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-w**2 + 2*w - 1
Let x(d) = 6*d + 8. Let s(t) = -4*t - 24. Let z(h) = -h - 8. Let l(j) = -6*s(j) + 17*z(j). What is -4*l(g) + 5*x(g)?
2*g + 8
Let v(n) = 2*n - 1. Let p(d) = d - 3. Determine -4*p(r) + 7*v(r).
10*r + 5
Let o(f) = 2744*f + 2. Let h(w) = 1372*w + 1. Determine 9*h(l) - 4*o(l).
1372*l + 1
Let q(v) = 9*v**2 + 3*v + 6. Let l(o) = 55*o**2 + 15*o + 31. What is -2*l(u) + 11*q(u)?
-11*u**2 + 3*u + 4
Let x(z) = z**3 + z**2 - z + 1. Let n(g) = -59*g + 1297. Let c be n(22). Let a(k) = 6*k**3 + 9*k**2 - 5*k + 7. Calculate c*a(o) + 5*x(o).
-o**3 - 4*o**2 - 2
Let a(u) = -2*u - 1. Let t(z) = 474*z + 79. Give -79*a(s) - t(s).
-316*s
Let x(k) be the first derivative of -2*k - 27 + k**2 + 0*k**3 + 7/4*k**4. Let r(i) = 29*i**3 + 9*i - 9. Give 2*r(o) - 9*x(o).
-5*o**3
Let f(u) = 2*u - 10. Let p(m) = 5*m - 19. Determine -7*f(g) + 3*p(g).
g + 13
Suppose -f + a = -a - 26, 10 = -2*a. Let y = -14 + f. Let g(o) = 2*o**2 + o**2 - 4*o**y + 0*o**2. Let v(j) = -j - 2. What is 2*g(p) - v(p)?
-2*p**2 + p + 2
Let d(p) be the second derivative of p**2/2 + 2*p - 1. Let g(y) = -3*y. Give 2*d(c) - g(c).
3*c + 2
Suppose 4*n - z = n + 16, -3*n + 3*z = -18. Let d(j) = -10*j**2 - 5*j - 5. Let q(u) = -10*u**2 - 6*u - 6. Give n*q(g) - 6*d(g).
10*g**2
Let g(x) = 76*x + 482. Let o(f) = 165*f + 963. Determine -13*g(y) + 6*o(y).
2*y - 488
Let k(h) = -2*h**2 + h - 1. Let t(v) = 13*v**2 - 5*v + 5. Let j(r) = 16*k(r) + 3*t(r). Let g = -16 + 10. Let b(l) = -l**2. What is g*b(m) - j(m)?
-m**2 - m + 1
Let v(u) = -1. Let p(h) = -9*h**2 - 5. Give -p(w) + 3*v(w).
9*w**2 + 2
Let c(t) = -22*t**2 + 14*t + 14. Let v(y) be the third derivative of 7*y**5/60 - 5*y**4/24 - 5*y**3/6 + 236*y**2. What is 5*c(o) + 14*v(o)?
-12*o**2
Let f(m) = -43*m + 48*m - 5 + 0 + 0. Let n = 19 + -22. Let r(b) = 14*b - 14. Determine n*r(k) + 8*f(k).
-2*k + 2
Let w(b) = -4*b - 3. Let c(v) = 1. Let t be 2/((-3)/(12/(-8))). Let i(n) = -3*n - 6. Let u(l) = t*i(l) + 4*c(l). Calculate -5*u(s) + 4*w(s).
-s - 2
Let q(g) be the first derivative of g**2/2 + 3*g - 25. Let h(s) = s**2 + 8*s - 6. Let y be h(-8). Let u(i) = -i - 2. Determine y*u(x) - 4*q(x).
2*x
Let h(u) = 3*u + 125. Let v(s) = 7*s + 251. Calculate 5*h(z) - 2*v(z).
z + 123
Let w be 2*1/4*4. Let t(l) be the second derivative of -l**4/12 + l**2/2 + 4030*l. Let d(o) = -o**3 + 9*o**2 - 9. What is w*d(q) + 18*t(q)?
-2*q**3
Let i be (-47)/(-9) + (-14)/63. Let h be (1 + 0)/(i/10). Suppose 2*x = -11 + 5, d = -h*x - 7. Let u(w) = w. Let p(o) = -4*o + 1. Give d*p(f) - 2*u(f).
2*f - 1
Let s be (-88)/22*((-1)/2 - 0). Let b(v) = v**2 - v + 3. Let i(q) = 5*q**2 - 6*q + 15. What is s*i(u) - 11*b(u)?
-u**2 - u - 3
Let l(r) = -31*r - 70*r**2 + 104*r - 18*r. Let f(j) = -5*j**2 + 4*j. Let w be (-2)/6 - (-20)/15 - 5. What is w*l(g) + 55*f(g)?
5*g**2
Let a(k) = -k**2 + 2*k. Let q be a(1). Let o(p) be the first derivative of -p**3/3 - p**2/2 - p - 87. Let g(c) = -10*c**2 - 6*c - 6. Give q*g(f) - 6*o(f).
-4*f**2
Let h(b) = 2*b**2 + 8*b. Let o be 27/15 - (8 + 328/(-40)). Let k(w) = -4*w**2 - 17*w. What is o*k(f) + 5*h(f)?
2*f**2 + 6*f
Let s(o) = 2*o**2 + o + 3. Let c(a) be the first derivative of -1 + 1/3*a**3 + 2*a + 1/2*a**2. Suppose -16 = -3*k - k. Determine k*c(r) - 3*s(r).
-2*r**2 + r - 1
Let r(b) = -13*b**3 + 8*b**2 - 22*b + 6. Let l(u) = -11*u**3 + 7*u**2 - 22*u + 5. Calculate -6*l(z) + 5*r(z).
z**3 - 2*z**2 + 22*z
Let x(t) = -7*t - 8. Let w(i) = -3*i - 4. Let p(d) = 5*w(d) - 2*x(d). Suppose -2*l - 8*l = -30. Let k(y) = l + 33*y - 17*y - 15*y. Give 3*k(a) + 2*p(a).
a + 1
Let k(j) = -6*j**2 - 3*j + 1. Let m(i) be the first derivative of -5*i**3/3 - i**2 + i - 122. Give -3*k(x) + 4*m(x).
-2*x**2 + x + 1
Let h be -3 + 3 + -1 + 8 + -2. Let k(i) = -1 + 5*i**3 - h - 455*i + 461*i. Let b(m) = 14*m**3 + 17*m - 17. Calculate 6*b(w) - 17*k(w).
-w**3
Let a(h) = h**2 - h. Let c(r) = -57 - 69 + 125. Calculate -2*a(l) - 2*c(l).
-2*l**2 + 2*l + 2
Let o(b) = -17 + 4*b**2 - 12 + 67 - 16 - 4*b + b**3 - 18. Suppose 4*x + 1 = -19. Let c(r) = -r**3 - 5*r**2 + 5*r - 5. Give x*o(j) - 4*c(j).
-j**3
Let y(h) = -1406*h**3 + 152*h + 152. Let p(x) = 2*x**3 - x - 1. What is -152*p(r) - y(r)?
1102*r**3
Let z(s) = 11*s**2 + 8*s - 12. Let o(f) = 2*f**2 + 2*f - 2. Determine 6*o(v) - z(v).
v**2 + 4*v
Let f(n) = -9*n - 176*n + 48*n**2 - 5 + 180*n. Let j(o) = 120*o**2 - 12*o - 12. What is -12*f(y) + 5*j(y)?
24*y**2
Let j(d) = 1 + 151*d - 135*d + 3 + 0. Let g(b) = 5*b + 1. What is 7*g(w) - 2*j(w)?
3*w - 1
Let q(x) = 2*x**3 + 3*x**2 + x + 4. Let u = 4 - -3. Let y(w) = 4*w**3 + 5*w**2 + 2*w + 7. What is u*q(z) - 4*y(z)?
-2*z**3 + z**2 - z
Let u(b) = b**3 + b**2 - 1. Let v(o) = -6*o**3 - 11*o**2 + 8. What is 24*u(n) + 3*v(n)?
6*n**3 - 9*n**2
Let w(k) = -81*k - 3. Let l(n) = n + 1. Give 4*l(p) + w(p).
-77*p + 1
Let n(w) = -5*w**2 - 4*w. Let d(l) = -l**2 - l. Let p = 291 + -295. What is p*d(o) + n(o)?
-o**2
Let q(n) = 11*n**3 - 4*n**2 + 4*n - 4. Let w = 176 + -180. Let t(l) = -12*l**3 + 5*l**2 - 5*l + 5. Calculate w*t(z) - 5*q(z).
-7*z**3
Let g(d) = 19*d - 8. Let r(c) = 40*c - 17. Calculate 9*g(k) - 4*r(k).
11*k - 4
Let p(c) be the third derivative of c**6/60 + c**5/15 - 5*c**3/3 + 19*c**2. Let w(i) = -i**3 - 2*i**2 + 5. Calculate 2*p(s) + 5*w(s).
-s**3 - 2*s**2 + 5
Let d(i) = 69*i + 1. Let m(l) = -136*l - 2. Give -7*d(y) - 4*m(y).
61*y + 1
Let f(g) = -2*g**3 - g**2 - g - 7. Let w(m) = -2*m**3 - 2*m**2 - m - 8. What is -6*f(s) + 5*w(s)?
2*s**3 - 4*s**2 + s + 2
Let n(t) = -3*t**2 + 7*t - 4. Let f(a) = -10*a**2 + 24*a - 13. Give -2*f(s) + 7*n(s).
-s**2 + s - 2
Suppose -5*q = -6*q - 25. Let s = -47 - q. Let t(o) = -o**2 + 3*o - 3. Let u(d) = 4*d**2 - 11*d + 11. Determine s*t(b) - 6*u(b).
-2*b**2
Let l(x) = 6*x - 11*x + 4*x + 2*x**2 - 6. Let n(j) = -1. Let m be (1/5)/((-8)/(-80)). Suppose -m*d + 2 = 6, -2*t + 3*d - 6 = 0. Calculate t*n(r) + l(r).
2*r**2 - r
Let z(m) = m - 1. Let x(u) = -10*u + 9. Let y(k) = -46*k - 8. Let h be y(1). Let r = 18 + h. What is r*z(f) - 4*x(f)?
4*f
Let j(y) = -15*y + 13 + 16*y - 13 - 2*y**3 - 3*y**2. Let w(x) = -x**2. Give -j(f) + 4*w(f).
2*f**3 - f**2 - f
Suppose -3 = -2*n - 5*o + 10, o = -n - 1. Let k = n + 11. Let s(q) = 13*q - 10. Let u(z) = 9*z - 7. What is k*s(y) - 7*u(y)?
2*y - 1
Let s(z) = 23*z**2 + 6*z + 32. Let p(b) = 15*b**2 + 4*b + 21. Give -8*p(n) + 5*s(n).
-5*n**2 - 2*n - 8
Let f be -10*(1/(-3))/((-2)/(-3)). Suppose 12 = -3*r, -7*a + 4*a - f*r = 35. Let j(h) = -7*h + 13. Let t(p) = -3*p + 6. What is a*t(s) + 2*j(s)?
s - 4
Let c = 701 - 623. Let s(n) = -n**3 - n**2 - 1. Let i(k) = -91*k**3 - 78*k**2 - 78. What is c*s(x) - i(x)?
13*x**3
Let u(d) = -12*d + 1. Let q(k) = -10*k. What is 4*q(n) - 3*u(n)?
-4*n - 3
Let c(v) = 1230*v**2 + 165. Let m(i) = -89 + 33 + 28 + 15*i**2 + 30. Give 2*c(n) - 165*m(n).
-15*n**2
Let j(g) be the third derivative of -g**4/4 + g**3/6 + 3*g**2. Let s(d) = 11*d - 1. Suppose -3*m + 6 = -0, 0 = 5*n + m + 13. Determine n*s(h) - 5*j(h).
-3*h - 2
Let g be -3 + (-2)/(3 - 1). Let p(y) = 2*y**2. Let i(c) be the first derivative of c**3/3 - 73. Determine g*p(q) + 5*i(q).
-3*q**2
Let j(v) be the third derivative of v**5/60 - 5*v**4/24 + v**3 + 398*v**2. Let t(f) = -4*f**2 + 14*f - 17. Give 17*j(s) + 6*t(s).
-7*s**2 - s
Let h(f) = 4*f - 3. Suppose 3*b + 8 + 7 = 0. Let d(q) be the third derivative of 7*q**4/24 - 5*q**3/6 + 5*q**2. What is b*h(r) + 3*d(r)?
r
Let h = -1106 + 1100. Let i(k) = 6*k**2 - 15*k. Let r(x) = 3*x**2 - 8*x. Calculate h*i(w) + 11*r(w).
-3*w**2 + 2*w
Let m(c) = 11*c**3 + 3*c + 4. Let d(o) = -32*o**3 - 9*o - 11. Let l(h) = 6*d(h) + 17*m(h). Let b(u) = 14*u**3 + 8*u - 5. Determine 3*b(a) + 8*l(a).
2*a**3 + 1
Let c(r) = -15*r**3 - 15*r**2 + 22*r + 9. Let u(s) = -8*s**3 - 8*s**2 + 11*s + 5. Give 6*c(x) - 11*u(x).
-2*x**3 - 2*x**2 + 11*x - 1
Let d(b) = b**3 + b**2 - 6*b + 6. Suppose -5*w = -7*w + 6, -f - 5*w = -9. Let t(y) = -y**3 - 2*y**2 + 13*y - 13. What is f*t(i) - 13*d(i)?
-7*i**3 - i**2
Let a(k) = 5*k**2 + 4*k. Let q(w) = 4*w**2 + 4*w. Let s = -226 - -229. What is s*a(o) - 4*q(o)?
-o**2 - 4*o
Let n(p) = -3*p**2 - 13*p + 2*p**2 - 1 + 0*p**2. Let a = -5 + 8. Let r(q) = -153 + 153 - a*q. Calculate -2*n(z) + 9*r(z).
2*z**2 - z + 2
Let r = 2 + 1. Let h(w) = -6*w**2 - 3*w + 3. Let a(g) = -858*g - 7*g**2 - 3 + 7 + 854*g. Give r*a(t) - 4*h(t).
3*t**2 | {
"pile_set_name": "DM Mathematics"
} |
o base 2.
-1000111101
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1ba
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114a0
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1100
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-1000100101001001
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-a882
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-3079
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-100
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-8d7a
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-2100
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147
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e4
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302023
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2972
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101000111
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2c4
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102430
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-120122
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1030
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2203022
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-213506
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111001001
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-796
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44442
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-20101001
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202122
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709
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33240
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-20
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-7585
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-3108
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1501
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6941
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1
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-5502
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11220102
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2242404
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23230212
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-1c4
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1cc4
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1e2c
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3a3
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276
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-1273
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10001122201
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-342
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-1cd1
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-13402
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223320
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44a
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-75
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-1011011000001000
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-1139
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-22110200
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8354
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bc07
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-5b99
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7625
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-895
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3202
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-1445
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-10002001
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-12942
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-111021
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-2
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4010
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-2b9
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-1007
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3512
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190
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198
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-12758
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265
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7181
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4431
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-104200
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-4240
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10455
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279
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-2396
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6272
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-1100010101
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6942
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-6547
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-9e
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5ebb
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-15216
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13225
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34b
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1593
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946
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-11324
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24350
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-10001011000011
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123122
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133
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ead
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1011100111
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-627
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3542
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-10010111010111001
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-95b9
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-63
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923
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eba
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-2222
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1a890
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1068e
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a6b
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16611
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-10111121
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-14422
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-11020000
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4543
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3481
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1111110
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-213401
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-4ad
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1011321
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-3331
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679
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-1b3
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1232
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20221200
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4160
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-11110001011
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bc2
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-932
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-110111111
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10100011222
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-b059
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304
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-2114
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19415
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-122310
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-1011111111
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43013
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-876
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-4226
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101100111101
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13462
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-10100001211
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-3143
What is 1926 (base 10) in base 5?
30201
What is -4b7 (base 14) in base 10?
-945
-172 (base 11) to base 3
-21102
What is -1674 (base 9) in base 14?
-678
-12302 (base 4) to base 14
-230
36e4 (base 15) to base 7
46036
-92a3 (base 13) to base 9
-30683
Convert -22310 (base 4) to base 8.
-1264
Convert 1011010011 (base 2) to base 5.
10343
-150535 (base 7) to base 5
-1412313
What is -1065 (base 12) in base 14?
-92d
What is 54056 (base 8) in base 11?
15a62
Convert 1076 (base 10) to base 14.
56c
What is -225 (base 14) in base 10?
-425
What is -22330 (base 4) in base 5?
-10300
What is a67 (base 11) in base 13?
779
What is -2141 (base 11) in base 6?
-21032
What is -1b1 (base 16) in base 4?
-12301
-1041 (base 6) to base 3
-22221
-7c (base 16) to base 3
-11121
What is -1195 (base 11) in base 5?
-22211
Convert 43062 (base 7) to base 4.
2212311
Convert -37274 (base 8) to base 14.
-5bd2
Convert -211120 (base 3) to base 11.
-504
What is -23c (base 16) in base 15?
-282
Convert 2ba5 (base 12) to base 14.
1c4d
Convert -131527 (base 9) to base 16.
-13813
What is 2320 (base 7) in base 14?
447
What is 30424 (base 6) in base 13?
1ac5
10247 (base 10) to base 12
5b1b
-341103 | {
"pile_set_name": "DM Mathematics"
} |
l*v + z and give z.
4529
Express (-1330 - 17*n**2 + 1330)*(-3*n + n - n)*(51 + 14 + 15) as c*n**3 + t*n**2 + x*n + g and give c.
4080
Express (-10 + 21*t**2 + 10)*(2*t - 26 + 337 + 716 + 2*t) as y*t + j + k*t**2 + n*t**3 and give k.
21567
Rearrange ((-f + 2*f - 3*f)*(2 + 1 - 1) + 3*f - f - f - 2*f + f - f - 4581 - 45 - 49*f + 48*f)*(-3 + 4 + 0) to n*f + g and give n.
-6
Rearrange (6*i + 0*i - 2*i)*(7*i**2 - 3*i**2 - 12 - 3*i**2) - 16*i**3 + 39*i**3 - 9*i**3 to x*i**2 + z*i**3 + c*i + g and give c.
-48
Express 2*d - 1 - 3*d - d**3 - 174*d**2 - 918*d**4 + 3 + 919*d**4 in the form i*d**2 + s*d**3 + h*d + m + y*d**4 and give s.
-1
Express (7*j**2 - 10*j**2 + 5*j**2)*(48 - 9 - 344) in the form r + x*j + y*j**2 and give y.
-610
Express (-5 + 4 + 0)*(-6062*z + 7836 - 7836) as n*z + v and give n.
6062
Rearrange 252*j**3 + 2*j + 145 - 47 - 52 - 44 to q*j**2 + x + n*j + c*j**3 and give n.
2
Express -18*a - 7*a**4 + 3*a**4 + 16*a + 2*a**4 + 10*a - 10*a + (2*a**3 + 4*a**3 + 0*a + a)*(4*a - 5*a - 5*a) as r*a + j*a**4 + n*a**2 + z + m*a**3 and give n.
-6
Express -14*k - 50*k - 12*k - k**2 + 7 + 3*k - 30*k - 3*k**4 in the form n*k + l*k**3 + x*k**2 + s + h*k**4 and give x.
-1
Express 12 + 3*f + 154*f**2 - 146*f**2 + 7 + 2*f**3 as n + y*f**3 + k*f**2 + g*f and give g.
3
Rearrange (-286*n + 111 - 111)*(-114 + 265 - 29) to b*n + m and give b.
-34892
Express -63*y**3 - 6*y**4 + 50*y - 5*y**2 + 3*y**2 + 5 + 62*y**3 + 7*y**4 in the form u*y**4 + w*y**3 + n*y + d*y**2 + c and give u.
1
Rearrange -3247*s - 6322 + 6322 to the form j*s + h and give j.
-3247
Rearrange (n - 1 + 1)*(33*n - 24*n - 23*n + 2*n - 4*n + 4*n - 3*n + n + 3*n + (-2 + 0 + 0)*(-4*n + n + n)) to the form g + p*n + m*n**2 and give m.
-7
Express (-9*h + 41*h + 4*h)*(-5007 + 5007 + 15*h) as z*h**2 + f*h + d and give z.
540
Rearrange 2*a - 43*a**2 - 7*a**4 + a**4 + 1783*a**3 - 1783*a**3 + 9*a**2 to t*a + s*a**4 + p*a**2 + n*a**3 + q and give t.
2
Rearrange -130 + 177 + 5*t + 9*t - 2*t to the form g*t + a and give g.
12
Express -4*b - 2*b + 46 + b - b in the form l + m*b and give l.
46
Rearrange (43 + 52 - 117 + (-3 - 1 + 2)*(-6 + 4 + 3) - 1 - 4 - 3)*(o - 5 + 5) to t + c*o and give c.
-32
Express -15*i + 38086*i**2 + 26*i + 49 - 38116*i**2 - 13*i as c*i**2 + f*i + r and give c.
-30
Rearrange 528812 - 2332*a**2 - 528812 to the form r*a**2 + c + s*a and give r.
-2332
Rearrange -410 + 24*i - 61*i + 30*i + 1633 to z*i + p and give p.
1223
Express (14*w**2 - 97 + 97)*(73*w**2 + 14*w**2 + 83*w**2) in the form y + u*w**4 + c*w**3 + v*w + t*w**2 and give u.
2380
Express 95 - 561 + 25372*w - 25386*w in the form q + r*w and give q.
-466
Express (56 + 27 + 17 - 26)*(j - 55669*j**3 + 5*j**4 + 21*j**4 + 55670*j**3) as i*j**4 + f*j + w*j**3 + y*j**2 + x and give f.
74
Express (0 - 1 - 4)*(b**3 + 3*b**3 - 2*b**3) + (-b**2 + 3*b**2 - 4*b**2)*(1682*b - 794*b - 1288*b) as d*b + z*b**2 + m*b**3 + o and give m.
790
Rearrange -70 - 14*u + 103 + 18*u to h*u + d and give h.
4
Express -57*p - 183 + 73*p - 54 + 20 as g + h*p and give h.
16
Express 10*g**3 + 111451*g**2 - 111482*g**2 + 29*g - 28*g in the form y*g**3 + l*g + r + o*g**2 and give o.
-31
Express 225 + 67*i + 73*i - 205*i + 65*i - i**2 in the form x*i**2 + m + a*i and give x.
-1
Express 6*x**3 - 5*x**2 + 58*x**2 + 4*x + 118 - 102 - 51*x**2 as d*x**3 + n*x**2 + f + t*x and give d.
6
Rearrange (3 - 1 + 0 - 21 + 10 - 4 + 0 + 0 + 2 + (4 - 4 + 2)*(-2 + 1 + 5))*(g - 3*g + 6*g) to t + r*g and give r.
-12
Express -18103*i**2 + 9102*i**2 + 1 + 9102*i**2 in the form d + n*i**2 + z*i and give z.
0
Express -8*c**2 - 539*c**3 + 1081*c**3 - 113*c**2 - 544*c**3 in the form z*c + y + d*c**3 + l*c**2 and give l.
-121
Express 3*x**3 + 9*x**3 - 3*x**3 + x**4 + 4 - 2*x + 4*x as n*x + h*x**2 + c*x**3 + l + i*x**4 and give l.
4
Express -98306*w**3 - 34*w + 98297*w**3 + 31*w + 1 + w**2 in the form t*w + x*w**3 + j + n*w**2 and give j.
1
Rearrange 1325*o + 1608*o + 2045*o to t*o + r and give t.
4978
Express 19*r - 97*r + 784*r**2 - 1573*r**2 + 784*r**2 in the form l + x*r + a*r**2 and give a.
-5
Rearrange (4*l - 2*l + l)*(0 - 1 - 1)*(-1 + 3 - 5) + (-2 - 1 - 1)*(11 - 11 + l) + 17*l + 0*l + 64*l to the form r + i*l and give i.
95
Express 14756*g**2 - 595*g + 14751*g**2 - 29505*g**2 in the form t*g**2 + c*g + f and give t.
2
Express -k**2 - 2 + 88*k + 147*k**3 + 139*k**3 - 288*k**3 in the form q*k**3 + n + v*k + u*k**2 and give n.
-2
Express 148*a**3 + 0*a**2 - 52*a**3 - 20 - 2*a + 33*a**3 - a**2 + 87*a**3 as t*a**3 + b*a**2 + q + z*a and give t.
216
Express 6 + 107 - 59 + 885*s**3 - s**2 - 61 + 2*s**2 in the form b + n*s**2 + f*s + c*s**3 and give b.
-7
Express -14251*u - 509 - 10542*u - 1274*u + 509 in the form w*u + m and give w.
-26067
Express (-3*w + w + w)*((2 + 0 + 2)*(5 - 2 - 4) - 4 + 9 + 14 - 4 - 1 + 3)*(-26 + 43 - 21 + w) as b*w + f*w**2 + p and give b.
52
Rearrange (9 - 7*g + 5*g + 2)*(-5 - 4 + 1 + 112 - 306 + 131 - 2 + 2 + 1 + (4 - 2 - 1)*(3 - 8 + 3)) to o*g + c and give c.
-792
Rearrange 2*s**2 - 18688*s**3 + 5*s**4 + 0*s**2 + 18674*s**3 + 2*s to y*s**3 + f*s**4 + w*s + b*s**2 + m and give f.
5
Express -19*l - 15*l - 29*l + 81*l + 232 - 17*l in the form m*l + c and give c.
232
Rearrange 3098*h - 5889*h**2 - 3098*h to v + k*h + o*h**2 and give o.
-5889
Express (1767*b**2 + 2212*b**2 + 2220*b**2 + 962*b**2)*(-4 + 2 + 3) as i*b + z*b**2 + d and give i.
0
Rearrange 37*x**2 - 44 + 42*x**2 - 176*x**2 + 94*x**2 to d + u*x + c*x**2 and give c.
-3
Express 4*t**2 - 2*t**2 - 4*t**2 + (-3*t - 2*t + 3*t)*(t + 2*t - 5*t) - 161*t - 57378*t**2 + 513*t - 164*t - 188*t in the form f*t**2 + j + m*t and give f.
-57376
Express 110 + 81 - 77 + 5*g + 232 as j*g + q and give q.
346
Express 4*i**3 - 212*i**4 - 4*i**3 - 4*i + 36*i**2 + 4 - 34*i**2 + 211*i**4 - i**3 as d*i**4 + s*i + t*i**2 + m*i**3 + x and give m.
-1
Rearrange -85*d + 2*d**2 - 934 - 5*d**2 - 49*d - d**2 + 132*d to f*d + o + h*d**2 and give o.
-934
Rearrange -3799*x + 25*x**2 + 3*x**3 + 3 - 10*x**4 - 23*x**2 + 3797*x to c*x**2 + g*x**4 + r*x**3 + w*x + o and give w.
-2
Rearrange 0*i + 21 - 3 - 29*i - 35*i to the form l + w*i and give l.
18
Rearrange -712*v + 16 - 16 - 5783*v to the form o + h*v and give h.
-6495
Express 4302*h - 202 - 194 + 585 - 189 in the form j + l*h and give l.
4302
Express 1 + 347272*z**2 - 3*z + 0*z - 8 + 0*z - 347274*z**2 in the form c + g*z**2 + k*z and give k.
-3
Rearrange (-f - 10*f - 2*f)*(-4 - 3 + 3) + (5 - 3 - 4)*(2*f + 0*f + f) - 14*f - 137 + 137 to a + d*f and give d.
32
Rearrange -14 - 514*s**3 + 48 - 19 - 15 - s to n*s + d*s**2 + c + o*s**3 and give o.
-514
Express (17*h**3 + 17*h**3 - 4*h**3)*(-2 - 3*h + 2*h + 0) - 179*h**3 + 179*h**3 + h**4 - 19*h**2 in the form d + f*h**3 + q*h + k*h**4 + u*h**2 and give k.
-29
Express -697 + 2899*k - 847 + 1543 in the form a*k + d and give a.
2899
Express -9 - 63*x**2 + 7*x**3 - 12 + 17*x**2 + 10*x**2 + 44*x**2 in the form i*x + f + v*x**2 + s*x**3 and give s.
7
Rearrange (0 + 7 - 2)*(-43 + 55 - 319)*(-2 + 2 - 2*b)*(3*b - 5*b + b) to the form t*b + g + u*b**2 and give u.
-3070
Rearrange (2*i - 1 + 1 + (102*i - 129*i - 72*i)*(-3 - 3 + 5))*(3 - 2*i - 3) to y*i**2 + o + a*i and give y.
-202
Express (7*n + 13*n - 6*n)*(-1552*n - 1084*n**2 + 1552*n) in the form z*n**2 + d*n**3 + m*n + a and give d.
-15176
Rearrange 4*p**2 - 16*p**2 + 4*p**2 + 5*p**2 - 157*p**3 - 648*p**3 to s*p + h*p**2 + d + r*p**3 and give r.
-805
Express (-3*n**2 - 5*n**3 + 3*n**2)*(-28031606 - 3010*n + 28031606) as w + o*n**4 + d*n**3 + q*n + y*n**2 and give o.
15050
Rearrange 3*y**2 - 13*y**3 + 64*y + 3*y**2 + 12*y**3 - 62*y - 23 - 17 + 2*y**4 to o*y**3 + w*y + z*y**2 + a*y**4 + c and give z.
6
Rearrange (0*v**3 + 4*v**3 - 5*v**3)*(0 + 0 - 1)*(-1 + 4 + 2)*(-4 - 2 + 4)*(0 + 3 - 1)*(-1022 + 1598 - 840) to n*v**2 + t*v**3 + x + z*v and give t.
5280
Rearrange -470*a - 800*a - 2144*a - 8726*a - 10685*a to b*a + o and give b.
-22825
Express 25*w**4 - 20*w**4 - 17*w**2 + 1 + 15*w**2 + 35*w - 34*w - 36*w**3 - 59*w**3 in the form a*w**3 + z*w**2 + d*w**4 + b + p*w and give d.
5
Rearrange -16*f**2 + 1143 - 1145 + 4*f**2 - 5*f**2 + 0*f**2 + 3*f**2 + f**2 + f**2 - 3*f**2 + (f - 2*f + 2*f)*(-3*f + 5*f - 3*f) to n + r*f**2 + g*f and give r.
-16
Express 3*y**2 - 373 - 4*y**4 + 0*y**2 + 378 + 20*y**3 - 8*y**3 as m | {
"pile_set_name": "DM Mathematics"
} |
by -8.
5/4
Divide 5 by 42.
5/42
-416 divided by -4
104
Divide 1132 by -6.
-566/3
4992 divided by -1664
-3
What is -355 divided by -2?
355/2
Divide 154 by -14.
-11
Divide 3130 by 626.
5
Divide -37 by -44.
37/44
Calculate 63 divided by 152.
63/152
-1 divided by 404
-1/404
-50 divided by -83
50/83
What is 24 divided by -6?
-4
Divide -796 by 4.
-199
Divide -1 by -220.
1/220
1644 divided by -548
-3
Calculate 0 divided by -91.
0
Divide 138 by 23.
6
Divide -10 by 156.
-5/78
What is -2604 divided by -7?
372
Calculate -468 divided by 36.
-13
-29 divided by -145
1/5
What is 1900 divided by 190?
10
-2 divided by 810
-1/405
-2632 divided by -5
2632/5
What is -99 divided by -94?
99/94
Divide 3 by 10.
3/10
What is 10 divided by -2?
-5
Calculate 24 divided by -429.
-8/143
What is -77 divided by -57?
77/57
-4 divided by 641
-4/641
What is -1332 divided by -444?
3
Divide 2 by 285.
2/285
4303 divided by -331
-13
Divide 1691 by 1.
1691
What is 14750 divided by 10?
1475
Divide 6 by 2.
3
Calculate 66 divided by -3.
-22
Calculate 1572 divided by -1.
-1572
Calculate 270 divided by -9.
-30
Calculate 337 divided by 4.
337/4
What is 61 divided by -5?
-61/5
Calculate 293 divided by -4.
-293/4
What is 4 divided by -3?
-4/3
-668 divided by -1
668
Divide 160122 by -6.
-26687
What is 6376 divided by -1594?
-4
Divide 551 by 1.
551
Calculate 20 divided by 5.
4
Calculate 1664 divided by -32.
-52
-47 divided by -1
47
What is 1032 divided by 6?
172
What is -1408 divided by 16?
-88
Calculate 83 divided by -5.
-83/5
67 divided by -1
-67
What is -29 divided by -39?
29/39
Divide 3230 by -646.
-5
1065 divided by 3
355
5 divided by -456
-5/456
Divide 97 by -5.
-97/5
What is -114 divided by -38?
3
What is 3 divided by -658?
-3/658
What is -1205 divided by -5?
241
Divide 11085 by 3.
3695
Divide 2 by 6176.
1/3088
9 divided by -36
-1/4
Calculate -6 divided by -2.
3
What is 4 divided by -1463?
-4/1463
-3 divided by 2359
-3/2359
Divide -237 by 10.
-237/10
5148 divided by -26
-198
What is -97011 divided by -3?
32337
Calculate 43 divided by 43.
1
Calculate -570 divided by 2.
-285
Divide -1672 by 8.
-209
-24 divided by 32
-3/4
Calculate 357 divided by 7.
51
What is 810 divided by -6?
-135
Calculate 2610 divided by -6.
-435
What is -910 divided by -5?
182
Calculate -16 divided by 115.
-16/115
What is 69 divided by 69?
1
What is -1008 divided by 4?
-252
-3 divided by -2516
3/2516
-92 divided by -4
23
What is 38 divided by -1?
-38
What is -115 divided by -60?
23/12
What is 6 divided by 25?
6/25
Divide 38 by -202.
-19/101
Divide -336 by 4.
-84
-325 divided by -25
13
What is 15549 divided by -3?
-5183
What is -3835 divided by 5?
-767
Divide 20 by 3.
20/3
What is 9932 divided by 2483?
4
Divide -399 by 6.
-133/2
Calculate 253 divided by -1.
-253
Calculate -1 divided by -67.
1/67
Divide 1132 by -1.
-1132
Divide -2402 by 5.
-2402/5
What is 186 divided by 31?
6
Calculate -125 divided by 2.
-125/2
Divide -6043 by -1.
6043
Calculate 5728 divided by -2864.
-2
5 divided by -18
-5/18
-204 divided by -4
51
1 divided by 93
1/93
0 divided by 135
0
What is -5082 divided by 3?
-1694
What is 76 divided by 38?
2
What is 4 divided by -205?
-4/205
What is 0 divided by 941?
0
What is 1680 divided by -3?
-560
Divide -960 by -40.
24
-1791 divided by -3
597
171 divided by -37
-171/37
Divide 0 by -78.
0
-126 divided by 42
-3
What is 1 divided by -96?
-1/96
Calculate -14752 divided by -4.
3688
What is -28 divided by 7?
-4
What is 852 divided by 2?
426
-9740 divided by 1948
-5
-14 divided by -30
7/15
Divide -43 by -9.
43/9
672 divided by -5
-672/5
What is -12 divided by 45?
-4/15
902 divided by 22
41
Calculate -2482 divided by -5.
2482/5
What is 114 divided by 4?
57/2
920 divided by 2
460
36 divided by 9
4
2618 divided by -2
-1309
Calculate -2 divided by -357.
2/357
Divide -60 by 2.
-30
What is 0 divided by 152?
0
Calculate 14 divided by -14.
-1
What is -2337 divided by 3?
-779
Divide -369 by -41.
9
What is -185 divided by 5?
-37
What is 14 divided by -14?
-1
Divide 728 by 24.
91/3
What is 3990 divided by -3?
-1330
Calculate -2 divided by -901.
2/901
What is -149736 divided by -4?
37434
-7 divided by 8
-7/8
What is -114 divided by -1?
114
Divide -2 by -43.
2/43
523 divided by 8
523/8
Calculate 9603 divided by 291.
33
Divide -7436 by -2.
3718
Divide 216 by -54.
-4
Divide -53 by -1.
53
Calculate 2895 divided by -5.
-579
What is 4321 divided by -3?
-4321/3
What is 25 divided by 5?
5
Divide 0 by -86.
0
3 divided by 1087
3/1087
-719 divided by -3
719/3
What is 7434 divided by -3?
-2478
What is 362 divided by 3?
362/3
21504 divided by 2688
8
What is 150 divided by -1?
-150
What is 12 divided by 2?
6
What is 75 divided by -25?
-3
-60 divided by 9
-20/3
What is -1 divided by -42?
1/42
Calculate 4710 divided by -157.
-30
Divide -85 by -42.
85/42
Calculate 102 divided by 4.
51/2
Divide 603 by -9.
-67
156 divided by -3
-52
What is -4500 divided by -25?
180
Divide -5 by 105.
-1/21
Calculate 9 divided by -75.
-3/25
What is 217 divided by 9?
217/9
What is -972 divided by 6?
-162
-232 divided by -3
232/3
Calculate 2915 divided by 583.
5
Divide 1125 by -3.
-375
Calculate 48 divided by 27.
16/9
162 divided by -8
-81/4
Calculate 85 divided by -17.
-5
Calculate 13530 divided by 2.
6765
Divide 4 by 79.
4/79
122 divided by 61
2
Divide -1916 by 2.
-958
38 divided by 38
1
Divide 1 by 92.
1/92
What is -387 divided by 129?
-3
Calculate -360 divided by 360.
-1
What is 4506 divided by -3?
-1502
Divide -20 by -4.
5
-1992 divided by -3
664
What is -68 divided by -1?
68
Divide -3316 by 1.
-3316
Calculate -90 divided by 1.
-90
Calculate 0 divided by -3628.
0
Calculate 152 divided by -12.
-38/3
0 divided by -20
0
What is 4 divided by -101?
-4/101
Calculate -1638 divided by -2.
819
What is 2245 divided by 1?
2245
Calculate 2224 divided by 1112.
2
Divide 4905 by -6.
-1635/2
What is -33 divided by 596?
-33/596
What is 3102 divided by 6?
517
Calculate 0 divided by 692.
0
Calculate -840 divided by 168.
-5
-13 divided by -199
13/199
Calculate 2 divided by 1925.
2/1925
Divide 3 by 5.
3/5
583 divided by 53
11
What is 449 divided by 7?
449/7
-4 divided by -58
2/29
Calculate -8754 divided by 1459.
-6
Calculate -3218 divided by 1.
-3218
Divide 17 by 8.
17/8
1164 divided by -12
-97
What is 1084 divided by -4?
-271
Calculate -58 divided by -1.
58
Calculate -378 divided by -42.
9
What is 32 divided by 64?
1/2
-73 divided by -1
73
Divide 3 by 26.
3/26
What is -4 divided by -19?
4/19
67698 divided by -3
-22566
Divide -68 by -6.
34/3
-9 divided by 411
-3/137
Calculate 285 divided by -1.
-285
Divide 6054 by 6.
1009
What is -570 divided by 57?
-10
What is -2 divided by 678?
-1/339
-2 divided by 118
-1/59
Calculate -5017 divided by 5017.
-1
Divide 8982 by 3.
2994
Divide -4 by 17.
-4/17
What is 0 divided by 3?
0
Calculate 3 divided by -118.
-3/118
1 divided by -429
-1/429
11 divided by 11
1
Divide 8921 by -5.
-8921/5
Calculate 204 divided by -12.
-17
Divide -1860 by 5.
-372
5 divided by -82
-5/82
What is 169 divided by 13?
13
Divide -101 by 1.
-101
Calculate -5 divided by -776.
5/776
Divide 2322 by -43.
-54
Divide 0 by -163.
0
What is -31 divided by -22?
31/22
Divide -367 by -44.
367/44
Divide 3690 by 738.
5
Divide 9 by 4.
9/4
-90 divided by -15
6
Calculate 699 divided by 3.
233
Calculate 5 divided by 62.
5/62
What is 5 divided by -1505?
-1/301
Divide -531 by 59.
-9
Divide 7700 by 11.
700
-2 divided by 334
-1/167
Divide 1 by -4182.
-1/4182
What is -711 divided by 13?
-711/13
Divide 265 by -53.
-5
What is -12810 divided by -5?
2562
Divide -69 by 3.
-23
Divide 490 by -98.
-5
-3400 divided by 4
-850
28572 divided by -6
-4762
-210 divided by 21
-10
Divide -4 by -4829.
4/4829
Divide -4 by 2822.
-2/1411
Calculate -10440 divided by -2088.
5
Calculate 10 divided by -83.
-10/83
Divide -17 by 19.
-17/19
What is 1 divided by -248?
-1/248
1215 divided by 405
3
1948 divided by -487
-4
Calculate -880 divided by 5.
-176
What is -4386 divided by -4?
2193/2
-596 divided by 1
-596
-6 divided by -401
6/401
-1195 divided by 1195
-1
Divide 536 by 4.
134
Divide 37206 by -2.
-18603
Divide 2600 by -5.
-520
Divide -1719 by -1.
1719
-4 divided by 4715
-4/4715
Divide 560 by 7.
80
What is -270 divided by 4?
-135/2
-44 divided by -1
44
What is 1381 divided by 1?
1381
-2758 divided by 7
-394
Calcula | {
"pile_set_name": "DM Mathematics"
} |
at -2*u**2/7 + 446472*u/7 - 1785856/7 = 0.
4, 223232
Find d such that -d**3 - 417*d**2 - 4484*d - 7308 = 0.
-406, -9, -2
Suppose 3*w**2/4 + 4305*w/4 - 1077 = 0. Calculate w.
-1436, 1
What is q in -2*q**4/7 - 4*q**3/7 + 624*q**2/7 + 4672*q/7 + 1280 = 0?
-14, -4, 20
Factor 4*m**3 + 305176*m**2 - 1525980*m.
4*m*(m - 5)*(m + 76299)
Solve -2*l**2/5 + 704720*l - 310393924000 = 0.
880900
Determine q so that -5*q**5 - 830*q**4 + 4230*q**3 - 7660*q**2 + 5975*q - 1710 = 0.
-171, 1, 2
Factor -v**2/5 - 48244*v/5 - 581870884/5.
-(v + 24122)**2/5
Solve 5*b**3/4 - 1071*b**2/4 + 22179*b/4 - 4393/4 = 0.
1/5, 23, 191
Determine l, given that -l**2 + 652250*l - 106357515625 = 0.
326125
Factor -5*c**4 + 45*c**3 + 230*c**2 - 1320*c.
-5*c*(c - 11)*(c - 4)*(c + 6)
Let 22*x**3 + 7914*x**2 - 2188*x - 10080 = 0. Calculate x.
-360, -1, 14/11
What is q in 2*q**3 - 6268*q**2 - 6270*q = 0?
-1, 0, 3135
Factor w**4/4 + 709*w**3/2 + 499833*w**2/4 - 505521*w.
w*(w - 4)*(w + 711)**2/4
Factor 2*l**2/17 + 91084*l/17 - 5358.
2*(l - 1)*(l + 45543)/17
Determine t, given that -5*t**4/6 - 13875*t**3 + 1463000*t**2 - 153829375*t/3 + 1197284375/2 = 0.
-16755, 35
Factor -3*t**3/4 - 657*t**2/4 + 21735*t/4 - 168075/4.
-3*(t - 15)**2*(t + 249)/4
Determine w so that w**2/6 + 13723*w + 564962187/2 = 0.
-41169
Determine o, given that 3*o**3/7 - 1233*o**2/7 + 162360*o/7 - 6697104/7 = 0.
83, 164
Let 3*a**2/7 - 56580*a/7 + 266774700/7 = 0. What is a?
9430
Suppose -h**5 + 53*h**4 + 229*h**3 - 41*h**2 - 900*h - 684 = 0. Calculate h.
-3, -2, -1, 2, 57
What is n in n**3/4 - 189*n**2/4 + 6623*n/4 - 6435/4 = 0?
1, 45, 143
Factor -75*u**2 + 67190*u + 8960.
-5*(u - 896)*(15*u + 2)
Factor -4*a**2 - 800*a + 17600.
-4*(a - 20)*(a + 220)
Factor -k**3 + 28*k**2 + 581*k - 1968.
-(k - 41)*(k - 3)*(k + 16)
Let d**2 - 961 = 0. What is d?
-31, 31
Determine k so that -4*k**5/7 + 3480*k**4/7 + 24536*k**3/7 + 17664*k**2/7 - 108628*k/7 - 105240/7 = 0.
-5, -3, -1, 2, 877
Factor -2*f**4/3 - 6*f**3 - 4*f**2 + 32*f/3.
-2*f*(f - 1)*(f + 2)*(f + 8)/3
Solve 5*z**3 - 4660*z**2 - 470585*z - 465920 = 0.
-91, -1, 1024
Let 2*g**4/9 + 22*g**3/3 - 5054*g**2/9 + 2654*g - 3124 = 0. Calculate g.
-71, 2, 3, 33
Factor -2*n**4/9 + 2474*n**3/9 + 4954*n**2/9 + 826*n/3.
-2*n*(n - 1239)*(n + 1)**2/9
Suppose a**4/2 + 81*a**3/2 - 534*a**2 + 2200*a - 2976 = 0. Calculate a.
-93, 4
What is n in n**2 - 23200*n = 0?
0, 23200
Determine y, given that 34*y**3/3 - 22544*y**2/9 + 22882*y/9 - 440/9 = 0.
1/51, 1, 220
Let 4*n**5/5 - 12*n**4/5 - 72*n**3/5 + 344*n**2/5 - 444*n/5 + 36 = 0. Calculate n.
-5, 1, 3
Suppose 2*l**4/13 + 1726*l**3/13 - 30036*l**2/13 - 102160*l/13 - 70400/13 = 0. Calculate l.
-880, -2, -1, 20
Determine f so that 2*f**3/7 - 7244*f**2/7 + 144080*f/7 = 0.
0, 20, 3602
Factor -a**4/10 + 39*a**3/5 - 126*a**2 + 580*a.
-a*(a - 58)*(a - 10)**2/10
Suppose -2*w**3/15 - 2670*w**2 - 26698*w/5 - 40046/15 = 0. Calculate w.
-20023, -1
Factor 2*g**4 + 13508*g**3 + 21843098*g**2 - 3259345320*g + 116441728200.
2*(g - 70)**2*(g + 3447)**2
Factor -r**4/8 - 2281*r**3/8 - 1252719*r**2/8 + 55264761*r/8.
-r*(r - 41)*(r + 1161)**2/8
Factor 2*d**2 - 1402*d - 84784.
2*(d - 757)*(d + 56)
Factor -2*q**2/5 + 6*q + 4028/5.
-2*(q - 53)*(q + 38)/5
Factor -2*j**4 - 120*j**3 - 832*j**2.
-2*j**2*(j + 8)*(j + 52)
Find z such that -z**5/7 + 296*z**4/7 - 563*z**3/7 - 7400*z**2/7 + 2100*z = 0.
-5, 0, 2, 5, 294
Factor 305*d**2/2 + 86011*d + 564.
(d + 564)*(305*d + 2)/2
Suppose 4*t**5 + 96*t**4 - 320*t**3 + 120*t**2 + 316*t - 216 = 0. What is t?
-27, -1, 1, 2
Let 12*s**2 - 2759840*s + 1839888 = 0. What is s?
2/3, 229986
Factor -9*m**3 - 1957*m**2 + 7088*m + 3536.
-(m - 4)*(m + 221)*(9*m + 4)
Find p such that p**4/2 - 17*p**3/2 - 632*p**2 - 5504*p + 6144 = 0.
-16, 1, 48
Factor -2*l**4 - 52*l**3 - 218*l**2 + 1848*l + 10584.
-2*(l - 6)*(l + 7)**2*(l + 18)
Suppose p**3 + 2925*p**2 - 4*p - 11700 = 0. What is p?
-2925, -2, 2
Determine b so that 18*b**3 + 9357*b**2 + 108168*b - 18288 = 0.
-508, -12, 1/6
Find z, given that -4*z**5/5 - 1648*z**4/5 + 78156*z**3/5 - 954072*z**2/5 + 1608768*z/5 = 0.
-456, 0, 2, 21
Factor -2*m**3/9 + 9844*m**2/9 - 12132706*m/9 + 48373448/9.
-2*(m - 2459)**2*(m - 4)/9
Factor 3*w**3/7 + 141264*w**2/7 + 237545505*w - 3326202150/7.
3*(w - 2)*(w + 23545)**2/7
Factor -67*m**3/3 - 649*m**2 - 664*m - 112/3.
-(m + 1)*(m + 28)*(67*m + 4)/3
Determine o so that o**3 - 225*o**2 + 218*o + 1344 = 0.
-2, 3, 224
Factor -350*c**2 + 1011*c + 117.
-(c - 3)*(350*c + 39)
Determine o so that -343*o**5/3 - 128870*o**4/3 - 30541*o**3 + 94772*o**2/3 + 102064*o/3 + 8000 = 0.
-375, -4/7, 1
Find f such that -f**5/4 - f**4/2 + 377*f**3/4 - 865*f**2/2 - 1957*f - 1430 = 0.
-22, -2, -1, 10, 13
Determine p, given that 5*p**5 + 295*p**4 + 3735*p**3 - 23095*p**2 - 134540*p = 0.
-31, -4, 0, 7
Factor 55*a**3 - 3985*a**2 - 2190*a.
5*a*(a - 73)*(11*a + 6)
Factor 5*q**4 - 115*q**3 - 5*q**2 + 115*q.
5*q*(q - 23)*(q - 1)*(q + 1)
Find o such that 4*o**4/9 + 88*o**3/9 + 640*o**2/9 + 512*o/3 = 0.
-8, -6, 0
Solve 2*i**2/7 + 16*i - 114/7 = 0 for i.
-57, 1
Determine h so that -36*h**2 - 812*h/3 - 328 = 0.
-6, -41/27
Solve i**2/2 + 112*i - 225/2 = 0 for i.
-225, 1
Determine t, given that -9*t**5 - 9192*t**4 - 39702*t**3 - 39672*t**2 - 9153*t = 0.
-1017, -3, -1, -1/3, 0
Let -a**2/3 - 104903*a/3 - 69934 = 0. What is a?
-104901, -2
Let -8*y**4/3 + 451*y**3 + 407*y**2 - 5240*y/3 - 1700 = 0. What is y?
-15/8, -1, 2, 170
Determine u so that -3*u**4 - 3831*u**3 + 50274*u**2 - 46440*u = 0.
-1290, 0, 1, 12
Determine l, given that -69*l**2/5 + 1011*l/5 + 4158/5 = 0.
-77/23, 18
Let -5330*j**5 + 122605*j**4 - 762535*j**3 + 647075*j**2 - 1815*j = 0. Calculate j.
0, 3/1066, 1, 11
Find z such that -2*z**3/11 - 4318*z**2/11 + 17296*z/11 - 17304/11 = 0.
-2163, 2
Find g such that -4*g**3 + 176*g**2 - 756*g - 29160 = 0.
-10, 27
Solve -y**2/5 - 14104*y/5 - 98679/5 = 0 for y.
-14097, -7
Determine m, given that -6*m**3/7 + 2152*m**2/7 + 53576*m/7 - 36672/7 = 0.
-24, 2/3, 382
Let -4*t**5/5 - 21*t**4/5 + 11*t**3 + 39*t**2 - 171*t/5 - 54/5 = 0. What is t?
-6, -3, -1/4, 1, 3
Determine u, given that 2*u**3/3 - 74186*u**2/3 + 741710*u/3 - 618050 = 0.
5, 37083
What is a in 3*a**5 + 16021*a**4 + 53371*a**3 + 5331*a**2 - 32022*a = 0?
-5337, -3, -1, 0, 2/3
Determine c so that 3*c**5 + 1971*c**4 + 5886*c**3 - 12*c**2 - 7848*c = 0.
-654, -2, 0, 1
Find d such that d**5/6 + 71*d**4/2 + 4856*d**3/3 - 1726*d**2 - 9928*d/3 = 0.
-146, -68, -1, 0, 2
Determine z, given that -60*z**5 - 3176*z**4 + 27076*z**3 + 99376*z**2 + 73200*z + 14400 = 0.
-60, -2, -3/5, -1/3, 10
Suppose -2*c**3/5 + 298*c**2/5 - 4856*c/5 - 2184 = 0. Calculate c.
-2, 21, 130
What is f in f**4 - 1447*f**3 + 292146*f**2 - 16119828*f + 15829128 = 0?
1, 114, 1218
Determine t so that -t**3 + 2884*t**2 - 2076477*t - 4164498 = 0.
-2, 1443
Let 2*w**4/3 + 196*w**3/3 - 202*w**2 + 8*w/3 + 808/3 = 0. Calculate w.
-101, -1, 2
Let -2*y**2/17 + 207104*y/17 - 5361508352/17 = 0. Calculate y.
51776
Factor -2*u**3 - 124*u**2 + 254*u - 128.
-2*(u - 1)**2*(u + 64)
Suppose 3*p**2/2 + 10956*p - 175680 = 0. Calculate p.
-7320, 16
Factor -4*q**5 + 48*q**4 + 168*q**3 - 3920*q**2 + 12348*q.
-4*q*(q - 7)**3*(q + 9)
Factor 3*w**3 + 351*w**2 + 8106*w - 61920.
3*(w - 6)*(w + 43)*(w + 80)
Find w, given that 3*w**5/5 + 721*w**4/5 + 30021*w**3/5 - 263649*w**2/5 + 479768*w/5 + 38064 = 0.
-183, -65, -1/3, 4
Suppose -4*w**5/7 + 3260*w**4/7 - 82252*w**3/7 + 154740*w**2/7 - 75744*w/7 = 0. Calculate w.
0, 1, 24, 789
Factor -2*p**2 + 35924*p + 35926.
-2*(p - 17963)*(p + 1)
Factor -v**2/8 + 2669*v/4 - 227685/8.
-(v - 5295)*(v - 43)/8
What is r in 5*r**5 - 310*r**4 + 3790*r**3 - 12260*r**2 - 10515*r + 63450 = 0?
-2, 3, 5, 9, 47
Let 2*x**4 - 52*x**3 - 294*x**2 - 488*x - 248 = 0. Calculate x.
-2, -1, 31
Find r, given that r**2/5 - 278*r/5 - 1192 = 0.
-20, 298
Let -4*o**3 + 24896*o**2 + 950380*o + 9042328 = 0. What is o?
-19, 6262
Solve 5*z**2 - 2966800*z + 440095112000 = 0.
296680
Find m, given that 4*m**2 + 199300*m + 199296 = 0.
-49824, -1
Let 3*a**3 - 102*a**2 - 1872*a - 6912 = 0. What is a?
-8, -6, 48
Factor -m**3 - 246*m**2 - 968*m.
-m*(m + 4)*(m + 242)
Determine l, given that 2*l**4 - 4234*l**3 + 2234480*l**2 + 6741600*l = 0.
-3, 0, 1060
Let 4*t**2 - 18028*t + 376824 = 0. What is t?
21, 4486
Factor -3*u**3 - 12 | {
"pile_set_name": "DM Mathematics"
} |
1?
61
Calculate the remainder when 15278 is divided by 54.
50
Calculate the remainder when 10488 is divided by 49.
2
Calculate the remainder when 26191 is divided by 8719.
34
Calculate the remainder when 24746 is divided by 55.
51
Calculate the remainder when 11158 is divided by 607.
232
What is the remainder when 1105873 is divided by 125?
123
What is the remainder when 13678 is divided by 1951?
21
What is the remainder when 2791 is divided by 40?
31
Calculate the remainder when 2661 is divided by 7.
1
Calculate the remainder when 1040 is divided by 437.
166
Calculate the remainder when 20829 is divided by 274.
5
Calculate the remainder when 2016 is divided by 498.
24
What is the remainder when 49847 is divided by 6229?
15
What is the remainder when 4399 is divided by 407?
329
What is the remainder when 209637 is divided by 68?
61
What is the remainder when 947 is divided by 622?
325
What is the remainder when 4885 is divided by 384?
277
Calculate the remainder when 73117 is divided by 94.
79
What is the remainder when 307680 is divided by 9?
6
What is the remainder when 8192 is divided by 122?
18
What is the remainder when 2955 is divided by 76?
67
What is the remainder when 54877 is divided by 343?
340
What is the remainder when 13798 is divided by 29?
23
Calculate the remainder when 64590 is divided by 85.
75
Calculate the remainder when 273080 is divided by 401.
400
What is the remainder when 1300 is divided by 21?
19
What is the remainder when 137374 is divided by 318?
316
Calculate the remainder when 15292 is divided by 31.
9
What is the remainder when 175939 is divided by 312?
283
What is the remainder when 1409 is divided by 77?
23
What is the remainder when 4318 is divided by 126?
34
Calculate the remainder when 46792 is divided by 37.
24
What is the remainder when 363817 is divided by 27?
19
What is the remainder when 245750 is divided by 40?
30
What is the remainder when 2133 is divided by 770?
593
Calculate the remainder when 2517 is divided by 464.
197
What is the remainder when 426014 is divided by 45?
44
Calculate the remainder when 14482 is divided by 2042.
188
Calculate the remainder when 3137 is divided by 713.
285
What is the remainder when 11098 is divided by 60?
58
What is the remainder when 287631 is divided by 549?
504
What is the remainder when 477 is divided by 185?
107
Calculate the remainder when 9800 is divided by 27.
26
Calculate the remainder when 13524 is divided by 195.
69
What is the remainder when 1516 is divided by 442?
190
What is the remainder when 20457 is divided by 852?
9
Calculate the remainder when 6567 is divided by 1491.
603
What is the remainder when 106810 is divided by 92?
90
Calculate the remainder when 27195 is divided by 400.
395
What is the remainder when 820 is divided by 768?
52
Calculate the remainder when 7041 is divided by 281.
16
Calculate the remainder when 857624 is divided by 162.
158
Calculate the remainder when 426 is divided by 334.
92
Calculate the remainder when 15000 is divided by 1363.
7
Calculate the remainder when 1013 is divided by 301.
110
Calculate the remainder when 712 is divided by 52.
36
What is the remainder when 2518 is divided by 109?
11
What is the remainder when 18559 is divided by 2811?
1693
Calculate the remainder when 68088 is divided by 987.
972
Calculate the remainder when 62012 is divided by 64.
60
Calculate the remainder when 4449 is divided by 1286.
591
Calculate the remainder when 2783727 is divided by 28.
23
What is the remainder when 113511 is divided by 74?
69
Calculate the remainder when 25375 is divided by 8454.
13
What is the remainder when 1240 is divided by 547?
146
What is the remainder when 324241 is divided by 1297?
1288
Calculate the remainder when 972879 is divided by 168.
159
What is the remainder when 16983 is divided by 20?
3
What is the remainder when 1443 is divided by 179?
11
What is the remainder when 48864 is divided by 698?
4
What is the remainder when 499349 is divided by 15?
14
Calculate the remainder when 4327 is divided by 28.
15
Calculate the remainder when 802277 is divided by 124.
121
Calculate the remainder when 66883 is divided by 16718.
11
Calculate the remainder when 28151 is divided by 132.
35
What is the remainder when 2967 is divided by 377?
328
Calculate the remainder when 20962 is divided by 159.
133
What is the remainder when 4915 is divided by 2436?
43
What is the remainder when 58409 is divided by 508?
497
Calculate the remainder when 85373 is divided by 23.
20
What is the remainder when 34274 is divided by 418?
416
What is the remainder when 591916 is divided by 140?
136
What is the remainder when 46441 is divided by 6628?
45
What is the remainder when 5647 is divided by 281?
27
What is the remainder when 15180 is divided by 3791?
16
What is the remainder when 504 is divided by 30?
24
What is the remainder when 103055 is divided by 14705?
120
What is the remainder when 11911 is divided by 70?
11
What is the remainder when 97734 is divided by 1303?
9
What is the remainder when 14062 is divided by 270?
22
Calculate the remainder when 222450 is divided by 103.
73
What is the remainder when 203 is divided by 68?
67
What is the remainder when 67666 is divided by 22537?
55
What is the remainder when 4137 is divided by 62?
45
What is the remainder when 668863 is divided by 26754?
13
Calculate the remainder when 568155 is divided by 189381.
12
What is the remainder when 18903 is divided by 9?
3
Calculate the remainder when 110460 is divided by 3682.
0
Calculate the remainder when 219322 is divided by 105.
82
Calculate the remainder when 1414 is divided by 159.
142
Calculate the remainder when 88485 is divided by 3403.
7
What is the remainder when 32032 is divided by 83?
77
What is the remainder when 11705 is divided by 404?
393
What is the remainder when 684699 is divided by 684697?
2
Calculate the remainder when 196037 is divided by 3564.
17
Calculate the remainder when 8682 is divided by 2125.
182
What is the remainder when 8599 is divided by 36?
31
Calculate the remainder when 858296 is divided by 101.
99
Calculate the remainder when 808 is divided by 522.
286
Calculate the remainder when 7505 is divided by 509.
379
What is the remainder when 198089 is divided by 639?
638
What is the remainder when 256318 is divided by 20?
18
Calculate the remainder when 5581 is divided by 126.
37
Calculate the remainder when 219864 is divided by 54962.
16
What is the remainder when 116469 is divided by 5?
4
What is the remainder when 8322 is divided by 832?
2
Calculate the remainder when 1147081 is divided by 5.
1
What is the remainder when 249847 is divided by 249831?
16
Calculate the remainder when 10620 is divided by 125.
120
Calculate the remainder when 1875 is divided by 1852.
23
What is the remainder when 104258 is divided by 37?
29
What is the remainder when 195422 is divided by 99?
95
What is the remainder when 454693 is divided by 322?
29
Calculate the remainder when 5534 is divided by 216.
134
What is the remainder when 600303 is divided by 71?
69
Calculate the remainder when 13914 is divided by 13.
4
Calculate the remainder when 8411 is divided by 156.
143
What is the remainder when 52577 is divided by 344?
289
Calculate the remainder when 706 is divided by 73.
49
What is the remainder when 4469 is divided by 156?
101
What is the remainder when 111838 is divided by 160?
158
What is the remainder when 7826 is divided by 54?
50
Calculate the remainder when 3147 is divided by 10.
7
What is the remainder when 42303 is divided by 32?
31
What is the remainder when 9856 is divided by 32?
0
Calculate the remainder when 5885 is divided by 734.
13
Calculate the remainder when 221494 is divided by 31.
30
What is the remainder when 2664463 is divided by 22?
21
Calculate the remainder when 15026 is divided by 64.
50
What is the remainder when 100187 is divided by 58?
21
Calculate the remainder when 28126 is divided by 2005.
56
Calculate the remainder when 85 is divided by 31.
23
What is the remainder when 348 is divided by 51?
42
Calculate the remainder when 40905 is divided by 54.
27
Calculate the remainder when 125633 is divided by 40.
33
Calculate the remainder when 2055 is divided by 8.
7
Calculate the remainder when 913172 is | {
"pile_set_name": "DM Mathematics"
} |
j = n - -107. Round j to 4 dps.
0.006
Let b = -6.79962368 - -6.229623419. Let n = 0.57 + b. Round n to seven decimal places.
-0.0000003
Let q = 114493355 + -114488339.7761. Let n = -5015 + q. Round n to two dps.
0.22
Let z = 0.696 - 0.63. Let t = 155.48 - 157.506. Let m = z + t. What is m rounded to 1 decimal place?
-2
Let c = 305 - 80. Let i = -44 + c. Let n = -169.1 + i. Round n to the nearest integer.
12
Let b = 2.12 - -133.88. Let z = 1.354267 - 137.353517. Let s = b + z. Round s to four decimal places.
0.0008
Let m = -2388 + 3485. Let n = 1096.999996972 - m. Round n to seven dps.
-0.000003
Let s = -627.7 + 672. Let q = 44.2005 - s. Let u = 0.1 + q. Round u to 3 dps.
0.001
Let v = -602 - -605. Suppose b - 2*q + 3*q = -578, -v*q - 2894 = 5*b. Round b to the nearest one hundred.
-600
Let t = 14.802 - 14.2067. What is t rounded to 1 dp?
0.6
Let l(x) = -12157*x**2 - 11*x - 36. Let j(d) = 24314*d**2 + 22*d + 71. Let k(v) = -4*j(v) - 9*l(v). Let b be k(-8). Round b to the nearest ten thousand.
780000
Let x = 49.5 - 0.5. Let f = x - 49.008. Let n = 0.00800058 + f. What is n rounded to 7 dps?
0.0000006
Let u = 327982 - 231552. Round u to the nearest 10000.
100000
Let p = -69 - -39. Let i = p + 29.967. Let z = i + 0.03. Round z to three dps.
-0.003
Let q = -0.3666 - -0.36651088. Round q to four decimal places.
-0.0001
Let d = 2.3 - 144.3. Let q = 141.9932 + d. What is q rounded to three dps?
-0.007
Let f = -24.02023 + -0.35257. Let a = f - -46.37283. Let z = 22 - a. What is z rounded to 5 decimal places?
-0.00003
Let n(m) = 585*m**3 - 5850*m**3 - 41*m - 2608*m**3 + 44*m - 6 + 8*m**2. Let s be n(-6). Suppose s = 3*y - 849168. Round y to the nearest one hundred thousand.
900000
Let i = 1018.9758 + -1019. Let m = -0.0241691 - i. What is m rounded to 6 dps?
0.000031
Let x(m) be the third derivative of -11/3*m**3 + 0 + 1/24*m**4 - 62037/5*m**5 + 0*m - 20*m**2. Let w be x(6). Round w to the nearest one million.
-27000000
Let u = -1.62 - -130.62. Let i = 129.207 - u. What is i rounded to two decimal places?
0.21
Let x(s) be the third derivative of -s**6/120 - s**4/24 - 5000*s**3/3 - s**2. Let t = 525 - 525. Let w be x(t). What is w rounded to the nearest ten thousand?
-10000
Let q = 33.001 - 33.001024375. Round q to five dps.
-0.00002
Let n(v) = v**2 + 16*v + 99. Let b be n(-9). Let d be (-18 + -160)*b/8. Round d to the nearest ten.
-800
Let o = 146.549625 - 0.028625. What is o rounded to the nearest integer?
147
Let f = 308.07 + -30.87. Let c = f - 276. What is c rounded to 0 decimal places?
1
Let p = -0.491 + 282.491. Let u = -163.6 + p. Round u to the nearest 10.
120
Let q = -1460.915 + 1466. Let b = q - 5.6. What is b rounded to one dp?
-0.5
Let m(g) = 15*g + 111. Let s be m(-7). Suppose 7*w = s*w - 20000. What is w rounded to the nearest 1000000?
0
Suppose -2*p - 190 = 3*v, -5*p + 3*v + v = 452. Let q be (p - (0 + -3))*395883. Let r = q - -69833587. What is r rounded to the nearest one million?
35000000
Let v = 5.15 - 5.7. Let w = v - -0.458. Let n = w - -0.0842. What is n rounded to three decimal places?
-0.008
Let o = -1546.999635 + 1547. Round o to four decimal places.
0.0004
Let w = -358 - -358.1108. Let h = w + -0.110153. What is h rounded to 4 decimal places?
0.0006
Let f = 7058.3 - 7058.300125308. Round f to five dps.
-0.00013
Let b = -94257.1 - -89668. Round b to the nearest one hundred.
-4600
Let h = 39981.9902 - 39986. What is h rounded to two dps?
-4.01
Let d(m) = -11*m**2 - 27*m - 70. Let i(k) = -2*k**2 - 3*k + 1. Let v(g) = -d(g) - 2*i(g). Let r be v(-11). What is r rounded to the nearest 1000?
2000
Let f(g) = 24975*g**2 - 65*g - 690. Let n be f(-11). Round n to the nearest 1000000.
3000000
Let j be 12/(-6)*19/(76/(-482920)). Round j to the nearest ten thousand.
240000
Let g = 1954113 + -3897213. Round g to the nearest ten thousand.
-1940000
Let p = 460 - 182. Let k = -278.231 + p. Let s = k - -0.2310147. What is s rounded to six dps?
0.000015
Let n = 9843151 + -4085151. Round n to the nearest 1000000.
6000000
Suppose 8*t + 14*t = 10*t - 10832400. Round t to the nearest 100000.
-900000
Let v(h) = -1. Let a(u) = 1642858*u - 4. Let y(c) = 2*c + 6. Let k be y(2). Let p(n) = k*v(n) - a(n). Let d be p(-7). Round d to the nearest one million.
12000000
Let j = 143116.0135151 - 143116. What is j rounded to four dps?
0.0135
Let a be (-825)/1100 - ((356787/12 - 1) + -2). What is a rounded to the nearest 10000?
-30000
Let q = 17 + -19.4. Let s = 1038.65 + -1041. Let z = q - s. What is z rounded to one dp?
-0.1
Let o = 126841.51397 - 126841. What is o rounded to 3 dps?
0.514
Let n = 126 + -171. Let h = -45.000732 - n. What is h rounded to five dps?
-0.00073
Let k(w) = w**2 + 9*w + 12. Let t be k(-8). Suppose -6*v + 20 = -t. Let i be v*(-669)/(-6)*5. What is i rounded to the nearest one hundred?
2200
Let q = -235506 + 254455.3. What is q rounded to the nearest one thousand?
19000
Let y = 436 - 438.23. Let d = 2.23000186 + y. What is d rounded to 7 dps?
0.0000019
Let i be 16810*((-4)/8)/((-7)/322). Round i to the nearest one hundred thousand.
400000
Let f = -0.155954 + 0.12857. What is f rounded to four decimal places?
-0.0274
Let g = -32343 - -32343.0014263. Round g to five decimal places.
0.00143
Let a(y) = 2*y**3 - y**2 - 5*y + 5. Let m be a(2). Suppose 2*p = m - 3. Suppose -i + 5*i + 126 = -3*l, p*i - 4*l = -52. What is i rounded to the nearest 100?
0
Let x be 3/(-8) + (-98061324621)/4744. What is x rounded to the nearest one hundred thousand?
-20700000
Let z = -3.63 - 1.02. Let a = 38.75 + z. Let i = 33.901 - a. Round i to 2 decimal places.
-0.2
Let z(g) = -g**3 - 10*g**2 - 6*g - 22. Let u be z(-10). Suppose 6088316 = -u*v + 2977688316. What is v rounded to the nearest one million?
78000000
Let y = -0.0642504 - -285.7932504. Let p = y + -286. Round p to one decimal place.
-0.3
Let j be (64/(-12))/(71132/23712 - 3). Suppose 3*c + j = -174130. Let p = 23482 + c. Round p to the nearest 10000.
-50000
Let z = -14 - -17. Let p be z - 4*4/(-32)*-2. Suppose w - 1 = 0, -f = -p*w - 3*w + 68. What is f rounded to the nearest ten?
-60
Let j = -2021534 - -3063731. Suppose 14257783 + j = 5*m - 5*o, 5*m - o - 15299996 = 0. Round m to the nearest 100000.
3100000
Let j(x) = -x**3 + 7*x**2 + 16*x + 21. Let n be j(9). Suppose 4*z - 68 = n*c - 14, -13 = c - 3*z. Let d = 60 - c. Round d to the nearest one hundred.
100
Let j(h) be the second derivative of -77*h**4/3 - 3*h**3/2 + 29*h**2/2 + 36*h - 2. Let k be j(4). What is k rounded to the nearest 100?
-4900
Let c = 1.95899 + -0.07259. Round c to the nearest integer.
2
Let r = -148 - -211. Let h = -75 + r. Let t be (h/3)/1 + 10900004. Round t to the nearest 1000000.
11000000
Let j(q) = 3 + 14526*q**2 - q + 4733*q**2 + 9. Suppose -16*b - 2*i = -14*b + 28, -b = 3*i + 24. Let a be j(b). What is a rounded to the nearest 100000?
1600000
Let b = 85 + -83. Let o be b/(-3)*(-187401)/(-2). Let s = o + 41367. What is s rounded to the nearest ten thousand?
-20000
Suppose -78711859 - 4590836 = -7*h. Let t = 8399615 + h. What is t rounded to the nearest one million?
20000000
Let q = 6371 - 6370.9952729. Round q to four decimal places.
0.0047
Let s = 8761.77 - 8618. Let d = 143 - s. Round d to one decimal place.
-0.8
Let x = 1.174333 - -18.829607. Let w = 19.84 - -0.16. Let z = x - w. What is z rounded to 3 dps?
0.004
Let r = 30133 - 15827. Let q = -14306.43265 + r. Let m = 0.44 + q. What is m rounded to 3 dps?
0.007
Let z = 10733.0022285 + -10733. Round z to five decimal places.
0.00223
Let b = -105285 + 37571. Let w be (-12)/8 - (-3)/(12/b). What is w rounded to the nearest 1000?
-17000
Let s(z) = 544*z**2 + 6*z + 61. Let k be s(-5). Let u = -4081 + k. What is u rounded to the nearest one thousand?
10000
Let w be (0 - 0)/6 + -18. Let r be 2/9 + 118620004/w. What is r rounded to the nearest 1000000?
-7000000
Let k = 6024.4 + 150.8. What is k rounded to the nearest ten?
6180
Let u(b) = -17*b - 24. Let m be u(-3). Suppose 0 = -7*v + 43 + m. Suppose v*w = 8*w - 3640000. Round w to the nearest 100000.
-1800000
Suppose -11*u + 136 = -29. Suppose 4*v - u = -3*r - 49, 0 = -v - 5*r - 17. Let i be 5 - v/((-35)/3300025). What is i rounded to the nearest 100000?
-700000
Let o = 116455358 - 7973023. Suppose 0 = 21*c + o + 24447665. What | {
"pile_set_name": "DM Mathematics"
} |
+ 3 wrt m.
18*d**2*m + 76*d**2 - 40*d
What is the third derivative of 4169*t**3 - 1617*t**2 + t?
25014
What is the second derivative of 8*w**3*x**2 + 5*w**3 + 23*x wrt x?
16*w**3
What is the derivative of x**3 - 175*x - 540 wrt x?
3*x**2 - 175
Find the second derivative of 243*u**4 - 640*u + 2.
2916*u**2
What is the third derivative of 278*g*p**3 + 2*g*p**2 - 258*p**2 + 2 wrt p?
1668*g
What is the second derivative of 64*j**5 + j - 2?
1280*j**3
Find the second derivative of j**4 - 1668*j**2 - 23*j - 163 wrt j.
12*j**2 - 3336
What is the third derivative of -3*f**6 + 396*f**3 - 11*f**2 + 5*f + 9?
-360*f**3 + 2376
What is the second derivative of -43*f**2 + 6*f?
-86
What is the first derivative of 646*d**2*s + 521*d**2 wrt s?
646*d**2
What is the third derivative of 11594*w**4 - 237*w**2 + 3*w wrt w?
278256*w
What is the first derivative of j**2*q**2 + 166*j**2 + 24*q**2 + 13*q wrt q?
2*j**2*q + 48*q + 13
Find the second derivative of 39*j**4*m**2 - 2*j**3*m**2 + 5*j*m**2 + 2*j - 23*m**2 wrt j.
468*j**2*m**2 - 12*j*m**2
Find the second derivative of 10372*b**2*n - 88*b*n - 2*b - 3*n wrt b.
20744*n
Differentiate 5*a**2*f*h**2 + 34*a**2*f*h + a**2*h**2 + 135*a**2*h + 2*h**2 with respect to f.
5*a**2*h**2 + 34*a**2*h
Differentiate -2*k**4*w - 44*k**4 - 5*w + 2 wrt k.
-8*k**3*w - 176*k**3
What is the second derivative of 2896*k**5 + k + 4568?
57920*k**3
What is the third derivative of -5702*c**3*o**2 - c**3 - 6*c**2*o**2 - 2*c**2*o - 32*c - 7*o**2 wrt c?
-34212*o**2 - 6
What is the second derivative of 100*h**5 - 2*h**4 - h - 8?
2000*h**3 - 24*h**2
Find the third derivative of -q**3*y**3 - 6*q**3*y**2 + q**3 + 1012*q**2*y**4 - 39*y wrt y.
-6*q**3 + 24288*q**2*y
Find the first derivative of 4090*q - 3002.
4090
Find the third derivative of -98*r**6 - r**3*s**2 + r**3*s + 7*r**2*s**2 + 2*r*s**2 - 6 wrt r.
-11760*r**3 - 6*s**2 + 6*s
Differentiate -4679*d**2 + 2*d - 4260 with respect to d.
-9358*d + 2
Find the second derivative of -65*h**2 - 7*h - 8.
-130
Find the third derivative of -818*w**3 - 14*w**2 + 46.
-4908
What is the third derivative of -d*x**3 + 41*d + 4*x**4 - 76*x**3 - 10*x**2 wrt x?
-6*d + 96*x - 456
What is the third derivative of 201*g**4 + 180*g**2 wrt g?
4824*g
Find the first derivative of 3775*w - 5327.
3775
What is the second derivative of -6*a**4*d**3 - 16*a**4*d**2 + a*d**3 - 4*a*d**2 + 9*a*d wrt a?
-72*a**2*d**3 - 192*a**2*d**2
Find the second derivative of -8*j**3*v**2*y + j**3*y + 49*j**3 + 10*j**2*v**2*y + j*v*y + 7*j*v + v**2 wrt v.
-16*j**3*y + 20*j**2*y + 2
Find the first derivative of -3040*k**3 + 7546.
-9120*k**2
What is the second derivative of -87*i**4*k + 3*i**2*k**2 + i*k**2 - 34*i - 5 wrt i?
-1044*i**2*k + 6*k**2
Find the third derivative of -21*g**6*x*z**2 - 3*g**6*x - 4*g**2*x*z**2 - x + 4*z**2 wrt g.
-2520*g**3*x*z**2 - 360*g**3*x
Find the second derivative of 2*d**5*m - 8*d**3*m**2 + d + 9*m**2 + 8 wrt d.
40*d**3*m - 48*d*m**2
Find the second derivative of -2352*g**4 + 4248*g.
-28224*g**2
Find the second derivative of -2*a**3*j**2 + 302*a**2*j**3 - 6354*a*j**2 + j**3 wrt a.
-12*a*j**2 + 604*j**3
Differentiate -179*b - 172 wrt b.
-179
Find the first derivative of -170*k*n*p + 3*k*p - 29*n*p - 3*p - 54 wrt n.
-170*k*p - 29*p
Differentiate -8788*z**4 - 8041.
-35152*z**3
Find the third derivative of -107*y**3 + 98*y**2 wrt y.
-642
Differentiate -290*m*v - 15*m - 2*v - 1 wrt v.
-290*m - 2
What is the derivative of -2*l**3*r + l**3 - 2134*l**2 - 392*l*r**4 - r**3 - 2 wrt r?
-2*l**3 - 1568*l*r**3 - 3*r**2
What is the third derivative of -470*d**3*l**2 + d**2*l**2 + 2*d*l**2 wrt d?
-2820*l**2
What is the first derivative of 173*m*y - 5811*m + 3*y wrt y?
173*m + 3
Find the third derivative of 6*i**3*z**3 + 5*i**3*z - i**2*z**2 + i*z**4 + 8*i*z**2 - 2*z**4 wrt z.
36*i**3 + 24*i*z - 48*z
What is the first derivative of -m**2*x + m**2 + 500*m*x + 3*m + 265*x wrt m?
-2*m*x + 2*m + 500*x + 3
What is the second derivative of -5*d**5 - 46*d**3 + 4*d + 161 wrt d?
-100*d**3 - 276*d
Find the second derivative of -10*r*s*u**2 - r*u**3 + 8*r + 2*s**2*u**3 + 4*s**2 + 3*u wrt u.
-20*r*s - 6*r*u + 12*s**2*u
What is the third derivative of -2*i**6 - 20*i**4 - 3322*i**2?
-240*i**3 - 480*i
Differentiate -10*k*o*v*z - 3*k*o*v - 2*k*o - 127*k*z - k + 9*o + 3*v wrt z.
-10*k*o*v - 127*k
What is the second derivative of -27*c**5 - 5*c**2 - 263*c?
-540*c**3 - 10
Find the third derivative of 20*k**3*m*w**3 - 9*k**3*m*w + 2*k**2*m*w**2 - 3*k**2*w**3 - 3*k**2 + 4*k*m*w**3 - 2*k*m*w**2 wrt w.
120*k**3*m - 18*k**2 + 24*k*m
What is the third derivative of 120*i**3*s**4 + 1970*i**3*s**2 wrt s?
2880*i**3*s
Find the second derivative of 2110*f**3 + 76*f - 16 wrt f.
12660*f
Find the second derivative of -204*k**2 - 3346*k wrt k.
-408
Find the third derivative of 2563*z**6 + z**2 - 217*z - 1 wrt z.
307560*z**3
Find the third derivative of 3759*t**2*v**3 + 18*t**2*v**2 + 2*t**2*v + 27*v wrt v.
22554*t**2
Differentiate -3*k**2 + 679*k - 802 with respect to k.
-6*k + 679
What is the third derivative of -64*u**3*y**3 + 2*u**3*y**2 - u*y**4 + 13*u*y**3 + 397*u*y**2 wrt y?
-384*u**3 - 24*u*y + 78*u
Find the third derivative of 100*g**3*z**3 - 3*g**3 - 9*g**2*z**3 + 2*g**2 wrt g.
600*z**3 - 18
Find the second derivative of -5624*g**2 + 13420*g.
-11248
What is the derivative of 14*c**2*t**2 - 4*c**2*w - 3*c**2 - 78*t**2*w wrt w?
-4*c**2 - 78*t**2
Find the third derivative of -353*k**3*q - 3*k**2*q + 4*k**2 + 3*q wrt k.
-2118*q
What is the second derivative of -15*c**4 - 11*c**3 - 154*c?
-180*c**2 - 66*c
Find the first derivative of 770*q*u - 4*q + 7132*u wrt q.
770*u - 4
What is the second derivative of 1071*b**3 + b**2*l + 17*b*l - 22*b - 3*l wrt b?
6426*b + 2*l
Differentiate 2*c*d*j*n**2 - 34*c*d*j - 2*c*d*n**2 + 2*c*d*n - 3*c*j*n**2 + 77*d*n**2 wrt j.
2*c*d*n**2 - 34*c*d - 3*c*n**2
Find the second derivative of -c**3*s*x**2 + c**3*s - 5*c**2*x - 3*c*s*x + 2*c*x**2 - 30*s*x**2 wrt x.
-2*c**3*s + 4*c - 60*s
What is the third derivative of -121*w**4 - 12*w**3 + 1138*w**2 - 2*w?
-2904*w - 72
What is the third derivative of -12189*i**3*x**3 - 4*i**3*x - 2*i**3 + 3*i**2*p**2*x**2 + 2*i*p**2*x**3 - 4*p*x**2 wrt x?
-73134*i**3 + 12*i*p**2
What is the second derivative of 183*n**5 + 77*n?
3660*n**3
Find the third derivative of -l**3*t**4 - 3*l**3*t**2 + l**3*t + 21*l**2*t**4 + 13*t**2 wrt t.
-24*l**3*t + 504*l**2*t
Find the second derivative of 17864*u**4 - 2*u + 8203.
214368*u**2
What is the second derivative of -105*b*w**2 + b*w*z**3 - 8*b*w*z + 3*b + 3*w**2*z**3 + 2*w**2*z**2 + w*z**2 wrt w?
-210*b + 6*z**3 + 4*z**2
Find the third derivative of -31*b*k**4*o - 2*b*k**3 + 8*b*k**2*o**2 + 2*k**4*o**2 + 13*k**2*o - 2*k*o**2 - 2 wrt k.
-744*b*k*o - 12*b + 48*k*o**2
What is the third derivative of 2*m**4 - 415*m**3 + 8*m**2 + 152?
48*m - 2490
Differentiate -2626*i - 2334 with respect to i.
-2626
Differentiate -28958*o**4 - 26310.
-115832*o**3
Find the first derivative of 117*g**2*m**2 - g**2*m*o - 2*g*m**2 - 2*m**2 + 9*m*o + 17*o wrt g.
234*g*m**2 - 2*g*m*o - 2*m**2
Find the second derivative of s**5 + 45*s**2 + 2*s - 229 wrt s.
20*s**3 + 90
Find the first derivative of 28*j*r**2 - 11*j*r - 2*j - 12*r**2 + 104 wrt j.
28*r**2 - 11*r - 2
What is the third derivative of -72*h**3*j*o**2 - 7*h**3*j - 2*h**2*j*o - 16*h**2*o**2 + 4*o**2 wrt h?
-432*j*o**2 - 42*j
What is the first derivative of -100*a*i**2 - 4*a - 49 wrt i?
-200*a*i
Find the third derivative of -2509*o**5 - 3*o**4 - 72*o**2 + 54.
-150540*o**2 - 72*o
What is the first derivative of 707*v**2 - 311?
1414*v
Differentiate -20*n**4 - 15*n**3 - 4983 wrt n.
-80*n**3 - 45*n**2
Find the second derivative of -3651*d**3 + 3003*d wrt d.
-21906*d
What is the second derivative of -639*r**3 - 2*r - 147 wrt r?
-3834*r
Find the third derivative of 4*d**6 - 40*d**3 + 6*d**2 - 39*d.
480*d**3 - 240
Find the first derivative of 358*n + 246 wrt n.
358
Find the third derivative of -5016*k**4 + 1062*k**2 - 1 wrt k.
-120384*k
Differentiate -6*c**2 - 2*c*j - j - 5 with respect to c.
-12*c - 2*j
Find the third derivative of -b**2*j**4 - b**2*j**2 + 10*b**2*j - 2533*j**4 - 2*j**2 - 278 wrt j.
-24*b**2*j - 60792*j
What is the first derivative of -108*a*i*r*z - 5*a*i*z + 5*a*r*z**2 - 86*a*z**2 + a*z + i*r wrt r?
-108*a*i*z + 5*a*z**2 + i
Fin | {
"pile_set_name": "DM Mathematics"
} |
)?
1
Let j = -3 + 0. Let c(x) = 5*x + 4. Let d(a) = 5*a + 4. Let s(z) = 5*c(z) - 4*d(z). Determine s(j).
-11
Let r(g) = -3*g**3 - g**2 - g. Suppose -4 + 24 = 5*x. Let f(q) = q**3 - 5*q**2 + 5*q - 2. Let o be f(x). Suppose -k = -0*a + o*a, -a = -4*k + 9. What is r(a)?
3
Let t(k) = k - 8. Let p be t(7). Let i(w) = 6*w**2 - w. Give i(p).
7
Let q(n) = -4*n**2 - 6*n - 2. Let l be q(-2). Let v(f) = f**3 + 6*f**2 + 1. What is v(l)?
1
Let q(u) be the second derivative of -u**5/20 + 7*u**4/12 - 5*u**3/6 - 5*u**2/2 - 6*u. Determine q(6).
1
Suppose -4*k = -3*k + 5. Let i(a) = a**3 + 5*a**2 - a + 1. Calculate i(k).
6
Suppose 5*y + 32 = 42. Let i(k) = -4*k**2 + 4*k - 2. Determine i(y).
-10
Let y(g) = -18*g**3 + 2*g**2 - 5*g + 4*g - 38 + 38. Calculate y(1).
-17
Let u(j) be the second derivative of -j**5/2 + j**3/6 + j. Let o be (-2)/3*6/4. Let y be (1/(1/1))/o. Determine u(y).
9
Let h be (-2)/6 + 41/(-3). Let i be 2 + (-2)/((-4)/h). Let n(s) be the second derivative of -s**5/20 - s**4/3 + 5*s**3/6 - 7*s**2/2 - 2*s. Determine n(i).
-7
Let n(j) = j**2 + 4*j - 6. Let x = 26 - 20. Let h be x*4/(16/(-4)). Determine n(h).
6
Let s(z) = -2*z**2 - 4*z + 3. Let u be -2*5/3*6/4. Determine s(u).
-27
Let k = -65 + 61. Let w(s) = 3*s**2 + 7*s + 4. What is w(k)?
24
Let f(w) be the second derivative of w**4/12 + w**3/6 - 2*w**2 + 34*w + 2. Let b = 0 - -3. Determine f(b).
8
Let s(g) = g**3 - 14*g**2 + 22*g + 17. Let p be s(12). Let n(i) = -i**2 - 6*i + 1. Calculate n(p).
-6
Let l = -13 - -17. Let w(o) = o**2 - 3*o - 2. What is w(l)?
2
Let u(w) = -1. Let v(m) = -m**3 - 4*m**2 + m + 6. Let r(j) = -2*u(j) - v(j). Suppose 5*z - 20 = 5*s, -4*s - 5*z - 16 = -0*z. Determine r(s).
0
Let k(j) = j**3 + j. Let i(y) = -3*y**3 + y**2 - 2*y - 1. Let u(b) = 2*i(b) + 5*k(b). Determine u(2).
0
Let n(y) be the first derivative of 2*y**2 - 2*y - 31. What is n(2)?
6
Let n(q) be the first derivative of q**3/3 - q**2/2 - 2*q - 1. Suppose 5*m - 7 = -22. What is n(m)?
10
Let z be (-6)/9 + (-4 - 33/(-9)). Let x(p) = -22*p**2 - 2*p - 1. What is x(z)?
-21
Let g be -1 + (0 - (2 - -1)). Let c(v) = -v**2 - 3*v - 2. What is c(g)?
-6
Let s(z) = 8*z + 3*z + 4*z**3 + 0*z + 12*z**2 - 9 - 9. Let a(n) = 3*n**3 + 8*n**2 + 7*n - 12. Let c be (1/3)/(4/60). Let x(k) = c*s(k) - 7*a(k). What is x(5)?
-1
Let i = 2 - 0. Suppose 4 = -i*q + 2. Let z(o) = 2*o**3 + o**2 - 1. Determine z(q).
-2
Suppose x + 18 = -2*x. Let n(h) = h**2 + 8*h + 2. Calculate n(x).
-10
Let b = 56 - 86. Let v be 45/b*4/(-3). Let t(k) = 2*k**3 - 4*k**2 + k + 2. Determine t(v).
4
Let l(k) be the second derivative of -k**5/20 - k**3/6 + k**2 - k. Suppose y + 0*z - 10 = 4*z, -3*z - 6 = 0. Determine l(y).
-8
Let u(z) = -z + 1. Suppose 41 = -4*n + 57. Give u(n).
-3
Let k(b) = 6*b - 7. Let y(w) = -32*w + 35. Let i(z) = -11*k(z) - 2*y(z). Give i(-8).
23
Let h be ((-2)/3)/((-2)/3). Let b = 28 + -15. Let m(q) = 3*q - 19*q**2 + b*q**2 - 3*q. Determine m(h).
-6
Let r(f) = f**3 - 7*f**2 + 7*f - 5. Let v be (-5 + -3)*(-6)/(-4). Let u = -6 - v. Calculate r(u).
1
Let k(x) = x**2 + 2*x**3 + 3 - 5*x**3 + 2*x**3. Let z be k(0). Suppose z*n = 4*n. Let r(m) = m + 3. Determine r(n).
3
Suppose -b + 2 = -z - 4, -z = b - 6. Suppose -2*q - 4*c + 48 = -b*q, 0 = -3*q + 2*c - 33. Let f = -4 - q. Let x(i) = i**3 - 6*i**2 + 4*i - 1. Calculate x(f).
-6
Let u(p) = -9*p + 9 + 7*p + 3*p. Calculate u(-8).
1
Suppose -1 = -z + 4*v, -5*z + 5 = 3*v - v. Suppose -3*f - 4 = -4*t + z, -3*f - 3*t + 9 = 0. Let u(h) = 9*h**2 + h - 1. What is u(f)?
9
Let y(a) be the second derivative of a**8/6720 - a**7/2520 - a**6/720 - a**5/20 + a**4/3 - 2*a. Let v(q) be the third derivative of y(q). Give v(0).
-6
Suppose -3*t + 3 + 3 = 0. Let f(y) = -y + 0*y**3 + 0*y**3 - 1 + 7*y**t - 4*y**2 - y**3. Let l be 2 - (-1)/1*1. What is f(l)?
-4
Suppose 2*m + 3*m - 5 = 0. Let s(n) = n**3 - n**2 - n - 1. Let a(d) = 3*d**2 + 3*d + 2. Let p(i) = m*a(i) + s(i). Determine p(-1).
0
Let w(l) = -l**2 + 7*l + 11. Let g be w(9). Let n(p) = p**3 + 8*p**2 + 7*p + 5. Let v be n(g). Let j(h) = -h + 10. Calculate j(v).
5
Let i(d) = -d - 5. Let o be i(-8). Suppose 8 = o*y + 2. Let s(a) = a**3 - 5*a**3 + 3*a**y + 3*a + 3*a**3 - 3. Determine s(3).
6
Let q = -9 - -14. Let t(h) = h**2 - q + 9*h**2 + 5*h + 5*h**2 + h**3 - 8*h**2. What is t(-6)?
1
Let x(z) = -9*z**3 + 3*z**2 + z. Let m(k) = 4*k**3 - 2*k**2. Let l(d) = -7*m(d) - 3*x(d). What is l(4)?
4
Let z(u) = 3. Let n(w) = w + 4. Let x = -9 - -6. Let j(k) = x*z(k) + 2*n(k). Determine j(2).
3
Let i(j) = j**2 - 3*j + 2. Let u be i(4). Let f(d) = -d**3 + 7*d**2 - 9*d + 9. Calculate f(u).
-9
Let s(n) = -n**2 - 4*n - 3. Let h be s(-2). Let j(g) = -2*g**2 + g. Let i be j(h). Let d(c) = 5*c**2 + c. Calculate d(i).
4
Let y(f) = -5*f**2 - 4*f - 6. Let s(t) = -3*t**2 - 3*t - 4. Let b(v) = 8*s(v) - 5*y(v). Give b(4).
-2
Let a(x) = 2*x**3 + 2*x**2 - 2*x + 1. Suppose 5*b - 5*y = -20, 3*b + 5*y = 4*y + 8. What is a(b)?
3
Let k(t) = -t**3 + t - 3. Suppose 7*j = 5*j. Give k(j).
-3
Let d(r) = 4*r. Let h(y) = y**2 + 6*y - 6. Suppose 7 = -n - 0*n. Let i be h(n). Give d(i).
4
Let y(g) = -g**2 - g + 2. Suppose -4*r = 4*p + 32, 0*p = -2*r - 4*p - 14. Let u = 6 + r. Calculate y(u).
-4
Let t(f) = 4*f. Suppose -10 = 4*x + x. Let m be (3/1)/((-3)/x). Determine t(m).
8
Let g(k) = 20*k - 11. Let y(j) = -10*j + 5. Let m(q) = -6*g(q) - 13*y(q). Let f = -3 + -1. Let t = f + 3. Give m(t).
-9
Let m be (4 - -2)*-2 + 2. Let k = m - -6. Let v(x) = -2*x - 6. Determine v(k).
2
Let t(i) = 28*i - 44*i + 17*i. Let n(w) = -w + 6. Let f be n(5). Give t(f).
1
Let f(m) = m - 6. Let u be f(-9). Let z = 9 + u. Let h(i) = -i**2 - 5*i + 4. Calculate h(z).
-2
Let t = -16 - -13. Let i be -3 - t/(12/28). Let n(l) = l**2 - 2*l - 3. What is n(i)?
5
Suppose 4*u - 7 - 5 = 0. Let g(m) = 4*m - 3 + 0*m - u*m - 2. Determine g(6).
1
Let t(q) = 2*q**3 - q**2 + 9*q + 8. Let l(u) = -u**3 + 2*u**2 - 8*u - 7. Let b(v) = -3*l(v) - 2*t(v). What is b(-5)?
0
Let f(s) = -5*s - 1. Let c(h) = -h**2 - 9*h - 16. Let y be c(-7). Give f(y).
9
Let i(j) = -j**3 + 3*j**2 + 0*j - 4 - 9*j - 8*j**2 + 3*j. Determine i(-4).
4
Let w(z) = 1 + 0 + 6 + 4*z - 6 - z**2. Suppose 4*x - 1 = 3*s, x - 3*s + 3 = -8. Determine w(x).
1
Let v(b) be the first derivative of -2*b**3/3 - 7*b**2/2 - 4*b + 18. What is v(-4)?
-8
Suppose 8*d - 4*d + p + 21 = 0, -5*d = 2*p + 24. Let g(k) = k**3 + 6*k**2 + 6. Give g(d).
6
Let i(v) = -v**2 - 11*v + 5. Let w be i(-11). Let b(u) = 2*u + 2*u - 5*u + w*u. Let q = 5 - 3. Give b(q).
8
Let b(r) = r**3 + 4*r**2 - 4*r + 4. Let i(w) = 2*w - 6. Let y be i(7). Suppose 4*q = 4*m + 12, -y*m + 4*m = 2*q + 24. Determine b(m).
-1
Let q = 2 + 0. Let x(r) = r**q - r - 5*r**2 + 6 + 5*r**2. Suppose 5*h = h. What is x(h)?
6
Suppose 8*n - 4*n + a = -4, n + 1 = -4*a. Let l(v) = -6*v + 1 - 8*v + v. Determine l(n).
14
Suppose -4*w - 4 = -3*w. Let a(i) = -i**2 - 6*i + 5. Let v(l) = l**2 + 5*l - 5. Let g(h) = 2*a(h) + 3*v(h). Give g(w).
-1
Let k(t) = t**3 - 5*t**2 + 2*t. Let b(f) = -3*f + 22. Let h be b(6). What is k(h)?
-8
Let q(y) = y**2 - y. Suppose -2*b = b. Calculate q(b).
0
Let u(l) = -l - 3. Let c be u(-4). Let s(j) = -6*j**2 + j + 1. Let d be s(c). Let p(x) = -3*x**2 + 3 - 7 + 2*x**2 - 4*x. Give p(d).
-4
Let p(n) be the first derivative of n**3/3 - n**2 - 2*n - 5. Determine p(5).
13
Let c be 4/(-8) + 1/2. Let j(w) = 8*w - w + c - 3*w**2 - w**3 + 3 - 3*w. Calculate j(-3).
-9
Let o = -55 + 49. Let l(x) = x**3 + 6*x**2 + 8. Determine l(o).
8
Let l(r) = r**3 + 7*r**2 + 6*r - 8. Let b = -15 - -9. Give l(b).
-8
Let u = -2 + -3. Let f(r) = 5*r**2 - 3*r - 2. Let t be f(u). Let k be t/(-42) + (-4)/(-14). Let m(w) = w**2 + 2*w - 4. What is m(k)?
-1
Let s(g) = 4*g**2 + 11*g - 5. Let x(z) = -z**2 - 3*z + 1. Let v(p) = 2*s(p) + 9*x(p). Determine v(-4).
3
Let r(b) = 4*b + 4. Suppose -3*k = -5*k + 20. Let w be -3 + (-5)/(k/(-8)). Let p = w - 5. What is r(p)?
-12
Let p(q) = -q**3 - 2*q**2 - 4*q - 2. Let k(x) = x**3 + 3*x**2 + 4*x + 2. Let i(l) = 3*k(l) + 2*p(l). Determine i(-4).
2
Let d(p) be the third derivative of -11*p**5/60 + 32*p**2. Calculate d(1).
-11
Let w(c) = c. Let q(n) = -n**3 + 5*n**2 - 9*n - 1. Let u(i) = -i**3 + i**2 + 5*i - 3. Let m be u(3). Let t(l) = m*w(l) - q(l). Determine t(4).
-3
Let b(k) be the first derivative of -3 + 1/3*k**3 + 5*k + 0*k**2. What | {
"pile_set_name": "DM Mathematics"
} |
- 3 wrt v.
-159024
Find the third derivative of 2*d**2*m**3 + 3*d**2*m**2 + 2*d**2*m - d*m**2 - 50*d + 204*m**5 + 268*m**3 + 4*m wrt m.
12*d**2 + 12240*m**2 + 1608
What is the derivative of -130417*j - 121164?
-130417
What is the second derivative of 2772*u*x**3 + 118*u*x + 689*u - 38*x**3 - 2*x wrt x?
16632*u*x - 228*x
What is the second derivative of 243535*q**5 + 353549*q wrt q?
4870700*q**3
Find the third derivative of -23*p**5 + 19699*p**3 - 2247883*p**2 wrt p.
-1380*p**2 + 118194
What is the second derivative of -2*a*i**2*t - 6*a*i**2 - a*i - a*t + 107*i**2*t + 10*i**2 + 247*i*t + 302*t wrt i?
-4*a*t - 12*a + 214*t + 20
Find the third derivative of 28772*g**6 - 74*g**2 + g - 3.
3452640*g**3
Find the second derivative of 17*a*g**2*x + 2*a*g**2 + a*x + 529*g**2*x + 3651*g*x + g wrt g.
34*a*x + 4*a + 1058*x
What is the second derivative of -98*c**5 + 2939*c**4 - c**2 + 1128521*c wrt c?
-1960*c**3 + 35268*c**2 - 2
Find the second derivative of -1225016*v**3 + 2938040*v.
-7350096*v
Find the second derivative of -71*l**3*y**2 - l**3*y + 6*l**3 - 47*l**2*y - l**2 + 11614*l*y**3 + 56*y wrt y.
-142*l**3 + 69684*l*y
What is the derivative of -1671*h*o - 61826*h - 28*o wrt o?
-1671*h - 28
Find the third derivative of 38418*g*x**5 - 15*g*x**3 + 2*g*x + 45*g - 157*x**2 wrt x.
2305080*g*x**2 - 90*g
What is the third derivative of 2173791*j**4 - 3353239*j**2?
52170984*j
Find the third derivative of -11*f*j*z**3 - 237*f*j*z - f*j + 26*f*z**3 - 3*f - 6*j*z**3 + j*z**2 - 2*z**3 wrt z.
-66*f*j + 156*f - 36*j - 12
What is the third derivative of -2128026*s**5 + 2*s**2 - 2*s - 137278?
-127681560*s**2
Find the third derivative of -202*i**6 + 222*i**3 + 610*i**2 + 374.
-24240*i**3 + 1332
What is the second derivative of -i**4 - 49*i**3 - 463*i**2 + i + 38136?
-12*i**2 - 294*i - 926
What is the second derivative of -43147*b**2*g**4 + 4*b**2 - b*g**2 + 7*b*g - 1254*b wrt g?
-517764*b**2*g**2 - 2*b
What is the derivative of 10*m**2*p**3 - 342*m**2 + 6*m*p**3 + 2*p**3 - 16*p**2 - 392*p - 2 wrt m?
20*m*p**3 - 684*m + 6*p**3
Differentiate 36737*y**2 - 12239 with respect to y.
73474*y
Find the first derivative of -161*o**2 + 8*o - 4450 wrt o.
-322*o + 8
Find the first derivative of -309124*a*s**2 + a - 685*s**2 - 377 wrt a.
-309124*s**2 + 1
What is the third derivative of 2004447*j**3 - 3505819*j**2?
12026682
Differentiate -3964*n*u**3 + 3*n*u + 4*n + 69869*u**3 - 3*u**2 with respect to n.
-3964*u**3 + 3*u + 4
Find the second derivative of 5*g**3*k - 6726*g**2*k + 9*g*k + 4*g + 14*k - 12 wrt g.
30*g*k - 13452*k
Find the third derivative of 441*r**6 - 25*r**4 - 3241*r**2 wrt r.
52920*r**3 - 600*r
Find the second derivative of 42967*l**3 + 19358*l + 6.
257802*l
Differentiate 1820*g**2 - 35*g + 456334.
3640*g - 35
Find the second derivative of -m**3*q**2 - m**3*q + 13060*m**3 + 2*m*q**2 - 10932*q**2 - 3*q wrt q.
-2*m**3 + 4*m - 21864
What is the third derivative of 674*n*r*w**3 - 7*n*r*w**2 + n*r + 22*n*w**3 - 2*r*w**3 - 366*r*w**2 + 2*w**3 wrt w?
4044*n*r + 132*n - 12*r + 12
What is the third derivative of -2*i**2*p + 75*i**2*q**3 + i**2*q**2 - 9*i*p*q**3 + 311*i*p*q + i*q**3 - 14*i*q**2 - 2*p*q wrt q?
450*i**2 - 54*i*p + 6*i
What is the second derivative of -a**3 - 29553*a**2 + 1187*a + 12 wrt a?
-6*a - 59106
What is the derivative of 8834*d**2 + 2*d + 27148 wrt d?
17668*d + 2
Find the first derivative of -2*i**2*v + i**2*y**2 - 5070*i**2*y + i*v*y**2 - 15*i*y**2 + 1843*v**2 + 2*v wrt v.
-2*i**2 + i*y**2 + 3686*v + 2
What is the derivative of -495*k**3*p**2*q**3 + k**3*q**3 + 41*k**3*q**2*y - 4*k**2*q**3*y - 7*k + 21*p**2*q**2*y - 2*q**2*y wrt p?
-990*k**3*p*q**3 + 42*p*q**2*y
What is the third derivative of -1821*l**3*o**4 + 2*l**3*o**2 - l**3*o - 36*l**2*o**4 + 66*l**2*o**2 - 74*l**2*o wrt o?
-43704*l**3*o - 864*l**2*o
What is the derivative of 3442506*k**2*o**2*u - 2*k**2*o*u + 7138*o**2*u - 203*o*u wrt k?
6885012*k*o**2*u - 4*k*o*u
Find the third derivative of 1643*i**3 + 16*i**2 + 3*i + 289.
9858
What is the second derivative of -39171*o**3 + 33710*o?
-235026*o
What is the derivative of 15724*l**4*t**2 + 2*l**2*t**2 + 40134*t**2 wrt l?
62896*l**3*t**2 + 4*l*t**2
What is the derivative of 18696*h**4 + 1604 wrt h?
74784*h**3
Find the second derivative of -156*h**3*w**3 - 259*h**3 - 15*h**2*w - 22*w**4 wrt w.
-936*h**3*w - 264*w**2
Find the third derivative of -418*j**6 - 101*j**3 - 138029*j**2.
-50160*j**3 - 606
Differentiate 11525*l + 32038.
11525
Differentiate 285*a*i**2 - a*i - 224*a - 5*i**2 - 207*i + 79 wrt a.
285*i**2 - i - 224
What is the first derivative of 2498077*h*w + 2350*h - 172 wrt w?
2498077*h
Find the second derivative of -159335*l**4 - 6*l**2 + 371535*l + 4.
-1912020*l**2 - 12
What is the second derivative of 361*m**3 + m**2*z**2 + 40*m**2*z + m*z - 2*m - 1156*z**2 - z - 1 wrt m?
2166*m + 2*z**2 + 80*z
Find the third derivative of 415*f*p**3*y*z - 2*f*p**2*y*z - 4*f*p**2*z + 196*f*p*y*z - 8*p**3*y + 3*p**3 + p*y wrt p.
2490*f*y*z - 48*y + 18
What is the derivative of 2*j**4*o - 13560*j**2*o - 10*o - 4671 wrt j?
8*j**3*o - 27120*j*o
Find the second derivative of -519806*r**3 + 1097969*r wrt r.
-3118836*r
What is the third derivative of -2*s**6 - 15114*s**4 + 492108*s**2?
-240*s**3 - 362736*s
Find the third derivative of 11625*d**6 - 1364*d**2 - 10.
1395000*d**3
Find the second derivative of -8749*k*o**3 + 2*k*o**2 + 40*k*o - 65*k - 2*o**3 - o wrt o.
-52494*k*o + 4*k - 12*o
What is the second derivative of 638498*m**2 - 25426*m - 2?
1276996
Find the third derivative of 189*j**4*u + 23*j**3*u**3 - j**3*u + 61*j**2*u**3 + 7*u**3 wrt j.
4536*j*u + 138*u**3 - 6*u
What is the second derivative of b*t**2 - b*t + 9*b - 26776*t**4 - 24*t + 24 wrt t?
2*b - 321312*t**2
What is the third derivative of -351551*k**3*p + 2*k**3 - 69770*k**2*p - p wrt k?
-2109306*p + 12
Find the third derivative of 4*c**6*i + 188*c**4*i - 34*c**3 + 370*c**2 + 37*c - 2*i wrt c.
480*c**3*i + 4512*c*i - 204
Find the third derivative of 333951*q**5 - 4*q**2 + q + 1853 wrt q.
20037060*q**2
Find the second derivative of -332308*r**2 - 41884*r wrt r.
-664616
What is the second derivative of -70857*i**2 - 1650037*i?
-141714
What is the third derivative of -3*h**3*y + 36066*h**3 + 543*h**2*y - 142*y wrt h?
-18*y + 216396
What is the first derivative of -34*a*g**2*l + 432*a*g*l + a*l + 1769*g**2*l - 2*g*l + 21*l wrt a?
-34*g**2*l + 432*g*l + l
Find the third derivative of a**6 - 290*a**4 + a**3 - 246*a**2 + 39*a wrt a.
120*a**3 - 6960*a + 6
Find the second derivative of 1790*u**2 - 48605*u.
3580
Find the third derivative of -24*s*w**4 + 10*s*w**2 - 21337*w**3 - 32*w**2 + 156 wrt w.
-576*s*w - 128022
Find the first derivative of -37560*g + 50480 wrt g.
-37560
Find the third derivative of -76237*l*z**3 - 13637*l*z**2 + 3*l + z wrt z.
-457422*l
What is the third derivative of -33524*n**4 + 2*n**2 + 1258*n - 1?
-804576*n
What is the third derivative of 94*v**4 + 1025*v**2 - 2*v + 41?
2256*v
What is the third derivative of -45616*m**5 - 76*m**2 + 2*m?
-2736960*m**2
Find the third derivative of -47*w**6 + 2309*w**4 - 36057*w**2.
-5640*w**3 + 55416*w
What is the first derivative of -45856*l - 38101?
-45856
What is the third derivative of 562478*c**3 - 8537*c**2 wrt c?
3374868
Find the second derivative of -a**2*n**3 + 13270*a**2*n**2 - 208*a*n**3 + 305*a*n**2 wrt a.
-2*n**3 + 26540*n**2
Find the third derivative of 1013*p**6 + 2*p**3*w + 2*p**3 + 158*p**2*w - 79 wrt p.
121560*p**3 + 12*w + 12
What is the third derivative of -58244*f**5 - 5*f**4 - 10862*f**2 + 2*f + 15 wrt f?
-3494640*f**2 - 120*f
Differentiate 5*l**4 + 861*l - 11896.
20*l**3 + 861
What is the first derivative of 208482*b**3 - 138392?
625446*b**2
What is the third derivative of 13*c**4*w - 1012*c**4 - 2*c**2 + 1051785*w wrt c?
312*c*w - 24288*c
What is the third derivative of j**4*u - j**4 + 2098*j**3*u + 180*j**3 - j**2*u - 4*j**2 - 107*j*u + 3*u - 6 wrt j?
24*j*u - 24*j + 12588*u + 1080
What is the first derivative of -2566380*j**2 + 1863222 wrt j?
-5132760*j
What is the third derivative of 30852*m*s**6 + 7*m*s**5 + 156*m*s**2 - 4*m*s - 1 wrt s?
3702240*m*s**3 + 420*m*s**2
What is the second derivative of 74991*u**2 - 265766*u wrt u?
149982
Find the third derivative of -o**3*x - 326118*o**3 - 4*o**2 - 97*o*x - x wrt o.
-6*x | {
"pile_set_name": "DM Mathematics"
} |
-40. Suppose 0 = -3*t + 2*a + 20, 0*t - 2*t + y*a = -24. What is the second derivative of -14*z**5 + 0*z - 14*z - 4 + t wrt z?
-280*z**3
Let k(v) be the first derivative of -v**6/2 - v**4/2 - 281*v**2 + 436. What is the second derivative of k(d) wrt d?
-60*d**3 - 12*d
Let r(x) be the third derivative of x**6/15 + 59*x**5/12 + 31*x**4/24 + 4*x**3/3 + 4215*x**2. What is the second derivative of r(s) wrt s?
48*s + 590
Let y(p) be the second derivative of 0*p**2 + 41/6*p**3 - 3 + 13*p - 7/6*p**4. What is the second derivative of y(d) wrt d?
-28
Suppose 2*m - 25 = m - 5*u, -4*m + 4*u = 20. Suppose 20 = -m*f + 4*f, 4*f = -3*s + 32. What is the second derivative of -a + s*a + 12*a + 6*a**4 wrt a?
72*a**2
Let f(v) be the first derivative of 0*v - 161 - 2/3*v**3 + 77/2*v**2 + 59/4*v**4. Find the second derivative of f(g) wrt g.
354*g - 4
Suppose 22*z = 21*z + 5. Let i = z - 2. What is the third derivative of -12*n**i + 29*n**2 - 64*n**2 + 22*n**2 wrt n?
-72
Let y(z) be the third derivative of 1009*z**6/20 + 2069*z**4/8 + 3*z**2 - 383*z. Find the second derivative of y(w) wrt w.
36324*w
What is the second derivative of -1447*i**2 + 1583*i - 1009*i**2 + 2360*i**3 + 2456*i**2 wrt i?
14160*i
Let g be (2/3)/(4/18). Let y(x) = 2*x**2 - 5*x - 1. Let t be y(g). Differentiate 9 - 4*b**t + 12 - 8 - 2*b**2 wrt b.
-12*b
Let w = 2130 + -628. What is the derivative of 154*l**2 + 780 + 779 - w wrt l?
308*l
Let d(g) be the first derivative of -247*g**6/6 + 2*g**3/3 - 617*g**2 - 1789. What is the second derivative of d(y) wrt y?
-4940*y**3 + 4
Let x(y) = -3*y**4 + 12*y**3 - 6*y**2 - 827. Let f(g) = -2*g**3 + 1. Let q(h) = 6*f(h) + x(h). Differentiate q(r) with respect to r.
-12*r**3 - 12*r
Let x(k) = 3378*k**2 + 81*k - 9. Let t(g) = -3*g**2 - g + 1. Let o(r) = -4*t(r) - x(r). Find the second derivative of o(u) wrt u.
-6732
Let d(v) = -2703*v**3 - 420*v**2 + 10. Let b(c) = -5403*c**3 - 839*c**2 + 17. Let s(r) = 3*b(r) - 5*d(r). Find the third derivative of s(g) wrt g.
-16164
Find the second derivative of 1642*c + 641*c - 876*c**3 - 383*c**3 wrt c.
-7554*c
Let x be 1/(-2)*-1*-2*30. Let k = 37 + x. What is the second derivative of 0*z + 13*z + 46*z**4 + k*z wrt z?
552*z**2
Let z be 1*1/(2 - 1). Let m be 0 + ((-30)/(-5) - z). Find the second derivative of -11*g**4 - 46*g - m*g**4 + 0*g**4 + 15*g wrt g.
-192*g**2
Let u(y) = 2*y + 2*y - 32*y**2 + 13*y**2 - 38 - y**3 + 14*y. Let k be u(-20). Find the second derivative of -n + 582*n**2 - 15*n**5 - 582*n**k wrt n.
-300*n**3
What is the derivative of 286*i - 1159*i + 276*i - 7*i**2 + 263*i + 270*i - 605 wrt i?
-14*i - 64
Find the third derivative of 6*c - 96*c**3 - 3655*c**2 + 1822*c**2 + 28*c**5 + 1823*c**2 - 7 wrt c.
1680*c**2 - 576
Let q(z) = 904*z**3 - 6*z**2 - 348*z - 2. Let o(x) = -905*x**3 + 9*x**2 + 345*x + 3. Let t(c) = -2*o(c) - 3*q(c). Find the second derivative of t(k) wrt k.
-5412*k
Let i(a) be the second derivative of -221/12*a**4 - 13*a - 1/10*a**5 + 3 + 0*a**2 + 0*a**3 - 1/10*a**6. Find the third derivative of i(r) wrt r.
-72*r - 12
Let a = -47 - -53. Let v(q) = q - 3. Let u be v(a). Find the first derivative of -4 + 28 - 7 + 3*s + u wrt s.
3
Let y(d) = -1 - 2*d - 4 - 2*d + 3*d. Let m be y(-10). What is the third derivative of 6*c**2 + 5*c**m - 3*c**2 - 31*c**5 wrt c?
-1560*c**2
Let f = -92 + 96. What is the second derivative of -1623*b**3 + 44*b + 157*b**f - 35*b**4 + 1623*b**3 wrt b?
1464*b**2
Let j(h) = 119459*h**2 + 258808*h - 595. Let r(i) = 3982*i**2 + 8627*i - 20. Let a(o) = 4*j(o) - 119*r(o). What is the second derivative of a(v) wrt v?
7956
Suppose -279*o = -276*o + 6. Let z(l) = -2*l**3 - 3*l + 2. Let x be z(o). What is the derivative of -x + 10004*v - 10004*v - 2*v**2 + 4*v**4 wrt v?
16*v**3 - 4*v
Let j(f) be the second derivative of 22*f**3 + 9 - 44*f**2 - 13*f - 10 + 17*f**3 + 0*f + 5. Differentiate j(r) wrt r.
234
What is the third derivative of -181303*w + 9*w**4 - 26*w**3 - 102*w**3 + 181303*w + 105*w**2 wrt w?
216*w - 768
Let f(u) = -8*u**4 - 105*u**2 + 5*u - 6913. Let j(q) = 15*q**4 + 208*q**2 - 9*q + 13829. Let b(v) = -9*f(v) - 5*j(v). Differentiate b(n) wrt n.
-12*n**3 - 190*n
Let k(c) be the first derivative of -c**7/7 + 2007*c**4/4 + 2*c**3/3 - 33*c**2/2 + 5*c - 3736. What is the third derivative of k(i) wrt i?
-120*i**3 + 12042
Let s(i) = 483*i**4 - 7*i**3 + 17*i - 8723. Let z(p) = 241*p**4 - 4*p**3 + 10*p - 4361. Let c(m) = -4*s(m) + 7*z(m). What is the derivative of c(y) wrt y?
-980*y**3 + 2
Suppose 2*l - 21 = -13. What is the derivative of -102 - 13*x**4 + 3*x**l + 78 wrt x?
-40*x**3
Let l(y) be the third derivative of 137*y**6/40 - y**4/3 - 866*y**3 + 2*y**2 - y - 409. What is the derivative of l(w) wrt w?
1233*w**2 - 8
Suppose -5*s + 4 = -6. Find the third derivative of 6 - s - 4 + 59*t**2 + 27*t**3 wrt t.
162
Let k(i) be the first derivative of -12985*i**4/4 + 3303*i**2 - 295. What is the second derivative of k(s) wrt s?
-77910*s
Let k(z) be the first derivative of -1489*z**3/3 + 732*z + 1536. Differentiate k(h) with respect to h.
-2978*h
Let l(t) be the third derivative of -158*t**6/5 + 1137*t**3/2 - 59*t**2 - 3*t. Differentiate l(h) with respect to h.
-11376*h**2
Suppose -19*l = -3*l - 48. What is the third derivative of -27*d - 16*d**l + 15*d**2 + 27*d - 44*d**2 wrt d?
-96
Let s(i) be the first derivative of 7097*i**4/4 + 4757*i - 5848. Find the first derivative of s(r) wrt r.
21291*r**2
Let c(y) be the third derivative of 167*y**6/40 - 137*y**4/4 + 877*y**2. Find the second derivative of c(l) wrt l.
3006*l
Let w(v) = -133*v - 153. Suppose -4*u + 24 = -4*p, 4*p + 14 = -5*u + 35. Let f(a) = -2*a + 1. Let k(x) = p*w(x) - 2*f(x). Differentiate k(z) with respect to z.
137
Let n(r) be the second derivative of 3*r - 11/6*r**3 + 0*r**6 + 3 + 1/42*r**7 - 7/10*r**5 + 0*r**2 + 0*r**4. What is the second derivative of n(d) wrt d?
20*d**3 - 84*d
What is the third derivative of 1032803*j**2 + 2*j**3 - 2*j**3 - 1522*j**5 - 1033286*j**2 wrt j?
-91320*j**2
Let d(f) be the first derivative of -f**4/2 + 31*f**3/3 + 2068*f - 2467. Differentiate d(t) wrt t.
-6*t**2 + 62*t
Let o(b) be the second derivative of -55/12*b**4 + 1 + 113*b + 0*b**5 + 0*b**2 - 16/3*b**3 + 1/21*b**7 + 0*b**6. What is the second derivative of o(m) wrt m?
40*m**3 - 110
Suppose 0 = -5*w + 436 - 16. Suppose -4*v + w = -116. Find the first derivative of 44 + 1698*y - 1698*y + v*y**2 wrt y.
100*y
What is the third derivative of 5296*k**2 - 685*k**2 + 14*k**4 + 915*k**2 + 6*k**3 - 71*k**4 wrt k?
-1368*k + 36
What is the third derivative of w**2 - 1144*w**3 - w**4 - 1591*w**3 + 315*w - 1369*w**3 wrt w?
-24*w - 24624
Find the first derivative of 8893 - 22494*q**2 + 52*q + 45135*q**2 - 22561*q**2 wrt q.
160*q + 52
Let v = -525 - -532. What is the derivative of -3*a**3 - a**3 + 100 + 8*a**3 + 31*a**3 + v*a**3 wrt a?
126*a**2
Let f(y) be the second derivative of 0*y**2 + 0*y**6 + 0*y**3 + 2*y + 1/3*y**4 + 4 + 2/7*y**7 + 0*y**5. Find the third derivative of f(n) wrt n.
720*n**2
Let x(d) = -22050*d**2 + 14913*d + 8. Let o(s) = -7350*s**2 + 4974*s + 3. Let j(q) = -8*o(q) + 3*x(q). What is the second derivative of j(c) wrt c?
-14700
Let o be (-46)/(-414) - 53/(-9). What is the third derivative of -g**2 + 7 - 4*g**o + 3*g**2 - g**6 - 15*g**3 + 4*g**2 + 0 wrt g?
-600*g**3 - 90
Let j(h) be the third derivative of 231*h**6/10 - 3*h**4/8 + 29*h**3/6 - 3991*h**2. What is the second derivative of j(u) wrt u?
16632*u
Find the third derivative of 9103 - 1784*k**2 - 9103 + 868*k**3 wrt k.
5208
Let q(a) = 11*a**2 + 5*a - 1. Let h be q(-1). What is the third derivative of -19*g - 66*g**6 - h*g**2 + g**2 + 6*g**2 wrt g?
-7920*g**3
Suppose -5*x - 4*a - a + 30 = 0, 2*x = -4*a + 20. Differentiate -45*m**2 + 191 + 109*m**x + 161*m**2 + 26*m**2 with respect to m.
502*m
Let h(n) be the second derivative of 5686*n**3/3 + 4941*n**2 - 3068*n. Differentiate h(p) with respect to p.
11372
Let t be (-4 + (-54)/(-12))*6. Find the first derivative of 1406*z**2 - 39*z + 27 + 4*z**3 - 1406*z**2 - 5*z**t - 160 wrt z.
-3*z**2 - 39
Suppose -s - 5 = 2*o + o, 5*s - 9 = 2*o. Let y be (-16)/8 - 16/o. Find the third derivative of -41*u**4 - y*u**2 - 7*u**2 + 38*u**4 wrt u.
-72*u
Let p(c) = -7940*c**2 + 5*c - 52. Let u(r) = 7944*r**2 - 2*r + 50. Let a(y) = 3*p(y) + 2*u(y). Wha | {
"pile_set_name": "DM Mathematics"
} |
y n(1).
13
Let u = -410 + 421. What is the remainder when 105 is divided by u?
6
Let x = 24 + -46. Let i = 32 + x. Calculate the remainder when (-1)/(2/4) - -40 is divided by i.
8
Let h = -2549 + 2572. What is the remainder when 129 is divided by h?
14
Suppose 8*b - 3*b - 10 = 0. Suppose 6*f - 58 = 164. What is the remainder when f is divided by (-15)/b*(-4)/3?
7
What is the remainder when 307 is divided by 120/11 - (42/22 + -2)?
10
Let b = -2 - -4. Suppose a = 15 + 8. Suppose -3*j = -a + 5. What is the remainder when j is divided by b?
0
Let v be (-3)/(-2)*16/3. Let f be (-10)/15*(-36)/v. Suppose 0 = -k - 5*b + 18, -b - 17 = -f*k + 5. What is the remainder when k is divided by 3?
2
Suppose z + 392 = 5*z. Suppose -5*f - 4*a + 278 = 0, -f - f + 5*a = -z. What is the remainder when f is divided by 16 - (2 + 0/2)?
12
Suppose 10*a - 35 = -155. What is the remainder when (-938)/(-8) - 1/4 is divided by (a/(-10)*-2)/(4/(-50))?
27
Suppose 3*i - 27 = -2*a, 3*i + i + 5*a = 29. Suppose 3*z = 5*z - 7*z. Suppose -14*h + 513 - 65 = z. What is the remainder when h is divided by i?
10
Let y(d) = -d + 1. Calculate the remainder when 12/16 + 63/12 is divided by y(-4).
1
Let v = 96 - 86. Calculate the remainder when 56/v + (-4)/(-10) is divided by 3.
0
Let u = 1068 + -1050. Calculate the remainder when 78 is divided by u.
6
Suppose -35 = 2*u + 7. Calculate the remainder when 11 is divided by u/(-3) + -2 + (-2)/(-2).
5
Suppose 0 = -4*j - 30 + 6. Let o be 12/9*j/4. Calculate the remainder when 26 is divided by ((-3)/o)/((-1)/(-10)).
11
What is the remainder when -1*(-8)/(-6)*-807 is divided by 18?
14
Let f(n) = -24*n - 74. What is the remainder when f(-11) is divided by 67?
56
Let d(q) = 20*q + 29. Calculate the remainder when 101 is divided by d(0).
14
Calculate the remainder when 166/(-4 - (3 + -8)) is divided by 24.
22
Suppose 0 = 2*h, h = 4*t - 0*h - 32. What is the remainder when (4 + 0 + -3)/(18/378) is divided by t?
5
Let w = 332 - 71. What is the remainder when w is divided by 33/((-11781)/(-34)) + (-1844)/(-42)?
41
Let g(w) = 2*w**3 - 2*w**2 - 18*w + 5. What is the remainder when g(6) is divided by 29?
25
Suppose 40*r = 7189 + 3051. Calculate the remainder when r is divided by 9.
4
Let j = 102 + -108. Calculate the remainder when 18/((-3 - j)/3) is divided by 5.
3
Suppose 0 = t + 5*j - 3, 3*t + 8*j - 7*j = 51. Suppose -4*p + 0*p + 4 = 0. What is the remainder when t is divided by 0/1 + (p - -6)?
4
Calculate the remainder when 6 + 5 + 157 - (4 + 0) is divided by 11.
10
Suppose 104*y - 28 = 103*y. Suppose 0*t + 28 = 2*t. Let a = 24 - t. What is the remainder when y is divided by a?
8
Let z(b) = 2*b + 41. Calculate the remainder when 104 is divided by z(-19).
2
Let n(w) = -w**2 - 9*w - 10. Let q be n(-5). Let f be (5/q)/(1/20). Calculate the remainder when 19 is divided by 48/f - 5/(-25).
4
Suppose -15 + 0 = -5*v. Suppose 0 = -3*j - 3*z, j = 2*j + 2*z + 5. Calculate the remainder when j is divided by v.
2
Let s be (1 + -2)*(15 - 15). Suppose -4*r = 5*m - 28, 5*r + s*m = 3*m - 2. Calculate the remainder when (-4 + r)/((-3)/147) is divided by 20.
18
What is the remainder when 0 + 610/4*70/175 is divided by 32?
29
Suppose -4*v = -v - d - 46, -d - 76 = -5*v. Suppose h + 2*p - v = -p, -h - 5*p = -17. Calculate the remainder when h is divided by 7.
5
Suppose -7 = -4*n - 4*s + 5, -15 = -5*n + 2*s. Suppose -2*l + z = -n - 6, 3*z + 13 = -l. What is the remainder when 7 is divided by l?
1
Suppose -4*i + 5*j = -8, 11 = -7*i + 2*i + j. Let s = 5 + i. Suppose 0 = 4*l - s*l - 6. Calculate the remainder when 7 is divided by l.
1
Suppose 5*f + 77 = 2. Let a = 1 - f. Calculate the remainder when 31 is divided by a.
15
Suppose -3*m + 6 + 3 = 0. Suppose -70 = -m*k - 7. Calculate the remainder when 60 is divided by k.
18
Suppose 2*q - 102 = -q. What is the remainder when (-16)/(-20) + 2888/40 is divided by (-2)/(-4)*q - -2?
16
Let r(m) be the third derivative of -m**4/6 - 3*m**3/2 + 4*m**2. What is the remainder when 23 is divided by r(-4)?
2
Let z be 5*7/(70/6). Suppose z*f + 41 = -4*q, 8*q - 3*q = 4*f - 28. Calculate the remainder when ((-4)/q)/(1/74) is divided by 14.
9
Suppose -5*j - 3*v + 72 = -0*v, j + 5*v = 10. What is the remainder when 132/11 + (-1 - 5 - -15) is divided by j?
6
Suppose -6*v + 2*v + 52 = 0. Calculate the remainder when (12 - 9)*v*14/6 is divided by 23.
22
Suppose 12*l = 7*l + 25. Let q = 42 - l. Suppose s - 5 = -0*r - 5*r, -2*s = 3*r - 31. Calculate the remainder when q is divided by s.
17
Let y = 2389 + -2369. What is the remainder when 34 is divided by y?
14
Let u = 40 + -17. Let n(f) = -10*f**2 + 5*f. Let v be n(-4). Let m = -90 - v. What is the remainder when m is divided by u?
21
Suppose -2*j = -5*j + 9. Suppose j*t = 4*t + 8. Calculate the remainder when 9 is divided by 10/4*(t - -10).
4
Suppose 4*k + 5*n - 34 = 0, -k - 2*n = 2*n - 14. Let m = -101 + 104. What is the remainder when k is divided by m?
0
Suppose 3*y + 50 = -5*k - 51, 5*y + 225 = 3*k. Calculate the remainder when 74 is divided by ((-19)/3)/(14/y).
17
Let n = 68 + -60. Suppose -2*z + 5*j = z - 32, -4*j = -n. Calculate the remainder when 97 is divided by z.
13
Suppose 0 = -5*i + 5*x + 25, 0 = 5*i + x - 10 - 45. Suppose i = -5*z + 40. Suppose z*g = 4*g + 10. What is the remainder when 13 is divided by g?
3
Let z = 14 - 7. Let x(r) = 21*r - 13. Let a(w) = 11*w - 7. Let i(b) = z*a(b) - 4*x(b). Calculate the remainder when i(-4) is divided by 17.
14
Let u be 1/(1/(-34)) + -1. Let c = -4 - u. Calculate the remainder when c is divided by -2 + 15*(-5)/((-75)/10).
7
Let p(w) = -w**3 - 18*w**2 - 33*w + 5. Let d be (-333)/21 + (-3 - 100/(-35)). Calculate the remainder when 78 is divided by p(d).
15
Let v(w) be the third derivative of -w**6/120 + 7*w**5/60 + w**4/12 - w**3/6 + 3*w**2. Calculate the remainder when 36 is divided by v(7).
10
Suppose -230 = 11*o - 57*o. Calculate the remainder when 2/(-3) + 136/6 is divided by o.
2
Let w be (-482)/(-8) - 3/12. Let y be 5*(w/(-25))/(-2). What is the remainder when 20 + (-4 - y/(-3)) is divided by 5?
3
What is the remainder when 118 is divided by (-4)/(-8)*70*(7 - 6)?
13
Let o = 103 + -53. Let z = o - 29. What is the remainder when ((-108)/8)/((-1)/6) is divided by z?
18
Suppose 2*h + 17 = 105. What is the remainder when 288 is divided by h?
24
Calculate the remainder when 81 is divided by (14/(-4) + 3)*-52.
3
Suppose 70 = 3*l + 2*l. Let v = l - -30. Calculate the remainder when v is divided by 15.
14
Suppose -7*u = -12*u + 30. Calculate the remainder when 122 is divided by 1/u - 2/(72/(-1470)).
40
Let j(u) = 3*u**3 - u**2 + u - 2. What is the remainder when j(4) is divided by 19?
7
Suppose 0 = -138*z + 128*z + 9850. What is the remainder when z is divided by 26?
23
Let y = 41 + -6. Calculate the remainder when ((-5)/5 - y)/(2/(-10)) is divided by 46.
42
Let c be (-2)/(-1) - (1 + 1). Suppose 7 = -c*b + b + 4*m, 2*m = -2*b + 44. Let g = b + -8. What is the remainder when 56 is divided by g?
18
Suppose 0 = -4*n - 3*j - 0*j + 13, n = -5*j + 16. Calculate the remainder when 10 is divided by n - ((-6 - -4) + 1).
0
Let b(q) = -3*q + 12. Let m be b(3). Suppose -36 = -6*a + m*a. What is the remainder when 68 is divided by a?
8
Let r = 27 - 12. Suppose -c - 5*g = -r, 2*c - g - 25 = -6*g. What is the remainder when 49 is divided by c?
9
Let u(j) = j**2 - 9*j - 14. Let t(m) = 0 + 14*m + 0 + 2. Calculate the remainder when t(2) is divided by u(11).
6
Suppose -3*f = 12, -4*f = 2*y - 177 - 63. Calculate the remainder when y is divided by (14/4 + -4)*-66.
29
Let r(o) = -o**3 + 2*o**2 + 17*o + 2. Calculate the remainder when 65 is divided by r(5).
5
Let u(j) = 2*j - 6*j - 3*j + 0*j - 18. What is the remainder when 26 is divided by u(-4)?
6
Let b = 111 - 2. Calculate the remainder when b is divided by 37.
35
Calculate the remainder when 211 is divided by 31 - 14/((-126)/81).
11
Let z(b) = -7*b**3 + 2*b**2 - 1. Let y be z(-1). Suppose -36 = -12*i + y*i. What is the remainder when 34 is divided by i?
7
Let o(r) = 3*r + 12. Suppose -2*g = x - 5, x = -2*g + 4*x + 17. Let a = 13 - 0. What is the remainder when o(g) is divided by a?
11
Let o = -86 - -97. Calculate the remainder when 505 is divided by o.
10
Suppose 3*d - 28 + 13 = 0. Suppose -54 - 31 = -d*a. Calculate t | {
"pile_set_name": "DM Mathematics"
} |
e (-74)/14 - (-1)/((-21)/(-6)). Sort 4, l, c in ascending order.
c, l, 4
Let w(j) = -j**2 + 15*j + 4. Let z be w(15). Put z, 6, -5 in descending order.
6, z, -5
Let n = 11 - 10. Put n, 0, -0.2 in decreasing order.
n, 0, -0.2
Suppose 4*f = 2*m - 16, -5*m - 5*f = -3 + 8. Suppose s + m*s + 12 = 0. Suppose 5*y = -i + 2, 2*y = 7*y + 4*i - 8. Sort s, 1, y in descending order.
1, y, s
Let k = -31 + 30. Put k, 4, -3, 5 in increasing order.
-3, k, 4, 5
Suppose -7*x = -2*x. Suppose x*v - 2*v + 8 = 0, -4*v = 2*i - 24. Let u(d) = d**3 - 4*d**2 - 6*d. Let l be u(5). Put i, -1, l in increasing order.
l, -1, i
Let k(j) = -j**3 - 5*j**2 - 4*j. Let p(l) = l + 5. Let w be p(-9). Let x be k(w). Sort -0.5, x, 0.07 in increasing order.
-0.5, x, 0.07
Let u = 10 + -13. Let o be (-3)/(-1 + u/6). Put -1, o, 5/7 in decreasing order.
o, 5/7, -1
Let d be (-4)/7 + (-2)/(-28). Put d, 2/19, 0.2 in increasing order.
d, 2/19, 0.2
Let b be (0 + (-2)/4)/(-3). Suppose -2*m - 4*n = -0 - 6, -4 = -4*n. Let v be (0 - m)*(-12)/(-8). Sort b, v, -4.
-4, v, b
Let c = 112 - 116. Put 2, -3, c, 5 in decreasing order.
5, 2, -3, c
Let n = 18 - 52/3. Let s be -3*(1 + 2/(-3)). Let b = 65 + -67. Sort n, s, b in decreasing order.
n, s, b
Let y = -22 + 25. Let q be y + 16/(-7) + -1. Let c = 0 + 1. Sort 2, q, c in increasing order.
q, c, 2
Let g = -6 - -7. Let h be 164/3 + 1 - g. Let z = -56 + h. Sort 1/3, z, -1/2.
z, -1/2, 1/3
Let r = -9 + 9. Let v be 0/2 + r - 0. Put v, 2/15, 2 in decreasing order.
2, 2/15, v
Suppose -3*y = 3*r - 45, -4*r + 5*r = -2*y + 16. Let n = r - 17. Sort n, 5, -8 in increasing order.
-8, n, 5
Let x = -411/5 - -84. Sort -0.2, -3, x in decreasing order.
x, -0.2, -3
Let q = -4 - -2. Let b be 18/(-12)*q/(-1). Let w = 3 + b. Sort 1, -3, w.
-3, w, 1
Let t be 0 + (-1 - (4 - 1)). Let d be (-2)/1 - (-8 - -1). Suppose -6*w = d*h - 2*w, 4*h - 4*w = 36. Put h, t, -5 in decreasing order.
h, t, -5
Let c = 0.37 + -0.07. Let r be (-8)/(-42)*(-6)/4. Let y = -0.4 - -0.1. Sort r, y, c in increasing order.
y, r, c
Let w = 5 - 2. Suppose -2*m = 4*v + 18, -2 = v - w*m + 6. Let c be 3/(-9) - 32/(-6). Sort c, 4, v in decreasing order.
c, 4, v
Let r(i) = i**2 + 2*i + 2. Let b be r(-1). Put -4, b, 2, -5 in ascending order.
-5, -4, b, 2
Let g = 0.04 - 19.04. Put -1, g, -5 in ascending order.
g, -5, -1
Let j(k) = k**2 - 3*k - 6. Let d be j(4). Sort d, 0, 5 in decreasing order.
5, 0, d
Let s = 5.069 - 0.069. Sort -8, s, -2 in decreasing order.
s, -2, -8
Let g be (-1 + (-1)/(-2))*0. Sort 4, g, -4 in descending order.
4, g, -4
Let x be (-6)/12 - 5/(-2). Let s = -15 + 14. Sort -2, x, s in increasing order.
-2, s, x
Let i(l) = 2*l + 12. Let z be i(-9). Let a be (-5)/20*(-4)/z. Sort 0.3, a, 4 in descending order.
4, 0.3, a
Let u = 2 + -8. Let o = u + 5.6. Put o, -4, 5/4 in increasing order.
-4, o, 5/4
Suppose 7*y - 11*y = 0. Suppose -2*s - 6 = -4*s. Sort y, 2, s in increasing order.
y, 2, s
Let y = 0.064 + 2.936. Let q be (1 - -1)*3/12. Sort y, q, 0.3 in increasing order.
0.3, q, y
Suppose -5*y + 2*y - 3 = 0. Sort -0.2, y, -2/7.
y, -2/7, -0.2
Suppose y + 23 = 5*p, -5*y + 0*p = 4*p - 1. Sort 4, 1, y in ascending order.
y, 1, 4
Let u be (-3)/(((-1)/3)/(-1)). Let y = u + 4. Let p be (-3)/(6/(-8)) + -2. Put p, -3, y in ascending order.
y, -3, p
Suppose 20 = 5*j - 9*j. Put -3, j, 3, -1 in decreasing order.
3, -1, -3, j
Suppose 9*x - 5*x + 2*g = -16, -5*x = 3*g + 20. Put x, 5, -1 in increasing order.
x, -1, 5
Let t(b) = -b**3 - 3*b**2 + 5*b - 1. Let y be t(-4). Put y, 1, 4 in descending order.
4, 1, y
Suppose -b = -3*v + 3*b + 7, 4*v + 4*b - 28 = 0. Let s be -5*2/v*2. Sort 4, -3, s.
s, -3, 4
Let h = -25 + 28. Sort 6, h, -5, 2.
-5, 2, h, 6
Suppose -15 = -3*n, 4*q - 4*n - 4 = 2*q. Suppose -5*k + 13 = -q. Let g = k - 2. Put 1, g, 5 in decreasing order.
5, g, 1
Let f = 0.016 + -0.016. Let z = 2.2 - -0.8. Let g = z + f. Put 0.3, g, -4 in ascending order.
-4, 0.3, g
Let p = 66 - 62. Sort -2, p, -0.4, 1.
-2, -0.4, 1, p
Let o = 17 + -13. Put 0.3, 0, o, -3/2 in increasing order.
-3/2, 0, 0.3, o
Let l(t) = 6*t - 4. Let a be l(1). Sort a, -2/13, 0.2 in ascending order.
-2/13, 0.2, a
Let g(x) = x**2 + 8*x - 7. Let o be g(-8). Let k(t) = -t**3 - 7*t**2 - t - 4. Let a be k(o). Put a, -4, -5 in ascending order.
-5, -4, a
Let p be 1 + 4 + -4 + -4. Sort 6, 1, p.
p, 1, 6
Let v(i) = 2*i + 9. Let h be v(-3). Put -0.4, -5, -0.3, h in descending order.
h, -0.3, -0.4, -5
Let i(z) = z**2 - 6*z + 4. Let o be i(3). Let k = -3 - o. Suppose -3 = 4*u + y, -3*u - 2*y + 1 = 2*y. Put -2, k, u in increasing order.
-2, u, k
Let v = 24 + -22. Let o = -0.34 + -0.06. Sort 5, v, o in decreasing order.
5, v, o
Let j(c) = -9*c + 1. Let g be j(-1). Let l = g - 10. Suppose -2 - 6 = -4*u. Sort u, 5, l.
l, u, 5
Let f = -8 + 13. Suppose 0*x = 5*x - 15. Let m be 0/1 + (-20)/(-16). Sort x, f, m in ascending order.
m, x, f
Let d = -1 + -9. Let a be (-14)/35*d/8. Sort -1, -4, a in increasing order.
-4, -1, a
Let b be (3 - -1)/(3/12). Suppose 4*h - 5 = 5*a + 1, 2*a - b = -3*h. Let t = 1 + 2. Sort -1, t, a in ascending order.
-1, a, t
Let w(h) = 3*h**2 - 7*h - 9. Let u(z) = 7*z**2 - 13*z - 17. Let j(g) = 4*u(g) - 9*w(g). Let b be j(-9). Put 0, b, -1 in descending order.
0, -1, b
Let w = -7 + 7.4. Sort 3, -3, w, 2/3 in descending order.
3, 2/3, w, -3
Suppose 0 = 3*r - 2*i - 2, -2*r + 5*i = 23 - 6. Suppose -25 = -2*g - 2*w - 3, 5*g - 3*w = 47. Suppose p = -r*p + g. Sort 1, 4, p in descending order.
4, p, 1
Suppose 0 = 6*w - 4 + 16. Sort 5, 1/9, -1, w in descending order.
5, 1/9, -1, w
Let u(l) = -l + 2. Let a be u(-3). Sort -8, a, 3 in increasing order.
-8, 3, a
Let n = -3 - -5/2. Put 0.4, n, -3 in decreasing order.
0.4, n, -3
Let a(s) = -s**3 + 0*s**3 - 6*s - 8 - 6*s**2 + 4 + s**2. Let x be a(-4). Put 1, -0.1, x in decreasing order.
x, 1, -0.1
Let t = 0.3 - -0.2. Let o = t - 0.15. Let f = o + -0.05. Sort -5, 0, f in increasing order.
-5, 0, f
Let o(v) = 5*v**2 + v - 1. Let g be o(1). Let t(z) = z**2 - 5*z - 1. Let l be t(g). Let p be -2 + (-3 + 5)/(-1). Put p, l, 1 in descending order.
1, l, p
Let s be 17/(-15) - 6/(-45). Put -3, s, 5, 2 in ascending order.
-3, s, 2, 5
Suppose -5*l + 668 = -3*b, 3*b - 4*b - 1 = 0. Let c be ((-2658)/(-40))/(2/(-4)). Let w = l + c. Sort 0.2, w, 1 in descending order.
1, 0.2, w
Let a = -1386 - -6863/5. Let g = a - -727/55. Let x = -2.9 + -0.1. Sort -0.2, x, g in ascending order.
x, -0.2, g
Let q be (-4 - -3)*-4 - -11. Let f = q - 3. Put 5/4, f, 0 in ascending order.
0, 5/4, f
Let k = -12 + 9. Sort 5, 0, k in decreasing order.
5, 0, k
Let i = 1.53 + -1.83. Sort 5, 0.5, -4/5, i in descending order.
5, 0.5, i, -4/5
Suppose 14 = -3*z - 16. Let w be (36/30)/((-4)/z). Sort 1, w, 4 in descending order.
4, w, 1
Let y = -331 + 341. Let f be (2*-1)/((-1)/(-1)). Put y, f, 1/4 in ascending order.
f, 1/4, y
Let u(t) = t**2 + 13*t - 18. Let n = 36 + -50. Let m be u(n). Sort 3, m, -3.
m, -3, 3
Let c(x) = -x**2 - 10*x - 18. Let h be c(-8). Put 1, 4, -1, h in descending order.
4, 1, -1, h
Let m = 8 + -13. Let d = -5 + 8. Suppose -a = -0*a - 2. Sort m, d, a.
m, a, d
Suppose 5*a + 5 = 0, 5*j + 5*a = -19 - 6. Put -11, j, 2 in decreasing order.
2, j, -11
Suppose -i + z = 2*i - 20, 30 = 4*i - 2*z. Sort -6, i, 2.
-6, 2, i
Let x be 2/(-20)*(-20)/(-8). Let j = -1 - -1. Let d(i) = -i**2 - i + 2. Let h be d(j). Sort x, -1/2, h in decreasing order.
h, x, -1/2
Suppose -27 = -4*o + 3*w, -2*w + 4*w = -5*o + 5. Let y(u) = -3*u + 4. Let v be y(o). Sort 4, v, -3.
v, -3, 4
Suppose -36 = -5*t - 41. Put -4, t, 3 in descending order.
3, t, -4
Let d = 3/10 + -1/2. Sort 0.1, d, -9 in descending order.
0.1, d, -9
Let a be 0 + 7/((-63)/6). Sort -2/5, -4, a in descending order.
-2/5, a, -4
Let y = 2 + -4. Sort 0, -5/2, y.
-5/2, y, 0
Let k = -130 + 127. Put 4, -0.3, k, 7 in decreasing order.
7, 4, -0.3, k
Let m(p) = -p**2 + 8*p - 11. Let k be m(7). Let o be (2 - 3)/((-1)/5). Sort k, o, -2 in ascending order.
k, -2, o
Let i = -0.044 - 0.246. Sort i, -3, 2 in decreasing order.
2, i, -3
Let z = 334/285 - 16/15. Let l = -4.7 + 4.8. Put l, z, -1 in descending order.
z, l, -1
Let v = 22 - 13. Suppose -m = 2*m - v. Sort m, -5, 0 in increasing order.
-5, 0, m
Let k be (-2)/(-3) + (-3)/(-9). Sort -4, k, 5 in ascending order.
-4, k, 5
Let u = -120 + 119.8. Let k = -5 - -7. Let q | {
"pile_set_name": "DM Mathematics"
} |
k be (-1 + 2)*((-2 - -6) + 9). Suppose 3*m - 40 = -5*u, -8*m = -k*m + u + 20. Sort -3, m, -4, 4.
-4, -3, 4, m
Let y = -0.24 - -0.77. Let v = -0.83 + y. Sort v, -1/11, 1, 3/4 in ascending order.
v, -1/11, 3/4, 1
Let l be -13*(12/78)/(-1). Let b be 16/20*(-10)/(-6). Put l, b, -37 in ascending order.
-37, b, l
Let x(o) = -5*o - 20. Let b be x(-4). Suppose -4*h = 5*p + 29, -p + 3*p - 3*h + 7 = b. Put 7, p, 1, 0 in increasing order.
p, 0, 1, 7
Let q(i) = -i**2 + 5*i - 2. Let b be q(4). Suppose -n + 45*j = 49*j + 4, n - 3 = 3*j. Put b, 82, n in increasing order.
n, b, 82
Let i = 6125.2 - 6126. Put 2/25, -0.22, i in decreasing order.
2/25, -0.22, i
Let i = -58 + 173.9. Let s = i + -116. Sort 2, s, 0.38 in ascending order.
s, 0.38, 2
Let t = -2 + 1. Let x = 3.302 - 3.33. Let k = x - -0.028. Put k, t, -5 in decreasing order.
k, t, -5
Let y(k) be the second derivative of k**3/2 - 9*k**2/2 - k. Suppose 6*u - 14 = 2*q + 2*u, 0 = 5*q + 2*u - 25. Let l be y(q). Sort 2, -2/3, l.
-2/3, l, 2
Let s be ((-112)/(-6) - 0)*(-525)/100. Sort 5, -1/5, -2/19, s, 0.6 in ascending order.
s, -1/5, -2/19, 0.6, 5
Let w = 625 - 614. Let d(k) be the first derivative of -k**3 + 2. Let q be d(1). Sort -1, w, q in decreasing order.
w, -1, q
Let p = 0.42702 + 2.57298. Let u = 7 - 27. Sort p, 1, -0.01, u in increasing order.
u, -0.01, 1, p
Let w = 11027 - 165407/15. Let h = -116 + 45. Sort 2, w, -2/5, h.
h, -2/5, w, 2
Let h = -5.29 + -0.11. Let v = h - -4.9. Let j = -59 + 63. Sort j, -3, 0.3, v.
-3, v, 0.3, j
Let k be 264/66 + 1 + -10. Let j be (-33)/55*5 - (0 - k). Put -4, j, 3, 2 in ascending order.
j, -4, 2, 3
Let c = 0.18852 + 0.21148. Put 349, c, -3 in ascending order.
-3, c, 349
Let n be (5 - (-114)/(-12))*-2. Suppose -a - 2*a = -n. Put 1, a, 4, -3 in increasing order.
-3, 1, a, 4
Suppose 23 = 5*x - 2*a, 2173*a + 7 = x + 2172*a. Sort x, -10, -2, -16, 1 in ascending order.
-16, -10, -2, 1, x
Let x(s) = 5*s**2 + 8*s - 8. Let u be x(-2). Suppose -2*k + 7*k = 2*k. Put k, u, 7 in descending order.
7, k, u
Let i be 2*3*(-48)/9. Let b = i - -29. Put 5, b, 0.3 in increasing order.
b, 0.3, 5
Let p = 3040 + -3035. Let g = -10.8 + 5.8. Sort -11, g, 2/17, p in decreasing order.
p, 2/17, g, -11
Suppose 0 = 26*x + 26 - 0. Sort -9, -2, -3, x.
-9, -3, -2, x
Suppose -n + 20 = 3*n. Suppose -4*a - 5*h = -28, -a + n*h - h = 14. Suppose -9 = -3*x + 5*p + a, 3 = 3*x - 3*p. Sort x, 0, 2, 1 in decreasing order.
2, 1, 0, x
Suppose 0 = -o - 5*x + 25, 0 = 5*o + 6*x - x - 245. Put o, 13, 0 in ascending order.
0, 13, o
Let q = -16.8 - -17. Let b = 65.3 - 463.2. Let u = 398 + b. Put u, 0, q, -37 in decreasing order.
q, u, 0, -37
Let w(j) = -2*j**3 - 22*j**2 + j + 12. Let z be w(-11). Let c be 48/12*(-2 + z). Sort -5, 2, 3, c in decreasing order.
3, 2, c, -5
Let q = 1336 + -1332. Suppose 3*z + x + 16 = 0, -6*x + 2*x - 4 = 0. Sort 0, q, z, -1 in ascending order.
z, -1, 0, q
Suppose 757*j = 763*j - 24. Suppose j*p + 5*h = -2, 5*p + 9*h = 11*h + 14. Put p, -5, 5, -4 in descending order.
5, p, -4, -5
Let b = -66 + 65.5. Let s be 3 + (-18)/5 + 140/25. Put s, 2/9, b, 0 in descending order.
s, 2/9, 0, b
Let k be 2/(6/(-10) - -1). Let a(m) = -m**2 + 2*m + 7. Let v be a(3). Suppose 932*t + 538 = 850 + 620. Sort v, t, -3, k in descending order.
k, v, t, -3
Suppose -5*i - 372 = -4*g, -528 = -g + 2*i - 435. Sort g, 0, -2 in ascending order.
-2, 0, g
Let b = 7181 - 7183. Put b, -3, -2/17, -115/2 in descending order.
-2/17, b, -3, -115/2
Let o = 0.0425 + -188.0425. Let u = -190 - o. Sort 0.3, 42, u in descending order.
42, 0.3, u
Let u = -3535 + 3555. Put u, -15, -5, 1/5 in decreasing order.
u, 1/5, -5, -15
Let z be (3 - 13)*(-44583)/965. Sort -3, z, 5, 2 in descending order.
z, 5, 2, -3
Let t = 7.265 + 0.755. Let n = 8 - t. Let p = 378 + -380. Sort n, p, 1/3 in descending order.
1/3, n, p
Let d be -16 + 12 + (0 - 1). Suppose 4*h - 5*l + 28 = 0, -12 = -h - 5*l + 6. Let y be ((-1)/2)/((-1)/(-12)). Sort 3, y, h, d in descending order.
3, h, d, y
Let u = -3855 + 3852. Sort -1, u, 1274.
u, -1, 1274
Let r be ((-6188)/(-13923))/(20/18). Let c(n) = -n**3 + 2*n - 1. Let y be c(-2). Sort -2, r, 2/69, y in descending order.
y, r, 2/69, -2
Suppose 3*d + 5 = 3*u - 1, 2 = d. Suppose 2*g + 16 = -u*b, 16 = -11*b + 7*b + 5*g. Put 0, 5, b in decreasing order.
5, 0, b
Let t(a) = 431*a**2 - 38*a - 36. Let h be t(-1). Put -3, h, -2 in decreasing order.
h, -2, -3
Suppose 0*m = -10*m + 20. Suppose -4*w + 28 = m*i, -4*w + w = -3*i + 15. Let j be (7 - 44/i) + 91/(-2). Sort j, 5, -2.
j, -2, 5
Suppose -10*k + 2800 = -6*k. Suppose -9*f + k = -37*f. Let c = -206/45 + 24/5. Put f, 1, 3, c in increasing order.
f, c, 1, 3
Let d be 20*(-21 + 18)/(3/1). Put -25, 0, d in decreasing order.
0, d, -25
Let o be (6/(-15))/((-1)/(-5)). Let y = -723 + 723. Suppose y = i - 5*j - 3 - 0, 5*j + 17 = -i. Put 2, 4, o, i in increasing order.
i, o, 2, 4
Let m be 7/(189/(-2)) + 0. Let t be (11 - 600/54)/((-8)/(-12)). Sort -2, m, 0.5, t.
-2, t, m, 0.5
Let m = 16429 + -16404. Put m, 5, 9 in increasing order.
5, 9, m
Let b = 15 - 7. Suppose -9*o + 37 - 73 = 0. Sort o, -2, -1, b in decreasing order.
b, -1, -2, o
Suppose 2*i = 5*m + 3, -4*m + 5 = m. Suppose -5*c - 5 = -g - 18, -28 = -i*g + 4*c. Let x be (-18)/g*4/(-6). Sort -5, x, -1, 2 in increasing order.
-5, -1, x, 2
Let o = 1 + 0. Let r = 397 + -398.82. Let c = -0.18 + r. Sort -1, o, 4, c in descending order.
4, o, -1, c
Let l = -33225127/462 - -71916. Let h = 2/77 + l. Let v = -0.2 + 0.1. Sort h, v, 0.3 in descending order.
0.3, h, v
Let m = -0.04 - 0.03. Let y = 2385.07 + -2385. Let b = y + m. Sort b, 1, 1/5 in decreasing order.
1, 1/5, b
Suppose -o = 0, -y - 3*o + 40 = 4*y. Suppose 0 = 2*t - 4*x - y, -2*t - 3*x - 2*x = 28. Suppose -4*f + 8 = 16. Sort 2, t, 0, f in descending order.
2, 0, f, t
Let l = -231.6 - -436. Let m = l - 204. Let b = 0.4 - -4.6. Sort m, b, -2, 1 in descending order.
b, 1, m, -2
Suppose -8 = 3*f + f. Let u be 8/(-20)*(30 + -175). Sort u, -5, f in ascending order.
-5, f, u
Let k(h) = 4*h**2 + 155*h - 37. Let p be k(-39). Suppose 27*d - 11*d = 176. Sort -2, d, p in descending order.
d, p, -2
Let c = 0.2 - 0.3. Suppose 5*y - 15 = 4*r, 2*r - 48 = -4*y - 36. Let i be (y/(-1))/((-21)/28). Sort 0.2, -1, i, c in decreasing order.
i, 0.2, c, -1
Suppose 11*k - 3*b = 15*k - 29, 5*b = 5*k - 10. Sort 2, k, -3, -2.
-3, -2, 2, k
Suppose 3*b + y = 58, 3*y + 39 = 2*b - 7. Suppose 0 = 5*j + b, -6*g = -7*g + 2*j + 2. Put g, -4, -1, 3 in decreasing order.
3, -1, -4, g
Let h = -1/267 - -551/4539. Let k = h - -24/85. Let c = -1410 - -1410.2. Sort k, c, 6 in increasing order.
c, k, 6
Suppose 1 - 5 = -4*k, -5*r + 5*k = 0. Let a = -188 + 129. Let d = a - -59. Sort -10, r, d, 2 in ascending order.
-10, d, r, 2
Let d be (-1 - 0)/(2/(-4)). Let j be 0 + d/16*6. Let n = 65.9 + -66.4. Put -2, j, n in decreasing order.
j, n, -2
Let h be (-2)/3 + (-19)/(-42). Let n = 27423/14 + -5878/3. Let c = h - n. Sort -0.4, c, -1/7 in decreasing order.
c, -1/7, -0.4
Let d = -3/347860 + -1540671877/7305060. Let j = -211 - d. Let p = 33998 - 33989. Sort p, 2/5, j, -0.5.
-0.5, j, 2/5, p
Let w = 12 + -20. Let g be -4 + (0 + 24/46)*(-124729)/(-10846). Put -5, w, -1, g in decreasing order.
g, -1, -5, w
Let n = 25 + 10. Let s = -45.6 + n. Let d = -5.6 - s. Sort -2, -5/3, d in descending order.
d, -5/3, -2
Let u be (-25)/(-50) - (3/6 + 2). Suppose -5*o + 3*o - 6 = 0. Let g be o/(-6) - (-54)/(-12). Put 3, g, u in descending order.
3, u, g
Let p = 203 - 200.7. Let l = p - -1.7. Sort l, -1/3, 11.
-1/3, l, 11
Let f = -108 - -121. Let s be 1*f/((-91)/(-14)). Suppose -6*r - 20 = -r. Sort 20, r, s in descending order.
20, s, r
Let h = -1405 - -1401. Suppose 0 = 3*j - j + 6. Let t be (9 - 2 - 2) + (-1 - 6). Sort h, t, j, 4 in increasing order.
h, j, t, 4
Let q = 71171 + -71171.5. Let t = -2.4 - -2. Sort t, 6/13, q, 5.
q, t, 6/13, 5
Suppose 18 = 4*c + 3*v, -2*v + 12 = 8*c - 9*c. Put 322, -8, c in descending order.
322, c, -8
Suppose -5*n = 9 + 6. Let b be (-6)/22 - 267/(-979). Sort -4, b, -1, n in decreasing order.
b, -1, n, -4
Let h = 0.1289 + -5.1289. Put h, 2, -0.02, -0.3, -1/77 in descending order.
2, -1/77, -0.02, -0.3, h
Let j be 355*(-5 + -1)*(-3)/30. Let g = j - 211. Suppose -q - q + 1 = -5*c, 11 = 4*q - c. Sort 5, g, q, -4.
-4, g, q, 5
Let | {
"pile_set_name": "DM Mathematics"
} |
0
What is the value of ((-136)/22)/(34*63/(-11781))?
34
(-3)/(-6)*3*(-126)/(-1323)
1/7
What is (209/(-88))/(2/(-8))*(-8)/2?
-38
Evaluate 9/(-198)*-22*(-10)/6.
-5/3
What is (120/(-39))/(-40)*(-1)/((-2)/6)?
3/13
What is (-90)/(-15)*-2*-1*2?
24
(15*28*(-10)/(-3150))/(8/114)
19
Calculate ((60/(-117))/10)/(6/18).
-2/13
Evaluate 630/5250*(-3)/((-24)/20).
3/10
What is ((-2)/(-54))/((-199)/398)?
-2/27
72/342*(-63)/98*(-28)/(-24)
-3/19
(1/(-7))/(1434/6692)
-2/3
What is -7*(-150)/(-25)*4/84?
-2
Evaluate ((3/3)/(39/(-78)))/((-16)/(-40)).
-5
What is the value of (((-2790)/(-36))/31)/((-10)/48)?
-12
15/18*-4*((-60)/(-5))/(-4)
10
What is the value of (4*-9)/(-9)*(-14)/70?
-4/5
Calculate -1*((-2)/(22/(-1)))/(18/66).
-1/3
Evaluate 582/(-3104)*(-1)/(-3).
-1/16
What is the value of (-2)/(24/42)*-2?
7
What is the value of 18/(-4)*1188/(-2673)?
2
Calculate ((-63)/4)/7*(-48)/(192/16).
9
What is the value of (4/(-56)*1)/(8/32)?
-2/7
(6/(-92))/1*(-31096)/11661
4/23
Evaluate 6/7*13/(130/140).
12
((-141)/(-1974))/(((-6)/2)/18)
-3/7
What is 2280/285*(-1)/((-6)/9)?
12
112/(-320)*-5*6/(-42)*-92
23
What is 32/56*560/(-360)?
-8/9
What is 7/28*(4/6)/(4/(-6))?
-1/4
(((-9)/(-30))/(-3))/(192/2400)
-5/4
Calculate (2/(-26))/((-35)/(-70)).
-2/13
What is (12/3834)/(120/(-1080))?
-2/71
What is 25/(-150)*156/6*3*1?
-13
Calculate (6/(-36))/((26/(-4))/(-13)).
-1/3
8*3/(108/(-4))*8/(-16)
4/9
Calculate ((-36)/21*7/28)/((-5)/5).
3/7
Calculate ((-10)/24)/(730/292).
-1/6
What is (((-319)/(-55))/29)/7?
1/35
What is (297/(-330))/((-6)/10)?
3/2
What is the value of (-6)/(-1*(-200)/60)?
-9/5
What is the value of -6*64/42*105/(-30)?
32
Calculate 4*((-567)/72)/21*(-190)/(-15).
-19
What is the value of ((-1330)/20)/19*36/18?
-7
What is the value of (114/9)/(494/156)?
4
Evaluate (-1854)/(-927)*(1/4)/((-8)/6).
-3/8
Calculate 5*5/(-10)*(-19)/((-114)/24).
-10
What is ((10/6)/(48/512*40))/(-4)?
-1/9
((-250)/20)/((629/(-34))/(-37))
-25
(-1056)/(-880)*(12/(-16))/((-9)/(-6))
-3/5
Calculate ((-1)/(-8))/(((-1)/5)/((-106)/265)).
1/4
What is the value of 366/305*20/8?
3
Evaluate (-17)/(3*((-224)/(-42))/(-16)).
17
Evaluate (-58)/145*85/2.
-17
Calculate 1*((-48)/80)/(9/75).
-5
((192/(-40))/(-12))/(2*4/(-280))
-14
Calculate ((-2)/40)/1*3616/(-1356).
2/15
12*6/81*-1*(-48)/64
2/3
What is the value of (((-85)/(-15))/(-17))/((-2)/(-18))?
-3
What is (72/(-180)*(-6)/(-4))/(8/(-10))?
3/4
Calculate 12/(-16)*4*(-30)/(-9).
-10
Calculate 140/150*(-4)/28*6*-40.
32
What is the value of (-2)/14*(-28)/22*55/(-20)?
-1/2
Evaluate (754/(-87))/(280/(-60)).
13/7
Evaluate (((-104)/1)/8)/((-27)/(-9)).
-13/3
What is the value of (-6)/(-216)*40*(-33)/11?
-10/3
What is (16/28)/(460/161)?
1/5
(70/1036)/((((-35)/4)/(-7))/1)
2/37
((-348)/2030)/(2/10*1)
-6/7
3/(1*(-10)/2)
-3/5
Calculate ((-10)/(-3))/(1008/(-7560)).
-25
What is the value of 44*(((-45)/54)/1)/(5/(-3))?
22
Calculate (480/(-280))/(60/(-21)).
3/5
(-42)/24*(1960/42)/(-35)
7/3
Evaluate ((-8)/150)/2*(-4)/48*-36.
-2/25
Evaluate (((-51)/357)/(1/14*-2))/(-2).
-1/2
Evaluate (44/(-24))/(55/(-110)).
11/3
Calculate (-1104)/(-1288)*4/((-12)/21).
-6
Calculate ((-2)/2)/(2*(-20)/(-40))*27.
-27
Calculate (-1145)/458*4/10*-8.
8
What is (-24794)/644*(-2)/7?
11
((-128)/224)/1*(-7)/(-22)
-2/11
((-65)/((-216125)/(-600)))/((-8)/(-28))
-12/19
Calculate (4*(-8)/70*-7)/(2/5).
8
((-4855)/11652)/(-2*95/16)
2/57
Evaluate ((-20)/27)/(((-10094)/441)/103).
10/3
What is ((-11)/(-11))/((-450)/1530)?
-17/5
What is the value of 10/8*(-2120)/(-265)?
10
Evaluate ((-185)/6)/(5/(-6)).
37
What is the value of (-10)/(-12)*32*(-24)/(-512)?
5/4
Calculate (128/448)/((-30)/14).
-2/15
(495/33)/(-45)*1
-1/3
Evaluate ((-4)/(-14)*(-35)/15)/((-194)/291).
1
320/(-160)*-7*(-2)/(-4)
7
Calculate (175/385)/((-33)/121).
-5/3
What is ((-6)/(-20))/((-5103)/324)*14/(-10)?
2/75
What is the value of (24/((-36)/6))/(8/20)?
-10
((-15)/5)/((-108)/(-972))
-27
Evaluate 5/(((-448)/24)/8)*-7*1.
15
Evaluate 26/(-273)*63/(-144).
1/24
Calculate ((-35)/(-77))/(124/(-682)).
-5/2
Evaluate ((-6)/(66/(-11)))/((-93)/(-6)).
2/31
What is the value of ((-140)/(-8))/(-1)*20/(-25)?
14
Calculate 69/69*20/(-6).
-10/3
What is (14/(15680/(-96)))/(((-3)/(-3))/25)?
-15/7
45/(-20)*(16/30)/(6/60)
-12
Calculate 12*45/(-360)*40/4.
-15
What is the value of ((-36)/130)/(1947/(-3245))?
6/13
What is the value of (-430)/1075*50/14?
-10/7
What is the value of (198/88*-2)/(((-20)/(-4))/(-20))?
18
Evaluate (((-1664)/(-468))/8)/(6/(-1)).
-2/27
95*31/21204*3
5/12
Evaluate ((-12975)/1038)/(5/(-14)).
35
What is (-144)/(-36)*6/(-4)*(-16)/(-96)?
-1
What is ((147/(-7))/(-42))/((-1)/(10/4))?
-5/4
What is the value of (40/(-6))/5*41/((-2952)/54)?
1
What is the value of 15/6*13*(-264)/(-2145)?
4
((-230)/(-5175)*18/2)/((-6)/5)
-1/3
((-2)/(-4*(-2)/39))/((-7998)/(-2666))
-13/4
What is the value of 570/40*(-132)/(-99)?
19
Evaluate 3*120/(-9)*382/(-1528).
10
What is the value of (-33)/(-9)*1862/30723?
2/9
Calculate ((-5148)/42)/(-11)*11*84/264.
39
Evaluate (17*24/(-408))/(1/((-11)/(-1))).
-11
Evaluate (-12)/80*1245/1494.
-1/8
Calculate ((-514)/7710)/((-102)/45).
1/34
What is ((-492)/(-205)*-65)/4?
-39
What is ((-14)/(-10))/((-64)/(-40))*(-20)/10?
-7/4
Calculate ((-9)/3*15)/(75/(-25)).
15
What is -6*((-612)/(-1785))/(12/10)?
-12/7
(4/(80/(-30)))/((-5)/((-100)/5))
-6
What is the value of (5/(-8))/(-20*(-17)/(-136))*12?
3
What is (180/20)/(4/(192/6)*8)?
9
What is ((-1710)/(-12))/(-19)*-2*4/20?
3
What is the value of 171/((-38988)/(-760))*1*3?
10
What is -10*(650/(-25))/(-52)?
-5
What is the value of 2/(-65)*(-1840)/736?
1/13
-13*120/(-156)*((-3)/(-72))/(-1)
-5/12
What is ((-11)/(99/14))/(8/(-72))?
14
Calculate (-25)/(-4)*(-16232)/10145.
-10
What is 1*(0/(-2))/((36/4)/3)?
0
What is 1/(2/1*-376*(-11)/176)?
1/47
Calculate (-54)/420*((-2)/14)/(45/(-525)).
-3/14
What is (5166/16359)/(4/(-2))?
-3/19
What is the value of ((-15)/(-10))/(216/3024)?
21
Calculate (-316)/474*39/2.
-13
Calculate -14*4/112*15/(-9).
5/6
Evaluate ((-12)/21)/(54*(-22)/(-462)).
-2/9
Evaluate (((-12)/32)/((-9)/12))/((-1030)/(-3296)).
8/5
What is 2/(-3)*((-558)/(-248))/(6/(-20))?
5
11/(((-6)/(-9))/(36/54))*-1
-11
Evaluate 1/8*3*-98*(-16)/(-504).
-7/6
What is the value of (-309)/(-309)*9/(-2)?
-9/2
Evaluate (1275/((-25)/(-1)))/(9/3).
17
What is the value of 3/(-2)*(-3264)/(-288)?
-17
Evaluate (31/(9765/(-450)))/(((-15)/(-63))/5).
-30
What is -19*(-49)/266*(-2)/(-2)*-2?
-7
Evaluate (9/(-12))/((-33)/4)*(-22)/(-8).
1/4
Calculate (2247/(-1605)*16/7)/((-2)/10).
16
Evaluate (-30)/(-30)*((-5)/(-2))/(-5).
-1/2
What is ((-270)/(-105)*3)/(6/21)?
27
Evaluate ((-14)/(-504))/(42/(-189)).
-1/8
What is (-10)/5*(-27)/(-54)*1/4?
-1/4
What is the value of (-7)/((-5)/(5/12)*44/(-528))?
-7
Calculate ((-60)/(-24))/(15/72).
12
Calculate 1*3/(-54)*(-7)/((-21)/(-4)).
2/27
What is the value of ((-4911)/(-65480))/(6/8*(-2)/(-6))?
3/10
((-2)/56)/((-11576)/10129)
1/32
Calculate ((-1056)/10164)/((-16)/168).
12/11
(-12)/(-10)*-15*(-30)/180
3
Calculate (-25)/(900/(-198))*2/1*-3.
-33
Evaluate (4/(-12))/(110/(-4)*50/(-375)).
-1/11
Evaluate ((-84)/10)/((-74)/185).
21
What is (-50)/(-80)*(-48)/(-40)*3/9?
1/4
Evaluate 6/(72/12)*1/(-8).
-1/8
Evaluate ((3*36/(-81))/174)/(2/(-18)).
2/29
Calculate ((-7)/((-98)/2))/((-48)/48).
-1/7
(200/(-160))/(-10*6/(-1440))
-30
What is ((-476)/(-70))/(46/(-115))?
-17
Calculate (3484/2144)/(((-1)/2)/1).
-13/4
7/(-175)*4/(-4)*-5
-1/5
What is (500/(-900))/(5/(-2))?
2/9
(-3336)/139*98/(-84)
28
Calculate 10*((-25)/(-110))/(-5)*16/(-40).
2/11
What is the value of ((-24)/(-28)*(-69)/(-207))/((-36)/(-14))?
1/9
What is the value of (-2)/(-20)*3*(-5)/48*4?
-1/8
What is the value of ((-18)/195)/((-14)/(-637)*-7)?
3/5
Calculate ((-6)/30)/((-12)/(-580))*72/24.
-29
1*(4/(-12))/(2/(36/2))
-3
(-144)/(-32)*1*2/(-1)*-1
9
Evaluate ((-14)/12)/(-7)*141/94.
1/4
Calculate 10*(-37)/((-2442)/33).
5
What is the value of ((-12051)/(-130))/103*(-2)/3?
-3/5
Calculate 46/(-299)*(-416)/(-768).
-1/12
What is the value of (1/(-2))/((-8)/(-10)*(-605)/(-88))?
-1/11
((-179)/(-179))/(3*-83)*6
-2/83
What is (-8)/45*26/52*(-12)/8?
2/15
((-20)/920*-23)/((4/(-18))/(-2))
9/2
Calculate (26/((-16016)/330))/(3/24*6).
-5/7
Calculate (((-1456)/14)/(-26))/((-114)/(6/2)).
-2/19
What is the value of (-76)/(-19)*7/(-70)?
-2/5
(7/(-10))/(399/(-95))
1/6
What is the value of 3/((-3 | {
"pile_set_name": "DM Mathematics"
} |
lculate -462462969*3.
-1387388907
What is 4 times -517.0115?
-2068.046
6.693*0.043957
0.294204201
-349 * 14564
-5082836
Work out 0.1248 * 27950.
3488.16
Product of -82941252 and -0.2.
16588250.4
Product of 27.6 and 0.05457.
1.506132
Calculate 6.3*8.3563.
52.64469
59798 times -1885
-112719230
2.8196487 times -7
-19.7375409
2 * -192772.06
-385544.12
0.08875*0.0509
0.004517375
What is -347.015 times 22?
-7634.33
Product of 0.3 and 24329791.
7298937.3
0.96 * 697963
670044.48
Multiply 1259274.5 and -2.
-2518549
Multiply -14645344 and -5.
73226720
-3 times -158984179
476952537
-4 times -5082880.1
20331520.4
-3776954 times -0.3
1133086.2
3*21.45926
64.37778
Multiply -320991073 and -0.4.
128396429.2
What is 0.12 times 11091715?
1331005.8
Calculate -527*-0.99453.
524.11731
Calculate 188433*-0.048.
-9044.784
Work out 4 * -0.019124327.
-0.076497308
What is the product of 177914 and -2221?
-395146994
Multiply -0.08 and -47.82612.
3.8260896
Multiply -123574 and -0.21.
25950.54
Calculate -19914644*-2.
39829288
-377388.93 times 0.5
-188694.465
Calculate 0.6*62486.06.
37491.636
Calculate 0.436*-0.702.
-0.306072
Product of -6 and 138293.
-829758
-0.02 times 8114914
-162298.28
Product of 2784 and 1640.
4565760
-108783*-10
1087830
What is the product of 391.1226 and -1.2?
-469.34712
Multiply -9114.07 and 2.
-18228.14
What is 38864 times -190?
-7384160
-1.195457*-55
65.750135
Product of 4250 and 440.
1870000
45047*18013
811431611
Calculate 3.5497*-91.
-323.0227
What is the product of 5 and -2010.545?
-10052.725
Multiply -6 and -0.0744949.
0.4469694
Calculate 14241075*-1.
-14241075
Product of -27523 and 2967.
-81660741
55 * 605875
33323125
What is 103.092 times 48?
4948.416
-389456.45 * -0.4
155782.58
Work out 166911.832 * -0.3.
-50073.5496
0.5 times -2537952.66
-1268976.33
0.12 * -3.821596
-0.45859152
-11.87 times 176294
-2092609.78
What is the product of 65.9764 and 0?
0
What is -53429986 times -1?
53429986
27973825 times 11
307712075
Work out -5 * 80460.6.
-402303
What is 41779.2449 times 5?
208896.2245
Work out -146 * 5.648598.
-824.695308
Work out -1018.3 * -30.27.
30823.941
Work out 0.3 * -8194737.
-2458421.1
What is -227.6 times 43361?
-9868963.6
Calculate -0.00433*16.09.
-0.0696697
-77.883 * -2635
205221.705
246517.2 * 0.2
49303.44
Calculate 3151*-21.683.
-68323.133
What is -19976.92 times 859?
-17160174.28
Work out 6.3643076 * -0.3.
-1.90929228
What is 3549147 times 28?
99376116
1.3849*-96
-132.9504
407 * -18727
-7621889
Work out -0.058861653 * 0.
0
What is the product of -1 and -3269847?
3269847
-1583216*53.4
-84543734.4
What is the product of 664.3 and 67041?
44535336.3
Multiply 0.77 and -571234.
-439850.18
Work out -348.153 * -7.
2437.071
6*25018.5
150111
66708.5 times 631
42093063.5
What is 4 times -50423565?
-201694260
5339168.7*1
5339168.7
What is the product of 17.814 and 0.829?
14.767806
Multiply -9998882 and 1.
-9998882
Product of 5.7 and -0.4147747.
-2.36421579
Work out -0.2 * 719.41267.
-143.882534
9128334 times -23
-209951682
Multiply 31394 and -2957.
-92832058
0.25927 times 4897
1269.64519
-1486.54695*0.2
-297.30939
Work out 11666079 * -1.
-11666079
Multiply -0.4 and 214319.
-85727.6
-183 * 821427
-150321141
277.529 times -49
-13598.921
-2 times 9649982
-19299964
-719197 times -1.59
1143523.23
Multiply -0.3 and -3729791.
1118937.3
What is -9536935 times 0.2?
-1907387
1695.666 * 0.05
84.7833
-15047 times -224
3370528
Work out -6657 * 0.0153.
-101.8521
Work out -47804 * -10.102.
482916.008
Calculate 0.4*-4.0675013.
-1.62700052
Calculate 14312.997*4.
57251.988
What is 0.177426 times 1995?
353.96487
Calculate 4081*948.
3868788
Work out 66.472723 * -0.2.
-13.2945446
31.4191 times -2805
-88130.5755
-28.978 times 3.59
-104.03102
-906.26 times 141
-127782.66
Product of 3 and 180.49515.
541.48545
-14413*836
-12049268
Calculate 0.7418*-3.07.
-2.277326
2476727 * -4
-9906908
Product of 2.15 and 3154437.
6782039.55
What is the product of 10573 and -0.0798?
-843.7254
Multiply -127432 and -7.2.
917510.4
-344.5371*5
-1722.6855
What is 0.14329 times -803?
-115.06187
Work out 0.7687 * -1996.
-1534.3252
-0.045535 * -1.09
0.04963315
-1204.7 * 95.6
-115169.32
Product of -0.2 and -8250.8575.
1650.1715
-1.7 * 159838
-271724.6
Calculate 0.05924*0.2744.
0.016255456
1.538 * 6952
10692.176
Work out 0.67 * -3047.16.
-2041.5972
Calculate 0*3952433.
0
51.712 times 0.0281
1.4531072
What is the product of 6 and 154892898?
929357388
20.88*-3316
-69238.08
Calculate -2*6272110.
-12544220
Calculate 0.0027729*0.5.
0.00138645
Product of 0.5 and 223085.
111542.5
What is -10120 times 132.7?
-1342924
Work out -0.31 * -366058.8.
113478.228
Work out -1970216 * -106.
208842896
-2*-556161
1112322
Work out 910634.53 * -5.
-4553172.65
505*14591
7368455
What is the product of 0.72 and -1014357?
-730337.04
-348566*-0.285
99341.31
Product of 50237756 and 0.4.
20095102.4
Work out 0.168 * -82025.
-13780.2
Work out 4169197 * 5.
20845985
8 * 0.102553
0.820424
What is -1.07494 times 0.023?
-0.02472362
What is the product of -643.4 and -1021.8?
657426.12
What is the product of -109941 and -5?
549705
What is the product of -552 and 7071?
-3903192
-0.5*-16.6835
8.34175
Calculate -0.033*-4101.1.
135.3363
Calculate -4.738*-1929.
9139.602
-120825 * -0.235
28393.875
8837 times 0.00786
69.45882
-26.5057 times 14
-371.0798
Work out 10.6997225 * 0.2.
2.1399445
What is the product of -10682 and -74?
790468
Product of 45.912 and 8.96.
411.37152
-345*4.6932
-1619.154
Work out -67 * 210548.9.
-14106776.3
What is -86577 times 198.2?
-17159561.4
7272*-10568
-76850496
-812585 * -9
7313265
What is the product of 44154.6 and -0.532?
-23490.2472
What is 26239758 times 0.1?
2623975.8
Calculate -9937*-2.509.
24931.933
-55.92*-4223
236150.16
What is 768 times -0.104101?
-79.949568
Multiply 16.8 and 225982.
3796497.6
Product of -500.76 and 825.
-413127
What is 0.17 times -10273398?
-1746477.66
What is the product of 598 and -426322?
-254940556
What is -189743731 times 2?
-379487462
Multiply 0.1 and -2.875471.
-0.2875471
Product of 64.227724 and 0.04.
2.56910896
Product of 8950552 and -5.
-44752760
Calculate 6.25*5618.5.
35115.625
Product of 469 and 1.18178.
554.25482
What is -943 times -20373?
19211739
-5 * -7463134
37315670
What is -6.005257 times 40?
-240.21028
Calculate -0.4*-6223785.
2489514
Work out -540293 * 0.087.
-47005.491
Multiply 0.04 and 53.355.
2.1342
Calculate 1611408*-14.
-22559712
-115 times 1529512
-175893880
Multiply 83.86 and -2.19.
-183.6534
What is -925.88315 times -7?
6481.18205
Calculate -133.9*-3635.
486726.5
Multiply 0.2 and -10698255.
-2139651
1.7635493 times 0.4
0.70541972
Calculate 2405*-1.654.
-3977.87
Work out -6 * -789427.
4736562
Calculate 4.35*57636.
250716.6
What is -1.895294 times -0.1?
0.1895294
65 * 5471726
355662190
386*34345
13257170
What is -5 times 60973871?
-304869355
What is the product of 4 and 411280?
1645120
-217.4069 * -3
652.2207
-194 times -3414537
662420178
Multiply -3 and 1138192.
-3414576
-0.5*3579606
-1789803
What is -0.404 times 57.462?
-23.214648
Multiply 0.02 and 3687955.
73759.1
Product of -17.125 and -0.030477.
0.521918625
Calculate 0.05*14613780.
730689
What is 23 times 1908.556?
43896.788
30702.37 * 2.4
73685.688
Calculate -1167247*-0.91.
1062194.77
Work out -0.2 * -112.7911.
22.55822
Product of -62.60915 and 0.5.
-31.304575
Multiply -10.4 and 46478.
-483371.2
Product of 0.1 and -0.4884356.
-0.04884356
What is 18 times 263.3728?
4740.7104
Calculate -549*-430970.
236602530
Multiply -0.2 and -744051.
148810.2
Multiply -5.7 and -2603920.
14842344
-35044.3553 times 0.4
-14017.74212
Product of -0.09048 and 139.
-12.57672
What is -140 times -702.87?
98401.8
-1439*7655
-11015545
0.00203 times 0.124
0.00025172
Product of 0.2 and -1547580.8.
-309516.16
7*-39575.77
-277030.39
Product of -274101 and -944.
258751344
Multiply -0.5 and 10.853581.
-5.4267905
Work out -3604 * -8.53.
30742.12
Product of 0.2 and 3208991.
641798.2
Work out -11860 * 3.1429.
-37274.794
-37*-3415.343
126367.691
Product of 117.578598 and -0.1.
-11.7578598
Work out -25.344 * 583.8.
-14795.8272
What is 19 times -61709?
-1172471
Calculate 31455*-0.0027.
-84.9285
-1.5366 times 848
-1303.0368
-1097.35 times -0.01068
11.719698
0.2 * -2906369
-581273.8
Work out -16.93046 * 0.15.
-2.539569
What is the p | {
"pile_set_name": "DM Mathematics"
} |
Let y(k) = 292*k**2. Let m(c) be the second derivative of c**3/3 - 4*c - 34. Give m(y(x)).
584*x**2
Let d(w) = 7239*w**2. Let r(c) = -2*c**2 + 424*c. Calculate r(d(k)).
-104806242*k**4 + 3069336*k**2
Let t(a) = -5*a**2. Let y(v) = -128 + 143*v - 65*v - 74*v + 50. What is t(y(n))?
-80*n**2 + 3120*n - 30420
Let n(b) = -10*b. Let h(x) = -146598 + 146598 - 64*x**2. What is n(h(m))?
640*m**2
Let z(r) = 3*r + 271. Let f(w) = -920*w**2 - 2*w + 2. Give z(f(u)).
-2760*u**2 - 6*u + 277
Let m(t) = 2*t + 4. Let v(h) = -h + 2422544. Give m(v(n)).
-2*n + 4845092
Suppose -s + 30 = 2*v, 3*s - 40 = -2*v - 2. Let c(p) = 3*p + p + 39*p - 6*p - v*p. Let q(a) = -3*a**2. Determine q(c(k)).
-1728*k**2
Let g(r) = -19*r**2. Let i(h) = h**2. Let k be (3 - 4) + 1 + 2177. Let l(w) = k*w - 2177*w - w**2 + 0*w**2. Let d(c) = -3*i(c) - 4*l(c). Calculate d(g(y)).
361*y**4
Let h(n) = -1232*n**2 + 5*n + 1. Let x(c) = c**2 - 5*c - 1. Let z(v) = h(v) + x(v). Let l(a) = 7*a**2. Give l(z(s)).
10607527*s**4
Let l be 2/(-4)*1138*(-9 + 4). Let a(o) = -2845*o + 20*o**2 + l*o. Let d(j) = 3*j - 5*j + 2*j - j. Give d(a(u)).
-20*u**2
Let r be (33/(-5))/((-9672)/(-880) + -11). Let n(v) = -726 - 6*v**2 + r. Let k(i) = -4*i**2. Calculate k(n(l)).
-144*l**4
Let d(g) = 67*g**2 - 129*g**2 + 64*g**2. Suppose 4*t = -6*t + 2*t. Let q(i) = 23*i + 0 + t - 17*i. Calculate q(d(f)).
12*f**2
Let p(o) = 8*o + 19. Let f(y) be the second derivative of 3*y**3/2 + 4744*y. Calculate p(f(i)).
72*i + 19
Let f(l) be the first derivative of -l**3/3 - 398. Let c(j) = -308*j. Give c(f(w)).
308*w**2
Let p(c) = -529*c - 16 - 36 + 50. Let j(r) = r**2. Determine j(p(d)).
279841*d**2 + 2116*d + 4
Let w(d) = -51*d**2 + 26. Let f(h) = h**2 - 24. Determine f(w(a)).
2601*a**4 - 2652*a**2 + 652
Let y(t) = -t**2 - 15*t - 4. Let b be y(-13). Let i(u) = 2*u + 22 - b. Let n(f) = 44*f - 58*f - 17*f**2 + 5*f + 9*f. What is n(i(q))?
-68*q**2
Let w(q) = 5*q**2. Let m = 202 - 138. Let u(s) = 72*s - 144*s + m*s. What is u(w(v))?
-40*v**2
Suppose 9*k - 12*k = 21. Let q be (k - (-34)/4)*(-8)/(-6). Let z(g) = 2*g + q*g - 2*g + 6*g. Let x(b) = -2*b. What is x(z(j))?
-16*j
Let k(d) be the third derivative of -19/4*d**4 + 1/6*d**3 + 2*d + 2*d**2 + 0. Let y(t) = -2*t**2. What is k(y(f))?
228*f**2 + 1
Let m(p) = -8*p + 233. Let r(o) be the third derivative of o**4/8 - 196*o**2 - 2*o. What is m(r(l))?
-24*l + 233
Let k(y) = -264717825*y**2. Let j(r) = r**2. Calculate k(j(a)).
-264717825*a**4
Let r(k) = 8*k. Let s(z) = -810*z + 1514. Give s(r(f)).
-6480*f + 1514
Suppose 0 = 2*q - 2*k - 14, 3*k + 2 = -q - 3. Let m(s) = 2*s - 7*s + q*s. Let f(y) = -2*y**2. Let z(u) = 5*u**2. Let l(r) = -7*f(r) - 2*z(r). Calculate m(l(w)).
-4*w**2
Let j(b) = 181*b**2 + 21. Let x(p) = 1690*p**2 + 195. Let m(k) = 65*j(k) - 7*x(k). Let h(d) = 12*d**2. What is h(m(s))?
50700*s**4
Let d be ((-14)/(-21))/((-1)/(-6)). Let l(c) = 0*c + d*c + 4*c - 6*c - 3*c. Let o(t) = -5*t - 6. Determine l(o(z)).
5*z + 6
Let c(m) be the third derivative of -11*m**4/8 + m**3/3 - 979*m**2. Let d(x) = -38*x. What is c(d(h))?
1254*h + 2
Let c(u) = -3*u**2. Let t be (-1)/((-3)/(-12)) - (1 + -3). Let j = 0 - t. Let i(g) = 3 - 3 - 4*g**2 + j*g**2. Calculate c(i(n)).
-12*n**4
Let z(n) = 6187762*n**2. Let h(d) = 32*d**2. Determine h(z(w)).
1225228754196608*w**4
Let b(d) = 4*d. Let s(o) = -65805*o**2. What is b(s(h))?
-263220*h**2
Let j(u) be the second derivative of -u**3/6 + 624*u. Let p(t) = -6*t - 1. Let s(m) = -m + 1. Let d(k) = -p(k) - s(k). Determine d(j(z)).
-7*z
Let n(t) = -2*t. Let u(o) be the third derivative of -4*o**5/15 - 8*o**3/3 + 1678*o**2. What is n(u(k))?
32*k**2 + 32
Let b(c) = 3*c**2 + 363. Let r(x) = 5*x**2 - 23*x. Give r(b(g)).
45*g**4 + 10821*g**2 + 650496
Suppose 19*f - 3085 = -3218. Let m(k) = 3*k + 4. Let c(r) = -7 - 7*r + 0 + 0*r. Let x(a) = f*m(a) - 4*c(a). Let w(d) = 5*d**2. Calculate x(w(i)).
35*i**2
Let i(p) = 4697*p**2 + 4026. Let h(q) = 4*q**2 + 3. Let s(d) = 4026*h(d) - 3*i(d). Let t(x) = -2*x**2. Determine t(s(n)).
-8104338*n**4
Let v(x) = -21*x. Let o(u) = -89533*u**2 + 142*u + 89535*u**2 + 50*u. Determine o(v(j)).
882*j**2 - 4032*j
Let s(x) = -351680*x + 63. Let r(k) = 2*k. Determine r(s(o)).
-703360*o + 126
Let d be 12/(-2) + ((-18)/15)/((-12)/280). Let g(j) be the first derivative of 0*j**2 + d + 0*j - 2/3*j**3. Let v(k) = 9*k**2 - 3*k. Give v(g(f)).
36*f**4 + 6*f**2
Let n(i) = 11*i - 10556. Let z(v) = -42*v. Calculate z(n(q)).
-462*q + 443352
Let a(v) = 3*v - 225. Let b(q) be the first derivative of -3*q**2 + 282. What is a(b(z))?
-18*z - 225
Let n(t) = -14 - 24*t - 27*t + 91*t - 15*t. Let a(h) = -h. What is n(a(d))?
-25*d - 14
Let s(d) = -3. Suppose 0 = 23*y - 54*y - 93. Let n(w) = w**2 - w + 5 + w. Let o(b) = y*n(b) - 5*s(b). Let k(u) = 4*u**2. Determine k(o(t)).
36*t**4
Let f(u) = -60992124*u. Let o(g) = -4*g. What is o(f(l))?
243968496*l
Let o(y) = 460340292*y. Let j(q) = q**2. What is j(o(z))?
211913184438645264*z**2
Let l(w) = -2*w**2. Let p(m) = -m - 2604992. What is p(l(j))?
2*j**2 - 2604992
Let m(c) = -110*c. Let g(o) be the second derivative of -o**3/3 - 30*o + 16. What is g(m(v))?
220*v
Let i(l) be the first derivative of -5*l**2/2 + 62*l - 1002. Let x(r) = 5*r**2. Calculate i(x(a)).
-25*a**2 + 62
Suppose 407 = 7*p + 78. Let q(v) = p*v - 19*v - 15*v. Let t(x) = x - 2*x - 3*x + 3*x. Give t(q(o)).
-13*o
Let g(w) = 319*w**2 - 115*w - 22. Let t(p) = 106*p**2 - 42*p - 8. Let u(s) = -4*g(s) + 11*t(s). Let x(r) = 32*r**2. Calculate u(x(y)).
-112640*y**4 - 64*y**2
Let h(l) = 12529*l. Let x(p) = -4899*p. Determine x(h(i)).
-61379571*i
Let l(w) be the third derivative of -w**4/24 - 21*w**2 + 214*w - 2. Let s(b) = 174*b + 5. Let q(j) = -j - 1. Let y(u) = 5*q(u) + s(u). Calculate y(l(z)).
-169*z
Let a(s) = -5973*s**2. Let b(l) be the third derivative of -l**4/24 - 41*l**2 + 25*l. Calculate b(a(z)).
5973*z**2
Let y(h) = -3*h. Let j = 256 - -179. Suppose -4*f + 20 = 2*v, -4*f - 4*v = -22 - 6. Let n(c) = -f*c - j + 435. Determine y(n(t)).
9*t
Let m(s) = 2*s. Let r be 1*(182 + -1) + (21 - 20). Let b(w) = -r*w - 181*w + 358*w**2 + 363*w. What is m(b(d))?
716*d**2
Let b be 1/24*6*1132. Let m(y) = -b*y + 597*y - 295*y. Let j(l) = -l. Calculate m(j(v)).
-19*v
Let d(q) = -4988842*q**2 - 4. Let f(o) = 2*o**2. Calculate d(f(g)).
-19955368*g**4 - 4
Let a(m) be the third derivative of 31*m**5/60 - 947*m**2. Let t(h) = 2*h + 6. Determine t(a(b)).
62*b**2 + 6
Let g(s) = 19*s. Let u(f) be the second derivative of f**4/12 + f**3 - 13*f + 30. Calculate g(u(w)).
19*w**2 + 114*w
Let d(r) = 5*r. Let y(g) = 3573706*g. Give y(d(m)).
17868530*m
Let b(y) = 3*y. Let c(p) = 6264786*p. Determine c(b(m)).
18794358*m
Let d(n) = 0*n + 2*n - 6*n + 3*n. Let h(t) = -6*t. Suppose -208 + 200 = -4*o. Let u(y) = o*h(y) - 11*d(y). Let v(w) = 4*w**2. Give u(v(a)).
-4*a**2
Let j(l) be the third derivative of -13*l**5/30 - l**3/2 + 4*l**2 + 443*l. Let t(q) = -2*q**2 + 4. Let z(r) = 1. Let m(b) = t(b) - 4*z(b). What is j(m(h))?
-104*h**4 - 3
Let w(o) = -13*o**2. Let g(p) = 2*p + 7. Let y(i) be the third derivative of i**4/24 + 5*i**3/6 + 75*i**2. Let x(u) = 5*g(u) - 7*y(u). Give x(w(k)).
-39*k**2
Let m(v) = 438*v. Let p(a) = -1293*a**2 - 2. Determine p(m(c)).
-248054292*c**2 - 2
Let n(s) = 3*s**2. Let t = 228 + -228. Let d(x) be the second derivative of -12*x - 1/6*x**3 + 0*x**2 + t. What is n(d(c))?
3*c**2
Let u(x) = 13*x + 2*x - 10*x - 9*x. Let d(r) = 64*r**2. Determine d(u(g)).
1024*g**2
Let p(j) be the first derivative of 8 + 1/3*j**3 + 0*j + 0*j**2. Let w(k) = -2*k + 83. Give p(w(m)).
4*m**2 - 332*m + 6889
Suppose -2*c = 3*c + 10, 0 = 3*o + 4*c - 55. Let s(a) = 13 + 22 + o + 2*a - 57. Let h(z) = 4*z. What is s(h(d))?
8*d - 1
Let x(o) = 9*o + 0*o - 8*o + 0*o + o. Let t(l) = -3*l - 3*l + 6*l - 107*l**2. Determine t(x(y)).
-428*y**2
Let i(g) = 1977*g. Let r(o) be the second derivative of o**4/12 - 766*o - 1. What is r(i(n))?
3908529*n**2
Let r(j) = -130*j. Let w(f) = -f**3 - 6*f**2 + 18*f + 18. Let b be w(-8). Let g(h) = 45372 - 45372 + b*h. Determine r(g(s)).
-260*s
Let h(t) = 934*t**2 - 42*t. Let o(v) = v**2 - 21*v. Let g(q) = -h(q) + 2*o(q). Let m(j) = 6*j. Determine g(m(k)).
-33552*k**2
Let r(q) = 2*q. Let l be 1*-1*(-2 + 3). Let v(b) = -1. Let n(z) be the first derivative of 2*z**2 + 4*z | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 1306879.
7, 149, 179
What are the prime factors of 108186?
2, 3, 13, 19, 73
List the prime factors of 7141727.
131, 54517
What are the prime factors of 1040336?
2, 11, 23, 257
What are the prime factors of 272106?
2, 3, 5039
What are the prime factors of 1106775?
3, 5, 4919
List the prime factors of 23738428.
2, 7, 499, 1699
List the prime factors of 7472.
2, 467
List the prime factors of 860831.
157, 5483
List the prime factors of 1089889.
67, 16267
What are the prime factors of 5143307?
13, 383, 1033
What are the prime factors of 2164410?
2, 3, 5, 24049
List the prime factors of 435587.
103, 4229
List the prime factors of 214902.
2, 3, 11939
What are the prime factors of 556080?
2, 3, 5, 7, 331
List the prime factors of 25449.
3, 17, 499
What are the prime factors of 17826901?
17826901
List the prime factors of 227497.
227497
What are the prime factors of 16506606?
2, 3, 2751101
What are the prime factors of 414664?
2, 17, 3049
What are the prime factors of 19564455?
3, 5, 47, 27751
List the prime factors of 260134.
2, 7, 17, 1093
What are the prime factors of 136269?
3, 7, 103
List the prime factors of 351363.
3, 173, 677
What are the prime factors of 2388933?
3, 29, 113
What are the prime factors of 663367?
67, 9901
What are the prime factors of 6407708?
2, 17, 23, 241
List the prime factors of 204340.
2, 5, 17, 601
List the prime factors of 3317883.
3, 1105961
List the prime factors of 150145.
5, 30029
What are the prime factors of 25379677?
409, 62053
What are the prime factors of 4690603?
67, 70009
List the prime factors of 294910.
2, 5, 7, 11, 383
What are the prime factors of 1304754?
2, 3, 11, 53, 373
List the prime factors of 2519381.
19, 97, 1367
List the prime factors of 387743.
387743
List the prime factors of 1137538.
2, 17, 33457
List the prime factors of 2241618.
2, 3, 47, 7949
What are the prime factors of 2323430?
2, 5, 283, 821
List the prime factors of 888964.
2, 17, 769
What are the prime factors of 274182?
2, 3, 45697
What are the prime factors of 241914?
2, 3, 23, 1753
List the prime factors of 685906.
2, 13, 23, 31, 37
What are the prime factors of 961844?
2, 13, 53, 349
What are the prime factors of 321496?
2, 7, 5741
What are the prime factors of 476617?
73, 6529
What are the prime factors of 920884?
2, 230221
What are the prime factors of 8669217?
3, 2889739
What are the prime factors of 5331634?
2, 7, 11, 89, 389
List the prime factors of 1084362.
2, 3, 17, 10631
List the prime factors of 1378143.
3, 13, 11779
List the prime factors of 26309945.
5, 5261989
List the prime factors of 361691.
11, 131, 251
List the prime factors of 8040682.
2, 13, 23789
List the prime factors of 337395.
3, 5, 83, 271
What are the prime factors of 184519?
37, 4987
List the prime factors of 1305319.
19, 23, 29, 103
List the prime factors of 1140355.
5, 131, 1741
What are the prime factors of 16724812?
2, 13, 321631
List the prime factors of 10379426.
2, 43, 120691
List the prime factors of 1571431.
337, 4663
List the prime factors of 312752.
2, 11, 1777
List the prime factors of 230649.
3, 76883
What are the prime factors of 233499?
3, 7, 11119
List the prime factors of 3405335.
5, 681067
What are the prime factors of 116524?
2, 29131
What are the prime factors of 31196914?
2, 7, 2228351
List the prime factors of 214088.
2, 7, 3823
What are the prime factors of 3072320?
2, 5, 9601
What are the prime factors of 40717?
19, 2143
What are the prime factors of 440050?
2, 5, 13, 677
What are the prime factors of 1179445?
5, 235889
What are the prime factors of 2200186?
2, 1100093
List the prime factors of 3337.
47, 71
What are the prime factors of 13264204?
2, 19, 37, 53, 89
What are the prime factors of 162098?
2, 81049
List the prime factors of 104442.
2, 3, 13, 103
What are the prime factors of 271967?
271967
What are the prime factors of 826389?
3, 127, 241
What are the prime factors of 222784?
2, 59
What are the prime factors of 517243?
517243
What are the prime factors of 21842790?
2, 3, 5, 17, 42829
What are the prime factors of 8930869?
29, 547, 563
What are the prime factors of 243750?
2, 3, 5, 13
List the prime factors of 160419.
3, 7, 7639
What are the prime factors of 2963157?
3, 59, 16741
List the prime factors of 2556954.
2, 3, 47351
List the prime factors of 4804486.
2, 593, 4051
List the prime factors of 28382103.
3, 97, 10837
What are the prime factors of 3583939?
3583939
List the prime factors of 372083.
271, 1373
List the prime factors of 1780304.
2, 111269
List the prime factors of 242062.
2, 127, 953
List the prime factors of 3849283.
61, 63103
List the prime factors of 245394.
2, 3, 13633
What are the prime factors of 11244017?
877, 12821
What are the prime factors of 1757589?
3, 585863
What are the prime factors of 856991?
337, 2543
List the prime factors of 4657171.
4657171
List the prime factors of 255331.
311, 821
List the prime factors of 4090977.
3, 11, 31, 43
What are the prime factors of 7263305?
5, 7, 207523
What are the prime factors of 139023?
3, 19, 271
What are the prime factors of 16893833?
11, 1535803
List the prime factors of 10002358.
2, 17, 37, 7951
List the prime factors of 1221543.
3, 135727
List the prime factors of 2406281.
1193, 2017
What are the prime factors of 272740?
2, 5, 13, 1049
What are the prime factors of 1860114?
2, 3, 310019
What are the prime factors of 230636?
2, 7, 8237
List the prime factors of 94975.
5, 29, 131
List the prime factors of 6520675.
5, 7, 5323
What are the prime factors of 4693197?
3, 1564399
List the prime factors of 4232978.
2, 73, 79, 367
What are the prime factors of 9778556?
2, 2444639
What are the prime factors of 969198?
2, 3, 163, 991
List the prime factors of 373279.
53, 7043
What are the prime factors of 275055?
3, 5, 11, 1667
List the prime factors of 8378656.
2, 11, 13, 1831
What are the prime factors of 260258?
2, 37, 3517
List the prime factors of 2253847.
2253847
What are the prime factors of 456163?
317, 1439
List the prime factors of 11605156.
2, 23, 126143
What are the prime factors of 1213360?
2, 5, 29, 523
List the prime factors of 149555.
5, 7, 4273
What are the prime factors of 1651296?
2, 3, 103, 167
What are the prime factors of 2192509?
11, 37, 5387
What are the prime factors of 5293382?
2, 269, 9839
List the prime factors of 4007748.
2, 3, 331, 1009
What are the prime factors of 8589737?
13, 223, 2963
What are the prime factors of 56643?
3, 79, 239
What are the prime factors of 182364?
2, 3, 7, 13, 167
What are the prime factors of 263695?
5, 23, 2293
List the prime factors of 1123560.
2, 3, 5, 3121
List the prime factors of 1402330.
2, 5, 17, 73, 113
List the prime factors of 1624432.
2, 101527
What are the prime factors of 129729?
3, 83, 521
List the prime factors of 2511782.
2, 7, 13, 37, 373
List the prime factors of 65357.
65357
List the prime factors of 5633383.
7, 114967
List the prime factors of 614794.
2, 307397
What are the prime factors of 3641177?
181, 20117
List the prime factors of 554531.
554531
List the prime factors of 405696.
2, 3, 2113
What are the prime factors of 950597?
283, 3359
List the prime factors of 939273.
3, 67, 4673
List the prime factors of 11469288.
2, 3, 17, 28111
List the prime factors of 24887701.
19, 71, 971
List the prime factors of 1796320.
2, 5, 103, 109
List the prime factors of 3202224.
2, 3, 66713
What are the prime factors of 136932?
2, 3, 11411
List the prime factors of 458842.
2, 61, 3761
List the prime factors of 138969.
3, 5147
What are the prime factors of 18135590?
2, 5, 11, 173, 953
What are the prime factors of 2001815?
5, 149, 2687
List the prime factors of 10128569.
11, 29, 31751
List the prime factors of 3429394.
2, 73, 83, 283
List the prime factors of 1502497.
53, 28349
List the prime factors of 35526330.
2, 3, 5, 7, 18797
What are the prime factors of 993146?
2, 7, 11, 6449
What are the prime factors of 32254755?
3, 5, 13, 251, 659
What are the prime factors of 6009422?
2, 43, 69877
List the prime factors of 193867.
23, 8429
List the prime factors of 7080941.
7, 23, 61, 103
What are the prime factors of 4152030?
2, 3, 5, 138401
List the prime factors of 132679.
132679
What are the prime factors of 177846?
2, 3, 29641
List the prime factors of 86992.
2, 5437
What ar | {
"pile_set_name": "DM Mathematics"
} |
.
1730000
What is -36.02763019 rounded to 2 dps?
-36.03
What is 8776.00834 rounded to one dp?
8776
What is 0.0060305932 rounded to five decimal places?
0.00603
What is -123.227794 rounded to the nearest one hundred?
-100
Round -369058.874 to the nearest ten thousand.
-370000
What is -0.0000013256318 rounded to six dps?
-0.000001
Round 14.63452457 to two decimal places.
14.63
What is -0.0004458168182 rounded to 6 decimal places?
-0.000446
Round -1.34749001 to 1 decimal place.
-1.3
What is -0.014126139 rounded to three decimal places?
-0.014
Round 1.2409791 to one decimal place.
1.2
What is 0.0001491806188 rounded to seven decimal places?
0.0001492
What is -42294913.1 rounded to the nearest one hundred thousand?
-42300000
Round 0.0958666333 to three dps.
0.096
Round 16631104.7 to the nearest 1000.
16631000
Round -93.66988253 to 0 dps.
-94
Round 0.0000027890364135 to 7 decimal places.
0.0000028
Round 73675.3883 to the nearest one hundred.
73700
What is 31.42132749 rounded to the nearest integer?
31
What is 171093.7944 rounded to the nearest 1000?
171000
Round 506.693215 to the nearest 10.
510
What is -0.00824812058 rounded to 5 decimal places?
-0.00825
What is 13676.018733 rounded to the nearest one thousand?
14000
What is 0.00000024941907 rounded to seven dps?
0.0000002
Round 0.0000461850767 to five decimal places.
0.00005
What is -0.71001243 rounded to four decimal places?
-0.71
Round 0.0331729854 to 6 decimal places.
0.033173
Round -5501898040 to the nearest one hundred thousand.
-5501900000
What is 31347630920 rounded to the nearest one million?
31348000000
What is 3989.599083 rounded to the nearest 100?
4000
Round -0.0009009724 to six decimal places.
-0.000901
Round -0.000013738107 to six decimal places.
-0.000014
Round -423118.27 to the nearest 10000.
-420000
Round 0.00000240135449 to seven dps.
0.0000024
Round -32354010388 to the nearest 100000.
-32354000000
Round 663611.309 to the nearest ten.
663610
Round -395.6749 to 1 dp.
-395.7
Round 170.09881 to the nearest ten.
170
Round -1.602704483 to 1 dp.
-1.6
Round 0.004166265177 to 7 decimal places.
0.0041663
Round 95147770 to the nearest one hundred thousand.
95100000
What is 810315.9 rounded to the nearest 1000000?
1000000
What is 14.2645643 rounded to 3 decimal places?
14.265
Round 0.00002740275807 to 7 decimal places.
0.0000274
Round 0.3265869119 to 4 decimal places.
0.3266
What is -0.00741301999 rounded to 4 decimal places?
-0.0074
Round 4291.1041 to the nearest one hundred.
4300
What is -1329.49259 rounded to the nearest one hundred?
-1300
Round -0.0004071153153 to 5 decimal places.
-0.00041
What is -6221.774869 rounded to the nearest 10?
-6220
What is 13228.0041 rounded to the nearest 100?
13200
Round 1018.85674 to the nearest 10.
1020
Round -0.071019099 to two decimal places.
-0.07
What is 7.8412039 rounded to three decimal places?
7.841
Round 9086577.104 to the nearest one million.
9000000
Round -37.733235 to 2 decimal places.
-37.73
What is 498827.8272 rounded to the nearest 100?
498800
What is -0.35459229 rounded to 3 decimal places?
-0.355
Round 2554.575898 to zero decimal places.
2555
What is -0.00001225700702 rounded to 7 dps?
-0.0000123
What is -32123769660 rounded to the nearest one million?
-32124000000
What is 0.013598324 rounded to 4 dps?
0.0136
Round 165.2676486 to 3 dps.
165.268
Round 0.221818014 to 5 dps.
0.22182
Round -317.4567 to the nearest one hundred.
-300
Round 31.987519 to zero dps.
32
What is -93244.01338 rounded to the nearest 100?
-93200
What is 136.5235552 rounded to one dp?
136.5
Round 7.3773644 to 3 decimal places.
7.377
Round 93457390 to the nearest 100000.
93500000
Round -3861092210 to the nearest 100000.
-3861100000
What is 63808479 rounded to the nearest 1000000?
64000000
Round 46241028 to the nearest one hundred thousand.
46200000
What is -246910.3946 rounded to the nearest one thousand?
-247000
Round 0.001250682671 to four decimal places.
0.0013
Round -10.30774926 to 1 decimal place.
-10.3
What is 295333889 rounded to the nearest ten thousand?
295330000
What is 5938631.6 rounded to the nearest 10000?
5940000
Round -191224.342 to the nearest one thousand.
-191000
What is -2.33835317 rounded to one dp?
-2.3
Round 0.000000383100588 to 7 dps.
0.0000004
What is 0.123873498 rounded to three dps?
0.124
What is 660.429452 rounded to one decimal place?
660.4
What is -83.515504 rounded to two decimal places?
-83.52
Round 0.69294978 to two dps.
0.69
Round -0.000101194026 to 5 decimal places.
-0.0001
Round -215.4788371 to 1 decimal place.
-215.5
Round -385624.247 to the nearest 100.
-385600
Round 5484.59628 to the nearest ten.
5480
Round 1.4243677519 to 5 dps.
1.42437
What is -4.33421213 rounded to 3 dps?
-4.334
Round 0.1103331856 to four decimal places.
0.1103
Round 607.67807 to the nearest 100.
600
Round -836490.07 to the nearest 100.
-836500
What is 12.7019016 rounded to 2 dps?
12.7
Round 0.00000073820428 to 5 dps.
0
What is 3966934835 rounded to the nearest 100000?
3966900000
Round 112.9786455 to two dps.
112.98
What is -0.00031853688 rounded to 7 decimal places?
-0.0003185
Round 0.00850363495 to 3 dps.
0.009
Round -113099290.6 to the nearest 100000.
-113100000
What is 0.732440163 rounded to three dps?
0.732
What is 1.174959212 rounded to 3 dps?
1.175
What is 9437604.5 rounded to the nearest 1000000?
9000000
Round -0.34561358 to three decimal places.
-0.346
What is 0.012233879 rounded to two dps?
0.01
What is -231800988.3 rounded to the nearest ten thousand?
-231800000
Round 0.00000854749285 to six decimal places.
0.000009
Round -2126283257 to the nearest one million.
-2126000000
Round 0.5931563848 to 1 decimal place.
0.6
What is -60268.532 rounded to the nearest 10000?
-60000
What is 0.02825562353 rounded to four dps?
0.0283
What is 0.01385674352 rounded to 4 dps?
0.0139
Round -1.67945039 to 1 dp.
-1.7
Round -33060.3378 to the nearest ten.
-33060
Round -66.2151369 to one dp.
-66.2
What is -0.0000712622507 rounded to 7 decimal places?
-0.0000713
What is -0.0001301786677 rounded to six dps?
-0.00013
Round -107.725831 to zero dps.
-108
What is -0.01035833735 rounded to 6 decimal places?
-0.010358
Round 2120.49785 to the nearest 100.
2100
Round 5.77371623 to 3 decimal places.
5.774
What is -1626.16222 rounded to zero dps?
-1626
Round -0.0000179554448 to five decimal places.
-0.00002
What is -5571.30977 rounded to the nearest ten?
-5570
What is -175210859 rounded to the nearest one million?
-175000000
What is 1317826.397 rounded to the nearest one hundred thousand?
1300000
What is -5208174100 rounded to the nearest 100000?
-5208200000
Round 0.00476086133 to 2 decimal places.
0
Round 0.000263068044 to four dps.
0.0003
Round 8.16246513 to the nearest 10.
10
What is 18868.432 rounded to the nearest one hundred?
18900
What is -820551.26 rounded to the nearest one thousand?
-821000
Round -139732.9415 to the nearest 100.
-139700
What is 52624.22579 rounded to the nearest 1000?
53000
What is 2140.800707 rounded to the nearest 100?
2100
What is 522.5471 rounded to the nearest ten?
520
What is -0.000004669260317 rounded to 7 decimal places?
-0.0000047
Round 0.010074049 to two dps.
0.01
What is -1989.76852 rounded to 0 decimal places?
-1990
What is 0.0003709306483 rounded to six decimal places?
0.000371
What is 0.000477103839 rounded to six decimal places?
0.000477
What is -0.00042913251 rounded to 4 decimal places?
-0.0004
Round 0.086372384 to one decimal place.
0.1
Round -0.0000006157522 to seven dps.
-0.0000006
Round 0.0000154292762 to 4 dps.
0
What is 44817.1738 rounded to the nearest integer?
44817
What is 10741192.91 rounded to the nearest 100?
10741200
Round -0.00000618543121 to seven decimal places.
-0.0000062
What is 0.0000569629936 rounded to seven decimal places?
0.000057
Round -26946813 to the nearest one million.
-27000000
What is -494.565965 rounded to the nearest one hundred?
-500
Round 4958.7228 to one decimal place.
4958.7
Round -0.2471428257 to 2 decimal places.
-0.25
Round 808.645254 to the nearest 10.
810
Round -10949236.503 to the nearest 100.
-10949200
What is 5079.0076 rounded to the nearest one thousand?
5000
Round 12.577566 to the nearest 10.
10
What is 0.61009321 rounded to three dps?
0.61
What is 81617663.1 rounded to the nearest 1000000?
8200 | {
"pile_set_name": "DM Mathematics"
} |
- 25 = s*r - 10. Put r, -1, 3 in descending order.
3, -1, r
Suppose 14*w = 15*w, -4*h + 3*w = -12. Suppose 0 = -0*j + 4*j. Sort -2, j, h in descending order.
h, j, -2
Let g(p) = 4*p - 33. Let x be g(8). Put 4, 11, x, -2 in increasing order.
-2, x, 4, 11
Suppose -6*m = -0*m - 24. Let o be ((-6)/5)/(6/20). Let h be (-2)/(-4) - 6/o. Put -5, m, h in descending order.
m, h, -5
Suppose 3*c + 1 = 7. Let a be (-3 - 1/(-1))/c. Let f = 0.2 - 0.3. Put a, 1/5, f in decreasing order.
1/5, f, a
Let h(u) = 2*u + 19. Let r be h(-9). Put r, -3, -4 in decreasing order.
r, -3, -4
Let z(c) = c**2 - 16*c - 16. Let p be z(17). Put p, 3, -1 in decreasing order.
3, p, -1
Let v = 133/3 - 44. Let s = v - -1/6. Let r = 6 + -2. Sort -0.5, r, s in decreasing order.
r, s, -0.5
Let x(u) = 2*u + 2. Let h be x(2). Suppose -h*n + 2*n = 20. Let z be (-28)/(-42)*(-6)/4. Sort n, z, 3.
n, z, 3
Let h(f) = f**3 - 13*f**2 - f + 14. Let r be h(13). Put 5, r, -5, -3 in decreasing order.
5, r, -3, -5
Let x = -5770/9 + 640. Sort 4, -4, x.
-4, x, 4
Let u = 6 - 7. Let v = -24 + 214/9. Sort u, v, 3.
u, v, 3
Let g = -0.526 - -0.026. Let z = -2 + 0. Let j = z - 1. Put j, g, 2/23 in increasing order.
j, g, 2/23
Let r be (-40)/12*24/(-10). Let h be (-1 - -7) + r + -10. Put 1/4, h, 2 in decreasing order.
h, 2, 1/4
Let f = -4 - -8. Suppose -2*n = -f*v + 22, -3*v - v + 4*n + 24 = 0. Suppose l + 0 = -5. Sort 1, l, v in increasing order.
l, 1, v
Let d(v) = -v - 3. Let j be d(-8). Sort j, -2, 2 in ascending order.
-2, 2, j
Suppose -1 = -l + 4*a, -4*l + 4*a - 11 = -3. Let h be 0 + 94/(-30) - l. Sort -0.5, h, -0.4.
-0.5, -0.4, h
Suppose -y = x + 5, 3*y + y - 3*x + 6 = 0. Put -4, y, -14 in decreasing order.
y, -4, -14
Let c(t) = t**3 - 4*t**2 - 4*t - 3. Let b be c(5). Let y = 8 - 5. Suppose 0 = -5*g + y*g. Put 1, b, g in decreasing order.
b, 1, g
Let x = 22 + -22.9. Let d = 0.01 - 0.11. Let l = x + d. Put l, -2/5, -0.5 in decreasing order.
-2/5, -0.5, l
Let b = -0.7 - 2.3. Let l = -0.23 + -6.17. Let o = -6 - l. Put o, -4, b in increasing order.
-4, b, o
Let x(v) = -v - 5. Let d be x(-9). Suppose 21 = -5*s - d. Let n = s - -2. Put -1, 4, n in increasing order.
n, -1, 4
Let t(q) = q**2 + 12*q + 11. Let a be t(-11). Let o be (-1 - 1) + 2 - -3. Suppose -7*l + o*l = a. Sort l, 4, 3 in ascending order.
l, 3, 4
Let f = 19 - -2. Let n = -19 + f. Put n, 5, -2/11 in ascending order.
-2/11, n, 5
Let t = 9.3 - 1.3. Let c = t + -3. Sort -1/3, c, 1.
-1/3, 1, c
Let t = 0.4 - 0.4. Let l be -4 + (4 + -1 - 2). Sort -1, t, l in descending order.
t, -1, l
Let n = -127 + 887/7. Let l = -0.7 + 0.7. Put l, n, -0.5 in increasing order.
-0.5, n, l
Let f = 29 - 31. Put -15, f, 1/11 in descending order.
1/11, f, -15
Let a = -81 - -85. Sort 72, -2, a, 0 in increasing order.
-2, 0, a, 72
Let o be 4/2 + -5 + 1. Let g = 1 + o. Put -4, g, 3 in increasing order.
-4, g, 3
Let y be (-3)/108 + (-2)/(-8). Let p = 0.025 + 0.375. Sort p, y, -2/21 in increasing order.
-2/21, y, p
Suppose -3*w + 6*w + 1 = i, -w - 11 = 5*i. Let z be 3/(-3) - i*3. Put -1, z, 0 in descending order.
z, 0, -1
Let l be 5/2*(-1)/(-15). Let v be ((-1)/(-2))/((-2)/8). Let c = 116 - 116.5. Sort c, v, l.
v, c, l
Let j be ((-8)/3)/(6/1). Sort -1/10, -0.2, j.
j, -0.2, -1/10
Let q be 3/(-9)*(4 - 7). Let f(r) = r**3 + 3*r**2 - 5*r + 1. Let a be f(-4). Sort q, a, -4.
-4, q, a
Let i(f) = -f**2 - f + 1. Let y be i(-3). Let q = -3 + 3. Sort q, y, 2 in increasing order.
y, q, 2
Let t = -6 - -3. Let z be (-11)/55*(-1 + -1*4). Put z, t, 5 in increasing order.
t, z, 5
Let p = -21.2 - -21. Let i be 2/(-3)*9/(-15). Put p, i, 2/7 in decreasing order.
i, 2/7, p
Suppose 0 = -5*v + 3 + 12. Suppose 4*o - 1 - 3 = 0. Let t(f) = -2*f**2 - 1. Let n be t(1). Sort n, o, v in descending order.
v, o, n
Let o(p) be the first derivative of p**4/4 + p**3 + p**2 + p - 2. Let w be o(-2). Let c be (-2)/3*(-2 + 5). Put w, 3, c in decreasing order.
3, w, c
Let c = 47/2 + -24. Let x = 6.4 - 6. Let d = x + -0.8. Sort c, 1/9, d in descending order.
1/9, d, c
Let g be ((-3)/(-63))/(6/54). Sort 6, -1/2, g.
-1/2, g, 6
Let f = 0.087 + -0.087. Sort f, -0.2, -3, -9/5 in increasing order.
-3, -9/5, -0.2, f
Let m(b) = -b**2 + 3*b + 4. Suppose 5*w + k - 23 = 0, 2*k + 3 = 3*k. Let g be m(w). Suppose 4*z = 2*o + 2, 2*z + 3*o = 6 + 15. Put -3, g, z in ascending order.
-3, g, z
Let b be -1 - 2/(-6) - 48/(-96). Sort b, -9, 0.4 in increasing order.
-9, b, 0.4
Let n be 2*(-3)/6*2. Let y be 1 - 1 - (n + 5). Sort 1, -4, y in descending order.
1, y, -4
Suppose 6*t + 45 = t. Let r be ((-8)/5)/(t/(-45)). Sort r, 2, -5.
r, -5, 2
Let c be (-1 - -3)*2/6. Let q = 24.2 - 24. Sort c, 1, q in descending order.
1, c, q
Suppose -b + 2*i + 7 = 0, b - 5 - 3 = 3*i. Suppose 3*d - 4*d = -4, -3*n - b*d + 32 = 0. Let a(h) = -h**2 + 4*h. Let f be a(3). Put n, f, -3 in decreasing order.
n, f, -3
Suppose 6 = 3*v - 5*v. Put -5, v, 5 in descending order.
5, v, -5
Let u(q) = q - 9. Let c be u(9). Let x = c - 3. Put -2, 0.4, x in descending order.
0.4, -2, x
Let a = -0.3 + 0.5. Let h be (-4)/(-2)*3*4/(-8). Let k(o) = -4*o**3 - 2*o**2 + 1. Let r be k(1). Sort a, h, r in decreasing order.
a, h, r
Let j(o) = 3*o**2 - o. Let s be j(1). Suppose 90 = 3*i - s*v, -2*v - 60 = -5*i + 3*i. Let l = -388/13 + i. Sort -5, 3, l in decreasing order.
3, l, -5
Let x = -19.8 + 20. Put -4, -1/2, x in increasing order.
-4, -1/2, x
Let l = 0.13 + 13.87. Let g = -13.7 + l. Sort g, -5, 2 in descending order.
2, g, -5
Let u = -3 - -3.8. Let w = 1 - u. Let l = 0.1 - w. Sort l, -4, 0 in decreasing order.
0, l, -4
Let t(d) = d**3 + 6*d**2 - 6*d + 10. Let w be t(-7). Suppose g + 0*g = -2*y, w*g = -12. Put 3, y, -20 in decreasing order.
3, y, -20
Let y = -60 + 188/3. Let m = 2197/12 - 741/4. Let c = m + y. Sort -2/11, 0, c in decreasing order.
c, 0, -2/11
Let u = -27 + 22. Sort -0.4, u, -3/5.
u, -3/5, -0.4
Let z = -35 - -36. Put -0.08, z, 0.1 in decreasing order.
z, 0.1, -0.08
Let h = -14/95 + -1/19. Let m = 6.9 + -7. Put h, 1/2, m in descending order.
1/2, m, h
Let p be 9/(-6)*(-5 - -3). Sort -1/3, 2/3, -14, p in ascending order.
-14, -1/3, 2/3, p
Let s = 39 - 44. Put 5, s, 4, 0 in descending order.
5, 4, 0, s
Let b = 1.8 + -2.8. Sort b, 7/4, -4 in ascending order.
-4, b, 7/4
Let r be 12/(-8)*4/6. Let a be (-1 - -1 - r) + 14. Suppose 0*h + a = 3*h. Sort 1, h, -2 in increasing order.
-2, 1, h
Let p = 6 + -3. Suppose -4*g - 33 = 5*j, 4*g + 4 = 7*g - 2*j. Put p, g, 4 in decreasing order.
4, p, g
Let z be (-4)/(-6) + 616/(-33). Let k be (2/(-6))/(2/z). Put k, -4, -1 in increasing order.
-4, -1, k
Let o be 3*8/(-84)*-7. Sort 7, o, 3, 4 in ascending order.
o, 3, 4, 7
Let a be (-3)/30*(-3272)/(-9). Let r = 109/3 + a. Let v = r + 17/90. Sort -5, v, -1.
-5, -1, v
Suppose 5*n = 2*m + 2, 5*m + 0*n - 5*n - 10 = 0. Sort m, -8, 1 in decreasing order.
m, 1, -8
Suppose 5*r = -d + 10, -5*d + 12 = -4*r - 9. Let i be 4 + (4/2)/(-1). Put i, 3, d in descending order.
d, 3, i
Let y = -19 - -16. Put 4, y, -4 in descending order.
4, y, -4
Let b = -0.1 + 0.1. Let d be (2 + (-12)/8)/(-1)*-2. Sort -3, b, d in ascending order.
-3, b, d
Let j be 6/9 + 17/(-3). Let g = -21 + 21. Suppose 1 + 4 = y. Sort j, y, g.
j, g, y
Let c = -18 + 22. Put -2, c, -1 in descending order.
c, -1, -2
Let i = 2 + 7. Sort i, 2, -4/5 in descending order.
i, 2, -4/5
Suppose 24 = q + 5*t, q - 23 = -4*t - 3. Let v be ((-1 - 0) + 1)*-1. Let w be (6 + v/2)/2. Sort 2, q, w in increasing order.
2, w, q
Let b = 22 + -21.89. Let t = -2.11 + b. Sort t, 2/15, 0.4 in ascending order.
t, 2/15, 0.4
Suppose -t - 2 = -3. Suppose 20 = -2*m - 2*m. Let g = -2 + -2. Put g, m, t in ascending order.
m, g, t
Suppose 2*z - 20 = 6*z. Sort z, 0, -4.
z, -4, 0
Suppose 10 + 2 = 3*k. Suppose 0 = k*i + 2 + 14. Sort -2, 4, i in decreasing order.
4, -2, i
Let v be (-19)/5 + (9/5 - 2). Put 31, v, -1 in increasing order.
v, -1, 31
Let j be ((-36)/(-15))/((-2)/(-5)). Let m(g) be the second derivative of g**3/3 - 4*g**2 + g. Let k be m(j). Put 1, k, 0 in increasing order.
0, 1, k
Suppose -4*h + 0*h + 132 = 0. Suppose -3 + h = 3*m. Let d be (4 - m)*(-1)/2. Sort -3, d, 1.
-3, 1, d
Let s = 11 + -7. Suppose 5*t = 4*f + 3*t - 24, 3*f = -4*t + 7. Suppose 5*k - 4*k = f. Sort 3, k, s in descending order.
k, s, 3
Let i = -3.01 + 0.01. Let y be 1 + 1/((-21)/30). Sort -1, | {
"pile_set_name": "DM Mathematics"
} |
**2/7
Suppose -3*p**3/2 - 153*p**2/2 + 12411*p/2 - 12255/2 = 0. Calculate p.
-95, 1, 43
Determine f, given that -2*f**5 - 2386*f**4 - 710414*f**3 + 731898*f**2 + 5673888*f - 8553816 = 0.
-597, -3, 2
Find g such that -4*g**3 - 856*g**2 - 17572*g = 0.
-191, -23, 0
Solve -2*r**3/15 - 7096*r**2/15 - 63718*r/15 - 56624/15 = 0 for r.
-3539, -8, -1
Solve -5*u**4 - 83705*u**3 - 467129700*u**2 - 869172606000*u - 868705560000 = 0.
-5580, -1
What is w in 11*w**2/2 - 61*w/4 - 83/4 = 0?
-1, 83/22
Solve 2*t**2/3 - 10960*t/3 = 0 for t.
0, 5480
Factor 335*q**3 - 955*q**2 - 150*q.
5*q*(q - 3)*(67*q + 10)
Factor -q**4 - 513*q**3 - 3553*q**2 - 5571*q - 2530.
-(q + 1)**2*(q + 5)*(q + 506)
Find l such that l**4/3 + 31*l**3/3 + 50*l**2/3 - 232*l/3 = 0.
-29, -4, 0, 2
Factor 3*z**2 - 42915*z - 128772.
3*(z - 14308)*(z + 3)
Factor -505*a**3 - 3040*a**2 - 2585*a - 50.
-5*(a + 1)*(a + 5)*(101*a + 2)
Factor -2*n**3/3 + 4*n**2/3 + 586*n/3 + 380.
-2*(n - 19)*(n + 2)*(n + 15)/3
Factor -k**4/5 - 88001*k**3/5 - 1935911992*k**2/5 + 5808528012*k/5.
-k*(k - 3)*(k + 44002)**2/5
Suppose -5*a**3 - 36945*a**2 - 73875*a - 36935 = 0. Calculate a.
-7387, -1
Factor 676*n**3 - 37440*n**2 + 186900*n - 245000.
4*(n - 50)*(13*n - 35)**2
Factor -w**4/2 + 42997*w**3/2 - 461905895*w**2/2 - 6012045325*w/2.
-w*(w - 21505)**2*(w + 13)/2
Suppose 2*t**4 - 192842*t**3 = 0. Calculate t.
0, 96421
Factor -443682*m**3/5 - 1508142*m**2 + 32026*m/5 - 34/5.
-2*(m + 17)*(471*m - 1)**2/5
Solve n**3 + 26023*n**2 + 182112*n = 0.
-26016, -7, 0
Determine o, given that -3*o**2 + 40162*o - 13387 = 0.
1/3, 13387
Solve 2*n**4/3 - 116*n**3/3 + 1726*n**2/3 - 7996*n/3 + 2128 = 0 for n.
1, 7, 12, 38
What is k in -5*k**3 - 3695*k**2 - 152675*k + 156375 = 0?
-695, -45, 1
Let 5*r**3 + 44830*r**2 + 358400*r + 716640 = 0. Calculate r.
-8958, -4
Factor a**2 - 1413*a.
a*(a - 1413)
Factor 3*s**3/2 + 351*s**2/2 - 5256*s + 9798.
3*(s - 23)*(s - 2)*(s + 142)/2
Factor 5*r**4 + 111870*r**3 + 223720*r**2.
5*r**2*(r + 2)*(r + 22372)
Suppose c**2 + 48662*c - 340683 = 0. Calculate c.
-48669, 7
Let 102625*q**4/3 + 40675*q**3/3 + 3955*q**2/3 - 5*q = 0. Calculate q.
-1/5, 0, 3/821
Find d such that -2*d**2 - 248970*d - 248968 = 0.
-124484, -1
Suppose -12*n**4 - 29642*n**3 - 64168*n**2 = 0. What is n?
-2468, -13/6, 0
Let 35*f**5 - 99*f**4 + f**3 + 99*f**2 - 36*f = 0. Calculate f.
-1, 0, 3/7, 1, 12/5
Let 3*z**4/2 - 9*z**3/4 - 219*z**2/4 - 99*z/4 + 105/4 = 0. Calculate z.
-5, -1, 1/2, 7
Suppose -58*d**4/3 - 248*d**3/3 + 12*d**2 + 216*d - 126 = 0. What is d?
-3, 21/29, 1
Factor 2*o**3 - 396*o**2 - 8720*o.
2*o*(o - 218)*(o + 20)
Determine i, given that 3*i**2/2 + 3336*i + 19962 = 0.
-2218, -6
Find n, given that n**3 - 32*n**2 + 99*n + 972 = 0.
-4, 9, 27
Factor -3*q**3/4 - 4071*q**2/4 + 4077*q/2.
-3*q*(q - 2)*(q + 1359)/4
Factor 4*b**4 - 1712*b**3 + 186476*b**2 - 683488*b - 3775296.
4*(b - 212)**2*(b - 7)*(b + 3)
Factor 2*j**4/7 - 4140*j**3/7 + 2163050*j**2/7 - 21321000*j/7 + 53045000/7.
2*(j - 1030)**2*(j - 5)**2/7
Factor -d**4 - 5*d**3 - 9*d**2 - 7*d - 2.
-(d + 1)**3*(d + 2)
Let -38*u**4/9 - 1031*u**3/9 - 2515*u**2/3 - 7397*u/9 - 845/9 = 0. What is u?
-13, -1, -5/38
Find t, given that -2*t**4 - 128012*t**3 - 2049919586*t**2 - 49142782704*t - 294746135328 = 0.
-31991, -12
Find m, given that -4*m**5 - 416*m**4 - 11580*m**3 - 92000*m**2 + 104000*m = 0.
-65, -20, 0, 1
Let -54*z**3 + 9620*z**2 + 54*z - 9620 = 0. Calculate z.
-1, 1, 4810/27
Let -j**2/3 - 1694*j/3 + 3400 = 0. Calculate j.
-1700, 6
What is r in 3*r**2/7 - 801030*r/7 + 53470755075/7 = 0?
133505
Factor 134*o**2 - 3520*o + 936.
2*(o - 26)*(67*o - 18)
Factor 2*m**3/5 - 48*m**2/5 - 504*m + 12960.
2*(m - 30)**2*(m + 36)/5
Find w, given that 3*w**2/5 + 3534*w + 5203815 = 0.
-2945
What is l in -4*l**5 - 32*l**4 + 504*l**3 - 1712*l**2 + 2060*l - 816 = 0?
-17, 1, 3, 4
What is v in v**3 + 802*v**2 + 5575*v + 7950 = 0?
-795, -5, -2
Find v such that -2*v**4 - 504*v**3 - 10942*v**2 + 504*v + 10944 = 0.
-228, -24, -1, 1
Solve -r**4/2 - 124*r**3 - 2861*r**2/2 - 3431*r - 2124 = 0.
-236, -9, -2, -1
Factor b**2/3 - 257*b + 12818/3.
(b - 754)*(b - 17)/3
Suppose 4*q**3 + 23172*q**2 - 1401120*q + 21070800 = 0. What is q?
-5853, 30
Determine i so that -i**5/2 - 8053*i**4/2 + 16109*i**3/2 - 8055*i**2/2 = 0.
-8055, 0, 1
Suppose b**3/4 + 2595*b**2/2 + 396000*b + 31168000 = 0. What is b?
-4870, -160
Suppose 3*c**2 - 1170*c + 56943 = 0. What is c?
57, 333
Factor k**2/5 - 20082*k/5 + 100821681/5.
(k - 10041)**2/5
Solve -27*g**4 - 801*g**3 + 7467*g**2 + 5241*g + 888 = 0.
-37, -1/3, 8
Suppose 2*v**5 - 28106*v**4 + 98729350*v**3 + 98757458*v**2 = 0. What is v?
-1, 0, 7027
Factor -3*l**3 + 3903669*l**2 - 1269887923629*l + 1269884019963.
-3*(l - 650611)**2*(l - 1)
Determine q so that -3*q**5/5 - 183*q**4/5 - 2337*q**3/5 - 8097*q**2/5 - 1188*q = 0.
-45, -11, -4, -1, 0
Determine o so that -o**5/2 - 543*o**4 + 1632*o**3 - 1633*o**2 + 1089*o/2 = 0.
-1089, 0, 1
Factor 5*q**2 - 18975*q - 114030.
5*(q - 3801)*(q + 6)
Solve 3*j**5 - 18*j**4 - 348*j**3 + 72*j**2 + 1344*j = 0 for j.
-8, -2, 0, 2, 14
Suppose k**4/3 - 50*k**3/3 - 71*k**2 - 54*k = 0. Calculate k.
-3, -1, 0, 54
Factor 3*n**2 - 678*n + 4599.
3*(n - 219)*(n - 7)
Factor u**4/3 - 144*u**3 - 433*u**2/3.
u**2*(u - 433)*(u + 1)/3
Find f, given that -2*f**4/5 + 12586*f**3/5 - 3958926*f**2 - 19807218*f/5 = 0.
-1, 0, 3147
Let 2*f**3/3 - 818*f**2/3 + 272*f = 0. What is f?
0, 1, 408
Factor -88472048*c**4/11 + 28600712*c**3/11 - 2995860*c**2/11 + 129350*c/11 - 2000/11.
-2*(47*c - 8)*(98*c - 5)**3/11
Determine o so that 5043*o**4 - 34809*o**3 - 497646*o**2 - 48300*o - 1176 = 0.
-7, -2/41, 14
Let 2*i**2 - 180*i + 2002 = 0. What is i?
13, 77
Let 2*h**2/5 + 88502*h/5 = 0. What is h?
-44251, 0
Factor -3*q**4 + 471*q**2 + 468*q.
-3*q*(q - 13)*(q + 1)*(q + 12)
Suppose 2*t**3 - 1614*t**2 + 331200*t - 2240000 = 0. What is t?
7, 400
Factor k**3/7 + 5*k**2/7 + 6*k/7.
k*(k + 2)*(k + 3)/7
Find m such that m**2/7 + 17400*m/7 + 75690000/7 = 0.
-8700
Determine i so that 3*i**5 - 57*i**4 + 381*i**3 - 1179*i**2 + 1728*i - 972 = 0.
2, 3, 9
Find q such that -q**2 - 379*q - 6154 = 0.
-362, -17
Solve -1580642*j**4/5 - 23702518*j**3/5 - 85247996*j**2/5 + 383928*j/5 - 432/5 = 0 for j.
-9, -6, 2/889
Factor -f**2 - 857*f - 6792.
-(f + 8)*(f + 849)
Factor 3*z**2 + 55350*z + 255301875.
3*(z + 9225)**2
Factor 2*s**3/7 - 10680*s**2/7 + 2035302*s + 28536964/7.
2*(s - 2671)**2*(s + 2)/7
Factor -2*n**2/9 + 250*n - 4492/9.
-2*(n - 1123)*(n - 2)/9
Factor 3*p**4 + 90*p**3 - 108*p**2 - 474*p - 279.
3*(p - 3)*(p + 1)**2*(p + 31)
Factor -h**2/2 - 1229*h + 22203/2.
-(h - 9)*(h + 2467)/2
Let f**4/6 + 47*f**3/2 - 2*f**2 - 838*f/3 + 376 = 0. What is f?
-141, -4, 2
Determine n so that 16*n**5 - 2580*n**4 - 4568*n**3 + 624*n**2 + 4552*n + 1956 = 0.
-1, -3/4, 1, 163
Suppose -2*z**3/7 + 88*z**2/7 - 474*z/7 + 684/7 = 0. What is z?
3, 38
Factor -2*q**2/17 + 834*q/17 + 287168/17.
-2*(q - 641)*(q + 224)/17
Suppose 338*q**4/9 + 7100*q**3/9 - 5056*q**2/3 + 7684*q/9 + 46/9 = 0. Calculate q.
-23, -1/169, 1
Factor f**2/5 - 9306*f/5 + 21650409/5.
(f - 4653)**2/5
Let 27*w**3/7 - 2874*w**2/7 - 26823*w/7 + 29670/7 = 0. What is w?
-86/9, 1, 115
Solve x**2/2 + 8*x + 24 = 0.
-12, -4
Let m**3/8 + 323*m**2/4 - 1965*m/2 + 2961 = 0. What is m?
-658, 6
Determine x so that -2*x**3 + 5712*x**2/5 + 4578*x/5 - 1144/5 = 0.
-1, 1/5, 572
Suppose 2*a**3/13 - 329470*a**2/13 + 658934*a/13 - 329466/13 = 0. Calculate a.
1, 164733
Factor -2*x**2/3 - 250*x/3 + 3996.
-2*(x - 37)*(x + 162)/3
Determine u so that 2*u**4 - 708*u**3 - 13176*u**2 - 79920*u - 160704 = 0.
-6, 372
Factor -4*w**3/5 + 182492*w**2/5 + 547512*w/5.
-4*w*(w - 45626)*(w + 3)/5
Factor -o**3/6 + 4195*o**2/6 - 2096*o/3 - 1398.
-(o - 4194)*(o - 2)*(o + 1)/6
Factor 4*m**2/7 + 436*m/7 - 440/7.
4*(m - 1)*(m + 110)/7
Determine q, given that 3*q**5/7 - 39*q**4/7 - 423*q**3/7 + 891*q**2/7 + 1620*q + 18468/7 = 0.
-6, -3, 6, 19
Factor -407044*p**4 - 5289020*p**3 + 33172*p**2 - 52*p.
-4*p*(p + 13)*(319*p - 1)**2
What is p in p**3/6 - 1626*p**2 + 9750*p = 0?
0, 6, 9750
Suppose -8*d**5 + 1526*d**4 - 9866*d**3 - 12934*d**2 + 9874*d + 11408 = 0. What is d?
-1, 1, 31/4, 184
Solve 3*c**5/4 - 29*c**4/4 - 499*c**3/4 - 619*c**2/4 - 38*c = 0.
-8, -1, -1/3, 0, 19
Solve 3*w**3/4 + 1989*w**2/4 + 81162*w - 418335 | {
"pile_set_name": "DM Mathematics"
} |
t x = a - -12. Calculate the remainder when x is divided by 18.
15
Let c be (-15 + 1)/(3 + -1). Calculate the remainder when (-1 + c)*(-9)/6 is divided by 5.
2
Let h(l) = -l - 2. Let b be h(-4). Calculate the remainder when 21 is divided by (-4 - -2) + b - -11.
10
Suppose -4*r + 2 + 6 = 0. Calculate the remainder when (-26)/(-1) + (1 - -1) is divided by (0 + 1)/(r/20).
8
Let h = 11 - -17. Suppose 98 = 5*r - 57. Let l = r - 21. What is the remainder when h is divided by l?
8
Let s(n) = -3*n + 4. Suppose g + 4 = 6. Let d = -7 + g. Calculate the remainder when 37 is divided by s(d).
18
Let a be -2 - 5*(1 - 2). Let r = 25 + a. Let v(n) = -n**3 + 10*n**2 + 11*n + 10. What is the remainder when r is divided by v(11)?
8
Let a(w) = w**2 - 2*w - 3. Let b be a(-2). Suppose 5*j + b*z - 139 = 4*z, 3*z - 81 = -3*j. What is the remainder when j is divided by 2/1 + 1*13?
13
Suppose -5*y + 3*f - 53 + 16 = 0, y + 3*f + 11 = 0. Let c = y + 35. Calculate the remainder when c is divided by -5 - 2 - (-21 - (-2)/(-2)).
12
Let x = -30 + 53. Let v = 969 - 926. Calculate the remainder when v is divided by x.
20
Let b(q) = 6*q - 1. Let d(y) = -y. Let j be d(-2). Calculate the remainder when 31 is divided by b(j).
9
Let a be 1620/4 - (-2 - 1). Calculate the remainder when 49 is divided by a/(-16)*(-2)/3.
15
Let m(o) = -o + 3. Let x be m(-4). Suppose -f + 6*f = -2*t + 25, 0 = -t + 3*f + x. What is the remainder when 37 is divided by t?
7
Suppose -3*s + 2*s + 18 = 0. Let v(y) = 7*y + 4 + 0*y**3 - 3 + 7*y**2 - y**3 + 3. Calculate the remainder when v(7) is divided by s.
17
Let b = 16 + -36. What is the remainder when 5/b + (-117)/(-4) is divided by 8?
5
Let k = 6 - -6. Suppose -6*s = -3*s + 4*f - 122, 0 = 5*s + f - 175. Suppose s = i - 0*i. What is the remainder when i is divided by k?
10
Let j = 4 + -1. Suppose j = 4*k - 25. Let y(g) = -3*g - 2. What is the remainder when y(-5) is divided by k?
6
Suppose 0 = 2*n - 6*n, -3*v - 4*n + 39 = 0. Calculate the remainder when 35 is divided by v.
9
Suppose -92 = 2*c + c + 4*b, c + 26 = b. Suppose 7*t = 6*t - 5. Let f = t - c. What is the remainder when f is divided by 8?
7
Let c(m) = m**2 + 10*m + 2. Calculate the remainder when 8/2 - (-1 - -2) is divided by c(-10).
1
Suppose 2*u - 5 = 5*v, 3*u + 2 = -3*v + v. Let o be (-1)/3 - v/3. Suppose -m - 4*j - 1 + 25 = o, 2*m = -2*j + 36. What is the remainder when m is divided by 6?
4
Let q = -7 + 10. Suppose q*f = 4*m - 32 + 3, -3*m = 5*f - 58. What is the remainder when 19 is divided by m?
8
Let x = 11 + -6. What is the remainder when 23 is divided by x?
3
Let z be (-4)/10 - 32/(-5). Let d = z + -1. Suppose d*h = 16 + 39. Calculate the remainder when 32 is divided by h.
10
Suppose -3*x + 7 + 13 = 2*g, -g + x = 0. Let w be 130/g + (-2)/4. What is the remainder when ((-3)/(-6))/(1/w) is divided by 9?
7
Let y = 41 - 6. Suppose -5*t - 2 = 2*p, 2*t + 0*t = -4. Suppose -3 = -3*a, 0 = p*x + 4*a - 8*a - 68. What is the remainder when y is divided by x?
17
Let w be 464/12 - (-1)/3. Suppose 0*u = 3*u - w. What is the remainder when 24 is divided by u?
11
Let p(s) = s**3 - 7*s**2 - 2*s + 9. Let b be p(7). Let h(j) = -5*j - 3. What is the remainder when h(b) is divided by -1 + 13 - (-2 - -2)?
10
Let g(q) = -q**2 - 11*q + 12. Let v be g(-9). Let f be (-6)/(-21) - 128/7. Let h = f + v. What is the remainder when h is divided by 7?
5
Let a = -5 + 5. Suppose -3*q - 2*q + 90 = a. What is the remainder when 4*9 + 0 + -1 is divided by q?
17
Let j(i) = 4 + 2 + 9*i + 0*i + 2*i. Calculate the remainder when j(5) is divided by 16.
13
Suppose -26 = -4*q + 3*q - 5*n, 4*n = -4*q + 40. Calculate the remainder when 10 is divided by q.
4
Suppose -a = 5 - 6. Calculate the remainder when -2 - 1/a*-59 is divided by 20.
17
What is the remainder when 93 is divided by (-11 - -14)/((-3)/(-32))?
29
Let x = -1 + 4. Suppose x*l - l + 148 = 3*o, 194 = 4*o - 2*l. What is the remainder when o is divided by 12?
10
Let u be ((-8)/6)/((-3)/(-36)). Let c = 47 + u. Suppose -4*r + 11 = -3*r. What is the remainder when c is divided by r?
9
Let n(f) = -f**2 + 8*f - 3. Let g be n(7). Suppose 10 + 2 = g*t. What is the remainder when 6 is divided by t?
0
Let n(y) = -y + 8. Let s be n(6). Let o(d) = -52*d**2 - 4*d - 3. Let z be o(-1). What is the remainder when 13 is divided by s/(-3) - z/9?
3
Let i = -8 - -1. Let d(b) = b**3 + 6*b**2 - 9*b + 5. Calculate the remainder when (-2)/(-2)*-37*(-2 - -1) is divided by d(i).
18
Let s be (0 + 0 - -34) + 1. Suppose 2*v - s = -3*v. Suppose -n + v = 5*a, -a - 10 = -n + 15. Calculate the remainder when n is divided by 8.
6
Let b(t) = 0 + 3*t + 1 - 3. What is the remainder when 47 is divided by b(6)?
15
Suppose 0 = x + 3*o - 8*o - 32, 3*x + 4*o = 96. Suppose 0 = 4*n + 5 + 3. Let u(f) = -f**3 + f**2 + f + 1. Calculate the remainder when x is divided by u(n).
10
Let c(w) = -w**3 + 12*w**2 + 13. What is the remainder when c(12) is divided by 7?
6
Suppose 0 = -3*c - 12, -4*x + 12 + 32 = -c. Let y = -69 - -97. What is the remainder when y is divided by x?
8
Let i = 24 + -20. Calculate the remainder when i is divided by 3.
1
Let i = -1 - 4. Let b = -1 - i. Suppose 4*j + l - 83 = 0, -16 = 4*l + b. Calculate the remainder when j is divided by 8.
6
Let y(v) = v. Calculate the remainder when y(2) is divided by 2.
0
Let v(t) = t**3 - 4*t**2 + 3*t. Calculate the remainder when 23 is divided by v(4).
11
Let p(k) be the second derivative of k**4/12 - 2*k**3/3 + 5*k**2/2 + k. What is the remainder when 31 is divided by p(6)?
14
Suppose 5*w - 3*f - 79 = 0, 0 = 4*w - 3*f - 47 - 15. Calculate the remainder when 32 is divided by w.
15
Let m(r) = -5*r - 13. Calculate the remainder when m(-15) is divided by 16.
14
Let c = -20 - -39. What is the remainder when 37 is divided by c?
18
Suppose -2*n + 33 = u, 71 = 2*u - 3*n + 2*n. What is the remainder when u is divided by 3?
2
Let m = -5 + 8. Let g = 53 - 32. Suppose 5*o = 4*h + 80, 0 = m*o + 3*h - 0*h - g. Calculate the remainder when 22 is divided by o.
10
Suppose -j - 3*d = -7 - 4, j = -5*d + 11. Calculate the remainder when j is divided by 1/4 - (-23)/4.
5
Suppose 2 = x - 3*j, -3*x + 3*j - 1 = -25. What is the remainder when 41 is divided by x?
8
Let c = -142 + 222. Let s = c - 23. Calculate the remainder when s is divided by 15.
12
Let n = 90 - 49. Suppose k + 2*d = 6*k - n, -k + 2*d = -5. What is the remainder when 16 + (2 - 4) + 2 is divided by k?
7
Let q(z) = 10*z + 1. Let m be q(-1). Let f(d) = -6*d + 5. Suppose -l + 80 = 3*l. Calculate the remainder when f(m) is divided by l.
19
What is the remainder when 144 + 4 + 4 - 4 is divided by 38?
34
Suppose 29 = 4*l - 3*t - 0*t, 0 = -3*l - 5*t + 58. Calculate the remainder when (-2)/6*-93*1 is divided by l.
9
Suppose 3*x - 5*y - 31 - 48 = 0, 4*x - 112 = 5*y. Calculate the remainder when 64 is divided by x.
31
Suppose 0 = -2*l + 4. Suppose -92 = -2*q - l*q. What is the remainder when q is divided by 8?
7
Suppose -10 = -2*y + 20. Suppose 0 = -q - 2, 5*m - 29*q = -26*q + 221. Calculate the remainder when m is divided by y.
13
Suppose j + 4*j = -10. Let v(a) = 7*a - 1. Calculate the remainder when v(4) is divided by j/3 - 92/(-12).
6
Let o(r) = -2*r + 3. Let x = 5 - 8. Calculate the remainder when 17 is divided by o(x).
8
Let l = -1 - -4. Suppose 0 = z + l*z + 8, -5*f = z - 118. Calculate the remainder when 95 is divided by f.
23
Suppose -20 + 68 = 2*w. Calculate the remainder when w is divided by 5.
4
Let t = -58 - -83. What is the remainder when 98 is divided by t?
23
Let y(u) = -8*u - 6. Let c be y(-4). Suppose -60 = -5*g - 4*b, 3*g - 2*b = c + 10. What is the remainder when 46 is divided by g?
10
Let d = -81 - -97. Calculate the remainder when d is divided by 5.
1
Suppose 0 = 5*a - 15, -3*w - w + 18 = -2*a. Let p = 3 + w. What is the remainder when 1/4 + 131/4 is divided by p?
6
Let i be (4/(-2))/(2 - 1). Let o = i + 4. What is the remainder when 25 is divided by 89/7 + o/7?
12
Let l = 26 + -11. What is the remainder when l is divided by 8?
7
Let j = 11 + 7. Suppose 3*x = -x + 24. Let k = x + 4. Calculate the remainder when j is divided by k.
8
What is the remainder when 30 is divided by (-4)/(-2*(-3)/(-24))?
14
Let d be 12/16 - (-18)/8. Suppose -51 = -d*k - 0*k. Calculate the remainder when 33 is divided by k.
16
Suppos | {
"pile_set_name": "DM Mathematics"
} |
s) - v(s). Calculate -16*a(d) + 5*m(d).
2*d**3
Let q(o) = 1532*o**2 - o + 8. Let c(f) = -2296*f**2 + f - 13. Calculate 5*c(p) + 8*q(p).
776*p**2 - 3*p - 1
Let p(i) = -i**2 + i - 1. Let w(v) be the second derivative of 3*v**5/20 - v**4/4 + v**3 - 7*v**2/2 - 1283*v. What is -6*p(f) + w(f)?
3*f**3 + 3*f**2 - 1
Let l(a) = -28*a - 8. Let j(u) = 14*u + 4. Suppose 180*m - 111*m = 88*m - 95. Give m*j(h) + 2*l(h).
14*h + 4
Let a(c) = -c - 1. Let f(o) = -o - 1. Let h(t) = -5*a(t) + 6*f(t). Let l = -17 - 4. Let w be 6/l - (58/(-7) + 2). Let d(v) = 2*v + 5. Calculate w*h(s) + d(s).
-4*s - 1
Let o(r) = -153*r**2 + 25*r - 45. Let d(g) = -19*g**2 - 2. Determine -8*d(q) + o(q).
-q**2 + 25*q - 29
Let r(q) = -70*q - 1178. Let h(u) = 93*u + 1178. Calculate -3*h(f) - 4*r(f).
f + 1178
Let x(j) = -85698*j**3 + 1728*j**2 + 432. Let y(s) = -1993*s**3 + 40*s**2 + 10. Calculate -5*x(k) + 216*y(k).
-1998*k**3
Let k(x) = 2*x**2 - 4. Suppose -5*b + 116 = 4*g + 127, 0 = 5*g - 4*b + 24. Let y(l) = 3*l**2 - 9. Determine g*y(u) + 9*k(u).
6*u**2
Let f(l) = l**3 - l**2 + 3*l - 1. Let n(u) = -7*u**3 + u**2 - 64*u + 5. What is 4*f(r) + n(r)?
-3*r**3 - 3*r**2 - 52*r + 1
Let y(q) = q**3. Let p(t) = 148*t - 591. Let k be p(4). Let a(g) = -25*g**3 + 2. Determine k*a(s) - 6*y(s).
-31*s**3 + 2
Suppose -1331*r + 237 = -1094*r. Let o(l) = l - 1. Let a(p) be the third derivative of p**4/4 + p**3/6 - 6*p**2. What is r*a(j) - 5*o(j)?
j + 6
Let b(j) = -541*j**3 - 12*j**2 + 5*j - 1. Let z(u) = 2*u**3 + 4*u**2 + 1. Calculate b(a) + 3*z(a).
-535*a**3 + 5*a + 2
Let r(z) = 7*z + 43. Let l be r(-7). Let w(o) = -3*o + 7. Let d(m) = -7112*m - 7107*m + 14221*m - 6. Give l*d(k) - 5*w(k).
3*k + 1
Let b(y) = -y**2 - y - 1. Let f = -33 + 73. Let i = 122 + 12. Let a = -129 + i. Let q(k) = 9*k**2 + 8*k + 8. Give a*q(n) + f*b(n).
5*n**2
Let z(n) be the first derivative of n**3/3 + n**2/2 - 2134. Let p(h) = -2*h**2 - h. Give p(c) - 2*z(c).
-4*c**2 - 3*c
Let r be (10 - -2)/(-12 + (-4 - -14)) + 17. Let v(d) = 2*d**2 - 3*d + 2. Let n(a) = -a**3 + 11*a**2 - 15*a + 10. Determine r*v(y) - 2*n(y).
2*y**3 - 3*y + 2
Let a(v) = v**2 - 6*v - 15. Let f(h) = 2*h**2 - 7*h - 15. Let b = -18660 - -18655. Give b*a(g) + 4*f(g).
3*g**2 + 2*g + 15
Let o(q) = 13*q - 9. Let u(v) = 29*v - 19. Give -5*o(b) + 2*u(b).
-7*b + 7
Let x(r) = 4*r**2 - 5*r + 662. Let o(c) = 11*c**2 - 13*c + 1655. Give 5*o(i) - 13*x(i).
3*i**2 - 331
Let a be 1/3*-5*87/(-145). Let q(o) = o**2 - o - 1. Let t(v) = -2*v**2 - 4*v - 4. Calculate a*t(c) - 6*q(c).
-8*c**2 + 2*c + 2
Let g = 12 + -17. Let d(a) = -5*a**3 - 4*a**2 + 6*a - 4. Let i(y) = -14*y + 312. Let k be i(22). Let f(n) = -6*n**3 - 5*n**2 + 7*n - 5. Give g*d(s) + k*f(s).
s**3 - 2*s
Let d = -3 - -6. Let l(t) = d*t + 0*t - t - 8. Let k(s) = 406*s + 1. Let n(h) = 880*h + 1. Let g(p) = 13*k(p) - 6*n(p). Give -6*g(r) - 5*l(r).
2*r - 2
Let b(q) = 4*q + 4. Suppose 0 = 8*u - 106 + 98. Let l be (-1)/(-4) - 2/(32/84). Let x(m) = m + 1. Determine l*x(t) + u*b(t).
-t - 1
Let k(w) = -39*w + 32. Let c(j) = 32*j - 31. Calculate -3*c(y) - 2*k(y).
-18*y + 29
Let v(d) = 39*d**2 - 7*d + 9415. Let r(k) = -22*k**2 + 4*k - 4707. Determine 7*r(f) + 4*v(f).
2*f**2 + 4711
Let x(k) = 24*k - 2. Suppose 908*m - 905*m + 3*u + 30 = 0, 3*m - 5 = 4*u. Let o(h) = 48*h - 3. Calculate m*x(y) + 3*o(y).
24*y + 1
Let c(k) = 23*k**2 - 9*k - 87. Let m(w) = 12*w**2 - 5*w - 47. Calculate -6*c(b) + 11*m(b).
-6*b**2 - b + 5
Let y(f) = -3*f**2 - 6*f - 1. Let x(w) = -2*w**2 - 5*w - 1. Let l = 1361 + -1355. Give l*x(c) - 5*y(c).
3*c**2 - 1
Let x(r) be the first derivative of 3*r**4/4 + 2*r**3 + 5*r**2/2 + 5*r + 1. Let o(l) = -4*l**3 - 7*l**2 - 6*l - 6. Let d = 35016 + -35011. Give d*o(k) + 6*x(k).
-2*k**3 + k**2
Let b(d) = -24685*d**2 - 11. Let q(v) = -4940*v**2 - 2. Determine 2*b(g) - 11*q(g).
4970*g**2
Let r(v) = -3*v + 2*v + 1 + 0. Let g(d) = 5*d - 6. Let a(s) = s - 1. Let o(w) = 6*a(w) - g(w). Let c be (7/(175/30) - 156/30) + 2. Determine c*r(z) + o(z).
3*z - 2
Let h(s) = s**3 + s**2 + 1. Let o(v) be the first derivative of 3*v**4/4 + 4*v**3/3 - 2*v**2 + 5*v - 842. Calculate -4*h(u) + o(u).
-u**3 - 4*u + 1
Let n(j) = -8*j**3 - 1. Let a(q) = 96*q**3 - 4. What is a(d) + 10*n(d)?
16*d**3 - 14
Let p(o) = 7*o + 7. Let q(v) = 20. Let k(u) = 7*u - 254. Let c(l) = -k(l) - 13*q(l). Determine 4*c(a) + 3*p(a).
-7*a - 3
Let t = -9212 - -9218. Let k(l) = -l**2 + l + 1. Let q(m) = 9*m**2 - 6*m - 6. Calculate t*k(g) + q(g).
3*g**2
Let g(i) = 18*i + 640. Let b(o) = -7*o - 319. Give 15*b(y) + 6*g(y).
3*y - 945
Let h(b) be the second derivative of -b**3/6 - b**2 - 2*b. Let c(x) be the second derivative of -x**3/3 - 3*x**2/2 - 4*x + 26. Give 2*c(v) - 3*h(v).
-v
Let n(s) = -s. Let a(b) = -b. Suppose 5*x - 40 = -k, 0 = 3*k - 3*x - 30. Let w = 14 - k. Give w*n(y) - 5*a(y).
6*y
Let r(w) = 120*w + 3. Let o(y) = 60*y + 1. Give 7*o(z) - 4*r(z).
-60*z - 5
Let j(o) = -3*o**2 + 11*o + 21 + o**2 - 21 - 13*o. Let n(f) = -f**3 + f**2 + f. Determine 3*j(t) + 6*n(t).
-6*t**3
Let f(x) = 8554*x**3 - 14*x**2 - 14*x + 28. Let g(z) = 1711*z**3 - 3*z**2 - 3*z + 6. What is 3*f(n) - 14*g(n)?
1708*n**3
Let a(c) be the second derivative of -13*c**3/6 - 9*c**2/2 - 3*c. Let u(q) = q**2 - 27*q - 2799. Let b be u(-41). Let n(l) = -7*l - 5. What is b*n(o) + 6*a(o)?
-o + 1
Let t(y) = -16*y**2 + 4*y + 130. Let w(x) = -2*x**3 + 14*x**2 - 3*x - 133. Give 3*t(m) + 4*w(m).
-8*m**3 + 8*m**2 - 142
Let t(r) = -r**3 - r**2 + 4*r. Let k(c) be the first derivative of -c**4/4 + c**2/2 - 7320. Calculate -3*k(p) + t(p).
2*p**3 - p**2 + p
Let f(z) = -4*z**2 + 3*z + 3. Let v(s) = 5*s**2 + 11*s + 13. Let k be v(-1). Let j(r) = 9*r**2 - 7*r - 7. Calculate k*f(h) + 3*j(h).
-h**2
Let a(z) = -8*z + 3. Let x = 6446 - 6440. Let m(l) = -8*l + 2. What is x*m(u) - 4*a(u)?
-16*u
Let m(f) = 19*f + 7. Suppose 4*x + 4*y = -32, 0*y + y - 22 = 5*x. Let r(p) = -10*p - 245 + 116 + p + 126. Give x*r(k) - 2*m(k).
7*k + 1
Let n(t) = 2*t - 17. Let f(m) = -6 + 2*m - 13*m + 15*m - 28. What is 3*f(d) - 5*n(d)?
2*d - 17
Let g(i) = i. Let l(b) = -4*b - 4. Let p = 1814 - 1812. Determine p*g(k) + l(k).
-2*k - 4
Let k(c) = 51*c**3 - c - 14. Let w(s) = -58*s**3 - s**2 + s + 11. Determine -3*k(d) - 4*w(d).
79*d**3 + 4*d**2 - d - 2
Let r(z) = -18*z**3 + 13064*z**2 - 14*z - 8. Let t(f) = 11*f**3 - 8709*f**2 + 9*f + 5. Determine 5*r(m) + 8*t(m).
-2*m**3 - 4352*m**2 + 2*m
Let r(c) = 102*c + 5. Let s(z) = -201*z - 8. Give 5*r(u) + 2*s(u).
108*u + 9
Let w(v) = v**3 - 4*v**2 + v - 3. Let f(s) = 9*s**3 - 20*s**2 - 2257*s - 15. Calculate f(b) - 5*w(b).
4*b**3 - 2262*b
Let x(q) be the third derivative of q**4/24 + q**3/6 - 4*q**2 - q - 255. Let m(k) = 7*k - 1. Give m(h) - 6*x(h).
h - 7
Let p(i) = 10*i**3 - 465*i**2 - 3*i - 3. Let f(z) = -17*z**3 + 929*z**2 + 5*z + 5. Give -3*f(h) - 5*p(h).
h**3 - 462*h**2
Let s(c) = c**3 - c**2 + c + 1. Let f(d) be the third derivative of -d**6/40 + d**5/30 - 5*d**4/24 - 7*d**3/6 + 6776*d**2. Give f(m) + 5*s(m).
2*m**3 - 3*m**2 - 2
Suppose -30 = -5*m + 2*w, -4*m + 24 = -9*w + 14*w. Let h(r) = -17*r**2 - 6*r. Let c(z) = 52*z**2 + 17*z. Calculate m*c(s) + 17*h(s).
23*s**2
Let o(w) = 9*w + 31. Let x(m) be the second derivative of 2*m**3/3 + 8*m**2 + 697*m. Give 2*o(i) - 5*x(i).
-2*i - 18
Let f(a) = 5*a**2 - 11*a + 11. Suppose 252 = 2*b + 4*s, -3*s = 2*b - 4*s - 272. Let r = 147 - b. Let i(y) = 2*y**2 - 5*y + 5. What is r*i(l) - 6*f(l)?
-4*l**2 + l - 1
Let t(a) be the first derivative of -3*a**2/2 - a - 360. Let d(g) = -g. Calculate 4*d(x) - t(x).
-x + 1
Let a = -4 - -6. Suppose -a*f + f = -4. Let c(t) = 9*t + 5. Let k(g) = -5*g - 7. Let l(b) = -10*b - 16. Let z(x) = -5*k(x) + 2*l(x). Calculate f*c(y) - 7*z(y).
y - 1
Let q(r) = 706*r**3 + 5*r**2 - 5*r + 1. Let b(i) = -1059*i**3 - 7*i**2 + 7*i - 2. Calculate -5*b(f) - 7*q(f).
353*f**3 + 3
Let v(f) = -3*f**2 + 5*f**2 - 3*f**2. Let y(u) = 5*u**2 + 2. Let s = 96138 + -96137. Calculate s*y(d) + 4*v(d).
d**2 + 2
Let y(i) = 24*i**2 - 16*i - 2. Let v(d) = -25*d**2 + 6*d + 3. Determine 2*v(g) + 3*y(g).
22*g**2 - 36*g
Let c(q) = 18*q - 5. Let g(u) = -32*u + 2. Let l(w) = 15*w. Let i(j) = -3*g(j) - 5*l(j). Let x(k) = 4*k - 1. Let m(r) = -i(r) + 3*x(r). Give 3*c(b) + 5*m(b).
9*b
Let g(c) = -c - 38. Let z(x) = -482*x + 680. Calculate -36*g(u) - 2*z(u).
1000*u + 8
Let z(f) be | {
"pile_set_name": "DM Mathematics"
} |
ator of 59/9 and c/7 - 10175/462.
18
Let a be ((-4)/(-10))/(3/105). Suppose 0 = -4*w + 22 + a. What is the least common multiple of w and 8?
72
Let r(x) = x**2 - 8*x - 4. Suppose 24*j - 78 = 66. What is the lowest common multiple of r(10) and j?
48
Suppose 4*k = 2*a + 68, -37 - 3 = -2*k - 2*a. Calculate the common denominator of (-9)/(-12)*484/k and -25/454.
1362
Let r be (-2)/(-5) + (-15222)/38040. Let o = r + 415279/57060. Let s = 5581 - 33623/6. Calculate the common denominator of o and s.
18
Let v = 1280473/202 + -6339. Let y = v - 6247/606. Find the common denominator of 25/7 and y.
21
Let g be (-3 - -2 - 5/(-10))*-36. Calculate the common denominator of (-4)/g + 2172/(-756) and 30/11.
231
Calculate the common denominator of -29/10 and (-1608)/(-720)*-3*(-1 + 0).
10
Let f(r) = r**2 - 6*r - 8. Calculate the lowest common multiple of 36 and f(10).
288
Let m = 1910 + -1070. What is the lowest common multiple of 54 and m?
7560
Let z(u) = -30*u**3 - u**2 + 2*u - 2. Let j be z(1). Let d = j - -38. Calculate the lowest common multiple of d and 4.
28
Let n = -5 + 8. Let b(d) = d**2. Let s = 21 - 20. What is the smallest common multiple of n and b(s)?
3
Let x(s) = s**3 + 10*s**2 - 6*s - 52. Calculate the lowest common multiple of x(-10) and (10/(-4))/((-7)/84).
120
Suppose 6*y = 6 + 6. Calculate the least common multiple of (-69 + 0)/(-3) - (-1 + y) and 6.
66
Let k = -3161 - -37961/12. What is the common denominator of 273/99 - (-4 - (-16 - -11)) and k?
132
Let q be (-3)/(-2)*(13 + -1). Suppose 18 = 2*o - 3*r + 4*r, 2*o - q = 5*r. Let v(u) = 19*u - 11. What is the smallest common multiple of o and v(1)?
72
Let s be 53/(-28)*118/56. Let a be (-31)/(-196)*(-9 - (-11 + -4)). Let n = s - a. What is the common denominator of n and 21/40?
80
Let x(z) = -4*z**3 - 21*z**2 - 9*z - 10. What is the least common multiple of 335 and x(-5)?
670
Let u = 2/631 - -3149/1893. What is the common denominator of (-5)/(-9)*234/60 and u?
6
Suppose -5*f = -0*f - 30. Let b(l) = l - 8. Let s be b(f). Calculate the common denominator of 56/11 and 3/11*s/3.
11
Find the common denominator of 37/8 and (-4)/7*(-10619)/246.
24
Let q(c) = -99*c + 7. Let p = 66 + -67. What is the least common multiple of 22 and q(p)?
1166
Let n = 1826 - 146083/80. Find the common denominator of n and 81/80.
80
Let v = 2009 + -22071/11. Find the common denominator of 3/29 and v.
319
Suppose k = 4*p + 153, -4*p = -2*p - 2*k + 72. Suppose 3*v - 2*v + 126 = 0. Find the common denominator of (-1090)/v + 4/(-18) and p.
7
Let x = -107359/57252 - -5/1468. Find the common denominator of x and 149/48.
624
Suppose 5*c + 2 = -2*b + 6, 10 = 5*b + 2*c. Suppose -x - b = 3. Let s(m) = -4*m. What is the lowest common multiple of s(x) and 2?
20
Calculate the common denominator of -43/184 and (7923/(-152))/(6*69/(-8)).
552
Suppose -3481 = -15*k + 14*k. Let a = 125303/36 - k. Calculate the common denominator of 37/8 and a.
72
Suppose 24*a - 26*a = -30. Calculate the least common multiple of 0 + (-2)/4*-6 and a.
15
What is the common denominator of 6489/(-1242) - 0 - -6 and 59/184?
552
What is the common denominator of -57/7 and 36/(-48)*310/15?
14
Calculate the lowest common multiple of 75 and ((-145)/(-87))/((-10)/(-6)) + 2.
75
Suppose 5*f + 45 = l, -99 = 2*l - 5*l + 3*f. What is the common denominator of 151/(-10) + l/6 and -44/3?
30
Let b = 556 - 516. Calculate the least common multiple of b and 4.
40
Find the common denominator of 119/20 and 1869/1008*(-4)/(-6).
360
Calculate the common denominator of -13 + 2298/144 + 5/(-4) and -41/116.
696
Suppose -h = -2*j + 11, -3*j - 5*h = -4*h - 24. What is the smallest common multiple of j and 11?
77
Let x = 281822/33 - 8539. Let q = 1968/13 - 14769/104. Find the common denominator of q and x.
264
Suppose 3*j = 3*c + 147, -2*j = 4*c - 5*j + 194. Let x = -36 - c. Calculate the least common multiple of x and 9.
99
Let a = -2630/6669 - -21/494. Find the common denominator of -25/9 and a.
54
Suppose 140 = 2*u + 3*u + 5*t, 0 = -3*u + 3*t + 84. Suppose -u = -3*v - 1. Calculate the lowest common multiple of 2 and v.
18
Suppose -4*q - 9 = 39. Find the common denominator of 97/6 and 3*q/9 - 102/4.
6
What is the common denominator of 33/4 and (-165)/(-4)*(-12)/1098?
244
Suppose -1065 = -3*h + 5*p, -3*h = -18*p + 22*p - 1092. What is the lowest common multiple of 16 and h?
720
Let s = 390 + -366. Calculate the lowest common multiple of s and 32.
96
What is the common denominator of (392/16 + 3)*(-4)/6 and 155/66?
66
Let m(s) = -s + 11. Let r be m(9). Suppose 76 = -13*z + 17*z. Suppose y + 5*t - z = 0, -r*t = -5*y + 19 - 5. What is the smallest common multiple of 18 and y?
36
Let h = 431/348 - 5/4. Let u = h - 5117/1392. Calculate the common denominator of (0 + 39)*1/4 and u.
16
Suppose -5*d - 10 = 0, i + i + d + 18 = 0. Let r be (i/(-6))/((-2)/(-72)). What is the common denominator of (-3)/(-12) - (-1204)/r and 27/7?
21
Suppose 26*t = 23*t - 2*l + 16, 5*t + 5*l - 35 = 0. Calculate the lowest common multiple of t and 74.
74
Suppose 0 = 5*b - 4*a - 47, 4*b + 9*a = 6*a + 50. Suppose 0 = -5*z + 59 + 11. What is the least common multiple of (-15)/(z/(-4) - -2) and b?
110
Suppose 75 + 51 = 3*z. Suppose -y + z = 12. Calculate the least common multiple of y and 27.
270
Let j(q) = -q**3 + 26*q**2 + 2*q + 111. What is the smallest common multiple of j(25) and 4?
1572
Let g = 20 - 12. Suppose -5*h = -2*j + 15, -5*j + 4*h = -32 - 14. What is the lowest common multiple of g and j?
40
Let g = 4311 - -15102. Suppose 0 = 2*o - g + 1951. Let w = 52273/6 - o. Find the common denominator of w and 69/10.
30
Let g be 0 + -5 + -8 + -1 + 2. What is the lowest common multiple of 7 and (-2 - -11)*(-3)/g*4?
63
Suppose -3*s - 45 + 243 = 0. Calculate the smallest common multiple of s and 9.
198
Find the common denominator of -93 - -93 - 94/30 and ((-5)/15)/(3/58).
45
Let v = 21 + -5. Let u(a) = -1 - 3 - 1 - 2*a + 3*a. Calculate the lowest common multiple of v and u(9).
16
Find the common denominator of (-477)/36 + -1*4/(-8) and 93/16.
16
Let x = 493/24 - 7/8. Find the common denominator of x and (149/5)/(48/(-5)).
48
What is the common denominator of -28/45 and (1/2)/((-55)/(-134) - 0)?
495
Calculate the common denominator of 53/42 and (-30 - -32) + 2/(-96).
336
Let g(f) = 3*f - 34. Let i = 39409/37 + -1065. Let h = 1435/74 + i. What is the common denominator of g(18) and h?
2
Let t(c) = c**3 - 2*c**2 - 3*c - 4. Let j be t(3). Let f = 279417/29032 - -2/3629. Calculate the common denominator of (-2018)/(-252) - j/(-14) and f.
72
Let o be (-8)/(-48) + (-21)/1584*1438. Let g = o - -102/11. What is the common denominator of 41/22 and g?
88
Suppose -5*g = -3*f - 11, -2*f - g - 2*g + 18 = 0. Suppose 0 = 9*t + 102 - 210. What is the lowest common multiple of f and t?
12
Let r = -54/13 + 677/260. Let n = 349/140 + -29/7. Find the common denominator of r and n.
20
Let c = 62 + -1847/30. Let j = c - 139/15. Find the common denominator of j and 24/(-18) + 347/60.
60
Let q = 98447/3373 - 508301735/14126124. Let m = -42/349 + q. Find the common denominator of m and 91/20.
60
Let p(j) = -j**2 + 17*j + 15. Let b be p(18). Calculate the lowest common multiple of 0 - -25 - (1 + -1 + b) and 7.
28
Let z be (8/6)/(12/(-918)). Suppose 5*h + 14 = -2*f - 2, -4*f = 4*h + 20. What is the common denominator of (2/14)/(h/z) and 21/5?
35
Suppose 0 = 27*w - 736 + 169. What is the least common multiple of w and 21?
21
Let j be (-22874)/(-30) + 2/(-15). Let x = -785 + j. Calculate the common denominator of x and 23/18.
18
Let c be (-1)/88*12/(-9). Let y be ((-3295)/66)/(-5) - 20/120. Let i = c + y. Calculate the common denominator of -25/6 and i.
6
Let v = 20307/3970 + -6/397. Let o = -712555/41308 - 2/10327. Calculate the common denominator of v and o.
20
Let y = 109/22 + 50/11. Let w be (2 + (-3 - -1))*-1. What is the common denominator of (-61)/(w + 1 - -2) and y?
6
Find the common denominator of -13/9 and (-194)/772 + 1/5.
17370
Find the common denominator of 145/(-20)*((-39)/(-6) + -6) and 52/5.
40
Suppose -3*r = -5*b + 2*b + 69, 0 = -5*b - 3*r + 123. Let t = -630 + 638. What is the smallest common multiple of b and t?
24
Suppose 16*i = 38*i - 484. Let m(j) = -j**2 - 8*j + 6. What is the lowest common multiple of m(-8) and i?
66
Le | {
"pile_set_name": "DM Mathematics"
} |
0)/(0 - 1) - 0. What is g(a)?
-2
Let n(r) = -56*r + 399. Let t be -9 + 273/13 + -5 + 0. What is n(t)?
7
Let g(b) be the third derivative of b**4/24 + 23*b**2. Let d = -27 - -23. Let j be 2/d*-10 - -1. Calculate g(j).
6
Suppose -3*c + u - 20 = 0, -43 - 2 = 5*c - 4*u. Let i = 85 - 79. Let o(p) = i + 4*p + 0*p**2 + p**2 + 0 + 0*p. Determine o(c).
11
Let h(d) be the first derivative of -d**3/3 - 3*d**2 + 5*d - 1. Let g(m) = 4*m**3 + 98*m**2 - 142*m - 4566. Let l be g(-24). What is h(l)?
5
Let f(c) = 4*c**3 - 2*c**2 - 2*c + 2. Suppose 3*h + 3*n = 3, -11*h + 7 = -7*h + 3*n. Suppose -b - 18 = -5*r, r + 8 = -2*b + h*r. Calculate f(b).
22
Let c be (-4)/((-8)/10) - 2. Let w(r) = 134 - 5*r**2 - c*r + 0*r - 137 - r**3. What is w(-2)?
-9
Let g(s) be the first derivative of 20 - 1/2*s**2 + 3*s - 1/6*s**3. Let x(n) be the first derivative of g(n). Calculate x(2).
-3
Let u(p) = 801*p + 1601. Let v be u(-2). Let d(n) = 12*n**2 - 4*n - 5. What is d(v)?
11
Suppose -f = -6*f - 5. Let m(n) = 7*n**2 + 3*n + 2. Let t be m(f). Let i(g) = 5*g**2 - 8*g**2 + 219*g + 2 + 4*g**2 - 225*g. Determine i(t).
2
Let f(o) be the second derivative of 3/2*o**3 - 1/12*o**4 + 0 + 3*o**2 - 107*o. Give f(9).
6
Let s(w) = -3*w + 7. Let q be (7/((-833)/68))/(2/(-21)). What is s(q)?
-11
Let w(l) = l**2 + l + 11. Suppose 45*c = 11*c. Give w(c).
11
Let z(g) = 5*g**2 + 0 - 7*g**2 + 12*g - 6 + 0*g**2 + 8*g. What is z(11)?
-28
Suppose 3*g - a + 44 = 0, 4*g + 60 = 3*a - a. Let b(j) = -j**3 - 16*j**2 - 30*j - 18. Calculate b(g).
10
Let a be 2/(-13) - (24 - 186/26). Let j(l) = 4*l + 61. Give j(a).
-7
Let h(b) = b**2 + 4*b - 25. Suppose 7*r = 18*i - 19*i - 47, -4*r - 26 = i. Calculate h(r).
-4
Let n(i) be the first derivative of -i - 99 - 3/2*i**2. Determine n(-2).
5
Let c(k) = 76*k + 35. Let u(d) = 20*d + 9. Let n(t) = -3*c(t) + 11*u(t). Give n(-2).
10
Let h = 1 - -2. Suppose 4*v = -3*p - 18, h*v - 7 = 5*p - 6. Let k(x) = 2*x**3 - 3*x**2 - 2*x - 1. Give k(p).
-25
Let z = -530 - -750. Let h(b) = -71*b - 80*b - 67*b + 4 + z*b. Determine h(-3).
-2
Suppose -2*c + 10 = -b, -48*c + 52*c = 24. Let y(s) be the third derivative of -2*s**5/15 - s**4/24 + s**3/3 - 5*s**2. Give y(b).
-32
Let x(f) = 1. Let b be (-15)/10 - -5*(-3)/(-6). Let p(k) = 10*k + 2*k**2 - 4*k - 1 - 3*k. Let m(l) = b*p(l) - 3*x(l). Give m(-3).
5
Suppose 72*f - 50*f + 14 = 36*f. Let b(l) be the first derivative of -16*l**3/3 - l**2/2 + l - 1. Give b(f).
-16
Let m be 8/60 + (-107)/15. Let n(y) be the third derivative of 4*y + 0 - 5/12*y**4 - 5/6*y**3 - 1/60*y**5 + 3*y**2. What is n(m)?
16
Let s(f) be the third derivative of -f**6/120 - 2*f**5/15 - 7*f**4/24 - 2*f**3/3 - 64*f**2 + 117*f - 2. Let u be 1/4 - (-17)/(-4). Give s(u).
-40
Let j be (12/(-16)*8)/(6/4). Let a(v) = 13*v + 22. Give a(j).
-30
Let o(t) = t**3 + 14*t**2 - 13. Suppose 3*x + 2*f + 29 = -9, 5*f - 38 = 2*x. What is o(x)?
-13
Suppose 2*z + z - 5*f - 21 = 0, -4*z + 57 = 3*f. Let r(v) = v**2 - 12*v + 3. Let q be r(z). Let w(y) = 21 + 5*y + q*y - 4*y - 5*y. Give w(0).
21
Suppose -49*g = -75 + 104 + 412. Let k(n) = -2*n**2 - 18*n + 2. Give k(g).
2
Let m be ((-15)/5 - -4)*0. Let o(l) = -6*l + 8 - l**2 + 7*l + m*l - 9. Calculate o(1).
-1
Let z(n) be the second derivative of -1/12*n**4 + 0 - 3*n - 11/2*n**2 + 1/6*n**3. Suppose -4*r - 6 = 2*s, 532*s - 3 = -r + 533*s. Calculate z(r).
-11
Let h be (-3)/(-3) + (-6 - -1). Let a be 3 - (h + 2 + 9). Let p(d) be the third derivative of -d**6/120 - d**5/15 - d**4/24 - d**3/3 - 24*d**2. Give p(a).
2
Let u(k) = k**3 + 6*k**2 - 3*k - 41. Let p be u(-4). Suppose f = 5*m, 5*m - p*f + 27 = 17. Let g(d) = -5*d**3 - 2*d + 1. Give g(m).
-6
Let l = -82 - -82. Suppose -10 + l = 5*y. Let s(t) = 5*t**2 - t + 1. What is s(y)?
23
Let t be (-4)/18 + (-15)/((-675)/370). Let b(n) = -15*n + 49. Let k(l) = 8*l - 25. Let d(v) = 6*b(v) + 11*k(v). What is d(t)?
3
Let t(p) be the third derivative of -p**5/60 + 19*p**4/12 - 29*p**3 + 35*p**2 + p - 12. Determine t(33).
-9
Let n be 0*12/288*4. Let t(y) = -y + 2. Give t(n).
2
Let v(d) = 46 - 3 + 130*d**3 + 41*d**2 - 181*d - 131*d**3 - 2. What is v(36)?
5
Suppose -50190 + 50547 = 9*k - 26*k. Let t(r) = -r - 3. What is t(k)?
18
Let k(x) be the first derivative of x**2/2 + 24*x + 105. Let y(u) = 2*u + 46. Let q(w) = -5*k(w) + 2*y(w). Give q(0).
-28
Let w(g) = g**3 - 12*g**2 + 11*g + 3. Let p be ((-2420)/(-80))/(2 - 7/4). Let x = 132 - p. Determine w(x).
3
Let d be 7 - (-10 + 1 - -9). Let x(c) = -46*c**2 + 4*c - 3*c - 4*c + 49*c**2 + 2 + d*c. What is x(-2)?
6
Let q(o) be the third derivative of o**6/144 - o**5/15 - 253*o**4/24 + 7*o**2 - 4. Let r(m) be the second derivative of q(m). Calculate r(5).
17
Let b(p) = 3*p**2 + 21*p - 13. Let y = -6409 - -6401. What is b(y)?
11
Let d(s) = s**3 + 17*s**2 - 5. Let y be d(-17). Let p(r) = -21*r - 6. What is p(y)?
99
Let r(w) be the first derivative of w**4/12 + 2*w**3/3 + w**2 - 22*w + 21. Let j(q) be the first derivative of r(q). Determine j(-4).
2
Let p(r) = 74480 - 37234 - 16*r - 37230. Give p(4).
-48
Suppose 0 = 3*c - 2*d - 16 - 44, -2*c + 40 = 2*d. Let b(o) be the first derivative of o**3/3 - 19*o**2/2 - 14*o - 8. Give b(c).
6
Let l(c) = 11*c + 1. Let o(p) = -67*p - 4. Let h(t) = 6*l(t) + o(t). Give h(23).
-21
Let a(i) = 2*i**2 + 9*i + 15. Let g(l) = l**2 + 4*l + 8. Suppose -11*o + 8 = -9*o. Let n be (o - 0) + -8 + 0. Let m(x) = n*a(x) + 9*g(x). Give m(0).
12
Let v be (0 - -5)/(0 + -1). Let x(t) = 3*t - 20. Let w(o) = -2. Let s(a) = v*w(a) + x(a). Determine s(7).
11
Let x(p) = -9*p - 68. Let w be (6 - (-54)/(-12))*-4. Let d be x(w). Let j(z) = z**2 + 13*z - 2. Give j(d).
12
Let z(x) = 3*x + 65. Suppose 3*l - 122 = -l - 3*j, -4*j = -2*l + 28. Give z(l).
143
Let b(a) be the second derivative of -a**4/12 - 2*a**3/3 + 58*a**2 - 4650*a. Calculate b(10).
-24
Suppose 246*i + 917 = 3377. Let x(a) = a**3 - 12*a**2 + 21*a - 10. Calculate x(i).
0
Let y(a) be the second derivative of a**4/12 + 8*a**3/3 + 19*a**2/2 - 7282*a. Suppose -2*l - 4 = 26. What is y(l)?
4
Let q(w) = -13*w**2 + 155*w + 17. Let a(i) = -2*i**2 + 190*i - 2388. Let o be a(15). Determine q(o).
5
Let y(t) = -122*t**2 - 26*t - 27. Let p be y(-1). Let k be p/12 + 21/(-28). Let w(g) = -g**3 - 10*g**2 + 11*g. Calculate w(k).
0
Let n(a) = -a**2 - 12*a - 4. Let l = 417 + -232. Suppose 0 = 4*c - 3*o - 145, -4*c - 6*o + o + l = 0. Suppose 5*x + 20 = -c. Determine n(x).
-4
Let a(s) = -s - 21. Suppose 0 = -11*m - 600 + 61. Let g be m/(-21) + 111/(-9). Calculate a(g).
-11
Let t be ((-80)/(-36))/1 - (-2)/(-9). Let h(y) = 7*y - 6 + 5 - y + 0 + y**t. What is h(-7)?
6
Let d(o) be the first derivative of -o**4/4 - 4*o**3/3 + 3*o**2 + 9*o + 2. Let w = -24207 - -24201. Calculate d(w).
45
Let u(z) = z**2 - 5*z + 6. Let p be u(5). Let l(n) = 4*n**2 - 6 - 4*n + 7*n**2 + 8*n**2 + 15*n**2 - 33*n**2. Calculate l(p).
6
Let d(c) = -c**2 - 13*c + 3. Let s(q) = 185*q - 14. Let y be s(0). Calculate d(y).
-11
Let y(b) be the second derivative of 4*b - 25 + 1/2*b**2 + 1/6*b**4 - 1/3*b**3. Let s(u) = -u**3 + 4*u**2 + 2*u - 5. Let c be s(4). Give y(c).
13
Let g = 2 + -2. Let h(r) = r + 3721*r**2 - 11141*r**2 + 3700*r**2 + 30 + 3721*r**2. Determine h(g).
30
Let y(t) = -t**2 - 3*t - 32. Let z = -16333 + 16333. Give y(z).
-32
Suppose -2 = t, o + 47*t - 44*t + 28 = 0. Let y(l) = -3*l - 63. Give y(o).
3
Let a(i) = 1. Let x(h) = h**3 - 6*h**2 + 2*h + 6. Suppose j + 6 = -j. Let p(v) = j*a(v) + x(v). Suppose 207*m = 190*m + 85. Give p(m).
-12
Let v be (-6)/(-3) + 31 - -3. Suppose 0*w + 9*w = v. Let p(o) = -1 - 4*o**3 + 4*o + 3*o**3 + 3*o**2 + 1. What is p(w)?
0
Let x(n) = 0 + 3 - 13*n - 581710*n**2 + 581711*n**2. What is x(18)?
93
Let j(f) = -f - 2. Let l(k) = -16*k**2 + 9*k - 23. Let w(h) = -7*h**2 + 4*h - 11. Let b(p) = -4*l(p) + 9*w(p). Let m be b(-3). Give j(m).
-4
Let b(f) = -f**3 + 5*f**2 + 4*f - 11. Let t be b(5). Suppose -t*d + 3*d + 12 = 0. Let y(u) = 3 - 7*u - d*u**2 + 0*u - 8*u + 21*u. Determine y(5).
-17
Let k = -16730 - -16727. Let l(n) = -35*n - 110. Calculate l(k).
-5
Suppose 3*q + 45 = 12*q. Let g(x) = q - x - 12 + 6 - 2*x. Let r(o) = o**2 + 9*o + 6. Let w be r(-8). Calculate g(w).
5
Suppose 16*k = -4*f + 11*k + 298, 5*f + k = 383. Let i = f - 74. Let t(r) be the third derivative of r**5/60 + r**4/8 + r**3/3 - r**2. Determine t(i).
20
Let h( | {
"pile_set_name": "DM Mathematics"
} |
+ 52*g + 10*g.
-5*g**2
Collect the terms in 558*n + 202*n - 1319*n + 564*n.
5*n
Collect the terms in 14*g**2 + 7947*g**3 + 10849*g**3 - 14*g**2.
18796*g**3
Collect the terms in -w**2 + 2193 + w**2 + 6538*w**3 + 0*w**2 - 2192.
6538*w**3 + 1
Collect the terms in -8010*n**3 + 3992*n**3 + 4087*n**3.
69*n**3
Collect the terms in 7634*m**2 - 7634*m**2 - 1419*m**3.
-1419*m**3
Collect the terms in -25555*z**2 + 12782*z**2 + 12791*z**2 + 41*z + 35*z - 76*z.
18*z**2
Collect the terms in 46*b**2 + 44*b**2 - 47 - 165*b**2 + 88 + 37*b**2 + 39*b**2.
b**2 + 41
Collect the terms in 86410*d**2 + 86895*d**2 - 174674*d**2.
-1369*d**2
Collect the terms in 1381*d + 1327*d + 2 - 5576*d + 1353*d + 1391*d.
-124*d + 2
Collect the terms in -4*g - g - 4936827163 - 3*g + 4936827163.
-8*g
Collect the terms in 15*n - 7*n - 170*n**2 + 527*n**2 - 181*n**2 - 8*n - 178*n**2.
-2*n**2
Collect the terms in 601*t**2 + 590*t**2 - 1810*t**2 + 624*t**2.
5*t**2
Collect the terms in 2*i**2 - 22*i**2 + 4133 - 4203.
-20*i**2 - 70
Collect the terms in -18294 + 5*f - 18038 + 36334.
5*f + 2
Collect the terms in 18029*v**2 + 30888*v**2 - 9012*v**2.
39905*v**2
Collect the terms in -2423*s**3 + 384*s**2 - 2 - 384*s**2.
-2423*s**3 - 2
Collect the terms in -4017 - 4646 + 7*q**2 - 6*q**2 + 8663.
q**2
Collect the terms in 536*i + 522*i - 126*i - 44*i - 126*i.
762*i
Collect the terms in -1613*s + 111 + 1535*s + 203.
-78*s + 314
Collect the terms in 1057*q - 7 - 1959*q + 1064*q + 17*q**2.
17*q**2 + 162*q - 7
Collect the terms in -1294 - 144*y - 44433 + 135*y.
-9*y - 45727
Collect the terms in -511*c - 1 + 50*c + 2 + 988*c - 4 + 844*c.
1371*c - 3
Collect the terms in 3*o**2 + 68*o + 97*o - o**2 + 203*o.
2*o**2 + 368*o
Collect the terms in 2159*q**2 - 3795*q**2 + 1714*q**2.
78*q**2
Collect the terms in 94 + 3242*o**3 - 94 + 497*o**3.
3739*o**3
Collect the terms in -15297*m + 7906*m + 7970*m.
579*m
Collect the terms in 71*l**3 + 3503*l**2 - 3503*l**2 + 23*l**3.
94*l**3
Collect the terms in 4561 + 3*h - 7*h - 13698 + 3*h + 4553 + 4572.
-h - 12
Collect the terms in -12*r - 4104 - 5565*r**3 + 8207 - 4103.
-5565*r**3 - 12*r
Collect the terms in 0 - 40799*d**2 + 163180*d**2 - 40794*d**2 - 40796*d**2 - 1 - 40796*d**2.
-5*d**2 - 1
Collect the terms in 2217*l - 80*l - 11024*l - 9658*l - 4274*l.
-22819*l
Collect the terms in -83*z - 11*z - 3*z - 7*z + 136*z.
32*z
Collect the terms in -156*w + 29*w + 41*w + 46*w + 46*w - 3*w.
3*w
Collect the terms in 0*y - 29*y + 78*y - 198*y**2 - 49*y.
-198*y**2
Collect the terms in 189522824*d - 31*d**3 - 189522824*d.
-31*d**3
Collect the terms in 11*w**3 + 35*w**2 - 32*w**2 - 6*w**3 + 20*w**3 - 25*w**2.
25*w**3 - 22*w**2
Collect the terms in -127806*n**3 + 63857*n**3 + 63947*n**3.
-2*n**3
Collect the terms in 719398*l**2 - 719400*l**2 + 7*l - l - 6*l.
-2*l**2
Collect the terms in 4731*q**2 - 14292*q**2 + 57*q - 4*q**3 + 9561*q**2.
-4*q**3 + 57*q
Collect the terms in 56218 - 7484*k**2 + 7485*k**2 - 56218.
k**2
Collect the terms in 27540*l**3 - 27516*l**3 - 120*l + 120*l.
24*l**3
Collect the terms in -865*q**3 - 893*q**3 + 1363*q**3.
-395*q**3
Collect the terms in 73*n**2 + 64*n**2 - 768*n + 73*n**2 - 208*n**2 + 768*n.
2*n**2
Collect the terms in -160 + 3*l + 583 - 91 + 86.
3*l + 418
Collect the terms in 217*i**3 + 253 + 148*i**3 - 58*i**3 - 526 + 264.
307*i**3 - 9
Collect the terms in -8801*s**2 + 4429*s**2 - 11298*s**2.
-15670*s**2
Collect the terms in -493*j + 493*j - 4277*j**2 - 17516*j**2 - 2370*j**2.
-24163*j**2
Collect the terms in 55629099*o - 55629099*o + 1311*o**2 + 728*o**2.
2039*o**2
Collect the terms in -6294*j - j**3 - 7*j**3 - 6*j**2 - 3957*j + 7*j**3 + 3.
-j**3 - 6*j**2 - 10251*j + 3
Collect the terms in 3*r + 254934*r**3 - 256760*r**3 - 3*r.
-1826*r**3
Collect the terms in 35 + 150*p - 75 + 40 - 69*p - 84*p + 11*p.
8*p
Collect the terms in 14499*j**3 + 764*j**2 - 764*j**2 - 14589*j**3.
-90*j**3
Collect the terms in -475*g + 41*g - 238*g + 90*g.
-582*g
Collect the terms in 5080*n**2 - 9037*n**2 + 16217*n**2.
12260*n**2
Collect the terms in 1647*b - 3 - 1 - 8090*b + 3 - 4444*b.
-10887*b - 1
Collect the terms in 5731 - 15894 + 5726 + 4*l + 4437.
4*l
Collect the terms in -1538738*w + 3*w**3 + 3076438*w - 16*w**2 - 1537700*w.
3*w**3 - 16*w**2
Collect the terms in -12828*l + 24565*l - 11754*l.
-17*l
Collect the terms in -4867*x**3 - 5 + 3 + 1 + 365*x**3.
-4502*x**3 - 1
Collect the terms in 81*h + 87*h - 167*h - 9880 - 5*h**2 + 9880.
-5*h**2 + h
Collect the terms in -102*h**3 + 2*h**2 - 69 - 2*h**2 + 69 + 50*h**3.
-52*h**3
Collect the terms in -112*z + 510*z - 105*z + 11 - 102*z - 116*z - 102*z.
-27*z + 11
Collect the terms in -11*d + 4*d**3 - 3*d + 73082*d**2 + d**3.
5*d**3 + 73082*d**2 - 14*d
Collect the terms in -18*t**3 + 20*t**3 + 83 + 5 + 8.
2*t**3 + 96
Collect the terms in 2549144 - 1274536 - 1274608 - 14*a**2.
-14*a**2
Collect the terms in 1208876*v**3 - 281717*v**3 + 569546*v**3 + 18049*v**3.
1514754*v**3
Collect the terms in 1 - 112*o + 308*o - 113*o - 102*o.
-19*o + 1
Collect the terms in 791 + 155*c + 299*c + 436 + 220.
454*c + 1447
Collect the terms in -146578*d**2 + 48079*d**2 + 48347*d**2 + 50151*d**2.
-d**2
Collect the terms in -2877*s**3 + 1229*s**3 + 1659*s**3.
11*s**3
Collect the terms in 3 - 3 - 42*i - 7 - 338*i - 109*i.
-489*i - 7
Collect the terms in -28146 + 13667*y**2 + 56292 - 28146.
13667*y**2
Collect the terms in 755*n**3 + 754*n**3 - 7 + 7 - 3036*n**3 + 760*n**3 + 765*n**3.
-2*n**3
Collect the terms in 616984 + 616993 + 3*v + 3*v + 616999 + 616989 - 2467965.
6*v
Collect the terms in -1503*q - 1247*q - 7 - 2103*q - 131*q.
-4984*q - 7
Collect the terms in 2740*w**2 + 2744*w**2 - 5484*w**2 + 61523*w**3 - 61524*w**3.
-w**3
Collect the terms in -217564*s - 217765*s - 217574*s + 652902*s.
-s
Collect the terms in -323216581344 + 323216581344 - 16*y**3.
-16*y**3
Collect the terms in 9112 - 3041 - 189*g**3 - 3039 - 3032 - 83*g**3.
-272*g**3
Collect the terms in -19 + 14 + 1 - 26 + 405*r**2 + 1681*r**2.
2086*r**2 - 30
Collect the terms in -34663 + 1137*s - 570*s + 3*s**2 + 2*s**2 - 567*s.
5*s**2 - 34663
Collect the terms in 6*c**2 + 20*c + 915 + 28*c - 176.
6*c**2 + 48*c + 739
Collect the terms in 287*l**2 + 59 - 4*l - 9*l + 14*l + 475*l**2.
762*l**2 + l + 59
Collect the terms in -1004*s**3 + 243*s**3 + 249*s**3 + 244*s**3 + 271*s**3.
3*s**3
Collect the terms in 137*u**3 - 11*u**3 + 167*u - 174*u + 7*u.
126*u**3
Collect the terms in 5*n**2 + 142260*n**3 - 5*n**2.
142260*n**3
Collect the terms in 22*x**2 - 120712*x - 39516*x - 42*x**2.
-20*x**2 - 160228*x
Collect the terms in -1318*k - 1315*k - 1317*k - 187 - 1317*k + 5262*k.
-5*k - 187
Collect the terms in 119*t + 167*t - 301*t + 191*t.
176*t
Collect the terms in -43*c - 249525*c**3 + 958117*c**3 + 43*c.
708592*c**3
Collect the terms in 3356*u + 32*u**2 - 9968*u + 3300*u + 3311*u.
32*u**2 - u
Collect the terms in 2253390667 - 2253390667 + 3*k**3.
3*k**3
Collect the terms in -462*y**2 + 182*y**2 + 180*y**2 - 2*y + 149*y**2 + 2*y.
49*y**2
Collect the terms in -272*c**3 + 570*c**3 + 25 - 29 - 306*c**3.
-8*c**3 - 4
Collect the terms in 929*c**2 + 5*c - 4*c + 17*c - 18*c + 0*c.
929*c**2
Collect the terms in -1041261199*f + 1041261199*f + 9*f**2.
9*f**2
Collect the terms in 4*b**2 + 23289 - 162*b - 11641 - 11648 - 2*b**2.
2*b**2 - 162*b
Collect the terms in 207 + 174*z - 65*z + 307*z.
416*z + 207
Collect the terms in -56*z**2 - 4354 + 156*z**2 - 101*z**2.
-z**2 - 4354
Collect the terms in -439 + 1767 - 446 + 170*a**3 - 436 - 446.
170*a**3
Collect the terms in -176*u - 26*u - 161*u + 815*u - 85*u.
367*u
Collect the terms in 3043 + 3043 + 3039 + 5*k - 9133.
5*k - 8
Collect the terms in -5 - 15 + 12 + 29*g**2 + 1 + 5.
29*g**2 - 2
Collect the terms in -69077*g**2 - 102405*g**2 + 3340*g**2 - 95792*g**2.
-263934*g**2
Collect the terms in 468575*m + 15*m**2 - 9*m**2 - 8*m**2.
-2*m**2 + 468575*m
Collect the terms in -2035931 + 2035931 + 904*m**3.
904*m**3
Collect the terms in 732018*g**2 + 596729*g**2 - 447842*g**2.
880905*g**2
Collect the terms in 29435*z**2 - 16464*z**2 - 12972*z**2.
-z**2
Collect the terms in 43*f - 104*f - 39*f + 105*f.
5*f
Collect the terms in 311225*m - 640760*m + 329539*m.
4*m
Collect the terms in 26*p**2 - 160 + 344 - 84 - 100.
26*p**2
Collect the terms in -1 + 13710313*r**2 + 1 - 27 | {
"pile_set_name": "DM Mathematics"
} |
prime?
True
Is 101672340037 a composite number?
True
Is 219444371 a composite number?
True
Is 10237018853 composite?
True
Is 10348918247 composite?
True
Is 87166873 a composite number?
False
Is 558680933 a prime number?
True
Is 8113810102 a prime number?
False
Is 367292369953 a prime number?
False
Is 60133234223 a prime number?
True
Is 289095659443 composite?
True
Is 703921729 a composite number?
True
Is 2190154597 a prime number?
True
Is 3649442977 a composite number?
True
Is 7550865797 a composite number?
True
Is 8766772187 a prime number?
True
Is 20663892427 composite?
True
Is 9449550769 composite?
True
Is 2335451603 composite?
False
Is 55994427607 prime?
True
Is 920166757 prime?
False
Is 233681671 a prime number?
True
Is 37804258697 a composite number?
False
Is 5074874131 a prime number?
True
Is 9156835343 a composite number?
False
Is 277185481 composite?
True
Is 1124359867 composite?
False
Is 278209717 a prime number?
False
Is 46611101 a composite number?
False
Is 9200096333 a composite number?
True
Is 28919868581 a composite number?
False
Is 1139046809 prime?
True
Is 31611189221 a composite number?
False
Is 43065954541 a composite number?
False
Is 11365787339 a prime number?
False
Is 2980494469 a composite number?
False
Is 1268266577 a composite number?
True
Is 3109806811 composite?
False
Is 95509443011 a prime number?
True
Is 54029644913 a composite number?
False
Is 57701074927 composite?
True
Is 36995347591 prime?
False
Is 69929009341 composite?
False
Is 169372639 a composite number?
False
Is 304289 prime?
False
Is 2737039127 prime?
False
Is 4528723867 a prime number?
True
Is 5119058911 a composite number?
True
Is 39455182307 composite?
True
Is 37891109 a composite number?
False
Is 386802851 composite?
True
Is 363531923 prime?
True
Is 485614189 a prime number?
True
Is 15091169441 a prime number?
True
Is 1023869669 a composite number?
True
Is 1306465703 composite?
True
Is 17026773121 a prime number?
True
Is 11604327391 a composite number?
False
Is 187727513465 composite?
True
Is 130318763 a composite number?
True
Is 1532031889 a composite number?
True
Is 270564494227 a composite number?
True
Is 159766917 a prime number?
False
Is 4457526631 a prime number?
False
Is 739997593 a composite number?
False
Is 2025147409 a prime number?
True
Is 1116761531 a prime number?
False
Is 92102077 a prime number?
True
Is 135484093 a prime number?
False
Is 40712845219 a composite number?
False
Is 18401210351 composite?
False
Is 300281881 a composite number?
False
Is 2683087535 composite?
True
Is 5741448235 prime?
False
Is 28579930301 prime?
False
Is 14955912941 composite?
True
Is 149073523 composite?
True
Is 6054216149 a prime number?
False
Is 25228446611 a prime number?
False
Is 8526394579 a composite number?
True
Is 435244483 a prime number?
False
Is 4310609213 a prime number?
False
Is 995892991 prime?
True
Is 3316468781 a composite number?
True
Is 6430170181 prime?
True
Is 7058855833 prime?
False
Is 1769626483 prime?
False
Is 5150394877 a composite number?
False
Is 6570520067 a composite number?
True
Is 13801442119 composite?
False
Is 6495583897 prime?
False
Is 4185233827 prime?
True
Is 133711964567 composite?
False
Is 2309411269 a composite number?
True
Is 8908581083 a composite number?
True
Is 362750977 a composite number?
True
Is 8625976481 prime?
False
Is 837520107 composite?
True
Is 493782455093 a composite number?
False
Is 1948968271 composite?
False
Is 10888790413 a composite number?
False
Is 19500102631 a composite number?
False
Is 932348314 a prime number?
False
Is 2793782167 composite?
True
Is 1874564047 prime?
False
Is 478005049 a composite number?
False
Is 4714611821 a prime number?
True
Is 23796197 composite?
True
Is 3862960342 a composite number?
True
Is 22428564911 a prime number?
True
Is 2207572799 a composite number?
True
Is 9938311649 prime?
False
Is 1465451327 prime?
True
Is 18055712867 prime?
True
Is 9336201821 a prime number?
True
Is 16208279 a composite number?
True
Is 1260534017 a composite number?
False
Is 3745694779 a prime number?
False
Is 860804666 composite?
True
Is 550946867 composite?
False
Is 8896361359 a prime number?
True
Is 104172153055 prime?
False
Is 3990571573 a composite number?
True
Is 233177689 prime?
True
Is 68461626397 a prime number?
True
Is 6129397613 a prime number?
True
Is 4337173507 a composite number?
True
Is 1525510141 composite?
True
Is 306614827 prime?
True
Is 8831538563 a prime number?
False
Is 3365082857 a composite number?
False
Is 27411962869 composite?
True
Is 291826571203 a composite number?
False
Is 11822275957 composite?
True
Is 40532486783 prime?
False
Is 223588329 a prime number?
False
Is 107750478193 composite?
False
Is 1745247617 composite?
False
Is 238095853 a composite number?
True
Is 2465872691 a composite number?
True
Is 4206414659 a prime number?
True
Is 304502579 prime?
True
Is 125998079 composite?
True
Is 44023335313 prime?
False
Is 34105823 a composite number?
True
Is 5096668939 prime?
False
Is 6395010703 prime?
True
Is 67121473 composite?
False
Is 1356715049 a prime number?
True
Is 10546916059 composite?
True
Is 4414931 prime?
False
Is 3134777839 a composite number?
True
Is 148957583 a composite number?
True
Is 6425010827 a composite number?
True
Is 23003889053 composite?
False
Is 25750588151 a composite number?
False
Is 15609465481 prime?
True
Is 31181959 composite?
False
Is 41492456513 a composite number?
False
Is 21704046317 composite?
False
Is 725163419 a composite number?
True
Is 10528878658 composite?
True
Is 102792707 a prime number?
True
Is 6227034349 prime?
True
Is 67173567349 composite?
True
Is 6484256993 a prime number?
False
Is 4503990077 a prime number?
False
Is 5476599587 composite?
False
Is 3457688749 a composite number?
True
Is 7715280791 a prime number?
True
Is 6684781673 composite?
True
Is 48127199509 composite?
False
Is 77172384073 a composite number?
False
Is 9660217774 prime?
False
Is 25100647391 a prime number?
False
Is 49415642817 prime?
False
Is 2288339033 a composite number?
True
Is 25271260967 a composite number?
True
Is 884227217 prime?
True
Is 440524603 composite?
False
Is 50026159 a prime number?
False
Is 239772940343 prime?
False
Is 2220787329 a prime number?
False
Is 2502772199 a composite number?
False
Is 1475844023 composite?
False
Is 465139223 composite?
False
Is 2934289129 composite?
True
Is 228781417 prime?
False
Is 264113099 a prime number?
True
Is 977060759 a prime number?
False
Is 497372143 composite?
True
Is 132530803 prime?
True
Is 37677226243 composite?
False
Is 79754194463 a composite number?
False
Is 747074249 a composite number?
True
Is 693146737 prime?
True
Is 333982477 composite?
False
Is 123158309 prime?
False
Is 60021436243 prime?
True
Is 14567002654 a composite number?
True
Is 124721715587 prime?
False
Is 38576098423 composite?
False
Is 54423554651 prime?
True
Is 2358675893 prime?
False
Is 61400867 a prime number?
False
Is 500738437 prime?
True
Is 491715119 a composite number?
True
Is 1229748101 prime?
False
Is 13523389589 a prime number?
False
Is 1701116023 a composite number?
True
Is 3273295457 prime?
True
Is 212220313 composite?
False
Is 506911501 a composite number?
False
Is 1543314061 a prime number?
True
Is 1479597529 a prime number?
True
Is 915317089 prime?
False
Is 23611401413 a composite number?
False
Is 838660769 a composite number?
True
Is 142022252003 a composite number?
False
Is 393778237 a prime number?
True
Is 171703771 a prime number?
False
Is 29835231197 a prime number?
False
Is 948377 composite?
False
Is 194112680999 prime?
True
Is 3131189513 prime?
True
Is 26734558157 a prime number?
False
Is 4335785007 prime?
False
Is 5260753957 a prime number?
True
Is 1377952873 composite?
True
Is 4226687189 a composite number?
False
Is 107154816837 composite?
True
Is 5623370009 composite?
True
Is 41132636213 composite?
False
Is 1159840943 composite?
False
Is 818997211 prime?
True
Is 36956252453 a composite number?
True
Is 8748621857 composite?
True
Is 2519745499 composite?
False
Is 571159261 a prime number?
True
Is 54663396517 a prime number?
False
Is 7160650273 a prime number?
False
Is 298790529 a prime number?
False
Is 939278863 composite?
False
Is 64159439 composite?
False
Is 1413630017 a composite number?
False
Is 135 | {
"pile_set_name": "DM Mathematics"
} |
erms in -69*j - 1 + 0 + 76*j + 1.
7*j
Collect the terms in -11*q - 14*q - 22*q.
-47*q
Collect the terms in 44*h + 22*h - 76*h.
-10*h
Collect the terms in -7*g**3 + 22*g**2 - 22*g**2 + 12*g**3.
5*g**3
Collect the terms in 75*c**2 - 44*c**2 - 39*c**2.
-8*c**2
Collect the terms in 677 + 2*u - 9*u - 674.
-7*u + 3
Collect the terms in -5574*n + 1 - 1.
-5574*n
Collect the terms in 8*p**3 - 19*p**3 + 4*p**3 + 6*p**3.
-p**3
Collect the terms in 6354*z**3 + 6311*z**3 - 12668*z**3.
-3*z**3
Collect the terms in -553*t - 10*t**3 - t**3 + 553*t.
-11*t**3
Collect the terms in 4*b + 266 - 3*b + 3*b - 2*b.
2*b + 266
Collect the terms in 592*s + 573*s - 1147*s.
18*s
Collect the terms in -13*k**2 + 2*k**2 + 6*k**2 - 11*k**2.
-16*k**2
Collect the terms in 24 - 3*v**3 - 7 + 2*v**3 + 18.
-v**3 + 35
Collect the terms in -9*l**3 + 17*l**3 + 19*l**3.
27*l**3
Collect the terms in -7 + 18*f - 6 + 17 - 4.
18*f
Collect the terms in 2 - 12 + 4*t - 4 + 14.
4*t
Collect the terms in 366*p - 6*p**2 - 366*p.
-6*p**2
Collect the terms in 67*r - 15*r + 65*r - 36*r.
81*r
Collect the terms in 7*n + 7*n - 16*n + 0*n.
-2*n
Collect the terms in 6*n + 11*n - 14*n.
3*n
Collect the terms in -24 + 42 - 2*i - 18.
-2*i
Collect the terms in 4 + 12*z - 8 + 12*z.
24*z - 4
Collect the terms in 3*g + 4*g + 3*g - 12*g.
-2*g
Collect the terms in -23*o - 26*o + 82*o.
33*o
Collect the terms in 8 - 8 + 7*i.
7*i
Collect the terms in -566 + 566 + 5*y.
5*y
Collect the terms in 1255*q - 2487*q + 1246*q.
14*q
Collect the terms in 270*v**2 - 787*v**2 + 260*v**2 + 259*v**2.
2*v**2
Collect the terms in 96*l - 32*l - 33*l - 32*l.
-l
Collect the terms in -21 - 24 - 28 - 2*j + 73.
-2*j
Collect the terms in 3155 - 3155 + 15*r.
15*r
Collect the terms in -33*v - 2*v**2 + 33*v.
-2*v**2
Collect the terms in -178*g - 1 + 3 - 2 + 162*g.
-16*g
Collect the terms in 9*n**2 + 3*n**2 - 2*n**2.
10*n**2
Collect the terms in 6*a + 18 - 7*a + 9.
-a + 27
Collect the terms in -23*b - 25*b + 38*b.
-10*b
Collect the terms in -120*d + 64*d + 42*d.
-14*d
Collect the terms in 3 + 6*l - 5 + 0.
6*l - 2
Collect the terms in 3*l**3 + 9*l**3 - 4*l**3 + 0*l**3.
8*l**3
Collect the terms in 7*s**3 + 2*s**3 - 3*s**3.
6*s**3
Collect the terms in -118*b**2 - 46*b**2 + 13*b**2.
-151*b**2
Collect the terms in -36*k - 26*k**2 + 36*k.
-26*k**2
Collect the terms in -5*w + 4 - 5 + 1.
-5*w
Collect the terms in -g**2 - 36*g**3 - g**2 + 2*g**2.
-36*g**3
Collect the terms in 2 - s + 8*s**3 - 2 - s.
8*s**3 - 2*s
Collect the terms in -20 + 20 + 7*w.
7*w
Collect the terms in -3*g**2 - 6*g**2 - 2*g**2 - 10*g**2.
-21*g**2
Collect the terms in -2623*q**2 + 0*q + 0*q + 2613*q**2.
-10*q**2
Collect the terms in 16 + 3*a + 2*a + 5*a - 18.
10*a - 2
Collect the terms in -c**2 - 29*c + 0*c + 29*c.
-c**2
Collect the terms in -13*z**2 - 11*z**2 + 87*z**2 + 83*z**2.
146*z**2
Collect the terms in 68 + 3*b + 181 - 13.
3*b + 236
Collect the terms in -1883 + 24*w + 1883.
24*w
Collect the terms in 14*b + 2 - 19*b + 7*b.
2*b + 2
Collect the terms in -20*l**2 - 2 + 2.
-20*l**2
Collect the terms in -635*s - 6*s**2 + 635*s.
-6*s**2
Collect the terms in -1 + 244*g**2 + 1 - 242*g**2.
2*g**2
Collect the terms in -21103*d**3 + 10550*d**3 + 10554*d**3.
d**3
Collect the terms in 295*w**3 + 200*w**3 + 3*w**3.
498*w**3
Collect the terms in 2136*r + 2160*r - 4294*r.
2*r
Collect the terms in 333 - 670 + 3*o + 337.
3*o
Collect the terms in -2*d**3 + 12*d**3 + 2*d - 30*d**3.
-20*d**3 + 2*d
Collect the terms in 17*q**3 - 9*q**3 - 6*q**3 - 9*q**3.
-7*q**3
Collect the terms in -13*o**3 + 51*o**3 - 7*o**3 - 10*o**3.
21*o**3
Collect the terms in -20*z**2 + 2*z**2 + 38*z**2.
20*z**2
Collect the terms in 5*l**2 - l**2 - 8*l**2 - 2*l**2.
-6*l**2
Collect the terms in 23*f + 809 - 809.
23*f
Collect the terms in 85*x + 326*x - 44*x.
367*x
Collect the terms in 3*c**3 + 4*c**3 - 3*c**3 - c**2.
4*c**3 - c**2
Collect the terms in 0*p**2 + 18*p**2 - 9*p**2 + 9 - 9.
9*p**2
Collect the terms in 18*n**3 - 2*n**3 + 25*n**3 + 4*n**3.
45*n**3
Collect the terms in -531968 + 10*d + 531968.
10*d
Collect the terms in -y + 0*y + y - y.
-y
Collect the terms in 32*q**2 + 38*q**2 + 37*q**2 - 103*q**2.
4*q**2
Collect the terms in 263 - n**3 - 90 - 90 - 83.
-n**3
Collect the terms in 6 - 8*s + 6*s - 2.
-2*s + 4
Collect the terms in -82*x**2 + 172*x**2 - 92*x**2.
-2*x**2
Collect the terms in -19*k**3 + 1148*k**2 - k**3 - 1148*k**2.
-20*k**3
Collect the terms in -1 + 1 + 15471*z**2.
15471*z**2
Collect the terms in 11*o**3 + 6*o**3 - 4*o**3 + 15*o**3.
28*o**3
Collect the terms in -6545*p**2 + 6545*p**2 - 6*p**3.
-6*p**3
Collect the terms in 28*y**2 - 36*y**2 + 36*y**2.
28*y**2
Collect the terms in -14*y**3 + y**3 - 36*y**2 + 36*y**2.
-13*y**3
Collect the terms in -15 + 1183*g + 15.
1183*g
Collect the terms in 6*o + 9*o - 8*o - 4*o.
3*o
Collect the terms in -16*l + 71*l - 20*l - 18*l - 15*l.
2*l
Collect the terms in 132 - 132 - 6*h**3.
-6*h**3
Collect the terms in 12*n - 5*n**2 + 4*n**2 - 4*n**2.
-5*n**2 + 12*n
Collect the terms in 13*f**2 + 18*f**2 - 51*f**2 + 19*f**2.
-f**2
Collect the terms in -149*r - 139*r + 420*r - 135*r.
-3*r
Collect the terms in 5*n**3 + 339*n**2 - 339*n**2.
5*n**3
Collect the terms in -46 + 43 + 2*h**2 + 5*h - 5*h.
2*h**2 - 3
Collect the terms in 9*a**3 - 103*a**2 + 41*a**2 + 17*a**2 + 45*a**2.
9*a**3
Collect the terms in -197*r**3 + r - r + 2*r.
-197*r**3 + 2*r
Collect the terms in 32*p**2 + 19*p**2 - 94*p**2.
-43*p**2
Collect the terms in 39*p**3 - 8*p**3 - 11*p**3 - 13*p**3 - 8*p**3.
-p**3
Collect the terms in 28*k**3 + 6 - 245*k**3 - 6.
-217*k**3
Collect the terms in -s - 10*s**3 - 3*s + s.
-10*s**3 - 3*s
Collect the terms in 58*m + 1 - 27*m + 52*m.
83*m + 1
Collect the terms in 7*z**2 - 44*z**2 + 0 + 0.
-37*z**2
Collect the terms in -6*q - 16*q - 4*q + 10*q.
-16*q
Collect the terms in 19*u**3 + 2 - 1 + 51*u**3.
70*u**3 + 1
Collect the terms in r**2 - 2*r**2 + r**2 - 3*r**2.
-3*r**2
Collect the terms in -2*o**2 + 0*o**2 - 55*o**2 + 1 - 16*o**2.
-73*o**2 + 1
Collect the terms in -765 + 765 - 4*a.
-4*a
Collect the terms in 38*q + 47*q - 27*q.
58*q
Collect the terms in 89*d + 88*d - 272*d + 96*d.
d
Collect the terms in -12*i - 9*i + 51*i - 17*i - 12*i.
i
Collect the terms in 50*s**3 + 50*s**3 + 48*s**3 - 152*s**3.
-4*s**3
Collect the terms in 30 - 3*u**2 - 33 + 0*u**2.
-3*u**2 - 3
Collect the terms in -3*v**2 + 4 + 4*v**2 - 7 - 8.
v**2 - 11
Collect the terms in -1 + 21*q - 3 - 38*q + 2.
-17*q - 2
Collect the terms in -869*s + 76*s + 3738*s.
2945*s
Collect the terms in 7 - 10 + 4 + 6*o**2 + 29*o**2.
35*o**2 + 1
Collect the terms in -42*j - 6*j - 12*j - 63*j.
-123*j
Collect the terms in -3*g**3 - 7*g**3 - 4*g**3.
-14*g**3
Collect the terms in 3*r**2 - 3*r + 3*r + 0*r**2 - 6*r**2.
-3*r**2
Collect the terms in 45*f + 40*f + 4 - 1.
85*f + 3
Collect the terms in 7 + x + 4 - 11.
x
Collect the terms in 111*f + 2 - 2 - 291*f + 133*f.
-47*f
Collect the terms in 1558 - 760 - 798 + x**3.
x**3
Collect the terms in -4*g**3 + 7*g**3 + 383*g**2 - 383*g**2.
3*g**3
Collect the terms in 10 + 0*f**3 - 4*f**3 + f**3.
-3*f**3 + 10
Collect the terms in -54*i**3 - 53*i**3 + 116*i**3.
9*i**3
Collect the terms in -2*n**3 + 3*n**3 + 4*n**3.
5*n**3
Collect the terms in 25*a + a**3 + 2 - 11 + 9.
a**3 + 25*a
Collect the terms in 176*n**2 - 86*n**2 - 88*n**2.
2*n**2
Collect the terms in -347 + 347 - 2*g.
-2*g
Collect the terms in 30*r - 10*r + 2*r.
22*r
Collect the terms in 4*i**2 - 16 - 9 + 20 + 8*i**2.
12*i**2 - 5
Collect the terms in -2*r**2 + 2*r**2 + r**3.
r**3
Collect the terms in -9*i**2 - 12*i**2 + 4*i**2.
-17*i**2
Collect the terms in -95*x - 20*x - 50*x + 11*x.
-154*x
Collect the terms in -b + 32 - 40 + 43.
-b + 35
Collect the terms in 24*k**2 - 7*k**2 - 5*k**2 - 7*k**2.
5*k**2
Collect the terms in -31*f + 5*f - 88*f.
-114*f
Collect the terms in 2*c - 12*c**2 + 13 - 13 - 3*c**2.
-15*c**2 + 2*c
Collect the terms in -29 - 8*o**2 - 11*o**2 + 29 + 16*o**2.
-3*o**2
Collect the terms in -k**2 - 4*k**2 - 44 + k**2 + 3*k**2.
-k**2 - 44
Collect the terms in -12*j + 18*j - 18*j**2 - 8*j.
-18*j**2 - 2*j
Collect the terms in -39 + 9*u - 8*u + u - 4*u.
-2*u - 39
Collect the terms in -5 + 9 + 44 + 4*k.
4*k + 48
Collect the terms in 15*s**3 + 3*s**3 + 23*s**3.
41*s**3
Collect the terms in 13*a**3 - 732*a + 732*a - 2*a**3.
11*a** | {
"pile_set_name": "DM Mathematics"
} |
**2 - 16*h + 23. Let i be f(15). Let q(t) = 8*t - 17. Let c be q(i). Suppose -39 + c = 2*w. Is w composite?
True
Let r be ((-100)/15)/(-20) + 35306/(-6). Let i = 9270 + r. Is i a composite number?
True
Is (1934/(-4))/(57/(-25422)) a composite number?
True
Let v(m) = -46*m**3 + m. Let c be v(1). Let q = 296 + c. Is q a prime number?
True
Let p be 15 + 264945 + 0 + 3. Suppose 20173 = 16*f - p. Is f composite?
True
Let s = -558175 + 975042. Is s a composite number?
True
Let t(y) = -179*y - 285. Let d(c) = 178*c + 283. Let x(u) = 7*d(u) + 6*t(u). Is x(9) a prime number?
False
Let g(w) = 56*w**3 + w**2 + 2*w - 17. Let b(q) = q**3 - q**2. Let d(i) = 2*b(i) - g(i). Is d(-4) prime?
True
Let o(l) = 201*l**2 + 365*l + 11. Is o(43) a prime number?
False
Suppose 0 = -3*f - 0*f + 9. Suppose -8238 = -3*o - f*o. Is o a composite number?
False
Suppose 0*d = 3*d + 2*z - 40, 2*z + 40 = 2*d. Suppose -11*i - 11790 = -d*i. Suppose 0 = 5*b - 3*k + 291 - 6151, -2*b = -4*k - i. Is b composite?
True
Let q = 1600 - 11130. Let s = -4029 - q. Is s a prime number?
True
Suppose 3012*g = 3061*g - 13529929. Is g prime?
False
Let y be 232/6 + (-69)/9 + 7. Suppose y*h - 2157 = 35*h. Is h prime?
True
Suppose 13*d + 13965 + 9058 = 0. Let u = 3984 + d. Is u composite?
False
Let o = 32 - 28. Let z(m) = 87*m - 55. Is z(o) composite?
False
Let m be (40/(-30))/(2/(-15)). Suppose 7*b = m*b + 6. Is (-3945)/b - 16/(-32) a composite number?
False
Let h(a) = 169573*a - 1413. Is h(4) prime?
False
Suppose 47*g = 42*g, 5*g = m - 8927. Is m prime?
False
Let r(f) = f + 28. Let v be r(-31). Let j(i) = -189*i - 7. Let s(l) = l. Let p(h) = j(h) + s(h). Is p(v) composite?
False
Let y(o) = 153*o**2 + 3*o - 9. Let r be y(-5). Let b = r - -4989. Suppose -4*f - b = -2*u, -u + 4375 = -6*f + 8*f. Is u a prime number?
False
Suppose -o + 902 = -c, o - 6*c - 906 = -3*c. Suppose 3*r + 7*y - 2*y = 4468, -y + 4472 = 3*r. Suppose -3*t + r = -o. Is t prime?
True
Let h be -2 - 6/3 - 0/10. Is ((-38888)/(-20) - 0)*(-10)/h prime?
True
Suppose 3*c - r - 2801590 = -1154593, 5*c = r + 2744991. Is c a prime number?
False
Let w be (0 - -4 - 4)/1. Is w - (14 + -15)*(1061 - 0) a prime number?
True
Let u be (-2 - -1)/((-9)/(-188865)). Is 7/((-140)/u)*12/9 composite?
False
Let k(f) = 23*f**3 + 7*f**2 + 7*f + 11. Let b = -52 - -58. Is k(b) a composite number?
False
Suppose -21 = 3*h - 6*h + 3*u, -h - 2*u = 5. Suppose 4*q - h*m - 3269 = 0, 5*m + 796 = 6*q - 5*q. Is q composite?
False
Let x(o) = -2*o**3 + 12*o**2 + o - 9. Let r be x(6). Is (-2 - -261*2) + r prime?
False
Let d(x) = x**2 + 3*x. Let p be d(-3). Suppose p*s = 2*s - 4270. Suppose 6*j - j = s. Is j prime?
False
Let p(x) = 151*x + 33. Let j(q) = -755*q - 164. Let v(r) = 2*j(r) + 11*p(r). Suppose -3*t + 3*w + 27 = 0, -5*w + 20 = t + 29. Is v(t) composite?
False
Let h(c) be the first derivative of 200*c**2 - c - 29. Is h(2) a composite number?
True
Let f = 43 - 38. Suppose 3715 - 335 = -f*a. Let x = a + 1827. Is x a prime number?
True
Let c(s) = -s**3 - 4*s**2 + 4*s - 7. Let i be c(-5). Is (-1)/i*2488 + 5 a prime number?
True
Let a(k) = k - 4. Let x be a(9). Suppose x*z - 608 = 727. Suppose 3*t - z = 1122. Is t a composite number?
False
Suppose q = 5*p + 27309, 109190 = 4*q - 201*p + 204*p. Is q composite?
False
Let c(b) = 522*b - 85 - 39 - 130 + 49. Is c(6) prime?
True
Let n(d) = 2*d + 22. Let g be n(-9). Suppose t + 2*x + 396 = -t, 0 = -5*t - g*x - 986. Let y = -117 - t. Is y a prime number?
False
Suppose -17*y + 7 = 7. Suppose 5*r + 5*o - 6545 = y, -o = 2*r - 0*o - 2622. Is r prime?
False
Is 716160 - (-3 + -4)/(3 + -10 - -6) prime?
False
Let k(o) be the third derivative of -5*o**4/24 - 19*o**3/6 - 5*o**2. Let h be k(-5). Suppose -h*c = 5*c - 5269. Is c prime?
True
Suppose 28*i - 16*i + 744 = 0. Is i - -1524 - (-3 - 0) a prime number?
False
Let y be (5 - -7)/((-24)/(-9) - 2). Suppose -96102 = -0*f - y*f. Is f a composite number?
True
Suppose -4*a = 2*j - 2602, a + 4*j - 2612 = -3*a. Let x = 69 + a. Is x composite?
True
Suppose -3 = -30*l + 29*l. Is 898 + -3 + l + 1 a composite number?
True
Suppose -4*b + 54348 = 4*f, -5*f - 4*b = -91149 + 23219. Is f a prime number?
False
Let k(v) = 723*v**2 + 21*v + 227. Is k(-13) composite?
True
Suppose -2*o + 306 = -4*b + 3*b, 0 = -5*b. Let r = o - 94. Is r composite?
False
Let p(u) = -31029*u - 3385. Is p(-12) composite?
True
Let w be (-144)/60*(-5)/(-2). Is (-33)/(-9) - 5 - 16574/w a composite number?
True
Let l be (5 - 6 - 76/(-20))*930. Let q = 2230 + l. Is q composite?
True
Let f = -12546 + 70949. Is f composite?
False
Let i(m) = 9*m**3 - 8*m**2 + 24*m - 67. Let l be i(-14). Let c = 71194 + l. Is c a prime number?
False
Is 1/8 + (-203955)/(-40) composite?
False
Let a = -145 + 151. Suppose -a*h = -11*h - 100. Is (-22184)/(-20) + 4/h prime?
True
Let a(s) = -3*s**2 + s + 25*s**3 - 6*s**3 + 5394 - 9*s**3 - 9*s**3. Let h be a(0). Suppose -3*q = -3*w + h, -w - q + 1786 = -6*q. Is w prime?
True
Suppose -2*m = 5*b - 9981667 + 1809636, 0 = -4*b + 2*m + 6537632. Is b a composite number?
False
Let s(u) = -22*u**2 - 38*u + 8. Let a be s(-7). Is (-1 + 0)/(4/a) prime?
False
Let z = 115905 + -58216. Is z a composite number?
False
Let t(j) = 906*j**3 + 4*j**2 - 5*j - 11. Let p(c) = 302*c**3 + c**2 - 2*c - 4. Let y(q) = -8*p(q) + 3*t(q). Let s be y(-1). Let r = s + 509. Is r composite?
True
Suppose -367 = 14*p - 115. Is 7101/p*(-2)/3 prime?
True
Suppose 0 = 42*z - 38*z. Is -6*7/21 - (-1363 - z) prime?
True
Suppose 3*p + 38*p = -4*p + 28385865. Is p a composite number?
False
Let i = 408855 + -266558. Is i prime?
True
Let j be -9 + 959/105 - 139504/30. Let z = 10529 + j. Is z prime?
True
Let o be ((-30)/(-25))/(6/(-30)). Is (958/o)/((-22)/66) composite?
False
Let s(d) be the second derivative of -3*d**3 + d**2 - 31*d + 16. Let a = 7 + -11. Is s(a) a composite number?
True
Let k(g) = 9304*g**2 - 25*g - 128. Is k(-3) composite?
True
Let y(o) = 39*o**2 + 10*o - 2778. Is y(61) a composite number?
True
Suppose -10*h = -2*p - 7*h - 24, -p - 22 = h. Let x(a) = -78*a + 19. Is x(p) prime?
True
Let s(u) be the first derivative of 7*u**2 + 12 - 8*u**2 + 49*u - 29*u**2. Is s(-8) composite?
True
Suppose 5*f + 3*c + 60 = 0, 10 = 10*c - 12*c. Let x(z) = -424*z - 69. Is x(f) composite?
True
Is -3*-2*(-4)/(-42) - (-244920060)/294 a prime number?
False
Suppose -9*q + 16437 = -83184. Is q a composite number?
False
Suppose 1 - 16 = -5*k + 3*s, -3*k = -s - 9. Suppose 2*m - 14 = k*m. Is (-133190)/(-70) + (-4)/m composite?
True
Let s = -67676 - -138305. Let c = -46388 + s. Is c a prime number?
False
Let g(b) = 240*b**2 - 18*b - 11. Let o be 2/4*(-258)/43. Is g(o) prime?
True
Let j be (-4)/(-16) + 17*2/(-8). Let w(z) = z + 7. Let u be w(j). Suppose -3*q = u*b + b - 1160, -2*b - 2*q + 578 = 0. Is b prime?
True
Let m be (-72)/(-15)*30/24. Suppose m*a = 16317 + 27729. Is a prime?
False
Suppose -3*x + 4*x - 12 = 0. Suppose -22*h = -x*h - 44390. Is h prime?
False
Let n(k) = -k**3 + 15*k**2 - 141*k - 275. Is n(-112) composite?
True
Let c(k) = 31*k + 12. Let o(q) = -32*q - 11. Let b be 2/(-2) - 11/(33/15). Let y(u) = b*c(u) - 5*o(u). Is y(-6) prime?
True
Let c be (-3 - (-1 - 1))*2. Let u be (3 - 104) + -1 + c. Let t = 9 - u. Is t prime?
True
Let p(g) = g**3 + 3*g**2 - 5*g - 5. Let a be p(-4). Let m be a/2 + (-8910)/(-20). Let q = m - -358. Is q a composite number?
True
Suppose -427 = -71*a + 10*a. Suppose -4*c = -3*f + 10, 1 + 2 = 4*f + 5*c. Suppose -f*s - 21 = -n, -4*s - 15 = -a*s. Is n a composite number?
False
Let u = -1030 - -1054. Let y be 353 - (-1)/1*2. Let r = y + u. Is r prime?
True
Suppose -4*v = -13*v + 2439. Suppose 3*q = -5*y + 424, 2*q = 4*q + y - v. Is q prime?
False
Suppose 7949 = 4*q - 3*c, -3967 = -2*q + 4*c - 5*c. Suppose -q = -2*j + 3179. Suppose -5*t = 757 - j. Is t composite?
True
Suppose -307*m + 295*m + 248412 = 0. Is m composite?
True
Let o(f) = 361*f**2 + 20*f - 106. Is o(7) composite?
True
Is (3912567/102)/(((-12)/32)/(60/(-16))) a composite number?
True
Let c(m) = m**3 - 3*m**2 - 2*m + 3. Let x be c(7). Let t be (55/10 + -6)/((-1)/14). Suppose -x = 2*f - t*f. Is f a composite number?
False
Let l(w) = 8144*w**2 - 1253*w + 3764. Is l(3) prime?
False
Suppose 4*b - 2*k - 162414 = 0, -5*b - 8*k = -10*k - 203021. Is b composite?
True
Let c(z) = z** | {
"pile_set_name": "DM Mathematics"
} |
t v(h) be the third derivative of -h**5/20 + h**4/8 - 5*h**2. Find r such that v(r) = 0.
0, 1
Let t = -14 - -18. Suppose 2*j = 3*j + 2*u - 13, -5*u = -t*j - 13. Determine q, given that 2/3*q**j + 0 - 2/3*q + 0*q**2 = 0.
-1, 0, 1
Let v(s) be the second derivative of -s**6/6 + 2*s**5 - 35*s**4/12 + 27*s. Let v(i) = 0. Calculate i.
0, 1, 7
Suppose v + 2*v + 4*a + 6 = 0, 0 = 4*v - 3*a - 17. Determine f, given that -12/7 + 8/7*f + 4/7*f**v = 0.
-3, 1
Let q(t) = -t**3 - t**2 + t. Let p(m) = -17*m**3 + 7*m + 5*m + 5*m**3 + 2 - 18*m**2 + 1. Let k(y) = -p(y) + 15*q(y). Determine i so that k(i) = 0.
-1, 1
Let a(b) be the second derivative of b**7/42 + 2*b**6/15 + 3*b**5/20 - b**4/3 - 2*b**3/3 - 4*b. Factor a(u).
u*(u - 1)*(u + 1)*(u + 2)**2
Let n(l) = l**2 - l + 2. Let g(x) = 5*x**2 - 5*x + 11. Let y(t) = t - 11. Let j be y(0). Suppose r + 2 = 2*r. Let v(s) = j*n(s) + r*g(s). Factor v(w).
-w*(w - 1)
Let y be 4*(56/(-144) - 16/(-36)). What is c in 2/9*c**5 + y*c**3 + 0*c**2 + 4/9*c**4 + 0*c + 0 = 0?
-1, 0
Let h(j) be the first derivative of -j**3 + 0*j**2 - 3/4*j**4 + 0*j - 6. What is v in h(v) = 0?
-1, 0
Factor 3*c + 3*c + 13*c - 15*c**2 - 7*c + 3*c**3.
3*c*(c - 4)*(c - 1)
Let o(a) be the second derivative of 1/6*a**4 - 1/45*a**6 + 0 + 2/3*a**2 - 1/30*a**5 + 9*a + 5/9*a**3. Factor o(q).
-2*(q - 2)*(q + 1)**3/3
Let v(a) = a**3 - 13*a**2 - 6*a + 4. Let j(h) = -2*h**3 + 14*h**2 + 6*h - 5. Let t(g) = 4*j(g) + 5*v(g). Find p such that t(p) = 0.
-2, -1, 0
Let c(k) be the first derivative of k**4/16 + k**3/4 + 3*k**2/8 + 10*k + 2. Let w(g) be the first derivative of c(g). Factor w(y).
3*(y + 1)**2/4
Suppose 5*s = 2*f - 4*f, 3*s = -3*f. Let r(y) be the first derivative of -1/3*y**2 - 2/3*y**3 + f*y - 1/2*y**4 - 2/15*y**5 + 1. Factor r(a).
-2*a*(a + 1)**3/3
Let h(u) = 5*u**2 + 32*u + 45. Let o(g) = 15*g**2 + 97*g + 135. Let d(f) = 7*h(f) - 2*o(f). Determine b, given that d(b) = 0.
-3
Let p(c) be the first derivative of -98/33*c**3 - 14/11*c**2 - 2 - 2/11*c. Factor p(y).
-2*(7*y + 1)**2/11
Let v = 5 - 3. Let c = v + 3. Solve -5*l**4 - 2*l**3 - 6*l**5 + 2*l**c + l**5 = 0.
-1, -2/3, 0
Let l(o) = -14*o**2 + 26*o - 10. Let j(t) = 2*t**2 - t + 1. Let v(r) = -15*j(r) - 3*l(r). Factor v(z).
3*(z - 5)*(4*z - 1)
Let m(g) be the third derivative of -1/60*g**5 + 1/24*g**4 + 0*g**3 + 0 + 0*g - g**2 - 1/120*g**6 + 1/210*g**7. Suppose m(u) = 0. Calculate u.
-1, 0, 1
Let n = 856/3 - 278. Let q = n - 7. Factor 2/3*h - q*h**2 - 1/3.
-(h - 1)**2/3
Let t(k) be the first derivative of 2*k**5/5 - k**4 + 2*k**2 - 2*k + 4. Factor t(o).
2*(o - 1)**3*(o + 1)
Let b(g) be the first derivative of 7*g**6/2 - 69*g**5/5 + 81*g**4/4 - 13*g**3 + 3*g**2 - 1. Let b(h) = 0. Calculate h.
0, 2/7, 1
Suppose 4*m - 6 = -2*b + 32, -2*b + 23 = m. What is u in 8 + 3*u**2 + 0*u - 2 - b*u = 0?
1, 2
Let h be 12/206*(-2)/88. Let w = h - -10303/2266. Factor -48/11*i - 90/11*i**2 - 8/11 - w*i**3.
-2*(i + 1)*(5*i + 2)**2/11
Factor 2*q**3 - 162*q + 159*q - 3*q**5 + 4*q**3.
-3*q*(q - 1)**2*(q + 1)**2
Suppose 0 = 2*d + 7 + 1. Let r(o) = 4*o**4 + o**2 + 2*o**2 + 2*o + 0*o**4 - 5*o**4. Let i(x) = -x**4 + 3*x**2 + 2*x. Let a(w) = d*i(w) + 5*r(w). Factor a(b).
-b*(b - 2)*(b + 1)**2
Let n(f) be the third derivative of -f**7/240 + f**6/80 - f**5/160 - f**4/96 + 2*f**2 + 10*f. Factor n(s).
-s*(s - 1)**2*(7*s + 2)/8
Suppose 6 + 3 = 3*v. Let d(k) = k**3 - 6*k**2 - 7*k. Let h be d(7). Factor 4/7*w**v + h*w + 0 - 2/7*w**2 - 2/7*w**4.
-2*w**2*(w - 1)**2/7
Let l(k) be the first derivative of -k**5/20 - k**4/16 + k**3/12 + k**2/8 + 8. Factor l(d).
-d*(d - 1)*(d + 1)**2/4
Factor 0*t**3 + 0 + 0*t - 8/23*t**2 + 2/23*t**4.
2*t**2*(t - 2)*(t + 2)/23
Let a be (1 + 5)/(-1*2). Let b be 34/8 + a - 1. Factor 1/2*u**2 - b*u + 0 - 1/4*u**3.
-u*(u - 1)**2/4
Let n = -1 - -4. Let -j**4 - 8*j**3 - 8 - 2*j**2 + 8*j**2 + n*j**4 + 8*j = 0. What is j?
-1, 1, 2
Let a be (-1 + 2)/(5/10). Let y = a + 0. Determine s so that -1/2*s + 1 - 1/2*s**y = 0.
-2, 1
Let k(l) be the third derivative of -l**7/840 + l**6/160 - l**5/80 + l**4/96 + 3*l**2. Suppose k(s) = 0. What is s?
0, 1
Let w(l) be the third derivative of -l**8/672 + l**6/80 - l**5/60 + 7*l**2. Factor w(d).
-d**2*(d - 1)**2*(d + 2)/2
Suppose 3*f - 22 = -4. Suppose 2*n = 5*n - f. Determine c, given that -1/4*c**3 + 0 - 1/4*c + 1/2*c**n = 0.
0, 1
Suppose -3*h + 17 = -r, 4*h - 41 = 7*r - 2*r. Let d = 6 - h. Factor 1/4*s**d + 0*s - 1/4.
(s - 1)*(s + 1)/4
Suppose -3*r = -2*v - 3, -4*r + 4 = -5*v + 8*v. Factor 0*t - 1/6*t**2 + v*t**3 + 1/6*t**4 + 0.
t**2*(t - 1)*(t + 1)/6
Suppose -7*v + 25*v = 36. Let y(p) be the first derivative of -1/3*p**3 + p + v + 0*p**2. Factor y(h).
-(h - 1)*(h + 1)
Let h(m) be the second derivative of 1/60*m**6 + 1/40*m**5 - 1/12*m**3 - 1/24*m**4 + 0 - 5*m + 0*m**2. Factor h(c).
c*(c - 1)*(c + 1)**2/2
Factor -y - 20*y**3 + 16*y**2 - 10*y**5 + 35*y**4 + y - 36*y**2.
-5*y**2*(y - 2)**2*(2*y + 1)
Factor -1 + 9*t + 3*t**2 + 4 - 3*t.
3*(t + 1)**2
Let h(b) be the second derivative of b**4/6 - b**3/3 - 8*b. Factor h(t).
2*t*(t - 1)
Let v = 27941/4140 + 1/1035. Suppose 0 = -m + 3*b - 15, 0 = 2*b - 2 - 8. Factor -3/2*y + v*y**2 + m - 21/4*y**3.
-3*y*(y - 1)*(7*y - 2)/4
Let a be (-14 + 15)*3*1. Factor -5 - a - m + 5*m + m**2 + 11.
(m + 1)*(m + 3)
Suppose -2*b + 24 = 3*m, 3*m - 2*m - 3*b = -3. Let a be (m - 0)*2/3. Factor -a*u - 14*u**2 - 3*u**3 - 5*u**3 + 2 + 0*u**3.
-2*(u + 1)**2*(4*u - 1)
Let g(n) be the third derivative of n**7/630 + n**6/360 - n**5/60 - n**4/72 + n**3/9 - 5*n**2. Factor g(s).
(s - 1)**2*(s + 1)*(s + 2)/3
Let g = -143099/206028 - -2/17169. Let j = 1/18 - g. Let -j*z + 3/2 - 9/4*z**2 = 0. Calculate z.
-1, 2/3
Let t(x) be the third derivative of x**5/30 - x**4/4 + 2*x**3/3 - 16*x**2. Factor t(z).
2*(z - 2)*(z - 1)
Let k be (-6)/15 - 27/(-30). Factor 1/2*i - k*i**2 + 1.
-(i - 2)*(i + 1)/2
Let r(q) be the third derivative of 0*q - 1/336*q**8 + 0*q**5 + 0 + 0*q**4 + 0*q**3 + q**2 + 0*q**7 + 1/120*q**6. Factor r(i).
-i**3*(i - 1)*(i + 1)
Let c(u) = u**2 - 27*u + 126. Let v be c(6). Suppose -3/5*x - 3/5*x**3 + 6/5*x**2 + v = 0. Calculate x.
0, 1
Suppose 0 = -2*o + 5 - 1. Let -2*d**2 + d**3 + 0*d**2 - 2*d**o + d + 6*d**2 = 0. What is d?
-1, 0
Let l(w) be the second derivative of w**7/189 - 2*w**6/135 + w**4/27 - w**3/27 - 36*w. Factor l(o).
2*o*(o - 1)**3*(o + 1)/9
Let b(s) = -s**2 + 6*s + 9. Let x be b(7). Suppose -x*j = -2*n + 2, 1 + 2 = 3*n. Let -2/7*a - 8/7*a**2 + j = 0. Calculate a.
-1/4, 0
What is t in 0 + 8/11*t**2 - 8/11*t + 6/11*t**3 = 0?
-2, 0, 2/3
Let d(v) be the first derivative of -3*v**5/5 + 3*v**3/2 + 3*v**2/2 - 2*v - 1. Let b(o) be the first derivative of d(o). Factor b(i).
-3*(i - 1)*(2*i + 1)**2
Let v(a) be the third derivative of a**9/17280 + a**8/4480 + a**7/5040 - a**5/30 - a**2. Let m(x) be the third derivative of v(x). Solve m(l) = 0.
-1, -2/7, 0
Suppose -2*n = 2*u - 14, 13 = -u - 0*n + 3*n. Let -11*y**u - y**5 - 6*y**3 - y + 7*y**2 - y**4 - 3*y**4 = 0. Calculate y.
-1, 0
Let n(j) be the second derivative of -1/55*j**5 + 5/66*j**4 + 0 + 0*j**2 + 2/33*j**3 - 1/33*j**6 - j. Suppose n(u) = 0. Calculate u.
-1, -2/5, 0, 1
Let c(o) be the third derivative of -o**6/300 + o**5/150 + o**2. What is h in c(h) = 0?
0, 1
Let m**4 + 66*m**3 + 3*m**4 + 4*m**2 - 58*m**3 = 0. What is m?
-1, 0
Let x(d) = d + 5. Let s be x(-5). Suppose s = 5*q - 10 - 0. Factor -2*o**q + 2*o**4 + o - 3*o**3 + 3*o**3 - o**5.
-o*(o - 1)**3*(o + 1)
Factor -4 + 7*l**5 - 7*l**3 + 4 + 0*l**3 - 2*l**2 + 2*l**4.
l**2*(l - 1)*(l + 1)*(7*l + 2)
Let l(u) be the first derivative of 2/9*u**3 + u + 2 - 5/6*u**2. Determine z so that l(z) = 0.
1, 3/2
Let l be 3/(9/6) - 0. Suppose -i + 5*a + 8 = i, -a - 8 = -l*i. Factor -6*h**4 + 2*h + 0*h**2 - 8*h**3 + h**i - h**2.
-h*(h + 1)**2*(5*h - 2)
Factor 3*y**2 - 5*y**3 - 5*y**4 + 5*y + y**4 + 0*y**2 + 1.
-(y - 1)*(y + 1)**2*(4*y + 1)
Suppose -4*l - 32 = -3*z, -5*z + 2*l = -l - 35. Suppose 0 = -3*w - 3*r + 6, -z*w + 5*r + 13 = 5. Let 0*i + 0*i**3 - 1/3*i**w + 1/3*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Let c(d) = d**2 + d - 1. Suppose -2*r + 6 = 4*y - 14, y - 32 = -5*r. Let b(x) = 17 - 20*x**2 - r*x - x - 3 + x. Let k(w) = -b(w) - 12*c(w). Factor k(i).
2*(i - 1)*(4*i + 1)
Let r(l) = -3*l + 26. Let n be r(8). Let c(g) be the second derivative of 1/12*g**3 + 1/24*g** | {
"pile_set_name": "DM Mathematics"
} |
4. Let j(f) = 3*m(f) - 4*x(f). Calculate j(g(c)).
-c**2
Suppose -41*n + 49*n - 16 = 0. Let i(c) = -7*c**n - 12 + 12. Let p(z) = -6*z. Calculate i(p(l)).
-252*l**2
Let g(i) = 39490*i - 19600*i - 19889*i. Let h(k) = 181*k - 42*k + 73*k. Calculate g(h(z)).
212*z
Suppose 0 = -8*k + 369 + 119. Let w(l) = -69*l**2 - 2 + 2 + k*l**2. Let q(b) be the second derivative of b**3/3 + 4*b. Determine q(w(x)).
-16*x**2
Let s(f) = 6. Let v(p) = p - 4. Let j(i) = 2*s(i) + 3*v(i). Let x(y) = 351 - 176 - 182 - 2*y. What is j(x(k))?
-6*k - 21
Let g(f) = -2*f - 1599950. Let j(z) = -104*z**2. Calculate g(j(k)).
208*k**2 - 1599950
Let m(s) = -369882*s**2. Let q(k) = 175*k. Determine q(m(d)).
-64729350*d**2
Let w(f) = 1143*f. Let d(y) = 15*y**2 - 8*y + 8. Let t(q) = -34*q**2 + 18*q - 18. Let g(z) = 9*d(z) + 4*t(z). What is g(w(r))?
-1306449*r**2
Let o(v) = -21*v. Let c(z) = 20*z. Let u(p) = 6*c(p) + 4*o(p). Let l(i) be the second derivative of i**3/6 - 3138*i. Give u(l(g)).
36*g
Let o(x) = x. Let m(u) be the first derivative of -115/2*u**2 + 74 + 0*u. Calculate o(m(r)).
-115*r
Let b(p) = -2*p**2. Let u(a) = 127512707*a**2. What is b(u(j))?
-32518980892935698*j**4
Let z(p) = 5*p**2 - 25*p + 5. Let i(t) = -2*t**2 + 5*t - 1. Let c(q) = -5*i(q) - z(q). Let l(r) = 839*r. Determine l(c(h)).
4195*h**2
Let z(l) = -15*l. Let u(r) = -47*r - 9. Let k(o) = 1540*o + 294. Let i(g) = -3*k(g) - 98*u(g). Give i(z(p)).
210*p
Let m(a) = 38*a. Let r(y) = -13*y - 6. Let b(l) = 51*l + 23. Let c(s) = -6*b(s) - 23*r(s). What is c(m(d))?
-266*d
Let q(w) = 280*w - 338. Let p(n) = 78*n - 1. Give p(q(a)).
21840*a - 26365
Let n(h) = 71*h - 10. Let m(d) = -13*d - 1. Let b(f) = 6*m(f) + n(f). Let p(i) = 37*i. Give b(p(x)).
-259*x - 16
Let v(t) = -44*t - 1. Let m(s) = 1250207*s. What is m(v(h))?
-55009108*h - 1250207
Let o(d) = 6966*d**2 - 20*d + 1. Let b(x) = -752*x. Calculate b(o(c)).
-5238432*c**2 + 15040*c - 752
Let d(q) = 4*q. Suppose -5*p - 3*m = 182, 2*p - 2*m = -52 - 8. Let b = p - -36. Let u(l) = -4*l**b - 2*l - 2*l**2 + 2*l. Determine d(u(x)).
-24*x**2
Let k(o) = 13*o. Let f = -932 - -928. Let s(g) = 2*g. Let y(m) = f*s(m) + k(m). Let z(n) = -7*n. Calculate z(y(l)).
-35*l
Let f(t) be the third derivative of -t**4/3 + t**3/2 + t**2. Let v(s) = 1471753913 - 2*s - 1471753913. Give f(v(n)).
16*n + 3
Let v(y) = -2*y - 2098894. Let g(t) = 20*t - 6. Give g(v(l)).
-40*l - 41977886
Let o(l) = -2*l + 26. Let t be o(-16). Let q(u) = 119*u - t*u - 57*u. Let p(f) = -f - 4*f - 4*f. Calculate p(q(x)).
-36*x
Let u(t) = -7*t + 55. Let m(s) be the second derivative of s**3/3 + 2077*s. Calculate m(u(b)).
-14*b + 110
Let v(b) be the first derivative of 26*b**2 + 304. Let o(k) = -3*k - 5. Let l(t) = 3*t + 4. Let f(i) = 5*l(i) + 4*o(i). What is f(v(a))?
156*a
Let q(j) = -3*j. Let g(s) = -1520*s**2 + 58878939*s - 58878939*s. Determine g(q(d)).
-13680*d**2
Let m(l) = 234*l + 26. Let i(s) = -103*s - 12. Let r(c) = -9*i(c) - 4*m(c). Let y(f) = -3*f**2 + 7*f. Determine r(y(o)).
27*o**2 - 63*o + 4
Let x(h) = -2*h**2. Let p = -13155 + 13155. Let a(v) be the third derivative of 0*v - 1/24*v**4 - 37*v**2 + p*v**3 + 0. Calculate a(x(o)).
2*o**2
Let k(t) = -182*t**2 - 4*t + 370*t**2 + 4*t - 187*t**2. Let d(x) = -8*x**2 + 133. What is d(k(m))?
-8*m**4 + 133
Let x(u) = 3*u - 22. Let y(m) = m**2 - 118*m - 40. Calculate y(x(d)).
9*d**2 - 486*d + 3040
Let d(z) = -97*z**2 - 28576. Let w(t) = 2*t. Calculate d(w(n)).
-388*n**2 - 28576
Suppose c - 1 - 4 = 0. Let d(r) = c*r - 4*r + 4*r + 5*r. Let z(f) be the first derivative of -f**2 + 167. Determine d(z(a)).
-20*a
Let a(y) = 8*y**2. Let h = -40 + 9. Let u = 31 + h. Let f(m) = 5*m**2 + u*m**2 - 7*m**2. Give f(a(n)).
-128*n**4
Let l(x) = 30*x**2. Let j(r) = 23*r**2 + 2*r + 27. What is j(l(u))?
20700*u**4 + 60*u**2 + 27
Let z(s) = -35*s + 28. Let g(c) = -c + 1. Suppose -f - 28 = -2*f. Let v be (-2*f)/(-1 - 1). Let w(b) = v*g(b) - z(b). Let o(i) = i. Give o(w(x)).
7*x
Let f(a) = 110*a**2. Let c(t) = -6*t**2 + 7*t**2 + 0*t**2. Let p(o) = 88*c(o) - f(o). Let z(g) = -16*g**2 + 44*g**2 - 16*g**2 - 15*g**2. What is z(p(q))?
-1452*q**4
Let t(s) = 23*s**2 - 50*s**2 + 13*s**2 + 19*s**2. Let c(u) = 397*u**2. Calculate t(c(p)).
788045*p**4
Let b(j) = j. Let h(g) = -2*g**2 + 41*g + 53. Let z be h(18). Let a(m) = 3*m - 143 + z. What is a(b(q))?
3*q
Let c(p) = -16*p + 5. Let k(h) = 2*h + 1146. Calculate k(c(r)).
-32*r + 1156
Let x(u) be the second derivative of u**4/3 - 28*u. Let q(i) = 11*i**2 + 14*i - 21. Let k(n) = -6*n**2 - 6*n + 9. Let b(o) = 7*k(o) + 3*q(o). Determine x(b(l)).
324*l**4
Suppose -5*k - 2*n + 3*n + 27 = 0, 4*k - 22 = n. Suppose -k*d + 13 - 3 = 0. Let g(b) = 24*b**2 - 35*b**d + 18*b**2. Let m(y) = -y. Give m(g(a)).
-7*a**2
Let a(s) = 3*s. Let y be ((-12)/(-10))/(3/5). Let f(m) = 14 - 3*m**y - 14 + 5*m**2 + 6*m**2. Give f(a(h)).
72*h**2
Let d(q) = 9*q**2. Suppose -2*v + 79*v = 0. Let l(u) be the third derivative of v*u**4 + 0 - 1/30*u**5 - 22*u**2 + 0*u**3 + 0*u. Determine d(l(x)).
36*x**4
Let y(b) = -2*b**2. Let f(l) = -20*l + 15593. Let m(k) = -6*k + 5199. Let d(u) = 2*f(u) - 7*m(u). Give d(y(q)).
-4*q**2 - 5207
Let y(x) be the first derivative of -91*x**3 + x + 3509. Let q(g) = g**2. Determine q(y(r)).
74529*r**4 - 546*r**2 + 1
Let v(w) = -2*w. Let u be (-92)/(-1)*(-30)/(-40). Suppose 0*g = 3*g - u. Let m(f) = -3*f + f - g*f**2 + f. Give v(m(o)).
46*o**2 + 2*o
Let v(t) = -t - 6*t - t + 5*t. Let d(y) be the third derivative of 0*y**4 + 0*y**3 + 0 - 4*y**2 + 1/15*y**5 + 0*y. Determine v(d(k)).
-12*k**2
Let k(a) = 32*a - 7 + 1 - 1 + 7 - 42*a. Let t(u) = 10*u**2 - 3*u - 3. Let g(j) = 39*j**2 - 13*j - 13. Let w(p) = 3*g(p) - 13*t(p). Determine w(k(s)).
-1300*s**2
Let j(r) = 529*r**2. Let v(p) = -3803*p**2. Determine v(j(x)).
-1064235323*x**4
Let w(z) = 2*z**2 - 17*z. Let l(n) = -32*n**2 + 20*n - 1. Let g(d) = 32*d**2 - 30*d + 2. Let r(f) = -2*g(f) - 3*l(f). Determine w(r(a)).
2048*a**4 - 672*a**2 + 19
Let a(l) = -3*l**2 - 770*l - 5. Let d(k) = 7*k + 1. Let f(b) = -a(b) - 7*d(b). Let v(p) = -p. Give f(v(h)).
3*h**2 - 721*h - 2
Let x(u) = 2*u + 763. Let z(p) = 6*p - 378. Give z(x(f)).
12*f + 4200
Let k(c) = 2*c. Let u be (-4)/(-8) + (-231)/22. Let j(d) = 295*d**2 - 20*d + 20. Let y(h) = 98*h**2 - 6*h + 6. Let o(i) = u*y(i) + 3*j(i). Calculate o(k(v)).
-380*v**2
Let f(g) = -2*g. Let c(i) = -2*i - 3*i + 17*i**2 + 16 - 17*i**2 + 38*i**2. Let y(b) = -25*b**2 + 3*b - 10. Let d(l) = 5*c(l) + 8*y(l). Calculate d(f(q)).
-40*q**2 + 2*q
Let m(c) be the first derivative of 8*c**3 + 27. Let f = -28 - -31. Let o(y) = 3*y - f*y + 0*y + y. What is m(o(v))?
24*v**2
Let k(f) = 1894421*f. Let g(s) = s. Determine k(g(w)).
1894421*w
Let a(z) = 3*z**2. Let b = 12546 - 12545. Let j(t) = -5*t + 2. Let p(r) be the second derivative of r**2/2 + r. Let c(u) = b*j(u) - 2*p(u). Determine c(a(i)).
-15*i**2
Let s(c) = 2*c**2 - 2. Let g(n) be the second derivative of 9*n**3/2 - 3865*n. Calculate g(s(i)).
54*i**2 - 54
Let k(a) = 36*a + 5. Let o(w) = -4*w**2 + 2*w - 36. Calculate k(o(v)).
-144*v**2 + 72*v - 1291
Let k(i) be the second derivative of 47*i**3 + 23*i - 19. Let w(c) = 22*c**2. Give w(k(y)).
1749528*y**2
Let y = 40 - 34. Suppose 0 = y*q - 10 - 44. Let z(c) = q - 6 - c - 3. Let h(s) = 5*s. Calculate z(h(w)).
-5*w
Let z(x) = -164*x + 18. Let c(j) = 17182*j. Determine c(z(w)).
-2817848*w + 309276
Let s(x) = -17802498*x. Let c(h) = -7*h. What is s(c(z))?
124617486*z
Let u(a) = 2773514 - 2773514 - 5*a. Let o(f) = -3*f**2 - 3*f. Determine u(o(q)).
15*q**2 + 15*q
Let c be ((-2)/(-1 - 1))/(3 - 4). Let h(a) = 16*a + 6. Let x(z) = 3*z + 1. Let i(m) = c*h(m) + 6*x(m). Let d(w) = -3*w**2 + 7. Give i(d(q)).
-6*q**2 + 14
Let c(j) = 13*j. Let b(q) = -18698*q**2 - 17. Calculate c(b(m)).
-243074*m**2 - 221
Let c(x) = 16*x**2. Let j(l) = -9*l**2. Let g(f) = 4*c(f) + 7*j(f). Let u(t) be the first derivative of 0*t**2 + 3 + 64/3*t**3 + 0*t. Calculate u(g(a)).
64*a**4
Let m(t) be the second derivative of -2*t**3/3 + 6*t + 229. Let p(a) = -102*a - 1. Calculate m(p(w)).
408*w + 4
Let u(s) = -s. Let o be (-1*736/20)/((-6)/30). Let t(n) = 85*n + 78*n - o*n. What is u(t(p))?
21*p
Let u(s) = 2 - 2 + 3*s**2. Let l(x) = -355 - 4*x + 4*x + 734 + x - 382. Determine l(u(r)).
3*r**2 - 3
Let g(b) = -2*b**2. Let a(x) = -1599*x - 1557* | {
"pile_set_name": "DM Mathematics"
} |
0 at least 62/7?
True
Which is smaller: 5285 or 5286?
5285
Which is greater: 45 or -246?
45
Which is bigger: -20/19 or -1?
-1
Which is greater: -43/31 or 0?
0
Is 3/176 equal to 0?
False
Which is smaller: 2181/2 or 1092?
2181/2
Is 361 greater than or equal to 360?
True
Which is bigger: 0 or -3237?
0
Is -27821/3 greater than or equal to -9273?
False
Which is smaller: 0 or -2/1085?
-2/1085
Which is greater: 37/5 or 8?
8
Which is bigger: 0 or -5/291?
0
Which is bigger: 5 or 1823?
1823
Is -30 at most 2/25?
True
Which is smaller: 196/57 or 4?
196/57
Is -4 less than or equal to -5?
False
Is 1 >= 14/29?
True
Is -4/5011 equal to 0?
False
Is 14428 not equal to 14427?
True
Which is greater: 9 or -0.6?
9
Is -382 > -381?
False
Is -1 <= 20/171?
True
Which is greater: -1366 or -1367?
-1366
Is -3/2101 smaller than 1?
True
Is 31 greater than or equal to 95/3?
False
Which is greater: 2017 or 1?
2017
Which is bigger: 5869 or 5870?
5870
Which is smaller: 7 or 25/3?
7
Which is smaller: -1 or -820?
-820
Which is bigger: 0 or -2/31?
0
Which is greater: 1 or -4534?
1
Is -2/3437 less than or equal to -1?
False
Which is bigger: 373 or 371?
373
Which is smaller: -262/33 or -7?
-262/33
Which is smaller: -90 or -89?
-90
Which is greater: 5 or 467?
467
Is 0 less than or equal to 2/56315?
True
Which is greater: 11/123 or 0?
11/123
Which is smaller: 575 or 574?
574
Are -143 and -143 unequal?
False
Which is greater: -547 or -1/3?
-1/3
Which is smaller: 17 or 1/4?
1/4
Is -3/2 less than -6?
False
Is -141 not equal to -142?
True
Are -45 and -31 equal?
False
Which is greater: 0.1 or 150?
150
Is 125/7 less than or equal to -1?
False
Is 3 greater than or equal to -374?
True
Are 1 and 5/67 nonequal?
True
Is 8 > 16?
False
Is 0 less than 756?
True
Which is smaller: -15/254 or -1?
-1
Is 36 != -12?
True
Is 22/491 not equal to 0?
True
Is 48457 > 48458?
False
Which is smaller: 8 or -92?
-92
Is 1112 <= 3340/3?
True
Which is smaller: 106 or 2/3?
2/3
Which is bigger: 0 or -3?
0
Is 11 != -113?
True
Is 2/8357 equal to 0?
False
Which is smaller: -39 or -40?
-40
Which is smaller: 6 or -251?
-251
Which is greater: 0 or -1/576?
0
Which is smaller: 3250 or 3252?
3250
Is -46 at most as big as -61?
False
Is -26 at least as big as -24?
False
Is -360/23 less than -16?
False
Which is bigger: -36 or -54?
-36
Is -412 >= -415?
True
Is -10109/7 < -1443?
True
Do 34/7 and 5 have the same value?
False
Do -212 and -212 have the same value?
True
Which is smaller: -3 or -112/39?
-3
Which is greater: -10 or 0.122?
0.122
Which is bigger: -10/1591 or -1?
-10/1591
Which is bigger: -730 or -731?
-730
Which is bigger: 44 or -1?
44
Is 1 at most as big as -2/3799?
False
Is 25 < 78?
True
Is -70/1291 bigger than 1?
False
Which is bigger: -5 or -854/145?
-5
Is -1002 at most as big as -1003?
False
Which is smaller: 0 or -1/6713?
-1/6713
Is -15 less than or equal to -19?
False
Is 17 at most 2?
False
Which is smaller: 977 or 4881/5?
4881/5
Are 3671 and 3670 equal?
False
Is -0.3 <= -12.8?
False
Is -284 smaller than -273?
True
Is 995 at most 994?
False
Is 1323 less than or equal to 1320?
False
Is 10 equal to 22?
False
Is -301 less than -289?
True
Is -3 < -13/4?
False
Is -362 > -7?
False
Is 15499 at least as big as 15498?
True
Is -2/3 at least as big as -0.00379?
False
Are 3/7 and 432 equal?
False
Which is greater: -9636 or -9637?
-9636
Is -2.927 less than or equal to 1?
True
Which is smaller: 91 or 97?
91
Is -1 at most -8/51?
True
Is -11 smaller than -14/5?
True
Is 5 != 660/161?
True
Is 1319 != 1318?
True
Which is greater: 1/7138 or 0.1?
0.1
Is -1253 greater than or equal to -1252?
False
Do 0.4 and 19 have the same value?
False
Is 1385 less than 1391?
True
Is -1.5 bigger than 86?
False
Which is smaller: -1 or -2/733?
-1
Which is smaller: -12.4 or 6/11?
-12.4
Which is smaller: 561 or 593?
561
Which is smaller: 0.27 or 2/5?
0.27
Which is smaller: 676 or 8778/13?
8778/13
Which is smaller: -344 or -343?
-344
Which is smaller: -1 or 1/359?
-1
Is -2 > -12/5?
True
Which is greater: -504 or -503?
-503
Which is smaller: -1/46 or -1/15?
-1/15
Is -52 <= -50?
True
Which is greater: 44/29 or 3?
3
Is -1/6058 < -1?
False
Is 1 >= -2/769?
True
Which is smaller: -1 or -11/1096?
-1
Is -105 smaller than -107?
False
Is 1661/4 at least 414?
True
Is 8/9 less than 2?
True
Which is greater: 2/1095 or -1?
2/1095
Which is greater: 11/811 or 1?
1
Is -2 at most -1/2?
True
Which is smaller: 0 or -1/615?
-1/615
Are -21 and -15 equal?
False
Is 198 less than 2?
False
Is -69 >= -0.1?
False
Which is smaller: 1 or 16429?
1
Is -0.2 greater than -1027?
True
Which is smaller: 0 or 1/39231?
0
Which is smaller: -3026 or -3025?
-3026
Which is smaller: 485/44 or 10?
10
Is 9083 <= 9081?
False
Is -276 not equal to -12?
True
Is -3/580 not equal to -1?
True
Do -39 and 7 have different values?
True
Is 498/37 smaller than 12?
False
Is -450 bigger than -14?
False
Which is greater: -0.053 or 2/71?
2/71
Which is smaller: 98 or 105?
98
Which is bigger: 360/11 or 32?
360/11
Which is greater: 3/10 or 37?
37
Is -4520/7 <= -645?
True
Which is smaller: -1 or -22/39?
-1
Which is smaller: 1038 or 1039?
1038
Is 25/16 > 3?
False
Is -185 at most as big as -184?
True
Is 158/33 greater than 5?
False
Which is bigger: 2 or 58/27?
58/27
Is 1720 at most 1713?
False
Is -1862 > -1863?
True
Which is greater: 17/2 or 57?
57
Is -2486 at least -2488?
True
Do 1 and 6/629 have different values?
True
Is 94 at least 89?
True
Are -6 and -1/14 unequal?
True
Which is smaller: -3 or -13/4?
-13/4
Which is bigger: -846/13 or -65?
-65
Which is bigger: 4 or -27?
4
Is -20/17 <= -0.2?
True
Which is smaller: 425 or 427?
425
Is -34158 bigger than -34158?
False
Is 3513 greater than or equal to 3514?
False
Are -13 and 195/2 non-equal?
True
Is -0.2 bigger than -2526?
True
Is -871 not equal to -869?
True
Is -6 <= 171?
True
Is 9824 >= 9826?
False
Are 94 and 98 unequal?
True
Is -0.1516 >= 0.1?
False
Is 43 greater than 46?
False
Which is greater: -90 or -83?
-83
Is -71 at least as big as -68?
False
Which is greater: 0 or 108?
108
Which is smaller: -1 or -20/27?
-1
Is -13594 bigger than -13594?
False
Is -3218 greater than or equal to -0.1?
False
Is -5566 less than -5566?
False
Which is smaller: 42/1247 or 1?
42/1247
Is 172 less than 170?
False
Which is bigger: 349 or 348?
349
Which is smaller: 1/7166 or -1?
-1
Which is greater: 197 or 219?
219
Do 0 and 1/49 have the same value?
False
Is 1/4162 at least 1?
False
Is -383 at least as big as -37?
False
Is -254 greater than -255?
True
Which is bigger: 8191/4 or 2047?
8191/4
Which is bigger: 0 or 32/31?
32/31
Which is smaller: 0.468 or 0?
0
Which is bigger: 0.3 or -0.0825?
0.3
Which is bigger: -2/5 or 0.892?
0.892
Is -1130 at most as big as -1130?
True
Is -4696 not equal to -4696?
False
Which is bigger: -3/4781 or 0?
0
Which is smaller: -10 or -835/73?
-835/73
Is -134 equal to -134?
True
Which is smaller: 170 or 157?
157
Is 88 less than or equal to 104?
True
Are -5858 and -1 unequal?
True
Which is smaller: 37 or 36?
36
Which is smaller: -601/24 or -25?
-601/24
Which is bigger: 2 or 73?
73
Does 2219 = 2220?
False
Is -67 > -55?
False
Is 12606 bigger than 12606?
False
Which is bigger: 2/53 or 0.41?
0.41
Which is greater: -4/25505 or 0?
0
Is 8/5 not equal to -0.2?
True
Which is bigger: -1566 or -1565?
-1565
Is -10 smaller than 579/2?
True
Which is bigger: 616 or 615?
616
Is 1 < 4/9915?
False
Which is smaller: 3/2 or 0.3?
0.3
Which is bigger: -2299 or -4/3?
-4/3
Which is bigger: -6 or -20/3?
-6
Which is smaller: -50/9 or -7?
-7
Are 2/7489 and 0 nonequal?
True
Is -1691 at least as big as -1690?
False
Is -2004/23 >= -86?
False
Which is bigger: -1570 or -1569?
-1569
Which is smaller: 1.3 or 5/6?
5/6
Which is smaller: 18/43 or 0?
0
Is -2 at least as big as -24/17?
False
Which is smaller: -110 or -113?
-113
Which is greater: -108 or -106?
-106
Is 1 != -3/2068?
True
Are 1/43084 and 0 non-equal?
True
Is 1 bigger than 2/155?
True
Which is smaller: -1/537 or 0?
-1/537
Which is bigger: 1 or -7106?
1
Are 1 and 1/600 nonequal?
True
Is -29 smaller than -19?
True
Are -6 and 5 equal?
False
Are -2/9 and -0.1 non-equal?
True
Which is greater: -7/2 or 10?
10
Is 2/11511 less than -1?
False
Which is smaller: 3/88 or 0?
0
Is -1574 != -1572?
True
Is -0.178 not equal to -26/7?
True
Is 104 not equal to 10 | {
"pile_set_name": "DM Mathematics"
} |
10) - sqrt(110)*-1))/(5*3*sqrt(10)).
-2*sqrt(11)/5
Simplify (1*sqrt(119))/sqrt(7) + sqrt(102)/sqrt(216).
7*sqrt(17)/6
Simplify (4 + -1 + (2 + sqrt(13) - sqrt(13)) + sqrt(13))**2*-5.
-190 - 50*sqrt(13)
Simplify (sqrt(5)*1 + -1 - (sqrt(5) + -2*sqrt(20) + sqrt(20)) - (sqrt(480)/sqrt(6) - (1 + sqrt(5)*-1)))**2.
45
Simplify (sqrt(42)/sqrt(54))**2 + sqrt(700) + 0.
7/9 + 10*sqrt(7)
Simplify ((sqrt(1008) + sqrt(1008) + sqrt(1008)*-3)/(2*sqrt(324)))**2.
7/9
Simplify ((0 + sqrt(832))*-4)**2.
13312
Simplify ((1*sqrt(150))/sqrt(6))/((-1*sqrt(55))/sqrt(11)).
-sqrt(5)
Simplify (5*(sqrt(304) - (sqrt(304)*2 - sqrt(304))))**2 - (sqrt(190)/(1*sqrt(10)) + (-1*sqrt(57))/sqrt(3)).
0
Simplify sqrt(99) + (-5*(-1 + sqrt(99)))**2.
-147*sqrt(11) + 2500
Simplify 4*(3*(sqrt(70) - (sqrt(70) + -1*sqrt(70))))/sqrt(10).
12*sqrt(7)
Simplify ((-4*sqrt(91)*-4 - sqrt(91))/((sqrt(42)*4)/sqrt(6)))**2.
2925/16
Simplify (-3*(sqrt(200) + (-1*sqrt(200) - sqrt(200))*-1 - sqrt(200)))**2.
7200
Simplify (-2*sqrt(2736) - sqrt(19)) + (sqrt(19) - ((sqrt(19) - sqrt(95)/sqrt(5)) + 2))**2.
-29*sqrt(19) + 23
Simplify -5 + -2*sqrt(425).
-10*sqrt(17) - 5
Simplify (sqrt(1296)*-1 + sqrt(1296))/sqrt(8).
0
Simplify -3 + (sqrt(1573) + -3)**2 + 4.
-66*sqrt(13) + 1583
Simplify -3*((sqrt(130)*1 - sqrt(130))*4)/(-2*sqrt(1440) + sqrt(1440)).
0
Simplify (sqrt(63)*-3)**2 + -5.
562
Simplify -2*(4 + (sqrt(40)/sqrt(5) + sqrt(8))**2).
-72
Simplify sqrt(17) + (sqrt(17) - (-3 + sqrt(2448))) - (-1*sqrt(2057) + sqrt(2057)).
-10*sqrt(17) + 3
Simplify (sqrt(90)/(-2*sqrt(5)))/(sqrt(9) - ((sqrt(81) - (sqrt(81) - (sqrt(81) + 1*sqrt(81) - sqrt(81)) - sqrt(81))) + sqrt(81) - sqrt(81))).
sqrt(2)/10
Simplify (sqrt(720) - (sqrt(720) + 2*sqrt(720)))/(sqrt(18)/sqrt(32)).
-32*sqrt(5)
Simplify (-1*(sqrt(11) + sqrt(11) + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(5)))**2.
44
Simplify (-5*(1*sqrt(209) - sqrt(209) - sqrt(209)) + sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209))/(-1*sqrt(891)).
-sqrt(19)/3
Simplify -5*-2*sqrt(30)/sqrt(6).
10*sqrt(5)
Simplify 1 + (1*(0 + sqrt(63)) + sqrt(63))**2.
253
Simplify -2 + (0 + sqrt(3))**2 - sqrt(21)/(-1*sqrt(7)).
1 + sqrt(3)
Simplify -3*(sqrt(36)/sqrt(3))/sqrt(4).
-3*sqrt(3)
Simplify (5 + sqrt(102)/(sqrt(6) + 2*sqrt(6)))*-5.
-25 - 5*sqrt(17)/3
Simplify (-2 + 2 + sqrt(192))**2.
192
Simplify sqrt(30)/(6*(sqrt(10) + sqrt(10)*2)).
sqrt(3)/18
Simplify (0 + sqrt(20) + 1 - sqrt(20))**2 - (sqrt(40)/sqrt(2)*1)**2.
-19
Simplify (sqrt(17) + sqrt(34)/sqrt(18))**2 - (5 + (sqrt(17) - sqrt(17)*2) - sqrt(17)).
2*sqrt(17) + 227/9
Simplify 4 + sqrt(20)/(sqrt(40)/sqrt(4)).
sqrt(2) + 4
Simplify (sqrt(17) - -1*sqrt(17)) + 1 - (sqrt(272)*-1 + sqrt(17)).
1 + 5*sqrt(17)
Simplify 4*(1 + sqrt(2299) + sqrt(2299))*-5.
-440*sqrt(19) - 20
Simplify (sqrt(112) + -1*(sqrt(112) - 1*sqrt(112))**2)*2*5.
40*sqrt(7)
Simplify ((-2 + sqrt(98))*-6 - sqrt(98))**2 + 2.
-1176*sqrt(2) + 4948
Simplify sqrt(18)/sqrt(9)*-3 - (sqrt(8) - sqrt(24)/sqrt(3)).
-3*sqrt(2)
Simplify ((sqrt(27) + 4)*6)**2.
864*sqrt(3) + 1548
Simplify (sqrt(52)/(sqrt(64)*-1) + -3)**2.
3*sqrt(13)/2 + 157/16
Simplify -1 + (-1*sqrt(320))/sqrt(10).
-4*sqrt(2) - 1
Simplify -3 + 1*sqrt(1539).
-3 + 9*sqrt(19)
Simplify -5 + sqrt(187)/(-1*sqrt(11)).
-5 - sqrt(17)
Simplify (-1 + sqrt(448) + -3 + 4)**2.
448
Simplify sqrt(18)/(-1*sqrt(1089)).
-sqrt(2)/11
Simplify (-1*4*sqrt(2) - (0 + sqrt(4)/sqrt(2)))**2.
50
Simplify ((sqrt(30) - (sqrt(1920) - (sqrt(1920) + 2*sqrt(1920) - sqrt(1920))))/(sqrt(726)*2 + sqrt(726) + sqrt(726)))**2.
405/1936
Simplify (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + 1 + 0)) + sqrt(605) - (sqrt(605) + (-1*(0 + sqrt(605)) - sqrt(605))))**2.
-44*sqrt(5) + 2421
Simplify -6*((sqrt(19)*1)**2 + -5 + 0).
-84
Simplify 6*sqrt(66)/(sqrt(72)/sqrt(1452)).
66*sqrt(11)
Simplify (sqrt(133) + -5*sqrt(133)*-2)/(-1*(sqrt(35)/sqrt(5) + sqrt(7))).
-11*sqrt(19)/2
Simplify (-6*sqrt(480))/(sqrt(216) - sqrt(54)).
-8*sqrt(5)
Simplify sqrt(9)/(sqrt(75)*-2).
-sqrt(3)/10
Simplify (-2*sqrt(1300) + sqrt(1300))**2*6.
7800
Simplify (2 + -2 + (sqrt(189)/sqrt(3) - sqrt(63)))**2.
0
Simplify -1 + sqrt(252) - (0 + sqrt(7))*2.
-1 + 4*sqrt(7)
Simplify (5 + sqrt(81)/sqrt(3) + -2)**2 + -5.
31 + 18*sqrt(3)
Simplify -4 + (sqrt(45)/sqrt(36) + 2)**2.
5/4 + 2*sqrt(5)
Simplify ((sqrt(42)/sqrt(2))/sqrt(7))**2 + -3 + (sqrt(3) + 1 - sqrt(3)).
1
Simplify -2*((-1 + sqrt(38)/sqrt(2))**2 + 6*sqrt(57)/sqrt(3)).
-40 - 8*sqrt(19)
Simplify (-4 + -3*-2*(-1 + sqrt(17)))**2.
-120*sqrt(17) + 712
Simplify -2*(sqrt(432) - (sqrt(432) + 1)) - (4 + -3*sqrt(432)).
-2 + 36*sqrt(3)
Simplify 6*(0 + (-6*(-1 + sqrt(108)))**2).
-2592*sqrt(3) + 23544
Simplify ((sqrt(33)*2)/sqrt(3))**2 + (sqrt(198)/sqrt(6))/sqrt(3).
sqrt(11) + 44
Simplify (5*1*sqrt(156) - sqrt(156))/(sqrt(972)*-1).
-4*sqrt(13)/9
Simplify (sqrt(320)*2*-4 + 1*sqrt(320)*-1)**2 + -4.
25916
Simplify ((sqrt(7) - (sqrt(567) + 1*sqrt(567))) + -2*(sqrt(7) - (sqrt(112))**2) + 5)*3.
-57*sqrt(7) + 687
Simplify ((sqrt(11) + sqrt(44)/sqrt(4))*-5)**2*-1.
-1100
Simplify sqrt(20) + 2 + sqrt(5)*1 + sqrt(5) + -3.
-1 + 4*sqrt(5)
Simplify -6*(sqrt(7) + sqrt(448) + 0).
-54*sqrt(7)
Simplify (-1*(sqrt(112)/sqrt(8) - sqrt(14)) + sqrt(14))/sqrt(7)*-4.
-4*sqrt(2)
Simplify ((sqrt(612) + -2 + sqrt(612) - sqrt(612)) + -4 - -1*sqrt(612)*-1)**2.
36
Simplify (sqrt(2) - (sqrt(8)/sqrt(4) - sqrt(2))) + 4 + sqrt(108)/sqrt(6).
4 + 4*sqrt(2)
Simplify ((sqrt(112) + -2)*6)**2.
-576*sqrt(7) + 4176
Simplify sqrt(16)/((sqrt(24)/sqrt(3) - sqrt(8)) + sqrt(8))*-2.
-2*sqrt(2)
Simplify (5*(sqrt(72) - (4 + 0 + sqrt(72)))*-4)**2.
6400
Simplify 0 + (sqrt(99)*-3)/sqrt(9).
-3*sqrt(11)
Simplify ((2*sqrt(80) + -1 - sqrt(80))**2 - sqrt(80)) + 4.
-12*sqrt(5) + 85
Simplify ((sqrt(325) + (-5*1*sqrt(325) + sqrt(325) - sqrt(325)) + sqrt(325))*4)**2.
46800
Simplify (sqrt(153) + sqrt(153) + 3*-1*sqrt(153) - sqrt(153))/(sqrt(576) - sqrt(9)).
-2*sqrt(17)/7
Simplify 1 + sqrt(833) + sqrt(153)/(-2*sqrt(9)).
1 + 13*sqrt(17)/2
Simplify sqrt(30)/sqrt(24) + 1*(sqrt(5) + 0)**2 - sqrt(80)*-5*5.
5 + 201*sqrt(5)/2
Simplify -5*(4*sqrt(12)/(-1*sqrt(4)))**2.
-240
Simplify (0 + sqrt(108) - sqrt(108))*5 + sqrt(108) - sqrt(27)/(sqrt(1296) - (sqrt(1296) + sqrt(1296)*-2 + sqrt(1296) - sqrt(1296))).
143*sqrt(3)/24
Simplify (4*sqrt(475))**2 + 4.
7604
Simplify ((sqrt(468))**2 + -1 - (-4 + sqrt(13) + -2)) + 3.
-sqrt(13) + 476
Simplify 4*sqrt(19)*-2 + sqrt(19)*-2*-1.
-6*sqrt(19)
Simplify (4*sqrt(200) - (sqrt(2) + -1 + -5))**2.
468*sqrt(2) + 3078
Simplify (1 + sqrt(396) + sqrt(396))**2*1*-3.
-4755 - 72*sqrt(11)
Simplify (sqrt(896)*-2)/(sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*-2)) + sqrt(800)).
-sqrt(7)/5
Simplify (2*-2*sqrt(153) - sqrt(153))**2.
3825
Simplify (sqrt(33) + sqrt(33) + -2*sqrt(1617))/((sqrt(6) + sqrt(54) + sqrt(6))/sqrt(2)).
-12*sqrt(11)/5
Simplify 1 + sqrt(684) - (2 + sqrt(19) + -1) - (sqrt(57)/sqrt(3))**2*-1*-4.
-76 + 5*sqrt(19)
Simplify 5 + (sqrt(17) - (2 + 1 + sqrt(17)) - sqrt(17) - (sqrt(170)/(sqrt(60)/sqrt(6)) - sqrt(17))).
-sqrt(17) + 2
Simplify (-3 + (2*sqrt(800))**2)*-1.
-3197
Simplify ((3 + sqrt(180))**2 - sqrt(180))*-6.
-1134 - 180*sqrt(5)
Simplify (1 + (sqrt(192) + -1)*5)**2.
-320*sqrt(3) + 4816
Simplify ((sqrt(7) - (sqrt(112) + 5))**2 + 4)*4.
120*sqrt(7) + 368
Simplify (sqrt(132)*-2)/(sqrt(3) + (sqrt(18)/sqrt(3) - sqrt(6))/sqrt(2)) + 0.
-4*sqrt(11)
Simplify (5 + 2 + sqrt(38)/sqrt(2))*2.
2*sqrt(19) + 14
Simplify (sqrt(70)*-1*-4 + sqrt(70))/(-1*sqrt(1210)).
-5*sqrt(7)/11
Simplify (sqrt(19)*1 + 2)**2 + (sqrt(76))**2*-6.
-433 + 4*sqrt(19)
Simplify sqrt(7) + (sqrt(35)*-1)/sqrt(5) + -2 + sqrt(28).
-2 + 2*sqrt(7)
Simplify (-5 + (sqrt(320) - (-2*sqrt(320) - sqrt(320))))**2 + (-4*(sqrt(320) - (sqrt(320)*-2 + sqrt(320))))**2.
-320*sqrt(5) + 25625
Simplify -6*(-1 + (sqrt(325) - sqrt(13))**2 + (-2 + sqrt(13))*-5).
-1302 + 30*sqrt(13)
Simplify (sqrt(85) - 1*sqrt(85)*1)/sqrt(180).
0
Simplify (sqrt(72)/sqrt(18) + sqrt(36))/(sqrt(48)/(sqrt(8)/sqrt(2))).
4*sqrt(3)/3
Simplify -4*(3*2*sqrt(539))**2 + 1.
-77615
Simplify ((sqrt(99) + -2)*-4 + 1)**2.
-216*sqrt(11) + 1665
Simplify -4*(sqrt(7) + sqrt(28)) + (sqrt(112))**2*-2.
-224 - 12*sqrt(7)
Simplify (1 + sqrt(252)*-2*6)**2.
-144*sqrt(7) + 36289
Simplify 1 + sqrt(363) + (-3 + sqrt(192))**2.
-37*sqrt(3) + 202
Simplify (sqrt(44)*-3 - sqrt(11))*-3.
21*sqrt(11)
Simplify sqrt(14)/(5*sqrt(50) + sq | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of -23/24 and -137/12150?
48600
What is the smallest common multiple of 99 and 27951?
83853
What is the least common multiple of 342067 and 186582?
2052402
What is the least common multiple of 27048 and 294?
27048
What is the lowest common multiple of 63 and 1494?
10458
What is the common denominator of 149/29262 and -39/24385?
146310
What is the lowest common multiple of 105 and 1740?
12180
Find the common denominator of -125/17952 and -19/15180.
2064480
What is the common denominator of 31/276960 and -68/165?
3046560
What is the common denominator of 145/156 and -15/69352?
2704728
Calculate the lowest common multiple of 4 and 13457.
53828
Calculate the common denominator of -5/1073 and -19/19129.
554741
Calculate the least common multiple of 3324 and 8864.
26592
Find the common denominator of -54/119 and -125/841568.
841568
Calculate the least common multiple of 8 and 716484.
1432968
What is the lowest common multiple of 27 and 228114?
684342
Calculate the common denominator of 46/171 and 93/608.
5472
What is the common denominator of -38/7705 and 50/69?
23115
Calculate the least common multiple of 15 and 67284.
336420
What is the common denominator of 59/966 and 5/221214?
221214
Calculate the smallest common multiple of 18685 and 5180.
523180
Calculate the smallest common multiple of 32 and 5296.
10592
Calculate the smallest common multiple of 540 and 42.
3780
Calculate the least common multiple of 1811664 and 12.
1811664
Calculate the smallest common multiple of 6 and 3671470.
11014410
What is the common denominator of 41/5760 and -16/185?
213120
Calculate the smallest common multiple of 106272 and 15744.
425088
Calculate the smallest common multiple of 533370 and 40.
2133480
Calculate the common denominator of -83/3648 and -15/209.
40128
What is the common denominator of -58/67165 and -97/14?
134330
Find the common denominator of 43/3384 and -79/47470.
1708920
What is the common denominator of 77/154620 and 33/85900?
773100
Calculate the common denominator of 93/5000 and -83/1300.
65000
What is the common denominator of -22/144027 and 53/390?
1440270
Calculate the smallest common multiple of 1038 and 12802.
38406
Calculate the lowest common multiple of 14756 and 60.
221340
Calculate the least common multiple of 668240 and 200472.
2004720
Calculate the common denominator of 3/65 and 67/109252.
546260
Calculate the smallest common multiple of 24428 and 1773.
219852
What is the smallest common multiple of 20 and 13244?
66220
What is the common denominator of -167/420 and 89/494214?
4942140
What is the common denominator of -53/4680 and 181/260910?
1043640
Find the common denominator of 109/80 and -73/8488.
84880
What is the common denominator of -77/175024 and -89/8?
175024
What is the least common multiple of 6 and 100299?
200598
Calculate the least common multiple of 2868 and 7.
20076
What is the common denominator of -79/100422 and -31/8767?
1104642
What is the smallest common multiple of 32346 and 162?
97038
What is the lowest common multiple of 7000 and 2660?
133000
Calculate the common denominator of 29/145629 and 39/7355.
728145
Calculate the lowest common multiple of 48 and 27096.
54192
What is the common denominator of 39/282472 and 49/51?
847416
Calculate the lowest common multiple of 11530 and 11530.
11530
What is the common denominator of 63/892 and -59/4683?
18732
What is the smallest common multiple of 1876 and 8?
3752
Calculate the common denominator of -19/8 and -17/7740.
15480
Calculate the common denominator of -19/21868 and -49/22.
21868
What is the common denominator of 133/36 and 167/184500?
184500
What is the common denominator of 23/636 and 7/318?
636
Find the common denominator of 121/1674 and -95/95604.
860436
What is the common denominator of -59/962400 and -187/2160?
8661600
What is the common denominator of 47/26768 and 12/122129?
1954064
Calculate the common denominator of 9/62410 and -31/436870.
436870
What is the smallest common multiple of 440303 and 9?
3962727
Find the common denominator of 151/276 and 149/22218.
44436
Calculate the least common multiple of 27 and 13257.
13257
Calculate the smallest common multiple of 44 and 77076.
847836
Find the common denominator of 22/27 and 46/89301.
803709
Calculate the common denominator of 17/511 and 49/10074.
70518
Calculate the lowest common multiple of 125892 and 440622.
881244
Calculate the lowest common multiple of 3840 and 17280.
34560
Calculate the least common multiple of 35230 and 6.
105690
What is the smallest common multiple of 276 and 80155?
961860
What is the common denominator of -1/3696 and 19/11088?
11088
What is the common denominator of 28/905 and -71/3620?
3620
Calculate the smallest common multiple of 672 and 17304.
69216
What is the common denominator of -61/1855295 and 43/10166?
3710590
What is the least common multiple of 60080 and 18?
540720
What is the smallest common multiple of 309 and 2391?
246273
What is the least common multiple of 18 and 15912?
15912
What is the smallest common multiple of 6468 and 640332?
640332
Find the common denominator of -141/70 and -53/184828.
924140
What is the smallest common multiple of 14 and 463304?
3243128
Calculate the lowest common multiple of 4 and 21783.
87132
What is the lowest common multiple of 324000 and 560?
2268000
What is the common denominator of 107/1562 and -67/1136?
12496
Calculate the least common multiple of 612300 and 5200.
2449200
Calculate the lowest common multiple of 4120 and 5150.
20600
What is the smallest common multiple of 75 and 137223?
3430575
Calculate the least common multiple of 12960 and 15120.
90720
Calculate the common denominator of -61/13425 and 51/1790.
26850
Calculate the common denominator of 76/206925 and 67/413850.
413850
Find the common denominator of 91/270 and 163/2070.
6210
What is the smallest common multiple of 300 and 528?
13200
Calculate the common denominator of 11/19656 and -37/280.
98280
Calculate the least common multiple of 99 and 265155.
795465
What is the smallest common multiple of 953 and 1389?
1323717
Calculate the least common multiple of 56 and 6720.
6720
What is the common denominator of 28/5 and 67/448120?
448120
Find the common denominator of -35/28372 and 79/12.
85116
What is the lowest common multiple of 618 and 8755?
52530
Calculate the common denominator of 82/17895 and 181/1200.
1431600
Calculate the least common multiple of 80 and 81620.
326480
Find the common denominator of 10/27 and 73/25542.
25542
Find the common denominator of 7/15 and 133/28086.
140430
What is the lowest common multiple of 22692 and 2196?
68076
Calculate the lowest common multiple of 104160 and 19840.
416640
Find the common denominator of 49/53526 and -61/8110.
267630
What is the smallest common multiple of 96 and 32448?
32448
What is the common denominator of -67/1981130 and -13/3?
5943390
What is the smallest common multiple of 12 and 18555?
74220
Find the common denominator of 17/18000 and -95/32.
36000
Calculate the least common multiple of 630 and 225.
3150
What is the smallest common multiple of 3 and 123030?
123030
Find the common denominator of -127/15680 and 143/7840.
15680
Calculate the common denominator of 95/8168 and -107/100058.
400232
What is the smallest common multiple of 16 and 2472?
4944
Find the common denominator of -25/7616 and 48/133.
144704
Calculate the smallest common multiple of 13938 and 78.
181194
What is the common denominator of -32/14247 and 5/3166?
28494
Find the common denominator of -193/1021350 and 111/247600.
8170800
Calculate the lowest common multiple of 57 and 2174436.
2174436
Find the common denominator of -107/56588 and 113/202100.
1414700
Calculate the least common multiple of 5 and 17130.
17130
What is the least common multiple of 430 and 4?
860
What is the smallest common multiple of 23 and 434?
9982
Calculate the common denominator of -37/230 and -97/1840.
1840
What is the common denominator of -49/34 and -77/27058?
459986
What is the smallest common multiple of 39972 and 24?
79944
Calculate the least common multiple of 25066 and 10.
125330
Calculate the least common multiple of 2244 and 1964622.
3929244
What is the least common multiple of 14955 and 30?
29910
Find the common denominator of -9/ | {
"pile_set_name": "DM Mathematics"
} |
e) 136
e
What is the second biggest value in 36, -2/21, 10, 1, -0.2?
10
Which is the third smallest value? (a) 0.1 (b) -10 (c) 15/7 (d) 1 (e) -5
a
Which is the fifth biggest value? (a) -2 (b) -13 (c) -0.1 (d) 67 (e) -1/2
b
What is the second biggest value in 0.04, 0.2, 22, -78, 3/5?
3/5
What is the fourth smallest value in -5, -25/4, 825/7, -1?
825/7
Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -0.1 (d) -3 (e) -4744 (f) -1/8
b
What is the second biggest value in -14561, -3, 3, -0.4?
-0.4
Which is the third smallest value? (a) 3 (b) 0.0624 (c) -0.29
a
Which is the fourth smallest value? (a) 2/3 (b) -5 (c) 5 (d) -97/3 (e) -28 (f) -0.1
f
What is the fourth biggest value in -1/5, -2/9, 1, -0.1, 18?
-1/5
Which is the second smallest value? (a) 13/27 (b) 85.5 (c) -4/5
a
What is the biggest value in 2/7, 14533.9, 4, 0.4, -1, -2/5?
14533.9
What is the second smallest value in -127, -803, 3/7?
-127
What is the fourth smallest value in -0.2, -1416/5, -1, -3?
-0.2
Which is the third biggest value? (a) 1273 (b) -4 (c) 17 (d) -1 (e) 2 (f) 1/8
e
Which is the biggest value? (a) -7 (b) 17/3 (c) -0.03 (d) -2/7
b
What is the third smallest value in 0.01, 2, -3.359?
2
Which is the smallest value? (a) -6 (b) -2/9 (c) 28/13
a
Which is the second smallest value? (a) 3/8 (b) 2/7 (c) 1 (d) -9 (e) 0.034 (f) 4
e
What is the fourth smallest value in -87, -29, 1, -3/5?
1
What is the second biggest value in -122, 1/3, -1, -4.7, 1?
1/3
Which is the second biggest value? (a) -0.54 (b) 0.3 (c) 0.5
b
What is the smallest value in 2, 4, -5373.93?
-5373.93
What is the third biggest value in 0.2, -1, -4, 2, -1/115?
-1/115
What is the fifth biggest value in -0.2, 2/11, 10, -3/7, -1?
-1
What is the second smallest value in 38, 0.279, 2?
2
What is the third smallest value in -0.15, -3, -0.1?
-0.1
What is the second smallest value in -3, -52, 11, -73.8, 0.4?
-52
Which is the third biggest value? (a) -0.0562 (b) -1 (c) 1 (d) -3/19
d
What is the second smallest value in -4, 24/2863, -5?
-4
What is the third smallest value in -10/3, -5, -2/17, -0.15, -1/22?
-0.15
What is the fourth biggest value in 2/3, 0.32, 12/181, -8/5?
-8/5
Which is the second biggest value? (a) -1/3 (b) -0.2 (c) -51119
a
Which is the fifth biggest value? (a) 2 (b) 6 (c) 1/4 (d) -2/3 (e) -0.4 (f) -22
d
What is the fourth smallest value in 0.2, 116, 2, -14, -1, 3?
2
Which is the third smallest value? (a) 0.5 (b) 9 (c) 11/3 (d) -6
c
Which is the second biggest value? (a) -823 (b) 5 (c) 0
c
What is the second biggest value in 2124, 37, -3?
37
What is the fifth smallest value in 4, -9/8, 0.5, -3/7, -0.4?
4
What is the biggest value in 56/19, -2.7, -0.17, 0.1, -2/9?
56/19
Which is the second smallest value? (a) 1.373 (b) 0.277 (c) -0.2
b
What is the second biggest value in 4/23, -0.05, -12, -1, -2, 0.4?
4/23
What is the smallest value in 0.179, -27.01, -0.2, -0.5?
-27.01
Which is the fourth smallest value? (a) 20 (b) 17 (c) -3/8 (d) 0
a
What is the biggest value in 0.1551, 0.08, -4, 2?
2
Which is the fourth smallest value? (a) 45 (b) 3 (c) -0.4 (d) -4/3 (e) 18.1
e
Which is the smallest value? (a) 1/4 (b) 7 (c) 0 (d) -5 (e) -1 (f) 195
d
Which is the third smallest value? (a) 1 (b) -5405 (c) -4
a
What is the third smallest value in -0.4, -6, 2/3?
2/3
What is the third biggest value in 0.5, -2/9, 344418?
-2/9
Which is the third biggest value? (a) 72 (b) 28 (c) -4 (d) -0.2 (e) 6
e
Which is the second smallest value? (a) 0.119 (b) -4/3 (c) 10
a
What is the third smallest value in 2/9, 0.4, -5/4, -375?
2/9
What is the third biggest value in -3/2, 64282, -2, -0.1?
-3/2
Which is the second smallest value? (a) -2/7 (b) -10 (c) 0.3 (d) 34691
a
What is the third smallest value in -1, -14, -4, -2472?
-4
Which is the third smallest value? (a) -4.37 (b) 142 (c) 0 (d) -2/11
c
Which is the third smallest value? (a) 4 (b) 2/11 (c) -2 (d) 11.7 (e) -7
b
What is the smallest value in -17, 1/11, -1, 4, 0?
-17
Which is the smallest value? (a) -10686 (b) -0.05 (c) 0.1
a
Which is the smallest value? (a) -0.091 (b) 2 (c) -7/18 (d) 3
c
What is the second smallest value in 86, 11, 156?
86
What is the fourth smallest value in -4, 0.8, -2.6, 5.1?
5.1
What is the second biggest value in -1/7, -1526, 1?
-1/7
What is the second smallest value in -3/11, -0.2, -0.3, 4, 3/205?
-3/11
Which is the biggest value? (a) -2 (b) 4/7 (c) -2/2255 (d) 0.11
b
Which is the third smallest value? (a) 5 (b) -0.4 (c) -117 (d) 2/7 (e) -4/11
e
What is the second smallest value in -0.3, -137, 5/8?
-0.3
Which is the second biggest value? (a) 2/7 (b) -3 (c) 0.13 (d) -75 (e) 3
a
What is the smallest value in -18.3, -1/3, -0.091?
-18.3
What is the fifth biggest value in 188, 3, -0.14, -0.5, -4?
-4
What is the smallest value in -2/7, -17, 337?
-17
Which is the third smallest value? (a) -1/11 (b) -0.02 (c) -0.1 (d) -3/143 (e) -0.242
a
Which is the smallest value? (a) -52848 (b) -1/8 (c) 3 (d) -2/3
a
What is the fourth biggest value in 1/2, -3/7, -11, 294, 3, 24?
1/2
What is the second biggest value in 5, 2, -964.5?
2
Which is the third smallest value? (a) 3/5 (b) 1/3 (c) -9 (d) -32 (e) -3
e
Which is the second smallest value? (a) -3/137 (b) -4 (c) 4602
a
What is the third smallest value in 1/2, -0.1, 2, 0.103, -1/3?
0.103
Which is the second biggest value? (a) -2/3 (b) -65 (c) 230 (d) -3
a
Which is the fourth biggest value? (a) -16 (b) 0.3 (c) 5 (d) -15 (e) -19
a
What is the sixth biggest value in 0.4, 1/2, -1/137, 40, 1/4, 0?
-1/137
Which is the fourth smallest value? (a) 3/7 (b) -0.2 (c) 2/19 (d) 96
d
Which is the fourth biggest value? (a) 0.1 (b) 3 (c) -34 (d) -1/5
c
Which is the sixth biggest value? (a) 1/7 (b) -76 (c) 0.4 (d) 32 (e) -3 (f) 1/6
b
What is the fifth smallest value in -1/2, 2, 42, -14, 20?
42
Which is the smallest value? (a) 2/5 (b) -40992 (c) -1
b
What is the fourth biggest value in 0, 47, 40, 4?
0
Which is the smallest value? (a) -36 (b) 11 (c) -18
a
Which is the second smallest value? (a) 0 (b) 12/35 (c) 6.3
b
What is the sixth smallest value in 25, 2/7, 2/3, -1/9, 4, -9.7?
25
What is the third biggest value in 305, 306, -1, 2?
2
Which is the second smallest value? (a) 0.4 (b) 19 (c) -4 (d) -1
d
What is the second biggest value in -11/4, -6, -12/59?
-11/4
Which is the third smallest value? (a) -52407 (b) 4 (c) 0 (d) -4
c
What is the fourth biggest value in -8/11, 2, -6, -12/11?
-6
What is the smallest value in 5, 0, 2, -9.44, -2?
-9.44
Which is the smallest value? (a) 133 (b) -0.4 (c) -2/3 (d) -403
d
Which is the biggest value? (a) 144 (b) -0.5 (c) 16 (d) 1/5
a
Which is the biggest value? (a) -5 (b) -2/9 (c) -0.2 (d) 0.4 (e) -2.5 (f) 3
f
Which is the fifth biggest value? (a) 279 (b) 36 (c) 3/8 (d) -0.2 (e) 0.3
d
What is the fifth biggest value in -1, -0.3, 3, -2/17, -0.4, -0.277?
-0.4
Which is the fifth biggest value? (a) -1/4 (b) 81.9 (c) -0.3 (d) -5 (e) -0.5
d
Which is the smallest value? (a) 0 (b) -1 (c) -169927 (d) -4
c
Which is the smallest value? (a) -1/12 (b) 2.3 (c) 5.75
a
Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -0.2 (d) -2/7 (e) -3 (f) -0.0662
c
What is the second smallest value in 4, 2/3, 0.5, 139.92, 0.4?
0.5
What is the smallest value in 23/135, -3, -0.1?
-3
What is the fourth smallest value in 0.1, 165/83, -5, -0.4, -2/11?
0.1
Which is the biggest value? (a) 49 (b) 986/3 (c) 54
b
Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -25/4 (d) -15 (e) -5
a
What is the fourth smallest value in -5, -0.5, 981, -3, -6?
-0.5
What is the sixth biggest value in -0.2, 2.8, -0.16, 0, 2, 0.09?
-0.2
Which is the smallest value? (a) -2/9 (b) -13 (c) 7/2 (d) 1 (e) 0.4 (f) 5
b
What is the third biggest value in -4/3, -0.05, -2, 0.07, -1, -0.02?
-0.05
What is the smallest value in -36/409, 1/3, -3, 1?
-3
What is the third smallest value in -5, 0, -2/11, 0.03, 2/11, 9?
0
Which is the fifth smallest value? (a) 0.7 (b) -0.03 (c) 3 (d) -1/4 (e) 3005
e
What is the third smallest value in 641, -5, -0.1, 1, 3?
1
Which is the third smallest value? (a) -394/5 (b) -2/11 (c) -52
b
What is the fifth sm | {
"pile_set_name": "DM Mathematics"
} |
1 l and 1 w?
1/10
Two letters picked without replacement from zjddnjzzjzw. What is prob of picking 2 d?
1/55
Three letters picked without replacement from {x: 1, i: 3}. What is prob of picking 3 i?
1/4
What is prob of picking 1 k and 1 d when two letters picked without replacement from kmdkese?
2/21
Two letters picked without replacement from {h: 2, p: 5, t: 2, i: 1, g: 2, c: 1}. Give prob of picking 1 g and 1 h.
2/39
Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 4, t: 3, g: 3, d: 1, v: 2, l: 3}.
1/10
What is prob of picking 1 l, 1 s, and 1 r when three letters picked without replacement from sswrwlrlswvwwsw?
16/455
Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {w: 1, v: 6, g: 2, h: 3, e: 2}.
9/182
Two letters picked without replacement from ffnfnfff. What is prob of picking 2 f?
15/28
Four letters picked without replacement from apkkukukhhtaktpkh. What is prob of picking 1 a, 1 h, 1 p, and 1 u?
6/595
Four letters picked without replacement from brciijb. Give prob of picking 1 c, 1 b, 1 r, and 1 i.
4/35
Calculate prob of picking 1 b, 1 d, and 1 f when three letters picked without replacement from {f: 1, w: 2, d: 3, o: 3, k: 2, b: 1}.
3/220
Calculate prob of picking 1 y, 1 u, and 1 x when three letters picked without replacement from {y: 5, p: 1, b: 6, u: 3, x: 5}.
5/76
Two letters picked without replacement from eebbbeeeeebbbeeb. Give prob of picking 2 e.
3/10
Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {e: 5, y: 7, q: 4}.
7/30
Three letters picked without replacement from lllllxlllxlll. What is prob of picking 3 l?
15/26
What is prob of picking 1 u and 1 l when two letters picked without replacement from tluufsfutkkulu?
10/91
Two letters picked without replacement from {x: 1, d: 5, m: 2, s: 2, h: 5, o: 2}. What is prob of picking 2 m?
1/136
Calculate prob of picking 1 o and 1 p when two letters picked without replacement from dpoxxd.
1/15
Two letters picked without replacement from cqcq. What is prob of picking 1 c and 1 q?
2/3
Three letters picked without replacement from mmvjgcm. Give prob of picking 1 v and 2 m.
3/35
Calculate prob of picking 2 t when two letters picked without replacement from irtitttrit.
2/9
Calculate prob of picking 3 u when three letters picked without replacement from {h: 3, u: 9}.
21/55
Four letters picked without replacement from idiiicgyyg. Give prob of picking 1 i, 1 y, 1 c, and 1 d.
4/105
Calculate prob of picking 2 w when two letters picked without replacement from dwlldddldwldl.
1/78
Calculate prob of picking 1 m, 1 w, and 2 r when four letters picked without replacement from rrrprookkpowrrmrko.
7/1020
What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 6, o: 2, f: 2, l: 1, x: 3}?
12/91
Three letters picked without replacement from ixccxxgcxc. Give prob of picking 1 c, 1 i, and 1 x.
2/15
What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 2, f: 5, d: 7}?
2/13
Calculate prob of picking 3 f when three letters picked without replacement from yefowffeyyuff.
5/143
Two letters picked without replacement from usvsvuvusuv. What is prob of picking 1 s and 1 u?
12/55
Three letters picked without replacement from vuiuiv. Give prob of picking 1 u and 2 v.
1/10
What is prob of picking 3 k and 1 u when four letters picked without replacement from kuzukukuzc?
2/105
Two letters picked without replacement from crhtrhuhht. Give prob of picking 1 r and 1 t.
4/45
Calculate prob of picking 2 c when two letters picked without replacement from mmccmmmcmcm.
6/55
Three letters picked without replacement from fewffewfffffffe. Give prob of picking 1 f and 2 e.
6/91
Two letters picked without replacement from mimm. Give prob of picking 2 m.
1/2
Two letters picked without replacement from {d: 8, q: 5}. What is prob of picking 1 d and 1 q?
20/39
What is prob of picking 1 t, 1 j, and 1 f when three letters picked without replacement from {j: 2, t: 1, f: 1}?
1/2
Two letters picked without replacement from {y: 3, m: 1, a: 3}. Give prob of picking 1 m and 1 a.
1/7
Two letters picked without replacement from {a: 2, t: 6, g: 4, u: 3}. What is prob of picking 2 a?
1/105
Calculate prob of picking 4 u when four letters picked without replacement from {s: 13, u: 6}.
5/1292
Calculate prob of picking 3 x and 1 z when four letters picked without replacement from zxxxxxxxnxzxxnnxxxz.
143/646
What is prob of picking 2 c when two letters picked without replacement from {e: 2, c: 6}?
15/28
Two letters picked without replacement from qssssqss. Give prob of picking 1 s and 1 q.
3/7
Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {h: 3, o: 1}.
3/4
Two letters picked without replacement from pjykunk. Give prob of picking 1 j and 1 y.
1/21
What is prob of picking 1 w and 1 a when two letters picked without replacement from {t: 1, e: 1, w: 2, a: 3, v: 3, h: 2}?
1/11
Three letters picked without replacement from zchcczcczhzhczhzhzcc. What is prob of picking 3 z?
7/228
Three letters picked without replacement from egggeggfefpeg. What is prob of picking 3 g?
10/143
What is prob of picking 3 d and 1 p when four letters picked without replacement from wdwwpwwwdppdp?
4/715
What is prob of picking 1 w and 2 v when three letters picked without replacement from {w: 4, v: 3}?
12/35
Two letters picked without replacement from kkkkhhkk. What is prob of picking 1 k and 1 h?
3/7
Three letters picked without replacement from {i: 1, s: 4, t: 1, a: 2, d: 6, j: 1}. What is prob of picking 2 s and 1 j?
6/455
What is prob of picking 2 o when two letters picked without replacement from {v: 1, n: 2, w: 3, y: 6, o: 2}?
1/91
Calculate prob of picking 1 j and 2 w when three letters picked without replacement from ywjywrwzrw.
1/20
Calculate prob of picking 2 q when two letters picked without replacement from {j: 1, q: 4, o: 2}.
2/7
Three letters picked without replacement from xhxhxxxhxxxxhxhxxxx. Give prob of picking 1 h and 2 x.
455/969
What is prob of picking 1 x, 1 e, and 1 p when three letters picked without replacement from eoxxffp?
2/35
Calculate prob of picking 3 v when three letters picked without replacement from vvvvv.
1
Two letters picked without replacement from {b: 2, g: 5, c: 3, d: 3, a: 3}. Give prob of picking 1 g and 1 c.
1/8
What is prob of picking 2 m when two letters picked without replacement from mrmciimmmmmmc?
14/39
Two letters picked without replacement from {y: 1, p: 1, z: 1, h: 1, a: 2, i: 2}. What is prob of picking 2 a?
1/28
Calculate prob of picking 1 g and 1 f when two letters picked without replacement from ggff.
2/3
Two letters picked without replacement from {r: 1, z: 5, v: 2, a: 2, d: 8}. Give prob of picking 1 z and 1 a.
10/153
What is prob of picking 3 m and 1 s when four letters picked without replacement from {m: 13, s: 6}?
143/323
Three letters picked without replacement from xppggx. What is prob of picking 2 g and 1 x?
1/10
Two letters picked without replacement from {i: 4, o: 3, d: 1}. Give prob of picking 1 d and 1 i.
1/7
Calculate prob of picking 2 x and 2 l when four letters picked without replacement from xxlxxlxxxxx.
6/55
Three letters picked without replacement from mmxxmxxxxxmxmmxxxxm. What is prob of picking 1 x and 2 m?
84/323
Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {y: 4, w: 3, o: 1}.
0
Two letters picked without replacement from ogoyogygygogg. Give prob of picking 1 g and 1 o.
4/13
Two letters picked without replacement from {e: 2, m: 1}. What is prob of picking 2 e?
1/3
What is prob of picking 1 u, 1 n, and 1 q when three letters picked without replacement from ncmuumuununccucq?
9/280
Calculate prob of picking 2 w when two letters picked without replacement from fkjalww.
1/21
Three letters picked without replacement from jeygt. Give prob of picking 1 y, 1 j, and 1 g.
1/10
Calculate prob of picking 2 v when two letters picked without replacement from {t: 8, a: 2, v: 4}.
6/91
What is prob of picking 1 w, 1 a, and 1 g when three letters picked without replacement from {w: 1, g: 3, y: 4, f: 4, c: 2, a: 3}?
9/680
What is prob of picking 1 p and 1 | {
"pile_set_name": "DM Mathematics"
} |
- 6238/892) and -107/40.
8920
Suppose -2*a = 2*o - 84, 4*a + o - 176 = 5*o. Let i(m) = -m + 13. What is the lowest common multiple of i(9) and a?
172
Suppose -111*j + 91*j = -8040. Calculate the least common multiple of 24 and j.
1608
Calculate the common denominator of (505/(-90))/(31/6*-4) and 41/6.
372
Let v be (386/520)/((-8)/(-20)). Let a = v + -3/13. Let y = 76/9 - 127/9. Calculate the common denominator of y and a.
24
What is the common denominator of (-6)/16*295*(-7)/(-105) and -7/4?
8
Let x(r) = -9*r - 2. Let t(z) = -z + 9. Let v be 1/((3/(-1))/(-30)). Let b be t(v). What is the smallest common multiple of x(b) and 1?
7
Suppose -4*z + 4*o - 172 = 0, z - 5*o = -0*o - 35. Calculate the common denominator of -2 - (1 - (-186)/z) and -7/24.
120
Let a = -23193/10 - -2323. Calculate the common denominator of -43/40 and a.
40
Let k = 79/74 + -1631/3330. Calculate the common denominator of 41/99 and k.
495
Suppose 8*z - 25 = 71. What is the smallest common multiple of z and 1?
12
Let k be 1/2 - 1094/(-4). What is the common denominator of k/77 - (-4)/(-14) and (-675)/525*(1 - 0)?
77
Let h = -186 - -330. Calculate the lowest common multiple of h and 528.
1584
Let y = 2451 - 122563/50. Find the common denominator of y and 73/660.
3300
Let a = 39077006855/1092 + -35784802. Let m = -7/156 - a. Let d = 12759/524 + -13/131. What is the common denominator of m and d?
28
Suppose 2*t + 4*j - 856 = 0, -1324 = -3*t + 5*j - j. What is the lowest common multiple of t and 22?
4796
Let h = -103416 - -11168797/108. What is the common denominator of h and 3/14?
756
Suppose 97*c = 83*c + 140. Let v = 13 - 9. Calculate the smallest common multiple of c and v.
20
Let c(x) = -3*x - 4. Let s be c(-3). Suppose -3*y = -0*y - 21. Suppose -3*f - y - s = -3*q, -6 = -q - f. Calculate the lowest common multiple of 3 and q.
15
Let v = -593991/3586 + -6897/163. Let u = -2248/11 - v. What is the common denominator of (-12)/34 - (-1134678)/210188 and u?
22
Let l = 1039680373/28746 - -82/14373. Let i = l + -30436. Let r = 5745 - i. Calculate the common denominator of 49/6 and r.
6
Let t = 748 + -23191/31. Calculate the common denominator of 103/6 and t.
186
Let t be (4946/24 - 0)*(-15)/(-233). Let a = t - 4/233. What is the common denominator of a and 58/3?
12
Suppose -3*p - 2*b + 91 = 0, -3*p + 2*b = -4 - 67. Calculate the lowest common multiple of 57 and p.
513
Suppose 0 = 4*s - 7 - 9. Suppose 9*v = s*v - 130. Let p = -20443/1446 + -7/241. Find the common denominator of p and v.
6
Let g = 699 - 2833/4. What is the common denominator of g and 356/(-8)*((-204)/(-202) - 1)?
404
Suppose 2*l + 6*l = 600. Calculate the common denominator of 3/4 and 5/(l/(-21))*45/(-2).
4
Let g = 63/265 - -8387/57240. What is the common denominator of 69/8 and g?
216
Find the common denominator of 111/80 and 428/30*(-4 - (-52)/16).
80
Let k = -2071 + 101499/49. Calculate the common denominator of k and 17/42.
294
Let y = 562 - 553. What is the least common multiple of 21 and y?
63
Calculate the common denominator of 17/(-20)*-7 + (-69)/345 and (98/10)/((-60)/(-25)).
12
Suppose -2*n = -2*j + 28, 3*j + 9*n - 26 = 4*n. What is the least common multiple of j and 94?
564
Suppose p + x - 43 = 0, -2*p = p + 2*x - 126. Calculate the smallest common multiple of p and 20.
40
Find the common denominator of -71/51 and (7/105)/((-284)/260 + 1).
306
Let j = -14 - -16. Let s(m) be the first derivative of m**2/2 + 22*m + 3. What is the least common multiple of s(-11) and j?
22
Let j = -1367/10 - -43509/320. Calculate the common denominator of 17/10 and j.
320
Suppose 5*x + 15 = 5*k, x = -0*k - k + 13. Find the common denominator of -20/9 and (k/50)/((-32)/240).
45
Let r = -4 + 18. Let f = 33 - -3. Calculate the lowest common multiple of r and f.
252
Let f(a) = -2*a**2 - 15*a - 6. Let z be f(-7). Calculate the smallest common multiple of (0 - z)*(-15 - 0) and 7.
105
Let r = -489 - -1033. Calculate the least common multiple of r and 36.
4896
Let l = -445/4 - -108. Let c = 77/4 - l. Find the common denominator of c and (((-224)/(-2))/(-2))/(-9).
18
Let z = 186/17 + -1811/136. Find the common denominator of z and -93/656.
656
Calculate the least common multiple of 66 and ((-415)/(-85) - (-2)/17) + 31.
396
Suppose 3*f + 13290 = f. Let v = f - -79889/12. Find the common denominator of v and ((36/(-32)*2)/(3/(-36)))/(-16).
48
Suppose -4*o - 5*i + 63 = -0*i, -21 = -o + 4*i. Calculate the least common multiple of o and 10.
170
What is the common denominator of -109/24 and 38272/(-49140) - 4/(-7)?
1080
Let v = 1744489253301133/9622901 - 181285171. Let r = 7279407048039/423407644 + v. Let d = r + -17190. What is the common denominator of -137/6 and d?
132
Let w be ((-7776)/(-52))/3 - (-6)/39. Suppose 0*z - 5*z + w = 0. Calculate the least common multiple of 6 and z.
30
Suppose -6*u = -u - 11505. Let h = u - 1529. Let x = -4645/6 + h. Find the common denominator of x and -28/11.
66
Let u(b) = -b**3 + 11*b**2 - 28*b + 9. Let w be u(7). Suppose 2*i - w*i + 49 = 0. Calculate the lowest common multiple of 105 and i.
105
Suppose 4*g - 7 = -43. Let l be ((-28)/(-17))/(g/(-54)). Let h = l + -1291/153. Calculate the common denominator of h and 5/2.
18
Let g = 13501017021/4841330 + -5/484133. Let b = -2784 + g. Calculate the common denominator of -22/5 and b.
10
Suppose 3*s + 21 = 5*w + 306, 0 = -2*w - 2*s - 114. Let a = -51 - w. What is the least common multiple of a and 9?
18
Calculate the common denominator of -5 + 217/21 + -4 and 79/18.
18
Let n = -20177/7777 + 5/1414. What is the common denominator of 37/2 and n?
22
Let z(i) = -i**2 + 10*i - 7. Let y be z(7). Suppose -3*u + 4 + y = 0. What is the smallest common multiple of 6 and u?
6
Suppose -h - 4*v = 244, 4*v - 452 = 2*h - 0*v. Let s = 1845/8 + h. Find the common denominator of 7/25 and s.
200
Let z(c) = -c**3 - 6*c**2 - 11*c - 7. Let g be z(-4). Suppose g*u - 159 + 39 = 0. Calculate the smallest common multiple of 12 and u.
24
Let a = -10163/121 + 923/11. Calculate the common denominator of 57/44 and a.
484
Calculate the common denominator of 235/(-80) - 33/(-11) and 69/16.
16
Suppose 15 = -j - 4*j. Calculate the common denominator of (54/(-8))/((-5 + 4)*-2) and j*(-2)/(132/34).
88
Calculate the common denominator of (-2)/((-11)/(748/48)) and -87/272.
816
Find the common denominator of 11/48 and (((-9849)/266)/21)/(-2).
912
Let d = -41281/7032 - 4/879. Let j = -7941/4 + 1961. What is the common denominator of j and d?
8
Suppose 123 = 3*l - 3*o, 5*l - o - 209 = -0*l. Let k = l + -30. Find the common denominator of 107/14 and (5/(-25))/(k/(-385)).
84
What is the common denominator of (686/189 + 1)*18/(-48) and 113/56?
504
Let n = 7 + -1. Suppose -12*a + 14*a = n. Calculate the lowest common multiple of 1 and a.
3
Suppose 2*r - 6*w = -2*w + 32, 3*r + 3*w = 12. Calculate the smallest common multiple of 57 and r.
456
Let j = -372551/20 - -18622. Find the common denominator of j and (-41)/(166460/(-9657)) - (-6)/20.
140
Let q(u) be the third derivative of u**4/12 + 15*u**3/2 - 51*u**2. Calculate the least common multiple of q(0) and 30.
90
Suppose 198*g = 1169 + 7345. Calculate the least common multiple of g and 0/1 - -7*1.
301
Suppose -2*x = 439 + 81. What is the common denominator of (-1)/(-7) - (-474)/112 and -2 - (-2 + x/56)?
56
Calculate the common denominator of (-19)/(399/6) + (-954)/(-56) and 58/15*9/(-12).
20
What is the common denominator of -4*(24/(-18) - 61/(-54)) and 11/33 - 34/(-18)?
27
Let p(i) = -i**3 + 6*i**2 + 8*i - 4. Let s be p(7). Suppose -y - 2*y + s*h = -33, -2*y = -h - 17. Calculate the common denominator of 53/16 and (-15)/y*32/14.
112
Let b(u) = 4*u - 25. Suppose -3*j + 18 = 2*w - 10, 4 = 2*w. Calculate the lowest common multiple of 5 and b(j).
35
Suppose 0 = c + 5*l - 180 - 599, 4*l = -5*c + 3790. What is the smallest common multiple of 11 and c?
8294
Let c = -69372229/306 + 226707. Find the common denominator of c and 57/4.
612
Suppose 4*c = -4*i + 102 + 14, -4*c = 3*i - 113. Suppose 5*a - 3*a - 28 = 4*p, 0 = -5*a - p + c. Calculate the lowest common multiple of 4 and a.
12
Let m(k) = -2*k**2 + 25*k + 10. Calculate the least common multiple of 82 and m(12).
902
Let z be 4 - (-4)/((2 + -6)/(-2)). Suppose w - z*w + 4*y + 110 = 0, w = -4*y - 2. Calcul | {
"pile_set_name": "DM Mathematics"
} |
+ f**4/4 + 5*f**3/6 - 3*f**2. Let r be g(-5). Suppose r = -m + 4*s + 5, -2*s + 5 = m - s. Is 2 a factor of m?
False
Is (3/5)/((-12)/(-60)) a multiple of 2?
False
Let i(h) = 18*h**2 - 2*h - 4. Does 14 divide i(-2)?
False
Suppose -5*g + 60 = 3*h, -9 = 4*g + 3*h - 57. Is g a multiple of 3?
True
Suppose -2*k + l = 2*k - 832, 2*k = 3*l + 426. Is k a multiple of 23?
True
Let u(o) = 6*o**2 - 2*o + 1. Suppose 0 = -k + 3*k + 4. Is 10 a factor of u(k)?
False
Suppose -4*m = -20 + 4. Suppose m*p - 55 = 3*a - 8, -p = 2*a + 2. Is p a multiple of 8?
True
Suppose -4*k + 5*k = -2*i + 47, -88 = -2*k + 2*i. Does 22 divide k?
False
Let b = 41 - 21. Is b a multiple of 6?
False
Suppose 0*a + 3 = a. Suppose -2*c - 25 = a*c. Let n = 27 + c. Is 11 a factor of n?
True
Let r = 452 - 270. Is r a multiple of 14?
True
Let u be 2/((-6)/(-9)) + 0. Does 20 divide -1*u/(-3) - -29?
False
Let u = 89 + -62. Is 6 a factor of u?
False
Let q(n) = 18*n - 1. Let w be q(-5). Let i = -28 - w. Is i a multiple of 21?
True
Let y = 93 + -52. Let a = 59 - y. Suppose 3*g = g + a. Does 9 divide g?
True
Let n = 5 + -5. Suppose 4*a - 104 = -n*a. Is 9 a factor of a?
False
Suppose 29*q + 49 = 30*q. Is q a multiple of 49?
True
Suppose -12 = -u - 5*y, -2*y + 0*y + 2 = -u. Suppose 15 = -u*n + 5*n, 4*k = -3*n + 315. Is k a multiple of 15?
True
Let f be 4 + (1 + 0 - 2). Suppose p + f*l + 12 = 0, p + l + 2 = -0*l. Suppose p*h = 7*h - 36. Does 5 divide h?
False
Suppose -121 = -5*d - 3*z, -2*z + 6*z + 90 = 3*d. Let b = d + -16. Is 5 a factor of b?
True
Let q = 25 + -9. Suppose -q = -4*v, 4*v = -2*l + 2*v + 16. Is l a multiple of 2?
True
Let j(y) be the second derivative of -y**4/12 - 3*y**3/2 - 4*y**2 + 2*y. Does 6 divide j(-7)?
True
Let w = 26 - 20. Is 9 a factor of (-1 + w/9)*-27?
True
Suppose 0 = l + 28 - 84. Is l a multiple of 28?
True
Suppose 0 = -5*y + 3*b - 9 + 94, 2*y - 8 = -4*b. Let x be 32/y + (-8)/28. Is 1 + (x - 1) + 2 a multiple of 4?
True
Let f(x) be the second derivative of -x**8/6720 - x**7/1260 + x**6/240 + x**5/30 - x**4/4 + x. Let j(r) be the third derivative of f(r). Is 9 a factor of j(-4)?
False
Let b be (4 - 7)*(-4)/6. Let h(y) = b + 3 - y + 5. Is h(0) a multiple of 5?
True
Let k(w) = -w**2 + 6*w - 3. Let q be k(5). Suppose 0*p + 2*u = p - 83, q*u = -3*p + 257. Is 18 a factor of p?
False
Let x(j) = -9*j - 1. Let v be x(-1). Let m be (1 - 1)/(v/(-4)). Suppose m = -3*n + 67 - 10. Is 5 a factor of n?
False
Let x(w) be the second derivative of w**5/20 - w**4 + 5*w**3/3 + 8*w**2 - 6*w. Is x(11) a multiple of 5?
True
Is (224/21)/(6/9) a multiple of 6?
False
Suppose -8*r = -3*r + 5. Let y(c) = c**2 - 2*c + 1. Let z be y(-2). Does 9 divide (-2 - r) + (z - -1)?
True
Let z(g) = 0*g + 7*g + 2 - 1. Does 18 divide z(5)?
True
Let k = -29 + 42. Does 3 divide k?
False
Let b be (-2)/(-4) + 94/4. Let s = 71 + 13. Does 12 divide b/(-7)*s/(-8)?
True
Suppose 3*y - 3*p = 0, p - 25 = -3*y - 9. Is 3 a factor of y?
False
Suppose 9*k + 519 = 2085. Is 6 a factor of k?
True
Let y(f) = -f + 10. Let h be y(7). Suppose 2*z + 25 = -h*z, 2*b - 5*z = -9. Let n = b - -42. Is n a multiple of 9?
False
Suppose 3*f + 6 + 9 = 0, -2*f = -3*d + 82. Is 9 a factor of 49/4 - 6/d?
False
Let q(h) = h**3 + 2*h**2 - 3*h + 2. Let p be q(-3). Let u = 16 - p. Is u a multiple of 4?
False
Let j = -5 - -4. Let r(u) = 4*u**2 - u. Let v be r(j). Suppose -v*p + 109 = -p + 3*m, 4*m + 32 = p. Does 14 divide p?
True
Suppose -2*w - 3 = -4*z - 7, w + 3*z + 13 = 0. Let l(s) = -s**3 - 2*s**2 + 5*s - 2. Is 5 a factor of l(w)?
True
Suppose -13*f = -7*f - 1104. Does 23 divide f?
True
Let j(v) be the second derivative of -2*v**3 + 3*v**2/2 - 3*v. Is 27 a factor of j(-2)?
True
Suppose 5*i - 5 = 10. Suppose -i*d + 36 = f, 4*d = 2*f + 3*f - 142. Is 21 a factor of f?
False
Suppose -3*t = 3*t - 198. Does 16 divide t?
False
Let g(u) be the third derivative of u**5/30 - u**4/8 - u**3 + 3*u**2. Does 12 divide g(6)?
True
Let m = 4 + 0. Suppose m*z - 21 = z. Is 7 a factor of z?
True
Suppose -3*f - 3 = -n + 4*n, -n - 11 = 3*f. Suppose -n*h + 96 = -44. Does 7 divide h?
True
Suppose -14*f + 1092 = -8*f. Does 14 divide f?
True
Let y(d) = -31*d**3 - 2*d**2 + 1. Let g = 10 - 11. Is y(g) a multiple of 15?
True
Suppose 0 = q - 0*q - 6. Suppose -5*k - 38 = -148. Is 11 a factor of (k/4)/(3/q)?
True
Suppose -5*z = 2*o - 2, 2*o + 19 = 4*z + 3. Suppose -z*u + 0*u = -24. Suppose -w + 4 + u = 0. Does 8 divide w?
True
Let h be 3/(-15) + 11/5. Suppose h*s - 3*s = -16. Does 13 divide s?
False
Let c = 14 - 9. Suppose -5*b - 5*s = -145, 0 - 5 = -c*s. Is 20 a factor of b?
False
Let r = -1 + 1. Suppose 0 = -2*k - r*k + 14. Let f(b) = b + 1. Does 3 divide f(k)?
False
Let f be (-3)/(2 + 1) - -1. Suppose f = 5*t - 3*t. Suppose 9 = z - t*z - o, 3*o = -3*z + 39. Is 7 a factor of z?
False
Suppose 2*i + 1 = 5. Is (i - 5) + 1 + 10 a multiple of 8?
True
Suppose -4*d = 0, -2*d = 2*u + 3*d - 54. Does 6 divide u?
False
Suppose -w = 4*y - 217, -3*w = -0*w + 9. Is 11 a factor of y?
True
Let y be 58/(-6) - 2/(-3). Let a = -8 - y. Let l(v) = 18*v**3 + v - 1. Does 18 divide l(a)?
True
Let r = -4 + 5. Let a(u) = 3*u. Let o be a(r). Suppose 104 = o*d + d. Does 13 divide d?
True
Is (499/12 + 2/(-8))*3 a multiple of 31?
True
Suppose -237 = -5*b - 3*j, j + 0*j = -1. Does 11 divide b?
False
Is 3/(-12) - (-1940)/16 a multiple of 31?
False
Let d = 24 - -8. Let g = d + -13. Is 19 a factor of g?
True
Let x(b) = b**3 - 5*b**2 - 5*b - 2. Let k be x(6). Let i be (-95)/(-3) - 2/(-6). Suppose k*u = -3*o + i, 0 = 3*u - 6 - 0. Does 4 divide o?
True
Let g(z) = z**3 - z**2 + z + 5. Let s(d) = -d**3 - d**2 + 2*d. Let j be s(-2). Let l be g(j). Suppose -l*u + 36 = -2*u. Does 12 divide u?
True
Let d = 176 + -128. Does 8 divide d?
True
Suppose 59 = p + 17. Suppose 3*l + 2*w = 128, -4*l + 204 = -5*w + w. Suppose -4*b = 3*i - 5*b - l, -2*i - 5*b = -p. Is 16 a factor of i?
True
Let z(d) be the third derivative of -d**5/60 + 5*d**4/24 + 3*d**3/2 + d**2. Let x be z(7). Does 3 divide (14/4)/(x/(-10))?
False
Suppose 4*j = j - 3*h + 144, -2*j = -3*h - 76. Is j a multiple of 11?
True
Let t = 20 - 18. Suppose 0 = 3*o + 5*c - 95 - 17, t*c - 126 = -4*o. Is o a multiple of 13?
False
Suppose -5*z + 0*q + 20 = -q, 4*z = -3*q + 16. Let m be 18/4*(z + 0). Suppose -5*w = 5*t - 5, -2*t = -3*w - 45 + m. Is t a multiple of 6?
True
Let c = -116 + 166. Does 10 divide c?
True
Suppose 2*v = -3*d + 87 + 15, -4*v = d - 194. Suppose -6*b + 2*b = -v. Is b a multiple of 6?
True
Let l(z) = 2*z + 2. Let y(m) = -8*m**2 + 2 - 2 - 3*m - m**3 - 5*m. Let a be y(-7). Is l(a) a multiple of 8?
True
Let y = 12 - 8. Is 4 a factor of y*(2 + -3 + 3)?
True
Suppose 3*w - 2*n = -6*n - 4, 0 = 2*w - 4*n + 16. Is 15 a factor of 680/28 - w/(-14)?
False
Let z(m) = 7*m - 27. Is 13 a factor of z(15)?
True
Suppose -4*n = -10 - 14. Is n a multiple of 6?
True
Let x(v) = 4*v**2 - 3*v + 7. Let k be x(-6). Let o = k + -115. Does 11 divide o?
False
Suppose 2*o + 2*o - 2*s - 38 = 0, 3*s + 21 = 3*o. Suppose -2*d - 4*q - o = -124, -4*d + 214 = -2*q. Is d/8 - (-1)/4 a multiple of 7?
True
Let g = 89 - 55. Let w(d) = -d**3 + 5*d**2 + 3*d. Let i be w(6). Let p = g + i. Does 7 divide p?
False
Let f be 1/2 - 27/(-6). Suppose f*j - 5 = 0, -8 - 55 = -4*d + j. Does 13 divide (-4)/d + (-210)/(-8)?
True
Let b(y) = 9*y**2 - 6*y - 8. Is 25 a factor of b(-4)?
False
Suppose -5*o + o + 16 = 0. Suppose 0 = -3*a - 3*i + 18, 31 = 5*a - 0*a + o*i. Is a a multiple of 3?
False
Suppose 4*l + 0*l + 16 = 0. Is 2 + l - -4 - -11 a multiple of 3?
False
Suppose 133 + 112 = i. Is 49 a factor of i?
True
Suppose -5*c = -10*c - 240. Let w = 87 + c. Is w a multiple of 13?
True
Suppose 0 = -0*h + 2*h - 3*i - 404, -3*h + 605 = -5*i. Suppose 11 + h = 4*f. Let m = f + -31. Is 8 a factor of m?
False
Let i = 5 + -2. Suppose -i = s, 3*s = 4*g - s - 32. Suppose g*j - 130 = -4*o, 0 = 2*o + 4*j - 44 - 24. Does 15 divide o?
True
Let r(q) = 2*q**2 + 10*q + 2. Suppose 4*a - 5*d + 13 = 0, -5*d - 31 = 3*a + 5. Does 13 divide r(a)?
False
Let x = -18 + 78. Suppose -4*t + x = -0*t. Is t a multiple of 4?
False
Suppose 0 = -d - 4*d + 4*p + 158, -99 = -3*d + p. Suppose s - 2*b - d = 0, 0*s + 3*s - 5*b = 103. Does 18 divide s?
True
Suppose 5*d - 48 = 2*g, -5*d + 28 = -2*g + 5*g. Let l be (18/d)/(6/16). Suppose -2*q - 20 = -l*q. Is q | {
"pile_set_name": "DM Mathematics"
} |
?
2
Suppose -20*y = -19*y - 73. What is the remainder when y is divided by 25?
23
Suppose 0 = -5*t + 32 + 23. What is the remainder when 76 is divided by t?
10
Let r(x) = 3*x**2 - 5*x + 4. What is the remainder when r(2) is divided by 4?
2
Let q(u) = -21*u - 2. Let v(h) = h - 1. Let x be v(-1). What is the remainder when q(x) is divided by 2/8 - (-110)/8?
12
Let c = 133 + -58. Let z(b) = b**3 + b**2 - b - 47. Let u be z(0). Let t = u + c. Calculate the remainder when t is divided by 10.
8
Suppose 3 = 2*g - 5, -5*g - 43 = -3*u. What is the remainder when 52 is divided by u?
10
Let k(n) = -14*n - 1. Suppose -3*z + 51 = -33. Suppose 0 = -4*i + 2*i + z. What is the remainder when k(-3) is divided by i?
13
Suppose 0*n = -3*n + 4*q + 8, -q - 4 = -n. What is the remainder when 61 is divided by -32*-2*2/n?
13
Let k = -59 - -89. What is the remainder when k is divided by (-34)/(-4) + 15/6 + -3?
6
Let b(q) be the third derivative of -q**4/8 + 7*q**3/6 - q**2. What is the remainder when b(-8) is divided by 8?
7
Let u be 0 + 4 - 6/3. Suppose u*r - 115 = -3*r. Suppose -5*a = -6*m + 3*m + 145, 5*m + a - 223 = 0. What is the remainder when m is divided by r?
22
Let g = -29 - -32. Calculate the remainder when g is divided by 3.
0
Suppose -5 = 4*i - 1. Suppose -3*m + 69 = 3*o, m = -3*o - 0*m + 75. What is the remainder when o is divided by ((-9)/(-2))/(i/(-2))?
8
Let y(i) = 3 - i + 0*i - 2. Suppose -1 - 15 = 2*l. Calculate the remainder when y(l) is divided by 4.
1
Let r be 2/(-1) + 0 - -1. What is the remainder when (2 - 9)/(5/(-25)) is divided by (-1)/(r/9) - 0?
8
Let j(o) = 1 + 3*o**2 + 2*o**2 + 1 - o. Let v be j(2). What is the remainder when (3 - 5)*v/(-2) is divided by 11?
9
Suppose -18 = -5*g + 117. Calculate the remainder when 53 is divided by g.
26
Let w = -5 - -23. What is the remainder when 70 is divided by w?
16
Let g = 5 + -1. Let x(h) = 11*h**2 - 3*h + 5*h + h**3 - 5*h**2. What is the remainder when x(-5) is divided by g?
3
Suppose 0 = -2*d - h - 1, -2*d + 0*d + 2*h - 16 = 0. Let x(w) = -2*w - 3. What is the remainder when 7 is divided by x(d)?
1
Suppose 4*r + r = 115. Suppose -u + 10 + 12 = 4*d, 3*d = -3*u + 12. Calculate the remainder when r is divided by d.
5
Let b = 47 - 14. Let g(r) = r**3 + 6*r**2 + 2*r - 1. Let x be g(-6). Let k = 22 + x. Calculate the remainder when b is divided by k.
6
Let t(p) = -p + 9. Let u be t(8). Let z(y) be the first derivative of 2*y**2 + y + 3. Calculate the remainder when 13 is divided by z(u).
3
Let d = 26 - 22. Suppose -5 = -l - 2. Suppose 2*z = 3*z - l. Calculate the remainder when d is divided by z.
1
Suppose -2*i - 44 = -122. What is the remainder when i is divided by 10?
9
Calculate the remainder when (2/(4/(-19)))/((-1)/2) is divided by 8.
3
Let a = 78 - 62. Calculate the remainder when 24 is divided by a.
8
Suppose q + 2*g = 13, -14 = 3*g - 2. Suppose -4*v + 8*v = -i + 4, -i + 11 = -3*v. What is the remainder when q is divided by i?
5
Let t be ((-1)/(-3) - 0)*60. What is the remainder when 23 is divided by (3 - 1)/(t/90)?
5
Let y(w) = w**2 + 6*w + 6. Calculate the remainder when 16 is divided by y(-6).
4
Suppose 20 = 2*s - 0*s. Let m(c) = -c**2 + 5*c + 8. Let t be m(6). Suppose -2*q = -3*a - 27, t + 13 = 5*a. What is the remainder when q is divided by s?
8
Let w be (0/2)/((-3)/(-3)). Let s(a) = a**2 + 3. Calculate the remainder when 6 is divided by s(w).
0
Let n(z) = z - 3. Let r be ((-1)/(-3))/(2/30). What is the remainder when 5 is divided by n(r)?
1
Let o(h) be the first derivative of -4*h**2 + 3. What is the remainder when o(-2) is divided by 9?
7
Let t = -171 + 175. What is the remainder when 51 is divided by t?
3
Let g(x) = -x**3 - 6*x**2 - 9*x - 2. Let z be g(-6). Suppose 83 = 5*y - z. Calculate the remainder when y is divided by (-1 - (-15 - 0)) + 0.
13
Let n(g) = -3*g - 3. What is the remainder when n(-13) is divided by 19?
17
Suppose 0 = 17*k - 14*k - 264. What is the remainder when k is divided by 18?
16
Suppose x + 6 = -0*x - 4*y, x + 2*y = 0. Suppose n - x*n = -3*d - 4, -2*d = n + 20. Let s(b) = -2*b - 3. Calculate the remainder when 38 is divided by s(d).
12
Suppose -o + 5 = 3. What is the remainder when 4 is divided by o?
0
Let z(k) = -k + 10. Calculate the remainder when 52 is divided by z(-8).
16
Suppose -16 = -s - 3*q, -s + q - 1 + 21 = 0. Suppose -f + 2*p + 4 = -2, -4*f + p + 38 = 0. What is the remainder when s is divided by f?
9
Let m(l) = -2*l + 3. Suppose r = 5*r - 32. What is the remainder when m(-5) is divided by r?
5
Suppose f + 9 = j, 5*j - f = -3*f + 80. Calculate the remainder when 39 is divided by j.
11
Let u = 12 + 22. Suppose -4*w + 185 = w. Suppose -5*g + 24 + w = s, -g + 5*s + 7 = 0. Calculate the remainder when u is divided by g.
10
Suppose -2*a + 12 = -a. Calculate the remainder when 21 is divided by a.
9
Suppose -2*t - 3*x - 33 = 0, -29 = 5*t - 4*x + 19. Suppose -5*g = -3*k + 12, -3*g - 4 = -0*k - k. Calculate the remainder when (-8)/t + 62/6 is divided by k.
3
Suppose 4*o = 5*b - 296, 3*o - o - 272 = -5*b. Suppose -2 = 3*f - b. Calculate the remainder when f is divided by 7.
4
Suppose 43 = 5*t - 32. What is the remainder when t is divided by 6?
3
Let x = 4 - 2. Suppose -4*d + 9 = d - 4*j, d - 5*j - 6 = 0. Let i = d + x. Calculate the remainder when 4 is divided by i.
1
Let o(m) = -m**3 - 3*m**2 + m + 4. Suppose -2*l - 3*r = -14, -16 - 8 = -2*l + 2*r. What is the remainder when l is divided by o(0)?
2
Let o be -1 - (-6*2 + 1). Let j = 55 + -54. What is the remainder when 19 is divided by o*j + 0 + -3?
5
Let k(t) = -3*t - 67. What is the remainder when 67 is divided by k(-27)?
11
Suppose 448 = -2*k - 2*k. Calculate the remainder when k/(-5) - 12/30 is divided by ((-12)/10)/(1/(-10)).
10
Calculate the remainder when 67 is divided by (-4)/(-8 + 4) - -16.
16
Suppose -4*a + 2*i = -14, 0 = -3*a - i + 3*i + 9. Suppose -3*r + a*q = -30 - 75, 3*r - 84 = -2*q. Calculate the remainder when r is divided by 11.
8
Suppose -4 = -4*b - 16. Let p = 30 - 13. What is the remainder when p is divided by ((-3)/(-5))/(b/(-45))?
8
Let m = -15 - -46. What is the remainder when 58 is divided by m?
27
Let k(i) = i**3 + 4*i**2 - 5*i + 3. Let b = 3 + 1. Suppose -j = j - b. Calculate the remainder when k(-5) is divided by j.
1
Suppose 2*c = -5*y + 46, -c + y = -3*y - 23. What is the remainder when 67 + (4/(-26) - (-55)/(-65)) is divided by c?
20
Let s = 13 - -9. Let n be (4/(-2))/((-4)/10). Let g(v) = -v**2 + 8*v - 3. What is the remainder when s is divided by g(n)?
10
Let c = -42 + 61. Let s(r) = 2*r**2 + 4*r + 4. What is the remainder when c is divided by s(-3)?
9
Suppose 2*o = 6*o. Let u be o - (-1)/3*0. Suppose -5*b + 28 + 87 = u. What is the remainder when b is divided by 12?
11
Let w(k) = 2*k - 4. Let m be w(3). Suppose -272 = -5*h - 3*n, 3*h - 2*n - 44 = m*h. What is the remainder when h is divided by 18?
16
Let g(x) = x**3 - 10*x**2 - 11*x + 16. Let z be g(11). Suppose 3*r + r = z. What is the remainder when r is divided by 3?
1
Let u = 912 + -807. Calculate the remainder when u is divided by (2 + -9)*72/(-14).
33
Let a = 23 - 16. Calculate the remainder when 13 is divided by a.
6
Suppose 5*z - 2*l = 79 + 127, -z - 3*l = -48. Let g = z + -27. What is the remainder when ((-3)/(-6))/(2/112) is divided by g?
13
Suppose -4*m - 4 = 5*g, -m - 5*g + 1 = -2*m. Calculate the remainder when 34 - m - (-2 + 3) is divided by 12.
10
Let t(f) = 25*f - 89. Let p(d) = -11*d - 3. What is the remainder when p(-4) is divided by t(4)?
8
Suppose 2*y = 4*l - 176, -20 = -l + y + 24. What is the remainder when l is divided by 24?
20
Let z = -30 - -46. Suppose -5*c + 11 = -149. Suppose 29 = o - c. What is the remainder when o is divided by z?
13
Suppose 0*i - 4*i + 184 = -t, 2*i = -5*t + 70. What is the remainder when i is divided by 6?
3
Let w(u) = 2*u - 1. Let m be w(6). Let c(o) = o**3 - 11*o**2 + 2*o - 16. Let q be c(m). What is the remainder when 3/2 + 69/q is divided by 7?
6
Let w = 52 + -22. Suppose -3 = -4*m + 61. Calculate the remainder when w is divided by m.
14
Let h = -7 - -26. Let s(q) = 2*q + 4*q**2 + 0 - q**3 + 0 - 2. Calculate the remainder when s(-3) is divided by h.
17
What is the remainder when (-244)/10*20/(-8) is divided by 16?
13
Let g(r) = 1 + 3*r - 7 + 0. Calculate the remainder when 1 | {
"pile_set_name": "DM Mathematics"
} |
+ 128189971569600 = 0.
-5, 17244
Solve 2*x**4/15 + 382*x**3/15 - 6542*x**2/15 + 16922*x/15 - 3588/5 = 0 for x.
-207, 1, 2, 13
Suppose w**2 - 920*w + 12684 = 0. What is w?
14, 906
Find t, given that -4*t**4 + 260*t**3 - 2744*t**2 + 1984*t + 4992 = 0.
-1, 2, 12, 52
Suppose 2*z**4 + 826*z**3 - 28480*z**2 = 0. What is z?
-445, 0, 32
Factor 3*d**3/4 + 75*d**2/2 - 2271*d/4 - 1209/2.
3*(d - 13)*(d + 1)*(d + 62)/4
Suppose -t**3/6 + 112*t**2/3 + 3571*t/6 + 1673/3 = 0. Calculate t.
-14, -1, 239
Let y**2/4 - 145655*y/4 = 0. What is y?
0, 145655
Factor -q**2 + 688*q - 12060.
-(q - 670)*(q - 18)
Find o, given that 4*o**2 - 764172*o + 764168 = 0.
1, 191042
Determine s so that 2*s**4/3 + 5420*s**3/3 + 1222208*s**2 - 2451648*s = 0.
-1356, 0, 2
Let 3*l**3 - 7041*l**2 + 3997968*l + 157715904 = 0. What is l?
-37, 1192
What is a in 2*a**3 - 110*a**2 - 38994*a - 115938 = 0?
-113, -3, 171
What is g in 31*g**4 + 233*g**3/4 - 201*g**2/2 + 45*g/4 = 0?
-3, 0, 15/124, 1
Suppose -2*t**5/11 - 48*t**4/11 - 8*t**3/11 + 852*t**2/11 - 566*t/11 - 1380/11 = 0. Calculate t.
-23, -5, -1, 2, 3
Factor -3*k**3 + 20541*k**2 - 35130225*k - 105575625.
-3*(k - 3425)**2*(k + 3)
Let 5*l**4 - 590*l**3 + 5025*l**2 - 13160*l + 8720 = 0. Calculate l.
1, 4, 109
Determine x so that -2*x**4/19 + 292*x**3/19 + 1826*x**2/19 - 292*x/19 - 96 = 0.
-6, -1, 1, 152
Determine y, given that 3*y**4 + 153*y**3 - 115686*y**2 + 6971916*y + 7087752 = 0.
-246, -1, 98
Find y such that 3*y**2 + 2712*y + 186525 = 0.
-829, -75
Suppose -2*t**2/3 - 52036*t/9 - 86710/9 = 0. What is t?
-8671, -5/3
Factor 3*u**4 + 1908*u**3 + 13227*u**2 + 11322*u.
3*u*(u + 1)*(u + 6)*(u + 629)
Factor 2*i**3/13 - 3774*i**2/13 + 22590*i/13 - 33858/13.
2*(i - 1881)*(i - 3)**2/13
Suppose -3*v**4/2 + 753*v**3 - 193467*v**2/2 + 560232*v - 830304 = 0. Calculate v.
3, 248
Determine m, given that 76*m**5/7 + 72*m**4/7 - 80*m**3/7 - 72*m**2/7 + 4*m/7 = 0.
-1, 0, 1/19, 1
Find p, given that -18108*p**3/13 + 12162*p**2/13 - 2072*p/13 + 10/13 = 0.
5/1006, 1/3
Factor 2*j**3/3 + 596*j**2/3 + 4094*j/3 + 1940.
2*(j + 2)*(j + 5)*(j + 291)/3
Find w such that 54*w**3 - 2316*w**2 - 11786*w - 9416 = 0.
-11/3, -1, 428/9
Find n, given that 92*n**4 - 1772*n**3 + 7680*n**2 + 10000*n - 16000 = 0.
-40/23, 1, 10
Determine u so that 3*u**2 - 760671*u + 760668 = 0.
1, 253556
Let 9*d**5/2 - 192*d**4 + 2533*d**3/2 + 2017*d**2 + 214*d - 340 = 0. Calculate d.
-1, -2/3, 1/3, 10, 34
Let -2*x**5/5 + 22*x**4/5 + 32*x**3/5 - 88*x**2/5 - 96*x/5 = 0. Calculate x.
-2, -1, 0, 2, 12
Solve -192*g**4 - 15216*g**3 - 87699*g**2 - 693*g + 476982 = 0 for g.
-73, -33/8, 2
Suppose 5*s**2 - 3209190*s + 514945022805 = 0. What is s?
320919
Factor -v**3/5 - 8546*v**2/5 + 11973*v - 51318/5.
-(v - 6)*(v - 1)*(v + 8553)/5
Factor -2*r**2/19 + 9050*r/19 + 9052/19.
-2*(r - 4526)*(r + 1)/19
Let 90*k**5 + 3425*k**4 + 15040*k**3 + 825*k**2 = 0. What is k?
-33, -5, -1/18, 0
Factor 36*g**2 - 6016*g + 29180.
4*(g - 5)*(9*g - 1459)
Solve 2*g**5 - 112*g**4 - 1286*g**3 - 2228*g**2 - 1056*g = 0 for g.
-8, -1, 0, 66
Suppose -3*n**5/5 - 51*n**4/5 + 279*n**3/5 + 459*n**2/5 - 2268*n/5 = 0. Calculate n.
-21, -3, 0, 3, 4
Solve -2539*k**2 + 30467*k/6 + 1/3 = 0.
-1/15234, 2
Solve 700*j**3 + 321995*j**2/2 - 575*j = 0.
-230, 0, 1/280
Factor 5*s**5 + 1630*s**4 - 4935*s**3.
5*s**3*(s - 3)*(s + 329)
Determine u, given that -u**5/2 + 251*u**4/2 + 2252*u**3 + 7058*u**2 - 24120*u = 0.
-10, -9, 0, 2, 268
Find j, given that -2*j**3/13 - 3616*j**2/13 + 21848*j/13 + 145120/13 = 0.
-1814, -4, 10
Factor k**3/3 - 85*k**2/3 + 522*k.
k*(k - 58)*(k - 27)/3
Factor -q**3/2 + 1497*q**2/2 - 14031*q - 14780.
-(q - 1478)*(q - 20)*(q + 1)/2
Solve 2*r**5/5 - 24*r**4/5 - 242*r**3/5 - 464*r**2/5 + 24*r + 608/5 = 0.
-4, -2, 1, 19
Factor 4*o**2 + 12420*o + 74376.
4*(o + 6)*(o + 3099)
Find h such that h**3/4 + 38187*h**2/2 - 152751*h/4 + 19094 = 0.
-76376, 1
Factor 2*k**3 + 604*k**2 + 602*k.
2*k*(k + 1)*(k + 301)
Factor -5*d**3 + 1235*d**2 + 18345*d - 19575.
-5*(d - 261)*(d - 1)*(d + 15)
Solve 20*x**2 - 1024*x + 12992 = 0.
116/5, 28
Suppose 2*z**2 + 77726*z = 0. Calculate z.
-38863, 0
Factor 2*x**2/3 - 88*x - 13320.
2*(x - 222)*(x + 90)/3
Factor -5*h**3 - 765*h**2 - 29640*h - 28880.
-5*(h + 1)*(h + 76)**2
Solve -5*h**2 - 2990*h - 215880 = 0 for h.
-514, -84
Factor -2*c**2 + 944308*c - 111464699858.
-2*(c - 236077)**2
Factor -p**3/11 - 6426*p**2/11 + 19297*p/11 + 64290/11.
-(p - 5)*(p + 2)*(p + 6429)/11
Factor 2*o**4/9 + 248*o**3/9 + 160*o**2 + 2848*o/9 + 1888/9.
2*(o + 2)**3*(o + 118)/9
Factor -4*l**3/5 + 77808*l**2/5 - 622272*l/5 + 1244416/5.
-4*(l - 19444)*(l - 4)**2/5
Determine m, given that 2*m**3/3 + 1702*m**2/3 + 11816*m/3 = 0.
-844, -7, 0
Factor 4*u**3 - 2512*u**2 + 63788*u + 673120.
4*(u - 601)*(u - 35)*(u + 8)
Factor -4*f**4 + 276*f**3 - 1548*f**2 + 2284*f - 1008.
-4*(f - 63)*(f - 4)*(f - 1)**2
What is o in -5*o**2 + 4460*o - 17760 = 0?
4, 888
Determine s, given that -2*s**2 - 494012*s - 30505982018 = 0.
-123503
Suppose h**2 + 350*h + 349 = 0. What is h?
-349, -1
Suppose w**2/5 + 806*w + 261624/5 = 0. What is w?
-3964, -66
Factor -4*k**5 + 3408*k**4 + 13672*k**3 + 20528*k**2 + 13692*k + 3424.
-4*(k - 856)*(k + 1)**4
Factor 8409*k**3 - 16815*k**2 + 8403*k + 3.
3*(k - 1)**2*(2803*k + 1)
What is w in w**5/2 + 27*w**4/2 - 393*w**3/2 - 863*w**2/2 - 222*w = 0?
-37, -1, 0, 12
Factor m**3 + 2763*m**2 - 83565*m + 628425.
(m - 15)**2*(m + 2793)
Factor -5*d**5 - 285*d**4 - 1590*d**3 - 3110*d**2 - 2565*d - 765.
-5*(d + 1)**3*(d + 3)*(d + 51)
Factor l**4/6 - 3047*l**3/3 + 2050132*l**2 - 4031708240*l/3 - 162254322496/3.
(l - 2044)**3*(l + 38)/6
Determine o so that -o**4/7 + 11351*o**3/7 + 603737*o**2/7 + 7698429*o/7 - 8313516/7 = 0.
-27, 1, 11404
Factor 2*l**3/9 - 22522*l**2/9 + 45038*l/9 - 2502.
2*(l - 11259)*(l - 1)**2/9
Find y, given that -y**4/11 + 452*y**3/11 - 1797*y**2/11 + 2242*y/11 - 896/11 = 0.
1, 2, 448
Factor -5*y**3 + 3635*y**2 - 25200*y.
-5*y*(y - 720)*(y - 7)
Factor -4*j**4 + 76*j**3 - 312*j**2.
-4*j**2*(j - 13)*(j - 6)
Determine s, given that -2*s**5 - 644*s**4 + 1296*s**3 = 0.
-324, 0, 2
Factor 5*n**4 - 195*n**3 + 2500*n**2 - 10560*n.
5*n*(n - 16)*(n - 12)*(n - 11)
Factor -4*c**5 + 4728*c**4 - 1429828*c**3 + 19328064*c**2 - 66846976*c.
-4*c*(c - 584)**2*(c - 7)**2
Factor 4*c**2 + 2688*c + 8028.
4*(c + 3)*(c + 669)
Let 3*y**5 + 34266*y**4 + 97571904*y**3 - 1569419418*y**2 + 1471813245*y = 0. What is y?
-5719, 0, 1, 15
Find i, given that -3*i**5 - 735*i**4 - 40149*i**3 + 684327*i**2 + 9496320*i + 25804800 = 0.
-128, -5, 21
Factor 13*b**3/2 + b**2 - 283*b/2 + 134.
(b - 4)*(b - 1)*(13*b + 67)/2
Determine h so that 4*h**3 + 149*h**2 - 1258*h - 3080 = 0.
-44, -2, 35/4
Let 2*z**3/3 + 290054*z**2/9 + 171866*z + 483370/9 = 0. What is z?
-48337, -5, -1/3
Find x, given that -26*x**3/9 - 8822*x**2/9 + 15020*x/9 + 5456/9 = 0.
-341, -4/13, 2
Factor 35*t**2 + 1450*t - 534360.
5*(t + 146)*(7*t - 732)
Determine d, given that 5*d**2 - 1270*d - 25935 = 0.
-19, 273
Solve 2*l**3/15 - 4582*l**2/5 - 82532*l/15 - 36688/5 = 0 for l.
-4, -2, 6879
Solve 36*h**5 + 2816*h**4 - 11580*h**3 - 34104*h**2 + 81584*h + 19680 = 0 for h.
-82, -3, -2/9, 2, 5
Factor l**3/9 + 439*l**2/9 - 51457*l/9 - 51895/9.
(l - 97)*(l + 1)*(l + 535)/9
Determine r, given that -33*r**4 + 2718*r**3 - 3657*r**2 + 972*r = 0.
0, 4/11, 1, 81
Factor -3*u**3 + 45*u**2 + 27*u - 1365.
-3*(u - 13)*(u - 7)*(u + 5)
Determine y so that 3*y**3 + 22548*y**2 - 3*y - 22548 = 0.
-7516, -1, 1
What is f in -3*f**2/5 - 354*f + 1773/5 = 0?
-591, 1
Factor -q**5/5 - 8746*q**4 - 637423056*q**3/5 - 3096813651246*q**2/5 + 3097451118033*q/5.
-q*(q - 1)*(q + 14577)**3/5
Factor -5*g**2 + 840*g - 30160.
-5*(g - 116)*(g - 52)
Factor -2*d**3 - 1086*d**2 - 136566*d + 3000518.
-2*(d - 19)*(d + 281)**2
Factor -d**5/3 - 569*d**4/3 - 77720*d**3/3 + 925100*d**2/3.
-d**2*(d - 11)*(d + 290)**2/3
Factor 3*t**3/2 + 39*t**2 + 435*t/2 + 342.
3*(t + 3)*(t + 4)*(t + 19)/2
Determine n so that -2*n**5/9 - 404*n**4/9 - 1190*n**3/9 + 820*n**2/9 + 4792*n/9 + 3184/9 = 0.
-199, -2, -1, 2
Factor q**3/6 + 64*q**2 - 782*q/3 - 776.
(q - 6)*(q + 2)*(q + 388)/6
Factor -2*u**2 - 9034*u + 63336.
-2*(u - 7)*(u + 4524)
Find i, given that -46*i**3/7 + 1096*i**2/7 + 192*i/7 = 0.
-4/23, 0, 24
What is m in -m**5 - 18*m**4 - 89*m**3 - 72*m**2 = 0?
-9, - | {
"pile_set_name": "DM Mathematics"
} |
z - 5. Is b(t) a multiple of 6?
True
Let h = 531 - -28. Is 58 a factor of h?
False
Let a(r) = 4*r**2 - 60*r + 296. Is a(29) a multiple of 19?
False
Let z = 110 + 307. Is 8 a factor of z?
False
Let c(h) = 47*h**2 - 13*h + 20. Is 12 a factor of c(4)?
True
Suppose 2*w = w + 176. Suppose -5*p + 981 - w = 0. Does 36 divide p?
False
Let f = -2585 + 2739. Does 7 divide f?
True
Let a = -67 - -86. Suppose 224 = a*l - 11*l. Is 14 a factor of l?
True
Let z = -1611 - -3110. Does 24 divide z?
False
Suppose 3*g - 10*p = -5*p + 1004, 0 = -4*g - 3*p + 1300. Is g a multiple of 38?
False
Let s = 303 - 206. Let u = s + -68. Is 10 a factor of u?
False
Let m(n) = -n + 80. Let k be m(0). Suppose 3*c - 57 = 57. Suppose u + c = 5*p - k, p - u = 22. Does 6 divide p?
True
Suppose 5*d - 8*d = -18. Suppose 43 = 7*s - d. Suppose -34 = -3*i + 3*p - s, 5*p = -2*i + 53. Is i a multiple of 7?
True
Let m(z) = 21 - 22*z + 2*z + 0*z - 5. Is m(-7) a multiple of 21?
False
Let j(f) = f - 21. Let d be j(19). Let o be d/6*(-7 + 4). Is o/(2 - (-39)/(-21)) a multiple of 5?
False
Suppose -o + 3*d + 462 = o, 2*d - 940 = -4*o. Is 36 a factor of o?
False
Suppose -2*h + 0*h + 334 = 0. Suppose 3*y = 4 + h. Does 29 divide y?
False
Let j(w) = 3*w - 7. Suppose -7*d + 8*d + 3 = 0. Let p(m) = m**2 + 2*m + 1. Let x be p(d). Is 5 a factor of j(x)?
True
Suppose 5*z - 2 = 4*z. Suppose 42 + 38 = z*m. Does 7 divide m?
False
Does 36 divide 656/2 - (25 - 21)?
True
Let o(q) = 84*q**2 + q. Suppose 6*i - i + 3*u = -20, u = -5. Let x be o(i). Suppose -x - 147 = -5*k. Is 11 a factor of k?
False
Suppose -19 = -4*q + 433. Suppose -2*s - 5*t = -81, 3*s + 4*t - q + 9 = 0. Is s a multiple of 14?
True
Let x = -93 + 100. Suppose -2*u = -3*v - 7 - x, 3*u = 4*v + 23. Is u a multiple of 6?
False
Is 224/((32/104)/2) a multiple of 13?
True
Let b be (-11)/3*18/(-6). Let m(r) = -3*r - 3*r**3 + b - 10 + 15 + 12*r**2 + 4*r**3. Is m(-12) a multiple of 13?
True
Is 25 a factor of 1634*(7 - 16)/(-9)?
False
Is 6 a factor of (-2)/(-5) - (-14 - 13256/10)?
False
Suppose 4*y = -19*y + 6187. Does 5 divide y?
False
Let y be -2 + -2 + (0 - -9). Let v(r) = 6*r + 70. Let f be v(-7). Suppose -y*l = -f - 27. Is l a multiple of 3?
False
Suppose 0 = -3*b - 13 + 253. Suppose 2*f - b = 56. Is 7 a factor of f?
False
Let v be (-5)/(25/(-255)) + 3. Suppose -4*o = -t + 207, o + v + 332 = 2*t. Is t a multiple of 32?
False
Let k be 12*((-2)/12 + 5/12). Suppose -k*r + 13 = -26. Does 13 divide r?
True
Let y(s) = 52*s. Let o be y(2). Let a be -1*(6 - 3) - o. Let k = a + 180. Is 14 a factor of k?
False
Suppose 28 = 3*c + 7. Suppose 4*k - c = 9. Suppose k*b = 132 + 16. Does 27 divide b?
False
Let s(j) = 2*j**2 - 9*j + 11. Let v be s(5). Suppose -12*d + v*d - 352 = 0. Suppose 0 = -4*q + 4*w + d, -w - 14 = -q - 4*w. Is q a multiple of 5?
True
Suppose 3*x + 0 = -z + 1, 2*z + 12 = x. Suppose 2*i = -x*i + 16, 0 = -5*h - 5*i + 400. Does 12 divide h?
False
Let c(u) = -18*u - 3. Let m(a) = -a. Let o(r) = -c(r) + 6*m(r). Let z = -15 + 19. Does 10 divide o(z)?
False
Let f(y) = -139*y - 112. Does 13 divide f(-7)?
False
Let m be ((-8)/(-20))/((-1)/(-5)). Let r(k) = 11*k**3 + 4*k**2 - 2*k - 2. Let n be r(m). Suppose n = 5*y - 2. Is y a multiple of 19?
False
Does 19 divide (-29184)/144*(-36)/3?
True
Suppose 0 = -3*b + 2*b + 5*c + 155, 2*c = b - 155. Does 19 divide b?
False
Suppose 4*f - 4800 = -3*o, 3*o + 73 = f + 4873. Does 114 divide o?
False
Suppose 116 = 3*u - 37. Does 17 divide u?
True
Let z(m) = m**3 + 7*m**2 - m - 6. Let n be z(-7). Let t(w) = 6*w - 2. Let v be t(n). Suppose -46 = -v*s + 14. Does 11 divide s?
False
Suppose 786 = -u - 2*u. Let q = u + 181. Let k = 138 + q. Does 24 divide k?
False
Let l = -75 - -86. Suppose -4*b - 8 = -80. Is 15 a factor of b*(l/3 - 2)?
True
Let c be (-2 + 1)/((-15)/(-135)). Does 4 divide (-70)/(-6) + (24/c - -3)?
True
Is (-3)/(((-42)/72)/7) even?
True
Suppose 3*r - 25 = -2*r. Suppose r*o + 4*v = 31, -5*o - 5 = 3*v - 32. Is 3 a factor of o?
True
Let g(k) = 12*k**3 - 4*k**2 + k + 1. Suppose 0 = h - 4*h + 4*r + 26, 5 = -r. Is 11 a factor of g(h)?
False
Let u(r) = 88*r**2 - 3*r + 1. Suppose -3*f + 6 = c, -4*f + 5*c - 10 - 1 = 0. Does 8 divide u(f)?
False
Let z = -46 + -12. Let k = z - -94. Is k a multiple of 2?
True
Let j = -2237 - -3240. Is 17 a factor of j?
True
Let w be 9/12 - (-14)/(-8). Let h be (-2 + 1)/(1 - 2). Does 4 divide 2 + 20/(h - w)?
True
Let g be (-2)/(-4)*(-6 - -6). Suppose g = 4*z, 3*n = z - 41 + 695. Is n a multiple of 38?
False
Suppose -v + 3 = -s, 8*s + 9 = 3*v + 4*s. Suppose -v*r = -r - 312. Suppose 0*g + r = 3*g. Does 16 divide g?
False
Let m(v) = -209*v + 152. Is 57 a factor of m(-5)?
True
Suppose 6*j - j = -2*l + 17, 0 = -5*l - 5*j + 35. Suppose -5*g + i = -5, 10 = -l*g + 3*g - 2*i. Suppose 235 = -g*r + 5*r. Does 14 divide r?
False
Let x(u) = u**2 - 3*u - 4. Let h be x(4). Suppose h = -3*a - a. Suppose a = -5*z - 0*z + 70. Is 6 a factor of z?
False
Suppose 3*s + 33 + 207 = 0. Let b be s/(-28)*14/4. Does 24 divide ((-48)/b)/(2/(-10))?
True
Suppose 15*f = 22*f - 15491. Is f a multiple of 43?
False
Let a be 5/2*(-5 - 49/(-5)). Suppose a*f - 8*f - 224 = 0. Is f a multiple of 8?
True
Is (8 - 108/18)/(2/364) a multiple of 26?
True
Let a be 1 - 1/(4/(-12)). Suppose -5*z + 239 = 4*o, -30 = -z - a*o + 5. Suppose -z = -x + 3*s, -3*s = -4*x - 2*s + 237. Does 20 divide x?
True
Suppose 2*c - 728 = -4*z, -6*z = 4*c - 11*z - 1495. Is c a multiple of 37?
True
Suppose -10*j = -751 - 2049. Is j a multiple of 28?
True
Suppose 4*v - v - 250 = -2*d, -2*v + 3*d = -158. Does 14 divide 18/27 + v/3?
True
Let z(l) = -2*l**2 - 4*l + 5. Let m be z(0). Suppose -p + 2*y = -137 - 187, 0 = 2*p + m*y - 648. Does 18 divide p?
True
Let j(y) be the first derivative of -y**2/2 + 2*y - 13. Let l be j(2). Suppose l*b = 3*b - 135. Does 9 divide b?
True
Suppose l + 1 - 22 = 0. Does 3 divide l?
True
Suppose -621 = -s + a, -3*s + 1884 = -2*a + 6*a. Is s a multiple of 26?
True
Let i(r) = 3*r**3 - 17*r**2 - 21*r + 8. Is i(7) a multiple of 9?
False
Let k be ((-35)/168)/(1/(-4))*6. Suppose -73 = -k*j + 167. Is j a multiple of 5?
False
Suppose -6*x = -11*x + 470. Suppose 5*q = 161 + x. Suppose 3*w = 5*r - q, -r - 5*w + 4 = 5. Is r a multiple of 9?
True
Let t(h) = -2*h - 1. Let x be t(-4). Suppose 12*v - 880 = x*v. Suppose 5*u = u + v. Is 12 a factor of u?
False
Suppose -28*u = -30*u + 54. Suppose -28*a + u*a + 56 = 0. Is 28 a factor of a?
True
Let r(d) = -d**3 - 9*d**2 - 10*d - 21. Let k be r(-9). Let c = 10 + k. Is 14 a factor of c?
False
Let x(h) = 20*h**2 + 68*h - 17. Does 14 divide x(-7)?
False
Let c be (15/2)/(2/4). Let m = c + -8. Is 17 a factor of 34/(-4)*(-28)/m?
True
Let p(f) = 23*f**2 + 7*f + 13. Is 30 a factor of p(-4)?
False
Let s be ((-1552)/(-20))/(27/(-15) - -2). Suppose -s = -8*f - 4. Does 23 divide f?
False
Suppose -c - 8 = 2*c - 4*y, 5*y = 2*c + 17. Suppose -c*r = -1 + 5. Is (r - -2)/((-2)/(-28)) a multiple of 7?
True
Suppose 0*k - 4*k + 1652 = -4*x, 5*k - 2*x = 2056. Is k a multiple of 26?
False
Does 47 divide (-8319)/(-59)*(40/(-6))/(-2)?
True
Let o(r) = 162*r**2 + 66*r + 134. Is 65 a factor of o(-2)?
True
Let d = -7 - -11. Suppose 2*g + 76 = -3*g + d*i, 3*i = 12. Is (-97)/(-4) + 3/g a multiple of 9?
False
Suppose -201 = -a - 5*i + 526, 4*i - 732 = -a. Is 16 a factor of a?
True
Is 458*(-3)/(-2) + (-16 - -9) a multiple of 3?
False
Let c = -226 - -586. Does 12 divide c?
True
Suppose s = -4*s - 0*s. Suppose s = -k + 126 + 36. Is k a multiple of 15?
False
Let z(i) = -i - 1. Let r be (-3 + 1)*15/6. Let t be z(r). Is 392/16 + (-6)/t a multiple of 3?
False
Let b = 95 - -1592. Is b a multiple of 17?
False
Suppose 0 = -2*w + 4*w + 30. Let z = w - -20. Suppose 8 = u - 0*u - z*j, 0 = -4*u + 4*j + 32. Is u a multiple of 3?
False
Let r(x) = 5*x**2 + 3*x - 21. Is r(4) a multiple of 2?
False
Let r = -27 - 21. Let j be (-536)/r + 2/(-12). Does 20 divide j/(22/84) + -2?
True
Let o(u) = 2*u**2 + 12*u + 3. Let m be o(-6). Does 9 divide (-262)/(-6) + 4/m?
True
Let n(f) = -14*f - 22. Let j(m) = -13*m - 22. Let v(h) = -5*j(h) + 4*n(h). Does 17 divide v(7)?
True
Let y = -1 + 4. Does 11 divide (2/y)/(30/1215)?
False
Suppose 5*d - 4*h - 69 = 0, -4*d - h + 0*h = -72. Let g = d - 17. Suppose 76 = 2*q - g*q. Is 8 a factor of q?
False
Suppose -53 + 1241 = 6*j. | {
"pile_set_name": "DM Mathematics"
} |
r a composite number?
True
Let q = 90 + -164. Let f = -148 - q. Is f/4*(-3 + 1) prime?
True
Is 327 - (4 + -4 - 4) a prime number?
True
Suppose 2*f = -2*n + 40, 0 = 3*n + 5*f - 19 - 37. Is n prime?
False
Suppose -t - 9 = -o, -o + 4*t + 11 = -2*o. Suppose 0 = -5*p - o*b + 121 + 109, 144 = 3*p - 3*b. Is p a prime number?
True
Let z = 9238 - 4535. Is z a composite number?
False
Let m(x) = -x**3 + x**2 + x + 129. Let a be m(0). Let n = a + -82. Is n a prime number?
True
Let q = -59 - -133. Suppose 2*n + 2*t - 36 = 0, 0*n - 3*n = -t - q. Is n a prime number?
True
Suppose -o + 2 = l + 9, -4*l = -4*o - 12. Let j = l - -4. Let z(q) = 35*q - 3. Is z(j) composite?
False
Suppose 634 = 3*x - x. Suppose 0 = -4*v - 2*u + 7*u + 667, 2*v + 3*u - x = 0. Is v a composite number?
False
Suppose 5*d - 5 = -5*o, 2*d - 7*d - 4 = 2*o. Suppose 3*g = -2*c, g = 5*c - o*c. Suppose c*h - 422 = -2*h. Is h composite?
False
Let m be 3 - (2 + 0)*-8. Suppose c = 2*c - m. Is c composite?
False
Is ((-5845)/(-10))/(1 - 2/4) a composite number?
True
Is 636 + ((-8)/(-2))/(-4) composite?
True
Suppose -5*m + 3*m = 4*c - 2446, c = 2*m + 604. Suppose -c = -h - h. Suppose 3*b + 18 - h = k, k = 4*b - 384. Is b a composite number?
False
Suppose 4*j = 3547 - 399. Is j a composite number?
False
Suppose -4*h + 248 = -296. Suppose -h = -4*k + 84. Is k composite?
True
Let c = 270 - 155. Let w = c - 69. Is w composite?
True
Let t be ((-366)/7)/(7/(-49)). Suppose q = -2*q + t. Is q a composite number?
True
Let z = -2 - -4. Suppose -i - i - z*w = 6, 13 = i - 3*w. Is (i*66)/2 - 0 a prime number?
False
Is (-1)/3 + (-1482)/(-18) a composite number?
True
Let q(o) = -o**3 + 15*o**2 - 5*o + 5. Is q(8) composite?
True
Let w be (-4)/(-10)*(3 + 2). Suppose 3*k = -a + 64, k + 122 = w*a + 5*k. Is a prime?
False
Suppose -4*k + 535 = -k - m, 0 = 3*k + 2*m - 523. Is k prime?
False
Suppose w - 47 = -w - p, -2*p + 70 = 3*w. Let z = 61 - w. Is z prime?
True
Suppose -5*z + 3*q + 7 = 7*q, 4*q = -8. Let c = z + 179. Suppose -k - k + c = 0. Is k composite?
True
Let i(g) = -g**2 + 8*g. Let k be i(8). Suppose 2*u - 4*w = 510, u = -k*u + 4*w + 245. Suppose 4*c = -0*c + 4*z + 372, -3*c = 4*z - u. Is c prime?
False
Let g be 5/(-3)*(-9)/3. Suppose 5*b - 27 - 33 = -g*r, 5*r + 36 = 3*b. Is (2 - 0)*186/b prime?
True
Suppose 10*v = 15*v - 1585. Is v a composite number?
False
Let l be -4*((-50)/8)/5. Let i be (2 + 3)*4/l. Suppose -i*u + 95 = -201. Is u a composite number?
True
Suppose -v = -5, 0 = 4*x - v - 3. Is 162 + (-3)/(-1) - x composite?
False
Suppose j + 4*j - 2*f = 6299, -j - 4*f = -1251. Is j a composite number?
False
Is (-446)/3*(-6)/4 composite?
False
Is 447 + (1 - 1 - -2)*-1 composite?
True
Let j = -6 + 10. Suppose -2*b + j*q - 10 = 0, -3*q = 4*b - 29 + 5. Suppose -2*v + c = -322, -5*c - 701 + 218 = -b*v. Is v composite?
True
Let b = 91 - 38. Is b a prime number?
True
Let w = 462 - 313. Is w a prime number?
True
Let y = 22 + -15. Suppose 8*l - y*l - 161 = 0. Is l composite?
True
Suppose -6*d + 615 = -3*d. Is d a composite number?
True
Suppose 3*c + 16 = 7*c. Suppose -2*d + 162 = -2*p, d + 18 - 109 = -c*p. Is d composite?
False
Let m(s) = -86*s + 17. Is m(-10) a composite number?
False
Let j(h) be the second derivative of -1/10*h**5 + 0 + 5/2*h**2 - h**3 - 2/3*h**4 - 2*h. Is j(-6) a composite number?
True
Suppose 3*z - 11 + 32 = v, 5*z + 4*v = -18. Let b = 10 + z. Suppose -b*i = -u - 55, -2*u + 0*u = -4*i + 50. Is i composite?
True
Let q(w) = 255*w**2 - 13*w - 1. Is q(-3) prime?
True
Let g(q) = -4*q - 2. Let k be (-6)/(-5)*10/4. Let p be (k/4)/((-2)/8). Is g(p) a composite number?
True
Let z = -1 + 3. Suppose z = -t, -3*t - 2*t = 2*s - 144. Is s prime?
False
Is 36/(-54)*3318/(-4) a composite number?
True
Suppose -5*b = x + x + 17, -13 = x + 4*b. Let d be x/(-1) + (6 - 4). Suppose -d*n + 284 = n. Is n prime?
True
Let c = -1 - -3. Suppose 0*q = -c*q + 10. Suppose -q*l + 6*z + 386 = 3*z, 0 = l + 2*z - 85. Is l composite?
False
Suppose -9*s + 4*s = 0. Suppose -2*o - 3*o + 3660 = s. Suppose -o - 171 = -3*a. Is a a prime number?
False
Let h(j) = -j**3 + 3*j**2 - 8*j - 7. Is h(-5) a composite number?
False
Let l(z) be the second derivative of -4*z**3 + z**2 - 4*z. Let r be l(-2). Let o = r - -27. Is o a prime number?
False
Let k = 80 + 123. Is k a composite number?
True
Let w(u) = -u**3 + 4*u**2 - 4*u - 1. Let v be w(3). Let x(c) = c. Let s be x(v). Is -1*2 + (45 - s) a prime number?
True
Suppose 0 = -p + 2*p + 5*s + 127, -4*p = 4*s + 460. Let u be (-1)/(-1)*(-2 + 199). Let j = u + p. Is j a composite number?
True
Let a = 107 - 63. Suppose -4*x + 92 = -0*x. Let r = a - x. Is r a composite number?
True
Suppose 13 = 2*c + l - 0*l, 26 = 5*c - 4*l. Suppose -3*b + 3 = -c. Suppose 0 = -5*n + b*q + 47, -q = 3*n - 31. Is n a prime number?
False
Suppose 3*w + 6 = 2*y - y, 3*w + 6 = 5*y. Let t(d) = -d**3 - 2*d**2 - 2*d - 2. Let s be t(-2). Suppose -z + s*z - 7 = y. Is z a composite number?
False
Let y be -3*8/2 + 2. Is (-206)/(-3) - y/30 composite?
True
Suppose -14 + 5 = -3*i. Suppose -10 = x - i*x. Suppose x*y - 23 = 47. Is y composite?
True
Let k(m) = 3*m**2 - 6*m + 2. Is k(9) a composite number?
False
Suppose -2*i + 37 + 81 = 0. Is i composite?
False
Let q(w) be the first derivative of -3*w**4/4 + w**3/3 - w**2/2 - w + 3. Let o be q(-1). Suppose 168 = o*g - 0*l + 5*l, 128 = 4*g - 5*l. Is g composite?
False
Suppose 3*s + 3*w = -18, 0 = 4*s + 3*w + 8 + 11. Is -3 - s - (-20 - 1) a prime number?
True
Let p(o) be the third derivative of o**5/60 + o**4/8 + 19*o**3/6 - 4*o**2. Is p(-13) composite?
False
Suppose m - 1255 = -3*d, 4*d - 1899 + 221 = m. Is d prime?
True
Let w = 2 - 4. Is 195/9 - w/(-3) prime?
False
Let p(q) = -459*q + 31. Is p(-6) a prime number?
False
Let k = 614 + -396. Is k prime?
False
Let b(l) = 5*l**2 - 13*l - 1. Let m(v) = -4*v**2 + 12*v + 2. Let i(z) = 5*b(z) + 6*m(z). Let k = -27 + 20. Is i(k) a composite number?
False
Let b be (21/3)/((-2)/(-2)). Suppose -42 = -w - b. Is w a composite number?
True
Let f = 6 + -2. Suppose -91 = -2*i + 11. Suppose f*m = -11 + i. Is m a composite number?
True
Let b(m) = 6 - 5 - 2*m + 4. Let p be b(5). Is -1 - (1 + 11*p) composite?
False
Suppose 3*o = o - 4*w + 486, -5*o + 3*w = -1267. Is o composite?
False
Let d = 11 - 8. Suppose 2*m - 79 = -h - d*m, h - 3*m = 95. Is h a composite number?
False
Let p(n) = n**2 + n + 1. Suppose 3*j + 4*m = -19, j + 4*m + 2 = -7. Is p(j) a prime number?
False
Let z be (-3 - -2)/1 - 2. Let v(u) = 12*u**2 - 10*u**2 - u + 5*u. Is v(z) prime?
False
Let d = 6063 - 4077. Let i be d/(-8) + (-4)/(-16). Let r = i + 471. Is r composite?
False
Suppose -3*y + 3141 = 2*p, y - 1048 = -0*y - p. Suppose 5*f = -0*f + 2*m + y, 2*m + 834 = 4*f. Is f composite?
False
Suppose -3*z + 0*z = 0. Is (-4)/12*-1257 - z composite?
False
Suppose -6*w + 15 = -3*w + 3*r, -w - 5*r + 5 = 0. Suppose -29 = -k - w*s, s = -2*k + 4*k - 36. Is 3*1/3*k a prime number?
True
Is 89/(-2)*(-1 - 1) prime?
True
Let o(v) = 3*v**2 - 4*v - 6. Let l(i) = -7*i**2 + 9*i + 12. Let r(f) = -4*l(f) - 9*o(f). Is r(5) a composite number?
False
Let g be (-5)/(3/24*-2). Suppose 5*r = -g, -5*s - 3*r + 8 = -0*r. Suppose 0*x - 221 = -s*a - x, 2*x = a - 53. Is a a composite number?
True
Suppose -27220 = -28*f + 8*f. Is f a prime number?
True
Suppose 0 = 2*q + 3*s - 213, -q + s = -2*q + 104. Suppose -5*c + b + 377 = 0, 5*b = 3*c - q - 114. Suppose 5*i - c = i. Is i composite?
False
Is (5877/12)/((-15)/(-100)) a prime number?
False
Let p be (0 - 2) + (4 - 1). Suppose -5*k = -4 - p. Suppose k = y - 18. Is y prime?
True
Let h be (-6)/12 + (-54)/4. Let d be (h + 4)*5/(-2). Suppose 4*w - 5*o - d = 0, -5*w - 2*o = -o - 53. Is w prime?
False
Suppose -103 = -5*o + 2. Is o prime?
False
Let z = 174 + -52. Suppose 0 = 4*n - z - 10. Suppose 5*s - n - 77 = 0. Is s a composite number?
True
Let u be (-2577)/(-21) - 2/(-7). Suppose -761 = -4*m + u. Is m a prime number?
False
Is -29*10*(4 + 36/(-8)) a composite number?
True
Let a be (-223)/2 - 1/2. Is (-6)/(-9) + a/(-12) composite?
True
Suppose 734 + 921 = 5*o. Is o composite?
False
Suppose 4*i - 3*l = 1531, 5*i + 5*l - 1870 = -0*i. Suppose -6*q + 1089 = -3*q - 3*h, i = q + 3*h. Is q composite?
False
Let y(q) = -7 + q**2 + 2 - 5*q + 2. Let g be y(6). Is (-1)/3 + 208/g a prime numbe | {
"pile_set_name": "DM Mathematics"
} |
5 of a century in years?
120
What is 7/4 of a hour in seconds?
6300
What is 0.4787389ml in litres?
0.0004787389
What is 0.3340754 millilitres in litres?
0.0003340754
Convert 0.7678385 decades to centuries.
0.07678385
How many milligrams are there in 11/10 of a gram?
1100
Convert 12.69751l to millilitres.
12697.51
What is 620.4116 kilometers in centimeters?
62041160
How many years are there in 32/5 of a decade?
64
Convert 9.968467 weeks to nanoseconds.
6028928841600000
What is 1/10 of a litre in millilitres?
100
What is 0.6889634 seconds in microseconds?
688963.4
What is three tenths of a millisecond in microseconds?
300
What is fifty-nine quarters of a day in minutes?
21240
How many millilitres are there in seven quarters of a litre?
1750
How many grams are there in fourty-four fifths of a kilogram?
8800
How many minutes are there in seventy-six fifths of a day?
21888
Convert 5173.326ug to kilograms.
0.000005173326
What is twenty-seven fifths of a century in decades?
54
How many micrometers are there in 5/4 of a centimeter?
12500
Convert 44.13956 meters to kilometers.
0.04413956
Convert 303.1932 millennia to centuries.
3031.932
How many years are there in one quarter of a millennium?
250
What is 3/25 of a tonne in kilograms?
120
How many grams are there in 5/8 of a kilogram?
625
How many centimeters are there in 1.53307mm?
0.153307
How many millilitres are there in 13/8 of a litre?
1625
What is 9.965932 millilitres in litres?
0.009965932
How many millilitres are there in nineteen quarters of a litre?
4750
How many millilitres are there in twenty-seven halves of a litre?
13500
What is 722218.5 litres in millilitres?
722218500
How many milliseconds are there in eighty-nine halves of a second?
44500
How many grams are there in 49/5 of a kilogram?
9800
What is one quarter of a millennium in years?
250
How many millimeters are there in fifty-nine fifths of a centimeter?
118
How many decades are there in 5.704062 millennia?
570.4062
How many centimeters are there in fifteen quarters of a meter?
375
What is 13/8 of a millennium in years?
1625
How many milligrams are there in seven quarters of a gram?
1750
What is 3.77986m in kilometers?
0.00377986
How many millilitres are there in three eighths of a litre?
375
Convert 1.158888 weeks to nanoseconds.
700895462400000
How many months are there in eleven quarters of a year?
33
How many days are there in 524.0595 hours?
21.8358125
What is 7/2 of a millennium in centuries?
35
What is 11/2 of a meter in millimeters?
5500
What is 825387.5 kilometers in meters?
825387500
What is 247205.3m in kilometers?
247.2053
What is fifty-one quarters of a millimeter in micrometers?
12750
Convert 1510.3137 seconds to minutes.
25.171895
What is twenty-five quarters of a tonne in kilograms?
6250
What is 1/4 of a micrometer in nanometers?
250
How many nanometers are there in seven halves of a micrometer?
3500
How many millilitres are there in 797.1991l?
797199.1
How many nanoseconds are there in one quarter of a microsecond?
250
How many grams are there in one quarter of a kilogram?
250
What is 6179.721 months in millennia?
0.51497675
What is 87/5 of a litre in millilitres?
17400
Convert 11.9415 decades to months.
1432.98
What is 66727.6 millimeters in kilometers?
0.0667276
Convert 66367.71 microseconds to milliseconds.
66.36771
How many seconds are there in 0.6990134ms?
0.0006990134
How many millilitres are there in 24.21821 litres?
24218.21
What is 0.439287 centuries in millennia?
0.0439287
What is 2.181095mg in grams?
0.002181095
How many nanoseconds are there in 37386.84 days?
3230222976000000000
What is 8141.817 months in years?
678.48475
What is thirty-two fifths of a century in years?
640
What is 211.93761 months in years?
17.6614675
How many millilitres are there in seven quarters of a litre?
1750
What is 1.21865 years in decades?
0.121865
How many milliseconds are there in 59/4 of a second?
14750
How many months are there in seven halves of a millennium?
42000
What is 3/5 of a hour in minutes?
36
What is 26/5 of a decade in months?
624
How many seconds are there in one ninth of a day?
9600
How many millilitres are there in 2718.36l?
2718360
How many nanograms are there in 0.1508193mg?
150819.3
How many millimeters are there in 990426.8 centimeters?
9904268
How many millilitres are there in thirty-seven halves of a litre?
18500
How many years are there in seventeen tenths of a decade?
17
What is thirteen quarters of a century in months?
3900
What is 500854.4ml in litres?
500.8544
How many years are there in 1/5 of a decade?
2
Convert 18.8434404s to days.
0.000218095375
Convert 791.5167 litres to millilitres.
791516.7
How many kilograms are there in 89/2 of a tonne?
44500
What is three eighths of a kilogram in grams?
375
Convert 4.226828 millimeters to micrometers.
4226.828
How many millilitres are there in 3/10 of a litre?
300
What is 77946.33km in micrometers?
77946330000000
What is 33.9143ml in litres?
0.0339143
Convert 95581.9 millilitres to litres.
95.5819
What is seventy-one thirds of a week in hours?
3976
What is three fifths of a day in seconds?
51840
How many tonnes are there in 11.90497kg?
0.01190497
What is thirty-one halves of a gram in milligrams?
15500
How many centimeters are there in one quarter of a kilometer?
25000
Convert 1320.903 years to centuries.
13.20903
Convert 9.654836 tonnes to grams.
9654836
What is 9155.227 grams in micrograms?
9155227000
What is 7.48633 millilitres in litres?
0.00748633
Convert 8132.38 millilitres to litres.
8.13238
What is 18/5 of a litre in millilitres?
3600
How many years are there in 6/25 of a century?
24
Convert 0.7139671 days to nanoseconds.
61686757440000
What is one tenth of a litre in millilitres?
100
What is 0.2890914 nanometers in meters?
0.0000000002890914
How many micrograms are there in 2830.89kg?
2830890000000
Convert 2281.161m to micrometers.
2281161000
How many millennia are there in 0.6726737 years?
0.0006726737
How many nanoseconds are there in 7.547151 hours?
27169743600000
What is 48/5 of a litre in millilitres?
9600
What is 0.8726659 micrometers in nanometers?
872.6659
How many months are there in 13/8 of a century?
1950
Convert 910968.1 nanometers to kilometers.
0.0000009109681
How many micrograms are there in 87/2 of a milligram?
43500
How many months are there in 37/2 of a decade?
2220
What is 12/25 of a milligram in micrograms?
480
What is thirty sevenths of a week in hours?
720
How many litres are there in 400873.7 millilitres?
400.8737
What is 48/5 of a centimeter in micrometers?
96000
How many kilograms are there in 3/50 of a tonne?
60
How many months are there in 7/3 of a year?
28
How many nanograms are there in 1/80 of a milligram?
12500
How many millimeters are there in 90.12078 micrometers?
0.09012078
How many nanograms are there in 9/10 of a microgram?
900
What is 44176.8 millennia in decades?
4417680
What is 216.98577us in hours?
0.000000060273825
What is 1/4 of a millennium in months?
3000
How many centimeters are there in 628828.4 micrometers?
62.88284
Convert 0.62143 micrometers to nanometers.
621.43
What is seventy-five halves of a kilogram in grams?
37500
What is fourty-nine quarters of a gram in milligrams?
12250
Convert 0.7663154 millilitres to litres.
0.0007663154
What is 0.1200423 weeks in nanoseconds?
72601583040000
What is one quarter of a week in hours?
42
Convert 0.312039 centuries to years.
31.2039
Convert 9296.949 milligrams to tonnes.
0.000009296949
What is 2/125 of a gram in milligrams?
16
What is 4.847849 centuries in months?
5817.4188
How many micrometers are there in 3.612135mm?
3612.135
Convert 4.398884l to millilitres.
4398.884
What is twenty-nine halves of a meter in centimeters?
1450
What is 0.7256379 micrometers in kilometers?
0.0000000007256379
What is 11/4 of a second in milliseconds?
2750
What is 4.861756ml in litres?
0.004861756
Convert 0.930036ml to litres.
0.000930036
Convert 36464.175 minutes to days.
25.32234375
What is 511.6868 milligrams in micrograms?
511686.8
How many millilitres are there in 61/2 of a litre?
30500
Convert 547.3666 grams to micrograms.
547366600
How many micrograms are there in 3/8 of a milligram?
375
What is 5/24 of a week in minutes?
2100
Convert 4.775574 hours to milliseconds.
| {
"pile_set_name": "DM Mathematics"
} |
-4 (c) 4101
a
Which is the third smallest value? (a) -0.0469 (b) 1/4 (c) 1 (d) -0.36
b
What is the fourth biggest value in 7/3, -0.5, -3/44, -1/5, 0.19?
-1/5
Which is the fourth biggest value? (a) 4/5 (b) -1/8 (c) -479 (d) 7
c
Which is the biggest value? (a) -4/3 (b) 0.4 (c) -4142 (d) 0.3 (e) -1/8
b
Which is the biggest value? (a) 2 (b) -249 (c) 70 (d) 1 (e) 0
c
Which is the fifth smallest value? (a) 3 (b) -2.7 (c) -610 (d) -0.3 (e) -4
a
Which is the fourth smallest value? (a) -2 (b) 0.263 (c) -1/6 (d) 0.2
b
Which is the fifth smallest value? (a) -0.03 (b) 28 (c) -2/19 (d) -3 (e) 0.3 (f) -4
e
What is the fifth smallest value in 43, -3/2, 2/3, -62, -5, -3?
2/3
What is the biggest value in -319, 2/7, 6, 5?
6
Which is the fifth smallest value? (a) -1 (b) 53 (c) -0.4 (d) -1/5 (e) -1/11 (f) 55
b
Which is the second biggest value? (a) -12 (b) 2/5 (c) -3/8 (d) -103
c
What is the biggest value in -33/13, 85, -3?
85
Which is the smallest value? (a) 2 (b) -5 (c) -2 (d) -3 (e) 10/1467
b
What is the third smallest value in 25, 2, -8/9, -0.01, -5?
-0.01
What is the second biggest value in 1/184, 3, -5, 9?
3
Which is the second biggest value? (a) 180 (b) 0 (c) -2/85
b
Which is the third biggest value? (a) -5 (b) 0.1 (c) -6 (d) -115 (e) 6
a
What is the third smallest value in -0.5, 0.05, 2/27, 0.2, -0.04?
0.05
Which is the biggest value? (a) -5/3 (b) -0.4 (c) -305.3 (d) 0.37
d
What is the biggest value in 4/5, -2/2093, 1/46, 3, -2/5, -3/4?
3
What is the sixth smallest value in -2, -153, -4, 38/11, 0, -3?
38/11
What is the second biggest value in 1.4923, -1, 0.07?
0.07
What is the second biggest value in 1/4, 5/2, -16, 5, -1, 41?
5
Which is the smallest value? (a) 7685 (b) 1.8 (c) 0.5
c
Which is the fourth biggest value? (a) 2/11 (b) -0.3 (c) 3 (d) -12.676 (e) 7/5
b
Which is the biggest value? (a) -0.0846009 (b) -0.3 (c) -1/2
a
Which is the third biggest value? (a) -3/4 (b) 14 (c) -0.16
a
What is the third smallest value in 12, -45, -1/322?
12
What is the second biggest value in -0.2, -6, 18, 4, 0.07, 0?
4
What is the biggest value in 3, -105/26, 41?
41
What is the second smallest value in 4, -4, -783, 0.08, 0.3?
-4
Which is the smallest value? (a) 17 (b) -0.5 (c) 2 (d) 4 (e) 36
b
Which is the second biggest value? (a) -283 (b) -71 (c) -2 (d) -15
d
What is the smallest value in 0.2, 1, 3, 50, 106?
0.2
Which is the fourth smallest value? (a) 4 (b) 0.2 (c) 5/2 (d) -0.2 (e) 12595
a
Which is the third smallest value? (a) 4959.6 (b) 0.5 (c) 2/17
a
Which is the third smallest value? (a) -2 (b) -68 (c) 4 (d) 13 (e) -2/13
e
Which is the smallest value? (a) 0.7 (b) -5.5 (c) -4 (d) -40 (e) 0.2
d
What is the fourth biggest value in 0.4, -41, 3.5, 1/5?
-41
Which is the fourth smallest value? (a) -3/8 (b) 2/99 (c) 3 (d) -1.4
c
What is the fourth biggest value in -46, 42, -2, 0.4, 0.08?
-2
What is the smallest value in 3977/26, 1/3, -0.2?
-0.2
Which is the third smallest value? (a) -18059 (b) -1 (c) -1/3
c
Which is the third smallest value? (a) 299 (b) -17 (c) -1
a
Which is the biggest value? (a) 229 (b) -12 (c) 1/7
a
Which is the second smallest value? (a) -903 (b) -2/77 (c) 2/7 (d) -3
d
Which is the second smallest value? (a) 0.5 (b) -1777526 (c) -4/7
c
Which is the second biggest value? (a) 121 (b) 151.1 (c) -0.04
a
Which is the fifth smallest value? (a) -2 (b) 2 (c) -32.2 (d) -6 (e) 47
e
Which is the third smallest value? (a) 0.4 (b) 34 (c) -132 (d) 1/5
a
Which is the second smallest value? (a) 1996 (b) 18 (c) -0.3
b
What is the biggest value in 5, -7784, 2?
5
Which is the third biggest value? (a) 210 (b) -0.3 (c) -228 (d) -5 (e) -2/7 (f) 2/9
e
Which is the biggest value? (a) -3/4 (b) 2/5 (c) 3 (d) 12/5
c
What is the biggest value in 1343, 5, 0.3, 2/13?
1343
Which is the second smallest value? (a) 1/10 (b) 2/7191 (c) -5/4
b
Which is the second smallest value? (a) 0.5 (b) 0.12 (c) 58
a
What is the second smallest value in 1/5, -0.18, -61, 1, -5, -1?
-5
Which is the third smallest value? (a) 0.7 (b) -17 (c) -26/7
a
What is the third smallest value in -7, 189, 5/13?
189
Which is the fifth biggest value? (a) 0.079 (b) -0.3 (c) 5 (d) -1/5 (e) -0.64
e
Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 2/5 (d) 200 (e) -1/6
c
What is the second smallest value in -104.565, -0.1, 5/3?
-0.1
What is the fifth biggest value in -1, -5, 0.069, 425, -2?
-5
What is the sixth biggest value in -9, 6, -1/4, -5, 1, -3?
-9
What is the fifth biggest value in -1, 1/140, -0.4, -3, 2, -1.6?
-1.6
Which is the second biggest value? (a) -5/6 (b) -0.08 (c) -17
a
Which is the biggest value? (a) -15/52 (b) -301 (c) -3/4
a
Which is the smallest value? (a) -643 (b) 0.2 (c) -1 (d) -1/2
a
Which is the fourth smallest value? (a) -82 (b) -4/3 (c) 0.1 (d) -22
c
Which is the fifth smallest value? (a) 0 (b) -3 (c) 0.2 (d) -147 (e) 2/7 (f) 65
e
What is the third smallest value in 1, -3, -4, -2/931?
-2/931
What is the fifth biggest value in 3, -0.2, -2, 6, 33?
-2
Which is the second smallest value? (a) 3/17 (b) -10/41 (c) -0.004
c
Which is the smallest value? (a) -0.6 (b) 1/3 (c) -161874
c
What is the third smallest value in 0.98, -15, 6?
6
What is the third smallest value in 5, 4, 4068?
4068
What is the smallest value in -2/23, -23371, -0.2, -0.5, 3, -0.1?
-23371
Which is the smallest value? (a) 73.3 (b) 4 (c) 0 (d) 5
c
What is the biggest value in 4, 3/2279, 1/6, -0.03, -5?
4
Which is the smallest value? (a) -0.4 (b) 1 (c) -2/825
a
Which is the biggest value? (a) 4 (b) 1 (c) 1/2 (d) -0.3 (e) 15 (f) -2174
e
What is the third biggest value in -1/6, 0.26, 3354?
-1/6
Which is the smallest value? (a) -1/7 (b) 1 (c) -1 (d) 52 (e) -204
e
Which is the biggest value? (a) 3/4 (b) -250/7 (c) -0.5 (d) 4 (e) -1 (f) -0.3
d
What is the fifth smallest value in 91, -2/9, -0.4, -4/5, -35, 0?
0
What is the second biggest value in 5, 0.336, 93, -3?
5
Which is the second biggest value? (a) -3 (b) -2 (c) 4.59 (d) 2/45
d
Which is the fifth biggest value? (a) -3 (b) -0.054 (c) 0.5 (d) -2 (e) 4/9
a
Which is the smallest value? (a) -3 (b) 327 (c) -2/5 (d) 1.11 (e) -4
e
What is the biggest value in 2/7, -1/3, 129/8?
129/8
What is the fourth biggest value in 4, 2/3, 0, 2, -5, -89/5?
0
What is the third biggest value in -2, 4/7, 1/59, -1/4, -4, -5.17?
-1/4
What is the second biggest value in -0.21951, -0.3, 3/7?
-0.21951
What is the second smallest value in 0, -0.07, 5755?
0
Which is the second smallest value? (a) 4/5 (b) -5 (c) -194 (d) -0.05
b
What is the fourth smallest value in 2.7, -0.4, 34, -2/13, 0.2?
2.7
Which is the fifth biggest value? (a) 39 (b) 0 (c) 0.5 (d) -3 (e) -0.36
d
Which is the biggest value? (a) 3 (b) 444 (c) -2/7 (d) 2/225
b
Which is the fourth smallest value? (a) -3/17 (b) 2 (c) 33 (d) -9/7 (e) -0.4
b
What is the third biggest value in -5, -5.3, -29, 1.9?
-5.3
Which is the fourth smallest value? (a) -2/19 (b) -0.05 (c) -4 (d) 264 (e) 2 (f) -16
b
What is the second smallest value in -0.129, 4, 10, -2, 8, -1?
-1
Which is the third smallest value? (a) 4/3 (b) 0.172 (c) 3/266
a
Which is the second smallest value? (a) -2 (b) -3 (c) -0.1 (d) -7/8 (e) -30
b
What is the biggest value in -1.4, 22/19, 1/3, -1, -5?
22/19
What is the third biggest value in 0.2, -0.04, 639?
-0.04
Which is the second biggest value? (a) 5 (b) 6/53 (c) -56.9
b
What is the third biggest value in 2/7, 4/11, -10.54?
-10.54
Which is the second smallest value? (a) 0.1 (b) 3356 (c) 2/11
c
Which is the biggest value? (a) 2 (b) -5 (c) -4 (d) -2 (e) -190
a
What is the smallest value in -0.4, -2, -0.3, -362, 0.2?
-362
Which is the sixth biggest value? (a) -0.07 (b) 0.3 (c) -4 (d) -2 (e) -0.2 (f) 2703
c
Which is the second biggest value? (a) 909088 (b) 0 (c) -1/2
b
What is the third biggest value in -3, 2/63, -2, 0.09, -0.3, 16?
2/63
Which is the third smallest value? (a) 0.1 (b) -0.566 (c) -2 (d) 5
a
What is the third biggest value in -7, -2/5, 3, -1, -54?
-1
Which is the third smallest value? (a) -30 (b) 0.3 (c) 0.061
b
What is the fourth smallest value in 1.6, 0. | {
"pile_set_name": "DM Mathematics"
} |
1 - sqrt(243)))**2 - 5*sqrt(15)/(-4*sqrt(12)).
5/81 + 5*sqrt(5)/8
Simplify (1*(1 + (4 + sqrt(72) + 2 - (0 + sqrt(72) + -1 + sqrt(72))) + 4))**2.
-144*sqrt(2) + 216
Simplify -1*(-2*((sqrt(153) + 2*sqrt(153))*-1 + -5))**2*-1*-5.
-28040 - 1800*sqrt(17)
Simplify ((4*(sqrt(7) + -2 + sqrt(7)))**2 - 5*(-3 + sqrt(7))) + 5*5*sqrt(448)*1.
67*sqrt(7) + 527
Simplify (5*(-2 + sqrt(1539) + 3 + sqrt(1539)) + 6*4*sqrt(1539) + -3)**2 + -5.
1224*sqrt(19) + 1779083
Simplify (6*(3 + -4*(sqrt(363)*-5 + -2 + sqrt(363) + sqrt(363) + -2 + sqrt(363) + 0))*-5)**2.
3009600*sqrt(3) + 21233700
Simplify ((-5*sqrt(468)*-1 + sqrt(468))*-1 + 4 - (3*-4*(sqrt(468) + 2) + 3))**2.
1800*sqrt(13) + 17473
Simplify ((sqrt(539) + sqrt(539)*2 + sqrt(539) + 4 - sqrt(539)) + 2*1*sqrt(539) + -2*(-2 + sqrt(539)*1) + 3 + 2)**2.
546*sqrt(11) + 5020
Simplify (5*((sqrt(1584) + 2)*-5 + sqrt(1584) - (sqrt(1584) - (sqrt(1584) + sqrt(1584) + -1*(2 + sqrt(1584)) - sqrt(1584))))*2)**2*1.
144000*sqrt(11) + 3974400
Simplify ((sqrt(143) - (sqrt(143) + sqrt(143)*-3)*-1) + 5*(sqrt(143) + sqrt(143)*1))/(-5*5*sqrt(704)*5).
-9*sqrt(13)/1000
Simplify -4*((-5*(sqrt(136) - -3*sqrt(136)) - sqrt(136)) + (-3*sqrt(136) + sqrt(136) - sqrt(136))*1)/((-2*sqrt(88)*-1)/(sqrt(11) - (-2*sqrt(121))/sqrt(11))).
144*sqrt(17)
Simplify 4 + 0 + 1 + 5*(2 + sqrt(612))**2*-3*-4.
1440*sqrt(17) + 36965
Simplify 6*sqrt(24)/(sqrt(108)/(-2*sqrt(9)) - sqrt(12)) - sqrt(500)/(sqrt(100)/(sqrt(20)/sqrt(2)) + sqrt(10)).
-13*sqrt(2)/2
Simplify ((sqrt(2) - sqrt(18)*5 - sqrt(18)/(sqrt(9) - ((sqrt(9) + sqrt(324) - sqrt(9)) + sqrt(9))))**2 - (-4*(-1 + sqrt(72) - sqrt(72))*1)**2)*6.
6601/3
Simplify -6*(4 + (4 + sqrt(448) + -4*sqrt(448)*2 - -2*(-4 + (sqrt(448) - sqrt(448)*2))))**2.
-217728
Simplify -5 + ((sqrt(304) - (sqrt(304) + 2))**2 + -2 - sqrt(304)) + (2*(sqrt(76) - sqrt(76)*-2 - sqrt(76)))/sqrt(4) + 2.
-1
Simplify (((sqrt(459) - sqrt(51))*4 - (-2*sqrt(510))/sqrt(10))*-2)/(sqrt(3) + 2*sqrt(243) + sqrt(3) - (sqrt(15)/sqrt(5)*4 - sqrt(3))).
-20*sqrt(17)/17
Simplify 2*3*(sqrt(2) - (2 + sqrt(2) + 2))*-2 - -1*(sqrt(4)/(sqrt(14)/sqrt(7)) + sqrt(10)/(sqrt(5)*2)).
3*sqrt(2)/2 + 48
Simplify 5*(((sqrt(220) + (sqrt(220) - (sqrt(220) - sqrt(220)*-2)*5 - sqrt(220)))/(sqrt(396)*1))/(sqrt(12)/sqrt(3)*2*2*3))**2.
1225/1296
Simplify (sqrt(2299) + 4 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 2)) - 1*sqrt(2299)*-2)**2 - (5*-1*sqrt(152) - sqrt(152))/(sqrt(72)*-4).
351*sqrt(19)/2 + 36788
Simplify 3*-3*(sqrt(17) + 1 + 4 + (-1*sqrt(204))/sqrt(12) + (sqrt(17) - ((-2*sqrt(612))**2 - sqrt(612))) + -2).
-63*sqrt(17) + 22005
Simplify (6*(sqrt(192)*-4*-5*2 + (sqrt(192) + sqrt(192)*-4 + sqrt(192) + 0 + sqrt(192))*-2))**2.
12192768
Simplify -2 + ((-2 + 2 + sqrt(1331))*-5)**2 + ((-3*sqrt(1331)*2)**2 - (sqrt(1331) - (sqrt(1331) + -2 + -5))**2).
81140
Simplify -6*-4*(sqrt(3168) + -2*sqrt(3168))/(sqrt(24)/sqrt(1452) + sqrt(2)).
-264*sqrt(11)
Simplify -6*(sqrt(364)/sqrt(7)*1 + 1 + sqrt(2548) - (sqrt(416)/(sqrt(56)/sqrt(7)) + sqrt(52) + sqrt(156)/(sqrt(18)/sqrt(6)))).
-60*sqrt(13) - 6
Simplify (sqrt(114) - (-6*-2*sqrt(114) + sqrt(114)))/(5*-1*sqrt(6)) + (0 + (sqrt(76) + -1)**2)*3.
-48*sqrt(19)/5 + 231
Simplify (-5*sqrt(800)/sqrt(2)*-3)/((1*(sqrt(405) - sqrt(45)))/((sqrt(252)/sqrt(4) + sqrt(63))/sqrt(7))).
60*sqrt(5)
Simplify sqrt(288)/sqrt(324)*-4 - (sqrt(10) - (2*sqrt(90) + sqrt(90)))/((sqrt(20) + sqrt(40)/sqrt(2))/sqrt(4)).
4*sqrt(2)/3
Simplify (-4*((5*-1*sqrt(2057) - sqrt(2057)) + ((sqrt(2057) - (sqrt(2057) + -1)) + -3 - sqrt(2057))) + 1 + (-1*sqrt(2057) + -3 - (-5 + sqrt(2057)*2)))**2*-2.
-2571492 - 12100*sqrt(17)
Simplify (sqrt(275)*2*-4*-3*-6)**2 + ((sqrt(88) - (-3*sqrt(88)*2 - sqrt(88) - sqrt(88))) + sqrt(88))/(sqrt(96)/sqrt(3)).
5*sqrt(11) + 5702400
Simplify -3*(5 + ((-2*-2*sqrt(1872) + sqrt(1872))*3 + -5*(sqrt(1872) - (sqrt(1872)*-1 + sqrt(1872)))*6)**2)*2.
-2527230
Simplify ((sqrt(100) - sqrt(100)*2)/sqrt(10) - (sqrt(1000)*3 - sqrt(1000)))/(6*(sqrt(2) - sqrt(4)/sqrt(2)*3 - 1*1*sqrt(2))).
7*sqrt(5)/6
Simplify (sqrt(380)/(sqrt(80)/sqrt(512)))/(2*(sqrt(98) + sqrt(98)*3))*2 + -1.
-1 + 2*sqrt(19)/7
Simplify -4*(-1 + -4*((sqrt(700) + 2)*4)**2 + 1*sqrt(700)*2 + ((sqrt(700) + -2 + sqrt(700))*-5 - sqrt(700) - sqrt(700) - sqrt(700))**2).
-293372 + 20560*sqrt(7)
Simplify (4*(-2 + sqrt(68))*-3 - ((1*sqrt(68)*-6 - sqrt(68)) + sqrt(68) + 1))**2.
-552*sqrt(17) + 2977
Simplify (((sqrt(5) + -1 + 0 - (-3 + sqrt(5))*4) + (sqrt(495) - 2*sqrt(495))/(sqrt(88)/(sqrt(8) - 2*sqrt(8))))*4)**2.
1936
Simplify (-4 + sqrt(8)/(2*sqrt(16)) + 5 + 2*sqrt(4608) + 0 + 2)**2.
1155*sqrt(2)/2 + 148297/8
Simplify sqrt(11) + (4 + sqrt(11))*1 - (sqrt(99) + 1*sqrt(99))**2 - (sqrt(704) + 4 + -2 + sqrt(704) - sqrt(704)*-1*-4)**2.
-3212 + 66*sqrt(11)
Simplify ((sqrt(720)*-3 + 2)**2 + -1 - (5 + (sqrt(720) - (4 + sqrt(720) + 2)))**2)*-2.
-12964 + 288*sqrt(5)
Simplify 6*((5*(sqrt(162) - (sqrt(162) + -1 + 5)) + -2)**2 - (-1*(1 + sqrt(162) - sqrt(162)) + sqrt(162))**2*5*-2).
-1080*sqrt(2) + 12684
Simplify (4*(sqrt(209) + -1*sqrt(209)*-5 + 2*sqrt(209)*1))/(sqrt(11) + sqrt(891) + 3*sqrt(891) - ((sqrt(66) - -2*sqrt(66)) + sqrt(66) - sqrt(66))/sqrt(6)).
16*sqrt(19)/17
Simplify ((3*1*sqrt(96) - sqrt(96))/((sqrt(96) + sqrt(24))/sqrt(6)))/((sqrt(108) + (sqrt(108) - 1*sqrt(108)*-2))/sqrt(9)*-5).
-sqrt(2)/30
Simplify ((1*6*(sqrt(972)*2 + sqrt(972))*-2)/(sqrt(44)/(sqrt(11) - -1*sqrt(11))*-5 + (sqrt(196) + -1*sqrt(196) - sqrt(196))*-4))**2.
139968/289
Simplify 2*(-5*sqrt(171)/sqrt(9)*1 + -2*(-3 + sqrt(133)/sqrt(7)))*4.
-56*sqrt(19) + 48
Simplify ((2 + sqrt(539)*-3 + -4 + 2 + (-2 + sqrt(539) - sqrt(539) - sqrt(539)) + -1)*5)**2.
4200*sqrt(11) + 215825
Simplify (2 + (sqrt(448) + 1)*5 + -1*sqrt(448)*-6)**2*5*-5.
-1356425 - 30800*sqrt(7)
Simplify 3 + ((sqrt(120)*-1*-4)/(sqrt(96)/(sqrt(8)*-2)))/(-2*5*(sqrt(8)*1 - sqrt(2))).
4*sqrt(5)/5 + 3
Simplify -6*(1 + 5*sqrt(1584)*1*-5 + 0)**2.
-5940006 + 3600*sqrt(11)
Simplify (-4*(sqrt(80)/sqrt(2)*1 - sqrt(160)*4)/((sqrt(8) - sqrt(24)/sqrt(3)*-5)*1))**2.
980/9
Simplify 2*(((sqrt(19)*2*-5 - sqrt(19)) + 3*(sqrt(19) + sqrt(19) + sqrt(95)/sqrt(5)))**2 - ((1 + sqrt(684))*-6)**2) + 0.
-49168 - 864*sqrt(19)
Simplify (5*(-4 + 1 + (sqrt(931) - (sqrt(931)*1 + 2) - ((-4 + (1 + sqrt(931) - sqrt(931)) - sqrt(931)) + sqrt(931))) + 3))**2.
25
Simplify -3*(sqrt(6300) + -4 + (sqrt(7) + (2*sqrt(77))/sqrt(11) + sqrt(7) + sqrt(7))*-3 + 1)**2.
-4752 + 270*sqrt(7)
Simplify -6*((2*3*(sqrt(847) + 1) + 3)**2 + 3 + -6*sqrt(847)*-2 + -1).
-183450 - 7920*sqrt(7)
Simplify ((3 + -3*sqrt(1900))*-2)**2 + (sqrt(76)*-1 + 5 + sqrt(76) + 2 + sqrt(76) + 5)**2 + -1.
-672*sqrt(19) + 68655
Simplify ((5*sqrt(65)*-1 + -5*(sqrt(65) - -2*sqrt(65)))*6)/(sqrt(605) + 2*sqrt(605)*-6 - (sqrt(605) - -2*sqrt(605))*4).
120*sqrt(13)/253
Simplify (3 + 2*(1*-3*sqrt(2) - sqrt(2)))**2 + 5*6*((3*sqrt(2))**2 - sqrt(2))*6.
-228*sqrt(2) + 3377
Simplify ((6*(1*sqrt(228)*6 - (sqrt(228) - (sqrt(228) - sqrt(228)*-2))*2))/(sqrt(12) + sqrt(48)*3 + sqrt(48) - sqrt(60)/sqrt(5)*1))**2.
4275/4
Simplify (6*sqrt(176)*-4 + sqrt(176) + (-1 + sqrt(176) + -5 - sqrt(176)) + (sqrt(176) - (-2 + sqrt(176) + 0)) + 2 + 2)**2.
93104
Simplify -6*(-3*sqrt(56) - sqrt(14))/(sqrt(2) + sqrt(22)/(sqrt(22)/sqrt(2))) + (sqrt(84)/(-4*sqrt(4)) + sqrt(21))/(sqrt(3) + sqrt(12)/sqrt(4)*-4).
83*sqrt(7)/4
Simplify (-2 + sqrt(1584)*-2 + -2)**2 - -5*(-6*sqrt(110)*-5)/sqrt(10).
342*sqrt(11) + 6352
Simplify (2*(-3 + sqrt(208) + 3) + (0 + 0 + sqrt(208) + sqrt(208) - (-2 + -1 + sqrt(208))))**2 + 5.
72*sqrt(13) + 1886
Simplify ((4 + (sqrt(704) + -1*sqrt(704)*1 + sqrt(704))*2 + ((sqrt(704) - sqrt(704)*-2)*6 - sqrt(704)) + 5)*1 + 4)**2.
3952*sqrt(11) + 254313
Simplify (3*(sqrt(1872)*-2)**2 - (-1*(sqrt(1872) + 1 + sqrt(1872)) + sqrt(1872))**2)*-6 + (-2*(1 + sqrt(1872) + sqrt(1872) + 2))**2*-1.
-153534 - 432*sqrt(13)
Simplify (1 + sqrt(684) - sqrt(684))**2*-5 + 5 + 1*(-6*-1*sqrt(133))/sqrt(7).
6*sqrt(19)
Simplify ((1 + (sqrt(1300) - (sqrt(1300) - sqrt(1300)*1)) + sqrt(1300) + 1)*-3)**2 + (0 + ((sqrt(1300)*-3)**2 - sqrt(1300)) - (sqrt(1300)*1 + -3)**2).
770*sqrt(13) + 57227
Simplify ((1*sqrt(190)*-1 - (sqrt(190) - -2*sqrt(190))*-6)*5)/(6*sqrt(1000)*1*6).
17*sqrt(19)/72
Simplify 5*(((sqrt(1053) + 1 + 5 - 2*sqrt(1053)*3)*-2)**2 + 1 + -2).
-10800*sqrt(13) + 527215
Simplify (((sqrt(2200)*-2 + sqrt(2200) | {
"pile_set_name": "DM Mathematics"
} |
461828, -692744, -923658, -1154570?
x**2 - 230921*x + 10
What is the a'th term of -946539981, -946539983, -946539985, -946539987, -946539989?
-2*a - 946539979
What is the y'th term of 352477, 704951, 1057425, 1409899, 1762373?
352474*y + 3
What is the q'th term of 773331, 773843, 774705, 775923, 777503, 779451, 781773?
q**3 + 169*q**2 - 2*q + 773163
What is the w'th term of 10184, -1674, -13522, -25354, -37164, -48946, -60694?
w**3 - w**2 - 11862*w + 22046
What is the b'th term of 376, 9074, 32794, 79048, 155348, 269206, 428134, 639644?
1252*b**3 - b**2 - 63*b - 812
What is the n'th term of -991989, -991982, -991971, -991956?
2*n**2 + n - 991992
What is the q'th term of 8190, 7853, 7504, 7137, 6746, 6325, 5868, 5369?
-q**3 - 330*q + 8521
What is the k'th term of -1165, -2846, -7045, -15022, -28037?
-210*k**3 + k**2 - 214*k - 742
What is the c'th term of 7765, 15465, 23065, 30535, 37845?
-5*c**3 - 20*c**2 + 7795*c - 5
What is the z'th term of 12337277, 12337255, 12337233, 12337211?
-22*z + 12337299
What is the s'th term of 1365807, 1365773, 1365739, 1365705, 1365671?
-34*s + 1365841
What is the f'th term of -35421342, -70842661, -106263980?
-35421319*f - 23
What is the f'th term of 30108, 56038, 81968, 107898?
25930*f + 4178
What is the q'th term of -25660, -24520, -23380, -22240, -21100?
1140*q - 26800
What is the t'th term of -603762, -603731, -603678, -603603?
11*t**2 - 2*t - 603771
What is the z'th term of -410935, -410947, -410959, -410971?
-12*z - 410923
What is the v'th term of -228, -192, -80, 108?
38*v**2 - 78*v - 188
What is the s'th term of -5209453, -10418932, -15628411, -20837890, -26047369?
-5209479*s + 26
What is the v'th term of 1744616, 3489247, 5233878, 6978509, 8723140?
1744631*v - 15
What is the i'th term of -2189943, -4379832, -6569721?
-2189889*i - 54
What is the i'th term of 2813245, 5626445, 8439645, 11252845, 14066045, 16879245?
2813200*i + 45
What is the u'th term of 964516, 964509, 964498, 964483, 964464?
-2*u**2 - u + 964519
What is the w'th term of -151690, -303406, -455126, -606850, -758578, -910310, -1062046?
-2*w**2 - 151710*w + 22
What is the b'th term of 2193, 2754, 3311, 3864, 4413, 4958, 5499?
-2*b**2 + 567*b + 1628
What is the z'th term of -1008500, -2016993, -3025478, -4033955, -5042424?
4*z**2 - 1008505*z + 1
What is the a'th term of 167, 407, 719, 1109, 1583, 2147?
a**3 + 30*a**2 + 143*a - 7
What is the a'th term of -2641, -10310, -23089, -40978, -63977, -92086, -125305?
-2555*a**2 - 4*a - 82
What is the g'th term of -1770, -3800, -6118, -8718, -11594, -14740?
g**3 - 150*g**2 - 1587*g - 34
What is the x'th term of 13631, 54409, 122369, 217511, 339835, 489341, 666029?
13591*x**2 + 5*x + 35
What is the b'th term of -12915, -12934, -12939, -12930?
7*b**2 - 40*b - 12882
What is the u'th term of -66253, -132300, -198347, -264394?
-66047*u - 206
What is the x'th term of -360159150, -360159145, -360159138, -360159129, -360159118, -360159105, -360159090?
x**2 + 2*x - 360159153
What is the p'th term of 7272210, 7272231, 7272252?
21*p + 7272189
What is the f'th term of 100530, 97940, 95350, 92760, 90170?
-2590*f + 103120
What is the m'th term of 42856, 85786, 128722, 171664, 214612?
3*m**2 + 42921*m - 68
What is the m'th term of -3528150, -7056297, -10584444, -14112591, -17640738, -21168885?
-3528147*m - 3
What is the d'th term of 150620, 301381, 452142?
150761*d - 141
What is the x'th term of 1665019, 3330039, 4995067, 6660103, 8325147?
4*x**2 + 1665008*x + 7
What is the k'th term of -259260, -259612, -259964, -260316?
-352*k - 258908
What is the a'th term of -185631, -185668, -185705?
-37*a - 185594
What is the l'th term of 2772, 1170, -1550, -5394, -10368, -16478, -23730?
-l**3 - 553*l**2 + 64*l + 3262
What is the p'th term of 2445, 4954, 7463?
2509*p - 64
What is the a'th term of 17866, 14109, 10354, 6601, 2850, -899?
a**2 - 3760*a + 21625
What is the c'th term of 4346, 8740, 16054, 26282, 39418, 55456?
-c**3 + 1466*c**2 + 3*c + 2878
What is the s'th term of -316, 5819, 11954, 18089?
6135*s - 6451
What is the p'th term of -15, -523, -1443, -2769, -4495, -6615, -9123?
p**3 - 212*p**2 + 121*p + 75
What is the i'th term of -45841, -91714, -137527, -183280, -228973, -274606?
30*i**2 - 45963*i + 92
What is the z'th term of 63566534, 63566536, 63566538, 63566540, 63566542?
2*z + 63566532
What is the g'th term of -371092, -742014, -1112764, -1483342, -1853748, -2223982?
86*g**2 - 371180*g + 2
What is the l'th term of 100629, 201248, 301867, 402486, 503105, 603724?
100619*l + 10
What is the j'th term of 22, -434, -1194, -2258, -3626?
-152*j**2 + 174
What is the a'th term of 1904812, 3809612, 5714390, 7619134, 9523832?
-2*a**3 + a**2 + 1904811*a + 2
What is the m'th term of 54305, 106150, 157995, 209840, 261685, 313530?
51845*m + 2460
What is the x'th term of 274767118, 549534232, 824301348, 1099068466, 1373835586, 1648602708?
x**2 + 274767111*x + 6
What is the r'th term of -30931281, -30931269, -30931257, -30931245?
12*r - 30931293
What is the o'th term of 7720, 15530, 23338, 31138, 38924, 46690, 54430, 62138?
-o**3 + 5*o**2 + 7802*o - 86
What is the x'th term of -721, -714, -703, -682, -645?
x**3 - 4*x**2 + 12*x - 730
What is the g'th term of 2073633, 8294476, 18662533, 33177804, 51840289, 74649988?
2073607*g**2 + 22*g + 4
What is the u'th term of 120233, 120242, 120251?
9*u + 120224
What is the h'th term of 6047563, 12095077, 18142589, 24190099, 30237607, 36285113, 42332617?
-h**2 + 6047517*h + 47
What is the x'th term of 1319455, 1319380, 1319257, 1319086, 1318867, 1318600?
-24*x**2 - 3*x + 1319482
What is the u'th term of 365, 104, -439, -1258, -2347?
u**3 - 147*u**2 + 173*u + 338
What is the y'th term of 425417, 425249, 425081, 424913, 424745, 424577?
-168*y + 425585
What is the a'th term of 2115417, 2115407, 2115407, 2115417, 2115437?
5*a**2 - 25*a + 2115437
What is the u'th term of 1714, 1714, 1736, 1780, 1846, 1934, 2044?
11*u**2 - 33*u + 1736
What is the h'th term of 37785440, 75570898, 113356356, 151141814?
37785458*h - 18
What is the t'th term of 46915, 93742, 140483, 187138?
-43*t**2 + 46956*t + 2
What is the f'th term of -308, 60, 918, 2266?
245*f**2 - 367*f - 186
What is the m'th term of 541243, 1082251, 1623277, 2164327, 2705407, 3246523, 3787681?
m**3 + 3*m**2 + 540992*m + 247
What is the q'th term of -61790, -58087, -51906, -43241, -32086, -18435, -2282?
q**3 + 1233*q**2 - 3*q - 63021
What is the t'th term of -759, -1414, -1997, -2520, -2995, -3434, -3849?
-2*t**3 + 48*t**2 - 785*t - 20
What is the w'th term of -276724, -553467, -830222, -1106989, -1383768, -1660559, -1937362?
-6*w**2 - 276725*w + 7
What is the m'th term of -18319, -41140, -63963, -86788?
-m**2 - 22818*m + 4500
What is the o'th term of 29384, 28773, 28162, 27551?
-611*o + 29995
What is the n'th term of 19942, 21055, 22204, 23407, 24682, 26047, 27520?
3*n**3 + 1092*n + 18847
What is the f'th term of 2135079, 2135073, 2135067, 2135061, 2135055?
-6*f + 2135085
What is the q'th term of 1807, 14480, 48827, 115660, 225791, 390032, 619195?
1802*q**3 + 25*q**2 - 16*q - 4
What is the s'th term of -1646, -13229, -44650, -105821, -206654, -357061, -566954, -846245?
-1652*s**3 - 7*s**2 + 2*s + 11
What is the f'th term of 21628, 40319, 59010, 77701, 96392, 115083?
18691*f + 2937
What is the h'th term of -50775212, -50775211, -50775210, -50775209, -50775208?
h - 50775213
What is the b'th term of 7589, 13719, 30351, 62735, 116121, 195759, 306899?
875*b**3 + b**2 + 2*b + 6711
What is the n'th term of -351, -3983, -10057, -18579, -29555, -42991, -58893?
-n**3 - 1215*n**2 + 20*n + 845
What is the n'th term of 8176, 8150, 8124, 8098, 8072?
-26*n + 8202
What is the x'th term of -1021268, -1021274, -1021284, -1021298, -1021316?
-2*x**2 - 1021266
What is the g'th term of -24219, -96962, -218195, -387918, -606131?
-24245*g**2 - 8*g + 34
What is the w'th term of 52367, 52388, 52413, 52442, 52475, 52512?
2*w**2 + 15*w + 52350
What is the y'th term of 315, 64, -597, -1866, -3941?
-33*y**3 - 7*y**2 + y + 354
What is the k'th term of -8502073, -34008290, -76518653, -136033162, -212551817, -306074618, -416601565?
-8502073*k**2 + 2*k - 2
What is the z'th term of 7433, 7356, 7281, 7208?
z**2 - 80*z + 7512
What is the k'th term of -442142, -884281, -1326420, -17 | {
"pile_set_name": "DM Mathematics"
} |
- 66*t. What is the remainder when 88 is divided by t?
0
Let r(g) = 6*g - 6. Let x(h) = h**3 - 9*h**2 + 9*h + 2. Let a be -8*(0 - -4)/(-4). Calculate the remainder when r(4) is divided by x(a).
8
Let n = -19 + 18. Let i(h) = -74*h**3 - h - 2. Calculate the remainder when i(n) is divided by 38.
35
Let d = -45 + 42. Let b = d - -35. Calculate the remainder when 60 is divided by b.
28
Calculate the remainder when (1080/15)/(12/30) is divided by 61.
58
Let p(m) = -m**3 - 8*m**2 + 22*m + 66. What is the remainder when p(-13) is divided by 19?
17
Let p = 5 + -4. Let k(j) = 35*j**3 - 2*j**2 + j. Calculate the remainder when k(p) is divided by 6*(-2)/3 + 13.
7
Suppose -3*v - 13 - 5 = 0. Let k = -2 - v. Let a(y) = 12*y - 5. What is the remainder when a(k) is divided by 11?
10
Suppose -3*d - d - 5*b = -75, 0 = -d + 5*b + 50. Suppose -2*z + 20 = o, o + 2*z = -z + d. Calculate the remainder when 18 is divided by o.
8
Let u(t) = 2*t**2 + 6*t - 6. What is the remainder when 65 - 8*(34/(-8) + 4) is divided by u(-5)?
11
Let g = -190 - -198. What is the remainder when 103 is divided by g?
7
Let x be 122/(-3) - (-3)/(-9). Let z(y) = y**2 - y - 21. Let d be z(0). Let o = d - x. Calculate the remainder when 37 is divided by o.
17
Suppose -3*r = w + 5, 3*r + 14 - 2 = 0. Calculate the remainder when 47 is divided by w.
5
Let k = 102 + -53. Let o(y) = -2*y**3 - 14*y**2 - 15*y - 5. Suppose 15 = 5*p + 45. What is the remainder when k is divided by o(p)?
10
Let i = -15 - -57. Suppose -8*y + 2*y = -i. Calculate the remainder when 19 is divided by y.
5
Suppose -5*y - 6 = -101. What is the remainder when 146 is divided by y?
13
Let n(g) = -g. Let j(r) = r**2 + 11*r + 13. Let i be j(-9). Let k be n(i). Let a(q) = q + 3. What is the remainder when 30 is divided by a(k)?
6
Suppose 3*w - 2 = b, 3*w = -b - 2*b + 6. Suppose 2*d - 36 = -2*h, -d - b = -2*h - 28. Calculate the remainder when d is divided by 6.
3
Suppose 0 = -2*s + t - 4, 0*t - 4 = -2*s - 3*t. What is the remainder when s/(3 + -6 + 2)*13 is divided by 5?
3
Suppose -97 = 5*b + 3*q - 702, 2*b - 5*q = 242. Calculate the remainder when b is divided by 19.
7
Suppose 3*p = 4*v - 164, 5*v + 5*p - 2*p - 232 = 0. Calculate the remainder when v is divided by 3.
2
Suppose -4*k = -0 + 28. Let a(v) = v**3 + 10*v**2 + 18*v + 14. Calculate the remainder when a(k) is divided by 4.
3
Let r = 51 - 35. Suppose 5*c - 97 + 154 = h, c - 311 = -5*h. What is the remainder when h is divided by r?
14
Let b(r) be the second derivative of r**3/6 - 5*r. Let v be b(4). Suppose -2*q + 4*z = -14, 3*q - v*z - 26 = -5. Calculate the remainder when q is divided by 4.
3
Suppose 28 = o + 199. Calculate the remainder when ((o/(-3))/(-3))/(1 - 2) is divided by 5.
4
Suppose 3*v + 3*t = -2*v - 24, -3*v + 2*t - 22 = 0. Let u(j) = 6*j + 41. Calculate the remainder when 37 is divided by u(v).
2
Let g(j) = 42*j**2 + 2*j + 1. Let o(m) = -m. Let b be o(-5). Suppose b*n = 81 - 26. What is the remainder when g(-1) is divided by n?
8
Suppose -2*z - c = 53, -5*c - 95 = 5*z + 50. Calculate the remainder when 97 is divided by 28/(6/(-15) + z/(-10)).
13
Let m(k) = -k + 6. Let v be m(6). Suppose -i + 3 - 2 = v. What is the remainder when 48 is divided by i + (-4 + 0 - -20)?
14
Let w = 881 - 869. Let q = 3 - -17. Suppose -q = -k - 3*k. What is the remainder when w is divided by k?
2
Let n(g) = 29*g**2 - 3*g - 5. Let f be n(-2). Suppose 58 = -f*l + 119*l. Calculate the remainder when l is divided by 8.
5
Let c = 297 - 286. What is the remainder when 19 is divided by c?
8
Let v(k) = -k**2 - k + 3. Let g be v(-3). Let w = -8 - -11. What is the remainder when 6/(5/((-20)/g)) is divided by w?
2
Suppose -r - 528 = -12*r. Calculate the remainder when r is divided by 7.
6
Suppose -2*g + g + 5*z + 147 = 0, 3*z = 5*g - 757. Calculate the remainder when g is divided by 14.
12
Let v = 291 + -288. What is the remainder when 10 is divided by v?
1
Let x(b) = -50*b. Let i be x(-2). Let s be i/15 + (-3)/(-9). Let f = 22 + s. What is the remainder when f is divided by 10?
9
Let u(z) = -5*z**2. Let h be u(1). Let n = 1 + h. What is the remainder when 5 is divided by (n/8)/(2/(-16))?
1
Let s = 72 + -28. Let u = 397 - 374. What is the remainder when s is divided by u?
21
Let w = 2668 + -2076. What is the remainder when w is divided by 9?
7
Let m(t) = -t + 23. Suppose 3*j + 30 = -3*z, z + 4*z - 85 = 4*j. Let l = -22 - -32. What is the remainder when m(j) is divided by l?
8
Suppose 0 = -b - 0*f + 2*f + 23, 0 = -5*f. Let w = -302 + 312. Calculate the remainder when b is divided by w.
3
Suppose -5*d + 1 = -14, -5*m + 104 = 3*d. Suppose m*j + 145 = 24*j. What is the remainder when j is divided by 16?
13
Let i = -16 - -12. Let y be ((-5)/2)/((-2)/i). Let w(t) = -2*t. What is the remainder when 19 is divided by w(y)?
9
Let q = 49 + -49. Suppose -r = t + 3*r - 167, -t + 3*r + 188 = q. What is the remainder when t is divided by 36?
35
Suppose -k = t + 3*k + 4, -t + k = -6. Suppose -2*c + 83*c = -72*c + 10710. What is the remainder when c is divided by t?
2
Let o(j) = 16*j + 11. Let s(f) = f**2 + f. Let k(v) = -o(v) + 2*s(v). What is the remainder when 12 is divided by k(8)?
2
Suppose -4*s + 336 = 4*v, 0 = -v - 2*s - 2*s + 87. What is the remainder when 912 is divided by v?
82
Suppose 2*r = 5*p + 77, -r + p - 12 = -55. Let q be 6/(-8) - (-154)/(-8). Let y = 4 - q. Calculate the remainder when r is divided by y.
22
Suppose 7*v + 79 = -117. Let i = v - -37. Suppose 5*x - 4 = 3*x. What is the remainder when i is divided by x?
1
Let h(d) = -d + 0 - 1 + 5*d**2 + 3. Suppose -v - 2*s - 6 + 0 = 0, 29 = v - 5*s. Calculate the remainder when h(v) is divided by 27.
24
Calculate the remainder when 1640/24 - (-10)/6 is divided by 13.
5
Let q = 14 + -6. Let x = 2 - -2. Suppose x*m + 34 = 118. Calculate the remainder when m is divided by q.
5
Let h be (-68)/(-18) + 6/27 - -226. Suppose 0 = -8*o + h + 274. Calculate the remainder when o is divided by 11.
8
Let m = 39 + 16. Let z(v) = -2*v**3 - 5*v**2 - 3*v - 4. What is the remainder when m is divided by z(-3)?
13
Suppose -12*s + 1910 = -2542. What is the remainder when s is divided by 22?
19
What is the remainder when 285 is divided by (-29141)/(-905) - ((-9)/5 + 2)?
29
Suppose 103 = 2*o + a, -2*a + 53 = o - a. Calculate the remainder when o is divided by 26.
24
Let m = 266 + -235. What is the remainder when 835 is divided by m?
29
Let a = 2363 - 1276. What is the remainder when a is divided by 10?
7
Suppose -5*r + 0*u = 4*u - 76, -3*u = r - 24. What is the remainder when 45 is divided by r?
9
Suppose 671 = 20*l - 129. Calculate the remainder when 278 is divided by l.
38
Let y = 10 + 4. Suppose -y*n = -12*n - 70. Calculate the remainder when n is divided by 12.
11
Let o(r) = -r**3 + 6*r**2 + 4*r + 8. Calculate the remainder when 356 is divided by o(0).
4
What is the remainder when (-6)/8 + (-2230)/(-40) is divided by 21?
13
Let v = 48 + -21. Calculate the remainder when 18 is divided by (-12)/30 - v/(-5).
3
Suppose 0 = -3*s + 2*s + 18. Let h = s - 14. Suppose m = 26 - h. What is the remainder when 43 is divided by m?
21
Let s = -19 - -7. Let t(b) = -b + 2. What is the remainder when (135/s)/((-18)/48) is divided by t(-6)?
6
Let h(o) = -o**3 + 7*o**2 + 22*o - 37. Calculate the remainder when h(7) is divided by 15.
12
Let x = 64 + -50. What is the remainder when 83 is divided by x?
13
Suppose m = -2*y + 150, -2*y - 11*m + 15*m + 140 = 0. What is the remainder when 1922 is divided by y?
72
Let i(p) = -p**3 + p**2 - 2*p + 18. What is the remainder when i(0) is divided by 7?
4
Calculate the remainder when (-47304)/(-81) + (0 - -10) is divided by 60.
54
Let k(m) = -m**3 - 5*m**2 + 27*m + 134. Suppose -o + 5*a = -65, 0*o - 2*a = o - 51. Calculate the remainder when o is divided by k(-6).
7
Suppose -3*a + 0*a = -21. Let t(b) = b**2 - 7*b - 3. Let n be t(8). Suppose p = -n*p + 66. What is the remainder when p is divided by a?
4
Let s = -27 - -63. Calculate the remainder when 143 is divided by s.
35
Let h be 1 + 0/(4 - 0) + 56. Suppose -h = 21*q - 24*q. What is the remainder when 89 is divided by q?
13
Suppose -g + 5*q + 167 + 69 = 0, 0 = 2*g + 2*q - 484. Calculate the remainder when g is divided by 27.
25
Let r(q) = q**2 + 29*q - 144. Let s = 32 + -22. Calculate the re | {
"pile_set_name": "DM Mathematics"
} |
2 - 1960*x**2 + 6*x.
-20*x**2 + x
Collect the terms in 2 - 4276*d**3 + 2061*d**3 + 2165*d**3.
-50*d**3 + 2
Collect the terms in -2*s + 2*s - 16330953596*s**3 + 16330953562*s**3.
-34*s**3
Collect the terms in -258*g + 514 + 916 - 1430.
-258*g
Collect the terms in 38*f + 44*f - 214 + 214 + 52*f - 133*f.
f
Collect the terms in 15*n + 30*n + 29776 - 29762.
45*n + 14
Collect the terms in 173516*w**2 - 308155*w**2 - 409837*w**2 - 11089*w**2 + 2*w.
-555565*w**2 + 2*w
Collect the terms in -2 + j**2 + 2*j**2 - 2*j**3 - 4*j**2 + 31343*j.
-2*j**3 - j**2 + 31343*j - 2
Collect the terms in 43*r**2 - r**3 + r - 1280 + r - 43*r**2.
-r**3 + 2*r - 1280
Collect the terms in -1164*y - 740899 + 1481791 - 740892.
-1164*y
Collect the terms in -1562*a + 1558*a - 29073*a**3 + 29164*a**3.
91*a**3 - 4*a
Collect the terms in 2*j - 16542 - 16403 + 32908.
2*j - 37
Collect the terms in -269*w + 2*w**2 - 355 + 174 + 649*w + 185.
2*w**2 + 380*w + 4
Collect the terms in -4470*z**3 - 14889*z**3 - 5559*z**3.
-24918*z**3
Collect the terms in 3 + 2*n**2 + 928917*n - 930610*n - 3.
2*n**2 - 1693*n
Collect the terms in -3197 + 2501*r**2 + 1081*r**2 + 3198 - 693*r**2 + 32*r.
2889*r**2 + 32*r + 1
Collect the terms in 58699*z**2 - 6962*z**2 + 49427*z**2 + 458*z**2.
101622*z**2
Collect the terms in 102*c**2 + 1291 - 2270 + 979 + 46*c**2.
148*c**2
Collect the terms in 141779 - 70897 - 70883 - 2*c**3 + 5*c**3.
3*c**3 - 1
Collect the terms in 52288*m + 24511*m + 34082*m.
110881*m
Collect the terms in -3*z**2 - 169*z - 6*z**2 + 123*z + 74*z.
-9*z**2 + 28*z
Collect the terms in -9*u - 196*u**3 + 122*u**3 + 5*u**3 + 51*u**3.
-18*u**3 - 9*u
Collect the terms in 17879691 - 17879691 - 243*x**3.
-243*x**3
Collect the terms in 7051*o - 3 + 2204*o + 267*o.
9522*o - 3
Collect the terms in 9 - 2 + 34 + 15445*i**2 - 15358*i**2.
87*i**2 + 41
Collect the terms in -11*y**3 + 959523320096 - 959523320096.
-11*y**3
Collect the terms in -45 + 13 + 17 + 3*x**2 + 21 - 6.
3*x**2
Collect the terms in -5776309*s**3 - 5776162*s**3 + 11552524*s**3.
53*s**3
Collect the terms in -2795 + 695 + 705 + 20*b + 693 + 702.
20*b
Collect the terms in 31192*f**2 + 12650*f**2 - 13688*f**2 + 32375*f**2.
62529*f**2
Collect the terms in -2 - 20813*l + 41581*l - 20798*l.
-30*l - 2
Collect the terms in -281*f**2 + 66*f**2 + 82*f**2 - 1 + 9 + 70*f**2 + 68*f**2.
5*f**2 + 8
Collect the terms in -593 + 1186 - 595 + 8407*y.
8407*y - 2
Collect the terms in 950337*v**2 - 316793*v**2 - 316803*v**2 - 316754*v**2.
-13*v**2
Collect the terms in -407*i**2 - 402*i**2 + 647*i**2 + 161*i**2.
-i**2
Collect the terms in -8198528*q**2 + 0*q - 4*q + 4*q.
-8198528*q**2
Collect the terms in 17203408*v**3 + 3*v - 8601838*v**3 - 3*v - 8601550*v**3.
20*v**3
Collect the terms in -5 + 11 - 6 - 242*k + 55*k + 163*k.
-24*k
Collect the terms in -4161*r**2 - 11154*r**2 + 94623*r**2.
79308*r**2
Collect the terms in 21*l + 34*l - 5 + 6 + 17*l - 2.
72*l - 1
Collect the terms in -8953*i**3 + 75*i + 4482*i**3 + 4587*i**3.
116*i**3 + 75*i
Collect the terms in 6162*x**2 - 3081*x**2 - 3083*x**2 + 908.
-2*x**2 + 908
Collect the terms in -596*m**3 - 550*m**3 + 2693*m**3.
1547*m**3
Collect the terms in -38 + 8*c**2 + 5*c**2 - 16*c**2 + 110 - 116.
-3*c**2 - 44
Collect the terms in -7425 - 3585 + 3212 - 2*v**2.
-2*v**2 - 7798
Collect the terms in -73*n + 33*n + 10*n**3 + 31*n - 3*n + 7*n.
10*n**3 - 5*n
Collect the terms in -150 + 15670*f + 23639*f + 74 + 78.
39309*f + 2
Collect the terms in 1822*q**3 - 2032*q**3 + 202*q**3 + 0*q + 0*q + 0*q.
-8*q**3
Collect the terms in m**3 - 2*m**2 - 6*m**3 - 4210*m + 4210*m + 5*m**2 - 228.
-5*m**3 + 3*m**2 - 228
Collect the terms in 28*v**2 + 19240 - 19230 - 27*v**2.
v**2 + 10
Collect the terms in -329*r + 43*r + 95*r + 193*r.
2*r
Collect the terms in 4038544016*v + 4038544036*v - 8077088082*v.
-30*v
Collect the terms in h**2 - 3*h**2 + 5*h**2 - 1 + 115331627*h - 115331627*h.
3*h**2 - 1
Collect the terms in -4 + 13*j + 4 + 60*j + 42*j - 15*j.
100*j
Collect the terms in -1797*u + 3564*u - 35 - 1769*u.
-2*u - 35
Collect the terms in 639*q + 26849 - 13440 - 13409.
639*q
Collect the terms in -27942*g - 27945*g + 55826*g.
-61*g
Collect the terms in -3517*y + 1761*y + 519*y**2 + 1756*y.
519*y**2
Collect the terms in -2*p - 19 - 13*p - 37 + 137 - 41 - 38.
-15*p + 2
Collect the terms in 11920*b**3 + 4201*b**3 + 1774*b**3 + 4445*b**3.
22340*b**3
Collect the terms in -96*o**3 - 73*o**3 + 349*o**3 - 100*o**3 - 63*o**3.
17*o**3
Collect the terms in 1433*b - 179 - 2939*b - 2110*b + 179.
-3616*b
Collect the terms in 956 - 161*h - 956 + 649*h.
488*h
Collect the terms in -25*n - 26*n - 35*n - 409 + 78*n + 153.
-8*n - 256
Collect the terms in 633*j**2 - 5*j**3 - 331*j**2 - 349*j**2.
-5*j**3 - 47*j**2
Collect the terms in 54*a**3 + 1 - 1 + 862008*a**2 - 862004*a**2.
54*a**3 + 4*a**2
Collect the terms in 401092 - 6*u + 401093 - 802185 + 7*u**3.
7*u**3 - 6*u
Collect the terms in -222*t**2 - 220*t**2 - 6 + 0 - 76*t**3 + 444*t**2 + 6.
-76*t**3 + 2*t**2
Collect the terms in -2069*u**2 + 4669*u**2 + 4798*u**2 + 4965*u**2.
12363*u**2
Collect the terms in 5*a**2 - 1004577225 + 1004577225.
5*a**2
Collect the terms in -45117*i - 82166*i - 1710016*i - 1213886*i.
-3051185*i
Collect the terms in 334*p - 323*p + p**3 - 103*p**2 - 163*p**2 - 3*p**3 + 3*p**3.
p**3 - 266*p**2 + 11*p
Collect the terms in -q + 1171536 + 1171542 - 6*q - 3514609 + 1171531.
-7*q
Collect the terms in -6483 + 4903*q**2 + 6483.
4903*q**2
Collect the terms in -4 + 6*h**3 - 159751*h**2 + 6 - 2 + 159749*h**2.
6*h**3 - 2*h**2
Collect the terms in 305*g**2 - 1237*g**2 + 337*g**2 + 336*g**2 + 267*g**2.
8*g**2
Collect the terms in -q + 3*q - 4 - 5*q + 14 - 5 - 3*q.
-6*q + 5
Collect the terms in 0*i - i - 40 + 94 + 4 - 57.
-i + 1
Collect the terms in -11*g + 15*g - 402 + 167 + 162.
4*g - 73
Collect the terms in 4055493*u**3 - 2027582*u**3 - 2027886*u**3.
25*u**3
Collect the terms in -3*x**2 - 12*x - 770573 + 770573.
-3*x**2 - 12*x
Collect the terms in 60*g - 5 + 56*g - 119*g - 11 - 7.
-3*g - 23
Collect the terms in -5169690*u**2 + 38 - 38 + 5169950*u**2.
260*u**2
Collect the terms in -65498*y**2 - 19 + 5 + 63686*y**2 + 14.
-1812*y**2
Collect the terms in -37 - 11*y + 345 + y.
-10*y + 308
Collect the terms in 191854*u**3 + 210425*u**3 - 402280*u**3.
-u**3
Collect the terms in -79*v**3 + 597*v**3 + 3136*v**3.
3654*v**3
Collect the terms in -2564*z + 5423*z - 8813*z - 8023*z.
-13977*z
Collect the terms in -82554740*z**3 - 82552041*z**3 + 165106783*z**3.
2*z**3
Collect the terms in 185*m**3 + 2*m**2 + 158*m**3 + 137*m**3 + 284*m**3.
764*m**3 + 2*m**2
Collect the terms in -3 + 3 + 156*z**3 + 1114*z**2 - 158*z**3 - 1117*z**2 + 0.
-2*z**3 - 3*z**2
Collect the terms in 45 - 387*a + 1268*a - 392*a - 490*a.
-a + 45
Collect the terms in m**2 - 199600 + 404506 - 204906.
m**2
Collect the terms in -46131 + 46131 + 2409*t.
2409*t
Collect the terms in 2700498*l + 2009694*l + 3339786*l + 3703406*l.
11753384*l
Collect the terms in -72 - 1148 - 1736 - 2717 - s**2.
-s**2 - 5673
Collect the terms in 6680*w**3 - 2132*w**3 - 4582*w**3.
-34*w**3
Collect the terms in 28172 + 7*s**3 + 32*s - 28172 - 19*s - 13*s.
7*s**3
Collect the terms in 841844 - 841844 + 123*r**2.
123*r**2
Collect the terms in -5*c**2 - 9*c**2 + 69 - 25 - 4*c**2 + 15*c**2.
-3*c**2 + 44
Collect the terms in -84200*m**2 - 40834*m**2 - 52849*m**2 + 2065*m**2.
-175818*m**2
Collect the terms in -127569*g - 127506*g + 255170*g.
95*g
Collect the terms in -34*f - 10*f + 33*f - 21*f - 38*f - 41*f.
-111*f
Collect the terms in -92*s - 69*s + 5 - 5 + 125*s.
-36*s
Collect the terms in -z**3 - 21*z**2 + 104*z**2 - 77572224*z + 77572224*z.
-z**3 + 83*z**2
Collect the terms in -601*a**2 - 602*a**2 + 7 - 588*a**2 - 590*a**2 + 2415*a**2.
34*a**2 + 7
Collect the terms in 65 - 37 + 56*b + 47*b + 57*b.
160*b + 28
Collect the terms in 12944130310724*a - 12944130310724*a + 3*a**2.
3*a**2
Collect the terms in 46 + 13 - 27*b + 17 + 18 + 19 - 112.
-27*b + 1
Collect the terms in -121 + 20*r + 46*r + 65 + 22*r.
88*r - 56
Collect the terms in 6*r + 1142*r**2 - 499*r**2 - 643*r**2 + 24*r**3 + 3*r - 9*r - 26*r**3.
-2*r**3
Collect the terms in 377541*a - 377541*a + 3447*a**3.
3447*a**3
Collect the terms in 183*x - 78 + 21 - 257*x.
-74*x - 57
Collect the terms in -45*j - 77*j - 69*j + 274 | {
"pile_set_name": "DM Mathematics"
} |
alculate k(-6).
4
Let x(p) = p**2 - p - 168. Give x(11).
-58
Let w(n) = -n**2 - 36*n - 333. Give w(-22).
-25
Let l(h) = -5*h**3 + 4*h**2 - 16*h - 51. Determine l(-3).
168
Let y(i) = 2*i**2 - 88*i + 203. Give y(39).
-187
Let w(d) = -209*d + 1051. What is w(5)?
6
Let v(w) = 2*w**3 - 2*w**2 + 98*w - 181. Give v(2).
23
Let p(x) = -x**2 + 61*x - 472. Determine p(9).
-4
Let r(b) = -b**3 - 10*b**2 - 13*b + 10. Calculate r(-6).
-56
Let s(v) = 3*v**2 + 263*v - 3920. What is s(13)?
6
Let k(u) = 5*u**2 + 18*u - 47. Determine k(-6).
25
Let z(x) = 92*x + 1244. Determine z(-18).
-412
Let w(d) = 17*d**3 + 288*d**2 - 26*d - 164. Calculate w(-17).
-11
Let b(p) = 11*p**2 + 1247*p + 448. Calculate b(-113).
-4
Let j(s) = s**2 + 134*s - 4297. Determine j(27).
50
Let w(s) = 232*s - 2778. Determine w(12).
6
Let f(p) = -p**3 + 8*p**2 + 34*p - 194. Determine f(9).
31
Let w(i) = 5*i**2 + 147*i + 837. What is w(-6)?
135
Let x(b) = -57*b + 154. Give x(3).
-17
Let p(h) = 2*h - 12. Determine p(7).
2
Let g(f) = 3*f**3 - 22*f**2 + 38*f + 15. What is g(4)?
7
Let b(n) = 3*n**3 - 16*n**2 - 40*n - 6. What is b(-2)?
-14
Let a(l) = 2*l**3 + 267*l**2 - 1240*l + 275. Calculate a(-138).
-1
Let a(d) = d**3 + 24*d**2 + 106*d - 32. Determine a(-18).
4
Let x(l) = -2*l**2 - 33*l + 202. What is x(-21)?
13
Let m(p) = -360*p - 730. What is m(-2)?
-10
Let y(g) = -g**3 - 55*g**2 + 59*g + 119. Calculate y(-56).
-49
Let x(p) = -2440*p + 14659. Give x(6).
19
Let t(h) = -h**2 - 54*h + 422. What is t(7)?
-5
Let w(v) = -v**3 - 24*v**2 + 67*v + 387. What is w(-26)?
-3
Let z(l) = -6*l**3 + 5*l**2 - 23*l - 58. Give z(-2).
56
Let z(h) = 4*h - 11. What is z(-13)?
-63
Let b(r) = 3*r**2 + 4*r - 102. Give b(-7).
17
Let r(b) = 155*b - 6637. Give r(43).
28
Let l(n) = 17*n + 1598. What is l(-94)?
0
Let t(l) = 6*l**2 + 108*l - 107. Give t(-21).
271
Let p(t) = -2*t**3 - 7*t**2 + 7*t - 3. Calculate p(3).
-99
Let n(x) = x**3 + 6*x**2 + 23*x + 103. Determine n(-5).
13
Let t(n) = -193*n**2 + 1352*n - 2. Calculate t(7).
5
Let z(q) = -q**3 - 10*q**2 - 186*q - 1594. Calculate z(-9).
-1
Let k(j) = 2745*j - 10997. Determine k(4).
-17
Let m(g) = -113*g - 222. Give m(-4).
230
Let v(i) = -84*i - 7558. Give v(-90).
2
Let g(a) = -a**2 - 75*a + 1136. Calculate g(13).
-8
Let y(j) = -3*j**3 - 3*j**2 - 2*j - 62. Determine y(0).
-62
Let v(l) = -92*l - 191. Determine v(-7).
453
Let x(s) = s**2 - 44*s + 59. What is x(42)?
-25
Let h(c) = c**3 + 2*c**2 + c + 4. Calculate h(-3).
-8
Let x(v) = 3*v**3 - 24*v**2 - 47*v + 369. Calculate x(8).
-7
Let x(t) = -t**3 + 80*t + 2. Calculate x(9).
-7
Let a(u) = -7*u**3 - 9*u**2 - 23*u - 3. Calculate a(-2).
63
Let m(x) = x**3 + 3*x**2 + 2*x + 66. Determine m(-5).
6
Let h(i) = i**2 - 12*i - 75. Give h(-6).
33
Let h(n) = -n**3 - 8*n**2 + 7*n + 111. Give h(-5).
1
Let d(u) = 182*u**3 + 3*u**2 + 6*u - 7. Calculate d(1).
184
Let b(z) = 1005*z + 48254. Determine b(-48).
14
Let i(a) = -a**2 + 22*a - 23. Give i(11).
98
Let d(l) = 45*l - 88. Determine d(-2).
-178
Let c(a) = -3*a**2 + 7*a + 158. Give c(-6).
8
Let v(u) = -25*u**2 - 2*u + 8. Give v(-2).
-88
Let p(a) = -179*a**3 + 4*a**2 + 6*a + 2. What is p(-1)?
179
Let a(o) = -13*o - 1964. Calculate a(-156).
64
Let o(h) = 229*h + 772. Calculate o(-4).
-144
Let w(y) = -12*y**2 + 168*y - 267. Calculate w(12).
21
Let z(g) = 2*g**3 - 2*g**2 - 17*g + 21. Calculate z(2).
-5
Let p(k) = -k**3 - 8*k**2 - 13*k - 27. Calculate p(-8).
77
Let k(h) = 156*h - 21368. Determine k(137).
4
Let u(k) = 35*k - 56. Calculate u(-14).
-546
Let a(d) = -d**3 + 29*d**2 + 91*d. What is a(-3)?
15
Let m(q) = -19*q**3 + 2*q**2 - 25*q - 26. Give m(-1).
20
Let i(t) = -t**3 - 15*t**2 - 9*t + 31. Determine i(-14).
-39
Let f(w) = w**2 - 28*w + 211. Determine f(16).
19
Let l(w) = -4*w**2 - 760*w + 3096. What is l(-194)?
-8
Let i(u) = -u**2 + 95*u + 818. Give i(-8).
-6
Let z(p) = p**2 - 376*p - 6. Give z(0).
-6
Let v(c) = -6893*c + 48293. What is v(7)?
42
Let g(p) = 7947*p - 174832. Give g(22).
2
Let l(d) = 486*d + 235. What is l(1)?
721
Let w(y) = -107*y**2 - 1931*y - 13. Determine w(-18).
77
Let n(d) = 16*d - 854. What is n(52)?
-22
Let w(l) = 4*l**2 - 235*l + 173. Calculate w(58).
-1
Let j(t) = -132*t + 200. Determine j(2).
-64
Let y(d) = 2*d**2 + 313*d - 47408. What is y(-251)?
31
Let u(n) = -2*n**3 - 23*n**2 + 12*n + 33. Determine u(-12).
33
Let s(t) = -t**2 - 32*t + 9948. Determine s(85).
3
Let m(u) = 1339*u + 46845. Give m(-35).
-20
Let q(r) = -158*r. What is q(0)?
0
Let b(k) = -4*k**3 + 8*k**2 - 34*k + 65. Determine b(2).
-3
Let n(g) = -19*g**2 - 6*g - 1. Give n(-4).
-281
Let p(x) = -x - 122. Calculate p(-2).
-120
Let h(n) = n**3 + 8*n**2 + 15*n + 34. Determine h(-7).
-22
Let m(v) = -375*v - 1501. Determine m(-4).
-1
Let v(j) = -j**3 - 11*j**2 - 2*j - 6. What is v(-11)?
16
Let f(b) = -11*b**2 - 266*b - 52. What is f(-24)?
-4
Let i(c) = -6*c**2 - 159*c + 160. What is i(1)?
-5
Let o(u) = 4*u - 3. Give o(23).
89
Let m(h) = h**2 + 18*h - 109. What is m(-17)?
-126
Let z(b) = b**3 + 9*b**2 - 26*b - 42. Give z(-11).
2
Let v(w) = w**3 - 43*w**2 + 124*w - 3. What is v(3)?
9
Let c(n) = n**3 - 5*n**2 - 32*n - 224. Give c(11).
150
Let c(z) = -3*z**2 + 66*z - 123. Give c(20).
-3
Let w(b) = -2*b**2 + 134*b + 13781. What is w(123)?
5
Let n(i) = -159*i - 2001. What is n(-14)?
225
Let q(z) = 3*z**3 + 2*z**2 + 2*z + 9. What is q(0)?
9
Let m(j) = j**2 - 50*j + 34. Give m(48).
-62
Let u(o) = -3435*o + 13737. What is u(4)?
-3
Let m(r) = -2*r**3 - 582*r**2 - 574*r + 1738. Give m(-290).
-2
Let h(x) = -8*x**3 - 36*x**2 + 9*x + 8. Calculate h(-5).
63
Let w(b) = 24*b - 190. Determine w(8).
2
Let s(c) = 3*c**2 - 13*c - 54. Give s(13).
284
Let d(r) = -242*r + 3403. Give d(14).
15
Let d(r) = r**3 - 17*r**2 + 685*r - 4900. Calculate d(8).
4
Let z(q) = -q**3 + 45*q**2 - 391*q + 38. Give z(12).
98
Let g(y) = -2*y + 444. Give g(23).
398
Let z(v) = 97*v - 1079. Determine z(11).
-12
Let y(l) = -l**3 - 128*l**2 - 842*l + 490. Give y(-121).
-115
Let d(o) = -o**2 + 9*o + 67. Give d(-13).
-219
Let y(u) = -u**2 + 32*u - 5. Give y(18).
247
Let x(r) = -65*r + 404. Determine x(6).
14
Let s(n) = n**2 + 32*n + 83. Give s(-29).
-4
Let i(y) = -y**3 - 15*y**2 - 47*y - 184. Calculate i(-9).
-247
Let b(i) = -157*i - 370. What is b(-4)?
258
Let l(g) = g**3 + 27*g**2 + 47*g - 58. What is l(-25)?
17
Let p(h) = h**2 - 37*h - 259. Calculate p(-6).
-1
Let d(m) = -40*m - 331. Calculate d(-23).
589
Let d(o) = -522*o - 5246. Calculate d(-10).
-26
Let t(u) = 85*u + 2568. Calculate t(-30).
18
Let g(f) = -102*f - 3278. Determine g(-32).
-14
Let w(z) = 175*z - 1608. Determine w(9).
-33
Let d(m) = -41*m + 3672. What is d(93)?
-141
Let l(h) = -34*h**3 + 14*h**2 - 6*h + 4. What is l(2)?
-224
Let k(q) = -q**3 - 49*q**2 - 219*q - 11. What is k(-44)?
-55
Let m(h) = -2*h**2 - 1035*h - 38200. Determine m(-40).
0
Let w(g) = -4*g**2 + 39*g - 12. Determine w(8).
44
Let n(d) = -d**2 - 378*d + 22843. Give n(53).
0
Let b(i) = 9079*i + 54458. Calculate b(-6).
-16
Let f(y) = -41*y - 1122. Determine f(-34).
272
Let h(c) = 33*c - 73. Calculate h(4).
59
Let c(x) = 178*x + 706. Calculate c(-4).
-6
Let w(c) = -c**3 + 7*c**2 + 122*c + 38. What is w(15)?
68
Let a(w) = -15*w + 1596. Give a(106).
6
Let y(u) = 105*u**2 + 139*u + 415. Determine y(-3).
943
Let w(m) = m**2 - 13*m - 16. Calculate w(16).
32
Let q(l) = l**3 - 3*l**2 - 15*l + 66. Give q(7).
157
Let s(t) = t**3 - 30*t**2 + 214*t - 26. Determine s(11).
29
Let m(h) = -h**2 - 41*h - 191. What is m(-5)?
-11
Let w(y) = 6*y + 320. What is w(-55)?
-10
Let f(c) = -22*c**2 - 16*c - 65. What is f(-4)?
-353
Let y(u) = 2683*u + 8050. Calculate y(-3).
1
Let w(z) = -4*z**3 - 14*z**2 + 13*z + 18. Give w(-6).
300
Let y(g) = g**3 + 13*g**2 - 28*g + 14. Calculate y(-15).
-16
Let m(p) = p**3 - 35*p**2 - 136*p - 70. Calculate m(-3).
-4
Let c(j) = -84*j - 11. Give c(0).
-11
Let u(n) = n**3 + 12*n**2 + n - 29. Determine u(-10).
161
Let x(v) = 530*v + 34979. Calculate x(-66).
-1
Let k(s) = -2*s**3 + 9*s**2 - 26*s + 129. What is k(6)?
-135
Let x(c) = 2*c**3 - 25*c**2 + 10*c - 45. Give x(12).
-69
Let p(q) = 226*q + 661. Determine p(-6).
-695
Let h(c) = -2*c**3 - 32*c**2 - 17*c + 218. Give h(-15).
23
Let z(k) = -316*k + 1563. Give z(5).
-17
Let d(f) = f**3 + f**2 + 751*f + 30. What is d(0)?
30
Let p(h) = h**3 - 15*h**2 - 14*h + 15. Calcula | {
"pile_set_name": "DM Mathematics"
} |
0000
Let f = 528.667 - 529. Let x = 15.367 - f. Round x to the nearest integer.
16
Let l(p) = -6*p + 3*p - 2*p**2 + 0 + 2*p + 2001*p**3 + 2. Let o be (-8)/6*3/(-2). Let n be l(o). What is n rounded to the nearest 10000?
20000
Suppose 3376 = 26*q - 18*q. Round q to the nearest ten.
420
Let j = 806062081 + -806048808.92009. Let p = j - 13272. Let y = p + -0.08. What is y rounded to four dps?
-0.0001
Let d = 3184.1 - 3152.041. Let v = d + -32.2. Round v to 2 decimal places.
-0.14
Let t(r) = -16*r**3 - 6*r**2 - 4*r - 14. Let c be t(-11). Round c to the nearest 1000.
21000
Let d = 0 - 0. Let w = d - 0.0003. What is w rounded to three decimal places?
0
Let k = 2821 - 2822.2062. Let w = k - -1.2. What is w rounded to 3 dps?
-0.006
Let y(k) = -k**3 - 6*k**2 - 5*k + 1. Let f be y(-5). Let g(v) = 521565*v**3 + v. Let m be g(f). Let l = -181566 + m. Round l to the nearest 100000.
300000
Let d(r) = -1100000*r. Let x be d(-2). Suppose 4*k - 2*o = -k + x, -4*k + 1760000 = -2*o. What is k rounded to the nearest 100000?
400000
Let u = 27310182.2 + -30248368.97. Let l = -2938181.76999931 - u. Let f = -5 + l. What is f rounded to 7 decimal places?
0.0000007
Let c = -571 - -879. What is c rounded to the nearest 10?
310
Let d = 0 + -0.036. Let q = -0.0360135 - d. What is q rounded to six decimal places?
-0.000014
Let u = 0.179988 + -0.18. What is u rounded to 6 decimal places?
-0.000012
Let u = -25979 + 25980.30001. Let v = u - 1.3. Round v to six dps.
0.00001
Let v = -25.4 + 144.4. Let x = 120.02 - v. What is x rounded to 1 dp?
1
Let j = -0.41 + -24.79. Let y = 3.2 + j. Let m = 22.00000022 + y. What is m rounded to seven dps?
0.0000002
Let n be 2 - 4/(-2) - -189996. What is n rounded to the nearest one hundred thousand?
200000
Let b = 1314 + -7814. Round b to the nearest 1000.
-7000
Let l = 0.35 - 0.264. Let q = 0.1 - l. Round q to two decimal places.
0.01
Let a(n) = n**3 - n - 2400. Let t be (16/(-4))/(-12)*0. Let y be a(t). Round y to the nearest one thousand.
-2000
Let a = 11 - 11.51. Round a to one decimal place.
-0.5
Let k = 0.3 + -0.3035. What is k rounded to 3 decimal places?
-0.004
Let s = -219 + 218.9999386. What is s rounded to five dps?
-0.00006
Let s = -9.4 - -1.7. Let a = -8 - s. Let w = a - -0.286. Round w to 2 dps.
-0.01
Suppose -3*p - 3*h = 9, 2*p + 8 = -4*h - 8. Suppose 4*v - 10 = p*v. Let u be 387/15 + 1/v. Round u to the nearest 10.
30
Let f be 4/(-2) - (-8 - -4). Suppose f*s - 3210 = -s. What is s rounded to the nearest one hundred?
1100
Let m = -171718829.9999954 + 171718773. Let i = -57 - m. Round i to six decimal places.
-0.000005
Suppose 4*f - 4*a = -15588, f - 4*f - 3*a = 11709. What is f rounded to the nearest 1000?
-4000
Let d be (0 + 0)/(-2 - -1). Let g(c) = -c**3 - c - 15400000. Let j be g(d). What is j rounded to the nearest one million?
-15000000
Let x = 10 + -17. Let u = -3 - x. Let w = u - 3.9999934. What is w rounded to 6 dps?
0.000007
Let s(q) = 8*q**3 - 5*q**2 - 5*q - 5. Let k be s(-11). Let i = -25203 - k. Round i to the nearest ten thousand.
-10000
Suppose 0 = 10*t - 6*t + 64000. What is t rounded to the nearest 1000?
-16000
Let r = -44.054 - -0.054. Let j = r + 43.99999934. Round j to 7 decimal places.
-0.0000007
Let n(k) = -1289*k**2 - 4*k. Let q be n(8). Let h = q - -56528. Round h to the nearest 10000.
-30000
Let x = -7884 + 7892.026. Let a = -8 + x. Round a to two decimal places.
0.03
Let s = -63875319375707.97099922 + 63875321461821. Let w = s + -2086113. Let r = -0.029 + w. What is r rounded to seven dps?
0.0000008
Let v = 47 + -96. Let x = -47.9 - -102. Let u = v + x. What is u rounded to the nearest integer?
5
Let d(q) = -344444*q**3 + 3*q**2 + 8*q + 9. Let v be d(-3). What is v rounded to the nearest one million?
9000000
Let f = -0.0438 + 0.044551. Round f to four dps.
0.0008
Let l be 6/(-4) - -11018*(-167)/(-4). What is l rounded to the nearest 10000?
460000
Let i = 52 + -54.1. Let v = i + 2.10058. Round v to 4 decimal places.
0.0006
Suppose -27*f + 36*f = 2430. Round f to the nearest ten.
270
Let i = 78 - 80.8. What is i rounded to one dp?
-2.8
Let u(j) = 17*j + 8. Let a be u(21). Round a to the nearest ten.
370
Let k = -198.86 + 197. What is k rounded to 1 decimal place?
-1.9
Let s = -0.02 - -4.82. What is s rounded to 0 dps?
5
Let d(w) = -21786*w + 4. Let o be d(8). Let h = 422018 + o. Let r = h + -677734. Round r to the nearest one hundred thousand.
-400000
Let f(y) = -496*y**2 + 12*y - 9 - 616*y**2 - 3*y. Let m be f(9). Round m to the nearest one hundred thousand.
-100000
Let h = -0.008 + 30.008. Let k = -42715.439905 - -42745.44. Let y = h - k. What is y rounded to 5 decimal places?
-0.0001
Let b = 1.447 + -14.117. Let r = b + -0.23. Let q = r + 5. What is q rounded to the nearest integer?
-8
Let n = 4.4999977 - 4.5. Round n to six dps.
-0.000002
Let y = -0.675 - -0.228. Let w = 0.023 - y. Round w to 1 dp.
0.5
Let i = -7 + 7.6. Let m = 0.465 - -0.16. Let l = m - i. What is l rounded to 2 dps?
0.03
Let w = -12.62692 - -12.5169243. Let i = -5.89 - -6. Let a = w + i. Round a to six decimal places.
0.000004
Let b = 1678 + -3750. Let v = 3062 + b. What is v rounded to the nearest 100?
1000
Suppose i + 6 = 3*i. Let g be 2/6 - (-8)/i. Suppose 0 = s + g*s + 12. What is s rounded to the nearest 10?
0
Let z = -41364.8953 + 41363. Let o = 1.9 + z. What is o rounded to 3 decimal places?
0.005
Let y = 5629445 + -5629442.000003. Let b = y + -3. What is b rounded to five dps?
0
Let l = 22.27345 + -22.5734498. Let x = -8 + 7.7. Let t = l - x. Round t to six decimal places.
0
Let h = 10.799818 + -10.8. Round h to 4 dps.
-0.0002
Let y(c) = 79*c + 3. Let z be y(-1). What is z rounded to the nearest 10?
-80
Suppose -3*t = -f + 4, 4*f + 4 = 8. Let p be 0 + 1 + (-4 - t). Let v be 7400002 + -2 - 2 - p. What is v rounded to the nearest one million?
7000000
Let h = 10.3 - 10. Let v = -1.8 + 1.62. Let w = h - v. What is w rounded to 1 decimal place?
0.5
Suppose 0 = -3*n + 12, 0 = 2*g - n + 2*n + 3159996. What is g rounded to the nearest 100000?
-1600000
Let l be (-120)/(-4*1/(-8)). Round l to the nearest ten.
-240
Let a = 8 - 8. Suppose -p + 6 - 13 = a. What is p rounded to the nearest integer?
-7
Let j be 4/(-6) - (-2)/3. Suppose j = -5*y + 68377 + 26623. Let b be (y/12)/(2/(-960)). Round b to the nearest 100000.
-800000
Let j = 9 + -4. Let l = 189.085 - 194.1. Let o = j + l. Round o to two decimal places.
-0.02
Let h = -86 - -92.5. Let o = 0 + 8. Let a = h - o. What is a rounded to 1 decimal place?
-1.5
Let y = -100915311 - -183799382. Let s = y + -82884308.000097. Let z = s + 237. Round z to 5 dps.
-0.0001
Let v = 184 - 184.0000101. Round v to six dps.
-0.00001
Let k(g) = 3901*g**2 - 9*g - 10. Suppose -51 + 11 = -4*d. Let q be k(d). What is q rounded to the nearest one hundred thousand?
400000
Let g = -133 + 105. Let k = 34270.1 + -34242.10078. Let s = k + g. Round s to 4 decimal places.
-0.0008
Let g = -18314837 + 2514837. Round g to the nearest 1000000.
-16000000
Let s(l) be the second derivative of 232*l**3/3 + l**2 - 2*l. Let c be s(2). What is c rounded to the nearest 100?
900
Suppose c - 2*c + 1000000 = 0. What is c rounded to the nearest one million?
1000000
Let w = -0.191 + 1.971. Round w to one dp.
1.8
Let g = 9 + 29. What is g rounded to the nearest 10?
40
Let x = 97.5 - -32.5. Let z = x + -129.943. Let o = -0.05700118 + z. Round o to 7 decimal places.
-0.0000012
Let o(z) = 32594*z**2 + 10*z - 29. Let w(v) = -16297*v**2 - 5*v + 15. Let x(j) = 3*o(j) + 5*w(j). Let h = 55 - 64. Let a be x(h). Round a to the nearest 100000.
1300000
Let w = -18 - -18. Suppose w = -6*d + 54835 + 10565. Round d to the nearest 1000.
11000
Let s = 1288 - 2790. Let j be -1*(-1)/4*-4. Let o be (2/(-1))/j + s. Round o to the nearest one thousand.
-2000
Let f = -704 + 1518. Suppose -f = -5*i + 1236. What is i rounded to the nearest one hundred?
400
Let q = -16626053 - -9826053. What is q rounded to the nearest one million?
-7000000
Suppose -m = 53235 + 42765. Round m to the nearest ten thousand.
-100000
Let n = -0.03 - 0.07. Let y = 0.044 + n. Round y to two dps.
-0.06
Let t = 0.045 + -0.375. Let b = t - -0.329938. Round b to five dps.
-0.00006
Let q = -52.92 + -0.08. Let p = q + 97. Let n = 38.3 - p. What is n rounded to zero decimal places?
- | {
"pile_set_name": "DM Mathematics"
} |
PM
How many minutes are there between 11:20 PM and 11:05 AM?
705
How many minutes are there between 10:42 PM and 10:26 AM?
704
What is 592 minutes before 6:06 AM?
8:14 PM
How many minutes are there between 3:44 AM and 12:12 PM?
508
What is 528 minutes after 10:39 AM?
7:27 PM
What is 485 minutes after 8:54 AM?
4:59 PM
How many minutes are there between 5:40 PM and 8:02 PM?
142
What is 707 minutes before 4:18 AM?
4:31 PM
What is 467 minutes after 9:10 AM?
4:57 PM
How many minutes are there between 12:37 AM and 2:52 AM?
135
What is 702 minutes after 4:42 PM?
4:24 AM
How many minutes are there between 11:38 AM and 10:50 PM?
672
How many minutes are there between 12:51 PM and 11:27 PM?
636
How many minutes are there between 2:28 AM and 7:30 AM?
302
What is 418 minutes after 10:39 PM?
5:37 AM
What is 530 minutes before 10:08 AM?
1:18 AM
What is 251 minutes after 10:43 PM?
2:54 AM
How many minutes are there between 9:35 PM and 5:48 AM?
493
How many minutes are there between 9:07 PM and 11:57 PM?
170
What is 628 minutes after 5:43 PM?
4:11 AM
What is 463 minutes after 11:52 AM?
7:35 PM
How many minutes are there between 6:15 PM and 7:37 PM?
82
How many minutes are there between 12:23 PM and 10:50 PM?
627
How many minutes are there between 12:05 AM and 11:14 AM?
669
How many minutes are there between 9:15 AM and 8:10 PM?
655
What is 643 minutes before 11:39 PM?
12:56 PM
What is 376 minutes after 2:21 PM?
8:37 PM
What is 250 minutes before 9:58 PM?
5:48 PM
What is 623 minutes after 12:02 AM?
10:25 AM
How many minutes are there between 2:19 AM and 12:35 PM?
616
How many minutes are there between 5:53 AM and 4:56 PM?
663
How many minutes are there between 10:14 AM and 9:11 PM?
657
What is 172 minutes after 9:48 PM?
12:40 AM
What is 52 minutes after 10:45 AM?
11:37 AM
How many minutes are there between 1:48 AM and 4:41 AM?
173
What is 173 minutes after 10:17 PM?
1:10 AM
How many minutes are there between 8:50 AM and 12:07 PM?
197
How many minutes are there between 6:17 AM and 9:07 AM?
170
What is 309 minutes before 12:16 PM?
7:07 AM
How many minutes are there between 12:31 AM and 1:06 AM?
35
What is 625 minutes after 11:49 PM?
10:14 AM
How many minutes are there between 4:35 AM and 12:29 PM?
474
What is 128 minutes after 3:08 AM?
5:16 AM
How many minutes are there between 7:36 AM and 9:43 AM?
127
What is 480 minutes after 9:09 AM?
5:09 PM
How many minutes are there between 4:12 AM and 3:45 PM?
693
How many minutes are there between 3:40 PM and 11:05 PM?
445
How many minutes are there between 5:42 AM and 5:09 PM?
687
What is 576 minutes after 1:33 PM?
11:09 PM
What is 211 minutes after 9:59 AM?
1:30 PM
How many minutes are there between 11:25 AM and 4:40 PM?
315
How many minutes are there between 6:42 AM and 3:04 PM?
502
How many minutes are there between 6:56 AM and 5:08 PM?
612
What is 539 minutes after 5:45 PM?
2:44 AM
How many minutes are there between 2:08 AM and 5:30 AM?
202
How many minutes are there between 11:08 PM and 11:17 PM?
9
How many minutes are there between 12:06 PM and 3:17 PM?
191
What is 655 minutes after 7:38 AM?
6:33 PM
What is 353 minutes before 2:53 AM?
9:00 PM
What is 251 minutes before 6:14 AM?
2:03 AM
What is 39 minutes after 7:32 AM?
8:11 AM
What is 501 minutes before 9:19 PM?
12:58 PM
How many minutes are there between 5:19 PM and 8:48 PM?
209
How many minutes are there between 5:15 AM and 4:55 PM?
700
What is 166 minutes before 8:02 AM?
5:16 AM
What is 366 minutes after 8:29 PM?
2:35 AM
How many minutes are there between 6:38 PM and 6:07 AM?
689
What is 402 minutes after 6:58 PM?
1:40 AM
What is 148 minutes before 11:40 AM?
9:12 AM
What is 320 minutes before 3:46 AM?
10:26 PM
What is 507 minutes before 11:43 AM?
3:16 AM
How many minutes are there between 3:25 PM and 7:35 PM?
250
How many minutes are there between 11:20 AM and 11:14 PM?
714
How many minutes are there between 6:04 AM and 11:24 AM?
320
What is 120 minutes after 7:44 AM?
9:44 AM
How many minutes are there between 8:43 PM and 10:38 PM?
115
How many minutes are there between 12:23 AM and 2:59 AM?
156
What is 538 minutes before 2:15 AM?
5:17 PM
How many minutes are there between 7:58 AM and 6:59 PM?
661
What is 40 minutes before 10:08 AM?
9:28 AM
What is 532 minutes after 5:33 PM?
2:25 AM
What is 546 minutes before 4:32 PM?
7:26 AM
What is 244 minutes before 4:50 PM?
12:46 PM
How many minutes are there between 9:23 AM and 7:22 PM?
599
What is 428 minutes before 6:54 AM?
11:46 PM
What is 173 minutes after 1:25 PM?
4:18 PM
How many minutes are there between 4:43 AM and 8:49 AM?
246
What is 492 minutes before 2:03 AM?
5:51 PM
How many minutes are there between 8:27 PM and 5:47 AM?
560
How many minutes are there between 5:24 AM and 10:33 AM?
309
What is 623 minutes before 3:15 AM?
4:52 PM
How many minutes are there between 9:48 AM and 4:34 PM?
406
How many minutes are there between 5:58 AM and 1:51 PM?
473
What is 676 minutes after 9:47 PM?
9:03 AM
How many minutes are there between 4:50 AM and 8:46 AM?
236
What is 457 minutes after 1:00 AM?
8:37 AM
What is 556 minutes before 3:58 AM?
6:42 PM
What is 481 minutes before 2:26 PM?
6:25 AM
What is 251 minutes before 2:08 PM?
9:57 AM
How many minutes are there between 5:51 AM and 4:56 PM?
665
How many minutes are there between 9:41 AM and 6:03 PM?
502
What is 243 minutes after 10:19 PM?
2:22 AM
How many minutes are there between 12:47 AM and 4:58 AM?
251
How many minutes are there between 12:07 PM and 2:53 PM?
166
What is 101 minutes after 4:12 AM?
5:53 AM
What is 526 minutes before 5:16 AM?
8:30 PM
What is 553 minutes after 8:02 AM?
5:15 PM
How many minutes are there between 8:05 AM and 12:02 PM?
237
How many minutes are there between 3:38 PM and 10:26 PM?
408
How many minutes are there between 6:49 AM and 10:03 AM?
194
How many minutes are there between 7:19 PM and 10:41 PM?
202
How many minutes are there between 8:50 AM and 8:52 AM?
2
How many minutes are there between 3:56 PM and 1:13 AM?
557
What is 9 minutes before 2:17 AM?
2:08 AM
How many minutes are there between 12:21 PM and 11:58 PM?
697
What is 624 minutes after 12:57 PM?
11:21 PM
How many minutes are there between 4:52 PM and 5:59 PM?
67
What is 388 minutes after 9:25 PM?
3:53 AM
How many minutes are there between 7:02 AM and 2:36 PM?
454
How many minutes are there between 3:42 AM and 4:07 AM?
25
What is 501 minutes before 5:58 PM?
9:37 AM
What is 310 minutes before 12:31 PM?
7:21 AM
How many minutes are there between 12:34 AM and 10:58 AM?
624
How many minutes are there between 10:36 PM and 9:40 AM?
664
How many minutes are there between 4:40 AM and 1:57 PM?
557
How many minutes are there between 7:00 PM and 4:03 AM?
543
What is 252 minutes after 12:04 AM?
4:16 AM
What is 160 minutes before 11:24 AM?
8:44 AM
How many minutes are there between 1:36 PM and 12:23 AM?
647
What is 535 minutes after 7:21 PM?
4:16 AM
How many minutes are there between 6:53 PM and 1:09 AM?
376
What is 117 minutes after 6:14 AM?
8:11 AM
How many minutes are there between 11:04 PM and 6:12 AM?
428
What is 298 minutes before 9:07 AM?
4:09 AM
How many minutes are there between 9:00 PM and 9:33 PM?
33
How many minutes are there between 12:07 PM and 8:20 PM?
493
How many minutes are there between 12:25 AM and 10:50 AM?
625
How many minutes are there between 9:50 AM and 12:55 PM?
185
How many minutes are there between 6:05 AM and 5:27 PM?
682
What is 428 minutes after 4:55 AM?
12:03 PM
How many minutes are there between 3:30 AM and 1:54 PM?
624
What is 137 minutes before 9:54 AM?
7:37 AM
How many minutes are there between 10:07 AM and 5:57 PM?
470
How many minutes are there between 5:03 AM and 3:20 PM?
617
How many minutes are there between 12:44 AM and 12:00 PM?
676
How many minutes are there between 6:56 PM and 7:06 PM?
10
How many minutes are there between 2:48 PM and 4:04 PM?
76
What is 599 minutes after 4:27 PM?
2:26 AM
What is 145 minutes after 3:03 PM?
5:28 PM
How many minutes are there between 4:32 AM and 3:15 PM?
643
How many minutes are there between 1:37 AM and 8:49 AM?
432
How many minutes are there between 8:15 PM and 1:01 AM?
286
What is 491 minutes before 8:41 PM?
12:30 PM
What is 611 minutes before 1:30 PM?
3:19 AM
What is 596 minutes after 9:32 AM?
7:28 PM
What is 249 minu | {
"pile_set_name": "DM Mathematics"
} |
667/5 + -134. Find the common denominator of ((-3)/12)/(q/(-220)) and z.
15
Let h(n) = n**2 - 3*n - 20. Let j be h(6). What is the smallest common multiple of 22 and (-1 - -2)*(1 - -3 - j)?
66
Let y be 4*(-10)/(-8) - 3. Calculate the common denominator of ((-441)/(-144))/(y/4) and 67/10.
40
What is the common denominator of (-56)/(-56)*134/424 and 45/28?
1484
Suppose 4 = y + 2. Let b(l) = 6*l**2 - 3*l + 4. What is the smallest common multiple of b(2) and y?
22
Let r = -480 - -258. Calculate the common denominator of 23/14 and (r/(-3 + 5))/(-22).
154
Let u be (4/(-6))/(10/(-90)). Find the common denominator of (71/48)/((-2)/6)*-4 and ((-5)/u)/((-2)/30).
4
Let u = 4723 + -8840. Let f be 8/6 + u/(-60). Let r = -287/4 + f. Find the common denominator of -30/7 and r.
35
Let i be 5599/18*(-138)/(-4). Let v = i - 10743. Find the common denominator of v and (-499)/(-70) - 4*(-2)/(-40).
84
Let o be (-10 + (-25)/5)*14/(-2). Calculate the least common multiple of (-14)/3*(-450)/o and 106.
1060
What is the common denominator of ((-207)/(-60))/(6/(-15)) and 7/50?
200
Suppose 26*c - 99 = 1773. Calculate the smallest common multiple of c and 14.
504
Let h(v) = -v**2 - 26*v - 28. Let o be h(-12). Let r be -2 + 1 - (-2 + 3). What is the common denominator of ((-170)/o)/(r/(-8)) and -27/2?
14
Let g(t) = -t**3 + 34*t**2 - 29*t - 17. What is the smallest common multiple of 65 and g(33)?
1495
Suppose 2*y - 120 = 4. Suppose 0 = z + 3*u + 13, 2*z - 2*u = -6*u - 8. What is the smallest common multiple of y and z?
434
Let u(a) = -5*a**3 + a**2 - 36*a - 36. Calculate the lowest common multiple of 215 and u(-1).
1290
Suppose 4 = -5*r - 56. Find the common denominator of -11*(30/(-9) - -3) and 2 + -3 + 242/r.
6
Suppose -3*k = y - 3, 5*k - 20 - 5 = 5*y. Let o(f) = -6*f - 4. Calculate the lowest common multiple of 12 and o(y).
84
Let w = 2/41761 + -5053141/1252830. Calculate the common denominator of -11/27 and w.
270
What is the common denominator of 27/16 and 298/24 + (-4)/(-7 + 11)?
48
Let l = 451 - 365. Suppose 0 = i + i - 6. What is the least common multiple of l and i?
258
Let y(b) = b**2 - 3*b. Let t be (-330)/(-77) + 2/(-7). Suppose -t*u + 39 = -5*g, -5*u + 33 = -u - 3*g. Calculate the lowest common multiple of u and y(4).
12
Let b = 399561/138635 + 2/8155. Find the common denominator of b and -4.
17
Let k = -227 + -543. Let h = -2378/3 - k. What is the common denominator of h and -50/17?
51
Suppose -660 = 642*u - 647*u. Calculate the lowest common multiple of 44 and u.
132
Let v be 2/(-2232)*(-2)/16. Let a = 23993/8928 + v. Let c = -107543/42 + 7696/3. Calculate the common denominator of a and c.
112
Let q be (-4 - -13 - 0) + -4. Suppose -w - w + 38 = 5*x, 0 = -3*w + q*x + 32. Calculate the least common multiple of w and 18.
126
Let r = 13391/35442 - -13/358. Find the common denominator of -10/51 and r.
1683
What is the smallest common multiple of 80 and (30/(-25))/((-4)/320)?
480
Let p = -21524/57 + -383/57. Let d = -396 - p. Let a = 19276/7 - 2747. Calculate the common denominator of d and a.
21
Let t = -41 + 34. Let w be (-1 + 1)*t/14. Suppose w = 5*x - x - 36. Calculate the smallest common multiple of 9 and x.
9
Suppose -20*z = -12*z + 48. Calculate the common denominator of 597/360 - ((-8)/z)/4 and 9/28.
280
What is the least common multiple of 8 and (3/(-4))/((-63)/1344)?
16
Suppose 2*y + 2 = y. Let k = 2 - y. Suppose -5*n = k*f - 49, 3*f = -2*f + 5. What is the lowest common multiple of 11 and n?
99
Let u be 761/4 + (-9)/36. Let p = u - 324. What is the common denominator of p/(-18) + 22/(-99) and 25/6?
18
Suppose 4*u = -u + 5. What is the common denominator of ((-6)/(-99))/(u + (-83)/84) and -49/4?
44
Let v = -23 + 27. Suppose v*i - 12319 = -1123. Let d = -33647/12 + i. Calculate the common denominator of d and 31/18.
36
Suppose 3*d + 26 = 4*d. Let h = -22 + d. Suppose h*k - 40 = 2*k. Calculate the smallest common multiple of 2 and k.
20
Let c = 3 + 3. Calculate the smallest common multiple of 1 and c.
6
Let n = -89 + 107. Calculate the lowest common multiple of n and 6.
18
Let c = -31663/26 - -1217. What is the common denominator of -31/143 and c?
286
Let d(q) = -11*q - 29. Calculate the lowest common multiple of 18 and d(-3).
36
Suppose -2*f - 2*f = 0. Let x(v) = 5*v + 9. Let h(z) = 11*z + 18. Let l(y) = -6*h(y) + 13*x(y). What is the lowest common multiple of l(f) and 9?
9
Let u = -2/1359 - 33967/5436. Calculate the common denominator of 61/44 and u.
44
What is the least common multiple of (14 + -15)/(1/(-28)) and 190?
2660
Suppose 5*v + 8 = v. What is the common denominator of (5/5)/(-5)*(-37)/v and -49/16?
80
Let t = -70901/379824 + -1/3088. Calculate the common denominator of 83/15 and t.
615
Suppose -2*w + 6*w - 44 = 0. Suppose -p - 36 = -3*p. Let x = p - w. Calculate the smallest common multiple of 1 and x.
7
Let d = -91349029/4400928 + 768/37. Let l = 303019/594720 - d. Calculate the common denominator of -29/14 and l.
210
Suppose -14 + 42 = -4*f. Calculate the common denominator of 5/12 and (-222)/(-336) - (-2)/f.
24
Let u be ((-72)/60)/(6/(-20)). Let m = -2256 + 36051/16. Find the common denominator of u/(-32)*94 - (3 - 2) and m.
16
Suppose 5*u - 3*u - 78 = -3*i, 4*u - 158 = -5*i. What is the lowest common multiple of u and 1?
42
Let y(n) = -2*n**3 + n - 2. Let x be y(1). Find the common denominator of (x - -1)/(72/(-258)) and -73/30.
30
Let f = 1517 + -66673/44. What is the common denominator of -25/4 and f?
44
Let a = 1966 + -3843/2. What is the common denominator of ((-9)/(-30))/(72/1005) and a?
16
Suppose -y = m - 5*m + 6, -10 = -y - 4*m. Calculate the smallest common multiple of 30 - (10 + -8) - 8 and y.
20
Let m(z) = -2*z - 5*z + 7*z + 1 + z + z**3. Let a be m(-1). What is the lowest common multiple of 660/72 - a/(-6) and 23?
207
Let f be 22/55 + 38668618/1180. Let p = f - 32770. What is the common denominator of p and 21/22?
1298
Let g(q) = 3*q + 16. Let i(u) = u - 24 + 7 + 2*u - 5*u. Let f(d) = -3*g(d) - 2*i(d). What is the lowest common multiple of 8 and f(-6)?
16
Calculate the common denominator of 151/354 and 292/56 - 24/16.
2478
Calculate the common denominator of (5*(-1070)/6000)/((-2)/6) and (-2)/3 - (-406)/24.
40
Let h be -3 + 6 - ((-267490)/(-28))/(-5). Let q = -1912 + h. Let i = 2/3305 - 56201/26440. Find the common denominator of q and i.
56
Suppose 2*o - 7*o = 5*j - 195, -2*j + o + 87 = 0. Calculate the smallest common multiple of j and 35.
210
Let h be 2/(-6*(-3 - (-40)/12)). Let k(i) = i + i**2 + 0 + 4 - 2. What is the least common multiple of 2 and k(h)?
2
Suppose -4*c + 307 = 47. Calculate the least common multiple of c and 52.
260
What is the common denominator of 13/10 and (-20712)/1248 - 4/26?
20
Let n = 366741/50 - 7334. What is the common denominator of 59/10 and n?
50
Let m(r) = r - 55. Let c be m(20). Find the common denominator of 2/2 - 295/30 and (-93)/(-4)*(-14)/c - 1.
30
Let b be 4/(-6)*(-29 - 7). Suppose 8*n - b = 5*n. Calculate the smallest common multiple of n and 14.
56
Let x = -6/5323 - -197959/894264. Let k = x + -4441/840. What is the common denominator of k and (-66)/4*9/(-378)*16?
105
Suppose -5*g - 15 = -a, -4*a - 5*g = -g + 60. Let o = a - -12. Let p(d) = -d + 16. What is the least common multiple of o and p(8)?
8
Suppose 0 = -i + 3*q + 305, -6*i + 306 = -5*i - 2*q. Calculate the lowest common multiple of i and 264.
1848
Suppose 4*y + 5*k - 10 = -y, -5*k - 26 = -y. Calculate the least common multiple of y and 4.
12
Let h(w) = -24*w - 19*w**2 + 4*w**2 + 23*w + 1. Let x be h(1). What is the common denominator of (425/x)/((-8)/6) and 6/11?
44
What is the common denominator of (-342)/100*(-75)/90 and 127/108?
540
Let d = 7 - -137. Calculate the smallest common multiple of d and 96.
288
Suppose -2*o = 7 - 19. What is the smallest common multiple of (-180)/(-22) + o/(-33) and 4?
8
Let u = 5/14311 + 2074255/2404248. Calculate the common denominator of 93/20 and u.
840
Let k(u) = 496*u - 4. Let a be k(4). Let v = -1809 - -987. Find the common denominator of v/a + (-2)/(-11) and 65/22.
330
Let s = 1630 - 1622. Calculate the least common multiple of 1026 and s.
4104
Find the common denominator of ((322 - 1)/3)/100 and -101/10.
100
Let d be 26/((-2)/(-3) + -1). Suppose 3*v - 84 = 6*v. Find the common denomi | {
"pile_set_name": "DM Mathematics"
} |
rt -664 (base 7) to base 6.
-1324
7c3 (base 14) to base 16
607
-1000100000001011 (base 2) to base 4
-20200023
Convert -1251 (base 6) to base 14.
-18b
Convert -1ac (base 16) to base 5.
-3203
Convert 1304 (base 5) to base 10.
204
Convert -130310 (base 4) to base 12.
-1098
What is 1110111110 (base 2) in base 13?
589
Convert -aac1 (base 15) to base 7.
-210325
Convert -1101022 (base 4) to base 2.
-1010001001010
7077 (base 8) to base 5
104042
Convert -517 (base 13) to base 14.
-45b
4413 (base 9) to base 12
1a70
-2031 (base 5) to base 11
-222
Convert a91 (base 16) to base 5.
41310
34111 (base 6) to base 10
4795
What is -26c1 (base 16) in base 8?
-23301
-311e (base 16) to base 7
-51442
Convert 20 (base 16) to base 3.
1012
-115055 (base 6) to base 5
-311222
665 (base 9) to base 5
4140
Convert 32534 (base 7) to base 8.
17737
Convert 221230 (base 4) to base 14.
d88
-45106 (base 8) to base 16
-4a46
11020221 (base 4) to base 2
101001000101001
352 (base 12) to base 2
111101110
What is 3516 (base 10) in base 2?
110110111100
What is -3333 (base 5) in base 9?
-570
1112120 (base 5) to base 11
13853
28036 (base 10) to base 14
a308
Convert 101211 (base 3) to base 7.
565
23584 (base 10) to base 5
1223314
-15a (base 15) to base 7
-622
What is 22201 (base 3) in base 9?
281
24 (base 7) to base 8
22
4642 (base 9) to base 7
13013
What is -704 (base 8) in base 2?
-111000100
103a0 (base 14) to base 3
1222200210
18377 (base 13) to base 4
23122112
-1040 (base 8) to base 7
-1405
13617 (base 10) to base 11
a25a
What is 98 (base 14) in base 4?
2012
845 (base 14) to base 4
121131
Convert 800 (base 13) to base 8.
2510
Convert 42066 (base 9) to base 11.
19949
102555 (base 6) to base 13
3aac
Convert 7e71 (base 16) to base 10.
32369
Convert -ae1 (base 16) to base 13.
-1363
Convert 329 (base 11) to base 5.
3034
-111000011000 (base 2) to base 5
-103413
What is -13772 (base 8) in base 6?
-44230
What is -437 (base 15) in base 3?
-1022021
Convert 40552 (base 7) to base 8.
23236
-210440 (base 6) to base 8
-41170
What is 4641 (base 11) in base 12?
363b
-300021 (base 4) to base 2
-110000001001
What is -30230 (base 4) in base 16?
-32c
Convert -1017 (base 14) to base 10.
-2765
Convert 433 (base 5) to base 15.
7d
-111004 (base 5) to base 9
-5280
Convert -23044 (base 5) to base 6.
-11345
-1001101100000 (base 2) to base 16
-1360
Convert 55252 (base 9) to base 7.
211610
Convert -1011012 (base 3) to base 2.
-1101001010
What is 12986 (base 10) in base 13?
5bac
Convert -c31b (base 15) to base 2.
-1010000011110001
Convert -6455 (base 15) to base 12.
-10352
Convert -1365 (base 8) to base 5.
-11012
What is -280 (base 13) in base 2?
-110111010
Convert 1057 (base 9) to base 8.
1415
What is -163 (base 14) in base 15?
-13d
-1aa (base 15) to base 5
-3020
Convert 10000000000 (base 2) to base 6.
4424
-81 (base 14) to base 12
-95
-421322 (base 5) to base 10
-13962
Convert -14 (base 7) to base 15.
-b
Convert -245 (base 9) to base 11.
-175
What is 5515 (base 7) in base 14?
a0c
What is a9d8 (base 14) in base 2?
111001011010010
What is -1adc (base 15) in base 10?
-5832
What is -4035 (base 7) in base 2?
-10101110110
233031 (base 4) to base 16
bcd
What is 2013224 (base 5) in base 7?
163132
16656 (base 11) to base 4
11231312
Convert 4e7b (base 15) to base 12.
9852
10826 (base 10) to base 5
321301
122120 (base 3) to base 5
3344
37a (base 14) to base 9
853
What is 638 (base 10) in base 5?
10023
Convert 3c3 (base 16) to base 5.
12323
What is 16560 (base 8) in base 9?
11303
34fa (base 16) to base 3
200121022
What is -3234 (base 7) in base 12?
-800
Convert -132c (base 13) to base 8.
-5266
Convert 35b5 (base 14) to base 3.
110212002
Convert -1141 (base 5) to base 9.
-210
What is 214 (base 12) in base 8?
460
What is -21024 (base 5) in base 16?
-56d
-12121 (base 4) to base 10
-409
10975 (base 13) to base 12
1556a
What is 1041324 (base 5) in base 11?
12862
Convert 173 (base 15) to base 5.
2313
Convert -2e2 (base 16) to base 4.
-23202
1201 (base 7) to base 9
541
What is -25023 (base 12) in base 10?
-50139
-13424 (base 6) to base 3
-2212221
What is 134 (base 16) in base 5?
2213
-61552 (base 7) to base 16
-3ab7
-421 (base 14) to base 3
-1010010
Convert 133220 (base 5) to base 6.
41055
What is -20317 (base 11) in base 8?
-71737
-43411 (base 8) to base 2
-100011100001001
Convert -347 (base 14) to base 2.
-1010001011
3237 (base 8) to base 3
2022210
Convert -3333 (base 5) to base 14.
-256
Convert -556 (base 9) to base 8.
-710
-41032 (base 5) to base 7
-10463
Convert 721 (base 8) to base 14.
253
Convert 2416 (base 7) to base 11.
744
What is 5615 (base 16) in base 11?
15614
Convert -30222 (base 7) to base 16.
-1c95
1604 (base 8) to base 6
4100
Convert -222212211 (base 3) to base 9.
-28784
Convert -546 (base 8) to base 16.
-166
-cc7 (base 16) to base 14
-1299
Convert -42b8 (base 12) to base 2.
-1110010101100
Convert 9a0 (base 12) to base 14.
732
Convert 2165 (base 8) to base 6.
5141
Convert ec4c (base 16) to base 2.
1110110001001100
Convert -8b6 (base 16) to base 12.
-135a
Convert -960 (base 12) to base 15.
-613
2140 (base 6) to base 16
1ec
33031 (base 4) to base 11
805
Convert -14442 (base 8) to base 10.
-6434
a0a (base 14) to base 3
2200222
Convert 100011 (base 2) to base 14.
27
Convert -1434 (base 13) to base 16.
-b64
-382 (base 11) to base 15
-203
What is 795 (base 14) in base 4?
113133
What is -1204 (base 12) in base 10?
-2020
Convert 8354 (base 10) to base 2.
10000010100010
Convert 7632 (base 11) to base 13.
4783
4b8 (base 16) to base 7
3344
b665 (base 12) to base 16
4ded
Convert 310022 (base 4) to base 10.
3338
What is -101201202 (base 3) in base 16?
-1e8f
Convert -1142001 (base 5) to base 4.
-11033331
Convert 100010101110 (base 2) to base 8.
4256
Convert 557 (base 8) to base 16.
16f
What is -2521 (base 8) in base 11?
-1028
What is -4506 (base 8) in base 2?
-100101000110
Convert -baa (base 12) to base 4.
-122302
What is 10331 (base 5) in base 7?
2042
Convert -9443 (base 11) to base 13.
-5904
Convert -230321 (base 4) to base 16.
-b39
-e1a (base 16) to base 2
-111000011010
Convert -8460 (base 9) to base 12.
-3716
22012 (base 3) to base 6
1005
What is -13652 (base 8) in base 7?
-23443
What is -372 (base 9) in base 2?
-100110100
Convert -12122 (base 4) to base 10.
-410
-426 (base 9) to base 13
-20a
Convert 132500 (base 6) to base 8.
27764
Convert -1111011010110 (base 2) to base 15.
-2514
Convert -23020 (base 5) to base 15.
-740
-2231 (base 6) to base 16
-20b
What is 110111100011000 (base 2) in base 15?
8660
What is -3540 (base 7) in base 6?
-10010
What is -f23f (base 16) in base 15?
-13595
What is -35b9 (base 13) in base 3?
-101102001
12110101 (base 3) to base 7
14413
232677 (base 8) to base 12
39a7b
What is -6576 (base 9) in base 7?
-20064
What is 13797 (base 10) in base 6?
143513
What is 5007 (base 8) in base 3?
10112002
-1a1 (base 16) to base 15
-1cc
-848 (base 9) to base 13
-413
What is -11001010011 (base 2) in base 13?
-977
What is -1001010210 (base 3) in base 5?
-1124024
What is -633 (base 9) in base 2?
-1000000100
Convert -1010100 (base 2) to base 12.
-70
What is -3570 (base 12) in base 16?
-1764
1201112 (base 3) to base 12
888
What is -2c5 (base 14) in base 11?
-474
-173 (base 13) to base 16
-107
What is 10012212 (base 3) in base 6?
14505
What is 2020 (base 5) in base 12?
198
-24199 (base 10) to base 7
-130360
What is 2c73 (base 13) in base 3?
22221100
-2044 (base 13) to base 11
-3386
10122 (base 3) to base 4
1202
Convert -41420 (base 5) to base 4.
-222233
Convert -121403 (base 5) to base 7.
-16264
Convert 37 (base 11) to base 9.
44
What is 754b (base 15) in base 7?
132236
6a4 (base 16) to base 15
785
What is -3eb (base 16) in base 12?
-6b7
Convert 3483 (base 13) to base 8.
16316
238 (base 15) to base 3
200122
6b8 (base 14) to base 16
53a
What is -1111430 (base 5) in base 2?
-100110010011111
What is 20 (base 10) in base 2?
10100
a1a4 (base 13) to base 9
33487
What is 10031 (base 5) in base 6?
2545
-3822 (base 14) to base 4
-2121212
What is -62 (base 13) in base 9?
-88
Convert -4141 (base 15) to base 12.
-7b8a
Convert -13031 (base 4) to base 7.
-1226
What is 24320 (base 5) in base 8?
3453
136 (base 16) to base 4
10312
166 (base 10) to base 6
434
Convert -5825 (base 9) to base 6.
-31552
Convert 42c8 (base 15) to base 7. | {
"pile_set_name": "DM Mathematics"
} |
). Suppose -z = 2*z + 3, -4*f - 4*z = -8. Determine x so that -2*x**4 + u*x - 7 + x**4 - 6*x**2 + 6 + 4*x**f = 0.
1
Let u(c) be the third derivative of 0*c**3 + 0 + 1/600*c**5 + c**2 + 1/240*c**4 + 0*c. Find t, given that u(t) = 0.
-1, 0
Let l(r) be the first derivative of r**5/690 + r**4/138 + r**3/69 - 21*r**2 - 13. Let u(j) be the second derivative of l(j). Suppose u(q) = 0. What is q?
-1
Let g = 39 - 52. Let d be 4/(-14)*(g + 6). Factor -2/7 + 2/7*f**d - 2/7*f**3 + 2/7*f.
-2*(f - 1)**2*(f + 1)/7
Factor -92/3 + 88/3*v - 19/3*v**2 - 1/3*v**3.
-(v - 2)**2*(v + 23)/3
Suppose -42/5*m + 2/5*m**2 - 92/5 = 0. Calculate m.
-2, 23
Let a be (8/180)/((-8)/(-10)). Let f(l) be the second derivative of 2*l + 0 + 3*l**2 + a*l**4 - 2/3*l**3. Let f(o) = 0. Calculate o.
3
Let o(d) be the second derivative of -27*d**7/35 + 42*d**6/25 + 34*d**5/25 + 4*d**4/15 + 2*d - 1. Factor o(r).
-2*r**2*(r - 2)*(9*r + 2)**2/5
Let p(a) be the third derivative of 0 + 0*a - 10*a**2 + 1/300*a**5 - 1/30*a**3 + 0*a**4. Factor p(d).
(d - 1)*(d + 1)/5
Let d = -401 + 406. Let z(m) be the third derivative of m**2 + 0 - 9/2*m**4 + 2*m**3 + 81/20*m**d + 0*m. Factor z(x).
3*(9*x - 2)**2
Let y(z) be the second derivative of -z**7/840 + z**6/480 + 3*z**2 + 15*z. Let r(j) be the first derivative of y(j). Suppose r(u) = 0. Calculate u.
0, 1
Let c(d) be the third derivative of d**5/90 - d**4/12 - 36*d**2. Let c(w) = 0. What is w?
0, 3
Let u = -191 - -196. Suppose 0 = u*o + 2*o - 14. Suppose 2/9*n - 2/9*n**o + 0 = 0. What is n?
0, 1
Let p be ((-200)/(-350))/((-12)/(-14)). Determine q, given that -2/15*q**2 - 10/3*q**5 + p*q**4 - 32/15*q - 8/15 + 82/15*q**3 = 0.
-1, -2/5, 1
Suppose 7*w + 13 - 27 = 0. Let -13*c**w - 2 + 3*c**2 + 2 + 15*c - 5*c**3 = 0. What is c?
-3, 0, 1
Suppose 3 = -3*h + 3*c, -2*h + 0*c + 18 = 3*c. Factor 4*i + 3*i**4 - i**3 - 8*i**h + 8*i + 0*i**4.
3*i*(i - 2)**2*(i + 1)
Let x be 5*((-7)/(-5) + 1). Suppose x = 12*q - 8*q. Let 45*v**5 + 6*v**4 + 28*v**3 + 2*v**2 - 8*v**2 - 73*v**q = 0. Calculate v.
-1, -2/15, 0, 1
Let s(t) be the second derivative of t**6/15 + 2*t**5/5 + 2*t**4/3 + 13*t - 1. Factor s(m).
2*m**2*(m + 2)**2
Let k be 2 + 3 + 18/(-6). Suppose -2*i - 3*p + 18 = -4, 0 = k*i + 5*p - 30. Factor 0*a**3 + a**i + a + a**3 - 3*a**3.
a*(a - 1)**2*(a + 1)**2
Let u(m) be the second derivative of 2/11*m**2 + m + 1/66*m**4 - 1/11*m**3 + 0. Determine v, given that u(v) = 0.
1, 2
Let h(l) be the second derivative of -l**6/2700 + l**5/900 + 5*l**3/6 - 2*l. Let p(t) be the second derivative of h(t). Factor p(z).
-2*z*(z - 1)/15
Let q(s) be the first derivative of -2*s**2 - 3 + 0*s**3 - 1/36*s**4 - 2/135*s**5 + 0*s. Let g(v) be the second derivative of q(v). Suppose g(j) = 0. What is j?
-3/4, 0
Let j(l) be the third derivative of l**6/330 + 19*l**5/110 + 35*l**4/11 + 196*l**3/33 + 2*l**2 - 8*l. Factor j(w).
2*(w + 14)**2*(2*w + 1)/11
Suppose -2*h + 22 = -0*h. Let 4*w + 2*w**3 - 2 + 5*w**2 + 4*w - 2*w - h*w**2 = 0. Calculate w.
1
Let m(b) be the third derivative of -b**8/2520 + b**7/630 + 11*b**3/3 - 9*b**2. Let f(j) be the first derivative of m(j). Let f(l) = 0. Calculate l.
0, 2
Let m(o) be the first derivative of -5*o**6/18 - o**5/3 + 5*o**4/12 + 5*o**3/9 - 2. Solve m(v) = 0 for v.
-1, 0, 1
Let w be (-12*(-16)/(-1664))/((-6)/13). Factor 0 + 1/4*m**3 + w*m**5 + 3/4*m**4 - 3/4*m**2 - 1/2*m.
m*(m - 1)*(m + 1)**2*(m + 2)/4
Factor -1/2*h**3 - 2*h + 0 + 2*h**2.
-h*(h - 2)**2/2
Suppose 3*d = k + 17, -2*k - 16 + 2 = -d. Let z(x) be the second derivative of 0*x**2 - 1/12*x**3 - x + 1/40*x**5 + 1/24*x**d - 1/60*x**6 + 0. Factor z(l).
-l*(l - 1)**2*(l + 1)/2
Suppose 8 = 4*k - 0. Suppose 3*f + s - 2 = 0, 2*f - 10 = 2*s + k. What is u in 6 + 0*u**f - u**2 + 0*u**2 - 22 - 8*u = 0?
-4
Let x be 53 + 58330/(-1102) - 251/(-145). Determine f, given that 3/5*f**5 - 9/5*f**2 + x*f**4 - 6/5*f + 3/5*f**3 + 0 = 0.
-2, -1, 0, 1
Let z(a) be the second derivative of a**7/17640 - a**6/1260 + a**5/210 + 41*a**4/12 - 19*a. Let m(c) be the third derivative of z(c). Factor m(u).
(u - 2)**2/7
Let s(p) = -p**3 - 3*p**2 + 34*p + 76. Let b be s(-2). Factor -9*c**2 - 3/2*c**b + 6*c**3 + 6*c - 3/2.
-3*(c - 1)**4/2
Let v = -6 - -1. Let r(w) = -40*w**5 - 18*w**4 + 22*w**3 - 12*w + 12. Let f(z) = -16*z**5 - 7*z**4 + 9*z**3 - 5*z + 5. Let c(u) = v*r(u) + 12*f(u). Factor c(d).
2*d**3*(d + 1)*(4*d - 1)
Let n = -56 + 36. Let i be (-1)/(-6)*16*(-1)/n. Find h, given that 2/15*h**2 - 2/15*h**3 + 0*h - i*h**4 + 2/15*h**5 + 0 = 0.
-1, 0, 1
Let q(b) be the second derivative of -5*b**7/42 - 2*b**6/3 - b**5/2 + 5*b**4/3 + 5*b**3/2 - 58*b. Determine u, given that q(u) = 0.
-3, -1, 0, 1
Suppose 14/3 - 2*k**3 + 3*k - 11/3*k**2 = 0. What is k?
-2, -1, 7/6
Let l(n) be the second derivative of 0 + n**3 - 3/2*n**2 - 4*n - 1/4*n**4. Suppose l(u) = 0. Calculate u.
1
Let m(b) = -15*b + 648. Let u be m(43). What is f in 27/7*f + 18/7*f**2 + 12/7 + 3/7*f**u = 0?
-4, -1
Let m(p) be the first derivative of p**3/9 - 5*p**2/6 + 4*p/3 - 27. Find u such that m(u) = 0.
1, 4
Suppose -32/15*w + 24/5 - 2/15*w**2 = 0. Calculate w.
-18, 2
Let s = -4901 + 4904. Factor 18/5*a - 2*a**s + 6/5*a**2 + 0 + 2/5*a**4.
2*a*(a - 3)**2*(a + 1)/5
Let o(v) be the second derivative of -1/80*v**5 + 1/56*v**7 + 0*v**2 + 0*v**4 - 21*v + 0*v**3 + 0 + 1/60*v**6. Factor o(s).
s**3*(s + 1)*(3*s - 1)/4
Let c(u) be the first derivative of -u**5/5 - 15*u**4/4 + 27. Let c(m) = 0. What is m?
-15, 0
Let o(n) be the third derivative of -n**8/2520 - 4*n**7/525 - 29*n**6/900 - n**5/25 - 120*n**2. Solve o(v) = 0.
-9, -2, -1, 0
Let a(y) be the third derivative of y**8/280 + y**7/30 + 17*y**6/180 + y**5/10 - 10*y**3/3 - 22*y**2. Let s(k) be the first derivative of a(k). Factor s(r).
2*r*(r + 1)*(r + 3)*(3*r + 2)
Find l such that 5*l**3 + 597 + 85*l + 725 - 1182 - 50*l**2 = 0.
-1, 4, 7
Let k be 2*(-2)/(-4)*-1. Let y(m) = m**2 - m. Let c(z) be the first derivative of -7*z**3 + 9*z**2 - 3. Let p(h) = k*c(h) - 18*y(h). Factor p(d).
3*d**2
Let g(x) = -x**3 - 14*x**2 + 13*x - 28. Let h be g(-15). Let v(o) be the second derivative of 4*o + 0 + 3/20*o**5 + 0*o**h - 1/2*o**4 + 0*o**3. Factor v(l).
3*l**2*(l - 2)
Let c(h) be the first derivative of -4/21*h**4 + 1/14*h**5 + 4/21*h**3 + 1 + 0*h**2 - 1/105*h**6 + 2*h. Let g(s) be the first derivative of c(s). Factor g(k).
-2*k*(k - 2)**2*(k - 1)/7
Let o(b) be the first derivative of -25*b**6/6 + 6*b**5 + 35*b**4/2 - 140*b**3/3 + 75*b**2/2 - 10*b - 6. Solve o(v) = 0.
-2, 1/5, 1
Let s(w) = -7*w - 15. Let n be s(-4). Suppose -45*z**3 - 10*z - 30*z**4 - 5*z**5 + n*z**4 - 8*z**4 - 35*z**2 = 0. What is z?
-2, -1, 0
Solve 183 + 10*t**2 - 2*t**5 - 175 - 24*t**2 + 6*t**4 + 2*t**3 = 0 for t.
-1, 1, 2
Let u be (-5)/10 - (-74)/40. Let g = u + 1/4. Solve -4/5*a + 2/5*a**4 + 0 - g*a**3 + 2*a**2 = 0 for a.
0, 1, 2
Let p = 313/12 + -99/4. Let c(j) be the first derivative of j**2 + 1/24*j**4 + p*j + 4 + 1/3*j**3. Factor c(z).
(z + 2)**3/6
Let q(u) = 10*u**3 + 5*u**2 + 20*u - 30. Let j(r) = -7*r**3 - 6*r**2 - 21*r + 30. Let x(o) = -5*j(o) - 4*q(o). Factor x(y).
-5*(y - 3)*(y - 1)*(y + 2)
Find v such that 1/4*v**3 + 9/2*v - 21/4*v**2 + 10 = 0.
-1, 2, 20
Suppose -32*y = -33*y + 12. Factor -13 - 5*q**3 + 2*q**3 - 9*q**3 + 2*q**4 - 3*q**4 + y*q + 14*q**2.
-(q - 1)**2*(q + 1)*(q + 13)
Let i be ((-3)/84 - 2/(-7))*44. Suppose 6*z = i*z. Suppose -3/2*u**3 - 3*u**4 + z + 0*u + 0*u**2 - 3/2*u**5 = 0. Calculate u.
-1, 0
Let r(u) be the first derivative of -u**3/2 - 3*u**2/2 + 9*u/2 - 59. Factor r(q).
-3*(q - 1)*(q + 3)/2
Let f(m) be the second derivative of m**7/21420 - m**6/6120 - 7*m**4/12 + 3*m. Let v(r) be the third derivative of f(r). Let v(t) = 0. Calculate t.
0, 1
Let k = -75 - -83. Determine w so that -6*w**2 + 0*w**2 + 12*w**4 + 9 - 15 - k*w - 19*w + 27*w**3 = 0.
-2, -1, -1/4, 1
Factor -110/17*d**3 - 436/17*d**2 - 424/17*d + 16/17.
-2*(d + 2)**2*(55*d - 2)/17
Let x(u) = -2*u**3 - 10*u**2 + 4*u + 10. Let q(w) = -w**3 + w**2 - 1. Let n(g) = -2*q(g) - x(g). Factor n(v).
4*(v - 1)*(v + 1)*(v + 2)
Let g = 1/82 + 20/41. Factor -3/2*x**2 + g*x + 1.
-(x - 1)*(3*x + 2)/2
Factor -4/9*g**3 + 16/3*g**2 + 4/9*g - 16/3.
-4*(g - 12)*(g - 1)*(g + 1)/9
Let y(h) = -h**3 - 9*h**2 - 9*h - 5. Let u be y(-8). Let c = 762 - 760. Solve -8/5 - 28/5*k**u - 12/5*k**c + 28/5*k + 4*k**4 = 0 f | {
"pile_set_name": "DM Mathematics"
} |
*(-3*y - 9*y - 2*y) - 4*y + 0*y + 2*y to the form l*y + k and give l.
-464
Rearrange (-104*f + 70*f - 107*f)*(-f - 3*f + 2*f) + 0*f**2 + 3*f**2 - f**2 + (2 + 0 - 1)*(f**2 + f - f) to the form i*f**2 + q*f + r and give i.
285
Express 3*d - 3*d - 2*d**3 + (-d**2 - d + d)*(0 + 0 - d) - 7*d**3 - 5*d**3 + 4*d**3 - 8*d**3 + d**3 - 5*d**3 as p + n*d + q*d**3 + g*d**2 and give q.
-21
Rearrange (-566 + d**2 + 0*d + 558 - d)*(-d + 3*d + 0*d)*(-8 + 3 + 3) to q*d + z + p*d**2 + f*d**3 and give f.
-4
Express (4 - 1 - 2)*(-16 - 39*b + 34 - 19) + b + b - b + (0 + 1 - 2)*(-2 + 2 - b) + 0*b - b + 3*b as f + p*b and give p.
-35
Rearrange -4742 + 4745 + h**2 - 41*h**2 + 2*h**2 - h**4 to g*h**2 + s*h + l*h**4 + x*h**3 + k and give k.
3
Express (1 - 4 + 2)*(-3*m + m - m)*(-1 - 17 + 5)*(-3 - 4 + 5) as d + t*m and give d.
0
Rearrange 276 - 137 - 6*r**3 - 139 + 7*r**2 to v*r + s + q*r**2 + y*r**3 and give q.
7
Express -4*c + c + 5*c - 491*c**2 + 122*c**2 in the form f + i*c**2 + k*c and give k.
2
Express 17*p**2 + 22*p**4 + 213 + 3*p - 211 - 16*p**2 in the form a*p**2 + f + u*p + n*p**4 + r*p**3 and give n.
22
Rearrange -29*j**2 - 46066*j + 4*j**3 + 46066*j to the form v*j + y + p*j**2 + t*j**3 and give t.
4
Rearrange -852*h**2 - 7*h + 1655*h**2 - 837*h**2 to the form n + a*h**2 + z*h and give a.
-34
Express -39*t + 107*t + 382*t in the form j + l*t and give j.
0
Rearrange 169*n**2 - 21 + 23 - n**3 - 67*n**2 - 71*n**2 + 4*n to u*n**2 + o + c*n**3 + t*n and give c.
-1
Rearrange -14*z + 82*z + 30*z + 153*z to h + c*z and give c.
251
Rearrange 1 - 1 + 3*v**4 + (-3*v + 3*v + 2*v**2)*(7691*v**2 - 7695*v**2 + 18 + 42) to the form l*v + f + b*v**3 + y*v**4 + d*v**2 and give d.
120
Express (727*z - 727*z - 95*z**3)*((2*z + z - 2*z)*(-6 + 4 + 4) + 3*z + 1 - 1 + 4*z + z - 4*z) in the form n*z**4 + m*z + h + q*z**2 + r*z**3 and give n.
-570
Express (-4 - 3 + 5)*(697*r + 78 + 15 - 695*r) as h + v*r and give v.
-4
Express -119*y + 171*y - 7*y**2 + 235*y + 20*y + 4*y**3 + 8*y**2 in the form i*y**2 + v*y**3 + r + a*y and give a.
307
Rearrange (-11 - 51 - 14 - 46)*(-3*v - 3*v**4 + 3*v) to the form w + j*v + t*v**2 + m*v**3 + y*v**4 and give y.
366
Express 54 - m**4 - 2*m - 2*m**2 - 55 + 10*m**3 + 2*m as u*m + b*m**2 + i + g*m**4 + c*m**3 and give g.
-1
Rearrange -4529*q - 3936*q + 9714*q to d + y*q and give y.
1249
Rearrange (-54*v**4 + 52*v**4 - 3*v + v)*(-97 + 134 + 392) to q*v**4 + p*v**3 + o + t*v + y*v**2 and give t.
-858
Rearrange (5*t + 0*t + 7*t)*(-8*t + 57*t + 29*t) to the form l*t + g + o*t**2 and give o.
936
Rearrange -k**3 + 362*k**2 + 2*k**3 - 319*k**2 to n*k**3 + z + o*k**2 + q*k and give n.
1
Rearrange -26*k - 38*k + 73*k - k**2 to the form q + f*k + w*k**2 and give f.
9
Express 79*f**4 - 163*f**4 - 9 - 5*f**2 + 82*f**4 - f**3 as j*f**2 + m*f**3 + q*f**4 + o + n*f and give j.
-5
Express 3*c**2 - 2*c**2 + 29*c - 17*c - c**3 - 17*c in the form z*c**3 + j + d*c + g*c**2 and give d.
-5
Rearrange -805 + 2*y**2 - 799 - 2*y + 1618 to the form o*y + m + h*y**2 and give o.
-2
Rearrange (0 - 4 + 3)*(-107*b**2 - 393*b**2 - 104*b**2) to a + j*b + c*b**2 and give c.
604
Rearrange (-2 + 0 - 1)*(186*c - 57*c - 8*c)*(15 - 3*c - 15)*(-3*c + 3*c + 2*c**2) to the form z + r*c**3 + i*c**4 + s*c + g*c**2 and give r.
0
Express 4*n**2 + 128*n - 3*n**2 + 14*n as c + h*n**2 + m*n and give h.
1
Rearrange 2*h - 2 - 3*h**3 + 2 + 367*h**2 - 394*h**2 to the form j*h + a*h**2 + i + m*h**3 and give m.
-3
Express -276*s + 292*s - 974*s as h + f*s and give f.
-958
Rearrange 3*q**2 - 4*q**2 + 7 - 3*q + 6*q**4 - 5*q**4 to the form a*q**3 + g*q**4 + j + v*q + h*q**2 and give g.
1
Express (4*q - q + 8*q)*(3 + 0 - 5) - 2*q - 10*q - 5*q in the form k + t*q and give t.
-39
Rearrange (2*z - 3*z - z)*(-7*z + 4*z + 8*z) + (z**2 + z**2 - 3*z**2)*(3 + 3 - 2 + (-2 + 3 - 3)*(4 + 1 - 3) + 5 - 1 - 2) to f*z + p + m*z**2 and give m.
-12
Express -1 - 8*k + 3 - 21*k + 5*k - 4 as h + a*k and give h.
-2
Express -2*i**4 - 324*i + 326*i + 0*i**3 - 2*i**3 + 12 as l*i**2 + z + s*i + y*i**4 + m*i**3 and give y.
-2
Express -3*a**4 + a + 2*a**2 - 3 + 8*a**4 - 4*a**4 - 4*a**3 as v*a + i*a**3 + t*a**4 + n + q*a**2 and give q.
2
Rearrange -2*a**4 - 3*a**4 + a**4 + 0*a**4 + a**4 + 20*a**4 - 2*a**4 + 2 - 2 + (3 + 2 - 6)*(2*a**4 - 4 + 4) to u*a + j*a**4 + h + t*a**2 + m*a**3 and give j.
13
Express (-6 - 2 - 1)*(-t + 5*t - t) in the form g*t + d and give g.
-27
Rearrange -4*b - 1 - 5*b**2 - 26*b + 32*b + b**4 - 3*b**3 to n*b**3 + r + v*b**4 + m*b + k*b**2 and give r.
-1
Rearrange -1282 + 963*b + 534*b + 1282 to u*b + n and give u.
1497
Rearrange (-2*y**2 - 3 + 3)*(0*y + y - 3*y) + (3*y + y + 0*y)*(26*y**2 + 4*y**2 + 2*y**2) to the form q*y + n*y**2 + g*y**3 + v and give g.
132
Rearrange -5 + q**3 + 62*q - 2*q**3 - 2*q**2 - 71*q to the form i*q + c*q**3 + s + o*q**2 and give i.
-9
Rearrange (-26*i + 2 - 4*i**3 + 26*i)*(5 - 44 - 21) to a + h*i + x*i**2 + f*i**3 and give a.
-120
Express 2 + 115*z**2 + 0 - 4 - 24*z**2 + 0 in the form x + m*z + g*z**2 and give x.
-2
Rearrange 6*q**4 + 5*q**4 - 9 - q**3 + 2*q + 9*q**4 - 26*q**4 + 7*q**4 to c*q**2 + o*q**3 + y + n*q + i*q**4 and give n.
2
Rearrange 2*b**3 + 118*b**2 - 12*b**2 + 5*b**2 + b**3 to h*b**3 + c*b**2 + g*b + n and give c.
111
Rearrange 7*s - s - 258*s**2 + 289*s**2 to the form u + v*s + d*s**2 and give d.
31
Rearrange -77*x**2 - 1 + 145*x**2 + x - 73*x**2 to the form g*x**2 + y*x + w and give g.
-5
Rearrange -19*a**3 - 2*a**2 + 18*a**3 + 0*a**2 + 11*a**3 - 5*a to the form g*a**2 + r*a + k*a**3 + z and give k.
10
Rearrange -105 - 241 - 20 + 0*x + 2*x - 786 to the form o + h*x and give o.
-1152
Express -u**2 + 37*u**4 - u**3 - 3 + 26*u - 36*u**4 - 23*u as g*u**4 + n*u**3 + q + i*u**2 + k*u and give n.
-1
Express (182*a + 176*a + 18 - 353*a)*((-a + 3*a - 4*a)*(3*a - a - 3*a) + a**2 + a - a) in the form o*a**2 + x + w*a + l*a**3 and give o.
54
Rearrange (41*o**2 - 17*o**3 - 41*o**2)*(-2 + 6*o + 2) to n*o + a*o**2 + v*o**4 + f*o**3 + c and give v.
-102
Rearrange -6*s**2 + 47 - 2*s**3 - 12 - 20 - 14 to y*s**3 + a*s + c + x*s**2 and give x.
-6
Express 84*w**4 - 11 + 3*w**2 + 56*w**4 + w - 142*w**4 as n*w + y*w**3 + u*w**2 + x*w**4 + d and give u.
3
Rearrange (17*g + 3*g - 4*g)*(-1 - 4 + 7)*(-1 + 2 - 4) to b*g + c and give b.
-96
Rearrange 4*s**2 - 24*s**3 + 15*s**3 - 3*s**2 + 4 + 4*s**4 + 7*s**3 to the form g*s**4 + h*s**3 + k + f*s**2 + l*s and give g.
4
Rearrange (-34 - 18 - 3)*(-3 + 3 - 3)*(-4 - 9*z**4 + 4) to the form k*z**4 + o*z**2 + w*z + v + c*z**3 and give k.
-1485
Rearrange 184*p + 559*p + 344*p to c*p + y and give c.
1087
Rearrange 158 - 115 - 8*l - 80 to the form i*l + g and give i.
-8
Rearrange 2*g**3 - 3*g**3 + 0*g**3 + (-3*g - 2*g + 6*g)*(369*g**2 - 540*g**2 - 754*g**2) to the form j*g**2 + d + z*g**3 + c*g and give z.
-926
Rearrange (-2 - 1 + 2)*(p + 55*p**3 - 1 + 62*p**3 - 82*p**2 - 119*p**3) to f*p**2 + b + g*p**3 + o*p and give b.
1
Express -14*c**2 - 37*c**2 - 3*c**2 as q + y*c**2 + m*c and give q.
0
Rearrange -166*c - 69*c + 13*c to v*c + i and give v.
-222
Express (-56 + 101 - 63)*(2*i - 3*i + 4*i)*(i**3 - i + i) as f*i**3 + y*i**4 + w + p*i**2 + d*i and give y.
-54
Express 57*c + 294*c + 5 - 5 as y + g*c and give g.
351
Rearrange (53*m + 48*m - 55*m)*(-2 + 1 - 1 - m) to f*m**2 + v*m + w and give v.
-92
Rearrange -y - 18 + 3*y**2 + 2*y**3 + 28 - 6 + 4*y**4 - 7 to f*y + p*y**4 + s*y**3 + r*y**2 + j and give s.
2
Express ((0 + 2 - 1)*(2 - 7 - 2) + (-1 - 1 + 6 + (3 - 2 + 0)*(0 + 2 - 3))*(-2 - 2 + 8))*(2*o - 2*o + 2*o) in the form v*o + k and give v.
10
Express -1 - 133*o + 140*o - 2 in the form g + k*o and give g.
-3
Rearrange (-170*t**2 - 345*t**2 + 2*t**2)*(-4*t**2 + 3*t**2 + 0*t**2) to the form g*t**3 + b*t**2 + z*t + w*t**4 + j and give w.
513
Express -217 + 110 + 31*l + 106 + 6*l in the form r + m*l and give m.
37
Express (-479 + 5*d + 6*d + 527)*((-1 - 3 + 3)*(-4 + 2 + 1) - 3 + 3 - 2) as u*d + s and give u.
-11
Rearrange -z**3 - 214*z**2 - 455*z**2 - 2*z - 188*z**2 - 8*z**2 - z**3 - z**4 to l + r*z**2 + y*z + x*z**4 + t*z**3 and give x.
-1
Express 337*i**2 - 18*i - i**3 - 337*i**2 + (-3*i + 11 - 11)*(-i**2 + 2*i**2 + 2*i**2) in the form x*i**3 + p*i + m*i**2 + u and give p.
-18
Express (-3 - 2*b + 3)*(-b + 0*b - b)*(-44 - 63 + 4) as h*b + z*b**2 + j and give z | {
"pile_set_name": "DM Mathematics"
} |
r - 5*p - q for r.
-5
Suppose 5*d + 7 = -7*h, -21*h + 13 = -16*h + d. Solve 13*k - 28 = 5*q + 9*k, h*k = -4*q - 8 for q.
-4
Let u be (-192)/(-46) - 1020/5865. Solve u*g + w = -21, 2*g + 13 = -3*w - 0*w for g.
-5
Let o be ((7/(-14)*0)/(-1))/(4 + 0). Solve 5*d + b + o*b + 5 = 0, 4*b - 3 = 3*d for d.
-1
Let w(z) = 2*z**2 - 39*z - 841. Let r be w(-13). Solve 4*h - 2*a = -14, 0 = h + 3*h - r*a + 8 for h.
-5
Let x(y) = y**2 + 124*y - 246. Let k be x(2). Let b be (1 - 0)*(-10)/(-2). Suppose -3*l + 36 = l. Solve -s = b*q - l - k, -4*s - 9 = -3*q for s.
0
Let t be -8 + 10 - (2 + (-3)/(-3)). Let r be t/(-1)*-5*(-1 + -4). Suppose r*p = 30*p - 20. Solve 5*x - p*j = -2, -6*j = -3*x - 2*j - 6 for x.
2
Let v be (2 + 10 - -7) + 3. Let q be 8/(-16)*v + 20. Let t(l) = -2*l - 4. Let s be t(-4). Solve 6 = -x - 4*b - q, 4*x + 12 = -s*b for x.
1
Let r(p) = -2*p + 29. Let c be r(-10). Suppose c = 3*u + 4*u. Let m be (-2 - -1)/(27/u - 4). Solve -5*j = -h + 1 - 0, 5*j - 3*h = m for j.
-1
Suppose 4*q + i - 5*i = 104, -3*q - 2*i + 73 = 0. Let u = 28 - q. Suppose 8 = u*h + 2*t, 3 = 2*h - 3*h + 5*t. Solve 5*o + 4 = 4*g, 0*o + 8 = -h*o for g.
-4
Suppose -h - o = 0, -3*h - 5*o = -6*o - 40. Let t be (1 - 0)/((-1)/(-4)). Solve -10 = 5*m + 2*p + p, -h = t*m + 2*p for m.
-5
Let y = -8219 + 8239. Solve -16*w + 4 = 3*s - y*w, 4*w = s - 4 for s.
0
Let g = 10423 - 10397. Solve -o = -2*b + 4*o + g, -4*b = -5*o - 32 for b.
3
Let k(f) = -43*f + 243. Let o be k(15). Let j = o + 406. Solve 4*i + q - j*q + 26 = 0, -4*i = 3*q + 14 for i.
-5
Let u(d) = -7*d + 106. Let g be u(14). Suppose 2*z - 10 = 0, g*x + 20 = 9*x + z. Solve 25 = -5*b, -2*b - 3*b = -2*q + x for q.
-5
Suppose 0 = 6*c - 27 - 15. Suppose -c*z + 44 + 5 = 0. Let q be 238/22 - z - 4/(-22). Solve 0 = 3*s + q - 1, -4*v + 2*s = -18 for v.
4
Let z be 1/(-4) + 339/12. Let j be (-6)/((-30)/z - (-12)/(-28)). Solve -j*s - 3*r + 14 = 0, 3*s + 2*r - 6 = 5 for s.
5
Suppose -4*m = 20, -4*h + 3*m + 658 - 83 = 0. Let q = -136 + h. Solve -q*c + 3*i + 12 = -i, -4*i - 24 = 2*c for c.
-2
Let y be ((-114)/(-33))/(-19) - -1*(-35)/(-11). Solve -5 = 4*u - n + 3, 7 = 5*u + y*n for u.
-1
Let u(b) = -4*b**3 + 183*b**2 + 46*b + 3. Let d be u(46). Solve 5*t = 2*i + 1, 0 = -d*t + 4*i - 32 + 13 for t.
3
Let j = 9519 - 9514. Solve -4*q + 4 = 4*s, -3*s + 4*q + 5 = j*q for s.
2
Suppose -4*m + 4*u + 130 = 14, 0 = 4*m - 3*u - 115. Suppose b = 3*q + 5*b + 4, -5*q + m = -2*b. Solve -13 = -3*w + o, -w - q*w - 4*o + 16 = 0 for w.
4
Suppose -4 = d - 5*b, 34 = 5*d - 0*b + 2*b. Suppose -l - u + 3 = 0, -u + 4 = -l + 5. Solve 0 = 4*n + 5*i - l - d, 2*n - 4 = i for n.
2
Let u(x) = x**3 + x**2 - x - 1. Let g(n) = -7*n**3 - n**2 + 5*n + 16. Let y(o) = g(o) + 6*u(o). Let b be y(5). Solve 0 = b*p + 2*s - 12, -10 + 30 = -5*s for p.
4
Let o(l) = -3*l**2 + 49*l - 6. Let d be o(16). Suppose -2 = -d*t + 18. Solve -8 = t*q - 3*u, 2*q - 4*q + 16 = 3*u for q.
2
Suppose 115 - 83 = -5*n + 21*n. Solve -n*u - 10 = 5*q - 6*u, -u = 4*q + 29 for q.
-6
Let g be (2/30 - (-51)/85)/(1/3). Solve 0 = g*j - 3*p - 1 - 24, -4*p = j + 15 for j.
5
Suppose -12*s - 2 = -26. Let f(j) = 2*j**3 - 4*j**2 + 3*j - 2. Let t be f(3). Suppose 3*v - 31 = -t. Solve 8 = 2*d, -v*x - s*x = d + 4 for x.
-2
Let j(w) = -w**3 - 32*w**2 - 68*w - 236. Let i be j(-30). Solve 5*r + i*h - 2*h = -24, 4*r + 22 = -3*h for r.
-4
Suppose -4*i = 3*y + 581, 5*y - 5*i + 590 = 2*y. Let l = 136 + y. Let c = l - -59. Solve 0 = 3*b - 4*a, 3*a + 2*a + 15 = c for b.
-4
Let u = -737 + 770. Suppose 68 = u*b + 2. Solve t - m - 3*m = -10, b*t - m = -6 for t.
-2
Let d(a) = 2*a**3 - 52*a**2 + 31*a + 495. Let m be d(25). Solve -5*i + 5*w - m = 0, 0 = 5*i + w + 4*w - 10 for i.
-1
Suppose 6*p = 38 + 28. Let h be p/6 + 1/6. Solve -5*o - 3*z = -0*z + 6, -2*z = h*o + 4 for o.
0
Let l(d) = d**3 + 3*d**2 - 10*d - 20. Let r be l(3). Solve r*a + 2 = -2*q + 22, 4*a - 20 = -q for a.
5
Let d = -31 - -55. Suppose 4*p + 4*q - 32 = 0, 2*q = -2*p - 2*p + 24. Solve 5*h - p*r - 28 = 3*h, d = h - 4*r for h.
4
Suppose 0 = -8*k + 3 + 13. Solve 5*n = 5*a - 40, -3*n + 5*n = -k*a for a.
4
Suppose 22 = k + 20. Suppose -22 = -5*d - k. Let f be (0 - 2)*(-39)/78. Solve 4*p - f = 5*q, -p + 0*q = -d*q - 3 for p.
-1
Let q be (2*1/(-8))/((-433)/3464). Solve -4*b + 4*r = 36, -2*r + 2 = q*b + 8 for b.
-6
Let x be (-425)/(-17) - 6 - -254. Solve 0 = -v - 2*g - 1, g = -x*v + 270*v + 12 for v.
5
Let k = 782 - 781. Solve 0 = 3*o + 4*u - k + 6, -4*o = -2*u - 8 for o.
1
Let y be (10 - -4)*(2*30)/(-1). Let o be (-10)/6 + y/(-126). Solve o*t - 15 = 4*s + 12, 0 = -3*s - 3*t for s.
-3
Let u = -12 - -18. Let w = -180 + 201. Suppose -22*c = -w*c - 6. Solve 3*o + 3 + c = d, -2*o - u = 2*d for o.
-3
Let d = 305 - 304. Let u(z) = z**3 - 5*z**2 + 3*z - 6. Let q be u(5). Let k be 4/18 + 133/q. Solve h = -3*i - k, -2*h - 5 = d for i.
-4
Let p(r) = -2*r**2 + 13*r + 15. Let n be p(7). Suppose 0 = n*m - 11 - 61. Solve -y - 6 = -c, m + 11 = -5*y + 3*c for y.
-1
Suppose -13*j = -4 - 61. Suppose -7 = -3*w + 5*v, j*v - 9*v + 20 = 4*w. Solve 0*a = -3*a - 4*o, -w*o = -3*a for a.
0
Let g be -1 + ((-322)/12 - (-4)/(-24)). Let z = 0 - g. Suppose 4*s = -3*s + z. Solve 4*l - 1 = h, 2*l + 10 = -0*l + s*h for l.
1
Let w = -315 + 504. Suppose 0 = 2*u + 195 - w. Let j be 15/(u/(1 + -4)). Solve -3*s + 21 = 3*z, -4*s - 3*z + 8 = -j for s.
2
Suppose 0 = 245*g - 253*g + 16. Solve 0 = 3*o + 2*f - g, -2*f = o + f - 10 for o.
-2
Let c be ((-18)/(-18))/(-3 + (-1380)/(-459)). Suppose 35 = 160*m - c*m. Solve -5*y = 4*g - 17, -m*y + 2 = -g - 0 for g.
3
Let a be 4*-1*(35 + -16). Let p = -43 - a. Solve -30 = -5*i - 5*b + b, 4*i - p = -5*b for i.
2
Let l be (-4)/(-6) - ((-100)/(-15))/(-5). Suppose 5*u - 22 = -l. Solve -u*g + 4*i = -4, 1 = 2*g - 4*g + 5*i for g.
2
Suppose -319*b - 95 = -166*b - 172*b. Solve -v + b = f + 3, 0 = -3*v + 4*f - 1 for v.
1
Suppose 81 = 13*z - 16*z. Let a = -9 - z. Let c = a + -12. Solve 5*i + 3*s = 5, -c*i + 2*i = 2*s - 6 for i.
4
Suppose 2002 = 8*w + 6*w. Let o = w - 138. Let i = 6 + -1. Solve 3*j - 10 = y, 35 = o*y + i*j + 5 for y.
2
Suppose -4*r + 12 = -r. Suppose 3*s + r*t + 6 = -1, 2 = -2*t. Let n be (-5 + 7)/(s/(-2)). Solve -6*a = n*u - 11*a - 17, a + 15 = -5*u for u.
-2
Suppose -c - 2*c = -39. Suppose -32 = -10*t + 168. Let a = t - c. Solve -3*x - 4*l = -23, x = 2*x + l - a for x.
5
Let u be (-10108)/(-16) - 11 - (-2)/8. Let v = -606 + u. Solve 5*a + q = 6*q + 15, -5*a = q - v for a.
3
Let s(w) = 4*w - 10. Suppose 11*d = -76 + 131. Let h be s(d). Solve -5*l + 18 = -2*y + 1, h = 3*l - y for l.
3
Let a(r) = r**3 - 4*r**2 - 4*r + 7. Let s be a(5). Suppose 39*v - 144 = -27. Let q = v + 2. Solve y - 2*y + 20 = q*o, -3*o = y - s for y.
0
Let v(q) = 16*q**2 + 42*q - 476. Let g(l) = 3*l**2 + 8*l - 95. Let c(j) = 11*g(j) - 2*v(j). Let o be c(-12). Solve -5*k - 2 = -o*x, -x + 5 = 4*k - 7 for k.
2
Let d(b) = 9168 + 2*b**2 - 3*b - 9168 + 6*b**3. Let s be d(1). Solve -o + 0*o - s = 5*q, o + 5 = -4*q for o.
-5
Let j(n) be the first derivative of -n**2/2 - 10*n - 20. Let x be j(-7). Let p be -2 - (-1 + 2) - (x - 2). Solve c = -4*i - c - 4, -p*c + 4 = 0 for i.
-2
Let g(d) = d**3 + 112*d**2 + 839*d + 731. Let i be g(-104). Let o = 14 + -9. Solve -3*w + 12 = i*m, o*m + 2*w = 8 + 9 for m.
3
Let q = -819 + 825. Let w(i) = -i**2 - 2*i + 3. Let d be w(-3). Suppose 6*v - 10*v = d. Solve 4*b - a = 10, 4*b + a + 0*a - q = v for b.
2
Let q = 268 + 21. Let h = q - 284. Solve -8*a + 3*a = -15, -h*k + 11 = 2*a for k.
1
Suppose -3*k + 3*u = 9, 5*u - 4 - 11 = -2*k. Suppose -2*j - 16 = 7*m - 9*m, -4*m - 4*j = -8. Solve -5*i + 20 = -m*x, 5*i - i + 5*x + 2 = k for i.
2
Let n = -528 + -162. Let y = n + 695. Solve 8 = 4*o - x, -10 = -y*o - 2*x - x for o.
2
Let o(r) = -29 + 7 - 3*r + 6*r - 18. Let c be o(20). Let y = c - 18. Solve 2*u = 3*n - 2, y*n + 2*u + 1 + 1 = 0 for n.
0
Let p(n) = -2*n**3 + 46*n**2 - 40*n - 51. Let g(x) = -x + 5. Let v(r) = 2*g(r) + p(r). Let y be v(22). Solve -3*f + 5 = 2*k, -y*k - 8 = -f + 12 for f.
5
Suppose -7 = -5*y + 8. Let c(k) = 2109*k**y - 2108*k**3 - 5*k**2 - 17*k + 3*k + 5. Let w be c(7). Solve 4*g - 5 = -z + 7, -3*z - 32 = -w*g for g.
4
Let z = -60 + 62. Let c be (3 - (z + -1))*(-25)/(-10). Solve 0 = -x - 3*x - b - c, x - 10 = 2*b for x.
0
Suppose 4*p - 97*i + 101*i = 0, -5*p + 2 = 4*i. Sol | {
"pile_set_name": "DM Mathematics"
} |
ided by m.
12
Let s(f) = f**3 + 6*f**2 + 7*f - 1. Let g be s(-4). Let m be (24/4 - g) + (-57 - 1). Let x = -39 - m. Calculate the remainder when 76 is divided by x.
12
Let d(x) = 3*x - 7. Let o be (3 + -3)/(2/(-1)). Let k be 0 - (1 + (-6 - 2)) - o. Calculate the remainder when 41 is divided by d(k).
13
Let n(b) = b**2 - 42*b - 110. Let s be n(45). Suppose c = -c - 5*h + 45, -c = 2*h - s. Calculate the remainder when 278 is divided by c.
33
What is the remainder when 18347 is divided by ((-143)/52)/((-6)/24)?
10
Suppose -220*t + 6793 = -3767. What is the remainder when 548 is divided by t?
20
Suppose 53927 = 189*s + 5087 - 20712. Let x(l) = l**3 + 7*l**2 + 3*l + 2. What is the remainder when s is divided by x(-5)?
35
Let l(q) = 2*q**2 + 31*q - 5. Let d(p) = -p**2 + 9*p + 5. Let n be d(11). Let m be l(n). Let c = -36 + m. What is the remainder when 17 is divided by c?
7
Let z = -82 + 82. Suppose 2*f - 40 = -3*f - 3*k, -4*f - 3*k + 35 = z. Suppose 0 = -f*n - 2*n + 63. What is the remainder when 52 is divided by n?
7
Let l be -14*(-5 + 22/4). Let w(f) = -4*f + 125. What is the remainder when w(l) is divided by 14?
13
Let i(y) = 16*y - 94. Let u(w) = 14*w**3 - w**2 - 4*w + 3. Let d be u(1). Calculate the remainder when i(d) is divided by 11.
10
Let k = -117 + 120. Let r be k/(-12)*3 - (-15)/4. Suppose r*v + 5*t = 53, 3*t + 17 - 95 = -4*v. Calculate the remainder when 167 is divided by v.
20
Suppose 7*n + 675 = -2*n. Let r = n - -220. Calculate the remainder when r is divided by 37.
34
Calculate the remainder when 829 is divided by 3*275 + 180/(-20) + 6.
7
Suppose 5*m + 2*o + 3*o = 100, -m = -2*o - 20. Suppose 5*p = -3*w + 44 - 2, 5*p + 5*w - 50 = 0. Calculate the remainder when m is divided by p.
2
Suppose -29*n = -12181 + 2321. Suppose -14*i + n = 6*i. What is the remainder when 150 is divided by i?
14
Let b = 2166 + -1144. Let r = 1453 - b. Calculate the remainder when r is divided by 48.
47
Suppose 0 = 4*r - 3*r + 3*y - 17, -5*y = -r + 41. Let o = -12 + r. Calculate the remainder when 53 is divided by o.
11
Suppose -4*g = g + 10, 2*b = 2*g + 222. Let n = 193 - b. Suppose 5*c - 3*c + 4*u = n, -18 = -c + 4*u. Calculate the remainder when 101 is divided by c.
33
Let y = 5745 - 5632. What is the remainder when y is divided by 103?
10
What is the remainder when (-46 + 9)/(10/(-1670)) is divided by 103?
102
Suppose -47*i - 78*i - 960 = -19960. What is the remainder when 277 is divided by i?
125
Suppose 0 = -8*c + 2*c + 474. Let h = c - 223. Let t = 243 + h. What is the remainder when t is divided by 10?
9
Suppose 12 = 3*w, -11*w + 13*w = 2*p - 160. What is the remainder when 924 is divided by p?
0
Calculate the remainder when 698 is divided by (-7968)/(-30) - 9/((-675)/30).
166
Let z = 0 - -50. Calculate the remainder when z is divided by (11952/351 + (-6)/117)*(-2)/(-2).
16
Suppose -2*y + 10*y - 136 = 0. Let c(a) = a**2 - 17*a + 9. Let u be c(y). Suppose -50 = -u*z + 22. Calculate the remainder when 31 is divided by z.
7
Let s be 3/(-4)*56/(-21). Suppose -s*h + 5*u = 3*u - 166, 0 = -h - 5*u + 107. Let f(i) = 12*i - 102. Calculate the remainder when h is divided by f(10).
15
Suppose -1889 = -5*t + 4*r, -r + 5*r + 1512 = 4*t. Let g = 10095 + -10032. Calculate the remainder when t is divided by g.
62
Let f(g) = -10*g**3 - 3*g**2 + 4*g. Let x be f(1). Calculate the remainder when 261 is divided by x/2*-4 + -6.
9
Suppose -25*u + 30*u - 23*u = -234. Let p(c) = c**2 - 5*c + 2. Let i be p(5). Suppose i*q + 19 = 95. What is the remainder when q is divided by u?
12
Suppose -147*c + 3314 = -13528 - 16821. Calculate the remainder when 4578 is divided by c.
227
Let n(v) = -v**3 + 34*v + 253. What is the remainder when n(8) is divided by 4?
1
Suppose 0 = 4*a + x - 70, 51*a + 4*x - 33 = 54*a. Let h(d) = -d - 4. Let v be h(0). Let f = 12 + v. Calculate the remainder when a is divided by f.
5
Let l(j) = -j**3 + 3*j**2 + 71*j + 297. What is the remainder when l(-5) is divided by 10?
2
What is the remainder when 293 is divided by (-14)/(-2) - (-17)/(-153)*-531?
29
Let u(k) = 21*k + 545. Calculate the remainder when u(-23) is divided by 26.
10
Let x(b) = 1106*b - 8785. What is the remainder when x(8) is divided by 1/2*68/1?
29
Let m(o) = 167*o**2 - 1324*o - 8. Calculate the remainder when 468 is divided by m(8).
28
Let i(d) = -d**3 - 2*d**2 + 8*d + 18. Let v be i(-2). Suppose -v*u + 508 = 4*n + 3*u, 0 = 5*n - 2*u - 602. What is the remainder when n is divided by 32?
26
Suppose 0 = 20*q - 109 - 11. Let o(v) = 7*v + 3. Calculate the remainder when 89 is divided by o(q).
44
Let d = -42918 - -43273. What is the remainder when 1412 is divided by d?
347
Let q(w) = -3*w. Let u be q(-2). Suppose 3*c = u*m - 8*m + 201, -5*c - 4*m + 335 = 0. What is the remainder when c is divided by 22?
1
Suppose 0 = -5*q + 3*u + 8, 5*q + 5*u + 6 = 46. Let l = 173 + -168. What is the remainder when l is divided by q?
1
Suppose 0 = p - 947 + 940. Suppose -c + 4*c - 4536 = 0. Calculate the remainder when c/33 - 4/(-22) is divided by p.
4
Let u be (0 + -22)/2 - (-246)/123. What is the remainder when (-4500)/(-55) - u/(99/2) is divided by 28?
26
Suppose -3*b + j + 45 = 0, -50 = -0*b - 4*b - 2*j. Suppose 0 = b*w - 235 - 941. What is the remainder when w is divided by 15?
9
Suppose d - 4*d + 3*k + 105 = 0, 2*k = 5*d - 163. Let v(u) = -28*u + 13*u - 59 + 4*u + u**2. Calculate the remainder when v(20) is divided by d.
28
Suppose 6*f - f = 55. Let b be (-19 + 17)*22/4. Calculate the remainder when f is divided by -2 + 0 - 88/b.
5
Let f(v) = 196*v - 359. What is the remainder when 86 is divided by f(2)?
20
Let g(n) = -n**2 - 8*n + 10. Suppose -87*y + 78*y + 6849 = 0. Suppose 731 - y = -2*j. Calculate the remainder when j is divided by g(-8).
5
Let k be 2/(-13) - ((-3294)/117 - 5). Suppose 0 = 26*f - 25*f - k. What is the remainder when 130 is divided by f?
31
Let u be 14/(-21) + 16/6. Let r(c) = -c + 1. Let z(y) = -18*y - 3. Let f(l) = u*r(l) - z(l). Calculate the remainder when 39 is divided by f(1).
18
Suppose 4*o - 1852 = -4*p, 3*p = 4*p - 4*o - 468. Suppose -24*w + p = -8*w. What is the remainder when w is divided by 3*(-1 + 26/6)?
9
Let q(g) = -3*g - 1. Let k(j) = 5*j + 76. Let i(a) = k(a) + 3*q(a). Let x(s) = 20*s - 7. Calculate the remainder when x(6) is divided by i(11).
26
Let i = 603 + -599. Suppose -4*s - 23 = -a, 2*s - i*s = 4*a - 56. What is the remainder when a is divided by 34/8 + (-2)/8?
3
Suppose -152 = 9*d - 755. Let b = 16 - 43. What is the remainder when d is divided by (0 - 1)*(b + 3)?
19
Let r = 61 + -43. What is the remainder when 3 + 56/(-4) + 222 is divided by r?
13
Suppose c = -787 + 1634. Calculate the remainder when c is divided by 122.
115
Suppose 5*w + 16*w - 6*w = 480. Calculate the remainder when w is divided by 31.
1
Let s be 5238/14 - (-10)/(-70). Let q = 390 - s. Calculate the remainder when 62 is divided by q.
14
Let s be 15/3 + 0/(-7). Let v(l) = 2*l**2 - 5*l + 32. What is the remainder when v(s) is divided by 15?
12
Let r = 618 + -566. Calculate the remainder when 185 is divided by r.
29
Let t = 18118 + -17970. What is the remainder when t is divided by 83?
65
Let c = -38 - -65. Let z(s) = s**3 + 10*s**2 - 1984*s - 19747. What is the remainder when z(-10) is divided by c?
12
Let t = 72 + 4. Suppose -3301 = -t*x + 1867. Suppose -3*z = 3*j - 2*j - 67, z = j + 25. Calculate the remainder when x is divided by z.
22
Let f = -12794 + 12920. Calculate the remainder when f is divided by 76.
50
Let k(g) = 3*g**2 + 16*g + 81. Let h be k(-7). Suppose -x = 3*x - 4*m - h, 4*x - 104 = m. Calculate the remainder when 647 is divided by x.
22
Let j = -185 + 173. Suppose 2*a = -3*a + 45. Calculate the remainder when 17 - -28*3/j is divided by a.
1
Let g = 43 - 28. Suppose 6*a + p - 107 = 4*a, 3*p - 156 = -3*a. Calculate the remainder when a is divided by g.
10
Suppose 5*w - w + 8 = 0. Suppose 11*l + 0*l + 715 = 0. Calculate the remainder when l/w + (-3)/(-6) is divided by 7.
5
Suppose 0 = 4*m - 0 - 8. Suppose m*p + 6*p = 824. Let b(z) = 6*z - 34. Calculate the remainder when p is divided by b(7).
7
Suppose 396 = 11*u + 99. Calculate the remainder when 7936 is divided by u.
25
Let c be (-4 + 444/9)*3. Suppose -7*y + 60 = -c. Calculate the remainder when 79 is divided by y.
23
Suppo | {
"pile_set_name": "DM Mathematics"
} |
de k(-14)?
True
Does 54 divide (-1 + 0)*2/(-3)*(-48447)/(-14)?
False
Let w = -1823 + 2634. Let k = 1396 - w. Suppose 4*h + k = 9*h. Does 13 divide h?
True
Let x be -33 + 0 - (-2)/(-1). Let k = -570 + 541. Let f = k - x. Is 6 a factor of f?
True
Let x be (5 + (-3)/2)/(2/8). Let h = 416 + x. Is h a multiple of 25?
False
Let f(p) = -4826*p + 3161. Is 258 a factor of f(-6)?
False
Let b(y) = -661*y**3 + y**2 - y. Let n be b(-1). Let l = 93 + n. Is 20 a factor of l?
False
Suppose 0 = -j + 7*j + 276. Let k = j - -51. Let a(w) = w**3 - 3*w**2 - 9*w + 8. Is 3 a factor of a(k)?
False
Let p(d) = d - 8. Let v be p(-2). Does 8 divide 2/(-4) + (-305)/v?
False
Let o(q) = -7*q - 13. Let z(j) = j + 18. Let v(f) = -3*f - 35. Let w(c) = 6*v(c) + 11*z(c). Let t(r) = -5*o(r) + 4*w(r). Does 22 divide t(12)?
False
Let w(t) = 61*t**2 - 27*t + 385. Is 13 a factor of w(9)?
True
Suppose 0 = -14*w + 45276 + 81448 + 14998. Does 8 divide w?
False
Let r = 25599 - 9226. Does 32 divide r?
False
Let q(x) = 16*x**2 + 6*x + 48. Is 54 a factor of q(-15)?
False
Let n(a) = -a**2 + 6*a - 1. Let q(u) = -u**2 + 7*u + 4. Let t be q(7). Let v be n(t). Suppose -390 = -v*w - 12. Is 9 a factor of w?
True
Let i(b) = -2*b - 3. Let x be i(-2). Suppose -o + 27 = -x. Let l = o + 4. Does 16 divide l?
True
Suppose 0 = 200*g - 199*g - 16777. Is g a multiple of 18?
False
Let o(l) be the third derivative of -l**4/12 + 11*l**3/3 + 7*l**2. Let g be o(10). Suppose 192 + 66 = g*i. Is 15 a factor of i?
False
Let o be 33154/44 - (-4)/8. Is (8 + 0 + o)*(-3)/(-3) a multiple of 70?
False
Is 9 a factor of 3/(7 + -8 + 43919/21958 + -1)?
False
Suppose 4*w + 322 = 2. Let i = -61 - w. Does 10 divide i - (2 - 0) - (1 - 3)?
False
Suppose -20 = -x + 32. Suppose 2 = f, 4*g + 178 = -0*g - f. Let p = x + g. Is p a multiple of 3?
False
Let l(a) = a**3 + 2*a**2 + 8*a + 9. Let b be l(-4). Let w = b + 56. Does 14 divide w/(3*(-1)/(-42))?
True
Let a(r) = 2*r - 10. Let c be a(4). Let u be 3/1*(1 + c) + 5. Suppose -4*i + 1008 = -0*i + 3*j, -5*i + 1267 = u*j. Is i a multiple of 49?
False
Let s(z) = -10*z**3 - 3*z**2 - 60*z - 364. Is s(-6) a multiple of 93?
False
Suppose -19849 = -3*f + n, 12*f - 2*n + 6614 = 13*f. Does 36 divide f?
False
Suppose -2*l + 2*z = -l - 10, 3*l - 30 = 4*z. Let j = -177 - l. Let i = 302 + j. Does 23 divide i?
True
Let r be (-3)/2 - 35/(-10). Suppose -41*g = -53*g + 36. Suppose 4*y + 61 = k, -4*k + 79 = -g*k + r*y. Is k a multiple of 6?
False
Let j = 227 + -226. Is 51 a factor of (-504)/(-63) - -655*j?
True
Let g(s) = s**3 + 9*s**2 - 26*s - 20. Let t be g(-12). Let x = t + 254. Is 6 a factor of x?
True
Let y = 271 - 61. Let d = -94 + y. Is d a multiple of 16?
False
Suppose -5*x = -4*l + 27094, 5*x - 46855 = -9*l + 14139. Is 14 a factor of l?
True
Let g(m) = -m**3 - 34*m**2 + 32*m - 105. Let d be g(-35). Let p(v) = 23*v + 704. Does 91 divide p(d)?
False
Let k = 113 - 396. Let a be k/7 + (-15)/(-35). Let n = 56 + a. Is n a multiple of 8?
True
Let g(m) = 2*m - 7*m**2 - 10*m**3 - 7 + 3*m**3 + 6*m**3 - 3*m. Let w be g(-6). Does 4 divide 6/(-18) + w/(-3)?
True
Let f(q) = 64*q**2 + 161*q - 2699. Is f(16) a multiple of 9?
False
Let w(b) = 3*b - 1. Let x be w(1). Let p(y) = 18*y - 269. Let o be p(15). Is ((-707)/(-56) + o/(-8))*x a multiple of 9?
False
Is (5 - -41)*214 - -14 a multiple of 57?
False
Let m = 2 + -5. Let b be (m + 1)/(3 - 4). Let r(i) = 2*i**3 + i**2 - i. Does 18 divide r(b)?
True
Suppose a - 920 = -3*l, -4*l + 1233 = -10*a + 5*a. Suppose -13*h = -l - 577. Does 17 divide h?
True
Suppose -128 = -26*c + 22*c. Let y = 34 - c. Suppose 5*s = 3*i + 318, -2*s + y*i - 4*i = -140. Is s a multiple of 6?
True
Suppose 0 = -5*l - 15. Let b = l - -4. Is 4 a factor of (20/(-5) - -24)*b/1?
True
Let q(a) = 4*a**2 + 15*a + 221. Does 15 divide q(-16)?
True
Suppose 17355 = 3*c - 5*b, -90*c + 5*b = -89*c - 5755. Is c a multiple of 50?
True
Let m be -3 + 5 + -1 - 1. Suppose -k + w + 35 = 0, m = -3*k + 4*w - 35 + 135. Suppose y + 3*d - k = 1, -y = -5*d - 73. Does 9 divide y?
False
Suppose 13*t - 10517 = 31161. Is 14 a factor of t?
True
Let m be 2/6 + (-5 - 310/(-15)). Is -6 - m*10/(-1) a multiple of 17?
False
Let v be (-40230)/(-70) + (-2)/(-7). Let k = 767 - v. Does 6 divide k?
True
Let v = -85 - -75. Let i be ((-24)/v)/((-9)/(-585)). Suppose -i = -2*u - u. Is 12 a factor of u?
False
Suppose 24760 = -52*r + 12*r. Let f = r - -817. Is 6 a factor of f?
True
Let c be (-17)/(204/(-2012)) - 4/6. Suppose -16*u + 105 = -c. Is u a multiple of 17?
True
Is 278 a factor of (-497168)/(-552)*9*1?
False
Suppose 10*k = -10*k + 300. Is 11 a factor of (3/(-2))/((45/(-2442))/k)?
True
Suppose 0 = -8*o - 1168 + 9128. Suppose 13*v = 97 + o. Suppose 4*r + 3*k - 19 - v = 0, -120 = -5*r - 2*k. Does 3 divide r?
False
Let z = -9292 + 13452. Is z a multiple of 16?
True
Suppose -59*c - 48036 = -236541. Is c a multiple of 9?
True
Let z be 7 + -4*(-2)/(-4). Suppose -3*y + 2*y + 16 = z*f, -5*y = -2*f + 28. Is f*(-3)/(-24)*146 a multiple of 20?
False
Let q(y) = 36*y + 49. Let c be q(10). Let d = c - 218. Is d a multiple of 17?
False
Suppose -k + 4 = 4. Suppose 12*m - 10*m + 3*l - 1388 = k, -668 = -m + 5*l. Is 43 a factor of m?
True
Suppose -11*q = -2*q. Suppose 44 = 2*b + 4*t, 5*t - 20 = -q*t. Let i(f) = f**3 - 13*f**2 - 4*f + 15. Is i(b) a multiple of 22?
False
Let o = 27 + -17. Let u be (-3 - (-54)/o)/(4/10). Suppose -u*r = -56 + 2. Is 8 a factor of r?
False
Suppose -7*p + 9*p = -106. Let v = -114 - -209. Let u = p + v. Is u a multiple of 26?
False
Suppose 2*t - 2409 = -5*v, -3*t - t + v = -4851. Suppose 2*i - 597 = o, -4*o + t = 9*i - 5*i. Does 15 divide i?
True
Suppose -3*o - 2 = -2*t, -5*o + 5*t - 4 = 6. Suppose 5*z + 0 = -20, o*z = -3*r + 1351. Is 25 a factor of r?
False
Let d(h) be the first derivative of h**3/6 + 9*h**2 - 3*h - 7. Let f(y) be the first derivative of d(y). Is f(0) a multiple of 3?
True
Let h = -308 - -236. Is 6/2 - (h - (-9)/(-3)) a multiple of 13?
True
Let g be (9 - -396)*2/(1 + 1). Suppose g = 19*c - 16*c. Let b = -70 + c. Is b a multiple of 11?
False
Let x = 21 - 48. Let h = x - -78. Let s = h + -19. Is s a multiple of 11?
False
Suppose -33*c + 12 = -30*c. Suppose 0 = k + 4*r - 6*r - 133, c*k + 4*r = 520. Is k a multiple of 67?
False
Let l(j) = 113*j**2 - 3*j - 2. Let u be l(-1). Let v be 0*3/(-6)*-1. Suppose -3*y + 7 + 2 = v, 0 = -5*k + 2*y + u. Does 4 divide k?
True
Suppose 0 = 31*f - 249282 - 365262. Does 7 divide f?
True
Suppose -2*h - 3084 + 56 = -3*r, -5*h = -r + 1018. Suppose 185*n - r = 181*n. Is 13 a factor of n?
False
Let h(p) = -628*p + 446. Is h(-2) a multiple of 9?
False
Suppose 0*u = -5*u - 2*z + 246, -u + 5*z = -33. Suppose -43*a + 2*g - 469 = -u*a, 3*g = 3*a - 273. Is 5 a factor of a?
False
Let b(a) be the third derivative of -a**6/120 - 7*a**5/12 + 4*a**4/3 + a**3/2 - 6*a**2 + 3*a. Does 36 divide b(-36)?
False
Let l(q) = -q**3 + 34*q**2 + 13*q - 82. Let a be l(34). Suppose 2*z + a = 3*z. Does 8 divide z?
True
Suppose 5*v = 3*u + 6*v - 18, 23 = 2*u - 3*v. Suppose -u*z - 218 = -729. Is z a multiple of 7?
False
Suppose -20*d + 368600 + 101137 = 47*d. Is d a multiple of 44?
False
Suppose 4*a + 2989 = 2*x + 3*x, 4*a - 2384 = -4*x. Suppose -x*i + 595*i + 408 = 0. Is 6 a factor of i?
True
Let p(b) = -424*b**2 + 3*b. Let d(f) = -288*f**2 + 2*f - 5. Let o(i) = -i**2 - 1. Let c(l) = d(l) - 5*o(l). Let n(r) = 7*c(r) - 5*p(r). Does 28 divide n(-1)?
True
Let j(l) = -19*l**3 + 10*l**2 + 11*l - 10. Let a be j(5). Is 13 a factor of ((-85)/25 + 1)*a/12?
True
Let i(u) = u**3 + 8*u**2 + 3*u + 8. Let g be i(-7). Let w(o) = o**3 + 4*o**2 - 5*o - 6. Let q be w(-4). Let p = g - q. Is 12 a factor of p?
False
Let a(l) = -5498*l + 88. Is 38 a factor of a(-1)?
True
Let c = -12181 - -14578. Is c a multiple of 17?
True
Let m be 5128/9 + (52/(-18))/(-13). Let z = 8 + m. Does 29 divide z?
False
Suppose 0 = 5*h, 4*h - 3 = 3*v + 3. Let q be v + 72/39 + 41/13. Suppose 3*g + 1040 = 7*g - 2*w, q*g - 787 = -2*w. Is 44 a factor of g?
False
Let m(l) = 18*l**2 + 91*l + 694. Does 26 divide m(-8)?
True
Let n be 1/(-3) - 1744/(-3). Let y = 73 + n. Does 26 divide y?
False
Let m = -650 - -1397. Suppose 727 = 3*a - a - 3*x, -2*a + m = x. Is a a multiple of 14?
False
Let z = 36703 + -32959. Is z a multiple of 104?
True
Suppose 0 = 3*y + 3*k - 1893, | {
"pile_set_name": "DM Mathematics"
} |
Let r be 3 - ((-12)/3 - 1). Suppose -8*d = -8 - r. Let s(j) = 4*j**2 - j - 3. Let f be s(d). Solve -9 = -4*i + f for i.
5
Suppose 0 = 19*p - 23*p + 8. Suppose -p*o - 2*o = 4, 2*o - 4 = -3*t. Solve -5 = t*k - 13 for k.
4
Let v be ((-8)/(-20))/((-1)/(-10)). Suppose -2*b - 8 = -u, -v*u - 4*b + 2 = -6. Let o be 48/72*(3 + 3). Solve -u = o*i - 12 for i.
2
Suppose -4*h + 67 = 5*f - 2*f, -63 = -3*h + 2*f. Solve o - h = -15 for o.
4
Let a = -6 - -15. Suppose 0 = -2*l + 3*s - 5*s + 12, -6 = l + 4*s. Let c be l/3*a/2. Solve -5*m + c = -0 for m.
3
Suppose -4*t - 3103 = -3115. Let b be -2 - -1 - 2/(-2). Solve -t*a + a - 4 = b for a.
-2
Let l(i) = -i**3 + 4*i**2 - 5*i + 4. Let q be l(3). Let z be (q + 16/4)*-2. Let u = z - -9. Solve 5*w - 30 = -u for w.
5
Let l = 112 + -203. Let n = -71 - l. Solve -9*p + 5*p + n = 0 for p.
5
Let s(c) = -c**2 - 49*c + 158. Let z be s(-52). Solve 0 = 3*a - z + 11 for a.
-3
Let n(p) = p. Let q be n(1). Let t(i) = 4*i - 8. Let f(j) = -j - 1. Let c(s) = q*t(s) + 3*f(s). Let l be c(12). Solve 0*g = -g + l for g.
1
Let w(q) be the third derivative of -q**6/120 - 3*q**5/10 - 17*q**4/24 + q**3/3 + 8*q**2. Let u be w(-17). Solve 0*i = i + u for i.
-2
Let k = 260 + -249. Solve 0 = -k*a + 33 + 22 for a.
5
Let w be 0*((-7)/(-35))/(18/45). Solve w = 4*i - 3*i + 3 for i.
-3
Let v(m) = m**3 + 16*m**2 + 14*m - 10. Let i be v(-15). Let s be 3/i + 442/130. Solve -l - 6 = -s*l for l.
2
Suppose -2*s + 28 = -4*i, -s + 23 = -4*i + 13. Solve -25*h + s = -19*h for h.
3
Suppose -373*x + 376*x = 24. Solve -3*z - x = 1 for z.
-3
Suppose 0*k + 10 = 5*k. Suppose 0*r - 8 = -k*r. Suppose -r*a - 3*c - 8 = 0, 3*c + 5 = -7. Solve l = a - 5 for l.
-4
Let l be 46/14 - 6/21. Suppose c = l*c. Suppose 2*g - 12 = 2*q, -3*g + 56 - 14 = 3*q. Solve c = 3*k - k + g for k.
-5
Let j = 48 + -31. Suppose -4*d - 5*g + j = -0*g, -d + 5 = g. Solve 0*p = 2*p + d for p.
-4
Let n be 0/(-2) - (-3 + -2). Suppose 0 = -3*w + n*w. Solve -3*s = -w + 3 for s.
-1
Suppose -3*j = 5*v - 24, -10 = -2*v - 3*j + 2*j. Solve -v*c = -7*c - 4 for c.
-4
Let p = 20 - 10. Suppose 11*g - 6*g - p = 0. Let j be (-2 + g)*9/18. Solve 2*l - 9 + 1 = j for l.
4
Let d = 0 + -2. Let p = 17 + d. Suppose -2*u + 2*n + 2 = 0, u - 8*n = -3*n - p. Solve 0 = -u*z + 3 - 13 for z.
-2
Let p = 441 - 431. Solve p*w + 15 = 13*w for w.
5
Let h be (0 - 3)*28/(-42). Suppose -5*o + 6*o = h. Solve 4 = -2*z + o for z.
-1
Let w be -2 - 1/(2/(-4)). Solve w = 4*d + d - 25 for d.
5
Let p be ((-36)/20 + 1)/(2/(-65)). Let b = -20 + p. Solve -w - w = -b for w.
3
Suppose 12*l - 15*l = -5*n - 44, 48 = 5*l - 2*n. Solve -3*a - l = -7*a for a.
2
Let r be (-16)/1*4/(-8). Suppose -13*b + r*b = -25. Solve 4*u - b = 3 for u.
2
Let a(l) = l**2 - 24*l + 112. Let k be a(8). Let s(y) = 10*y. Let c be s(2). Let f = c + k. Solve -f*p - 3 = 13 for p.
-4
Let m = -381 - -395. Solve -12*b = 2*b - m for b.
1
Let v be 0*(-7 - (-10 + 2)). Solve v = -3*m - 17 + 5 for m.
-4
Let j(t) = -t**2 + 2*t + 4. Let f be j(3). Solve q - f = -4 for q.
-3
Let s = 5 + 22. Let u be 22/(-33)*s/(-2). Solve -3*y = -u + 3 for y.
2
Suppose 0 = 4*h + 19 - 143. Let u = h - 20. Solve -4*q + u = -5 for q.
4
Let t be (12/(-9)*-4)/(1/3). Suppose 0 = -6*l + 10*l - t. Solve 0*i = l*i + 12 for i.
-3
Let n be (3/(-2))/((-2)/(-12)). Let p be ((-2 + -2)/1)/2. Let s = p - n. Solve -s*h = -3*h + 20 for h.
-5
Suppose -3 = 2*v - 17. Suppose 2 - 5 = 4*n - 3*c, 0 = -n + 2*c - v. Suppose -3*k + 11 = w, -n*w = -k + 3*k - 5. Solve -15 = -k*y + y for y.
5
Suppose 2*j = -3*t - 214, t - 212 = 4*t + 4*j. Let d be 9/t - (-25)/16*2. Solve 0 = -d*h - 5 - 1 for h.
-2
Let x be (70/(-28))/(2/(-4)). Suppose -4*y - 8 = 4*f, 1 + 12 = -4*y - x*f. Solve -y*b - 12 = 3 for b.
-5
Let d(r) = r**2 + 9*r - 4. Let z be d(-9). Let j be (-1 + 15/(-3))*2/z. Solve c = -j - 1 for c.
-4
Let k = 16 - 28. Let y = k - -15. Suppose 3 = 2*d - 2*o - y, 4*d + 3*o = 26. Solve 3*h = d*h - 4 for h.
2
Let k = -46 - 28. Let t = -73 - k. Solve t = 5*s - 14 for s.
3
Let d be 430/43 - -2*3/(-2). Solve 11*z - d*z = -8 for z.
-2
Suppose -24 = -j - 2*j. Let v = 60 - 106. Let y = 50 + v. Solve j*g - y*g + 12 = 0 for g.
-3
Let r be 6 - (-160)/(-24) - (-76)/(-3). Let g = -15 - r. Solve -g*y - 4 = -7*y for y.
-1
Suppose -4*i = -i - 18. Let d = i - 4. Solve l = -d*l + 3 for l.
1
Let n(o) = -o**2 - 9 + o - 5*o**2 + 7*o**2. Let j be n(-5). Suppose -q - 2*y + 4 = 0, -2*y = 3*q + 3*y - j. Solve -p = -q*p - 5 for p.
-5
Let x(z) = z**2 - 4*z + 3. Let l be x(3). Let g(m) = m**3 + 7*m**2 + 4. Let a be g(-7). Suppose -5*f = -4*p - l*f + 7, 3*p = -a*f + 13. Solve -j = p + 2 for j.
-5
Let t = 597 - 597. Solve o + 1 - 4 = t for o.
3
Let d(a) = 7*a**2 - 12*a + 1. Let y be d(2). Suppose -4*n - v + 121 = 0, n + v - 152 = -4*n. Let t = n - 9. Solve 2 = y*g + t for g.
-4
Let d(u) be the third derivative of u**4/6 - 7*u**3/3 + 14*u**2. Let p be d(4). Solve 6*r = p*r for r.
0
Let s be -1 + -1 - (0 - (-15)/(-5)). Let h be (8/6)/(2/(-9)). Let x(a) = a**3 + 7*a**2 + 6*a. Let b be x(h). Solve s = -b*m + m for m.
1
Let f be -2*1/2*-5. Let k be (1 - 0) + 100/f. Suppose 3*w - k = 12. Solve 0 = -4*r - 3 + w for r.
2
Suppose -537*a + 539*a - 14 = 0. Solve a + 4 = -11*l for l.
-1
Let u(h) = h**3 + 8*h**2 + 15*h + 20. Let a be u(-6). Solve 30 = 4*y + a*y for y.
5
Let g = 35 + -21. Let p be 4/1 - 56/g. Suppose p = -v + 5*v. Solve -s = -v*s + 2 for s.
-2
Suppose -5*m + 14 = -2*l + 12, l = 3*m - 1. Solve 2*z + 7*z + 36 = m for z.
-4
Let k(n) = -6*n - 2. Suppose -4*l + 26 = -2. Let v be (-12)/21 + (-3)/l. Let d be k(v). Solve d*t + 20 = 4 for t.
-4
Suppose 18 = -w + 3*w. Suppose 2*d - d = -w. Let j = -5 - d. Solve -j*q = q for q.
0
Suppose 13 = h + 3. Let a(y) = -y**3 + 9*y**2 + 9*y. Let d be a(h). Let q = 12 + d. Solve 0 = q*k - 2 for k.
1
Suppose 14*t = 6*t + 40. Suppose -t*v = 11 - 36. Solve p = v*p - 4 for p.
1
Let a(r) = -9*r - 5*r**2 - 15 - 2*r**3 + r**3 - r**2 + r. Let x be a(-5). Solve 6*v - 3*v - 9 = x for v.
3
Let w be ((-44)/(-10))/(24/480). Let j = -88 + w. Solve 0*h - h + 2 = j for h.
2
Let k be 579/24 - (-23)/(-184). Solve -4*w - 4*w = k for w.
-3
Suppose -4*f + 37 = k, -2*f + 3*k + 49 = 2*f. Suppose f = -9*c + 28. Solve -5*b + c*b + 9 = 0 for b.
3
Suppose 14*j + 4*j = 36. Solve 3*s = j + 10 for s.
4
Suppose 0*t - 2*t = 3*d - 9, t = 5*d - 28. Suppose 0 = d*r + 5*r - 30. Solve r*j + 8 + 1 = 0 for j.
-3
Suppose 10 = 2*b - 6. Solve b*z = 6*z - 4 for z.
-2
Suppose 6*i = -12*i + 324. Solve 5*c + 33 = i for c.
-3
Let h(j) = 2*j**3 + 18*j**2 + 3*j - 1. Let t(w) = 3*w**3 + 18*w**2 + 4*w - 2. Let q(s) = 4*h(s) - 3*t(s). Let a be q(18). Solve -4*b + 3*b = a for b.
-2
Let x(i) = -i**2 - 4*i + 14. Suppose -2*b = 3*g + 8, 2*g + b = -b - 6. Let u be (g/4)/(1/12). Let m be x(u). Solve -3*q + 4 = -m for q.
2
Let c(t) = t**3 - 4*t**2 - 8*t - 19. Let h be c(6). Solve -11*f = h*f - 64 for f.
4
Let h(k) = 9*k**2 + 58 + 10*k - 57 + k**3 + 4*k. Let s be h(-7). Solve f = s - 3 for f.
-2
Suppose 11*k - 1663 = 141. Let p = -164 + k. Solve 5*n - 15 = -p for n.
3
Let v = 1081 + -1071. Solve 25 = 5*d - v*d for d.
-5
Suppose -10*d = -15*d + 3*q + 78, -4*d = -3*q - 63. Solve 15 + d = 6*v for v.
5
Suppose 0*b - 3*b - 2*u = 2, 3*u + 3 = 0. Solve q + b*q - 2 = 0 for q.
2
Let w be -7 - (12/(-4) + 3) - -10. Solve n + w*n = -n for n.
0
Let f = 787 - 782. Solve -1 - 14 = -f*a for a.
3
Let b(u) = -11*u**3 - 3*u**2 - 3*u - 1. Let x be b(-1). Suppose -36 = a - x*a. Solve 2*z = a*z - 10 for z.
5
Suppose 4*v + 51 = 15. Let g = 12 + v. Solve u = -g*u + 20 for u.
5
Let o be 2*(-9)/(-6)*50/6. Solve -o = 2*c + 3*c for c.
-5
Let u(i) = -3*i + 86. Let z be u(28). Let m(g) = 2*g**2 + 5*g + 3. Let o be m(-3). Let y be 4/o*3 + 1. Solve f - y = z*f for f.
-3
Suppose 6 = -3*b - h + 24, 15 = 5*h. Suppose -3*f + 59 = 23. Suppose 0 = -4*m - d + 50, -2*d = d + 6. Solve -b*v + m = -f for v.
5
Let o(w) = -w**2 - 12*w + 6. Let t be o(-12). Let c be (-2)/(-1 + -1) - -3. Suppose -c*k + 0 = -8. Solve -t = k*i + 2 for i.
-4
Let k be (-1016)/28 - 0 - 4/(-14). Let a be k/(-30)*(0 + 20/6). Solve -2*w = 2*w + a for w.
-1
Let t(c) = c**3 - c**2 + 2. Let x(y) = -y**2 + 4. Let j(z) = -z. Let w be j(2). Let l be x(w). Let v be t(l). Solve -1 = u - v for u.
1
Let o = -89 + 89. Solve o*a = 3*a + 9 for a.
-3
Let j = 568 - 130. Let v b | {
"pile_set_name": "DM Mathematics"
} |
d 2 w when four letters picked without replacement from {w: 1, b: 1, d: 2}?
0
Calculate prob of picking 1 x, 2 h, and 1 f when four letters picked without replacement from ahxqfqqhpqqqqxqhfqaq.
4/1615
What is prob of picking 4 f when four letters picked without replacement from ffofffff?
1/2
Two letters picked without replacement from pusbulhs. Give prob of picking 1 s and 1 l.
1/14
Calculate prob of picking 2 r when two letters picked without replacement from rrrfrrrrrrrrr.
11/13
Three letters picked without replacement from {n: 7, i: 6, k: 3, x: 3}. What is prob of picking 3 n?
35/969
Two letters picked without replacement from pbabrrraabprrrrrp. Give prob of picking 1 a and 1 b.
9/136
What is prob of picking 1 g, 1 k, and 1 n when three letters picked without replacement from {j: 4, k: 4, n: 3, g: 1, s: 1}?
6/143
Four letters picked without replacement from {f: 2, z: 1, n: 1, w: 2, b: 1, c: 2}. What is prob of picking 1 n, 1 w, 1 z, and 1 f?
2/63
What is prob of picking 2 c and 1 e when three letters picked without replacement from cajeaeajjcaaxae?
3/455
Three letters picked without replacement from {v: 3, q: 2}. What is prob of picking 2 v and 1 q?
3/5
Calculate prob of picking 1 r and 2 v when three letters picked without replacement from {v: 18, r: 2}.
51/190
Three letters picked without replacement from {y: 4, f: 1, t: 2}. Give prob of picking 3 y.
4/35
What is prob of picking 1 f, 2 e, and 1 l when four letters picked without replacement from {c: 5, f: 7, e: 2, l: 4}?
7/765
Calculate prob of picking 4 j when four letters picked without replacement from {c: 9, j: 10}.
35/646
What is prob of picking 1 q and 3 y when four letters picked without replacement from {q: 12, y: 7}?
35/323
Two letters picked without replacement from dbvvevhedvthhhd. Give prob of picking 1 d and 1 b.
1/35
Four letters picked without replacement from {s: 4, t: 5, k: 1, h: 4, j: 1}. What is prob of picking 2 h and 2 j?
0
Four letters picked without replacement from vxvvvcvvuvvvuc. What is prob of picking 2 u, 1 c, and 1 x?
2/1001
What is prob of picking 1 g and 1 r when two letters picked without replacement from {d: 5, r: 3, g: 3}?
9/55
What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 6, c: 7, m: 1}?
6/13
Three letters picked without replacement from ssggaa. What is prob of picking 1 g and 2 s?
1/10
What is prob of picking 3 m when three letters picked without replacement from msmmmnmmwnmn?
7/44
Two letters picked without replacement from {n: 2, d: 6, u: 2, f: 1}. What is prob of picking 1 n and 1 f?
2/55
Three letters picked without replacement from qckcchhkhch. Give prob of picking 1 k, 1 q, and 1 c.
8/165
What is prob of picking 2 d, 1 y, and 1 m when four letters picked without replacement from ddyddddydudmml?
16/143
Calculate prob of picking 2 y when two letters picked without replacement from {n: 5, y: 7, w: 1, e: 6}.
7/57
Two letters picked without replacement from {g: 2, u: 3, q: 1, p: 5, b: 7}. Give prob of picking 1 b and 1 g.
14/153
Four letters picked without replacement from nmbcwmwmcnbmbnm. What is prob of picking 1 b, 1 n, and 2 w?
3/455
Calculate prob of picking 2 c and 2 g when four letters picked without replacement from wqqccqwpgqwccg.
6/1001
Three letters picked without replacement from dgggddgggdggdgdd. What is prob of picking 3 d?
1/16
What is prob of picking 3 z and 1 e when four letters picked without replacement from {z: 9, e: 2}?
28/55
Two letters picked without replacement from {t: 5, z: 1, l: 4}. Give prob of picking 1 l and 1 z.
4/45
What is prob of picking 1 w and 3 y when four letters picked without replacement from yywyywsyyywwywywsy?
4/17
Two letters picked without replacement from xwxwewtw. What is prob of picking 1 x and 1 w?
2/7
Four letters picked without replacement from {x: 2, s: 14, z: 2, v: 1}. What is prob of picking 1 s and 3 z?
0
Two letters picked without replacement from yvryvoqc. Give prob of picking 1 r and 1 y.
1/14
Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {t: 2, w: 5, y: 1, e: 7, g: 3}.
1/51
What is prob of picking 1 m and 1 v when two letters picked without replacement from vvvmvmvddddvdvvdvd?
2/17
Calculate prob of picking 2 d when two letters picked without replacement from {l: 2, d: 3, g: 4, q: 8}.
3/136
Three letters picked without replacement from {q: 8, a: 2, x: 1, w: 2}. Give prob of picking 3 a.
0
Four letters picked without replacement from vbvvvvbsvvvvvv. What is prob of picking 1 b, 2 v, and 1 s?
10/91
What is prob of picking 2 p when two letters picked without replacement from {k: 2, b: 1, i: 5, w: 1, p: 3, j: 3}?
1/35
What is prob of picking 2 i when two letters picked without replacement from {f: 5, i: 2, t: 13}?
1/190
Calculate prob of picking 2 y when two letters picked without replacement from {q: 3, z: 5, y: 4}.
1/11
Four letters picked without replacement from {v: 3, e: 13, p: 1}. What is prob of picking 3 v and 1 e?
13/2380
Calculate prob of picking 2 u and 2 x when four letters picked without replacement from {m: 3, j: 1, x: 5, d: 1, u: 2}.
2/99
Four letters picked without replacement from {b: 2, m: 2, p: 2, s: 4, t: 2}. What is prob of picking 1 b, 1 p, and 2 s?
8/165
Two letters picked without replacement from {b: 2, t: 1, r: 9, h: 7, y: 1}. Give prob of picking 1 t and 1 r.
9/190
What is prob of picking 1 x and 2 v when three letters picked without replacement from {c: 2, l: 5, j: 9, x: 2, v: 2}?
1/570
What is prob of picking 2 t and 1 a when three letters picked without replacement from {a: 4, t: 3, c: 2}?
1/7
Three letters picked without replacement from {r: 1, f: 5, d: 5}. What is prob of picking 3 f?
2/33
Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bxxhxxxxxxxbxhx.
22/105
Two letters picked without replacement from lwjwhhjy. Give prob of picking 1 j and 1 l.
1/14
Calculate prob of picking 2 c when two letters picked without replacement from {w: 1, c: 3, x: 3}.
1/7
Two letters picked without replacement from {d: 4, w: 2, m: 6}. Give prob of picking 2 m.
5/22
Three letters picked without replacement from vcmmm. Give prob of picking 3 m.
1/10
What is prob of picking 3 e when three letters picked without replacement from eeeoeeo?
2/7
Three letters picked without replacement from {o: 1, b: 1, q: 1, p: 1, l: 2, z: 2}. What is prob of picking 1 o and 2 z?
1/56
Four letters picked without replacement from rzdkszrdzmmsrsr. What is prob of picking 1 s, 2 z, and 1 d?
6/455
What is prob of picking 1 p and 1 b when two letters picked without replacement from hvpbcvcvcvcvbdc?
2/105
Calculate prob of picking 1 l and 1 n when two letters picked without replacement from njnnjjfzzjl.
3/55
What is prob of picking 1 y and 1 x when two letters picked without replacement from yxzz?
1/6
Three letters picked without replacement from sasa. Give prob of picking 2 s and 1 a.
1/2
Calculate prob of picking 1 g, 1 t, and 2 u when four letters picked without replacement from truuuuutg.
10/63
Calculate prob of picking 3 j when three letters picked without replacement from {s: 8, v: 2, j: 8}.
7/102
Two letters picked without replacement from {m: 1, e: 1, v: 12}. What is prob of picking 1 m and 1 e?
1/91
Two letters picked without replacement from lpyoepl. What is prob of picking 1 e and 1 l?
2/21
What is prob of picking 3 x and 1 r when four letters picked without replacement from xrrbbbbbrxx?
1/110
Three letters picked without replacement from swjwctust. What is prob of picking 1 j, 1 t, and 1 u?
1/42
Three letters picked without replacement from {x: 1, t: 3}. Give prob of picking 3 t.
1/4
Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, h: 3}.
1/10
What is prob of picking 1 b, 1 w, and 1 c when three letters picked without replacement from ttwjsbc?
1/35
Four letters picked without replacement from {o: 1, b: 2, a: 1, f: 1, l: 1, g: 2}. What is prob of picking 1 b, 1 g, 1 o, and 1 l?
2/35
What is prob of picking 1 e, 1 d, and 1 l when three letters picked without replacement from {r: 1, j: 1, b: 3, l: 3, d: 2, e: 2}?
3/55
Calculate prob of picking 3 p and 1 b when four letters picked without replacement from {b: 10, p: 9, u: 1}.
56/323
Four letters pi | {
"pile_set_name": "DM Mathematics"
} |
What is next in 10607329, 10607325, 10607309, 10607275, 10607217, 10607129, 10607005, 10606839?
10606625
What is next in 2655, 5701, 8745, 11787, 14827, 17865, 20901?
23935
What is next in -867, -826, -797, -786, -799?
-842
What is next in 21378, 21385, 21392, 21399, 21406, 21413?
21420
What is the next term in 813, 3270, 7365, 13098, 20469, 29478, 40125?
52410
What comes next: -1706, -3122, -4538, -5954?
-7370
What is next in 25, 74, 55, -32, -187, -410, -701?
-1060
What is the next term in -32323, -32322, -32321, -32320, -32319, -32318?
-32317
What is next in -2661, -5327, -7987, -10641?
-13289
What is next in -752, -745, -710, -641, -532?
-377
What is the next term in 2421, 9626, 21637, 38454, 60077, 86506?
117741
What comes next: 666464, 1332925, 1999386?
2665847
What is next in -25101, -50203, -75305?
-100407
What is next in 503, 969, 1401, 1799, 2163?
2493
What comes next: 574, 549, 516, 469, 402, 309, 184, 21?
-186
What is next in 406, 805, 1210, 1627, 2062?
2521
What is next in 1392, 1856, 3112, 5556, 9584?
15592
What is the next term in -31641, -63282, -94923, -126564?
-158205
What is next in 306, 554, 968, 1548, 2294, 3206?
4284
What is the next term in -1500, -6011, -13532, -24063, -37604, -54155, -73716?
-96287
What comes next: 6505, 6510, 6531, 6574, 6645?
6750
What is next in -4828, -9725, -14620, -19513, -24404?
-29293
What is next in 11632, 11622, 11606, 11584, 11556, 11522, 11482?
11436
What comes next: 399, 528, 747, 1062, 1479?
2004
What is next in -811, -1153, -1493, -1831?
-2167
What is the next term in -523, -1041, -1569, -2107?
-2655
What is next in -485151, -485152, -485153, -485154, -485155, -485156?
-485157
What is next in 318, 1835, 4364, 7905, 12458, 18023?
24600
What is the next term in -9676, -19342, -29008?
-38674
What comes next: -2326, -2445, -2564, -2683, -2802?
-2921
What is next in 5035, 5004, 4949, 4870, 4767, 4640?
4489
What is the next term in -27, -135, -327, -603, -963, -1407, -1935?
-2547
What is the next term in 52583, 52584, 52585, 52586, 52587, 52588?
52589
What is the next term in 7, -60, -181, -374, -657, -1048, -1565?
-2226
What is the next term in 122618, 122617, 122616, 122615?
122614
What is the next term in -56528, -56517, -56492, -56447, -56376?
-56273
What comes next: 231, 1857, 6273, 14871, 29043, 50181, 79677, 118923?
169311
What comes next: -22655, -90637, -203939, -362561, -566503?
-815765
What is next in -8083, -8135, -8187, -8239?
-8291
What is the next term in -453, -350, -243, -132, -17, 102, 225?
352
What is next in 5573, 5547, 5507, 5453?
5385
What is next in 1112, 1131, 1142, 1139, 1116, 1067, 986?
867
What comes next: 167, 343, 537, 749, 979, 1227?
1493
What is the next term in -733, -1469, -2205, -2941, -3677, -4413?
-5149
What is the next term in 284827, 569654, 854481?
1139308
What is the next term in -405, -1523, -3353, -5895, -9149, -13115, -17793?
-23183
What comes next: 466, 375, 278, 175?
66
What comes next: 2764, 5539, 8316, 11095, 13876, 16659, 19444?
22231
What is the next term in -250, -1483, -4696, -10879, -21022, -36115, -57148?
-85111
What is the next term in -12, 57, 128, 201, 276, 353?
432
What comes next: -478, -1683, -3618, -6283?
-9678
What is next in 458, -466, -2006, -4162, -6934?
-10322
What is next in -108158, -216320, -324482, -432644?
-540806
What is next in 2035, 4118, 6201, 8284, 10367, 12450?
14533
What is next in 216, 426, 626, 810, 972, 1106, 1206?
1266
What comes next: 278475, 556950, 835425, 1113900, 1392375?
1670850
What is the next term in -292, -1294, -2964, -5302, -8308, -11982?
-16324
What is the next term in -3963, -7928, -11891, -15852, -19811, -23768, -27723?
-31676
What is the next term in 235, 806, 1717, 2968, 4559, 6490?
8761
What comes next: -4743711, -4743710, -4743709, -4743708, -4743707, -4743706?
-4743705
What comes next: -12103, -12109, -12113, -12109, -12091, -12053, -11989?
-11893
What comes next: 41, 316, 1057, 2498, 4873, 8416, 13361?
19942
What is the next term in -20695, -41387, -62079, -82771, -103463, -124155?
-144847
What is the next term in 780, 743, 684, 603?
500
What is next in 7570, 15154, 22740, 30328?
37918
What is next in 2081, 4166, 6257, 8360, 10481, 12626, 14801?
17012
What comes next: 15823, 15821, 15819, 15817, 15815?
15813
What is next in -1323, -2646, -3963, -5274, -6579, -7878?
-9171
What comes next: 449, 1031, 1613?
2195
What is next in -1232, -5150, -11680, -20822?
-32576
What comes next: 101, 364, 799, 1406, 2185, 3136?
4259
What is the next term in 1151, 1321, 1491?
1661
What is next in -331, -1109, -2405, -4219, -6551, -9401, -12769?
-16655
What is the next term in -362243, -724486, -1086729, -1448972, -1811215?
-2173458
What is the next term in 1549, 1561, 1593, 1657, 1765?
1929
What comes next: -6708, -6719, -6730, -6741, -6752, -6763?
-6774
What is next in 8692, 8406, 7930, 7264, 6408, 5362?
4126
What is next in -475, -975, -1479, -1987?
-2499
What is next in -29, -31, -45, -77, -133, -219?
-341
What is next in 5416, 5479, 5532, 5569, 5584, 5571?
5524
What is the next term in 885, 3490, 7833, 13914?
21733
What is next in 208, 511, 1020, 1735?
2656
What is next in -705, -698, -705, -732, -785, -870, -993, -1160?
-1377
What comes next: -831, -1901, -2971, -4041, -5111?
-6181
What comes next: -617, -409, -177, 91, 407, 783?
1231
What is next in -48, -117, -216, -333, -456, -573, -672?
-741
What comes next: -411, -856, -1301, -1746, -2191, -2636?
-3081
What is next in -100, -386, -862, -1528, -2384, -3430?
-4666
What comes next: 33739, 67472, 101205, 134938, 168671?
202404
What is the next term in -158650, -158648, -158646, -158644?
-158642
What is the next term in 1606, 3315, 5020, 6721, 8418, 10111?
11800
What is the next term in 1104, 1130, 1214, 1386, 1676, 2114, 2730, 3554?
4616
What is next in 47080, 47081, 47082, 47083?
47084
What comes next: -112751, -225502, -338253, -451004?
-563755
What is the next term in -607920, -1215835, -1823750, -2431665?
-3039580
What comes next: 657, 1021, 1385, 1749?
2113
What is next in -122, -121, -104, -65, 2, 103, 244, 431?
670
What is the next term in -328002, -656003, -984004, -1312005, -1640006?
-1968007
What comes next: -58962, -58951, -58940?
-58929
What comes next: 59, 392, 949, 1730, 2735?
3964
What comes next: 17987, 17982, 17977, 17972, 17967, 17962?
17957
What is the next term in -381, -305, -215, -105, 31, 199?
405
What comes next: -4086, -16297, -36636, -65097, -101674?
-146361
What is next in 899, 1778, 2641, 3488?
4319
What is next in -71575, -143151, -214727, -286303?
-357879
What is the next term in -2843, -2759, -2613, -2405?
-2135
What comes next: -813, -818, -823, -828, -833, -838?
-843
What is next in 338, 352, 370, 392, 418, 448, 482?
520
What comes next: 143, 107, 71?
35
What is next in -167, 108, 559, 1186, 1989?
2968
What is next in -2119, -2064, -2005, -1936, -1851, -1744, -1609, -1440?
-1231
What comes next: -5156, -5155, -5154, -5153?
-5152
What comes next: -302, -597, -892, -1187, -1482?
-1777
What is the next term in 2114, 8468, 19054, 33866, 52898, 76144?
103598
What comes next: 53074, 106147, 159220, 212293, 265366?
318439
What is next in -1102, -2126, -3150?
-4174
What is next in 2822, 5664, 8506, 11348, 14190, 17032?
19874
What is next in 240, 321, 242, 3, -396, -955?
-1674
What comes next: 72045, 72044, 72043, 72042, 72041?
72040
What is next in -8418, -16708, -24998, -33288, -41578?
-49868
What is the next term in -1826178, -7304710, -16435596, -29218836, -45654430, -65742378, -89482680?
-116875336
What is next in -598422, -598417, -598410, -598401, -598390, -598377?
-598362
What comes next: 4015, 3963, 3911?
3859
What comes next: -23216, -92979, -209250, -372029, -581316?
-837111
What is the next term in 47654, 95335, 143074, 190901, 238846, 286939?
335210
What comes next: 399, 501, 605, 711, 819?
929
What is next in -863, -7011, -23731, -56315, -110055, -190243, -302171?
-451131
What is the next term in 1540, 5997, 13380, 23683, 36900, 53025, 72052, 93975?
118788
What is next in 6439, 12896, 19367, 25852, 32351, 38864?
45391
What is next in -586565, -1173138, -1759721, -2346320, -2932941, -3519590, -4106273?
-4692996
What is next in 222, 821, 1782, 3105?
4790
What is next in -203, -1974, -6781, -16142, -31575?
-54598
Wha | {
"pile_set_name": "DM Mathematics"
} |
f 267398157?
3, 13, 31, 221173
List the prime factors of 50625251.
47, 193, 5581
What are the prime factors of 36933820?
2, 5, 7, 11, 29, 827
List the prime factors of 76228405.
5, 11, 107, 12953
What are the prime factors of 3126072092?
2, 11, 13, 420397
List the prime factors of 715411239.
3, 2011, 118583
List the prime factors of 103377243.
3, 149, 231269
What are the prime factors of 1744822911?
3, 13, 43, 53, 67, 293
List the prime factors of 1217746.
2, 608873
What are the prime factors of 207588028?
2, 31, 443, 3779
What are the prime factors of 3692365600?
2, 5, 7, 11, 8563
What are the prime factors of 731175488?
2, 109, 281, 373
List the prime factors of 3340131951.
3, 13, 85644409
List the prime factors of 326003224.
2, 331, 123113
What are the prime factors of 73720442?
2, 36860221
What are the prime factors of 542231951?
542231951
List the prime factors of 90340633.
90340633
What are the prime factors of 5515527490?
2, 5, 11, 3271, 15329
List the prime factors of 2799231878.
2, 1399615939
What are the prime factors of 2515163915?
5, 11, 283, 161591
What are the prime factors of 686471930?
2, 5, 68647193
What are the prime factors of 33798309?
3, 41, 274783
What are the prime factors of 97379571?
3, 32459857
List the prime factors of 4685396698.
2, 67, 34965647
List the prime factors of 9279887270.
2, 5, 47, 487, 40543
List the prime factors of 235053183.
3, 89, 880349
List the prime factors of 17801362.
2, 59, 257, 587
List the prime factors of 3029810.
2, 5, 7, 43283
List the prime factors of 148561483.
7, 3031867
List the prime factors of 5341999647.
3, 337, 5283877
List the prime factors of 182559813.
3, 37, 619, 2657
What are the prime factors of 570079246?
2, 11, 157, 165049
List the prime factors of 180173011.
181, 995431
What are the prime factors of 3480267597?
3, 1160089199
What are the prime factors of 4243414?
2, 7, 101, 3001
List the prime factors of 1131095250.
2, 3, 5, 281, 1789
List the prime factors of 1236842790.
2, 3, 5, 89, 463237
List the prime factors of 42946670.
2, 5, 13, 330359
List the prime factors of 567885916.
2, 13, 23, 37, 41, 313
List the prime factors of 383359979.
17, 19, 62467
What are the prime factors of 283120661?
283120661
What are the prime factors of 2759091231?
3, 13, 2293, 30853
What are the prime factors of 1340250002?
2, 7, 13, 101, 72911
List the prime factors of 759193917.
3, 253064639
What are the prime factors of 884343726?
2, 3, 7, 509, 13789
What are the prime factors of 1198196683?
29, 661, 62507
What are the prime factors of 3240528217?
103, 587, 53597
What are the prime factors of 1083014069?
61, 17754329
List the prime factors of 55130590.
2, 5, 19, 290161
List the prime factors of 382609594.
2, 2903, 65899
What are the prime factors of 231177224?
2, 3733, 7741
What are the prime factors of 57172389?
3, 19057463
What are the prime factors of 417012784?
2, 193, 135043
What are the prime factors of 12647810?
2, 5, 7, 281, 643
List the prime factors of 4082454554.
2, 12503, 163259
List the prime factors of 1421895024.
2, 3, 11, 53, 16937
List the prime factors of 25218898.
2, 43, 127, 2309
List the prime factors of 3600201729.
3, 18749, 64007
What are the prime factors of 72864526?
2, 7, 773, 6733
What are the prime factors of 2601031634?
2, 29, 44845373
List the prime factors of 1570528942.
2, 19, 457, 90437
List the prime factors of 681417395.
5, 1753, 77743
List the prime factors of 2433921022.
2, 13, 191, 490117
What are the prime factors of 66231719?
66231719
What are the prime factors of 970537763?
13, 607, 9461
What are the prime factors of 174946931?
174946931
What are the prime factors of 924745183?
811, 1140253
What are the prime factors of 1133010665?
5, 167, 1356899
What are the prime factors of 3990123782?
2, 1995061891
What are the prime factors of 880495994?
2, 7, 17, 528509
List the prime factors of 134397042.
2, 3, 13, 67, 25717
What are the prime factors of 476238163?
61, 733, 10651
What are the prime factors of 612822236?
2, 13, 11785043
What are the prime factors of 858164768?
2, 41, 654089
List the prime factors of 19970309.
1123, 17783
What are the prime factors of 55208298?
2, 3, 53, 139, 1249
What are the prime factors of 102563791?
11, 139, 67079
What are the prime factors of 48142760?
2, 5, 167, 7207
List the prime factors of 246294002.
2, 109, 1129789
List the prime factors of 293814878.
2, 7, 2998111
List the prime factors of 159794191.
159794191
List the prime factors of 28233258.
2, 3, 4705543
List the prime factors of 25663429.
11, 271, 8609
What are the prime factors of 93896271?
3, 7, 19, 47, 1669
List the prime factors of 474456096.
2, 3, 549139
List the prime factors of 320394796.
2, 19, 31, 239, 569
List the prime factors of 173101979.
23, 547, 13759
What are the prime factors of 12120737?
12120737
List the prime factors of 3781309295.
5, 409, 1849051
List the prime factors of 80986227.
3, 7, 19, 202973
List the prime factors of 2764844550.
2, 3, 5, 13, 257, 613
List the prime factors of 320482021.
379, 845599
List the prime factors of 39405874.
2, 19702937
List the prime factors of 1717638.
2, 3, 13, 19, 61
List the prime factors of 93780986.
2, 13, 3606961
List the prime factors of 68084713.
68084713
What are the prime factors of 95478729?
3, 31, 509, 2017
List the prime factors of 5658962691.
3, 173, 10903589
What are the prime factors of 177030744?
2, 3, 11, 60961
What are the prime factors of 399638336?
2, 6244349
List the prime factors of 2205763092.
2, 3, 13, 4713169
What are the prime factors of 90624477?
3, 3121, 9679
List the prime factors of 23794505.
5, 7, 679843
List the prime factors of 63389880.
2, 3, 5, 37, 4759
List the prime factors of 58172171.
59, 985969
List the prime factors of 526018071.
3, 73, 317, 7577
What are the prime factors of 2281035694?
2, 7, 162931121
What are the prime factors of 1292526929?
23, 56196823
What are the prime factors of 139375161?
3, 139, 12379
List the prime factors of 226343528.
2, 829, 34129
List the prime factors of 1982255136.
2, 3, 83, 193, 1289
What are the prime factors of 19218381?
3, 7, 13, 17, 41, 101
List the prime factors of 2122864314.
2, 3, 31, 67, 170347
What are the prime factors of 7176693545?
5, 7, 2557, 80191
What are the prime factors of 469015573?
13, 2693, 13397
List the prime factors of 1707511103.
181, 9433763
List the prime factors of 4346233648.
2, 701, 387503
What are the prime factors of 48648665?
5, 13, 748441
What are the prime factors of 121878204?
2, 3, 7, 1450931
What are the prime factors of 1640503619?
1640503619
List the prime factors of 9117114.
2, 3, 1519519
What are the prime factors of 99004921?
99004921
What are the prime factors of 100198047?
3, 127, 409, 643
List the prime factors of 612602787.
3, 73, 2797273
What are the prime factors of 648827600?
2, 5, 83, 19543
List the prime factors of 1870643099.
13, 47, 3061609
List the prime factors of 70633932.
2, 3, 347, 16963
List the prime factors of 158169534.
2, 3, 79, 333691
What are the prime factors of 6484449510?
2, 3, 5, 7, 11, 935707
List the prime factors of 186296320.
2, 5, 7, 23, 113
List the prime factors of 381377888.
2, 59, 202001
List the prime factors of 10603560.
2, 3, 5, 11, 29, 277
List the prime factors of 416570041.
19, 691, 31729
What are the prime factors of 3638410787?
11, 157, 2106781
What are the prime factors of 78972755?
5, 15794551
What are the prime factors of 690513343?
13, 227, 233993
What are the prime factors of 12637207?
11, 1148837
List the prime factors of 1709787220.
2, 5, 29, 541, 5449
List the prime factors of 1177115919.
3, 7, 23, 137, 17789
List the prime factors of 2879321411.
2879321411
List the prime factors of 415510358.
2, 207755179
What are the prime factors of 518295041?
11, 23, 1031, 1987
What are the prime factors of 1680863913?
3, 557, 111767
What are the prime factors of 48928863?
3, 16309621
What are the prime factors of 2301947876?
2, 179, 3215011
List the prime factors of 18030024.
2, 3, 71, 3527
What are the prime factors of 8442363?
3, 883, 3187
What are the prime factors of 121357381?
103, 1178227
List the prime factors of 3472564175.
5, 89, 127, 12289
What are the prime factors of 61630071?
3, 197, 104281
What are the prime factors of 135756525?
| {
"pile_set_name": "DM Mathematics"
} |
5
Divide 18 by -5.
-18/5
Divide -567 by -21.
27
Calculate 4 divided by 556.
1/139
5 divided by -92
-5/92
Calculate 0 divided by 66.
0
Calculate 1200 divided by -3.
-400
What is -1232 divided by -308?
4
Calculate 5828 divided by -6.
-2914/3
-4 divided by 42
-2/21
Divide -8196 by 2049.
-4
What is -871 divided by 3?
-871/3
What is -3 divided by -179?
3/179
Calculate 4641 divided by 221.
21
Divide 10 by 95.
2/19
0 divided by 266
0
Divide 138 by -4.
-69/2
-582 divided by 194
-3
Calculate 8880 divided by -6.
-1480
Divide 5 by 76.
5/76
What is 237 divided by -79?
-3
106 divided by -1
-106
Calculate 1036 divided by 2.
518
-5628 divided by -1876
3
Divide -352 by -4.
88
Divide 145 by -5.
-29
Divide 19 by -194.
-19/194
Divide -14424 by -6.
2404
Calculate 80 divided by -40.
-2
Calculate 20 divided by 23.
20/23
Calculate 20 divided by -9.
-20/9
89 divided by 10
89/10
What is -1158 divided by -6?
193
171 divided by 19
9
Calculate -19 divided by -1.
19
Divide 0 by 149.
0
5 divided by 810
1/162
Calculate -1260 divided by 3.
-420
What is 41 divided by 22?
41/22
Calculate 6396 divided by 26.
246
Divide 600 by -150.
-4
Divide -3580 by 895.
-4
What is 25 divided by -5?
-5
Divide -13 by 4.
-13/4
-556 divided by -139
4
Divide 7912 by 989.
8
Calculate -1200 divided by -48.
25
0 divided by -163
0
-3108 divided by 3
-1036
15 divided by -34
-15/34
20456 divided by -1
-20456
-2292 divided by 5
-2292/5
Divide 56240 by -5.
-11248
245 divided by -7
-35
-164 divided by -2
82
Calculate 33354 divided by -3.
-11118
-114 divided by 57
-2
Divide -13 by -1.
13
What is -8 divided by -35?
8/35
What is 8804 divided by -6?
-4402/3
3582 divided by -4
-1791/2
Calculate 234 divided by -9.
-26
Calculate 0 divided by -180.
0
What is -233 divided by 4?
-233/4
-3338 divided by 4
-1669/2
What is -771 divided by -771?
1
-1620 divided by -20
81
Divide 2095 by -1.
-2095
Calculate -420 divided by -5.
84
-785 divided by -157
5
Divide -328 by -8.
41
Calculate 6357 divided by -5.
-6357/5
What is -1035 divided by -17?
1035/17
Calculate 0 divided by -366.
0
Divide -3 by -132.
1/44
What is 14175 divided by 5?
2835
What is 2 divided by 519?
2/519
What is -3 divided by 4948?
-3/4948
What is 177 divided by -1?
-177
Calculate 0 divided by -121.
0
Divide -682 by -22.
31
Calculate -3825 divided by -5.
765
3348 divided by 18
186
-181 divided by 9
-181/9
-9 divided by -1
9
Divide 145 by -2.
-145/2
6186 divided by 3093
2
What is 41 divided by 4?
41/4
-486 divided by -162
3
Calculate -484 divided by -3.
484/3
What is 10 divided by -32?
-5/16
What is 14 divided by 118?
7/59
Calculate -819 divided by 5.
-819/5
What is 2052 divided by -1?
-2052
Calculate -24 divided by -7.
24/7
What is 1117 divided by 6?
1117/6
Calculate 5676 divided by -132.
-43
Divide 140 by -7.
-20
Calculate 190 divided by -7.
-190/7
Divide 248 by -4.
-62
What is 0 divided by 2?
0
Calculate -17034 divided by -6.
2839
Divide -9 by -112.
9/112
Calculate 441 divided by 3.
147
What is -1008 divided by 72?
-14
Divide -732 by 6.
-122
What is -1 divided by 36?
-1/36
Calculate -330 divided by 11.
-30
What is 21297 divided by -7099?
-3
What is -329 divided by 45?
-329/45
What is 101 divided by 3?
101/3
Divide -12 by 10.
-6/5
What is -7 divided by -118?
7/118
What is 499 divided by 6?
499/6
-9 divided by -2
9/2
39 divided by 15
13/5
Calculate -49 divided by -49.
1
-62 divided by -1
62
What is -575 divided by -5?
115
Divide 14 by 717.
14/717
Calculate -182 divided by 26.
-7
Divide -104 by 4.
-26
Calculate 4645 divided by 5.
929
Calculate -916 divided by 25.
-916/25
Divide -2380 by -5.
476
Calculate -2 divided by -446.
1/223
Divide 1 by 1652.
1/1652
What is 288 divided by -72?
-4
Divide -636 by 4.
-159
Divide -568 by -142.
4
-2 divided by 233
-2/233
Divide 1692 by -6.
-282
Calculate -14014 divided by 7.
-2002
0 divided by 275
0
Divide -1 by 615.
-1/615
Divide -408 by -4.
102
Divide 181 by -5.
-181/5
Divide -314 by 5.
-314/5
Calculate 5 divided by 3.
5/3
Divide -13148 by -346.
38
What is -657 divided by 3?
-219
Divide 3546 by 9.
394
Divide 344 by -344.
-1
Calculate -264 divided by -66.
4
What is 12122 divided by 638?
19
4 divided by -1254
-2/627
Calculate -90 divided by -9.
10
Divide -60 by -2.
30
-31218 divided by -6
5203
0 divided by -791
0
What is -4212 divided by -1053?
4
Divide 1764 by -126.
-14
Calculate -16776 divided by -12.
1398
-19 divided by -37
19/37
Divide -329 by -47.
7
What is -13364 divided by 4?
-3341
5764 divided by 44
131
Divide 3816 by 4.
954
What is -224 divided by -32?
7
Calculate 4 divided by -13.
-4/13
What is 20720 divided by -14?
-1480
What is 378 divided by 14?
27
What is 5 divided by -583?
-5/583
Calculate 26037 divided by -33.
-789
Calculate 1348 divided by 674.
2
Divide -7 by -13.
7/13
Calculate -24162 divided by -6.
4027
Divide 37 by 9.
37/9
Divide 248 by -124.
-2
445 divided by -89
-5
Divide -12 by -211.
12/211
Divide 1980 by 198.
10
Calculate -184 divided by 2.
-92
Divide -55 by 11.
-5
Calculate -1590 divided by 5.
-318
-1995 divided by -133
15
Calculate -15 divided by 6.
-5/2
What is 0 divided by 2?
0
582 divided by -6
-97
What is 2 divided by 270?
1/135
Divide 78 by 3.
26
What is 3 divided by -1988?
-3/1988
-1 divided by 63
-1/63
What is 160 divided by 5?
32
-2054 divided by -3
2054/3
Calculate -195 divided by -15.
13
Calculate -16 divided by 4.
-4
-1685 divided by 1685
-1
Divide -32 by -49.
32/49
0 divided by -108
0
-21 divided by -21
1
538 divided by 11
538/11
94 divided by 6
47/3
5 divided by -29
-5/29
Divide -90 by 30.
-3
-15438 divided by 249
-62
Divide 23300 by -5.
-4660
Calculate 147 divided by 13.
147/13
Divide 4600 by 8.
575
Divide 3 by -1232.
-3/1232
-24 divided by -26
12/13
Calculate -6 divided by 3.
-2
Calculate -50 divided by 25.
-2
Calculate 18 divided by -52.
-9/26
What is 22 divided by -24?
-11/12
Divide 17 by 268.
17/268
What is -6 divided by 12?
-1/2
Divide -5490 by -10.
549
Divide 99 by 3.
33
Calculate -185 divided by 5.
-37
-5 divided by 1790
-1/358
Divide -28 by 7.
-4
Calculate -27 divided by -19.
27/19
-504 divided by 84
-6
Calculate 768 divided by -16.
-48
What is 12814 divided by -5?
-12814/5
What is -91 divided by -184?
91/184
Calculate 2919 divided by 973.
3
148 divided by -9
-148/9
-120 divided by 5
-24
Calculate -24 divided by 76.
-6/19
-66 divided by 2
-33
Divide 1157 by 13.
89
16 divided by -44
-4/11
Divide -60 by -30.
2
9 divided by 1224
1/136
2 divided by -1
-2
Divide 92 by 4.
23
-3795 divided by -5
759
Calculate -12 divided by -22.
6/11
0 divided by 46
0
Divide -4 by -82.
2/41
Divide -480 by 16.
-30
-527 divided by 17
-31
Calculate -20370 divided by -4074.
5
Divide 327 by -4.
-327/4
Divide 1320 by -5.
-264
Calculate 840 divided by -24.
-35
Divide -164 by 4.
-41
Calculate -10 divided by 10.
-1
-5195 divided by -2
5195/2
Calculate 0 divided by 391.
0
What is 20 divided by 27?
20/27
What is -145 divided by 7?
-145/7
-21 divided by -1
21
Calculate -448 divided by 5.
-448/5
Calculate -1373 divided by -5.
1373/5
Calculate -48 divided by -4.
12
Calculate -6 divided by -83.
6/83
Divide -7 by -8.
7/8
Calculate -4 divided by -9.
4/9
What is 4810 divided by -185?
-26
What is 13475 divided by 1?
13475
Calculate 2075 divided by -5.
-415
Divide 1885 by 5.
377
Divide 62 by 2.
31
Divide -3 by 1335.
-1/445
Calculate 5 divided by -1183.
-5/1183
What is -5 divided by -224?
5/224
Divide -809 by 6.
-809/6
Divide 15 by 88.
15/88
What is 3336 divided by 3?
1112
What is 837 divided by 7?
837/7
What is -564 divided by -4?
141
Calculate 1 divided by -1129.
-1/1129
Divide 63 by -1.
-63
294 divided by -147
-2
What is -905 divided by -5?
181
Calculate 15132 divided by -3.
-5044
What is -30 divided by 6?
-5
Calculate 106 divided by -16.
-53/8
Divide 317 by -8.
-317/8
Calculate 3654 divided by 21.
174
Calculate -33 divided by 1.
-33
Divide -20 by 10.
-2
-36 divided by 18
-2
132 divided by -3
-44
What is -12 divided by 8?
-3/2
What is -21 divided by -154?
3/22
2 divided by -5
-2/5
Calculate -2169 divided by -723.
3
-1 divided by 110
-1/110
88 divided by 21
88/21
Divide 3 by 1379.
3/1379
Divide 5 by 3064.
5/3064
-2754 divided by -51
54
-257 divided by 14
-257/14
Calculate -1664 divided by 8.
-208
What is -1972 divided by -17?
116
What is -295 divided by -5?
59
Divide 8124 by 12.
677
5 divided by 222
5/222
6480 divided | {
"pile_set_name": "DM Mathematics"
} |
*m. Let d(k) be the second derivative of -5*k**4/12 - 7*k**2/2 + 77*k. Give d(j(b)).
-80*b**2 - 7
Let f(h) = -h - 38. Let a(j) = 206*j**2. Give a(f(s)).
206*s**2 + 15656*s + 297464
Let p(j) = 2*j**2 + 1030*j - 2. Let m(b) = -3*b + 4. Determine p(m(y)).
18*y**2 - 3138*y + 4150
Let c(o) be the third derivative of 4*o**2 + 0 + 0*o + 0*o**3 + 0*o**4 - 1/30*o**5. Let s(z) = -4*z**2. Calculate s(c(i)).
-16*i**4
Let c(h) = -27*h**2 + 31*h**2 - 6*h**2. Let s(u) = 165*u**2. Give c(s(a)).
-54450*a**4
Let f(d) = 23*d**2. Let q(w) = -27*w**2 + 29*w + 11. Determine q(f(c)).
-14283*c**4 + 667*c**2 + 11
Let y be (-210)/(-27) - 5 - (-10)/45. Let g(p) be the second derivative of 0 + 1/6*p**y + 0*p**2 + 6*p. Let f(b) = -b. What is g(f(r))?
-r
Let g(b) = 1146*b. Let k(j) = 47*j. Calculate k(g(l)).
53862*l
Let o(u) = -u. Let z(y) = 411 + 18*y - 821 + 410. Determine o(z(d)).
-18*d
Let r(p) = -5*p. Let v(m) be the third derivative of -61*m**4/24 + m**3/2 + 4*m**2 - 74. What is r(v(x))?
305*x - 15
Let q(p) = -12*p + 202. Let y(z) = -z. What is y(q(i))?
12*i - 202
Let z(q) = -14*q. Let x(v) = 74*v**2 - 1397. What is x(z(n))?
14504*n**2 - 1397
Let i(o) be the first derivative of -o**2 + 3. Let x(g) = -49*g**2 + 7*g - 14. Let j(z) = 16*z**2 - 2*z + 4. Let d(q) = 7*j(q) + 2*x(q). Determine i(d(m)).
-28*m**2
Let b(s) = -9*s**2. Let w(y) = 5*y. Let p(i) = 2*i + 2. Let t(u) = -6*u - 7. Let a(r) = -7*p(r) - 2*t(r). Let g(z) = 14*a(z) + 6*w(z). What is g(b(x))?
-18*x**2
Let l(x) = 7*x**2 + 42*x. Let s(o) = -o. Let k(r) = -l(r) - 42*s(r). Let m(h) be the third derivative of h**5/60 + 38*h**2. Determine k(m(i)).
-7*i**4
Let o(q) = 4*q - 6. Let m(u) = -5*u + 7. Let f(p) = 6*m(p) + 7*o(p). Let v(c) = -6*c + 7. Let n(b) = b - 1. Let h(i) = -28*n(i) - 4*v(i). Determine h(f(r)).
8*r
Let b(w) be the second derivative of 4*w**3/3 + 3*w**2/2 + 18*w. Let k(x) = -16*x - 7. Let i(z) = 7*b(z) + 3*k(z). Let s(y) = -2*y**2. Give i(s(r)).
-16*r**2
Let g(t) = -t**2. Let c(d) be the third derivative of -685*d**4/24 + 13*d**2 - 7. What is c(g(v))?
685*v**2
Let c(m) = -m**2. Suppose -1 = -3*f + 4*i - 4, 0 = -2*f + 4*i - 6. Let z(w) = -3*w + 12*w**2 + f*w. Calculate z(c(v)).
12*v**4
Let c(s) = -2*s**2. Let f(y) = 555*y**2 - 3. Calculate f(c(n)).
2220*n**4 - 3
Let q(k) = 193*k - 54. Let w(b) = 7*b**2. Give w(q(i)).
260743*i**2 - 145908*i + 20412
Let w(t) = t**2 - 3*t + 7. Let f be w(3). Let q(m) = 1 + f*m**2 - 11*m**2 - 1. Let x(u) = 2*u. Determine q(x(h)).
-16*h**2
Let k(c) = c**2 + 15*c. Let s(l) = 732*l**2. Determine k(s(d)).
535824*d**4 + 10980*d**2
Let t(n) = 332255*n**2. Let h(v) = -v**2. Calculate t(h(z)).
332255*z**4
Let h(s) = 5*s. Let f(w) = -2*w + 5111. What is f(h(j))?
-10*j + 5111
Let o(u) = 11*u**2 + u - 26388. Let l(z) = 2*z**2. What is o(l(s))?
44*s**4 + 2*s**2 - 26388
Let n(k) be the second derivative of -k**4/12 - 10*k. Let u(s) be the second derivative of 1/6*s**3 + 0 + 0*s**2 + s. Give n(u(m)).
-m**2
Let p(x) = -4*x**2 - 10*x + 5. Let t(q) = 7*q - 8. Let f be t(2). Let z(j) = 4*j**2 + 12*j - 6. Let h(n) = f*p(n) + 5*z(n). Let b(y) = 10*y**2. What is b(h(r))?
160*r**4
Let y(d) = 726*d - 5. Let a(o) = -11*o**2. Calculate a(y(n)).
-5797836*n**2 + 79860*n - 275
Let m(w) = -5*w. Let y(i) be the first derivative of -i**6/180 - 10*i**3 - 37. Let z(k) be the third derivative of y(k). Determine m(z(p)).
10*p**2
Let k(z) = -2*z**2 + 13020*z. Let w(l) = 7*l**2. What is k(w(h))?
-98*h**4 + 91140*h**2
Let p(n) = -31825*n**2. Let g(z) = z. Give p(g(u)).
-31825*u**2
Let c(g) = 2*g**2. Let s(b) = 5*b**2 - b + 2. Let z be s(1). Let p(v) = z*v**2 - v**2 + 2*v**2. What is p(c(r))?
28*r**4
Let x(y) = 55*y**2 - 57*y. Let k(a) = -12*a. What is x(k(g))?
7920*g**2 + 684*g
Let u(d) = -1463*d. Let z(w) = 86*w + 1. Give z(u(y)).
-125818*y + 1
Let r(m) = -m. Let i(d) = -d + 1. Let y(z) = -10*z - 20. Let x(l) = 5*i(l) - y(l). Let g(h) = -1. Let c(q) = -50*g(q) - 2*x(q). Calculate r(c(p)).
10*p
Let s(i) = -170*i**2. Let y(t) = -450*t + 3. What is y(s(w))?
76500*w**2 + 3
Let d(n) = 32*n - 1. Let b(h) be the third derivative of h**4/4 + 9*h**2 + 12*h. What is b(d(s))?
192*s - 6
Let q(v) be the first derivative of -9*v**2/2 - 214. Let b(f) = 7*f**2. What is b(q(s))?
567*s**2
Let b(i) = 20*i - 2 - 26*i + 2 + 17*i. Let y(v) be the second derivative of v**3/6 + v. Calculate y(b(w)).
11*w
Let h(c) = 2*c**2. Let u(l) be the second derivative of l**6/72 + 4*l**3/3 - l**2/2 - 10*l + 2. Let t(r) be the second derivative of u(r). Determine h(t(d)).
50*d**4
Let w(v) be the third derivative of 0 + 0*v + 0*v**4 - v**2 + 3/20*v**5 + 0*v**3. Let c(z) = 8*z. What is w(c(a))?
576*a**2
Let u(n) be the first derivative of 6*n**2 + 53. Let r(g) = -7*g**2 + 4. Let f(x) = 20*x**2 - 11. Let w(c) = -4*f(c) - 11*r(c). Give w(u(y)).
-432*y**2
Let x(o) = -23*o**2 + 1. Let d(c) = 269*c. Determine x(d(v)).
-1664303*v**2 + 1
Let a(k) be the second derivative of 17*k**6/720 + 2*k**4/3 + 6*k. Let v(x) be the third derivative of a(x). Let m(j) = j. Calculate m(v(r)).
17*r
Let f(a) = 113*a - 1. Let h(i) = 124*i. Give h(f(y)).
14012*y - 124
Let z(i) = 396*i - 9. Let u(c) = 3*c. Give z(u(r)).
1188*r - 9
Let t(c) = 5*c. Let j(n) = -4*n + 1375 + 6*n - 1375. What is j(t(o))?
10*o
Let r(i) = 8*i + 3*i - 2*i**2 - 9 - 2*i. Let p be 12/30 + 47/(-5). Let v(j) = j**2 - 4*j + 4. Let l(g) = p*v(g) - 4*r(g). Let t(w) = 8*w**2. Determine t(l(o)).
8*o**4
Let w(f) = 2*f**2. Let m(d) = 285*d**2 + 174*d**2 - 151*d**2. Determine w(m(h)).
189728*h**4
Let i(h) = 2*h**2. Let o(m) be the second derivative of 7*m + 7/2*m**3 + 0*m**2 + 0. Determine o(i(q)).
42*q**2
Let m(k) be the third derivative of k**5/30 + 119*k**4/6 - 204*k**2. Let f(r) = -2*r**2. Calculate m(f(j)).
8*j**4 - 952*j**2
Let y(n) = -3*n + 10. Let i(x) = -64764*x. Give y(i(h)).
194292*h + 10
Let d(a) be the third derivative of -a**5/12 - 2*a**2. Let o = 94 + -53. Let q(g) = 87*g - 49*g - o*g. What is d(q(m))?
-45*m**2
Let k(v) = -3*v + 4. Let n(f) = 2*f - 3. Let j(r) = 3*k(r) + 4*n(r). Let a(w) = -29*w**2 + 1. Calculate a(j(z)).
-29*z**2 + 1
Let z(x) = -14242*x. Let n(b) = -323*b. Calculate n(z(v)).
4600166*v
Let c(o) = -o**2 - 30*o + 10. Let u(s) = 38*s. Determine u(c(h)).
-38*h**2 - 1140*h + 380
Let m(n) be the second derivative of 41*n**3/6 - 11*n. Let f(u) = 3*u**2 - 5. Let o(s) = -2*s**2 + 4. Let h(p) = -4*f(p) - 5*o(p). What is m(h(x))?
-82*x**2
Let b(q) = 11*q**2. Let a(u) be the second derivative of 0 + 1/3*u**3 + 0*u**2 - 27*u. Calculate b(a(o)).
44*o**2
Let b(f) be the second derivative of -f**5/60 + 7*f**2/2 + 29*f. Let n(x) be the first derivative of b(x). Let g(l) = -1 + 1 - 12*l. Calculate g(n(t)).
12*t**2
Let h(s) = 5*s**2. Let f(m) = 59*m**2 - 578*m. Give f(h(b)).
1475*b**4 - 2890*b**2
Let z(s) = 28*s**2. Let v(m) be the third derivative of m**6/720 - 23*m**4/24 + 12*m**2 + m. Let g(i) be the second derivative of v(i). Determine z(g(b)).
28*b**2
Let k(h) be the second derivative of h**7/1260 + 5*h**4/12 - 4*h. Let x(m) be the third derivative of k(m). Let i(r) = -14*r. What is x(i(f))?
392*f**2
Let j(c) = -c + 5*c + c. Let m(g) = -g + 8 - g - 1 + 3*g. Let q(d) = -d - 6. Let b(x) = -6*m(x) - 7*q(x). Calculate j(b(n)).
5*n
Let y(a) = -29*a**2 - 23*a. Let k(g) = -4*g**2 - 2*g. Let p(x) = 14*k(x) - 2*y(x). Let d(m) = 10*m**2. Calculate d(p(s)).
40*s**4 + 720*s**3 + 3240*s**2
Let d(l) = -108*l. Let i(x) = -5*x - 16. Calculate d(i(f)).
540*f + 1728
Let a(l) be the first derivative of 29*l**2 - 297. Let c(w) = 10*w**2. Determine a(c(p)).
580*p**2
Let t(j) = 7*j. Let x(v) = -4825*v - 2. Give x(t(y)).
-33775*y - 2
Let c(v) = 80*v. Let m(n) = -n. Let o(h) = 2*c(h) + 180*m(h). Let s(d) be the first derivative of -2*d**3/3 + 63. Determine s(o(z)).
-800*z**2
Suppose t = -5*s + 68, s - 2*s + t = -16. Let x = s - 8. Let a(d) = -x*d - d + 5*d. Let j(f) = -4*f**2. Give j(a(n)).
-16*n**2
Let l(x) = -x**2. Let r be 55/25 - (-3)/(-15). Suppose 0 = 4*t + 2*o - r, -4*t + 2*o + 22 = -0*t. Let z(v) = -5*v - t*v + 3*v + 3*v. Determine l(z(n)).
-4*n**2
Let u(d) = d + 0*d**2 + 4*d + d**2 + d. Let h(i) = 10*i**2 + 55*i. Let j(t) = -6*h(t) + 55*u(t). Let b(x) = 3*x**2. What is b(j(w))?
75*w**4
Let u(n) = 21*n. Let q(o) = 46601*o. Determine q(u(i)).
978621*i
Let s(j) = 1172*j**2 - 584*j**2 - 589*j**2. Let r(n) | {
"pile_set_name": "DM Mathematics"
} |
pose 3*b = 3 + 15. Let l(z) = -z + 0*z - 3*z + 1. Let v(o) = -5*o + 1. Let r = -9931 - -9926. Determine b*l(h) + r*v(h).
h + 1
Let w(t) = -3*t. Let r(z) = 3*z - 3*z - z. Let q(m) = -4*m. Let p be -4*(-3)/(-36)*-3. Let y be q(p). Calculate y*w(h) + 11*r(h).
h
Let v(p) = p**2 + 6*p + 7. Let d(j) = -j**2 - 8*j - 7. Determine 5*d(c) + 6*v(c).
c**2 - 4*c + 7
Let l(v) = 9*v + 9. Let a(w) = 4*w + 4. Let r be (2*14)/(-2*(7 + -6)). Determine r*a(b) + 6*l(b).
-2*b - 2
Let q(i) = -2*i**2 - 2*i + 484. Let d(r) = -r**3 - 3*r**2 - 2*r + 484. Calculate -2*d(w) + 3*q(w).
2*w**3 - 2*w + 484
Let h(c) = 13*c + 23. Let o(v) = -15*v - 24. Give 7*h(f) + 6*o(f).
f + 17
Let j(s) = 54*s**3 - 3*s**2 - 2*s. Let h(w) = -216*w**3 + 13*w**2 + 9*w. Calculate -4*h(x) - 18*j(x).
-108*x**3 + 2*x**2
Let n(u) = -2*u**3 + u**2 + 2. Let w(b) = 1. Suppose -2*i + 3*k + 26 = 0, 2*i + 24 = 5*i + 3*k. Let d be (5/i + 2/(-6))*6. Calculate d*n(r) - 2*w(r).
-2*r**3 + r**2
Let t(z) = z**3 - z**2 - z - 1. Let r(i) = 3*i**3 + 3*i**2 - 7*i - 9. Let f(l) = -r(l) + 4*t(l). Let y(o) = -3*o**2 + o + 2. Give 2*f(x) - 5*y(x).
2*x**3 + x**2 + x
Let l(y) = -5*y + 7. Let x = 218 - 217. Let q(j) = j - 1. Determine x*l(n) + 6*q(n).
n + 1
Let k(r) = -6*r**2 + 3*r + 1. Let n(w) = 13*w**2 - 6*w - 4. Determine -5*k(z) - 2*n(z).
4*z**2 - 3*z + 3
Let v(u) be the second derivative of u**4/4 + 2*u**3 - 15*u**2/2 - 99*u. Let i(w) = w**2 + 5*w - 6. Calculate 12*i(r) - 5*v(r).
-3*r**2 + 3
Suppose 4*w + 78 = 54. Let s(p) = 3*p - 9. Let i(q) = -q + 3. Determine w*s(b) - 17*i(b).
-b + 3
Let v(x) = -2*x**3 - 4*x**2 + 7*x - 2. Let u be 5 - (7 + 3/3*2). Let m(f) = -3*f**3 - 7*f**2 + 13*f - 4. Calculate u*m(w) + 7*v(w).
-2*w**3 - 3*w + 2
Let j(i) = 5*i - 5. Let l(c) = 2*c - 1. Let m(t) = 3*t + 3. Let v(w) = -6*l(w) + m(w). Suppose 3*n - 10 = -25. What is n*j(y) - 3*v(y)?
2*y - 2
Let u(c) = 7*c + 39. Let p(x) = 5*x + 40. What is 4*p(h) - 3*u(h)?
-h + 43
Let d(w) = -w + 2. Let f(c) = c - 3. Calculate 2*d(i) + 3*f(i).
i - 5
Let t(l) = -3*l**3 + 6*l**2 - 9*l - 1. Let s(u) = -u**3 + u**2. Calculate 5*s(h) - t(h).
-2*h**3 - h**2 + 9*h + 1
Let g(i) = 3*i**3 - 2*i**2 - 2. Let y = -4827 + 4829. Let a(o) = 7*o**3 - 5*o**2 - 3. Let k(t) = 3*t + 1. Let f be k(-2). What is f*g(h) + y*a(h)?
-h**3 + 4
Let s be 2*(20/(-8))/5. Let f(j) = 6*j - 1. Let c(k) be the first derivative of -k**2/2 - k + 115. Determine s*f(r) - 4*c(r).
-2*r + 5
Let a(c) = -2*c**3 - 3*c**2 + c + 10. Let x(b) = -b**3 - 2*b**2 + b + 9. Determine 2*a(l) - 3*x(l).
-l**3 - l - 7
Let u(h) = 3*h + 5. Let a(c) = 4*c + 7. Determine -2*a(d) + 3*u(d).
d + 1
Let y(p) = 5*p + 5*p - 90 + 92 - 8. Let i(a) = a. Calculate -12*i(g) + y(g).
-2*g - 6
Let s(y) = -y - 1. Let j(v) = -4*v - 12. Give 2*j(n) - 4*s(n).
-4*n - 20
Let u(g) = 120 - g**2 - 120. Let n(x) = 2*x**3 - 8*x**2 + 7*x - 6. Let l(r) = n(r) - 4*u(r). Let c(i) = -2*i**3 + 3*i**2 - 6*i + 5. Determine -6*c(a) - 5*l(a).
2*a**3 + 2*a**2 + a
Let g(x) = -3*x**3 - 3 - 8*x**3 - 4*x**2 - 4*x + 4*x**3 - x**3 + 5*x**3. Let i(f) = -4 - 5*f - 5*f**2 - 2*f**3 + 2*f**3 - 4*f**3. Determine 5*g(q) - 4*i(q).
q**3 + 1
Let f(c) = -18*c**3 - 181*c**2 - 10*c - 5. Let s(i) = -8*i**3 - 91*i**2 - 4*i - 2. Give 2*f(m) - 5*s(m).
4*m**3 + 93*m**2
Let y(f) = 5*f + 2. Let v(h) be the first derivative of -3*h**2 - 2*h - 22. What is -4*v(l) - 5*y(l)?
-l - 2
Let c(y) = 16*y**2 + 13*y + 7. Suppose 8*d + 14 = 6*d. Let b(x) = -5*x**2 - 4*x - 2. Determine d*b(k) - 2*c(k).
3*k**2 + 2*k
Let u(z) = -1085*z**2 - 6*z + 4. Let g(n) = 1085*n**2 + 5*n - 3. Give -4*g(j) - 3*u(j).
-1085*j**2 - 2*j
Let q(m) = -8*m**2 + 5*m - 5. Let c = -27 - 9. Let x = -31 - c. Let u(t) = 44*t**2 - 28*t + 28. Give x*u(p) + 28*q(p).
-4*p**2
Let r(i) = -11*i**3 + 9*i + 4. Let x(o) = 6*o**3 - 5*o - 2. Determine 3*r(s) + 7*x(s).
9*s**3 - 8*s - 2
Let p(k) = -141*k + 22. Let r(s) = -48*s + 8. Determine -3*p(h) + 8*r(h).
39*h - 2
Let g(x) = 39*x - 5 - 87*x + 59*x. Let c = -6 + 15. Let n(s) = 14*s - 3 + 2*s - c*s. What is -5*g(u) + 8*n(u)?
u + 1
Let c(a) = -9*a**3 + 5*a**2. Let v(y) = -8*y**3 + 4*y**2 - 1. Calculate 4*c(j) - 5*v(j).
4*j**3 + 5
Let d(i) = 81812*i**3 + 905*i**2 + 905*i - 1810. Let y(a) = 181*a**3 + 2*a**2 + 2*a - 4. What is 2*d(w) - 905*y(w)?
-181*w**3
Let p(o) = o**2 + 3*o. Let x(d) = 2*d**2. Determine p(v) + 2*x(v).
5*v**2 + 3*v
Let b be (90/6)/1 + (-4)/1. Let w(v) = 11*v**2 + 2. Let z(t) = 56*t**2 + 10. Give b*w(m) - 2*z(m).
9*m**2 + 2
Let r(a) = 150*a + 4. Let q(u) = 150*u + 5. What is -4*q(f) + 5*r(f)?
150*f
Let k(v) = v**2 - v + 1. Let r(i) = -6*i**2 + 3*i - 6. Let j = -2230 - -2234. What is j*k(c) + r(c)?
-2*c**2 - c - 2
Let j(k) = k - 23*k**2 - 16*k**2 - 1 + 40*k**2. Let q(o) = 2*o**3 - 8*o**2 - 5*o + 3. What is 5*j(s) + q(s)?
2*s**3 - 3*s**2 - 2
Let h(z) = -22310*z - 1610. Let x(i) = 111*i + 8. Calculate -4*h(j) - 805*x(j).
-115*j
Let i be ((-9)/(-4))/(9*(-5)/120). Let s(j) = -3*j**3 + 2*j**2 + 11. Let w(m) = 2*m**3 - m**2 - 6. Give i*s(t) - 11*w(t).
-4*t**3 - t**2
Let h = 84 - 94. Let b(a) = -2*a**3 - 20*a**2 + a + 9. Let y be b(h). Let c(l) = -l + 1. Let m(p) = -3*p + 2. Calculate y*m(x) + 5*c(x).
-2*x + 3
Let x(b) be the first derivative of 7*b**2/2 - b + 423. Let r(t) = -20*t + 4. Determine -3*r(q) - 8*x(q).
4*q - 4
Let d(u) = 2*u + 1. Let h(v) = -8*v + 14. Let r = -53 + -87. Let a be 4/6 - r/(-12). Let p(s) = -3*s + 5. Let l(m) = a*p(m) + 4*h(m). Calculate d(i) - 3*l(i).
-i - 2
Let r(u) = -5*u**3 + 4*u**2 + 2. Let s(b) = 26*b**3 - 21*b**2 - 12. What is 11*r(l) + 2*s(l)?
-3*l**3 + 2*l**2 - 2
Let x(q) = 16*q**2 - q - 11. Suppose 267 = -4*l + 3*i, -3*l + 0*l - 195 = 3*i. Let o be ((14/4)/(-7))/(3/l). Let u(f) = 3*f**2 - 2. Calculate o*u(y) - 2*x(y).
y**2 + 2*y
Let s(w) = -3*w**2 + w - 7. Let l(m) = -m + 1. Give -5*l(n) - s(n).
3*n**2 + 4*n + 2
Let w(x) = 8*x - 6. Suppose -6*y + 7*y - 5 = 0. Suppose 2*m + c - 21 = -3, -y*m + 42 = 4*c. Suppose -4*k + m = -14. Let q(t) = -7*t + 5. Give k*w(l) + 7*q(l).
-l - 1
Let q(u) = 2*u**2 + 51*u + 157. Let n be q(-22). Let s(b) = 5*b**3 + 2*b**2 + 4*b + 3. Let l(a) = 4*a**3 + a**2 + 3*a + 2. What is n*s(h) - 4*l(h)?
-h**3 + 2*h**2 + 1
Let d(v) = -3*v**3 + 2*v**2 + 100. Let l(r) = 2*r**3 - 2*r**2 - 101. Determine 3*d(n) + 4*l(n).
-n**3 - 2*n**2 - 104
Let i(b) = -b**2 - 1. Let d(c) = -c**3 - 10*c**2 + 3*c - 6. Suppose -358*q + 36 = -364*q. Calculate q*i(p) + d(p).
-p**3 - 4*p**2 + 3*p
Let o = 8 - 6. Let r be -3*o*4/(-8). Let u(c) = c**3 - 2*c**2 + 2*c + 1. Let n(w) = -3*w**2 + 3*w + 1. Determine r*u(g) - 2*n(g).
3*g**3 + 1
Let y(d) = -101*d - 1. Let g(m) = -302*m - 3. What is 3*g(f) - 8*y(f)?
-98*f - 1
Let h(q) = 11*q**3 - 5*q**2 - 3*q + 10. Let p(b) = 2*b**3 - b**2 - b. What is -h(a) + 5*p(a)?
-a**3 - 2*a - 10
Let x(z) = 10*z**3 - 6*z**2 - 6*z - 17. Let v(h) = 9*h**3 - 5*h**2 - 5*h - 16. Give -6*v(p) + 5*x(p).
-4*p**3 + 11
Let z(n) = -177*n - 1. Let s(y) = 10*y. What is -6*s(u) + z(u)?
-237*u - 1
Let l(y) = -8*y**2 + 5*y - 25. Let i(o) = -8*o**2 + 4*o - 23. Determine 5*i(d) - 4*l(d).
-8*d**2 - 15
Let p(f) = -315*f**2 + 6*f - 8. Let n(u) = 314*u**2 - 5*u + 7. Calculate 6*n(d) + 5*p(d).
309*d**2 + 2
Let y(p) = -4 + 5 + 2 + p. Let l(c) = 19. Let x(j) = 230. Let g(u) = 12*l(u) - x(u). What is -4*g(r) - 3*y(r)?
-3*r - 1
Let i(k) = -k**3 + k**2 - 62 - 56 + 118. Let f(a) = a. Determine -2*f(q) + 2*i(q).
-2*q**3 + 2*q**2 - 2*q
Let m(t) = -513*t - 12. Let f(v) = -515*v - 18. Calculate -2*f(b) + 3*m(b).
-509*b
Let m = -13 - -15. Let c(l) = 0*l**m + 23 - 24 + l**2. Let s(o) = -2*o**3 + o**2 - 6. Give -c(r) + s(r).
-2*r**3 - 5
Let x(a) = 7*a + 3. Let o(n) = 190*n + 80. Let h(t) = 149*t + 69. Let b be h(-1). Determine b*x(v) + 3*o(v).
10*v
Let v(r) = -r**3 - 10*r - 101. Let g(b) = b**3 + 12*b + 100. Determine -5*g(j) - 6*v(j).
j**3 + 106
Let l(z) = -27*z + 1. Let j(o) = 29*o - 2. Calculate 5*j(r) + 6*l(r).
-17*r - 4
Let u be 24/(-120) + (-8)/10. Let m(f) = 6*f**2 - 3*f. Suppose 0 = 6*z - z - 20. Let n(k) = k**2 - k. Calculate u*m(a) + z*n(a).
-2*a**2 - a
Let x(i) = i**3 + i**2 + i. Suppose -109*l = -103*l + 12. Let n(v) = -12*v**3 - 15*v**2 - 15*v. What is l*n(o) - 30*x(o)?
-6*o**3
Let g(o) = 22*o**2 - 5*o + 3. Let a(k) = -7*k**2 + 2*k - 1. Give -7*a(z) - 2*g(z).
5*z**2 - 4*z + 1
Let h(d) = -3*d - 8. Let x(v) = 5*v + 14. Calculate 5*h(t) + 2 | {
"pile_set_name": "DM Mathematics"
} |
7)/3?
1/3
What is the value of 4/3*(5/(770/(-637)) - -4)?
-2/11
What is -90*-15*17/(-1275)?
-18
What is (-28)/(-133) + (-156)/19?
-8
Calculate (-7 + 440/56)*42/(-96).
-3/8
What is the value of (-91)/147 - 27/(-81)?
-2/7
Evaluate 8 - (9/(-18)*4)/((-16)/73).
-9/8
Evaluate ((-2)/5)/((-2563)/(-4660)).
-8/11
((-16)/64)/(((-75)/160)/((-2)/(-8)))
2/15
What is 4 + (-172)/559 + 462/(-104)?
-3/4
What is (-88)/1520*12 - (-16)/20?
2/19
What is the value of (-1)/3*18/6 + (-2484)/(-2412)?
2/67
Calculate 12 - 8 - (63/56 + 1 + 2).
-1/8
Calculate ((-5)/(-6)*(-246)/820)/2.
-1/8
Evaluate (-83*32/(-18592))/((-1)/(-161)).
23
What is (10/6)/(938/84 - 12)?
-2
1037/(-612) - 9/((-36)/5)
-4/9
((-111)/(-222))/((-9)/(-2))
1/9
Evaluate (14 - 21)*(-5 + 95/20).
7/4
What is the value of -2440 + 2443 + ((-36)/13)/1?
3/13
Evaluate (-13)/416 - 9381/1888.
-5
Calculate (-23 - (-196)/8)/((-6)/8).
-2
-23 - (-6 + 4) - -13
-8
Calculate (-14 - -104)/9*((-84)/(-45) + -2).
-4/3
Calculate -7 + ((-8)/(-10) - 14/((-1120)/496)).
0
What is the value of (11*330/484)/((-6)/(-4))?
5
-7 - (4/18 + (-19665)/2835)
-2/7
What is the value of (-232)/(-174) - 21/9?
-1
Evaluate ((-27)/(-12))/((-22)/88).
-9
What is (20/14)/(2048/(-7168))?
-5
Evaluate (-55104)/3920 + 28/2.
-2/35
95*15/(-1425)*19
-19
Evaluate 9 + 1743/(-84) - 3/(-4).
-11
17/((-952)/(-32))*(-21)/(-6)
2
Calculate 108/(-198)*198/(-351).
4/13
What is (2 - 270/130)/(2/26)?
-1
What is 14 + -13 + 48 + -18?
31
Calculate (302 - 297)*((-1)/(-2) - 47/(-10)).
26
What is (41 - 915/30)*(0/1 - -2)?
21
What is 36*(-13)/312*(-2)/(-3)*1?
-1
80/8 - ((-147)/(-7) + 2)
-13
Calculate (2060/(-2472))/(2/(2/5)).
-1/6
(-63)/(-12) - (-19)/(-98 + 22)
5
Evaluate (156/9 - 10)/(-3*6/27).
-11
((-2)/((-7)/(-2) - (-748)/(-204)))/1
12
What is the value of (10 - 0) + 48 + -51?
7
What is the value of ((-40)/180)/(-2 + 19/9)?
-2
What is ((-6)/15)/((-2268)/420)?
2/27
(2 - (-247)/(-95))/((-2)/70)
21
What is (-22)/99 + (184/18 - 6/6)?
9
Evaluate ((-4)/15)/((-110)/(-25)) + 156/(-3960).
-1/10
What is the value of (-12 + (-240)/(-12))/((-12)/27)?
-18
What is 39/26 + -3 + (-147)/(-14) + -3?
6
What is the value of (1/(-4))/((-10 - 16) + 27)?
-1/4
What is the value of 1524/(-635) + (-12)/(-30)?
-2
28/20*(3/(-12))/(3/30)
-7/2
What is the value of (32 - (-8 + 10)) + -29?
1
(323/38)/(-1*(20/(-8) - -2))
17
What is the value of (-464)/812 + (-129)/7?
-19
(-15097)/(-974)*(2 - 0)
31
What is 332/(-2158) - (360/26 - 0)?
-14
What is the value of (500/200)/(30/14)?
7/6
Calculate -4*(1/11 - (-37105)/7964).
-19
Evaluate 7869/(-903) + 4/(-14).
-9
What is (((-14)/15)/((-24)/240))/((-4)/(-6))?
14
What is ((-5)/(-4))/((34/(-204))/((-1)/15))?
1/2
(850/(-65) - -13)*(-13)/9
1/9
((-30)/8)/(-30*3/864)
36
(144/324*(-27)/6)/(-10 - 0)
1/5
What is the value of -8*143/208 - -2?
-7/2
What is ((-2884)/140 + 21)/((-36)/75)?
-5/6
Evaluate (2 - (-1 + 2)) + 14 + (-600)/36.
-5/3
Evaluate (-1564)/(-3910) + (-168)/445.
2/89
What is (-1 - -2)*2/((-4)/26)?
-13
Calculate (-2024)/(-115) - (-30)/(-50).
17
What is (-10)/40*8*63/(-6)?
21
What is the value of ((-15)/40)/(459/(-1632))?
4/3
What is the value of (-546)/189 - -1*(-1)/(-1)*2?
-8/9
Evaluate 1*((-74)/(-12) - 7)*27/30.
-3/4
What is the value of (-658)/238 + 32/(-136)?
-3
Evaluate (-1)/10 + (-456)/(-285).
3/2
What is 42/240 - (69/(-24) + 3)?
1/20
What is the value of (-3)/1 - -4 - 5*(-16)/(-40)?
-1
((-1472)/920)/(112/(-20))
2/7
6 + -1 + ((-4940)/245)/4
-2/49
(208/(-2))/(-2)*79/(-158)
-26
Evaluate 34496/7744 - ((-8)/(-66) - 2/3).
5
Evaluate -3*(-14)/(-168)*(-1 + -1).
1/2
What is (2352/19992)/((-12)/17)?
-1/6
What is the value of (((-1 - 2)/6)/(315/18))/1?
-1/35
Evaluate (-24)/108*27/(-78).
1/13
What is the value of (-66)/(-44) + -18*((-60)/16 - -4)?
-3
(1 - (1 + 2/(-9))) + (-25)/(-9)
3
Calculate (5/3)/((-25)/180).
-12
((-34)/(-44))/(552/(-12144))
-17
What is the value of 2176/(-170) + 15 - 1?
6/5
What is the value of (-2)/(-40)*(-496 - -504)?
2/5
Evaluate 3 + 6/12*-4.
1
6/(-60) - ((-39)/(-10) + 10)
-14
Evaluate 120/(-25)*50/6*46/(-115).
16
24/20 - 378/(-35)
12
What is (-45 - -41 - (-26)/7) + (-945)/(-49)?
19
Calculate (-8 + (-945)/133 - -15) + (-1374)/(-57).
24
What is -8*(20 + (-665)/35)?
-8
Evaluate 0 + 3/2 + (-90)/(-140).
15/7
Evaluate (3 - -1)/((16/(-88))/((-45)/495)).
2
Evaluate (-22 + 42 - 17)/(-1*1).
-3
Calculate -5 - (1 - 3)/(-3 - -9 - 4).
-4
Evaluate ((-66)/(-30))/(76/(-380)).
-11
-2 - (110/(-1980))/(62/(-64) + 1)
-2/9
(-54 - (-34 + -17))/(210/(-4))
2/35
Calculate (-10 - 192/(-20))*2/14.
-2/35
Calculate (-14 - -18)/((-6)/(-54)*(-1 - 1)).
-18
Evaluate (-2)/((-16)/(-3)) - ((-23493)/(-328) - 83).
11
Calculate (60/(-35))/4 - 1000/280.
-4
Evaluate 16 - 15 - (3/6 - -2)/4.
3/8
What is the value of ((-9680)/1815)/((-2)/(-3))?
-8
1479/986*2*11/(-3)
-11
What is -9 - (-11 - -14 - 6)?
-6
What is 4/(-28)*(-490)/28?
5/2
((-3)/(-2))/((-663)/8840)
-20
(-115)/322*(-24)/(-10)
-6/7
Evaluate 90/27 + -5 + 15/5.
4/3
What is 2/(-7) - (-19 + 676/182)?
15
46/(-738) - (-1948)/(-39934)
-1/9
Evaluate 480/400*(-700)/30.
-28
(-4 - 25/(-10))/((-18)/(-24))
-2
What is the value of (260/1430)/((-50)/(-165))?
3/5
What is ((-8)/36*(-18)/3)/(824/(-22866))?
-37
Evaluate (-1 - (-210)/250)/((-10)/25).
2/5
Evaluate 48*(-20)/(-160) - 152/26.
2/13
What is the value of (-160)/384*(-8)/(-10)?
-1/3
Calculate 11 - (1 - -7) - (1 - -7).
-5
Evaluate (-40)/(-24)*(0/(-11) + -9).
-15
What is (14/(-112))/((-36)/(-192))?
-2/3
(-418)/76*24/(-440)
3/10
Evaluate ((160/(-15))/(-8))/((-20)/(-50)).
10/3
What is (-8*1/3)/(-390 - -389)?
8/3
Evaluate ((-396)/110)/(18/120).
-24
Calculate (-770)/168 + 64/12.
3/4
What is the value of (4255/966)/5 - (-1)/(-6)?
5/7
What is (-36)/9 - 72/(-30)?
-8/5
Calculate (-660)/385*(-63)/18.
6
Calculate -6*(12/3 - 301/86).
-3
Evaluate (-1393 - -1395)*(-1)/4*6/4.
-3/4
28/16*-6*(-45)/(-1890)
-1/4
What is (-7)/((-42)/48) - (-4 - (-85)/5)?
-5
(-1435)/(-123) - 112/(-21)
17
Evaluate (-28)/(-126) + 22/(-18).
-1
Evaluate (924/(-6160))/(6/(-50)).
5/4
What is (-9)/24*2 + 506/88?
5
Evaluate (16/16)/((-15)/(-45)).
3
What is 25/(-15) + ((-1)/9)/((-32)/1632)?
4
What is the value of (-164610)/4836 + 2*17?
-1/26
((-5)/(-2))/(500/175) + -11 - -10
-1/8
Evaluate 201/536*(0 + 8) - -7.
10
Evaluate ((-22)/(-66))/((-135)/(-50) - 3).
-10/9
What is the value of (5/(-49))/(46/(-322))?
5/7
What is (2/(-5))/(157/(-4710))?
12
What is the value of 16 - (-50)/(-5) - ((-6)/3)/(-2)?
5
What is the value of 12360/(-7200) - (-10)/6?
-1/20
What is the value of (4/2)/(1 - 228/84)?
-7/6
What is the value of (14 - 14) + (-5 - (-3 + -2 + 15))?
-15
((-40)/14)/((-8)/28*(2 + -3))
-10
(-44)/(-20) - (10/12)/((-865)/(-2076))
1/5
Evaluate (-244)/(-34) + 1 - (32 + -29 + 5).
3/17
What is the value of 1820/1610 - (4/2 - (3 - 2))?
3/23
(2 + -4)*(19 - 1164/60)
4/5
What is (4 + -5)*1/3 - (-30)/108?
-1/18
Evaluate 66/272 + (-443)/3544.
2/17
(-10379)/(-873) + (-39)/3
-10/9
What is (108/198)/((-30)/(-33))?
3/5
(5/(-10) - 234/(-144))/((-12)/(-8))
3/4
Evaluate 10 + 246*76/(-1881).
2/33
What is the value of (0 - 1)*15/(-28 - -13)*16?
16
(-1323)/(-126) + 20/(-2)
1/2
What is ((-5)/10)/(44/(-264))?
3
What is the value of 3*(-96)/27*168/112?
-16
Calculate (-25760)/770 - ((-9)/(-18) - 1/(-22)).
-34
What is 9 - 5 - (-11 - -21)?
-6
(-41)/5 + 1620/225 + (-1 - 7)
-9
(30/(-30))/((-2)/22)
11
26 + (-114)/6 + 9 - (-4 + -2)
22
(7434/(-60))/21 + 20/8
-17/5
What is (105/8190)/((-1)/9)?
-3/26
What is the value of (-4)/24 - (-1540)/1650*(-2)/8?
-2/5
Evaluate (-2)/(-78*(-80)/520).
-1/6
Evaluate (2/10*(-42)/(-273))/((-6)/(-60)).
4/13
((-1)/5)/((-360)/(-1350))
-3/4
What is (-4)/(-112)*((-20)/5 - -3)?
-1/28
(4*9/(-96))/(342/(-608))
2/3
(1 + (-12)/15)/((-50)/1750)
-7
What is the value of ((-747)/(-2490))/(9/4)?
2/15
Evaluate 34/(-9)*((-638)/44 + 13).
17/3
What is ((-5)/10 + -1)*(-1 + -1 + 4)?
-3
What is the value of (-32)/4 + 4/((-36)/27)?
-11
What is the value of (58/4)/((-46)/(-2208)*24)?
29
913/1386*6 - (-8)/(-3)
9/7
Calculate 5 + 132/11 + -17.
0
Calculate (-66)/14 + (-11)/154*4.
-5
Evaluate ((3 + (-309)/105)*5)/((-12)/(-84)).
2
What is the value of 6/12*12/24?
1/4
Evaluate (-63)/(1260/(-160)) + -9 + -1.
-2
What is 3/(-78) + 29/(3016/(-1764))?
-17
What is the value of (-2)/(-14)*(-44)/(-154)?
2/49
(-16)/10*(-25)/10 + 0
4
What is the value of -9*(-8)/72*0 - 8/(-3)?
8/3
| {
"pile_set_name": "DM Mathematics"
} |
minutes after 12:35 AM?
3:14 AM
How many minutes are there between 9:50 PM and 8:07 AM?
617
What is 709 minutes after 6:32 AM?
6:21 PM
How many minutes are there between 6:59 AM and 5:23 PM?
624
What is 135 minutes before 1:58 AM?
11:43 PM
How many minutes are there between 10:40 AM and 5:22 PM?
402
What is 103 minutes after 1:04 AM?
2:47 AM
What is 317 minutes before 9:08 PM?
3:51 PM
What is 507 minutes after 7:00 AM?
3:27 PM
What is 137 minutes before 10:14 PM?
7:57 PM
How many minutes are there between 2:37 AM and 10:49 AM?
492
How many minutes are there between 2:22 AM and 2:17 PM?
715
How many minutes are there between 9:21 AM and 11:05 AM?
104
What is 420 minutes after 12:17 AM?
7:17 AM
What is 82 minutes before 2:46 PM?
1:24 PM
What is 587 minutes before 7:32 PM?
9:45 AM
What is 315 minutes after 3:48 PM?
9:03 PM
What is 597 minutes before 6:59 AM?
9:02 PM
What is 91 minutes before 12:21 PM?
10:50 AM
What is 502 minutes before 2:24 PM?
6:02 AM
What is 367 minutes after 1:35 PM?
7:42 PM
How many minutes are there between 6:32 PM and 11:42 PM?
310
What is 470 minutes before 5:22 AM?
9:32 PM
What is 576 minutes before 2:30 AM?
4:54 PM
How many minutes are there between 5:20 AM and 11:45 AM?
385
What is 667 minutes after 11:39 PM?
10:46 AM
How many minutes are there between 10:14 PM and 2:14 AM?
240
How many minutes are there between 3:16 AM and 7:16 AM?
240
How many minutes are there between 4:35 PM and 5:00 PM?
25
What is 501 minutes after 1:44 AM?
10:05 AM
How many minutes are there between 10:17 AM and 7:02 PM?
525
How many minutes are there between 6:56 PM and 12:13 AM?
317
What is 235 minutes after 6:36 AM?
10:31 AM
What is 49 minutes before 4:25 AM?
3:36 AM
What is 251 minutes before 8:39 AM?
4:28 AM
How many minutes are there between 3:53 AM and 4:05 AM?
12
How many minutes are there between 7:30 AM and 8:18 AM?
48
How many minutes are there between 7:36 AM and 6:12 PM?
636
What is 231 minutes before 12:46 PM?
8:55 AM
How many minutes are there between 9:48 AM and 8:16 PM?
628
What is 418 minutes after 9:44 PM?
4:42 AM
How many minutes are there between 8:40 AM and 5:58 PM?
558
What is 517 minutes before 2:27 AM?
5:50 PM
How many minutes are there between 4:55 PM and 11:49 PM?
414
How many minutes are there between 4:29 PM and 10:56 PM?
387
How many minutes are there between 2:06 AM and 10:28 AM?
502
How many minutes are there between 9:26 AM and 12:12 PM?
166
How many minutes are there between 7:46 PM and 3:20 AM?
454
How many minutes are there between 11:13 PM and 2:18 AM?
185
How many minutes are there between 9:08 AM and 9:12 AM?
4
What is 641 minutes after 12:48 AM?
11:29 AM
How many minutes are there between 3:23 PM and 10:11 PM?
408
How many minutes are there between 7:50 AM and 2:50 PM?
420
What is 564 minutes after 12:40 AM?
10:04 AM
How many minutes are there between 6:15 AM and 2:43 PM?
508
How many minutes are there between 2:09 AM and 11:12 AM?
543
How many minutes are there between 8:33 PM and 12:46 AM?
253
What is 570 minutes after 4:01 AM?
1:31 PM
What is 54 minutes before 1:54 PM?
1:00 PM
How many minutes are there between 1:25 AM and 10:44 AM?
559
How many minutes are there between 9:48 AM and 10:44 AM?
56
How many minutes are there between 4:37 PM and 4:51 PM?
14
What is 501 minutes before 4:28 AM?
8:07 PM
How many minutes are there between 3:39 AM and 3:53 AM?
14
What is 104 minutes after 4:06 PM?
5:50 PM
How many minutes are there between 2:34 AM and 10:59 AM?
505
What is 39 minutes before 10:52 PM?
10:13 PM
What is 401 minutes after 8:43 AM?
3:24 PM
How many minutes are there between 9:20 PM and 1:45 AM?
265
What is 40 minutes after 2:28 AM?
3:08 AM
What is 104 minutes before 10:24 AM?
8:40 AM
What is 641 minutes after 11:11 AM?
9:52 PM
How many minutes are there between 7:13 PM and 4:20 AM?
547
How many minutes are there between 1:25 AM and 12:54 PM?
689
How many minutes are there between 8:37 PM and 1:30 AM?
293
What is 207 minutes after 2:39 AM?
6:06 AM
What is 144 minutes after 9:48 AM?
12:12 PM
How many minutes are there between 10:33 PM and 9:36 AM?
663
What is 667 minutes after 9:29 AM?
8:36 PM
How many minutes are there between 8:56 AM and 1:22 PM?
266
What is 111 minutes after 4:00 AM?
5:51 AM
What is 474 minutes before 2:20 AM?
6:26 PM
What is 342 minutes after 1:08 AM?
6:50 AM
What is 289 minutes after 1:46 PM?
6:35 PM
How many minutes are there between 5:44 PM and 1:30 AM?
466
What is 321 minutes before 8:36 PM?
3:15 PM
How many minutes are there between 11:40 AM and 2:04 PM?
144
How many minutes are there between 1:44 AM and 7:02 AM?
318
How many minutes are there between 4:02 AM and 6:21 AM?
139
How many minutes are there between 1:26 AM and 11:54 AM?
628
What is 328 minutes after 1:25 AM?
6:53 AM
How many minutes are there between 12:12 PM and 9:48 PM?
576
What is 492 minutes before 10:32 AM?
2:20 AM
How many minutes are there between 3:31 AM and 5:22 AM?
111
What is 704 minutes after 12:59 PM?
12:43 AM
How many minutes are there between 5:13 PM and 10:26 PM?
313
How many minutes are there between 12:32 PM and 4:03 PM?
211
What is 353 minutes after 4:49 AM?
10:42 AM
What is 283 minutes after 6:54 AM?
11:37 AM
How many minutes are there between 6:28 PM and 11:46 PM?
318
How many minutes are there between 1:50 PM and 2:50 PM?
60
What is 559 minutes before 3:26 PM?
6:07 AM
How many minutes are there between 7:32 AM and 12:28 PM?
296
What is 255 minutes after 8:23 PM?
12:38 AM
How many minutes are there between 11:58 AM and 6:14 PM?
376
How many minutes are there between 1:33 AM and 4:23 AM?
170
How many minutes are there between 9:02 PM and 2:29 AM?
327
How many minutes are there between 3:44 PM and 6:48 PM?
184
What is 360 minutes before 10:18 PM?
4:18 PM
How many minutes are there between 9:55 AM and 3:05 PM?
310
How many minutes are there between 12:13 AM and 12:08 PM?
715
How many minutes are there between 5:27 PM and 1:32 AM?
485
What is 243 minutes before 8:49 PM?
4:46 PM
How many minutes are there between 3:14 PM and 2:06 AM?
652
What is 9 minutes before 12:02 AM?
11:53 PM
How many minutes are there between 9:04 AM and 7:47 PM?
643
How many minutes are there between 4:12 AM and 3:16 PM?
664
How many minutes are there between 6:52 AM and 10:47 AM?
235
How many minutes are there between 11:37 PM and 5:31 AM?
354
How many minutes are there between 12:16 PM and 6:55 PM?
399
How many minutes are there between 10:08 PM and 5:33 AM?
445
What is 715 minutes after 8:40 PM?
8:35 AM
How many minutes are there between 4:51 PM and 6:20 PM?
89
How many minutes are there between 2:13 AM and 12:18 PM?
605
What is 662 minutes before 4:26 AM?
5:24 PM
What is 76 minutes before 2:50 AM?
1:34 AM
What is 303 minutes before 3:20 AM?
10:17 PM
How many minutes are there between 1:04 AM and 7:17 AM?
373
How many minutes are there between 11:01 AM and 2:18 PM?
197
How many minutes are there between 5:26 AM and 8:49 AM?
203
What is 715 minutes before 3:40 AM?
3:45 PM
How many minutes are there between 4:46 AM and 5:36 AM?
50
What is 482 minutes after 8:00 AM?
4:02 PM
How many minutes are there between 12:01 PM and 9:18 PM?
557
What is 535 minutes before 1:39 AM?
4:44 PM
How many minutes are there between 5:10 PM and 4:41 AM?
691
How many minutes are there between 10:33 AM and 8:18 PM?
585
How many minutes are there between 4:12 PM and 8:16 PM?
244
What is 454 minutes after 1:17 PM?
8:51 PM
What is 48 minutes before 6:31 PM?
5:43 PM
What is 19 minutes before 3:04 AM?
2:45 AM
What is 107 minutes before 5:41 PM?
3:54 PM
What is 505 minutes after 12:13 PM?
8:38 PM
What is 246 minutes after 11:26 AM?
3:32 PM
How many minutes are there between 2:41 PM and 5:31 PM?
170
What is 353 minutes after 10:35 PM?
4:28 AM
What is 236 minutes before 5:36 PM?
1:40 PM
How many minutes are there between 6:31 PM and 9:21 PM?
170
What is 175 minutes after 11:14 AM?
2:09 PM
What is 714 minutes before 11:11 AM?
11:17 PM
What is 120 minutes before 4:09 AM?
2:09 AM
What is 482 minutes before 9:26 AM?
1:24 AM
What is 623 minutes after 5:12 AM?
3:35 PM
What is 430 minutes before 3:02 AM?
7:52 PM
How many minutes are there between 4:21 PM and 5:30 PM?
69
How many minutes are there between 2:56 PM and 3:37 PM?
41
How many minutes are there betwe | {
"pile_set_name": "DM Mathematics"
} |
5*t for g.
-1
Solve 26 = -2*u - 3*l, -19*u - 1 = -2*u + 22*l - 24*l for u.
-1
Solve -111 = 3*m + 3*b, -74*b = 4*m + 115 + 296 - 125 + 212 for m.
-32
Solve -2001*k = -2*v - 1997*k - 6 - 42, 25*v + 3*k = 10*v + 36 for v.
0
Solve 0 = -3*r - 5*g - 135 + 154, 3*r = 8*g - 7 for r.
3
Solve 42 + 6 = -2*g + j, -103 - 24 = 5*g - 4*j - 2*j for g.
-23
Solve j + 254*t = -250*t + 502*t - 61, 6*t + 56 = 4*t for j.
-5
Solve 20 = 2*t, 11*x + 0*t - 3*t + 85 = -4*t + 51 for x.
-4
Solve 34*k - 5*v = 24, 17*v + 6 = -3*k - k + 22*v - 0 for k.
1
Solve -3*h - 3*i = 153, 470 = 9*h - 5*i + 985 for h.
-55
Solve 18 = -10*q - 2*t, -81*t - 12 = 4*q - 32*t - 47*t for q.
-1
Solve -2*k + 32 = -4*i, -3299*i + 3303*i - k = -32 for i.
-8
Solve -w + 5752 = -y + 5739, 3*w - 46 = -4*y for w.
14
Solve -3*h = 200150*m - 200151*m + 40, -h = -2*m + 20 for m.
4
Solve 556*r - 17 = 555*r - 4*y, -r + 9 = 2*y - 2 for r.
5
Solve -36*t + 4*p - 180130 + 180246 = 0, p + 21 = t for t.
1
Solve 2*p + 2*d = -5*p - 212, -3*p + 8*p + 155 = -5*d for p.
-30
Solve 10*g = a - 14, -3*a + 134 = 5*g - 0*g + 127 for a.
4
Solve -3*w + 43 = 4*z, -21*w - 20131 = -3*z - 20401 for w.
13
Solve 5*k + 5*j = 65, -10*k + j = -51945 + 51760 for k.
18
Solve 3*v - 3*i + 69 = 0, -106 = -15*v + 11*v - 17*i + 12*i for v.
-1
Solve -5*z + 8 = -184477*b + 184476*b, -2*z - 11*b - 31 = 0 for z.
1
Solve -235 + 209 = 2*p, 0 = -c - 3*c + 6*p + 94 for c.
4
Solve -v + 4*m = 0, -386*m + 381*m + 12 - 37 = -6*v + 11*v for v.
-4
Solve 5*v = 150, 7*y + 32*v + 30*v - 58*v = 141 for y.
3
Solve 0 = 5*r - 3*g + 54, 4619*r - 4624*r - 4*g - 68 = 0 for r.
-12
Solve -5*l - 210 = -28*c, -519*l = 4*c - 538*l - 286 for c.
5
Solve 6*x - 22 = -4*j, -3*j - j + 18*j = 9*j + 2*x + x - 25 for j.
-2
Solve 74859*a - h = 74863*a - 71, 6*h = -17*a + 405 for a.
3
Solve 3*g = 6*g + 7*z + 10, 2*g + 736*z - 738*z = 0 for g.
-1
Solve 0 = y - 3*g - 19, -101 - 7 = -176*y - g + 62 for y.
1
Solve 7*n + 6*n = -110*z + 111*z + 8*n - 17, -3*n = -4*z for z.
-3
Solve h = 3*j - 152 + 98, 5*h + 34*j = -25 for h.
-39
Solve -r - 3*s - 20 = 0, 37374*r + 7*s + 55 = 37370*r for r.
-5
Solve -2473*w - u = -4938*w + 2461*w + 10, -2*w + 3*u + 1 + 19 = 0 for w.
1
Solve -5*u = 22853*s - 22858*s - 375, 3*u = 231 for s.
2
Solve -40 = -1915849*w + 1915844*w + 4*r, 5*w + 10*r + 30 = 0 for w.
4
Solve -2*h + 3*z = -5*h + 6*z - 0*z + 99, -5*z - 183 = 4*h for h.
-2
Solve 4*c = 21*z + 31*c - 24*c - 282, -3*z + 2*c - c = -46 for z.
14
Solve 82*g = -o + 81*g + 19, -5*g + 245 = 15*o for o.
15
Solve -343*o - 24 = 4*z - 347*o + 4, -2*z + o - 12 = 0 for z.
-5
Solve -t - 608*c + 44 = -626*c, 1 - 16 = 5*c for t.
-10
Solve -5*j - 33 = -w, -341462*j = -341463*j - 7 for w.
-2
Solve -3*h + 1 + 1 = 8*g + 9, -654*h + 650*h = g - 39 for h.
11
Solve -19*y = -15*y - 6*y - d - 15, 3*y + 4*d = -60 for y.
0
Solve 4*g + 757*u = 754*u - 95, -5*g + 5*u = 75 for g.
-20
Solve -25*w + 4*w - 4*h + 773 = 0, 3556*h + 4 = 3552*h for w.
37
Solve 6*d - 5*n + 318 = -6*d + 19*d, -n + 134 = 7*d - 4*d for d.
44
Solve -4*b = 55*u - 58*u + 13 + 10, 4*u - 5*b - 42 + 12 = 0 for u.
5
Solve 6*n - 5*n + 18 = -4*v, -231*v + 49*n - 50*n = 699 for v.
-3
Solve -2441*i = -2450*i - 3*b - 48, i + 3*i + 14 = 3*b - 3 for i.
-5
Solve 4*y - 3 = -a + 7, 35419*a - 42 = 35416*a for y.
-1
Solve 10*c - 4*z + z = 24 + 58, 5 - 65 = -4*c + 8*z for c.
7
Solve 2*f - g + 16 = 0, 40349*f + 28*g - 241 = 40336*f for f.
-3
Solve -3*g - 22 = -2595*s + 2597*s, -2*g - 13 = s for s.
-5
Solve -9*l - 81 + 94 = 2*u, -4*u + 0*u = -3*l + 79 for u.
-16
Solve -2*y + 0*y - 22*o = 5 + 27, y - o = 8 for y.
6
Solve -5*f - 18 = q - 34, -f = -1 for q.
11
Solve 1182*z - 601*z = 4*u + 580*z + 1, z = 2*u - 1 for u.
-1
Solve -10*q + 6*q = 35*q - 2*i - 147, 5*q - 5*i = 90 for q.
3
Solve 2*j - 509 + 491 = 5*j - 3*t, 0 = -15*j - 22*t - 238 for j.
-10
Solve 5*t = -4*a + 77, -205 - 138 + 412 = 6*t + 3*a for t.
5
Solve -3*t - 5*d - 2796 = -0*t - 2784, 0 = -t - 22*d - 65 for t.
1
Solve -b - 2*z - 41 = 0, -z + 25*z = -5*b + 27*z + 42 for b.
-3
Solve 10*o + 6*o + 3*j - j + 2*j + 0*j = -168, 3*j + 6 = 0 for o.
-10
Solve 3*c + 5*m = 48, -93*m = 4*c - 43*m - 47*m - 53 for c.
11
Solve 147973 = 5*m - 4*z + 147975, 0 = -10*m + 3*z + 11 for m.
2
Solve 409*r - 405*r + 17 = -q, -5*r + 3*q + 51 = 0 for r.
0
Solve -5*b + 1 - 29 - 71 + 169 = -6*w, -4*b + 38 = -w - 18 for b.
14
Solve -461547 = -4*t + w - 461559, 0 = -2*t - 3*w - 20 for t.
-4
Solve 11 = -282*m + 280*m - w, -112*m - 3*w = 563 for m.
-5
Solve 3*y - 5009*k + 5006*k + 1 + 5 = 0, 16 = y + 5*k for y.
1
Solve 1070*h - 1071*h - 5*d - 9 = 0, 37*h + 150 = -2*d for h.
-4
Solve 14*z = 6*c + 326, 0 = 3*c + 22*z - 24*z + 188 for c.
-66
Solve 0 = y + 3*y + 5*d - 150, -7*d - 145 = -5*y + 8*d for y.
35
Solve 21*x - 5*b = -17664595 + 17664477, -4*x - 45 = -3*b for x.
-3
Solve 2*i + 66 + 124 = 5*i - b, 4*i = 4*b + b + 268 for i.
62
Solve 4*o - 10*o + 5*n + 140 = -11*o + 125, -8*n = 4*o + 4 for o.
-5
Solve 80 = -4*y + 2*z, -8482*y + 8484*y = 5*z - 208 for y.
1
Solve -5*h + 236 = -24*a, 2*a - 1 = -0*a + 40*h - 78 - 101 for a.
-9
Solve -662*u - 2*w + 44 = -663*u - 11, -5*u = 7*w - 218 for u.
3
Solve -4*n = 4*x + 7475 - 7447, -5*n - 19*x - 63 = 0 for n.
-5
Solve -4*z - 263*l = -9*z - 265*l - 245, 0 = z + 11*l - 4 for z.
-51
Solve 17 = -1769837*c + 1769835*c - 5*v, 2*c - 3*v - 23 = 0 for c.
4
Solve 56*a + 3*d + 41 = 85*a - 33*a, -a - d = 7 + 7 for a.
1
Solve -2*v = -2*s - 8, 37*v - 8 = -s - 3*s + 38*v for s.
4
Solve -52 = 17*z - 5*t - 153, 678*t + 2 = 3*z + 675*t - 1 for z.
8
Solve -8*x = 4*r - 180, 228 = r - 5*x + 351 for r.
-3
Solve -25*z - 23*z - 9*p = -4*p + 53, 0 = -z - 4*p - 5 for z.
-1
Solve 7*z - p - 5 + 21 = 0, 0 = 10*z - 15*z + 4*p - 18 for z.
-2
Solve 4*q - 4*v = -8, 16409*q - 5*v + 3 = 16411*q for q.
-1
Solve 2*d + 9*q - 27 = 0, -24 = 6690*d - 6695*d - 8*q for d.
0
Solve 3*o - 12 = -20*g, 2*o - g + 2138 - 1079 = 2*g + 1067 for o.
4
Solve -j = 2*j - 5*h - 158, -5*j - 13*h = -8*h - 250 for j.
51
Solve -4*p - 46 = 11*k - 3*k - 6*k, 3*k = 11*p + 118 for p.
-11
Solve 38*v - 11*v = 5*f + 181, -3*v = 4*f + 71 for f.
-20
Solve -6*r + 3*c + 64 = -8*r - 61 + 46, -6*c - 170 = r for r.
4
Solve 679 - 683 = -c, -8*u - 5*c - 20 = 0 for u.
-5
Solve 3*i + 14*n + 89 - 130 = -100, -i + 5*n + 19 = 0 for i.
-1
Solve 5*f + 20 = -5*m - 200, -2*m + 93 = 183 for f.
1
Solve -1186 = 197*s + 4*m, 2075*m - 13 = 2*s + 2076*m for s.
-6
Solve -89*l - 20 = -83*l + 4*r, l - 8*l + 8*r = -116 for l.
4
Solve 16*u - 3 + 0 = -5*t - 19 + 2, 2 = 2*u for t.
-6
Solve 96 = -4*o, 3*f = 5*o + 6889 - 6778 for f.
-3
Solve 8*a - 100*m + 54*m - 82 = -56*m, 2 - 16 + 4 = -2*m for a.
4
Solve -11*s = -6*s - 14*s + 81, 4*k + 103 - 186 = -7*s for k.
5
Solve 9*o + 4*r + 74 = 0, -5*o + 85*r + 102 = 81*r for o.
2
Solve 0 = 4*m + 2*w + 30, m - 95*w - 135 - 732 = 5*m for m.
-3
Solve -5*z = -3*f + 15, -101*f - 15 = -104*f + 11*z for f.
5
Solve -19 = i - w, 42 = 3*i - 7*i - 2*w - 36 - 4 for i.
-20
Solve -z = t - 41532 + 41527, -13 = -2*z - 3*t for z.
2
Solve -143*i + 5*n - 64340 = -64433, 20 = 2*n for i.
1
Solve -195*v + 193*v = -g - 2, -3*g - 7*v - 3 = -5 - 5 for g.
0
Solve 0 = -3*c + 87, 116 = z + 1484*c - 1480*c for z.
0
Solve 0 = -2*x - 5*t + 43, 286*t - 143*t - 36 = -2*x + 139*t for x.
4
Solve -3*r = 2*z + 347, 2*z = 13*r - 5060 + 6617 for r.
-119
Solve -u - 730 = 2*s - 377 - 368, 5*u = 41*s - 333 for s.
8
Solve -5*i + 7*u = 4*u + 271, 0 = 4*u - 28492 + 28504 for i.
-56
Solve -j + 30*j + 145 = 0, 8*j + 35 = q for q.
-5
Solve 5*v = -2*d - 38, -7*v - 124 = -5*v + 35*d - 7*d for v.
-6
Solve 3692*q = 5*w + 3685*q + 78, 0 = 2*w - 4*q + 60 - 18 for w.
-3
Solve 261*r - 258*r = -4*b - 159, 5*r = -b - 248 for r.
-49
Solve -3*v - 5*s + 50 = 0, 244*s + 188 = 4*v + 260*s for v.
-5
Solve -173*v - 380 = -5*p - 109*v, -35 = -5*p - 5*v for p.
12
Solve 5*t = -34*j - 2, -82*j + 78*j = 2*t + 20 for t.
-14
Solve 19*f = 37*f - 31*f - 3*t + 35, 3 = t for f.
2
Solve 4*y = 26*c + 58, 3*c = -6*y + 1432 - 1219 for c.
3
Solve -3*g - 58 = -3*s + s - 68, 4*g - 25*s - 130 = g - 143 for g.
4
Solve -10 + 29 = q + 10*g, 2*q = -0*g + 5*g + 38 for q.
19
Solve -914*f - 62 = -916*f + 2*g, -3*f + 149 = -5*g for f.
3
Solve -5*c - m = 6*c + 14, 2*m - 20 = 2*c for c.
-2
Solve 16 = 5*p - 9, 0 + 35 = 2*k - 3*p + 138 for k.
-44
Solve -5091 = 2*d | {
"pile_set_name": "DM Mathematics"
} |
1/136
What is prob of sequence uu when two letters picked without replacement from {u: 5, c: 4, t: 1, r: 1}?
2/11
Two letters picked without replacement from {u: 1, n: 1, i: 1, l: 1, f: 2, a: 2}. Give prob of sequence in.
1/56
Two letters picked without replacement from ececu. Give prob of sequence ec.
1/5
What is prob of sequence vv when two letters picked without replacement from {p: 2, j: 2, y: 1, t: 1, v: 6}?
5/22
Two letters picked without replacement from {c: 1, o: 2, n: 1, d: 1}. What is prob of sequence cn?
1/20
Calculate prob of sequence ol when two letters picked without replacement from lofjrqol.
1/14
What is prob of sequence ba when two letters picked without replacement from paebe?
1/20
What is prob of sequence ifi when three letters picked without replacement from {i: 4, f: 14}?
7/204
Two letters picked without replacement from bbbbxbbbbmxxbmbbmx. What is prob of sequence xm?
2/51
What is prob of sequence ee when two letters picked without replacement from eeezooooo?
1/12
Three letters picked without replacement from {o: 6, i: 2}. What is prob of sequence ioo?
5/28
What is prob of sequence deee when four letters picked without replacement from {e: 3, d: 1}?
1/4
What is prob of sequence eeee when four letters picked without replacement from {e: 6}?
1
What is prob of sequence nnvx when four letters picked without replacement from {n: 3, v: 1, x: 1}?
1/20
What is prob of sequence oo when two letters picked without replacement from {o: 4, d: 10}?
6/91
Calculate prob of sequence nb when two letters picked without replacement from {n: 4, r: 2, f: 4, z: 3, u: 1, b: 6}.
6/95
What is prob of sequence ts when two letters picked without replacement from stsszszmmzzhszz?
1/42
Calculate prob of sequence le when two letters picked without replacement from kekl.
1/12
Three letters picked without replacement from rfrwrrfwffrw. What is prob of sequence rrf?
2/33
What is prob of sequence xu when two letters picked without replacement from edddxxxeduxxx?
1/26
Two letters picked without replacement from {i: 5, r: 3, w: 3, j: 1, n: 3}. What is prob of sequence wr?
3/70
What is prob of sequence lt when two letters picked without replacement from trjrtl?
1/15
Calculate prob of sequence paap when four letters picked without replacement from tatapaapaaaptp.
3/143
Calculate prob of sequence fff when three letters picked without replacement from {f: 3}.
1
Calculate prob of sequence ym when two letters picked without replacement from {o: 2, h: 3, m: 6, y: 4, c: 1, b: 2}.
4/51
Two letters picked without replacement from vuhxhan. Give prob of sequence uv.
1/42
Three letters picked without replacement from {a: 1, y: 4, u: 1, v: 5, p: 1, h: 1}. Give prob of sequence vvp.
5/429
Two letters picked without replacement from xxxrxxxxxxxrxrx. Give prob of sequence xr.
6/35
What is prob of sequence enz when three letters picked without replacement from {a: 1, e: 10, n: 4, z: 4}?
80/2907
Two letters picked without replacement from {r: 3, z: 5, m: 7, p: 1}. What is prob of sequence pz?
1/48
What is prob of sequence ac when two letters picked without replacement from aayaaaaycaayzaaaccyy?
33/380
Four letters picked without replacement from {w: 3, r: 7, j: 3}. What is prob of sequence wrrw?
21/1430
Calculate prob of sequence gg when two letters picked without replacement from {r: 5, m: 1, g: 4}.
2/15
Three letters picked without replacement from {i: 2, u: 3, l: 1, k: 1}. What is prob of sequence liu?
1/35
Four letters picked without replacement from {a: 1, y: 3, i: 3, z: 6}. What is prob of sequence iyzi?
9/1430
Two letters picked without replacement from raarrarnas. Give prob of sequence rn.
2/45
Two letters picked without replacement from pspcppbbcpbss. Give prob of sequence ps.
5/52
Two letters picked without replacement from qlllllnnqnnlqnqqll. Give prob of sequence nl.
20/153
Two letters picked without replacement from geneppgdpeddpgdneddn. What is prob of sequence gp?
3/95
What is prob of sequence uu when two letters picked without replacement from {u: 2, n: 2}?
1/6
Calculate prob of sequence hqq when three letters picked without replacement from qhhjqe.
1/30
Calculate prob of sequence svvs when four letters picked without replacement from {s: 4, v: 7}.
7/110
Calculate prob of sequence kak when three letters picked without replacement from {a: 3, k: 17}.
34/285
Four letters picked without replacement from {e: 3, s: 3, t: 2}. What is prob of sequence stte?
3/280
Two letters picked without replacement from {o: 4, e: 3, a: 4, r: 4}. What is prob of sequence oe?
2/35
What is prob of sequence mtzn when four letters picked without replacement from {o: 2, n: 1, a: 3, z: 2, m: 3, t: 1}?
1/1980
Calculate prob of sequence xyxy when four letters picked without replacement from yzzxzyyxyxzxyx.
50/3003
Two letters picked without replacement from {h: 4, t: 3, y: 1, s: 4, i: 4, a: 1}. What is prob of sequence ts?
3/68
What is prob of sequence ioii when four letters picked without replacement from iiioo?
1/10
Calculate prob of sequence ii when two letters picked without replacement from {t: 4, i: 2}.
1/15
What is prob of sequence bii when three letters picked without replacement from {i: 1, r: 1, g: 2, b: 2, l: 4}?
0
Four letters picked without replacement from fimjqfmw. What is prob of sequence mfiw?
1/420
Calculate prob of sequence kokr when four letters picked without replacement from krkkkokkkkkrrok.
3/182
Four letters picked without replacement from {e: 6, u: 11, x: 2}. Give prob of sequence euxe.
55/7752
Two letters picked without replacement from {m: 1, f: 1, d: 2}. Give prob of sequence md.
1/6
Calculate prob of sequence uuj when three letters picked without replacement from juuuuuuuuuujjujuuu.
91/612
What is prob of sequence yb when two letters picked without replacement from {b: 15, y: 4}?
10/57
Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}.
1
Calculate prob of sequence xxxd when four letters picked without replacement from {x: 3, d: 8}.
1/165
Three letters picked without replacement from {m: 2, r: 1, g: 1, j: 1, a: 4}. Give prob of sequence ara.
1/42
Three letters picked without replacement from exnxerexxexnx. What is prob of sequence xxe?
10/143
Three letters picked without replacement from {q: 1, p: 1, c: 2, k: 3}. Give prob of sequence kkk.
1/35
What is prob of sequence bb when two letters picked without replacement from {b: 3}?
1
Two letters picked without replacement from {j: 1, t: 1, z: 1, w: 1, c: 1}. Give prob of sequence tc.
1/20
What is prob of sequence usv when three letters picked without replacement from vvvvusuuuduvvvdv?
1/84
Two letters picked without replacement from yyjhyjhyyyhhyhh. Give prob of sequence yj.
1/15
Four letters picked without replacement from jkjk. What is prob of sequence jjkk?
1/6
What is prob of sequence yc when two letters picked without replacement from yyycyyyy?
1/8
Four letters picked without replacement from {c: 15, n: 4}. Give prob of sequence nccn.
35/1292
What is prob of sequence llj when three letters picked without replacement from {j: 1, l: 7, d: 4, f: 2}?
1/52
What is prob of sequence xkai when four letters picked without replacement from xuxuxuxkixixxniiua?
7/18360
Two letters picked without replacement from {e: 1, b: 2, j: 1, o: 1}. Give prob of sequence bj.
1/10
Calculate prob of sequence lay when three letters picked without replacement from aly.
1/6
Three letters picked without replacement from peepwgegpe. What is prob of sequence gpw?
1/120
Calculate prob of sequence rrh when three letters picked without replacement from yrwhlzlhr.
1/126
What is prob of sequence jm when two letters picked without replacement from {k: 6, m: 1, p: 2, j: 4, b: 2}?
2/105
Calculate prob of sequence pw when two letters picked without replacement from {h: 1, t: 4, p: 7, w: 6, a: 2}.
21/190
What is prob of sequence wrp when three letters picked without replacement from {w: 5, e: 3, r: 4, p: 1}?
5/429
Calculate prob of sequence vvv when three letters picked without replacement from {l: 5, v: 5}.
1/12
What is prob of sequence hhxh when four letters picked without replacement from hhhhhhhhxhhhhhyhhh?
7/153
Two letters picked without replacement from yyjjjjj. What is prob of sequence yy?
1/21
What i | {
"pile_set_name": "DM Mathematics"
} |
((-5032)/666)?
3/17
What is the value of (140/4)/((-26)/(52/4)*(-1)/2)?
35
Evaluate ((-4165)/119)/(308/126*(-75)/20).
42/11
What is the value of ((-63)/(-343)*(-28)/(-8))/(40/(-420)*18)?
-3/8
Calculate (147/14)/((10*(-48)/12320)/((-4)/(-14))).
-77
What is ((-8)/(-28))/(1*2*2340/(-1260))?
-1/13
What is the value of (-5)/(1*(((-2755)/(-57))/29)/(-3))?
9
((-6)/(-4))/((-217)/2604*(-3)/(-6))
-36
Calculate ((-62)/(-217))/(((-720)/42)/3).
-1/20
Evaluate ((-2277)/138)/(72/432).
-99
Evaluate (1*17/(4522/342))/((-1)/49).
-63
What is the value of (((-2590)/2331)/((-4)/27))/((-50)/(-540))?
81
What is ((-378)/(-96))/3*-2*(26/(-2))/39?
7/8
What is the value of (-3)/(65/(27170/57))?
-22
(119625/9570)/(-2*2/32)
-100
What is the value of (2/(-10))/(3/387)*-15*(-12)/(-54)?
86
Calculate (-10)/3*2025/540*836/95.
-110
(12*22/(-2640))/((1848/60)/7)
-1/44
Evaluate -2*((-47)/8)/(-48*44/8448).
-47
What is 162/(-108)*72/(-54)?
2
What is ((2/(-20))/(176/(-1320)))/((-12)/(-176))?
11
What is the value of ((-324)/126*812/(-1044))/((-4)/(-98))?
49
What is the value of (-160)/(-3)*(-11685)/(-24928)?
25
Calculate (-135*(-36)/972)/((-5)/41).
-41
Evaluate ((-2)/(-2))/(((-15)/(-245))/((-450)/1050)).
-7
What is the value of (4016/4016)/(1/(1/3))*21?
7
Calculate -406*22/(-5544)*-18.
-29
Calculate (2/4)/(207/(-2)*376/752).
-2/207
What is the value of ((-9)/15*(-1880)/3384)/((-25)/1485*3)?
-33/5
Evaluate 7/(637/60)*616/6336*-36.
-30/13
Evaluate (-7056)/1176*(-57)/(-18).
-19
Evaluate 215/1462*((-3)/(-30))/((-2)/(-24)).
3/17
What is the value of (200/(-6))/((-227)/(-106236)*390)?
-40
Evaluate (-154)/84*(-345)/(-230).
-11/4
Calculate ((-692)/(-865))/(((3/(-45))/(-1))/(375/(-450))).
-10
Evaluate (-4)/((-157)/(10362/(-14124))).
-2/107
What is the value of 7749/(-2214)*4/154?
-1/11
What is 5*((-3)/(-12)*2)/((-5)/(690/161))?
-15/7
Evaluate (9/12)/((234/1092)/((-20)/14)).
-5
Calculate 84/(-462)*(-32604)/((-468)/12).
-152
Evaluate -2*(-5)/(-20)*((-306)/(-68))/(2/(-24)).
27
Evaluate ((-24)/(-1680)*14)/(9/1620).
36
Calculate (100/14)/(4*(-58)/1624).
-50
Calculate (15*-1*19/(-3135)*-66)/(2/26).
-78
((-15)/(-3)*3)/(51*(-30)/(-4590))
45
((-4)/42)/((-60)/75*695/(-278))
-1/21
Evaluate (486/11)/((-26757)/(-65406)).
108
Calculate (-100)/(-9)*(-25623)/(-3796).
75
What is (12/20)/((-225)/60*9/225)?
-4
(((-9779)/231)/127)/(3/180)
-20
What is the value of 4/((-28)/21)*((-6)/36)/((-7)/448)?
-32
What is the value of (((-11)/(-11))/((-1)/(-1)))/(26*(-59)/32214)?
-21
Calculate (-11)/363*(10/(-15))/(39/(-234)).
-4/33
What is ((-2)/(-35))/(14/49*7)*3?
3/35
What is the value of ((3/(-8))/(-3))/(556/6672)?
3/2
Calculate (((-906)/(-6040))/(31/5))/(3/8).
2/31
What is the value of 133/14*(-972)/13851*(114/(-4))/3?
19/3
Evaluate (91*(-11)/231)/(4/(-24)).
26
Evaluate (124/5)/(27310/68275).
62
Calculate (-11)/((-605)/(-22))*(-2)/(-1)*1400/(-980).
8/7
Evaluate (3141/1745)/(15/175).
21
What is the value of (2/(-4*18/(-108)))/(1*9/(-99))?
-33
Evaluate 660/1320*580/(-5).
-58
(25/(-14725)*-31)/(-1*2*9/36)
-2/19
Evaluate 2/((-20)/130*13)*10/(-2).
5
What is (-6)/(-108)*621/108*18?
23/4
What is the value of -8*(396/720)/((-4)/10)?
11
What is ((-12)/8*2)/(113/(6215/4125))?
-1/25
(-5)/((-10)/(-4))*38*31*30/(-1860)
38
(-2664)/(-1665)*990/1408
9/8
Calculate 7*(-3)/6*-32*73/216664.
2/53
Evaluate (7800/1820)/((-1)/7).
-30
What is ((-42)/(-15))/(((-4)/490)/((-34)/(-238)))?
-49
222/(-21)*(-1764)/294*(-14)/(-24)
37
What is (-624)/56*(-2009)/(-574)?
-39
What is the value of (3/2565*171)/(3/(-465))?
-31
(363/22)/((3/(-3))/(1/3))
-11/2
Calculate ((-26)/1)/(((-9)/2)/9).
52
What is (-2)/(37/((-59015)/110))?
29
Evaluate 6/6*-4*24/(-252288)*-72.
-2/73
Evaluate ((9348/(-82))/1026)/(5*(-2)/(-6)).
-1/15
Calculate (-58135)/104643*(-438)/(-10).
-73/3
Evaluate 7/((-168)/(-128))*(-456)/(-76).
32
What is the value of -37*(57/7980*-70)/(1/12*2)?
111
What is the value of (-20835)/13890*(60/45)/(1*(-14)/15)?
15/7
Calculate (144/16)/((12/9)/(7*(-4)/42)).
-9/2
Evaluate (1/40)/(61812/(-145440)).
-1/17
((16/234)/(2082/(-4511)))/((-16)/(-84))
-7/9
What is the value of (-2)/(32/(-27))*(219672/729)/226?
9/4
195/416*(-204)/255
-3/8
What is ((-43260)/(-5047))/(340/(-105))*-2*1/(-3)?
-30/17
Evaluate (-20*(-15)/1200*-4*3)/((-3)/8).
8
Evaluate ((-251)/502*(-1)/2)/(58*5/(-240)).
-6/29
Calculate (-9*(-3)/(-12))/(((-35)/50)/(864/(-3240))).
-6/7
What is ((-4700)/(-2820))/((-10)/468)?
-78
Calculate ((-95)/57)/((1710/999)/(-38)).
37
What is (-93)/(2046/616)*3/(-21)*6?
24
What is the value of ((-1452)/594)/(67/1206)?
-44
Calculate 19/64277*-34*1.
-2/199
Calculate 3/(61/((-2806)/(-4761))).
2/69
Calculate 40/5*-1*(-1407)/(-268).
-42
What is the value of (-3)/((-6)/(-2))*(-342)/399*7/22?
3/11
Evaluate ((-28176)/(-1761))/((48/44)/(-6)).
-88
Calculate (-6210)/1242*(-656)/(-40).
-82
Calculate (15/390*(-40)/10)/((-36)/14508).
62
What is (145/((-2445280)/612))/(-4*1/32)?
9/31
Calculate ((-3)/20)/(2*25/(7000/14)*-18).
1/12
Evaluate (6/((-228)/(-2)))/((-230)/(-230)).
1/19
What is 18*2/3*-13*(-216)/1053?
32
What is the value of -1403*-19*(-54)/(-23598)?
61
What is the value of (30/9)/((-8)/12)*(-12)/((-1260)/15)?
-5/7
Calculate -14*12/8442*21/(-14).
2/67
9/(-6)*5*(-208)/(-12480)*-880
110
((-1323)/(-98))/(((-3)/(-8))/((-102)/136))
-27
What is (9/(-15))/((-528)/4576)*-5?
-26
Calculate (48/(-168))/((-10)/1260*3).
12
(2816/(-34496))/((-8)/8428)
86
What is the value of (1128/54*-1)/(-10*(-22)/(-990))?
94
35/630*384/8
8/3
What is ((-42339)/1552430)/((-1)/4)?
6/55
What is the value of (2/(-21)*9)/(((-360)/1036)/30)?
74
4/1*(9/(-2655))/((-136)/340)
2/59
What is (-51)/(-3)*3*(-578)/(-867)?
34
What is the value of (88407/(-16929))/(1/9)?
-47
Evaluate 1*-11*(-5)/(-110)*-28.
14
What is the value of ((-2142)/39270)/(9/75)?
-5/11
Calculate ((-4)/((-12)/(-963))*8/(-60))/(2898/(-7245)).
-107
What is (21/49)/(501/25718)?
22
Calculate ((-36)/3)/(5/(-1035)*-46).
-54
((1/3)/(7/12))/(20*1/1260)
36
What is the value of ((-6749)/161976)/((-1)/1464)?
61
Calculate (-8)/22*2002/364.
-2
What is the value of (3/((-3)/(-86)))/(64*74/2368)?
43
(-31)/(-9)*((-33)/(-495)*-15)/((-7)/126)
62
Calculate 1120/(-60)*3*(-17)/(1071/(-90)).
-80
What is the value of (589*18/(-171))/(((-3)/(-9))/(6/(-18)))?
62
Evaluate (135/(-36))/(31620/(-272)).
1/31
15440/(-8685)*45/70
-8/7
What is (-150)/(-3)*523/1046?
25
What is the value of (1/(-18))/(694/13880)?
-10/9
((-5)/7*14/(-6))/(2*10/72)
6
Evaluate (-66*(-12)/144)/(14/(-42)).
-33/2
What is the value of ((-7)/(-28))/(115/(-2760))?
-6
Calculate -19*(-565)/(-4294)*(-18)/(-1).
-45
Evaluate (-16)/(-52)*39/(-6)*8*1.
-16
(1/(-45)*(-1612)/(-10478))/(1/5)
-2/117
What is (237/79)/((1/3)/(-1)*-1)?
9
Evaluate ((-15)/(-10))/(31/(-558)).
-27
Calculate 164/4346*-1166*-2*(2*-1)/(-2).
88
Evaluate (-14)/(((-426790)/603)/(-130)).
-18/7
((-8)/50)/(72/2*(-165)/5940)
4/25
2*7*(-1376)/(-7224)
8/3
((-2248)/23042)/(4/(-82))
2
What is (((-420)/75)/(-14))/(33/(-33))?
-2/5
Evaluate ((-126)/192*-8)/(96/128).
7
What is the value of (39/3)/((-294)/(-462)*77/(-21))?
-39/7
Evaluate (((-67)/(196980/60))/(3/7))/((-22)/6).
1/77
Calculate (9657/174)/111*(-11)/((-66)/(-180)).
-15
Evaluate ((-536)/120*-9)/(351/90)*13.
134
2/(-9)*105/36*2025/1875
-7/10
What is 6/(((-6)/(-13))/(3380/(-4394)))?
-10
What is the value of (3010/(-28595))/((-4)/(-1634))?
-43
What is the value of (9/(-5))/(2811/(-4685))*2/(-20)*4?
-6/5
What is the value of ((-264)/(-704)*104/18)/((735/(-900))/(-49))?
130
What is the value of (32/2)/((-668)/5010)?
-120
What is the value of (((-1)/3)/(1/(-3)))/(24925/(-672975))?
-27
What is the value of (820/(-41))/(-4)*(-2)/(-15)?
2/3
Evaluate -6*(-1430)/7260*12/(-117).
-4/33
Calculate (-240)/(-200)*(55/66)/(2/(-44)).
-22
What is (((-52)/117)/(1/(-9)))/(12/(-12))?
-4
Calculate ((-6435)/165)/(5/(-25)*3).
65
What is the value of ((-1684)/(-4210))/(1/1)*10*1/134?
2/67
What is 8289/(-69075)*(-2)/3?
2/25
(180/(-54))/((-2)/(-42))
-70
What is the value of 10065/2684*5/(725/8)?
6/29
What is the value of (-1*28)/((33/132)/((-2)/(-16)))?
-14
What is (((-307998)/852)/241)/(4/((-1016)/3))?
127
Evaluate (173/((-144109)/(-238)))/(216/(-14)).
-1/54
Calculate (6/(-114)*-1)/1.
1/19
Evaluate ((-2)/2)/(37*(-86)/(-95460)).
-30
What is the value of (118/354)/((-4)/(-42)*(-4396)/(-1413))?
9/8
What is ((-18)/5805*-129)/((-8)/5 | {
"pile_set_name": "DM Mathematics"
} |
ivide 5517771?
True
Is 487405620 a multiple of 15?
True
Is 94 a factor of 828111435?
False
Is 97 a factor of 179248056?
False
Is 32021710 a multiple of 170?
True
Is 35640334 a multiple of 314?
False
Is 262200827 a multiple of 92?
False
Is 169614882 a multiple of 1899?
True
Is 220517928 a multiple of 4366?
True
Is 179 a factor of 742531917?
True
Is 562 a factor of 266160304?
False
Does 78 divide 105752012?
False
Does 180 divide 30238835?
False
Is 33244761 a multiple of 11?
True
Is 127078220 a multiple of 9?
False
Is 134 a factor of 1547201612?
False
Is 167108300 a multiple of 25?
True
Is 71 a factor of 140637709?
False
Does 1582 divide 4372132268?
True
Is 51108069 a multiple of 17?
True
Is 12102156 a multiple of 44?
True
Is 62 a factor of 229117652?
True
Is 5799159 a multiple of 153?
True
Is 23 a factor of 140785484?
True
Is 4104 a factor of 1004396544?
True
Does 294 divide 726000366?
True
Is 110925070 a multiple of 695?
False
Does 4 divide 393709?
False
Is 6231672 a multiple of 164?
True
Does 112 divide 961975728?
True
Is 410536658 even?
True
Is 36442332 a multiple of 1283?
True
Is 1337 a factor of 222793519?
False
Does 720 divide 1535996516?
False
Is 757323225 a multiple of 127?
True
Is 97900453 a multiple of 2191?
True
Is 1425 a factor of 652128144?
False
Does 1368 divide 41958142?
False
Is 3 a factor of 125976972?
True
Is 2018 a factor of 252835347?
False
Is 1907248554 a multiple of 3298?
False
Does 6 divide 180885396?
True
Is 50080793 a multiple of 1003?
True
Is 1035 a factor of 636469232?
False
Is 3365984505 a multiple of 2587?
True
Does 602 divide 284843668?
False
Is 18782140 a multiple of 1222?
True
Does 8 divide 72876704?
True
Does 28 divide 25654692?
True
Does 84 divide 4847521812?
True
Is 54 a factor of 232142544?
True
Does 6 divide 124701558?
True
Does 170 divide 240937770?
True
Is 16 a factor of 69842896?
True
Is 14548548 a multiple of 479?
False
Is 156 a factor of 45447394?
False
Is 100028815 a multiple of 16?
False
Is 115388994 a multiple of 281?
False
Is 17 a factor of 36434951?
False
Does 433 divide 49806801?
False
Is 43 a factor of 623103368?
True
Is 354872014 a multiple of 2989?
True
Is 13 a factor of 24095526?
True
Is 11 a factor of 33660561?
True
Does 131 divide 221438994?
True
Is 9 a factor of 167347179?
True
Is 6 a factor of 1179990840?
True
Is 23730064 a multiple of 2190?
False
Does 279 divide 581282550?
True
Is 9 a factor of 735902796?
False
Does 15 divide 1791128850?
True
Is 25 a factor of 4215643343?
False
Is 11414323 a multiple of 95?
False
Is 781007918 a multiple of 93?
False
Is 331 a factor of 4653860?
True
Is 3 a factor of 103765193?
False
Does 41 divide 73464824?
False
Is 480240941 a multiple of 13?
False
Does 4946 divide 1886655054?
False
Is 94 a factor of 32701284?
True
Is 3038 a factor of 24844764?
True
Does 13 divide 68308708?
True
Does 32 divide 33627590?
False
Is 2927790684 a multiple of 364?
True
Is 604 a factor of 33860898?
False
Is 75 a factor of 1713413925?
True
Is 45 a factor of 39326241?
False
Is 173014912 a multiple of 128?
True
Is 4 a factor of 108128088?
True
Does 661 divide 1970106534?
True
Is 5984292 a multiple of 12?
True
Is 495487184 a multiple of 16?
True
Is 4 a factor of 39953437?
False
Is 28 a factor of 283791620?
True
Is 495742014 a multiple of 5?
False
Is 1442 a factor of 2006267764?
False
Does 17 divide 96921528?
False
Does 15 divide 7916025?
True
Is 169074008 a multiple of 466?
False
Is 279235235 a multiple of 58?
False
Is 5451159 a multiple of 2?
False
Is 1203 a factor of 3127800?
True
Is 17494500 a multiple of 169?
False
Does 16 divide 63742608?
True
Is 871085756 a multiple of 2876?
True
Is 28 a factor of 11958809?
False
Is 42 a factor of 183364356?
True
Does 861 divide 5414029992?
True
Is 99740253 a multiple of 3060?
False
Does 5 divide 42792791?
False
Is 57809780 a multiple of 2954?
True
Is 226273888 a multiple of 16?
True
Does 89 divide 107800349?
False
Does 72 divide 95470344?
True
Does 589 divide 192674689?
False
Is 819283321 a multiple of 1045?
False
Is 268555372 a multiple of 230?
False
Is 84 a factor of 11487243?
False
Does 615 divide 823398285?
True
Does 1190 divide 214956243?
False
Does 1149 divide 15490818?
True
Is 191 a factor of 328618826?
False
Does 50 divide 52987100?
True
Is 4347 a factor of 1204123926?
False
Does 362 divide 220902302?
False
Is 1273 a factor of 127553327?
True
Is 3203402098 a multiple of 26?
True
Is 9080592 a multiple of 48?
True
Does 72 divide 95999393?
False
Does 71 divide 5898323?
False
Is 19 a factor of 407035955?
True
Is 61939344 a multiple of 176?
False
Does 36 divide 679458060?
True
Is 352256049 a multiple of 2901?
False
Does 272 divide 1770806768?
True
Is 163223268 a multiple of 586?
True
Does 2071 divide 70958823?
False
Is 6535 a factor of 2269465570?
False
Does 88 divide 185875823?
False
Is 47 a factor of 1253602612?
True
Is 21796349 a multiple of 38?
False
Does 119 divide 37814056?
False
Does 301 divide 190299424?
True
Does 4345 divide 41824831?
False
Is 12 a factor of 67351540?
False
Is 164063625 a multiple of 5?
True
Is 160463597 a multiple of 491?
False
Does 4 divide 679919792?
True
Is 4763238 a multiple of 6?
True
Is 231638312 a multiple of 670?
False
Does 1102 divide 5792757?
False
Is 191522850 a multiple of 1139?
True
Does 6 divide 8708400?
True
Is 50400656 a multiple of 1096?
True
Is 2256 a factor of 780422592?
True
Does 4385 divide 50532063?
False
Is 10814586 a multiple of 502?
True
Does 1893 divide 1450098576?
True
Is 160392192 a multiple of 256?
True
Is 20 a factor of 45147625?
False
Is 130451700 a multiple of 12?
True
Is 357044742 a multiple of 18?
True
Is 38 a factor of 122626076?
True
Is 17 a factor of 617718134?
False
Does 5 divide 14535805?
True
Does 52 divide 17070404?
True
Is 3 a factor of 5218947?
True
Is 478748004 a multiple of 297?
False
Is 1588875912 a multiple of 486?
True
Is 521646502 a multiple of 1586?
True
Does 162 divide 6795451?
False
Is 172292572 a multiple of 74?
True
Does 53 divide 25266075?
False
Does 17 divide 1444759076?
True
Is 133322905 a multiple of 19?
True
Is 25 a factor of 680693600?
True
Does 654 divide 9022584?
True
Is 28 a factor of 1950841004?
True
Does 79 divide 471797432?
False
Is 94141000 a multiple of 10?
True
Is 194 a factor of 39972342?
True
Is 287255213 a multiple of 11?
False
Is 1842431054 a multiple of 23?
True
Does 28 divide 11030796?
True
Does 841 divide 241706709?
False
Is 681840808 a multiple of 638?
True
Is 2 a factor of 1412762?
True
Is 109 a factor of 517353855?
False
Is 108 a factor of 688301887?
False
Is 2823120 a multiple of 30?
True
Is 309 a factor of 10388889?
True
Is 1576 a factor of 107548976?
False
Is 6974376 a multiple of 424?
True
Is 14 a factor of 30890123?
False
Is 19165509 a multiple of 11?
True
Does 529 divide 632926677?
False
Does 1485 divide 75564166?
False
Does 401 divide 258813998?
False
Does 3924 divide 460886626?
False
Does 125 divide 532055250?
True
Does 28 divide 7051744?
True
Is 1896711784 a multiple of 1672?
True
Does 2 divide 67283536?
True
Is 235 a factor of 14527230?
True
Does 112 divide 50772960?
True
Is 73 a factor of 11131040?
True
Is 19871717 a multiple of 608?
False
Is 15 a factor of 121236392?
False
Does 1005 divide 167987760?
True
Does 3631 divide 1854161866?
False
Is 16 a factor of 25783936?
True
Is 15 a factor of 140768475?
True
Is 40375672 a multiple of 92?
True
Is 29 a factor of 4690663?
True
Is 33151144 a multiple of 26?
True
Is 9 a factor of 4569824?
False
Is 54922217 a multiple of 7?
True
Does 3 divide 1004050323?
True
Is 13 a factor of 140168762?
False
Is 11 a factor of 88468556?
True
Is 66871750 a multiple of 2?
True
Is 4 a factor of 325681765?
False
Is 46233460 a multiple of 19?
True
Is 3722 a factor of 4476859881?
False
Is 6785793 a multiple of 187?
False
Is 6269 a factor of 770522790?
True
Is 530 a factor of 269801800?
True
Does 64 divide 120684757?
False
Is 238 a factor of 130065096?
True
Is 1405962374 a multiple of 6545?
False
Does 162 divide 210739644?
True
Is 2405918066 a multiple of 562?
True
Is 12482385 a multiple of 57?
False
Is 349176278 a multiple of 8074?
True
Does 40 divide 62876903?
False
Is 231 a factor of 11124960?
True
Is 191182320 a multiple of 60?
True
Is 200 a factor of 88878468?
False
Does 2396 divide 107465392?
Tr | {
"pile_set_name": "DM Mathematics"
} |
18*y - 20*y + 36*y. Give p(r(x)).
-28*x
Let r(b) = -11*b. Let z(y) = 41435*y. What is r(z(p))?
-455785*p
Let v(j) = -8*j + 11. Let u(n) = -3*n + 4. Let k(g) = 11*u(g) - 4*v(g). Let t be ((-7)/2)/(4/(-8)). Let p(d) = -2*d - t*d + 6*d. Determine p(k(l)).
3*l
Let j(a) be the third derivative of -a**5/120 + a**3/2 - a**2. Let p(x) be the first derivative of j(x). Let o(i) = -5*i + 9*i - 6*i. Calculate o(p(y)).
2*y
Let d(y) = -717*y. Let c(q) = 83*q**2 - 148*q**2 + 63*q**2. Determine c(d(f)).
-1028178*f**2
Let v(q) = 23*q. Let w(g) = -5*g**2 - 4*g. Let r(s) = 4*s**2 + 3*s. Let p(y) = -4*r(y) - 3*w(y). What is v(p(j))?
-23*j**2
Let b(l) = 8 + 6 + 6*l + 45 - 97. Let r(p) = -2*p. Give r(b(m)).
-12*m + 76
Let b(s) = -5*s**2 + 40*s. Let a(x) = 8*x + 4. What is b(a(y))?
-320*y**2 + 80
Let w(o) = -2*o**2. Suppose 12 = 5*j + j. Let y(d) = 3*d**2 - 3*d**2 - 2*d**j - d**2. Calculate y(w(i)).
-12*i**4
Let g(t) be the first derivative of 9*t**2/2 - 41. Let o(q) = -7*q. Determine o(g(h)).
-63*h
Let q(i) = 5*i**2 - 31*i**2 + 0*i**2. Let s(u) = -5*u**2. Determine s(q(m)).
-3380*m**4
Let a(m) = 19*m**2. Let o(p) be the second derivative of p**7/2520 + 13*p**4/12 - 9*p. Let t(u) be the third derivative of o(u). Give a(t(f)).
19*f**4
Let m(g) = g**2 + 5*g - 20. Let b be m(11). Let l(h) = 77*h + 76*h - b*h. Let o(q) = -3*q. Determine o(l(u)).
9*u
Let p(u) = -2*u. Let l(w) = 16*w + 20*w - 1 + 49*w. Give l(p(m)).
-170*m - 1
Let i(j) = 171*j. Let u(d) = 139*d + 1. Calculate i(u(b)).
23769*b + 171
Let o(h) = -h + 0*h + 2*h + h. Let p(w) = 15*w + 7*w - 11*w. Determine o(p(v)).
22*v
Let x(y) = 5*y**2 + 27. Let d(p) be the second derivative of p**4/12 - 2*p + 57. What is x(d(n))?
5*n**4 + 27
Let a = 1252 + -1249. Let k(w) be the third derivative of 0 + 0*w + 0*w**a + 7*w**2 + 1/4*w**4. Let n(i) = 4*i. Determine k(n(b)).
24*b
Let v(l) = -40868*l. Let b(a) = 18*a**2. Determine b(v(c)).
30063481632*c**2
Let f(g) = 2*g**2. Let p(d) be the second derivative of 0*d**2 - 5/3*d**3 - 15*d + 0. What is f(p(j))?
200*j**2
Let l(g) = -14*g**2. Let u(t) = -148507*t. Determine l(u(a)).
-308760606686*a**2
Let x(m) = 2*m - 7*m - 4*m. Let n(c) = -10*c**2 - 6*c - 6. Let b(q) = -8*q**2 - 5*q - 5. Let v(g) = 6*b(g) - 5*n(g). What is x(v(a))?
-18*a**2
Let q(r) = 9282*r. Let j(g) = -3*g. Determine q(j(m)).
-27846*m
Let q(y) = -13*y**2. Let n(a) = 12*a**2 + 2*a - 18*a**2 - 3*a**2. Give n(q(g)).
-1521*g**4 - 26*g**2
Let v(d) = 2*d**2. Let f(p) = 115*p + 6. Let z(k) = 229*k + 11. Let i(x) = 11*f(x) - 6*z(x). Give v(i(h)).
23762*h**2
Let h(y) = -28*y**2. Let i(t) = -2*t. Let c(z) be the first derivative of 3*z**2 + 6. Let m(d) = 5*c(d) + 16*i(d). Determine m(h(u)).
56*u**2
Let v(r) = -2*r**2. Let i(q) be the second derivative of q**5/30 + q**2/2 - 8*q. Let k(a) be the first derivative of i(a). Determine v(k(g)).
-8*g**4
Let x(u) be the third derivative of -u**4/12 + 2*u**2. Let f(j) = 2*j**2 - 9*j - 3. Let d(r) = 25*r**2 - 120*r - 40. Let l(y) = 3*d(y) - 40*f(y). Give l(x(k)).
-20*k**2
Let n(k) = -13*k**2. Let c(x) = -9*x + 8. Let v(o) = -55*o + 50. Let d(r) = 25*c(r) - 4*v(r). Give d(n(l)).
65*l**2
Let g(v) = -5*v + 15982. Let h(b) = 5*b. Calculate h(g(t)).
-25*t + 79910
Let o(u) = -16*u. Let c(v) = -4703*v. Give c(o(d)).
75248*d
Let y(x) = -3*x + 10. Let s(a) = -5375*a**2. What is y(s(u))?
16125*u**2 + 10
Let x(v) = -24*v**2. Let d be 142/10 - (-3)/(-15). Let f(h) = d*h - 14*h - h**2. Calculate f(x(b)).
-576*b**4
Let i(z) = -3*z. Let c(k) = 74115*k. Give c(i(o)).
-222345*o
Let r(q) = -1575 + 0*q**2 + 1576 - 4*q**2. Let a(f) = 2*f**2. Give a(r(z)).
32*z**4 - 16*z**2 + 2
Suppose w - 4 = -w. Let a(s) = -3*s + w*s - s. Let p(z) be the first derivative of -2*z**3/3 + 98. What is a(p(r))?
4*r**2
Let i(q) = q**3 - 3*q**2 - 6*q + 12. Let w be i(6). Let j(v) = v + w*v**2 - 81*v**2 - v. Let m(u) = -15*u. Calculate j(m(t)).
675*t**2
Let j(d) = d**2. Suppose -2*i + 12 = 2*i. Let x(z) = -52*z**2 - 10. Let w(c) = -17*c**2 - 3. Let u(l) = i*x(l) - 10*w(l). Calculate j(u(r)).
196*r**4
Let u(z) be the third derivative of -z**4/12 - 4*z**2. Let a(w) = -23*w - 1 + 1 + 9*w. What is a(u(f))?
28*f
Let b(y) = -10*y**2. Let c(r) = -26*r**2 + 14*r**2 + 5*r**2 + 5*r**2. What is c(b(g))?
-200*g**4
Let w(h) = h**2. Let d(m) be the second derivative of -8*m**3/3 + 2*m**2 + 81*m. Give w(d(j)).
256*j**2 - 128*j + 16
Let u(i) be the first derivative of 5*i**2/2 - 2*i + 253. Let z(v) = 5*v**2. Give z(u(p)).
125*p**2 - 100*p + 20
Let v(m) = 3*m**2. Let b(r) = 4*r - 1. Let a(c) = 122*c - 5. Let l(t) = -a(t) + 6*b(t). What is v(l(k))?
28812*k**2 + 588*k + 3
Let m(h) = -5*h**2 - h**2 + 0*h**2. Let i(r) be the first derivative of r**2/2 + 609. Give i(m(o)).
-6*o**2
Let l(j) be the third derivative of -j**5/30 - 123*j**2 - j. Let k(w) = -22*w. What is l(k(u))?
-968*u**2
Let x(b) = -5*b. Let a(j) = 6*j. Let f(g) = -5*a(g) - 5*x(g). Suppose -13 = 4*s - 5, 4*s = -4*l. Let i(z) = -l*z**2 + 18*z**2 - 13*z**2. Calculate f(i(o)).
-15*o**2
Let d(m) = -177*m. Let g(w) be the first derivative of -2*w**3/3 + 203. What is d(g(o))?
354*o**2
Let o(c) be the second derivative of c**4/12 - c. Let v(f) = -3. Let g(z) = z + 4. Let a(l) = -3*g(l) - 4*v(l). Give o(a(x)).
9*x**2
Let s(m) = -2*m. Let w(d) = 0 + 0 - 26*d + 3 - 10 + 4. Calculate w(s(n)).
52*n - 3
Let r(u) be the second derivative of u**4/6 - 122*u. Let c(t) = 4*t + 31. Calculate r(c(i)).
32*i**2 + 496*i + 1922
Let d(n) = -2*n**2. Let p(l) = 35*l - 13*l + 72*l. What is d(p(v))?
-17672*v**2
Let k(d) = 33*d**2 - d. Let m(z) be the second derivative of -z**4/12 + 75*z. Calculate m(k(o)).
-1089*o**4 + 66*o**3 - o**2
Let x be (4 + -1 + -3)/1. Suppose 0 = 5*c - x*c - 30. Let h(g) = c*g - 7*g + 6*g. Let b(f) = 3*f**2. Give b(h(t)).
75*t**2
Let g(z) = 2*z**2 + z + 2. Let v(m) = m**2 + m + 2. Let o(l) = 3*g(l) - 3*v(l). Let t(y) = -2*y - 105. What is o(t(q))?
12*q**2 + 1260*q + 33075
Let i(x) = 611*x + 858. Let c(b) = 17*b + 24. Let w(v) = 143*c(v) - 4*i(v). Let j(l) = -4*l**2. Determine w(j(q)).
52*q**2
Let w(a) = 8*a. Let g(n) be the third derivative of n**5/30 + 16*n**2. Determine w(g(o)).
16*o**2
Let y(u) = -8*u**2 + 4*u. Let z(o) = 1273 - 1273 + 4*o**2. Calculate y(z(w)).
-128*w**4 + 16*w**2
Let g(p) = -58*p. Let c(w) be the second derivative of w**3/3 + 119*w. What is g(c(d))?
-116*d
Let q(n) = -12*n - 7. Let s(z) = -608*z. Calculate q(s(r)).
7296*r - 7
Let f(v) be the second derivative of -v**7/1260 - 7*v**4/6 - 11*v. Let r(u) be the third derivative of f(u). Let s(k) = -2*k + 0*k - 7*k. What is s(r(o))?
18*o**2
Let a(q) = 12*q**2. Let z(k) = 7*k**2 - 3*k. Let m(r) = r**2 - r. Let y(d) = 3*m(d) - z(d). Give a(y(b)).
192*b**4
Let p(f) be the second derivative of -f**4/12 + 3*f. Let m(k) be the third derivative of 0*k - 1/12*k**4 + 0 - 2*k**2 + 0*k**3. What is p(m(g))?
-4*g**2
Let m(f) = -2*f**2 + 0*f**2 - 12*f**2 - f**2. Let s(a) = 6*a - 4. Let y(r) = -r + 1. Let b(v) = s(v) + 4*y(v). Give m(b(l)).
-60*l**2
Let q(u) = 2*u. Let z(y) = 925*y - 16 - 466*y - 444*y. What is q(z(k))?
30*k - 32
Let n(x) be the first derivative of 13*x**2/2 - 7*x - 92. Let l(j) = -3*j. Determine l(n(w)).
-39*w + 21
Let i(b) = 2*b. Let w(m) be the second derivative of m**5/15 - 8*m**3/3 - 9*m. Let o(z) be the second derivative of w(z). Give i(o(y)).
16*y
Let q(f) = -4*f. Let j be 1/(-4) + 350/200. Let b(s) be the first derivative of 1 - j*s**2 + 0*s. Determine b(q(l)).
12*l
Let k(w) = -20*w. Let g(t) = -34344*t - 2. What is g(k(q))?
686880*q - 2
Let a(i) be the third derivative of i**5/15 - i**3/2 + 85*i**2. Let n(z) = z**2. Calculate a(n(g)).
4*g**4 - 3
Suppose -2*m - 3*m + 20 = 0. Let u(w) = -3*w**2 - m*w**2 + 6*w**2. Let g(c) be the second derivative of -c**4/12 + 771*c. Give g(u(k)).
-k**4
Let s(l) = -5*l**2 - 4*l. Let f(j) = -11*j**2 - 9*j. Let k(g) = -4*f(g) + 9*s(g). Let z(o) = -42*o**2. What is k(z(c))?
-1764*c**4
Let c(r) = -32*r**2. Let j(l) = -146*l**2 + 6. Give j(c(h)).
-149504*h**4 + 6
Let x(r) = -2722*r**2 + 1362*r**2 + 1382*r**2. Let b(y) = 5*y. Determine b(x(s)).
110*s**2
Let d(n) = -5664*n**2. Let o(x) = -x. Calculate d(o(j)).
-5664*j**2
Let s(p) = -2*p**2 - p - 1. Let z(o) = 20*o + 7. Determine s(z(t)).
-800*t**2 - 580*t - 106
Let a(s) be the first derivative of s**2 - 2. Let c(k) be the third deriva | {
"pile_set_name": "DM Mathematics"
} |
of 1 and l.
1
Let g = -128 - -133. Suppose 20 = 2*k + 2*k. Calculate the highest common factor of g and k.
5
Let t(y) = y**3 - 4*y**2 - 12*y + 14. Let g be t(6). Calculate the highest common factor of g and 63.
7
Suppose -m - 4 + 76 = 0. Suppose 3*r = -r + 32. Calculate the highest common factor of r and m.
8
Suppose 949 = 9*l - 572. What is the greatest common divisor of 13 and l?
13
Let m(b) = -b + 15. Let u be m(11). Let q(v) = 4*v**2 - 6*v - 5. Let g be q(u). What is the highest common divisor of 14 and g?
7
Let a(i) = i**2 + 4*i + 4. Let l(n) = -n**2 + n - 1. Let v(p) = a(p) + 2*l(p). Let t be v(5). Calculate the greatest common divisor of 49 and t.
7
Let v be ((-7)/(-4))/((-1)/(-12)). Let n be 2*1 + 5/5. Calculate the greatest common divisor of n and v.
3
Let z = 105 + -96. Calculate the greatest common divisor of z and 1.
1
Suppose 28 = -3*n - n. Let c be 4/4 - n*1. Calculate the greatest common divisor of 20 and c.
4
Let w(c) = 9*c - 3. Let y be w(7). Calculate the highest common factor of 40 and y.
20
Let u = 8 - 2. Suppose -2*v + u = -0*v. Let r be 4/18 + (-935)/(-45). What is the greatest common divisor of r and v?
3
Suppose -v - 96 = -3*v. Let b be 2 + -5 + (2 - 0). Let p be 79/5 - b/5. What is the highest common factor of v and p?
16
Let d = 11 - 56. Let s = 69 + 6. Let h = s + d. Calculate the greatest common divisor of 12 and h.
6
Suppose -9*q + 209 = -250. Calculate the greatest common divisor of 17 and q.
17
Let p be -4*(-30)/8 - 4. Calculate the greatest common divisor of p and 44.
11
Let i = 1 + -3. Let g be 4/i + 1 + -1. Let b be -2 - (-11 - (-3 - g)). What is the highest common divisor of 12 and b?
4
Suppose -4*y + 30 = -d, 2*y - 90 = -0*d + 3*d. Let o be (2 - -2) + d/(-3). Calculate the highest common divisor of 21 and o.
7
Suppose -2*y - 9 = z, -5*y + z - 24 = 4*z. Let g be 1/(((-3)/5)/y). Let i be g*(0 + (-12)/(-10)). Calculate the greatest common divisor of i and 4.
2
Let z = -15 - -33. Let m = 38 + 34. Calculate the greatest common factor of m and z.
18
Let n = -8 - -31. Calculate the highest common divisor of n and 253.
23
Let b = -37 + 50. What is the highest common factor of 13 and b?
13
Let m be 2/(-7) - 76/28. Let h(f) = f**3 + 4*f**2 - 2*f. Let g be h(m). What is the highest common divisor of g and 6?
3
Let v be (-6)/21 - (-23)/7. Suppose 13 + 8 = v*m. Let j be m/((-7)/2) - -24. Calculate the highest common divisor of j and 44.
22
Let s be (18/(-3))/((-3)/40). Suppose 26 - s = -w. Suppose 5*o = 17 + 13. Calculate the greatest common divisor of w and o.
6
Suppose 9 = -4*n + w - 6*w, 0 = 5*n - w + 33. Let o be 39/33 - n/(-33). Suppose o = -5*h + 16. Calculate the highest common divisor of h and 3.
3
Suppose -5352 = -13*i + 108. What is the greatest common divisor of 60 and i?
60
Suppose -248 = -5*r + 4*d, 4*r - 2*d = 106 + 90. What is the greatest common divisor of 120 and r?
24
Suppose -o + 3*o = 4. Let s be 2/4 - (-3)/o. Suppose -3*d - s*d + 327 = 4*b, b = 3*d + 103. What is the highest common factor of b and 22?
22
Let u = -448 - -756. Suppose 4*w = 0, -2*i - w = -0*w - u. Calculate the highest common factor of i and 22.
22
Let q(j) = j**3 - 5*j**2 + 10*j - 6. Let k be q(4). Calculate the greatest common factor of 9 and k.
9
Let i(w) = w**3 + 8*w**2 + 6*w + 9. Let k be i(-5). Calculate the greatest common divisor of 90 and k.
18
Let z = -19 - -47. What is the greatest common factor of 35 and z?
7
Let t be (1/(-4))/(1/(-52)). Let z = 9 + t. Calculate the greatest common factor of z and 2.
2
Let o be (4/6)/(8/84). Suppose 2*g = 6*g. Suppose g*m + 28 = m. What is the highest common factor of m and o?
7
Suppose -3*w - 53 = 2*w + 4*z, -24 = 2*w + 3*z. Let q be 191/3 + 6/w. Suppose 0 = -3*t + t + 14. Calculate the highest common divisor of t and q.
7
Suppose -u = -7*u + 60. What is the highest common divisor of 2 and u?
2
Suppose -2*j + 4*u + 325 = -113, 5*j + 2*u - 1035 = 0. What is the greatest common divisor of 11 and j?
11
Suppose 4*b - 2*x - 62 = 0, -4*b + 50 = -x - 15. Suppose d - 5 = 2*a - 4*a, 47 = 5*d - a. Let q = b - d. What is the greatest common factor of q and 32?
8
Let b = 126 - 54. Suppose -x + s = -6, -4*x + 3*s - s + 14 = 0. Let q be 40/15*3*x. What is the highest common factor of q and b?
8
Let a be (-20)/(-40)*(-1 - 13)*-9. What is the greatest common divisor of 21 and a?
21
Let w = -7 - -11. Suppose w*o - 4*v - 8 = v, -5*v = 3*o - 6. Calculate the greatest common divisor of o and 10.
2
Suppose 5*h = 5*m + 65, -h - 5*m = -0*m + 11. Calculate the greatest common divisor of 36 and h.
9
Let u(m) = 4*m**3 + 2*m**2 - 3*m + 1. Let d be u(2). Let s(o) = 4*o - 22. Let p be s(9). What is the greatest common factor of p and d?
7
Let h = -1 - -3. Let c be (3/h)/((-21)/28). Let n be c - -2 - -1 - 0. What is the highest common factor of n and 9?
1
Let u = 49 + -37. What is the greatest common divisor of 24 and u?
12
Let p = 56 - -120. What is the greatest common divisor of 22 and p?
22
Suppose -2*o = -h - 8 - 3, -4*h = 3*o. Let m(r) = r + 2 - 2*r**2 - 2*r**2 + 2*r**2 + r**3. Let i be m(2). What is the highest common factor of i and o?
4
Suppose j - 20 = -2*i + 31, 5*j - 21 = -i. Calculate the highest common divisor of i and 39.
13
Let v(c) be the first derivative of -c**3/3 + 11*c**2/2 - 4*c + 3. Let i be v(9). What is the highest common factor of 42 and i?
14
Suppose 0 = -2*g - g + 759. Let d be 2 - (-132)/(0 - -3). Suppose 6*o = 4*o + d. Calculate the highest common factor of o and g.
23
Suppose 2*m + 3*s = 45, 0 = 4*m - 0*m + 4*s - 88. Calculate the greatest common divisor of m and 7.
7
Let o(z) = 5*z**2 + 4*z + 2. Let h be 8/6*(-6)/4. Let m be o(h). Calculate the highest common factor of m and 42.
14
Let i = 12 - 8. Suppose -k = 2*v - 4 - 4, 5*k - 3*v - 1 = 0. Suppose 180 = k*q + 3*q. What is the greatest common divisor of i and q?
4
Let x = 9 - 3. Suppose 447 = 5*n + 3*m, 0 = -n + 6*n - 3*m - 453. Let l = -42 + n. What is the highest common divisor of l and x?
6
Let g(h) = h**2 + 3*h. Let w be g(3). Let q(d) = d**2 - 8*d + 9. Let o be q(8). Calculate the greatest common factor of w and o.
9
Let y = 124 - 82. Calculate the highest common divisor of y and 6.
6
Suppose 20 = 3*h - 7. Let k(u) = -u**3 - 8*u**2 - 9*u. Let p be k(-8). What is the greatest common divisor of p and h?
9
Let w = 515 - 230. Calculate the highest common factor of w and 114.
57
Let r = 29 + -1. Suppose -5*f + 667 = 247. Calculate the greatest common divisor of f and r.
28
Let c be (-28)/(-2)*(-75)/(-70)*4. Calculate the highest common factor of c and 540.
60
Let r = -37 - -25. Let l be (-333)/(-5) - r/(-20). What is the greatest common divisor of 6 and l?
6
Suppose 166 + 42 = 2*i - 2*m, 5*i - 500 = m. Calculate the greatest common factor of i and 9.
9
Suppose 2*s - 250 = -2*s + 2*j, -2*j - 10 = 0. Suppose -4*g = -31 - 17. What is the greatest common divisor of g and s?
12
Suppose -39 = 4*l + l - 3*u, 3*l + 15 = -u. Let h = l - -6. Let x be -96*(h - (-9)/(-12)). What is the highest common divisor of 9 and x?
9
Let o be (-84)/(-10)*(0 - 80/(-12)). What is the highest common divisor of 14 and o?
14
Let g(x) = -x**2 - 2*x + 5. Let q(t) = 2*t**2 + 4*t - 11. Let j(f) = 5*g(f) + 3*q(f). Let k be j(6). Calculate the highest common divisor of k and 16.
8
Let t(g) = g**3 + g**2 - g - 4. Let f be t(4). Calculate the greatest common divisor of 8 and f.
8
Let t be (2 - 2)/(0 - -2). Suppose -2*d = -4*o - 20, t = 3*d + 3*o - 6*o - 39. Suppose 10*l = 6*l + 8. Calculate the highest common factor of l and d.
2
Let v(u) = 5*u**3 - u**2 + 2*u + 1. Let i be v(3). Let p = -3 - -3. Let q(g) = g**2 + 19. Let d be q(p). Calculate the greatest common factor of d and i.
19
Suppose 3*k + 7 = -3*v + 19, -3*k + 14 = 4*v. Suppose j + k = 0, 0*y - 5*j = y + 4. Suppose -3*h - 6 = -y*h. What is the highest common divisor of 2 and h?
2
Let s(m) be the second derivative of -13*m**3/6 - 2*m**2 + 3*m. Let i be s(-3). What is the highest common factor of 5 and i?
5
Suppose -30 = b - 6*b. Suppose 145 = 5*s + 5*n, -3*s + 6*n - 4*n = -92. What is the greatest common factor of b and s?
6
Let m(i) be the second derivative of -4*i + 0*i**2 + 1/3*i**3 - 1/3*i**4 + 0 + 3/20*i**5. Let t be m(2). Calculate the highest common divisor of t and 12.
12
Let d be -3 + (30 + 4)/2. Calc | {
"pile_set_name": "DM Mathematics"
} |
d) 0.5 (e) 150 (f) -1/58 (g) -3
f
What is the fifth smallest value in 141.1, -0.5, 1, -1.05, -15?
141.1
Which is the fourth biggest value? (a) -46.6 (b) 0.14 (c) 2 (d) -1.84 (e) -4
e
What is the second biggest value in -2/11, 0.2, 9/10, -1334, -1/2, -0.03, 0.5?
0.5
Which is the seventh smallest value? (a) -0.045 (b) 0.5 (c) -14 (d) 0.2 (e) 2 (f) -3 (g) -5
e
What is the third smallest value in 3/10, 111346, 1, 9.5?
9.5
What is the fourth smallest value in 0.16, -2, 19052, -20?
19052
Which is the second biggest value? (a) -0.22 (b) -2/119 (c) -33 (d) -2/7
a
What is the fifth biggest value in 22, 19, 2, -2/23, -24/7?
-24/7
Which is the second smallest value? (a) -262/451 (b) 3/8 (c) -3/28
c
What is the second biggest value in -19/2955, -2/11, 0.047?
-19/2955
Which is the second biggest value? (a) -1111524 (b) 0.02 (c) 2/11
b
What is the fourth smallest value in -15, -0.1751, -6, 9, 3?
3
Which is the fourth smallest value? (a) 38 (b) 0 (c) -141268 (d) -2 (e) 2 (f) -0.5
b
Which is the biggest value? (a) 0.251 (b) -1 (c) 2/17 (d) 29 (e) 5/2
d
Which is the biggest value? (a) 0.03 (b) -2/33 (c) -2/61 (d) 5 (e) -0.1 (f) 1592
f
Which is the second smallest value? (a) -366 (b) 0 (c) 4 (d) -3/7 (e) 2 (f) -264 (g) 0.1
f
What is the fourth biggest value in 0.07, -1/6, -1/3, 1549/81, -4/5?
-1/3
Which is the second smallest value? (a) -36/13 (b) 8694/341 (c) 0.5
c
Which is the seventh biggest value? (a) 4 (b) -2 (c) -4 (d) 3/7 (e) -16 (f) 0 (g) -55
g
Which is the sixth biggest value? (a) 7/4 (b) 0.5 (c) -23 (d) 3 (e) -13.9 (f) -0.2
c
Which is the biggest value? (a) 78 (b) -67 (c) 18/103
a
What is the second biggest value in -15, -1, 0.02, -3/8, 208, 191?
191
What is the fourth biggest value in -2, -0.35597, -339, -0.5?
-339
Which is the biggest value? (a) -132803 (b) 3 (c) -60
b
Which is the fifth smallest value? (a) -24 (b) -30/47 (c) 17 (d) 4 (e) -20
c
What is the second biggest value in -0.12, 516, -0.15, 4/5, -0.033?
4/5
What is the second biggest value in 1273/55, 2, 2.4?
2.4
Which is the third smallest value? (a) -4811097 (b) -2/7 (c) 5
c
What is the third smallest value in 9, 67142, -52?
67142
Which is the smallest value? (a) -1/9 (b) 2 (c) 2/9 (d) -3 (e) 0.3 (f) -1/121
d
Which is the second biggest value? (a) 4 (b) 2 (c) 22/5 (d) -6980/11 (e) 26
c
What is the third smallest value in -5, 1.4623, 30, -1?
1.4623
What is the second biggest value in 2, 4/9, -2/9, -2/441573?
4/9
Which is the biggest value? (a) -2 (b) -5501 (c) 2/3 (d) 1628 (e) -1/2 (f) 4
d
Which is the seventh smallest value? (a) 1 (b) -0.237 (c) -0.5 (d) -9 (e) -2/21 (f) 2/3 (g) -0.1
a
What is the smallest value in 3, 1/4, -6321378?
-6321378
Which is the second biggest value? (a) -0.5 (b) -38/135 (c) 3 (d) -0.215 (e) -3
d
What is the biggest value in 101, -6581, 2/9?
101
What is the smallest value in 2/15, -1, -12, 1/9, 6595, -1/3?
-12
What is the biggest value in 2, -0.02597, 6/11, -3?
2
What is the third biggest value in -3/2, 90556.9, -2/15, -0.3, -4/5, 3/4?
-2/15
What is the fourth smallest value in -0.18, 0, 27, 6, -1/3, -0.4, 2?
0
Which is the biggest value? (a) 2549 (b) 9 (c) -1 (d) -5 (e) -536
a
Which is the biggest value? (a) 64 (b) 4 (c) -2 (d) 1/10 (e) -96 (f) -0.2
a
What is the fourth smallest value in -8, -0.3, -0.01, -12.84, 6/7?
-0.01
What is the third biggest value in 2/11, -2, -4/5, 37.5, -0.4, -8, 0.2?
2/11
What is the second smallest value in -2, -1326861, 21?
-2
Which is the third biggest value? (a) -5 (b) -190.6 (c) 3 (d) -23 (e) -4/3
a
Which is the second smallest value? (a) -1/8 (b) 5 (c) -39487 (d) -0.4
d
What is the smallest value in -2/17, -19, 25.3, -5, 2, -0.2, -2/3?
-19
What is the second biggest value in -0.01, -2292, -2/5, -17/6?
-2/5
Which is the fourth smallest value? (a) 2/11 (b) 0.037 (c) 14/5 (d) -65/48
c
What is the fifth biggest value in -3.3, -1, 9/20, -4/7, -1/6, 15?
-1
Which is the third biggest value? (a) 0 (b) 5.28 (c) -34.7
c
Which is the fourth smallest value? (a) 1/8 (b) 17026 (c) 29 (d) 8
b
What is the second smallest value in 0.24, -2/5, -24, 30/23, -0.28?
-2/5
What is the biggest value in 80763, -3/52, 2?
80763
What is the fourth biggest value in -3/7, -0.2, 0.0427, 6, 0.4?
-0.2
What is the biggest value in 2393, -0.1, 3/55, -3?
2393
What is the fifth smallest value in 1/5, 0.1873, -0.05, -4, 0.4?
0.4
What is the third biggest value in -6, -0.06, 4, 14, -4, 134?
4
Which is the second smallest value? (a) -7 (b) -687 (c) -2/195 (d) -263
d
What is the fourth smallest value in 5, 0, 849, 3, 47/2?
47/2
Which is the third smallest value? (a) -0.16 (b) -0.034 (c) -0.3 (d) -0.19
a
What is the third biggest value in -1442, 6/5, 2, 1.15?
1.15
What is the seventh smallest value in -0.083, 0.1, 2/51, -3/2, 21/2, 0.3, 2/7?
21/2
Which is the smallest value? (a) -184 (b) 200213 (c) -0.4
a
Which is the smallest value? (a) -2 (b) 16 (c) -1/21 (d) 11721
a
Which is the biggest value? (a) -0.006 (b) 3 (c) 5/1196
b
Which is the third biggest value? (a) -1.6 (b) -5 (c) 53 (d) 2.237
a
Which is the second smallest value? (a) 19/3 (b) 4 (c) 1 (d) 1/6 (e) -7.9 (f) 2/79 (g) -3
g
Which is the second smallest value? (a) -55 (b) -0.4 (c) 34 (d) -20 (e) -2/21 (f) 4/5 (g) -0.5
d
Which is the third smallest value? (a) -669343 (b) 7 (c) 1
b
Which is the smallest value? (a) 4 (b) -0.4 (c) -988/947
c
What is the biggest value in -5.0487, -1/4, 2/7, 1, -19/9?
1
Which is the smallest value? (a) 211305 (b) -12/13 (c) -15
c
Which is the fifth smallest value? (a) -0.1 (b) 807 (c) 1 (d) 5.059 (e) -2/5
b
What is the smallest value in -0.5248, -4, -24309?
-24309
What is the third smallest value in -8, 0.5, -0.2, 3/40, 323/2?
3/40
Which is the fifth smallest value? (a) 0.1 (b) -1.5 (c) 3/4 (d) 1 (e) -0.3 (f) -29 (g) -5
a
What is the third biggest value in -68, 1627301, 4?
-68
Which is the fifth smallest value? (a) -0.14 (b) -4 (c) 2.7 (d) -120 (e) 6
e
Which is the third biggest value? (a) 90 (b) -437512 (c) 4/11
b
What is the sixth smallest value in 1, -106, 1329, 2, -1, 6?
1329
Which is the smallest value? (a) 52 (b) 4 (c) 5 (d) 0.4 (e) -27 (f) 28
e
Which is the fifth smallest value? (a) 19 (b) -5 (c) 0.3 (d) 1/3 (e) 1693 (f) 3
a
What is the smallest value in 1.1, 1/7, -27, 0.5, -2/85, 1/8, -0.05?
-27
What is the smallest value in 89, -0.0435, -119, 0.1?
-119
Which is the fourth biggest value? (a) -0.8 (b) -1/3 (c) -1.9241 (d) -0.3
c
Which is the seventh biggest value? (a) -970 (b) -2 (c) 0.1 (d) -5/3 (e) 481 (f) 0.3 (g) -0.5
a
What is the third smallest value in 2/5, -1/4, -1, -5, 1815566?
-1/4
Which is the third biggest value? (a) -12/7 (b) 2148 (c) 2/9 (d) 1
c
What is the fourth smallest value in 4, 18, 0.09, -2/5, -2/27, 156, 5?
4
Which is the fifth biggest value? (a) 0.4 (b) -15/11 (c) 1/5 (d) -0.0335 (e) 3
b
What is the fourth smallest value in -1, 0.2, 6, -3, -0.38, 0.4, -0.1?
-0.1
What is the smallest value in -0.142, 15, -1/5, -1, -5, -244?
-244
Which is the second biggest value? (a) 3 (b) -521536 (c) -0.5
c
What is the second biggest value in -187, -2/7, 18548?
-2/7
What is the biggest value in 2/3, -1.859, 1417?
1417
Which is the biggest value? (a) 0.01 (b) -1/234 (c) 31/4 (d) -0.1178
c
What is the third smallest value in 0, -83, -24, 1/14, 5, 4?
0
Which is the third smallest value? (a) 0.3 (b) 0.2 (c) 11 (d) -16 (e) -49421
b
Which is the fourth biggest value? (a) 0.5 (b) 299 (c) -6/17 (d) 0.073
c
Which is the smallest value? (a) 0.5 (b) 0.201 (c) -1/4523 (d) -2/5
d
Which is the biggest value? (a) 4/3 (b) 1/7 (c) 101934/83
c
What is the third biggest value in 2, -1, 3/5, -10, 5, 8678?
2
Which is the fourth biggest value? (a) -3 (b) -22906 (c) 2/3 (d) 1 (e) 0.2
a
What is the biggest value in -19, 4, -7/83, 3, -13, 0.3?
4
What is the third biggest value in -6/23, -11, 23, 2/23, -7/6?
-6/23
What is the biggest value in 0.3, -8, 29, -42, -1/25, -3?
29
What is the biggest value in 1/7, -1, -346/4735?
1/7
Which is the fourth biggest value? (a) 6 (b) 3 (c) 0.5 (d) -205 (e) -479 (f) -4
f
What is the biggest valu | {
"pile_set_name": "DM Mathematics"
} |
) = 8*w + 21. Determine j*l(a) - 9*b(a).
-2*a - 3
Let p(a) = 445*a - 3. Let c(s) = -1344*s + 8. Calculate 4*c(n) + 11*p(n).
-481*n - 1
Let u(v) = 10*v**2 - 47*v - 1. Let q(k) = 10*k**2 - 46*k - 1. Calculate -3*q(d) + 2*u(d).
-10*d**2 + 44*d + 1
Let w(a) = a**3 + 3*a**2 + 2*a + 3. Let b(y) be the first derivative of y**4/4 + 5*y**3/3 + 2*y**2 + 5*y + 3. Let z be 1*-20*8/32. Calculate z*w(o) + 3*b(o).
-2*o**3 + 2*o
Suppose t - 4119 = 2*s - 4124, -4*s + 3*t + 7 = 0. Let c(u) = 6*u**2 - 18. Let g(b) = b**2. Determine s*g(w) - c(w).
-2*w**2 + 18
Let g(u) = 7*u**2 - 4*u + 4. Let s(d) = 27*d**2 - 15*d + 15. Suppose 53 = -10*q + 153. Suppose -2*y - q + 4 = 0. Let a = -18 - y. Calculate a*g(w) + 4*s(w).
3*w**2
Let a(t) = 157*t**2 + 4*t - 19. Let q(o) = 7*o**2 + o - 3. What is a(z) - 7*q(z)?
108*z**2 - 3*z + 2
Let t(g) = -874*g**2 + 13*g - 15. Let a(p) = 873*p**2 - 10*p + 12. Give 5*a(k) + 4*t(k).
869*k**2 + 2*k
Let z(t) = t**3 + 2*t**2 - 2*t - 2. Suppose -5*p + 11 = -3*u + 66, -3*u - 5*p = -65. Let g(d) = -15 + 3*d**2 - 3*d - 8 + u. Calculate -4*g(c) + 6*z(c).
6*c**3
Let s(o) = 17*o**3 + 11*o**2 - 56*o + 15. Let j(c) = 7*c**3 + 5*c**2 - 27*c + 7. What is 7*j(n) - 3*s(n)?
-2*n**3 + 2*n**2 - 21*n + 4
Let s(k) = 2*k - 6. Let m(x) = 12 + 280*x - 154*x - 130*x. Give 4*m(n) + 7*s(n).
-2*n + 6
Let k(c) = -999*c**2 + 81*c + 81. Let l be 12*(-16)/384*4/(-1). Let x(p) = -25*p**2 + 2*p + 2. What is l*k(j) - 81*x(j)?
27*j**2
Let g(h) be the second derivative of 7*h**5/20 + h**4/2 - 7*h**3/6 + 3*h**2/2 + 1831*h. Let l(c) = 6*c**3 + 5*c**2 - 6*c + 3. What is 5*g(a) - 6*l(a)?
-a**3 + a - 3
Suppose -1203*l - 266 - 124 = -1138*l. Let v(x) = x**2 - x + 1. Let q(d) = -44*d**3 + 6*d**2 - 6*d + 6. Determine l*v(o) + q(o).
-44*o**3
Let o(q) = q**2 + 4*q. Suppose 0 = -2*t + 8 + 2. Suppose -a + 1 = -t. Let y(h) = -h. Suppose -1746 = 78*k - 1902. Determine a*y(c) + k*o(c).
2*c**2 + 2*c
Let j(l) = -41*l**2. Let g(q) = -286*q**2. Let m = 12370 + -12367. Determine m*g(z) - 22*j(z).
44*z**2
Let x(h) = 4*h**2 + 8*h - 221. Let t(d) = 2*d**2 + 4*d - 120. What is -5*t(y) + 3*x(y)?
2*y**2 + 4*y - 63
Suppose 0*u = 2*u + 4*c + 2, -3*u + 8 = -5*c. Suppose -20 = 3*p + u. Let k(a) = 3*a**3 - 11*a + 7. Let q(l) = l**3 - 6*l + 4. Determine p*q(n) + 4*k(n).
5*n**3 - 2*n
Suppose s = -0 + 4. Suppose -s*j - 5*h = -37, -4*h - 1 - 3 = -j. Let d(o) = 4 - 4 + 9*o - 4*o - j. Let f(v) = -9*v + 15. Calculate -11*d(y) - 6*f(y).
-y - 2
Let b(i) = -205*i**3 + 8*i**2 - 5*i + 164. Let m(y) = 135*y**3 - 5*y**2 + 3*y - 109. What is -5*b(u) - 8*m(u)?
-55*u**3 + u + 52
Let v(y) = -28*y**2 - 4*y. Let b(s) = -15*s - 16. Let p(g) = -11*g - 12. Let w(i) = -3*b(i) + 4*p(i). What is v(x) + 2*w(x)?
-28*x**2 - 2*x
Let i be (-155 - -167) + -14 + 1. Let f(x) = x**2. Let g(v) = 7*v**2 + 2*v. Determine i*g(c) + 2*f(c).
-5*c**2 - 2*c
Let o = 56 + -26. Suppose 4*x = -18 + o. Let k(f) = x*f - 3*f**2 + 0*f**2 - 1 - f**2. Let n(g) = -9*g**2 + 7*g - 3. Determine 5*k(i) - 2*n(i).
-2*i**2 + i + 1
Let z(f) = -2*f**2 + 4*f + 4. Let s(q) = 2941310 - 2941310 - q. Determine -5*s(v) - z(v).
2*v**2 + v - 4
Let c(o) = -27*o**2 + 23*o + 4. Let q(l) = -50*l**2 + 37*l + 7. Determine 5*c(s) - 3*q(s).
15*s**2 + 4*s - 1
Suppose o = 2 + 2. Let l(r) = -12*r**3. Let a(b) = -b**3. Let j be 40 - (43 - 19 - -17). Calculate j*l(p) + o*a(p).
8*p**3
Let i(t) = 6*t**3 + 8*t**2 + 6*t. Let u(n) = 5*n**3 + 6*n**2 + 5*n + 1. What is 3*i(p) - 4*u(p)?
-2*p**3 - 2*p - 4
Let y(m) = -m**3 - m**2 + 3*m - 2. Let f(p) = 799*p**3 + 17*p**2 - 51*p + 34. Give -f(o) - 17*y(o).
-782*o**3
Let x(o) = o**2 - 8*o + 7. Let r = 0 + -1. Let j(g) = 6928522 - 3464259 - 3464262 - g. Calculate r*x(k) + 6*j(k).
-k**2 + 2*k - 1
Let q(p) be the first derivative of -3*p**2/2 + 4*p + 3635. Let a(c) = 2*c - 3. Give -5*a(n) - 4*q(n).
2*n - 1
Let m(i) = 132*i**3 + 7*i**2 + 56. Let s(k) = 43*k**3 + 3*k**2 + 20. Determine -3*m(h) + 8*s(h).
-52*h**3 + 3*h**2 - 8
Let q(z) = -z - 233. Let x(n) = 58. Let h(l) = 3*q(l) + 12*x(l). Let i(f) = -3*f - 4. Determine 3*h(t) - 4*i(t).
3*t + 7
Let n(z) = 14*z**2 - 8*z + 22. Let s(l) = 27 - 7 - 6 - 15 - 6 - 5*l**2 + 3*l. Give 3*n(w) + 8*s(w).
2*w**2 + 10
Let v(d) = 607*d + 18. Let r(x) = 610*x + 14. Determine 4*r(t) - 3*v(t).
619*t + 2
Let q(k) be the second derivative of k**4/4 - 5*k**3/6 + 3*k**2/2 + 46*k. Let d(c) = 1 + 180*c**2 + 2*c - 2 - 181*c**2. Calculate -10*d(p) - 4*q(p).
-2*p**2 - 2
Let u(k) = 176*k + 3*k**2 - 6*k**2 - 91*k - 1 - 87*k. Let w(o) = -2*o**2 - o. Give 6*u(q) - 10*w(q).
2*q**2 - 2*q - 6
Let d(t) = -6*t - 65162*t**3 + 65163*t**3 + 2*t - 3*t - 7. Let x(c) = 36*c**3 - c**2 - c + 1. Let i be x(1). Let r(q) = -q - 1. What is i*r(k) - 5*d(k)?
-5*k**3
Let x(g) = -4*g**2 - 2*g + 833. Let w(m) = -m**3 - 3*m**2 - m + 5. Determine -2*w(c) + x(c).
2*c**3 + 2*c**2 + 823
Let b(h) = -23*h**2 - 5*h - 5. Suppose -3864 = -49*s + 70*s. Let l(k) = -851*k**2 - 184*k - 184. What is s*b(x) + 5*l(x)?
-23*x**2
Let n(p) = -1546*p + 22. Let x(u) = -2060*u + 30. Determine -15*n(b) + 11*x(b).
530*b
Let a(y) = -2*y**3 - 3*y**2 - 4*y. Suppose 7 = -2*g - 15. Let r(n) be the first derivative of n**4/4 + 2*n**3/3 + n**2 + 23853. Calculate g*r(v) - 6*a(v).
v**3 - 4*v**2 + 2*v
Let u(q) = -4*q**2 + 632*q - 13. Let j(i) = -10*i**2 + 1265*i - 30. Give -3*j(x) + 7*u(x).
2*x**2 + 629*x - 1
Let a(i) = i - 1. Suppose 3*t - 2*l + 12 = -5*l, 6 = -2*l. Let y(q) = 14*q - 6. Suppose 0 = -2*j + 12, 4*f - 19*j + 24*j = 54. What is f*a(x) + t*y(x)?
-8*x
Let g(j) = -4*j + 3628. Let z(m) = 2*m - 1814. What is -2*g(k) - 5*z(k)?
-2*k + 1814
Let n = 58 - 55. Let v(k) = -k**2 - 5*k - 3. Let z(u) = -8*u - 4. Let q(w) = w**2 - 7*w - 3. Let c(y) = 3*q(y) - 4*z(y). Give n*c(a) + 7*v(a).
2*a**2 - 2*a
Let u(w) = -2*w - 15. Let k(f) = 2*f + 13. Suppose 0 = -q - 5*o + 12, 0*o = 2*q - 2*o. Let v(s) = q*u(s) + 3*k(s). Let i(r) = -r - 4. Give -7*i(h) - 3*v(h).
h + 1
Let g(k) = 2*k**3 + 3*k**2 + 6*k + 3. Let f(m) = -2*m**3 - 2*m**2 - 5*m - 2. Let t = -153 - -243. Let b be t/(-63) + 12/(-21). Determine b*g(i) - 3*f(i).
2*i**3 + 3*i
Let j = -2872 + 2882. Let w(g) = g**3 + 2*g**2 + 6*g - 2. Let i(k) = -2*k**3 - 5*k**2 - 13*k + 5. What is j*w(b) + 4*i(b)?
2*b**3 + 8*b
Let j(f) = 551*f**3 - 29*f**2. Let o(r) = 92*r**3 - 5*r**2. Let x(u) = u**2 - 75*u + 1371. Let s be x(43). Give s*j(g) + 29*o(g).
-87*g**3
Let m(n) be the second derivative of -n**3/3 + 2*n**2 + 4*n. Let y(r) = -1. Suppose 68*d + 69 = 273. Calculate d*y(s) + m(s).
-2*s + 1
Let d(m) = 2*m + 2. Let f(j) = 8*j**2 + 24*j + 5. Determine 4*d(w) - f(w).
-8*w**2 - 16*w + 3
Let d(l) = 21*l**3 - 5*l**2 - 5. Let r(b) be the second derivative of b**5/2 - b**4/4 - 3*b**2/2 + 1536*b. What is -3*d(z) + 5*r(z)?
-13*z**3
Let v(k) = -3*k**2 - 3*k + 4. Let f(w) = 4*w**2 + 4*w - 6. Let h(n) = -2*f(n) - 3*v(n). Let x(p) = 145*p**2 + 174*p. What is 174*h(r) - x(r)?
29*r**2
Let i(c) = -6*c**2 - c - 1. Let k(n) = -4*n**2 + n - 2. What is -i(t) + 2*k(t)?
-2*t**2 + 3*t - 3
Let v(a) = 4*a**2 + 22*a + 6. Let u(j) = j**2 + 17*j + 5. What is -5*u(s) + 4*v(s)?
11*s**2 + 3*s - 1
Let y(l) = 7*l - 5. Suppose 5*o - 2*o = -16*o. Suppose o = 6*t - 30*t - 240. Let w(n) = -4*n + 3. What is t*w(u) - 6*y(u)?
-2*u
Let j(v) = -v**2 - 49*v - 29. Let o(b) = b**2 + b + 7. Determine -j(m) - 4*o(m).
-3*m**2 + 45*m + 1
Suppose 631 - 1615 = 12*c. Let h = c + 76. Let b(n) = 3*n**2. Let t(o) = 6*o**2. Give h*t(f) + 11*b(f).
-3*f**2
Let f(i) = -5*i - 9. Let y(o) = -6*o + 7. Let m(g) = 10 - 1 - 2 - 9. Let p(t) = -36*m(t) - 4*y(t). Determine 14*f(l) + 3*p(l).
2*l + 6
Let a(y) = -5*y. Suppose -5*w + 5*m = -9*w - 39, 3*w + 15 = m. Let q(i) = 4*i - 1. Calculate w*q(k) - 4*a(k).
-4*k + 6
Let n(u) = -9*u**2 - u + 3. Let r(y) = y**2 - 1. Suppose 279*f - 503 = -39 + 652. Calculate f*r(m) + n(m).
-5*m**2 - m - 1
Let s(n) = 2*n**2 - n. Let k be s(2). Let q(b) = 17*b + 13*b + 6 - 57*b + 21*b - 1 + 7*b. Let o(v) = -4. Determine k*o(g) + 5*q(g).
5*g + 1
Let r = 6 + -12. Let g(u) = 2*u**2 - 3. Let z = 216 - 214. Let x(a) = 4*a**2 + 0*a**2 - 1 - 3*a**2 + 0*a**2. What is r*x(b) + z*g(b)?
-2*b**2
Let g(u) = -4 + 277*u - 162*u - 6 + 15. Let c(v) = -23*v - 1. Calculate 11*c(l) + 2*g(l).
-23*l - 1
Let i(v) = v - 3 - 4*v - 4*v**2 - v**2. Let y(t) = -t**2 - t - 1. Let d = -288 + 288. Suppose -5*l + 5*f - 4*f + 2 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 8*z - 5 = 3*z. Let a(w) be the first derivative of z + 0*w**2 + 1/6*w**6 - 1/3*w**3 + 0*w**4 + 0*w**5 + 0*w. Find the third derivative of a(l) wrt l.
60*l**2
Let q(n) be the third derivative of n**7/21 + n**4/4 + 9*n**2. What is the second derivative of q(a) wrt a?
120*a**2
Let p = 8 - 1. Differentiate 2 - p*q**2 + 2 - 5 - 6 with respect to q.
-14*q
Let b(l) = -l + 3. Let f be b(3). What is the third derivative of f - 2*u**4 + 0 - 3*u**2 + u**4 wrt u?
-24*u
Let m(b) = b**3 - b**2 + b. Let o(r) = 10*r**3 - 5*r**2 + 14*r. Let p(l) = -5*m(l) + o(l). What is the second derivative of p(s) wrt s?
30*s
Let q be (-1)/1 + -2 + 5. What is the derivative of -2*v - q*v + v + 1 wrt v?
-3
What is the derivative of f - f + 625 + 8*f**2 - 621 wrt f?
16*f
What is the derivative of 82*t - 82*t + 20 - 19*t**2 wrt t?
-38*t
Find the third derivative of 15*o**5 - 6*o + 6*o - 4*o**2 wrt o.
900*o**2
Let t be 8/(-4*(-2)/4). Suppose 4*w = 5*l + t + 4, 5*l + 3*w = 6. What is the second derivative of l*h**3 + 3*h**4 + 0*h**3 + 3*h wrt h?
36*h**2
Let a(y) be the second derivative of -1/10*y**6 + 0 + 0*y**3 + y + 0*y**4 - 7/2*y**2 + 0*y**5. What is the first derivative of a(t) wrt t?
-12*t**3
Let n(a) = 2*a**4 - 2*a**3 - 5*a. Let o = 10 + -11. Let u(p) = p**3. Let r(w) = o*n(w) - 2*u(w). Find the second derivative of r(l) wrt l.
-24*l**2
Let j be -2*(-1 + 2) + -3. Let g(z) = -z + 9. Let d(w) = -4. Let b = 3 - 5. Let l(u) = b*g(u) + j*d(u). Differentiate l(p) with respect to p.
2
Let w(n) be the first derivative of 4*n**5/5 - 3*n - 2. Differentiate w(g) with respect to g.
16*g**3
Let c(p) be the third derivative of p**9/60480 - p**7/2520 + p**5/30 + p**2. Let n(i) be the third derivative of c(i). Find the second derivative of n(w) wrt w.
6*w
Let i(n) = 4*n**4 - 6*n**3 + 6*n**2 - n. Let v(h) = -12*h**4 + 17*h**3 - 17*h**2 + 3*h. Let o(w) = -17*i(w) - 6*v(w). Find the second derivative of o(l) wrt l.
48*l**2
Differentiate n**4 + 7*n**4 - 4*n + 4*n - 8 with respect to n.
32*n**3
Let r(i) be the first derivative of -11*i**5/5 + 3*i + 9. Differentiate r(o) with respect to o.
-44*o**3
Let t(k) be the third derivative of k**6/30 - 13*k**4/24 - 35*k**3/3 + k**2 + 26. Differentiate t(i) wrt i.
12*i**2 - 13
Let p(f) = -26*f**5 - 3*f**4 - 6*f - 3. Let b(y) = 52*y**5 + 5*y**4 + 13*y + 5. Let t(c) = -3*b(c) - 5*p(c). What is the second derivative of t(n) wrt n?
-520*n**3
Let t(y) = -62*y**3 + 20. Let j(r) = -21*r**3 + 7. Let g(q) = 17*j(q) - 6*t(q). Differentiate g(i) with respect to i.
45*i**2
Let m(b) be the third derivative of b**7/10 + 11*b**4/12 - 14*b**2. Find the second derivative of m(h) wrt h.
252*h**2
Find the second derivative of 9*n**5 + 6*n**5 + 311*n - 317*n wrt n.
300*n**3
Let u(o) be the second derivative of -1/3*o**3 - 2*o + 0 + 0*o**2 + 1/4*o**4. What is the second derivative of u(f) wrt f?
6
Let i be 2/(0/(-3) + -2). Let n = 2 - i. Find the first derivative of -1 + 2 - q**4 + 4 - n wrt q.
-4*q**3
Let n(p) = -p**3 + p**2. Let t(y) = 32*y**3 + 4*y**2 - 16. Let l(c) = -4*n(c) + t(c). Differentiate l(f) wrt f.
108*f**2
Let s = -5 + 7. Suppose -s*i - 2*j + 12 = -4*j, -4*i + 5*j + 26 = 0. What is the second derivative of -6*y - i*y**4 + 3*y**4 + 7*y wrt y?
-12*y**2
Let v(t) be the first derivative of -2*t**7/21 - t**3/3 - 2*t - 2. Let i(k) be the first derivative of v(k). Find the second derivative of i(b) wrt b.
-80*b**3
Let u(n) be the third derivative of 4*n**7/35 + 29*n**3/6 + 17*n**2. Find the first derivative of u(a) wrt a.
96*a**3
Let r(a) be the first derivative of 0*a**2 + 1/5*a**5 + 0*a**4 + a + 0*a**3 - 1. Differentiate r(o) with respect to o.
4*o**3
Find the first derivative of 35*o**2 + 42 + 26*o**4 - 10 - 35*o**2 wrt o.
104*o**3
Let x(i) be the third derivative of i**7/15 + 13*i**3/6 + 4*i**2. Find the first derivative of x(l) wrt l.
56*l**3
Let s(q) = 1 - 2*q - 6*q**3 - 2*q + 7*q. Let r(h) = h**3 - 1. Let t(o) = r(o) + s(o). What is the second derivative of t(a) wrt a?
-30*a
Let a(b) be the first derivative of -2 + 0*b**2 - 4/3*b**3 + 4*b. Differentiate a(m) wrt m.
-8*m
Let w be (0 - (1 + -1))*-1. Let s(a) = -2*a + a + w*a. Let g(d) = -2*d - 2. Let n(q) = g(q) - 4*s(q). Differentiate n(p) wrt p.
2
Suppose 0 = 3*m + m - 16. Find the second derivative of 5*q**4 - 3*q**4 - m*q + 3*q wrt q.
24*q**2
Let h(c) = c + 15. Let b(m) = -m - 15. Let j(p) = -7*b(p) - 6*h(p). Differentiate j(f) with respect to f.
1
Let i(z) = 12*z - 11. Let p(w) = -11*w + 10. Suppose -5*h - 35 = -10*h. Let l(o) = h*p(o) + 6*i(o). Differentiate l(y) with respect to y.
-5
Let a(m) = -m**5 + 17*m. Let k(t) = 4*t**5 + 3*t - 5*t**5 + 6*t. Let z(p) = -3*a(p) + 5*k(p). Find the second derivative of z(g) wrt g.
-40*g**3
Let t(p) be the second derivative of 4*p**6/15 - 5*p**2/2 - 19*p. Differentiate t(f) with respect to f.
32*f**3
Let i(z) = -288*z + 273. Let n(k) = 18*k - 17. Let p(w) = 2*i(w) + 33*n(w). Find the first derivative of p(y) wrt y.
18
Let s(c) = -14*c + 9. Let r(w) = w**2 + w - 1. Let x be r(-3). Let h(u) = 9*u - 6. Let v(m) = x*s(m) + 8*h(m). What is the derivative of v(g) wrt g?
2
Let f(h) = -29*h**5 - 2*h**4 - 3*h - 2. Let u(p) = -145*p**5 - 11*p**4 - 16*p - 11. Let i(r) = -11*f(r) + 2*u(r). What is the second derivative of i(s) wrt s?
580*s**3
Let q(w) = -w + 2. Let d be q(-2). What is the third derivative of i**3 + i**6 + d*i**2 - 5*i**2 - i**3 wrt i?
120*i**3
Find the first derivative of 12 - 10 - 6*h**3 + 0*h + 0*h wrt h.
-18*h**2
Let b(g) be the third derivative of g**5/60 + 13*g**4/6 - 4*g**3 - g**2 - 1. Find the first derivative of b(f) wrt f.
2*f + 52
Let n(x) be the first derivative of 0*x + 4/5*x**5 - 1 + 0*x**2 + 1/3*x**3 + 0*x**4. Find the third derivative of n(m) wrt m.
96*m
Let y be (2 + 8/(-12))*3. Find the second derivative of 5*m**4 + m**4 - 3*m**4 + m**y - 4*m wrt m.
48*m**2
Let o(c) be the third derivative of -5/6*c**3 + 4*c**2 - 1/12*c**4 + 0 + 0*c. What is the first derivative of o(d) wrt d?
-2
Let i(w) = -3*w + 24. Let q(b) = -6*b + 47. Let v(g) = 5*i(g) - 2*q(g). What is the first derivative of v(c) wrt c?
-3
Let a(o) = -2*o**5 - 4*o**4 - o**2 - 4*o. Let r(h) = -2*h**5 - 3*h**4 - 3*h. Let q(f) = -3*a(f) + 4*r(f). What is the third derivative of q(w) wrt w?
-120*w**2
Let x(g) = 2*g**3 - 4*g. Let p(c) = -3*c**3 + 3*c + 1. Let w(k) = -4*p(k) - 3*x(k). Differentiate w(s) with respect to s.
18*s**2
Let c be (-4)/(-12)*(2 - 2). Suppose -3*a - 2*a + 10 = c. What is the first derivative of -a - 3*t + 3*t - 6*t**3 + 3*t**3 wrt t?
-9*t**2
Let c(w) = -9*w + 10. Suppose 3*q + q = -2*t - 24, -24 = 4*q + t. Let r(o) = -o + 1. Let v(u) = q*r(u) + c(u). What is the first derivative of v(p) wrt p?
-3
Let h(d) be the second derivative of 0*d**3 + 0 - 1/4*d**5 - 9*d + 0*d**4 + 5/2*d**2. Differentiate h(g) with respect to g.
-15*g**2
Let s(h) be the first derivative of 2*h**5/5 - 2*h**2 + 4. What is the second derivative of s(o) wrt o?
24*o**2
Let o(a) = -a**3 - a**2 + a + 3. Let n be o(0). Find the third derivative of 0*x**3 + 0*x**3 + x**2 + n*x**3 wrt x.
18
Let z = 4 - 2. Find the second derivative of -j**2 + z*j**2 - j**4 - j**2 - j wrt j.
-12*j**2
What is the derivative of -12 - 8 - 22*b**4 - 8*b**4 + 55*b**4 wrt b?
100*b**3
Let x be ((-10)/(-25))/(3/15). What is the third derivative of -2*w**4 + 22*w**2 - 33*w**2 + 20*w**x wrt w?
-48*w
Let f(w) = 4*w**4 + 5*w**2 - 27. Let y(c) = -6*c**4 - 8*c**2 + 40. Let q(x) = -8*f(x) - 5*y(x). What is the derivative of q(z) wrt z?
-8*z**3
Let c(m) = -m + 1. Let z be c(-4). Find the first derivative of -g**2 + 3 + z*g**2 + 2*g**4 - 4*g**2 wrt g.
8*g**3
Let g(v) be the second derivative of 3*v**5/20 - v**3 - 5*v. Find the second derivative of g(n) wrt n.
18*n
Let k(q) be the second derivative of -4*q**6/15 + 7*q**4/12 - q. Find the third derivative of k(f) wrt f.
-192*f
Let b(w) = w**4 + w**3 + w + 1. Let h(u) = -9*u**4 - 11*u**3 - 11*u. Let m(y) = -22*b(y) - 2*h(y). What is the derivative of m(z) wrt z?
-16*z**3
Let x be 6/(-14) + 31/7. Let z = x - 3. Find the first derivative of -c**2 + 3*c**3 - z + c**2 + 0*c**2 wrt c.
9*c**2
Let d(u) be the second derivative of -1/30*u**6 + 2*u + 0*u**5 + 0 + 1/6*u**3 + 0*u**2 + 0*u**4. Find the second derivative of d(i) wrt i.
-12*i**2
Let a(l) be the second derivative of -1/30*l**6 + 2* | {
"pile_set_name": "DM Mathematics"
} |
(-6)/75*(2 + -7 - o). Let d = 41/5 - 8. What is the third smallest value in d, i, -2?
i
Let n be 16/((-544)/51)*(-1 - -3). What is the third smallest value in n, 8, 5, 0.2?
5
Let n = 1.1 + -0.5. Let w = -248 + 248.8. Let k = n - w. Which is the third biggest value? (a) 2/5 (b) k (c) 1/8
b
Let y = -139/65 + 33/13. Which is the smallest value? (a) 0 (b) y (c) -2/13 (d) -0.5
d
Let s = 0.02 - -0.78. Let o = 167 - 165. What is the second smallest value in 1, o, s?
1
Let j = 26/33 - 437/550. Which is the smallest value? (a) j (b) -1/11 (c) 2/13
b
Let i = -2894 - -2871. What is the third smallest value in -0.06, i, 4?
4
Let r be ((-1)/2)/(14/8). Which is the biggest value? (a) -0.2 (b) -16 (c) r
a
Let r = -0.099 + 42.099. Let a = r + -41. What is the second smallest value in 2/5, -1.3, a?
2/5
Let t be -21*(5 + (-16)/3). Suppose 0 = 4*u + r + 221, -u + r = -0*r + 59. Let h = u + 282/5. Which is the third smallest value? (a) t (b) 4 (c) h
a
Let n = 18647 + -1025408/55. Let x be 54/(-10) - 2*(-8 + 7). Let t = x + n. Which is the second biggest value? (a) 1 (b) 0.1 (c) t
b
Let i(z) = -2*z**2 - 112*z + 237. Let m be i(-58). Which is the second biggest value? (a) m (b) -3/2 (c) 30
a
Let l = -119/60 - -26/15. Which is the second smallest value? (a) 18 (b) l (c) 0.03
c
Let z = 1.0644 - 0.0644. Let f = -55 + 381/7. Which is the smallest value? (a) z (b) 2/11 (c) f
c
Let w = -3159 + 3154. Which is the third smallest value? (a) -19 (b) -3 (c) w (d) -1
b
Let m = 104.8 - 105. Let k = 3 - 3.4. What is the second biggest value in m, -4, k?
k
Let o = 4.8 - 5. Let s = 2.2 + o. Let w = -3525/13 - -271. Which is the second biggest value? (a) w (b) s (c) 3
b
Let c be (8/6)/(2 - (-16)/(-6)). Let q be ((-17)/2)/(5/10). Let y = q + 19. What is the second smallest value in 4/5, c, y?
4/5
Let j(s) = -s**2 + 29*s - 26. Let b be j(28). Let t = 2 - 0. Let d = t + -2.05. What is the second smallest value in b, -0.2, d?
d
Let v be -9 + (-7)/((-35)/45). Let t = -6.5 + 6. Which is the third biggest value? (a) 0.4 (b) v (c) t
c
Let t = 2.22 - 2.72. What is the biggest value in 11/2, -3/7, 4, t?
11/2
Let p(u) = -4*u + 148. Let j be p(36). Let i be ((-6)/9)/((-28)/18). What is the biggest value in j, i, -3?
j
Let v = -55.3 + 6.3. Let h = -48.9 - v. What is the second smallest value in 3/2, h, -2/9?
h
Let o = 65/153 - 11/17. What is the fourth biggest value in o, -0.5, 0.09, 0.2?
-0.5
Let a = 0.9 + 0.1. Let b = -98 + 60. Let m be b/(-56) - (-6)/(-14). What is the second biggest value in m, a, 1/3?
1/3
Let d = -3.3 + 3. Let t be ((-45)/(-20) - 2)*-1*-4. What is the third smallest value in t, d, -0.2?
t
Let a = -4.4 + 4. Suppose -5 = -y - 4, q - 36 = 3*y. Let w = -34 + q. What is the biggest value in a, w, 1?
w
Let g(t) = -t**3 + 6*t**2 + 9*t - 8. Let w be g(7). Let s be (38/119 - 2)/w. Let u = s + -2/357. What is the third smallest value in -0.1, u, -1?
-0.1
Let h be 18/(-198) + 89/11 + -2. What is the third smallest value in 5, 1, -0.3, h?
5
Suppose -5*p + 59 = -2*i, 0 = -3*i - 2*p + 3 - 63. What is the smallest value in 0.3, -4, i?
i
Let f = -380 - -382.9. Which is the third biggest value? (a) 4 (b) 2/7 (c) f
b
Let v be (-14)/(-2)*(-8)/((-64)/440). Let o = -6163/16 + v. Which is the third biggest value? (a) -1 (b) 3 (c) 4 (d) o
d
Let d = 1/75 + 43/525. Let q = 1.8 + 0.2. What is the second smallest value in -1, q, d?
d
Let m = -0.426 + 0.316. What is the biggest value in 15, -1/9, m?
15
Let h = -8 + 7.6. What is the biggest value in -0.3, h, -11/2?
-0.3
Let f = 1 - 4. Let j be -1*2/f*3. Let u = -13160 + 13156. Which is the second biggest value? (a) 0.5 (b) j (c) u
a
Suppose 3*f - 41 + 116 = 0. Let v = f - -74/3. What is the third smallest value in v, -0.5, 2?
2
Let w(p) = p**2 + 12*p + 6. Let r be w(-11). Let n = -7 - r. Let q = 0.053 + -0.153. Which is the third biggest value? (a) n (b) q (c) -3/5
a
Let l = -58.5 - -59. What is the biggest value in -0.5, 12, l?
12
Suppose -3*v - 3*v = -6. Let i be (33/(-55))/(v/(-5)). Which is the second biggest value? (a) -4 (b) 1 (c) i
b
Let x = 0.05 + -5.05. Let o = -18.9 - -20. Let v = o + -1.1. Which is the third biggest value? (a) -1/6 (b) x (c) v
b
Let h = -158 - -153. Which is the third smallest value? (a) 2/5 (b) -0.5 (c) h
a
Let t = 1.57 - 0.17. Suppose -26*i + i = -125. Suppose -i*r - m + 4 = -6, 0 = 5*m. Which is the third biggest value? (a) 1 (b) t (c) r
a
Let a = 284 + -286. What is the smallest value in 0, 1.2, a?
a
Let q = -1.15 + -4.15. Let k = q + 5.3. Which is the smallest value? (a) 2 (b) 4 (c) k
c
Let y = 102 - 97.4. Let t = -4.55 + y. Let j = 5 + -2. Which is the biggest value? (a) j (b) -4 (c) t
a
Let g = -0.1 - -0.05. Let f be (-4)/(144/(-198)) - 1/2. What is the second biggest value in 1, f, g, -1/3?
1
Let y = -0.039 - 0.061. What is the third biggest value in y, -3/17, -2/9?
-2/9
Let l(k) = -k**3 + 5*k**2 + 3. Suppose 6*n - 30 = -0*n. Let o be l(n). Which is the smallest value? (a) o (b) 2 (c) 1
c
Let g = 0.04 + -0.34. Suppose -2 = -f - 3. Let j be -2 + f/(5/(-15)). What is the second smallest value in g, j, -1/3?
g
Let x = 4715 - 4711. Let i = -5 + 5.14. Which is the second smallest value? (a) i (b) x (c) -5
a
Suppose 19*h + 204 = 53*h. Which is the fourth smallest value? (a) h (b) 0.4 (c) 3 (d) -3/2
a
Suppose 2*g + 38 = -x - 32, -5*x = -3*g - 118. Let j = 39 + g. What is the third smallest value in -2/11, -0.1, j?
j
Let l be -3*7/126*2. What is the second biggest value in 0.2, l, 2/15?
2/15
Let v = 25.01 - 25. Let u = -22.99 - v. Let j = 21 + u. Which is the second biggest value? (a) -4/7 (b) 2 (c) j
a
Let y = 2.6 - 13.6. Let k = 11.3 + y. Which is the second biggest value? (a) k (b) -4/7 (c) 2
a
Let u = 0.02 + -16.02. Let y = -20 - u. Let p be 4 + -3 - (-4)/(-10). Which is the biggest value? (a) p (b) y (c) 0
a
Let k = -2.1 + 2. Let h = 14.66 + -13.4. Let g = 5.26 - h. Which is the third biggest value? (a) k (b) g (c) 5
a
Let k = -291 + 289. Which is the fourth biggest value? (a) -1 (b) k (c) -0.2 (d) 6
b
Let m = 115 - 115.069. Let h = -0.269 - m. What is the smallest value in -0.28, -4, h?
-4
Let z be (-2)/(6/9)*(-1)/7. What is the third smallest value in -4, z, -9?
z
Let d = 2679/10 + -1337/5. Let q = -1 + -3. Let j be (6/(-4))/((-14)/q). Which is the biggest value? (a) d (b) -1/3 (c) j
a
Let y = 1.02 - 1.22. What is the smallest value in y, 3, 1, 1/2?
y
Let o = 35/207 + -9/23. What is the second biggest value in o, -1, 12?
o
Let h = 24 - 44. Let m be (-2 + (-12)/(-18))/(-6 - -12). What is the biggest value in h, m, 5?
5
Let q = 31 - 26.7. Let p = -0.3 + q. Let v = -4.4 + p. Which is the second biggest value? (a) -1/5 (b) -1/2 (c) v
c
Let s = -5.8 + 1.8. Let r = -3.5 + 3. Which is the smallest value? (a) r (b) 1/3 (c) s
c
Suppose 77*p = 69*p + 40. Which is the smallest value? (a) p (b) 0 (c) -48
c
Let b = -53 - -23. Let n be b/(-18) - (-2)/6. Let j be -14*n/(-16) - 2. What is the biggest value in j, -5, 0.03?
0.03
Let v = 18 + -28.1. Let c = 10 + v. Let f = -1.92 - 0.08. What is the third smallest value in c, f, 0?
0
Let n be 90/3888*12 + (-1)/2. What is the fourth smallest value in -2.2, -5, n, -0.1?
-0.1
Let c = -1298 - -2599/2. What is the second biggest value in 79, -2/21, c, 2?
2
Suppose 0*x + 15 = 5*x - 5*p, 0 = 5*x + p - 45. Suppose -s + x = 1. Let n = s + -9. Which is the smallest value? (a) -1 (b) -0.4 (c) n
c
Let p = -6841/22 + 311. Let m = -15/88 + p. Let s be (-1)/(-2) - (-11)/(-2). Which is the second smallest value? (a) 1 (b) m (c) s
b
Let w = 95 + -4. Let s = 91.57 - w. Let o = s + -0.37. What is the smallest value in 0.3, 4, o?
o
Let v = -150 - -102. Let m = v - -45. Suppose 4*r - 4*n = 12, 5*r + n - 15 = -0. Which is the third smallest value? (a) r (b) m (c) 2/11
a
Let f = -18.9 + 20.9. Let h = -4.05 - -0.05. What is the second smallest value in 1, h, f?
1
Let z = 20.1 - 20. Let h(t) = -t**2 - 16*t - 3. Let o be h(-7). Let f be (o/(-45))/(4/6). What is the second biggest value in 0.5, f, z?
z
Let s = -52 - -48. Let g(y) = y**3 + 7*y**2 + 4*y - 7. Let z be g(-6). Which is the third biggest value? (a) z (b) 0.04 (c) s
c
Suppose 4*a = 4*v - 92, -v - a = -9 - 4. Let t be 3/v*-7*(-3)/1 | {
"pile_set_name": "DM Mathematics"
} |
17)*(r - 2)
Let m(b) be the first derivative of -37/7*b + 18/7*b**2 + 1/21*b**3 - 179. Determine w so that m(w) = 0.
-37, 1
Let m(y) = y**2 - 29*y + 137. Let h be m(25). Factor 5954*a - 5972*a + h + 2*a**2 - 9.
2*(a - 7)*(a - 2)
Solve -51/5*c + 3/5 + 48/5*c**2 = 0 for c.
1/16, 1
Suppose 78*u - 13620 = 63*u. Suppose -908 + 3*o**3 - 15*o**2 - 42*o + u = 0. Calculate o.
-2, 0, 7
Solve 36/19*a**3 - 4/19*a**5 - 6/19*a**4 - 16/19*a**2 + 0 + 0*a = 0 for a.
-4, 0, 1/2, 2
Let -88/5*x**4 + 864/5*x**3 - 4738/5*x + 2/5*x**5 + 2564/5*x**2 - 6348/5 = 0. Calculate x.
-3, -1, 2, 23
Let m(u) be the first derivative of -3*u**4/4 + 756. Find d such that m(d) = 0.
0
Let c(r) be the first derivative of 4*r**5/5 + 6*r**4 + 16*r**3/3 - 12*r**2 - 20*r + 1546. Factor c(x).
4*(x - 1)*(x + 1)**2*(x + 5)
Suppose 16*c - 11*c + 64 = 21*c. Let t(l) be the second derivative of -15/2*l**3 - 21*l - 5/12*l**c + 0*l**2 + 0. Determine n, given that t(n) = 0.
-9, 0
Let v(l) be the first derivative of -7*l**4/60 - 13*l**3/15 + 4*l**2/5 - 101*l + 215. Let u(s) be the first derivative of v(s). Find r such that u(r) = 0.
-4, 2/7
Suppose 0 = 4*i + 5*w + 90, 3*i + 9*w + 14091 = 13908. Let 1/2*l**4 + 3/4*l + 1/4*l**i - l**3 - 1/2*l**2 + 0 = 0. What is l?
-3, -1, 0, 1
Factor 0 + 584/7*o - 2/7*o**2.
-2*o*(o - 292)/7
Let x be 0 + -2 + (8 - 3). Solve -4*u - 9*u + x*u**4 + 17*u - 7*u**3 + 12*u**2 - 16 - 2*u**4 = 0.
-1, 2, 4
Let -8/19 + 1272/19*g - 50562/19*g**2 = 0. Calculate g.
2/159
Let s be (0 + -3)*(-1)/18*30620/1531. Factor 2/3*t**5 - 2*t**2 - 2/3*t**4 + 0 + 0*t - s*t**3.
2*t**2*(t - 3)*(t + 1)**2/3
Let g(w) be the second derivative of 5/6*w**4 - 1/4*w**5 + 5/6*w**3 + 0 + 82*w - 5*w**2. Factor g(p).
-5*(p - 2)*(p - 1)*(p + 1)
Suppose -u + 3*w = 16, 0 = u - w + 729 - 725. Determine b so that 6/5*b**3 + 2/5 + 2/5*b - u*b**2 = 0.
-1/3, 1
Determine n, given that 400/7 - 60/7*n - 4/7*n**2 = 0.
-20, 5
Let q(g) = 21*g + 91. Let y be q(0). Let n be 8 + 13/(y/(-28)). Determine f so that 0 + 24/5*f**2 + 12/5*f**n + 0*f + 44/5*f**3 = 0.
-3, -2/3, 0
Let b(j) be the third derivative of 121*j**8/1176 + 4103*j**7/735 + 544*j**6/7 - 6144*j**5/35 - 2824*j**2. What is x in b(x) = 0?
-192/11, 0, 1
Let d(b) = 2*b**3 + b**2 - 2*b + 7. Let i(k) = -3*k**3 - 6*k**2 - 113*k - 14. Let m(x) = -2*d(x) - i(x). Let m(o) = 0. What is o?
-9, 0, 13
Let z(w) be the first derivative of 5*w**4/4 - 115*w**3/3 + 200*w**2 - 380*w - 782. Find a such that z(a) = 0.
2, 19
Let q(w) be the first derivative of -w**3/9 + 64*w/3 - 373. Suppose q(d) = 0. Calculate d.
-8, 8
Let v be (-98)/8*(-6251)/306299. What is b in 1/4*b**2 - 45/4 + v*b**3 - 21/4*b = 0?
-3, 5
Let w = 2 + 3. Suppose -w*q = -494 - 66. Solve -q*g**2 - 1 + 4 + 109*g**2 = 0.
-1, 1
Let l(o) be the second derivative of o**6/420 + o**5/15 + 5*o**4/7 + 24*o**3/7 - 18*o**2 - 50*o. Let y(f) be the first derivative of l(f). Solve y(k) = 0 for k.
-6, -2
Let d be -29 - -1*(-5586)/(-190). Suppose -18/5 + 2/5*m**2 - 18/5*m + d*m**3 = 0. What is m?
-3, -1, 3
Let h(n) = -16*n + 11*n - 4 + n**2 + 14*n - 3. Let y be h(-10). Solve -29 - y*f - 10*f**2 - 2*f + 39 + 5*f**3 = 0 for f.
-1, 1, 2
Solve 80*i + 0 - 5/3*i**4 + 217/3*i**3 - 686/3*i**2 = 0.
0, 2/5, 3, 40
Let o(h) be the first derivative of h**6/30 + 11*h**5/20 + 5*h**4/6 - 232*h - 161. Let c(k) be the first derivative of o(k). Let c(r) = 0. Calculate r.
-10, -1, 0
Let j = 8280 - -2550. Factor r**4 - 651605 - 10*r**4 + 380*r**3 + 4*r**4 - 77798*r - j*r**2 + 214978*r.
-5*(r - 19)**4
Let r(i) = -11*i**2 + 38*i - 12. Let z(q) = -9*q**2 + 39*q - 12. Let n = -173 - -176. Let s(l) = n*r(l) - 2*z(l). Factor s(x).
-3*(x - 2)*(5*x - 2)
Let h(p) be the second derivative of -18/5*p**2 + 2*p - 7/30*p**4 - 59 + 1/100*p**5 + 49/30*p**3. Solve h(a) = 0 for a.
1, 4, 9
Let y = 133 + -131. Suppose -13*u = -12*u - y. Find g such that -2/7 - 6/7*g**4 + 8/7*g**u + 4/7*g - 4/7*g**3 = 0.
-1, 1/3, 1
Let z(w) = 46*w**2 - 85*w - 194. Let q(l) = 74*l**2 - 128*l - 290. Let r(s) = -5*q(s) + 8*z(s). Factor r(t).
-2*(t + 3)*(t + 17)
Let x(r) = r**2 - 12*r - 4. Let m(i) = 2*i**2 - 25*i - 9. Let y(p) = -6*m(p) + 13*x(p). Let a be y(6). Determine d, given that d**a + 1 + 31 - 7 - 10*d = 0.
5
Let k(o) be the first derivative of -o**2 + 0*o + 3 - 1/3*o**3. Suppose k(n) = 0. Calculate n.
-2, 0
Suppose -m - 11 = m - 3*z, -19 = -2*m - 3*z. Suppose -5*r - m*d + 12 = 0, -4*r - d + 4 = -5. Factor -3 - 5*l - 2*l**r + l**2 + l.
-(l + 1)*(l + 3)
Let y be -13 - -18 - 2/1. Factor 2*i**4 - 4*i + 4*i**2 + 5*i**3 - 13*i**y + 6*i**2.
2*i*(i - 2)*(i - 1)**2
Let t(z) = 3*z**3 - 6772*z**2 - 13545*z - 6782. Let y(v) = -6*v**3 + 13545*v**2 + 27090*v + 13566. Let l(n) = 9*t(n) + 4*y(n). Factor l(b).
3*(b - 2258)*(b + 1)**2
Let q(u) be the first derivative of -5*u**4/4 - 50*u**3/3 + 1315*u**2/2 - 4140*u - 9002. Factor q(y).
-5*(y - 9)*(y - 4)*(y + 23)
Let k(h) be the third derivative of 10/3*h**3 + 14*h**2 + 7/8*h**4 + 0*h**5 - 4 - 1/120*h**6 + 0*h. Factor k(j).
-(j - 5)*(j + 1)*(j + 4)
Let m(t) = -6*t. Let l(g) = 2*g**2 - 2844*g. Let o(n) = -l(n) + 10*m(n). Let o(v) = 0. Calculate v.
0, 1392
Let x(n) be the third derivative of -n**6/24 - 173*n**5/6 - 3445*n**4/24 - 860*n**3/3 - 31*n**2 - 1. Factor x(q).
-5*(q + 1)**2*(q + 344)
Let 469*k**4 + 271554*k**2 + 714466*k**2 - 77327*k**2 + 2*k**5 + 307915*k**2 + 611612*k**3 + 1739*k**4 + 607202*k = 0. Calculate k.
-551, -1, 0
Suppose g + 2350 = -4*p, 15*g - 19*g + 2*p - 9346 = 0. Let v = -16216/7 - g. Factor 45*y + 144/7*y**2 + 15/7*y**3 - v.
3*(y + 5)**2*(5*y - 2)/7
Let j(t) be the second derivative of t**7/7560 - t**6/432 + t**5/90 + 4*t**4/3 - t**2 - 169*t. Let l(g) be the third derivative of j(g). Factor l(y).
(y - 4)*(y - 1)/3
Let j(c) be the third derivative of c**6/240 + c**5/40 - 3*c**4/16 - 7*c**3/2 + 25*c**2. Let t(i) be the first derivative of j(i). Suppose t(p) = 0. What is p?
-3, 1
Find z such that 24 - z**2 + 21*z - 2*z - 29*z = 0.
-12, 2
Let p be (21/7 - 19)*(-2)/(-102). Let o = 179/408 + p. Factor 0 + o*c**2 - 1/8*c**4 + 0*c + 0*c**3.
-c**2*(c - 1)*(c + 1)/8
Let b(d) = 4*d**2 + 17*d + 22. Let a be 0/17 + (-7 - (1 + 0)). Let w(t) = 10*t**2 + 52*t + 66. Let r(s) = a*b(s) + 3*w(s). Suppose r(m) = 0. Calculate m.
-1, 11
Solve -3/5*l**2 - 12/5*l + 0 = 0.
-4, 0
Let a(w) be the third derivative of -w**6/300 - 119*w**5/150 - 1519*w**4/60 - 343*w**3 - 568*w**2. Suppose a(l) = 0. Calculate l.
-105, -7
Let s(c) be the second derivative of 0*c**4 - 1/120*c**6 + 0*c**3 + 24*c - 35/2*c**2 + 0 + 1/15*c**5. Let w(f) be the first derivative of s(f). Solve w(z) = 0.
0, 4
Determine m so that -3289 + 6144 - 3620 - m**2 + 0*m**2 + 158*m = 0.
5, 153
Determine c, given that 92 + 19*c**2 + 20*c**4 - 136*c + 108*c**3 - 71*c**3 - 32*c**4 = 0.
-23/12, 1, 2
Let x(a) be the third derivative of 0*a - 4/9*a**3 - 21*a**2 - 1/10*a**5 - 1/90*a**6 - 1/3*a**4 + 0. Factor x(w).
-2*(w + 2)**2*(2*w + 1)/3
Let v = -12 + -196. Let f = v - -1460/7. Factor 0 + f*q**2 - 12/7*q.
4*q*(q - 3)/7
Suppose -6 = -5*z - 2*p, p + 0*p = -5*z + 8. Let a be ((-165)/(-10) - (-4 - z)) + 0. What is c in 105/4*c + 5/4*c**3 + a + 10*c**2 = 0?
-3, -2
Let y(u) = 10*u**2 + 5*u. Let d(k) be the second derivative of 11*k**4/12 + 4*k**3/3 - 24*k. Let n(x) = 5*d(x) - 6*y(x). Factor n(a).
-5*a*(a - 2)
Let j be (0*(-97)/(-7857))/(-2 - 0). Solve 24/5*r**2 + j + 4/5*r**3 + 36/5*r = 0 for r.
-3, 0
Let r be (-14)/(-48)*(-60)/(-140). Let v(i) be the third derivative of 1/20*i**5 + 0*i**3 - 13*i**2 + 0*i + r*i**4 + 0. Factor v(o).
3*o*(o + 1)
Let i(s) be the second derivative of 2*s**6/15 + 2*s**5/5 - 7*s**4/3 + 8*s**3/3 - 11*s - 29. Factor i(y).
4*y*(y - 1)**2*(y + 4)
Solve -2*d - 1889*d**3 + 92*d**2 + 57*d**4 + 31*d**4 + 1711*d**3 = 0 for d.
0, 1/44, 1
Factor -3620779*o + 5*o**4 - 2479*o**3 - 5672*o**3 - 2643941*o + 3144230*o**2 + 231*o**3 + 3128405.
5*(o - 791)**2*(o - 1)**2
Let u = 46 + -29. Let m = u + -10. Solve 26*l - 3*l**2 - m*l + 0 - 3 - 13*l = 0.
1
Suppose 5*v - 105 = -65*b + 62*b, -29 = 5*b - 3*v. Find z, given that 41/8*z - b - 1/8*z**2 = 0.
1, 40
Let a(k) = -k**2 + 10*k - 20. Let x be a(6). What is h in -15*h**x + 5*h**5 - 133*h - 25*h**3 - 114*h + 135*h**2 + 87*h + 60 = 0?
-3, 1, 2
Let l(c) be the second derivative of c**6/50 - 33*c**5/25 - 47*c**4/20 + 9*c**3 - 2222*c. Factor l(y).
3 | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 987270810.
2, 3, 5, 107, 457, 673
List the prime factors of 50180415.
3, 5, 3345361
List the prime factors of 345280634.
2, 172640317
List the prime factors of 1364932534.
2, 7, 479, 29077
List the prime factors of 60003407.
29, 311, 6653
What are the prime factors of 48246751?
7, 6892393
What are the prime factors of 203801365?
5, 37, 41, 97, 277
What are the prime factors of 25558711?
25558711
List the prime factors of 1197933994.
2, 59, 10151983
List the prime factors of 948083336.
2, 17, 6971201
List the prime factors of 194016732.
2, 3, 7, 13, 79, 173
What are the prime factors of 1004152903?
13, 61, 1266271
What are the prime factors of 741352993?
741352993
List the prime factors of 302990700.
2, 3, 5, 193, 5233
List the prime factors of 185724498.
2, 3, 71, 435973
What are the prime factors of 1513040161?
2003, 755387
List the prime factors of 84515572.
2, 19, 1112047
What are the prime factors of 175470492?
2, 3, 53, 275897
List the prime factors of 761685634.
2, 59, 163, 199
What are the prime factors of 81395836?
2, 1553, 13103
What are the prime factors of 3498017?
37, 94541
What are the prime factors of 279579908?
2, 19, 3678683
What are the prime factors of 2102546997?
3, 101, 771011
What are the prime factors of 388991861?
388991861
List the prime factors of 2098869161.
983, 2135167
List the prime factors of 566437696.
2, 11, 271, 2969
What are the prime factors of 21770106?
2, 3, 3628351
List the prime factors of 300933920.
2, 5, 7, 89, 3019
List the prime factors of 13870940.
2, 5, 43, 127
What are the prime factors of 2128840182?
2, 3, 7, 97, 149, 167
List the prime factors of 1069310144.
2, 7, 340979
List the prime factors of 29262295.
5, 31, 71, 2659
What are the prime factors of 701370071?
17, 31, 1330873
What are the prime factors of 558155831?
179, 277, 11257
List the prime factors of 275919402.
2, 3, 11, 89, 107, 439
List the prime factors of 1111516282.
2, 11437, 48593
What are the prime factors of 1187346488?
2, 9923, 14957
What are the prime factors of 874167569?
11, 401, 198179
What are the prime factors of 270051?
3, 90017
List the prime factors of 555123044.
2, 7, 419, 47317
List the prime factors of 25441702.
2, 11, 13, 8087
What are the prime factors of 3211530705?
3, 5, 71367349
List the prime factors of 2469642388.
2, 23, 1063, 25253
List the prime factors of 179547190.
2, 5, 727, 24697
List the prime factors of 1489201608.
2, 3, 19, 23, 141991
List the prime factors of 38485576.
2, 4810697
List the prime factors of 2504376690.
2, 3, 5, 73, 1143551
What are the prime factors of 467666370?
2, 3, 5, 5196293
What are the prime factors of 2189920483?
1009, 2170387
What are the prime factors of 8516859?
3, 13, 218381
What are the prime factors of 1829094565?
5, 19, 97, 198491
List the prime factors of 3320761701.
3, 1106920567
What are the prime factors of 184976631?
3, 7, 47, 179, 349
List the prime factors of 3591558.
2, 3, 61, 3271
What are the prime factors of 6056537903?
13, 465887531
What are the prime factors of 475799584?
2, 13, 1143749
List the prime factors of 2147199642.
2, 3, 7, 17041267
List the prime factors of 388700198.
2, 53, 449, 8167
What are the prime factors of 86432750?
2, 5, 345731
List the prime factors of 1152229257.
3, 128025473
List the prime factors of 3087082128.
2, 3, 13, 149, 33203
List the prime factors of 55758468.
2, 3, 353, 13163
List the prime factors of 36043625.
5, 288349
List the prime factors of 246382719.
3, 11, 2099, 3557
What are the prime factors of 38778128?
2, 41, 59113
List the prime factors of 159511661.
491, 324871
List the prime factors of 79067367.
3, 2928421
List the prime factors of 246993746.
2, 123496873
What are the prime factors of 7219610?
2, 5, 721961
What are the prime factors of 4167652551?
3, 733, 1895249
List the prime factors of 15205527.
3, 1689503
What are the prime factors of 20149212?
2, 3, 1679101
List the prime factors of 131605684.
2, 7, 4700203
What are the prime factors of 36532997?
79, 462443
What are the prime factors of 123475690?
2, 5, 13, 53, 17921
What are the prime factors of 1663321155?
3, 5, 521, 212837
What are the prime factors of 252792145?
5, 50558429
List the prime factors of 4476049.
17, 281, 937
What are the prime factors of 869144912?
2, 54321557
List the prime factors of 49028482.
2, 71, 345271
List the prime factors of 25569901.
7, 3652843
List the prime factors of 432423039.
3, 359, 401507
List the prime factors of 89942062.
2, 7, 149, 43117
List the prime factors of 298621717.
298621717
List the prime factors of 36964420.
2, 5, 1848221
What are the prime factors of 287731741?
11, 26157431
List the prime factors of 24846055.
5, 13, 37, 10331
What are the prime factors of 137169022?
2, 17, 4034383
List the prime factors of 273413250.
2, 3, 5, 11, 11047
What are the prime factors of 51702825?
3, 5, 53, 13007
What are the prime factors of 423803080?
2, 5, 433, 24469
List the prime factors of 4060372.
2, 1015093
What are the prime factors of 1190957617?
947, 1257611
List the prime factors of 50247445.
5, 53, 189613
What are the prime factors of 123978555?
3, 5, 293, 9403
List the prime factors of 19113123.
3, 6371041
What are the prime factors of 270724867?
7, 38674981
List the prime factors of 1952457547.
1952457547
List the prime factors of 2421734676.
2, 3, 23, 179, 49019
List the prime factors of 78371807.
78371807
List the prime factors of 2075569924.
2, 43, 331, 36457
List the prime factors of 74712115.
5, 757, 19739
What are the prime factors of 45297284?
2, 47, 240943
List the prime factors of 2431377212.
2, 11, 103, 536491
List the prime factors of 43003432.
2, 5375429
List the prime factors of 275196405.
3, 5, 11, 53, 31469
What are the prime factors of 2959495084?
2, 7, 13, 173, 46997
List the prime factors of 104299459.
11, 861979
List the prime factors of 44695899.
3, 1171, 4241
List the prime factors of 1620354084.
2, 3, 135029507
What are the prime factors of 264839910?
2, 3, 5, 41, 215317
What are the prime factors of 81742165?
5, 47, 53, 6563
List the prime factors of 337401287.
337401287
List the prime factors of 1334128173.
3, 7, 63529913
What are the prime factors of 2335313610?
2, 3, 5, 7, 797, 4651
What are the prime factors of 66472913?
13, 337, 15173
What are the prime factors of 135772811?
83, 1635817
What are the prime factors of 40414192?
2, 7, 13, 41, 677
List the prime factors of 1090450875.
3, 5, 2907869
What are the prime factors of 3983996?
2, 19, 31, 89
What are the prime factors of 57334919?
57334919
What are the prime factors of 232670524?
2, 58167631
List the prime factors of 329815594.
2, 164907797
List the prime factors of 62210924.
2, 31, 501701
List the prime factors of 45160880.
2, 5, 109, 5179
What are the prime factors of 21768762?
2, 3, 3628127
List the prime factors of 455791533.
3, 467, 325333
List the prime factors of 1274038422.
2, 3, 293, 353, 2053
What are the prime factors of 3108364481?
3108364481
List the prime factors of 515056020.
2, 3, 5, 23, 373229
List the prime factors of 50917150.
2, 5, 19, 53597
List the prime factors of 18977180.
2, 5, 53, 17903
List the prime factors of 105934219.
37, 1031, 2777
What are the prime factors of 102242342?
2, 29, 349, 5051
What are the prime factors of 101492676?
2, 3, 313249
What are the prime factors of 1433829132?
2, 3, 677, 58831
List the prime factors of 563689827.
3, 67, 311603
What are the prime factors of 2367570112?
2, 36993283
What are the prime factors of 10257422?
2, 7, 732673
List the prime factors of 593217475.
5, 29, 818231
What are the prime factors of 600586608?
2, 3, 17, 736013
List the prime factors of 82525761.
3, 9169529
What are the prime factors of 2854934798?
2, 1427467399
List the prime factors of 30523591.
7, 59, 73907
List the prime factors of 1804035716.
2, 7, 17, 61, 62131
What are the prime factors of 20574684?
2, 3, 13, 43963
What are the prime factors of 953962265?
5, 190792453
List the prime factors of 46898065.
5, 9379613
What are the prime factors of 411426465?
3, 5, 27428431
List the prime factors of 590165987.
71, 8312197
What are the prime factors of 2458979243?
7, 23, 1907, 8009
List the prime factors of 1932862.
2, 966431
What are the prime factors of 64656334?
2, 1471, 21977
| {
"pile_set_name": "DM Mathematics"
} |
llest value in b, 3, -1/4?
b
Let t = 0.45 - 0.41. What is the biggest value in 10, t, -2?
10
Let d(s) = 2*s**2 + 5*s + 1. Let n(f) = 2*f + 24. Let z be n(-13). Let w be d(z). Which is the biggest value? (a) w (b) 3 (c) 2/11
b
Let g = -49 + 34.4. Let b = g - -15. Let y = -758/19 + 40. What is the second smallest value in b, y, -2/7?
y
Let x(j) = -2*j**2 - 3*j. Let l be x(-2). Let v be l - 3/(-9) - -2. Let g be 24/(-108) - ((-34)/(-9) + 0). What is the second biggest value in g, v, 4?
v
Let w = 2.97 - -0.03. Let t = 2.0501 + -0.0501. Let j be (-1)/5 - 38/(-90). Which is the biggest value? (a) w (b) t (c) j
a
Let f = 36 - 30. Let a = -16.3 + 16. What is the second smallest value in 4, f, a?
4
Let q(u) = u**3 + 26*u**2 - 58*u - 53. Let f be q(-28). Let v be ((-2)/(-4))/(5/6). Which is the second smallest value? (a) -5 (b) f (c) v
c
Let l = 859.5 + -859. Let m = -29/15 - -18/5. What is the fourth biggest value in 5, l, m, -1?
-1
Let h = -5.4 + 0.4. Let t be ((-2)/(-8))/(7/8). Which is the biggest value? (a) h (b) -4 (c) t
c
Suppose 9 = l + 2*i - 2, 4*i - 28 = -4*l. What is the biggest value in -1/5, l, -2/9, -2?
l
Suppose -4*o + 755 = -2*o + 5*h, 0 = -o + 5*h + 415. Let p = o - 3514/9. Let k = -0.1 - -0.3. Which is the smallest value? (a) 4 (b) p (c) k
b
Let m = 1.88 - 1.9. Let k = 0.12 + m. Which is the second smallest value? (a) k (b) 1/4 (c) -0.1
a
Let l = -4.51 + 0.51. Which is the smallest value? (a) -0.1 (b) l (c) 0
b
Let y be ((-2)/(-12))/(550/(-660)). Which is the third biggest value? (a) 2/7 (b) 0.4 (c) y (d) -5/4
c
Let z(d) = -2*d + 26. Let t be z(13). Let l(i) = -2*i - 2. Let g be l(t). Which is the smallest value? (a) 3/2 (b) 0 (c) g
c
Let m = -26.971 - 0.029. Let t = 26.7 + m. Let j = -3 + 5. What is the smallest value in j, 0.2, t?
t
Suppose 0 = -y - 0 + 2. Let n be (1 - -11)*(-4)/(-6). Suppose -n = -y*r - 0. What is the second smallest value in 0.1, 0.3, r?
0.3
Let o be 7/21 + (-19)/3. Let d be (-4)/6*o + -9. Which is the second smallest value? (a) d (b) 1/3 (c) 1
b
Let q = -4.04 - -0.04. Let d = 4 - 4.3. Let y = 4/21 - -2/63. Which is the second biggest value? (a) y (b) d (c) q
b
Let s be ((-12)/(-10) - 0)/((-24)/(-400)). What is the second smallest value in -4, s, 4?
4
Let v(h) = h - 17. Let r be v(5). Let w be ((-2)/r - 0)/(-1). Let z = 0.3 - 1.3. Which is the second biggest value? (a) z (b) w (c) 6
b
Let c be 2 + 3/((-6)/8). Let q = 549 + -553. What is the third biggest value in c, 1/2, q?
q
Let o = -5 + -5. Let u = o - -13. Which is the third smallest value? (a) u (b) -4/3 (c) -0.4 (d) 2/5
d
Let k = 2/195 + -209/1365. Let u = 0.37 - 1.03. Let f = u - -0.16. What is the third smallest value in f, 0, k?
0
Suppose 4*q + 3 = 3*k, -12 = q + 5*k + 6. What is the second smallest value in q, 3, 7?
3
Let m = -107.1 + 59.1. Which is the second biggest value? (a) -0.2 (b) 0 (c) m
a
Let b = 9/4 - 23/12. Suppose 0*o - 2*o = -4*f, 2*o - 2*f = -8. Let a be ((-2)/4)/(5/(-2)). What is the smallest value in b, o, a?
o
Let v = 0.72 - -2.2. Let u = v + 0.08. Let i = -1/7 + 31/21. What is the second smallest value in -2/3, i, u?
i
Let t = 723 - 726. Which is the fourth biggest value? (a) 1/17 (b) -0.2 (c) t (d) 0
c
Let g be (((-399)/(-190))/(-21))/((-4)/(-10)). Suppose 0*v = 3*v - 15. What is the third biggest value in v, g, 1?
g
Let g = -1629 - -1629. What is the second biggest value in 0.07, g, 26?
0.07
Let r = 2011 - 1988. Which is the second smallest value? (a) r (b) -1/3 (c) 2/11 (d) 2
c
Let k = -111 - -88.5. Let x = k + 22. What is the second smallest value in -1/6, -2/3, x?
x
Let s be (6/30 - 16/30)/((-8)/18). Let t be (2/3)/(6/(-9)). What is the smallest value in s, 1/14, t?
t
Let p be (1/4)/(4/(-24)). Let y = 0.3 + -0.2. Let b = 0.3 + y. What is the second smallest value in -0.1, p, b?
-0.1
Let j = -22 - -21.91. Let h = -1.07 + 0.48. Let c = h - j. What is the third smallest value in -0.01, 3, c?
3
Let l be 30/6 + (-171)/36. Let s be (0*3/(-3))/(-1). What is the biggest value in s, -2/21, l?
l
Let y = 1.93 + -1.568. Let h = y - -0.038. Which is the fourth biggest value? (a) 1/4 (b) 0.2 (c) h (d) -2/5
d
Let r be (-7 - -4) + 17 - -1. Let b be 12/(-28) - r/(-84). What is the biggest value in -3/4, -0.19, b?
-0.19
Let s be (-1)/35 + 198/30 + -7. Let u be 9/(-5) + 2 + 0. What is the biggest value in s, u, -2?
u
Let w = 2/43 + 35/172. Which is the third smallest value? (a) w (b) 0.2 (c) -15
a
Suppose -7*o = 124 + 86. Let i be (o/(-75))/(8/10). Which is the smallest value? (a) i (b) 0 (c) 14
b
Suppose 2*v + z - 26 = 5*z, 33 = 3*v - 4*z. Let l = 178 - 1244/7. What is the third biggest value in l, v, 0.2?
0.2
Let c(u) = -14*u - 21. Let y be c(-2). Let x = -15 - -10. What is the fourth smallest value in y, 4, 0, x?
y
Let a be (10 + 0)/(-5 - 213/(-42)). Let c = -839/6 + a. What is the third smallest value in -0.1, -17/5, c?
c
Let d = 4 - -10. Suppose 5*z - 41 - 4 = 0. Let r = d - z. Which is the third smallest value? (a) 2 (b) r (c) -3/8
b
Let i be (2/(-5))/(-2 - -4). Suppose y = 3*z + 11, 3*y - z = -6*z - 9. Suppose 5*u + 10 = 2*h, y*u + 2 + 1 = h. What is the biggest value in 0.6, i, h?
0.6
Suppose 0*m = -2*m, 0 = 2*f - 5*m. Let j = f - -5. Let k = 6067 - 6071. What is the smallest value in j, k, -1?
k
Let q = -2.733 + 0.033. Let s = q + 1.9. What is the smallest value in -5, 1, s?
-5
Let r = 0.437 - 0.837. What is the second biggest value in 5, 0.1, 2, r?
2
Let w = -22.126 + 0.126. What is the third biggest value in -0.4, w, -5?
w
Let t = -0.0503 + 1.0503. What is the second biggest value in -6, 36, t?
t
Suppose 4*z + 20 = -2*h + h, 5*z + 2*h = -28. Let r = 211 - 214. What is the fourth smallest value in z, 3, r, -0.2?
3
Let j = -0.087 + 6.987. Let h = -43.1 - -46. Let d = j - h. Which is the second smallest value? (a) -2/7 (b) d (c) 0.21
c
Suppose -5*t + 3921 = -8*t. Let k be (-10)/85 - t/850. Let l = -2/25 - k. Which is the second smallest value? (a) 5 (b) 3 (c) l
b
Let y = 29.393 - 28.9. Let d = 0.007 + y. What is the third biggest value in -2, 0.1, d, 4?
0.1
Let i = 1/3 - 14/15. Let y = -40 - -36. Which is the third smallest value? (a) y (b) i (c) -1/7
c
Let o = 10.08 + -0.08. Let y = -102 - -85.4. Let k = -17 - y. What is the smallest value in k, -3, o?
-3
Suppose -4*w = -11*i + 13*i + 86, 0 = -5*w - 4*i - 109. Which is the biggest value? (a) 0.03 (b) w (c) 0.5
c
Let h be (2 - 469/196) + 1/7. Which is the third smallest value? (a) 2/9 (b) 1/14 (c) h
a
Let x = -407/4 - -101. Let t = 714 - 714.2. Which is the smallest value? (a) -2 (b) t (c) x
a
Let y = -0.9 - -2.2. Let n = 10 - y. Let x = n - 9. Which is the second smallest value? (a) -1/4 (b) 0.5 (c) x
a
Let t be 12/(-10) - 4/(-10). Let c = -13 - -52. Let z = 44 - c. What is the second smallest value in -1, z, t?
t
Let r = 134 + -400/3. Which is the second smallest value? (a) r (b) -4 (c) -43 (d) -0.4
b
Let n = 10.9 + -12. Let x = n - -1. Let a = -5.171 - -5.571. What is the third smallest value in a, x, -0.2?
a
Let u be (-2)/2 - 4/(-8). What is the third smallest value in u, 6, -3?
6
Let s = 49/48 + -27/16. What is the biggest value in s, -0.29, 4?
4
Let z be 4 - (-39)/(-130)*10. Which is the second smallest value? (a) 1/2 (b) z (c) -0.23
a
Let z = 502 - 502.3. What is the second smallest value in -3, z, -64?
-3
Let t = -4 - -8. Let i = 7383 - 7382. What is the second biggest value in 3, i, -2/5, t?
3
Let n = 0.16 - 3.96. Let y = n + 4.2. Which is the smallest value? (a) -0.1 (b) 0.05 (c) 0.5 (d) y
a
Let v = -35.5 + 35.3. What is the third smallest value in -4/3, -3, v?
v
Let f = -236 - -238. Which is the second biggest value? (a) -2/7 (b) 1 (c) f
b
Let f = -534 + 534. Which is the second biggest value? (a) f (b) 2 (c) -0.04 (d) 1
d
Let w = 3.6 + -0.6. Let k = 10 + -15. Let h = 133.9 - 134. Which is the third biggest value? (a) w (b) h (c) k
c
Let p = 17.9 + -18.3. What is the fourth biggest value in -4, -1, 2, p?
-4
Let x = 6044 - 6045. Let s = -0.6 - -1. What is the smallest value in 0, s, -3/5, x?
x
Let s = -2245 + 11224/5. Suppose -2*f = 6, -5*n + 5*f + 10 = -4*n. Let p be (n/(-3))/(1/(-3)). Which is the biggest value? (a) p (b) s (c) 2
c
Let t = 31 + -36. Let c = 6313 - 1868 | {
"pile_set_name": "DM Mathematics"
} |
, -0.1, 1/4?
-0.1
Let r = 6.4 - 6. Let f = -2.7 + 2. Let i = f - -0.6. Which is the nearest to 0.1? (a) -5 (b) r (c) i
c
Let k = 0.624 + 0.076. Which is the nearest to k? (a) 3/5 (b) -0.3 (c) 0.5
a
Let a(d) = d**2 + 9*d + 16. Let i be a(-5). What is the nearest to 1 in i, -0.1, 3/5?
3/5
Suppose -3*a + 3*s = -18, 7*a = 3*a + 5*s + 29. Let p be -4*(-1)/(0 - -1). Let j = p + -3. What is the nearest to j in -3, a, 0?
a
Let o be (4/(-27))/((-4)/6). Let p = -2 - -9/4. Which is the closest to p? (a) 0.4 (b) -1/2 (c) o
c
Let m be 0/2 + (-4)/(-46). Let h = -14 - -17. Let n = 2.6 - 3. Which is the nearest to 0.1? (a) m (b) h (c) n
a
Suppose -v - 8 = -3*v. Suppose -p + v*y = -y + 12, 5*p + y - 18 = 0. Which is the nearest to -1? (a) p (b) 2 (c) 0
c
Let t = -2.2 - -1.8. Which is the closest to -0.2? (a) t (b) 1 (c) -0.3
c
Let w = 195 + -1367/7. What is the nearest to 0.1 in -2, 0.04, w?
0.04
Suppose 30 = 2*m + 14. Suppose -2*v = -d + 1 + 3, -2*v = -3*d + m. What is the closest to v in 0, -4, 0.3?
0
Suppose -5*p - 17 = 3. Let s = 2 - p. Let q be 3/s - (-2)/(-4). Which is the closest to 1? (a) 4 (b) -3 (c) q
c
Suppose -f + 1 = -p, f + 4*p - p + 3 = 0. Which is the nearest to f? (a) -1/2 (b) 2/3 (c) -1
a
Let x = -44.5 + 44. Which is the nearest to 1? (a) -4 (b) -0.2 (c) x
b
Let m = -15 + 19. Let b = -6914/19 + 364. What is the closest to b in m, -3, -3/7?
-3/7
Let b = -1 + 0.7. Suppose 0 = 33*v - 39*v + 6. What is the nearest to 2 in -1/2, v, b?
v
Let m(s) = -2*s - 9. Let h be m(-7). Let t = -2 - -7. Let x = t + -1. Which is the nearest to -0.1? (a) x (b) h (c) -0.4
c
Let s = -0.06 + -0.14. Which is the closest to -1? (a) s (b) -3 (c) -4/3
c
Let x = 11 - 11. Which is the nearest to 0.1? (a) -13 (b) x (c) -1/3
b
Let o = -15 + 11. What is the closest to 0.1 in -5, o, -0.3?
-0.3
Let b = -11/4 + 69/28. What is the nearest to 1 in 2/7, b, 3?
2/7
Let u = 54.3 - 51. Let o = u + 0.7. Let k = -7 - -4. Which is the nearest to o? (a) 0.2 (b) -1 (c) k
a
Let k = -102 - -508/5. What is the closest to -3/4 in 5, 0.4, k?
k
Let h be (-4)/(-14) - (-11)/(-14). Let r be 4/18 - 133/315. Let x be -2 - 18/(-4) - 1. What is the nearest to h in r, x, 0?
r
Suppose 0*m - m + 2*i = -13, 4*m = i + 17. Which is the closest to 0.1? (a) m (b) 4 (c) 12
a
Let h = -0.045 + 0.075. What is the closest to 0.1 in h, 2, 0.1?
0.1
Let i = -1 - -1.4. Let p(l) = l**3 - 1. Let y = -10 + 9. Let z be p(y). Which is the nearest to 0? (a) i (b) 1/6 (c) z
b
Let p be 3 - 4/(2/2). Which is the nearest to -1/2? (a) p (b) 3/5 (c) 1
a
Let j = -5.1 - -5. Let p = -7 - -5. Suppose -4*k - 16 = -4*y, -3 = -4*k + 1. Which is the nearest to 1? (a) p (b) j (c) y
b
Let r be (-6)/(-8) - (-5)/(-10). Which is the nearest to r? (a) 1/3 (b) 0.2 (c) 3
b
Let h = -18 + 20. Let m be (-1)/2*(1 - 4). Which is the closest to 0? (a) m (b) 0.1 (c) h
b
Suppose 5*h + p - 3*p - 14 = 0, 0 = 3*p - 9. What is the closest to 1 in -4, h, -0.22?
-0.22
Let t = 0.5 + -1.3. Let w = t - -0.86. Let r = 0.16 - w. Which is the closest to r? (a) -0.1 (b) -0.2 (c) 2
a
Let d = -0.1 + -0.4. Let s = -71.7 + 75. Let j = s - 0.3. What is the nearest to 1 in 0, d, j?
0
Let i = -2 - -1.9. Let v(s) = s**2 - 4*s + 3. Let r be v(2). What is the closest to -1 in 1, r, i?
r
Let p = 12 - 8. What is the nearest to -5 in -1/2, -0.2, p?
-1/2
Let s = 2 + -1. Let l = 536/35 + -78/5. What is the nearest to -1 in 4, s, l?
l
Let i = 0.34 + -0.74. Let q be (-1*(-9)/(-6))/(-3). Which is the closest to q? (a) i (b) 1/2 (c) -0.5
b
Let s = -104 - -941/9. Let x = -11/36 + s. Let k = 0.2 - 0.4. Which is the nearest to k? (a) -0.1 (b) x (c) 0
a
Let x be 9/12 - 55/84. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 0.1
a
Let f = -53 - -213/4. What is the nearest to 1/3 in f, 2, 3/7?
f
Let b = -18.4 - -16.4. What is the closest to -2 in -2/9, b, 0?
b
Let h = -18.6 - -18.5. Let k = 1 - 1. Which is the nearest to h? (a) 3 (b) 0.3 (c) k
c
Suppose 3*h - 5 = -2*h. Let u = -9 + 10. What is the closest to u in -0.6, h, 5?
h
Suppose -30 = 5*b - 10. Suppose 3*i = -2*s - 7, -5*i = 2*s + 2*s + 15. Let d = 0.5 - 0.3. What is the closest to -0.1 in d, b, i?
d
Let t = -16 + 19. Let r = -4.4 - -0.4. Let u = -1 - 0. Which is the closest to u? (a) -0.2 (b) r (c) t
a
Let j = 47.3 + -47. What is the closest to 2 in -3, j, 1?
1
Let u(w) = w**2 + 10*w - 29. Let b be u(-12). What is the nearest to -0.1 in b, -8, 1?
1
Let v = -4.096 - -0.096. What is the nearest to 1 in -1/6, v, 8/9?
8/9
Let f be (-9)/10 - 30/(-75). Which is the nearest to f? (a) 1/3 (b) -0.3 (c) -3/4
b
Suppose -3*w + 1 + 14 = 0. Let z(p) = -p**2 + 6*p + 5. Let f be z(w). Suppose i - 6*i = -f. Which is the closest to 1? (a) 0.5 (b) i (c) -1
a
Let u(f) = -f**3 + 15*f**2 + 2*f - 26. Let n be u(15). Which is the closest to 0.6? (a) 3 (b) -1 (c) n
b
Let y = 0.1 - 0.2. Let n = -0.14 - -0.04. Which is the closest to n? (a) y (b) -0.3 (c) 0.5
a
Let m = -16.5 + 24.4. Let t = 8 - m. What is the closest to t in 0.2, 2, -1?
0.2
Let z be 32/(-12) + 5/(10/4). Which is the closest to -1/7? (a) z (b) -4 (c) 5
a
Let w = -0.4 - -0.8. Let p = 23 - 8. Let q be ((-4)/150)/((-3)/p). Which is the closest to 1? (a) q (b) 3/8 (c) w
c
Let r = 5 - 2. Let b = r + -3. Let j be ((-20)/15)/(10/(-3)). What is the closest to -1/3 in b, j, -3?
b
Let i be (0 + -1)*-1 - 1. Which is the closest to i? (a) -4 (b) -1 (c) 5
b
Let f = -0.04 - -3.04. Let h = 3.05 + -0.05. Let v = h - f. What is the closest to 2 in 5, v, 0.5?
0.5
Let n = -12 + 0. Let d = n - -11.6. Which is the nearest to 1? (a) 4 (b) d (c) -4
b
Let h = 17/8 - 77/40. Let o be (-375)/(-36) - 1/(-3). Let t = 11 - o. Which is the closest to t? (a) h (b) 4 (c) 0
a
Let y = -0.04 - -0.84. Let n = y - 1. Suppose 0*h + 5 = -5*z + 3*h, -5*h = 0. Which is the nearest to -1? (a) z (b) n (c) -4
a
Let c = 0.05 - -2.95. Let s = 2.5 - c. What is the nearest to -1/3 in 3/4, s, 0.5?
s
Let k be (4/(-14))/(4 + -2). Let q = -2 + 2. Which is the closest to -0.1? (a) 4 (b) q (c) k
c
Let k = 1.1 - 1.6. Which is the nearest to 2? (a) -0.2 (b) -0.3 (c) k
a
Let z = 1.4 + -0.9. What is the nearest to 2 in 3, z, -1?
3
Let f = 1 + 1. Let r = 1.9 - f. Which is the closest to 1? (a) 2 (b) 6/11 (c) r
b
Let d = 4.9 - 0.9. Let r = -0.01 + -0.49. What is the nearest to 0.1 in d, -1, r?
r
Let t(g) = -g**3 + 4*g**2 + 4*g + 9. Let s be t(5). Suppose 8*i = 10*i - s. Let l = 4 - 3. Which is the nearest to i? (a) 1/3 (b) l (c) -1/4
b
Let h(q) = -q + 3. Let p be h(3). Which is the closest to p? (a) 0.5 (b) -0.1 (c) 2
b
Let y = -8.5 + 8. Let v = 6 + -5.6. Which is the nearest to 0? (a) v (b) -1/6 (c) y
b
Let k = -39 - -42. Which is the closest to -3? (a) -4 (b) -0.2 (c) k
a
Let s = 1.97 + 0.03. What is the closest to s in -1/4, -2/5, 0.1?
0.1
Let l = 1/58 + 43/29. Let n = 3 - 1. Suppose -n*r + r = 0. What is the closest to 0 in 5, r, l?
r
Let j = -6 - -6. Let f be 2 + (112/52 - 4). Which is the closest to 3? (a) 2/9 (b) f (c) j
a
Let o be ((-4)/6)/(78/18). Which is the nearest to o? (a) 2/19 (b) -2/3 (c) 1/2
a
Suppose -4*g = -2*r - 6*g, 4*r = -5*g - 2. Let u = 0.39 + 2.61. Which is the nearest to 0.1? (a) r (b) u (c) 0
c
Let m be (-2 - 44/(-16))*-2. Which is the closest to -2? (a) -1/2 (b) -3 (c) m
c
Let k = 3.4 - 0.4. Let l = 0.3 - 0.2. Suppose -13*n + 7*n = -12. Which is the nearest to l? (a) -2 (b) k (c) n
c
Suppose -11 = 5*n + 4. What is the nearest to -0.1 in 0.2, n, -1?
0.2
Let m = -22.1 - -22. Which is the closest to m? (a) -1 (b) 0.1 (c) 2
b
Let k = 31/3 + -10. Let w be (-1)/7*3/3. Let u = -3.2 - -3. Which is the nearest to k? (a) u (b) w (c) -6/5
b
Suppose 6*k - 51 = 3*k. Suppose -5*g = -2*f - 16, 3*g + g - 3*f = k. Let w = 4 + -4.1. Which is the nearest to w? (a) g (b) 0.5 (c) 1/6
c
Let y = 1.2 - 1. Let w = -1 - 0.3. Let r = -0.8 - w. Which is the nearest to -1? (a) r (b) y (c) 0
c
Let d = -16 + 15. Let p = 5 + -5.6. Which is the closest to d? (a) 0 (b) p (c) 0.3
b
Let u be (1/(-3))/((-4)/6). Let v = -11.5 - -11. Let q be ((-3)/4)/(24/16). Which is the closest to q? (a) u (b) -2/9 (c) v
c
Let i(y) = 5*y. Let z be i(2). Let m be -2 + 4 - 26/z. Let k = 2321/7 + -331. Which is the nearest | {
"pile_set_name": "DM Mathematics"
} |
0036806300759056*l**2
Let x(m) = -48*m. Let f(l) = -1064562*l**2. Calculate f(x(n)).
-2452750848*n**2
Let u(o) = 340490*o**2. Let n(h) = -36*h**2. What is u(n(w))?
441275040*w**4
Let x(h) = -5*h**2. Let z(c) = c - 140. Let n(r) = 3*r - 303. Let p(q) = -6*n(q) + 13*z(q). Calculate p(x(w)).
25*w**2 - 2
Let j(c) = -13*c. Let a(m) be the first derivative of m**5/15 + 5*m**2/2 - 9*m + 66. Let o(v) be the second derivative of a(v). What is o(j(s))?
676*s**2
Let i(b) = 2*b**2. Suppose -98 = -q - 103. Let s(y) = 16*y - 3. Let f(n) = 18*n - 4. Let o(j) = q*f(j) + 6*s(j). Give o(i(p)).
12*p**2 + 2
Let i(j) = -j. Let p(w) = 4*w. Let b(y) = -4*i(y) + p(y). Let h(n) be the first derivative of -4*n**2 - 181. What is h(b(q))?
-64*q
Let r(c) = c**2. Let h(y) = 15375279*y. Calculate h(r(o)).
15375279*o**2
Let p(i) = 8074*i. Let w(c) = -413*c**2 - c. What is p(w(q))?
-3334562*q**2 - 8074*q
Let h(x) = 19*x + 51*x - x - 98*x - 3*x**2. Let v(n) = 16*n. What is h(v(w))?
-768*w**2 - 464*w
Let r(x) = -3*x. Let y(w) = -4157 + 4157 - 1773*w. Calculate r(y(p)).
5319*p
Let w(k) = 7*k**2 - 6*k**2 + 3*k**2 - 3*k**2. Let p(f) = -166*f + 12 - 26 + 8 + 6. Determine p(w(s)).
-166*s**2
Let w(f) = f**2 - 36951. Let a(j) = 17*j + 3. Determine w(a(b)).
289*b**2 + 102*b - 36942
Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 9/4*z**4 + 1 - 34*z. Let b(d) = d. Calculate b(m(h)).
27*h**2
Let p(s) = -146553*s. Let j(h) = -4*h**2 - 21*h. Determine p(j(w)).
586212*w**2 + 3077613*w
Let t = -55 + 275. Let q(i) = t*i - 458*i + 225*i. Let k(u) = 5*u. What is k(q(g))?
-65*g
Let g(o) = -3*o**2 + 7165*o. Let q(t) = 183*t. Calculate q(g(v)).
-549*v**2 + 1311195*v
Let z(b) = -5*b + 3. Let r(i) = -395*i - 392*i + 777*i. What is r(z(v))?
50*v - 30
Let y(i) = -44 + 588*i + 42 - 597*i. Let h(u) = u + 43. Give y(h(v)).
-9*v - 389
Let u(t) = -4*t. Suppose -96*f - 56450 = -101*f. Let y = -7638 + f. Let a(d) = y - 3652 + 2*d**2. Calculate u(a(m)).
-8*m**2
Let x(v) = 0*v - 14*v + 4*v - 8*v. Let o = 69 + -64. Let n(p) = 18*p - o*p - 11*p. Calculate n(x(f)).
-36*f
Let f(h) = -64*h - 42855. Let b(i) = 159*i. What is f(b(y))?
-10176*y - 42855
Let d(r) = 41*r. Let s = 17933 - 17933. Let j(b) be the first derivative of s*b - 1/3*b**3 + 0*b**2 - 34. Determine j(d(t)).
-1681*t**2
Let z(g) = 18*g + 14738. Let r(w) = 228*w. Give z(r(d)).
4104*d + 14738
Let m(z) = -33*z. Let f = 12374 + -12374. Let u(b) be the second derivative of 1/6*b**4 + f + 24*b + 0*b**2 + 0*b**3. Calculate m(u(w)).
-66*w**2
Let q(r) = 4*r. Let l(f) = 5*f**2 - 258092*f. Give l(q(o)).
80*o**2 - 1032368*o
Let t(y) be the first derivative of 5 - 2 + 10*y**2 + 2*y**2 - 7*y**2. Let f(q) = 2*q. What is f(t(v))?
20*v
Let p(u) = -1464*u - 1. Let n(h) = -1706*h. What is p(n(y))?
2497584*y - 1
Let n(i) = 5*i**2 + 23*i. Let k be ((-36)/(-63))/((-2)/(-7)). Let p(l) = 8*l**2 - 3*l**k - 3*l**2. Determine n(p(j)).
20*j**4 + 46*j**2
Let n(q) = -3*q**2 + 12*q - 4. Let r(x) = -4*x**2 + 9*x - 3. Let p(t) = 3*n(t) - 4*r(t). Let j(u) = -260*u**2. Calculate p(j(i)).
473200*i**4
Let n(f) = f. Let u(v) = 4979*v**2 - 3771. Determine u(n(x)).
4979*x**2 - 3771
Let b(y) = -4753*y + 9*y**2 + 4753*y. Let t(g) = -8 - 7 - 7*g**2 + 15. What is t(b(h))?
-567*h**4
Let t(s) = 32340592*s. Let h(l) = 10*l**2. Calculate h(t(r)).
10459138909104640*r**2
Let z(j) = 5*j**2 + 9*j. Let y(h) = -4*h**2 - 10*h. Let b(m) = 6*y(m) + 7*z(m). Let v(k) be the first derivative of -2*k**3/3 + 4. Calculate b(v(t)).
44*t**4 - 6*t**2
Let y(f) be the first derivative of 4 + 2*f**3 + 3 - f**3. Let v(k) be the third derivative of -k**4/8 - 2*k**2 + 50. What is y(v(u))?
27*u**2
Let c(m) = 2*m**2 - 4*m. Let f be c(-2). Let b(q) = -2 - 2*q + f - 14. Let l(w) = -4*w**2 + 0*w**2 + 4*w**2 - 5*w**2. Determine b(l(r)).
10*r**2
Let h(i) = 16*i - 25. Let a(d) = -4*d + 45. Let r(z) = -23*z + 255. Let b(f) = -34*a(f) + 6*r(f). Determine b(h(m)).
-32*m + 50
Let a(f) = f**2 + 2250*f. Let r(g) = -711*g. What is a(r(x))?
505521*x**2 - 1599750*x
Let r(w) = -1488*w. Let h(y) = -643*y + 116. Give h(r(k)).
956784*k + 116
Let r = -14951 - -14951. Let l(a) be the third derivative of r*a**3 - 1/12*a**5 + 0*a + 23*a**2 + 0 + 0*a**4. Let u(i) = -6*i**2. What is l(u(q))?
-180*q**4
Let w(d) be the third derivative of 661*d**4/12 + 1120*d**2. Let y(h) = -h. Determine y(w(n)).
-1322*n
Let q(s) be the second derivative of 1/6*s**3 + 0*s**2 + 0 + 27*s. Let g(u) = 116*u**2. Determine q(g(n)).
116*n**2
Let l(p) = 6*p. Let b be (-21)/(-12) + (-4)/(-16). Let m(f) = 7*f**2 + 10*f**2 + 6*f**b - 27*f**2. Determine m(l(t)).
-144*t**2
Let a(c) = 10320*c + 2. Let f(q) = -495*q**2 - 6*q. Give a(f(x)).
-5108400*x**2 - 61920*x + 2
Let u(w) = -w**3 + 16*w**2 - 30*w + 30. Let m be u(14). Let c(j) = 188*j**m - 19*j - 187*j**2 - 82*j. Let n(y) = y**2. What is n(c(r))?
r**4 - 202*r**3 + 10201*r**2
Suppose -2*r - 50 + 54 = 0. Let v(o) = 10*o**2 + o**2 + r*o - 20*o**2. Let x(u) = -u. Give v(x(l)).
-9*l**2 - 2*l
Let o(b) = -649470*b. Let a(c) = -92*c. Determine o(a(z)).
59751240*z
Suppose -6 = 2*j - 10. Let d(o) = -449*o**2 + 240*o**2 + 223*o**j. Let u(r) = 6*r**2. Give u(d(z)).
1176*z**4
Let x(l) = 2*l**2 - 23*l. Let h(z) = z**2 - 2*z - 14. Let a be h(6). Suppose -a*d + 9*d = -14. Let w(i) = -38*i + d*i + 25*i. What is x(w(k))?
2*k**2 - 23*k
Suppose 5*r = 5*y + 5, -5*r - 5*y + 6*y + 25 = 0. Suppose 5*z = a - r + 2, -3*a + 25 = -2*z. Let w(q) = a - 3 + q - 6. Let c(b) = 13*b. Calculate c(w(h)).
13*h
Let y(q) = 198516*q**2 + 3*q. Let m(h) = -752*h. What is y(m(x))?
112261592064*x**2 - 2256*x
Let g(c) = -5*c**2. Let o(w) = -w - 2. Let u be o(-3). Let n be 5 - (u - 4/4). Let q(l) = 3*l + 4*l - 3*l - n*l. What is q(g(y))?
5*y**2
Let l(n) = 217*n**2 - 348*n - 3. Let z(m) = -2*m. Give l(z(j)).
868*j**2 + 696*j - 3
Let d(n) = n. Let j be ((-9)/(-18))/((-1)/(-4)). Let u(x) = 133*x - 133*x + 63*x**j. Determine u(d(a)).
63*a**2
Let k(u) = -4*u**2. Let w(p) be the third derivative of -77*p**4/2 - 9*p**3/2 + 95*p**2. Let a(y) = 71*y + 2. Let o(l) = -27*a(l) - 2*w(l). Give k(o(m)).
-19044*m**2
Let o(k) = 61*k - 101. Let s(q) = -290*q**2. Determine o(s(u)).
-17690*u**2 - 101
Let s(w) = 16*w. Suppose 0 = 12*c - 7*c - 60. Let x(v) = c - 9 + 2*v - 3. Determine s(x(f)).
32*f
Let x(p) = 64*p + 348. Let v(q) = -22*q - 123. Let y(h) = 17*v(h) + 6*x(h). Let i(c) = -3*c. Determine y(i(a)).
-30*a - 3
Let t(u) = -554853*u**2 + 198*u. Let h(x) = -2*x. What is t(h(s))?
-2219412*s**2 - 396*s
Let d(b) be the third derivative of -b**4/24 + b**3/3 + 18*b**2. Let w(i) be the first derivative of i**2 - 7. Give d(w(g)).
-2*g + 2
Let c(b) = -b**3 + 4*b**2 - 3*b + 2. Let x be c(3). Let s(d) = d**2 + d**x - 7*d**2. Let r(z) be the first derivative of -z**3/3 - 403. Give s(r(f)).
-5*f**4
Let l(z) = -z**3 + 12*z**2 + 9. Let t be l(12). Let w(s) = -5*s - 3*s - t*s - 9*s. Let g(f) be the third derivative of f**5/60 + f**2. What is w(g(q))?
-26*q**2
Let b(x) = -2*x. Let u(p) be the first derivative of 5445*p**2/2 + 4380. Determine b(u(k)).
-10890*k
Let z(s) = -s**3 - 19*s**2 - 21*s + 20. Let b be z(-21). Let y(l) = -1343 + b - 6*l**2. Let f(u) = -17*u**2. Determine y(f(j)).
-1734*j**4
Let n(r) = 162021566*r**2. Let w(s) = -2*s. Determine n(w(h)).
648086264*h**2
Let g(j) = -88*j + 18. Let t(r) = 34*r - 7. Let f(a) = -7*g(a) - 18*t(a). Let q(b) = 651*b. Determine f(q(s)).
2604*s
Let m(z) be the first derivative of 38*z**2 - 246. Let t(h) = 5*h**2. Give t(m(k)).
28880*k**2
Let s(h) = 35*h. Let n = 43 + -41. Let b = 71 - -448. Let t(p) = 519 + n*p - b. What is t(s(a))?
70*a
Let n(a) = -268*a**2. Let z(i) = 91111*i**2. Calculate z(n(u)).
6543956464*u**4
Let q(s) = 5115 + 8*s - 5115 - 96*s**2. Let j(h) = 32*h**2 - 3*h. Let z(a) = -8*j(a) - 3*q(a). Let x(l) = -2*l. What is x(z(v))?
-64*v**2
Let t(q) = 20241*q**2 - 65*q. Let v(d) = 63*d**2. What is t(v(m))?
80336529*m**4 - 4095*m**2
Let i(k) = k**2 + 6429*k - 1. Let f(c) = -9*c. What is f(i(y))?
-9*y**2 - 57861*y + 9
Let r(j) be the first derivative of -3646*j**3/3 - 819. Let u(z) = z**2. What is u(r(m))?
13293316*m**4
Let z(m) = -30*m. Let n(b) be the first derivative of b**4/3 + 56*b + 51. Let l(v) be the first derivative of n(v). What is l(z(s))?
3600*s**2
Let i(k) = 24424*k**2 - 48769*k**2 + 2 + 24406*k**2. Let t(u) = -3*u. Determine i(t | {
"pile_set_name": "DM Mathematics"
} |
13*n**2 + 3. Let j(r) be the second derivative of u(r). What is j(8)?
-5
Let v(w) = 3*w**2 - 57*w - 48. Let a(y) = 7*y**2 - 137*y - 97. Let k(h) = 2*a(h) - 5*v(h). Determine k(14).
4
Let y(w) be the first derivative of w**3 + 13*w**2 - 17*w + 1339. Determine y(-9).
-8
Let y(m) = -8*m**3 - m. Let u(d) = -2*d**2 - 3*d - 4. Let b be u(-1). Let l = b - 2. Let p = 4 + l. Determine y(p).
9
Suppose -86*p + 182*p = 0. Let g(y) = 55*y - 6. Calculate g(p).
-6
Let o(h) = 6*h + 4. Let c(z) = 2*z**2 + 53*z - 28. Let s be c(-27). Let j be (-8 - 5/5)/(3/s). Let t(b) = 2. Let p(a) = j*o(a) - 6*t(a). Give p(-1).
-18
Let t(p) = 5*p - 1. Let m be -2*2/(-8)*4. Suppose 9*q - 6*q = 5*h + 5, 4*q - h = 1. Suppose -d - m*a - 5 = q, -d + 14 = d - 4*a. Determine t(d).
4
Let q(y) be the first derivative of 45*y**2/2 - 278*y + 1613. Calculate q(6).
-8
Let r(p) = p + 5. Let j(s) = -s + 12. Let z be j(9). Suppose 2 = -4*a + 14. Let t = a - z. Determine r(t).
5
Let y(q) = q**2 + 12*q - 47. Let u be -23 - -32*(2 + (-56)/32). Calculate y(u).
-2
Let v(u) = 13*u - 6. Let p(k) = -3*k + 1. Let c(s) = s - 5. Let x be c(6). Let a(w) = x*v(w) + 4*p(w). Determine a(2).
0
Let i(o) be the second derivative of -o**6/120 - 2*o**5/15 - 7*o**4/24 - 4*o**3/3 + 65*o**2/2 + 24*o. Let d(y) be the first derivative of i(y). Determine d(-7).
-8
Let m(u) = -u**3 + 5*u**2 - 44*u + 79. Let t be m(2). Let v(l) be the first derivative of -9 - 1/3*l**t + l**2 - 2*l. Give v(-3).
-17
Let f(j) = -j**3 + j**2 + 35*j - 29. Let c = -9773 + 9779. Give f(c).
1
Let t(i) = -2*i**3 - 4*i**2 - 2*i. Let a be t(-2). Let w be 79 - (-8)/(10/(-5)). Let n(y) = -y**2 + 2*y + w - 147 + 75. Calculate n(a).
-5
Let c(b) be the third derivative of b**5/60 + 7*b**4/12 + 2*b**3/3 + 1944*b**2 + b. Determine c(-6).
-44
Suppose -k - 2*n + 10 = 0, 5*n + 5 = -3*k + 6*n. Let v be -2 + -1 + 2 - -3. Let o(c) = -5*c**2 + c**v - 1 + 5*c**2 - 2. Give o(k).
-3
Let n(h) = h**3 - 6*h**2 + h - 6. Let k be n(6). Let p(g) = -41*g**2 - 2*g - 3. Let w(z) = 21*z**2 + z - 2. Let t(c) = p(c) + 2*w(c). Calculate t(k).
-7
Suppose 115 = 67*x - 354. Let q = 2 - -6. Let s(n) = 8*n**2 - n - 2 + 3*n - q*n - n**3. What is s(x)?
5
Let n be 481/37 + 3*-3. Let g(i) = i**2. Let a(p) = 2*p**2 - 1. Let f(b) = -2*a(b) + 5*g(b). Give f(n).
18
Let w = 13788 + -13785. Let u(a) = 3 - a**2 + 5*a - 1 - 3. What is u(w)?
5
Let v(d) = -2*d - 3. Let p(k) = k**2 - 44*k + 157. Let f be p(4). Give v(f).
3
Suppose 17*q - 28 = 13*q. Let l(i) = -q*i + 1 + 5*i - 2*i + 0*i. Give l(-1).
5
Let o(g) = -13*g - 163. Let y(b) = b**3 - 105*b**2 - 317*b + 11. Let j be y(-3). Give o(j).
-33
Let i(f) = -f - 107. Let s(a) = 3*a - 108. Let k(q) = -3*i(q) + 2*s(q). Calculate k(-11).
6
Let t be ((-10)/6)/((-370)/1332). Let m(w) = w**2 + 22*w - 164. Determine m(t).
4
Suppose -575*u - 96 = -279*u - 280*u. Let m(r) be the third derivative of 0*r + 1/24*r**4 - r**2 + 0 - 7/6*r**3. What is m(u)?
-13
Let x(g) = 10*g + 1. Let f be 9 + -2 + 0 + 561/(-51) - 1. Determine x(f).
-49
Let l(u) = 21*u - u**2 + 8*u - 6 + 13*u - 35*u. Suppose -5 = -p - 0. Give l(p).
4
Let w(n) be the second derivative of -n**4/12 + 7*n**3/3 - 4*n**2 + 460*n + 1. Determine w(6).
40
Let r be (-54)/(-14) - (-76)/532. Let m(j) be the first derivative of 2*j**3/3 - 2*j**2 + 3*j + 74. Calculate m(r).
19
Let y = 19 + -12. Let u(o) = -149*o**2 + 26*o - 562. Let k(i) = -16*i**2 + 3*i - 60. Let m(b) = -28*k(b) + 3*u(b). Calculate m(y).
1
Let m(q) = 211*q**3 + 209*q**3 - 421*q**3 - 2*q + 4 + 4*q**2 + 9*q. Calculate m(6).
-26
Let y(z) = z**2 - 11*z + 6. Let w(g) = -47*g + 20*g - 4 + 19*g. Let d be w(2). Let x = 30 + d. Give y(x).
-4
Let z(q) be the second derivative of q**5/20 - 3*q**4/2 + 65*q**3/6 - 5*q**2/2 + 15*q + 31. Determine z(13).
-5
Let w(q) be the first derivative of 23*q**2 + 283*q + 888. What is w(-6)?
7
Let n(x) = x**3 + 10*x**2 + 9*x - 5. Let l = -7 - -12. Suppose 4*y = d + 10, l*d - 3*y + 110 = 2*y. Let c = 17 + d. Determine n(c).
-5
Let z(c) = -c**3 - 6*c**2 - 2*c - 7. Let m = 301 - 307. Give z(m).
5
Suppose -5*x + 2*l = -11, -5*l - 16 = 15*x - 16*x. Let q(r) = 5*r**2 - 2*r + 2. Calculate q(x).
5
Let o(w) = -22*w**2 + 2. Let c be o(1). Let y be c/(-30) + (-17)/3. Let v = 2 + y. Let s(z) = -z**3 - 5*z**2 + 2*z + 4. Give s(v).
-20
Suppose -3 = -4*k - 3*n, -5*k + 0*n + 1 = n. Suppose k = -18*x - 50 + 158. Let o(p) = p**3 - 6*p**2 - 7. Determine o(x).
-7
Let v(d) = 30*d + 213. Let q be v(-7). Let g(a) = 6*a**2 + 3*a**2 - 4*a**2 + a - 3*a**3 + 2*a**q - 4*a**2 - 5. Let r = 0 + 0. What is g(r)?
-5
Suppose -8*u = -u + 3*u. Suppose 0 = 4*v, -z - v + 0*v + 1 = u. Let a(h) = 13*h**3 - h + 1. What is a(z)?
13
Let p(c) = 4*c**2 + 0 - 3*c**2 + c + 2. Suppose -d - 2*q = -45, 3*q - 40 - 8 = -d. Suppose -m - d*h = -37*h + 1, 2*m - 3*h = -9. Determine p(m).
8
Let z(h) be the second derivative of h**5/60 - h**4/3 - h**3/3 + 5*h**2 - 2*h. Let g(l) be the first derivative of z(l). Suppose -5*b + 20 = -0*b. What is g(b)?
-18
Let r(z) = -184*z + 12. Let y(j) = 136*j - 9. Let q(t) = 8*r(t) + 11*y(t). Calculate q(-3).
-75
Let y(o) = -17*o + 3. Let x(b) = b**2 - b + 1. Let w(s) = x(s) + y(s). Give w(10).
-76
Let u(w) be the third derivative of w**4/24 + 5*w**3/6 - 19*w**2. Suppose 5*t + 176 - 44 = 2*p, 3*p - 193 = 5*t. Let k = -68 + p. Calculate u(k).
-2
Let g(a) = a**2 + 4*a + 8. Let h = 397 + -393. Let d(u) = -u**2 - 5*u - 8. Let i(w) = h*g(w) + 5*d(w). Suppose 0 = -0*f + 3*f + 21. Give i(f).
6
Suppose t = 0, 12 = 2*u + 2*u + 2*t. Let x(l) = -l**2 - 10 - 11*l - 2 + u. Let k be 5 + -21 - (-1 - 8 - -4). Determine x(k).
-9
Let v(i) = 2*i + 3. Let c(r) = r**2 + 2*r + 3. Let y be c(-1). Let k be ((1 - 1)/2)/((-4)/y). Let m be (-1*3 + k)*(-20)/12. What is v(m)?
13
Let o(m) = 3*m + 2. Let w(v) = -21 - 18 + 59 - 25 - 5*v. Let g be (-5 - -1)/(2 - 1). Let y(d) = g*w(d) - 7*o(d). Determine y(7).
-1
Let k(i) = 9*i + 3. Let l(j) = 5*j. Let b(c) = k(c) - 3*l(c). Suppose 13 = q + 6. Suppose q + 3 = 5*u. Give b(u).
-9
Suppose -2*f - f + 19 = -p, 20 = -5*p. Suppose f*i = 7*i - 4. Suppose i*y = -3*y - 3*r - 20, -5*r - 10 = 5*y. Let b(t) = -t - 4. Calculate b(y).
3
Let h(z) = z**2 - 11*z + 2. Let v be h(11). Let f(k) = 8*k**2 + k**v - k**3 - 5*k + 6 + 0*k + 4*k. Let s be (-9)/21 - 17/(119/(-66)). Give f(s).
-3
Let a(z) = z**3 - 5*z**2 + z + 1. Suppose 2*w + 5*g = -40, 18 = -5*w + 4*w - 2*g. Let k be ((-208)/w)/4 + (-2)/10. What is a(k)?
6
Let k(z) = z**3 + 5*z**2 + 2*z. Let i(j) = -7 + 48*j + 9 + 4*j**2 - 6. Let y be i(-12). What is k(y)?
8
Let g(h) = 3*h - 1. Let u(j) be the third derivative of j**6/120 + j**5/30 - j**4/6 + 2*j**2 + 8. Let s be u(-3). Calculate g(s).
8
Suppose -i = 4*d - 19 - 51, 5*d - 75 = 5*i. Let y(f) = -f**3 + 18*f**2 - 19*f + 33. Determine y(d).
-1
Let f(n) be the first derivative of -n**3/3 + 5*n**2/2 + 6*n + 1. Suppose 9*k = 4*o + 66, 1474 - 1450 = 4*o. What is f(k)?
-44
Let q(j) = -j**3 + j - 2. Suppose 36 = -n + 13*n. Suppose 6*x + 5*z = 3*x + 6, -6 = -3*x - n*z. What is q(x)?
-8
Suppose 0 = 29*k - 30*k. Let g(j) be the first derivative of 4*j - 1/4*j**4 + 1/3*j**3 + 0*j**2 + 12. Calculate g(k).
4
Let u(b) = b**3 - 11. Let r = -73 + 78. Suppose -r*h + 26 = 16. Suppose -3*k = h*k + 20, -k - 4 = -o. Give u(o).
-11
Let f(x) = -65*x - 31. Let d(m) = -23*m - 10. Let y(o) = -17*d(o) + 6*f(o). Let w = 17 + -7. What is y(w)?
-6
Let y(p) = 2*p + 1 - p + p**3 - 2*p. Let g(i) = i - 6. Let o be g(3). Let k be (-2)/(8/o) + (-77)/28. Determine y(k).
-5
Let w(l) be the third derivative of 23*l - 1/120*l**6 - l**2 + 0 - 3/20*l**5 + 1/3*l**3 - 1/3*l**4. What is w(-8)?
2
Let m(f) be the first derivative of -9*f + 1/2*f**2 + 69. Calculate m(4).
-5
Let d = 5501 - 5501. Let r(n) = 3*n**2 - 3*n**2 - n**2 - 3*n - 18 + 2*n. Determine r(d).
-18
Suppose -5*m + 14 = -d - 17, -26 = -4*m + 2*d. Let c(j) = j**3 - 5*j**2 - 5*j - 10. Give c(m).
-4
Let r(n) = 3 + 4*n - 6 - 22 + 7. Determine r(7).
10
Let r(n) = 43*n + 26*n**2 + n**3 - 186 + 248 - 17*n - 2*n**2. Calculate r(-23).
-7
Let y(u) = 5*u - 139. Let s(p) = -p**2 + 289*p + 1497. Let b be s(-5). Calculate y(b).
-4
Let o(i) be the third derivative of -i**6/60 + 2*i**5/15 - 13*i**4/24 + 5*i**3/6 + 649*i**2. Calculate o(2).
-5
Let y(f) be the first derivative of f**6/120 + f**5/15 - f**4/24 - 7*f**3/6 + 53*f**2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
182?
True
Is 55614648 a multiple of 498?
True
Does 531 divide 142776873?
True
Does 5 divide 42734619?
False
Does 12 divide 41997744?
True
Is 98961710 a multiple of 5?
True
Is 19 a factor of 7093061?
True
Does 160 divide 59755840?
True
Is 15 a factor of 32414879?
False
Is 1495 a factor of 221152360?
True
Is 166494265 a multiple of 28?
False
Is 507774060 a multiple of 15?
True
Is 24563507 a multiple of 122?
False
Is 11090756 a multiple of 19?
True
Is 288444 a multiple of 6?
True
Does 45 divide 308610?
True
Does 47 divide 8841781?
True
Is 2301624 a multiple of 78?
True
Is 61341201 a multiple of 53?
False
Does 39 divide 12714702?
True
Does 17 divide 1328699503?
False
Does 133 divide 35843512?
False
Does 26 divide 26802542?
True
Does 14 divide 7874160?
True
Is 1803843413 a multiple of 20?
False
Is 766 a factor of 378244672?
True
Does 23 divide 112713731?
True
Is 1358 a factor of 176834951?
False
Does 70 divide 11376960?
True
Does 2842 divide 120673266?
False
Does 10 divide 8913082?
False
Does 11 divide 66839259?
False
Is 14 a factor of 670435528?
True
Is 129 a factor of 21973108?
False
Is 233188683 a multiple of 2962?
False
Does 201 divide 1181762097?
False
Does 3 divide 9140078?
False
Is 1611921 a multiple of 48?
False
Does 65 divide 16930875?
True
Is 1739 a factor of 303847068?
False
Does 28 divide 499515464?
True
Is 539446641 a multiple of 1217?
False
Does 13 divide 63144489?
False
Does 225 divide 585601?
False
Does 30 divide 18378589?
False
Does 144 divide 60330816?
True
Does 72 divide 137496016?
False
Is 18 a factor of 1250581474?
False
Is 21178207 even?
False
Is 400443264 a multiple of 624?
True
Does 4 divide 300113165?
False
Does 6 divide 519910925?
False
Is 1137160 a multiple of 1573?
False
Is 342895048 a multiple of 75?
False
Is 489570941 a multiple of 47?
True
Does 9 divide 120500811?
True
Is 139 a factor of 178167672?
False
Does 434 divide 68019518?
True
Is 24814080 a multiple of 1728?
True
Is 13 a factor of 1658316597?
False
Does 50 divide 105208164?
False
Is 165 a factor of 308209770?
True
Is 353 a factor of 12742937?
False
Is 487 a factor of 613940933?
True
Is 23 a factor of 302664848?
False
Does 243 divide 6337197?
True
Is 49043544 a multiple of 2706?
True
Is 18878964 a multiple of 66?
False
Is 735 a factor of 18320610?
True
Is 370 a factor of 15728330?
True
Does 1916 divide 838960836?
True
Is 645387354 a multiple of 9?
True
Does 223 divide 100353568?
True
Is 68709490 a multiple of 1642?
True
Is 225053080 a multiple of 980?
True
Is 4 a factor of 213371880?
True
Is 266 a factor of 1728734?
True
Is 52371104 a multiple of 1432?
True
Is 2707925693 a multiple of 9374?
False
Does 120 divide 97948917?
False
Does 2585 divide 218780834?
False
Is 1740 a factor of 1535730960?
True
Is 2521499258 a multiple of 163?
False
Is 122224855 a multiple of 2821?
False
Does 8 divide 21558248?
True
Does 15 divide 673425891?
False
Is 34 a factor of 28503152?
True
Is 594 a factor of 103361346?
True
Is 150828339 a multiple of 10?
False
Is 12794 a factor of 3142449486?
True
Is 164272810 a multiple of 65?
True
Does 130 divide 34861840?
True
Is 194909436 a multiple of 5404?
False
Is 300 a factor of 6820353?
False
Is 2282127639 a multiple of 627?
True
Does 204 divide 5365404?
True
Is 35848920 a multiple of 408?
True
Does 186 divide 254079348?
True
Is 1695960 a multiple of 4?
True
Does 8933 divide 198804762?
False
Is 1212603282 a multiple of 1062?
True
Is 16 a factor of 1270239100?
False
Is 97 a factor of 825426544?
True
Does 1148 divide 34690264?
True
Does 15 divide 68767665?
True
Does 40 divide 1863739?
False
Is 4 a factor of 15222?
False
Is 40991550 a multiple of 15?
True
Does 499 divide 49571658?
True
Is 471 a factor of 82314786?
True
Is 2677 a factor of 160784458?
False
Is 3 a factor of 799218?
True
Does 1950 divide 650432250?
True
Does 338 divide 915450310?
False
Does 15 divide 59154720?
True
Is 4078386 a multiple of 26?
True
Is 629828061 a multiple of 29?
True
Is 134637629 a multiple of 20?
False
Does 154 divide 37304911?
False
Does 6610 divide 533631910?
True
Does 8014 divide 263492306?
True
Is 72029350 a multiple of 165?
False
Is 83544306 a multiple of 41?
True
Does 146 divide 1681875032?
True
Is 618085155 a multiple of 1515?
True
Does 1239 divide 96774244?
False
Is 1836 a factor of 36946859?
False
Does 34 divide 102268461?
False
Is 26769118 a multiple of 24?
False
Is 41 a factor of 26881259?
False
Does 2114 divide 101081401?
False
Is 394438572 a multiple of 385?
False
Does 199 divide 8347851?
True
Does 2390 divide 736034015?
False
Does 8 divide 585065392?
True
Does 157 divide 27544551?
True
Is 1086 a factor of 1495122264?
True
Does 6 divide 6668268?
True
Is 42 a factor of 16892820?
True
Is 1759952020 a multiple of 107?
False
Does 94 divide 1282934278?
True
Is 64838278 a multiple of 132?
False
Is 569637949 a multiple of 2266?
False
Is 326 a factor of 1564474?
True
Is 61203103 a multiple of 758?
False
Is 44335391 a multiple of 7?
False
Is 29 a factor of 316845329?
True
Does 10 divide 299458385?
False
Is 375 a factor of 563797875?
True
Is 9928251 a multiple of 7?
False
Is 2159 a factor of 155825940?
False
Is 4 a factor of 94111922?
False
Does 72 divide 1458803?
False
Does 247 divide 1677624?
True
Does 131 divide 100414775?
True
Is 124 a factor of 1696125?
False
Is 58886938 a multiple of 8?
False
Is 55560450 a multiple of 11325?
True
Is 1643 a factor of 3138977788?
True
Does 541 divide 1805534090?
False
Is 2231268 a multiple of 26?
True
Is 1500868888 a multiple of 202?
True
Is 917400440 a multiple of 611?
False
Is 112 a factor of 492041172?
False
Is 2770053918 a multiple of 81?
False
Is 39084658 a multiple of 16?
False
Is 305 a factor of 59648850?
True
Does 16 divide 493969461?
False
Is 1042714 a multiple of 205?
False
Is 285378660 a multiple of 252?
True
Is 1065115870 a multiple of 35?
True
Is 76950260 a multiple of 673?
False
Does 36 divide 30979152?
True
Is 18 a factor of 9201834?
True
Is 737161888 a multiple of 34?
True
Is 140175183 a multiple of 449?
False
Is 3023 a factor of 311450621?
True
Is 28646520 a multiple of 420?
True
Does 15 divide 1295268465?
True
Is 5 a factor of 223188630?
True
Does 1118 divide 49782154?
False
Does 637 divide 10265892?
True
Is 2276731 a multiple of 63?
False
Does 14 divide 85344077?
False
Is 52 a factor of 55337105?
False
Is 583281949 a multiple of 1517?
True
Is 23 a factor of 231322477?
True
Does 435 divide 1747528492?
False
Does 773 divide 211216419?
False
Is 161432306 a multiple of 44?
False
Is 18 a factor of 39410874?
True
Is 31 a factor of 999130?
True
Does 3299 divide 8057531?
False
Is 977 a factor of 308771450?
False
Does 292 divide 300557475?
False
Is 76 a factor of 138618984?
True
Is 5 a factor of 844601517?
False
Is 165 a factor of 733532330?
False
Does 227 divide 16062513?
False
Does 9 divide 6158820870?
True
Is 27190689 a multiple of 12?
False
Is 791 a factor of 26010453?
True
Does 1890 divide 103284774?
False
Is 901 a factor of 26904761?
True
Is 11 a factor of 2440661894?
True
Is 3307 a factor of 133753100?
False
Is 61363158 a multiple of 17?
False
Is 125 a factor of 160527243?
False
Does 386 divide 7075766?
True
Is 50 a factor of 41750992?
False
Is 23 a factor of 3029836?
True
Is 275 a factor of 26232480?
False
Is 10626960 a multiple of 16?
True
Is 480 a factor of 18414715?
False
Is 121 a factor of 349861941?
True
Does 4 divide 1098120504?
True
Does 61 divide 10964591?
False
Is 8435 a factor of 1863696380?
True
Does 52 divide 94933008?
False
Is 92 a factor of 561614736?
True
Is 1159 a factor of 14284441?
False
Does 539 divide 629602712?
False
Is 669 a factor of 120451685?
False
Does 1657 divide 432891092?
False
Is 5 a factor of 6607411?
False
Is 35570833 a multiple of 1493?
False
Is 46194073 a multiple of 2?
False
Is 204458952 a multiple of 1853?
False
Does 25 divide 10124875?
True
Is 1609 a factor of 215450277?
False
Does 3 divide 260146933?
False
Is 9 a factor of 5896649?
False
Does 83 divide 40737876?
False
Does 44 divide 93457012?
True
Is 86 a factor of 877511664?
True
Is 43711512 a multiple of 312?
True
Does 1710 divide 87217?
False
Is 538 a factor of 109483000?
True
Is 498319125 a multiple of 123?
True
Is 147 a factor of 108831744?
True
Is 8066010 a multiple of 10?
True
Is 1202632920 a multiple of 32 | {
"pile_set_name": "DM Mathematics"
} |
(f)?
4
Suppose -2*x - 5*k = 0, 2*x + k = -0*x. Suppose 269*l - 270*l + 439 = x. What is the remainder when l is divided by 34?
31
Let a = -526 - -522. What is the remainder when ((-282)/(-18))/(a - 150/(-36)) is divided by 19?
18
Suppose -9 = 2*l - 5*m, -4*l + 18 = -3*l + 5*m. Suppose 39 = -0*s + l*s. Let k(y) = 16*y - 52. What is the remainder when k(8) is divided by s?
11
Suppose 2*h - 4*f = -8*f - 118, 3*h + f = -192. Suppose 2*v = -v - 240. Let s = h - v. Calculate the remainder when s is divided by 3.
0
Let p = -611 + 1068. Calculate the remainder when 1372 is divided by p.
1
Suppose -4*x - y - 3 = -10, 21 = 2*x - 3*y. Suppose 0 = -2*q + 2*k + 192, x*q + k = 89 + 195. What is the remainder when q is divided by 27?
14
Suppose 9*m + 5*m + 22*m = 5328. Calculate the remainder when 1644 is divided by m.
16
Let g(a) = a**2 - 2*a + 21. Let n be ((-2790)/(-75))/((-3)/(-20)*2). Let x = -113 + n. Calculate the remainder when g(0) is divided by x.
10
Let x = -4870 + 5499. Calculate the remainder when x is divided by 70.
69
Let x be 1/4 - 8238/24. Let y be 4/6 - (x/21 - 0). Suppose y = -4*a + 185. What is the remainder when a is divided by 9?
6
Let t(j) = j**3 - 5*j**2 - 7*j - 10. Suppose 3*p - 3 = x + 2*x, 0 = -p + 4*x - 2. What is the remainder when t(9) is divided by (1/(5/(-42)))/(p/(-10))?
41
Calculate the remainder when 12459/39 + (-6)/13 is divided by 207.
112
Let m(u) = 16*u - 249. Calculate the remainder when m(52) is divided by 150.
133
Suppose -331*v = -284*v - 3486225 + 989209. What is the remainder when v is divided by 253?
251
Let x = -1 - -5. Suppose 0 = -d - 2*p + 23, 36*p = -4*d + 37*p + 56. Let j(t) = 3*t - 30. Calculate the remainder when j(d) is divided by x.
3
Let q = -1222 - -1256. Let n(x) = x**2 - 2*x - 2. Calculate the remainder when q is divided by n(5).
8
Suppose 0 = 2*q - 5 + 3. What is the remainder when 24 is divided by ((-4)/12)/q - (-68)/6?
2
Suppose 5*x + 364 = 3*t, 0 = -t - 5*x + 76 + 32. What is the remainder when t is divided by (-792)/(-40) - 3/(-15)?
18
Let r(v) = 2*v**2 - 52*v + 199. What is the remainder when 64 is divided by r(22)?
18
Let y(h) = 3*h**3 - 9*h**2 + 5*h + 2. What is the remainder when y(8) is divided by 48?
42
Let t(r) = -7*r. Let p be t(4). Calculate the remainder when 30 is divided by (2 + 120/p)*-7.
14
Let z be 5611/(-124) + (1 - 7/4). Let k = -43 - z. Suppose 4*o - m - 71 = 0, -k*m = 11 - 2. What is the remainder when 83 is divided by o?
15
Let i be 246/21 + ((-200)/35 - -6). What is the remainder when 2106/i - (-1)/(-2) is divided by 11?
10
Suppose 0 = 25*a - 21*a + 2*i - 30976, -4*i = 5*a - 38720. Calculate the remainder when a is divided by 250.
244
Let s(t) = 2*t**2 + 17*t + 21. What is the remainder when 236 is divided by s(-9)?
26
Suppose 2*i - 143 - 95 = 0. Suppose -735 - 14541 = -57*x. Let r = -256 + x. Calculate the remainder when i is divided by r.
11
Let b = 1037 - 805. Suppose 30*g = -82 + b. Calculate the remainder when g is divided by 3.
2
Let k(n) = n**3 + 3*n**2 + 4*n + 2. Let y be k(-2). Let g(v) = -1 + 52*v**2 + 59*v**2 + 2*v - 99*v**2. What is the remainder when g(y) is divided by 16?
11
Let m(l) = 7*l**3 - 9*l**2 + 5*l + 63. What is the remainder when 278 is divided by m(3)?
92
Suppose -57*s + 162*s - 102900 = 0. Calculate the remainder when 2945 is divided by s.
5
Suppose -3*q - 12*x + 5488 = -8*x, 5*x = -10. What is the remainder when q is divided by 36?
32
Let k = -42 + 45. Suppose 3*m = 12, 0 = -2*j + 2*m - k*m + 160. Calculate the remainder when j is divided by 4 + (-6 + 5)*-37.
37
Let f(p) be the third derivative of 5*p**4/12 + 59*p**3/6 - 47*p**2 - 2*p. Calculate the remainder when f(0) is divided by 16.
11
Suppose 8*b - 435 = -3*a + 11*b, -725 = -5*a + 4*b. Suppose -150*v = -a*v - 175. What is the remainder when 44 is divided by v?
9
Suppose -2*y + 96 = -2*v, 0 = -4*v - 0*v + 2*y - 192. Let j = 88 + v. Calculate the remainder when 51 is divided by j.
11
Let n(y) = 3*y + 6. Let r be n(3). Calculate the remainder when (80/(-15))/8*-96 + -5 is divided by (5/r)/(2/36).
5
Let g(f) be the first derivative of f**4/2 + 6*f**3 - f**2/2 + 5*f - 3. Suppose -103 + 337 = -26*p. Calculate the remainder when 95 is divided by g(p).
11
Let g = 52 + -43. Let s(v) = 5*v - 4 + 1 + 7*v**2 - g*v. Calculate the remainder when 163 is divided by s(-2).
31
Suppose 0 = 2*l + 5*v + 100 - 89, 5*v + 25 = 0. What is the remainder when 3482 is divided by l?
3
Let g be 1 - (4*-2 + -1). Suppose 0 = -k - 6 + g. Suppose 135 = k*l - l. What is the remainder when 222 is divided by l?
42
Suppose -11*w + 6*w - 520 = -2*h, -1064 = -4*h + 4*w. Suppose -6*g + h = 4*g. Suppose 0 = 3*b - 2*b - 105. Calculate the remainder when b is divided by g.
24
Let l(p) = -2*p**2 + 3*p + 3. Let t be l(3). Let w be (-16310)/t + 3/(-9). Calculate the remainder when w/30 + 1 + (-9)/15 is divided by 25.
16
Let r = 3 - -1. Suppose 0 = -4*g + 16 - r. What is the remainder when 99 is divided by 0 + 0 + g/(9/75)?
24
Let b = 63 + -49. Let k(s) = s**2 - 2*s - 5. Let j be k(3). Calculate the remainder when b is divided by 7 - 6/9*(-9)/j.
2
Let b = -68 - -104. Let p be -4 - (3 + -151)/2. Suppose -67*l = -p*l + 207. What is the remainder when l is divided by b?
33
Suppose 3*j = 7*j - 1848. Let g(h) = h**3 - 94*h**2 - 603*h + 358. What is the remainder when j is divided by g(100)?
56
Let d(s) = 215*s**2 + 26*s - 53. Calculate the remainder when d(5) is divided by 51.
46
Let a = 12268 - 12111. Calculate the remainder when 3293 is divided by a.
153
Suppose -11 + 2 = 3*x. Let g(a) = 44*a + 53. Let w(n) = -21*n - 26. Let o(k) = x*g(k) - 7*w(k). Calculate the remainder when o(10) is divided by 8.
5
Suppose 14*t - 16*t - 2*c + 12 = 0, 2*t = 2*c. Suppose 2*d = -2*f + 110, 3*d - 6*d + t*f = -177. What is the remainder when d is divided by 22?
13
Let l(w) = w + 5. Let y be (-6)/4*(-24)/(-18). Let t(p) = p**3 - 29*p**2 - 63*p + 49. Calculate the remainder when t(31) is divided by l(y).
0
Let x(k) = 4*k**3 + 26 - 19*k - 37 + 7*k + 31*k**2. What is the remainder when x(-8) is divided by (-9)/(-6)*(-16)/(-3)?
5
Let w(i) = i + 8. Let o be w(-6). Suppose k = -4*q - 4*k + 18, q = -o*k + 3. Calculate the remainder when (10/(-12) - (-8)/48)/(13/(-741)) is divided by q.
3
Calculate the remainder when 929 is divided by ((36/1)/1)/((-594)/(-5049)).
11
Let f be (-4)/(6/3)*-1. Suppose -f*p - 313 + 1191 = 0. Suppose 205 = 4*s - p. Calculate the remainder when s is divided by 41.
38
Suppose 25 = 4*u - 2*q + 3, -4*u + 29 = 5*q. Suppose -3*l = -4*h - 88, 7*l + 3*h - 12 = u*l. Calculate the remainder when 68 is divided by l.
20
Let h = 979 - 869. What is the remainder when h is divided by 93?
17
Let c be (-89 - 113) + -6 + (0 - -1). Let f = c - -242. What is the remainder when f is divided by 20?
15
Suppose 125406 = 77*a + 33622. What is the remainder when a is divided by 109?
102
Suppose -m - q + 194 = 0, -2*q = -3*q + 5. Suppose 3*j = 2*r + m, j - r - 4*r - 50 = 0. What is the remainder when j is divided by 17?
14
Suppose l = -3*z + 22, 3*z - 26 = -2*l + 30. Let m(j) = j**2 + 8*j - 1. Let c be (-25)/10*(12/(-15))/1. What is the remainder when l is divided by m(c)?
15
Let v(w) = 14*w**2 + 1474*w + 4416. What is the remainder when 442 is divided by v(-3)?
82
Let f(d) = 2*d**2 - 12*d - 14. Let x(z) = 2*z**3 + 17*z**2 - 11*z - 4. Calculate the remainder when f(10) is divided by x(-9).
10
Let c be (-6)/((-1148)/189 - -6). Suppose 5*d = 89 + c. Calculate the remainder when d is divided by 5.
4
Let w be ((-1)/(-2))/(39/(-78))*-201. Suppose -74*f + 77*f - w = 0. Calculate the remainder when 870 is divided by f.
66
Let g(j) be the third derivative of j**5/60 - j**4/24 - 2*j**3/3 + 20*j**2. Let v = 32 - 3. Calculate the remainder when v is divided by g(4).
5
Suppose 3*i - 182 = -4*x, 8*x = 5*x - 14*i + 160. Calculate the remainder when 964 is divided by x.
40
Suppose x + 3 + 13 = 3*w, -20 = -3*w + 5*x. Suppose -w*v - i + 78 = 0, 3*v - 8*v - 2*i = -81. Calculate the remainder when 119 is divided by v.
14
What is the remainder when 631 is divided by (-30)/(-36) + (-6897)/(-342)?
1
Let r(k) be the first derivative of -k**4/4 - 5*k**3/3 - 6*k**2 - 9*k - 50. What is the remainder when 89 is divided by r(-4)?
20
Suppose 10213 - 68579 = -134*l + 60628 - 20370. What is the | {
"pile_set_name": "DM Mathematics"
} |
v (b) -0.1 (c) 2/5
a
Let s be ((-2)/12)/(1 - 0). Let h = -231 - -223. Which is the closest to h? (a) -0.2 (b) s (c) -0.5
c
Let x be (-161)/1656 + (2 - 48/27). What is the closest to -3/23 in -2, -1/6, x?
-1/6
Let u = 2 - 4. Suppose -5*v + 2*d = -d, 2*v - 2*d = 4. Let s be -1 + 749/490 - 6/14. Which is the nearest to u? (a) v (b) -2/5 (c) s
a
Let k be 4/16*2*2 + -123. Let v = k + 122. Which is the nearest to v? (a) -3/2 (b) 1/2 (c) 2/11
c
Let k = 3.58 + -3.66. Which is the closest to 1? (a) 2/7 (b) 3 (c) k
a
Suppose 15 + 19 = l - 3*p, -5*p = 3*l - 130. Let n = -25 + l. Let o be n/15 + (-1 - 0). Which is the nearest to 1? (a) -13 (b) 2/7 (c) o
b
Let x = 37 - 29. Suppose -x*f - 6 = -2*f. Let v(y) = y**3 + 4*y**2 + 4*y + 2. Let d be v(-2). What is the closest to f in d, -5, 0.5?
0.5
Let s = -23/10 + 5/2. Let a be (-1)/20 - 1110/1800. What is the closest to s in a, 1, -0.2?
-0.2
Let x = 11 + -9. Suppose 4*h = x*h + 6. Let y be (5 + -2)*h/(-18). What is the closest to y in -0.2, -2/7, 2/17?
-2/7
Let z = -0.1 + 0. Let r = 3.4 + -3. Let m = -30.5 - -31. Which is the nearest to z? (a) r (b) -0.5 (c) m
b
Let l = 8 + -8. Let t = 55 - 55. Suppose 6*b = 8*b + 4*v - 10, 2*b - 2*v + 20 = t. What is the closest to 7/5 in l, 0.1, b?
0.1
Let n(c) = 47*c + 146. Let l be n(-3). Let p = -1374/7 + 196. What is the closest to 0 in p, l, -4/5?
p
Suppose 4*j - 9*j = 15. Let m be j/(-6) - 6/9. Suppose -5*r - 2*t + 35 = -0*t, -4*r = 2*t - 30. What is the closest to -0.1 in -4/3, r, m?
m
Let m be ((-21)/14)/(1 - 19/4). Which is the nearest to 1.9? (a) m (b) -3 (c) 0
a
Let i be (-23)/(-5) - (-28)/70. Suppose 4 + 6 = -i*b. Let u be 3 + 219/(-45) - b. What is the closest to -1 in 2, u, -1/7?
-1/7
Let j be ((-16)/(-176))/(2*3/(-12)). Let u = 4 + 0. Let g = u + -5. What is the closest to g in j, -3/4, -0.2?
-3/4
Let t = -11.7 + 15. Let q = 3.4 - t. What is the nearest to -1 in q, 3/8, -5?
q
Let x = 7 - 19/3. Suppose -25*g = -20*g + 10. Let m = -6 - -7. Which is the closest to g? (a) x (b) 0.1 (c) m
b
Let b = -2/63 + -16/63. What is the nearest to -2 in 1/6, -1, b?
-1
Let p = 12 - 14. What is the nearest to -43 in 2/3, 0.1, p?
p
Let w = -187 + 190. Let r = -0.17 - -4.17. Which is the nearest to 2/3? (a) r (b) 1/4 (c) w
b
Let g = 0.142 + 4.858. Which is the nearest to 0.2? (a) 1 (b) 52 (c) g
a
Let o be 1086/(-8) - 6/((-144)/(-6)). Let g = 133 + o. What is the nearest to 2/9 in g, -0.5, -2/11?
-2/11
Let s be (3 + 84/(-32))*(14 - 6). Which is the nearest to 2? (a) -3/2 (b) -1/4 (c) -2/7 (d) s
d
Let f = -91 + 88.2. Let g = -2.8 - f. What is the closest to g in 0.4, 0.3, -1?
0.3
Let v = -7.7 - -8.7. Let f = 1.16 + -0.16. What is the nearest to v in f, -3/5, -0.1?
f
Let v = -0.108 - -3.108. Which is the closest to 0.1? (a) 3/7 (b) v (c) -9
a
Let b = 39 - 79. Let v = 43 + b. What is the nearest to 1 in 3/5, v, 4?
3/5
Let f = 1350 + -12148/9. What is the closest to 0.1 in -11, -2, 5, f?
f
Suppose 0 = 5*d + 1 - 1. Which is the nearest to -0.2? (a) 4 (b) 1/6 (c) d
c
Let p = -80 - -79.6. Let n = -26/77 - -5/77. Let r = n + -35/33. What is the nearest to p in -1, r, 4/7?
-1
Let d be (1/17)/(-1)*(-16)/8. Let i be (-16)/(-90) - 20/50. Which is the nearest to -1? (a) d (b) i (c) 3
b
Let m = -0.1 + -0.1. Let n = 0.1358 - 1.1358. Which is the closest to 1/4? (a) n (b) 5 (c) m
c
Suppose -5*x - 3*r + r = -6, -3*x - 4*r = -12. Let y = 2 - 2.01. Let k = y + -4.99. Which is the closest to x? (a) k (b) -2/3 (c) -0.4
c
Let j = -331 + 329.8. What is the closest to 0 in j, -0.06, 0?
0
Suppose 0 = -7*v + 3*v - 12. Let g = 28 - 86/3. Which is the nearest to g? (a) v (b) -5 (c) 2/7
c
Let m be (0 - -1)*1/(-3)*-9. Let z = 0.7 - 1. Let g = z - -0.4. What is the nearest to g in m, 2, 0.1?
0.1
Let n = 17.82 - -0.18. Let o = n + -17.6. What is the nearest to 2/7 in o, 2/21, 4?
o
Let z be 7 - 1442/210 - (-38)/(-60). What is the nearest to -1 in 0, z, -1/4, -2/5?
z
Let u = 0.13 + 0.07. Let p = 0.1 + u. Let h = -0.1 + p. Which is the nearest to -1? (a) h (b) 0 (c) 1/7
b
Let n = -717/14 + 103/2. Let d = -2917/11 - -265. Which is the nearest to -0.1? (a) n (b) d (c) -2
b
Suppose 0 = 2*y - 6 + 2. Suppose y*s = -3 - 3. Let j = -7 - -7.2. Which is the closest to j? (a) s (b) 0 (c) 1
b
Let m = -11 + 9. Let t = -0.24 - 0.26. Which is the nearest to -2/9? (a) m (b) 1/4 (c) t
c
Let a = 1473 + -1473.4. What is the closest to 0 in 0.6, a, -3?
a
Let n be (-155)/22 + 11/242. Which is the nearest to -0.1? (a) 3 (b) n (c) 1/8 (d) -1/3
c
Let s be 12/(-66) - (-16)/44. Which is the nearest to -0.2? (a) -0.3 (b) s (c) 3
a
Let u be (-16)/((-480)/(-18))*10/(-36). Which is the nearest to -2/3? (a) -0.1 (b) u (c) -0.9
c
Let t = 2.6 + -2.6. Let p = -138 + 143. What is the nearest to t in -1/4, 0, p?
0
Let l = 140.9 - 141. Let g be ((-27)/7)/3 + (-4)/(-14). What is the closest to l in -0.5, -4, g?
-0.5
Let h(r) = r**3 - 5*r**2 - r + 6. Let y be h(5). Let j = 8.203 - 8.3. Let n = -0.103 + j. What is the closest to n in 0.2, 0.1, y?
0.1
Let x = 148 - 1330/9. Let o = -131/2 - -64. Suppose d + 1 - 2 = 0. Which is the closest to x? (a) 2/7 (b) d (c) o
a
Let f(l) = -3*l**3 + 4*l + 3. Let v be f(-1). Which is the closest to v? (a) 4 (b) 17 (c) 3/5
c
Let b = -1 + 1.1. Let x = -17 - -28. Let k be x/22*8/(-14). What is the closest to b in 2/5, -1/4, k?
2/5
Let a = -266 - -267. What is the nearest to 2/5 in 1/5, a, 4?
1/5
Let i = -2.96 + -0.04. Let y = -0.03 + 3.03. Let g = 2 + y. What is the closest to 0 in g, i, -1?
-1
Let d = 0.05 - -0.25. Let h = 284 - 283. Let n = -1 - -4. Which is the closest to 0? (a) n (b) d (c) h
b
Let w be ((24/(-27))/((-32)/48))/4. Let d = -0.08 + 5.08. Let g = -0.1 + 1.1. Which is the nearest to g? (a) 3 (b) w (c) d
b
Suppose 0 = 2*b - 8*b + 18. What is the closest to 0 in -2/3, -2/17, -13, b?
-2/17
Let p = 62.9 + -62.7. Let s = -73/138 - -2/69. Which is the closest to -6? (a) 5 (b) s (c) p
b
Let g be (6/4 + -2)/(21/(-14)). Let p(w) = w**3 - 3*w**2 - 4*w - 1. Let s = -6 + 10. Let n be p(s). What is the closest to g in n, -2, -2/5?
-2/5
Suppose -20*s + 290 = -15*s. Let f be 4/(-14) - s/(-154). Let r = 0.1 + 0.1. What is the nearest to -2/13 in r, 0.1, f?
f
Let c = 121 + -125. What is the nearest to 1/4 in 0, c, 3, 1/11?
1/11
Let k = 16 + -14. Let w = -1.4 + -0.6. Which is the nearest to w? (a) -3 (b) k (c) -4
a
Let k = 524 - 3674/7. Let f(o) = o**3 - 3*o**2 + 2. Let j be f(2). What is the closest to j in -2/3, -1/10, k?
k
Let p = -103.9 + 105. Let w = 0.1 - p. What is the closest to 2 in -3, -5, w?
w
Let q = 0.049 - -7.951. Let f be 30/(-20)*(-2)/6. Which is the closest to f? (a) q (b) 1 (c) -4
b
Let j = 1479.96 - 1480. What is the closest to -1 in 5, j, 1.6?
j
Let t = 0.05 + 1.95. Let h = t - 3. Let q = 0.9779 + -1.0779. What is the nearest to q in 1/5, h, -0.3?
-0.3
Let d be ((-1)/10)/(-11 - (-520)/48). Which is the closest to 3/2? (a) 0 (b) d (c) -7
b
Let n be (-2255)/(-180) - (4/1)/(-2). Let z = 59/4 - n. Let j = 3.92 - -0.08. Which is the nearest to z? (a) 0.2 (b) j (c) -1/2
a
Let y(z) = -z**3 - 7*z**2 - 3*z + 8. Suppose -l - 3*h - 5 = 0, 4*l = -0*l + 3*h - 20. Let i be y(l). Which is the nearest to -1? (a) i (b) -5 (c) -3/5
c
Let w = -4 - -7. Let d = 3534 + -3539. Let g = -0.2 + 0.3. What is the nearest to g in w, d, 1/2?
1/2
Let g = 0.025 + -2.125. Let k = g + 1.9. Which is the closest to k? (a) 4 (b) 5 (c) -0.3
c
Let z = -0.06 - -5.06. Let l be (-8)/(-20)*-1*(0 - 1). Suppose -2*o + 5 = 3. Which is the closest to l? (a) z (b) o (c) 0
c
Let v be (-6)/(-15) - 18/20. Suppose 64*u - 68*u = -5*g + 12, 0 = 4*g - 4*u - 12. Which is the closest to g? (a) v (b) -5 (c) 2
a
Let j = 3 + 33. Let g = 35.4 - j. Which is the closest to -0.1? (a) -0.5 (b) g (c) -3
a
Let k = -1.32 + 0.32. Let j = 2.9 + k. Let c = j - -2.1. What is the nearest to 1 in c, 1/8, -0.4?
1/8
Let f = -1937 - -1935. What is the closest to -3 in 0.4, 0.1, f, 1/3?
f
Let a be (10 + -2)*(-655)/(-35). Let r = a + -150. What is the closest to r in 2/5, 4, -3?
2/5
Let t = -13 - -13.03. Let h = -4.97 - t. Let d = 43 + -303/7. Which is the nearest to 0? (a) 4 (b) d (c) h
b
Let q = -0.3 + -0.7. Let l = q - 1. Let f be (-1)/(((-17)/85)/(3/25)). | {
"pile_set_name": "DM Mathematics"
} |
55601?
-255455565
In base 4, what is 22 + -1000230121232?
-1000230121210
In base 5, what is 1324040 + 311122?
2140212
In base 15, what is 543 - 640?
-ec
In base 4, what is -202101 + -13312?
-222013
In base 12, what is 8a2a - -5b35?
12963
In base 12, what is -232 + 5258?
5026
In base 5, what is 103141 + -3401244?
-3243103
In base 10, what is 174 + -188384?
-188210
In base 14, what is 16 + -ba9100?
-ba90c8
In base 2, what is -1 + -101111100100010110?
-101111100100010111
In base 15, what is -3b - -7561a?
755ce
In base 14, what is -da + -152224?
-152320
In base 12, what is -67 - -249603?
249558
In base 10, what is 2623968 + 118?
2624086
In base 9, what is -586440 - -40?
-586400
In base 8, what is 16622670 - -2?
16622672
In base 15, what is -38179 - -3a?
-3813e
In base 4, what is 20102032323 - -1?
20102032330
In base 13, what is 2b82cbc - 0?
2b82cbc
In base 4, what is -20103102 - 3111?
-20112213
In base 9, what is 18008 + -8181?
8717
In base 11, what is -16221 + 352?
-1597a
In base 2, what is -11000111 + 1010010010010110?
1010001111001111
In base 5, what is 332 + -110124312?
-110123430
In base 15, what is 10 - -2d9c0?
2d9d0
In base 7, what is 132205566 + -41?
132205525
In base 4, what is 31322022 + -2223?
31313133
In base 16, what is 2a - -18a65b?
18a685
In base 11, what is 4431770 - -49?
4431809
In base 14, what is 20 + 84ccab?
84cccb
In base 2, what is -11 - 1000001101001011011?
-1000001101001011110
In base 14, what is -5cdab797 + 1?
-5cdab796
In base 3, what is -1222110201122 + -1222?
-1222110210121
In base 2, what is 1010 - 1100011100101010001001?
-1100011100101001111111
In base 9, what is 2 + -22011381?
-22011378
In base 15, what is -15a743 + -34?
-15a777
In base 2, what is 101101001011 - 1010001010001?
-100100000110
In base 16, what is -167 + 26cfb?
26b94
In base 5, what is -24443413 + -244?
-24444212
In base 12, what is -2294752 - -2?
-2294750
In base 7, what is 2333 + 303135?
305501
In base 8, what is -13374013754 + 5?
-13374013747
In base 16, what is -e + -4a9f3?
-4aa01
In base 15, what is 33c - -aa90a?
aac47
In base 5, what is -142411 + 11310?
-131101
In base 14, what is -5cb - -83b52?
83565
In base 5, what is 24 + -334202201?
-334202122
In base 12, what is a41a80 + 6?
a41a86
In base 6, what is 15553 + 1031541?
1051534
In base 3, what is 1111210000210 - -2222?
1111210010202
In base 3, what is -10 + -10022202002201?
-10022202002211
In base 12, what is 1 + b367b44?
b367b45
In base 5, what is 11340143010 + -2?
11340143003
In base 5, what is -121100 - -40114?
-30431
In base 14, what is 35 - 407d82?
-407d4b
In base 2, what is -11001110011011100 + 1000011100?
-11001101011000000
In base 12, what is -29581 - -1b4?
-29389
In base 4, what is 12310 - 1132203?
-1113233
In base 9, what is -13037812 + 5?
-13037806
In base 9, what is -32887143 - -1?
-32887142
In base 11, what is 22955383 - -1?
22955384
In base 13, what is b0 - 281a7?
-280c7
In base 5, what is -331 + -341222013?
-341222344
In base 5, what is 24 - -10213433321?
10213433400
In base 11, what is 3 - 805a6551?
-805a6549
In base 7, what is 5 + -2114455?
-2114450
In base 10, what is -2968457 - 27?
-2968484
In base 9, what is -17462377 - 5?
-17462383
In base 15, what is -165 + -a70?
-bd5
In base 6, what is -14424511 + -1422?
-14430333
In base 12, what is 29700 - 1890?
27a30
In base 16, what is 1 + 59e28?
59e29
In base 3, what is 2210110220001 - -212?
2210110220220
In base 11, what is -860009 - 20?
-860029
In base 12, what is 4063045 - -1?
4063046
In base 10, what is 11 - 4611385?
-4611374
In base 6, what is -324 + -1504221?
-1504545
In base 15, what is 4900d + 4?
49012
In base 7, what is -13 - -346620411?
346620365
In base 7, what is -20 - 25440022?
-25440042
In base 8, what is 6723761 + -6?
6723753
In base 10, what is 0 - -26031104?
26031104
In base 14, what is 27b345 - 34?
27b311
In base 2, what is 111101001110001000111 + 10?
111101001110001001001
In base 4, what is 133 + 3133331020?
3133331213
In base 3, what is -2000011111021 + 21?
-2000011111000
In base 2, what is -1001010100100 + -101010000110100?
-110011011011000
In base 12, what is -196b30961 - 2?
-196b30963
In base 8, what is -5 + 373601771?
373601764
In base 8, what is 3 - -44371066?
44371071
In base 15, what is 25c1150 + -5?
25c114a
In base 10, what is -12712469 - -4?
-12712465
In base 11, what is -388a77 + -8?
-388a84
In base 3, what is 0 + -20200212001121020?
-20200212001121020
In base 13, what is 304 - -777b?
7a82
In base 2, what is 10 + 11001101011010110110?
11001101011010111000
In base 16, what is 5 - -23a00?
23a05
In base 10, what is -284 + -16244?
-16528
In base 11, what is -78 - -939498?
939420
In base 15, what is 3adb9 - 18e?
3ac2a
In base 14, what is -4235d5 + 2?
-4235d3
In base 11, what is -1482 + -217730?
-219102
In base 5, what is 123 + 132202312?
132202440
In base 9, what is -38 - 1248354?
-1248403
In base 3, what is 10 + 1222011002212211?
1222011002212221
In base 16, what is -2c2242 + 2f?
-2c2213
In base 12, what is 225 + 179a6a?
17a093
In base 5, what is 210223100 - -24?
210223124
In base 7, what is 23 + 232345?
232401
In base 7, what is -45 + -1622240?
-1622315
In base 13, what is 2 + 6c9520?
6c9522
In base 7, what is -4666223500 - -4?
-4666223463
In base 4, what is -202310333023 - -11?
-202310333012
In base 10, what is -13411 - -402?
-13009
In base 5, what is 111444 - -102431133?
103043132
In base 9, what is 1415 - 2715?
-1300
In base 14, what is -76d - c088?
-c817
In base 12, what is 526b + 13237?
184a6
In base 15, what is -3da4 + -2?
-3da6
In base 10, what is -3609712 + -61?
-3609773
In base 10, what is 9688985 - 5?
9688980
In base 4, what is -1231010 + -131111201?
-133002211
In base 9, what is 73801560 - 2?
73801557
In base 13, what is -5376a - -21?
-53749
In base 13, what is 63638 - 5b?
635aa
In base 4, what is -120 + 111030022301?
111030022121
In base 7, what is -3 + 12514402?
12514366
In base 11, what is 4 + 45a32864?
45a32868
In base 4, what is 11203 + 12003022?
12020231
In base 3, what is -201120200110111002 - 0?
-201120200110111002
In base 9, what is -6 + -123373412?
-123373418
In base 9, what is -5 - -8043645?
8043640
In base 16, what is 27cac71 + 5?
27cac76
In base 13, what is 124237 - 25?
124212
In base 10, what is -23142110 - 4?
-23142114
In base 6, what is -20354353 - -15?
-20354334
In base 9, what is -3677048673 + 2?
-3677048671
In base 3, what is -20000001 + -22021200111?
-22111200112
In base 16, what is 95e4989 - 6?
95e4983
In base 11, what is -4a72 - 10121?
-15093
In base 15, what is -19d2a + -124e?
-1b079
In base 15, what is -5 - b448b?
-b4491
In base 14, what is 13 + 24cb91a?
24cb92d
In base 15, what is 14 + 3e1ed0?
3e1ee4
In base 13, what is 2a200 - -43?
2a243
In base 15, what is d6e4 + -6c?
d677
In base 5, what is 2 - -302421202?
302421204
In base 2, what is 1001110111010010011000001 + 100010?
1001110111010010011100011
In base 15, what is 4 + -2111aa?
-2111a6
In base 5, what is 44243222 - 31?
44243141
In base 16, what is b26 + c8a?
17b0
In base 11, what is 18460424 + -3?
18460421
In base 5, what is 3 + -411110441?
-411110433
In base 3, what is 21022022222220010 + -12?
21022022222212221
In base 3, what is -221222 + -20100122122?
-20101121121
In base 6, what is 304342 + -240103?
24235
In base 11, what is -396 + 239455?
23906a
In base 2, what is -111100101 + 100111010000100?
100110010011111
In base 3, what is -1002100001 - -20?
-1002022211
In base 9, what is -112 - -174476?
174364
In base 14, what is 33db + -d389?
-9d8c
In base 2, what is -1000011100110110110110010 - 11?
-1000011100110110110110101
In base 12, what is 5b55a01 - -16?
5b55a17
In base 5, what is 141112 - -11312?
202424
In base 16, what is 7 + 87ad8c?
87ad93
In base 13, what is 135188 + 6a?
135225
In base 7, what is 361350 + -10551?
350466
In base 9, what is 2640166 - 5?
2640161
In base 16, what is a1a0 + -9d?
a103
In base 9, what is 11 - -604215?
604226
In base 9, what is 20 - -11173158?
11173178
In base 4, what is -1022 + -213211012231?
-213211013313
In base 7, what is -12423 - 244660?
-260413
In base 13, what is ac5b4 + 22?
ac606
In base 4, what is 110113221111 - 2?
110113221103
In base 6, what is 2150351141 + 5?
2150351150
In base 2, what is -100 - 110101110011000100111010110?
-110101110011000100111011010
In base 9, what is -46 | {
"pile_set_name": "DM Mathematics"
} |
hundred thousands digit of 12111590?
1
What is the hundreds digit of 359493?
4
What is the thousands digit of 70494?
0
What is the hundred thousands digit of 3769971?
7
What is the ten thousands digit of 262361?
6
What is the tens digit of 1293284?
8
What is the thousands digit of 116484?
6
What is the tens digit of 11231471?
7
What is the millions digit of 37171423?
7
What is the hundreds digit of 799586?
5
What is the hundreds digit of 49383?
3
What is the units digit of 79853?
3
What is the units digit of 5406256?
6
What is the hundred thousands digit of 524554?
5
What is the millions digit of 10570688?
0
What is the hundreds digit of 3056591?
5
What is the units digit of 2816869?
9
What is the ten thousands digit of 1854767?
5
What is the hundred thousands digit of 494619?
4
What is the tens digit of 731080?
8
What is the units digit of 1309702?
2
What is the thousands digit of 1239312?
9
What is the thousands digit of 60223?
0
What is the thousands digit of 4008245?
8
What is the hundreds digit of 806969?
9
What is the hundred thousands digit of 490868?
4
What is the hundred thousands digit of 1434464?
4
What is the hundreds digit of 3086540?
5
What is the thousands digit of 8423563?
3
What is the millions digit of 7038984?
7
What is the tens digit of 321682?
8
What is the units digit of 1818798?
8
What is the millions digit of 14199745?
4
What is the hundred thousands digit of 408297?
4
What is the hundred thousands digit of 703676?
7
What is the tens digit of 406479?
7
What is the hundreds digit of 22831841?
8
What is the ten thousands digit of 7170200?
7
What is the hundred thousands digit of 172208?
1
What is the hundreds digit of 34928770?
7
What is the ten thousands digit of 1224710?
2
What is the hundred thousands digit of 708055?
7
What is the hundreds digit of 2233174?
1
What is the millions digit of 1476736?
1
What is the units digit of 3719561?
1
What is the units digit of 405750?
0
What is the thousands digit of 30693584?
3
What is the hundreds digit of 752364?
3
What is the thousands digit of 394323?
4
What is the hundred thousands digit of 11336742?
3
What is the hundreds digit of 870638?
6
What is the thousands digit of 5890810?
0
What is the ten thousands digit of 253908?
5
What is the tens digit of 953630?
3
What is the millions digit of 4665892?
4
What is the millions digit of 26983041?
6
What is the thousands digit of 8098160?
8
What is the thousands digit of 406669?
6
What is the thousands digit of 4698?
4
What is the ten thousands digit of 417182?
1
What is the thousands digit of 240560?
0
What is the units digit of 4836016?
6
What is the millions digit of 2385331?
2
What is the tens digit of 191616?
1
What is the ten thousands digit of 810485?
1
What is the hundred thousands digit of 404595?
4
What is the hundreds digit of 1189986?
9
What is the thousands digit of 340193?
0
What is the tens digit of 2392398?
9
What is the hundreds digit of 233404?
4
What is the thousands digit of 532044?
2
What is the units digit of 2813864?
4
What is the ten millions digit of 41392044?
4
What is the ten thousands digit of 377842?
7
What is the hundred thousands digit of 2202659?
2
What is the millions digit of 3696959?
3
What is the tens digit of 5168562?
6
What is the units digit of 18381562?
2
What is the thousands digit of 140795?
0
What is the tens digit of 13498786?
8
What is the ten thousands digit of 14252034?
5
What is the thousands digit of 160704?
0
What is the units digit of 1294?
4
What is the millions digit of 2357762?
2
What is the hundreds digit of 83607?
6
What is the tens digit of 4459111?
1
What is the units digit of 7095517?
7
What is the millions digit of 5522175?
5
What is the tens digit of 100372?
7
What is the units digit of 9732572?
2
What is the tens digit of 362070?
7
What is the tens digit of 96969?
6
What is the tens digit of 1131771?
7
What is the units digit of 986856?
6
What is the millions digit of 30911506?
0
What is the ten thousands digit of 346992?
4
What is the hundred thousands digit of 198866?
1
What is the tens digit of 108194?
9
What is the hundred thousands digit of 1078507?
0
What is the units digit of 5033359?
9
What is the ten thousands digit of 74713?
7
What is the tens digit of 732588?
8
What is the ten thousands digit of 22182758?
8
What is the hundred thousands digit of 2370125?
3
What is the hundred thousands digit of 6200814?
2
What is the hundred thousands digit of 710218?
7
What is the hundreds digit of 415332?
3
What is the hundred thousands digit of 924554?
9
What is the ten thousands digit of 1069610?
6
What is the ten thousands digit of 4057012?
5
What is the hundred thousands digit of 180547?
1
What is the units digit of 11962675?
5
What is the millions digit of 26626521?
6
What is the hundred thousands digit of 214513?
2
What is the ten thousands digit of 1326316?
2
What is the tens digit of 2302725?
2
What is the units digit of 1617215?
5
What is the hundred thousands digit of 258356?
2
What is the tens digit of 1683777?
7
What is the millions digit of 13100257?
3
What is the ten thousands digit of 2427922?
2
What is the millions digit of 8671836?
8
What is the hundreds digit of 1098281?
2
What is the hundreds digit of 5449672?
6
What is the hundreds digit of 548405?
4
What is the ten thousands digit of 3554274?
5
What is the ten thousands digit of 588751?
8
What is the tens digit of 1452192?
9
What is the thousands digit of 487716?
7
What is the hundred thousands digit of 7756689?
7
What is the ten thousands digit of 4059532?
5
What is the thousands digit of 1880116?
0
What is the ten thousands digit of 420934?
2
What is the hundreds digit of 1455988?
9
What is the ten thousands digit of 331826?
3
What is the millions digit of 2088738?
2
What is the ten thousands digit of 666778?
6
What is the thousands digit of 1029317?
9
What is the hundred thousands digit of 19716190?
7
What is the tens digit of 1007242?
4
What is the tens digit of 643943?
4
What is the ten thousands digit of 95453?
9
What is the hundreds digit of 2814353?
3
What is the hundred thousands digit of 402352?
4
What is the ten thousands digit of 1100825?
0
What is the thousands digit of 1765715?
5
What is the thousands digit of 211331?
1
What is the hundreds digit of 489902?
9
What is the ten thousands digit of 125484?
2
What is the units digit of 2356775?
5
What is the tens digit of 3533206?
0
What is the units digit of 188864?
4
What is the hundred thousands digit of 517475?
5
What is the ten thousands digit of 13883?
1
What is the thousands digit of 331155?
1
What is the hundred thousands digit of 354391?
3
What is the hundreds digit of 87440?
4
What is the thousands digit of 7656362?
6
What is the hundreds digit of 10944?
9
What is the ten thousands digit of 373497?
7
What is the units digit of 8713702?
2
What is the millions digit of 5165408?
5
What is the units digit of 5744485?
5
What is the thousands digit of 562098?
2
What is the thousands digit of 5236291?
6
What is the hundred thousands digit of 606703?
6
What is the thousands digit of 4238610?
8
What is the hundred thousands digit of 305834?
3
What is the tens digit of 20938337?
3
What is the ten millions digit of 12912318?
1
What is the tens digit of 2605410?
1
What is the thousands digit of 5966540?
6
What is the hundreds digit of 248361?
3
What is the hundreds digit of 94706?
7
What is the units digit of 1392867?
7
What is the hundred thousands digit of 1665406?
6
What is the ten millions digit of 36042416?
3
What is the tens digit of 201638?
3
What is the hundred thousands digit of 1082471?
0
What is the tens digit of 1571901?
0
What is the thousands digit of 2427533?
7
What is the ten thousands digit of 5130637?
3
What is the units digit of 1565246?
6
What is the tens digit of 1574033?
3
What is the millions digit of 2227801?
2
What is the millions digit of 4703245?
4
What is the hundred thousands digit of 275474?
2
What is the ten thousands digit of 971458?
7
What is the hundred thousands digit of 404239?
4
What is the thousands digit of 939755?
9
What is the hundred thousands digit of 268107?
2
What is the units digit of 232576?
6
What is the thousands digit of 28170617?
0
What is the ten thousands digit of 12975069?
7
What is the mi | {
"pile_set_name": "DM Mathematics"
} |
ided by 71
-6/71
Divide -3346 by -478.
7
Calculate -1620 divided by -4.
405
Divide 1 by 56.
1/56
3682 divided by 1
3682
876 divided by -6
-146
3732 divided by -933
-4
What is 2 divided by 129?
2/129
Divide 21 by -27.
-7/9
What is -1495 divided by 65?
-23
Calculate -29520 divided by -1230.
24
Divide -2760 by -120.
23
What is 6 divided by 30?
1/5
Divide -564 by -4.
141
What is -939 divided by -1?
939
Calculate 140 divided by -1.
-140
What is -143 divided by -4?
143/4
What is -638 divided by 58?
-11
What is -70 divided by -58?
35/29
Calculate 11 divided by 56.
11/56
What is -28220 divided by 5?
-5644
Calculate 25 divided by -23.
-25/23
Divide 4 by 727.
4/727
What is 1015 divided by 203?
5
What is 75 divided by 13?
75/13
What is -252444 divided by 4?
-63111
Divide -2 by 5.
-2/5
1351 divided by -5
-1351/5
-500 divided by -2
250
Calculate 3667 divided by -3.
-3667/3
What is 8212 divided by -2?
-4106
1674 divided by -279
-6
What is 0 divided by -1002?
0
192 divided by -24
-8
Calculate -1 divided by 69.
-1/69
Divide -5 by -14.
5/14
Calculate 558 divided by -3.
-186
What is -280 divided by 28?
-10
Calculate -59 divided by 59.
-1
Divide -2 by -63.
2/63
32 divided by -17
-32/17
Calculate 1692 divided by 36.
47
Divide -4 by -1286.
2/643
Divide 75 by -5.
-15
Divide 1572 by 4.
393
Calculate -47 divided by -18.
47/18
What is 1764 divided by 252?
7
Divide 7858 by 2.
3929
Divide -5 by 3167.
-5/3167
Calculate -60 divided by -27.
20/9
Divide 172 by 86.
2
Calculate 62 divided by -2.
-31
Calculate 3212 divided by -11.
-292
What is -18752 divided by -1172?
16
-811 divided by -1
811
Divide -430 by -4.
215/2
Calculate 13 divided by 37.
13/37
Calculate 1 divided by 536.
1/536
Divide 674 by 1.
674
Divide 436 by 7.
436/7
Divide 148 by -5.
-148/5
-17157 divided by -7
2451
Calculate 682 divided by -2.
-341
-2990 divided by 299
-10
Calculate 4551 divided by -37.
-123
Calculate -53 divided by -8.
53/8
What is -1440 divided by -16?
90
Divide -32 by -204.
8/51
Divide 1222 by -13.
-94
1444 divided by 2
722
What is 78 divided by 13?
6
Divide 1 by 50.
1/50
What is -754 divided by -13?
58
Calculate 180 divided by -10.
-18
Divide 8 by 47.
8/47
Calculate -150 divided by -30.
5
Calculate 944 divided by -4.
-236
Divide 27 by 3.
9
Divide -6380 by -6380.
1
What is -36 divided by 18?
-2
0 divided by -455
0
-2 divided by -45
2/45
What is 55 divided by 55?
1
What is -8778 divided by 798?
-11
What is -114 divided by 114?
-1
Calculate -625 divided by -7.
625/7
Divide 132 by -44.
-3
Divide -30 by 6.
-5
-258 divided by -2
129
Calculate 0 divided by 21.
0
Calculate -115 divided by -49.
115/49
Divide -10 by -5.
2
Divide -6468 by 1617.
-4
Divide 14510 by -1.
-14510
Calculate -5 divided by -4494.
5/4494
11725 divided by 25
469
Divide 1523 by 5.
1523/5
What is 796 divided by 4?
199
-256 divided by 32
-8
Divide -1497 by -5.
1497/5
Divide 191 by 2.
191/2
-980 divided by -196
5
Divide -1794 by 13.
-138
Calculate -103 divided by -4.
103/4
Calculate -78 divided by -3.
26
1868 divided by 5
1868/5
Calculate 5056 divided by 632.
8
Calculate 2 divided by 176.
1/88
What is 4314 divided by -1?
-4314
Calculate 8280 divided by 12.
690
Divide 3 by -18.
-1/6
-51 divided by -17
3
What is 36192 divided by 174?
208
-4 divided by -46
2/23
Calculate 9 divided by 967.
9/967
255 divided by -3
-85
What is -434 divided by -7?
62
What is -390 divided by -5?
78
440 divided by -88
-5
Divide -4 by 309.
-4/309
What is -45 divided by 93?
-15/31
2314 divided by 1157
2
What is -49 divided by -1?
49
Calculate -363 divided by -121.
3
Divide -6252 by -4.
1563
1650 divided by 5
330
140 divided by 1
140
2604 divided by 651
4
310 divided by 1
310
61 divided by -7
-61/7
1 divided by -1683
-1/1683
Calculate -589 divided by -19.
31
Calculate 70 divided by 5.
14
-531 divided by -4
531/4
2228 divided by 10
1114/5
What is 7 divided by 114?
7/114
0 divided by -796
0
What is 6910 divided by -2?
-3455
Calculate 5 divided by 51.
5/51
6501 divided by 3
2167
Calculate 251 divided by 6.
251/6
Divide -240 by 80.
-3
Divide 1200 by -5.
-240
Divide -16668 by 4.
-4167
Calculate 144 divided by 24.
6
What is 2483 divided by 2483?
1
-3 divided by -1508
3/1508
Calculate -87 divided by -87.
1
Calculate -585 divided by 1.
-585
-2 divided by 85
-2/85
What is -50 divided by -5?
10
Divide 105 by 18.
35/6
What is 1243 divided by -1243?
-1
Divide -12 by -3.
4
What is 0 divided by -234?
0
-4308 divided by -1436
3
Divide 68 by 48.
17/12
Calculate -1696 divided by -2.
848
Divide -12 by 26.
-6/13
What is 352 divided by 88?
4
What is -295 divided by -59?
5
Divide 7908 by -6.
-1318
-303 divided by -303
1
What is -684 divided by -38?
18
What is -7444 divided by -1861?
4
What is 948 divided by -4?
-237
-1772 divided by -5
1772/5
What is -1168 divided by -3?
1168/3
90 divided by 2
45
240 divided by -15
-16
Divide -5735 by -5.
1147
Divide -39 by 1.
-39
Calculate -735 divided by 5.
-147
What is 178 divided by 15?
178/15
Calculate -1620 divided by -540.
3
What is 20 divided by 4?
5
-1768 divided by 1
-1768
What is 2 divided by 50?
1/25
Divide -19795 by -5.
3959
What is -64 divided by -3?
64/3
What is 182 divided by 12?
91/6
What is 155 divided by 40?
31/8
-3750 divided by 150
-25
Divide -406 by -406.
1
105 divided by 1
105
Divide 190 by -2.
-95
Divide -30 by 8.
-15/4
Divide 7 by -159.
-7/159
Calculate -40245 divided by -8049.
5
What is 21465 divided by -7155?
-3
-16545 divided by -3309
5
What is 77 divided by -11?
-7
Calculate -354 divided by 59.
-6
9 divided by 1
9
2365 divided by 55
43
Divide 4797 by -117.
-41
Divide 1228 by -5.
-1228/5
What is 2 divided by -11?
-2/11
Calculate -19 divided by 5.
-19/5
Calculate -145 divided by -5.
29
Divide -56 by -28.
2
Divide 576 by 192.
3
What is -1 divided by 212?
-1/212
4 divided by 41
4/41
Divide -30 by 6.
-5
What is -922 divided by 922?
-1
Divide 3 by 345.
1/115
Divide -306 by -6.
51
Divide -5 by -405.
1/81
218 divided by 218
1
-15 divided by 16
-15/16
-58 divided by -12
29/6
Divide -3435 by 1145.
-3
What is 3 divided by -59?
-3/59
What is 95 divided by 95?
1
-4847 divided by 4
-4847/4
What is -291 divided by -3?
97
-1485 divided by 27
-55
Calculate 5 divided by 2381.
5/2381
Calculate 1728 divided by 96.
18
What is -313 divided by -3?
313/3
Divide -79 by -2.
79/2
-18 divided by 27
-2/3
Divide -442 by -4.
221/2
11 divided by -637
-11/637
-4 divided by -1337
4/1337
Calculate -11964 divided by -6.
1994
Calculate 4403 divided by 17.
259
-5160 divided by 20
-258
Calculate 2 divided by -703.
-2/703
306 divided by -51
-6
Calculate -61 divided by -61.
1
What is -10 divided by -54?
5/27
Calculate 11799 divided by -1311.
-9
122 divided by 2
61
Calculate 3 divided by 245.
3/245
What is 836 divided by 2?
418
Calculate 62328 divided by 6.
10388
10048 divided by 4
2512
1404 divided by -4
-351
0 divided by -47
0
What is -1701 divided by 5?
-1701/5
Divide -1074 by 2.
-537
Divide -888 by -4.
222
Divide -8892 by 9.
-988
Divide -3375 by -27.
125
What is 70 divided by -17?
-70/17
Divide 62640 by 6.
10440
What is -2980 divided by -2?
1490
Divide -14 by 6.
-7/3
3 divided by 33
1/11
32 divided by -977
-32/977
What is 11 divided by 85?
11/85
160 divided by 2
80
-48 divided by 31
-48/31
What is -1 divided by -132?
1/132
What is 4 divided by 14?
2/7
What is -18 divided by 3?
-6
What is -240 divided by 60?
-4
What is -9 divided by 207?
-1/23
Divide -573 by 573.
-1
What is -5 divided by 116?
-5/116
Calculate 664 divided by 23.
664/23
-42 divided by 42
-1
What is 3 divided by 150?
1/50
29744 divided by -4
-7436
What is 125 divided by 5?
25
What is -4296 divided by -1?
4296
What is 4 divided by -49?
-4/49
Divide -2314 by 178.
-13
-174 divided by 4
-87/2
Calculate -636 divided by -3.
212
Calculate 3312 divided by -414.
-8
What is 1786 divided by -38?
-47
-8 divided by 7
-8/7
159 divided by -7
-159/7
What is 1 divided by -17?
-1/17
-660 divided by -165
4
Calculate -19 divided by 20.
-19/20
Divide 291 by 97.
3
3342 divided by 2
1671
What is 2 divided by -66?
-1/33
Calculate 20298 divided by -34.
-597
Divide 4 by 1611.
4/1611
What is -5 divided by 1?
-5
4 divided by -331
-4/331
What is -68 divided by 1?
-68
1767 divided by 3
589
83 divided by -10
-83/10
Calculate 1038 divided by -6.
-173
Calculate -272 divided by -2.
136
What is -966 divided by -161?
6
What is | {
"pile_set_name": "DM Mathematics"
} |
Solve -6*y = -2*y + k - p, 0 = 5*y - 5*k for y.
3
Suppose -3*z = -3*z - 4*z. Solve 3*a - y - 12 - 3 = z, 0 = 4*y for a.
5
Suppose 0 = 2*n - 4*n. Suppose -3*k - 7 = 3*g - 46, n = 2*k - g - 26. Let z(h) = -h**2 + 12*h + 15. Let y be z(13). Solve v + 11 = y*o, o + o - k = 3*v for o.
5
Let k(z) = -2*z**2 - z + 19. Let i be k(-3). Solve -i*f - 4*y + 11 = -9, -2 = -y for f.
3
Suppose -5*x - 1 = d + 2*d, -3*d + 3 = 3*x. Solve d*a - 16 = -7*l + 3*l, -4*a + 5*l - 20 = 0 for a.
0
Suppose -14*h + 117 = 47. Solve -f = -b + h, -b + 4*f = 6*f - 2 for b.
4
Let n(s) = 2*s - 19. Suppose -38 = -3*u - 5. Let r be n(u). Solve -r*d - 20 = 5*v - 6, 5*d + 6 = -4*v for d.
2
Suppose -691*j - 12 = -697*j. Solve 0*c = -j*c + 2*t, 3*c + 5 = 2*t for c.
-5
Let r(g) = -g + 5. Suppose 0*l = 3*l. Let t be r(l). Suppose m = -t*m + 90. Solve 5*b + m = -5*u, -5*b + 1 = 6 for u.
-2
Let u = -87 + 92. Solve -3*y - y + 5*h = 6, u = y + 2*h for y.
1
Let p be (8/3)/((-104)/(-156)). Solve 0*y + 3*y = -3*d - 6, 0 = d - p*y + 2 for d.
-2
Let m be ((1 - 1)*-1)/1 + 2. Let n(s) = -8*s - 1. Let a be -1*4*(-3)/(-6). Let x be n(a). Solve -3*c - m*r + 2 = 5, -x = 5*r for c.
1
Suppose -53*b + 19*b = -19*b. Solve 0 = 4*g + c - 0*c + 19, b = -3*g + 4*c for g.
-4
Let n = 43 - 38. Let w(f) = 3*f**3 - f**2 + f - 1. Let m be w(1). Solve x + 4 = 3*x - m*b, n*b = 2*x + 2 for x.
4
Suppose 55*w - 49*w = 210. Solve 16 = c + 4*x, 5*c - w = -x - 12 for c.
4
Let h = -161 - -125. Let c = -33 - h. Solve -3*m = 2*d + d + 3, c*d = -m + 1 for d.
1
Suppose 2*n = 3*n. Let j = 169 - 174. Let r = n - j. Solve 4*w - r*a = -32 + 5, 2*a = -3*w - 3 for w.
-3
Let r be (-252)/693*(-22)/4. Solve 2*p + 9 = -r*v - 9, 2*p = -5*v - 30 for v.
-4
Let z(i) = 2*i**2 + 38*i - 8. Let d be z(-20). Solve -3*n = -4*u + d, -n + 26*u - 31*u + 21 = 0 for n.
-4
Suppose 3*f - 3*m + 0*m = 21, 2*f + 1 = -m. Solve f*y - 4*b = 4, 2*b = 4*y + y - 10 for y.
2
Suppose 45*q - 12 = -3*j + 49*q, -4*j + 38 = 2*q. Solve -6*x + 10*x - 5*f = 1, -5*x - j = 3*f for x.
-1
Let y(s) = s**3 - 6*s**2 - 15*s - 2. Let f be y(8). Let l(q) = q**3 - 5*q**2 - 7*q + 14. Let n be l(f). Solve -5*x = -3*u + 8, 4*u = -x - n - 12 for x.
-4
Let b(g) = -g + 3. Let i be b(-9). Suppose -i*z = -2*z - 40. Solve 2*q + q = -3*d - 12, -5*q - 29 = -z*d for d.
1
Let o be 2/(8/36 - 7/(-9)). Solve -4*x + o*x - 1 = -d, -3 = 3*d - 3*x for d.
-3
Let i(j) = -j + 10. Let q(u) = -u**3 - 10*u**2 - 10*u - 5. Let s be q(-9). Let d be i(s). Solve 0 = r - 2*c + 4, -r - c - 1 = -d for r.
2
Let w be 36/3*(-3)/(-9). Solve -z + 3*m - 17 = 0, -2*z - 5*m = -w*z - 29 for z.
-2
Suppose 0 = l - 5*d - 43, 5*l - 22 = d + 73. Solve -4*g - 10 - 2 = 0, 3*y + 5*g = -l for y.
-1
Let t(s) = -s**3 - 3*s**2 + 9. Let b be t(-2). Solve 0*l = 2*l + 2*h + 2, b*h + 12 = 2*l for l.
1
Let q(a) = 3*a**2 - 11*a - 11. Let l(x) = -2*x**2 + 5*x + 5. Let m(j) = 5*l(j) + 3*q(j). Let u be m(-6). Solve h + 20 = 4*k + 2*h, -u = -3*k + 2*h for k.
4
Let p be (-18)/(-18)*(-1 - -4). Solve p*l + 6 = -0, 0 = 3*n - 4*l - 5 for n.
-1
Let t(r) = -r**3 + 3*r**2 - r + 15. Let b be t(0). Solve 3*k + k = -4*g - 16, 2*g - 5*k = -b for g.
-5
Let l be (9 + 45/(-6))/((-6)/(-20)). Solve -l*i + 12 = -j + 2*j, 3*i - 3*j = 0 for i.
2
Suppose 3*w - p = 2*w + 2, 5*w + 4*p = 10. Suppose k + 2 + 1 = -w*v, 4*v + 20 = 0. Let s = -4 + k. Solve 0 = -s*j - j + 2*t + 18, 5*t = -3*j - 6 for j.
3
Let p(a) = 4*a**2 - a + 3. Let m be p(-2). Let q = m + -19. Solve 2*x - 2 = -q*r + x, 4*r - 16 = -5*x for r.
-1
Suppose -12 = -3*g, g + 36 - 10 = 5*z. Solve 0 = -2*v - 2*x - 6, v + 5*x - x = -z for v.
-2
Let w(r) = -106*r - 314. Let s be w(-3). Solve 2*n - q = 5, s*n - 5*q + 1 - 8 = 0 for n.
3
Suppose 6*i = -i - 42. Let t = -1 - i. Solve -3*b - t*a = -9, a = 2*b + 2*a + 1 for b.
-2
Suppose 3*g - 4*k = -8, 0 = g - 3*g + 5*k - 17. Suppose -5*p - 10 = -5*h, -g*p + h + 1 = -0*h. Solve 4*i + 4*l = 24, 5*l - 5 = 3*i + p for i.
3
Suppose 15*k - 19*k = 0. Suppose 4*j - 4 + k = 0. Let l(z) = z**3 - 1. Let x be l(j). Solve 5*d - u - u + 14 = x, -2*d - 17 = 3*u for d.
-4
Let d = 11 - 7. Solve d*j - 33 + 1 = 3*f, 30 = 2*j - 5*f for j.
5
Suppose -95*g + 127 = -158. Solve g*t - 5*t - 2*f = 14, 11 = 2*t - 3*f for t.
-2
Suppose r + 31 = 35. Solve -5*y - 13 = 4*i + 9, 0 = -2*i + r*y + 2 for i.
-3
Let b = -2306 + 2311. Solve 3*c - 13 = -5*q - 3, -c - b*q + 20 = 0 for c.
-5
Suppose 4*t - 4 + 16 = 0. Let r = t + 7. Solve -4*g - 8 = 0, 3*q + g = -10 - r for q.
-4
Let r be (2/3)/(1/3). Suppose 0 = -120*u + 128*u - 24. Solve 2*o - 10 = -0*o, 0 = -u*d + r*o - 10 for d.
0
Suppose -3*i = d - 26, -d = 22*i - 26*i + 37. Solve 0 = -2*p - 5*z + i, -11 = -4*p - z - 2 for p.
2
Let g be -10 - -1 - (-20 + -7). Let w(v) = v. Let r be w(7). Let z = g - r. Solve 5*b + z = p, 4*p = 2*b - 0*b + 8 for p.
1
Suppose -26 = -w + 2*i, 2*i + 0 = -w + 10. Suppose 0 = -10*j + 8*j + w. Solve -2*h - 3*v = 3, 2*v = -v - j for h.
3
Suppose 4*x = 28*u - 25*u + 18, 4*u - 1 = -3*x. Solve 2*w = 3*o - 9, -3 = -0*w + 4*w - x*o for w.
3
Suppose -2 - 2 = -y. Solve -3*p + y = -2*p, -3*p + 7 = -5*k for k.
1
Let m(t) = -2*t**2 - 24*t - 20. Let w be m(-10). Solve -r + 5*r = 4*s - 16, -5*s = -4*r - w for r.
0
Let n = 137 - 135. Let v be ((-32)/(-56) - (-8)/(-14))/2. Solve v = 4*u + 5*z + 32, n*u + 1 = -u + 2*z for u.
-3
Let r be 0/(-2 - 9/(-3)). Suppose 7*o - 9 = 4*o. Suppose r = -5*i - 20, -4*i = -o*u - 2*i + 20. Solve -4*b + 4 + 10 = -2*d, -5*d - 23 = -u*b for d.
-3
Let s(p) = -3*p**2 + 50*p - 28. Let k be s(16). Solve v + 4 = -j + k*j, 3*v - 5*j = -4 for v.
2
Let t(v) = v + 11. Let c be t(-8). Suppose -3*a = 5*p, -3*a = -c*p + 3 + 21. Let r be -1*2*(-3)/((-18)/(-57)). Solve m - 2 = z, -m - p*z + r = m for m.
5
Let g be ((-7)/((-28)/32) - -2)*1. Suppose g = -0*y + 5*y. Solve 3*b - 6 = y*o, 0 = 6*b - 3*b + 3*o - 21 for b.
4
Suppose 0 = -3*j - 53 + 200. Let w = j - 20. Suppose 4*b - w - 39 = 0. Solve s + 5*v + b = 6, 3*s - v = -1 for s.
-1
Let a = -2 - -2. Suppose a = -b - 5*b. Solve -5*q + p + 2 = b, 2*q + 2*p + 2*p - 14 = 0 for q.
1
Let f be (-2 - (-100)/45) + 2/(-9). Solve 2*n - 5*c + 30 = f, -2*n - 5*c + 25 = -3*n for n.
-5
Let b = 495 - 490. Solve 4*t + 6 = b*g, -g + 3*t + 0*t = -10 for g.
-2
Let z be (69/46)/(4/(48/9)). Solve -3*s - 3 = -z*u, -2 + 0 = 4*u + 2*s for u.
0
Let t(h) = -h**2 + 20*h - 62. Let f be t(16). Solve -3*j + 0*j = y + f, 0 = -5*j + 2*y - 7 for j.
-1
Let m = 16 + -10. Suppose -5*r + 4*k + 52 = m, -r - 2*k = 2. Suppose -2*z = z - 15. Solve -4*s = 12, r*y - y + z*s + 35 = 0 for y.
-4
Suppose -9 = -6*i + 3. Suppose -4*r + 38 = 2*d, i*d = -5*r + 3 + 46. Suppose 4*c = 5*c - 4. Solve 3*y + c*n = -3 + r, -13 = -3*y + n for y.
4
Suppose -2*d + 18 + 4 = 0. Suppose -14 = 3*x + 1, 0 = -4*b - 3*x - d. Let z be -1 + (-1 - (b + -3)). Solve 0 = -5*j - 3*k - 12, z*j - 8 = -2*j + 2*k for j.
0
Suppose -470 = -30*q - 17*q. Solve -a = 2*p + 4, 3*a + 2 = -p - q for a.
-4
Suppose 3*z - 175 = -32*z. Solve 4*k = j - 5*j + 16, 4*j = z*k - 20 for j.
0
Suppose -q + 15 = -9. Suppose 5*v - 5*g - 15 = 0, -5*v - g = 3*g - q. Suppose 0*l = v*l - 104. Solve 0 = 2*h + 10, 2*h + 3*h + l = a for a.
1
Let v = 9 + -7. Suppose 0 = -2*x - c + 3*c + 14, x + v*c + 5 = 0. Let u = -4 + 6. Solve u*y = m + 3*m + 14, 9 = x*y for m.
-2
Suppose v - 22 = -4*r, 4*v - 20 = 3*r + 30. Solve 0 = 2*a - f + 5*f - v, -5*f = -3*a - 12 for a.
1
Let b be ((-65)/(-15) - 5)*3*-1. Solve 0 = 5*m - b*i - 15, i + 9 = -0*m + 4*m for m.
1
Suppose 5*n = -3*y + 1, 2*n - 5 - 14 = 5*y. Solve 0 = -b - 0*b, -b - 2 = n*d for d.
-1
Let m(s) = -s**3 + 11*s**2 + 26*s + 14. Let r be (3/2)/((-24)/(-208)). Let b be m(r). Solve -2*w + 4*a + b = 0, -3*w + 3*a = -7*w - 16 for w.
-1
Let n be (-16)/(-2) - 148/37. Solve 5*y - 3*d = -8, -5*y - d - n*d = 40 for y.
-4
Let f = -1313 - -1333. Solve -3*j = t + 2*j + f, -5*t - 34 = 3*j for t.
-5
Let f(o) = o - 6. Let b be f(9). Suppose 0*h = h - b. Solve -h*a = -5*u - 22, -5*a + 13 = -7 for u.
-2
Suppose -c - 4 = -2*o, 4*c + 36*o = 35*o + 20. Solve y - 2*y + 4*t = -9, c*t = -4 for y.
5
Suppose 3*h + l = 31, 0 = 4*h + 3*l - 64 + 16. Let s be (-200)/(-32) + (-6)/(-8). Solve -2*j - 3*v + h = j, -4*v = -j - s for j.
1
Let w = 16 + -24. Let u = 12 + w. Suppose -2*a + 7*i - 3*i + 20 = 0, u*i = -4*a + 4. Solve -a*c - 20 = 5*k, 5*c = 5*k - 6*k - 25 for k.
0
L | {
"pile_set_name": "DM Mathematics"
} |
. Let k(a) = -a**2 + 5*a**2 + t + a**2 - 3*a - 3*a**2. Calculate k(2).
5
Let r(v) = 2*v**3 - 15*v**2 - 3*v + 5. Let t be 4/1*(-6 + -4). Let y be 6/4*t/(-12). Let b(h) = h**3 - 7*h**2 - h + 2. Let q(u) = y*b(u) - 2*r(u). What is q(5)?
5
Suppose -1 + 5 = 4*h. Let i(m) = -15*m**2 + m. Give i(h).
-14
Let b(d) be the second derivative of 0 - 2*d - 7/2*d**2 - 2/3*d**3. Let z(i) = -i - 2. Let x(j) = -2*b(j) + 7*z(j). Give x(0).
0
Let m(q) = -q - 1. Let f be m(-5). Let w = 0 - f. Let x(t) = 2*t + 6. What is x(w)?
-2
Let j(t) = -3 + t - 3*t**2 - 5*t + 2 + t**2. Give j(-4).
-17
Let z(j) = 2*j**2 - 2*j + 6*j**3 + 5*j**3 - 3*j - 10*j**3 - 4. Let o be (6/8)/((-1)/4). Determine z(o).
2
Let z(j) = -j. Let n be z(-4). Suppose 0 = -0*v - 2*v + n. Let r(s) = v*s - 3*s**2 + 0*s**2 + 0*s. What is r(2)?
-8
Let k(u) = -u**3 + 6*u**2 + 6*u. Let n = -5 + 12. Calculate k(n).
-7
Let y(u) = -u. Let h = 8 - 3. Let s be h + -2 - 6 - -1. Give y(s).
2
Let v(k) = 4*k**3 + 1. Let p = -14 + 2. Let c be (-6)/21*42/p. What is v(c)?
5
Let x = -19 - -19. Let c(i) be the second derivative of 0*i**2 + x + 1/12*i**4 + i + 3/20*i**5 - 1/6*i**3. Calculate c(1).
3
Suppose -5*n + 4*s = 0, 3*n - 4 = 5*s + 9. Let x(r) = r. What is x(n)?
-4
Let g = 2 + 0. Let h = 2 - 0. Let u(l) = -4*l + h - l**3 + l - l + 5*l**2. Give u(g).
6
Let k = 6 + 1. Suppose 3*v + 2 = -k. Let x(g) = -3*g**2 - g + 7. Let t(c) = -c**2 + 3. Let m(q) = -5*t(q) + 2*x(q). Give m(v).
-4
Let f = -13 + 6. Let c(l) = -l**3 + l**2 - 1. Let p be c(-2). Let j = p + f. Let y(i) = -2*i + 6. Calculate y(j).
-2
Let w = 18 - 15. Let u(o) be the first derivative of 1 - o - 5/3*o**w - 2*o**2 - 1/4*o**4. What is u(-4)?
-1
Let h(j) = 3*j**2 + 2*j + 12. Let a(u) = 4*u**2 + 3*u + 13. Let i(l) = -2*a(l) + 3*h(l). Suppose 4*s + 5*y = -10, s - 4*y = -y + 6. What is i(s)?
10
Let y(v) be the first derivative of -v**6/120 - v**4/24 - v**3 + 2*v**2 + 5. Let a(o) be the second derivative of y(o). Calculate a(0).
-6
Let x be (-1)/(-1 + (-8)/(-10)). Let a(d) = 0 + 2 + d**2 - x + 4*d. Suppose -3*v - 15 = -2*z, -6 = -3*z + z. Give a(v).
-6
Let n(c) = -c**3 + 3*c**2 + 4*c + 3. Let s be n(4). Let h(i) = -i**2 + i + 1. Let p(g) = -g**3 - 10*g**2 - 4*g - 6. Let k(x) = s*h(x) - p(x). What is k(-6)?
3
Let c(i) = 17*i - 31*i + 15*i + 5. Give c(-5).
0
Suppose 87*l - 10 = 89*l. Let f(j) = j**2 + 4*j + 1. Give f(l).
6
Let s(y) be the second derivative of -3/2*y**2 - 2*y + 0 + 1/6*y**3 + 1/12*y**4. Give s(0).
-3
Suppose 4*b - 3*a - 20 = 0, 4*a + 3 = -3*b + 18. Let o(g) = 2*g - 2. Give o(b).
8
Suppose -4*r = 7*r + 44. Let p(j) = -5 - 2*j + j + 0*j. Calculate p(r).
-1
Let u(l) = -l**3 - 3*l**2 + l - 2. Let y = -3 - 0. Calculate u(y).
-5
Let y(o) = o**3 - 9*o**2 + 9*o - 12. Let m be y(8). Let w be (-1 + 1)*(-3)/(-9). Let j(q) = -4*q + 2*q + 0 + w. Give j(m).
8
Let o(c) = 2*c - 6. Let n(i) = i + 11. Let j be n(-5). What is o(j)?
6
Let j = -69 - -71. Let s(h) be the first derivative of -h**2/2 + 2*h + 1. Give s(j).
0
Let l(x) = -3*x**3 - 2*x + 4*x**3 + 2 - 8*x**2 + 4*x - 11. Let c be l(8). Let t(n) = -c + n + 9 + 1. Determine t(0).
3
Let u(t) be the first derivative of t**5/24 - t**4/12 - t**3 + 7. Let v(g) be the third derivative of u(g). Determine v(2).
8
Let s(r) = 10 + 2*r**3 - r**3 + r - 5. Let m = -1 + 6. Suppose m*d = d. Give s(d).
5
Let q be ((-8)/(-6))/((-3)/(-18)). Let n be -4*(-3 + 22/q). Let y(z) = -z**3 - z**2 - z + 1. Determine y(n).
-2
Let k be 2*-1 - (10 + -14). Let i(z) = -181 - z**k + 4*z + 181. Give i(5).
-5
Let n be -2 + 11 + -1 + -1. Let h = n + -4. Suppose -4*t = -5*o - 26, -5*o + 4 - 2 = h*t. Let x(m) = m - 2. Determine x(o).
-4
Let w(k) = -2*k**2 + 14*k - 4. Let s(j) = j**2 - 7*j + 2. Let v(m) = -5*s(m) - 2*w(m). What is v(7)?
-2
Let d(n) = -n. Let q be (-4)/6 + (-32)/(-12). Let b be 1*(0 + 0)/(-2). Suppose y + b = q. Calculate d(y).
-2
Suppose 0 = -5*x + 2*n - 26, n = -2*x + 9 - 23. Let c(p) = -3*p + 4. Give c(x).
22
Let p(b) = 2*b - 2*b - 3*b - 9 + 4*b. Give p(9).
0
Let o(u) = 3*u - 13. Let i(l) = 2*l - 19. Let y be i(14). Determine o(y).
14
Let u(z) = -4*z**3 + 11*z**2 + 11*z + 5. Suppose 5*p + 0*p = -25. Let d(q) = q**3 - q**2 - q - 1. Let i(g) = p*d(g) - u(g). Calculate i(-5).
5
Let n(s) = s**3 + 10*s**2 - 13*s - 20. Let g be n(-11). Suppose 4*f - 11 - 5 = 0. Let q(v) = f*v + 0*v + v - v**2 - 3. Give q(g).
3
Let r(f) be the first derivative of f**2/2 + 49. Give r(-7).
-7
Let a(v) = v - 2. Suppose -4*b = q - 28, 0 = -5*b - 5*q + 18 + 32. Calculate a(b).
4
Let h(d) = -8*d**2 - 1. Let t be 1/(5/(-8 - -3)). Give h(t).
-9
Let w be (12/10)/(4/10). Let u(f) = -f**2 - f + 1. Let r(l) be the first derivative of 2*l**3/3 + 3*l**2 - l - 1. Let v(j) = w*u(j) + r(j). Give v(5).
-8
Let b(j) be the third derivative of 5*j**4/24 + j**3 - 19*j**2 + 3*j. Give b(-6).
-24
Let j(v) = -v. Suppose 0 = -10*a + 14*a - 4. Calculate j(a).
-1
Let k be 2/(-1) + -10 + 5. Let s = k - -4. Let a(l) = -2*l - 3. What is a(s)?
3
Let l(q) be the third derivative of -q**7/504 - q**5/120 + q**4/24 - q**2. Let i(u) be the second derivative of l(u). Let f = 4 + -3. What is i(f)?
-6
Let b(n) = 4*n. Let r(w) = -3*w. Suppose 6 = 3*x - 3*l - 3, 0 = -2*x + 4*l + 6. Let q(t) = x*b(t) + 3*r(t). What is q(2)?
6
Let l be 8/20*(5 + 0). Let x(t) = -3*t + 4 - 1 - t**l - 7. Let z = -9 + 5. Calculate x(z).
-8
Suppose -i = 2*i - y + 3, -2*y = 4*i + 4. Let m(d) = d**3 - d**2 - d - 1. Let r(u) = 0*u + 2*u - 4*u**2 + u**2. Let p(a) = i*m(a) + r(a). Give p(-3).
1
Let o(h) = 5 + 2*h - 4*h**2 + 0*h + h**3 - 6*h + 2*h. Suppose 5*z = 2*m - 17, -2*m = 4*z + 2*m + 8. Let b = z + 7. What is o(b)?
-3
Let l(o) = 3*o - 3 - 4*o + 1 - 2*o. Let d be ((-3)/9)/((-1)/6). Determine l(d).
-8
Suppose 58 = -6*w + 16. Let d(f) = -f**3 - 6*f**2 + 7*f. What is d(w)?
0
Let w(q) = 7*q**2 + 15*q + 1. Let c(d) = 10*d**2 + 22*d + 1. Let u(o) = -5*c(o) + 7*w(o). What is u(-6)?
-4
Suppose 2*o = 6*o + a + 28, 0 = o + 3*a + 7. Let y(u) = 3*u**2 + 28*u + 25. Let x(j) = -2*j**2 - 19*j - 17. Let k(t) = o*x(t) - 5*y(t). Give k(-6).
0
Let v(x) be the first derivative of -x**2/2 - 6. What is v(8)?
-8
Suppose -4*s - 9 = -29. Let d(t) be the third derivative of -2*t**2 - 1/8*t**4 + 0 + 0*t + 1/60*t**5 - 2/3*t**3. Give d(s).
6
Let g(u) be the first derivative of -u**7/840 - u**6/60 - u**5/24 + 7*u**4/24 + u**3/3 - 3. Let h(t) be the third derivative of g(t). What is h(-5)?
7
Let l(u) be the first derivative of -u**4/8 + u**3/6 + 3*u**2/2 + 3. Let w(r) be the second derivative of l(r). Give w(-2).
7
Let u(v) be the first derivative of -1/3*v**3 - 5*v + 1 + 5/2*v**2. Calculate u(4).
-1
Let p(c) be the second derivative of 1/20*c**5 + 5/6*c**3 - c**2 + 0 - 1/4*c**4 - c. Calculate p(3).
13
Let b(z) = 16*z + 2*z**2 - 2*z + 3 - 10*z. Calculate b(-3).
9
Let a(l) be the third derivative of -l**5/60 + l**4/12 + l**3/6 + 7*l**2. Calculate a(3).
-2
Let n(w) be the second derivative of -1/2*w**4 - 9*w + w**3 - 7/2*w**2 + 0 + 1/20*w**5. Give n(5).
-2
Suppose 4*l = 2*l + 26. Let v(c) = -c + 6. Let g(w) = -4*w + 12 + 2*w + 1. Let s(x) = l*v(x) - 6*g(x). Give s(4).
-4
Let g(v) = -v**2 - 6*v + 7. Let b be g(-7). Let i(k) = k + b*k + k + 2*k + 4 + 2*k**2. Determine i(-3).
10
Let t = 3 + -1. Let a(c) = c + 7 - t - 5*c**2 - c**3 + c**2 + 5*c. Give a(-5).
0
Let i be (-2 - -1)*(-2 + 3). Let z = i + 0. Let x(q) = -2*q - 5*q**2 + 2*q. What is x(z)?
-5
Let s = -5 + 7. Let b(g) be the third derivative of 1/6*g**3 + 0 + 1/60*g**6 + 3*g**2 + 0*g + 1/24*g**4 - 1/20*g**5. Calculate b(s).
7
Let r be (2/2)/(2/4). Suppose 2*t - 9 = -t. Let u(l) = -3*l**2 + l + t - l**3 + 6*l**2 - 4*l. Give u(r).
1
Let n(c) = c**3 - 6*c**2 - c + 5. Let j = -7 + 13. Give n(j).
-1
Let m(a) = 3*a**2 + a - 2. Let x = 15 + -11. Let i(c) = -c**2 - c + 1. Let u(g) = x*i(g) + m(g). Calculate u(-4).
-2
Suppose -5*z = 12 + 3. Let w(h) = -h - 9. Suppose -2*i + 6*i = 20. Let o(m) = 2*m + 17. Let r(n) = i*w(n) + 3*o(n). Give r(z).
3
Let n(k) = -k**3 + k**2 + k - 6. Let t = 4 + -1. Suppose -2*s = t*s. Calculate n(s).
-6
Suppose 6 = 4*p - p. Let h(j) = 2*j + j - j**2 + 2*j**3 - 2 - j**3 + 6*j**p. Let k be -1 + (-1 - 1)/1. Give h(k).
7
Suppose 5*o = 2*o - 18. Let m(b) = -2*b - 8. Calculate m(o).
4
Let j(c) be the first derivative of -9*c**4/4 + c**3/3 + c**2 + c - 2. Suppose 1 + 1 = -2*i. Calculate | {
"pile_set_name": "DM Mathematics"
} |
142173 to 5 dps.
0.03214
What is 0.0130323013 rounded to four dps?
0.013
What is 0.57151506 rounded to 1 dp?
0.6
Round -20.377041 to the nearest integer.
-20
Round -1.88410728 to 3 dps.
-1.884
Round 8.1707927 to 3 decimal places.
8.171
Round 5440.89113 to the nearest ten.
5440
What is -29881.06846 rounded to zero dps?
-29881
Round 0.0018912189701 to 6 dps.
0.001891
What is 15251440.676 rounded to the nearest 100000?
15300000
What is -87.957287 rounded to the nearest 100?
-100
What is -391187.3205 rounded to the nearest 100?
-391200
Round 14639633.63 to the nearest one thousand.
14640000
Round -0.000000973434442 to 7 decimal places.
-0.000001
Round -0.056254291 to five decimal places.
-0.05625
What is 101592427 rounded to the nearest 100000?
101600000
What is -125236.7419 rounded to the nearest one thousand?
-125000
Round -14.564375091 to three decimal places.
-14.564
What is 0.51796159 rounded to 2 dps?
0.52
What is 1829.0051 rounded to the nearest 10?
1830
What is 0.00313194472 rounded to six decimal places?
0.003132
What is 46.0863318 rounded to the nearest 10?
50
Round 598.8962854 to the nearest integer.
599
Round -102.4351578 to one dp.
-102.4
Round 2.79673547 to zero decimal places.
3
What is 28104328.6 rounded to the nearest 100000?
28100000
Round -445.357955 to the nearest integer.
-445
What is 0.093044147 rounded to 3 decimal places?
0.093
What is 0.05010495102 rounded to four dps?
0.0501
Round -16609177.62 to the nearest ten thousand.
-16610000
What is -0.0000137500982 rounded to six decimal places?
-0.000014
What is -967337.1118 rounded to the nearest one hundred thousand?
-1000000
Round 0.000358816396 to 7 decimal places.
0.0003588
Round 0.02936516 to 5 dps.
0.02937
Round 0.00186437414 to five dps.
0.00186
Round -0.00004526219 to 4 dps.
0
What is -8543106.715 rounded to the nearest 100000?
-8500000
What is -136657.949 rounded to the nearest one thousand?
-137000
What is -4043959783 rounded to the nearest one million?
-4044000000
Round -547067219 to the nearest one hundred thousand.
-547100000
What is -0.649548425 rounded to one dp?
-0.6
What is 307751.84 rounded to the nearest ten thousand?
310000
Round 0.5637667627 to 5 decimal places.
0.56377
What is -1112001630 rounded to the nearest one million?
-1112000000
What is -616.85202 rounded to 1 decimal place?
-616.9
Round 37633.64578 to the nearest ten.
37630
Round -0.2831591593 to 3 decimal places.
-0.283
What is -0.2891012517 rounded to 3 dps?
-0.289
Round 2.022855198 to 1 decimal place.
2
What is -0.0001753594619 rounded to 7 dps?
-0.0001754
What is -0.000000065081855 rounded to 7 decimal places?
-0.0000001
What is -0.021482988 rounded to 5 dps?
-0.02148
What is -0.00074209999 rounded to 5 decimal places?
-0.00074
What is 0.010005323 rounded to 2 dps?
0.01
Round -0.0009095747648 to four dps.
-0.0009
Round -40570544.34 to the nearest 100000.
-40600000
What is -0.000962673592 rounded to five dps?
-0.00096
What is -122.270208 rounded to 2 dps?
-122.27
Round -0.000020882786 to 6 dps.
-0.000021
Round -42525.81234 to the nearest 10000.
-40000
Round 0.0057854304 to seven decimal places.
0.0057854
Round -0.000010444706484 to seven dps.
-0.0000104
Round -0.000010999333 to 6 dps.
-0.000011
What is 11051101700 rounded to the nearest one million?
11051000000
What is -350767.8 rounded to the nearest one hundred?
-350800
What is -4830547.04 rounded to the nearest 10000?
-4830000
Round 5404.064861 to the nearest 10.
5400
Round 0.1776168231 to 6 decimal places.
0.177617
What is 0.00112134215 rounded to five dps?
0.00112
Round 0.00015340025 to 6 dps.
0.000153
Round 2955.71214 to the nearest one hundred.
3000
What is -0.0002380073134 rounded to 7 dps?
-0.000238
What is -0.00208155172 rounded to 5 dps?
-0.00208
What is -2961884338.4 rounded to the nearest 1000000?
-2962000000
Round 0.199736932 to five dps.
0.19974
Round -0.007641324317 to 5 dps.
-0.00764
What is 0.00054562652 rounded to 5 dps?
0.00055
Round -248.050339 to the nearest ten.
-250
What is -999432.63 rounded to the nearest one hundred thousand?
-1000000
Round -14040.130317 to one decimal place.
-14040.1
Round 1929.3231 to the nearest 10.
1930
Round -58681675.09 to the nearest one million.
-59000000
Round 732016.2 to the nearest one hundred thousand.
700000
What is 126734.562 rounded to the nearest 100?
126700
Round 11436.5993 to the nearest one hundred.
11400
What is 0.006461898 rounded to 4 decimal places?
0.0065
What is -32667.006 rounded to the nearest ten thousand?
-30000
Round 1193408813 to the nearest 100000.
1193400000
Round 0.009984286 to 5 decimal places.
0.00998
What is -3781.54389 rounded to the nearest ten?
-3780
Round -101761.62 to the nearest 1000.
-102000
Round 8.96977 to two decimal places.
8.97
What is 10534.9198 rounded to the nearest one thousand?
11000
What is -903.021313 rounded to the nearest ten?
-900
What is -2.7468893 rounded to 4 decimal places?
-2.7469
Round -0.00002211642524 to five dps.
-0.00002
Round 49974.09026 to the nearest ten.
49970
Round -0.0144316231 to 6 dps.
-0.014432
Round -0.12386182 to 2 dps.
-0.12
What is -3177884.773 rounded to the nearest 10000?
-3180000
Round -0.0000004595022029 to seven decimal places.
-0.0000005
What is 4.337646 rounded to 0 decimal places?
4
What is 14677395.4 rounded to the nearest 1000?
14677000
What is -2.57753869 rounded to one decimal place?
-2.6
What is -0.04138542107 rounded to two dps?
-0.04
What is 6.776200366 rounded to 0 dps?
7
Round -1.82553749 to four decimal places.
-1.8255
What is 0.000513505118 rounded to 6 dps?
0.000514
What is -210.1329591 rounded to the nearest integer?
-210
What is -128063.55763 rounded to the nearest one thousand?
-128000
What is 12422.904 rounded to the nearest 1000?
12000
What is -11.766674413 rounded to two decimal places?
-11.77
What is 3131881.3 rounded to the nearest one hundred?
3131900
What is -225395782 rounded to the nearest 1000000?
-225000000
Round 0.062299926 to two dps.
0.06
What is 0.0099365867 rounded to four dps?
0.0099
Round 346762.98 to the nearest 10000.
350000
What is 446937.491 rounded to the nearest one thousand?
447000
Round 0.0690861824 to two decimal places.
0.07
What is 10038840420 rounded to the nearest 100000?
10038800000
Round -7.1270717 to 1 dp.
-7.1
What is -0.02291539675 rounded to three dps?
-0.023
What is 0.00149328313 rounded to 7 dps?
0.0014933
What is -392.47306 rounded to the nearest ten?
-390
What is 0.00001838452745 rounded to five dps?
0.00002
What is -717394.67 rounded to the nearest 1000?
-717000
Round -3.78203626 to 3 dps.
-3.782
What is -0.14162097 rounded to three decimal places?
-0.142
What is 1388196300 rounded to the nearest one million?
1388000000
What is -5895030800 rounded to the nearest 1000000?
-5895000000
What is 812.819454 rounded to the nearest integer?
813
Round -1.07876384 to one decimal place.
-1.1
Round -1812645.256 to the nearest one thousand.
-1813000
Round 8.97021755 to 3 decimal places.
8.97
What is 0.18326008 rounded to 1 decimal place?
0.2
What is 0.7390861 rounded to one decimal place?
0.7
What is -78553812.5 rounded to the nearest ten thousand?
-78550000
What is 14598964.48 rounded to the nearest one hundred?
14599000
Round -111246.2373 to the nearest 100.
-111200
What is 121440.146 rounded to the nearest 100?
121400
Round 9628973.194 to the nearest 100.
9629000
Round 3548.193 to the nearest one hundred.
3500
Round -0.00013894157 to seven dps.
-0.0001389
Round -0.002604066 to three dps.
-0.003
What is -41053980.9 rounded to the nearest one hundred thousand?
-41100000
Round -12062.01798 to the nearest 100.
-12100
Round -129909.61555 to the nearest 100.
-129900
Round -3046.365002 to one dp.
-3046.4
What is -929.54695 rounded to the nearest ten?
-930
Round -2371.89454 to one decimal place.
-2371.9
Round 2040.37747 to the nearest 10.
2040
Round 2939.5495 to the nearest ten.
2940
Round 433922.1608 to the nearest one hundred.
433900
Round 0.00003774787 to seven decimal places.
0.0000377
What is -0.001187167869 rounded to seven dps?
-0.0011872
What is 35.2730099 rounded to 2 decimal places?
35.27
What is -0.00022199535478 rounded to 6 decimal places?
-0.000222
Round 6.2421858 to 1 decimal place.
6.2
Round -138324.811 to the nearest 10000.
-140000
What is -771.409859 rou | {
"pile_set_name": "DM Mathematics"
} |
= 26 + -26. What is the closest to x in m, u, 2/9?
u
Let j = -26.63 - -0.63. Let u = 28 + j. What is the closest to -7/5 in -1/3, u, -0.5?
-0.5
Let i = 9.9 + -12.9. Suppose -3*f - 20 = f. Which is the closest to i? (a) f (b) -3 (c) 2/19
b
Suppose -2*v + 4 = -2*d - 6, v = -2*d + 11. Let g = 86 - 83. What is the nearest to v in -2/17, g, -2?
g
Let x = -1.1 - -0.6. Let p = 0.4 + x. Let t be (9/18)/(6/(-12)). What is the nearest to -1/4 in p, -5, t?
p
Let a = -1786.5 - -1787. Let j = -131/3 + 44. What is the nearest to j in -4, a, -1?
a
Let d = 0.0662 + -0.5662. Which is the closest to -9? (a) 0.06 (b) d (c) -0.2
b
Suppose 0 = -26*g + 18*g + 8. What is the nearest to 2 in 1/2, -4, g, -5?
g
Let m = -195.6 - -194.6. What is the closest to m in 3/8, 6.6, -0.4?
-0.4
Let r = -48 + 46. Let v be (r/10)/(-2 - 36/(-20)). Let k = -4 + 3. What is the nearest to k in v, -0.3, 1/4?
-0.3
Let w = -1776 - -1778. Let d = -10661/20 - -534. Let f = d - 7/10. What is the nearest to -0.1 in f, w, -3?
f
Let s = 10.4 - 70.4. Let g = s + 60.04. Which is the closest to -1? (a) -2/11 (b) -1/8 (c) g
a
Let r = -4 - 1. Let k = r - -1. Let s = -4/3 + 13/9. Which is the closest to 1? (a) 2/7 (b) s (c) k
a
Let w = -39 - -42. Which is the closest to 0? (a) -3/22 (b) w (c) 2/9
a
Let s be 15/12 - 3/2. What is the nearest to 2 in 1, s, -3?
1
Let x be 6/45 + 4 + 57/(-15). Let d = 407 - 410. Which is the nearest to -0.1? (a) x (b) 17 (c) d
a
Let l = -4.777 - -4.8. Let n = 0.123 - l. What is the nearest to 2/7 in -2/11, n, 5?
n
Let x be 5/15*(-9 + 11). What is the nearest to x in -25, -5, 0?
0
Let c = 385178/5 - 76708. Let s = -329 + c. Let q = -1/10 + s. What is the closest to q in -1, -4, -0.2?
-1
Let b = -30 + 28.95. Let z = b + 0.05. Let r = 26 + -25.5. What is the closest to z in 0.3, 0, r?
0
Let s = -0.3 + -0.7. Let f = 5/116 - -6/29. Let p = 3.2 + -3. What is the closest to s in -1/9, p, f?
-1/9
Let z = 6 + -5.7. Let t = 0.2 + -1.2. Let p = -1 + 2. What is the closest to t in -2/9, p, z?
-2/9
Let x be (-4)/30 - (-290)/1050. Let h = -2.5 + 2.3. Which is the nearest to -0.3? (a) -3 (b) h (c) x
b
Let g = 87.9 - 83.945. Let q = -0.045 - g. Which is the nearest to 1/4? (a) -0.4 (b) q (c) 29
a
Let k = -12.6 + 6.6. What is the nearest to -2/5 in 3, k, -2?
-2
Let g = 5.5 - 5. Let j = -0.6 + g. Let p = 1.043 - 0.243. Which is the closest to j? (a) 2/5 (b) 1/8 (c) p
b
Let p be (4/(-6))/(28*(-4)/(-24)). What is the closest to p in 4/7, 0.2, 2/3?
0.2
Let v = 7.89 - 2.89. Which is the nearest to 2? (a) 1/8 (b) v (c) -2/3
a
Let i(n) = -3*n**2 + n + 13. Let y be i(-3). Let d = -15 - y. What is the closest to 4 in -0.4, 0.1, d?
d
Let p = 0.3 + -0.2. Let z = -300 + 299. What is the nearest to z in -1/6, p, 2/7?
-1/6
Let i = 7769/150 + -103/2. Let y = i - -1/25. Which is the closest to y? (a) 3 (b) 0.1 (c) -12/17
b
Let h = 1396/41145 + -2/633. What is the nearest to -0.1 in -1, h, 1, 0?
0
Let o = 267 + -270. Let y = 37/2 + -19. What is the closest to -2/3 in 4, y, o?
y
Let a = 193/452 + -20/113. Let g = 1.1 - 1. What is the nearest to g in 4/9, -2/9, a?
a
Let i(y) = -36*y + 608. Let p be i(17). Let k be (-9)/(-7) - (2 + -1). Which is the closest to k? (a) -0.8 (b) p (c) 5
a
Suppose -6 - 4 = 2*j, -5*w = 2*j. Which is the nearest to 1? (a) w (b) 5/6 (c) -2/9
b
Let v = 0.04 - 0.24. Let a be ((-22)/20)/11*4. Let g = 4.5 - 4.2. What is the nearest to v in 2/13, a, g?
a
Let k be (8/(-32))/((-1)/4). Let m = -375 - -751/2. Which is the nearest to m? (a) k (b) 9 (c) 3
a
Let x = -0.91 - 0.09. Let j = 113.4 + -113.8. What is the nearest to j in 0.1, x, -3?
0.1
Let k = -1.045 + 0.045. Which is the closest to k? (a) -0.4 (b) 3/4 (c) 4 (d) -1/5
a
Let d(p) = p**3 + 19*p**2 - 42*p - 6. Let n be d(-21). Which is the nearest to n? (a) 1/3 (b) -9/8 (c) -0.1
b
Let n = -1940 - -1944. What is the nearest to -2/7 in 5, n, 0.88?
0.88
Let k(d) = -6*d + 122. Let t be k(21). Which is the closest to -0.03? (a) 4 (b) t (c) -0.2
c
Let i = 40 + -33. Let r = 7.1 - i. Which is the nearest to 2? (a) 5 (b) -0.4 (c) r
c
Let x = 174.1 - 174. Let h be (3/(-2))/(0 - -6). What is the nearest to h in 1, x, 3?
x
Let v(j) be the first derivative of j**4/4 - 7*j**3/3 + 5*j**2/2 + 4*j - 41. Let z be v(6). What is the closest to z in -2/9, -2/17, 2/7?
-2/9
Suppose -h - 4 - 31 = -c, 2*c - 63 = -5*h. Suppose -3 = 37*y - c*y. What is the closest to 0.3 in 3/2, -0.3, y?
-0.3
Let g = -155.947 - -156. What is the closest to -1 in g, 3, -2?
-2
Let x = -7.8 - -0.9. Let a = x - -7. Let z = 0.08 - 4.08. What is the nearest to -0.1 in 2/7, z, a?
a
Let x = 0.01 + -0.01. Let h be (-7)/(-4) + 1/(-2). Which is the nearest to x? (a) 2 (b) 0 (c) h
b
Suppose 9 + 1 = 5*j. Suppose -j*d = -9 + 3. Suppose 0 = g + d*g + 8. Which is the closest to 0.2? (a) 1/3 (b) g (c) -2/21
a
Let y = -71/4 + 631/36. Which is the closest to -0.1? (a) -7 (b) 1/3 (c) y
c
Let c = 0.7 + -1. Let o be (-4 - -2) + (-108)/(-81). What is the closest to o in c, 0, -2?
c
Let i be (-5)/(-4) + -1 + 0. Let p = 56 + -40. Let x be (p/(-8))/(12/(-9)*-1). Which is the nearest to -0.2? (a) 0.5 (b) x (c) i
c
Let q be 2/((-1 - (-1)/2) + 0). Let h = -2/793 - 3158/5551. Which is the nearest to 0.1? (a) 3 (b) q (c) h
c
Let n = -0.83 - -1.33. What is the nearest to n in -5, -2/9, -5/2?
-2/9
Let g(j) = j**3 - 6*j**2 - 14*j - 19. Let z be g(8). Let u be (-5)/(-2)*4/15. Which is the closest to u? (a) z (b) -5 (c) -2
c
Suppose -4*m - 3*w - 30 = 33, w - 75 = 4*m. Let h be (-87)/(-270) - (-4)/m. Which is the closest to -2/9? (a) 1/6 (b) h (c) -0.4
c
Let m = -389 + 387. Which is the nearest to 0? (a) -3 (b) m (c) 8 (d) -5
b
Let o(n) = n**3 + 11*n**2 + n + 7. Let h be o(-11). Which is the closest to 0? (a) h (b) 18/11 (c) 16 (d) 5
b
Let y = -2.14 + -2.86. What is the nearest to -0.2 in y, 0, 3?
0
Let b = -2272/5 + 454. What is the nearest to -2/7 in 1, b, 2/19?
b
Let r = 30502/47 - 649. Which is the closest to 0? (a) 0 (b) 2/17 (c) r (d) -2
a
Let q = 4.9901 - -0.0099. What is the closest to 1/6 in -0.3, q, 2/15, 1?
2/15
Let k = -57.8 - -43. Let h = -15 - k. What is the nearest to 2 in h, -0.1, 4?
4
Let m = 0.11 + -2.41. Let k = m - 0.7. What is the nearest to -1 in k, 0.1, 5?
0.1
Suppose 20*w + 2737 = 3*w. Let m = w + 647/4. Which is the nearest to -0.2? (a) 1 (b) -4 (c) m
c
Let y = 0.072 + 0.028. Let j(g) = -9*g. Let n be j(-2). Which is the closest to y? (a) -0.5 (b) 2 (c) n
a
Let v = -0.1 - -2.1. Let p = 985.9 - 986. Let w = -26 + 53/2. Which is the nearest to v? (a) w (b) p (c) -3
a
Suppose 0 = -5*j - 0*j + 15. Let i(q) = -q**3 + 3*q**2 + 5. Let n be i(j). Which is the nearest to -1? (a) n (b) 1 (c) 3/2
b
Let z = 0.05 - -0.35. Let a = -0.5 + 1. Let g = -459 - -451. What is the nearest to g in a, 3/5, z?
z
Suppose 9*h + 45 = -0. Let g be (2 - 1)/(h/(-10)) + -3. Which is the nearest to -1? (a) -2/5 (b) 3 (c) g
c
Let i = -15.9 - -18.9. Let q be -1 + 0 - 22/(-26). Which is the nearest to i? (a) q (b) -0.5 (c) -0.3
a
Let q be (-60)/(-50) - (-2)/(-10). What is the nearest to q in -5, -0.36, 0?
0
Let p = 5.203 + -0.203. Which is the nearest to 7? (a) -0.1 (b) 0.2 (c) p
c
Let k be (-2)/(-9) - (-52)/(-153). Let x = -0.7 + 0.69. Which is the nearest to 0.1? (a) -0.3 (b) x (c) k
b
Suppose -6*v + 7*v + 13*v = 28. Let d = 1 + -1. What is the closest to d in 0.3, -2/3, v?
0.3
Let m = 6.73 - 7. Let n = m + 0.3. Which is the closest to -1/3? (a) 5/2 (b) 5 (c) n
c
Let z = 3.146 - 0.146. Let p = -14 - -5. What is the nearest to p in -0.3, 2, z?
-0.3
Let i be ((-1)/(-2))/(39/(-26)). Which is the nearest to i? (a) -5 (b) -1/4 (c) -3/4 (d) -3
b
Let q = 382 + -386. Which is the closest to 1? (a) q (b) 1 (c) 0.2 (d) -0.5
b
Let o = 2.0141 + -0.0141. Which is the closest to 11? (a) -5 (b) -4 (c) o
c
Let g = -1537 + 1536. What is the closest to 0.07 in -0.5, g, 5, 1/2?
1/2
Let h = -303.2 + 272. Let n = -31 - h. Which is the nearest to 3? (a) n (b) 0.1 (c) -4
a
Let r = -3 + 18. Suppose 5*z + 11 = 3*h, 25*z = 20*z - 4*h + 3. Let l = -0.31 + 0.01. What is the nearest to z in r, l, -0.2?
l
Let w = 0.4 + -0.3. Let s = -19824 - -19823.9. What is the nearest to 1 in w, -5, s?
w
Let k = -0.11 + 0.21. Which is | {
"pile_set_name": "DM Mathematics"
} |
t replacement from uuuuuu?
1
Three letters picked without replacement from {b: 3, i: 2, j: 5, e: 7}. What is prob of picking 3 b?
1/680
Three letters picked without replacement from pfpffppffpffpp. Give prob of picking 2 p and 1 f.
21/52
Two letters picked without replacement from {f: 2, t: 3, r: 7, z: 2, c: 5, p: 1}. What is prob of picking 2 c?
1/19
Four letters picked without replacement from {o: 2, x: 5, n: 5, k: 5}. What is prob of picking 2 x, 1 n, and 1 k?
25/238
Two letters picked without replacement from kjkjjjj. What is prob of picking 1 j and 1 k?
10/21
Two letters picked without replacement from {t: 1, g: 4, v: 2, l: 1, h: 2}. Give prob of picking 1 g and 1 v.
8/45
Calculate prob of picking 3 j when three letters picked without replacement from jjjjj.
1
Two letters picked without replacement from zlyyzpy. Give prob of picking 1 y and 1 l.
1/7
Calculate prob of picking 2 k and 1 j when three letters picked without replacement from kzzjjkzzzzyezzjzzz.
1/272
Four letters picked without replacement from tyyytttyyh. Give prob of picking 2 y and 2 t.
2/7
Two letters picked without replacement from {w: 1, r: 2, n: 4}. Give prob of picking 1 r and 1 w.
2/21
What is prob of picking 2 m when two letters picked without replacement from {c: 2, m: 4, d: 3, x: 1, h: 4}?
6/91
Four letters picked without replacement from {h: 4, u: 2}. Give prob of picking 2 u and 2 h.
2/5
Three letters picked without replacement from {w: 1, x: 3, f: 7, v: 6}. What is prob of picking 1 v, 1 x, and 1 f?
63/340
Two letters picked without replacement from {q: 2, d: 1, i: 1}. Give prob of picking 1 i and 1 d.
1/6
Three letters picked without replacement from {h: 9, x: 10}. Give prob of picking 2 x and 1 h.
135/323
Four letters picked without replacement from {y: 8, w: 5}. What is prob of picking 2 w and 2 y?
56/143
Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {t: 17, o: 3}.
51/190
Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 1, x: 1, w: 1, m: 1, v: 1}.
1/10
Four letters picked without replacement from wchwwwh. Give prob of picking 1 c and 3 w.
4/35
Two letters picked without replacement from hhsmymfzyszmhz. Give prob of picking 2 f.
0
Calculate prob of picking 2 c, 1 h, and 1 g when four letters picked without replacement from {y: 1, h: 2, g: 1, c: 7, l: 8}.
7/646
What is prob of picking 1 y and 1 u when two letters picked without replacement from yukzb?
1/10
Two letters picked without replacement from {s: 6, t: 6}. What is prob of picking 2 t?
5/22
What is prob of picking 1 t and 2 b when three letters picked without replacement from {b: 10, t: 2}?
9/22
What is prob of picking 3 k when three letters picked without replacement from ppekekkk?
1/14
What is prob of picking 2 k and 2 u when four letters picked without replacement from uquuukukkuuuqk?
24/143
Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {g: 1, z: 6, s: 1, m: 1, a: 5, n: 2}.
1/20
Two letters picked without replacement from raxrxarrrkr. What is prob of picking 2 a?
1/55
Calculate prob of picking 2 u when two letters picked without replacement from {u: 9}.
1
Four letters picked without replacement from tttaaaaaett. Give prob of picking 1 e and 3 t.
1/33
Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {j: 2, g: 4, n: 3}.
1/28
What is prob of picking 2 d and 1 t when three letters picked without replacement from {t: 1, x: 3, d: 3}?
3/35
What is prob of picking 2 d and 1 y when three letters picked without replacement from dsdxxyydxyddsyy?
10/91
Two letters picked without replacement from {a: 2, v: 7, f: 4}. Give prob of picking 1 f and 1 v.
14/39
Calculate prob of picking 2 y when two letters picked without replacement from aaqhkaqhyjahyhhkh.
1/136
Three letters picked without replacement from {g: 3, k: 4, f: 4, c: 4}. What is prob of picking 1 c and 2 k?
24/455
Three letters picked without replacement from {p: 5, q: 5}. Give prob of picking 1 q and 2 p.
5/12
Calculate prob of picking 2 t and 2 q when four letters picked without replacement from {d: 2, x: 5, z: 1, t: 4, q: 2}.
6/1001
Two letters picked without replacement from sssscszcssszsssssssc. What is prob of picking 2 z?
1/190
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 1, v: 1, a: 1, m: 2, n: 1, z: 2}.
1/28
Three letters picked without replacement from cucc. What is prob of picking 3 c?
1/4
Three letters picked without replacement from {n: 4, t: 3, q: 4}. What is prob of picking 1 q and 2 n?
8/55
What is prob of picking 3 l and 1 s when four letters picked without replacement from sssllsslss?
1/30
Calculate prob of picking 4 t when four letters picked without replacement from {p: 6, t: 4}.
1/210
What is prob of picking 1 a, 1 k, and 2 c when four letters picked without replacement from aakkackcllkllkkkakkk?
8/969
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tpocp.
1/5
Four letters picked without replacement from yeyyeeyyyyeyey. Give prob of picking 3 e and 1 y.
90/1001
Two letters picked without replacement from {m: 3, i: 1, b: 4, j: 2, r: 2, s: 2}. What is prob of picking 1 s and 1 r?
4/91
Three letters picked without replacement from {a: 4, c: 1, r: 2}. Give prob of picking 1 a and 2 r.
4/35
Four letters picked without replacement from {v: 1, u: 1, h: 6, b: 4, y: 3}. Give prob of picking 2 b and 2 h.
6/91
What is prob of picking 1 k and 2 v when three letters picked without replacement from sspksvqvfkv?
2/55
Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {i: 4, f: 3, j: 2, s: 4, q: 3, y: 1}.
9/1190
Four letters picked without replacement from uivviuuuiiiiuvvuuuu. What is prob of picking 1 u, 1 i, and 2 v?
27/323
What is prob of picking 2 s when two letters picked without replacement from ssssspss?
3/4
Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, t: 2, p: 3}.
1/6
Calculate prob of picking 2 h when two letters picked without replacement from {d: 5, h: 14}.
91/171
Calculate prob of picking 1 k, 1 d, and 1 t when three letters picked without replacement from {d: 6, n: 2, k: 4, t: 2, u: 1}.
48/455
Calculate prob of picking 1 h, 1 x, and 1 t when three letters picked without replacement from txxxwhy.
3/35
What is prob of picking 1 p, 1 u, and 1 d when three letters picked without replacement from {u: 1, d: 1, k: 2, p: 1}?
1/10
Calculate prob of picking 2 c when two letters picked without replacement from mvgmgmgmvgmmugccggcm.
3/190
What is prob of picking 1 p and 1 c when two letters picked without replacement from kvophcchcohooc?
4/91
What is prob of picking 3 m and 1 y when four letters picked without replacement from mmmmmmmymmy?
28/55
What is prob of picking 1 b and 1 v when two letters picked without replacement from {z: 2, n: 4, v: 3, y: 4, b: 3}?
3/40
What is prob of picking 1 q and 3 s when four letters picked without replacement from {q: 1, s: 7}?
1/2
Calculate prob of picking 1 p, 1 y, and 1 t when three letters picked without replacement from {t: 1, y: 3, p: 1}.
3/10
Three letters picked without replacement from {b: 3, l: 1}. Give prob of picking 3 b.
1/4
What is prob of picking 2 n and 2 o when four letters picked without replacement from {o: 2, n: 8}?
2/15
Two letters picked without replacement from wpaaawawhwahawwwwaw. What is prob of picking 1 w and 1 a?
7/19
Three letters picked without replacement from xvviillxxii. What is prob of picking 1 v, 1 x, and 1 l?
4/55
What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 1, q: 2, k: 1}?
1/3
What is prob of picking 1 y, 1 v, and 1 a when three letters picked without replacement from {y: 1, r: 5, c: 1, a: 3, v: 2}?
3/110
What is prob of picking 1 f, 2 o, and 1 m when four letters picked without replacement from {m: 4, n: 1, t: 1, f: 2, o: 1}?
0
Calculate prob of picking 2 s when two letters picked without replacement from {p: 3, s: 12}.
22/35
Three letters picked without replacement from ssssnssnssssssssssns. What is prob of picking 3 n?
1/1140
Four letters picked without replacement from {v: 9, s: 11}. What is prob of picking | {
"pile_set_name": "DM Mathematics"
} |
order.
-1, l, 3, 7
Let h = -378 - -5672/15. Put -1/5, 0.1, 27/8, h in descending order.
27/8, h, 0.1, -1/5
Let t = -13 + 6. Let d = 6.91 + t. Let s = d - -0.59. Put -2/7, 6, s in descending order.
6, s, -2/7
Let l = 0.02 - -2.98. Let w = -175 + 174.796. Let v = 1.104 + w. Put -0.5, l, v in decreasing order.
l, v, -0.5
Let g(q) = -q**2 + 23*q + 57. Let f be g(26). Sort -1, 0, f in ascending order.
f, -1, 0
Let h = -684 + 660. Put -1, 7, h in decreasing order.
7, -1, h
Let b = -285 + 2567/9. Put -6, b, 1.8 in descending order.
1.8, b, -6
Let c = 80.1 - 80.6. Put -3, -187, c in ascending order.
-187, -3, c
Let b = 218 + -227. Let q = -43 - -45. Put 1, q, -1, b in descending order.
q, 1, -1, b
Let g = 186.27 + -186. Sort g, -2, -4, 2 in descending order.
2, g, -2, -4
Let v be 10*(-24)/(-30) - (-1350)/(-165). Suppose 4*i = 2*i + 10, 2*p - 5*i = -35. Let o = 0.6 - -0.3. Sort o, v, p.
p, v, o
Suppose -5*c + 1 = -2*x - 4*c, -4*c - 35 = 5*x. Let q be (5 - 3)/(2/4). Suppose -4*s - 14 = -2*w, 7 = -q*s - 1. Sort x, w, 0.
x, 0, w
Let y be -2*4*2/4. Suppose -3*n + 8*n - 25 = -5*b, n - 13 = -2*b. Put y, b, 2, 1 in increasing order.
y, 1, 2, b
Let q = -39 + 43. Let j = 21 - 18. Suppose i = -i - 2*p, -4*p = 5*i + j. Put 6, q, i in descending order.
6, q, i
Let d be (-2)/11 - 539143/(-1815). Let x = d - 297. Let v = 0.11 - -0.39. Put x, -3/7, v in decreasing order.
v, x, -3/7
Suppose 5*i + 51 = 226. Suppose i - 5 = -5*f. Let u be 10/12 + 4/f. Sort -1/3, u, -1/4 in increasing order.
-1/3, -1/4, u
Let o = 0.31 + 0.09. Let x be (0 - 1)*(-10)/70. Put 0.02, o, x, -1/4 in descending order.
o, x, 0.02, -1/4
Let b = 94/805 + 3/115. Sort b, 3/2, 4, 1 in ascending order.
b, 1, 3/2, 4
Let b = 13 - 12.3. Let a = b - 0.9. Suppose -6 = 3*m - 12. Sort a, m, 1 in descending order.
m, 1, a
Suppose -5*q + 2 = 4*m - 21, 0 = -4*m - q + 11. Suppose -2*g - 4*s + 29 = 9, -5*g - m*s = -18. Sort 1, 12, g in ascending order.
1, g, 12
Suppose -4*g - 2*p + 6 = 0, -2*g - 15 = -3*g - 5*p. Let f be -1 + (-6)/3 + (3 - g). Suppose 5*a - a = -16. Sort 4, f, a.
a, f, 4
Let n be 20/12 + (-3 - (-12)/10). Let g = 364 + -361.03. Let y = g - -0.03. Put -1/3, n, y in ascending order.
-1/3, n, y
Suppose 2020*c = 2016*c - 16. Suppose 5*h - 3*h = 0. Sort c, h, -3/2.
c, -3/2, h
Let h = -13 + 11. Let z be (-2)/(((-4)/8)/(-1)). Sort 3, h, z, 5 in decreasing order.
5, 3, h, z
Let s = -3.41 - 0.59. Let r = 11.8 - -25.2. Put -1, s, r in ascending order.
s, -1, r
Let y be 1872/897 + (-8)/92. Sort -5, y, 171.
-5, y, 171
Let j = -200 + 200. Put j, -3, -2/3 in descending order.
j, -2/3, -3
Let q(s) = -s - 18. Let b be q(-13). Let u(r) = -4*r**2 + 2*r - 1. Let y be u(1). Suppose 0 = 18*m + 7*m + 22*m. Sort b, y, m in decreasing order.
m, y, b
Let z = 6 + -27/5. Sort -5, 0.05, 1, z.
-5, 0.05, z, 1
Let g = -33 - -68. Let i = g - 35.21. Let f = i - -0.25. Sort -4, 0, f in decreasing order.
f, 0, -4
Suppose 9*p - 7*p + 2*c - 4 = 0, -3*p = -2*c + 4. Sort p, 4, 1, 2 in increasing order.
p, 1, 2, 4
Let l = 0.63 + -7.23. Let y = 4.6 + l. Sort 1/6, y, -0.1 in ascending order.
y, -0.1, 1/6
Suppose 5*o + 2*f + 8 = 0, f + 3 + 1 = 2*o. Let i = 4 + o. Sort i, 33, 0.
0, i, 33
Let s = 471/2 + -247. Let f = 12 + s. Let l = -1.06 - 1.94. Sort f, -2/5, l in increasing order.
l, -2/5, f
Let z = -260 - -285.79. Let y = z + -26. Let r = y + -0.19. Sort -4, -2/3, r in descending order.
r, -2/3, -4
Suppose 0 = 4*n - 3*h + 7, 2*h = -5*n + h - 4. Let c = -9.9 - -10.002. Let b = 0.202 - c. Sort n, -0.01, b.
n, -0.01, b
Suppose 4 - 29 = -5*q. Suppose 16*t + 34 = -30. Sort -2, q, t in ascending order.
t, -2, q
Let q be (-4)/6 + (17/(-6) - 5). Let f = -9 - q. Put f, 0, -2/9 in ascending order.
f, -2/9, 0
Suppose s = -2*t - t - 4, 0 = 2*t + 2. Suppose h - 32 = -3*h. Suppose 0*g + 4*u + 24 = -2*g, 3*g + h = u. Put g, s, 5 in ascending order.
g, s, 5
Let f = 0.1 + -0.7. Suppose 2*x - 5 = 3*r + 9, 0 = -3*x + 5*r + 23. Sort 0.3, f, x in descending order.
x, 0.3, f
Let o(t) = 9*t + 44. Let q be o(-20). Let x = q - -549/4. Let b(r) = -r**3 + 4*r**2 - 4*r + 3. Let y be b(2). Sort y, x, -4 in ascending order.
-4, x, y
Suppose 2*u + 7 = 5. Let s(z) = -3*z**3 + 5*z**2 - 6*z + 9. Let t be s(2). Sort 2/3, 0.3, t, u in increasing order.
t, u, 0.3, 2/3
Let u be 6/(-10) + (558/(-120) - -5). Put 0.07, u, -0.5, -4 in decreasing order.
0.07, u, -0.5, -4
Let q be 10/(-3)*(-735)/98. Sort q, 2, 7 in decreasing order.
q, 7, 2
Suppose 7*k - f + 170 = 3*k, -4*k - 164 = -4*f. Let c = k + 42. Let q(x) = -x + 1. Let o be q(1). Put o, c, 5 in increasing order.
c, o, 5
Suppose 18 = 2*n + 2*w - 6*w, -6 = n + 3*w. Put -4, n, -3, 12 in descending order.
12, n, -3, -4
Let x(d) = -2*d**2 - 17*d + 116. Let h be x(-13). Put -0.5, h, -60 in descending order.
-0.5, h, -60
Suppose 3*y + 3 = -4*p + 1, -5*y - 4*p + 2 = 0. Put -0.4, 1.5, y in descending order.
y, 1.5, -0.4
Let k = -17769/5 - -3554. Let t = -56 + 55.73. Sort t, k, 0.
t, 0, k
Let f = 17 + -60. Let v = f + 43.2. Suppose 2*u - 12 = -4*m, u + 0 = 2*m - 6. Put u, v, 0.1 in descending order.
v, 0.1, u
Suppose 3*v = 6*v - 6. Let j be -1 + 3 + -4 + 3. Put -2, v, j in decreasing order.
v, j, -2
Suppose -5*u - 2*q = -229, -5*u + 144 = -2*u - q. Let k = u - 51. Sort k, 25, 3.
k, 3, 25
Let f = 142.2 - 143. Put f, -3, 0.5, 1 in ascending order.
-3, f, 0.5, 1
Let n = 159 + -164. Sort -3, -6, n, 2 in decreasing order.
2, -3, n, -6
Let z = 411 + -413. Sort z, -1, 18.
z, -1, 18
Let f = -399 - -405. Put 0, 5, f, -0.5 in increasing order.
-0.5, 0, 5, f
Suppose -7*m - 95 - 283 = 0. Let y = m - -49. Sort y, 0, -3 in ascending order.
y, -3, 0
Let o be (-32)/(-12)*3/2. Suppose m + 10 = -2*v - 5, o*v = -20. Sort 2, m, -4 in descending order.
2, -4, m
Let k = -0.04 - 0. Suppose h - 1 = 3*w, 6 = -w + 2*h + 9. Sort w, 1, k.
w, k, 1
Let r = 4978/15 - 332. Sort r, -4, 2/9 in decreasing order.
2/9, r, -4
Let u(r) = 0*r**3 + 3*r**3 - 2 - 9*r**3 - 3*r. Let z be u(-1). Let y be z/3 - 16/48. Put -0.5, y, -1 in ascending order.
-1, -0.5, y
Suppose 0*k = -2*k. Suppose k = -2*m - 2*m + 8. Suppose -4*n = 3*z - 22 - 1, 2*n - 12 = -m*z. Put n, -3, -1 in ascending order.
-3, -1, n
Let h(s) be the second derivative of s**4/6 - s**3/6 - 2*s**2 + s. Let a be h(2). Sort a, 3, -1 in ascending order.
-1, a, 3
Let j = -427.6 + 387. Let i = 41 + j. Let l = 4 + -5. Put -0.03, i, l in decreasing order.
i, -0.03, l
Suppose -4*n - 3*d + 13 = 0, 2 + 6 = 5*n + d. Suppose 7 + n = 4*f. Suppose -2*q + 0 - f = 0. Sort 1, q, 4 in descending order.
4, 1, q
Let n = 5 - 5.1. Let j = 87 - 347/4. Let g be -6*((-20)/16)/(-5). Sort n, g, j.
g, n, j
Let s be (2 + -4 - -1)*-1. Let z be (-2 - s)/3 - -1. Let r = -158 - -160. Sort 0.2, z, r in ascending order.
z, 0.2, r
Let g = -288 + 293. Let v(l) = l - 2. Let i be v(6). Put g, i, -3, -5 in descending order.
g, i, -3, -5
Suppose h + 20 = -4*h. Let f = -305 + 306. Sort h, f, -2, 3 in descending order.
3, f, -2, h
Let h(x) = -5*x - 18. Let w be h(-4). Sort w, 0, -38.
-38, 0, w
Let q(l) = -43*l - 127. Let t be q(-3). Let a = 2 - 2. Put a, 3, t, -2 in ascending order.
-2, a, t, 3
Let w(s) = -s**3 + 17*s**2 + 2*s - 37. Let d be w(17). Let v(l) = l**3 + 4*l**2 - l - 3. Let c be v(d). Suppose 2*o + 13 = 3. Put o, -2, c in decreasing order.
c, -2, o
Suppose 5*v - 3*v = -10. Let n = 1753/2285 + 15/457. Sort 1/4, v, n in descending order.
n, 1/4, v
Let r(k) = k**3 + 11*k**2 + 11*k + 8. Let g be r(-10). Let p be g/9 - 180/(-81). Let s = 16 - 12. Put s, -3, p in ascending order.
-3, p, s
Let y = 1 + 0. Let n be ((-1)/y)/(42/7). Let x = -5 - -3. Sort -5, n, x in decreasing order.
n, x, -5
Let k(t) = 5*t - 6. Suppose w - 6 = -w. Let h be k(w). Let p be (-1)/((4 + -7)/h). Put 4, p, -3/8 in ascending order.
-3/8, p, 4
Let l = -0.17 - 4.83. Put -4, l, 3 in ascending order.
l, -4, 3
Suppose -14 - 18 = -2*h. Let c be (-18)/h - (-36)/48. Let f = -1/15 - -7/15. Sort c, 0.1, f.
c, 0.1, f
Let b = -328 + 312.3. Let w = -3 + b. Let z = w - -19. Put 5, z, 0.4 in increasing order.
z, 0.4, 5
Let w(l) = l**3 - 3*l**2 + 2*l - 5. Let j be w(3). Let n(y) = -y**3 + 7*y**2 - 5*y + 10. Let v be n(7). Sort v, j, 4 in decreasing order.
4, j, v
Let r = 0.015 + -32.015. Let f = r + 33. Let g = 2 - 1.9. Sort f, g, -0.1 in ascending order.
-0.1, g, f
Let i(p) = 11*p - 368. Le | {
"pile_set_name": "DM Mathematics"
} |
3*u. Give v(u).
-6
Let k(v) = -v**2 + 2*v - 2. Suppose -37*x = -3*x - 170. What is k(x)?
-17
Suppose -5*f + f + 16 = 0. Suppose f*q + m = 3*m - 38, -3*q - 33 = -3*m. Let w(p) = p**2 + 7*p - 8. Determine w(q).
0
Let b = 761 + -757. Let z(u) = u**3 - 4*u**2 + 5*u + 2. Determine z(b).
22
Suppose 20*j = -270 + 250. Let z(y) = -y**3 - 2*y**2 - 4*y - 2. Calculate z(j).
1
Let l(o) = -2 + o**2 + 40*o - 47*o - 4. Suppose 19 = 2*x + 3. Calculate l(x).
2
Let t(h) = -h - 9. Let r(n) = -n - 7. Let i(w) = -4*r(w) + 3*t(w). Give i(-8).
-7
Let b be (-8)/(-44) - (-140)/77. Let t(h) be the second derivative of 0 + 3*h**b - 3*h - 1/2*h**3. Determine t(5).
-9
Let w be (24/36)/((-4)/66). Let r = -3 - w. Let f(b) = b**3 - 7*b**2 - 9*b + 8. What is f(r)?
0
Let m = 11 - 9. Let j(q) be the second derivative of -q**5/60 + q**4/24 - q**3/6 + 3*q**2/2 + 6*q. Let n(a) be the first derivative of j(a). What is n(m)?
-3
Let m(d) = -6*d - 1. Let y = 344 - 340. Calculate m(y).
-25
Let x(p) = -p. Let s = 45 + 4. Suppose 6*m - 3*m - 5*l - 11 = 0, 2*m + 5*l = s. Let k = -7 + m. Calculate x(k).
-5
Let l(x) = 8*x**2 + 11*x + 3. Let g(k) = -22*k**2 - 34*k - 8. Let q(h) = -3*g(h) - 8*l(h). Calculate q(-7).
0
Let s(n) = -n**2 - 9*n - 13. Suppose 0 = 22*o + 7*o + 290. What is s(o)?
-23
Suppose -2*f + 5*f = -42. Let n be f/12 + 10/60. Let x(q) = -20*q**2 + q. Calculate x(n).
-21
Let a(f) = 19*f + 1. Let p(o) = -2*o**3 + 16*o**2 + 2*o - 15. Let s be p(8). What is a(s)?
20
Let b be (3 + (-4 - -1))/1. Let f be (-1*(1 + b))/((-14)/(-98)). Let j(y) = y**3 + 8*y**2 + 8*y + 10. Calculate j(f).
3
Let l(s) = 3*s**3 - s**2 - 3*s + 3. Let i be (-4)/(-14) + 144/84. What is l(i)?
17
Let c(f) = -f**3 + 5*f**2 + 4*f - 1. Let h(a) = a**2 - 9*a + 7. Let q be h(9). Let b = q + -4. Suppose -3*d - 21 = -b*s - 0*d, -5*s + 3*d + 33 = 0. Give c(s).
-13
Let m(l) = 1779*l**2 - 3563*l**2 - 4*l - 8*l + 1783*l**2 - 7. Let d(b) = -11*b**3 - b**2 + 2*b - 1. Let u be d(1). Determine m(u).
4
Let r(q) be the third derivative of q**6/120 - q**5/6 - q**4/12 + 5*q**3/6 - 19*q**2. What is r(10)?
-15
Suppose 17 + 7 = 4*g. Suppose -2*t - 64 = -g*y + 3*y, -4*t = 3*y - 34. Let n(f) = f + 11*f**2 - y*f**2 + f**3 + 7 + 4*f. What is n(6)?
1
Let o(k) = 14*k**2 - 1 - 14*k + 12 + 388*k**3 - 1 - 389*k**3. What is o(13)?
-3
Let j(u) = u**3 - 5*u**2 + 4*u + 1. Let q(f) = -f**3 - 12*f**2 - 11*f + 2. Let d be q(-11). Let o(c) = d - 3*c - 1 + 4*c. Let x be o(2). Give j(x).
-5
Suppose 0 = -h + 5, -h - 2*h = -2*g + 31. Let q = g - 27. Let u(b) = -b**2 - 4*b + 3. Give u(q).
3
Let v be (1 + 29/3)*(-585)/(-39). Let u(n) = v*n - 81*n - 82*n + 5. Determine u(4).
-7
Let s(p) = 8*p + 39. Let a be (((-480)/(-45))/16)/((-2)/12). Calculate s(a).
7
Let w(z) = z + 4. Let r(n) = -n - 1. Let x(l) = 2*r(l) + w(l). Let p = 19 + -13. Give x(p).
-4
Suppose -f - 7 = -4*u, 0 = -9*f + 4*f + 2*u - 17. Let a(y) = y**2 + 5*y + 12. What is a(f)?
6
Let s = -23435 - -23439. Let a(b) = -b**3 - 5*b**2 + 5*b - 2*b + 2*b**3. Calculate a(s).
-4
Let f(u) = -u**3 + 13*u**2 + 14*u + 2. Suppose -40 = 8*c - 152. Determine f(c).
2
Suppose -i + 14 = -2*f - 0, -3*i = -3*f - 33. Let o(k) = k**2 - 8*k - 3. Give o(i).
-3
Let u(h) = 6*h - 3 - 27*h + 13*h + 9*h. Calculate u(3).
0
Let y(a) = -6*a. Suppose 17*j = 14*j. Suppose j*v - 3*v = -15. Suppose -2*q - 3 = -v*q. Determine y(q).
-6
Let s(i) = 24*i + 1. Let f(r) = -61*r - 3. Let c(l) = -2*f(l) - 5*s(l). Let x be 28/20 + 2/(-5). Calculate c(x).
3
Let h be ((-3)/(-45))/((-3)/(-15))*(-7 - 11). Let u(o) = 3*o**2 + o. Let q(l) = 2*l**2 + 1. Let b(i) = -4*q(i) + 3*u(i). Give b(h).
14
Let h(x) = 10*x**2 + 4*x - 3. Let v(u) = -19*u**2 - 7*u + 5. Suppose 0 = -4*b + 14 + 14. Let y(p) = b*h(p) + 4*v(p). Give y(-1).
-7
Suppose 4*l + 85 = 9*l. Suppose -3*x = l - 2. Let z(m) = -2*m. What is z(x)?
10
Suppose -3*w = -6*w - 3*s, 0 = -5*w - 3*s + 4. Let p(f) = 0 + f + f**2 - 3 + w. Let b(q) = 3*q**2 + 6*q - 8. Let o(t) = b(t) - 2*p(t). What is o(-6)?
6
Let b(a) = -a**2 + 9*a - 4. Let u(k) = -k**2 + 4 - 7 - 29*k - 12 - 6. Let x be u(-28). Determine b(x).
10
Let s(n) = 2*n**3 + 3*n**2 - 3*n + 4. Suppose -3*v + 6 = 0, 4*v - 4 = 3*j + 13. Give s(j).
-14
Let v(k) be the second derivative of -k**4/12 + 5*k**3/2 - 2*k**2 + 90*k + 1. What is v(12)?
32
Let p(l) = l**2 + 6*l - 1. Let r(x) = -x + 12. Suppose 0*y - 3*z = y - 2, 0 = -3*y - z + 46. Let o be r(y). Give p(o).
-6
Suppose 18 = -4*t + t. Let h(l) = 4*l + 18. Give h(t).
-6
Let k(l) be the third derivative of -l**6/40 - 4*l**5/15 + 11*l**4/24 - l**3/6 + 20*l**2 + 4. Calculate k(-6).
5
Let g(r) be the third derivative of 5*r**4/6 + 2*r**2. Let p(u) be the second derivative of 5*u**3/3 - 2*u - 31. Let h(z) = -6*g(z) + 13*p(z). What is h(1)?
10
Let g(h) = -h**3 - 5*h**2 - 2. Let u(v) = v**3 + 5*v**2 + 4*v + 9. Let w be u(-5). Let i = w + 8. What is g(i)?
-20
Let l(s) = 3*s**2 - 56*s - 75. Let w be l(20). Let j(v) be the second derivative of -1/6*v**4 - w*v + 0 - v**3 - 3/2*v**2. Determine j(-4).
-11
Suppose -15*c + 24*c = -72. Let r(h) = h + 2. Determine r(c).
-6
Let h(t) = 2*t**2 + 16*t + 5. Let p = 443 - 450. Give h(p).
-9
Let v(n) = n - 2*n + 4*n. Let k be (-2)/5 - (-2)/5. Suppose d + 8 - 4 = k. Determine v(d).
-12
Let y(j) = -5*j**3 - j - 1. Let q = -1052 + 1050. What is y(q)?
41
Let i(k) be the first derivative of -k**6/360 + k**5/24 + k**4/12 + 4*k**3 + 8. Let t(c) be the third derivative of i(c). Calculate t(4).
6
Let w(t) be the first derivative of t**3/3 - t**2/2 + t - 19. Let u(k) = 4*k**2 - 9*k + 9. Let p(v) = -u(v) + 6*w(v). What is p(-3)?
6
Suppose 164 - 52 = 4*g. Suppose g*h - 25*h = 3. Let t(r) = -5*r + 1. Give t(h).
-4
Let u(y) = -5*y + 2. Let n(l) = -6*l + 123. Let b be n(20). Give u(b).
-13
Suppose 5*g = -3*j - 9, -g - 15 = 5*j - 0. Suppose 0 = s - 5*f - g*f + 14, -5*s - 2*f = -11. Let a(l) = -9*l**2 - 2*l + 1. Give a(s).
-10
Let p = 33 + -28. Let g(k) be the second derivative of -3*k**2 - 5*k + k**3 + 0 - 1/12*k**4. Calculate g(p).
-1
Let y(d) be the second derivative of -5*d**3/6 + 5*d**2/2 - 5*d. Let m be 2 - (-21)/(-9 - -16). Give y(m).
-20
Let t(l) = -l**2 - 2*l + 5. Let k be (-6)/8*(-3104)/(-582). Calculate t(k).
-3
Suppose 0 = -i + 2 - 17. Let h be (16/(-10))/(6/i). Let y(o) = -13*o**2 + 3*o - 3. Let n(b) = 2*b**2 + 1. Let z(v) = -6*n(v) - y(v). Give z(h).
1
Let q(u) = -13*u**2 - u + 1. Suppose 9*s = 2*d + 13*s - 14, -1 = 5*d - 2*s. Determine q(d).
-13
Let p(z) = z**3 - 5*z + 2. Let w be p(-2). Suppose w*t - 18 + 6 = 0. Let a(m) be the second derivative of m**5/20 - m**4/4 - m**3/2 - m**2/2 - m. Give a(t).
-10
Let a(q) = -18 + 5*q**2 - 4*q**2 + 16. Suppose -3*j - 1 = 5. Determine a(j).
2
Let l(t) = -4 + 647*t - 642*t + 0. What is l(1)?
1
Let d(r) = 3*r - 9. Let m be d(3). Let q(a) be the third derivative of -1/6*a**3 + 1/24*a**4 + m*a - 2*a**2 + 0. Give q(-5).
-6
Let z(c) = 7*c + 17. Let a(n) = -n - 5. Let w(t) = 6*a(t) + z(t). Let g be (-69)/(-12) + (-2)/(-8). Determine w(g).
-7
Let p(z) = -2*z**3 + 4*z**2 + 8*z - 23. Let g(u) = -3*u**3 + 9*u**2 + 15*u - 45. Let n(x) = -3*g(x) + 5*p(x). Let y be n(-5). Let a(s) = -s. Calculate a(y).
5
Let j = 628 - 634. Let b(q) = q**2 + 5*q - 10. Calculate b(j).
-4
Let k(t) be the third derivative of -t**4/3 + 43*t**3/6 - 9*t**2. What is k(5)?
3
Let c(h) = h**2 - 19*h - 41. Suppose -14*j + 63 = -231. Calculate c(j).
1
Let q(m) be the third derivative of -m**4/24 - m**3/6 - 12*m**2. Give q(-8).
7
Let f(b) = 3*b**2 + 13*b + 3. Let z(d) = d**2 + 2*d - 1. Let x(i) = f(i) - 4*z(i). Determine x(6).
1
Suppose 0 = -2*b, -f - 5*b + 0 = -1. Let j(s) be the second derivative of -s**3/2 - s**2/2 - 675*s. Determine j(f).
-4
Let v(b) = -3*b**2 - 12*b - 14. Let f be v(-8). Let h = -107 - f. Let n(a) = 0 + 5*a - 1 - 2. Give n(h).
12
Let y(v) be the second derivative of v**5/20 + 3*v**4/2 + 9*v**2/2 - 2*v + 17. Calculate y(-18).
9
Let t(g) be the third derivative of g**5/60 + g**4/12 - 4*g**3/3 - 14*g**2. Let l(q) be the first derivative of t(q). Calculate l(-6).
-10
Let t(d) be the second derivative of -d**6/120 + 2*d**5/15 - d**4/3 + 4*d**3/3 - 9*d**2 + 14*d. Let h(q) be the first derivative of t(q). Calculate h(7).
1
Let p(m) = -6*m. Let s(y) = 27*y + 105. Let n be s(-4). Determine p(n).
18
Let o(j) = -4*j + 1. Let m(u) = 12*u - 2. Let q(n) = 3*m(n) + 10*o | {
"pile_set_name": "DM Mathematics"
} |
, -8976, -19370, -32074, -47088?
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108506
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921424
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-3204361
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420663
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-91724
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1618776466
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23313806
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273424
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21120741
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899526344
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438609
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-16848117
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209893
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259871
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"pile_set_name": "DM Mathematics"
} |
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-92511
What is next in 3016811, 3016820, 3016843, 3016886, 3016955, 3017056, 3017195, 3017378?
3017611
What is the next term in 1464912, 1464903, 1464894, 1464885, 1464876?
1464867
What is the next term in -45192653, -45192658, -45192663, -45192668, -45192673?
-45192678
What is the next term in -392, -1305, -2270, -3287, -4356, -5477, -6650?
-7875
What is next in 134, -146, -430, -718, -1010, -1306, -1606?
-1910
What comes next: -96421452, -96421453, -96421454, -96421455, -96421456, -96421457?
-96421458
What comes next: -3100953, -3100957, -3100961, -3100965, -3100969, -3100973?
-3100977
What is the next term in -37294, -74565, -111830, -149089, -186342?
-223589
What is next in 665, 4509, 14733, 34535, 67113, 115665, 183389?
273483
What is the next term in 158315, 153702, 149089?
144476
What is next in 73, 496, 1691, 4042, 7933, 13748?
21871
What is next in 4759475, 4759488, 4759501, 4759514, 4759527, 4759540?
4759553
What comes next: 7021, 12250, 15693, 17350, 17221, 15306?
11605
What is next in -47568, -46901, -45784, -44211, -42176, -39673, -36696, -33239?
-29296
What is the next term in -292257491, -292257490, -292257489, -292257488, -292257487, -292257486?
-292257485
What is next in -9462, -78559, -266132, -631425, -1233682, -2132147, -3386064, -5054677?
-7197230
What comes next: -10226, -41417, -93398, -166169?
-259730
What is next in -1771, -9199, -21581, -38917, -61207, -88451, -120649?
-157801
What comes next: -6339543, -6339539, -6339535, -6339531, -6339527, -6339523?
-6339519
What is next in 121176, 120936, 120284, 119016, 116928, 113816?
109476
What is the next term in 123216489, 246432979, 369649469, 492865959?
616082449
What is the next term in -1121, -4121, -9119, -16121, -25133, -36161?
-49211
What is the next term in 940, 7709, 26154, 62119, 121448, 209985, 333574, 498059?
709284
What is the next term in 10919008, 10919018, 10919028, 10919038, 10919048?
10919058
What is next in 3882316, 3882405, 3882494, 3882583?
3882672
What is the next term in 895, 7246, 24475, 58018, 113311?
195790
What comes next: -12356373, -24712749, -37069125, -49425501, -61781877, -74138253?
-86494629
What is the next term in 255391, 254561, 253731?
252901
What is next in 4865, 10426, 16317, 22532, 29065, 35910, 43061, 50512?
58257
What is the next term in -3374, -3249, -2996, -2615, -2106, -1469?
-704
What is next in 85619, 85552, 85485, 85418?
85351
What comes next: 26024, 104001, 233964, 415913?
649848
What is the next term in 916, 3347, 7312, 12811, 19844, 28411?
38512
What is next in -76992423, -307969698, -692931823, -1231878798, -1924810623?
-2771727298
What is next in 4483, 16603, 36575, 64393, 100051, 143543?
194863
What is the next term in 31038, 56817, 82596, 108375, 134154?
159933
What is next in 71780, 71775, 71772, 71777, 71796?
71835
What comes next: 16541, 13535, 10527, 7517, 4505?
1491
What is next in -240796, -481398, -721998, -962596, -1203192, -1443786?
-1684378
What comes next: 32659645, 65319278, 97978911, 130638544?
163298177
What is next in 125658, 251291, 376924, 502557, 628190, 753823?
879456
What is next in -25801695, -51603391, -77405087?
-103206783
What is next in 1825, 5748, 11771, 19894, 30117, 42440?
56863
What comes next: 6712330, 6712335, 6712340, 6712345, 6712350, 6712355?
6712360
What comes next: -8059, -17060, -27023, -37954, -49859, -62744?
-76615
What is next in 251825, 503641, 755459, 1007279, 1259101, 1510925, 1762751?
2014579
What comes next: 225, 675, 1129, 1593, 2073?
2575
What is the next term in 3288, 6697, 10102, 13503, 16900, 20293, 23682?
27067
What is the next term in -28829, -50556, -72283?
-94010
What comes next: -953282, -953274, -953266, -953258, -953250?
-953242
What is next in -5637, -6614, -7591?
-8568
What is next in -1738, -1816, -2116, -2644, -3406, -4408, -5656?
-7156
What is next in -488, -1293, -2420, -3869, -5640, -7733, -10148?
-12885
What is next in 22966, 184186, 622204, 1475554, 2882770, 4982386, 7912936, 11812954?
16820974
What comes next: 412179, 412046, 411913?
411780
What comes next: 4513537, 4513545, 4513553, 4513561, 4513569?
4513577
What comes next: 995757, 3982816, 8961245, 15931044, 24892213, 35844752?
48788661
What is next in -962, -1102, -1330, -1694, -2242, -3022, -4082?
-5470
What is the next term in 13544, 13337, 13108, 12857, 12584, 12289?
11972
What comes next: 1736241, 1736257, 1736285, 1736325, 1736377, 1736441, 1736517?
1736605
What is next in -1344207, -10753837, -36294299, -86031009, -168029383?
-290354837
What is next in -1363345, -2726696, -4090049, -5453404, -6816761, -8180120?
-9543481
What is next in 26797, 108462, 244643, 435346, 680577, 980342, 1334647?
1743498
What is the next term in 6710, 6846, 6982, 7118?
7254
What is the next term in -284780196, -569560390, -854340584, -1139120778?
-1423900972
What comes next: 9807, 19173, 28539, 37905, 47271, 56637?
66003
What is next in 93176, 93168, 93156, 93134, 93096?
93036
What is next in -67209, -63369, -59529, -55689, -51849?
-48009
What comes next: 319257, 319081, 318905, 318729, 318553?
318377
What is the next term in 91507, 365978, 823427, 1463854?
2287259
What is the next term in -9027, -17594, -25697, -33336, -40511, -47222, -53469?
-59252
What comes next: -4033, -3235, -2155, -787, 875, 2837, 5105, 7685?
10583
What comes next: -427, -526, -699, -946, -1267?
-1662
What is next in -318643, -318612, -318553, -318460, -318327, -318148, -317917?
-317628
What is the next term in 2518300, 2518367, 2518420, 2518453, 2518460, 2518435, 2518372?
2518265
What comes next: 17365302, 17365299, 17365296, 17365293, 17365290, 17365287?
17365284
What is the next term in 23490, 22556, 21622, 20688, 19754, 18820?
17886
What is the next term in -217374, -434724, -652074, -869424, -1086774?
-1304124
What comes next: 13784602, 27569205, 41353808, 55138411, 68923014, 82707617?
96492220
What is next in -348, -690, -1034, -1380?
-1728
What is next in 36333, 72713, 109131, 145587, 182081, 218613, 255183?
291791
What is next in -312, -432, -190, 588, 2076?
4448
What comes next: 785613, 1571213, 2356755, 3142209, 3927545?
4712733
What is the next term in 61469, 122909, 184321, 245705, 307061, 368389?
429689
What comes next: -10484, -83840, -282872, -670394, -1309220, -2262164, -3592040, -5361662?
-7633844
What comes next: 608145, 2432545, 5473213, 9730149, 15203353, 21892825?
29798565
What comes next: -51989, -54225, -56447, -58649, -60825?
-62969
What is next in 104, 126, 164, 230, 336, 494?
716
What comes next: -5728237, -11456471, -17184705, -22912939, -28641173?
-34369407
What is next in -3855, -1165, 1535, 4251, 6989, 9755?
12555
What is next in -167, 49, 247, 427, 589, 733?
859
What is the next term in 277344, 1109402, 2496296, 4438134, 6935024, 9987074?
13594392
What is next in -368160, -736413, -1104856, -1473585, -1842696, -2212285, -2582448, -295 | {
"pile_set_name": "DM Mathematics"
} |
at is 2018 - -18?
2032
In base 15, what is -39e - -1e?
-380
In base 4, what is -311130 + 3?
-311121
In base 8, what is -103 + -2353?
-2456
In base 4, what is -1001013 - -12?
-1001001
In base 12, what is 15132 - 7?
15127
In base 12, what is -20022 + -4?
-20026
In base 5, what is 321421 + 43?
322014
In base 11, what is -27 - -2681?
2655
In base 3, what is 2 + -11101122120?
-11101122111
In base 12, what is -108 + -156?
-262
In base 9, what is -14784880 + 3?
-14784876
In base 13, what is 87 - c2?
-38
In base 11, what is 2 + 771a?
7721
In base 14, what is 4 + 164bd?
164c3
In base 4, what is -1 + 12120031?
12120030
In base 7, what is 1115155 + -25?
1115130
In base 9, what is -185436 + -4?
-185441
In base 6, what is 5 - 1305544?
-1305535
In base 4, what is -2 - 12001?
-12003
In base 6, what is -4 - -5304330?
5304322
In base 13, what is 1164 - -18b?
1322
In base 14, what is -1386 + -17?
-139d
In base 7, what is 13300 - -62?
13362
In base 14, what is 3149 + 2?
314b
In base 2, what is 1011111110110 + 111?
1011111111101
In base 2, what is -11111111010101011 + 0?
-11111111010101011
In base 15, what is 1368b0 - -5?
1368b5
In base 12, what is -2224b - -18?
-22233
In base 3, what is 111 - -1000110121?
1000111002
In base 9, what is 506854 + 3?
506857
In base 16, what is -2d53 - a?
-2d5d
In base 13, what is 11 - -9b37?
9b48
In base 16, what is -2690 + -19?
-26a9
In base 15, what is cb0e + 1?
cb10
In base 4, what is -13132131331 - 3?
-13132132000
In base 16, what is 7 - 1c4e?
-1c47
In base 2, what is 1010111010 - 111?
1010110011
In base 8, what is -2463 + 701?
-1562
In base 15, what is 4 + -34e09?
-34e05
In base 16, what is -3 - 35fb?
-35fe
In base 13, what is 19178 + 2?
1917a
In base 9, what is 58 + -11561?
-11502
In base 14, what is 8aa + 28b?
b57
In base 12, what is -346b - -1a1?
-328a
In base 15, what is 18b3 + -2?
18b1
In base 4, what is 32030002130 - -3?
32030002133
In base 9, what is 23620 - -17?
23637
In base 6, what is -14522 - 1030?
-15552
In base 4, what is 311 + -1021103?
-1020132
In base 15, what is -265 + 4?
-261
In base 5, what is 101 - 2224244?
-2224143
In base 6, what is -223 - -23035?
22412
In base 2, what is -10000001001011 + 11001?
-10000000110010
In base 6, what is -24 + 1141?
1113
In base 12, what is 2b2676 + -1?
2b2675
In base 10, what is -25 - -92879?
92854
In base 16, what is 5 + -fc402?
-fc3fd
In base 15, what is -105 - -86?
-6e
In base 14, what is -da0a + 0?
-da0a
In base 2, what is 1101 - -101011111000?
101100000101
In base 13, what is -37 + 3430b?
342a4
In base 8, what is -3254035 - -4?
-3254031
In base 5, what is -3 + 1102433?
1102430
In base 11, what is -16 - 184a6?
-18511
In base 9, what is 34 - -7620?
7654
In base 14, what is 2087 - -3?
208a
In base 8, what is 0 - 147042?
-147042
In base 13, what is 4c3b - -6?
4c44
In base 7, what is -3 + 6?
3
In base 7, what is 256045 - 3?
256042
In base 6, what is 10 + -145343?
-145333
In base 16, what is 0 - -2e442?
2e442
In base 11, what is -76642a - 3?
-766432
In base 5, what is -124113312 + -3?
-124113320
In base 15, what is -5dd + -61e?
-c0c
In base 14, what is -420b7 + a?
-420ab
In base 16, what is 1 + -62b33?
-62b32
In base 7, what is 406563 - -2?
406565
In base 10, what is 5504 - 4?
5500
In base 10, what is 119316 - 0?
119316
In base 16, what is 6cbc + -4?
6cb8
In base 6, what is 3 + 230442?
230445
In base 13, what is 9741 + -9?
9735
In base 9, what is 26 + -1718?
-1682
In base 12, what is -1a123 - 6?
-1a129
In base 10, what is 1 - 72383?
-72382
In base 15, what is -8000 - -3?
-7eec
In base 3, what is 1 + 100110220?
100110221
In base 6, what is 13203 + -221?
12542
In base 10, what is -1 + 21337?
21336
In base 2, what is 11111100110 - -11111100?
100011100010
In base 7, what is 4435 - 130?
4305
In base 6, what is -304504 + 14?
-304450
In base 3, what is -1120110202 + -20222?
-1120201201
In base 11, what is 81 + 208?
289
In base 8, what is -44741 + 31?
-44710
In base 14, what is 8641 - -6?
8647
In base 10, what is 3 - 4593?
-4590
In base 10, what is 50 - 958?
-908
In base 11, what is 65a62 + 4?
65a66
In base 13, what is -2c + -5a8?
-607
In base 10, what is 25093 + -8?
25085
In base 4, what is 0 + -1023103?
-1023103
In base 13, what is -158 - 23?
-17b
In base 5, what is 0 - 1321442?
-1321442
In base 8, what is 30367 - 44?
30323
In base 8, what is 755331 - -4?
755335
In base 6, what is -1012 - 21441?
-22453
In base 12, what is -2a + 41?
13
In base 14, what is 3 + -65bc?
-65b9
In base 11, what is -4808 - 6?
-4813
In base 7, what is 500 - 660?
-160
In base 2, what is -100100010110010011 + -10?
-100100010110010101
In base 10, what is 35667 + 1?
35668
In base 3, what is 10001 - -1010221?
1020222
In base 14, what is -1c9 - -65d?
474
In base 5, what is -10 + 403344?
403334
In base 10, what is -56756 - 2?
-56758
In base 9, what is -4 - -215572?
215567
In base 15, what is -8caa2 + 5?
-8ca9c
In base 2, what is 11000000000 + 1000?
11000001000
In base 9, what is -146 - 582?
-738
In base 5, what is -33400 - 44?
-33444
In base 4, what is -32302 + -1322?
-100230
In base 3, what is 1022 + 1002200200?
1002201222
In base 7, what is -21 - 456562?
-456613
In base 2, what is -1001101010111100001 - -1?
-1001101010111100000
In base 10, what is -760 - 133?
-893
In base 3, what is 1 - 101002121?
-101002120
In base 5, what is 4 + 2413313?
2413322
In base 7, what is -3 - 301425?
-301431
In base 16, what is 2f - 8e?
-5f
In base 13, what is -5 + 237654?
23764c
In base 9, what is -2163 - -1113?
-1050
In base 10, what is -43 + 107?
64
In base 6, what is -42 - 10551?
-11033
In base 13, what is -4 + 3a71?
3a6a
In base 8, what is 166 - 50?
116
In base 11, what is 1377 + -139?
1239
In base 11, what is -3a1647 - -2?
-3a1645
In base 2, what is 100011000011001010 - 101?
100011000011000101
In base 14, what is -6549 + 3?
-6546
In base 5, what is -4134 + 30?
-4104
In base 16, what is -1aa66 - -c?
-1aa5a
In base 10, what is -8825 + -10?
-8835
In base 2, what is -11011011110 - -1011?
-11011010011
In base 8, what is 10 - -13530?
13540
In base 12, what is 12 - -28a86?
28a98
In base 13, what is -977 - -24?
-953
In base 4, what is 30 - -21323030?
21323120
In base 3, what is -120200022 + 2210?
-120120112
In base 6, what is -22 - 1150?
-1212
In base 4, what is 3213100 + 10?
3213110
In base 7, what is -352 - -62311?
61626
In base 14, what is 57a0 - -14d?
590d
In base 10, what is -2034 - 17?
-2051
In base 10, what is 17313 - -13?
17326
In base 5, what is 4 + -1322031?
-1322022
In base 16, what is -3 + 2e82?
2e7f
In base 6, what is 1213244 - -5?
1213253
In base 6, what is 1023554 + -31?
1023523
In base 10, what is 1 + 28313?
28314
In base 7, what is -42126 + 122?
-42004
In base 15, what is -3 - 436?
-439
In base 4, what is 20300032 + 0?
20300032
In base 5, what is -12 + -1130?
-1142
In base 16, what is -33d1 + -d?
-33de
In base 6, what is -203 + -45?
-252
In base 6, what is 3030 - -33?
3103
In base 13, what is 4 + -6516?
-6512
In base 2, what is -1011101000100100001 - 10?
-1011101000100100011
In base 13, what is -9 - 38aa?
-38b6
In base 10, what is 498 + 234?
732
In base 10, what is -64 + 2196?
2132
In base 14, what is -ba336 - 5?
-ba33b
In base 3, what is 10 + 111002220?
111010000
In base 5, what is -3123341 - -4?
-3123332
In base 8, what is 310 - -12340?
12650
In base 14, what is 98 + -da?
-42
In base 15, what is 1adc - e?
1acd
In base 7, what is -4214255 - -2?
-4214253
In base 15, what is 3b + -562?
-526
In base 3, what is 111211120 - 11?
111211102
In base 16, what is 109f + -6?
1099
In base 12, what is 7a7 + -7?
7a0
In base 7, what is -3 + -252142?
-252145
In base 10, what is 132523 + -9?
132514
In base 9, what is 3 + -2523416?
-2523413
In base 8, what is -24765 + 114?
-24651
In base 3, what is 100010 - -101?
100111
In base 15, what is 1847a + -5?
18475
In base 3, what is -2000010 + 101?
-1222202
In base 13, what is 0 + -12368?
-12368
In base 6, what is 23340 - -152?
23532
In base 2, what is 11001110111 - -100011110?
11110010101
In base 15, what is -17b6a - 4?
-17b6e
In base 15, what is -1184e - -5?
-11849
In base 13, what is -3 + 234?
231
In base 12, what is -29 - -5316?
52a9
In base 10, what is 1 + -17655?
-17654
In base 5, what is -40043 - 143?
-40241
In base 4, what is 201202023 + -13?
201202010
In base 9, what is 52 + 2868?
30 | {
"pile_set_name": "DM Mathematics"
} |
rivative of 1 + 0*m - 2/3*m**3 + u*m**2. Factor f(y).
-2*y**2
Let w be (-2)/(-3)*522/1. Find m, given that 9*m**4 + 12*m**4 - w*m**5 + 336*m**5 + 6*m**3 = 0.
-1/4, 0, 2
Let z(l) be the first derivative of 3*l**2 - 2/3*l**3 - 3 + 8*l. Find s such that z(s) = 0.
-1, 4
Suppose -12 = -5*s + 8. Factor -4*x**4 - s + 4 + 2*x**4.
-2*x**4
Let t = -122 - -611/5. Let z(a) be the first derivative of -8/15*a**3 + 5 + 0*a + t*a**2. Factor z(n).
-2*n*(4*n - 1)/5
Let o be ((-2)/4)/(3/54). Let m = 12 + o. Determine c, given that c**2 - c**3 - c**3 + 2*c**m + c**3 = 0.
-1, 0
Factor 448*g**2 + 439*g + 23*g - 451*g**2 + 168 - 627.
-3*(g - 153)*(g - 1)
Let l = 686 + -684. Determine d so that 5/4*d**3 + 15/4*d - 5/4 - 15/4*d**l = 0.
1
Factor 3*s**5 + 6*s**4 - s**4 + 0*s**5 + 4*s**4 - 9*s**2 + 12*s - 15*s**3.
3*s*(s - 1)**2*(s + 1)*(s + 4)
Let q(w) be the third derivative of w**8/1008 - 29*w**7/1260 + 7*w**6/80 - 7*w**5/72 - 13*w**4/144 + w**3/3 + 32*w**2 + 2*w. Let q(g) = 0. Calculate g.
-1/2, 1, 12
Let h(b) be the third derivative of 2*b**7/735 + b**6/70 + b**5/35 + b**4/42 - 7*b**2 + 2. Factor h(t).
4*t*(t + 1)**3/7
Let p(g) be the first derivative of g**6/120 - 2*g**5/15 - 3*g**4/8 + 2*g**2 - 2*g + 35. Let x(r) be the second derivative of p(r). Factor x(k).
k*(k - 9)*(k + 1)
Let d(s) = -2*s**3 - 15*s**2 + 8*s + 2. Let w be d(-8). Let l(y) be the third derivative of 0 + 0*y + 1/168*y**4 - 1/420*y**5 + w*y**2 + 1/21*y**3. Factor l(n).
-(n - 2)*(n + 1)/7
Factor 0 - 4/3*q**2 + 20/3*q**3 - 32/3*q**4 + 16/3*q**5 + 0*q.
4*q**2*(q - 1)*(2*q - 1)**2/3
Let r(j) be the third derivative of j**5/240 + j**4/32 - 9*j**3/4 - 3*j**2 - 24*j. Factor r(u).
(u - 6)*(u + 9)/4
Let c(d) be the second derivative of -d**5/30 - 19*d**4/6 - 99*d**3 - 729*d**2 + 577*d. Factor c(n).
-2*(n + 3)*(n + 27)**2/3
Let r(x) = 3*x**3 + 9*x**2 + 2. Let g(u) = -16*u**3 - 43*u**2 - 11. Let l(s) = -4*g(s) - 22*r(s). Determine y so that l(y) = 0.
-13, 0
Let a be (16/12)/((-12)/(-549)). Let y be (2/(-1))/2 - (a - 64). Let 0 + 0*o**y + 2/3*o**4 + 0*o + 0*o**3 = 0. Calculate o.
0
Suppose -14/5*v - 36/5 + 2/5*v**2 = 0. Calculate v.
-2, 9
Let t(p) = -4*p**2 + 3 + p**2 + 7*p**2 - 8*p**2. Let r(b) = 4 - 4 - b**2. Let m(x) = -r(x) + t(x). Factor m(o).
-3*(o - 1)*(o + 1)
Suppose 12*d = 14*d - 10. Find z such that -2*z**d + 2*z**3 - 2*z**3 - 4*z**4 - 2*z**3 = 0.
-1, 0
Suppose 0 = 2*g - v + 33, -2*v + 3*v - 1 = 0. Let z(m) = -m - 14. Let k be z(g). Suppose 0*n + 0 - 10/3*n**3 - 4/3*n**4 + 10/3*n**5 + 4/3*n**k = 0. Calculate n.
-1, 0, 2/5, 1
Let i(m) be the third derivative of m**7/2940 - m**6/420 + m**4/21 + 13*m**3/6 - 14*m**2. Let j(c) be the first derivative of i(c). Factor j(x).
2*(x - 2)**2*(x + 1)/7
Let d(c) = c**4 - c + 1. Let o(l) = 12*l**4 - 21*l**3 - 42*l**2 - 21*l + 6. Let z(k) = -6*d(k) + o(k). Determine a, given that z(a) = 0.
-1, -1/2, 0, 5
Let i(f) be the second derivative of -f**5/30 + 2*f**4/9 - 4*f**3/9 + f - 191. Find q, given that i(q) = 0.
0, 2
Let a = 55278/5 + -11054. Factor a*k**3 + 4/5 + 4/5*k**4 - 8/5*k**2 - 4/5*k - 4/5*k**5.
-4*(k - 1)**3*(k + 1)**2/5
Let l = 11032 + -11030. Factor 1/5*i**2 + l*i + 5.
(i + 5)**2/5
Let t(m) be the third derivative of 14*m**2 + 0*m**6 + 0*m**3 + 0*m**4 - 1/840*m**7 + 0*m + 1/240*m**5 + 0. Determine x so that t(x) = 0.
-1, 0, 1
Let h(x) be the first derivative of -10*x**2 - 9 - 25*x + 5/3*x**3. Determine l so that h(l) = 0.
-1, 5
Let d be 0 - (415/(-540) - 6/(-8)). Let q(n) be the second derivative of -2/9*n**2 - 1/27*n**3 + 0 - 4*n + d*n**4. Determine h so that q(h) = 0.
-1, 2
What is b in 3*b**2 + b**4 - 4*b**4 - 303*b**3 + 164*b**3 - 15*b + 154*b**3 = 0?
-1, 0, 1, 5
Let h(x) be the second derivative of -x**7/14 - 9*x**6/5 - 96*x**5/5 - 112*x**4 - 384*x**3 - 768*x**2 + 75*x + 1. Factor h(t).
-3*(t + 2)*(t + 4)**4
Let z be (13/13)/(6/(-422)). Let g = z + 71. What is w in -8/3 - 8/3*w - g*w**2 = 0?
-2
Suppose 46282*f - 46304*f = 0. Solve 12/5*u**4 + 0*u + f + 8/5*u**2 - 18/5*u**3 - 2/5*u**5 = 0.
0, 1, 4
Determine t, given that -2*t**2 - 63*t + 0*t**2 + 51 + 5*t**2 - 20*t + 29*t = 0.
1, 17
Let t(m) be the first derivative of -m**7/420 + m**5/24 - m**3/3 + 15*m**2 + 27. Let h(u) be the second derivative of t(u). Determine q, given that h(q) = 0.
-2, -1, 1, 2
Let i(j) be the third derivative of 0 - 1/4*j**4 + 1/30*j**5 + 0*j - 14*j**2 + 2/3*j**3. Solve i(r) = 0.
1, 2
Let f(k) be the second derivative of -1/105*k**6 + 0*k**5 - 13*k + 0*k**4 - 1/147*k**7 + 0*k**3 + 0 + 0*k**2. Solve f(z) = 0.
-1, 0
Let x(o) be the first derivative of o**4/24 - 13*o**3/18 - 5*o**2/2 - 27. Factor x(p).
p*(p - 15)*(p + 2)/6
Let r(n) = -n - 5. Let y be r(-10). Determine j, given that -y*j**3 - 3 + 4 - 1 - 5*j**2 = 0.
-1, 0
Factor 12 - 32 - 23 - 5 + b + 2*b**2 + 3*b.
2*(b - 4)*(b + 6)
Suppose -10*l**2 - 2/5*l**3 - 46/5 - 94/5*l = 0. What is l?
-23, -1
Factor 41/2*f + 5/2*f**2 + 4.
(f + 8)*(5*f + 1)/2
Let n(s) be the second derivative of -1/14*s**4 + 0 - 1/70*s**5 + 0*s**3 + 0*s**2 - 16*s. What is l in n(l) = 0?
-3, 0
Suppose 4*v + 4 = 3*d - 2, 4*v + 5*d - 10 = 0. Suppose s + 3 - 7 = v. Factor -5*o**2 + 4*o**3 - 3*o**s + 2*o**4 - 86 + 2*o + 86.
-o*(o - 2)*(o - 1)**2
Let r(v) be the second derivative of -v**6/135 + 7*v**5/90 - 7*v**4/54 - 5*v**3/9 - 3*v - 31. Factor r(i).
-2*i*(i - 5)*(i - 3)*(i + 1)/9
Let y(u) = -u + 14. Let s be y(11). Suppose s*l + 3 = 4*c, -5 = -10*c + 13*c + 5*l. Factor -3/2*w**2 + c*w + 3/4*w**3 + 0.
3*w**2*(w - 2)/4
Factor -12*h**3 - 332*h + 18*h**2 + 6*h**3 - 24 - 9*h**3 + 3*h**4 + 344*h.
3*(h - 2)**3*(h + 1)
Suppose -2*n + 4*q + 4 = -5*n, 5*n + q = -1. Let f(j) be the third derivative of 0 - 1/12*j**4 - 1/60*j**5 + n*j + 6*j**2 + 1/2*j**3. Factor f(c).
-(c - 1)*(c + 3)
Let i be (-3 - (-58)/4) + 65 + -72. Factor 0 + i*t**2 - 3*t - 3/2*t**3.
-3*t*(t - 2)*(t - 1)/2
Let h(m) be the third derivative of -m**5/120 + 17*m**4/48 + 3*m**3/2 - 86*m**2. Solve h(l) = 0.
-1, 18
Let -48 - 1488/7*k**2 - 1692/7*k - 387/7*k**3 - 12/7*k**4 = 0. What is k?
-28, -2, -1/4
Let g(i) be the first derivative of -i**5/60 + i**4/8 - i**3/3 + 3*i**2 - 2. Let f(j) be the second derivative of g(j). Determine x, given that f(x) = 0.
1, 2
Let j = -233 - -9323/40. Let m(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1/120*b**6 - 4*b + 3/16*b**4 - j*b**5. Factor m(p).
p**2*(p - 3)**2/4
Let c(k) be the third derivative of -k**6/24 + 5*k**5/12 + 55*k**4/6 + 50*k**3 + 85*k**2 - 1. Factor c(i).
-5*(i - 10)*(i + 2)*(i + 3)
Let t(m) be the second derivative of -21*m**6/10 - 24*m**5/5 - 111*m**4/28 - 9*m**3/7 - 4*m - 1. Factor t(f).
-3*f*(3*f + 2)*(7*f + 3)**2/7
Let v be (-2)/(-5)*1 - (-91)/35. Let -4*o**3 + 42*o**2 - 33*o**2 + o**v + 15 + 27*o = 0. What is o?
-1, 5
Let s(u) = u**2 + 4*u - 137. Let g be s(-14). Factor -9/7*p**4 + 0 + 6/7*p**g + 0*p**2 + 3/7*p**5 + 0*p.
3*p**3*(p - 2)*(p - 1)/7
Let s(a) = a**3 + 2*a**2 - a + 1. Let d be s(-2). Suppose -6 = -d*v + v. Solve 0 + k**2 - 3/2*k**v + 0*k = 0 for k.
0, 2/3
Let v = 6030 + -6027. Factor 2/5*u**2 + 2/5*u**4 + 0*u + 0 + 4/5*u**v.
2*u**2*(u + 1)**2/5
Let w(b) be the third derivative of -b**7/1050 + b**6/100 + 7*b**5/300 - 7*b**2 - 1. Factor w(d).
-d**2*(d - 7)*(d + 1)/5
Let g be -2 + 21140/25 + 1. Let a = g - 841. Factor a + 12/5*q + 2/5*q**2.
2*(q + 3)**2/5
Let c(n) be the third derivative of n**9/7560 + n**8/1680 + n**7/1260 + n**4/6 - 6*n**2. Let d(i) be the second derivative of c(i). Let d(u) = 0. What is u?
-1, 0
Solve -16 + 4/3*o + 2/3*o**2 = 0.
-6, 4
Let d = -13725/7 + 1961. Factor 12/7 - d*w**2 - 2/7*w.
-2*(w - 2)*(w + 3)/7
Let o be ((-10)/5*360/32)/(-6). Factor 3*v - 3/4*v**2 + o.
-3*(v - 5)*(v + 1)/4
Let b(v) be the first derivative of 2*v**3/3 + 36*v**2 + 648*v - 14. Factor b(s).
2*(s + 18)**2
Factor -34508 + 90*j**2 + 652 - 337*j - 399*j - 94*j**2.
-4*(j + 92)**2
Find b, given that 46*b + 2*b**3 - 48 - 24*b**2 + 39*b - 30*b - 25*b + 40*b = 0.
1, 3, 8
Let h(t) be the third derivative of 1/30*t**5 + 0 + 0*t - 1/6*t**4 + 13*t**2 + 0*t**3. Solve h(a) = 0.
0, 2
Let z(j) = -7*j**3 + 6*j**2 + j - 6. Let t = -3 - -10. Let u(x) = 5*x**2 - 2*x**2 - 8*x**3 - 8 + 4*x**2 + 1 + x. Let o(w) = t*z(w) - 6*u(w). Factor o(k).
-k*(k - 1)*(k + 1)
Let a(t) = 9*t**2 - 34*t + 5. Let s(r) = 4*r**2 - 18*r + 2. Let o(z) = 2*a(z) - 5*s(z). Let o(k) = 0. W | {
"pile_set_name": "DM Mathematics"
} |
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