b) u (c) -2/7
a
Let w = -1.6 - -1.2. Let v = -3.9 - w. Let p = v - 0.5. Which is the third biggest value? (a) -2/19 (b) 4 (c) p
c
Suppose 69*j + 60 = 63*j. What is the biggest value in -2, -5, j?
-2
Let o = -6 - -11. Let w = 0.26 - -10.74. Let h = -12 + w. What is the second smallest value in o, -0.01, h?
-0.01
Let s = 1 - -2. Suppose 3*x + 20 = 2*x. Let h be (10/x)/(2/(-4)). Which is the third biggest value? (a) -0.07 (b) s (c) h
a
Let x = 98 + -85. Which is the second biggest value? (a) x (b) 3/7 (c) -6
b
Suppose -3 = 2*a - k, 2*a - 7*k = -4*k - 13. Let b = -6614/19 + 348. Let f = -15/38 + b. What is the third smallest value in f, a, -3?
a
Let g = -572 - -9722/17. Let k = -0.05 - -5.05. What is the third biggest value in 2/3, g, k?
g
Let i = -2 - -1.86. Let y = i + 0.34. Let o = 2/171 + 281/342. Which is the smallest value? (a) o (b) -3 (c) y
b
Let g(p) = -p**3 - 7*p**2 - 6*p + 4. Let r be g(-6). Let c = -163/2 + 83. What is the third biggest value in r, 0, c?
0
Let x = -624 + 597. What is the biggest value in -2, x, 1?
1
Let z = -0.549 - -2.059. What is the fourth biggest value in -4, 0.5, 0.3, z?
-4
Let u(t) = -t**3 + 8*t**2 - 9*t - 7. Let g be u(7). Let w = -9 - g. Suppose 4*o = 7*o + w. Which is the second smallest value? (a) -0.3 (b) o (c) 0.5
a
Let v = 742 - 741. What is the third biggest value in v, 0.09, -1/5, 5?
0.09
Let z = 137.5 - 138.71. Which is the second biggest value? (a) -5/2 (b) 1 (c) z
c
Let j = -3.2 - -22.2. Let k = j - 14. Suppose n - 3*r + 22 = 2*r, -4*n - 3*r = -4. What is the third biggest value in n, k, -4?
-4
Let f = -0.08 - 0.22. Let r = -781/6786 - -3/754. What is the second smallest value in -1/4, r, f?
-1/4
Suppose 112*n + 324 = 58*n. Which is the third smallest value? (a) -5/11 (b) n (c) -1/9
c
Let t = -1156 + 1158.1. What is the second smallest value in t, 1/3, -2, -1?
-1
Let s = -12400/39 + 318. What is the second bi | {
"pile_set_name": "DM Mathematics"
} |
e the prime factors of 2805432479?
19, 29, 5091529
List the prime factors of 19565369.
19565369
List the prime factors of 4462091714.
2, 2231045857
What are the prime factors of 89585089?
11, 29, 73, 3847
List the prime factors of 769557001.
59, 71, 183709
What are the prime factors of 3284001?
3, 7, 52127
List the prime factors of 119708483.
47, 1319, 1931
List the prime factors of 6816246079.
37, 61, 829, 3643
List the prime factors of 51157577.
51157577
What are the prime factors of 3589779503?
211, 409, 41597
List the prime factors of 111136167.
3, 12348463
What are the prime factors of 510737874?
2, 3, 8117, 10487
What are the prime factors of 2501926356?
2, 3, 208493863
List the prime factors of 3121111960.
2, 5, 23, 281, 12073
List the prime factors of 5205898.
2, 239, 10891
What are the prime factors of 2900585803?
2900585803
List the prime factors of 1561808622.
2, 3, 11, 547, 43261
List the prime factors of 88897050.
2, 3, 5, 11, 17959
What are the prime factors of 498963355?
5, 11, 2309, 3929
What are the prime factors of 31834309?
13, 263, 9311
What are the prime factors of 56786885?
5, 17, 23, 31, 937
List the prime factors of 4260735342.
2, 3, 236707519
What are the prime factors of 118133275?
5, 13, 103, 3529
What are the prime factors of 811646495?
5, 11, 31, 476039
List the prime factors of 3047698676.
2, 11, 647, 107057
List the prime factors of 227779323.
3, 571, 132971
List the prime factors of 1314985058.
2, 657492529
What are the prime factors of 502685658?
2, 3, 3329, 8389
What are the prime factors of 928175791?
928175791
What are the prime factors of 331541316?
2, 3, 71, 43237
List the prime factors of 42560984.
2, 1601, 3323
What are the prime factors of 454910249?
454910249
List the prime factors of 438203377.
5581, 78517
What are the prime factors of 1843923091?
20983, 87877
List the prime factors of 1291869917.
13, 349, 284741
What are the prime factors of 1602962681?
59, 4801, 5659
List the prime factors of 16048524.
2, 3, 1337377
List the prime factors of 991702376.
2, 7, 61, 67, 619
What are the prime factors of 374103254?
2, 7, 691, 38671
What are the prime factors of 66292844?
2, 16573211
What are the prime factors of 5150707532?
2, 17, 3067, 24697
List the prime factors of 3137866516.
2, 784466629
What are the prime factors of 1918343465?
5, 41, 9357773
What are the prime factors of 132236121?
3, 139, 233, 1361
List the prime factors of 793183514.
2, 396591757
What are the prime factors of 286416502?
2, 31, 4619621
List the prime factors of 1514881584.
2, 3, 29, 362759
List the prime factors of 456047109.
3, 7, 523, 13841
List the prime factors of 34330161.
3, 41, 79, 3533
List the prime factors of 33453112.
2, 7, 11, 4937
List the prime factors of 469676766.
2, 3, 13, 6021497
List the prime factors of 918045135.
3, 5, 7, 17, 19, 1289
What are the prime factors of 1084659069?
3, 13, 2139367
List the prime factors of 128868674.
2, 11, 31, 188957
List the prime factors of 596197496.
2, 74524687
What are the prime factors of 75599689?
11, 19, 23, 15727
What are the prime factors of 36197945?
5, 7, 19, 29, 1877
What are the prime factors of 4712654241?
3, 67, 769, 10163
What are the prime factors of 26817583?
13, 2062891
What are the prime factors of 328305492?
2, 3, 9119597
List the prime factors of 226488618.
2, 3, 37, 340073
What are the prime factors of 509259106?
2, 17, 14978209
List the prime factors of 5804084456.
2, 3313, 218989
List the prime factors of 1300428992.
2, 251, 80953
List the prime factors of 456222254.
2, 228111127
What are the prime factors of 105905832?
2, 3, 4412743
What are the prime factors of 1765575157?
487, 3625411
What are the prime factors of 4155896?
2, 519487
List the prime factors of 2607465420.
2, 3, 5, 7, 157, 269
What are the prime factors of 1124835001?
32233, 34897
List the prime factors of 1621708339.
127, 12769357
List the prime factors of 6493736005.
5, 31, 41, 1021831
What are the prime factors of 230204610?
2, 3, 5, 29, 193, 457
List the prime factors of 229226898.
2, 3, 61, 761, 823
List the prime factors of 354021107.
11, 17, 43, 44027
List the prime factors of 231072076.
2, 23, 269, 9337
List the prime factors of 1766402785.
5, 7, 31, 307, 5303
List the prime factors of 841326260.
2, 5, 17, 2474489
List the prime factors of 416915822.
2, 19, 10971469
What are the prime factors of 83890812?
2, 3, 6990901
List the prime factors of 33887574.
2, 3, 7, 61, 4409
List the prime factors of 361834274.
2, 180917137
What are the prime factors of 95470087?
95470087
List the prime factors of 316578314.
2, 13, 113, 277, 389
What are the prime factors of 9537601598?
2, 7, 631, 1079647
List the prime factors of 9039637.
9039637
List the prime factors of 2905428775.
5, 17, 1361, 5023
List the prime factors of 185500588.
2, 7, 13, 29, 17573
What are the prime factors of 285618436?
2, 47, 719, 2113
What are the prime factors of 1075785552?
2, 3, 41, 257, 709
What are the prime factors of 1221312064?
2, 7, 191, 2039
What are the prime factors of 75285119?
7, 13, 73, 1619
List the prime factors of 719178177.
3, 19, 12617161
What are the prime factors of 167121957?
3, 4211, 13229
List the prime factors of 49241461.
2381, 20681
What are the prime factors of 2796671993?
2796671993
List the prime factors of 104224655.
5, 73, 283, 1009
List the prime factors of 164594526.
2, 3, 27432421
List the prime factors of 493058928.
2, 3, 29, 354209
List the prime factors of 170406203.
11, 317, 48869
List the prime factors of 29660074.
2, 3583, 4139
List the prime factors of 2240364114.
2, 3, 124464673
What are the prime factors of 167637163?
131, 1279673
What are the prime factors of 4237066441?
1699, 2493859
List the prime factors of 1647075743.
19, 167, 519091
What are the prime factors of 4018099774?
2, 13, 59, 2619361
List the prime factors of 1308197893.
79, 2383, 6949
List the prime factors of 28471776.
2, 3, 296581
What are the prime factors of 6215543690?
2, 5, 23, 97, 12113
What are the prime factors of 519641997?
3, 7, 24744857
What are the prime factors of 70908473?
70908473
List the prime factors of 281054185.
5, 83, 677239
List the prime factors of 89508569.
809, 110641
List the prime factors of 397924500.
2, 3, 5, 311, 853
List the prime factors of 242941004.
2, 29, 137, 15287
List the prime factors of 47238554.
2, 11, 823, 2609
List the prime factors of 349784641.
349784641
What are the prime factors of 7768038?
2, 3, 131, 9883
List the prime factors of 6347298864.
2, 3, 47, 2813519
What are the prime factors of 645918228?
2, 3, 2843, 6311
What are the prime factors of 36334477?
29, 1252913
What are the prime factors of 621165180?
2, 3, 5, 499, 20747
List the prime factors of 55402206.
2, 3, 9233701
What are the prime factors of 123726242?
2, 1097, 56393
What are the prime factors of 3477034?
2, 11, 158047
List the prime factors of 786373154.
2, 7, 56169511
What are the prime factors of 58524036?
2, 3, 4877003
List the prime factors of 43346712.
2, 3, 1806113
List the prime factors of 533147101.
4519, 117979
What are the prime factors of 19019427?
3, 7, 905687
What are the prime factors of 456114004?
2, 114028501
List the prime factors of 53136228.
2, 3, 1709, 2591
What are the prime factors of 16675382?
2, 37, 225343
List the prime factors of 286966323.
3, 7, 4555021
What are the prime factors of 89521996?
2, 19, 1177921
List the prime factors of 4453857080.
2, 5, 23, 4841149
What are the prime factors of 136562651?
3373, 40487
List the prime factors of 167419233.
3, 29, 641453
List the prime factors of 35377672.
2, 11, 193, 2083
List the prime factors of 416738294.
2, 7, 29, 1026449
What are the prime factors of 1327906736?
2, 13, 43, 148469
List the prime factors of 143608532.
2, 35902133
What are the prime factors of 6170219850?
2, 3, 5, 31, 1326929
List the prime factors of 1488016769.
173, 8601253
What are the prime factors of 3434122922?
2, 67, 257, 99719
List the prime factors of 35915906.
2, 13, 1381381
List the prime factors of 34937272.
2, 4367159
List the prime factors of 184779226.
2, 4943, 18691
What are the prime factors of 3581006085?
3, 5, 26525971
List the prime factors of 1497445014.
2, 3, 13, 1823, 10531
What are the prime factors of 91551321?
3, 241, 42209
Lis | {
"pile_set_name": "DM Mathematics"
} |
/2)/(-1*((-235)/(-35))/47)?
-14
What is the value of 78/(-21)*45/(2790/62)?
-26/7
(-3045)/(-4350)*(-1350)/(-126)
15/2
(3*22/(-440))/((-30)/140)
7/10
What is the value of (6/76)/((-42675)/(-2702750))?
5
Calculate (((-112926)/(-464))/(-59))/((-1)/(-8)).
-33
(12/39*(-8983)/(-51134))/1
2/37
(((-783)/(-29))/(-27))/(37*9/(-54))
6/37
Evaluate ((-5)/(30/138))/(15/2070*46).
-69
Calculate (-2*168/1456)/((12/(-1469))/4).
113
Evaluate (45036/(-26271))/((-1164)/14).
2/97
What is the value of (3/1)/(7392/64416*(-3)/(-7))?
61
Evaluate 150/54*(-73)/(19345/636).
-20/3
What is the value of -1*50/30*(-1350)/(-30)?
-75
What is the value of ((-13)/((-13)/(-18)))/(112/(288/(-18)))?
18/7
What is the value of ((10/(-612))/((-3280)/2952))/((-10)/(-8))?
1/85
Evaluate (325/(-75))/(100/1200).
-52
What is the value of ((-79)/948)/((-2)/(8/(-38)))?
-1/114
(-5)/(-7)*(-12467)/(-89050)
1/10
What is the value of (47/(235/2))/(2/95)?
19
Evaluate 8/3*(-3515)/(-760)*3.
37
What is the value of -45*37/999*(-44)/(-495)?
-4/27
(1092/(-78))/((70/105)/((-14)/6))
49
(-17787)/5082*(-3)/(-21)*97*1*2
-97
What is the value of ((-25965)/(-270036))/((-2)/(4/(-3)*-6))?
-5/13
What is the value of (-2964)/(-494)*2/(-690)?
-2/115
((-80)/800)/(9/648)
-36/5
What is the value of (96236/7856)/(21/12)?
7
What is the value of (-135)/(-12)*(-56)/252*(-396)/22?
45
What is the value of 13/((-273)/14)*495/(-1155)?
2/7
What is 6/12*-9*(-8)/3*333776/43536?
92
What is the value of (((-72)/210)/(219/(-365)))/((-2)/(-140))?
40
Calculate (13490/64752)/((-1)/(-168)).
35
What is (-39)/6*390972/(-27326)?
93
(10517/84945)/((-2)/(-30))
13/7
(-6*7)/(((-9)/66)/(15/(-165)))
-28
What is ((-33)/143)/((-426)/(-12922))?
-7
What is the value of 7*2479/1407*6?
74
((5418/(-189))/43*(-10)/(-32))/(35/(-196))
7/6
What is (8/14)/(-20*(-33)/27720)?
24
Calculate ((-2)/52)/(((-3)/33)/((-1722)/(-3157))).
3/13
-7*396/378*96/(-11)
64
Calculate (14/(-3))/(2799/(-16794)).
28
What is ((-2990)/2093)/((-2)/112)?
80
Evaluate (2236/86)/((-2)/14)*4/(-8).
91
What is the value of (-110)/33*1/(-4)*420/(-14)?
-25
Calculate ((-14)/(-24))/((-45514)/19506).
-1/4
What is the value of ((-6)/408)/(7/(-21))*10/(-6)*16?
-20/17
Evaluate (((-16200)/3870)/(-60))/(-1).
-3/43
What is (10/(-13420)*44)/(3*(-2)/2)?
2/183
What is the value of (-810)/36*(-6222)/459*2/(-10)?
-61
Evaluate ((-46)/184)/((-352)/(-64)).
-1/22
Calculate (((-1575)/(-7))/(-25)*6)/2.
-27
Evaluate 2241/166*(1064/12)/(-19).
-63
What is (-61)/(3050/(-2280))*(1/(-8))/((-2)/40)?
114
What is the value of 174/29*17/102*(-3)/(-1)?
3
What is the value of -9*(429/66)/(21*(-6)/(-168))?
-78
What is the value of (-2)/730*18/18*18*10/(-72)?
1/146
What is the value of (5/1*87/(-145))/((-1)/(-12))?
-36
5*2*-1*5/(-10)*(-654)/17985
-2/11
26*629/(-1258)*1*2
-26
Evaluate ((-36)/(-10368)*-16)/((-1)/204*-4).
-17/6
What is ((-323)/2584)/(((-1)/4)/((-26)/(-130)))?
1/10
Evaluate 1*(-15)/((-375)/(-40))*(17850/216)/(-35).
34/9
(5/(-218))/((1595/22968)/(9/162))
-2/109
What is the value of 1/(1/((-481)/91*-7))*-2?
-74
What is the value of 9/(-12)*(1484000/318)/(-125)?
28
Calculate (2/7)/(99/(-1089))*7/(-20).
11/10
What is 5/16*1152/720*(-36)/2?
-9
Calculate ((-36)/75)/((540/250)/(-27)).
6
-5*-35*(-39)/1365
-5
Calculate ((2/(-8)*2)/((-42)/(-3808)))/((-3132)/4698).
68
What is the value of (-76)/(-969)*(-1122)/(-462)?
4/21
(-270)/25*28/(-168)*2/6*-20
-12
Calculate (-14)/228*(-12)/(-35)*5230/(-4184).
1/38
What is ((1496/(-17))/22)/((-1)/1)?
4
Calculate 8/(384/(-45))*((220/(-50))/(-11))/1.
-3/8
Calculate ((3760/(-200))/(-47))/((-171)/(-60)*4/(-6)).
-4/19
What is the value of ((-6)/21)/(237/(136038/(-820)))?
1/5
Evaluate ((((-24)/(-20))/(-6))/((-4)/(-500)*30))/2.
-5/12
Evaluate ((-52)/(-260))/(2/88)*1*270/27.
88
Evaluate (4199/1938)/((-2)/24).
-26
What is 4*10/(-320)*4704/80262?
-2/273
Evaluate ((-21)/9)/((9/(-114))/((-144)/(-32))).
133
What is (-3)/4*173/(18684/(-1440))?
10
27131/(-2087)*(72/39)/4
-6
Evaluate 7722/(-936)*(-560)/(-105).
-44
What is (-160)/448*204/170?
-3/7
(6*12)/(-2)*11232/(-2304)*(-8)/26
-54
What is the value of ((4/28)/(-1))/((-7774)/7098*1/1)?
3/23
Calculate ((-1)/4)/((6/(-92))/((-51)/(-408)*48)).
23
What is ((-147)/(-1176))/((-5)/(-8))?
1/5
(5/(-9))/((-32130)/(-44982))
-7/9
What is (-2)/(-3*(-38)/(-1767))?
31
What is the value of (179/(130312/546))/(126/8)?
1/21
56/30*5240/(-3668)*(-3)/(-14)
-4/7
What is 121500/(-135)*(-16)/360?
40
Evaluate ((-7)/6)/(497/(-213))*((-112)/15)/(-2).
28/15
What is -40*(-11)/(-1892)*2/(-10)?
2/43
What is the value of ((-22840)/199850)/(6/7)?
-2/15
What is the value of 9738/(-4328)*16/15*(-4)/(-112)*-2?
6/35
What is (6696/132)/(558/682)?
62
Calculate ((-36)/(-8))/(426/12780*-1*9).
-15
What is (27/(-6))/1*((-18088)/31518)/(-133)?
-2/103
Evaluate (-532)/228*60/42*(-18)/(-15)*-9.
36
152/(14896/6321)*2/(-12)*-4
43
What is the value of (1107/81)/(2855/(-1713))?
-41/5
What is ((182/(-24))/(-13))/((-726)/3267)?
-21/8
Evaluate ((-1)/1)/((-34)/544)*25/5.
80
What is the value of ((-7182)/76)/(-21)*(-56)/6?
-42
Evaluate 17545/242*(-2)/(-5).
29
What is ((-608)/912)/((-4)/(-28))?
-14/3
What is (442/(-884))/(((-150)/(-460))/15)?
-23
What is the value of 10871/(-55908)*(-9)/21?
1/12
What is 18*7*(1*(-16)/20)/((-3906)/155)?
4
(26/6)/(11609/6251)*288/7
96
Calculate (1248/182)/((-442)/91).
-24/17
What is the value of ((-198)/(-252))/(256/896)?
11/4
What is the value of 1260/((-720)/20)*((-24)/(-8))/(-15)?
7
Evaluate ((20/(-12))/((-55)/(-264)))/(-26*(-5)/(-5)).
4/13
Evaluate (-86)/3*(-31)/(-1364)*44*(-6)/16.
43/4
(-3)/((45/((-10800)/(-24)))/(12/(-10)))
36
(165/(-594))/((-5)/24)*6/52
2/13
What is (-119)/((-5474)/276)*(1/(-45))/((-2)/(-2))?
-2/15
Evaluate ((-120)/5*((-11)/6)/11)/(-29).
-4/29
456/(-532)*19/(-285)
2/35
Evaluate (14/(-204204)*-33)/(-1)*-4.
2/221
Calculate 1783/((-2398135)/(-1614))*2/8*-1.
-3/10
27869/42284*12/58
3/22
What is the value of (((5145/150)/(-49))/(105/30))/(37/(-10))?
2/37
Evaluate (14/35)/((-1)/(-19))*14/504*20.
38/9
What is the value of (507/(-65))/(21/(-35))*(-4)/12*-3?
13
What is (-4130)/(-2832)*40/(-50)?
-7/6
Calculate (7/(-1)*(-32)/(-168))/(((-27940)/(-30))/(-11)).
2/127
What is the value of ((-13320)/108)/37*(-45)/(-30)?
-5
What is (882/(-315))/((-4158)/(-495))?
-1/3
What is the value of (-378)/(-195)*1595/2233*28/12?
42/13
What is (3/9)/((-971)/180606)?
-62
Evaluate 10/(-3)*22848/2380.
-32
Calculate (312/27)/(62/12834*46).
52
Calculate 2610/174*(-224)/(-96).
35
(-15)/(8*(-8)/128)
30
4/((-16)/(-10))*(-70992)/(-3060)
58
Calculate (-6)/435*(20220/4718)/(((-18)/21)/(-2)).
-4/29
What is (298/(-2682))/((-53)/(-18))?
-2/53
Evaluate (7/30)/((97272/2376)/193).
11/10
What is the value of 2/((-20)/(-6))*78000/4680?
10
What is the value of 3/(-9)*((-46)/138)/((-5)/3)*-21?
7/5
Calculate 1/2*(-75)/(-150)*(34/(-3))/1.
-17/6
Evaluate (23/(667/(-29)))/((-12)/(-456)).
-38
Calculate (320898/22341)/((-4)/22).
-79
-14*(-230)/(-20608)*-8
5/4
What is (5/(5/(-2)))/(1380/(-276)*(-13)/5)?
-2/13
Calculate (-1496)/7480*1*(-1)/(-1)*-1.
1/5
Evaluate ((-2)/10)/(51/255)*-13.
13
((-8)/((-384)/(-112)))/((-189)/(-1863))
-23
((-48)/14)/((-233)/(-1631))*(-121)/(-33)
-88
Evaluate (19359/30114)/(4/(-14)).
-9/4
What is ((-14475)/11580*-9*(-28)/30)/((-6)/28)?
49
4/35*313/(107672/3612)
6/5
((-315)/(-252)*-12)/((-3)/12*-4)
-15
What is (-8)/42*(1387323/114)/(-61)?
38
What is (648/25)/(-27)*-5*((-30)/(-84))/(-5)?
-12/35
20/(-36)*-3*38/((-31920)/54)
-3/28
Evaluate ((2/24)/(1/(-2)))/(1824/(-645696)).
59
What is the value of 147/(-4)*-2*32/(-1680)*35?
-49
What is the value of ((-18)/3726*-92)/((-146)/(-9))?
2/73
Calculate (-378)/315*2*(-60)/(-264).
-6/11
((-270)/234)/((-159)/1378)
10
(784/(-28126))/(108/(-189))
2/41
Calculate ((-1)/(-6))/(820/4305*(-3)/2).
-7/12
(979/3916)/(27/20*(-50)/(-30))
1/9
15/(-9)*(35/(2975/5304))/((-10)/10)
104
Evaluate ((-7)/98*13)/(2340/(-12285)).
39/8
What is (765/(1105/65))/(11/((-154)/(-63)))?
10
What is (-27)/(-3)*((-75808)/192)/103*(-14)/7?
69
Calculate (3/292)/(24/640*550/(-110)).
-4/73
Evaluate (2/38)/(((-59)/708)/(6/36)).
-2/19
Evaluate 24/1*(1/(-1))/(6813/(-757)).
8/3
Calculate -8*((-321)/24)/(-107).
-1
Calculate 24/456*133*225/(-35).
-45
What is 840/(-48)*(-47)/(6580/(-640))?
-80
Evaluate ((-192)/216)/(((-144)/(-756))/((-36)/14)).
12
Calculate 185/(666/(-18))*(-28)/12*-3. | {
"pile_set_name": "DM Mathematics"
} |
-1/288
Which is the closest to -0.1? (a) 0 (b) 14/9 (c) -4
a
Which is the closest to 1? (a) -3 (b) 0.08 (c) -5 (d) 1/5
d
What is the nearest to 2 in 0.3, -0.09, 0.2?
0.3
What is the closest to 11/17 in 0.1, -0.6, -4?
0.1
Which is the closest to -2/7? (a) -2/21 (b) -2 (c) 0.06
a
Which is the nearest to 4? (a) -5 (b) 0.4 (c) 2
c
Which is the nearest to 2/11? (a) -4 (b) -2/9 (c) 8/7 (d) 1
b
What is the closest to 0.1 in -4, 4, -5, -1/4?
-1/4
What is the closest to -4 in 0, -56, 4, 6/11?
0
Which is the closest to -4? (a) -4 (b) -6 (c) -8
a
What is the nearest to 0.1 in -98, 1/4, -4, -0.4?
1/4
What is the nearest to 0.03 in 0.6, -3, 3?
0.6
What is the closest to 0.1 in 71, 4/9, 3?
4/9
Which is the nearest to -1/2? (a) 1 (b) 0.1 (c) -4 (d) -9
b
What is the closest to -0.6 in 4, -11, -9?
4
Which is the nearest to 1/3? (a) 0.09 (b) 2/11 (c) -0.09 (d) 5
b
Which is the closest to 0.1? (a) 3 (b) -4/3 (c) -5
b
What is the closest to -1 in 0.4, 0.2, -0.1, 5/8?
-0.1
What is the closest to 2/7 in 5, 0.1, -1/7, 3?
0.1
What is the closest to -3 in 0.4, 34, -0.2, -3?
-3
Which is the nearest to -12? (a) 8 (b) -0.1 (c) 2
b
Which is the closest to 1? (a) 1/5 (b) 2 (c) 18/7 (d) -24
a
Which is the nearest to 3? (a) -1/4 (b) 2/15 (c) -0.5 (d) 3
d
Which is the closest to 1/2? (a) 3/2 (b) -228 (c) 2/5
c
What is the nearest to -2/93 in 0.4, 2/25, 0.2?
2/25
Which is the nearest to -2? (a) -2/5 (b) -1/4 (c) -6 (d) 0
a
What is the closest to 1/32 in 0.1, -0.04, 4?
0.1
What is the nearest to -0.3 in 22, -4/5, -3/5?
-3/5
What is the nearest to -0.01 in 2/21, 11, -0.5?
2/21
Which is the nearest to 0.1? (a) 1/2 (b) -5 (c) 36
a
Which is the nearest to -2/3? (a) -7 (b) 5 (c) -5 (d) 6/11
d
What is the nearest to 0.035 in -4/7, -1, -11, -0.3?
-0.3
Which is the closest to -0.1? (a) 36 (b) -4 (c) -2/3
c
What is the closest to -0.4 in 0.1, -0.1, 0.4?
-0.1
Which is the nearest to 1? (a) 1/5 (b) 0.07 (c) -0.5 (d) -0.1
a
What is the closest to -12 in -0.1, -13, 3/2?
-13
Which is the nearest to 20? (a) -4 (b) -0.01 (c) -2
b
What is the closest to -1 in -7, -2/3, 4/7, 0.1?
-2/3
Which is the nearest to 0? (a) 7 (b) 2/7 (c) 0
c
Which is the closest to 1? (a) -1.1 (b) 0.04 (c) 1/4
c
What is the closest to -2/9 in -2, 3, 3/7, 4?
3/7
Which is the closest to -0.2? (a) 8 (b) -1/8 (c) 0.3
b
Which is the closest to -15? (a) -2 (b) -4 (c) 3/8
b
What is the closest to -108 in 0.6, 1/4, 2/13, 4/3?
2/13
Which is the closest to -1? (a) -1736 (b) 3 (c) 0.3 (d) 2
c
Which is the nearest to 0.2? (a) 3 (b) 0.2 (c) -1/11 (d) -1
b
What is the nearest to -2/5 in -0.1, -0.07, -4?
-0.1
What is the nearest to 0 in -2/9, 0.6, 2/3?
-2/9
What is the closest to -1 in 17, -2, -0.1?
-0.1
What is the closest to -2/5 in 278, -5, 0?
0
Which is the closest to -2? (a) 0 (b) 3/5 (c) -0.64 (d) 5
c
What is the closest to -2 in 1, 2, 4/5?
4/5
What is the nearest to -1/2 in -3.36, 2, 3, -5?
2
What is the nearest to 0 in 7/4, 3/2, 2, 1?
1
What is the closest to 2/7 in 3, 9/4, 4?
9/4
Which is the nearest to -44? (a) -3 (b) -2/13 (c) 0 (d) 28
a
What is the nearest to -1/4 in -681, 0.2, 2, 1/2?
0.2
Which is the nearest to -27? (a) 0 (b) -2 (c) 2
b
Which is the closest to -2/7? (a) 0.39 (b) -3 (c) 0.031 (d) -0.3
d
What is the nearest to 0 in 654, -2/21, 0?
0
Which is the closest to -2? (a) -2/65 (b) -0.1 (c) 6
b
Which is the closest to 2/7? (a) 2/27 (b) 4/3 (c) -2
a
What is the nearest to 3/5 in -2/11, 0, -0.4?
0
What is the nearest to 0.2 in -6, -1/6, 2, 1/12?
1/12
What is the closest to 2/3 in -0.5, -5, 1/5, 1/7?
1/5
Which is the closest to 0? (a) -1/2 (b) -3 (c) 1
a
Which is the closest to 0? (a) -154 (b) 3 (c) -2 (d) -1
d
Which is the nearest to -13? (a) 0.3 (b) -48/11 (c) -4/5
b
What is the closest to -1 in -4, -2, -0.03, 3/2?
-0.03
Which is the nearest to -2? (a) -3 (b) -108/5 (c) 1/6
a
What is the nearest to 2 in 0.3, 4, -0.2, 1?
1
What is the nearest to -0.4 in -2/13, 0.2, 3, -4?
-2/13
What is the nearest to 1 in 9, -1/3, 0.4, -7/5?
0.4
Which is the closest to 1? (a) 1/3 (b) 2 (c) -67
a
What is the nearest to 1 in -4, 1, 0.05, 2?
1
Which is the nearest to 8? (a) 5.6 (b) -4/3 (c) 1/4 (d) -1/5
a
Which is the closest to 1? (a) -0.1 (b) 0.1 (c) 32 (d) 2
b
Which is the nearest to 2? (a) 63 (b) -0.5 (c) 0.5 (d) 0.1
c
Which is the closest to 0.1? (a) 11 (b) -7 (c) 4
c
What is the nearest to -1/2 in 3, 2, -0.4, -1?
-0.4
What is the nearest to -14 in -6, -3, 4/7, -4?
-6
Which is the closest to -9/4? (a) 1 (b) -3 (c) 5 (d) 4
b
What is the closest to -2 in 3, 0, -2/3, 2?
-2/3
What is the nearest to -7 in 0.4, -1, -2, -0.3?
-2
What is the closest to -2 in -0.11, 0.1, 1/4, -4?
-0.11
Which is the nearest to -3? (a) -9/7 (b) -4 (c) -0.1
b
What is the nearest to -1 in 0.4, 66, 0.1, -2/3?
-2/3
What is the closest to -1 in -0.3, 3.1, -4, 2/3?
-0.3
What is the closest to 0 in 1/4, 3/4, -5, 13?
1/4
What is the nearest to -1 in 5, -5, 39, 0?
0
What is the closest to -5 in -1/6, 9, 2.7, 5?
-1/6
What is the closest to 1/12 in -3/7, 1, -0.2?
-0.2
What is the nearest to 5 in 0.01, -2/21, 10?
0.01
Which is the nearest to -0.2? (a) 3 (b) -2 (c) -0.2
c
Which is the closest to 2/7? (a) -0.4 (b) 9 (c) 1/8 (d) -1/2
c
What is the closest to -1/6 in -6, -0.5, -2/7, 8?
-2/7
What is the nearest to 1 in -0.2, -0.0122, 2, -1/3?
2
Which is the nearest to -1/3? (a) -0.05 (b) 0.4 (c) 2
a
Which is the closest to 0.1? (a) -1 (b) -1/3 (c) 12 (d) -4/7
b
Which is the nearest to -1? (a) -2 (b) 3/5 (c) -11
a
What is the nearest to 0.04 in -3, 0, -2/9, -6?
0
Which is the nearest to -2/3? (a) -9 (b) -0.3 (c) 1 (d) -5
b
What is the nearest to 141 in 0.2, 5, -3?
5
What is the closest to 0 in -2/7, -0.0592, 4?
-0.0592
What is the closest to 0.1 in 0.4, 1/38, -8/15?
1/38
What is the closest to -24 in -4, -2/7, -0.4?
-4
Which is the nearest to 2/7? (a) 3/4 (b) 2/143 (c) 0.5 (d) 2
c
Which is the closest to -2? (a) 0.4 (b) -7 (c) -0.5 (d) -103
c
Which is the closest to -0.1? (a) -1 (b) -45 (c) -4
a
Which is the closest to 2/3? (a) 0.6 (b) -0.06 (c) 0 (d) -4/3
a
Which is the closest to -17? (a) 0.5 (b) -1/6 (c) -0.3
c
Which is the closest to -1/4? (a) 4 (b) 2/3 (c) -3 (d) 0.5
d
Which is the nearest to -1/4? (a) 10/9 (b) 1 (c) 1/4 (d) -3
c
Which is the nearest to -5? (a) -2 (b) 1 (c) -5
c
Which is the nearest to -0.2? (a) 2/17 (b) -1/7 (c) -3/2
b
Which is the nearest to 0.1? (a) -2/9 (b) 1 (c) 28 (d) 1/5
d
What is the nearest to -23 in -0.3, 0.5, 3?
-0.3
Which is the nearest to -3.3? (a) -4 (b) -2 (c) -5 (d) -0.2
a
What is the closest to 0 in 28, -3, 0.3, 1?
0.3
What is the nearest to -2/7 in 4/9, 0.1, 5/6?
0.1
Which is the closest to 0? (a) -1/4 (b) 22 (c) -4 (d) 1
a
What is the nearest to -1 in 16.6, 0, -4/5, 1/4?
-4/5
What is the nearest to -0.8 in -0.2, 6/7, 0.1?
-0.2
Which is the closest to 5? (a) -2/5 (b) -0.2 (c) 162
b
Which is the nearest to -0.01? (a) 0.1 (b) 2 (c) -2
a
What is the closest to -10 in 4, 0.01, 0.5, 2/7?
0.01
What is the closest to -1/2 in 0.4, -5, -0.5, -0.08?
-0.5
What is the nearest to -3/4 in 0, 4, 5, 3/7?
0
What is the closest to 5/3 in -1/2, -1/3, 1/7, 3?
3
Which is the nearest to 229? (a) -2 (b) 0.2 (c) -1/3 (d) 2/9
d
What is the nearest to 0 in -51, 3/7, 5?
3/7
Which is the closest to 0.1? (a) -7/3 (b) 0.2 (c) -1/4 (d) -0.2
b
What is the nearest to -17 in 1, -3/5, 4, -1/4?
-3/5
Which is the closest to 0.01? (a) -5 (b) -7/2 (c) 2/7 (d) -2
c
What is the nearest to -0.3 in 4, 2/5, 2/53, 1?
2/53
What is the nearest to 11 in -5, 2/3, -0.1, 1/5?
2/3
Which is the closest to 1/2? (a) 0 (b) -103 (c) -2/5
a
Which is the closest to 1? (a) -2/9 (b) 300 (c) 3 (d) -4
a
What is the nearest to -16/21 in 1, 10, -3/8?
-3/8
What is the nearest to -2 in -4, -2/713, -2, -2/9?
-2
Which is the nearest to 2? (a) 0.4 (b) -5/6 (c) -3 (d) 5/18
a
Which is the nearest to -1? (a) -2 (b) -0.5 (c) 2/7
b
Which is the closest to 1/4? (a) -1.3 (b) -0.5 (c) -1/7
c
What is the nearest to 153 in 1, 5, 4, 0?
5
Which is the nearest to 3? (a) 1 (b) 7/2 (c) 5/3
b
What is the closest to 12 in -6, -2, -0.1?
-0.1
Which is the closest to -0.1? (a) | {
"pile_set_name": "DM Mathematics"
} |
z(-192).
-1
Let k(w) = w**3 - 61*w**2 + 126*w - 7. Calculate k(2).
9
Let f(v) = 1607*v + 1830. Calculate f(-1).
223
Let i(o) = 2971*o + 14834. What is i(-5)?
-21
Let y(j) = -14*j**2 - 327*j + 9. What is y(-23)?
124
Let k(f) = -f**3 + 8*f**2 + 9*f - 10. Determine k(9).
-10
Let c(b) = -12*b + 161. Determine c(12).
17
Let b(a) = a**2 + 22*a + 32. Give b(-12).
-88
Let t(s) = -s**3 + 29*s**2 - 179*s - 30. Calculate t(10).
80
Let k(u) = -5*u**2 + 8*u - 38. Determine k(8).
-294
Let v(a) = 2*a**2 + 8*a - 270. Determine v(-13).
-36
Let y(x) = 29*x + 369. Determine y(-16).
-95
Let x(q) = q**2 - 6*q + 21. Determine x(10).
61
Let p(i) = 162*i + 8590. What is p(-53)?
4
Let d(u) = u**3 - 13*u**2 - 7*u + 18. Determine d(14).
116
Let g(a) = -396*a - 2030. What is g(-5)?
-50
Let r(j) = 311*j + 3091. Give r(-10).
-19
Let u(z) = z**3 + 124*z**2 + 613*z + 2151. Give u(-119).
9
Let w(c) = 19*c + 8. Give w(2).
46
Let s(v) = -v**2 + 344*v - 5567. What is s(17)?
-8
Let h(w) = 8*w**3 - 20*w**2 + 30*w + 4. Calculate h(5).
654
Let l(i) = -179*i**3 + 19*i**2 + 18*i. Determine l(-1).
180
Let i(c) = -348*c**3 + 8*c**2 - 10*c + 4. What is i(1)?
-346
Let y(s) = -719*s - 23721. Calculate y(-33).
6
Let c(h) = -h**2 - 215*h + 1862. Give c(8).
78
Let x(m) = -6*m**3 + m**2 - 4*m + 3. Give x(1).
-6
Let l(n) = 227*n - 2. What is l(-1)?
-229
Let n(q) = -11*q**2 + 93*q + 669. Give n(-9).
-1059
Let n(d) = -12*d**2 + 962*d + 33. What is n(80)?
193
Let d(g) = g**2 + 296*g + 21240. What is d(-174)?
12
Let b(v) = v**3 + 6*v**2 - 66*v - 376. Give b(-8).
24
Let f(n) = -4*n**2 - 38*n - 163. Give f(-11).
-229
Let u(y) = -3*y**3 + 9*y**2 - 2*y. Calculate u(3).
-6
Let d(z) = 31*z + 193. Give d(-6).
7
Let a(y) = 5*y**2 - 143*y + 17. Determine a(28).
-67
Let v(i) = -24*i - 1445. Determine v(-61).
19
Let s(p) = p**3 - 9*p**2 - 44*p + 398. Calculate s(7).
-8
Let l(h) = -2*h**2 + 58*h - 390. Give l(18).
6
Let i(k) = -k**2 + 5*k + 131. Calculate i(-15).
-169
Let q(u) = -u**2 - 36*u - 62. Calculate q(-34).
6
Let i(v) = 46*v + 179. What is i(-4)?
-5
Let i(h) = -h**3 + h**2 + 3*h + 1. Determine i(-1).
0
Let l(z) = -123*z - 754. Give l(-2).
-508
Let l(c) = -c**3 - 450*c**2 + 4130*c + 5. Give l(9).
-4
Let f(h) = -h**3 + 10*h**2 - 24*h + 5. Determine f(7).
-16
Let t(q) = -69*q**2 + 1339*q - 530. Calculate t(19).
2
Let y(g) = 1053*g + 9403. What is y(-9)?
-74
Let u(y) = -y**3 + 4*y**2 + 2*y - 25. Determine u(-6).
323
Let c(h) = 14*h**2 + 80*h - 294. What is c(4)?
250
Let f(u) = -427*u - 1286. Determine f(-3).
-5
Let c(u) = -62*u - 9. Determine c(2).
-133
Let m(g) = 44*g + 723. Calculate m(-15).
63
Let b(s) = -10*s**2 - 16*s - 134. Calculate b(-6).
-398
Let o(q) = q**3 - 15*q**2 + 76*q - 145. Calculate o(4).
-17
Let n(d) = -34*d - 1491. Calculate n(-44).
5
Let w(h) = 72*h - 432. Give w(6).
0
Let c(k) = k**3 - k**2 + 194*k + 1094. Calculate c(-5).
-26
Let n(o) = o**2 + 9*o + 166. Determine n(13).
452
Let x(v) = -v**2 - 55*v - 295. Calculate x(-45).
155
Let m(o) = 4*o**3 + 21*o**2 + 114*o + 537. Determine m(-5).
-8
Let q(t) = -21*t**3 + 3*t**2 + 13*t + 10. Calculate q(-1).
21
Let b(j) = j**3 + 17*j**2 - 55*j + 62. Give b(-20).
-38
Let m(t) = t**3 + 102*t**2 - 7*t - 730. Determine m(-102).
-16
Let a(q) = 6*q**3 + 5*q**2 + 73*q + 74. Calculate a(-1).
0
Let u(a) = a**2 - 27*a - 14. Determine u(22).
-124
Let j(o) = -o**3 - 76*o**2 + 153*o - 175. Determine j(-78).
59
Let o(u) = 10*u**2 - 53*u - 117. What is o(7)?
2
Let v(a) = 509*a - 16796. Give v(33).
1
Let g(m) = -53*m - 658. Calculate g(-12).
-22
Let t(q) = 707*q - 15570. Give t(22).
-16
Let m(s) = -130*s - 1021. Calculate m(-8).
19
Let v(d) = -22*d + 52. What is v(3)?
-14
Let p(y) = -8*y**2 + 408*y + 8. Give p(51).
8
Let f(k) = 158*k - 37299. What is f(236)?
-11
Let j(k) = -k**3 - 17*k**2 + 2*k - 63. Calculate j(-17).
-97
Let i(a) = -3*a**3 - 513*a**2 - 1511*a + 183. Give i(-168).
15
Let m(c) = c - 94. Determine m(40).
-54
Let l(z) = z**2 + 152*z + 5024. Determine l(-103).
-23
Let f(l) = 974*l - 73. What is f(1)?
901
Let g(b) = 18*b + 336. What is g(-44)?
-456
Let f(g) = -30*g + 127. What is f(5)?
-23
Let i(y) = 7*y**2 + 19*y + 7. What is i(-3)?
13
Let v(s) = -s**2 - 159*s + 831. Give v(5).
11
Let j(y) = -y**3 - 60*y**2 - 324*y + 8. What is j(-54)?
8
Let n(i) = -91*i + 373. Calculate n(2).
191
Let x(p) = -2*p**3 + 4*p**2 + 2*p - 3. Calculate x(-2).
25
Let x(d) = 123*d + 76. Calculate x(-1).
-47
Let x(n) = n**3 + 7*n**2 - 29*n - 160. Calculate x(-8).
8
Let a(d) = 2*d**3 - 2*d**2 - 10*d + 42. Determine a(-3).
0
Let h(d) = 150*d**3 - 37*d**2 - 36*d + 1. What is h(-1)?
-150
Let d(h) = -h**3 - 3*h**2 + 26*h - 43. What is d(0)?
-43
Let n(k) = 39*k. Give n(2).
78
Let q(r) = r**3 + 16*r**2 - 102*r + 71. Calculate q(-21).
8
Let l(u) = 206*u + 5772. Calculate l(-28).
4
Let a(v) = -2*v**2 - 75*v - 708. Give a(-19).
-5
Let p(w) = -w**3 - 47*w**2 - 546*w - 21. What is p(-26)?
-21
Let j(o) = -28*o**3 - 172*o**2 - 25*o - 5. Determine j(-6).
1
Let p(h) = -4*h**3 - 32*h**2 - 6*h - 11. Calculate p(-8).
37
Let a(x) = -29*x**2 + 48*x + 12. Give a(2).
-8
Let g(j) = -33*j + 1461. What is g(46)?
-57
Let n(k) = -3*k**2 - 36*k + 82. Determine n(-12).
82
Let p(d) = -d**2 + 93*d + 482. What is p(-5)?
-8
Let a(w) = w**3 - 22*w**2 - 203*w - 8. Determine a(29).
-8
Let t(w) = -w**3 - 4*w**2 - 9*w - 8. Give t(-4).
28
Let s(b) = -1794*b + 52025. Calculate s(29).
-1
Let z(t) = 2*t**3 - 18*t**2 + 31*t - 285. What is z(9)?
-6
Let f(r) = -34*r + 79. Determine f(5).
-91
Let k(w) = -6*w**3 - 767*w**2 + 126*w - 278. Calculate k(-128).
-22
Let x(w) = -w**2 + 49*w + 3425. Calculate x(88).
-7
Let l(j) = j**2 + 504*j + 23095. What is l(-51)?
-8
Let m(n) = -11*n**3 + 176*n**2 + 5. Determine m(16).
5
Let w(v) = -2*v**2 + 118*v - 137. Calculate w(57).
91
Let l(f) = -4*f**2 + 37*f + 3. What is l(-11)?
-888
Let s(x) = -1352*x - 18934. What is s(-14)?
-6
Let n(w) = 2*w**2 + 21*w + 15. Determine n(-19).
338
Let j(q) = 3*q + 130. Give j(-40).
10
Let t(q) = -3*q**2 - 128*q - 552. Determine t(-38).
-20
Let x(n) = -n**3 - 10*n**2 + 10*n - 155. Calculate x(-12).
13
Let a(w) = 23*w**2 - 416*w + 38. Give a(18).
2
Let t(w) = -11*w - 111. Give t(-2).
-89
Let t(f) = -f**3 - 56*f**2 + 3439*f - 197. Calculate t(-93).
-11
Let n(w) = 9*w**3 - 81*w**2 + 12*w - 3. Calculate n(9).
105
Let m(g) = 2*g**2 - 3*g - 14. What is m(-2)?
0
Let o(f) = 349*f - 2461. Calculate o(7).
-18
Let g(m) = 23834*m - 23827. Give g(1).
7
Let o(y) = 10*y + 612. What is o(-59)?
22
Let r(b) = -37*b**2 + 265*b - 49. Give r(7).
-7
Let u(d) = -d**3 - 10*d**2 + 73*d - 43. Calculate u(-15).
-13
Let d(r) = 49*r - 145. Give d(3).
2
Let k(f) = f**3 - 65*f + 245. Calculate k(4).
49
Let v(g) = -2*g**2 + 505*g - 19180. Give v(206).
-22
Let w(q) = q**3 + 14*q**2 + 39*q + 5. Give w(-3).
-13
Let x(m) = 3*m**2 - 132*m + 430. Give x(41).
61
Let y(v) = 20*v**2 + 69*v + 17. Determine y(-3).
-10
Let r(z) = -2*z**3 - 4*z**2 - 14*z - 11. Give r(-4).
109
Let h(u) = -u**2 + 20191*u + 181793. Give h(-9).
-7
Let f(h) = 4*h**2 + 83*h + 148. What is f(-17)?
-107
Let h(z) = z**3 - 37*z**2 - 12*z - 127. Give h(37).
-571
Let a(g) = 240*g - 5499. Determine a(23).
21
Let s(j) = -j**3 + 126*j**2 + 15*j - 1863. What is s(126)?
27
Let p(k) = -763*k + 4386. Calculate p(6).
-192
Let c(z) = -z**3 + 21*z**2 - 40*z + 39. Calculate c(19).
1
Let f(u) = 7*u**2 - 473*u - 5106. Calculate f(77).
-24
Let r(p) = -80*p + 869. Give r(11).
-11
Let s(o) = 6*o - 389. Determine s(40).
-149
Let w(s) = -50*s - 281. Determine w(-5).
-31
Let z(h) = -34*h**2 + 55*h - 248. What is z(5)?
-823
Let p(b) = 4*b**2 - 15*b - 424. What is p(17)?
477
Let s(v) = 2*v**3 + 72*v**2 + 69*v - 51. Determine s(-35).
-16
Let x(a) = 6*a**3 + 53*a**2 - 4*a + 50. Determine x(-9).
5
Let w(x) = -x**2 + 162*x - 6459. Give w(70).
-19
Let z(m) = -886*m - 7097. Give z(-8).
-9
Let l(d) = -d**3 - 3*d**2 + 63*d + 266. Give l(-6).
-4
Let q(j) = -j**3 - 8*j**2 + 20*j + 1. Give q(-6).
-191
Let o(w) = 2*w**3 + 13*w**2 - w + 28. Calculate o(-7).
-14
Let g(r) = 29*r**3 + 117*r**2 + 4*r + 9. Calculate g(-4).
9
Let d(o) = o**2 + 44*o + 154. What is d(-14)?
-266
Let h(w) = 2*w**3 + 13*w**2 - 15*w - 133. Calculate h(-6).
-7
Let a(b) = -1858*b - 195074. What is a(-105)?
16
Let h(k) = 108*k + 1617. Calculate h(-15).
-3
Let m(q) = -q**3 - 8*q**2 + | {
"pile_set_name": "DM Mathematics"
} |
))*(0 + 0 - 1 + (67 + 58 - 44)*(5 + 7 - 4)) to the form h*o + i and give h.
-1294
Express 51*h + 17 + 74*h - 153*h in the form y + f*h and give f.
-28
Rearrange -23*b - 2 + 24*b - 3424*b**3 - 2*b**2 + 3432*b**3 to the form v + d*b + n*b**3 + x*b**2 and give v.
-2
Express (7322 + 1872 + 1502)*(0*z**2 + 3*z**2 + 0*z**2) in the form k + b*z**2 + l*z and give b.
32088
Express -11 + 16*g - 8*g - 3*g**3 - 10*g - 40*g**2 + g**4 + 13 as s*g + t*g**4 + k + b*g**3 + z*g**2 and give t.
1
Express -f**2 + 6414*f + 6398*f - 12812*f + 1661*f**3 - 1 in the form k*f + m + z*f**3 + b*f**2 and give k.
0
Express 144*g**4 - 9*g - 8*g**3 + 1 + 147*g**4 - 4*g**2 + g**2 - 288*g**4 in the form r*g + m*g**2 + p*g**3 + i + z*g**4 and give r.
-9
Rearrange 136*j - 12973*j + 3032*j to the form p*j + k and give k.
0
Express 1077*k - 77272 + 77272 as a*k + b and give a.
1077
Rearrange (2*o - 2*o + 6*o)*(104 - 119 + 99)*(-5 + 5 + 7 + (5 - 2 - 1)*(0 + 0 + 1) - 3 + 4 - 2) to b*o + r and give b.
4032
Rearrange 9 - 41 - 27 + 4 - 42 - 21*s to p + t*s and give p.
-97
Rearrange -339*q**3 - 50*q - 93*q + 2*q**2 + 141*q to k*q**2 + t + v*q + f*q**3 and give v.
-2
Express -648*m**2 + 373 + m**3 - 1579 + 648*m**2 - 882 in the form n + l*m + t*m**2 + a*m**3 and give a.
1
Express 35 - 5 - 29 - 2 - 34*o**3 + 3*o**2 as n*o + t + f*o**2 + w*o**3 and give t.
-1
Express -31*z**3 - 154*z**3 - 48 + 49 - 115*z**3 - 5*z**2 in the form j*z**2 + y*z + o*z**3 + f and give f.
1
Express (2 - 4 + 1)*(-c + c - c) + 3 - 2*c - 3 + (-464*c + 226*c - 168*c)*(1 + 4 - 4) - 5*c + 4*c + 3*c in the form q*c + r and give q.
-405
Express 128*o**3 - 29*o**3 - 151*o**2 - 36*o**3 - 35*o**3 - 27*o**3 + o - 5 as g*o**3 + i*o + a*o**2 + p and give p.
-5
Express (1746 + 31*k - 1746)*(8*k - 2*k - 2*k + (1 + 2 - 2)*(-5*k + 3*k + 0*k)) as s*k + o + u*k**2 and give u.
62
Rearrange (-11*s + 3*s + 9*s)*(6 + 3 + 0)*(18 - 52 + 11) + 4*s + 0*s - 2*s to g*s + h and give g.
-205
Rearrange -1890*w**2 - 430*w**2 - 917*w**2 + 42*w**2 - 789*w**2 to l*w + g*w**2 + b and give g.
-3984
Express -82 + 53 - 2*z**2 - 115*z + 20 + 3*z**2 as r + m*z + y*z**2 and give r.
-9
Rearrange (-2*d**3 - 3*d**2 + 5*d**2 - 4 + 1)*(-1118372 + 1118241 + d - 4*d) to h*d**3 + b*d + s*d**4 + l*d**2 + q and give b.
9
Rearrange 3*z - 49*z**4 + 29*z**4 + 2*z**3 - 2*z - 3 + 6*z**4 - z**2 to the form w*z**2 + g*z + s*z**3 + f + b*z**4 and give s.
2
Express (36 - 36 - 5*g)*(-15*g**3 + 52*g**3 + 147*g**3) - 3*g**4 - 3*g**4 + 5*g**4 as m*g**3 + s*g**4 + r*g**2 + t*g + y and give s.
-921
Express (546*c - 902*c + 1504*c)*(-3*c**2 + 4*c**2 + 6*c**2 - c**2)*(-3*c - 3*c + 5*c) as d*c**3 + k*c**4 + a*c + y*c**2 + u and give y.
0
Express 2*d - 10 + 13 + d**2 - 5716*d**3 + 5752*d**3 in the form t*d**2 + v + w*d**3 + i*d and give v.
3
Rearrange (2*b**3 - 3*b**3 - 2*b**3)*(-49*b + 28*b + 207*b)*(2 + 2 - 5) to a + p*b**3 + c*b**4 + d*b**2 + u*b and give p.
0
Rearrange -437*z + 116*z - 2125*z - 583*z + 245*z to r*z + l and give r.
-2784
Rearrange (k + k - 3*k)*(4 + 0 - 3) - 1 + 1 - 3*k + 838 - 4575*k - 921*k - 419 - 419 to n*k + m and give n.
-5500
Rearrange -1518 + 2*i + i**2 + i**3 + 1523 - i**2 - i**2 to the form c*i**3 + d + p*i**2 + u*i and give c.
1
Express (85*g + 224*g + 255*g)*(-1 + 1 - 3 + 2 - 1 + g) in the form i*g**2 + y + c*g and give i.
564
Express -106*t**2 + 26 - 101*t**2 + 205*t**2 - 562*t - 26 in the form n*t + o + y*t**2 and give o.
0
Rearrange (1 + 2 - 1)*(3*p - 6*p + p) - p - p + 3*p - 38523*p - 1 + 45221*p - 1 + 7 to m*p + l and give l.
5
Rearrange w**2 - 162*w**2 - 863*w**2 + 116*w**2 - 1 to the form r*w + q + v*w**2 and give v.
-908
Rearrange (2 - 2 + 5*g)*(-4 + 4 - 2*g)*((0*g + 2*g + 0*g)*(-4 + 5 + 1) - 4*g + 2*g + 3*g - 134 + 480*g + 134) to j*g + l*g**2 + c*g**3 + z and give z.
0
Rearrange 9 + 40*t**3 - 3*t + 26*t**3 - 40*t**3 + 29 + 41 to the form i*t**3 + j*t**2 + x*t + k and give x.
-3
Express -1 + 1 - l + (3141*l + 2658 - 2658)*(3 + 1 + 0) - 2*l - 1 + 1 - 4 - 2*l + 4 as o*l + n and give o.
12559
Express (-33 + 36 - 23 + (-1 + 4 - 5)*(-1 + 3 + 0) - 3 + 3 - 2)*(0*i - 4*i + 7*i) in the form a + h*i and give h.
-78
Express 23 - 103*x**3 - 53*x**3 + 169*x**3 in the form n + l*x**2 + f*x + t*x**3 and give t.
13
Express -871*v + 1775*v + 953 - 905*v as y + x*v and give x.
-1
Rearrange -1574*u + 2711*u + 5621*u to l*u + z and give l.
6758
Express 39*j - 108*j + 33*j + (-3*j - 5*j + 0*j)*(-3 + 0 + 5) + (3*j - 3*j - 2*j)*(-1 - 1 + 0) as q*j + b and give q.
-48
Rearrange -2*v - 7*v - 22 + 12*v + 24 + 3*v - 85*v**2 to the form a*v + t + o*v**2 and give o.
-85
Express 15 + 1 - 59 + 23 + 18 + 9436*m**2 + m in the form h*m**2 + i + d*m and give i.
-2
Express 15*f**2 + 11 - 21*f**2 + 14757*f - 14762*f + 12*f**2 in the form a*f**2 + w*f + g and give a.
6
Express 16 + 30*a - 17 - 14 + 74 + 78 in the form h*a + l and give l.
137
Express -5582*u**2 - 1475*u**2 + 1 - 7836*u**2 - 8*u + 8*u in the form m + w*u**2 + t*u and give w.
-14893
Express -32 - 2*z**2 + 2 - 26 + 12*z - 3 + 11 in the form x*z**2 + m + o*z and give o.
12
Express -51*i**4 - 22*i**4 - 6*i**3 - i + 3*i + 3*i**3 + 1 - i**3 as h*i**2 + z + f*i**3 + k*i**4 + s*i and give h.
0
Rearrange -363*k - 398*k - 24728*k**2 + 761*k to s + m*k + v*k**2 and give v.
-24728
Rearrange 1443*a - 506*a + 72*a - 4 - 433*a to l*a + o and give l.
576
Rearrange (0*h**3 - 5*h**3 + 2*h**3)*(1434 - 1249 + 45*h + 4*h) to r + o*h**4 + y*h + l*h**3 + q*h**2 and give l.
-555
Rearrange (0*y + 7*y - 3*y)*(1 - 1 + y**2) + (-6923 + 91*y**3 + 6923 + 0*y + 0*y)*(8 - 13 - 23) to w*y**3 + z*y**2 + i + r*y and give w.
-2544
Express 17*w**2 + 8 - 6*w**2 - 9*w**2 + 540*w - 1109*w - 23 as a + j*w**2 + n*w and give j.
2
Rearrange (-g + 3*g - 3*g)*(5 + 1 - 4) - 1361*g + 398*g + 672*g to the form w + l*g and give l.
-293
Express -94384*y - 23*y**2 + 28*y**2 + 94432*y - 2 in the form n + m*y + h*y**2 and give n.
-2
Express 306*o + 9*o**2 - 1 + 661*o**2 + o**2 - 2*o**3 - 301*o as j*o + m*o**2 + r*o**3 + t and give m.
671
Express 1543533 - 16157*a - 1543533 in the form d*a + t and give d.
-16157
Rearrange -331*y**2 - 113*y**2 - 119*y**2 - 100*y**2 to r*y + n*y**2 + f and give n.
-663
Express (h**2 + h - h)*((-3 + 6 + 1)*(h - 3*h + h) + 3595*h - 893*h + 455*h) as i*h**2 + x*h + p + j*h**3 and give i.
0
Rearrange -792 - 180 + 82 + 12*j + 285 to the form v + n*j and give n.
12
Rearrange (-269539 + 269539 - 11862*m)*(-3*m**2 - m**2 + 3*m**2) to the form z*m**2 + y + t*m**3 + c*m and give z.
0
Express -140*d - 151*d**3 + 10 + 137*d + d**2 - 28 + 145*d**3 in the form u*d + p*d**3 + b*d**2 + y and give y.
-18
Express 31*j - 8 - 18*j + 38*j + 2 + 26*j as m + f*j and give f.
77
Rearrange -1 + 2021*x + 1889*x - 4480*x to y + u*x and give u.
-570
Express (45 - 12*t - 45)*(-2 + 1 + 2)*(-7102*t + 31322 - 15666 - 15656) as a*t + f + g*t**2 and give g.
85224
Express -29 - 16 + 4 + 41 + 9762*d in the form j + k*d and give j.
0
Express (250 + 24 + 20)*(g + g - 3*g) - 41 + 41 + 6*g in the form s*g + a and give s.
-288
Express -2*d**3 - 2*d - 47 - 23 + 973 - d**2 - 148 as c*d**2 + v*d**3 + j + a*d and give a.
-2
Express (-6*s + 2*s - 2*s)*((1 + 2 - 4)*(3 - 3 + 1) + 1182 + 70 - 9) in the form m*s + j and give m.
-7452
Express -507*r - r**2 + 381*r**3 - 384*r**3 + 414 + 505*r + 3*r**4 in the form f*r**4 + i + h*r**2 + l*r + x*r**3 and give l.
-2
Express 834*y + 2*y**3 - 387*y - 4*y**2 + 13*y**2 - 411*y in the form n*y + t*y**3 + w + a*y**2 and give n.
36
Express 276*v - 278*v - v**4 + 11*v**3 - 3 + 2*v**2 + 0*v**4 in the form t + d*v**4 + b*v**3 + o*v + p*v**2 and give p.
2
Express (2 - 5 + 9)*(2*g + 3*g - 6*g) - 3*g - 15*g + 47*g - 53 + 16*g as h + l*g and give l.
39
Express -22 - f - 73*f + 8*f**2 + 22*f + 3*f**2 + 23 as x*f**2 + w + v*f and give x.
11
Rearrange (1501*j + 1428*j - 199*j)*(0*j + 2*j + 3 - j) to the form s + h*j + g*j**2 and give h.
8190
Express -15*m**3 + 436*m**2 - 629*m**2 + 18*m**3 + 3*m**4 in the form r*m**4 + z + n*m**2 + l*m + p*m**3 and give n.
-193
Express (2 - 2 - 1)*(5 - 5 - q)*(4815*q + 275*q**2 - 267*q**2 - 6045*q) in the form d + h*q**2 + t*q**3 + w*q and give h.
-1230
Express 25 + 27*z**2 - 25 - 25*z**2 - 50*z + 26*z**2 as t*z**2 + h*z + d and give t.
28
Express 359*w**3 - 4*w**4 - 1483*w**2 + 1458*w**2 - 362*w**3 - w + 2 in the form q*w** | {
"pile_set_name": "DM Mathematics"
} |
**3 + 70*d**2 - 18048*d - 3
What is the n'th term of 86739, 86743, 86753, 86769, 86791, 86819, 86853?
3*n**2 - 5*n + 86741
What is the m'th term of -46801, -47371, -48923, -51949, -56941, -64391, -74791?
-82*m**3 + m**2 + m - 46721
What is the l'th term of -1225992, -1225942, -1225818, -1225584, -1225204?
6*l**3 + l**2 + 5*l - 1226004
What is the p'th term of -1779290, -1778751, -1778212, -1777673, -1777134?
539*p - 1779829
What is the u'th term of 138665, 137965, 137265?
-700*u + 139365
What is the i'th term of 468, 2250, 5302, 9624, 15216?
635*i**2 - 123*i - 44
What is the o'th term of 211046, 211007, 210968, 210929?
-39*o + 211085
What is the a'th term of 1573314, 3146614, 4719910, 6293202, 7866490?
-2*a**2 + 1573306*a + 10
What is the m'th term of -5056578, -5056579, -5056582, -5056587, -5056594, -5056603, -5056614?
-m**2 + 2*m - 5056579
What is the o'th term of -317, 515, 2491, 5611?
572*o**2 - 884*o - 5
What is the g'th term of -7456, -14790, -22122, -29452?
g**2 - 7337*g - 120
What is the v'th term of 5725, 5686, 5673, 5698, 5773, 5910, 6121, 6418?
2*v**3 + v**2 - 56*v + 5778
What is the m'th term of -4727, -4659, -4491, -4193, -3735, -3087, -2219?
5*m**3 + 20*m**2 - 27*m - 4725
What is the m'th term of -915, -3379, -7477, -13197, -20527, -29455, -39969?
2*m**3 - 829*m**2 + 9*m - 97
What is the q'th term of 263, 218, 335, 698, 1391, 2498?
14*q**3 - 3*q**2 - 134*q + 386
What is the u'th term of -243, -1570, -5153, -12114, -23575, -40658, -64485, -96178?
-187*u**3 - 6*u**2 - 50
What is the z'th term of -25829, -33847, -41865?
-8018*z - 17811
What is the w'th term of 120802806, 120802804, 120802802, 120802800, 120802798, 120802796?
-2*w + 120802808
What is the y'th term of 18659410, 74637641, 167934692, 298550563, 466485254?
18659410*y**2 + y - 1
What is the i'th term of 39727, 79435, 119121, 158785, 198427, 238047, 277645?
-11*i**2 + 39741*i - 3
What is the d'th term of -22972, -77684, -168870, -296530, -460664, -661272?
-18237*d**2 - d - 4734
What is the y'th term of 9609, 5584, 1559, -2466?
-4025*y + 13634
What is the m'th term of -2470210, -2470228, -2470266, -2470330, -2470426, -2470560?
-m**3 - 4*m**2 + m - 2470206
What is the n'th term of 5785, 4510, 3255, 2026, 829, -330, -1445, -2510?
n**3 + 4*n**2 - 1294*n + 7074
What is the i'th term of -16840, -30355, -43870?
-13515*i - 3325
What is the f'th term of 143031195, 143031200, 143031205, 143031210, 143031215, 143031220?
5*f + 143031190
What is the v'th term of -133, -950, -3197, -7588, -14837, -25658?
-119*v**3 - v**2 + 19*v - 32
What is the n'th term of 48305, 48440, 48679, 49034, 49517?
2*n**3 + 40*n**2 + n + 48262
What is the m'th term of 5684, 11163, 16642, 22121, 27600, 33079?
5479*m + 205
What is the o'th term of -16190094, -16190095, -16190096, -16190097, -16190098, -16190099?
-o - 16190093
What is the t'th term of -4022, -7872, -11718, -15560, -19398, -23232?
2*t**2 - 3856*t - 168
What is the j'th term of 16825, 16756, 16531, 16072, 15301, 14140, 12511?
-13*j**3 + 22*j + 16816
What is the b'th term of 100620, 201944, 303268, 404592?
101324*b - 704
What is the u'th term of 3063, 6040, 8923, 11664, 14215?
-8*u**3 + u**2 + 3030*u + 40
What is the j'th term of 15116, 117818, 395682, 936290, 1827224, 3156066, 5010398, 7477802?
14597*j**3 - j**2 + 526*j - 6
What is the l'th term of -23571, -47164, -70775, -94410, -118075?
-l**3 - 3*l**2 - 23577*l + 10
What is the w'th term of -1512, -5444, -11946, -20976, -32492?
7*w**3 - 1327*w**2 - 192
What is the k'th term of -535, -4711, -11671, -21415, -33943?
-1392*k**2 + 857
What is the t'th term of 3012089, 3012085, 3012081?
-4*t + 3012093
What is the d'th term of 2199, 2450, 2669, 2850, 2987, 3074, 3105?
-d**3 - 10*d**2 + 288*d + 1922
What is the j'th term of 11046, 19339, 27632?
8293*j + 2753
What is the l'th term of 3732, 19465, 45686, 82395?
5244*l**2 + l - 1513
What is the f'th term of -2580040, -5160082, -7740124, -10320166, -12900208, -15480250?
-2580042*f + 2
What is the b'th term of -155318, -310936, -466554?
-155618*b + 300
What is the b'th term of -452176, -452093, -452010, -451927, -451844, -451761?
83*b - 452259
What is the s'th term of -113899, -113952, -114005, -114058, -114111, -114164?
-53*s - 113846
What is the n'th term of -37087, -74225, -111407, -148639, -185927, -223277?
-n**3 - 16*n**2 - 37083*n + 13
What is the h'th term of -9880, -17042, -24204, -31366, -38528?
-7162*h - 2718
What is the r'th term of 24126, 48301, 72476, 96651?
24175*r - 49
What is the q'th term of 1552359, 1552376, 1552391, 1552404?
-q**2 + 20*q + 1552340
What is the h'th term of 2310916, 2310920, 2310926, 2310934, 2310944?
h**2 + h + 2310914
What is the v'th term of -20686182, -20686202, -20686222, -20686242, -20686262?
-20*v - 20686162
What is the h'th term of -94732342, -94732344, -94732346?
-2*h - 94732340
What is the h'th term of 1274, 2206, 2770, 2960, 2770?
-h**3 - 178*h**2 + 1473*h - 20
What is the y'th term of -199095, -398195, -597303, -796419, -995543, -1194675, -1393815?
-4*y**2 - 199088*y - 3
What is the j'th term of 37769, 37821, 37873, 37925, 37977?
52*j + 37717
What is the a'th term of 5387, 10455, 15523, 20591, 25659?
5068*a + 319
What is the v'th term of -1398219, -5592873, -12583961, -22371483?
-1398217*v**2 - 3*v + 1
What is the o'th term of 104076, 208157, 312250, 416355?
6*o**2 + 104063*o + 7
What is the h'th term of 7314, 14616, 21902, 29178, 36450, 43724?
h**3 - 14*h**2 + 7337*h - 10
What is the r'th term of 216, 256, 354, 534, 820, 1236, 1806?
4*r**3 + 5*r**2 - 3*r + 210
What is the g'th term of 153300, 151732, 150164, 148596, 147028, 145460?
-1568*g + 154868
What is the t'th term of -1686579, -3373105, -5059589, -6746031, -8432431?
21*t**2 - 1686589*t - 11
What is the q'th term of 154, -748, -1640, -2522, -3394, -4256, -5108?
5*q**2 - 917*q + 1066
What is the l'th term of 5467, 10277, 14409, 17863, 20639?
-339*l**2 + 5827*l - 21
What is the a'th term of -3136, -3051, -2928, -2749, -2496?
3*a**3 + a**2 + 61*a - 3201
What is the x'th term of -586, -4098, -13576, -31990, -62310, -107506, -170548?
-495*x**3 - 13*x**2 - 8*x - 70
What is the y'th term of -10009, -20093, -30183, -40285, -50405, -60549, -70723, -80933?
-y**3 + 3*y**2 - 10086*y + 75
What is the a'th term of -3646540, -3646542, -3646546, -3646552?
-a**2 + a - 3646540
What is the u'th term of -284992, -284959, -284906, -284833, -284740, -284627, -284494?
10*u**2 + 3*u - 285005
What is the g'th term of -31157, -62306, -93455, -124604, -155753, -186902?
-31149*g - 8
What is the h'th term of 3250, 2450, 1082, -854, -3358?
-284*h**2 + 52*h + 3482
What is the z'th term of 6455, 25023, 55649, 98333?
6029*z**2 + 481*z - 55
What is the v'th term of 10927, 9723, 6453, 85, -10413, -26073, -47927, -77007?
-172*v**3 - v**2 + 3*v + 11097
What is the x'th term of -756985925, -756985926, -756985927?
-x - 756985924
What is the z'th term of -10053, -79726, -268665, -636504, -1242877, -2147418?
-9939*z**3 + z**2 - 103*z - 12
What is the x'th term of -2504571275, -2504571276, -2504571277?
-x - 2504571274
What is the b'th term of 16074, 16598, 17468, 18684, 20246, 22154, 24408?
173*b**2 + 5*b + 15896
What is the d'th term of 1532511, 6130024, 13792537, 24520050, 38312563?
1532500*d**2 + 13*d - 2
What is the m'th term of 241130942, 241130939, 241130938, 241130939?
m**2 - 6*m + 241130947
What is the z'th term of -1531058097, -1531058098, -1531058099, -1531058100?
-z - 1531058096
What is the t'th term of 54201923, 108403848, 162605775, 216807704, 271009635, 325211568?
t**2 + 54201922*t
What is the c'th term of 10470593, 20941236, 31411879, 41882522?
10470643*c - 50
What is the h'th term of 315, 377, 461, 567?
11*h**2 + 29*h + 275
What is the k'th term of 1324267, 1325126, 1325985, 1326844?
859*k + 1323408
What is the p'th term of -10796951, -10796939, -10796919, -10796891, -10796855, -10796811, -10796759?
4*p**2 - 10796955
What is the o'th term of 609643, 1219126, 1828609, 2438092, 3047575?
609483*o + 160
What is the f'th term of -25, -1819, -7463, -19129, -38989, -69215, -111979, -169453?
-362*f**3 + 247*f**2 - f + 91
What is the w'th term of 162, 1266, 3122, 5736, 9114, 13262, 18186?
w**3 + 370*w**2 - 13*w - 196
What is the w'th term of -12279651, -24559300, -36838949?
-12279649*w - | {
"pile_set_name": "DM Mathematics"
} |
. Is 39 a factor of l?
True
Suppose 2*c - 4232 = -5*w, 4744 = 4*w + c + 1356. Is 2 a factor of w?
True
Let p = 22338 + 9740. Does 173 divide p?
False
Suppose 0 = 3*q + g - 13, 27*q + 4 = 29*q + 3*g. Suppose 22 = q*n - 318. Is n a multiple of 6?
False
Suppose 4*u + 11 - 3 = 0, 0 = 4*j + 4*u. Let x(d) = -2*d**3 + d**2 - 4*d**2 + 2*d**j - 5*d + d**3 + 7. Is x(-5) a multiple of 33?
True
Suppose -13*n + 323 = -197. Let d be n/((10/35)/(8/14)). Suppose -2*p - z = -254 + d, -2*z = 4. Does 44 divide p?
True
Let z(r) be the third derivative of 37*r**4/24 + 16*r**3/3 - 13*r**2 + 1. Does 11 divide z(3)?
True
Let v = -1096 - -893. Let y = -130 - -29. Let p = y - v. Is p a multiple of 29?
False
Let f(u) = -u**3 + 119*u**2 - 912*u - 438. Is 23 a factor of f(110)?
True
Does 124 divide ((-2604)/(-5))/(7/((-11200)/(-30)))?
True
Let p = -277 - -161. Let u = p + 62. Is 2/(-9) - 3*580/u a multiple of 8?
True
Let i = 386 + -454. Let k = i - -256. Is k a multiple of 45?
False
Suppose 2 = -6*b + 26. Suppose 18 = y + x - 29, 0 = -b*x - 20. Is y a multiple of 13?
True
Let j be 15/((-2)/(-18)*3). Suppose 0 = 5*l + m - j, 5*m - 12 = -5*l + 13. Suppose l*g - 6*g = 192. Does 8 divide g?
True
Let h = -667 + 291. Let y = h + 831. Is y a multiple of 13?
True
Let w = 24635 - 5226. Does 13 divide w?
True
Let u(t) = 35*t - 33. Let z be u(9). Let k = z + -214. Is k even?
True
Let u be (534/(-8) + 0)*88/(-66). Suppose 220 = -4*q - q. Let x = q + u. Is x a multiple of 12?
False
Suppose 5*o - 4*u - 43 = -7*u, -o = -3*u - 5. Let f be (-4)/10 - 18/5. Is o/(f/44*-1) a multiple of 8?
True
Let j(p) be the third derivative of -p**6/120 - 4*p**5/15 - p**4/24 - 17*p**3/6 + 18*p**2. Let o be j(-16). Is (-24)/(-3 - -5)*o a multiple of 3?
True
Let k = -32 + 73. Suppose -k*d + 38*d + 9 = 0. Suppose -5*p - 16 = -2*t, -5*p - d = -t - 0. Does 13 divide t?
True
Suppose 4*z + 2*u + 510 = 0, -2*u + 5 - 7 = 0. Let l = z - -359. Suppose 0 = 4*m - 28 - l. Does 22 divide m?
False
Suppose 200349 = 74*z - 35*z + 74*z. Is z a multiple of 7?
False
Let f(a) = a**3 + 28*a**2 + 23*a - 9. Let r be f(-27). Suppose 8*k - r - 21 = 0. Does 5 divide k?
True
Let t(h) = 15568*h**3 + 2*h**2 - 9*h + 9. Is t(1) a multiple of 6?
True
Is ((-16)/10)/(27/(-5940))*8 a multiple of 88?
True
Let x(u) = -u**2 - 5*u + 2. Let y be x(-4). Let j = y - -44. Is j a multiple of 5?
True
Let t(f) = 21*f - 13. Let c(w) = 42*w - 28. Let h(q) = 6*c(q) - 14*t(q). Is h(-3) a multiple of 70?
True
Suppose 4*x = 5*s - 42664, 4*x + 28810 = -5*s + 71466. Does 9 divide s?
True
Let x(i) = i**2 - i - 14. Let h be x(-7). Is 4 a factor of h + -37 - -4*43?
False
Let c be -4 + -1 + -30 + 106. Suppose -c = 5*s - 256. Is s a multiple of 8?
False
Suppose -14*n + 9*n + 15 = 0. Suppose n*l - 48 = -5*l. Suppose 0 = 2*r - l*r + 368. Does 23 divide r?
True
Let l(x) = 87*x**2 + 3*x - 1. Let q be 11/((-3 - -2)/1). Let s(i) = 260*i**2 + 8*i - 3. Let r(w) = q*l(w) + 4*s(w). Is r(1) a multiple of 9?
True
Let t(b) = 4*b + 174. Suppose 5*j - 2*o + 115 = 0, -o = -3*o + 10. Does 6 divide t(j)?
True
Suppose -4*f + 3*f + 10 = 0. Suppose -o - 4*m - 16 = 0, -o - f = m - 0*m. Does 10 divide 544/18 + (48/27)/o?
True
Let s = 100 + 160. Let n(w) = 2*w**3 - 3*w**2 + 3*w - 4. Let v be n(5). Let p = s - v. Is 13 a factor of p?
False
Let i(y) be the third derivative of -23*y**4/8 + 79*y**3/3 - 31*y**2 - 2*y. Is i(-12) a multiple of 58?
True
Let i(t) = t**3 - 10*t**2 - 6*t. Let c be i(10). Let p = c + 67. Suppose 0*b + p*b = 1225. Does 23 divide b?
False
Does 129 divide (308 - 50)/(6/561)?
True
Suppose 4*z + 3*k = -3 + 12, 0 = -2*k - 2. Suppose z*q - 39*q + 5220 = 0. Does 18 divide q?
False
Let p(y) = 4*y**2 - 6*y + 83. Is 19 a factor of p(-23)?
True
Let i(t) = -2*t + 4. Let v be i(0). Suppose -641 = -x + v*f, -4*f - 13 + 29 = 0. Does 53 divide x?
False
Suppose -13*r + 2016 = 15*r. Suppose -2*o + 21 = b - o, -4*b + 70 = -3*o. Suppose -r = -b*f + 17*f. Is f a multiple of 9?
True
Suppose 4*q - 3681 = 6479. Is (-3)/((-15)/q) - 2 a multiple of 70?
False
Let x be 1/6 - (-35673)/18. Is 7/(-105) - x/(-30) a multiple of 2?
True
Let p(b) = 57*b**3 + 4*b**2 + 48*b - 260. Does 8 divide p(6)?
False
Let v be ((-3)/12)/((-1)/44). Suppose -5 - v = -4*h. Suppose p + 166 = h*x - p, -4*x + 169 = p. Is 21 a factor of x?
True
Let w(x) = -x + 9. Let l be w(-7). Suppose 22*f - 300 = l*f. Suppose 4*s - 7 - 9 = 0, -f = -g + 3*s. Is 31 a factor of g?
True
Suppose 2*h - 25007 = -3*b, 5*b + 4620 - 46281 = h. Is b a multiple of 113?
False
Let c = -20 - -20. Suppose 397 = 5*x - t, -3*t - 2 + 11 = c. Let b = -54 + x. Is b a multiple of 13?
True
Suppose -23*t + 111514 = 74753 - 145330. Does 3 divide t?
True
Suppose 0 = 3*v + 4*n - 7272, -n = -14*v + 9*v + 12120. Is v a multiple of 101?
True
Let o(a) = 199*a. Let k be ((-3)/(-3))/((-2)/10). Let f = 6 + k. Is 34 a factor of o(f)?
False
Suppose 2*h = -3*i + 7*i + 30, -2*i + 30 = 2*h. Suppose -h*t + 2380 = 2*t. Is 35 a factor of t?
True
Let a(f) = f**2 - 2*f - 19. Let m be a(6). Does 29 divide (-6)/(-14) + (m - (-10848)/21)?
True
Let f(h) = h**3 + h - 1. Let t be f(0). Let v be 16/4 - (1 + 1 + t). Is 43 a factor of (v + -6)*(0 - 258/9)?
True
Suppose -5*r + 26398 = 3*x, -x - 10546 = -46*r + 44*r. Does 46 divide r?
False
Let q(j) = -2*j**2 - 40*j + 44. Let w be q(-21). Let p = 5 + -5. Suppose p = o + 2*o - 3, w*b = -o + 119. Is b a multiple of 16?
False
Let x(u) = 29*u + 193. Let t be x(-7). Is 96/t*125/(-2) a multiple of 75?
True
Let x be 5/(-1) + -3*548/(-12). Let f = x - -60. Is 32 a factor of f?
True
Let o = -39098 + 58973. Is 17 a factor of -5 + o/40 + (-2)/(-16)?
False
Suppose -2 - 2 = 4*l, -4*p - 5*l + 15 = 0. Suppose -p*v = 2*m - 74, -15 = -m + 2*v + 40. Suppose 43*y + 280 = m*y. Is y a multiple of 35?
True
Let q(a) = a**3 + 20*a**2 - 22*a + 22. Let l be q(-21). Suppose 5*g + 8 = -7, -2*g - 394 = -4*o. Let n = o - l. Is 7 a factor of n?
False
Let l be (36/15)/((6 - 10)/20). Let d be (-2)/4 + (-146)/(-4). Let q = l + d. Is 10 a factor of q?
False
Let b = -530 + 806. Suppose 277*s - b*s - 461 = 0. Does 10 divide s?
False
Let h = 11 + -5. Let n(a) = 14*a**2 - 5*a + 9. Let t(f) = -12*f**2 + 6*f - 7. Let i(l) = -5*n(l) - 6*t(l). Is i(h) a multiple of 2?
False
Let z(g) = 159*g**2 - 40*g - 31. Let q be z(7). Suppose 0 = -14*n + q + 4616. Does 24 divide n?
True
Suppose -205 = -10*s - 75. Let y(g) = 96*g - 8. Let t be y(7). Suppose 0 = 7*c + s - t. Does 8 divide c?
False
Let w(k) = 15*k**2 - 31*k + 269. Does 140 divide w(-22)?
False
Let o be (47/(-7) + 5)*(-140)/8. Let y(v) = v**2 - 11*v - 124. Is y(o) a multiple of 26?
False
Let g(r) = -r**2 - 2. Let w be g(2). Let b be (-210 + (-2 - w))/(-1). Suppose 50 = 4*d - b. Is 8 a factor of d?
True
Suppose 5*d + 417 = 47. Suppose 112*w - 93*w + 2261 = 0. Let x = d - w. Does 9 divide x?
True
Suppose -3*t + 873 = 3*y, -221*y + 2*t = -220*y - 282. Is 7 a factor of y?
False
Suppose -22*d - 15603 = -d. Let l = 1191 + d. Is 8 a factor of l?
True
Let r(h) = -2 - 2 - h**3 - 13*h**2 + 5*h**2 + 16*h + 2*h**2. Let t = -65 - -56. Does 23 divide r(t)?
False
Let w(v) = -4*v - 51. Let a be w(-17). Suppose 10*k = a*k - 56. Suppose k*t - 16 = 64. Does 5 divide t?
True
Let r = -41 + 43. Suppose -4*p - 3*u = -r*u - 4933, 3*p + 2*u - 3701 = 0. Is p a multiple of 11?
False
Let b(a) be the second derivative of a**4/12 + a**3/3 - 15*a**2 + a. Let x = 533 - 543. Does 11 divide b(x)?
False
Suppose 2*u + 2*z = 4*z - 12, 4 = 4*u + 3*z. Let f be -21 + 6 + 1/(u/(-6)). Does 6 divide 2/(-4) + 6 + (-966)/f?
False
Let i(v) = 2*v**2 - 24*v + 17. Let k be i(19). Let p be (1 - 152) + (3 - 7). Let y = p + k. Is 12 a factor of y?
False
Suppose 5 = -4*w - 7. Let x(k) = -34*k + 16. Let n be x(w). Suppose -3*z + 2*z = -n. Does 15 divide z?
False
Let k = -102 - -32. Suppose -5358 = 9*t - 104*t + 6612. Let z = t + k. Does 14 divide z?
True
Let k = 447 + -279. Suppose 8*v + 4*i = 11*v - 3, 4*i = 12. Suppose -v*z + k = z. Does 7 divide z?
True
Suppose 54*l - 13066 = 7643 + 4293. Does 53 divide l?
False
Let c = 185 + -192. Let x(i) = -17*i + 23. Does 18 divide x(c)?
False
Suppose -3112 = -1071*m + 1070*m. Does 40 divide m?
False
Let y(l) be the first derivative of 56*l**3/3 - 3*l**2 - 4*l + 21. Is y(-1) a multiple of 4?
False
Suppose -5*b + 23 = -4*b + 5*h, 5*h = 20. Su | {
"pile_set_name": "DM Mathematics"
} |
**3 - 6*b + 134040
What is the second derivative of 99380338*n**5 - 231981*n - 3 wrt n?
1987606760*n**3
Differentiate 39573292*a**3 + 27558269 wrt a.
118719876*a**2
What is the derivative of -334734*d**3 - 57*d**2 - 51500001 wrt d?
-1004202*d**2 - 114*d
Find the second derivative of -r**5 - 5923820*r**2 + 5993481*r.
-20*r**3 - 11847640
Find the second derivative of 479*a**3*l**3 + 8322*a**3*l + 136*a**2*l - 509*a*l**2 + 26*l**3 wrt l.
2874*a**3*l - 1018*a + 156*l
Find the third derivative of -11429852*n**3*o**2*x - 7*n**3*o*x + 9*n**2*x + 2*n**2 - n*o**2*x + 3403*n*o*x + 45*n*o - n*x + o**2*x wrt n.
-68579112*o**2*x - 42*o*x
Find the third derivative of 421404*o**5 - 14*o**3 - 2762524*o**2 - 6*o.
25284240*o**2 - 84
What is the second derivative of 194018747*k**4 - 203260638*k?
2328224964*k**2
Find the second derivative of 2319*o**2*x**2 + 15590*o**2*x - o*x**3 - o*x + 4*o - 64*x**4 wrt x.
4638*o**2 - 6*o*x - 768*x**2
What is the derivative of -40348603*p*y + y + 12591908 wrt p?
-40348603*y
What is the third derivative of 5987*a**5 - 14*a**4 - 75*a**3 - 3251*a**2 + 403*a - 1?
359220*a**2 - 336*a - 450
Differentiate -2*q**2 + 28973823*q + 349372568 with respect to q.
-4*q + 28973823
What is the third derivative of 31813049*h**6 - 468*h**2 - 8540?
3817565880*h**3
Differentiate -318825295*w*x**2 + 5*x**2 + 281*x + 57850 wrt w.
-318825295*x**2
Find the second derivative of -83682*g**4*t**2 - 2561*g**2*t**2 + 3*g*t**2 - 31*g*t + 935*g - 2*t**2 - 84*t + 1 wrt g.
-1004184*g**2*t**2 - 5122*t**2
What is the third derivative of 9*i**5*o + 44*i**4*o - 811*i**3*o + 1034*i**2*o + 1196*i*o - 2*o wrt i?
540*i**2*o + 1056*i*o - 4866*o
Find the second derivative of 15773049*r**5*u + 2*r**3*u**2 - 2*r*u**2 + 40*r*u - 23*r - 6*u**2 - 68 wrt r.
315460980*r**3*u + 12*r*u**2
What is the first derivative of 5722899*q - 16569761 wrt q?
5722899
Find the first derivative of 4*m*p**3*x + 1154036*m*p**3 + m*p*x + 6*m*p - p**3 + 1540751*p**2*x wrt x.
4*m*p**3 + m*p + 1540751*p**2
Find the third derivative of -30219664*v**4 - 3873*v**2 + 2361*v - 2.
-725271936*v
Find the third derivative of 122332075*h**3*i**3 + h**3*i - 2*h**3 + 212872*h**2*i**2 - 5*h wrt i.
733992450*h**3
Find the second derivative of 62*y**5 + 155*y**4 - 4*y**3 - 1784*y + 6.
1240*y**3 + 1860*y**2 - 24*y
Find the second derivative of 316*f**3*w - 73*f**2*k**2 + 21*f**2*w**3 + 2*f*k*w + 4*k**2 - 57675*k*w**3 wrt f.
1896*f*w - 146*k**2 + 42*w**3
What is the first derivative of 88*g*l - 12430785*g - 6111*l wrt l?
88*g - 6111
What is the derivative of -3754*o**2*u + 472*o**2 + 122897922*u wrt o?
-7508*o*u + 944*o
Find the second derivative of 4*q**2*v**2*y - 34391*q**2*v**2 - 28*q**2*v*y + 1906*q**2*y - 5*q*v**2*y + 3*q*v - y wrt v.
8*q**2*y - 68782*q**2 - 10*q*y
Differentiate 4*k*m*q + 13573449*k*m - 2*k*q - 60521*m*q + q with respect to q.
4*k*m - 2*k - 60521*m + 1
Find the third derivative of 5*f**4*q + 230*f**3*q - 709*f**3 + 61*f**2*q - 3*f**2 - 5*f*q + 2*f - q - 592 wrt f.
120*f*q + 1380*q - 4254
What is the third derivative of 13258717*f**5 + 387*f**2 - 123767 wrt f?
795523020*f**2
Find the third derivative of -80297753*m**3 + m**2 - 8932543 wrt m.
-481786518
Find the second derivative of -5*f**2*q*w**2 - 150*f**2*q*w + 2*f**2*q - 2491681*f*q*w**2 + 2866*f*q*w - 18*f*q - f*w wrt w.
-10*f**2*q - 4983362*f*q
What is the second derivative of -2364736*h**3 + 5930299*h + 2?
-14188416*h
What is the third derivative of -7*b**4*o + 1993*b**4 - 2*b**3*o - 7*b**3 - 7*b**2*o - 312*b**2 + 5*b*o + 17*b wrt b?
-168*b*o + 47832*b - 12*o - 42
What is the third derivative of 130656675*b**3 + 28*b**2 + 3369*b - 24 wrt b?
783940050
Find the third derivative of 5101427*t**3 + 13860633*t**2 wrt t.
30608562
What is the third derivative of 14965907*t**3 + 13623*t**2 - 4*t + 40 wrt t?
89795442
What is the second derivative of 304*l**3 + 3510*l**2 - 4*l + 1093700 wrt l?
1824*l + 7020
Find the first derivative of 5397*o**4*u**3 - 392*o**2*u**3 - 1178*u**3 - 2*u**2 + 491*u wrt o.
21588*o**3*u**3 - 784*o*u**3
What is the second derivative of -8955180*i**4*t**3 - 7*i**2*t**3 - 4*i*t**3 - 13*i*t + 24*i + 8065*t**3 - 2*t wrt i?
-107462160*i**2*t**3 - 14*t**3
What is the third derivative of -18*v**3*x - 9587614*v**3 + 808101*v**2*x - v wrt v?
-108*x - 57525684
What is the derivative of -2532*f**4*z + 11670*f**4 - 112207071*z wrt f?
-10128*f**3*z + 46680*f**3
What is the third derivative of 11333570*d**3 - 18234432*d**2 wrt d?
68001420
What is the third derivative of 7*k**5*w + 175572*k**3*w - 6305*k**2*w + 3*k**2 - k*w + 4*w wrt k?
420*k**2*w + 1053432*w
What is the derivative of 269*i**4 + 16393*i**2*t - 6*t - 1386769 wrt i?
1076*i**3 + 32786*i*t
Find the third derivative of 263059817*m**4 - 2*m**3 + 532010745*m**2.
6313435608*m - 12
Find the second derivative of -210704039*i**2 + 547959814*i wrt i.
-421408078
What is the third derivative of 24193643*q**3 - 47*q**2 - 19*q + 2610?
145161858
Find the second derivative of -11122364*o**2 + 3788175*o.
-22244728
What is the third derivative of 4*n*q**4*x - 5*n*q**4 + n*q**2*x - 309*n*q*x - 2*n*q + 3*n*x + 7475*q**3*x - 3*q**2 + 1 wrt q?
96*n*q*x - 120*n*q + 44850*x
Find the first derivative of 43*o*r**2*w + o*r - 857*o*w + 2*o - r**2*w - 13*r**2 - 33*r*w + 26*r + 6 wrt o.
43*r**2*w + r - 857*w + 2
Find the third derivative of 9564774*q**6 + 21*q**2 + 3*q - 1432 wrt q.
1147772880*q**3
What is the third derivative of 374*o**5 + 56*o**4 + 3*o**3 - 4500*o**2 - 502*o wrt o?
22440*o**2 + 1344*o + 18
Find the second derivative of 456*h**5 + 24375*h**4 + 22676604*h.
9120*h**3 + 292500*h**2
Find the second derivative of 16984368*z**2 + 15964758*z wrt z.
33968736
What is the first derivative of -18393*f**3 - 47*f**2 - 4*f + 23579714?
-55179*f**2 - 94*f - 4
What is the third derivative of 1419164*f**2*p**3 - 1170*f**2*p + f*p**2 - 8*f*p + 8*p**4 - 3*p - 3 wrt p?
8514984*f**2 + 192*p
Find the first derivative of -5*c**2 + 5217891*c - 423038315.
-10*c + 5217891
Find the second derivative of -116*t**3 - 5127*t**2 - 6950933*t wrt t.
-696*t - 10254
What is the second derivative of 48076*p**3*q + 1551*p**2*q**2 + 2*p*q**2 + 5*p*q - 2*p - 1647*q - 94 wrt p?
288456*p*q + 3102*q**2
What is the third derivative of -188036038*i**3*k**6 - i**3*k - 20*i**2*k**2 + 250*i*k**2 - 3*i*k + 269*k**2 wrt k?
-22564324560*i**3*k**3
Differentiate -571505693*c + 201614606 with respect to c.
-571505693
Find the third derivative of 8667*c**3*j**2 - 2*c**3*j + 12*c**3 + 60*c**2*j**2 - 11769*c**2*j wrt c.
52002*j**2 - 12*j + 72
What is the second derivative of 2*d*t**2 - 15194821*d*t - 73323273*t**2 wrt t?
4*d - 146646546
What is the second derivative of 20992907*f**2 - f - 26312920?
41985814
Find the third derivative of 4570329*s**5 - s**3 + 77*s**2 + 2109.
274219740*s**2 - 6
Find the second derivative of 624177465*d**4 + 501*d + 251765.
7490129580*d**2
Find the first derivative of -46417245*m + 30629232 wrt m.
-46417245
What is the third derivative of -2*r**6 + 2953*r**3 - 10*r**2 - 157628*r wrt r?
-240*r**3 + 17718
What is the third derivative of 57*b**2*s**5 - b**2*s**2 - 9*b**2*s - 111995*s**6 - 633816*s wrt s?
3420*b**2*s**2 - 13439400*s**3
Find the first derivative of 18643849*l**4*u**3 - 8*u**3 + 11*u**2 - u - 40616 wrt l.
74575396*l**3*u**3
What is the first derivative of -14*y**3*z + 780*y**3 + 177*y**2 - 13*y - 301939*z wrt z?
-14*y**3 - 301939
What is the derivative of -19*d**4 - d**3 - d**2 - 7488*d - 3782960 wrt d?
-76*d**3 - 3*d**2 - 2*d - 7488
Find the third derivative of -7049917*z**4 + 2*z**2 - 427750*z + 1 wrt z.
-169198008*z
What is the third derivative of -b**3*f**3 + 62432*b**3*f + 3*b**3 - 3*b**2*f**2 - 2*b*f**3 + 41985*b + f**3 - f**2 + 4*f wrt b?
-6*f**3 + 374592*f + 18
Find the third derivative of 2420*y**5 + 2169*y**4 - 11*y**2 + 37699 wrt y.
145200*y**2 + 52056*y
Find the second derivative of -10*k*s**2 - 3*k*s + 239573*k - 124189*s**2 + 2*s - 2 wrt s.
-20*k - 248378
What is the first derivative of 10522617*x*z + x + 661*z - 830 wrt x?
10522617*z + 1
What is the second derivative of -20186*i*p**3 + 5*i*p - i - 193*p**4 - 2*p + 245 wrt p?
-121116*i*p - 2316*p**2
Find the first derivative of 26*o**2 - 345571*o - 627808230.
52*o - 345571
What is the second derivative of -12254882*o**2 + 7*o + 18782 | {
"pile_set_name": "DM Mathematics"
} |
the z'th term of -1962, -3922, -5882?
-1960*z - 2
What is the w'th term of 12, 58, 134, 240, 376?
15*w**2 + w - 4
What is the i'th term of -10, -16, -36, -76, -142, -240, -376?
-i**3 - i**2 + 4*i - 12
What is the l'th term of -81, -172, -323, -534, -805, -1136, -1527?
-30*l**2 - l - 50
What is the j'th term of -352, -346, -336, -322, -304, -282?
2*j**2 - 354
What is the s'th term of 53, 55, 57, 59, 61, 63?
2*s + 51
What is the a'th term of -141, -143, -157, -189, -245, -331, -453, -617?
-a**3 + 5*a - 145
What is the t'th term of -41, 2, 125, 370, 779, 1394, 2257?
7*t**3 - 2*t**2 - 46
What is the a'th term of -9, 14, 63, 150, 287, 486, 759, 1118?
2*a**3 + a**2 + 6*a - 18
What is the h'th term of -194, -184, -176, -170, -166?
-h**2 + 13*h - 206
What is the h'th term of -1007, -1014, -1023, -1034?
-h**2 - 4*h - 1002
What is the j'th term of 789, 788, 787, 786, 785, 784?
-j + 790
What is the k'th term of -20, -9, 10, 37, 72, 115, 166?
4*k**2 - k - 23
What is the n'th term of -11, 2, 23, 52, 89, 134, 187?
4*n**2 + n - 16
What is the l'th term of 174, 343, 510, 675, 838, 999?
-l**2 + 172*l + 3
What is the m'th term of 6, -22, -76, -162, -286, -454, -672?
-m**3 - 7*m**2 + 14
What is the t'th term of 41, 69, 81, 77, 57, 21, -31?
-8*t**2 + 52*t - 3
What is the z'th term of 79, 198, 327, 472, 639, 834, 1063, 1332?
z**3 - z**2 + 115*z - 36
What is the z'th term of 18, 14, -14, -78, -190, -362, -606, -934?
-2*z**3 + 10*z + 10
What is the q'th term of -9, -4, -1, 0?
-q**2 + 8*q - 16
What is the p'th term of 39, 78, 117, 156, 195, 234?
39*p
What is the u'th term of 6, 13, 20, 27, 34?
7*u - 1
What is the v'th term of 27, 48, 67, 84, 99?
-v**2 + 24*v + 4
What is the c'th term of -97, -187, -275, -361, -445, -527?
c**2 - 93*c - 5
What is the t'th term of -30, -106, -232, -408, -634, -910, -1236?
-25*t**2 - t - 4
What is the a'th term of 9, 37, 121, 291, 577, 1009, 1617, 2431?
5*a**3 - 2*a**2 - a + 7
What is the m'th term of 43, 61, 91, 133, 187?
6*m**2 + 37
What is the k'th term of 29, 25, 21?
-4*k + 33
What is the z'th term of -21, -40, -57, -72?
z**2 - 22*z
What is the w'th term of -230, -228, -226?
2*w - 232
What is the d'th term of 515, 1062, 1607, 2150, 2691, 3230?
-d**2 + 550*d - 34
What is the x'th term of 5635, 5636, 5637, 5638, 5639?
x + 5634
What is the x'th term of -342, -686, -1030, -1374?
-344*x + 2
What is the j'th term of 291, 292, 305, 336, 391, 476, 597?
j**3 - 6*j + 296
What is the p'th term of -11, -16, -19, -20, -19, -16, -11?
p**2 - 8*p - 4
What is the q'th term of -2, -13, -36, -77, -142?
-q**3 - 4*q + 3
What is the m'th term of -83, -114, -149, -188, -231, -278, -329?
-2*m**2 - 25*m - 56
What is the h'th term of -21, -12, -1, 12, 27, 44?
h**2 + 6*h - 28
What is the u'th term of -16, -135, -334, -613, -972?
-40*u**2 + u + 23
What is the v'th term of 3, -85, -229, -429, -685, -997?
-28*v**2 - 4*v + 35
What is the w'th term of 22, 95, 216, 385?
24*w**2 + w - 3
What is the w'th term of 255, 480, 671, 828?
-17*w**2 + 276*w - 4
What is the a'th term of -24, -74, -122, -168, -212?
a**2 - 53*a + 28
What is the n'th term of -501, -499, -495, -489, -481?
n**2 - n - 501
What is the t'th term of 144, 108, 56, -18, -120, -256, -432?
-t**3 - 2*t**2 - 23*t + 170
What is the a'th term of 172, 173, 182, 205, 248, 317?
a**3 - 2*a**2 + 173
What is the u'th term of 530, 537, 564, 623, 726, 885, 1112, 1419?
2*u**3 - 2*u**2 - u + 531
What is the o'th term of 13, 43, 89, 151, 229, 323?
8*o**2 + 6*o - 1
What is the t'th term of -98, -197, -294, -389, -482?
t**2 - 102*t + 3
What is the b'th term of 17, 15, 17, 23, 33?
2*b**2 - 8*b + 23
What is the t'th term of 32, 37, 54, 89, 148, 237, 362, 529?
t**3 - 2*t + 33
What is the g'th term of 27, 64, 117, 192, 295, 432, 609, 832?
g**3 + 2*g**2 + 24*g
What is the f'th term of -48, -52, -56, -60, -64?
-4*f - 44
What is the k'th term of -7506, -7518, -7518, -7500, -7458, -7386, -7278, -7128?
k**3 - 19*k - 7488
What is the a'th term of -1212, -2423, -3634?
-1211*a - 1
What is the x'th term of 21, 48, 83, 120, 153?
-x**3 + 10*x**2 + 4*x + 8
What is the b'th term of 1143, 2280, 3419, 4560, 5703?
b**2 + 1134*b + 8
What is the k'th term of 1147, 2317, 3499, 4699, 5923, 7177, 8467?
k**3 + 1163*k - 17
What is the i'th term of -10, -25, -48, -79?
-4*i**2 - 3*i - 3
What is the n'th term of 26, 28, 28, 26?
-n**2 + 5*n + 22
What is the h'th term of 4257, 4247, 4239, 4233, 4229, 4227, 4227?
h**2 - 13*h + 4269
What is the c'th term of -35, -43, -65, -107, -175, -275?
-c**3 - c**2 + 2*c - 35
What is the u'th term of 207, 414, 621, 828?
207*u
What is the u'th term of 40, 63, 86, 109?
23*u + 17
What is the w'th term of -19, -34, -53, -76, -103, -134, -169?
-2*w**2 - 9*w - 8
What is the a'th term of -4, -15, -26, -37, -48, -59?
-11*a + 7
What is the r'th term of 222, 139, 56, -27, -110?
-83*r + 305
What is the q'th term of -3, -17, -41, -75, -119?
-5*q**2 + q + 1
What is the x'th term of 48, 54, 60, 66?
6*x + 42
What is the x'th term of -5, -47, -135, -293, -545?
-4*x**3 + x**2 - 17*x + 15
What is the t'th term of 66, 113, 194, 315, 482?
t**3 + 11*t**2 + 7*t + 47
What is the x'th term of 117, 238, 361, 486?
x**2 + 118*x - 2
What is the i'th term of 100, 106, 116, 130, 148?
2*i**2 + 98
What is the f'th term of -41, -90, -127, -146, -141, -106, -35, 78?
f**3 - 56*f + 14
What is the k'th term of -1580, -1591, -1604, -1619, -1636, -1655?
-k**2 - 8*k - 1571
What is the a'th term of -11952, -11953, -11954, -11955?
-a - 11951
What is the o'th term of -1, 61, 127, 197, 271?
2*o**2 + 56*o - 59
What is the q'th term of 347, 1404, 3165, 5630?
352*q**2 + q - 6
What is the u'th term of -58, -63, -70, -79, -90?
-u**2 - 2*u - 55
What is the n'th term of -102, -88, -64, -30?
5*n**2 - n - 106
What is the b'th term of 136, 1000, 3340, 7894, 15400?
123*b**3 + 3*b + 10
What is the s'th term of -2098, -2099, -2100, -2101, -2102, -2103?
-s - 2097
What is the o'th term of 153, 233, 317, 405, 497?
2*o**2 + 74*o + 77
What is the l'th term of 96, 198, 300, 402?
102*l - 6
What is the r'th term of -15, -103, -309, -681, -1267, -2115, -3273?
-8*r**3 - 11*r**2 + r + 3
What is the h'th term of -4108, -16399, -36878, -65539, -102376, -147383?
h**3 - 4100*h**2 + 2*h - 11
What is the o'th term of 38, 42, 46, 50, 54?
4*o + 34
What is the p'th term of 132, 123, 120, 129, 156, 207, 288?
p**3 - 3*p**2 - 7*p + 141
What is the i'th term of 29, 163, 513, 1187, 2293, 3939?
18*i**3 + 8*i + 3
What is the h'th term of -2, -24, -76, -170, -318, -532, -824?
-2*h**3 - 3*h**2 + h + 2
What is the k'th term of -21, -47, -89, -153, -245, -371, -537?
-k**3 - 2*k**2 - 13*k - 5
What is the y'th term of 758, 747, 722, 677, 606?
-y**3 - y**2 - y + 761
What is the z'th term of -13, -2, 11, 26, 43?
z**2 + 8*z - 22
What is the b'th term of 674, 675, 676, 677, 678?
b + 673
What is the q'th term of -2577, -2579, -2581, -2583, -2585?
-2*q - 2575
What is the k'th term of 5, 88, 227, 422, 673, 980, 1343?
28*k**2 - k - 22
What is the p'th term of 611, 589, 555, 503, 427, 321?
-p**3 - 15*p + 627
What is the o'th term of -265, -1279, -2975, -5359, -8437, -12215?
-o**3 - 335*o**2 - 2*o + 73
What is the o'th term of 4, 3, 2, 1?
-o + 5
What is the a'th term of 428, 1708, 3840, 6824, 10660?
426*a**2 + 2*a
What is the j'th term of 37456, 74911, 112366?
37455*j + 1
What is the j'th term of 6, 22, 70, 168, 334, 586, 942?
3*j**3 - 2*j**2 + j + 4
What is the u'th term of 2312, 2313, 2316, 2321, 2328?
u**2 - 2*u + 2313
What is the g'th term of 756, 756, 760, 768, 780, 796?
2*g**2 - 6*g + 760
What is the y'th term of 58, 117, 176, 235, 294, 353?
59*y - 1
What is the i'th term of -664, -666, -668?
-2*i - 662
What is the n'th term of -142, -99, -26, 77, 210, 373, 566?
15*n**2 - 2*n - 155
What is the u'th term of 14, 37, 72, 125, 202, 309, 452?
u**3 + 16*u - 3
What is the q'th term of -43, -89, -135?
-46*q + 3
What is the x'th term of -56, -113, -170, -227, -284?
-57*x + 1
What is the p'th term of -510, -974, -1438, -1902?
-464*p - 46
What is the c'th term of -16, -102, -260, -502, -840?
-2*c**3 - 24*c**2 + 10
What is the g'th term of -11, 5, 25, 49, 77, 109, 145?
2*g**2 + 10*g - 23
What is the s'th term of 109, 75, 39, 1, -39, -81?
-s**2 - 31*s + 141
What is the l'th term of -212, -265, -368, -527, -748, -1037, - | {
"pile_set_name": "DM Mathematics"
} |
40)*(-147)/(-4)*(-20)/(-204)
14/17
(3/(30/(-28)))/((-29655)/(-741375))
-70
Evaluate ((-21)/560)/((-1464)/(-1220)).
-1/32
What is ((-20)/300)/((18/30)/(9/10))?
-1/10
What is (((-122337)/1932)/197)/(((-40)/(-500))/((-7)/(-15)))?
-15/8
Evaluate 24/(-120)*(-1980)/(-27)*30/(-8).
55
Evaluate ((160/(-12))/10)/(1*(-410)/(-5)).
-2/123
Evaluate (3/192)/(182/4459*35/40).
7/16
Calculate 3/(-100)*2/(-3)*28*(-1)/7.
-2/25
What is (40035/(-30))/(-157)*-6?
-51
What is the value of (21058648/(-71466))/((-104)/6)?
17
Calculate (122/((-3416)/56))/(53*1/1).
-2/53
Calculate (-23)/(161/(-52))*(-44)/198*9/4.
-26/7
What is the value of (24/(-1260)*7)/(((-950)/(-684))/((-1)/(-6)))?
-2/125
What is (27328/686616)/((-4)/(-3))?
2/67
Calculate ((-12)/99)/(((-4960)/(-62))/(-1040)*13/3).
4/11
(9/20*(-108)/(10692/165))/(6/(-296))
37
Calculate (-49)/91*73/((-8176)/(-384)).
-24/13
((-1)/(-1)*116/290)/(198/132)
4/15
399/(-5)*(-7490)/(-10486)
-57
((-22)/(-132))/(62/(-10044))
-27
Calculate (-8*5/(-20))/(52/(-52)).
-2
What is the value of ((130/(-195))/(6/6)*9/(-5))/(-16)?
-3/40
What is the value of ((-208)/2912)/(9/18)?
-1/7
What is the value of ((-49680)/104328)/(4*2/(-14))?
5/6
Evaluate ((-132)/(-33))/(2030/(-35)*(1/3)/(-1)).
6/29
What is the value of ((-7)/(-2660)*19)/(3/25*220/(-198))?
-3/8
Calculate (220/52)/(8*5/520).
55
What is 4/3*(-11*4680/(-3300))/((-2)/10)?
-104
What is the value of ((2404/(-6010))/((7/(-20))/1))/(30/63)?
12/5
What is (8*(-24)/160)/(272/320*16)?
-3/34
What is 68/(11/(319/58))?
34
What is the value of (3952/(-624)*12/4)/((-4)/4)?
19
(6675/30)/(-89)*(-7)/(-7)*(-136)/90
34/9
What is the value of (-3*(-276)/2277*(-11)/18)/(1780/90)?
-1/89
Evaluate (-324)/(-1584)*(-77)/42.
-3/8
What is 6/8*37840/25542?
10/9
((-2)/8)/((-2)/(-7)*7*(-120)/(-6720))
-7
What is the value of 9792/(-3644256)*(-87)/9?
2/77
192/(-1920)*(-1860)/(-527)
-6/17
Evaluate (-1917)/(-63)*399/171.
71
54/((-3)/(-3))*(-11)/132*114/19
-27
((-40480)/(-34155))/(2/36)
64/3
What is the value of (1/10)/((-7)/70)?
-1
What is the value of ((-67992)/(-175646))/(2/(-31))?
-6
What is (-6566)/670*(-6)/(-18)*-15?
49
What is 1/(3/4*-8*(-4)/(-1008))?
-42
What is the value of 20/30*10*13*6*15/(-120)?
-65
What is (-5)/((-15)/2)*(-150)/60*87/(-5)?
29
Evaluate (5*(-17)/680*(-160)/(-16))/(2/3).
-15/8
(((-9200)/350)/(-46))/32
1/56
Calculate (-3*2*(-491)/1964)/(-1*(-6)/33).
33/4
Calculate (8/4)/(69*(-4)/(-5658)).
41
Calculate (-324)/270*(-5)/270*10.
2/9
Evaluate (-10*10/(-22500))/((-125)/(-50)*1/15).
2/75
Evaluate ((-80)/5)/(936/90*20/8).
-8/13
217/(29283282/324)*-51
-6/49
What is 7928/(-21802)*2*1353/(-12)?
82
Evaluate 7*(26/312)/(28/48).
1
What is the value of ((-24)/(-1056)*-77)/(-8*(-2)/832)?
-91
(-2)/7*38*(-567)/16416
3/8
What is (((-654)/2725)/(4/6))/((-8)/(80/(-3)))?
-6/5
What is 3/((198/(-330))/((-14)/5))?
14
Calculate ((62/(-930))/((-10)/(-360)))/(-2).
6/5
Evaluate (-6)/(-80)*148/(-37518)*-169.
1/20
Calculate ((-18)/105)/((-249)/(-581))*80/(-2).
16
What is ((-1410)/(-846))/((-10)/(-186))?
31
Evaluate (1*(-16)/18)/(1650/((-193600)/(-352))).
-8/27
Evaluate ((-36)/18)/((-11)/((-429)/104)).
-3/4
What is the value of ((21/98)/1)/((-2)/7)*(-2052)/(-513)?
-3
What is (-44)/6*(5253/17510)/((-18)/10)?
11/9
((-488)/(-5490))/((8932/210)/29)
2/33
Calculate 18/(-2)*(-138)/4769280*120.
1/32
What is the value of ((-8)/10)/((2/10)/((-283)/(875602/364)))?
8/17
Calculate 13/(-20)*256/(-832)*(-5)/(-127).
1/127
Evaluate ((-404)/(-2020))/(4/230)*-4.
-46
Calculate (1/(-15)*4)/(((-3)/12)/(910/120848)).
2/249
What is (-225)/(-360)*(-78)/15*3276/91?
-117
What is (179004/242934)/(-3*(-4)/1254)?
77
Evaluate (-303347)/(-35098)*(-28)/2.
-121
Evaluate (-2)/(53/((-53424)/63)).
32
Evaluate ((-28405)/(-11960))/((-2)/4).
-19/4
Calculate ((-18054)/3717)/(17/(-14))*-6*(-17)/(-4).
-102
(-2)/(-10)*7*(-5340)/60342*339
-42
What is (-1376)/(-8)*(48/104*104/64)/(-3)?
-43
Calculate (763/98)/(1130/(-15820)).
-109
Calculate (3/(-5))/(2145/(-3575)).
1
Calculate (((-6)/(-3))/(-1))/(((-4280)/1284)/(40/(-6))).
-4
What is (7/(-105)*-12*4/(-36))/((-1)/(-10))?
-8/9
(6843/164232)/((-3)/(-4))
1/18
Evaluate ((-3)/30*(-270)/27)/(2/42).
21
((-47)/2)/(53/(-2438)*23)
47
What is -4*(166/(-3735))/(12/15)*1/(-2)?
-1/9
What is the value of (20/(-48))/(3950/(-1422))?
3/20
72085/(-28834)*(-6)/(-7)
-15/7
Calculate ((-23)/((-2530)/60))/(164/6314).
21
What is the value of (94*(-37)/(-8695))/(66/(-220)*2264/(-6))?
1/283
2*(5/((-50)/70))/(-259)*-1
-2/37
What is the value of (-20)/48*(-27)/15*144*25/(-50)?
-54
1/5*40/(-84)*(-16)/((-896)/42)
-1/14
What is the value of ((-24)/(-120))/(15/6375)?
85
(-242)/(-242)*(-8)/128*-8*(-3)/(-9)
1/6
What is ((-20)/90)/(48/72)?
-1/3
Calculate ((395/948)/((-10)/44)*9)/((-9)/(-6)).
-11
Calculate ((8/132)/(-5*(-72)/1320))/(2/(-12)).
-4/3
What is 48/2376*-11*90?
-20
Evaluate 45/((-1485)/(-1848))*80/(-280).
-16
Calculate ((-5)/((-15)/(-9)))/((-21)/(-40404)*111).
-52
(((-4224)/220)/(-12))/(((-4)/(-20))/((-2)/2))
-8
Calculate ((-1196)/(-1638))/((-243)/2187).
-46/7
What is the value of ((2*6/(-48))/(645/1720))/((-20)/48)?
8/5
What is 1/2*((-672)/(-1008))/(1/(-129))?
-43
Evaluate ((-19)/(-1330)*40)/(10/((-1120)/(-12))).
16/3
Evaluate ((-53)/(7420/(-630)))/(((-2415)/20)/7).
-6/23
Evaluate (498/21)/2*(-28)/(-1240)*-31*-10.
83
Calculate (-27)/5103*-45*-1.
-5/21
Evaluate (2/3)/((-182)/273)*(-341)/(-31).
-11
What is (84444/(-91481))/(7/((-2366)/4))?
78
Calculate (150*(-56)/(-22400))/((-27)/(-20)).
5/18
What is 165/(4*(-429)/(-624))?
60
Evaluate (81/2187)/(((-1)/(-297))/1).
11
What is ((-9)/3)/(1688/(-1477))?
21/8
What is the value of ((-3)/4)/(9/(-42)*(-357)/(-18))?
3/17
What is ((-940)/752)/((-40)/(-12)*-1)?
3/8
What is 225/(-6)*(-24)/15*4914/2730?
108
What is 6/(-2)*((-3059)/(-1596))/((-3)/(-12))?
-23
What is the value of 14/(((-12160)/360)/152)?
-63
What is 11220/44*((-8)/(-30))/(35/(420/8))?
102
What is ((-414)/(-233772)*77)/(6/40)?
10/11
What is ((3/(-7))/((-690)/1932))/(42/(-40))?
-8/7
What is (-48224)/1096*(-20)/(-16)?
-55
234/42*(-3192)/456
-39
What is ((-11)/((-55)/(-45)))/(189126/(-532))?
2/79
Calculate (6/(-96))/((-215)/151360).
44
Calculate (-674649)/(-58303)*((-2)/3)/(-2).
27/7
(3*(-2)/((-12)/3))/((-66099)/8012)
-2/11
What is 54*-59*(-84)/(-4956)?
-54
What is the value of ((4620/2552)/105)/((-2)/(-16))?
4/29
((-1355)/(-9485))/((-1)/357)
-51
What is ((-98)/(-2))/(-1)*((-1240)/(-11935))/(12/33)?
-14
12/(-414)*96/(-80)*(-10)/(-4)
2/23
Evaluate ((-2079)/1848)/(1/((-70)/45)).
7/4
What is ((-7)/(-4))/(456/(-10944))?
-42
What is the value of (8/(16/(-9)))/(-55*69/(-460))?
-6/11
What is ((-8)/(-22))/((-79)/((-948948)/(-504)))?
-26/3
((249018/(-385))/77)/(-3*(-1)/(-20))
56
What is ((9/(-8))/(5/4))/(22/(-2420)*-66)?
-3/2
Evaluate ((-45)/675)/(16/60).
-1/4
Calculate (14063/88396)/(189/198).
1/6
What is (-5)/(10/8)*-44*82/902?
16
Calculate (-260)/(-650)*(-2180)/(-654)*(-2)/(-192).
1/72
What is (-248)/(-992)*(-1)/5?
-1/20
(25/(-3))/(10965/(-32508)*42)
10/17
What is the value of (-4)/2*(-2925)/2550*17?
39
What is 86792/9136*(-168)/19?
-84
(-224)/60*(-3285)/4380
14/5
What is ((-9)/5)/(3/(-5))*-5*20/150?
-2
Calculate (3612/10535*(-14)/9)/((-36)/510).
68/9
Evaluate 1274/1456*(-8)/28*(-4)/(-11).
-1/11
(71/(18886/76))/((-432)/42)
-1/36
What is the value of (5778/(-1712))/(3/(96/(-4)))?
27
(-82)/((-101598)/295)*36/(-10)
-6/7
What is (((-12)/(-8))/(567/126))/((-4)/(-372))?
31
Calculate (10/21)/((-430)/(-11352)*-22).
-4/7
Calculate (24310/(-17875))/(1*9/(-675)).
102
What is the value of 187/153*5/(-30)*27*-10?
55
(((-154)/21)/(-22))/(3/(1080/8))
15
What is the value of (113/(-4))/((-1954)/7816)?
113
Evaluate (99/(-19))/(-3)*2145/(-23595).
-3/19
What is the value of (70/245*-21)/(2/((-128)/6))?
64
What is the value of (-105)/(-315)*-8*(-10)/(-4)*96/(-80)?
8
Evaluate (-295)/((-3835)/26)*22/(-40).
-11/10
Calculate ((-4)/(-18))/(((-924)/(-105))/((-900)/(-125))).
2/11
((5520/(-280))/69)/(((-3)/(-2))/(48/32))
-2/7
(6/10*440/(-132))/14*-23
23/7
Evaluate 1*-9*159/(-106)*(1040/(-18))/(-10).
78
What is the value of 3/(((-16)/4)/((-336)/(-36)))?
-7
Calculate 53/((-15847)/1518)*(-91)/14.
33
Calculate (441/105)/((-48)/112*(-1)/5).
49
Calculate (29*37/5365)/(-2).
-1/10
(-99120)/2240*4/12
-59/4
What is the value of ((-7)/1*(-196)/3430)/(1/40)?
16
((-1144)/(-156))/((708/413)/((-4 | {
"pile_set_name": "DM Mathematics"
} |
.55 + 13227. Let b = g - 561. Let i = 12.1 + b. What is i rounded to the nearest integer?
-3
Let h(v) = -2466*v - 76. Let s be h(8). Let c be 0 - s/18 - (-28)/(-126). What is c rounded to the nearest one hundred?
1100
Let q = -0.014 - 353.986. Let y = -353.99354 - q. What is y rounded to three dps?
0.006
Let o = 11142.9995702 - 11143. What is o rounded to 5 dps?
-0.00043
Let p = -3509842364 - -1489926100. Let s = -2019916178.99999935 - p. Let q = s + -85. What is q rounded to seven dps?
0.0000007
Let t = -2302.566 - -2305. Let p = 0.1378 - 2.5378. Let o = p + t. What is o rounded to two dps?
0.03
Let q = -40933237746.676546863 - -40933237717. Let l = q + -1.323453707. Let p = 31 + l. Round p to 7 decimal places.
-0.0000006
Let c = -37.029 - -36.905108. Let z = c + 0.1262. Round z to four decimal places.
0.0023
Let w(b) = 54195*b**2 - 168*b - 1028. Let a be w(-6). Round a to the nearest one hundred thousand.
2000000
Let d = -15 - -17. Let b be 14800007 + (-4)/(-8)*d. Suppose -2*c = -4*h + b, 0*h = -2*h + 4. Round c to the nearest 1000000.
-7000000
Suppose -393*g = -398*g + 20. Suppose -3*a + 3 = 0, g*s + a = -2*a - 12717. What is s rounded to the nearest 100?
-3200
Let b = 553476 + -1135976. Round b to the nearest 10000.
-580000
Let n = -3354 + 1982. Let x = -1372.004004 - n. Round x to four decimal places.
-0.004
Let z = 10966 - 3367. Round z to the nearest 100.
7600
Let y = 0.003187 - -0.266023. Round y to three dps.
0.269
Suppose -474248 = -5*b - 3*n, -b + n + 94847 = -n. Let m be (2/3)/(8/802188). Let x = b - m. Round x to the nearest one thousand.
28000
Let t(h) = -h**2 - 30*h - 27. Let y be t(-29). Suppose 5545023 = y*v - 5052471. Let j = 10298747 - v. What is j rounded to the nearest 100000?
5000000
Let v be 2/4*(3 + -1)*-2. Let w be (-704)/(-13) - v/(-13). Let m be (-9)/w + (-66600001)/(-6). Round m to the nearest 1000000.
11000000
Suppose 0*c + 3*c = 9. Suppose -5*p - c*d + 7*d - 3830 = 0, d = -4*p - 3043. Round p to the nearest one hundred.
-800
Let b = 46.934 + 0.066. Let s = b + -49.88. Let d = s + 2.87294. What is d rounded to three decimal places?
-0.007
Suppose 2148*t = 2129*t + 1164130. Round t to the nearest 1000.
61000
Let q = 43558 + 43682. What is q rounded to the nearest 1000?
87000
Let f = 27.8202 + 0.0848. Let x = 32.949 - 4.949. Let m = x - f. What is m rounded to 2 dps?
0.1
Let b = 43.614 - -2.801. Round b to one dp.
46.4
Let m = -11178.0333 + 11177. Round m to 1 dp.
-1
Let r = -0.5754 - -0.578. Round r to 3 decimal places.
0.003
Let d = -57.45 + 57.75. Round d to zero dps.
0
Let m = -1.189 + 0.069. Let s = 4.38 - m. Let q = -5.4898 + s. Round q to 3 dps.
0.01
Let f = 302 - 62. Let z = -9262 - -9500.89. Let d = z - f. What is d rounded to 1 decimal place?
-1.1
Let o = -464 - -464.18. Let z = -1.12 - -1.415. Let a = z - o. Round a to two dps.
0.12
Let q be (-79)/3 + 6/(-9). Let z = 43 + q. Let b be z/(-64) - 168799998/8. What is b rounded to the nearest 1000000?
-21000000
Let a(q) = -q**3 - 5*q**2 - q + 8. Let l be a(-6). Suppose -l*t - 95933000 = -7*t. Round t to the nearest 100000.
-2200000
Let i = 7.6117 - -0.4072. Round i to the nearest integer.
8
Let a = -1438029187267.999999457 + 1438029185991. Let r = -1277 - a. Round r to 7 decimal places.
-0.0000005
Let t = 10182 - 25825. What is t rounded to the nearest one hundred?
-15600
Let x be (-34)/170 + 48796/5. Let y = x - -52241. Round y to the nearest ten thousand.
60000
Let f = 72.1 + -16.1. Let c = f + -55.99716. Round c to 3 decimal places.
0.003
Let p = -5423 + 5422.958811. Round p to three decimal places.
-0.041
Let y = -189796 - -189796.00212118. Round y to four dps.
0.0021
Let a = -1213.78142 - -0.08142. Let p = 1322 + a. What is p rounded to the nearest ten?
110
Suppose -5*m - 96455 = 5*c, -5*m + 7*c - 2*c - 96435 = 0. Round m to the nearest 1000.
-19000
Let p = 5125 - -58872. Suppose -19*c + 6*c = 13. Let l be 16 + -19 + p*c. Round l to the nearest 10000.
-60000
Let d = -1960623874 + 1156873874. What is d rounded to the nearest one million?
-804000000
Let i = 88.96 + -0.96. Let g = 108.5707945 + -20.5707601. Let c = i - g. What is c rounded to six decimal places?
-0.000034
Let o = 80.3616 + 8.3804. Let k = o - 89. Let u = k + 0.2741. What is u rounded to three dps?
0.016
Let l(z) = -z**3 - z**2 - 5*z - 9. Let q be l(-5). Suppose -2*g - q = -0*g. Let s = g - -34. Round s to the nearest 10.
-20
Let r = 14 - -21. Let c be (-10)/r - 65/(-7). Suppose -c*o + 14789388 = 426989388. Round o to the nearest 1000000.
-46000000
Suppose 37 = 4*t + 1. Let w(l) = 7*l**2 - 8*l - 12. Let b be w(t). Let m = b - 678. What is m rounded to the nearest ten?
-200
Let w(l) = -1055202*l**2 - 65*l - 592. Let r be w(-8). Round r to the nearest 100000.
-67500000
Let w = 12529.99981855 + -12530. What is w rounded to five dps?
-0.00018
Let m(a) = -197*a**2 + 24*a - 184. Suppose -4*g - 2*j + 32 = 0, 6*g - 11*g = 3*j - 40. Let y be m(g). Round y to the nearest 1000.
-13000
Let u(q) = q + 1. Let r = 69 - 66. Let g be u(r). Suppose h - 819996 = -4*h + 4*l, -3*h + 491996 = -g*l. What is h rounded to the nearest 10000?
160000
Let n = -2268.56 - -2220. Let h = n + 0.86. What is h rounded to the nearest 10?
-50
Let s = 6.2 - -2.78. Let i = s + -8.519. Let d = i - 2.851. What is d rounded to one decimal place?
-2.4
Let l = -329733 + 218063. What is l rounded to the nearest one thousand?
-112000
Suppose -3*i = 3*h + i - 6, -3*h - i = -6. Suppose h*v - 138798 = -y + 3*y, y + 69401 = -v. What is y rounded to the nearest 10000?
-70000
Suppose 2*l = -3*w - 163849, 0 = -70*l + 72*l - 5*w + 163825. Round l to the nearest 1000.
-82000
Let c = -741.3 - -741.300553. What is c rounded to 3 dps?
0.001
Let z = 16649.986993 + -16650. Round z to three decimal places.
-0.013
Let a = -5519 + 5518.999997414. Round a to 7 dps.
-0.0000026
Suppose 4*i = 25*i + 12222. Let t = i - -134. Round t to the nearest ten.
-450
Let o = -34.56 + 34.560004564. What is o rounded to 6 dps?
0.000005
Let m(f) = -124*f - 48. Let l be m(14). Let z be l*(2501 + 2 + (-6)/2). What is z rounded to the nearest 1000000?
-4000000
Let p = 876464255 + -876464107.0000652. Let x = p + -148. What is x rounded to 5 decimal places?
-0.00007
Let m = 53529848.999989 - 53529807. Let t = -0.7 + 42.7. Let i = t - m. What is i rounded to 5 decimal places?
0.00001
Let o(m) be the first derivative of -13*m**4/4 - 2*m**3/3 + m**2 + 3*m - 16. Let f be o(-1). Suppose 2*b + f = 20. Round b to the nearest 10.
0
Let x = 2095.0292 + -0.0292. Let n = x + -2104.17. What is n rounded to the nearest integer?
-9
Let v = -53.46 - 62.99. Round v to zero decimal places.
-116
Let b = 108 - 107.884. Let t = b + -0.194. Round t to 2 dps.
-0.08
Let v = 348 + -346.724. Let g = v + -115.876. What is g rounded to the nearest ten?
-110
Let n be (706/(-4) + (-24 - -28))*30/(-9). Round n to the nearest one thousand.
1000
Let b = -36.4949 - -402.4652. Let w = -366 + b. What is w rounded to two decimal places?
-0.03
Let a(o) = -11*o - 283. Let n be a(-26). Suppose -n*t = 5371 - 1540. What is t rounded to the nearest 100?
-1300
Let h = -13702308.418483 + 13702401.4. Let c = -367.021293 - h. Let z = -460 - c. Round z to 4 decimal places.
0.0028
Let p = 30135 - 30134.989892. What is p rounded to 3 dps?
0.01
Let s = -321.50949 + 0.05949. What is s rounded to zero dps?
-321
Let j = 44121 - 44121.00045954. Round j to 4 dps.
-0.0005
Let j = -31.49 - -31.489998766. Round j to seven dps.
-0.0000012
Let m = 58.24 - 58. Let t = m - 1.91. Let y = 1.6633 + t. Round y to three decimal places.
-0.007
Let i = -3261.600015097 + 3261.6. Round i to six dps.
-0.000015
Let l = 2627.7373602 + -0.1383602. Let u = -2631 + l. What is u rounded to 1 decimal place?
-3.4
Let c = -78 - -82. Let x(d) = 5441*d**2 + 0 - 6 + 0 - c*d + 1. Let z be x(5). What is z rounded to the nearest ten thousand?
140000
Let s = 0.054 - 6.054. Let w = -31.8 - s. Let r = w - -25.8157. Round r to 3 dps.
0.016
Let k = -30589.2312561 - -30576.0313. Let p = k + 13.2. What is p rounded to 6 dps?
0.000044
Let n = -2719.8 + 2719.68443. What is n rounded to two dps?
-0.12
Let f = 8.89 + -8.9361. Let u = 4.7061 + f. What is u rounded to one dp?
4.7
Let a = -5548 + 5547.96459. Let v = -1.036 + 1. Let q = v - a. Round q to four dps.
-0.0006 | {
"pile_set_name": "DM Mathematics"
} |
*3 + j*q**4 and give s.
-5
Rearrange v**4 + v**4 - 4 + 6 + 2*v - 4*v**2 to u + j*v + t*v**3 + p*v**4 + f*v**2 and give f.
-4
Express (-4*g + 4*g - 2*g)*(2*g + 25 + 2 + 3)*(-1 + 1 + 2*g**2) as y + f*g**4 + o*g + s*g**2 + u*g**3 and give u.
-120
Rearrange 2 + 2*z**2 - 2 - 5*z**2 + 0*z**2 + 3*z**2 + (3 + 3 - 4)*(3*z - 3*z + 3*z**2) - 3*z**2 + 5*z**2 + 0*z**2 to the form h + x*z + w*z**2 and give w.
8
Express -18 - 14 + 5*c**4 - 8 + 41 - c as z*c**2 + d*c + j*c**3 + a*c**4 + s and give s.
1
Express 3*y**2 + 0*y**2 - 3*y**2 + y + 3*y**3 + 2 in the form c + l*y**2 + s*y**3 + n*y and give s.
3
Express -12*k + 6*k + 7*k + k**4 - 2*k**3 in the form n + j*k**2 + z*k**4 + x*k**3 + w*k and give w.
1
Express -3 + 10 + 14 + t + 11 in the form j*t + h and give j.
1
Rearrange (-j + 3*j - j)*(-j + 2*j - 2*j + 3*j**3) to i*j**2 + z*j**4 + m*j**3 + x + q*j and give i.
-1
Rearrange (-3*n + 2*n + 2*n)*(35 + 146 + 53 - 72) to the form q*n + v and give q.
162
Rearrange (2 + 5*l + 0 - 3*l)*(4*l + 0*l - 10*l) + (4*l - l - l)*(-6 - l + 6) to i*l**2 + g + x*l and give i.
-14
Rearrange -r**2 + 7*r**2 + 5*r - 3*r + 0*r to the form u + t*r + c*r**2 and give t.
2
Rearrange (2*i**3 - 3*i**2 + 3*i**2)*(-2 - 4 + 4) - i + 5*i - 1 - 2*i - 4*i**3 to the form w + c*i + f*i**3 + o*i**2 and give f.
-8
Rearrange -3*u**3 + 0*u**3 + u**3 + (-3 + 1 + 3)*(-2 - u**3 + 2) - 3*u**3 - u**3 - u**3 to r + s*u**3 + j*u**2 + i*u and give s.
-8
Express -6*m + 6*m - 2*m**2 - m - m + 1 in the form g*m + k*m**2 + x and give g.
-2
Express -4 + 6 - 1 + 6*p**3 - p**3 in the form r*p**2 + t*p**3 + u + q*p and give r.
0
Rearrange -i - 2*i**4 + i + (4*i + 5 - 5)*(-2*i**3 + 2*i**3 + i**3) to the form u + m*i**3 + o*i**2 + y*i**4 + q*i and give y.
2
Rearrange -158*w + 310*w - 157*w + 3 to q*w + z and give q.
-5
Rearrange (-2*d**2 + d + d + 0*d**2)*(-57 + 108 + 81) to the form t*d**2 + h + f*d and give t.
-264
Express (0*n - n - 16*n)*(-4*n**2 + 2*n**2 + n**2) in the form v*n + j + b*n**2 + c*n**3 and give c.
17
Express (-o - 3 + 3 + (-1 - o + 1)*(-1 - 4 + 3) + 5 - 5 - 2*o - 22*o - 4*o + 2*o)*(4*o**2 - 3*o**2 - 2*o**2) as u*o + i + h*o**2 + j*o**3 and give j.
25
Rearrange (25*m + 49*m - 49*m)*(1 - 2 + 3) to g + f*m and give f.
50
Rearrange (1 + 1 - 6)*(3 - 3 + 2*s**3) + (s - s**2 - s)*(-6*s + 2*s + s) to the form j*s**3 + i*s**2 + f*s + t and give j.
-5
Express (-2 + 5 - 2)*(3 - w - 3)*(18*w**2 + 11*w**2 - 2*w**2) as c*w**3 + v + h*w + r*w**2 and give c.
-27
Express (2*b - 2*b + 2*b)*(1 - 11 + 8)*(1 + 2 - 5) as d + z*b and give z.
8
Rearrange 175*i**2 - 50*i**2 - 6*i**2 to the form n*i**2 + m + l*i and give n.
119
Express 4*n**3 - 7*n**3 + 2*n**3 + n - 7*n**4 - 3 in the form q*n + t + c*n**4 + k*n**2 + m*n**3 and give t.
-3
Express -3*d + 7*d - 1 - 5*d + 23*d as b*d + n and give b.
22
Express (-13 + s + 6 - 18)*(-5*s + 0*s + 2*s) as w + j*s**2 + n*s and give j.
-3
Express 6*k**3 - 4*k**3 + 7*k**3 + (4*k + k - 2*k)*(20 - 22 - 2*k**2 + 3*k**2) in the form u*k + m*k**2 + d + s*k**3 and give s.
12
Express (2 + 3*t - 2*t + 1)*(-t + 2*t**3 + t) as w*t**2 + y*t + c + v*t**4 + j*t**3 and give j.
6
Rearrange 24*t - 9 + 28 - 21 + 2*t - 2*t + 2*t + (4 - 2 - 4)*(0 + 0 + 2*t) to m*t + z and give z.
-2
Express -7*p**2 + 2*p**2 - 3*p**2 + p**2 - 3*p**2 + p**2 + (p + 0 + 0)*(0*p + 0*p - p) as m*p + n*p**2 + c and give n.
-10
Express (3*s + 2*s**3 - 3*s)*(-14 + 11 + 10) as m + y*s**3 + v*s**2 + f*s and give y.
14
Express -j**2 - 5*j - 27 - 26 + 51 in the form w*j + d*j**2 + q and give q.
-2
Rearrange (4*g + 2*g - 3*g)*(-6183 + 105*g + 6183) to x*g**2 + y*g + v and give x.
315
Rearrange -29 - 3*f**3 + 27 - 5*f**3 to n + m*f**3 + y*f + c*f**2 and give m.
-8
Rearrange 4*h**4 - h - 5*h**4 + 0*h**2 + 5*h + 2*h**2 - 2 to the form f*h**3 + w*h**4 + p + v*h + o*h**2 and give v.
4
Express -1 - 17*d + 6 - 5 in the form w*d + x and give w.
-17
Express -2 - 2*k**2 - k**3 + 2*k - 3 + 6 as x + m*k**2 + l*k**3 + z*k and give l.
-1
Rearrange 0*m**3 + 4*m**3 - 2*m**3 + (4*m**3 - 6*m**3 + 4*m**3)*(-3 - 3 - 1) to n*m**2 + h*m**3 + w + r*m and give h.
-12
Rearrange (-9*b - 2*b + 6*b)*(6*b + 36 + 7*b - 36) to the form y*b**2 + i + l*b and give y.
-65
Express -36*p + 3*p**2 + 2 - 6*p**2 + 31*p - 3*p**2 in the form x*p + n + q*p**2 and give x.
-5
Express (-2*b**2 + 0*b**2 + 0*b**2)*(4 - 5 + 3) + (1 + 1 + 1)*(b**2 - b + b) in the form q*b**2 + v*b + u and give q.
-1
Rearrange -7*q**3 + 2*q**2 + 0*q**2 - 4*q**2 + 5*q**2 to y + l*q**3 + n*q**2 + s*q and give n.
3
Rearrange 2*d - 2*d - 2*d**2 + ((-5*d + 0*d - d)*(2 - 1 + 0) + 2*d - 4*d + 0*d)*(0 + d + 0) to v*d**2 + z*d + y and give v.
-10
Express (1 - 3 + 6)*(-7 + 7 - 3*n) + n - 5 + 5 as u + t*n and give t.
-11
Rearrange 0 + 4 - l**2 - 5*l**2 - 2 to the form s + o*l**2 + n*l and give o.
-6
Rearrange -97*v**2 + 178*v**2 - 17*v**2 to the form g + m*v**2 + b*v and give b.
0
Rearrange -17*p - 22*p + 34*p + 3*p**2 - 2*p**2 to s*p + i*p**2 + j and give i.
1
Rearrange -4*u**2 + 2*u - 1 + 2*u**2 + u + 2*u**4 to n*u**3 + v*u**4 + r*u + k + t*u**2 and give r.
3
Express 3 - 3 + l - 6*l in the form w*l + z and give w.
-5
Rearrange (61*v**3 + 5*v**3 - 12*v**3)*(-2*v + 4*v + v) to l*v**2 + y*v**3 + n + w*v + k*v**4 and give k.
162
Rearrange 5*c**2 - c**2 - 6*c**2 - 21*c + c**2 to h*c**2 + d + x*c and give x.
-21
Express 12*s + 4*s - 5*s as g*s + y and give g.
11
Express ((1 - 1 - 2)*(2 - 3 + 2) - 9 + 40 + 25)*(3*z + 0*z - z) + 4*z - 2*z - z as v*z + l and give v.
109
Rearrange (4*y + 2*y - 4*y)*(-5 - 4 - 2)*(-5 + 1 + 2) to the form s + p*y and give p.
44
Express -2*i - 69 + 69 - i**3 - 2*i**4 in the form t + y*i**4 + g*i**3 + k*i + w*i**2 and give t.
0
Rearrange 47 + 50 - 183*b - 97 to o + y*b and give y.
-183
Express 3*x**3 - 5*x**3 + 2*x**2 + 2 - 4*x**3 - 8*x**3 as t*x**3 + p*x + l*x**2 + j and give j.
2
Rearrange -4*a**4 + 4*a**4 - 3*a**4 + (-a**4 - 5*a**3 + 5*a**3)*(-6 + 2 + 2) + 6*a**4 - 17*a**3 + 17*a**3 to i + r*a**3 + z*a + m*a**2 + f*a**4 and give f.
5
Rearrange 2*q + 0*q**2 - 4*q - 4*q**2 + q**2 to r*q**2 + w*q + k and give r.
-3
Rearrange (-3*a**2 - 3*a**2 + 3*a + 8*a**2)*(-9*a + 5*a - 3*a) to the form n + j*a**3 + x*a**2 + h*a and give x.
-21
Express (5 - 5 - 5)*(5*u - 5*u**3 - 5*u) as f + b*u + k*u**3 + m*u**2 and give k.
25
Express ((4 - 5 + 3)*(2*k + 0*k - 3*k) - 3*k + 5*k - 3*k)*(-3 + 3 - k)*(13 + 15 + 0) as d + h*k**2 + u*k and give h.
84
Rearrange (k**2 - k**2 + k**3)*(k + 2*k - 2*k) - 71*k**4 - 59*k**4 + 97*k**4 to s*k**4 + l*k**2 + j + a*k**3 + g*k and give s.
-32
Rearrange (-3*u - 3 + 3)*(-u + 3*u**2 + 2*u**2 - 3*u) to the form b + k*u**2 + y*u + s*u**3 and give k.
12
Express (-7*s - 53*s - 194*s)*(-3 + 1 + 3) in the form n + f*s and give f.
-254
Express 4 - u**4 + u**2 - 3 - u + 2*u**4 as n*u**4 + z + d*u**2 + f*u + t*u**3 and give z.
1
Rearrange 0*w - w + 3*w to q + l*w and give l.
2
Rearrange -15*f + 11 - 11 to the form k*f + a and give k.
-15
Rearrange -2*u**4 + 6*u**3 - 9*u**3 - 4*u**4 - u + 3*u**4 to m*u**4 + g*u**2 + p*u + l*u**3 + a and give l.
-3
Express (8 + 0 - 4)*(-f**4 - f**4 + 4*f**4) in the form u*f + a + l*f**2 + w*f**4 + b*f**3 and give w.
8
Rearrange (-u + 0*u + u**2 + 2*u**2)*(-21*u + 19*u**2 + 21*u + (2*u + 0 + 0)*(-2*u + u + 0*u)) to a*u**2 + c*u**4 + g*u**3 + y + m*u and give g.
-17
Rearrange -230*v + 211*v + 2*v**2 - v**2 to the form q*v**2 + k + w*v and give q.
1
Express 111*v + 1 - 136*v - 1 - 3*v**2 in the form c*v + d*v**2 + h and give d.
-3
Rearrange (-2 + 3 - 3 + 0 - 2 + 4 + (3 + 3 - 5)*(2 - 1 + 1))*(-188*y + 3*y**2 + 0*y**2 + 195*y) - 4*y**2 + 2*y**2 + 4*y**2 to b + q*y + m*y**2 and give m.
8
Rearrange 2*x**2 + 0 + 0 + (3*x**2 - 10*x**2 + x**2)*(0 - 1 + 0) - 3*x**2 + 2*x**2 + 2*x**2 to y + p*x**2 + m*x and give p.
9
Rearrange -n - n**2 + 3*n + 2*n + 2*n**4 - 2 - n**4 to the form u*n**2 + v*n + p + z*n**3 + j*n**4 and give j.
1
Rearrange -10*g - 53*g + 4*g to d + u*g and give u.
-59
Rearrange (56 + 11 - 8)*(-o + 4*o + 0*o) to the form p + m*o and give m.
177
Rearrange (2 + 1 - 1 + (-1 - 1 - 3)*(-2 - 1 + 1) - 9 + 3 - 3)*(-t - t + t) to k + s*t and give s.
-3
Rearrange (-9*u**2 - 5 + 5)*(-10*u**2 - 36*u + 36*u) to the form w*u**4 + s*u + n + g*u**2 + z*u**3 and give w.
90
Express (2*s - 14 + 2 - 15)*(-3 + 1 + 1) + 3*s + s - 6*s in the form w + z*s and give z.
-4 | {
"pile_set_name": "DM Mathematics"
} |
t(z) = 2*z. Let o(w) = -2*w. Let h(g) = -2*o(g) - 3*t(g). What is h(f(b))?
32*b
Let k(i) = -i**2. Let x(d) = -6562*d**2. Determine k(x(w)).
-43059844*w**4
Let d(a) = -2*a**2. Let z(b) be the first derivative of -1/12*b**4 - b + 0*b**3 - 4 + 0*b**2. Let x(p) be the first derivative of z(p). Calculate x(d(r)).
-4*r**4
Let j(h) = -h**2. Let l(k) = k. Suppose 2*s = -i, 4*s + 42 = 3*i + 2*i. Let o(r) = -5 + 5 - r. Let p(b) = i*l(b) + 5*o(b). Determine j(p(c)).
-c**2
Let m(p) = p**2. Let i(l) = 16*l + 2. Let f(n) = -81*n - 11. Let o(t) = 2*f(t) + 11*i(t). Calculate o(m(d)).
14*d**2
Let k(u) = -u. Let t = 34 + -14. Suppose p = -4*p + t. Let q(v) = -2*v + 9*v - p*v. Calculate q(k(x)).
-3*x
Let k(w) be the third derivative of 5*w**4/12 + 7*w**3/6 - 8*w**2. Let f(p) = -3*p - 2. Let s(j) = -14*f(j) - 4*k(j). Let m(c) = -3*c. Determine m(s(u)).
-6*u
Let p(j) = -46*j - 6. Let a(h) = -92*h - 13. Let r(g) = 6*a(g) - 13*p(g). Let n(q) = 2*q. Give r(n(s)).
92*s
Let g(p) = 3*p. Let q(o) = o**2 + 2*o. Let l(r) = -2*g(r) + 3*q(r). Let m(j) = 17*j. What is l(m(x))?
867*x**2
Let j(x) = 3*x. Let l(z) = -10*z**2 + 2*z**2 - 4*z**2. Give l(j(o)).
-108*o**2
Let b(d) = -4*d + 20. Let c(s) = -9*s. Calculate c(b(t)).
36*t - 180
Let c(k) = -11*k**2 + 4*k - 4. Let w(j) = -56*j**2 + 21*j - 21. Let u(z) = -21*c(z) + 4*w(z). Let v(a) = -3*a**2. Give u(v(r)).
63*r**4
Let z(w) = w. Let j(m) = -5*m + 2. Let h(r) = -84*r + 35. Let o(d) = 2*h(d) - 35*j(d). Determine o(z(a)).
7*a
Let q(m) = 2*m**2 + 7*m + 7. Let p(k) = k**2 + 3*k + 3. Let s(v) = 7*p(v) - 3*q(v). Let b be 5/2 - (-6)/(-12). Let j(z) = b*z - 4*z + z + 2*z. Give s(j(f)).
f**2
Let g(n) = -n**2. Let v(b) = -3524*b**2. Calculate v(g(q)).
-3524*q**4
Let a(j) = j. Let k = 11 - 10. Let f(w) = 8*w. Let g(h) = k*f(h) - a(h). Let r(v) = v**2. What is g(r(n))?
7*n**2
Let t(a) = -a**2. Let y(r) = -3*r - 37. What is t(y(i))?
-9*i**2 - 222*i - 1369
Let d(h) = h**2 + 37. Let m(a) = -2*a - 1. Let t(u) = -15*u - 7. Let q(x) = -14*m(x) + 2*t(x). Give d(q(s)).
4*s**2 + 37
Let p(t) = 16*t + 1. Let y(n) be the second derivative of -n**3/6 - 9*n. Calculate p(y(a)).
-16*a + 1
Let h(j) = -3*j + 2. Let s(q) = 7*q - 5. Let m(t) = 10*h(t) + 4*s(t). Let f(c) = 7*c. Give f(m(n)).
-14*n
Let n(m) = -7 + 5*m + 7. Let r be (2/(-3))/(2/(-6)). Let k(i) = -5*i + 2*i - i + r*i. Give n(k(p)).
-10*p
Let s(r) = r. Let y(v) be the third derivative of -31*v**5/30 + v**3/6 - 36*v**2. Determine y(s(n)).
-62*n**2 + 1
Let k(q) = 4*q - 3*q - q + q. Let w(o) = 2*o**2 - 17*o. Determine k(w(y)).
2*y**2 - 17*y
Let s(w) = w. Let v(y) be the first derivative of 0*y + 0*y**2 + 4 + 1/3*y**3. What is s(v(c))?
c**2
Let i(l) be the second derivative of l**4/6 + 8*l - 2. Let v(s) = -71*s**2. Determine i(v(r)).
10082*r**4
Let o(q) = -56*q**2 + q. Let p(a) = -7*a. Give p(o(u)).
392*u**2 - 7*u
Let x(f) = -13*f**2 - 9*f. Let a(n) = -3*n**2 - 2*n. Let y(r) = 18*a(r) - 4*x(r). Let u(q) = -13*q**2 - q. What is u(y(v))?
-52*v**4 + 2*v**2
Let n(z) = 10*z**2 + 5*z - 5. Let b(q) = 5*q**2 + 3*q - 3. Let x(f) = -5*b(f) + 3*n(f). Let u(k) = 2*k. Give x(u(g)).
20*g**2
Let w(d) = -2*d. Let s be -2 + 3 - (-2)/2. Let h(t) = t**s - t**2 + 2*t**2 - t**2. Calculate w(h(c)).
-2*c**2
Suppose 2*l + 2*l - 15 = -5*v, 0 = 4*v - 4*l - 12. Suppose 0 = 2*b - b + j - 5, -5*b = -3*j - 17. Let f(a) = -v*a + 4 - b. Let h(t) = 2*t**2. Calculate f(h(x)).
-6*x**2
Let a(q) = -q - 1. Let y(w) = 5*w + 3. Let r(s) = -3*a(s) - y(s). Let g(i) = -4*i - 8. Let c(x) = -3*x - 5. Let p(j) = 8*c(j) - 5*g(j). Calculate p(r(m)).
8*m
Let u(y) = -7*y**2 - 2*y**2 - 5*y**2 + 16*y**2. Let f(v) = 14*v - 2. Calculate f(u(m)).
28*m**2 - 2
Let o(r) = r. Suppose -w + 4*w = 9. Let i(f) = 4*f**2 + 3*f - w*f - 10*f**2. Give o(i(s)).
-6*s**2
Let b = -2 - -1. Let d be b*(-6)/(-15)*-5. Let q(v) = 3*v**2 - 4*v**d + 2*v**2. Let m(u) = u**2. Calculate m(q(o)).
o**4
Let h be ((-6)/(-2))/(3/2). Let v(f) = -5*f**2 + 2*f**h + f**2. Let w(l) = 2*l**2 - l**2 - 3*l**2 - 2*l**2. Calculate w(v(t)).
-16*t**4
Let d(w) = -4*w**2 + 3*w + 3. Let p(v) = 20*v**2 - 14*v - 14. Let l(n) = 28*d(n) + 6*p(n). Let x(a) = 3*a - 2*a + 4*a - 3*a. Give l(x(i)).
32*i**2
Let n(i) be the first derivative of 0*i**2 + 2/3*i**3 + 0*i - 2. Let l(u) = u**2 - 1. Let z(y) = 7*y**2 - 6. Let m(v) = 6*l(v) - z(v). Determine n(m(h)).
2*h**4
Let n(r) be the second derivative of -r**4/4 - 2*r. Let s(k) = k**2. Give s(n(m)).
9*m**4
Let p(k) = k. Let x(s) = -63*s**2 - 3 + 3 + 56*s**2. Determine x(p(y)).
-7*y**2
Let i(x) = 3*x**2. Let a(d) = -2*d**2 + 4*d. Calculate i(a(g)).
12*g**4 - 48*g**3 + 48*g**2
Let l(t) = 21*t**2. Let h(m) = -10*m**2 - 10*m**2 + 22*m**2. Calculate l(h(z)).
84*z**4
Let q(i) = 2*i**2 - 7. Let w(h) be the second derivative of -h**4/12 + 3*h**2/2 - 3*h. Let n(b) = 3*q(b) + 7*w(b). Let c(l) = -2*l. Determine c(n(a)).
2*a**2
Let h(c) be the second derivative of 5*c**4/6 + c**3/3 - 20*c. Let n(u) = -2*u**2. Calculate h(n(w)).
40*w**4 - 4*w**2
Let q(j) = j. Let u(d) = 42*d + 529 - 529. Give q(u(b)).
42*b
Let b(v) = -7*v. Let o(g) = -2*g - 8. Let z be o(-5). Let q(w) = 2*w**2 - 2*w**2 + z*w**2 + 0*w**2. What is b(q(h))?
-14*h**2
Let w(p) = -10*p. Let y(v) = -268*v**2. Determine w(y(c)).
2680*c**2
Let z(t) = 11*t. Let g(b) be the first derivative of b - 1 - b + 2 - b**2. Calculate z(g(r)).
-22*r
Let h(t) = t**2 - t**2 - t**2 - t**2. Let w(j) = 8*j. What is h(w(a))?
-128*a**2
Let h(s) = s**2 - 3. Let w(i) = -34*i**2. Give w(h(v)).
-34*v**4 + 204*v**2 - 306
Let p(b) = -b**2. Let j(o) = 162*o + 3. Calculate p(j(m)).
-26244*m**2 - 972*m - 9
Let u(k) = -35 - 2*k - 7*k + 2*k + 2*k. Let a(g) = g + 6. Let f(m) = 35*a(m) + 6*u(m). Let z(p) = p. Determine f(z(c)).
5*c
Let m(q) = q. Suppose -3 = -w - 4, -f = -5*w - 5. Suppose -2*a - 5*r - 33 + 12 = f, 20 = -4*r. Let k(p) = -4*p**a - 4*p + 4*p. Determine k(m(h)).
-4*h**2
Let z(w) be the third derivative of w**4/8 - 3*w**2. Let u(i) = -2*i. What is u(z(x))?
-6*x
Let q(v) = -5*v**2 - 11*v. Let c(x) = x**2. Determine c(q(z)).
25*z**4 + 110*z**3 + 121*z**2
Let y be 444/15 + (-14)/(-35). Let h(z) = -30*z + 2*z**2 + y*z. Let k(u) = -28*u**2. Calculate h(k(x)).
1568*x**4
Let v(h) = h**2. Let f(w) = 19*w**2 - 2. Determine v(f(r)).
361*r**4 - 76*r**2 + 4
Let m(j) be the first derivative of -j**3/2 - 2*j - 4. Let s(b) be the first derivative of m(b). Let v(z) = -3*z. Give v(s(w)).
9*w
Let l(j) be the third derivative of -j**5/60 + j**2. Let t(g) = g**2 - 4. Let i be t(-3). Let a(y) = -5 + i - y. Give l(a(q)).
-q**2
Let m(h) be the first derivative of -h**5/60 - 2*h**3/3 + 3. Let y(w) be the third derivative of m(w). Let j(l) = 4*l. Calculate y(j(f)).
-8*f
Let o(n) = 2*n**2. Let k be ((-1)/3)/((-4)/(-36)). Let s(j) = -j. Let t(w) = -2*w. Let a(z) = k*t(z) + 4*s(z). Calculate a(o(x)).
4*x**2
Let d(m) be the third derivative of 0*m**4 - 3*m**2 + 1/30*m**5 + 0*m + 0 + 0*m**3. Let i(b) = 3*b. What is i(d(a))?
6*a**2
Let p(v) be the first derivative of -1 + 3 - 4*v**2 + 2*v**2. Let u(s) = -s**2. Determine p(u(z)).
4*z**2
Let d(n) = 756*n. Let i(v) = -25*v. Determine i(d(t)).
-18900*t
Let m(x) = -4*x - 8. Let w(c) = 47*c**2. Give m(w(n)).
-188*n**2 - 8
Let t(u) = 14*u. Let x(n) = -288*n**2 + 146*n**2 + 143*n**2. Calculate x(t(p)).
196*p**2
Let v(i) be the third derivative of i**4/4 - i**2. Let b(k) = 2*k. Give v(b(w)).
12*w
Let j(t) = t**2. Let k(g) = -g**2 + 9*g + 4. Let b be k(8). Suppose 2*r + r = b. Let n(z) = 3*z + 3*z - r*z. Determine n(j(v)).
2*v**2
Let n(z) = -z**2 + 11*z - 16. Let b be n(9). Let f(g) be the third derivative of -g**b + 0*g + 0*g**3 + 0 - 1/12*g**4. Let q(o) = -4*o. What is f(q(r))?
8*r
Let p(b) = 3*b**2 - 11. Let v(m) = m. Give p(v(a)).
3*a**2 - 11
Let o(w) = -15*w + 32*w + 61*w. Let s(t) = -t**2. Calculate s(o(i)).
-6084*i**2
Let u(g) be the third derivative of g**5/30 + 7*g**2. Let i(z) be the first derivative of -2*z**3/3 + 1. Determine u(i(p)).
8*p**4
Let i(f) = f + 10. Let r be i(-9). Let y be 3/r + (-1)/1. Let j(h) = -2*h**y + h**2 + 4*h**2. Let u(o) = -o. Determine j(u(a)).
3*a**2
Let p(t) = -6*t. Let x(i) = -11*i**2 - 1. Calculate p(x(g)).
66*g**2 + 6
Let h(y) = 21*y - 2. Let c(l) = 5*l - 4. Let t(s) = 4*s - 3. Let a(m) = 3*c(m) - 4*t(m). Determine a(h(i)).
-21*i + 2
Let h(j) = -5*j**2. Let t(v) = 4*v - 13*v + 15*v. G | {
"pile_set_name": "DM Mathematics"
} |
by 995.
433
What is the remainder when 11968 is divided by 5980?
8
What is the remainder when 19104 is divided by 233?
231
What is the remainder when 12432 is divided by 158?
108
Calculate the remainder when 158015 is divided by 14.
11
Calculate the remainder when 18478 is divided by 638.
614
What is the remainder when 1360 is divided by 208?
112
Calculate the remainder when 2044 is divided by 166.
52
What is the remainder when 3045 is divided by 578?
155
Calculate the remainder when 113 is divided by 66.
47
What is the remainder when 35298 is divided by 11762?
12
Calculate the remainder when 28308 is divided by 3.
0
What is the remainder when 2693 is divided by 2687?
6
What is the remainder when 201953 is divided by 34?
27
Calculate the remainder when 39116 is divided by 7821.
11
Calculate the remainder when 4848 is divided by 22.
8
Calculate the remainder when 20460 is divided by 3393.
102
What is the remainder when 933 is divided by 93?
3
Calculate the remainder when 1793 is divided by 84.
29
What is the remainder when 2102 is divided by 540?
482
What is the remainder when 596735 is divided by 148?
147
Calculate the remainder when 222127 is divided by 851.
16
Calculate the remainder when 7164 is divided by 3545.
74
Calculate the remainder when 73470 is divided by 29.
13
What is the remainder when 108984 is divided by 15563?
43
What is the remainder when 1033758 is divided by 520?
518
What is the remainder when 841 is divided by 141?
136
Calculate the remainder when 3262 is divided by 1087.
1
Calculate the remainder when 418891 is divided by 1401.
1393
Calculate the remainder when 2330 is divided by 132.
86
Calculate the remainder when 5929 is divided by 1044.
709
What is the remainder when 4017 is divided by 1339?
0
What is the remainder when 37301 is divided by 812?
761
Calculate the remainder when 3017 is divided by 688.
265
What is the remainder when 6471 is divided by 198?
135
What is the remainder when 137475 is divided by 208?
195
What is the remainder when 657831 is divided by 20557?
7
What is the remainder when 1533069 is divided by 55?
54
Calculate the remainder when 14010 is divided by 223.
184
What is the remainder when 265 is divided by 94?
77
Calculate the remainder when 3007 is divided by 290.
107
Calculate the remainder when 6106 is divided by 94.
90
Calculate the remainder when 2017967 is divided by 22.
17
Calculate the remainder when 64158 is divided by 132.
6
What is the remainder when 268 is divided by 39?
34
Calculate the remainder when 4939 is divided by 2.
1
What is the remainder when 206096 is divided by 191?
7
What is the remainder when 67160 is divided by 4197?
8
What is the remainder when 549 is divided by 108?
9
What is the remainder when 11494 is divided by 177?
166
What is the remainder when 103457 is divided by 821?
11
What is the remainder when 8644 is divided by 4284?
76
What is the remainder when 224 is divided by 3?
2
Calculate the remainder when 2245 is divided by 625.
370
Calculate the remainder when 224 is divided by 33.
26
What is the remainder when 12602 is divided by 451?
425
What is the remainder when 1308 is divided by 182?
34
What is the remainder when 187655 is divided by 73?
45
Calculate the remainder when 2053113 is divided by 14.
13
What is the remainder when 13011 is divided by 6500?
11
What is the remainder when 3801 is divided by 50?
1
Calculate the remainder when 10806 is divided by 264.
246
What is the remainder when 529827 is divided by 299?
298
Calculate the remainder when 25517 is divided by 13.
11
What is the remainder when 173768 is divided by 116?
0
What is the remainder when 3533 is divided by 44?
13
Calculate the remainder when 38948 is divided by 41.
39
What is the remainder when 68242 is divided by 22?
20
Calculate the remainder when 510 is divided by 225.
60
What is the remainder when 10743 is divided by 284?
235
Calculate the remainder when 5509 is divided by 53.
50
What is the remainder when 396468 is divided by 960?
948
What is the remainder when 36861 is divided by 97?
1
What is the remainder when 1610 is divided by 227?
21
Calculate the remainder when 5643 is divided by 1126.
13
What is the remainder when 10144 is divided by 1053?
667
Calculate the remainder when 476 is divided by 449.
27
Calculate the remainder when 38569 is divided by 6.
1
Calculate the remainder when 1636 is divided by 813.
10
Calculate the remainder when 6180 is divided by 54.
24
What is the remainder when 21769 is divided by 22?
11
What is the remainder when 523033 is divided by 87167?
31
What is the remainder when 1519 is divided by 217?
0
Calculate the remainder when 1854 is divided by 316.
274
What is the remainder when 17374 is divided by 1021?
17
Calculate the remainder when 115833 is divided by 591.
588
What is the remainder when 844543 is divided by 175?
168
What is the remainder when 4926 is divided by 1639?
9
What is the remainder when 69457 is divided by 2484?
2389
What is the remainder when 1952238 is divided by 184?
182
What is the remainder when 260692 is divided by 1650?
1642
What is the remainder when 2373 is divided by 198?
195
Calculate the remainder when 3002 is divided by 136.
10
What is the remainder when 57469 is divided by 491?
22
What is the remainder when 10667 is divided by 2105?
142
What is the remainder when 1420 is divided by 1337?
83
Calculate the remainder when 15236 is divided by 761.
16
What is the remainder when 53995 is divided by 183?
10
Calculate the remainder when 405972 is divided by 378.
0
Calculate the remainder when 66747 is divided by 15.
12
What is the remainder when 16452 is divided by 17?
13
Calculate the remainder when 12676 is divided by 132.
4
Calculate the remainder when 59966 is divided by 15.
11
Calculate the remainder when 20273 is divided by 428.
157
Calculate the remainder when 5537 is divided by 395.
7
What is the remainder when 6090 is divided by 239?
115
What is the remainder when 6095 is divided by 618?
533
Calculate the remainder when 562950 is divided by 8.
6
What is the remainder when 189 is divided by 43?
17
Calculate the remainder when 6377 is divided by 255.
2
What is the remainder when 200213 is divided by 40040?
13
Calculate the remainder when 540780 is divided by 94.
92
Calculate the remainder when 33636 is divided by 436.
64
Calculate the remainder when 10886 is divided by 81.
32
What is the remainder when 9802 is divided by 2309?
566
Calculate the remainder when 13733 is divided by 13479.
254
Calculate the remainder when 62124 is divided by 28.
20
What is the remainder when 290695 is divided by 203?
202
Calculate the remainder when 15838 is divided by 44.
42
What is the remainder when 1007119 is divided by 267?
262
Calculate the remainder when 3023 is divided by 1052.
919
What is the remainder when 17170 is divided by 51?
34
Calculate the remainder when 1821 is divided by 677.
467
Calculate the remainder when 337 is divided by 69.
61
What is the remainder when 50822 is divided by 2209?
15
Calculate the remainder when 25120 is divided by 3553.
249
Calculate the remainder when 1173148 is divided by 825.
823
Calculate the remainder when 442165 is divided by 62.
43
Calculate the remainder when 265501 is divided by 184.
173
Calculate the remainder when 43999 is divided by 80.
79
What is the remainder when 1780 is divided by 483?
331
Calculate the remainder when 169348 is divided by 1283.
1275
What is the remainder when 89 is divided by 41?
7
Calculate the remainder when 33972 is divided by 1785.
57
Calculate the remainder when 585 is divided by 177.
54
Calculate the remainder when 15133 is divided by 47.
46
Calculate the remainder when 2070 is divided by 71.
11
What is the remainder when 553 is divided by 2?
1
What is the remainder when 818 is divided by 197?
30
What is the remainder when 52370 is divided by 17456?
2
Calculate the remainder when 1768 is divided by 10.
8
What is the remainder when 16670973 is divided by 2352?
2349
Calculate the remainder when 31417 is divided by 1848.
1
What is the remainder when 651 is divided by 608?
43
Calculate the remainder when 23661 is divided by 3931.
75
What is the remainder when 71893 is divided by 10269?
10
Calculate the remainder when 17539 is divided by 47.
8
What is the remainder when 507 | {
"pile_set_name": "DM Mathematics"
} |
e thousands digit of 445410?
5
What is the units digit of 6014279?
9
What is the hundreds digit of 2568499?
4
What is the units digit of 10460345?
5
What is the hundred thousands digit of 245765?
2
What is the tens digit of 43028?
2
What is the thousands digit of 3415508?
5
What is the tens digit of 318831?
3
What is the hundreds digit of 1167491?
4
What is the hundred thousands digit of 866789?
8
What is the thousands digit of 65029?
5
What is the ten millions digit of 17413821?
1
What is the thousands digit of 12677941?
7
What is the hundreds digit of 8452059?
0
What is the hundreds digit of 1781151?
1
What is the hundred thousands digit of 3669426?
6
What is the ten millions digit of 34639015?
3
What is the tens digit of 1628838?
3
What is the hundred thousands digit of 5937202?
9
What is the units digit of 37076?
6
What is the ten thousands digit of 2921055?
2
What is the units digit of 3193990?
0
What is the ten thousands digit of 378603?
7
What is the thousands digit of 363654?
3
What is the ten thousands digit of 304071?
0
What is the hundreds digit of 8578264?
2
What is the ten thousands digit of 3364138?
6
What is the thousands digit of 30465276?
5
What is the ten thousands digit of 5707579?
0
What is the thousands digit of 207892?
7
What is the tens digit of 577050?
5
What is the ten thousands digit of 24088744?
8
What is the millions digit of 12068400?
2
What is the hundreds digit of 306176?
1
What is the tens digit of 28519352?
5
What is the thousands digit of 60336?
0
What is the hundred thousands digit of 720867?
7
What is the millions digit of 1443578?
1
What is the tens digit of 9541666?
6
What is the units digit of 300083?
3
What is the tens digit of 106270?
7
What is the thousands digit of 273674?
3
What is the tens digit of 1086696?
9
What is the hundred thousands digit of 574511?
5
What is the tens digit of 2806666?
6
What is the ten thousands digit of 298206?
9
What is the thousands digit of 7804294?
4
What is the hundred thousands digit of 3311500?
3
What is the hundred thousands digit of 270085?
2
What is the thousands digit of 3660559?
0
What is the tens digit of 63355?
5
What is the millions digit of 1061945?
1
What is the ten thousands digit of 408673?
0
What is the ten thousands digit of 181574?
8
What is the thousands digit of 4024072?
4
What is the thousands digit of 863686?
3
What is the hundred thousands digit of 5285813?
2
What is the hundreds digit of 56598?
5
What is the ten thousands digit of 1463949?
6
What is the millions digit of 4338553?
4
What is the ten thousands digit of 12133254?
3
What is the thousands digit of 474622?
4
What is the tens digit of 31734736?
3
What is the thousands digit of 1966239?
6
What is the units digit of 822410?
0
What is the thousands digit of 7387?
7
What is the tens digit of 396066?
6
What is the hundreds digit of 36170?
1
What is the units digit of 6120326?
6
What is the hundred thousands digit of 108489?
1
What is the hundreds digit of 119283?
2
What is the ten thousands digit of 4157996?
5
What is the tens digit of 1379330?
3
What is the hundred thousands digit of 136278?
1
What is the millions digit of 1047883?
1
What is the ten thousands digit of 33947465?
4
What is the thousands digit of 5009091?
9
What is the thousands digit of 6772868?
2
What is the hundreds digit of 2971830?
8
What is the ten thousands digit of 3262798?
6
What is the thousands digit of 586374?
6
What is the units digit of 293933?
3
What is the ten millions digit of 27665988?
2
What is the hundred thousands digit of 112662?
1
What is the hundred thousands digit of 4916516?
9
What is the hundred thousands digit of 2732847?
7
What is the tens digit of 1144350?
5
What is the tens digit of 20880272?
7
What is the ten thousands digit of 44317?
4
What is the units digit of 9487?
7
What is the millions digit of 1292754?
1
What is the hundreds digit of 383995?
9
What is the ten thousands digit of 42790?
4
What is the hundred thousands digit of 18543791?
5
What is the ten thousands digit of 94363?
9
What is the thousands digit of 2336994?
6
What is the thousands digit of 26574?
6
What is the ten thousands digit of 509137?
0
What is the hundred thousands digit of 432381?
4
What is the ten thousands digit of 255089?
5
What is the ten thousands digit of 519282?
1
What is the hundred thousands digit of 407909?
4
What is the tens digit of 4165089?
8
What is the hundreds digit of 186540?
5
What is the tens digit of 2437644?
4
What is the thousands digit of 965986?
5
What is the units digit of 6018097?
7
What is the tens digit of 9159115?
1
What is the ten millions digit of 14344639?
1
What is the hundreds digit of 129128?
1
What is the tens digit of 5331105?
0
What is the hundreds digit of 303274?
2
What is the millions digit of 1136846?
1
What is the thousands digit of 52950?
2
What is the units digit of 3229338?
8
What is the hundreds digit of 4987640?
6
What is the units digit of 1027776?
6
What is the hundreds digit of 5406?
4
What is the ten thousands digit of 673848?
7
What is the hundreds digit of 5665426?
4
What is the hundreds digit of 240709?
7
What is the tens digit of 8389487?
8
What is the ten thousands digit of 5744467?
4
What is the ten thousands digit of 329684?
2
What is the hundreds digit of 901791?
7
What is the ten millions digit of 13223181?
1
What is the tens digit of 837954?
5
What is the hundreds digit of 1744679?
6
What is the units digit of 163279?
9
What is the thousands digit of 31060180?
0
What is the hundred thousands digit of 8766410?
7
What is the thousands digit of 766794?
6
What is the hundreds digit of 3000250?
2
What is the units digit of 221482?
2
What is the millions digit of 2753607?
2
What is the millions digit of 12948158?
2
What is the ten thousands digit of 257624?
5
What is the hundred thousands digit of 705938?
7
What is the tens digit of 15155688?
8
What is the hundred thousands digit of 7003542?
0
What is the tens digit of 299187?
8
What is the ten thousands digit of 268144?
6
What is the tens digit of 428758?
5
What is the ten thousands digit of 717412?
1
What is the ten thousands digit of 185516?
8
What is the hundreds digit of 24367?
3
What is the units digit of 13794252?
2
What is the tens digit of 582280?
8
What is the thousands digit of 2639012?
9
What is the hundreds digit of 199803?
8
What is the ten thousands digit of 35377525?
7
What is the thousands digit of 818449?
8
What is the tens digit of 221431?
3
What is the tens digit of 19825619?
1
What is the units digit of 310832?
2
What is the hundreds digit of 7998732?
7
What is the hundreds digit of 34066298?
2
What is the units digit of 4684043?
3
What is the tens digit of 93879?
7
What is the tens digit of 9234370?
7
What is the hundred thousands digit of 663813?
6
What is the ten thousands digit of 4498220?
9
What is the thousands digit of 2576868?
6
What is the units digit of 2017572?
2
What is the ten thousands digit of 233821?
3
What is the ten thousands digit of 900866?
0
What is the thousands digit of 2589579?
9
What is the hundred thousands digit of 466473?
4
What is the ten thousands digit of 1027452?
2
What is the thousands digit of 21201971?
1
What is the ten thousands digit of 330802?
3
What is the units digit of 1861863?
3
What is the thousands digit of 3811932?
1
What is the thousands digit of 49816?
9
What is the tens digit of 9470619?
1
What is the tens digit of 113639?
3
What is the hundred thousands digit of 2481146?
4
What is the hundreds digit of 309248?
2
What is the units digit of 53832?
2
What is the hundred thousands digit of 264375?
2
What is the thousands digit of 125939?
5
What is the hundreds digit of 496957?
9
What is the thousands digit of 327646?
7
What is the hundred thousands digit of 580555?
5
What is the hundreds digit of 246072?
0
What is the hundreds digit of 3402420?
4
What is the units digit of 19494017?
7
What is the hundred thousands digit of 188945?
1
What is the thousands digit of 151598?
1
What is the ten thousands digit of 7150617?
5
What is the hundred thousands digit of 1217704?
2
What is the hundred thousands digit of 1046580?
0
What is the thousands digit of 907687?
7
What is the hundreds digit of 6332049?
0
What is the thousands digit of 5676123?
6
What is | {
"pile_set_name": "DM Mathematics"
} |
atest common divisor of 364 and 196?
28
Calculate the greatest common divisor of 488 and 16.
8
What is the greatest common divisor of 95 and 171?
19
What is the greatest common factor of 2979 and 18?
9
What is the highest common factor of 1081 and 282?
47
Calculate the highest common divisor of 24 and 24.
24
Calculate the greatest common factor of 408 and 648.
24
Calculate the greatest common divisor of 667 and 23.
23
Calculate the greatest common factor of 248 and 8.
8
What is the highest common factor of 121 and 4719?
121
Calculate the highest common divisor of 130 and 40.
10
Calculate the highest common divisor of 7 and 4711.
7
What is the greatest common factor of 830 and 16102?
166
What is the greatest common factor of 12 and 162?
6
What is the highest common factor of 5339 and 76?
19
Calculate the greatest common divisor of 1096 and 152.
8
Calculate the greatest common divisor of 104 and 247.
13
Calculate the greatest common divisor of 611 and 47.
47
Calculate the greatest common factor of 116 and 2842.
58
What is the greatest common factor of 88 and 979?
11
What is the greatest common factor of 13 and 1?
1
What is the greatest common factor of 9 and 18?
9
Calculate the greatest common divisor of 10894 and 39.
13
Calculate the highest common factor of 202 and 14746.
202
What is the highest common factor of 80 and 3856?
16
What is the greatest common factor of 2645 and 20?
5
Calculate the greatest common factor of 1773 and 18.
9
What is the highest common factor of 33 and 28567?
11
Calculate the highest common divisor of 252 and 308.
28
Calculate the highest common divisor of 31 and 248.
31
What is the greatest common factor of 756 and 336?
84
Calculate the highest common divisor of 20 and 5.
5
Calculate the highest common divisor of 290 and 232.
58
Calculate the greatest common divisor of 280 and 350.
70
Calculate the highest common factor of 2576 and 28.
28
Calculate the greatest common divisor of 97 and 97.
97
What is the highest common factor of 32 and 784?
16
What is the greatest common factor of 78 and 30?
6
Calculate the greatest common factor of 17 and 340.
17
What is the greatest common factor of 38 and 2?
2
Calculate the highest common factor of 208 and 767.
13
Calculate the greatest common factor of 1 and 25.
1
Calculate the greatest common divisor of 56 and 196.
28
Calculate the greatest common factor of 238 and 51.
17
What is the greatest common factor of 78 and 12129?
39
What is the greatest common divisor of 12 and 498?
6
What is the greatest common factor of 1670 and 5344?
334
What is the highest common factor of 216 and 297?
27
Calculate the highest common factor of 15 and 9.
3
Calculate the highest common divisor of 208 and 1976.
104
Calculate the greatest common divisor of 120 and 195.
15
What is the greatest common divisor of 448 and 196?
28
What is the greatest common divisor of 65 and 13?
13
Calculate the highest common divisor of 32 and 224.
32
Calculate the greatest common factor of 833 and 441.
49
Calculate the greatest common divisor of 513 and 54.
27
What is the highest common factor of 2294 and 93?
31
Calculate the highest common factor of 42 and 54.
6
What is the highest common divisor of 273 and 42?
21
Calculate the greatest common divisor of 74 and 6697.
37
What is the greatest common divisor of 24 and 8?
8
Calculate the highest common divisor of 330 and 4994.
22
What is the greatest common factor of 19 and 437?
19
Calculate the highest common divisor of 64 and 10.
2
Calculate the highest common factor of 14 and 2422.
14
What is the highest common factor of 377 and 203?
29
What is the highest common factor of 16 and 2672?
16
Calculate the greatest common divisor of 1272 and 12.
12
What is the highest common divisor of 375 and 15?
15
What is the highest common divisor of 26 and 1586?
26
Calculate the greatest common divisor of 429 and 117.
39
Calculate the highest common divisor of 270 and 27.
27
What is the highest common divisor of 112 and 35?
7
What is the highest common divisor of 60 and 75?
15
What is the highest common divisor of 5 and 785?
5
Calculate the highest common divisor of 174 and 25114.
58
Calculate the highest common factor of 729 and 162.
81
Calculate the highest common divisor of 5481 and 441.
63
Calculate the highest common factor of 232 and 87.
29
What is the highest common factor of 11 and 1397?
11
What is the highest common factor of 12 and 732?
12
Calculate the greatest common factor of 5355 and 34.
17
Calculate the greatest common factor of 34 and 61302.
34
Calculate the highest common factor of 13 and 65.
13
What is the greatest common divisor of 95 and 323?
19
Calculate the highest common factor of 525 and 210.
105
Calculate the greatest common factor of 73 and 292.
73
What is the greatest common factor of 174 and 928?
58
Calculate the highest common divisor of 187 and 2101.
11
What is the greatest common factor of 210 and 50505?
105
Calculate the greatest common factor of 377 and 13.
13
Calculate the highest common factor of 2 and 22.
2
What is the greatest common divisor of 560 and 245?
35
What is the greatest common factor of 53 and 1007?
53
What is the greatest common divisor of 4 and 12?
4
What is the greatest common factor of 244 and 1098?
122
Calculate the greatest common factor of 2363 and 139.
139
What is the greatest common divisor of 340 and 136?
68
Calculate the greatest common divisor of 246 and 2.
2
What is the highest common divisor of 1192 and 149?
149
Calculate the greatest common divisor of 1260 and 100.
20
Calculate the highest common divisor of 18 and 1683.
9
What is the greatest common divisor of 2509 and 13?
13
Calculate the highest common divisor of 3522 and 6.
6
What is the greatest common divisor of 785 and 15?
5
What is the greatest common divisor of 14 and 2527?
7
Calculate the highest common divisor of 303 and 101.
101
What is the greatest common factor of 95 and 494?
19
What is the highest common factor of 54 and 144?
18
What is the highest common factor of 2125 and 375?
125
What is the greatest common factor of 1220 and 2?
2
What is the greatest common factor of 144 and 14592?
48
Calculate the highest common factor of 8667 and 1177.
107
Calculate the highest common factor of 390 and 936.
78
What is the greatest common divisor of 234 and 351?
117
Calculate the greatest common factor of 68 and 102.
34
What is the highest common divisor of 460 and 100?
20
What is the highest common divisor of 561 and 66?
33
What is the greatest common factor of 156 and 18?
6
What is the highest common factor of 20 and 705?
5
Calculate the highest common divisor of 39 and 1248.
39
What is the highest common divisor of 406 and 112?
14
Calculate the highest common factor of 29 and 18328.
29
Calculate the highest common factor of 44355 and 30.
15
Calculate the greatest common factor of 5520 and 207.
69
Calculate the highest common factor of 406 and 58.
58
What is the highest common factor of 8 and 1352?
8
Calculate the highest common divisor of 704 and 512.
64
What is the greatest common divisor of 18135 and 13?
13
Calculate the highest common factor of 570 and 1520.
190
Calculate the highest common divisor of 125 and 1025.
25
Calculate the greatest common divisor of 20 and 28780.
20
Calculate the highest common divisor of 345 and 3910.
115
What is the highest common divisor of 10089 and 27?
9
Calculate the highest common factor of 387 and 43.
43
Calculate the highest common divisor of 179 and 27029.
179
Calculate the highest common divisor of 22 and 1914.
22
What is the highest common factor of 46 and 6946?
46
What is the greatest common divisor of 5055 and 15?
15
Calculate the highest common divisor of 3575 and 2275.
325
What is the greatest common factor of 399 and 7?
7
Calculate the greatest common divisor of 67 and 335.
67
What is the greatest common divisor of 207 and 14?
1
What is the highest common factor of 6 and 630?
6
What is the greatest common divisor of 102 and 12?
6
Calculate the greatest common factor of 45526 and 34.
34
Calculate the highest common factor of 20 and 284.
4
What is the highest common factor of 238 and 204?
34
Calculate the highest common factor of 41625 and 45.
45
What is the highest common factor of 640 and 10?
10
Calculate the greatest co | {
"pile_set_name": "DM Mathematics"
} |
*l. Suppose 0 = 3*s - 9, -5*y + 5*s - 3 = 2. Let i(t) = -y*t + 1 + t + 0 - 3. What is 2*b(h) + i(h)?
h - 2
Let u(x) = -4*x**2 + 20*x + 6. Let a be u(5). Let g(s) = s + 6. Let p = 11 + -9. Suppose p = -f - f. Let r(c) = 1. What is a*r(l) + f*g(l)?
-l
Let b be 4*(-6)/(-36) - (-16)/3. Let y(f) = -2*f**2 + 6*f + 6. Let r be (-5)/(-15) - (-11)/3. Let u(x) = -4*x - 5*x + 2*x**2 + r*x - 5. What is b*u(s) + 5*y(s)?
2*s**2
Let a(l) = l**2 - l - 1. Let d(c) = -3*c**3 + 2*c**2 - 2*c - 3. Let y(t) = -t**3 + 5*t**2 + 11*t - 31. Let f be y(6). What is f*d(v) + 2*a(v)?
3*v**3 + 1
Suppose 486 = -42*m + 123*m. Let h(b) = -2*b**2 + 8*b - 8. Let z(x) = -2*x**2 + 9*x - 9. Determine m*z(q) - 7*h(q).
2*q**2 - 2*q + 2
Let k(r) = 11*r. Let c(y) = -5*y. Suppose -11*j + 22*j + 77 = 0. Determine j*c(w) - 3*k(w).
2*w
Suppose -49*p = -61*p + 132. Let r = -3 - 1. Let t(c) = 4*c - 11. Let o(d) = d - 4. Determine p*o(b) + r*t(b).
-5*b
Let x(f) = f**2 - 2*f. Let c(d) = 46*d**3 + 2*d**2 - 4*d. Calculate -c(o) + 2*x(o).
-46*o**3
Let p(t) = -t**2 - 4*t + 7. Let s(d) = 2*d**2 + 5*d - 8. Calculate 4*p(y) + 3*s(y).
2*y**2 - y + 4
Let d(j) = j**3 - 6*j**2 + 5*j - 6. Let v(o) = -o**2 - 1. Let p(g) = 7*g**3 + 148*g**2 + 19*g - 41. Let x be p(-21). Give x*d(s) - 6*v(s).
s**3 + 5*s
Let b(y) = y**2. Let m(f) = -3*f**2 + 46*f. Calculate -4*b(a) - m(a).
-a**2 - 46*a
Let u = 245 - 231. Let y(k) = 5*k**3 + 7*k**2 - 5*k. Let o(v) = 2*v**3 + 3*v**2 - 2*v. Give u*o(b) - 6*y(b).
-2*b**3 + 2*b
Let d(k) = -17*k. Let f be (-320)/(-60) - 4/3. Suppose 0 = 2*o - o - 15. Let h(g) = f*g - 15 + o. Give 4*d(a) + 18*h(a).
4*a
Let y(v) = v - 1. Suppose 16 + 8 = 6*l. Let h(c) = -2*c + 4. Let x(z) = l*h(z) + 11*y(z). Let o(g) = 9*g + 14. Give 3*o(r) - 8*x(r).
3*r + 2
Let x(a) = 2*a**2 + 2*a + 1. Let w(i) = 9*i**2 + 101*i + 4. Give -w(d) + 4*x(d).
-d**2 - 93*d
Let j(a) = -a**3 + a**2 - 1. Let s(v) = 4*v**2 - 3. Let g(o) = -o**2 - 5*o - 1. Let d be g(-4). Suppose -28*b + d = -31*b. What is b*s(h) + 2*j(h)?
-2*h**3 - 2*h**2 + 1
Let p(i) = 19*i**2 - i - 13. Let u(f) = -13*f**2 + f + 9. Suppose -h + 3*k - 27 = -2*k, 0 = -2*h - 3*k - 2. Calculate h*u(g) - 5*p(g).
-4*g**2 - 2*g + 2
Let l(w) be the first derivative of w**3/3 - w - 405. Let y(x) = -3*x**3 - x**2 + 1. Determine -6*l(z) - 6*y(z).
18*z**3
Suppose 2*m = 16 - 24. Let h(j) = 4*j + 3. Let f(k) = 5*k + 3. Give m*h(b) + 3*f(b).
-b - 3
Let a(j) be the second derivative of -j**4/6 - j**3/2 - 3*j**2/2 + 59*j. Let f(g) = -25*g**2 - 40*g - 40. Calculate -40*a(h) + 3*f(h).
5*h**2
Let t(d) = d**3 - 14*d**2 + 12*d + 16. Let r be t(13). Let b = r - 8. Let n(s) = 5. Let l(o) = -o**2 + 6. Give b*l(i) + 6*n(i).
5*i**2
Let m(w) = -12*w**3 - 2*w**2 - 2. Let v = 1133 + -1132. Let n(o) = o**3 + o**2 + 1. What is v*m(q) + 2*n(q)?
-10*q**3
Let a(f) = 31*f + 48. Let k(x) = 47*x + 74. What is -8*a(s) + 5*k(s)?
-13*s - 14
Let l(m) = -m. Let r(j) = 17*j - 3. Let z(p) = -90*p + 16. Let g(f) = -16*r(f) - 3*z(f). Give -g(i) + 3*l(i).
-i
Let y(i) = -23*i**2 - 5*i - 1. Let p(b) = -b**2 - b. What is -p(g) + y(g)?
-22*g**2 - 4*g - 1
Let p(f) = 4*f + 1. Let h be -1 + 12 + -3 + -3. Let j(m) = m. Calculate h*j(i) - p(i).
i - 1
Let b(k) = 9*k + 1 + k**3 - 25*k + 15*k. Let r(d) = 6*d**3 - 4*d + 4. Calculate -12*b(h) + 3*r(h).
6*h**3
Let f(n) = -5*n**2 + 3*n - 2. Let i = 12 - 8. Let a(r) be the second derivative of r**4/4 - r**3/3 + r**2/2 - 5*r. Give i*f(o) + 7*a(o).
o**2 - 2*o - 1
Let j(z) be the first derivative of -z**4/2 + z**3/3 + z**2 - 2*z - 182. Let n(a) = -5*a**3 + 3*a**2 + 7*a - 7. Give 7*j(g) - 2*n(g).
-4*g**3 + g**2
Let x(j) = 1. Let r(q) = -349 + 329 + 4*q - 4*q - 3*q + 5*q. What is -r(h) - 10*x(h)?
-2*h + 10
Let g(m) = m**2 - m. Let j(f) = 4*f**2 - f - 1. Let b(z) = -3*z - 75. Let a be b(-26). Determine a*g(w) - j(w).
-w**2 - 2*w + 1
Let l(h) = 157*h**3 + 3*h**2 + 3*h. Let g(u) = 23080*u**3 + 440*u**2 + 440*u. Determine 6*g(z) - 880*l(z).
320*z**3
Let m(o) = -o**3 + 4*o**2 - 4*o. Let d be (-7*(-4)/(-14))/(-1). Let x(n) = n**2 - n. Give d*x(b) - m(b).
b**3 - 2*b**2 + 2*b
Let t = 275 + -274. Let i(n) = -16*n + 12. Let f(s) = -3*s + 1 + 0*s + 2*s. Determine t*i(o) - 12*f(o).
-4*o
Let w(g) = -3*g**2 - 4*g**2 + 4*g**2 - 3 - 3*g - 9*g**3. Let n(h) = 28*h**3 + 10*h**2 + 10*h + 10. Let u be 2/(-6) + (-145)/15. Calculate u*w(z) - 3*n(z).
6*z**3
Let i(y) = 5*y**3 + 6*y**2 + 38*y + 3. Let d(w) = 10*w**3 + 10*w**2 + 78*w + 5. Give -3*d(h) + 5*i(h).
-5*h**3 - 44*h
Let o(x) = -25*x**2 - 10*x - 19. Let u(w) = -9*w**2 - 4*w - 6. What is 3*o(t) - 8*u(t)?
-3*t**2 + 2*t - 9
Suppose -h = -0*w + 3*w + 2, 3*h - 4*w = -19. Let b(i) = -4*i**3 + 2*i**2 - 4*i + 1. Let m(p) = -4*p**3 + 3*p**2 - 5*p + 1. Calculate h*b(k) + 4*m(k).
4*k**3 + 2*k**2 - 1
Let g be (-4)/1*(-70)/(-40). Let u = -37 + 42. Let f(m) = 4*m**3 - 7*m**2 - 2*m + 5. Let z(r) = 6*r**3 - 10*r**2 - 3*r + 7. Determine g*f(n) + u*z(n).
2*n**3 - n**2 - n
Let w(u) = -u**3 - 13*u**2 - 45*u - 46. Let k be w(-8). Let c(t) = -t**2 + 5*t + 5. Let i(j) = 4*j**2 + 6 - j - 5*j**2 + 7*j. What is k*c(b) + 5*i(b)?
b**2
Let l(c) = -2*c**3 - 6*c**2 + 6*c - 1. Let t(m) be the second derivative of -m**5/10 - 5*m**4/12 + 5*m**3/6 + 763*m. What is 5*l(u) - 6*t(u)?
2*u**3 - 5
Suppose l = -4*o, 14 - 7 = 3*o - l. Let i(j) = 1. Let g(y) = -2*y - 2. Calculate o*g(a) + 3*i(a).
-2*a + 1
Let w(q) = q + 35. Let y(f) = -7. Calculate 2*w(o) + 11*y(o).
2*o - 7
Let q(o) = -4*o**2 - 5*o - 2. Let v(h) = 5*h**2 + 6*h + 2. Suppose 0 = -7*g + 21 + 21. Suppose 3*t = 4*t + g. Give t*q(l) - 5*v(l).
-l**2 + 2
Let g(i) = 4*i**2 + 12*i - 115. Let f(y) = -y**2 - 7*y. Calculate 2*f(v) + g(v).
2*v**2 - 2*v - 115
Let l(v) = v - 1. Let o(x) = -x**2 + 16*x + 6. Calculate -6*l(j) - o(j).
j**2 - 22*j
Let n(c) = -2*c**2 + 1 + 2 + 4*c**2. Let s = 3 + 1. Let f(t) = 4*t**2 - 13. Let j(p) = -3*p**2 + 7. Let y(l) = -3*f(l) - 5*j(l). Give s*n(d) - 3*y(d).
-d**2
Let t(p) = p. Let y(b) = 4*b + 5. Let a(l) = -6*l - 7. Let u = -13 - -6. Let n(r) = u*y(r) - 5*a(r). Determine 3*n(h) - 5*t(h).
h
Let z be (-30)/(-12) + -5*6/60. Let q(y) = -2*y. Let o(m) = -4*m - 1. Calculate z*o(s) - 3*q(s).
-2*s - 2
Let i(p) = -p + 91. Let o(w) = -3. Determine i(m) + 5*o(m).
-m + 76
Let a(t) = -t + 4. Let v = -4 - 2. Let z(b) = -3*b + 10. Let u(q) = -5*q + 17. Let y(s) = -5*u(s) + 8*z(s). Give v*a(c) - 5*y(c).
c + 1
Let n(d) = -3*d**3 - 4*d**2 + 1. Let r(a) = -2*a**3 - 5*a**2 + 1. Let w = -531 + 527. Give w*r(j) + 5*n(j).
-7*j**3 + 1
Let o(d) = 2 - 3 + 3*d**2 + d**3 + 6. Let r(c) be the first derivative of -1/4*c**4 + 33 - 4*c + 0*c**2 - 2/3*c**3. Determine -3*o(y) - 4*r(y).
y**3 - y**2 + 1
Let c be 2/(-6) + 24/(-9). Let n(t) = t**2 - 2*t - 4. Suppose 6*x - 6 = 3*x. Let v(d) = -d - 5 + d**x + 4*d - 7*d + d. Give c*n(z) + 2*v(z).
-z**2 + 2
Let m(y) = 8*y**2 + 7*y - 7. Let g(z) = z**3 - 13*z**2 - 31*z + 1. Let j be g(15). Let q(t) = t**2 + t - 1. Give j*q(u) + 2*m(u).
2*u**2
Let g(q) = 67*q**2 + 3. Let s(i) = 133*i**2 + 6. Calculate -9*g(l) + 4*s(l).
-71*l**2 - 3
Let c(d) = 1. Let k(h) = 13*h - 4. Let o be (-11)/((-198)/(-27)) - (-10)/4. Determine o*k(u) + 3*c(u).
13*u - 1
Let x(u) = -14274*u - 305. Let w(g) = 140*g + 3. Determine 610*w(z) + 6*x(z).
-244*z
Let a(q) = 83*q**3 - 9*q**2 - 4*q + 1. Let h(t) = 124*t**3 - 13*t**2 - 6*t + 1. What is 7*a(z) - 5*h(z)?
-39*z**3 + 2*z**2 + 2*z + 2
Let s(h) = -61*h**3 - h**2 - 5*h - 5. Let l(f) = 62*f**3 + f**2 + 6*f + 6. What is -5*l(m) - 6*s(m)?
56*m**3 + m**2
Let v(f) = -9*f**2 + 4*f + 7. Let w(k) = -4*k**2 + 2*k + 3. Let a be (4/6)/((-2)/(-180)). Let g = a - 55. Calculate g*w(n) - 2*v(n).
-2*n**2 + 2*n + 1
Let t(i) = -3*i**2 - 5*i - 6. Let l(f) = -2*f + 5*f + 7 + 24*f**2 - 21*f**2 + 3*f. Determine 4*l(y) + 5*t(y).
-3*y**2 - y - 2
Let t(q) = 51*q - 4. Let z(v) = -49*v + 2. Calculate -3*t(u) - 4*z(u).
43*u + 4
Let n(x) = 2*x**2 + 3. Suppose -3*k = -5*k + 5*b - 29, 4*b = -5*k - 23. Let w(h) = -4*h**2 - 5. Give k*n(d) - 4*w(d).
2*d**2 - 1
Let j(w) be the second derivative of w**3/3 + w**2/2 - 97*w. Let l(s) = 6*s + 3. Calculate -8*j(t) + 3*l(t).
2*t + 1
Let a = -7 + 13. Let p(o) = o + 39 - 54 + 16. Let n(s) = 7*s + 7 + 5 - 4. Calculate a*p(l) - n(l).
-l - 2
Let v(d) = -d**3 + 4*d**2 + 13*d + 5. Let z be v(6). Let q(h) = 2*h**3 + 7*h. Let u(b) = 4*b**3 + 14*b. Give z*q(y) - 6*u(y).
-2 | {
"pile_set_name": "DM Mathematics"
} |
Suppose -s + y = -o. What is the highest common factor of s and 14?
7
Suppose 0*u + 14 = u - 3*s, -3*u + 31 = 2*s. Calculate the highest common factor of u and 88.
11
Let j(g) = g**3 + 4*g**2 - 3. Let d be j(4). Let n = d + -81. Let z(b) = 3*b - 2. Let u be z(2). What is the highest common factor of u and n?
4
Let w be (-3 - 30/(-14))*-21. Calculate the greatest common factor of w and 90.
18
Let j be (-2)/(-7) + 94/14. Suppose j*s - 4*s = 168. Suppose -q - 4*u - u = -37, -3*q = 4*u - s. Calculate the greatest common factor of q and 6.
6
Suppose -6*t + 3*t = -135. What is the highest common divisor of t and 15?
15
Suppose c + 12 = 5*c. Let u = -30 - -33. Suppose c*j = u - 0, 0 = -4*v + j + 43. Calculate the greatest common factor of v and 11.
11
Let q be (-63)/(-28)*(23 + -1 + -2). What is the greatest common divisor of 30 and q?
15
Suppose -3*o + 7 = z - 2*o, 5*o - 23 = -2*z. Suppose -z = n - 2*n. Suppose 2*c = n*c - 16. Calculate the greatest common divisor of 56 and c.
8
Let o(z) = -2*z**2 + z**2 + 2*z**2 + 9 - 9*z. Let n be o(8). What is the greatest common factor of 5 and n?
1
Suppose 0 = -3*a + 3, -2*j - 2*a + 12 = 3*j. Suppose j*c = -3*c + 440. What is the greatest common divisor of c and 11?
11
Suppose 2*w + 2*s + 16 = 0, 7 = -w - 3*s + s. Let g(u) = u**2 + 9*u + 2. Let d be g(w). Let l be (12 + -5)/(1/d). What is the greatest common factor of l and 7?
7
Suppose 0 = -f - 2*f + 24. Calculate the greatest common divisor of 2 and f.
2
Let q be (-5)/(-3) + (-3)/(-9) - 0. Let x be 1 + 0 + 16 + -1. What is the highest common divisor of q and x?
2
Let m = 8 - 6. What is the greatest common divisor of m and 22?
2
Let g(q) = -25*q - 5. Let c(r) = r**2 - 6*r - 2. Let s be c(6). Let f be g(s). Let b = -17 + 32. What is the greatest common divisor of b and f?
15
Suppose 0 = -5*h + 325 - 115. Let v = -30 + h. Let l = 89 + -86. Calculate the greatest common divisor of l and v.
3
Suppose c = -4*k - 2*c - 10, 5*c + 6 = -4*k. Let i be k/(5/((-5)/2)). Let d be 1/i - 318/(-4). What is the greatest common divisor of d and 10?
10
Let i be 96/(-168) + 445/7. Calculate the greatest common factor of i and 21.
21
Suppose g - 5*z = 3*g - 46, 3*z = 0. What is the highest common divisor of g and 46?
23
Let g be (-608)/(-28) + (-6)/(-21). Calculate the greatest common factor of g and 11.
11
Let w be 15/10*(7 + 1). What is the highest common divisor of 192 and w?
12
Let n(a) = a**3 - 4*a**2 - 4*a + 2. Let m be n(4). Let o = m + -5. Let x be -2 - (o - 6/3). What is the greatest common factor of x and 190?
19
Suppose c - 2*q - 368 = -5*q, 0 = 2*c - 2*q - 752. What is the highest common divisor of 22 and c?
22
Let s be (-3)/(-2 - 1) + 3. Let v = s + 0. Calculate the highest common factor of 1 and v.
1
Suppose -4*q + 16 = 3*m + m, -5*m + 6 = -2*q. Suppose q*j + 5*i = i + 44, -15 = 3*i. Calculate the highest common divisor of j and 80.
16
Suppose 0 = 5*g - 13 - 2. Suppose -3*u + g*v + 18 = -72, -4*v - 12 = 0. Let f be (-1 - (0 + 1)) + 11. Calculate the greatest common factor of u and f.
9
Let a = 0 - -13. Suppose 11*q - 1384 = 46. Calculate the highest common factor of a and q.
13
Let z = -19 + 35. Let w = 73 - 25. Calculate the greatest common factor of z and w.
16
Let g be (-38)/5 - (-4)/(-10). Let d be (g + 2)/(4/(-6)). Let b be ((-45)/(-2))/(2/4). What is the highest common divisor of d and b?
9
Suppose 5*a + 37 = g, 4*g - 273 = a - 6*a. Suppose w - 4 - 6 = 4*f, -5*f - g = -4*w. Calculate the highest common divisor of w and 27.
9
Let d = 9 - -7. Calculate the highest common factor of 24 and d.
8
Let c(d) = 4*d**3 + 8*d**2 - 5*d**3 - 2 - 6*d - 5. Let j be c(7). Suppose p + j*p - 72 = 0. What is the greatest common divisor of p and 8?
8
Suppose 8*h - 3*h = 75. What is the greatest common factor of 15 and h?
15
Let a be 28/1 - ((-8)/4 - -5). Calculate the highest common divisor of 225 and a.
25
Let c(t) = t**3 + 20*t**2 + 24*t + 37. Let m be c(-18). Calculate the highest common factor of m and 23.
23
Let s(r) = 7*r - 10. Let q be s(4). Suppose 4*g = 2*g + q. Calculate the greatest common factor of g and 9.
9
Let a be 1/(-6) - (-53)/(-6). Let l(q) = -q**3 - 10*q**2 - 9*q + 8. Let r be l(a). Calculate the highest common divisor of r and 8.
8
Let n(p) = p - 8. Let y be n(-8). Let x be (y/12)/(2/(-108)). Suppose m - x = -2*m. Calculate the highest common divisor of 3 and m.
3
Let l be ((-6)/8)/(6/(-24)). Suppose 0*s - l*s + 3 = 0. Calculate the greatest common factor of s and 1.
1
Suppose f + 0*f = 4*m + 128, 0 = 3*f - m - 406. What is the highest common divisor of 17 and f?
17
Let u(i) = 3*i - 13. Let m(k) = -8*k**3 + 2*k + 1. Let s be m(-1). Let z be u(s). Let v be 0 - (-4)/2*32. Calculate the greatest common factor of z and v.
8
Suppose 3*r - 216 = -r. Let d = -21 - -15. Let a be (d/7)/(3/(-21)). What is the highest common factor of r and a?
6
Let q be (6/7)/((-2)/(-28)). Suppose -3*f + 138 = 2*x, -5*f + 246 = -0*f - 2*x. Calculate the greatest common factor of q and f.
12
Suppose -12*s - 72 + 240 = 0. What is the highest common divisor of 14 and s?
14
Let w = -6 + 9. Let i be 0/1 + w*7. Let m = 0 - -7. Calculate the highest common divisor of i and m.
7
Let q be 2/(-4) + 129/2. Suppose -q = -h - h. What is the greatest common factor of 4 and h?
4
Let u(h) = -h**2 + 7*h - 4. Let v be u(4). What is the greatest common factor of v and 32?
8
Suppose -9*l + 169 = -2. Let n = -150 - -283. Calculate the greatest common factor of l and n.
19
Let k be 4/(-8)*0/2 - -21. What is the highest common divisor of 14 and k?
7
Let v = -19 - -29. Let a = -190 + 270. Calculate the greatest common divisor of v and a.
10
Suppose 2*s - 3*v - 90 = 0, v - 3*v = -5*s + 214. What is the highest common factor of s and 28?
14
Let l(h) = -41*h - 1. Let t be l(-1). Suppose -2 = 5*z - 52. What is the greatest common factor of z and t?
10
Suppose -3*m - 24 = -7*m. Suppose 4*q + 8 = m*q. Calculate the greatest common factor of q and 32.
4
Let x(i) = -5*i - 1 + 4*i + i - 4*i. Let v be x(-3). Calculate the highest common factor of v and 33.
11
Let w be 208/12 + 2/3. Let p = w - 12. Calculate the greatest common divisor of 54 and p.
6
Suppose -4*h - 25 + 9 = 0. Let m be 3/(-3)*(h - -1). Suppose -m*y = -2 - 1. Calculate the highest common divisor of y and 4.
1
Let w be -4*1*(1 - 27/4). What is the highest common factor of w and 69?
23
Let f be -1 - -3 - (-1 - 0). Let v be 0/((-3)/f) + 10. Suppose 3*b + 6 = 4*b + w, -46 = -3*b + 4*w. Calculate the greatest common factor of b and v.
10
Suppose 462 = 9*x + 5*x. Calculate the greatest common divisor of x and 11.
11
Suppose 0 = -2*y + 4*y. Let h(i) = i. Let x be h(y). Let n be x/(-2) - -18 - -1. Calculate the highest common factor of n and 57.
19
Suppose -38 = 5*i + 4*p, -22 = 3*i - 0*p + 2*p. Let u be 464/18 + 2/9. Let q = u - i. What is the highest common factor of 16 and q?
16
Suppose -5*k = -2*z - 39, -k = -2*k - 5*z + 24. Suppose -5*j + 90 = -5*y, k*j = 4*j + 2*y + 81. What is the highest common factor of 165 and j?
15
Suppose 18 = 5*n - 22. Suppose 4*b + 150 = 4*l + 10, -2*b - 190 = -5*l. Calculate the greatest common factor of n and l.
8
Let b(l) = l**2 - 13*l + 21. Let k be (-21)/2*(-20)/15. Let w be b(k). Calculate the greatest common divisor of 7 and w.
7
Suppose 0 = 4*h - h - 3*r - 105, -2*h - 2*r + 50 = 0. Calculate the highest common factor of h and 6.
6
Let s = 144 - 84. Let z be 124/10 + 4/(-10). What is the greatest common factor of z and s?
12
Suppose 6*g - 10 = g. Let a be g*(33/(-6) - -2). Let z(f) = -f**3 - 8*f**2 - 7*f + 10. Let r be z(a). Calculate the greatest common divisor of r and 10.
10
Let q(p) = -p - 4. Let s be q(-6). Suppose -5 = -5*y, -s*g - 4*y + 10 = -g. Let i = 3 - 1. What is the highest common factor of g and i?
2
Suppose 0 = -i + 55 + 25. What is the highest common divisor of 20 and i?
20
Suppose -10 = -29*r + 27*r. What is the greatest common factor of r and 35?
5
Let p = -14 - -33. What is the highest common divisor of p and 152?
19
Let t(h) = -2*h - 4 + 0 + h - h. Let p be t(-11). Calculate the greatest common factor of p and 3.
3
Let s = 35 - -82. Let x be -3 - s/(-3)*1. Calculate the highest common factor of x and 18.
18
Let y = -17 - -18. Calculate the greatest common divisor of y and 1.
1
Suppose 6 = -2*r - 0, -q + | {
"pile_set_name": "DM Mathematics"
} |
+ 0*b**2 + 2*b**2).
1945*b**2
Expand (4 - 4 - 4)*(3*a**3 + 0*a**3 + 2*a**2 + 23*a**3) + 0 + 2*a**3 + 0.
-102*a**3 - 8*a**2
Expand (-3*y**2 + 6*y**2 - 4*y**2)*(-3*y**2 + 0*y**2 - y**2) - 9625*y + 9625*y + 212*y**4.
216*y**4
Expand 3*u + 4*u - 5*u + (-u + 2*u + u)*(-4 - 3 + 6) - 4*u - 3*u + 5*u + (8*u - 19*u + 7*u)*(-4 - 7 + 5).
22*u
Expand 55*i**3 + 108*i - 108*i + 4*i - 4*i + 4*i**3 + (-2*i**2 + i - i)*(-i + 3 - 3) + 2*i**3 + 0*i**3 + 0*i**3 - 2*i**3 + 0*i**3 + i**3.
62*i**3
Expand (-1138 - 1095 + 1982)*(0*h**4 - 2*h**4 + h**4).
251*h**4
Expand (50 - 41 + 0*x**2 + 2*x**2)*(12*x + 2*x - x).
26*x**3 + 117*x
Expand (0*h + 0*h + 2*h)*(156*h - 173*h - 227*h + (3 + 2*h - 3)*(4 - 1 - 2)).
-484*h**2
Expand (f - f - 3*f)*(-37 + 21 - 55).
213*f
Expand (-460*n**3 - 218*n**3 - 66*n**3)*(-2*n**2 + n**2 + 2*n**2 + n**2 - 3*n**2 + n**2 + (0 + 0 + 2*n)*(-2*n + 6*n - 3*n) + 5*n**2 - n**2 - 2*n**2).
-2976*n**5
Expand -4 + 4 - p**4 + (-2*p + 2*p - p**3)*(3 + 2*p - 3)*(1 - 1 - 2)*(31 + 15 - 76).
-121*p**4
Expand (-3 + 6 - 4)*(5 - 2 - 1)*(-3*a + 5*a + 7*a)*(2*a - 2*a**2 + a**2 + 3*a**2).
-36*a**3 - 36*a**2
Expand 2 - 2*r**2 - 2 + (3 + 0 - 1)*(1 - 2*r**2 - 1) + 0*r**2 - 6*r**2 + 4*r**2 + (4*r - 2*r**2 - 4*r)*(1358 - 294 + 656).
-3448*r**2
Expand (-5*c**5 + 3*c**5 + 0*c**5)*(0 + 0 - 1) + 17*c**2 - 18*c**2 + 2*c**3 - 21*c**5 + 23*c**5 - 3*c**5 + c**5 + 4*c**5.
6*c**5 + 2*c**3 - c**2
Expand (5 + 1 - 3)*(2 + 5 - 5)*(-h**3 + h**3 - 2*h**3).
-12*h**3
Expand (-2*p**3 - 9*p**3 + 18*p**3)*(-3 + 3 + 2)*(16*p + 2*p**2 - 16*p).
28*p**5
Expand (331 - 169*r - 331)*(-3 + 1 + 3) + 0*r - 4*r + 3*r.
-170*r
Expand (5 - 4 - 2)*(0*g + g + 0*g) + (3*g + 0*g - 5*g)*(2 + 3 - 4) - 59*g + 33*g - 53*g.
-82*g
Expand (-5 + 3 - 5)*(-1 + 5 - 8*g**4 + 4*g**4).
28*g**4 - 28
Expand (-119*i - 5*i**2 + 119*i)*((3 - 2 + 0)*(2 - 2*i - 2) - 118*i - 205*i + 111*i).
1070*i**3
Expand (-14*c - 26*c - 24*c)*(-2 - 1 + 2) + (-2 - 3 + 6)*(0 + c + 0).
65*c
Expand -5*j**4 + 2*j**4 + j**4 + (-3*j + 2*j + 2*j)*(-3*j - 1 + 1)*(2*j**2 + 0*j**2 - 4*j**2).
4*j**4
Expand (0 + 3 - 4)*(269 + 267*i - 269).
-267*i
Expand (-3 + 3*g + 3 + 2)*(1 - 1 + 5*g**2).
15*g**3 + 10*g**2
Expand ((0 + 0 - 2*s)*(-s + s + s) - 2*s**2 + 0*s**2 + 0*s**2 - 4*s**2 + s**2 + 5*s**2)*(4*s - 2*s**2 - 4*s)*(8*s - 4*s + 17*s) + 15*s - 15*s + 11*s**5.
95*s**5
Expand (-1 - 4 + 2)*(30 + 8 + 1)*(-5*u**3 + 0*u**3 + 4*u**3).
117*u**3
Expand (2*z**2 + z**2 + 0*z**2)*(7*z - 3*z - 3*z)*(-2*z + z - z + (-4 + 3 + 11)*(0*z + 4*z - z))*(-5 + 1 + 3).
-84*z**4
Expand (3*r**2 - 3*r**2 + 2*r**2)*(r**2 + 4*r - 4*r) - 38240 + 19116 + 19124 + 1833*r**4.
1835*r**4
Expand (-a + 3*a + 0*a)*(-1 - 2 + 0)*(-176 - 15*a**3 + 176).
90*a**4
Expand (63*d - 26 + 26 - 588*d - 939*d)*(4*d - 4*d - 4*d).
5856*d**2
Expand -4*r + 1 - 1 + (5 - 2 + 6)*(-2 + 2 - 4*r).
-40*r
Expand -1 + 1 - h + (-h + 0 + 0)*(2 - 1 - 3) + (-6 - 8 + 5)*(-h - h - h).
28*h
Expand 8*t**2 + 17 - 17 + (0 + 0 + 2*t)*(6*t - t - t) + 2*t + t**2 - 2*t - 6*t**2 - 3*t**2 + 5*t**2.
13*t**2
Expand 45*z**2 + 104 - 103 + 24*z**2 + (-2*z**2 + 0*z**2 + 3*z**2)*(-2 + 2 + 1).
70*z**2 + 1
Expand (-16*u**4 - 2*u**2 + 2*u**2 + 211*u**4)*(-7 - 2*u + 7) + u**5 + 2*u**2 - 2*u**2.
-389*u**5
Expand (2331*t**2 + 97 - 90 - 2547*t**2)*(2*t**3 + 3*t - 3*t).
-432*t**5 + 14*t**3
Expand (-4 - 15 - 5)*(0*v - 3*v + v) + 1 - 2*v - 1 + (-4 + 2 + 3)*(2*v + 2*v - 5*v).
45*v
Expand (-4*w**3 - 15*w**3 - 5*w**3)*(8*w + 9*w + 0*w).
-408*w**4
Expand (b**2 - 2 + 2)*(1 - 3 + 3) + 17 - 5*b**2 - 17 - 2*b + 8*b**2 + 5*b - 3*b.
4*b**2
Expand (2*h + 0 + 0)*(-5*h + 2*h + 2*h) + 3*h - 3*h + 3*h**2 + 10*h**2 - 302 + 302 - 2*h**2 + 4*h - 4*h + (2*h - 2*h - 2*h)*(-5 + 5 + h) - h**2 + h**2 - h**2.
6*h**2
Expand (-4*y + 2*y**3 - y**3 + 5*y)*(-13 + 6 + 9).
2*y**3 + 2*y
Expand -z**3 + 0*z**2 + 0*z**2 + (z + 12*z + 33*z)*(3 - 3*z - 3)*(2*z + z + 0*z).
-415*z**3
Expand (i - 2 + 2 + (5 - 3 - 1)*(-i - i - 3*i))*(-6*i - 4*i + 6*i).
16*i**2
Expand (0*l + 2*l - l)*(-721*l**2 + 1521*l**2 - 553*l**2)*(4 - 4 + l**2).
247*l**5
Expand (-6*j**3 + 3*j**3 + 4*j**3)*(4*j + 4*j + 66*j) + 5*j**4 - 5*j**4 - 2*j**4.
72*j**4
Expand (0 + 3 + 7)*(0 + 9 - 2)*(0*f + 4*f + 0*f).
280*f
Expand (-272 + 272 - 54*k)*(k**4 - 2 + 5*k**2 - 5*k**2).
-54*k**5 + 108*k
Expand -m**3 + 5*m**3 - 2*m**3 - 2*m**2 + 2*m**2 - m**3 + (-3 + 3 + 2*m**2)*(-1 + m + 1) + m**2 + 2*m**3 - m**2 - 7*m**3 - 16*m**3 + m**3.
-17*m**3
Expand (11456*j - 11456*j - 403*j**3)*(-2*j - j + j).
806*j**4
Expand -h**2 + h**2 + 2*h**2 + (-15 - 10 + 7)*(-h + h - 2*h)*(0 - h + 0).
-34*h**2
Expand -2*s**4 + 2*s**4 - s**4 + (-s**3 + 2*s**2 - 2*s**2)*(-7*s + 2*s + 2*s) + s**4 + 2*s**4 - 2*s**4.
3*s**4
Expand (21 - 7 + 7)*(0*o - 3*o + o)*((2 + o - 2)*(-1 + 1 - 1) + 2 - 2 - o + o - 3*o + 0*o - 2*o - o + 2*o + (2*o + 0*o - o)*(-2 - 3 + 4)).
252*o**2
Expand 0 + 0 - 2*w + (-4 - 3 + 4)*(-w + 4*w - 2*w) + (17 - 17 + 7*w)*(0 - 2 + 1) + (-3 + 0 + 1)*(w - 4*w + 2*w)*(-1 + 3 - 3) + 4*w - 3*w + 0*w.
-13*w
Expand -3*s**4 - 4*s**3 + 4*s**3 + (36*s**2 - 303*s + 303*s)*(s**2 - 3*s**2 + 4*s**2).
69*s**4
Expand (-4 + 1 + 2)*(-211 - 24*d + 211) + (0 + 0 + 1)*(5 - 2 + 0)*(1 - 1 - 2*d).
18*d
Expand ((3*z - 5*z + 3*z)*(4*z - 4*z + 2*z) - 4*z**2 - z**2 - z**2)*(z + 4*z - 3*z)*(0 + 4 - 1).
-24*z**3
Expand (3*p**2 - p**2 + 0*p**2)*(6 - 4 + 2)*(-55 - 147 + 92).
-880*p**2
Expand (-3*n + 0*n + 2*n)*(-435377*n + 435377*n - 1231*n**2).
1231*n**3
Expand (0*k**2 + 12*k**2 - 3*k**2)*(-2*k**2 - 2 + 2) + (k - 2*k + 3*k)*(-k**3 + 0*k**3 + 0*k**3).
-20*k**4
Expand (-2 + 2 - 1)*(-5 + 5 + b**2) - 33*b**2 + 7*b**2 - 14*b**2.
-41*b**2
Expand (-c**2 + c**2 + 2*c**2)*(49*c**3 - 406 - 51*c**3 - 533).
-4*c**5 - 1878*c**2
Expand (4*b - 3*b - 2*b)*(5*b + 6 - 6)*(-2*b + 3*b + 0*b)*(-1 + 1 - 3).
15*b**3
Expand 5*g**2 + 26*g**4 - 5*g**2 + (3 - g - 3)*(-8*g**3 + 3*g**3 + 3*g**3) + g**4 + 2 - 2 + 3 - 3 - 3*g**4 + g**4 - g**4 + 2*g**4.
28*g**4
Expand (-p + 0*p - p)*(-5*p**3 + 9*p**3 + 5*p**3) + 2*p + 2*p**4 - 2*p + 12*p**2 - 12*p**2 - p**4.
-17*p**4
Expand (10*m + 18*m + 0*m)*(-2 + 4*m - 2*m - m)*(-2*m - 3*m + 4*m).
-28*m**3 + 56*m**2
Expand (-2*o + 5*o - 4*o)*(-2 + 2 - o**3) + (-2*o + 48 - 48)*(o**2 - 3*o**3 - o**2) - 5*o**4 + 6*o**4 - 2*o**4.
6*o**4
Expand (-2*x - 2 - 3*x + 4*x)*(-9*x + 17*x - 15*x).
7*x**2 + 14*x
Expand -184728 + 184728 + 2178*x + (-5*x - x + 4*x)*(3 + 3 - 4).
2174*x
Expand -n**2 + 9*n**4 + n**2 - 3*n**4 - 2 + 2 + (-5*n**2 + 2*n - 2*n)*(5*n**2 - 3*n**2 - 4*n**2).
16*n**4
Expand -2*f**2 + 0*f**2 + 0*f**2 + (-3*f - f + 5*f)*(-2*f - 5*f + 3*f) + 3*f - 3*f - f**2 + (1 - 1 - f)*(-5*f + 0*f + 3*f).
-5*f**2
Expand (2 - 4 + 3)*(6*m - 2*m - 2*m) + 2 - 3*m - 2 - 3*m - m + 3*m + (39 + 52 - 68)*(4*m - 6*m + 0*m).
-48*m
Expand -26*t + 6*t - 12*t + 2*t - 2*t + t + (0 + 0 - 2)*(5 - 5 + t).
-33*t
Expand (2*j**3 - 2*j**3 - 2*j**3 + 2)*(4*j**2 + 2*j**2 - 3*j**2).
-6*j**5 + 6*j**2
Expand (-5 + 0 + 2)*(2*l + 3*l - 4*l) + 39*l - 24*l + 34*l.
46*l
Expand (-2*j + 4*j - j)*(4*j - 2*j + 0*j) + 7 + 3*j**2 - 7 - 4*j**2 + 2*j**2 + 0*j**2 - 15*j**2 - 13*j**2 + 2*j**2.
-23*j**2
Expand (-4 + 1 + 1 + (-2 + 0 + 0)*(-2 + 1 + 2) + (-2 + 2 + 4)*(-2 + 2 + 2) + 5 - 2 - 1)*(-11*a + a - 7*a).
-102*a
Expand (0*d - 4*d - 3*d)*(2 - 32 + 7).
161*d
Expand -w**3 - 4*w + 4*w + (-5*w + 5*w + 2*w)*(2*w**2 + 4*w - 4*w) + (39188 + 34*w - 39188)*(w**2 + 0*w**2 - 2*w**2).
-31*w**3
Expand 3*r**5 + r**5 - 2*r**5 + (-5*r**2 - 2*r**2 + 4*r**2)*(2*r**3 - 2*r**3 + 2*r**3) - 10*r**5 - 7*r**5 - 9*r**5.
-30*r**5
Expand (-2*d**2 - d**2 + d**2)*(226*d + 4 - 118*d - 112*d).
8*d**3 - 8*d**2
Expand -7*l**4 + 3*l**4 + 3*l**4 + (l + 5*l - 4*l)*(-2*l**3 - 1 + 1) - 257*l**2 + 984*l**4 - 985*l**4 - 65*l**2.
-6*l**4 - 322*l**2
Expand (16 - 7 + 20)*(0*q + 2*q - 4*q)*(13*q**3 - 7*q**3 + 7*q**3) - 5*q**4 + 2*q**4 + q**4.
-756*q**4
Expand 5*l**2 - 3*l**2 - l**2 - 2*l**2 + l**2 - l**2 + (-2*l + 1 - 1)*(-2*l + 2 - 2) + 6*l**2 + 402 - 402.
9*l**2
Expand (-4*j + 6*j - 55 - 7*j)*(7*j**4 - 2*j**4 - 2*j**4).
-15*j**5 - 165*j**4
Expand (5*l + 4*l + 6*l + (-3*l + 2*l - l)*(-1 + 5 - 3))*(-37 + 12 + 20).
-65*l
Expand (2*b**2 + 4 - 4)*(-14 - 1 + 0) + (3*b - 5*b + b)*(-b + b + b).
-31*b**2
Expand (-2 + 7 + 12)*(17 - 4*s + 5*s - 3*s).
-34*s + 289
Expand 3 - 3 + g + 5*g - 7*g - 4*g - 2 + 2 + 2*g + (0*g + 4*g - 2*g)*(2 - 2 + 1).
-g
Expand (r**3 - 5 + 5)*(2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
) to i*n + t and give i.
46
Rearrange (-3 + 3 - 2)*(2*f**2 + 2*f**2 - f**2) - 2*f**2 + 4 + 65*f - 65*f to the form j*f + c + l*f**2 and give j.
0
Express 214*f**2 + 2*f - 88*f**2 - 2*f in the form c*f**2 + k + d*f and give c.
126
Rearrange (-147*a + 5 + 82*a + 71*a)*(-3*a + a + 4*a) to the form p + u*a + v*a**2 and give u.
10
Express ((-6*m - 4*m + 3*m)*(0 - 5 - 5) + (-5 + 3 + 0)*(m + m - 4*m) - 4*m + 3*m - m + 2*m - 3*m + 2*m)*(80 + 79 - 158) as r + z*m and give z.
73
Rearrange -396 + 2*w + 4*w**2 + 396 to k*w + a + p*w**2 and give k.
2
Rearrange l + l - 13*l**2 - 36*l**2 + 8*l to the form z*l + c + o*l**2 and give o.
-49
Express -21 + 21 + 7*u**2 + 28*u**2 - 2*u in the form r*u**2 + k + l*u and give l.
-2
Rearrange (0*s**2 + 2*s - 5*s**2 + 3*s**2)*(23 - 16 + 8)*(3*s - 3*s - 3*s**2) to o*s**4 + b*s**2 + q*s + f + x*s**3 and give x.
-90
Rearrange (-8 - 15 + 14)*(96*f**2 + 683 - 683) to the form q*f**2 + b + k*f and give q.
-864
Express -2732*t - 490*t - 113*t + 1384*t in the form m*t + x and give m.
-1951
Rearrange 2*r**4 - 2 + 15*r**3 - 6*r**3 - 2*r**2 - 8*r**3 - r + 4 + 2*r**4 to l*r + k*r**4 + x*r**2 + y*r**3 + a and give k.
4
Express 38897*r**2 - 38897*r**2 - 1 + 5*r + 6 - 4 + r**4 + r**3 in the form p*r + o*r**3 + i + m*r**2 + n*r**4 and give o.
1
Express 10*s**3 + s**2 - 46 - 5*s**2 + s**2 - 8*s**3 in the form k*s**2 + l + n*s + o*s**3 and give o.
2
Rearrange (112 + 13 - 16)*(-3 + 3 - 1)*(-2 + 2 - d) to the form n*d + o and give n.
109
Express -14*y + 10*y + 3*y**4 - y**2 - 2*y**3 + 3*y + 49*y**4 as s*y + v*y**4 + b*y**2 + c*y**3 + i and give b.
-1
Rearrange (-y + 8 - 8)*(-4*y + 0*y + y)*(-2 + 1 - 1)*(-11 + 10*y**2 + 11) to the form z + u*y**4 + g*y**3 + k*y**2 + i*y and give z.
0
Rearrange (3 - 5 + 0)*(0*i + 25*i - 2*i)*(4 - 3 + 3)*(-1 + 1 + 5) to r*i + o and give o.
0
Express 6*j**2 + 2*j**2 - j**2 + ((-5*j**2 + 0*j**2 + 3*j**2)*(-4 + 5 + 3) - 3*j**2 - 3 + 3)*(2 + 2 - 5) in the form g*j + p*j**2 + o and give o.
0
Rearrange (-2 + 3 - 3)*(-4 + 4 + 3*c) + 5*c - 52*c - 32*c to l*c + b and give l.
-85
Rearrange -3*i**4 + 0*i + 6 + 6 - 10 + 3*i - i**3 to the form m*i**3 + f*i**2 + j*i + v*i**4 + o and give v.
-3
Express 34*v**2 - 4*v**3 + 2*v - 2*v**4 + 0*v - 32*v**2 + v**3 as w*v**3 + z*v**2 + n*v + j + l*v**4 and give n.
2
Rearrange -3*p**2 + 0 - p**3 + 61*p**4 + 0 - 120887*p + 120889*p to the form g*p**2 + i*p + x*p**4 + y*p**3 + q and give i.
2
Rearrange (64*z + 64*z - 118*z)*(z - 1 + 1 - 3) to the form s + n*z**2 + u*z and give s.
0
Rearrange (5 - 6 + 5)*(-3 + 0 + 0)*(3 - 1 - 3)*(8*y - 2*y + 15*y) to the form f + k*y and give k.
252
Express (2*q**3 + 4*q**3 - 4*q**3 + (-2*q - 1 + 1)*(0*q**2 - 2*q**2 + 0*q**2))*(-12*q - 57*q + 2*q) in the form y*q**3 + f*q + s + v*q**2 + x*q**4 and give x.
-402
Rearrange -107 + 47*z**3 + 107 - 2*z**3 + 7*z**3 - 3*z**3 + (-2 - 3 + 6)*(0*z**3 + 3*z**3 - z**3) to the form x*z**3 + c*z + j + u*z**2 and give x.
51
Rearrange -246*y**3 + 20*y**2 - 3*y**2 + 250*y**3 to the form k*y**3 + w*y + h + p*y**2 and give p.
17
Express (3*w**3 + 3*w**3 - 5*w**3)*(129 - 7*w + 4*w + 0*w) as y*w**4 + l*w**3 + i*w**2 + g*w + t and give l.
129
Express (2*g + 3*g - 3*g)*(-9475 - 3*g + 9482 + 23*g) in the form y*g**2 + q + j*g and give y.
40
Rearrange -74 - 4*c**2 + 8*c**2 - 6*c**2 + 130 to a*c + l*c**2 + f and give f.
56
Rearrange (-27 + 1 + 58*t - 56*t)*(3 + 3 - 3) to the form w*t + l and give l.
-78
Rearrange -12 - 3*s - 6*s + 9 - 12 to l + h*s and give l.
-15
Express (2*w - 2*w - 2*w**2)*(-18 - 15 + 11) + 0*w**2 - 2*w**2 + w**2 in the form h + g*w + c*w**2 and give c.
43
Express -65*h + 0 + 0 - 464*h + 99*h in the form o*h + t and give o.
-430
Express (27 - 4 + 7)*(-22*u - 12*u**3 + 9*u**3 + 5*u**3) as j*u**3 + n + o*u + i*u**2 and give j.
60
Express 4*n**2 + n**2 - 4*n**2 + (2*n + n - 2*n)*(0 + 4 - 6)*(-12 - n + 14 + 2) as z*n + i*n**2 + x and give z.
-8
Rearrange (-4*i**3 + 7*i**3 - 9*i**3)*(132 - 65 + 249) to the form j + k*i**3 + g*i**2 + h*i and give k.
-1896
Rearrange -2*c**2 + 0*c**2 - 2*c**2 + (c + 0*c + c)*(-7*c + 7*c + 11*c) + (5 + 6*c**2 - 5)*(0 - 1 + 3) to x*c + i + w*c**2 and give w.
30
Rearrange -36 - 2*x**3 - 2*x**3 + 10*x + 3*x**3 - 27*x + 14*x to the form z*x + b*x**2 + j*x**3 + u and give u.
-36
Rearrange -642*r - 2*r**4 + r**4 - 5*r**3 + 3*r**2 + 641*r to s + b*r + z*r**3 + w*r**2 + v*r**4 and give b.
-1
Express (5*y**4 + 5*y**4 + 8*y**4)*(-12 - 17 + 19) in the form r*y**2 + m + t*y**3 + q*y**4 + o*y and give o.
0
Rearrange 0*h - 2*h + 4*h + (-h + h + h)*(0 + 1 + 0) + (3 - 3 + 2)*(4*h + 2 - 2) + 4*h - h - 4*h + (3 + 4 - 4)*(1 - 1 - 4*h) to the form i + l*h and give l.
-2
Express 3*x**2 + 107*x**3 - 109*x**3 + x - 101*x**4 + 24 + 102*x**4 as p + o*x + f*x**4 + j*x**2 + i*x**3 and give i.
-2
Express (-9 - 3*y + 9)*(37*y + 63*y - 25*y) as a + z*y**2 + j*y and give z.
-225
Rearrange 7 - 21 - 121 + 2*l**3 - 3*l**3 + 0*l**3 to the form s + m*l + h*l**2 + w*l**3 and give w.
-1
Express 3*j**2 - 24*j**3 + 37*j**3 - 19*j**3 - 6*j as i*j**2 + n*j + u*j**3 + g and give n.
-6
Rearrange -2*n**2 - 4*n + 3*n**3 - 95882 + 95883 - 66*n - n**3 to i + c*n**3 + q*n**2 + j*n and give j.
-70
Express -1 - 6*l**3 + 2*l**3 + 0*l + 3*l - 7*l**3 as v*l + n*l**3 + a + z*l**2 and give n.
-11
Express 94*g**2 + 141*g**2 - 278*g**2 - 5*g in the form s + r*g + d*g**2 and give r.
-5
Rearrange (127 - 95 + 148 - 1 + 3 - 1 + (-2 + 3 + 1)*(3 + 2 - 7) - 3 + 1 + 3)*(-l + 2*l + 0*l) to the form o + n*l and give n.
178
Express (0 + 2*a + 0)*(3 + 3 + 0)*(8*a**2 + 2*a**2 + 7*a**2) in the form y*a + h*a**2 + v + u*a**3 and give v.
0
Express (62*z**3 + 2 + 35*z**3 - 75*z**3)*(-4 + 0 + 9) as f*z + a*z**2 + k*z**3 + t and give t.
10
Express (-2*v - 14 + 0*v + 9)*(1 + 2 - 1)*(23*v**3 - 9*v**3 + 15*v**3) as k + o*v + x*v**4 + y*v**3 + l*v**2 and give y.
-290
Rearrange (-1 + 0*l + 7*l - 9*l)*(-4 + 1 + 5)*(2*l + 2*l - 2*l)*(-13 - 4 - 2) to the form g*l**2 + r + b*l and give b.
76
Express -1 + 42*n + 36*n + 2*n + 9*n - 13*n in the form p + d*n and give d.
76
Express (-1 + 0 + 3)*(4*b - 4*b - b**2) + (b + 0 - 2 + 3)*(0*b - 4*b - b) in the form s*b**2 + c*b + j and give c.
-5
Rearrange -2 + 19*z**2 + 20*z**4 - 24*z**4 + 7 to x*z + r*z**4 + w*z**3 + m*z**2 + i and give i.
5
Express -c - 3*c + 3*c + (3 + 1 - 2)*(-3 - c + 3) + 29*c + 95*c + 224*c in the form p*c + r and give p.
345
Rearrange -15*l - 2 + 13*l + 2 - 25*l**2 to the form c + j*l**2 + y*l and give y.
-2
Express 38*l**2 + 2*l - 35*l**2 + 96*l**2 in the form b*l**2 + h + c*l and give b.
99
Express (3 - 6 + 1)*(0*v + 0*v - 2*v) + 3*v + 0*v - v + 5 + 51*v + 41*v - 84*v as u + f*v and give f.
14
Rearrange 60*d**2 - 22*d + 24*d + 29*d**3 - 31*d**3 to the form p*d**3 + w*d**2 + q + j*d and give p.
-2
Express -139*o + 95*o**2 + 139*o + 50*o**2 in the form b*o + f*o**2 + d and give f.
145
Express -101*y - 2103 + 830*y + 2103 as c + w*y and give w.
729
Express 486 + 7*h**2 + 4*h**2 - 493 as r + y*h + t*h**2 and give t.
11
Rearrange ((-1 - 3 + 3)*(-5 + 3*r + 5) + 2*r + 6 - 6)*(-26*r - 22*r + 16*r) to the form o + t*r + s*r**2 and give s.
32
Express (-4*n - 8*n + 3*n)*(1 + 2 - 2)*(-21*n + 46*n - 40*n) in the form z + d*n + f*n**2 and give f.
135
Rearrange (7*v - 3*v + v)*(0*v - v**3 + 0*v) + (-2*v**2 + v - v)*(-71*v**2 - 54*v**2 + 78*v**2) to s*v + w*v**3 + y*v**2 + c + f*v**4 and give f.
89
Rearrange -3*q - 236*q**4 + q + 226*q**4 + 4 - 2*q**3 to t*q**3 + g + o*q + s*q**2 + p*q**4 and give p.
-10
Rearrange (-2 + 2 + 2*b)*(-2*b**3 + b**3 + 2*b**3) + 2*b**4 + b**2 - 12*b - 22*b + 36*b to the form c*b + d*b**2 + r + i*b**3 + n*b**4 and give c.
2
Rearrange ((4*j + 12 - 12)*(2 + 1 - 2) + 3 - j - 3)*((-2*j + j - j)*(-1 - 1 + 0) + 3*j - 1 + 1 - 2 - j + 2) to the form r*j + p + y*j**2 and give y.
18
Rearrange 7318 - 7318 - 92*a**2 to k*a**2 + x + b*a and give k.
-92
Rearrange 336*r - 80*r**2 + 4*r**2 - 337*r to the form u*r**2 + l + d*r and give l.
0
Express 2*v**4 + v**2 + 6 + 0*v - v**4 - 9*v + 11*v - 3 as r*v**4 + d*v**3 + u + n*v + a*v**2 and give u.
3
Rearrange (-3 + 7 + 6)*(-6*q**4 + q**4 + 3*q**4 + (4 - 2*q**2 - 4)*(0 + q**2 - 3*q**2 + 1)) to the form s*q**2 + c*q**4 + u + v*q**3 + d*q and give s.
-20
Rearrange 2*c**2 - 10*c**3 - 4*c**2 + 3 + 2*c + 1 - 43*c**4 + 45*c**4 to n*c + h*c**3 + x*c**4 + o + b*c**2 a | {
"pile_set_name": "DM Mathematics"
} |
ber?
True
Let r = 33 + -20. Suppose 10*j - r*j = -42. Is j a composite number?
True
Suppose 2*i + 3*i = -25. Suppose -g = -4*g + 78. Let o = g + i. Is o composite?
True
Let d be 6/8 - 45/12. Is d/((-9)/(-6)) - -15 prime?
True
Suppose -4*f + 69 + 39 = 0. Suppose v - f = -5*b + 3*b, -25 = -v - 4*b. Let o = v + -8. Is o prime?
False
Let x be 0 - (-2*1 + 1). Suppose 0 = 2*a - x - 3. Is 16 - (8/2 - a) prime?
False
Let m(q) = -59*q**3. Let x be m(-1). Suppose 0*d + x = d. Is d composite?
False
Let y = -490 + 701. Suppose b = -t + 5*t + 184, -b - 5*t = -y. Suppose -4*z = -b - 112. Is z a composite number?
True
Is (2/4)/(6/33468) composite?
False
Let q(b) be the third derivative of 0*b**4 + 0 + 1/60*b**5 + 1/3*b**3 + 2*b**2 + 0*b. Is q(3) composite?
False
Let j be (-6)/(-4) + 185/2. Suppose 0 = w - 2*w - j. Let m = w + 131. Is m prime?
True
Let v(a) = a**3 - 3*a**2 - 19*a + 21. Let z be v(17). Let r = -2467 + z. Is r a composite number?
False
Suppose -5*y = -2*y - 3*t + 45, 0 = 5*t + 5. Let k = y + 67. Is k a composite number?
True
Let j(n) = n**2 + 2*n + 2. Let x be j(-3). Let o = -1 + x. Is o prime?
False
Let k(r) = r**3 + 2*r**2 - 4*r + 1. Suppose 2*j + 1 = -5. Let i be k(j). Suppose -i*g - g + 175 = 0. Is g a composite number?
True
Let g = -79 - -1070. Is g composite?
False
Is ((-424)/(-6))/(14/21) a prime number?
False
Let d(z) = -z**2 + 2*z + 2. Let k be d(0). Suppose -4*h + 154 = k*g, 2*g - 3*h - 139 = -2*h. Is g prime?
True
Is 0 + 4 - (-146 - -1) composite?
False
Let h = 79 - -49. Suppose -3*v + 0*v = -2*q - 270, q - 5*v + h = 0. Let c = -83 - q. Is c a prime number?
False
Suppose -13*b + 10*b + 423 = 0. Is b a composite number?
True
Suppose -2*g = 5*s + 75, 0*s = 2*g + 4*s + 72. Let u = -20 + 5. Let f = u - g. Is f a composite number?
True
Suppose 3*z + 0 = 9. Suppose -3*g + z*x = -9, -g + 3 = -4*x - 6. Let t(k) = 86*k - 1. Is t(g) prime?
False
Let c = -1 + 4. Suppose c*v = 2*v + 1. Is (-6*v)/((-4)/10) composite?
True
Is -46*(-70)/8*6/15 composite?
True
Let q(w) = -369*w - 7. Is q(-4) a composite number?
True
Let r = -26 + 28. Suppose -50 = -r*h - 3*y + 551, 5*y = -4*h + 1197. Is h a composite number?
False
Is (2/(-2))/(3/(-339)) prime?
True
Let n(h) = h**3 - 8*h**2 + 10*h - 2. Let w(q) = -17*q + 17*q + 0*q**2 - 1 + q**2 - 7*q**3. Let z be w(-1). Is n(z) a prime number?
True
Suppose 8 + 0 = 4*n. Let o = n + -7. Is 0 + 16 + (o - -3) prime?
False
Let f(g) = -99*g - 2. Is f(-1) a composite number?
False
Suppose 0*h - h = -4*f + 7, 5*f = -5*h + 15. Is (h/3)/((-1)/(-1893)) a prime number?
True
Is (-2 - (-15)/3) + 12 a composite number?
True
Let a = -7 - -6. Let c be 2 + 40 + a + -1. Suppose 5*x + c = 225. Is x a composite number?
False
Is (13/2)/((-2)/(-188)) a composite number?
True
Let n be (-39)/(-15) + (-4)/(-10). Suppose 0 = -0*c + n*c - 9. Suppose 0 = -0*w + c*w - 177. Is w a composite number?
False
Let j(z) be the third derivative of 59*z**6/120 - z**5/60 + z**4/12 - z**3/6 + 3*z**2. Is j(1) a composite number?
False
Suppose -5*k + 300 = -0*k. Suppose 3*v - h + 65 = -2*h, -4*v - 3*h - 80 = 0. Let b = k + v. Is b a prime number?
True
Let o = 3 - 0. Suppose -o*t = -0*t - 9. Is t prime?
True
Let r(n) = -n**3 - n + 2. Let l be r(0). Let a = -114 - -188. Suppose -l*c = 5*k - 349 - 106, -3*c = -k + a. Is k a prime number?
True
Is (19/(-2))/((-1)/118) prime?
False
Let z = 787 - 405. Suppose b + b - z = 0. Is b composite?
False
Let m(z) = 260*z - 31. Is m(9) a composite number?
False
Let q(s) = -147*s - 29. Is q(-12) composite?
True
Suppose -9 = -5*v - 3*t, -3*v = -2*v - 3*t + 9. Suppose 0 = 4*o - 4*q - 102 - 54, -142 = -3*o - 2*q. Suppose -w - w + o = v. Is w a composite number?
True
Suppose 0 = 6*v - 3*v - 21. Let u(n) = -11*n + 19. Let m(h) = -17*h + 28. Let f(x) = -5*m(x) + 7*u(x). Is f(v) a prime number?
False
Let q(b) = b**3 + 7*b - 7. Is q(6) prime?
True
Suppose -9*l + 442 = -7*l. Is l a composite number?
True
Let z(o) = o**3 + 10*o**2 - 12*o - 10. Let v be z(-11). Is 20 + (0 - (2 - v)) composite?
False
Suppose -5*b + 5*p + 19 = p, -3*p = b. Suppose -4*n - 152 = n - h, -b*n = 5*h + 108. Let d = n - -56. Is d composite?
True
Let g(t) = -3*t + 2. Let z be g(-7). Suppose -s = -4*a + 28, 0*s - 3*a = -s - z. Let i = 14 + s. Is i composite?
True
Let t be 3/(1 - 2/5). Suppose -9 = -t*l + 11. Is l composite?
True
Let t(h) be the second derivative of -h**5/20 + 5*h**4/12 + 2*h**2 + h. Let z be t(4). Suppose q = -n + 11, 2*n + 6*q = 3*q + z. Is n prime?
True
Suppose -d = -3*t - 14, 0 = 3*d + 2*t - 0 + 2. Suppose 0 = -d*r + 10, 162 = k + 2*r - r. Is k composite?
False
Suppose -35 = -4*r - r - 5*a, 2 = -2*r + 2*a. Suppose 2*l - r*l + 13 = 0. Is l a composite number?
False
Let h(f) = 103*f**2 + 8*f + 4. Is h(-3) a composite number?
False
Suppose f + 3*o - 2 = 0, 2*o = -4*f + 3*o - 18. Let s = f + 37. Is s a prime number?
False
Let q(f) = 111*f + 3. Let o be q(2). Suppose -4*w + o + 43 = 0. Is w a composite number?
False
Let x = -16 - -37. Is x prime?
False
Is (-120)/6*((-78)/8 + 2) composite?
True
Let u be 1/(-3) + (-40)/(-12). Let y(h) = -2*h**2 + 2 + 3*h + 13*h**2 + 0*h - 5*h. Is y(u) a prime number?
False
Suppose 0 = 4*h + h - 35. Let d(u) = -1 - h - u**2 - 1 - 8*u. Is d(-6) a composite number?
False
Is (140/(-6))/(4/(-6)) prime?
False
Let p(u) = -166*u - 4. Let m be p(-2). Let o = m + 261. Is o composite?
True
Let p = -948 - -1915. Is p a prime number?
True
Let d(i) = i**2 - 7*i. Let t be d(6). Let a be 1/(-2) + t/4. Is -6 - -3 - a - -23 prime?
False
Let r be (2 - 4/2)/1. Suppose r = -d + 5*n + 32, n = -5*d - 2*n + 188. Is d prime?
True
Let g(t) = -t**2 + 2*t - 1. Let x be g(4). Let p be 2/3 + (-12)/x. Suppose -4*c - 3*s + 175 = 0, -2*c - p*s = 2*c - 174. Is c prime?
True
Let f = 1 - -2. Suppose 93 = 5*a + f*u + u, -2*a - 4*u = -30. Is a composite?
True
Suppose -3*w + 215 = 2*w - 2*x, -w = -x - 46. Suppose 0 = -u + w + 38. Is u composite?
False
Let s(u) = -4*u**3 + 4*u**2 - 13*u + 15. Let b(z) = 2*z**3 - 2*z**2 + 7*z - 8. Let y(w) = 5*b(w) + 3*s(w). Is y(-6) prime?
False
Let a be (-4 + 3)*-13 - 1. Suppose -a = -4*d + 88. Is d a prime number?
False
Suppose 4*b - 420 = -4*r, 43 = r + 5*b - 74. Suppose j = -j + 4*y + r, -2*y + 145 = 3*j. Is j composite?
True
Suppose 0 = -3*c - 3*c + 4854. Is c composite?
False
Let b = 180 + -101. Is b composite?
False
Suppose 4*m = -2*q + 4*q + 996, m - 249 = 4*q. Suppose -2*i = -5*i + m. Is i composite?
False
Let w be (6/9)/((-2)/(-15)). Suppose 5 = -w*q - 3*j + 7*j, q = -4*j + 23. Is q a composite number?
False
Suppose -5*k - 1247 = -6*k - 4*c, -k - 3*c = -1247. Is k composite?
True
Let v be (-17)/(-3) - (-10)/(-15). Suppose v*z + k - 160 + 40 = 0, 0 = 4*z - 4*k - 72. Is z composite?
False
Let k be (69 + -3 + 3)/1. Let l = k - 111. Let j = 17 - l. Is j a composite number?
False
Let k(v) = 5*v**3 - 8*v**2 - 5*v + 9. Let o be k(7). Is o/7 - (-14)/(-49) a prime number?
False
Suppose -2118 = 9*q - 11*q. Is q a prime number?
False
Suppose 0 = 2*m - 3*m + 6. Let r(c) = c**3 - 5*c**2 + 4*c - 5. Is r(m) a prime number?
False
Let c be 1/(0 + 1/(-3)). Let z(b) = 7*b**2 - 2*b - 4. Is z(c) prime?
False
Suppose 10*o - 5*o - 1185 = 0. Is o composite?
True
Suppose 3*c + 2*g = 747, -2*c - 80 = -3*g - 565. Suppose 461 = 5*d - 4*l, -d + c = 2*d + 5*l. Is d a prime number?
True
Let s(m) = -m**2 + 31. Suppose 0 = t - 3. Let y be (t + -1 + -2)/(-2). Is s(y) a prime number?
True
Let z(n) = n**3 + 38*n**2 + 37*n - 61. Is z(-31) composite?
False
Suppose 2*k + 4*y - 10 = 0, 5 = k - 4*y + y. Let h(p) = -4*p + 7. Let a be h(-5). Suppose 122 = k*i + a. Is i composite?
False
Let o(w) be the second derivative of w**4/6 + w**3/3 - w**2/2 + 7*w. Is o(7) a prime number?
False
Let g(u) = -u + 1. Let q be g(5). Let c(t) = -t**2 - 11*t - 5. Let h be c(q). Suppose 0 = a - 0*a - h. Is a prime?
True
Suppose 2*u + 4 = -f + 6*u, u = -5*f + 1. Suppose r + 4*a - 18 = f, 6*a + 9 = 3*r + 3*a. Is r prime?
False
Let s = 14 - 10. Suppose 2*g + 5*z + 455 = 5*g, s*g - 584 = z. Is g composite?
True
Is (8076/(-36))/((-1)/3) a composite number?
False
Is (721/(-3))/((-20)/60) a composite number?
True
Let m(p) = 162*p**2 - 1. Let k = -16 - -17. Is m(k) composite?
True
Let i(u) = u**2 - u + 1. Let c(t) = t**3 - t**2 + 7*t - 2. Let m(n) = -c(n) - 4*i(n). Let y be m(-2) | {
"pile_set_name": "DM Mathematics"
} |
+ 0)*(1 + 9 - 3)*(2 - 3 + 3) - w**3 + w**3 + w**3.
141*w**3
Expand (6 - 6 + 3*s**2)*(0*s - s + 2*s) + 26*s**3 - 48*s**2 + 48*s**2.
29*s**3
Expand (1 - 3*l - 1)*(-5 + 1 + 3) + 1 - 1 - 2*l + (4 + 1 - 1)*(-18*l - 16*l + 31*l).
-11*l
Expand t**4 + 9*t**4 + 13*t**4 + (0*t**3 + t**3 - 2*t**3)*(2*t - 2*t + t) + (-t + t - t**2)*(0*t + 0*t + t**2).
21*t**4
Expand (-5*o**2 + o**2 + 3*o**2)*(-2 + 1 - 1)*(3 - 10 - 16)*(-3*o - 2 + 2)*(6*o - 3*o - 2*o).
138*o**4
Expand (-6 + 5 - j**3 - 4)*(-2*j**2 + 20 - 20).
2*j**5 + 10*j**2
Expand (4*z - z - 2*z)*(-3 + 3 - z**3)*(2*z - 2*z - z) - 4*z + 6*z**5 + 4*z + (6 + z**2 - 6)*(-4*z**3 + 0*z**3 + z**3).
4*z**5
Expand (57*k**3 + 351*k - 351*k)*(1 - 1 + 3)*(-2*k + k + 0*k).
-171*k**4
Expand (-2*h**2 + 0*h**2 + 0*h**2 + (-h + 2 - 2)*(-2*h + 3*h - 2*h))*(-168*h**2 + 25 - 13 - 10 - h).
168*h**4 + h**3 - 2*h**2
Expand (-2*g + 2*g + 2*g)*(0*g**3 + 0*g**3 - g**3) + 3*g**4 - 5*g**4 + 3*g**4 - 2 + 2 + 3*g**4 + (-3 + 3 - 3*g**2)*(0*g + 0*g - g**2) + 4 - 4 - 2*g**4.
3*g**4
Expand (-25*q**2 - 18 + 18)*(-3 + 1 + 4) - 6*q**2 + q**2 + 4*q**2 + (4*q**2 - q**2 - 2*q**2)*(-1 + 6 - 4).
-50*q**2
Expand (-3*q**2 + 4*q**2 + 0*q**2)*(q**2 + 0 + 0)*(-6 + 31*q + 40*q + 3).
71*q**5 - 3*q**4
Expand (-8 + 12 + 2)*((-4*j - 2*j + 4*j)*(j - j**2 - j) + 2*j**2 + 0*j**2 - 7*j**3 + 14*j**3).
54*j**3 + 12*j**2
Expand (-2*w + 5*w - w)*(-25 + 13*w + 12 + 6) - w**2 + 3*w - 3*w.
25*w**2 - 14*w
Expand (0 - 32 + 12)*(-6*g + 6*g - 4*g**2 - g).
80*g**2 + 20*g
Expand (14*s**2 - s**2 + 29*s**2 + (4*s - 5*s - s)*(-3*s + 3*s - 2*s))*(2 - 5 + 1).
-92*s**2
Expand s**4 + 0*s**4 - 3*s**4 + (2*s - 1 + 1)*(-3*s**2 - 12*s**2 + 4*s**2)*(3 - 4*s - 3).
86*s**4
Expand (-3*m**2 - 9*m**2 + 2*m**2 + (m + m - m)*(-2*m + 1 - 1) + 2 - 2 - 2*m**2)*(5*m**2 - 38*m**2 + 12*m**2).
294*m**4
Expand (-4 + x + 39 + 35)*(-2*x**3 + x**3 + 4*x**3).
3*x**4 + 210*x**3
Expand (1 - 2 + 2)*(y**3 - 200*y + 48 + 200*y) + (y**3 + 2*y**3 + 0*y**3)*(4 - 5 + 0).
-2*y**3 + 48
Expand 3 - x**4 - 3 + (-3*x**3 + 4*x**3 - 3*x**3)*(x - x - x) - 5*x**4 + 5*x**4 + x**4 - x**4 + 55*x - 21*x - 21*x + 12*x**4 + 12*x**4 - 7*x**4.
18*x**4 + 13*x
Expand (-141*b + 144 - 144)*(2 - 3 + 3).
-282*b
Expand -3*z + 3*z + 2*z**4 + (-4 + 0 + 2)*(-z**4 - 10*z**4 - 2*z**4).
28*z**4
Expand (0 + 0*d**2 + 1 + 5*d**2)*(3*d + 12*d - 2*d) - d**3 - d**2 + d**2 + (1 - 1 - d**2)*(d - 2*d + 0*d) + 0*d**3 + 0*d**3 + d**3 - 6*d**3 + 4*d**3 + 3*d**3.
67*d**3 + 13*d
Expand (g**2 - 6*g + 4*g + g)*(10 + 17 - 31 + 42*g).
42*g**3 - 46*g**2 + 4*g
Expand (-7*t + 17 - 17)*(5 - 4 - 3).
14*t
Expand (-g + 4*g - g)*(2*g**2 + g**4 - 2*g**2) + 14*g**5 + 61*g**5 + 18*g**5 + 3*g**3 - 3*g**3 + 2*g**5.
97*g**5
Expand -1586 + 1586 - 49*d**5 + (-2*d + 2*d - d)*(0*d**4 + 0*d**4 + d**4).
-50*d**5
Expand (93*p**2 - 633*p**3 - 93*p**2)*(2*p - 3*p - p).
1266*p**4
Expand (57*u + 47*u**3 - 57*u + (-3*u + 3 - 3 + (-3*u + 4*u + u)*(-1 + 0 - 2))*(-2*u + 2*u - 2*u**2))*(-u + 0*u + 0*u).
-65*u**4
Expand 268*o**3 - 257*o**3 + 417*o**3 + 3*o**3 - 5*o**3 + 3*o**3 + (o - o - 2*o)*(-3*o + 2*o**2 + 3*o).
425*o**3
Expand (-20*y**3 + 74*y**3 + 7265 - 7266)*(-3 - 4 + 5).
-108*y**3 + 2
Expand 3*y - 3*y + 4*y**2 + (-2*y + 7*y - 3*y)*(2*y - 3*y + 2*y) + (-y + 0*y + 3*y)*(y - 4*y + 5*y).
10*y**2
Expand (0*n**2 + 0*n**2 + n**2)*(1 - 5 + 3)*(-6 - 3*n + 6) + 3*n**2 - 5*n**3 - 3*n**2.
-2*n**3
Expand (0 - 2*t + 0)*(1584*t - 795*t - 793*t)*(-t - t + 3*t).
8*t**3
Expand 4*j**2 - 2*j**2 - j**2 + (5 - 5 + 10*j)*(1 + j - 1) - 7*j - 4*j**2 + 7*j.
7*j**2
Expand (-2*v**2 - v**2 + 4*v**2)*(2 + 3 + 4)*(2 + 7 + 1 + (-1 + 2 - 3)*(-1 + 2 + 1)).
54*v**2
Expand (-4 - 2 + 3)*(6*g**2 + 3*g**3 - 6*g**2) + (2 - 3 - 1)*(-3*g**3 + g**3 + 3*g**3) + 0*g + 2*g**3 + 0*g.
-9*g**3
Expand (3 - 3 + 1 - 5 + 2 + 1 - 1 + 6 - 3 + (-1 + 1 - 1)*(2 - 6 + 3) + 2 - 2 - 1 - 1 + 2 - 3)*(50*i - 50*i + 6*i**3).
-6*i**3
Expand f - 4*f + 4*f + 5 + 2*f - 5 + 5*f + f - 5*f - 2*f + 2*f - f + (4 - 3 - 3)*(-3 - 2*f + 3) + 4 - 4 - 2*f - 117*f + 46*f - 116*f.
-182*f
Expand (w**2 + 5*w - 6*w + 8*w)*(5*w - 24*w - 58*w).
-77*w**3 - 539*w**2
Expand (a - 2*a**2 - 4 + 4)*(-7*a - 5*a + a) + 7*a**3 + 8*a**3 + 4*a**3.
41*a**3 - 11*a**2
Expand (-2*d + 2*d - 3*d)*(-154 + 125 + 90).
-183*d
Expand (1 - 3 - 1)*(6*b**3 - 6*b**3 - 12*b**3) + (-2*b + 4 - 4)*(-2*b**2 - 2*b**2 - 2*b**2).
48*b**3
Expand -3*s - s**2 + 10*s + 0*s**2 + (-2*s + 0*s + 0*s)*(-5*s - 3*s + 3*s) - 3*s**2 + 2*s**2 + 0*s**2.
8*s**2 + 7*s
Expand (3*b**2 - 2*b**2 + 2*b**2)*(-29*b - 9*b**2 + 29*b) + (-6*b + 4*b + b**2 - b)*(-b**2 + 3*b**2 - b**2).
-26*b**4 - 3*b**3
Expand n**3 - 3 + 3 + (-2*n + 0*n - 3*n)*(-5*n**2 - 2*n**2 + 2*n**2) + 6*n**3 - 5*n**3 + 2*n**3.
29*n**3
Expand (5*s - 5*s - 3*s**2)*(-6*s**2 - s**2 + 3*s**2)*(24 - 34 + 45).
420*s**4
Expand (-77 - 7 + 35 - 11)*(h**2 - 2*h**2 - 5*h**2).
360*h**2
Expand 0*x**3 + x**3 + x**3 + (4*x - x - x)*(-5*x + 5*x - 2*x**2) + (-x - x + 7*x)*(-51*x**2 + 41*x**2 + 59*x**2).
243*x**3
Expand -22 + 62 + 9*l - 34 + (-6 + 2 + 2)*(1 - 1 + l).
7*l + 6
Expand 0*w**2 - w**2 + 2*w**2 + (4 + 3*w - 4)*(-w + 3*w + w) + 2*w - 3*w**2 - 2*w + 5*w**2 + 0*w**2 + 0*w**2.
12*w**2
Expand (4*s - 2*s - 4*s)*(-3*s**2 + s**2 - 2*s**2) + 2*s - 2*s + s**3 - s**3 - 3*s**3 - s**3 + 2*s - 2*s + s**3 + (4 - 2*s - 4)*(-4*s**2 - s**2 + s**2).
13*s**3
Expand -128*v**5 + 1106*v**5 - 392*v**5 - 2*v**4 - 2*v**5 + 2*v**4 + 3*v**5 + v**5 - 5*v**5 + (0 + 2*v**4 + 0)*(v + v - v) + 3*v**2 - 3*v**2 + 2*v**5.
587*v**5
Expand (-29*z**2 - 15*z**2 + 15*z**2)*(4*z - 3*z + 2*z).
-87*z**3
Expand (-321*t**2 + 12*t**2 + 6*t**2)*(-3 + 2*t + 3).
-606*t**3
Expand (-11*r**3 + 109*r - 109*r)*(0*r + 4*r - 5*r) - 63*r**2 - 6*r**4 + 63*r**2.
5*r**4
Expand (4 + 1 - 4)*(-4*x - 170 - 161 + 318 + (-3 - 2 + 7 + (1 + 4 - 6)*(-2 + 1 + 2))*(-28 + 28 - 2*x)).
-6*x - 13
Expand 0*r**2 + 0*r**2 + 2*r**2 + (-2*r - 2 + 2)*(-32*r + 105 - 105) - 2 + 2 - 3*r**2.
63*r**2
Expand (4 - 2*j + 6*j + j)*(14*j**2 - 24*j**2 - 23*j**2).
-165*j**3 - 132*j**2
Expand (3*g**3 - 5*g**3 + 3*g**3)*(31 + 32 - 62 + 138*g).
138*g**4 + g**3
Expand (10 + 4 + 1)*(l - 1 + 1)*(-l**2 - l**2 + 4*l**2).
30*l**3
Expand (5 + 0 - 2)*(0 + 0 - 2)*(-2*j**5 + 0*j**5 + j**5).
6*j**5
Expand (3*t**2 - 11*t**2 + 6 + 6*t**2)*(0*t**2 - 2*t**2 - 7*t**2).
18*t**4 - 54*t**2
Expand -2*i**3 + 6*i**3 - i**3 - i**3 - 3*i**3 + 2*i**3 + (2*i + 0*i - i)*(-2*i**2 - 2*i**2 + 2*i**2) - i**3 + 6*i**3 - 2*i**3.
2*i**3
Expand (-414 + 414 + 26*o)*(-6 - 7 + 3) + 0*o - o + 3*o + 0*o + 3*o - o + (-o - 2*o + 2*o)*(-3 + 4 + 1) + o + 0*o + 0*o.
-257*o
Expand (-2 - 2*p**2 + 2)*(56 - 13 + 58 + (3 - 3 + 2)*(-4 + 6 - 1)).
-206*p**2
Expand 0*t**3 - 4*t**3 + t**3 + (-2 + 3 - 2)*(2*t**3 + 2*t - 2*t) + 5*t**3 - 22*t + 26*t + 3*t**3.
3*t**3 + 4*t
Expand (1 - 117*u + 55*u + 57*u)*(-3 + 7*u + 3).
-35*u**2 + 7*u
Expand (-10*u - 21*u - 26*u)*(1 - 4 + 0).
171*u
Expand (-105*r - 73*r + 24*r)*(3*r + 0*r - r)*(-7*r - 8*r + 4*r).
3388*r**3
Expand (-3 - 2*h + 3)*(0*h**3 + 0*h**3 - 2*h**4) + 20215*h**2 + 299*h**5 - 20215*h**2.
303*h**5
Expand u + 2 - 2 + (0 + 4 - 1)*(u + 0 + 0)*(-1 - 5 + 2).
-11*u
Expand a - 2680*a**2 + 2640*a**2 - 5*a + 0 - 2*a**2 + 0 + (-a + 0 + 0)*(-6*a + 4*a + a) + 0 - a**2 + 0.
-42*a**2 - 4*a
Expand 35*t**3 + 5*t**3 + 13*t**3 + (7 - 7 + 2*t)*(2*t**2 + t**2 - 4*t**2).
51*t**3
Expand (-7 + 2 + 3)*(-2 + 2 - 2*t) + (-1 + 1 + 1)*(-2*t + 0*t + t) + (2 - 2*t - 2)*(-1 + 5 - 5) + 2*t + 2*t - 3*t.
6*t
Expand -3*c**3 + 3*c**3 + c**3 + (-6 + 3 + 2)*(6*c**3 - 4*c + 4*c).
-5*c**3
Expand (-31*s + 2*s**3 + 18*s + 12*s)*(1 + 4 - 6 - 2*s).
-4*s**4 - 2*s**3 + 2*s**2 + s
Expand -v**3 + 4 + 3*v + 3*v**3 - 2 + (3*v - v**2 - 3*v)*(-5*v - 8*v + 2*v).
13*v**3 + 3*v + 2
Expand (-86*n - 971 + 971)*(0 - 2 + 5)*((-5 + 4 + 3)*(3*n - 2*n - 2*n) + 2 - 2 - 2*n + n + 1 - 1).
774*n**2
Expand (-4 + 1 - 1)*(0*g**3 - 3*g**3 - 3*g**3) - 9*g**3 + 0*g**3 - 2*g**3.
13*g**3
Expand (-2 - 7 + 6)*(3 + 1 - 2)*(14*b - 9*b + 12*b)*(4 - 5 + 0).
102*b
Expand (0*k + k + k)*(-1015*k + 1015*k - 2 + 51*k**2)*(-2 - 2*k + 2).
-204*k**4 + 8*k**2
Expand ((0 + 2 + 3)*(-4*m + m + m) - m - 2*m + 5*m)*(0*m + 5*m + m).
-48*m**2
Expand (-2*p**2 + 5*p - 5*p)*(10378 + 253*p - 10378) + 1 - p**3 - 1 + (-2*p**2 + 6*p**2 - 3*p**2)*(-2*p - 2 + 2 + 1).
-509*p**3 + p**2
Expand (-10*t**3 + 0*t**3 + 49*t**3)*(-1 + 0 - 1)*(5 + 1 - 2).
-312*t**3
Expand | {
"pile_set_name": "DM Mathematics"
} |
922072885 to the nearest integer?
973
What is the sixth root of 6058772619 to the nearest integer?
43
What is 7154236 to the power of 1/6, to the nearest integer?
14
What is 687580127 to the power of 1/8, to the nearest integer?
13
What is 254384848 to the power of 1/2, to the nearest integer?
15949
What is the square root of 432635026 to the nearest integer?
20800
What is the sixth root of 50801056 to the nearest integer?
19
What is the eighth root of 2254344453 to the nearest integer?
15
What is the square root of 423502666 to the nearest integer?
20579
What is 1742739650 to the power of 1/2, to the nearest integer?
41746
What is the sixth root of 58979469 to the nearest integer?
20
What is the square root of 29603068 to the nearest integer?
5441
What is the tenth root of 62450328 to the nearest integer?
6
What is the square root of 31828495 to the nearest integer?
5642
What is the sixth root of 1674145605 to the nearest integer?
34
What is the fifth root of 508484520 to the nearest integer?
55
What is the third root of 1921385695 to the nearest integer?
1243
What is the third root of 29233200 to the nearest integer?
308
What is the eighth root of 85021666 to the nearest integer?
10
What is the square root of 232841513 to the nearest integer?
15259
What is the cube root of 40286993 to the nearest integer?
343
What is the square root of 50574938 to the nearest integer?
7112
What is 47590412 to the power of 1/2, to the nearest integer?
6899
What is the tenth root of 111048121 to the nearest integer?
6
What is the seventh root of 5184004483 to the nearest integer?
24
What is 586428536 to the power of 1/4, to the nearest integer?
156
What is the square root of 759492389 to the nearest integer?
27559
What is 2078657191 to the power of 1/3, to the nearest integer?
1276
What is the third root of 143418400 to the nearest integer?
523
What is 4852706334 to the power of 1/5, to the nearest integer?
87
What is the square root of 840963031 to the nearest integer?
28999
What is the cube root of 1432410387 to the nearest integer?
1127
What is the fifth root of 4249749381 to the nearest integer?
84
What is the cube root of 171115903 to the nearest integer?
555
What is the cube root of 36467418 to the nearest integer?
332
What is the third root of 35115969 to the nearest integer?
327
What is 26138293 to the power of 1/2, to the nearest integer?
5113
What is the cube root of 342821100 to the nearest integer?
700
What is the square root of 409497378 to the nearest integer?
20236
What is the cube root of 180984731 to the nearest integer?
566
What is 252816556 to the power of 1/3, to the nearest integer?
632
What is the third root of 2650598166 to the nearest integer?
1384
What is 188966717 to the power of 1/6, to the nearest integer?
24
What is 40477429 to the power of 1/10, to the nearest integer?
6
What is 142894641 to the power of 1/3, to the nearest integer?
523
What is the cube root of 5160204 to the nearest integer?
173
What is 37949762 to the power of 1/9, to the nearest integer?
7
What is 210689818 to the power of 1/7, to the nearest integer?
15
What is the square root of 7449182430 to the nearest integer?
86309
What is 41222780 to the power of 1/5, to the nearest integer?
33
What is the cube root of 1795110823 to the nearest integer?
1215
What is 1686755856 to the power of 1/2, to the nearest integer?
41070
What is 42794086 to the power of 1/2, to the nearest integer?
6542
What is the sixth root of 1595639684 to the nearest integer?
34
What is the square root of 173483846 to the nearest integer?
13171
What is 240757342 to the power of 1/3, to the nearest integer?
622
What is the square root of 2682894631 to the nearest integer?
51797
What is 223518952 to the power of 1/2, to the nearest integer?
14951
What is the fifth root of 51379931 to the nearest integer?
35
What is the third root of 1066074259 to the nearest integer?
1022
What is 52071925 to the power of 1/2, to the nearest integer?
7216
What is 1022500824 to the power of 1/2, to the nearest integer?
31977
What is 762649548 to the power of 1/8, to the nearest integer?
13
What is 19800524 to the power of 1/3, to the nearest integer?
271
What is 6406444487 to the power of 1/3, to the nearest integer?
1857
What is 15202953 to the power of 1/4, to the nearest integer?
62
What is the cube root of 3384731850 to the nearest integer?
1501
What is the cube root of 67739422 to the nearest integer?
408
What is the fourth root of 3157743668 to the nearest integer?
237
What is the seventh root of 2441925087 to the nearest integer?
22
What is 220824345 to the power of 1/2, to the nearest integer?
14860
What is 2849176127 to the power of 1/4, to the nearest integer?
231
What is 1101047808 to the power of 1/7, to the nearest integer?
20
What is the cube root of 116034167 to the nearest integer?
488
What is the seventh root of 161191916 to the nearest integer?
15
What is the square root of 904985156 to the nearest integer?
30083
What is 12514833 to the power of 1/9, to the nearest integer?
6
What is the square root of 2728929138 to the nearest integer?
52239
What is the third root of 24028024 to the nearest integer?
289
What is the square root of 51844617 to the nearest integer?
7200
What is the eighth root of 524154239 to the nearest integer?
12
What is 46670521 to the power of 1/7, to the nearest integer?
12
What is the square root of 10144041 to the nearest integer?
3185
What is 71329517 to the power of 1/2, to the nearest integer?
8446
What is 328205007 to the power of 1/5, to the nearest integer?
50
What is the square root of 34331181 to the nearest integer?
5859
What is 6097901526 to the power of 1/2, to the nearest integer?
78089
What is 2652086216 to the power of 1/2, to the nearest integer?
51498
What is the cube root of 2942111536 to the nearest integer?
1433
What is 24775224 to the power of 1/9, to the nearest integer?
7
What is the square root of 5026681889 to the nearest integer?
70899
What is the third root of 30420904 to the nearest integer?
312
What is 42860091 to the power of 1/6, to the nearest integer?
19
What is the square root of 3844530478 to the nearest integer?
62004
What is the cube root of 176549972 to the nearest integer?
561
What is the cube root of 1098472794 to the nearest integer?
1032
What is the square root of 23453233 to the nearest integer?
4843
What is 2532788431 to the power of 1/2, to the nearest integer?
50327
What is the square root of 43663362 to the nearest integer?
6608
What is 2259185686 to the power of 1/3, to the nearest integer?
1312
What is 5182937 to the power of 1/5, to the nearest integer?
22
What is the third root of 148181620 to the nearest integer?
529
What is the third root of 315989212 to the nearest integer?
681
What is the square root of 194100538 to the nearest integer?
13932
What is the cube root of 5376222013 to the nearest integer?
1752
What is the square root of 5958488064 to the nearest integer?
77191
What is 303696697 to the power of 1/6, to the nearest integer?
26
What is 450360093 to the power of 1/7, to the nearest integer?
17
What is the square root of 89361496 to the nearest integer?
9453
What is 153209014 to the power of 1/5, to the nearest integer?
43
What is 28920871 to the power of 1/6, to the nearest integer?
18
What is the tenth root of 98225806 to the nearest integer?
6
What is the cube root of 1236876722 to the nearest integer?
1073
What is the sixth root of 644618018 to the nearest integer?
29
What is 744853888 to the power of 1/4, to the nearest integer?
165
What is 7177079039 to the power of 1/8, to the nearest integer?
17
What is the cube root of 39479538 to the nearest integer?
341
What is the fifth root of 733252519 to the nearest integer?
59
What is 2663431719 to the power of 1/3, to the nearest integer?
1386
What is the square root of 461586297 to the nearest integer?
21485
What is the fifth root of 1394721497 to the nearest integer?
67
What is 2082355706 to the power of 1/2, to the nearest integer?
45633
What is 223353614 to the power of 1/2, to the nearest integer?
14945
What is the square root of 34827750 to the nearest integer?
5902
What is 466015603 to the power of 1/2, to the nearest integer?
21587
What is 32673577 t | {
"pile_set_name": "DM Mathematics"
} |
*3*-1263. Suppose -d - 59 = -5*k. Does 19 divide k?
False
Suppose 23*s - 616 = 19*s. Let b = -73 + s. Let r = -41 + b. Does 20 divide r?
True
Suppose -3*r - 2 = 25. Let a = -1187 - -1213. Does 10 divide a + 6*6/r?
False
Let n = -12 + 23. Let z = n + -7. Suppose z*r - 72 = 152. Is 14 a factor of r?
True
Let w(m) = -3*m**3 - m**2 + 2*m - 6. Is w(-3) a multiple of 12?
True
Suppose -3*x - 3*f + 318 = 0, -2*x = 5*f - 219 + 22. Is 3 a factor of x?
True
Let r be 2 + 1 + 0/(-5). Suppose -2*q + 4*c = -350, -r*q + 0*c + 535 = -4*c. Is q a multiple of 9?
False
Let u = 36 - 20. Suppose u = 8*y - 4*y, 5*o + 3*y = 432. Is 12 a factor of o?
True
Let m(n) = -n**2 + 19*n - 3. Let w be m(12). Let y = 181 - w. Does 20 divide y?
True
Let t = -52 - -53. Is 5 a factor of (23/t - 4) + -3?
False
Suppose -4*p + 8 = -2*u, -p + 3*p = 2*u. Suppose -p*q + 0*a + 8 = 2*a, 2*a = q + 3. Is 25 a factor of 416/6 - q/3?
False
Let f(u) = -11*u - 10. Let o be f(-5). Suppose 0*n - 3*b = -3*n + o, -4*b = -5*n + 80. Is n a multiple of 14?
False
Suppose -2*l + 361 = 4*c - 23, 2*l + 204 = 2*c. Let d = -34 + c. Is d a multiple of 6?
False
Let l(f) = f - 12. Let g be l(-6). Let x = g + 58. Is x a multiple of 22?
False
Let q(f) = -f**3 + 2*f**2 + 8*f - 2. Let m be q(6). Let j = -50 - m. Is (-2)/12 + 344/j even?
False
Is 9 a factor of ((-197)/8)/(3 + 450/(-144))?
False
Suppose 7*q + 2 = 16. Suppose -w - 657 = -l - q*l, 5*l - 3*w = 1099. Suppose -l - 2 = -4*z. Is 11 a factor of z?
True
Let u be 0 + 0 + 1 - -4. Suppose -6*p + 370 = 5*g - p, -2*g + u*p = -162. Does 38 divide g?
True
Suppose 0 = 5*b + 2*o - 13, -9*b = -13*b + o + 13. Is b even?
False
Suppose 5*v = -5*q + 3755, -q + v + 277 + 466 = 0. Does 20 divide q?
False
Let i(s) = 9*s**3 + 9*s**3 - 16*s**3 - 3*s + 10 - 7*s**2 + s**2. Is 11 a factor of i(4)?
False
Let o be 6/9 + 772/3. Suppose -4*s + o - 42 = 0. Is 6 a factor of s?
True
Let x(y) be the second derivative of -y**3/6 + 2*y**2 + 6*y. Let c be x(0). Suppose -c*t + 33 = v, -2*v + 3 = 1. Is t a multiple of 2?
True
Suppose 1 = -2*g + 11. Suppose g*b - 2*b - 12 = 0. Is 21 a factor of 120/(b - 0) - -3?
False
Suppose 2*q + 3*l = 6*q - 828, -5*l - 828 = -4*q. Does 23 divide q?
True
Let x be -3 - 2*3/((-15)/80). Suppose -5*b - 5*q - 80 = 0, 0 = -2*b + 5*q - 6 - 5. Let p = b + x. Is 5 a factor of p?
False
Let t(f) = 3*f**2 - 7*f. Let b(x) = -x + 10. Let c be b(9). Let z be (-4 - -3)/(c/(-5)). Does 20 divide t(z)?
True
Suppose 0 = 4*a - w - 195, a - 248 = -4*a - 3*w. Suppose -27 = -4*f + a. Does 19 divide f?
True
Let n(a) = -a + 16. Suppose 0 = -3*w - 2*k - 11, 17 = -9*w + 4*w - 3*k. Let c be -3 - (w - 0) - -2. Is n(c) a multiple of 16?
True
Let v = -270 + 20. Does 20 divide v/(-3)*18/15?
True
Suppose 3*a + a = -3*w + 34, -5*w = 2*a - 24. Let d be a/2*(-6)/(-3). Let h = -2 + d. Is 5 a factor of h?
True
Let s(v) = 101*v + 1. Suppose 0 = -r + 12 - 13. Let q be s(r). Let k = -35 - q. Does 15 divide k?
False
Let w(g) be the second derivative of 0 - 1/3*g**3 - 6*g - 3/2*g**2 + 0*g**4 - 1/20*g**5. Does 9 divide w(-2)?
True
Let a = -57 - -115. Suppose -4*f - l = l, 4*f = -l + 2. Is (a/(-6))/(f/(-3)) a multiple of 8?
False
Does 4 divide (415 - 0) + 6/(54/(-63))?
True
Let a be 676/6 + (-2)/(-6). Let f = 236 + -308. Let j = f + a. Is j a multiple of 15?
False
Let x(g) = g**3 + g**2 + g - 3. Let t be x(0). Let d(s) = s - 3. Let r(q) = -3. Let b(a) = -5*d(a) + 6*r(a). Is 8 a factor of b(t)?
False
Suppose 7 = 3*p + 37. Let w be (-2)/4 + p/(-4). Suppose -2*v = 4*b - 58, w*v = 4*b - 30 - 8. Is b a multiple of 6?
True
Let r(d) = -2*d - 18. Let w(h) = -1. Let x(v) = -r(v) - 6*w(v). Is 24 a factor of x(12)?
True
Does 10 divide (-3720)/(-2)*((-2)/(-4) + 0)?
True
Suppose -5*n + 3*z + 45 = -0*n, 0 = 4*n - 3*z - 39. Suppose n*i = 3*i + 195. Let c = i - -8. Is 21 a factor of c?
False
Suppose -3*l + 10 = 1. Suppose 100 = -l*x - x. Does 16 divide ((-160)/x)/(2/10)?
True
Does 21 divide (-946)/55*(1 + (-6 - 0))?
False
Let m = -1433 + 2063. Does 70 divide m?
True
Suppose -5*w - 1175 = -5*c, -2*w = 2*c - 7*w - 470. Suppose 5*f = -5*v + c, 2*f + 16 + 105 = 3*v. Is v a multiple of 3?
False
Suppose 8*v - 9535 = 6*v - 3*q, -4*q = -3*v + 14260. Is v a multiple of 28?
True
Let n(w) = -w**3 + 7*w**2 + 23*w + 18. Let r be n(10). Let x = r - -117. Is x a multiple of 13?
True
Suppose -3*l + 120 = 3*l. Does 2 divide -1*(-2 + 3) + l?
False
Let a(m) = -m**2 - 3*m + 4. Let r be a(-4). Let l be (r - 119) + 6 + -5. Let w = 172 + l. Does 13 divide w?
False
Let q(o) = o**2 + 18*o + 2. Let s be q(-18). Suppose s*c - 5*c + 279 = -5*f, c + 5*f = 113. Is c a multiple of 15?
False
Is (318/(-4))/(33/(-88)) a multiple of 5?
False
Let u = 1297 + -1263. Does 34 divide u?
True
Let n be 6 - (-1 + 0 + 4). Suppose -a = c + 25, -n*a + 4*c = 46 + 8. Let w = 42 + a. Does 5 divide w?
True
Let v(a) = a + 8. Let h = -2 + -3. Let q be v(h). Suppose k = q*k - 5*c - 7, -5*k = -c - 75. Is k a multiple of 11?
False
Suppose l = t - 26, -5*t + 64 = l - 3*l. Let v(j) = -8*j - 19. Does 17 divide v(l)?
False
Suppose -18*i = -21*i. Is (i - 36/(-5))*240/36 a multiple of 19?
False
Let j be 1098/(-27) - 4/(-6). Suppose 5*m = 3*v + 173, 51 = -v - 0*m + 5*m. Let y = j - v. Is 18 a factor of y?
False
Suppose -4*c = -3*c - 5. Suppose 9*u - 680 = c*u. Is u a multiple of 34?
True
Let m(o) = -o**3 - 22*o**2 + 22*o + 29. Let k be (-46)/4*((-12)/(-2))/3. Is m(k) a multiple of 13?
True
Suppose 4*c - 7*c = -3*i + 5814, 0 = 4*i - 3*c - 7750. Is i a multiple of 19?
False
Let s(o) = o + 6. Suppose 0 = -3*c - 2*c + 50. Suppose 3*b - c = b. Is s(b) a multiple of 4?
False
Is 2/((-3427)/(-685) + -5) a multiple of 15?
False
Suppose -904 = -51*j + 2870. Is 7 a factor of j?
False
Does 18 divide 4 - 113610/(-49) - (-12)/(-21)?
True
Let p(d) = 12*d**2 - 245*d + 30. Is p(22) a multiple of 7?
True
Suppose 2*b = 2*m + b + 5, -9 = 4*m - 3*b. Does 14 divide 3 - (-25 + (m - -3))?
True
Let p(h) = h + 10. Let g be p(-5). Suppose -a = -g*a + 156. Is 4 a factor of a?
False
Suppose 4 + 56 = 5*i. Suppose -15*v = -i*v. Is -3 - -7 - (v - 18) a multiple of 8?
False
Let t(r) = 12*r. Let b = -19 - -24. Does 27 divide t(b)?
False
Let z(n) = -6*n - 6. Let l be z(-4). Let m be (l/15)/(6/(-140)). Let u = m + 31. Is 3 a factor of u?
True
Let x be 2/(-6) + 64/(-6). Let p = 25 - x. Let y = 55 - p. Does 8 divide y?
False
Suppose 4 + 18 = 2*v. Let p = 1 + v. Let k = p - 9. Is k even?
False
Let q(d) = 5*d**2 - 14. Suppose -4*b = 4*h - 12, 2*b + 2*h = -3*b + 18. Is 11 a factor of q(b)?
True
Let p = -7 - -76. Let l = p - 41. Suppose -3*b = 5*t - 84, 5*b = 4*t - 3*t - l. Is 8 a factor of t?
False
Suppose 4*d - 5813 = -3*r, -4*d = r - 0*r - 5823. Is 23 a factor of d?
False
Does 7 divide (-7)/(882/(-220) - -4)?
True
Suppose 4*u = -7*b + 4*b - 19, -2*u - 6 = -2*b. Suppose 5*o + 30 + 0 = 0. Does 12 divide (o/(-8))/(b/(-52))?
False
Let d(l) = -3*l - 20. Let a be d(-8). Suppose 0 = 2*n - 3*n - 5, 5*r + a*n - 325 = 0. Is r a multiple of 21?
False
Suppose -h + y + 3 = 0, -3*h - 2*h - 5*y + 5 = 0. Does 13 divide ((-156)/(-10))/((h - 4)/(-10))?
True
Let q be 1*226/(-2) + -2. Let p be 19 + 173 + (-6 - 1). Let s = q + p. Is s a multiple of 14?
True
Let o(s) = 17*s + 11. Is o(12) a multiple of 5?
True
Let u(t) = 2*t + 12. Let w be u(-6). Suppose 3*s - s = w. Suppose 2*b - 3*v - 21 - 27 = 0, s = -4*b - 2*v + 64. Does 5 divide b?
False
Let g(k) = 2*k**2 - 25*k - 183. Does 9 divide g(-19)?
False
Let q(v) be the third derivative of v**6/120 + 2*v**5/15 + 3*v**4/8 + 5*v**3/6 + 5*v**2. Let h be q(-7). Let m(u) = -u + 3. Does 6 divide m(h)?
True
Let p(f) = 2*f**2 + 2*f + 399. Does 14 divide p(0)?
False
Let h(n) = -7*n + 29. Let r be h(-4). Suppose -v + 116 = -r. Is 16 a factor of v?
False
Let v = 21 - 16. Suppose -v*b + 2*b - 2*p = -565, -3*b = 5*p - 553. Suppose 0 = -4*t - b + 623. Is t a multiple of 36?
True
Let c(i) = 8*i**2 + 15*i - 153. Does 49 divide c(-19)?
True
Let y = 1628 + 225. Is y a multiple of 109?
True
Suppose -6 = -12*m + 30. Suppose -29 = -z - 3*f, m*z + f = 7*z - 181. Is z a multiple of 5?
False
Suppose -2*s - s = d - 23, s = 3*d + 11. Let q be 2/s + 23/4. Let u(i) = -i**3 + 5*i**2 + 6*i + 8. Does 3 divide u(q)?
False
Let y(j) = -5*j**3 + 5*j**2 - 2*j - 1. Let w(q) = -6*q**3 + 5*q**2 - 3*q. Let a(l) = -4*w(l) + 5*y( | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
4
What is the cube root of 7181 to the nearest integer?
19
What is 2180 to the power of 1/5, to the nearest integer?
5
What is 1334 to the power of 1/4, to the nearest integer?
6
What is the seventh root of 14861 to the nearest integer?
4
What is 346 to the power of 1/2, to the nearest integer?
19
What is 79447 to the power of 1/4, to the nearest integer?
17
What is the fifth root of 18684 to the nearest integer?
7
What is 36919 to the power of 1/2, to the nearest integer?
192
What is the square root of 2573 to the nearest integer?
51
What is 575 to the power of 1/3, to the nearest integer?
8
What is the seventh root of 89640 to the nearest integer?
5
What is 875 to the power of 1/3, to the nearest integer?
10
What is the seventh root of 1608 to the nearest integer?
3
What is the eighth root of 118 to the nearest integer?
2
What is the sixth root of 487 to the nearest integer?
3
What is the third root of 13179 to the nearest integer?
24
What is 35165 to the power of 1/2, to the nearest integer?
188
What is the square root of 1265 to the nearest integer?
36
What is 17314 to the power of 1/6, to the nearest integer?
5
What is 7955 to the power of 1/3, to the nearest integer?
20
What is 39056 to the power of 1/2, to the nearest integer?
198
What is the third root of 1773 to the nearest integer?
12
What is 947 to the power of 1/2, to the nearest integer?
31
What is the cube root of 27113 to the nearest integer?
30
What is 3924 to the power of 1/2, to the nearest integer?
63
What is the fourth root of 2197 to the nearest integer?
7
What is 7455 to the power of 1/7, to the nearest integer?
4
What is 896 to the power of 1/2, to the nearest integer?
30
What is the fifth root of 41787 to the nearest integer?
8
What is the tenth root of 66258 to the nearest integer?
3
What is the seventh root of 4958 to the nearest integer?
3
What is the square root of 9653 to the nearest integer?
98
What is 778 to the power of 1/2, to the nearest integer?
28
What is the tenth root of 822 to the nearest integer?
2
What is the square root of 94119 to the nearest integer?
307
What is 17244 to the power of 1/3, to the nearest integer?
26
What is the square root of 79367 to the nearest integer?
282
What is 4756 to the power of 1/2, to the nearest integer?
69
What is 2372 to the power of 1/9, to the nearest integer?
2
What is 94496 to the power of 1/6, to the nearest integer?
7
What is 5567 to the power of 1/7, to the nearest integer?
3
What is 14234 to the power of 1/4, to the nearest integer?
11
What is the third root of 93 to the nearest integer?
5
What is the eighth root of 1356 to the nearest integer?
2
What is the square root of 37191 to the nearest integer?
193
What is the tenth root of 2974 to the nearest integer?
2
What is the square root of 73779 to the nearest integer?
272
What is 5313 to the power of 1/2, to the nearest integer?
73
What is 2476 to the power of 1/2, to the nearest integer?
50
What is the cube root of 1877 to the nearest integer?
12
What is 1740 to the power of 1/3, to the nearest integer?
12
What is 17823 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 1480 to the nearest integer?
3
What is 28092 to the power of 1/7, to the nearest integer?
4
What is 10161 to the power of 1/3, to the nearest integer?
22
What is the ninth root of 492 to the nearest integer?
2
What is the cube root of 143850 to the nearest integer?
52
What is the square root of 17354 to the nearest integer?
132
What is 6614 to the power of 1/2, to the nearest integer?
81
What is 2582 to the power of 1/2, to the nearest integer?
51
What is the third root of 89197 to the nearest integer?
45
What is 24189 to the power of 1/10, to the nearest integer?
3
What is the eighth root of 64760 to the nearest integer?
4
What is the ninth root of 43 to the nearest integer?
2
What is the fourth root of 53 to the nearest integer?
3
What is the square root of 248 to the nearest integer?
16
What is 157 to the power of 1/8, to the nearest integer?
2
What is 23059 to the power of 1/8, to the nearest integer?
4
What is the eighth root of 835 to the nearest integer?
2
What is 1532 to the power of 1/2, to the nearest integer?
39
What is the cube root of 59374 to the nearest integer?
39
What is 88976 to the power of 1/4, to the nearest integer?
17
What is the third root of 1776 to the nearest integer?
12
What is 17207 to the power of 1/2, to the nearest integer?
131
What is the cube root of 133075 to the nearest integer?
51
What is the third root of 36350 to the nearest integer?
33
What is the square root of 8896 to the nearest integer?
94
What is the seventh root of 94619 to the nearest integer?
5
What is 1429 to the power of 1/5, to the nearest integer?
4
What is the tenth root of 1153 to the nearest integer?
2
What is the cube root of 49464 to the nearest integer?
37
What is 9671 to the power of 1/3, to the nearest integer?
21
What is 595 to the power of 1/8, to the nearest integer?
2
What is 545 to the power of 1/3, to the nearest integer?
8
What is 284 to the power of 1/2, to the nearest integer?
17
What is the cube root of 12290 to the nearest integer?
23
What is the fourth root of 8482 to the nearest integer?
10
What is 2601 to the power of 1/6, to the nearest integer?
4
What is the square root of 25159 to the nearest integer?
159
What is the square root of 844 to the nearest integer?
29
What is the eighth root of 14043 to the nearest integer?
3
What is 126316 to the power of 1/3, to the nearest integer?
50
What is the cube root of 10086 to the nearest integer?
22
What is 898 to the power of 1/3, to the nearest integer?
10
What is 4133 to the power of 1/2, to the nearest integer?
64
What is the square root of 7186 to the nearest integer?
85
What is the square root of 10536 to the nearest integer?
103
What is the square root of 25482 to the nearest integer?
160
What is 9956 to the power of 1/8, to the nearest integer?
3
What is the third root of 4001 to the nearest integer?
16
What is the fourth root of 90 to the nearest integer?
3
What is 1667 to the power of 1/8, to the nearest integer?
3
What is 108511 to the power of 1/3, to the nearest integer?
48
What is the square root of 466 to the nearest integer?
22
What is 104 to the power of 1/8, to the nearest integer?
2
What is the ninth root of 735 to the nearest integer?
2
What is 19636 to the power of 1/2, to the nearest integer?
140
What is the eighth root of 935 to the nearest integer?
2
What is 56304 to the power of 1/2, to the nearest integer?
237
What is the seventh root of 40611 to the nearest integer?
5
What is 183 to the power of 1/2, to the nearest integer?
14
What is 18919 to the power of 1/2, to the nearest integer?
138
What is the fifth root of 64901 to the nearest integer?
9
What is the third root of 45995 to the nearest integer?
36
What is 203 to the power of 1/2, to the nearest integer?
14
What is the ninth root of 134038 to the nearest integer?
4
What is 68924 to the power of 1/2, to the nearest integer?
263
What is the eighth root of 70518 to the nearest integer?
4
What is the cube root of 117238 to the nearest integer?
49
What is the tenth root of 67 to the nearest integer?
2
What is the ninth root of 36548 to the nearest integer?
3
What is the tenth root of 640 to the nearest integer?
2
What is the third root of 869 to the nearest integer?
10
What is the square root of 34488 to the nearest integer?
186
What is the tenth root of 626 to the nearest integer?
2
What is the third root of 304 to the nearest integer?
7
What is 17950 to the power of 1/3, to the nearest integer?
26
What is the third root of 19202 to the nearest integer?
27
What is 19544 to the power of 1/10, to the nearest integer?
3
What is the square root of 352 to the nearest integer?
19
What is the eighth root of 15460 to the nearest integer?
3
What is the third root of 6922 to the nearest integer?
19
What is the third root of 2391 to the nearest integer?
13
What is 3843 to the power of 1/5, to the nearest integer?
5
What is 69967 to the power of 1/5, to the nearest integer?
9
What is 34392 to the power of 1/3, to the nearest integer?
33
What is 9433 to the power of 1/10, to the nearest integer?
2
What is the third root o | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of 6604975761?
3, 2201658587
What are the prime factors of 1543832787?
3, 7, 73515847
List the prime factors of 83662469.
11, 7605679
What are the prime factors of 318111940?
2, 5, 37, 429881
List the prime factors of 1593026771.
7, 227575253
List the prime factors of 808794568.
2, 43, 2351147
List the prime factors of 14421645.
3, 5, 7, 5087
What are the prime factors of 25444492?
2, 179, 35537
List the prime factors of 39396709.
11, 19, 251, 751
List the prime factors of 126056817.
3, 37, 42061
What are the prime factors of 1796909802?
2, 3, 523, 572629
What are the prime factors of 63790719?
3, 521, 40813
What are the prime factors of 1065310507?
47, 2063, 10987
List the prime factors of 66357920.
2, 5, 414737
What are the prime factors of 515624407?
515624407
List the prime factors of 25058873.
7, 557, 6427
List the prime factors of 714621309.
3, 73, 271, 12041
What are the prime factors of 17021165?
5, 7, 17, 28607
What are the prime factors of 2879471391?
3, 959823797
List the prime factors of 100391291.
7, 11, 13, 100291
List the prime factors of 440302123.
1493, 294911
What are the prime factors of 46746487?
46746487
What are the prime factors of 179576249?
23, 173, 45131
List the prime factors of 401397127.
23, 37, 471677
What are the prime factors of 1226317388?
2, 337, 909731
What are the prime factors of 43517716?
2, 11, 227, 4357
List the prime factors of 6210410075.
5, 248416403
What are the prime factors of 536351479?
17, 313, 100799
What are the prime factors of 134841411?
3, 353, 42443
What are the prime factors of 905697453?
3, 19, 197, 80657
What are the prime factors of 42143770?
2, 5, 4214377
List the prime factors of 78699794.
2, 29, 311, 4363
What are the prime factors of 355764632?
2, 44470579
What are the prime factors of 334338244?
2, 43, 1943827
List the prime factors of 200424.
2, 3, 7, 1193
List the prime factors of 521996724.
2, 3, 31, 51971
List the prime factors of 96165103.
59, 1013, 1609
List the prime factors of 231437808.
2, 3, 7, 229601
What are the prime factors of 37545265?
5, 17, 487, 907
List the prime factors of 5743176535.
5, 43, 61, 437909
List the prime factors of 617221615.
5, 83, 173, 8597
List the prime factors of 219217804.
2, 13, 59, 71453
What are the prime factors of 23803656?
2, 3, 19, 52201
List the prime factors of 3109352099.
7, 15973, 27809
What are the prime factors of 256511721?
3, 757, 112951
List the prime factors of 2194975462.
2, 241, 4553891
What are the prime factors of 243785588?
2, 631, 96587
List the prime factors of 173739015.
3, 5, 3860867
List the prime factors of 596739593.
17, 19, 71, 26021
List the prime factors of 15117040.
2, 5, 233, 811
List the prime factors of 92211297.
3, 1087, 28277
List the prime factors of 566338617.
3, 13, 41, 118061
List the prime factors of 336430833.
3, 17, 619, 10657
List the prime factors of 51881901.
3, 71, 243577
List the prime factors of 50838511.
3307, 15373
What are the prime factors of 90924968?
2, 1039, 10939
What are the prime factors of 1375588184?
2, 17, 10114619
List the prime factors of 813059085.
3, 5, 17, 23, 138629
What are the prime factors of 3366664457?
13, 97, 2669837
List the prime factors of 1412410105.
5, 23, 12281827
List the prime factors of 82784450.
2, 5, 7, 236527
What are the prime factors of 318596429?
3469, 91841
List the prime factors of 11107695.
3, 5, 740513
What are the prime factors of 173146236?
2, 3, 37, 271, 1439
What are the prime factors of 1244045502?
2, 3, 7, 1721, 5737
List the prime factors of 19769381.
19769381
List the prime factors of 63913793.
41, 1558873
List the prime factors of 119574653.
11, 10870423
What are the prime factors of 105119219?
43, 937, 2609
List the prime factors of 24791217.
3, 11, 23, 89, 367
What are the prime factors of 499169436?
2, 3, 17, 127, 19267
What are the prime factors of 410939351?
17, 41, 589583
List the prime factors of 4322883781.
19, 107, 359, 5923
What are the prime factors of 474791658?
2, 3, 11, 59453
List the prime factors of 406973020.
2, 5, 2687, 7573
List the prime factors of 401066870.
2, 5, 23, 97, 17977
What are the prime factors of 71001677?
71001677
What are the prime factors of 102351376?
2, 6396961
List the prime factors of 72815139.
3, 41, 65777
What are the prime factors of 22698112?
2, 383, 463
What are the prime factors of 1979345813?
107, 18498559
List the prime factors of 7631806329.
3, 7, 463, 261641
What are the prime factors of 2413661325?
3, 5, 79, 407369
What are the prime factors of 324316670?
2, 5, 229, 141623
What are the prime factors of 2307613926?
2, 3, 29, 13262149
List the prime factors of 987339862.
2, 53, 9314527
What are the prime factors of 281039708?
2, 53, 1325659
List the prime factors of 512515224.
2, 3, 13, 547559
What are the prime factors of 712313027?
19501, 36527
List the prime factors of 485699205.
3, 5, 2549, 12703
What are the prime factors of 80639979?
3, 7, 3839999
List the prime factors of 310203248.
2, 19387703
List the prime factors of 29810957.
11, 2710087
What are the prime factors of 656619419?
349, 1881431
List the prime factors of 139881723.
3, 61, 764381
List the prime factors of 4116669407.
41149, 100043
What are the prime factors of 36040273?
331, 108883
What are the prime factors of 37322655?
3, 5, 1021, 2437
List the prime factors of 43000269.
3, 13, 1102571
List the prime factors of 33656223.
3, 467, 24023
List the prime factors of 591910856.
2, 47, 1574231
What are the prime factors of 1124110193?
17, 971, 68099
List the prime factors of 21500882.
2, 13, 826957
What are the prime factors of 43276545?
3, 5, 13, 24659
What are the prime factors of 2077205801?
11, 188836891
What are the prime factors of 1302630320?
2, 5, 59, 275981
What are the prime factors of 19893936?
2, 3, 414457
What are the prime factors of 4847624352?
2, 3, 2161, 7789
What are the prime factors of 1915163?
1915163
What are the prime factors of 430726385?
5, 1583, 54419
What are the prime factors of 2816342040?
2, 3, 5, 2381, 9857
List the prime factors of 35149617.
3, 3905513
List the prime factors of 20579160.
2, 3, 5, 7, 24499
What are the prime factors of 1051830771?
3, 277, 1265741
What are the prime factors of 11147108?
2, 7, 56873
List the prime factors of 20366537.
19, 56417
What are the prime factors of 169045714?
2, 1193, 70849
List the prime factors of 92557824.
2, 3, 60259
List the prime factors of 317401376.
2, 107, 92699
List the prime factors of 1443923177.
31, 46578167
What are the prime factors of 70707869?
31, 2280899
What are the prime factors of 280457521?
29, 37, 9013
List the prime factors of 183558964.
2, 45889741
What are the prime factors of 240756519?
3, 743, 108011
What are the prime factors of 4430646116?
2, 13, 1471, 57923
What are the prime factors of 3106656960?
2, 3, 5, 11, 109, 2699
What are the prime factors of 75904809?
3, 25301603
What are the prime factors of 3942159502?
2, 127, 1103, 14071
List the prime factors of 1511543793.
3, 83, 6070457
What are the prime factors of 7661032808?
2, 11, 13, 6696707
List the prime factors of 4556879.
73, 62423
List the prime factors of 127561714.
2, 7, 31, 251, 1171
What are the prime factors of 255201639?
3, 7, 11, 1104769
What are the prime factors of 629281676?
2, 5669, 27751
List the prime factors of 8521788.
2, 3, 11, 5869
What are the prime factors of 99545129?
43, 2315003
What are the prime factors of 8555408?
2, 199, 2687
What are the prime factors of 82462299?
3, 19, 47, 30781
What are the prime factors of 129117628?
2, 29, 1113083
List the prime factors of 918337454.
2, 459168727
What are the prime factors of 137554359?
3, 45851453
What are the prime factors of 300292355?
5, 11, 137, 3623
List the prime factors of 240395353.
11, 19, 1150217
What are the prime factors of 115384443?
3, 71, 541711
List the prime factors of 50238376.
2, 6279797
List the prime factors of 89219204.
2, 499, 44699
What are the prime factors of 129433029?
3, 11, 23, 31, 5501
What are the prime factors of 1339986886?
2, 7, 17, 359, 15683
What are the prime factors of 444221703?
3, 61, 809147
What are the prime factors of 6145761564?
2, 3, 103, 599, 2767
List the prime factors of 1057695710.
2, 5, 23, 4598677
List the prime factors of 252915129.
3 | {
"pile_set_name": "DM Mathematics"
} |
True
Suppose -2*f + 4*u = 93 + 1543, -4*u + 808 = -f. Let p be (-1724)/(-6)*21/2. Let n = f + p. Is n prime?
False
Let d(v) = 2*v**3 - 2*v**2 + 4*v - 4. Let s be -1*(-4 - (-4)/4). Let j be d(s). Suppose 49*z = j*z + 1885. Is z a prime number?
False
Is -7 - (8/64 + (-21512324)/32) composite?
True
Suppose 8606*f - 22143403 = 8565*f. Is f a prime number?
False
Let s(x) = -x**2 + x + 3. Let i be s(2). Let o(a) = 4396*a**3 + 2*a**2 - 4*a + 3. Is o(i) composite?
False
Let p(d) = d**2 - 10*d - 21. Suppose 0 = 3*s - 5*v + 3*v - 36, s - 12 = v. Let h be p(s). Suppose 0 = j - 3, -3*j + 3627 = h*r - 8*j. Is r composite?
True
Let x(p) = 70*p**2 + 8*p + 18. Let l be x(-3). Let v = 263 + l. Is v prime?
True
Suppose -10 = 5*i, 2*a - 102 = -0*i + 3*i. Suppose a*f + 5 = 49*f. Suppose -5*v + 5*g - 102 = -20057, -f*v + g = -19947. Is v a prime number?
True
Let c(u) = 3. Let l(m) = -510*m + 132. Let v(s) = 3*c(s) - l(s). Is v(8) composite?
True
Suppose 0 = -48*u + 43876 + 30140. Let v(s) = s**3 - 4*s**2 + s - 1. Let m be v(4). Suppose -m*a = -a - u. Is a a composite number?
True
Suppose -44*s - 2*u = -47*s + 27593, 2*s - 18358 = -4*u. Is s prime?
False
Suppose -b + 4944 = -3*q, -q - 3*b - 1648 = 2*b. Is (q/80)/((-3)/645) prime?
False
Let k(p) = -3*p + 802. Let o(s) be the third derivative of -s**4/3 + 401*s**3 + 15*s**2. Let j(q) = -14*k(q) + 5*o(q). Is j(0) a composite number?
True
Let v(b) = -8*b + 306*b + 155*b + 141*b - 83. Is v(24) a composite number?
False
Let t(n) = 5 - 3*n**2 + 6*n**2 + 6 + 4*n. Suppose 4*m = 2*f + 22, -5*m + 66*f = 67*f - 45. Is t(m) a composite number?
True
Let l(q) = -q**3 - 5*q**2 - 4*q + 3. Let p(t) = -2*t**3 - 9*t**2 - 7*t + 5. Let f(a) = -7*l(a) + 4*p(a). Let n be f(-2). Is ((-658)/n)/(2/(-3)) prime?
False
Suppose -85 = 3*y - 4*k - 80, 0 = 4*y - 4*k. Let z(w) = 0*w**2 - 3*w**2 + 4*w + 7*w**2 + 11. Is z(y) prime?
True
Suppose -2*r + 5*r - 61764 = -4*p, -7*r = p - 15441. Is p a composite number?
True
Let w = -91 - -94. Suppose 3*v - 15 = -w. Suppose -v*j + 7601 = 7*j. Is j a composite number?
False
Let i(d) = -5*d**2 - 4*d + 2. Let u be i(1). Is (-51035)/(-35) - 6/u composite?
False
Let k = 218873 + -56962. Is k composite?
False
Suppose p - 4*p = -2*i - 11, p - 21 = 5*i. Let f be ((-136)/170)/(p/(-5)). Suppose 3*g + 9 = 0, -f*m + 4*g = 20 - 2004. Is m prime?
False
Let p(v) = -30 - 68*v - 64*v - 169*v. Is p(-4) composite?
True
Suppose 6*g + 414 = -0*g. Suppose -v - 2*v - 138 = 0. Is (-422)/(-3)*g/v composite?
False
Suppose 5*o + 84997 = 2*z, 2*o = 5*o + 9. Is z composite?
False
Let p(l) = 2*l**3 - 9*l**2 - 14*l - 40. Let f = 862 + -845. Is p(f) composite?
False
Let g(n) = -n**3 + 6*n**2 - 5*n + 2. Let u be g(5). Suppose 3294 = 4*t - u*c, -t - 4*c - 135 = -981. Suppose -5*p - 191 = -t. Is p a prime number?
True
Let h be (-2)/(-18) - 21498013/(-153). Suppose 40*p - h = 30*p. Is p composite?
False
Let i(y) = 12*y + 63 + 9*y**2 - 26*y - 84. Is i(17) a prime number?
False
Let c(t) = 418*t**2 - 21*t - 3. Let v = 6 - 10. Is c(v) a composite number?
True
Let w(r) be the second derivative of 23*r**6/360 - 19*r**5/120 - 13*r**4/12 - r**2 - 43*r. Let x(t) be the third derivative of w(t). Is x(11) prime?
True
Let r = 61342 - 1143. Is r a composite number?
True
Let x be (2/(-7))/(10/(-70)). Let l be (-1)/(x/(-210) - 0). Is l - (-16)/((-12)/(-3)) composite?
False
Suppose 38*d - 12 = 39*d. Is ((-20)/d)/(1/(-3)) + 756 prime?
True
Suppose -5*o + 1252 = -3*j - 9, -j = -3. Let c = 60 - 60. Suppose c = 5*g - 9519 + o. Is g a prime number?
False
Is (-2)/2*-456767 + (-11 - -7) a prime number?
True
Is (-3 + 286856/(-16))*-2 composite?
False
Let h(a) = 2*a**3 - 8*a**2 - 52*a + 94. Let l be (-4 + (-63)/(-18))*-52. Is h(l) a prime number?
False
Suppose -34*b - 31*b - 48*b + 1039261 = 0. Is b a prime number?
False
Let q(s) = 38*s**2 + 2*s + 21. Let k = 32 + -27. Let t be q(k). Suppose 4*o - t = o. Is o a prime number?
False
Let m be (-5)/10*2 + -4 - 2. Is 2*m/14*-3437 a prime number?
False
Suppose -56895 = -5*q - 5*h, -22750 = 7*q - 9*q - 4*h. Is q composite?
False
Let t(a) be the second derivative of 25*a**4/12 + a**3/6 - 7*a**2/2 + 6*a. Let j be 5/(-2)*8/(-5)*1. Is t(j) a prime number?
True
Let n(l) = l**3 - 12*l**2 + 9*l + 23. Suppose 2*f - 3*t = 26, -4*f + 5*t - t + 48 = 0. Suppose -5*v - 70 = -f*v. Is n(v) composite?
False
Let r(a) = -3598*a - 4697. Is r(-85) a prime number?
False
Let n(c) = -68*c - 97. Let k(a) = -68*a - 96. Let r(o) = -4*k(o) + 5*n(o). Is r(-6) a prime number?
True
Suppose 6*l = -8*l + 14. Is (-8)/16 - l/((-2)/5771) prime?
False
Let s = -2986977 + 4889434. Is s a composite number?
False
Is 621061 + (-170)/(-17) - 12 composite?
False
Let j = -1276 + 1916. Let i = 1047 - j. Is i a composite number?
True
Let g(q) = 78*q**2 - q - 2. Let p be g(-2). Let m be (-1)/(12/1887) + (-10)/(-40). Let c = p - m. Is c a composite number?
True
Suppose 10*y = -7*y + 896 + 1773. Is y composite?
False
Suppose 0 = 4*x + w - 8218, 8*x - 6160 = 5*x + w. Let n(q) = -1099*q. Let l be n(1). Let i = x + l. Is i a prime number?
False
Let f(s) = 3*s + 1. Let y(q) = -280*q - 164. Let u(n) = 3*f(n) + y(n). Is u(-30) a composite number?
True
Let u(p) = 14*p - 24. Let a be u(-7). Let n = -122 - a. Suppose 0 = 12*x - n*x - 10668. Is x prime?
False
Suppose 0 = 40980*m - 40982*m + 308102. Is m composite?
True
Suppose 5*c - 6 = 11*c. Is (7818 - 1)*-1*c a prime number?
True
Let y = -4320 + 8623. Let j = y - 2020. Is j prime?
False
Let u = 7899 + 9848. Is u prime?
True
Let t = 79323 - 45644. Is t composite?
False
Suppose i = 3 + 3. Let r be i/(-3*(-4)/1476). Is r - ((-3)/(-4) - 2/(-8)) prime?
False
Suppose 23720222 = 70*h - 26398308. Is h composite?
True
Is -5 - -3 - (-65)/30 - (-159224318)/132 a composite number?
True
Suppose 2476030 = 2*m - 2*j, 422915 = 2*m - 4*j - 2053099. Is m a prime number?
True
Let u = -670010 - -1208433. Is u a prime number?
True
Let f = 9715 - 1149. Suppose 4334 = 3*w + 4*h - 792, -f = -5*w - h. Is w a prime number?
False
Let y(q) = q**3 - 12*q**2 - 15*q + 24. Let h be y(13). Is ((-41436)/27)/(h/3) a prime number?
False
Let j be (-38 + 38)/(3 + -1). Suppose -5*b - 1641 + 7526 = j. Suppose -f + b - 8564 = -4*s, -5*f - 5536 = -3*s. Is s prime?
True
Let o(g) = -g**3 + 6*g**2 - 8*g. Let c = -10 + 14. Let t be o(c). Suppose t = -q + 471 + 584. Is q prime?
False
Let o(u) = u**2 + 10*u - 27. Let m be o(-13). Let w be (-459)/(-2)*16/m. Let k = 437 - w. Is k a composite number?
False
Let p = -1933 - 283. Let o = 16981 + p. Is o composite?
True
Let v(x) = -x**3 - 2*x**2 + 7*x - 8. Let n(w) = w**3 - 8*w**2 + 5*w - 22. Let o be n(8). Suppose 0 = 37*h - 40*h - o. Is v(h) a composite number?
True
Suppose 8*l - 10 = 134. Suppose -l*x + 1720 = -6758. Is x prime?
False
Let s be 7 + (-1)/1 + (-16 - -16). Suppose 543 = 9*q - s*q. Suppose -2*c - h = -162, -q = -3*c + h + 72. Is c a prime number?
True
Let j(h) = 9296*h**2 + 76*h - 51. Is j(5) composite?
True
Is ((-2)/(-8))/(4/23990736*21) a composite number?
True
Suppose -2*q - c = q - 38, 4*c = -2*q + 22. Let r = q + -25. Is (114/r)/((-1)/14) composite?
True
Suppose 8 = 2*l + 4*x, 2*x = 5*l - 2*l + 20. Let z be (-4428)/l - (-4)/1. Suppose -1804 = -5*g + z. Is g composite?
True
Let k be -1 + 2842 + 1*10/5. Let q = -1144 + -28. Let r = k + q. Is r a composite number?
True
Let t = -4 - -6. Let w be 5/(-1) + 432/54. Suppose l - 3*h - 365 = 93, -t*h = -w*l + 1353. Is l composite?
False
Suppose 16*k + 8*k - 96 = 0. Suppose -4*z + 5182 = 2*j, 5*z = k*j + j + 6500. Is z prime?
True
Let o(t) = 27*t**2 - 9*t + 5. Let h(q) = 3*q - 29. Let g be h(12). Let v be (8 - 0) + (8 - g). Is o(v) composite?
False
Let b(f) = f**2 - 3*f - 2. Let w be b(-2). Suppose 0*k + 5*k + 2*k = 0. Suppose -200 = -n - l, -3*n + w*n - 4*l - 991 = k. Is n prime?
True
Suppose 258*n = 261*n - 877551. Is n a prime number?
True
Suppose 0 = 4*y - 2 - 6. Let w be 5 + 0 - (0 + y). Suppose w*b = -b - h + 504, -4*b = -4*h - 524. Is b composite?
False
Let s = -201087 - -593998. Is s composite?
False
Is (10 + -1)/(-3) + 1578/3*2222 prime?
False
Let n(z) = -z - 1. Let c(t) = 285*t + 10. Let d(k) = -c(k) + 3*n(k). Is d(-8) prime?
False
Let o be 39/195 + (12418/(-10))/(-1). Let j = o - -2147. Is j composite?
False
Let u = -122 - -107. Let o be (6/u)/((-2)/(-670)). I | {
"pile_set_name": "DM Mathematics"
} |
order.
x, l, -3
Let y be 6/3 - (-1936)/(-14). Let t = -136 - y. Let u = 53.4 + -53. Put t, u, -4 in ascending order.
-4, t, u
Let i = -0.1 - 0.4. Let f be (1/(-3))/(4/(-6)). Let o be (70/(-24) - -3)*3. Put i, f, o in ascending order.
i, o, f
Let q(s) be the second derivative of s**4/12 - 5*s**3/6 + 3*s**2/2 - 14*s. Let j = 4 - -1. Let f be q(j). Sort f, -5, -3 in increasing order.
-5, -3, f
Let x = 0 + -2. Let v = 5.4 - 5. Let i(b) = -b**3 - 5*b**2 + 5*b - 9. Let a be i(-6). Put v, a, x in ascending order.
a, x, v
Suppose 45*f - 46*f - 3 = 0. Put 0, -1, f in decreasing order.
0, -1, f
Let i(l) = 7*l + 18. Let v(u) = 3*u + 9. Let j(z) = -2*i(z) + 5*v(z). Let c be j(-9). Sort -4, -1, c in increasing order.
-4, -1, c
Suppose -2*w - 3*t + 5 = 0, 0 = -2*w + 2*t - 0*t. Let d be -2*1*(-1)/(-2). Suppose -3*x = -0*x. Put d, x, w in decreasing order.
w, x, d
Let w = 3 - 2.9. Let i = 0.2 - w. Suppose 5*z + 5*n = 0, 3*z - 4*n + 0 + 21 = 0. Sort 0, z, i in descending order.
i, 0, z
Let w = 1 + 2. Let o be w/5*(-2 - -3). Let h = -0.08 - 0.92. Put h, 4, o in descending order.
4, o, h
Let h be 48/10*(-65)/(-26). Sort -1, h, 4 in decreasing order.
h, 4, -1
Let h be 3 - (4 + -5 + -1). Put 3, -3, h in ascending order.
-3, 3, h
Let g be (-56)/(-10) - (-9)/(-15). Suppose -3*t + g = -2*t. Put -1, -5, t in decreasing order.
t, -1, -5
Let t be (7 - 3)/(-12)*(14 - -1). Suppose 3 + 0 = y. Put -3, y, t in decreasing order.
y, -3, t
Let g = -16 - -14. Sort g, 4, -0.04.
g, -0.04, 4
Let d(p) = p**3 + 4*p**2 - 5. Let c be d(-4). Let l be 1/((4/16)/((-4)/(-8))). Put 5, c, l in ascending order.
c, l, 5
Suppose -6*n = -n + 3*a - 254, -3*a - 187 = -4*n. Let v be 4067/84 + 1/(-6). Let q = v - n. Sort -0.1, 1/2, q in descending order.
1/2, -0.1, q
Suppose -11 = -2*n - 3. Suppose -2*l + 4*l = 10. Suppose -20 = -l*b + b. Put n, b, -5 in ascending order.
-5, n, b
Let n = 47.3 + -42.17. Let q = n + -0.13. Sort 2, 0.1, q in descending order.
q, 2, 0.1
Let p = 0.029 + 3.971. Put p, -1/8, 13 in ascending order.
-1/8, p, 13
Let v = -3 + 3. Let x = -0.06 - -0.46. Let z be 0/2 - 14/(-49). Sort x, v, z.
v, z, x
Let t = -7 - -10. Let i be t - ((-159)/(-51) + 0). Put -0.3, 2, i in ascending order.
-0.3, i, 2
Suppose -3*i + 3*l + 18 = 0, -l - 14 = -2*i - 4. Suppose i*z + z = -15. Let u = 9 + -14. Sort u, z, 3 in descending order.
3, z, u
Let g(v) = v**2 + v - 2. Let m be g(2). Let j(b) = -b**2 + 6*b + 16. Let d be j(8). Sort m, d, -2.
-2, d, m
Let x(g) = 2*g**3 - 3*g**2 + g + 1. Let b(t) = t**3 - 2*t**2 + t. Let f(n) = -7*b(n) + 3*x(n). Let s be f(3). Sort 5, -5, s in decreasing order.
s, 5, -5
Let n be (118/231)/(2/6). Let l = -12/7 + n. Suppose -5*b = i - 0*i + 17, 0 = 5*b - i + 23. Sort -0.2, l, b in increasing order.
b, -0.2, l
Let m = 0.7 + 3.3. Let d = 0.01 + 0.39. Put m, -0.3, d in increasing order.
-0.3, d, m
Let f(n) = n**2 - 6*n - 3. Let b be f(6). Suppose -3*d - 4 = d. Let z = d - -2/3. Sort z, b, 0 in descending order.
0, z, b
Suppose 8*l - 3*l = 60. Let y be (-6)/l*(0 - 0). Let x = -8 + 13. Sort y, 1, x in ascending order.
y, 1, x
Let i(r) = r**2 + 8*r. Let b be i(-8). Suppose 0*l = 5*l + 2*a - 6, b = 2*a - 6. Sort l, -2, -3.
-3, -2, l
Let c(s) = -s**3 + 5*s**2 + s - 3. Let p be c(5). Suppose 2 = 4*g - p. Sort 4, g, 5 in increasing order.
g, 4, 5
Let u = -295 - -290. Let c = -13.6 - -15.62. Let d = -0.02 + c. Sort d, -1/6, u in decreasing order.
d, -1/6, u
Let a be 3*(-3)/3 - -3. Sort -2, -1, a in increasing order.
-2, -1, a
Suppose -x - 6 = -4*x. Suppose 0 = -4*d - 5*v - 41, -2*d - 12 = x*v + 6. Suppose -j + 4*b = -3*j - 8, 5*b + 21 = 3*j. Put 4, j, d in descending order.
4, j, d
Let d(m) = m**3 + 11*m**2 - 13*m - 9. Let l be d(-12). Sort 1, l, -1/3 in increasing order.
-1/3, 1, l
Let t(j) = 2 + j + 7 - 3. Let k be t(-6). Put k, 3, -5 in decreasing order.
3, k, -5
Suppose -4*f = 4*l - 3*l, 14 = -l + 3*f. Let n(q) = -q - 10. Let g be n(l). Let w = 2 - 6. Put w, 4, g in ascending order.
w, g, 4
Let l be 5*(0 - (-9)/15). Let t be 12/(-2) + 1 + 1. Sort t, 4, l in increasing order.
t, l, 4
Let v be (-2 + 2)*(-2)/2. Let t be (-2)/(-4*3/(-24)). Put v, 0.1, t in increasing order.
t, v, 0.1
Let z(l) = -l - 7. Let d be z(-8). Put d, 0, 3 in decreasing order.
3, d, 0
Let g(v) = -v - 1. Let k be g(4). Suppose -2*a + 4*a = -p - 3, 3*p + 3*a = -9. Sort p, -1, k in descending order.
-1, p, k
Let v = -0.7 + 0.83. Let g = -8.87 - v. Let u = g - -9.1. Put u, 1, -1/4 in ascending order.
-1/4, u, 1
Let a be 4/6 - (1 - 51/18). Put -0.1, a, 28 in decreasing order.
28, a, -0.1
Let q(p) = p**2 + 4*p + 4. Let f(u) = -3*u**2 - u - 1. Let s be f(-1). Let l be q(s). Suppose v - 3*k + 23 = 3*v, 4*v = 3*k + 1. Sort v, 2, l.
l, 2, v
Let a(w) = w**3 - 7*w**2 + 11*w - 1. Let n be a(5). Sort n, -5, -9.
-9, -5, n
Suppose 4*g - 12 = -0*g, g - 23 = -4*x. Let c be 0/1*(-3)/(-3). Suppose s + c*s = -x. Put 4, s, 2 in increasing order.
s, 2, 4
Let j = 1.16 + 0.84. Sort -0.3, 4/7, j in decreasing order.
j, 4/7, -0.3
Let i be (2/3)/(1/3). Sort -5, -15, -1, i in increasing order.
-15, -5, -1, i
Let k = -21.9 - -23. Let s = k + -1. Let h = 2 + -1. Sort s, h, 2 in increasing order.
s, h, 2
Let n be -4*(3/(-10))/((-6)/5). Let z(v) = v**2 - 9*v + 5. Let g be z(8). Sort g, 0, n.
g, n, 0
Let f = 0 + -5. Let g = -3 - f. Let o = 0.4 + -0.3. Put o, g, -1/4 in decreasing order.
g, o, -1/4
Suppose 3*o = 2*o - 6. Let p = 6 + o. Suppose 0 = -h + 2*a - 0*a - 5, -h + 4*a = 11. Put p, h, 4 in ascending order.
p, h, 4
Suppose 4*q = -q. Suppose -2*f - 6 = -q*f. Let u(r) = r - 2. Let g be u(f). Sort g, 2, -2/5.
g, -2/5, 2
Let t = 9 + -11. Let k = 64 - 255/4. Sort t, k, 1/10 in descending order.
k, 1/10, t
Let a be (-6)/4 - (-3)/(-2). Put a, 3, 5 in descending order.
5, 3, a
Suppose -4 + 0 = -4*o. Sort -6, o, 3 in increasing order.
-6, o, 3
Let b = 68.95 + -74. Let k = b - -0.05. Suppose -20 = -0*u - 5*u, 4*y - 5*u = -32. Put 3, y, k in increasing order.
k, y, 3
Let v be (2 - -1) + -7 - -3. Suppose 2*y - 17 = -1. Let w = y - 12. Sort w, v, -3 in decreasing order.
v, -3, w
Let q(r) = 1. Let w(g) = -g - 1. Let a(s) = -q(s) - w(s). Let b be a(-14). Sort -1/3, b, 2/7 in descending order.
2/7, -1/3, b
Let d be (-6)/(-18)*(-3)/4. Sort 5, d, -1/5 in ascending order.
d, -1/5, 5
Suppose 3*i = 2*k + k + 27, -5*i + 17 = 2*k. Sort 0, 2, i, 1.
0, 1, 2, i
Let h be (-25)/(-36) + 2/(-8). Let w = -111 - -223/2. Put w, -4, h in increasing order.
-4, h, w
Let q = -2.72 - 0.28. Sort -0.3, q, -2/7, -0.1.
q, -0.3, -2/7, -0.1
Let b = 1.932 - -0.028. Let f = b - -0.04. Sort 2/7, f, -0.5 in ascending order.
-0.5, 2/7, f
Let h = -2/1285 - 47493/33410. Let q = 23366/25285 + -2/1945. Let p = q + h. Sort p, -1/5, -5 in descending order.
-1/5, p, -5
Suppose 2*k - c + 7 = 0, -2*c = -5*k - 6*c + 15. Sort 1, -4, k in ascending order.
-4, k, 1
Let y(v) = -9*v - 7. Let c be y(-11). Let l = 553/6 - c. Sort -2/21, -3, l in descending order.
l, -2/21, -3
Let a = -33.7 - -34. Put a, -5, 0.1 in increasing order.
-5, 0.1, a
Suppose 25 = 2*j + 3*j, -j + 9 = 2*h. Let m(q) = -q**2 - 9*q + 12. Let c be m(-10). Suppose -c*g - 8 = -3*y + 2, -3*y = -6. Sort g, h, 0.
g, 0, h
Let c be ((-1 - 3) + -1)/1. Let h = 9 + c. Let g = -3 + h. Sort g, -5, 5 in ascending order.
-5, g, 5
Let w(b) = b**2 + 2*b. Let r be w(-2). Suppose x + 1 = t, r = 3*t - 5*x - 0*x - 5. Sort t, -2, 1.
-2, t, 1
Let k = 5.9 + -0.9. Let p = -1 - k. Let h = 6.4 + p. Put 0.3, -2/13, h in decreasing order.
h, 0.3, -2/13
Let t = 0.7 - -0.3. Suppose 3 = 2*w + 5. Let p be -3*(-2)/(-30)*w. Put 1/6, p, t in ascending order.
1/6, p, t
Let p be (10/(-25))/(6/5). Suppose -12 = -4*z + 4. Let d be ((-1)/(-3))/(z/(-8)). Sort -0.4, p, d.
d, -0.4, p
Let k = -42.2 - -42. Sort -4, 5, k.
-4, k, 5
Let i(c) = -c**2 + 10*c + 5. Let a be i(10). Let w = 1 - 0. Let f = 1.1 - w. Sort -0.2, a, f.
-0.2, f, a
Suppose 3*y + 4*b + 15 = 0, 3*y + 3*b + 8 + 7 = 0. Put y, 0, -4 in increasing order.
y, -4, 0
Let g = 617/7 + -88. Let o = 6 - 26. Let q be o/171 - (-4)/18. Sort q, -4, g in decreasing order.
g, q, -4
Suppose 5*u - 4 = -9. Let n(s) = s - 3. Let r(h) = 1. Let k(q) = n(q) + 4*r(q). Let l be k(1). Put l, u, -5 in descending order.
l, u, -5
Let r(k) = -k**2 - 8*k - 3. Let y be r(-7). Sort 1/3, y, 3.
1/3, 3, y
Let s(o) = -o**2 + 14*o + 10. Let h | {
"pile_set_name": "DM Mathematics"
} |
of sequence kkh.
1/126
Calculate prob of sequence ffr when three letters picked without replacement from {f: 5, r: 7, w: 4}.
1/24
Four letters picked without replacement from wwvwwvvwwvwwv. What is prob of sequence wvwv?
28/429
Three letters picked without replacement from hhhzhhhiihohzzohhhhh. What is prob of sequence hoi?
13/1710
Calculate prob of sequence hcce when four letters picked without replacement from {c: 9, h: 1, r: 2, e: 2}.
6/1001
Calculate prob of sequence nn when two letters picked without replacement from {n: 7, m: 5}.
7/22
What is prob of sequence ssp when three letters picked without replacement from pss?
1/3
What is prob of sequence eeeo when four letters picked without replacement from {o: 2, e: 16}?
14/153
Four letters picked without replacement from {l: 2, d: 1, g: 10, y: 1, u: 5, s: 1}. Give prob of sequence luul.
1/2907
What is prob of sequence czz when three letters picked without replacement from zczzzzzzzzzzz?
1/13
What is prob of sequence wwr when three letters picked without replacement from {r: 9, w: 9}?
9/68
Calculate prob of sequence sfgl when four letters picked without replacement from sgsfsflslgssssgg.
4/1365
Calculate prob of sequence bj when two letters picked without replacement from jkjkkkjkjjbabkakjdn.
2/57
Calculate prob of sequence fft when three letters picked without replacement from fppfpuzptp.
1/360
Two letters picked without replacement from {x: 4, m: 1, n: 1, r: 2}. What is prob of sequence mr?
1/28
Three letters picked without replacement from {c: 1, d: 5, s: 4}. Give prob of sequence ssd.
1/12
Two letters picked without replacement from {l: 2, h: 1, x: 3, f: 9, b: 4}. What is prob of sequence xx?
1/57
What is prob of sequence do when two letters picked without replacement from {o: 8, d: 2, j: 2, y: 2}?
8/91
Calculate prob of sequence uewu when four letters picked without replacement from {e: 1, u: 2, j: 4, s: 1, w: 2, t: 2}.
1/2970
Three letters picked without replacement from {x: 4, r: 8, i: 2}. Give prob of sequence xxx.
1/91
Two letters picked without replacement from jjjejjjtjeerjtejjjj. Give prob of sequence jr.
2/57
Four letters picked without replacement from beeiiibeei. What is prob of sequence iibb?
1/210
What is prob of sequence dzz when three letters picked without replacement from {z: 12, v: 1, o: 4, d: 2}?
44/969
Three letters picked without replacement from {o: 3, n: 3}. What is prob of sequence nnn?
1/20
Four letters picked without replacement from {k: 2, l: 1, d: 3, j: 4, q: 6}. What is prob of sequence kqld?
3/3640
Three letters picked without replacement from {j: 6, f: 2}. What is prob of sequence jjf?
5/28
Four letters picked without replacement from wvxvwijs. What is prob of sequence vxsi?
1/840
Two letters picked without replacement from oddoddodoqtdc. What is prob of sequence ot?
1/39
Four letters picked without replacement from {v: 3, n: 1, z: 3, b: 1, o: 2, c: 1}. Give prob of sequence vobo.
1/1320
Calculate prob of sequence cmc when three letters picked without replacement from chccmwqqc.
1/42
Calculate prob of sequence ozzo when four letters picked without replacement from zzozzzooozz.
7/110
Three letters picked without replacement from ezozzezlzpez. What is prob of sequence ple?
1/440
Four letters picked without replacement from {h: 1, u: 3, x: 1, m: 1, f: 5, b: 1}. Give prob of sequence umhh.
0
Calculate prob of sequence jv when two letters picked without replacement from ttvtnzj.
1/42
Two letters picked without replacement from {r: 3, j: 1, g: 6, x: 3, b: 6, k: 1}. What is prob of sequence rx?
9/380
Calculate prob of sequence uu when two letters picked without replacement from ufffufff.
1/28
What is prob of sequence ppjz when four letters picked without replacement from {j: 1, z: 1, w: 2, p: 2, a: 1, f: 2}?
1/1512
Three letters picked without replacement from {y: 1, n: 1, j: 1, q: 1, x: 1}. What is prob of sequence nyj?
1/60
What is prob of sequence gf when two letters picked without replacement from zflgpwzw?
1/56
Three letters picked without replacement from nqqnqqnnqnnnnnnqnnq. Give prob of sequence qqq.
35/969
Calculate prob of sequence hax when three letters picked without replacement from ahxayy.
1/60
Calculate prob of sequence qkkk when four letters picked without replacement from frjkjjqfrjkf.
0
Calculate prob of sequence cax when three letters picked without replacement from {a: 2, s: 2, q: 4, x: 1, c: 2, r: 9}.
1/1710
Two letters picked without replacement from hhhhhhhhchhc. What is prob of sequence hh?
15/22
What is prob of sequence zujz when four letters picked without replacement from uuzzj?
1/30
Three letters picked without replacement from qqvqhqvwvhvhvvqv. Give prob of sequence vhh.
1/80
Calculate prob of sequence nbnn when four letters picked without replacement from {b: 3, n: 12}.
11/91
Four letters picked without replacement from ukoukwkutuukkl. Give prob of sequence tkko.
5/6006
Three letters picked without replacement from mmmmbmymm. What is prob of sequence bmy?
1/72
What is prob of sequence ydq when three letters picked without replacement from {j: 2, y: 5, d: 5, q: 5}?
25/816
What is prob of sequence nnun when four letters picked without replacement from {s: 2, e: 2, c: 3, u: 1, t: 1, n: 3}?
1/1980
Two letters picked without replacement from {h: 7}. Give prob of sequence hh.
1
What is prob of sequence nbe when three letters picked without replacement from fvfevebnx?
1/252
Calculate prob of sequence bd when two letters picked without replacement from bbqqdqqqqmmm.
1/66
Calculate prob of sequence xkkk when four letters picked without replacement from {k: 7, m: 4, x: 5}.
5/208
Three letters picked without replacement from {q: 1, c: 7, i: 1}. What is prob of sequence qic?
1/72
Four letters picked without replacement from {t: 2, x: 2, v: 6, e: 1, f: 7}. Give prob of sequence ttxx.
1/18360
Calculate prob of sequence lmmy when four letters picked without replacement from {j: 3, a: 1, y: 1, l: 3, m: 2, e: 1}.
1/1320
Three letters picked without replacement from {q: 7, m: 7}. What is prob of sequence mqq?
7/52
Calculate prob of sequence gbbb when four letters picked without replacement from {d: 4, b: 3, g: 1, e: 3, j: 8}.
1/15504
Two letters picked without replacement from ymnbwmn. Give prob of sequence wb.
1/42
Three letters picked without replacement from falpgge. Give prob of sequence fea.
1/210
Calculate prob of sequence cc when two letters picked without replacement from rcwrrrrrgczgc.
1/26
Two letters picked without replacement from {o: 4, h: 1, b: 3, g: 2, x: 2, a: 2}. Give prob of sequence gb.
3/91
Two letters picked without replacement from qbqqbqqbbqbiiqqqqbqb. What is prob of sequence bq?
77/380
Two letters picked without replacement from uuxxuuxuxxxuuxxxuuuu. What is prob of sequence uu?
11/38
Two letters picked without replacement from {w: 1, m: 9, o: 1, t: 1}. What is prob of sequence om?
3/44
Calculate prob of sequence ana when three letters picked without replacement from {c: 1, v: 3, e: 1, a: 3, j: 2, n: 1}.
1/165
Two letters picked without replacement from tdkbbtmbbm. Give prob of sequence dm.
1/45
Calculate prob of sequence pq when two letters picked without replacement from {z: 10, q: 1, o: 1, p: 1}.
1/156
Four letters picked without replacement from {l: 3, q: 6, e: 3, f: 2, g: 4}. Give prob of sequence fgqq.
1/306
What is prob of sequence bb when two letters picked without replacement from ybybbbbieeybebbeee?
28/153
What is prob of sequence vi when two letters picked without replacement from oitfvbf?
1/42
Calculate prob of sequence krdr when four letters picked without replacement from krzkdrrdddzd.
1/198
Two letters picked without replacement from {r: 9, w: 3}. Give prob of sequence ww.
1/22
Calculate prob of sequence dc when two letters picked without replacement from cddsdddcdsdcdrddsddd.
39/380
Calculate prob of sequence fx when two letters picked without replacement from txiiqimitiitixixfm.
1/102
Calculate prob of sequence djdd when four letters picked without replacement from {d: 3, j: 1}.
1/4
What is prob of sequence www when three letters picked without replacement from {w: 10}?
1
Four letters picked without replacement from {n: 2, w: 1, l: 2, r: 2, o: 4, a: 8}. Give prob of sequence lala.
7/5814
Four letters picked | {
"pile_set_name": "DM Mathematics"
} |
t k(h) = 11*o(h) + 2*q(h). What is the second derivative of k(t) wrt t?
14
Let v(r) be the second derivative of -r**6/40 - 13*r**5/60 + 5*r**2 + 9*r. Let b(f) be the first derivative of v(f). What is the third derivative of b(y) wrt y?
-18
Let y(m) be the third derivative of -71*m**5/10 + 161*m**3/3 + 382*m**2. Find the first derivative of y(v) wrt v.
-852*v
Suppose -2585 + 751 = -7*o. Find the third derivative of -220*i**3 + o*i**3 - 7*i**2 - 19*i**2 wrt i.
252
Differentiate 19*g**2 - 18*g**2 - 12*g**4 - 13 + 35*g**4 wrt g.
92*g**3 + 2*g
Suppose 5*n = -h + 4*n + 5, 0 = 4*n - 8. Suppose -7*o - 17 = y - h*o, -3*o - 15 = 0. Find the second derivative of u**5 - 4*u**5 - u + y*u + u wrt u.
-60*u**3
Let u(n) be the third derivative of -n**8 + 181*n**4/8 - 229*n**2 - 2. Find the second derivative of u(h) wrt h.
-6720*h**3
Let h(p) be the first derivative of -p**6/2 - 3*p**4/4 + 8*p - 1. Let u(d) be the first derivative of h(d). Find the third derivative of u(i) wrt i.
-360*i
Let r(k) be the first derivative of 444*k**5/5 - k**3 - 86*k + 583. Find the third derivative of r(y) wrt y.
10656*y
Let h(m) be the third derivative of -7*m**6/180 + m**4/8 + 5*m**3/6 - 3*m**2. Let d(w) be the first derivative of h(w). Find the first derivative of d(r) wrt r.
-28*r
Let b be -2 - -1*(-4)/1. Let a(q) = -32*q - 4. Let w(z) = -64*z - 9. Let s(m) = b*w(m) + 11*a(m). What is the derivative of s(y) wrt y?
32
Let s(v) be the first derivative of v**8/48 - 3*v**4/8 + 3*v**2 + 8. Let c(f) be the second derivative of s(f). What is the second derivative of c(l) wrt l?
140*l**3
Differentiate -10 - 14 + 429*y - 6 + 3 - 3 with respect to y.
429
Let f = 584 - 584. Let i(v) be the third derivative of -7*v**2 + 1/40*v**6 + 0*v**3 + 0*v + 0*v**4 + f + 1/10*v**5. What is the third derivative of i(x) wrt x?
18
Let d(h) be the first derivative of -301*h**3 + 991*h - 462. What is the first derivative of d(f) wrt f?
-1806*f
Differentiate -67*k + 122*k + 18 + 60*k - 8 + 21 wrt k.
115
Let y(b) be the third derivative of b**8/84 - b**7/105 + b**5/60 - b**4/24 + 50*b**2. What is the third derivative of y(j) wrt j?
240*j**2 - 48*j
Let g(o) = 200*o + 92. Let k(i) = 7. Let j(v) = -g(v) - k(v). What is the derivative of j(w) wrt w?
-200
Differentiate 47 - 3*p**2 + 4*p**2 + 6769*p - 6909*p wrt p.
2*p - 140
Let w be (0/(-1))/(-10 + 12). Let d be (-16)/6*18/(-8). Find the second derivative of -q**2 + 0*q**2 + w*q - 2*q + d*q wrt q.
-2
Let a be (170/17)/((-2)/(-4)). Find the third derivative of -12*g**6 - 10 - a*g**6 - 4*g**2 - 13*g**6 + 15 wrt g.
-5400*g**3
Let t(z) be the second derivative of -z**5/40 - 5*z**4/12 + 3*z**3/2 - 14*z. Let o(p) be the second derivative of t(p). What is the derivative of o(i) wrt i?
-3
Let u(v) be the first derivative of -47*v**3/3 + 21*v - 80. Differentiate u(h) with respect to h.
-94*h
Let u(l) = -66*l**5 - 18*l**4 - 6*l**3 - 741*l**2 - 18*l. Let i(o) = -o**5 - o**4 - o. Let c(f) = 18*i(f) - u(f). What is the third derivative of c(w) wrt w?
2880*w**2 + 36
Let a(v) be the second derivative of v**3/6 + 7*v**2/2 + 4*v. Let p be a(-5). Find the second derivative of l**p - 3*l + l + l - 2*l wrt l.
2
Let t(o) be the second derivative of 0 + 2*o**2 + 1/2*o**4 + 4*o + 0*o**3. What is the first derivative of t(c) wrt c?
12*c
Let p(z) be the first derivative of z**6/6 - 37*z**4/4 + 11*z**3 + z + 115. What is the third derivative of p(l) wrt l?
60*l**2 - 222
Let g(s) be the third derivative of 0 + 0*s + 0*s**7 + 0*s**6 + 0*s**3 - 3/8*s**4 + 1/12*s**8 + 0*s**5 + 18*s**2. What is the second derivative of g(o) wrt o?
560*o**3
Let v = 562 - 556. Suppose -w = -3*w + 8. What is the third derivative of -w*q + 25*q**6 + 4*q - 30*q**v + 11*q**2 wrt q?
-600*q**3
Let r(t) = -t**3 + 5*t**2 + 6*t + 2. Let m be r(6). Find the third derivative of -130*w**m - 10*w**6 - 2*w**3 + 2*w**3 + 109*w**2 wrt w.
-1200*w**3
What is the third derivative of -273*f**2 - 89*f**4 + 42*f - 55*f + 13*f wrt f?
-2136*f
Let f(q) be the second derivative of q**8/80 + q**5/120 - 2*q**3 - 20*q. Let i(t) be the second derivative of f(t). Find the second derivative of i(m) wrt m.
252*m**2
Let a = -2569 + 2572. Let b(d) be the second derivative of 3*d**2 - 3*d + 0*d**4 + 0 + 7/20*d**5 + 0*d**a. What is the first derivative of b(t) wrt t?
21*t**2
Let r = -6 - 14. Let a = -15 - r. What is the third derivative of -6*s**a - 5*s**2 - s**2 + 0*s**2 wrt s?
-360*s**2
Suppose 30*f = 26*f + 3692. What is the second derivative of f + 6*k + 11*k**3 - 923 wrt k?
66*k
Let l(i) = 15*i + 310. Let k(d) = 5*d + 103. Let v(u) = 11*k(u) - 4*l(u). What is the derivative of v(b) wrt b?
-5
Let u(a) be the second derivative of 246*a**5/5 + 969*a**2/2 - 180*a. What is the first derivative of u(b) wrt b?
2952*b**2
Let d(g) = g**3 - 5*g**2 + 2*g - 4. Let w be d(5). Find the second derivative of -w*c**5 + c - c**5 + 5*c - 2*c**5 wrt c.
-180*c**3
Let t(z) be the first derivative of 13*z**7/105 + z**5/15 - 15*z**2/2 - 6. Let f(j) be the second derivative of t(j). Find the third derivative of f(q) wrt q.
624*q
Suppose 3*n + n = 32. What is the third derivative of n*q**2 - 13*q**3 + 14*q**3 + 20*q**2 wrt q?
6
Let m(h) = 3*h. Let c be m(1). Let r = c + 1. What is the second derivative of 4*n + 3*n**4 + 0*n**r + n wrt n?
36*n**2
Let s(t) = -45*t**4 - 7*t**2 - 7*t + 149. Let j(z) = 45*z**4 + 6*z**2 + 6*z - 149. Let l(n) = 7*j(n) + 6*s(n). Differentiate l(k) with respect to k.
180*k**3
Let x(b) be the first derivative of 9/2*b**2 + 6*b**3 - 21 + 1/2*b**4 + 0*b. Find the second derivative of x(m) wrt m.
12*m + 36
Let m = 118 + -114. What is the derivative of -22*s**m - 11*s**4 - 27 - 4*s**4 wrt s?
-148*s**3
Let i(t) = -9*t**4 - 2*t + 3. Let s(p) = -17*p**4 - 5*p + 6. Let o be (-1)/(-1)*(-5 - -10). Let v(j) = o*i(j) - 2*s(j). Find the first derivative of v(l) wrt l.
-44*l**3
Let y(d) be the second derivative of 13*d + 1/3*d**3 - 43/2*d**2 + 0. What is the first derivative of y(j) wrt j?
2
What is the third derivative of -2826049 - 1043*c**4 + 330*c**2 + 2826049 wrt c?
-25032*c
Let h(q) = -42*q**5 - q**3 - q - 5. Let f(r) = -21*r**5 - r**3 - 2. Let t(i) = -5*f(i) + 3*h(i). Find the second derivative of t(y) wrt y.
-420*y**3 + 12*y
Find the third derivative of 1 + 9*n**3 + 6*n**3 - 41*n**2 + 20*n**3 - n**3 wrt n.
204
Find the third derivative of x + 95156 - 2*x**2 - 95156 - 93*x**6 wrt x.
-11160*x**3
Let a(m) = -m**3 - 7*m**2 - 4*m + 15. Let h be a(-6). Differentiate 42*c**h - 5 - 30*c**3 - 6 wrt c.
36*c**2
Suppose u - 14 = -4*t, -13*t = -u - 12*t - 1. Let r(i) be the second derivative of u*i**2 + 2/3*i**3 + 0 - 10*i. Differentiate r(c) with respect to c.
4
Let m(c) be the third derivative of -59*c**6/24 + 77*c**5/10 - 10*c**2 - 22. Find the third derivative of m(u) wrt u.
-1770
Let u(n) = -117*n**2 - 110*n - 11. Let a(l) = 118*l**2 + 108*l + 9. Let b(c) = 5*a(c) + 4*u(c). What is the second derivative of b(s) wrt s?
244
Suppose 9*a + 78 = 3*a. Let i = a + 15. What is the second derivative of f + 2*f**3 - 12*f**2 + 7*f**3 + 12*f**i wrt f?
54*f
Find the third derivative of -590*q**6 + 1130*q**6 - 77*q**2 - 588*q**6 wrt q.
-5760*q**3
Find the second derivative of -1484 - 175*q**4 + 97*q + 739 + 745 wrt q.
-2100*q**2
Let r(i) = -2*i**2 - 4*i + 3. Let p(x) = -x**2 - 3*x + 4. Let n = -39 + 42. Let f(l) = n*r(l) - 4*p(l). What is the first derivative of f(m) wrt m?
-4*m
Let x(u) be the first derivative of 15*u**2/2 - 208*u - 356. Find the first derivative of x(a) wrt a.
15
Let d(y) = y**4 - y**3 - y**2. Let h(j) = -45*j**4 - 5*j**3 - 10*j**2 + 20*j. Let c(l) = 5*d(l) - h(l). Find the third derivative of c(t) wrt t.
1200*t
Suppose -3*k = -10 - 2. Find the second derivative of 6*x + x + 10*x**5 + 6*x + k*x**5 wrt x.
280*x**3
Let s(p) = 238*p**2 - 16*p - 26. Let x(w) = -119*w**2 + 9*w + 13. Let t(y) = 3*s(y) + 5*x(y). What is the second derivative of t(a) wrt a?
238
Let k(c) = 2*c**4 - c**3 + c. Let v(y) = y**4 + 46*y**3 - 163*y**2 + 2*y. Let s(b) = -2*k(b) + v(b). What is the third derivative of s(l) wrt l?
-72*l + 288
Let i(h) = h**2 + 1. Let u(o) = -2*o**2 + 3*o - 3. Let n = 14 - 4. Let k = n - 8. Let z(p) = k*u(p) + 6*i(p). Find the second derivative of z(d) wrt d.
4
Let x be (-2 - 6 - 0)*1. Let f = x - -17. Find the third derivative of f*b**3 + 0*b**2 + 4* | {
"pile_set_name": "DM Mathematics"
} |
s j?
-1, 0, 1
Let b(f) = -1. Suppose -16 = 5*g + 3*l - 5, -5*l + 3 = 3*g. Let n be -1 + 4 - (-8)/g. Let j(s) = -s**2 - 2*s - 1. Let z(w) = n*b(w) - j(w). Factor z(x).
x*(x + 2)
Suppose 19*w - 21 = 17. Factor 4/9*q**3 - 2/9*q**5 - 2/9*q + 2/9*q**4 - 4/9*q**w + 2/9.
-2*(q - 1)**3*(q + 1)**2/9
Let s = 1 + 1. Suppose 2*h = 3 + 1. Factor -2 + 5 + 1 - 2*c**s + 0*c**2 - h*c.
-2*(c - 1)*(c + 2)
Let h(k) be the second derivative of -k**7/168 - k**6/20 - 7*k**5/40 - k**4/3 - 3*k**3/8 - k**2/4 + 12*k. Solve h(c) = 0.
-2, -1
Let u be (780/378 - 2) + 4/18. Determine y so that 4/7*y**2 - u*y**5 - 2/7*y - 2/7 - 2/7*y**4 + 4/7*y**3 = 0.
-1, 1
Let w(a) be the second derivative of -2/21*a**7 + 2/15*a**6 + 0*a**2 + 2*a + 0*a**3 + 0 + 1/5*a**5 - 1/3*a**4. Factor w(l).
-4*l**2*(l - 1)**2*(l + 1)
Let h = 4 + -2. Let p = h - 0. Factor -10*w**3 + 11*w**4 - 2*w**2 - 4*w**p - 3*w**4 - 2 + 10*w.
2*(w - 1)**2*(w + 1)*(4*w - 1)
Let l = 1695/22 - 77. Let g(v) be the first derivative of 2/11*v + 4 - 2/33*v**3 - l*v**4 + 1/11*v**2. Factor g(a).
-2*(a - 1)*(a + 1)**2/11
Let z(r) be the third derivative of r**8/672 - r**7/168 + r**6/120 - r**5/240 - 10*r**2. Find t such that z(t) = 0.
0, 1/2, 1
Suppose 0 = -4*w - 0*v + 3*v - 36, -5*v = 4*w + 36. Let x = w + 13. Factor -5*n**3 - 4*n**4 + x*n**3 - n**2 + n + 5*n**4.
n*(n - 1)**2*(n + 1)
Let n be (-212)/(-480) - 4/10. Let i(c) be the second derivative of 0 - 2*c - 1/12*c**3 + 1/40*c**5 + 1/60*c**6 - n*c**4 + 0*c**2. Suppose i(m) = 0. What is m?
-1, 0, 1
Suppose 4/5*d**3 - 1/5*d**5 - 18/5 - 4/5*d**4 + 22/5*d**2 - 3/5*d = 0. What is d?
-3, -1, 1, 2
Suppose -6*w + 21*w**2 + 2*w - 3*w - 3*w**5 - 27*w**3 + w + 15*w**4 = 0. What is w?
0, 1, 2
Let l = -3 + 13. Find t such that 9*t**3 - l*t**5 + 0 + 26*t**4 - 27*t**3 - 2*t**2 + 0 + 4*t = 0.
-2/5, 0, 1
Let d(c) = -10*c**4 - 6*c**3 + 8*c**2 - 10. Let b(m) = m**4 + m**3 + 1. Let u(j) = 6*b(j) + d(j). Factor u(k).
-4*(k - 1)**2*(k + 1)**2
Let p(s) be the third derivative of s**6/420 + s**5/105 + 5*s**2. Factor p(q).
2*q**2*(q + 2)/7
Let g = 5 - 9/2. Let l(o) be the second derivative of 0*o**2 + 0 - 3*o - 3/20*o**5 - g*o**3 - 1/2*o**4. Suppose l(x) = 0. What is x?
-1, 0
Let i(k) = k**3 + 5*k - 2. Let f(b) = 3*b**3 + b**2 + 11*b - 5. Let m(o) = 2*f(o) - 5*i(o). Factor m(g).
g*(g - 1)*(g + 3)
Let k = -8 + 14. Let u(y) be the third derivative of -1/84*y**7 - 1/120*y**k + 0*y**4 + 2*y**2 + 0*y**3 + 0*y**5 + 0 + 0*y. Determine q so that u(q) = 0.
-2/5, 0
Let w(b) be the second derivative of -8*b**6/15 + 9*b**5/5 - 2*b**4 + 2*b**3/3 - 16*b. Factor w(d).
-4*d*(d - 1)**2*(4*d - 1)
Let k(w) be the second derivative of 1/140*w**6 - 1/105*w**5 + w**2 - 2*w + 0*w**3 + 0 + 0*w**4. Let a(z) be the first derivative of k(z). Factor a(u).
2*u**2*(3*u - 2)/7
Factor 2/21*y**4 + 2/21*y**3 - 2/21*y**2 - 2/21*y + 0.
2*y*(y - 1)*(y + 1)**2/21
Let u be (-13)/(-10) + (-3)/(-9). Let d(p) be the third derivative of 0*p + 0 - 7/3*p**4 + 4/3*p**3 - 2*p**2 + u*p**5. Determine o, given that d(o) = 0.
2/7
Suppose -1 = -d + 1. Find o such that -2*o + d*o**2 - 5*o**2 - 6*o - 4 - o**2 = 0.
-1
Factor -375*o + 152 - 5*o**3 - 38*o**2 - 37*o**2 - 777.
-5*(o + 5)**3
Solve -3*d**3 + 0*d**3 + d - 49*d + 21*d - 18*d**2 - 12 = 0 for d.
-4, -1
Let d(p) = -p**3 - 8*p**2 + 9*p - 6. Let t be d(-9). Let l(u) = u**3 + 5*u**2 - 5*u + 8. Let w be l(t). Factor -w*v**2 - 4*v + 2*v + 4*v**2 - 4*v**2.
-2*v*(v + 1)
Let f(r) be the second derivative of 3*r**5/50 - 7*r**4/20 + 7*r**3/10 - 3*r**2/5 - 7*r. Factor f(u).
3*(u - 2)*(u - 1)*(2*u - 1)/5
Let b(f) = -36*f**3 - 84*f**2 - 78*f + 15. Let m(q) = -5*q**3 - 12*q**2 - 11*q + 2. Let k(o) = -2*b(o) + 15*m(o). Find h, given that k(h) = 0.
-3, -1, 0
Let l(j) be the first derivative of 2*j + 1/6*j**4 + 0*j**3 + 0*j**2 - 1. Let i(h) be the first derivative of l(h). Factor i(b).
2*b**2
Let s(p) be the second derivative of 9/20*p**5 + 0 - p + 0*p**2 - 1/4*p**4 + 0*p**3 - 3/10*p**6 + 1/14*p**7. Solve s(q) = 0 for q.
0, 1
Let s be (4/6)/((-12)/(-9)). Let w - 1 - s*w**3 + 3/4*w**2 - 1/4*w**4 = 0. What is w?
-2, 1
Suppose 0 = 5*o - 5*l - 5, 7 = -o - 0*l + 3*l. Suppose 1 - 8*h - 7 - 2*h**4 - o*h**2 + 4*h**3 - 2 + 11*h**2 = 0. What is h?
-1, 2
Factor 0 + 1/4*l**2 + 0*l.
l**2/4
Let m(z) be the second derivative of 0 + 2*z + 0*z**2 - 2/15*z**3 + 1/75*z**6 + 1/6*z**4 - 2/25*z**5. Factor m(q).
2*q*(q - 2)*(q - 1)**2/5
Let 8*n - 11*n**3 - 4*n**2 + 3*n**3 + 2*n**4 + 2*n**4 = 0. What is n?
-1, 0, 1, 2
Let a(q) be the first derivative of 1/5*q**2 + 0*q**3 - 1/5*q - 7 + 1/25*q**5 - 1/10*q**4. Let a(f) = 0. What is f?
-1, 1
Solve 21/2*u + 147/4 + 3/4*u**2 = 0.
-7
Let y(s) be the second derivative of -s**7/630 + s**5/90 - s**3/18 - 3*s**2/2 - 3*s. Let x(z) be the first derivative of y(z). Determine g, given that x(g) = 0.
-1, 1
Suppose m = 2 - 0. Let r(y) = y - 1. Let o(q) = -25*q**2 + 15*q + 1. Let n be 10/(-4)*8/(-2). Let s(u) = m*o(u) + n*r(u). Determine a, given that s(a) = 0.
2/5
Let b(a) be the first derivative of -2/5*a**5 - 2*a + 1/3*a**6 - 2 + 4/3*a**3 + a**2 - a**4. Determine v so that b(v) = 0.
-1, 1
Factor z**5 + 3*z**3 - 3*z**3 + 7*z**2 - z**3 - 3*z**4 + 0*z**5 - 4.
(z - 2)**2*(z - 1)*(z + 1)**2
Let f be (-4)/(-8)*(-1 - -7). Factor -2*o**2 + 0 - o + 1 + o**2 - 6*o**f + 7*o**3.
(o - 1)**2*(o + 1)
Let d(a) be the third derivative of a**7/140 + a**6/90 - a**5/60 - a**3/2 - 3*a**2. Let j(v) be the first derivative of d(v). Factor j(g).
2*g*(g + 1)*(3*g - 1)
Let i(m) be the second derivative of 3*m + 0 + 0*m**3 - 1/30*m**5 + 1/45*m**6 + 0*m**4 + 0*m**2. Factor i(s).
2*s**3*(s - 1)/3
Let c(f) be the second derivative of -f**7/147 - 2*f**6/105 - f**5/70 + 12*f. Let c(a) = 0. What is a?
-1, 0
Factor 10*c + 3 + 3*c**2 + 11*c - 3 + 18.
3*(c + 1)*(c + 6)
Let q(s) = s**3 + 4*s**2 + 4*s + 2. Let w be q(-2). Suppose 3*h = -w*h. What is n in -2/7*n + 2/7*n**2 + h = 0?
0, 1
Let o = -209 + 214. Solve 1/3*i - 1/3*i**4 - 1/3 - 2/3*i**3 + 1/3*i**o + 2/3*i**2 = 0 for i.
-1, 1
Let w(m) = m**5 - m**2 - 1. Let v(r) = 3*r**5 + 4*r**4 - 2*r**3 - 8*r**2 + 3*r - 4. Let u(k) = -v(k) + 4*w(k). Factor u(x).
x*(x - 3)*(x - 1)**2*(x + 1)
Let p(b) be the second derivative of 1/27*b**4 - 1/18*b**5 + 0*b**2 + 4*b + 0 - 7/135*b**6 + 0*b**3. Factor p(o).
-2*o**2*(o + 1)*(7*o - 2)/9
Let t(w) = 6*w**2 - 24*w + 29. Let n(m) = -4*m - 3. Let u be n(-2). Let a(c) = -3*c**2 + 12*c - 14. Let l(d) = u*a(d) + 2*t(d). Suppose l(f) = 0. What is f?
2
Let d(m) = 5*m + 3. Let w be d(-1). Let o be 18/(-5) + 6 + w. Determine p so that 8/5*p + 0*p**2 + o*p**4 + 0 - 6/5*p**3 = 0.
-1, 0, 2
Let b(u) be the first derivative of -u**6/10 + 9*u**5/25 - 3*u**4/10 - 17. Factor b(d).
-3*d**3*(d - 2)*(d - 1)/5
Let w(h) be the second derivative of h**5/80 - h**4/48 - h**3/24 + h**2/8 - 9*h. Factor w(s).
(s - 1)**2*(s + 1)/4
Suppose -13*r**2 - 4*r**3 - 67 - 2*r**3 - r**4 + 63 - 12*r = 0. What is r?
-2, -1
Let w = -25 - -25. Let g = 1/5 + w. Solve 0 + 0*y - g*y**2 = 0 for y.
0
Let h(o) = -5*o**5 - 95*o**4 - 65*o**3 + 15*o**2 + 15. Let l(d) = d**5 + 24*d**4 + 16*d**3 - 4*d**2 - 4. Let r(z) = 4*h(z) + 15*l(z). Factor r(x).
-5*x**3*(x + 2)**2
Let i(c) be the first derivative of c**6/30 - c**5/5 - c**2/2 + 2. Let x(v) be the second derivative of i(v). Let x(s) = 0. What is s?
0, 3
Determine j so that 2/3*j**2 + 0*j + 2*j**4 - 2/3*j**5 - 2*j**3 + 0 = 0.
0, 1
Let y(p) = -3*p - 3*p + p + 2*p - p**2. Let f(l) = -2*l**2 - 5*l. Let b = 4 - 9. Let z(u) = b*y(u) + 3*f(u). Factor z(o).
-o**2
Let m = -7 - -19. Suppose -5*v + 3 = -m. Suppose 5*n**4 - 3*n**2 + 5*n + 7*n - 7*n**v - 4*n - 2 - n = 0. What is n?
-1, 2/5, 1
Suppose -5*n + 5 = 2*a + 1, 3*n = -a + 3. What is x in 12*x**2 + 6*x**5 - 2*x - n + x**3 - 6*x**3 - 10*x**4 + x**3 = 0?
-1, -1/3, 1
Let h(l) = -7*l**5 - 19*l**3 + 18*l**2 - 10*l - 6. Let b(o) = 6*o**5 - o**4 + 18*o**3 - 17*o**2 + 9*o + 5. Let d(c) = 6*b(c) + 5*h(c). Let d(q) = 0. What is q?
0, 1, 2
Let y = -2997/10 + 300. Let i(n) be the second derivative of n - y*n**4 - 1/5*n**2 + 0 - 2/5*n**3. Suppose i(s) = 0. What is s?
-1/3
Solve 1/4 + 1/2*o**2 + 3/4*o = 0 for o.
-1, -1/2
Suppose -2*q - q + 57 = 0. Suppose 5 + q = 3*m. Solve -2*g**3 - 2*g - 10*g**4 + g**3 + 10*g**2 + m*g**5 - 6*g**3 + g**3 = 0 for g.
-1, 0, 1/4, 1
Suppose 0 = -3*w - 2 + 5. Let c be ((-18)/(-135))/(w/5). | {
"pile_set_name": "DM Mathematics"
} |
7, 15, 26831.6
Sort -1.5, -3/5, -74, 644, 0.1.
-74, -1.5, -3/5, 0.1, 644
Sort 1/4, 3/41, -0.77, 362.
-0.77, 3/41, 1/4, 362
Put 4578, -0.6, -120 in ascending order.
-120, -0.6, 4578
Put 0, -0.05, 1, 1/2, 79, -1, -2/3 in increasing order.
-1, -2/3, -0.05, 0, 1/2, 1, 79
Sort -4, 319, -5, 2, -1932 in ascending order.
-1932, -5, -4, 2, 319
Put 1, 1025.9, -45.37 in ascending order.
-45.37, 1, 1025.9
Put 5/578, 580, -5 in descending order.
580, 5/578, -5
Sort 2/3, 0.1, 447438, -17/4 in ascending order.
-17/4, 0.1, 2/3, 447438
Put -2, -7, -12, 846, -5, 10, -3 in ascending order.
-12, -7, -5, -3, -2, 10, 846
Put 4, 23, 3, 5, 2/1853 in decreasing order.
23, 5, 4, 3, 2/1853
Put -5, 97, 5, -8, 0.028, -0.1 in increasing order.
-8, -5, -0.1, 0.028, 5, 97
Sort 1, -2, 10, -230, 2, 6.
-230, -2, 1, 2, 6, 10
Put 0, 762, -9, 0.03, 0.01 in ascending order.
-9, 0, 0.01, 0.03, 762
Put -98, 85132, -2 in decreasing order.
85132, -2, -98
Put 6, -1, 0, -3, -850, -16 in descending order.
6, 0, -1, -3, -16, -850
Put -1, 201.5, -1041, -0.1 in descending order.
201.5, -0.1, -1, -1041
Put 6, -5, 10, 4, -129, -8, -3 in ascending order.
-129, -8, -5, -3, 4, 6, 10
Sort 10, 232, 60 in decreasing order.
232, 60, 10
Sort -9621, -94, -3/2, 0.05.
-9621, -94, -3/2, 0.05
Sort -0.1, -12/12205, 96 in decreasing order.
96, -12/12205, -0.1
Put 4, -5, -1, -641, 0, -221, 5 in decreasing order.
5, 4, 0, -1, -5, -221, -641
Put -55, -0.2, 1, -4/115, 0.4 in decreasing order.
1, 0.4, -4/115, -0.2, -55
Sort -0.3, -7, -500275 in decreasing order.
-0.3, -7, -500275
Put 132, -26, -1, 16, -11 in decreasing order.
132, 16, -1, -11, -26
Put 0.4, 37049, -1/7, -4, -1 in descending order.
37049, 0.4, -1/7, -1, -4
Sort 35, 22, -37, -141 in descending order.
35, 22, -37, -141
Sort 5, -5, -1, -2015, -126 in descending order.
5, -1, -5, -126, -2015
Sort 1, 7, 9, 6, 1902, -10 in descending order.
1902, 9, 7, 6, 1, -10
Sort 11, 123, -104, -6 in descending order.
123, 11, -6, -104
Sort 1, 2, 24, -4, 442, 0 in descending order.
442, 24, 2, 1, 0, -4
Put 2, -2, -1, 5408, -13 in decreasing order.
5408, 2, -1, -2, -13
Sort -2/7, 0.16, -23, 305, 8 in decreasing order.
305, 8, 0.16, -2/7, -23
Put 2317, -5, -254 in descending order.
2317, -5, -254
Sort 134, 0, 4, 2, 686, 21, 1 in descending order.
686, 134, 21, 4, 2, 1, 0
Sort 10120, -3, -222.
-222, -3, 10120
Put 5, -5, -20361, -1, -3, -11 in ascending order.
-20361, -11, -5, -3, -1, 5
Sort -151, 12, 4, -91, 0.
-151, -91, 0, 4, 12
Put 2/61, 0.4, 391, 393 in descending order.
393, 391, 0.4, 2/61
Put 4, 10, 0, 4194, 5, -5, -4 in descending order.
4194, 10, 5, 4, 0, -4, -5
Sort -22, -4, -459, 1, -48 in decreasing order.
1, -4, -22, -48, -459
Put 3, 2349, -1298, -2, -4 in decreasing order.
2349, 3, -2, -4, -1298
Put -176, -23, -17, 65, 1 in increasing order.
-176, -23, -17, 1, 65
Put -95, -5, -89, 46 in ascending order.
-95, -89, -5, 46
Sort 3, -4, 55, 0, -3063 in ascending order.
-3063, -4, 0, 3, 55
Put -0.2, -6016.1, 5.1 in decreasing order.
5.1, -0.2, -6016.1
Put 2, 6, 25, -6, 0, -35 in increasing order.
-35, -6, 0, 2, 6, 25
Sort 0.3, 11, 25632, -0.5, 2/7 in decreasing order.
25632, 11, 0.3, 2/7, -0.5
Sort -432, 906, 1, 5, 4, -3, 2.
-432, -3, 1, 2, 4, 5, 906
Put -6, 2/17, -13, -2388 in descending order.
2/17, -6, -13, -2388
Sort 1271, -21/31, -11/6 in decreasing order.
1271, -21/31, -11/6
Sort 5, -2, 3, -5, 14050 in descending order.
14050, 5, 3, -2, -5
Sort 451, 8, -5, -17, 3, 6, 1 in ascending order.
-17, -5, 1, 3, 6, 8, 451
Sort 3, 5, -1, 91, -4, -742 in decreasing order.
91, 5, 3, -1, -4, -742
Put 5, -5, 35/6, -11, 1, -2/7, 0.4 in increasing order.
-11, -5, -2/7, 0.4, 1, 5, 35/6
Put -1, -4, -142, 2/153, 2, -0.4 in descending order.
2, 2/153, -0.4, -1, -4, -142
Put 0.2, -5/4, -29/33, -47.08, 4 in descending order.
4, 0.2, -29/33, -5/4, -47.08
Put 5, 0, -1, 3062388, -5, 2 in descending order.
3062388, 5, 2, 0, -1, -5
Sort 3, -19, 43, 5, 9, -12, -24 in decreasing order.
43, 9, 5, 3, -12, -19, -24
Put -1, 10, -837, 19, 3, 0 in descending order.
19, 10, 3, 0, -1, -837
Put 6, -1233, -342, 1 in increasing order.
-1233, -342, 1, 6
Put 3, 2/137, -6139, 2, 5 in ascending order.
-6139, 2/137, 2, 3, 5
Sort -2, -19, 22, 90, -2.5 in increasing order.
-19, -2.5, -2, 22, 90
Sort 2, 1482, 11, -1, -2 in descending order.
1482, 11, 2, -1, -2
Put 5, -1/4, -46156, 18, 0.2 in increasing order.
-46156, -1/4, 0.2, 5, 18
Sort 27, 70, 3, -4, -57, 1, -5 in ascending order.
-57, -5, -4, 1, 3, 27, 70
Sort -11, -5, -4, -6, 57 in decreasing order.
57, -4, -5, -6, -11
Sort 1, -10, -169, 8, 19 in ascending order.
-169, -10, 1, 8, 19
Sort -3, 574, 399 in decreasing order.
574, 399, -3
Put -10, 11, 103, -1, -7, 6, 5 in descending order.
103, 11, 6, 5, -1, -7, -10
Sort 64, -36, 6, 5 in decreasing order.
64, 6, 5, -36
Put -1, 0.2, -0.052, 0, -2.1 in decreasing order.
0.2, 0, -0.052, -1, -2.1
Put 3, 1, 118, -454, -1, 2 in increasing order.
-454, -1, 1, 2, 3, 118
Put -5, -14, 23, 1, 183, -2 in decreasing order.
183, 23, 1, -2, -5, -14
Sort -2119, 178805, 5 in descending order.
178805, 5, -2119
Sort 4639, 2/7, 3, -19.98 in decreasing order.
4639, 3, 2/7, -19.98
Sort -5, -293347, 59, -1 in decreasing order.
59, -1, -5, -293347
Put -4, -2, 0.884, 3, 249 in increasing order.
-4, -2, 0.884, 3, 249
Put 14, -57, 10398, 3 in ascending order.
-57, 3, 14, 10398
Sort 11, -9, 10, -15, -26, 0.
-26, -15, -9, 0, 10, 11
Put 0.2, -7/5, 719, 4, 112/11 in ascending order.
-7/5, 0.2, 4, 112/11, 719
Put 4, 1, 2, -2, -3, -1, -1336 in ascending order.
-1336, -3, -2, -1, 1, 2, 4
Put -573, 28, 185 in descending order.
185, 28, -573
Put -8, 2/2787, -1, 5, -5 in increasing order.
-8, -5, -1, 2/2787, 5
Sort 5, -28365, 1, 0, -52, -5, -3.
-28365, -52, -5, -3, 0, 1, 5
Sort -6, 5304, 3, -229, 2, 0.
-229, -6, 0, 2, 3, 5304
Sort 0.4, -4, -108, 3/86, -52.8 in decreasing order.
0.4, 3/86, -4, -52.8, -108
Sort 3, 2, 345890.
2, 3, 345890
Sort 1, 112, 2/545, -0.07 in ascending order.
-0.07, 2/545, 1, 112
Put -1/37, 0, 25/4, 0.2, 3/8, -5 in ascending order.
-5, -1/37, 0, 0.2, 3/8, 25/4
Sort 29, -4, -81, -48, 0.
-81, -48, -4, 0, 29
Sort 0, -89, 25, 500, -5 in descending order.
500, 25, 0, -5, -89
Put -12, 2, -5, 41, 4, 73, 17 in decreasing order.
73, 41, 17, 4, 2, -5, -12
Put -0.4, 101/5, 5, -12, -3796 in increasing order.
-3796, -12, -0.4, 5, 101/5
Sort -85, -261, 5, -1, 0.1 in decreasing order.
5, 0.1, -1, -85, -261
Sort -2, 4, 6604077 in descending order.
6604077, 4, -2
Sort 132, -5, -4, -58, 1074 in descending order.
1074, 132, -4, -5, -58
Sort 26, 5, -5, 6073, 3, -96 in descending order.
6073, 26, 5, 3, -5, -96
Put 4, -5, -27, -1793, -30, 1 in decreasing order.
4, 1, -5, -27, -30, -1793
Sort -3, 14488, -2, 1, 4, 5, 0.
-3, -2, 0, 1, 4, 5, 14488
Sort 2, 1, -3, -10, 485, -1, -2 in increasing order.
-10, -3, -2, -1, 1, 2, 485
Sort -18429, 5, -122 in decreasing order.
5, -122, -18429
Put 21152, 5, -3, -6, -16 in increasing order.
-16, -6, -3, 5, 21152
Sort 3, 4805, -3, 5, -10, -5, -7 in decreasing order.
4805, 5, 3, -3, -5, -7, -10
Put 0.3, -2.5, 1470.75, -1/3 in increasing order.
-2.5, -1/3, 0.3, 1470.75
Sort 140, -4, 3/2, -3, -39, 5.
-39, -4, -3, 3/2, 5, 140
Sort 26, 157, -11, -2.
-11, -2, 26, 157
Sort 5, 283, -3396/25, 2/9, -2/5 in decreasing order.
283, 5, 2/9, -2/5, -3396/25
Put -0.3, -2/3026181, -6 in descending order.
-2/3026181, -0.3, -6
Put -2, 0.5, -0.1, 2/13943, -7, 0 in ascending order.
-7, -2, -0.1, 0, 2/13943, 0.5
Sort -1, 212, -3, -17, -6, -5, 1.
-17, -6, -5, -3, -1, 1, 212
Sort -105, -74, -731 in descending order.
-74, -105, -731
Sort 233, -0.04, -31, 0.01 in decreasing order.
233, 0.01, -0.04, -31
Sort 6, 3, -160311.
-160311, 3, 6
Put -4, -3, -6, 4, 739, 0.5 in increasing order.
-6, -4, -3, 0.5, 4, 739
Sort -3, -1172, -4, 12, 4, -15 in descending order.
12, 4, -3, -4, -15, -1172
Put 15, 0.5, -9, 263, -1, 2/5 in ascending order.
-9, -1, 2/5, 0.5, 15, 263
Sort -106, -4, -15, -2, 11, 0 in ascending order.
-106, -15, -4, -2, 0, 11
Put 21, 289, 12, 8 in ascending order.
8, 12, 21, 289
Put -44, 3, -1, 42, 11, 16 in ascending order.
-44, -1, 3, 11, 16, 42
Put -471, 1315, 18 in decreasing order.
1315, 18, -471
Sort 67, -61464, 31 in descending order.
67, 31, -61464
Sort -2375, -4, 0.3, -295, -1.8 in descending order.
0.3, -1.8, -4, | {
"pile_set_name": "DM Mathematics"
} |
Suppose -w - 4*w = -125. Let r be 34/(-40) - (-15)/w. Let x = 0.06954 + 0.03046. What is the nearest to x in 0.3, r, -3?
0.3
Let z = 4 + -4.05. Let l = z - -0.09. Let m = -889 + 888.9. Which is the closest to m? (a) -0.4 (b) l (c) 4
b
Let r = 528 - 403. Let d = 121 - r. Let s = 0 + -1. Which is the nearest to -0.1? (a) d (b) s (c) -3/8
c
Let u be (-8)/(-1)*(6 - (-55)/(-10)). Suppose -u*k - 45 = 11*k. What is the closest to k in 2/3, -3, -2?
-3
Suppose -10 = -f + 6*f. Let d be (13 - (11 + 9)) + 8. Which is the closest to 0? (a) 1.5 (b) f (c) d
c
Let u be ((-7)/2)/((-5187)/228). Which is the closest to 0? (a) -1 (b) u (c) 8
b
Let a = 2010.6 + -2014.6. What is the closest to -1.7 in a, -0.5, -6/7?
-6/7
Let t = -0.3795 - 15.7905. Let f = t - -16. Let j = f + 0.47. What is the closest to 1 in j, 4, 0?
j
Let g = -12.65 + 15.65. Which is the closest to 2/7? (a) -12 (b) 0.2 (c) g
b
Let u = 437 - 692. Let a = u - -256. What is the nearest to -1 in a, -8, 0.1?
0.1
Let z = -0.24798 - -0.64798. What is the nearest to -4 in -2/23, 0.6, 5, z?
-2/23
Let q(z) = -5*z**3 + 37*z**2 - 2*z - 79. Let i be q(7). Which is the closest to -3/4? (a) -1.7 (b) i (c) -3
a
Let b = -1.9413 + -0.0587. What is the closest to -2 in -0.1, 2.4, b, 4?
b
Let r = 418 - 417.816. Let j = 1.816 + r. Which is the closest to 0? (a) -4/7 (b) 0 (c) j (d) -0.3
b
Let d(c) = -224*c - 6506. Let p be d(-29). What is the closest to 0.2 in -4, p, -3?
-3
Let v(w) = w**2 + 4*w. Let r(y) = y. Let h(t) = 4*r(t) - v(t). Let s be h(-1). Let i = -418.5 + 418. Which is the closest to s? (a) -0.3 (b) i (c) 2
b
Let b = 0 + 4. Let a = -4/39 + 55/156. What is the nearest to -2 in -45/7, a, b?
a
Let l be -1 + 194/(-396)*-2. Let m = -765727/5 + 153146. What is the closest to 1 in 3/7, l, m?
m
Suppose -5*o + 5 = -19*j + 14*j, -4*o + 22 = 2*j. Let i = -38 - -37.7. What is the closest to 0.1 in i, -4/15, j?
-4/15
Suppose -5*b = 23 + 17. Let o be ((-27)/(-6) - 4)*b/(-12). What is the nearest to 0.3 in -3, -7, o?
o
Let t = 1063/4824 + 1/536. What is the closest to -2/3 in 1.2, t, 3?
t
Let z = -16881/2 - -8440. Which is the closest to -8? (a) -4 (b) z (c) 1/16 (d) 1/5
a
Let j be -606*(-19)/(-1026) - (0 - 11). Which is the closest to 0.25? (a) 66 (b) j (c) 1/3 (d) 0.4
c
Let o = 2.2 + 0.8. Let v = -145.24 + 145.04. Which is the nearest to 1/5? (a) -1 (b) o (c) v
c
Let c = 8 + -6.8. Let u = c - -3.8. Let v = -21670 + 21677. What is the closest to -0.1 in v, -2, u?
-2
Let k be (-2478)/(-1062) + 1/(-1)*2. Which is the closest to k? (a) -0.4 (b) -3 (c) 1/4 (d) -5
c
Let a = 15 + -14.7. Let c = -11023 - -11022.7. Let o be 6/(-4)*3/(-9). What is the nearest to o in a, c, -2/9?
a
Let q(s) = -3*s**2 + 154*s - 611. Let h be q(47). Let f(l) = -l**3 + 11*l**2 + 3. Let n be f(11). Which is the closest to n? (a) -0.8 (b) -4 (c) h
c
Let g be 88/(-6) + 2240/140. Which is the nearest to 0.1? (a) g (b) -1 (c) -2/5 (d) 751
c
Let d be (-427)/4392 + ((-39)/12 - -3). Let i be (-49)/72 - (-2)/3. Let s = d - i. Which is the closest to s? (a) -3/5 (b) 2 (c) -0.1
c
Let d = -644 + 643.513. Let t = d + -2.513. What is the nearest to -1 in -0.9, t, -5?
-0.9
Let k = -420028 + 2100139/5. Let w = -1 + 1. What is the nearest to -1/5 in -0.3, 1, w, k?
k
Let q = 226.29 + -221. Let j = q - 4.8. Let k = j + -0.09. What is the closest to -0.1 in -0.2, k, -4?
-0.2
Let q be (-9)/(-63) + 0 + -5 + (-81)/(-21). What is the nearest to q in -0.5, 0, 2/9, -0.02?
-0.5
Let c = 68/91 - 794/819. What is the closest to 4 in 1/2, 5, c?
5
Let g = 4692 - 2812. Let a = g - 24454/13. Let n = a - -100/117. What is the nearest to -0.1 in -1, n, -3/2?
n
Let q be 36/27 - (-26)/39*6/(-4). Let p = -4.962 - 0.038. Which is the nearest to -4? (a) p (b) q (c) 5
a
Let o = 852/1211 - 97/173. Which is the nearest to -2? (a) 4/3 (b) -17 (c) o
c
Let y = -94 + 93.7. Let p(s) = -s**3 - 3*s**2 + 3*s - 5. Suppose -k + 1 = 5. Let w be p(k). Which is the closest to 0? (a) 3 (b) w (c) y
c
Let n = 0.0038 + -0.3248. Let l = n - -0.221. Which is the closest to 1/4? (a) 1/3 (b) l (c) 0.1 (d) 1/12
a
Let b = 6851 + -6851. What is the closest to 2/19 in -0.2, -0.33, b, 1/3?
b
Let y be (-6)/7*1*30/5. Let z = -65/14 - y. What is the closest to -1 in 1/10, z, 2/7?
1/10
Let k = -28108 + 28010. What is the nearest to 0.1 in -4/23, -1/6, k?
-1/6
Let p = 36 + -68. Let q = 147384 - 147383. What is the closest to -0.1 in q, 5, p?
q
Suppose 3*d = -l - 6, 0 = -2*d - 965*l + 964*l - 4. What is the nearest to -0.1 in d, 2/7, -67/5, -5?
2/7
Let p = 341/6 - 1837/30. Let u = p + 39/10. Let n = 0 + 0.3. Which is the nearest to u? (a) n (b) 5 (c) -0.5
c
Let d = -0.00541 + 0.20541. What is the nearest to 0 in d, -108, -2/7, 1/2?
d
Let g = -0.39 - -0.28. Let x = 0.0994 + 0.1006. Which is the closest to x? (a) g (b) 5 (c) 3/7
c
Suppose 0 = 3*l - 3*i - 21, i - 24 = -2*l + 2. Suppose -30 = -17*n + l*n. What is the nearest to 11 in -0.5, n, -2/5?
n
Let r = 0.28 - 0.08. Let m = -0.262 + -3.738. Let t = 0.6 - -3.4. Which is the nearest to -0.5? (a) t (b) r (c) m
b
Let f = 72 - 78.7. Let c = -7.7 - f. Let k = 43/147 - -2/49. What is the nearest to 1 in 4, k, c?
k
Let v = 5007 + -5007.0101. What is the closest to 1 in v, -1, 2/11?
2/11
Let r = -37 - -65. Suppose -5*s - 23 = -r. Which is the nearest to 9/2? (a) s (b) -5 (c) -4
a
Let z = 756.052 - 756. Which is the closest to -0.3? (a) -5 (b) -2/7 (c) z
b
Let x = 134.56 + 3.44. Let l = x + -132.1. Let k = l + -6.9. What is the nearest to k in 1, -12, -2?
-2
Let l be (0 + 1)/(2/(-4)). Let s = l - -5/3. Let g = -116045.06 - -116045. Which is the nearest to 0? (a) g (b) s (c) 4
a
Let a = 19 + -19.3. Let j be (546/(-1911))/(12/7). What is the nearest to 3 in 4, a, j, 3/4?
4
Let k be 2 - (5/1 - (-1645)/(-517)). What is the nearest to 174 in k, -1/3, -0.1?
k
Let p = 1515 + -1514.9. Suppose -2*b - 8 = 0, -r = r + 2*b + 40. What is the nearest to p in -1, 0, r?
0
Let s = -936 - -936. Let o = 0.2 + -0.1. Let p = 3.15 + -8.15. Which is the nearest to s? (a) o (b) p (c) -4
a
Let k = -27 - -26. Let s be 5/(-21)*(-258)/215. Let z = 0.35 - 0.05. Which is the closest to k? (a) -1/6 (b) z (c) s
a
Let m = -163.4 - -165.4. Which is the nearest to 20? (a) -4 (b) m (c) 4/5
b
Let k be 19/(665/28)*(-15)/126*3. Let s = -9 + 79/9. What is the closest to -1/10 in -5, -1/9, k, s?
-1/9
Let s = 0.57 - 0.57. Let b = -94 + 93.5. Let a = -15 + 15.1. What is the nearest to a in s, -4, b?
s
Let h = 173 + -188. Let s = h - -11. What is the closest to 1 in 0.2, 1/4, s?
1/4
Let r be ((-3)/(-30))/((-2)/5). Let w = 141 + -143. Let f be (1035/20)/9 - 6. Which is the closest to f? (a) 1 (b) w (c) r
c
Suppose 0 = 5*m - 2*q + 1, -72*m + 2*q - 10 = -76*m. What is the closest to m in -1, 597, -3?
-1
Let o be (-6)/8*(-438)/657. What is the nearest to 2.6 in o, 6, 3, -1?
3
Let l = -0.39156 + 0.39156. Let u = -0.2 - -0.3. Let y = 0 + u. What is the nearest to y in -1/4, -3, l?
l
Let q = 4.1 + -4. Let m(k) = -k**2 - 15*k - 68. Let p be m(-7). Which is the closest to -0.2? (a) 0 (b) p (c) -0.3 (d) q
c
Let t = -13355 + 13378. Let q(f) = f**2 + 11*f + 13. Let y be q(-9). What is the nearest to 2 in 1, y, t?
1
Let q = -66.968 - -67. Let u = 0.132 - q. What is the closest to 0 in u, -5, -0.09?
-0.09
Let n = -1973.9 + 1968.9. Which is the nearest to 15.6? (a) -1 (b) n (c) -3/4
c
Let h = 10268 - 10270. What is the nearest to h in 1/4, -5, 0, 11?
0
Suppose -57*k - 1911 + 486 = 0. Which is the closest to 2/3? (a) -4 (b) k (c) -1/8
c
Let p = -207.5 + 202.5. Let r = -0.59 - -1.59. What is the closest to r in -3, p, -3/10?
-3/10
Let c be -12 - (3 - -1)*(-14 - (-1034)/88). Let j = -0.1 + 0.3. Let x = 0.03 + 2.97. What is the nearest to x in c, -2/11, j?
j
Let j = 11521 - 11526. Which is the nearest to -1? (a) 0.2 (b) 0.685 (c) j
a
Let i = 2610.96 - 2611. Which is the nearest to 1/3? (a) -0.2 (b) -12 (c) 2/11 (d) i
c
Let s = 248 + -247.9. Let y be 16/((-480)/(-50))*(-2)/30. What is the closest to s in 0, 5, y?
0
Let n = 1.69 + -1.8. Let f = -0.11 - n. Let z = 2.97 - 0.97. What is the nearest to f in -2/5, 4, z?
-2/5
Let w = 29578 - 29598. Which is the nearest to 1/6? (a) -4 (b) w (c) 0.1 (d) -2
c
Let f = -1.36 + 1.43. Let | {
"pile_set_name": "DM Mathematics"
} |
divisor of 444 and 732.
12
What is the greatest common factor of 3 and 6?
3
What is the highest common factor of 36 and 324?
36
Calculate the highest common divisor of 9 and 14.
1
Calculate the highest common divisor of 6540 and 60.
60
Calculate the highest common factor of 105 and 483.
21
What is the greatest common factor of 1102 and 58?
58
Calculate the greatest common factor of 25 and 1.
1
Calculate the greatest common divisor of 11 and 836.
11
Calculate the highest common divisor of 6 and 417.
3
What is the greatest common factor of 76 and 36727?
19
Calculate the greatest common divisor of 50 and 4050.
50
Calculate the highest common divisor of 3 and 17.
1
What is the highest common factor of 23 and 437?
23
Calculate the highest common divisor of 104 and 845.
13
Calculate the greatest common factor of 240 and 48.
48
Calculate the highest common divisor of 126 and 5985.
63
What is the greatest common divisor of 690 and 1650?
30
What is the highest common divisor of 901 and 68?
17
What is the highest common divisor of 174 and 6?
6
Calculate the greatest common divisor of 44 and 396.
44
Calculate the highest common divisor of 765 and 4131.
153
Calculate the highest common divisor of 2294 and 403.
31
What is the greatest common factor of 416 and 5408?
416
What is the highest common divisor of 81 and 837?
27
Calculate the greatest common divisor of 11 and 76.
1
What is the highest common factor of 13410 and 270?
90
What is the greatest common divisor of 1149 and 24?
3
What is the highest common divisor of 75 and 6?
3
What is the greatest common factor of 80 and 4320?
80
Calculate the highest common factor of 792 and 24.
24
Calculate the greatest common divisor of 115 and 161.
23
What is the highest common factor of 459 and 272?
17
Calculate the greatest common divisor of 15422 and 110.
22
What is the greatest common factor of 42 and 1722?
42
Calculate the greatest common factor of 1854 and 45.
9
What is the highest common divisor of 17 and 15657?
17
What is the greatest common factor of 279 and 285?
3
What is the greatest common factor of 49 and 21?
7
Calculate the highest common factor of 40 and 160.
40
What is the greatest common divisor of 759 and 69?
69
What is the greatest common divisor of 7 and 8?
1
What is the highest common divisor of 202 and 21311?
101
Calculate the highest common factor of 162 and 108.
54
Calculate the highest common divisor of 16 and 44.
4
Calculate the highest common factor of 36 and 3504.
12
Calculate the greatest common factor of 604 and 18.
2
Calculate the greatest common divisor of 33 and 3729.
33
What is the highest common factor of 34 and 289?
17
What is the highest common factor of 219 and 39?
3
Calculate the greatest common factor of 532 and 114.
38
What is the highest common divisor of 966 and 42?
42
What is the highest common factor of 294 and 686?
98
What is the highest common divisor of 322 and 14?
14
Calculate the greatest common divisor of 25 and 6.
1
What is the greatest common factor of 9 and 111?
3
What is the highest common divisor of 47 and 141?
47
Calculate the highest common factor of 7 and 2170.
7
Calculate the greatest common divisor of 231 and 1089.
33
Calculate the highest common factor of 10 and 147.
1
Calculate the highest common divisor of 336 and 378.
42
What is the greatest common divisor of 38 and 4503?
19
Calculate the greatest common factor of 72 and 2424.
24
Calculate the highest common divisor of 188 and 8.
4
What is the greatest common factor of 23 and 736?
23
What is the greatest common divisor of 1 and 281?
1
What is the greatest common divisor of 26 and 494?
26
Calculate the greatest common divisor of 8203 and 13.
13
Calculate the greatest common divisor of 296 and 56.
8
What is the greatest common factor of 37 and 851?
37
Calculate the greatest common factor of 663 and 5661.
51
Calculate the highest common divisor of 32857 and 103.
103
Calculate the highest common factor of 156 and 60.
12
Calculate the greatest common divisor of 136 and 85.
17
What is the greatest common divisor of 817 and 5074?
43
What is the greatest common divisor of 42 and 189?
21
Calculate the highest common divisor of 434 and 186.
62
What is the greatest common divisor of 56 and 630?
14
Calculate the highest common factor of 8 and 23.
1
What is the highest common factor of 126 and 693?
63
What is the highest common factor of 74 and 592?
74
What is the highest common divisor of 589 and 682?
31
What is the greatest common factor of 2279 and 265?
53
What is the highest common factor of 253 and 33?
11
Calculate the highest common divisor of 115 and 43470.
115
Calculate the highest common divisor of 1335 and 10.
5
What is the highest common divisor of 682 and 62?
62
Calculate the highest common divisor of 114 and 285.
57
Calculate the greatest common divisor of 59 and 2773.
59
What is the greatest common divisor of 1394 and 328?
82
What is the highest common factor of 440 and 460?
20
What is the highest common divisor of 115 and 69?
23
Calculate the greatest common divisor of 3225 and 300.
75
Calculate the highest common divisor of 44 and 332.
4
What is the highest common divisor of 1635 and 15?
15
What is the highest common factor of 374 and 442?
34
Calculate the greatest common factor of 14 and 56.
14
What is the highest common factor of 42 and 63?
21
What is the greatest common divisor of 675 and 162?
27
What is the highest common divisor of 55 and 3971?
11
Calculate the greatest common factor of 6088 and 8.
8
What is the greatest common factor of 2 and 423?
1
Calculate the greatest common divisor of 165 and 120.
15
Calculate the highest common factor of 39 and 58227.
39
What is the highest common divisor of 242 and 33?
11
What is the greatest common divisor of 1770 and 480?
30
Calculate the greatest common divisor of 117 and 2301.
39
Calculate the highest common divisor of 141 and 2491.
47
What is the greatest common divisor of 87 and 20271?
87
What is the greatest common divisor of 32 and 400?
16
What is the highest common factor of 105 and 2670?
15
Calculate the greatest common factor of 34 and 901.
17
Calculate the highest common divisor of 41 and 3239.
41
What is the highest common divisor of 3875 and 744?
31
Calculate the highest common factor of 232 and 174.
58
What is the highest common divisor of 187 and 85?
17
What is the greatest common factor of 21 and 3?
3
Calculate the greatest common divisor of 1113 and 336.
21
Calculate the highest common divisor of 116 and 261.
29
Calculate the highest common factor of 8479 and 183.
61
Calculate the greatest common divisor of 270 and 72.
18
What is the greatest common factor of 45 and 225?
45
What is the highest common divisor of 736 and 46?
46
What is the greatest common factor of 18577 and 13?
13
Calculate the greatest common divisor of 4 and 9.
1
Calculate the greatest common divisor of 13140 and 36.
36
Calculate the highest common divisor of 2034 and 207.
9
Calculate the highest common factor of 2666 and 62.
62
What is the highest common divisor of 90 and 1395?
45
Calculate the highest common factor of 1984 and 192.
64
What is the greatest common factor of 410 and 5535?
205
Calculate the greatest common divisor of 7 and 11837.
7
Calculate the highest common factor of 9 and 2763.
9
Calculate the greatest common factor of 561 and 4743.
51
What is the greatest common factor of 26 and 897?
13
Calculate the highest common divisor of 11 and 6402.
11
What is the highest common factor of 190 and 50?
10
Calculate the greatest common factor of 434 and 35.
7
What is the highest common factor of 193 and 2895?
193
What is the greatest common factor of 442 and 5122?
26
What is the greatest common divisor of 63 and 6?
3
Calculate the highest common divisor of 135 and 80.
5
Calculate the greatest common factor of 6 and 162.
6
Calculate the greatest common divisor of 483 and 1771.
161
What is the greatest common divisor of 36 and 828?
36
What is the greatest common factor of 4416 and 207?
69
What is the highest common factor of 1484 and 28?
28
What is the highest common divisor of 92 and 45586?
46
Calculate the greatest common divisor of 297 and 36.
9
What is the greatest common divisor of 45 and 68205?
15
What is the highest common divisor of 30 and 40?
10
Calc | {
"pile_set_name": "DM Mathematics"
} |
lculate the greatest common divisor of r and 20.
20
Let y be (-2)/(-10) + 996/(-30). Let w be y/(3 - (-8)/(-2)). Calculate the greatest common factor of 11 and w.
11
Let g be (-13 + (1 - -2))/((-2)/32). What is the greatest common factor of g and 20?
20
Let k(o) = 6*o + 0*o - 5 + o**3 - o + 7*o**2. Let g be k(-5). Let l be (-24)/10*g/(-3). What is the greatest common factor of l and 32?
16
Let o = -1 - -6. Suppose o = -4*v - 15, -3*b - 3*v + 336 = 0. Calculate the greatest common divisor of 13 and b.
13
Let n be 1 - (-1 - (-1 + 0)). Let v(g) = g**3 - 7*g**2 + 6*g + 3. Let u be v(6). Let f = 4 + u. What is the highest common divisor of n and f?
1
Suppose 8*m - 3*m - 85 = 0. Let o be (-10)/(-3 + 147/51). What is the greatest common factor of o and m?
17
Let t = 86 + 57. Suppose 22 + 4 = 2*b. Calculate the greatest common factor of b and t.
13
Suppose 0 = -w - 4*y + 60, 4*w - 257 - 3 = 4*y. What is the greatest common divisor of 8 and w?
8
Let b = 24 - 6. What is the highest common divisor of b and 6?
6
Let z = -1 - -2. Let h(g) = 3*g - 1 - 2*g + 20*g**2 + 0*g. Let i be h(z). What is the greatest common divisor of 80 and i?
20
Let b be 16/3 + 3/(-9). Calculate the greatest common divisor of 5 and b.
5
Let a(f) = -f - 1. Let v be a(-5). Let n be ((-9)/3)/((-3)/16). What is the highest common divisor of n and v?
4
Let v(m) = m**2 + m. Let t(w) = 7*w**3 - 3*w**2 - 5*w - 1. Let s(n) = -t(n) - 4*v(n). Let k be s(-1). What is the highest common factor of 36 and k?
6
Let z = 20 - 33. Suppose -3*v - 2 = -5, -3*l - 5*v + 14 = 0. Let s = l - z. What is the greatest common divisor of 48 and s?
16
Let b = -4 - -8. Let q(c) = -c**3 - 5*c**2 - 4*c + 3. Let s be q(-4). Suppose s*h - 8*h + 10 = 0. Calculate the greatest common factor of h and b.
2
Suppose 3*x + 4*r - 52 = 0, -2*x - 3*r + 72 = 3*x. Let s = 24 - x. Calculate the greatest common factor of s and 12.
12
Let s be (-146)/(-2) + (-8)/8. Suppose s = u + 18. Calculate the greatest common factor of u and 9.
9
Let d(r) = -r**2 + 5*r - 3. Let o be d(3). Calculate the greatest common divisor of o and 2.
1
Let c(h) = -h**3 + 6*h**2 - 8*h + 3. Let m be c(4). Suppose -4*v + 20 = -m*v. Calculate the highest common divisor of v and 120.
20
Suppose 0 = 3*w - 36 - 54. What is the highest common divisor of w and 12?
6
Suppose 0*h + 4*q = -2*h + 34, -4*q + 8 = 0. What is the highest common factor of h and 143?
13
Let f = -13 - -202. Calculate the highest common divisor of 21 and f.
21
Let n(v) = -v**3 + 6*v**2 - 4*v + 7. Let j be n(5). Let d be (12/15)/(4/10). Let s = 10 + d. What is the highest common divisor of j and s?
12
Let a(z) = z**3 + 5*z**2 - 5*z - 3. Let n be a(-5). Let x = 31 - n. What is the greatest common factor of 72 and x?
9
Suppose 2*w + 45 = 3*r, -2*r + 14 = -r - w. Let t = r + -7. Calculate the highest common divisor of t and 70.
10
Suppose -5*i = 2*l + 1, -4*i = -9*i - 5. Let v = 11 + 3. Calculate the greatest common factor of l and v.
2
Let y = -12 - -16. Suppose 4*z = -a + 544, 0 = -y*z - z - 4*a + 680. Calculate the highest common factor of z and 17.
17
Let v = 112 + -110. Let r be 2/((3/8)/3). Calculate the greatest common factor of r and v.
2
Let o = 128 - 91. Calculate the highest common divisor of 111 and o.
37
Let g(u) = u**3 - 5*u**2 - 2*u**2 + 0*u**3 + 6*u - 2. Let o be g(6). Let f be o/6 - 926/(-6). What is the greatest common divisor of f and 14?
14
Suppose 32 = y - 4*f, 3*f - 33 = -4*y - 0*y. Calculate the greatest common factor of y and 156.
12
Suppose -4*s + 39 = 5*t - 119, s + 173 = 5*t. Let k be (-1248)/(-10) - 2/(-10). Suppose -k + 380 = 5*n. What is the greatest common divisor of n and t?
17
Let a be 535*3/15 + 1 + 2. What is the greatest common divisor of a and 10?
10
Let t(a) = -a**3 - 3*a**2 - 3*a. Let u be t(-2). Suppose 4*h - 8 = -0*h, 78 = u*p + 4*h. Calculate the highest common divisor of 7 and p.
7
Suppose 4*b + 4*o - 36 = 0, 3*b - 2*o = -4*o + 23. Calculate the greatest common divisor of b and 1.
1
Let a = 116 - 86. Calculate the highest common factor of a and 12.
6
Let q be 2/3 + 28/3. Let y(b) = -2*b + 24. Let n be y(-8). What is the greatest common factor of q and n?
10
Let y = -49 - -79. Calculate the highest common factor of 60 and y.
30
Let d = -20 - -29. Let v(b) = -17*b - 3. Let q be v(-6). Calculate the greatest common factor of d and q.
9
Suppose -12*a = -14*a + 54. Suppose 3*q = -5*b - 3, 4*b - 5 = -b + 5*q. Let w be a - (2 - b/(-1)). Calculate the highest common divisor of w and 10.
5
Suppose 0 = -3*x - u + 6, -4*u = -x + 4*x - 15. Let w be (x - 0) + 1 + 2. Calculate the highest common factor of w and 1.
1
Let n(i) = i + 6. Let f be n(-6). Suppose -2*c - 5*v = -104, -c - v - 19 + 65 = f. Calculate the greatest common divisor of c and 14.
14
Let r(j) = j**3 - 28*j**2 + 2*j - 45. Let o be r(28). Let g = 52 + -30. What is the greatest common divisor of o and g?
11
Suppose -4*a = 8*a - 756. Let l = 17 - 10. What is the greatest common divisor of l and a?
7
Suppose 0 = -6*g + 3*g + 138. Suppose 0 = 2*j - 4*j + 5*r + g, 0 = -3*j - 3*r + 111. What is the highest common divisor of j and 3?
3
Let z be -1 + 46*(-4)/(-8). Calculate the highest common factor of z and 22.
22
Let t be (0 - -20)/((-5)/(-10)). Calculate the greatest common factor of 20 and t.
20
Suppose 0 = -3*a + 203 + 196. Suppose -20 = -5*o - 0. Suppose o*b - a = -53. Calculate the highest common factor of b and 50.
10
Suppose 42*u + 44 = 46*u. Suppose 11 = 3*k + 74. Let m be 0/(-2) - k - -1. Calculate the highest common factor of u and m.
11
Suppose 5*o = -2*j + 95, 3*j + 2*o - 133 = 4*o. What is the greatest common factor of j and 18?
9
Let g = 44 - 29. Calculate the highest common factor of 3 and g.
3
Suppose 20 = t + 5*x, -x = 7*t - 2*t - 196. What is the highest common divisor of 10 and t?
10
Let f(s) = -s + 4. Let n be f(3). Let x be (4/(-8))/(n/(-54)). Let j = 3 - 0. What is the highest common divisor of j and x?
3
Let p be 2/(-3) + (-160)/(-6). Let x(u) = 16*u - 5. Let g be x(-5). Let c = g + 150. Calculate the greatest common factor of p and c.
13
Let t(z) be the first derivative of -z**4/2 - 4*z**3/3 - 7*z - 6. Let m be 4/(-1) + (-3 - -2). Let h be t(m). Calculate the highest common factor of 13 and h.
13
Let u(n) = -n**2 + 22*n - 7. Suppose -4*r + 32 = 4*c, -4*r - 7 = -3. Let o be u(c). What is the greatest common factor of 22 and o?
22
Let j(t) = 6*t - 2. Let w be j(3). What is the greatest common divisor of w and 80?
16
Let y = -4 + 6. Suppose 2*d + w - 10 = -d, 0 = -5*w + 5. Suppose 2*v + l - 27 = 0, -d*v + 2*l + 4 = -54. Calculate the highest common divisor of y and v.
2
Let t be (-2)/2*50/(-5). Calculate the greatest common divisor of 5 and t.
5
Suppose -5*b + 226 = 2*r, -5*b - 5*r + 58 = -177. Suppose 0 = -3*g + 12 + 21. What is the highest common divisor of g and b?
11
Suppose 5 = -3*q + 4*q. Let y = 2 - -18. Calculate the highest common factor of q and y.
5
Let l be (-5)/(20/(-12)) + -1. What is the highest common divisor of l and 18?
2
Suppose o + 12 = 3*o. Suppose 5*a - 42 - 3 = 0. What is the greatest common divisor of o and a?
3
Let l(w) = -14*w - 17. Let c be l(-6). Let s = -19 + c. Calculate the highest common factor of s and 12.
12
Let l(h) = -h**2 + 9*h. Let q be l(8). Let t(s) = 7*s**2 + 18*s + 3. Let b be t(-5). What is the highest common factor of b and q?
8
Let j(q) = 2*q**2 + q - 5. Let m be j(3). Calculate the greatest common divisor of 96 and m.
16
Let i(f) = 3*f + 3. Let n be i(9). What is the highest common factor of 5 and n?
5
Let q be (55/(-6))/(-11)*6. Suppose n - 2*n + 58 = 2*r, 3*n = -q*r + 172. Calculate the highest common factor of n and 18.
18
Let u be (-8)/(-28) + (-19)/(-7). Suppose 0*g = u*g - 27. What is the greatest common divisor of 45 and g?
9
Suppose 5*s = -5*d, -4*d - 6 = -4*s + 10. Let j be 10 - 3 - 0 - d. What is the greatest common divisor of j and 6?
3
Let q(j) = j**3 + 6*j**2 + 3*j + 11. Let m be q(-5). Calculate the greatest common factor of m and 231.
21
Let a be (-758)/(-4) - (-3)/(-6). Suppose -359 + 8 = -13*y. What is the highest common divisor of y and a?
27
Suppose -77 = -5*w + 13. Let j = w + 28. Calculate the highest common factor of j and 23.
23
Let y be ((-4)/6)/(2/(-18)). Let t(g) = 4*g**2 - 4*g + 6. Let j be t(y). What is the grea | {
"pile_set_name": "DM Mathematics"
} |
plify 5*(4 + ((sqrt(49)*3*5 + sqrt(49) + sqrt(49))/sqrt(7) - (-1 + sqrt(7) + -1)*-6)**2).
-2760*sqrt(7) + 19255
Simplify 4*(5*(-2 + sqrt(2548))*5)**2*5*2.
-1400000*sqrt(13) + 63800000
Simplify (4*(sqrt(19) + sqrt(19)*-4))**2 + 1 + sqrt(19) + -1 + -1 + -2 + sqrt(1539)*3.
28*sqrt(19) + 2733
Simplify 3 + (4*((1 + 1 + sqrt(567) - sqrt(567)) + sqrt(567) - (-1 + sqrt(567))*-5 - -6*sqrt(567)*2*1)*4)**2.
-248832*sqrt(7) + 47031555
Simplify (2*(sqrt(35) - (sqrt(35) - (sqrt(35) + sqrt(350)/sqrt(10)))) + 3*sqrt(5040))/(-1*sqrt(320) - -6*sqrt(5)*-1).
-20*sqrt(7)/7
Simplify -2 + (((sqrt(495) + -4*sqrt(495)*4 + sqrt(495) - sqrt(495) - sqrt(495) - sqrt(495)) + sqrt(495))/(sqrt(132)/(sqrt(24)/sqrt(2))) + 2)*-3.
-8 + 144*sqrt(5)
Simplify (((sqrt(1134) - sqrt(1134)*2*4) + sqrt(1134))*-6)/(sqrt(56)/sqrt(2) - -3*sqrt(343)).
324*sqrt(2)/23
Simplify 6*(-5*((-3 + -2 + sqrt(432) + sqrt(432) - sqrt(432))**2 + 1) - ((1 + sqrt(432) + sqrt(432))*2 - (-4*(sqrt(432) + 0))**2)).
3312*sqrt(3) + 27720
Simplify (sqrt(110)*1*-3)/((sqrt(10) - 5*(sqrt(20)/sqrt(2) - sqrt(10))) + sqrt(10)) - ((3*(sqrt(396) + 1))**2 + sqrt(396) + sqrt(396) - -3*(0 + sqrt(396))).
-3573 - 279*sqrt(11)/2
Simplify (5 + 3*(3 + (3 + -5*sqrt(832) - (sqrt(832) - -2*(sqrt(832) + -1 - sqrt(832) - sqrt(832)))))*-2)**2.
-16512*sqrt(13) + 481081
Simplify (sqrt(175) - (sqrt(175)*2*5 - sqrt(175)) - (3 + 5*sqrt(63))) + -1 + (0 + sqrt(567) + 0 - (0 + sqrt(567)*1))**2.
-55*sqrt(7) - 4
Simplify ((sqrt(48)/(sqrt(324)*-2)*-3)/(((sqrt(308) + (sqrt(308) + sqrt(308)*1 - sqrt(308)))/sqrt(7) + sqrt(44))/(sqrt(539)*1 + sqrt(539))))**2.
49/27
Simplify (-4 + (4*-3*sqrt(605))**2 - ((sqrt(605) + 3 + sqrt(605))**2 + -4)*-5)*-4.
-396964 - 2640*sqrt(5)
Simplify ((-4*5*(2*sqrt(1872) + sqrt(1872) - sqrt(1872)))**2*6 + 4)*5*-2.
-179712040
Simplify (sqrt(195)/(sqrt(30)/sqrt(6)) + (sqrt(117)*1 + sqrt(117))/sqrt(3))/(sqrt(300)*2*5 - sqrt(300) - (sqrt(300) + sqrt(300)*2*6)).
-3*sqrt(13)/40
Simplify (sqrt(330)/(sqrt(11) + (sqrt(11) - sqrt(22)/sqrt(2))) + sqrt(30)*1*4 + sqrt(30))/((sqrt(24) + sqrt(2400)*-2)/(sqrt(8)/sqrt(2)*-5)).
30*sqrt(5)/19
Simplify 4 + (-4*5*-2*sqrt(104))/(-3*(sqrt(512) - (sqrt(512) - sqrt(512)*3))).
-5*sqrt(13)/9 + 4
Simplify (1 + sqrt(98) + sqrt(98) + -3 - sqrt(20)/(sqrt(10) + (sqrt(10) + sqrt(20)/sqrt(2) + sqrt(10))*-2))**2 + (0 + -1 + sqrt(128) + -5 + -2)**2.
-924*sqrt(2)/5 + 14982/25
Simplify 5*(0 + 3*-2*sqrt(17) + -3) + (sqrt(187) + 5*(sqrt(187)*1 - sqrt(187)))/(sqrt(99)/sqrt(324)).
-24*sqrt(17) - 15
Simplify -4*6*(sqrt(2) + sqrt(2) + sqrt(8)/sqrt(4))*3 + (sqrt(24) + -2*sqrt(24))/sqrt(12)*-2 + 5.
-214*sqrt(2) + 5
Simplify 0 + (2*sqrt(15))/sqrt(3) + 4 - (4 + (sqrt(20) - sqrt(100)/(sqrt(20) - sqrt(5)))).
2*sqrt(5)
Simplify -3 + 0 + ((-5 + (sqrt(833) - 2*sqrt(833)) - (1 + sqrt(833)*-1))*4)**2.
573
Simplify ((((sqrt(1300) + sqrt(1300) + 3)*6 - sqrt(1300)) + 4 + (sqrt(1300)*1 - sqrt(1300)))*4)**2*-4.
-10098176 - 309760*sqrt(13)
Simplify (-1 + sqrt(176)/(sqrt(12)/(sqrt(6)/sqrt(2))) + (sqrt(1100) + 0 - (sqrt(44) + (2*sqrt(484))/sqrt(11) + sqrt(44))))**2.
-8*sqrt(11) + 177
Simplify (3 + (-1*((sqrt(2299) - (1 + sqrt(2299) - sqrt(2299)))*4*-4 - (-1 + sqrt(2299)*1 + sqrt(2299) + 2)) + 4)**2)*-3.
-2235000 + 13068*sqrt(19)
Simplify (-1*sqrt(2673)*-4*1)/(3*(sqrt(300)*-2 - sqrt(300)) + (4*(sqrt(300)*-1 + sqrt(300)) + sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300)) + sqrt(300)).
-9*sqrt(11)/25
Simplify 1*(3 + 1 + (sqrt(931) + 2)**2 + 2 + sqrt(76) + sqrt(19) + -2 + sqrt(19) + 0).
32*sqrt(19) + 939
Simplify 6*(sqrt(8)/sqrt(4) + 5 + sqrt(24)/sqrt(108) + (sqrt(2) + -4*(sqrt(2) + -2)**2 - -5*sqrt(8)) + -2)*2.
-252 + 340*sqrt(2)
Simplify ((-4*sqrt(204)*1)/sqrt(12)*2 + sqrt(68)*3*2 + 4)**2.
32*sqrt(17) + 288
Simplify ((6*sqrt(6)/(sqrt(3) - (sqrt(18)/(2*sqrt(6)) + sqrt(3))) - (sqrt(32) + 0 + sqrt(200) + -1))*6)**2*1.
-1872*sqrt(2) + 48708
Simplify 4*(-4 + -5*((2*sqrt(13))**2 + 0) + sqrt(39)/sqrt(3)*-1 + 3 + sqrt(13)*1).
-1044
Simplify -1*(-3*-1*sqrt(242) - sqrt(242) - -5*(-2 + sqrt(242)))**2 + 0 + -4.
-11962 + 1540*sqrt(2)
Simplify -2 + ((sqrt(175) + -1 + 4 - (1 + sqrt(175) + 2))**2 - (sqrt(7) - (sqrt(112) + -3) - -6*(sqrt(28)/sqrt(4))**2))*6.
-272 + 18*sqrt(7)
Simplify (-1*-1*(sqrt(170) - sqrt(170)*2)*6)/(1*sqrt(640)*4 - (-4*(sqrt(640) - (sqrt(640) + sqrt(640) + sqrt(640)*1 + sqrt(640)) - sqrt(640)) - sqrt(640))).
3*sqrt(17)/44
Simplify (((sqrt(28)*-1 + sqrt(28))*-4)/(-1*(sqrt(20)/sqrt(5) + sqrt(4))))**2 - -2*(sqrt(294)/sqrt(6) + sqrt(49))/sqrt(7)*-5.
-20*sqrt(7)
Simplify (sqrt(270)/(sqrt(72)/sqrt(8)) + (sqrt(270) - (sqrt(270) - sqrt(270)*3)))/((5*(sqrt(110) - 1*sqrt(110)) - sqrt(110))/(sqrt(176)*-3)).
120*sqrt(3)
Simplify -2*((sqrt(2160)*1 + sqrt(2160))/(-6*sqrt(20)/sqrt(4)) + -1*((0 + sqrt(3))*1)**2*-6)*4.
-144 + 32*sqrt(3)
Simplify (-5 + -5*(4 + (sqrt(7) - sqrt(56)/(-3*sqrt(8)) - (0 + sqrt(7) + 5))) + -5)**2.
50*sqrt(7)/3 + 400/9
Simplify (2*(4 + -5 + (6*(sqrt(539)*1 - sqrt(539)) - (sqrt(539)*-2 + -5))))**2.
448*sqrt(11) + 8688
Simplify (-3 + (sqrt(612) - (sqrt(612) + -1) - (sqrt(119)/sqrt(7) + 5)) + -3 + -1*sqrt(2448)*1)**2.
260*sqrt(17) + 2973
Simplify ((-4 + 3 + (sqrt(1700) + 5*sqrt(1700)*-6)*-5 + 0)*-2)**2.
-11600*sqrt(17) + 142970004
Simplify (-2 + (2*1*(1*sqrt(17) + -2 + sqrt(17)) + 3*sqrt(68) + sqrt(425)*3)*-5)**2.
-4500*sqrt(17) + 265949
Simplify (-5*(3 + sqrt(396)*2) + 4*(1 + sqrt(396)) + -5*(sqrt(396) + (sqrt(396) - sqrt(396)*-2)))**2*2.
6864*sqrt(11) + 535634
Simplify -3 + (sqrt(102) - 6*sqrt(102)*1)/sqrt(6) - (-4*sqrt(68)/sqrt(2) - sqrt(34))/(sqrt(16)/sqrt(2)).
-5*sqrt(17)/2 - 3
Simplify -2*(sqrt(68) + -2 + 1 + 2 + (-6*(-3 + sqrt(68) + sqrt(68) + -4))**2).
-23114 + 4028*sqrt(17)
Simplify ((4*(-5 + ((0 + sqrt(325))**2 - sqrt(325))) + -3)*-6 + 1)*2 + -1.
-15323 + 240*sqrt(13)
Simplify (4*(sqrt(288) + sqrt(18)))/(sqrt(864)*-3 + sqrt(864)) - (sqrt(363) - (sqrt(363) + -2)*5 - sqrt(363) - (-3 + sqrt(363))*-6).
-71*sqrt(3)/6 + 8
Simplify ((-2*-2*sqrt(24))/((-1*sqrt(80))/sqrt(10)) + (sqrt(21) - sqrt(84)*-1)/(sqrt(28)/(sqrt(8)/sqrt(2))))*4.
-4*sqrt(3)
Simplify ((-5 + (sqrt(5) + sqrt(20)*2 - sqrt(5)))*6)**2 + -2 - (-2 + sqrt(25)/sqrt(125)*4*3).
-7212*sqrt(5)/5 + 3780
Simplify sqrt(12)/sqrt(4)*2 - (-5 + (-2 + sqrt(3))**2) - (sqrt(300) + -5*(-2 + sqrt(300)) + 4).
-16 + 46*sqrt(3)
Simplify ((sqrt(448)/sqrt(8)*-3 - -1*sqrt(56)*3)/(((-2*sqrt(80))/sqrt(10) - (sqrt(64)/sqrt(4))/sqrt(2))*-4))**2.
0
Simplify (-5 + 6*5*(sqrt(1088) + 1) + -4*(2*1*sqrt(1088) - sqrt(1088)))**2.
10400*sqrt(17) + 736113
Simplify (((sqrt(30) + sqrt(90)/sqrt(3)*5)/sqrt(6) + 5)*-2 + 1*(-1 + sqrt(5) + -3 - (sqrt(5) - sqrt(625)/sqrt(5))))**2.
196*sqrt(5) + 441
Simplify 3 + ((sqrt(20) - (sqrt(100)/sqrt(5) - sqrt(20)))*6)/(sqrt(10) + sqrt(160)*6) + 1 + 0.
6*sqrt(2)/25 + 4
Simplify ((-5 + sqrt(675) + sqrt(27) - sqrt(30)/(sqrt(10)*2)*-2) + 5)**2*2.
2166
Simplify -4*((-2*-6*(sqrt(75) + 1) + -1)**2 + (0 + sqrt(75) + 5 + 2*sqrt(75) + 3 + -3)**2).
-46484 - 5880*sqrt(3)
Simplify ((sqrt(180)*-2*4)/(-1*(sqrt(144) + 1*sqrt(144)))*-1 + 1)**2.
-4*sqrt(5) + 21
Simplify (-6*(-2*sqrt(11) + 3 + 4 + (4*sqrt(132)/sqrt(4))/sqrt(3))*-3)**2.
9072*sqrt(11) + 30132
Simplify 5*-1*(4 + (-3*sqrt(1053)*-2)**2 - ((sqrt(1053) - (sqrt(1053) + -5*(sqrt(1053) + 0) - sqrt(1053))**2) + sqrt(1053)*-2*-1)).
-321185 + 135*sqrt(13)
Simplify 4 + ((sqrt(84) + (sqrt(84)*-2 - sqrt(84)))/(sqrt(1008)*-2 + sqrt(7)) + (sqrt(9)/sqrt(3) + -2 - (1*sqrt(243) + sqrt(243) - sqrt(3))))**2.
1456*sqrt(3)/23 + 401720/529
Simplify ((sqrt(126)/sqrt(81) + sqrt(126)*-5)*-2)/(-3*(sqrt(7) + sqrt(63)/(sqrt(9)*1) - 1*sqrt(63))).
88*sqrt(2)/9
Simplify (5*3*sqrt(99)*-1*5)/((sqrt(729) - -5*sqrt(729)) + sqrt(729) + -1*-2*sqrt(9)).
-15*sqrt(11)/13
Simplify ((5*-1*sqrt(187) - -3*-3*sqrt(187))/(-3*sqrt(275) - 3*sqrt(539)))**2.
833/324
Simplify (-2*sqrt(684)*-2 + (sqrt(684) - (sqrt(684) + 2 + -2))**2)*3 - ((sqrt(684) - (2*sqrt(684)*2)**2) + 1*sqrt(684) + 4)*6.
65640
Simplify (sqrt(13)*5)**2 + -5 + (sqrt(13) - (sqrt(13) - (2*sqrt(91))/sqrt(7))**2) - (sqrt(156) - (sqrt(156)*1 + sqrt(156))*-4)/(sqrt(300) + -2*sqrt(300)).
14*sqrt(13)/5 + 307
Simplify ((sqrt(192)*-4 + sqrt(192))/sqrt(8) - sqrt(72)/(sqrt(18)/sqrt(6)))/(((sqrt(132) - (sqrt(132)*2*1 + sqrt(132))) + sqrt(132))/(sqrt(110)/sqrt(250))).
4*sqrt(2)/5
Simplify (sqrt(80) + -3 + -1)**2 + | {
"pile_set_name": "DM Mathematics"
} |
h = -9. Solve -a*f - 11 = -2*d + f, -w*f - 12 = d for d.
-2
Let y = 25 + -20. Solve 0 = -5*x + 4*t, -x = -3*t - y - 6 for x.
-4
Let t be (-13 + 10)*(-8)/6. Suppose -3*g + 7*g + 4 = 0. Let i = g + t. Solve 4*j = 2*f + j + 5, 9 = i*j for f.
2
Let k be (2/(-6) + 0)*-9. Let d = 3 + k. Solve -2*m - 7 = 3*c, 5*m = -d*c + 2*c - 14 for c.
-1
Let y = 4 + -5. Let h be 7 - (-2 - (-1 + y)). Let k = h + -3. Solve -3*c = -4*w + 5, 0 = -2*c + k*w - 7*w + 8 for c.
1
Suppose -3*q = -5*b + 5, 0 = -b + 4*q - q + 13. Let a be -4*(-2)/4 - b. Solve -w - a*f + 16 = 0, -2*f + 4 = -w - 10 for w.
-4
Let b be (-8)/44 - 35/(-11). Suppose x - 4 + 2 = 0. Let u be 4/((-3)/((-3)/x)). Solve 4*o - 4*m = m - 6, -1 = b*o - u*m for o.
1
Suppose 0*k + 22 = 2*k. Let p = 13 - k. Solve -n - 5*f = -6, -3*n + p = f - 2*f for n.
1
Let o be (-18)/(2*(-9)/(-12)). Let w = -7 - o. Solve 5*b = -w*j + 4*j - 4, -4*b - 16 = 4*j for j.
-4
Let r(q) = -q**2 - 17*q + 1. Let i be r(-17). Let c(j) be the first derivative of j**4/4 - 1. Let l be c(i). Solve -3*y = 3*g, -2*y - l = y + 4*g for y.
1
Let i be ((-4)/(-6))/(3 - (-186)/(-63)). Solve 10 = 5*v, -5*g - 4*v + i = -3*g for g.
3
Suppose -7*f + 6*f = -6. Suppose i = -0*i - t + f, 5*t = 2*i - 12. Let d be (8/5)/((-2)/(-30)). Solve 4*n = -2*o - i - d, n - 2*o - 5 = 0 for n.
-5
Suppose 5*u - 75 = -0*u. Let h be (-3)/(4 + 5/(-1)). Solve f = -h*m + 3, 3*m = -0*m + 5*f - u for m.
0
Suppose -20 = -0*q - 4*q. Solve 0 = -3*k + q*k + 3*r + 13, 1 = -r for k.
-5
Let f = 8 - 15. Let n(c) = -c**2 - 7*c + 5. Let s be n(f). Solve -t + 6*t + 7 = 3*r, -r - 1 = -s*t for r.
4
Suppose 8*t - 20 = 4*t. Solve -1 = -a + 2*w, t = 8*w - 3*w for a.
3
Let k = -5 - -8. Suppose -p - 10 = -k*p. Solve 4*g + 3*d + 7 = 4*d, -p*d = 5*g - 10 for g.
-1
Suppose 0 = 5*l - 22 - 18. Suppose -2*s = 2*s - l. Suppose s*x - 1 = 7. Solve -4*f = t, -x = -t - 0*t for f.
-1
Let i = -2 - -4. Suppose 5*s = i*q - 55, -4*s + 59 = 4*q - 9. Suppose 5*w = 2*y + q - 2, y = 2*w - 7. Solve -p - w*h - 16 = 0, -5*p + 4*h + 1 - 9 = 0 for p.
-4
Let q(j) = 3*j + 3*j + 2*j + 3. Let i be q(3). Let v(a) = -a**2 + 5*a. Let f be v(5). Solve 2*c + 5*x = 3*c + 25, 3*c - 3*x + i = f for c.
-5
Let d(r) = 2*r + 8 - 2 - 5. Let l be d(-1). Let c = l - -3. Solve 3*s + 18 = -3*m, 2*s + m = c*m - 3 for s.
-3
Let q = 121 + -116. Solve 19 = q*i + 2*p, 5 = 3*i - 0*i - 2*p for i.
3
Let g = 5 + -3. Let h be 0/((-2)/2*1). Suppose -u + g*u - 3 = h. Solve -8 = d + 5*t, d = -d + 3*t - u for d.
-3
Let o(t) = -4 - 3 + 0*t - t + 3. Let m be o(-8). Suppose -2*v + 0*v = -m. Solve -4*h + b - 6 = 0, 3*h - 5*b - v = -b for h.
-2
Let l be -1 - 12/4 - -34. Solve -5*i + r = l, i + r + 2*r - 10 = 0 for i.
-5
Suppose -5*a - 4*n + 16 = 0, 3*n = 2*a - 2 - 9. Solve -3*t + 13 = 4*y - 3, 2*t = 4*y + a for y.
1
Let w = -38 - -32. Suppose -4*o = 3*q + 15 - 3, o + 3 = 2*q. Let g be o/((-9)/w)*-1. Solve 5*l + 13 = -3*j, l + 4 = g for j.
-1
Let f(d) = -3*d - 2. Let o be f(-3). Let n = o + -3. Solve -4*w = y - 4 - 14, 0 = -n*y - 4*w + 24 for y.
2
Let p = -93 + 97. Solve 0 = 4*y + 4, 3 = p*r - 4*y - 5 for r.
1
Let r be (2/(-4) - -1)*20. Let v = -6 + r. Let b = 9 - v. Solve 4*q - b*f = -4*f + 4, -5*q + 5*f + 20 = 0 for q.
0
Let q(v) = -v**3 + 4*v**2 - 3*v. Let m be q(3). Let w be m/((-3)/3*2). Solve -3*h - 5*y + 11 = w, 0*h - h = -3*y + 15 for h.
-3
Let s(y) be the second derivative of y**3/6 + 7*y**2/2 - 9*y. Let h be s(-6). Solve 2*i - i - 5*u - h = 0, -5 = -5*i + u for i.
1
Let j be (0 + 10)*(-2)/(-4). Solve -j*i + 2*m + 3*m = -20, 0 = -3*m - 9 for i.
1
Let h(q) = 2*q**2 - 16*q + 2. Let n be h(8). Solve 0 = -3*k - 3*l + 4 - 28, -n*l + 8 = -4*k for k.
-4
Let d(o) = o + 3 - 1 + 1. Let a be d(-3). Solve a = -3*z + 3*h + 21, -5*h + 1 = z + 18 for z.
3
Let i be (-38)/8 - (-13)/(-52). Let l(k) = -k**2 - 7*k - 7. Let y be l(i). Solve 31 = 4*u - 5*s, y*u - 18 + 0 = 2*s for u.
4
Suppose 4*l = 3*l + o + 4, 0 = 2*o. Solve -3 = 5*s - l*w + 4, 0 = -w + 3 for s.
1
Let z = 6 - 2. Suppose z*x - 33 - 3 = 0. Let v be (-4)/2*6/(-4). Solve 5*c = -v*k + 8 + x, -21 = -5*c - 4*k for c.
1
Let g = 10 + 8. Solve 0 = -r - 4*z + 2*z - 13, -3*z - g = r for r.
-3
Let b be 1 - (-4 + -2)/(6/4). Solve 0 = -a - 2*y + b, -3*a - 5*y + 5 = a for a.
-5
Let x = -3 - -7. Let j = x + -2. Suppose 4*d + j = 34. Solve 3*n - 3 = 5*f - 5, -2*n = d for f.
-2
Suppose 4*t = -16, -3*d + 0*d - 4*t - 88 = 0. Let x be -6*(-3 - d/9). Solve 4*h + 4*s + 17 = -15, -5*s - 12 = -x*h for h.
-4
Let j be 2*1 + (-5)/((-20)/(-8)). Solve j*c - 2*c + 10 = 2*z, -4*z = 2*c - 10 for c.
5
Suppose 0 = -2*f + 4*r + 18, 2*r + 2*r + 16 = 0. Let g(k) = -k**2 + 7*k - 5. Let h be g(6). Let w = f + h. Solve 3*t = w*b - 6, -2*t - 2*b + 3 = -b for t.
0
Let t(w) = w**2. Let k be t(2). Solve -k*l = -3*l + 4*z - 21, 0 = -2*l + z + 6 for l.
5
Suppose d - 74 = -3*c, 2*c = 4*d - 1 + 55. Solve 5*n = 2*n + 2*r + c, 4*n - 5*r - 45 = 0 for n.
5
Let x = -36 - -39. Solve -2*r = x*p - 14, -r - 3*r = 3*p - 16 for r.
1
Let a(c) = -c**2 - 7*c. Let d be a(-7). Let k be 16/(-12)*(3 + d). Let y be k/(-12) - (-35)/3. Solve h - 3*u - 3 = 0, -u = -6*h + 2*h + y for h.
3
Suppose -l - 5 - 1 = 0. Let n(g) = g**2 + 6*g + 2. Let y be n(l). Solve 4*r = -4*a + 20, -a - a = -y*r - 2 for r.
2
Suppose 3*t = -0*t + 180. Suppose q - 17 + 5 = -4*x, -x - t = -5*q. Solve 5*y - q = -4*w - 45, -3*w = -2*y - 4 for w.
-2
Let f be (16/(-6) - -2)/((-1)/3). Solve f*x - 4*j + 0*j = -26, 5*j - 20 = 0 for x.
-5
Suppose 0 = 4*b + 2*j - 34, 4*b + 0*b - 2*j - 46 = 0. Solve -5*i - y + 12 = 0, y + 3*y - b = -i for i.
2
Let k = 1 + 2. Let x(t) = -t**3 - t + 1. Let s be x(0). Suppose 2*w + s = 11. Solve -4*c = -0*h + w*h - 10, 17 = k*c - h for c.
5
Suppose 7*l + 4 - 25 = 0. Solve -5*d - 21 = 2*r, 0 = -2*d + r - l - 0 for d.
-3
Let n be 4/(-18) + 40/18. Solve 0 = n*v + 4, 3*f + 9 = 2*f - 5*v for f.
1
Let x = 5 - 0. Let j = 9 - x. Solve -2 = a, 4 = -2*v + a - j for v.
-5
Suppose 0 = 3*z - 2*z + 1. Let x(t) be the second derivative of -t**5/20 - t**3/6 - t**2/2 - t. Let p be x(z). Solve p = -2*k + 3*r, 5*r = 3*k + k + 3 for k.
-2
Let u(t) = 4*t - 44. Let l be u(13). Solve -4 = -5*n + 2*p - 0, l = n - 4*p for n.
0
Suppose -4*f = u, 0 = -3*f + 6*u - 5*u. Let w = 9 - f. Solve 3*q - w = -2*q + 2*n, -4*q - 3*n = 2 for q.
1
Suppose -y = -z - 2*z - 8, -5*y + 4*z + 18 = 0. Solve -y*q + g - 11 = 0, 4*q - 2*g - g = -27 for q.
-3
Suppose -2*r + 24 = 3*m + m, 4*r - 33 = -5*m. Solve 5*u + 10 = 3*o, 0 = -3*u - 0*o + 2*o - m for u.
-5
Let y(b) = 9*b + 61. Let w be y(-6). Solve 17 + 2 = 2*k - 3*o, 4*k + 3*o = -w for k.
2
Suppose 0*k = -6*k + 30. Solve -3*v - w + 9 = -5*w, 0 = -3*v - k*w + 9 for v.
3
Let n be 3 + (1 - 3) + -7. Let f be (1 + (-4)/n)*-3. Let u = 21 + f. Solve 3*g - u = -0*c + 2*c, -26 = -3*g + 4*c for g.
2
Let n be (28/42)/((-1)/(-9)) - 1. Solve -2*t + 0*s = -5*s + n, -2*t + s - 9 = 0 for t.
-5
Let x(y) = y**2 - 2*y - 11. Let u be x(5). Solve 2*m = -2*h - 2, 1 = 5*h + 4*m + u for h.
1
Let c be (-2 + 0)*3/(-3). Suppose 0 = -c*q - 10 - 2. Let y be (-2)/q + (-11)/(-3). Solve -y*v + 5*p - 2 = 0, -p + 0 + 2 = 0 for v.
2
Suppose 15*w - 24 = 11*w. Suppose -3*u + u + w = 0. Solve 0 = -2*m - 3*b + b - 12, 0 = b + u for m.
-3
Let g = -24 + 34. Let s = g - 8. Suppose -s*d + 3*d = 5. Solve d*p + o = -2 - 18, 5*p - 2*o + 20 = 0 for p.
-4
Suppose -1 = 4*x - i - 14, -2*x + i + 7 = 0. Suppose -18 = -4*u - x*a + 51, -3*u = -a - 42. Solve -5*c - u = 0, 4*p - 2*c = 2*c + 4 for p.
-2
Suppose 5 = h - 0*h. Let y(s) = s + 4. Suppose -z + 0*z - 4 = 0. Let i be y(z). Solve 10 = h*a, i = -0*p - 5*p - 5*a + 25 for p.
3
Let l be 2/(1/(-10)*-4). Let d(n) = 2*n**2 + 12*n. Let k be d(-6). Solve k = -4*q + 2*q + 3*t - 14, l*q + 5*t - 15 = 0 for q.
-1
Let a be 1 - 0*2/(-4). Let l be 1/a*(4 + -1). Suppose -4*w + 1 = -l*w. Solve 5*n + w = 3*s - 9, s - 10 = -5*n for n.
1
Let a(g) = g**3 + 7*g**2 - 7*g + 10. Let s be a(-8). Let o be s - -1 - (0 - -1). Solve -2*u + 7*u - 1 = o*y, 5*u = y - 2 for u.
-1
Let g = 0 + 1. Let x be 0/(-1)*g/(-2). Suppose x = v - 2*v. Solve -i + 10 = 4*b - 1, v = -4*b - 2*i + 10 for b.
3
Let x(k) = k**3 - 5*k**2 + 3*k - 12. Let w be x(5). Solve -3 = -3*m - 0*m, 2*o + 5 = -w*m for o.
-4
Suppose 0 = w + p - 3, 3*w = 2*w + 3*p + 7. Let z be 1/(-2) - (-413)/14. Let m be (-2)/9 - (-188)/36. Solve m*f = 2* | {
"pile_set_name": "DM Mathematics"
} |
-6) + (-4)/6. Let m(u) = 6 + z*u - 4 - 2. Let g(y) = -3*y**2 + 8*y**2 - 4*y**2. Calculate m(g(t)).
2*t**2
Let c(m) = 11*m. Let d(g) = 3*g + 10. Let h(x) = 2*x + 9. Let v(w) = -4*d(w) + 5*h(w). Let f(i) = 6*i - 14. Let s(l) = -5*f(l) - 14*v(l). Determine c(s(u)).
-22*u
Let h(p) = 10*p. Let x(s) = 2*s - 13. Determine h(x(l)).
20*l - 130
Let a(j) = 54*j**2. Let z(f) = 59*f**2 + 58*f**2 - 114*f**2. Determine a(z(u)).
486*u**4
Let k(q) = 694*q. Let a(g) = 2*g**2. Calculate k(a(r)).
1388*r**2
Let h(b) = -7*b. Let d(m) be the second derivative of 4*m + 0*m**4 - 1/30*m**5 + 0*m**3 + 2*m**2 + 0. Let p(x) be the first derivative of d(x). What is h(p(l))?
14*l**2
Let c(v) = -3999*v**2 + 4000*v**2 - v + v. Let o(j) = 7*j**2. What is o(c(p))?
7*p**4
Let o(v) be the second derivative of -13*v**4/3 + 13*v + 2. Let b(y) = 2*y**2. Calculate o(b(x)).
-208*x**4
Let a(s) = 2*s. Let q(d) be the first derivative of -5*d**2/2 + 2. What is q(a(w))?
-10*w
Let s(f) = -2*f. Let m(z) be the second derivative of -z**3/2 - 10*z. Give m(s(v)).
6*v
Let z(v) = -18*v. Let a(n) = -2*n - 4. Determine z(a(j)).
36*j + 72
Let w(k) = -5*k. Let u(t) = -t**2 + 160. Calculate w(u(q)).
5*q**2 - 800
Let l = -23 - -39. Suppose -4*z + 0 - l = 0, 0 = 4*u + 3*z. Let k(m) = -u*m + 3*m - 2*m. Let r(s) = -2*s. Give k(r(f)).
4*f
Let o(a) = -4*a**2 + 13*a + 13. Let k(d) = 3 + 0*d**2 + 0 - d**2 + 3*d. Let l(y) = -26*k(y) + 6*o(y). Let v(r) = -r. What is l(v(w))?
2*w**2
Let w(t) = -t**2 + 2100 - 2100. Let d(i) = 40*i - 2. Give d(w(j)).
-40*j**2 - 2
Let m(j) = -7*j**2 - 4*j**2 + 2*j**2 - j**2. Let i(a) = a. Determine m(i(y)).
-10*y**2
Let y(r) = 15*r. Let v(b) = -11*b. Calculate y(v(p)).
-165*p
Let s(h) = 4*h**2. Let w(r) = -16*r + 17. Calculate w(s(g)).
-64*g**2 + 17
Let x(y) be the second derivative of 2*y**4/3 + 3*y - 5. Let f(i) = 0*i + i + 0*i. Calculate f(x(a)).
8*a**2
Let v(x) = 5*x**2. Let m(n) = -n. Calculate m(v(j)).
-5*j**2
Let b(p) = -2*p**2 - 800*p + 800*p. Let l(n) = -2*n**2 + 68*n. Calculate l(b(r)).
-8*r**4 - 136*r**2
Let i(z) = -2*z**2. Let d(k) = -7*k. Let c(t) = 3 + 10*t - 3. Suppose 0 = -2*n + 4*f - 0*f - 14, 5*f = 4*n + 28. Let h(m) = n*d(m) - 5*c(m). Determine i(h(l)).
-2*l**2
Let v(m) = m. Let s(h) = -178*h. Determine v(s(a)).
-178*a
Let r(a) = -10*a**2 - 8*a**2 + 17*a**2. Let z(g) be the third derivative of g**4/12 - g**2. Calculate z(r(m)).
-2*m**2
Let b(x) = 2*x - 57. Let r(s) = -4*s. What is r(b(h))?
-8*h + 228
Let w(d) = 3*d**2. Let b(m) be the second derivative of -m**4/24 - m**2 - 2*m. Let n(k) be the first derivative of b(k). Give w(n(q)).
3*q**2
Let s(r) = 186*r**2. Let a(q) = -9*q**2. What is s(a(f))?
15066*f**4
Let n(j) = 4*j**2. Let o(c) = -c**2 - 12*c. Determine n(o(f)).
4*f**4 + 96*f**3 + 576*f**2
Suppose -2*r - 1 = -5. Let j(v) = 3*v**2 - r*v**2 - v + v. Let u(p) = -4*p - 14. Let y(x) = x + 3. Let h(z) = 3*u(z) + 14*y(z). Calculate h(j(m)).
2*m**2
Let v(q) = 7*q**2. Let i(a) = 572*a**2. Give i(v(l)).
28028*l**4
Let c = 6 + -4. Let l(t) = -1 + 1 + t**c. Let q(y) = 5*y**2. Give q(l(x)).
5*x**4
Let c(a) = 2*a. Let u(f) = 159*f**2. Give u(c(w)).
636*w**2
Let b(u) = -u**2. Let a(y) = 28*y + 5. Determine b(a(v)).
-784*v**2 - 280*v - 25
Let u(a) = -2*a. Let o(c) = c**2 + 5*c. Let m(j) = 2*o(j) + 5*u(j). Let n(t) = 282 - 282 - t**2. Calculate n(m(g)).
-4*g**4
Let x(q) = 2*q**2. Let y(z) be the second derivative of 1/3*z**3 + 0 + z - 1/24*z**5 + 0*z**2 + 0*z**4. Let k(c) be the second derivative of y(c). Give k(x(i)).
-10*i**2
Let b(g) be the first derivative of -9*g**2 - 7. Let d(j) = 2*j**2. What is d(b(q))?
648*q**2
Let b(z) = 5*z**2. Let g(m) = 5*m - 3*m + m - 2*m. Calculate b(g(n)).
5*n**2
Let d be 0 - 6/(-2 + 0). Let p(m) = -m**2 + d - 3. Let o(l) = 2*l**2. Determine o(p(q)).
2*q**4
Let q(f) = f. Let p(y) = -19*y + 12*y + 7*y - 22*y**2. Determine q(p(u)).
-22*u**2
Let m(h) = h. Let b(x) = 3*x**2 - 179*x**2 - 32 - 31 - 41*x**2 + 63*x. Let p(i) = -7*i**2 + 2*i - 2. Let w(s) = 2*b(s) - 63*p(s). Determine m(w(z)).
7*z**2
Let d(l) = 38*l. Let w(y) = 12*y**2. Give w(d(c)).
17328*c**2
Let t(g) = 2*g. Let i(r) = -3*r. Let o(k) = k**3 - 6*k**2 + k + 3. Let x be o(6). Let z(n) = -x*n - 2*n + 4*n. Let v(d) = -5*i(d) + 2*z(d). Calculate v(t(b)).
2*b
Let o(w) = -19*w**2 + w. Let l(q) = -2*q**2. Determine l(o(x)).
-722*x**4 + 76*x**3 - 2*x**2
Let n(k) = 5*k**2. Let a(s) be the second derivative of 2*s**3/3 + s**2 + s. Let m(f) = 13*f + 7. Let p(w) = -7*a(w) + 2*m(w). Calculate p(n(h)).
-10*h**2
Let a = -8 - -11. Let j(y) = a - 4 - y**2 + 1. Let q(n) = n**2. Determine q(j(v)).
v**4
Let u(b) = 2*b. Let j(i) = 115*i + 7. Give u(j(y)).
230*y + 14
Let z(h) be the second derivative of 3*h**4/4 - 11*h. Let t(c) = c. What is t(z(j))?
9*j**2
Let w(r) = -6*r**2. Let f(b) = -5*b - 2. Let j(q) = -5*q - 3. Let g(t) = 3*f(t) - 2*j(t). Give w(g(k)).
-150*k**2
Let l(x) = -x**2. Let u(w) = -1942*w**2. What is l(u(q))?
-3771364*q**4
Let b = -2 - -4. Let c(z) = -5*z**2 + 2*z**b + 4*z**2. Let s(a) = -a**2. What is c(s(o))?
o**4
Let v(h) = 192*h + 3. Let s(w) = -w. Calculate s(v(o)).
-192*o - 3
Let b(a) = a**2. Let v(k) = k**2 - 3. Calculate b(v(d)).
d**4 - 6*d**2 + 9
Let k(a) be the third derivative of 0*a + 0 + 0*a**3 - 1/24*a**4 - a**2. Let w(c) be the first derivative of 2*c**3/3 + 6. Determine w(k(f)).
2*f**2
Let y(a) = 64*a + 5. Let g(u) = 6*u. Give g(y(x)).
384*x + 30
Let a(k) = -4*k + 70. Let w(g) = g**2. What is a(w(r))?
-4*r**2 + 70
Let t(m) = m**2. Let o(w) = 4*w**2 - 6*w**2 + 5*w**2. What is t(o(p))?
9*p**4
Let x(j) = 4*j. Let b(h) = 3*h - 1. Suppose 0 = q - 0*q + 3*g + 16, 3*g + 15 = 0. Let p(d) = d + 1. Let a(z) = q*p(z) - b(z). Determine a(x(y)).
-16*y
Let t(h) = -h**2 - 3*h. Let n(w) = 292*w. What is t(n(q))?
-85264*q**2 - 876*q
Let p(z) = 1. Let l(n) = n - 2. Let k(t) = -l(t) - 2*p(t). Let x(f) = 3 - 7*f + 9*f - 3. Give x(k(y)).
-2*y
Let k be 18/8 - 1/4. Let l(b) = 84 + 2*b - 84. Let q(m) = -2*m. Let z(f) = k*q(f) + 3*l(f). Let r(w) = -w. Determine r(z(p)).
-2*p
Let j(q) = -2*q. Let l(n) = -131*n**2. Give j(l(t)).
262*t**2
Let b(m) = 11*m**2 - 8. Let s(x) = -7*x**2 + 5. Let o(z) = 5*b(z) + 8*s(z). Let q(d) = -6*d. Let g(r) = -r. Let a(v) = 4*g(v) - q(v). Calculate a(o(p)).
-2*p**2
Let w(z) = z. Let r(f) be the second derivative of -f**5/60 - f**3/2 + 3*f. Let u(k) be the second derivative of r(k). Determine u(w(y)).
-2*y
Let x(u) = 9*u**2 + 2. Suppose 10 = 2*q - 4*q. Let j(b) = 17*b**2 + 5. Let c(k) = q*x(k) + 2*j(k). Let f(g) = g. What is c(f(r))?
-11*r**2
Let l(o) = 2*o. Let t(i) = 3920*i**2. Give t(l(x)).
15680*x**2
Let x(w) be the third derivative of 0*w + 2*w**2 + 0 - 1/24*w**4 + 0*w**3. Let k(u) = u. What is x(k(z))?
-z
Let s(t) = 4*t + 0*t + 4 - 2*t. Let y(x) = x + 3. Let h(p) = -3*s(p) + 4*y(p). Let o(u) = 19*u - 37*u + 21*u. What is h(o(r))?
-6*r
Let t(n) = -3*n. Let j(h) = 16*h - 3. Let g(k) = -33*k + 7. Let l(q) = 3*g(q) + 7*j(q). Calculate t(l(y)).
-39*y
Let d(n) = -3*n**2. Let b(h) = -48*h - 1. Give d(b(w)).
-6912*w**2 - 288*w - 3
Let v(a) be the first derivative of a**2/2 + 72. Let q(f) = 0*f + f + f. Determine v(q(l)).
2*l
Let y(w) = 10*w. Let o(q) = -q. Let n(k) = 2*k. Let z(r) = 3*n(r) + 7*o(r). Calculate y(z(l)).
-10*l
Let l(i) = -722*i**2 + 293*i**2 + 330*i**2. Let z(d) = -d**2. Calculate l(z(r)).
-99*r**4
Let j(g) = 6*g**2. Let i(w) be the second derivative of w**7/2520 - w**4/6 - 2*w. Let l(x) be the third derivative of i(x). What is l(j(r))?
36*r**4
Let p(j) = -2*j - 4. Let l(g) = 1 - g + 3*g + 0*g + 2. Let r(c) = -4*l(c) - 3*p(c). Let x(w) = w + 2*w + 0*w. Give x(r(t)).
-6*t
Let g(s) be the first derivative of 0*s + 0*s**2 + 1 - 4/3*s**3. Let y(t) = 42 - 42 - 4*t**2 + 2*t**2. Calculate y(g(i)).
-32*i**4
Let d(c) = 28*c**2. Let b(w) be the second derivative of -w**3/6 - 5*w. Determine b(d(g)).
-28*g**2
Let k(o) = -o**2. Let j(u) = -7*u**2 - 50*u. Let i(y) = -y**2 - y. Let t(l) = -6*i(l) + j(l). Determine t(k(z)).
-z**4 + 44*z**2
Let n(c) = -2*c. Let q(j) = 22*j + 8*j + 4*j. Give n(q(b)).
-68*b
Let d(l) = -2*l. Suppose -2*t + 3*t - 9 = 3*q, 5*q - 5*t = -25. Let p = 6 - q. Let c(o) = -p + 8 - o. Give d(c(s)).
2*s
Let s(h) = 6*h**2. Let v(z) = 5 + z + 2*z - 7 - 4*z. Let d(w) = 5*w + 9. Let r(j) = 2*d(j) + 9*v(j). What is r(s(g))?
6*g**2
Let m(s) = -s + 6. Let | {
"pile_set_name": "DM Mathematics"
} |
2*w = -2. Solve -m*c + 2*z = 4*z, -5*c - 4*z = 0 for c.
0
Let h be (-2 - -1)/(999/(-3996)). Solve h*g + 0*u - 20 = -5*u, 5*g - 8*u - 25 = 0 for g.
5
Suppose 0 = -5*o - 2*m - 745, -11*o + 735 = -16*o - 4*m. Let i = 153 + o. Solve 2*u - f = -9, 5*u + f - i*f = -18 for u.
-3
Suppose 15*p = p + 28. Suppose -4*x = -p*q - 4, 2*q + 2*q = -3*x + 3. Let a be (-10)/4*6/(-5). Solve 2*g + 3*g + a*k = -x, 3*k - 9 = 0 for g.
-2
Let y = 4 + -4. Let j be (-1 + y + -5)/(-1). Suppose 0 = 19*u - 115 - 37. Solve 5*s - 26 = -j, -2*s = 4*t + u for t.
-4
Let w(k) = k**3 + 14*k**2 + 20*k - 14. Let y(x) = -x**2 + x. Let z(d) = -w(d) - y(d). Let g be z(-11). Solve g*h + 8 = -2*m, 0 = m - h - 1 for m.
-1
Suppose 247 = -n + 125 + 124. Solve y = -4*w + 8 - 14, 0 = w + n*y - 2 for w.
-2
Let z(g) = g**2 + 10*g - 114. Let c be z(7). Solve 2*n + c = 5*j, 47*j - 12 = 2*n + 49*j for n.
-5
Let v be (-90)/(-24) + -1 - (-7 - (-23)/4). Solve -4*d + 8 = 3*h, v*h + 5*d = h + 13 for h.
-4
Suppose -5*z - 5 = 0, -3 = 2*d - 5*z - 14. Suppose -5*c - 8 + 26 = -v, -d*v + 5*c - 14 = 0. Solve v*m = -5*f + 2, -5*m = -4*m - f - 1 for m.
1
Suppose 233*z - 3763 = 64*z + 293. Solve -62*b + 4*o + 4 = -65*b, -2*o = -5*b - z for b.
-4
Suppose 0 = -20*v - 831 + 891. Solve -v*i - 3*c - 3 = -12, 2*i - 5*c = -29 for i.
-2
Let q = 987 - 982. Suppose 3*c + 5 = 4*z, 0*c = q*z + c - 30. Solve -4*l + z*n = 32, -5*l + 5*n - 21 = 14 for l.
-3
Let d = -4480 + 4482. Solve -d*b = -3*a + 11, -45*b + 49*b + 3*a = 5 for b.
-1
Suppose 8*g = 3*g + 4*m + 16, -m + 21 = 5*g. Solve 0 = 2*r + g*d - 16, -4*r + 6*d - d = 7 for r.
2
Let u(f) = -10*f + 132. Let n be u(13). Solve 0 = 2*z - 4*i + n*i - 4, 2*z + 5*i - 25 = 0 for z.
5
Suppose -3*x + z = 54, x - 4*z + 29 = -0. Let y = x + 19. Solve -9 = 5*t + u, 3*t = y*u + 2*u - 10 for t.
-2
Let t = -58 + 63. Suppose t*w - 3*n + 8 = 0, n + 7 - 4 = -4*w. Let f be w/(1 + -2) - (-225)/25. Solve -5*r = 15 + f, 3*o + r = 7 for o.
4
Suppose -3*s = -j - 12, -5*s + 2*j = 1633 - 1654. Solve s*c + 4*q + 5 = 0, 18 = -5*c - 0*q + 3*q for c.
-3
Suppose 3*g - g - 5*f + 34 = 0, -5*g + 5*f - 55 = 0. Let o be 29 + -2 - 14/g*-2. Solve 0 = -2*h - 4*w - 6, 0*h - 3*w = -4*h - o for h.
-5
Let j(l) = -l**2 - 10*l + 1018. Let q be j(28). Suppose -3*m = v + 126, -3*m = -0*v + 4*v + 117. Let p = m - q. Solve k + 3*u = -p*k - 4, -4*u = -k + 18 for k.
2
Let s(b) = -b**3 - 68*b**2 - 67*b + 5. Let g be s(-67). Solve -3*k = 2*d - g, -2*k + 4*d + 9 - 11 = 0 for k.
1
Suppose -119*v + 178 + 417 = 0. Solve -4*w + 85 - 47 = -5*l, 2*w - 4 = -v*l for l.
-2
Let f be -7 - -9 - (-3 + 4). Let d(k) = k - 3 + 18 + 1 - f. Let z be d(-8). Solve -6*j = -4*j + s - z, -2*j + 3*s + 19 = 0 for j.
5
Let j be (-53)/106*(-9 - 1). Solve 0 = 2*l - j*a - 14, 1 - 3 = 4*l + 5*a for l.
2
Let k be (4/10 - (-116)/10)*-29. Let s = k + 372. Solve -s = -3*i - 0*n - 3*n, i - 2 = n for i.
5
Let m = 7288 - 7273. Solve -3*o - 16 = -n, m*o + 18 = 12*o + 3*n for o.
-5
Let n = 261 - 252. Let r = -116 + 120. Solve 2*t - 4 = r*b, -3 = -4*b + t - n for b.
-2
Let i be (-16)/(-32)*(2 - (-8)/2 - -2). Solve -2*p + 37 = 5*m, 12*m - 8*m = -i*p + 44 for p.
6
Suppose -2 + 23 = c + 5*v, 0 = -2*c + 4*v. Suppose -1 = 2*u + j, -u - 2*j - c = u. Solve -u*g + 3*g + 5*n = -14, 0 = -2*g - n - 1 for g.
1
Let k = 19971 - 19963. Solve 3*x - 7*x + 2*r = -k, -2*x = 2*r - 10 for x.
3
Let r = 2349 + -2340. Solve b = -a + 3, -b + 0 = -2*a + r for a.
4
Suppose -164 + 49 = 8*n - 33*n + 635. Let j be 1*(2/1 - -13). Solve -3*k + 0*k + j = 0, -5*k = q - n for q.
5
Let t be -57*((-15)/12 - 186/(-72)). Let b = t + 80. Solve 3*u + b*c = -3, -4*u = -4*c + 2 + 2 for u.
-1
Suppose -8*z + 319*n = 324*n - 136, 2*z + 3*n = 34. Solve 4*s = 9*s - 2*j + z, -3*j - 12 = 0 for s.
-5
Let m = 4232 + -4211. Solve -5*i - m = -4*a, -21*i - a = -23*i - 6 for i.
-1
Suppose -14 = -2*a + l + l, 44 = 4*a + 4*l. Let g be (a/27)/(1 + 32/(-36)). Solve 2*w + 12 = -2*r, -g*w + 5*r + 24 = -5*w for w.
-2
Let s = 292 - 322. Let f be 2/4*(s + 38). Solve z - 7 = -4*v - 3, 0 = 2*v - f*z + 16 for v.
0
Let o(g) = g**2 + 15*g + 36. Let a be o(-3). Suppose -36 = -9*r - a*r. Solve -r*c - 30 = 2*k, 45 = -5*c - 0*k - 4*k for c.
-5
Let p = -8279 - -8286. Solve 0 = -2*k - 2, -d - 6*k - 3 = -p*k for d.
-4
Let y = 1459 + -1456. Solve 3*b = 2*z + y + 7, -3*z - 5*b + 23 = 0 for z.
1
Let p be 30/(-45)*282/(-4). Let a = p - 44. Let i(u) = u - 8. Let s be i(10). Solve -o + a*g + s = -1, -2*o = g - 6 for o.
3
Let r(t) = -14*t + 90. Let k be r(4). Suppose -k = -3*y - 10. Solve -2*x = 3*c + 13, 0 = 3*c - y*c - x - 10 for c.
-1
Suppose 0 = -94*c + 457 - 81. Solve -5*y = c*r + 12, -15*r - 15 = 4*y - 10*r for y.
0
Let m(k) = -k**3 - 9*k**2 - 15*k + 4. Let x be m(-7). Let y be (-4)/(-5) - x/(-5). Solve y*j + z - 12 = -2*z, z = 5*j - 14 for j.
3
Suppose 5*n = -5*v, -7*v - 4*n - 12 = -6*v. Solve 7 + 3 = -2*p, -v*l + 28 = -4*p for l.
2
Let b be (5/(-9))/(3904/(-144) + 27). Solve -3*a = 0, -b*t - 4*a = -t - 8 for t.
2
Let b = -50 - -49. Let g be 22/(b*(-2 + 0)). Suppose -2*y = 3*m - g, -2*m + 7*m = -5*y + 20. Solve v - 2 = -m*z + 8*z, 4*v + 5*z - 8 = 0 for v.
2
Let j(g) = g**2 + 24*g - 127. Let u be j(5). Solve -4*z = 4*r - 24, -2*z + 2*r = -7*z + u for z.
2
Let k(w) = -394*w - 5900. Let c be k(-15). Solve 5*r + 15 = 0, -21 = -c*l + 8*l + 5*r for l.
3
Suppose 0 = -5*c + 25, -42*c + 43*c + 3 = t. Solve b - 7 = j, -5*b + 18 = t for j.
-5
Let u be 15/(-12)*-4 - 121. Let d = u - -122. Suppose -2*t - d*t + 40 = 0. Solve -4*y + 3*x = -2*x + 20, y - 3*x = -t for y.
-5
Let o be 5 + 1 - (-1 - -2). Let m = -79509 + 79518. Solve -m - 5 = l - 3*p, -30 = o*l - 5*p for l.
-2
Suppose -w = -2*s - 11, -5*w - s + 50 = -6*s. Suppose 3*z + 12 = w*z. Solve c + 4*n + 18 = 0, 4*n = z*c - 4*c - 20 for c.
-2
Suppose -106*l + 56*l = -58*l + 64. Solve -5*k - 2*o - l - 2 = 0, -10 = 5*k + o for k.
-2
Suppose 4*g - 4*p = 16, -2*p = g - 7*p. Let m(o) = -g + 5 + 6*o - o**2 - 4*o. Let f be m(2). Solve 3*w + 40 = 5*t, -2*t - 15 = -f*w + 5*w for t.
5
Suppose 6*m - m + 5 = 0. Let a be m/3 - (-19)/57. Solve a = -4*w - c - 15 - 7, -5*w + 4*c = 17 for w.
-5
Let f(q) = -2*q**2 + 22*q - 34. Let h be f(9). Let s be (4 + -3 - -5 - 0) + -4. Solve s*y = -h*a - 2*y + 4, 0 = -3*a + 3*y - 12 for a.
-2
Let h be 490/1225 - (-3 + (-2)/(-5) + 1). Suppose -2*g = 2 - 6. Solve -5*j + 3*j - 6 = g*l, h*l = -10 for j.
2
Let h = 3653 - 3648. Solve 20 = 2*g - 4*s + 2, -4*g - 29 = h*s for g.
-1
Let p = -4742 - -4754. Solve k - 4 = -g, 8*k = 3*g + 3*k - p for g.
4
Suppose 42*l - 492 = 21*l - 102*l. Solve 4*t - 2*n = -4, -l*t + 0*t - 3*n = 14 for t.
-2
Let b(a) = -3*a - 10. Let h = 10 - 14. Let t be b(h). Suppose -3*q - 2*q = -3*r - 7, -2*r + t = 0. Solve 0 = -w - 5, 0 = f + 2*f + q*w + 1 for f.
3
Suppose -10529*q + 10554*q = 150. Solve 2*k + 8 = -5*o, -3*k - 10*o - 5 = -q*o for k.
1
Let z(p) = p**3 + 2*p**2 - 119*p + 45. Let f be z(-12). Solve 34*i - 4*b = f*i + 7, -4*i - 5*b - 14 = 0 for i.
-1
Let g = 115 - -298. Let a = -383 + g. Solve -h + 3*m = -11, 4*h - 2*m - a + 6 = 0 for h.
5
Suppose -4*s = -4*c - 256, -2*s = -c - 47 - 12. Let r = c + 72. Solve -6 = r*q, 4*q + 12 = 2*y - 0*y for y.
2
Let s = 6372 + -6369. Solve -3*h - j + 17 = 0, -31*j = -s*h - 26*j - 13 for h.
4
Suppose -1386*v - 2412 = -1390*v. Let a = -602 + v. Solve 0 = -3*i + b - a, 0 = -5*i - b + 5*b + 3 for i.
-1
Let z(x) = -x + 2. Let h = 6 + -7. Let l(j) = j**2 + 5*j - 20. Let r(s) = h*l(s) - 6*z(s). Let b be r(3). Solve v = -2*i + 4, i - 2*i = -b*v - 2 for i.
2
Let d(f) = -12*f**2 + 201*f + 56. Let v be d(17). Solve v*p - 5 + 6 = b, -3 = -3*b + 5*p for b.
1
Let p be (-12)/(-162) + (-1330)/(-270). Solve -2*b - 12*x = -14*x + 6, -b = x + p for b.
-4
Let o(a) = -3*a**2 + 69*a - 225. Let f be o(19). Solve 4*t + 0*u - f = -u, 5*t + 4*u = 12 for t.
0
Let w be (12/15)/((-10)/1175). Let l = w - -160. Suppose 5*n + n - l = 0. Solve 4*c = 4*p - 4, p - 3*c + n = c for p.
5
Suppose -2*k - 25 = 5*b, 0 = -5*k + 3*k - 3*b - 23. Let h be 2028/65 - (-2)/k. Solve -3*z - h = 5*n, 5*z - 20 = 5*n - 5 for z.
-2
Let z(o) = -2*o**3 - 71*o**2 - 174*o - 291. Let y be z(-33). Solve 5 = -h + 2*f, -4*f + y = 2*h - 0*h for h.
-1
Suppose -2*l + 32 = 5*q + 7, -2*q - l = -11. Solve 2 = -2*n + 10*t - 12*t, 27 = q*n - 3*t for n.
4
Let v(t) = t**2. Let q(m) = -m**2 - | {
"pile_set_name": "DM Mathematics"
} |
derivative of r(i) wrt i?
-44
Let o(f) = 41*f + 246. Let q be o(-6). Let m(s) be the first derivative of -6 + 0*s**3 + q*s - 1/4*s**4 - 4*s**2. What is the second derivative of m(v) wrt v?
-6*v
Let z(c) = 95*c - 53. Let l be z(2). Differentiate 74 - 67 - g**3 + 49 + l + 20*g + 29*g with respect to g.
-3*g**2 + 49
Let g(u) be the first derivative of -u**6/3 - 75*u**5 - u**3 + 255*u**2/2 + 7*u + 3324. What is the second derivative of g(x) wrt x?
-40*x**3 - 4500*x**2 - 6
What is the derivative of -g**4 - 279*g**2 + 44 + 163*g**3 + 0*g**4 + 550*g**2 - 271*g**2 wrt g?
-4*g**3 + 489*g**2
Let b(d) = 93*d**2 + 13*d - 21. Let z be b(2). Differentiate 17*v + z - 6*v + 15*v - 2*v**3 - 422 wrt v.
-6*v**2 + 26
Let u(y) be the third derivative of -101*y**8/336 - 667*y**5/60 - 1451*y**2. Find the third derivative of u(j) wrt j.
-6060*j**2
Let f be -3*1*12/(-9). Let p = 6807 - 6805. What is the first derivative of 21*a**p + 19 - f*a**2 + 11*a**2 wrt a?
56*a
Let y(q) = 62*q - 1033. Let c(a) = -a**3 + 126*a - 2066. Let b(s) = -3*c(s) + 5*y(s). Differentiate b(t) with respect to t.
9*t**2 - 68
Suppose 5*d - 849 = 60516. Suppose 11*z = 10*z + d. Find the third derivative of f**6 + 19*f**2 + 12273*f - z*f wrt f.
120*f**3
Let g(c) be the third derivative of 11*c**6/15 - 43*c**5/3 + 1531*c**2. Find the third derivative of g(u) wrt u.
528
Find the second derivative of 636*j + 142*j + 43*j**2 - 3*j**3 + 211*j**2 wrt j.
-18*j + 508
Suppose k + 1 = 3. Let d(y) be the first derivative of -40 - 7*y**2 - k*y + 4*y + 5*y**5 - 8*y**2. Find the second derivative of d(q) wrt q.
300*q**2
Suppose -t + 5*t = -3*s + 8, 5*t - 3 = -2*s. Let p(z) = z. Let l(b) = 70*b - 20. Let o(w) = t*p(w) + l(w). Find the first derivative of o(g) wrt g.
69
Let k(i) = 2*i**5 + 14*i**3 - 80*i**2 + i - 1. Let z = 342 - 343. Let x(w) = w**3 + w - 1. Let y(n) = z*k(n) + x(n). Find the third derivative of y(f) wrt f.
-120*f**2 - 78
Let u(a) be the first derivative of -41*a**5/10 + 29*a**2/2 + 58*a + 17. Let n(i) be the first derivative of u(i). Differentiate n(q) wrt q.
-246*q**2
Suppose 2*t = 11*t - 54. What is the third derivative of 43*w**6 - 4*w**4 + 10*w**2 - 4*w**4 - 40*w**t wrt w?
360*w**3 - 192*w
What is the third derivative of -346*c**2 + 1744*c**2 + 1026*c**2 - 2*c**6 - 23*c**3 - c**6 + 5*c**6 wrt c?
240*c**3 - 138
Let j(r) be the first derivative of -4189*r**3/3 - 4363*r - 1536. Differentiate j(l) with respect to l.
-8378*l
Let p(s) = 2*s**2 - 14*s + 24. Let m be p(5). Let y = 26 - 15. What is the derivative of -8*k**4 - 18 + 4*k**4 + 11*k**m + y*k**4 wrt k?
72*k**3
Let s(c) = -c**2 + 25*c + 57. Suppose -73*b - 27 = -74*b. Let d be s(b). What is the third derivative of -103 - 7*t**2 - 8*t**d + 103 wrt t?
-48
Let w(u) = -2*u**2 - 51*u - 9. Let p be w(-24). What is the third derivative of s - 127*s**3 + 10*s**2 + 56*s**3 + p*s**3 wrt s?
-48
Let b = 724 + -722. Differentiate 104*j**2 + 187 + 91*j**2 - 10*j**b with respect to j.
370*j
Let q(t) = -62*t + 5. Let b be q(-6). Suppose 5*y + 95 = 5*v - 1800, -5*v + 1877 = 4*y. Differentiate -10*u**2 - v*u + 16 + b*u wrt u.
-20*u
Let u(f) be the first derivative of 88*f**3/3 - 29*f**2 - 6*f - 324. Find the second derivative of u(j) wrt j.
176
What is the third derivative of 72 - 46105*a**4 - 163*a**3 - 4*a**2 + 3*a**2 + 46111*a**4 wrt a?
144*a - 978
Let q(p) be the first derivative of -p**5/5 + 54*p**4 - 2903*p**3/3 + 7817. Find the third derivative of q(n) wrt n.
-24*n + 1296
What is the derivative of -493 + 220*n + n**2 + 91 + 94 wrt n?
2*n + 220
Suppose -402 = -z - 298. What is the second derivative of -57*i - 127*i**2 + z*i**2 - 19*i wrt i?
-46
Let b be -2 - (1 + 4)*(-4)/4. What is the second derivative of 32*a**b - 19*a**3 - 1 - 1 - 10*a - 6*a - 25*a - a**2 wrt a?
78*a - 2
Suppose 3*k = 15 - 0. Suppose 0 = g - 0*o - 3*o - 8, -k*o + 10 = 0. Find the second derivative of 20*n + 0*n**3 + g*n + 3*n**3 - 27*n wrt n.
18*n
Let o(p) be the first derivative of p**5/20 - 17*p**4/3 - 50*p**2 + 63*p - 144. Let r(n) be the first derivative of o(n). Differentiate r(k) wrt k.
3*k**2 - 136*k
Find the second derivative of -5144*m + 26159*m**3 - 12480*m**3 - 12560*m**3 wrt m.
6714*m
Suppose -21*a - 2 = -r - 25*a, 4*r - 5*a - 8 = 0. Differentiate r*t**3 - 4*t**4 - 121 + 73 + 33 wrt t.
-16*t**3 + 6*t**2
Let z(s) = s**3 - 5*s**2 - 11*s + 6. Let f be z(5). Let u be ((-35)/f)/((-2)/(-14)). Differentiate k**4 + k**4 + u + 8*k**2 - 8*k**2 with respect to k.
8*k**3
Let w = -867 - -871. Differentiate 22*n**3 - 65*n**w - 7*n**3 - 238 + 66*n**4 + 60 with respect to n.
4*n**3 + 45*n**2
Let p(t) be the second derivative of -61*t**4/12 + t**3 + 1321*t**2/2 - 3245*t. Differentiate p(d) wrt d.
-122*d + 6
Let f(b) be the first derivative of -2/3*b**3 + 0*b**4 + 113 + 0*b**2 + 25*b**5 + 54*b. What is the first derivative of f(s) wrt s?
500*s**3 - 4*s
Let f(a) be the second derivative of 13*a**6/30 - 12*a**5/5 - 2*a**4/3 + 13*a**3/3 - a - 891. Find the third derivative of f(l) wrt l.
312*l - 288
What is the first derivative of 877*n - 515 - 45 - 2939*n - 175 + 85 wrt n?
-2062
Let o(l) be the first derivative of -263*l**4 - 1627*l - 821. Find the first derivative of o(b) wrt b.
-3156*b**2
What is the second derivative of 113*q**2 - 281*q**2 - 1493*q**5 - 1245*q + 55*q**2 + 113*q**2 wrt q?
-29860*q**3
Let k be 40/(-6)*(-4 - 2/4). Suppose 6 = -8*f + k. Find the second derivative of f*n - 4*n + 17*n**2 - 34*n**2 - 3*n + n**3 + 3 wrt n.
6*n - 34
Let j be 12/(-10)*(-14 - (-4 + -5)). What is the second derivative of -14 + j + 9*k**5 - 4*k - k**2 - 3*k + 21*k**5 wrt k?
600*k**3 - 2
Differentiate 2842*v - 778 + 24*v**3 - 64*v**3 + 126 - 2826*v with respect to v.
-120*v**2 + 16
Let q = 48 + 11. Let b = q - 57. Differentiate 20*c**b - 35 - 75*c + 75*c with respect to c.
40*c
Let t(y) = -y**3 + 7*y**2 + y + 3. Let r(k) = 42*k**3 - 137*k**2 - 17*k + 9991. Let d(i) = -r(i) - 17*t(i). Find the first derivative of d(q) wrt q.
-75*q**2 + 36*q
What is the second derivative of -1392*x - 133 + 2045*x**4 - 137 + 272 wrt x?
24540*x**2
What is the third derivative of -1432*l**2 - 2 + 2 - 1346*l**2 - 1040*l**3 + 0 wrt l?
-6240
Let h = -46 - 10. Let w = h - -58. What is the third derivative of -6*l**3 + 20*l**w - 33*l**3 + 7*l**3 wrt l?
-192
Let x = 23 + -9. Let s be (-20)/12*(-13 - (-6 - 4)). What is the second derivative of 12*i**5 - 5*i - x*i**s + 8*i**5 wrt i?
120*i**3
Let d(p) = p**2 - 12*p + 37. Let j be d(14). What is the third derivative of -3*c**2 + 134 - 2*c**6 - 134 - j*c**5 wrt c?
-240*c**3 - 3900*c**2
What is the second derivative of -56611*h**2 - 1 + 881*h + 7*h**3 + 56382*h**2 + 293*h wrt h?
42*h - 458
Let h(y) = -3*y**2 - 5*y + 2. Let m be h(2). Let f = -15 - m. Find the second derivative of -17*a**f - 10*a + 12*a**5 + 2*a wrt a.
-100*a**3
Let b be (-10)/((-70)/3) + 33/21. Find the second derivative of -319*s**b - 188 + 63*s - 327*s - 189 + 377 wrt s.
-638
Let h(l) = 410*l**2 + 71*l + 3. Let f(k) = 826*k**2 + 142*k + 6. Let w(a) = 2*f(a) - 5*h(a). What is the second derivative of w(c) wrt c?
-796
Let o = 13 - -17. Suppose -270 = -33*i + o*i. What is the first derivative of -48 + i - 8*l**4 - 49 - 24*l**4 wrt l?
-128*l**3
Let a(g) be the second derivative of 209*g**8/28 - g**4/12 + 67*g**3 - 2*g + 358. What is the third derivative of a(x) wrt x?
50160*x**3
Let i be 3 + (114/(-2))/3. Let r = 22 + i. Differentiate 15*h**3 - 3 - 13 + r - 2 wrt h.
45*h**2
Let v(t) be the first derivative of -13/2*t**2 - 3/4*t**4 - 5/3*t**3 - 25 + 0*t. Find the second derivative of v(a) wrt a.
-18*a - 10
Let m(f) = -3*f**3 - 4195*f**2 - 99*f - 123. Let l(j) = -j**3 - 1398*j**2 - 33*j - 40. Let x(b) = 10*l(b) - 3*m(b). What is the second derivative of x(a) wrt a?
-6*a - 2790
Let h = 4658 - 4655. Let t(p) be the second derivative of 0*p**h - 21/20*p**5 + 0*p**4 + 0 - 2*p**2 - 3*p. What is the first derivative of t(s) wrt s?
-63*s**2
Let i(c) be the first derivative of 18*c**5/5 - 2*c**4 - c**3/3 + c**2/2 - 6028*c - 731. Find the second derivative of i(z) wrt z.
216*z**2 - 48*z - 2
Let s(c) be the third derivative of -c**6/60 + 347*c**5/20 + 2225*c**4/24 - 2210*c**2. What is the second derivative of s(h) wrt h?
-12*h + 2082
Let o = 1233/98 + -53/49. Let m(k) be the first derivative of -26 + 0*k**3 + 0*k - o*k**2 - | {
"pile_set_name": "DM Mathematics"
} |
t y(x) = 3*x**2. Calculate y(t(r)).
27*r**4 + 90*r**3 + 75*r**2
Let r(g) = -3 + 1 + 11*g**2 - 7*g**2 + 2*g + g**3 - 8*g**2. Let x be r(4). Let b(s) = 2 + 3 - 5 - x*s. Let f(t) = t. What is b(f(j))?
-6*j
Let m(t) = -1 + 1 + 2*t**2. Let v(s) be the first derivative of -s**6/120 - 2*s**3 + 9. Let l(u) be the third derivative of v(u). Give m(l(b)).
18*b**4
Let b(r) = r. Let l(n) = -15*n + 3. Let v be ((-15)/3)/(2/8). Let y(f) = 44*f - 10. Let d(m) = v*l(m) - 6*y(m). Calculate d(b(g)).
36*g
Let m = 4 + -1. Let b(q) = 4 - 4 + m - q + 1. Let t(o) = -1. Let u(g) = 5*b(g) + 20*t(g). Let d(s) = s**2. Give u(d(h)).
-5*h**2
Let r(c) = 2*c. Let n(i) = i. Let t(m) = -7*n(m) + 4*r(m). Let l(s) be the first derivative of -4/3*s**3 + 9 + 0*s**2 + 0*s. Determine l(t(k)).
-4*k**2
Let o(f) = 9*f**2. Let n(i) = -i**2 + i - 2800. Calculate n(o(b)).
-81*b**4 + 9*b**2 - 2800
Let y(g) = 4*g. Let q(p) = -44*p**2 + 23*p. Calculate y(q(z)).
-176*z**2 + 92*z
Let b(g) = -52*g**2 + 3*g. Let m(c) = -17*c + 64. Let d(s) = 2*s - 8. Let l(k) = 24*d(k) + 3*m(k). Calculate b(l(z)).
-468*z**2 - 9*z
Let d(s) = 4101*s. Let v(f) = -5*f - 2. What is d(v(t))?
-20505*t - 8202
Let d(k) = -k**2 - 65. Let p(g) = 11*g**2. Determine d(p(y)).
-121*y**4 - 65
Let k(u) = -40080*u. Let x(n) = -11*n**2 - n. Give k(x(j)).
440880*j**2 + 40080*j
Suppose y - 2 = 0, 0 = -2*q - 2*q - y + 10. Let j(x) = x**2 + 5*x**2 + x**q. Let l(f) be the third derivative of f**5/30 - 3*f**2 + 16*f. Determine j(l(a)).
28*a**4
Let z(a) = -14*a**2 + 30*a. Let m(p) = -998*p**2. Determine z(m(s)).
-13944056*s**4 - 29940*s**2
Let n(y) = 5 - 2*y + 0 - 2 - 3. Let p(w) = -3*w. Calculate n(p(a)).
6*a
Let x(f) = -f**2. Let k(a) be the first derivative of 0*a - 1/120*a**5 + 2 + 0*a**2 - a**3 + 0*a**4. Let w(b) be the third derivative of k(b). What is x(w(p))?
-p**2
Let l(v) = -12*v**2 + 178365. Let w(y) = -y. Calculate w(l(o)).
12*o**2 - 178365
Let f(l) = -5*l + 3. Let p(y) = 11*y - 7. Let z(n) = -13*f(n) - 6*p(n). Let w(h) = -1. Let m(b) = 6*w(b) + 2*z(b). Let t(q) = -2*q. Determine t(m(s)).
4*s
Let o(j) = -2*j + 446. Let y(q) = 30*q**2. Determine o(y(w)).
-60*w**2 + 446
Let y(c) = -3*c. Let t(k) be the second derivative of -k**4/4 - k**3/3 + k**2 - k. Let g(b) = 12*b**2 + 9*b - 9. Let m(w) = -2*g(w) - 9*t(w). What is y(m(j))?
-9*j**2
Let p(w) = w + 3. Let g(f) = 5*f**2 - 3*f - 3. Let r(x) = -11*x**2 + 7*x + 7. Let v(k) = 7*g(k) + 3*r(k). Calculate p(v(n)).
2*n**2 + 3
Let q(j) = 15*j**2. Let u(p) = -2*p**2 - 952. Calculate u(q(d)).
-450*d**4 - 952
Let h(x) = 358*x. Let i(a) = 95*a. Let j(z) = -16*z. Let w(k) = i(k) + 6*j(k). Give w(h(c)).
-358*c
Let h(k) = -12*k**2. Let m(x) = 715*x + 4. Give h(m(i)).
-6134700*i**2 - 68640*i - 192
Let t(k) = -k. Let s(j) = 2*j + 36. Let f be s(-17). Let l(x) = -11*x**2 - 2 + 5*x**f + 2. What is t(l(n))?
6*n**2
Let n(l) = 2*l**2. Let i(p) be the second derivative of -8*p**4/3 - 3*p**2/2 - 3*p + 69. Determine i(n(r)).
-128*r**4 - 3
Let u = 64 - 54. Let l(n) = -18*n + 7*n + u*n. Let a(w) = -7*w**2. Determine l(a(m)).
7*m**2
Let j(g) = 4833*g. Let f(q) = 2*q. Give j(f(r)).
9666*r
Let z(l) = -l**2 - 1915*l - 1. Let p(v) = -6*v. Give p(z(y)).
6*y**2 + 11490*y + 6
Let a(w) be the second derivative of w**4/6 + 6*w. Let u(j) = -10*j**2 + 100*j. Let x(y) = -2*y. Let z(k) = 2*u(k) + 100*x(k). Give z(a(b)).
-80*b**4
Let p(q) = 5*q**2. Let s(z) = 3693*z**2. Determine s(p(o)).
92325*o**4
Let k(o) = -14*o. Let i(t) = -2*t - 7. Suppose -v = 5, 4*x - 3*x + v = -8. Let q(n) = n + 3. Let u(w) = x*i(w) - 7*q(w). What is u(k(d))?
14*d
Let r(h) = 3*h. Let g(u) = -43848*u. Give r(g(m)).
-131544*m
Let a(x) = 195*x**2. Let g(r) = 187*r**2. Determine a(g(t)).
6818955*t**4
Let n(b) = -17*b**2 - 9. Let u(y) = 7*y + 68. Let i be u(-10). Let q(t) = 4*t**2 + 2. Let d(a) = i*n(a) - 9*q(a). Let g(k) = -2*k**2 + 5*k. Give g(d(x)).
-8*x**4 - 10*x**2
Let z(s) = -s**2 - 22. Let y(r) = 401*r. Give y(z(h)).
-401*h**2 - 8822
Let r(k) be the first derivative of 12 - 4*k**3 - 4 + k**3 + 4*k**3. Let d(s) = 0*s**2 + 4*s**2 - s**2. Give d(r(h)).
27*h**4
Let q(h) = 41*h - 189. Let s(d) = d**2. Determine s(q(g)).
1681*g**2 - 15498*g + 35721
Let r(o) = -13*o**2 + 1. Let f(x) = 52*x. What is f(r(s))?
-676*s**2 + 52
Let t(b) = -3*b. Let k(z) = -185*z**2. Let r(v) = -62*v**2. Let j(d) = 3*k(d) - 10*r(d). What is j(t(f))?
585*f**2
Let c(x) = 24*x + 33. Let q be (-22)/(-3)*153/34. Let s(t) = -3*t - 4. Let d(h) = q*s(h) + 4*c(h). Let o(k) = 8*k. Determine d(o(z)).
-24*z
Let u(k) = 0*k**2 + 222*k + k**2 - 222*k. Let p(j) = 34*j + 5. Determine p(u(a)).
34*a**2 + 5
Let x(p) = -4*p**2. Let m(j) be the third derivative of -j**7/1260 - j**4/3 + 7*j**2. Let f(d) be the second derivative of m(d). Give x(f(k)).
-16*k**4
Let r(b) = -b**2 - 4*b + 4*b. Let c(i) be the third derivative of -i**5/6 + i**2 - 331*i. Determine c(r(t)).
-10*t**4
Suppose 7*y - 33 = -12. Let b(t) = -2*t**2 + t**2 + y*t**2. Let v(i) = 2*i**2. Calculate v(b(f)).
8*f**4
Let o(g) = 0 + 0 - 3*g. Let h(q) be the third derivative of -q**8/10080 - q**5/2 + 33*q**2. Let z(b) be the third derivative of h(b). Give o(z(a)).
6*a**2
Let x(b) = -5*b**2. Let r(m) = 21*m. Let f(a) = -7*a. Suppose 5*k - 3*c - 4 = -32, 2*k = -3*c - 28. Let u(t) = k*f(t) - 3*r(t). Determine x(u(w)).
-245*w**2
Suppose 4*i = -5*f + 4*f + 16, -3*f = 12. Let x(o) = 43 - 7*o + i*o + o. Let l(m) = -m. Give l(x(t)).
t - 43
Let n(s) = 13*s. Let l(c) be the second derivative of -c**7/840 + 17*c**4/6 + 35*c. Let o(q) be the third derivative of l(q). Give o(n(g)).
-507*g**2
Let f(y) = 3517*y - 93*y**2 - 3517*y. Let m(s) = 2*s. Determine f(m(l)).
-372*l**2
Let g(x) = -241*x - 1. Let u(v) = -2*v + 37. What is g(u(t))?
482*t - 8918
Let v(n) = 10*n**2. Let b(d) = -750*d + 19. What is b(v(g))?
-7500*g**2 + 19
Let d(x) be the second derivative of -x**4/2 - x. Let p(j) = 0*j**2 - 4*j**2 + j**2 + 3*j**2 - 5*j**2. Determine d(p(f)).
-150*f**4
Let j(w) = -158*w. Let d(a) = 19*a**2 + 4*a - 2. Let g(u) = 85*u**2 + 18*u - 9. Let r(z) = -9*d(z) + 2*g(z). Give r(j(t)).
-24964*t**2
Let z(v) = 2*v**2. Let n(x) = 12*x**2 - 27. Let d = 17 - 8. Let f be (-39)/(-15) - d/15. Let k(g) = g**2 - 2. Let q(o) = f*n(o) - 27*k(o). Determine q(z(t)).
-12*t**4
Let o(l) = -7*l**2. Let v(a) = 43*a + 118. Give o(v(w)).
-12943*w**2 - 71036*w - 97468
Let n(m) = -28 - 25 + 75 - 22 + 5*m. Let g(z) = 110*z. Calculate n(g(s)).
550*s
Let j(o) = 69*o. Let n(f) = -32*f**2. Let a(y) = -13*y**2. Let x(g) = -5*a(g) + 2*n(g). Calculate x(j(t)).
4761*t**2
Let n(g) = -69*g**2 + 6*g + 5. Let d(a) = -34*a**2 + 4*a + 3. Let j(h) = -5*d(h) + 3*n(h). Let v(p) = 2*p. Calculate j(v(s)).
-148*s**2 - 4*s
Let l(g) = 2*g**2. Let w(o) = -2*o + 6897. Determine w(l(c)).
-4*c**2 + 6897
Let g(u) be the third derivative of -11*u**4/24 + 2*u**2 - 10. Let x(f) = -23*f + 21*f - 1 + 1. Let l(a) = -2*a. Let i(d) = -4*l(d) + 5*x(d). What is g(i(m))?
22*m
Let t(f) = -45*f**2 - 1. Let b(a) = 2*a - 11. Let r(l) = l - 6. Let i(z) = 6*b(z) - 11*r(z). What is i(t(j))?
-45*j**2 - 1
Let a(p) = 4*p - 2*p - p. Let b(f) = 12*f**2 - 8*f**2 + 28*f**2. Give a(b(o)).
32*o**2
Suppose -v + 40 = 28. Let o = v + -4. Let w(s) = -3*s**2 + o*s**2 - 2*s**2 + 2*s**2. Let j(i) = -i**2. Give j(w(u)).
-25*u**4
Let q(i) = -124*i + 67. Let w(b) = -12*b**2. Determine q(w(c)).
1488*c**2 + 67
Let v(y) = -8 - 1 + 1 + 4. Let x(q) = q + 6. Let b(t) = 3*v(t) + 2*x(t). Let j(s) = -13*s**2 + s - s. Determine b(j(o)).
-26*o**2
Let v(y) = y + 0*y - 2*y - 3*y. Let c(w) be the second derivative of w**4/6 - 2*w - 5. What is v(c(g))?
-8*g**2
Let j(w) = 16*w**2. Let z(t) = 3*t**2. Let s = 20 + -9. Let d(k) = s*z(k) - 2*j(k). Let g(m) = -14*m. Calculate d(g(i)).
196*i**2
Let f(n) = 139*n. Let o(z) = 93*z. Let u(q) = -2*f(q) + 3*o(q). Let t(i) be the first derivative of 17*i**3/3 + i**2 + 1. Calculate u(t(k)).
17*k**2 + 2*k
Let i(y) = -15*y. Let r(z) = -71283*z**2. Determine i(r(c)).
1069245*c**2
Let r(p) = 2*p**2 + 8*p**2 - 8*p**2. Let i(h) = 5*h**2. Determine i(r(x)).
20*x**4
Let j = 27 + -17. Let u(x) = -x + j - 10. Let i(f) = -11*f**2. Calculate i(u(k)).
-11*k**2
Let d(l) = -184*l. Let x(y) = -3399*y - 3394*y + 6797*y. Give x(d(r)).
-736*r
Let s(d) be the second derivative of -5*d**3/6 - d. Let q(i) = 392*i**2 - 1 - 397*i**2 + 1. Determine | {
"pile_set_name": "DM Mathematics"
} |
4 = -2*q for q.
4
Suppose -3*c - 75 = -3*n, 3*c - 3*n = c - 49. Let v = -22 - c. Solve 0 = -3*q + 5*u - 17, -v*q + 3*u = -5*q + 13 for q.
1
Let f(n) = -n. Let u be f(-4). Let h be (4/8)/(1/u). Let t be 3 + 1 + (-3 - -2). Solve -s = 4*d + 11, -h*s + 4*d = t*s - 41 for s.
5
Suppose 9 = 4*n - n. Suppose 9 = 2*y + n. Let q = 4 + 1. Solve b = 2*j + y, -3*b + 4*j + q = -0*b for b.
-1
Let l(o) = -o + 7. Let g be l(5). Suppose 0*v = g*v - 2. Let j = v - -3. Solve -16 = -3*d - 4*b, 4 = 2*d - j*b - 0*b for d.
4
Let q(b) = 32*b + 230. Let j be q(-7). Solve y + 3*a = -7, -a = j*y - 2*y + 6 for y.
-1
Let a(j) = -13*j + 0*j**2 + 333 - 351 - j**2. Let p be a(-11). Solve 3*g - 1 = -p*k, 3*g = -0*k - 2*k - 1 for g.
-1
Let r = 9 - 35. Let b = 29 + r. Solve 6 = -3*k, 19 = -b*d - k - k for d.
-5
Let w = -194 - -197. Let r = 5 + -1. Suppose 6*n - r = 4*n. Solve -n*t - 9 = -3*k, 3*k - 6*k = w*t + 6 for k.
1
Suppose -o - 20 = 5*w, 0*w - 20 = 5*w. Solve k + 3 = o, -2*d + 2*k + 18 = d for d.
4
Suppose -5*r + 50 = -5*z, 3*r - 5*z = 4*r + 20. Let w be (-8)/(-6)*(0 + -6). Let f = r - w. Solve -2*v + t + 2*t - f = 0, -4*v - 1 = -t for v.
1
Suppose -g - 2*g = 4*v - 6, 4*v + 4*g = 4. Let n be 4/(v - -1)*9. Solve 3*w + n = -3*l, -l = 4*l - 3*w - 25 for l.
2
Let w be 5/((0 - 5)/(-5)). Solve -5*z = 4*d - 20, w*d - 25 = -5*z + 2*z for z.
0
Let n(s) = s - 2. Let q be n(4). Let b(i) = -2*i - 5*i - 1 + q*i + 4*i. Let l be b(-5). Solve r - 6*r + 1 = -3*z, -r + 14 = l*z for z.
3
Let b be (-3)/12 + 36/144. Solve -3*q - 24 = 2*m - 7*m, b = 2*q - 5*m + 21 for q.
-3
Suppose 8*z + 3896 - 3912 = 0. Let f = -1 - -1. Solve a - 5 = w, f*a - z*a = 0 for w.
-5
Let v(m) = -5*m**3 + 2*m**2 + 7*m + 5. Let x be v(-1). Solve -n - n - 2 = 2*c, -2*c = x*n - 1 for n.
1
Suppose 0 = -y + 6 - 3. Solve 4*g + v - y*v - 12 = 0, 2 = g - v for g.
4
Let n be (1 - -2 - 4)*-1. Suppose -3*p + n + 11 = 0. Suppose -18 - 1 = -4*v - g, 5*v = 3*g + 28. Solve -v*z - 2 = -4*l + 3, 3*z - p*l + 3 = 0 for z.
-1
Let h be 4/14 - 1/((-21)/162). Suppose -a = -5*a - 4. Let b = a + h. Solve 3*t = -m, -3*m - 4*t + 2*t = b for m.
-3
Suppose -3 = 7*x - 31. Solve w - r = -5*r, 5*w - x*r + 24 = 0 for w.
-4
Let x = -165 - -169. Solve 2*j - 25 = -3*d - 2*d, 0 = -x*j for d.
5
Let b = 1387 + -1384. Suppose 4*j + 2*d = 0, -j + 2*d = 3*j. Solve -f + 0 + 3 = b*u, 5*u - f - 5 = j for u.
1
Let q = 0 - -5. Suppose -q*n + 37 = 12. Solve -5*u + 56 - 23 = -4*y, 0 = -u - n*y - 5 for u.
5
Let n(y) = -y**2 - 6*y + 4. Let d be n(-6). Solve -d*g = -0*g + 5*w - 37, 4*g - w = 7 for g.
3
Let g(c) = 2*c**2 - 20. Let a be g(-4). Suppose a = 6*b + 12. Solve k + k + 3*q - 10 = 0, b = k + 2*q - 5 for k.
5
Let s = 1015 + -1013. Let k be 2/(-6) - 26/(-6). Solve 4*o + q - k = 0, -12 = 5*o - q - s*q for o.
0
Let h(c) = c**3 - 2*c**2 + c - 1. Let k be h(0). Let w be (5 - 6)*k*(2 + 1). Solve -p - w = -a - 0*p, 4*p = 0 for a.
3
Let n be (-4)/10 - 44/(-10). Suppose 3*j = 2*o - 8 - 2, 0 = 4*j + n*o - 20. Suppose j = a + 3 - 6. Solve 4*t = -k - 22, -4*t - a*k - 18 = -4*k for t.
-5
Suppose -18 = 5*p - 148. Solve 5*t + 2*k - k - p = 0, 2*t = -k + 11 for t.
5
Suppose 8*k = 2*k + 12. Solve -5*w = -5*n, k - 6 = -4*w for n.
1
Suppose -7 = 5*s - 3*i + 6, -s - 5*i - 25 = 0. Let o = 8 + s. Let a(v) = -64*v + 642. Let x be a(10). Solve -d - 3*q + 2 = 0, q - 2 = -x*d - o for d.
-1
Suppose 4*d - 2*k + 7*k = -15, 15 = 3*d - 5*k. Let w(s) = -8*s + 24. Let p be w(3). Solve 5*l + p*g + 16 = 3*g, 3*l + 3*g = d for l.
-2
Let k(z) = 2*z + 2. Suppose -r = r - 2. Suppose 3 = 2*s - 3*t, s + 2*t + 1 = -r. Let p be k(s). Solve o + 2 = b - 1, -b = p*o + 6 for o.
-3
Suppose 5*d = 5, -7*o - d = -3*o - 5. Let t(p) = 8*p - 7. Let h be t(o). Solve -20 = 4*q, -7 + h = 3*x + 3*q for x.
3
Suppose 2*p - 4*b = -12, 0 = -3*p + 12*b - 10*b - 6. Solve p*a + 17 = m - 3*a, 3*a = -m - 13 for m.
2
Let p = 16 + -8. Let h(y) = y**2 - 5*y + 6. Let c be h(3). Suppose p = m - c. Solve -m = -3*o - 2*x + 4, -4*o - 4*x = -16 for o.
4
Let a = -1 + 6. Suppose -p + 36 + 7 = -a*u, 5*u - 5*p = -55. Let n be (-15)/10*u/3. Solve 3*z + 5*k = -0*z - 13, -8 = n*z + 2*k for z.
-1
Let u = -478 - -480. Solve z - 19 = 3*g + 3*z, u*g + 2 = 4*z for g.
-5
Let a(o) = -o**3 + 4*o**2 + 5*o + 4. Let n(c) = 0 + c - 2*c + 2. Let k be n(4). Let x be a(k). Solve t = -2*t - 3*l - x, -l + 2 = -3*t for t.
-2
Let b = 57 + -37. Suppose 9*t - 7*t = b. Let v be (224/(-70))/((-4)/t). Solve -g - s + v = 0, 2*g + 5*s = 4*g + 19 for g.
3
Let r be (-8)/((-1)/7 - 48/(-140)). Let g = -36 - r. Solve -g*p - b = 20, -3 = p - 4*b + 2 for p.
-5
Let j be ((-20)/6)/((-2)/3). Let m(a) = 3*a**2 - 162*a + 1. Let u be m(54). Solve i + 3 = -j*v, i + v - u = -0*i for i.
2
Let c be (-2)/10 - 174/30. Let a = c + 9. Let k = 11 + -8. Solve -a*y + 21 = -k*q, 3*y - 5*q + 4 - 33 = 0 for y.
3
Let f = -18 + 30. Let w be (-38)/(-2) + f/6. Solve -14 = 4*y + 3*z + 2, y + w = -5*z for y.
-1
Suppose 0 = -4*o + 7 + 25. Let q(s) = -s**2 + 10*s - 12. Let u be q(o). Solve v - 8 = -t, 3*v = -2*t - u + 24 for v.
4
Let p(a) = a - 4. Let z be p(6). Let d = -20 + 13. Let x be (d - -5)/((-1)/2). Solve 0 = -z*i + x*s - 8, 3*s - 4 = i - 0 for i.
-4
Let o = -6 - -8. Let m = 97 - 95. Let g = o + m. Solve -5*l - 7 = 3, -2*l - 16 = g*p for p.
-3
Let z(t) = -t**3 - 2*t**2 - t. Let h be z(-1). Let u(j) = -6 - 5 + 9*j - j**2 - j. Let w be u(5). Solve w*p + 4*a + 12 = 0, h*a = -3*p + a + 3 for p.
0
Suppose 1 + 11 = -g - 4*z, 2*g + 2*z + 12 = 0. Let t be (-27)/(-3) + g - 2. Solve 2*n = -t*b + 10 + 4, 2 = 3*b - n for b.
2
Let v(z) be the first derivative of 2*z**3/3 - 5*z**2 + 3*z - 1. Let n be v(5). Solve -2*m - k = -7, m - k + 1 = -n for m.
1
Let q(k) = k**2 - 34*k + 81. Let d be q(33). Let f = -1 + 4. Suppose d = f*b + 18. Solve -2*t = 3*t + 4*y - 14, 3*t - b = -4*y for t.
2
Suppose 0 = 2*o, -2*o + 7*o + 44 = 4*s. Solve 2*p + 0*p - s = -k, -4*p = 3*k - 27 for k.
5
Let d be 145/(-87)*(-3)/1. Solve 3*j - 3 = -2*s + 2, 0 = 5*s + d*j for s.
-5
Suppose 2*v = -m + 10, -3*m - 4*v = -5*v + 5. Solve j = 4*l - 18, l + 2 = -3*j - m for l.
4
Suppose -5*z + 15 = -3*d, 3*z = 3*d + z + 6. Suppose d = -8*r + 2*r. Solve -f - b - b - 2 = 0, r = 3*b for f.
-2
Let k be (-7 + (-486)/(-63))*7. Let y be 1*1/(3/30). Suppose 4*n + n = y. Solve 0 = 2*r + f - 5, -k*f + 2*f - 9 = -n*r for r.
3
Suppose 3*f = 9 - 3. Let k = f - -17. Suppose -4*m + p = -9 - 5, -k = -3*m + 5*p. Solve 3*l - 2*z + m + 20 = 0, 2*z + 12 = -4*l for l.
-5
Suppose -2*q + 3 = -1. Suppose -11 = -4*f + 3*w - 4*w, -q*f + 2*w + 8 = 0. Suppose -4*s + 11 = -5*x + 57, -2*s = x + 2. Solve r = 5*c + 10, f*r + c = x*c for r.
-5
Let p = 2 + -2. Suppose -8 = -2*w + 14. Solve p = h + 2*k - w, 0*h - 2*h - 2*k + 14 = 0 for h.
3
Let w(x) = -x + 13. Let y be w(11). Suppose 2*i - 5*s = -45, 5*i - 3*s + 32 + 33 = 0. Let r be (i + 1)*(-4)/12. Solve 0*f + r*f + y*m + 20 = 0, f - m = 0 for f.
-4
Suppose 0 = -2*t + z - 5 + 25, 52 = 3*t + 4*z. Let k be 3/(t/(-2))*0. Suppose -5*l - 5 + 15 = 0. Solve k = l*y - 2, -f + 0*f = -y for f.
1
Let v be 2/((-4)/(-1)) + 18/12. Solve -2 = -v*g - x, x + 8 = 3*g - 5 for g.
3
Suppose 3*j - 25 - 35 = b, -3*b = 9. Suppose -7 = 3*g - j. Solve g = 4*f - 5*l - 7, 0 = f + l - 5 for f.
4
Let u be ((-3)/(-3))/(3/9). Suppose 0 = 2*c + 8, -5*f + u*c = -17. Solve v + f = -2*j - 8, -5*v + 11 = -4*j for j.
-4
Suppose 0 = -p + 2*f + 4 + 1, f = 0. Solve -2*h = -p*b - 6*h - 26, -b + h + 2 = 0 for b.
-2
Let v be 7/14*-10 - -9. Suppose 0 = v*h - 4*h + 4*h. Let b be ((-3)/(-4))/(-1)*-4. Solve -y + m - 3*m = b, 3*y + 5*m + 10 = h for y.
-5
Suppose -19 + 39 = 5*h. Solve -h*a + 2 = 2*n, 1 = -3*a + 2*n - n for a.
0
Suppose -4*n - b - 2*b + 35 = 0, 3*n - b - 36 = 0. Solve -33 = 5*w - 4*j, -3*w - n*j - 13 = -10*j for w.
-5
Let h(o) = -2*o**2 - 20*o - 24. Let n be h(-8). Solve 4*j = 4*f + 4, -2*f = 4*j - 0*f + n for j.
-1
Let d = 0 + 2. Suppose -1 = -g + d. Solve 24 = 5*q + r, -4*r - 1 = g for q.
5
Suppose -4*j = -3*j - 15. Let b be (j/(-4))/((-3)/12). Let s be 3*(-4)/(-3 - 1). Solve 0 = h - 2*c - 9, -s*h + b = -c - c for h.
3
Let p = 97 + -87. Solve x + x = -2*t + p, -4*x + 5 = -t for t.
3
Let z(h) = 3*h - 20. Let l be z(7). Suppose 3*d + 15 = 3*w, l = -w + d - 2*d. Solve w*x - 5*t + 16 + 12 = 0, -3*x - 20 = -2*t for x.
-4
Let m(t) = 8*t - 16. Let o be m(3). Let u( | {
"pile_set_name": "DM Mathematics"
} |
is the hundreds digit of 3/((-6)/4) - (-520 + -78)?
5
Let d be ((-303)/12)/((-2)/(-16)). Let m = d + 412. What is the hundreds digit of m?
2
Suppose -2*k + 121 = 95. What is the units digit of k?
3
Let i = 337 - 71. What is the hundreds digit of i?
2
Suppose 21 = f + 3*w, 4*w - 9 = -5*f + 41. Suppose -f = 4*k - 5*k + 2*y, -5*y + 3 = 2*k. Suppose -k*v + 29 = -3*v. What is the units digit of v?
9
Suppose -947 = 13*s - 9735. What is the units digit of s?
6
Let y be (16/8)/(1/(-2)). What is the tens digit of -4 + 77 - y/2?
7
Let d(g) = 35*g - 6. What is the thousands digit of d(31)?
1
Let i = 5 - 3. Suppose 0 = 3*c + 4*v - 3*v - 8, -5*c + i*v + 28 = 0. Suppose l + 5 = -0*l - c*f, l + f = 7. What is the tens digit of l?
1
Suppose -5*q - 5*s = -0*q + 5, -2*q + s = 11. Let d(r) = 7*r**2 - 2*r + 5. What is the hundreds digit of d(q)?
1
Suppose m + 5*z = 2359, -m = z + 2*z - 2363. What is the hundreds digit of m?
3
Let x(w) = -w + 23. Let j be x(24). What is the units digit of (7/(-2) + j)*(-48)/36?
6
What is the hundreds digit of 288/(-12)*(1 + (-111)/12)?
1
Suppose -1849 = -3*i + k, -i + 4*k + 607 = -k. What is the units digit of i?
7
Suppose -1963 = -8*k + 981. What is the hundreds digit of k?
3
Let m(f) = -25*f - 14. Let z be m(-7). Suppose 85 + z = 6*o. What is the units digit of o?
1
Suppose -569 = -d - 2*h, -2350 - 463 = -5*d - 2*h. What is the units digit of d?
1
Let x = 45 - 43. Suppose 5*i + 141 = x*n, -4*i + 119 = 4*n - 233. What is the units digit of n?
3
Let q = 368 - 237. Let f(c) = -2*c**2 - 49*c + 27. Let o be f(-24). Let s = q - o. What is the tens digit of s?
8
Suppose -4*w - 4*s = -3*s + 20, -12 = 3*s. What is the units digit of 45 + (w - -4) - 1?
4
Let j(v) = v**3 + 12*v**2 - 17*v - 62. What is the hundreds digit of j(-9)?
3
Let t be ((-10)/4)/((-25)/20). Suppose 0 = k + t*k - 5*i - 503, 0 = -2*k + 4*i + 336. What is the hundreds digit of k?
1
Let q(x) = 3*x + 63. Let j be q(15). Suppose 2*r = -5*v - 375, 3*r - 4 = 11. Let u = j + v. What is the units digit of u?
1
Let p = 2069 - 1148. What is the units digit of p?
1
Let l = 10 - 2. Suppose 8*i = -3*z + 3*i - 28, -i = z + l. Let c = z + 11. What is the units digit of c?
5
Suppose 0 = -0*s + 6*s - 18. Suppose -s*t + 209 = 4*q, 71 = 5*q - t - 176. What is the units digit of q?
0
What is the units digit of 2 - -442 - (20 - 17)?
1
What is the hundreds digit of (-7576)/(-3) + (312/(-18))/13?
5
Let l = -2886 + 312. What is the hundreds digit of l/(-24) - 5/4?
1
Let l be 1*1/(1/21). Let o = -155 - -153. Let y = l - o. What is the tens digit of y?
2
Suppose -7*s + 2418 = -4260. What is the hundreds digit of s?
9
Suppose -7*n + 0*n + 2*n = 0. Suppose -4*j + 0*p = 4*p - 100, 2*j - 3*p - 25 = n. What is the tens digit of j?
2
Suppose -2*v = -6, 2*w + 5*v + 0*v = 15. Let g = w - -41. What is the units digit of g?
1
Suppose 3*r + 2859 = 3*q, 123*q - 121*q + 5*r = 1878. What is the tens digit of q?
4
Let y be (-9)/(-15) - (-1359)/(-15). Let g = y + 133. What is the units digit of g?
3
Let i be 1182/(-8) - 7/28. What is the units digit of ((-3)/(-6))/((-2)/i)?
7
Suppose 2*i - 4*q - 139 = 339, 0 = 5*i + 2*q - 1231. Suppose -10*o + i = -5. What is the tens digit of o?
2
What is the thousands digit of (-2*2)/(156/(-42783))?
1
What is the tens digit of 3/(-12) + 7362/8?
2
Let o(v) be the first derivative of -7*v**5/60 + v**4/6 - v**3/3 - 4. Let d(k) be the third derivative of o(k). What is the units digit of d(-2)?
2
Suppose 0*y - 2*r - 295 = 5*y, 0 = -2*y + 5*r - 118. Let b = 114 + y. What is the units digit of b?
5
Let m(o) be the third derivative of -2*o**4 + 7*o**3/3 - 8*o**2. What is the hundreds digit of m(-3)?
1
What is the hundreds digit of 0 + (11 - 7)/(2/77)?
1
Let c(q) = -4*q - 6. Let v be c(-3). Suppose 125 = -v*w + 437. What is the tens digit of w?
5
What is the units digit of ((-20)/(-70))/(4/5572)?
8
Suppose 0 = s + 12*s - 15665. What is the units digit of s?
5
Let l = 130 - 59. Let o = l - 57. What is the tens digit of o?
1
Let f(n) = n**2 + 5*n + 32. Suppose 0*k + 40 = 4*k. What is the hundreds digit of f(k)?
1
Let d(t) = 13*t - 8 - 21 - 9*t**2 + 15 - t**3. What is the units digit of d(-11)?
5
Let p(h) = -h**3 + 18*h**2 + 24*h - 48. What is the hundreds digit of p(16)?
8
Let p(g) = g**2 + 15*g. Let f = 0 - 15. Let s be p(f). Suppose s*j + 22 = j. What is the tens digit of j?
2
Let w(y) = y - 4. Let o be w(-11). What is the tens digit of -11*2*(o - -13)?
4
Let d = -14 - -318. What is the tens digit of d?
0
Let k(a) be the second derivative of 13*a**3/3 + 3*a**2/2 + 6*a. Let d be k(1). Let i = d - 21. What is the units digit of i?
8
Suppose -g = -4*x + 4*g + 589, -2*g = 5*x - 728. What is the units digit of x?
6
Let w(o) = -13*o**3 + 2*o**2 + 3*o. Let t be w(-2). Suppose 134 = 4*s - t. What is the tens digit of s?
6
Let i = 33 + -12. Let z = -72 + 59. Let f = z + i. What is the units digit of f?
8
Suppose -28*q - 363 = -9967. What is the tens digit of q?
4
Let p(t) = t**2 + 2*t - 3. Let x be p(-9). Let g be (x/8)/((-1)/(-14)). Let d = g - 64. What is the units digit of d?
1
Suppose 0 = -26*c + 22*c - 8. Let v(w) = -118*w - 20. What is the hundreds digit of v(c)?
2
Let s = -76 - -31. Let w be 30/s*(-1 + -5). Suppose 0 = 2*t + t - 3, -w*t = -4*z + 72. What is the units digit of z?
9
Suppose 4*r = -2 + 22. Suppose 4*x + 87 = 3*v, 0 = -2*x - 0*x + r*v - 61. Let n = -10 - x. What is the units digit of n?
8
Let w = 14 - 5. Let l = w - 4. Suppose 0 = -4*n - 2*u + 30, n = 6*n - l*u - 60. What is the units digit of n?
9
Suppose 9*z - 36 = -3*z. Suppose -2*k + 3*m + 60 = 2*k, -z*k - 3*m = -45. What is the units digit of k?
5
Let t(w) = -6 - 4*w**2 + 0*w**3 + 5*w - 4*w - w**3. Let g be 16/6 + (-69)/9. What is the units digit of t(g)?
4
Let o(x) = 7*x**2 - 14*x + 3. Let u(n) = -7*n**2 + 15*n - 3. Let i(h) = 3*o(h) + 2*u(h). What is the units digit of i(5)?
8
Let f = 2 + -5. What is the tens digit of (f - -11)/(8/52)?
5
Let m = -15 + 18. Suppose -u + 0*u - m = 0, -3*z - 4*u = -66. What is the units digit of z?
6
Let t be 116/10 + 16/40. Let d be 1 + 6*4/t. Suppose -d*f + 4 = -2*f. What is the units digit of f?
4
Let q be (7 + -10)/((-1)/91). Let h be (-291)/2*16/12. Let w = h + q. What is the units digit of w?
9
Suppose -v - 7 = 3*l, 5*v + l - 21 = -0*l. Suppose 5*j = -v*j + 1570. What is the tens digit of j?
5
Suppose -4*d - 4270 = -7*z + 2*z, 2*z - 1721 = -d. What is the units digit of z?
8
Let t(g) = g**2 - 1. Let p(s) be the second derivative of s**4/12 - 7*s**3/6 - s**2 - 3*s. Let m(b) = -p(b) + 3*t(b). What is the tens digit of m(-7)?
4
Let y = 129 - 87. What is the units digit of 3184/14 + 18/y*-1?
7
Let y(q) = 6*q - 20 - 15 + 14. What is the tens digit of y(12)?
5
What is the hundreds digit of 2*(-21)/(-112) - (-25972)/32?
8
Suppose 3*k + 5*g = 9, 2*g - 12 = 4*k + 2. What is the units digit of 4*((-1)/k - -1)?
6
Let n(t) = -1276*t - 49. What is the units digit of n(-3)?
9
Suppose 0*q = q - 1. Let m = 2 + q. Suppose 0 = -s - m*s + 56. What is the tens digit of s?
1
Let w be (-1 + -1)/(2/(-2)). Suppose 0 = 2*j - g - w*g - 4, 0 = -5*j + g + 10. Suppose -3*a + j*a + 3*d = -47, -2*a - d + 66 = 0. What is the tens digit of a?
3
Suppose -139 = -c + 52. Let y = c - 138. What is the tens digit of y?
5
Suppose 3*o - 1700 = -2*l - 2*l, 4*o - 3*l - 2275 = 0. What is the units digit of o?
8
Let d(g) = -g**3 - 23*g**2 + 19*g - 18. What is the hundreds digit of d(-24)?
1
Let m = -2 - -14. What is the tens digit of (6/(-4))/(m/(-408))?
5
Let o(s) = 6*s - 38. Let m be o(9). Suppose -21*q = -m*q - 630. What is the units digit of q?
6
What is the units digit of 2239864/528 - 5/(-6)?
3
Let y = 106 + -112. What is the units digit of (-1)/y + (-1705)/(-30)?
7
Let q = -14 - -13. Let a be 1 + -2 - (5 - q). What is the tens digit of 45*1 - (a + 10)?
4
Let x(q) = -6*q + 5. Suppose -8 - 12 = -5*m + z, m + 4*z + 17 = 0. Let y be x(m). Let r = y - -21. What is the units digit of r?
8
Suppose -2 = -3*f + w + 3, 3*f - 5*w + 11 = 0. Suppose -f*y + 49 + 35 = 0. Suppose -4*x + 0*x = -y. What is the units digit of x?
7
What is the tens digit of -4 + 12/2 - -694?
9
Let v = -17 - -22. Suppose 0 = -4*m + n + 65, -n = -m + 22 - v. Suppose 15*x = 11*x + m. What is the units digit of x?
4
Suppose 888 = -11*b + 14*b. What is th | {
"pile_set_name": "DM Mathematics"
} |
r(p) = -p**3 - p**2 + 2*p**2 - 5*p + 3*p**3 + 3*p. What is the smallest common multiple of r(2) and 22?
176
Let n(v) = -v**2 - 3*v + 4. Let z be n(5). Calculate the common denominator of (-1)/(-5)*1290/z and -70/3.
6
Let t = 8 + -4. Let n = -100 + 110. What is the lowest common multiple of t and n?
20
Suppose 0*g + 30 = -4*f - g, 2*f = 3*g - 22. Let i = f + 10. What is the lowest common multiple of 18 and i?
18
Let z = -29 - -57. Calculate the common denominator of 8/11 and z.
11
Let d = 280795/16 + -17556. Let b be (-11510)/(-17268) + (-4)/6. Let w = 79870/47487 + b. Calculate the common denominator of d and w.
176
Suppose -15 = -3*y + 5*i, 5*y - 40 = -i + 13. Find the common denominator of -101/20 and ((-159)/40)/((-12)/y).
80
Let a = 20753/10 - 2073. Let k(g) = 51*g**3 + 1. Find the common denominator of a and k(-1).
10
Let r = 12 + 2. Let d be -1*-1*(-2 + 23). Suppose -2*a + d = 5. Calculate the lowest common multiple of a and r.
56
Calculate the common denominator of 139/12 and 398/(-36) + (-4)/(-18).
12
Let q = -882/5 - -6731/40. Let x = 66427/18 - 3697. Calculate the common denominator of x and q.
72
Let u = 11/293 - 20459/6446. Calculate the common denominator of u and 31/10.
110
Let f = 24329020880432631 - 76344470440474018373/3138. Let d = -929788524 - f. Let c = -2/523 - d. Find the common denominator of -91/8 and c.
24
Let p = 62 + -809/12. Suppose 0*q + 3*q + 5*c = 4, 0 = -q + 2*c - 17. Calculate the common denominator of (-2)/q - (-7)/(-2) and p.
84
Let b = 283225/403899 + -10/4343. What is the common denominator of b and -49/2?
186
Let q = -8/73258833 - -1169528433295/33625804347. Let g = q - 594/17. Let i = 2215/162 - g. Calculate the common denominator of i and 95/6.
6
Let m(r) = 7*r - 3 + 1 + 3*r. Suppose -y - 2*z = z + 10, -20 = 5*z. Calculate the lowest common multiple of 22 and m(y).
198
Let r = -2496/5 - -495. Let n = -4171/668 + -1/167. What is the common denominator of r and n?
20
Let t(y) be the first derivative of -y**3/3 - 5*y**2/2 - 2*y + 2. Suppose -5*i + 5 = -15. What is the lowest common multiple of i and t(-4)?
4
Let g be (-2)/1895*3/6. Let u = g - 70111/7580. What is the common denominator of 50/7 and u?
28
Suppose -5*m = 0, 2*m + 29 + 99 = -4*n. Let c be (-1 + n/10)*-5. Suppose 7 = 2*l - c. Calculate the least common multiple of 8 and l.
56
Let t(b) = -7*b - 9. Let f(k) = 3*k + 4. Let h(s) = -9*f(s) - 4*t(s). Let l be h(-1). What is the least common multiple of 1 and 0 - -13 - (3 + l)?
11
Let v = -761 - -9013/12. What is the common denominator of (-2)/((-144)/(-676)) + 2 and v?
36
Let p = -119 - -125. Calculate the smallest common multiple of 70 and p.
210
Suppose -4*p = 2*i + 148, 4*i - p + 158 = -120. Calculate the common denominator of (-5)/25 + 156/i and (8/(-7))/2*-6.
7
Let b = -10 - -14. Find the common denominator of (-114)/b*4/(-16) and -13.
8
Suppose 2*p - 4*p = -24. Calculate the least common multiple of p and 33.
132
Let d be (9/(-78462))/((-10)/8). Let l = d - 2462863/305130. What is the common denominator of l and -25/18?
126
What is the lowest common multiple of 15/(-20) - 76/(-16) and 7?
28
Let x(t) = -5*t - 54. Calculate the smallest common multiple of x(-11) and 12.
12
What is the common denominator of (-238)/49 - (-2)/4 and -157/30?
210
Let q = 21 + -10. Suppose q = -z + 27. Calculate the smallest common multiple of z and 4.
16
Let m = -99/10 - 117/20. What is the common denominator of m and 107/12 + (2 - 1)?
12
Suppose -w + 2*w - 2 = 0. Let v(o) = 1 + w - 2 + 1 - 2*o. Calculate the lowest common multiple of 4 and v(-6).
28
Suppose -7*j - 7 = -35. What is the least common multiple of 8 and j?
8
Let x(r) = -300*r**3 - 5*r**2 + 3*r - 1. Let w be x(-4). Let t = w + -420427/22. Find the common denominator of t and (-17)/(-2) + (1 - 0).
22
Let q be 4/6 + 2/(-3). Suppose q = -z - 1 + 7. What is the lowest common multiple of z and 6?
6
Let h(t) = 3*t. Let p be h(-1). Let v be ((-166)/(-66))/(p/(-54)). Let q = -3709/88 + v. Calculate the common denominator of q and 22/3.
24
Suppose 2*x + 3 = 11. Suppose x*m - 59 = u, -5*m + 3*u + 76 = 11. Let n = m + -11. What is the lowest common multiple of 9 and n?
45
Let t = 11/420 + 1399/420. Let v = -12 + 5. What is the common denominator of t and (v/2)/(70/(-77))?
140
Let a = 33 + 17. Suppose 0 = 3*v - 8*v + a. What is the lowest common multiple of v and 4?
20
Suppose 5*x - 108 = -x. Calculate the least common multiple of 14 and x.
126
Suppose -2*r = -4*r + 28. Suppose -13 = -2*y - 3. Suppose 3*t - 5*t - 64 = -5*m, 66 = y*m - 3*t. Calculate the least common multiple of r and m.
84
Let o = -2/5573 + 105923/100314. Let q be 27/5*(-421 + 0). Let b = q + 181447/80. What is the common denominator of o and b?
144
Suppose 1 - 2 = o. Let x be (0 - o - 1)/2. What is the smallest common multiple of (3 - (x - 2)) + 0 and 11?
55
Suppose 17*y = 12*y + 5. Let p be -2 + 2 - (-1 + 1). Suppose 0*a - 3*b - 11 = -a, 2*a + 4*b + 8 = p. What is the lowest common multiple of y and a?
2
Let j(g) = -113*g - 7. Let b be j(-8). Let f = 4508/5 - b. Calculate the common denominator of f and 25/4.
20
Let s = -7885/4 - -86853/44. Find the common denominator of s and 43/74.
814
Let j be 34*(255/468)/5. Let n = j - -19/13. Find the common denominator of -32/9 and n.
18
Let w = -2063/6 + 363. What is the common denominator of -44/3 and w?
6
Suppose -2*o = -2*c + 90, 3*c - 93 - 12 = -3*o. Calculate the smallest common multiple of 16 and c.
80
Suppose -c = -x - 3*c - 5, 11 = 5*x + c. Let m(i) = 3*i**2 + 2*i. What is the common denominator of -56/9 and m(x)?
9
Suppose 2*u = -9 + 25. Let o(w) be the first derivative of w**4/4 + 2*w**3 - w**2 - 9*w + 4. What is the least common multiple of u and o(-6)?
24
Suppose 3627 + 1656 = 3*y. Let v = 3449/2 - y. What is the common denominator of v and -49/8?
8
Suppose 3*r - 164 = -4*m, -4*m = -5*r - 0*m + 284. What is the lowest common multiple of r and 44?
616
Calculate the smallest common multiple of 2 + -1 - (-24 - 1) and 6.
78
Calculate the common denominator of -1 + 2 - (-8)/(672/(-435)) and -91/24.
168
Suppose 6*r - 2*g - 106 = r, 0 = 2*r + g - 37. What is the lowest common multiple of r and 16?
80
Suppose 3*b - 24 = -5*z - 100, 0 = -2*b - z - 60. Calculate the common denominator of 6/b*120/(-4) and 89/12.
24
Suppose -21 = -2*d + 5*a, 4*d - a = 3*d + 9. Suppose y - d = -y. Calculate the smallest common multiple of 6 and y.
12
Suppose 150 - 60 = 5*d. Suppose 5*t + 6 = 66. Calculate the least common multiple of t and d.
36
Let u(c) = -4*c + 2. Let g be (7 + 2)*(0 + 3). Let a = g - 13. Calculate the lowest common multiple of u(-2) and a.
70
Let i = 48 + -28. Find the common denominator of 9/4 and i/(-75)*(-25)/(-2).
12
Let i = -2653 + 26497/10. Calculate the common denominator of i and -67/16.
80
Calculate the least common multiple of 22 and ((-60)/9)/(2/(-6)).
220
Let n(h) = 2*h**3 - 5*h**2 - 3*h. Let g be n(-3). Calculate the common denominator of ((-122)/(-80))/((-2)/(-8)) and (-671)/g - (-2)/(-5).
90
Let l be -4 + 0 - -2 - -5. Suppose -l*y = -2*g + 26, 0*g - y = 2*g - 18. Calculate the lowest common multiple of 20 and g.
20
Let m = -791 + 15843/20. Suppose 5*n = 3*g + 30, n + n = 2*g + 12. Calculate the common denominator of (452/n)/(12/(-1)) and m.
180
Find the common denominator of -7/2 and -158*((-6)/16 + (-13)/(-26)).
4
Let d = -9 + 22. Suppose -d = -5*h - 3. Suppose 0*v + v - h = 0. Calculate the smallest common multiple of 16 and v.
16
Suppose -5*m + 2*y + 45 = 0, -2*m + 2*y + 7 + 5 = 0. Let c = -1 - -6. What is the smallest common multiple of c and m?
55
Let i(z) = -3*z - 3. Let m be i(-12). Suppose -3*a - m = -6*a. Calculate the lowest common multiple of 12 and a.
132
Let t = -1226 - -4931/4. Find the common denominator of (1/5)/(36/(-310)) and t.
36
Let v be 1/6 - (-274862)/132. Let a = v - 2080. Calculate the common denominator of 1/10*(-1010)/(-8) and a.
88
Suppose 5*z + 5*q + 5 + 0 = 0, 2 = -2*q. Suppose 0 = -3*u - z*u. Suppose u = 6*b - b - 55. What is the least common multiple of b and 1?
11
Suppose -3*f - 135 = -12*f. What is the least common multiple of 15 and f?
15
Suppose 0 = -3*q + 4*n - 4, n - 4 = 2*q - 3*n. Suppose j - 111 - 25 = -l, q = 4*j. What is the lowest common multiple of 16 and 10/25 + l/10?
112
Let p = 13 + -23. Le | {
"pile_set_name": "DM Mathematics"
} |
8*w**3).
792*w**3
Expand (-w - 2*w - w)*(0 - 2 + 0)*(-3*w + 0*w + 2*w) + 5*w**2 + 5*w**2 + 11*w**2 + (2 + 2 - 6)*(-5*w**2 + 0*w**2 + 4*w**2) - 3*w + 3*w - 4*w**2.
11*w**2
Expand (-201 + 378 - 195)*(-v + 4*v + 0*v) + 12*v + 5*v - 12*v.
-49*v
Expand 6 - 6 - t**3 + (4 - 4 - 2*t)*(0*t**2 - 4*t**2 + 3*t**2) + (-7*t - 58 + 58)*(-2*t - t**2 + 2*t) + 7 - 13*t**3 - 7.
-5*t**3
Expand (5*k + k - 2*k + (-1 - 5 + 3)*(2*k - 2 + 2))*(0 - 2*k + 0 + (-2*k + 3*k + 0*k)*(1 + 1 - 3))*(2*k - k**3 - 2*k + (0 + 0 + 2*k**2)*(2*k - 1 + 1)).
18*k**5
Expand ((0 - 2 + 4)*(-9*c + 6*c - 14*c) - c - 3 + 3)*(2 - 1 + 0)*(-20*c + 15*c - 35*c).
1400*c**2
Expand (6*b - 2*b - 2*b)*(2*b + 4 - 4) - 6709*b**2 + 0*b + 6808*b**2 - b.
103*b**2 - b
Expand -2*o + o - 3*o + (-70445 + 70445 + 171*o)*(0 - 2 + 0).
-346*o
Expand (1 + 3 - 6)*(-3*g + 20*g + 3*g) - g - 4 + 4 + (4 + 0 - 5)*(0*g + 3*g - g) + 3*g + 0*g + 6*g + g - 2*g + 2*g.
-33*g
Expand (-17 - 5 - 7)*((2*w + 2 - 2)*(1 + 0 - 3) - 5410 + 5410 - 409*w).
11977*w
Expand (-4 - 3 + 5 + (-3 + 4 + 2)*(2 + 0 - 1) - 4 - 2 + 4)*(-3 + 1 + 0)*(-2277 + 2277 + 1058*d)*(-3*d**2 + 4*d**2 - 2*d**2).
-2116*d**3
Expand (437*a**3 - 216*a**3 - 73*a - 222*a**3)*(4*a - 1 + 1).
-4*a**4 - 292*a**2
Expand (17*t + 36*t - 75*t)*(-3855 + 1696 + 358).
39622*t
Expand (-1308 - 633 + 230 - 5475 + 101)*(-d + d - 2*d**3).
14170*d**3
Expand (-3 + 1 + 1)*(z + 0*z + 0*z) - 33*z - 54*z - 82*z + 5*z - 3*z + 3*z.
-165*z
Expand (353*b + 647*b + 6*b - 147*b)*(4*b**3 + 5*b**2 - 5*b**2).
3436*b**4
Expand ((-5 + 2 + 1)*(0 - 1 + 2) + 0 - 12 - 2)*(8 - 8 + 4*s**2) - 2*s**2 - 1 + 1.
-66*s**2
Expand ((0*z - 2*z + 0*z)*(13*z - 14*z - 20*z) + 0*z**2 - z**2 - z**2)*(4*z**2 + 3*z**2 - 5*z**2)*(-33 - 10 + 19).
-1920*z**4
Expand (0 + 1 + 0)*(4*i + i - i)*(-3 + 2 + 2)*(1 - 3 + 1)*(11 - 2*i + 1647*i**2 + 28 - 1652*i**2).
20*i**3 + 8*i**2 - 156*i
Expand (-6*y + 14*y + 2*y)*(-4*y - 7*y + 4*y) + y**2 - 2*y**2 + 4*y**2.
-67*y**2
Expand (-57 + 0*x - 190*x**2 + x + 56)*(-2 - 3 + 4)*(x + 2*x + x).
760*x**3 - 4*x**2 + 4*x
Expand (3*p - 3*p - 2*p)*(-7 - 33 - 60)*(-4 + 5 + 2)*(-5 + 3 + 13)*(6 - 2 - 3).
6600*p
Expand (4 - 8 - 6)*(2*d + 0*d + 0*d) + 2 + 5*d - 3 - 2*d.
-17*d - 1
Expand (-5*x - 120*x - 36*x)*(0*x - x - 4*x)*(8 + 1 + 1).
8050*x**2
Expand -5*m - 75 + 75 + (-4 + 4 - m)*(6 + 1 - 5) + (4 - 3 + 0)*(-9*m - m + m) - 31 - 3*m - 26 + 64.
-19*m + 7
Expand (-2*n + 0 + 0)*(-2605 - 2503 - 483 + 490).
10202*n
Expand 0*u + 4*u - 2*u + 4*u - 5*u + 2*u + (2*u + 2*u - 2*u)*(0 + 4 - 2) - 4*u + u + 4*u + 153 - 22*u - 153 + (0*u + 3*u - 5*u)*(0 + 5 - 2) + 2*u - 4*u - u.
-23*u
Expand (-19*g**2 + 77*g**2 + 5*g**2)*(-2 + 2 - 2*g**2) + 11845*g**2 - 11845*g**2 - 47*g - 2*g**4.
-128*g**4 - 47*g
Expand (-1720 + 1720 - 64*y)*(y + 1 - 5 + 3)*(4*y - 2*y + 0*y).
-128*y**3 + 128*y**2
Expand (-2*y - 3*y + y)*(3 - 3 - 1 + (0 + 2 + 0)*(-4 + 9 + 12)).
-132*y
Expand (-232*n - 1455*n - 817*n - 1165*n - 505*n)*(17 - 5 + 4)*(4*n - 4*n - 2*n).
133568*n**2
Expand (-122 - 170 + 52)*(-5*f**2 + 5*f**2 - f**5 + (f**2 + 0*f**2 + f**2)*(-f**3 - f**3 + 0*f**3)).
1200*f**5
Expand -137*c**2 + 129*c**2 + c**5 + 3*c**4 + c**4 + (2*c + 2*c - 5*c)*(49*c**3 - 49*c**3 + 21*c**4) - 2*c**5 - c**3 + c**3.
-22*c**5 + 4*c**4 - 8*c**2
Expand (3 + 0 - 1)*(-3 + 1 + 4)*(2*u**3 - u**3 - 2*u**3) + 0*u**3 + 4*u**3 + 4*u**3.
4*u**3
Expand (4*c + 3540 - 1267 + c)*(2*c + 0*c - 3*c).
-5*c**2 - 2273*c
Expand 20*y**3 + 16*y**3 + 4*y**3 + (3*y - 3*y + 2*y + (-2 - 1 + 4)*(1 - 1 + y) + 3*y + y - 2*y + 3 - 3 - y)*(12*y**2 + 2*y**2 + y**2).
100*y**3
Expand (2 - 18*u - 24*u + 47*u)*(8280 - 8280 - 197*u**3).
-985*u**4 - 394*u**3
Expand (1 + 2 - 1)*(2 + 73 - 25)*(b + 2 - 2).
100*b
Expand (5*p - 2*p - 2*p)*(246 - 241 - 5*p + p).
-4*p**2 + 5*p
Expand (0*i + i + 0*i)*(1 - 1 - i)*(578 + 2106 + 330 - 1030).
-1984*i**2
Expand -2*s**4 - 14*s**5 - 11*s**5 + 15*s**5 + (2*s**2 + 0*s + 0*s)*(-7*s**3 - 7*s**3 - 2*s**3) - 3*s**5 + s**5 + 4*s**5.
-40*s**5 - 2*s**4
Expand (-17 + 18 + 8)*(-a + 0*a - a)*(-10 - 3*a + 10)*(-a + 2*a - 4*a)*(1 + 3 + 0)*(3*a**2 - 2*a**2 + a**2).
-1296*a**5
Expand 4*g**3 - 3*g**2 + 3*g**2 + (-4*g - 2*g + 5*g)*(-g**2 - 2 + 2) + g**3 - g**2 + g**2 + 113*g**2 + 98*g**2 - 2*g**3 - 305*g**2.
4*g**3 - 94*g**2
Expand 2*n - 4*n + 3*n + (6 + 6 - 4)*(-2*n - n + 4*n) + n + n + 0*n + (1 + 9 + 0)*(7*n - n + 0*n).
71*n
Expand (-z - z - z)*(2 + 4 + 4) - 5*z + 6*z - 8*z + 0*z - 5*z + 3*z - 3*z + 0*z + 4*z + 0*z + 0*z - 2*z + (-2 - 4 + 4)*(3 + 2*z - 3).
-44*z
Expand ((-5 + 4 + 3)*(4*s + 2*s + 0*s) + 2*s + 20*s + s)*(-23 + 23 - 31*s - 19*s)*(s**2 - 3*s**2 + s**2).
1750*s**4
Expand (5*r + 0*r - 4*r)*(-1 - 2 + 4) + r - 3*r + 4*r + 4*r + r - 7*r + (3 - 2 + 0)*(r + 0*r - 2*r) + 4*r - 2*r + 0*r + 2*r - 5*r + 4*r - 3*r - 13*r + 3*r.
-10*r
Expand (z - 3*z + 4*z)*(-2*z + 4*z - 3*z)*(-6*z - 38 + 38) + (-13*z**2 - 28*z**2 - 19*z**2)*(0*z + 0*z + 5*z).
-288*z**3
Expand 2 - 2 + 2*q**2 + (3*q**2 - 2*q**2 - 3*q**2)*(-1 + 3 - 3) - 1686 + 1686 - 429*q**2 - 13 + 25 - 14 - 2*q - 2*q**2.
-427*q**2 - 2*q - 2
Expand (-4 + 106 - 73 + 224)*(-2 + 2 - s).
-253*s
Expand (6*w - 4*w - 3*w)*(2 + 2 + 1)*(-1123*w + w**2 - 2452*w + 1482*w).
-5*w**3 + 10465*w**2
Expand 77 - 10248*l - 24247*l + 3546*l - 77 + (l + l + 0*l)*(1 - 4 + 5).
-30945*l
Expand (45 - 33 - 39)*(5 + h - 5 + (h + h - 4*h)*(2 + 2 - 5) + h - 4*h + 2*h - 3*h + 0*h + 8*h).
-189*h
Expand (-3*q**3 + q**3 + 3*q**3)*((37 + 150 + 144)*(-4*q + 3*q - q) - 2*q - 3 - 1 + 2).
-664*q**4 - 2*q**3
Expand (-1 + 0 - 4)*(3 - 1 + 1)*(2*o - o - 3*o)*(41*o + 68*o - 73*o)*(0 + 3 - 1).
2160*o**2
Expand (4*r - 40*r**3 + 72*r**3 - 50*r**3 - 2*r**2)*(-5*r**2 + 3*r**2 + 6*r**2).
-72*r**5 - 8*r**4 + 16*r**3
Expand (-147 + 34489*d**3 + 227 - 80)*((-3*d + 0*d + 2*d)*(-2 + 2 - 1) - 3 - 2*d + 3 - 2 + 2 + 2*d).
34489*d**4
Expand c**2 - 2*c**2 + 7*c**2 + (-2*c**2 + 0*c + 0*c)*(-36 - 9 + 4).
88*c**2
Expand (6 - 17 + 10 + 20*q)*(127 + 130 - 142)*(-5 + 3 + 1).
-2300*q + 115
Expand (-1 + 1 + 1)*(2884*y - 9403*y - 8926*y).
-15445*y
Expand (1602 - 612 - 690)*(-2*t**3 - 22*t + 22*t + 2*t**4)*(-t - 3 + 3).
-600*t**5 + 600*t**4
Expand 17812*q**3 + 17810*q**3 - 35634*q**3 + (1 - 1 + 1)*(0*q + 0*q - q**3).
-13*q**3
Expand -30965*t**4 - 20284*t**4 - 245*t**2 + 245*t**2 - 12818*t**4 + (1 - 1 + t)*(-t**3 + 0*t**3 + 2*t**3).
-64066*t**4
Expand (21*v + 26*v + 6*v)*(-4 + 8 + 8) + (-5 + 2 + 1)*(0*v + 6*v - 4*v).
632*v
Expand (13*n**3 - 1 + 19*n**3 - 75*n**3)*(-2*n + 3*n + 3*n).
-172*n**4 - 4*n
Expand (-553*o**3 + 3361*o**3 - 1016*o**3)*(-3*o + 3*o + 2*o**2 - o**2 + 2*o**2 - 2*o**2 + (4*o + 0*o - 2*o)*(0*o + 3*o - o)).
8960*o**5
Expand (3*k - 4*k + 4*k - 2)*(0 - 1 + 2) - 194 + 194 - 265*k.
-262*k - 2
Expand (5*p + 2*p + 0*p)*(-4 + 4 - 2) + (29*p - 16 + 16)*(-1 - 2 + 1).
-72*p
Expand (-6 + 7217*x + 2 - 6448*x)*(6 - 2 - 2).
1538*x - 8
Expand -2*s**3 + 2*s - 2*s + (4*s**3 - s**3 - s**3)*(-2 + 0 + 4) + (1 - 1 - 4*s)*(-4*s**2 + 4*s - 4*s) + s**3 + s**2 - s**2.
19*s**3
Expand (-60 - 122 - 42)*(2*g**2 - 11*g**3 - 4*g**4 + 10*g**3 + 3*g**4).
224*g**4 + 224*g**3 - 448*g**2
Expand ((5 - d - 5)*(4 + 0 - 3) - 2*d - 2 + 2 - d + 3*d + 0*d)*((d - d + d)*(-2*d**3 + 764*d**2 - 764*d**2) + (-4*d**3 + d**3 + 2*d**3)*(0*d + d + d)).
4*d**5
Expand ((3*p**2 - 6*p**2 + 0*p**2)*(-2 + 0 + 3) + 5*p + p**2 - 5*p)*(-1339*p + 4*p**2 + 25 + 69 + 1341*p + (-2*p + 4*p - p)*(-3*p + 6*p - p)).
-12*p**4 - 4*p**3 - 188*p**2
Expand -10*k**3 - 44*k**2 + 44*k**2 + k**3 - 2*k**3 + 2*k**3 + (-3*k**3 + 5*k**3 - k**3)*(6 - 2 - 3) - k**3 + 4*k**3 + k**3.
-4*k**3
Expand (-5*s + 0*s + 0*s)*(-1 + 1 + 2) - 20 - 7*s + 20 + 2*s + 0*s - 5*s + (-3 + 3 + 2)*(0*s + s + s).
-16*s
Expand (-3*r**2 + 0*r**2 + 5*r**2)*(38886 - 38886 + 328*r**2).
656*r**4
Expand (g + 1 - 1)*(2*g**2 - 3*g**2 - 2*g**2) - 70709 + 1936*g**3 + 70709 + 0*g**3 - g**3 + 3*g**3 + (1 - 1 + 2*g**2)*(g - 3*g + 3*g) + 4*g**3 - 3*g**3 + g**3.
1939*g**3
Expand (0 + 1 + 2)*(2 - 2 + 2*o)*(270 - 4*o - 97*o + 110*o - 8*o).
6*o**2 + 1620*o
Expand (z - z - 2*z**2)*(165 - 656 - 218).
1418*z**2
Expand -202*h**2 + 84*h**2 - 36*h**2 + (2*h**2 + 0*h + 0*h)*(5 - 9 - 22).
-206*h**2
Expand (b**3 + 2*b**3 - 2*b**3)*(-1 - 1 + 0)*(3986 - 2101 + 3700).
-11170*b**3
Expand (4*k - 2*k + k)*(0*k - k - k) + (-k - 4*k + 4*k)*(-66*k - 67*k + 51*k).
76*k**2
Expand s**4 - 3*s + 3*s + (46*s**2 + 138*s**2 + 6 | {
"pile_set_name": "DM Mathematics"
} |
.73. Let l = v - 19.16. Let u = 0.16 + l. Which is the closest to u? (a) -2/9 (b) -1 (c) -1/11
c
Let z be ((-384)/(-297) - 1) + 12/(-66). Which is the nearest to 0.1? (a) -3 (b) -2/11 (c) z (d) -2
c
Let w = 1.5 - 0.5. Let x = 0.39 - -4.61. Let p = -0.7 + -0.3. Which is the closest to w? (a) x (b) p (c) -0.2
c
Let t = 24 + -33. Let c = t - -9. What is the closest to 2/9 in -1, -2/5, c?
c
Let v be (26/(-117))/((-1)/(3/(-2))). Which is the nearest to v? (a) 2/11 (b) -1 (c) -2 (d) 4
a
Let r = 168 + -175.1. Let h = r + 7. Let w = 0.182 + -1.182. Which is the closest to w? (a) -0.4 (b) 0.3 (c) h
a
Let w = 441 - 439.1. Which is the nearest to w? (a) -1/3 (b) 0 (c) 0.1 (d) 1
d
Let x = -378 - -381. Which is the nearest to -2/3? (a) -0.4 (b) x (c) 3/2 (d) -3
a
Let r = 0.01 - 0.07. Let z = r - 0.24. Which is the nearest to 1/2? (a) -1/4 (b) z (c) -3
a
Suppose -15 = 93*c - 88*c. What is the nearest to 0 in c, -1/2, 2/3?
-1/2
Let d be 28/(-6) - (-14 - -10). Let k = -44 - -44. Which is the closest to k? (a) 4 (b) 2 (c) d
c
Let l = -3 - 1. Let x = 1 - 2. Let s(t) = t**3 + 2*t**2 + 3*t - 2. Let j be s(0). Which is the nearest to x? (a) l (b) j (c) 4/9
b
Let r = 2 - 3. Let w = r + 1.1. Suppose -28*o - 22 = -78. Which is the nearest to w? (a) 0.1 (b) 0.5 (c) o
a
Let u = 2497 - 2494. What is the nearest to 5 in 0.3, -1, u?
u
Suppose 54*l - 6*l - 48 = 0. Let w = -2.9 + 3. What is the nearest to 1 in -0.5, w, l?
l
Let u = -10 + 9.95. Let x be ((-33)/(-77))/((15/2)/5). What is the nearest to x in 2, u, 4?
u
Let g = 2.38 - 0.48. Let y = g - -0.1. Which is the closest to y? (a) -0.4 (b) 0.3 (c) -5
b
Suppose 2*h - 26 = -3*s - 16, -2*h + 10 = 4*s. Suppose -1 = l - 0*l. Which is the nearest to -2/7? (a) l (b) -2/19 (c) h
b
Let i = 977 + -972. Which is the closest to -0.1? (a) i (b) 0 (c) 6.99
b
Let u = 26.64 - 0.64. Let m = 14 - u. Which is the closest to 2/9? (a) m (b) 0 (c) 1
b
Let n = 220.2 + -249. Let c = n + 29. What is the closest to c in -0.4, 1/11, -5?
1/11
Let a be 14/21*1*3/(-7). Let t be 3/(-2) - (-2)/(-4). Let v = 0 + 0.2. What is the nearest to a in v, t, -3?
v
Let h(j) = j**2 + 7*j + 9. Let z be h(-2). Which is the closest to 0? (a) -6 (b) z (c) 4
b
Let f = 424 + -2972/7. Which is the nearest to -2/11? (a) -2 (b) f (c) 2/3
b
Let x = 209.2 + -209. Let y be 1/5 + (-7)/5. Let z be (-2)/((-4)/(-1) + -2). Which is the closest to -1/5? (a) z (b) x (c) y
b
Let u = -16 - -17. Let s = -4.5 + 4.4. Which is the nearest to u? (a) s (b) 0.02 (c) -3
b
Let a = 1085/2808 + -4/351. What is the closest to 13 in 2, 5, a, -1?
5
Let g be (1/(-2) + 2/12)*1. Which is the nearest to g? (a) 3 (b) -26 (c) 4/9 (d) 0.4
d
Let h = -3.6 - -3.46. Let r = -0.34 - h. Let j = -0.2 + 4.2. Which is the nearest to r? (a) 5 (b) -0.2 (c) j
b
Let p = 29.3 + -29. Let s = -928/15 + 62. Which is the closest to -1? (a) -0.5 (b) s (c) p
a
Let q(b) be the third derivative of -b**6/120 - b**4/12 + b**3/6 + b**2. Let l be q(1). Let t = -503 - -10565/21. What is the nearest to l in t, 5, 1?
t
Let g = -78.7 + 78. What is the nearest to 3 in -3/4, 0, g?
0
Let q = -137 + 137. Suppose -4*u + 0 - 16 = q. Which is the nearest to 0? (a) u (b) -0.1 (c) -11
b
Suppose 2*i - 2 = -r, 0 = -8*r + 5*r + 3*i + 15. Let y(s) = -s**2 + 3*s + 8. Let a be y(r). What is the closest to -0.2 in 0, -0.2, a?
-0.2
Let v = 944.9 + -945. Which is the nearest to 0.08? (a) v (b) -0.4 (c) 1 (d) 0.35
a
Let p = 68 + -67.43. Let n = -5.57 + p. Let l be (-6)/21 + (-2)/(-56). What is the nearest to l in -1/6, 2, n?
-1/6
Let d = 179.1 + -159. Let i = 47 + -27. Let h = i - d. Which is the nearest to h? (a) 0.5 (b) -2/11 (c) -3
b
Let y(v) = v**2 - 5*v + 5. Suppose 0 = -5*r - 0*r + 20. Let j be y(r). Let n = 0.8 + -1.1. What is the closest to 0 in -1/5, j, n?
-1/5
Let q = -8 + 8.09. Let s = -0.29 + q. What is the closest to 0 in s, -2, 4?
s
Suppose 0*g = 4*g + 20, 5*g + 15 = 2*t. Let s = 15 + -13. Let h = 15.4 + -12.4. What is the nearest to 0.1 in s, t, h?
s
Let t = 0 + 0.1. Let p = -1634 + 1636. Which is the nearest to t? (a) p (b) -1/2 (c) 4
b
Let u be (-18)/120*25/(-45). What is the nearest to 0 in -3, u, -1?
u
Let s be (-18)/12*(-48)/36. Which is the closest to s? (a) 2/25 (b) 5 (c) -0.4 (d) -0.2
a
Let v = -0.31 - -10.11. Let z = -2.2 - v. Let f = z - -9. What is the closest to 0 in -4/5, f, -1/7?
-1/7
Let n be (-460)/(-75) - 5 - 1. Which is the nearest to 1? (a) n (b) 4/3 (c) -2 (d) 1/7
b
Let x be 3/((-60)/(-92)) + (1 + -8 - -3). Let s = 1 - 1. What is the closest to 2 in x, s, 5?
x
Let o = 17.5 - 6. Let v = o + -11. Let d = v - 0.8. What is the closest to d in 2/3, -1/6, 1?
-1/6
Let z = 113.848 + -114. Let h = z + 0.052. Let p = -6 - -1. What is the nearest to -3 in p, h, 0?
p
Let l = -8.15 - -0.15. Let s = 3 + l. Let w be -1 + 0 + 1 + 0. What is the nearest to w in 0.3, s, -2?
0.3
Let y be 28/(-462) - (2 - (-402)/(-99)). Let j be (-18)/(-14) + 1/(-1). Which is the nearest to j? (a) 2/9 (b) -3/8 (c) y
a
Let j = -6.0795 - -0.0795. Which is the closest to -5/2? (a) -3/5 (b) -0.2 (c) 0.3 (d) j
a
Let k = 0.33 + -0.03. Let w = -38 + 38. Which is the closest to 0.3? (a) -3/7 (b) k (c) w
b
Let l = -0.1 + -0.9. Let w = -10 + 10.5. Let o = w - 0.8. Which is the closest to o? (a) -3/5 (b) l (c) -2
a
Let z be (-298)/(-12) - 2/(-12). Let q be (z/20)/(-1) + 1. Which is the nearest to -2? (a) -0.5 (b) -1 (c) q
b
Let r = 7.5 + -1.5. Let i = -6 + r. Let u = -0.01 + 1.01. Which is the closest to i? (a) 3/4 (b) u (c) 2/7
c
Let z = 229 - 225. Let r = -1 - -3. Let f be ((-5)/((-30)/4))/r. Which is the nearest to f? (a) z (b) 1/5 (c) 0.4
c
Let y = -69.125 - -69. Let o = -5.125 - y. Which is the closest to -2/13? (a) -4 (b) 1/6 (c) o
b
Let k = 52.4 - 52. Let p = 0.6 - k. Let v = -0.3 - -0.3. Which is the nearest to -0.8? (a) v (b) 5 (c) p
a
Let s = -110 - -105. Let v = -0.8 + -0.2. Let m = s - v. Which is the closest to -2? (a) m (b) 4 (c) 0.4
a
Let g = -360 + 348. Which is the closest to 3? (a) g (b) -3/5 (c) -4 (d) 5
d
Let s = 13.3 - 13.2. What is the nearest to -1 in -1/9, 1, s, 7?
-1/9
Let u = -6.69 + 6.6. Let x = 38 + -37. What is the nearest to x in u, -3, -0.1?
u
Let i = 7.55 - 7.75. Which is the closest to -0.1? (a) -4 (b) i (c) 5/9
b
Suppose -z + 3 + 2 = 0. Let w = z + -19/4. Which is the nearest to 1? (a) 1/2 (b) w (c) -1
a
Let f = 2.9 + -3. Let k = 0.41 - 0.31. Let u = -1.5 - 3.5. What is the closest to -1 in k, f, u?
f
Let o = -0.186 + 0.086. What is the closest to 1/4 in -0.9, o, 0.4?
0.4
Suppose 16 = 4*q + 4. Let i be q/15 + (-21)/5. Let l = 24.9 + -25. What is the nearest to 3/5 in i, -1, l?
l
Let n = -43592/31 + 2811/2. Let r = n - -6/31. Let t = 1 + -4. Which is the closest to r? (a) -1 (b) t (c) -1/5
c
Let s = -50 + 53.1. Let h = 3.2 - s. What is the nearest to h in 4, 0.1, 2/11?
0.1
Let j = -358/91 + 53/13. Which is the nearest to j? (a) 2/9 (b) 0.04 (c) -0.2
a
Suppose 5*x - 11 = -s, 2*s = 5*x - 2*s - 31. Suppose 3 = 2*o - x*g - 10, o + 4*g = -21. What is the nearest to o in -4, -5/4, 0.4?
-5/4
Let g = -0.8 - -0.8. Which is the closest to 14/11? (a) -3 (b) 2 (c) g
b
Let g = -165 + 661/4. What is the nearest to 0.1 in 1.9, g, 0.1?
0.1
Let z(m) = m**2 - 23*m + 40. Let l be z(21). Suppose -5*d = -d - 72. Let u be 40/d + 12/(-54). What is the closest to -1 in -3/2, l, u?
-3/2
Let l = -3 - -2.5. Let h = -342.6 - -343. What is the nearest to -1 in h, 3/11, l?
l
Let g(x) = -x**2 - 8*x - 18. Let j be g(-4). Let d be (j/4 - -1) + 2/(-6). Which is the nearest to 0.1? (a) d (b) 0.2 (c) -32
a
Let a be ((-45)/(-54) - 0)*(1 + 0). What is the closest to -0.1 in 0.3, a, -1, -4?
0.3
Let j = -25.7 + 26. Let q = 4.87 - -0.13. What is the nearest to -2 in j, 3, q?
j
Let t = -0.0851 - 2.9149. Which is the closest to 3? (a) -0.1 (b) -1 (c) t (d) 0.2
d
Let r be 8/54*6/4. Let y be (-342)/190 - 3/15. Which is the closest to 0? (a) r (b) y (c) -3
a
Let w = -18.2 - -17.9. What is the nearest to w in 4/5, -0.1, -5, 0?
-0.1
Let h = 11.1 - 15. Let t = -4.3 - h. What is the nearest to 0.2 in 2/7, -2/25, t?
2/7
Let p = 3.95 + 0.05. Let t be 32/(-112)*1/(-2). Which is the nearest to -1? (a) t (b) -1/4 (c) p
b
Let f b | {
"pile_set_name": "DM Mathematics"
} |
0004
Let u = -1002.177272 - -1002.2. Round u to 4 decimal places.
0.0227
Let v = -7146756763.400000388 + 7146756777. Let l = -0.046 + 13.646. Let n = v - l. What is n rounded to 7 decimal places?
-0.0000004
Let k = 564502037.0688997 + -106.0688997. Let c = 564501895.0000003 - k. Let g = 36 + c. What is g rounded to six dps?
0
Let m = -3559 - -3559.0002421. Round m to 6 decimal places.
0.000242
Let i = 13987 + -13929.797. Let y = 56.5 - i. What is y rounded to 1 decimal place?
-0.7
Let q(b) = 750*b**2. Let f(x) = 6*x - 8. Let s be f(2). Suppose -10 = -s*k - 34. Let g be q(k). Round g to the nearest 10000.
30000
Let o = 6390944506294566.0000226 + -6390945716719614. Let c = o + 1210425178. Let n = c - 130. Round n to six decimal places.
0.000023
Let m be (-1907362)/(-13) - (268/52 - 5). What is m rounded to the nearest one thousand?
147000
Let t = -4475.99984364 + 4476. What is t rounded to six dps?
0.000156
Let r = -60060 + -10578. Let k = r + 100635. Let c be 1/(-4) - k/12. What is c rounded to the nearest 1000?
-3000
Let r = 1120.30011722 - 1120.3. Round r to 6 dps.
0.000117
Let f = 0.03000458 + -0.02981. What is f rounded to 6 decimal places?
0.000195
Let g be (898/3)/(3150/(-783) + 4). Let f be (g - 29)/((-2)/(-24)). Round f to the nearest ten thousand.
-160000
Let c = -90.23 - -90.45028. What is c rounded to 3 dps?
0.22
Let m = 117085215703830.9999996623 + -117085215711700. Let h = 7869 + m. Round h to seven decimal places.
-0.0000003
Let k = -9213.70034 + 9215. Round k to two decimal places.
1.3
Let j = -3823.442 + 3823. Round j to one decimal place.
-0.4
Let i(j) = 348749*j - 292. Let h be i(-2). Round h to the nearest 100000.
-700000
Let l(b) = -44566*b + 44. Suppose -4*j = s - 9, 2*s - 2 = -3*j - j. Let f be l(s). Let y be f/8 - (-36)/(-48). Round y to the nearest one hundred thousand.
0
Let r be -15 - (-72)/9 - -212997. What is r rounded to the nearest one thousand?
213000
Let i(f) = -3144*f - 2. Let t = -199 - -198. Let r be i(t). Round r to the nearest 1000.
3000
Let z = -3741.5124 - -3742. Round z to one decimal place.
0.5
Let o = 313 - 33. Suppose 3*s = -11*s + o. What is s rounded to the nearest 10?
20
Let a = 12398.31 - 12017. Let q = a + -384. What is q rounded to 1 dp?
-2.7
Let l = 26117950 + -40622950. What is l rounded to the nearest 100000?
-14500000
Let q = -563.457 - -568.7. Let b = 5.2 - q. Let y = 0.253 - b. Round y to two dps.
0.3
Suppose 0 = x + 7, 782683 - 17054 = 5*g + 3*x. Round g to the nearest 10000.
150000
Let g = 1816 - -2917. Let m = g - 4740.877. Let a = m - -7.8. Round a to 2 dps.
-0.08
Let v = -31.2 - -37.65. Let x = v - 0.15. Let o = 6.3000719 - x. What is o rounded to five dps?
0.00007
Let r = -24.08 - 0.8. Let i = -24 - r. What is i rounded to one decimal place?
0.9
Let r = 88.18545343 - 40.18545364. Let j = 199.1 + -247.1. Let k = j + r. Round k to seven decimal places.
-0.0000002
Let q = 473.9414 - -0.0586. Let r = -473.99999783 + q. Round r to six decimal places.
0.000002
Let z = -248 - -241.74. Let q = 12.05 + z. What is q rounded to one decimal place?
5.8
Let m be (-164)/5 + (-44)/(-55). Let t(q) = 78*q + 300. Let v be t(m). What is v rounded to the nearest one hundred?
-2200
Let g = 34435.05 - 34956. Round g to the nearest 10.
-520
Let q = 0 + -0.004. Let m = -19218 - -19217.9959964. Let s = q - m. What is s rounded to six decimal places?
0.000004
Let q = 0.3918 - 0.39148182. What is q rounded to 6 dps?
0.000318
Suppose -5*v - 2*p = 10, v + p + 2 = 5*p. Let j be 1*(v/10 - 147202/(-110)). What is j rounded to the nearest 100?
1300
Suppose 15*p = -1243494 + 352764. Let j = 105618 - p. Round j to the nearest 100000.
200000
Let a(p) = -p**2 + 25*p - 43. Let c be a(22). Suppose -648499 + 3748899 = c*n. What is n rounded to the nearest ten thousand?
130000
Let g = -202292 + 202206.601. Round g to 0 dps.
-85
Let n be 3/7 - 3/7. Suppose -5*q + 10*q = n. Suppose 3*o = -q*o - 1560. Round o to the nearest 100.
-500
Suppose u + 141 + 196 = 0. Let a = -232 - u. Suppose -3*t - a + 315 = 0. Round t to the nearest 10.
70
Let w = -26456.0000016515 - -26456. Round w to six decimal places.
-0.000002
Let m be (-531)/(-21) + 2/(-7). Suppose 18*j = 13*j + m. Let w(q) = 229*q**3 - 6*q**2 + 7*q - 10. Let b be w(j). Round b to the nearest 1000.
29000
Let g = -3.7 - -3.91. Let d = -3.5939 - -3.80357. Let x = g - d. Round x to four decimal places.
0.0003
Let y = -722.0537 - -1249.7706. Let g = y - 57.1029. Let w = g + -471. Round w to 2 decimal places.
-0.39
Let m = -224 + 18. Let b = m - -205.714. Let k = -0.28599861 - b. Round k to 7 dps.
0.0000014
Let x = 14 + 66. Let f = 80.00324 - x. Round f to four dps.
0.0032
Suppose -3*n + 478650 = 2*f, -3*n + 0*n = -f - 478659. Suppose -2*d + 820076 = n. Suppose -q - d = 349738. Round q to the nearest 100000.
-700000
Let v = -0.8984827 + 0.9048. Round v to 5 decimal places.
0.00632
Let p = 0.769 - -0.051. Let k = -1.64 + p. Let n = k + 9.22. Round n to zero decimal places.
8
Suppose -2*t + b - 371 = 0, 0 = t - b + 105 + 80. Let q = 186 + t. Round q to four dps.
0
Suppose x = -3*d + 2, -x + 2 = 4*d - 2. Let s be (24/5 + x)*(-10)/(-4). Let w be 6/s - 3*-509. What is w rounded to the nearest one hundred?
1500
Let l = -72465.9939514 - -72466. Round l to 5 dps.
0.00605
Let n = -13415.999936805 - -13416. What is n rounded to five decimal places?
0.00006
Let y = -0.0399232218 - -0.039919. Round y to seven dps.
-0.0000042
Suppose -4*s + 0*s = -12. Suppose -5*c + s*a = 165, -3*c + a - 65 = 6*a. Let t be c/(-4)*11/((-165)/(-800)). What is t rounded to the nearest 100?
400
Let t = 995 - 989.13. Let v = t + -3.9. Let a = v + -1.970234. What is a rounded to 5 dps?
-0.00023
Let j = 6686 + -18525. Let f = j + -121161. What is f rounded to the nearest ten thousand?
-130000
Let w(z) = -53*z + 244. Let a be w(26). Let r = 4065 - a. What is r rounded to the nearest 1000?
5000
Let a = -7135.122894 - -7135. Round a to two decimal places.
-0.12
Let n = -82.42 - 1.58. Let p = n - -171. Let b = 87.000544 - p. Round b to four decimal places.
0.0005
Let p = 7972 + -7972.01213. What is p rounded to three dps?
-0.012
Let d = -3749.5 + 3749.35763. Round d to two decimal places.
-0.14
Let d = 5 - 4.5. Let x = -48.5 + d. Let k = x + 48.00000002. Round k to 7 decimal places.
0
Let b = -52.854 - -52.1. Let x = 60.046 - b. What is x rounded to the nearest integer?
61
Let t = 414 - 404. Let i = 9.9997904 - t. Round i to 5 decimal places.
-0.00021
Let a = -30965.973856 - -30966. Round a to four decimal places.
0.0261
Let j = 2.3826 + 323.2374. Let u = -323 + j. Let p = -2.14 - u. Round p to one dp.
-4.8
Let m = -14033996384 - -14033997007.30603985. Let k = m + 0.69450215. Let f = k + -624. Round f to five dps.
0.00054
Suppose i - 2449722 = -3*m, -3*m + 4*m - 816560 = -5*i. Suppose -24*d + m = -169825. What is d rounded to the nearest one thousand?
41000
Let g = -1217.875 - -2.875. Let u = g + 1215.0000541. Round u to 5 decimal places.
0.00005
Let j = 87.67 - 88. Let v = j + -0.76. What is v rounded to 1 dp?
-1.1
Let q = -114.207 - -114.20761543. Round q to 4 decimal places.
0.0006
Let a = -244611505.5 + 1670197043.5. Let h = a - 1425585544.20000109. Let b = h + 6.2. Round b to 7 dps.
-0.0000011
Let v = -103.7412 + 10648.3562. Let t = -10653 + v. Let l = 109 + t. What is l rounded to one dp?
0.6
Let g = -35788.908 + 35705. Let a = -83 - g. What is a rounded to one decimal place?
0.9
Let q = 79102.84456 - 79097. Let l = q - -55.15454. Let n = l + -61. Round n to 4 dps.
-0.0009
Let o = -0.36 + 0.7. Let g = 0.11 - o. Let d = g - -0.22999989. What is d rounded to 7 decimal places?
-0.0000001
Let v = -9179 + 9141.995. Let r = v + 37. Let b = r - -0.159. What is b rounded to 2 decimal places?
0.15
Let y = -200.7 + 181. Let k = y - -20.975. What is k rounded to one decimal place?
1.3
Let o = -0.00634117 + 0.006556. Round o to six dps.
0.000215
Let l(f) = -f**3 - 18*f**2 - 4*f + 28. Let g be (-24)/(-180) + (-4)/30 + -20. Let h = -6 - g. Let m be l(h). Round m to the nearest 1000.
-6000
Let y = -0.92 - -2.551. Let v = -1.629578 + y. What is v rounded to four dps?
0.0014
Let g = -3451.689 - -3454. Let j = g + -2.3111981. Round j to five decimal places.
-0.0002
Suppose 37970530 = 5*x + 5*w, -4*w - 22782276 = 3*x - 6*x. What i | {
"pile_set_name": "DM Mathematics"
} |
j(-4) a composite number?
True
Let w(j) = j**3 - 6*j**2 + 4*j + 13. Let h be w(6). Let q be 2/8 + (-166)/(-8). Let n = h + q. Is n composite?
True
Let z = 140 - -339. Is z a prime number?
True
Suppose 5*x = 5*y - 140, -3*x + 5*y + 49 = -5*x. Let i be x + (-2 - -3 - -1). Let f = -11 - i. Is f composite?
True
Suppose 15 + 5 = 5*d. Suppose 319 = 3*w - d*c, -3*w - 4*c - 206 = -5*w. Is w a prime number?
True
Suppose 41 - 471 = -2*j. Is j prime?
False
Suppose 3*p + 9 = 0, -2*p - 202 = -5*j + 2*p. Let o = j - 24. Is 0 + 1 + o*9 prime?
True
Suppose -5*g + 580 = -5*t, -2*g = 4*t + t - 211. Is g composite?
False
Let v(p) = p**2 - 7*p + 8. Let j be v(6). Suppose -j*a + 34 = -a - g, -3*a + g + 96 = 0. Is a prime?
True
Suppose 19*q - 18 = 17*q. Let y be 1 - 2/(2/(-35)). Suppose -y - q = -5*u. Is u composite?
True
Let u(d) = -2*d**3 - 5*d**2 + d + 7. Let a be u(-5). Suppose -p = -0*p - a. Is p a composite number?
False
Let u = -1044 - -1475. Is u a composite number?
False
Suppose -5*d + 2*r + r + 5530 = 0, 4*r = 4*d - 4416. Is d composite?
False
Let p be ((-6)/(-4))/((-6)/(-16)). Suppose -q = p*q - 165. Is q a composite number?
True
Let w = -6629 + 12534. Is w composite?
True
Let m be 6 - (2 - -2)/2. Suppose m*g - 107 = -3*s, -3*s + 188 = 2*s - 3*g. Is s a composite number?
False
Suppose 5*i - w = -3*w + 1638, 5*i - 1618 = 3*w. Is i a composite number?
True
Let x(h) = -4*h**3 + 2*h**2 - 1. Let f be x(-1). Suppose f*g + 3*i - 1866 = -586, -481 = -2*g + 5*i. Is g prime?
False
Suppose -3*o + 24 = -45. Is o composite?
False
Let m be 1/(1/1) - 3. Let k be (-3)/(-3)*(-68)/m. Suppose -3*d + k + 5 = 0. Is d a composite number?
False
Suppose 3*y - 3 = 0, 5*u + y = 4*y + 1262. Is u a prime number?
False
Suppose t + 4 - 2 = 0. Let k be -10*(-1 - 1/t). Suppose k = 2*o - y + 4*y, 4*o - y - 45 = 0. Is o prime?
False
Let o = 28 - 7. Suppose 0 = -k - 3*l + 11, -4*k = -l - o - 36. Is k composite?
True
Let o(l) be the third derivative of -l**6/120 + 7*l**5/60 + 11*l**4/24 - 5*l**3/3 - 4*l**2. Is o(7) a composite number?
False
Suppose o - 5*l - 128 = 109, 0 = 5*l - 10. Suppose 3*c = 736 - o. Is c a composite number?
False
Let u be (-2 - 0) + 2 + 1. Let k(f) = 66*f + 2. Let i be k(1). Let x = i - u. Is x a composite number?
False
Let t = 710 - 219. Is t prime?
True
Suppose 0 = 5*l - 3*l - 146. Suppose -5*z + 788 = l. Is z prime?
False
Let u(k) = 3 - 39*k - 4 + 0 - 36*k. Is u(-2) composite?
False
Let g(r) = 26*r + 1. Let h(t) = t + 4*t**2 - 5 + 1 + 1 + t**3. Let o be h(-3). Is g(o) prime?
True
Let a = 13 - 8. Suppose a*j = 121 + 9. Let x = j - -11. Is x a prime number?
True
Let q = 6 - -139. Is q composite?
True
Suppose -4*r = -4*f + 236, -r + 5*r + 118 = 2*f. Is f a composite number?
False
Let s(z) = 3*z - 4. Let m be s(4). Suppose q + 2*q - 2*r = -9, r - m = 5*q. Is q/4 - 745/(-20) prime?
True
Let c(b) = 3203*b**2 - 8*b - 6. Is c(-1) prime?
False
Let v(h) = h**2 + 3*h - 11. Suppose -7*s + 3*s + 5*k - 20 = 0, 0 = 3*s - k + 26. Is v(s) composite?
False
Let y(z) = -z**3 + 6*z**2 - 2*z - 3. Let m be y(3). Let h be m - (-3 - (0 + 0)). Let c = h + -6. Is c a prime number?
False
Is (118615/(-140))/(1 - 10/8) composite?
False
Let x = 246 + -115. Let y = 186 - x. Is y composite?
True
Let k(z) = 1 - 11*z + 2*z**2 + 6*z + 10 - 7*z. Let d = 8 - -3. Is k(d) prime?
False
Let d = 97 + -93. Suppose q + 0*i - 3*i = 796, 2*q - 1552 = -2*i. Suppose 4*v + d*o - 628 = 0, -6*v + q = -v + 3*o. Is v a composite number?
True
Let w(n) = -90*n + 5. Is w(-7) prime?
False
Suppose -3*k + 6 = 0, k = -3*i - k + 295. Is i prime?
True
Let i be 1/(3*(-4)/(-564)). Suppose 10 = -k + i. Is k a composite number?
False
Let s(b) = -60*b**3 - b**2 - 3*b - 3. Is s(-2) composite?
False
Suppose -5*l + l = -4*q - 20, -q - 3 = 0. Suppose 3*x = -x - p + 361, -l*x = p - 179. Is x a composite number?
True
Let r(i) = 3*i**3 + 4*i**2 + 1. Let b = 12 - 8. Is r(b) composite?
False
Let a(s) = 3*s - 22. Let v(b) = b - 11. Let c(y) = -2*a(y) + 5*v(y). Let z be c(-11). Suppose -u + z = -2, -3*d + 5*u = -11. Is d a prime number?
True
Suppose 5*r - 3*r + 12 = 0. Let v = r - -8. Is (-2)/v*(-49 - 4) a prime number?
True
Let v = 67 + -147. Suppose -5*a + 114 = -551. Let j = a + v. Is j a prime number?
True
Let h be (2/3)/(2/9). Suppose s - a - 21 = -4*a, 5*a + 21 = h*s. Let d = 22 - s. Is d composite?
True
Let y(f) = -59*f - 10. Is y(-7) prime?
False
Suppose j + j = 12. Suppose -580 = -j*x + 2*x. Is x a prime number?
False
Let w = -13 - -2. Let x = 44 + w. Is x composite?
True
Is (-3892)/14*2/(-4) composite?
False
Let a = 378 + -169. Is a composite?
True
Suppose -5*p - 104 = a - 3*a, 0 = 5*p + 2*a + 116. Let r = 53 + p. Is r prime?
True
Suppose 5*w - 16 = 4. Suppose 4*d + 75 + 7 = -3*i, -w*d = 16. Let x = 119 - i. Is x composite?
True
Let c = 147 + -5. Suppose -j = j + c. Let v = 106 + j. Is v prime?
False
Let f be 2/(-2) + (-19)/1. Let w = f + 28. Suppose w*b = 3*b + 5*z + 160, -2*z = -6. Is b a prime number?
False
Suppose 2 = t, i - 4*t = t + 115. Suppose -o - 2 + i = 0. Is o prime?
False
Suppose 5*p = 25, -2*h - 2*p = -p - 265. Suppose x - h = -x. Let s = x + 66. Is s a composite number?
False
Let x(t) = 8*t**2 - 1. Let d be x(1). Let s = d + -2. Suppose 0 = -s*i + 42 + 28. Is i composite?
True
Suppose -9 + 0 = -k - 2*b, -3*k + 31 = 2*b. Suppose -9*x - 70 = -k*x. Is x prime?
False
Let d = 25 + -3. Is d prime?
False
Let a = 442 - -1381. Is a prime?
True
Let k(t) = -1 - t + 7 + 8 - 4. Let g be (-1 + 2)*(9 - 1). Is k(g) a composite number?
False
Let k(w) = -w**3 + w**2 + w + 322. Let l be k(0). Suppose -107 = b + 66. Let j = b + l. Is j prime?
True
Suppose 2*v = 2*b + v + 29, -3*b = -4*v + 36. Let h be (b/6)/(12/(-18)). Suppose -4*w + h + 36 = 0. Is w a composite number?
True
Let d(q) = -q**2 - 2*q + 4. Let p be (-3 - (-36)/15)*5. Let z be d(p). Is (2 - z)/((-3)/(-63)) a prime number?
False
Let u = 935 - -314. Is u prime?
True
Let m(r) = -r + 2. Let t be m(0). Suppose -4*o + 136 = 2*b - 194, 0 = -t*b + 5*o + 321. Is b a composite number?
False
Let v be -15*(-1 - (-2)/3). Let i = 5 - v. Suppose 2*l - 238 = -i*l. Is l prime?
False
Is ((-1623)/9)/((-7)/21) a prime number?
True
Let p(l) = 43*l**2 + 2*l + 5. Is p(4) a composite number?
False
Let s = 7 + -4. Suppose s*g + 2*a = 3*a + 47, 4*a = -g + 20. Suppose 5*v + 1 = 2*q + g, 4*v - 2*q = 12. Is v composite?
False
Let m = 338 + 154. Let j = m - 330. Let r = 229 - j. Is r a composite number?
False
Let c(w) = -73*w + 3. Let x be c(-5). Suppose 3*v = x + 310. Suppose 5*a + 71 = v. Is a composite?
False
Let x(i) = -20*i - 3. Let d be (-2)/(-4) + (-18)/4. Is x(d) prime?
False
Let n(f) be the second derivative of -f**4/12 + 23*f**3/6 - 5*f**2/2 + f. Suppose -6*i + 66 = -0*i. Is n(i) a prime number?
True
Let p(q) = 33*q + 13. Is p(16) composite?
False
Suppose -2*k + 98 + 56 = 0. Is k composite?
True
Let a = -99 - -226. Is a prime?
True
Suppose -6*j = -j + x - 71, -3*x = 12. Is j prime?
False
Suppose -10*z = -7743 - 10467. Is z a prime number?
False
Suppose 2*x - 3*x + 64 = 2*s, 0 = 4*s - 3*x - 138. Is s a composite number?
True
Suppose i - 160 = -0*i. Suppose 0*u = -4*g - u + i, 70 = 2*g - 2*u. Is g a composite number?
True
Suppose -23*g = -25*g + 166. Is g a composite number?
False
Suppose 4*g + 7474 = 2*x - 1352, 2*g = -2*x + 8838. Is x prime?
False
Let m(x) = 6*x + 1. Let b(s) = 5*s + 1. Let l(t) = -5*b(t) + 6*m(t). Let u(i) = i**3 + 4*i**2 - 2*i - 6. Let n be u(-4). Is l(n) composite?
False
Is (1 + 2*(-1 + 0))*-993 a prime number?
False
Let p(r) = -208*r - 35. Is p(-4) prime?
True
Suppose 0 = 4*s - 7 - 1. Let w(a) = -a**2 + a - 2. Let b be w(s). Is (b/(-6))/((-4)/(-474)) prime?
True
Suppose -1834 + 510 = -2*g. Is g a prime number?
False
Let a(n) = 27*n**2 - n + 3. Is a(2) a prime number?
True
Suppose v = -2*d - d - 12, 0 = 2*v + 5*d + 24. Is 539/3 - (-8)/v a prime number?
True
Let f = -693 - -2102. Is f composite?
False
Let k = 0 + 2. Let v = k + 1. Suppose -2*u + 5 = 3*z, 2*z + v*z = 3*u - 55. Is u a prime number?
False
Let y(u) be the third derivative of -u**6/120 + 3*u**5/20 - u**4/12 + u**3/6 + u**2. Is y(6) a prime number?
True
Let u = 15 - 14. Suppose 156 = a - u. Is a composite?
False
Suppose -2*o + 351 = -407. Is o composite?
False
Let l(b) = -b**3 - 5*b**2 + 5*b - 2. Suppose 5*g + | {
"pile_set_name": "DM Mathematics"
} |
be -1*-230*1 - 0. Let v be 6/(-10) - (-16)/(-60)*-21. Suppose -v*x = 5*a - o, x + 3*x - 149 = 3*a. Does 12 divide x?
False
Let s = 6 + -3. Suppose 0*t - 4*p + 66 = s*t, 3*t - 51 = p. Is t a multiple of 8?
False
Suppose -3*c - u + 22 = 0, 2*c - 2*u - 17 = -5*u. Is 3 a factor of c?
False
Suppose -v + 4*v = 4*j + 7, j + 4 = 0. Let q = v - -4. Does 10 divide 21 + (q + -2)*1?
True
Suppose -5*l = -0*l - 4*r + 64, 0 = 3*l - 5*r + 41. Let d = l - -30. Is 14 a factor of d?
False
Suppose -2*i + 19 = 7. Is 4 a factor of i?
False
Let b(h) = -2 - 5*h**2 + 5*h**2 + 4*h + h**2. Is 5 a factor of b(-6)?
True
Let z(k) = 7*k**3 + k**2 - 4. Does 8 divide z(2)?
True
Suppose 3*t + 38 = t. Let z(y) = y**3 + 9*y**2 + 8*y - 8. Let j be z(-8). Let s = j - t. Is s a multiple of 11?
True
Let t(k) = k + 18. Suppose 2*w = -4*i + 4, -i - 29 = 5*w + 6. Is t(w) a multiple of 8?
False
Let v(k) be the first derivative of 7*k**2/2 + 2*k - 2. Let d be v(-2). Let m(p) = -4*p - 11. Does 14 divide m(d)?
False
Let o(t) = 75*t**3 - 2*t**2 + 2*t - 1. Does 13 divide o(1)?
False
Let j(c) = 3*c - 1. Let q be j(1). Suppose 4*f - 20 = -5*a, -q = -3*f - a + 2. Does 4 divide 8 - 0/3 - f?
True
Let y(k) = 12*k**2. Is y(-1) a multiple of 6?
True
Let o be (1/(-2))/((-2)/(-12)). Is (-1)/3 - 55/o a multiple of 10?
False
Let r(l) = -l**3 + 29*l**2 + 2*l - 8. Is r(29) a multiple of 5?
True
Suppose 0 = -a + 46 - 16. Is 4 a factor of a?
False
Let i(j) = j - 7. Let d be i(8). Let x be 1 + 0 + d + 0. Suppose 0 = -h + x. Is h even?
True
Let h be 6/(-21) + 94/(-14). Let n = 3 - h. Is n a multiple of 10?
True
Suppose 612 = -0*k + 9*k. Does 35 divide k?
False
Suppose 2*l - 349 = -3*d, -589 = -5*d + 3*l + l. Is 7 a factor of d?
False
Suppose 0*k + 12 = -2*k. Let t(w) = w**2 + w - 8. Does 22 divide t(k)?
True
Let w be ((-1)/(-1) - 2) + 9. Let z = w + -2. Suppose -z = -s - 3. Is s a multiple of 2?
False
Let x = 15 - -15. Is x a multiple of 30?
True
Let z = 53 + -36. Let y = 60 - z. Is 16 a factor of y?
False
Let l be 5*6/(4/2). Suppose -7*h + 2*h = -l. Suppose m = 3*y - 105, -4*y + 0*m + 127 = h*m. Does 13 divide y?
False
Suppose 2 = z + 3. Let u be 0/(2 - (-1 - z)). Suppose 8*n - 4*n - 48 = u. Does 10 divide n?
False
Let b(n) = 3*n**2 + n + 1. Is b(2) a multiple of 11?
False
Suppose 7*j = -j + 88. Does 2 divide j?
False
Let m be 19*7 + 4/2. Suppose 4*q - q = m. Suppose 2*n - 27 = q. Is n a multiple of 15?
False
Suppose -5*v - 90 = -8*v. Let o be 2/(1*4/v). Is 3 a factor of 2/(-3) - (-100)/o?
True
Let n(s) be the first derivative of s**2 + 6*s - 1. Suppose 0 = -2*l - 0*l + 16. Does 22 divide n(l)?
True
Suppose 7 = -y - 17. Let n = y + 75. Is n a multiple of 17?
True
Suppose 9 - 7 = 2*t. Let w(f) = -34*f**3 - 5*f**2 - 7*f - 5. Let u(x) = -x**3 + x**2 + x + 1. Let g(v) = -6*u(v) - w(v). Does 18 divide g(t)?
False
Let n(k) be the third derivative of -1/8*k**4 - 2*k**2 + 0 + 0*k**3 + 0*k + 7/60*k**5. Is n(2) a multiple of 8?
False
Suppose x + 0*x + 16 = -5*m, 4*x - 3*m - 28 = 0. Suppose -23 = -d + x. Suppose 0*s + s = d. Does 10 divide s?
False
Suppose 4*r + 3*y - 190 = 165, -5 = -y. Is 5 a factor of r?
True
Let h be 10/(-35) + (-18)/(-14). Let p be (3 - 3 - h)*0. Suppose p*l + 2*l - 124 = 0. Does 21 divide l?
False
Let f(k) be the first derivative of 2*k**3/3 - k**2 - 2*k - 4. Is 10 a factor of f(-2)?
True
Suppose 0 = -2*p + 5*y + 275, y + 3*y = 5*p - 662. Suppose p = 5*r + x + 4*x, 0 = -2*r + 4*x + 58. Is 14 a factor of r?
False
Suppose 0 = -0*m - 4*m + 8, m + 34 = 3*i. Suppose 0*s - i = -2*s. Is (-36)/(-8)*8/s a multiple of 2?
True
Suppose 2*k + 4*g - 22 = -0*k, -2*k + 16 = 2*g. Suppose -2*b - 176 = -k*j + 22, -2*b + 162 = 4*j. Is 8 a factor of j?
True
Let p be 33*(0 + 2)/6. Let z = -19 + p. Let b = z + 16. Is 8 a factor of b?
True
Let p = -19 + 35. Is 4/p - 143/(-4) a multiple of 18?
True
Let c = 55 - 86. Let v(y) = y**2 - 63. Let m be v(0). Let r = c - m. Is 12 a factor of r?
False
Let k(d) = -d - 1. Let c be k(-3). Suppose -4*z - 20 = 0, -2*a + 9 = c*a - z. Is (0/a + -6)*-2 a multiple of 6?
True
Suppose h = 33 - 10. Does 4 divide h?
False
Suppose -2*u + 5*u = 33. Let p(b) = 5*b + 3. Is p(u) a multiple of 29?
True
Let k be (3/2 - 1)*4. Suppose k*j = -j + 33. Is j a multiple of 4?
False
Suppose 2 = -j - 3. Let r = -5 - j. Suppose r = 4*v - 20. Is v a multiple of 3?
False
Suppose 21*p = 22*p - 106. Let v = -65 + p. Is v a multiple of 13?
False
Let b be (-12)/(-10)*(0 + 5). Let g(w) = w - 7. Let n be g(b). Does 6 divide n + 11 + 3/3?
False
Suppose -3*i + 226 = 46. Is i a multiple of 18?
False
Let b = 11 - 8. Suppose -4*q = g + b*g + 24, 3*q - 6 = 3*g. Is 13 a factor of (g - 1)*(-26)/10?
True
Let f(b) = -40*b + 10. Let o(s) = -27*s + 7. Let c(t) = -5*f(t) + 7*o(t). Is 18 a factor of c(5)?
True
Let r(o) = 11*o**2 + 16*o + 16. Let h(y) = 5*y**2 + 8*y + 8. Let n(k) = 13*h(k) - 6*r(k). Is n(8) a multiple of 4?
True
Let i = 32 - 8. Is 9 a factor of -39*(i/(-9) - -2)?
False
Let k = -11 - -26. Does 3 divide k?
True
Let m = 7 + -5. Suppose -5*q = -0*p + 3*p - 198, -m*q = 3*p - 81. Suppose 5*o - 13 = -g, -q = -0*g - 3*g - 2*o. Does 7 divide g?
False
Let o(z) be the third derivative of -z**7/5040 + z**6/360 + z**5/60 + 2*z**2. Let q(d) be the third derivative of o(d). Does 9 divide q(-7)?
True
Let g(m) = -m + 21. Is 7 a factor of g(2)?
False
Let r(i) = i**3 - i**2 + 42. Let d(b) = 2*b + 5. Let a(z) = 3*z + 6. Let v(j) = -3*a(j) + 4*d(j). Let l be v(2). Is r(l) a multiple of 16?
False
Let y = 59 + -109. Let z = 6 + -40. Let a = z - y. Does 10 divide a?
False
Suppose 5*v + 22 + 78 = 4*y, -5*v = 0. Is y a multiple of 5?
True
Let z(o) = -6*o**3 - o**2 + 1. Let s be -2 + 2 + 3/(-3). Let r be z(s). Is 20/(-6)*(-27)/r a multiple of 15?
True
Let v be 35*(52/(-20) - -3). Suppose -c + v = -10. Does 16 divide c?
False
Is 14 a factor of ((-28)/(-8) - 3)*154?
False
Let a(r) = -r**2 - r + 200. Is 10 a factor of a(0)?
True
Let h(d) = 2*d**2 - 6*d - 15. Is 13 a factor of h(7)?
False
Suppose 3*d = 4*k - 2*d - 638, 3*k + 5*d - 496 = 0. Is 27 a factor of k?
True
Let f(w) be the first derivative of 3*w**2/2 + 8*w - 4. Is f(6) a multiple of 26?
True
Let z(x) = x**2 + 3*x - 1. Is z(2) a multiple of 3?
True
Is 5/(25/112) - (-6)/10 even?
False
Suppose 5*p + 35 = 3*m, 5*p + 0*m + 35 = m. Let u(g) = -g**2 - 14*g - 10. Does 13 divide u(p)?
True
Is 8 a factor of 84/6*(-192)/(-14)?
True
Suppose -4*u + 7 + 13 = 0. Suppose -u*a = -h - 4, h + 20 = 5*h - 2*a. Suppose -v + h*v = 100. Does 20 divide v?
True
Suppose -5*p + 1404 - 245 = -4*a, 4*p = -4*a + 956. Suppose -27 = 4*k - p. Is k a multiple of 13?
True
Let c = -52 - -81. Suppose -c = -4*i - 9. Is i a multiple of 2?
False
Let a = -9 + 15. Suppose 0 = -g + a*g - 5. Is 18 a factor of (36*1)/g + 1?
False
Suppose 2*p + 66 = 4*w, 4*p + 14 + 22 = 2*w. Let k = 27 - w. Is k a multiple of 11?
True
Let a = -8 + 12. Suppose 3*i - 12 = -0*i, 0 = -a*n - i + 124. Does 15 divide n?
True
Let y = 134 - 131. Does 2 divide y?
False
Let n be (-244)/(-12) - (-2)/(-6). Suppose 5*m - 3*b = 27, 7*m - 4*m + 2*b = n. Is m a multiple of 2?
True
Let c = -3 - -5. Suppose -a + 2 = -c*g, 2*a - 4*g - 8 = -a. Suppose a*z = 3*z + 14. Is 7 a factor of z?
True
Let i(u) = -5*u + 4. Let z(y) = -14*y + 13. Let m(h) = -11*i(h) + 4*z(h). Let p be (2 + -2)/(5/5). Does 8 divide m(p)?
True
Let s(c) = -c**2 - 10*c - 9. Let y(l) = -l + 1. Let n be y(10). Let j be s(n). Does 6 divide (-3)/(j + 3/(-8))?
False
Let n = 8 + -6. Let l = -7 + n. Is (-58)/l + 4/10 a multiple of 7?
False
Let p(g) = g**2 + 9*g + 8. Let z be p(-8). Suppose 61 = 2*t - 3*r, -6*t + t - 3*r + 163 = z. Is t a multiple of 6?
False
Does 7 divide 2/(-4) - 2*(-239)/4?
True
Let q be 6*(2/4 + -1). Suppose 5*a - 5 - 5 = 0. Is 5 a factor of 2 - -4 - (q + a)?
False
Suppose 5*b - 6*b = 2*k - 29, 4*k - 23 = 5*b. Does 5 divide k?
False
Let r be (-350)/(-8) - (-7)/28. Suppose 4*t = -5*z - 0*t - r, -3*z + 2*t = 22. Let w = z - -16. Does 4 divide w?
True
Let u = 1 - 4. Let d(q) = -3*q + 1 + 2*q - 2*q. Does 5 divide d(u)?
True
Is 21 a factor of 13 + -12 + 274/2?
False
Let i(k) be the third derivative of k**5/60 - 5*k**4/12 + k**3/2 + 3*k**2. Is i(10) a multiple of 3?
True
Let v = 13 - 7. Is v a multiple of 4?
False
Suppose -j + i - 145 + 360 = 0, -20 = 4*i. Does 14 divide j?
True
Let w be 7 | {
"pile_set_name": "DM Mathematics"
} |
0, -2/7, 0.2, -0.1 in increasing order.
-2/7, -0.2, -0.1, 0, 0.2
Sort -4, 1, 25, 0.
-4, 0, 1, 25
Put 3, -4, -7, -3 in decreasing order.
3, -3, -4, -7
Sort 3, 0, 4, 8.
0, 3, 4, 8
Sort -4, -1, -3, 3277 in descending order.
3277, -1, -3, -4
Put -65, -0.01, 2/7, 1/4, 2 in decreasing order.
2, 2/7, 1/4, -0.01, -65
Put -28, -1/3, -335 in increasing order.
-335, -28, -1/3
Put -4, -8, -11 in descending order.
-4, -8, -11
Sort 0, 5, 1, 3.
0, 1, 3, 5
Put -7, 1, -12 in decreasing order.
1, -7, -12
Put 1/18, -1/5, 5, 3/5, 6 in ascending order.
-1/5, 1/18, 3/5, 5, 6
Sort 1/2, -8, 0.4, -1/4, -0.84 in descending order.
1/2, 0.4, -1/4, -0.84, -8
Sort 23, -6, 3 in descending order.
23, 3, -6
Put -4, 2, -5, -0.05 in increasing order.
-5, -4, -0.05, 2
Put -5, -39, -3 in increasing order.
-39, -5, -3
Sort -48, 1/4, -1/4, 1/3, -2 in ascending order.
-48, -2, -1/4, 1/4, 1/3
Put 31, -2, 2, 0, 44 in descending order.
44, 31, 2, 0, -2
Sort -4, -357, 2, -1 in decreasing order.
2, -1, -4, -357
Put 4, 3, 11, 2 in ascending order.
2, 3, 4, 11
Put 3, 8, 120 in increasing order.
3, 8, 120
Sort 0, 1, 33, -5 in increasing order.
-5, 0, 1, 33
Put -25, 2, 0.14, 3 in increasing order.
-25, 0.14, 2, 3
Put 87, -1, 2 in decreasing order.
87, 2, -1
Sort -27, 1, -15 in increasing order.
-27, -15, 1
Put 2/5, -26, 5/3 in increasing order.
-26, 2/5, 5/3
Put 1/16, 3, 4 in descending order.
4, 3, 1/16
Sort -0.12, -1/3, -5, 0.8 in decreasing order.
0.8, -0.12, -1/3, -5
Sort 3, 904, -0.2, 2/3 in ascending order.
-0.2, 2/3, 3, 904
Sort -48, -4, 4 in descending order.
4, -4, -48
Sort 101, -0.1, -1/3, -2/11 in descending order.
101, -0.1, -2/11, -1/3
Put -5, 0, -1, -25/6 in descending order.
0, -1, -25/6, -5
Sort -2, -3, -5, -165, 0.
-165, -5, -3, -2, 0
Put 4, 1, -4, -5, 18 in ascending order.
-5, -4, 1, 4, 18
Sort -4, -0.02, 2/7, 6.
-4, -0.02, 2/7, 6
Sort -1, -4, -8 in descending order.
-1, -4, -8
Sort 1, 0, 4.
0, 1, 4
Put 120.6, -2, 3 in increasing order.
-2, 3, 120.6
Put 4, -4/7, -3, -0.4 in ascending order.
-3, -4/7, -0.4, 4
Put -2/7, -6, -2, 1 in increasing order.
-6, -2, -2/7, 1
Put 3, 6, 4, -2 in decreasing order.
6, 4, 3, -2
Sort -1, 8, 2 in descending order.
8, 2, -1
Put 3, -9/2, 0, 25 in descending order.
25, 3, 0, -9/2
Put 48, 5, 8 in descending order.
48, 8, 5
Sort 12, -13, 4.
-13, 4, 12
Put -21, 2, -2, 0 in descending order.
2, 0, -2, -21
Sort -1, -7, 13, -3.
-7, -3, -1, 13
Sort 0.1, 94, -3, -1, 1 in increasing order.
-3, -1, 0.1, 1, 94
Put 15, 2, -0.04, -3 in ascending order.
-3, -0.04, 2, 15
Put -6, 1, 3, -26 in ascending order.
-26, -6, 1, 3
Sort 0.2, -2, 0.5, 0 in decreasing order.
0.5, 0.2, 0, -2
Sort -3, 2, -4, -58 in increasing order.
-58, -4, -3, 2
Sort 3, 62, -6, 5, 2 in descending order.
62, 5, 3, 2, -6
Sort -1, -3, -176 in decreasing order.
-1, -3, -176
Sort -1/3, 3/10, 33, -2 in descending order.
33, 3/10, -1/3, -2
Sort 3, 19, 11 in decreasing order.
19, 11, 3
Put -2, -4, 0, 4 in decreasing order.
4, 0, -2, -4
Put 1, -62, 2 in decreasing order.
2, 1, -62
Sort 4, 3, 420, 1, -2 in decreasing order.
420, 4, 3, 1, -2
Sort -2, 621, 4, 1 in descending order.
621, 4, 1, -2
Sort 0.3, 5, 0.4, -1/6, -3 in ascending order.
-3, -1/6, 0.3, 0.4, 5
Sort -151, -1, 0, -10 in descending order.
0, -1, -10, -151
Sort -2, 11, -3 in decreasing order.
11, -2, -3
Sort -2, 0.3, 10 in descending order.
10, 0.3, -2
Sort 1, 46, 4, -1.
-1, 1, 4, 46
Put 0.4, -0.5, 14, -2 in descending order.
14, 0.4, -0.5, -2
Put -1, -5, -4, -40, 1 in decreasing order.
1, -1, -4, -5, -40
Put -3, 0, 3, -7 in decreasing order.
3, 0, -3, -7
Put -2, 5, 3 in ascending order.
-2, 3, 5
Sort 0.4, -4, 37, 1/5 in decreasing order.
37, 0.4, 1/5, -4
Sort 4, 2, -7/80.
-7/80, 2, 4
Sort -2/69, -0.3, 0.4.
-0.3, -2/69, 0.4
Sort -3, -4, -61, -2, 0 in ascending order.
-61, -4, -3, -2, 0
Sort 18/7, 5, -0.072.
-0.072, 18/7, 5
Put 0.21, 2/9, 3, 5, -0.39 in decreasing order.
5, 3, 2/9, 0.21, -0.39
Sort 3, 2, -14.
-14, 2, 3
Sort 2/17, -5, 2/9, 3 in ascending order.
-5, 2/17, 2/9, 3
Put 2/11, -12/583, 4/7, -2/9 in descending order.
4/7, 2/11, -12/583, -2/9
Sort 21/212, -0.4, -4 in descending order.
21/212, -0.4, -4
Sort 2, -11, 1, -2 in decreasing order.
2, 1, -2, -11
Put 43, 4, 3, 1, 6 in decreasing order.
43, 6, 4, 3, 1
Sort -5, 1, -56, -1 in increasing order.
-56, -5, -1, 1
Put -1, -55, 0, -2, -7 in descending order.
0, -1, -2, -7, -55
Put -1670, -4, 2 in decreasing order.
2, -4, -1670
Put 1.5, 1, 0.02, 2/21 in decreasing order.
1.5, 1, 2/21, 0.02
Sort 36, -3, 8 in decreasing order.
36, 8, -3
Sort -2, -5, -7, 2.
-7, -5, -2, 2
Put 50, 0, -12 in decreasing order.
50, 0, -12
Sort 9, 2, 3, 1 in decreasing order.
9, 3, 2, 1
Sort -11, 1, -4, -1/5.
-11, -4, -1/5, 1
Put 0, -3, 733 in descending order.
733, 0, -3
Put -3/2, -44, -5, -1/3 in ascending order.
-44, -5, -3/2, -1/3
Put 118, -8, -5 in decreasing order.
118, -5, -8
Sort -2/15, -146, -2 in descending order.
-2/15, -2, -146
Put -7, 0.3, 1/6 in increasing order.
-7, 1/6, 0.3
Sort 102, -4, -1 in increasing order.
-4, -1, 102
Sort 3, -4, 61, 1 in descending order.
61, 3, 1, -4
Sort 0.5, -0.014, 0 in decreasing order.
0.5, 0, -0.014
Sort 0.23, 2, -1 in ascending order.
-1, 0.23, 2
Put 0.7, -3/275, -0.1 in ascending order.
-0.1, -3/275, 0.7
Sort 6, 2, -3, 0, 3 in decreasing order.
6, 3, 2, 0, -3
Sort 4, -3/2, 20.
-3/2, 4, 20
Sort 399, -1, -12.
-12, -1, 399
Put -1, -8, 5 in descending order.
5, -1, -8
Sort 11, -3, -4.
-4, -3, 11
Sort -5, -3, 1/8, -74.
-74, -5, -3, 1/8
Put -10, -1, 30, 3 in increasing order.
-10, -1, 3, 30
Put -3, 3, 0.1, 4/3, -270 in descending order.
3, 4/3, 0.1, -3, -270
Sort -8, -5, -51 in descending order.
-5, -8, -51
Sort -5, 69, -4 in increasing order.
-5, -4, 69
Sort -2, -11, 4, 2 in descending order.
4, 2, -2, -11
Put 4.5, 2/11, -0.2, 3 in ascending order.
-0.2, 2/11, 3, 4.5
Sort 2/21, 12, 4, 2/7, 15 in decreasing order.
15, 12, 4, 2/7, 2/21
Put 0.26, 3, 1/4 in increasing order.
1/4, 0.26, 3
Sort -2, -5, -6, 4.
-6, -5, -2, 4
Put 2/3, 0.068, -5 in descending order.
2/3, 0.068, -5
Put -1, -381/7, -0.1 in increasing order.
-381/7, -1, -0.1
Put 5, -5, -4, 2 in decreasing order.
5, 2, -4, -5
Sort 1, -34, 4 in decreasing order.
4, 1, -34
Sort 4, -5, 5, -7.
-7, -5, 4, 5
Sort -5, -2, 2/21, 31, 1 in decreasing order.
31, 1, 2/21, -2, -5
Sort -2, -0.05, 1/2, 17, -5 in ascending order.
-5, -2, -0.05, 1/2, 17
Put -1, 1.35, -4 in descending order.
1.35, -1, -4
Sort -35, -3, 1/2, 2/9 in ascending order.
-35, -3, 2/9, 1/2
Sort 5, -7, 0 in descending order.
5, 0, -7
Put -1, -3, 2, -13, -2 in decreasing order.
2, -1, -2, -3, -13
Sort 15, -4, -7 in increasing order.
-7, -4, 15
Put -5, -2, -4, 34, -1 in ascending order.
-5, -4, -2, -1, 34
Sort -65, 2, -5, -3.
-65, -5, -3, 2
Put -8, -1, -3, -15 in descending order.
-1, -3, -8, -15
Sort -6, -9, -19.
-19, -9, -6
Put -2, -0.5, -4/7, 2, 0.006 in descending order.
2, 0.006, -0.5, -4/7, -2
Put -54, -0.1, -5, 5 in ascending order.
-54, -5, -0.1, 5
Sort 0, 108, 3, -1 in descending order.
108, 3, 0, -1
Put -7, 10, 0 in ascending order.
-7, 0, 10
Put -15, -3, 3, -4 in decreasing order.
3, -3, -4, -15
Sort 1.2, 2/17, -2/3 in decreasing order.
1.2, 2/17, -2/3
Sort 1, -3, -59 in increasing order.
-59, -3, 1
Sort -140, 1, 2.
-140, 1, 2
Put 0, 0.4, 72 in decreasing order.
72, 0.4, 0
Sort 12, -1/2, -4/7, 5/2 in ascending order.
-4/7, -1/2, 5/2, 12
Sort -44, 3, -0.5.
-44, -0.5, 3
Sort 2, -0.05, 76, 0.2.
-0.05, 0.2, 2, 76
Put -7, -0.3, 60, 0.1, 3/4 in increasing order.
-7, -0.3, 0.1, 3/4, 60
Put -2, -11, -3, 1 in increasing order.
-11, -3, -2, 1
Put 5/4, -0.08, -9 in descending order.
5/4, -0.08, -9
Sort 2/9, -22, -3, 0.1 in decreasing order.
2/9, 0.1, -3, -22
Sort -16, -55, -4, -2, -5.
-55, -16, -5, -4, -2
Put 118, -4, -2, -5 in descending order.
118, -2, -4, -5
Put -4, -1, 2, 5, -11 in increasing order.
-11, -4, -1, 2, 5
Sort 0.9, 2/5, -0.08.
-0.08, 2/5, 0.9
Put -5, 13, -0.133, -1, -0.2 in descending order.
13, -0.133, -0.2, -1, -5
Sort -1, 2/407, -4 in ascending order.
-4, -1, 2/407
Put 42, -2, 5, -5, -3 in descending order.
42, 5, -2, -3, -5
Sort 5, -0.2, 1/4, -15/97 in descending order.
5, 1/4, -15/97, -0.2
Put 3, -3/2, 1, 1/36 in decreasing order.
3, 1, 1/36, -3/2
Put 3, 5, -64, 0 in decreasing order.
5, 3, 0, -64
Put 201, 0, -3 in decreasing ord | {
"pile_set_name": "DM Mathematics"
} |
*4 - 2*o**4)*(-20 - 78*o + 13 + 85*o).
-14*o**5 + 14*o**4
Expand (-2*s**3 - 3*s**3 + 3*s**3)*(8*s**2 - 4*s**2 + 0*s**2).
-8*s**5
Expand (-w + 22 - 22)*(-2 + 3 - 3)*(-1 - 3*w + 3 + 5*w).
4*w**2 + 4*w
Expand (-35*u**3 + 40*u - 40*u)*(-u + u + u).
-35*u**4
Expand v**4 + 0*v**4 - 2*v**4 + (0*v**2 + 2*v**2 - 3*v**2)*(-6*v**2 + 5*v**2 + 7*v**2 + v).
-7*v**4 - v**3
Expand -2*y**2 - y + y + (8 - 8 + 4*y)*(4*y + 2 - 2).
14*y**2
Expand (17*m + 12*m - 2*m)*(-4*m**3 + 5*m**3 + m**3).
54*m**4
Expand (4 - 2 - 1)*(-2*j + 3*j + 0*j + 2*j - 4*j - j + j + j + 0*j - 3*j + 5*j - 3*j + (-1 + 2 - 2)*(-4*j + j + j) - 2*j + 2*j + j).
2*j
Expand (-5 + 5 - 3)*(-n + n - n**2)*(-2*n**2 + 2*n**2 - n**2).
-3*n**4
Expand (l**3 - 2*l**3 + 0*l**3 + (0*l**2 + 2*l**2 + 0*l**2)*(-2*l - l + 5*l) + l - 2*l**3 - l)*(l**2 + 3*l**2 - 3*l**2).
l**5
Expand -2*s**4 + 1 - 3*s + 3*s + (-s**4 + 0 + 0)*(-2 - 3 + 6).
-3*s**4 + 1
Expand (-7*x**4 + 3*x**4 + 2*x**4)*(3 - 2 + 0) - x**4 - x**2 - 71 + 70 + 0*x**4 + (-x**3 - x**3 + 0*x**3)*(1 - 1 - 5*x).
7*x**4 - x**2 - 1
Expand (-a**3 + 5*a**3 - 2*a**3)*(-4 - 8 - 4) + 0*a**2 + 0*a**2 - 2*a**3.
-34*a**3
Expand (2*j**3 - 2*j**3 - 9*j**3)*(2*j**2 + 1 - 1 + 3*j**2 - 5*j**2 + j**2 + (5 - 2 - 2)*(j**2 - 3*j**2 + 4*j**2)).
-27*j**5
Expand -3*s**4 + 2*s**4 - s**4 + (-2*s**2 - 2*s**2 + 2*s**2 + (-2*s**2 + 1 - 1)*(4 - 4 - 2))*(17*s - 17*s - 8*s**2).
-18*s**4
Expand (t - 2 + 2)*(144*t + 15*t**2 - 144*t).
15*t**3
Expand 8*g**2 - 2*g**3 - 3*g**3 + 2*g**3 + 2*g**3 - 2*g**3 + g**3 + (-1 + 2*g**2 + 1)*(0 + 0 + 2*g) + 0*g**3 - 3*g**3 + 2*g**3 - g**3 - 3*g**3 + 6*g**3.
3*g**3 + 8*g**2
Expand (28 + 22 - 20)*((0 - 1 + 2)*(-2*v + 4 - 4) - 2*v + 3*v - 2*v)*((0 + 0 + 1)*(4 - 1 - 2) - 4 + 0 + 2).
90*v
Expand -4 + 4 - 2*s + (0*s + 0*s + 3*s)*(-3 + 2 + 3) - 3*s - 2*s + 4*s + 3*s + 3*s - 7*s + (s - 3*s + 0*s)*(-2 + 5 - 1) - 7*s + 3*s + s + s - 4 + 4.
-4*s
Expand (1 - 1 + 1)*(0*s + 0*s + 2*s) - 9*s + 10*s + 2*s.
5*s
Expand 4*u**2 + 3*u**2 - 5*u**2 + (u**2 + u**2 - u**2)*(-3 + 4 - 3) + u**2 + 8*u**2 - u**2 + 2*u**2 + 1 - 1 + (-2 + 1 + 3)*(u**2 + 2*u**2 - 4*u**2).
8*u**2
Expand (2*r**2 + 0*r**2 - 4*r**2)*(0*r + 3*r - r) - r**3 + 29*r**3 + 32*r**3 + (2 + 2 - 3)*(-r**3 + 0*r**3 + 2*r**3).
57*r**3
Expand -c**3 + c**5 + c**3 + (5*c - c - 3*c)*(0*c**2 + 0*c**2 + 2*c**4) + 0*c**2 + 0*c**2 - c**5 + (-2*c**3 + 0*c**3 + 0*c**3)*(0*c**2 - c**2 + 3*c**2).
-2*c**5
Expand (i - 2*i - i)*(5*i**2 - i**2 - 2*i**2) - 3*i**3 + 3*i**3 - i**3 + i**3 - 3*i**3 + i**3 + 73*i**2 - 5*i**3 - 91*i**2 + 4*i**3.
-7*i**3 - 18*i**2
Expand (-3*h + 5*h + 0*h)*(-5*h**3 + 13*h**3 + 25*h**3).
66*h**4
Expand (-12*m - 4*m - 61*m)*(-6 + 4 - 1)*(5 - 2 - 2).
231*m
Expand (2 - 2 - 3*s)*(3*s - 2*s + 0*s)*(-2*s + 3*s + 3*s).
-12*s**3
Expand 0*w**3 - 5*w**3 - 16*w**3 + (2 - 2 + 2*w)*(4*w - 4*w + w**2).
-19*w**3
Expand (2*r + r + 0*r)*(2*r**2 + 19*r**2 - 4*r**2).
51*r**3
Expand (-5 + 25 + 0)*(-1 + 1 - 2*t**2)*(-t - t + t).
40*t**3
Expand (3*m**2 - 2*m**2 - 3*m**2)*(4 - 1 - 1)*(2*m - 6*m + m).
12*m**3
Expand -3*q**3 - 9*q**3 + 8*q**3 + (-4 + 4 - 2)*(5*q + 2*q**3 - 5*q).
-8*q**3
Expand (-2*f**4 - f**3 + f**3)*(3 - 1 - 3)*(-13 - 28 - 11).
-104*f**4
Expand (-1 + 0 + 3)*(4 + 6*v - 4) - 5*v + 0*v + 3*v.
10*v
Expand (0*l - l + 0*l)*(-3 + 1 - 1)*(-2 - 2 + 3).
-3*l
Expand (-5 + 3 + 4)*(-8*l**2 - 4 + 4) - l**2 + 2*l**2 + l**2 + (2*l**2 + 2*l**2 - 5*l**2)*(1 + 1 - 1) - l**2 - 4 + 4.
-16*l**2
Expand 3*g**2 + g**2 - 3*g**2 + (-g**2 + g**2 + 2*g**2)*(4 - 1 - 2) + 0 + 0 + g**2 - 3*g**2 + 4*g**2 - 2*g**2.
3*g**2
Expand (62*r**2 - 28 - 62*r**2 - 2*r**3)*(-r**2 - 2*r**2 + 2*r**2).
2*r**5 + 28*r**2
Expand (3 - 1 + 0)*(0*t**2 + t**3 + 0*t**2) + 92*t**3 + 95*t**2 - 95*t**2.
94*t**3
Expand (0 + 0 + 2*p**4)*(6*p - 2*p - 2*p)*(-1 - 1 - 1).
-12*p**5
Expand (3*v**2 + 0*v**2 + 0*v**2)*(v - 3*v - 3*v - 3*v + 0*v + 2*v + (2 + 0 - 3)*(2*v + 0*v - 4*v)).
-12*v**3
Expand -1 + s**2 + 4*s + 1 + (4*s + 0*s - 2*s)*(-30*s + 56 - 56).
-59*s**2 + 4*s
Expand -3*n**3 - n**3 + 2*n**3 + (0*n + 2*n - 3*n)*(-n - 2*n**2 + n) - 11*n**3 + n**3 + n**3.
-9*n**3
Expand (-2*l**2 + l**2 + 3*l**2)*(5*l - 3*l - 4*l) + (-l - 5 + 5)*(0*l**2 - 2*l**2 + 3*l**2) + 139*l - 10*l**3 - 139*l.
-15*l**3
Expand 5*b**3 + 2 - 2*b**3 - b**3 + (2*b + 3 - 3)*(b**2 + 2*b**2 - 6*b**2) + (-4*b - 2*b**2 + 4*b)*(0*b - 3*b + 2*b).
-2*b**3 + 2
Expand (-1 + 2 - 2)*(-2*l + 2 - 2).
2*l
Expand (3 - 2 - 2)*(0 + 2 + 0)*(-4 + 3 - 1)*(4*c - c - 2*c).
4*c
Expand (-i - 2*i + 2*i)*(5 - 3 - 3) + 2 + 2*i - 2 + 5*i - 5*i - 2*i + 3*i + i - 2*i + (2 - 5 + 2)*(i + i - 4*i) + i - 3*i - 3*i - 3*i - 2*i + 7*i.
2*i
Expand (-10 + 10 - 5*r**2 + (4*r + r - 4*r)*(4*r - r - r))*(1 + 5 - 4).
-6*r**2
Expand (-4 + 6 - 4)*(4*h**4 + h**4 - 4*h**4 + (2*h**3 - 2*h**3 - 2*h**3)*(-5*h - 3*h + 5*h)) + (-4 + 0 - 1)*(-2 + 2 - 3*h**4).
h**4
Expand (2 - 1 + 0)*(4*b - 4*b - b**5).
-b**5
Expand (-4 + 1 + 4)*(-5*t + 3 - 3) - 3*t - 5 + 5.
-8*t
Expand (0*v**2 + 6*v**2 - 4*v**2)*(0*v - v + 2*v - 6).
2*v**3 - 12*v**2
Expand (0 + 1 + 0)*(0*w**3 + 2*w**3 - w**3) - 2*w**3 + 1 - 1 - 8*w**2 - 5*w**3 - 13*w**3 + 6*w**2.
-19*w**3 - 2*w**2
Expand (-3 + 2*m + 3)*(-4 + m**3 + 4) - 2*m**4 + 9*m**4 - 3*m**4.
6*m**4
Expand 3*g - 5*g - 3*g**2 + 0*g + (0*g**2 - 4*g**2 + 3*g**2)*(3 + 0 - 1).
-5*g**2 - 2*g
Expand (-3*g - 2*g + 0*g)*(-4*g + 3*g + 0*g).
5*g**2
Expand (-3*i**4 - 3*i**4 + 26*i**4)*(4 - 4 + 2*i).
40*i**5
Expand (0 + t**2 + 0)*(4 + 27*t - 4).
27*t**3
Expand (2*v**2 + 2 - 1 + 4*v - 3*v)*(-2*v + 2*v + 2*v**2)*(15 - 7*v - 15).
-28*v**5 - 14*v**4 - 14*v**3
Expand (-9*b**2 - b**3 - 2*b**2 - b**2)*(0*b**2 - 3*b**2 + 4*b**2).
-b**5 - 12*b**4
Expand (3*k + 2*k - 4*k)*(2 + 9 + 0) + 2*k - 5*k + 2*k.
10*k
Expand (2 - 2 + 3*j)*(2*j**3 - 4*j**2 + 4*j**2) - j**4 + 4 - 4 + 0*j**4 + 3*j**4 - 5*j**4.
3*j**4
Expand (-1 - 1 + 4)*(0*l + 0*l + l**2) + (-5*l + 5*l - 2*l)*(4 - 4*l - 5 + 3*l).
4*l**2 + 2*l
Expand (3 + 2*x - 3)*(x**3 + 10*x**3 + 3*x**3)*(-3*x + 2*x + 2*x).
28*x**5
Expand (1 - 2 - 1)*(1 - 2 + 0)*(-11*p + 1 + 1 - 8*p).
-38*p + 4
Expand (3 - 6 + 2)*(-a**4 + 2*a**4 - 3*a**4) + 49*a + 29*a**4 - 49*a + a**4 + a**2 - a**2.
32*a**4
Expand ((0*s**2 + 2*s**2 + s**2)*(3*s - 4*s + 0*s) + 3*s**3 - s**3 - s**3)*(s - s + s).
-2*s**4
Expand -3 + 3 - 2*y**4 + 19*y**4 + 29 - 29 + (0*y**2 + 2*y**3 + 0*y**2)*(-y + 0*y + 2*y).
19*y**4
Expand (2*j + 8 - 8)*(5 - 3 - 6).
-8*j
Expand ((5*l**3 - 2*l**3 - l**3)*(-2 - 1 + 5) - 4*l**3 + l**3 + l**3)*(-4 + 2 - 2).
-8*l**3
Expand (q**3 - 3*q**3 + q**3)*(5 - 3 + 0) + 0*q**3 - 2*q**3 - q**3 - 6*q**3 + q + q + 4*q**3.
-7*q**3 + 2*q
Expand -2*r**4 + 1 - 1 + (-4*r + r + r)*(1 - 2*r**3 - 1) + 2*r**4 - r**4 + r**4 - 4*r**3 - 4*r**4 + 4*r**3 + (-2*r**2 + 2*r**2 - 3*r**4)*(1 - 1 + 1).
-3*r**4
Expand (2 - 5 + 2)*(39*y - 20*y + 12 - 20*y).
y - 12
Expand 4*g**3 - 3*g**3 + 4*g**3 + (2 + 0 + 0)*(3 + 2*g**3 - 3).
9*g**3
Expand (-85*t**4 + 3*t**2 + 35*t**4 + 40*t**4)*(-3 + 3 - 2*t) - 3 - 2*t**5 + 3.
18*t**5 - 6*t**3
Expand (-2*s - 3*s - s**4 + 24*s)*(-6 + 4 + 0).
2*s**4 - 38*s
Expand (-5*m + 4*m + 0*m)*(0*m - 2*m - 3*m) + (-2*m + 2*m + m)*(-m + m + m).
6*m**2
Expand (m + m - 4*m)*(-2 + 4 + 0) + 0*m - 18*m + m.
-21*m
Expand (0 + 3*d + 0)*(5 - 5 - 2)*(1 - 3 + 3*d + 0).
-18*d**2 + 12*d
Expand (-v**4 - v + v)*(0 - 1 + 6)*(-3*v + v + 0*v).
10*v**5
Expand b - 2*b**4 - b + (-1 + 4 - 4)*(2*b**4 - b**3 + b**3).
-4*b**4
Expand (2 + 1 - 4)*(3*a + 3*a - 5*a)*(6*a + 0 - 2*a - 2).
-4*a**2 + 2*a
Expand (-v - 2*v + 5*v)*(2 - 6*v - 1 + 0)*(0 + 0 + 2).
-24*v**2 + 4*v
Expand (4*q - q - 2*q + (-2 - 2 + 2)*(-2*q - q + 2*q) - 1 - q + 1 + 4 - 4 + 2*q)*(1 - 2 + 0).
-4*q
Expand (-n - 2*n + 4*n + (2 + 1 - 5)*(-3*n - 3*n + n))*(2*n + 2*n - 3*n).
11*n**2
Expand (-2*l + 8 - 8)*(-1 - 2 + 4).
-2*l
Expand (6 + 2*j**2 - 6)*(3 - 2*j**2 - 1 + 0 - 5*j).
-4*j**4 - 10*j**3 + 4*j**2
Expand (-6*f - 7*f**4 + 6*f)*(f + 0*f - 2*f).
7*f**5
Expand (-2*c + 0 + 0)*(-6 + 0 - 11).
34*c
Expand (4 - 2 + 0)*(2 + 1 - 1)*(z - z - z)*(-13*z + 13*z + 17*z**2).
-68*z**3
Expand 7*s**2 - 2*s**2 - 3*s**2 + (1 + 3*s - 1)*(-3*s + 3*s - s) - 2*s**2 - s**2 + s**2.
-3*s**2
Expand (4*j - 4*j - 2*j)*(j**2 + 2*j**2 - 13*j**2).
20*j**3
Expand -2*o**2 - o**2 + 4*o**2 + (o + o - o)*(-5 - o + 5) - 4*o**2 + 2*o**2 + o**2 + 8*o - 8*o + 4*o**2.
3*o**2
Expand ((-2 + 2 + j)*(6 - 2 - 2) + 22 + 7*j - 22)*(3*j - 3*j - 3*j**2).
-2 | {
"pile_set_name": "DM Mathematics"
} |
st to -2/7? (a) x (b) -3 (c) -4
b
Let h = 2.0181 - 0.0181. What is the nearest to -4 in h, -4, 2/5, 0.014?
-4
Let g = 639635/598972 - -4/13613. Let s = 2710 - 29830/11. Let d = g + s. What is the closest to 0 in -0.2, d, 2/3?
-0.2
Let q = 55 + -54.9. Let d = -11 - -10. Which is the nearest to 3? (a) q (b) 0.3 (c) d
b
Let c = -0.52 - -0.76. Let p = 0.06 + c. What is the closest to 3 in 1, -4, p?
1
Let y = -0.0078 - -49.1078. Let d = y + -49. What is the nearest to d in 0.3, -5, -4/7?
0.3
Let j = -292.6 + 271. Let b = j + 22. What is the closest to 1/4 in b, -4, 1?
b
Let q be 4/(80/(-4))*1. Let y = -609/65 + 114/13. What is the closest to 0 in y, -1/8, q?
-1/8
Let w = 0.2 - 0.3. Let y = w - 0. Let z = 1.75 + -2.75. Which is the nearest to z? (a) y (b) 0.3 (c) 2
a
Suppose 30*n = 15*n + 75. Which is the closest to -0.1? (a) n (b) -12 (c) -4
c
Let t = 81.246 - 1.146. Let x = 80 - t. What is the closest to 1 in 0.1, 2/5, x?
2/5
Let m be (30/(-9))/((-3)/(-9)). Let q(z) = -z - 12. Let h be q(m). Let b be (h + 6)*2/(-12). What is the closest to b in -4, 0.4, -5?
0.4
Let w = -224 + 222.93. Let l = 1 + w. What is the nearest to 1 in l, 2/3, 1/4?
2/3
Let n = -5.7 - -6. Let c = 23 + -30. Let a = -9 - c. What is the nearest to 1 in a, n, 1/2?
1/2
Suppose 15*m - 14*m + 21 = -5*p, 5*m - 25 = p. Which is the nearest to 1? (a) -0.4 (b) 9/5 (c) m
b
Let g(s) = 50*s - 305. Let n be g(6). Let d = -1.2 - -0.3. Let j = d - -1. What is the closest to j in 0, 1/7, n?
1/7
Suppose q + 4 = -3*w, -5*w + 8 = -6*w + 3*q. Which is the closest to w? (a) -2/3 (b) -0.06 (c) 0.5 (d) 2
a
Let z = -0.3 + 0.2. Let y = -21.59 + 2.59. Which is the nearest to -1/2? (a) z (b) y (c) -0.2
c
Let k = -211 - -198. What is the nearest to 2 in -1, k, -4?
-1
Let f = -0.5948 + 0.0948. What is the nearest to 1 in 30, -1, 0.5, f?
0.5
Suppose -2*u - 7 = -g, 2*g + 24 = -3*u - g. Which is the closest to 0.1? (a) u (b) -1/7 (c) -3
b
Let s = -1 - 4. Let o = 46 - 45.9. What is the nearest to -0.1 in 1/3, o, s?
o
Let g = 104 - 102. Let j = -0.12 + 5.12. Which is the closest to g? (a) -3 (b) 0.4 (c) j
b
Let g = 0.228 - 2.228. Which is the nearest to -1/4? (a) 0.2 (b) g (c) -2/5
c
Let h be (-1)/(-5) + 28/(-140) + -4. What is the closest to 2 in h, -0.5, 2, 7?
2
Let p(n) = 6*n + 69. Let z be p(-12). Let v = -7.1 + 7. What is the closest to v in 1, 2, z?
1
Let i = -2 + 3. Let f = 130 + -131. Which is the nearest to -2/7? (a) f (b) i (c) -0.2
c
Let d be 6/(3 - (420/8)/7). Which is the nearest to 4? (a) -1 (b) -1/7 (c) d
b
Let r = 1.21 + -1.01. Which is the closest to -2? (a) r (b) -0.5 (c) 1/4
b
Let y = 611/7 - 87. Let n = -51 + 57.4. Let p = 7.4 - n. Which is the nearest to y? (a) 0.3 (b) p (c) 3
a
Let j = -2214 + 2226. What is the nearest to -0.1 in j, 0, 0.5, 1?
0
Let k be -2 - (-2 - -8 - 4). Let t = 0.06 - 3.06. Let d = t + 3.5. Which is the closest to 0? (a) -5 (b) k (c) d
c
Let l = -21.08 - -21.18. Which is the nearest to l? (a) -2/5 (b) 0.1 (c) -1.6 (d) -4/5
b
Let w = 1 + 3. Let y = 0.023 - -0.047. Let g = 0.47 - y. What is the closest to -3 in -5, g, w?
-5
Let f be 247/585 + 2/(-10). Let y = 3.8 + -4.2. What is the nearest to f in 6, -2, y?
y
Let k = 0.072 - -0.028. What is the nearest to 0.4 in -1, -3, k?
k
Let j = 0.6 + -0.1. Let c = -1172 - -1173. What is the nearest to c in 2, j, 0.1?
j
Let p = -0.456 + 0.086. Let i = p + -0.63. What is the closest to -1 in i, -0.3, -0.4?
i
Let k = 34 - 34.034. Let p = -0.466 + k. Which is the closest to -3? (a) p (b) -0.1 (c) 3
a
Let n = 80 + -83. Let k = 3.1 - 3. What is the nearest to n in k, 1/12, 2?
1/12
Let w = 4 - 3. Let q = 2446 - 2442. Which is the nearest to -0.2? (a) -4 (b) q (c) w
c
Let u be (3*-2)/(78/(-44)). Let t = -360/91 + u. Let g = 25 - 24. Which is the closest to g? (a) -0.3 (b) t (c) -1
a
Let o = 0.1 + -0.3. Let q = o - 0. Let w = 469 - 467. What is the nearest to 0.3 in w, q, 0.5?
0.5
Let c = 258 - 258.07. What is the closest to -1 in -3/2, 4, c?
-3/2
Let o = 10.4 - 3.46. Let z = -17 - -10. Let w = o + z. Which is the nearest to -2/5? (a) w (b) -5 (c) 0.4
a
Let n = -0.07 - -3.07. Let z = n - 4. Let i = 45 + -44.7. Which is the nearest to z? (a) i (b) -0.5 (c) 1
b
Let q be 2/8 + (-9)/4. Let c be 74/112 + 3/(-72)*9. What is the nearest to 0 in q, 0.6, c?
c
Let z = -219/7 - -1957/63. What is the nearest to -24 in 4, z, 0.5?
z
Let i = 280/321 + -22/107. Let d = 41/6 - 275/42. Which is the closest to d? (a) i (b) 5 (c) 1/3
c
Let c = 0.16 - -2.84. Let m = -2.82 + 0.82. Let q = 0.03 + -0.06. What is the nearest to m in 1, q, c?
q
Let v = 30609 + -91825/3. Let g = 2.2 + -2. Which is the nearest to 0.02? (a) g (b) v (c) 0
c
Let i = -4.29 + 4.6. Let z = i + -2.91. Let y = z - -3.6. What is the closest to 2 in 2, -0.1, y?
2
Let w = 303 + -303.1. Which is the closest to -1/2? (a) w (b) -5 (c) 16
a
Let w = -43 + 131/3. Let d = 0.59 + 0.01. Let j = d + -0.7. Which is the nearest to w? (a) -1 (b) j (c) 1/5
c
Let k = -80 + 84. Which is the closest to -1? (a) -0.06 (b) -4 (c) k
a
Let q(s) = -s**2 + 5*s - 2. Let b be q(4). Let a = -4562.2 + 4562. Suppose h + 3*u + 0*u = 2, 3*h - 3*u + 6 = 0. What is the nearest to h in b, a, -2/9?
-2/9
Let z = 970 - 5023/5. Let j = -35 - z. Let l = -53 - -53.06. What is the closest to l in 5, -1, j?
j
Let l = -134 - -140. Which is the nearest to -2/7? (a) -1/3 (b) 0 (c) l
a
Let u = -2741 - -2740. Let w = -15 + 43/3. Which is the closest to w? (a) u (b) -0.4 (c) -5
b
Let j = -0.24 + -1.76. Which is the closest to 1? (a) 0.3 (b) 0.03 (c) j (d) -4/9
a
Let y be (-29)/29 + 22/14. What is the closest to 0.2 in 1, y, -0.1, 0?
0
Suppose 5*y = 5*k - 40, 13*k - 17 = y + 9*k. Which is the nearest to y? (a) -2 (b) 2/9 (c) 0.3
a
Let h = -2699 + 2676. Which is the closest to 3? (a) -3 (b) -1/3 (c) h
b
Let k = -0.2 - 2.8. Let f = 73 + -42. Let h = f - 29. What is the nearest to 0 in h, 0, k?
0
Let o = -252 - -252.4. Which is the nearest to -1? (a) -1/3 (b) o (c) 5
a
Let y = 20.27 - 21. Let h = -0.93 - y. What is the closest to 0.2 in -3/4, h, 2/9?
2/9
Let u = 0.288 - 0.238. What is the nearest to 1 in -5, 0, u, 4?
u
Let s = -2.5 + 2.4. Let z = -2.773 + -0.227. Which is the nearest to z? (a) s (b) -2 (c) -1/2
b
Let o = -3/17 - -49/85. Let h be (-1)/14 - 36/(-63). Which is the closest to o? (a) -1/2 (b) h (c) -18
b
Let o be (4/42)/((-1)/(-3)). Which is the nearest to 0? (a) 2/19 (b) o (c) -4/3 (d) 3/4
a
Let k = 80.2 - 68.2. Which is the closest to 1? (a) k (b) 0 (c) -4 (d) 0.3
d
Let s = 19 + -13. Let j be ((-1)/s)/((-9)/(-24)). Suppose -20*t + 0*t = -20. What is the nearest to t in 2/17, 0, j?
2/17
Let h = 541/36 - 61/4. Let x = -29 - -28. Which is the closest to x? (a) 3 (b) h (c) -6/7
c
Let o = 1.52 + -1.12. Let i = -0.3 + 0.4. Which is the closest to -1? (a) -1/6 (b) o (c) i
a
Let x = -74 - -75. Let r = 79 - 1029/13. Which is the nearest to x? (a) 1 (b) r (c) -2
a
Let d = -2.4 + 2.358. Let r = -2.958 + d. Which is the nearest to -1? (a) -4 (b) -6 (c) r
c
Let u = -0.2 - -0.2. Let l = 242.2 + -224. Let v = 18 - l. Which is the closest to -1? (a) v (b) u (c) -1/2
c
Let f = -1326 + 1325.3. Which is the closest to f? (a) -5 (b) 1/8 (c) -3
b
Let t be (-20)/78*27/15. Which is the closest to 0.1? (a) -4/7 (b) t (c) -1/5
c
Let r = 0.7 - 0.2. Suppose 2*f + 0*f = 2*k + 4, 0 = -5*f - 5. Let i = 195 - 781/4. What is the nearest to 1 in k, i, r?
r
Let q = 625 + -625. Which is the nearest to q? (a) 5/6 (b) 3/11 (c) -2/11
c
Let z = 1/3 + 1/6. Let l = 8749.99 + -8750. Which is the nearest to z? (a) l (b) 0.2 (c) -0.3
b
Let h be 1*78*23/69. Suppose 4*x + h = 17*x. What is the nearest to -4 in x, -2, 0.1?
-2
Suppose -3*j - 40 = 5*j. Which is the closest to -2? (a) 1/10 (b) -1 (c) 3/5 (d) j
b
Let d = 163 - 179. Let r = -0.237 + 16.337. Let n = d + r. What is the nearest to n in -2/5, 1, -0.3?
-0.3
Let o = -23 + 67/3. Let g = 989 + -990. What is the closest to o in 1, 0.09, g?
g
Let s = -131 - -124.1. Let z = -49 - -56. Let p = z + s. What is the closest to 1 in -2/3, p, -5?
p
Let s = 0.341 + -0.341. What is the nearest to s in -5/9, -0.5, -0.2?
-0.2
Let r = -959 + 957. Which is the nearest to 0.03? (a) -3 (b) -1 | {
"pile_set_name": "DM Mathematics"
} |
*-1 + 3.
-82
Simplify (sqrt(18)/(-4*sqrt(216)))**2 - ((5*sqrt(144) - sqrt(144))/sqrt(8))/sqrt(6).
-4*sqrt(3) + 1/192
Simplify (sqrt(96)/(-2*-1*sqrt(12) - sqrt(12)))/(-1*sqrt(576)*5).
-sqrt(2)/60
Simplify 4*(sqrt(28) + sqrt(56)/sqrt(2)) + 4 + -1*((sqrt(7) + sqrt(7) + -1 + 2 - sqrt(7)) + (sqrt(7) - (sqrt(847)*-1 + sqrt(847))**2)).
3 + 14*sqrt(7)
Simplify (-4 + (sqrt(90) - (sqrt(90)*2*1 - sqrt(90)))/(-2*sqrt(20)))**2.
16
Simplify 0 + (-1 + (sqrt(80)/(-1*sqrt(5)))/(sqrt(32)/sqrt(4)*-2))*3.
-3 + 3*sqrt(2)/2
Simplify sqrt(11) + (sqrt(704) + 0)**2 - (2*sqrt(66))/sqrt(6) - sqrt(121)/(sqrt(99)*-2)*-5.
-11*sqrt(11)/6 + 704
Simplify -2*(sqrt(6) + 1*sqrt(6))/sqrt(2) + (sqrt(18) - (-1*sqrt(162) + sqrt(18)))/sqrt(6).
-sqrt(3)
Simplify -3*(sqrt(324) + sqrt(324)*3 + sqrt(324))/(sqrt(588)*3) + -2.
-15*sqrt(3)/7 - 2
Simplify (4 + sqrt(192) + (sqrt(192) + 2 + sqrt(192))*2 + 2)**2*4*5.
16000*sqrt(3) + 98000
Simplify ((-3*(sqrt(114) - sqrt(114)*1 - sqrt(114)) + sqrt(114) - 5*(sqrt(114) + -2*sqrt(114)))/(sqrt(36)/(4*sqrt(150) - sqrt(150))))**2.
346275
Simplify -3*(sqrt(864)*-1)/sqrt(8)*-6.
-108*sqrt(3)
Simplify -1 + -5 + (4*(sqrt(140) + sqrt(140)*-2 + sqrt(140)) + sqrt(140))/(sqrt(7) + 2*sqrt(700)).
-6 + 2*sqrt(5)/21
Simplify (sqrt(105)/sqrt(5))/sqrt(7) + -4 + (-4*sqrt(3)*-2 - (sqrt(15)/(sqrt(5)*1 + sqrt(5)) - sqrt(3))).
-4 + 19*sqrt(3)/2
Simplify (sqrt(36)*-1*-3 + sqrt(36) + sqrt(360)/(sqrt(10)*1))/((sqrt(72)*-2)/sqrt(6) - sqrt(12) - sqrt(12)*-2*-1).
-sqrt(3)
Simplify ((sqrt(1944) - 4*sqrt(1944)*-2)/((sqrt(1452) - (sqrt(1452) + -3*sqrt(1452)*6)) + sqrt(1452) + sqrt(1452) - sqrt(1452)))**2.
13122/43681
Simplify ((sqrt(1620)*5)/(4*sqrt(324)))**2.
125/16
Simplify -4*2*4*(1 + sqrt(11) + 0)*5*1.
-160*sqrt(11) - 160
Simplify (3 + sqrt(19) + 0 + sqrt(19) + 2 + sqrt(19))**2 - 2*sqrt(171)*-4.
196 + 54*sqrt(19)
Simplify ((-5 + (sqrt(18)/sqrt(6) - sqrt(3)))*-2)**2 + -6*(sqrt(27) + -1).
-18*sqrt(3) + 106
Simplify ((sqrt(130) - sqrt(130)*2)*-1)/(sqrt(10) + sqrt(50)/sqrt(5)*6 - sqrt(10)).
sqrt(13)/6
Simplify sqrt(176) + (sqrt(176) - (4*sqrt(176) - sqrt(176))*2) + (sqrt(176) - (2 + sqrt(176)) - sqrt(176))**2*-1.
-180 - 32*sqrt(11)
Simplify 4 + ((sqrt(40)/sqrt(2))/sqrt(4) + -4 - (((sqrt(90)/sqrt(3))/sqrt(6) - sqrt(5))**2 + (1 + sqrt(245))**2)).
-246 - 13*sqrt(5)
Simplify (sqrt(272)*-2 + sqrt(272) + -5 - (sqrt(272) - (sqrt(272) + sqrt(272) + (sqrt(272) + -4 + sqrt(272) + 3 - sqrt(272))) - sqrt(272)))**2.
-96*sqrt(17) + 1124
Simplify 2*((3*sqrt(4896))/(sqrt(24)/sqrt(48)))**2.
176256
Simplify (6*(sqrt(66)*1 + sqrt(66)) - sqrt(66))/(sqrt(18)/(sqrt(12)/sqrt(4))).
11*sqrt(11)
Simplify (-5*(sqrt(252) + -1)*4 + 5)**2*6 + -1.
-36000*sqrt(7) + 608549
Simplify ((-4*sqrt(5103))/(sqrt(9) + 1*sqrt(9)*-6))**2.
9072/25
Simplify -5 + (3*sqrt(539)*-2 - (sqrt(66)/(-2*sqrt(6)) + -2)**2).
-44*sqrt(11) - 47/4
Simplify (-1*(-2*sqrt(396)*-2 + (-1 + sqrt(1584))*3))**2.
-360*sqrt(11) + 39609
Simplify ((sqrt(88) - (sqrt(88) + sqrt(88)*1*6 + sqrt(88))) + -2*1*sqrt(88))/(1*(4*sqrt(16)/sqrt(2) - sqrt(8))).
-3*sqrt(11)
Simplify 6*((((sqrt(105) - 3*(1*sqrt(105) + sqrt(105))) + sqrt(105))/sqrt(3))/(sqrt(605) + sqrt(605)*-1 - -1*sqrt(10)/sqrt(2)))**2.
672
Simplify (-5 + sqrt(396) + 0 + sqrt(396))**2 - -4*sqrt(1584)*-5.
-360*sqrt(11) + 1609
Simplify (sqrt(660)/(sqrt(11) + sqrt(1100)))/(sqrt(432) - (sqrt(432)*-5 + sqrt(432)) - sqrt(432) - sqrt(12) - sqrt(12))*6.
3*sqrt(5)/121
Simplify (2 + (sqrt(605) - (sqrt(605) + -2 + sqrt(605))) + sqrt(605) + 2*sqrt(80) + -3 + 5)**2.
96*sqrt(5) + 356
Simplify (-1 + sqrt(18))*6 + (-2 + (sqrt(2) - (sqrt(2) + -5 + sqrt(2) + 1)))**2.
14*sqrt(2)
Simplify -2*(((sqrt(176) + sqrt(176)*4)/sqrt(11))/(-2*sqrt(800) + sqrt(8)))**2.
-100/361
Simplify (-6*(((2*sqrt(175))/sqrt(5) - sqrt(35)) + sqrt(35))/((2*sqrt(25))/sqrt(5)))**2.
252
Simplify (4*sqrt(45)*-3)/((sqrt(504)/sqrt(8))/sqrt(7)).
-12*sqrt(5)
Simplify -5*(-1 + ((sqrt(245) - (sqrt(245)*-1 + sqrt(245))*-6)*1)**2).
-1220
Simplify -2*(2 + (sqrt(18)/sqrt(6))**2 - 4*(3 + sqrt(3))).
8*sqrt(3) + 14
Simplify ((sqrt(1452) + (sqrt(1452) - -2*sqrt(1452) - sqrt(1452)) + sqrt(1452))/(2*sqrt(4)*2))**2.
363
Simplify ((-2 + sqrt(1700)*4 + 2)*5)**2.
680000
Simplify (-1 + (1 + ((sqrt(605) + -2 + sqrt(605))*-6 - sqrt(605)))*-5)**2.
-94380*sqrt(5) + 2560481
Simplify ((sqrt(1764) + (sqrt(1764) - -2*sqrt(1764)) + sqrt(36) + (sqrt(396)*-2)/sqrt(11))/(sqrt(60)/(sqrt(15)/sqrt(3)) + 5*sqrt(12)*-2))**2.
27
Simplify (sqrt(420)/sqrt(7)*-5 + sqrt(60))/(sqrt(12)*-2*4).
sqrt(5)/2
Simplify 2*(4 + (-4 + sqrt(68))**2*3)*-3.
-1536 + 288*sqrt(17)
Simplify (sqrt(204) + -1*sqrt(204)*3 + sqrt(204))/sqrt(12) + 0 + -5*(sqrt(68) - (sqrt(68) - (sqrt(68) - sqrt(68)*1)))*4.
-sqrt(17)
Simplify (sqrt(2205)*2)**2 + sqrt(2205) + 2 + ((sqrt(270) + (sqrt(270)*2 - sqrt(270))*3)/sqrt(6))**2.
21*sqrt(5) + 9542
Simplify (4*sqrt(170)*-2*5)/(sqrt(360) - sqrt(80)/(2*sqrt(8) + sqrt(8))).
-120*sqrt(17)/17
Simplify ((-4 + -6*(sqrt(245) + -1))*-2)**2.
-672*sqrt(5) + 35296
Simplify (-6*2*sqrt(972) - sqrt(972))/(sqrt(45)/(sqrt(20)/sqrt(4)) + -2*sqrt(9)*-2).
-78*sqrt(3)/5
Simplify 5*(sqrt(14)/sqrt(2)*-3 - (4*(sqrt(112))**2 + sqrt(7))) + (sqrt(1260)*-1)/sqrt(5) + 0.
-2240 - 26*sqrt(7)
Simplify ((sqrt(480)*1 + sqrt(480) - sqrt(480))*3)/(((1*sqrt(40) + sqrt(40) - sqrt(40))*6)/sqrt(4)) + 1.
1 + 2*sqrt(3)
Simplify ((2*sqrt(7) + sqrt(7))*1 + (sqrt(224)/sqrt(4))/sqrt(8) + sqrt(28)/(-2*sqrt(256)))**2.
27783/256
Simplify ((1*sqrt(77)*6 + sqrt(77))*-3)/(-6*(-6*(sqrt(28) - sqrt(7)) + sqrt(7))).
-7*sqrt(11)/10
Simplify (((sqrt(9) + sqrt(36))*4)/(-2*sqrt(3)*-6)*-1)**2.
3
Simplify 5*-2*(sqrt(2299)*1 + sqrt(2299)) - (-5 + 4 + sqrt(2299)*1).
-231*sqrt(19) + 1
Simplify (1*((-1 + sqrt(13) + 4 - sqrt(13) - (sqrt(468) - sqrt(13))) + -4))**2.
10*sqrt(13) + 326
Simplify (sqrt(176) + -3 + sqrt(176) + 2 + 2 + (-2 + sqrt(176) + -1)*6)**2.
-1088*sqrt(11) + 11553
Simplify -5*(sqrt(10) + sqrt(40)/sqrt(4)*-2)/(sqrt(5)*4*-3).
-5*sqrt(2)/12
Simplify (6*(1 + sqrt(245)) - (sqrt(245) + (2 + -2*sqrt(245) - sqrt(245) - sqrt(245)) + sqrt(245)) - ((1 + sqrt(245) - sqrt(245))*1 + -4))**2.
784*sqrt(5) + 15729
Simplify (4*sqrt(700))**2 - (3 + (0 + sqrt(7))*-4).
4*sqrt(7) + 11197
Simplify 5*(-3 + (sqrt(187) + sqrt(187)*-4)/sqrt(11))*1.
-15*sqrt(17) - 15
Simplify -6*(((sqrt(17) + 1)*-5 + 4)*5 + -5) + -5.
55 + 150*sqrt(17)
Simplify ((sqrt(68)*-3)**2 + (sqrt(85) + 1*sqrt(85))/sqrt(5))*2 + 2.
4*sqrt(17) + 1226
Simplify (1*sqrt(14)*-1 - 2*sqrt(504))/(sqrt(28)/(sqrt(484) + (sqrt(484)*2 - sqrt(484)))).
-286*sqrt(2)
Simplify 5 + sqrt(20) - (sqrt(20)/sqrt(2))/sqrt(2) - ((-3*(sqrt(5) - sqrt(45)))**2 + -2).
-173 + sqrt(5)
Simplify 0 + ((sqrt(2) + sqrt(2) + 4)*1)**2 + sqrt(8)/(sqrt(100) + sqrt(100)*5).
481*sqrt(2)/30 + 24
Simplify (-3*(sqrt(77) - 3*sqrt(77)))/(sqrt(700)*1 + sqrt(700)).
3*sqrt(11)/10
Simplify (5*(sqrt(108) - 4*(1 + sqrt(108) - sqrt(108))) + -2 + sqrt(3) + 2 + (-3*sqrt(21))/sqrt(7) + sqrt(3))**2.
-1160*sqrt(3) + 2923
Simplify ((sqrt(180))**2 - sqrt(5)) + sqrt(45) + 4 + ((1*sqrt(500)*-3)**2 - (-2 + sqrt(500)*2)).
-18*sqrt(5) + 4686
Simplify -6*((-3 + sqrt(153)*-3)**2 + ((sqrt(51)*3)/sqrt(3))**2*-5).
-3726 - 324*sqrt(17)
Simplify ((sqrt(28) + sqrt(28) + -1 + sqrt(28))**2 - sqrt(28) - -1*(sqrt(7) - -2*sqrt(7))**2) + (6*(sqrt(448) + 2))**2.
1138*sqrt(7) + 16588
Simplify (sqrt(150)/(sqrt(6)*2) + (sqrt(25) - (sqrt(400) + sqrt(25)))*-6)/(1*sqrt(20) + sqrt(15)/sqrt(3)*-4).
-49*sqrt(5)/4
Simplify (-5*(5 + sqrt(275) + -3)*4 + 4)**2.
7200*sqrt(11) + 111296
Simplify (2*-6*(sqrt(320) + -2 + sqrt(320)))**2 + -5 + -6*(sqrt(320) + -1 + sqrt(320) + sqrt(320)).
-9360*sqrt(5) + 184897
Simplify ((sqrt(56) - (sqrt(2016) - 2*sqrt(2016)))*-5)/((sqrt(32) + sqrt(8))*6 + sqrt(72)/sqrt(36) + sqrt(8))*-5.
350*sqrt(7)/39
Simplify (-2*sqrt(1053) - sqrt(1053))*-5 - (-4 + (sqrt(156)*-1)/sqrt(12)).
4 + 136*sqrt(13)
Simplify (-5 + ((0 + sqrt(44) + sqrt(44))*-6 - (1 + sqrt(11) + -1)*-1))*-5.
25 + 115*sqrt(11)
Simplify 5 + (-1*(0 + sqrt(704)))**2*-4*-5.
14085
Simplify -3 + sqrt(1216)*3 + (3*(sqrt(95) - -3*sqrt(95) - sqrt(95)))/sqrt(5).
-3 + 33*sqrt(19)
Simplify ((-1*sqrt(2299)*5 - sqrt(2299)) + (sqrt(2299) + -3)*-2)**2*-3*-6.
-19008*sqrt(19) + 2649096
Simplify (((sqrt(396))**2 - sqrt(11))*-3 + sqrt(11) - ((sqrt(11) - (sqrt(275))**2) + 4)) + (6*(-1*sqrt(88) - sqrt(88)))/ | {
"pile_set_name": "DM Mathematics"
} |
. Let v = -0.06 + d. Which is the smallest value? (a) v (b) 3 (c) k
a
Let p = -22.52 + 22. Let z = -0.22 - p. What is the biggest value in -1, z, 1/5?
z
Let j = -1 + 1.1. Let t = j + 0.3. Let q(k) = 2*k**2 + 5*k + 2. Let w be q(-3). Which is the second biggest value? (a) 3/4 (b) t (c) w
a
Let d = 3.4 - 4. Let u = 23 - 20.6. Let g = u - d. Which is the third biggest value? (a) g (b) 0.5 (c) 5
b
Let u be 1*(-269)/22*14. Let i = -171 - u. Let p = -2 + -2. Which is the second smallest value? (a) p (b) i (c) -1
c
Let w = -2207/9 - -245. Let u = w + 23/63. Which is the biggest value? (a) -3/7 (b) -3 (c) u
c
Let i be (-14)/(-63) + 92/(-90). What is the second smallest value in i, 2, -18?
i
Let l = 0.23 + -3.23. What is the third biggest value in l, 1, 2/7, 0.2?
0.2
Let y be 6/(-21) + 3/35. Let u = -1 + 1.2. Let s = 1.2 - u. What is the third biggest value in -1, y, s?
-1
Let f = -3 - -8. Let y = 25 + -12. Let t = y - 13. What is the third biggest value in -2/5, t, f?
-2/5
Suppose -2*h + 3*h = 4. Let x = 0.26 + 0.04. Let r = 254 + -1021/4. What is the third smallest value in x, r, h?
h
Let q = -83 + 79. What is the third smallest value in -0.4, -0.5, 2, q?
-0.4
Let v = 0 - 4. Let p = -98 - -98.1. What is the third smallest value in v, p, 5?
5
Let m = -4.64 - -0.08. Let r = m + 0.06. Let a = r - -4. What is the third smallest value in 2, 2/9, a?
2
Let d be (-3 - -2)*(-4)/22. Which is the third smallest value? (a) 0.6 (b) -5 (c) d
a
Let i be ((-1 - -2) + -2)*(-1)/3. Let m = 0.2 - 0. Let b = -1.2 + m. What is the second biggest value in -0.2, i, b?
-0.2
Let t = -70.5 - -71. Let r = 14 + -15.9. Let y = r - -2. Which is the second biggest value? (a) -5 (b) t (c) y
c
Let o = 14 - 12. What is the biggest value in -6, 5, o?
5
Let q = 0.4 - 0.1. Which is the third smallest value? (a) -3 (b) 0 (c) q
c
Let i = 3 - 3.07. Let z = i + -0.23. What is the second smallest value in 3/2, -5, z?
z
Let q = -4.24 - -0.24. Which is the second biggest value? (a) q (b) -4/5 (c) -0.4
b
Let o = -12.8 - -13.3. What is the third biggest value in -3, o, 0.04?
-3
Let o = -0.6 - -0.5. Let u = 2.1 + o. Let p = -5 + 3. What is the second biggest value in p, u, 5?
u
Let c = 4 + -5. What is the second smallest value in 2/5, c, 2/43?
2/43
Let i = 18 + -10. Let g = i + -9.2. Let r = g - -1. Which is the second smallest value? (a) r (b) 0.3 (c) 3
b
Let a = -35 + 39. What is the smallest value in -0.1, 0.2, a, 0.3?
-0.1
Let o = -38/21 + 7807/4326. Let c = o + -403/1854. Let q = 0.6 - 0.2. What is the third smallest value in c, 0.1, q?
q
Let f = 6.3 + -1.3. Let t = 52 + -74. Let y = t + 22. Which is the second smallest value? (a) y (b) -4/7 (c) f
a
Let i = -6 + 11. Let z = 0.877 + 0.123. Which is the second smallest value? (a) -1/3 (b) z (c) i
b
Let j = -0.02 - 0.28. Let q = j - -0.5. Let h be (-5)/(-6) - (1 + 0). What is the smallest value in q, h, 1?
h
Let v be (-26)/(-4) - 12/24. Let o be (-2)/v + (-7)/15. Which is the biggest value? (a) o (b) -1 (c) 0.4
c
Let z = 1.2 - 0.2. Let n = -0.5 + z. What is the third biggest value in -1, -3, n?
-3
Let k be (-2)/(-6) - 40/75. What is the second smallest value in 0.5, -1, k?
k
Let l = 0.05 - -0.25. Let j be (4 - 3)*4/(-20). Which is the smallest value? (a) l (b) -4 (c) j
b
Let n(g) = g**3 + 15*g**2 + 15*g + 15. Let f = 14 - 28. Let d be n(f). What is the biggest value in d, -3/8, 1/5?
d
Let s = -119/2 + 58. Let l = -31/4 + 17/2. Which is the second biggest value? (a) s (b) 5/2 (c) l
c
Let a = -2.9 + 2.94. What is the third biggest value in a, 0.1, 5?
a
Let s = -2 + 1. Let u = -433/5 + 87. Which is the second biggest value? (a) u (b) s (c) 5
a
Suppose 3*j - 3 + 0 = 0. Let r = 5 + j. Let f be 1 - (-9)/(r/2). Which is the second smallest value? (a) 0.4 (b) -0.5 (c) f
a
Let m = -557 - -11695/21. Let v = -17/3 + 5. Let t = 16/3 + -5. Which is the biggest value? (a) t (b) v (c) m
a
Let m = -8 - -7.7. Let k be (2/(-2))/((-5)/(-40)). Let r = k - -13. Which is the third smallest value? (a) -4 (b) m (c) r
c
Suppose -4*p + p = 72. Let v be (p/9)/(-4) - 0. Which is the third biggest value? (a) 2 (b) 5 (c) v
c
Let g = -171/2 + 84. Which is the fourth smallest value? (a) -0.4 (b) -0.01 (c) -5 (d) g
b
Let m = 6 - 5. Let h = 4 + -3.2. Let c = m - h. What is the second biggest value in -0.4, 2/9, c?
c
Let c = -0.35 + 0.25. What is the smallest value in c, 0.3, 4, 0?
c
Let n = -71 - -63. What is the third biggest value in 1/8, 2, n?
n
Let j = -0.05 - -0.55. Let f = -0.9 + j. Which is the second smallest value? (a) -2/9 (b) -2/15 (c) f
a
Let v = 1 + -0.5. Let m = 0.09 + 0.91. Which is the smallest value? (a) -4 (b) m (c) v
a
Let w(r) = r**3 + 2 - 2*r**2 - 2*r**2 - 7*r - 2*r**2. Let h be w(7). What is the second smallest value in h, 4, 0.1?
h
Let v = 56 + -56.3. Which is the smallest value? (a) -0.4 (b) -2/3 (c) v (d) -0.13
b
Let j = 2 - 2.7. Let f = j - -0.62. Let q = f + -1.92. What is the third biggest value in 0.5, q, -0.4?
q
Suppose -2*j - 50 = 22. Let r = j - -255/7. Suppose 23 = 3*s - 5*n, -s = 4*n - 6 + 21. Which is the biggest value? (a) s (b) 3/4 (c) r
a
Let w = 6.2 + 0.8. Let a = w - 9. What is the second biggest value in -4/3, a, -3/5?
-4/3
Let l = 0.07 + -0.27. Which is the biggest value? (a) l (b) -5 (c) -0.3
a
Let k = 14 - 14.07. Let u(m) = m**3 - 4*m**2 - 7*m + 6. Let r be u(5). Which is the smallest value? (a) r (b) k (c) 2
a
Suppose -32 - 28 = -3*i. Let j be i/16*1/(-5). Let k = -7 - -4. Which is the third biggest value? (a) k (b) 0.1 (c) j
a
Let q = -0.53 + 0.23. Let p(l) = -l - 2. Let j be p(-4). Let o be -4 - -2 - j*-1. Which is the second biggest value? (a) -4 (b) o (c) q
c
Let q = -1.4 + 1.1. Suppose 5*s - 3*t - 3 = -34, 2*s - t + 12 = 0. Which is the second biggest value? (a) s (b) -2/5 (c) q
b
Let x = -17 - -20. Which is the biggest value? (a) x (b) -3/2 (c) -4
a
Let t = 9/2 - 4. Let x(v) = v + 6. Let d be x(-7). Which is the third smallest value? (a) 5 (b) d (c) t
a
Let x = 30 + -29. Which is the biggest value? (a) -0.4 (b) x (c) -2/19
b
Let s be 43/((5*-12)/(-1)). Let w be 2 - 82/40*1. Let v = w + s. What is the third biggest value in v, -1, 0.2?
-1
Let c = -231968/9 + 25800. Let l = c + -26. Let o be 0 - 2*(-1)/17. What is the biggest value in l, 0.2, o?
0.2
Let r = -29 + 21. Let v = r - -7.8. Which is the smallest value? (a) -2/11 (b) 0.3 (c) v
c
Let u = -4 + 4.2. Let h = u + -0.2. Which is the smallest value? (a) -0.2 (b) 5 (c) h
a
Let l be 6/4 + 3 + -4. Let o = -0.6 + 0.2. What is the second biggest value in l, 0.1, o?
0.1
Suppose -2*s = -24 + 20. What is the second smallest value in s, -3, -2/19?
-2/19
Let i = 17 - 15.4. Let k = -0.2 + i. Let n = k - -0.6. What is the biggest value in 3, -0.3, n?
3
Let z = -5.1 + 5. Let p = 0.6 + -0.1. What is the biggest value in z, -5, p?
p
Let o = 1.6 + -1.86. Let s = 0.3 + o. Let d = 2.96 + s. Which is the third smallest value? (a) 1/3 (b) d (c) -0.3
b
Let u(i) = i**3 - 6*i**2 - i + 3. Let q be u(6). Let k be 0 - (0 + 0 - 1). Which is the smallest value? (a) k (b) -4 (c) q
b
Let k = -6 + 6.2. Let g = -0.13 - -6.13. Let v = g + -6.2. What is the third biggest value in v, k, -2?
-2
Let r = 0.2 - 1. Let k = 4.2 - r. Let y = -1 + k. Which is the second smallest value? (a) 2 (b) y (c) -2
a
Let w = -0.12 - -1.12. Which is the second smallest value? (a) 1.5 (b) w (c) 3
a
Let y = 2.5 - -0.5. Let z = 5 - 1. Which is the third smallest value? (a) z (b) -5 (c) y
a
Let o = 47 + -45.1. Let i = -1.4 + o. What is the second smallest value in -0.2, i, -2?
-0.2
Let v = 2.5 - 2. Let m = 0 - 1. Let h = m - 2. What is the second smallest value in h, v, -5?
h
Let n be (-42)/4*(-4)/6. Let k be 1/(-2)*(n + -5). Let z = 0.1 - -0.3. What is the third biggest value in -5, k, z?
-5
Let r = -44 + 47. Let o be (0 - 1)/((-1)/(-2)). Let s = -7 + 2. Which is the third smallest value? (a) r (b) s (c) o
a
Let o(x) = x. Let p be o(-6). Let q = 139 + -144. What is the third smallest value in q, p, -4?
-4
Let j = -3 + 2. Let n = -8 - -4. What is the second biggest value in j, n, -2/5?
j
Let o be (102/476)/((-3)/(-4)). Let p be 1 + -2*(-2)/8. What is the third smallest value in p, 0.4, o?
p
Let r = -3 + 3.9. | {
"pile_set_name": "DM Mathematics"
} |
the terms in 20929*l**3 - 41402*l**3 + 20787*l**3.
314*l**3
Collect the terms in -34669*r**3 - 96*r**2 + 69159*r**3 - 34481*r**3.
9*r**3 - 96*r**2
Collect the terms in 111*r - 188*r - 19*r.
-96*r
Collect the terms in 82*j**2 + 245*j**2 + 0*j - 88*j**2 + j + 207*j**2.
446*j**2 + j
Collect the terms in -954*z + 34 + 16 + 3817*z - 957*z - 955*z - 949*z.
2*z + 50
Collect the terms in -196201*o**3 - 54 + 109 - 55.
-196201*o**3
Collect the terms in -3851*j**2 + 146 + 352*j**2 + 79*j**2 - 146.
-3420*j**2
Collect the terms in 27886*r**2 + 16*r**3 - 27*r + 54*r - 27886*r**2 - 27*r.
16*r**3
Collect the terms in 26540*g + 24644*g + 1887 - 1887.
51184*g
Collect the terms in -32616547*k + 6*k**3 + 65233109*k - 32616562*k.
6*k**3
Collect the terms in 38796*g**3 - 97907*g**3 - 47348*g**3 - 42896*g**3.
-149355*g**3
Collect the terms in 125*j**2 + 23*j**2 - 48*j**2 - 31*j + 24*j + 8*j + 67*j**2.
167*j**2 + j
Collect the terms in -3*p**2 + 0*p**2 + 432580 + 107622 + 3*p + 4*p**2.
p**2 + 3*p + 540202
Collect the terms in 3655864*k**2 - 3655859*k**2 + 6*k**3 - 8*k**3.
-2*k**3 + 5*k**2
Collect the terms in -396*x**3 + 751*x**3 - 4 - 622*x**3.
-267*x**3 - 4
Collect the terms in -13*h - 688682 + 344415 + 344267.
-13*h
Collect the terms in 4964 + 17356*f + 4971 - 9935.
17356*f
Collect the terms in 241*c**2 + 235*c**2 + 248*c**2 + 14*c + 231*c**2 - 983*c**2.
-28*c**2 + 14*c
Collect the terms in -4*d + 75304 - 34587 + 60084.
-4*d + 100801
Collect the terms in 110*v**3 - 109245*v**2 - 109247*v**2 + 2*v - 2*v + 218492*v**2.
110*v**3
Collect the terms in -5605*o**2 - 1130*o**2 - 223 + 223.
-6735*o**2
Collect the terms in 330 - 330 - 42169*p.
-42169*p
Collect the terms in 484684*t**2 + 960732*t**2 - 31803*t**2.
1413613*t**2
Collect the terms in -58680 + 594842 + 7*c - 536162.
7*c
Collect the terms in -28 - 33488*v - 5 + 93009*v + 33.
59521*v
Collect the terms in 95*i + 8833 + 8965 - 26634 + 8836.
95*i
Collect the terms in 25265504218 - 2*y**2 + 0*y**2 - 25265504222.
-2*y**2 - 4
Collect the terms in -53*m**3 - 2*m**3 - 3*m**3 - 2*m**3 - 6*m**3 + 40*m**3.
-26*m**3
Collect the terms in -49*h**3 - 1316 + 4391 + 20*h**3 - 1537 - 1538.
-29*h**3
Collect the terms in -126093*k + 504328*k - 126097*k - 126082*k - 126059*k.
-3*k
Collect the terms in -1974 + 48*h + 1775 - h**3 - 48*h.
-h**3 - 199
Collect the terms in -6310*o + o**3 - 4980*o + 11290*o + 3*o**3.
4*o**3
Collect the terms in 1304997*q**3 - 2 - 819419*q**3 + 2 + 913125*q**3.
1398703*q**3
Collect the terms in -345275515 + 345275515 + 4*j**2 - 5*j.
4*j**2 - 5*j
Collect the terms in 32837230*m - 25*m**3 - 32837230*m.
-25*m**3
Collect the terms in 256 - 507 + 251 - 1969*r**2 - 3*r.
-1969*r**2 - 3*r
Collect the terms in -501*h - 349 - 1344 + 167 + 89.
-501*h - 1437
Collect the terms in -6769*g + 4813*g**2 + 3381*g + 3387*g.
4813*g**2 - g
Collect the terms in 319952*v + 319219*v - 641506*v.
-2335*v
Collect the terms in 62752774*f - 62752774*f - f**2.
-f**2
Collect the terms in 100970 + 2653 - 34*u**2 + 42153 - 31*u**2.
-65*u**2 + 145776
Collect the terms in 208895*w - 418267*w + 209374*w.
2*w
Collect the terms in -6*q**2 + 13*q + 15*q - 119*q**2 - 9*q + 123*q**2 + 17*q.
-2*q**2 + 36*q
Collect the terms in -118717*u**2 + 19283 + 118710*u**2 - 9634 - 9637.
-7*u**2 + 12
Collect the terms in 467*t - 903*t + 12*t**3 + 438*t.
12*t**3 + 2*t
Collect the terms in -35 + 71 - 16 + 22674*h - 20.
22674*h
Collect the terms in -60*n**3 + 123*n**3 - 85*n**3 - 75412*n**2 + 37704*n**2 + 37708*n**2.
-22*n**3
Collect the terms in 3079*l - 11115*l - 11644*l - 26318*l.
-45998*l
Collect the terms in 4731 - 2434 - 2318 - 6*c + 11*c - 6*c.
-c - 21
Collect the terms in -26753*u - 1761*u - 35391*u.
-63905*u
Collect the terms in 8479*w**2 - 213*w + 650*w - 219*w - 10705*w**2 - 218*w.
-2226*w**2
Collect the terms in 22*z + 69955810 - 139911677 + 69955839.
22*z - 28
Collect the terms in 1024*s**3 - 517*s**3 + 704*s**3.
1211*s**3
Collect the terms in -420*o**2 + 2624*o**2 - 5495*o + 5495*o.
2204*o**2
Collect the terms in -18750 + 3*r**2 + 198*r + r**3 + 18750.
r**3 + 3*r**2 + 198*r
Collect the terms in 122*l + 112*l + 123*l + 112*l - 548*l + 83*l.
4*l
Collect the terms in -11*q**2 + 95*q**2 - 8*q**2 - 4*q + 4*q - 86*q**2.
-10*q**2
Collect the terms in -111 + 2*i + 1425 + 1276.
2*i + 2590
Collect the terms in -11186*u**2 - 54 + 22383*u**2 - 36*u - 11196*u**2.
u**2 - 36*u - 54
Collect the terms in 105*d + 108*d - 509*d + 95*d + 107*d + 98*d.
4*d
Collect the terms in 2576*g**2 + 2390*g**2 - 4965*g**2 - 42*g.
g**2 - 42*g
Collect the terms in -7025 + 301*h**3 - 304*h**3 - 7015 + 14040.
-3*h**3
Collect the terms in 4752*s + 1053*s**3 - 4752*s + 759*s**3.
1812*s**3
Collect the terms in 24*p + 18*p - 4*p - 10*p + 5 + 18*p.
46*p + 5
Collect the terms in -3357*n**3 + 13 + 5*n**2 + 3*n**2 - 4*n**2 - 5*n**2.
-3357*n**3 - n**2 + 13
Collect the terms in 2371*w - 2353*w - 1704 - 1307.
18*w - 3011
Collect the terms in 19 - 39 - 134*i - 14*i + 20 + 7*i.
-141*i
Collect the terms in -10*o**2 + 406*o + 447*o + 2*o**2 - 4*o**2 + 450*o - 1303*o.
-12*o**2
Collect the terms in 1142*d**3 - 935*d**3 - 184*d**3.
23*d**3
Collect the terms in 99*w**3 - 311*w**3 + 205*w**3.
-7*w**3
Collect the terms in 10*i - 2*i + 10*i + 16*i - 95*i + 17*i + 46*i.
2*i
Collect the terms in -34*j - 96*j - 7*j**3 - 9*j**3 + 11*j + 119*j.
-16*j**3
Collect the terms in 234 - 112 - 12*b**3 - 65*b**3 - 122 - 21*b**3.
-98*b**3
Collect the terms in 2069459617 - 499*k - 2069459617.
-499*k
Collect the terms in -15369*f - 10 - 3 + 12 + 1.
-15369*f
Collect the terms in -13386 - 25*l**3 - 13386 - 19*l**3 + 26773.
-44*l**3 + 1
Collect the terms in 4*r + 51827*r**2 + 363192*r**2 + 285047*r**2.
700066*r**2 + 4*r
Collect the terms in -8*i**3 + 14*i**3 - 6*i**3 - 284*i + 9*i**3 + 14*i.
9*i**3 - 270*i
Collect the terms in 16*z - 1239 - z**2 + 1240 - 38*z + 22*z.
-z**2 + 1
Collect the terms in -426516*w - 426550*w + 853042*w.
-24*w
Collect the terms in -93*l + 32 - 20 - 162*l - 12 + 247*l.
-8*l
Collect the terms in -5383 + 201376 - 2*p + 18007 + 4*p.
2*p + 214000
Collect the terms in -159 + 161 - 64*c + 86*c + 78*c.
100*c + 2
Collect the terms in 253*p**2 - 245*p**2 - 20*p**2 - 2 + 3 - 3.
-12*p**2 - 2
Collect the terms in 9020*s**3 + 934*s**3 - 9956*s**3.
-2*s**3
Collect the terms in 181*q**3 + 133*q**3 + 159*q**3 + 152*q**3 - 666*q**3.
-41*q**3
Collect the terms in 144*m**2 + 54022 - 54119 - 145*m**2.
-m**2 - 97
Collect the terms in 228655*r - 457537*r + 228788*r.
-94*r
Collect the terms in 56847 + 0*t + 5*t + 56143 - 112992.
5*t - 2
Collect the terms in -5876*r**2 - 5877*r**2 - 6906*r**2 + 18660*r**2.
r**2
Collect the terms in -1866148*y**3 + 3732393*y**3 - 1866238*y**3.
7*y**3
Collect the terms in -20*b**2 - 430 + 210 + 218 + 12*b**2 + 6*b**2.
-2*b**2 - 2
Collect the terms in 136876318*a**2 + 136876323*a**2 - 273752638*a**2.
3*a**2
Collect the terms in 2232*j - 679*j - 777*j + 58 - 774*j.
2*j + 58
Collect the terms in -11*y + 66*y - 46*y - 9*y + 4*y**2.
4*y**2
Collect the terms in -2*p**2 + 1921481 + 1920991 - 3842472.
-2*p**2
Collect the terms in z**3 - 2580055350*z + 2580055350*z.
z**3
Collect the terms in -4 - 270*w**2 + 299*w**2 - 2134946*w + 2134946*w + 2.
29*w**2 - 2
Collect the terms in -37*m - 11488 + 11488 - 66*m.
-103*m
Collect the terms in -1904*m + 26 - 68 + 18 + 12 + 12.
-1904*m
Collect the terms in -8*p - 5*p - 16*p + 27*p + 583 - 9*p.
-11*p + 583
Collect the terms in -3*w + 51212370 - 4*w + 3*w**3 - 51212370.
3*w**3 - 7*w
Collect the terms in -762 - 755 - 40431*y + 1513.
-40431*y - 4
Collect the terms in 3757 + 3752 + 6*m - 15020 + 3752 + 3760 + m - 3*m.
4*m + 1
Collect the terms in 28489*a**3 + 28515*a**3 - 85515*a**3 + 28508*a**3 - 1 + 1.
-3*a**3
Collect the terms in 10 - 10 - 6505*c + 7091*c.
586*c
Collect the terms in -16 - 3 - 2 - 397*y - 2227*y.
-2624*y - 21
Collect the terms in 9*o - 6*o - 3*o + 95564*o**2.
95564*o**2
Collect the terms in 3468 - 2*p - 17383 + 3477 + 3465 + 3457 + 3516.
-2*p
Collect the terms in 327 - 228*s - 327 + 22*s - 566*s.
-772*s
Collect the terms in 6 + 9 + 59*t + 3 - 35.
59*t - 17
Collect the terms in 41*p**3 - 157*p**3 - 17*p**3 + 20*p**3 + p**2.
-113*p**3 + p**2
Collect the terms in 12963573 - 12963573 + 10414*j**3.
10414*j**3
Collect the terms in -380*n - 415*n + 2482* | {
"pile_set_name": "DM Mathematics"
} |
2/15
Calculate prob of picking 4 z when four letters picked without replacement from bzbbbbzzzbzb.
1/99
Four letters picked without replacement from vevuyeyyyyve. What is prob of picking 4 y?
1/99
Three letters picked without replacement from {d: 5, a: 2, s: 4}. Give prob of picking 1 s and 2 d.
8/33
What is prob of picking 1 d and 2 c when three letters picked without replacement from iiddcdiciccic?
15/143
Three letters picked without replacement from {e: 1, p: 7, a: 1}. What is prob of picking 2 p and 1 e?
1/4
What is prob of picking 1 f and 1 g when two letters picked without replacement from ngfucccccfncgg?
6/91
Two letters picked without replacement from ttzycysutztz. Give prob of picking 1 c and 1 y.
1/33
Two letters picked without replacement from iijewvwiwvijveee. Give prob of picking 2 v.
1/40
What is prob of picking 2 l and 1 s when three letters picked without replacement from {s: 1, r: 5, x: 1, l: 2}?
1/84
What is prob of picking 1 y and 1 i when two letters picked without replacement from igiigglwymiwiiimiiiy?
2/19
Four letters picked without replacement from {d: 5, x: 3}. What is prob of picking 1 d and 3 x?
1/14
Two letters picked without replacement from sfffffffsfsf. Give prob of picking 2 f.
6/11
Four letters picked without replacement from {y: 1, j: 5, z: 4}. What is prob of picking 1 z, 2 j, and 1 y?
4/21
Two letters picked without replacement from snhunhvu. What is prob of picking 1 u and 1 v?
1/14
Calculate prob of picking 3 x and 1 r when four letters picked without replacement from caxxrxgceaccegggre.
1/1530
What is prob of picking 2 k and 2 x when four letters picked without replacement from {x: 1, k: 11, d: 5}?
0
What is prob of picking 1 r and 1 c when two letters picked without replacement from {a: 2, s: 1, c: 5, r: 1, i: 1}?
1/9
What is prob of picking 2 x, 1 n, and 1 i when four letters picked without replacement from nilxpzx?
1/35
Four letters picked without replacement from {g: 7}. What is prob of picking 4 g?
1
Three letters picked without replacement from {c: 4, m: 2, e: 10, s: 3}. What is prob of picking 3 e?
40/323
What is prob of picking 1 g and 1 q when two letters picked without replacement from {g: 4, p: 3, q: 7}?
4/13
Four letters picked without replacement from erzqrrzzelljjze. What is prob of picking 2 r and 2 l?
1/455
Calculate prob of picking 1 n and 1 h when two letters picked without replacement from onnnhnhnnnnhhhh.
16/35
What is prob of picking 2 c when two letters picked without replacement from {c: 2, o: 1, m: 6, y: 2}?
1/55
Three letters picked without replacement from {p: 7, u: 2, l: 4, z: 3, o: 3}. What is prob of picking 2 z and 1 o?
3/323
Two letters picked without replacement from veevvvvvvvvvev. What is prob of picking 2 v?
55/91
Three letters picked without replacement from {a: 2, k: 1, v: 2, c: 1, z: 1}. What is prob of picking 2 k and 1 z?
0
Four letters picked without replacement from {n: 4, c: 2, y: 2}. What is prob of picking 1 n, 2 y, and 1 c?
4/35
What is prob of picking 2 h when two letters picked without replacement from {z: 8, c: 1, h: 4}?
1/13
What is prob of picking 1 y and 2 i when three letters picked without replacement from suusissusisusyh?
1/455
Four letters picked without replacement from {l: 2, e: 2, q: 6, b: 3, o: 2}. What is prob of picking 1 e, 2 q, and 1 o?
4/91
Four letters picked without replacement from rtttruuuwwrwuuuuua. What is prob of picking 2 t, 1 r, and 1 u?
2/85
Four letters picked without replacement from kkkwkkwkkkwkkkkkkwk. Give prob of picking 4 k.
455/1292
Calculate prob of picking 1 j and 2 s when three letters picked without replacement from {j: 1, q: 4, s: 5}.
1/12
What is prob of picking 1 u and 1 d when two letters picked without replacement from {o: 2, d: 2, k: 1, u: 1}?
2/15
Four letters picked without replacement from {h: 2, f: 4, q: 8}. Give prob of picking 1 h and 3 f.
8/1001
Calculate prob of picking 1 s, 1 l, and 1 z when three letters picked without replacement from bynzznzylylszy.
2/91
Four letters picked without replacement from mddmfgddadfmgmmdda. What is prob of picking 1 a, 1 d, 1 f, and 1 g?
14/765
What is prob of picking 1 m and 2 x when three letters picked without replacement from dxfdxxxjdxpfxpmpmmd?
15/323
What is prob of picking 2 s when two letters picked without replacement from sssssssssssssyssss?
8/9
What is prob of picking 3 a when three letters picked without replacement from {a: 4, h: 7}?
4/165
Three letters picked without replacement from jvvj. Give prob of picking 2 j and 1 v.
1/2
Calculate prob of picking 2 g, 1 l, and 1 w when four letters picked without replacement from ygkkklgwkk.
1/210
Four letters picked without replacement from uzzzh. What is prob of picking 1 h, 2 z, and 1 u?
3/5
Two letters picked without replacement from {k: 2, q: 1, h: 1, v: 1, y: 2}. Give prob of picking 1 y and 1 k.
4/21
What is prob of picking 2 e and 2 l when four letters picked without replacement from lllllllelllelellel?
91/510
Calculate prob of picking 1 i and 1 g when two letters picked without replacement from nddgnidgd.
1/18
Four letters picked without replacement from {n: 7, r: 2}. Give prob of picking 2 r and 2 n.
1/6
Two letters picked without replacement from {i: 3, l: 5, h: 4}. What is prob of picking 1 h and 1 i?
2/11
Four letters picked without replacement from ffufuffu. Give prob of picking 2 u and 2 f.
3/7
What is prob of picking 1 q and 1 z when two letters picked without replacement from gpzjqqjjqpppj?
1/26
Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {s: 2, n: 1, t: 1, f: 2}.
2/15
What is prob of picking 2 w when two letters picked without replacement from wbbwqwuqqbwqqbwb?
1/12
Two letters picked without replacement from {e: 2, q: 1, a: 1}. What is prob of picking 1 a and 1 e?
1/3
Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 5, e: 7, f: 1}.
5/78
Two letters picked without replacement from wmmmwmn. Give prob of picking 1 w and 1 m.
8/21
What is prob of picking 3 t and 1 b when four letters picked without replacement from tvzttbbbtntt?
4/33
What is prob of picking 1 j and 1 o when two letters picked without replacement from ulucclclloclluuj?
1/120
What is prob of picking 2 l when two letters picked without replacement from {a: 3, e: 3, l: 13, x: 1}?
39/95
Two letters picked without replacement from {z: 5, v: 1, t: 2, x: 6, h: 2}. What is prob of picking 1 x and 1 h?
1/10
Calculate prob of picking 1 t, 1 f, and 1 s when three letters picked without replacement from {p: 1, f: 1, s: 1, t: 5, d: 1}.
5/84
What is prob of picking 2 v and 1 x when three letters picked without replacement from {x: 1, z: 2, v: 14}?
91/680
What is prob of picking 1 s, 1 e, and 2 j when four letters picked without replacement from {j: 3, s: 4, e: 1}?
6/35
Three letters picked without replacement from apqak. What is prob of picking 1 q and 2 a?
1/10
What is prob of picking 3 k and 1 x when four letters picked without replacement from xvvkxcvjxvcvvvkxck?
1/765
Two letters picked without replacement from fddddptdttdddfttdf. What is prob of picking 1 p and 1 f?
1/51
Calculate prob of picking 1 d, 2 t, and 1 g when four letters picked without replacement from tdittdydgigt.
4/55
Calculate prob of picking 2 q and 2 p when four letters picked without replacement from {g: 1, t: 11, q: 4, p: 3}.
3/646
What is prob of picking 2 n when two letters picked without replacement from nxxxxxxxxxxnxxxxxxxx?
1/190
Four letters picked without replacement from {p: 1, m: 1, z: 2, g: 1, x: 1, b: 2}. What is prob of picking 1 p, 2 b, and 1 g?
1/70
Two letters picked without replacement from {l: 3, d: 3, x: 1, e: 2, g: 3, b: 1}. Give prob of picking 1 e and 1 x.
1/39
Four letters picked without replacement from diooiobos. What is prob of picking 1 b and 3 o?
2/63
What is prob of picking 3 l when three letters picked without replacement from llllllclclllcll?
44/91
Three letters picked without replacement from mgmgmmm. Give prob of picking 2 g and 1 m.
1/7
What is prob of picking 2 g and 2 v when four letters picked without replacement from {p: 4, g: 2, v: 2}?
1/70
Two letters picked without replacement from ngghgggsggghrag. What is prob of picking 1 a and 1 g?
3/35
What is prob | {
"pile_set_name": "DM Mathematics"
} |
q(f) = -70*f - 49. Let u(x) = 6*q(x) - 5*r(x). What is the tens digit of u(-8)?
9
Let o(w) = 39*w**2 + 53*w - 920. What is the hundreds digit of o(-34)?
3
Let d(f) = -9*f - 15. Suppose -20 = 13*h - 17*h, -3*y - 22 = -5*h. Let a be y/1 - 4/(-8)*-20. What is the units digit of d(a)?
6
Let h(d) = -218*d - 1020. What is the thousands digit of h(-33)?
6
Let z = -78 + 81. Suppose 0 = -4*c - 4*x - z + 15, 1 = 3*c - 5*x. Suppose -c*i + 4*k = -3*i + 195, -k = 2*i - 383. What is the tens digit of i?
9
Let a(y) = 3*y**2 - 3*y + 15. Suppose -53*i + 50*i - 21 = 0. What is the hundreds digit of a(i)?
1
Suppose 1110 = 4*m + 1086. Let i = 12 + -5. Suppose -3*g + 536 = i*p - m*p, -5*g - p = -892. What is the units digit of g?
8
Let k = 16953 + -10664. What is the hundreds digit of k?
2
What is the hundreds digit of (-75)/(3 - -12) + 6631?
6
Let l(s) = 12*s - 338. Let c be l(28). What is the tens digit of (-1 + 80 + c)*(47 + -23)?
4
What is the thousands digit of 15/(-9)*3 + (16945 - 23)?
6
Suppose -5*b + 2*v = -2259 - 2132, 4*b + 4*v = 3496. What is the hundreds digit of b?
8
Suppose -2075592 = 44*g - 6402200. Suppose 58*v - g = -4*v. What is the hundreds digit of v?
5
Let l(t) = 18*t + 48. Suppose 3*y - 8*y + 80 = 0. What is the units digit of l(y)?
6
Suppose 4*y - 38362 = -174*n + 172*n, -3*n + 5*y = -57532. What is the hundreds digit of n?
1
Let o(r) = 158*r**2 - 9*r + 25. Let j be o(-5). Suppose 57*q - j = 51*q. What is the hundreds digit of q?
6
Suppose 2*o + 29 = 5*b - 0*o, -15 = -5*o. Suppose 2*y + u = 6*u - b, 2*y - 2 = -4*u. What is the units digit of ((-108)/6)/(-6) - 145*y?
8
Suppose -4235 = -2*l - 5*s, -18*s = -4*l - 17*s + 8525. What is the units digit of l?
0
Suppose -4*y = -2*w - y + 1297, -3*w + 1978 = 2*y. Let r = w + -128. What is the units digit of r?
8
Let h = -167 - -68. Let w = h + 99. Suppose w = -4*d + 5*q + 237, -q - q - 309 = -5*d. What is the units digit of d?
3
Suppose -5*h - 52 = -227. Let w = h - 33. Suppose -2*d = w*b - 4, 0*d + 4*d = 2*b - 4. What is the units digit of b?
2
Let s = 521 + -363. Let l = s + -268. Let n = 77 - l. What is the tens digit of n?
8
Let h(j) = 28*j - 141. Let b(r) = -r - 1. Let y(v) = 3*b(v) + h(v). What is the tens digit of y(25)?
8
What is the hundreds digit of (192/(-40))/2*10980/(-3)?
7
Suppose 5*p + 9583 = w + 1756, 0 = 5*w - p - 39039. What is the thousands digit of w?
7
Suppose 1689 = 73*r - 72*r. What is the hundreds digit of (r/(-12))/((-22)/88)?
5
Suppose 2*c - 2 - 6 = 0. Suppose -j = 4*y - 8*y - 1243, -c*y = 3*j - 3793. What is the tens digit of j?
5
Suppose -4*r - 837 = -5*s + 1448, 4*s - 3*r - 1827 = 0. Let h = s - -196. What is the hundreds digit of h?
6
Let w = 1503 - 895. What is the units digit of (54/(-8))/((-114)/w)?
6
Let i = 7446 + -2433. What is the units digit of i?
3
Let p be -8*(-1)/(-2) + 8. Suppose -4*q + 1535 = 5*n, -2*n + p*n + q - 611 = 0. What is the hundreds digit of n?
3
Let p(w) = -4*w**3 - 2*w - 4. Let j be p(-2). Suppose -9*u = -j*u + 9591. What is the units digit of u?
7
Suppose -29107 + 11845 = -9*w. Let p = -1325 + w. What is the tens digit of p?
9
Let c(n) = -7*n + 2*n**3 + n**2 - 4*n**2 + n + 4*n - 7. Suppose s - 5*s = 2*m - 6, 9 = -3*m. What is the units digit of c(s)?
4
Let j(y) be the first derivative of -51*y**4/2 - y**3/3 - 2*y**2 - 3*y + 87. What is the tens digit of j(-1)?
0
Let q(o) = -8*o + 29. Let f be q(-17). Suppose f = m + c, 7*c - 3*c = 0. What is the tens digit of m?
6
Let v(h) = 202*h - 2028. What is the units digit of v(69)?
0
Let d = -218 + 218. Suppose 0 = 5*c - y - 5097, d = c + 3*y + 47 - 1060. What is the thousands digit of c?
1
Let x(k) = 3*k**3 + 143*k**2 - 8*k + 131. What is the hundreds digit of x(13)?
7
Let v be (-2)/4*(-1 - -2 - 171). Suppose 2*j - 357 = -v. Suppose -17*s + j = -13*s. What is the units digit of s?
4
Let j(b) = b**3 + 9*b**2 + 17*b + 11. Let w be j(-7). What is the tens digit of (28/w)/((7/215)/(-7))?
0
Suppose -13265 = -5*i + 2*v, i - 1334 = -v + 1326. What is the hundreds digit of i?
6
Let r = 19529 - 13468. What is the units digit of r?
1
Suppose -5*n = -5*y + 12300, -363*y + 364*y = 3*n + 2456. What is the tens digit of y?
6
Suppose 0 = -5*w + 5, 24 + 100 = -5*o + 4*w. Let t = o - -14. What is the tens digit of (t/(-2))/((-1)/(-3))?
1
Let w = -2 - -6. Let d be -2 + 12/4 + w. Suppose y = -y - 4*z + 40, -4*y + d*z + 67 = 0. What is the units digit of y?
8
Let m(f) = 0*f**2 + 11*f**2 + 0 - 2 + 7*f - 2. Let d be m(8). Suppose -3*z = 4*t - d, -z + 252 = 4*t - 2*t. What is the tens digit of z?
5
Let p = -137 - -137. Suppose p = 5*r - 325 - 1195. What is the units digit of r?
4
Suppose -5*h + 288 = -2*n + 3*n, -4*h = -2*n - 222. Let g = -52 + h. Suppose -10*t + 730 = -g*t. What is the hundreds digit of t?
1
Let b(u) = u**3 - 22*u**2 + 5*u + 34. Let n be b(23). Suppose -4*j + 4*x + n + 202 = 0, 230 = j + 4*x. What is the hundreds digit of j?
2
Suppose -27*a + 66071 = -21*a - 143455. What is the thousands digit of a?
4
Let j(f) = -358*f + 1716. What is the thousands digit of j(-14)?
6
Let h(y) = -12 + 14 - 87*y + 17. What is the units digit of h(-4)?
7
Let p(r) = -1509*r**3 - 6*r**2 + 7*r - 3. What is the ten thousands digit of p(-3)?
4
Let w(i) = i**3 + 30*i**2 - 64*i + 4. Let j be w(-32). Suppose j*f + y = 715, -2*f = -4*f + 3*y + 347. What is the units digit of f?
8
Suppose -65*m + 4468255 = 72*m. What is the ten thousands digit of m?
3
Let b(j) = -j**2 - 10*j - 17. Suppose p + 4*q - 21 = 4*p, -p - 7 = 5*q. Let m be b(p). What is the tens digit of -45*((-27)/18 - 6/m)?
3
What is the hundreds digit of ((-44)/24*(-56)/77)/((-1)/(-23139))?
8
Let o = -142 + 597. Suppose -z + o = 28. What is the tens digit of z?
2
Let p = 36 - 34. Let u be (-3 + 7/p)/(5/950). Suppose -3*k + u = a, 0 = -2*a - 3*a + 25. What is the units digit of k?
0
Let c = -89 - -91. Let j be (-7)/(14/544) + -2 + c. Let x = j + 410. What is the hundreds digit of x?
1
Suppose t + 3 = 0, 5*t = 86*r - 90*r + 11221. Suppose -4*v = 4*z - 3788, r = -3*v + 6*v - 5*z. What is the tens digit of v?
4
Let t(n) = -n**3 + 7*n**2 - 2*n - 12. Let a be t(6). Let j(c) = 3*c + 65. What is the tens digit of j(a)?
0
Suppose 3*o + 5*u - 5058 = 3857, -5*o - 3*u = -14837. Suppose 6*l = o + 959. What is the tens digit of l?
5
What is the tens digit of (-3)/2 + (189900/24 - 7)?
0
Suppose -p - 11 = -4*w, -4*p + 4*w + 0 = -4. Suppose 0 = z - 3*d - 520, -5*z + p*d + 1603 = -1007. What is the hundreds digit of z?
5
Let f = 26122 - 9334. What is the hundreds digit of f?
7
Let q(t) = -87*t**3 + 43*t**2 + 67*t - 9. What is the hundreds digit of q(-7)?
4
Suppose -214*n + 213*n - m + 5320 = 0, 0 = 2*n - m - 10625. What is the tens digit of n?
1
Suppose 0 = 7*c + 440 - 55. What is the units digit of (-11)/(c/20) - (-218 + 0)?
2
Let m(q) = -q**2 + 15*q + 110. Let w be m(-13). Let y = -221 + 41. Let v = y - w. What is the units digit of v?
4
Suppose -2*o - 2*p - 3996 = -5*o, -2*o = 10*p - 2664. What is the units digit of o?
2
Suppose -150*l + 92*l = 135*l - 7423166. What is the tens digit of l?
6
Let r = -15777 + 69593. What is the hundreds digit of r?
8
Suppose -92*h + 190*h - 92*h = 338334. What is the ten thousands digit of h?
5
Suppose -3*n + s + 4 = 0, -n + 3 + 17 = -5*s. Let o = n + -6. What is the units digit of (-3)/(-18) - 593/o?
9
Suppose -18186 = -38*x + 37*x - 2*y, -4*y + 18186 = x. What is the units digit of x?
6
Let k(r) = -14*r**2 + 365*r - 40. What is the units digit of k(25)?
5
Let f(b) = -21*b - 48. Let q = -41 - -33. Let g be f(q). Suppose -85 - g = -5*k. What is the tens digit of k?
4
Let r(n) = 12*n**2 - 2*n + 2. Let q be r(1). Let u = -137 + -1057. What is the hundreds digit of 0 + (8/q)/((-4)/u)?
1
Suppose -4*l + 538 = -w, -5 = -18*l + 19*l. Let y = -312 - w. What is the hundreds digit of y?
2
Let t(h) be the third derivative of -3*h**4/8 + 2*h**3/3 - 22*h**2. Let n be t(-8). Suppose -4*w + n = l, 0*w + 3*w = 2*l + 57. What is the tens digit of w?
1
Let t(q) = -4*q**3 + 5*q**2 + 18*q - 11. Let d = 362 - 368. What is the units digit of t(d)?
5
Let a(h) = -h - 6. Let r be a(-9). Let z(l) = 2850 + l + 3*l**2 - 9*l**r - 2846 + l**2. What is the units digit of z(-2)?
0
Suppose 0 = 8*x - 3*x + 3*m - 47409, 9465 = x - 5*m. What is the thousands digit of x?
9
Let a be 6/10 + | {
"pile_set_name": "DM Mathematics"
} |
. Let q = 4267.1 - 4267. Let x = -19/18 - -5/9. Which is the nearest to q? (a) -1 (b) w (c) x
b
Let y be -7*(9 - 26728/2968). What is the closest to y in -1/10, 0.5, -3, 0?
0
Let t = 34 - 100/3. Let z = -3.3307 + -0.0793. Let o = -2.91 - z. Which is the nearest to t? (a) 2 (b) -4 (c) o
c
Let j = -85 - -148. Let i = -61.9 + j. Let f = i + -1.3. What is the nearest to f in -0.5, 1, 2/7?
-0.5
Let u = 0.99 - -0.01. What is the closest to 1/3 in u, -4, 3, -2/243?
-2/243
Let q = 31 - 12. Let w = q - 31. Let p be (3/(-3))/(16/w). Which is the closest to 0.3? (a) 0.4 (b) -2 (c) p
a
Let p be (-14)/(-18) - 1 - (-272366)/(-788256). Let i = p - 1/272. What is the nearest to 2/7 in i, -1, 1/5, 0.8?
1/5
Let q = -276.3 + 307. Let l = 30.3 - q. What is the nearest to -1 in l, -5, 1/8, 0.1?
l
Let m = 67.3 - -11.2. Let r = -80.5 + m. Let b = -0.9 - -1. What is the closest to 2/3 in b, -0.09, r?
b
Let l(w) = -w**3 - 5*w**2 + 67*w + 336. Let d be l(-5). What is the closest to -2 in 1/2, 0.2, d?
0.2
Let p be 1/(-4) - 7/(-20). Let s = -105525.9 + 105526. Which is the closest to s? (a) 1/6 (b) p (c) 1/2
b
Let r = -37 + 272. Let j = r + -232. Which is the closest to -0.1? (a) j (b) 0.4 (c) 1/2
b
Let a = -0.39 + 16.79. Let f = -4.4 + a. What is the nearest to -0.3 in f, -2/13, 3/4?
-2/13
Suppose 7*v + v + 16 = 0. Let l be v/5 - (2 + -2). What is the closest to 2 in -2, l, 3?
3
Let y = 214.964 + 0.836. Let h = 216 - y. What is the nearest to -2 in h, -1/5, 2.1, -5?
-1/5
Let r = 39815 - 39801. Which is the nearest to -7? (a) 3 (b) r (c) -39
a
Let v = 2529.9 - 2530. Which is the nearest to 0? (a) 4 (b) -2/5 (c) v
c
Let t be (184/(-69) + 4)/((-2)/3). What is the nearest to -9 in t, 3, -0.3, 1/8?
t
Let z = 19.65 + 4.25. Let v = z + 76.1. Let j = -99.9 + v. Which is the nearest to -0.1? (a) -20 (b) j (c) 5
b
Suppose i + r = 0, -25 = -3*i + r - 5. Let z = 4 + -3.97. Let t = 193/6 - 959/30. Which is the closest to t? (a) i (b) 4 (c) z
c
Let m be -4 + (-6)/15 - (4 - 8). What is the nearest to m in -8, -0.4, 71?
-0.4
Let y = -68.4 - -71. Let d = 2.8 - y. Which is the closest to -0.6? (a) 2/17 (b) -5 (c) d
a
Let r = -82.9 - -82. Which is the nearest to 1? (a) 2/11 (b) r (c) -2/13 (d) 1
d
Let x = 0.03 - 5.03. Let v = -418 - -1253/3. What is the nearest to 0 in v, 1.4, x?
v
Let z = 842 + -841.8. Let a = -6 - -6.5. Let n = -4 + 4. What is the nearest to -2/5 in a, n, z?
n
Let y = 2193.1 - 2192.9. What is the nearest to 32 in 2/11, -24/5, y?
y
Let p be (-132)/1089*(-102)/(-2). Let m = -6 - p. Which is the nearest to 0.2? (a) 0.07 (b) 0.2 (c) m
b
Suppose 2*i - 8*l = -16, -4*i = -6*l + 5*l + 2. Which is the nearest to 5? (a) i (b) -4 (c) 2/5 (d) -12
c
Let i = 251.53 - 255. Let q = i - -1.47. Let m be (-2 - -1 - 0)*1. Which is the closest to m? (a) q (b) -3 (c) 5
a
Let l = 10621 + -10622. Let t = -0.02 - -0.05. Let y = t - -2.97. Which is the nearest to y? (a) 2/11 (b) l (c) 1
c
Let l be (218/7)/(-2) - (-12)/21. Let n(d) = -d**2 - 13*d + 37. Let p be n(l). Which is the nearest to 1/2? (a) -1/3 (b) -3/5 (c) p
a
Suppose -7*r - 14 = 0, 0*r + 6 = 5*o + 2*r. What is the closest to -0.016 in 1, -13, o, 5?
1
Let y be ((-18)/54)/((-5)/1). Which is the closest to -2/5? (a) y (b) -0.4 (c) 15
b
Let z be 132/144 + (40/(-15) - -2). Let i = -16 - -15.1. What is the closest to i in -2, z, -1, -5?
-1
Let x = 0.04 + -18.04. Let t = -32 - x. What is the closest to -0.2 in 0.4, t, 1/2?
0.4
Let h = -0.08387 - -9.08387. What is the closest to -103 in -0.2, h, 5?
-0.2
Let l = -0.05 + -2.95. Let y be (-2)/(-7) + (-15)/(-21). Let k(p) = p**3 + 13*p**2 + 43*p. Let g be k(-6). Which is the nearest to y? (a) -2 (b) g (c) l
a
Let f = 73.85 - 67.85. Suppose 2*q + q = 9. Which is the closest to f? (a) -4/5 (b) 1 (c) q
c
Let q = -0.262 - -3.262. Let w = q - 2.8. Which is the nearest to 0.3? (a) w (b) -0.4 (c) -1.2
a
Let h = 20873 - 20871. What is the closest to 40 in -2/3, -3, h, -5?
h
Let x(r) = 23*r + 78. Let u be x(-4). Let d = 0.3 - -0.7. Let n(j) = j**2 - 9*j + 18. Let s be n(6). Which is the closest to 2/7? (a) d (b) s (c) u
b
Let j = -664 + 662. Let t = -42 + 42.21. Let x = t - -0.19. Which is the nearest to 2? (a) j (b) 2 (c) x
b
Let l(a) = 27*a**2 - 8*a - 37. Let v be l(-4). Let r = v - 2133/5. Let z = 1.6 + -1.3. What is the nearest to 1 in r, 12, z?
r
Let x = 1298 + -1298.4. What is the closest to 2/9 in 5, 1, 0.4, x?
0.4
Suppose -6*d + 0 = -8*d + 4. What is the closest to d in 1, -149, 5?
1
Let f = 196 + -156. Let q = 51 - f. Let h = -5.9 + 6. Which is the closest to -0.1? (a) q (b) 0 (c) h
b
Let u be (29/(-29))/(2/(-4)). Let p be u/(-3)*(-5)/60*-27. What is the nearest to 0.1 in p, -1/2, -0.23?
-0.23
Let t(z) = 3*z**2 - 201*z - 1075. Let x be t(72). What is the nearest to -2/91 in x, 0.4, 10?
0.4
Let q = 87 - 45. Let t(r) = -14*r. Let i be t(-2). Let z be ((-90)/i + 3)*q/(-4). Which is the nearest to 1/4? (a) -0.4 (b) z (c) 0.2
c
Let w be (-11)/9 + 2 + -1. Let d = 4531 - 4524. What is the closest to 0 in -1, d, w?
w
Let p = -0.34 - -0.3. Let m = 3178 + -3178. What is the nearest to 2 in m, p, -1?
m
Let d be 17/357*(29 - 38). Let l be (4/10)/((-119)/35). What is the nearest to 0.1 in -0.1, -1, l, d?
-0.1
Let p be 2/3*(-45)/24. Let v = 390 + -592. Let m = v - -201. What is the closest to m in -2/7, p, -3?
p
Let g = -1805.9 + 1805.7. What is the nearest to g in -0.06, 3, -3/11, -4?
-3/11
Let b = -6059 - -6058. What is the closest to b in 217, -3, -5?
-3
Let f = -0.008772 - 1.791228. Let b = -0.3 - -0.3. What is the closest to -2 in f, -3, b?
f
Let l = -31265 + 93793/3. What is the nearest to -2/7 in 25, l, 0.9?
l
Suppose -5*x + 2*n = -221 - 404, -5*x = 5*n - 625. Let z be 10/x*5/(-3). Let g = 23/2 + -12. What is the closest to g in z, 2/5, 4?
z
Let r = 0.045 - -2.055. Let g = -2 + r. Let w be ((-27)/(-6) - 5)*-2. Which is the closest to w? (a) -0.5 (b) -4 (c) g
c
Let q be -2 + (0 - 1) - 7602/(-21). Let s = -356 + q. Which is the nearest to s? (a) -5 (b) -4 (c) 4
c
Let f = -682 + 765.8. Let w = f - 2.8. Let l = w - 85. Which is the nearest to 0.1? (a) l (b) -2 (c) -3
b
Let j = 89/54 + -77/54. What is the nearest to 0 in 5, j, -0.5, -14?
j
Let u = 1227 - 1227. Let q = 176 + -174. What is the nearest to q in u, 5, -0.4, 0.01?
0.01
Suppose 0*f - 2*j = -4*f - 1636, -f = 2*j + 404. Let m be f/119 - (-3)/1. Which is the closest to -1/4? (a) m (b) -3 (c) 9
a
Suppose 0 = 3*w - 15, -42*j + 3*w - 25 = -47*j. What is the closest to -4 in j, 0.03, -2, 0?
-2
Let o = -15416 - -15417. Which is the closest to o? (a) -7 (b) 2 (c) -0.1 (d) -5
b
Let j be ((-1)/(-2))/(1/(-6)). Let s = -3 - j. Suppose 50 = 1917*t - 1907*t. Which is the closest to 4? (a) -2/17 (b) s (c) t
c
Let h be -1 - (-6 + 3 - 13). Let z = 465 - 467. Let m = 7.7 + -12.7. Which is the closest to 1? (a) m (b) z (c) h
b
Let v = 20951 - 20946. Which is the closest to -1/2? (a) -190 (b) 0.1 (c) v (d) 1/6
b
Let o = -26 + 23. Suppose 0 = -7*a + 4*a - 2*l - 22, -4*l = 2*a + 12. Let f be (-1)/(-2)*a/24. What is the closest to -3 in f, -0.2, o?
o
Let c be -27 + (-1 - -2) - 2. Let u = c + 48. Suppose 0 = -5*g + 9*g - u. What is the nearest to 2 in 0, g, 1/5?
1/5
Let c = 5475 - 5474. What is the nearest to c in 0.07, 4, -2/19, -3/2?
0.07
Let n = -10258/11 - -932. Let i = -1 - -1.1. Let h = 0.472 - -4.528. What is the nearest to 13 in h, i, n?
h
Let n = 2 + -5. Let d = -0.0385 + -0.9615. Which is the closest to d? (a) 0.3 (b) n (c) -1/8
c
Let u = -4 + 4. Let y be 51/(-60) + 3 + 36/(-15). Let j = -0.014 - -0.214. Which is the nearest to u? (a) y (b) 0.5 (c) j
c
Suppose v - 29 = -a - 112, -2*v = 5*a + 163. Let r = -251/3 - v. What is the closest to r in 1/5, 5, 0.5?
1/5
Let z be (-8)/(-6)*54/48. Let o(s) = 3*s + 2. Let n be o(-2). Let y(l) = -1573*l - 1574. Let r be y(-1). What is the nearest to 0.2 in r, z, n?
r
Let n be 8/(-28) + 592/14. Let p be ((-14)/147)/(18/n). Which is the closest to 2/5? (a) -3/4 (b) p (c) 0.1
c
Let r = 1151.3 - 214.3. Let i = 940.035 - r. Let v = i + -0.035. Which is the nearest to 0.1? (a) -3 (b) 10 (c) v
c
Let q = 6093 + -6092.1. Which is the nearest to 0? (a) -2/11 (b) q (c) -42
a
Let g be 2/(10 - 4/2). Let d = -144216.87 + 1 | {
"pile_set_name": "DM Mathematics"
} |
j + 0*j = 10*w + 65 for w.
-3
Solve -t - 12*f = -0*t + 29, 5 = 3693*t - 3692*t - 5*f for t.
-5
Solve 37*h + 5*c = -225, h - 47*c - 192 = -30*c - 61 for h.
-5
Solve 2*l + 4 = 4*s, 5*s + 935 - 928 = 4*l for l.
8
Solve 0 = -1879129*g + 1879132*g - 5*l + 2, -5*l - 18 = 2*g for g.
-4
Solve 5*w - 26*i + 1 = -34*i - 11, 0 = -5*w - 3*i - 17 for w.
-4
Solve j - 34 = -11*h - 3, -j - 4*j - 4*h = -53 for j.
9
Solve 3*i - 6*w = -129, -2*i - 2*w + 0 = -15 + 113 + 6 for i.
-49
Solve 0 = 2*h - 116*q + 113*q - 4, 2*h - 4*q = 47 - 41 for h.
-1
Solve a + 18 = -3*d - 12, 2866*a - 59 = 7*d + 2872*a for d.
-11
Solve 300478 = 4*g + 3*q + 300515, 5*g + 114 - 3 = -13*q for g.
-4
Solve 303823*h - 303826*h + 2*q = 101, 0 = h - 3*q + 43 for h.
-31
Solve 0 = r - 2*r - 4*f + 84 - 54, -27 + 129 = 4*r + 34*f for r.
34
Solve 9*p + p - g = 9*p + 25, 155 = 3*p - 7*g for p.
5
Solve -22 - 49 = s, -25*k - 269 = -36*k + 16*k + 3*s + s for k.
3
Solve -549*y = -3*d - 550*y - 58, -2*d = 41*y - 163 for d.
-21
Solve -32*i = 2*k - 7043 + 7195, 0*i + 125 = -2*k - 5*i for k.
-60
Solve 452*z = -2*l + 450*z - 10, -4*z - 30 = 5*l for l.
-10
Solve -4*h = -4*z - 7294333 + 7294425, -z - 100 = -10*z + 3*h + 119 for z.
25
Solve g = -5*n + 36, -4*g + 84*n - 85*n + 171 - 46 = 0 for g.
31
Solve 101*s + 51*s - 1 = 210*s - 57*s - g, 3*s + 38 = 10*g for s.
4
Solve -2*p + 3*t - 20280 + 20279 = 0, t + 5 = 2*p for p.
4
Solve -423605 + 423579 = 6*k + 2*y, -2*k - 9*y = 192 for k.
3
Solve -353*a + 700*a - 345*a = 5*x + 18, 3*a + 6*x = -27 for a.
-1
Solve -w - b = -2*b + 15, -27*b + 22*b + 20 = 5*w - 45 for w.
-1
Solve -55 = -5*n + 5*r, -2*r + 98 = -9*n + 106 for n.
-2
Solve 232*l - 2*p = 235*l - 1, -3*p = l + 2 for l.
1
Solve -2*z + 2*z + 5*d + 110 = 0, -1322*z + 73 = -1327*z - 4*d for z.
3
Solve 22*s - 43 = 23*s - 3*u + 21, u + 93 = -3*s - 99 for s.
-64
Solve 3*n = 2*x + 177, 0 = -7213584*x + 7213581*x + 8*n - 465 for x.
-3
Solve 0*x + 3*x + 2*h - h = 26, -24*x - 7*h = -24*x - 35 for x.
7
Solve -29 = -2*j - 2*r - 59, 0 = -3*j + 15*r + 261 for j.
2
Solve -2*i + 4*i + 8 = -p + 2*i - 3*i, 3*i + 20 = 2*p for p.
4
Solve x = 6*f - 168, 70*f - 34*x + 32*x - 109 = 1851 for f.
28
Solve -177*j - 2*z = -166*j - 257, 4*j + 4*z = 100 for j.
23
Solve -4*z - 5*h - 14 = 0, h - 322 = 88*z - 170*z for z.
4
Solve -3*f + 5*g = 155, -381*g + 759*g + 315 = -5*f + 375*g for f.
-60
Solve 5*l - 15 = 0, 4*i - 9*l - 90 = -39 + 42 for i.
30
Solve -3*z + 46 = 1639*m - 1635*m, m - 16 = -3*z for z.
2
Solve -3*s - 7007 = -2*g - 7026, 9 + 16 = -3*g + 4*s - 2 for g.
-5
Solve 124403*r = 124405*r + 4*m + 62, 11*r + 21*r + 3*m = -199 for r.
-5
Solve 4*t - 91954 + 92026 = 5*p, -4*p + 2*t = -60 for p.
16
Solve 0*g = 4*h - 5*h + 6*g + 46, 2*h - 63*h - 3*g = -175 + 690 for h.
-8
Solve w + 10 = -4*j, -165*w - 2*j + 34 = -94*w - 75*w - 16*j for w.
2
Solve 9*j = 57823*u - 57827*u + 24, -4*j + 1 = 5*u for u.
-3
Solve 5*m - 19 = -3*y, m + 2*y = 81 - 80 for m.
5
Solve -4*m - 48*v - 6 = -47*v, -135*v + 130*v + 15 = 5*m for m.
-3
Solve -4*c - 51 = -3*i - i + 9, 0 = -2*c + 6*i - 82 for c.
-2
Solve 6*x + 21 = -5*r, -126*x + 5*r - 18 = -125*x + 3 for x.
-6
Solve -19*s = -6*s - 3*v + 223, 1 - 7 = s + 2*v for s.
-16
Solve -r + 5*d + 30 = 0, 5*r - 107*d = -149*d - 252 for r.
0
Solve 107*f - 102*f = 4*o - 77, -7*f - 71 = -4*o for f.
3
Solve -2*g + 3817 = b + 3815, 0 = 14*b + 4*g + 92 for b.
-8
Solve w + 140573*l = 140572*l + 5, 3*l + 57 = 5*w for w.
9
Solve 4*x - 11197 = 5*b - 11228, 0 = -2*b + 124*x - 110 for b.
7
Solve -1819*w + 1216*w - 4223 = u, 4*w + 26 = u for u.
-2
Solve -32*f - 14 = 3*a - 35, -11*a - 7 = 4*f - 7*f - 12*a for f.
0
Solve 2*t + 116202*u - 116203*u = -2*t + 5, 19*t = -u + 18 for t.
1
Solve 2*g - v + 46 - 17 = 0, -3*g + 58*v = 57*v + 41 for g.
-12
Solve -y + 2*c + 32 = 0, -2*y + 115188 = -c + 115136 for y.
24
Solve -61*w + 4*o = -450 + 1544, o = 38*w - 33*w + 89 for w.
-18
Solve 18*y = -3*c + 25*y - 18, 3*y - 4 = 3*c - 2*c for c.
-13
Solve 4*t = 26*v - 46, -4*v + v - 5*t - 28 = -6*v for v.
1
Solve -2449*w + 2*c = -2421*w + 196, 2*c - 2 + 9 = -w for w.
-7
Solve s = -236519*n + 236524*n + 5, -2*s = 2*n + 14 for n.
-2
Solve 5*f - 12 = 2*f, -16*a - 13*a + f = -24*a + 39 for a.
-7
Solve 6*p - 240*q + 269*q + 178 = 9*p - 40, 5*p = 4*q + 53 for p.
5
Solve 0 = -3*k - 9*a + 91 - 130, -8*a - 34 = 3*k for k.
2
Solve -2*j = 4*q + 44, j + 42 = -22699*q + 22701*q - 2*j for q.
-3
Solve 118*p - 123*p = -0*h - 5*h + 15, -1014*p = 2*h - 1029*p - 71 for h.
-2
Solve 818 - 802 = 3*g - 4*g - 5*r, -4 = 2*g + 32*r - 29*r for g.
4
Solve -232*p + 5*b + 10 = 0, -110*p - 3*b = -214*p + 108*p + 6 for p.
0
Solve 0 = 7*l - 5*l - 0*l - i - 3, -i - 3 = 5*l for l.
0
Solve 8*f = 4*c - 60, -375*c = -376*c + 5*f + 33 for c.
3
Solve k + 2*p = 22 - 7, 3*k - 1692*p = -1695*p + 36 for k.
9
Solve -6*s + 5*a + 324 - 319 = -s, 2*s + 2*a = a - 4 for s.
-1
Solve -11*c - 36 = 2*m, -74*m + 216*m = 76*m + 68*m - 5*c + 4 for m.
-7
Solve 0 = -p - 4*p - 25, 59 - 3 = -5*c + p + 31 for c.
-6
Solve -3*l - 6256*p - 42 = -6259*p, -7*l - 4*p = -89 for l.
3
Solve 890*p = -3*y + 2*y + 893*p - 4, 5*p - 1 = -6 for y.
-7
Solve -5*k + 40 = 3*t, -t + 4*k = 93 - 129 for t.
20
Solve -2*n - 28 = -p, -3*p - 30*n + 38*n + 114 = 0 for p.
-2
Solve 4*m + 6*m - 25 = 5*m, 6*b + 6*b - 385 = -5*m for b.
30
Solve 8*l + 9*v = -3*v - 52, -3*l - 75 = 20*v + 3 - 13 + 32 for l.
1
Solve -p + 8*n - 48 + 44 = 12*n, -n = -5*p + 22 for p.
4
Solve 567*c = 556*c + 2*i + 90, -c - i - 71 = 0 for c.
-4
Solve 10354*h + 3*p - 2*p = 10349*h - 2, -4*h - 5*p + 53 = 0 for h.
-3
Solve 2912*w - 12 = 1449*w + 1466*w, 4*w - 77 = m for m.
-93
Solve 5 = -3*r - 4*k, -4 - 5 + 8 = -2*r + 4*k + 29 for r.
5
Solve -31*b + 4*i = -461, -5*b + i = -17 - 57 for b.
15
Solve 7*t - 12*t - 122 = -q + 5*t, -3*q = 2*t + 18 for q.
2
Solve -5*j + 24 = 12*w - j, 4*w - 6*j = 17*j - 18*j + 65 for w.
5
Solve -5*n - r - 749 = -549, 112*n + 5*r = -4480 for n.
-40
Solve -1548*u + 1546*u = 4*b + 60, -115 = b + 3*u for b.
5
Solve -3*o - 114 + 46 = -2*n, n + 521*o = -0*n + 5*n + 522*o + 4 for n.
4
Solve 4*g = -4*j - g - 32, -16*j + 15*j + g - 8 = 0 for j.
-8
Solve 0 = -w - 5*k + 120 - 140, -4*w + 16 = -3*w - 7*k for w.
-5
Solve -17*y - 29*y - 3*s = -45*y - 11, -5*y + s = 9 for y.
-1
Solve 113*d - 109*d - 324 = 16*o, -99 = 5*o + d for o.
-20
Solve d - 2*g + 7 = -0*g, -21*g + 253 = -2*d - 2*d + 13*g + 43 for d.
7
Solve 4*r - 107 = -3*p - 0*r, -18 - 14 = -2*r - 28 for p.
33
Solve -131*f + 137*f - 52 = -4*u, -3*f + 22 = u for f.
6
Solve -243*c = -249*c + 2*v - 88, 3*c + 5*v = -32 for c.
-14
Solve 2*d - 49 = 253*r - 248*r, 0 = 3*d - r - 41 for d.
12
Solve -4*p = -d + 74 - 109 - 62, -9*p - 5*d + 182 = 0 for p.
23
Solve -7*f = -3*m - 8*f + 6*f - 48, -48 = -4*f for m.
4
Solve 61*n - 59*n + 42 = -2*p, -26 = 2*p + n for p.
-5
Solve 0 = -3*t + 9, 39*w + 57*t - 11*t = 43*w + 118 for w.
5
Solve -5*z - 18 = -o, -2396*o + 59*z + 230 = -2393*o for o.
-2
Solve -2*d + 377*i - 370*i = -4*d, 5*d - 4*d - 3*i = 0 for d.
0
Solve 80 = -4*h - 3*q, -866*q + 871*q + 20 = 0 for h.
-17
Solve 0 = 3*u + u + 3*h + 13, -28 = -2*u + 20*h - 142 for u.
-7
Solve 2858*c + 2862*c - 5718*c = 5*n + 7, -5*n = 2*c - 15 - 2 for n.
1
Solve 183 = -v - 3*c, -101*v + 102*v + c + 0*c = -59 for v.
3
Solve -v + 2*s = -53, 2*v - 3*s - 116 = -36 for v.
1
Solve 0 = -4*r + 9*q - 6*q + 25, -29*r + 32*r = 11*q - 30 + 5 for r.
10
Solve -4*a - 252 = -90*k, -4*k = -77*a + 74*a - 62 for k.
2
Solve -z + 2 = -2*s, 17*z + 17 = 4*s + 24 + 147 for z.
10
Solve -103901*x - 2*g = -103898*x + 16, -2*x + 3*g - 15 = 0 for x.
-6
Solve 0 = -2*p + 2*u + 10, -95*u + 96*u = -p + 1 for p.
3
Solve 5*f = -8*y + 158, 12*y - 9*y - 2*f - 39 = -14*f for y.
21
Solve -3*x - 3*m + 4*m + 4*m + 80 = 10*m, 66*m = 5*x + 1056 for x.
0
Solve -3*m - 72 = 0, m + 9*m = g - 6*m + 17*m + 21 for g.
3
Solve 4*b - 8*b + 71794 = -3*z + 71842, -2*b + 24*z = -0*b + 114 for b.
-9
Solve 5*r + 18 = 3*n, -5576*r + 3*n = -5572*r + 12 for r.
-6
Solve -31646*w = -31640*w + h - 40, 0 = -5*w - 3*h + 94 for w.
2
Solve 1500*l + 4*a = 1496*l - 44, 4*l = -2*a - 12 for l.
5
Solve -2*q - 2 = 2, -3*q + 121 = -4*p + 19 - 136 + 32 for p.
-53
Solve 3*u - 5*l = 18, 11*u + u - u + 56*l - 234 = 5*u for u.
11
Solve 3*h = -3153*w + 3151*w + 20, -7*h + w + 58 = 0 for h.
8
Solve -6*a + g + 23 - 1 | {
"pile_set_name": "DM Mathematics"
} |
/((q/(q**(-3/8)*q)*q)/q)*q*q)*q))))/(q**(1/4))**41 assuming q is positive.
q**(-89/8)
Simplify (m*(m**1*m)/m*m**(1/6))/(((((m*m**6)/m)/m*m)/m)/(m*((m**(3/2)/m)/m*m)/m)) assuming m is positive.
m**(-7/3)
Simplify ((d*d**2)/d)**(2/9)/((d**(2/7)/d)/(d/d**(-5))) assuming d is positive.
d**(451/63)
Simplify ((h/h**(-12))/(h**(-8)/h))**(-8/17) assuming h is positive.
h**(-176/17)
Simplify (s/((s**(-1/54)*s)/s))/s**(-2/47) assuming s is positive.
s**(2693/2538)
Simplify (l/(l**(-1/2)*l)*l)**(5/17)*(l/l**7)/l*(l*l**(-1/7))/l*l assuming l is positive.
l**(-1357/238)
Simplify (v**(-6)/v**(-3))**(8/5) assuming v is positive.
v**(-24/5)
Simplify ((t**(-5/3)*t)/(t/(t*t/(t/t**(-4)))))/(t**(-2/13)*t**(-4)) assuming t is positive.
t**(-20/39)
Simplify ((w**(-1/2))**(-7))**(-8/5) assuming w is positive.
w**(-28/5)
Simplify s**17/(s/(s*s*s**21*s)*s) assuming s is positive.
s**39
Simplify ((i/(i*i/(i/i**(-1/2))))/i**2)/(i**(2/31)/i**0) assuming i is positive.
i**(-97/62)
Simplify (w**(-30))**(-18) assuming w is positive.
w**540
Simplify (q**6/q)/q**(-4/13) assuming q is positive.
q**(69/13)
Simplify (p**(-1/6)*p)**(-1/9) assuming p is positive.
p**(-5/54)
Simplify (c**(3/10)/((((c*c**1/c)/c)/c)/c))/(c*c*c**(-5)/c*c*c**(-3/8)*c*c) assuming c is positive.
c**(147/40)
Simplify k/(k/(k*k**(-6/5)*k))*k*k/(k/k**(-12)) assuming k is positive.
k**(-51/5)
Simplify ((y/(y/(y*y/(y*y**(-1/3)))))/(y/y**(-2/11)))/((y*(y/(y/(y*y**(-2/5))))/y)/y)**39 assuming y is positive.
y**(2599/165)
Simplify (y*y**3*y*y**(-7/3))**(-11) assuming y is positive.
y**(-88/3)
Simplify (o**(2/7)*o)/o*o/(o/o**(-2/5))*(o/((o*o**(-1)/o)/o)*o)**45 assuming o is positive.
o**(6296/35)
Simplify ((z*z*z*z*(z*z**(-2/3))/z)**(29/3))**26 assuming z is positive.
z**(7540/9)
Simplify (o**(-1/2))**(7/3) assuming o is positive.
o**(-7/6)
Simplify m**(-1)/((m*m**(2/17)*m)/m)*(m**3/m)/(m**(1/2)/m) assuming m is positive.
m**(13/34)
Simplify (q*q*q/((q*q**1)/q*q)*q*q)**39/(((q/q**(2/3)*q)/q)/q**(-2/7)) assuming q is positive.
q**(2444/21)
Simplify (o**8*o)/o**(-10) assuming o is positive.
o**19
Simplify r**(1/18)*(r**(-6)*r)/r*r/(r/(r**9*r))*((r/((r/(r*r**(-3/5)))/r*r))/r)/r assuming r is positive.
r**(221/90)
Simplify (c**(-4/5))**(-1/16) assuming c is positive.
c**(1/20)
Simplify n**(-9/7)/n**(-14) assuming n is positive.
n**(89/7)
Simplify (q**(-2)/(q*q/(q**(-5/4)/q)))**25 assuming q is positive.
q**(-625/4)
Simplify s**(-6)/(s/s**(-18)) assuming s is positive.
s**(-25)
Simplify ((g/(g*g**(4/11)))/g*g**(-6/7))/(g/(g*g*g**(-3/7)*g*g)*g*g**(-2)) assuming g is positive.
g**(104/77)
Simplify (c**1)**(-5/4)*(c/c**(-1/4))/c*c**6 assuming c is positive.
c**5
Simplify (d**(2/5)*d**(-1/10)/d*d)**(1/7) assuming d is positive.
d**(3/70)
Simplify g*g**(1/17)*(g/(g*g**(-9)/g))/g assuming g is positive.
g**(171/17)
Simplify r/r**1*r/(r**(-2/3)*r*r*r)*(((r*r**(1/3)*r)/r)/r)**(1/16) assuming r is positive.
r**(-21/16)
Simplify (t**(-8)/t*t**9)/((t**3*t)/(t**(-2/5)/t)) assuming t is positive.
t**(-27/5)
Simplify (v**8/(v**(-3/16)*v))**(14/5) assuming v is positive.
v**(161/8)
Simplify ((g**(-4)*g)/g**(-5))/((g/(g*g/(g/(g**(-1/3)/g*g))))/(g*g**(-6))) assuming g is positive.
g**(-10/3)
Simplify (s**(2/11)/s)**(-19/4) assuming s is positive.
s**(171/44)
Simplify (n**5/(n*n**(-3)))**(4/7) assuming n is positive.
n**4
Simplify v/((v/(v/v**28))/v)*v*(v**(2/97)/v)/v assuming v is positive.
v**(-2617/97)
Simplify (l**0)**28/(l**(-1)*l*l*l**(-1/4)) assuming l is positive.
l**(-3/4)
Simplify ((f/f**(-4))/((f**(1/4)/f*f)/f))/(f/(f**(-1/4)/f*f)*f*f/(f/f**(-1/4)*f)) assuming f is positive.
f**(19/4)
Simplify y*y*y*y**(-18)*y*y*y*y*y*y/(y/(y**(-4/13)*y)) assuming y is positive.
y**(-121/13)
Simplify (s**(-1/13)*s*s**(-3/2))**(-43) assuming s is positive.
s**(645/26)
Simplify f**(-2/9)/f**(-5) assuming f is positive.
f**(43/9)
Simplify m**(-1/6)*m/(m**(-7)*m)*(m*m**(-1/6)/m*m)/(m/(m*m**(-1/6)*m)) assuming m is positive.
m**(17/2)
Simplify ((c*c**(-1/4))/(((c/(c/(c*(c**(-8)/c)/c*c)))/c*c*c)/c*c))**(-3) assuming c is positive.
c**(-93/4)
Simplify p/(p**(4/9)/p)*((((p/(p*p*p**(-1/3)/p*p*p))/p*p)/p)/p)/p*p assuming p is positive.
p**(-19/9)
Simplify (s*s*s**1)**(-26)/(s**2/s**(-6)) assuming s is positive.
s**(-86)
Simplify (c/((c*c**(2/7))/c*c))**(-6/19) assuming c is positive.
c**(12/133)
Simplify t*t**(1/4)*t*t*t**(-5/4)*t**(-4)/(t/(t*t**5)) assuming t is positive.
t**3
Simplify p**(5/6)*p**(-14)/p assuming p is positive.
p**(-85/6)
Simplify (((d/d**(-2/11))/d)**(-49))**(-5/3) assuming d is positive.
d**(490/33)
Simplify i**(-7/4)*i*i**1 assuming i is positive.
i**(1/4)
Simplify (b*(b*b**(-2/3))/b*b*b*b**(-2/5)/b)**27 assuming b is positive.
b**(126/5)
Simplify (l**(-2/9))**(5/2)/((l/l**(-1/2))/((((l**(1/9)/l)/l)/l)/l)) assuming l is positive.
l**(-107/18)
Simplify (s/(s/s**12))**24 assuming s is positive.
s**288
Simplify m**(1/42)*(m**(6/11)*m)/m assuming m is positive.
m**(263/462)
Simplify (j*j**(1/4))**(-10) assuming j is positive.
j**(-25/2)
Simplify c*c**9*c**14*c assuming c is positive.
c**25
Simplify ((p/p**(2/19))/p)**5 assuming p is positive.
p**(-10/19)
Simplify (d**(-4/7)/d)**(-31) assuming d is positive.
d**(341/7)
Simplify (w/w**8)**(-12/11) assuming w is positive.
w**(84/11)
Simplify (o/(o/((o/o**(-1/2))/o*o))*o**3)**(-7/8) assuming o is positive.
o**(-63/16)
Simplify (n/(n**(2/9)/n)*n)**(-22)*n*n**(4/3)*n*n**(-5/4) assuming n is positive.
n**(-2125/36)
Simplify (v**(-1))**32/(v*(v/((v*v**(2/5))/v*v))/v*v)**(10/13) assuming v is positive.
v**(-422/13)
Simplify (y*y**(3/10))/y*(y*y**5*y)/y*y*y*y**(1/6)/(y**(5/4)/y) assuming y is positive.
y**(493/60)
Simplify (i/((i*i/i**(1/12))/i))/i**(-7/8) assuming i is positive.
i**(23/24)
Simplify (z/z**(-2/7)*z*z*z**(-7)*z)**29 assuming z is positive.
z**(-551/7)
Simplify (b/(b/(b*b**(-3)))*b)/(b/(b**(1/49)*b)*b*b) assuming b is positive.
b**(-146/49)
Simplify ((o**24/o)/o)/o**(3/25) assuming o is positive.
o**(547/25)
Simplify ((d*d/(d/((d**(-6)/d)/d)))**29)**(9/7) assuming d is positive.
d**(-261)
Simplify ((w/w**5)/(w*w**(-6)*w*w))/(w*w*w**(-1)*w*w*w*w**(-5)*w) assuming w is positive.
1/w
Simplify (r**(1/5)/((r*r**(-1/6))/r*r))/(r**(2/3))**(3/32) assuming r is positive.
r**(-167/240)
Simplify ((c**(-1/2))**(18/5))**(-31) assuming c is positive.
c**(279/5)
Simplify w**(5/4)/(w/(((w**(2/19)*w)/w)/w*w))*(w/w**(-2/9))/w**(-2/13) assuming w is positive.
w**(15395/8892)
Simplify (q**(-2/7))**(-1/17)/(q**(1/6)/(q/q**(-9))) assuming q is positive.
q**(7033/714)
Simplify d**(-6/5)/d*d**(-7) assuming d is positive.
d**(-46/5)
Simplify (z**(-3/4)/z)/(z/z**(-1/3)) assuming z is positive.
z**(-37/12)
Simplify (r/(r*r*r**(-1)))**(-12/17) assuming r is positive.
1
Simplify ((l/(l*l**(-10)))/((l/(l/l**(-2/9)))/l))**(-17) assuming l is positive.
l**(-1717/9)
Simplify g*g**1*g*g**(2/11)*(g/(g**(2/3)/g))**(3/13) assuming g is positive.
g**(499/143)
Simplify (j**(-9)*j)**(-33/2) assuming j is positive.
j**132
Simplify ((z*z**(-1/9))/z**1)/(z*z**0)**(-2/13) assuming z is positive.
z**(5/117)
Simplify (r*(r/r**(-20))/r)/(r**(-12/13)/r) assuming r is positive.
r**(298/13)
Simplify (m*m**(-1/10)*m**(-1/3)*m)/(m**(3/5)/m*m**(-2/17)) assuming m is positive.
m**(1063/510)
Simplify (f**2)**21/(f/(f**(1/4)*f))**(1/69) assuming f is positive.
f**(11593/276)
Simplify (b**(-2))**(-4/23)*b*b/b**(4/11)*b*b*b**(-2/3) assuming b is positive.
b**(2518/759)
Simplify (v/(v**(-1/3)/v)*v)**(-3/17) assuming v is positive.
v**(-10/17)
Simplify ((l**8*l)/l)**14 assuming l is positive.
l**112
Simplify (b**(1/4))**(-45)/(b**(-2/7)*b*b/b**(-5)*b) assuming b is positive.
b**(-531/28)
Simplify (j/j**(-3)*j**(-2/25))/(j*j**4*j*j**(1/2)) assuming j is positive.
j**(-129/50)
Simplify ((f/((f/(f*f**(1/3)))/f))/f**2)/(f/f**(-5)*(f*(f**(-3)/f*f*f)/f*f)/f) assuming f is positive.
f**(-11/3)
Simplify ((d/((d/(d/(d/(d**(-2)*d))))/d))**(-15))**(-7/2) assuming d is positive.
1
Simplify (z**(-1/5))**19 assuming z is positive.
z**(-19/5)
Simplify f/(f/(f**(-2/47)*f))*f/(f/f**(2/7)) assuming f is positive.
f**(409/329)
Simplify (r/(((r*r**2)/r)/r*r))**(-3/8)/((((r/((r/r**3)/r))/r)/r)/(r*r*r*(r/(r/(r*r*((r*r/(r**8*r))/r)/r))*r)/r*r)) assuming r is positive.
r**(-37/8)
Simplify (j*j*j**(-5/3)*j/(j**12*j))**(-8) assuming j is positive.
j**(280/3)
| {
"pile_set_name": "DM Mathematics"
} |
2896*o**4 - 3890*o**4 - 468*o**4 wrt o?
-17056*o**3
Let g(v) = -50372*v**3 - 535*v**2 + 88*v. Let b(x) = 37778*x**3 + 401*x**2 - 64*x. Let h(z) = 11*b(z) + 8*g(z). What is the third derivative of h(u) wrt u?
75492
Let l(c) = -c**2 + 5*c + 338. Let b be l(21). What is the derivative of -2*y**b + 188 + 4*y + 0*y + 8*y + 114 wrt y?
-4*y + 12
Suppose -17*c + 21 = -10*c. What is the second derivative of 2*d - d**2 + 3*d**2 - c*d**3 - 8*d**2 + 1 + 2*d**2 wrt d?
-18*d - 8
Let n(y) = 1545*y**2 - 3*y - 8545. Let w(h) = -1546*h**2 + 2*h + 8585. Let k(a) = -2*n(a) - 3*w(a). Differentiate k(p) wrt p.
3096*p
Let s(a) be the third derivative of 5063*a**7/210 + 187*a**4/24 - a**3/6 + a**2 + 482. Find the second derivative of s(h) wrt h.
60756*h**2
Let i(c) be the second derivative of 3*c + 0*c**3 + 4 - 1/3*c**4 + 21/2*c**2. Find the first derivative of i(z) wrt z.
-8*z
Find the third derivative of -529*l**2 + 4484*l**3 - 5*l + l**4 - 522*l**2 - 526*l**2 + 2109*l**2 - 530*l**2 wrt l.
24*l + 26904
Suppose 4*n - 396 = 4*v, 5*v - v = 5*n - 496. What is the third derivative of n*g**4 - 92*g**2 - 33*g**4 - 16*g**2 wrt g?
1608*g
Let o(l) be the second derivative of l**6/30 - 337*l**5/20 + 5*l**4/12 + 2*l**3/3 + 3*l**2/2 + l + 409. Find the third derivative of o(p) wrt p.
24*p - 2022
Let k be ((-28)/(-3))/((-4)/30). Let h = 82 + k. Differentiate 22*w - 10*w - 8 - h*w + 17*w**3 wrt w.
51*w**2
What is the second derivative of -1339*h**3 - 7136*h**3 + 330994*h - 333259*h - 1150*h**3 wrt h?
-57750*h
Let x(y) = 381*y**2 - 3*y - 2027. Let q(d) = -768*d**2 + 5*d + 4056. Let o(u) = 2*q(u) + 5*x(u). Differentiate o(f) wrt f.
738*f - 5
Let q(d) = 18*d - 95. Let n(k) = -5*k - 6. Let r be n(1). Let v(y) = -37*y + 189. Let h(c) = r*q(c) - 6*v(c). Find the first derivative of h(m) wrt m.
24
Let a(g) be the second derivative of -1/3*g**3 + 15/4*g**4 + 0 - 91*g + 0*g**2. What is the second derivative of a(y) wrt y?
90
What is the third derivative of -3006*q**4 + 3006*q**4 - 1388*q**5 - 4*q**2 + 301*q wrt q?
-83280*q**2
What is the first derivative of 2274 - 125*l + 60*l + 629*l + 597*l wrt l?
1161
Let u(q) be the second derivative of 65/12*q**4 - 1 + 0*q**2 + 2*q + 79/10*q**5 + 0*q**3. Find the third derivative of u(r) wrt r.
948
Suppose 2*y = -5*c + 29, -2*y - 5*c + 35 = 3*y. Let t be (28 + -12)/(-2 - -4). Differentiate 38*s**2 - 24*s**2 - 4*s**y - t with respect to s.
20*s
Let o(b) = -b - 6. Let p be o(-11). Suppose -3*x + p*k = -29, -2*k = x - 4*x + 26. Differentiate -14*l**2 - 23 + 14*l**2 + 5*l**4 + x*l**4 with respect to l.
52*l**3
Differentiate 3472*l + 1317 - 426 + 1824 - 74 with respect to l.
3472
Let w(m) = 6 - 282*m**3 + 241*m**3 + 52*m**2 - 7*m**2. Let t(r) = 42*r**3 - 44*r**2 - 8. Let u(b) = 3*t(b) + 4*w(b). What is the third derivative of u(g) wrt g?
-228
Let l = -14 + 12. Let t be 0 + (-3 - 10/l). Find the third derivative of 2*i**t + 2 - 4 + 2 - 12*i**3 wrt i.
-72
Suppose 2*h = -6*h + 936. Suppose 19 = -4*q + 4*k + 103, 0 = 5*q + k - h. Differentiate 33 - 10 + 9*c**2 - q*c**2 wrt c.
-28*c
Let f(n) be the first derivative of 2075*n**6/3 - 945*n**2/2 + 4*n - 1133. Find the second derivative of f(q) wrt q.
83000*q**3
Let h(c) = -8*c - 41. Let o be h(-6). Suppose 0 = 2*b + 4*x - 44, -2*b = -o*b - 2*x + 110. Differentiate b + 13*w**2 - 8 - 38 wrt w.
26*w
Suppose 0 = -3*y - 3*p - 402, p + 10 = -p. Let q = y - -129. Find the second derivative of q - 6 + 2 + 8*m**2 - 2*m wrt m.
16
Let d be 0 - (-2 + 3)*-2. Let a(j) = 4*j - 22. Let p be a(8). Find the first derivative of 4*k**d + 7*k**2 + p*k**2 + 15 wrt k.
42*k
Let f(x) = 690*x**3 + 3*x**2 - 67*x. Let v(s) = 2075*s**3 + 11*s**2 - 199*s. Let n(h) = -7*f(h) + 2*v(h). What is the third derivative of n(b) wrt b?
-4080
Let b(i) = -3860*i + 3973. Let x(r) = -7720*r + 7950. Let s(m) = -15*b(m) + 7*x(m). Differentiate s(c) with respect to c.
3860
Let m(n) be the second derivative of -52/3*n**4 + 0*n**2 + 0 + 25*n - 23/3*n**3. What is the second derivative of m(f) wrt f?
-416
Let g be (-7)/1*(216/420 - 8/10). Let k(r) = -r**3 - 6*r**2 + r + 8. Let u be k(-6). What is the derivative of 5*b**g + 35*b**u - 788 + 778 wrt b?
80*b
Let t be (7/(-21))/((-354)/(-72) - 5). Find the first derivative of 69*l**4 - 309 + 564 - l - t*l + 0*l + 3*l wrt l.
276*l**3 - 2
Let r(g) be the second derivative of 1 - 3/2*g**2 - 32*g - 12*g**3. Find the first derivative of r(k) wrt k.
-72
Let l = 59 + -57. Suppose 6 = l*w - 20. What is the second derivative of -2*s + 20*s**3 - 8*s**3 + w*s + 22*s**3 wrt s?
204*s
Let z(x) = 2232*x**2 + 4606*x + 7. Let l(g) = 1115*g**2 + 2303*g + 3. Let j(b) = -7*l(b) + 3*z(b). What is the second derivative of j(f) wrt f?
-2218
Suppose 28*a + 609 = 30*a - 5*b, 616 = 2*a + 2*b. What is the first derivative of 81 + 19 - 56*l + a*l wrt l?
251
What is the second derivative of -57 + 34*u - 9*u**4 + 7*u**4 - 4390 - 7117*u**2 - 35*u wrt u?
-24*u**2 - 14234
Let i = 20192 - 20173. Let s(c) be the first derivative of -i + 35/4*c**4 + 0*c + 31/2*c**2 + 0*c**3. Find the second derivative of s(k) wrt k.
210*k
Suppose -3*t + 113 - 17 = s, -117 = -4*t - 5*s. Differentiate -19 - 4 - 4*p - 53*p - t*p with respect to p.
-90
Let y(x) = -x**2 - x - 1. Let f(u) = 4 - 9 - 14*u + 27*u**2 - 119*u**2 - 14*u + u. Let w(h) = f(h) - 5*y(h). What is the second derivative of w(p) wrt p?
-174
Find the second derivative of 277 + 10*d**3 - 15*d**2 - 113*d**3 - 2*d + 66*d**3 wrt d.
-222*d - 30
Find the second derivative of 4188*u + 32*u**4 + 22*u**3 + 19*u**5 - 8*u**3 - 10*u**3 - 37*u**4 wrt u.
380*u**3 - 60*u**2 + 24*u
Let t(r) be the second derivative of 1/20*r**5 + 0*r**3 + 16*r - 1 + 3/4*r**4 + 177/2*r**2. Differentiate t(n) wrt n.
3*n**2 + 18*n
Let f(v) be the third derivative of -98*v**2 - 1/24*v**4 - 17/60*v**5 + 0 + 0*v + 20/3*v**3. Differentiate f(z) with respect to z.
-34*z - 1
Suppose -3*m - 10*t + 9*t + 5 = 0, -3*t - 18 = -2*m. Find the third derivative of 4*l + 450*l**2 - 418*l**2 + 6*l**3 + 186*l**5 - 6*l**m + 30*l**5 wrt l.
12960*l**2
Suppose -4*k = -g - 16, -5*g - 2*k + 22 = -8. Suppose 0 = -6*r + g*r + 4. What is the third derivative of 6*h**3 - 5*h**2 - 8*h**2 - 5*h**r wrt h?
36
Find the third derivative of 2*d**2 + 88 - 2*d**2 - 152*d - 90 - d**2 - 507*d - 7597*d**6 wrt d.
-911640*d**3
Let g(b) = -1858*b**2 + 288*b + 2. Let l(j) = -1856*j**2 + 294*j - 1. Let q(i) = 3*g(i) - 2*l(i). Find the second derivative of q(x) wrt x.
-3724
Let v(c) = 11*c + 90. Let l be v(-8). What is the second derivative of 104*q**l - 6 - 55*q**2 + 8*q**2 + 70*q**2 + 2*q wrt q?
254
Let s(m) = -1 + 3*m**2 + m**3 - 3*m**2. Let h(a) = 17*a**3 - 15. Suppose -204*z + 203*z = -1. Let k(b) = z*h(b) - 4*s(b). What is the derivative of k(r) wrt r?
39*r**2
Suppose -10*w = 24*w - 340. Find the second derivative of -323*l**2 - w*l - 3*l + 1 + 318*l**2 + 3*l + 3*l**3 wrt l.
18*l - 10
Let w(q) = -2*q**2 - q - 8. Let k(i) = 4415*i**2 - 6*i - 2702. Let m(n) = k(n) - 6*w(n). What is the first derivative of m(j) wrt j?
8854*j
Let b(z) = -z**2 - 11*z - 7. Let c be b(-10). Let i be (c - 0)/((-4)/(-8)). Differentiate i + 6 - 4*r**2 + 5*r**2 wrt r.
2*r
Let m(l) be the first derivative of 0*l + 18 + 0*l**2 + 20/3*l**3 + 75/2*l**4. What is the third derivative of m(x) wrt x?
900
Let h(w) be the first derivative of 19*w**3/2 - 56*w**2 - 64*w - 22. Let y(r) be the first derivative of h(r). Differentiate y(s) with respect to s.
57
Let p(d) be the second derivative of 868*d**6/15 - 1265*d**2/2 + 1315*d. What is the first derivative of p(f) wrt f?
6944*f**3
Let y(g) = g**2 + 6*g - 15. Let u(k) = -1. Let l(w) = 5*u(w) - y(w). Let q be l(-6). What is the second derivative of 8*h**2 - 6*h - q + 10 wrt h?
16
Let l(k) be the first derivative of 21/5*k**5 + 0*k**3 + 167 + 14*k + 3/2*k**2 + 1/4*k**4. Find the second derivative of l(m) wrt m.
252*m**2 + 6*m
What is the second derivative of -94736*j - 90826*j + 189709*j + 8085*j**3 wrt j?
48510*j
Let d(y) be the first derivative of -7*y**5/5 + 23*y**4/2 + 634*y - 901. Find the first derivative of d(b) wrt b.
-28*b**3 + 138*b**2
Find the second derivative of -1832*u**2 - 3720*u - 1815*u**2 + 43*u**3 + 3661*u**2 wrt u.
258*u + 28
Suppose 19 = -y + 4*h + 33, 0 = -4*y + 4*h + 20. Find the third derivative of -3899*g**6 + 7924*g**6 - 3808*g**6 + 169*g** | {
"pile_set_name": "DM Mathematics"
} |
hat is 46509 to the power of 1/3, to the nearest integer?
36
What is the seventh root of 873 to the nearest integer?
3
What is the cube root of 4657 to the nearest integer?
17
What is 55320 to the power of 1/7, to the nearest integer?
5
What is the square root of 4149 to the nearest integer?
64
What is 564 to the power of 1/8, to the nearest integer?
2
What is 14014 to the power of 1/3, to the nearest integer?
24
What is the fifth root of 3861 to the nearest integer?
5
What is the square root of 16657 to the nearest integer?
129
What is the cube root of 144 to the nearest integer?
5
What is the third root of 467 to the nearest integer?
8
What is 458 to the power of 1/2, to the nearest integer?
21
What is the square root of 610 to the nearest integer?
25
What is the seventh root of 376 to the nearest integer?
2
What is the sixth root of 15030 to the nearest integer?
5
What is 1342 to the power of 1/6, to the nearest integer?
3
What is 17 to the power of 1/2, to the nearest integer?
4
What is the cube root of 3281 to the nearest integer?
15
What is the third root of 3436 to the nearest integer?
15
What is 534 to the power of 1/4, to the nearest integer?
5
What is 5950 to the power of 1/9, to the nearest integer?
3
What is 48329 to the power of 1/4, to the nearest integer?
15
What is 65624 to the power of 1/3, to the nearest integer?
40
What is the third root of 50442 to the nearest integer?
37
What is the fifth root of 13877 to the nearest integer?
7
What is 92 to the power of 1/2, to the nearest integer?
10
What is the eighth root of 46481 to the nearest integer?
4
What is the tenth root of 22446 to the nearest integer?
3
What is 2604 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 21865 to the nearest integer?
3
What is 6727 to the power of 1/3, to the nearest integer?
19
What is the square root of 56105 to the nearest integer?
237
What is the square root of 41105 to the nearest integer?
203
What is 97 to the power of 1/9, to the nearest integer?
2
What is the fifth root of 760 to the nearest integer?
4
What is 25532 to the power of 1/2, to the nearest integer?
160
What is the tenth root of 864 to the nearest integer?
2
What is the square root of 9632 to the nearest integer?
98
What is 152 to the power of 1/3, to the nearest integer?
5
What is 266 to the power of 1/6, to the nearest integer?
3
What is the square root of 3579 to the nearest integer?
60
What is 1472 to the power of 1/2, to the nearest integer?
38
What is the fifth root of 162 to the nearest integer?
3
What is 59663 to the power of 1/2, to the nearest integer?
244
What is 73225 to the power of 1/8, to the nearest integer?
4
What is 6090 to the power of 1/2, to the nearest integer?
78
What is the cube root of 28191 to the nearest integer?
30
What is the square root of 8955 to the nearest integer?
95
What is the cube root of 5703 to the nearest integer?
18
What is the square root of 1139 to the nearest integer?
34
What is the eighth root of 19672 to the nearest integer?
3
What is the ninth root of 13396 to the nearest integer?
3
What is 10011 to the power of 1/3, to the nearest integer?
22
What is the cube root of 3013 to the nearest integer?
14
What is the third root of 182 to the nearest integer?
6
What is the fifth root of 967 to the nearest integer?
4
What is the eighth root of 84569 to the nearest integer?
4
What is the square root of 15941 to the nearest integer?
126
What is the square root of 123079 to the nearest integer?
351
What is 222 to the power of 1/5, to the nearest integer?
3
What is the seventh root of 17610 to the nearest integer?
4
What is 1924 to the power of 1/8, to the nearest integer?
3
What is 33082 to the power of 1/4, to the nearest integer?
13
What is the square root of 8752 to the nearest integer?
94
What is the fourth root of 64419 to the nearest integer?
16
What is the square root of 12805 to the nearest integer?
113
What is 70012 to the power of 1/2, to the nearest integer?
265
What is the sixth root of 8263 to the nearest integer?
4
What is 34241 to the power of 1/2, to the nearest integer?
185
What is the ninth root of 26774 to the nearest integer?
3
What is the third root of 160 to the nearest integer?
5
What is 9277 to the power of 1/10, to the nearest integer?
2
What is 8128 to the power of 1/4, to the nearest integer?
9
What is 5863 to the power of 1/2, to the nearest integer?
77
What is 46077 to the power of 1/6, to the nearest integer?
6
What is the sixth root of 988 to the nearest integer?
3
What is the eighth root of 2876 to the nearest integer?
3
What is the third root of 779 to the nearest integer?
9
What is the fifth root of 10315 to the nearest integer?
6
What is the cube root of 322 to the nearest integer?
7
What is the third root of 810 to the nearest integer?
9
What is the ninth root of 16810 to the nearest integer?
3
What is the cube root of 3544 to the nearest integer?
15
What is the third root of 9390 to the nearest integer?
21
What is 4330 to the power of 1/5, to the nearest integer?
5
What is the fifth root of 26342 to the nearest integer?
8
What is 2224 to the power of 1/2, to the nearest integer?
47
What is 16061 to the power of 1/8, to the nearest integer?
3
What is the third root of 208 to the nearest integer?
6
What is the tenth root of 14236 to the nearest integer?
3
What is the third root of 506 to the nearest integer?
8
What is the square root of 819 to the nearest integer?
29
What is the cube root of 54209 to the nearest integer?
38
What is 2749 to the power of 1/3, to the nearest integer?
14
What is the square root of 4396 to the nearest integer?
66
What is 29233 to the power of 1/7, to the nearest integer?
4
What is the square root of 3777 to the nearest integer?
61
What is 116419 to the power of 1/2, to the nearest integer?
341
What is the cube root of 1092 to the nearest integer?
10
What is the cube root of 244 to the nearest integer?
6
What is 1462 to the power of 1/3, to the nearest integer?
11
What is the third root of 62124 to the nearest integer?
40
What is 6713 to the power of 1/5, to the nearest integer?
6
What is the sixth root of 50003 to the nearest integer?
6
What is the ninth root of 29078 to the nearest integer?
3
What is the third root of 5041 to the nearest integer?
17
What is 3472 to the power of 1/5, to the nearest integer?
5
What is the cube root of 47514 to the nearest integer?
36
What is the square root of 151 to the nearest integer?
12
What is the seventh root of 31539 to the nearest integer?
4
What is the ninth root of 54049 to the nearest integer?
3
What is the square root of 592 to the nearest integer?
24
What is 6337 to the power of 1/2, to the nearest integer?
80
What is 1199 to the power of 1/3, to the nearest integer?
11
What is the eighth root of 622 to the nearest integer?
2
What is the square root of 32562 to the nearest integer?
180
What is the square root of 484 to the nearest integer?
22
What is the fourth root of 50257 to the nearest integer?
15
What is 122716 to the power of 1/3, to the nearest integer?
50
What is the square root of 2466 to the nearest integer?
50
What is the fifth root of 905 to the nearest integer?
4
What is 9514 to the power of 1/6, to the nearest integer?
5
What is 19699 to the power of 1/3, to the nearest integer?
27
What is 7592 to the power of 1/2, to the nearest integer?
87
What is 5440 to the power of 1/3, to the nearest integer?
18
What is the square root of 1392 to the nearest integer?
37
What is 41561 to the power of 1/2, to the nearest integer?
204
What is the square root of 600 to the nearest integer?
24
What is the eighth root of 16727 to the nearest integer?
3
What is 83037 to the power of 1/3, to the nearest integer?
44
What is the ninth root of 18231 to the nearest integer?
3
What is 92218 to the power of 1/5, to the nearest integer?
10
What is the cube root of 30389 to the nearest integer?
31
What is 17181 to the power of 1/5, to the nearest integer?
7
What is the third root of 49389 to the nearest integer?
37
What is the square root of 8507 to the nearest integer?
92
What is the fourth root of 34168 to the nearest integer?
14
What is the fourth root of 23681 to the nearest integer?
12
What is the square root of 318 | {
"pile_set_name": "DM Mathematics"
} |
e 14?
-1b822c8
79234 (base 11) to base 12
564a1
What is -3220301111 (base 4) in base 7?
-11050451
Convert 34659 (base 14) to base 12.
61933
62664242 (base 7) to base 13
1134443
51454 (base 13) to base 14
3b187
What is 32596 (base 13) in base 11?
62449
Convert -1011100001011011010 (base 2) to base 12.
-1625b6
4ec29 (base 16) to base 12
136835
Convert a4525 (base 14) to base 15.
7c59e
Convert 2202112111210 (base 3) to base 16.
1662f0
Convert 122011220312 (base 4) to base 10.
6838838
213220013220 (base 4) to base 12
358b660
What is 12100211102 (base 3) in base 14?
2a697
-121002122201 (base 3) to base 11
-1a7079
Convert 10032021301 (base 4) to base 11.
696400
-21000010122 (base 4) to base 16
-24011a
What is -622203 (base 8) in base 9?
-343458
-2213508 (base 9) to base 4
-10202203331
What is 194cc6 (base 14) in base 2?
11011011000000101110
-1aa467 (base 11) to base 10
-321328
-165744 (base 13) to base 3
-1001012011020
-2000220020 (base 4) to base 15
-a618b
Convert -434120 (base 10) to base 4.
-1221333020
284621 (base 14) to base 6
45523021
1303141 (base 8) to base 16
58661
Convert -392af1 (base 16) to base 4.
-32102223301
Convert 1581286 (base 11) to base 13.
734c49
30786 (base 9) to base 7
113160
-174d22 (base 16) to base 15
-2026ee
1523225 (base 7) to base 4
302230100
What is -1011110100101000000100 (base 2) in base 5?
-1243133030
Convert -673313 (base 8) to base 16.
-376cb
What is -103443 (base 9) in base 16?
-f09f
Convert 12211210020022 (base 3) to base 12.
1059352
Convert 3042310134 (base 5) to base 16.
5ece31
What is -126116a (base 12) in base 10?
-3610018
Convert -564217 (base 8) to base 11.
-12022a
144202220 (base 5) to base 6
24314533
-187a277 (base 11) to base 2
-1100000111011010011100
Convert -416a3 (base 14) to base 11.
-a8559
Convert 36a280 (base 14) to base 5.
434400122
Convert 1121000101101 (base 3) to base 8.
3165471
Convert 88663 (base 10) to base 15.
1b40d
Convert 2443322 (base 11) to base 2.
10000001101101010011110
6206672 (base 12) to base 11
a444987
-110b5 (base 12) to base 6
-252345
What is -256144 (base 7) in base 14?
-13594
Convert a2403a (base 12) to base 15.
35196a
-440154 (base 7) to base 4
-102301320
211179 (base 10) to base 8
634353
Convert 76042 (base 9) to base 2.
1100010010100011
Convert -3c668 (base 13) to base 7.
-650606
Convert -3303123200 (base 5) to base 8.
-33011655
Convert 36511151 (base 7) to base 6.
153540135
33932 (base 12) to base 4
100301312
Convert 10000020102100 (base 3) to base 16.
18661b
What is -3101122213 (base 4) in base 11?
-5364a9
4875657 (base 9) to base 14
4cd17c
What is 1072522 (base 8) in base 10?
292178
-21636aa (base 11) to base 13
-a2c280
-2010202031 (base 4) to base 13
-160127
-320810 (base 15) to base 11
-1387029
What is -1111010111000000000 (base 2) in base 16?
-7ae00
Convert 1232302 (base 5) to base 15.
7202
-38b85e (base 15) to base 13
-744044
Convert -222221000000 (base 3) to base 9.
-887000
Convert 2142256 (base 8) to base 5.
121342023
Convert -10210012020210 (base 3) to base 10.
-2011494
aba781 (base 15) to base 4
133032203113
What is 8b417 (base 14) in base 5?
41311232
Convert -3357426 (base 12) to base 7.
-146322105
1000100101000110011 (base 2) to base 8
1045063
Convert -b803c (base 13) to base 3.
-121212010211
Convert 7b10c (base 13) to base 10.
224275
1222233132 (base 4) to base 11
279538
Convert -341701 (base 8) to base 4.
-130033001
What is 10101010011100000011 (base 2) in base 12?
298003
Convert -2b715 (base 12) to base 4.
-33001001
13001011 (base 4) to base 16
7045
3cc272 (base 13) to base 16
16a28e
Convert 64c66 (base 13) to base 12.
8958a
f6448 (base 16) to base 5
224234322
What is 2501426 (base 9) in base 11?
849210
546dc4 (base 15) to base 4
33112013032
Convert -1126417 (base 11) to base 2.
-111100001000011001110
Convert 120a6 (base 13) to base 15.
9c11
What is 1220122211100 (base 3) in base 12?
410539
What is 12553364 (base 9) in base 8?
27437205
110000100110000001000 (base 2) to base 6
54043520
What is -101110000100001010111111 (base 2) in base 7?
-204433104
Convert 223130300 (base 4) to base 13.
6300b
-135030 (base 6) to base 5
-402022
What is 11b59c (base 14) in base 4?
2110110312
-1121233211 (base 4) to base 6
-11513445
-136642030 (base 7) to base 14
-12b9017
Convert 1110105440 (base 6) to base 11.
68885a7
Convert -549633 (base 10) to base 2.
-10000110001100000001
What is 1031302221 (base 4) in base 12?
134489
-b2c212 (base 13) to base 10
-4168062
1519 (base 10) to base 13
8cb
Convert -1325223 (base 6) to base 16.
-1200f
What is -47008a (base 11) in base 14?
-156221
What is -2300212 (base 6) in base 11?
-7a76a
Convert 1012311241 (base 5) to base 8.
7720170
Convert -203154 (base 10) to base 9.
-338606
What is -39c849 (base 14) in base 12?
-801981
-3241013 (base 6) to base 3
-22011202100
What is -111011101110111010011 (base 2) in base 3?
-10200102221202
What is 14110 (base 9) in base 16?
255f
What is 2210000210202 (base 3) in base 11?
919607
What is -611800 (base 9) in base 4?
-1120123320
What is -11011010101110111 (base 2) in base 16?
-1b577
Convert -3db93 (base 16) to base 3.
-110211210200
Convert 1110000010000001 (base 2) to base 9.
86748
What is -1001110100001000111000 (base 2) in base 5?
-1124312411
-4bab (base 15) to base 16
-3f08
Convert 1507a9 (base 11) to base 14.
61a18
What is -49da1 (base 15) in base 3?
-102222122221
Convert -8135 (base 13) to base 16.
-457d
4621990 (base 10) to base 16
4686a6
Convert -4666139 (base 10) to base 9.
-8701658
Convert 112200211200021 (base 3) to base 15.
a44584
Convert 402210034 (base 5) to base 12.
652370
-870177 (base 10) to base 4
-3110130201
What is -600451 (base 7) in base 16?
-18ad2
-1727662 (base 9) to base 13
-279764
What is 2ca59 (base 14) in base 15?
231d4
What is 1504373 (base 8) in base 2?
1101000100011111011
Convert -203022140 (base 7) to base 14.
-1816590
Convert 47a58 (base 15) to base 16.
37c6a
What is -2200000211 (base 3) in base 16?
-cd1e
What is 1000013301 (base 4) in base 13?
92712
-1210142104 (base 5) to base 11
-1655566
Convert -11020 (base 13) to base 5.
-1441114
Convert 58b0d (base 14) to base 8.
646211
-30104340 (base 6) to base 7
-10132665
What is 201011202100 (base 3) in base 2?
1011100001001100010
Convert 22a95 (base 12) to base 4.
23112101
-2416716 (base 8) to base 5
-132203430
1000010011001000100101 (base 2) to base 4
20103020211
What is -220531155 (base 6) in base 7?
-45451325
-34406340 (base 8) to base 2
-11100100000110011100000
What is -5a5b5 (base 12) in base 9?
-205082
-373440 (base 8) to base 14
-34d20
-415e (base 15) to base 10
-13814
What is 1425b2 (base 13) in base 12?
1b8121
Convert -220010221212 (base 3) to base 6.
-14104205
What is -2736336 (base 8) in base 4?
-2323303132
What is -2444b2 (base 12) in base 10?
-588230
434442431 (base 5) to base 2
111001001101100110101
What is -13838521 (base 9) in base 5?
-3230004443
Convert 423483 (base 10) to base 3.
210111220120
What is 253331451 (base 6) in base 3?
100021021212111
What is 1b519 (base 16) in base 4?
123110121
What is 121130002332 (base 4) in base 15?
8baca3
-256591 (base 10) to base 3
-111000222101
Convert 1c03b6 (base 13) to base 14.
148649
What is 30a817 (base 12) in base 5?
143434242
Convert 31b58 (base 15) to base 4.
212201300
184347 (base 13) to base 12
254613
Convert -194591 (base 10) to base 9.
-325832
-63086 (base 16) to base 12
-1768b2
Convert 20113333022 (base 4) to base 2.
1000010111111111001010
What is 124922 (base 10) in base 6?
2402202
What is 4033285 (base 10) in base 13?
ab2a79
What is 21104311 (base 5) in base 2?
101010110111011101
Convert -9386111 (base 11) to base 7.
-260456604
13332123 (base 5) to base 7
1106033
-1af02 (base 16) to base 5
-12012323
Convert 2211100220211 (base 3) to base 11.
937370
Convert -1422140402 (base 5) to base 7.
-43344660
Convert -101462241 (base 7) to base 11.
-3404574
-507279 (base 10) to base 16
-7bd8f
Convert -156001 (base 14) to base 11.
-46a838
Convert 21021201022 (base 3) to base 16.
2302d
Convert -11011111111111010001011 (base 2) to base 13.
-169c9c2
Convert -22456 (base 10) to base 7.
-122320
What is 47412 (base 13) in base 16?
1fd0a
What is -97267 (base 11) in base 12?
-699b5
What is -a1502 (base 15) in base 7?
-4225034
-16038 (base 11) to base 5
-1211133
What is 662cdc (bas | {
"pile_set_name": "DM Mathematics"
} |
-4 + 0) - (33 + -73 + 23).
20
(-17 + 23 - 8) + 6 + 44
48
Evaluate (-3 - -31) + 907 + -896.
39
Evaluate -80 + 38 + -5 + 4 - -68.
25
(-7 - -11) + -16 + 15 - (-1 + -53)
57
What is -4 + -87 - (-60 - 26)?
-5
Calculate -270 + 1 + 126 + 281.
138
Evaluate (-2 + -4 - 3) + 276 + -288.
-21
Evaluate ((20 - 17) + (-45 - -18) - -22) + (121 - -1).
120
Evaluate (2 + -5 - (-1 - 14) - (77 + -61)) + 69.
65
Calculate (-11 - -49) + -8 - (14 - 26).
42
What is 15 + (10 + -8 - (1 - -3 - (12 + 2)))?
27
Calculate -13 + 23 + 3 - (27 + -37).
23
-128 + 1 + -4087 + 4155
-59
What is -2 - (65 + -45 - 27)?
5
15 + -20 + (7 - 39) + 62
25
Evaluate -10 - 2 - (60 + (-65 - -3)).
-10
What is the value of -36 + (-4 - (-16 - -36 - 12))?
-48
10 + (2 - -10) - (-37 - -80)
-21
65 + -1 + 44 + (-28 - 0) + 7
87
130 - (26 + 6 + 11)
87
Calculate -4 - 7 - (18 + -36 + (-78 + 3 - -11)).
71
Evaluate -1 + 6 + 49 + -37 + -10 + 19.
26
What is (8 + 18 - 7) + (24 - 28)?
15
Calculate -49 + 68 - -63 - 63.
19
What is (19 + -20 + 20 - (-3 - -21)) + (1 - -87)?
89
What is -2 - 14 - (-1230 - -1263)?
-49
Calculate 84 - (-18 + 80 - 12).
34
Evaluate 8 - ((-7 - 44) + (4 - (-3 - -6))) - 5.
53
Evaluate (-1 - -11) + (-9 + -12 - -21).
10
Calculate ((0 - 7) + 5 - 51) + 21.
-32
Calculate (-166 - (-99 + 8)) + 27.
-48
What is the value of -2 + -5 + 48 + (-1212 - -1225)?
54
Evaluate -53 + 28 + 18 - -45.
38
What is -6 - ((5 - 4 - 1 - 8) + -30)?
32
Evaluate 8 - -2 - (-189 + 151) - -36.
84
What is 34 + -59 - -39 - (3 + 101 + -2) - -11?
-77
64 + -89 + 200 + -96
79
What is the value of -52 - ((-2 - (-4 + -2)) + -117 + 99)?
-38
What is the value of -70 + (1341 - 1309) + (-15 - -1) + (12 - 1)?
-41
(-10 - (18 + -25)) + (26 - (2 - (-1 + 4)))
24
What is 2 - (15 - (-9 - -8 - 50 - 8))?
-72
-1 + 81 + -2 + (196 - 170) + -25 + -2
77
-73 + 119 + -33 + (124 - -1 - (-3 - 1))
142
What is (1 - -10) + (90 - 45)?
56
What is the value of (-16 - -10 - (10 + -6 + -2) - -10) + 36?
38
Calculate (-13 - 8) + 15 - (2 + 14 - 84).
62
What is -3 + -8 + (15 - 22) - -6 - -10 - -63?
61
Calculate -19 + 20 + 5 + -6 - 11.
-11
Calculate -6410 + 6298 + (-5 - -2) + (3 + 13 - 2).
-101
Calculate -2 + (8 - 2 - (0 - -9 - 2)) + 86.
83
22 + -2 + 11 + -85 + 32
-22
What is the value of ((2 - -1 - 15) + 0 - (37 - 53)) + -57?
-53
Calculate (-892 - -935) + (-2 + (-2 - -11) - -3).
53
What is (2 - 3 - -12) + -43 - -43?
11
Evaluate -4 + (255 + -269 + (0 - (-1 + 102)) - 8).
-127
Calculate 845 - 914 - (6 - 21).
-54
Evaluate 38 + -146 + 304 + -101.
95
What is 25 + (-67 - (-80 + 50))?
-12
Evaluate (3 + -1 - 44) + -7 + 16 + (-13 - -11).
-35
Evaluate -9 - -38 - 78 - 35.
-84
What is 317 - 323 - (-8 + 0) - (-39 - 0)?
41
-61 + (18 - 42 - -40) - -91
46
What is 12 + (2 - 3) + 0 + 17 + 50 + -48?
30
22 + (26 + -21 - 113 - (5 + 14))
-105
What is the value of (11 - -1) + (4331 - 4337)?
6
What is (-37 + (46 - 14) - 22) + 153?
126
What is the value of 50 + 256 + -314 + 43 + -1?
34
What is (1 - (7 - 44) - -6) + 39?
83
Evaluate -5 - (30 + 2 + (-164 - -51)).
76
What is -35 - (-98 - (129 - 244))?
-52
Calculate -2 - ((-15 - -23) + 59 + (5 - (5 - 2))).
-71
What is 6524 + -6521 + (-1 + 3 - (-2 + -61))?
68
What is the value of (10 - (-6 - 32)) + (24 - (16 + 6))?
50
What is the value of (-16 - -10 - -105) + (-11 - 5 - -11) + 14?
108
Evaluate (2 - 36) + -3 + 2 + 52 + -57.
-40
What is (-3 - -23) + (177 - (42 + (-14 - -18)))?
151
What is the value of -89 + -2 - (68 + -46 - (-18 + 55))?
-76
-14 + (15 - 12) - (-3 - (2 + -37))
-43
What is the value of (165 - (91 - -30)) + (0 - (-3 - (0 - 3)))?
44
Calculate (2 - 4) + (6 - 0) - (-139 - -173).
-30
Evaluate -2 + -9 - (-40 + -25 + 71).
-17
Calculate -2 + 7 + -1 - (-66 + 107 + -90).
53
Calculate -1 - -3 - (-12 - (-5 - (-6 + 9))).
6
What is the value of -10 - 5 - (-77 - -4 - -59 - (-121 - -2))?
-120
Evaluate -40 + (-16 - (4 + 1)) + -15.
-76
-19 + 38 + -4 + -15 - 23
-23
Evaluate 28 + 6 + -14 + -9 + -4.
7
Calculate -3 + -5 - (11 + (10 - 32) + -11 + 7).
7
Calculate (-67 - -64) + (7 - 5) + 63 + -2 + 4.
64
Evaluate 78 - 87 - (2 - (4 - (-4 - 82))) - -8.
87
-57 + 15 - (-3 - 90)
51
What is the value of (6 - (23 + 13 + -34)) + -33?
-29
What is ((2 - -12 - -1) + (-238 - -311) - -13) + -5?
96
What is (86 - 21) + -20 - 17?
28
(0 - 52) + (2 - 1) + (660 - 665)
-56
What is (4 - (67 + -59)) + 88?
84
Evaluate -2 - -5 - ((-29 - -87 - 42) + (85 - -1)).
-99
Evaluate (81 - (45 - -14)) + (-6 - 1) + -39.
-24
What is the value of -73 - ((9 - 63) + -69)?
50
What is -34 + -1 + -53 + (0 + 0 - -6 - -2)?
-80
What is (-8 - (43 + -21)) + -13?
-43
What is the value of -1 + (21 + -10 + -18 - 23)?
-31
Calculate 4 - (-59 + (-19 - -40)) - (3 + -3).
42
What is the value of -42 + -1 - (-187 + 254 - 108)?
-2
-65 + 72 - (-5 - (-1 + -3 - (-6 - -5)))
9
Calculate -17 - (-12 + -18) - (-1 - (-4 - -2)).
12
-12 + -18 + 41 + -23 + 9
-3
Evaluate (-9 + 22 - -44) + 13 - 22.
48
Evaluate 54 + (-40 - -16) - -7 - 36.
1
What is -32 + (5 - 37) + (-19 - -37)?
-46
Evaluate 3 + (-11 - (-9 + 6 + -7)) + 8.
10
What is the value of -11 - 2 - (19 + (-10 - 29) + 39)?
-32
What is 98 - (-50 + 74 + (-1 - 13)) - 20?
68
Calculate -22 - ((1 - 4) + -26) - (52 - 2).
-43
Calculate (-50 - 2) + 11 - (82 - 57).
-66
What is (2 - 1) + 38 - (-5 - -2) - (179 + -186)?
49
-102 - (-41 + -16) - (-1 + -18)
-26
What is (10 - 2 - (-5 - -9)) + 90 + (-3 - 15)?
76
What is the value of 121 - (43 + 33 - 22)?
67
Evaluate 10 - -2 - (-158 - -182 - (0 + 26 + -6)).
8
Calculate -4 + -10 + (20 - -3) + -3 + -7 - -47.
46
Calculate (-149 + 55 - (-9 - (12 + -6))) + 13.
-66
(-3 - -7) + -11 - (-5 + -1 - (-4 + 6))
1
What is 6 + -8 + (-128 - -131) - (0 - 1 - 5)?
7
What is -1 + (-11 - -6) - (-3 - (5 + -1)) - 56?
-55
Calculate 40 - ((-41 - -19) + 50 - 22).
34
Calculate 1 + 36 - ((-42 - -48) + (12 - 1)).
20
-1 + 10 + (508 - 541)
-24
What is -28 + (2 - 2) + (245 - 265)?
-48
What is the value of (73 - 46 - (9 + -7)) + -13?
12
What is the value of (-152 - -135) + (-5 - (2 - 5))?
-19
Calculate (-2797 - -2784) + (2 - (0 + -1 + -25)) + 12.
27
Calculate (-2 + -4 + -1 - (-135 + 129)) + 76 + -13.
62
What is 1 - 2 - -12 - (101 + 61 - 128)?
-23
What is (1199 - 1195) + 21 + (2 - 3)?
24
5 - (22 + -27 + -9) - 70
-51
87 - 93 - (-64 - -21)
37
Evaluate 38 + 13 - (102 - 7).
-44
What is 90 + 26 + -87 + -89?
-60
Evaluate (0 - -5) + (28 + -22 - -9) + 0.
20
Evaluate -40 + 18 + -8 + 0 + (-6 - -12 - 15).
-39
Calculate -1 + -6 - (0 - (2 + -29) - (-9 - 6)).
-49
Calculate (18 + -34 - 0) + (5 - -5 - 34).
-40
-65 - (3 - (96 - 26))
2
What is 10 + -28 + 10 + -5 + 12 - -11?
10
What is -356 - -338 - (-1 + 4 - (35 + -37))?
-23
Evaluate 10 + -2 + (-13 - 9) - (11 + -3 + -3).
-19
Evaluate -81 + (29 - (0 - 5)) - -28.
-19
13 - (-44 + (44 - -53))
-40
38 + (10 - 0 - 1) - (-91 - -105)
33
Evaluate 34 - (32 + -5 + -8).
15
-89 + -57 + 23 + 33 - (-2 + 0 - 5)
-83
What is (32 - -2) + -3640 + 3626?
20
What is (12 - 9 - (-30 + 4 + -6)) + 11?
46
What is the value of 3 + -17 + (-32 - (6 - 9)) + -4 + 16?
-31
Evaluate 5 - ((-4 - -27) + (50 - 79)).
11
What is 34 + (4 + -11 + 6 - 8)?
25
Calculate 26 + 1 + 156 + (59 - 212).
30
What is the value of 83 + -32 - 30 - 27?
-6
What is the value of (1 - 62) + -64 + 74 - -15 - (-2 + 2)?
-36
What is 13 + 3 + (99 - (-117 - -171))?
61
What is -44 + 12 - (-336 - -329)?
-25
(-26 - -13) + (-62 - -146)
71
Calculate -85 + (-16 - (-89 + 26)).
-38
What is -80 + (53 - (59 + -65))?
-21
What is the value of 0 - -11 - (-80 + 129 + (12 - 3))?
-47
(29 - -1) + (180 - 210)
0
(7 - 17 - -10) + -59 + (2 - (-16 + 10))
-51
What is (44 - 281) + 235 + 1 + -83?
-84
What is 7 - (11 + (-12 - (-22 - (-1 + -13))) + -6)?
6
What is the value of (-17 - (34 - 45 - 27)) + -43?
-22
Evaluate (292 - 209) + (26 - 172).
-63
Calculate 26 + -74 + (-25 - -18).
-55
0 + -8 + (-17 - -33) - (7 - -11) - -129
119
What is 14 + (28 - (119 + -10))?
-67
Calculate -9 + 2 + 88 + -84 - 10.
-13
Calculate -2 - (-4 + 1 + -31 + 24 + 10 + -29).
27
16 - ((-6 - (5 + 11)) + 20)
18
What is -8 - -73 - (0 - (5 + (-12 - -5) + 11))?
74
What is (-2 - -18) + (-211 - -233) - (1 + 0) - -14?
51
What is 24 + 17 + -5 + -2 + -42 + 46?
38
Evaluate 27 + (-29 - -17 - 39) - 0.
-24
What is the value of -58 + -27 + 50 + 13?
-22
0 + (3 - (18 - 6)) + 1 + -42
-50
What is the value of 31 + -6 + (2 - (2 + -11 + (9 - 2)))?
29
What is -34 - (6 - (5 + 17 + -10))?
-28
What i | {
"pile_set_name": "DM Mathematics"
} |
t g = b - q. What is the units digit of g?
4
Suppose 1410355 + 479981 + 38220 = 108*h. What is the units digit of h?
7
Suppose 4*m - 12*m + 112 = 0. Suppose -m = b - 2. What is the tens digit of 129/b*-2 + (-3)/6?
2
Suppose -33021 = -5*j - 6736. Suppose -11*k + j = -10638. What is the hundreds digit of k?
4
Suppose 0 = k + 4*z + 10, -68 = 3*k - 5*z - 38. Let g(j) = -14*j + 134. What is the hundreds digit of g(k)?
2
Suppose -61*y = -25*y - 108. Suppose -2*b + 0*d + 916 = -y*d, 5*d = -b + 458. What is the units digit of b?
8
Suppose 21 = 16*a - 91. What is the units digit of 22 + 0*1/a?
2
Let c be (46/69)/(4/(-1074)). Let j = 124 + c. Let b = j + 149. What is the tens digit of b?
9
Suppose 4*c + 8 = 0, 0 = -61*d + 58*d + 3*c + 66564. What is the thousands digit of d?
2
What is the hundreds digit of ((-222786)/(-78))/((-88)/(-1144))?
1
Let h(n) = -2885*n - 4876. What is the thousands digit of h(-4)?
6
Suppose -162373 - 490173 - 160521 = -19*s. What is the hundreds digit of s?
7
What is the tens digit of (-63)/7 + 20769 + 4?
6
Let y(w) = 4040*w**2 + 236*w - 705. What is the units digit of y(3)?
3
Suppose -4*g = -g - 186. Let t be 3234/14*g/(-2). What is the tens digit of t/(-105) + 8/10?
6
Let k = 24762 - -20570. What is the hundreds digit of k?
3
Suppose 4*f + 4*c = -c - 7, 2*f = -3*c - 3. Let i be f*((-1)/(-1))/3. What is the tens digit of (-6)/(-24)*-2*(-417 + i)?
0
Suppose -9*d + 20*d + 88 = 0. What is the tens digit of 6407/(-86)*d/1?
9
Suppose 7*l - 2*l = -35, 3*l = 5*r - 398836. What is the units digit of r?
3
Let k = -1522 + 2643. Suppose -24*a + 1719 = -21*a + 3*p, 2*a - k = 3*p. What is the units digit of a?
8
Let s = -114 - -148. Let c(z) = 10*z**2 + 2*z - 2. Let h be c(2). Let u = h - s. What is the units digit of u?
8
Suppose 2 = z, 4*j + 1680 = 16*z - 20*z. Let g = 743 + j. What is the units digit of g?
1
Suppose 3 - 3 = c. Suppose -v + 28 + 12 = 3*p, p + 4*v - 28 = c. Let o(d) = 10*d + 38. What is the hundreds digit of o(p)?
1
Let j(o) = -5*o**2 - 3*o - 36. Let g be j(-9). Let d = g - -711. What is the tens digit of d?
9
Suppose 93 - 1595 = -2*v. Suppose 3586 = 5*s + v. What is the tens digit of s?
6
Let i(f) = -431*f - 985. What is the tens digit of i(-25)?
9
Let i(h) = -4*h**3 - 2*h**2 - h. Let l be i(-1). Suppose 1 = -l*z + 4. What is the units digit of -4 - -119 - (-4)/z?
9
Let t(h) = -16 + 41*h**3 - 88*h**3 - 7*h**2 + 3*h + 48*h**3. What is the units digit of t(10)?
4
Let c(i) = -457*i**3 - 43*i**2 - 16*i - 25. What is the units digit of c(-4)?
9
Let y(x) = 5*x - 25. Let l be y(6). What is the tens digit of (-5)/((-15)/57)*(l + -4)?
1
Let j(d) = -20*d - 59. Let t(s) = s - 1. Let h(m) = j(m) - 4*t(m). Let a be h(-17). Let c = a - 85. What is the hundreds digit of c?
2
Let y = 12687 + -12258. What is the tens digit of y?
2
What is the hundreds digit of (-14575)/22*(-2744)/70?
9
Suppose -g + 4*n + 5804 = 0, 9*g + 17490 = 12*g + n. What is the units digit of g?
8
Let r(p) be the third derivative of -p**6/120 + 9*p**5/20 - 41*p**4/12 + 5*p**3 - 250*p**2. What is the hundreds digit of r(20)?
1
Let o = 144286 - 101003. What is the units digit of o?
3
Let o be (-12176)/(-48) - ((-4)/(-6) + -1). Suppose -2*b = -q - 254, -2*b + q + o = 5*q. Suppose b = 3*m - 20. What is the tens digit of m?
4
What is the tens digit of 1017*65/(-10)*16/(-3)?
5
Suppose -257*a + 17658 = 2*q - 255*a, -5*q - a + 44157 = 0. What is the tens digit of q?
3
Suppose -10*b = -3*v - 13248, 2*v - 3609 - 1671 = -4*b. What is the tens digit of b?
2
Suppose 21074 = 3*d - g, -228*d - 2*g - 7023 = -229*d. What is the thousands digit of d?
7
Let x(s) be the third derivative of -13*s**6/20 - s**5/20 - 5*s**4/8 - 13*s**3/6 - 34*s**2. What is the tens digit of x(-2)?
2
Let v(p) = -149*p**2 + 9*p - 20. Let w(r) = 145*r**2 - 8*r + 21. Let k(y) = -7*v(y) - 6*w(y). What is the hundreds digit of k(1)?
1
Let m(l) = 262*l + 955. What is the units digit of m(16)?
7
Suppose j + 4109 = 5*x - 5040, j = 1. What is the tens digit of x?
3
Let u = 852 - 845. Suppose -2*k - 1592 = -u*k - 3*m, -1276 = -4*k - 3*m. What is the tens digit of k?
1
Let m(z) = -6*z**3 - 10*z**3 - 5*z**3 + 25*z**3 + 10 - 5*z**3 - 72*z + 29*z**2. What is the units digit of m(24)?
2
Suppose 16*w = 18*w - 6, 3*l - 42 = -5*w. Suppose -5*n + 5*a - 275 = 0, 0*a - 3*a = 2*n + 90. What is the units digit of (n/l)/(3/(-45))?
5
Let o(q) be the first derivative of 6*q**2 + 12*q - 130 + 14*q + 115 + 2*q**2. What is the units digit of o(6)?
2
Let t(z) = -136*z - 4360. What is the hundreds digit of t(-47)?
0
Let w = 0 + -18. Let g = -16 - w. What is the tens digit of -3 + (g + -3)*-42?
3
Let o(l) = 13*l - 109. Let m be o(8). Let s(b) = b**3 + 11*b**2 + 8*b + 9. What is the units digit of s(m)?
9
Let x(d) = 36*d**2 + 236*d - 3393. What is the units digit of x(14)?
7
Suppose -36*z = -142 + 34. Suppose 37*r - z*r - 18292 = 0. What is the hundreds digit of r?
5
Let z be (48/20)/(1*6/460). Suppose 0 = n + t - 4*t - 110, -2*n - 3*t + z = 0. Suppose 5*o = -n + 473. What is the units digit of o?
5
Let h be ((-12)/(-6))/(14/21). Suppose 7531 = 4*z + 4*x + 63, 0 = h*x + 15. What is the units digit of z?
2
Let g(w) = 5*w**2 - 13*w - 46. Let t be g(-9). Suppose 15*v - 22*v + t = 0. What is the tens digit of v?
6
Let b(c) = c**3 + 13*c**2 - 8*c + 14. Suppose 4*v + 197 - 149 = 0. What is the tens digit of b(v)?
5
What is the tens digit of (-1)/11 + 23781420/429 + (-12)/(-22)?
3
Suppose 5*b - 3652 = -2*k, -5528 = -3*k + 67*b - 62*b. What is the tens digit of k?
3
Let f = 817 + -812. Suppose 10*a - 6*a - 2*w = 6440, -f*a + 3*w = -8050. What is the units digit of a?
0
Let c(f) = 201*f**2 - 27*f + 50. What is the hundreds digit of c(6)?
1
What is the tens digit of 2405024/672 + (2/21 - 0)?
7
Let o = 14618 + 8133. What is the thousands digit of o?
2
Suppose -s = -5*u + 9, 2*s = -2*u + 3 + 3. Let z(b) = -3*b + 51. Let t(q) = -5*q + 102. Let i(w) = u*t(w) - 5*z(w). What is the tens digit of i(26)?
7
Suppose -2*a = 0, -n = -0*n - 4*a - 2. Suppose -d - m = -2*d - 202, n*d - 3*m = -404. Let v = -46 - d. What is the hundreds digit of v?
1
Suppose -8955 + 1798 = 17*a. Let s = 953 + a. What is the units digit of s?
2
Suppose 2*w + 0*w - 464 = 2*b, 3*w - 4*b = 694. Let l = 124 + 38. Let d = w - l. What is the units digit of d?
2
Suppose 2*f = 3*f - 2, -5*q - f + 317 = 0. Let a be q/(-18)*(0 + 32/(-14)). Suppose -a*n = -9*n + 15. What is the tens digit of n?
1
What is the tens digit of (14260/(-690))/(2/(-831) + 0)?
8
Suppose 52 = 37*c - 63*c. What is the units digit of (-1 - 4) + c + 751?
4
Suppose -25*h + 38 = -37. Suppose 0 = h*b + 5*b - 1904. What is the tens digit of b?
3
Let i = -8226 + 34545. What is the thousands digit of i?
6
What is the units digit of (-48)/(-40) + 490384/80?
1
Let g = -131 + 141. Suppose -g*n = -18*n + 1920. What is the units digit of n?
0
Let z(r) = -14*r**2 + 759*r - 15. What is the thousands digit of z(40)?
7
Suppose 12*y - 12 = 16*y. Let i be 10/y*(2 - (-3)/(-6)). Let w(r) = 4*r**2 + 8*r + 4. What is the units digit of w(i)?
4
Let s = 540 + 6692. What is the hundreds digit of s?
2
Suppose -9*u + 6775 + 14249 = 0. Let a = u - 1289. What is the hundreds digit of a?
0
Let h(j) be the third derivative of j**5/60 - j**4/24 + 11*j**3/6 - 6*j**2. Let x be h(7). Let k = 116 - x. What is the units digit of k?
3
Suppose 0 = -a + 8364 - 399. What is the hundreds digit of a?
9
Suppose v = 2*d - 984, 0 = 2*d - 10*v + 7*v - 980. What is the hundreds digit of d?
4
Let s(c) be the third derivative of c**5/60 + 5*c**4/24 + 8*c**3/3 + 41*c**2. What is the hundreds digit of s(-15)?
1
Let d = 43 + -34. Let g be (3/(d/(-93)))/((-3)/6). Let w = g + 58. What is the tens digit of w?
2
Suppose -3323890 = -277*n + 216*n. What is the thousands digit of n?
4
What is the tens digit of (247/(-741))/((-125572)/(-125574) + -1)?
2
Let b(g) = 3*g + 3 - 2*g**3 + g**3 - 3*g**3 + 2*g**2. Let u be 12/30 + 17/(-5). What is the hundreds digit of b(u)?
1
Let x(j) = -7*j**3 + 2*j**2 - j. Let m be x(1). Let z be 657/m*2/3. Let d = z + 113. What is the tens digit of d?
4
Suppose v - 916 = 5*u, 0 = -3*v - 13*u + 9*u + 2786. What is the units digit of v?
6
Suppose 2757160 = 2240*m - 2184*m. What is the ten thousands digit of m?
4
Let k = -426 - -445. Suppose -17*i + | {
"pile_set_name": "DM Mathematics"
} |
r when 50163 is divided by 3.
0
Calculate the remainder when 809071 is divided by 573.
568
Calculate the remainder when 9114 is divided by 32.
26
Calculate the remainder when 122079 is divided by 61034.
11
What is the remainder when 77813 is divided by 25934?
11
Calculate the remainder when 233010 is divided by 73.
67
What is the remainder when 104145 is divided by 17357?
3
What is the remainder when 11005 is divided by 23?
11
Calculate the remainder when 1083 is divided by 411.
261
Calculate the remainder when 380139 is divided by 7.
4
Calculate the remainder when 241 is divided by 24.
1
Calculate the remainder when 13365 is divided by 3322.
77
Calculate the remainder when 1667 is divided by 4.
3
What is the remainder when 142113 is divided by 45?
3
What is the remainder when 4216 is divided by 1305?
301
Calculate the remainder when 12451 is divided by 461.
4
Calculate the remainder when 671 is divided by 511.
160
What is the remainder when 6165563 is divided by 267?
266
What is the remainder when 61264 is divided by 61254?
10
What is the remainder when 1055 is divided by 197?
70
What is the remainder when 63518 is divided by 2645?
38
Calculate the remainder when 2459623 is divided by 43.
23
What is the remainder when 13122 is divided by 469?
459
Calculate the remainder when 1338 is divided by 33.
18
What is the remainder when 145 is divided by 42?
19
Calculate the remainder when 37472 is divided by 107.
22
Calculate the remainder when 138918 is divided by 356.
78
What is the remainder when 60137 is divided by 6?
5
What is the remainder when 1196 is divided by 53?
30
Calculate the remainder when 33014 is divided by 3657.
101
What is the remainder when 34980 is divided by 332?
120
What is the remainder when 25399 is divided by 160?
119
Calculate the remainder when 5324 is divided by 2654.
16
Calculate the remainder when 9441 is divided by 2901.
738
What is the remainder when 9359 is divided by 208?
207
What is the remainder when 137679 is divided by 24?
15
Calculate the remainder when 8623 is divided by 135.
118
What is the remainder when 2443913 is divided by 610977?
5
Calculate the remainder when 41635 is divided by 10.
5
Calculate the remainder when 7528 is divided by 235.
8
Calculate the remainder when 16564 is divided by 720.
4
What is the remainder when 32331 is divided by 34?
31
Calculate the remainder when 11231 is divided by 50.
31
Calculate the remainder when 59409 is divided by 457.
456
What is the remainder when 530351 is divided by 942?
5
Calculate the remainder when 13645 is divided by 75.
70
Calculate the remainder when 24277 is divided by 199.
198
What is the remainder when 609 is divided by 289?
31
Calculate the remainder when 10846 is divided by 184.
174
What is the remainder when 4241 is divided by 249?
8
What is the remainder when 122031 is divided by 20?
11
What is the remainder when 5609 is divided by 122?
119
What is the remainder when 69864 is divided by 17456?
40
Calculate the remainder when 13392 is divided by 558.
0
What is the remainder when 80315 is divided by 320?
315
What is the remainder when 18289 is divided by 99?
73
What is the remainder when 15568 is divided by 105?
28
What is the remainder when 124898 is divided by 54?
50
Calculate the remainder when 49226 is divided by 8204.
2
What is the remainder when 232051 is divided by 38?
23
What is the remainder when 71499 is divided by 17874?
3
Calculate the remainder when 12610 is divided by 229.
15
What is the remainder when 5068 is divided by 101?
18
Calculate the remainder when 5219 is divided by 746.
743
What is the remainder when 1180931 is divided by 98410?
11
What is the remainder when 57615 is divided by 19185?
60
Calculate the remainder when 133935 is divided by 63.
60
What is the remainder when 34549 is divided by 15?
4
Calculate the remainder when 10631 is divided by 1236.
743
What is the remainder when 57986 is divided by 122?
36
Calculate the remainder when 26339 is divided by 61.
48
What is the remainder when 8917 is divided by 448?
405
What is the remainder when 29315 is divided by 29305?
10
What is the remainder when 3242803 is divided by 101?
97
What is the remainder when 55911 is divided by 1803?
18
Calculate the remainder when 2080 is divided by 1403.
677
What is the remainder when 790 is divided by 736?
54
What is the remainder when 15906 is divided by 15895?
11
Calculate the remainder when 87318 is divided by 43655.
8
What is the remainder when 603611 is divided by 414?
413
What is the remainder when 6304 is divided by 78?
64
Calculate the remainder when 75232 is divided by 37592.
48
Calculate the remainder when 13680 is divided by 3416.
16
What is the remainder when 1600 is divided by 269?
255
Calculate the remainder when 467278 is divided by 45.
43
Calculate the remainder when 1062676 is divided by 40.
36
What is the remainder when 2610 is divided by 446?
380
What is the remainder when 7511715 is divided by 718?
717
What is the remainder when 51238 is divided by 183?
181
What is the remainder when 6869 is divided by 683?
39
Calculate the remainder when 23766 is divided by 5828.
454
What is the remainder when 7401 is divided by 529?
524
Calculate the remainder when 40476 is divided by 1498.
30
What is the remainder when 12165 is divided by 12139?
26
Calculate the remainder when 51517 is divided by 2452.
25
What is the remainder when 107017 is divided by 207?
205
Calculate the remainder when 158638 is divided by 79298.
42
What is the remainder when 20084 is divided by 124?
120
What is the remainder when 1987 is divided by 254?
209
Calculate the remainder when 2123 is divided by 35.
23
What is the remainder when 1131 is divided by 293?
252
Calculate the remainder when 1011255 is divided by 3.
0
Calculate the remainder when 9717 is divided by 3237.
6
Calculate the remainder when 5234 is divided by 108.
50
Calculate the remainder when 1863 is divided by 462.
15
What is the remainder when 38383 is divided by 356?
291
Calculate the remainder when 3711 is divided by 130.
71
Calculate the remainder when 10737 is divided by 314.
61
Calculate the remainder when 122445 is divided by 13604.
9
Calculate the remainder when 198 is divided by 33.
0
Calculate the remainder when 5767 is divided by 25.
17
What is the remainder when 546836 is divided by 323?
320
Calculate the remainder when 35892 is divided by 3936.
468
What is the remainder when 831447 is divided by 21880?
7
What is the remainder when 564658 is divided by 15?
13
Calculate the remainder when 108680 is divided by 36194.
98
Calculate the remainder when 28649 is divided by 247.
244
Calculate the remainder when 111961 is divided by 55973.
15
Calculate the remainder when 12089 is divided by 12087.
2
What is the remainder when 95296 is divided by 47642?
12
Calculate the remainder when 132875 is divided by 18.
17
Calculate the remainder when 18152 is divided by 673.
654
What is the remainder when 3317 is divided by 7?
6
What is the remainder when 1842748 is divided by 175?
173
What is the remainder when 2009 is divided by 147?
98
Calculate the remainder when 269026 is divided by 294.
16
Calculate the remainder when 1182 is divided by 26.
12
Calculate the remainder when 21834 is divided by 4365.
9
What is the remainder when 147147 is divided by 778?
105
Calculate the remainder when 77364 is divided by 25786.
6
What is the remainder when 2703 is divided by 5?
3
Calculate the remainder when 28185 is divided by 30.
15
What is the remainder when 4487 is divided by 42?
35
Calculate the remainder when 6739 is divided by 6689.
50
Calculate the remainder when 323377 is divided by 230.
227
What is the remainder when 7716 is divided by 234?
228
What is the remainder when 45216 is divided by 104?
80
What is the remainder when 239660 is divided by 19968?
44
What is the remainder when 1176 is divided by 33?
21
What is the remainder when 288895 is divided by 10?
5
What is the remainder when 168918 is divided by 4?
2
What is the remainder when 28804 is divided by 588?
580
What is the remainder when 46492 is divided by 21?
19
What is the remainder when 20413 is divided by 733?
622
Calculate the remainder when 501996 is divided by 82.
74
Calculate the remainder when 115077 is divided by 168.
165
Calculate the remai | {
"pile_set_name": "DM Mathematics"
} |
2
Suppose -20/3*b**2 - 5/3*b**5 + 10*b**3 - 40/3*b + 5/3*b**4 + 0 = 0. Calculate b.
-2, -1, 0, 2
Let f(k) be the second derivative of 1/3*k**2 + 1/18*k**3 + 0 - 4*k - 1/36*k**4. Factor f(d).
-(d - 2)*(d + 1)/3
Let v(z) be the second derivative of z**4/24 + z**3/6 + z**2/4 - 11*z - 1. Solve v(f) = 0 for f.
-1
Let y be (3 - 2)/((-9)/(-3)). Factor 0*c**2 - 4/3*c**3 + c + y.
-(c - 1)*(2*c + 1)**2/3
Let r be 4/5 + 6/90*-2. Factor -2/3 + 4/3*b - r*b**2.
-2*(b - 1)**2/3
Let b = 979/6 + -2905/18. Let -b*g - 4/3*g**3 + 2/9*g**4 + 8/3*g**2 + 0 = 0. What is g?
0, 2
Let s = 65 - 62. Let u(r) be the first derivative of 0*r + 2 + 2/21*r**s - 1/7*r**2. Suppose u(y) = 0. Calculate y.
0, 1
Let a be 6/2 + 0 + 0. Factor -1/2*p**5 - 1/2*p + 2*p**4 + 2*p**2 - a*p**3 + 0.
-p*(p - 1)**4/2
Let h be (4/(-14)*49/28)/(-1). Find n such that -1/4 + n - 5/4*n**2 + h*n**3 = 0.
1/2, 1
Let j(x) be the second derivative of 0*x**2 + 10*x - 1/6*x**4 + 0 + 0*x**3. Solve j(b) = 0 for b.
0
Let b(r) = r + 19. Let f be b(-17). Let c(g) be the third derivative of 0*g + 1/21*g**3 - 1/210*g**5 + 0 + 2*g**f + 0*g**4. Factor c(n).
-2*(n - 1)*(n + 1)/7
Let i = 50781985/74754303 + 2/315419. Let p = i + -1/79. Suppose -4*c**3 - p*c**5 - 2/3*c + 0 - 8/3*c**4 - 8/3*c**2 = 0. What is c?
-1, 0
Let x = -11 + 17. Suppose 2*j**2 - 8*j**2 + 5*j**2 + 4*j**2 - x*j = 0. What is j?
0, 2
Let w(h) be the second derivative of -7*h**5/120 - 2*h**4/9 - h**3/9 + 2*h. Factor w(r).
-r*(r + 2)*(7*r + 2)/6
Let q(f) = -f - 10. Let r be q(0). Let w be (-2)/r - (-21)/45. Find i such that 0 - w*i + 8/3*i**2 = 0.
0, 1/4
Let o be 245/28 - 1/(-4). Suppose m + s = -s, 5*s = 2*m - o. Suppose -5*v**2 + 5*v**4 + 7*v**3 - m*v**3 + 4*v**3 - 7*v**5 - 2*v = 0. Calculate v.
-1, -2/7, 0, 1
Let g = 179/2 - 88. Determine x so that 0 - 3/2*x - g*x**2 = 0.
-1, 0
Let a(g) be the second derivative of 0 + 1/60*g**4 + 0*g**2 - 7*g + 0*g**3. Factor a(r).
r**2/5
Suppose 5*l = 2*j - 20, -2*l = -3*j + 24 - 16. Factor 0 + 1/7*u**3 + 2/7*u**2 + j*u - 1/7*u**4.
-u**2*(u - 2)*(u + 1)/7
Suppose 17 = q + 14. Let -14/3*w**2 + 0 - 10/3*w**q + 4/3*w + 10*w**5 + 38/3*w**4 = 0. Calculate w.
-1, 0, 1/3, 2/5
Let u = 183 + -913/5. Factor u*h**2 + 8/5*h + 8/5.
2*(h + 2)**2/5
Let m(u) = u**3 + 25*u**2 - 4*u - 98. Let q be m(-25). Factor 0 - 2/3*w + 1/3*w**q.
w*(w - 2)/3
Factor 13/3*y + 7/3*y**4 + 9*y**2 + 2/3 + 23/3*y**3.
(y + 1)**3*(7*y + 2)/3
Let a(l) be the second derivative of 0 + 1/48*l**4 - 1/168*l**7 + 1/80*l**5 - 1/120*l**6 + 0*l**3 + 2*l + 0*l**2. Let a(r) = 0. Calculate r.
-1, 0, 1
Let x(r) = 2*r**3 + r**2 - 2*r + 4. Let n be x(0). Let q(a) be the second derivative of -a**2 + 2/3*a**3 - 1/6*a**n + 0 + a. Factor q(w).
-2*(w - 1)**2
Let k be 5 - 54/(-12)*(-16)/15. Determine h so that -k*h**2 + 0 + 1/5*h**3 - 2/5*h = 0.
-1, 0, 2
Suppose 3*f - 8*g + 4*g - 26 = 0, 5*g + 17 = -4*f. Suppose -w + f*k = -0*k + 4, -28 = -3*w - 4*k. Factor 2*x**3 - 2*x + 0*x + 2*x**w - 2*x**2 + 0*x**4.
2*x*(x - 1)*(x + 1)**2
Let l(v) be the second derivative of 2*v**6/105 - 9*v**5/35 + v**4 - 38*v**3/21 + 12*v**2/7 + 2*v. Factor l(g).
4*(g - 6)*(g - 1)**3/7
Let m = -3 - -4. Suppose k - 5 = -m. Factor 4*n + 6*n**4 - 4*n + 5*n**3 + 5*n**3 + k*n**2.
2*n**2*(n + 1)*(3*n + 2)
Factor -3/4*w - 1/4*w**2 + 1.
-(w - 1)*(w + 4)/4
Let y(h) = h**2 + 55*h + 252. Let t be y(-50). What is w in -1/4*w**t + 0 - 1/4*w = 0?
-1, 0
Let h(b) be the third derivative of b**8/224 + b**7/84 - 7*b**6/240 - 3*b**5/40 + b**4/12 + b**3/3 - 41*b**2. Determine u, given that h(u) = 0.
-2, -1, -2/3, 1
Let i(t) be the second derivative of t**5/110 - t**4/66 - 2*t. Suppose i(c) = 0. What is c?
0, 1
Suppose 30 + 20 = 5*j. Suppose 7*d = j*d. Factor d - 1/5*v**2 - 2/5*v.
-v*(v + 2)/5
Let b(o) be the first derivative of -1/2*o**4 + o**3 - o**2 + 1/10*o**5 + 3 + 1/2*o. Factor b(d).
(d - 1)**4/2
Let u = 1/220 - -8/55. Let i(m) be the third derivative of -u*m**5 - 2*m**2 - 1/40*m**6 + 0*m + 0 - 1/2*m**3 - 3/8*m**4. Solve i(j) = 0 for j.
-1
Find z, given that 8/11*z + 0 + 0*z**2 - 2/11*z**4 - 6/11*z**3 = 0.
-2, 0, 1
Let v(i) be the first derivative of -2*i**5/75 + i**4/30 + 2*i**3/45 - i**2/15 + 29. Solve v(f) = 0.
-1, 0, 1
Suppose 3*n = -0*n + 9. Let 3*k + 1 + k**2 - 4 + 2*k**2 - 4*k**3 + k**n = 0. Calculate k.
-1, 1
Let f = -185 + 187. Suppose -3/2*n**f - 3*n - 3/2 = 0. What is n?
-1
Suppose 7*p = 15 - 1. Let q be (-1)/(-3) + 2/(-24). Factor -q*f + 0 + 0*f**p + 1/4*f**3.
f*(f - 1)*(f + 1)/4
Solve 8/7 + 10/7*k + 2/7*k**2 = 0.
-4, -1
Suppose -3*f + 4*f = -4*i - 5, 2*f - 3*i - 23 = 0. Let o = 8 - f. Solve -1/2*a - 1/2*a**2 + o = 0 for a.
-2, 1
Let i(n) be the second derivative of n**6/15 + n**5/6 + n**4/12 + 3*n**2/2 - n. Let d(f) be the first derivative of i(f). Let d(c) = 0. Calculate c.
-1, -1/4, 0
Let b = 5 + -3. Let s(f) = -f**2 - 18*f + 1. Let h be s(-18). Solve -3 + b*n**2 - n - h - n = 0 for n.
-1, 2
Let v(c) = c. Let j(l) = -12*l**2 + 33*l + 24. Let z(w) = -j(w) + 5*v(w). Solve z(h) = 0 for h.
-2/3, 3
Let h = -39/2 - -703/36. Let q(x) be the second derivative of -h*x**4 + 0*x**3 + x + 0 - 1/90*x**6 + 0*x**2 + 1/30*x**5. Let q(t) = 0. Calculate t.
0, 1
Let n(r) = 2*r**2 + 26*r + 24. Let d be n(-12). Factor 2/3*w**5 + 0*w + 10/9*w**4 + 0*w**2 + d + 4/9*w**3.
2*w**3*(w + 1)*(3*w + 2)/9
Let v(g) be the third derivative of 5*g**8/336 - 17*g**7/210 + 7*g**6/40 - 11*g**5/60 + g**4/12 - 10*g**2. Factor v(d).
d*(d - 1)**3*(5*d - 2)
Let q(d) be the third derivative of -d**6/120 - d**5/30 - d**4/24 + 7*d**2. Determine m so that q(m) = 0.
-1, 0
Let u(w) be the third derivative of -w**6/1800 + w**5/600 - w**3/2 + 2*w**2. Let g(i) be the first derivative of u(i). Let g(k) = 0. What is k?
0, 1
Let c be (3/10)/((-48)/440). Let k = -25/12 - c. Factor 0*w - 1/3*w**2 + 0 - 1/3*w**4 + k*w**3.
-w**2*(w - 1)**2/3
Let d(f) be the first derivative of -f**3 + 9*f**2 - 27*f - 5. Factor d(p).
-3*(p - 3)**2
Let m(g) be the first derivative of 3*g**4/32 + 3*g**3/8 + 3*g**2/8 - 23. Find u such that m(u) = 0.
-2, -1, 0
Let t(o) be the third derivative of o**6/120 + 11*o**5/60 + o**4/24 + 7*o**3/3 - 2*o**2. Let j be t(-11). What is r in 8/5*r - 2/5 - 8/5*r**j + 2/5*r**2 = 0?
-1, 1/4, 1
Let p(q) be the first derivative of -q**3/7 + 7. Factor p(a).
-3*a**2/7
Suppose -4*q + 0 = -4. Let p be (-10)/14 + 1/q. Suppose 0 - p*r**2 + 2/7*r = 0. Calculate r.
0, 1
Let t(z) = -5*z**2 - 8*z + 21. Let i(w) = w**2 + 2*w + 1. Let s(k) = -6*i(k) - 2*t(k). Determine o, given that s(o) = 0.
-4, 3
Let c(y) be the third derivative of y**6/48 + 5*y**5/24 + 5*y**4/6 + 5*y**3/3 + 10*y**2. Factor c(p).
5*(p + 1)*(p + 2)**2/2
Suppose q = 2*j - 5*j - 13, 0 = -5*q + 3*j + 25. Factor 3/5*g**3 + 0*g**q - 3/5*g + 0.
3*g*(g - 1)*(g + 1)/5
Let d(x) be the third derivative of 0 + 1/12*x**4 - 1/60*x**5 - 1/6*x**3 + 0*x - 3*x**2. Factor d(t).
-(t - 1)**2
Factor g**3 + 17*g**4 - 3*g**3 - 18*g**4.
-g**3*(g + 2)
Let n be 9/(18/4) - (-12)/(-6). Factor u + n - 1/3*u**2.
-u*(u - 3)/3
Let i(g) = 26*g**2 - 11*g. Let f(c) = 5*c**2 - 2*c. Let s(x) = -11*f(x) + 2*i(x). Determine b so that s(b) = 0.
0
Suppose -r = 3*r - 16. Let v be r/6*18/42. Factor 0*s + 2/7 - v*s**2.
-2*(s - 1)*(s + 1)/7
Let l be (-4 + 4 - (-10)/(-3)) + 4. Let a(d) be the first derivative of 18*d + 2 - 6*d**2 + l*d**3. Factor a(m).
2*(m - 3)**2
Suppose -5*x + i = 0, -4 = 2*x + i + 3. Let h(c) = 0*c + c - 5 + 6. Let m(p) = -p**5 + p**4 - 6*p - 6. Let b(l) = x*m(l) - 6*h(l). Determine o so that b(o) = 0.
0, 1
Let f = 167/380 + -3/76. Determine b so that 2/5*b**5 + 0 + 0*b - 2/5*b**3 - 2/5*b**2 + f*b**4 = 0.
-1, 0, 1
Let r(a) be the third derivative of -a**2 + 1/3*a**4 + 0*a - 1/5*a**5 + 0 + 0*a**3 + 1/30*a**6. Factor r(x).
4*x*(x - 2)*(x - 1)
Let v(z) be the first derivative of 4/3*z + 4/9*z**3 - 5/3*z**2 + 1. Factor v(w).
2*(w - 2)*(2*w - 1)/3
Suppose -59 = -5*h + 61. Let t be h/9 - 1/(-3). Solve -2*z**3 + 7*z + 2*z**2 - 3*z + 0*z**t = 0.
-1, 0, 2
Let g(p) be the first derivative of -4*p**3/3 + 2*p**2 + 8*p - 1. Suppose g(o) = 0. What is o?
-1, 2
Let -3/5*l**3 + 9/5*l + 6/5 + 0*l**2 = 0. Calculate l.
-1, 2
Let u(y) be the second derivative of -y**7/11340 - y**6/1620 - 5*y**4/12 + y. Let k(h) be the third derivative of u(h). Factor k(v).
-2*v*(v + 2)/9
Let q(k) be the second derivative of 4*k + 0 - 1/6*k**3 + 0*k**2 - | {
"pile_set_name": "DM Mathematics"
} |
00101000 (base 2) to base 11
-22716
Convert -6066 (base 7) to base 2.
-100000111010
Convert 14418 (base 9) to base 2.
10011001011010
286 (base 9) to base 8
360
138e7 (base 16) to base 2
10011100011100111
Convert 2318 (base 11) to base 3.
11011202
-1133240 (base 5) to base 8
-51116
Convert -1010010000 (base 2) to base 3.
-220022
Convert 111011100 (base 2) to base 13.
2a8
Convert 1022 (base 3) to base 9.
38
-5b3d (base 14) to base 5
-1002211
Convert -230201 (base 4) to base 2.
-101100100001
Convert 1300 (base 4) to base 11.
a2
Convert -3202 (base 4) to base 8.
-342
What is -1103131 (base 5) in base 2?
-100101011011110
What is 232 (base 12) in base 3?
110002
What is -e38 (base 16) in base 7?
-13420
Convert -60d (base 15) to base 12.
-957
-2456 (base 7) to base 12
-64b
Convert -1421000 (base 5) to base 14.
-aa72
-1000001001 (base 2) to base 14
-293
1024 (base 6) to base 16
e8
Convert -15462 (base 10) to base 3.
-210012200
-5bd (base 14) to base 5
-14042
What is -1011111110 (base 2) in base 10?
-766
What is 4bb6 (base 13) in base 2?
10101000101100
Convert -242c (base 13) to base 12.
-2b58
Convert 11000011 (base 2) to base 8.
303
-6c8 (base 16) to base 7
-5030
Convert 51 (base 15) to base 13.
5b
What is 174a (base 14) in base 6?
31210
Convert -60564 (base 7) to base 15.
-454c
What is -22111200 (base 3) in base 13?
-2a90
Convert -1467 (base 13) to base 12.
-1866
111343 (base 6) to base 13
439b
What is 416 (base 9) in base 16?
153
Convert -4bb (base 13) to base 9.
-1122
-22120102 (base 4) to base 16
-a612
Convert 1001000 (base 2) to base 14.
52
What is 2000200 (base 3) in base 10?
1476
What is d3a9 (base 15) in base 13?
17472
What is 12200 (base 5) in base 2?
1110011101
What is -106424 (base 7) in base 9?
-28148
7115 (base 13) to base 12
9012
Convert 29a4 (base 15) to base 16.
22e1
What is -1333 (base 10) in base 13?
-7b7
What is 15500 (base 7) in base 8?
10411
Convert -262 (base 8) to base 3.
-20121
What is -1068 (base 10) in base 3?
-1110120
-325 (base 8) to base 3
-21220
What is 11023 (base 4) in base 12?
237
What is 66 (base 15) in base 6?
240
What is -210210 (base 4) in base 16?
-924
Convert 2244 (base 6) to base 3.
201201
Convert 8b8 (base 14) to base 16.
6c2
Convert 2260 (base 7) to base 15.
3a1
Convert 10132 (base 9) to base 6.
50515
What is -860 (base 9) in base 2?
-1010111110
Convert 3463 (base 8) to base 16.
733
11001110000 (base 2) to base 16
670
Convert -855a (base 13) to base 11.
-12995
What is -1067 (base 8) in base 16?
-237
Convert 9c (base 13) to base 11.
108
Convert -6778 (base 13) to base 14.
-53b2
Convert -112224 (base 5) to base 2.
-111111100000
130303 (base 5) to base 14
1bca
17b (base 14) to base 15
155
Convert 2221330 (base 5) to base 14.
102b3
What is -100010101010 (base 2) in base 7?
-6316
Convert 20020122 (base 3) to base 5.
121203
Convert -7481 (base 9) to base 13.
-2671
Convert -1770 (base 8) to base 6.
-4412
-1292 (base 10) to base 7
-3524
-ac (base 13) to base 2
-10001110
-1694 (base 13) to base 5
-101312
-220 (base 11) to base 14
-14c
What is -7747 (base 10) in base 4?
-1321003
-1111010011001 (base 2) to base 8
-17231
-1120122 (base 3) to base 12
-7bb
3013013 (base 4) to base 9
18428
-3551 (base 7) to base 13
-79a
What is -1260 (base 7) in base 11?
-3aa
-10041 (base 5) to base 11
-538
Convert -2086 (base 13) to base 4.
-1012120
-236 (base 9) to base 16
-c3
Convert -102323 (base 4) to base 16.
-4bb
802 (base 12) to base 9
1522
What is -3762 (base 14) in base 6?
-112510
-ac6c (base 13) to base 2
-101111000011000
What is 1101101010000 (base 2) in base 12?
4068
What is -66355 (base 9) in base 5?
-2402113
243d (base 14) to base 4
1202313
Convert -996 (base 14) to base 5.
-30041
-33021 (base 10) to base 2
-1000000011111101
What is -122113 (base 4) in base 3?
-2022111
Convert -2220 (base 5) to base 9.
-374
233310 (base 4) to base 14
1188
What is 20300 (base 4) in base 16?
230
-133322 (base 4) to base 3
-2210122
What is -1604 (base 7) in base 5?
-10031
What is 16b (base 16) in base 5?
2423
What is -53e8 (base 16) in base 5?
-1141410
What is -281 (base 11) in base 14?
-199
What is 20020101 (base 3) in base 15?
1531
Convert -14324 (base 11) to base 8.
-47602
What is -1ca1 (base 13) in base 12?
-2630
-123100 (base 4) to base 7
-5041
Convert -28311 (base 11) to base 6.
-510333
Convert -4241 (base 8) to base 9.
-3024
-10521 (base 6) to base 2
-10111010001
Convert 111012 (base 3) to base 11.
2a4
Convert -254 (base 6) to base 16.
-6a
-9899 (base 12) to base 15
-4eb6
Convert 105 (base 14) to base 7.
405
142244 (base 5) to base 7
23226
What is 200212202 (base 3) in base 8?
32703
Convert -331 (base 16) to base 15.
-397
-1203112 (base 6) to base 13
-22826
Convert 2033 (base 8) to base 15.
4a1
-678 (base 14) to base 12
-8aa
-1010110001 (base 2) to base 4
-22301
Convert 2675 (base 9) to base 12.
11b8
33e2 (base 16) to base 10
13282
63234 (base 7) to base 13
710a
-1299 (base 14) to base 3
-11111011
Convert 3045 (base 6) to base 9.
832
Convert 23720 (base 10) to base 15.
7065
What is -637 (base 10) in base 14?
-337
Convert 147a (base 11) to base 3.
2121110
What is 2bbd (base 14) in base 13?
372b
Convert -2d03 (base 15) to base 13.
-4536
Convert a8 (base 14) to base 12.
104
Convert 221112 (base 3) to base 6.
3105
Convert 200102 (base 3) to base 12.
355
Convert 12223 (base 8) to base 6.
40215
What is 441 (base 13) in base 2?
1011011001
Convert -206102 (base 7) to base 6.
-433215
-1652 (base 9) to base 7
-3452
What is -3210 (base 6) in base 16?
-2d6
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6a3
Convert -221302 (base 6) to base 12.
-a832
Convert 4a72 (base 13) to base 11.
7a40
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-10b3
What is 62a (base 16) in base 15?
703
20221 (base 3) to base 10
187
10323323 (base 4) to base 7
112643
What is -16144 (base 8) in base 5?
-213033
2526 (base 7) to base 14
4bd
What is -2040214 (base 5) in base 16?
-8411
What is 231143 (base 5) in base 6?
102230
What is -771 (base 9) in base 15?
-2c1
145050 (base 6) to base 10
14070
-3f1f (base 16) to base 2
-11111100011111
Convert -11234 (base 6) to base 8.
-3106
531 (base 6) to base 8
307
a811 (base 11) to base 10
14290
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-141321
What is -205333 (base 6) in base 3?
-211222210
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114420
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-8c6
486 (base 13) to base 15
376
-1199 (base 10) to base 4
-102233
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2679
What is -15454 (base 6) in base 3?
-10111121
-10453 (base 7) to base 12
-1637
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1102
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7150
What is 4132 (base 10) in base 15?
1357
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4002
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-101111101
What is -8c6 (base 13) in base 8?
-2752
What is 103225 (base 6) in base 7?
33551
-97 (base 15) to base 2
-10001110
What is 2002130 (base 4) in base 12?
49b8
Convert 101324 (base 5) to base 9.
4520
What is -1516 (base 11) in base 15?
-8a3
What is -6 (base 10) in base 7?
-6
What is 1111011111010 (base 2) in base 12?
470a
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2431
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-4a6
What is -40577 (base 8) in base 11?
-11663
Convert 8882 (base 12) to base 15.
46ee
Convert -3210 (base 5) to base 11.
-361
-1456 (base 7) to base 15
-28a
What is -1112111 (base 4) in base 15?
-1985
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-44311
1022201 (base 3) to base 15
444
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2801
-23255 (base 7) to base 3
-22012002
What is 11232 (base 11) in base 13?
751c
10000010001010 (base 2) to base 13
3a3a
131201 (base 4) to base 14
98d
103243 (base 7) to base 12
a491
What is 80db (base 14) in base 4?
11122001
What is -1010001000010 (base 2) in base 10?
-5186
-122221122 (base 3) to base 9
-18848
What is 505 (base 12) in base 6?
3205
784 (base 15) to base 3
2022221
What is 55 (base 9) in base 2?
110010
What is 12213 (base 6) in base 15?
809
What is 23233 (base 4) in base 9?
1024
Convert 662 (base 9) to base 12.
392
Convert -110543 (base 7) to base 5.
-1110414
67 (base 14) to base 15
61
Convert -4611 (base 15) to base 5.
-433431
Convert -1552 (base 7) to base 6.
-2521
Convert -101101 (base 2) to base 4.
-231
What is b28c (base 13) in base 8?
60055
13a5 (base 11) to base 15
809
What is -1214022 (base 5) in base | {
"pile_set_name": "DM Mathematics"
} |
**2*-5 + -1 + sqrt(68) + -1*-4*sqrt(17).
6*sqrt(17) + 9179
Simplify (sqrt(30) + sqrt(30) + sqrt(120)*-5 + (sqrt(120)/sqrt(4)*-2 - sqrt(30)))/((2*sqrt(24) - sqrt(12)/sqrt(2)*-2)*6).
-11*sqrt(5)/36
Simplify (sqrt(216)/(1*sqrt(392) + sqrt(392))*3)/(sqrt(81)*-2*3 + sqrt(81) + -1*sqrt(81)*-2).
-sqrt(3)/42
Simplify (((sqrt(252)/sqrt(9))/sqrt(2))/sqrt(2) + -1)**2 + 3 + sqrt(35)/(3*sqrt(180)).
-35*sqrt(7)/18 + 11
Simplify -2*(sqrt(375) + sqrt(375) + (sqrt(375) - (sqrt(375) - -1*sqrt(375))) + sqrt(375))/sqrt(3)*2 + ((-1*sqrt(440) - sqrt(440))/sqrt(11))/(sqrt(512)*2).
-321*sqrt(5)/8
Simplify (-2 + ((sqrt(2178) + sqrt(2178) + (sqrt(2178) + 1 - sqrt(2178)))**2 + sqrt(18))*-1 + 0)*-6 + -1.
810*sqrt(2) + 52289
Simplify -5 + (-1*(sqrt(98) - (sqrt(98)*1 + sqrt(98)))**2 - ((sqrt(98) + (sqrt(98) + -1 - sqrt(98)))**2 + -2)) + 2 + 2*(-1 + sqrt(288))**2 + 5.
-34*sqrt(2) + 385
Simplify sqrt(119)/(sqrt(7)*-1) + 2 + (sqrt(17) - sqrt(119)/sqrt(7))**2 - ((sqrt(2499) + -1*sqrt(2499))/(sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(48)))*2))**2.
-sqrt(17) + 2
Simplify (-6*(sqrt(28) + sqrt(2800)*2 + (sqrt(448)*-3 - sqrt(28))))/(sqrt(196) + (sqrt(196)*4 - sqrt(196)) + ((sqrt(400) - sqrt(4) - sqrt(4)) + sqrt(4))*5).
-48*sqrt(7)/73
Simplify ((-4*(sqrt(81)*1 + sqrt(81)))/sqrt(3))/(sqrt(225) - (sqrt(225) + 3*sqrt(225)*-2 - sqrt(225) - sqrt(225))).
-sqrt(3)/5
Simplify ((sqrt(102) + sqrt(102)*-2)/sqrt(6) - sqrt(17))*-1*-4 + (1 + sqrt(1377) - sqrt(1377))*-3 + 5 + 1.
-8*sqrt(17) + 3
Simplify (6*(sqrt(85) + 1*sqrt(85) + sqrt(85)) + sqrt(85) + -5*sqrt(85)*2)/(-1*2*sqrt(5)*5)*1.
-9*sqrt(17)/10
Simplify 3*6*(1 + (((-1*sqrt(76))/sqrt(4) - (-1 + sqrt(19) + sqrt(19) + -2))*3 + -3)**2).
-1944*sqrt(19) + 28368
Simplify -2*((4 + sqrt(5))*-1 + -6*(sqrt(55)/sqrt(11) + sqrt(5)) + (sqrt(500) + sqrt(500) + (sqrt(500) - -3*sqrt(500)))/(sqrt(48)/sqrt(432)))**2.
-278922 + 2672*sqrt(5)
Simplify (5*3*(-4 + -5*-5*5*(sqrt(343) + -1) + 1))**2.
-50400000*sqrt(7) + 1209545775
Simplify ((1*sqrt(224))/sqrt(8)*-1*-1)/(3*(sqrt(196) - -1*sqrt(196))*-1).
-sqrt(7)/42
Simplify ((sqrt(240) - -4*(-1*sqrt(240) - sqrt(240)))/(sqrt(768)*-2 + sqrt(768) - sqrt(768)))/(sqrt(36)*-5 + -1*sqrt(576) + sqrt(576)).
-7*sqrt(5)/240
Simplify (sqrt(130) + -1*sqrt(130)*5 + sqrt(130) + -3*sqrt(130)*-2)/(5*sqrt(110)/(sqrt(1331) + (sqrt(1331)*-2 - sqrt(1331)))) + -2.
-66*sqrt(13)/5 - 2
Simplify (5 + sqrt(1216) + 5 + sqrt(1216)*-1 + sqrt(95)/sqrt(320)*-3)**2.
-15*sqrt(19)/2 + 6571/64
Simplify ((-1*sqrt(45))/sqrt(9) - (-2*sqrt(405) + sqrt(405)) - 5*sqrt(45)*-1)**2 - (1*(sqrt(45) + 1) + sqrt(45) + -5 + (sqrt(720) + -1 - sqrt(720))).
-6*sqrt(5) + 2650
Simplify 5 + (sqrt(1215) + 4*-1*sqrt(1215))/((sqrt(3) + sqrt(108)*-2)*-2).
-27*sqrt(5)/22 + 5
Simplify (-5*sqrt(144)/(sqrt(16)/(sqrt(2) + 1*sqrt(2))))/((sqrt(3630)*-1)/(sqrt(5) + sqrt(5) + sqrt(20)*6)).
140*sqrt(3)/11
Simplify ((((sqrt(950) - sqrt(38))*3 + sqrt(38) - sqrt(38)) + sqrt(152)/(sqrt(4)*3 + sqrt(4)))/((sqrt(6) + 4*sqrt(54))/((sqrt(9)*2)/sqrt(3))))**2.
45619/676
Simplify (sqrt(396) + 2 + 3 + sqrt(396)*1*-3 + 0 + sqrt(396) + 1 + -2*(sqrt(396) + 0) + 2)**2.
-288*sqrt(11) + 3628
Simplify (3*sqrt(972)*2)/(sqrt(9) + sqrt(36)*4 + sqrt(45)/(sqrt(25)/sqrt(5) + sqrt(5))).
72*sqrt(3)/19
Simplify (sqrt(48) - (sqrt(48) + (sqrt(240) + 3*sqrt(240))/sqrt(5))**2) + (-4*(sqrt(48) + 1))**2 - (-3 + sqrt(192)/((sqrt(36) - sqrt(144) - sqrt(36))/sqrt(9))).
-413 + 134*sqrt(3)
Simplify sqrt(1152) + -2 + sqrt(224)/sqrt(63) - (-2*((2 + sqrt(6)/sqrt(3))*2)**2 + 0).
46 + 172*sqrt(2)/3
Simplify (((sqrt(187) - 1*(sqrt(187) - (sqrt(187) + sqrt(187) + -4*sqrt(187)))) + sqrt(187) - sqrt(187)) + (sqrt(187) + -3*sqrt(187))*-2)/(-6*sqrt(176)*3*2).
-sqrt(17)/72
Simplify -5*(-3 + (sqrt(1377) - (sqrt(1377) - -2*(sqrt(1377)*6 - sqrt(1377))))**2 + -1 + (sqrt(1377) + -1 + 2 - (-5 + sqrt(1377)*2)**2)).
-660820 - 945*sqrt(17)
Simplify (-3*(0 + (1*-1*sqrt(117) + 2*(sqrt(117)*-2 - sqrt(117)))/((sqrt(648)/(sqrt(12) + 2*sqrt(12) + sqrt(12)))/sqrt(6))))**2.
91728
Simplify -1 + sqrt(384)/sqrt(12) - (sqrt(14)/sqrt(28) - ((sqrt(8)/sqrt(4))**2 + -5)) - ((sqrt(36)*2)/sqrt(3))/(sqrt(576)/sqrt(6)).
-4 + 3*sqrt(2)
Simplify (-2*sqrt(170)*2 - (sqrt(170) + (sqrt(170)*-3 - sqrt(170)))*6)/((sqrt(490)*-2 - -1*sqrt(1210))*-3).
14*sqrt(17)/9
Simplify ((-2*sqrt(216))/(sqrt(8) - (-2*sqrt(512) - sqrt(512))) - -6*(sqrt(27)*-1)/sqrt(9)*-6)*2.
1788*sqrt(3)/25
Simplify -4 + (2*(sqrt(1584) + -1*sqrt(1584)*-2) + -2 + sqrt(1584) + (5 + sqrt(1584)*-2 - sqrt(1584)))**2.
288*sqrt(11) + 25349
Simplify (-6*((sqrt(171)*-1 + -1 - (sqrt(171)*1 + 1)) + (sqrt(171) + 1 + sqrt(171) + -2)*-6)**2 + 5)*3.
-603561 + 6048*sqrt(19)
Simplify ((-1*(sqrt(66)*-1 + sqrt(66))*-6*1)/(1*-5*(sqrt(600) - (-2*sqrt(600) + sqrt(600)))))**2.
0
Simplify 0 + (sqrt(143) + -2*-2*sqrt(143) + sqrt(143))/sqrt(11) + (sqrt(1053) + sqrt(1053)*-3 + -1)**2 + 0.
42*sqrt(13) + 4213
Simplify 1*(-4 + ((sqrt(432) + -1*sqrt(432)*1)*5)/(sqrt(225) - (sqrt(225) - -6*-2*sqrt(225) - sqrt(225))))**2.
16
Simplify ((2*sqrt(1260)*-2*-1)/(-5*-4*(sqrt(5) - ((sqrt(180)*-1 - sqrt(180)) + sqrt(180) + sqrt(180)))))**2.
252/25
Simplify (1*2*(3 + (1*sqrt(704) + -2)*-6*3)*-2)**2.
-179712*sqrt(11) + 3673872
Simplify sqrt(648) + (sqrt(648) + sqrt(648)*2 + -1 - sqrt(648) - sqrt(648)) + (-2 + sqrt(648))*3 - ((sqrt(648) + 2 + sqrt(648))**2 + -2 + -4).
-2597 - 54*sqrt(2)
Simplify ((2*sqrt(1029)*-5*3)/(-3*sqrt(252) + sqrt(21)/(sqrt(27)/sqrt(9))))**2.
132300/289
Simplify ((sqrt(280)*2*2 - sqrt(280))/(sqrt(120)/sqrt(108)))/(3*(sqrt(196) - (sqrt(196) - (sqrt(196) + 2*sqrt(196)*6)))).
3*sqrt(7)/91
Simplify (2*sqrt(78)*1 + (sqrt(78) - sqrt(78)*2 - sqrt(78))*6)/(5*sqrt(294)*-2*6).
sqrt(13)/42
Simplify 3*((sqrt(140) + (sqrt(140) + (sqrt(140) - (sqrt(140) + (sqrt(140)*5 - sqrt(140)))) - sqrt(140) - sqrt(140)))/sqrt(5))/(sqrt(324)/sqrt(9))*-4.
16*sqrt(7)
Simplify (((0 + 1*sqrt(128) - sqrt(128) - sqrt(128) - -4*(sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) + 0))))*4*5*1 + -5)*6)**2.
-403200*sqrt(2) + 90317700
Simplify -1 + ((sqrt(150)/sqrt(5) + sqrt(30))/sqrt(10))**2 + -2 + ((-3 + sqrt(243) + 0 - sqrt(243)) + sqrt(243)*-1 + -5)**2 + 3.
144*sqrt(3) + 319
Simplify ((5*(sqrt(156) + -1*sqrt(156) + sqrt(156)) - (-6*(-3*sqrt(156) - sqrt(156)) + sqrt(156)))/(sqrt(48) - ((sqrt(48) - 5*sqrt(48))*-5 + sqrt(48))))**2 + 0.
13/4
Simplify ((sqrt(65)*3 - sqrt(65))*-6 + 2*(sqrt(65)*-1 - sqrt(65)))/((sqrt(250) - 3*sqrt(250))/(-3*sqrt(72))).
-144*sqrt(13)/5
Simplify -4 + 1*((-2*(0 + 1*sqrt(720)) + -1)*-5)**2 + -2.
1200*sqrt(5) + 72019
Simplify 1*-6*(-3*(sqrt(1300) + 2 + -3 - sqrt(1300) - sqrt(1300)) - (-4*(sqrt(1300) + 2)*-5)**2)*-1.
-3129582 - 95820*sqrt(13)
Simplify (2 + (-5 + sqrt(847)*1)*5)*-4*3 + 0.
-660*sqrt(7) + 276
Simplify (5 + (sqrt(405) - (sqrt(405) + 3)) + sqrt(405) + 1 + -2)**2 + 4 + (sqrt(405) + -1 - sqrt(405)) + 1*(3 + sqrt(405)).
27*sqrt(5) + 412
Simplify (5*(sqrt(96) - (sqrt(96) - (sqrt(96) + sqrt(96)*1))*6))/((sqrt(33) - (sqrt(1188)*2 + sqrt(1188)))/(-4*sqrt(44) + sqrt(11))).
980*sqrt(2)/17
Simplify ((-4*(sqrt(70) + sqrt(70)*-1) + sqrt(70) - 5*(2*sqrt(70) - sqrt(70) - sqrt(70)))*6)/(sqrt(40)/(3*sqrt(484))*4).
99*sqrt(7)/2
Simplify (3 + sqrt(38)/sqrt(8) + (sqrt(57)/(sqrt(12)/sqrt(4)))**2 - ((-5 + (sqrt(19) - sqrt(57)/sqrt(3)))**2 - 3*sqrt(57)/sqrt(3))*5)*3.
-309 + 93*sqrt(19)/2
Simplify sqrt(54)/sqrt(2) + sqrt(3)*-4 + -5 + 0 + 0 + sqrt(3) + 5 + 3.
3
Simplify (2*(((0 + sqrt(304) + 1 - -6*(sqrt(304) - sqrt(304)*2)) + 4*(sqrt(304) - (sqrt(304)*2 + -1 + sqrt(304)) - sqrt(304)))*-3 + 5))**2.
-16320*sqrt(19) + 3163216
Simplify 2 + (-5*(1*(sqrt(78) - (sqrt(78) - sqrt(78)*1*2)))/(-4*sqrt(12)/sqrt(2) - sqrt(6) - sqrt(30)/sqrt(20)))**2.
5442/121
Simplify ((-6*(-1 + sqrt(3)) - sqrt(384)/sqrt(8))*6 - ((1 + sqrt(3) + 2*sqrt(3) + sqrt(3) + 2)*-5 + -5))**2.
-4480*sqrt(3) + 7936
Simplify (1*-5*sqrt(95)*2)/(-2*sqrt(30)/sqrt(486)).
45*sqrt(19)
Simplify ((sqrt(156) - sqrt(156)*2*-6) + -3*sqrt(156)*2)/(((sqrt(36) - -2*sqrt(36))/sqrt(3) - sqrt(12)) + sqrt(12)*-2*5)*3.
-21*sqrt(13)/8
Simplify -3*((-5*(-1 + sqrt(3)) - sqrt(48)*-2)**2 + (2*sqrt(3)*-2*-4)**2 + 5).
-2475 - 90*sqrt(3)
Simplify 2 + ((sqrt(68)/sqrt(2) + sqrt(34))*-6)/((sqrt(8)*2)/sqrt(4)) + (sqrt(68) + 2 + -3 + sqrt(17)*-2 + sqrt(17))**2*2.
-10*sqrt(17) + 38
Simplify 2*((2*sqrt(931) + 5 + sqrt(931) - -1 | {
"pile_set_name": "DM Mathematics"
} |
ivative of f(q) wrt q?
-12*q**2
Suppose 0*g = 2*g - 68. Suppose 3*x + 6*w - w = g, 2*w = -5*x + 25. What is the second derivative of -3 + 12*r**5 - 9*r**5 + 3 + x*r wrt r?
60*r**3
Let z(a) be the first derivative of a**5/40 - a**4/8 + a**3 - 1. Let q(n) be the third derivative of z(n). Find the first derivative of q(t) wrt t.
3
Let r(k) be the third derivative of -11*k**4/8 - 13*k**3/3 - 23*k**2. What is the first derivative of r(a) wrt a?
-33
Let t(r) be the third derivative of -r**5/60 + 5*r**4/6 - 28*r**3/3 - 25*r**2. Differentiate t(g) wrt g.
-2*g + 20
Differentiate 23*c**2 - 34*c**2 + 15 - 19*c**2 + 15 with respect to c.
-60*c
Let w(l) = l + 1. Let p be w(1). Find the third derivative of -4*z**4 + 2*z**2 + z**2 - 4*z**p - 3*z**4 wrt z.
-168*z
Let a(l) be the third derivative of -l**6/40 - l**4/6 + 12*l**2. Find the second derivative of a(x) wrt x.
-18*x
Suppose -l - 4 = -3*l. Find the first derivative of 0 + 0*x**2 - 3 + 1 - 3*x**l wrt x.
-6*x
What is the third derivative of -34*p**2 - 11*p**5 - 2*p**2 + 7*p**2 - 15*p**5 wrt p?
-1560*p**2
Let k(b) be the first derivative of -7*b**5/5 + 11*b**2/2 - 6. Find the second derivative of k(w) wrt w.
-84*w**2
Let o(d) be the first derivative of -d**8/336 - d**6/90 + d**3/3 + 4. Let g(j) be the third derivative of o(j). Find the third derivative of g(b) wrt b.
-120*b
Let w(y) = -y + 13. Suppose -k - 4*r + 29 = 0, -2*r - 3 = -2*k + 5. Let l be w(k). What is the derivative of -4 - l + 4 + 2*c**2 + 2*c**2 wrt c?
8*c
Let v = 6 - 2. Suppose 0*f = -v*f. Find the second derivative of -2*h**5 - 2*h + 0*h + f*h**5 wrt h.
-40*h**3
Let r(n) be the second derivative of -n**9/2520 - n**5/40 - n**4/2 - 2*n. Let m(o) be the third derivative of r(o). What is the first derivative of m(d) wrt d?
-24*d**3
Suppose 0 = 4*g + 5 - 17. Find the second derivative of -46*p**2 + 46*p**2 + 2*p**3 - g*p wrt p.
12*p
Find the third derivative of -143 + 9*i**2 + 143 - 2*i**6 wrt i.
-240*i**3
Let g(f) = -27*f**3 + 27*f**2 - 4*f + 4. Let a(v) = -26*v**3 + 27*v**2 - 3*v + 3. Let p(u) = -4*a(u) + 3*g(u). What is the third derivative of p(s) wrt s?
138
Let t(n) = n**4 - 2*n**2 - 8*n. Let z(f) = -2*f**4 + 7*f**2 + 24*f. Let v(q) = -7*t(q) - 2*z(q). Find the second derivative of v(k) wrt k.
-36*k**2
What is the second derivative of -7*k**5 - 24*k**5 - 15*k - 11*k - 3*k wrt k?
-620*k**3
Suppose -28 = -2*i - 3*l, 4*i - 5*l - 12 = -0*l. What is the second derivative of 0*j + i*j + 7*j**2 - 6*j wrt j?
14
Let r = -12 + 20. Find the first derivative of 2*q**3 + 8*q**2 + 3*q**3 - r*q**2 + 3 wrt q.
15*q**2
Let q be 56/9 + (-2)/9. What is the first derivative of -o**4 + q - 1 - 4*o**4 + 0 wrt o?
-20*o**3
Suppose 4*r + 0*r = 8. Find the second derivative of -r*v - v**2 + 3*v + 4*v**2 wrt v.
6
Let y(v) = -2*v. Let j(r) = -18*r + 4. Let k(g) = j(g) - 8*y(g). What is the derivative of k(w) wrt w?
-2
Differentiate 47*n**4 - n + 47 + n - 49 with respect to n.
188*n**3
Let f(p) = -6*p**2 - 3*p - 5. Let y(g) = -13*g**2 - 5*g - 11. Let h(a) = -5*f(a) + 3*y(a). Differentiate h(v) with respect to v.
-18*v
Let d(u) = 28*u**4 - 6*u**3 - 6*u + 30. Let p(l) = -27*l**4 + 5*l**3 + 5*l - 30. Let m(c) = 5*d(c) + 6*p(c). Differentiate m(x) with respect to x.
-88*x**3
Let f(o) = 9*o**2 - 6*o + 1. Let q(m) = -m**2 + m. Let x(t) = f(t) + 6*q(t). What is the derivative of x(l) wrt l?
6*l
Let k(i) = -13*i**2 - 6. Let l(y) = -40*y**2 - 19. Let o(u) = 7*k(u) - 2*l(u). Differentiate o(b) with respect to b.
-22*b
Suppose 0 = 2*d - 9 - 15. Suppose z = 4*z - d. What is the second derivative of 3*p**z + 3*p + 23*p**2 - 23*p**2 wrt p?
36*p**2
Let x(b) be the second derivative of 2*b**7/21 - b**4/3 + 2*b. Find the third derivative of x(u) wrt u.
240*u**2
Let g be 7/28*8*1. Let p be 4 - (1 - 2 - -1). What is the first derivative of 1 - g*b**2 + 5 - p wrt b?
-4*b
Let c(x) be the second derivative of x**8/840 - x**4/12 + x**3/6 - 3*x. Let o(s) be the second derivative of c(s). What is the first derivative of o(f) wrt f?
8*f**3
Let y(b) = 6*b - 5. Let k(l) be the third derivative of l**5/60 - 17*l**4/24 + 7*l**3/3 + 4*l**2. Let f(d) = -6*k(d) - 17*y(d). Differentiate f(q) wrt q.
-12*q
Let s(k) be the first derivative of -k**4/8 - k**3/3 + k**2/2 - 1. Let l(j) be the second derivative of s(j). Differentiate l(d) wrt d.
-3
Let v(q) be the first derivative of q**6/72 + q**5/40 + 4*q**3/3 - 4. Let t(h) be the third derivative of v(h). Find the second derivative of t(c) wrt c.
10
Let k(q) be the third derivative of -q**7/105 + 5*q**3/3 + 8*q**2. What is the first derivative of k(j) wrt j?
-8*j**3
Let v(s) = s**3 + s + 1. Let d(n) = 22*n**3 - 11*n - 4. Let w(x) = -d(x) - 4*v(x). What is the second derivative of w(a) wrt a?
-156*a
Let z(n) = n**2 - 4*n + 2. Let o be z(3). Let y be (-2 - o) + 3 + 0. What is the second derivative of -2*r**2 - 24*r - r**y - r**2 + 20*r wrt r?
-8
Let o = 1 + 2. Suppose 0 = m - 0*m - o. What is the derivative of m*d**2 - 5*d**2 + 3*d**2 - 1 + 0*d**2 wrt d?
2*d
Let j(v) = 3*v**2 + v. Let t(r) = -r**2 - r. Let z = -8 + 9. Let b(g) = z*j(g) + 2*t(g). What is the second derivative of b(d) wrt d?
2
Suppose 0 = -v + 3, b + 0*v + 4 = 3*v. Find the second derivative of -3*k**b - 3*k + 4*k + 0*k wrt k.
-60*k**3
Let f(g) be the second derivative of g - 1/12*g**4 + 0*g**2 + 0 + 1/10*g**5 + 0*g**3. Find the third derivative of f(x) wrt x.
12
Let v(m) be the first derivative of 7*m**6/6 + 7*m**3/3 + 2. What is the third derivative of v(o) wrt o?
420*o**2
Let v(q) be the second derivative of 0 + 1/6*q**3 - q + 0*q**2 - 1/6*q**4. Find the second derivative of v(o) wrt o.
-4
Suppose -8*d + 4*d = -52. Find the second derivative of -11*x + 6*x**2 - 3*x**2 + d*x wrt x.
6
Suppose 0 = l - 4*u + 13, -2*l + u = -u + 2. Let s = -5 - -7. What is the second derivative of -k**2 + k**s + 4*k**2 + 0*k**2 + l*k wrt k?
8
What is the third derivative of z**2 - 6*z**2 + 5*z**4 + 2*z**2 wrt z?
120*z
Let k(z) be the first derivative of -2*z**2 + 2*z + 8. What is the derivative of k(p) wrt p?
-4
Let f(k) be the second derivative of 5*k + 5/12*k**4 + 0*k**3 + 0 + 1/2*k**2. What is the derivative of f(z) wrt z?
10*z
Differentiate 9*h**4 - 29*h + 29*h - 17 + 5*h**4 with respect to h.
56*h**3
Let x(q) be the second derivative of 0*q**3 + 1/5*q**6 + 0*q**2 - 1/12*q**4 + 0*q**5 + 0 + 5*q. What is the third derivative of x(p) wrt p?
144*p
Let t(w) = -3*w**2 + 3*w + 2. Let o(p) = -p**4 + 7*p**2 - 7*p - 3. Let l(d) = 3*o(d) + 7*t(d). What is the first derivative of l(k) wrt k?
-12*k**3
Let u(s) be the first derivative of -6*s**3 + 6*s - 4. What is the derivative of u(k) wrt k?
-36*k
Suppose -5*i - 14 + 41 = -4*g, -2*i + 3*g = -15. What is the second derivative of -10*z - 3*z**i + 6*z - 2*z wrt z?
-18*z
Let l = 4 - 0. What is the third derivative of -105*d**l + 109*d**4 - 3*d**2 - 4*d**2 wrt d?
96*d
Let v(r) be the first derivative of 0*r**3 + 0*r - 5 - 5/2*r**2 + 5/4*r**4. What is the second derivative of v(s) wrt s?
30*s
Let k(x) be the third derivative of 3*x**6/20 - 41*x**4/24 + 29*x**2. What is the second derivative of k(h) wrt h?
108*h
Find the second derivative of 2*z + 2*z**5 - 8*z**5 - z**5 - 10*z wrt z.
-140*z**3
Let t be ((-2)/(-1) - -13) + 1. Suppose 0 = -2*l + t. What is the derivative of l*u + 1 - 2*u**4 - 8*u wrt u?
-8*u**3
Let v(r) be the second derivative of r**5/2 + r**4/3 - 9*r. What is the third derivative of v(u) wrt u?
60
Find the first derivative of 0 - 6 - 1 - 5*f**3 + 10*f**3 wrt f.
15*f**2
Find the third derivative of 23*y**2 - 10*y**2 + y**6 - 4*y**6 wrt y.
-360*y**3
Let g(v) be the third derivative of v**2 + 1/12*v**4 + 0*v**6 + 1/70*v**7 + 0*v + 0 + 0*v**5 + 0*v**3. Find the second derivative of g(d) wrt d.
36*d**2
Suppose m + 1 - 2 = 0. Let a(f) = 13*f**5 + 4*f**2 + 2*f. Let l(r) = -r**5 - r**2 - r. Let b(i) = m*a(i) + 4*l(i). Find the second derivative of b(t) wrt t.
180*t**3
Let k = 16 + -16. Let m be (-27)/(-6) - 2/4. Find the first derivative of k + 1 - 4 + m - p wrt p.
-1
Let u(b) be the second derivative of 0*b**6 - b + 4/21*b**7 + 0*b**3 + 0*b**2 + 3/4*b**4 + 0 + 0*b**5. Find the third derivative of u(a) wrt a.
480*a**2
Find the third derivative of 5*a**2 + 0*a**5 + 11*a**2 - 6*a**2 - 8*a**5 wrt a.
-480*a**2
Find the second derivative of 2*l**2 + 0*l + 3*l - 6*l - | {
"pile_set_name": "DM Mathematics"
} |
t integer?
10
What is the cube root of 4112405 to the nearest integer?
160
What is the eighth root of 1421068 to the nearest integer?
6
What is the tenth root of 2368283 to the nearest integer?
4
What is the cube root of 593392 to the nearest integer?
84
What is the third root of 113203 to the nearest integer?
48
What is the square root of 1966876 to the nearest integer?
1402
What is the third root of 481195 to the nearest integer?
78
What is 248403 to the power of 1/3, to the nearest integer?
63
What is 323732 to the power of 1/6, to the nearest integer?
8
What is the ninth root of 619081 to the nearest integer?
4
What is 9815317 to the power of 1/10, to the nearest integer?
5
What is 15707743 to the power of 1/7, to the nearest integer?
11
What is the square root of 319951 to the nearest integer?
566
What is the sixth root of 3483466 to the nearest integer?
12
What is the square root of 1067542 to the nearest integer?
1033
What is the seventh root of 413926 to the nearest integer?
6
What is the square root of 144192 to the nearest integer?
380
What is the third root of 1386641 to the nearest integer?
112
What is the sixth root of 205110 to the nearest integer?
8
What is the third root of 151090 to the nearest integer?
53
What is the eighth root of 14179819 to the nearest integer?
8
What is the cube root of 276510 to the nearest integer?
65
What is the tenth root of 165936 to the nearest integer?
3
What is the square root of 1893027 to the nearest integer?
1376
What is 20168065 to the power of 1/10, to the nearest integer?
5
What is 728859 to the power of 1/10, to the nearest integer?
4
What is 2455106 to the power of 1/6, to the nearest integer?
12
What is the third root of 1366416 to the nearest integer?
111
What is 256952 to the power of 1/3, to the nearest integer?
64
What is the cube root of 9922362 to the nearest integer?
215
What is the seventh root of 1778656 to the nearest integer?
8
What is the cube root of 721923 to the nearest integer?
90
What is the third root of 14261132 to the nearest integer?
243
What is the third root of 38490 to the nearest integer?
34
What is the square root of 18598711 to the nearest integer?
4313
What is 934920 to the power of 1/3, to the nearest integer?
98
What is 531498 to the power of 1/10, to the nearest integer?
4
What is 548159 to the power of 1/10, to the nearest integer?
4
What is 3247878 to the power of 1/3, to the nearest integer?
148
What is 608227 to the power of 1/7, to the nearest integer?
7
What is 3033493 to the power of 1/5, to the nearest integer?
20
What is 12947932 to the power of 1/8, to the nearest integer?
8
What is 2145377 to the power of 1/5, to the nearest integer?
18
What is the third root of 315911 to the nearest integer?
68
What is 427091 to the power of 1/5, to the nearest integer?
13
What is 600996 to the power of 1/2, to the nearest integer?
775
What is the fourth root of 4525521 to the nearest integer?
46
What is the square root of 260131 to the nearest integer?
510
What is 5246897 to the power of 1/3, to the nearest integer?
174
What is the square root of 75060 to the nearest integer?
274
What is 4992800 to the power of 1/4, to the nearest integer?
47
What is the ninth root of 2487054 to the nearest integer?
5
What is the square root of 820297 to the nearest integer?
906
What is 1988726 to the power of 1/2, to the nearest integer?
1410
What is the square root of 1025838 to the nearest integer?
1013
What is the cube root of 402146 to the nearest integer?
74
What is the sixth root of 2281762 to the nearest integer?
11
What is the sixth root of 4217139 to the nearest integer?
13
What is the third root of 1028198 to the nearest integer?
101
What is the seventh root of 2037608 to the nearest integer?
8
What is the square root of 1818186 to the nearest integer?
1348
What is 518053 to the power of 1/6, to the nearest integer?
9
What is 3066781 to the power of 1/3, to the nearest integer?
145
What is 282731 to the power of 1/3, to the nearest integer?
66
What is 1116844 to the power of 1/3, to the nearest integer?
104
What is 182337 to the power of 1/3, to the nearest integer?
57
What is the cube root of 2544636 to the nearest integer?
137
What is the square root of 2871582 to the nearest integer?
1695
What is the sixth root of 39741735 to the nearest integer?
18
What is the ninth root of 273410 to the nearest integer?
4
What is the square root of 361368 to the nearest integer?
601
What is the cube root of 89402 to the nearest integer?
45
What is the seventh root of 277063 to the nearest integer?
6
What is the seventh root of 374817 to the nearest integer?
6
What is the third root of 4762347 to the nearest integer?
168
What is 958718 to the power of 1/3, to the nearest integer?
99
What is the square root of 12404165 to the nearest integer?
3522
What is 66774 to the power of 1/7, to the nearest integer?
5
What is the fifth root of 17240 to the nearest integer?
7
What is the square root of 46733 to the nearest integer?
216
What is the third root of 94291 to the nearest integer?
46
What is 1669810 to the power of 1/2, to the nearest integer?
1292
What is 6245389 to the power of 1/10, to the nearest integer?
5
What is 33840 to the power of 1/3, to the nearest integer?
32
What is 10210649 to the power of 1/9, to the nearest integer?
6
What is the third root of 237100 to the nearest integer?
62
What is the cube root of 1912305 to the nearest integer?
124
What is the cube root of 907562 to the nearest integer?
97
What is the seventh root of 4153039 to the nearest integer?
9
What is the third root of 436038 to the nearest integer?
76
What is the sixth root of 222755 to the nearest integer?
8
What is the cube root of 21890739 to the nearest integer?
280
What is the square root of 152792 to the nearest integer?
391
What is the square root of 7512149 to the nearest integer?
2741
What is the ninth root of 686635 to the nearest integer?
4
What is 1149212 to the power of 1/4, to the nearest integer?
33
What is 8261724 to the power of 1/2, to the nearest integer?
2874
What is the eighth root of 772073 to the nearest integer?
5
What is the square root of 219809 to the nearest integer?
469
What is 17098559 to the power of 1/3, to the nearest integer?
258
What is 6124907 to the power of 1/2, to the nearest integer?
2475
What is the ninth root of 137467 to the nearest integer?
4
What is the sixth root of 810289 to the nearest integer?
10
What is the sixth root of 976108 to the nearest integer?
10
What is 13784018 to the power of 1/2, to the nearest integer?
3713
What is the cube root of 2479701 to the nearest integer?
135
What is the seventh root of 319895 to the nearest integer?
6
What is the square root of 23346900 to the nearest integer?
4832
What is the cube root of 1592292 to the nearest integer?
117
What is 12420950 to the power of 1/2, to the nearest integer?
3524
What is 197277 to the power of 1/3, to the nearest integer?
58
What is 51340 to the power of 1/2, to the nearest integer?
227
What is the fifth root of 2012883 to the nearest integer?
18
What is the sixth root of 24740691 to the nearest integer?
17
What is 728813 to the power of 1/6, to the nearest integer?
9
What is the cube root of 20259845 to the nearest integer?
273
What is 207869 to the power of 1/5, to the nearest integer?
12
What is the ninth root of 382434 to the nearest integer?
4
What is 4391330 to the power of 1/3, to the nearest integer?
164
What is the eighth root of 2514822 to the nearest integer?
6
What is 8840778 to the power of 1/3, to the nearest integer?
207
What is the third root of 46466 to the nearest integer?
36
What is the square root of 13932000 to the nearest integer?
3733
What is 1965033 to the power of 1/3, to the nearest integer?
125
What is the fourth root of 1412561 to the nearest integer?
34
What is the square root of 4613975 to the nearest integer?
2148
What is the fifth root of 9170135 to the nearest integer?
25
What is 16346939 to the power of 1/10, to the nearest integer?
5
What is the cube root of 823245 to the nearest integer?
94
What is 311695 to the power of 1/2, to the nearest integer?
558
What is 330071 to the power of 1/3, to the nearest integer?
69
What is the square root of 221453 | {
"pile_set_name": "DM Mathematics"
} |
s s in -4*s + 0 + c*s**2 = 0?
0, 14
Factor -234*x - 550*x - 339799*x**2 - 206*x**3 + 10*x**4 + 337755*x**2.
2*x*(x - 28)*(x + 7)*(5*x + 2)
Suppose -111*n - 3094 = -124*n. Let b = -236 + n. Factor -1/2*i**b - 1/2*i + 3.
-(i - 2)*(i + 3)/2
Let h(w) be the second derivative of -w**4/72 + 29*w**3/9 + 39*w**2/4 + 650*w. Factor h(v).
-(v - 117)*(v + 1)/6
Let r(z) = -7*z**2 - 1017*z - 284. Let y be r(-145). Factor y*o**4 + 0*o + 0 + 16/3*o**3 + 2/3*o**5 + 0*o**2.
2*o**3*(o + 1)*(o + 8)/3
Let w(d) be the first derivative of 10 + 3/7*d**3 - 3*d + 5/42*d**4 - 2/7*d**2. Let p(u) be the first derivative of w(u). Factor p(j).
2*(j + 2)*(5*j - 1)/7
Suppose -26*i + 788 = -512. Suppose -3*w - 18 - i = -5*u, 0 = 3*u - w - 44. Find q, given that 16/3*q + u + 4/9*q**2 = 0.
-6
Let w be 3 + (36/12 - 3). Let p(l) be the second derivative of -1/12*l**4 - 1/6*l**w + l**2 + 0 - 3*l. Factor p(u).
-(u - 1)*(u + 2)
Let n be (-14)/(-8)*2*(-84)/(-49). Let t(o) = -3*o + 21. Let k be t(n). Factor 3*x**2 - 2*x**4 + 3*x**4 + 2*x**4 + 38*x**k - 32*x**3.
3*x**2*(x + 1)**2
Find v such that 4343*v - 1673*v - 600*v**2 + 595*v**2 - 356445 = 0.
267
Let w = -1169 + 1171. Let j = -349 + 613. Factor -162*k**w - 3 + j*k**3 + 75/2*k - 96*k**4.
-3*(k - 2)*(4*k - 1)**3/2
Let i(h) be the third derivative of h**6/45 + 269*h**5/90 - 485*h**4/36 - 46*h**3/3 - 74*h**2 + 10*h. Factor i(f).
2*(f - 2)*(f + 69)*(4*f + 1)/3
Let x(d) = -81*d + 2. Let i be x(2). Let p be (72/(-15))/(128/i). Determine q so that p + 3*q**3 + 9/2*q**2 - 12*q - 3/2*q**4 = 0.
-2, 1, 2
Suppose 2*v - 7*v + 40 = -4*y, -3*v - 3*y - 3 = 0. Let c be (375/(-21))/5 + v. Solve 3/7*q**2 - 3/7 - 3/7*q + c*q**3 = 0 for q.
-1, 1
Suppose 5*m - 9*m = -4*l - 56, 38 = 3*m - 5*l. Suppose 6*u - 44 = -m*u. Let 0*a + 0 - 1/4*a**5 + 1/4*a**4 - 1/4*a**u + 1/4*a**3 = 0. Calculate a.
-1, 0, 1
Let k be (-8)/16 - 81/6. Let p be (-32)/(-7) + (-6)/k. Solve -4*o**4 + 9*o**4 + 20*o**3 + 11*o**4 + 4*o**p + 8*o**2 = 0 for o.
-2, -1, 0
Let i(m) be the second derivative of -16/3*m**4 + 0*m**2 + 6/5*m**5 + 2/15*m**6 + 2*m + 80 + 0*m**3. Solve i(w) = 0 for w.
-8, 0, 2
Factor -91/2*j**2 + 110*j - 2*j**3 - 125/2.
-(j - 1)*(j + 25)*(4*j - 5)/2
Factor -1/4*h**2 + 51/4 + 7/2*h.
-(h - 17)*(h + 3)/4
Let w(b) be the second derivative of -5*b**4/12 + 65*b**3/6 - 55*b**2/2 - 4*b. Let s(j) = -j + 2. Let c(t) = -5*s(t) + w(t). Solve c(u) = 0 for u.
1, 13
Let q be 2*2/3*3. Suppose -3*o + q*k = 2*o - 279, -3*o + k = -166. Let 35*v**2 + 12 + 13 + 14*v**3 - 9*v**3 + o*v = 0. Calculate v.
-5, -1
Let s = 188 - 4699/25. Let t = s - -193/175. Factor -60/7*v + 52/7*v**2 + t.
4*(v - 1)*(13*v - 2)/7
Let q(m) = -125*m**2 - 111*m + 14. Let d(o) = -128*o**2 - 111*o + 17. Let v(a) = -8*d(a) + 9*q(a). Factor v(t).
-(t + 1)*(101*t + 10)
Let v(i) be the third derivative of -35*i**2 - 1/6*i**4 + 0*i + 0*i**5 + 0 + 0*i**3 + 1/30*i**6. Factor v(p).
4*p*(p - 1)*(p + 1)
Let s(j) be the first derivative of 5*j**7/42 - j**6/12 + 29*j**2/2 - 11. Let r(u) be the second derivative of s(u). Factor r(l).
5*l**3*(5*l - 2)
Suppose 16*u = 19*u - 2*m - 86, -u - 4*m = -38. Let t be 4/u - 42/(-135). Solve 2/3 - t*v**2 + 2/9*v = 0 for v.
-1, 3/2
Suppose -32 = -2649*m + 2633*m. Let o = -350/11 + 32. Determine a, given that -o*a**m + 2/11*a + 0 = 0.
0, 1
Let 302*n**4 - 2*n**5 + 11888 + 3253*n - 336 + 7995*n - 17112*n**3 - 18015*n**2 + 5866*n**3 + 6161*n**2 = 0. What is n?
-1, 1, 76
Let i(f) = -f**3 + 26*f**2 - 472*f + 1656. Let m(a) = 2*a**2 - a + 1. Let z(u) = 3*i(u) + 24*m(u). Suppose z(l) = 0. Calculate l.
8, 26
Let o(w) be the first derivative of w**4/16 + 29*w**3/6 + 1081*w**2/8 + 1587*w + 881. Let o(j) = 0. What is j?
-23, -12
Let b be 135/25 - 44*(-43)/(-4730). Suppose 108*v**3 - 44*v**2 - 72 - 168*v - 49/2*v**b + 63/2*v**4 = 0. What is v?
-1, -6/7, 2
Let z(b) be the third derivative of b**7/1050 - 17*b**6/300 + 21*b**5/100 + 17*b**4/60 - 32*b**3/15 - 4305*b**2 - 2*b. Let z(k) = 0. Calculate k.
-1, 1, 2, 32
Let f be -1 + 5/7 + (-5187)/(-17640). Let d(u) be the second derivative of 0*u**3 - f*u**5 + 0*u**4 - 6*u + 0*u**2 - 1/180*u**6 + 0. Factor d(s).
-s**3*(s + 1)/6
Solve 225 + c**2 + 133 - 760*c + 0*c**2 - 4*c**2 + 150 = 0 for c.
-254, 2/3
Let d(i) be the first derivative of i**6/36 + 7*i**5/30 - i**4/2 - 80*i**3/9 - 88*i**2/3 - 40*i + 4773. Factor d(s).
(s - 5)*(s + 2)**3*(s + 6)/6
Let k(p) = -p**2 - 12*p - 28. Let d be k(-8). Let r be d + (-13)/(78/24). Factor r*a**2 - 1/2*a**3 + 1/2*a + 0.
-a*(a - 1)*(a + 1)/2
Let w(k) be the second derivative of 8/105*k**6 + 0*k**2 - 2/147*k**7 - 3/35*k**5 + 0*k**4 + 0 - 21*k + 0*k**3. Factor w(t).
-4*t**3*(t - 3)*(t - 1)/7
Let f = -126465 - -379396/3. Factor 5/3*p + 8/3*p**2 + 4/3*p**3 + f.
(p + 1)*(2*p + 1)**2/3
Let -42282/11*x + 39366/11 + 126/11*x**4 + 16092/11*x**2 - 2484/11*x**3 - 2/11*x**5 = 0. What is x?
3, 27
Let y(k) be the second derivative of -20*k**3 - 29*k - 18*k**2 - 11/4*k**4 + 9/20*k**5 + 0. Let y(b) = 0. Calculate b.
-2, -1/3, 6
What is i in 1163/2*i**2 + 501*i + 80*i**3 - 1/2*i**4 + 0 = 0?
-6, -1, 0, 167
Suppose -5*n - 35 + 7 = -z, 0 = -3*z - n + 36. Let -z*b + 50 - b**2 - 11*b - b**2 + 34 + 2*b = 0. Calculate b.
-14, 3
Let q be (-20)/6*103/(-206). Let p = 28/15 - q. Suppose p*j**4 + 125 + 100*j + 4*j**3 + 30*j**2 = 0. What is j?
-5
Suppose -23 = -4*l - c, 0*c + 24 = 3*l + 3*c. Suppose -4*y + 5 = l*f, -2*f - y + 8 = 3. Factor f*g - 13*g**4 - 5*g**2 - 5*g**3 + 8*g**4 + 10*g**4.
5*g*(g - 1)**2*(g + 1)
Suppose 24820 = 1875*v - 1892*v. Let s = -1458 - v. Factor -2/3*l + 2/3*l**s + 0.
2*l*(l - 1)/3
Suppose -277*x**2 - 2*x**3 + x**3 - 277*x**2 - 59 + 548*x**2 + 127*x - 61 = 0. Calculate x.
-15, 1, 8
Let m(o) be the third derivative of -20*o**2 + 3 + 0*o - 17/8*o**4 - 1/20*o**5 + 0*o**3. Factor m(t).
-3*t*(t + 17)
Let r = 66637/2 + -33318. Factor 0 + v**3 + 1/2*v**4 + r*v**2 + 0*v.
v**2*(v + 1)**2/2
Let n(j) be the third derivative of j**6/150 - 362*j**5/25 + 65522*j**4/5 - 94875856*j**3/15 + 9*j**2 + 84. What is t in n(t) = 0?
362
Let t(c) = c**3 - 4*c**2 - 10*c - 8. Let p be t(6). Factor -2*f**p + 2256*f**3 - f**4 - 2256*f**3.
-3*f**4
Let i(n) be the second derivative of -n**6/15 - n**5/5 + n**4/6 + 2*n**3/3 - 204*n - 8. Factor i(k).
-2*k*(k - 1)*(k + 1)*(k + 2)
Suppose -28 = -6*v - 4. Solve 7*n - 104*n**2 + 5*n + 18 - 12*n**5 + 64*n**v + 22 = 0 for n.
-1, -2/3, 1, 5
Find j, given that -2418/5*j - 126*j**2 - 3042/5 - 54/5*j**3 = 0.
-13/3, -3
Let z(w) be the first derivative of w**3/12 - 31*w**2/8 - 51*w/2 + 136. Determine p, given that z(p) = 0.
-3, 34
Let q(j) be the first derivative of 75*j**4/4 - 5005*j**3 - 6024*j**2 - 2412*j + 648. Factor q(s).
3*(s - 201)*(5*s + 2)**2
Let u(y) be the first derivative of -249 + 50/7*y + 1/21*y**3 + 51/14*y**2. Factor u(p).
(p + 1)*(p + 50)/7
Let a(l) = l**2 - 6*l + 3. Let d(z) = -8*z**2 + 15*z - 67. Let c(j) = 6*a(j) + d(j). Factor c(h).
-(h + 7)*(2*h + 7)
Let q(a) be the first derivative of -115/3*a**3 + 35/6*a**6 - 15*a**2 - 5/4*a**4 + 0*a + 23*a**5 - 199. Solve q(t) = 0.
-3, -1, -2/7, 0, 1
Let j(r) be the third derivative of r**6/144 + 35*r**5/18 + 23785*r**4/144 - 25205*r**3/18 + 3*r**2 + 598. What is n in j(n) = 0?
-71, 2
Let k(b) = 771*b**3 + 925*b**2 - 1536*b - 8. Let n(v) = -771*v**3 - 888*v**2 + 1536*v + 9. Let q(l) = 3*k(l) + 4*n(l). Factor q(a).
-3*(a - 1)*(a + 2)*(257*a + 2)
Factor 68/9*m**4 - 121*m - 1222/9*m**3 + 0 + 748/3*m**2 - 1/9*m**5.
-m*(m - 33)**2*(m - 1)**2/9
Let b = 74 - 54. Factor -18 + 78 - x**2 - 3*x**2 + b*x - x**2.
-5*(x - 6)*(x + 2)
Suppose -239*t + 926*t - 1374 = 0. Let n(c) be the second derivative of -22*c + c**t + 7/54*c**4 + 1/90*c**5 + 5/9*c**3 + 0. Factor n(l).
2*(l + 1)*(l + 3)**2/9
Let d(h) be the second derivative of 146*h - 441/2*h**2 - 21/20*h**5 + 7/2*h**3 + 1/120*h**6 + 1763/48*h**4 + 0. Solve d(q) = 0.
-1, 1, 42
Let q(w) = -111*w**3 - 2*w**2 + w. Let c be q(1). Let d be ((-18)/(-4) - 0)*c/(-84). Determine z, given that -d*z**2 + 10*z + 0*z**3 + 2*z - 3*z**3 - 3*z = 0.
-3, 0, 1
Let g = -3390 + 5731. Factor 2336*n + 11*n**3 - 2*n**3 - 5*n**5 - g*n + n**3.
-5*n*(n - 1)**2*(n + 1)**2
Let d(b) be the first derivative of -968/5*b + 35 + 44/5*b**2 - 2/15*b**3. Suppose d(g) = 0. Calculate g.
22
Let o be 39/((-9945)/1335) - -11. Suppose 0 - o*b**2 + 148/17*b**3 - 38/17*b**4 | {
"pile_set_name": "DM Mathematics"
} |
ve of -r**2 - 169/24*r**4 + v - 13/3*r**3 + 46*r. Factor w(q).
-(13*q + 2)**2/2
Let d(n) = 10*n**2 + 26*n - 4. Let r(m) = 2*m**2 - 2*m - 1. Let v(u) = -d(u) + 4*r(u). Factor v(o).
-2*o*(o + 17)
Let l(a) be the third derivative of -26*a**2 - 1/8*a**6 + 1/70*a**7 + a**3 + 0 + a - 7/8*a**4 + 9/20*a**5. Suppose l(b) = 0. What is b?
1, 2
Let p(n) = 35*n - 198. Let r be p(6). Determine a so that r*a - 1 + 1 + 11 - 2*a**2 + 2*a**2 + a**2 = 0.
-11, -1
Let r = -18697 + 18700. Let m(j) be the second derivative of -1/9*j**r + 0 + 0*j**2 - 1/18*j**5 + 7/54*j**4 + 22*j + 1/135*j**6. Factor m(q).
2*q*(q - 3)*(q - 1)**2/9
Let p be (-385)/(-22)*((-58)/(-7) + -8). Let g(r) be the third derivative of -16/3*r**4 + 0 + r**2 - 8/3*r**3 + 0*r - 3*r**p + 27/10*r**6. Factor g(u).
4*(u - 1)*(9*u + 2)**2
Let p(a) be the first derivative of 2/11*a**2 - 2/11*a**3 - 26 + 6/55*a**5 - 1/33*a**6 - 1/22*a**4 + 0*a. Suppose p(l) = 0. What is l?
-1, 0, 1, 2
Find g, given that -45 - 33/2*g - 1/2*g**2 = 0.
-30, -3
Let 89/2*b + 179/4*b**2 + 1/4*b**3 + 0 = 0. What is b?
-178, -1, 0
Find d such that 2914/7*d + 2122849/7 + 1/7*d**2 = 0.
-1457
Solve -484*b + 34*b**4 - 397*b**3 - b**5 + 1965*b**2 - 2889*b**2 + 8*b**4 = 0.
-1, 0, 22
Let d(i) be the third derivative of 1/12*i**5 + 0 - 216*i**2 - 1/120*i**6 - 1/210*i**7 + 0*i**3 + 0*i - 1/8*i**4. Factor d(w).
-w*(w - 1)**2*(w + 3)
Let h(m) = 15*m**2 - 63*m + 21. Let n(z) = -45*z**2 + 190*z - 64. Let l = 0 + 3. Let i(v) = l*n(v) + 8*h(v). Factor i(u).
-3*(u - 4)*(5*u - 2)
Let a(u) be the third derivative of u**5/180 - 467*u**4/36 + 311*u**3/6 + 754*u**2 + 2. Solve a(y) = 0.
1, 933
Let u be 5 + -14 + 578/64. Let w(y) be the third derivative of -u*y**4 + 0*y - 1/24*y**3 + 0 + 2*y**2 - 1/80*y**5 - 1/480*y**6. Determine g so that w(g) = 0.
-1
Suppose -2/3*f**4 - 2*f**3 + 20/3*f**2 + 0 + 16*f = 0. What is f?
-4, -2, 0, 3
Suppose 0 = -5*w + 12*s - 9*s + 22, -3*w + 4*s + 22 = 0. Let -6/5*t - 3/5*t**3 + 9/5*t**w + 0 = 0. Calculate t.
0, 1, 2
Let -53/3*b - 1/3*b**5 - 14*b**3 + 11/3*b**4 + 70/3*b**2 + 5 = 0. Calculate b.
1, 3, 5
Let g be (-6 - -3)/(4/(-4)). What is z in -240*z**4 - 3*z**3 - 240*z**4 + g*z**5 + 477*z**4 + 3*z**2 = 0?
-1, 0, 1
Let h(t) = t**2 - 2*t - 2. Let g(m) = m - 220 - 192 + 444 - 7*m**2 + 12*m. Let y(o) = -g(o) - 6*h(o). Factor y(n).
(n - 5)*(n + 4)
Let k = 7417 - 7413. Let t(d) be the second derivative of 0*d**2 - 14/15*d**6 + 0 - 11/3*d**k + 27*d - 4/3*d**3 - 16/5*d**5. Let t(m) = 0. What is m?
-1, -2/7, 0
Let n(h) = -840*h + 165*h**2 - 218*h**3 + 377 - 230*h**3 + 463*h**3 + 515. Let k(q) = -5*q**3 - 55*q**2 + 280*q - 297. Let t(v) = -8*k(v) - 3*n(v). Factor t(f).
-5*(f - 2)**2*(f + 15)
Let 75/7*y**2 + 177147/7 - 7290/7*y = 0. What is y?
243/5
Let w = -4/2763 + -1676216/2763. Let y = 607 + w. Factor 3 - 2*v + y*v**2.
(v - 3)**2/3
Let t(c) be the second derivative of -c**7/126 - 8*c**6/45 - 11*c**5/15 + 89*c**4/18 + 5*c**3/2 - 27*c**2 - 241*c. Suppose t(x) = 0. Calculate x.
-9, -1, 1, 2
Let s = 21329/6 + -149291/42. Factor -2/7*d - 6/7 + s*d**3 + 6/7*d**2.
2*(d - 1)*(d + 1)*(d + 3)/7
Find d, given that 9*d**2 + 39/8*d**4 - 55/4*d**3 - 1/8*d**5 + 0*d + 0 = 0.
0, 1, 2, 36
Let 507*m + 464*m - 3*m**2 - 845*m - 123 = 0. What is m?
1, 41
Let p(i) = 180*i**5 - 507*i**4 + 126*i**3 + 468*i**2 - 321*i + 39. Let o(r) = -2*r**3 - r**2 - 3*r + 1. Let a(v) = -3*o(v) + p(v). Let a(n) = 0. What is n?
-1, 3/20, 2/3, 1, 2
Let b(r) be the third derivative of -4*r**7/105 + 193*r**6/30 + 494*r**5/15 + 101*r**4/6 - 132*r**3 + 3637*r**2. Solve b(q) = 0.
-2, -1, 1/2, 99
Let q = 9433 + -84889/9. Factor -14/9*p - q*p**2 + 4/9.
-2*(p + 2)*(4*p - 1)/9
Let 258/7*a**2 - 103/7*a**3 + 120/7 - 292/7*a - 1/7*a**5 + 18/7*a**4 = 0. What is a?
1, 2, 3, 10
Let h(v) be the second derivative of -2 + 4*v + 1/36*v**4 + 1/6*v**3 - 1/180*v**5 - 16*v**2. Let i(s) be the first derivative of h(s). Factor i(f).
-(f - 3)*(f + 1)/3
Let t be 1760/(-400)*(4 + 994/(-231)). Factor 2/3 + t*d + 2/3*d**2.
2*(d + 1)**2/3
Let l(w) be the first derivative of w**4/36 - w**3/6 + w**2/3 + 9*w - 48. Let b(o) be the first derivative of l(o). Solve b(n) = 0.
1, 2
Suppose -5*g = 3*x - 19, 23 = 5*x - g + 5*g. Solve 4*p**5 + 217 + 250 - 264*p**x + 34*p**2 + 804*p + 48*p**4 - 114*p**2 + 109 = 0.
-16, -1, 3
Let t(q) = 2*q + 74. Let s be t(-36). Let c(f) be the first derivative of -3/7*f**s - 8/21*f**3 + 5 + 0*f - 1/14*f**4. Factor c(b).
-2*b*(b + 1)*(b + 3)/7
Let q(d) = -1. Let b(j) = 17*j**2 - 11*j**2 + 8 - 7*j - 5*j**2. Let u(v) = b(v) + 2*q(v). Find t such that u(t) = 0.
1, 6
Let j(m) = 4*m**2 - 127*m + 808. Let y be j(23). Factor -4/5*z**y + 1444/5 + 156/5*z**2 - 1596/5*z.
-4*(z - 19)**2*(z - 1)/5
Let j(a) be the third derivative of -a**7/70 + 2*a**6/5 - 22*a**5/5 + 24*a**4 - 72*a**3 - a**2 + 166. What is c in j(c) = 0?
2, 6
Factor 460*h - 57 + h**3 - 5*h**2 + 1 - 492*h + 20.
(h - 9)*(h + 2)**2
Factor -5 + 38*k - 15/4*k**2.
-(k - 10)*(15*k - 2)/4
Let w be (-1)/(-5) - (55278/30)/3. Let u = -342 - w. Suppose 9 - u*g + 142*g + 3*g**2 + 142*g = 0. Calculate g.
-3, -1
Let i(v) = 620*v + 3104. Let y be i(-5). Let n(b) be the first derivative of 3*b**3 - 1 + 1/10*b**5 + 5*b**2 + 7/8*b**4 + y*b. Factor n(h).
(h + 1)*(h + 2)**3/2
Let q(g) be the first derivative of g**4/18 - 100*g**3/27 + 188*g**2/9 - 368*g/9 - 1596. Factor q(s).
2*(s - 46)*(s - 2)**2/9
Let n(z) be the second derivative of 0*z**2 - 17*z + 0*z**3 + 3/4*z**5 - 2/5*z**6 - 1/2*z**4 + 0 + 1/14*z**7. Determine l so that n(l) = 0.
0, 1, 2
Let t = 28 - 20. Let u(s) = s**3 + s**2 - 2*s + 8. Let w be u(-2). Solve t*g + 9 - 2*g**2 - 1 + w - 6 = 0.
-1, 5
Let b(s) = 38*s**3 + 36*s**2 - 150*s - 48. Let a(n) = -74*n**3 - 72*n**2 + 302*n + 96. Let t(v) = -5*a(v) - 9*b(v). Factor t(w).
4*(w - 2)*(w + 3)*(7*w + 2)
Suppose 17/3*l + 0 + 1/9*l**2 = 0. What is l?
-51, 0
Let w = 9437 + -9433. Let c(r) be the first derivative of -1/3*r**2 + 14/3*r - 11 - 14/9*r**3 + 1/6*r**w. Solve c(x) = 0.
-1, 1, 7
Let a = 343 + -343. Let c be (a - (-9)/(-2)) + 132 + -127. Factor c*l**2 - 1/2*l**4 + l**3 - l + 0.
-l*(l - 2)*(l - 1)*(l + 1)/2
Let q(w) be the first derivative of w**6/480 - 3*w**5/16 + 29*w**4/32 + 172*w**3/3 + 100. Let n(c) be the third derivative of q(c). Find d such that n(d) = 0.
1, 29
Let o(q) be the first derivative of q**3/4 - 12*q**2 + 405*q/4 - 2041. Factor o(j).
3*(j - 27)*(j - 5)/4
Let w = -46422 + 77766. Factor w + 2*n**2 + 2*n - 31338 + 6*n.
2*(n + 1)*(n + 3)
Let z(v) be the first derivative of -42 + 9/2*v**2 - 7*v - 1/4*v**4 - v**3. Let g(y) be the first derivative of z(y). What is t in g(t) = 0?
-3, 1
Factor 654*l - 6083*l + 4710 + 722*l - 3*l**2.
-3*(l - 1)*(l + 1570)
Let h(r) be the first derivative of -r**5/35 - 6*r**4/7 - 130*r**3/21 - 96*r**2/7 - 85*r/7 + 3927. Solve h(j) = 0 for j.
-17, -5, -1
Let p(w) be the second derivative of 55 - 1/60*w**6 + 1/6*w**3 + 1/24*w**4 - 1/20*w**5 + 0*w**2 + 2*w. Determine c so that p(c) = 0.
-2, -1, 0, 1
Let d be 2/(6 + 364/(-65)). Suppose 0 = 2*a - 4*r - 8, 4*r = -4*a + 5*r + 16. Find j, given that -3*j + a*j**2 - 5*j**2 - d - 3*j = 0.
-5, -1
Let w(m) be the second derivative of 0*m**3 + 29*m - 1/100*m**5 + 0 - 1/20*m**4 + 1/50*m**6 + 1/210*m**7 + 0*m**2. Solve w(n) = 0 for n.
-3, -1, 0, 1
Factor 272 + 2446/9*s - 2/9*s**2.
-2*(s - 1224)*(s + 1)/9
Factor 135 + 4378*h - 2135*h - 5*h**3 + 25*h**2 - 2078*h.
-5*(h - 9)*(h + 1)*(h + 3)
Let q(p) be the third derivative of -p**5/210 + 37*p**4/84 + 38*p**3/21 - 6*p**2 - 1. Suppose q(w) = 0. Calculate w.
-1, 38
Let u = -465 - -467. Determine n so that 0*n**5 + 11*n**3 - 10*n**2 + u*n**5 + 2*n**4 + 8*n - 4 - 21*n**3 + 12 = 0.
-2, -1, 1, 2
Let f = -6525989/60 + 108769. Let i = f + -11/12. Solve -i*z**5 + 0*z**2 + 4/5*z**3 + 0 + 0*z + 4/5*z**4 = 0.
-1/2, 0, 1
Let n(a) be the first derivative of -15*a**4/2 + 98*a**3/3 - 28*a**2 - 40*a - 2841. Determine s so that n(s) = 0.
-2/5, 5/3, 2
Let r(l) be the third derivative of -l**7/105 - 3*l**6/20 - 13*l**5/15 - 2*l**4 + 1868*l**2. Determine x, given that r(x) = 0.
-4, -3, -2, 0
Let y be ((-72)/16)/(198/(-24) - -6). Let k(m) be the first derivative of -4*m - 3*m**y - 2/3*m**3 + 10. Determine z, given that k(z) = 0.
-2, -1
Let c(m) be the first derivative of -5/6*m**4 + 132 + 2/15*m**5 + 16/9*m**3 - 4/3*m**2 + 0*m. Determ | {
"pile_set_name": "DM Mathematics"
} |
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