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smaller: c or x?
x
Let u = -786 + 1182. Let i = u - 271. Which is bigger: i or 126?
126
Let q = 28 - 43. Let y = -47 - q. Which is smaller: -33 or y?
-33
Let w = -1.8 + 2.9. Let g = w - 1. Let m = -0.3 + g. Are m and 2 unequal?
True
Let k(y) be the third derivative of y**6/120 - 2*y**5/15 + y**4/4 + y**3 - 6*y**2. Let h be k(7). Which is greater: h or -6/7?
-6/7
Suppose 0 = 2*s, -12 + 22 = 5*n - 5*s. Let j be ((-2)/7)/((-1)/5). Which is smaller: j or n?
j
Let s(p) = p**3 - 8*p**2 - 12*p - 12. Let u be s(9). Let m be 13/u*2/(-13). Is 1 equal to m?
False
Let r be (6988/(-8) - 5)*2/(-7). Is 0 > r?
False
Let d(v) = v**3 + 12*v**2 + 15*v + 10. Let c be d(-11). Let l be (c/15)/((-32)/(-12)). Let k = 5/4 + l. Is -3/7 > k?
False
Let n = 3104 + -28030/9. Is -11 != n?
True
Let f = 2 - 1. Let w = 14275 + -14198. Which is greater: w or f?
w
Suppose 0 = g + 3*y - 181 + 7, g - 174 = 2*y. Let v be 2/13 + g/(-117). Which is bigger: v or 0?
0
Suppose 0 = 3*l, 12*n - 7*n + 3*l + 5 = 0. Are n and 1/338 unequal?
True
Let p be ((-6)/16 - 0) + 0. Let g be 2/(1/(-4) - (-14)/(-8)). Let k be ((-2)/g*-1 + 2)/3. Which is smaller: k or p?
p
Let i be (-49)/(-5) - (-12)/60. Suppose 0*g = -3*g + 15, -4*l + 2*g = -i. Let j be l/10 - 38/60. Is j less than -1?
False
Let r(o) = -11*o + 69. Let h be r(6). Suppose -10 = -i + 3*i. Let n = i + h. Which is smaller: -5/4 or n?
n
Suppose -4*o + 426 = -3*m, -2*m + 95 = o + 3*m. Suppose 0 = 52*k - 57*k - o. Which is smaller: -18 or k?
k
Let t be 2/(-42)*109035/(-75). Let u = 500/7 - t. Let g be 4/(-8) - 21/(-6). Which is smaller: g or u?
u
Let d(g) = 7*g**3 - g - 2. Let z be d(2). Let r be 11/z - 2/(-8). Let i be (5 - 1) + (10 - 14). Are i and r nonequal?
True
Let s = -69.4 + 68.4. Is 36 greater than or equal to s?
True
Let q be -1*61*(10 - 11). Suppose 5*y - 16 + q = 0. Which is bigger: y or -10?
y
Suppose -4*h + 3*y + 18 = -h, -5*h = 2*y - 23. Let r(q) = q**3 - 5*q**2 - 2*q + 9. Let z be r(h). Let j be (-8)/5 - 4/10. Is z <= j?
False
Suppose 5*b + 0*q = -4*q - 60, 39 = -3*b - 3*q. Let p be -2*(-2 + -2)/b. Let c = 6 + -8. Which is bigger: p or c?
p
Let t be (117/(-11691))/(-13)*30. Do 0 and t have the same value?
False
Let l(t) = -3*t - 2. Let a(k) = 2. Let m(o) = 6*a(o) + 2*l(o). Let v be m(8). Let d be (-2)/(-8) - (-2)/v. Which is smaller: d or -1?
-1
Let a = 8 - 0. Let z be a/220*(5 - 10). Which is bigger: 1 or z?
1
Suppose 0*x + 2*o = 4*x - 10, 4*o = -x + 7. Suppose 19 = -x*i + 4*p, 3*i - i + 6 = p. Let d = -2127/25 - -85. Is i not equal to d?
True
Let o = 91 + -84. Let d(f) = 16*f**2. Let q be d(-1). Suppose -o*s = -3*s - q. Is 13/4 not equal to s?
True
Let r be -1 - 5/(5/2). Let b = -1 + r. Let j = -23 + 20. Which is smaller: j or b?
b
Suppose 3*m - 7*m + 12 = 0. Let l(q) = 2*q**2 - 8*q - 10. Let k be l(6). Suppose m = -o - k. Is -16 > o?
True
Suppose -24 = -2*x + 40. Let l = x + -28. Suppose 4*s = -t - t, l*s = 2*t. Which is smaller: s or 30?
s
Let t = 71 - 70. Which is smaller: -2/177 or t?
-2/177
Suppose -19 - 7 = 5*a + 3*z, 4*z + 16 = -4*a. Let w(m) = m**3 - 2*m**2 + m - 1. Let o be w(2). Let s = a + o. Which is bigger: s or -3?
-3
Let g be (-10)/(1 - 12/8). Let u(d) = -2*d**2 + 20. Let w = -7 - -7. Let j be u(w). Is g less than j?
False
Let k = -52.6 - -43.9. Is 2 less than k?
False
Let c = -3113/14 - -445/2. Is c less than -11/6?
False
Suppose -2*c - 50 = 3*c. Let z = c + 13. Let m be -2 - (0 + (z - 6)). Is m equal to 12/7?
False
Let t = -590 - -589.6. Let i = -0.88 + 1. Do t and i have the same value?
False
Let q = 9 + -15. Let z(y) = 24*y - 989. Let j be z(41). Is q less than or equal to j?
True
Let w be 6/(-18) - 364/(-12). Suppose w = -5*d + 115. Which is smaller: d or 18?
d
Let l(k) = -k**2 + 31*k - 84. Let p be l(28). Is p at least as big as -7/8?
True
Let j be ((-66)/(-36))/(3/42*7). Is 4 >= j?
True
Let q = 13 - 22. Let s = 6 + q. Let o = -1 - s. Does 2 = o?
True
Let a = -3 + 1. Let s be a + (-2)/(-6)*-131. Let y = 46 + s. Which is bigger: 0.2 or y?
y
Let w = 30.7 - 30. Let b = -0.6 + w. Which is smaller: b or 10?
b
Suppose 4*k - 3*k + 1 = 0. Let d be -2*2 - 2/k. Let i be 1 - ((d - -3) + -2). Which is smaller: 3 or i?
i
Let f = 5.1 + -0.1. Let z = f + 0. Is z equal to -1/4?
False
Let w be ((-2)/(-6))/((-6)/(-90)). Suppose -3*c + 4 - 1 = 0. Which is bigger: w or c?
w
Let h(m) be the first derivative of -m**3/3 - 3*m**2 + m - 6. Let j be h(-4). Let n be (-10 + j)*-4*1. Is 4 bigger than n?
False
Let o = 50 + -17. Let j = o + -167/5. Which is greater: -0.5 or j?
j
Let n = 665 - 435. Let t = -238.95 + n. Let r = -0.05 + t. Which is smaller: 2 or r?
r
Suppose 0*a = 5*a + 35. Is a greater than -8?
True
Let s(f) = 4*f - 2. Let b be s(0). Do -2 and b have the same value?
True
Let x(h) = h + 1. Let k(v) = -8*v**3 + 2*v**2 + 4*v + 3. Let y(t) = k(t) - 4*x(t). Let n be y(-1). Is 11 at least as big as n?
True
Let f(i) = i**2 - 9*i + 12. Let x be f(3). Let u be (((-10)/21)/(-5))/((-28)/x). Do u and 1 have different values?
True
Let z(x) = -19*x**3 + 2*x + 1. Let w be z(-1). Suppose -7*d + w*d + 737 = 0. Which is smaller: -66 or d?
d
Suppose -3*i - 3*j = -5*j - 41, 3*i + 5*j = 13. Let r be (i/(-22))/((-2)/16). Let a be 1/r + 175/(-28). Is a greater than 0.3?
False
Suppose 409 + 193 = 14*d. Is 44 greater than or equal to d?
True
Let d be (4 + (-164)/20)*-15. Suppose -h = -3*z + 2*h - d, -z = h + 19. Is 0.1 at least as big as z?
True
Let r = -2 - -5. Suppose -3*a + 618 = r*z, 0 = 4*a + 5*z - 660 - 160. Let h be (12/a)/((-2)/(-10)). Is 0.3 smaller than h?
False
Let x = 40.983 - 41. Let m = -3.983 + x. Is m != 1/3?
True
Suppose -1927*n - 18 = -1926*n. Which is greater: n or -52/3?
-52/3
Let k = 6.9 + -7. Let l = 44 - 34. Which is smaller: k or l?
k
Let j = -22 + 21.93. Let o = -0.03 + j. Which is bigger: -2/7 or o?
o
Let t(m) = -m**3 + m**2 + 6*m - 8. Let q be t(2). Let d = 0.2 - 1. Let f = 0.2 - d. Is q greater than f?
False
Let w(f) = 3 - 2 + f**3 + 0*f**2 + 4*f**2. Let l be w(-4). Suppose -3*q + y = -4*y, -q + l = -2*y. Is -3 greater than q?
True
Let m = 12 - 10. Suppose 0 = -9*i + m*i - 35. Which is greater: i or -27/7?
-27/7
Let x be (-2 + 1)/(6/(-42)). Let o(f) = 7 - 3 + f**2 - x*f + f. Let d be o(5). Which is smaller: d or 2/5?
d
Let x be (-4 + 1)*(-33)/99. Which is smaller: x or -2/3895?
-2/3895
Suppose 0 = -l - 2*r - 2*r + 19, 5*l - 5*r + 30 = 0. Let f be (-1*11/22)/(-2). Which is smaller: l or f?
l
Suppose 43*o + 1440 = 75*o. Is o at least as big as 30?
True
Let z = 965 - 966. Which is smaller: z or 1/34?
z
Let y = -9.8 + 9.68. Which is greater: y or 6?
6
Let q = -125 + 126. Are q and -10/3 unequal?
True
Let s = 15.32 + -0.32. Let l = -12.2 - 1.8. Let w = l + s. Which is smaller: -5 or w?
-5
Suppose -x - 11 - 2 = 0. Let o = x - -52. Let c be (-11)/(-13) + 6/o. Is -3/7 at least c?
False
Let w = -187 - -401/2. Is w greater than 15?
False
Suppose -3*f - 60 = 3*d, f + 5*d = -2*f - 56. Which is greater: f or -265/12?
f
Let a be (2 - -1 - 5)*-3. Suppose -a*y + 15 = -3*y. Suppose w = -5*o - 23, o + 5 = -y*w + 10. Is w smaller than -1?
False
Let v = 3.9 + -7.1. Let f = -3.3 - v. Do 3 and f have the same value?
False
Let s be -1 + -7 + 429/48. Which is smaller: s or 2?
s
Let m = -0.52 - 0.08. Let d be (-2)/(-11) - 1126/22. Let r = d + 53. Are m and r non-equal?
True
Let d = -24.97 + -0.03. Let k = -37 - d. Let j = k - -15. Is 2 equal to j?
False
Suppose -5*x - 6*j + 306 = -2*j, j = 3*x - 187. Let z = 411 - 348. Which is smaller: z or x?
x
Let g be -4 + 108/26 + (-148)/(-52). Let z be (-1)/((5 - 4) + g). Which is smaller: 1 or z?
z
Let s = -79 + 125. Let k = s - 51. Which is bigger: -21/5 or k?
-21/5
Let j = -45 - -44.5. Let a be 14/6*10/(-35). Does j = a?
False
Let f = -340 + 780. Is 0 less than or equal to f?
True
Let o = -1509 - -1534. Are o and 37 equal?
False
Let s(r) = 3*r - 10. Let d be s(5). Suppose 0 = 3*m - 5*m + 4*y + 10, 5*y + 5 = -d*m. Let g be (20/28 - 4) + 4. Which is smaller: g or m?
g
Let d = 134 + -1075/8. Let x = 4809/13 - 370. Which is smaller: x or d?
d
Let p be 350/(-14)*98/(-5). Is p < 490?
False
Suppose 0 = -2*p + 3*p - 4. Suppose -p*j = 3*j + 168. Which is greater: j or -23?
-23
Let y(i) = -8*i**2 - 342*i + 22. Let v be y(-44). Is v at most -418?
True
Let b = -25/2 + 13. Let t = -26.96 - -46.96. Which is
|
{
"pile_set_name": "DM Mathematics"
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|
117332*u + u**3 + 3*u**3 - 1464*u**2 - 576453.
4*(u - 181)**2*(u - 4)
Let r(z) be the third derivative of -z**8/560 + 2*z**7/175 - z**6/100 - z**5/25 + 3*z**4/40 + 118*z**2 + 11*z. Determine b, given that r(b) = 0.
-1, 0, 1, 3
Let i(n) be the second derivative of -n**4/6 + 11*n**3 - 32*n**2 - 448*n. Factor i(b).
-2*(b - 32)*(b - 1)
Let f(a) = -a**2 - 20*a + 131. Let h be f(-25). Factor 14*z**2 - 4*z**2 - h*z**3 - 2*z**4 - 2*z**5 + 4*z**5 - 4*z + 0*z**4 + 0*z**4.
2*z*(z - 1)**3*(z + 2)
Let c be (5 + 0 + 0)/(16 - 17). Let i be 8/3 - c/15. Factor 32*k**3 - 31*k**i + 5*k**2 + 3*k - 3 - 6.
(k - 1)*(k + 3)**2
Let l(s) be the second derivative of -s**6/15 - 33*s**5/5 - 291*s**4/2 + 2376*s**3 - 11664*s**2 - 25*s - 14. Let l(f) = 0. Calculate f.
-36, 3
Let p(w) = -w**3 + 7*w**2 + 2*w + 12. Let n be p(7). Factor n*a**2 - 56*a**3 - 6 - a**3 + 82*a**2 - 45*a.
-3*(a - 1)**2*(19*a + 2)
Let 15776/9*z + 15555136/9 + 4/9*z**2 = 0. Calculate z.
-1972
Let q be 1*-8 - 19008/(-1936). Let g = -48/47 + 904/517. Determine p so that -4/11 - 16/11*p**4 + q*p**2 + 2/11*p + g*p**3 - 10/11*p**5 = 0.
-1, 2/5, 1
Let m(u) be the second derivative of u**6/15 - 59*u**5/10 - 187*u**4/6 + 59*u**3/3 + 186*u**2 + 1093*u - 1. Let m(n) = 0. What is n?
-3, -1, 1, 62
Let m(o) = 53*o**2 + 951*o - 8. Let j(s) = 18*s**2 + 312*s - 3. Let t(d) = 8*j(d) - 3*m(d). Factor t(z).
-3*z*(5*z + 119)
Suppose -35*t = -0*t + 2*t - 74. Let i(h) be the third derivative of 0*h + 3*h**t + 0 - 1/600*h**5 - 7/60*h**3 + 1/30*h**4. Determine y so that i(y) = 0.
1, 7
Let x = -8 + 11. Let 1020*k + 456*k**x + 24*k**3 - 1285*k**2 + 17*k**4 - 260 + 28*k**4 = 0. Calculate k.
-13, 2/3, 1
Let h be ((-2 + 1)/((-1)/3))/1. Let b = -2177 - -2177. Factor b - 4/3*j**h - 2/3*j**5 + 0*j**2 + 0*j + 2*j**4.
-2*j**3*(j - 2)*(j - 1)/3
Let l(a) be the second derivative of -a**8/420 - 2*a**7/105 - 2*a**6/45 + 89*a**3/6 + 22*a. Let k(q) be the second derivative of l(q). Factor k(w).
-4*w**2*(w + 2)**2
Let n = 59 + -52. Suppose 3*w - 27 = -3*g + n*w, 3 = w. Factor -g*c**2 - 17*c**2 - 6 + 15*c**2 - 24*c**2 + 45*c.
-3*(c - 1)*(13*c - 2)
Let q(j) be the third derivative of 5*j**8/336 - 4*j**7/21 - 5*j**6/12 + 2*j**5/3 + 15*j**4/8 + 1799*j**2. What is w in q(w) = 0?
-1, 0, 1, 9
Let l be 9 - ((-4)/(-16)*8 - -4). Factor -155*i**2 + i**l - 150 - 10*i**3 - 11*i**3 - 305*i.
-5*(i + 2)*(i + 5)*(4*i + 3)
Factor 355216/3*s + 0 + 118008*s**2 + 1/3*s**4 - 397*s**3.
s*(s - 596)**2*(s + 1)/3
Suppose 30*v = 31*v - 31. Find k such that -56*k - v*k + 36 + 136*k**2 - 92*k - 22*k**3 - 43*k = 0.
2/11, 3
What is g in 0 + 33/2*g - 3/4*g**2 = 0?
0, 22
Let u(z) be the third derivative of z**6/60 - 91*z**5/90 - z**4/12 + 91*z**3/9 + 452*z**2. Factor u(r).
2*(r - 1)*(r + 1)*(3*r - 91)/3
Factor 0*c + 1/4*c**3 + 41/4*c**2 + 0.
c**2*(c + 41)/4
Let s be 4 + 1/(2/1234). Factor s*y**2 - 617*y**2 + y + 3*y.
4*y*(y + 1)
Let x(z) be the third derivative of z**5/80 - 57*z**4/32 + 65*z**3/2 + 2216*z**2. Find b such that x(b) = 0.
5, 52
Let m be 2 + -2 + -5 + (-91)/((-2548)/280). Suppose 0*g**3 + 2/15*g**4 + 2/15*g**m + 0*g + 0*g**2 + 0 = 0. Calculate g.
-1, 0
Factor 1/4*h**2 - 1067/2*h + 1138489/4.
(h - 1067)**2/4
Let u = 235 + -234. Let i(n) = 3*n**4 - 4*n**3 - 23*n**2 + 25*n + 1. Let a(h) = h**4 - h**2 + h + 1. Let t(k) = u*a(k) - i(k). Factor t(y).
-2*y*(y - 4)*(y - 1)*(y + 3)
Let p(c) be the first derivative of 7*c + 12 - 1/4*c**3 + 0*c**2 + 1/40*c**5 + 1/12*c**4. Let h(m) be the first derivative of p(m). Factor h(b).
b*(b - 1)*(b + 3)/2
Let b(n) = n**2 - 20*n + 35. Let h be b(18). Let s be (-4 - (-23)/5)/(h/(-5)). Solve -18*y + 15 + 12 + 6*y**2 - s*y**2 = 0 for y.
3
Let c(y) be the first derivative of -2/3*y**3 + 0*y + 1/18*y**4 + 14/9*y**2 + 2. Factor c(b).
2*b*(b - 7)*(b - 2)/9
Let h(m) be the first derivative of 2*m**3/21 + 64*m**2/7 + 696*m/7 + 8728. Suppose h(n) = 0. What is n?
-58, -6
Let v be 7 - 4 - (-1)/3. Let b(u) = -32*u + 2. Let q be b(0). Factor -v*g**3 + 8/3*g - 2/3*g**4 + 16/3 - 4*g**q.
-2*(g - 1)*(g + 2)**3/3
Let f(r) be the third derivative of -r**6/360 + 19*r**5/90 + 361*r**4/18 - 27436*r**3/9 + 2*r**2 - 56*r + 2. Solve f(w) = 0 for w.
-38, 38
Let v(q) = 268*q**2 - 1140*q - 6075. Let x(f) = -93*f**2 + 380*f + 2025. Let u(i) = 8*v(i) + 23*x(i). Determine c, given that u(c) = 0.
-5, 81
Let m(v) be the first derivative of v**5/5 - v**4 + 4*v**3/3 + 967. Factor m(i).
i**2*(i - 2)**2
Let n(f) be the first derivative of -4*f**3/3 + 197*f**2 - 196*f - 959. Find o, given that n(o) = 0.
1/2, 98
Let o be 1*3 + (-1984)/434. Let u = -48/35 - o. Factor u - 2/5*h + 1/5*h**2.
(h - 1)**2/5
Let y = 499756 - 7489162/15. Let c = y - 478. Solve 4/5*a**4 - 26/15*a**2 - 14/15*a**3 + c*a + 8/15 = 0.
-1, -1/2, 2/3, 2
Suppose -27*b - 148 = -64*b. Suppose -4*a + a - u = -4, b*a - 17 = u. Find q, given that -2/9*q**a - 8/9 + 0*q + 2/3*q**2 = 0.
-1, 2
Let p(m) = -5*m**4 + 80*m**3 - 889*m**2 + 3244*m - 3886. Let q(g) = g**4 + 5*g**3 - g**2 - 2*g - 1. Let v(j) = -p(j) - 2*q(j). Determine d, given that v(d) = 0.
3, 12
Let a = -730103/5 + 146021. Suppose 0 + 10*k**3 + 336/5*k**2 + a*k**4 + 288/5*k = 0. What is k?
-12, -1, 0
Suppose -k - 3 = 0, -v + 3*v - 4*k = -18. Let l = 38 - v. Factor -6*g + 0*g - 3*g**3 + l*g**2 - 44*g**2.
-3*g*(g - 2)*(g - 1)
Let -3/8*g**5 - 81/8*g**3 + 21/4*g**2 + 48*g + 36 - 15/4*g**4 = 0. What is g?
-4, -3, -1, 2
Solve 3/5*h**5 + 38/5*h**4 - 8/5*h**2 - 6 - 106/5*h**3 + 103/5*h = 0 for h.
-15, -1, 1/3, 1, 2
Let a(p) be the third derivative of -46*p**2 + 4/105*p**7 + 0*p**4 + 0 + 1/15*p**5 + 0*p + 0*p**3 + 1/168*p**8 + 1/12*p**6. Factor a(l).
2*l**2*(l + 1)**2*(l + 2)
Solve -2*i**5 + 28*i**4 + 9*i**2 - 9*i - 15*i + 370 + 36*i**3 - 97*i**2 - 10*i - 310 = 0.
-2, -1, 1, 15
Solve 3630 + 147/2*p**2 - 15*p**3 + 3718*p - 1/2*p**4 = 0.
-22, -1, 15
Solve -1/5*k**2 + 782/5 - 781/5*k = 0.
-782, 1
Factor -1688*q - 994*q + 171*q**2 + 548*q**3 - 546*q**3 + 12798 - 49*q**2.
2*(q - 9)**2*(q + 79)
Let q(g) = g**3 - 13*g**2 - 49*g + 18. Suppose -72*a + 1120 = -2*a. Let p be q(a). Suppose -1/6*n**3 - 5/6 - 1/2*n**p + 3/2*n = 0. Calculate n.
-5, 1
Solve 80 - 32/3*s + 1/3*s**2 = 0 for s.
12, 20
Let l = 4 - 1. Let r = -1766/17 - -3583/34. Factor 0*k + 3/4*k**5 + 0*k**4 - r*k**2 - 9/4*k**l + 0.
3*k**2*(k - 2)*(k + 1)**2/4
Let m = -163 - -166. Solve 20 - 8*b**m + 3*b**3 + 0*b**3 - 2*b**2 - 13*b**2 = 0 for b.
-2, 1
Let p(n) = -3*n**5 - 171*n**4 - 1569*n**3 + 5627*n**2 - 5928*n + 2004. Let w(s) = -3*s**4 + s**2 - 3. Let f(h) = p(h) - 8*w(h). Let f(v) = 0. What is v?
-26, 1
Let j = 713522 + -713518. Factor -3/5*u**j + 6/5*u + 0 + 9/5*u**2 + 0*u**3.
-3*u*(u - 2)*(u + 1)**2/5
Let z(x) be the third derivative of 13/6*x**4 + 20*x**3 - 1/15*x**5 + 0 + 0*x - 132*x**2. Let z(i) = 0. Calculate i.
-2, 15
Let j(w) be the first derivative of w**4/24 - 55*w**3/9 + 261*w**2 - 972*w - 4615. Factor j(h).
(h - 54)**2*(h - 2)/6
Let u(w) = w**3 - 7*w**2 + 57*w - 177. Let i be u(4). Let x(f) be the first derivative of 5*f**2 - 5/3*f**i - 1 - 5*f. Solve x(o) = 0.
1
Let a(t) be the first derivative of -80/9*t - 2/27*t**3 - 67 - 22/9*t**2. Factor a(n).
-2*(n + 2)*(n + 20)/9
Suppose -2 = -u + o, o - 552 = 2*u - 554. Solve 13/6*m**2 + 1/6*m**4 + 4/3*m**3 + u + m = 0.
-6, -1, 0
Suppose -14*j + 27 = -1. What is v in -5*v**j - 5*v - 4*v + 3*v + 2*v**2 = 0?
-2, 0
Factor 85443*f - 632 + 9*f**2 - f**2 - 82917*f.
2*(f + 316)*(4*f - 1)
Let l(m) be the first derivative of -5*m**4 - 5*m**3/3 + 232. Factor l(g).
-5*g**2*(4*g + 1)
Suppose -38 = -3*f + 2*z, 3*f - f - 29 = 5*z. Solve 16*g - f*g**2 + 6*g**4 + 9*g**3 - 43*g**3 + 12*g**3 = 0.
-1, 0, 2/3, 4
Suppose 2*w - 16 = 5*g - 0*g, 0 = 6*w - 48. Let d(m) be the second derivative of g + 1/20*m**4 - 12/5*m**2 - 35*m - 1/5*m**3. Factor d(y).
3*(y - 4)*(y + 2)/5
Let u be (-15)/65 - (-11 + (-4168)/(-416)). Suppose -u*v + 5/2 - 1/4*v**2 = 0. What is v?
-5, 2
Let t(g) be the first derivative of -96*g + 3/4*g**4 - 109 - 6*g**2 + 8*g**3. Factor t(l).
3*(l - 2)*(l + 2)*(l + 8)
Let l(x) be the third derivative of x**6/1260 + 2*x**5/105 + x**4/12 - 22*x**3/3 - 2*x**2 + 10*x. Let b(k) be the first derivative of l(k). Factor b(h).
2*(h + 1)*(h + 7)/7
Let x(y) be the third derivative of -y**5/90 + 1162*y**4/9 - 5400976*y**3/9 + 4253*y**2. Let x(p) = 0. Calculate p.
2324
Let a(f
|
{
"pile_set_name": "DM Mathematics"
}
|
0600*v wrt p.
36725676*p*v
What is the first derivative of 6607*x**4 + 78*x**3 + 6101354 wrt x?
26428*x**3 + 234*x**2
Find the third derivative of -36332478*r**3 - 15*r**2 + 10*r - 1904.
-217994868
Find the second derivative of -318*m**2*y**2 + 28150*m**2 + 10*m*y**2 + 5469512*y**2 wrt m.
-636*y**2 + 56300
What is the first derivative of -3*z**3 + 25*z**2 + 1051*z - 5362365?
-9*z**2 + 50*z + 1051
Find the second derivative of 1165*q**4 + 24343*q**3 + q**2 - 462604295*q - 2 wrt q.
13980*q**2 + 146058*q + 2
Find the first derivative of 345978005*z - 351454838 wrt z.
345978005
What is the third derivative of 7905115*k**3*n - 3*k**2 - 5*k + 212059*n wrt k?
47430690*n
What is the third derivative of 4737138*k**3 - 771759*k**2 wrt k?
28422828
Find the third derivative of 84500881*r**6 - 2*r**3 + 296118820*r**2 wrt r.
10140105720*r**3 - 12
Differentiate -31198*r**2 + 822*r + 108331705 with respect to r.
-62396*r + 822
Find the third derivative of -30421340*t**3 + 23228882*t**2 wrt t.
-182528040
Differentiate -120922*n**2*q + 33*n**2*t - 6*n*q**3 + 52152*q**3*t with respect to t.
33*n**2 + 52152*q**3
Differentiate b**2 + 257669432*b + 414955906 wrt b.
2*b + 257669432
Find the third derivative of 12938755*l**3*s**6 - 3*l**3*s**2 + 2318*l**3 - 4*s wrt s.
1552650600*l**3*s**3
What is the first derivative of 44143401*i*w**2 + 17285246*w**2 wrt i?
44143401*w**2
What is the third derivative of -3*l**5 - 121125632*l**3 + 20686*l**2 + 1855?
-180*l**2 - 726753792
Find the second derivative of -22811*n**3 + 224*n**2 + 7841543*n wrt n.
-136866*n + 448
Find the second derivative of -79316107*c**3 - 38626188*c.
-475896642*c
Find the third derivative of -31955321*z**5 - 4*z**4 + 8*z**2 + 12982374*z wrt z.
-1917319260*z**2 - 96*z
What is the derivative of -158*l**2 + 542328*l - 2603421?
-316*l + 542328
Differentiate -16303948*v**3 - 6*v**2 + 216594746 wrt v.
-48911844*v**2 - 12*v
Differentiate -3*k*m**2 + 2*k*m + 208178*k + 8*m**2 + 2*m - 38532 with respect to k.
-3*m**2 + 2*m + 208178
Find the second derivative of 691*f**3 - 4436*f**2 - 9631737*f.
4146*f - 8872
Differentiate 12*d**3*n - 6*d**3 - 173*d*n**3 + 1857*d + 8*n**3 with respect to n.
12*d**3 - 519*d*n**2 + 24*n**2
Find the second derivative of -6381491*s**3*t + 2*s - 74605436*t wrt s.
-38288946*s*t
Find the third derivative of -88*b**6 + 39*b**5 + b**3 - b**2 - 89*b + 38670 wrt b.
-10560*b**3 + 2340*b**2 + 6
Differentiate -81*m**3*p*u + 5547*m**3*p + 143*m**3*x + 9*p*x + 127943*u*x with respect to p.
-81*m**3*u + 5547*m**3 + 9*x
Find the first derivative of 26414059*l + 13677927 wrt l.
26414059
Find the third derivative of 16401769*g**5 + 184*g**2 - 2282*g wrt g.
984106140*g**2
What is the third derivative of 4052605*j**3 - 15*j**2 - 2*j + 54104?
24315630
Find the second derivative of 1012*d*j**2*n + 3*d*j*n - 4*d*j - d*n**3 - 2*d*n**2 + 330*j**2*n**3 - 2*j**2*n + 2*j*n**3 - 275*n**3 wrt j.
2024*d*n + 660*n**3 - 4*n
Find the third derivative of 6378*f**3*s**2 - 505*f**3 + 67*f**2*s**2 + 2*f**2 - 507*f + 8*s wrt f.
38268*s**2 - 3030
What is the third derivative of -179779399*s**3 + 339908634*s**2?
-1078676394
Differentiate 27389495*j*o*x**3 - 1122077*o*x**3 + 43 with respect to j.
27389495*o*x**3
What is the third derivative of -4*a**6 + 11807642*a**4 - 12866694*a**2?
-480*a**3 + 283383408*a
What is the third derivative of 4*u**6 + 23878299*u**3 + 14*u**2 + 3927596 wrt u?
480*u**3 + 143269794
What is the first derivative of 41*j*n**3 - 2*j*n**2 - j*n + 12018*j - 1042*n**3 - 1144*n**2 + 41*n wrt j?
41*n**3 - 2*n**2 - n + 12018
Find the second derivative of -4*p**4 + 4*p**3 + 71814*p**2 + 1453558*p + 2.
-48*p**2 + 24*p + 143628
What is the derivative of -14142501*d**3 - 248362910?
-42427503*d**2
What is the third derivative of -10362064*g**4 + 205*g**2 + g + 47?
-248689536*g
Differentiate -1447353506*j**2 - 1272071975 with respect to j.
-2894707012*j
What is the second derivative of 42943257*g**4 + 4*g + 1145399?
515319084*g**2
Find the third derivative of 627134*k**5 + 275*k**3 - 1042523397*k**2.
37628040*k**2 + 1650
Differentiate 424337124*l + 276296095.
424337124
Differentiate 498372191*c**2 + 396139023 wrt c.
996744382*c
Find the second derivative of 128425*f**5 + 11*f**4 + 36140754*f wrt f.
2568500*f**3 + 132*f**2
Find the third derivative of -20129198*f**3 - 56612608*f**2 wrt f.
-120775188
What is the third derivative of 22*s**2*t**2*y**2 - 14*s**2*t*y**3 + s**2*y**2 - 534847*s*t**3*y**3 - 4*s*t*y + s*y + 5*t**3*y**2 + 2*t**2*y - 952*t*y**2 wrt y?
-84*s**2*t - 3209082*s*t**3
Find the second derivative of 3*i**4*u + 52151*i**3*u - 19*i**2*u + 335657*i*u - 3*u wrt i.
36*i**2*u + 312906*i*u - 38*u
Find the first derivative of -94534498*a**2 - 106895797 wrt a.
-189068996*a
What is the derivative of 5851679*o - 432776?
5851679
Find the second derivative of 3346392*v**3 - 3*v**2 + 154485800*v.
20078352*v - 6
Find the second derivative of -3281329*k**5 + 2*k**3 + 2*k**2 + 20737*k - 1194 wrt k.
-65626580*k**3 + 12*k + 4
Find the third derivative of 92284*b**3*w**2 + 160*b**3 + 735*b**2*w**2 + b**2*w - 2344*b*w**2 wrt b.
553704*w**2 + 960
What is the second derivative of -1326210*q**2 + 2*q + 577828?
-2652420
What is the second derivative of -4*r**5 + 11612450*r**2 + r + 1547244?
-80*r**3 + 23224900
What is the first derivative of -s**4 + 14453142*s**3 - 3*s + 211456336?
-4*s**3 + 43359426*s**2 - 3
Find the second derivative of -2*b**3*s**5 - b**3*s - 1252*b**2*s + 6*b**2 + 2*b + 2143262*s**5 - 2*s wrt s.
-40*b**3*s**3 + 42865240*s**3
Find the third derivative of 328*c**6 - 3*c**5 - 9761*c**3 - c**2 - 85661662*c + 2 wrt c.
39360*c**3 - 180*c**2 - 58566
Differentiate 22859555*w**2 + 46536608 wrt w.
45719110*w
What is the second derivative of -1710902*g**5*i*w - 3*g**2*w - 70*g*i + 2*g + 4518*i*w - i wrt g?
-34218040*g**3*i*w - 6*w
What is the second derivative of -9358116*b**4 - 5429723*b?
-112297392*b**2
What is the first derivative of 5725*o*r + 490087125*o + 1020*r wrt r?
5725*o + 1020
Differentiate 3665888*k*v + 1360868*v + 2 with respect to k.
3665888*v
Find the third derivative of 26*p**6 + 480485*p**3 - 2792605*p**2.
3120*p**3 + 2882910
What is the first derivative of 519*n**3*z + 35370854*n**3 + 58716*z wrt z?
519*n**3 + 58716
What is the first derivative of 2*c**2 + 3720877*c + 5337712 wrt c?
4*c + 3720877
Differentiate 20512346*h*n**2 + 505826*h + 8 with respect to n.
41024692*h*n
Find the third derivative of -2*t**4 - 12801691*t**3 + 9879*t**2 - 7528*t.
-48*t - 76810146
What is the second derivative of 32132482*h**3 - 6*h**2 + 56779502*h + 5 wrt h?
192794892*h - 12
Find the second derivative of 13193710*r**5 + 63051111*r.
263874200*r**3
Differentiate 91315664*n**2 + 18876479.
182631328*n
Find the third derivative of 4320124*i**3 + 20993573*i**2 wrt i.
25920744
What is the second derivative of -17*m**2*w**3 + 119*m**2*w - 4211*m*w**3 + 2216*w + 3 wrt w?
-102*m**2*w - 25266*m*w
Find the first derivative of -4906*c*g**2*t + c*g*t + c*g - 136*c*t**2 + 26812184*g**2 wrt t.
-4906*c*g**2 + c*g - 272*c*t
What is the third derivative of 217568350*n**4 + 229437451*n**2 wrt n?
5221640400*n
Find the third derivative of 121528*i**4 + 53*i**3 + 11945480*i**2 wrt i.
2916672*i + 318
Find the second derivative of 88244036*o**2 - 434*o - 18643.
176488072
Find the third derivative of 30*k*l**2*u**3 - k*l**2*u**2 + k*l**2*u + 25*k*u - 87085*l**2*u**5 - 43*l**2*u - 3*u**2 + 1 wrt u.
180*k*l**2 - 5225100*l**2*u**2
What is the second derivative of -17222*o**4 + 11794*o**3 - 1503*o - 2786?
-206664*o**2 + 70764*o
Find the third derivative of -d*k**3*n**3 + 3164425*d*k**3*n**2 + 3*d*k**2*n + 5*d*k*n**3 + 13047*d*k*n**2 + n**2 + 2 wrt k.
-6*d*n**3 + 18986550*d*n**2
What is the second derivative of -548*n**5 + 62369*n**3 - 3*n**2 + 2*n - 144305036 wrt n?
-10960*n**3 + 374214*n - 6
Find the second derivative of -962943684*t**2 - 3860*t + 102708 wrt t.
-1925887368
What is the second derivative of -60413620*j**2 - 63942453*j?
-120827240
What is the derivative of 405334*c**4 - 26*c**2*z + 15163*z + 1292 wrt c?
1621336*c**3 - 52*c*z
Find the second derivative of -52*f**4 + 439434*f**3 - 1302566*f + 48 wrt f.
-624*f**2 + 2636604*f
Find the third derivative of g**3*x**2*y + 2586875*g**3*x**2 + g**3*y - 5250*g**2*x**2*y - 47490*g*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when 120 is divided by 35?
15
What is the remainder when 57 is divided by 22?
13
What is the remainder when 240 is divided by 73?
21
Calculate the remainder when 395 is divided by 16.
11
Calculate the remainder when 6556 is divided by 7.
4
What is the remainder when 881 is divided by 9?
8
What is the remainder when 29 is divided by 16?
13
Calculate the remainder when 478 is divided by 40.
38
What is the remainder when 208 is divided by 14?
12
What is the remainder when 662 is divided by 170?
152
What is the remainder when 5092 is divided by 18?
16
What is the remainder when 1208 is divided by 38?
30
What is the remainder when 192 is divided by 28?
24
What is the remainder when 399 is divided by 82?
71
Calculate the remainder when 130 is divided by 112.
18
What is the remainder when 85 is divided by 26?
7
What is the remainder when 404 is divided by 37?
34
Calculate the remainder when 399 is divided by 10.
9
Calculate the remainder when 78 is divided by 41.
37
What is the remainder when 7207 is divided by 103?
100
Calculate the remainder when 282 is divided by 84.
30
Calculate the remainder when 1916 is divided by 274.
272
Calculate the remainder when 466 is divided by 59.
53
What is the remainder when 3928 is divided by 262?
260
What is the remainder when 1215 is divided by 32?
31
Calculate the remainder when 338 is divided by 85.
83
What is the remainder when 200 is divided by 156?
44
Calculate the remainder when 56 is divided by 47.
9
What is the remainder when 210 is divided by 72?
66
Calculate the remainder when 191 is divided by 64.
63
Calculate the remainder when 1416 is divided by 153.
39
What is the remainder when 206 is divided by 42?
38
What is the remainder when 6339 is divided by 45?
39
What is the remainder when 421 is divided by 128?
37
What is the remainder when 310 is divided by 26?
24
Calculate the remainder when 41 is divided by 17.
7
What is the remainder when 468 is divided by 128?
84
What is the remainder when 140 is divided by 82?
58
Calculate the remainder when 471 is divided by 376.
95
What is the remainder when 298 is divided by 15?
13
What is the remainder when 526 is divided by 260?
6
What is the remainder when 3934 is divided by 123?
121
What is the remainder when 2878 is divided by 16?
14
What is the remainder when 326 is divided by 8?
6
What is the remainder when 1121 is divided by 69?
17
Calculate the remainder when 404 is divided by 137.
130
What is the remainder when 256 is divided by 131?
125
What is the remainder when 153 is divided by 22?
21
What is the remainder when 35927 is divided by 29?
25
Calculate the remainder when 2023 is divided by 80.
23
What is the remainder when 907 is divided by 13?
10
What is the remainder when 1407 is divided by 128?
127
What is the remainder when 486 is divided by 26?
18
Calculate the remainder when 35 is divided by 12.
11
What is the remainder when 89 is divided by 23?
20
Calculate the remainder when 137 is divided by 46.
45
What is the remainder when 1402 is divided by 61?
60
Calculate the remainder when 1992 is divided by 27.
21
What is the remainder when 2000 is divided by 34?
28
Calculate the remainder when 1014 is divided by 33.
24
What is the remainder when 149 is divided by 15?
14
Calculate the remainder when 4319 is divided by 216.
215
What is the remainder when 124 is divided by 116?
8
What is the remainder when 1031 is divided by 117?
95
Calculate the remainder when 384 is divided by 11.
10
Calculate the remainder when 186 is divided by 17.
16
What is the remainder when 83 is divided by 8?
3
Calculate the remainder when 1251 is divided by 157.
152
What is the remainder when 359 is divided by 25?
9
What is the remainder when 186 is divided by 41?
22
Calculate the remainder when 507 is divided by 169.
0
What is the remainder when 196 is divided by 33?
31
Calculate the remainder when 12 is divided by 2.
0
What is the remainder when 762 is divided by 109?
108
What is the remainder when 83 is divided by 16?
3
Calculate the remainder when 374 is divided by 86.
30
What is the remainder when 1945 is divided by 11?
9
Calculate the remainder when 149 is divided by 33.
17
Calculate the remainder when 36 is divided by 10.
6
What is the remainder when 238 is divided by 27?
22
Calculate the remainder when 1911 is divided by 42.
21
Calculate the remainder when 142 is divided by 42.
16
What is the remainder when 627 is divided by 45?
42
Calculate the remainder when 782 is divided by 385.
12
What is the remainder when 1323 is divided by 656?
11
Calculate the remainder when 431 is divided by 190.
51
Calculate the remainder when 135 is divided by 68.
67
Calculate the remainder when 168 is divided by 43.
39
What is the remainder when 8695 is divided by 77?
71
Calculate the remainder when 104 is divided by 28.
20
Calculate the remainder when 670 is divided by 75.
70
Calculate the remainder when 87 is divided by 45.
42
What is the remainder when 3582 is divided by 128?
126
Calculate the remainder when 42 is divided by 4.
2
What is the remainder when 1194 is divided by 92?
90
What is the remainder when 154 is divided by 59?
36
Calculate the remainder when 2757 is divided by 120.
117
Calculate the remainder when 562 is divided by 47.
45
Calculate the remainder when 2499 is divided by 831.
6
Calculate the remainder when 88 is divided by 26.
10
Calculate the remainder when 141 is divided by 46.
3
Calculate the remainder when 1209 is divided by 22.
21
What is the remainder when 107 is divided by 18?
17
What is the remainder when 368 is divided by 342?
26
Calculate the remainder when 85 is divided by 13.
7
What is the remainder when 100 is divided by 28?
16
What is the remainder when 368 is divided by 34?
28
Calculate the remainder when 786 is divided by 59.
19
What is the remainder when 56 is divided by 47?
9
Calculate the remainder when 464 is divided by 43.
34
Calculate the remainder when 77 is divided by 29.
19
Calculate the remainder when 470 is divided by 90.
20
Calculate the remainder when 837 is divided by 12.
9
What is the remainder when 9 is divided by 6?
3
Calculate the remainder when 83 is divided by 17.
15
What is the remainder when 6 is divided by 3?
0
What is the remainder when 999 is divided by 77?
75
What is the remainder when 34 is divided by 2?
0
What is the remainder when 239 is divided by 169?
70
What is the remainder when 80 is divided by 33?
14
Calculate the remainder when 118 is divided by 15.
13
Calculate the remainder when 47 is divided by 11.
3
Calculate the remainder when 212 is divided by 101.
10
Calculate the remainder when 673 is divided by 70.
43
What is the remainder when 136 is divided by 27?
1
Calculate the remainder when 25786 is divided by 5.
1
Calculate the remainder when 526 is divided by 48.
46
What is the remainder when 538 is divided by 23?
9
Calculate the remainder when 258 is divided by 22.
16
Calculate the remainder when 599 is divided by 12.
11
Calculate the remainder when 772 is divided by 31.
28
Calculate the remainder when 387 is divided by 34.
13
What is the remainder when 141 is divided by 43?
12
Calculate the remainder when 44 is divided by 7.
2
Calculate the remainder when 749 is divided by 247.
8
What is the remainder when 1715 is divided by 172?
167
Calculate the remainder when 37 is divided by 30.
7
Calculate the remainder when 1550 is divided by 32.
14
Calculate the remainder when 3065 is divided by 510.
5
What is the remainder when 148 is divided by 33?
16
Calculate the remainder when 45 is divided by 6.
3
What is the remainder when 691 is divided by 152?
83
What is the remainder when 14739 is divided by 97?
92
What is the remainder when 69 is divided by 35?
34
What is the remainder when 60 is divided by 45?
15
What is the remainder when 2119 is divided by 265?
264
Calculate the remainder when 2085 is divided by 1034.
17
Calculate the remainder when 6509 is divided by 14.
13
Calculate the remainder when 1026 is divided by 117.
90
What is the remainder when 4605 is divided by 9?
6
What is the remainder when 41 is divided by 37?
4
Calculate the remainder when 39 is divided by 21.
18
Calculate the remainder when 14021 is divided by 51.
47
Calculate the remainder when 906 is divided by 192.
138
Calculate the rem
|
{
"pile_set_name": "DM Mathematics"
}
|
q = -6 + i. Suppose q*g - 60 = -g. List the prime factors of g.
2, 3
Suppose 6*x - 78 = 18. Suppose s = -s + x. What are the prime factors of s?
2
Suppose 4*o - 8*o - 120 = 0. Let q = -3 - o. List the prime factors of q.
3
Suppose -s - 2 = -9. List the prime factors of s.
7
Suppose 0 = 2*j + 5*m - 450, 2*m = 4*j + 3*m - 918. Suppose 0 = -5*q + 3*l + j, -230 = -5*q - l - l. What are the prime factors of q?
2, 23
Let h(p) = 2*p - 3. Let v be h(4). Suppose -6*b + 15 = -b. Suppose b*t + v = 4*t. What are the prime factors of t?
5
Let b = 17 - 10. Suppose -3*q = b + 11. Let v = q - -11. What are the prime factors of v?
5
Suppose -6*q + 13 = -4*q - f, -1 = q + f. List the prime factors of q.
2
Let n(f) = f**2 - 5*f + 7. Let g be 1*1/(-3)*-15. What are the prime factors of n(g)?
7
Let u = 3 - 3. Let p be 0 + 5 + (-1 - u). Suppose 5*v = p*v + 12. What are the prime factors of v?
2, 3
Suppose 0 = 5*j - 2*x - 10, 4*x = 4*j - 7 - 13. Let m be 6/(8/4)*1. Let f = j + m. List the prime factors of f.
3
Let c(i) = i**3 - 6*i**2 - 1. Let o be c(6). Let j be o + 0 + 0 + 3. Suppose p = j*p - 6. What are the prime factors of p?
2, 3
Let r = 26 + 3. List the prime factors of r.
29
Suppose 4*b = 5*c - 2, 0 = -0*b + 3*b + c - 8. Suppose b*a - 2 = 4. What are the prime factors of a?
3
Let l = 42 - 30. Let r be l - (2 - 2) - 0. Suppose 4*a - r = 0, 0*q - 2*q + 4*a = 6. What are the prime factors of q?
3
What are the prime factors of 0 - -1 - 612/(-12)?
2, 13
Suppose -5*m = -3*m. Suppose m = -4*v + 5*o + 180, v + 8*o = 5*o + 28. What are the prime factors of v?
2, 5
Suppose 5*o - 133 = -0*p + 2*p, 4*o - 105 = 3*p. Suppose -4*s - 23 = 2*q + q, 0 = -5*s - 2*q - o. Let h = s - -12. List the prime factors of h.
7
Suppose 0*o = 4*o - 84. Let w = o + -3. What are the prime factors of w?
2, 3
Let q = -4 - -6. Suppose 1 = q*u - 5*k, -u - u + 22 = 2*k. List the prime factors of u.
2
Suppose 3*k = -11 + 26. Suppose 0 = -x - 2*l - 2, -k*x + 7 = 5*l + 2. What are the prime factors of x?
2
Suppose -488 + 124 = -4*z. List the prime factors of z.
7, 13
Suppose -r + 2*k + 9 = 0, -2*r - 5*k + 38 = r. Let j = r - 8. Suppose 0*m = j*v - 4*m - 52, -4*v = -m - 52. What are the prime factors of v?
2, 3
Let x(i) be the second derivative of i**3/6 + 5*i**2/2 - i. Let u be x(-5). Suppose 4*a + 0*a - 36 = u. What are the prime factors of a?
3
Let b be (-4)/(-18) - (-50)/18. Suppose 2*l - 12 + b = -3*z, -4*z = 4*l - 24. What are the prime factors of 8/(-36) + 47/l?
5
Suppose 5*b + 3*i = 21 - 7, 5*i + 26 = 4*b. Suppose 3*f - 14 + 5 = 0. Suppose 2*w - 9 = 2*o - 33, b = 2*o + f*w. What are the prime factors of o?
2
Suppose 3*b + 32 = b. Let z be 4/(b/6)*-32. Suppose -3*j + 5*j - 57 = -5*h, -4*h + z = 4*j. What are the prime factors of h?
11
Suppose 25 = 5*h - 5*t, -3*h - t + 6 = -5. Suppose -3*l + 44 = -5*l - 4*n, -h*l + 5*n - 127 = 0. Let a = 50 + l. What are the prime factors of a?
2, 11
Let g(u) = u**2 + 11*u - 32. List the prime factors of g(10).
2, 89
Let y(r) = 2*r**2 - 7*r - 8. Let a be y(6). Suppose 20 = 3*s - u, 2*u = -2*s + 7*u + a. Let t = 10 - s. List the prime factors of t.
2
Suppose 2*t + 350 = 9*t. What are the prime factors of t?
2, 5
Suppose -4*o - f = -3*o - 45, -5*f = 5. List the prime factors of o.
2, 23
Let r(s) = -10*s + 54. List the prime factors of r(4).
2, 7
Let v = 28 - -42. List the prime factors of v.
2, 5, 7
Let d = -13 + 9. Let a be d/(-3)*(-9)/(-6). Suppose a*o + 2*p - 32 = 0, -2*p + 28 + 26 = 4*o. What are the prime factors of o?
11
Suppose -2*s - 6*n + 4*n = -12, s = -4*n + 15. Let g(c) = -s*c + 7 + 4 - 3 + 2*c. What are the prime factors of g(-8)?
2
Suppose 20 = 2*v + 3*v. List the prime factors of v.
2
Suppose 0 = 10*z + 264 - 1264. List the prime factors of z.
2, 5
Let h(m) = -2*m**3 + 5*m**2 + 7*m - 7. List the prime factors of h(-5).
3, 37
Suppose 4*f - 6 = 10. Suppose 3*t = 2*c - f*c + 93, 5*c + 5*t - 220 = 0. List the prime factors of c.
3, 13
Suppose 2*g - 6 = 2. Suppose -3*f + 49 = -g*k, f + 0*k - 43 = -4*k. Let u = 38 - f. List the prime factors of u.
3, 5
Suppose 6*y - 4*y = -56. Let m = 39 + y. Let g = -5 + m. What are the prime factors of g?
2, 3
Let f = -5 - -6. What are the prime factors of (f - 0)*-1 + 14?
13
Let n be 26 + (1 - (0 - -3)). What are the prime factors of 149/4 - 6/n?
37
Let x = 4 - 4. Suppose 3*w - 2*c + 7*c - 17 = 0, 5*w + 5*c - 25 = x. Suppose -2*v = -w*v + 16. What are the prime factors of v?
2
Let k(a) = -2*a**3 - a. Let m = -3 + 1. What are the prime factors of k(m)?
2, 3
Let p be (-22)/2*(5 + -7). Suppose 0 = 2*g - 4*a - 4, -g - 5*a + p = g. List the prime factors of 100/6 + g/18.
17
Let t = 15 - 11. Suppose -2*g - t*y + 3*y = -17, 0 = -4*g - 5*y + 49. What are the prime factors of (4/g)/(6/45)?
5
Let t(b) = 7 + 2 + 2*b**2 - 10*b - 2*b**2 + 2*b**2. What are the prime factors of t(6)?
3, 7
Let d(l) = 0 + 4*l - 3 + 2*l**3 - l + 1. What are the prime factors of d(2)?
2, 5
Let j = 13 - 8. Let d = j - 2. What are the prime factors of d?
3
Suppose 5*f + 145 = 15. Let g(j) = j**2 + j + 8. Let b be g(-6). Let p = b + f. List the prime factors of p.
2, 3
Suppose -4*r + a = -0*r - 88, 3*r - 2*a - 71 = 0. Let i be (-1)/(-7) + (-108)/r. List the prime factors of (-8)/(-40) - 84/i.
17
Let i be (3 - -5)*-1*-13. Suppose 5*g = i - 9. What are the prime factors of g?
19
Let w(p) = 13*p - 1. Let x be w(1). Suppose -4*i - x - 24 = 0. What are the prime factors of (-11)/(-3) + (-3)/i?
2
Let d(h) = -h**3 - h**2 + 4*h + 1. List the prime factors of d(-3).
7
What are the prime factors of (50/8)/((-6)/(-24))?
5
Suppose 5*a = 0, 3*o - o + 5*a = -12. List the prime factors of (2 - (-82)/o)*-3.
5, 7
List the prime factors of (-1 - 4)*(-79)/5.
79
Let d = 3 - -12. Suppose 0*n + d = 3*n. List the prime factors of n.
5
Suppose 0 = -2*n - 3*j - 4, 3*n = 4*n - 5*j - 24. Suppose 2*b + 0*b = -n*h + 90, 0 = h + 3*b - 20. List the prime factors of h.
23
Suppose -6*u + 9*u = 0. Suppose 3*a + u*a = -t + 79, 0 = 4*t + 20. List the prime factors of a.
2, 7
Suppose -4*f - 3*l + 606 = 0, -f - 3*l = -0*l - 156. List the prime factors of f.
2, 3, 5
Let k(u) = -u**2 - u - 1. Let a(v) = -8*v**2 - 2*v - 7. Let n(h) = -a(h) + 6*k(h). Let c = 5 + -2. What are the prime factors of n(c)?
7
Let v(u) = 1. Suppose -4*j - 2 = -10. Let c(y) = -y - 8. Let n(w) = j*v(w) - c(w). What are the prime factors of n(0)?
2, 5
Let j(l) = 3*l**3 - 3*l**2 + 4*l - 3. Let x be j(2). Suppose -3*g - x + 59 = 0. List the prime factors of g.
2, 7
Let i = 14 + 12. List the prime factors of i.
2, 13
Let k be (-22*2)/((-12)/18). List the prime factors of (-12)/k + 732/33.
2, 11
Let g(p) = -2 - 6 + 3 + 4 + p**2. Let d = 2 - 4. What are the prime factors of g(d)?
3
Suppose -4*d + 15 = -5. Suppose -d*h + 69 = -1. What are the prime factors of h?
2, 7
Suppose -12 = -5*n - 4*y, 0*n + 2*n + 15 = 5*y. Let v = 3 - n. Suppose -g = 2*t, 5*t + 33 = v*g - 0*t. List the prime factors of g.
2, 3
What are the prime factors of 6/(5*4/90)?
3
Let k be 1/3 - 10/3. Let z(r) = -4*r + r**2 + 2 - 3*r + 8*r. List the prime factors of z(k).
2
Suppose -12 = -p - 6. List the prime factors of ((-5)/(-3) + 3)*p.
2, 7
Suppose 114 - 90 = 2*a. List the prime factors of a.
2, 3
Suppose 46 = 4*v + 14. List the prime factors of v.
2
Let x = 7 - 0. Suppose 2*f = x*f. Suppose f = -2*l + 8 + 14. What are the prime factors of l?
11
Let m be (-30)/(-135) + (-1346)/(-18). Suppose 0 = 5*x + 5*y - m, -3*x - 2*x + 75 = -y. List the prime factors of x.
3, 5
Suppose 0 = 4*x + 1 - 29. Let t = x + -9. Let r(o) = 4*o**2 + 2*o + 1. What are the prime factors of r(t)?
13
Let p(d) = 96*d + 1. What are the prime factors of p(1)?
97
Let h(i) be the first derivative of i**2 + 12*i - 5. List the prime factors of h(6).
2, 3
Suppose 2*k - 32 = 148. Suppose 0 = -2*o - 2*b + 2 - 16, -o + 4*b + 13 = 0. List the prime factors of ((-1)/o)/(3/k).
2, 5
Suppose b = 5*b. Let w = 2 - b. List the prime factors of w.
2
Let c = 8 - 5. Suppose 0*z - 5*z - c*t = -23, 4*z - t = 15. List the prime factors of z.
2
Let l(d) = -5*d - 2. What are the prime factors of l(-3)?
13
Let b = 9 - 6. Suppose -4*c + 16 = 0, -b*v + c + c + 10 = 0. Let m = 11 - v. What are the prime factors of m?
5
Let q be 0/(-7)*(-1)/1. Let s be (q - 0 - -3) + -1. Suppose -5 + 23 = s*x. What are the prime f
|
{
"pile_set_name": "DM Mathematics"
}
|
o 0.1? (a) 1 (b) -3 (c) 13 (d) -146/5 (e) 2
a
What is the nearest to 2/9 in 8/11, -2/9, -12, 0, -6?
0
What is the closest to -2 in -1, 1187, 2?
-1
What is the closest to 2/5 in 1/11, 100, 0.3, -4/7?
0.3
Which is the nearest to -0.06? (a) 23 (b) 8 (c) -2/3 (d) -0.03
d
What is the closest to -1 in 1, -2, -323, 0.5, 6/19?
-2
What is the closest to 0.22 in 0, -0.5, 5, -2/9, 73?
0
Which is the closest to 2/11? (a) -0.57 (b) 0.197 (c) -0.1
b
Which is the closest to -0.1054? (a) 0.5 (b) -2/5 (c) 261
b
Which is the nearest to 1? (a) 18 (b) -2 (c) 4/7 (d) -10 (e) 0
c
What is the nearest to 11 in -0.3, 2.5, 2, 45/4?
45/4
Which is the nearest to 243? (a) -0.19 (b) -1 (c) 0.2
c
What is the nearest to -2 in -3, -119, 1, 76, -2?
-2
What is the nearest to 11 in -2, -11, 0.23?
0.23
What is the closest to -2/329 in 3/11, 0.4, -0.3, -4, 1?
3/11
Which is the nearest to 0.1? (a) 5 (b) 0.15 (c) -511 (d) -0.2
b
Which is the closest to 9/40? (a) 2 (b) -0.3 (c) 1/3 (d) 4 (e) 0
c
What is the nearest to -0.1 in 3/8, 0.2, 0, 2.19?
0
What is the nearest to -51.1 in 7, -4/5, 2/9, -1?
-1
Which is the nearest to 7/10? (a) -0.1 (b) -40 (c) 5 (d) -1/3
a
What is the nearest to -2/23 in 0.324, -2/9, -17, -0.5?
-2/9
What is the nearest to 0 in 510, 5, 0.4, -2/3?
0.4
Which is the nearest to -47? (a) 35 (b) -2 (c) -0.3
b
What is the nearest to 0 in -3, -76/7, 6/19, 2/5?
6/19
What is the nearest to 3 in -3, -4, 195, 4?
4
What is the nearest to -24 in 2/7, -0.14, 8?
-0.14
Which is the nearest to -1/5? (a) -4 (b) -3 (c) -8629 (d) -1
d
What is the closest to -0.1 in -0.3, 1, 2/49, -160?
2/49
What is the closest to 3/8 in 3, 16/13, -1/16?
-1/16
What is the nearest to -0.1 in -262/23, 3, 0.4, -4, -1/12?
-1/12
Which is the nearest to 0.2? (a) 3 (b) -52 (c) 8 (d) 2 (e) 1/4
e
What is the closest to 0.2 in -1/3, 0.9, 2/5, -101, 1/4?
1/4
What is the nearest to 1/5 in -2, -5/4, -6563?
-5/4
Which is the nearest to 2/5? (a) -0.2 (b) 16.93 (c) -238
a
What is the nearest to -1/10 in -137, -0.2, 0.04, 0.03, -1/6?
-1/6
What is the nearest to -14 in 48, -1/4, -0.041, 4?
-1/4
Which is the closest to 4? (a) 0.2 (b) 2/5 (c) 23 (d) 2
d
Which is the closest to 16? (a) 3/4 (b) 1384 (c) 5/6
c
What is the closest to 90 in 4, -1/4, -21, -2?
4
Which is the nearest to 3/5? (a) -7 (b) 72 (c) -2.7
c
What is the closest to 1/4 in 25/48, -0.3, 32?
25/48
Which is the closest to -0.18? (a) -5 (b) 2/9 (c) -0.16
c
What is the nearest to -9/5 in -911, -5, -4?
-4
What is the nearest to 4 in -1, 2.3, 0.4, 358?
2.3
What is the closest to -5/3 in -0.4, -343, -11/5, -1?
-11/5
What is the nearest to 293 in 16, 0, -1?
16
What is the closest to -1/4 in 11, -4/3, -0.73, -3?
-0.73
Which is the nearest to 0.2? (a) -4/7 (b) -118 (c) 1 (d) -15
a
Which is the closest to -15? (a) 74 (b) 4 (c) 2 (d) 10
c
What is the nearest to 2/3 in 0.5, 6, 278/13?
0.5
What is the nearest to -0.05 in 0.5, 4, 8, 4/7?
0.5
Which is the closest to 1/4? (a) -17 (b) 2/13 (c) 1/7 (d) -5
b
What is the closest to -33 in 6/7, 2/5, -5, -1, 1056?
-5
What is the nearest to -24 in -44, 0, 0.2, 1?
-44
Which is the closest to 2? (a) -2/7 (b) -2113 (c) -0.1 (d) -0.05 (e) -2
d
Which is the closest to -3? (a) 1/7 (b) 2.266 (c) 2/7
a
Which is the closest to -3/236? (a) 1/5 (b) 0.3 (c) 0 (d) -1
c
Which is the nearest to -232? (a) -8 (b) 0.5 (c) -0.2
a
What is the nearest to -62 in -0.1, -4, 0.17, 7, 5?
-4
What is the nearest to -0.06 in -1, 58, 2, -353, -2?
-1
Which is the nearest to 32? (a) 7.87 (b) 1/4 (c) -0.5 (d) -3 (e) 1/2
a
Which is the closest to 9? (a) -1/2 (b) -10 (c) 0.3 (d) -11/5 (e) 1
e
Which is the nearest to -1? (a) 12 (b) 2/7 (c) -3/5 (d) -9/10
d
Which is the closest to 469? (a) 136 (b) 1/3 (c) 0.4
a
What is the closest to -20/13 in -0.21, -1, 5?
-1
What is the nearest to 0 in -1, -2/71, -4, -59/5?
-2/71
What is the closest to 5 in 3, 3/11, 0.3, 2/35?
3
Which is the closest to 2/11119? (a) 3 (b) 4 (c) 1/10
c
What is the closest to -2/49 in 1, 0, 11, -32/5?
0
What is the nearest to 227 in 1/25, 5, -2/7, 0.3, -0.3?
5
Which is the nearest to -99? (a) 2/7 (b) 4 (c) 12 (d) 2
a
What is the closest to -2/5 in -8/3, -46/7, -2/9, -2?
-2/9
Which is the closest to 1? (a) -2 (b) 1 (c) -33 (d) 3
b
Which is the nearest to 1.567? (a) 7 (b) -0.5 (c) -0.4 (d) 0.1
d
Which is the nearest to 0.1? (a) -3 (b) 1/13 (c) 0.2 (d) 43
b
Which is the nearest to 3/4? (a) 0.5 (b) 2/11 (c) -3/8 (d) -3 (e) -0.0842
a
What is the closest to 1 in -3, -4, 0, 90.15?
0
Which is the nearest to -3/16? (a) -0.2 (b) 2 (c) -0.3 (d) 94 (e) -2/17
a
Which is the nearest to 0.3? (a) -1/4 (b) 1 (c) 2 (d) -3/7 (e) -20
a
Which is the nearest to -2/9? (a) 0.2 (b) -0.02 (c) -5 (d) -1
b
What is the nearest to 2 in -1.7, -168, 2/9, -0.3?
2/9
What is the nearest to -28 in 3/115, -2, 2/7, -2/9?
-2
Which is the closest to 2? (a) 2/925 (b) 0.5 (c) -0.7
b
What is the nearest to 213641 in 2/9, -2/13, 4?
4
What is the closest to 1/2 in -140, 203, -2/17?
-2/17
Which is the nearest to -1/1089? (a) -0.1 (b) -0.4 (c) 2
a
What is the closest to -114 in 3/5, -2/7, 379?
-2/7
What is the nearest to 1 in 1.36, 8, 2/3, -0.1?
2/3
What is the nearest to -1/5 in -1/3, 2, 3, -0.11, 0?
-0.11
What is the nearest to 1/3 in 1/9, 2, 5958, 2/7?
2/7
What is the closest to -19 in 4/9, 200, 5/3, -5?
-5
What is the closest to 0 in 1, 0.2, 78/67?
0.2
What is the closest to -1 in 2/3, -8, -2/3, -525?
-2/3
What is the nearest to -0.3 in 1/9, -23, -1/2, -8?
-1/2
Which is the closest to 2? (a) -0.5 (b) 0.021 (c) -5 (d) -46
b
Which is the nearest to -1? (a) -1 (b) 42/13 (c) 3 (d) 83/4
a
What is the closest to -0.3 in -57, -3, 0.5, 546?
0.5
What is the nearest to 0.2 in 1/8, -0.1, 1.628, -0.5?
1/8
What is the closest to 8 in 4, -32, -0.4, 2, 7?
7
Which is the closest to 2? (a) -5 (b) -178 (c) -0.11 (d) 0.5 (e) -1/2
d
Which is the nearest to 0.1? (a) -1 (b) -733 (c) 2
a
What is the closest to -0.1 in -2/3, -1/68, -12, 3?
-1/68
What is the nearest to -27858 in -3, -0.1, -4?
-4
Which is the closest to 6? (a) -3 (b) -19 (c) -5 (d) 0 (e) 3
e
What is the nearest to -2053 in -0.12, -1/3, 2/5?
-1/3
What is the closest to -4 in -23, 0.1, -72, -5, -2/7?
-5
What is the nearest to 10/7 in -0.08, -2/15, 1, 5?
1
What is the closest to 1 in -3/7, 4, -0.04, 859, 0.4?
0.4
What is the closest to -0.5 in 5, -30, 20?
5
What is the closest to -1/4 in -0.4, 3/13, 0.03, 2/13, 117?
-0.4
What is the nearest to 2/7 in 1, -2.1, -2.03?
1
What is the nearest to 0.07 in -0.34, 3.33, 2/9?
2/9
What is the closest to -2 in -985, -3, -13, 0?
-3
Which is the closest to -0.1? (a) -12 (b) 3 (c) -15 (d) 0 (e) -7
d
What is the closest to 0.7 in -1.19, 0, -10?
0
Which is the nearest to 3? (a) -0.5 (b) -24 (c) 4/5 (d) -1077 (e) 4
e
What is the closest to 8 in -2, 0.1, -5, -1?
0.1
Which is the nearest to -132.4? (a) 3/11 (b) -2/13 (c) 1 (d) 3
b
Which is the nearest to -0.19? (a) -1/2 (b) 3 (c) 0.2 (d) 0.3 (e) -1
a
Which is the nearest to 1? (a) 5/11 (b) -1.3 (c) 0.4 (d) 0.6
d
Which is the nearest to 2? (a) -5 (b) 1 (c) 23 (d) 1/6
b
Which is the nearest to -6? (a) 2177 (b) 1/14 (c) -1/4
c
Which is the closest to -0.06? (a) -0.178 (b) -0.6 (c) -3
a
Which is the nearest to -1/4? (a) -1/5 (b) 2619 (c) -1 (d) 0.44 (e) 0
a
What is the nearest to 24/5 in 5, -6, 0.2?
5
Which is the nearest to -3? (a) -8035 (b) -5/4 (c) 0 (d) -2/9 (e) -0.07
b
Which is the closest to 0.09? (a) 1/83 (b) 4 (c) -3 (d) 2/11 (e) -6
a
Which is the closest to 0.1? (a) 3 (b) -1.4 (c) 42.7 (d) 1
d
Which is the nearest to -1/16? (a) -4/3 (b) -4 (c) 4/3 (d) 0.1 (e) 2/3
d
What is the closest to 1/2 in 4, -1, 3, 0.3, 931?
0.3
Which is the nearest to 0.1? (a) -6 (b) 8 (c) -6/11 (d) -157 (e) -0.3
e
Which is the nearest to 34612? (a) 2 (b) -4 (c) -5 (d) 4
d
What is the nearest to 1 in -2, -1962, -2/7?
-2/7
Which is the closest to -73.6? (a) -3/10 (b) -2/9 (c) -3/4
c
What is the closest to 4/9 in -1, 1/27, 1/4, -142?
1/4
Which is the nearest to 11? (a) 0.4 (b) -2 (c) -0.5 (d) 26
a
Which is the closest to 0.7? (a) 346 (b) 5 (c) 1
c
What is the nearest to -1 in -0.5, -7/4, 0.2, 2, 5?
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let s = i + 51. Is (-3)/(((-36)/(-1228))/s) a prime number?
True
Let c = -73 - -372. Suppose -v - s + 108 = 0, -5*s = -v - 2*v + 300. Let x = c - v. Is x a prime number?
False
Suppose -13 = -3*m - m + b, -2*m - 5*b = -1. Let p be m*18 - (21 - 20). Suppose 0 = 52*g - p*g + 211. Is g prime?
True
Let l be (-314)/(-13) - 5*4/130. Suppose -9*j = -l*j + 36285. Is j a composite number?
True
Let o(d) = 1935*d - 7. Suppose 0 = 5*p + 2 - 12. Is o(p) a prime number?
True
Suppose -2*p = -4*c - 6, -3*p = -c - 13 + 4. Suppose 3*j + p*j + 48 = 0. Is (3 + -4 - -7)/(j/(-268)) a prime number?
False
Suppose 54*a = -9*a + 378. Let g(t) = 498*t**2 - 1. Let n be g(-1). Suppose -b + n = a. Is b a composite number?
False
Let o = 437 + -177. Suppose -266*w + 42474 = -o*w. Is w a prime number?
True
Is ((-144561)/(-6) - 2/4) + 4 prime?
True
Suppose 2*h - 381026 = 22*g - 25*g, -3*h = -g - 571517. Is h prime?
True
Suppose 0 = -6*o - 3*o + 361206. Suppose 5*i = -5*s - 0*i + 40110, 0 = -5*s + i + o. Let b = s + -4779. Is b composite?
True
Suppose 0*w + 6 = 3*w. Is 6 - (-3244 + (w - 3)) prime?
True
Suppose a + 7*d = 3*d - 3252, 6486 = -2*a + d. Let v = a - -7205. Is v prime?
False
Let s(b) = 29*b**2 - 3*b + 1541. Is s(-41) a composite number?
True
Let s be 232*171/6 + 6. Suppose -s = -4*k + 314. Is k a prime number?
True
Let u(j) be the third derivative of 7*j**5/60 + 19*j**4/12 - j**3/6 + 18*j**2. Let a(d) = d**3 + d - 18. Let w be a(0). Is u(w) prime?
True
Is (-1241650)/(-7) - (351/63 + -6) a composite number?
False
Is 336437/(7 - (-15)/(-4)*120/75) a prime number?
True
Suppose -2*f - f = q, 3*f = 4*q. Suppose q*j = j - 3013. Is j a composite number?
True
Suppose 7630998 = 7*t + 1783513. Is t a composite number?
True
Let n(p) = -14462*p - 9165. Is n(-8) a prime number?
True
Let s(b) = -73*b + 10. Suppose 0 = -4*p + 8, 5*p - 12 + 2 = 2*i. Suppose z - 3 = i, 3*d - 3*z + 7 = -23. Is s(d) a composite number?
False
Let s be (-359976)/20 - 2/10. Let t = -6410 - s. Is t prime?
False
Suppose -3*q + 5*k + 66 = 15, 0 = 3*q + 5*k - 51. Is (q/((-459)/185202))/(2/(-3)) prime?
True
Let f(r) = r**2 - 12*r - 62. Let b be f(16). Is (249/b)/(((-483)/70)/(-23)) a prime number?
False
Let x(p) = 1285*p**2 - 108*p - 15. Is x(-8) composite?
False
Suppose 7463 + 4681 = 2*u. Let p = u - -265. Is p a composite number?
False
Suppose -4*a + 5*t + 1940589 = 0, 0*a + 4*t + 1940584 = 4*a. Is a a prime number?
False
Let b(s) = 3*s**2 - 91*s + 535. Is b(49) a composite number?
True
Let j(s) = 7*s**2 - 2. Let o(z) = -5*z**2 - 3*z. Let m(x) = -j(x) - 2*o(x). Let i(a) = a**3 + 5*a**2 + 3. Let r be i(-5). Is m(r) a prime number?
True
Suppose 415064 = 45*v + 59*v. Is v prime?
False
Let p = 33793 - 8136. Let k = -13728 + p. Is k prime?
False
Let a(q) = -18*q**3 - 24*q**2 - q - 1. Let r be a(8). Let t = -4280 - r. Is t a composite number?
False
Suppose 5*l = -3*r - 8, -l = -3*r - 3*l - 14. Is r/(-39) + (-145299)/(-13) a composite number?
False
Suppose -120*h - 112*h + 36442758 = 26*h. Is h prime?
False
Suppose 140*m - 2280046 = 2165094. Is m prime?
True
Is 1673982/21 - ((-108)/(-21))/(-9) - -5 composite?
True
Let n(x) = 37*x**2 - 36*x - 15. Let v(h) = -9*h**2 + 9*h + 4. Let l(s) = -2*n(s) - 9*v(s). Is l(-5) a prime number?
False
Let r(w) = -w**3 - 6*w**2 + 12*w - 8. Let d be r(-8). Let l = d - 21. Is l a composite number?
False
Let v(c) = -50*c**3 + 3*c**2 + 1. Let l be v(3). Let b be (-8)/2 - 205*(-3 - -2). Let f = b - l. Is f a prime number?
True
Let b = -146 - -150. Suppose 0 = 5*h + 3*u - 8545, -3*h + b*u = -1625 - 3502. Is h composite?
False
Let r(w) = 461*w + 1620. Is r(79) a prime number?
True
Let j(v) = 4*v + 68. Let t be j(15). Is (622/3)/(t/2112) a prime number?
False
Suppose 7*r - 16 - 12 = 0. Suppose r - 46 = -6*i. Suppose -436 = i*y - 2585. Is y a prime number?
True
Let b be 242 - (4/12 - (-42)/(-18)). Suppose 0*v = v - 5*t - b, -5*v - 2*t = -1301. Is v composite?
True
Suppose -2101788 - 795626 = -32*h + 6*h. Is h a prime number?
True
Let q(x) = -10*x**3 - 2*x**2 - 4*x + 4. Let t be q(9). Let a = -4233 - t. Is a a composite number?
False
Suppose -3*g + 366366 + 489672 = 3*g. Is g prime?
True
Is (-8710796)/(-28) - ((-234)/(-126) + -1) a prime number?
True
Let q = 780 - 427. Is q*(5 + -2)*(2 - 1) prime?
False
Let o(c) = -11*c + 9587. Suppose -q - 2 = -5*b, -4*b + 7*q - 4*q + 6 = 0. Is o(b) a prime number?
True
Let k(i) = 2*i - 6. Let c be k(4). Suppose 2*w - 3478 = -2*v, 5*w - c*v + 5078 = 13745. Is w a prime number?
False
Suppose -8*y + 10*y + 6 = 0. Let i be (793/y - -4)/((-1)/3). Suppose 0*r + i = r. Is r a composite number?
True
Let u(y) = 7 - 5*y + 5*y + 24 - 10*y. Let g be u(-4). Is g - (-9)/3*6/(-9) composite?
True
Suppose -8*y + 76 = 11*y. Is 28/y + -9 + 2787 a composite number?
True
Suppose -3*c + 4*q + 244 = c, -2*c + 5*q = -107. Let g = -566 + c. Let m = g + 879. Is m a prime number?
True
Suppose p - 15 = 5*w, 0*w + 3*w + 27 = -3*p. Let t be (2/(-8))/((11/w)/(-11)). Is (-579)/(-3) + -1 + (t - 0) prime?
True
Is (((-1639270)/(-50))/((-2)/10))/(-1) a prime number?
True
Let g = 68 - 66. Suppose 5*r = -4*u + 2769, 4*u + 842 + 288 = g*r. Is r a composite number?
False
Let a(m) be the second derivative of -m**4/6 + 7*m**3/3 - 5*m**2/2 - 9*m. Let o be a(9). Is -2 + 1 + (-1 - o) a composite number?
True
Let u(t) = -6*t + 5 + 3*t - 36. Let x be u(-11). Suppose -4*z = -h + x*h - 459, 4*h - 2*z - 1926 = 0. Is h prime?
True
Let c(b) = b**3 + 12*b**2 + 11*b + 7. Let k(d) = d**2 + d - 1. Let n(z) = -c(z) - 3*k(z). Let v be n(-14). Is 2/(v + (-4)/(-8818) + 4) a prime number?
True
Let g = -55 + 55. Suppose n + g + 4 = 0. Is 10 + n + 122 + 2/(-2) a prime number?
True
Let h(q) = 24*q**3 - 4*q**2 + 25*q - 20. Is h(9) a prime number?
True
Let t = -14 + 17. Let d(r) = -27 - r - r**2 - 6*r**t + 5*r**3 + 1178. Is d(0) prime?
True
Let v(i) = -155*i**3 - 50*i**2 - 193*i - 1. Is v(-6) prime?
False
Let k = 366 + -363. Suppose 32*m - 4927 = -z + 30*m, -14821 = -k*z + 2*m. Is z a composite number?
False
Suppose 3*d = -5*p + 5633, -3*d + 1623 + 632 = 2*p. Let i = p + -791. Is i prime?
False
Is 657032/(-10)*1505/(-172) a prime number?
False
Suppose -2*m + 11 = -5. Suppose -2*x = -m + 4. Is (((-6)/9)/(x/1623))/(-1) a prime number?
True
Suppose -13*y + 325891 + 165119 = 0. Suppose 5*m = -5*q + y, -7556 = 3*q - 4*q + m. Is q prime?
False
Suppose -172 = 17*f - 155. Is (1/(-1))/(f/16671) - 0 a composite number?
True
Let j = 23072 + -19413. Is j a composite number?
False
Let x = -2935 + 4522. Let p = 13389 + -13387. Is 6/6*(x + p) a prime number?
False
Let h = 39238 + -17245. Is h a composite number?
True
Let i(u) be the third derivative of -u**6/60 + u**5/60 - u**4 - 7*u**3/3 - 118*u**2. Is i(-13) composite?
False
Suppose -4*c - 148 - 134 = p, -5*p - c = 1334. Let b = 53 - p. Is -1*(-4 - -6) + b prime?
True
Is -4049*(-2 - (-6 - -11)) a prime number?
False
Suppose 1065092 + 343089 = 60*o - 1818199. Is o prime?
True
Let w(t) = -305981*t - 363. Is w(-1) composite?
True
Let n = -4855 - -7507. Suppose 0 = 2*m - 3472 + 510. Let x = n - m. Is x a composite number?
False
Suppose f = 2*t - 4, -f - 4*f - 4*t = 76. Is ((-18)/27)/((-4)/f)*-541 a composite number?
True
Let z(y) = 108*y**2 + 65*y + 143. Is z(-20) a prime number?
True
Suppose -2*a + o - 6*o + 370016 = 0, 0 = -4*o + 24. Is a a composite number?
False
Let g(s) = 0 + 29*s**2 + 6*s + 0 + 3 - 2*s. Let n be g(-1). Suppose 0 = 28*z - 24*z - n. Is z composite?
False
Suppose 5569086 + 1367729 = 38*i - 2835759. Is i a prime number?
False
Let y be 24/(-72) + (-4)/(-3)*4. Suppose 0 = -5*x + o + 30158, 78*x - 75*x - 18108 = y*o. Is x composite?
True
Let o be (18 + -16)/((-2)/(-17)). Let k = 19 - o. Suppose m + i = k*i + 247, -5*m + i + 1251 = 0. Is m prime?
True
Let v be (28/(-8)*2)/(-1). Suppose -v - 97 = -8*t. Suppose 3*g + 22430 = t*g. Is g composite?
False
Suppose -5*l + 0*l + a + 18010 = 0, l - 3621 = 4*a. Suppose -5*t + 3*m = -l, t - 203 - 522 = 3*m. Is t composite?
False
Let z = 8885 - 5614. Is z composite?
False
Suppose 3*f + 3*p = -6, 0 = -5*f - 3*p + 2*p - 6. Let m be 13/((-26)/(-8)) + f + -1. Suppose -a - m*q + 131 = -0*q, 5*q - 20 = 0. Is a a prime number?
False
Let g(y) = -y**3 + 6*y**2 + 15*y + 8. Let r be g(8). Suppose 0 = -r*p + p - 613. Suppose 0 = 3*c - 2*a - p,
|
{
"pile_set_name": "DM Mathematics"
}
|
12*m + 3*m + (-4*m + 3*m + 2*m)*(-3 + 2 + 3) + 3*m - 3*m + 2*m to l*m + a and give l.
-21
Express (-5 - 2 + 3)*(-2*g - 2*g - 8*g) + g - 5*g + 3*g in the form j*g + w and give j.
47
Express (15 - 6*h - 15)*(-2*h**3 - h**3 - h**3) as k*h**4 + s + d*h**2 + i*h + l*h**3 and give k.
24
Express ((-2*z + z + 0*z)*(-4*z - 2*z + 7*z) + (-3 + 4 - 2)*(2*z**2 - 1 + 1))*(-6*z + z - 8*z) in the form v*z**3 + b*z + u*z**2 + w and give v.
39
Rearrange 89*z**4 - z**3 - z**2 - 4*z + 3 - 88*z**4 + z**3 to u*z + q*z**3 + v + o*z**2 + p*z**4 and give o.
-1
Rearrange 16*o + 8*o - 15*o to k + f*o and give f.
9
Express -11*p**2 + 16*p**2 + 12*p**2 + (1 + 2*p - 1)*(4 + 2*p - 4) - p**2 + 5*p**2 - 5*p**2 in the form m*p**2 + h + f*p and give m.
20
Express (-b - 5*b + 3*b)*(-16*b - 6*b - 16*b) as n*b**2 + c + s*b and give n.
114
Rearrange -3 + 8 - 2*s - 4 + 5 to the form u + r*s and give u.
6
Rearrange (-2*i + 3*i - 3*i)*(-1589 + 1589 - 122*i**2) to the form v*i**3 + q*i + c*i**2 + x and give v.
244
Express 27 + 3*m - 3*m - 2*m - 8 as o*m + t and give t.
19
Rearrange 3 + 26*g + 1 - 5 to l*g + f and give f.
-1
Rearrange 9*f - 2*f - 3*f + (1 + 4 - 3)*(-3*f + 4*f + 3*f) + 0*f + 0*f + f + (-2 + 2 - 1)*(1 - 1 - 2*f) to the form n + p*f and give p.
15
Express -3*w + 47*w**4 + 4*w - 2*w**3 - 43*w**4 - 2*w**2 in the form f*w**4 + v*w**3 + q + a*w**2 + r*w and give v.
-2
Express -5*h**2 - 7*h - 32*h**2 + 7*h in the form b*h + j + m*h**2 and give m.
-37
Express (-3 + 3 + 2*n)*(-476*n - 93 + 0 + 474*n) in the form t*n + g + k*n**2 and give t.
-186
Rearrange 0*o - 2*o + o + (o - 3*o + o)*(4 - 3 - 3) to c*o + i and give c.
1
Rearrange (6 + 2 - 1)*(-v + 7 - 7) to the form y*v + b and give y.
-7
Express s**2 - 10*s**2 + 11*s**2 - 2*s**3 as i*s + p + g*s**3 + n*s**2 and give g.
-2
Rearrange -2 + 57*u**3 + 43*u**3 + 3*u**2 - 65*u**3 to v*u**2 + q*u + g + y*u**3 and give v.
3
Express (3 - 3 - 2*g**2)*(1 + 1 - 3) - 14*g**2 + 25*g**2 + 67*g**2 in the form l*g**2 + n + w*g and give l.
80
Express 3*o**2 - 5*o**3 + 2*o**2 + 19*o**3 - 13*o**3 - 4 in the form u + n*o**3 + m*o**2 + v*o and give m.
5
Rearrange 15*u**2 + 6*u**2 - 2*u**2 + 17*u**2 to h*u + v + k*u**2 and give k.
36
Rearrange 9 - 18 - 6*q + 12 to t*q + a and give t.
-6
Express -33*n**4 + 2*n + 240 - 240 + 11*n**4 + 3*n**3 in the form h*n**4 + s*n + m*n**3 + f*n**2 + r and give h.
-22
Rearrange -6*h + 1 - 4*h**3 + h**4 + 18*h - 12*h to r*h**2 + o + u*h**4 + j*h**3 + p*h and give u.
1
Express 2*g - 2*g**3 - 2*g - 4*g + 5*g + 3*g**4 - 1 - g**2 in the form c*g**3 + s*g + b*g**4 + o*g**2 + d and give s.
1
Rearrange 0 - 1 - b**2 - 7 to z*b**2 + q + j*b and give z.
-1
Rearrange 3*a + 4*a**2 + 6*a - 8*a to v + x*a**2 + q*a and give q.
1
Rearrange -6 - 4 + 21*b**3 - 18*b**3 + 2 to r*b**3 + l*b**2 + s + z*b and give s.
-8
Express (-2*u - 2*u + 6*u)*(-19 - 13 - 4) + 2*u - 2*u - 2*u + 2 as x + g*u and give x.
2
Rearrange l - 2*l - 12*l**2 + 55*l**3 - 54*l**3 + 3*l to the form t*l**2 + z*l + s*l**3 + o and give t.
-12
Rearrange 3*s**3 - 1 - 8 - 3 + 4 to u*s + v*s**3 + g + q*s**2 and give g.
-8
Rearrange (-9*o - 11 + 2*o + 4*o)*(9*o + 3*o - 2*o) to g + y*o**2 + b*o and give y.
-30
Express 3*b**3 - 5*b**3 - 4*b**2 + b**2 - 6*b**3 in the form m*b**2 + o + c*b + i*b**3 and give m.
-3
Express 0*t + 6 + t - 8 - 26*t in the form z*t + b and give z.
-25
Express (l - 6*l - 3*l + (2 - 5 + 1)*(-3*l - 4*l + 5*l) - 2*l + 2*l - 2*l)*(2*l - 4*l + l) in the form g + j*l + i*l**2 and give i.
6
Express 0*x**2 - 7 + 2*x + 0*x**2 + 4 - x**3 in the form d*x**3 + j*x + a + v*x**2 and give v.
0
Express (14 - 26 - 3*n + 14)*(6 - 1 - 3)*(2*n**2 - 4*n**2 + 4*n**2) in the form m*n + g + k*n**2 + a*n**3 and give k.
8
Rearrange 3*i + 0*i - 2*i + (3 + 1 + 0)*(-2 + 1 + 6 + 2*i) to b + j*i and give j.
9
Express -38*b + 43*b + 33*b - b in the form h*b + l and give h.
37
Express p + 2*p**2 - 3*p - 2*p**3 + 11 - 4*p - 13 in the form v*p**3 + a*p**2 + l*p + k and give k.
-2
Express 18 - 2*a + 17 + 11 as r*a + i and give i.
46
Express 11*u**2 - 3*u**2 + 18*u**2 + 2*u**2 as v + c*u + q*u**2 and give v.
0
Express (0*u**3 - u**3 + 8*u**3)*(1 - 4*u - 1) as p*u**2 + w*u**3 + h + r*u**4 + c*u and give r.
-28
Rearrange 2*x**3 + 2*x - 2 - 4*x - 10 to the form s*x + v + g*x**2 + p*x**3 and give v.
-12
Rearrange (-2*s + 0*s + s)*(2 - 2*s - 2)*(-5 + 0 + 3) to the form z + b*s**2 + r*s and give b.
-4
Express -2 - 30*v + 2 as l*v + f and give l.
-30
Rearrange (0 - 1 + 2)*(s - 3*s + 4*s) + (1 + 6 - 1 - 3 + 6 - 1 + (12 - 7 - 3)*(4 - 2 + 0))*(0*s + 4*s - 2*s) to the form v*s + y and give v.
26
Express 2*a + 4*a**3 - 2 + 4*a**4 + 0 - 3*a**4 - 6*a**3 - 2*a**2 as k*a**3 + z*a + x*a**2 + m*a**4 + b and give x.
-2
Rearrange (5 + 16 + 2)*(-4*a - 5*a + 4*a) + 2*a + 4*a - 5*a + (1 - 2 - 1)*(-a + 6*a - 4*a) - 4*a + 0*a + 2*a to the form f + l*a and give l.
-118
Rearrange 7054 - 200*x**3 - 7054 + 711*x**3 + (-4 + 2*x**3 + 4)*(0 + 3 - 4) to p*x**2 + y*x**3 + l + n*x and give l.
0
Express z - 10*z**2 - 1 - 3*z**2 - z in the form b + p*z + v*z**2 and give v.
-13
Express -1 + n**3 - 2*n + 1 + (-3 + 3 + 2*n)*(n**2 - 5*n**2 + 2*n**2) + 4*n**3 - 5*n**3 + 8*n**3 as p*n**3 + v*n + g + d*n**2 and give d.
0
Express 2*i**4 + 5*i**3 + 2*i**4 - i**2 + 4*i**3 - 5*i**4 as v*i + z*i**3 + q + a*i**2 + c*i**4 and give c.
-1
Rearrange -4*x - x**4 - 76*x**2 + 76*x**2 - 2*x**3 - 1 to p + n*x**2 + r*x**4 + s*x**3 + h*x and give r.
-1
Rearrange -3 + 2*n + 5 + 6 to c*n + g and give g.
8
Rearrange -2*i + 18*i + 3*i + 8*i to the form o + r*i and give r.
27
Rearrange (-n + n + 2*n)*(-1 + 3*n**2 + 1) to p + z*n**2 + v*n**3 + y*n and give y.
0
Rearrange -4*m + 0*m + 2*m + (-5 - 15 + 8)*(-m + 4*m + m) to the form z + k*m and give k.
-50
Express (3 + 2 - 6)*(0 + 0 - g**2 - 3 + g**2 + 3 + (3*g - 4*g + 2*g)*(g + 2 - 2)) + g - 3*g**2 - g in the form b + a*g**2 + r*g and give a.
-4
Express (-10 + 10 - 10*g + (4*g - 3*g + 0*g)*(-3 + 1 + 0))*(1 - 1 - g**2) in the form p*g**2 + m*g**3 + q*g + w and give m.
12
Rearrange (-9 - 3 - 3)*(-7*w + 2*w + 3*w) to the form d + y*w and give y.
30
Express (3 + 4*i - 3)*(8 + 53*i**2 - 52*i**2 - 25) in the form c*i + t + w*i**3 + p*i**2 and give w.
4
Express y + 2 - 2 + (1 - 2 + 2)*(4*y - 2*y + 0*y) + 7*y - 10*y + 6*y in the form h + l*y and give l.
6
Express 3*a - 6 - 2*a**4 - a**3 + 9*a**2 + 3*a**3 + 8 in the form r*a**2 + h*a**4 + g + l*a**3 + b*a and give l.
2
Rearrange -q**4 + 58*q - 2*q**3 + q**3 - 56*q + 7*q**4 + 2 to the form y*q**2 + f*q**3 + u*q + i + t*q**4 and give i.
2
Rearrange -53*m**2 - 2813*m + 2813*m to the form y*m**2 + d*m + p and give y.
-53
Rearrange -16*g**3 - 2*g**4 + 16*g**3 + (-g**2 - 2*g**2 + 2*g**2)*(-g**2 + g**2 - 3*g**2) to s*g**2 + l*g**4 + u*g + h*g**3 + q and give q.
0
Express (1 - 2 + 3)*(f**4 - 1 + 1) + 2*f**4 + f**4 - 4*f**4 - 285 - 15*f**4 + 285 as b*f**4 + w*f + v*f**3 + q + k*f**2 and give b.
-14
Rearrange 2*u + 11 - 16*u**2 - 33*u**2 - 11 to g + s*u + n*u**2 and give s.
2
Express (-2*y - 2*y - 2*y)*(2 + 4*y**2 - 2 + (-3*y**2 + 3*y**2 + 2*y**2)*(0 - 3 + 4)) in the form d + g*y**2 + s*y**3 + l*y and give s.
-36
Express -2 - m**2 + 5*m + m**4 + 3 - 3*m as w + r*m**4 + s*m**2 + g*m + z*m**3 and give r.
1
Rearrange 0*i - 7*i**2 + 1597 - i - 1598 to the form h*i**2 + o + u*i and give h.
-7
Express -11 + z**3 - 4 - 3 + 0 in the form q*z + f + s*z**3 + x*z**2 and give s.
1
Express (97 + 82*d - 97)*(2 - 3 - 1)*(4 - 3 - 2)*(-3 + 2 - 1) in the form p*d + x and give p.
-328
Express (2*l**2 - 3*l**3 - 2*l**2)*(38 + 52 - 9) in the form c*l**2 + o*l**3 + m + v*l and give o.
-243
Rearrange 4 - 1 + 3 - 4 + 75*f**2 to the form n*f**2 + m*f + y and give y.
2
Rearrange (-5*r + 5*r - 2*r)*(1 + r - 1) + r - 2*r**2 - r - 36*r**2 + 4*r**2 - 5*r**2 to v*r**2 + y + b*r and give v.
-41
Rearrange 5*x + x - 37*x to the form i + a*x and give a.
-31
Express (-2 + 1 - 3)*(-1 + 1 + 1 + (2 - 2 + 1)*(-1 + 0 + 4))*(-7*c + 2*c + 3*c) as f + q*c and give q.
32
Express -17*s**2 - 414*s + 414*s - 48*s**2 as l*s + o*s**2 + p and give o.
-65
Express -5*u**3 + u**3 - 2*u**3 + u**3 - 5*u**3 + 3*u**3 + (0 - 2 + 4)*(-9*u**3 + 2*u**3 + 2*u**2 + 10*u**3) in the form h*u**2 + n*u**3 + d + q*u and give n.
-1
Express -7*i + 4*i - 7*i + 24 - 16 as a*i + b and give b.
8
Rearrange (-24*x**2 + 28 - 28)*(2*x**2 + 2*x**2
|
{
"pile_set_name": "DM Mathematics"
}
|
e 0 = v - i*v. Let z(f) = -f**3 + 3*f**2 + 2*f + 7. Let m be z(4). Sort v, -9, m.
-9, m, v
Let d = -20 - -23. Let t be ((-8)/(-2) - d)*1. Let g = t - 4/3. Sort g, -1/2, -2.
-2, -1/2, g
Suppose -4*a = -5*i - 10, -53*a + 48*a + 8 = -4*i. Sort -24, -1, a.
-24, -1, a
Let v = -0.23 + 0.286. Let o = v + 3.944. Put o, -10, 0.4 in descending order.
o, 0.4, -10
Suppose 5*q - q - 48 = 0. Let w be ((-2)/6)/(q/8). Suppose -4*x - 4*z + 0*z + 4 = 0, 4*z = 3*x - 31. Sort w, x, -0.2 in descending order.
x, -0.2, w
Suppose 21*k - 637 = -469. Put k, 0, 1 in increasing order.
0, 1, k
Let h = -224 - -192. Put 3, -4, h in ascending order.
h, -4, 3
Let q be 1 - 2 - -1*2. Let x(h) = 4*h - 1. Let v be x(-1). Let p be (v - 0)*5/5. Put -3, q, p in decreasing order.
q, -3, p
Let q = -0.44 - -19.44. Let v = -46 + 65.2. Let c = q - v. Sort c, 4, 1/14 in decreasing order.
4, 1/14, c
Let v(d) = -d**3 - 2*d**2 + d. Let k be v(-2). Let y = 31 - 43. Let q = y - -12.5. Sort k, -3, q in decreasing order.
q, k, -3
Let h be ((-10)/(-21))/((-5)/1665). Let z = 159 + h. Put z, -3, 5 in decreasing order.
5, z, -3
Suppose 0 = 4*a + 2*a - 12. Suppose a = 3*v - 1, -3*v = -o + 1. Put 3, o, 0.5 in ascending order.
0.5, 3, o
Suppose -c - 2*c = 2*d - 217, -5*d + 4*c = -485. Let k = d + -98. Let h = -1 - -2. Sort h, k, -4 in descending order.
k, h, -4
Let b(t) = -24*t + 4. Let k be b(8). Let p be 2*1*(k/(-64) + -3). Put p, -1, 5, -3 in descending order.
5, p, -1, -3
Let x = 22.016 + -0.016. Let l = x + -24. Put 0.2, 36, l in descending order.
36, 0.2, l
Let n = 379.8 - 380. Sort 0.5, n, 18 in descending order.
18, 0.5, n
Suppose -8*w - 8 = -10*w. Suppose -2 = -3*q + h, 2 = w*q - 3*h + 2*h. Sort 4, -4, q.
-4, q, 4
Let g = -309.6 - -310. Sort -2/13, -0.4, -9/8, g.
-9/8, -0.4, -2/13, g
Let v = -5.1814 + 0.1814. Sort 6, v, -13/3.
v, -13/3, 6
Let o = 7.5 - 11. Let n = -4.5 - o. Put 2/9, n, 0.5 in descending order.
0.5, 2/9, n
Let g = -0.068 - -0.068. Let c = 0.66 - -0.04. Let z = c - 0.2. Put z, 0.3, g in increasing order.
g, 0.3, z
Let w(r) = 5*r**3 + r**2 - r - 1. Let f be w(-1). Let q = 14 + f. Let d be (-9)/q - 12/(-8). Sort 1/2, d, 2/7.
2/7, 1/2, d
Let p = 2 + -2.077. Sort p, -3, -1 in decreasing order.
p, -1, -3
Let x(m) = 5*m + 14. Let z(t) = t**2 - t + 1. Let i(j) = x(j) - z(j). Let s be i(9). Let n be (4/2)/(s/(-21)). Sort -2, n, 1 in decreasing order.
n, 1, -2
Let t = 4.866 - 4.666. Let n = -0.05 - -0.05. Put n, t, 2/49, -4 in descending order.
t, 2/49, n, -4
Let g(f) = -f**3 - 8*f**2 - 12*f + 4. Let t be g(-6). Sort 3, -5, -2, t in increasing order.
-5, -2, 3, t
Suppose o + 11 = 4*o + 2*r, -5*o + r + 14 = 0. Let i be 27/6 - o/2. Sort 5, i, -1 in descending order.
5, i, -1
Let k = -2.35 + 2.1. Let n = k + 0.05. Put 2, n, -2/5 in descending order.
2, n, -2/5
Let t(s) = -15*s - 217. Let f be t(-14). Sort f, -24, -2 in descending order.
-2, f, -24
Suppose m - 4*g = -5 - 4, 0 = g - 3. Sort 9, m, 0 in descending order.
9, m, 0
Let v be 0/(4 - (1 + 1)). Let i be (1/(-1))/(v - 1). Put 0, 3, i in increasing order.
0, i, 3
Suppose k = 2*s - 11, 7*s - 3*s = 4*k + 28. Let j be 3 + 1*76/(-13) - k. Sort j, -2/5, 0.7 in ascending order.
-2/5, j, 0.7
Suppose -1 = 4*r - 9. Let i be 30/(-7 - -4)*r. Let n be (i/30)/((-10)/3). Put 1/4, n, -0.4 in decreasing order.
1/4, n, -0.4
Let m = -3 + 17. Let v = 16.735 + 0.265. Let c = m - v. Sort 4, c, -1/8 in decreasing order.
4, -1/8, c
Let f be (-2)/7*21/9. Let p = -99.2 + 97.2. Sort f, 2/5, p in increasing order.
p, f, 2/5
Let i be ((-3)/2)/((-195)/(-130)). Sort 1, i, -5, -4.
-5, -4, i, 1
Let w be 6 + -5 + (-26)/22. Suppose 3*d = -3*d - 24. Sort w, d, 0.3.
d, w, 0.3
Let q(z) = -z**2 - 3*z + 3. Let h be q(-3). Let y(n) = -n + 1. Let k be y(5). Sort k, 0, h in descending order.
h, 0, k
Let r be (2/4)/1 + (-147)/(-42). Sort r, 2, -6.
-6, 2, r
Let d = 302 - 301.5. Let i = 0.4 + -0.7. Let y = i + 0.1. Sort y, d, 5 in descending order.
5, d, y
Let q be ((-48)/(-8))/(1*-2). Let h(s) = -s**3 - s**2 - 4*s - 3. Let d be h(q). Let k = d - 26. Put 5, 2, k in ascending order.
k, 2, 5
Let r(n) = 2*n + 13. Let s be r(-5). Suppose -2*f - 1 = -i, -2*f + s = -3*i + f. Sort -2, i, 4 in decreasing order.
4, -2, i
Let x be -2 - (-22 - -2) - 0. Suppose -81*b + z - 17 = -78*b, 5*z - 5 = -b. Sort x, b, -1.
b, -1, x
Let d = -916 + 915.7. Suppose y - 3*y + 10 = 0. Let f = 0 + y. Put d, 0, f in decreasing order.
f, 0, d
Let g = -345.7 - -346. Let f(x) = x**3 - 4*x**2 - 6*x + 2. Let h be f(5). Sort h, -5, g.
-5, h, g
Let l = -5.477 - -7.51. Let s = -0.033 + l. Let h = 8 - 3. Put -4, s, h in descending order.
h, s, -4
Let i = -60 + 782/13. Put i, 3, -2, -1/798 in increasing order.
-2, -1/798, i, 3
Suppose -2*d = 3*r - 1 - 5, -3*d - 6 = -3*r. Sort 33, r, -1, 1.
-1, 1, r, 33
Let i = 13.9 + -13.8. Let t = -794/5 - -158. Sort t, 8, i in increasing order.
t, i, 8
Let q = 843 + -843. Let u(a) = 2*a**2 + 3*a + 2. Let h be u(-3). Let j = h + -15. Put j, -3, q in increasing order.
j, -3, q
Let g be (6 - 7)/(1/(-1)). Let r(m) = 7*m**3 - 2*m**2 + 3*m - 2. Let y be r(g). Put -5, y, 1 in descending order.
y, 1, -5
Let i(v) = -v + 27. Let z be i(26). Put -1, 3, z in decreasing order.
3, z, -1
Let a = 2 + -2.01. Let j = 484 - 484.3. Sort j, 5, a, -1 in descending order.
5, a, j, -1
Suppose -2*o + z - 2 = 3*z, 2 = -3*o - 2*z. Let k be 1 + o - (0 - -4). Put 0, k, -2, 3 in decreasing order.
3, 0, -2, k
Let w = -14 + 16. Suppose h = 6*h - w*h. Put -12, h, 2, 3 in descending order.
3, 2, h, -12
Let k(g) = 11*g - 248. Let b be k(23). Sort b, -4, -3, 3 in descending order.
b, 3, -3, -4
Suppose 0 = -14*y + 170 - 198. Sort -1, 2, -3, y in increasing order.
-3, y, -1, 2
Suppose -1977*i = -1971*i + 42. Sort -4, i, 2 in descending order.
2, -4, i
Suppose t = 3*g + 82, 6*t + 182 = 8*t + 3*g. Sort t, 1, 3 in descending order.
t, 3, 1
Let y = -94.6 - -95. Put 2/11, y, -1.6, -0.06 in decreasing order.
y, 2/11, -0.06, -1.6
Let d = 0.153 - 3.133. Let g = -0.02 + d. Let h = -37/24 + 5/3. Sort g, 5, h in increasing order.
g, h, 5
Let c = -24 + 30. Let a = c + -6.4. Sort -2, 0, a in increasing order.
-2, a, 0
Suppose 4*s + 2*t = 16, 2*t + 29 - 33 = 2*s. Sort -0.2, s, 0.04, 4 in decreasing order.
4, s, 0.04, -0.2
Let a = 0.11213 + 0.08787. Let y = 2 - 3. Put -0.5, 0.3, a, y in descending order.
0.3, a, -0.5, y
Let j(z) = 36*z - 32. Let m be j(1). Sort -2, -4, m, 15 in decreasing order.
15, m, -2, -4
Let o = -36 - -30. Let c(k) = k**2 + 5*k - 6. Let l(t) = -3*t**2 - 15*t + 17. Let x(f) = 11*c(f) + 4*l(f). Let p be x(o). Put -2/15, 0.3, p in descending order.
0.3, -2/15, p
Let b = -43 - -13. Let m = 30.4 + b. Sort m, -5, -2/7.
-5, -2/7, m
Let d be (-10)/10 - (-1 + 1 + 3). Put -65, -5, d in descending order.
d, -5, -65
Let h = -101 - -100.8. Put h, -179, 0.3, -1 in decreasing order.
0.3, h, -1, -179
Let z = 6 - 5. Let a be (-6)/(-3) + z + -14. Let o = -8 - a. Put -1, 4, o in increasing order.
-1, o, 4
Let o(a) = -a**3 - 19*a**2 - 20*a - 51. Let j be o(-18). Put -2, j, 5 in descending order.
5, -2, j
Let t = -30.5 - -30. Let h = 0.3 + t. Let b = h - -0.3. Put -3/4, 1, b in descending order.
1, b, -3/4
Let y(b) = -2*b**2 - 16*b - 25. Let z be y(-5). Sort -18, 0, z, 1 in decreasing order.
z, 1, 0, -18
Let q = -765/2 + 452. Let b = q - 69. Sort b, -5, -2/7, 1 in descending order.
1, b, -2/7, -5
Let x = 51.1062 + -0.1062. Sort -5, x, -4 in descending order.
x, -4, -5
Let r be -2 + -11 + (6 - 3). Put r, -3, 3 in ascending order.
r, -3, 3
Let r(k) = 2*k + 1. Let n be r(1). Let m = -16 - -19. Suppose 6*z + 12 = m*z. Put 0, n, z in ascending order.
z, 0, n
Let a = 9 - 1. Let u = -49/45 - -11/9. Suppose 4*m = 4*j - 16, m - 3*j + 6*j = 0. Sort a, u, m.
m, u, a
Suppose 3*q - 5*q - 94 = -5*d, 4*q + 5*d = -248. Let n be 2/8 + 0 - q/76. Sort 2, n, -11 in increasing order.
-11, n, 2
Let g(r) = -16*r + 47. Let k be g(3). Let y = 43/138 - -12/23. Sort -1/3, k, y, 3/7 in increasing order.
k, -1/3, 3/7, y
Let w = -300 - -299. Let v = -37.5 - -37. Sort 1, v, 3, w in increasing order.
w, v, 1, 3
Let g(y) = y**2 - 30*y + 191. Let r be g(21). Put -12, r, 0 in ascending order.
-12, 0, r
Suppose 5*u + 525 = -0*u. Let i = u - -103. Let n be (2*2)/2*2. Sort i, 5, n in ascending order.
i, n, 5
Let y = -13 + 9. Suppose 10 = -3*l + 8*l. Let o = 203 + -206
|
{
"pile_set_name": "DM Mathematics"
}
|
. Give prob of picking 1 s and 1 f.
1/36
Three letters picked without replacement from bbbtbtbytytttbtb. What is prob of picking 1 y and 2 b?
3/40
Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wwgcwbxccb.
1/15
Two letters picked without replacement from yyyfyyryylllluy. What is prob of picking 1 r and 1 y?
8/105
Four letters picked without replacement from {n: 1, j: 9, e: 2, d: 4}. What is prob of picking 2 n and 2 e?
0
Two letters picked without replacement from ffffffffffffvff. Give prob of picking 2 f.
13/15
Two letters picked without replacement from nnn. Give prob of picking 2 n.
1
Three letters picked without replacement from {j: 4, z: 1, x: 3, h: 4, k: 6, w: 2}. Give prob of picking 3 h.
1/285
Four letters picked without replacement from {r: 4, p: 7}. What is prob of picking 4 p?
7/66
Four letters picked without replacement from zcrzrcczc. What is prob of picking 1 r and 3 z?
1/63
Two letters picked without replacement from zgzwwzzwzgzzg. What is prob of picking 1 z and 1 w?
7/26
Three letters picked without replacement from {c: 19, t: 1}. What is prob of picking 1 t and 2 c?
3/20
What is prob of picking 2 k when two letters picked without replacement from {s: 2, d: 3, n: 2, k: 4, b: 2, m: 2}?
2/35
Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {c: 2, k: 4}.
8/15
Calculate prob of picking 1 w, 1 j, and 1 p when three letters picked without replacement from {j: 3, g: 4, p: 1, z: 5, b: 3, w: 1}.
3/680
Four letters picked without replacement from iiiiii. Give prob of picking 4 i.
1
Three letters picked without replacement from llmmllnnnnnlnnnnlnln. Give prob of picking 3 n.
11/76
Calculate prob of picking 1 c and 1 y when two letters picked without replacement from aaccyyymaaayaa.
8/91
Three letters picked without replacement from {k: 1, d: 4, b: 2, i: 2, a: 1}. What is prob of picking 1 d, 1 a, and 1 k?
1/30
Three letters picked without replacement from wxwxxxxxxxxxwxwwwxw. Give prob of picking 2 w and 1 x.
84/323
Calculate prob of picking 2 s, 1 a, and 1 o when four letters picked without replacement from ogogaguoooassoyasgoa.
28/1615
Calculate prob of picking 3 w when three letters picked without replacement from ywwywwwwywwwywwwww.
91/204
Two letters picked without replacement from {r: 3, s: 2, i: 3, m: 1, c: 1, e: 1}. Give prob of picking 1 c and 1 m.
1/55
What is prob of picking 1 l and 1 a when two letters picked without replacement from oawalawlwaawaaaaaaw?
22/171
What is prob of picking 1 e and 2 r when three letters picked without replacement from {a: 4, l: 6, r: 4, q: 1, e: 5}?
1/38
Three letters picked without replacement from {m: 1, z: 1, j: 1, u: 1, l: 1}. What is prob of picking 1 j, 1 u, and 1 m?
1/10
What is prob of picking 1 v and 1 n when two letters picked without replacement from gvkvgkxxvvvsgkn?
1/21
Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 7, f: 2}.
7/18
Calculate prob of picking 3 j and 1 h when four letters picked without replacement from eejhjehzeeeeegejg.
1/1190
Two letters picked without replacement from {n: 4, g: 1, o: 4, q: 1}. Give prob of picking 1 q and 1 g.
1/45
Two letters picked without replacement from {a: 1, h: 1, f: 1, l: 2, y: 1, i: 1}. What is prob of picking 1 a and 1 l?
2/21
Two letters picked without replacement from {g: 5, m: 15}. Give prob of picking 1 g and 1 m.
15/38
Calculate prob of picking 2 t when two letters picked without replacement from {u: 3, t: 2}.
1/10
Calculate prob of picking 2 n when two letters picked without replacement from {z: 2, n: 11}.
55/78
Calculate prob of picking 3 b when three letters picked without replacement from alblbhabaaablabaaa.
5/408
Three letters picked without replacement from {r: 2, m: 5}. Give prob of picking 2 r and 1 m.
1/7
Two letters picked without replacement from {n: 1, i: 1, o: 1, g: 2, l: 1, z: 2}. What is prob of picking 1 n and 1 z?
1/14
Calculate prob of picking 1 e and 3 a when four letters picked without replacement from eeeterreeradeerdee.
0
Four letters picked without replacement from amacgamag. What is prob of picking 3 a and 1 c?
2/63
Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {u: 12, o: 6}.
4/51
Three letters picked without replacement from {v: 11, g: 2}. What is prob of picking 1 v and 2 g?
1/26
Calculate prob of picking 2 j when two letters picked without replacement from {g: 16, j: 4}.
3/95
Two letters picked without replacement from {a: 3, m: 1, r: 3, t: 13}. What is prob of picking 1 m and 1 r?
3/190
Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {z: 1, p: 1, h: 2}.
1/6
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {e: 1, g: 1, j: 2, n: 1, l: 1, o: 1}.
1/21
What is prob of picking 2 f when two letters picked without replacement from fyfqylqrffrlzrzffff?
28/171
Two letters picked without replacement from {i: 6, x: 1, m: 4, c: 3}. Give prob of picking 1 x and 1 i.
6/91
Three letters picked without replacement from xvvttxvxhtv. What is prob of picking 1 t, 1 v, and 1 x?
12/55
What is prob of picking 1 p, 1 t, and 2 r when four letters picked without replacement from xxtyyxxxpytrtryy?
3/1820
Two letters picked without replacement from jjzzjj. What is prob of picking 2 j?
2/5
Three letters picked without replacement from {q: 3, s: 1, d: 1, h: 3, p: 2, i: 3}. Give prob of picking 1 i, 1 d, and 1 h.
9/286
Calculate prob of picking 1 n and 2 h when three letters picked without replacement from gghhhgghhxnhhgghhx.
3/68
Calculate prob of picking 1 x and 3 k when four letters picked without replacement from xkxekxxxexexkkxek.
4/119
Three letters picked without replacement from {v: 8, u: 3, p: 5, a: 1, f: 2}. Give prob of picking 2 f and 1 u.
1/323
Calculate prob of picking 1 d and 1 b when two letters picked without replacement from lylbdylbydly.
2/33
Two letters picked without replacement from {j: 6, r: 2}. Give prob of picking 2 r.
1/28
Three letters picked without replacement from kikinnnknnkiii. What is prob of picking 1 n and 2 i?
25/182
What is prob of picking 1 o and 2 e when three letters picked without replacement from {c: 1, h: 4, y: 3, o: 1, n: 3, e: 5}?
1/68
Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {p: 2, c: 1, k: 1, j: 12, n: 2}.
22/153
Calculate prob of picking 1 f and 2 k when three letters picked without replacement from {e: 2, k: 2, t: 3, f: 6}.
3/143
What is prob of picking 1 b, 2 e, and 1 p when four letters picked without replacement from {b: 10, e: 2, p: 2}?
20/1001
Four letters picked without replacement from babbbababa. What is prob of picking 2 a and 2 b?
3/7
Four letters picked without replacement from uurfffrfufrfu. Give prob of picking 1 r and 3 f.
12/143
Two letters picked without replacement from aaaaggyppggagagaaya. Give prob of picking 1 p and 1 y.
4/171
What is prob of picking 1 b and 2 n when three letters picked without replacement from bmnmmnnnnnmmnmbvm?
21/340
Four letters picked without replacement from {u: 4, s: 2, w: 2}. What is prob of picking 2 u, 1 s, and 1 w?
12/35
Two letters picked without replacement from {t: 2, u: 1, v: 1, n: 4, b: 1}. Give prob of picking 1 t and 1 n.
2/9
What is prob of picking 1 n and 1 w when two letters picked without replacement from nweaseee?
1/28
What is prob of picking 1 h and 1 b when two letters picked without replacement from hmbhhhmbbmmbmbmhhmh?
35/171
What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 6, m: 2, x: 7}?
2/5
What is prob of picking 1 o and 2 r when three letters picked without replacement from {o: 4, h: 3, v: 4, r: 5}?
1/14
Four letters picked without replacement from uumrurumymmruary. What is prob of picking 2 m and 2 y?
3/910
Two letters picked without replacement from xxxbxxxbxbxx. What is prob of picking 1 b and 1 x?
9/22
Three letters picked without replacement from {s: 5, w: 5, k: 1}. What is prob of picking 1 k and 2 w?
2/33
Three letters picked without replacement from {u: 6, y: 3, a: 3, e: 3}. What is prob of picking 2 e and 1 u?
18/455
What is prob of picking 1 o and 1 r when two letters picked without re
|
{
"pile_set_name": "DM Mathematics"
}
|
of 2307?
False
Is 4188 a factor of 728188500?
True
Is 48308892 a multiple of 789?
True
Is 28 a factor of 43479296?
True
Is 197 a factor of 2016442947?
True
Is 2914 a factor of 1457000?
True
Does 40 divide 845782080?
True
Is 665195535 a multiple of 8?
False
Does 296 divide 1131137475?
False
Does 245 divide 4369380?
False
Does 11 divide 56658415?
True
Is 4514436 a multiple of 267?
True
Does 113 divide 98478326?
False
Is 1301430636 a multiple of 2252?
False
Is 56214620 a multiple of 2321?
True
Is 139934 a multiple of 31?
True
Is 9 a factor of 16655364?
True
Is 82365268 a multiple of 12?
False
Is 1479280480 a multiple of 4242?
False
Does 2320 divide 335806080?
True
Is 5286878978 a multiple of 133?
False
Is 3 a factor of 10490385?
True
Is 152906870 a multiple of 10?
True
Does 61 divide 32163849?
False
Is 25 a factor of 109657925?
True
Does 2628 divide 65167825?
False
Does 11 divide 18900717?
True
Is 117 a factor of 3068594919?
True
Is 157264410 a multiple of 670?
True
Is 125 a factor of 255530346?
False
Does 610 divide 25734070?
True
Is 396906786 a multiple of 34?
True
Does 177 divide 6673431?
True
Does 50 divide 917264213?
False
Is 19 a factor of 77877371?
True
Is 814 a factor of 380345570?
True
Is 1705336823 a multiple of 1676?
False
Does 323 divide 18961519?
False
Does 99 divide 48597244?
False
Does 10 divide 18244160?
True
Does 2830 divide 1109793133?
False
Does 29 divide 7478121?
False
Is 1144978565 a multiple of 730?
False
Does 38 divide 66770066?
True
Is 22179484 a multiple of 604?
True
Is 184135120 a multiple of 130?
True
Does 45 divide 115893945?
True
Is 262 a factor of 8866604?
True
Is 100997256 a multiple of 186?
True
Is 40 a factor of 590293640?
True
Is 278 a factor of 334618230?
False
Is 49564663 a multiple of 4866?
False
Is 28 a factor of 8755589?
False
Is 5 a factor of 56217520?
True
Does 884 divide 462493396?
False
Is 53092942 a multiple of 1162?
True
Does 221 divide 86597082?
True
Is 112893326 a multiple of 14?
True
Is 56 a factor of 46410896?
True
Is 20668200 a multiple of 570?
True
Does 3869 divide 67575954?
True
Is 326 a factor of 1254064624?
True
Does 392 divide 109453883?
False
Is 3482 a factor of 100372038?
False
Does 720 divide 1060166061?
False
Does 38 divide 19125993?
False
Does 671 divide 29188103?
False
Is 82 a factor of 2506518852?
False
Does 2 divide 5390304?
True
Is 5976786 a multiple of 211?
True
Is 317 a factor of 64833647?
False
Does 67 divide 23663954?
False
Is 20 a factor of 16235151?
False
Does 571 divide 782343659?
True
Is 287 a factor of 994350532?
True
Does 1003 divide 142881362?
True
Is 4192475937 a multiple of 13?
True
Is 16276761 a multiple of 27?
True
Does 9 divide 66009456?
True
Is 5577903 a multiple of 14?
False
Is 100084318 a multiple of 56?
False
Does 113 divide 5895436?
True
Does 272 divide 200257824?
True
Is 15 a factor of 4918780?
False
Is 224380051 a multiple of 15?
False
Is 164 a factor of 3836829?
False
Is 52419378 a multiple of 121?
True
Is 17 a factor of 715122909?
False
Is 326 a factor of 144861995?
False
Is 22454643 a multiple of 129?
True
Is 2 a factor of 36660549?
False
Is 45556680 a multiple of 8268?
True
Is 34748000 a multiple of 30?
False
Is 13633570 a multiple of 1899?
False
Does 438 divide 605383014?
True
Is 77 a factor of 1048509?
True
Is 9 a factor of 13255533?
True
Is 1053 a factor of 19950138?
True
Does 46 divide 486819164?
False
Is 18135306 a multiple of 23?
False
Is 39993300 a multiple of 10?
True
Is 22123932 a multiple of 12?
True
Is 18 a factor of 16851312?
True
Does 1039 divide 333976160?
True
Is 968622671 a multiple of 27?
False
Is 2515 a factor of 109020220?
True
Is 25 a factor of 273278148?
False
Is 14 a factor of 28955540?
False
Is 1148606967 a multiple of 843?
False
Does 203 divide 14269073?
True
Does 13 divide 111723313?
True
Is 172 a factor of 328282812?
True
Is 6288821539 a multiple of 11?
True
Does 22 divide 29060790?
True
Is 2858239744 a multiple of 131?
True
Is 811516315 a multiple of 5095?
True
Is 26 a factor of 406398918?
False
Does 4345 divide 1217364720?
True
Does 270 divide 11037600?
True
Does 383 divide 74550567?
True
Is 27 a factor of 1421481139?
False
Does 67 divide 36377112?
False
Is 13 a factor of 1316552451?
False
Is 2546 a factor of 81683318?
True
Is 11321910 a multiple of 171?
True
Does 787 divide 11182483?
True
Is 35827680 a multiple of 96?
True
Is 108997435 a multiple of 4361?
False
Does 791 divide 198900089?
False
Does 17 divide 371474735?
True
Does 7520 divide 732703680?
True
Does 268 divide 71565112?
True
Does 26 divide 147135586?
True
Is 16504970 a multiple of 2?
True
Is 40 a factor of 403401612?
False
Is 237 a factor of 147410862?
False
Is 3781812935 a multiple of 144?
False
Does 32 divide 42113412?
False
Does 2122 divide 15371768?
True
Is 3391 a factor of 99382930?
False
Is 90731200 a multiple of 280?
True
Is 214 a factor of 13682689?
False
Is 53 a factor of 6128902?
False
Does 43 divide 1606437?
True
Is 344287241 a multiple of 191?
True
Is 517060620 a multiple of 1432?
False
Does 50 divide 3456790700?
True
Is 338 a factor of 3055756262?
True
Is 2456 a factor of 120854987?
False
Is 644 a factor of 41068524?
True
Does 2239 divide 208720154?
False
Does 112 divide 128580974?
False
Does 11 divide 57254153?
True
Is 125 a factor of 38742375?
True
Is 10801560 a multiple of 98?
True
Is 3674 a factor of 1748768890?
True
Does 185 divide 953643920?
True
Is 1619076955 a multiple of 571?
False
Does 18 divide 234583023?
False
Is 467 a factor of 996737932?
False
Is 54 a factor of 16157448?
True
Is 2228573025 a multiple of 225?
True
Is 29 a factor of 121175669?
False
Does 52 divide 107495492?
True
Does 465 divide 1796815?
False
Is 1879 a factor of 42863748?
True
Is 4912612404 a multiple of 104?
False
Is 170 a factor of 91226384?
False
Is 73 a factor of 394012161?
False
Is 112 a factor of 1257736480?
True
Does 349 divide 16428465?
False
Is 1155302841 a multiple of 539?
True
Is 1533 a factor of 185129745?
False
Does 145 divide 610647384?
False
Does 223 divide 35641198?
True
Is 307 a factor of 110763822?
False
Does 17 divide 15839430?
False
Is 26 a factor of 5773113?
False
Is 278 a factor of 14709814?
True
Is 18 a factor of 114200915?
False
Does 13 divide 25774125?
True
Is 1015624914 a multiple of 3162?
True
Is 13 a factor of 562499643?
False
Is 110215057 a multiple of 1564?
False
Is 1624966222 a multiple of 38?
True
Is 57747690 a multiple of 15?
True
Is 1453 a factor of 934411223?
True
Does 44 divide 31855780?
True
Is 28905100 a multiple of 433?
False
Is 55478342 a multiple of 5?
False
Is 10 a factor of 209022421?
False
Is 37335330 a multiple of 5?
True
Is 626 a factor of 212734832?
True
Is 121613376 a multiple of 427?
False
Does 18 divide 199401426?
True
Is 29 a factor of 59680869?
True
Is 370 a factor of 33860180?
True
Is 953404286 a multiple of 1747?
True
Is 5 a factor of 53849277?
False
Is 112 a factor of 5055456?
True
Is 4 a factor of 3806582?
False
Does 2 divide 101777989?
False
Is 152163264 a multiple of 2112?
True
Does 3726 divide 722117430?
True
Is 558140333 a multiple of 19?
True
Is 172618752 a multiple of 2287?
False
Is 22392471 a multiple of 195?
False
Does 14 divide 2918033052?
False
Does 4 divide 2551674311?
False
Is 5677 a factor of 437918103?
True
Does 28 divide 2265701743?
False
Is 15 a factor of 35615877?
False
Is 3 a factor of 1504077?
True
Is 61 a factor of 1653610765?
False
Is 12 a factor of 220098954?
False
Is 21470972 even?
True
Does 4940 divide 486614700?
True
Is 52 a factor of 450380060?
True
Is 20118150 a multiple of 9?
True
Is 5067 a factor of 973624050?
True
Is 51 a factor of 3428827?
False
Is 13 a factor of 46682735?
False
Is 954859702 a multiple of 153?
False
Is 13726360 a multiple of 76?
True
Is 54887404 a multiple of 22?
True
Is 132001358 a multiple of 11?
False
Is 208 a factor of 20116891?
False
Does 127 divide 4911058?
False
Does 310 divide 10922921?
False
Is 1110 a factor of 1343850802?
False
Does 1372 divide 30419984?
True
Is 138 a factor of 33165518?
False
Does 95 divide 288377924?
False
Is 90 a factor of 72317520?
True
Is 16975236 a multiple of 556?
True
Does 1489 divide 78951247?
True
Is 678 a factor of 10069606?
False
Does 136 divide 77390392?
True
Is 354421595 a multiple of 54?
False
Does 446 divide 756862?
True
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when 1079 is divided by 86?
47
What is the remainder when 23 is divided by 5?
3
Calculate the remainder when 1364 is divided by 199.
170
Calculate the remainder when 171 is divided by 83.
5
What is the remainder when 1814 is divided by 55?
54
What is the remainder when 350 is divided by 22?
20
Calculate the remainder when 623 is divided by 19.
15
What is the remainder when 759 is divided by 267?
225
What is the remainder when 18668 is divided by 49?
48
Calculate the remainder when 124 is divided by 61.
2
What is the remainder when 244 is divided by 115?
14
Calculate the remainder when 51 is divided by 41.
10
What is the remainder when 488 is divided by 238?
12
Calculate the remainder when 1429 is divided by 119.
1
Calculate the remainder when 22 is divided by 22.
0
What is the remainder when 151 is divided by 18?
7
What is the remainder when 965 is divided by 16?
5
What is the remainder when 2239 is divided by 56?
55
Calculate the remainder when 303 is divided by 17.
14
What is the remainder when 106 is divided by 45?
16
Calculate the remainder when 127 is divided by 3.
1
Calculate the remainder when 980 is divided by 26.
18
Calculate the remainder when 417 is divided by 47.
41
Calculate the remainder when 13155 is divided by 92.
91
Calculate the remainder when 503 is divided by 56.
55
What is the remainder when 29 is divided by 10?
9
Calculate the remainder when 524 is divided by 45.
29
Calculate the remainder when 2898 is divided by 27.
9
Calculate the remainder when 686 is divided by 176.
158
What is the remainder when 3 is divided by 1?
0
Calculate the remainder when 3267 is divided by 26.
17
Calculate the remainder when 215 is divided by 55.
50
What is the remainder when 158 is divided by 92?
66
Calculate the remainder when 164 is divided by 10.
4
Calculate the remainder when 671 is divided by 163.
19
Calculate the remainder when 20 is divided by 12.
8
What is the remainder when 14533 is divided by 85?
83
What is the remainder when 101 is divided by 41?
19
Calculate the remainder when 21581 is divided by 198.
197
What is the remainder when 100 is divided by 7?
2
What is the remainder when 208 is divided by 36?
28
What is the remainder when 30 is divided by 29?
1
What is the remainder when 537 is divided by 43?
21
What is the remainder when 234 is divided by 59?
57
What is the remainder when 264 is divided by 124?
16
Calculate the remainder when 3118 is divided by 1026.
40
What is the remainder when 108399 is divided by 406?
403
What is the remainder when 535 is divided by 79?
61
Calculate the remainder when 15742 is divided by 4.
2
What is the remainder when 152 is divided by 55?
42
What is the remainder when 151 is divided by 30?
1
What is the remainder when 737 is divided by 15?
2
What is the remainder when 2603 is divided by 22?
7
What is the remainder when 4103 is divided by 171?
170
What is the remainder when 382 is divided by 11?
8
Calculate the remainder when 195 is divided by 18.
15
What is the remainder when 1476 is divided by 10?
6
Calculate the remainder when 61 is divided by 14.
5
Calculate the remainder when 798 is divided by 100.
98
Calculate the remainder when 55 is divided by 22.
11
Calculate the remainder when 417 is divided by 106.
99
What is the remainder when 6730 is divided by 34?
32
What is the remainder when 12609 is divided by 97?
96
What is the remainder when 421 is divided by 47?
45
What is the remainder when 1278 is divided by 61?
58
What is the remainder when 2537 is divided by 845?
2
What is the remainder when 459 is divided by 19?
3
Calculate the remainder when 1138 is divided by 31.
22
Calculate the remainder when 103 is divided by 27.
22
Calculate the remainder when 76 is divided by 32.
12
Calculate the remainder when 215 is divided by 10.
5
Calculate the remainder when 13 is divided by 7.
6
What is the remainder when 142 is divided by 24?
22
Calculate the remainder when 3379 is divided by 169.
168
What is the remainder when 1197 is divided by 50?
47
Calculate the remainder when 71 is divided by 41.
30
What is the remainder when 133 is divided by 59?
15
Calculate the remainder when 325 is divided by 320.
5
What is the remainder when 47 is divided by 33?
14
Calculate the remainder when 17851 is divided by 113.
110
Calculate the remainder when 220 is divided by 17.
16
What is the remainder when 296 is divided by 50?
46
Calculate the remainder when 287 is divided by 24.
23
Calculate the remainder when 3375 is divided by 7.
1
Calculate the remainder when 20 is divided by 14.
6
What is the remainder when 652 is divided by 315?
22
Calculate the remainder when 1139 is divided by 52.
47
Calculate the remainder when 275 is divided by 36.
23
What is the remainder when 6310 is divided by 12?
10
Calculate the remainder when 874 is divided by 88.
82
What is the remainder when 572 is divided by 64?
60
What is the remainder when 16684 is divided by 18?
16
What is the remainder when 101 is divided by 34?
33
What is the remainder when 2922 is divided by 43?
41
What is the remainder when 79 is divided by 17?
11
What is the remainder when 65 is divided by 51?
14
What is the remainder when 1307 is divided by 117?
20
Calculate the remainder when 1801 is divided by 19.
15
What is the remainder when 161 is divided by 15?
11
Calculate the remainder when 57 is divided by 16.
9
Calculate the remainder when 171 is divided by 35.
31
Calculate the remainder when 1596 is divided by 41.
38
What is the remainder when 398 is divided by 99?
2
What is the remainder when 41 is divided by 16?
9
What is the remainder when 900 is divided by 41?
39
What is the remainder when 1599 is divided by 229?
225
What is the remainder when 58 is divided by 41?
17
Calculate the remainder when 4908 is divided by 45.
3
Calculate the remainder when 875 is divided by 88.
83
What is the remainder when 309 is divided by 62?
61
Calculate the remainder when 122 is divided by 42.
38
Calculate the remainder when 358 is divided by 19.
16
What is the remainder when 303 is divided by 22?
17
What is the remainder when 367 is divided by 64?
47
Calculate the remainder when 67 is divided by 27.
13
Calculate the remainder when 333 is divided by 21.
18
Calculate the remainder when 467 is divided by 170.
127
What is the remainder when 500 is divided by 42?
38
Calculate the remainder when 1553 is divided by 771.
11
Calculate the remainder when 514 is divided by 40.
34
Calculate the remainder when 1281 is divided by 638.
5
What is the remainder when 6839 is divided by 10?
9
What is the remainder when 87 is divided by 31?
25
Calculate the remainder when 106 is divided by 46.
14
Calculate the remainder when 168 is divided by 9.
6
What is the remainder when 121 is divided by 60?
1
Calculate the remainder when 296 is divided by 11.
10
Calculate the remainder when 3498 is divided by 577.
36
Calculate the remainder when 148 is divided by 8.
4
Calculate the remainder when 789 is divided by 39.
9
Calculate the remainder when 740 is divided by 75.
65
Calculate the remainder when 789 is divided by 134.
119
What is the remainder when 1503 is divided by 26?
21
What is the remainder when 179 is divided by 40?
19
Calculate the remainder when 222 is divided by 78.
66
Calculate the remainder when 601 is divided by 149.
5
What is the remainder when 296 is divided by 31?
17
What is the remainder when 164 is divided by 34?
28
What is the remainder when 172 is divided by 7?
4
What is the remainder when 1514 is divided by 38?
32
Calculate the remainder when 3345 is divided by 134.
129
Calculate the remainder when 131 is divided by 28.
19
Calculate the remainder when 140 is divided by 49.
42
What is the remainder when 279 is divided by 18?
9
Calculate the remainder when 79 is divided by 50.
29
What is the remainder when 151 is divided by 22?
19
What is the remainder when 677 is divided by 18?
11
Calculate the remainder when 411 is divided by 59.
57
What is the remainder when 2539 is divided by 423?
1
Calculate the remainder when 191 is divided by 39.
35
Calculate the remainder when 3145 is divided by 123.
70
Calculate the remainder when 137 is divided by 28.
25
What is the remainder when 1355 is divided by 64?
11
Calculate the remainder when 992 is divided by 73.
43
Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the remainder when 42259 is divided by 14086.
1
Calculate the remainder when 8190 is divided by 1016.
62
Calculate the remainder when 1063086 is divided by 10.
6
Calculate the remainder when 139401 is divided by 27879.
6
Calculate the remainder when 6702 is divided by 2888.
926
Calculate the remainder when 40152 is divided by 17.
15
Calculate the remainder when 10291 is divided by 22.
17
What is the remainder when 33413 is divided by 619?
606
Calculate the remainder when 16124 is divided by 4024.
28
What is the remainder when 107187 is divided by 90?
87
Calculate the remainder when 70677 is divided by 380.
377
What is the remainder when 12164 is divided by 1369?
1212
Calculate the remainder when 55482 is divided by 235.
22
What is the remainder when 48459 is divided by 12061?
215
Calculate the remainder when 556 is divided by 14.
10
What is the remainder when 41327 is divided by 13731?
134
Calculate the remainder when 2608 is divided by 237.
1
What is the remainder when 37810 is divided by 39?
19
What is the remainder when 1318524 is divided by 439506?
6
What is the remainder when 407577 is divided by 97?
80
Calculate the remainder when 136653 is divided by 936.
933
Calculate the remainder when 346 is divided by 60.
46
What is the remainder when 7838 is divided by 1206?
602
What is the remainder when 7231 is divided by 7210?
21
Calculate the remainder when 253 is divided by 82.
7
What is the remainder when 9279 is divided by 111?
66
Calculate the remainder when 616016 is divided by 247.
245
Calculate the remainder when 6742 is divided by 74.
8
Calculate the remainder when 16480 is divided by 48.
16
What is the remainder when 1082700 is divided by 157?
28
What is the remainder when 11655 is divided by 49?
42
What is the remainder when 2698 is divided by 1272?
154
What is the remainder when 6611 is divided by 45?
41
What is the remainder when 44401 is divided by 21?
7
What is the remainder when 154372 is divided by 95?
92
Calculate the remainder when 39459 is divided by 1793.
13
What is the remainder when 117465 is divided by 172?
161
What is the remainder when 9765 is divided by 4?
1
Calculate the remainder when 163 is divided by 12.
7
Calculate the remainder when 1573 is divided by 113.
104
What is the remainder when 13209 is divided by 352?
185
What is the remainder when 3444248 is divided by 250?
248
What is the remainder when 31681 is divided by 31670?
11
What is the remainder when 7347 is divided by 210?
207
What is the remainder when 1764 is divided by 450?
414
What is the remainder when 75424 is divided by 75385?
39
What is the remainder when 10158 is divided by 922?
16
Calculate the remainder when 424 is divided by 94.
48
What is the remainder when 364 is divided by 253?
111
Calculate the remainder when 81086 is divided by 1126.
14
Calculate the remainder when 722 is divided by 717.
5
Calculate the remainder when 2301 is divided by 942.
417
Calculate the remainder when 20412 is divided by 888.
876
Calculate the remainder when 68247 is divided by 5.
2
What is the remainder when 648 is divided by 285?
78
What is the remainder when 503 is divided by 66?
41
Calculate the remainder when 17132 is divided by 41.
35
What is the remainder when 452277 is divided by 557?
550
Calculate the remainder when 2102182 is divided by 1204.
1202
What is the remainder when 553135 is divided by 630?
625
Calculate the remainder when 286954 is divided by 36.
34
What is the remainder when 1103234 is divided by 33?
11
What is the remainder when 17052 is divided by 13?
9
What is the remainder when 1152908 is divided by 55?
53
What is the remainder when 51865 is divided by 387?
7
Calculate the remainder when 12739 is divided by 710.
669
What is the remainder when 358 is divided by 31?
17
What is the remainder when 12140 is divided by 13?
11
Calculate the remainder when 876 is divided by 307.
262
Calculate the remainder when 123140 is divided by 168.
164
Calculate the remainder when 223686 is divided by 44736.
6
Calculate the remainder when 2066 is divided by 513.
14
Calculate the remainder when 47756 is divided by 120.
116
Calculate the remainder when 23497 is divided by 373.
371
What is the remainder when 75207 is divided by 82?
13
What is the remainder when 371969 is divided by 1141?
3
What is the remainder when 42388 is divided by 54?
52
What is the remainder when 10781 is divided by 19?
8
Calculate the remainder when 3664 is divided by 523.
3
What is the remainder when 831757 is divided by 135?
22
Calculate the remainder when 5194 is divided by 43.
34
What is the remainder when 1632 is divided by 246?
156
Calculate the remainder when 24369 is divided by 9.
6
What is the remainder when 107508 is divided by 71?
14
What is the remainder when 31250 is divided by 10412?
14
Calculate the remainder when 295367 is divided by 372.
371
Calculate the remainder when 112015 is divided by 12441.
46
Calculate the remainder when 62592 is divided by 62584.
8
What is the remainder when 16775 is divided by 2095?
15
What is the remainder when 153677 is divided by 80?
77
Calculate the remainder when 88869 is divided by 161.
158
What is the remainder when 887 is divided by 31?
19
What is the remainder when 55990 is divided by 73?
72
What is the remainder when 132896 is divided by 269?
10
Calculate the remainder when 34894 is divided by 401.
7
What is the remainder when 70908 is divided by 128?
124
What is the remainder when 3191 is divided by 805?
776
Calculate the remainder when 13224 is divided by 154.
134
Calculate the remainder when 1195 is divided by 409.
377
What is the remainder when 808940 is divided by 7354?
0
Calculate the remainder when 46853 is divided by 248.
229
What is the remainder when 723056 is divided by 32?
16
What is the remainder when 4330 is divided by 3?
1
What is the remainder when 1207 is divided by 569?
69
What is the remainder when 5835 is divided by 1919?
78
What is the remainder when 740 is divided by 513?
227
What is the remainder when 9534 is divided by 6874?
2660
What is the remainder when 8968 is divided by 1585?
1043
What is the remainder when 7388439 is divided by 183?
180
What is the remainder when 8051 is divided by 503?
3
Calculate the remainder when 5973 is divided by 1988.
9
Calculate the remainder when 106852 is divided by 3955.
67
Calculate the remainder when 4884 is divided by 16.
4
Calculate the remainder when 9602 is divided by 177.
44
Calculate the remainder when 17239 is divided by 15.
4
What is the remainder when 837545 is divided by 1782?
5
What is the remainder when 15736 is divided by 71?
45
Calculate the remainder when 1675 is divided by 410.
35
Calculate the remainder when 308273 is divided by 1614.
1613
Calculate the remainder when 2294 is divided by 15.
14
What is the remainder when 3331 is divided by 28?
27
Calculate the remainder when 124974 is divided by 103.
35
Calculate the remainder when 924 is divided by 451.
22
What is the remainder when 18711 is divided by 197?
193
Calculate the remainder when 188 is divided by 157.
31
Calculate the remainder when 21581 is divided by 696.
5
Calculate the remainder when 36100 is divided by 1094.
1092
What is the remainder when 31853 is divided by 204?
29
What is the remainder when 1120 is divided by 17?
15
Calculate the remainder when 9732 is divided by 174.
162
Calculate the remainder when 8051 is divided by 608.
147
What is the remainder when 15635 is divided by 15585?
50
Calculate the remainder when 2377 is divided by 542.
209
Calculate the remainder when 11725 is divided by 59.
43
What is the remainder when 20591 is divided by 144?
143
What is the remainder when 110395 is divided by 10035?
10
What is the remainder when 24319 is divided by 236?
11
Calculate the remainder when 15770 is divided by 1970.
10
Calculate the remainder when 2316 is divided by 452.
56
What is the remainder when 69570 is divided by 34561?
448
What is the remainder when 292641 is divided by 132?
129
What is the remainder when 218790 is divided by 2701?
9
Calculate the remainder when 17252 is divided by 480.
452
What is the remainder when 56852 is divided by 37?
20
What is the remainder when 8418 is divided by 1201?
11
Calculate the remainder when 226017 is divided by 8.
1
What is the remainder when 7
|
{
"pile_set_name": "DM Mathematics"
}
|
i(n) = 5*n**2 + 4*n - 13. Give -4*b(r) + 9*i(r).
r**2 - 13
Let j(k) = -k. Let g(c) = 18*c + 2. Determine -g(d) - 5*j(d).
-13*d - 2
Let y(p) = -2*p**3 - 4*p**2 + 48*p + 3. Let j(u) = -u**3 - 3*u**2 + 49*u + 2. What is -3*j(i) + 2*y(i)?
-i**3 + i**2 - 51*i
Let g(d) = 7*d**3 - 7*d**2 + d. Let l(j) = -6*j**3 + 6*j**2 - j. Determine -4*g(z) - 5*l(z).
2*z**3 - 2*z**2 + z
Let a(k) = -4*k**3 - 2*k**2 - 3*k - 1. Let t(l) = -7*l**3 - 3*l**2 - 5*l - 2. Let r be (1/1)/((-12)/(-24)). Suppose 8 = -2*f - r. What is f*a(i) + 3*t(i)?
-i**3 + i**2 - 1
Let h(p) = p. Let a(z) = -2*z**3 - z**2 - z + 1. Let k be a(1). Let r(n) = -4*n + 3. Let j = -1122 - -1121. Determine j*r(f) + k*h(f).
f - 3
Let r(q) = -15*q. Let j(y) = 46*y. What is -2*j(a) - 7*r(a)?
13*a
Let l(v) = v**3 + 21*v**2 - v - 27. Let q be l(-21). Let m(s) = 2*s**2 + 6. Let w(o) = 3*o**2 + 7. Calculate q*m(f) + 5*w(f).
3*f**2 - 1
Let o(l) = -l**3 - 17*l**2 + 2*l + 27. Let w be o(-17). Let v(t) = -16*t. Let n(m) be the first derivative of -5*m**2/2 + 2. Give w*n(j) + 2*v(j).
3*j
Let w(s) = -6*s**3 + 2*s**2 - 3*s. Suppose -5*b = 7*b + 36. Let z(v) = v**3 + v. Calculate b*z(k) - w(k).
3*k**3 - 2*k**2
Let f(v) = -2*v**2 - 17*v + 8. Let r(b) = b**2 + 6*b - 3. Suppose 9*j + 160 - 61 = 0. What is j*r(z) - 4*f(z)?
-3*z**2 + 2*z + 1
Suppose -4*z = -3*z + 4*y - 5, 5*z + 3*y = 25. Let q(d) = -d. Let w(g) = 6*g + 2. Calculate z*q(p) + w(p).
p + 2
Let k(t) = t + 5. Let g(o) = 3 + 3 - 7 + 0. Let y(h) = -2*h**3 - 2*h + 1. Let i be y(1). Determine i*k(m) - 15*g(m).
-3*m
Let z(q) = -47*q - 5. Let f(n) = -94*n - 9. Determine 6*f(b) - 11*z(b).
-47*b + 1
Let q(u) = 8*u**3 - 17*u**2 - 78*u. Let p(f) = -3*f**3 + 6*f**2 + 26*f. Calculate -17*p(z) - 6*q(z).
3*z**3 + 26*z
Let a(h) = -3 + 4*h**3 + 17*h**2 + h**3 - 9*h - 10*h**2. Let s(p) = 2*p**3 + 3*p**2 - 4*p - 1. Calculate 3*a(b) - 7*s(b).
b**3 + b - 2
Let v(i) = -i**2 - i + 1. Suppose -4*f + 13 = -5*w, -4*f = -4*w - 11 + 3. Let r be v(f). Let h(j) = -1. Let c(z) = z - 5. What is r*h(m) + c(m)?
m
Let p(w) = 5*w**2 + 1. Let m(q) = -q**2 + 1. Let g(v) = -4*m(v) - p(v). Let a(r) = r**2 + 3. Determine -10*a(h) - 6*g(h).
-4*h**2
Let c(u) = 10*u - 5. Let z(g) = -10*g + 4. What is 2*c(k) + 3*z(k)?
-10*k + 2
Let t(w) be the second derivative of 0 - 1/3*w**3 - 11*w + 3/2*w**2. Let f = 20 - 28. Let h(o) = -3*o + 5. Determine f*t(g) + 5*h(g).
g + 1
Let h(v) = 24*v**2 + 2*v - 2. Let m(j) = -25*j**2 - 3*j + 3. What is 3*h(y) + 2*m(y)?
22*y**2
Let b(v) = -4*v**3 - 2*v**2. Let m(s) be the third derivative of 0 + 0*s**4 + 1/30*s**5 + 1/40*s**6 + 0*s**3 + 4*s**2 + 0*s. Give 5*b(h) + 6*m(h).
-2*h**3 + 2*h**2
Let m(k) = 4*k**3 + 5*k**2 + 6*k. Suppose -2*g + 5 = -y, -5*y + 2*g + 14 = 5*g. Let i(o) = -o**3 - o**2 - o. Determine y*m(t) + 6*i(t).
-2*t**3 - t**2
Let t(f) = 4*f**2 - 3. Let u(d) = -5*d**2 + 4. Let g be ((-6)/(-9))/(2/(-9)). Determine g*u(o) - 4*t(o).
-o**2
Let b(y) = -3*y. Let a(z) = -2 - 1 + 2 + z. Let p(q) = -q**2 + 6*q + 8. Let x be p(7). Let h be ((-1)/x)/(1/(-2)). Calculate h*a(c) + b(c).
-c - 2
Let z(g) = 4*g**2 - 5*g. Let r(b) be the first derivative of 2*b**3 - 7*b**2/2 + 2. Let f = 12 + -7. Give f*r(c) - 7*z(c).
2*c**2
Let v(d) = -d**3 + 4*d - 4. Let u(b) be the first derivative of -b**4/2 + 7*b**2/2 - 7*b - 3. Suppose -3*w - 2*w = 35. What is w*v(f) + 4*u(f)?
-f**3
Let l(k) be the third derivative of -k**4/6 - 2*k**3/3 + 8*k**2. Let f(c) = 17*c + 17. What is -2*f(q) - 9*l(q)?
2*q + 2
Let g(v) = 5*v**3 + 17*v**2. Let n(a) = 2356 - a**3 - 4*a**2 - 2356. Give 2*g(k) + 9*n(k).
k**3 - 2*k**2
Let c(z) = -3*z**2 - 5*z + 5. Let d(l) = -l**2 - 2*l + 2. Give -2*c(k) + 5*d(k).
k**2
Let t = 3 - 0. Let f(b) = -b + 1. Let u(v) = -2*v - 6*v + 3*v + 2. Calculate t*f(d) - u(d).
2*d + 1
Let p(g) be the first derivative of -2*g**3/3 - 7*g - 6. Let h(m) = m**2 + 4. Give 7*h(n) + 4*p(n).
-n**2
Let y(t) = -3*t**2 + 5*t - 2. Suppose 0 = 5*m + 191 - 1. Let v be m/(-6) - (-2)/3. Suppose 3*o - 16 = -v. Let q(k) = -2*k**2 + 3*k - 1. Give o*y(s) - 5*q(s).
s**2 - 1
Let u(d) = d - 8. Let s(h) = h - 7. Calculate -5*s(y) + 4*u(y).
-y + 3
Let c(h) = -h**2 + h - 1. Let d = 16 - 10. Let v be (-4)/1 + 1 + 2. Let m(f) = -2*f**3 - 7*f**2 + 6*f - 6. Calculate d*c(o) + v*m(o).
2*o**3 + o**2
Let u(d) = -2*d**2 - 9*d**2 - 5 + 6*d + 10 + 8*d**2. Suppose -7*s + 16 = -3*s. Let g(t) = -t**2 + t + 1. Let q = -1 - 0. Give q*u(i) + s*g(i).
-i**2 - 2*i - 1
Let t(i) = -i**2 + 3*i + 2. Let b(x) = 3*x**2 - 9*x - 7. Determine 3*b(p) + 8*t(p).
p**2 - 3*p - 5
Let d(k) = 55*k**2 - 65. Let n = -50 + 115. Let z(h) = -5*h**2 + 6. Calculate n*z(q) + 6*d(q).
5*q**2
Let j(m) = -7*m**2 - 5*m. Let s(c) = -4*c**2 - 3*c. Suppose f + 2*f = -2*q + 3, 2*q - 2*f = 8. Calculate q*j(l) - 5*s(l).
-l**2
Let m(n) = 7*n + 6. Let q(h) = -h - 1. Suppose -5*c - 3 = -2*c. Determine c*m(f) - 6*q(f).
-f
Let a(y) = -8*y**3 + 4*y**2 + 2*y + 3. Let v(j) = j**3 - j**2 - 1. Give -a(x) - 6*v(x).
2*x**3 + 2*x**2 - 2*x + 3
Let o(z) = -2*z**3 + 8*z**2. Let a = -12 + 17. Let s(t) = -t**3 + 5*t**2. Determine a*o(p) - 8*s(p).
-2*p**3
Suppose 3*h = -3*m + 3, 27 = m - 4*h + 1. Let w(q) = -6*q**2 - 17*q - 17. Let t(s) = -s**2 - 3*s - 3. What is m*w(n) - 34*t(n)?
-2*n**2
Let r(x) = 2*x**2 + 2*x + 2. Let c(n) = -4*n**2 - 5*n - 5. Suppose 2*b - 3*z = 18, 5*z + 26 = -0*b + 3*b. Suppose -6 = -6*t + b. Calculate t*c(h) + 7*r(h).
2*h**2 - h - 1
Suppose -7 = 5*h + 18. Let l(b) = 6*b. Let d(z) = -z. Calculate h*d(c) - l(c).
-c
Suppose -3*c = -8*c - 20. Let n(k) be the third derivative of k**6/60 + k**4/4 + 2*k**3/3 - k**2. Let d(t) = t + 1. Determine c*d(v) + n(v).
2*v**3 + 2*v
Let n(r) = -6*r - 1. Suppose -4*p + 71 = -9. Suppose -2*t - p = 3*t. Let z(o) = 11*o + 2. Give t*z(f) - 7*n(f).
-2*f - 1
Let w(o) = -o - 8*o - 10*o**2 - 7*o**2 + 5 - 1. Let p(g) = -8*g**2 - 4*g + 2. Calculate -7*p(y) + 3*w(y).
5*y**2 + y - 2
Suppose 5*y - 5*j - 15 = 0, 5*y - 31 = -2*j - j. Suppose -y = -3*z + 2*z. Let t(l) = 3*l**3 - 7*l + 4. Let x(v) = 5*v**3 - 11*v + 6. What is z*x(r) - 8*t(r)?
r**3 + r - 2
Let h(g) = 44*g**3 + 11*g**2 + 11*g + 11. Let k(y) = 11*y**3 + 3*y**2 + 3*y + 3. Give -3*h(r) + 11*k(r).
-11*r**3
Let u(t) = 50*t + 8. Let s(i) = -17*i - 3. What is 8*s(n) + 3*u(n)?
14*n
Let n(a) = -2*a. Let q(m) = 19*m - 16*m - 2*m. Determine -3*n(c) - 8*q(c).
-2*c
Let m(a) = a - 1. Suppose -i + 5*d = -15, 0*i + 5*i - 33 = 4*d. Suppose v = 2*g + 2*v + 3, -2*v = -i*g - 12. Let p(y) = y**3 - 3*y + 4. What is g*p(w) - 6*m(w)?
-2*w**3 - 2
Let i(o) = 11*o**2 + 8. Let k(j) = 5 - j**2 - 7*j**2 + 15*j**2. Suppose 0 = -g + 2*g + 2*n - 12, 5*n = 5*g - 30. Give g*k(h) - 5*i(h).
h**2
Let s(i) be the first derivative of -i - 14. Let t(o) = 2*o + 10. Calculate -12*s(j) - t(j).
-2*j + 2
Let b(s) = s**3 + s**2 - 1. Let o(q) = 2*q**2 - 4. What is 2*b(j) - o(j)?
2*j**3 + 2
Let k(h) = 4*h + 5. Let o(l) = 10*l + 12. Suppose -3*t + 48 = t. Determine t*k(z) - 5*o(z).
-2*z
Let f(k) = -40*k + 5. Let q(x) = -79*x + 9. Determine 5*f(m) - 3*q(m).
37*m - 2
Let u(s) = 5*s**2 - 7*s + 1. Let l(g) be the second derivative of -g**4/3 + g**3 - g**2/2 + 7*g. What is 7*l(z) + 6*u(z)?
2*z**2 - 1
Let m(f) = 9*f**2 + 7*f + 9. Let d = 0 + 5. Let j be d/3*(2 - -1). Let p(x) = -13*x**2 - 10*x - 13. What is j*p(a) + 7*m(a)?
-2*a**2 - a - 2
Let p(g) = 4. Suppose 2*v = r - 54, 2*v + 3*v - 4*r = -132. Let a(x) = -x**2 - 28. Calculate v*p(n) - 4*a(n).
4*n**2
Let v(d) = -d**3 - d**2 - d. Let q be 2/7 - (-26)/7. Let h = -2 + q. Let f(p) = 12*p**h + 2 + 11*p**3 + 0 + 3*p**3 + 14*p - 2*p. What is -f(w) - 12*v(w)?
-2*w**3 - 2
Let s(t) = 4*t**3 - 5*t**2 + 3*t - 1. Let u(a) = -3*a**3 + 6*a**2 - 3*a + 1. What is -6*s(p) - 5*u(p)?
-9*p**3 - 3*p + 1
Let u(q) = -5*q + 16. Let y(v) = 14*v - 48. Calculate -11*u(w) - 4*y(w).
-w + 16
Let p(f) = 5*f**2 + f - 5. Let i(s) be the third derivative of s**5/15 + s**4/12 - 2*s**3/3 - 10*s**2. Determine 3*i(m) - 2*p(m).
2*m**2 + 4*m - 2
Let n(r) = r**2 + 7*r - 4. Let i(h) = -2*h**2 - 13*h + 7. Determine -6*i(s) - 11*n(s).
s**2 + s + 2
Let v(c) = -3. Let h(x) = -x + 1. Let n = -66 - -67. Give n*v(y) + h(y).
-y - 2
Let r(z) = -4*z - 6. Let i(f) = -3*f - 5. Calculate 6*i(v) - 5*r(v).
2*v
Let m(n) = -19 + n**2 + 19 + 10*n**2. Let z(o) = -5*o**2. Suppose 2*s + 4*p + 3 = -25, 0 = 5*s - 2*p + 10. Give s*m(w) - 9*z(w).
w
|
{
"pile_set_name": "DM Mathematics"
}
|
ator of -76/9 and 97/94?
846
What is the common denominator of -7/7729 and -47/262?
15458
What is the smallest common multiple of 1821 and 15?
9105
What is the least common multiple of 952 and 56?
952
What is the least common multiple of 966 and 966?
966
What is the common denominator of 32/209 and 21/76?
836
What is the smallest common multiple of 1572 and 30?
7860
Calculate the smallest common multiple of 4 and 200.
200
What is the least common multiple of 11 and 145?
1595
Find the common denominator of -83/248 and 85/52.
3224
Calculate the least common multiple of 6 and 11121.
22242
Calculate the smallest common multiple of 599 and 1198.
1198
What is the common denominator of -21/592 and -29/16?
592
Find the common denominator of 49/1630 and 62/3.
4890
What is the common denominator of -29/4 and 41/1162?
2324
Find the common denominator of 41/30 and -139/558.
2790
Calculate the smallest common multiple of 216 and 243.
1944
What is the common denominator of 26/125 and -13/200?
1000
What is the lowest common multiple of 63 and 81?
567
Calculate the least common multiple of 32 and 394.
6304
What is the common denominator of 62/5075 and 127/70?
10150
What is the least common multiple of 201 and 2881?
8643
Find the common denominator of -35/2776 and -93/104.
36088
Calculate the smallest common multiple of 45 and 18.
90
What is the common denominator of -83/6 and -47/573?
1146
Find the common denominator of 131/6 and 49/320.
960
Find the common denominator of -16/27 and -7/10.
270
Calculate the least common multiple of 39 and 3.
39
Calculate the common denominator of -115/4938 and 47/45.
74070
What is the common denominator of -24/305 and 23/55?
3355
Calculate the smallest common multiple of 253 and 966.
10626
Calculate the common denominator of -151/270 and -11/210.
1890
Calculate the smallest common multiple of 154 and 88.
616
What is the lowest common multiple of 4 and 2274?
4548
Calculate the least common multiple of 126 and 33.
1386
Calculate the least common multiple of 81 and 81.
81
Calculate the common denominator of -73/22582 and -30.
22582
Calculate the common denominator of 91/345 and -44/5865.
5865
Find the common denominator of -13/539 and 3/121.
5929
What is the smallest common multiple of 23 and 3?
69
What is the common denominator of -7/774 and -75/28?
10836
What is the common denominator of -157/3330 and -79/108?
19980
What is the common denominator of 32/135 and 49/3?
135
What is the smallest common multiple of 540 and 20?
540
Find the common denominator of -45/1156 and -57/2890.
5780
What is the common denominator of 97/438 and 85/6?
438
Calculate the common denominator of 49/240 and 19/920.
5520
What is the lowest common multiple of 165 and 66?
330
What is the smallest common multiple of 20 and 50?
100
Calculate the smallest common multiple of 63 and 294.
882
Find the common denominator of 97/1402 and -45/701.
1402
Find the common denominator of 79/258 and -33/344.
1032
What is the lowest common multiple of 80 and 48?
240
What is the least common multiple of 22 and 94?
1034
What is the common denominator of 103/12 and -83/26?
156
What is the least common multiple of 72 and 360?
360
Calculate the smallest common multiple of 64 and 96.
192
Find the common denominator of -57/70 and -125/42.
210
Calculate the common denominator of -47/10 and -3/26.
130
What is the common denominator of -29/2 and 115/222?
222
Calculate the smallest common multiple of 135 and 6.
270
Calculate the common denominator of 85/8 and -91/20.
40
What is the least common multiple of 184 and 18?
1656
What is the smallest common multiple of 168 and 8?
168
Find the common denominator of 65/112 and 127/42.
336
Find the common denominator of -71/2420 and -193/330.
7260
What is the smallest common multiple of 18 and 36?
36
What is the common denominator of 23/1168 and 99/32?
2336
Find the common denominator of 19/20 and -91/180.
180
What is the smallest common multiple of 12 and 708?
708
What is the common denominator of 97/6 and 55/522?
522
Calculate the lowest common multiple of 786 and 258.
33798
Calculate the lowest common multiple of 4 and 38.
76
What is the lowest common multiple of 435 and 9?
1305
Find the common denominator of -103/720 and 157/4680.
9360
Find the common denominator of -15/14 and 17/3190.
22330
What is the common denominator of -7/198 and -46/297?
594
What is the smallest common multiple of 4 and 1390?
2780
Calculate the lowest common multiple of 5393 and 11.
59323
What is the common denominator of 119/20 and -83/8608?
43040
What is the common denominator of -8/11 and -1/4237?
46607
What is the smallest common multiple of 7 and 1?
7
Find the common denominator of 53/30 and 3/220.
660
What is the lowest common multiple of 12 and 687?
2748
What is the common denominator of 35/2 and -33/872?
872
Calculate the smallest common multiple of 3 and 4.
12
Calculate the common denominator of -18/11 and 83/190.
2090
What is the least common multiple of 4885 and 7?
34195
Calculate the common denominator of 89/15 and 145/252.
1260
What is the lowest common multiple of 27 and 2928?
26352
Calculate the least common multiple of 11139 and 33.
122529
What is the least common multiple of 644 and 184?
1288
What is the least common multiple of 385 and 8?
3080
What is the lowest common multiple of 3012 and 84?
21084
What is the least common multiple of 272 and 68?
272
Calculate the smallest common multiple of 678 and 9.
2034
Calculate the common denominator of 131/138 and 71/18.
414
What is the lowest common multiple of 36 and 582?
3492
Calculate the common denominator of 7/424 and -83/2.
424
Calculate the smallest common multiple of 72 and 21.
504
What is the lowest common multiple of 248 and 14?
1736
What is the least common multiple of 80 and 16?
80
Calculate the common denominator of -47/220 and 101/176.
880
What is the least common multiple of 1 and 4026?
4026
Find the common denominator of -43/402 and 16/737.
4422
Calculate the common denominator of -53/870 and 5/1566.
7830
What is the lowest common multiple of 115 and 55?
1265
Calculate the common denominator of -61/3554 and -79/4.
7108
What is the smallest common multiple of 44 and 330?
660
Calculate the lowest common multiple of 556 and 44.
6116
Calculate the smallest common multiple of 56 and 210.
840
Calculate the smallest common multiple of 72 and 27.
216
Calculate the least common multiple of 805 and 138.
4830
Find the common denominator of -28/11 and -109/10.
110
What is the common denominator of -19/309 and 47/824?
2472
Find the common denominator of -28/75 and 149/30.
150
What is the least common multiple of 185 and 180?
6660
What is the common denominator of 5/21 and -32/35?
105
What is the least common multiple of 72 and 60?
360
Calculate the common denominator of -97/28 and 93/128.
896
Calculate the least common multiple of 27 and 4854.
43686
Calculate the lowest common multiple of 45 and 48.
720
Find the common denominator of -25/106 and -79/20.
1060
Find the common denominator of 163/660 and 58/1485.
5940
What is the common denominator of -137/12 and 1/192?
192
Calculate the smallest common multiple of 665 and 30.
3990
What is the least common multiple of 748 and 132?
2244
What is the common denominator of -123/3380 and 47/6084?
30420
Find the common denominator of -151/132 and -41/3.
132
Calculate the common denominator of -32/75 and -161/90.
450
What is the smallest common multiple of 231 and 48?
3696
Calculate the smallest common multiple of 5 and 100.
100
What is the lowest common multiple of 64 and 16?
64
What is the lowest common multiple of 96 and 36?
288
What is the smallest common multiple of 75 and 150?
150
Calculate the common denominator of 61/3 and 52/333.
333
Calculate the least common multiple of 4 and 5.
20
Calculate the common denominator of 131/282 and -79/6.
282
What is the smallest common multiple of 605 and 165?
1815
Calculate the least common multiple of 220 and 6.
660
Calculate the lowest common multiple of 36 and 16.
144
Calculate the least common multiple of 17 and 79.
1343
What is the smallest common multiple of 90 and 660?
1980
Calculate the common denominator of -41/88 and -111/20.
440
What is the lowest common multiple of 630 and 2961?
29610
Calculate the lea
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5 + l - 5) in the form d*l + q*l**2 + v and give q.
10
Rearrange -c + 6*c**4 - 5*c**4 - c**3 + 11*c**2 + 3*c**3 - 2 - c to the form v*c**4 + d*c**2 + o*c + k*c**3 + l and give d.
11
Rearrange (-86*v + 86*v + 28*v**2)*(v - 4*v + 2*v + 2) to the form x + o*v + m*v**3 + s*v**2 and give s.
56
Express 57*r + 15*r + 10*r as t*r + u and give t.
82
Express -z**3 + 78*z**2 + 2*z - 4*z**4 - 78*z**2 as v*z + j*z**4 + m*z**2 + t*z**3 + s and give m.
0
Rearrange -9*j**2 - 1 - 1 + 34*j**2 to the form i + u*j**2 + v*j and give u.
25
Rearrange -3*g**2 + 33*g - 4*g**2 + 6*g**2 + 0*g**2 to the form m*g + u*g**2 + q and give q.
0
Rearrange 12*g**2 - 60 + 60 + 37*g**2 to d*g + t + k*g**2 and give d.
0
Express -f + 2 + 2*f**3 + f**4 + 2 - 3 - 3 in the form i + c*f + d*f**3 + x*f**2 + r*f**4 and give c.
-1
Express (0*v + 0*v + 2*v)*((-29 - 9 - v + 0*v)*(2*v + 0 + 0) - 3*v**2 + 2*v**2 + 2*v**2) in the form s*v + i*v**3 + n + w*v**2 and give i.
-2
Rearrange (-13 - 3 + 4)*(4*l - 2*l - 5*l)*(-l**3 - l + l) to the form v*l + a*l**2 + b + o*l**3 + z*l**4 and give z.
-36
Rearrange -3*j**3 + 0*j**2 + 0*j**2 + (0*j**2 + 3*j**2 + 0*j**2)*(4*j - 2*j - 3*j) to the form r*j**3 + c*j**2 + n*j + f and give r.
-6
Express 53*g - 4*g**2 - 53*g in the form x + f*g**2 + l*g and give f.
-4
Rearrange 65*d**2 - 17*d**2 - 198 + 198 to y + b*d + p*d**2 and give y.
0
Rearrange (-3 + 3 + 2*d)*(-2 + 2 + 2)*(1 + 3 + 0)*(-4*d**2 + 2*d**2 + 4*d**2) + 25*d - 25*d - 8*d**3 to the form q + p*d + h*d**2 + a*d**3 and give a.
24
Rearrange f**2 - 3*f - 5*f**2 - 7*f**2 to x*f**2 + a + d*f and give x.
-11
Rearrange (n + n - n - 3 + 3*n + 3 + (3*n - 2*n + n)*(3 - 3 + 1) - 3*n + 3*n - 3*n)*(-2 + 1 + 0)*(-1 - 1 + 4) to the form x*n + d and give x.
-6
Rearrange -117*v**4 + 90*v**4 - 129*v**4 + (0*v - 3*v + 4*v)*(-v**3 - v**3 + 3*v**3) to j*v**3 + p*v + n*v**4 + u + g*v**2 and give j.
0
Rearrange -s**2 + 0*s + 6*s - s to the form r*s**2 + f + h*s and give h.
5
Rearrange 20*d + 0 + 0 + 19*d to the form m*d + q and give m.
39
Rearrange ((3*y - 38 + 47 - y)*(4 - 4 - 2*y**2) - y**3 - 3*y**3 + 3*y**3)*(2*y + 0*y - 5*y) to p*y + a + s*y**2 + r*y**3 + t*y**4 and give s.
0
Rearrange (-2*c**2 + 2*c**2 + 2*c**2)*((-3 + c + 3)*(1 - 2*c - 1) + 28*c**2 - 4*c**2 + 25*c**2) to w*c**3 + h*c + y*c**4 + m*c**2 + j and give y.
94
Express (-6 + 6 - 3*i)*(0*i - 2*i + i)*(5*i - 12*i - 2*i) as s*i**3 + b + x*i**2 + w*i and give s.
-27
Express -2*b - 4*b**3 - 7 - 4*b**2 + 7 + 6*b**3 in the form n + w*b**2 + u*b**3 + m*b and give n.
0
Express (-58 - 17*i + 16*i + 33)*(0 + 3 - 5) in the form r*i + g and give g.
50
Rearrange (9 + 6 - 6*k - 16)*(5 - 2 - 1) to j + v*k and give v.
-12
Express -5 - 3*v - 5 + 4*v + 11 + v**2 in the form z*v**2 + q*v + j and give j.
1
Rearrange -5 + n**2 + 0*n**2 - 6*n**2 - 3 to the form x*n + b + y*n**2 and give b.
-8
Rearrange 2 + 2*m - 2 + (2 - 2 - 2*m)*(4 - 4 - 3) to b + t*m and give t.
8
Rearrange (2*a - 5*a - 5*a)*(-1 + 1 + 2*a)*(a - a - 2*a) to y*a**3 + w + z*a + p*a**2 and give w.
0
Express (-b + b + b**2)*(0*b + 3*b + 0*b)*((-2 - 1 + 2)*(3 + 0 - 5) + (1 - 4 + 1)*(2 - 2 + 1) + 3 - 1 - 4) as o*b**2 + s*b**3 + t*b + k and give s.
-6
Express (b**3 + b**3 + 0*b**3)*(5 + 0 - 4) - 36 - 4*b**3 + 36 as i*b + m*b**2 + t + z*b**3 and give z.
-2
Express (-146 + 146 - 19*r**2)*((-2 + 2 + 2*r)*(-r + r + r) + 2*r**2 + 0 + 0) in the form s*r**4 + k*r + c*r**3 + h*r**2 + m and give s.
-76
Rearrange -r**3 + 3*r**3 - 3*r**3 + 2*r**3 - 2*r**3 - r**3 + (3 - r - 3)*(-5*r**2 + 2*r**2 + r**2) + 3*r**3 - 8*r + 8*r to d*r**2 + v + f*r + n*r**3 and give n.
3
Rearrange 0*t**2 + 2*t**4 + t + 36*t**3 - 2 + 0*t**2 - 33*t**3 to the form g*t + b + p*t**3 + r*t**4 + w*t**2 and give b.
-2
Express -1 + 6*l**4 + 0*l**2 - 454*l**3 + 2*l**2 + 453*l**3 as i*l**3 + t*l**4 + v + x*l**2 + r*l and give t.
6
Express -17 + 13*h**2 - 23 + 41 in the form b + k*h + d*h**2 and give d.
13
Express (-2 + 2*a + 2)*(-2*a - 6*a - 3*a)*(1 - 1 - 1) as p*a**2 + k*a + d and give p.
22
Rearrange 2*l**2 + 98*l**3 + l**4 + 5 - 100*l**3 - 2*l**4 to s*l + h*l**3 + y*l**2 + b*l**4 + w and give y.
2
Rearrange (-40 + 40 + 8*z)*(3 + 2*z - 3) + (2 - 4 + 0)*(-5*z**2 + z**2 + 2*z**2) to the form v + w*z**2 + q*z and give w.
20
Rearrange 2*c**3 + 2*c**2 - 2*c**2 + (c + 5*c - 4*c)*(c**2 + c**2 - 4*c**2) - 2*c**2 - 3*c**3 + 7*c**3 - c**3 to the form m*c + q*c**3 + f + h*c**2 and give h.
-2
Express 7*h - 7*h + 22*h as o*h + v and give o.
22
Express -2*w**2 + 3*w**3 + 3*w**2 + 0*w**2 - 2*w**2 + 1 as z*w + x*w**3 + v*w**2 + a and give v.
-1
Rearrange 8 + 16*u - 7 - 1 to n*u + d and give n.
16
Express (1 + 0 + 1)*(42*h + 150*h + 32*h) as v + g*h and give g.
448
Express -16 + 16 + 13*o - 3*o + 3*o + 2*o - 3 - 2*o + 3 + (-1 + 2 + 1)*(1 + 2*o - 1) - 2 - o + 2 in the form b*o + t and give b.
16
Rearrange (0*g + 0*g + g)*(0*g + g - 2*g) + 3*g**2 - 4*g + 4*g + 2*g to a*g + j*g**2 + w and give j.
2
Express 23*t**4 + 1 - 4*t - 25*t**4 - 8*t**2 + 6*t**2 in the form c*t**3 + o*t**2 + f*t**4 + u*t + w and give w.
1
Rearrange (-y**2 + y**2 - y**3)*(-23 + 5 - 1) to j*y**2 + q + l*y + k*y**3 and give k.
19
Express -r**2 - 2 + 2 + (4 - 2 - 1)*(-14*r**2 - 11*r**2 - 3*r**2) as k*r**2 + y*r + s and give k.
-29
Rearrange 3*k**2 + 7*k**2 - 4*k**2 + 3 - 2 to f + z*k + g*k**2 and give f.
1
Express 2 - 12*q - 3*q**2 + 0*q**2 - 9*q + q**2 in the form v*q**2 + j + l*q and give j.
2
Rearrange 5*r**2 + 5*r - 10*r + 2 + 8*r to the form n*r + i + p*r**2 and give n.
3
Rearrange (-2 + 2 - 2*l)*(2*l + 0 + 0) - 19*l - 5*l**2 + 24*l - 15*l + 2*l**2 - 5*l**2 + l**2 to p + i*l**2 + b*l and give i.
-11
Rearrange 108*d**3 - 3 - 114*d**3 + 0 to the form y*d**2 + k*d + h + x*d**3 and give h.
-3
Rearrange 21*c**3 - 41*c**3 + 31*c**3 + (0*c**2 - 4*c**2 + 2*c**2)*(3*c + 3*c - 3*c) to the form p*c**2 + q*c + g + i*c**3 and give i.
5
Rearrange -3*b + 8*b + 15*b to the form r*b + k and give r.
20
Express 4 + x - 4 + (-3 + 4 + 1)*(-8*x - 12*x - 2*x) in the form y*x + l and give y.
-43
Express (3*z + 2*z - 4*z)*(-1 + 4 - 2)*(13 - 7 - 64) as f + m*z and give m.
-58
Rearrange (4*z + 33*z + 2 - z)*(1 + 0 + 1) to the form c + y*z and give c.
4
Rearrange -3*p + 2*p - 6 + 3 + p + 0 + 0 + (2 + 4 - 4)*(4*p - 2*p - 4*p) + 5*p - p + p - 3*p - p + 5*p to k + w*p and give k.
-3
Rearrange (t - 2*t - t)*(0 - 4 + 2) + (-t - 4*t + 6*t)*(-6 + 5 - 8)*(-1 + 2 - 2) to q + o*t and give o.
13
Rearrange (8*a - 3*a - 2*a)*(-31 + 1 - 38) to u*a + t and give u.
-204
Express (-73*v + 73*v + 24*v**2)*(0 + 1 + 0) + 2*v**2 - 3*v**2 + 0*v**2 in the form f*v + l*v**2 + i and give l.
23
Express (-77*l + 10802 - 10802)*(2 - 3 + 3) in the form r*l + v and give r.
-154
Express -4*v**2 + 11*v**2 - 7*v**2 + 13*v**2 as q*v + f*v**2 + w and give f.
13
Rearrange 12*v**4 - v - 13*v**4 - 21 - 30 to m*v + h + u*v**3 + n*v**4 + f*v**2 and give n.
-1
Rearrange -4 + 3 + g - 2*g**3 + g**4 - 5*g**2 + 4*g**3 to the form v*g**3 + k*g**2 + y*g + f*g**4 + n and give n.
-1
Rearrange i - 118*i**2 + 120*i**2 + i to u*i + v + h*i**2 and give u.
2
Express -c**4 + 2*c - 2*c + (2*c - c - 3*c)*(0 + 0 + 2*c**3) + (0*c + 0*c + 3*c**3)*(-3 - 2*c + 3) as v*c + p*c**3 + q*c**4 + k + d*c**2 and give q.
-11
Rearrange -24*l**2 + 3*l**2 + 21*l**2 - 110*l**4 + (4 - 4 + 2*l**4)*(1 - 2 + 3) to k*l**4 + b + o*l + v*l**3 + w*l**2 and give k.
-106
Rearrange -9*k**4 + 2 - 2*k**3 + 4*k**4 + 4*k**4 + k + 0 to j + p*k + r*k**4 + o*k**2 + z*k**3 and give p.
1
Rearrange -22*c + 38*c + 41*c to the form h + n*c and give n.
57
Express (3*p**2 + p - p)*(-2*p + 0*p - p)*(0*p + 2*p - p) as k + j*p + y*p**3 + x*p**2 + m*p**4 and give m.
-9
Express (734*q - 734*q - 6 - q**2)*(4*q**2 + q**2 - 3*q**2) in the form w*q**4 + l + c*q + k*q**2 + m*q**3 and give k.
-12
Rearrange (100 - 50 - 3)*(-2*v + 2*v + 2*v + (3*v - v - 3*v)*(-4 + 4 - 2) - 2 + v + v + 5) to g*v + i and give i.
141
Rearrange 71 - 71 - 10*k**4 + k + k**2 to w*k**4 + x + i*k**3 + l*k**2 + r*k and give r.
1
Express 2*o**3 - 29*o + 14*o + 3*o**4 - 1 + 11*o as n*o + j + f*o**4 + h*o**2 + w*o**3 and give h.
0
Rearrange -b**2 - 3*b**2 + 6*b**2 - 5*b**2 + 8 - 8 + (0 + 3 - 1)*(2*b**2 + 0*b + 0*b) to the form c*b**2 + h*b + l and give c.
1
Rearrange (52 - 69 + 87)*(2*k + 2*k - 3*k)*(-2*k + k**2 + 2*k) to the form o*k**3 + x*k**2 + a*k + p and give o.
7
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 + x + h*f and give v.
1
Rearrange 26*a**2 - 7*a**3 - 4*a**2 - 5*a**3 - 64 + 28*a**2 - a + 66 to y*a + i + w*a**3 + s*a**2 and give y.
-1
Rearrange (-13 + 13 + 29)*((2 - 2 - 2)*(2*n - 2 + 2) + 19*n - 12*n + 2 + 9*n) to g*n + r and give r.
58
Rearrange 191*n + 197*n + 197*n - 807*n + 205*n - 95 to z + q*n and give q.
-17
Rearrange (k - 6*k + k)*(k - k + 2*k**2 + (13*k - 2*k + 0*k)*(-16*k + 5*k - 31*k)) to b*k + i*k**3 + c*k**2 + m and give i.
1840
Express 2*n - 2*n - 2*n**2 + (-173*n + 66*n + 9*n)*(-4 - 2*n + 4) + 4*n**2 - 2*n**2 - 16*n**2 in the form o + m*n + j*n**2 and give o.
0
Rearrange (o - 2*o - o + (4 - 3 - 2)*(0*o - 4*o + 0*o))*(6 + 22 - 7)*(2 - 1 + 2) to the form y + g*o and give g.
126
Rearrange -1748*i**2 + 73 + 78 - 151 to the form y*i + d*i**2 + v and give d.
-1748
Express x**4 - 6*x**4 + 2*x**4 + (-62*x - 55*x + 118*x + 1)*(1 - x**3 + 5 - 2) as z + c*x**2 + g*x + v*x**4 + h*x**3 and give h.
-1
Rearrange -1 - 2*c**3 + c**3 - 39*c + 27*c + 9*c + 2*c**2 - 3*c**4 to f*c**2 + g*c**4 + p*c**3 + s + t*c and give g.
-3
Rearrange -55*z + 2200 - 25*z + 81*z to n*z + f and give n.
1
Express -1468*p - 406*p**3 - 1488*p + 2956*p + 5*p**2 in the form o*p + m + y*p**2 + c*p**3 and give c.
-406
Express (0 - 2 + 4)*(-53*r + 53*r - 4*r**2 + (19*r - 11 + 11)*(-2 + r + 2)) in the form y*r**2 + n*r + v and give y.
30
Express 2*z**2 + 30 + 2*z**3 + 109113*z - 109113*z + (-3 - 6 - 2)*(-2*z**3 - 2*z**2 + 0*z**2 + 0*z**3) as b*z**2 + h*z**3 + q*z + x and give x.
30
Express (-7*j**3 - 7*j**3 + 3*j**3)*(0 + 0 - j) - 22606 + 22606 - 14*j + 3*j**4 in the form q*j**2 + o + g*j + k*j**3 + a*j**4 and give g.
-14
Rearrange -26834*n + 3076*n - 12386*n - 6920*n to the form q*n + h and give q.
-43064
Express (-w + 2*w + 0*w)*(-156 - 8*w + 50 + 388 - 15*w + 478) in the form u + l*w + t*w**2 and give l.
760
Rearrange 9*i + 0*i**3 - 3*i**3 + 14*i + 31*i**2 - 15*i to x + m*i + c*i**3 + n*i**2 and give n.
31
Express (154 - 465 - 2647)*(-p**2 - 2*p**2 + 5*p**2)*(-3*p + 4*p - 3*p) in the form k*p + q*p**3 + n + x*p**2 and give q.
11832
Rearrange 1736*o - 915*o - 149 - 812*o to the form c*o + s and give c.
9
Express -4*s - 12*s**2 - 1120 + 2289 - 1145 in the form g*s**2 + h + k*s and give h.
24
Express (29 + 3 + 1)*(4*b - 3*b + b)*(32*b + 57*b - 24*b + 2*b + 0 + 0 + (-b - 1 + 1)*(2 - 1 - 2) - 3*b - b + 5*b) as q*b + h*b**2 + r and give h.
4554
Express -2749 + 8183 - 2631 + 4*j - 2634 as v*j + t and give v.
4
Express (5 + 0 - 3)*(-g - 1 + 1) - 2 + 2 - g + 3*g - 3*g - g - g + 4*g - 2*g - 2 + g + 2 + (1 - 6 + 1)*(-18*g - 353*g - 461*g) as b*g + l and give b.
3326
Rearrange -1975*o + 410*o + 822*o to the form u + l*o and give l.
-743
Express 67*g + 341*g**2 - 359*g**2 + 5*g**3 - 70*g as i*g**2 + f*g + a + t*g**3 and give f.
-3
Express 31 - 17 - 10 - 4 + 4454*p as n + q*p and give q.
4454
Express -26*m + 5*m**3 + 54*m - 157*m - 143*m in the form j*m + c + y*m**3 + h*m**2 and give y.
5
Express (-112 + 227 + 22*a - 116)*((62 - 148 + 59)*(-3 + 1 + 0) - 1 + 4 - 1) as t + q*a and give q.
1232
Express (-2*z + 2*z + 2*z)*(-187 - 317*z**2 + 325*z**2 + 333)*(-4*z + z + 0*z) as v*z**2 + r*z + c*z**4 + d + l*z**3 and give v.
-876
Rearrange (-4 - 2*o + 4)*(0 - 3 + 4) - 8*o + 4 + 14*o - 21*o + 78 + 13*o - 78 to the form y*o + d and give y.
-4
Express 68363*f + 25 - 32 - 70135*f + (-3 + 3 + 1)*(-f + 2*f + 0*f) in the form v*f + o and give v.
-1771
Express -19 - 363*y - 4 + 168*y - 6 + 143*y in the form b*y + n and give n.
-29
Rearrange (-110 - 2785 + 94)*(h**2 + 21*h - 21*h) to a*h + b*h**2 + t and give b.
-2801
Rearrange 2 + 4075*m + 4241*m - 7691*m to u*m + f and give f.
2
Rearrange -27*b - 11*b + 19*b + (33*b + 16*b - 6*b)*(1 - 3 - 3) - 5*b + 0*b + 3*b to w*b + i and give w.
-236
Express 59 + 722 - 47 + 161 - 2*f in the form r + u*f and give u.
-2
Express -115*x**2 - 4*x**3 - 2566*x + 2573*x + 112*x**2 in the form m*x**2 + z*x + n + j*x**3 and give j.
-4
Rearrange -366*y - 385*y - 987*y - 2 - y + 2 + (2 + 0 - 4)*(1 - y - 1) - 2 + 2 - 3*y to the form t + d*y and give d.
-1740
Rearrange -5704*m + 767*m - 1157*m + 97*m to the form y*m + v and give v.
0
Rearrange (0 - 2 + 3)*(3*m**2 - m**2 - 4*m**2) + 87*m**2 + 20343*m - 20343*m to b*m + h + i*m**2 and give i.
85
Express -4*f + 129*f + 3 - 601*f**2 - 5 + 612*f**2 as p + q*f + z*f**2 and give q.
125
Express 2804*w**3 - 2*w + 0*w**2 + 2837*w**3 - 5636*w**3 - 1 - w**2 as h*w**3 + y*w + v + z*w**2 and give z.
-1
Rearrange (2672 - 3*s - 2644 + 7*s - s**2)*(-4 + 1 + 2)*(-2 - 3 + 4)*(-36*s + 10*s - 57*s) to r*s**3 + q*s + n*s**2 + m and give q.
-2324
Express (-3*v - v + 6*v)*(0*v - 7*v + 4*v)*(-630*v - 627*v - 886*v + 105*v) in the form a*v**3 + x*v**2 + k*v + j and give a.
12228
Rearrange 2397*k + 288 + 289 + 293 - 1158 + 291 to n*k + a and give a.
3
Express 576 - 553 - 2*q - 2*q + (-2 + 2 + 2*q)*(-1 + 5 - 5) - 3 + 3*q + 1 + 10*q in the form d + o*q and give o.
7
Express (7*h + 0*h - 5*h)*(1411*h**3 - 91*h**2 - 705*h**3 - 708*h**3) as f*h**3 + i + r*h**2 + z*h**4 + j*h and give f.
-182
Express -72*h - 105*h + 78*h + (-2 + 24 - 4)*(3*h - 2*h - 2*h) as o*h + z and give o.
-117
Rearrange (-1 + 3 - 6)*(4*x + x - 6*x) - 4*x + 0*x - 11*x + (0 - 1 - 1)*(-12*x + 17*x + 13*x) to the form c*x + h and give c.
-47
Rearrange -791*g + 27*g**2 + 1534*g - 2 - 735*g to the form d + b*g + c*g**2 and give d.
-2
Express (-203 - 205 + 318)*(-3*a + 104*a**2 - 5*a - 4*a + 12*a) in the form m*a**2 + l + k*a and give m.
-9360
Express (-10*d - 4 - 2 + 14*d)*(d + 4*d - 3*d)*(60*d**2 + 6 - 6) as b + a*d + k*d**2 + z*d**3 + r*d**4 and give r.
480
Rearrange -464*o + 464*o - 41*o**2 - 328*o**3 to the form x*o + p*o**2 + i*o**3 + j and give i.
-328
Express 0 + 20044*r - 7 - 20043*r - 261*r**3 in the form z + l*r**3 + h*r + w*r**2 and give z.
-7
Rearrange 3427*r + 2612*r + 2884*r - 1732*r + 586*r to t*r + p and give t.
7777
Express 4831*b**2 - 15129*b**2 - 14776*b**2 + 1894*b**2 in the form g*b + r + j*b**2 and give j.
-23180
Rearrange 5187 - 13*n**2 - 5*n**2 + 5173 - 10363 - 39*n**3 to s*n + r*n**3 + f + z*n**2 and give z.
-18
Rearrange (38*h - 37*h + 3*h - 92)*(5*h + 6 - 6)*(-2*h - 2*h + 3*h)*(-1 - 3 + 2) to the form a + d*h**3 + u*h**2 + r*h and give u.
-920
Express ((2 + 2 - 3)*(-1 - 2 + 2) + 0 + 1 + 1)*(-3*d**2 + 4*d**2 - 16*d**2 - 6) as v + l*d**2 + w*d and give l.
-15
Express (6 + 0 - 4)*((1 - 1 + 2)*(-2*x - 2*x + 3*x) + x + 1 - 1 + 0*x - 2*x - 6*x) + (-4*x - 2 + 2)*(-15 - 4 - 9) as b + f*x and give f.
94
Rearrange (-4*g + 3*g - 4*g)*(-2627 + 2622 + g + 24*g) + (g - g - 2*g**2)*(-17 - 15 + 30) to the form s*g + q*g**2 + c and give c.
0
Rearrange -8 - 6 + 16 + 142*k + 4*k - k - k + (0*k - 4*k - 2*k)*(9 - 5 - 1) - k + 3*k - k to the form j + l*k and give l.
127
Rearrange -513*j**2 + 1536*j**2 - 2*j**4 + j**4 - 4*j + 23 - 513*j**2 - 507*j**2 to l*j**2 + g*j + f*j**4 + p + a*j**3 and give f.
-1
Rearrange (-c + 7 - 11 + 2)*(-47 - 240 - 29) to the form v*c + k and give k.
632
Express (y**4 + 0*y**4 - 3*y**4)*(-4298 + 353 - 2090 + 916) as s + l*y**4 + g*y + i*y**2 + j*y**3 and give l.
10238
Express (m - 2*m + 3*m + (2 - 3 + 8)*(3 + 3*m - 3))*(5*m - 47*m + 80*m) in the form l*m + v + f*m**2 and give f.
874
Express (-1 - 4 + 2)*(-10*h + 6*h + 3*h) + (-2 - 1 + 5)*(5*h + 19*h + 11*h) as n*h + o and give n.
73
Express (3 + 2*j**2 - 3)*((10 + 4 + 2)*(-22*j + 3*j + 11*j) + 0*j + 5*j + 0*j) as s*j**2 + a*j**3 + q*j + g and give s.
0
Rearrange -34106*n + 274380 - 274380 to z + f*n and give f.
-34106
Express 17*t**3 + 2*t**2 - 35 - 24*t + 49*t - 24*t - 8*t**3 - 6*t**3 as i + o*t**3 + p*t + x*t**2 and give o.
3
Rearrange (-1 + 4 - 2)*(-31 - 41 + 29)*((-2*j**3 - 2*j**3 + 3*j**3)*(-5 + 5 - 2) + 5*j**3 + 27*j**3 + 28*j**3) to f*j + z*j**2 + n + v*j**3 and give v.
-2666
Rearrange (2 + 56*q - 125*q + 55*q)*(-333 + 2*q**2 + 333) - 1 + 1 + 3*q**3 to a*q**3 + n*q + p + f*q**2 and give f.
4
Express -7*w + 7 - 2*w**2 + 108*w**3 + 9*w - 86*w**3 in the form h*w**2 + m*w + b*w**3 + c and give m.
2
Express 19*g**2 + 258*g - 123 + 120 - 17*g**2 - g**4 + 3*g**4 as t + p*g**4 + n*g**2 + v*g**3 + a*g and give n.
2
Express (-724*c**2 - 3996*c**2 - 5938*c**2)*(-2 + 2 + 1) as u*c + m*c**2 + i and give m.
-10658
Express -3*m**3 + m**3 + 3*m**3 + (-452*m - 37*m**2 + 452*m)*(6*m + 5*m - 8*m) in the form d +
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 and give f.
-3
Rearrange 6*q**2 - 8246*q + 8248*q - 7*q**2 + 800 to the form u*q + b + y*q**2 and give y.
-1
Express 188*l**3 - 13*l**2 + 19*l**2 - 1 - 9*l - 7*l**2 + 16*l as i + b*l**3 + w*l**2 + n*l and give n.
7
Rearrange (89 + 123 + 51 + 18 + 37)*(371 - 371 + 12*v) to b + o*v and give o.
3816
Express (-417 + 417 + 4*c)*(c - 5*c + 2*c + c - 2 + 2 + (4*c - c - c)*(5 - 1 - 3) - 6 + 6 - 14*c) in the form h*c**2 + r*c + d and give h.
-52
Express -8145*i**4 - 2479*i**4 - 894*i**4 + (1 - 1 - 2*i**2)*(i**2 + i**2 + 0*i**2) - 2*i**4 + 0*i**2 + 0*i**2 as s*i**3 + l + j*i + p*i**4 + q*i**2 and give p.
-11524
Express -45082 - 45076 + 90141 - 102*v as h*v + b and give h.
-102
Rearrange 9*t + 1 - 5928*t**2 + 11836*t**2 - 5935*t**2 to w*t + p + v*t**2 and give v.
-27
Rearrange (-3 + k + 3)*(2 - 3 - 3)*(-k**2 + 2*k**2 + 0*k**2 - 7132*k + 7132*k - 318*k**2 + (-3*k + 2 - 2)*(-k + 1 - 1)) to b + s*k**3 + c*k**2 + m*k and give b.
0
Rearrange 10383 + 6916*n + 12267 - 6915*n - 3212 to the form p*n + c and give p.
1
Rearrange -6847 + 3424 - 3159*m + 3423 to i + x*m and give x.
-3159
Rearrange -8 + 23*g - 4 + 31*g + 22*g + 10*g to v*g + a and give v.
86
Express (3*n - 3*n + n)*(63*n**2 + 2*n**2 + 9*n**2) + 3 - 1616*n + 1616*n + n**3 + 2*n**2 as k + v*n**3 + c*n + f*n**2 and give v.
75
Express 3*u + 1150*u**3 + 5*u - 1 - 2559*u**3 - 5*u + 856*u**3 in the form i*u**2 + c*u + n + f*u**3 and give c.
3
Rearrange -33*o - 3*o**3 - 2*o**3 - 31*o - 27*o + 92*o to t + f*o**2 + y*o**3 + q*o and give q.
1
Rearrange ((-2*p - 1 + 1)*(-1 + 5 - 2) + p + p - 5*p)*(-5 + 3 + 1)*(-7 + 42 + 6) to the form y*p + s and give y.
287
Rearrange (-3 + 4 - 3)*(35 + 24 - 7)*(5 - 4 + 2)*(8 + 2*t - 8) to the form g + l*t and give l.
-624
Express 1021*z**3 - 3609*z**3 - 10304*z**3 + (0 + 0 + z)*(z**2 + 4*z**2 - 4*z**2) as n*z**2 + u + b*z**3 + a*z and give b.
-12891
Express (3*v**3 - 164*v**2 + 163*v**2 + 11*v**3)*(23691 - 23691 + 212*v) as m*v + p*v**4 + t + x*v**2 + b*v**3 and give p.
2968
Rearrange 43 + 2*i**3 - 81 + 10*i - 24*i**2 + 26*i**2 + 33 to the form h*i + g*i**2 + p + x*i**3 and give g.
2
Express (-152369 + 152369 + 8840*l)*(5*l**2 - 5*l**2 + l**2) as p*l**3 + t*l + c*l**2 + u and give t.
0
Rearrange (-10*s - 11*s + 18*s)*(2 + 1 + 0) + (0 + 0 - 3*s)*(3 + 3 - 2) to r*s + f and give r.
-21
Rearrange (x**2 - x**2 - 4*x**2)*(125 - 77 - 76 + 1 - 3 + 3 + (3 - 2 - 2)*(4 + 2 - 5)) - 3*x**2 + 4*x**2 - 4*x**2 to the form a + i*x + p*x**2 and give a.
0
Express 11916*w - 11916*w - 5331*w**2 as q*w**2 + t*w + i and give t.
0
Express 4*d - 3*d - 3*d + (-15 + 14 + 12)*(1 - 2*d - 1) + (20*d - 5*d + 15*d)*(3 - 4 + 2) as x + y*d and give x.
0
Rearrange 93 + 350*k**2 + 3*k - 351*k**2 - 92 + 359 + 137 to the form m*k + g + f*k**2 and give m.
3
Express 15*h**2 + 3*h**2 - 2*h**2 + (-22 + 17 + 30)*(h - h + 2*h)*(-15 + h + 15) as r*h + s + y*h**2 and give s.
0
Express -10*h + 7 + 5*h - 5945*h**2 + 14*h + 5921*h**2 in the form n*h**2 + a*h + v and give n.
-24
Express 4*d - 36*d**2 - 11*d - 86*d**2 + 21*d**2 as i*d**2 + h + x*d and give i.
-101
Rearrange -5*m**2 + 0*m**2 + m**2 + (2228*m - 1245*m - 1376*m)*(3 + 3*m - 3) to a*m**2 + v*m + u and give a.
-1183
Rearrange 3 - 2*o**2 - 3*o**4 - 3 + (-481*o**3 + 705*o**3 - 346*o**3)*(-3*o - 2 + 2) + 1 - 1 - 2*o + 2*o**4 to j + a*o**4 + r*o**2 + z*o + u*o**3 and give z.
-2
Express -1056*z - 2419*z + 175 - 175 as p*z + m and give p.
-3475
Express -19 - 99*h**2 - 455070*h + 455070*h as n*h + x + c*h**2 and give c.
-99
Rearrange (6*r**2 - 5*r**2 - 2*r**2)*(-38744 + 4421 + 3089) to the form h + v*r + u*r**2 and give u.
31234
Rearrange 4*p**2 + 4*p**2 - 7*p**2 + 761 - 30 to f*p**2 + c + t*p and give t.
0
Rearrange 929*b**2 + 2308*b + 1735*b**2 - 2308*b to j*b**2 + f*b + x and give j.
2664
Express (-28 - 29 - 12 - 777*f + 80)*(0 - 2*f**2 + 0) in the form c*f**2 + o + j*f**3 + x*f and give c.
-22
Rearrange (-1965*z + 1965*z + 46*z**3)*(79*z + 76*z - 112*z) to n + y*z**2 + p*z**4 + f*z + d*z**3 and give p.
1978
Rearrange (-32 + 156 + 4)*(23 - 23 - 6*d + (2 - 2 + d)*(2 + 0 - 1) + 0*d - d + 3*d + 1 - 1 + 2*d) to k + a*d and give a.
-128
Rearrange (2*c + 68606 + 602*c**2 - 137248 + 68627)*(-2 - 1 - 1) to the form k + y*c + t*c**2 and give k.
60
Express 9 - 9 - 2239*b - 1108*b + 952*b as a + h*b and give h.
-2395
Rearrange -2499*s**3 + 18278 + 18278 - 2*s**2 - 36558 to p + h*s**2 + y*s**3 + f*s and give h.
-2
Rearrange 2*k**3 - 2*k**4 + 84*k - 313*k - 39 + 228*k to the form x*k**4 + g*k + t*k**3 + z + r*k**2 and give x.
-2
Rearrange -49*z**2 + 5*z**2 - 12*z**2 - 62*z**2 - 12*z - 39*z**2 to the form p + j*z**2 + r*z and give j.
-157
Express (1 - 2 + 0 + 2*h)*(-36 + 861407*h**2 - 861404*h**2 - 246) as u*h**3 + q + z*h + i*h**2 and give u.
6
Express 37792 - 12*m - 37736 + 4*m as a*m + s and give s.
56
Express -307 + 1561*x - 305 + 227 + 385 as b + h*x and give h.
1561
Express (-16 - 476 - 107)*(4 - 14 - 14)*(4*m + 6 - 6) as y + d*m and give d.
57504
Rearrange -3 + 1044*j**2 - 30*j**3 - 9*j**3 + 2608*j**2 + 16*j**3 + 24*j**3 to w*j**2 + m*j**3 + t*j + o and give m.
1
Express 152*x**3 - x**2 - 19*x**3 - 3 + 16*x**3 + 3 in the form j*x**2 + b*x**3 + n + w*x and give b.
149
Rearrange (0*z + 0*z - 2*z)*(4*z - 4*z - z) + (121 - 3*z - 121)*(-312*z - 899*z + 75*z) to g*z + w + v*z**2 and give v.
3410
Express (-f + f**2 + f + (0 + 1 + 0)*(-f + f + 6*f**2))*(446 - 456 + 924) as p*f**2 + w + v*f and give p.
6398
Express 182*h**3 + 107*h**3 + 33*h**3 + (-10 + 7*h - 9*h + 0*h)*(-10*h**2 + 21 - 21) as s*h**2 + z*h**3 + j + y*h and give y.
0
Rearrange q**3 + 956*q - 1907*q + 951*q + 211*q**2 to the form v + o*q**3 + t*q**2 + w*q and give w.
0
Rearrange -24*b**2 + 4*b + 61*b**2 - 2 + 22*b**2 + 5*b**2 + 4*b**2 to q + l*b + s*b**2 and give q.
-2
Express -2*u**2 - 5*u**2 + 5*u**2 + (14*u + 15*u - 10*u)*(-8*u + 93*u + 20*u) + 4 - 4 - u**2 as f*u + w + m*u**2 and give m.
1992
Express -33268*n + 33268*n - 7*n**2 - n**2 + 69 as y + w*n**2 + d*n and give y.
69
Express 7782 - 26*u**2 + 32*u**2 - 7900 as j*u**2 + m*u + r and give m.
0
Express 2*q + 4*q - 2*q - 4 + 3*q - 3*q - 5*q + (-2 - 1 - 2)*(3*q - 3 + 3) - 2*q + q + 3*q in the form y + v*q and give y.
-4
Rearrange 0*r**2 + 4*r**3 + r**2 + 13819 - 13829 to the form l*r**3 + w + h*r + b*r**2 and give h.
0
Rearrange k + 18*k**3 + 2993*k**2 - k - 21*k**3 - 2995*k**2 - 1051 to the form b*k + j*k**2 + u*k**3 + o and give j.
-2
Express -1 - 8816*q**2 + 1 - 244*q**2 - 5662*q**2 as l*q**2 + s*q + v and give l.
-14722
Rearrange -11*x**2 + 11297 - 11297 to the form y + t*x + b*x**2 and give b.
-11
Rearrange g**2 - 2*g**2 - 5*g**2 + (5 - 5 + 2)*(10*g**2 + 5*g**2 - 4*g**2) + g**2 - 2*g**2 + 8*g**2 to the form t*g**2 + d*g + w and give t.
23
Rearrange (4808 - 2392 - 243*w - 2412)*(2 - 6 + 1) to c + a*w and give c.
-12
Rearrange -4613*b + 4560*b - 4*b**2 - 2 + 0*b**2 + b**3 + 0*b**3 + 5*b**2 to the form l*b**3 + j + i*b**2 + z*b and give j.
-2
Express 6*i**3 + 972*i - 970*i + 620 - 5*i**3 + 2*i**4 in the form z*i + g + h*i**4 + p*i**2 + a*i**3 and give z.
2
Express (-2 + 3*w + 7*w + 2*w)*(19*w - 31*w + 25*w) + (0 - 1 - 1)*(-6*w**2 + 2*w**2 + 3*w**2) in the form l*w**2 + q*w + j and give l.
158
Rearrange (0*h + 2*h - 5*h)*(1093 + 3809 - 6734 - 7374 - 3445) to k + w*h and give w.
37953
Express (-4*v**3 - 3*v**3 + 5*v**3)*(0 + 3 - 5) + (-2 - 3 + 4)*(13 + 9 - 20 - 4*v)*(6 + 6*v**2 - 6) in the form i + s*v**2 + f*v + d*v**3 and give s.
-12
Rearrange (1925 + 671 - 1429)*(18 - 18 + 6*a) to w*a + b and give w.
7002
Express -334*l - 2796*l - 638*l as d*l + q and give d.
-3768
Express 137*x - 136*x - 4*x**2 + 57*x**4 + 0*x**2 in the form p + k*x**2 + o*x + y*x**4 + m*x**3 and give o.
1
Rearrange (-3*s + 19*s - 3*s)*(-29*s + 99*s + 197*s) to c*s**2 + t*s + b and give c.
3471
Express 1033*r - 2 - 2 - 2*r**2 + 4 as a*r + p*r**2 + j and give j.
0
Rearrange (2 + 11 - 4)*(-18*k - 24*k + 18*k) to the form m + w*k and give w.
-216
Express 1948*y**2 + 1934*y**2 - 2*y**4 - 5825*y**2 + 1943*y**2 + 422*y**3 + 3*y in the form r*y + t*y**2 + s + g*y**4 + b*y**3 and give g.
-2
Rearrange -433*r**2 - 540*r**2 - 493*r**2 + 1353*r**2 to the form j + x*r + w*r**2 and give w.
-113
Express -36*b + 17*b**2 + 81*b + 72*b**3 - 18*b**2 + 133*b - 71*b**3 as z*b**3 + q*b + y*b**2 + t and give y.
|
{
"pile_set_name": "DM Mathematics"
}
|
t a = l - -92. Let s be 2/(a/(-105)) - (1 + 0). Which is smaller: s or 1?
s
Let c be ((-9548)/(-49))/(2/7). Let d = c - 749. Is -67 smaller than d?
False
Let f = 9.444 + -9.49. Let h = 5.8 + -6. Is h greater than f?
False
Let j = 4/125 - -424/2375. Let f be (-330)/264 - 434/(-8). Suppose 47*y - 6 = f*y. Is j < y?
False
Let g(s) = 4*s + 13. Let l(m) = -12*m - 40. Let c = 22 - 29. Let b(k) = c*g(k) - 2*l(k). Let d be b(-4). Which is smaller: d or 3?
3
Let m = -657 - -2643/4. Let b = -5/4 + m. Which is smaller: -5 or b?
-5
Let u = 6715 + -6702. Let p(q) = -q**3 + 8*q**2 - 5*q. Let y be p(7). Suppose 1 = z - y. Is u > z?
False
Let g = -157949/5 + 1086173/35. Which is smaller: g or -557?
-557
Let z = -17916 - -10075. Let q = 1262395/161 + z. Which is greater: 1 or q?
1
Let j be 1120/(-210) + (-5)/3. Is -111/16 < j?
False
Let y = -67 - -86. Let w = -88 - y. Let s = w - -107. Which is smaller: s or -0.7?
-0.7
Suppose 0*w - 4*w = 4*p + 8, 5*w - 20 = 5*p. Let s = 169531/5334 - 445/14. Is w at most as big as s?
False
Let g = 28910 - 28489. Is 4/3 > g?
False
Let q = 14511/10568 - -5/2642. Let c = 0 + 3. Suppose -7*y + 4 = -c*y. Which is smaller: y or q?
y
Let x be (-4)/(-22) + 3173/(-209). Let l(s) = -4*s**2 + 2*s + 1. Let b be l(2). Let m = b - x. Is 4 less than m?
False
Let y = 70 - 87.18. Let i = y - 1.92. Let q = i + -5.9. Is -2/7 <= q?
False
Let h = 2/1891 + 77523/7564. Let r = -3.7 + 1.7. Is h at least as big as r?
True
Let m be 522/(-890) - ((-468)/(-65))/(-12). Is m greater than or equal to 1?
False
Let i = -5367.19 - -5341. Let u = 0.19 + i. Let s = 0.04 - 0.14. Which is bigger: s or u?
s
Let o be (-174)/42*19/179. Let i = o - -2/179. Is -7.4 greater than or equal to i?
False
Let y be ((-154)/(-66))/((-1)/3). Let m be (108/63)/(1/y). Let g be (-1)/(((-5)/15)/((-2)/m)). Which is smaller: g or 22?
g
Let y be (-2)/((-5)/(-255)*-3). Let z = -1851 + 1886. Which is smaller: y or z?
y
Suppose -3*d = -3*y - 6*d + 18, -2 = 3*y - 2*d. Suppose s = -1, s = 4*m - 79 + 238. Let g be y + m/18 - 2047/(-8280). Is g less than -1?
False
Suppose 4*g - 28 = 3*u, -5*g + 67 = 4*u + 32. Suppose 2*j + 46 + 18 = 0. Is j > u?
False
Let n be 0 - (6/12)/(9654/36). Which is smaller: n or -1?
-1
Let x = -1914/59 + -5593/295. Let h = 25 + -76. Is x equal to h?
False
Let y = -2116 - -2115. Which is greater: y or -123/68?
y
Let k = 0 + 0. Let r be (12/10)/((759/220)/(-23)). Is k != r?
True
Let z = 23952 + -21118. Which is smaller: z or 2837?
z
Let a = 88.16 + -89. Let t = 1.73 + a. Let d = -1.29 + t. Is 6 > d?
True
Let m be (-3795)/2550 + (-5)/(10/(-4)) - 1. Which is smaller: 1 or m?
m
Let b(k) = -k**3 - 4*k**2 - 2*k + 4. Let d be b(-3). Let g be (-30004)/35256 - 5/(-6). Which is bigger: d or g?
d
Suppose 0 = 23*b + 13*b - 612. Suppose 2*x = -w + 8, -12 = -5*x + 2*x + 4*w. Let o be (9/x)/(1/8). Which is smaller: o or b?
b
Suppose 4*q = 2*r + 10, -4*q - 8*r = -4*r + 20. Which is bigger: q or 1/3436?
1/3436
Suppose h - 2*h + 17 = 4*f, 0 = -5*h + 5*f + 10. Let b be (h/45*3)/((-8)/126). Which is smaller: -5 or b?
b
Let i(v) = -2*v**2 - 135*v - 138. Let f be i(-1). Is -101/28 at least as big as f?
True
Let j(p) = -p**3 - 9*p**2 - 5*p - 9. Let y be j(-6). Let l = -783/2 + 913/3. Let t = y - l. Is t != -0.12?
True
Let x = -7 + 14. Suppose -x = -3*c - u + 2*u, 0 = 2*u - 10. Suppose -3*g + c = 4. Is 5.8 at most g?
False
Let g = 6443713/10 - 642605. Let h = 1770 - g. Let q = -16/5 + h. Is -8 at most as big as q?
True
Let z = -7.97 + 765.97. Let v = z + -753. Are -1/9 and v nonequal?
True
Suppose 25*u + 5*x = 22*u - 55, -3*u = -x + 25. Let k(l) = -l**2 - 21*l - 125. Let w be k(u). Which is greater: w or -164/11?
-164/11
Let z = 3/45634 + -53756897/684510. Which is bigger: -79 or z?
z
Let k = 9 + -6. Let z(c) = 2*c**2 + 62*c + 66. Let j be z(-30). Suppose -k*l = x + 2*x - j, -2 = x - l. Which is smaller: x or -1?
-1
Let x(j) = j**3 - 26*j**2 - 83*j + 66. Let c be x(29). Suppose 0 = 5*z, -z - 910 = -2*u - 3*u. Is c at most u?
True
Let w = 12973 - 16186. Which is smaller: w or -3212?
w
Let q be (-1682)/26 + -5*4. Is q equal to -84?
False
Let o = -250 + 5946. Which is smaller: 0 or o?
0
Let m(t) = 10*t + 144. Let p be m(-14). Suppose -3*r + 152 = -p*l, -5*r + 109 - 6 = -3*l. Which is greater: l or 2?
2
Let n = -0.22836 + 1491.92836. Is 0 >= n?
False
Let i = -56 + 54.7. Let x = -71.7 + i. Does 2/7 = x?
False
Let p = -0.1 + 0.2. Let s = -169032 - -168822. Which is greater: s or p?
p
Let j = 0.108 + -0.016. Let s = 14.092 - j. Are s and -0.1 equal?
False
Suppose -18 = -j + 3*j + 4*g, -2*j = g + 21. Let m = 34 - 45. Let a = j - m. Is a at most as big as 1/14?
True
Suppose -14*a = 19*a - 2*a + 10230. Which is smaller: -296 or a?
a
Suppose 2 = -84*y + 85*y. Let i be (5 - 19/y)*(-1)/(-228). Is i >= 1?
False
Suppose k = 7 - 2. Let b be (k + -3 + 0)*(-2)/(-4). Which is smaller: b or 5/12?
5/12
Let z = 3829.15 + -3711. Let y = 0.15 - z. Which is greater: 1 or y?
1
Suppose -3*j = -52 + 28. Let q be (-1235)/(-4108) - 2/j. Suppose -2*u = 7*u. Is u greater than q?
False
Let l(w) be the first derivative of -w**4/4 + w**3 + w**2/2 + 19. Let p be l(3). Suppose 0 = p*s + j - 47, 4*s - j - 38 = 2*s. Are 17 and s equal?
True
Let i = 1018 - 406. Let b = i - 1879/3. Which is smaller: b or -14?
b
Suppose 0 = 4*x - w - 2*w - 26, -3*x + 3*w + 21 = 0. Suppose x*u - 32 = u. Suppose 0 = -11*g - 2*g + 91. Which is greater: g or u?
u
Let s = 157 + -155. Let l be (-57)/(-9) + ((-4)/3)/s. Is 5 at most l?
True
Let s = 2607.53 + -2595. Let o = -0.567 + 0.097. Let c = s - o. Which is greater: c or 0.2?
c
Let z be 10/668*(-32)/40. Is z greater than 0?
False
Suppose -169*f + 166*f - 14 = 5*u, -6*f + 3*u = 15. Let h = 23 - 39. Let c = -16.26 - h. Which is smaller: f or c?
f
Let w = -29765 + 29766.7223. Is w < 2/3?
False
Let l = 263 - 268. Let r be 79/(-44) - l*6/15. Is r less than 1?
True
Let w(s) = 3*s**2 - s - 28. Let g be w(-7). Let l be (27/(-12))/(g/624). Suppose 0 = -2*a + 8, -7*y + 4*y + a - 40 = 0. Is y greater than or equal to l?
False
Let n = -74 + 80. Let s = -6.04 + n. Let d = 11 - 12. Which is smaller: d or s?
d
Let h = -352/13 - -65785/2431. Is h greater than or equal to 0?
False
Suppose 14*u - 6*u = 2*f + 4834, 0 = 4*u - 5*f - 2421. Is u greater than 604?
False
Let k = 14 + 34. Suppose -9*r - 11*r - 1000 = 0. Let w = k + r. Is 0 bigger than w?
True
Let l = -325 + 309. Let k be -14*6/l - (-55 + 60). Is -2 >= k?
False
Let r = -0.78 - -6.08. Let k = 26.7 + r. Let o = 31 - k. Are o and -0.7 equal?
False
Suppose 1266 = -2*d + 6*d - 3*l, -2*l - 1579 = -5*d. Let s = d - 360. Which is bigger: -44 or s?
-44
Let b be 8835/(-6) + 161/46. Which is smaller: b or -10280/7?
b
Let z be 1 - 9/(63/(-28)). Suppose -5*w - 2*b - b + 86 = 0, -z*b = 4*w - 74. Which is greater: w or 17?
17
Let a = -393201/5 + 78643. Let n = -6 - -8. Which is greater: a or n?
a
Let s be (-6)/8 - (-482469)/356. Which is smaller: 1 or s?
1
Let z = 25 + -55. Let x(g) = 6*g + 1065. Let n be x(0). Let v = n + -3193/3. Is v greater than or equal to z?
True
Let o(f) = 1622*f. Let x be o(0). Suppose t + t + 3*v = -221, -3*t = 4*v + 332. Let n = -1119/10 - t. Is x at most n?
True
Suppose 3*s = m - 29, 5*s = -4*m + 3*m - 11. Let k = m - 8. Suppose k*l - 32 = -2. Which is smaller: l or -4?
-4
Suppose 2*r - 21 = -1. Let g be -1*4/r - -112. Let u = -112 + g. Do -5 and u have different values?
True
Let p be 94/(-18) - (-10)/45. Suppose -2*y - y = 3*j + 492, 0 = 2*y + 4*j + 334. Let x = -171 - y. Which is smaller: p or x?
x
Let c be ((-860)/(-6))/((-78)/117). Let b be (-16)/6 + c/(-43). Is b >= 1?
True
Let j(o) = o**3 - 2*o**2 - 2*o + 1. Let n be j(4). Let q be 75/(-6)*8/((-88)/22). Is q <= n?
True
Let m be -2*((-15358)/196 - -5). Which is bigger: m or 146?
m
Suppose -f - 2 = -3*h, 3*h - 3 = 4*h - 4*f. Let b(u) = -u**3 + 8*u**2 - 7*u - 1. Let p be b(7). Let j be (1 - h) + p + 0. Which is bigger: -2/5 or j?
-2/5
Let t be (-2)/4*1*26. Let w(r) = -2*r + 2. Let v(x) = 6*x**2 - 27*x + 8. Let a(c) = v(c) - 2*w(c). Let u be a(3). Is u > t?
True
Let f = -663.43 + 4.43. Let q = f - -654. Is q < 2/35?
True
Suppose -7*r = 1528 + 474. Let s = -202 - r. Does s = 84?
True
Let t = 23727 - 23727. Let i be 58/(-26) + (5 - 3). Which is smaller: i or t?
i
Suppose 5*m - 10 = 4*p, 11*m =
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
True
Is 29167651 a prime number?
True
Is 3521482793 a prime number?
False
Is 8075720671 prime?
False
Is 2411968879 prime?
True
Is 9960571 a composite number?
True
Is 2618711279 a composite number?
False
Is 14104211635 a prime number?
False
Is 10498642201 composite?
True
Is 38640639577 a composite number?
True
Is 6826744909 a prime number?
True
Is 130046401 prime?
False
Is 13312493 a prime number?
True
Is 1203703099 a prime number?
False
Is 35044351 a prime number?
False
Is 115261663559 prime?
False
Is 7043171309 a composite number?
False
Is 110580896369 prime?
False
Is 960347671 composite?
False
Is 2333301233 a composite number?
False
Is 269645407 prime?
False
Is 105835397807 a composite number?
True
Is 5928021713 a prime number?
True
Is 1492624201 prime?
False
Is 530254453 a composite number?
True
Is 421787077 a prime number?
False
Is 4494207503 a prime number?
False
Is 584873203 a prime number?
True
Is 19636951973 prime?
True
Is 33108074941 a composite number?
True
Is 127714646687 composite?
True
Is 94373177 a prime number?
True
Is 2109498613 composite?
True
Is 517993885 a composite number?
True
Is 133192299241 prime?
True
Is 316949993 a composite number?
False
Is 3063890647 prime?
True
Is 785391641 a composite number?
False
Is 8778421 composite?
False
Is 134184683837 prime?
False
Is 506911073 a prime number?
True
Is 2256592781 prime?
True
Is 3935085043 composite?
True
Is 3607504619 composite?
True
Is 421728859 a composite number?
False
Is 4024592197 composite?
False
Is 3273976833 a prime number?
False
Is 24323917601 prime?
True
Is 4447243803 a composite number?
True
Is 2027013649 composite?
True
Is 8148325849 a composite number?
True
Is 105535906171 a composite number?
True
Is 14939066741 a prime number?
True
Is 13025210113 prime?
True
Is 19436713 a prime number?
True
Is 22415460043 prime?
True
Is 2040235667 a composite number?
False
Is 577562237 prime?
False
Is 682378133 composite?
False
Is 8133511979 composite?
True
Is 1396326551 composite?
True
Is 64349112131 a prime number?
True
Is 396857561 prime?
True
Is 2043476791 prime?
False
Is 3122666351 a prime number?
False
Is 287536003 a composite number?
False
Is 2252715287 prime?
False
Is 2539601443 composite?
True
Is 1212823763 composite?
False
Is 24245147739 a prime number?
False
Is 808020029 a prime number?
True
Is 9095417 composite?
False
Is 2165155999 prime?
True
Is 2390011891 a prime number?
False
Is 17052648001 a composite number?
True
Is 3094507189 composite?
False
Is 130608773 prime?
False
Is 10344857089 prime?
False
Is 72733347501 a composite number?
True
Is 6639116437 a composite number?
True
Is 40768267 a composite number?
False
Is 106939933 a prime number?
True
Is 85026978529 a prime number?
False
Is 1716993907 prime?
False
Is 3245649931 a composite number?
True
Is 3581865853 a prime number?
False
Is 10660719233 a prime number?
False
Is 2038700561 a composite number?
True
Is 4827550271 composite?
False
Is 9216588193 a composite number?
True
Is 225431321 a prime number?
True
Is 322897021 composite?
False
Is 2295989039 a prime number?
True
Is 137893499 a prime number?
False
Is 2012426777 a composite number?
True
Is 775871977 a prime number?
False
Is 2208958429 a prime number?
True
Is 4343533465 a prime number?
False
Is 190426289 a prime number?
False
Is 20602392841 a prime number?
False
Is 11770542253 prime?
True
Is 27791057705 composite?
True
Is 21144141509 composite?
False
Is 4762304903 composite?
False
Is 50877487319 a composite number?
False
Is 7101531601 a composite number?
True
Is 2072746561 a composite number?
False
Is 1462793543 prime?
False
Is 25985439553 composite?
False
Is 276125357 a prime number?
False
Is 3051460537 a prime number?
True
Is 446075411 composite?
True
Is 1230845017 a prime number?
True
Is 1946971241 prime?
True
Is 586181957 a composite number?
False
Is 6367158227 a composite number?
False
Is 166962726849 a composite number?
True
Is 426180071 prime?
True
Is 18788980781 composite?
True
Is 744512039 composite?
True
Is 11729285861 composite?
False
Is 12983173873 a composite number?
False
Is 6532036349 prime?
False
Is 119759365397 a composite number?
True
Is 7069181831 a composite number?
False
Is 17703736619 prime?
True
Is 1167551493 a prime number?
False
Is 4236658682 composite?
True
Is 9130044589 composite?
False
Is 1595334347 composite?
False
Is 1195061939 a prime number?
False
Is 367340977 a prime number?
False
Is 19705371031 composite?
True
Is 9170205521 composite?
True
Is 261387797 a prime number?
False
Is 3135285787 composite?
True
Is 10685861209 a composite number?
False
Is 128878895729 composite?
False
Is 21266292221 prime?
False
Is 7377125603 a composite number?
False
Is 650933993 a composite number?
True
Is 56716846337 composite?
False
Is 7460597809 a prime number?
False
Is 402838081 a composite number?
True
Is 953265185 a composite number?
True
Is 4450009793 composite?
True
Is 91661849 a composite number?
False
Is 677772941 prime?
True
Is 88322807 composite?
True
Is 274954800773 a composite number?
True
Is 1687853717 prime?
False
Is 30262129819 composite?
False
Is 5211614359 composite?
True
Is 426489431 a prime number?
False
Is 10407876343 prime?
False
Is 584256889 a composite number?
False
Is 14847615389 a prime number?
True
Is 1823699117 a prime number?
True
Is 408414317 composite?
True
Is 211656505 prime?
False
Is 4701977851 a composite number?
True
Is 22474618109 prime?
True
Is 858196081 composite?
False
Is 32137296337 a composite number?
False
Is 317885803 a composite number?
False
Is 782538919 a prime number?
False
Is 1883010169 a composite number?
False
Is 1802380301 prime?
False
Is 1115764557 prime?
False
Is 4303669847 composite?
False
Is 819498083 prime?
True
Is 1351224149 a composite number?
True
Is 248643541 composite?
False
Is 8099105689 prime?
False
Is 1228056215 a prime number?
False
Is 1024425353291 prime?
True
Is 454228447 a prime number?
False
Is 14557421777 a prime number?
True
Is 203184788683 composite?
False
Is 118864919 a prime number?
True
Is 301990609 composite?
True
Is 34666449955 a composite number?
True
Is 91266887 a composite number?
True
Is 2973199 composite?
False
Is 11128860179 a prime number?
True
Is 1644396185 prime?
False
Is 175802919 prime?
False
Is 142076089 a composite number?
True
Is 91204851679 a prime number?
False
Is 19438574731 a prime number?
False
Is 2929282129 a composite number?
True
Is 112297067 a prime number?
True
Is 107790876241 prime?
True
Is 87155929 prime?
False
Is 197040911 prime?
True
Is 7400009263 a prime number?
False
Is 23059565547 composite?
True
Is 9264549589 composite?
False
Is 1265159921 composite?
False
Is 847599119 a prime number?
True
Is 36346816321 prime?
True
Is 2026163011 a composite number?
False
Is 5048755147 a composite number?
True
Is 48078629 composite?
False
Is 762016337 a prime number?
False
Is 1475381231 a prime number?
False
Is 6653453551 composite?
False
Is 14672649529 composite?
True
Is 8591409941 prime?
False
Is 969134189 a prime number?
False
Is 3729001259 a prime number?
True
Is 8103241693 composite?
False
Is 638635279 composite?
False
Is 13352673107 a composite number?
True
Is 855349402 prime?
False
Is 355097471 composite?
False
Is 8503990789 prime?
False
Is 16694663207 prime?
False
Is 42786504617 a prime number?
True
Is 111565591 a prime number?
True
Is 25308772003 a composite number?
False
Is 264211529 a composite number?
False
Is 45960701 composite?
False
Is 27268170843 prime?
False
Is 472098773 a composite number?
False
Is 2939228639 prime?
False
Is 31583930667 a prime number?
False
Is 461036897 prime?
True
Is 27857128361 a composite number?
False
Is 214661152099 composite?
False
Is 2753492653 composite?
True
Is 73068182299 a prime number?
False
Is 8828808553 prime?
True
Is 358017971 a prime number?
True
Is 1693924837 composite?
True
Is 492816239 prime?
False
Is 1052793211 a composite number?
True
Is 1530540341 composite?
True
Is 3084515237 prime?
True
Is 401289491 a composite number?
False
Is 6178946669 a composite number?
True
Is 1480940203 prime?
False
Is 3322427267 a composite number?
True
Is 78621551 prime?
True
Is 8176640411 a composite number?
True
Is 29153115309 composite?
True
Is 1389849089 a prime number?
True
Is 528344779 prime?
True
Is 9
|
{
"pile_set_name": "DM Mathematics"
}
|
187. Calculate the remainder when v is divided by 20.
17
Suppose 0 = -16*l + 22*l + 168. Let s = l - -49. What is the remainder when ((-124)/10)/(1/(-5)) is divided by s?
20
Suppose 2*r = 6, 7*v - 26 = 5*v - 4*r. Let u(k) = k**3 + 5*k**2 + 2*k - 1. What is the remainder when u(-3) is divided by v?
4
Let c(x) = 3*x**2 - 52*x - 6. Calculate the remainder when c(21) is divided by 34.
21
Suppose 2*d - 119 = -3*j - 18, 3*d = -2*j + 139. What is the remainder when 213 is divided by d?
41
Suppose 8 = 5*t + 3*y, 0 = 4*t - 3*t - 2*y + 1. Suppose 13*c + 130 = 39*c. What is the remainder when c is divided by t?
0
Calculate the remainder when 281 is divided by (-105)/(-10) - 9 - (-41)/2.
17
Let x = -9 - -18. Suppose 5*z - 246 + x = -l, 0 = 2*z - 5*l - 84. What is the remainder when z is divided by 12?
11
Let x = 0 + -1. Let d = x - -30. Suppose 5*y - 4*y - d = b, 3*y = 2*b + 84. What is the remainder when y is divided by 14?
12
Let r(o) = o**3 + 7*o**2 + 3*o. Let a = -25 + 21. Calculate the remainder when r(a) is divided by 19.
17
Let c = 8 - 5. Suppose 2*b = -2*k + b + 112, -c*k + 169 = 2*b. Calculate the remainder when k is divided by 29.
26
Calculate the remainder when 97 + ((-30)/3 - -15) is divided by -1 - (1 + 4*-7).
24
Suppose 0*a - m = -3*a + 32, 5*m = a - 20. Let q(p) = -20*p**3 + 7*p + 6. Calculate the remainder when q(-1) is divided by a.
9
Let c = 910 - 900. Let d = -7 + 42. Calculate the remainder when d is divided by c.
5
Suppose 4*o + 2*d + 2*d = 140, 5*o + 4*d - 180 = 0. Suppose 12 = 3*n, 4*z + n - o = 5*n. Let f = 147 - 92. Calculate the remainder when f is divided by z.
13
Suppose 49*u - 57*u + 24 = 0. What is the remainder when 227 is divided by u?
2
Let a be (10 + -5)/((3 - 4) + 2). Suppose -2*w + 30 + 45 = 5*p, 0 = -5*p - a. What is the remainder when 119 is divided by w?
39
Let o(n) be the third derivative of 5*n**4/6 - 3*n**2. Let j be o(1). What is the remainder when (44/(-10))/((-2)/j) is divided by 15?
14
Let n = -5 - -13. Suppose -n*v + 105 = 9. Calculate the remainder when 22 is divided by v.
10
Let v be -14 - -13 - (2 + -53). Let y = v + -9. What is the remainder when y is divided by 9?
5
Suppose 3*k - 24 = 3*m, -3*m = -3*k - m + 20. Let u = -1 - -3. Suppose -24 - u = -l - 2*x, -k*x - 78 = -3*l. What is the remainder when l is divided by 7?
5
Let d(g) = -g**2 + 9*g - 2. Let q(p) = 8*p. Let x be q(10). Let j = x - 33. What is the remainder when j is divided by d(7)?
11
What is the remainder when 374 is divided by 14*1*(5/10 - -1)?
17
Let w = 2 - -17. Calculate the remainder when (40 - 16)*6/4 is divided by w.
17
Let c = 20 + -11. Suppose c*m - 290 = -m. What is the remainder when 82 is divided by m?
24
Calculate the remainder when 108 is divided by (-1*(-10)/(-4))/((-15)/18).
0
Let t(p) = 82*p - 215. What is the remainder when 338 is divided by t(3)?
28
Let z = 67 + -62. Suppose o + 20 = 2*c, -5*c + 8*c - 23 = z*o. Calculate the remainder when 98 is divided by c.
10
Let s be 96/9*(-3)/2. What is the remainder when (-6)/(-2) + (-15 - s) is divided by 1?
0
Let a = -265 - -273. What is the remainder when 44 is divided by a?
4
Let h = 885 + -252. Calculate the remainder when h is divided by 53.
50
Suppose 4*m = 57 + 55. Let k = m + -16. Suppose q - 8 = 37. What is the remainder when q is divided by k?
9
Suppose -k - 100 = -5*g, 4*g - 17 - 64 = k. Calculate the remainder when g is divided by 4.
3
Let u be 0 - (4 - (0 + 6)). Let n(w) = 0*w - 2*w + 14 + 2*w + u*w. What is the remainder when n(7) is divided by 10?
8
Let l be ((-2)/2)/(2/86). Let w(r) = -34*r**2 - 5*r - 2. Let m be w(-1). Let v = m - l. Calculate the remainder when 47 is divided by v.
11
Suppose -59*u + 3*u + 120848 = 0. Calculate the remainder when u is divided by 72.
70
Let r(h) = h**3 + 5*h**2 - 24*h + 6. What is the remainder when 23 + (1 + -2)*2 is divided by r(-8)?
3
Let x(o) = -o**2 - 8*o + 7. Let u be x(-8). Suppose u*j - 2*j - 20 = 0. Calculate the remainder when 41 is divided by (-15)/(-2) - 2/j.
6
Suppose -19*v + 52 + 62 = 0. Calculate the remainder when 18 - (0 - v/3) is divided by 12.
8
Let l(t) = 17*t**2 + 2*t + 10. What is the remainder when l(-4) is divided by 11?
10
Suppose 59*v - 47*v = 1644. Calculate the remainder when v is divided by 72.
65
Let s(f) = -79*f**2 - 5*f - 3. Let l(n) = -118*n**2 - 8*n - 4. Let v(d) = 5*l(d) - 8*s(d). Calculate the remainder when v(2) is divided by 29.
27
Calculate the remainder when 18 is divided by 6/(-20) - (-5618)/1060.
3
Let h(i) = 13*i - 21. Let g be h(5). Let a = 56 - g. Suppose c + 5*v = 27 - 7, -3*c = 3*v - 60. Calculate the remainder when c is divided by a.
8
Suppose 0 = -572*q + 567*q + 1075. Calculate the remainder when q is divided by 24.
23
Suppose -2*o + 5*t - 3 - 2 = 0, -4*o - t - 43 = 0. Let d(c) = -11*c. What is the remainder when d(-1) is divided by (-34)/o + 8/(-20)?
2
Let n(f) = 3*f - 5. Let w(c) be the first derivative of c**2 - 4*c - 5. Let m be w(5). What is the remainder when 25 is divided by n(m)?
12
Let t = -1 + 5. Suppose 0 = 4*i + 5*j - 229, i + j - 4*j = 70. Let m = i - 46. What is the remainder when m is divided by t?
3
Let t = -98 - -328. Suppose -5*p - 50 = -t. What is the remainder when 179 is divided by p?
35
Suppose 9*g - 926 - 469 = 0. What is the remainder when g is divided by 80?
75
Let k = -1 + 4. Suppose k*c + 6 = 75. What is the remainder when c is divided by 16?
7
Let h(f) be the second derivative of f**4/12 + 2*f**3/3 - 5*f**2/2 - 37*f. Calculate the remainder when 18 is divided by h(-6).
4
Let f(y) = -y**2 + 21*y + 11. Let s be f(12). Suppose 0 = -3*i + 2*l - 116, 77 + s = -5*i + 4*l. What is the remainder when 33 is divided by i/(-5)*(-5)/(-2)?
15
Let k(h) = -h**3 + h + 18. Let w be 6/(-4 + 186/47). Let n = 212 + w. What is the remainder when n is divided by k(0)?
17
Let r(d) = -d**2 - 10*d + 61. What is the remainder when 15 is divided by r(-14)?
0
Let n be 9/(-2)*(-14)/21. Suppose 5*v - u - 271 = 0, -n*v = v - 3*u - 208. What is the remainder when v is divided by 14?
13
Let v(m) = -2*m + 8. Let o be v(4). Suppose o = -5*t + 204 + 161. Suppose 0 = 5*g - t + 8. Calculate the remainder when 36 is divided by g.
10
Let h = 535 + -760. Calculate the remainder when 33 is divided by (8/10)/((-10)/h).
15
Let z(j) = j**3 + j**2 - j. Let x(i) = i**2 - 13*i + 26. Let v be x(11). Suppose a - p - 22 = 45, v*p + 76 = a. What is the remainder when a is divided by z(3)?
31
Let r be (-1)/(2/26*-1). Let p(x) = 6*x - 16. What is the remainder when p(r) is divided by 8?
6
Suppose -2*b = -3*j + 1144, 384 = j - 61*b + 63*b. Calculate the remainder when j is divided by 6.
4
Suppose 2*x - 4 = -2*t - 0, -t = 2*x - 9. Calculate the remainder when (-3 + -1 - -24)*2 is divided by x.
5
Suppose -3*o + 52 = 4*a, 5*a = -4*o + 67 + 1. What is the remainder when 60 is divided by o?
0
Let j(f) = 17*f + 74. Suppose 290 = 5*a + 5*o, -5*o - 159 = -3*a + 55. What is the remainder when a is divided by j(-4)?
3
Let d = 1330 + -312. What is the remainder when d is divided by 60?
58
Suppose -4*a = -11 - 49. Let x(m) = m**3 - 21*m**2 + 56*m - 32. What is the remainder when a is divided by x(18)?
3
Suppose 7*r - 5*r = -4*g + 590, 3*r + 4*g = 887. What is the remainder when r is divided by 23?
21
Let m(r) = -22*r + 80. Calculate the remainder when 389 is divided by m(3).
11
Let t be (3/9)/((10/(-66))/(-5)). Suppose -5*q + q - v + 33 = 0, 40 = 5*q + v. Calculate the remainder when t - (2 + -3)*2 is divided by q.
6
Let h = 69 - 46. Let a(v) = -4 + 3*v + 14 - 5*v. Calculate the remainder when a(-17) is divided by h.
21
Let g(d) = -45*d + 189. What is the remainder when g(-18) is divided by 77?
75
Let n(s) = -3*s**2 + 18*s + 11. Calculate the remainder when n(5) is divided by 10.
6
Let y = -78 - -86. Calculate the remainder when 37 is divided by y.
5
Let w = -54 + 75. Let b = w + 8. What is the remainder when b is divided by 11?
7
Let p = 427 + -130. What is the remainder when p is divided by 23?
21
Let p(o) be the second derivative of -o**5/20 + o**4/2 - 5*o**3/6 + 3*o**2/2 + 3*o. Calculate the remainder when p(5) is divided by 3.
0
Suppose 106 = 2*d - 4*j, 4*d + 2*j = 106 + 66. Calculate the remainder when -5*((-2)/(-25))/((-9)/d) is divided by 1.
0
Let n = 61 + -31. Suppose 0*z = 3*z - n. Suppose -h + 29 = -5*p, -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*y + 19 = 2*i - 0*i, -2*i = -x*y + 16 for i.
-3
Suppose 0 = 8*w - 2*w - 36. Solve w*x - 20 = x, -2*z = x - 2 for z.
-1
Let v = 3 - -4. Suppose 6*g = v*g. Solve 3*j = 4*d + 28, j - 4*d - d - 24 = g for j.
4
Suppose 2*k - 3 = k. Suppose 6*y = k*y + 6. Let i be 0 + y + -3 + 2. Solve -4*q = a + 1 - 3, -3*q + i = a for q.
1
Suppose 2*f = -3*b - 2*b + 46, 3*f = 5*b + 44. Suppose c = 2*a, a = 5*c - 0*a - f. Solve 0 = -3*u + 2*u - w + c, -2*w = u - 3 for u.
5
Suppose 0 = -q + 2*i + 5, i - 6 = -2*q - 1. Let s(g) = g + 9. Let u be s(-6). Solve -u*z - q*w + 15 = -z, z + 3*w - 15 = 0 for z.
0
Let c = 32 + -28. Solve -c*p = -0*p, 0 = 2*b - 5*p - 8 for b.
4
Suppose 7 = 4*w - 5. Solve 2*o + u + u + 2 = 0, -9 = w*o - 3*u for o.
-2
Let k(t) = -t - 5. Let u be k(-9). Let w be u - (6 - 3) - -2. Solve -r - 16 = -3*v, w*r + 23 = 5*v - v for v.
5
Let j be (-3 - -7) + 0/(-3). Let q(n) = -n + 8. Let l be q(6). Let s be (-1 + 1)/(l*-1). Solve s = -4*c - j, 3*k - 3*c = c - 8 for k.
-4
Let t(g) be the third derivative of -g**5/60 + g**4/6 - g**3/2 - 4*g**2. Let x be t(2). Solve -5*b - 15 = 2*n, 4*n - x + 13 = -4*b for b.
-3
Let i(d) be the first derivative of -d**4/4 + 8*d**3/3 - 7*d**2/2 + 2*d + 1. Let f be i(7). Solve -l + f*j + 3*j = 16, 2*j = 5*l - 12 for l.
4
Suppose -5*n - 25 = -t, n - 1 = 5*t - 30. Let k be 82/8 - n/(-16). Let o = 21 - k. Solve -4*g + 4 = 5*p, -4*g - p - o = 1 for g.
-4
Let l be (2*13/(-2))/(-1). Suppose c + 4 = 3*a + 2*c, 3*a = 4*c + 14. Suppose l - 1 = a*t. Solve 4*w - 6 = -2*m, m - 5*w = -t*w + 1 for m.
-1
Suppose 4*o = -4, 3*d - 2*o = -7*o + 55. Solve 5*a = -4*s - 45, -2*s + d = -3*a - 3*s for a.
-5
Let n(b) = b + 4 - 3*b**2 + 5*b**3 - 5 - 4*b**3 + 4. Let q be n(3). Solve q*s = 4*h + s - 37, 2*h = -s + 1 for h.
3
Let y(u) = -u**3 + 19*u**2 - 18*u + 4. Let o be y(18). Solve 5*a = a + 20, -2*a = -o*k - 2 for k.
2
Let f(u) = u**3 + 8*u**2 + 2*u + 4. Let p be f(-8). Let n = -8 - p. Solve -5*c = -20, c - 23 = -d - n*c for d.
3
Suppose 4*m + 8 = -m + 4*b, 0 = -3*m - 5*b + 10. Solve m = 2*j - 4*v + 14, -j + 3*v = -0*v + 10 for j.
-1
Let y = -8 + 10. Let c be 2/12*y*0. Suppose 3*t = 4*f - 60, -f + 4*t + c*t = -28. Solve f = x - 4*u, -4*u = 3*x + u - 2 for x.
4
Let z be (1 + -1)*5/15. Solve 4*a + 25 = 5*u, z = -6*a + a + 4*u - 20 for a.
0
Let p(s) = -s. Suppose 7 = -2*b - 1. Let j be p(b). Solve 3*c = -f - j, 0*c + 5 = -c - 4*f for c.
-1
Let l = 25 - 9. Suppose -2*i = -0*i + 6. Let g = -3 - i. Solve -3*o + 4 + 10 = b, g = 3*o - 5*b + l for o.
3
Let u(l) = -2*l + 1. Let y be 4/(16/(-12)) - -2. Let t be u(y). Let h be 1*-3*8/(-6). Solve -3 - 17 = -t*p - h*w, w = p + 5 for p.
0
Let a = 111 + -107. Solve 4 = -2*p - a*n + 2, 0 = -4*n for p.
-1
Suppose 0 = -r - 3*o - 31 + 7, 52 = -3*r - 4*o. Let x be (-1)/(-3) - 68/r. Let g = x - 4. Solve -5*w = -g*p + 25, -2*w + w - 18 = -3*p for p.
5
Let k(c) = c**3 + c**2 + 20. Let u be k(0). Solve 4*l - u = t, -5*t + 2*t = 5*l - 25 for t.
0
Let o(i) = i**3 + 5*i**2 + 4. Let s be o(-5). Solve -5*k - 17 = s*n - 0*n, 2*k = 3*n + 7 for n.
-3
Let l(o) = 1 + o**2 - 7*o + 9*o - 3*o. Let z be l(0). Suppose 5*k - 48 = j, 5*k + 8 = -5*j + 38. Solve 5*q + d - k - 4 = 0, 4*q + z = 3*d for q.
2
Let w = 0 + 2. Solve -5*q = 4*b - 11, q + w*q = 4*b - 19 for q.
-1
Let s = -67 + 100. Let n be (1*-2)/((-6)/s). Let f = n - 7. Solve -2*t + 2*k + 6 = 0, -f*k + 7*k = -2*t + 16 for t.
5
Let z(f) = f**2 - 8*f + 3. Let y be z(7). Let p be ((-2)/y)/(2/44). Let u = 18 - 8. Solve -5*x - 12 = i + p, 0 = 5*i - u for x.
-5
Let i = -109 - -121. Solve -2*z + 0*z - 5*q = i, -4*q - 8 = 0 for z.
-1
Let j(l) = -4*l**3 - l. Let u be j(-1). Suppose -4*c = 2*q + q - 13, 5*c + 45 = u*q. Solve 2*k = z + q, -4*z - z - 28 = -3*k for k.
1
Let z be (-4)/(-2) + (1 - 0). Solve 4 = z*x + 10, -5*d - x + 23 = 0 for d.
5
Let b = -8 - -18. Solve -3*j - 5*o + b = 0, 4*o + 17 = 5*j - 12 for j.
5
Let d be (-24)/20*(1 + -6). Let l(f) = f + 4. Let h(z) = -z - 1. Let b(q) = -2*h(q) - l(q). Let x be b(d). Solve x*c = -3*i + 2*c - 9, -4*i - 5*c = 12 for i.
-3
Let i = 83 + -81. Solve 0 = -i*v + 4*h - 20, 2*v + 4*h - 8 = h for v.
-2
Suppose -5*k - 11 = 2*o, 4*o - 9 = -k - 4. Suppose -5*f + 4*y = 2*y - 26, -o*y = 3*f - 6. Solve 0 = -2*g + f*x + 6, 4*g = 4*x - 2 - 2 for g.
-5
Let u(n) = n**2 - 7*n + 9. Let z be u(6). Solve 5*f = 2*c - 1, -3*f = -z*c - c + 9 for c.
3
Let z = -11 - -11. Solve -u + 0*b - 6 = -b, z = 5*u + 2*b + 23 for u.
-5
Let c be -1*-1*4 - 0. Suppose -4*q = 4*i - 61 + 13, 2*q - c*i = 0. Solve -5*h + q*f = 3*f + 20, -5*h + 3*f = 16 for h.
-2
Let g(b) = b**2 - 3*b + 1. Let l be g(7). Solve 5*n = -4*r - 0*n - l, r + 16 = -3*n for r.
-1
Suppose 3*x - 2 = 4*t, -5*t = -0*x - 2*x - 1. Solve -4*a + 2*s - 6 = -x, 4*s = -3*a + 8 for a.
0
Let p(b) = -b**2 + 8*b + 12. Let q be p(9). Let m be q*4/(-6) - 0. Let t be 0 - (0 - -10)/m. Solve -2*g - 20 = 2*g, 0 = t*v - 4*g for v.
-4
Let l(t) = -t**2 + 6*t - 1. Let w be l(6). Let r be (-1 - w) + 0/(-1). Solve 0 = 4*j - y + 9, y + r*y = -2*j - 3 for j.
-2
Let p(l) = -l**3 - l**2 + 2*l + 2. Let x be p(-2). Solve -t - 30 = -5*c, 2*c = -x*c - t + 15 for c.
5
Suppose 0*n - 5*n - 40 = 0. Let f = 10 + n. Solve 4*u = f*v + 6, 3*v - 5*u + 7 + 2 = 0 for v.
-3
Let p(d) = 4*d**2 + 5*d + 6. Let q be p(-4). Suppose -3*f - 25 = -2*z, 5*f = 7*z - 2*z - q. Solve -4 = -4*y - 3*g, -4*y + z*g + 7 - 35 = 0 for y.
-2
Let f be (-1)/((-2)/4) - -2. Let o = 10 - 5. Suppose 3*h + 5*a = 14 + 25, 3*a + 99 = o*h. Solve -h = d - f*y, y - 1 = 4 for d.
2
Suppose 4 = -4*m - 3*x - 10, -10 = 3*m + 2*x. Let f be m/4*-8 - 1. Suppose -f*s - 10 = -8*s. Solve -b = 2*c - s, -5*c + 12 = -c + 4*b for c.
-1
Suppose 0 = -4*v - 0*v. Let t = -19 - -14. Let o = 13 + t. Solve v*m - w = -m + o, w = -3 for m.
5
Suppose p - 5*m = 14 + 4, 0 = 5*p - 4*m - 111. Solve -5*c - p = -i, -10 = 4*c + i + 3 for c.
-4
Let p(t) = 4*t - 1. Let d be p(2). Solve -5*g = 2*i - 4*g + 5, g - d = i for i.
-4
Let j be 0 + (-3 + -4)*-2. Let w be j/49 - 30/7. Let n = w + 8. Solve -n*q + 3*z = -32, 4*q - 3 - 37 = 5*z for q.
5
Let s(u) = u**2 - 19*u + 35. Let j be s(17). Solve -7 = -5*z + 3*c + j, 0 = -3*z + 3*c + 6 for z.
1
Let c(y) = y - 2. Let p be c(5). Suppose -33 = p*v - 99. Solve 0 = 5*w - 20, 4*w - v = -i - i for i.
3
Let r be 4 - 7/((-7)/(-2)). Solve -6 = -4*c - r*s, -4*c + 2*s + 26 = -0*s for c.
4
Let b(p) = -p + 17. Let u be b(14). Solve -3*x - 3 = -0, 2*j - 5 = -u*x for j.
4
Let u be -2 + (-27)/(3 + 0). Let h = u - -5. Let t be (2 + -3)/(2/h). Solve 0 = -3*j - 9, -5 - 10 = -3*g + t*j for g.
2
Let d = 9 + 0. Let z(r) = -r**3 - 2*r**2 + 5*r + 2. Let b be z(-3). Let i be ((-7)/b)/((-1)/(-4)). Solve p = 3*h - d, h - i = -3*p + 2*p for p.
3
Let f(o) = o - 1. Let i = 3 + 0. Let n be f(i). Suppose n*q + 3*q - 15 = 0. Solve -5*w - 2*l - 16 = 0, -q*w - 3 = -l - 0*l for w.
-2
Suppose o - 4 = -2. Let c = -7 - -10. Solve o*u + 3 = 3*x, -x - 2 = -3*u - c for u.
0
Suppose 4 = 2*w - 0*w. Let q be 68/8 + w/(-4). Suppose -j - j = -q. Solve -6 = -i + 5*p, -2*p = j*i + 2*p for i.
1
Let c(i) = -i**2 + 14*i - 8. Let z be c(6). Solve -5*d - 3*q - z = 0, 2*d = -4*q + 3*q - 15 for d.
-5
Suppose 0 = 2*j - 5*j + 15. Solve -4*b + 9*b + 13 = l, j*b = -5*l - 25 for b.
-3
Suppose 0 = -8*t - 7 + 31. Solve -m = -3*m + 5*p - 30, -t*p = -12 for m.
-5
Let u = -87 - -89. Solve -6*h - 20 = -u*g - h, 0 = g + 4*h + 3 for g.
5
Let u be -3 + 3 + 4*1. Solve 3*o + 24 = -u*m + 1, -o + 3 = -4*m for o.
-5
Suppose 3*c = -2*c + 10. Suppose 0 = c*d + 3*m - 4 - 5, 0 = -d - 4*m + 7. Solve -4 = 5*l + 4*z + 1, -4*l + 27 = -d*z for l.
3
Let s = -3 + 3. Suppose 0 = -3*n + n + 10. Let z(t) = t**3 + 3*t**2 - 4*t - 4. Let m be z(-3). Solve -2*y + m = 6, s = -4*x + n*y + 7 for x.
3
Let p be 4 - -3*20/15. Let l be 176/10 + (-2)/(-5). Suppose -l = -2*z - 4*s, -p = -3*z - 4*s + 25. Solve -9 = r + 4*y, -4*y - z = -r - 0*r for r.
3
Let k = -2 + 6. Let b = 5 - 2. Suppose b*u - 4 - 2 = 0. Solve -5*h + 3 = -k*r, r - u*h + 9 = 2*r for r.
3
Let v(n) = -2*n - n**3 + 7 + 22 - 41 - 14*n**2. Let t be v(-14). Solve -4*r = -l + 22, t = -2*l + r - 5*r for l.
2
Suppose -5*r + 2*c = -21, -3*r - 2 + 8 = c. Solve 2*u - x = 11, -3*u - x + 6 = -r for u.
4
Let a = 4 + -1. Solve a*o - 2 = -3*h + h, -2 = 2*h + o for h.
-2
Let u be 3*1 + -8 + 7. Let y = 1 + u. Solve -l + h = -7,
|
{
"pile_set_name": "DM Mathematics"
}
|
- 25*k**2. Solve c(h) = 0 for h.
1
Let c(j) be the first derivative of 1/9*j**3 + 0*j + 1/6*j**2 - 2. Determine y, given that c(y) = 0.
-1, 0
Let m(h) = -3*h**2 - 27*h - 15. Suppose 4*l = -l + 10. Let x(c) = c**2 + 7*c + 4. Let n(y) = l*m(y) + 9*x(y). Factor n(w).
3*(w + 1)*(w + 2)
Factor -2/3*x**2 + 4/3*x + 0.
-2*x*(x - 2)/3
Let d(i) = -3*i**2 - 9*i - 4. Let b be -2 - (0/1)/1. Let w(r) = 21*r**2 + 63*r + 27. Let m(y) = b*w(y) - 15*d(y). Factor m(o).
3*(o + 1)*(o + 2)
Let t(q) = -3*q**4 - 18*q**3 + 8*q**2 + 10*q - 1. Let d(x) = x**3 + x - 1. Let o(s) = 4*d(s) + t(s). Suppose o(n) = 0. Calculate n.
-5, -1, 1/3, 1
Let k(l) be the first derivative of -l**6/30 - l**5/10 - l**4/12 + 3*l**2/2 - 3. Let d(n) be the second derivative of k(n). Factor d(v).
-2*v*(v + 1)*(2*v + 1)
Let g(k) = k**3 - 5*k**2 + 10*k - 12. Let i be g(3). Factor 4/7*w - 2*w**2 + i.
-2*w*(7*w - 2)/7
Suppose 2 = 2*s + 3*w - 4*w, 4*w - 8 = 0. Let m(q) be the first derivative of 1/2*q**s - 1/6*q**3 - 1/2*q - 3. Find i such that m(i) = 0.
1
Factor -3*q**5 - 3*q + 1 - 1 + 12*q**3 - 6*q**3.
-3*q*(q - 1)**2*(q + 1)**2
Let q be -2 - (-3 + 3/(2 - -1)). Factor 0 + 4/7*n**3 - 2/7*n**4 - 2/7*n**2 + q*n.
-2*n**2*(n - 1)**2/7
Let o be ((-9)/(-3) - 5) + 5. Let h be (o*1)/(33/22). Determine i, given that 2/3*i**h + 0*i + 0 = 0.
0
Let f = 80/7 + -1012/91. Factor 0*v - 2/13*v**2 + 0 - f*v**3 - 2/13*v**4.
-2*v**2*(v + 1)**2/13
Let m(u) be the third derivative of u**7/12600 - u**6/3600 - u**5/300 + u**4/12 - 2*u**2. Let x(p) be the second derivative of m(p). Find w such that x(w) = 0.
-1, 2
Let g(f) be the second derivative of -f**7/210 + f**5/30 - f**3/6 - f**2 + 3*f. Let v(m) be the first derivative of g(m). Factor v(q).
-(q - 1)**2*(q + 1)**2
Factor 4*j + 3*j**4 - j - 9*j**3 + 8*j**5 - 5*j**5 + 3*j - 3*j**2.
3*j*(j - 1)**2*(j + 1)*(j + 2)
Let f be (-24)/(-7) - (-41)/574. Factor -f*o**3 + 0 - 3/2*o**4 - 5/2*o**2 - 1/2*o.
-o*(o + 1)**2*(3*o + 1)/2
Factor x**3 + 0*x + 1/4*x**4 - 5/4*x**2 + 0.
x**2*(x - 1)*(x + 5)/4
Let w(b) be the second derivative of b**4/4 + b**3/2 + 14*b. Factor w(s).
3*s*(s + 1)
Let b(o) be the second derivative of -o**6/120 - o**5/120 - o**3/3 - 2*o. Let l(p) be the second derivative of b(p). Suppose l(g) = 0. Calculate g.
-1/3, 0
Let t(n) = -8*n**4 + 4*n**3 + 30*n**2 - 16*n + 2. Let z(b) = -8*b**4 + 4*b**3 + 29*b**2 - 16*b + 3. Let c(v) = -3*t(v) + 2*z(v). Factor c(w).
4*w*(w - 2)*(w + 2)*(2*w - 1)
Factor 4*w - 5*w**4 - 5*w**3 + w + 0*w + 15*w**2 - 10.
-5*(w - 1)**2*(w + 1)*(w + 2)
Let t be 2/4 - (-45)/10. Let 3*k**2 - 2*k - k - k**4 + t*k = 0. Calculate k.
-1, 0, 2
Let a(b) = b**2 - b - 12. Let z be a(-3). Let v(y) be the third derivative of -1/18*y**4 + 0*y + 2/9*y**3 - 3*y**2 + z + 1/180*y**5. Factor v(h).
(h - 2)**2/3
Let l(q) be the first derivative of 4*q**3/3 - 6*q**2 - 5. Determine b so that l(b) = 0.
0, 3
Let t be (47/(-987))/((-2)/48*1). Let 8/7*m**4 + t*m**2 + 0 - 2/7*m**5 - 12/7*m**3 - 2/7*m = 0. Calculate m.
0, 1
Let a(g) be the third derivative of -g**8/7560 - g**7/3780 + g**6/1620 + g**5/540 + 2*g**3/3 + 4*g**2. Let s(t) be the first derivative of a(t). Factor s(h).
-2*h*(h - 1)*(h + 1)**2/9
Let w = -3742/13 + 288. Suppose 3*j - 4*j + 2 = 0. Solve -2/13*l**4 + 0 + 0*l**3 + 0*l + 0*l**j - w*l**5 = 0 for l.
-1, 0
Suppose 0*o = -o + p + 16, -o - 5*p + 10 = 0. Determine l, given that -75/2*l**2 + 125/4*l**3 - 2 + o*l = 0.
2/5
Let g(y) be the second derivative of -y**7/210 - y**6/50 - y**5/50 + y**4/30 + y**3/10 + y**2/10 - 4*y. Factor g(v).
-(v - 1)*(v + 1)**4/5
Let p be (-9)/(-6)*4/3. Determine k so that -2*k**p - 2*k + 4*k + 0*k**2 = 0.
0, 1
Let p(k) = -5*k**3 - 7*k**2 + 3*k + 3. Let t(h) = -11*h**3 - 15*h**2 + 7*h + 7. Let b(s) = 7*p(s) - 3*t(s). Determine l, given that b(l) = 0.
-2, 0
Let a(i) be the second derivative of -1/42*i**4 + 0*i**2 + 0 - 1/21*i**3 + 3*i. Factor a(h).
-2*h*(h + 1)/7
Let m(i) = -3*i**3 - 7*i**2 - 7*i + 1. Let a(y) = 6*y**3 + 14*y**2 + 15*y - 3. Suppose -12 = 5*h + 13. Let j(o) = h*m(o) - 2*a(o). Factor j(x).
(x + 1)**2*(3*x + 1)
Suppose -49 = -3*y - 2*z, 4*y - z - 52 = 3*z. Suppose y = -j + 6*j. Factor 4*p**5 - 6*p**5 - 2*p - 3*p**3 + 7*p**j.
-2*p*(p - 1)**2*(p + 1)**2
Suppose -2*t - 2 = 6*a - 8*a, -2*t - a = -7. Factor 4/9 - 8/9*n**t - 14/9*n.
-2*(n + 2)*(4*n - 1)/9
Factor 0 + 2/5*n**3 - 2/5*n**2 + 0*n.
2*n**2*(n - 1)/5
Suppose -21 + 1 = -4*x. Let f = 24 - 22. Factor 2*n**x + n - 3*n + f*n**3 + 2*n**3 - 4*n**5.
-2*n*(n - 1)**2*(n + 1)**2
Let k be 1*(-1)/(-2)*0. Let q(m) be the first derivative of -2 - 1/5*m**5 + 1/2*m**4 + 0*m**2 + k*m - 1/3*m**3. Factor q(h).
-h**2*(h - 1)**2
Suppose -5*g + 2 + 4 = 4*n, n - 9 = -5*g. Suppose -13 = -5*c - 3*q, -c + 6 = -q - 3. Solve -c*m**g + 4*m + 5*m**3 + m**2 - 4*m**3 = 0 for m.
0, 2
Let u(l) = -l**2 + l - 14. Let j be u(0). Let z(d) = -5*d**3 + d**2 - 5*d + 3. Let t(f) = 11*f**3 - f**2 + 11*f - 7. Let v(p) = j*z(p) - 6*t(p). Factor v(a).
4*a*(a - 1)**2
Suppose 0*k = -k + 3. Factor 7*n - n - 2*n + 7*n**2 - n**2 + 2*n**k.
2*n*(n + 1)*(n + 2)
Let u(c) be the second derivative of c**7/140 + c**6/80 - c**2/2 - 6*c. Let y(f) be the first derivative of u(f). Factor y(x).
3*x**3*(x + 1)/2
Let h(y) be the first derivative of y**6/30 - 3*y**4/10 + 8*y**3/15 - 3*y**2/10 + 2. Factor h(z).
z*(z - 1)**3*(z + 3)/5
Let f(h) = -h**4 - h**3 + h. Let d(l) = -3*l**4 - 6*l**3 - 5*l**2. Let t = -3 + 0. Let m(j) = t*d(j) + 6*f(j). Determine y so that m(y) = 0.
-2, -1, 0
Let v(z) be the second derivative of 1/3*z**3 + 1/3*z**4 - z**2 + 1/21*z**7 - 1/15*z**6 - 1/5*z**5 + 0 + 2*z. Solve v(c) = 0.
-1, 1
Let z be ((-2)/(-5))/(2/10). Let s be (3*1)/(-13 + 9) - -1. Factor 1/4*a**z - s*a - 1/2.
(a - 2)*(a + 1)/4
Let m(b) be the third derivative of -b**8/33600 - b**7/4200 - b**6/1800 + b**4/6 - b**2. Let i(o) be the second derivative of m(o). Solve i(q) = 0.
-2, -1, 0
Factor -41*a**2 - 3*a**3 + 24 + 0*a - 6*a + 26*a**2.
-3*(a - 1)*(a + 2)*(a + 4)
Let p(k) = 5*k**5 + 5*k**4 - 5*k**3 + k**2 - 3*k + 3. Let c(a) = 6*a**5 + 6*a**4 - 6*a**3 + 2*a**2 - 4*a + 4. Let b(t) = 3*c(t) - 4*p(t). Factor b(f).
-2*f**2*(f - 1)*(f + 1)**2
Let f(d) be the second derivative of -d**4/42 + d**3/21 - 42*d. Determine y so that f(y) = 0.
0, 1
Let i be 5 - (3 + 3/(-1)). Let -l**4 + 2*l**4 + 0*l**3 - i*l + 3*l - 1 + 2*l**3 = 0. What is l?
-1, 1
Suppose -4*h = -0*h - 2*l - 14, -7 = -5*h - l. Factor -2/5*m**h + 0 - 2/5*m.
-2*m*(m + 1)/5
Let g(x) be the third derivative of -3*x**5/160 - 5*x**4/64 - x**3/8 + 21*x**2 - 2. Factor g(u).
-3*(u + 1)*(3*u + 2)/8
Let o(w) be the third derivative of -w**7/5040 - w**6/480 - w**5/120 + 7*w**4/24 - 7*w**2. Let v(u) be the second derivative of o(u). Solve v(c) = 0 for c.
-2, -1
Let j(s) be the second derivative of -s + 0 - 1/20*s**5 - 1/2*s**3 - 1/2*s**2 - 1/4*s**4. Factor j(k).
-(k + 1)**3
Let 12 - 3/2*s**5 - 42*s + 57*s**2 - 75/2*s**3 + 12*s**4 = 0. Calculate s.
1, 2
Suppose -2*h = b - 5*h - 3, 0 = 3*h. Let i(c) be the third derivative of 1/210*c**5 - 1/42*c**4 - c**2 + 1/21*c**b + 0 + 0*c. Determine r, given that i(r) = 0.
1
Let o(q) be the first derivative of -4*q**5/5 + q**4 + 4*q**3 - 2*q**2 - 8*q - 20. Factor o(p).
-4*(p - 2)*(p - 1)*(p + 1)**2
Factor -3/2*g**2 + 0 - 3/8*g.
-3*g*(4*g + 1)/8
Suppose 2*o - 3*o = -3. Factor 0*a**3 - 2*a**2 + 3*a**2 + 4*a + a**2 - 2*a**o.
-2*a*(a - 2)*(a + 1)
Let x be (-7)/(-245)*14 - (-1)/5. What is k in -1/5*k**3 + 2/5*k + 0 + 3/5*k**2 - x*k**4 - 1/5*k**5 = 0?
-2, -1, 0, 1
Let o = -265 + 2917/11. Suppose 6/11*d**3 - 6/11*d**4 + 0*d - o*d**2 + 0 + 2/11*d**5 = 0. Calculate d.
0, 1
Suppose 2*o - 4*o = -14. Let m = 10 - o. Factor -2*v + 4*v**2 - 7*v**3 + 0*v**3 + 10*v**m + 8*v**4 + 11*v**3.
2*v*(v + 1)**2*(4*v - 1)
Let n(w) = -w**2 + 7*w + 10. Let p be n(8). Let z(u) be the first derivative of -4*u**p - 1 - 5/3*u**3 - 1/4*u**4 - 4*u. Determine d, given that z(d) = 0.
-2, -1
Let h be (2 + -1)*884/12. Let p = -73 + h. Factor 0 + 0*d + 4/3*d**3 - 2/3*d**2 - p*d**4.
-2*d**2*(d - 1)**2/3
Suppose -k = -0*k + 4. Let s = k - -6. Factor -q + 0*q**s - 2 + 4 - q**2.
-(q - 1)*(q + 2)
Let i = -75 - -78. Factor f**2 + 0*f - 1/2*f**i + 0.
-f**2*(f - 2)/2
Suppose 6 - 15 = -3*r. Factor -2/9*v**r + 4/9*v**2 + 0*v + 0.
-2*v**2*(v - 2)/9
Let f(l) = -l**3 - l**2 + 2*l + 2. Let t be f(-2). Let m(a) be th
|
{
"pile_set_name": "DM Mathematics"
}
|
- -12) + (5 - 1).
1
-1 - ((2 + 1 - 3) + 1)
-2
Calculate (-3 + -5 - -4) + (2 - 2).
-4
Evaluate 11 + -10 - (2 - 1) - 5.
-5
What is 10 - (15 + -8) - (6 - 1)?
-2
What is (9 - 12) + 7 + -1?
3
What is the value of 1 - (8 + 2 + -5)?
-4
What is the value of 17 + -4 + (2 - -1 - 6)?
10
Calculate 0 + (-6 - (-5 - -2)).
-3
-1 + -2 - (33 - 36)
0
What is (1 - (-1 - -3 - -1)) + -4?
-6
What is the value of 2 - (-4 + 12 + -3)?
-3
Calculate 0 - 5 - (-2 + -1).
-2
Evaluate 5 + 2 + 1 + -1.
7
What is -9 - (-10 - 4 - -10)?
-5
Evaluate (1 + 0 - -1) + -5 + 6.
3
(8 - 20) + (0 - (-1 + -3))
-8
Evaluate 11 - 9 - (6 - 3).
-1
Calculate 1 + 3 + (-3 - (-2 + -3)).
6
Calculate 3 - (8 + -8 + 1).
2
What is -1 + 13 - (24 - 19)?
7
Calculate -7 - -3 - (-8 - -9).
-5
What is the value of 2 + 2 + (10 - 11)?
3
Calculate -7 - ((-7 - -5) + -2).
-3
Calculate (-3 - -10) + (-3 - 1).
3
Calculate -6 - 1 - 1 - -8.
0
Evaluate 9 + -13 + 8 - (0 - 1).
5
(2 - (1 - 2) - -6) + -5
4
-1 + -2 + (4 - -1 - 3)
-1
Evaluate (2 - (11 - 4)) + 3.
-2
Calculate (-2 - -1) + 8 + -6.
1
(1 - 1 - (12 + -11)) + 5
4
What is the value of 1 - 6 - (24 - 35)?
6
Evaluate (-10 - -5) + 8 + -6.
-3
Evaluate (-8 + 8 - (1 + -3)) + 0.
2
Evaluate -6 + 9 - (4 - (6 - 8)).
-3
2 + 5 + (-9 + 2 - -6)
6
Evaluate 0 + 7 + (-4 + 3 - 2).
4
What is the value of -4 + 3 + -3 + 2?
-2
Calculate (-5 - -3) + (-8 - -10).
0
What is the value of -1 - -1 - (4 - -2 - 10)?
4
What is the value of 0 - 2 - (-72 - -62)?
8
What is the value of (54 - 41) + -15 + -3?
-5
2 + (5 - 9) + -2
-4
-4 - 0 - -6 - 1 - -3
4
What is (-4 - (0 - -1)) + 230 + -227?
-2
What is the value of (10 - 7 - 10) + (1 - -13)?
7
-2 - (-17 + 15 - (2 - 1))
1
What is the value of 4 + (1 - -4 - 5)?
4
4 + 6 + -28 + 6 + 6
-6
3 - 1 - (33 + -30)
-1
What is the value of -2 + (10 + -1 - (13 - 9))?
3
Evaluate (-2 - (-7 - -6)) + 1 - -3.
3
Calculate 2 + (5 - -2 - 8).
1
What is (29 - 27 - (4 + -1)) + 6?
5
-20 - -18 - ((-2 - 3) + -1)
4
Calculate 6 - (6 + -4 + 3 + 0).
1
Calculate 0 + 1 - (-61 - -69).
-7
What is -7 + 4 - (-15 - -12)?
0
Evaluate 2 + -2 + -10 + -4 + 10.
-4
What is the value of 5 + -4 + 4 + -1?
4
Calculate 3 - (3 + 1 + (13 - 16)).
2
-6 + (18 - (14 + 2 + -9))
5
What is the value of -27 - (13 + -23) - -12?
-5
Evaluate -3 + (5 - 3) + 1.
0
What is the value of (-8 - -1) + 9 + -5?
-3
What is -2 + -3 + (-2 - -3 - -3)?
-1
What is the value of 7 - 4 - 5 - -4?
2
What is 3 + 1 - (-1 + (9 - -4))?
-8
Evaluate (-3 - (0 - 2)) + (1 - 5).
-5
What is (2 - -1) + -39 + 37?
1
What is the value of -9 + 1 + (-38 - -42)?
-4
What is -12 + (9 - 2) - -6?
1
What is the value of -6 - -5 - -1 - 1?
-1
What is 1 - (3 + -4) - 3?
-1
What is the value of -4 + (-5 - 3) + 16?
4
7 + -8 + 1 + (0 - -1)
1
Evaluate -10 - (2 + -8 + 9 + -9).
-4
What is the value of 9 - (-9 + 9) - 3?
6
Evaluate 10 + 1 + 3 + -17 + 8.
5
5 + 9 + -4 + -5
5
Evaluate -3 + (-3 + 1 - (8 - 13)).
0
What is 7 + (2 - 5) + -7?
-3
What is the value of -2 + 0 - (3 + -20 + 10)?
5
Calculate 1 + -3 + (4 - 2).
0
-5 + (2 - 4) + -2 - -4
-5
Evaluate 5 - (4 + -3) - 8.
-4
Calculate -2 + (5 - 7) - -5.
1
What is 9 - -2 - (54 - 49)?
6
Evaluate 1 + 2 - (0 - (5 + -6)).
2
Evaluate 8 + 2 + (0 - 9).
1
What is the value of -4 - -1 - (52 - 57)?
2
What is the value of 0 - (-9 + 3) - 7?
-1
What is 7 - (0 + 1) - 6?
0
What is the value of -1 - -7 - (-51 + 62)?
-5
Calculate -6 + -4 + (9 - 1) + 0.
-2
What is 0 + -6 + 2 + 0?
-4
Evaluate -4 + 5 + -5 - (-1 - 0).
-3
Evaluate (18 + -14 - (5 - 2)) + -6.
-5
Evaluate -4 - (4 - 6) - -3.
1
Calculate (-4 - -3 - 1 - 0) + 0.
-2
(3 - (-4 - -7)) + 0 + -1
-1
Calculate 4 - (-5 + (-4 - -17)).
-4
What is the value of -5 - 9 - -9 - -1?
-4
What is the value of -8 + -1 + 7 - (0 - -5)?
-7
What is -95 - -86 - (-10 - 0)?
1
Evaluate 1 + -3 + -3 + 4.
-1
(1 - 3 - -7) + -4
1
Calculate 1 + -6 + (-5 - -5).
-5
Calculate -1 + -2 + 0 + 12 + -5.
4
Calculate 8 + ((-1 - 0) + -1 - 2).
4
What is the value of -7 - (0 - 6) - 0?
-1
Calculate 4 - (2 - (-4 - -4 - -1)).
3
What is the value of 4 - (-5 - (6 - 17))?
-2
What is -1 + 3 + 16 + -17?
1
What is the value of 1 + 0 + (0 - (5 - 8))?
4
What is the value of 1 + -5 - (3 + -7 - -2)?
-2
Evaluate 29 + -23 - (-2 + 2).
6
Evaluate 10 - 5 - -2 - (-2 + 6).
3
Evaluate 9 + (-5 - 1) - -1.
4
Calculate 3 + (2 - 14 - -4).
-5
Calculate (-4 - -9) + (-4 - -2).
3
8 + (-8 - 2) - (2 - 1)
-3
What is 7 - (2 - 1) - (-7 + 11)?
2
3 + -3 - 8 - -8
0
Calculate 0 + 2 + -6 + 8.
4
3 + -2 - 8 - (-97 + 94)
-4
Calculate -6 + 6 + 1 + -6 + 1.
-4
Calculate 2 + (4 - (-3 - -4)) + -9.
-4
1 + -2 + -8 + 10
1
What is -5 - (2 - 5) - (-6 - 0)?
4
Evaluate -3 + -4 - -3 - -7.
3
Calculate 8 + -9 + 6 + -10.
-5
-1 + 0 + 6 + -12 + -1
-8
What is -11 + 13 + (1 - 0)?
3
Evaluate -5 + 6 - (-1 + -3).
5
Calculate 11 - ((20 - 10) + -3).
4
-8 + 0 - -14 - (-1 + 5)
2
Calculate 2 - 0 - (3 - -1).
-2
Calculate -5 + (4 - -1) + -4.
-4
Calculate -8 + -1 + 6 + 2.
-1
7 + -8 + 10 + -7 + 2
4
Evaluate 4 + -3 - 2 - -8.
7
Evaluate -11 + -5 + (10 - 1).
-7
What is the value of -12 + 4 + 16 - 4?
4
What is 0 - (-3 + 5 - -3)?
-5
4 - (-2 + (-3 - -1) + 4)
4
Calculate (3 - -8) + (-3 - 15).
-7
Evaluate (-1 - (6 - 7)) + -2.
-2
What is 4 - ((6 - 3) + 0)?
1
Evaluate (-2 - (5 + -9)) + -5 + 7.
4
-11 - (-1 + -1 + -4)
-5
(-5 - -5) + 2 + 1
3
What is the value of 2 + -6 + 0 + (-1 - 0)?
-5
8 + (0 - 17) + 4
-5
What is the value of -5 + (13 + -3 - 6)?
-1
Evaluate (7 - 3) + -2 + 3.
5
What is the value of -64 - -69 - (1 + -1 - -12)?
-7
Calculate -2 + -3 + 16 + -10.
1
-4 - 0 - (1 - (1 - 1))
-5
Evaluate -6 + 10 + (-9 - -1 - -2).
-2
Evaluate 7 - (-1 + 3 + 4).
1
Calculate 14 - (14 + -2) - 1.
1
Evaluate -12 - -1 - -6 - (-1 - 0).
-4
What is the value of (1 + -2 - (-23 - -21)) + 1?
2
-4 + (0 - 3) + 2
-5
Evaluate (-3 - 4 - -7) + 2 + -7.
-5
Evaluate (-23 - -23) + 0 + -2.
-2
Calculate -7 + (-7 - -17 - 5).
-2
1 - 5 - (-2 - (0 - -4))
2
Calculate 79 + -77 - (-2 - 0).
4
What is the value of -2 + (-1 - (-4 + 0)) + 4?
5
Evaluate -4 + (14 - 5 - 4) - -3.
4
What is (-5 - -4) + -3 - (-1 - -1)?
-4
1 - 2 - (-20 + 24) - -7
2
Evaluate 5 + (0 - (-7 + 8 + -3)).
7
Calculate (5 + -1 - 2) + -5.
-3
What is the value of (8 - (7 - -8)) + 8?
1
(4 - 1) + (-25 - -21)
-1
What is 2 + 11 + 90 + -96?
7
What is the value of 0 - 3 - (4 + 0 - 2)?
-5
(3 - 2) + (-2 - 2) - 2
-5
Evaluate -19 + 6 + 13 - -8.
8
-7 + -7 + (9 - -9)
4
What is the value of (0 - -1) + -2 - (-19 + 13)?
5
-5 + 0 - (0 - 9 - 1)
5
Evaluate (7 - 0) + 7 + -9.
5
Evaluate 1 - -2 - (19 + -11).
-5
(5 + 0 - 13) + 3
-5
What is the value of (-5 - -3 - -4) + (-14 - -13)?
1
-2 + 2 - (5 + -1)
-4
0 - (5 - 5 - 0) - -2
2
Calculate (14 - 14) + (-2 - 1).
-3
Evaluate -1 + -4 + -1 + 2.
-4
Calculate -8 - -6 - (1 - 1 - 4).
2
-2 + 1 - (4 - 1)
-4
What is 3 + -4 + (-1 - -1)?
-1
Calculate (-1 - 0) + -11 + 3 + 4.
-5
84 + -70 - (-1 + 10)
5
What is the value of (-1 - (-3 - -4)) + 1?
-1
Calculate -30 - -24 - (2 + -3).
-5
-1 - (1 - 1 - -2) - 2
-5
What is 11 - (-15 + 23) - (3 + 1)?
-1
0 + (-3 + 0 - (2 + -3))
-2
Evaluate 19 + 1 + (-4 - 7).
9
Calculate -9 + 25 - 5 - 7.
4
What is the value of 3 - (0 - (9 - 4) - -6)?
2
What is the value of 1 - 0 - (1 - (1 - 1))?
0
Calculate 2 + -4 + 0 + (-3 - -4).
-1
-12 + 6 + -3 + -5 + 7
-7
Evaluate (2 - (0 + 0)) + -9 + 3.
-4
Calculate -8 - -7 - 7 - -11.
3
What is -26 - -28 - (-2 - -1)?
3
What is 2 + 4 + (-8 - -5)?
3
-1 - (1 + -1) - (69 - 72)
2
What is -10 - (-7 + 0) - -12?
9
-3 + (-6 - -6) + 3
0
-3 - (-1 - (-8 - -1)) - -5
-4
What is -5 + 4 + 3 - 0?
2
What is 9 - (8 + -1 + 10)?
-8
4 + -1 + (-6 - -1) + -1
-3
What is the value of -4 + -1 + -1 + 8?
2
Calculate (6 - 8 - -2) + 2 + 1.
3
What is the value of -2 + (4 - 1 - 1) - 4?
-4
What is the value of 0 - -4 - (26 + -21)?
-1
Calculate -6 + (1 - -5) - -3 - 8.
-5
Calculate 3 - -2 - 2 - (2 + -2).
3
What is -5 + (-9 + 4 - -5)?
-5
Calculate (-4 + 1 - (-15 - -4)) + -2.
6
Evaluate 3 + -1 + (17 - 17).
2
Evaluate -2 + (-4 - 1) + 9.
2
Evaluate -5 - (-2 + 7 + -7 + -3).
0
-12 - (6 + -12) - -10 - 9
-5
Evaluate -2 + -1 - (3 - (3 + 2)).
-1
What is the value of 2 + -5 - -3 - 2?
-2
Calculate 37 + -29 + (-13 - 0).
-5
What is (-1 - -3) + 0 + (1 - 1)?
2
What is -3 + (-2 - -10) - (2 - 0)?
3
Evaluate -4 + -9 + 20 + -1.
6
Evaluate (-2 - (-5 - -2)) + 3 + 1.
5
Calculate (-4 + 3 - -2) + -3.
-2
Calculate (-1 - -7) + (-11 - 0) + 5.
0
Evaluate -3 - (-10 - (6 + -10)).
3
What is -9 - (-2
|
{
"pile_set_name": "DM Mathematics"
}
|
5)/g)/g)**28/(g**24*g**(-26)/g))**(-1/52) assuming g is positive.
g**(181/260)
Simplify (((q*q*q**(1/3)/q*q*q)/q)**23/(q*q**(-2/5))**(-37))/((q/q**(2/9))**22*(q/(q*q**(-3/5)))/q*((q*q/q**(-4/11)*q)/q)/q) assuming q is positive.
q**(28607/495)
Simplify (((f/(f**(-10)*f))/((f/(f*((f**14/f)/f*f)/f*f)*f*f)/f))/(f/(f/(f**(1/8)/f)))**(10/9))**(9/7) assuming f is positive.
f**(827/28)
Simplify (h**(2/5)*h*h*h)**(3/5)*(h*h**(-1/4))**(1/66)*(h**(-1/5)*h**(-2/3)/h)/(h**(-1))**(-24) assuming h is positive.
h**(-157181/6600)
Simplify (h**(-4)/h**(-9))**(-21/5)*(h**(-6)*h*h**1/h)/((h**(6/11)*h)/(h/((h*h*h/((h**5*h)/h)*h*h)/h))) assuming h is positive.
h**(-281/11)
Simplify (j*(j*j/(j*j**(-6)/j))/j*j**(-7)*j**(-1/4)*j*((j*j*j**2*j*j*j)/j)/j)/(((j*j*j**(-4/7)*j*j)/j**5)/(j**0)**(3/29)) assuming j is positive.
j**(233/28)
Simplify ((v**7/v)/v**(-2/3))**(-5/6)*v**1/(v/(((v/(v/(v/(v*v/v**4*v*v)))*v)/v)/v))*v**5*v**(-1/2)/v assuming v is positive.
v**(-37/18)
Simplify (b**(1/6)*b**8)**(-33)*(b/((b*(b**(-2/9)/b)/b*b)/b))**34*b*(b**(-3)*b)/b*(b*b/(b*b*((b**(-1/4)/b)/b)/b)*b)/b*b*b assuming b is positive.
b**(-6865/36)
Simplify (((x*x**(-1/3))/x)/x)/x**(-2)*(x**(-1))**43*(x**2/(x**(-1/5)*x))**(-12) assuming x is positive.
x**(-851/15)
Simplify ((p**1*p*p**(-2/43)/p)/(p*p**(3/2))**12)**(-3/2) assuming p is positive.
p**(3747/86)
Simplify (n**0*n/n**(-8)*n**0*n**(-3/2))/(n**(2/17)/((n*n*n**(-3/4)*n)/n))**34 assuming n is positive.
n**46
Simplify ((y/(y*y**(-5))*y**(-9/2))/(y**(2/15)/y)**(29/2))**(-2/65) assuming y is positive.
y**(-392/975)
Simplify (n*n*n/(n**(2/3)/n)*n*n*n*n*n**(2/5)*n*n*n*n)**17/((n**1)**(2/71))**(-21) assuming n is positive.
n**(213062/1065)
Simplify ((((h**6*h)/h*h*h)/(h/(h*h/((((h/(h/(h/(h**(-17)*h))))/h)/h)/h))))/(((h/(h**(-2/11)*h))/h)/h**(2/3)))**(1/70) assuming h is positive.
h**(-58/1155)
Simplify ((x*x**1*x)**22*x*x**(2/7)*(x**3*x)/x*x)/(x/x**(-3)*x**(2/5))**20 assuming x is positive.
x**(-117/7)
Simplify (l**(-1/3)*l**(-1/8)/l*(l**1)**(-36))/(l**(-4)*(l/(l*l**(-2))*l)/l*(l/l**(1/9))/l**(-4)) assuming l is positive.
l**(-2905/72)
Simplify ((((y*y/y**(-1))/(((y**(-12)*y)/y)/y))/(y*y*y**(-6)*y**(-11)))**(3/26))**(-41) assuming y is positive.
y**(-3813/26)
Simplify (w**(-1/2))**(1/62)/(w**1)**(-12)*((w**2/w)**(-1/4))**50 assuming w is positive.
w**(-63/124)
Simplify (h**(-4)*h*h**(-2)*h*h/h**6*h*h**0)/((h/(h*h**(-1/2)/h))**(1/41)*(h*(h**(2/7)*h)/h*h)/(((h/h**9)/h)/h)) assuming h is positive.
h**(-11665/574)
Simplify ((c*c**(-1/6)*c)**(-27)*c**(1/18)/((c*c*c**14/c*c*c)/c))**(-3/23) assuming c is positive.
c**(589/69)
Simplify ((c*c**(-31))/(c/c**19)*(c**(4/17))**(-12/5))**(-19) assuming c is positive.
c**(20292/85)
Simplify (c**(1/7)/c*c*c**(-2/13))**(-50)/((c/(c/c**0*c))**25/(c*c**5*c**(1/3)*c)) assuming c is positive.
c**(8977/273)
Simplify (((r/(r/r**(-2/5)))/r*(r**(-18)*r)/r)/(r*r**(-2/7)/r*r*r*r*r**(-7)))**8 assuming r is positive.
r**(-4232/35)
Simplify (h**4)**41*h**(4/3)/h**25 assuming h is positive.
h**(421/3)
Simplify (((t/(t*t*t**1/t))/t*t*t**(9/4))/(t**(1/10)/t**(-2/27)))**(21/5) assuming t is positive.
t**(4067/900)
Simplify (r**(-7/6))**38/((r*r**36)/((r/(r/(r**(3/7)/r)))/r)) assuming r is positive.
r**(-1741/21)
Simplify (g/(g/g**(1/4)))**(-5/12)*g/(g*g**(-3/8)*g)*g**(-1/6)*g*(g**(1/2)*g**(1/3))**(-11) assuming g is positive.
g**(-145/16)
Simplify (((q/q**(-1/5))/q)**0*(((((q**(5/2)*q)/q)/q)/q)/q)/(q**4/q))/(q/q**(-6)*q*q/(q/(q**7*q))*(q**(-1/6)/q)**(-39/5)) assuming q is positive.
q**(-143/5)
Simplify (((p/p**(2/5)*p)/p**(-3/5))/(((p/(p/(p/(p**(-1/9)*p)))*p)/p)/(p/p**(-8))))**19 assuming p is positive.
p**(9481/45)
Simplify (f**(-3/5)/(f/(((f*f**(-5)*f*f)/f)/f)))**(-2/11)*((f/(f**(2/3)/f))**(-1/4))**(-10/7) assuming f is positive.
f**(1726/1155)
Simplify ((r/(r*r**(-3/11))*r*r*r**(-1/2)*r**(-7)/r**(2/23))**23)**(-39) assuming r is positive.
r**(104871/22)
Simplify ((p**14*p*p**(3/7))/(p**(-6)/p*p**(3/5)*p))**(10/13) assuming p is positive.
p**(1458/91)
Simplify (x**3/x*x**(-3/2))**(-8/17)*(((x/((x*(((x*(x*x**(-1/3)*x)/x*x)/x)/x)/x)/x*x))/x*x)**(-7))**(-4/15) assuming x is positive.
x**(296/765)
Simplify ((k/k**26)**(-1/3)/((k*k**21)/k**(-42)))**40 assuming k is positive.
k**(-6680/3)
Simplify ((b**(-2/15)/b)/b**(1/8)*b**(3/8)/(b*b**(-4)))/((b*(b**(-1)/b)/b*b)**(-15)*b**(3/8)*b*b**(-6)) assuming b is positive.
b**(-991/120)
Simplify (t**(-1/2)*t*t/(t**(-3)*t*t)*t*t)**(-8)*((t**0/t)/(t**3/t))/((t*(t*t**(-2/3)/t*t)/t)/(t*t/(t**(-2)*t*t))) assuming t is positive.
t**(-112/3)
Simplify ((r**(2/3)*r)**(4/21)*(r/r**0)/(r/(r/(r/(r/r**(-8)*r)))))/((r**(-2))**(-2/75)*r*r**(1/9)*r**1) assuming r is positive.
r**(12841/1575)
Simplify (((c*c*c**(4/21))/(c*(c**(2/53)*c)/c))/((c*c*c/(c/(((c/c**(-5))/c)/c)))/c**(-1/10)))**(2/75) assuming c is positive.
c**(-55063/417375)
Simplify (m**(-1/3)*m**5)**(-3/7)*(m**(-3/4)*m*m**1/m)/(m**5/m**(2/17)) assuming m is positive.
m**(-451/68)
Simplify (((s/((s/(s*(s/(s*s**(5/7)*s*s*s))/s))/s)*s*s**(1/3))**35)**(2/19))**(15/2) assuming s is positive.
s**(-725/19)
Simplify (((t*t*t**(1/10)/t)/((t**(-12)*t)/t))/((t*t**(15/7)/t)/t)**(-3/11))**(2/71) assuming t is positive.
t**(10327/27335)
Simplify ((h/h**(-4/5))/((h*(h/h**(-1/4))/h)/h))**20*((h**(-6)*h)/h**(-3/2))**(-12) assuming h is positive.
h**73
Simplify s**5*s*(s*s**(6/5)/s)/s*(s**(1/2))**(-2/3)*((s*s*s/s**(-1))/(s/(s**(-2/3)*s)*s))**(-7/5) assuming s is positive.
s**(13/5)
Simplify (w**(2/3)*w)**49/(w**(-5/4)*w**(-8)*w)*(((w*w/(w**3*w))/w)/w*w/w**(-9))/(w**(-4)/w**3) assuming w is positive.
w**(1235/12)
Simplify ((g**(-2)/g)**13)**0/((g**(-1/2))**25*((g/(g/(g*g**(-1)*g)))/g)**(-2/95)) assuming g is positive.
g**(25/2)
Simplify ((s**(1/15)/(s**(-1)*s))/(s**3/s**(-3)))/(((s*s*s*s*s*(s**(-1)*s)/s*s*s)/s*s)**(-3/26)/(s**(5/2)*s**(-1/4))) assuming s is positive.
s**(-2333/780)
Simplify ((((d**10/d)/d*d**2)/(d**(-2)/d)**(-33))**(-38))**(2/87) assuming d is positive.
d**(6764/87)
Simplify (((p/(p*(p/((((p*p**(1/3)/p)/p)/p)/p*p*p))/p))/p)/((p*p*p**1)/p))**31*p/p**(2/3)*p*p*p**(-2/7)*(p**(2/5))**(13/4) assuming p is positive.
p**(-23167/210)
Simplify (b*b**25)/(b**(-6/5)*b)*b**34*b**(-3/5) assuming b is positive.
b**(298/5)
Simplify ((s*s*s/s**(-12))/(((((((s*s**(2/33)*s*s)/s)/s)/s)/s)/s)/s))**(-3)/((s**2)**(-1/79)*s**(-8)/(s**(-2)/s)) assuming s is positive.
s**(-42401/869)
Simplify ((n*n/n**(-12)*n**(-2))/(n**(-1/8)*n*n/(n*n**13)*n))**(-4/9) assuming n is positive.
n**(-185/18)
Simplify (j/j**4*j*j**(-6)/j)**(-2/65)*((j*j*(j**(-2/7)*j*j)/j*j)**17)**(2/79) assuming j is positive.
j**(67414/35945)
Simplify (b**(-4)/(b*(b**(-10/9)*b*b)/b))**(-5)*b*b/(b*b**(2/7)*b)*b*b*b**1*b*b**(-1/4)*b/b**(-4) assuming b is positive.
b**(8293/252)
Simplify (((((j/(j*(j**(2/9)/j*j)/j))/j)/j**(1/7))/(j**(1/9)*(j*j**(-6/5)*j)/j))**(5/3))**(-6/5) assuming j is positive.
j**(58/105)
Simplify (((x*x**(1/7)*x*x**(-2/21))**(13/6))**(-8/7))**(-33) assuming x is positive.
x**(24596/147)
Simplify (p**(-24)/(p/(p*((p*p**(1/11))/p*p)/p*p)*p*p))/(p**1*p/(p*p*(p*p**(-1/3)*p)/p*p*p)*p) assuming p is positive.
p**(-767/33)
Simplify (c/c**(-5)*c**(-6/7)*(c*c/(c*c/(c*c**(-1)*c*c)))**(-43))/((c/(c*c*c**7))/(c/c**(-1/2)))**(-10/7) assuming c is positive.
c**(-661/7)
Simplify (s**(-10/3)/(s/(s/(s*s**10/s)))*(s**(2/3))**(-23))**(-10/3) assuming s is positive.
s**(860/9)
Simplify ((m*m**(-2/3))/(m*m**(-3/5))*m**(-3/5)/((m*m*m**(-2/7))/m))/((m*m**(1/4))**28/((m*m*m/(m/m**2))/m*m/m**6)) assuming m is positive.
m**(-806/21)
Simplify (((i/(i*i**(5/9)))/i)**29*i**(-2/5)/(i*i*i**27/i*i*i))**(-39) assuming i is positive.
i**(44174/15)
Simplify ((t/(t*t**17))/t**(-2/19)*(t**7)**33)**(-48) assuming t is positive.
t**(-195264/19)
Simplify (t*t*t**(-4)*t*(t**(-2/9)*t*t)/t*t*t)**(-35)/(t**(-1)*t**(2/9)/t)**41 assuming t is positive.
t**(32/3)
Simplify (k**(-9)*(k/(k*k**(4/11)))/k*(k**(-2/3))**(9/4))/(((k/k**(-1/4))/k)**(-43)*k**0/k**4) assuming k is positive.
k**(127/44)
Simplify (((b/(((b*b**(-2)/b)/b)/b))/(b/(b/(b/(b*b*b*b**(-17))*b))))/(b**(-4))**(-1/63))**(-4) assuming b is positive.
b**(2788/63)
Simplify (b*b**5*b**(-6)*b*(b/((b/b**0)/b*b))**20)/(((b*(b/(b/b**0))/b)/b)**(-19/3))**(-21) assuming b is positive.
b**134
Simplify (d*d*d**0*d*d)**(-1/47)/(d**(1/2)/d*d/(d/d**(-6/7))*d*d)*d**4*d/(d**2/d)*(d**(-1/
|
{
"pile_set_name": "DM Mathematics"
}
|
+ u*m**3 + q + v*m**2 and give v.
-12
Rearrange -3*q + q + 4*q + 1 + (2 - 5 - 1)*(2 - 2 - q) + 0*q - 2*q + 0*q to h + o*q and give o.
4
Express -3*s - 9*s**3 + 5*s**3 - 4*s**3 in the form q + w*s**3 + n*s + g*s**2 and give w.
-8
Rearrange -39*a**2 + 75*a**2 - 2*a - 36*a**2 - 55*a**3 to i*a + c + o*a**3 + v*a**2 and give o.
-55
Express -3*o**2 + 7*o + 3 - 10*o + 3*o - 2*o**3 as h*o + g + s*o**2 + j*o**3 and give j.
-2
Rearrange 407 - 407 + 30*m + 36*m to a*m + u and give a.
66
Express -5 + 12 - 5 + 7*i**3 - 4 in the form y*i**2 + k*i + t + u*i**3 and give u.
7
Express 0*m + 7*m**2 - 10*m**2 + 6*m as o*m + y + n*m**2 and give n.
-3
Rearrange (-10*j + 4*j + 4*j + 1 - 2*j - 1 + (3*j - 7*j + 3*j)*(-1 + 5 - 3) - 4*j + 2*j + j)*(4 + 3 - 5) to c*j + l and give c.
-12
Express (m - m - m)*(-4 - 6*m + 4) + 61*m - 7*m**2 - 61*m + (m**2 + 4 - 4)*(-2 - 2 + 6) as f*m + o + p*m**2 and give p.
1
Express 4*k**2 - 89*k + 2*k**2 + 86*k - 3*k**2 in the form h + n*k + t*k**2 and give n.
-3
Rearrange (-12 - 69 - 19)*(-d + 4*d - d)*(1 - 2 + 2) to c*d + f and give c.
-200
Express (-9*c + 4*c - 12*c - 4*c)*(2*c**2 + 0*c**2 - 8*c**2) as u*c**2 + i + p*c**3 + s*c and give p.
126
Express (3*a**2 + 2 - 2)*(-2*a**2 + 3*a - 3*a)*(-1 + 3 - 4) in the form c*a**2 + w*a + v*a**3 + z*a**4 + d and give z.
12
Rearrange (-2*n - 16 + 15 + 17*n)*(-3 - 3 + 7) to u*n + p and give p.
-1
Express 3*a + 22 + 21 - 31 as u*a + n and give n.
12
Rearrange 6*c**3 + 0*c**3 - 6 + 2*c + 7 to the form k*c**2 + z*c + j*c**3 + r and give j.
6
Express -1 + q**3 - 51*q**2 + 7*q**2 + 1 in the form l + y*q**2 + k*q**3 + j*q and give j.
0
Express 8 - 9 - 8*m + 7*m as u*m + o and give o.
-1
Express -26*k + 20*k + 67*k + 74*k in the form p*k + f and give p.
135
Express 0*f**2 + f**2 + f**2 + (1 + 2 - 4)*(0*f**2 + f**2 + f**2) + 0*f + 0*f + f**2 + (0 + 1 + 0)*(-3*f + 3*f + 2*f**2) as y*f + n*f**2 + t and give y.
0
Rearrange (0 + 2*o + 0)*(2 + 0 - 3 - 3*o) - 21*o**2 + 19*o**2 + 9 + 4 to the form m + s*o + j*o**2 and give m.
13
Express -q**3 + 4*q + 0*q**3 + 2*q**3 + q as n*q + k*q**3 + w + r*q**2 and give n.
5
Express -15*s**3 + 15*s**3 - 4*s**4 + (-3*s**2 - 1 + 1)*(3*s**2 + 2*s**2 - 3*s**2) in the form c*s**4 + r + j*s**3 + f*s + k*s**2 and give c.
-10
Rearrange 6*s - 2*s**4 - 7*s + 3*s**4 - 2*s**2 + 0*s**4 to r*s**3 + x + f*s**2 + h*s**4 + c*s and give h.
1
Rearrange (2 + 0 + 13)*(-3 + 3 - 1)*(-j**3 + 0*j**3 - 2*j**3) to q + i*j**2 + t*j**3 + h*j and give t.
45
Rearrange (29 - 16 + 3*j - 18)*(3 + 1 - 3)*(-4 - 2 + 5)*(23 - 8 + 1) to t + d*j and give t.
80
Rearrange -18 - f**2 + 3*f**2 + 26 - 2*f to w*f + b + a*f**2 and give w.
-2
Express 5*o - 6*o + 3*o in the form h*o + x and give x.
0
Express -2*h + 5*h + 5*h**2 - 2*h in the form k*h + s*h**2 + d and give s.
5
Express 5*n - 2*n - 4*n in the form a + r*n and give r.
-1
Rearrange 3*h - 2*h**3 - 5*h**2 + 2*h**3 + 3*h**2 + 2*h**3 to the form n*h + f + q*h**3 + p*h**2 and give n.
3
Rearrange -25*z + 25*z - 8*z**3 + (z**2 - z**2 - z**2)*(-5 + 5 + z) to y + p*z + v*z**3 + f*z**2 and give v.
-9
Express -5*a**2 + a - a + 529*a - 9*a**2 - 529*a + (-4*a - a + 3*a)*(0 + 0 - a) in the form b*a + f + l*a**2 and give l.
-12
Rearrange -2*t - 3*t**4 + 7*t**2 + t**2 - 6*t**2 + 5*t to j*t + v*t**2 + b*t**4 + h + m*t**3 and give v.
2
Rearrange (2*u + 4 + 2*u - 3)*(-u**3 - 3*u**3 - 5*u**3) to the form f*u**3 + p*u**4 + a*u**2 + h*u + x and give p.
-36
Rearrange -5*q**2 - q**3 + 2 + q + 0*q**2 + 3*q**2 to the form u*q**3 + x + p*q**2 + h*q and give u.
-1
Express 3*x + 0*x**2 + x**2 - 2*x - 2 in the form s*x**2 + i + p*x and give i.
-2
Express 20*s + 3*s + 9*s + (2*s - 2*s - s)*(1 - 3 + 0) + 0*s + 0*s - s + 0*s - 4*s + 2*s as m + q*s and give q.
31
Rearrange -2*z - 2*z**2 + 2*z + (1 - 9 - 3)*(2 - z**2 - 2) + (z + 2*z - 5*z)*(8*z + 5*z - 3*z) to the form s*z + g*z**2 + x and give g.
-11
Rearrange 2*n**2 + 0*n**4 + n - 3*n**2 + n**4 + 2*n - n**3 - 3 to the form k*n**2 + z*n**4 + y + b*n + c*n**3 and give k.
-1
Express (3*i + i**2 - 3*i)*(i**2 - 28 + 29 + 0*i**2) in the form x*i + t*i**2 + b*i**4 + y + s*i**3 and give b.
1
Rearrange (-9*o + 9*o - 3*o)*(-3 - 1 - 1) to u + r*o and give r.
15
Express 2*k - 4*k + k**4 + 4*k**3 + 2*k**2 - 5*k**3 + 6 in the form d + s*k + t*k**4 + u*k**2 + f*k**3 and give t.
1
Rearrange (-2*t + 2*t + 2*t)*(1 + 5 - 7 + (2 - 2 + 1)*(-2 - 4 + 2)) to the form o*t + x and give x.
0
Rearrange (3 + 3*i - 3)*(-2*i - 2*i**2 + 2*i) + 4*i**3 + 0 + 0 to the form f*i + j*i**2 + h*i**3 + l and give h.
-2
Rearrange -4*n**2 - 4 + 5 + 18*n**2 + 10*n**2 to the form o + u*n**2 + h*n and give u.
24
Rearrange (4*j**2 - 7*j**2 - j**2)*(0*j - 4*j + 0*j)*(-4*j - 3*j + 5*j) to d*j**4 + f*j**2 + h*j + v + q*j**3 and give f.
0
Rearrange (3*b**3 - 3*b**3 - b**3)*(1 - b - b - 2) to d*b + u*b**3 + j*b**2 + q + g*b**4 and give g.
2
Rearrange (-o + 2*o - 2*o)*(1 + o - 1)*(o + 16*o + 6*o) to i*o + f*o**3 + d*o**2 + k and give f.
-23
Rearrange 6*t**3 - t - 6*t**3 + 5*t**4 + t**2 + 2 - 4*t**4 to the form o*t**3 + g*t**2 + p*t + n + r*t**4 and give r.
1
Rearrange (2 - 4 + 1)*(-2*v**3 - v**3 + v**3) + (-4*v**3 + 2*v**3 + 4*v**3)*(1 + 1 - 3) - 2*v**3 - 2*v**3 + 5*v**3 to b*v**3 + u + a*v**2 + r*v and give a.
0
Rearrange -5*i**4 + 6 + 12*i**4 + 0 - 1 + 2*i**3 to the form k*i**4 + y*i**3 + l*i + h*i**2 + r and give r.
5
Rearrange -t**2 + 3*t**3 - 4*t**3 - 2*t**2 - t to u*t**3 + b*t + y + w*t**2 and give b.
-1
Express (-35*t - 4 + 4)*(t**2 - 2*t + 0*t**2 + 0*t) as v + j*t**2 + u*t**3 + f*t and give u.
-35
Express (4 - 4 + x)*(1 + 0 - 4)*(-94 - 22 + 8) in the form f*x + t and give f.
324
Express -1 + 0*z**3 - 2 + 3*z**3 - z**2 - 2*z**3 as t*z**2 + s*z + k*z**3 + g and give g.
-3
Rearrange (-8 + 3 + 32)*(0*k - 2*k + k) to the form o + g*k and give o.
0
Express (4*p - 2*p - 2*p**2 - 4*p)*(1 - 4 + 4) as x*p**2 + q + u*p and give x.
-2
Rearrange 10*a**2 + 16*a - a**2 + a**2 - 15*a to d*a + l*a**2 + u and give l.
10
Express z + 4 - 4 - 13*z as b*z + h and give b.
-12
Express -16*n**3 + 8*n**3 - 3*n**4 + 10*n**3 - 2*n + 2 as q*n**4 + b*n**3 + r + o*n + p*n**2 and give p.
0
Rearrange (1 - 2 + 2)*(-2 + 2*i - 5 + 4) to n + j*i and give n.
-3
Express -c**3 - 2*c**4 + 3*c**2 - 2*c - 7*c**2 + 3*c**2 + 4*c**2 in the form o*c + w*c**2 + d*c**4 + i*c**3 + m and give i.
-1
Rearrange 1 - 1 + 3 + 11*m to the form r + p*m and give p.
11
Rearrange (2*j**4 + 0*j**4 - j**4)*(3 - 3 + 2) - 3*j**4 - 11*j + 11*j - 3*j + 3*j + 3*j**4 to the form p*j**3 + n*j**2 + s*j + g*j**4 + w and give g.
2
Rearrange (-3 + 3 + 2*t)*(t**2 - 5*t - 2*t**2 + 13*t**2) to the form c*t + j*t**3 + a*t**2 + o and give j.
24
Rearrange (-m + m - 2*m + (-3 + 4 - 3)*(-m - m + 5*m) + 3*m - m - m)*(-6*m**2 - 2*m**2 - m**2) to the form u*m**3 + f*m + x*m**2 + l and give u.
63
Rearrange 13 - 24*k + 10 - 22 to the form b + p*k and give p.
-24
Rearrange -2 + 2*y + 0*y + 16 + 2 to v*y + i and give i.
16
Rearrange (4*f - 4*f + f + (2*f - f - 3*f)*(2 + 0 - 1) + f - 4*f + 2*f)*(-2 - 2 + 2)*(-6 + 4 - 1) to the form g*f + n and give g.
-12
Rearrange (-8*m**2 - 14*m**2 + 4*m**2)*(0 + 2*m + 0) + (-2*m**3 + 8*m**3 - m**3)*(4 + 4 - 7) to u + j*m + z*m**2 + o*m**3 and give o.
-31
Rearrange -2 + 7*r**3 + r**4 + r - 15*r - 9*r**3 to the form b*r**3 + v + j*r**4 + p*r**2 + g*r and give g.
-14
Rearrange -26*p**2 + 101*p**2 - 50*p**2 to j*p + s*p**2 + m and give s.
25
Express 16*n**2 + 96*n**3 - 197*n**3 + 99*n**3 + 3*n**2 in the form v + h*n + a*n**2 + f*n**3 and give v.
0
Express -61*p**4 + 14*p**4 - 43*p**4 + (2*p**2 - 6*p**2 + 2*p**2)*(5*p**2 - 2*p**2 - p**2) as g*p**2 + c + j*p**3 + t*p + z*p**4 and give z.
-94
Express (3*x**2 - 3*x**2 + 2*x**3)*(1 + 0 + 0) - 1 + 1 - x**3 - 3*x**3 + 5*x**3 + 2*x**3 + x**2 - x**2 - 2*x**3 as d*x + o*x**2 + f + r*x**3 and give r.
3
Express 4*i - 2*i + 0*i + 4*i + 0*i - 6*i + (2*i + 2*i - 2*i)*(-1 + 6 - 6) in the form o*i + y and give o.
-2
Express 35*v**2 + 116*v - 57*v - 59*v in the form x + b*v**2 + c*v and give b.
35
Rearrange -2*q**2 + 0*q**2 + 0*q**2 + (-2 + 2*q + 2)*(-2*q - 1 + 1) - 2*q**2 + 4*q**2 - q**2 - q**2 + 2*q**2 + q**2 to the form f*q + x*q**2 + g and give x.
-3
Rearrange -7983*j + 7983*j + 2 - 40*j**2 to k*j + s*j**2 + d and give d.
2
Express (2*r - 4*r + r)*(-3*r - 2 + 2) + (-2*r + 3*r + r)*(-2*r - 2*r + 5*r) in
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 b.
1/14
Two letters picked without replacement from {b: 1, m: 2, o: 8, z: 3, r: 1, k: 5}. Give prob of picking 1 m and 1 o.
8/95
What is prob of picking 1 e, 2 f, and 1 s when four letters picked without replacement from {e: 4, f: 2, s: 2, c: 1}?
4/63
Three letters picked without replacement from {y: 7, b: 2, w: 4}. Give prob of picking 2 w and 1 y.
21/143
Calculate prob of picking 1 y, 1 f, and 2 t when four letters picked without replacement from dpytftflyptp.
4/165
Four letters picked without replacement from eaglhahxelha. Give prob of picking 3 a and 1 g.
1/495
Two letters picked without replacement from zzozoozmozoooozmo. What is prob of picking 1 m and 1 z?
3/34
Four letters picked without replacement from bbbbibiibibbbbbbib. Give prob of picking 4 i.
1/612
Four letters picked without replacement from {o: 10, i: 6, a: 4}. What is prob of picking 1 o and 3 i?
40/969
What is prob of picking 2 o and 1 z when three letters picked without replacement from ozzzozo?
12/35
Three letters picked without replacement from {w: 3}. Give prob of picking 3 w.
1
What is prob of picking 1 s and 1 v when two letters picked without replacement from sswrlvw?
2/21
Two letters picked without replacement from {w: 2, b: 6, x: 3, f: 3, d: 1, y: 4}. What is prob of picking 1 b and 1 d?
2/57
Calculate prob of picking 3 w and 1 u when four letters picked without replacement from {w: 8, y: 7, u: 1, l: 4}.
56/4845
Three letters picked without replacement from {r: 4, k: 9, y: 4}. Give prob of picking 2 r and 1 k.
27/340
Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {b: 13, g: 3}.
13/40
Calculate prob of picking 1 i, 1 r, and 1 n when three letters picked without replacement from ninnvvninvvnddrnvdv.
14/969
Two letters picked without replacement from wqmmdoq. What is prob of picking 1 d and 1 m?
2/21
Three letters picked without replacement from eelllxeealfflwa. What is prob of picking 1 f and 2 a?
2/455
What is prob of picking 1 v and 1 w when two letters picked without replacement from {f: 5, v: 4, n: 2, w: 4}?
16/105
Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 12, e: 1, z: 7}.
6/95
Two letters picked without replacement from vdbvbbbvd. Give prob of picking 1 v and 1 b.
1/3
Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {u: 4, r: 1, d: 3}.
3/28
Two letters picked without replacement from {j: 1, s: 2, e: 4, l: 2}. What is prob of picking 1 l and 1 e?
2/9
Calculate prob of picking 2 v when two letters picked without replacement from vjvj.
1/6
Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {w: 2, v: 2, n: 6, d: 3}.
3/143
Four letters picked without replacement from {e: 6, t: 3, b: 4}. Give prob of picking 1 b and 3 t.
4/715
Two letters picked without replacement from {i: 5, j: 1, n: 1, s: 3, f: 3, k: 2}. Give prob of picking 1 k and 1 j.
2/105
Calculate prob of picking 3 d when three letters picked without replacement from {e: 8, d: 3}.
1/165
What is prob of picking 1 u and 1 h when two letters picked without replacement from hcyhchushuhhchhyh?
9/68
What is prob of picking 2 b when two letters picked without replacement from {b: 4, l: 6, r: 3, v: 3, d: 4}?
3/95
Two letters picked without replacement from {w: 2, z: 4, p: 1, i: 4, k: 3, d: 1}. Give prob of picking 1 k and 1 i.
4/35
Calculate prob of picking 2 z when two letters picked without replacement from zzzoqqfzgzoq.
5/33
Three letters picked without replacement from {s: 2, b: 1, q: 1, r: 3, e: 5}. Give prob of picking 1 q, 1 s, and 1 b.
1/110
Two letters picked without replacement from kakvkhkav. Give prob of picking 1 v and 1 a.
1/9
Three letters picked without replacement from {k: 1, t: 2, p: 1, u: 1}. What is prob of picking 1 u, 1 k, and 1 p?
1/10
Three letters picked without replacement from {p: 2, z: 2, v: 4}. What is prob of picking 1 v and 2 z?
1/14
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, e: 2, k: 1, a: 1, u: 4, d: 2}.
4/91
What is prob of picking 2 v and 2 b when four letters picked without replacement from gbbqgvdgbvqgqbggdgg?
1/646
What is prob of picking 2 p and 2 j when four letters picked without replacement from pjjpjjjj?
3/14
What is prob of picking 1 m, 1 b, and 1 d when three letters picked without replacement from dddbdyqydddmdbodobo?
9/323
What is prob of picking 2 n and 2 f when four letters picked without replacement from nnnpffnfnnfnn?
168/715
What is prob of picking 2 h when two letters picked without replacement from {h: 2, l: 4, j: 7, t: 1}?
1/91
Two letters picked without replacement from rbrrdrbddr. What is prob of picking 2 b?
1/45
Four letters picked without replacement from {x: 1, p: 1, r: 2, n: 1, y: 1, q: 2}. Give prob of picking 1 q, 2 r, and 1 y.
1/35
Two letters picked without replacement from {m: 1, j: 2, x: 1, a: 3, q: 3, w: 2}. Give prob of picking 2 a.
1/22
What is prob of picking 1 d, 1 y, 1 i, and 1 s when four letters picked without replacement from cidcccdcsddyyysdidid?
42/1615
Calculate prob of picking 1 y, 2 l, and 1 u when four letters picked without replacement from {l: 2, y: 1, u: 1, f: 1, m: 1, d: 1}.
1/35
Three letters picked without replacement from iiiiiiiiyiyiyiiiiiiy. What is prob of picking 2 i and 1 y?
8/19
Three letters picked without replacement from vvfvvvzvyfz. What is prob of picking 1 v and 2 z?
2/55
What is prob of picking 1 m, 1 v, 1 h, and 1 d when four letters picked without replacement from {v: 2, u: 3, q: 1, m: 3, d: 1, h: 2}?
4/165
Calculate prob of picking 2 b and 1 e when three letters picked without replacement from {h: 3, e: 3, b: 3, n: 1, x: 1}.
3/55
Four letters picked without replacement from ggggggg. Give prob of picking 4 g.
1
What is prob of picking 2 t and 1 b when three letters picked without replacement from {t: 18, b: 2}?
51/190
Two letters picked without replacement from {s: 5, r: 3}. Give prob of picking 2 s.
5/14
What is prob of picking 2 x, 1 f, and 1 c when four letters picked without replacement from hfxcccccxcchfcshhxs?
4/323
Three letters picked without replacement from {a: 1, f: 5, l: 3, i: 1, n: 3}. Give prob of picking 1 a, 1 l, and 1 i.
3/286
Two letters picked without replacement from {k: 2, b: 1, x: 1, u: 1, g: 1, p: 2}. What is prob of picking 1 b and 1 p?
1/14
Calculate prob of picking 3 p and 1 k when four letters picked without replacement from chchhhhhhcapkchkapp.
1/1938
Calculate prob of picking 1 x, 1 g, and 1 k when three letters picked without replacement from {g: 2, k: 1, x: 1}.
1/2
Calculate prob of picking 2 k and 2 r when four letters picked without replacement from krrkkkkkrrkkkk.
270/1001
Calculate prob of picking 1 o and 1 x when two letters picked without replacement from ppooxbbpblxxxxo.
1/7
Two letters picked without replacement from {g: 2, w: 2, x: 4, m: 2, s: 2, i: 2}. What is prob of picking 1 i and 1 g?
4/91
Calculate prob of picking 3 z when three letters picked without replacement from {z: 10, d: 2}.
6/11
Four letters picked without replacement from rgrhzzhrrzrhz. Give prob of picking 3 h and 1 z.
4/715
Three letters picked without replacement from {g: 3, s: 3, x: 10, f: 3}. Give prob of picking 2 s and 1 x.
10/323
What is prob of picking 1 d and 1 q when two letters picked without replacement from {u: 1, m: 2, d: 2, b: 1, q: 2, a: 1}?
1/9
Two letters picked without replacement from {m: 2, q: 1, y: 1, o: 1, b: 2, h: 1}. Give prob of picking 1 y and 1 o.
1/28
What is prob of picking 2 y and 2 j when four letters picked without replacement from {y: 2, j: 3}?
3/5
Three letters picked without replacement from aufhsahshshsihah. What is prob of picking 2 a and 1 h?
9/280
Calculate prob of picking 1 h and 3 f when four letters picked without replacement from ffffffhfffff.
1/3
Three letters picked without replacement from {k: 3, v: 2, g: 3}. Give prob of picking 3 k.
1/56
Three letters picked without replacement from gbdfb. Give prob of picking 1 f, 1 g, and 1 d.
1/10
Calculate prob of picking 3 w and 1 o when four letters picked without replacement from {o: 6, w: 6}.
8/33
Calculate prob of picking 4 x when four letters picked without replacement from rzzzzzxxxx.
1/210
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
f = d + -0.2. What is the third biggest value in g, f, 5?
g
Let h be (-5)/20 + (-65)/492. Let u = h + 2/41. Which is the smallest value? (a) 0 (b) u (c) -1/4 (d) -83
d
Let u = 1974 + -7949/4. Suppose -4*m = q + 4*q + 7, -5*q - 11 = 2*m. Which is the second biggest value? (a) u (b) q (c) 4
b
Let f(z) = 39*z + 74. Let x be f(-2). Which is the biggest value? (a) -1 (b) 5 (c) 33 (d) 1/13 (e) x
c
Suppose -91 - 59 = -10*o. Let h be (-1)/6 + o/45. Which is the second smallest value? (a) 5 (b) h (c) -2 (d) -0.1
d
Let v = 85 - 85.21. Suppose 0*s + 3*s + 87 = -4*y, -5 = s. Let z be (-36)/(-135)*(-15)/y. What is the third smallest value in 5, v, z?
5
Let q = -3577 - -3577.2. What is the third smallest value in 508, q, -4?
508
Let a be (3/2)/((-78)/273 + (-60)/84). Let z = -2.4 + 0.4. Suppose j - 2 = 2. What is the biggest value in 3, j, z, a?
j
Let f = 0.099 + -47.099. Let n = -52 - f. Let t = 28 - 27.7. What is the second smallest value in 1, t, 2, n?
t
Let u(c) = 2 + c**2 + 4 - 11*c + 1. Let s be u(3). Let v = 13 + -25/2. What is the second biggest value in -1, v, s?
-1
Let z = 3883 - 3885. Which is the third smallest value? (a) -103 (b) 9 (c) z
b
Let u = -8764 + 8766. Which is the fourth biggest value? (a) -7 (b) -4 (c) -0.5 (d) 2/11 (e) u
b
Suppose 3 + 2 = -y + 5*l, -3*y = -4*l + 4. Suppose y = g + 17 - 15. Which is the second smallest value? (a) 1/8 (b) 0 (c) g (d) -3/5
d
Let v = -3548 - -3529. Which is the smallest value? (a) 17 (b) -1 (c) v
c
Let o = -827.3 - -832. Which is the third smallest value? (a) 2/21 (b) 3 (c) o
c
Let q = -31 - -3. Let z = -1.24 + 30.34. Let t = q + z. Which is the second biggest value? (a) 2/11 (b) t (c) 2/15
a
Let q = -8 + 6. Let f = -3 + q. Let z = -3.68 + 4.08. Which is the biggest value? (a) -7 (b) z (c) f (d) 3
d
Let k = -12.99 + 13.29. Let h(g) = -2*g**3 - 22*g**2 - 3*g - 34. Let w be h(-11). Which is the fourth smallest value? (a) k (b) w (c) 1 (d) 1/5
c
Let t = 0.5 + -0.5. Let o = -9848 + 10360.1. Let j = o - 512. What is the second smallest value in t, -0.4, j?
t
Let g be 8 + -10 + 4 + 16/(-10). What is the third biggest value in g, -45, -2/9?
-45
Let y be 1 - (11/7 + 48/(-84)). Let p = 0.8 + -1.19. Let k = -0.01 + p. Which is the smallest value? (a) k (b) 2 (c) 2/7 (d) y
a
Let n(i) = -i**2 + 6*i + 2. Let h be n(6). Suppose -h*g = 2*g - 24. Let q be -1*2 - (-14)/g. Which is the second biggest value? (a) 5 (b) -5 (c) q (d) -1/3
c
Let k = -634 - -656. Suppose -k*f = -15*f + 35. Let y = 667/7 + -95. Which is the second smallest value? (a) -14 (b) 1 (c) y (d) f
d
Let g = -23.947 - 16.233. What is the third biggest value in -0.1, g, -3?
g
Let n be (7/5 + (-4)/10)*(-3)/(-12). Let m(k) = -k**3 + 3*k**2 + 6*k - 4. Let p be m(4). Let c = 0.4 + -0.4. What is the third biggest value in n, 1, p, c?
n
Let j be (32 - (-464)/(-12))*3/2. Which is the third smallest value? (a) 2 (b) -9 (c) j (d) 0.8
d
Let r = 7 + -12. Let n = 2014.2 + -2014. Which is the biggest value? (a) r (b) -1 (c) n
c
Let o = -0.0327 - -0.9327. What is the second biggest value in -0.9, o, -0.1?
-0.1
Let n = 129 - -29. Let o = -953/6 + n. Which is the biggest value? (a) o (b) 14 (c) -0.3
b
Let z = -0.05404 + -3.24596. Let g = -0.69 - 0.31. Which is the smallest value? (a) -1/7 (b) z (c) g
b
Suppose 4*v + 6 - 1 = 3*q, 5*v = q + 13. Let y(p) = -p**2 + 6*p + 97. Let l be y(13). Suppose -j = l*j - q. Which is the smallest value? (a) -5 (b) 0.4 (c) j
a
Let n be 1/((-6)/(4/2)). Let c be (-297)/(-594)*3/(-6). What is the smallest value in c, 1/2, 0.2, n?
n
Let m(u) = -12*u**2 + 211*u - 320. Let h be m(16). Which is the fourth biggest value? (a) h (b) 0.4 (c) 1/3 (d) 4 (e) 3
c
Suppose -32*z - 18 = 3*t - 37*z, -4*z = -t - 13. Which is the fourth smallest value? (a) 1/4 (b) 5 (c) t (d) -112
b
Let p = 70.116 - 0.116. Let n = p - 67. Which is the second smallest value? (a) n (b) -1 (c) 1
c
Let k be 13706/55 + -6*2/(-15). Let t = k + -255. Let s = -21.89 - -22. Which is the third biggest value? (a) t (b) s (c) -4
a
Let f(x) = x**2 + 67*x - 118. Let s be f(-69). What is the second biggest value in s, -1/4, 3/4, 5?
5
Let p = 0.216 + -151.216. Let t = p + 149. Which is the second smallest value? (a) 6/7 (b) t (c) -1/6
c
Let t(x) = -x**3 - 43*x**2 + 90*x - 2. Let c be t(-45). What is the fifth smallest value in 0.1, 1, 3, -62, c?
3
Let z = 40.16 - 41. Let b = z + 0.54. What is the smallest value in b, 0.26, 0?
b
Let g(j) = -j**2 + 4*j - 1. Let z be (-8)/(-2) + 1 + -2. Let x be g(z). Let f be 6/45 + (-2)/6. Which is the second smallest value? (a) f (b) x (c) 3
b
Let b = -9383 - -18767/2. Let r = 28 - 36.2. Let k = -1.8 + r. What is the smallest value in b, 5, k?
k
Let s = 3059.313 - -7.687. What is the biggest value in -2, -0.5, s, 1?
s
Suppose 7*s = -q + 2*s - 281, 2*s = -4. Let d = -271 - q. Which is the biggest value? (a) 0.1 (b) d (c) -2
a
Suppose 297*s - 227*s = 210. Which is the fourth smallest value? (a) -0.321 (b) s (c) 4 (d) 1/2 (e) 5
c
Let p = -0.09 + 0.09. Let m = 13 + p. Let s = 10 - m. Which is the smallest value? (a) s (b) 0.2 (c) 5 (d) 0.03
a
Suppose -4*o + 19 = 3*m - 0*o, -o = -4*m. Let j(x) = -368*x + 183*x + 188*x + 1. Let i be j(1). What is the smallest value in m, 3, i, -1?
-1
Let f = -7 + 7.1. Let t = -1.4 + -0.6. Let l = 2125 - 2129. Which is the smallest value? (a) f (b) l (c) t
b
Let m = -0.006 + 243.006. Let w = 243 - m. Which is the third smallest value? (a) 0.3 (b) w (c) -36
a
Let q = 0.2688 + 0.0312. Which is the third biggest value? (a) -22 (b) 1 (c) 6 (d) q
d
Suppose i - 41 = 4*h, 5*i - 36 - 25 = 4*h. What is the fifth smallest value in -2, 0, 2/5, h, -5?
2/5
Let v = 182847 + -182847. Let x = -2.3 + 0.3. What is the biggest value in v, x, -1, 1/2?
1/2
Let w = -3679 + 3696. Which is the fifth smallest value? (a) 0.3 (b) -0.16 (c) w (d) 4/7 (e) 2
c
Let o = -8.21 - -8.01. What is the biggest value in o, 0.4, 0.119, -2/17?
0.4
Let o = -569 + 939.3. Let n = o + -370. Let g = 2/243 - -721/972. What is the second smallest value in 0, n, g, 0.5?
n
Let c = -12/749 + 881/8239. What is the third smallest value in -5, c, -21?
c
Let d = -3156 - -3161. Which is the smallest value? (a) 1 (b) d (c) 8/5
a
Let o = 29.7 - 30. Let z(b) be the first derivative of b**3/3 - 4*b**2 - 97*b + 15. Let p be z(15). What is the third biggest value in -1/7, 0.5, p, o?
-1/7
Suppose 161 + 155 = 4*y. Let h = -41757 + 41756. Which is the third smallest value? (a) 0.3 (b) y (c) h (d) 0
a
Let g = 4063 + -4058.901. Let v = g + -0.099. Let i be (3/6)/(1/(-2)). Which is the third smallest value? (a) -0.3 (b) v (c) i (d) 0.2
d
Let z = -32 + 32.36. Let b = -4.36 + z. Let t = 416/5 - 83. What is the third biggest value in b, t, -2/3, 3/2?
-2/3
Suppose 0 = j - 3*w - 1, -w + 19 = 5*j - 2*w. Let i be 18/j - (-27)/(-18). Let q be ((-1)/(-3) - 0)/(i/6). What is the biggest value in q, 0, 2/15?
q
Let w = -16.35 - -16. Let y = 1.46 - 1.91. Let o = y - w. Which is the second biggest value? (a) -2 (b) o (c) -1
c
Let z = -1/2047 - 4089/10235. What is the fourth smallest value in 4, 39, 6, 0, z?
6
Let v = 0.02516 - 0.32516. Which is the third smallest value? (a) v (b) -2 (c) 2 (d) -15
a
Let o be (-6)/(-21)*(14/21 + 4). What is the third smallest value in -0.1, 2233, o?
2233
Let p = -334864 + 334863.7. Let x = 150 - 597/4. What is the third biggest value in p, x, -0.6, -2?
-0.6
Let n(o) = 133*o**2 + 130*o - 3. Let l be n(4). Which is the biggest value? (a) 0.1 (b) l (c) -4
b
Let r = -414.3 + 414.7. Which is the third biggest value? (a) r (b) 5 (c) 2/7 (d) 6/11 (e) -3/16
a
Let p = -45 + 111. Let k = p - 61. Let l = -92/5 - -19. Which is the second biggest value? (a) l (b) -5 (c) k
a
Let l = -0.00863 - -0.10863. Which is the second smallest value? (a) -1/11 (b) 3 (c) l (d) 0.008
d
Let u = 3/184 + 899/1288. Let x = -29175/4 + 7294. Which is the biggest value? (a) -3/7 (b) u (c) x (d) -1
b
Let v = 19.43 - 19.33. Which is the biggest value? (a) v (b) -2 (c) -1 (d) -5/3
a
Let r = -27348 + 27343. Let u = 6 - 5.6. Which is the smallest value? (a) -0.2 (b) r (c) u (d) -0.02
b
Let h be (-8 + -60 + 17)/(-3). Which is the biggest value? (a) -4
|
{
"pile_set_name": "DM Mathematics"
}
|
563*q - 12 - 3 + 9 as l + n*q and give l.
-2
Rearrange -3*f**4 - 4*f**4 + 88*f**2 - 86*f**2 + 5*f**4 + 75 to d*f**2 + u*f**4 + s + h*f**3 + q*f and give u.
-2
Express (39 - 19 - 17)*(-2*h - 1 + 1) - 1 - 2*h + 4*h - 1 in the form j*h + m and give j.
-4
Express (c + 2 + 4 - 10)*(-c + c + c) - 2*c**2 + 11 + 0*c**2 + 13 as a*c + g*c**2 + o and give o.
24
Express (0*a + a + 2*a)*((0 - 3 + 2)*(0*a - 3*a + 5*a) - 63 + 63 - 11*a) as d*a**2 + k*a + t and give d.
-39
Express -2*u**2 - 405*u - 424*u + 637*u + (-3*u + 3*u + u)*(-1 + 1 - u) in the form n + a*u + t*u**2 and give t.
-3
Rearrange -13*y - 7*y**3 + 1 - 49*y**3 + 2*y + 5*y + 7*y - 2*y**2 to the form s + r*y**3 + q*y + g*y**2 and give s.
1
Rearrange 612*x**4 - 1 + 2*x**2 - 613*x**4 - 5*x**3 - 8*x**3 + 0*x**2 - x to b*x + l*x**2 + g + a*x**4 + y*x**3 and give b.
-1
Rearrange -705*j**2 - 3 - 1 + 13*j + 3 + 704*j**2 to w*j + z*j**2 + f and give w.
13
Express 30*u**4 + 14 - 14 - 2*u**4 - 3*u**4 + 4*u**4 + (-2*u**3 + 0*u**3 + 0*u**3)*(u - 2*u - 2*u) as f*u**3 + p*u**4 + q*u + t*u**2 + a and give p.
35
Express 16 - 16 - 43*u - 244*u - 46*u in the form s + y*u and give y.
-333
Express -367*h**3 - 1 + 4 + 4*h**2 + 735*h**3 - 373*h**3 in the form g*h**3 + q*h + x + b*h**2 and give g.
-5
Rearrange -1 - 3 - 10 + 17 - 132*y + 1 to a*y + l and give a.
-132
Express (40 - 10 - 10)*(-28*t - 3 + 3) as h*t + u and give h.
-560
Express 38 + 3*k**2 + 0*k**2 - 11*k**2 + 4*k**2 in the form h*k + c + i*k**2 and give c.
38
Rearrange (d - 6*d + 4*d)*(1 + d - 1) + (3*d + 4 - 4)*(-1 + 1 + d) + 3 + 6*d**2 - 3 to y*d + h + g*d**2 and give h.
0
Express 1855*b**3 + 4*b**2 - b - 1863*b**3 - 1 + 1 in the form t*b + g*b**3 + o + m*b**2 and give m.
4
Express (11 - 7 + 18 + (0 - 1 + 0)*(2 - 2 + 1))*(2*p**4 + 4*p**4 - p**3 - 4*p**4) in the form z*p**2 + f*p**3 + a*p**4 + l + i*p and give a.
42
Rearrange (0 - 3 + 2)*(-4*n + 2*n - 382 + 356) to the form s + q*n and give s.
26
Rearrange -2 - 8*j + 9*j + 3*j**2 + 25 - 8*j**2 + j**2 + 4*j**2 + (j + 1 - 1)*(-5*j + 3*j + 4*j) + j**2 + j**2 + 0*j**2 to q*j**2 + f*j + b and give q.
4
Rearrange -2 - 3366*o**3 + 97*o**2 - 299*o**2 + 3368*o**3 to the form j*o + x*o**3 + y*o**2 + w and give y.
-202
Express 378 + 4*l**2 - 3*l**2 - 378 + 51*l in the form a + w*l**2 + m*l and give w.
1
Rearrange (-9 + 4 - 9)*(-9 + 4 - 2)*(0 + 0 - 2)*(-d**2 + 0*d + 0*d) to a + j*d**2 + c*d and give j.
196
Express (-288 + 512*g + 144 + 144)*(1 - 2 - 1)*(0 + 2 - 3) as f*g + y and give f.
1024
Rearrange (u - 2*u**2 - u + (7 + 11 - 11)*(2 - 2 + 2*u**2) - 4*u**2 - u**2 + 3*u**2)*(-14*u - u + u) to the form p*u**2 + w + y*u**3 + x*u and give y.
-140
Express -4 - 513*r**2 + 5*r - 5*r - 1 + 6 in the form c + z*r + s*r**2 and give s.
-513
Rearrange (f + 4 - 3 - 3)*(2 - 2 - 1)*((-4 + 4 + 1)*(42 - 11 - 15) - 1 - 4 + 3) to b + r*f and give b.
28
Rearrange 594*g**2 - 1303*g + 34*g**2 + 332*g**2 + 1305*g to the form o*g + s + i*g**2 and give o.
2
Express 53*i - 2 + 118*i + 90*i + (-1 + 0 + 0)*(-5*i - i + 3*i) + 2 - 2 + i as x + r*i and give x.
-2
Express s + 18*s**2 + 21*s**3 - 60*s**3 - 44*s**2 + 30*s**2 in the form m + b*s + u*s**2 + w*s**3 and give b.
1
Express (2*m**2 + 3*m**2 + 5*m**2)*(58 - 60 + 7*m + 36*m) in the form b*m + d + l*m**2 + r*m**3 and give l.
-20
Express -3 + 103*i**3 - 2*i + 24*i**3 - 14*i**3 as x*i + s + w*i**3 + d*i**2 and give s.
-3
Rearrange (-2*f - 2*f + 2*f)*(-1855*f + 88*f - 196*f + 2) to n + m*f + r*f**2 and give m.
-4
Express -57*c + 10455 - 10455 - 834*c as w + i*c and give i.
-891
Rearrange (0*x**3 + x**3 + x**3)*(2 + 12*x + 1 - 1) + (7*x**2 - x**2 - 2*x**2)*(3*x + 12*x**2 - 3*x) to z*x**3 + d*x**2 + h*x**4 + k*x + t and give z.
4
Rearrange (3*r + 0*r - r)*(0 + 0 - 2)*(-1 + 0 - 1)*(49 - 1 - 2) to the form k + n*r and give n.
368
Rearrange (-1 + 1 + 1)*((-4*f**3 + 0*f**3 + 2*f**3)*(f + 2*f + 0*f) - 22*f**2 + 22*f**2 + 20*f**4)*(5 + 0 - 3) to v*f**3 + n + l*f**2 + t*f**4 + k*f and give t.
28
Express -q - 28*q - 19 + 12 + 8 + 4 in the form v + x*q and give x.
-29
Express (0 - 1 + 5)*(-8 - 6 + 9)*(0*k + 3*k + 3*k) as u + d*k and give d.
-120
Express (2 - 2 + f**3)*(2 + 0 - 1) + f**3 - 735 - 6*f**3 + 765 in the form q + m*f + d*f**3 + i*f**2 and give d.
-4
Rearrange 697 + 4*j - 12*j - 701 + (-3 - 4 + 5)*(9 - 2 + 5)*(-2*j + 0*j + j) to r + f*j and give r.
-4
Express (3 + 5*w - 3)*(2 + 25 + 74 + 16) as h + o*w and give o.
585
Rearrange 66*x - 1271 + 1271 to the form l*x + c and give l.
66
Rearrange (-36 + 27 + 277 - 2*y)*(0*y**2 - 2*y**2 - y**2) to i + f*y**2 + l*y + x*y**3 and give l.
0
Rearrange (-15*h**2 - 83 + 83)*(-h + 2*h + 2*h) + (2*h - 2*h + h**3)*(1 - 2 - 6) to the form l + f*h**3 + a*h + w*h**2 and give f.
-52
Express 1 - 1 + 3*y**4 + (0*y + 3*y - y)*(-y + y - y**3) - 594*y**4 + 1032*y**4 - 570*y**4 in the form m*y**4 + a + v*y**3 + p*y + f*y**2 and give m.
-131
Express 50*r**2 - 74*r**2 + 1 + 23*r**2 + 2*r - 2*r**4 in the form z + o*r**2 + u*r**3 + t*r**4 + k*r and give k.
2
Rearrange ((o - 3*o + o)*(2 - 3 + 3) - 2*o + 0*o + 0*o)*(-5*o**3 + 7*o**3 - 19*o**3) to q*o + l*o**4 + h + p*o**2 + g*o**3 and give l.
68
Express -159*d - 224*d + 76*d - 213*d as y + b*d and give b.
-520
Express (-6*g - g + 0*g)*(-2 + 2*g**2 + 2)*(-5*g + 4*g + 3*g) in the form j + l*g**4 + r*g + q*g**2 + v*g**3 and give l.
-28
Rearrange 6*k**4 + 0 + 0 + (-2 + 7 + 2)*(-3*k**4 + 3*k**4 - k**4) to b*k + o + c*k**3 + w*k**4 + n*k**2 and give n.
0
Express 2 - 8*o + 13*o - 38*o**2 - 4*o - 3*o**4 - 2*o**4 + 7*o**4 in the form i*o**2 + f*o**4 + q*o**3 + b*o + s and give i.
-38
Rearrange (3*u**2 - 3*u**2 - 2*u**2)*(3*u - 781 + 4*u**2 + 781) to the form c*u**3 + w*u**2 + z*u**4 + d + f*u and give c.
-6
Rearrange 7*r - 4*r + 40*r**3 + 8 + 5*r - 6*r to c + j*r**2 + s*r**3 + m*r and give m.
2
Rearrange (-f + 0*f - 5*f)*(-f**2 + 0*f + 0*f) - 24*f**3 + 8*f**3 - 8*f**3 to the form s*f + n + t*f**3 + j*f**2 and give t.
-18
Express (-r - 3*r + 2*r)*(r**2 - 3*r**2 + r**2) + (-2832*r + 1417*r + 1417*r + 536*r**2)*(2*r - 2*r - 4*r) in the form p + l*r**3 + q*r + g*r**2 and give l.
-2142
Express -450*u**2 - 89956 + 89956 as p + d*u**2 + j*u and give d.
-450
Rearrange (43 - 92 - 21)*(-b**3 + 6*b**3 - 3*b**3 + (-4*b + 4*b - 2*b**3)*(-4 - 1 + 4)) to the form p*b**2 + q*b**3 + l*b + f and give q.
-280
Express (2*d + 0*d + 2*d)*(-3*d**3 + 9*d**2 - 9*d**2) + 4*d**4 - 3*d**4 + 10*d**4 as m*d**2 + p*d**3 + z*d**4 + r*d + i and give z.
-1
Express 20*u + 26*u - 55*u + 23*u + 4 as p*u + q and give p.
14
Express 1251 - 1251 - 81*n + 104*n**2 - 11*n**3 + 81*n as o + r*n**3 + l*n**2 + z*n and give r.
-11
Express 3167*c**2 - 1580*c**2 - 1584*c**2 - 1 - 6*c**3 in the form g*c**3 + s*c + k + y*c**2 and give y.
3
Rearrange (167*s + 4 + 194*s - 4)*(-3*s + 3*s - s**3) to the form d + x*s**2 + a*s**4 + c*s**3 + g*s and give a.
-361
Rearrange (2*v**2 + 4*v**2 - 3*v**2)*(13 - 13 - 4*v + v**2)*(-4 + 5 + 7 + (-5 + 0 + 2)*(4 - 5 + 3)) to the form k*v + g*v**4 + d*v**2 + u + x*v**3 and give x.
-24
Rearrange (n - 4*n + n)*(5 - 4 - 2) - 2811 + 2811 + 71*n + (-2 - 1 + 1)*(-2*n + 12 - 12) to the form p*n + y and give p.
77
Express -5189 + 5189 - 1022*y**2 + (-1 + y + 1)*(5 - 2*y - 5) as a*y + c*y**2 + z and give c.
-1024
Rearrange 6*g**2 - 2*g + 233*g**3 - 3*g**2 + 4*g**4 - 236*g**3 to j*g**3 + s*g**2 + l + z*g**4 + x*g and give x.
-2
Express (19*u**2 + 47*u**2 + 103*u**2)*(-2 - 2*u + 2) + 5*u**3 + 6*u**3 - 6*u**3 as d*u + y + r*u**3 + z*u**2 and give r.
-333
Rearrange (-1 - 3 + 3)*(-517 - 109 + 22)*(-1 + 1 + h) to the form r*h + b and give r.
604
Rearrange 6*p**2 - 3*p**2 + 4*p**2 + 2*p**2 + p**2 + p**2 + (-2*p + p + 2*p)*(4*p + 7 - 7) - 3*p**2 + 2*p**2 + 0*p**2 to the form a*p**2 + n*p + r and give a.
14
Express -t**4 + 193*t - 102*t + 1 - 98*t + 2*t**2 - 3 as m*t**4 + a*t**3 + v + d*t**2 + o*t and give m.
-1
Express 22*t**4 - t**2 - 3 + 0*t**3 + 2*t**3 - 22089*t + 22089*t in the form m*t**4 + y*t**3 + i*t + s*t**2 + g and give m.
22
Express 4*u**4 + 2 - u**4 - 46*u + 44*u**3 + 31*u**3 + 21*u + 23*u in the form q*u + k*u**3 + i*u**2 + o + t*u**4 and give t.
3
Rearrange o - 1 - 56*o**4 - 2*o**2 - 4*o**3 - 50*o**4 + 110*o**4 to the form f*o**4 + q*o**3 + t*o**2 + b*o + r and give r.
-1
Rearrange (-4*z**4 - 2*z**4 + 5*z**4)*(-158 - 147 - 282) to the form x*z**2 + a*z**4
|
{
"pile_set_name": "DM Mathematics"
}
|
f**4 - 82*f**3/3 + 698*f**2/9 - 386*f/9 + 20/3 = 0.
1/3, 3, 10
Factor v**2 - 278*v + 19321.
(v - 139)**2
Let k**4 = 0. Calculate k.
0
Factor -y**2/11 - 1114*y/11 - 310249/11.
-(y + 557)**2/11
Suppose -3*z**3/5 + 72*z**2/5 - 429*z/5 = 0. What is z?
0, 11, 13
Factor -h**2/8 - 71*h/8 + 9.
-(h - 1)*(h + 72)/8
Find a such that -2*a**2/7 - 12*a - 82/7 = 0.
-41, -1
Determine g so that -4*g**4 + 4*g**3 + 36*g**2 + 44*g + 16 = 0.
-1, 4
Solve 2*u**2 + 1868*u + 436178 = 0 for u.
-467
Find q such that -5*q**4 - 100*q**3 - 405*q**2 - 450*q = 0.
-15, -3, -2, 0
Find f, given that -f**4/7 + 9*f**3/7 + 2*f**2 - 36*f/7 - 40/7 = 0.
-2, -1, 2, 10
Determine k, given that -k**3/5 - 48*k**2/5 - 489*k/5 - 442/5 = 0.
-34, -13, -1
Find s, given that -18*s**5 + 54*s**4 + 84*s**3 - 88*s**2/3 - 208*s/3 - 64/3 = 0.
-2/3, 1, 4
Let t**5/4 + 9*t**4/2 + 26*t**3 + 68*t**2 + 84*t + 40 = 0. What is t?
-10, -2
Find v such that v**2/4 - 97*v/2 + 9409/4 = 0.
97
Let -25*f**5/2 - 14755*f**4/2 + 28158*f**3 - 33832*f**2 + 15440*f - 2376 = 0. What is f?
-594, 2/5, 1, 2
Factor -l**4 - l**3 + l**2 + l.
-l*(l - 1)*(l + 1)**2
Determine u, given that -2*u**4 + 48*u**3 + 104*u**2 = 0.
-2, 0, 26
Suppose 10*g**4/7 - 28*g**3 + 1090*g**2/7 - 1152*g/7 - 648/7 = 0. Calculate g.
-2/5, 2, 9
Let 4986289*n**2/6 - 4466*n/3 + 2/3 = 0. Calculate n.
2/2233
Factor 2*t**3/9 + 58*t**2/3 - 2*t/9 - 58/3.
2*(t - 1)*(t + 1)*(t + 87)/9
Factor -b**3/3 + 31*b**2/3 + 22*b.
-b*(b - 33)*(b + 2)/3
Factor -o**3/3 - 101*o**2/3 - 392*o/3 - 388/3.
-(o + 2)**2*(o + 97)/3
Factor p**3/8 - 2*p**2 + 29*p/8 - 7/4.
(p - 14)*(p - 1)**2/8
Factor 7*b**3 - 32*b**2 + 27*b + 18.
(b - 3)*(b - 2)*(7*b + 3)
Let 8*i**3/7 + 74*i**2/7 + 178*i/7 + 40/7 = 0. What is i?
-5, -4, -1/4
Let 20*f**5 + 945*f**4 - 3785*f**3 + 2055*f**2 + 765*f = 0. Calculate f.
-51, -1/4, 0, 1, 3
Suppose u**2/4 - 1046*u + 1094116 = 0. What is u?
2092
Factor 2*q**2/17 + 82*q/17.
2*q*(q + 41)/17
Suppose -x**5 + 4*x**4 + 7*x**3 - 34*x**2 + 24*x = 0. What is x?
-3, 0, 1, 2, 4
Factor 3*l**3 + 6*l**2 - 21*l + 12.
3*(l - 1)**2*(l + 4)
Solve -2*q**5/13 - 158*q**4/13 - 450*q**3/13 + 478*q**2/13 + 1684*q/13 + 912/13 = 0.
-76, -3, -1, 2
Let -w**5/4 + 7*w**4/4 - 7*w**3/4 - 19*w**2/4 + 4*w + 5 = 0. Calculate w.
-1, 2, 5
Factor -4*l**2 + 88*l.
-4*l*(l - 22)
Solve -5*g**5/3 - 420*g**4 - 26875*g**3 - 156250*g**2/3 = 0.
-125, -2, 0
Solve 2*y**3/9 + 566*y**2/3 = 0 for y.
-849, 0
Determine q, given that -q**4 + 9*q**3 - 15*q**2 - 25*q = 0.
-1, 0, 5
Factor a**3/4 + 37*a**2/4 - a/4 - 37/4.
(a - 1)*(a + 1)*(a + 37)/4
Factor -5*w**3 + 8055*w**2 - 4325535*w + 774270765.
-5*(w - 537)**3
Factor 5*p**4/2 + 20*p**3 + 25*p**2/2 - 125*p.
5*p*(p - 2)*(p + 5)**2/2
Factor i**3/5 - i**2 - i/5 + 1.
(i - 5)*(i - 1)*(i + 1)/5
Find s such that 685*s**2 - 695*s + 10 = 0.
2/137, 1
Find v, given that -15*v**4/8 - 123*v**3/8 - 3*v**2 = 0.
-8, -1/5, 0
Factor 5*t**5 - 50*t**4 + 180*t**3 - 270*t**2 + 135*t.
5*t*(t - 3)**3*(t - 1)
Factor 2*f**2/19 + 508*f/19 + 32258/19.
2*(f + 127)**2/19
Suppose -2*f**3/23 + 214*f**2/23 + 888*f/23 = 0. What is f?
-4, 0, 111
Find k such that 6*k**2/11 - 82*k/11 - 8 = 0.
-1, 44/3
Factor -5*u**2 - 55*u - 120.
-5*(u + 3)*(u + 8)
Factor 2*g**2 + 572*g + 40898.
2*(g + 143)**2
Determine k so that 3*k**2 - 162*k + 2139 = 0.
23, 31
Factor -3*a**3 + 30*a**2 + 33*a.
-3*a*(a - 11)*(a + 1)
Solve -2*j**2/9 - 26908*j/9 - 90505058/9 = 0.
-6727
Factor 2*l**3/5 + 98*l**2.
2*l**2*(l + 245)/5
Factor v**3 + 24*v**2 + 45*v + 22.
(v + 1)**2*(v + 22)
Determine b so that 6*b**5/7 + 64*b**4/7 + 142*b**3/7 - 100*b**2/7 - 16*b = 0.
-7, -4, -2/3, 0, 1
What is g in -2*g**5/7 + 170*g**4/7 - 3350*g**3/7 - 11090*g**2/7 - 11440*g/7 - 3872/7 = 0?
-1, 44
Let 4*k**4 - 108*k**3 + 840*k**2 - 400*k - 12000 = 0. Calculate k.
-3, 10
Factor -m**4 - 5*m**3 - 8*m**2 - 4*m.
-m*(m + 1)*(m + 2)**2
Factor o**2 + 119*o + 1980.
(o + 20)*(o + 99)
Find z, given that 2*z**3 + 246*z**2 + 486*z + 242 = 0.
-121, -1
Find p such that p**4/3 + p**3 - 23*p**2/3 + 11*p - 14/3 = 0.
-7, 1, 2
What is q in q**2/2 + q - 3/2 = 0?
-3, 1
Suppose 4*a**5 - 20*a**4 + 4*a**3 + 52*a**2 - 8*a - 32 = 0. What is a?
-1, 1, 2, 4
Find c, given that c**3/2 + 7*c**2/2 - c/2 - 7/2 = 0.
-7, -1, 1
Factor a**3 + 9*a**2/4 - 47*a/2 - 6.
(a - 4)*(a + 6)*(4*a + 1)/4
Factor -g**2 - 7*g + 18.
-(g - 2)*(g + 9)
Solve c**2/2 - 23*c/2 + 11 = 0.
1, 22
Factor -p**3/2 + 7*p/2 + 3.
-(p - 3)*(p + 1)*(p + 2)/2
Factor -g**3/4 - 53*g**2/4 - 51*g/2.
-g*(g + 2)*(g + 51)/4
Suppose -q**4 + 2027*q**3/5 + 1062*q**2 - 2448*q/5 = 0. Calculate q.
-3, 0, 2/5, 408
Factor -h**2/6 - 10*h/3 - 50/3.
-(h + 10)**2/6
Let -7*b**2/3 + 8*b/3 - 1/3 = 0. Calculate b.
1/7, 1
Factor u**2/2 + 452*u - 905/2.
(u - 1)*(u + 905)/2
Factor 21*v**3/2 - v**2/4 - 25*v/2 - 7/4.
(v + 1)*(6*v - 7)*(7*v + 1)/4
Factor 2*a**2 - 4532*a.
2*a*(a - 2266)
Let 12*m**5 - 20*m**4 - 100*m**3 + 180*m**2 - 72*m = 0. What is m?
-3, 0, 2/3, 1, 3
Factor 2*k**5/7 - 4*k**4/7.
2*k**4*(k - 2)/7
Factor -z**5/2 - z**4/2 + 21*z**3/2 + 45*z**2/2.
-z**2*(z - 5)*(z + 3)**2/2
Factor 18*z**3 + z**2 - 72*z - 4.
(z - 2)*(z + 2)*(18*z + 1)
Suppose 75*y**4 + 3135*y**3 - 678*y**2 - 2028*y - 504 = 0. What is y?
-42, -2/5, 1
Factor -5*t**2 + 10*t.
-5*t*(t - 2)
Suppose 4*k**3/3 + 56*k**2/3 - 128*k - 1920 = 0. What is k?
-12, 10
Determine c, given that 2*c**5/9 + 20*c**4/9 + 64*c**3/9 + 64*c**2/9 = 0.
-4, -2, 0
Factor 2*w**2/5 - 12*w/5 - 14/5.
2*(w - 7)*(w + 1)/5
Suppose 2*k**3 + 20*k**2 + 62*k + 60 = 0. Calculate k.
-5, -3, -2
Let 23*i**4 - 298*i**3 + 792*i**2 + 1162*i + 49 = 0. Calculate i.
-1, -1/23, 7
Determine q, given that 2*q**3 - 2454*q**2 + 1003686*q - 136835858 = 0.
409
Find u such that -4*u**2 - 1668*u - 1664 = 0.
-416, -1
Suppose -4*k**4 - 6232*k**3 - 2421124*k**2 + 4860960*k - 2433600 = 0. What is k?
-780, 1
Factor 2*a**4/5 - 24*a**2/5 + 32*a/5.
2*a*(a - 2)**2*(a + 4)/5
What is q in -6*q**5/5 - 18*q**4/5 - 12*q**3/5 + 12*q**2/5 + 18*q/5 + 6/5 = 0?
-1, 1
Determine s, given that 4*s**2/3 + 152*s/9 - 352/9 = 0.
-44/3, 2
Factor -w**2/3 + 919*w/3.
-w*(w - 919)/3
Solve 2*y**3/11 + 32*y**2/11 + 58*y/11 + 28/11 = 0.
-14, -1
Determine c, given that 4*c**4/7 + 10*c**3/7 + 8*c**2/7 + 2*c/7 = 0.
-1, -1/2, 0
Factor n**4/3 - 208*n**3 + 48672*n**2 - 5061888*n + 197413632.
(n - 156)**4/3
Factor -i**2 - 378*i.
-i*(i + 378)
Factor -27*w**3/2 + 213*w**2/2 - 165*w/2 - 21/2.
-3*(w - 7)*(w - 1)*(9*w + 1)/2
Suppose -2*v**5/5 - 122*v**4/5 - 1186*v**3/5 - 4438*v**2/5 - 6972*v/5 - 720 = 0. Calculate v.
-50, -4, -3, -1
Suppose 6*b**3/7 + 30*b**2/7 - 48*b/7 - 72/7 = 0. What is b?
-6, -1, 2
Suppose 2*i**3/11 - 354*i**2/11 - 356*i/11 = 0. Calculate i.
-1, 0, 178
Factor -2*k**5/3 - 8*k**4/3 - 10*k**3/3 - 4*k**2/3.
-2*k**2*(k + 1)**2*(k + 2)/3
Factor -5*b**5 - 25*b**4 - 35*b**3 - 15*b**2.
-5*b**2*(b + 1)**2*(b + 3)
Suppose v**3/2 - 774*v**2 + 399384*v - 68694048 = 0. Calculate v.
516
Factor -v**4/6 + 13*v**3/6 - 23*v**2/6 + 11*v/6.
-v*(v - 11)*(v - 1)**2/6
Factor -3*k**3 - 4233*k**2 - 1491072*k + 1495308.
-3*(k - 1)*(k + 706)**2
Factor -4*p**5 - 1176*p**4 - 115248*p**3 - 3764768*p**2.
-4*p**2*(p + 98)**3
Factor 5*o**3 - 130*o**2 - 1325*o - 1190.
5*(o - 34)*(o + 1)*(o + 7)
Find p such that 27*p**4/4 - 921*p**3/4 + 75*p**2/4 + 921*p/4 - 51/2 = 0.
-1, 1/9, 1, 34
Suppose l**4/3 - 16*l**3/3 + 88*l**2/3 - 64*l + 48 = 0. What is l?
2, 6
Factor q**4/10 - 11*q**3/10 - q**2/10 + 11*q/10.
q*(q - 11)*(q - 1)*(q + 1)/10
Factor 2*n**3/3 + 10*n**2 + 32*n - 128/3.
2*(n - 1)*(n + 8)**2/3
Factor 2*o**3 + 990*o**2/7 + 696*o/7 - 40.
2*(o + 1)*(o + 70)*(7*o - 2)/7
Find t such that 2*t**2 - 140*t - 142 = 0.
-1, 71
Solve z**2 - 6626*z + 10975969 = 0.
3313
Determine d so that -10*d**3/11 + 14*d**2/11 - 4*d/11 = 0.
0, 2/5, 1
Factor -l**5 - 8*l**4 - 4*l**3 + 80*l**2 + 64*l - 256.
-(l - 2)**2*(l + 4)**3
Find t such that -20*t**3/3 + 905*t**2/3 - 1105*t/3 + 220/3 = 0.
1/4, 1, 44
Factor 3*n**3 + 28*n**2 + 28*n - 32.
(n + 2)*(n + 8)*(3*n - 2)
What is f in f**2/5 + 16*f/5 - 17/5 = 0?
-17, 1
Factor -2*r**2/7 - 296*r/7 - 10952/7.
-2*(r + 74)**2/7
Find t such that 66*t**4/5 - 177*t**3/5 - 69*t**2/5 + 18*t/5 = 0.
-1/2, 0, 2/11, 3
Suppose -4*g**4 - 252*g**3 - 472*g**2 + 1008*g + 1952 = 0. What is g?
-61, -2, 2
What is f in f**5/4 + 35*f**4/4 + 319*f**3/4 + 649*f**2/4 - 448*f - 539 = 0?
-22, -7, -1, 2
Factor
|
{
"pile_set_name": "DM Mathematics"
}
|
g order.
b, 0.1, -0.4, -4/7
Let l = 63 + -68. Put -6, 5, l in ascending order.
-6, l, 5
Let j be (-2 - (-2 - 0))/2. Suppose 0 = -4*q + 5*u + 5, -u - 5 = -0*u. Let z = -1 - q. Put 5, j, z in descending order.
5, z, j
Let o(k) = 6*k - 23. Let c be o(4). Put c, 0, -1 in ascending order.
-1, 0, c
Suppose -z = -h - h + 16, h = 5*z - 1. Put 5, h, -3 in ascending order.
-3, 5, h
Suppose -5*x - 26 = -1. Let n = 85 - 88. Let d = 0 - -4. Sort n, x, d in ascending order.
x, n, d
Let x = -15 - -20. Put x, -12, -4 in increasing order.
-12, -4, x
Let b be (-4)/18 - (-48)/(-27). Let s = -13 + 16. Suppose z + s*z = 0. Put 2, b, z in ascending order.
b, z, 2
Let b = -96.8 + 88. Let x = b - -9. Let z be (-2)/(-1*2*-5). Sort -0.3, z, x in ascending order.
-0.3, z, x
Let g = -2.1 - -1.4. Let z = g + 0.6. Sort z, 5, -3 in descending order.
5, z, -3
Let z be (45/(-55) - 2/11)*-13. Put z, -5, -3 in ascending order.
-5, -3, z
Let u = -2 + 1.6. Let z(d) = -35*d**2 + 2*d + 1. Let w be z(-1). Let o be 0 + 2 + w/20. Put o, -3, u in increasing order.
-3, u, o
Suppose 0 = -5*g + 10, 5*g = -2*p + 9 + 1. Put p, -1, -5 in decreasing order.
p, -1, -5
Let j be (-36)/6*2/3. Put j, -1, 0 in ascending order.
j, -1, 0
Let a = 28/5 + -6. Sort a, 0.1, -3 in increasing order.
-3, a, 0.1
Let u(l) = -l**2 + 14*l + 2. Let k be u(14). Sort k, -5, 10 in descending order.
10, k, -5
Let s = -12.5 - -12. Sort s, -3/2, -1 in descending order.
s, -1, -3/2
Let c be 2/(-3) - 55/(-15). Put c, 2, 4, 0 in decreasing order.
4, c, 2, 0
Let n = -0.4 + 0.1. Let l = 0.03 + -0.23. Sort 4, n, l in ascending order.
n, l, 4
Let q be -2 + 2*6/9. Let i = 0.73 - 0.7. Sort 0.1, i, q.
q, i, 0.1
Let j be (-9*(-1)/3)/(-1). Sort 1, 4, j in descending order.
4, 1, j
Suppose l - 6*l = 5*s - 25, 3*s = 0. Suppose 0*r + r - l = 0. Let y = 4 - 6. Sort y, r, 0 in ascending order.
y, 0, r
Let z(c) = -c**3 + 8*c**2 + 10*c - 5. Let v be 105/14*12/10. Let x be z(v). Sort 5, 7, x.
x, 5, 7
Suppose 9 = 5*u - 8*u. Put -4, u, -10 in ascending order.
-10, -4, u
Suppose 2*o - o = 2*l, -4*l + 16 = 2*o. Suppose z - 7 = r, -4 - 8 = -z + l*r. Suppose -5*w = -5, z = -s + 4*w + 3. Put -5, -3, s in ascending order.
-5, -3, s
Let s = 0.9 + 3.1. Sort 3/8, 2, s in increasing order.
3/8, 2, s
Let j = 1.8 - 6.8. Put j, -0.3, -0.5 in descending order.
-0.3, -0.5, j
Suppose l = -4*l, l + 16 = 4*c. Suppose -3*p = p + c. Put 4, -2, p in increasing order.
-2, p, 4
Let u(q) = -q - 1. Let f be u(-3). Let c = 0 + f. Let a(y) = -y**3 - 6*y**2 - 5*y + 5. Let i be a(-5). Put -2, c, i in ascending order.
-2, c, i
Let r = 95 + -90. Put -0.3, -2/7, 0.1, r in descending order.
r, 0.1, -2/7, -0.3
Let j be (2 - 1)/(3/12). Let t be (2/j)/(7/(-2)). Let l be 17/33 + 2/(-6). Sort -1, t, l in increasing order.
-1, t, l
Let k = 17 - 23. Put 4, -3, k in descending order.
4, -3, k
Suppose 3 = -3*t + x, 5*t = 5*x - 4*x - 3. Let y(i) be the first derivative of i**4/4 + 2*i**3 - i**2 - 8*i - 3. Let j be y(-6). Put j, 2, t in ascending order.
t, 2, j
Let o be -1*(-2 - -1)*2. Suppose 0 = -4*s - 3*x + 34, s - o*s + 16 = -3*x. Suppose -4*k - 2 = s. Sort -2, -1, k.
k, -2, -1
Let o = -187 - -326. Let c = o + -698/5. Sort 2/11, 2/17, c in descending order.
2/11, 2/17, c
Let r = -0.2 + 1. Let l = r + -0.3. Let n = -4 - 0. Sort n, l, 0.1 in descending order.
l, 0.1, n
Let k = -6 - -8. Suppose 2*m + k*i - 24 + 6 = 0, -3*i = -12. Sort 2, m, -4 in descending order.
m, 2, -4
Let h be 0 + (-4)/(-2) - 2. Suppose -3*j - 3 = 5*v, -2*v - j + 6*j + 5 = 0. Let w = 1 + v. Put 3, w, h in increasing order.
h, w, 3
Let p = 2.04 + -0.04. Suppose f + 0 = 5. Sort p, -0.1, f in increasing order.
-0.1, p, f
Let y(m) = m**3 - 7*m**2 + 3. Let n be y(7). Suppose -n*k - 1 = -25. Suppose 4*c = -2*d + 4*d, -4*c - k = 2*d. Put 4, d, 0 in descending order.
4, 0, d
Let v = 3 + 0. Suppose 5*c + 3*w + 3 = v*c, 2*w = -c - 3. Let r = 15 - 15. Sort c, r, -3/5.
-3/5, r, c
Let j = 14 - 9. Let h = 205 - 204. Put j, h, -3 in descending order.
j, h, -3
Let m = -0.03 - 2.97. Sort -2/9, 0.1, m in increasing order.
m, -2/9, 0.1
Suppose -3 = 3*a - 0. Let j = a - -1. Let n be 18/(-21)*(-14)/4. Sort 2, n, j in decreasing order.
n, 2, j
Let w be (-48)/(-20) - (-3)/5. Suppose 0 = -4*j + 3*j - 5*i + 26, -w = 2*j - i. Put j, -3, 0 in decreasing order.
j, 0, -3
Let w be (-111)/21 + 4/14. Let l be 5/(-30)*-6 - (-2 - 0). Let b(z) = z - 4. Let t be b(4). Sort t, w, l in increasing order.
w, t, l
Suppose -45 = -49*w + 44*w. Put 3/7, -4, 0.2, w in increasing order.
-4, 0.2, 3/7, w
Suppose -3*n = -2*n + 4. Sort 19, n, 1, 4.
n, 1, 4, 19
Let f = 5 + -6. Sort 3, 4, f in decreasing order.
4, 3, f
Let o = -9.2 - -9. Put o, 6/7, -0.4 in ascending order.
-0.4, o, 6/7
Suppose 9*p = -2*p + 55. Put -49, p, 0 in descending order.
p, 0, -49
Suppose 2*o - o + 9 = j, 4*o - 5*j = -41. Put -14, o, 1, 0.3 in increasing order.
-14, o, 0.3, 1
Suppose 0 = 5*h + 11 + 9. Let b = h + 9. Suppose 0 = 4*i - 3*i - 4*j - 12, -2 = -2*i - 3*j. Put i, b, -3 in descending order.
b, i, -3
Let r = 40 + -37. Let i = -6 + 2. Put i, 5, r in increasing order.
i, r, 5
Let r = -61 - -77. Put r, 2/3, -0.4 in ascending order.
-0.4, 2/3, r
Let d = -33 - -33.5. Suppose 0*r - v = 5*r + 5, -4*r - 5*v + 17 = 0. Let f be r + (-1)/5 + 2. Put d, -3, f in descending order.
d, f, -3
Let o(r) = r**2 - 5*r + 1. Let k be o(4). Let c = -33 - -23. Let d = c + 9. Sort k, -5, d.
-5, k, d
Let u = 4 - 2. Suppose 0 = -v - v - u. Put 4, v, 1 in increasing order.
v, 1, 4
Let u be (-167)/18 + (-6)/27. Let w = 10 + u. Sort w, 5, 1/4.
1/4, w, 5
Let x = 3 + 2. Suppose 15 = x*a - 10. Let p be (-14)/10 + (6 - a). Put p, 0, -2 in increasing order.
-2, p, 0
Let k(b) = -b**2 + 7*b - 2. Let i be k(6). Let s be 23/(-6) - i/24. Sort s, -1, 1.
s, -1, 1
Let q = -1.9 - -2. Let z be (-9*5/(-570))/((-3)/4). Sort 1/8, z, q in increasing order.
z, q, 1/8
Suppose -3 = -2*f + 15. Put 1, -5, f in increasing order.
-5, 1, f
Let k be 2/(-9) + (1 - 1). Let h = -12 - -8. Sort 3, k, h in decreasing order.
3, k, h
Let a = 3 - 3.2. Let m = 0.51 + -0.11. Sort m, -1/4, a in decreasing order.
m, a, -1/4
Suppose -4 = -2*s - 2*p - 3*p, 4*s + 20 = 4*p. Let b = 9 - 9. Let k = -4.08 + 0.08. Sort b, k, s in decreasing order.
b, s, k
Let h be (-1 + -5)*1/(-2). Suppose s - 4*f - 9 = 0, -h*s - 5*f - 6 = s. Let p be ((-1)/(-2))/(2/(-20)). Put -1, p, s in decreasing order.
s, -1, p
Let d be ((-4)/(-6))/(1/(-6)). Let m = -54 - -54.21. Let o = m - 0.31. Put o, 0.3, d in descending order.
0.3, o, d
Let k = 6.28 - 6. Let q = 0.08 - k. Sort -5, q, 2/3 in descending order.
2/3, q, -5
Let y = 2 + -5. Let o = 5.2 - 1.2. Put o, y, -1 in ascending order.
y, -1, o
Suppose 2*n = n, -4*z + 16 = 2*n. Let i = -5 - -8. Sort z, -0.4, i in decreasing order.
z, i, -0.4
Suppose -3*j + 4*j + 1 = 0. Let b = 7 + j. Put -4, 4, b in increasing order.
-4, 4, b
Suppose 0 = 3*y, 3*r - 3*y - 13 = 26. Let n be r/(-3) - (-4)/(-6). Suppose q + 1 = -0*q. Sort q, -2, n.
n, -2, q
Let k(b) = -b**2 + 4*b + 1. Let f be k(4). Suppose 3*j - 2*j = 0. Sort -2, j, f in increasing order.
-2, j, f
Suppose 4 + 5 = 3*b. Suppose 10 = -0*m - b*m - 2*x, -5*m + 20 = -4*x. Sort -5, m, 1 in descending order.
1, m, -5
Let g be ((-3)/(-78))/((-1)/(-4)). Sort -1/5, g, 1 in descending order.
1, g, -1/5
Let y be (-14)/(-3) + 8/24. Suppose 0 = -4*l - 0*l - 4, 3 = -2*p - y*l. Sort p, -4, -5 in increasing order.
-5, -4, p
Let l be (-1 - -1)/(-1 + -1). Let i be -1 - l - (-12)/9. Sort 0, i, 4/5 in ascending order.
0, i, 4/5
Let n = 5 - 7. Suppose 5*p + 3*w = 2*p + 6, 5*w = p + 28. Sort n, p, 5.
p, n, 5
Let p be (96/(-60))/(4/(-10)). Sort p, -3, 1.
-3, 1, p
Suppose 10 = -0*m + 2*m. Suppose -q - 19 = 4*b - 6, -5 = -3*q - b. Suppose -3*g + 9 = q*p, 2*g - 3*p + 18 = p. Sort -3, m, g.
-3, g, m
Suppose 0 = -12*z + 16*z - 12. Sort z, -0.1, 10, 5 in descending order.
10, 5, z, -0.1
Let c(j) = 2*j - 12. Let u be 1/5 + (-145)/(-25). Let o be c(u). Sort 1, o, 5.
o, 1, 5
Let c = -9.5 + 14.4. Sort c, -2, 1/2 in decreasing order.
c, 1/2, -2
Let x = -0.32 + 4.32. Let v = -0.2 + 0.3. Sort v, x, -5.
-5, v, x
Let b(f) = -f - 16. Let y be b(-13). Suppose 3*t = t - 18. Let a be -3*(t/y - 4). Sort a, -4, -1.
-4, -1, a
Let f = 1.97 + -2. Let p = 2.03 + f. Let l = 9 + -8.9. Sort p, l, 3 in descending order.
3, p, l
Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
ominator of 19/9 and -9/392?
3528
Calculate the common denominator of -55/14 and -76/1575.
3150
Find the common denominator of -5/1936 and -103/2662.
21296
Find the common denominator of -137/1992 and -67/4.
1992
What is the smallest common multiple of 658 and 98?
4606
Calculate the common denominator of 20/21 and 79/2346.
16422
Calculate the least common multiple of 24 and 248.
744
What is the smallest common multiple of 504 and 396?
5544
Calculate the common denominator of 5/24 and 103/42.
168
Calculate the common denominator of -29/153 and 50/21.
1071
Calculate the lowest common multiple of 9 and 832.
7488
Calculate the smallest common multiple of 2898 and 6.
2898
Calculate the least common multiple of 425 and 25.
425
Calculate the smallest common multiple of 9 and 144.
144
Find the common denominator of -27/80 and 99/4.
80
Calculate the smallest common multiple of 224 and 40.
1120
Calculate the common denominator of -23/6 and -107/12.
12
Calculate the least common multiple of 32 and 18.
288
Calculate the lowest common multiple of 3 and 12.
12
Calculate the common denominator of 47/6 and 7/1202.
3606
Calculate the lowest common multiple of 438 and 117.
17082
Find the common denominator of 15/32 and 9/124.
992
Find the common denominator of 97/10 and -19/16.
80
What is the common denominator of 9/65 and -27/559?
2795
Calculate the common denominator of 5/146 and -43/16.
1168
What is the smallest common multiple of 21 and 225?
1575
What is the common denominator of 53/20 and -61/1164?
5820
What is the smallest common multiple of 203 and 29?
203
Calculate the common denominator of 101/160 and 57/1168.
11680
Calculate the smallest common multiple of 200 and 450.
1800
Calculate the common denominator of -15/2 and -143/1590.
1590
Find the common denominator of -79/136 and 103/26.
1768
What is the lowest common multiple of 920 and 575?
4600
Calculate the smallest common multiple of 12828 and 9.
38484
What is the lowest common multiple of 1000 and 3100?
31000
What is the smallest common multiple of 21 and 208?
4368
What is the smallest common multiple of 294 and 24?
1176
What is the least common multiple of 252 and 462?
2772
Find the common denominator of 87/1750 and 51/250.
1750
Calculate the common denominator of 169/450 and 17/42.
3150
Calculate the common denominator of 4/175 and 16/35.
175
Calculate the common denominator of 51/3575 and -37/330.
21450
Calculate the common denominator of 21/338 and -69/26.
338
Calculate the common denominator of 16/9 and 17.
9
Calculate the least common multiple of 1005 and 30.
2010
Find the common denominator of -119/54168 and -59/18.
162504
What is the lowest common multiple of 525 and 25?
525
What is the lowest common multiple of 775 and 372?
9300
What is the common denominator of 35/852 and -50/309?
87756
Find the common denominator of 68/21 and 95/2364.
16548
Calculate the lowest common multiple of 1272 and 56.
8904
Find the common denominator of -37/2668 and -31/696.
16008
Calculate the common denominator of 13/46 and 73/104.
2392
Calculate the lowest common multiple of 826 and 944.
6608
What is the least common multiple of 110 and 14?
770
Calculate the least common multiple of 805 and 9.
7245
Find the common denominator of -173/240 and 73/32.
480
What is the lowest common multiple of 14 and 50?
350
What is the common denominator of -31/442 and -19/2006?
26078
What is the lowest common multiple of 289 and 136?
2312
Calculate the common denominator of 97/164 and 113/12.
492
Calculate the least common multiple of 41 and 7.
287
What is the smallest common multiple of 4104 and 12?
4104
Calculate the common denominator of 76/39 and 64/27.
351
Calculate the lowest common multiple of 3 and 156.
156
What is the least common multiple of 648 and 891?
7128
What is the smallest common multiple of 6618 and 16?
52944
What is the common denominator of 53/2739 and 53/12?
10956
Find the common denominator of 10/51 and 71/183.
3111
Calculate the least common multiple of 865 and 519.
2595
What is the common denominator of -82/21 and -1/231?
231
Calculate the least common multiple of 4 and 256.
256
What is the lowest common multiple of 6 and 1119?
2238
Find the common denominator of 49/48 and 95/2886.
23088
Calculate the common denominator of -57/20 and 87/182.
1820
What is the least common multiple of 4501 and 3?
13503
What is the least common multiple of 22 and 11?
22
Calculate the common denominator of 97/2070 and -137/378.
43470
What is the common denominator of 11/16 and 1/4588?
18352
Calculate the lowest common multiple of 286 and 12.
1716
Calculate the least common multiple of 66 and 6.
66
What is the least common multiple of 204 and 34?
204
What is the least common multiple of 32 and 64?
64
Find the common denominator of -43/54 and 38/27.
54
What is the smallest common multiple of 2 and 5?
10
What is the smallest common multiple of 2 and 58?
58
Find the common denominator of -5/12 and -59/14.
84
Find the common denominator of -75/8 and 3/34.
136
Calculate the smallest common multiple of 36 and 80.
720
Find the common denominator of 23/186 and 47/1581.
3162
What is the lowest common multiple of 24 and 48?
48
What is the smallest common multiple of 276 and 207?
828
Calculate the least common multiple of 372 and 56.
5208
Calculate the common denominator of 46/45 and -77/102.
1530
What is the common denominator of 17/48 and -83/306?
2448
Find the common denominator of 83/18 and -79/468.
468
Find the common denominator of -77/276 and 77/1196.
3588
What is the common denominator of 3/14 and -13/3?
42
What is the smallest common multiple of 8 and 8?
8
Calculate the common denominator of -137/280 and 41/10.
280
Find the common denominator of -53/21 and -137/648.
4536
What is the smallest common multiple of 10 and 232?
1160
What is the least common multiple of 406 and 522?
3654
What is the common denominator of -68/55 and -89/45?
495
What is the least common multiple of 1 and 3775?
3775
Calculate the lowest common multiple of 36 and 10.
180
Calculate the least common multiple of 1047 and 7.
7329
Calculate the common denominator of -76/9 and -19/4.
36
Calculate the smallest common multiple of 2891 and 196.
11564
Calculate the common denominator of -41/63 and -83/42.
126
Find the common denominator of 49/13 and 73/20.
260
What is the common denominator of -67/9 and 19/21?
63
What is the common denominator of 17/20 and -119/600?
600
Calculate the common denominator of 157/42 and -23/300.
2100
Calculate the smallest common multiple of 60 and 110.
660
Calculate the lowest common multiple of 1477 and 6.
8862
What is the smallest common multiple of 2730 and 1170?
8190
What is the common denominator of 79/40 and -91/20?
40
Find the common denominator of 55/6 and -34/259.
1554
Calculate the least common multiple of 134 and 64.
4288
Find the common denominator of -87/8 and -83/116.
232
Calculate the common denominator of 56/675 and -91/825.
7425
Calculate the lowest common multiple of 580 and 812.
4060
What is the least common multiple of 2288 and 132?
6864
Calculate the common denominator of -111/56 and 51/7.
56
Calculate the common denominator of 35/12 and -53/474.
948
Calculate the common denominator of -37/56 and 101/28.
56
Find the common denominator of 137/24 and -49/340.
2040
What is the smallest common multiple of 208 and 560?
7280
Find the common denominator of -26/235 and 37/105.
4935
Calculate the common denominator of 65/1458 and -101/30.
7290
Calculate the smallest common multiple of 10 and 12.
60
Calculate the least common multiple of 4 and 44.
44
Calculate the least common multiple of 1569 and 2.
3138
Calculate the common denominator of 26/145 and -35/4.
580
What is the smallest common multiple of 296 and 10?
1480
What is the least common multiple of 54 and 120?
1080
Find the common denominator of -121/24 and 49/6.
24
What is the least common multiple of 143 and 130?
1430
Calculate the common denominator of 83/500 and 111/800.
4000
What is the least common multiple of 42 and 8?
168
Calculate the smallest common multiple of 12 and 105.
420
Calculate the common denominator of 58/3385 and -38/35.
23695
Calculate the common denominator of 83/18 and -139/24.
72
Calculate the lowest common multiple of 568 and 781.
6248
Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
enominator of 61/301 and 54/97223.
97223
Find the common denominator of -173/210 and 145/6636.
33180
What is the common denominator of -10/6213 and 125/66?
136686
Calculate the least common multiple of 6948 and 44.
76428
What is the common denominator of 41/30 and -169/1125000?
1125000
Find the common denominator of -11/76140 and -29/8460.
76140
Calculate the common denominator of -83/28198 and 93/184.
112792
Find the common denominator of 16/553 and -20/7189.
7189
What is the smallest common multiple of 3249 and 306?
110466
Calculate the common denominator of 167/12408 and 49/20680.
62040
Find the common denominator of 79/67002 and 80/273.
469014
What is the lowest common multiple of 14152 and 2?
14152
What is the common denominator of -123/7280 and -1/2860?
80080
What is the smallest common multiple of 263458 and 182?
1844206
What is the lowest common multiple of 540 and 8880?
79920
What is the common denominator of -39/203 and 4/539?
15631
Calculate the common denominator of 55/4042264 and -23/22.
44464904
What is the common denominator of -93/1174108 and -47/52?
1174108
Calculate the smallest common multiple of 39987 and 62202.
559818
What is the common denominator of -19/5040 and -71/1512?
15120
Calculate the common denominator of -101/24 and 29/20076.
40152
What is the common denominator of -9/55888 and -13/24?
167664
Calculate the common denominator of 37/126 and -25/28882.
259938
Calculate the least common multiple of 6765 and 528.
108240
What is the common denominator of -76/1313829 and 83/57123?
1313829
Calculate the lowest common multiple of 4274 and 1777984.
1777984
Find the common denominator of -107/47376 and 1/84.
47376
Calculate the least common multiple of 50 and 3625.
7250
What is the least common multiple of 101818 and 8?
407272
What is the common denominator of 29/76890 and 107/51260?
153780
Find the common denominator of 77/17130 and -83/222.
633810
Find the common denominator of 5/14784 and -173/14784.
14784
What is the common denominator of 73/17928 and -35/632?
1416312
What is the least common multiple of 31380 and 900?
470700
What is the smallest common multiple of 1521 and 845?
7605
What is the lowest common multiple of 26096 and 328?
1069936
What is the least common multiple of 402 and 1216?
244416
Find the common denominator of -1/14676 and 26/25683.
102732
Calculate the common denominator of -3/2947 and -14/81.
238707
What is the lowest common multiple of 1530 and 1105?
19890
Calculate the smallest common multiple of 1317339 and 5944.
10538712
Calculate the smallest common multiple of 3267 and 7128.
78408
What is the common denominator of -83/3438 and 38/12033?
24066
What is the common denominator of 46/4167 and 133/78?
108342
Calculate the smallest common multiple of 4980 and 1308.
542820
Find the common denominator of 24/190705 and -93/7096.
1525640
What is the smallest common multiple of 12 and 17914?
107484
Calculate the common denominator of 31/214098 and 125/612.
1284588
What is the common denominator of 103/3978 and 191/670956?
2012868
Calculate the common denominator of -155/8736 and 49/6.
8736
Calculate the lowest common multiple of 13741 and 13741.
13741
Find the common denominator of 41/6 and 64/367275.
734550
Calculate the lowest common multiple of 734832 and 160.
7348320
What is the common denominator of -17/14 and 67/340764?
2385348
What is the common denominator of -52/631647 and -91/6?
1263294
Find the common denominator of -61/3218 and -39/4.
6436
What is the common denominator of 4/217 and 27/3262?
101122
What is the least common multiple of 14664 and 140?
513240
What is the common denominator of 41/56 and -61/1009876?
2019752
What is the common denominator of 145/108 and -101/24216?
217944
What is the least common multiple of 175113 and 38914?
350226
What is the common denominator of -71/133468 and 37/1342?
1468148
Calculate the least common multiple of 186839 and 5140.
3736780
Calculate the lowest common multiple of 495 and 4320.
47520
Calculate the least common multiple of 200304 and 2568.
200304
What is the common denominator of 45/18964 and -23/22?
18964
What is the common denominator of -5/21 and 4/2529?
17703
What is the least common multiple of 17124 and 8?
34248
Calculate the lowest common multiple of 820413 and 820413.
820413
What is the common denominator of 77/1429108 and 91/46856?
2858216
What is the smallest common multiple of 14250 and 19950?
99750
Calculate the smallest common multiple of 4824 and 200.
120600
What is the common denominator of 5 and 16/761?
761
Calculate the common denominator of 107/315 and 71/1575.
1575
Calculate the common denominator of -10/8379 and 155/33222.
1893654
Calculate the smallest common multiple of 1652 and 5978.
705404
What is the lowest common multiple of 68816 and 21505?
344080
Calculate the common denominator of -89/1044 and -61/740.
193140
What is the smallest common multiple of 261 and 18630?
540270
Find the common denominator of 103/4680 and 191/24570.
98280
What is the smallest common multiple of 149242 and 22071?
3134082
What is the common denominator of -1/258 and -143/672?
28896
Calculate the least common multiple of 13960 and 8376.
41880
Calculate the lowest common multiple of 665160 and 3615.
665160
Calculate the lowest common multiple of 35706 and 2705.
178530
Calculate the common denominator of -33/334190 and 81/290600.
6683800
What is the common denominator of -17/247155 and -73/45?
741465
Find the common denominator of 23/417252 and 32/13189.
4589772
Calculate the common denominator of -139/75528 and 85/8.
75528
What is the smallest common multiple of 29568 and 81312?
325248
What is the lowest common multiple of 35211 and 44?
140844
Find the common denominator of -54/5 and 89/73098.
365490
What is the common denominator of -23/144 and -187/15030?
120240
Calculate the lowest common multiple of 108 and 16416.
16416
Find the common denominator of -7/24 and -19/2682.
10728
Calculate the lowest common multiple of 26 and 53768.
53768
Calculate the common denominator of 197/1260 and 49/1005.
84420
Calculate the smallest common multiple of 7777 and 1414.
15554
Calculate the lowest common multiple of 1806 and 7998.
55986
Calculate the lowest common multiple of 2268 and 45.
11340
Calculate the common denominator of -31/9882 and -91/18.
9882
Calculate the least common multiple of 45120 and 192.
45120
What is the least common multiple of 40710 and 17700?
407100
Find the common denominator of -13/504 and 3/69800.
4397400
What is the lowest common multiple of 1148 and 420?
17220
Calculate the least common multiple of 100212 and 84.
100212
Calculate the least common multiple of 260220 and 30.
260220
Find the common denominator of 7/17985 and 41/16830.
1834470
Calculate the smallest common multiple of 1371056 and 16.
1371056
Calculate the least common multiple of 12165 and 210.
170310
Find the common denominator of -151/6384 and -85/2436.
185136
Calculate the least common multiple of 110 and 14465.
28930
Calculate the least common multiple of 1080 and 20400.
183600
Calculate the common denominator of -123/1090 and 101/7412.
37060
What is the lowest common multiple of 28014 and 41412?
952476
What is the smallest common multiple of 131346 and 36?
262692
Calculate the common denominator of -71/23058 and 29/35.
115290
What is the smallest common multiple of 18484 and 39?
720876
What is the lowest common multiple of 198 and 622116?
622116
What is the least common multiple of 73100 and 15050?
511700
What is the least common multiple of 20 and 52780?
52780
What is the common denominator of 10/17 and -26/225?
3825
Find the common denominator of -3/736 and 121/169280.
169280
What is the common denominator of 37/23177 and 139/1470?
695310
What is the smallest common multiple of 21048 and 207?
1452312
Calculate the lowest common multiple of 11 and 63442.
697862
Calculate the smallest common multiple of 1360 and 23528.
235280
Calculate the lowest common multiple of 836 and 2541.
193116
What is the lowest common multiple of 24 and 2176?
6528
Calculate the lowest common multiple of 13851 and 39.
180063
What is the least common multiple of 8032 and 20080?
40160
Calculate the lowest common multiple of 171066 and 30.
855330
What is the smallest common multiple o
|
{
"pile_set_name": "DM Mathematics"
}
|
0.888759. Let g = 0.2 - 0.4. Which is the nearest to 2/5? (a) w (b) g (c) 4
b
Suppose -75*p = 29*p + 208. What is the nearest to -72 in -1, p, 0.2, 5?
p
Let u = 0.091 + 4.409. Let x = -4.8 + u. What is the nearest to -26 in 2/15, 1/2, x?
x
Let z be (-2)/(-15)*3/(-1). Let v = 1480/7 - 210. Let n = 3.0202 - 7.0202. What is the closest to 2/5 in z, v, n?
z
Let s = -201.08 - -33.08. Which is the nearest to s? (a) -4 (b) -2 (c) -1 (d) 2/13
a
Suppose -5*f + 2 = 3*g, g + 2*f - 6*f = -5. Which is the nearest to g? (a) -1.8 (b) -1/4 (c) -7
b
Let f = -26.6 + 11.6. Let v = 14.94 + 0.06. Let s = f + v. What is the nearest to 1 in 3, s, 4/7?
4/7
Let v = 25563 + -25567. Let q be (-2)/6 + 1/21. Which is the closest to 0.1? (a) q (b) v (c) -27 (d) -0.2
d
Let f = 106/3 - 433/12. Let u = 0.029 + -0.429. What is the nearest to u in f, -1/3, 3?
-1/3
Let i = 232 + -1161/5. Let n = 3.5 + -3.3. What is the closest to n in 3/4, -4, -25, i?
i
Let m = -0.5 - -3.5. Let i = 0.07 + -0.17. Let g = 9691 - 9694. Which is the nearest to i? (a) g (b) m (c) 0.3
c
Let w(p) = 155*p - 15500. Let l be w(100). Let n be (-16)/6*6/4. Let g = -1012/63 + 114/7. Which is the nearest to n? (a) g (b) l (c) -5
c
Let s = 1882/3 + -5654/9. Let k = 0.2 + 3.8. Which is the closest to -2? (a) k (b) s (c) 0
b
Let m = 2.321 - -2.679. Which is the nearest to 2/5? (a) -3 (b) m (c) -54
a
Suppose 5*n + 40 - 10 = -5*i, n - 6 = i. Let m be i*((-8)/(-6) + -1). Let h = 0 + 4. What is the nearest to m in 3, h, -0.3?
-0.3
Let b = 2129239/40 + -53238. Let a = 61/8 + b. Let v = 0.72 + -0.22. What is the nearest to 0.1 in a, v, -7?
v
Let w be 18/(-22) - (-2)/2. Let o(z) = -4*z + 125. Let t be o(10). Let k be 168/(-255) + 5/t. Which is the closest to 0.1? (a) w (b) -1/5 (c) k
a
Suppose 26248 = -421*s - 13747. What is the closest to 2/3 in s, 27, -2?
-2
Let p = -546.72 + 548.72. Let v = -451/45 - -49/5. What is the nearest to -1/2 in v, p, 8?
v
Let i(j) = 3*j**3 + j**2 - 2*j - 3. Let v be i(-1). Let y be v/(-5) - 44/165. Let m = -37 + 39. Which is the nearest to m? (a) y (b) 3/2 (c) 2/3
b
Let h = -8605 + 8604. Which is the closest to 1? (a) -1/5 (b) -4 (c) 0 (d) h
c
Let i be 1 + 8 + -791*24/168. Which is the closest to 2/7? (a) -1 (b) 3 (c) i
a
Suppose -23*y - 4*n = -28*y + 9, 0 = 2*y - 4*n + 18. Let u = -6.4 + 6. What is the closest to 0 in -0.03, y, u?
-0.03
Let g(b) = -b**3 - 5*b**2 - 8*b - 15. Let a be (35 + -31)*-1*1. Let q be g(a). What is the closest to q in 2, 0.4, 24?
0.4
Suppose 0 = -3*k + 2*k. Let q be (0 + 0)/(-23 + 25). Let y = 6 + -6.1. Which is the nearest to k? (a) y (b) 0.4 (c) q
c
Let g = 258.2 - 338. Let j = -76.8 - g. Let u = -0.3 - 0.7. Which is the closest to u? (a) j (b) -2/21 (c) 1
b
Let j = 5.63 + -4.23. What is the nearest to -0.1 in j, -2/13, -5, -1/2?
-2/13
Suppose -2133*a + 2132*a = -5*f - 23, 2*a = 2*f + 6. What is the nearest to -10.19 in 3/2, f, 5, 3?
f
Let c be (-17)/4 - (-7 + 3). Let h(d) = -d**3 + 5*d**2 + 5*d + 5. Let g be h(6). What is the nearest to g in 5, -5, c?
c
Let w = -531.78 - -2.78. Let o = w + 533. Which is the nearest to -2/29? (a) -1/5 (b) 1 (c) o (d) 3
a
Let s = 3854 + -3853.6. What is the closest to s in 0.5, -0.09, 2?
0.5
Let x = -20596 + 20596.032. What is the nearest to x in 2, -0.5, -1, -1.8?
-0.5
Let g = -3827 + 3824. Which is the closest to 585? (a) 1/4 (b) 0 (c) -2/3 (d) g
a
Let f = 15/376 - -617/3384. What is the nearest to -7 in 4, f, 3, 0.4?
f
Let u be 2/36*21*(-11)/33. What is the closest to 1/2 in 0.2, -5, u?
0.2
Let l = 374 - 157. Let j = l + -221. Which is the nearest to 1/4? (a) 0.7 (b) 0.1 (c) j
b
Suppose -5*r = -0*l + l - 59, -3*r = -3*l - 21. Suppose -13*m = -r*m + 298. Let x = 1041/7 + m. What is the nearest to -2 in x, -2, -5/6?
-2
Let a = 79409/4 - 19852. What is the nearest to a in 1/12, 4/3, -2/13, -2/7?
1/12
Let o = -0.1 + -0.1. Let m = -2151 - -34431/16. Let i = 167/144 - m. Which is the closest to i? (a) -1/3 (b) o (c) 5
b
Let f = 7 + -3. Let i = 34129/3 - 11377. What is the nearest to 1 in f, -5/4, i?
i
Let w = 5563 + -5562.9. Which is the nearest to w? (a) -2/3 (b) 1/3 (c) 177 (d) 3
b
Let w = 0.0204 - -4.9796. Let n be (0 - (-4 - 1)) + -1. Let l = -4.8 - 6.2. Which is the closest to l? (a) n (b) -4/7 (c) w
b
Let w = 4255 - 4245. Let o = -14 + 9. What is the closest to w in o, -3, -8?
-3
Let h = 109/4 + -27. Let l = -26 - -19. Let t be (-7 - -11) + l + 34/12. Which is the nearest to -2? (a) -1 (b) t (c) h
a
Let k = -620.1 + 620. Which is the closest to -1? (a) 1/11 (b) k (c) -8/7 (d) -3
c
Let m = 2.94 - -0.06. Let i be ((-4)/(-4))/((-21)/(-14)*6). Let n = 11 + -11.1. Which is the nearest to n? (a) -4 (b) i (c) m
b
Let c = -3.2 + 3. Suppose 5*d = -58*t + 62*t + 213, 0 = -4*d + 4*t + 168. Let v be (-18)/d - 12/(-30). What is the nearest to 1 in 1/3, c, v?
1/3
Suppose 28*p + 14*p - 78 = 3*p. What is the closest to 1/4 in p, -1/22, 0.2?
0.2
Let r be (350/60)/(-5)*(-4)/(-7). Which is the closest to r? (a) -0.1 (b) -3 (c) -2/9 (d) -4
c
Let s = 4.723 - -0.277. Which is the nearest to -83? (a) s (b) -2/7 (c) -5
c
Let j = -49/26 - -5/13. Let q = -5/13 - -22/91. What is the closest to 1 in q, 2, j?
2
Let k = 0.81 - -0.09. Let n = k + 0.1. Suppose 3*b + 0*t + 9 = 3*t, -3*b - 3*t - 15 = 0. What is the nearest to n in -3, 0.3, b?
0.3
Let m = 11.501 + -13.501. What is the nearest to -0.019 in -3/2, -1/8, m, -0.8?
-1/8
Let u = 2 - 3. Let g = -41291 + 41292. Which is the nearest to g? (a) -4 (b) u (c) -3 (d) 2
d
Let b = 825 - 3301/4. Suppose 0 = -5*q + 3*n + 33, 4*q - 2*n = -0*n + 26. Suppose 2 = 4*p - q. What is the closest to b in -2/9, -2/7, p?
-2/9
Let s = -0.45 - -392.45. Let i = s - 403. Which is the closest to -3? (a) -3 (b) i (c) -1
a
Let a = 7419 - 7420. Let g = -15 - -40. What is the closest to -1 in -4, a, g?
a
Let y = 12 - 26. Let q be (8/56)/((-4)/y). Which is the closest to q? (a) 5 (b) 1/6 (c) 7/2
b
Let n(j) = -j**3 - 21*j**2 + 240*j + 226. Let i be n(-29). What is the closest to -1 in i, 3, 0, 5.3?
0
Let d be 16/(-20)*(-20)/104. Let j be 110/(-22)*(210/(-25) - -8). What is the nearest to -1/8 in -0.2, d, 0.5, j?
-0.2
Let g = 8192/3 - 2731. What is the nearest to -24 in g, 3/2, -0.3, 4?
g
Let s be (-156)/(-26) - (108/21 + 0). Let w = -40 + 39.28. Let h = w - 0.28. What is the closest to h in -5, s, -3/7?
-3/7
Let z be (130/(-13) + 6)/10. Let d = -0.08 + -4.92. What is the closest to 0.3 in z, -1/8, d?
-1/8
Let y = -0.1 - -0.04. Let l = 116553/4 - 29329. Let n = 191 + l. Which is the nearest to y? (a) n (b) 4/3 (c) -0.5
a
Let y = 27 - 345/13. Let a = -831.8 - -832. What is the nearest to a in 3, 0.5, y?
y
Let p = -60.13 + -0.87. Let i = 55.024 + -0.024. Let w = i + p. What is the nearest to w in -2, 1/4, 0.2?
-2
Let m = 63 - 58. Suppose m = u - 5. Suppose 2 = 2*c + u. What is the nearest to 0.2 in 4, c, -0.2?
-0.2
Let x be (320/(-256))/((-10)/96). What is the closest to 1/4 in -0.01, x, -4/3, 4?
-0.01
Let v = 50/103 - 544/1545. Let q = -2.03 - -0.03. Let r = -2.07 - q. Which is the closest to -1/4? (a) v (b) r (c) 2
b
Let m = -3.7 + 0.7. Let o = 122.8341 - -0.2659. Let x = -123 + o. Which is the nearest to x? (a) m (b) -1/3 (c) -4
b
Let y = -0.1 - -4.1. Suppose 6*g - 74 = -37*g - 117. Which is the closest to y? (a) 0 (b) g (c) -6
a
Let j = -1103 - -1103.2. Which is the nearest to j? (a) -3 (b) 1/4 (c) 62
b
Let k = -31/202 - 4/303. Suppose -4*x - 37 = 5*n, -5*x = 12 + 3. What is the closest to n in 10, k, -2, -1?
-2
Let p = 54.894 - -0.106. Let f = -54.917 - 0.083. Let t = f + p. What is the nearest to -0.13 in 2/7, -1/3, t?
t
Let x = -0.3 + 0. Let n be 222*(-4)/(-32) + (-2)/(-8). Let r be (-10 - -6) + n/6 + -2. Which is the nearest to -0.2? (a) -6 (b) x (c) r
b
Let q = 218 - 233.3. Let k = -18.3 - q. Let t(y) = y. Let s be t(1). What is the closest to s in 2, -5, k?
2
Let v = 55.4 + -84.1. Let b = 28.8 + v. What is the nearest to b in 0.5, 5/4, -1?
0.5
Let i = 2.914 + -284.514. Let w = i + 282. Which is the nearest to -0.2? (a) w (b) 1 (c) -3/8
c
Let w(l) = 2*l**3 + 7*l**2 - 13*l + 17. Let g be w(-5). Which is the closest to 2? (a) -0.2 (b) 4 (c) -9 (d) g
b
Let n = -209 + 217. Which is the nearest to -0.04? (a) 0 (
|
{
"pile_set_name": "DM Mathematics"
}
|
be -3 + (-12)/(-4) - d/10. Factor -4/5*g**4 + 4/5*g**2 + 2/5*g + 0 + 0*g**3 - h*g**5.
-2*g*(g - 1)*(g + 1)**3/5
Let w(o) be the second derivative of -o**4/2 + 8*o**3/3 - 16*o**2/3 + o. What is u in w(u) = 0?
4/3
Let u(r) be the third derivative of -47*r**5/50 + r**4/30 - 141*r**2. Factor u(c).
-2*c*(141*c - 2)/5
Let k(r) = -2*r - 11. Let s be k(-9). Let o = 9 - s. Factor -h**2 - h**2 + 0*h**2 + o*h**3 + 0*h**2.
2*h**2*(h - 1)
Let q(k) be the first derivative of 28 + k**4 - 4/3*k**3 + 0*k - 4*k**2. Factor q(a).
4*a*(a - 2)*(a + 1)
Let n(s) be the first derivative of 2*s**5/35 + 25*s**4/14 + 332*s**3/21 + 96*s**2/7 - 576*s/7 + 417. Determine k so that n(k) = 0.
-12, -2, 1
Suppose -36 = -14*x + 5*x. Factor 8*t + 3*t**3 + 4*t**2 - 10*t**3 - x*t**4 - t**3 + 0*t**3.
-4*t*(t - 1)*(t + 1)*(t + 2)
Let w = -24 + 25. Factor -2*d**2 - 2 - d + w - d + 5.
-2*(d - 1)*(d + 2)
Let x(c) = -c**4 - 17*c**3 - 5*c**2 + 12*c + 11. Let j(v) = 9*v**3 + 3*v**2 - 6*v - 6. Suppose -p + 18 = 21. Let a(l) = p*x(l) - 5*j(l). Factor a(s).
3*(s - 1)*(s + 1)**3
Let i(z) be the second derivative of -z**4/42 + 2*z**3/7 - 9*z**2/7 + 163*z. Factor i(u).
-2*(u - 3)**2/7
Suppose p - 20 = -3*p, 5*p = 2*l + 9. Let q be 17/(-12) + 2 - 2/l. Suppose -q + 2/3*m**2 + 0*m + 0*m**3 - 1/3*m**4 = 0. What is m?
-1, 1
Let r be -4 + ((-3)/(132/(-133)) - -1). Let y = r + 5/22. Factor 0 - 1/2*b + y*b**2 + 1/4*b**3.
b*(b - 1)*(b + 2)/4
Let i be (-951)/(-5) - 6/240*8. Let x = i + -187. Let 0 - 1/4*u + 1/4*u**x - 5/8*u**2 + 5/8*u**4 = 0. What is u?
-1, -2/5, 0, 1
Let o(g) be the third derivative of g**5/180 - 49*g**4/36 + 2401*g**3/18 + 6*g**2 + 7*g. Factor o(z).
(z - 49)**2/3
Let l be 0/(-13 + 3 - -11). Factor l + 0*z - 9/2*z**3 + 3/2*z**4 + 3*z**2.
3*z**2*(z - 2)*(z - 1)/2
What is c in 3*c**2 + 0*c**2 - 8*c**2 + 7*c + 3*c + 40 = 0?
-2, 4
Let s(k) be the third derivative of k**6/360 - 11*k**5/180 + 35*k**4/72 - 25*k**3/18 - 5*k**2 + k. Solve s(t) = 0.
1, 5
Let r(j) be the third derivative of -12*j + 1/30*j**6 + 7/6*j**4 - 2*j**2 - 2*j**3 + 0 - 1/3*j**5. Solve r(o) = 0.
1, 3
Let 4*h**2 + 6*h - 1/2*h**3 + 0 - 1/2*h**4 = 0. Calculate h.
-2, 0, 3
Let q be -1 + 5 - 1 - 4. Let j be 3 + 3 + q + -1. Factor -j*o**2 + 7*o**2 - 4*o + 5*o + 5*o.
3*o*(o + 2)
Let d(p) be the second derivative of 12*p**2 + 25/2*p**6 + 0 + 165/4*p**5 + 34*p**3 - 27*p + 105/2*p**4. Find x such that d(x) = 0.
-1, -2/5
Let c = -67/87 - -643/609. Solve 0 + 4/7*b**4 + 0*b**2 - c*b**3 - 2/7*b**5 + 0*b = 0.
0, 1
Let q(d) be the third derivative of d**10/37800 - d**8/4200 + d**6/900 + 5*d**4/6 + 21*d**2. Let j(m) be the second derivative of q(m). Let j(g) = 0. What is g?
-1, 0, 1
Let a(u) be the third derivative of -u**5/120 + 3*u**3 + u**2 - 477*u. Factor a(z).
-(z - 6)*(z + 6)/2
Let i = 98 - 94. Let v(d) be the first derivative of -2/9*d**3 + 1/6*d**i + 1/15*d**5 + 1 + 1/3*d - 1/6*d**2 - 1/18*d**6. Factor v(s).
-(s - 1)**3*(s + 1)**2/3
Factor -45 - 9*w**2 + 19*w**2 + 23*w - 4*w**2 + w - 9*w**2.
-3*(w - 5)*(w - 3)
Let w(c) be the third derivative of -c**6/60 + c**4 + 16*c**3/3 + 49*c**2. What is x in w(x) = 0?
-2, 4
Let g(n) be the first derivative of n**8/2240 - n**6/160 - n**5/80 - 26*n**3/3 - 11. Let a(m) be the third derivative of g(m). Factor a(q).
3*q*(q - 2)*(q + 1)**2/4
Let a(z) be the second derivative of z**4/66 + 16*z**3/33 - 17*z**2/11 + 44*z + 2. Factor a(m).
2*(m - 1)*(m + 17)/11
Suppose -238 + 482 = -12*g + 244. Let 0 + 8/3*y**2 + g*y - 4/3*y**3 = 0. What is y?
0, 2
Suppose 1 = -s + 5. Suppose k - s + 4 = 0. Suppose 3/5*x**2 + k + 0*x = 0. What is x?
0
Let k(n) be the third derivative of -n**8/1512 - 2*n**7/315 - 13*n**6/540 - 2*n**5/45 - n**4/27 - 4*n**2 + 7*n. Determine u so that k(u) = 0.
-2, -1, 0
Let t(m) = 2*m**3 + m - 1. Let k(h) = -15*h**3 + 16*h**2 - 71*h + 7. Let r(s) = 3*k(s) + 21*t(s). Let r(a) = 0. What is a?
0, 8
Let j(s) be the first derivative of 2/39*s**3 + 4 + 2/13*s**2 + 2/13*s. Suppose j(l) = 0. What is l?
-1
Suppose k = -4*k + 75. Suppose -17*n - 12 - k*n**3 + 39*n**2 + 28*n - 23*n = 0. Calculate n.
-2/5, 1, 2
Suppose -r - 5*c + 37 = 0, r - 2*c - 30 + 42 = 0. Factor 1/4*m**4 + 1 - m + 1/2*m**3 - 3/4*m**r.
(m - 1)**2*(m + 2)**2/4
Let u = 1982 - 1982. Let h(o) be the second derivative of 0*o**2 + 1/15*o**3 - 2*o + u - 1/60*o**4. Determine r, given that h(r) = 0.
0, 2
Suppose -1 = 3*t + 2. Let r = t - -3. Factor 6*k**3 - 8*k**4 + 4*k - 33 + 18*k**r + 33.
-2*k*(k - 2)*(k + 1)*(4*k + 1)
Let m(g) be the second derivative of 3*g**5/20 + 17*g**4/4 + 26*g**3 - 479*g. Find a, given that m(a) = 0.
-13, -4, 0
Let j(b) = -b**3 - 3*b. Let r(x) = 9*x**3 - 24*x**2 + 15*x + 24. Let f(m) = 6*j(m) + r(m). Solve f(i) = 0.
-1, 1, 8
Suppose 187*w**5 + 108*w**2 - 378*w**5 - 409*w**5 + 940*w**4 - 6*w - 2*w - 504*w**3 = 0. Calculate w.
0, 1/5, 1/2, 2/3
Factor 0 + 2/5*i**4 + 0*i**2 + 8/5*i - 6/5*i**3.
2*i*(i - 2)**2*(i + 1)/5
Suppose -3*h + 9 = -3*n, 3*h = 4*n + 2*h + 3. Factor 7*i**2 - 11*i - 5*i**2 + n*i**2 + 3*i + 8.
2*(i - 2)**2
Suppose 7*t + 6 = 10*t. Let q be t/(-44)*(80/(-5) - -4). Factor 0 + 2/11*z**4 - 2/11*z - 6/11*z**3 + q*z**2.
2*z*(z - 1)**3/11
Factor 34*p**2 - 21 + 64*p**2 + 24*p - 101*p**2.
-3*(p - 7)*(p - 1)
Let y(j) be the first derivative of -3*j**2 + 1/4*j**4 - 1/2*j**3 - 5*j - 1. Let r(d) be the first derivative of y(d). Solve r(s) = 0 for s.
-1, 2
Suppose -7*k - 9 + 30 = 0. Let -3*h - 10*h**3 - 1 - 10*h**2 - 5*h**4 - k*h**5 + 2*h**5 - 2*h = 0. What is h?
-1
Let n(u) be the third derivative of u**7/42 - 23*u**6/24 + 143*u**5/12 - 605*u**4/24 + 4*u**2 + 4*u. Factor n(x).
5*x*(x - 11)**2*(x - 1)
Let r = 188/45 - 617/180. Factor 1/4*s**5 + 1/4*s**3 - r*s**2 + 3/4*s**4 + 0 - 1/2*s.
s*(s - 1)*(s + 1)**2*(s + 2)/4
Let l = 9 + -15. Let q = l - -7. Suppose 12*f + 10*f**3 + 18*f**2 + 3*f**4 + 2*f**3 + 2 + q = 0. What is f?
-1
Let j = -23 - -28. Let z(r) = 3*r**3 - 6*r**2 - 15*r. Let o(i) = 2*i**3 - 7*i**2 - 14*i. Let s(y) = j*z(y) - 6*o(y). Factor s(p).
3*p*(p + 1)*(p + 3)
Suppose 6*f = 5*f + 5. Let s(n) = -7*n**2 - 2*n - 1. Let m(o) = -6*o**2 - 2*o - 1. Let v(b) = f*s(b) - 6*m(b). Factor v(k).
(k + 1)**2
Let c(z) be the first derivative of z**3/3 - z**2 - 15*z + 114. Find b such that c(b) = 0.
-3, 5
Let p(t) = -2*t**3 + 40*t**2 - 86*t - 324. Let l(m) = -6*m**3 + 118*m**2 - 259*m - 972. Let v(z) = -4*l(z) + 11*p(z). Solve v(y) = 0 for y.
-2, 9
Let r(n) = -3*n**2 - 18*n - 22. Let k = -14 + 9. Let d(t) = -5*t**2 - 35*t - 45. Let j(p) = k*r(p) + 2*d(p). Factor j(i).
5*(i + 2)**2
Suppose -159*j + 164*j = 105. Let m be -5 + 8 + -1*j/9. Factor -1/3*g**5 + 1/3 - 2/3*g**2 - 1/3*g + m*g**3 + 1/3*g**4.
-(g - 1)**3*(g + 1)**2/3
Let u(a) be the second derivative of 1/7*a**7 + 0 + 0*a**2 - 3/4*a**4 + 38*a + 0*a**3 - 3/5*a**5 + 1/10*a**6. Determine m, given that u(m) = 0.
-1, 0, 3/2
Let n(b) be the second derivative of 15*b + 0 + 1/2*b**4 + 1/10*b**5 + 0*b**2 + 2/3*b**3. What is y in n(y) = 0?
-2, -1, 0
Let k(p) = -20*p**5 + 52*p**3 + 24*p**2 - 8*p. Let f(q) = q**5 + q**4 + q**2 + q. Suppose -9*i = -10*i - 24. Let r(j) = i*f(j) - k(j). Factor r(d).
-4*d*(d + 1)**2*(d + 2)**2
Suppose 7*a = 5*a + 8. Let c(t) = -t + 7. Let w be c(a). Find m such that -3*m + 9*m**3 - 25*m**w - 20*m**2 - m = 0.
-1, -1/4, 0
Let y(j) = -6*j**3 - 2*j**2 - 47*j + 2. Let z be y(0). Let v be (20/7)/((-3)/(-9)). Factor -z*m**3 - 1/7*m**4 - 50/7*m + 125/7 - v*m**2.
-(m - 1)*(m + 5)**3/7
Let p(c) be the second derivative of c**9/30240 + c**8/16800 - c**7/1680 + c**6/1200 - c**3/3 - 12*c. Let k(o) be the second derivative of p(o). Factor k(l).
l**2*(l - 1)**2*(l + 3)/10
Let n be (4/84)/((-1)/(-6)). Let h be 72/(-1008)*(-2 - 2). Factor -h*q**2 + 4/7*q - n.
-2*(q - 1)**2/7
Let m(n) be the third derivative of n**7/1260 - n**6/180 + n**5/72 - n**4/72 + 18*n**2. Let m(h) = 0. Calculate h.
0, 1, 2
Let p be ((-141)/(-188))/((-21)/(-16)) + 6/(-21). Factor 0 - p*s**4 + 0*s - 2/7*s**2 - 4/7*s**3.
-2*s**2*(s + 1)**2/7
Let g(q) = -48*q + 242. Let d be g(5). Let w(s) be the first derivative of 8 + 20/3*s**3 + 4*s**d + 0*s. Determine j, given that w(j) = 0.
-2/5, 0
Let s(i) be the third derivative of i**5/150 - 7*i**4/30 + 8*i**3/3 - 4*i**2 - 28. Factor s(t).
2*(t - 10)*(t - 4)/5
Let 40*g**2 + 128/3 + 2/3*g**4 + 28/3*g**3 + 208/3*g = 0. What is g?
-8, -2
Let u(c) be the t
|
{
"pile_set_name": "DM Mathematics"
}
|
- ((-17800)/(-17805) - 5))?
False
Let w(n) = n**2 - 128*n + 5562. Does 6 divide w(56)?
True
Suppose 0 = -3*c + 9, t + t = -3*c - 669. Let v = t - -687. Is v a multiple of 52?
False
Let f(s) = s**2 - 8*s + 18. Let g be f(6). Suppose 4*r = 3*h + 101, g*r - 3*r + 3 = 0. Is 32 a factor of (-3)/(-7) - (5060/h + 2)?
False
Let b be (-137)/(-9) + (-6)/27. Let c(i) = -i**3 + 14*i**2 + 16*i - 12. Let l be c(b). Suppose q + 2*r = 88, 0 = -l*q + 4*r - 187 + 491. Is 32 a factor of q?
True
Suppose -4 = -2*o, 35*o - 18 = -2*h + 31*o. Suppose -5*v + 271 = -4*g - 295, -h*g = 4*v - 461. Is 4 a factor of v?
False
Let n be -6*((-5)/(-2) - 3). Let a(q) be the second derivative of q**5/10 - q**4/2 + q**3 + 2*q**2 - 14*q. Is a(n) a multiple of 8?
False
Let g be 542/6*(-9)/3. Let p = g + 329. Is p a multiple of 3?
False
Suppose 0 = 4*d + 5*s - 6181, 5*d + 4*s = 15*d - 15502. Is d a multiple of 2?
False
Suppose 4*f + 2*u = 8, 3*f - 4*u + 0*u = 28. Suppose -27 = -3*d - 3*j, -f*d + d + 33 = 5*j. Let l(q) = 7*q - 9. Is 11 a factor of l(d)?
True
Let g = -3741 - -5402. Suppose 2*b - 793 = 2*k + 863, 0 = -2*b + 3*k + g. Suppose 0 = -5*t + 27 + b. Does 8 divide t?
False
Let t = 1618 + -1189. Does 19 divide t?
False
Let w(c) = -16*c**2 + 19*c - 14. Let b(m) = 17*m**2 - 20*m + 14. Let u(j) = -5*b(j) - 6*w(j). Does 18 divide u(4)?
False
Let v(m) = -m**2 + 3*m + 42. Let z be v(-5). Suppose 8*h - 9*h + 14 = z*y, 0 = h + y - 11. Is 4 a factor of h?
True
Let m(a) = -5*a + 14. Let t(y) be the second derivative of -y**3 + 15*y**2/2 - 14*y. Let q(u) = 4*m(u) - 3*t(u). Does 6 divide q(-6)?
False
Let f = 4803 + 1005. Is 6 a factor of f?
True
Let i = 16 + -2. Let q = i + -11. Is 10/q*(-342)/(-95) a multiple of 3?
True
Suppose -1026*l + 1029*l - 1809 = 0. Let b = l - -498. Is b a multiple of 65?
False
Let b(m) = 2*m + 300. Let v(a) = -a**3 - 14*a**2 + 18*a + 9. Let o be v(-15). Does 17 divide b(o)?
False
Suppose -c - 2*c - 5*o - 5 = 0, -5*c - 3*o = 3. Suppose 4*r - 4*d = 16, r + c*r + 2*d = 4. Suppose -b + 12 = r. Is 8 a factor of b?
True
Let v = 5419 + -4627. Does 44 divide v?
True
Let a = 85 + 76. Let x be 6*10*9/180. Suppose 5*w + 121 = x*p, 5*w + 44 = 5*p - a. Is p a multiple of 20?
False
Let j(o) = 4*o**2 + 2*o - 2. Let k be j(5). Let a = k - 105. Suppose 10*y - 294 = a*y. Is 14 a factor of y?
True
Let g(x) = 74*x - 55. Let p be g(-6). Let i = p - -1400. Is i a multiple of 17?
True
Let m be (-60)/45*4812/(-16). Suppose m = z - 731. Is z a multiple of 22?
False
Let a = -850 + 647. Is 80*((-58)/a)/(4/7) a multiple of 5?
True
Let n = 181 - 399. Let w = 372 + n. Does 7 divide w?
True
Suppose 9 = 4*c - 7. Suppose -242 = -2*n - 2*y, 5*n - 6*y = -2*y + 560. Suppose -8*m = -c*m - n. Is 5 a factor of m?
False
Let a(s) = 2*s**3 + 61*s**2 - 34*s - 56. Is a(-17) a multiple of 5?
True
Let f = -22 - -26. Suppose 1 + f = q. Suppose 4*c + 74 = h, -q*c + 191 = -4*h + 8*h. Does 4 divide h?
False
Let k(y) = -2*y**3 - 20*y**2 + 9*y**3 - 21*y - 8*y**3 - 33 + 0. Let w be k(-19). Suppose 2*o = -w*t + 4*o + 505, -4*o = -5*t + 515. Does 14 divide t?
False
Let t(s) = s**2 + 2*s - 52. Let f be t(8). Let l(r) = -r**3 + 29*r**2 - 23*r - 28. Is l(f) a multiple of 4?
True
Suppose 19*j - 11 + 68 = 0. Is 15 a factor of j + -4 + 390 - (6 - 3)?
False
Suppose -8 = -r - t, -4*t = r - 1 - 10. Suppose 3 + 25 = r*p. Suppose -h + p*h = 5*f + 54, 2*h - 5*f = 31. Is h a multiple of 6?
False
Let f be 108/162*(-1 - (-4426)/4). Suppose -2*t + f = -5*m + 4*m, -5*m = 2*t - 755. Does 10 divide t?
True
Let v = 76341 - 43605. Does 186 divide v?
True
Let c = 1 + 0. Let j(d) = -68*d**2 + 2*d - 6. Let l(z) = 69*z**2 - 2*z + 7. Let h(p) = -6*j(p) - 5*l(p). Is 9 a factor of h(c)?
False
Suppose -4*v + 36972 = 4*m, -m - 4*v = -9712 + 460. Suppose -73*s + m = -61*s. Is 10 a factor of s?
True
Suppose 227*k - 230*k = -15. Suppose 3*t - 3474 = -k*h, -3*h = -5*t - 2146 + 82. Is 11 a factor of h?
True
Let u = 411 + -357. Suppose 2*z = -2*g + 4186, 4*g + 59*z = u*z + 8374. Is 13 a factor of g?
False
Suppose -29*f = -32*f + 723. Suppose 0 = -5*x - 10, 4*x + 0 = -l + f. Is l a multiple of 21?
False
Suppose 16 = 2*v + 8. Suppose -11*c + v*c + 98 = 0. Let q(j) = 4*j - 28. Is 14 a factor of q(c)?
True
Does 88 divide (-4340230)/(-250) + (-462)/(-150) + -3?
False
Let v(w) = w**3 - w**2 + w - 2. Let a = 4 + -21. Let k = a - -19. Is v(k) a multiple of 4?
True
Let w(o) = o**3 - 5*o**2 + 2*o - 7. Let i be w(5). Suppose 4*d + 4*u = 8, -2*d + i*u + 28 = -1. Is 9 a factor of (1 - 2)*d*(-28)/4?
False
Is (-1666)/17*-78 + -18 a multiple of 82?
True
Suppose 15*k + 3624 = 3*l + 13*k, 0 = 2*l - k - 2418. Is l a multiple of 113?
False
Let h(s) = 96*s + 27. Suppose 15*i = 5*i + 70. Does 22 divide h(i)?
False
Let x(c) = 42*c + 88. Let d be x(-2). Suppose g = -5*q + 440, -1694 = -d*g - 73*q + 75*q. Is g a multiple of 17?
True
Let t = -59 + 148. Let z = 382 - 378. Suppose -3*r + 4*l = 30 - t, z = 4*l. Is 8 a factor of r?
False
Let d(i) = -194*i**2 + 3*i - 7. Let k be d(-5). Is (5 + -4)/(4*(-3)/k) a multiple of 29?
True
Let j(k) = 2*k**2 + 44*k + 104. Is 2 a factor of j(-32)?
True
Let l = -5122 - -23102. Does 10 divide l?
True
Let a(f) be the second derivative of f**4/12 + 4*f**3/3 + 8*f**2 + f + 7. Does 11 divide a(7)?
True
Let i(y) be the third derivative of y**5/30 - 49*y**4/24 + 61*y**3/6 - 27*y**2 - 1. Does 12 divide i(26)?
False
Suppose 335*r + 125020 = 363*r. Is 28 a factor of r?
False
Let b be 1526/3*54/63. Suppose -p + 136 = -4*h, -10*h - b = -3*p - 5*h. Is p a multiple of 16?
False
Suppose -20*k = -19*k - 1664. Suppose 2*r = 5*v + r - k, -r + 1 = 0. Is v a multiple of 36?
False
Let d = -95 + 359. Is 11 a factor of (18/(-36))/(2/d)*-11?
True
Suppose 9*i - 5*z = 6*i - 22, 2*z = -5*i + 15. Let y = i + 799. Does 40 divide y?
True
Let f be -189 - 9*1/3. Let w = 232 + f. Is 14 a factor of w?
False
Let c(n) = 27*n**2 + 214*n - 2474. Is c(12) a multiple of 11?
True
Let d = 7 - 7. Suppose -2*n = -4*m - 28, d - 9 = 3*m. Is (-244)/(-10)*20/n a multiple of 11?
False
Let l be (-15)/(-5) + 0 - (-6)/2. Does 27 divide 54/(((-84)/(-49))/l)?
True
Let c(q) = 912*q**2 + 107*q + 10. Does 63 divide c(-4)?
False
Let v be 2/(-4)*(-2)/1. Let m be v/(-2) + (-35)/(-10) - -1. Suppose -41 = -2*c + t - 4*t, -m*c = 3*t - 97. Is 7 a factor of c?
True
Let v = -44 + 54. Suppose -7*o + 3*o + v = 3*h, -5*h + o = -32. Suppose -h*l + 391 = 55. Does 16 divide l?
False
Let k be ((-32)/64)/(2/(-8)). Suppose 0 = 2*q - 5*s - 163, k*q - 49 - 126 = s. Is q a multiple of 18?
False
Let f(x) = x**2. Let r(i) = -42*i**2 + 2*i - 2. Let u(m) = -5*f(m) - r(m). Let c be u(1). Suppose c = -6*k + 505. Does 13 divide k?
True
Let c be (-183)/((-185)/(-95) - 2). Let g = c + -2298. Is g a multiple of 79?
False
Let p(v) = -v**3 + 14*v**2 + 17*v - 1. Let q be p(15). Suppose -5*z - q = 11. Let r(j) = j**2 + 4*j + 4. Is r(z) a multiple of 18?
True
Suppose -788030 + 2040830 = 145*h. Is 80 a factor of h?
True
Suppose -9691 + 42314 = 17*y. Is 15 a factor of y/19 - (-1 + -1)?
False
Let h(z) = 8*z + 96. Suppose 90 - 34 = 8*o. Is 12 a factor of h(o)?
False
Let u(s) = -39*s. Suppose 3*w = -2*f + 15, -3 = -5*w - 0*f + 4*f. Suppose -2*c - w = c. Is 6 a factor of u(c)?
False
Is 10 + (6/15 - 697920/(-75)) a multiple of 87?
False
Suppose 7 = -4*g + 23. Suppose -3717 = -g*d + 3*x, 12*d - 16*d + 3716 = -4*x. Is d a multiple of 30?
True
Let c(t) = 3*t**2 - 31*t - 273. Let i = -263 - -250. Does 49 divide c(i)?
True
Let j be (-40)/140 - (-194)/(-7). Let s be 3/(78/j + 3). Is (72/28)/(-6) + 174/s a multiple of 6?
True
Suppose 0 = 102*r - 71*r - 18104. Is 4 a factor of r?
True
Is (-18 + -186)/((-5)/((-370)/(-4))) a multiple of 7?
False
Let h(u) = -u**3 - u**2 + u + 40. Let i = -25 - -29. Suppose -i*q = 2*q. Is h(q) a multiple of 14?
False
Let d(q) = 13361*q**3 - q. Let b be d(1). Does 37 divide (-2)/9 - b/(-180)?
True
Let v be (-27 + 11)/(-4) + (-3)/(-1). Let s = -44 - -89. Suppose 0 = v*t + s - 325. Is t a multiple of 40?
True
Let j be ((-30)/(-3)*-2)/(10/(-995)). Suppose -7 = 5*f - w - j, -3*f + 1173 = 5*w. Does 33 divide f?
True
Suppose -4*u + 12 = -2*u - 3*j, -5*u + 21 = -3*j. Suppose 4 = k + 3*k + 5*w, 0 = -u*k - w - 8. Is 6 a factor of 4 + 120*k/(-6)?
True
Let n be -4*((-315)/(-336))/((-3)/4). Suppose 5*t - n*d = 7*t - 605, 0 = 2*t
|
{
"pile_set_name": "DM Mathematics"
}
|
i(g) = g**3 - 8*g**2 + 10*g - 3. Let p be i(7). Which is bigger: p or a?
p
Let y = -863 + 743. Which is smaller: y or 0?
y
Suppose -5*d + 27 = -z, 2*d - d + 57 = -5*z. Is z less than or equal to 3?
True
Let g = -24.977 - -25. Let o = g - 0.323. Are 9 and o unequal?
True
Let m = 0.0287 - 0.0887. Which is smaller: 42 or m?
m
Let j = 7069 + -7107.69. Let z = 39 + j. Let k = z - 0.71. Which is smaller: k or 3/4?
k
Suppose 0 = -m - 6 + 10. Which is bigger: -4 or m?
m
Suppose -5*d = -5*y - 100, -3*d + 68 = -0*y + y. Are d and 18 unequal?
True
Let f = -101 - -67. Let k = -33 - f. Which is smaller: k or -7/8?
-7/8
Let n(r) = -31*r**2 - 3*r + 3. Let z be n(-3). Let q = z + 385. Let p be q/220 - (-4)/(-10). Which is bigger: p or 1?
1
Let y(g) = g**3 + 4*g**2 - 10*g - 3. Let q be y(-6). Let j be 6/q + (-10)/(-25). Which is smaller: -2/91 or j?
-2/91
Suppose -2*n + 3*n = -3*z, -z - 3*n + 8 = 0. Let y(j) = -25*j**2 + 1. Let k be y(z). Let b be 3/(-12) + (-22)/k. Which is greater: 0 or b?
b
Let a = -31 - -23. Let y be (-2)/(-3) + (-2)/3. Suppose -28 = -y*u + 4*u. Which is smaller: u or a?
a
Let t = 326592/8359 - 508/13. Is 0 != t?
True
Let p(c) = -c**3 - 8*c**2 + 10*c + 3. Let v be p(-9). Let m be (v/(-5))/((-2)/(-35)). Let r be m - (-8 + 4) - 4. Which is smaller: 1 or r?
1
Let w = 288 - -216. Which is bigger: w or 505?
505
Let v(j) = -8*j**3 - j**2 + 2*j - 7. Let x be v(-3). Is 194 at most as big as x?
True
Let s = 11 - 4. Let p = 7.1 - s. Let d = 1.5 + -0.8. Are d and p equal?
False
Let a(m) = m**2 - 3*m - 6. Let u be a(7). Let q be u/(-18) - (-10)/45. Which is smaller: q or 1/26?
q
Suppose -2*c + 4*k = -72, 0 = -5*k + k - 16. Is c less than 2?
False
Let b(c) = -c**3 - 27*c**2 + 42*c + 395. Let s be b(-28). Are -7 and s unequal?
True
Suppose 4*h + 4*s - 482 = 3*s, 2*s = -4. Let c = 122 - h. Which is greater: -3/14 or c?
c
Let a = -24.4 + 2.6. Let b = -22 - a. Which is greater: 4 or b?
4
Let p(k) = -k**3 - 5*k**2 + 6*k + 1. Let c be p(-6). Let z = c - 5. Let w(v) = -v - 6. Let f be w(-3). Is f equal to z?
False
Let w = 18068/111 - 488/3. Is 1 < w?
False
Let j(a) = -12*a**3 - 4*a**2 - 3*a - 1. Let h be j(-2). Let i = -3827/45 + h. Let w(u) = u**2 + 6*u - 27. Let r be w(-9). Which is greater: r or i?
r
Let z = 139.4 - 15.4. Let h = z + -124.1. Let k = 0 + 1.5. Which is smaller: k or h?
h
Let p = 105798771/4895 - 108069/5. Let j = -2/89 + p. Let d(c) = -c**2 - c + 1. Let f be d(-2). Is f less than j?
True
Let y(d) = d**3 - 3*d**2 + d + 1. Let z be y(2). Let a(b) = -2*b**2 - 4*b**3 + 145*b + b**2 - 146*b. Let q be a(z). Are q and 2 unequal?
True
Let d(p) = 138*p + 46. Let b be d(2). Is 1 less than b?
True
Let b be (-39)/(-144) - 14/42. Suppose -5*n - 5 = -0*n. Is n < b?
True
Let d(c) = c**3 + 10*c**2 - 12*c - 9. Suppose 22 = 3*p - 5*p. Let u be d(p). Let n be 11/((-308)/48) + u. Is n less than or equal to 1?
True
Suppose 0 = 3*z + 57 + 18. Let w be 10/z + 96/15. Is 9 greater than w?
True
Let a(n) be the first derivative of -n**2/2 + n - 2. Suppose -4*b + 2 = -3*b. Let j be a(b). Which is greater: j or 2/27?
2/27
Let u = -0.84 + -32.16. Let p = 3/20 - 2/5. Which is smaller: u or p?
u
Let p(z) = -36*z + 21. Let l be p(6). Let v be 102/l - -1 - 10/25. Let n(a) = -a**2 + 2*a + 1. Let k be n(2). Which is bigger: v or k?
k
Let b = -609/4 - -153. Let r be (-4 + 77/14)/(-1). Is b <= r?
False
Let v = -71 - -71. Let r be v*1/(-2)*1*1. Which is bigger: 3/37 or r?
3/37
Let v = 43.007 - 43. Let x = v + -6.007. Which is smaller: 1/4 or x?
x
Let p(l) = -4*l**2 + 1. Let v be p(1). Let c be v/1 - (-32)/24. Which is smaller: c or -1/2?
c
Let z = -690 - -668. Is z > -22?
False
Suppose 0*j + 4*j = 3*k + 30, -21 = -3*j + 3*k. Let i = 53 - 52. Let l be -3*(5 + -6 + i + -3). Does j = l?
True
Let i = -628 - -959. Suppose 4*x + i = 5*v, -x + 3*v - 50 - 24 = 0. Is -88 at least x?
True
Let l be 12/60*(1 - 0). Suppose 2*u - 3 + 9 = 2*m, -3*m = u - 9. Suppose 11 = 2*c - m*c. Which is greater: l or c?
l
Let v = -851 + 848. Which is greater: -0.04 or v?
-0.04
Suppose 3*v - 42 = -3*g, g = 4*v - 18 - 58. Let t be 14 - v - (-7)/(-1). Which is smaller: t or -10?
t
Let r = 326 + -241. Which is smaller: 1 or r?
1
Let p be (-279)/231 + 4 + -3. Let s = -1389/385 - p. Suppose b = 4*n + 18, 3*n + 2*n + 21 = 2*b. Is s > b?
False
Suppose -4*x + 0*x = -8. Let h be 1/x - 15/78*-7. Which is smaller: h or 1?
1
Suppose 0 = -8*t + 5*t - 39. Let x = 6 + -12. Let k = x - t. Is k > 8?
False
Let o be (-56)/(-78) - (-2)/(-6). Let k = -1118 + 1118. Which is bigger: o or k?
o
Suppose 0 = 49*f - 61*f - 3108. Is f less than or equal to -259?
True
Let g be (1/51)/((-2)/(-4)). Let b(t) = t**3 - 7*t**2 - 22*t + 35. Let y be b(9). Which is greater: y or g?
g
Suppose -5*v + 3*a + 1680 = -0*a, 4*v = -a + 1327. Which is smaller: 2/3 or v?
2/3
Suppose 18*d = 4*d - 14. Is d less than or equal to -2/2207?
True
Suppose a + 9 - 6 = r, -5*a + 1 = -r. Let j = 392 + -22342/57. Which is bigger: j or a?
a
Suppose -2*i - 3*p + 11 = -8*p, 2*i = 4*p + 8. Let b = 8 + 12. Is i at most as big as b?
True
Let o = 1 + 18. Let q = o - 17. Which is smaller: 2/29 or q?
2/29
Let p = -1/33 - 28/165. Let x = 0.4 + -3.4. Let v = x + 5. Which is bigger: v or p?
v
Suppose 12*y - 16 = 8*y. Suppose d = -d - y. Let r = 3 + d. Is r less than or equal to 4?
True
Suppose 2*v = v + 4. Let j(d) = -d - 6 - 2 - 10*d - v + d**2. Let k be j(12). Which is smaller: 2/7 or k?
k
Suppose 3*a + 9 = 0, 5*a + 270 = -h + 4*h. Let s = 86 - h. Is -6 != s?
True
Let k = -206.5 - -211.9. Which is smaller: -0.04 or k?
-0.04
Let w(j) = 5*j**2 + 10*j + 15. Let n be w(-2). Let c = 17 - 3. Which is smaller: n or c?
c
Let u(l) = -6*l + 30. Let c be u(8). Let k be -1 + (-9)/((-9)/(-14)). Which is greater: c or k?
k
Let x be ((-7)/(-133))/(4/(-36)). Are x and -1 unequal?
True
Let i = 3179/15 + -212. Let u(c) = -c**3 - 37*c**2 - 67*c + 104. Let v be u(-35). Do i and v have the same value?
False
Let s = 1449 + -13024/9. Which is smaller: s or 2?
s
Let o(a) = -a + 1. Let w be o(-3). Suppose -2*i + 5*z = -5*i - 22, -z = w*i + 1. Let t be (-4)/90 + (-2)/5. Which is greater: t or i?
i
Let d(p) = p**2 + 61*p + 225. Let v be d(-57). Is v > 79/2?
False
Let v(r) = -r**2 + 26*r - 161. Let h be v(11). Let a be (-3)/(-6) + (-10)/(-4). Let g = a - h. Which is smaller: 2/11 or g?
g
Let d be 70/105 - (-1)/(-3)*-4. Let b be -4 - (-3)/2*d. Which is smaller: -9/4 or b?
-9/4
Suppose 3*t - 131 = -2*v, -v + t = -5*v + 287. Let l be (v/(-4))/((-1)/(-4)). Is -75 at least l?
False
Let d = -3 + 2.94. Let j = d + -1.94. Let c = -4232.1 - -4232. Which is smaller: c or j?
j
Let r be 12/(-8)*16/12. Let f be r/((-28)/8 - -4). Which is smaller: f or -2?
f
Let m be 8/10*20/(-8). Let c = 1370 - 17831/13. Which is smaller: c or m?
m
Let y = 3.1 + -2.85. Let d = 0.55 - y. Let w = d + -0.32. Is w equal to 1/2?
False
Let p be 12/(-30)*66/4. Let b = p - -393/55. Is 1 >= b?
True
Let h = 0.023 - 76.023. Let s = h + 76. Which is smaller: -5 or s?
-5
Let b(o) = o**3 - o - 23. Let m be b(0). Let f be ((-24)/(-9) - 4) + -11*14/6. Which is bigger: f or m?
m
Let k be 2/((-18)/(-81)) - 239. Which is smaller: -232 or k?
-232
Let g = 22 - 21.91. Let x = 1.19 - g. Is x less than -2/3?
False
Let t = 11 + -1. Suppose -7*u + 9*u = t. Suppose u*k + 6 = 4*k. Which is bigger: k or -5?
-5
Let t(a) = -a**2 + 29*a - 10. Let j be t(27). Which is smaller: 41 or j?
41
Suppose 3*u - 4*l = 493, 0 = 2*u + 2*u + l - 651. Let h be u/(-6) - 3/(-18). Let q be (h/90)/(6/5). Which is smaller: q or 1?
q
Let c(a) = a**3 + 7*a**2 + a + 6. Suppose -41 = 3*b - 4*g, -5*g - 39 = 2*b - 10*g. Let m be c(b). Is m bigger than 1/5?
False
Let j(k) = k**2 + 2*k + 2. Let f be j(-2). Let a = 0 - -3. Let n be f/a*(-6)/2. Which is greater: n or 9?
9
Suppose 10*y - 160 - 590 = 0. Is 73 smaller than y?
True
Let i(v) = -v**2 - 3*v + 6. Let a be i(0). Let j = -7 + a. Let y be -1*1/4 - 0. Which is smaller: y or j?
j
Let u = -0.313 - 2.687. Is -57 at most u?
True
Suppose -2*a - 2*u = 42, 5*u = a + 7*u + 24. Is -20 less than a?
True
Let u(j) = -17*j - 54. Let v be u(-2). Let y be (-4585)/231 + 2/11. Which is smaller: y or v?
v
Let d(v) be the third derivative of v**5/60 + 11*v**4/12 + 11*v**3/6 + 7*v**2. Let o be d(-20). Which is greater: o or -30?
o
Let o(m) = -m - 14. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
et p be f(-6). Round p to 4 decimal places.
0
Let o = -0.99999904 + 1. Round o to six dps.
0.000001
Let f(w) = 31406*w**2 + 12*w + 6. Let m be f(-11). Round m to the nearest 1000000.
4000000
Let g = -0.3 + -13.7. Let d = g + 13.999912. What is d rounded to five decimal places?
-0.00009
Let r(j) = -10*j**3 + j**2 + 3*j + 3. Let d be r(-3). Let h(u) = 1528 + 65 - u - d. Let f be h(0). What is f rounded to the nearest one hundred?
1300
Let d = 924 + -881.3. Round d to zero dps.
43
Let k = 57 + -53.8. What is k rounded to zero dps?
3
Suppose -d + 0*d - 3*f - 3 = 0, d - 4 = 4*f. Suppose 4*n + 828519 - 7788519 = d. Round n to the nearest one hundred thousand.
1700000
Let v = -1 - -0.999928. What is v rounded to five dps?
-0.00007
Suppose 6*w = 3*w + 120000045. Suppose 5*y = 3*a - w, 24000010 = -y - 2*y + 2*a. Round y to the nearest one million.
-8000000
Let i = -1467.9 + 1476.109. Let d = 0.109 - i. Let q = d + 8.09937. Round q to 4 dps.
-0.0006
Let r = 16.8 + -18. Let z = 1.188 + r. Round z to 2 dps.
-0.01
Let n = -27915240.34299404 - -0.34299404. Let t = n + 27915238.8000107. Let a = t + 1.2. Round a to 6 dps.
0.000011
Let g = -2.8 - -0.6. Let p = 1.88 + g. What is p rounded to one decimal place?
-0.3
Let d = 5873 + -15007. Let i = d + 9143.001. Let o = i - 9. What is o rounded to three dps?
0.001
Let j = 165 + -138.6. Round j to the nearest integer.
26
Let h = 13 - 12.9904. Round h to 3 dps.
0.01
Let n = 31 - 167. Let r = 13906 + -14040.82. Let k = n - r. Round k to 1 decimal place.
-1.2
Let z = -217.9999476 - -218. Round z to 5 dps.
0.00005
Let p = 1.617137 - -56104.702863. Let i = -55881.32113 + p. Let h = i - 225. What is h rounded to 4 dps?
-0.0011
Suppose y = 4*y. Suppose 4*q + 2157506 - 8557518 = y. Suppose -z = -s + 101837 + 218162, 5*z + q = -3*s. What is z rounded to the nearest 100000?
-300000
Let d = -3.1000014 + 3.1. Round d to 7 decimal places.
-0.0000014
Let m = -5.53 + 33.63. Let j = 28.3048 - m. Let d = 0.2 - j. Round d to 3 dps.
-0.005
Let i(k) = -k + 5. Let b be i(0). Suppose -b*j = 297901 + 92099. What is j rounded to the nearest 10000?
-80000
Let o = -89 + 69. What is o rounded to the nearest one hundred?
0
Let n(m) = -m**3 + m**2 + 250. Let i(g) = -g + 2. Let z be i(2). Let q be n(z). Round q to the nearest one hundred.
300
Let q = 23.8 - 20. Let w = q + -7.5. Let g = -3.699966 - w. What is g rounded to five dps?
0.00003
Let f = 0.3 + 12.7. Let j = f + -14.76. Round j to one decimal place.
-1.8
Let f = -49.999528 + 50. What is f rounded to 4 decimal places?
0.0005
Let t = 0.09 - 0.0898. What is t rounded to 4 dps?
0.0002
Let c = -697.384 + 702. Let f = -0.016 + c. Let h = f + -3.93. What is h rounded to 1 decimal place?
0.7
Suppose -4*o - 3*q - 23767 = -69538, 0 = -3*o + q + 34312. Let j = -5639 + o. What is j rounded to the nearest 1000?
6000
Let v = 9 - 8.3. Let m = 0.61 - v. Let i = m + 0.0900009. What is i rounded to 6 dps?
0.000001
Let m = -21.3999911 + 21.4. Round m to six dps.
0.000009
Let i = 1.8 - 1.2. What is i rounded to one decimal place?
0.6
Suppose r - 1410760 = 7882654. Suppose 27706586 + r = 5*x. What is x rounded to the nearest one million?
7000000
Let j = -4.95392 - -4.743941. Let g = j - -0.21. Round g to five dps.
0.00002
Let w = -107 + 106.9999708. What is w rounded to 6 dps?
-0.000029
Suppose 0 = 2*a + i - 726, -2*a + 686 = 4*i - 34. Let q = 10 - 7. Suppose h + q*h = -a. Round h to the nearest 10.
-90
Let x = -4467 - -501. Let p = 1966 + x. What is p rounded to the nearest 1000?
-2000
Suppose -2*l - 308 = -o, -4*o - 618 = -l - 1829. Round o to the nearest one hundred.
300
Let b = 76.857 - 77. Round b to 2 dps.
-0.14
Let d = 0.46857 - -0.2567. Let v = d + -0.84526957. Let x = 0.12 + v. What is x rounded to seven decimal places?
0.0000004
Suppose 0 = -4*v + 2*o + 2*o - 148, -4*o - 97 = 3*v. What is v rounded to the nearest 10?
-40
Let h = -1.524 + -0.076. What is h rounded to one dp?
-1.6
Let w = -1 + 2.3. Let f = 1.3000056 - w. Round f to 6 decimal places.
0.000006
Let q = 3922 + -3749.96. Let n = q - 169. Let y = n - 4. What is y rounded to 1 decimal place?
-1
Let q = 109.672 + -109. Let f = -0.79 + q. What is f rounded to two decimal places?
-0.12
Let z = 3.087 + -3.1. Let x = -50.013 - z. Let v = x - -50.000094. What is v rounded to five dps?
0.00009
Let l = -1.1 + -23.9. Let p = 4 + l. Let a = -21.00063 - p. Round a to four dps.
-0.0006
Suppose 5*o = -w + 36, 3*w = 2*o - 38 + 197. Suppose -8*x - 4*z = -3*x - 64, 3*z = -4*x + w. Let d = 138 + x. What is d rounded to the nearest one hundred?
200
Let b(d) be the second derivative of 89*d**4 + d**3/2 - 3*d**2/2 - 3*d. Let u be b(-3). Round u to the nearest one thousand.
10000
Suppose q + q = -82112. Let i = q - -4056. Round i to the nearest 10000.
-40000
Let v = 0.05640229 - 0.0564. What is v rounded to seven dps?
0.0000023
Let l = 3.4 + -3.27. Let i = -0.12933 + l. What is i rounded to four decimal places?
0.0007
Let i = -717860 - -2667860. Round i to the nearest 100000.
2000000
Let z = -7052.9 + 855.9. Let p = z + 6197.39995. Let l = 0.4 - p. Round l to 5 decimal places.
0.00005
Let q = -17 + 52. Let l = q + -34.62. What is l rounded to 1 dp?
0.4
Let y be -219 + (1 - -1) + 1. Let n = 20784 - y. Round n to the nearest 10000.
20000
Let b be (6/12)/(1/(-2)). Let c be (3/4)/(b/(-4)). Suppose -c*j + 2*k + 20837 = -6763, -j + 9200 = -5*k. What is j rounded to the nearest 1000?
9000
Let c = -1693 + 1110. Let a be c - (0 + -3 - 0). Round a to the nearest 100.
-600
Let w = 0.273 - 0.27300855. What is w rounded to six decimal places?
-0.000009
Suppose 0*s + l = 2*s - 3, 5*s - l = 0. Let b be (3280/(-6))/(s/7500). Suppose -a - 4*a + b = 0. Round a to the nearest 100000.
800000
Let z = -2.112 + 0.012. Round z to the nearest integer.
-2
Let c = 0.145 - 0.053. Round c to 2 decimal places.
0.09
Let b = 27164275 + -27164286.999993. Let k = b - -12. What is k rounded to 6 dps?
0.000007
Suppose 5*r = 53651647 - 651647. What is r rounded to the nearest one million?
11000000
Let v = -16.8 - -11.5. Let n = -11.6 - v. What is n rounded to the nearest integer?
-6
Let z = -41.7 + 0.7. Let q = z - -37.6. Let o = q - -4.35. Round o to 1 dp.
1
Let h = 4 - -1. Suppose -2*v + 10400 = 2*w, -h*v = -v. Round w to the nearest one thousand.
5000
Let k = 62 - 61.9999898. Round k to six dps.
0.00001
Let h = 48.7779 - 0.0779. Let d = 60.42 - h. Let b = 12 - d. What is b rounded to one dp?
0.3
Let x = -113 - -178.2. Round x to the nearest 10.
70
Let n = -59.0006 + 59. Round n to 3 dps.
-0.001
Let t(k) = 4*k - 3*k - 1 - 1. Let g be t(4). Suppose -g*c = c + 1770000. Round c to the nearest 100000.
-600000
Let p = 3.3 - 0.4. Let g = -1852.142 - -1855. Let d = g - p. Round d to 2 decimal places.
-0.04
Let k = 11567 + 32433. What is k rounded to the nearest ten thousand?
40000
Let l = -958210 + 958249.00019. Let r = -59 + 98. Let s = l - r. Round s to 4 dps.
0.0002
Let y = 8.69602 - 8.7. Round y to three decimal places.
-0.004
Let f = -0.047 + -0.056. Round f to 1 decimal place.
-0.1
Let a = 30170.085 - 30309. Let c = a - 0.085. Let v = c - -139.67. Round v to one dp.
0.7
Let m = -1.39 + -0.11. Let w = m + 1.50000006. Round w to 7 dps.
0.0000001
Suppose 0*w = -3*h + 5*w + 6290, -4*w - 8376 = -4*h. Round h to the nearest 100.
2100
Let j = 2.1200172 + -2.12. What is j rounded to five decimal places?
0.00002
Let r = 43 + -45.44. Round r to 1 dp.
-2.4
Let l = -47.00000054 - -47. Round l to 7 decimal places.
-0.0000005
Let j = -200.99867 - -201. Round j to 4 decimal places.
0.0013
Let p = -0.21 + 0.3. Let l = 0.032 - p. Round l to two dps.
-0.06
Let t = 15 + -10. Suppose -2*p - t = 1. Let x(k) = 9*k + 4. Let u be x(p). What is u rounded to the nearest ten?
-20
Let r = -1.28 - -1.2799968. What is r rounded to 6 decimal places?
-0.000003
Let z(r) = -5001*r + 2. Let n = -2 + 7. Suppose -8 - 2 = -n*k. Let o be z(k). What is o rounded to the nearest 100000?
0
Suppose -4*x - a = 23, -2*a = -0*x + 2*x + 10. Let o be 387/6 - 3/x. Let i = 111 - o. What is i rounded to the nearest 10?
50
Let b = -13635 - -20645. Round b to the nearest one thousand.
7000
Let u = 0.73 - 0.7300032. What is u rounded to six decimal places?
-0.000003
Let s be 13/((-325)/10) - (-27300004)/10. What is s rounded to the nearest 100
|
{
"pile_set_name": "DM Mathematics"
}
|
-13695. Give g*h(m) - 47*o(m).
-47*m
Let n(x) = 891 + 886 + 8*x - 13*x**3 + 17*x**3 - 1782 + 8*x**2 - 67*x**3. Let y(m) = 42*m**3 - 5*m**2 - 5*m + 3. Give -5*n(s) - 8*y(s).
-21*s**3 + 1
Let j(b) = -23*b**3 + 7*b**2 - 11. Let x(c) = -8*c**3 + 2*c**2 - 4. Suppose k - 5*n + 28 = 49, 5*k = n - 15. What is k*j(h) + 11*x(h)?
4*h**3 - 6*h**2
Let l(u) = 112*u - 83. Let t(c) = -33*c + 28. Give -2*l(b) - 7*t(b).
7*b - 30
Let h(t) = -t**3 - t**2 - t - 1. Let j(s) = -4*s**3 - 188*s - 2 - 188*s - 3*s**2 + 556*s - 184*s. Give 6*h(o) - 2*j(o).
2*o**3 + 2*o - 2
Let i(j) = 2*j**2 - 16*j - 17. Let c be i(9). Let s(w) = w**2 + 0*w**2 + 3 + c - 16*w + 7*w. Let y be s(9). Let n(k) = -1. Let d(q) = q - 2. Give y*n(v) - d(v).
-v - 2
Let a(x) = 95*x. Let r(v) = -666*v - 1. Calculate -15*a(y) - 2*r(y).
-93*y + 2
Let n(o) = -33*o**2 + 29*o + 2. Let j(b) = 17*b**2 - 14*b - 1. What is 9*j(m) + 4*n(m)?
21*m**2 - 10*m - 1
Let l(x) = -2*x**3 - 57*x**2 + 32*x + 91. Let j be l(-29). Let z(d) = -4 + 2*d**2 - 2*d**2 + 3*d**2. Let m(v) = 6*v**2 - 7. Determine j*m(y) - 7*z(y).
3*y**2
Let p(n) be the second derivative of n**4/12 - n**3/6 + n. Let l be (4*1)/(-24*34/(-408)). Let j(g) = -4*g**2 + 3*g - 2. Determine l*p(m) + j(m).
-2*m**2 + m - 2
Let i(p) be the first derivative of -p**2/2 - 2*p + 179. Let q(y) = -2*y - 5. Let m = 19 + -13. Determine m*q(r) - 14*i(r).
2*r - 2
Let l(z) = 2386*z - 1. Let f(b) = 9524*b - 4. Give 3*f(q) - 11*l(q).
2326*q - 1
Let z(i) = -777*i**2 + 147*i - 147. Let a(n) = 244 - 730 - 32*n**2 + 241 + 4*n + 11*n**2 + 241. Determine -147*a(r) + 4*z(r).
-21*r**2
Let c(d) = 999*d**3 + 4*d**2 + 8*d - 2. Let p(l) = 642356*l**3 + 2574*l**2 + 5148*l - 1287. Determine 2574*c(n) - 4*p(n).
2002*n**3
Let g = -6642 + 6639. Let w(f) = -15*f**2 + 11*f - 7. Let p(o) = -8*o**2 + 6*o - 4. Determine g*w(q) + 5*p(q).
5*q**2 - 3*q + 1
Let a(q) = -q. Let x(d) = 2411*d - 1. Determine -a(f) - x(f).
-2410*f + 1
Let g(m) = -21*m - 7. Let u(b) = -b**3 + 25*b**2 - 94*b - 126. Let d be u(20). Let o(i) = 21*i + 6. What is d*o(w) - 5*g(w)?
-21*w - 1
Let v(q) = -q**2 + q + 1. Let w = 49 - 39. Suppose 3*u - 8*u = -w. Suppose 0 = 2*p - p - u. Let a(t) = -t**3 - 7*t**2 + 6*t + 6. Determine p*a(b) - 14*v(b).
-2*b**3 - 2*b - 2
Let t(o) = -o**3 - 1. Let w(n) = n**3 - n**2 + 5. Let p be (-4)/(-6) + (-2800)/(-840). Determine p*t(z) + w(z).
-3*z**3 - z**2 + 1
Let d(u) = u**2 - u - 1. Let s(w) = -2*w**3 - 4*w**2 + 21*w + 3. Calculate 4*d(k) + s(k).
-2*k**3 + 17*k - 1
Suppose -6*o + 3*o = 2*r - 377, 3*o - 371 = -5*r. Let d = o - 132. Let u(w) = 2*w + 12. Let s(a) = -3*a - 18. What is d*s(m) - 7*u(m)?
m + 6
Let y(j) = -10*j + 4. Let b(c) = c - 1. Let u be (265/530)/((14/(-24))/(-7)). Determine u*b(g) + y(g).
-4*g - 2
Let z(m) = 42*m**2 - 7*m + 7. Let n be 20/((-240)/(-18))*28/(-6). Let q(a) = -21*a**2 + 3*a - 3. Determine n*q(c) - 3*z(c).
21*c**2
Let k(b) = -4*b**2 + 65*b. Let y = 2785 - 2776. Let a(l) = l**2 - 16*l. Calculate y*a(x) + 2*k(x).
x**2 - 14*x
Let u(k) = -k**2 - 24*k + 7. Let a(z) = 2*z**2 + 35*z - 13. What is -5*a(t) - 8*u(t)?
-2*t**2 + 17*t + 9
Let a(o) = 87*o - 20. Let q(j) = 170*j - 42. Determine 5*a(l) - 3*q(l).
-75*l + 26
Let s(m) = 4*m + 3. Let v(p) = -p + 9 + 8*p + 4*p. Let c be 12/(-11)*(46 - (-13920)/(-261)). What is c*s(d) - 3*v(d)?
-d - 3
Let t(w) = 4*w + 3. Let l(m) = 7*m + 5. Let u(b) = -3*l(b) + 5*t(b). Let g(a) = -37052*a + 74120*a - 37067*a - 1. Determine -g(z) - 3*u(z).
2*z + 1
Let d(q) = 33*q + 85. Let x(c) = 32*c + 78. Give -2*d(g) + 3*x(g).
30*g + 64
Let w(u) = 17*u**3 + 6*u**2 + 75*u - 24. Let d(a) = -a**2 - a + 4. What is 6*d(g) + w(g)?
17*g**3 + 69*g
Let h(a) = 16*a**3 - 26*a + 11. Let c(w) = -3*w**3 + 5*w - 2. Let n(d) = 2*d**2 + 16*d + 103. Let f be n(-9). Suppose 33*p = 22*p - f. What is p*c(s) - 2*h(s)?
s**3 - 3*s
Let v(n) = -16*n + 4. Let s(l) = 66*l - 19. Let g(k) = 2*s(k) + 9*v(k). Let q(t) = -1. Let j(c) = 60*c + 5. Let h(w) = j(w) - 6*q(w). Give 11*g(r) + 2*h(r).
-12*r
Let g(r) = r. Let m(b) = 15*b + 3. Suppose -28*n - 24*n + 53*n + 1 = 0. Calculate n*m(k) + 5*g(k).
-10*k - 3
Let k(n) be the third derivative of -n**2 + 1/6*n**4 - 48 + 0*n - 2/3*n**3. Let g(v) = 3*v - 3. Calculate -3*g(s) + 2*k(s).
-s + 1
Let w(f) = 18 - 10 - 2 + 3 + 6*f. Let a(x) = -16 + 2*x + 6 + 13. Calculate -11*a(r) + 4*w(r).
2*r + 3
Let v(c) = -1356*c**3 + 16*c**2 + 8*c - 8. Let a(t) = -903*t**3 + 10*t**2 + 5*t - 5. Calculate 8*a(p) - 5*v(p).
-444*p**3
Let s(v) = 15*v**3 - 866*v**2 + 2*v + 2. Let a(x) = -31*x**3 + 1730*x**2 - 5*x - 5. Calculate -2*a(r) - 5*s(r).
-13*r**3 + 870*r**2
Let u(f) = 2746*f**3 - 3*f**2 + 3*f + 3. Let j(n) = -8236*n**3 + 8*n**2 - 8*n - 8. What is -3*j(h) - 8*u(h)?
2740*h**3
Let q(z) = -15*z**2 + 2*z - 2. Let p(g) = -5 - 12*g - 11*g - 29*g**2 - 11*g - 12*g + 51*g. Determine -2*p(o) + 5*q(o).
-17*o**2
Let l(c) = 68*c - 28. Let v(q) = -87*q + 28. Give -5*l(m) - 4*v(m).
8*m + 28
Let m(q) = 2*q**2 + 5*q - 2. Let a(b) = 4 - 1 + 1 + 49*b**2 - 9*b - 111*b**2 + 59*b**2. Determine -3*a(v) - 5*m(v).
-v**2 + 2*v - 2
Let k(j) = -26*j**3 + 63*j + 6. Let f(g) = -g**3 - g + 2. Give 3*f(w) - k(w).
23*w**3 - 66*w
Let y(o) be the first derivative of -13*o**2/2 - 11*o - 168. Let n(s) = 9*s + 7. What is 8*n(d) + 5*y(d)?
7*d + 1
Let z(q) = 8*q**3 - q + 4. Let n(w) = -7*w**3 + w**2 + 2*w - 3. Let r(j) = -4*n(j) - 3*z(j). Let o(l) = -5*l**3 + 5*l**2 + 6*l. What is 2*o(c) + 3*r(c)?
2*c**3 - 2*c**2 - 3*c
Let u(g) = 2*g**2 + 80*g. Let o(v) = -5*v**2 - 199*v - 1. Give 5*o(f) + 12*u(f).
-f**2 - 35*f - 5
Let b(d) = -d - 13. Let j(l) = 53*l - 104. Determine 6*b(p) - j(p).
-59*p + 26
Let i(f) = 606*f + 3. Let n(z) = 202*z + 1. Give -6*i(l) + 19*n(l).
202*l + 1
Let w(c) = -3*c**3 + c + 2. Let p(z) = 22*z**3 - 200*z**2 - 6*z - 12. What is -p(l) - 6*w(l)?
-4*l**3 + 200*l**2
Let i(x) = -107*x + 4. Let z(g) = 1. Give -i(m) + 6*z(m).
107*m + 2
Let x be (-1 - -78)*(0/(-6) - -10). Suppose x*d - 772*d = -8. Let q(g) = g**3 + 4*g**2 - 3*g. Let j(o) = o**3 + o**2 - o. Give d*j(l) - q(l).
3*l**3 - l
Let x(o) = 8*o**3 - 66*o**2 + 11*o. Let n(t) = -9*t**3 + 129*t**2 - 11*t. Calculate -2*n(z) - 3*x(z).
-6*z**3 - 60*z**2 - 11*z
Let q(y) = -3*y + 4. Let i = 57 - 129. Let c = -73 - i. Let h(u) = -u. Calculate c*q(m) + 4*h(m).
-m - 4
Let x = 130 - 30. Let m = x + -98. Let a(j) = -2*j + 1 - m - 5 + 5 + j**2. Let g(r) = -r**2 + r. What is -a(h) - 3*g(h)?
2*h**2 - h + 1
Let o(v) = 14*v**3 - 8*v**2 + 8*v + 17. Suppose 0 = -3*s - 3*l + 15 - 33, 4*s + 38 = 3*l. Let x(g) = 5*g**3 - 3*g**2 + 3*g + 6. Determine s*x(u) + 3*o(u).
2*u**3 + 3
Let y(j) = 6*j**2 + 507. Let n(h) = -7*h**2 - 506. Determine 4*n(f) + 5*y(f).
2*f**2 + 511
Let r(k) = -3*k**3 - k**2 + 7. Let t = 33 - 47. Let z be 52/14 + (-4)/t. Let y(s) = 4 - 4*s**3 + z - 158*s + 158*s - s**2. Determine 6*r(q) - 5*y(q).
2*q**3 - q**2 + 2
Let o(j) = -j**2 - j + 1. Let b(x) = 49*x**2 - 13*x - 3. Determine -b(a) - 2*o(a).
-47*a**2 + 15*a + 1
Let k(u) = 272*u - 13*u**2 + 4 + 1 - 2 - 266*u + 3. Let l(p) = 26*p**2 - 13*p - 13. Suppose 3*v + 2*v + 10 = 0, -2*q - 5*v - 36 = 0. Determine q*k(b) - 6*l(b).
13*b**2
Let g(s) be the second derivative of 5*s**3/6 - 3*s**2 + s. Suppose -2*r = 2*r + 24. Let y(p) = -241 + 734 - 248 - 240 - 4*p. Determine r*y(z) - 5*g(z).
-z
Let b(q) = 204*q + 2. Let x(k) = 621*k + 8. Calculate 7*b(z) - 2*x(z).
186*z - 2
Let o(v) = -7*v - 1. Let c be o(-1). Let w(z) = -z + 11. Let q be w(0). Let i(s) = -30*s - 1 + 26*s - 13*s + 16. Let j(t) = 9*t - 8. Determine c*i(u) + q*j(u).
-3*u + 2
Let w(r) = 29*r**3 - 21*r**2 - 49*r - 26. Let s(x) = -5*x**3 + 4*x**2 + 9*x + 5. Calculate -11*s(z) - 2*w(z).
-3*z**3 - 2*z**2 - z - 3
Let g(v) be the third derivative of -5*v**4/24 - 7*v**3/6 + 5*v**2 - 2*v - 854. Let t(m) = -6*m - 7. What is 4*g(a) - 3*t(a)?
-2*a - 7
Let q be 20/6 - ((-30)/165 - 32/66). Let b(p) = p**2 + 3*p - 2. Let z be (-6)/8*(3 - 7). Let u(n) = -n**2 - 2*n + 2. Give q*u(k) + z*b(k).
-k**2 + k + 2
Let b(x) = 1906597*x + 67760. Let s(d) = 844*d + 30. Determine -3*b(n) + 6776*s(n).
-847*n
Let a(f) = -209*f + 14. Let s(q) = -192*q + 15. Determine 5*a(m) - 6*s(m).
107*m - 20
Let d(m) = 32 - 70 + 38 - 1. Let j(q) = 4*q - 24. What is -24*d(o) + j(o)?
4*o
Let y(g) = 7*g**3 - 25*g**2 + 11*g + 4. Let u = 33718 - 33712. Let b(o) = 2*o**3 - 6*o**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
9, what is -4141 - 78?
-4230
In base 8, what is 240046 + 124?
240172
In base 11, what is -1064 - -7?
-1058
In base 10, what is 2911676 - -5?
2911681
In base 3, what is 210 + -1121101?
-1120121
In base 11, what is -7936 - a3?
-7a29
In base 5, what is 1033323 - 33?
1033240
In base 15, what is 28 - 12c4?
-129b
In base 3, what is 2 + 1011210212000?
1011210212002
In base 16, what is -d5 - -2f5?
220
In base 12, what is -4b - 4354?
-43a3
In base 9, what is -2562623 - 2?
-2562625
In base 6, what is -114224 + -22?
-114250
In base 10, what is -76 - 521?
-597
In base 10, what is 22751 + 2?
22753
In base 13, what is 4336a + 4?
43371
In base 13, what is 65b - -19?
677
In base 8, what is 3 - -253576?
253601
In base 7, what is -22450 + 53?
-22364
In base 5, what is 2420 + 10?
2430
In base 15, what is 1 - 134a?
-1349
In base 14, what is 3a52 - -6?
3a58
In base 5, what is 20 + 1433?
2003
In base 15, what is -4 - -316e?
316a
In base 10, what is 274 + 9794?
10068
In base 12, what is -11b1 + 6?
-11a7
In base 15, what is -54080 - -6?
-54079
In base 9, what is -5488 + 500?
-4888
In base 10, what is 11256 + -2?
11254
In base 6, what is 5 + 525021?
525030
In base 14, what is 5a56d - 2?
5a56b
In base 11, what is 158269 + 4?
158272
In base 5, what is 343 + -213?
130
In base 10, what is -2919 - 33?
-2952
In base 13, what is -3 + 7474c?
74749
In base 13, what is 0 - -28aba?
28aba
In base 3, what is -1102 + 12121110?
12120001
In base 12, what is -18960 - 5a?
-189ba
In base 3, what is -2110001212 + 111?
-2110001101
In base 7, what is 1366033 - 3?
1366030
In base 10, what is 193 - -673?
866
In base 4, what is 10 + -3013001?
-3012331
In base 13, what is 1 - -151bc6?
151bc7
In base 16, what is 4 + 7dcf?
7dd3
In base 15, what is 1 - ca04?
-ca03
In base 15, what is -309a7 + -5?
-309ac
In base 5, what is 3 + -213210121?
-213210113
In base 16, what is 2 - -151a9?
151ab
In base 9, what is -78 + -65473?
-65562
In base 11, what is -1232 + 76?
-1167
In base 5, what is -3324 - -123?
-3201
In base 7, what is -365 + -641?
-1336
In base 5, what is -1 + 13442144?
13442143
In base 4, what is -132 + -22?
-220
In base 8, what is -713534 + -1?
-713535
In base 10, what is 2 + 198340?
198342
In base 6, what is -41410 + 0?
-41410
In base 7, what is 230 - 3624?
-3364
In base 7, what is -3256 - 3344?
-6633
In base 5, what is -433 - 1134?
-2122
In base 11, what is -427 - 72?
-499
In base 13, what is -772c - -9?
-7723
In base 14, what is -12 + -81d62?
-81d74
In base 2, what is -1110011000101011011 + 11?
-1110011000101011000
In base 15, what is 5526 + -19?
550c
In base 3, what is -1212022210 + -22?
-1212100002
In base 16, what is 1096 + f?
10a5
In base 6, what is -145 - -253341?
253152
In base 7, what is -3123 - -26?
-3064
In base 12, what is -451 - a59?
-12aa
In base 10, what is -2707 - 70?
-2777
In base 2, what is -11101 - -1001011111111?
1001011100010
In base 12, what is -10b - -2297?
2188
In base 9, what is -8 - -58207?
58188
In base 16, what is -18 - 2a1?
-2b9
In base 3, what is 10 - 10110202221?
-10110202211
In base 14, what is c + -16d9?
-16cb
In base 12, what is 6 - 147a?
-1474
In base 3, what is -2 + -101200102101?
-101200102110
In base 11, what is 3058 - -88a?
3937
In base 13, what is b8 - -27a?
365
In base 3, what is 121 + -1100100?
-1022202
In base 16, what is -7 + bbec?
bbe5
In base 4, what is 0 + 2200020?
2200020
In base 2, what is 1010001 + -10101010110?
-10100000101
In base 8, what is 564312 + 14?
564326
In base 13, what is -1845 - -10c?
-1736
In base 14, what is -bba + 3?
-bb7
In base 10, what is 2 - 14940?
-14938
In base 4, what is -22 + -1202230?
-1202312
In base 12, what is -14 + 163b?
1627
In base 2, what is 10011011101 + 100001?
10011111110
In base 8, what is -233 - 427?
-662
In base 3, what is 202012210 - -21201?
202111111
In base 9, what is 22 - -6853?
6875
In base 13, what is -5 + a30c9?
a30c4
In base 3, what is -1001001200 - 1?
-1001001201
In base 13, what is 6c385 + 1?
6c386
In base 7, what is 54253 - -12?
54265
In base 13, what is -111314 - -8?
-111309
In base 5, what is -202414 - -434?
-201430
In base 13, what is 3 + 18a5b9?
18a5bc
In base 14, what is -b + -d01?
-d0c
In base 9, what is 0 - 735086?
-735086
In base 5, what is 13 + -11110?
-11042
In base 3, what is 102111 + -2021020?
-1211202
In base 11, what is 480a - -2a?
4839
In base 2, what is 100 + -1000110001011110?
-1000110001011010
In base 11, what is 1a401 - 2?
1a3aa
In base 14, what is 8819 + 50?
8869
In base 4, what is -1323310322 + 1?
-1323310321
In base 13, what is -5 - 2a255?
-2a25a
In base 4, what is -11020 - 3302?
-20322
In base 14, what is -949 + 96?
-893
In base 2, what is 100 + -1100101110001?
-1100101101101
In base 14, what is -ca7 - 29?
-cd2
In base 13, what is -60 + -3c22?
-3c82
In base 11, what is -5156 + 21?
-5135
In base 14, what is cd7a + 0?
cd7a
In base 10, what is -1746975 - 3?
-1746978
In base 16, what is -5 + -38b1?
-38b6
In base 9, what is 154608 - 1?
154607
In base 10, what is 1223266 - -5?
1223271
In base 11, what is 168 - 803?
-646
In base 6, what is -3504103 + 31?
-3504032
In base 14, what is -6bc65 + -3?
-6bc68
In base 14, what is -823 + -c?
-831
In base 11, what is 17 + -642?
-626
In base 6, what is 14405 - -111?
14520
In base 9, what is -232 - 12?
-244
In base 10, what is 1510 + -997?
513
In base 6, what is -330145 - -3?
-330142
In base 16, what is 7 + 1016?
101d
In base 5, what is 3 - 40430?
-40422
In base 11, what is -105 + -1809?
-1913
In base 15, what is -1 - 38e60?
-38e61
In base 9, what is -217 - -105?
-112
In base 11, what is 5 + 144666?
144670
In base 4, what is -1032300 - -11?
-1032223
In base 9, what is -146846 - 2?
-146848
In base 14, what is 8b - -137?
1c4
In base 16, what is 114f - -2?
1151
In base 14, what is 13c + 5d5?
733
In base 16, what is 1fbf - 2?
1fbd
In base 8, what is -24770 - 201?
-25171
In base 4, what is 112103012 + -22?
112102330
In base 9, what is 245383 - 5?
245377
In base 4, what is -111001 + -32?
-111033
In base 15, what is -3 - -3a4?
3a1
In base 14, what is -6c1 - -16?
-6a9
In base 7, what is -23663 + -11?
-24004
In base 11, what is 274a14 + -4?
274a10
In base 15, what is -15 + -86?
-9b
In base 5, what is 1402141 - 10?
1402131
In base 4, what is 0 - -101133302?
101133302
In base 8, what is -22741327 + 1?
-22741326
In base 13, what is -1c595 + 6?
-1c58c
In base 7, what is 2 + -11255?
-11253
In base 8, what is 15773 + 333?
16326
In base 11, what is -615 - -a2?
-523
In base 9, what is 475 - -2333?
2818
In base 10, what is -48075 + 3?
-48072
In base 2, what is 0 - 110111110111001?
-110111110111001
In base 7, what is -3320312 + -5?
-3320320
In base 8, what is 4 + -1201531?
-1201525
In base 5, what is 2421 - -4414?
12340
In base 2, what is -10011 - 1110010011?
-1110100110
In base 14, what is -532 - 1c?
-550
In base 5, what is 12 - 1424100?
-1424033
In base 14, what is -3 + 5500?
54db
In base 8, what is 3 - 27024?
-27021
In base 6, what is -13 - 4204520?
-4204533
In base 14, what is 17 + -1dc8?
-1db1
In base 5, what is -3 - -11314310?
11314302
In base 9, what is 288243 - 0?
288243
In base 5, what is -1 - 33221?
-33222
In base 5, what is 11 - 302210?
-302144
In base 12, what is 1673 + 2?
1675
In base 9, what is -1 - -14451?
14450
In base 12, what is 981 - 57?
926
In base 16, what is -2 + 477?
475
In base 3, what is 1110120 - 21221?
1011122
In base 16, what is 1dd + -560?
-383
In base 10, what is 215898 + -4?
215894
In base 5, what is 1321003 + 11?
1321014
In base 5, what is -3 + -340312?
-340320
In base 3, what is -11 + -21210102122?
-21210102210
In base 5, what is -10 - -1322314?
1322304
In base 16, what is 5 - 8614?
-860f
In base 8, what is -34 - -43625?
43571
In base 10, what is 6 - -91853?
91859
In base 15, what is a5b27 + 6?
a5b2d
In base 2, what is -10001 + -1110100100001?
-1110100110010
In base 11, what is -33931 + 6?
-33926
In base 13, what is -9b - -610?
542
In base 6, what is -101235402 - 4?
-101235410
In base 8, what is -10 + 50061?
50051
In base 7, what is -1 + -1155162?
-1155163
In base 13, what is -8 - 1416?
-1421
In base 7, what is -3035 + 23?
-3012
In base 11, what is 40 - -72593?
72623
In base 2, what is 1101100101001110 - -10?
1101100101010000
In base 3, what is -2112201121 + 0?
-2112201121
In base 4, what is 2 + 12313210133?
12313210201
In
|
{
"pile_set_name": "DM Mathematics"
}
|
g for s.
4
Let r(x) = x**2 - 37*x + 104. Let o be r(34). Let c = 91 - 86. Solve -l = -c*m - 16, -o*l + 4 = -4*m + l for m.
-4
Let d = -2809 - -2811. Solve -t = -3*r + d*t - 12, 4*t = 2*r + 10 for r.
-3
Suppose -o - 2 + 10 = 0. Suppose 30*d = 34*d - o. Suppose 7*b - 5*b - d*f - 12 = 0, -4*f = 4*b - 8. Solve 0 = -4*q - 4*v - 4, -2*q - 7 = -b*v + 13 for q.
-4
Suppose 3*y = 2*l + 10, -10*y + 2*l = -15*y + 22. Solve 4*a = -2*r - 7 + 11, a = -y*r - 13 for r.
-4
Suppose -4*l = -l - 15. Suppose 4*x + 2*o + o - 23 = 0, 0 = 5*x - l*o + 15. Suppose -35*f - 594 = -89*f. Solve 10 = 5*p, f = 3*m + x*p - 8 for m.
5
Let t = -7895 - -7902. Solve a + 2*s - t = 0, -2*a + 5*s + 27 - 22 = 0 for a.
5
Let y = -639 + 655. Solve g - 15*w + 12*w - 7 = 0, -5*g - y = 2*w for g.
-2
Let a = 1972 - 1970. Suppose 4*u + 5*t = -3, 3*u + 4*t = -u. Let c(o) = o**3 - 2*o**2 - 2*o - 1. Let v be c(u). Solve -5*m + v*k + 7 = -a*k, 5*m = k - 2 for m.
-1
Suppose -146*b - 58*b + 1428 = 0. Solve -40*p + 2 = -38*p + 4*k, -3*p - k - b = 0 for p.
-3
Let f be 30/20 - (-9)/(-6). Suppose 7*b - 9*b = 4*a - 16, f = -3*b + a + 10. Solve -4*u = b*s - 24, 2*u = -5*s + 4*s + 8 for u.
2
Suppose -z - 5 = -2*z. Suppose 1341 = m - p, -p - 3031 + 351 = -2*m. Let h = m + -1318. Solve -z*l + 3*l + 5 = -5*b, 2*b = -3*l - h for b.
-3
Suppose -16414*l = -16459*l + 97 + 38. Solve -5 = -9*t + 14*t + 5*y, 3*t + 3 = l*y for t.
-1
Let s = 65 + -55. Suppose 3*w - s = -o, 5*o + 0*o + w = 36. Suppose -o*d - 20 = -48. Solve 3*t - 3*f - 6 = -3, d*f + 8 = 3*t for t.
-4
Let b = -4007 + 4011. Solve -24 = -4*g - 2*u, 4*g - b*u = -4 + 28 for g.
6
Let i = 51 - 40. Suppose -2*x = -i + 1, -2*g = -5*x + 21. Suppose 0 = 18*z - 21*z + 6. Solve -z*o - 4*v = g, -4 = 4*o - 3*v + 7*v for o.
-1
Let s be 0*(-9 - (-342)/36). Solve z + 1 = 3*c, 5*c + z + s*z = 15 for c.
2
Let z be (3 + -2)*(2 + 6). Suppose h + 87 = 5*j - 2*h, 0 = -2*h - 8. Let l = -6 - -11. Solve 4*q + z = 4*f + 36, -5*q - l*f = j for q.
2
Let t(a) = -a**2 - 11*a - 16. Let z be t(-8). Solve -3*b + 5*v = -z - 7, -5*b + 25 = 4*v for b.
5
Suppose 0 = j + 2*z + 1, -175*z + 170*z + 5 = 5*j. Let k(b) = -b. Let x be k(-3). Solve -g - x*p - 16 = 0, p = 4*g - j*g - 4 for g.
-1
Suppose 2*v = -15*v + 51. Suppose -9*k + 13*k + 6 = d, 0 = v*d + 2*k - 4. Let x = 20 - 15. Solve -x*i = -0*g - 5*g + 35, d*i - 3*g = -19 for i.
-2
Let j be (3 - 3)/2*1 - -1. Let o = 6 - 1. Let h = o + -3. Solve h*q + j = p, -4 = 2*p + q + 4 for p.
-3
Let k be 240/10 - 7 - (6 + 2). Solve -4*z + k*i = 11*i + 2, 3*z = 3*i - 15 for z.
-2
Let f(h) be the second derivative of -h**4/2 + 25*h**3/3 - 8*h**2 + 96*h. Let y be f(8). Solve y = -4*l - 4*s + 12 - 28, -10 = 2*l + 4*s for l.
-3
Let o = 3 - 0. Suppose -27*j + 863 = -2107. Let l = j - 108. Solve -o*k - 3*y + 3 = -l*y, 4*y + 3 = 3*k for k.
1
Let k be 8*9/36 - (-1 + -4). Suppose -o - k - 1 = -3*b, o - 8 = -5*b. Let c = -18 + 38. Solve b*m - 2*i - 18 = -3*m, 2*m - 4*i = c for m.
2
Let b(t) = 2*t**3 + 4*t**2 - 10*t + 12. Let g be b(2). Suppose g = -169*u + 175*u. Solve -18 = 2*l - l - 5*y, 4*l - y = u for l.
2
Let o(g) = -100*g - 2360. Let l be o(-24). Solve -3*k = -6*k - 2*s + 7, 5*s + l = 4*k for k.
5
Suppose -48*w + 6 = 6. Suppose w = 5*u - 114 + 94. Let f be (-15)/(-9) + (-2)/(-6). Solve f*g + 6 = 2*o, 0 = 3*g + 2*g + u*o + 24 for g.
-4
Let t(z) = -1912*z + 5739. Let v be t(3). Solve -9 - 2 = v*x - 2*n, -4*x - 3 = -5*n for x.
-7
Let l be 780/(-104)*8/(-6). Solve 5*c = -k + 3*k - l, 0 = -3*c - k + 5 for c.
0
Suppose 3562 = -19*v - 7*v. Let f = v + 141. Solve f*x + 10 = -4*z - 14, -2*z - 3*x - 16 = 0 for z.
-2
Suppose 133*j = -141*j + 257*j + 102. Solve 5*n - 13 = -3*p, n + 9*p = j*p + 5 for n.
2
Suppose 176 = 14*n + 8*n. Suppose 0 = n*p - 40. Solve -p*j = 2*w + 3*w, -3*w - 7 = -4*j for w.
-1
Suppose 80*b = h + 82*b - 6, -2*b - 18 = -5*h. Let k be 1/(2/12*-1). Let c be (2 - h)*k/3. Solve -5*z - 3*s = 2, -c*s + 1 = 4*z + s for z.
-1
Let d be ((-117)/780)/(7 - (-705)/(-100)). Solve g = 6, 0*g = -i + d*g - 13 for i.
5
Let r(f) = 21*f + 128. Let l be r(-6). Let x be 6 + 2 - l - 2. Solve -2*w - 4*p - x = -0*w, 2*w - p - 11 = 0 for w.
4
Let l be -2 - ((-5)/2 + (-846)/188). Solve 45*r + 4 = 47*r + 5*g, r = -l*g + 7 for r.
-3
Let j(r) = -2*r**3 + 25*r**2 + 13*r. Let v be j(13). Suppose -u = -2, 13*t - 16*t - 2*u + 4 = v. Solve -4*d = -3*i - 10 - 7, -3*i + d - 11 = t for i.
-3
Suppose 63*x - 445 = -130. Solve 3*l = -5*p - 11, x*l + 4*p - 6*p = 23 for l.
3
Suppose w + 46 = -2. Let j be (-42)/(-9) - 16/w. Solve 2 - 8 = 2*l, -g = -j*l - 12 for g.
-3
Let s = 28714 + -28703. Solve 15 = h - 5*q + s, 4 = h - 2*q for h.
4
Let w be (-1854)/(-270) + (-2)/(-15). Let j be 0 + w/2 + 65/(-130). Solve 5*a - 4*f + 1 = 0, j*f - 2*f = 4*a - 8 for a.
3
Let t be 8*2/6*30. Suppose -77*s = -t*s + 81. Suppose 6*n = s - 3. Solve 4*k + 2 = 2*y + 2*k, 0 = 2*y + n*k - 8 for y.
2
Suppose -2*q - 6 = a, -4*q - 15 = -3*a + q. Let w = 278 + -273. Solve -20 = 5*p + 5*i, a = -i + w*i + 12 for p.
-1
Suppose 3*h - 4 = n - 27, 2*h - 38 = -2*n. Suppose -w + 2 = 2*g - 3*w, 4*g - n = -4*w. Solve 0*l + 12 = -g*l + 3*y, 10 = 5*y for l.
-2
Suppose -24*f + 64 + 32 = 0. Solve -5*h + f*s + 25 = 0, -4*s - 62 + 39 = -3*h for h.
1
Let s(q) = q. Let o(n) = 5*n - 11. Suppose 7*l - 23 = 30*l. Let v(j) = l*o(j) + s(j). Let w be v(1). Solve 0 = 5*c - 2*x - 11, 0 = 5*c - 4*x - w - 10 for c.
1
Let f(y) = 3*y**2 + y**3 + 8*y**2 + 25 - 20*y - 8*y**2 + 6*y**2. Let d be f(-11). Solve 4*v = 3*q - d, 6 = 3*q - 3*v - 2*v for q.
-3
Let n = 6115 - 6113. Solve n*l - 5*k + 24 = 0, -4*l - 4*k = -0*k - 8 for l.
-2
Let f(n) = -13*n - 138. Let w be f(-11). Let l(a) = -a**2 - 35*a + 202. Let i be l(w). Solve -u - u - 2*x + 4 = 0, i*u + 4*x - 2 = 0 for u.
3
Let o(i) = -3*i**2 - 2*i - 7. Let s(d) = -d - 1. Let w(l) = -o(l) + 4*s(l). Let m be w(1). Let z = m - 2. Solve 17 = -3*k + z, -5*k = -5*p + 5 for p.
-4
Suppose -u - 54 = 3*y - 55, -u = -y - 9. Solve 5*d - 3*s = -2*s - 14, -d - 4*s - u = 0 for d.
-3
Let o be 19 + 1/1 + -1. Let l be (4/(-60))/(22/(-330)). Solve r - l = 4, o = -w + 4*r for w.
1
Let z(q) = -q - 6*q + 0 + 1. Let w be z(-1). Suppose -4*l = w - 28. Solve 0*j - 3*j - 5*u + 4 = 0, l*j + 3*u + 4 = 0 for j.
-2
Suppose 7*b - 125 = -104. Suppose 0 = 4*z + 2*j - 14, b*z - 34 = 4*j - 7. Solve -z*r = 15, 5*r + 2 = 2*k - 7 for k.
-3
Let d = 8218 - 8214. Solve 3*q = 4*f - 5, 0 = 3*q - 4*q + d*f - 7 for q.
1
Let z(x) = 5*x**2 + 49*x + 258. Let d be z(-6). Suppose 463 - d = 11*v. Solve v = -5*h + l, 5*h - 3*h + 22 = 3*l for h.
-5
Suppose 2*c - 2 = -2*j, 2*j = -5*c + 19 - 8. Let v be (-14 + 13)/(1/(-3)). Solve c*h + 3*w = -0*h - 24, v*w = -15 for h.
-3
Suppose 8 = 2*h, 4*c - h - 1 - 7 = 0. Solve 3*k = -3*s + 18, 2*s - 3*k + c = -2*k for s.
1
Let d(h) = h**2 + 51*h. Let g be d(-51). Solve 3*w + m + 5 = g, w + 21 = -5*m + 38 for w.
-3
Suppose 4*a + 0*a - 64 = 4*l, 2*l - 5*a + 26 = 0. Let f be -1 - 1 - -2 - 22. Let d = l - f. Solve 4*t - 2*t = -d*k - 26, -k = 5*t + 29 for t.
-5
Suppose 55*m - 3 = 56*m, -2*m + 4 = 2*s. Suppose -s*z + 20 = 3*v - 7*v, 2*z - 2*v = 10. Solve 15 = -3*t - 2*p - 2*p, z = -5*p for t.
-5
Let c(d) = 7 - 9525*d + 9525*d - d**2. Let r be c(-2). Suppose 5*o - 30 = k, -4*o + 3*k - 6 = -5*o. Solve -o*n - 3*m = -3*n + r, -n = 4*m + 13 for n.
3
Suppose 1282*p = 1325*p. Solve -4*l = 4*m + m, -2*m = p for l.
0
Let t(h) = h**3 + 10*h**2 - 14*h + 7. Let c be t(0). Solve -9 = 2*q + 3*u, c*q - 34 = 4*q + 5*u for q.
3
Let m be (-13)/(-52)*-8*1. Let h(f) be the second derivative of f**4/3 + f**3 + f**2/2 - f. Let g be h(m). Solve -g*y = 3*z - 4, -8 = z + 4*z + y for z.
-2
Let b = 77 + -71. Suppose b*g + 0*g = 30. Solve -3*a + 3 = -g*s - 14, 5*s - 7 = -3*a for s.
-1
Let k be -10*(13/65)/((-2)/4). Solve 0 = k*x + 3*c + 1, -3*x - 32 = -0*x - 4*c for x.
-4
Let t(k) = -157*k - 468. Let d be t(-3). Solve n + 4*u - 8 = 0, -u + 6 = -d*n + 2*u for n.
0
Suppose 0 = q - 3*q + 10. Let p = -22 + 39. Suppose -3*d = -4*d - 21*d + 110. Solve -z - q*f = -0*f - p, -d*f + 23 = -z for z.
-3
Let v(y) = -y**2 - 21*y - 108. Let s be v(-9). Suppose s = 4*b + 748 - 804. Solve -6*z + 3*z = -5*q - 10, -3*z + b = -q for q.
1
Let b = 108 + -110. Let d be 105/25 - b/(-10). Solve d*y - 12 = -4*a, -4*a - 4*y = y - 14 for a.
1
Suppose -693 = 9*d - 720. Solve -14
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when 1112 is divided by 36.
32
Calculate the remainder when 1768 is divided by 387.
220
Calculate the remainder when 74 is divided by 61.
13
Calculate the remainder when 7386 is divided by 493.
484
What is the remainder when 131 is divided by 66?
65
What is the remainder when 490 is divided by 41?
39
Calculate the remainder when 5 is divided by 3.
2
Calculate the remainder when 2087 is divided by 173.
11
Calculate the remainder when 3725 is divided by 69.
68
Calculate the remainder when 82 is divided by 57.
25
What is the remainder when 667 is divided by 19?
2
Calculate the remainder when 609 is divided by 68.
65
Calculate the remainder when 1193 is divided by 46.
43
What is the remainder when 3799 is divided by 25?
24
Calculate the remainder when 142 is divided by 31.
18
Calculate the remainder when 446 is divided by 414.
32
What is the remainder when 507 is divided by 85?
82
What is the remainder when 72 is divided by 33?
6
Calculate the remainder when 2833 is divided by 4.
1
What is the remainder when 633 is divided by 168?
129
Calculate the remainder when 245 is divided by 23.
15
Calculate the remainder when 1422 is divided by 15.
12
Calculate the remainder when 203 is divided by 41.
39
Calculate the remainder when 1295 is divided by 108.
107
Calculate the remainder when 1972 is divided by 41.
4
Calculate the remainder when 484 is divided by 470.
14
Calculate the remainder when 76 is divided by 50.
26
What is the remainder when 2041 is divided by 31?
26
What is the remainder when 72 is divided by 14?
2
What is the remainder when 881 is divided by 9?
8
What is the remainder when 180 is divided by 91?
89
Calculate the remainder when 7679 is divided by 160.
159
What is the remainder when 87 is divided by 48?
39
Calculate the remainder when 444 is divided by 427.
17
Calculate the remainder when 5994 is divided by 315.
9
Calculate the remainder when 577 is divided by 172.
61
What is the remainder when 18 is divided by 10?
8
What is the remainder when 3365 is divided by 41?
3
What is the remainder when 799 is divided by 7?
1
What is the remainder when 65 is divided by 18?
11
What is the remainder when 920 is divided by 107?
64
Calculate the remainder when 431 is divided by 8.
7
What is the remainder when 157 is divided by 55?
47
Calculate the remainder when 119 is divided by 28.
7
Calculate the remainder when 63 is divided by 4.
3
Calculate the remainder when 394 is divided by 131.
1
What is the remainder when 307 is divided by 24?
19
Calculate the remainder when 124 is divided by 50.
24
What is the remainder when 103 is divided by 26?
25
Calculate the remainder when 242 is divided by 28.
18
What is the remainder when 43 is divided by 27?
16
What is the remainder when 119 is divided by 100?
19
What is the remainder when 120 is divided by 42?
36
What is the remainder when 89 is divided by 5?
4
Calculate the remainder when 12849 is divided by 42.
39
What is the remainder when 239 is divided by 27?
23
What is the remainder when 145 is divided by 14?
5
What is the remainder when 8535 is divided by 44?
43
What is the remainder when 978 is divided by 49?
47
What is the remainder when 1439 is divided by 34?
11
What is the remainder when 66 is divided by 17?
15
Calculate the remainder when 625 is divided by 20.
5
What is the remainder when 115 is divided by 24?
19
Calculate the remainder when 203 is divided by 44.
27
Calculate the remainder when 129 is divided by 39.
12
Calculate the remainder when 22218 is divided by 27.
24
Calculate the remainder when 81 is divided by 33.
15
Calculate the remainder when 91 is divided by 37.
17
Calculate the remainder when 171 is divided by 90.
81
What is the remainder when 606 is divided by 303?
0
What is the remainder when 138 is divided by 24?
18
What is the remainder when 1263 is divided by 158?
157
Calculate the remainder when 3068 is divided by 9.
8
What is the remainder when 126 is divided by 49?
28
What is the remainder when 956 is divided by 150?
56
Calculate the remainder when 83 is divided by 43.
40
Calculate the remainder when 66 is divided by 51.
15
What is the remainder when 130 is divided by 70?
60
Calculate the remainder when 537 is divided by 18.
15
Calculate the remainder when 27 is divided by 10.
7
Calculate the remainder when 655 is divided by 340.
315
What is the remainder when 1445 is divided by 119?
17
Calculate the remainder when 250 is divided by 57.
22
What is the remainder when 446 is divided by 25?
21
What is the remainder when 1027 is divided by 135?
82
What is the remainder when 184 is divided by 74?
36
Calculate the remainder when 64 is divided by 26.
12
Calculate the remainder when 110 is divided by 19.
15
Calculate the remainder when 1220 is divided by 244.
0
What is the remainder when 228 is divided by 42?
18
What is the remainder when 454 is divided by 35?
34
Calculate the remainder when 159 is divided by 49.
12
What is the remainder when 2889 is divided by 79?
45
Calculate the remainder when 38 is divided by 12.
2
What is the remainder when 108 is divided by 57?
51
What is the remainder when 205 is divided by 30?
25
What is the remainder when 1843 is divided by 168?
163
Calculate the remainder when 2922 is divided by 17.
15
What is the remainder when 1198 is divided by 135?
118
What is the remainder when 752 is divided by 248?
8
Calculate the remainder when 962 is divided by 19.
12
Calculate the remainder when 73 is divided by 27.
19
What is the remainder when 384 is divided by 95?
4
What is the remainder when 354 is divided by 24?
18
What is the remainder when 173 is divided by 87?
86
What is the remainder when 1563 is divided by 92?
91
Calculate the remainder when 675 is divided by 98.
87
What is the remainder when 154 is divided by 27?
19
What is the remainder when 36670 is divided by 169?
166
What is the remainder when 88 is divided by 18?
16
Calculate the remainder when 12391 is divided by 3096.
7
Calculate the remainder when 129 is divided by 6.
3
Calculate the remainder when 409 is divided by 405.
4
What is the remainder when 1500 is divided by 101?
86
What is the remainder when 77 is divided by 58?
19
What is the remainder when 2009 is divided by 168?
161
Calculate the remainder when 14 is divided by 3.
2
What is the remainder when 515 is divided by 110?
75
Calculate the remainder when 1308 is divided by 69.
66
Calculate the remainder when 4188 is divided by 321.
15
What is the remainder when 10580 is divided by 18?
14
What is the remainder when 7481 is divided by 2?
1
Calculate the remainder when 1219 is divided by 135.
4
Calculate the remainder when 269 is divided by 121.
27
Calculate the remainder when 1301 is divided by 219.
206
Calculate the remainder when 2199 is divided by 71.
69
What is the remainder when 504 is divided by 20?
4
Calculate the remainder when 52 is divided by 30.
22
Calculate the remainder when 331 is divided by 37.
35
What is the remainder when 3425 is divided by 1134?
23
Calculate the remainder when 44 is divided by 12.
8
Calculate the remainder when 383 is divided by 334.
49
Calculate the remainder when 29018 is divided by 6.
2
Calculate the remainder when 111 is divided by 25.
11
Calculate the remainder when 621 is divided by 25.
21
What is the remainder when 338 is divided by 100?
38
Calculate the remainder when 798 is divided by 776.
22
What is the remainder when 38373 is divided by 156?
153
What is the remainder when 3479 is divided by 579?
5
Calculate the remainder when 151 is divided by 23.
13
Calculate the remainder when 539 is divided by 63.
35
Calculate the remainder when 642 is divided by 82.
68
What is the remainder when 2745 is divided by 145?
135
What is the remainder when 6337 is divided by 6?
1
Calculate the remainder when 1720 is divided by 46.
18
Calculate the remainder when 113 is divided by 23.
21
Calculate the remainder when 742 is divided by 62.
60
Calculate the remainder when 2913 is divided by 20.
13
Calculate the remainder when 578 is divided by 73.
67
Calculate the remainder when 880 is divided by 49.
47
Calculate the remainder when 294 is divided by 61.
50
What is the remainder when 272 is divided by 90?
2
Calculate the remainder when 453 is divided by 57.
54
Calculate the remainder when 3601 is divided by 68.
|
{
"pile_set_name": "DM Mathematics"
}
|
a) -1 (b) t (c) p
b
Let w = -2843/8502 + 3/2834. What is the nearest to 1 in -2/9, w, -2, 18?
-2/9
Let s = -2 + 1. Let w = -6 - s. Let v be 1332/1110 - (2 + (-8 - -8)). Which is the closest to v? (a) w (b) 2/7 (c) -1/2
c
Let h = 429/4 - 107. Let z be (22/44)/(1/3). Let c = -17/20 - -3/5. What is the nearest to c in h, z, 0.08?
0.08
Let d = 38 + -37.9. Let l = -2.94 + -0.06. Let s be 12 - -3*145/(-35). Which is the nearest to d? (a) l (b) s (c) 9
b
Suppose 4*v - 3*z - 59 = 0, -3*z + 12 = v + 1. Let k = v + -8. Suppose 3*u + k = 21. What is the nearest to 1 in -1/4, u, -1?
-1/4
Suppose -5*i + 22 - 12 = q, 5*q - 2*i - 23 = 0. Which is the closest to 9/4? (a) 1/5 (b) 0 (c) 1/6 (d) q
a
Let s = 23.6 - 6.6. Let y = s - 16. Which is the closest to y? (a) -2 (b) -9 (c) 5
a
Let y = -783/8 - -98. Let w = -9 + 9.69. Let r = 1.09 - w. What is the nearest to y in r, 0.2, 3?
0.2
Suppose 43 + 94 = -76*q - 15. Which is the nearest to -1/4? (a) q (b) -2/17 (c) -1/3 (d) -310
c
Let w = 14.92 - 15.3. Let p be 25/(-18)*2 + 3. Which is the nearest to p? (a) w (b) -1/5 (c) -3/4
b
Let h = -10.861 + 10.561. Which is the nearest to -25? (a) -7 (b) 12 (c) h
a
Let r = -77 - -76.76. Let j = r + -0.06. Which is the nearest to -5? (a) j (b) -1/3 (c) 1
b
Let i = 201 + -202. Let c = 320 - 318. Let j = 4.7 + -5. What is the closest to 2 in i, j, c?
c
Let k = -7.3 - -6.648. Let n = k - -0.352. Which is the nearest to 3? (a) n (b) 0.2 (c) 5
c
Let i = 33 + -33. What is the closest to 2 in i, 1.4, -0.4?
1.4
Let c = 7977 + -247289/31. What is the nearest to 0 in -14/3, 6/7, c, -0.5?
c
Let y = 0.06 - 0.06. Let m be ((-28)/168)/(7/18). Which is the closest to y? (a) -8 (b) m (c) 3
b
Let o = -12470 + 12485. What is the closest to 0.3 in -1, -4/7, o, 1?
1
Let g = -6039/21112 + 1/3016. Which is the nearest to g? (a) -13 (b) -0.5 (c) 5
b
Let w = 13003 + -13003.1. Let h be ((-2)/16)/(2/12). Which is the closest to w? (a) h (b) 4 (c) -2
a
Let p = -15678 - -15674. Which is the closest to -1/2? (a) 1 (b) -0.111 (c) p
b
Let m be 12 - (122/(-25))/(258/(-645)). Let c be -1 - 2/((-36)/14). What is the closest to m in -0.3, 0.5, c, -1/9?
c
Let u(z) = 22*z**2 - 4*z - 4. Let p be u(2). Suppose -p = 16*q + 3*q. What is the nearest to 0.11 in -5, q, 0.1?
0.1
Let k = 6.754 - 36.254. Which is the closest to 1/6? (a) 0.5 (b) -1 (c) k
a
Let t = 10.1 - 9. Let n = -1.4654 - -1.353. Let d = 5.1124 + n. Which is the nearest to t? (a) -1 (b) -3 (c) d
a
Let w = 221 - 65. Let g = -187.5 + w. Let d = g + 32. Which is the closest to 1? (a) d (b) 0 (c) 6/11
c
Let w = -7401 - -7405. Which is the closest to -1/10? (a) -3 (b) 1/6 (c) w (d) 0.2
b
Let z = 69 - 70. Let s be 0/4 + (z - 3). Let n = 12 - 11. Which is the closest to n? (a) -2 (b) s (c) -10
a
Let z = -49 - -48.6. Let n = 4.7 + -0.7. Let f = -8550 + 8549. Which is the closest to f? (a) z (b) n (c) -1
c
Let b = -0.5 + 0.422. Let i = b + -0.072. Let k = -0.65 - i. What is the nearest to 7 in -2/25, k, 4?
4
Let i = -11.4 - -11.7. Let k be -137 + 143 - ((-126)/(-16) + -2). Which is the nearest to i? (a) k (b) -5 (c) 6 (d) 5
a
Let l = -0.13 - -0.07. Let u = -0.46 - l. Let y = -0.150019 - -3.150019. What is the nearest to 0.1 in y, 2/3, u?
u
Let k be (-2)/4*(-274)/685. What is the closest to 0 in 69, -0.1, k, -1/4?
-0.1
Let c be (-2)/(-4) - (-22)/(-28). Suppose o - 8 = -7*o. Let m be (o + 1)*(-1)/6. What is the nearest to c in 5, m, -3?
m
Suppose -7*d + 2288 = -5*d. Let w be (50/d)/((-12)/(-24)). Let y = w + -7/26. What is the nearest to -1 in 4, y, -0.03?
y
Let g = -34287.4 - -34287. Let v = 0.1 + -73.1. What is the nearest to 0.1 in g, 0.3, v?
0.3
Let g be (18 + 7974/(-441))*-7. Let j = -0.3 + 0.3. What is the nearest to j in -13, g, -0.5?
-0.5
Let k = -0.344 - -1.344. Let o be (-39)/(-78) - (2 + -8)/(-3). Let l be 2*((-2)/12)/1. What is the nearest to 2 in k, o, l?
k
Let f = -41254 - -41259. Which is the nearest to 12? (a) 0 (b) f (c) 4.1 (d) 0.4
b
Suppose -18 = 4*f + 4*w + 2, 5*f - 4*w = -34. Let t be (4 - (-35)/(-10))*4/f. Let u = 5.1 - 0.1. What is the closest to -0.2 in -1, u, t?
t
Let k = -6.1 + 1.1. Suppose 0 = -341*z + 2*z + 59 + 280. Which is the closest to 0? (a) 0.1 (b) k (c) z
a
Let p = -316 + 316.0522. Let z = p + -0.1522. Which is the closest to z? (a) 0.5 (b) 2/5 (c) -0.06 (d) -0.01
c
Let j = 972.76 - -18.24. Let s = j - 1031.9. Let d = s + 41. Which is the closest to 1/2? (a) 2 (b) 5 (c) d
c
Suppose 93 = 24*n - 219. Let i be (-6 - 46)/n - (-26)/7. Let h = 4 + -9/2. What is the closest to 1 in 1/7, h, i?
1/7
Let y be ((-3)/2)/(138/92). Let h be 5*(-2)/18 + (22 - 21). Let w = 3 + -4. Which is the closest to y? (a) w (b) -1/5 (c) h
a
Let w = 103 - 30. Let b = 70 - w. What is the nearest to 0 in 0.07, b, -0.4?
0.07
Let x be 1 - (357/(-14))/(-17) - (-28)/24. What is the nearest to -1 in x, -3, -4, 61?
x
Let d = 58 + -59. Let l = d + 0.8. Let z be (-12)/9*3/9. Which is the nearest to -0.1? (a) l (b) 1/7 (c) z
a
Let d = 27 - 20. Let y be (18/108)/(d/6). Let n(k) = -k**2 - 8*k - 15. Let s be n(-5). Which is the closest to s? (a) -0.2 (b) -15 (c) y
c
Suppose 5*k + 18 = 9*k + 2*g, 3*k = 3*g + 9. Which is the closest to k? (a) 3 (b) -3/7 (c) 0.1
a
Let z = -3.2318 - -3.4318. What is the closest to -3 in z, -4, -9, 2?
-4
Let s = -5354 - -1290312/241. Let k = 1679/964 - s. Let g be (1/2)/((-6)/3). Which is the closest to g? (a) k (b) -2 (c) -3/5
c
Let t = -0.26 - -0.352. Let u = t - 0.092. What is the closest to u in 4, 2/17, 0.1?
0.1
Let z = -48 - -54. Let x be (z/10)/3 + 41/1845. Let j = 2.8 + -3. Which is the closest to j? (a) -2/19 (b) -1/2 (c) x
a
Let h = -315.0774 - -0.0774. Let u = h + 318. Let n be ((-2)/(-12))/(35/20). What is the closest to n in u, 2, -1/2?
-1/2
Let x be (9 + (-132)/15)*(-1 - 0/(-2)). What is the closest to -2/3 in x, -3, 3/4?
x
Suppose -2*v + 7 = -3*h, 1276*v + h + 17 = 1273*v. What is the closest to 1 in 2/5, 0.13, v, 0.3?
2/5
Let o = 54.922 - 55. Let u = 37.922 - o. Let z = u + -39. What is the nearest to 2 in -1/8, -2/7, z?
-1/8
Let w be (0 - (-37)/44) + (-528)/704. Which is the nearest to 92/3? (a) 0.5 (b) w (c) 0.4 (d) -5
a
Let j = -1.424 + 0.424. Which is the nearest to 49? (a) j (b) -4/7 (c) 3 (d) -4
c
Let h = 0.58 + -0.3. Let f = -106.72 - -107. Let g = h - f. Which is the closest to g? (a) -2 (b) -4 (c) 0.1
c
Let i = -304.5 - -21.5. Let n = 283.2 + i. What is the closest to n in 0.6, 4, 0.2?
0.2
Let p = 804 + -804.122. Let l = 0.222 + p. Let y = 112/3 + -1226/33. Which is the closest to 0.1? (a) -11 (b) y (c) l
c
Let s be (2 - 11)*((-8)/162)/((-364)/(-546)). Let q be (6/(-14))/(0 + -1). Let g = -0.03 + 3.03. What is the closest to 0.2 in g, q, s?
q
Let y = 1.06596 - 0.06596. What is the closest to 1/2 in y, -0.4, 1/23, 2/7?
2/7
Let m = -1 + 1.5. Let y = -1.8 - -2. Let u = 7751.7 + -7751.9. What is the nearest to u in y, 5/4, m?
y
Let l = -10 - -9. Let z = 1.0046 - 0.0046. Which is the nearest to -1.9? (a) z (b) 3 (c) l
c
Let q = 9.0035 + -9.2035. Let d = 7 + -10. Which is the nearest to -32? (a) d (b) -2/13 (c) q
a
Let q be (96/(-7))/(82/287). Which is the closest to 1/4? (a) -1/4 (b) q (c) 0.5
c
Let n = -1.86 + 1.89. Let h = -35790/23 - -1556. What is the nearest to -0.05 in n, -0.5, h?
h
Let z = 1 + 1. Let n = -527989 - -527989. Which is the closest to n? (a) z (b) 91 (c) 1/5
c
Let l = -5.536 + 462.536. What is the nearest to l in -2/19, -5, -0.3?
-2/19
Let s(g) be the first derivative of g**4/4 + g**3 + g**2/2 + 3*g - 122. Let a be s(-3). What is the closest to -32 in -1/2, a, -3?
-3
Let w = 3858 + -50152/13. Let d = -0.02 - -1.02. Let l be (2 + 6/(-2))*-1. Which is the closest to l? (a) w (b) 0.4 (c) d
c
Let f = 13540 - 13538. Which is the nearest to -1606? (a) 0.1 (b) f (c) -1/10
c
Let t = -3777.1 + 3777. Which is the closest to 1? (a) -0.5 (b) 39 (c) t
c
Let f = 0.10832 + -0.20832. Which is the closest to 118.7? (a) 5 (b) -3 (c) f
a
Let n = 6.1 + -7.4. Let v = n - 2.7. Which is the closest to -47? (a) v (b) -2/9 (c) 3
a
Let r = -2.54 - 54.46. Let u = r + 57.4. Which is the closest to 2? (a) u (b) -2/9 (c) 2/9
a
Let y = -4302/14077 - -40/2011. What is the nearest to y in -7, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
= 25*z + 8*z. Round z to the nearest 100000.
-2500000
Let x = 11279648 + -4141648. Round x to the nearest 100000.
7100000
Let d = 3288 + -3278.51. What is d rounded to 0 dps?
9
Let m be (-1)/(-9) + (-1222433088)/(-108). Let q = -60005000 - -34886175. Let y = q + m. What is y rounded to the nearest one million?
-14000000
Let f = -21.09 + 9.14. What is f rounded to zero decimal places?
-12
Suppose -14*x = -11*x + 48. Let g(m) = 1037499*m - 16. Let v be g(x). What is v rounded to the nearest one million?
-17000000
Let o = -12640.853710412 + 12637.25371. Let a = 3.6 + o. Round a to 7 decimal places.
-0.0000004
Suppose 0*j = -12*j + 36. Let o be 34695 - (-30)/18*j. Round o to the nearest 10000.
30000
Let z be ((-6)/4)/(16/3424). Let h = -631 + z. What is h rounded to the nearest one hundred?
-1000
Let q = 235.9431 - -0.0569. Let c = q + -235.9666. Round c to two decimal places.
0.03
Let w = 5952.86291 - 5953. Round w to 2 decimal places.
-0.14
Let k(n) = 372444*n**2 + 2*n + 54. Let b be k(-9). What is b rounded to the nearest 100000?
30200000
Let j = -1.584 - -1.5807144. Round j to 4 dps.
-0.0033
Let v = -1.82 + 3.24. Let l = v + -2.029. What is l rounded to 2 dps?
-0.61
Let t = -285.9322 + 286. Let x = t + -0.067800279. What is x rounded to 7 decimal places?
-0.0000003
Let n = 1867.4 + 2057.8. Round n to the nearest one thousand.
4000
Let c = 294.531 + -0.531. Let y = c + -298.63. Round y to zero dps.
-5
Let p = -347 - -347.333. Let m = 0.079 + p. Round m to two decimal places.
0.41
Let v = -0.1047 - 8.4253. Let y = v - -8.528192. Round y to 3 decimal places.
-0.002
Let o = 80990421.25001126 - 80990422. Let n = o - -0.75. Round n to 6 decimal places.
0.000011
Let o = -214.7 - -39.7. Let h = -276 - o. Let l = 100.43 + h. Round l to one decimal place.
-0.6
Let i = 2.4074246 - 2.4054. Round i to five decimal places.
0.00202
Let r(c) = 2*c - 40. Let k be r(20). Suppose k = -3*q + 7*q + 4. Let i(b) = -420*b**3 - b**2 - b. Let f be i(q). What is f rounded to the nearest 100?
400
Suppose 43*a - 41*a - 678000 = 0. Suppose 0 = -47*l + 50*l - a. Round l to the nearest 10000.
110000
Let a = 26760.000063014 - 26760. Round a to six dps.
0.000063
Let m(z) = -5*z - 60. Let i be m(-12). Suppose i = -3*o + 2*f + 1389, 8*f = 12*f. What is o rounded to the nearest 100?
500
Let o = 3.504 - -2161.496. Let x = 2145.54 - o. Let s = x + 21.8. Round s to the nearest integer.
2
Let r = -4938.5 + 4938.533383. What is r rounded to three decimal places?
0.033
Let s = 2171.8007 - 2162.33. Round s to one dp.
9.5
Let d = -6787.22 - -6890. What is d rounded to 0 decimal places?
103
Let f = -0.222 - -4111.222. Let j = -3562.4 + f. Let o = -637 + j. What is o rounded to the nearest ten?
-90
Let x be (16 - 159/10)*-4 + (-2202448)/5. Round x to the nearest one thousand.
-440000
Let o = 10341548 - 5968548. What is o rounded to the nearest one hundred thousand?
4400000
Let n = 6492.92 + -6671. Round n to 0 dps.
-178
Suppose -116*b = 96868776 - 529745976. Round b to the nearest ten thousand.
3730000
Let r = 14639.8 + -15386.91. Round r to the nearest 100.
-700
Let n = -38 - -37. Let k = n - 3.2. Let l = -4.19999975 - k. What is l rounded to 7 decimal places?
0.0000003
Let y = 8605.999999251 - 8606. What is y rounded to 7 dps?
-0.0000007
Let k = 526.1 - 526.102353. Round k to 4 dps.
-0.0024
Let c = 316 - 300.4. Let f = 14.805 - c. Round f to one decimal place.
-0.8
Suppose -1201*l - 2158480 = -1205*l. Round l to the nearest 100000.
500000
Let u(d) = -5*d + 11. Let z be u(0). Suppose -90 = -z*q + 2*q. Suppose -q*o = o - 616000. What is o rounded to the nearest 10000?
60000
Let g(s) = -s**3 - 4*s**2 + 6*s + 4. Suppose -31 + 6 = 5*x. Let j be g(x). Let i be (3/6)/(j/8)*-3775. Round i to the nearest 1000.
15000
Let c = 298.6 + -13.6. Let l = c - -548. Let k = 833.00349 - l. What is k rounded to 4 decimal places?
0.0035
Let p = 12.2117 - -6157.4883. Round p to the nearest 1000.
6000
Let p(d) = -57*d**2 - 26*d - 255. Let x be p(13). What is x rounded to the nearest 1000?
-10000
Let m = 206.1 - 77.1. Let b = -85.4 + m. Round b to 0 decimal places.
44
Let c be 1*(-1)/(-1)*5. Suppose 5*w - 91704778 - 214295207 = -5*u, 0 = -c*w + 5*u + 306000015. What is w rounded to the nearest 1000000?
61000000
Let n be (21333456 + -2)/(2/23). Suppose 3*z - 96665279 = n. Suppose 4*u + z = -2*u. Round u to the nearest one million.
-19000000
Suppose -205 = -4*l - 1277. Round l to the nearest one hundred.
-300
Let z = 2.66144 + -0.11144. What is z rounded to the nearest integer?
3
Let h = 0.0694 - 1.0474. Let w = -91.178 - h. What is w rounded to the nearest integer?
-90
Let m = 359.9427 - 0.2427. Let o = 362.623 - m. What is o rounded to one decimal place?
2.9
Let k = -1790462523.79999724 + 1790462575. Let x = -51.2 + k. Round x to six decimal places.
0.000003
Let l = 11.8161 + 0.5339. Round l to 1 decimal place.
12.4
Let o = 103 + -39. Let n = -756.7 + 829. Let t = n - o. Round t to 0 decimal places.
8
Let h = -96.0429 - -96.1. Let n = 0.0569751 - h. What is n rounded to 5 dps?
-0.00012
Let n = 0.1868 + -0.180445. What is n rounded to four dps?
0.0064
Let b = -15.2 + -3. Let i = b - -18.20682. Round i to three dps.
0.007
Let g(i) = -171*i - 2785. Let p be g(15). Round p to the nearest one thousand.
-5000
Let p = 0.0943482 + -802.4413482. Let l = 803 + p. What is l rounded to two decimal places?
0.65
Let l be (-2)/3*-21*-4465927. Let y = l - 9077022. What is y rounded to the nearest one million?
-72000000
Suppose -5*j = 35*s - 38*s + 12, 0 = 2*j + 4*s - 16. Suppose 0 = -3*i - j*i - 4*t - 1053020, -2*t = i + 351010. Round i to the nearest ten thousand.
-350000
Let r = -0.0386 + 23.0486. What is r rounded to 0 dps?
23
Let n = -641034 + 30877. Let t = n + -464945. Let p = t + 631102. Round p to the nearest 100000.
-400000
Let n = 19.1 + -20.628. Round n to zero dps.
-2
Let t = 896063014.09999001 - 896063165.1. Let r = 151 + t. What is r rounded to seven decimal places?
-0.00001
Suppose 0 = -12*a - 43324338 - 26122985 + 12839723. Round a to the nearest one hundred thousand.
-4700000
Let g = 2160.8967470349477 - -0.1032519340523. Let k = g + -2161. What is k rounded to 7 dps?
-0.000001
Let j = -0.586 - -70.386. Let u = j + -63. Let l = u + -6.8025. Round l to 3 decimal places.
-0.003
Let b = 1269429 - 754433. Suppose b = q + 2*c, q + 0*c - 514992 = -4*c. What is q rounded to the nearest 1000000?
1000000
Let x = 3.01588 + 0.07712. Let a = x - 2.92. Let b = -0.17081 + a. What is b rounded to three decimal places?
0.002
Suppose 0 = -280*p + 278*p + 28. Suppose 0 = -p*i + 2790082 - 13010082. What is i rounded to the nearest one hundred thousand?
-700000
Let p(j) = 3*j + 6. Let g be p(0). Suppose -3*x + 65544119 + 103655881 = 0. Suppose -g*v = -4*v + x. Round v to the nearest 1000000.
-28000000
Let t be (17 + -18)/((2/37969742)/1). Let b = -6340886 - 33643985. Let i = t - b. Round i to the nearest one million.
21000000
Let p = -444.43 + 444.43118147. Round p to 4 decimal places.
0.0012
Let c = -12.02026 + 0.15926. Let l = -10.31 - c. What is l rounded to 2 dps?
1.55
Let r = 33849 + -33849.0091645. What is r rounded to four decimal places?
-0.0092
Let x = 291.6 + -291.4754. What is x rounded to 3 dps?
0.125
Suppose -3*n = 2*j - 3*j + 289664, 5*n = 2*j - 579330. Let u(y) = -178697*y - j*y - 4 - 806629*y - 12. Let z be u(4). Round z to the nearest 1000000.
-5000000
Let v(c) = -60484*c**2 + 4*c - 1. Let o be v(2). Let m be 1/4 + o/36. Let f be 0 + m*(-3122 + -3). Round f to the nearest 1000000.
21000000
Let y be (-6)/(-4)*48/36 - -4. Suppose -y*c + 368200 = -4*c. Round c to the nearest ten thousand.
180000
Let b = -11113 - -11114.7903. Round b to 2 dps.
1.79
Let i = -0.344088 - -0.2310271. Let s = i - -21.1134129. Let k = s + -21. Round k to 4 dps.
0.0004
Suppose 21*a - 45906613 = 11675387. What is a rounded to the nearest one million?
3000000
Let b = 1090193 + -684978. Suppose -b = 2*d + 2499081. Let l = 82148 + d. What is l rounded to the nearest 100000?
-1400000
Let y = -0.086 + 798.086. Let d = 797.999998994 - y. Round d to seven decimal places.
-0.000001
Let b = -838.6500058261 - -838.65. Round b to six decimal places.
-0.000006
Let f = -8768968 - -3208268. What is f rounded to the nearest ten thousand?
-5560000
Let a
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{
"pile_set_name": "DM Mathematics"
}
|
et p(t) = -t**2 + 0*t - 4*t**3 - 2*t - t + 4*t + 1. Is p(-1) a prime number?
True
Let i = -15 - -32. Suppose i = 2*a - 29. Suppose 4*f - 3*x = 93, 0 = 5*f - 5*x - 143 + a. Is f a prime number?
False
Suppose -2*d = -5*p - 2462 - 1916, 8 = 2*p. Is d composite?
True
Let u(j) = -j**3 - 14*j**2. Let z be u(-14). Suppose 435 = -z*f + 3*f. Is f a composite number?
True
Suppose 4*q - 5*x - 25 = 12, 35 = 5*q - 4*x. Suppose q*j = -j - 4. Is (j + 0)*(-17 + -4) a composite number?
True
Suppose 0 = 3*d + d - 36. Suppose 2*z = 1 - d. Is (2/z + 1)*46 composite?
False
Let b(m) = 2*m - 1 + 2*m**2 - 5 - m**2 + 2. Is b(7) a composite number?
False
Let a be 0 + 0 + -2 + 2. Suppose a = -r - 2*r + 357. Suppose -4*t - h + r = 2*h, 2*h = 5*t - 120. Is t prime?
False
Suppose 0 = -4*l - 179 + 2191. Is l a prime number?
True
Suppose 4*a - 5*a - 5*u = 0, 0 = -5*a - 5*u. Let n be a/2 - (-8)/(-4). Is ((-8)/16)/(n/40) a prime number?
False
Let w = 62 - -69. Is w a composite number?
False
Let v(r) = 6*r - 7. Let t be v(4). Let g = -4 + t. Is g composite?
False
Let n be 3 + -1 + 243/3. Let x = 123 - n. Suppose -x = -c - 5. Is c a composite number?
True
Let l(t) = -t. Let p be l(-2). Suppose 3*y - 2 = 5*x - 39, -p*x + 18 = -2*y. Suppose 0*u + x*u - 265 = 0. Is u a prime number?
True
Let d = 5 + -3. Suppose 206 = 3*u + d*f, 0 = -3*u - f + 144 + 58. Suppose 250 = 5*i + v, 2*i - 2*v - u = 22. Is i composite?
True
Suppose 0 = 10*u - 208 - 2702. Is u composite?
True
Suppose 5*x = x - 16. Let f = 1 + -3. Is (-74)/x + (-1)/f prime?
True
Suppose 0 = 4*k + 4*y - 228, 0*y = 5*k - 2*y - 299. Is k a prime number?
True
Let n be (4/(-2))/((-5)/10). Let x(t) = -5 + 0*t - n*t + 2*t. Is x(-12) a prime number?
True
Let s(g) = g**3 - 8*g**2 + g - 5. Let y be s(8). Suppose y*b - 2*b = 337. Is b composite?
False
Let t = -473 + 844. Is t a prime number?
False
Suppose 2*z + 0*z = 246. Is z prime?
False
Let o = -7 + 3. Is 2*(-2)/(o/161) composite?
True
Suppose -s - 2*s = 3*t - 24, -4*t - 8 = -4*s. Suppose 3*h = t*a - 18, -49 = 4*h - 5*a - 20. Let x(v) = 24*v**2 + v. Is x(h) a prime number?
True
Let f be (-9)/(-6)*(-16)/(-6). Suppose -2*s - f = -0. Is 2*33 - (-2)/s a composite number?
True
Let v = -3 - -2. Let y(a) = 55*a**2 + a + 1. Let s be y(v). Let x = s + -2. Is x a composite number?
False
Let t(s) = s**2 + 2*s - 2. Let m be t(-3). Let p(j) = 88*j**2 + j. Is p(m) composite?
False
Suppose -2*p = -5*v + 1979, 4*v + 0*p = 2*p + 1582. Is v composite?
False
Suppose -940 = -2*h - 2*p, -2*h - 2*p = 3*h - 2341. Is h a composite number?
False
Suppose 4*c - 36 = 4*f, -5*f + 0*c - 33 = -c. Let k(z) = z**2 + z - 1. Let v be k(0). Is (-3)/(f/176) + v prime?
False
Is -5 + 3 - (0 - 23) composite?
True
Suppose -3*j + 2193 = 156. Is j composite?
True
Let m(a) = -8*a**2 + a. Let n be m(1). Let z(p) = -p**2 - 14*p - 3. Let k be z(n). Let j = 79 - k. Is j composite?
True
Let q be (-26228)/(-20) - 4/10. Is 2/(-7) + q/7 prime?
False
Let x(z) = 20*z**2 - 3*z + 11. Is x(-6) a prime number?
False
Suppose 0 = -3*m + 6, u + 2*m + 9 = -0*u. Let b = 1 - u. Is b composite?
True
Suppose -5*g = -5*h + 15, 0 = 5*h - 3*g - 0*g - 23. Let d(j) = 33*j + 6. Let p be d(h). Is p/6*(-2 - -4) a composite number?
False
Let g be (-256)/12*(2 - -1). Let b = -21 - g. Is b a prime number?
True
Let t be (0/2)/(-5 + 6). Let c be 4 - t/(2 + -1). Suppose 3*s - 4*d = 30, 0 = -3*s - c*d + 6 + 24. Is s composite?
True
Suppose 0 = -3*z + 1577 + 2434. Is z a composite number?
True
Suppose -y - t - 31 = -6*y, 0 = -2*y + 5*t + 17. Suppose 8 = y*z - 2*z. Suppose -z*j = 4*x - 144, -5*x + 2*x + 115 = -2*j. Is x a composite number?
False
Suppose 0*f - 4*i + 1188 = 4*f, 0 = -f - 3*i + 305. Is f a composite number?
False
Let s(b) = -50*b - 3. Let v be s(-2). Suppose -4*x + 8 = -0*x. Let n = v - x. Is n prime?
False
Suppose -4*o = -4 - 4. Suppose 4*h + r - 6 = 2*r, h = o*r - 2. Is (4 - 4/h) + 20 prime?
False
Let p = 226 + -17. Is p prime?
False
Suppose -2 = -5*x + 4*x. Suppose -4*v = 2*j - 7*j + 5, x*v + 4*j = 4. Suppose -15 = -v*a - a. Is a composite?
True
Suppose 17*c - 25*c = -5064. Is c a composite number?
True
Suppose -z + 1 = -2. Suppose -l + 5*c = -287, -z*c + 49 = 4*l - 1122. Suppose 0 = -4*v + l + 504. Is v a composite number?
False
Let c(z) be the first derivative of 5*z**3/3 + 2*z + 3. Is c(3) a prime number?
True
Let j be -2*(0 - (-1)/2). Is 39 - (j + -2 - -5) a composite number?
False
Let a = 8 + -6. Suppose -t + 13 = -a*t. Let k = t + 71. Is k a composite number?
True
Let v = 3 + -42. Let p = v - -92. Is p composite?
False
Let i = -1 + 3. Let d(c) = 2*c**2 - c - 2. Let j be d(2). Suppose -5*q + 391 = 2*v, i*v - 311 = -j*q + v. Is q a composite number?
True
Let m = -12 + 18. Is 147 - 1 - (-18)/m a composite number?
False
Suppose 0 = 6*g - 2*g. Suppose -4*s + 16 = 0, 3*s + 70 = 2*b - g*s. Suppose -5*a + b = -3*f, -2*a + 6 = -5*f - 18. Is a composite?
False
Suppose -2*c - 18 = 5*a, -a - 4 = -2*c + 2. Let v(m) = -2*m**2 - 15*m - 5. Let y(p) = p**2 + 7*p + 2. Let s(n) = -2*v(n) - 5*y(n). Is s(a) a prime number?
False
Let u = -697 - -1045. Suppose -11*p + 5*p + u = 0. Is p prime?
False
Let m(k) = k - 9. Let r be m(9). Suppose 5*x - 4*f = 457, -2*x = -r*x + f - 175. Is x composite?
False
Suppose 3*x + c = 4*c + 2115, -3*x - 2*c = -2095. Is x a composite number?
False
Let n(x) be the third derivative of -x**6/120 - x**5/60 + x**4/12 - 7*x**3/6 + 4*x**2. Is n(-5) prime?
True
Let b be 1 + 13 + 0/2. Let w be ((-6)/(-4))/(3/42). Let a = b + w. Is a composite?
True
Suppose 10 = 2*b, k - 5*b + 37 = 13. Suppose 0 = 4*i - k - 11. Is (0/i - -51) + 2 a composite number?
False
Suppose 842 + 337 = 9*h. Is h composite?
False
Is 183/2 - (-11)/(-22) a composite number?
True
Let i be (-2)/9 + (-261)/(-81). Suppose 607 = 5*s - 3*f, -s - 2*s - i*f = -345. Is s prime?
False
Suppose -5*s - 32 = -12. Let v(l) = 3 + 26*l - 89*l - 4. Is v(s) a prime number?
True
Let l(p) = p**2 - 4*p - 4. Let v be l(6). Let b = 8 - v. Suppose 5*a = -b*a + 35. Is a a prime number?
True
Let p(f) = -4*f + 69. Is p(0) a prime number?
False
Let p(n) = 101*n**2 - 2*n + 4. Is p(3) a composite number?
False
Let g(y) = y**3 - 4*y**2 - 2*y + 7. Let d be g(5). Suppose 0 = 2*u - 128 + d. Is u composite?
False
Let l(a) be the first derivative of 25*a**2 - 2*a - 1. Let x be l(2). Let d = x - 61. Is d a prime number?
True
Suppose -u + 6*u + 415 = 0. Let y = u + 150. Is y a prime number?
True
Let b(u) = -u**3 + 6*u**2 - 5*u - 3. Let q be b(5). Let w(t) = -71*t + 4. Is w(q) a composite number?
True
Let s be 2/10 + 2502/15. Let x = s + -6. Suppose 2*p = 2*b + 88, 0 = -4*p - 0*b + b + x. Is p a prime number?
False
Suppose 4*f - 5 = 3. Suppose -23 - 111 = -f*i. Is i a composite number?
False
Let j(i) = 2*i**2 + 18*i - 10. Let r be j(-13). Let b = r + 519. Is b prime?
True
Let v be (-2)/(1 + (-87)/93). Let a = 3 - v. Is a composite?
True
Let y(n) = 3*n**2 + 30*n + 26. Is y(-21) a composite number?
False
Is 2/(-8) + 342/24 a prime number?
False
Suppose -5*t = -4*t + 248. Let w = -99 - t. Is w prime?
True
Suppose -5 = -4*x - 1. Let t = 176 - x. Suppose -4*b - 1 + 17 = 0, 0 = 5*g - 5*b - t. Is g composite?
True
Let h(t) = 5*t**2 - 4*t + 2. Let y = 31 + -22. Let c(k) = -k**2 + 8*k + 11. Let f be c(y). Is h(f) composite?
True
Let r(f) = -4*f - 5. Let p be r(-3). Suppose 0 = 3*o + 82 - 292. Let n = p + o. Is n a composite number?
True
Let t(k) = k - 3 + 2*k + 2*k**2 - 4*k + 8*k. Let o be t(-8). Suppose 0*f + o = 3*y + 2*f, -f = 0. Is y a composite number?
False
Suppose 0 = 4*w + 2*x - 1 - 1, -3*x - 2 = w. Let b be 3*w*3/(-9). Is b*(0 - 3*7) a composite number?
True
Let i = -245 - -168. Let n = i + 128. Is n a prime number?
False
Let d(p) = 152*p - 1. Let i(r) = 153*r - 1. Let o(t) = 3*d(t) - 2*i(t). Is o(1) composite?
False
Let n(j) = -2*j + 1949. Is n(0) composite?
False
Suppose 6 = 2*x - 4. Suppose -x*z + 2*z = -477. Is z prime?
False
Suppose 89 = -b - n, b = n - 3*n - 88. Let h = 184 + b. Is h a prime number?
False
Let w be (-3)/12 - 242/(-8). Let c = -12 + w. Let y = c - -19. Is y a composite number?
False
Let v(y) = y**3 + 4*y**2 - 3*y - 3. Let a be 0 + -4 + 3 + 5. Is v(a) prime?
True
Let w = 3 - 1. Suppose -f + 2*b = 4*b + 7, 20 = 5*f - b. Suppose -4*q = f*c - 182, -q + 57 = -7*c + w*c. Is q a composite numbe
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1) - 1 - 4 + 6)*(v**4 + 6*v - v**2 + 2*v**4 - 5*v) to the form t*v**4 + g + z*v**3 + r*v + p*v**2 and give p.
-2
Rearrange 12*c**3 - 19*c**3 - 98*c**3 + 2*c**2 to the form t*c**3 + p + y*c + d*c**2 and give d.
2
Rearrange 700*d - 700*d + 2012*d**2 to the form u*d + r*d**2 + o and give r.
2012
Rearrange (-1 + 6*m + 1)*(-m + 3 - 3)*(-93*m + 121 - 121 - 230*m) to q + a*m + o*m**2 + v*m**3 and give v.
1938
Rearrange (5 + 2*g + 6*g - 6*g)*(81*g - 22*g - 35*g) - 4*g**2 + 0*g**2 + g**2 to the form l*g**2 + s*g + x and give l.
45
Rearrange 26*s + s + 2765*s**2 + 2763*s**2 - 5526*s**2 to g + t*s + w*s**2 and give t.
27
Express 1930*d + 1952*d - 3861*d as j*d + y and give y.
0
Express 320*b - 106*b + 376*b - 62*b as u + p*b and give u.
0
Express (38*t + 52*t - 5*t)*(-6*t**2 + 2*t**2 - 3*t**2)*(0*t - 4*t + 2*t) as q + b*t**2 + k*t + d*t**3 + z*t**4 and give z.
1190
Express -11*j + 17 - 1 + 9*j + 6*j**2 + 2 + 1 as x*j + g + b*j**2 and give g.
19
Rearrange 6*s**3 + s**2 - 428*s + 863*s - 434*s to the form z*s**2 + f*s + b + n*s**3 and give z.
1
Rearrange -23*g**2 + 3*g**3 - 6*g**2 + 9*g**2 - 7*g**2 to the form a*g**2 + o*g + q*g**3 + v and give a.
-27
Express -b**2 + 45 - 5*b - 45 - b + 2*b**2 + b - 2*b**2 + 0*b**2 + 0*b**2 + (-1 + 0 + 0)*(9*b**2 + 4*b**2 - 12*b**2) in the form l*b + k*b**2 + x and give l.
-5
Rearrange 5 - 125*k**4 + 8 + 2*k**3 - 6 - 6 to g*k**3 + s*k**2 + d + l*k**4 + f*k and give l.
-125
Rearrange 732*v + 807*v - 221*v - 35*v to l*v + i and give l.
1283
Express (2*i - i + i)*(-53 + 17*i**2 + 53) - 3*i**3 + 2*i**3 - 2*i**3 + (-7*i**2 + i - i)*(-4 + 4 - 2*i) as k*i**3 + y*i + p + u*i**2 and give u.
0
Rearrange 4*u**2 + 6 + 12*u**3 - 11 - u**4 + 3 to r*u**4 + q*u + i*u**3 + m*u**2 + t and give t.
-2
Rearrange (5 - 20 - 9)*(-3*c + 6*c + c**2 - 2*c) to the form q*c + l*c**2 + v and give l.
-24
Express 18*f**4 - f**4 - 6*f**4 + (4*f**2 - f**2 - 2*f**2)*(2*f**2 - 1 + 1) + 3*f**4 - 4*f**4 - 5*f**4 as w*f + k*f**2 + v + j*f**4 + a*f**3 and give j.
7
Rearrange ((-2 + 7 - 3)*(2*r - 2 + 2) - r - 2*r + 5*r)*(810*r + 70*r**2 - 799*r + 9*r**2) to h*r + t*r**3 + f*r**2 + b and give f.
66
Rearrange ((2 - 2 + 2)*(x + x - x) + 2*x - 84*x - 31*x)*(0*x**2 - x**2 + 0*x**2) to n*x**3 + y*x**2 + i + l*x and give n.
111
Express (4*c - 4*c + 2*c)*(-226*c + 270*c + 3 + 216*c) + 0 + c**2 + 0 as y*c**2 + k + n*c and give n.
6
Express 4422885 - 446*a**2 - 4422885 in the form i + b*a**2 + w*a and give b.
-446
Express 50*i - 54*i - 117*i as w + k*i and give k.
-121
Express -12*i + 15*i + 20*i + 101 + 3*i - 101 + 2*i - i - 2*i + (0 + 0 - 2*i)*(-4 + 1 + 2) as f*i + a and give a.
0
Rearrange -16*d - 16*d - 119*d + (-3 + 2 + 3)*(-5*d + 3*d - 4*d) to c*d + w and give c.
-163
Express 20*z**3 - 133 - 130 + 394 - 130 in the form v*z**3 + k*z + t + b*z**2 and give v.
20
Rearrange 33 - 12*j - 120*j - 33 + 9*j to n*j + y and give n.
-123
Express -9*r**3 + 0 + 0 - 216*r + 220*r in the form k*r + c*r**2 + o + i*r**3 and give i.
-9
Express (0*y + y + y)*(11*y - 14*y - 9*y)*(3 - 2 + 11) as n + d*y**2 + l*y and give d.
-288
Rearrange 2119*q**4 + 1 - 1060*q**4 - 1061*q**4 - 3*q**2 - q**3 + 3*q to f + k*q**3 + r*q + j*q**2 + w*q**4 and give r.
3
Express (7*w - w + 5*w)*(-2 + 2 - 2*w) + 0*w**2 - 3*w**2 - 3*w**2 - 4*w**2 + w**2 + 2*w**2 + 4*w**2 - 3*w**2 + 2*w**2 in the form s*w**2 + m*w + y and give s.
-26
Rearrange -2*y + 3*y + 2*y + (-y + y - 2*y)*((-1 + 7 + 0)*(1 + 4 - 1) - 2 + 0 + 3) to h + v*y and give v.
-47
Express (0*z + 3*z + 2*z)*(6*z - 6*z + 6*z**3) + 0*z**4 - z**4 - z**4 + 0*z**3 - 3*z**4 + 0*z**3 as c*z**2 + t + l*z**4 + d*z + g*z**3 and give l.
25
Express (9 - 3 + 6)*(-14*v - 12*v - 7*v) in the form u + b*v and give b.
-396
Rearrange -n - 1231 + 223*n**2 + 1231 to v*n + f + b*n**2 and give b.
223
Express 7698 - 3848 - 3850 - 393*z**2 as b + l*z**2 + v*z and give l.
-393
Express 214*c + 4563 - 4563 in the form n*c + r and give n.
214
Rearrange 58*p**3 - 12*p**3 - 4 - 24*p**3 + 0 to the form h*p**3 + g*p + y*p**2 + v and give h.
22
Express 1 - 96*v**3 + 37*v**3 + 35*v**3 + 27*v**3 + 2*v**2 + 2*v in the form w*v + y + k*v**3 + x*v**2 and give k.
3
Express 3 + 887*o**2 - 49*o**2 - 116*o**2 - 3 as s + d*o**2 + q*o and give d.
722
Express -n**2 - 422 + 855 - 431 + 7*n + 26*n**3 + n**2 in the form d*n**3 + s*n + b + y*n**2 and give s.
7
Rearrange 9*s**4 - 10*s**4 - 8*s**2 - 2*s**3 - 3*s + 9*s**2 + 2 to the form l*s**3 + d + c*s**2 + m*s + u*s**4 and give d.
2
Express (2*t**2 + 3*t**2 - 6*t**2)*(1337 - 612 - 565) as r + n*t + m*t**2 and give n.
0
Express -1 - 245*s**3 - 238*s**3 - 2*s + 2*s**4 + 481*s**3 - 11*s**2 as n*s**2 + f*s + q + x*s**3 + j*s**4 and give f.
-2
Rearrange 3*i**2 - 8*i**2 + i**2 - 2*i + 14 + 2*i**2 to the form r + v*i + u*i**2 and give u.
-2
Rearrange ((-2 + 4 - 3)*(5 - 5 + g) + 3*g - 3*g - 2*g + 1 - 1 - g)*(117 + 1750 - 297) to the form c*g + h and give c.
-6280
Express 7*f - 23*f + 9*f - 29*f**2 as g + b*f**2 + x*f and give b.
-29
Rearrange (1 - 4 - 2)*(98 - 198 + 368*g - 92*g + 100) to h + o*g and give o.
-1380
Express -g**3 - 2*g**2 + 2*g**3 + 0*g**2 + 22 - g - g**4 + 11 as k + m*g**4 + c*g**3 + o*g**2 + r*g and give c.
1
Express (3*u**3 - 9*u**3 + 0*u**3)*(-2542 + 1356 + 1313) as x*u + k*u**3 + f*u**2 + y and give k.
-762
Rearrange 48*b**4 - b + 4*b**3 - 55*b**4 - 6*b**2 + 7*b**2 to n*b**2 + u*b**4 + d*b + k*b**3 + l and give u.
-7
Express -2*a**4 - 46*a**2 - 8*a**3 + 7*a**3 - 5*a**2 in the form l*a**2 + s*a + w*a**4 + m*a**3 + c and give l.
-51
Rearrange -15 + 4 + 5 - 1 + 5*w - w to the form r + u*w and give u.
4
Express (2*l + 3*l - 3*l)*(-2*l + 0*l + l + 0*l + 2*l - l - 2 + 2 - l + (2 - 2 - l)*(2 - 3 + 3) + 120 - 120 - 21*l) as j*l + s*l**2 + m and give s.
-48
Express 888*s + 4*s**2 + 2*s**3 - 2*s**2 - 896*s in the form x + i*s**2 + d*s + k*s**3 and give k.
2
Rearrange 107*s + 8 - 8 - 204*s - 210*s to w + y*s and give y.
-307
Rearrange (-1 + 4*j**2 + 1)*(0 - 2*j + 0 + (-2 + 0 + 1)*(-j - j - j) + 2*j + 2*j - 2*j + 0*j + 0*j - j) to r*j + f*j**2 + n*j**3 + x and give n.
8
Express 0*o + 1 + 16 + 2*o**4 + o**3 - 1 - 4*o in the form p + r*o**2 + a*o**3 + g*o + s*o**4 and give p.
16
Express (-1 - 3 + 3)*(0*c + 7*c - c) + 0*c + 3*c + 7*c - c + c - 2*c in the form k*c + f and give k.
2
Rearrange -263*q - 260*q + 760*q - 268*q to m*q + n and give m.
-31
Express 23 - 21*x - 39 - 22*x + 23 as j*x + r and give r.
7
Express 39*x**3 - 221*x**2 + 37*x**3 - 114*x**3 + 39*x**3 as i*x + g*x**2 + a + s*x**3 and give s.
1
Rearrange -3*d - d**3 - 2*d**4 + 3*d**2 + 10*d - 8*d + 5*d**2 to f*d + y + g*d**4 + j*d**2 + h*d**3 and give f.
-1
Rearrange (-3 + 10 + 2)*(-o + 0*o - 4*o)*(0 + 4 - 3) + 0*o - 2*o - 2*o to v*o + l and give l.
0
Express -2*s**3 + 0*s**3 + 293*s**2 - 149*s**2 - 156*s**2 in the form g*s**3 + i + q*s**2 + k*s and give q.
-12
Express (10*i**2 - 5*i**2 + 8*i**2)*(33*i + 11*i - 5*i) as a*i**2 + j + h*i**3 + b*i and give h.
507
Express 5*q + q - q + (-19 + 1 - 12)*(6*q - q - 2*q) as u*q + g and give u.
-85
Express 4 - a**2 - 2 + 12*a**3 + 13*a**3 + 9*a - 7*a + 0 in the form h*a**3 + g*a + l + w*a**2 and give h.
25
Rearrange (-6 - 10 + 6)*(-1 - 3 + 3)*(-1239 + 1239 - 75*t)*(-4*t**3 + 5*t**2 + 3*t**3 - 4*t**2) to the form c*t**2 + k*t**3 + v + l*t**4 + q*t and give l.
750
Rearrange -88*c**4 - 30*c + 5*c**3 + 90*c**4 - 3*c**3 + c**2 + 0*c**3 to the form m*c**3 + p*c + q*c**4 + r*c**2 + i and give r.
1
Rearrange (-315 + 117 - 193)*(-2 + 2 - d)*(3*d**3 - 2*d**3 + 0*d**3) to the form z*d**3 + j*d + i*d**4 + k*d**2 + b and give i.
391
Express 78008 - 78008 + 114*a in the form j*a + u and give j.
114
Express -6*r**4 + 0 - 287*r + 286*r + 3*r**4 - 4 in the form n*r**3 + w*r**2 + j + p*r + q*r**4 and give q.
-3
Rearrange -78*v**3 + 12*v**3 - 268*v + 269*v - v**2 to the form j + g*v + b*v**3 + d*v**2 and give g.
1
Rearrange (-40 + 40 - 4*x**2 - 2*x)*(-93*x + 862 - 862) to the form l*x + f*x**3 + r + o*x**2 and give f.
372
Rearrange 0*q - 30*q**2 + 2*q + q + 2*q - 3*q to the form n*q + b + c*q**2 and give c.
-30
Express (g - g - 4*g)*(15*g**2 - 12*g**2 - 2 + 2*g - 4) + 3*g**3 + g**3 + 0*g**3 as x*g**3 + n + r*g**2 + f*g and give f.
24
Rearrange 2 - 4140*r**2 + 4139*r**2 + 3*r + 417*r**3 - 2 - r to h*r**2 + y*r + o*r**3 + i and give y.
2
Express 122*i**2 + 34*i - 123*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
4)*(f - 2)*(f + 2765)
Find t such that -120*t**5 + 5976*t**4 + 84621*t**3/2 - 145521*t**2/4 + 39543*t/4 - 882 = 0.
-7, 1/4, 3/10, 56
Solve 3*o**5/2 - 975*o**4/2 - 28473*o**3 - 353847*o**2 + 1590111*o/2 - 824499/2 = 0 for o.
-27, 1, 377
Suppose -3*w**4/5 + 1176*w**3/5 - 107976*w**2/5 - 1425312*w/5 - 4406832/5 = 0. Calculate w.
-6, 202
What is b in -4*b**5 + 104*b**4 + 8*b**3 - 11872*b**2 + 23324*b - 11560 = 0?
-10, 1, 17
What is m in -4840*m**5 - 17292*m**4 + 12076*m**3 + 12560*m**2 - 10176*m + 1792 = 0?
-4, -1, 4/11, 7/10
Suppose -5*p**2 - 1875*p + 1880 = 0. Calculate p.
-376, 1
Let -8*q**2/7 + 500296*q/7 - 7821752738/7 = 0. Calculate q.
62537/2
Determine a, given that 2*a**4/3 - 680*a**3/3 + 56422*a**2/3 + 234608*a/3 + 59168 = 0.
-3, -1, 172
Factor o**3 + 3799*o**2 + 45480*o + 136332.
(o + 6)**2*(o + 3787)
Factor -r**3 - 116*r**2 - 855*r + 972.
-(r - 1)*(r + 9)*(r + 108)
Factor l**3/7 - 65*l**2/7 - 304*l + 21056.
(l - 56)**2*(l + 47)/7
Find q such that 3*q**2/4 + 1311*q + 572907 = 0.
-874
Determine u so that 2*u**4 + 130*u**3 - 544*u**2 + 552*u = 0.
-69, 0, 2
Solve -2*v**3 - 226*v**2 - 8432*v - 104040 = 0 for v.
-45, -34
Solve -2*z**4/7 - 974*z**3/7 + 16038*z**2/7 - 29146*z/7 + 2012 = 0.
-503, 1, 14
Determine x so that -12*x**2 + 228656*x - 152432 = 0.
2/3, 19054
Let -2*f**3 - 20642*f**2 - 53271840*f - 53251200 = 0. What is f?
-5160, -1
Suppose 4*j**2 - 40740*j + 610200 = 0. What is j?
15, 10170
Find h, given that 4*h**3 - 220*h**2 - 10752*h - 76032 = 0.
-24, -9, 88
Factor 4*g**5 + 1008*g**4 + 8868*g**3 + 29336*g**2 + 42864*g + 23328.
4*(g + 2)**3*(g + 3)*(g + 243)
What is d in 3*d**5 - 1926*d**4 + 37176*d**3 + 89808*d**2 - 148752*d - 328416 = 0?
-2, 2, 22, 622
Let -4*a**5 - 8*a**4 + 10620*a**3 - 10576*a**2 - 21200*a = 0. What is a?
-53, -1, 0, 2, 50
Solve 2*y**2/11 - 824460*y/11 + 84966786450/11 = 0.
206115
Let x**5/5 + 52*x**4/5 - 7778*x**3/5 + 23012*x**2/5 - 22903*x/5 + 7616/5 = 0. Calculate x.
-119, 1, 64
Factor i**4 - 3246*i**3 + 2630881*i**2 + 5271504*i + 2637376.
(i - 1624)**2*(i + 1)**2
Factor s**2/9 - 36146*s/9 + 326633329/9.
(s - 18073)**2/9
Solve -x**4/5 + 4056*x**3/5 - 822555*x**2 - 36504*x/5 + 37015056/5 = 0 for x.
-3, 3, 2028
Factor r**2/9 + 101*r/3 - 304/9.
(r - 1)*(r + 304)/9
Factor -s**3/4 + 476*s**2 + 156657*s/4.
-s*(s - 1983)*(s + 79)/4
Determine t, given that -2*t**3 + 626*t**2 + 298768*t + 24075816 = 0.
-142, 597
Solve -r**3/6 - 4273*r**2/3 = 0 for r.
-8546, 0
Factor 5*y**2 - 103625*y - 103630.
5*(y - 20726)*(y + 1)
Determine a so that -2*a**3 - 596*a**2 + 3030*a = 0.
-303, 0, 5
Factor -2*z**2/7 + 42132*z/7 - 221888178/7.
-2*(z - 10533)**2/7
Determine l, given that -4*l**4/5 - 472*l**3/5 - 1092*l**2 = 0.
-105, -13, 0
Factor -4*k**2/11 + 12106*k - 66582/11.
-2*(k - 33291)*(2*k - 1)/11
Solve 5*x**3/6 + 7780*x**2/3 - 5*x/6 - 7780/3 = 0.
-3112, -1, 1
Factor 3*w**3 + 273*w**2 + 5904*w + 19440.
3*(w + 4)*(w + 27)*(w + 60)
Let -9*k**3/4 + 5237*k**2/4 - 1162*k = 0. What is k?
0, 8/9, 581
Find r such that -4*r**3 - 1208*r**2 - 16796*r + 431288 = 0.
-286, -29, 13
Factor -4*w**2/5 + 2372*w/5 + 2392.
-4*(w - 598)*(w + 5)/5
Factor -5*n**2 + 3625890*n - 657353914605.
-5*(n - 362589)**2
Determine k, given that -10*k**5/3 - 398*k**4 - 6176*k**3/3 - 760*k**2 = 0.
-114, -5, -2/5, 0
Solve -3*j**2 - 1884*j/5 - 8721 = 0.
-95, -153/5
Solve -25*u**3 + 760*u**2 + 35460*u + 67680 = 0.
-24, -2, 282/5
Factor g**3/7 - 23599*g**2/7 + 10112*g + 94384/7.
(g - 23596)*(g - 4)*(g + 1)/7
Factor -5*n**3 + 48*n**2 + 137*n + 84.
-(n - 12)*(n + 1)*(5*n + 7)
Factor -2*j**4/13 - 746*j**3/13 + 18672*j**2/13 - 11648*j + 406528/13.
-2*(j - 8)**3*(j + 397)/13
Factor -d**4 + 8934*d**3 - 19918321*d**2 - 159775656*d - 319837456.
-(d - 4471)**2*(d + 4)**2
Suppose -4*l**2 + 161728*l - 1634746624 = 0. Calculate l.
20216
What is h in h**2/8 - 601*h + 4807/8 = 0?
1, 4807
Factor 98*g**3/9 - 2436*g**2 + 415936*g/3 - 2408704/9.
2*(g - 2)*(7*g - 776)**2/9
Factor -4*i**4 - 844*i**3 + 25704*i**2.
-4*i**2*(i - 27)*(i + 238)
Factor 3*b**4 - 2556*b**3 + 552015*b**2 - 3220722*b.
3*b*(b - 423)**2*(b - 6)
Factor 2*y**3/3 - 926*y**2/3 + 9110*y/3 - 7550.
2*(y - 453)*(y - 5)**2/3
Solve -6*q**4 + 159*q**3/2 - 399*q**2/2 - 468*q + 594 = 0 for q.
-2, 1, 6, 33/4
Factor 3*r**2 + 5577*r + 99414.
3*(r + 18)*(r + 1841)
Suppose 5*i**5 + 1015*i**4 + 49925*i**3 - 165275*i**2 - 310030*i + 424360 = 0. Calculate i.
-103, -2, 1, 4
Let -3*j**3 - 1863*j**2 + 46008*j - 278640 = 0. What is j?
-645, 12
Factor 2*w**3 - 7934*w**2 + 7808702*w + 118922430.
2*(w - 1991)**2*(w + 15)
Find u such that -3*u**2 + 639*u - 3726 = 0.
6, 207
Factor 3*q**3 + 13050*q**2 - 12*q - 52200.
3*(q - 2)*(q + 2)*(q + 4350)
Let 3*v**4 + 513024*v**3 + 21933315066*v**2 + 43865091072*v + 21932289027 = 0. What is v?
-85503, -1
Find l such that -5*l**5 - 8790*l**4 - 3898205*l**3 - 30765000*l**2 - 61250000*l = 0.
-875, -4, 0
Factor -4*r**2/3 + 4468*r/3 + 7480.
-4*(r - 1122)*(r + 5)/3
Find w, given that -w**3 - 49*w**2 + 1333*w + 68413 = 0.
-43, 37
Determine u so that 2*u**2 + 121708*u + 121706 = 0.
-60853, -1
Find n such that 11*n**3 - 221*n**2/2 + 181*n - 8 = 0.
1/22, 2, 8
Solve 2*b**5 - 52*b**4 - 552*b**3 + 14608*b**2 + 30976*b = 0.
-16, -2, 0, 22
Factor -28*p**3 - 596*p**2 - 1680*p - 432.
-4*(p + 3)*(p + 18)*(7*p + 2)
Let 37*y**3/5 + 638918*y**2/5 + 2758234908*y/5 + 149091912/5 = 0. What is y?
-8634, -2/37
Factor 3*u**5/2 - 55749*u**4.
3*u**4*(u - 37166)/2
Factor -u**4/2 + 5581*u**3/2 - 30635*u**2.
-u**2*(u - 5570)*(u - 11)/2
Let -3*i**3 - 3999*i**2 + 8019*i + 12015 = 0. Calculate i.
-1335, -1, 3
Factor -6*m**2/5 + 3002184*m/5 - 375546198744/5.
-6*(m - 250182)**2/5
Let -t**4 - 351738*t**3 - 30930256897*t**2 - 61859458584*t - 30929553424 = 0. Calculate t.
-175868, -1
Factor 5*z**2 + 55810*z + 155737805.
5*(z + 5581)**2
Factor 5*l**2/3 + 18320*l/3 - 36700.
5*(l - 6)*(l + 3670)/3
Let -2*z**2 - 216*z - 5110 = 0. What is z?
-73, -35
Factor 2*w**2/5 - 125104*w + 625518/5.
2*(w - 312759)*(w - 1)/5
Let 76*j**3/7 - 7456*j**2/7 + 67664*j/7 - 7040/7 = 0. What is j?
2/19, 10, 88
Determine s, given that s**3 - 77496*s**2 + 1501407504*s = 0.
0, 38748
Determine i so that -2*i**3/11 + 266*i**2/11 + 5068*i/11 + 4800/11 = 0.
-16, -1, 150
Let -2*b**3 - 48*b**2 + 1368*b - 6048 = 0. What is b?
-42, 6, 12
Suppose -4*d**4 + 1332*d**3 - 6208*d**2 - 114624*d - 272896 = 0. Calculate d.
-4, 13, 328
Suppose -13*i**2/4 - 101*i - 31/4 = 0. Calculate i.
-31, -1/13
Solve 5*s**2/3 + 610*s/3 + 400 = 0.
-120, -2
Determine g, given that 1243225*g**3/2 - 1246570*g**2 + 13389*g/2 - 9 = 0.
3/1115, 2
Let 4*p**5 - 396*p**4 - 6324*p**3 + 1029884*p**2 - 1023168*p = 0. What is p?
-48, 0, 1, 73
Suppose 7*a**4/5 + 78329*a**3/5 + 43823397*a**2 - 6260805*a = 0. What is a?
-5595, 0, 1/7
Factor 3*b**2 - 16071*b + 64236.
3*(b - 5353)*(b - 4)
What is c in -c**5 - 173*c**4 - 6463*c**3 + 88837*c**2 - 201112*c - 296240 = 0?
-92, -1, 5, 7
Determine u so that u**4 - 36*u**3 - 3819*u**2 + 3854*u = 0.
-47, 0, 1, 82
Factor 2*n**2 - 9698*n - 87444.
2*(n - 4858)*(n + 9)
Factor 3*u**2 + 1065*u + 1062.
3*(u + 1)*(u + 354)
Find n such that -10*n**5 + 122*n**4 - 366*n**3 - 146*n**2 + 1024*n + 672 = 0.
-1, -4/5, 3, 4, 7
Factor -p**2/5 + 4594*p/5 - 280984/5.
-(p - 4532)*(p - 62)/5
Let -2*v**4/5 - 10008*v**3/5 + 20022*v**2/5 - 10012*v/5 = 0. Calculate v.
-5006, 0, 1
Find z such that -z**4/4 - 827*z**3/4 + 7545*z**2/4 + 17567*z/4 + 2299 = 0.
-836, -1, 11
Determine x so that 4*x**5/7 - 8480*x**4/7 + 645676*x**3 - 26813848*x**2/7 - 38656*x + 20429696 = 0.
-2, 4, 1057
Factor q**3 + 540*q**2 - 541*q.
q*(q - 1)*(q + 541)
Let -3*l**4/8 - 89*l**3/2 + 50923*l**2/8 + 10702*l + 8585/2 = 0. Calculate l.
-202, -1, -2/3, 85
Solve -625*j**5 - 50525*j**4 + 8096*j**3 - 324*j**2 = 0.
-81, 0, 2/25
Let m**5 + 348*m**4 - 11830*m**3 + 124432*m**2 - 369171*m - 505780 = 0. Calculate m.
-380, -1, 11
Factor -a**2/11 + 108402*a/11 - 541985/11.
-(a - 108397)*(a - 5)/11
Factor z**2/2 + 12742*z + 81179282.
(z + 12742)**2/2
Solve -2*k**5 - 172*k**4 - 958*k**3 + 172*k**2 + 960*k = 0 for k.
-80, -6, -1, 0, 1
Factor 4*p**2/7 + 10456*p + 73188/7.
4*(p + 1)*(p + 18297)/7
Suppose -3*h**3 + 4899*h**2 - 201021*h + 883005 = 0. Calculate h.
5, 37, 1591
Find i such that -2*i**3/13 + 1536944*i**2/13 - 3073882*i/13 + 1536940/13 = 0.
1, 768470
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 2*z**2.
-z**2
Collect the terms in 22 - 49 + 27 - 2*a.
-2*a
Collect the terms in -h**3 - 4*h + h**3 + 17*h - 6*h**3.
-6*h**3 + 13*h
Collect the terms in -6 + 6 + 15*a**2.
15*a**2
Collect the terms in 9*g**2 - 5*g**2 - 8*g**2 - 24*g.
-4*g**2 - 24*g
Collect the terms in 16*o**2 - 16*o**2 + 2*o**3 - o**3.
o**3
Collect the terms in 4*a**3 + 9*a**3 - 14*a**3.
-a**3
Collect the terms in 6 + 0 + 0 - 2*v - 7.
-2*v - 1
Collect the terms in 3*z**2 + 3*z**2 + 7*z**2 + 5*z**2.
18*z**2
Collect the terms in 8*r**2 + 37 - 10*r**2 - 37.
-2*r**2
Collect the terms in 168336*o - 336673*o + 168335*o.
-2*o
Collect the terms in -84*i**3 + 131*i**3 + 219*i**3.
266*i**3
Collect the terms in -8*x**3 - 2*x**3 - 16*x**3.
-26*x**3
Collect the terms in 0*j + 3*j - 4*j + 4*j.
3*j
Collect the terms in 2*l**2 - 2*l**2 + 0*l**2 + 8*l**3.
8*l**3
Collect the terms in -64*f**2 + 134*f**2 - 75*f**2.
-5*f**2
Collect the terms in 88*z + 90*z - 59*z**3 - 178*z + 63*z**3.
4*z**3
Collect the terms in -2*u - 9*u - 5*u + 13*u.
-3*u
Collect the terms in -9*h**3 - 7*h**3 - 30*h**3.
-46*h**3
Collect the terms in 22061 + 22067 - n**3 + 3*n**3 - 44128.
2*n**3
Collect the terms in 1 + 74*m**2 - 113*m**2 - 1.
-39*m**2
Collect the terms in -800*r**2 - 1293*r**2 + 80*r**2.
-2013*r**2
Collect the terms in 1 + 1 - 3*l - 3 + 16*l.
13*l - 1
Collect the terms in 20*k + 30*k + 17*k - 2 - 3*k.
64*k - 2
Collect the terms in 6*l**3 + 3*l**3 - l**3.
8*l**3
Collect the terms in 1 - 36*a - 1.
-36*a
Collect the terms in 110*g + 103*g + 104*g - 418*g + 103*g.
2*g
Collect the terms in -q + q + 2*q + 0*q.
2*q
Collect the terms in 71*d - 271*d + 64*d + 66*d + 65*d.
-5*d
Collect the terms in 167*r + 97*r**2 - 167*r.
97*r**2
Collect the terms in -10*c + 3*c - 14*c.
-21*c
Collect the terms in -f**2 - 2*f**2 - 8 - 29 - 5.
-3*f**2 - 42
Collect the terms in -24 + 9 - 2*l**2 + 15.
-2*l**2
Collect the terms in -40*h**3 - 31*h**3 + 73*h**3.
2*h**3
Collect the terms in -32*i**3 - 22*i**3 + 52*i**3.
-2*i**3
Collect the terms in 28*a**3 - 116*a**3 - 71*a**3.
-159*a**3
Collect the terms in -2*m + 10*m - m - m.
6*m
Collect the terms in 68*z**2 - 36*z**2 - 28*z**2.
4*z**2
Collect the terms in 13*m**2 + 0 + 1 - 1.
13*m**2
Collect the terms in -3*y**3 - 6070 + 6070.
-3*y**3
Collect the terms in t**3 - 28231 + 28231.
t**3
Collect the terms in -3*n**3 + 19*n**3 - 6*n**3 - 3*n**3.
7*n**3
Collect the terms in -643*y**2 - 631*y**2 + 1269*y**2.
-5*y**2
Collect the terms in -273*s - 275*s - 268*s + 818*s.
2*s
Collect the terms in -7*k**2 - 5*k**2 - k**2 - 24*k**2.
-37*k**2
Collect the terms in 55*m**3 + m**2 - 1 + 1 + 52*m**3.
107*m**3 + m**2
Collect the terms in -3*y**2 + 5*y**2 - 517 + 1005 - 488.
2*y**2
Collect the terms in 8782750*r + 3*r**2 - 8782750*r.
3*r**2
Collect the terms in -1039*f**2 + 1039*f**2 - 15*f**3 + 6*f**3 + 7*f**3.
-2*f**3
Collect the terms in -r - 5*r - 7*r.
-13*r
Collect the terms in 0 - 2 + 0 + 0*u**2 + 2*u**2.
2*u**2 - 2
Collect the terms in 2550 - 2550 + p**2.
p**2
Collect the terms in 1 + 6*x - 6*x + 17*x**2 + 255*x**2.
272*x**2 + 1
Collect the terms in -44*x - x**3 - 27*x - 54*x.
-x**3 - 125*x
Collect the terms in -151*s - 107*s + 88*s.
-170*s
Collect the terms in 10*a - 47*a + 17*a + 18*a.
-2*a
Collect the terms in 2 - 342*s + 347*s + 1.
5*s + 3
Collect the terms in -5 + 0*l**3 - 7 + 10 + 4*l**3.
4*l**3 - 2
Collect the terms in 5*m**2 - 5*m**2 - 217*m**3.
-217*m**3
Collect the terms in 2*u**2 - 2*u**2 - 110*u**3 + 111*u**3.
u**3
Collect the terms in 3*p**3 - p**3 - 4*p**3 + 5*p**3.
3*p**3
Collect the terms in 3*y**2 - 6*y**2 + 8*y**2 + 11*y**2.
16*y**2
Collect the terms in -34*q**3 + 29*q**3 - 74*q**3 - 36*q**3.
-115*q**3
Collect the terms in 4*z**3 - z**3 + 3*z**3.
6*z**3
Collect the terms in -10*y - 2*y**2 + 6*y - 10*y.
-2*y**2 - 14*y
Collect the terms in -93*o + 118*o + 119*o.
144*o
Collect the terms in -1235*r**2 + 616*r**2 + 618*r**2.
-r**2
Collect the terms in -555*h**3 - 524*h**3 + 1076*h**3.
-3*h**3
Collect the terms in -48*c**3 - 7*c**3 - 129*c**3 - 20*c**3.
-204*c**3
Collect the terms in -4 - 4 - 4 - 12 - 2*z.
-2*z - 24
Collect the terms in -31*w**3 - 27*w**3 + 57*w**3.
-w**3
Collect the terms in h**3 + 11 - 19*h**3 - 11.
-18*h**3
Collect the terms in 26*c**3 - 16*c**3 - 21*c**3.
-11*c**3
Collect the terms in 867*z - 1 + 2 - 1.
867*z
Collect the terms in -v**3 + 1 + 7 - 7 - 1.
-v**3
Collect the terms in -854705 + 2*m**2 + 854705.
2*m**2
Collect the terms in -2848 + 44*a**2 + 2848.
44*a**2
Collect the terms in -370*c**3 - 371*c**3 - 366*c**3 + 1110*c**3.
3*c**3
Collect the terms in -34 + 71 - 37 + 6*l.
6*l
Collect the terms in -13 + 8 - 68*r + 5.
-68*r
Collect the terms in -5*q**3 - 39*q**2 + 41*q**2 - 9*q**3.
-14*q**3 + 2*q**2
Collect the terms in -34*q**2 - 59*q**2 + 28*q**2.
-65*q**2
Collect the terms in o**2 + 34*o**3 - o**2 - 66*o**3 + 33*o**3.
o**3
Collect the terms in 3*v**2 - 127 + 0*v**2 + 127.
3*v**2
Collect the terms in -14*d + 2*d + 3*d.
-9*d
Collect the terms in -590*l**2 - l**3 + 590*l**2.
-l**3
Collect the terms in 60090*r - 120182*r + r**2 + 60092*r.
r**2
Collect the terms in 3 - 3 - 86*h**2 + 21*h**2.
-65*h**2
Collect the terms in -1 + 1 + 24*a**2 + 0*a**2.
24*a**2
Collect the terms in -8*u - 21*u + 35*u + 70*u.
76*u
Collect the terms in 4*p - 6*p + 0*p - 2 + 0*p - 7*p.
-9*p - 2
Collect the terms in 32*y**2 - 10*y**3 - 15*y**2 - 17*y**2.
-10*y**3
Collect the terms in 175*q - 59*q - 61*q - 17*q**3 - 55*q.
-17*q**3
Collect the terms in -59*w**2 + 109*w**2 - 54*w**2.
-4*w**2
Collect the terms in 2*f**3 + 4*f**3 - 2*f**3 - 2*f**3.
2*f**3
Collect the terms in z - 9*z + 7*z.
-z
Collect the terms in 6*u - 9*u - 9*u - 3*u.
-15*u
Collect the terms in 24*b**2 + 22 - 22.
24*b**2
Collect the terms in -158*t**2 + 311*t**2 - 154*t**2.
-t**2
Collect the terms in -1181 + 1181 - 4*z.
-4*z
Collect the terms in 7*h - 7*h + 7*h.
7*h
Collect the terms in 28*b - 99*b + 34*b - 14 + 34*b.
-3*b - 14
Collect the terms in -2*r - 4*r - 8*r.
-14*r
Collect the terms in 2*k + 6*k - 2*k + 3*k**2 - 6*k.
3*k**2
Collect the terms in f - 19*f**3 - f - 198*f**3.
-217*f**3
Collect the terms in 123*y**2 - 5*y**2 - 21*y**2.
97*y**2
Collect the terms in -10*y**3 + 0*y**3 - 6*y**3 + 12*y**3.
-4*y**3
Collect the terms in -15*g**2 - 10*g + 11*g + 5*g**2 - 27*g**2.
-37*g**2 + g
Collect the terms in 0*j + 2*j - 4 - 5*j.
-3*j - 4
Collect the terms in 28*y + 5*y + 35*y.
68*y
Collect the terms in -4*z + 116*z**3 + 4*z.
116*z**3
Collect the terms in -25 - 24 + 80 - r - 31.
-r
Collect the terms in -46*y - 49*y + 182*y - 37*y - 36*y.
14*y
Collect the terms in -87*m**2 - 1 + 110*m**2 + 1.
23*m**2
Collect the terms in -154 + 70*n**3 + 154.
70*n**3
Collect the terms in -71*v**3 + 77*v**3 - 117*v**3 - 89*v**3.
-200*v**3
Collect the terms in 13255 - 3*n**3 - 13255.
-3*n**3
Collect the terms in 25*n**3 - n**2 - 23*n**3 + n**2.
2*n**3
Collect the terms in 3*n**3 - 3*n**3 - 2*n**3 + 12*n**3.
10*n**3
Collect the terms in 11*m + 16*m - 28*m.
-m
Collect the terms in -434*y**3 + 222*y**3 + 215*y**3.
3*y**3
Collect the terms in 21*h - 41*h + 16*h.
-4*h
Collect the terms in -20*w**2 - 11*w**2 + 11*w**2.
-20*w**2
Collect the terms in -6*v - 4*v - 6*v - 6*v.
-22*v
Collect the terms in -4*z + 3*z + 2*z + 2*z - 2*z.
z
Collect the terms in 9*y - 9 - 49*y + 37*y.
-3*y - 9
Collect the terms in -4*y + 43*y**2 - 2*y + 6*y.
43*y**2
Collect the terms in 13*f**3 + 3*f**3 + 2*f**3 + 9*f**3.
27*f**3
Collect the terms in 12*i**3 - 19*i**3 + 10*i**3.
3*i**3
Collect the terms in -169*f**2 - 9 + 82*f**2 + 2*f**3 + 87*f**2.
2*f**3 - 9
Collect the terms in -116*g**3 + 48*g**3 - 35*g**3 - 563*g**3.
-666*g**3
Collect the terms in -149785*y**2 + 74900*y**2 + 74893*y**2.
8*y**2
Collect the terms in 14*y**2 - 13*y**2 - 10*y**2.
-9*y**2
Collect the terms in 10 - 264*a**2 - 10.
-264*a**2
Collect the terms in -6 + 4*x - 7*x + 7*x - 6*x.
-2*x - 6
Collect the terms in 7*m + 89 - 170 + 81.
7*m
Collect the terms in 54 + 5*s - 54 + 5*s.
10*s
Collect the terms in -3*h + 0*h + 5*h + 5*h - 5*h.
2*h
Collect the terms in 7*u + 12*u + 6*u - 22*u.
3*u
Collect the terms in -2*c**3 + 224*c - 44 + 44.
-2*c**3 + 224*c
Collect the terms in 0*l**2 - 5*l**2 + 3*l**2 + 3*l.
-2*l**2 + 3*l
Collect the terms in 171*t - 80*t - 91*t + 4*t**2.
4*t**2
Collect the terms in 4*o**3 + 11*o**3
|
{
"pile_set_name": "DM Mathematics"
}
|
12*c**2 - 26*c - 5. List the prime factors of m(5).
2, 3, 5
List the prime factors of (-4456)/12*-1 + (-16)/12.
2, 5, 37
Let z(a) be the second derivative of 41*a**5/20 - a**3/6 - 20*a. List the prime factors of z(1).
2, 5
Let v(z) = 6*z**2 - 4*z - 2. Let b be v(-4). Suppose 2*w - 9 = 3. What are the prime factors of b/4 + w/4?
29
Let j(d) = -760*d + 8. Let y be j(-1). Suppose -y = -3*o + 2*g, o = 4*o - 4*g - 768. What are the prime factors of o?
2
Let r(l) = l**3 + 6*l**2 + 8*l + 166. Let v(x) = 2*x**3 + 11*x**2 + 15*x + 331. Let p(k) = -11*r(k) + 6*v(k). What are the prime factors of p(0)?
2, 5
Suppose 17564 = 19*c - 8580. What are the prime factors of c?
2, 43
Let f(l) = 62*l + 1532. List the prime factors of f(0).
2, 383
Suppose -78 - 50 = -4*p - 2*k, 169 = 5*p - 2*k. Let v = 80 - p. List the prime factors of v.
47
Let d(i) = -i**2 - 10*i - 4. Let f be d(-9). Suppose f*y - 16 = -2*s, 3*y = -2*y - 4*s + 12. Suppose 2*v = g - y, 1 = v - 2*v. List the prime factors of g.
2
Let z be 3*(-2)/6*5. Let l(o) = -3*o + 1. What are the prime factors of l(z)?
2
Let f = 4 + -2. Suppose -f*k = k. Suppose k*d - 3*d + 55 = -2*s, 5*d + 4*s = 55. What are the prime factors of d?
3, 5
Let f be (-16)/((-7 + 3)/(-4)). Let c = f + 12. List the prime factors of 5*(3 - 23)/c.
5
Let f(o) = -o**3 + 11*o**2 - 15*o - 9. Let k = -17 - -26. Let x be f(k). Let u = x + 36. List the prime factors of u.
2, 3
Let x(g) = -g**2 + 14*g + 20. Let k be x(15). Suppose 0 = j - k - 15. List the prime factors of 1212/j + (-2)/(-5).
61
Let d(x) = x**2 - 15*x - 99. List the prime factors of d(-8).
5, 17
Let p(x) = x**2 - 7*x - 37. Let c be p(13). Suppose -4*v = -0*v + 80. Let s = c + v. What are the prime factors of s?
3, 7
List the prime factors of 110/(-4)*((-792)/10)/11.
2, 3, 11
Let s(o) = -o**2 + o. Let m be s(1). Let p be (-3)/(12/(-76)) + m. Suppose -16 - p = -5*g. List the prime factors of g.
7
Let t(j) = j**3 - 4*j**2 + 3*j - 1. Let p be t(2). Let f(y) = -y**3 + 2*y + 2. List the prime factors of f(p).
23
Let m = 1226 - -182. List the prime factors of m.
2, 11
Suppose 2*o + 0*o + 1651 = 5*c, 4*c - 3*o = 1325. What are the prime factors of c?
7, 47
Let y(u) be the second derivative of u**4/12 - u**3 + 26*u. Suppose 0*p + 8 = p. What are the prime factors of y(p)?
2
Let a(n) be the first derivative of -n**2/2 + 2*n + 2. Let c be a(-3). Suppose -3*j = c*u - 173, -5*u - 6*j + j + 175 = 0. What are the prime factors of u?
2, 17
Suppose 58*d - 59*d + 3 = 0. Let q(n) = 9*n**3 + n**2 + 3*n - 4. What are the prime factors of q(d)?
257
Let q(d) = -d**2 - 18*d + 6. Let x be q(-11). Let n = 73 + x. What are the prime factors of n?
2, 3, 13
Suppose 4*m - 24 = -2*p, -5*p + 0*p + 4*m = -18. Suppose -p = -6*j + 3*j. Suppose -5*u = 4*n - 105, 6*n - j*n = -u + 21. What are the prime factors of u?
3, 7
Let p(t) = -t**3 + 9*t**2 - 11*t + 16. Let k be p(8). Let v(z) = -16*z - 32. List the prime factors of v(k).
2, 3
Let p(g) = -8 + 3*g**3 + 20 - 3*g**2 - 2*g - 11 + 3*g. Suppose 2*b - 2 - 2 = 0, -4*b + 23 = 5*o. What are the prime factors of p(o)?
2, 29
Suppose -3*t + 2*m = 263, 2*t + 3*m = -2*t - 328. Let q = 148 + t. What are the prime factors of q?
3, 7
Let f(z) = z**2 + 9*z - 10. Let w be f(7). Let b = 1 + 2. Suppose -b*s + 9 + w = 0. List the prime factors of s.
37
Let r = -22 - -26. Suppose g = -r*j + 156, 2*j = -5*g + 55 + 5. What are the prime factors of j?
2, 5
Let f be 53 + ((-20)/(-6) - 1/3). Let j = 14 + f. List the prime factors of j.
2, 5, 7
Let a be -126 - (-2 + 7 + (-6)/2). Let d = -63 - a. What are the prime factors of d?
5, 13
Let i = 11 + -9. Suppose 4*v - v - i*z - 189 = 0, 5*v = -z + 302. What are the prime factors of v?
61
Suppose 2*m - 5*k + 159 = 0, 6*m = 2*m + 5*k - 343. Let f = m + 175. List the prime factors of f.
83
Suppose 4*z - 16 = -4*o, 3*z + o = -0*o + 14. Let d = -10 + 13. Let r = z - d. What are the prime factors of r?
2
What are the prime factors of 1921 + -2 + 52/13?
3, 641
Suppose -2*s - 2*k = -202, -9*k + 289 = 3*s - 13*k. Let v = 131 + s. List the prime factors of v.
2, 5, 23
List the prime factors of (-2)/(-4) - ((-13836)/8 + -5).
5, 347
Let a(l) = 4*l**2 + 4 + 2 - 28*l + 28*l. What are the prime factors of a(3)?
2, 3, 7
Let v = 32 + 0. Suppose -88 = -j - v. List the prime factors of j.
2, 7
Suppose 2*f + 118 - 2342 = 0. What are the prime factors of f?
2, 139
Let d(a) = -a**3 - 10*a**2 - 13*a + 9. What are the prime factors of d(-11)?
3, 7, 13
Let k(q) = 92*q - 587. What are the prime factors of k(56)?
5, 11, 83
Let g = 36 + -25. Let t = g + -11. Suppose 5*x - p = 94, -3*p + 3 = -t*p. List the prime factors of x.
19
Let m(d) = -98*d**2 - 2*d - 1. Let o be m(-1). Let z = -60 - o. What are the prime factors of z?
37
Suppose -2*k + 32 = 5*p - 20, -2*k + 40 = 4*p. Let v = p + -29. Let l = -10 - v. What are the prime factors of l?
7
Suppose 3921 = 32*q - 12367. What are the prime factors of q?
509
Let r(h) = 26*h**2 + 130*h + 18. List the prime factors of r(-8).
2, 3, 107
Suppose 5*d + y - 740 = 0, 0*y = 4*d + y - 592. Suppose -60*z - d = -64*z. What are the prime factors of z?
37
Let f(r) = 2*r**2 + 4*r - 2*r - 5*r + 4. What are the prime factors of f(7)?
3
Let f(s) = -s**2 - 3*s + 27. Let n be f(-17). Let d = n - -323. What are the prime factors of d?
2, 7
Suppose -d = -m + 2 - 1, -5*m - 2*d = 16. What are the prime factors of -3 - (-2 - (13 - m))?
2, 7
Let f(m) = m**3 + 12*m**2 - 2*m - 10. Let y(a) = 4*a + 2. Let p be y(-3). List the prime factors of f(p).
2, 3, 5, 7
Suppose -3*p + 2515 + 2723 = 0. List the prime factors of p.
2, 3, 97
List the prime factors of 7/(-14) + 6898/4.
2, 431
Let i = 712 - 496. What are the prime factors of i?
2, 3
Let o(t) = 5*t + 4. Suppose -4*v - 3*r = -26 + 97, 4*v - 3*r + 41 = 0. Let z be (1 - (-36)/(-28))*v. List the prime factors of o(z).
2, 3
Let t be 0 + 0 + -3*4. Suppose 0 = -5*v + 15, -m + 5*v = m - 61. Let y = m + t. What are the prime factors of y?
2, 13
Let h = -64 + 166. Suppose h = -21*w + 24*w. List the prime factors of w.
2, 17
Let s(w) = -w - 8*w**3 + 37 + 13*w**3 - 6*w**3 - 9*w**2. List the prime factors of s(-9).
2, 23
Suppose -10*r + 8*r - 2628 = -4*s, -4*s + 2640 = -5*r. Suppose 4*f - z - 874 = 0, -3*f + z + s = -0*f. What are the prime factors of f?
3, 73
Let s(y) = -4*y**3 - 3*y**2 - y + 1. Let m be s(-2). Let w = 23 - m. Suppose 3*j + 3*k = 72, w = -5*j + 5*k - 0*k + 100. List the prime factors of j.
2, 11
List the prime factors of 1*(1655/(-15) + 5)*-3.
2, 79
Suppose 16*z + 655 = 5823. What are the prime factors of z?
17, 19
What are the prime factors of 141/(-235) + ((-8208)/10)/(-3)?
3, 7, 13
Suppose -19*i + 18*i + 274 = 0. Suppose 3*n - i = 209. List the prime factors of n.
7, 23
Suppose -3*d - 4*y = -9, 3*d + 0*y = 4*y + 9. List the prime factors of d.
3
Let v(x) be the third derivative of x**5/60 + 3*x**4/8 - 3*x**3/2 - 16*x**2. List the prime factors of v(-11).
13
List the prime factors of 40476/42 + (-8)/(-28).
2, 241
Let t be 14/((-4 - -4) + 1). Let k = t - -150. List the prime factors of k.
2, 41
Let d(l) = l**3 + 11*l**2 + 6*l - 40. What are the prime factors of d(-8)?
2, 13
Let h(y) = -7*y + 5. Let c(f) = -f + 5. Let t be c(0). Suppose -t*z = -0*z + 20. List the prime factors of h(z).
3, 11
Let r = 25 + -59. Let i = -31 - r. What are the prime factors of i?
3
Let s(m) = 110*m**2 + 37*m. List the prime factors of s(-4).
2, 13, 31
Let s = -11083 - -15669. List the prime factors of s.
2, 2293
Let k = -263 + 408. Suppose 0 = 9*w - 4*w - k. List the prime factors of w.
29
Let o = -42 + 16. Let s = o + 30. Suppose s*a = -4 + 108. What are the prime factors of a?
2, 13
Let t = -102 - -144. List the prime factors of t.
2, 3, 7
Suppose -247*j + 4956 = -243*j. List the prime factors of j.
3, 7, 59
Suppose -4*o - 570 + 3694 = 0. Suppose -211 = 3*s - o. What are the prime factors of s?
2, 5, 19
Let g(r) = -40*r + 10*r - 2 + 10 - 39. What are the prime factors of g(-4)?
89
What are the prime factors of (-989902)/(-354) + 2/(-6)?
2, 3, 233
Let l(c) = 2*c**2 + 6*c + 4. Let m be l(-4). Suppose -h - 3*h = m, 4*w = 5*h + 39. List the prime factors of (w - 16)*(-1 + -5).
2, 3, 5
Suppose 3*m - 51 - 13 = -2*c, -4*c = 2*m - 40. Let u be (-9 - -1)/(m/55). Let y = -10 - u. List the prime factors of y.
2, 5
Let d
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the fourth biggest value in 2/3, 0.2, -5, a?
-5
Let x be 2/4 - 2/(-8). Suppose -5*z - v - 72 = 3*v, -2*v = z + 18. Let i be ((-8)/z)/(4/(-30)). Which is the third smallest value? (a) i (b) x (c) -0.4
b
Let z = 7 - 12. Let r be 6/(-8) - (-115)/20. What is the second biggest value in r, z, 1/3?
1/3
Let j = -47 - -43. Which is the second biggest value? (a) -9 (b) -1 (c) j
c
Let v = 40 + -23. Let y = 14 - v. What is the biggest value in 4, y, -2/15?
4
Let a = -10 - -13. What is the third biggest value in -0.2, a, -0.5?
-0.5
Suppose 4*r + 6 + 6 = -4*w, 0 = -4*r - 2*w - 12. Let l be 0*1/(2/1). Which is the third smallest value? (a) l (b) 2 (c) r
b
Suppose 10*v + 2 = 8*v. Let o be (v/(-1))/(6 - -1). Let c = 1.94 + -2. What is the second biggest value in c, o, 4?
o
Let u = -9 - -9.1. Let n = 1 - 2. Let q be ((-5)/(-3))/n + 1. Which is the biggest value? (a) u (b) q (c) -4
a
Let h = 2/15 + -3/10. Which is the third smallest value? (a) 5 (b) h (c) 0.4 (d) 1/7
c
Let z = 20 + -18. Which is the second biggest value? (a) -5/4 (b) 5 (c) z
c
Let l = 3.35 + -0.35. Let c = -1.1 + 5.1. Let m = 4 + -2. What is the third smallest value in l, c, m?
c
Let z be (-1)/1 - 9/18. Which is the smallest value? (a) 0.1 (b) -0.5 (c) z
c
Let c = 15.8 - 15.4. What is the smallest value in 17, 1, c, -1?
-1
Let k = -83.7 + 84. Which is the second biggest value? (a) -3/4 (b) 3 (c) k (d) 5
b
Let t = -1 + 1.1. Let n = 7 - 6.6. Let r = n + t. What is the biggest value in 4, r, -2/15?
4
Let v = -0.24 - -0.04. Which is the third smallest value? (a) 0.1 (b) v (c) -2/13 (d) 0.2
a
Suppose 0 = y + 3*d + 12, -2 - 18 = 4*y + 5*d. Suppose -4*x - x - 15 = y. Let p be (x - -4)*(-2)/5. What is the smallest value in p, 3, 0.4?
p
Let r = -1.05 + -3.95. Which is the second biggest value? (a) -42 (b) r (c) -5/3 (d) -1/3
c
Suppose 4*x = -0*t + t, x + t = 0. Let k be 21/6 - (-2)/((-4)/6). What is the third smallest value in k, -0.4, x?
k
Let o = -2.3 + 2.5. Let i = -0.2 + 1.2. Which is the second smallest value? (a) i (b) o (c) 2/9
c
Let c = -1 + 1. Let m = c - -0.1. Let v = 508/11 + -46. What is the biggest value in v, 1, m?
1
Let p be (-4)/6 - 2/6. Let w be (1 + -6)*(-1)/2. Let t = -11/4 + w. Which is the smallest value? (a) p (b) t (c) 1/7
a
Let i = 0.138 + -0.538. Let p = 25/33 - 12/11. Which is the second smallest value? (a) 3 (b) i (c) p
c
Let q = 19381 + -96591/5. Let h = 63 - q. Let k be (-110)/33 - -4*1. Which is the second smallest value? (a) k (b) h (c) -1
b
Let t = -1 - -2. Let o = 1.5 - t. Let k = 3 + -3.2. What is the third biggest value in 4/5, k, o?
k
Suppose 2*p - 4*d - 18 = 0, p + d + 2*d = -6. Let w be (-3)/(-1) + (-602)/204. Let q = -2/17 - w. Which is the third biggest value? (a) q (b) -6 (c) p
b
Let m = -34.9 - -35. What is the third smallest value in 4, m, -5?
4
Let k = 5.4 - 2.4. Let z be 758/4*3/6. Let t = -94 + z. Which is the smallest value? (a) t (b) k (c) 0.5
c
Let u = 1.5 - 2. What is the third smallest value in u, -5, -3/4?
u
Let l = 13 - 23/2. Let w = 3.8 - 4. Let o = 2 - 13/5. Which is the third biggest value? (a) l (b) o (c) w
b
Let k = -0.7 + -0.3. Let d = -1.1 + 0.1. Let m = -1 - d. Which is the second biggest value? (a) 2/3 (b) m (c) k
b
Let l = -44625/4 + 11064. Let c = -93 - l. What is the biggest value in c, -5, 1/6?
1/6
Let n = -6 + 2. Let p = -2 - n. Let j be 93/33 - (0 - -3). What is the second smallest value in -1, j, p?
j
Let k = -17 - -27. Let q = 5 - k. Let g be (-1)/2 + (-18)/(-28). What is the second smallest value in q, g, 5?
g
Let i = -33.5 - -33. Which is the second biggest value? (a) i (b) -2/9 (c) -5
a
Let m = 4 + -3.8. Let q = -4.2 - -6. Let b = m + q. What is the smallest value in -2/13, 4, b?
-2/13
Suppose -5*i - 80 = 4*z - 31, 5*z + 3*i + 45 = 0. Which is the second biggest value? (a) 1 (b) z (c) -2
c
Let x be 12/9 - 4/(-6). Let j be 1 + 0 - 12/x. Let l = -0.4 - -0.1. Which is the third biggest value? (a) 3 (b) j (c) l
b
Let r = 4.67 - 4.4. Let a = r - -2.13. Let b = a + -0.4. What is the biggest value in 4, -1, b?
4
Let n = -33/4 + 17/2. Let g = -7 - -11. Suppose 3*v - 5 = g. Which is the second smallest value? (a) n (b) v (c) -3
a
Let x = 4.79 + -2.8. Let f = 0.01 + x. What is the third biggest value in f, -0.4, 4?
-0.4
Let p = -33.99 + 32. Let d = p - 0.01. Let q = d - 1. What is the second biggest value in 3/5, 2, q?
3/5
Let m be (-4 + 25/(-5))/((-66)/(-4)). What is the third smallest value in -3, -3/7, m, -0.2?
-3/7
Let l = -124.99 - -124. Let g = l + -0.01. Which is the smallest value? (a) 5 (b) g (c) -2
c
Let q = 3 + -14. Let h = 6 + q. What is the third biggest value in -2/3, h, 1/2?
h
Let n = -11.9 + 1.9. Let i = n + 9. Which is the third biggest value? (a) 4/3 (b) 0.2 (c) i
c
Let h = -21.4 - -18. Let p = -3 - h. Which is the biggest value? (a) -1 (b) p (c) -0.1
b
Suppose 2*b - 15 = 5*b, b = 4*r - 21. What is the third biggest value in 0, -8, r?
-8
Let d be (10 + -13)*(-5)/(-3). What is the fourth smallest value in d, 4/3, -4, -3?
4/3
Let j = -0.24 + 7.24. Let g = 2 - j. What is the second smallest value in 3, 5, g?
3
Let b = -18.5 + 20. Let p = -1.5 + b. What is the third biggest value in 0.5, -1, p?
-1
Let n = -39 - -41. Which is the second biggest value? (a) n (b) -4 (c) -1
c
Let x = 19.71 - 26.6. Let n = -0.11 + x. Let l = n - -8. What is the third smallest value in -1, l, 0.2?
l
Let j be (3/6)/((-7)/4). Let g = -997/5 - -200. What is the biggest value in 5, j, g?
5
Let k be (-2 + (-19)/(-10))*-2. Suppose -3*s - 2*s - 130 = 0. Let n = s + 180/7. What is the second smallest value in -1/5, n, k?
-1/5
Let i be 4 + (0/(-4) - 0). Suppose -2*n - 5 = -c, 2*n = -2*n - 4*c + 20. Let j = -4.02 + 0.02. What is the third smallest value in n, j, i?
i
Let b be 6/(-10) - (-33)/30. Let g = 5 - 7. What is the biggest value in b, g, 2?
2
Let d be (-3)/(-4)*(-5)/(-3). What is the second smallest value in 2, -1/3, d?
d
Suppose -2*i - 4*w + 17 = -w, -3*i + 3*w = 12. Suppose 0*m - m - i = 0. What is the third biggest value in -4/7, -4, m?
-4
Let i = 261 - 237.4. Let h = 29 - i. Let m = 5 - h. Which is the smallest value? (a) m (b) 3/8 (c) -5
c
Let f be 1/12 - (-6)/9. Let x be -8 + 3 + 2*5. Which is the third smallest value? (a) 3/8 (b) f (c) x
c
Let q = 5 - 7/2. Suppose -u - 5 = -3*l + 9, 5*l = -3*u. Which is the third biggest value? (a) 1 (b) l (c) q
a
Let q = 1.6 + -1.2. What is the third smallest value in -5, q, -2/5?
q
Let w = -81 - -159/2. Let a = -1 - -1. What is the third smallest value in w, a, 3?
3
Let n = 0.8 - 0.3. Suppose 3*o + 60 = 5*t - 24, 0 = -4*t + 2*o + 66. Let k be t/20 + 49/(-76). What is the second biggest value in n, k, 5?
n
Let u = 26.9 + -27. Let q = -2.5 - -0.5. What is the third smallest value in u, 0, q?
0
Let h = -1 + 0. Let n be 18/(-27)*(-12)/14. What is the second biggest value in 2, h, n?
n
Let u be 16/(-6)*(-11062)/(-14). Let a = 2108 + u. Let z = 9/7 - a. What is the third smallest value in -1, z, 0.1?
z
Let k = 2 + 6. Let w = k - 8.09. Let v = w - 0.91. What is the second biggest value in v, 3, -3/2?
v
Let v = 0.11 + -0.31. Let f be (-3)/6 + 4/2. What is the second biggest value in v, f, 2?
f
Let x = -2.017 + 0.017. Which is the fourth smallest value? (a) 2/5 (b) x (c) 5 (d) -5
c
Let w = 6.6 - 3.6. Which is the second smallest value? (a) -1 (b) 0.2 (c) w (d) -2
a
Let l(n) = 3*n - 17. Let m be l(5). Which is the fourth smallest value? (a) -0.4 (b) 5 (c) m (d) 2
b
Suppose 0 = -3*r + 2*r - 18. Let n = -13 - r. Suppose 5*o + 4 + 1 = n*a, -8 = 5*o - 4*a. What is the second biggest value in o, 4, -2/13?
-2/13
Let h = -0.26 + -0.14. Let d = -0.3 - 1.7. Let z be (-2)/(-7) - 25/14. What is the second biggest value in h, z, d?
z
Let s = -0.39 - 0.01. Suppose -2*u + 5*q - 11 = 0, -u - 4*q = -15 + 1. Which is the third smallest value? (a) -1 (b) s (c) u
c
Let p be 0 + -10*2/(-4). Let m be 0 - 75/(p + -2). Let l = 51/2 + m. Which is the third biggest value? (a) l (b) -2 (c) -0.3
b
Let s = -1 - 2. Let k = 0.094 + -5.194. Let d = -0.1 - k. What is the biggest value in -4, d, s?
d
Let f be (-2 + 1)/(1/(-3)). Let j(t) = -t**2 + 4*t. Let i be j(f). Let v be (i/(-18))/((-2)/(-4)). Which is the second smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
-5)*b*b**(2/7))**(1/39) assuming b is positive.
b**(118/819)
Simplify ((t/(t/(t**(-1/6)*t*t)))/(t*t**(2/11)))/((t*t*t/(t/t**(-1/3)))/(t*t**(3/4))) assuming t is positive.
t**(97/132)
Simplify (j**(3/14)/j)**(-7/6)/(j/j**(2/15)*j**4) assuming j is positive.
j**(-79/20)
Simplify (i/(i*i*i*i/(i*i**(-3)/i))*i*i/(((i**0/i)/i)/i)*i)/(i**(2/7)*i**12) assuming i is positive.
i**(-86/7)
Simplify l**24*l**(-4/17)*(l/(l**2*l)*l)**11 assuming l is positive.
l**(217/17)
Simplify (l*(l**(1/4)/l)/l)/l**(-6/7)*(l/(l/(l*l**(1/13)))*l)/((l*l**(5/2))/l*l) assuming l is positive.
l**(-479/364)
Simplify u**(-9/2)*((u/((u/(u*u/(u*u*u**(1/7))))/u))/u)/u*u*u*(u**(-3/11))**32 assuming u is positive.
u**(-1905/154)
Simplify (((y**(1/4)*y)**(-4/7))**26)**10 assuming y is positive.
y**(-1300/7)
Simplify ((g**(-7/6)*g)/((g*g**(-2/151))/g))/(g*g**(1/13))**(5/12) assuming g is positive.
g**(-1182/1963)
Simplify ((l**(1/8)*l**(-2/13))**27)**1 assuming l is positive.
l**(-81/104)
Simplify ((v/v**4*v*v*v/v**8*v*v)/((v*v**(-4))/((v*v**(-1/4))/v)))**(-3/46) assuming v is positive.
v**(39/184)
Simplify (z**(-2/17))**(-4/7)*z**8/(z**(-3/8)/z) assuming z is positive.
z**(8989/952)
Simplify (a*a/a**(-9)*a)**(-2/73)*a**(-3/22)*a**3/a assuming a is positive.
a**(2465/1606)
Simplify s**16/s*s*(s*s*s/(s/s**(-2/5)))/s*(s**3)**(-39) assuming s is positive.
s**(-502/5)
Simplify (a**(-3/4))**(4/3)/(((a*a/(a*a*a**0)*a)/a)/a)**(3/35) assuming a is positive.
a**(-32/35)
Simplify ((k**(-2)*k)/k)**(7/8)/(k**(-2/25)/(k/(k**11*k))) assuming k is positive.
k**(-1267/100)
Simplify ((p/((p**(-5)/p)/p))/p)**(2/79)*p**(-22)*p/((p**(-1/22)*p)/p) assuming p is positive.
p**(-36111/1738)
Simplify (l**(-1/5))**(-17)*l**(-9)/l**18 assuming l is positive.
l**(-118/5)
Simplify (b**(-3/5))**(-6/11)*(b*b/b**(-20/9)*b)/(b*b**16) assuming b is positive.
b**(-5668/495)
Simplify (t**(-1/2)/t**(-1/4)*(t*t*t**(-2/3))**(3/7))**(-27) assuming t is positive.
t**(-243/28)
Simplify (((s/s**11)/s**(5/4))**48)**13 assuming s is positive.
s**(-7020)
Simplify ((s**0)**36/((((((s**(-2/7)/s)/s)/s)/s*s)/s)/s**(-2/9)))**34 assuming s is positive.
s**(8704/63)
Simplify (o*((o/(o**(2/15)/o)*o)/o*o)/o*o)/o**(-3)*o**(-14)*o/o**17 assuming o is positive.
o**(-347/15)
Simplify (a**(2/11)*a*a)**(-1/8)*a**(-5)*a*(a*a*a**(-1/2))/a*a assuming a is positive.
a**(-61/22)
Simplify (k/(k*k**(-3)*k*k))**4/(k**(-1/12)*k/k**(-9)*k*k) assuming k is positive.
k**(-95/12)
Simplify (((u*u/u**(-9))/(u/(u/(u*u/(((u*u**(7/3)*u*u)/u)/u)*u))))**49)**23 assuming u is positive.
u**(38318/3)
Simplify ((x/(x*x**3/x)*x)/(x*(x*x/(x*x**(1/10)))/x*x)*(x**(-2)/x)/x**(-7/3))**(-26) assuming x is positive.
x**(1391/15)
Simplify (f*f*f*f*f*f**(1/24)*f*f**16)/(f**2/f)**47 assuming f is positive.
f**(-599/24)
Simplify (x**(-26)/x)/(x**(1/38)/x)*(x/(x**(-10)*x))/(x*x**(-4)) assuming x is positive.
x**(-495/38)
Simplify d*d**(-5)/d*d/(d/d**(1/6))*d**(-1)*d*d*d*d**(-14) assuming d is positive.
d**(-101/6)
Simplify (c**(6/7)/c)**(-24)*(c*c**(-1/7))/c*c/(c/(c/c**12)) assuming c is positive.
c**(-54/7)
Simplify (((u*((u*u/(u/(u*u**(-5/6)*u)))/u)/u)/u)/u)/(u*u**31)*(u**(-1/2)/u)**(12/5) assuming u is positive.
u**(-1093/30)
Simplify f*f**(1/4)/f*f*f**(1/6)/f*(f/((f/f**(-2/3)*f)/f))/f*f/(f*f**(7/3)) assuming f is positive.
f**(-43/12)
Simplify ((x**9/x)/x*x*x*((x**(1/2)/x)/x)/x*x)/((x*x/(x*x*x**(-3)))/x**(-1/6)) assuming x is positive.
x**(13/3)
Simplify ((((v/((v/v**(-13))/v))/v)/v**2)**(-1/30))**(-41) assuming v is positive.
v**(-41/2)
Simplify (x**6/x*x/(x*x*x*x**22*x))/(x/(x**28/x*x)*x/(x**(-2/61)*x*x*x)) assuming x is positive.
x**(547/61)
Simplify (((g*g/((g**(-2/7)*g)/g*g))/g*g)/(g/g**(-14)*g))/(g*g/g**(4/11))**13 assuming g is positive.
g**(-2771/77)
Simplify (d**8/d**(-1/4))/(d**4*d)**(-22/7) assuming d is positive.
d**(671/28)
Simplify i**0/i*i*i*i*i**(-1)/i*i*((i**(-3)/i)/i)**(-2/7) assuming i is positive.
i**(17/7)
Simplify (a/(a/a**(4/3)))**(-43)/((a*a**(-17/3))/(a*a**(-20)/a*a)) assuming a is positive.
a**(-215/3)
Simplify m**(-10)*m**(11/2)*m*m*m**(-1)*m*((m*m/m**(5/2))/m)/m*m assuming m is positive.
m**(-4)
Simplify ((c**(1/20)/(c/(((c*c/c**(-1/5)*c)/c)/c*c*c*c)))**(1/9))**10 assuming c is positive.
c**(65/18)
Simplify u**(1/3)/u*u**(-6/7)*(u*u**(-16))/((u*u/(u/(u/(u/(u/(u*u*u/u**(-2/51))))))*u)/u) assuming u is positive.
u**(-5528/357)
Simplify q**6*q**(-12)*(q**(3/7))**(-30) assuming q is positive.
q**(-132/7)
Simplify (b**2*b*b)**(-1/24)/(b/(b**10/b)*b*b*b**(-2/13)) assuming b is positive.
b**(467/78)
Simplify (k*k/(k**(-1/15)*k))**(-37)/(k/(k**(-3/8)*k))**(-6) assuming k is positive.
k**(-2233/60)
Simplify (p**(-2))**(-31)/(p**4*(p*p**(-4/7))/p) assuming p is positive.
p**(410/7)
Simplify (n**(-12)/(n*n**20))/(n*n**(-11))**(-1/3) assuming n is positive.
n**(-109/3)
Simplify ((n/n**(-11))/n)**(-1/6)/(n**7*n/(n/((n**(-23)*n)/n)*n*n)) assuming n is positive.
n**(97/6)
Simplify ((z*z**6)**(-6))**37 assuming z is positive.
z**(-1554)
Simplify ((f/(f*f/f**(1/42)))**(1/69))**(-2/85) assuming f is positive.
f**(41/123165)
Simplify ((a**(-2)/(a*a**(-5)*a))/(((a/a**2)/a*a)/(a/a**(-2/19)*a)))**(-3/19) assuming a is positive.
a**(-234/361)
Simplify (n**(-6)*n**11)/((n*n**10)/n*n)**(-1/7) assuming n is positive.
n**(46/7)
Simplify (a**(-4/15))**(-1/13)*(a/(a/(a/a**(-2/3))))**39 assuming a is positive.
a**(12679/195)
Simplify o**(5/6)/o*o*o**(-15)*o**(5/7)/(o/(o*o/o**(-3/7)*o*o)) assuming o is positive.
o**(-421/42)
Simplify ((y/y**(3/26)*y)/y)**(-24)*y/y**(3/7)*y*y*y**26 assuming y is positive.
y**(668/91)
Simplify ((((v*v/(v*v/(v**4*v)*v))/v)/(v*(v*v*v**(-2/9))/v))/((v/(v**(-1/5)*v))/v**(-4/3)))**(-30) assuming v is positive.
v**(28/3)
Simplify (s/s**(2/13))/s**(-1/26)*(s*s**(-6/11)/s)**31 assuming s is positive.
s**(-4583/286)
Simplify (q**(-5)/(q**(2/13)*q))/((q**(1/16)*q)/q**(2/23)) assuming q is positive.
q**(-34107/4784)
Simplify m/m**(-4)*(m**(-1/15)*m)/m*(m*m**(-7)*m)**12 assuming m is positive.
m**(-826/15)
Simplify (h**(-5))**35/((h/(h/(h*h/(h/h**(2/9)))))/h)**2 assuming h is positive.
h**(-1579/9)
Simplify y**13/y**3*(y**(-1/7)*y)**(-45) assuming y is positive.
y**(-200/7)
Simplify ((i/i**(-2/11)*i*i**1/i)/(((i*i**5*i)/i)/i*i**(-1/2)))**33 assuming i is positive.
i**(-153/2)
Simplify (u**(-1/24)/(u/u**2))/((u**(-5)/u)/u)**(-7/11) assuming u is positive.
u**(-923/264)
Simplify (u**7/(u/(u/u**(2/43))))/(u**(8/9)*u*u**15) assuming u is positive.
u**(-3845/387)
Simplify (((k*k**(-3/8))/k)/k**(-1/32))/(k**(-1)/k)**(-4) assuming k is positive.
k**(-267/32)
Simplify (d**(-1/2)/(d/(d/(d**3*d*d))))/(d**(-15)/(d*((d**(4/3)*d)/d)/d)) assuming d is positive.
d**(65/6)
Simplify ((u*u/(u**(-7)/u))/((u*u**(-2/113))/u))**29 assuming u is positive.
u**(32828/113)
Simplify ((x*x*x**(3/7)*x*x)/(x**(-2/17)*x)*x**(-13)/(x*x**(-5/2)*x))**7 assuming x is positive.
x**(-2131/34)
Simplify ((c**(1/2))**(-36)*(c*c*c**6*c)/c**(2/11))**(-35) assuming c is positive.
c**(3535/11)
Simplify ((v*v*(((((v/(v/(v/((((v**(2/5)*v*v)/v)/v)/v))))/v)/v)/v)/v)/v*v*v)**23*v**(-3/5)*v**(-7))**(1/5) assuming v is positive.
v**(31/25)
Simplify l**25*l/l**(1/3)*(l*l**29)/(l**(-28)*l) assuming l is positive.
l**(248/3)
Simplify (h/(h**0*h))**(-1/29)/((h*(h*h*h/(h*(h*h**11)/h*h))/h)/(h/(h/(h/(h**(3/10)*h)))*h)) assuming h is positive.
h**(107/10)
Simplify u**(13/3)*u**(9/2)/u*u*(u**18)**4 assuming u is positive.
u**(485/6)
Simplify (o**(-1)*o**(-2/15))/((o/o**(-6)*o)/((o/((o**(-3)/o)/o)*o)/o)) assuming o is positive.
o**(-47/15)
Simplify y*y**(-4/7)*y*y*y**(-12)/y*y*y**(-7)*y*y*y**10*y assuming y is positive.
y**(-25/7)
Simplify (o*o**(-5/3)*o)**31/(o**(3/13)/(o/o**(-18))) assuming o is positive.
o**(1135/39)
Simplify ((a**(-3/4)/a**(2/3))**(-4/33))**33 assuming a is positive.
a**(17/3)
Simplify (q**(-12)/(q**(-2/13)/q))/((q**(-16)*q)/q**(5/7)) assuming q is positive.
q**(443/91)
Simplify (((n/n**6)/n*n**(-5))/((n/n**(-2/13))/n**2))**(-28) assuming n is positive.
n**(3696/13)
Simplify (g*g**(-8)*g*g/g**(-2/29))/((g/(g*g/g**(-1)*g))/g)**(-39) assuming g is positive.
g**(-4667/29)
Simplify (j*j**(-1/6)*j**(-1/16)*j)/((j/j**(3/5))/j*j**8/j) assuming j is positive.
j**(-1111/240)
Simplify (a*a**(-2/17)*a)**14*(a**(-11))**12 assuming a is positive.
a**(-1796/17)
Simplify (d**(2/33)/d**(-3)*(d/((d/(d*d**(4/5)
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 5611212*l**4 - 88232*l + 32 wrt l?
67334544*l**2
Find the second derivative of -3787125*n**5 + 10*n**4 - 182376727*n wrt n.
-75742500*n**3 + 120*n**2
Differentiate -339*m**2*r**2 + 5*m**2 - 2*m*r - 10425*m - 752*r wrt r.
-678*m**2*r - 2*m - 752
Differentiate 15969501*r**2 - 25298232 with respect to r.
31939002*r
Find the third derivative of -1730424*d**3*l**2 + 2*d**3 - 2*d**2*l**2 + 6*d**2 + 3*d*l**2 + 17055*l wrt d.
-10382544*l**2 + 12
What is the second derivative of -1167356919*c**2*r**2 + 355*c*r**2 + 2658*c - 2*r**2 wrt c?
-2334713838*r**2
Find the second derivative of 18883345*i**3 + 488889*i.
113300070*i
What is the third derivative of r*y**4 + 3270*r*y**3 + 498209*r*y**2 + 2*r*y + y**4 + 202*y**3 + 8*y**2 + 4 wrt y?
24*r*y + 19620*r + 24*y + 1212
Find the first derivative of 603125443*r - 406164848 wrt r.
603125443
Find the second derivative of -7504*p**2*s**3 - 555*p**2*s**2 + 3738037*p*s**3 - p*s**2 wrt p.
-15008*s**3 - 1110*s**2
What is the second derivative of -19761554*g*h**2 - 2*g*h + 105582*g + h**3 - 2*h - 2 wrt h?
-39523108*g + 6*h
Differentiate -2*h**2 + 26*h*o + 472154*h + 195237806*o wrt h.
-4*h + 26*o + 472154
What is the derivative of -d**2*o - 200004*d**2 - 15*d*o - 262231209*o wrt d?
-2*d*o - 400008*d - 15*o
Find the second derivative of -11085390*r**2 - 4805954*r.
-22170780
Find the third derivative of -1043825522*i**3*j**2 + 6*i**2*j**2 + 5*i**2*j - 3*i*j**2 - 526*i - 32*j - 3 wrt i.
-6262953132*j**2
Differentiate -3262734*y**3 + 3*y**2 - 13*y + 291815139.
-9788202*y**2 + 6*y - 13
What is the second derivative of -147121*k*s**3 - 34*k*s**2 - 2897855*k*s - 34*k - 2*s**3 - 1 wrt s?
-882726*k*s - 68*k - 12*s
Find the second derivative of -67744*h**4 - 135*h**2 + 3004*h - 115.
-812928*h**2 - 270
What is the third derivative of -86*f*n**5 - 3*f*n**4 - f*n**2 + 4*f - 199*n**4 + 1324*n**2 - 188*n + 2 wrt n?
-5160*f*n**2 - 72*f*n - 4776*n
Find the first derivative of 3780467*k*z + 17122802*k wrt z.
3780467*k
Find the second derivative of 101514393*s**3 - 110197695*s wrt s.
609086358*s
Find the first derivative of -5*b*o**2 - 272667*b*o - 16*b - 2972*o**2 - 11576 wrt b.
-5*o**2 - 272667*o - 16
Differentiate -5470918*v**3*y*z + 3*v*y + 13*y*z - y - 757196 with respect to v.
-16412754*v**2*y*z + 3*y
Find the third derivative of 97*a**2*f**3 - 41379068*a**2*f**2 + 4*a*f**3 - 5153*f**3 wrt f.
582*a**2 + 24*a - 30918
Differentiate -48571427*w + 84063161.
-48571427
Differentiate 127649*d*g**3 + 37*d + 24330*g**3 + 54*g with respect to d.
127649*g**3 + 37
What is the second derivative of 29*f**2*o**2 + 3*f**2*o - f**2 - 12098*f*o**2 - 2*f*o - 5*o**2 - 3*o + 167 wrt o?
58*f**2 - 24196*f - 10
What is the third derivative of -3*d**2*r**4 + 2*d**2*r**2 - 22*d**2*r + 144*d*r - 1060133*r**5 + 4*r**2 wrt r?
-72*d**2*r - 63607980*r**2
What is the third derivative of 4524962*u**4 - 117*u**3 - 388608907*u**2 wrt u?
108599088*u - 702
What is the second derivative of -67682032*z**5 + 127279804*z wrt z?
-1353640640*z**3
Find the second derivative of -10478666*h**5 + 12601916*h.
-209573320*h**3
Differentiate 699560*f - 1400179.
699560
What is the derivative of 72*a*j**2*x + a*j**2 - 1068*a*j - a*x + 535*a - 18*x - 555 wrt j?
144*a*j*x + 2*a*j - 1068*a
What is the second derivative of 24668996*x**2 - 27587531*x?
49337992
What is the first derivative of 449170*q**4 + 2*q**3 + 5977803 wrt q?
1796680*q**3 + 6*q**2
What is the first derivative of 359127882*j - 116288429?
359127882
Find the second derivative of -264695943*h**2 + 127461923*h wrt h.
-529391886
Differentiate 5*g**3*s**2*v - 8181*g**3*s - 140*g*s**3 - 163228*s**3*v with respect to v.
5*g**3*s**2 - 163228*s**3
What is the third derivative of 43*v**3*x**3 - 2810940*v**3 - 49*v**2*x**3 + 6*v**2*x**2 - 4*v**2*x - 2*v + 2*x**3 - 216*x**2 wrt v?
258*x**3 - 16865640
What is the derivative of -33685785*l - 591132671 wrt l?
-33685785
What is the second derivative of -24186306*g**2*j**3 + 3*g**2*j - 4*g**2 - 6*g*j**5 - 5*g*j + 32*g + 15*j + 2 wrt j?
-145117836*g**2*j - 120*g*j**3
Find the third derivative of -2615484*t**4 + 276850*t**2 - 3*t + 5 wrt t.
-62771616*t
Find the third derivative of -u**6 - 4043*u**4 + 1578*u**3 - 402*u**2 + 20*u + 79 wrt u.
-120*u**3 - 97032*u + 9468
What is the third derivative of -6531530*j**5 - 772940*j**2 wrt j?
-391891800*j**2
What is the second derivative of 51209976*i**3*o**4 + 19164*i**3*o - 2*o**5 - 35*o wrt o?
614519712*i**3*o**2 - 40*o**3
Differentiate 47981263*d + 48099221.
47981263
What is the third derivative of 2167*j**3*o**3 + 9*j**3*o + 13*j**2*o**2*v + 7*j*o**2*v - 5*j*o**2 + 5*j*o*v - 413*o**3*v wrt o?
13002*j**3 - 2478*v
What is the derivative of -70558915*i + 24493841?
-70558915
What is the third derivative of 105930637*j**3 + j**2 + 73894139?
635583822
What is the first derivative of 19759890*i + 131380771 wrt i?
19759890
What is the third derivative of -12759743*a**5 + 442*a**2 + 13*a - 5?
-765584580*a**2
Find the third derivative of 4811146*i**3*o**3 - 41*i**2*o + 126*i - 2*o**3 + 8*o - 1 wrt i.
28866876*o**3
Differentiate -14137966*l**4 - 8129079.
-56551864*l**3
Find the first derivative of -13752825*t**2 - 23189192 wrt t.
-27505650*t
Find the third derivative of 782*s**3*w*x - s**3*w + 51*s**3*x + 8*s**3 + 2*s**2*w*x + 7*s**2*w + 5*s**2*x + 2*s*w*x + 12*s*w - 8*s*x - 23 wrt s.
4692*w*x - 6*w + 306*x + 48
What is the derivative of -11360468*a**2*s + 6*a**2 - 9513213*s wrt a?
-22720936*a*s + 12*a
What is the third derivative of -29968609*l**4*s**2 - 5*l**2*s + l**2 + 929*l*s - s**2 - 2*s - 1 wrt l?
-719246616*l*s**2
What is the second derivative of -x**5 - 129569145*x**2 + 124*x + 1664129 wrt x?
-20*x**3 - 259138290
Find the first derivative of -109*t*x**2 + 76*t*x + 233305623*t + 61*x**2 - 2*x wrt x.
-218*t*x + 76*t + 122*x - 2
What is the first derivative of -203100861*i**3 + 643018553?
-609302583*i**2
Find the third derivative of -3*d**5 - 4*d**4 + 15469*d**3 + 4*d**2 + 23*d + 3046 wrt d.
-180*d**2 - 96*d + 92814
What is the second derivative of -6993247*r**4 + 2504593*r - 1 wrt r?
-83918964*r**2
Find the third derivative of -24841806*m**6 + 18531166*m**2 wrt m.
-2981016720*m**3
Find the second derivative of -26*h**2*v*y + 11*h**2*v - 127761*h**2*y - 1203*h*v*y + 649*h*v + 10*h*y - v wrt h.
-52*v*y + 22*v - 255522*y
What is the third derivative of -38767*t**6 + 113*t**5 + 169*t**2 + 6897*t - 4 wrt t?
-4652040*t**3 + 6780*t**2
Find the second derivative of 2241529*o**4 - 581*o + 33.
26898348*o**2
Differentiate -1222561320*k**4 + 283650027.
-4890245280*k**3
What is the derivative of 4*q**3 + 730782*q + 4009971?
12*q**2 + 730782
What is the second derivative of -76*b**3 + 333984*b**2 + 3*b + 14438239?
-456*b + 667968
Find the second derivative of -4289019*i**2 + i - 21341 wrt i.
-8578038
What is the third derivative of 4645886*j**3 + 2*j**2 - 230*j + 4158?
27875316
What is the first derivative of 333125590*v*y + 3*y + 12750404 wrt v?
333125590*y
Find the second derivative of -10903750*a*f**2 + 4462*a*f + 5*a + f + 9 wrt f.
-21807500*a
Find the first derivative of -16378179*j**3 - 20129807.
-49134537*j**2
Find the third derivative of -82866661*m**3 + 18*m**2 - 146800*m wrt m.
-497199966
Find the third derivative of 60987145*i**3 + 140621*i**2 - 2*i + 8.
365922870
What is the third derivative of -12*z**5 + 9628849*z**4 + 7702*z**2 + 562*z wrt z?
-720*z**2 + 231092376*z
What is the third derivative of -111580*d**3*v**4 + 23*d**3*v - 590640*d*v**2 + 13*v**5 wrt v?
-2677920*d**3*v + 780*v**2
Find the second derivative of 368116425*u**2 + 133974658*u.
736232850
What is the first derivative of 133860191*j**2 - 2*j - 317968114 wrt j?
267720382*j - 2
Find the second derivative of -11396097*j*n**3 - 33516*j*n - 225*j wrt n.
-68376582*j*n
What is the second derivative of 52352193*a**3*v**3 + 2*a*v - 112*a - 25081*v**3 wrt a?
314113158*a*v**3
Find the third derivative of 36794461*t**4 + 2*t**2 + 118702802.
883067064*t
Find the second derivative of 10*j**3 + 2598*j**2 - 3219972*j wrt j.
60*j + 5196
What is the second derivative of -52534610*f**2 - 31599*f + 200 wrt f?
-105069220
Differentiate 2*d**4 - 2522694*d**3*u + 2*d**2 - 1734254*u + 3 with respect to d.
8*d**3 - 7568082*d**2*u + 4*d
Find the second derivative of 9751345*r**2 - 13481321*r.
195
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 753*j**2.
56*j**2 + 1
Collect the terms in 0*n**3 + 158*n - 343299 + 343299 - 158*n + 2*n**3.
2*n**3
Collect the terms in -101 + 53 + 48 + 9*i + 6*i.
15*i
Collect the terms in 26*p - 36*p - 26*p + 54*p.
18*p
Collect the terms in 2304001 - 2304001 + s.
s
Collect the terms in -50699*n + 101405*n + 5*n**2 - 50706*n.
5*n**2
Collect the terms in 5 + 42*f**3 - 5 + 606*f**3.
648*f**3
Collect the terms in -17 + 42 - 25 + 312*m**3.
312*m**3
Collect the terms in -99*y**3 + 17*y**3 + 36*y**3 + 27*y**3.
-19*y**3
Collect the terms in -17828*u**3 - 22*u**2 + 8917*u**3 + 8915*u**3 - 3*u**2.
4*u**3 - 25*u**2
Collect the terms in 124492 - 124492 - 15*v**2.
-15*v**2
Collect the terms in -12*u**3 + 7*u**3 + 4*u**3 + 0*u**3 - 11*u**3.
-12*u**3
Collect the terms in 715*r + 48 - 715*r - r**2.
-r**2 + 48
Collect the terms in -8*y**2 - 3330 + 9*y**2 + 3310.
y**2 - 20
Collect the terms in -3*n + 28*n - 37 - 282 + 319.
25*n
Collect the terms in 76*z - 2*z**3 - 145*z + 80*z.
-2*z**3 + 11*z
Collect the terms in 15*c - 3429*c**3 + 24*c - 48*c + 9*c.
-3429*c**3
Collect the terms in -140*j + 300*j - 164*j + 12.
-4*j + 12
Collect the terms in -5*g - 28*g**2 + 0*g**2 - 43*g**2.
-71*g**2 - 5*g
Collect the terms in 0*l**3 + 123*l**2 - 2*l**3 - 498*l**2 - 39*l**2.
-2*l**3 - 414*l**2
Collect the terms in 94*m**3 - 14*m**3 + 234*m**3 + 226*m**3.
540*m**3
Collect the terms in -24212*f - 3*f**3 + 24212*f.
-3*f**3
Collect the terms in -54 + 54 - 1664*z + 1704*z.
40*z
Collect the terms in 1859560076 + 11*q - 1859560076.
11*q
Collect the terms in 303*h + 311*h - 610*h.
4*h
Collect the terms in 6*t**3 - 48424*t**2 + 48424*t**2.
6*t**3
Collect the terms in 3*y**2 + 6546184*y - 6546184*y.
3*y**2
Collect the terms in 4*d + d - 5344 + 2659 + 2685.
5*d
Collect the terms in -18 - 278*u + 6 + 7 + 5.
-278*u
Collect the terms in 12*t**3 + 50*t**3 - 53*t**3.
9*t**3
Collect the terms in -236*h**3 + 1250*h**3 + 113*h**3.
1127*h**3
Collect the terms in -5438163 + 16*m**2 + 5438163.
16*m**2
Collect the terms in -66*y**3 - 160167 + 160167 + 70*y**3.
4*y**3
Collect the terms in 40794*i - 4 - 40795*i + 25.
-i + 21
Collect the terms in 66*f + 67*f + 67*f + 71*f - 333*f + 66*f.
4*f
Collect the terms in -13*w**2 + 8*w**2 - 3*w - 2*w**2 - 148*w**3 + 3*w.
-148*w**3 - 7*w**2
Collect the terms in -13*s**2 + 3*s + 2*s - 7*s - 3*s**2 - 42.
-16*s**2 - 2*s - 42
Collect the terms in -z + 4*z - 10*z + 2*z + 0*z.
-5*z
Collect the terms in 11*x**2 - 200*x**3 - 7*x**2 - 4*x**2.
-200*x**3
Collect the terms in -2836*q**3 - 2*q + 4*q + 467*q**3.
-2369*q**3 + 2*q
Collect the terms in -2051 - 1244*o**3 + 2051 - 1321*o**3.
-2565*o**3
Collect the terms in 40*v - 740 + 1377 - 637.
40*v
Collect the terms in 2350*h**2 + 2344*h**2 - 3 - 4672*h**2.
22*h**2 - 3
Collect the terms in 32 - 2 - 12 + 263*p - 2 - 12.
263*p + 4
Collect the terms in -16 + 17 - 3*n + 3*n - 130*n**2.
-130*n**2 + 1
Collect the terms in -274*k**2 - 258 - 856*k**2 + 258.
-1130*k**2
Collect the terms in 39711*u - 19821*u - 19699*u.
191*u
Collect the terms in -580*v**2 + 361 + 2437*v**2 - 363.
1857*v**2 - 2
Collect the terms in -34*q - 17*q - 15*q**2 + 45*q**2.
30*q**2 - 51*q
Collect the terms in -40 - 4*t + 83 - 43 + 2*t**3 + t**2.
2*t**3 + t**2 - 4*t
Collect the terms in 3*k**3 - 2*k**3 + 335*k**2 + 3*k**3.
4*k**3 + 335*k**2
Collect the terms in 4*n**3 - 3231399*n**2 + 1615693*n**2 + 1615706*n**2.
4*n**3
Collect the terms in -51*a**2 - 10*a - 10*a + 2*a + 19*a - a.
-51*a**2
Collect the terms in 0 - 8*x + 2 + 1 - 1.
-8*x + 2
Collect the terms in -33 - 9 - 39*j - 6*j**2 - 40 + 4*j**2.
-2*j**2 - 39*j - 82
Collect the terms in 38 + 2593*z - 38 + 10*z**3 - 2593*z.
10*z**3
Collect the terms in -2*p - 2012699 + 75*p**2 + 2012699.
75*p**2 - 2*p
Collect the terms in -300 - 341 + 1006 + 4*w**2 - 365.
4*w**2
Collect the terms in -108870*l**2 + 1 + 108857*l**2 - 1.
-13*l**2
Collect the terms in 4*f - 23 + 95 - 31.
4*f + 41
Collect the terms in -5*u**3 + 18*u**3 + 48*u**3 + 32*u**3 - 16*u**3.
77*u**3
Collect the terms in 127744*l**2 - l - 127737*l**2 + l.
7*l**2
Collect the terms in 3277*a - 3277*a + 226*a**3.
226*a**3
Collect the terms in 895798 - 895798 + 184*c.
184*c
Collect the terms in 383*m**2 - 1817*m**2 + 1432*m**2.
-2*m**2
Collect the terms in -7 - 107*s**2 + 8 - 33 + 130*s**2 - 26*s**2.
-3*s**2 - 32
Collect the terms in -9*t - 19*t + 28*t - 5 + 47*t**2.
47*t**2 - 5
Collect the terms in 338*a**2 - 631*a**2 + 293*a**2 - 8*a**3.
-8*a**3
Collect the terms in 17608*i + 300081*i + 81948*i + 7825*i.
407462*i
Collect the terms in -15268 + 15268 - 189*j.
-189*j
Collect the terms in -2*r**3 + 108316158 - 108316158.
-2*r**3
Collect the terms in 43*s - 44*s - 233*s.
-234*s
Collect the terms in 80*u - 182*u + 88*u - 4 + 4.
-14*u
Collect the terms in 10*a**2 - 19 + 19 + 25*a**2 - 20*a**2 - 13*a**2.
2*a**2
Collect the terms in -27*x**2 + 46*x - 56*x + 10*x - 10*x**3.
-10*x**3 - 27*x**2
Collect the terms in 55*q + 63*q - 14*q - 21*q.
83*q
Collect the terms in -88356*p**2 + 44173*p**2 + 44166*p**2.
-17*p**2
Collect the terms in -54 + 18 + 18 + 18 - 14*y**2.
-14*y**2
Collect the terms in -19*j**2 - 14*j**2 + 29 + 53*j**2 - 29.
20*j**2
Collect the terms in 13*o - 294 - 3*o - 15*o.
-5*o - 294
Collect the terms in 174 + 5*u - 697 + 48.
5*u - 475
Collect the terms in 1279*c + 2850*c + 2768*c - 1512*c.
5385*c
Collect the terms in -2*l + 41*l**2 - 22*l**2 + l + 20*l**2.
39*l**2 - l
Collect the terms in -1015 - 11*w - 6*w + 9*w.
-8*w - 1015
Collect the terms in 2*b + 26706*b**2 - 26706*b**2 + 65*b**3.
65*b**3 + 2*b
Collect the terms in 14*n**3 - 329226128*n**2 + 329226128*n**2.
14*n**3
Collect the terms in 64 + 8489*n**2 - 64 - 630*n**2.
7859*n**2
Collect the terms in 0 + 0 + 53131*c**2.
53131*c**2
Collect the terms in -91*v + 210*v + 103*v - 24.
222*v - 24
Collect the terms in -11*z - 168*z + 349*z - 166*z.
4*z
Collect the terms in -88*a + 135*a + 79*a + 32*a.
158*a
Collect the terms in -35*o + 376*o + 54*o + 3*o**2 + 575*o.
3*o**2 + 970*o
Collect the terms in -22766*k**3 + 19 - 19 - 8729*k**3.
-31495*k**3
Collect the terms in 2*y - 119181 + 6*y - 3*y - 3*y.
2*y - 119181
Collect the terms in -32*n**2 - 31*n**2 + n + 62*n**2 - 160*n**3.
-160*n**3 - n**2 + n
Collect the terms in 213*r**3 + 5*r + 1013*r**3 + 2 + 137*r**3 - 7*r.
1363*r**3 - 2*r + 2
Collect the terms in -75 - 12*i + 19 - 72*i**2 + 12*i.
-72*i**2 - 56
Collect the terms in -12 - 20 + 35 - 2321*y.
-2321*y + 3
Collect the terms in 379*b**3 + 397*b**3 + 400*b**3 + 2*b - 2*b - 1180*b**3.
-4*b**3
Collect the terms in 15*n + 18*n + 7*n - 52*n.
-12*n
Collect the terms in 4*q**3 + 2595 + 5*q**3 - 2602 - 4*q**3.
5*q**3 - 7
Collect the terms in 0 + 0 - 35377*z.
-35377*z
Collect the terms in -10*m + 0*m - 10*m + 19*m - 6*m.
-7*m
Collect the terms in -170264*h**2 + 17*h**3 - 4*h**3 + 170269*h**2.
13*h**3 + 5*h**2
Collect the terms in -486*z + 1984*z - 483*z - 496*z - 499*z.
20*z
Collect the terms in 674*z + 9*z**2 - 837*z + 163*z.
9*z**2
Collect the terms in -143*b + 956*b + 770*b - 58*b.
1525*b
Collect the terms in 305*g**2 - 26441*g + 26441*g - 5*g**3.
-5*g**3 + 305*g**2
Collect the terms in 2*j - 153 - 246 + 88 - 161.
2*j - 472
Collect the terms in -704*o**2 - 201640 + 201640.
-704*o**2
Collect the terms in 2*o**3 + 1915 + 9*o**3 - 3830 + 1915.
11*o**3
Collect the terms in 0*f - 21*f + 1168 - 1170 + f - f.
-21*f - 2
Collect the terms in 1269*y + 1141*y - 2308*y.
102*y
Collect the terms in -9 + 116*i**2 + 28*i + 27*i + 4*i - 118*i**2.
-2*i**2 + 59*i - 9
Collect the terms in 34786420 - 34786420 + y**3.
y**3
Collect the terms in -2*m + 71 + 9 + 0*m.
-2*m + 80
Collect the terms in 30367202 - 30367202 + 18*z.
18*z
Collect the terms in 85570*v**3 + 7 - 7 - 85648*v**3.
-78*v**3
Collect the terms in -268*q + 816*q - 272*q - 273*q.
3*q
Collect the terms in 3*f - 6184884 + 6184884 - 10*f**2 - 3*f.
-10*f**2
Collect the terms in 254*a + 5 + 7 - 539*a - 12.
-285*a
Collect the terms in 54728*c**3 - 109428*c**3 + 54715*c**3.
15*c**3
Collect the terms in 3*y**2 - 2177541 + 2177541.
3*y**2
Collect the terms in 5*q + q**3 - 2339 - 5*q + 2339.
q**3
Collect the terms in 20333*i - i**2 - 120 - 20333*i.
-i**2 - 120
Collect the terms in 0*q**2 - q**2 + q**2 - 353*q**3 + 2*q + 365*q**3.
12*q**3 + 2*q
Collect the terms in -888767*c - 12 + 15 - 3 + 888756
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of 3326*f**3 + 134*f**2 + 4569856*f?
19956*f + 268
What is the third derivative of 106668*k**3 + 72694*k**2?
640008
What is the derivative of -3*l**3*r - 1668*l**3 + 32211*l**2*r**2 + l**2 + 3 wrt r?
-3*l**3 + 64422*l**2*r
Find the second derivative of -108333*d*k**3*q**2 - 10*d*k**2*q + 2*k**3*q - 1891*q wrt q.
-216666*d*k**3
What is the second derivative of 4*g*l**3 - 9*g*l**2 - 5*g*l - 8066*l**3 - 461435*l wrt l?
24*g*l - 18*g - 48396*l
What is the derivative of -64*i**2*o**2*p**2 - 4*i**2 - 240*o**2*p - 2*o**2 + 2499*o wrt p?
-128*i**2*o**2*p - 240*o**2
Find the first derivative of 8901*j**3*y - 2*j**2*y - j - 48320*y wrt j.
26703*j**2*y - 4*j*y - 1
What is the derivative of 3411*f*w - 58816*f + 6*w wrt w?
3411*f + 6
Differentiate -139773*r - 215305.
-139773
What is the derivative of -75724*v**2 + 43166 wrt v?
-151448*v
Find the first derivative of 4*k*n*o**2 - k*n + 5*k + 23*n*o**3 + 8*n*o**2 + 57*n wrt o.
8*k*n*o + 69*n*o**2 + 16*n*o
What is the third derivative of 11*f**5*g - 8*f**5 - 75*f**3*g + f**2*g + 8*f - 65*g wrt f?
660*f**2*g - 480*f**2 - 450*g
What is the third derivative of 5092897*o**6 - 2020*o**2 + 2*o + 455 wrt o?
611147640*o**3
What is the third derivative of 2*a**2*p**3*t + 4*a**2*p**3 + a**2*p**2*t - 2*a**2*p + 58*a*p**3 + 34*a wrt p?
12*a**2*t + 24*a**2 + 348*a
Differentiate 8*g**2 - 175*g + 48644 with respect to g.
16*g - 175
Find the first derivative of 2*b*j**3 + b*j*k - 397*b*k - 2*b - 73*j**3*k + 50*j*k - k wrt b.
2*j**3 + j*k - 397*k - 2
Find the third derivative of 212*b**3*u**4 + 22*b**3*u**2 + 29*b**2*u**4 - 3*b**2*u**2 - u**2 + 4 wrt u.
5088*b**3*u + 696*b**2*u
Find the second derivative of -6595328*w**2 - w - 92661 wrt w.
-13190656
Differentiate 33230*l**3*m - 6*l**3 - 2*l + 77 with respect to m.
33230*l**3
Find the second derivative of 75*k**2*o**2*v**2 - k**2*o*v**2 + 84*k*o**2*v**2 + 3*k*o*v**2 - 425*v**2 wrt o.
150*k**2*v**2 + 168*k*v**2
What is the derivative of -11*b**2 - 8037*b + 225398 wrt b?
-22*b - 8037
Find the first derivative of -y**4 + 891633*y**2 + 3091198.
-4*y**3 + 1783266*y
Find the third derivative of 1487371*f*i**4 - f*i**2 + f + i**2 - 16230*i wrt i.
35696904*f*i
What is the derivative of 16467*c**4 + 33352?
65868*c**3
What is the second derivative of -826742*v**3 - 801330*v?
-4960452*v
What is the second derivative of 348199*s**5 - 288025*s wrt s?
6963980*s**3
What is the second derivative of -63105*h**5 - 6*h**3 - 33996*h wrt h?
-1262100*h**3 - 36*h
Find the first derivative of 995157*l**4 - 3552166.
3980628*l**3
What is the first derivative of -2*f**4*v + 4453*f**2*v - 156863*v wrt f?
-8*f**3*v + 8906*f*v
Find the second derivative of -3612*d**5*x - 9*d**3*x - d**2*x - 2*d*x - 698*d + 2*x wrt d.
-72240*d**3*x - 54*d*x - 2*x
Find the second derivative of -573*y**3 - 128*y**2 - 575697*y wrt y.
-3438*y - 256
What is the second derivative of -13*o**2*q**2 - 1118*o**2 + 2*o*q**2 - 20*q**2 - 16*q wrt o?
-26*q**2 - 2236
What is the second derivative of 241571*m**2 + 834371*m?
483142
Find the first derivative of -31024*b**2*g - b*g - 21796*g wrt b.
-62048*b*g - g
Find the first derivative of -131979*a**4 + 151286.
-527916*a**3
Find the second derivative of 359*c**3*h**2 + c**3*h - 3*c**3 - 27*c**2*h**2 + 42*c**2 - 2*h**2 + 11*h wrt h.
718*c**3 - 54*c**2 - 4
What is the derivative of -11962*g*t - 12842*t wrt g?
-11962*t
What is the first derivative of -6*f*j*q + 2*f*j*u - 3*f*j - 43*f*u + 6647*j + q - 4*u wrt f?
-6*j*q + 2*j*u - 3*j - 43*u
What is the second derivative of -a**5 + 75743*a**2 - 7133*a + 47?
-20*a**3 + 151486
What is the second derivative of 26379*g**3 - 10*g**2 + 931747*g wrt g?
158274*g - 20
Find the second derivative of h**2*u**2 - 580936*h**2*u - 44*h*u**2 - 3*h*u + 18*h - u**2 + u wrt h.
2*u**2 - 1161872*u
Find the third derivative of 186411*g**5 - 187172*g**2.
11184660*g**2
What is the third derivative of -1453235*q**3*t**2 - 3*q**2*t**2 - 469*q**2*t + 96*q**2 - 2*q*t**2 - 2*t**2 wrt q?
-8719410*t**2
What is the derivative of 517346*n**3*u + 40*n**3 + 3*n**2 - 547*n - u - 1 wrt u?
517346*n**3 - 1
What is the third derivative of 3462*i**6*u**2 + 45*i**3*u**2 - 7*i**2*u**2 + 82*i**2 - 4*u**2 - 3 wrt i?
415440*i**3*u**2 + 270*u**2
What is the third derivative of 5997*h**3*k**3*w**3 + h**3*k**2*w**2 - 2*h**3*k**2*w - h**2*k**2*w**2 - h*k**3*w**3 + 3962*h*k**2*w**3 + 2*k**2*w**3 wrt k?
35982*h**3*w**3 - 6*h*w**3
Differentiate -115732*r**3 - 79450.
-347196*r**2
What is the derivative of -12*h**2*k + 2*h**2 - 3*h*k - h - 6*k - 17 wrt k?
-12*h**2 - 3*h - 6
Find the first derivative of -25181*v - 42918 wrt v.
-25181
What is the third derivative of 40*a**3*i*r**2 + 10*a**3*i*r - 5*a**3 - a**2*i*r**2 + 133*a**2*i*r - 2*a**2*i - a*i*r**2 wrt a?
240*i*r**2 + 60*i*r - 30
What is the derivative of 15*d**2*r**3 + 2*d**2*u - 710*d**2 - 3678*r**3*u + 3*r**2*u - 6*r*u wrt d?
30*d*r**3 + 4*d*u - 1420*d
Differentiate -2*p**2*r + 14*p**2 + 133046*p*r + 19*p - 290 wrt r.
-2*p**2 + 133046*p
Differentiate -403358*c**2 + 2*c - 3831155 with respect to c.
-806716*c + 2
Find the first derivative of 63*r**2*z**2 + 3*r**2*z - 1235*r*z**2 + 114298*z**2 + 2*z + 1 wrt r.
126*r*z**2 + 6*r*z - 1235*z**2
Find the third derivative of -3966660*d**6 - 2*d**2 - d - 344006 wrt d.
-475999200*d**3
What is the derivative of l**4 - 44*l**3 - 70*l**2 + l + 1420912?
4*l**3 - 132*l**2 - 140*l + 1
What is the second derivative of 52*a**4*z - 10*a**2*z + 2*a**2 - 112*a*z + 593 wrt a?
624*a**2*z - 20*z + 4
Find the second derivative of 1862*o**2*t**2 + o**2*t - 9*o**2 - 71*o*t**3 - 1380*o*t - t**5 - 9*t wrt t.
3724*o**2 - 426*o*t - 20*t**3
What is the third derivative of 886417*g**6 - 539808*g**2 wrt g?
106370040*g**3
Find the third derivative of 44383*q**5 - q**3 - 55630*q**2 wrt q.
2662980*q**2 - 6
What is the second derivative of 16*y**4 + 2*y**3 + 743*y**2 - 511383*y?
192*y**2 + 12*y + 1486
What is the derivative of -2*c**3*l + 7*c**3 + 495*c + 2327*l + 1 wrt l?
-2*c**3 + 2327
What is the third derivative of 4*o**4 - 3272*o**3 - 2016*o**2 + 36*o - 2 wrt o?
96*o - 19632
Find the third derivative of 2811*t**3 + 2*t**2 - 72*t - 16.
16866
What is the third derivative of 28467*g**2*l**3 - 3*g**2*l + g*l**5 + 2397*l**2 wrt l?
170802*g**2 + 60*g*l**2
Differentiate g*n**2 + 112639*g*n - 871638*g wrt n.
2*g*n + 112639*g
Differentiate 20*v**4 - v**3 - 163*v + 24100.
80*v**3 - 3*v**2 - 163
What is the third derivative of n*r**2*t**3 + n*r**2*t - 21*n*r**2 - 106*n*r*t**3 + 12*n*r*t**2 + 960*r**2*t**3 - r**2*t - t**2 wrt t?
6*n*r**2 - 636*n*r + 5760*r**2
What is the derivative of -b**3*c + b**3 - 666*b*c + 4063*b - c wrt c?
-b**3 - 666*b - 1
Find the third derivative of -12356*p**2*w**4 + 5000*p**2*w**2 + 3*p*w**5 - 24*p*w**2 wrt w.
-296544*p**2*w + 180*p*w**2
Find the first derivative of -754283*g**3 - g + 693926.
-2262849*g**2 - 1
Find the third derivative of -132*k**3*v**3*w + 3*k**3*v + 39*k**3 + 23*k**2*v**3*w - k**2*v**2*w + 32*k*v**2*w - 2*v**2 wrt v.
-792*k**3*w + 138*k**2*w
What is the third derivative of -26574*a**4 - a**3 - 2*a**2 + 28768*a + 6 wrt a?
-637776*a - 6
What is the second derivative of -2*k**3*r - 304691*k**2 - k*r + 51432*r wrt k?
-12*k*r - 609382
Find the third derivative of 26445*c*z**3 - 1550*c*z**2 + 39*z**3 + 226*z**2 wrt z.
158670*c + 234
Find the third derivative of -34623*f*x**3 - 13*f*x + 6*f + 2*x**4 + 2*x**3 + 198*x**2 wrt x.
-207738*f + 48*x + 12
Find the first derivative of -11*n**4 + 1414*n**3 + 15*n + 463889 wrt n.
-44*n**3 + 4242*n**2 + 15
What is the derivative of 4*b**2 + 10972*b + 183796 wrt b?
8*b + 10972
Differentiate 10*q*t**2 + 1744*q - 3*t**3 + 273*t**2 - 3*t + 37 with respect to t.
20*q*t - 9*t**2 + 546*t - 3
Find the third derivative of -2*r**5 - 606*r**4 - 30*r**3 - r**2 - 51389*r.
-120*r**2 - 14544*r - 180
What is the second derivative of b*h**2 - 115*b*h - 74512*h**2 - 741*h wrt h?
2*b - 149024
What is the second derivative of 274448*m**3 - 95570*m - 1 wrt m?
1646688*m
Find the third derivative of -21173*d**6 + 2*d**5 - 70552*d**2.
-2540760*d**3 + 120*d**2
Find the second derivative of 5171*d**2*g**3 - 3*d**2*g**2*h**3 + 2*d*g - 6*d*h**3 - 6*g**3 - 2*g**2 + 45*g*h**3 wrt d.
10342*g**3 - 6*g**2*h**3
Differentiate 525010*a**3*h - a**3*o + h*o + 74*h - 7*o + 171 with respec
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -228, -239, -254?
-273
What comes next: -488, -980, -1474, -1970?
-2468
What is the next term in 4881, 9759, 14637, 19515, 24393, 29271?
34149
What is the next term in 210, 217, 232, 261, 310, 385?
492
What comes next: 5190, 5196, 5204, 5214?
5226
What is next in 1166, 2279, 3378, 4457, 5510, 6531, 7514?
8453
What comes next: -14, -33, -62, -101, -150?
-209
What comes next: 54, 7, -114, -345, -722, -1281, -2058, -3089?
-4410
What is next in 20, 69, 142, 233, 336, 445, 554, 657?
748
What comes next: 26, 98, 198, 326, 482, 666?
878
What comes next: -10, -36, -74, -130, -210, -320, -466, -654?
-890
What is next in -11, -7, -3, 1, 5, 9?
13
What is the next term in -49, -33, -1, 53, 135, 251?
407
What is next in 163, 329, 507, 703, 923, 1173, 1459, 1787?
2163
What is the next term in -35, -126, -275, -482, -747, -1070, -1451?
-1890
What is the next term in -57, -113, -169, -225?
-281
What is next in -10828, -10830, -10832, -10834, -10836, -10838?
-10840
What is the next term in 2, 5, 12, 23, 38, 57?
80
What is next in -286, -560, -816, -1048, -1250?
-1416
What comes next: 29, 53, 77, 101?
125
What is the next term in -114, -117, -120?
-123
What comes next: -330, -658, -986?
-1314
What is next in -627, -625, -623, -621?
-619
What is the next term in 8261, 8264, 8267, 8270, 8273, 8276?
8279
What is next in 0, 9, 22, 39, 60, 85, 114?
147
What comes next: 6, 56, 182, 420, 806?
1376
What is the next term in -128, -229, -396, -629?
-928
What is next in -555, -1114, -1673, -2232, -2791?
-3350
What is the next term in 54, 141, 260, 417, 618, 869, 1176?
1545
What comes next: -170, -675, -1516, -2693, -4206?
-6055
What comes next: 356, 1436, 3236, 5756, 8996?
12956
What comes next: 11, 13, 9, -1, -17, -39, -67?
-101
What comes next: -81, -57, -33, -9, 15?
39
What is next in -1, -24, -75, -166, -309, -516, -799?
-1170
What comes next: 184, 340, 504, 682, 880?
1104
What comes next: 21, 85, 189, 333, 517, 741, 1005?
1309
What comes next: -8, -9, 14, 73, 180, 347, 586?
909
What is the next term in -111, -235, -359, -483, -607, -731?
-855
What is next in -12, -25, -60, -129, -244?
-417
What comes next: -31, -61, -125, -235, -403?
-641
What is next in -21, -60, -169, -384, -741?
-1276
What comes next: 1449, 1447, 1445, 1443?
1441
What is next in 27, 63, 101, 141, 183, 227, 273?
321
What is next in 28, 23, 16, 7?
-4
What is next in -337, -325, -279, -181, -13, 243?
605
What is the next term in 231, 434, 623, 792, 935, 1046?
1119
What is the next term in 7, 29, 65, 115, 179?
257
What is the next term in 3, 13, 25, 39, 55, 73?
93
What comes next: 62, 121, 180, 239, 298?
357
What comes next: -114, -230, -346?
-462
What is the next term in 176, 359, 532, 689, 824, 931, 1004?
1037
What is the next term in -682, -688, -706, -742, -802, -892, -1018?
-1186
What is next in 0, 13, 26, 33, 28, 5, -42, -119?
-232
What is next in -39, -164, -373, -666?
-1043
What comes next: 203, 231, 255, 275, 291, 303, 311?
315
What is the next term in 227, 237, 259, 299, 363?
457
What is the next term in -17, -17, -15, -11, -5, 3, 13?
25
What comes next: -456, -446, -430, -408, -380, -346, -306?
-260
What is next in 84, 100, 128, 174, 244, 344, 480, 658?
884
What comes next: 227, 437, 647?
857
What is next in 906, 874, 832, 774, 694, 586?
444
What is the next term in 3203, 6399, 9595, 12791, 15987, 19183?
22379
What is the next term in -97, -91, -89, -91, -97, -107, -121?
-139
What comes next: 50, 47, 44, 41, 38, 35?
32
What comes next: -271, -550, -829, -1108, -1387?
-1666
What is the next term in -4, -11, -20, -31, -44, -59, -76?
-95
What is the next term in -2555, -2554, -2553, -2552, -2551?
-2550
What comes next: 247, 496, 745, 994?
1243
What comes next: -10, -9, -20, -49, -102, -185?
-304
What comes next: 122, 247, 372, 497?
622
What is next in 892, 890, 888, 886?
884
What is the next term in 184, 183, 182, 181?
180
What comes next: 192, 188, 182, 174, 164?
152
What is next in -12, -21, -38, -69, -120, -197?
-306
What comes next: -125, -303, -483, -665?
-849
What is the next term in -1184, -2371, -3558?
-4745
What comes next: -91, -324, -713, -1258, -1959, -2816, -3829?
-4998
What comes next: -952, -949, -936, -907, -856, -777, -664?
-511
What is next in 90, 71, 26, -57, -190?
-385
What is the next term in 11, 83, 275, 647, 1259, 2171, 3443, 5135?
7307
What is the next term in -50, -102, -164, -242, -342, -470, -632?
-834
What comes next: -60, -112, -156, -192, -220, -240, -252?
-256
What is next in 60, 66, 72?
78
What is next in 125, 213, 351, 533, 753, 1005?
1283
What comes next: -25576, -51152, -76728, -102304, -127880, -153456?
-179032
What is next in -12235, -12236, -12237?
-12238
What is next in 40873, 40875, 40877, 40879, 40881, 40883?
40885
What is the next term in 192, 377, 538, 663, 740, 757, 702, 563?
328
What is the next term in -31, -34, -47, -76, -127?
-206
What comes next: 4, 23, 50, 91, 152, 239?
358
What comes next: 9, 12, 13, 12, 9?
4
What is next in -2, -3, 0, 7, 18?
33
What comes next: 8, 4, 4, 14, 40?
88
What is next in 311, 561, 821, 1097, 1395, 1721, 2081?
2481
What comes next: 55, 99, 137, 169, 195?
215
What comes next: 124, 119, 114?
109
What comes next: -60, -140, -220, -300?
-380
What is the next term in -51, -185, -401, -693, -1055?
-1481
What is the next term in -4243, -8487, -12733, -16981?
-21231
What comes next: -878, -910, -992, -1148, -1402, -1778, -2300, -2992?
-3878
What is the next term in 225, 448, 671, 894?
1117
What is next in 960, 1917, 2888, 3879, 4896, 5945?
7032
What is next in 45, 86, 127, 168, 209?
250
What is next in 246, 245, 244, 243, 242?
241
What comes next: 1, -18, -39, -62?
-87
What comes next: 28, 43, 58, 73, 88?
103
What is the next term in -1, -5, -9?
-13
What is the next term in 7, -7, -25, -47?
-73
What is the next term in 13, 18, 43, 100, 201, 358, 583?
888
What comes next: -140, -581, -1316, -2345, -3668, -5285?
-7196
What comes next: 51, 127, 203?
279
What comes next: -6, -14, -22, -30, -38, -46?
-54
What comes next: -7, -31, -67, -115, -175?
-247
What comes next: 23, 57, 119, 221, 375, 593, 887, 1269?
1751
What is the next term in 96, 127, 166, 207, 244?
271
What is next in 1025, 1027, 1027, 1025, 1021, 1015, 1007?
997
What is next in 798, 1596, 2394, 3192?
3990
What is the next term in 2, 25, 60, 107, 166, 237?
320
What is next in -24, -3, 66, 207, 444?
801
What comes next: 12, 18, 24, 30?
36
What is next in 8, -11, -34, -67, -116?
-187
What is the next term in 107, 202, 295, 386, 475, 562, 647?
730
What comes next: 38, 48, 58, 68?
78
What is next in -596, -605, -628, -671, -740?
-841
What is the next term in 3879, 3908, 3947, 4002, 4079, 4184, 4323?
4502
What is the next term in -96, -61, -14, 51, 140, 259, 414?
611
What is the next term in -10, -47, -110, -199?
-314
What comes next: -40, -86, -148, -232, -344?
-490
What is the next term in 27, 29, 31, 33, 35?
37
What is the next term in 4219, 8439, 12657, 16873, 21087?
25299
What comes next: 64, 42, 6, -44, -108, -186?
-278
What comes next: -57, -46, -35?
-24
What is the next term in -329, -326, -323?
-320
What is the next term in -351, -348, -345?
-342
What is next in 685, 689, 705, 739, 797, 885?
1009
What is next in 75, 324, 745, 1344, 2127, 3100?
4269
What is the next term in -5, 2, 15, 34, 59, 90?
127
What is the next term in -10, -37, -94, -193, -346?
-565
What comes next: 24, 51, 72, 75, 48, -21?
-144
What is the next term in 8, -24, -68, -130, -216, -332, -484, -678?
-920
What is next in -33, -55, -75, -93, -109?
-123
What comes next: 1, -3, -9, -17?
-27
What comes next: 6, 6, 10, 18, 30, 46, 66?
90
What comes next: -13, -129, -439, -1039, -2025, -3493?
-5539
What is next in -13044, -26089, -39134, -52179, -65224?
-78269
What comes next: 14, 12, 6, -4, -18?
-36
What is the next term in 157, 193, 243, 313, 409, 537, 703?
913
What is the next term in -138, -128, -104, -60, 10, 112, 252?
436
What comes next: 46, -39, -180, -377, -630, -939?
-1304
What is the next term in -42, -58, -92, -150, -238, -362, -528, -742?
-1010
What is the next term in -5133, -10261, -15387, -20511, -25633, -30753?
-35871
What is the next term in -23, -26, -29, -32?
-35
What comes next: 131, 253, 365, 461, 535, 581, 593?
565
What comes next: 5561, 11119, 16675, 22229, 27781, 33331, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
))/sqrt(11).
158*sqrt(3) + 2704
Simplify (1*sqrt(396))**2 + 0 + sqrt(891) - (6*sqrt(275)*2)**2.
-39204 + 9*sqrt(11)
Simplify ((-4*sqrt(1053)*1 - sqrt(1053)) + sqrt(1053) + -3 + -2 + sqrt(1053))**2.
270*sqrt(13) + 9502
Simplify (-1*sqrt(440)*1)/(sqrt(10)*3*5) + -4.
-4 - 2*sqrt(11)/15
Simplify (((4 + sqrt(176) - (sqrt(11) + (sqrt(396) - 2*sqrt(396)))) + -1)*-5)**2.
1350*sqrt(11) + 22500
Simplify -6*(4 + 2 + 1 + sqrt(2736) + ((sqrt(2736) + -1 - sqrt(2736)) + 4 - sqrt(2736))).
-60
Simplify (-6*(5 + (sqrt(245) + 1)*-2) + -2)**2.
-3360*sqrt(5) + 35680
Simplify -5 + 4 + 1*(1 + sqrt(343)) + 6*(sqrt(343)*-1)**2*2.
7*sqrt(7) + 4116
Simplify ((1 + sqrt(1700))*4 + -5 + (sqrt(1700) + (sqrt(1700) + -1)*6)*2)**2.
-4680*sqrt(17) + 550969
Simplify 6*(4 + 3 + sqrt(468) + 3 + 3).
78 + 36*sqrt(13)
Simplify -1*-2*((sqrt(1053) + 3 - sqrt(1053)) + -1)**2 + -2.
6
Simplify (4 + sqrt(1377)*1 - (1 + sqrt(1377) + 2)**2) + -2.
-1384 - 45*sqrt(17)
Simplify 5*(sqrt(2420) + ((sqrt(2420) - (sqrt(2420)*-4 + sqrt(2420))) + sqrt(2420) - sqrt(2420)) - sqrt(20))/(-4*5*sqrt(4)).
-27*sqrt(5)/2
Simplify ((sqrt(200) + -1 + sqrt(200) + -1 - -2*sqrt(200)*6)*-3*-5)**2.
-126000*sqrt(2) + 8820900
Simplify (sqrt(1331)*1 - sqrt(1331))*-5 - 4*sqrt(1331)*4.
-176*sqrt(11)
Simplify 2*(0 + sqrt(2448) + sqrt(17)) - (1*sqrt(1700)*-1 - sqrt(1700)).
46*sqrt(17)
Simplify (-6*sqrt(405)*2 + sqrt(405) - (5*(sqrt(405) + (sqrt(405) + sqrt(405) + -2 - sqrt(405))))**2)*1.
-40600 + 1701*sqrt(5)
Simplify (1 + (0 + sqrt(1216) + 5 - sqrt(1216))*6 + (sqrt(1216) - (-1 + sqrt(1216)))*1 + 0)**2.
1024
Simplify -2 + sqrt(153)*-5 + -1 + -3 + -2.
-15*sqrt(17) - 8
Simplify sqrt(891)*-1 + 0 + -3 + 1 + (sqrt(891)*3)**2*4.
-9*sqrt(11) + 32074
Simplify -2*(5 + 5*((2*sqrt(176) + -1)**2 - (sqrt(176) + sqrt(176) + sqrt(176)*2 + -5 + sqrt(176) + sqrt(176)))).
-7110 + 400*sqrt(11)
Simplify 1*4*(((sqrt(84) + -1*sqrt(84) + sqrt(84) + sqrt(84))*6)/sqrt(12) - (2 + (sqrt(1008))**2)).
-4040 + 48*sqrt(7)
Simplify (4*sqrt(16)*-2)/sqrt(8) + ((sqrt(8))**2*1 - sqrt(18)*1).
-11*sqrt(2) + 8
Simplify (-3*sqrt(972)*-4)/((sqrt(9) - sqrt(9)*1)*1 - ((sqrt(9) - -4*sqrt(81)) + sqrt(9))).
-36*sqrt(3)/7
Simplify ((sqrt(286)/((sqrt(352)/sqrt(8))/sqrt(4)))/(2*sqrt(162)*-3 + sqrt(162)))**2.
13/2025
Simplify (((3*sqrt(550) - sqrt(550))/sqrt(11))/(sqrt(490)*-1 + sqrt(10))*5)**2.
125/9
Simplify 2 + (-5*-1*sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65)*1 - sqrt(65))))*-1)/(sqrt(2000)*2 + sqrt(2000)).
7*sqrt(13)/60 + 2
Simplify (-2*sqrt(40)*1 - sqrt(320)/sqrt(72))/(1*(sqrt(1152)*2 - sqrt(1152))).
-7*sqrt(5)/36
Simplify (2*sqrt(85)*-5)/sqrt(5) - ((sqrt(119) + sqrt(119)*4)*-5)/sqrt(7).
15*sqrt(17)
Simplify 2*((5 + -2 + sqrt(5) - (sqrt(80)*-3 + sqrt(80)))*-2)**2.
432*sqrt(5) + 3312
Simplify ((sqrt(192) - (sqrt(192) + -1*sqrt(192) + -2)) + 3)**2 - (-1 + 1*sqrt(192) + 4).
72*sqrt(3) + 214
Simplify ((1*2*sqrt(77) - (-1*sqrt(77) - sqrt(77))*-5)/(-4*sqrt(44)*1))**2.
7
Simplify 5 + (sqrt(847) + 1 + -2)**2 + (sqrt(847) + -2 + 3 - sqrt(847) - sqrt(847)).
-33*sqrt(7) + 854
Simplify sqrt(637) + -3*sqrt(637) + 3 + -2*(sqrt(1300) + 2).
-34*sqrt(13) - 1
Simplify (sqrt(156)/(sqrt(60)/sqrt(5)*-2))**2 + 3*(3*sqrt(1872) + sqrt(1872) - sqrt(1872))**2.
202189/4
Simplify 5 + -3 + (sqrt(8) - -2*sqrt(16)/sqrt(2))*3*5.
2 + 90*sqrt(2)
Simplify (2*-2*sqrt(425) + 3 + (sqrt(425) - -5*(sqrt(425) + 0)) + sqrt(425)*1 + 5)**2.
240*sqrt(17) + 3889
Simplify (1*sqrt(80)*2)/(sqrt(16)/(sqrt(4)*1)).
4*sqrt(5)
Simplify (-1*(((sqrt(91) - sqrt(91)*-1 - sqrt(91)) + sqrt(91))*-4 - sqrt(91)))/(((sqrt(1701)*2 - sqrt(1701)) + sqrt(1701) + sqrt(1701))/sqrt(3)).
sqrt(13)/3
Simplify ((sqrt(133)*-2 - sqrt(133))*-2 - (sqrt(133) - 2*sqrt(133))*2)/(((sqrt(70) - 2*sqrt(70))*-5)/sqrt(10)).
8*sqrt(19)/5
Simplify (sqrt(180)/sqrt(108))/(sqrt(3) + (sqrt(216)/sqrt(9) + sqrt(24) + sqrt(24) + sqrt(24))/sqrt(8)).
sqrt(5)/15
Simplify (5 + (sqrt(52)/(sqrt(12)/(sqrt(3) + sqrt(18)/sqrt(6))) - sqrt(91)/sqrt(7)*-2*-3))**2.
-40*sqrt(13) + 233
Simplify (-1*sqrt(85)*-1 - (sqrt(85) + -1*sqrt(85) + sqrt(85))*-5)/((sqrt(35) + sqrt(70)/sqrt(2))/sqrt(7)*-3) + -2.
-sqrt(17) - 2
Simplify (sqrt(525)/sqrt(3) - sqrt(35)/(sqrt(5) + sqrt(25)/sqrt(5)))**2*-2*5.
-2835/2
Simplify (1*sqrt(171)*4 + 1 + (sqrt(171) + sqrt(171) + -1 - sqrt(171) - sqrt(171))**2 + sqrt(171))*6.
12 + 90*sqrt(19)
Simplify (sqrt(468) - (sqrt(468) + (sqrt(468) - (sqrt(468) + -3)) + -2)) + (sqrt(468) - (-3 + sqrt(468)*-3 + sqrt(468))).
2 + 18*sqrt(13)
Simplify (-3*-5*-1*sqrt(88))/((sqrt(64) + sqrt(64) + ((-2*sqrt(64) + sqrt(64))*-4 - sqrt(64) - sqrt(64)))/sqrt(8)).
-15*sqrt(11)/4
Simplify (-3*(4*(sqrt(500)*-2 + sqrt(500)) + 2 + 2*sqrt(500))*4)**2.
-11520*sqrt(5) + 288576
Simplify -1*sqrt(51)/sqrt(3) + -2*sqrt(17) + 0 + 2 + (sqrt(17) - sqrt(1088)*-1).
2 + 6*sqrt(17)
Simplify ((-2*5*sqrt(130))/(-1*sqrt(90)) + 4)**2.
80*sqrt(13)/3 + 1444/9
Simplify sqrt(110)/(sqrt(10)*1*1)*-6 + ((-3*sqrt(11))**2*-6 - ((sqrt(44)/sqrt(4) + sqrt(11))**2 + 1)).
-639 - 6*sqrt(11)
Simplify (3 + -1*sqrt(275)*6)**2 - (3 + 4*(sqrt(275) + sqrt(275) + 1)).
-220*sqrt(11) + 9902
Simplify (4 + -1*sqrt(1088))**2 + (sqrt(1088) + -3)*3.
-40*sqrt(17) + 1095
Simplify 0 + 2*sqrt(17)*3 - (6*sqrt(2057)*-2)**2.
-296208 + 6*sqrt(17)
Simplify (-1*sqrt(99)*-3)/(1*sqrt(900)) + (1*sqrt(88)*4)/(sqrt(8) - sqrt(1152)*2).
29*sqrt(11)/230
Simplify (-3 + -3 + 1 + 5 + (sqrt(363)*-3)**2)*4.
13068
Simplify (sqrt(2448) + 2)**2 + 0 - (0 + sqrt(425) + 4*-2*sqrt(17))**2.
48*sqrt(17) + 2299
Simplify 6*(sqrt(637) + (sqrt(637) - (sqrt(637) - 5*sqrt(637))) + sqrt(637) + 1 - sqrt(637))**2 - (-4 + (sqrt(637) + (sqrt(637) + sqrt(637)*-2)*2)**2).
504*sqrt(13) + 136965
Simplify 5*((sqrt(500) - (-5 + sqrt(500)*-1)**2) + (sqrt(80)*1)**2*-1).
-3025 - 450*sqrt(5)
Simplify ((sqrt(117)*1 - sqrt(117))*-6 - sqrt(117))/sqrt(9) + ((0 + sqrt(637))*4 + sqrt(637) - sqrt(637))**2.
-sqrt(13) + 10192
Simplify (1 + sqrt(832) + (sqrt(13) - (sqrt(65)*2)/sqrt(5)))**2 - sqrt(117)/(1*sqrt(576) - sqrt(9)).
97*sqrt(13)/7 + 638
Simplify 5 + 3 + (4*sqrt(36)/sqrt(2))/sqrt(6)*-6.
-24*sqrt(3) + 8
Simplify ((sqrt(110)*-1 + sqrt(110))*4 - (-2*sqrt(110)*-4 + sqrt(110)))/(sqrt(160)*-2 - (sqrt(120) + -2*sqrt(120))/sqrt(12)).
9*sqrt(11)/7
Simplify (sqrt(42)/sqrt(2)*4)/(sqrt(9)/sqrt(3)*-1) - 1*(sqrt(175)*-1*5)**2.
-4375 - 4*sqrt(7)
Simplify (((1*sqrt(882) - sqrt(882))*-6)/(sqrt(81)/(sqrt(9)*-1) - (sqrt(9) - (sqrt(9) - sqrt(9)*2))*-4))**2.
0
Simplify ((sqrt(320) - (sqrt(320) - ((sqrt(320) - (sqrt(320) + -1)) + sqrt(320) - sqrt(320))**2)) + 4 - sqrt(320)) + 3 - (5*(-2 + sqrt(320)*2))**2.
-32092 + 1592*sqrt(5)
Simplify -3 + (sqrt(19)*1)**2 + (sqrt(57)/sqrt(3))**2 + -1 + sqrt(19) - (sqrt(19) + sqrt(133)/sqrt(7))**2*-2*2.
sqrt(19) + 338
Simplify (2 + (-1*sqrt(17) - sqrt(17) - sqrt(17))**2)*-4 + ((sqrt(187) - -2*sqrt(187))*1)/sqrt(11).
-620 + 3*sqrt(17)
Simplify (2*sqrt(78)*2 - -1*(sqrt(78)*1 - sqrt(78) - sqrt(78)))/((sqrt(480)/(sqrt(8)*-3))/sqrt(10)).
-9*sqrt(13)
Simplify -3 + -1*sqrt(11) + 3 + -3 + (sqrt(88)/sqrt(8))**2 + sqrt(11).
8
Simplify (-6*(3 + sqrt(567) + -5 + -4))**2.
-3888*sqrt(7) + 21708
Simplify 1*sqrt(8) + 4 - 2*(-1*sqrt(50) + sqrt(50))**2.
2*sqrt(2) + 4
Simplify (3 + 2*((1 + -3*sqrt(539) - sqrt(539)) + 4))**2.
-1456*sqrt(11) + 34665
Simplify (6*(-4*2*sqrt(98) - (sqrt(242)*2 + -2)))**2.
-11232*sqrt(2) + 438192
Simplify ((2*sqrt(1872) + 5 - sqrt(1872)) + sqrt(1872) + sqrt(1872))**2*-2 + (-2*(sqrt(1872)*2 + sqrt(1872))*-1)**2.
-720*sqrt(13) + 33646
Simplify (sqrt(20)/(sqrt(144)*-2 - sqrt(4)) + sqrt(720)*-1 + 2)**2.
-628*sqrt(5)/13 + 123921/169
Simplify ((sqrt(78) - (sqrt(78) + (sqrt(78) - (sqrt(78) - 1*sqrt(78)))))*-2 + 4*sqrt(78)*-2)/(4*sqrt(60)/(sqrt(30)/sqrt(3))).
-3*sqrt(13)/2
Simplify (-1 + sqrt(20) - (-1 + -1*sqrt(5))) + -1 + 1 + sqrt(5) + 5 + sqrt(5).
5 + 5*sqrt(5)
Simplify (sqrt(396))**2*1 - ((sqrt(77)/sqrt(7) + -5 - sqrt(11))*1)**2.
371
Simplify (((sqrt(5760) - (sqrt(5760) + sqrt(5760)*2)) + sqrt(5760))/sqrt(8) - ((1*sqrt(55) + sqrt(55))/sqrt(11) + sqrt(20)/sqrt(4)*-5))**2.
405
Simplify (-1 + ((sqrt(800) + -3*sqrt(800) + sqrt(800) + sqrt(800))**2 - sqrt(800))*-4)*2.
-2 + 160*sqrt(2)
Simplify (0 + -1*1*sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + 4.
1092
Simplify (sqrt(250)*3)/(sqrt(2)*-5*-1).
3*sqrt(5)
Simplify ((sqrt(720)*2*4)/(1*sqrt(900)*-4))**2.
16/5
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by 7.
4
Calculate the remainder when 124883 is divided by 477.
386
Calculate the remainder when 79741 is divided by 26.
25
What is the remainder when 199781 is divided by 34?
31
Calculate the remainder when 17280 is divided by 1232.
32
What is the remainder when 316768 is divided by 13?
10
Calculate the remainder when 83830 is divided by 12.
10
Calculate the remainder when 8436 is divided by 148.
0
Calculate the remainder when 670 is divided by 660.
10
Calculate the remainder when 1417 is divided by 198.
31
What is the remainder when 380794 is divided by 28?
22
Calculate the remainder when 87879 is divided by 43874.
131
What is the remainder when 577 is divided by 57?
7
Calculate the remainder when 2682864 is divided by 370.
364
Calculate the remainder when 462022 is divided by 36.
34
Calculate the remainder when 29122 is divided by 7256.
98
What is the remainder when 116060 is divided by 186?
182
Calculate the remainder when 32414 is divided by 612.
590
Calculate the remainder when 50783 is divided by 16819.
326
What is the remainder when 15483 is divided by 377?
26
Calculate the remainder when 106844 is divided by 255.
254
What is the remainder when 462381 is divided by 169?
166
Calculate the remainder when 553180 is divided by 8135.
0
What is the remainder when 1512 is divided by 1452?
60
Calculate the remainder when 92925 is divided by 794.
27
Calculate the remainder when 27177 is divided by 19.
7
Calculate the remainder when 3466 is divided by 170.
66
Calculate the remainder when 54824 is divided by 86.
42
What is the remainder when 941969 is divided by 218?
209
Calculate the remainder when 6700 is divided by 216.
4
What is the remainder when 417994 is divided by 36?
34
Calculate the remainder when 75118 is divided by 79.
68
What is the remainder when 42425 is divided by 92?
13
Calculate the remainder when 1426 is divided by 59.
10
Calculate the remainder when 21245 is divided by 462.
455
What is the remainder when 101174 is divided by 16?
6
Calculate the remainder when 316299 is divided by 572.
555
What is the remainder when 54107 is divided by 328?
315
What is the remainder when 59705 is divided by 1454?
91
What is the remainder when 81370 is divided by 465?
460
Calculate the remainder when 88709 is divided by 1344.
5
What is the remainder when 91446 is divided by 205?
16
Calculate the remainder when 369894 is divided by 13.
5
What is the remainder when 56118 is divided by 230?
228
Calculate the remainder when 22484 is divided by 7488.
20
What is the remainder when 84956 is divided by 80?
76
Calculate the remainder when 5731 is divided by 811.
54
Calculate the remainder when 6667 is divided by 41.
25
Calculate the remainder when 477553 is divided by 387.
382
Calculate the remainder when 3859 is divided by 555.
529
Calculate the remainder when 168089 is divided by 13.
12
What is the remainder when 646 is divided by 74?
54
Calculate the remainder when 126780 is divided by 14.
10
What is the remainder when 34927 is divided by 142?
137
What is the remainder when 7150 is divided by 511?
507
Calculate the remainder when 91529 is divided by 714.
137
Calculate the remainder when 1705 is divided by 655.
395
What is the remainder when 6753263 is divided by 95?
93
What is the remainder when 3460196 is divided by 38?
30
Calculate the remainder when 90706 is divided by 424.
394
Calculate the remainder when 13596 is divided by 545.
516
Calculate the remainder when 56967 is divided by 61.
54
Calculate the remainder when 10731 is divided by 10716.
15
Calculate the remainder when 11401 is divided by 176.
137
Calculate the remainder when 4306 is divided by 187.
5
What is the remainder when 7293 is divided by 3642?
9
Calculate the remainder when 7889 is divided by 7.
0
What is the remainder when 7052 is divided by 3522?
8
What is the remainder when 6682 is divided by 1334?
12
What is the remainder when 1018192 is divided by 613?
612
Calculate the remainder when 30188 is divided by 14.
4
Calculate the remainder when 2167 is divided by 988.
191
What is the remainder when 3431 is divided by 2114?
1317
What is the remainder when 9360 is divided by 164?
12
What is the remainder when 69694 is divided by 16?
14
What is the remainder when 16709 is divided by 486?
185
Calculate the remainder when 60952 is divided by 4353.
10
Calculate the remainder when 1481 is divided by 167.
145
What is the remainder when 33284 is divided by 46?
26
What is the remainder when 4138025 is divided by 1698?
1697
What is the remainder when 5556 is divided by 2776?
4
Calculate the remainder when 92864 is divided by 81.
38
What is the remainder when 23780 is divided by 175?
155
Calculate the remainder when 997 is divided by 580.
417
Calculate the remainder when 65958 is divided by 25.
8
Calculate the remainder when 46299 is divided by 46.
23
What is the remainder when 69590 is divided by 4?
2
Calculate the remainder when 9629 is divided by 1136.
541
What is the remainder when 301459 is divided by 52?
15
What is the remainder when 108328 is divided by 169?
168
Calculate the remainder when 287035 is divided by 238.
7
Calculate the remainder when 4416 is divided by 353.
180
Calculate the remainder when 8385 is divided by 8380.
5
Calculate the remainder when 2482 is divided by 774.
160
What is the remainder when 45936 is divided by 39?
33
Calculate the remainder when 750 is divided by 158.
118
Calculate the remainder when 46915 is divided by 297.
286
Calculate the remainder when 40736 is divided by 40702.
34
Calculate the remainder when 275231 is divided by 91723.
62
What is the remainder when 51960 is divided by 114?
90
Calculate the remainder when 121706 is divided by 9.
8
Calculate the remainder when 38321 is divided by 50.
21
What is the remainder when 84 is divided by 51?
33
Calculate the remainder when 4105 is divided by 1022.
17
Calculate the remainder when 45967 is divided by 417.
97
Calculate the remainder when 3857 is divided by 11.
7
What is the remainder when 47958 is divided by 181?
174
Calculate the remainder when 188505 is divided by 276.
273
What is the remainder when 6706 is divided by 485?
401
What is the remainder when 131973 is divided by 376?
373
Calculate the remainder when 4841 is divided by 113.
95
Calculate the remainder when 7357 is divided by 2407.
136
Calculate the remainder when 3086148 is divided by 87.
84
What is the remainder when 307885 is divided by 102604?
73
What is the remainder when 84 is divided by 80?
4
What is the remainder when 34361 is divided by 29?
25
What is the remainder when 202575 is divided by 101278?
19
What is the remainder when 3532 is divided by 77?
67
What is the remainder when 3994 is divided by 2678?
1316
Calculate the remainder when 33397 is divided by 16695.
7
Calculate the remainder when 404798 is divided by 320.
318
Calculate the remainder when 1332 is divided by 240.
132
What is the remainder when 17972 is divided by 11?
9
Calculate the remainder when 884 is divided by 250.
134
Calculate the remainder when 41343 is divided by 209.
170
Calculate the remainder when 75017 is divided by 20.
17
What is the remainder when 2721 is divided by 381?
54
What is the remainder when 5716 is divided by 673?
332
What is the remainder when 136447 is divided by 190?
27
Calculate the remainder when 885 is divided by 400.
85
Calculate the remainder when 85102 is divided by 49.
38
What is the remainder when 6513 is divided by 326?
319
Calculate the remainder when 131863 is divided by 65924.
15
Calculate the remainder when 13632 is divided by 18.
6
Calculate the remainder when 76 is divided by 32.
12
Calculate the remainder when 29467 is divided by 225.
217
What is the remainder when 5323 is divided by 138?
79
What is the remainder when 223766 is divided by 756?
746
Calculate the remainder when 6210 is divided by 6187.
23
Calculate the remainder when 144745 is divided by 386.
381
Calculate the remainder when 25026 is divided by 2274.
12
What is the remainder when 3049 is divided by 1482?
85
Calculate the remainder when 19497 is divided by 527.
525
What is the remainder when 752134 is divided by 462?
460
What is the remainder when 79221 is divided by 5657?
23
What is the remainder when 673003 is divided by 15?
13
Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
1*(-5)/((-20)/(-12)). Let k be -6*((-40)/12 - p). Determine z, given that -1/4*z**k + 0*z + 1/4 = 0.
-1, 1
Let w(d) = -3*d**2 - 2*d + 5. Let z(o) = 3*o**2 + o - 4. Let g be (-108)/26 - 8/(-52). Let j(v) = g*w(v) - 5*z(v). Suppose j(q) = 0. What is q?
0, 1
Let h(w) = w + 10. Let t be h(-8). What is o in 2*o + 0*o**2 - t*o**2 + 4*o**2 = 0?
-1, 0
Factor -k**4 + 2*k**2 - 2*k + 3*k + 3*k**3 - 4*k**2 - k**2.
-k*(k - 1)**3
Let z = -143 - -207. Solve -6*m**3 + 88*m**2 - 42*m**3 + 16 + 7*m**4 - z*m + 2*m**4 = 0 for m.
2/3, 2
Suppose -4/3*q + 0 - 2/3*q**2 = 0. What is q?
-2, 0
Factor -2/17*p**2 - 6/17 - 8/17*p.
-2*(p + 1)*(p + 3)/17
Let i be 0/((-2)/(-4)*-2). Suppose y - 4*y = -6. Factor 0 + i*a + 0*a**y + 2/7*a**3.
2*a**3/7
Suppose 0 = 3*h - n - 2*n + 12, 3*n + 2 = -4*h. Let m be ((-4)/45)/h*10. Factor 2/9 + 2/9*u**2 + m*u.
2*(u + 1)**2/9
Let v(c) be the second derivative of 7*c**6/225 + 37*c**5/150 + 59*c**4/90 + 7*c**3/9 + 2*c**2/5 - 2*c + 4. Suppose v(s) = 0. Calculate s.
-3, -1, -2/7
Let v(l) be the second derivative of -l**7/21 + 2*l**6/15 + l**5/10 - l**4/3 + 23*l. Solve v(u) = 0 for u.
-1, 0, 1, 2
Let u(p) be the first derivative of -3 - 1/12*p**6 - 1/4*p**2 + 0*p + 2/3*p**3 - 3/4*p**4 + 2/5*p**5. Let u(d) = 0. What is d?
0, 1
Suppose -4*f = 4*t - 76, -3*f + 55 = -5*t + 14. Suppose 23 + f = 4*g. Suppose -g*m**2 + 0 - 2*m - 25/2*m**3 = 0. What is m?
-2/5, 0
Let c(d) be the first derivative of -d**6/24 + 3*d**4/16 + d**3/6 - 9. Determine s, given that c(s) = 0.
-1, 0, 2
Let q(l) be the first derivative of -l**5 + 5*l**4 + 5*l**3/3 - 10*l**2 + 11. Factor q(n).
-5*n*(n - 4)*(n - 1)*(n + 1)
Factor 20*o - 8 + 12 - 32*o**4 - 6 + 80*o**3 - 66*o**2.
-2*(o - 1)**2*(4*o - 1)**2
Suppose 3*f + 0*f - 6 = 0. Suppose -g - 3 = -f*g. Solve u**2 + 0*u**5 + u**3 + 0*u**5 - u**4 + 0*u**g - u**5 = 0.
-1, 0, 1
Let p(h) be the second derivative of h**7/420 + h**6/300 - 3*h**5/200 - h**4/120 + h**3/30 - 9*h. Find v, given that p(v) = 0.
-2, -1, 0, 1
Let v(n) be the third derivative of -n**6/2160 + n**5/360 - n**3/6 + 3*n**2. Let y(k) be the first derivative of v(k). Factor y(r).
-r*(r - 2)/6
Let u(c) be the third derivative of c**6/420 - c**5/105 - c**4/84 + 2*c**3/21 + 5*c**2. Find g such that u(g) = 0.
-1, 1, 2
Suppose 5 - 30 = 5*u. Let g be (-28)/u + (-6)/10. Factor -8/11*v**g - 14/11*v - 50/11*v**3 - 38/11*v**2 - 2/11 - 32/11*v**4.
-2*(v + 1)**3*(2*v + 1)**2/11
What is w in 4*w + 3*w**2 + 2 + 1/8*w**4 + w**3 = 0?
-2
Let v(s) be the third derivative of -1/735*s**7 + 1/210*s**5 + 0*s + 0 - 1/420*s**6 + 0*s**3 + 1/84*s**4 + s**2. Determine h, given that v(h) = 0.
-1, 0, 1
Let 1/4*y**2 + 3/4*y + 1/2 = 0. Calculate y.
-2, -1
What is c in 0*c - 32/3*c**4 + 2*c**5 + 12*c**2 + 0 + 10*c**3 = 0?
-2/3, 0, 3
Let q(a) be the third derivative of a**6/200 - a**5/25 + a**4/10 - 27*a**2. Suppose q(p) = 0. Calculate p.
0, 2
Suppose -w + 1 = -1. Let -2 + 7 + 4*h + 3 - 4*h**w = 0. Calculate h.
-1, 2
Let c(s) = -s**3 + 6*s**2 - 6*s. Let z be c(5). Let x = 9 + z. Solve -2*d**5 - 3*d**x + d**5 + d**4 - d**3 = 0 for d.
-1, 0
Let x(s) be the first derivative of -2/3*s**3 - 5 + 0*s + s**4 - 2/5*s**5 + 0*s**2. Find i such that x(i) = 0.
0, 1
Let j = 251 + -251. Let i(x) = -x. Let a be i(-3). Solve 3/4*d**4 - 1/2*d + j + 1/2*d**a - 3/4*d**2 = 0 for d.
-1, -2/3, 0, 1
Let x(j) be the first derivative of 7*j**5/20 + 4*j**4/3 + 11*j**3/6 + j**2 - 3*j + 5. Let b(v) be the first derivative of x(v). Factor b(t).
(t + 1)**2*(7*t + 2)
Let w(v) be the second derivative of -v**6/108 + v**5/60 + v**4/18 + v**3/2 + 2*v. Let p(i) be the second derivative of w(i). What is s in p(s) = 0?
-2/5, 1
Let n(m) be the first derivative of -3*m**5/10 - 13*m**4/6 - 16*m**3/3 - 4*m**2 - 2*m - 3. Let d(j) be the first derivative of n(j). Factor d(u).
-2*(u + 2)**2*(3*u + 1)
Let d(w) = -2*w**3 - 14*w**2 - 5*w - 31. Let i be d(-7). Solve 2*t**i - 2*t**2 + 2/3*t**3 - 2/3*t + 0 = 0.
-1, -1/3, 0, 1
Let r(n) be the third derivative of n**6/900 - n**5/450 - n**4/180 + n**3/45 + 15*n**2. Factor r(i).
2*(i - 1)**2*(i + 1)/15
Let a(r) be the first derivative of r**6/2 + 3*r**5/5 - 3*r**4/2 - 2*r**3 + 3*r**2/2 + 3*r - 20. Factor a(t).
3*(t - 1)**2*(t + 1)**3
Let z be 80 + (-8)/(2 - -2). Let x = -232/3 + z. Suppose 0 + 2/3*h**3 + 0*h + x*h**2 = 0. Calculate h.
-1, 0
Suppose -4*w + 6 = -6. Suppose -w*q + 0*q = 0. Factor 1/2*l**3 - 1/2*l**2 + 0*l + q.
l**2*(l - 1)/2
Let -24*c - 3*c**3 - 8 - 42*c + 21*c - 19 - 21*c**2 = 0. Calculate c.
-3, -1
Let o(j) = -3*j**3 - 4*j**2 - 7*j + 7. Let z(i) = -5 + 2*i + i**3 + i**2 - 4 + 7. Let f(r) = -2*o(r) - 7*z(r). Factor f(k).
-k**2*(k - 1)
Let f = 1098 + -7684/7. What is k in f + 4/7*k + 2/7*k**2 = 0?
-1
Let p(l) be the second derivative of 0 - 15/56*l**7 - 1/10*l**6 + 7/24*l**4 + l - 7/24*l**3 - 1/4*l**2 + 13/20*l**5. Solve p(v) = 0.
-1, -1/3, 2/5, 1
Let i = 1/77 - -3/11. Let q be (-6)/28*-6 - 1. Factor 0 + 0*o**2 - q*o + i*o**3.
2*o*(o - 1)*(o + 1)/7
Let o be ((-260)/(-75) + -4)*-10. Let y(p) be the first derivative of 2*p - 7*p**2 + o*p**3 + 8*p**4 - 2. Determine g so that y(g) = 0.
-1, 1/4
Let a = -18 + 19. Let k(f) be the first derivative of 0*f - 1/9*f**3 + 1/6*f**2 + a. Factor k(b).
-b*(b - 1)/3
Let h(x) be the second derivative of x + 0 + 1/6*x**4 - 3/50*x**5 + 0*x**2 - 1/15*x**3 - 3/25*x**6. Factor h(k).
-2*k*(k + 1)*(3*k - 1)**2/5
Let s(u) be the first derivative of 2 - 1/9*u**3 - 1/12*u**4 + 0*u**2 + 0*u. Factor s(r).
-r**2*(r + 1)/3
Let s = -43 - -47. Let l(f) be the third derivative of -1/60*f**6 - 1/42*f**5 + 0 - 3*f**2 + 1/42*f**s + 0*f + 0*f**3. Solve l(z) = 0.
-1, 0, 2/7
Let g(u) be the second derivative of -u**6/90 - u**5/12 - u**4/4 - 7*u**3/18 - u**2/3 - 4*u. Let g(z) = 0. What is z?
-2, -1
Let x = -6 + 7. Let r(b) be the first derivative of 0*b - 1/2*b**4 + b**2 - 2/3*b**3 - x + 2/5*b**5. Factor r(g).
2*g*(g - 1)**2*(g + 1)
Let -3*g - 4*g**2 + 3*g**2 + 0*g = 0. What is g?
-3, 0
Let y(n) be the second derivative of -80*n**7/63 - 8*n**6/45 + 91*n**5/30 + 5*n**4/9 - 11*n**3/9 - 2*n**2/3 + 3*n. Suppose y(z) = 0. Calculate z.
-1, -1/4, 2/5, 1
Determine i, given that 6/17*i**3 - 2/17*i**4 + 0 - 2/17*i**5 + 4/17*i + 10/17*i**2 = 0.
-1, 0, 2
Let a(v) be the third derivative of -v**8/112 + v**7/70 + v**6/8 - v**5/20 - v**4 - 2*v**3 - 13*v**2. Factor a(l).
-3*(l - 2)**2*(l + 1)**3
Suppose -5*q = -k, -4*k = q - 2*q. Let x(f) be the third derivative of 3*f**2 + 1/30*f**5 + 1/6*f**4 + 0*f + 0 + q*f**3. Determine t, given that x(t) = 0.
-2, 0
Let v(c) be the second derivative of -5*c**4/12 - 5*c**3/6 + 5*c**2 + 14*c. Suppose v(a) = 0. What is a?
-2, 1
Let v(n) be the first derivative of n**4/16 + 5*n**3/12 + 3*n**2/4 - 9. Suppose v(m) = 0. What is m?
-3, -2, 0
Determine p, given that 0*p**2 + 3 + 9/2*p - 3/2*p**3 = 0.
-1, 2
Let o(s) be the third derivative of -s**7/315 - s**6/180 + 14*s**2. Factor o(b).
-2*b**3*(b + 1)/3
Let p(c) be the first derivative of 0*c + 2*c**2 - c**4 - 6/5*c**5 + 2*c**3 - 1. Let p(g) = 0. Calculate g.
-1, -2/3, 0, 1
Let b(p) be the third derivative of -p**7/1540 - p**6/180 - 2*p**5/165 + p**4/33 - p**3 + p**2. Let r(t) be the first derivative of b(t). What is z in r(z) = 0?
-2, 1/3
Let c(u) be the second derivative of 0 + 2*u**4 + 16*u**2 - 8*u**3 + 4*u - 1/5*u**5. Solve c(v) = 0.
2
Let k(a) be the third derivative of 0*a + 0*a**3 + 0*a**4 - 2*a**2 - 1/420*a**7 + 0 - 1/120*a**5 + 1/120*a**6. Solve k(m) = 0 for m.
0, 1
Let k(c) be the second derivative of -1/8*c**2 - 3*c - 1/48*c**4 + 0 - 1/12*c**3. Factor k(b).
-(b + 1)**2/4
Determine h so that 11*h - 3*h - 5*h**2 + 3*h - 20 + 14*h = 0.
1, 4
Let k = 32555/42 - 4169/6. Let y = k + -80. Factor -2/7*j**5 + 0 + 4/7*j**4 - 4/7*j**2 + 0*j**3 + y*j.
-2*j*(j - 1)**3*(j + 1)/7
Suppose 2*x - 11 = -7. Let m(w) = 2*w - 6. Let f be m(4). Find s such that -f*s**3 - 3*s + 4*s**2 - s + 0*s**x + 2*s = 0.
0, 1
Let l(u) be the third derivative of u**6/24 + u**5/12 - 5*u**4/24 - 5*u**3/6 + 9*u**2. Factor l(p).
5*(p - 1)*(p + 1)**2
Suppose -2*j + 5*d + 7 = -0*j, -j + 5*d - 9 = 0. Suppose j = -3*h + 94. Suppose -2 + 6*y - 3*y - 6*y**4 - h*y**2 + 2*y**2 + 9*y + 20*y**3 = 0. What is y?
1/3, 1
Factor -3/2*i**3 + 3/2*i - 3*i**2 + 3/4*i**4 + 9/4.
3*(i - 3)*(i - 1)*(i + 1)**2/4
Let r(g) be the first derivative of 1 - 1/24*g**4 + 1/6*g**3
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of picking 4 i.
1/204
Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {r: 6, z: 4}.
3/10
Two letters picked without replacement from {i: 7, l: 5}. What is prob of picking 1 i and 1 l?
35/66
What is prob of picking 2 g and 2 p when four letters picked without replacement from noopgpmg?
1/70
Two letters picked without replacement from aaaaaaasassdsssadss. Give prob of picking 1 s and 1 d.
16/171
Calculate prob of picking 2 n when two letters picked without replacement from znnzzzn.
1/7
Three letters picked without replacement from {u: 6, z: 3, a: 2, i: 1, c: 1}. What is prob of picking 1 c, 1 a, and 1 i?
1/143
Three letters picked without replacement from {a: 8, e: 3}. What is prob of picking 3 e?
1/165
What is prob of picking 1 q and 1 i when two letters picked without replacement from lqxlxlxili?
2/45
Calculate prob of picking 1 n and 2 o when three letters picked without replacement from hsnooddx.
1/56
What is prob of picking 2 e when two letters picked without replacement from {e: 11, v: 1, i: 1}?
55/78
What is prob of picking 1 o, 1 s, 1 p, and 1 g when four letters picked without replacement from {o: 1, g: 4, s: 5, h: 1, p: 3}?
60/1001
What is prob of picking 2 w, 1 z, and 1 v when four letters picked without replacement from zwwzvwiziizviv?
36/1001
Two letters picked without replacement from oroooorroorooooroooo. Give prob of picking 2 o.
21/38
Four letters picked without replacement from qqqqqqqcqcq. What is prob of picking 4 q?
21/55
Four letters picked without replacement from {n: 13, s: 3, x: 2}. Give prob of picking 2 x, 1 n, and 1 s.
13/1020
Two letters picked without replacement from {u: 1, i: 1, d: 1, q: 1, b: 1}. Give prob of picking 1 d and 1 i.
1/10
What is prob of picking 1 x and 1 p when two letters picked without replacement from xxnkppkkkppnpnnnoxx?
20/171
Calculate prob of picking 2 l and 2 q when four letters picked without replacement from lllqqqltl.
5/21
Two letters picked without replacement from {g: 1, e: 6, k: 3, y: 3, j: 1, b: 1}. Give prob of picking 2 e.
1/7
Four letters picked without replacement from okodozkoodkd. What is prob of picking 1 z and 3 k?
1/495
Calculate prob of picking 1 m and 2 x when three letters picked without replacement from {e: 1, x: 4, l: 2, m: 2, n: 3}.
3/55
Three letters picked without replacement from {h: 5, l: 3, f: 8}. Give prob of picking 2 f and 1 l.
3/20
Two letters picked without replacement from ddddddddd. Give prob of picking 2 d.
1
Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, y: 2}.
3/10
What is prob of picking 2 u when two letters picked without replacement from unsusnsss?
1/36
Three letters picked without replacement from {c: 1, u: 3, n: 2, e: 1}. What is prob of picking 2 u and 1 n?
6/35
What is prob of picking 2 f and 1 b when three letters picked without replacement from {b: 3, f: 2}?
3/10
What is prob of picking 1 l and 2 f when three letters picked without replacement from {j: 6, l: 3, k: 4, f: 6}?
15/323
Two letters picked without replacement from {c: 1, w: 2, z: 2, e: 2, g: 1}. Give prob of picking 1 g and 1 z.
1/14
What is prob of picking 1 q and 1 w when two letters picked without replacement from qwbib?
1/10
Four letters picked without replacement from {w: 2, x: 1, m: 4, n: 3}. Give prob of picking 1 n, 1 w, and 2 m.
6/35
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from bzncbngynggz.
1/33
Four letters picked without replacement from jjqkkjjbvbjjvbbwj. Give prob of picking 2 k and 2 j.
3/340
Calculate prob of picking 2 x when two letters picked without replacement from {o: 5, x: 3}.
3/28
What is prob of picking 1 a and 3 o when four letters picked without replacement from ooaaooaoaooa?
35/99
Calculate prob of picking 3 w when three letters picked without replacement from iwdijdiwawiidia.
1/455
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from rccrwchcwccrrwrwcc.
4/153
Four letters picked without replacement from eeeeeeebewebee. What is prob of picking 4 e?
30/91
Calculate prob of picking 2 a when two letters picked without replacement from {a: 10}.
1
Calculate prob of picking 2 o, 1 j, and 1 i when four letters picked without replacement from ojjijoiooooooiiooo.
11/51
Calculate prob of picking 1 g, 1 z, and 1 r when three letters picked without replacement from rrzrrgrzgg.
1/4
Four letters picked without replacement from nwnnnwwwnnnnnnnnwnn. What is prob of picking 2 n and 2 w?
455/1938
Three letters picked without replacement from xaxcxsaxaxascsbaa. What is prob of picking 1 s, 1 a, and 1 b?
9/340
Calculate prob of picking 3 e and 1 q when four letters picked without replacement from {q: 7, e: 4, w: 2}.
28/715
What is prob of picking 4 r when four letters picked without replacement from {r: 4, m: 2}?
1/15
Three letters picked without replacement from vkiiekheeekkivjiev. Give prob of picking 1 i, 1 e, and 1 j.
5/204
Three letters picked without replacement from {p: 2, m: 4}. Give prob of picking 2 m and 1 p.
3/5
What is prob of picking 1 i, 1 l, 1 b, and 1 q when four letters picked without replacement from bbycqybcyiqcbll?
16/1365
Two letters picked without replacement from gupgdddgudpugdzg. Give prob of picking 1 p and 1 z.
1/60
Three letters picked without replacement from {v: 10, n: 1, y: 3, x: 3, p: 2}. What is prob of picking 1 p and 2 y?
2/323
Four letters picked without replacement from {i: 1, r: 1, x: 1, g: 1, h: 2, p: 1}. What is prob of picking 1 h, 1 g, 1 r, and 1 i?
2/35
What is prob of picking 1 m, 1 h, and 2 l when four letters picked without replacement from mmhhlmlm?
4/35
Two letters picked without replacement from ylllyy. What is prob of picking 2 y?
1/5
Calculate prob of picking 1 o and 1 d when two letters picked without replacement from osoxxodxnn.
1/15
Four letters picked without replacement from hbbqybbbhhhyb. What is prob of picking 2 b and 2 h?
18/143
What is prob of picking 1 o and 1 v when two letters picked without replacement from cvovaboocbcavoabcoov?
12/95
What is prob of picking 3 o and 1 z when four letters picked without replacement from zoozsoz?
3/35
Two letters picked without replacement from {o: 4, g: 4, s: 2}. What is prob of picking 2 g?
2/15
Two letters picked without replacement from gggzittg. What is prob of picking 2 g?
3/14
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uuuuuuuzzuuu.
10/33
Two letters picked without replacement from {k: 2, r: 2}. What is prob of picking 1 k and 1 r?
2/3
Four letters picked without replacement from ottocccctctt. What is prob of picking 2 o and 2 c?
2/99
Calculate prob of picking 2 e and 2 b when four letters picked without replacement from bbbbebe.
2/7
Two letters picked without replacement from {i: 2, h: 4}. Give prob of picking 2 i.
1/15
Calculate prob of picking 3 u when three letters picked without replacement from xuuxuxdxxxxuxx.
1/91
Two letters picked without replacement from {v: 5, c: 2, s: 1, j: 5, o: 2, h: 1}. What is prob of picking 1 h and 1 v?
1/24
Two letters picked without replacement from {t: 1, s: 1, x: 1, h: 1, n: 1}. Give prob of picking 1 s and 1 n.
1/10
Two letters picked without replacement from {z: 2, n: 1, q: 1}. What is prob of picking 1 z and 1 n?
1/3
Two letters picked without replacement from {d: 1, x: 1, a: 4, z: 1, c: 2}. Give prob of picking 1 x and 1 z.
1/36
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 7, d: 3, r: 2, l: 7, k: 1}.
49/190
Two letters picked without replacement from {w: 8, z: 5, k: 5}. What is prob of picking 2 z?
10/153
Calculate prob of picking 1 b and 1 j when two letters picked without replacement from bbjwjjbjjb.
4/9
Two letters picked without replacement from vjehh. Give prob of picking 1 j and 1 v.
1/10
What is prob of picking 2 x when two letters picked without replacement from {q: 6, x: 2}?
1/28
What is prob of picking 2 x when two letters picked without replacement from {o: 7, x: 7}?
3/13
Three letters picked without replacement from jjii. Give prob of picking 1 i and 2 j.
1/2
What is prob of picking 4 n when four letters picked without replacement from {n: 7}?
1
What is prob of picking 1 j
|
{
"pile_set_name": "DM Mathematics"
}
|
)*-1))/1.
11
Calculate (-29)/580*((-10)/(-6))/(22/99).
-3/8
What is the value of ((45/25)/3)/(378/(-140))?
-2/9
What is the value of ((-850)/1360)/(10/8)?
-1/2
What is the value of (-2*1/6)/(-7*20/420)?
1
What is (160/(-56))/((-375)/3150)?
24
What is (-28)/10*22/(-231)*15?
4
(7/(-42))/(((-198)/(-3432))/(9/2))
-13
Evaluate 39/(-104)*(-168)/(-315).
-1/5
((-8)/(-112))/((-315)/(-294))
1/15
((456/(-19))/12)/(-11)
2/11
Calculate (-2)/(-4)*128/(-832).
-1/13
Calculate 3/351*9*6/(-3).
-2/13
(11/(165/(-20)))/((-56)/42*1)
1
Calculate (-2)/((-16)/52)*(-168)/(-364).
3
Evaluate 2/(-4)*(-1773)/591.
3/2
What is (4*(-1)/(-3))/(23/((-15525)/(-60)))?
15
Evaluate (3*(-3)/(-15))/(1/15*1).
9
What is (-15)/6*(-357)/255?
7/2
What is ((-2)/((-18)/(-21)))/(194/582)?
-7
What is ((-66)/(-24))/((-9)/36)?
-11
Calculate 2/4*(640/20)/8.
2
(-2)/(-5)*(-462)/924
-1/5
What is the value of (-7)/((-70)/(-24))*20/(-12)*3?
12
What is the value of (2/6)/((-57)/(-209)*7/(-63))?
-11
What is the value of ((2475/(-30))/(-33))/(1*(-30)/(-21))?
7/4
What is the value of ((10/(-75))/2)/(30/((-56430)/(-19)))?
-33/5
Evaluate (((-374)/88)/17)/(6/(-9)*-3).
-1/8
What is the value of ((-4341)/20258)/((-4)/(-14)*4)?
-3/16
What is the value of ((-4)/4)/(69/1932)?
-28
(7/(-21))/(2*26/12)
-1/13
What is the value of 66/(-12474)*-63*12/(-46)?
-2/23
What is 21/126*-6*-12?
12
Calculate ((4/6)/(32/(-16)))/((-50)/90).
3/5
What is the value of 4590/5508*(-18)/40?
-3/8
2*45/12*(-47)/(7520/(-384))
18
What is the value of (-80)/(-12)*(-2370)/(-1975)?
8
Evaluate 47/(2397/170)*18/5.
12
(33/(429/(-221)))/(2/2)
-17
What is (4/15)/4*(-104)/(-3900)*125?
2/9
Calculate -138*33/2376*-12.
23
What is 18/936*2*4?
2/13
(-5)/(-6)*963/1070
3/4
((-39)/(-4095))/(1/3)
1/35
(-5)/(-20)*32/(-12)
-2/3
What is (((-138)/115)/(4/15))/(24/32)?
-6
What is ((30/(-45))/1)/((-10)/(-36)*3)?
-4/5
Evaluate ((120/(-16))/3)/(-1)*(-90)/25.
-9
Calculate 7/(((-18)/30)/(9/30)).
-7/2
Evaluate (225/6)/15*(8/(-1))/(-120).
1/6
What is 2/(-4)*2*(-11)/(121/(-22))?
-2
Evaluate ((-13)/(-78)*45/10)/(1/(-4)).
-3
Evaluate ((-1)/4)/((-3)/(-16))*16/96.
-2/9
Calculate 9/6*1/(-2)*(-24)/48.
3/8
(3/(-6))/((-1)/22)
11
What is ((-135)/(-525))/(99/1617)?
21/5
Evaluate 8/(-12)*3*1/2.
-1
What is the value of (10/(-8)*(-452)/1130)/(2/(-32))?
-8
28/(-8)*(-1248)/(-182)
-24
What is ((-15)/(-9))/(((-3850)/(-132))/5)?
2/7
Calculate ((-10725)/(-1375))/((-39)/(-60)).
12
(-2)/28*1385/2770
-1/28
Calculate -6*-8*(-231)/396.
-28
5*26/(-1365)*(-11)/(396/81)
3/14
Calculate 156/(-130)*7400/222.
-40
What is the value of (-4446)/988*22/(-9)?
11
Evaluate (4*(-35)/(-84))/(9/(135/(-20))).
-5/4
Evaluate (-1161)/5805*2/(-1).
2/5
(-12)/39168*-8*8
1/51
What is (1968/1230)/((-36)/(-6)*-1)?
-4/15
Calculate 4/(-24)*3*10/60*12.
-1
What is the value of (-11)/(5280/8)*(-69)/(-23)?
-1/20
What is the value of (((-1)/((-11)/4))/(1006/5533))/(-2)?
-1
((-35)/(3185/78))/((-4)/6)
9/7
Calculate (-28*17/(-1666))/(12/(-6)).
-1/7
What is (-1*1/3)/(140/168)?
-2/5
What is the value of 486/(-594)*3/9?
-3/11
Evaluate (-9)/120*(-12)/12*(-12)/18.
-1/20
Evaluate 10*28*22/8624.
5/7
What is the value of (-2)/((112/(-72))/7)?
9
Calculate (((-13024)/64)/(-37))/(1/2).
11
Calculate (-12)/10*24*(-330)/352.
27
What is 9/(-13)*34/102?
-3/13
Calculate ((-2112)/(-320))/(15/50).
22
Evaluate 4/10*-16*360/3456.
-2/3
6*(-2)/(-84)*1*12/3
4/7
(-36)/(-4536)*42*(-9)/10
-3/10
Calculate (-2)/(-14)*(-12)/((-420)/(-4165)).
-17
Calculate ((-102)/(-10))/(-16*51/(-680)).
17/2
-21*(-4)/1540*-10*(-22)/16
3/4
-1*((-5)/((-510)/4))/((-4)/12)
2/17
What is (6*-2*(-2)/6)/((-152)/(-6))?
3/19
Evaluate (35/(1680/(-32)))/((-2)/(-6))*8.
-16
39/9750*-40*(-10)/12
2/15
What is 10/14*9*(-33)/1980?
-3/28
What is the value of (10/8)/((-150)/2520*-7)?
3
What is the value of (-280)/(-7)*(-29)/116?
-10
Evaluate (12/(-14))/((-134)/(-737)*(-33)/(-42)).
-6
What is the value of ((-18)/42*(-16)/(-6))/((-2)/7)?
4
What is the value of (((-200)/1)/5)/((-44)/22)?
20
18/52*11/(264/16)*-1
-3/13
What is 16/80*(-1)/1*0?
0
What is the value of 12/(6994/(-807)*-1*3)?
6/13
What is the value of ((-52)/65)/(((-6)/(-7))/((-40)/168))?
2/9
((-900)/(-81))/20*6*(-3)/(-1)
10
((-35)/42*1)/(2/12)
-5
What is (8/3)/(33/22)*(-9)/(-60)?
4/15
Evaluate (-48)/(-27)*9/(-42)*7.
-8/3
Calculate (-3)/((-1758)/(-1465)*(-5)/(-2)).
-1
Calculate (-2415)/(-30)*18/207.
7
Evaluate (-1)/2*-9*14/(-189).
-1/3
Evaluate 28/(20/(-6)*27/45).
-14
Calculate (13/(-182))/(2/24).
-6/7
What is ((-24)/(-9))/((-710)/3195)?
-12
(5104/232)/(2*3)
11/3
What is the value of (-8)/66*(4272/32)/89?
-2/11
Calculate (7/(-14))/((91/(-112))/(2/(-24))).
-2/39
((-3)/4)/(1519/30380)
-15
(3/6)/((-39)/78)
-1
(15*(-1)/(-16))/(207/(-276))
-5/4
Calculate 12*(-8)/60*((-27)/6)/(-9).
-4/5
Calculate 10*(-45)/1080*3/(-40)*-4.
-1/8
(-20)/(-750)*5*((-9)/6)/1
-1/5
Calculate (-1)/((-5)/8)*(-131)/(44933/490).
-16/7
What is the value of ((-1)/21)/(21/(-98)*2)?
1/9
((-12)/144)/(((-6)/90)/(3/3))
5/4
Evaluate ((40/104*13)/1)/(1/2).
10
Calculate (-38)/(-95)*340/32.
17/4
What is ((-2)/(-84))/(((-1932)/(-294))/(-23))?
-1/12
Evaluate (48/28)/(330/(-140)*2/3).
-12/11
Calculate (50/(-8)*14/35)/(73/(-438)).
15
(4/(-30))/(1260/17325*(-77)/(-2))
-1/21
Calculate ((-5)/50*-4)/(((-170)/200)/(-17)).
8
What is 3927/(-154)*12/(-90)?
17/5
What is the value of (2/9)/(639/(-80514))?
-28
What is the value of (2/((-40)/190))/((-17)/34)?
19
Evaluate (-3)/9*(20/(-30))/(6/117).
13/3
What is the value of ((-240)/(-75))/(24/(-60))?
-8
Calculate (-42)/(-63)*(-48)/28.
-8/7
(72/8)/((6/(-9))/(18/27))
-9
Calculate (34/17)/(12/(-54)).
-9
What is the value of ((-57)/(-171))/(3/27)?
3
What is (1*16/(-24))/((84/(-414))/(-7))?
-23
(12/(-33))/((-18)/(-1))*-3
2/33
What is the value of 36/8*36/(-243)?
-2/3
((-4)/8*-1)/(20/(-20))
-1/2
3/((15/8)/((-13)/(-520)*2))
2/25
What is the value of ((-40)/48)/(30/162)?
-9/2
Evaluate ((-140)/63*15/(-2))/(2/(-3)).
-25
What is the value of ((-21)/5)/((-14)/((-1680)/(-36)))?
14
Evaluate (5*2)/((3300/48)/(-55)).
-8
(-60)/72*5/(-25)*-3
-1/2
What is (-24)/10*5635/(-2898)?
14/3
What is the value of (-25)/(-2)*-11*4/110?
-5
((-2418)/(-281325)*55)/(4/22)
13/5
What is 321/(-428)*276/9?
-23
(-1*27/(-12))/((-183)/976)
-12
What is the value of (((-191)/1146)/(2/18))/((-3)/10)?
5
What is the value of (6/(-24)*4)/(((-100)/15)/20)?
3
Calculate (-2)/(16/(-2))*1/(4/(-60)).
-15/4
Evaluate (7/(-14))/(3/((-2262)/(-13))).
-29
What is the value of ((-124)/310)/(3/90*-28)?
3/7
What is (12042/(-22077))/(6/(-154))?
14
Evaluate (-1)/(4/16)*(-41)/13530*15.
2/11
Calculate ((-10)/10)/(66*(-3)/(-108)).
-6/11
Evaluate 6*(-20)/(-320)*-40.
-15
What is the value of (96/640*-2)/(6/170)?
-17/2
Calculate ((-10)/((-48)/(-160)*4))/((-2)/(-6)).
-25
Calculate (5*4/20)/((-2)/(-4)*-18).
-1/9
What is -5*22*17/23375?
-2/25
Evaluate 65/104*2904/(-330).
-11/2
Calculate 620/496*(-8)/(-105)*3.
2/7
What is -3*24/(-36)*7/2?
7
Evaluate (80/220)/(2/11).
2
What is the value of ((66/(-77))/((-102)/28))/1?
4/17
What is 325/585*(-4)/10?
-2/9
Calculate ((-20)/(-135))/(28/84).
4/9
Calculate ((-72)/(-576))/((-6)/(-224)*4).
7/6
What is the value of 141/(-94)*(-7)/3*36/(-42)?
-3
(3/(-22)*-33)/30
3/20
Evaluate (16/88)/(((-490)/(-77))/7).
1/5
Evaluate (1412/(-2824))/(23/(-2)).
1/23
What is 1*100/25*(-1)/4?
-1
What is the value of ((-8)/72)/((-2)/198)?
11
What is (29/(-87))/((-4)/18)*(-3)/(-72)?
1/16
What is the value of (-6)/130*(-6708)/(-516)?
-3/5
What is ((-11)/(-1936)*22)/(1*1/(-3))?
-3/8
Evaluate ((-352)/616)/(45/(-140)).
16/9
Evaluate (448/384*(-6)/(-28))/((-2)/(-2)).
1/4
((-6)/(-6)*(-2)/8)/(42/(-56))
1/3
Evaluate (((-3)/((-18)/(-10)))/(-5))/((-77)/33).
-1/7
Calculate (6*(-4)/828)/((-2)/3).
1/23
Evaluate ((24/26)/(-3))/(((-238)/17)/(-14)).
-4/13
Calculate ((-3)/6)/(4/((-120)/(-50))).
-3/10
Calculate (-20)/(-84)*(-43)/(860/48).
-4/7
Calculate (-35)/(-10)*(-6)/(51/(-17)).
7
What is (-4)/7*(-6048)/(-576)?
-6
Calculate (-1)/(-9)*6*(-39)/650*-5.
1/5
Evaluate (-3*4/176*-2)/((-2)/(-16)).
12/11
8/(-374)*(-231)/126
2/51
Calculate 210/6440*(-28)/(-21).
1/23
((-200)/(-60))/((-20)/24)
-4
(-267)/1335*0/2
0
Evaluate (((-140)/(-5))/(-4))/((-17)/(-17)).
-7
Evaluate (-6)/20*4928/(-924).
8/5
Calculate (-28)/(-4)*1*1*(-106)/106.
-7
What is 8*((-120)/(-5))/48?
4
What is (4*-1)/((-20)/5*(-219)/(-6))?
2/73
Calculate ((-7)/(14/19))/
|
{
"pile_set_name": "DM Mathematics"
}
|
)) + -2 - sqrt(175))**2.
-179 + 25*sqrt(7)
Simplify (-3*-3*(sqrt(2057) + 2))**2.
3564*sqrt(17) + 166941
Simplify 4 + (sqrt(175) - (4 + sqrt(175) + (-1 + sqrt(175))**2 - sqrt(175))).
-176 + 15*sqrt(7)
Simplify -5*(sqrt(4)/sqrt(2) + 3).
-15 - 5*sqrt(2)
Simplify (sqrt(8)*3 + sqrt(2) - sqrt(8)/sqrt(4)*-4)*-5.
-55*sqrt(2)
Simplify ((sqrt(2448) + 1)**2 - sqrt(2448)) + sqrt(187)/sqrt(539).
85*sqrt(17)/7 + 2449
Simplify (sqrt(304)*-4 + sqrt(304) + -4)*-5.
20 + 60*sqrt(19)
Simplify sqrt(52)/sqrt(4) + -5 - (sqrt(325) + -2)**2.
-334 + 21*sqrt(13)
Simplify -3*sqrt(16)/(sqrt(128)*-1)*1.
3*sqrt(2)/4
Simplify (sqrt(7488)*-2)/sqrt(4).
-24*sqrt(13)
Simplify (sqrt(48) + -2*sqrt(48))*3.
-12*sqrt(3)
Simplify (sqrt(17) + sqrt(17)*-1 + 4 - sqrt(34)/(sqrt(2)*-2))**2*1.
4*sqrt(17) + 81/4
Simplify ((sqrt(2736) + -1 - sqrt(2736))*-3 + -2 + 1 + sqrt(2736))**2.
48*sqrt(19) + 2740
Simplify (((sqrt(198) + 1*sqrt(198))/sqrt(6))/(-3*sqrt(176)))**2.
1/12
Simplify (-5*(sqrt(500) - (sqrt(500) + -2)) - sqrt(500))**2.
200*sqrt(5) + 600
Simplify (1 + 4*-1*sqrt(200))**2.
-80*sqrt(2) + 3201
Simplify 6*(sqrt(17) - (sqrt(85) - ((2*sqrt(85) - sqrt(85)) + sqrt(85)))/sqrt(5))**2.
408
Simplify (6*(sqrt(75) + 2)*3)**2.
6480*sqrt(3) + 25596
Simplify ((3*(sqrt(88) + (sqrt(88) - sqrt(88)*1 - sqrt(88)) - sqrt(88)))/(-1*sqrt(648)))**2 + -3.
-16/9
Simplify (sqrt(2600) + (sqrt(2600) - (-1*sqrt(2600) + sqrt(2600) + sqrt(2600))))/sqrt(128).
5*sqrt(13)/4
Simplify ((sqrt(252) + -1)*-5)**2 + (4 + (sqrt(224)/sqrt(4))/sqrt(8))**2.
-292*sqrt(7) + 6348
Simplify ((sqrt(119) - (sqrt(119) - (sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119)*-2)))*-4)/((-1*sqrt(14))/sqrt(2) - sqrt(7)).
2*sqrt(17)
Simplify -5*(sqrt(13) - (sqrt(13) - (2 + -2*sqrt(13)))).
-10 + 10*sqrt(13)
Simplify 4 + (-3*(-3 + (2*sqrt(63))/sqrt(9)))**2.
-108*sqrt(7) + 337
Simplify (sqrt(19) + (sqrt(95)*-1 - sqrt(95))/sqrt(5))**2 + sqrt(76)/sqrt(4)*2.
2*sqrt(19) + 19
Simplify ((1*sqrt(270) - sqrt(270) - sqrt(270))/sqrt(10) - sqrt(27))/sqrt(9).
-2*sqrt(3)
Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) - (1*sqrt(153)*2 - sqrt(153)))) + sqrt(153) - sqrt(153))/(sqrt(144) - -1*sqrt(144)))**2.
17/16
Simplify 0 + sqrt(700) + 0 + -3.
-3 + 10*sqrt(7)
Simplify (sqrt(143) + sqrt(143)*-2*-2)/sqrt(11).
5*sqrt(13)
Simplify 2 + -3*(sqrt(72) + 0)**2.
-214
Simplify ((sqrt(75) + 1 - sqrt(75)) + -1)**2.
0
Simplify -3*(1 + sqrt(272)).
-12*sqrt(17) - 3
Simplify -3 + (sqrt(1872) + -1*sqrt(1872) - sqrt(1872) - sqrt(1872))**2.
7485
Simplify -6*((5*-2*sqrt(1100) - sqrt(1100)) + -4)**2.
-798696 - 5280*sqrt(11)
Simplify (0 + -6*(-1 + sqrt(288) + sqrt(288)) + 3)**2.
-2592*sqrt(2) + 41553
Simplify (-1*sqrt(220))/sqrt(11)*2.
-4*sqrt(5)
Simplify 4*(sqrt(110)/sqrt(2))/sqrt(5).
4*sqrt(11)
Simplify sqrt(25)/(1*sqrt(500)).
sqrt(5)/10
Simplify ((0 + sqrt(432) + sqrt(432))**2 - sqrt(432)) + -1.
-12*sqrt(3) + 1727
Simplify 4 + (1 + sqrt(637)*-2)**2 + 4.
-28*sqrt(13) + 2557
Simplify 1*sqrt(7) + -4 + (sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*-1)))/sqrt(11).
-4 - sqrt(7)
Simplify sqrt(275)*2*6.
60*sqrt(11)
Simplify sqrt(405) + 3 + (0 + sqrt(405))**2 + sqrt(405) - (4 + sqrt(80)/sqrt(4))**2.
2*sqrt(5) + 372
Simplify 3*(0 + sqrt(1008)) - (5 + -2*sqrt(1008)).
-5 + 60*sqrt(7)
Simplify ((sqrt(80)*2 - sqrt(80))/sqrt(10))/(sqrt(100)*1).
sqrt(2)/5
Simplify (4*-3*(0 + sqrt(7) + sqrt(7)))**2.
4032
Simplify (-1 + -4 + sqrt(1250) + 1)**2.
-200*sqrt(2) + 1266
Simplify 3 + sqrt(1700) + (-2*sqrt(2448))**2.
10*sqrt(17) + 9795
Simplify (-4*sqrt(175) + 1)**2 + -3.
-40*sqrt(7) + 2798
Simplify ((sqrt(7) + 2 + sqrt(7) - sqrt(7))*3*3)**2.
324*sqrt(7) + 891
Simplify (6*(sqrt(80) + 0 + -4))**2.
-1152*sqrt(5) + 3456
Simplify sqrt(27) + -1 + (sqrt(75) + 1*sqrt(75))**2.
3*sqrt(3) + 299
Simplify (sqrt(2) - (sqrt(30)/sqrt(3))/sqrt(5)) + (sqrt(60)/sqrt(5))/sqrt(6).
sqrt(2)
Simplify (5*(-2 + sqrt(19)) + sqrt(19) + -2)**2.
-144*sqrt(19) + 828
Simplify sqrt(7) + sqrt(1008)*-1 + 5.
-11*sqrt(7) + 5
Simplify 1*((sqrt(1331) - (sqrt(1331) - (sqrt(1331) + sqrt(1331)*-1*-3)) - sqrt(1331))**2 + (((0 + sqrt(1331) - sqrt(1331))*4 + sqrt(1331))**2 - sqrt(1331))).
-11*sqrt(11) + 13310
Simplify ((2*sqrt(1500))/((1*sqrt(25))/sqrt(5)))**2.
1200
Simplify (((sqrt(209) - 1*sqrt(209)*1 - sqrt(209)) + sqrt(209) - sqrt(209)) + sqrt(209))/(sqrt(891) + 1*sqrt(891) - sqrt(891)).
0
Simplify (sqrt(117)/sqrt(9)*-4)**2 - -1*sqrt(325).
5*sqrt(13) + 208
Simplify sqrt(3) + sqrt(243)*-3 + 4.
-26*sqrt(3) + 4
Simplify 1 + ((sqrt(304) - (2 + (sqrt(304) - (sqrt(304)*-2 + sqrt(304))) + sqrt(304)))*-4)**2.
512*sqrt(19) + 19521
Simplify (-1*sqrt(5)*1*1)**2.
5
Simplify (0 + 1 + -2*sqrt(1100))*4.
-80*sqrt(11) + 4
Simplify sqrt(14)/(5*-2*sqrt(7)).
-sqrt(2)/10
Simplify (sqrt(176)*-3*2)**2.
6336
Simplify (-6*sqrt(110)*2 - sqrt(110))/(sqrt(10) + (-4*3*sqrt(10) + sqrt(10) - sqrt(10))).
13*sqrt(11)/11
Simplify (sqrt(1008) + 5 + (sqrt(1008) + 1 + sqrt(1008))**2)*-1.
-4038 - 60*sqrt(7)
Simplify 0 + sqrt(42)/((4*sqrt(48))/sqrt(8)).
sqrt(7)/4
Simplify (sqrt(126)/(1*sqrt(9)))/sqrt(7).
sqrt(2)
Simplify -1*-4*sqrt(275)*-3.
-60*sqrt(11)
Simplify (-1*sqrt(468) + 3)**2*1.
-36*sqrt(13) + 477
Simplify 4*(sqrt(126)*3)/sqrt(7).
36*sqrt(2)
Simplify 1*(sqrt(1008) + 4*sqrt(1008) + 2)**2.
240*sqrt(7) + 25204
Simplify sqrt(63)/(sqrt(9)*-2) + -1 + 1.
-sqrt(7)/2
Simplify sqrt(10)/(sqrt(5) + (sqrt(5) + sqrt(5) + sqrt(125))*-5)*2.
-sqrt(2)/17
Simplify (-6*(-1 + sqrt(288) + -2 + sqrt(288) + 5))**2.
3456*sqrt(2) + 41616
Simplify ((sqrt(11) + 1)*-3 - (1 + sqrt(44))) + -1 + sqrt(176) + (-5 + -1*sqrt(11))**2.
9*sqrt(11) + 31
Simplify (sqrt(91)/(sqrt(7) + (sqrt(847) - sqrt(847)*-2) + sqrt(847)))**2.
13/2025
Simplify 6*-1*sqrt(3)*2.
-12*sqrt(3)
Simplify ((-5*sqrt(110)*-2 - sqrt(110)) + sqrt(110) + sqrt(110))/(sqrt(250)*1).
11*sqrt(11)/5
Simplify (sqrt(128) + (sqrt(128) - (-1 + sqrt(128) - sqrt(128)) - sqrt(128))**2 - sqrt(2)) + sqrt(72).
1 + 13*sqrt(2)
Simplify (4 + (sqrt(8)/sqrt(4)*5 - sqrt(2)))*-2.
-8*sqrt(2) - 8
Simplify -1*1*sqrt(1100) + sqrt(1100)*-2 + 2 + -5.
-30*sqrt(11) - 3
Simplify -5*(4 + sqrt(3))**2 + (sqrt(60)/sqrt(5))/sqrt(4).
-95 - 39*sqrt(3)
Simplify (sqrt(520)/(sqrt(10) - sqrt(60)/(sqrt(6)*2)))**2 + -5.
203
Simplify 0 + (sqrt(2448) + 0)*5.
60*sqrt(17)
Simplify sqrt(117)/(sqrt(27)/sqrt(3)) - ((sqrt(13) + -3 - sqrt(13))**2*5 + sqrt(13)).
-45
Simplify (-3 + 0 + sqrt(176))**2 + sqrt(176) + 3 + 1*sqrt(176).
-16*sqrt(11) + 188
Simplify (sqrt(80)*2 + -4)**2*-1.
-336 + 64*sqrt(5)
Simplify ((sqrt(272) - 1*sqrt(272)) + 4)**2.
16
Simplify -3*sqrt(132)/(sqrt(12) - sqrt(12)*-1).
-3*sqrt(11)/2
Simplify sqrt(168)/sqrt(6) + -4.
-4 + 2*sqrt(7)
Simplify ((4 + sqrt(16)/sqrt(8) + sqrt(2))*-2)**2*-1.
-96 - 64*sqrt(2)
Simplify (sqrt(1700) + 1 + (sqrt(1700) - (sqrt(1700) + 1)))**2 + sqrt(1700) + -1 + sqrt(1700) + -1.
20*sqrt(17) + 1698
Simplify sqrt(612) + 2*sqrt(612) - sqrt(612) - -2*(sqrt(153))**2.
12*sqrt(17) + 306
Simplify (3*(3 + sqrt(76)))**2*2.
216*sqrt(19) + 1530
Simplify (sqrt(5) - (sqrt(320) + 0))**2 - sqrt(10)/sqrt(50).
-sqrt(5)/5 + 245
Simplify ((-2*(sqrt(5) + sqrt(20)/sqrt(4)))**2 - (sqrt(5) + sqrt(5) + -1)*-3) + 3.
6*sqrt(5) + 80
Simplify (sqrt(567)*-2)**2 + 4 + sqrt(21)/(sqrt(3)*2*6 + sqrt(3)).
sqrt(7)/13 + 2272
Simplify 6*(sqrt(76) + -2)**2.
-48*sqrt(19) + 480
Simplify 1*(sqrt(38)/sqrt(2) + 4).
4 + sqrt(19)
Simplify (sqrt(204)/(sqrt(12)*2 - sqrt(12)))**2 + 5.
22
Simplify (-1 + (sqrt(19) - (2*sqrt(228))/sqrt(12))*-4)*-4.
-16*sqrt(19) + 4
Simplify (-4 + ((sqrt(44)/sqrt(4) + sqrt(11))*3 + -3 + sqrt(176))*-2)**2.
-80*sqrt(11) + 4404
Simplify sqrt(150)/sqrt(3)*2.
10*sqrt(2)
Simplify 1 + -5*(sqrt(2448) + 0) + 2.
-60*sqrt(17) + 3
Simplify -1*(sqrt(3) - (-5 + sqrt(243) + sqrt(243))).
-5 + 17*sqrt(3)
Simplify (((sqrt(84) - -2*sqrt(84))*4)/((2*sqrt(96))/sqrt(8)))**2 + 5.
257
Simplify (-3 + 0 + 4*(sqrt(288) - (sqrt(288) + 0)))**2.
9
Simplify (sqrt(17) - (-1 + sqrt(17))*-2) + (-1*sqrt(68) - sqrt(68))/sqrt(4) + sqrt(17).
-2 + 2*sqrt(17)
Simplify 3 + (-1*sqrt(605)*-5)**2 + 5.
15133
Simplify 6*((sqrt(242) + (sqrt(242) - 2*sqrt(242))**2 - sqrt(2)) + -1 + sqrt(2) + 3).
66*sqrt(2) + 1464
Simplify (4*(sqrt(425) + 3 - sqrt(17)))**2*5.
1920*sqrt(17) + 22480
Simplify sqrt(11)*3 + 0 + 4 + -5.
-1 + 3*sqrt(11)
Simplify (5*sqrt(150)/sqrt(6))/((sqrt(180)/sqrt(3))/sqrt(12)).
5*sqrt(5)
Simplify 4*sqrt(2448) -
|
{
"pile_set_name": "DM Mathematics"
}
|
n 53187 is divided by 1516.
127
What is the remainder when 42137741 is divided by 186?
185
What is the remainder when 9137894 is divided by 340?
54
Calculate the remainder when 1637543 is divided by 1757.
19
Calculate the remainder when 262167 is divided by 214.
17
What is the remainder when 1200201 is divided by 399656?
1233
What is the remainder when 32066 is divided by 386?
28
What is the remainder when 188416739 is divided by 4444?
27
What is the remainder when 165165 is divided by 41000?
1165
What is the remainder when 120389603 is divided by 13376621?
14
What is the remainder when 18127435 is divided by 51?
46
Calculate the remainder when 6513409 is divided by 68.
29
Calculate the remainder when 14406964 is divided by 256.
52
Calculate the remainder when 541045 is divided by 25.
20
What is the remainder when 24165757 is divided by 6049?
2
Calculate the remainder when 1468984 is divided by 489254.
1222
Calculate the remainder when 222529 is divided by 73233.
2830
Calculate the remainder when 76426 is divided by 19092.
58
What is the remainder when 217602 is divided by 4236?
1566
What is the remainder when 2102735 is divided by 568?
567
Calculate the remainder when 15959 is divided by 9530.
6429
What is the remainder when 161299938 is divided by 161299928?
10
Calculate the remainder when 980714 is divided by 25136.
410
What is the remainder when 2845334 is divided by 872?
870
What is the remainder when 884782129 is divided by 2132?
2129
What is the remainder when 7477 is divided by 3568?
341
What is the remainder when 11251321 is divided by 5625646?
29
Calculate the remainder when 10413319 is divided by 131.
129
What is the remainder when 248282 is divided by 109?
89
Calculate the remainder when 466088075 is divided by 7553.
7551
Calculate the remainder when 19483483 is divided by 19483477.
6
Calculate the remainder when 7610295 is divided by 31.
12
Calculate the remainder when 23622658 is divided by 45.
43
What is the remainder when 31096 is divided by 2390?
26
What is the remainder when 138807 is divided by 374?
53
Calculate the remainder when 330514 is divided by 100.
14
Calculate the remainder when 9398248 is divided by 1044249.
7
What is the remainder when 1529639 is divided by 518?
503
What is the remainder when 1189084 is divided by 1265?
1249
Calculate the remainder when 5486 is divided by 5052.
434
Calculate the remainder when 145441 is divided by 1479.
499
What is the remainder when 10269383 is divided by 1137?
1136
What is the remainder when 1664429 is divided by 183?
44
Calculate the remainder when 3479668 is divided by 133833.
10
What is the remainder when 238277 is divided by 78?
65
Calculate the remainder when 283290 is divided by 297.
249
What is the remainder when 36410 is divided by 777?
668
Calculate the remainder when 717052 is divided by 119496.
76
Calculate the remainder when 83326819 is divided by 813.
10
What is the remainder when 887225 is divided by 443591?
43
What is the remainder when 335471 is divided by 6467?
5654
Calculate the remainder when 361782 is divided by 454.
398
What is the remainder when 800012 is divided by 58?
18
What is the remainder when 241702 is divided by 5386?
4718
What is the remainder when 1085781 is divided by 61?
42
Calculate the remainder when 30977328 is divided by 4.
0
What is the remainder when 842284986 is divided by 43?
40
What is the remainder when 4411418 is divided by 18?
14
What is the remainder when 39706026 is divided by 11593?
1
What is the remainder when 1079198 is divided by 2466?
1556
What is the remainder when 237605 is divided by 4003?
1428
What is the remainder when 391529 is divided by 78304?
9
Calculate the remainder when 3999545 is divided by 66659.
5
Calculate the remainder when 1341135 is divided by 973.
341
What is the remainder when 131499778 is divided by 1263?
7
What is the remainder when 3238 is divided by 2244?
994
What is the remainder when 26148 is divided by 2571?
438
What is the remainder when 1357107 is divided by 982?
965
Calculate the remainder when 195742 is divided by 13633.
4880
Calculate the remainder when 2247238 is divided by 61.
59
What is the remainder when 547649 is divided by 273824?
1
What is the remainder when 29496 is divided by 16633?
12863
Calculate the remainder when 12275552 is divided by 17073.
65
What is the remainder when 31483089 is divided by 27?
9
Calculate the remainder when 68194 is divided by 9737.
35
What is the remainder when 517627 is divided by 517603?
24
Calculate the remainder when 3648871 is divided by 165857.
17
What is the remainder when 12362 is divided by 785?
587
Calculate the remainder when 2533464 is divided by 6239.
430
What is the remainder when 96452609 is divided by 415744?
1
Calculate the remainder when 205551 is divided by 33914.
2067
What is the remainder when 58501 is divided by 6428?
649
What is the remainder when 1736475 is divided by 72352?
27
What is the remainder when 342355 is divided by 339?
304
Calculate the remainder when 1436510 is divided by 359106.
86
Calculate the remainder when 49934655 is divided by 8.
7
Calculate the remainder when 664731 is divided by 221572.
15
Calculate the remainder when 44817974 is divided by 3383.
3373
What is the remainder when 251513 is divided by 20693?
3197
Calculate the remainder when 1732422 is divided by 35355.
27
Calculate the remainder when 6910006 is divided by 691000.
6
What is the remainder when 111095 is divided by 780?
335
What is the remainder when 56240567 is divided by 943?
47
Calculate the remainder when 6177 is divided by 1668.
1173
What is the remainder when 438180 is divided by 218671?
838
Calculate the remainder when 458444 is divided by 195.
194
What is the remainder when 1447068841 is divided by 1779?
1777
Calculate the remainder when 25660214 is divided by 334.
330
What is the remainder when 10943981 is divided by 150?
131
Calculate the remainder when 6929 is divided by 712.
521
What is the remainder when 43278 is divided by 2878?
108
Calculate the remainder when 1895883 is divided by 394.
349
What is the remainder when 5074557 is divided by 325?
7
Calculate the remainder when 8183940 is divided by 2671.
2667
Calculate the remainder when 1585837185 is divided by 1108.
1105
Calculate the remainder when 735691 is divided by 933.
487
What is the remainder when 14937028 is divided by 14?
8
Calculate the remainder when 5659157 is divided by 5659141.
16
What is the remainder when 543539 is divided by 1210?
249
What is the remainder when 28200631 is divided by 4700099?
37
What is the remainder when 1070934 is divided by 2910?
54
Calculate the remainder when 19483024 is divided by 405894.
112
Calculate the remainder when 152141 is divided by 103.
10
What is the remainder when 11363398 is divided by 1429?
1419
What is the remainder when 2209 is divided by 549?
13
What is the remainder when 384295 is divided by 2805?
10
What is the remainder when 1204746 is divided by 3460?
666
What is the remainder when 231103 is divided by 2199?
208
Calculate the remainder when 46244 is divided by 2543.
470
Calculate the remainder when 2062657 is divided by 245.
2
What is the remainder when 129027 is divided by 24577?
6142
What is the remainder when 37729425 is divided by 1886471?
5
Calculate the remainder when 1238185 is divided by 88439.
39
What is the remainder when 733000 is divided by 344?
280
What is the remainder when 214331 is divided by 1246?
19
Calculate the remainder when 229887 is divided by 19147.
123
What is the remainder when 5506283 is divided by 6125?
6033
Calculate the remainder when 167744488 is divided by 30.
28
What is the remainder when 390668 is divided by 55711?
691
Calculate the remainder when 46932 is divided by 44286.
2646
Calculate the remainder when 577467 is divided by 1617.
198
What is the remainder when 140567 is divided by 61?
23
Calculate the remainder when 69409 is divided by 23007.
388
Calculate the remainder when 1587807 is divided by 7.
4
What is the remainder when 775393 is divided by 230?
63
What is the remainder when 1027797 is divided by 177?
135
What is the remainder when 2494460 is divided by 4797?
20
Calculate the remainder when 68791 is divided by 13732.
131
What is the remainder when 798935 is divided by 1314?
23
W
|
{
"pile_set_name": "DM Mathematics"
}
|
is next in 2512, 5277, 8034, 10777, 13500, 16197, 18862?
21489
What comes next: -1227, -874, -293, 510, 1529, 2758, 4191?
5822
What is the next term in 134822, 1078714, 3640708, 8629856, 16855210?
29125822
What is next in 77968, 77853, 77738, 77623, 77508, 77393?
77278
What is next in -167, -1800, -4975, -9764, -16239, -24472?
-34535
What comes next: -213860, -855545, -1925010, -3422249, -5347256, -7700025, -10480550?
-13688825
What is next in 190, 2523, 8838, 21127, 41382, 71595?
113758
What is next in -591, -2017, -3325, -4515?
-5587
What is next in 351, 1607, 3719, 6687?
10511
What is the next term in 177607, 354065, 529383, 703567, 876623, 1048557?
1219375
What is next in 14438919, 57755665, 129950241, 231022647, 360972883?
519800949
What is next in 329115, 1316432, 2961955, 5265684?
8227619
What comes next: 48, 160, 70, -336, -1172, -2552?
-4590
What comes next: -36307, -72578, -108871, -145192, -181547, -217942, -254383?
-290876
What is next in 1050, 11358, 40188, 96798, 190446, 330390?
525888
What is next in 53920, 107826, 161686, 215500, 269268, 322990, 376666?
430296
What is next in -31249, -125067, -281431, -500341, -781797?
-1125799
What comes next: -2140482, -2140519, -2140556, -2140593?
-2140630
What is next in -3523, -7485, -12397, -18733, -26967, -37573?
-51025
What is the next term in 750126, 750117, 750120, 750141, 750186, 750261, 750372, 750525?
750726
What is the next term in -181949, -181918, -181859, -181766, -181633, -181454, -181223?
-180934
What comes next: 360453, 721039, 1081625, 1442211, 1802797, 2163383?
2523969
What is next in 10609, 42557, 95951, 170887, 267461?
385769
What is next in 18695840, 18695847, 18695854?
18695861
What is next in -2093667, -2093660, -2093649, -2093634, -2093615, -2093592?
-2093565
What comes next: 25574, 31588, 41610, 55640?
73678
What is the next term in 188820, 189383, 189950, 190521?
191096
What is next in -10376263, -10376207, -10376151, -10376095?
-10376039
What is the next term in 779716, 3118865, 7017446, 12475459, 19492904?
28069781
What is the next term in -26889, -53803, -80715, -107625?
-134533
What comes next: -1032, -3264, -6740, -11460, -17424, -24632, -33084?
-42780
What comes next: 8678651, 8678663, 8678691, 8678741, 8678819?
8678931
What is next in -74083211, -74083212, -74083227, -74083262, -74083323?
-74083416
What comes next: 622, 4658, 15584, 36832, 71834, 124022, 196828?
293684
What comes next: -456, -2316, -5428, -9792, -15408, -22276?
-30396
What is the next term in 5644, 8093, 10536, 12973, 15404, 17829?
20248
What is the next term in -53798, -52291, -49780, -46265, -41746, -36223, -29696?
-22165
What is next in -14826872, -14826874, -14826876?
-14826878
What is the next term in -6963874, -13927752, -20891636, -27855526, -34819422, -41783324, -48747232?
-55711146
What is next in 5176663, 5176927, 5177367, 5177983, 5178775?
5179743
What comes next: 31201, 124762, 280683, 498964?
779605
What is the next term in -525, -1208, -2075, -3126, -4361, -5780?
-7383
What is the next term in -2109, -20259, -69523, -165459, -323625?
-559579
What is next in 29694083, 59388165, 89082247, 118776329, 148470411, 178164493?
207858575
What is the next term in -11574, -41908, -92470, -163266, -254302?
-365584
What is the next term in -66920, -267772, -602526, -1071182, -1673740, -2410200, -3280562?
-4284826
What is the next term in -1439, 3560, 11893, 23566, 38585, 56956, 78685?
103778
What comes next: 31482, 63400, 95330, 127278, 159250, 191252?
223290
What is next in 13865, 25907, 34277, 37139, 32657, 18995?
-5683
What is next in -2741, -13505, -31445, -56561, -88853?
-128321
What is next in -70389, -70276, -70121, -69924, -69685, -69404?
-69081
What is the next term in -200037, -400119, -600199, -800277, -1000353, -1200427?
-1400499
What is the next term in -992734, -1985512, -2978290, -3971068, -4963846, -5956624?
-6949402
What is next in -21549, -43811, -66073, -88335, -110597?
-132859
What comes next: 2172346705, 2172346706, 2172346707, 2172346708, 2172346709, 2172346710?
2172346711
What comes next: 5306284, 5306286, 5306290, 5306296, 5306304, 5306314?
5306326
What comes next: 4401922, 8803837, 13205750, 17607661, 22009570?
26411477
What comes next: 571215, 571298, 571377, 571452?
571523
What is the next term in -9098, -9191, -9282, -9371, -9458, -9543, -9626?
-9707
What is next in -9364, -18837, -28310, -37783, -47256?
-56729
What is the next term in 266534, 533155, 799830, 1066559, 1333342?
1600179
What is the next term in -202397, -404793, -607191, -809591, -1011993?
-1214397
What is the next term in -35697, -35642, -35561, -35454?
-35321
What is next in 5309503, 10619007, 15928511, 21238015, 26547519?
31857023
What is next in 4585, 8989, 13235, 17323, 21253?
25025
What comes next: 11336, 45049, 101232, 179879, 280984, 404541?
550544
What comes next: -5190, -5020, -4860, -4716, -4594, -4500, -4440, -4420?
-4446
What is the next term in -1709, -6437, -14201, -25001, -38837?
-55709
What comes next: -19021, -18812, -18173, -16888, -14741, -11516, -6997, -968?
6787
What comes next: 170720, 170796, 170872?
170948
What is the next term in -5793, -24251, -55015, -98085?
-153461
What is next in 1409, 11351, 38345, 90917, 177593, 306899, 487361?
727505
What is the next term in -8728, -1092, 6542, 14174, 21804, 29432, 37058?
44682
What is next in -3323, -25772, -86589, -204956, -400055, -691068?
-1097177
What comes next: -134906, -269757, -404608, -539459?
-674310
What comes next: -506560, -506567, -506580, -506599, -506624, -506655, -506692?
-506735
What comes next: -281, -148, -15, 118?
251
What comes next: -6780, -12299, -17812, -23319, -28820, -34315?
-39804
What is next in -2015, -8618, -19789, -35528, -55835, -80710?
-110153
What comes next: 40516, 156824, 350662, 622024, 970904, 1397296, 1901194, 2482592?
3141484
What comes next: -118539, -474047, -1066559, -1896075?
-2962595
What comes next: -313789, -313320, -312533, -311422, -309981, -308204, -306085, -303618?
-300797
What is the next term in 346, 731, 1060, 1333, 1550, 1711?
1816
What is the next term in -474298, -474739, -475180, -475621?
-476062
What is next in 12275, 12453, 12629, 12803, 12975?
13145
What comes next: 834115, 3336364, 7506777, 13345348, 20852071, 30026940, 40869949, 53381092?
67560363
What comes next: -3993296, -3993334, -3993384, -3993452, -3993544?
-3993666
What comes next: -17114, -16605, -15738, -14489, -12834?
-10749
What is next in 107568, 107465, 107362?
107259
What is the next term in -457, -3586, -12065, -28570, -55777, -96362?
-153001
What is the next term in -133654, -133510, -133366, -133222, -133078?
-132934
What is next in -1541, -1725, -2187, -3053, -4449, -6501, -9335, -13077?
-17853
What is the next term in -178617, -714405, -1607369, -2857509, -4464825?
-6429317
What comes next: -1537, -4024, -6511?
-8998
What is the next term in 5118, 41319, 139866, 332025, 649062, 1122243?
1782834
What comes next: 22874, 22788, 22704, 22622, 22542, 22464, 22388?
22314
What comes next: 3029, 4843, 9783, 19409, 35281, 58959?
92003
What is next in -260841856, -260841857, -260841858, -260841859, -260841860, -260841861?
-260841862
What comes next: 25472, 25483, 25496, 25505, 25504, 25487?
25448
What is next in -1242421, -1242430, -1242443, -1242460, -1242481?
-1242506
What is next in 1011055471, 1011055472, 1011055473, 1011055474, 1011055475, 1011055476?
1011055477
What is next in 166376, 333469, 500562, 667655, 834748, 1001841?
1168934
What is the next term in 274, 65, -144, -353, -562, -771?
-980
What is next in 2481303, 2481280, 2481257?
2481234
What comes next: 29576459, 59152918, 88729377?
118305836
What is next in 17982774, 35965560, 53948346, 71931132, 89913918?
107896704
What is next in -424, -1491, -2560, -3631, -4704?
-5779
What is the next term in -24310, -24165, -24022, -23881, -23742, -23605?
-23470
What comes next: -11990687, -11990677, -11990663, -11990645, -11990623?
-11990597
What comes next: -1660, -3197, -4748, -6313, -7892, -9485?
-11092
What is the next term in -47831, -47381, -46945, -46529, -46139, -45781, -45461, -45185?
-44959
What comes next: -9066, -38006, -86242, -153774?
-240602
What is next in 29498432, 29498431, 29498428, 29498423?
29498416
What is the next term in 768, 25
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Let q = -20 - -21. Let t = -12 + 6. Let w = 6.1 + t. Is q less than w?
False
Let k(p) = -14*p + 2. Let w be k(-11). Let n be 82*-8*10/w. Let j = n - -42. Is j equal to 1?
False
Let z = 157 - 231. Let o be 0/(-1) + z/4. Let i = o + 18. Which is smaller: 0 or i?
i
Suppose -2*h - h + 12 = 0. Suppose -85 = -h*p - 21. Let u = p - 18. Which is smaller: -1 or u?
u
Suppose 5*j + 3*g = 15, -g = -j - 0*g - 5. Is j >= 0?
True
Let h = 17 - 33/2. Suppose 2*n + 1 + 14 = 5*g, -3*n = 2*g - 6. Suppose 5*s - 5 = -g*f, 7*f - 4*f = -3*s + 3. Does s = h?
False
Let c = 0.028 + -0.228. Is c <= -207?
False
Suppose 4*u = 71 + 9. Let c be 16*1 - (-11)/(99/54). Which is smaller: c or u?
u
Let f be 15/20 + (-1)/(-4). Suppose 448 = -5*p - 367. Let b = -484/3 - p. Which is smaller: b or f?
f
Let k(p) = -5*p**2 - 63*p - 38. Let b be k(-12). Is -9/5 > b?
True
Suppose -107*x = -106*x - 5*d - 37, -5*d + 20 = 0. Which is bigger: x or 54?
x
Let l = -9 + 2. Let m(h) = 5*h + 4. Let d be m(-2). Is l > d?
False
Let b = -42 + 66. Suppose 0 = 5*d - 3*d - b. Is d < 10?
False
Let g = 9.3 + 17.5. Let l = -24 + g. Let c = l + -0.8. Is c greater than or equal to 0.2?
True
Suppose 2*u - 3*k = -7*k - 16, 6 = -3*u + 3*k. Let f be 6*-1 + 224/40. Is f greater than or equal to u?
True
Let t(k) = -k**3 + 20*k**2 + 4. Let m be t(20). Suppose m*h = -5*y - 16, 0 = -2*h + 3*y - 14 - 16. Is h greater than or equal to 2/3?
False
Let d = 3.1 - 11.1. Let o = d + 7.81. Let y = o + -0.11. Is y < 0.1?
True
Let g be 3 - (2 + -1) - 7828/(-570). Let y = g + -92/5. Suppose 20 = -20*j + 15*j. Which is smaller: j or y?
j
Let q = -42 + 37. Let y = q + 68/15. Which is greater: y or -1?
y
Suppose 0*n + 3 = 4*s - n, -5*s + 4*n - 10 = 0. Do s and 11/14 have the same value?
False
Let b be ((-9)/(-9))/((-1)/(-2)*-1). Which is bigger: -9/2 or b?
b
Let n(m) = -m**3 - 10*m**2 - m - 5. Let o be n(-10). Suppose -o*p - 3*a + 34 = 0, a + 0*a - 18 = -3*p. Is p <= -0.2?
False
Let o be (-179 + -4)/((-24)/(-16)). Is o != -122?
False
Let s be 392/(-15) - 16/2400*-20. Suppose -2*y - 7 = 47. Does y = s?
False
Suppose 73 + 134 = -23*b. Let j = 11 + -6. Let f be ((-1)/j)/(24/(-30)). Which is smaller: f or b?
b
Suppose 0 = 6*k - k + 2*x - 2, 16 = -4*x. Suppose p = 1 - k. Which is smaller: -7/3 or p?
-7/3
Let r(w) = -w - 5. Let b be r(-3). Let u be b/2*(-1 - 0). Let x be (-28)/(-10) + (3 - 5). Which is smaller: u or x?
x
Suppose -6*t + 18 - 6 = 0. Suppose 0 = -3*i - 5 + t. Let k be (((-6)/5)/3)/(-8). Which is smaller: i or k?
i
Let r be (-245)/(-190) + 4 + (-25)/5. Is 1 at least as big as r?
True
Let s = -2 - -2. Let k = -19 - -43. Let x = -24.07 + k. Which is smaller: s or x?
x
Let u = 47 - 30. Suppose w - u = -20. Which is bigger: -1 or w?
-1
Suppose 0 = 5*i - 5*h + 25, -7*h - 11 = i - 2*h. Let n be ((-3)/(-9))/((-8)/i). Let a = -290 + 289. Which is greater: n or a?
n
Let j = 133/9 + -26. Which is smaller: -11 or j?
j
Let u be -4 + (6/(-9))/(2/(-9)). Let n be (-2)/9 - -94*u/(-72). Which is greater: 1 or n?
n
Let q = -40 - -53. Let k = -19 - -36. Suppose q*v = k*v. Which is smaller: v or -4?
-4
Let b(s) = -2*s + 9. Let n be b(7). Let u be (-2)/(n/((-195)/6)). Do u and -15 have the same value?
False
Let w be -10*7/((-31815)/(-18)). Which is smaller: w or 0?
w
Let o(u) = 3*u**2 + 3*u - 1. Let g be o(3). Suppose -5*t + g = 5*x, -2 = -t - 1. Suppose 14 = -2*f - s + 3, -3*f = -2*s + x. Are -3 and f equal?
False
Let v = -0.2 + 0.3. Let l = -0.1892 + 0.1692. Is l < v?
True
Let s = -337 - -336. Is s >= 0.0084?
False
Let w be 100/(-150)*21/2. Which is smaller: -16 or w?
-16
Let a be (-2)/(-13) - -4*(-3)/78. Let p be -3 + a - 66/(-27). Is p smaller than -2?
False
Let x be (-170)/(-14) - 6*(-2)/(-84). Let i be (-11)/(-33) - -1*(-1)/x. Is i equal to -2/33?
False
Let f = -3 - -3. Let b be (-1 - 0)/((-274)/(-20)). Let c = b - -1500/1781. Which is smaller: c or f?
f
Let j be 1 - 1 - (2 + -4). Suppose 0 = x + t - 2, -x - t - t = 2. Suppose 4*v - 3*k = x, 5*v - 2*v - 5 = 2*k. Which is smaller: j or v?
j
Suppose 2*q - 41*n - 2 = -43*n, -4*q = -3*n - 4. Is q <= 3/862?
False
Let b = 59.9 - 60. Let z = -552 + 19322/35. Is z greater than or equal to b?
True
Suppose 2 = 3*d + 26. Let w be (2/(d/(-12)))/(-1). Is -2 less than or equal to w?
False
Let f be 12/(-8) - (4788/(-8))/(-9). Is f less than -68?
False
Suppose 6*g - 184 - 2672 = 0. Is g greater than or equal to 474?
True
Let u be (((-24)/(-7))/(-3))/(2/(-7)). Let g = 3 - u. Which is smaller: -3/29 or g?
g
Let o = 54 + -54.082. Let x = 59.918 - o. Which is bigger: x or 0?
x
Let k = -4 + -6. Let x = -149 + 158. Let v = x + k. Which is smaller: v or 9/4?
v
Suppose 0 = -5*k - 2*g + 135, -g - g = 3*k - 85. Let t = k + -40. Which is bigger: t or -14?
-14
Let w = 1015690/283 + -3589. Let u = -5401/2264 + w. Let b = u - -225/88. Which is bigger: 1 or b?
1
Let l = 19423/39 + -498. Which is greater: 1 or l?
1
Let j = 1027.99 - 1042. Let p = -14 - j. Which is smaller: p or 0?
0
Let p(c) = -3*c - 6. Suppose 2*n + 9 = -4*k - 1, 0 = 4*n - 4. Let v be p(k). Let s = -3 + v. Is s at most 0?
True
Let j(r) = -r - 1. Let z be j(-2). Let u be (-2 - 2)*(-146)/(-7). Let a = 83 + u. Which is smaller: a or z?
a
Let n be (3/66)/(1/(-2)). Let w = 1624 - 1619. Is n smaller than w?
True
Let b = 44 + -40. Let m be (b - 7) + 68/22. Which is bigger: m or -0.3?
m
Suppose -7*w + 2*w = 5*t, 4*w + 3*t = 0. Suppose 4*j + j + 5*h - 20 = 0, h - 2 = w. Suppose 2*v + 18 = u, 2*u = -j*v + 4*v + 34. Which is smaller: 17 or u?
u
Let g(x) = -x**2 - 15*x + 15. Let a be g(-15). Let w = a + -15. Suppose w = b + b. Which is smaller: b or 3/4?
b
Let t(k) = k**2 - 8*k - 21. Let n = 6 + 3. Let p be t(n). Let g be 13/12 - (-9)/p. Which is greater: -1/4 or g?
g
Let j = -1.364 - -8.194. Let r = j - -0.17. Let i = 7.2 - r. Which is smaller: i or 0.1?
0.1
Suppose -2*f - 5*a + 245 = 0, -3*f - 13*a + 320 = -15*a. Let h be ((-2)/4 - f/(-160))*1. Let l = -2 - -2. Is l >= h?
False
Let j(r) = -5*r - 3. Let b be j(-7). Let x = b - 35. Which is smaller: -1 or x?
x
Let c be (352/(-308))/((-10)/217). Is 24 at most as big as c?
True
Let u(h) = -3 - 2 - h + 0 + 8 + h**3. Let t be u(0). Which is greater: t or 4?
4
Let o(y) = -y**3 + 7*y**2 + y - 4. Let j be o(7). Let x be (-3)/(-6) - (-19)/2. Suppose -3*i = -13 + x. Is j at least as big as i?
True
Let r = 0.4 + -1.4. Let d = r - -1. Let i = 0.7 + -0.6. Which is smaller: d or i?
d
Let q(h) = 5*h**2 + 55*h - 3. Let x be q(-11). Is x bigger than -43/10?
True
Let r = 12769410 + -120096301378/9405. Let o = r + -2/209. Let l(p) = -p**3 - 6*p**2 - 11*p - 6. Let w be l(-3). Is w bigger than o?
True
Let t(a) = 2*a + 11. Let i be t(-5). Let u be (45/(-10) - -4)*i. Which is bigger: -1 or u?
u
Let u(j) = j - 1. Let o be u(0). Suppose -2*h = 3 + 1. Let m = h - o. Which is smaller: 3 or m?
m
Let d = 1.1 + 0.7. Let h = d + 10.2. Let n = h + -12.08. Are 1/3 and n equal?
False
Let g(r) = -r**2 - 10*r + 12. Suppose 65 = -4*j + 21. Let a be g(j). Let w be (-5)/(-30)*a*-5. Which is smaller: 0 or w?
w
Let j(d) = d**2 - 11*d - 24. Let o be j(13). Suppose -o*w = -3*w + 1. Is 1/16 >= w?
False
Let j(w) = w**2 - 8*w + 9. Let z be j(7). Suppose 3*h = z*s - 8, -5*s = -2*h - 14 + 5. Let q = 38 + -109/3. Is q at least as big as s?
True
Let u be (-3 - -12) + (2 - -70). Which is smaller: 79 or u?
79
Suppose 3*u + 13 = 4*y - 160, 267 = -5*u - 4*y. Let q = -56 - u. Is q at least as big as -1/3?
False
Let d = -1 - 2. Let h be -2 + d + (-633)/(-12). Let f = -48 + h. Is f < 0.6?
True
Let n(w) = 7*w**2 - 10*w + 102. Let z be n(-8). Is 631 bigger than z?
True
Let t be 1/((-18)/66) + 2/(-6). Which is greater: t or -32?
t
Suppose -6 = 3*g - 0*g. Let w be 2/(-30) - 1920/3600. Which is greater: w or g?
w
Let l = -0.47 + 24.47. Let q = -25.2 + l. Which is bigger: q or 0.2?
0.2
Let o(x) = 14*x + 44. Let t be o(3). Are 83 and t non-equal?
True
Let v = 1414 + -1410. Which is bigger: v or 37/12?
v
Let j be (-5)/((-10)/(-8)) - (22 - 20). Which is greater: j or -1?
-1
Suppose -f - 11 = 2*d, -4*d + 2*f - 13 = -3. Suppose -4*r = -4 - 4. Suppose -r = -a + 2*a. Do a and d have the same value?
False
Suppose 0 = -3*p - 2*f + 61, -4*f - 47 = -2*p + f. Let m be 3/p + 4/(-28). Let y = -2 - m. Which is greater: y or -7/4?
-7/4
Let f be (-5 - -2)/(-2 - -1). Suppose -2*b +
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -1 (b) 38 (c) 3/25
b
Which is the second smallest value? (a) 2 (b) 2/3 (c) 11/4 (d) -1 (e) -4
d
Which is the third biggest value? (a) -28 (b) -2 (c) 0.3 (d) -162 (e) -0.5 (f) 1
e
Which is the second smallest value? (a) -3 (b) -16 (c) 5251
a
What is the third smallest value in -67, 2, 26.5, 0?
2
What is the third smallest value in 1, -865/2, 6/11, 5?
1
Which is the fourth biggest value? (a) 4 (b) -2 (c) -15 (d) -38
d
What is the smallest value in 2, -7/9, -0.07, 1, -0.1?
-7/9
Which is the fourth smallest value? (a) 586 (b) 8 (c) -1/3 (d) -4
a
Which is the third biggest value? (a) -2/3 (b) -0.02 (c) 0.816
a
What is the second biggest value in 1, 1671, -0.87?
1
Which is the fourth biggest value? (a) -9750 (b) 1/5 (c) -5 (d) 4/5
a
What is the fourth biggest value in -1, 1/5, -2.7, 20, -10?
-2.7
What is the biggest value in -0.3, 2/17, -6, 0.02, 0.4, -49?
0.4
What is the fourth biggest value in 5, 0, -8/5, 1568?
-8/5
What is the third biggest value in -1/4, 0.4, 0.26, -0.014, 2, -17?
0.26
What is the second biggest value in -0.2, -131490, 3?
-0.2
Which is the fifth biggest value? (a) -1.1 (b) -0.5 (c) 0 (d) -4 (e) -155 (f) -4/9
d
What is the second biggest value in -113, -0.5, -1, -1/3, 1/3?
-1/3
What is the third biggest value in -4, 2.286, -0.4, 1/9?
-0.4
What is the fourth smallest value in -0.6, 5, -2, -1, -0.3, 33/13?
-0.3
What is the fourth smallest value in -0.02, 2/47, 1/5, 0, 2/41?
2/41
Which is the second smallest value? (a) 4 (b) -0.3 (c) 150 (d) -0.4
b
What is the fourth smallest value in -10, -8/7, 0, -101?
0
Which is the third biggest value? (a) -11.282 (b) 42 (c) -0.1
a
Which is the third biggest value? (a) -93 (b) 30/17 (c) 0.2
a
What is the fourth biggest value in 2/11, -2/13, -7, -1275?
-1275
What is the second biggest value in 0.2, 2/17, 1, -19, 0.22?
0.22
What is the biggest value in 1, 22, -2/161, -1?
22
What is the biggest value in -1/3, 3, 3/5, -19/161?
3
Which is the third smallest value? (a) -1/298 (b) -42 (c) -5/8
a
What is the second smallest value in -2/13, -12/5, -1.6, -9?
-12/5
Which is the second smallest value? (a) -8 (b) 2/61 (c) -2 (d) -4 (e) 1/3
d
Which is the second smallest value? (a) 2/7 (b) 2/45 (c) -1914 (d) -4/7
d
What is the third smallest value in 1/119, -29.2, -0.2?
1/119
Which is the second smallest value? (a) 0.18 (b) -7 (c) 417 (d) -3/4
d
Which is the second biggest value? (a) 0.5 (b) 404 (c) -5
a
What is the third smallest value in -2, -0.5, 127?
127
What is the fifth biggest value in -94, -2/5, -0.03, -9, -0.3, 4?
-9
Which is the fifth biggest value? (a) -10 (b) 11/7 (c) 0.1 (d) 5 (e) -3
a
What is the biggest value in 11/3, -22, 0.4, -1.6, 0.5, 0?
11/3
Which is the smallest value? (a) 5 (b) -344 (c) 0.4
b
What is the fourth biggest value in -0.022, 5, 31, -2?
-2
Which is the second smallest value? (a) 0.1 (b) -3/7 (c) 22/3 (d) -69
b
Which is the third biggest value? (a) -5 (b) 11.95 (c) 27 (d) 3/5
d
What is the smallest value in 1842.97, 0, -0.3?
-0.3
What is the third smallest value in 1, 365, 0.1, -47, 4/5?
4/5
Which is the fifth smallest value? (a) 1/9 (b) -2 (c) 1/2 (d) 22/5 (e) 49
e
Which is the second biggest value? (a) 4.6 (b) -4261 (c) -3
c
What is the second smallest value in 1/3, -28, 2806?
1/3
Which is the third smallest value? (a) 0.5 (b) 15 (c) 111.3
c
What is the fourth smallest value in 22, -0.2, -41, -2/9?
22
Which is the fourth biggest value? (a) -32.6 (b) 2/13 (c) -1 (d) 0.049
a
Which is the second smallest value? (a) -12 (b) -0.5 (c) -0.3 (d) -97 (e) 0.3
a
What is the biggest value in -10, -9, -4, 0.0842?
0.0842
What is the fifth smallest value in -15, 3, 22, -1, 15?
22
What is the biggest value in 3, -4, 14/3, 2?
14/3
Which is the third biggest value? (a) 1 (b) 3 (c) -1112/5 (d) -1/33 (e) 1/2 (f) -0.4
e
Which is the third smallest value? (a) -1 (b) 0.00691 (c) -0.2 (d) 3
b
What is the third biggest value in -2, -1/3, 1650/31, -0.2?
-1/3
Which is the second smallest value? (a) -19950 (b) 46 (c) 2
c
Which is the fifth smallest value? (a) 5 (b) -90 (c) -4 (d) -1 (e) -5/6
a
What is the fourth biggest value in -1/3, 0, 0.05, -0.06515?
-1/3
Which is the second biggest value? (a) 10 (b) -0.1 (c) 1.2 (d) 19
a
What is the second biggest value in -1/8, -0.5, 213, 13?
13
Which is the fourth smallest value? (a) 10.79 (b) 0.4 (c) 1/4 (d) -0.7
a
Which is the fourth biggest value? (a) 0 (b) -0.3201 (c) -4 (d) -1
c
What is the fourth biggest value in 5, 54, -1/8, -32?
-32
What is the third smallest value in 0.318, 3/4, -1/145?
3/4
What is the third biggest value in -0.5, -32, 1/1334?
-32
What is the second biggest value in 0.2, 0.5, 3/2, -17, -1/4?
0.5
Which is the third smallest value? (a) -0.08 (b) 0.1 (c) -56 (d) 0 (e) 1.3 (f) -2
a
What is the second smallest value in 4/7, -0.1, -277, -36?
-36
What is the second smallest value in 0.4, -10/99, 0.15?
0.15
What is the second smallest value in 15, 2257, -0.4?
15
Which is the smallest value? (a) -12.3 (b) 2 (c) 2/9
a
Which is the fifth biggest value? (a) 2/15 (b) 5 (c) -6 (d) 0.3 (e) -20
e
Which is the fourth smallest value? (a) 0.2 (b) -3/8 (c) -1.93 (d) -2/7
a
Which is the third biggest value? (a) 28.4 (b) -0.89 (c) 4
b
What is the third biggest value in 1, -7, -224?
-224
What is the third biggest value in -5, -30, 2/7, 297?
-5
Which is the biggest value? (a) 4.59 (b) 7 (c) -5
b
What is the third biggest value in -97, 10, 0.08?
-97
Which is the second smallest value? (a) 17521 (b) -0.06 (c) 1/7
c
What is the biggest value in 1, 1/5, 0.5, 42672?
42672
What is the third biggest value in 53, 15, 121?
15
Which is the second biggest value? (a) -0.1296 (b) 54 (c) -3
a
What is the biggest value in -1/4, -4, 0, 0.4, -64?
0.4
What is the smallest value in -2, -303, -1/5, 0.9?
-303
Which is the second biggest value? (a) -0.3 (b) -2 (c) 0.16 (d) 62
c
What is the fourth smallest value in -1.9, 0.3, 196/5, 2?
196/5
Which is the sixth biggest value? (a) 0.5 (b) -3 (c) 9 (d) -0.08 (e) 3 (f) 1/6
b
Which is the second smallest value? (a) -0.1 (b) -3.4 (c) 0.15 (d) 2.2
a
Which is the fourth biggest value? (a) 18 (b) -5/53 (c) 1/4 (d) 3
b
What is the third smallest value in 0, -1, 55, -0.2, 2, -52?
-0.2
What is the third smallest value in 10, -0.1, 2, -16, 4, 0.6?
0.6
What is the biggest value in -1/4, -25, 18/11, 4?
4
What is the second biggest value in 2, 0.099, 99?
2
What is the second biggest value in 0.1107, -5, 5, -2?
0.1107
What is the third smallest value in 1126/3, -2, -1/4, -0.08?
-0.08
Which is the second smallest value? (a) -12/13 (b) 120 (c) -3
a
What is the smallest value in -3, -14338, 0.03?
-14338
What is the second biggest value in 1/4, 1, 21/2, 146/3?
21/2
What is the biggest value in 0, 2/11, 4, -71.6?
4
Which is the biggest value? (a) -325 (b) -118 (c) -28
c
Which is the second biggest value? (a) 0.11 (b) -0.1 (c) -2/9 (d) 2 (e) -27
a
What is the second biggest value in -4, 0.02, 4/17, 5/8, 1?
5/8
Which is the biggest value? (a) 24.6 (b) 2/287 (c) 0.4 (d) -4
a
Which is the biggest value? (a) 2/11 (b) 619 (c) -3 (d) -6/11 (e) 1 (f) -0.5
b
Which is the biggest value? (a) -3/2 (b) 22 (c) -4 (d) 0.5 (e) -16
b
What is the second smallest value in 2, -3, -8/23, -7/3?
-7/3
Which is the second smallest value? (a) -2/11 (b) 0.1 (c) -1 (d) 22.23 (e) -0.5 (f) -4
c
Which is the fourth smallest value? (a) -5 (b) 0.11 (c) -626 (d) 3
d
Which is the second smallest value? (a) 12 (b) 113 (c) -3
a
What is the fourth biggest value in 3, 4, -1/2, 50/13, -1/9?
-1/9
What is the third smallest value in 1, 0.007, 4932.1?
4932.1
Which is the biggest value? (a) -3 (b) 3 (c) 1529460
c
Which is the third biggest value? (a) 7 (b) -4 (c) -350 (d) -1/7 (e) 3/2 (f) 3
e
What is the third smallest value in 21/20, -82.4, -2, -4, 0.2?
-2
Which is the fourth biggest value? (a) -4 (b) -0.3 (c) -124 (d) -493
d
What is the fourth biggest value in -1/3453, 2, -0.7, 3?
-0.7
Which is the fourth smallest value? (a) -26 (b) 0.091 (c) -3 (d) 0.5 (e) 0 (f) 5
b
Which is the second biggest value? (a) 5 (b) -65 (c) 4 (d) -1 (e) -4/9
c
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
est to 1 in t, 5, 4/3?
4/3
Let d be (2715/270 - 10)*2/1. What is the closest to -3 in 0.2, d, -1/6, -0.2?
-0.2
Suppose -o - 6 + 8 = 0. Suppose -o*s - s = 5*k - 110, 0 = -3*k - s + 66. Let z be (-116)/154 + 4/k. Which is the closest to 1? (a) 2 (b) z (c) 0.2
c
Let c = 0.041 - -3.859. Let g = c - 3.1. What is the closest to g in 4, -0.5, 1/3?
1/3
Let i = 1/243 - 1961/4131. Which is the nearest to i? (a) 3 (b) -3 (c) -1
c
Let l(y) = -y + 9. Let n be l(9). Suppose 4*a + 192 = -n*a. Let w be -2 + (a/14)/(-2). What is the closest to 0.2 in -0.3, w, -1/4?
-1/4
Suppose -5*s + 4*h = 25, -5*s + 44*h = 45*h. Let l = -4.3 - -3. Let p = l - -1. Which is the closest to -2? (a) s (b) p (c) -2
c
Let o = -5 - -5. Let u = o + 0.2. Let q = -19 - -18.9. What is the closest to u in 2, q, 3?
q
Let u(g) = g**3 + 9*g**2 + 8*g. Let y be u(-8). Let h = 7/20 - 13/30. Let k = 5/12 - h. Which is the nearest to k? (a) y (b) 0.2 (c) -2/7
b
Let a be -8 - 105/(-14)*32/40. What is the nearest to a in -5, 4, -0.02?
-0.02
Let a = -0.6 - 4.4. Let l = -5.3 - a. Let c = 17.02 - 17. What is the nearest to c in 0.5, l, 2/15?
2/15
Let k = 0.564 - 0.564. What is the nearest to 3 in -1, 3, k, -0.4?
3
Let o = 52 - 52.1. Let d = 0.99 - -0.01. Let n = d - 0.6. Which is the nearest to o? (a) -1/6 (b) -1 (c) n
a
Let l = 0.262 - 0.262. Which is the closest to -1? (a) l (b) 1 (c) 3 (d) 0.3
a
Let i = -1517 + 1517.1. What is the nearest to 0 in i, 1, -0.52?
i
Let m = -4/269 - -281/807. Which is the closest to 4? (a) 1/4 (b) m (c) 0.4
c
Let q = 1068/5 + -214. Which is the closest to -1/2? (a) -5/4 (b) -1 (c) q
c
Let w be (-36)/20 + (-1)/5. Let x be (w + 0)*-2 - 3. Let r be (-4 - 33/(-9))*x. Which is the nearest to -0.2? (a) -1 (b) -0.4 (c) r
c
Suppose 25 = 5*p, p + 15 = 18*n - 23*n. What is the nearest to -2 in n, 3, -0.4?
-0.4
Let t = -0.617 - -2.617. What is the nearest to -1/4 in -3/2, -32, 3/2, t?
-3/2
Let z = -12 + 12.01. Let o = z + -3.01. Let d = 1/8 - -9/56. Which is the closest to 2/9? (a) 1 (b) o (c) d
c
Let z = 29 + -28. What is the nearest to z in 0.3, -2, 5?
0.3
Let n be (-33)/36 - 2/(-3). Let m = -0.848 - 12.152. What is the nearest to n in m, 2/11, 1/5?
2/11
Let x = 1526.5 - 1526. Which is the closest to 0.2? (a) x (b) 1 (c) 0.053
c
Let m = 78 + -75. Suppose -3*t = -2*t - m. Which is the nearest to 0.1? (a) -0.4 (b) t (c) 1
a
Let o(w) = -2*w - 4. Let l be (-4)/(-14) - (-396)/(-63). Let q be o(l). Suppose 8 = -q*u + 6*u. Which is the closest to -2? (a) -1 (b) 4/3 (c) u
a
Let s = -2/3523 - 3519/7046. Which is the closest to s? (a) -0.2 (b) -2 (c) 3.1
a
Let v be 2886/(-108) - (-2)/9. Let y = 27 + v. What is the nearest to y in 0.1, 0.2, -2?
0.2
Let y = 965.6 - 966. Let f = -0.04 - -0.44. What is the nearest to -1 in y, -6/7, f?
-6/7
Let z = 4.4 + -2.2. Let x = -15 + 13.8. Let k = z + x. What is the nearest to k in -1/2, 5, -2?
-1/2
Let o = -0.79 + 7.89. Let i = o + 58.9. Which is the closest to -0.1? (a) -2/9 (b) i (c) 0
c
Let v = -123/185 - 1/555. Which is the closest to v? (a) -0.3 (b) 5/2 (c) 0
a
Let z = -0.1 - -0.1. Suppose -2*n - 4*j - 44 = -9*j, 5*n + 4*j = -176. Let h = 98/3 + n. What is the closest to h in -0.5, 5, z?
z
Let k = -45 - 10. Let v = -57 - k. What is the nearest to v in 1, 1/4, 1/2?
1/4
Let p = -559 - -559.4. Which is the nearest to 4/51? (a) 0.2 (b) p (c) 0 (d) -5
c
Let m be (-178)/20*(7 - 5). Let l = 18 + m. Let s = 2.8 - -0.2. Which is the nearest to 2? (a) -0.1 (b) l (c) s
c
Suppose -5*v + 41 = -2*s, s + v + 27 = -3*s. Let t = -6 - s. Let h be ((-18)/(-20))/((-60)/50). What is the closest to -5 in t, 0, h?
h
Let u = -146 - -231. Let k be (-265)/u + 3 - (-33)/(-153). What is the closest to k in -1/4, 0.5, 2/3?
-1/4
Let t = 3667/27615 + 1/1841. Let k be 3*(5/(-3))/1. Which is the nearest to -1? (a) t (b) k (c) 0.4
a
Let l = 8 - 8.5. Which is the nearest to l? (a) 0 (b) 1/2 (c) -3
a
Let i = 0.1 - 4.1. Let o = -0.4476 + 0.3476. What is the closest to o in -0.3, 0.5, i?
-0.3
Suppose 3*j = 2*h + 19, -13 = 7*j - 8*j + 2*h. Let d(x) = x**2 - 4*x - 5. Let s be d(5). Which is the nearest to s? (a) 6 (b) j (c) 0.2
c
Let r = -3 - -2.8. Let k = -1.972 + -0.028. Which is the nearest to -1? (a) k (b) r (c) 2/11
b
Let q = -26 - -37. Suppose -43 = 5*u - 48. Let z be q/(-44)*(-2 + u). What is the closest to 3/5 in 0.1, 1, z?
z
Suppose 2*z - d = -14, -33 = 5*d - 13. What is the closest to 0.1 in -2/11, z, -5, 3?
-2/11
Suppose -2*v - 4*l - 10 = 0, 2*l - 8 = -4*v + 2. Let o = -1.076 - -0.076. Let i = -1/90 + -4/45. Which is the closest to o? (a) 1/8 (b) i (c) v
b
Let w = -2014.97 - -2015. Let t = -6/23 - -1/92. What is the closest to w in 0.1, t, -5?
0.1
Suppose j - 15 = 11. Suppose -5*s - j = -0*q + 2*q, -3*q - 3*s - 21 = 0. Which is the nearest to 1? (a) -0.3 (b) 0.08 (c) q
b
Let t = 8.74 - 7. Let y = 0.26 + t. Which is the nearest to 1? (a) -0.1 (b) y (c) -3
b
Let m = 157 - 166.1. Let f = -9 - m. Suppose 0 = -z - 9 + 7. Which is the nearest to z? (a) 2/11 (b) -1 (c) f
b
Let i = 30.3 + -30. Let b = -4/5 - 7/10. What is the closest to -1 in 0.5, i, b?
b
Let u = -20 + 19.5. Let i = -415/2 + 210. Which is the closest to 4.2? (a) 0 (b) u (c) i
c
Let v be (-66)/(-27) + 16/(-36). What is the nearest to -1/3 in -2/33, 3, v?
-2/33
Suppose -2*n = 38 - 36. Let x be 1 - (-54)/45*n/2. Let v(u) = 4*u**3 + 2*u - 1. Let h be v(1). What is the closest to 0 in x, 2/11, h?
2/11
Let j = 0.05 - -3.95. Let t = -32.7 + 33. Suppose 2*q - 3*u = -25, 2*u + 3 - 13 = 0. Which is the nearest to 1/5? (a) q (b) j (c) t
c
Let s be (-2)/(-6) - (-2)/(-42). Let g = 32.921 - -0.079. Let n = g + -33.2. What is the closest to s in 0.06, n, 2/9?
2/9
Let s be ((-32)/112)/((-8)/(-14)). Which is the nearest to 0.1? (a) 2 (b) 9 (c) s
c
Let w be (2 - 12/2)/(-10). What is the nearest to w in -5, 1/3, 5?
1/3
Let r be (-393)/1048 + 9/4 + -2. Which is the closest to 1/5? (a) r (b) -9 (c) 0.3 (d) -4
c
Let l be (-4)/(8/30 + 24/(-40)). Let p be (-39)/(-52) - 3/l. What is the closest to 1 in p, 5, -0.2?
p
Let i = 228.7 - 229. What is the nearest to 0.2 in i, -5, -3/5?
i
Let k = 4.94 - -0.06. Let t be (-8 - 517/(-66))*-14. What is the nearest to 2 in k, 2/7, t?
t
Let o(w) = -9*w - 8. Let x be o(-1). Which is the closest to 0.2? (a) -1 (b) 2/5 (c) -4 (d) x
b
Let x = 1083 + -1083.1. What is the closest to -1/2 in x, -0.06, 5?
x
Suppose 15*m + 22 - 7 = 0. Which is the closest to m? (a) 1/3 (b) 0.14 (c) -4 (d) -2
d
Let u = -0.206 + -22.194. Let g = u + 22. What is the closest to -2/29 in g, -4, 3?
g
Let m(x) = -x**3 - 5*x**2 + 8*x + 7. Let n be m(-6). Let i be (288/10)/(56/(-120)). Let w = i + 62. Which is the nearest to w? (a) 5 (b) -4 (c) n
b
Let l be 15/(9000/105) - 6/16. What is the nearest to 1 in -0.5, l, 1/4?
1/4
Let v = -2 - 2. Let y = 0.1 + 0.05. Let m = y + 0.85. Which is the nearest to m? (a) v (b) 1/6 (c) 1/3
c
Let h = 9.6 + -6.6. Let d = -0.08 + -3.92. Let s = -4 - -3. Which is the nearest to s? (a) 4 (b) h (c) d
c
Let s = -226 - -222. Which is the closest to 2? (a) 0.5 (b) 5 (c) s (d) -5
a
Let x be 393/(-21) - 6/21. Let v = x - -191/10. Let a = -8 + 7. What is the nearest to 1 in 0.3, v, a?
0.3
Let g = 0.3 + 3.7. Let k = -5 + 7. Let l = k + -5. Which is the nearest to l? (a) 0 (b) 0.4 (c) g
a
Let t = 27 - 27.3. Let n = -0.56 - -0.89. Let x = n + 0.07. What is the nearest to 0.1 in t, x, -0.5?
x
Let u = 85 + -84.85. Let m = u - 0.65. What is the closest to -1 in 6, 2, m?
m
Let o = -0.1 + 0. Let v = -31 + 31.13. Let a = v + 1.87. What is the closest to o in 4/3, a, -0.2?
-0.2
Let w = 60.7 + -61.7. Which is the closest to w? (a) 0.5 (b) -3 (c) 20
a
Let d = -0.48 - -0.48. What is the closest to 0 in d, -2/3, -17, -3?
d
Suppose -r = 0, 3*t - r + 6*r = -3. Which is the nearest to -2/3? (a) t (b) 3 (c) 2/11
a
Let j = -19 + 27. Let i be (j/(-16))/((-2)/16). Which is the nearest to 3? (a) i (b) -1 (c) -0.4
a
Suppose 0 = 2*x - 16 + 2. Suppose -5*p = -5*o, 4 = x*p - 3*p. What is the nearest to o in -1, -5, -0.2?
-0.2
Let f = -28 - -29. Let i = -6 - -6. Let u = 0 + i. Which is the nearest to f? (a) 2/3 (b) u (c) 1
c
Let z = -11.08 + 0.08. Let g = 22 + z. Let j = g - 11. What is the nearest to 2/3 in -
|
{
"pile_set_name": "DM Mathematics"
}
|
31887?
-31902
What is the next term in 55, 316, 751, 1360, 2143?
3100
What comes next: -50, -66, -104, -164?
-246
What is next in -107, -463, -1131, -2171, -3643, -5607, -8123?
-11251
What comes next: -3393, -6975, -10557?
-14139
What is the next term in -26614, -106441, -239486, -425749, -665230?
-957929
What is the next term in -1054, -2004, -2738, -3148, -3126, -2564, -1354, 612?
3442
What is the next term in -18, -182, -498, -966, -1586, -2358?
-3282
What is next in -1213, -2373, -3533, -4693?
-5853
What is next in 20873, 41818, 62763, 83708?
104653
What comes next: 473537, 947074, 1420609, 1894142, 2367673, 2841202, 3314729?
3788254
What is next in -1083, -1165, -1251, -1341, -1435?
-1533
What is next in 15582, 15571, 15552, 15525, 15490, 15447?
15396
What is next in -580, -653, -836, -1183, -1748, -2585, -3748?
-5291
What is next in 9458, 18649, 27840, 37031, 46222?
55413
What is the next term in -3269, -3289, -3321, -3371, -3445?
-3549
What comes next: 25602, 102838, 231564, 411780, 643486?
926682
What is next in 661, 1317, 1979, 2653, 3345, 4061, 4807, 5589?
6413
What is the next term in 333, 350, 363, 372, 377, 378?
375
What comes next: -22105, -44204, -66303, -88402, -110501, -132600?
-154699
What is the next term in -366, -848, -1318, -1776, -2222, -2656, -3078?
-3488
What is the next term in 4255, 8531, 12805, 17077, 21347?
25615
What is the next term in -11089, -22178, -33267, -44356, -55445, -66534?
-77623
What is the next term in 6881, 6820, 6749, 6662, 6553, 6416, 6245, 6034?
5777
What is next in 205627, 411258, 616889, 822520?
1028151
What comes next: 555, 392, 227, 60?
-109
What is next in 16311, 32609, 48905, 65199, 81491?
97781
What comes next: 675, 620, 491, 252, -133, -700, -1485?
-2524
What comes next: 35, 69, 169, 359, 663?
1105
What comes next: -6604, -6640, -6690, -6760, -6856, -6984, -7150?
-7360
What is next in 4269, 4270, 4267, 4260, 4249, 4234, 4215?
4192
What is next in -6976, -6977, -6976, -6973, -6968, -6961?
-6952
What is the next term in -82, -432, -1046, -1924, -3066, -4472, -6142?
-8076
What comes next: -1337, -1313, -1289, -1265, -1241?
-1217
What comes next: -234174, -234176, -234178, -234180, -234182?
-234184
What is next in -43760, -43810, -43894, -44012?
-44164
What is next in 77, 167, 277, 407, 557, 727, 917?
1127
What is next in -2681, -5398, -8143, -10916, -13717?
-16546
What comes next: 6011, 12032, 18053, 24074, 30095?
36116
What is next in -29704, -59412, -89122, -118834?
-148548
What comes next: -11101, -22207, -33311, -44413, -55513?
-66611
What is next in -99, -964, -1827, -2688?
-3547
What is the next term in 2238, 4479, 6722, 8967, 11214, 13463, 15714?
17967
What is next in -99, -153, -201, -237, -255?
-249
What is the next term in 606, 1660, 3170, 5142, 7582, 10496, 13890, 17770?
22142
What is the next term in 930, 1352, 1774?
2196
What is the next term in -12897, -12792, -12685, -12576?
-12465
What is next in 1765, 1725, 1671, 1597, 1497, 1365?
1195
What is the next term in -2755, -5587, -8419, -11251?
-14083
What comes next: -17070, -34136, -51194, -68238, -85262, -102260?
-119226
What is next in -383, 513, 1411, 2311, 3213, 4117?
5023
What is the next term in -4528839, -9057679, -13586517, -18115353, -22644187?
-27173019
What is next in 2034, 3070, 4106, 5142?
6178
What is next in 849, 1747, 2681, 3645, 4633?
5639
What is the next term in 89, 113, 137, 161, 185, 209?
233
What is the next term in -541, -1043, -1539, -2029, -2513, -2991, -3463?
-3929
What is the next term in 39118, 156453, 352006, 625777, 977766, 1407973, 1916398?
2503041
What comes next: -189035, -378072, -567111, -756152, -945195?
-1134240
What comes next: -683, -1345, -2007, -2669, -3331, -3993?
-4655
What is next in 38710, 38705, 38698, 38689, 38678, 38665, 38650?
38633
What is the next term in -10671, -42687, -96047, -170751?
-266799
What is next in 2760, 5509, 8258, 11007?
13756
What is next in 44285, 88571, 132857, 177143, 221429?
265715
What comes next: 362, 376, 428, 536, 718?
992
What is the next term in -202363, -404728, -607093, -809458, -1011823, -1214188?
-1416553
What is next in -887, -1350, -1799, -2228, -2631, -3002?
-3335
What is the next term in 489, 622, 821, 1068, 1345, 1634, 1917?
2176
What is next in 2398, 9458, 21226, 37702, 58886, 84778, 115378?
150686
What is the next term in 65378, 261519, 588420, 1046081, 1634502?
2353683
What is next in -6, 31, 128, 327, 670, 1199?
1956
What is next in 277, 15, -693, -2069, -4335, -7713?
-12425
What comes next: 401, 906, 1425, 1964, 2529, 3126?
3761
What is next in -66, -30, 292, 1044, 2370, 4414, 7320, 11232?
16294
What comes next: -3813, -7627, -11435, -15243, -19057, -22883?
-26727
What is the next term in -1169770, -2339538, -3509306?
-4679074
What is the next term in -72159, -288630, -649415, -1154514?
-1803927
What comes next: 4550, 5183, 5816?
6449
What comes next: -422, -1632, -3656, -6500, -10170, -14672?
-20012
What is the next term in -377, -2866, -9603, -22712, -44317?
-76542
What comes next: -202, -384, -522, -592, -570?
-432
What is next in 1994822, 1994823, 1994824, 1994825, 1994826, 1994827?
1994828
What is next in 232794, 465591, 698388, 931185?
1163982
What is next in -1138, -2337, -3594, -4909, -6282?
-7713
What is the next term in -12680, -12681, -12690, -12713, -12756, -12825, -12926, -13065?
-13248
What comes next: -106, -949, -3280, -7855, -15430, -26761, -42604, -63715?
-90850
What is next in 3288, 3476, 3790, 4230?
4796
What is next in 1336399, 1336398, 1336397, 1336396, 1336395, 1336394?
1336393
What comes next: -284, -991, -2082, -3551, -5392, -7599, -10166?
-13087
What is the next term in 166114, 166115, 166116, 166117, 166118?
166119
What is the next term in 1125, 2507, 3895, 5289?
6689
What is the next term in -1463590, -2927180, -4390770, -5854360?
-7317950
What comes next: 2280, 2582, 3086, 3792, 4700, 5810?
7122
What is next in 2211, 2202, 2189, 2172, 2151, 2126?
2097
What comes next: 212, 245, 294, 365, 464, 597?
770
What is next in -8, -18, -32, -50, -72, -98?
-128
What is next in 666, 1022, 1378, 1734?
2090
What is next in -38, -74, -48, 70, 310?
702
What comes next: -28914, -57830, -86744, -115656?
-144566
What comes next: 11156, 22311, 33476, 44657, 55860, 67091, 78356, 89661?
101012
What comes next: 972, 1976, 2986, 4002, 5024, 6052?
7086
What comes next: 192, 208, 224, 240, 256?
272
What is the next term in 20010, 40022, 60034, 80046, 100058?
120070
What is the next term in 64268, 64269, 64270, 64271?
64272
What is the next term in -2741, -2719, -2697, -2675?
-2653
What is the next term in -1076, -1116, -1158, -1202, -1248?
-1296
What is the next term in -61237, -61242, -61245, -61246, -61245, -61242?
-61237
What is the next term in -2195, -2193, -2189, -2183?
-2175
What is next in 147, 542, 1189, 2088, 3239, 4642?
6297
What is next in -26930, -26932, -26934?
-26936
What comes next: -264280, -264284, -264288?
-264292
What is the next term in 343, 616, 889?
1162
What is the next term in -24445, -97385, -218951, -389143, -607961?
-875405
What is the next term in 7681, 7625, 7569, 7513, 7457, 7401?
7345
What comes next: -3002, -2950, -2880, -2798, -2710?
-2622
What is the next term in -5151, -5142, -5133?
-5124
What comes next: -959, -961, -957, -947?
-931
What is the next term in -1992, -3929, -5890, -7881, -9908?
-11977
What is next in 14419, 57726, 129937, 231058, 361095, 520054, 707941?
924762
What is the next term in -12440, -24881, -37320, -49757, -62192, -74625?
-87056
What comes next: 74, 335, 778, 1403, 2210?
3199
What is next in 13805, 13807, 13809?
13811
What comes next: -739, -1456, -2151, -2824?
-3475
What comes next: -3258, -6497, -9736?
-12975
What comes next: 32783, 65542, 98301, 131060?
163819
What is next in -693, -766, -839, -912, -985, -1058?
-1131
What is the next term in -245, -569, -893, -1217, -1541?
-1865
What is next in -176, -1254, -3246, -6152, -9972, -14706, -20354?
-26916
What is next in 3792, 3819, 3846, 3873, 3900, 3927?
3954
What is next in 12652, 25301, 37950?
50599
What comes next: 1708, 1517, 1328, 1141?
956
What is the next term in 2074133, 4148264, 6222395, 8296526, 10370657?
12444788
What is next in -504, -1018, -1532, -2046?
-2560
What is next in 19201, 76814, 172835, 307264, 4801
|
{
"pile_set_name": "DM Mathematics"
}
|
-1116b
What is -2013234 (base 6) in base 3?
-11211210111
42734 (base 12) to base 8
252630
What is -18359 (base 11) in base 14?
-952c
Convert -3217 (base 14) to base 9.
-12765
What is ac55 (base 13) in base 16?
5e04
Convert 4151252 (base 6) to base 14.
53476
What is 2230223011 (base 4) in base 9?
1287164
What is 1512730 (base 9) in base 7?
10046163
Convert -120358 (base 13) to base 15.
-8719a
What is -230220501 (base 7) in base 15?
-1374a13
What is -1999a (base 16) in base 11?
-71866
What is 47e83 (base 16) in base 2?
1000111111010000011
-7701134 (base 9) to base 2
-1111110001010101111111
Convert 143ab8 (base 13) to base 9.
832534
What is -296ec (base 16) in base 5?
-20412313
What is 1000101001011010010101000 (base 2) in base 11?
a266532
Convert -33021130301 (base 4) to base 10.
-3970865
Convert -120001221010 (base 3) to base 8.
-1103314
Convert -10242141 (base 5) to base 6.
-1511323
2036117 (base 14) to base 9
31523120
-86710 (base 12) to base 8
-532174
-40cb0a (base 16) to base 6
-231002414
1506360 (base 7) to base 6
4212043
Convert -147303 (base 8) to base 11.
-3684a
Convert 59661 (base 11) to base 13.
30198
Convert -1234627 (base 8) to base 14.
-8cb0b
Convert 2633b (base 13) to base 15.
15ee1
3113230103 (base 4) to base 8
3275423
-711791 (base 13) to base 6
-132221022
What is -19a05 (base 15) in base 13?
-2bb83
Convert -50520 (base 11) to base 2.
-10010000001101000
Convert 578803 (base 9) to base 2.
1010100111000000111
-2548081 (base 9) to base 14
-282936
Convert -1100110011001011 (base 2) to base 7.
-305564
-10301603 (base 7) to base 6
-30425032
What is -6ac6e (base 16) in base 9?
-735843
What is -1023252 (base 6) in base 5?
-3100000
-20402353 (base 6) to base 4
-2100122331
What is 1c10a (base 14) in base 4?
101131332
Convert -34041015 (base 6) to base 16.
-fbea3
What is 39556 (base 13) in base 2?
11001111110000100
What is 2121121212 (base 3) in base 2?
1100100100011101
What is 21111002101012 (base 3) in base 12?
13b9aab
What is -170870 (base 11) in base 2?
-1000000100110000111
-2205526 (base 8) to base 3
-1010010001211
-1465503 (base 7) to base 2
-110001001000011110
What is 233203103302 (base 4) in base 12?
421192a
Convert -13334024 (base 5) to base 2.
-100001011000111100
Convert -12467347 (base 8) to base 7.
-32431406
What is -1212210200010 (base 3) in base 14?
-1c05ac
What is 1000355 (base 7) in base 12?
58238
Convert -5611503 (base 8) to base 13.
-40c438
What is -45334362 (base 7) in base 16?
-3c24e4
-3022103 (base 6) to base 3
-21021012110
What is -413413532 (base 6) in base 14?
-d497c4
-1433023314 (base 5) to base 8
-16373070
What is 353bb (base 12) in base 9?
117868
-29339 (base 14) to base 5
-11232132
-6845783 (base 9) to base 7
-43243410
Convert -1432264 (base 7) to base 8.
-570616
What is -55a2 (base 11) in base 16?
-1ccc
Convert 105240 (base 10) to base 7.
615552
Convert -34202512 (base 6) to base 4.
-3332202230
What is 373387 (base 9) in base 7?
1626451
Convert -5046412 (base 7) to base 6.
-20510144
Convert -10599 (base 11) to base 7.
-62523
What is 1086048 (base 10) in base 12?
444600
What is -958658 (base 12) in base 3?
-11102210110112
Convert 165776 (base 13) to base 11.
349a17
-26116414 (base 7) to base 9
-4418121
-4345322 (base 6) to base 7
-1560503
Convert -10111333 (base 4) to base 8.
-42577
What is 2931747 (base 13) in base 3?
220121202101120
What is 7e13 (base 16) in base 10?
32275
Convert 24421214 (base 5) to base 16.
38cec
1230023320 (base 5) to base 9
5526631
Convert -29a20 (base 16) to base 4.
-221220200
Convert -5323314 (base 6) to base 2.
-111111011101111110
Convert 92e606 (base 16) to base 12.
328331a
-1105344 (base 7) to base 15
-2a600
19295 (base 13) to base 2
1011111010011010
Convert 2220221210212 (base 3) to base 7.
16131605
What is -169170 (base 10) in base 14?
-45918
-13230302 (base 5) to base 10
-133202
Convert b51122 (base 12) to base 4.
22312001222
111110000000001 (base 2) to base 3
1121112202
Convert -11230430 (base 5) to base 14.
-29250
What is 66647 (base 16) in base 13?
118b86
Convert 228008 (base 14) to base 13.
321747
Convert 888060 (base 13) to base 12.
10b1486
-863121 (base 9) to base 11
-321234
Convert -320272 (base 8) to base 12.
-518a2
Convert -4b2405 (base 12) to base 7.
-13301414
-499c91 (base 14) to base 3
-11202020120110
What is 2021041 (base 6) in base 11?
66265
31032511 (base 6) to base 9
1607157
Convert 22040223 (base 5) to base 11.
11a885
25e33 (base 15) to base 16
1d9eb
Convert -6244735 (base 8) to base 11.
-a32185
What is 125154 (base 7) in base 10?
23412
What is 617374 (base 8) in base 16?
31efc
What is -c48304 (base 16) in base 10?
-12878596
What is -110211113 (base 4) in base 11?
-58387
Convert -1626495 (base 11) to base 3.
-12020000120120
Convert -3a467a (base 12) to base 6.
-32340234
What is -2fa31 (base 16) in base 10?
-195121
Convert bc84e6 (base 15) to base 5.
4300114431
Convert 276b42 (base 14) to base 6.
45115142
-256d4 (base 15) to base 8
-351572
Convert 172135 (base 8) to base 11.
43000
Convert 383b9c (base 15) to base 8.
12221300
What is -12200222212222 (base 3) in base 9?
-5628788
Convert 110122011210 (base 4) to base 5.
2332142412
45394 (base 13) to base 3
20101122101
Convert 202520 (base 8) to base 2.
10000010101010000
Convert 2132130100 (base 4) to base 3.
1012222020011
Convert -12013332 (base 4) to base 16.
-61fe
-30a222b (base 12) to base 16
-8be8c3
What is -11210002121101 (base 3) in base 8?
-11542717
What is 34c080 (base 14) in base 4?
12313133300
Convert 27827 (base 13) to base 7.
425261
What is 111010011010111101 (base 2) in base 15?
4ad7d
What is -1408301 (base 9) in base 12?
-313901
What is 70348 (base 12) in base 8?
434350
What is 12a45a (base 16) in base 15?
191ed2
Convert -22455255 (base 7) to base 2.
-111011111010111001110
Convert -82502 (base 10) to base 14.
-220d0
Convert -3451316 (base 8) to base 12.
-393292
Convert -404101 (base 6) to base 8.
-76405
Convert 20000210222 (base 3) to base 6.
2313255
3b2fb (base 16) to base 13
86463
What is -99a426 (base 11) in base 8?
-6053252
4144320340 (base 5) to base 13
1a19475
-6558 (base 11) to base 7
-34142
Convert -8735620 (base 9) to base 6.
-244254543
What is 2220030211 (base 4) in base 5?
134021213
Convert -46f416 (base 16) to base 5.
-2142300011
-1013a0b (base 12) to base 7
-34420202
Convert 218262 (base 14) to base 13.
30a3a8
Convert 133a40 (base 12) to base 11.
1a777a
Convert -13212211 (base 5) to base 10.
-132181
12a11 (base 11) to base 4
10201131
Convert -4825 (base 9) to base 5.
-103322
-4423a (base 12) to base 13
-32089
Convert 110000101111101001111 (base 2) to base 11.
9a1058
2111212201 (base 3) to base 15
e9dd
144020 (base 15) to base 4
3232020231
-105524 (base 6) to base 2
-10001101011100
-154838 (base 10) to base 6
-3152502
What is -d5e9 (base 16) in base 13?
-1bc05
Convert 3351361 (base 7) to base 3.
210010111221
Convert 372ef (base 16) to base 2.
110111001011101111
Convert 474225 (base 9) to base 2.
1000101101000101000
-65776223 (base 8) to base 12
-48a75ab
Convert 10321110232 (base 4) to base 7.
13623421
What is 232534242 (base 6) in base 4?
100202213102
Convert -1432566 (base 7) to base 9.
-323740
What is -111230302 (base 4) in base 16?
-15b32
What is 37b122 (base 13) in base 2?
101000110101100111010
Convert 44184 (base 13) to base 15.
26809
56981 (base 12) to base 2
11100001011110001
9f62d (base 16) to base 11
406546
What is -10000110011010101 (base 2) in base 4?
-100303111
Convert -10331432 (base 7) to base 6.
-30522025
-1010110111101111100 (base 2) to base 3
-200002122100
Convert -1001201211110 (base 3) to base 5.
-121044311
-21982c (base 13) to base 11
-4a1302
What is ad54 (base 15) in base 4?
20332102
What is 3fee4d (base 16) in base 11?
2401925
-71592 (base 10) to base 11
-49874
-218886 (base 9) to base 6
-2451253
-a1a054 (base 13) to base 11
-2140661
What is 1935598 (base 10) in base 11?
1102275
2606c (base 14) to base 9
152088
Convert -1d83cd (base 14) to base 10.
-1059953
What is -2022002021120 (base 3) in base 13?
-33a2a8
-17d95 (base 16) to base 11
-67435
2973a (base 14) to base 16
19228
What is -206370 (base 8) in base 10?
-68856
What is 817786a (base 11) in base 4?
313012330303
Convert 2120012 (base 6) to base 10.
103688
What is -7913 (base 10) in base 12?
-46b5
-130441024 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
4, 2, 0
Sort -0.2, 2/13, 5, 0.3, 9123, -16 in decreasing order.
9123, 5, 0.3, 2/13, -0.2, -16
Put -1, -39, -3759, 4 in decreasing order.
4, -1, -39, -3759
Sort -1, 6671, -0.10711 in descending order.
6671, -0.10711, -1
Sort 22, 978, -474/13 in ascending order.
-474/13, 22, 978
Put 4, -5, 86, -132, -47 in increasing order.
-132, -47, -5, 4, 86
Put -0.4, -13412, 29, -27 in descending order.
29, -0.4, -27, -13412
Sort 8, -0.103, -5, 3, 1/5, -2/161 in descending order.
8, 3, 1/5, -2/161, -0.103, -5
Sort 4, -6, -4, -2, -61, 2.
-61, -6, -4, -2, 2, 4
Sort 1/5, 24.5, 2, 4, -6.25, 0.4 in decreasing order.
24.5, 4, 2, 0.4, 1/5, -6.25
Sort 5, -61, 0, -2, 4, -8 in decreasing order.
5, 4, 0, -2, -8, -61
Sort -1859, 2, 3, -2771 in ascending order.
-2771, -1859, 2, 3
Put -4, 11707, -147 in descending order.
11707, -4, -147
Sort 0.2, 1, 7, 570, -2.06 in decreasing order.
570, 7, 1, 0.2, -2.06
Sort -3, -29, -23, 965, -5 in descending order.
965, -3, -5, -23, -29
Sort -1, -0.013, -10/3, -0.5, 0.007 in ascending order.
-10/3, -1, -0.5, -0.013, 0.007
Put -2, 76, 3, -26, -4, 20 in increasing order.
-26, -4, -2, 3, 20, 76
Sort -37, 1, 2, -5, -3, -91, -2.
-91, -37, -5, -3, -2, 1, 2
Put -1, -5, -9800, -4, -39, 3, 2 in ascending order.
-9800, -39, -5, -4, -1, 2, 3
Put 2, 11, -118, 5715, -4 in decreasing order.
5715, 11, 2, -4, -118
Sort 1, -3, -4, 37, -267, 35 in ascending order.
-267, -4, -3, 1, 35, 37
Put -4, 5, 66, 866, -5 in increasing order.
-5, -4, 5, 66, 866
Sort -0.07, 1.2, -3, 1, -10/297 in descending order.
1.2, 1, -10/297, -0.07, -3
Put -17983, -20, -8 in decreasing order.
-8, -20, -17983
Put 13, 329849, 0.5 in decreasing order.
329849, 13, 0.5
Sort -3, 8, -943, -50.
-943, -50, -3, 8
Sort -4, 43, 2, -7278 in descending order.
43, 2, -4, -7278
Sort 143, 5, -4, -56, -203, -3 in decreasing order.
143, 5, -3, -4, -56, -203
Put -132, 8, -4179 in increasing order.
-4179, -132, 8
Put -2, -0.14, 30219 in descending order.
30219, -0.14, -2
Put 1/5, -0.3, -4, -5, 0, 15, -8 in descending order.
15, 1/5, 0, -0.3, -4, -5, -8
Sort -2, 3, 437/205, 1/5 in decreasing order.
3, 437/205, 1/5, -2
Sort -305, -3, 3, 2, -1, 4, -6 in ascending order.
-305, -6, -3, -1, 2, 3, 4
Put 50, -31094, -0.3 in ascending order.
-31094, -0.3, 50
Put 16, -2, -4, -3, 11, 5, 50 in increasing order.
-4, -3, -2, 5, 11, 16, 50
Sort 12301, 2207, 2 in decreasing order.
12301, 2207, 2
Put 0.5, -2/7, 2, 20114, 0.1, 27 in descending order.
20114, 27, 2, 0.5, 0.1, -2/7
Put -33, 5, 8, -8, -3, -95 in increasing order.
-95, -33, -8, -3, 5, 8
Put 11/115, 0.1, 47, 4/5, -1.6, 0 in descending order.
47, 4/5, 0.1, 11/115, 0, -1.6
Sort 415/3, -2/15, -4/9, -0.035.
-4/9, -2/15, -0.035, 415/3
Put 3201, -35, 5, 3, 0, 2, -13 in descending order.
3201, 5, 3, 2, 0, -13, -35
Put 4, -4, 0.8, 26253, -1.6, -1 in ascending order.
-4, -1.6, -1, 0.8, 4, 26253
Sort -1236, 1000, -50 in decreasing order.
1000, -50, -1236
Put 1, 579, 2, -32, -17 in descending order.
579, 2, 1, -17, -32
Sort -2/9, 22, 4, -2/15, -4, 4096 in decreasing order.
4096, 22, 4, -2/15, -2/9, -4
Put 7.48, 17.4, 0, 13 in ascending order.
0, 7.48, 13, 17.4
Put -137, -13/5, 3/1759, 3/2 in descending order.
3/2, 3/1759, -13/5, -137
Put 47, 0.13, -5, -8, -25 in descending order.
47, 0.13, -5, -8, -25
Put 8, 127780, -1 in increasing order.
-1, 8, 127780
Sort 3, 4, -3, 1572, 0, -4 in increasing order.
-4, -3, 0, 3, 4, 1572
Put -19, 0.4, 2, 5, -30/11 in ascending order.
-19, -30/11, 0.4, 2, 5
Sort -1, 26, 3, 0, 226, -3, -10 in decreasing order.
226, 26, 3, 0, -1, -3, -10
Put 40070139, -1/10, 2 in descending order.
40070139, 2, -1/10
Sort 5, -34, -4, -242265 in increasing order.
-242265, -34, -4, 5
Sort 19.5, 64, -1, 0.3, 0.2, 2/23 in ascending order.
-1, 2/23, 0.2, 0.3, 19.5, 64
Sort -92, 184, -20, -2, 3, -1 in descending order.
184, 3, -1, -2, -20, -92
Sort 41/10, 2/43, -5, 2, -2, -1/5 in descending order.
41/10, 2, 2/43, -1/5, -2, -5
Put -6, -2/5, -5836, -2, 18 in descending order.
18, -2/5, -2, -6, -5836
Sort -2, 1, 0, -686.
-686, -2, 0, 1
Sort 149.3, -0.2, 0.072, 0, 149 in decreasing order.
149.3, 149, 0.072, 0, -0.2
Sort -8, -23014, -14, 10 in descending order.
10, -8, -14, -23014
Sort -1/3, -45, 51, -4, 8 in descending order.
51, 8, -1/3, -4, -45
Put 2186, -2, -1, -4, 8, -5 in decreasing order.
2186, 8, -1, -2, -4, -5
Sort 4/5, 4, 20, 1585 in increasing order.
4/5, 4, 20, 1585
Put -15, -20, 5, 3, 0, -65 in decreasing order.
5, 3, 0, -15, -20, -65
Sort 12, -1, -3, 5, 4, -6 in descending order.
12, 5, 4, -1, -3, -6
Put 57, -3, -267, -95 in descending order.
57, -3, -95, -267
Put -15, 58, -2, 16374, -5 in decreasing order.
16374, 58, -2, -5, -15
Sort -0.0194618, -2/3, 1.
-2/3, -0.0194618, 1
Sort -254, -2, 96, -3, 4, 1 in decreasing order.
96, 4, 1, -2, -3, -254
Put -92, 7, 4, -23, 5, 10 in decreasing order.
10, 7, 5, 4, -23, -92
Sort 1682, 3, 5, 81, 4.
3, 4, 5, 81, 1682
Sort 0.48, 0, -1, 0.049, -20, -2/7 in increasing order.
-20, -1, -2/7, 0, 0.049, 0.48
Put -2, 4, 9132068, 3, -1 in descending order.
9132068, 4, 3, -1, -2
Sort 3/11, -11, 30.3, 15, -3/4, 5.
-11, -3/4, 3/11, 5, 15, 30.3
Put -6, 14099, 3 in increasing order.
-6, 3, 14099
Put -8, 1, 3/8, -0.5, 3, -77.214 in descending order.
3, 1, 3/8, -0.5, -8, -77.214
Sort -0.07, -21/149, 5, 3/8 in decreasing order.
5, 3/8, -0.07, -21/149
Sort -1, 1, -3, 8, 325, 7 in descending order.
325, 8, 7, 1, -1, -3
Put 4, 1, -213, -4, 0, 2, -16 in descending order.
4, 2, 1, 0, -4, -16, -213
Put -3, 3, 4038679, 13, -4 in ascending order.
-4, -3, 3, 13, 4038679
Sort -796, 4, 5, -451 in increasing order.
-796, -451, 4, 5
Put -3, -5, 25, -6, -12, 7, 1 in ascending order.
-12, -6, -5, -3, 1, 7, 25
Sort 5, -5, -1, -33286 in descending order.
5, -1, -5, -33286
Put -2, -6, -0.3, -54, -1/5, -2/5 in ascending order.
-54, -6, -2, -2/5, -0.3, -1/5
Put 10, -3321, 172 in decreasing order.
172, 10, -3321
Put -7, -4102, 192, 9 in descending order.
192, 9, -7, -4102
Sort -5, -29, -2, -572, -51.
-572, -51, -29, -5, -2
Put 4, -2, -757, -11, 103 in increasing order.
-757, -11, -2, 4, 103
Sort 84, -44, 9, 0, -130 in ascending order.
-130, -44, 0, 9, 84
Sort 2/7, -0.5, 0.3, -37, 62, 0 in decreasing order.
62, 0.3, 2/7, 0, -0.5, -37
Sort -3, 2, 175, -4, 46, 23 in descending order.
175, 46, 23, 2, -3, -4
Sort -15, -54, 38766 in descending order.
38766, -15, -54
Sort 154.1, 2, -373/8 in descending order.
154.1, 2, -373/8
Sort -16892, -1, 71 in decreasing order.
71, -1, -16892
Put -22, 0, -5, -1, 4, 123, 9 in decreasing order.
123, 9, 4, 0, -1, -5, -22
Sort -3915, 32418, -4.
-3915, -4, 32418
Sort -34, 99331, -3 in descending order.
99331, -3, -34
Sort -3178, -2, 65, -8 in decreasing order.
65, -2, -8, -3178
Sort -4892, -43, 28, 0 in decreasing order.
28, 0, -43, -4892
Sort -14, -1, 2, 3, 4, -189, 21 in descending order.
21, 4, 3, 2, -1, -14, -189
Put -5, -13/478, -253 in descending order.
-13/478, -5, -253
Put 3, -1692096, -3 in decreasing order.
3, -3, -1692096
Put -1.11, 5, 15, 0.0511, 4/7 in descending order.
15, 5, 4/7, 0.0511, -1.11
Sort 117717, -4, 5, 3, -11 in increasing order.
-11, -4, 3, 5, 117717
Put 14, 7, -19221, 0, 3 in descending order.
14, 7, 3, 0, -19221
Put 4/275, 121, -2.2 in descending order.
121, 4/275, -2.2
Sort 5, 0, 940, -120 in descending order.
940, 5, 0, -120
Sort -4, -19, 301, 1, -5, 4 in increasing order.
-19, -5, -4, 1, 4, 301
Put 4, 2125, -2, 5, -88, -3 in decreasing order.
2125, 5, 4, -2, -3, -88
Sort -3, -5, 9, -162, 0, -4, 7490.
-162, -5, -4, -3, 0, 9, 7490
Sort -323, -9, -5, -32, -4 in decreasing order.
-4, -5, -9, -32, -323
Put 89, 22, -1, -37 in decreasing order.
89, 22, -1, -37
Sort 14, 9, -61, -3, -7, -5, 3 in increasing order.
-61, -7, -5, -3, 3, 9, 14
Sort 9, 2.48596, -3 in decreasing order.
9, 2.48596, -3
Put -5, -20750, -3, -2596 in descending order.
-3, -5, -2596, -20750
Put -25/4, -1/32439, -2 in decreasing order.
-1/32439, -2, -25/4
Sort 0.3, 1476110, -3, -11, 5 in decreasing order.
1476110, 5, 0.3, -3, -11
Sort -4, -5, -12, 2, -101, -24, -21.
-101, -24, -21, -12, -5, -4, 2
Sort 0.7703, 0.1, 22/43 in ascending order.
0.1, 22/43, 0.7703
Put -15/2, -648, -0.3 in descending order.
-0.3, -15/2, -648
Sort 2, -2, 11, 5, 198, 39 in decreasing order.
198, 39, 11, 5, 2, -2
Sort 0.04863, 1/8, 62, -1.07 in desce
|
{
"pile_set_name": "DM Mathematics"
}
|
) + sqrt(396) + -1 + sqrt(396))) + 5)) + -2)**2.
-768*sqrt(11) + 25408
Simplify -1*(-1 + -1 + (sqrt(192)*2 + sqrt(192) - (sqrt(3) + (sqrt(3) - sqrt(108)*-2)))**2).
-298
Simplify -2*((sqrt(176) - ((sqrt(176) - (sqrt(176) - (sqrt(176) + -2))) + 4 + sqrt(176) - sqrt(176) - sqrt(176)))*3)**2.
-3240 + 288*sqrt(11)
Simplify -2*(sqrt(432)*3 + -4 - (-2 + ((1*sqrt(432))**2 - sqrt(432)))).
-96*sqrt(3) + 868
Simplify (1 + 6*(sqrt(108) - 1*(sqrt(108) + 1*sqrt(108)))*-4)**2.
288*sqrt(3) + 62209
Simplify ((sqrt(120) + -1*sqrt(120))/sqrt(10)*1)/((sqrt(288)*2)/sqrt(8)) + 2.
2
Simplify -4 + -1*((sqrt(77)*-1 - sqrt(77))/sqrt(7) + -1*sqrt(11) + 4)**2.
-119 + 24*sqrt(11)
Simplify 3 + (((1*sqrt(242) + -3)**2 - sqrt(242)) + sqrt(242) - (-4 + -2*sqrt(242))) + (2 + 2*(sqrt(242) - (sqrt(242) - sqrt(242)*2) - sqrt(242)))**2.
44*sqrt(2) + 1230
Simplify (-2 + sqrt(475)*-3 + sqrt(475)*-4 + sqrt(475) + 3)**2.
-60*sqrt(19) + 17101
Simplify (sqrt(243) + (sqrt(243) - (-1 + sqrt(243))))*4 - (-5*sqrt(243)*2)**2.
-24296 + 36*sqrt(3)
Simplify (sqrt(180) + sqrt(180)*2 - sqrt(180))*-3 + (sqrt(180) + sqrt(180)*-3 + 5 - sqrt(180)).
-54*sqrt(5) + 5
Simplify (-4*sqrt(10)*-3)/sqrt(5) - sqrt(12)/(sqrt(6)*-3*2).
73*sqrt(2)/6
Simplify (-5 + (sqrt(637)*-4 - sqrt(637)) + -1 - ((sqrt(637) - (sqrt(637) - 3*sqrt(637)*-1)) + 2))**2.
224*sqrt(13) + 2612
Simplify 2*(0 + (sqrt(242)*2 + sqrt(242))*-5).
-330*sqrt(2)
Simplify -2*((sqrt(560) - (sqrt(560) + 2*sqrt(560) - sqrt(560))) + sqrt(35))/(sqrt(252) - -1*sqrt(252)).
sqrt(5)/2
Simplify 4 + (2 + (0 + sqrt(325))*6 - (-1 + (sqrt(325)*2 - sqrt(325) - sqrt(325)) + 5))**2.
-120*sqrt(13) + 11708
Simplify ((sqrt(65)*1 - sqrt(65))*-5 + 4*-1*sqrt(65))/(-6*(sqrt(245) + sqrt(245)*-1 - sqrt(245) - sqrt(245))).
-sqrt(13)/21
Simplify (5*sqrt(77)*2 - sqrt(77) - sqrt(77))/(sqrt(7) - sqrt(1225)/sqrt(7)) + -1.
-2*sqrt(11) - 1
Simplify 0 + (sqrt(252) - (sqrt(252)*2 + -4))**2.
-48*sqrt(7) + 268
Simplify (sqrt(133)*2*-5 + (sqrt(133) - (6*sqrt(133)*1 - sqrt(133))))/(sqrt(343) + (sqrt(343) - (5*-2*sqrt(343) + sqrt(343)))).
-2*sqrt(19)/11
Simplify (3*sqrt(72)*-2 - sqrt(72))/(sqrt(60)/sqrt(40) - sqrt(12)/sqrt(2)*1).
28*sqrt(3)
Simplify (3 + sqrt(180)*-1 + -1 + sqrt(180) + 5)**2.
49
Simplify 1*(-5 + sqrt(4)/(sqrt(2) + sqrt(8)/sqrt(4)) - sqrt(4)/sqrt(2)*-4*3).
-5 + 25*sqrt(2)/2
Simplify -1*(((sqrt(147) - (-3 + sqrt(147)*-2 + sqrt(147) + sqrt(147) - sqrt(147))) + sqrt(147))**2 + -1 + -5) + -3.
-1329 - 126*sqrt(3)
Simplify (3 + (sqrt(425) + 4)**2 + -5 + -5)*5.
200*sqrt(17) + 2170
Simplify sqrt(1331) + 6*(sqrt(1331) + 1*sqrt(1331) + sqrt(1331))**2 + sqrt(1331) - sqrt(88)/sqrt(18).
64*sqrt(11)/3 + 71874
Simplify (-1*sqrt(288))**2 + -2 + 1 + sqrt(2) + sqrt(32) + -2.
5*sqrt(2) + 285
Simplify 2*((sqrt(132)/(sqrt(36)/sqrt(3)) - sqrt(11))**2*2 + 4)*-3.
-24
Simplify 1*((2 + (-1*sqrt(7) - sqrt(7) - sqrt(7)) + -4 + sqrt(7) + 1)*-3*-4)**2.
576*sqrt(7) + 4176
Simplify ((-1 + sqrt(2299))*-4*-1 - (sqrt(2299) + 0 + -1 + 3))**2 + 5.
-396*sqrt(19) + 20732
Simplify 4 + ((sqrt(320) - (sqrt(320) - (sqrt(320) + -1) - sqrt(320))*3 - sqrt(320))*1)**2.
-144*sqrt(5) + 2893
Simplify (sqrt(270)/((4*sqrt(24) - sqrt(24)) + sqrt(6)) + 2)*-1.
-2 - 3*sqrt(5)/7
Simplify 4*(sqrt(720) + sqrt(720) + 1 + sqrt(720)) + 4*(sqrt(720) + -1)**2.
48*sqrt(5) + 2888
Simplify (1*sqrt(400)*2)/((sqrt(1568)*-2)/sqrt(4)).
-5*sqrt(2)/7
Simplify (-2*(5 + sqrt(153)) - (sqrt(34)/(sqrt(4)/sqrt(2) + sqrt(2) + sqrt(2) - sqrt(2)) + sqrt(17) + 3))*6.
-45*sqrt(17) - 78
Simplify 4 + 4*(sqrt(13) + (sqrt(325))**2) + (2*sqrt(832) + 4)**2.
132*sqrt(13) + 4648
Simplify ((4*(sqrt(1694) - (sqrt(1694) + 1*sqrt(1694) - sqrt(1694))))/(-3*(sqrt(2) - (sqrt(98) + sqrt(98)*-2))))**2 + 0.
0
Simplify ((sqrt(34) - (sqrt(544) + sqrt(34)))/sqrt(2))**2 + 3*sqrt(68) + (sqrt(51) + sqrt(51) + sqrt(408)/sqrt(128))/(sqrt(30)/sqrt(160)).
15*sqrt(17) + 272
Simplify (((sqrt(126) - (sqrt(126) + sqrt(126)*1 - sqrt(126)))*5)/(-1*((sqrt(7) - sqrt(14)/sqrt(98)) + sqrt(7))))**2.
0
Simplify (-3*2*sqrt(114)*2)/(sqrt(6) + sqrt(6)*-2*-5 - sqrt(48)/(-1*sqrt(8))).
-sqrt(19)
Simplify (sqrt(168)*-2*-2)/((-1*sqrt(288))/sqrt(12)).
-4*sqrt(7)
Simplify (3*(sqrt(99)*1 + sqrt(99))*-6)/(sqrt(63)/(sqrt(7) + sqrt(112)*-4 - sqrt(7))).
576*sqrt(11)
Simplify sqrt(117) - ((2*sqrt(117)*-1 - sqrt(117))**2 + sqrt(117)) - (sqrt(117) + sqrt(117)*1 + -2)**2 - (sqrt(624)/sqrt(192))/(-5*sqrt(16)).
-1525 + 961*sqrt(13)/40
Simplify (sqrt(10)*1*-2)/((sqrt(55)*1)/sqrt(11)).
-2*sqrt(2)
Simplify ((sqrt(30) - sqrt(750))*-1)/(sqrt(54)/(sqrt(9)*1)).
4*sqrt(5)
Simplify 5*((2*sqrt(27) - sqrt(27))*4 - (sqrt(21)/(sqrt(14)/sqrt(2))*-3)**2).
-135 + 60*sqrt(3)
Simplify (sqrt(19) - (sqrt(171))**2)*-2*6 + 4*sqrt(1539)*-1.
-48*sqrt(19) + 2052
Simplify (-6*(sqrt(88) - (sqrt(88) - (sqrt(88) - 5*-2*sqrt(88)))))/(sqrt(64)/(sqrt(48)/(sqrt(24)/sqrt(4)))).
-66*sqrt(11)
Simplify (3 + (sqrt(117)*2)/sqrt(9) + sqrt(143)/(sqrt(11) - sqrt(11)*4))**2.
10*sqrt(13) + 406/9
Simplify ((-1 + sqrt(325) + -1)*4 - (sqrt(325)*-1*-1 - sqrt(325) - sqrt(325))*-5)**2.
80*sqrt(13) + 389
Simplify -4*(-5 + sqrt(153)) + (sqrt(1088) - 4*(4 + sqrt(1088)))**2.
756*sqrt(17) + 10068
Simplify 2 + (sqrt(605) + (sqrt(605) - (3 + sqrt(605))) - sqrt(605))**2 + (5*sqrt(605)*-6 + sqrt(605))**2 + sqrt(605).
11*sqrt(5) + 508816
Simplify 3 + (((sqrt(192) + (sqrt(192) + -1 - sqrt(192)) + sqrt(3))**2 - sqrt(3)) + 2 - (sqrt(108) - (sqrt(108) - ((sqrt(108) + 0 - sqrt(108)) + -5)**2)))*-2.
-439 + 38*sqrt(3)
Simplify (sqrt(200) - ((sqrt(200) + -1)*3 - sqrt(200)))**2 + (-5 + -1*sqrt(200))**2 - ((1*-1*sqrt(200))**2 + sqrt(200)*1 + 2).
30*sqrt(2) + 232
Simplify (2 + (-2*sqrt(114)*-5)/(-3*sqrt(6)*6))**2.
-20*sqrt(19)/9 + 799/81
Simplify (-1*sqrt(192)*2*-4*5 + -5)**2 + -3.
-3200*sqrt(3) + 307222
Simplify (-1 + (4 + (-3 + sqrt(300) - sqrt(300)) - sqrt(300)) + 2)**2 + -3.
-40*sqrt(3) + 301
Simplify 1*(sqrt(1872) - (sqrt(1872) + (-5*sqrt(1872))**2)) + (sqrt(65)/sqrt(5) + 0 - (sqrt(208) + sqrt(13))*-3).
-46800 + 16*sqrt(13)
Simplify ((1*sqrt(17) + -3)**2 - sqrt(17)) + sqrt(68)/sqrt(4) + 2 + 4*(sqrt(425) - (sqrt(425) + 1)).
-6*sqrt(17) + 24
Simplify 4*(2*(sqrt(1100) + 1) + 1 + 1)**2 + -4.
640*sqrt(11) + 17660
Simplify 1*((0 + sqrt(704) - sqrt(704) - sqrt(704)) + sqrt(704) + 0 + sqrt(11) + 5 - (-4*(sqrt(275)*1 - sqrt(275)))**2).
sqrt(11) + 5
Simplify ((-2*sqrt(104)*3 - sqrt(104))/((sqrt(8) - (sqrt(8) + (sqrt(288) - (sqrt(288)*2 + sqrt(288))))) + sqrt(8)) + 2 + -3)**2.
14*sqrt(13)/13 + 62/13
Simplify 1*(-1*sqrt(1944) + sqrt(24) - -4*sqrt(216))/((sqrt(200)*-2 - sqrt(200))*-4).
sqrt(3)/15
Simplify (-6*(-1*sqrt(112) + -4) + (3*sqrt(112)*4 - sqrt(112))*6)**2.
13824*sqrt(7) + 581184
Simplify -2*((sqrt(968) - (sqrt(968) - sqrt(968)*2))/(1*sqrt(4)*5))**2 + -3.
-2011/25
Simplify (3 + (sqrt(243) + 3 - sqrt(243)) + 2)*-4.
-32
Simplify -4 + (5 + 2 + sqrt(13) - sqrt(13) - sqrt(26)/(sqrt(32) - sqrt(2) - sqrt(2) - sqrt(2)) - (-3 + sqrt(13) + -1)*3).
-4*sqrt(13) + 15
Simplify (1*sqrt(360) + -1*sqrt(360))/(sqrt(32)/sqrt(4)*4 - (sqrt(88)*1)/sqrt(11)).
0
Simplify 4*((sqrt(228)/sqrt(108) - sqrt(76)/(sqrt(4)*2)) + sqrt(76) + 0 + sqrt(304) + -5).
-20 + 70*sqrt(19)/3
Simplify ((sqrt(76) + 0)*-1 + sqrt(76)*2*5)**2 + -1 + (sqrt(76) - (((sqrt(76) - (sqrt(76) - 2*sqrt(76))) + sqrt(76))*-2)**2).
2*sqrt(19) + 3419
Simplify 2 + (0 + (-5*(-1 + sqrt(3)) - sqrt(24)/sqrt(200)))**2.
-52*sqrt(3) + 2703/25
Simplify -1*(sqrt(1008) + 2 + -2 + sqrt(1008) + sqrt(1008) - sqrt(1008) - (-4 + (sqrt(84)/(sqrt(48)/sqrt(4) + sqrt(12)))**2)).
-24*sqrt(7) - 9/4
Simplify 4 + (sqrt(39)/sqrt(3) + -1 + sqrt(13))**2 - sqrt(91)/(sqrt(28)/sqrt(36)).
-7*sqrt(13) + 57
Simplify -4*(-1*sqrt(684) + -4 - (2 + sqrt(684))*4)**2.
-68976 - 2880*sqrt(19)
Simplify 5 + ((sqrt(77) + (sqrt(77) - sqrt(77)*-2)*-3 - sqrt(77))/(sqrt(704) + 2*sqrt(704)))**2 + -1.
319/64
Simplify -4*(0 + -3*sqrt(891) + -5 + sqrt(891) + 3)**2.
-14272 - 288*sqrt(11)
Simplify 0 + (-5*(sqrt(320) + (sqrt(320) - (-1*sqrt(320) - sqrt(320)))) + sqrt(320))/sqrt(10) + 4.
-76*sqrt(2) + 4
Simplify (1*(sqrt(637) - -2*sqrt(637)*6) + -5*(1 + sqrt(637)) + sqrt(637) + (sqrt(637) + 0)*-6)**2.
-210*sqrt(13) + 5758
Simplify ((sqrt(117) + 3)*-2 + sqrt(117) + sqrt(117) + (sqrt(117) - (5 + -3*sqrt(117))))**2.
-264*sqrt(13) + 1993
Simplify (3 + sqrt(1700) + 0 - (sqrt(1700)*1 + 1) - -5*(sqrt(1
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 3*k(g). Let r(z) = 0. What is z?
-1, -2/3, 0
What is b in 3*b**2 - 3*b**3 + 3*b - 1 + 0 + 0 - 2 = 0?
-1, 1
Let z(b) = 4*b**4 - 20*b**3 + 32*b**2 - 13*b + 3. Let q(m) = -8*m**4 + 40*m**3 - 64*m**2 + 27*m - 5. Let f(v) = 3*q(v) + 5*z(v). Factor f(n).
-4*n*(n - 2)**2*(n - 1)
Let r(m) be the second derivative of -1/60*m**5 + 0 + 0*m**2 + 1/36*m**6 + 3*m + 1/18*m**3 - 5/72*m**4. Factor r(i).
i*(i - 1)*(i + 1)*(5*i - 2)/6
Let g(y) = 19*y - 473. Let j be g(25). Factor 1/4*t**j - 1/4 + 0*t.
(t - 1)*(t + 1)/4
Let k(q) = -3*q**2 - 9*q + 5. Let m(s) = -s**2 - s + 1. Let v(b) = k(b) - 5*m(b). Factor v(o).
2*o*(o - 2)
Suppose 0 = 2*d - 4*y - 20, -5*y - 9 = -2*y. Suppose -2*j = 2*u - 14, d*j + j - 19 = 3*u. Factor -6*c**2 - 5 - 3*c - j*c + 3.
-2*(c + 1)*(3*c + 1)
Factor -4 + 3*z + 0*z**2 - 2*z**5 + 7*z - 4*z**2 + 8*z**4 - 8*z**3.
-2*(z - 2)*(z - 1)**3*(z + 1)
Let j(u) be the second derivative of u**9/22680 - u**8/15120 - u**7/3780 + u**6/1620 + u**4/4 - 2*u. Let r(a) be the third derivative of j(a). Solve r(h) = 0.
-1, 0, 2/3, 1
Let c(j) be the first derivative of 0*j**2 - 1/24*j**4 + 1/60*j**5 + 0*j + 2/3*j**3 - 2 - 1/360*j**6. Let l(v) be the third derivative of c(v). Factor l(o).
-(o - 1)**2
Let j be 3 + -4 - (2 + 0). Let h = 0 - j. Factor -1/5*g**4 + 1/5*g + 0 + 1/5*g**2 - 1/5*g**h.
-g*(g - 1)*(g + 1)**2/5
Let x(j) be the third derivative of j**6/1800 - j**5/600 - j**3/6 + 4*j**2. Let i(m) be the first derivative of x(m). Factor i(d).
d*(d - 1)/5
Let s(o) be the second derivative of -o**3/6 + 6*o**2 + 5*o. Let x be s(9). Let -2*a**2 - 2/3*a + 0 + 2*a**4 + 2/3*a**x = 0. Calculate a.
-1, -1/3, 0, 1
Let q be 1/2*(86/(-30) - -3). Let n(f) be the second derivative of 0 + q*f**6 - f - 1/3*f**3 + 0*f**2 - 1/6*f**4 + 1/10*f**5. Factor n(u).
2*u*(u - 1)*(u + 1)**2
Factor -7*s**2 + 5*s**2 + 3*s**2 + 1 - 2*s.
(s - 1)**2
Suppose 2*v + 5 = x, 0 = v + 6*x - 3*x + 20. Let u be (v/(70/(-4)))/1. Factor u*n**4 + 0*n + 0 + 4/7*n**3 + 2/7*n**2.
2*n**2*(n + 1)**2/7
Let u(n) = -n**2 + 7*n + 15. Let m(z) = -2*z**2 + 6*z + 16. Let i(g) = -3*m(g) + 4*u(g). Factor i(v).
2*(v + 2)*(v + 3)
Let f(y) be the first derivative of -2*y**5/25 + y**4/10 + 2*y**3/15 - y**2/5 - 8. Factor f(n).
-2*n*(n - 1)**2*(n + 1)/5
Let p be 2/(-30)*-51 + -3. Determine t, given that -12/5*t**2 + 8/5*t**3 + 8/5*t - 2/5*t**4 - p = 0.
1
Let x = 745/988 + -1/247. Find b such that 3/4*b**4 + 9/2*b**2 + x + 3*b**3 + 3*b = 0.
-1
Let d(v) be the second derivative of -5*v**7/21 - v**6/15 + 8*v**5/25 - 2*v**4/15 + 3*v. Let d(h) = 0. Calculate h.
-1, 0, 2/5
Let z be ((-9)/(-2))/(-3)*-2. Suppose z*v + 0*v = 15. Factor 30*k**v + 6*k**3 + 27*k**4 + 7 - 7.
3*k**3*(2*k + 1)*(5*k + 2)
Let y(l) be the first derivative of 2/3*l**3 + 14/25*l**5 - 1/5*l**2 + 0*l + 3 - 2/15*l**6 - 9/10*l**4. Determine z, given that y(z) = 0.
0, 1/2, 1
Suppose 4*l = -4*t + 16, -7*t + 5 = -2*t. Let 3*r**2 + r**2 - 5*r - l*r = 0. What is r?
0, 2
Let i(g) be the first derivative of -2 - 4*g**3 + 0*g - 3/4*g**4 - 6*g**2. Solve i(z) = 0.
-2, 0
Let g(s) be the third derivative of -2*s**2 + 0 - 1/448*s**8 + 0*s**3 + 0*s**5 + 0*s + 0*s**6 + 0*s**4 - 1/280*s**7. What is k in g(k) = 0?
-1, 0
Let n be 2*3/(-12)*-1. Factor -u + 3/2 - n*u**2.
-(u - 1)*(u + 3)/2
Factor -1/2*t**2 - 3/2*t + 0.
-t*(t + 3)/2
Let h(l) = -28*l**5 - 24*l**4 - 4*l**3 + 8*l**2 + 8*l - 8. Let c(t) = -t**5 + t**4 + t - 1. Let f(i) = -8*c(i) + h(i). Factor f(u).
-4*u**2*(u + 1)**2*(5*u - 2)
Let 12*z**3 - 7*z**3 + 16 + 30*z - 5*z**3 - 2*z**3 + 12*z**2 = 0. What is z?
-1, 8
Let t(l) be the second derivative of -l**7/2100 - l**6/450 - l**5/300 + l**3/3 + 2*l. Let r(y) be the second derivative of t(y). Factor r(v).
-2*v*(v + 1)**2/5
Let x(i) = -7*i**2 + 2. Let o(g) = -6*g**2 + 2. Let f(b) = 5*o(b) - 4*x(b). Factor f(s).
-2*(s - 1)*(s + 1)
Factor 3/4*h - 3/4*h**2 + 3/2.
-3*(h - 2)*(h + 1)/4
Let g(k) = -k**3 - 4*k**2 + 3*k - 2. Let o be g(-5). Factor 2*s**4 - o*s**3 - 11 + s**2 + 3 + 0*s**2 + 8*s + 5*s**2.
2*(s - 2)**2*(s - 1)*(s + 1)
Let f(l) be the third derivative of -l**8/2520 + l**7/756 - l**6/1620 - l**5/540 + l**3/3 + 6*l**2. Let x(j) be the first derivative of f(j). Factor x(v).
-2*v*(v - 1)**2*(3*v + 1)/9
Let k be -22 + (0 - 2 - -5). Let m = k + 96/5. Factor m*z - 2/5*z**2 + 1/5.
-(z - 1)*(2*z + 1)/5
Let z = 111/4 - -11/4. Let n = z - 29. Factor 1/4 + n*o**2 - o**3 - o + 1/4*o**4.
(o - 1)**4/4
Factor -5/2*z**4 + 1/3*z**2 + 0*z - 1/6*z**3 + 0.
-z**2*(3*z - 1)*(5*z + 2)/6
Find i, given that -2*i**3 + 21*i - 12*i - 14*i + 7*i**3 = 0.
-1, 0, 1
Suppose 2*z = 3*r - 16, 2*z - 1 = 1. Suppose -5*d - 7 = -r*d. Factor -d + 7 + l**2.
l**2
Suppose 2*y + 2 = 5*d, -d - 11 = -2*y - 5. Let -4*r + 2*r**3 + y*r = 0. Calculate r.
0
Suppose 2*t = -0*t - 5*v + 4, -3*v = -3*t + 6. Suppose 5*f - 4*f**4 - 6*f**3 + t*f**3 - 5*f - f**5 = 0. What is f?
-2, 0
Let v(y) be the first derivative of 0*y + 0*y**2 - 2/15*y**3 + 1/2*y**4 + 2. Solve v(h) = 0.
0, 1/5
Let n = -18 - -92/5. Suppose 2/5*j**2 - n*j**4 + 0*j**3 + 0*j + 0 = 0. Calculate j.
-1, 0, 1
Factor 1/5*a**2 - 1/5*a**5 + 1/5*a**3 + 0*a - 1/5*a**4 + 0.
-a**2*(a - 1)*(a + 1)**2/5
Determine k, given that 32/5 + 16/5*k**3 + 64/5*k + 2/5*k**4 + 48/5*k**2 = 0.
-2
Let m be 5*(-1)/5 + 5. Solve -2/7*x**m + 0 - 2/7*x**3 + 2/7*x + 2/7*x**2 = 0 for x.
-1, 0, 1
Let o(n) be the second derivative of -n**8/3360 + n**7/1260 + n**4/12 - 3*n. Let b(a) be the third derivative of o(a). Let b(j) = 0. Calculate j.
0, 1
Let n be 2/4*(9 - 9). Find r such that 3/2*r**3 - 1/2*r**2 + 2*r**4 + n*r + 0 = 0.
-1, 0, 1/4
Let l(g) = -g**3 - 3*g**2 + 8*g + 5. Let t be l(-5). Let k be -2 + 2 + 3/t. Find b, given that -1/5 - 1/5*b**3 + k*b + 1/5*b**2 = 0.
-1, 1
Factor 10*a**2 + 12*a - 19*a - 5*a**3 + 2*a.
-5*a*(a - 1)**2
Suppose -2*w - 3*w - 3 = -r, 3 = -3*w + r. Solve w - 4/5*q**2 + 4/5*q**4 + 0*q**3 - 2/5*q + 2/5*q**5 = 0 for q.
-1, 0, 1
Let l(p) be the third derivative of p**6/30 - p**4/2 - 4*p**3/3 - 4*p**2. Find n such that l(n) = 0.
-1, 2
Let k be -2 + -7 + 6/3. Let n = k - -12. Let -5 + 10*c**2 - 10*c**4 + n - 4*c + 4*c**3 = 0. What is c?
-1, 0, 2/5, 1
Let z(d) = d**3 + 9*d**2 - 10*d + 2. Let c be z(-10). Let g be -1 + 0 - 1 - -2. Factor -1/2*o**3 + 0*o**4 + 0 + g*o**c + 1/4*o**5 + 1/4*o.
o*(o - 1)**2*(o + 1)**2/4
Let p(a) = -2*a**2 + 5*a + 4. Let b(o) = -o**2 + o + 1. Let f(w) = -3*b(w) + p(w). Factor f(i).
(i + 1)**2
Let h be 3 - 4*(-3)/(-12). Suppose -2*y - 7 = 3*c, -4*y + h*c = -13 - 13. Determine i, given that -1/2*i**y + 0 - 1/2*i**3 + 0*i**2 + 0*i = 0.
-1, 0
Let t(p) be the third derivative of p**8/35 + p**7/7 + 11*p**6/40 + p**5/4 + p**4/8 - 5*p**3/6 - p**2. Let f(k) be the first derivative of t(k). Factor f(h).
3*(h + 1)**2*(4*h + 1)**2
Suppose -3*s + 0*s - 17 = -m, 0 = -4*s - 20. Suppose 3 = -5*o + 13. Factor 0*b + 4 - 2*b**2 + 2*b**3 - m - o*b.
2*(b - 1)**2*(b + 1)
Let c(k) = -k**3 + k**2 + k - 1. Let b(l) = -3*l**3 + 3*l**2 + 4*l - 4. Let v(m) = b(m) - 4*c(m). Factor v(z).
z**2*(z - 1)
Let q be 51/7 + (4 - 11). Factor -4/7*y + 0 - q*y**2.
-2*y*(y + 2)/7
Let m(g) be the third derivative of -1/60*g**5 - 3*g**2 + 0*g**6 + 0*g**3 + 0*g + 0 - 1/672*g**8 + 1/210*g**7 + 1/48*g**4. Solve m(q) = 0 for q.
-1, 0, 1
Let q = 15585/7 - 2232. Let i = -57/14 - q. Factor 1/2*c**3 - 1 - 1/2*c + i*c**2 - 1/2*c**4.
-(c - 2)*(c - 1)*(c + 1)**2/2
Let r(o) = 2*o**3 + 2*o**2 - 2*o + 3. Suppose u - 4*u = 6. Let f be 4/8*(u - -12). Let y(v) = v**3 + 2*v**2 - v + 4. Let g(w) = f*y(w) - 6*r(w). Factor g(h).
-(h - 1)*(h + 1)*(7*h + 2)
Let c be ((-9)/(-6) - -1)*10/75. Factor 0*i + 0*i**2 + c*i**4 + 1/3*i**3 + 0.
i**3*(i + 1)/3
Let 2/5*u**2 - 4/5*u + 2/5 = 0. What is u?
1
Let n(b) be the first derivative of 2*b**6/39 - 2*b**5/13 + 3*b**4/26 + 2*b**3/39 - b**2/13 - 7. Factor n(a).
2*a*(a - 1)**3*(2*a + 1)/13
Let d(h) be the first derivative of -3 - 3/2*h**2 + 0*h**5 + 0*h - 1/420*h**6 + 1/28*h**4 - 2/21*h**3. Let x(t) be the second derivative of d(t). Factor x(s).
-2*(s - 1)**2*(s + 2)/7
Let r(v) be the second derivative of -2/3*v**3 - 3*v + 0 - 2*v**2 + 11/12*v**4 + 1/21*v**7 + v**5 + 11/30*v**6. Find q such that r(q) = 0.
-2, -1, 1/2
Suppose 0 = -2*n + 6*n - 2*v + 220, 2*v = n + 52. Let x be 4/6 - n/(-147). Suppose 0 + 4/7*u - x*u**2 = 0. What is u?
0, 2
Let s(g) = g**4 - g**3 + g**2 + g. Let
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{
"pile_set_name": "DM Mathematics"
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(b) -1 (c) -4 (d) -2
a
Let i(f) = 2*f**2 + 122*f + 238. Let a be i(-59). What is the nearest to 0.1 in a, 0.4, -1/3, 0.133?
0.133
Let j(u) = u**2 - 9*u + 6. Let o be j(8). Let n = -4.8 - -5. Let l = 11614/11 + -1056. What is the nearest to n in l, -1/5, o?
l
Let p = 0.1 - -0.3. Suppose 18*t + 4*g + 4 = 16*t, -4*t + 40 = -4*g. Let h be ((-4)/t)/((-25)/(-15)). Which is the nearest to -1/4? (a) p (b) 3 (c) h
c
Let h = -42.11 + 44.1. Let x = h + -1.79. Which is the closest to -1/4? (a) -2/9 (b) -1 (c) x (d) 86
a
Let f = 21.72 + -21.22. Let y = 3.2 + -3.1. What is the nearest to y in -1/4, -1, 2, f?
-1/4
Let m = -2.0797 + 0.0797. Which is the closest to m? (a) 2 (b) 37 (c) -2/7
c
Let i = 0.63962 - 0.13962. What is the nearest to 2/3 in 42, i, 0.4?
i
Let y = -4/7 + -2/21. Let d = -2059.3 - -2059. Which is the closest to y? (a) -2/7 (b) d (c) 6
b
Let f = -13454 + 13450.9955. Let v = 0.0045 + f. What is the nearest to 1 in v, 2, -2/7?
2
Let l be (-32)/(-176) - 74/44. Let k = 0.7 - -0.3. Let f = k + 3. What is the nearest to 1 in l, f, 1?
1
Let w = 25.8 - 26. Let j be (-43)/473 - 14*7/(-110). What is the closest to w in -0.1, j, 3?
-0.1
Let t = 34596/7 + -4942. Let w = -3 + 4. Which is the closest to w? (a) -2/13 (b) t (c) -0.04
b
Suppose -11*j + 12*j = -4*z + 12, -4 = -4*z - 3*j. Which is the nearest to 0.2? (a) z (b) -0.042 (c) -0.4 (d) -5
b
Let b = -383.7 - -367.7. What is the nearest to 0.2 in 2, b, 4/5?
4/5
Let h(w) = w**2 + 13*w + 9. Let f be h(-13). Let d be 2/(-2) + f/7. Let g = -763 + 759. Which is the closest to 1/3? (a) 5 (b) d (c) g
b
Let t(k) = -2*k - 405 + 512 - 14*k. Let u be t(7). What is the nearest to 2 in 0.3, u, -2/17?
0.3
Let n = 231.5 - 229.5. What is the closest to 0 in n, -10/7, 5, -3?
-10/7
Let t = -0.2682 - 0.7318. Which is the nearest to 1? (a) 0.3 (b) 2/9 (c) t (d) 8
a
Let x(m) = -235*m + 473. Let d be x(2). Which is the nearest to 1/29? (a) d (b) 0 (c) 0.1
b
Let p = -595 - -599.2. Let v = 73.7 - 78. Let t = p + v. What is the nearest to t in 0.16, -5, -4?
0.16
Let r(w) = -w - 1. Let x be r(-3). Let m be (-17 + 2)*(10/6 + -2). Suppose -c - 3*z + m = -0*z, 3*z - 6 = 0. What is the nearest to c in x, -1, 0.2?
-1
Let y = -22042 - -22044. Which is the nearest to 1? (a) 104 (b) y (c) -0.13 (d) 4
b
Let o be ((1 - 0)*1)/(-2). Let m = -632 + 410. Let i = 221.91 + m. What is the nearest to i in o, 3, 2?
o
Let o = -274/69 + 76/23. What is the nearest to 1 in 4, o, 2/11, 12/7?
12/7
Let i(x) = x**3 + 43*x**2 + 17*x + 736. Let r be i(-43). Which is the closest to -39? (a) -16 (b) -4 (c) r
a
Let h(i) = i - 7. Let v be h(7). Let m = 37.13 + -33.13. Which is the nearest to 1/2? (a) v (b) -1/9 (c) m
a
Let w be (-35)/1022*((-18)/15)/(-2). Let b = -1907/438 - w. What is the nearest to -2 in -4, b, 0.2?
-4
Suppose 0 = 6*m + 7 + 11. Let y = 13/4 + m. Let j(u) = 8*u + 124. Let l be j(-15). What is the nearest to 0 in y, l, 0.3?
y
Let n = 45/2 + -23. Let s = -1035 + 1525. Let x = s - 486. Which is the nearest to 1? (a) x (b) 0 (c) n
b
Let c = -10049.8 + 10050. Suppose 0*i = -4*i - 52. Let o = i - -9. What is the closest to -1 in c, 4, o?
c
Let b = 2/23 - -19/46. Let d be 36/(-1053)*36/(-8). What is the nearest to d in 4, b, -4?
b
Let z = 2.6 - -0.4. Let o = 38 + 154. Let h = 197 - o. Which is the nearest to 1/7? (a) h (b) -0.1 (c) z
b
Let q = 14072 - 14072.036. Which is the nearest to 0.2? (a) 3 (b) 1/8 (c) q
b
Let h = 85/88 - 19/88. Let r = 11.36 - 11. Let d = r + -0.06. Which is the closest to 0? (a) d (b) h (c) 3/5
a
Let j = -876/49 - -83612/4655. What is the nearest to j in -3, -1/2, 1, 0.06?
0.06
Let v = -110.08 + 110.48. Which is the nearest to -2? (a) -3 (b) v (c) 2 (d) -45/8
a
Let j(k) = 18*k - 19. Let l be j(1). What is the closest to l in 11, -50, -3?
-3
Let v = -2.3 - 16.5. Let i = v - -18.3. Which is the closest to 2/5? (a) i (b) 5 (c) -1
a
Let v = -4 - -1. Let c be 28/686 + 255/2499. What is the nearest to v in -1, c, 8?
-1
Let r = 2.208 + -1.208. Which is the nearest to r? (a) -3 (b) -0.3 (c) 3 (d) 0.006
d
Let n = -4 + 3. Let k = -3.9 - -4. Let w be 3*34/561*(-88)/(-56). What is the nearest to k in 2/9, n, w?
2/9
Let t = 26753 + -26730. What is the nearest to -5/4 in 2, 5, t?
2
Suppose -4*y = -2*o + 6*o + 664, y = -3*o - 506. Let x be (16/o)/(26/130). What is the closest to x in -5, -1, 4?
-1
Let u = -4813 + 4811. What is the closest to u in 0.1, -162, 0?
0
Let r = 241 - 369. Let h = r + 189. Which is the nearest to -1? (a) 1 (b) h (c) 0.3
c
Let y = 0.2 + 0.2. Let k = 3.851 - 3.751. Let u(h) = -3*h + 35. Let t be u(10). Which is the nearest to k? (a) y (b) -1/3 (c) t
a
Let x(q) = 2*q**2 + 157*q - 833. Let l be x(5). Which is the closest to l? (a) -2/9 (b) 2.1 (c) 6 (d) 1/2
b
Suppose 14*f - 161 + 119 = 0. Which is the closest to -3? (a) 21 (b) f (c) -2
c
Let m = -33 + 37. Let s(b) = -3*b**3 - 8*b**2 - 11*b - 6. Let k be s(-5). Let f = 227 - k. What is the closest to f in 1/4, m, 5?
m
Let d = 2660 - 2655. Which is the nearest to 0.1? (a) d (b) -4 (c) -303
b
Let z = -18842.9 + 18843. Let g be 3/(-2)*(-6)/63. What is the closest to z in 2/7, g, 2, -1?
g
Let i = -4/15947 - 47825/63788. What is the closest to -25.4 in i, -1/6, -1?
-1
Let a = 301306261/1617993 + -1/179777. Let n = -186 + a. Suppose 0 = -224*p + 292*p - 272. What is the closest to 1 in -4/3, p, n?
n
Let g = -190/17 + 743/68. Suppose -5*y = 5*j - 15, 0 = 3*y + j - 0*j - 5. What is the nearest to 0.2 in -6, y, g, 3/5?
3/5
Let s be 19/(-133) + 25/28. Let h = 813 + -813.4. Which is the closest to 0.2? (a) h (b) -17/4 (c) s
c
Let v be 4 - (-88)/(-32) - (-5)/10*-3. Let f = 1.56 - 0.16. Let o = -0.6 - f. What is the closest to o in 2/3, v, -0.3?
-0.3
Let h = -0.2 - 0. Let w be (-1 + (-2)/(-6))/((3230/(-153))/(-19)). What is the nearest to h in 1, 4, w?
w
Suppose 2*u = -0*r - 5*r + 205, -3*u + 342 = -4*r. Let p = u - 219/2. Which is the closest to -2? (a) p (b) 2/11 (c) -4
c
Let y = 27 + -23.68. Let r = 0.32 - y. Which is the closest to r? (a) 0.4 (b) -0.15 (c) 0.2
b
Let y = 17886 - 17885.7. What is the closest to -2/7 in -14, 1.7, y?
y
Let q = 711 + -3549/5. What is the nearest to -5 in 0.4, q, -3, 0?
-3
Let m(g) = -42*g + 2593. Let b be m(62). What is the nearest to -1 in -1, 0.08, 2, b?
-1
Let y be 16*3*-3 + -103 + 106. Let j = y - -137. Which is the nearest to 0.1? (a) j (b) 2 (c) -2 (d) -1
d
Let k be -2 + (-15)/(-9) + -1. Let x = -146.52 + 145. Let t = x + 1.58. Which is the nearest to t? (a) 5 (b) -1/5 (c) k
b
Let m = 144 - 337. Let n = 192 + m. Which is the closest to n? (a) -0.4 (b) -5 (c) 4
a
Let z = -34732/86855 - 2/17371. What is the nearest to 3.61 in 1/7, -2, z, 5?
5
Let f(a) = a**3 - 2*a**2 + a + 2. Let w be f(-1). Let z be 1/(-2)*w*1*11. Let o be (2/(-24))/(z/3 + -4). What is the closest to 2 in o, 3, 2/3?
3
Let t be -5 - 16/20*-10. Let b = 28/13 - 58/39. What is the nearest to 1 in -3/7, t, b?
b
Let u = -1.86 + 167.86. Let n = u + -165.7. Which is the nearest to -1/4? (a) 5 (b) -4/3 (c) -5 (d) n
d
Let k be 6/8 + (-191 - -191). What is the closest to -0.2 in 5, k, 225?
k
Suppose 42 = s - 8*j, -s - 4*j - 36 = -6. What is the nearest to -2 in 5, s, -1/6, 3?
-1/6
Let k = 150.349 + -0.349. Let w = 152 - k. Which is the nearest to 0? (a) w (b) 2/13 (c) 5
b
Let r = -11 - -6. Let y = -0.699 + 1.199. Which is the closest to -1/2? (a) 9 (b) y (c) r
b
Let o = 0.41206 - 0.61206. Let p be 0 + (3/2 - 1). Which is the closest to 10? (a) p (b) o (c) 10
c
Let t be (16/10)/(-2 + (-33)/(-15)). Let u be -2*(4 - 36/t)/4. Let j = -12.74 - -13. What is the nearest to u in -5, j, 5/3?
j
Let v = -583/228 - -160/57. What is the closest to v in 4, 1/5, -1, -0.7?
1/5
Let u(z) = 15*z - 98. Let f be u(11). Which is the closest to -5? (a) 1 (b) -1 (c) f
b
Let b = 2.63 - 2.13. Let s be -5 + 1 - (-1 + (-58)/18). What is the closest to s in -5, b, -1?
b
Let d = 30.3806 - 0.3806. Which is the closest to 1? (a) d (b) -5 (c) 1
c
Let z = -0.6662 + 0.5662. Which is the closest to -5? (a) 0 (b) 5 (c) z (d) 2.4
c
Let t = 1 - 1.1. Let d = 21597.97 - 21598. What is the closest to t in 1, d, 0?
d
Let m = -24 - -21.9. Let p = m - -2. Let v = -0.781 - 0.219. What is the closest to p i
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{
"pile_set_name": "DM Mathematics"
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7
Let b(k) be the first derivative of k**4/8 - 4*k**3 - 11*k**2/2 + 4. Let n(o) be the second derivative of b(o). List the prime factors of n(13).
3, 5
Let n(p) = -12*p**2 + 26*p + 3. Let z be n(-8). Let u = -342 - z. List the prime factors of u.
631
Suppose 6*m + 1736 = -5308. Let h = m + 1944. List the prime factors of h.
2, 5, 7, 11
Let z(h) = h**2 - 7*h - 60. Let g be z(12). Suppose -3*n + g*n = -q + 428, 2*n + 432 = q. List the prime factors of q.
2, 5, 11
Let v = 34 + -29. Suppose -3*d = v*m - 1167, -5*d = -m - d + 215. What are the prime factors of m?
3, 7, 11
Let i = -4 + 11. Let b(x) = 4*x - 4. Let n be b(i). Let u = -7 + n. List the prime factors of u.
17
Suppose 0 = -9*q - q + 319721 + 45809. What are the prime factors of q?
11, 3323
Let o(w) = -6217*w - 3035. What are the prime factors of o(-11)?
2, 3, 7, 389
Let s be (0 - 6/4)/(9/(-18)). Suppose 0 = s*b - 12. Suppose 6*y - y + 5*u = 755, b*y = u + 579. What are the prime factors of y?
2, 73
Let k = -7 - -14. Let w(l) = 42*l - 28. Let i be w(k). What are the prime factors of (i/(-4))/(-7)*(0 - -2)?
19
Suppose -11*s + 7*s + 1424 = 0. Suppose 1928 = 5*d + 4*w, 5*d - w = 1562 + s. List the prime factors of d.
2, 3
Suppose 52349 = 2*v - h, -238*v + h = -234*v - 104697. What are the prime factors of v?
2, 23, 569
Let a(y) = 356*y - 24. Let i be a(14). Let k = i + -3365. List the prime factors of k.
5, 11, 29
Suppose 47 - 102 = -5*c. Suppose c*z = 327 + 69. List the prime factors of z.
2, 3
Let p = 10 + -14. What are the prime factors of (-18)/(1 + p) - -116?
2, 61
Suppose 2*f + 2908 = -3*m, f - 5*m + 680 = -761. Let s = f - -2646. What are the prime factors of s?
5, 239
Let r(u) = 17*u**2 + 23*u + 229. What are the prime factors of r(-8)?
11, 103
Let o(g) = 11*g - 73. Let d be o(8). Suppose 0 = 81*r - 83*r + 794. Suppose -d*x + 1778 = -r. List the prime factors of x.
5, 29
Let l(i) = -i**3 - 8*i**2 - 13*i - 1. Let x be l(-3). Let b(d) = -d**2 - 14*d - 23. Let g be b(x). Suppose -g*u + 1197 = -19*u. List the prime factors of u.
3, 19
Suppose -5*l = 5*t - 89300, -5305 = -l + 4*t + 12585. What are the prime factors of l?
2, 8933
Let u(q) = -2*q**2 - 13*q + 9. Let w be u(-7). Suppose 2*t - 3*t - 1724 = -4*h, 0 = 5*h + w*t - 2142. List the prime factors of h.
2, 5, 43
Let a(m) = 67*m**2 - 81*m + 9. Let h be a(7). Suppose -5651 = -12*v + h. What are the prime factors of v?
2, 349
Let r = -352 + 560. Suppose -2*k = 4*q + r, q + 2*k = -0*k - 55. List the prime factors of (q/34)/((-125)/122 - -1).
61
List the prime factors of (-129)/(-344) + (-118585)/(-40).
5, 593
Let j = 26990 - 1461. What are the prime factors of j?
7, 521
Let b(x) = 3*x**2 + 3*x + 7. Let y be b(-2). Suppose -y*m + 7663 - 1488 = 0. What are the prime factors of m?
5, 19
Let k(f) = 24*f**2 - 3*f + 64. Let w be k(7). Suppose w*g - 6080 = 1214*g. What are the prime factors of g?
2, 19
Suppose 0 = 4*y - 0*y + 3*u - 7811, 0 = u - 1. Suppose -31*n = -39*n + y. What are the prime factors of n?
2, 61
Suppose -3*i + 12 + 0 = 0. Suppose 2 = g - 4. Suppose -2*l - 20 = -g*l, -3*d - i*l = -110. List the prime factors of d.
2, 3, 5
Let x(p) = 3*p**2 + 6*p + 2. Let r be x(-2). Suppose -r*f - 3*q + 33 = 3*f, 3*f - 19 = -q. Suppose 0 = -f*s + 5*s + 11. What are the prime factors of s?
11
Let k be -1 + 13 - 385/55. Suppose -2*r = -2 - 8. Suppose 0*y = b + 2*y - 12, -k*b = -r*y. What are the prime factors of b?
2
Let o(l) = l**3 - 9*l**2 - 40*l - 15. Let x be o(13). Let c = 512 - x. What are the prime factors of c?
7, 53
Suppose -59*q + 52935 + 851183 + 635959 = 0. What are the prime factors of q?
3, 7, 11, 113
Let h = -11868 - -17274. List the prime factors of h.
2, 3, 17, 53
List the prime factors of (4315/(-7))/((-240)/1680).
5, 863
Let u(c) = c**2 + c + 4. Let b be u(0). What are the prime factors of -790*b*2/20*-2?
2, 79
Let d(b) = 469*b**2 + 26*b - 47. List the prime factors of d(5).
2, 3, 41
Suppose -3*n = -6*a + 1845, -270*a + 3*n = -266*a - 1225. Let p(v) = -v + 8. Let o be p(0). Suppose 2*j - a = -o*j. What are the prime factors of j?
31
Suppose 0 = 132*i - 64*i - 125528. What are the prime factors of i?
2, 13, 71
Let o be (-4224)/56 + 3 - 4/7. Let n = o - -192. List the prime factors of n.
7, 17
Suppose 47*q - 50412 - 65725 = 0. List the prime factors of q.
7, 353
Suppose 2*u = -5*b + 74, 4*u + 9 - 45 = -3*b. Let s be 3 + (b/(-10))/((-4)/(-10)). List the prime factors of (s/(-2))/(24/336).
7
Suppose 2*k + 8 = -2*k, 2*l + k + 4 = 0. Let z(o) = -99*o**2 - 1. Let w be z(l). Let a = 280 + w. What are the prime factors of a?
2, 3, 5
Let w = -290 + 312. Suppose 2286 = w*o - 16*o. What are the prime factors of o?
3, 127
Let f(g) = 63*g - 137. Let i be f(5). Let m = 183 - i. What are the prime factors of m?
5
Suppose -4*c = 4*k - 68968, 76*c - 71*c - 68971 = -4*k. List the prime factors of k.
17239
Let r(k) = -678*k - 286. What are the prime factors of r(-5)?
2, 97
Let f = 25360 + -13645. List the prime factors of f.
3, 5, 11, 71
Let s(d) = d**3 + 2*d**2 + d + 4. Let k be s(-2). Suppose k*i + w + 249 = 0, -4*w + 6*w = -i - 120. Let u = i - -193. List the prime factors of u.
67
Suppose -g - 3*g - 25 = -5*l, -3*l + 2*g = -13. Let b(h) = 2*h + 1. Let f be b(l). Suppose r - f*x - 59 = 0, 0*r + 2*x = 5*r - 360. List the prime factors of r.
2, 37
Suppose -4*c + 21016 = 2*t, 5*c + 9061 = t - 1426. What are the prime factors of t?
2, 59, 89
Let v(r) = 24*r**3 - 16*r**2 + 32*r + 3. List the prime factors of v(6).
3, 1601
Let u = -3551 - -3981. Let r(c) = c**2 + 6*c - 3. Let w be r(-6). What are the prime factors of u*w/(15/(-2))?
2, 43
Suppose 3*n - 40905 = 4*z + 6720, -4*n + z + 63513 = 0. List the prime factors of n.
3, 67, 79
List the prime factors of 3688932/340 + (-6)/15 + 3/5.
2, 5, 7, 31
Suppose 5*g = 2*h - 8, 0*g + 4*g + 5 = 3*h. Let o = h - -27. Suppose d = -c + o, -2*c = -0*c - d - 40. What are the prime factors of c?
2, 11
What are the prime factors of 43160/(-104)*64/(-5)?
2, 83
Let f(v) = 5*v - 22. Let s be f(5). Suppose 0 = p + m - 328, -p - p + 658 = s*m. What are the prime factors of p?
2, 163
Let x(i) = 14*i**2 + 78*i + 410. What are the prime factors of x(-31)?
2, 59, 97
Suppose 6*g - 90 = -4*t + 4*g, -3*t + 35 = -5*g. List the prime factors of (2092/t)/((-23)/(-115)).
523
Suppose 41 = 2*q - 7. Let m = q + -24. Let n(f) = f**2 + f + 29. List the prime factors of n(m).
29
Suppose -4*k + 152180 = 2*j, 0*j = -4*k - 3*j + 152178. What are the prime factors of k?
2, 3, 17, 373
Let k = 3436 - -1903. List the prime factors of k.
19, 281
Let p = 36 - 0. Let d = p - 42. What are the prime factors of 3/9*(-216)/d?
2, 3
Let s(j) = -6*j + 6. Let z be s(-8). Suppose x + z = -x. What are the prime factors of (-331)/(-9) - 6/x?
37
Let p(h) = -4*h - 12. Let d be p(-3). Suppose -u + 583 = x, -x + 2*u = -d*x - 574. Suppose -145 + x = 5*g. List the prime factors of g.
3, 29
Suppose 11*d + 1050 = 3*l + 8*d, 5*d - 1750 = -5*l. Let c be 15/((6/33)/2). Let r = l - c. List the prime factors of r.
5, 37
Let q = 572 - 214. Let l = 746 - q. List the prime factors of l.
2, 97
Suppose 18746*r = 18743*r + 103230. List the prime factors of r.
2, 3, 5, 31, 37
Let s be (-1275)/(-21) - 2/(-7). Let b(v) = -v**3 - 4*v**2 + 77*v + 4. Let o be b(-11). Suppose -2*p - o*y + s = p, -2*y = -p + 7. List the prime factors of p.
3, 5
Let k(m) = 11*m**2 - 20*m. Let f = -10 + 15. What are the prime factors of k(f)?
5, 7
Suppose z = 18 - 4. Suppose 10 = 4*p - z. Suppose 2*r - p = 0, r + 202 = -3*n + 604. What are the prime factors of n?
7, 19
Let t = 1588 + -844. Let o = t - 288. List the prime factors of 9/(-6)*o/(-6).
2, 3, 19
Let d(y) = 17*y**2 + 10*y - 12. Let u(k) = -3*k - 68. Let q be u(-25). What are the prime factors of d(q)?
3, 11
Suppose 3 = -l - 1, -3*v - 5*l - 56 = 0. What are the prime factors of 2/(103/546 + 2/v)?
7, 13
Suppose 5*r - 893 = -2*k, -4*k + 2282 = k - 4*r. Suppose g = v - k, 11*g = -5*v + 7*g + 2279. What are the prime factors of v?
5, 7, 13
Let z(j) = -672*j - 372. List the prime factors of z(-12).
2, 3, 641
Let v(x) = -29*x**3 + 3*x**2 - 7*x - 4. Let n(r) = -31*r**3 + 4*r**2 - 9*r - 5. Let i(j) = -6*n(j) + 7*v(j). What are the prime factors of i(-3)?
419
Suppose -2*o - 2*m - m + 11 = 0, o + 2*m = 8. Let f = -1703 + 1700. List the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
r) = -8*r + 6. Suppose -y = 3*q - 12, 0 = -5*q - 2*y - 0*y + 20. Determine q*x(j) - 3*p(j).
-5*j + 3
Let v(m) = -5*m**2 - 11*m + 6. Let j(u) = 6*u**2 + 12*u - 6. Let w(y) = 6*j(y) + 7*v(y). Let i(z) = -z**2 + 6*z - 7. Determine -5*i(p) - 6*w(p).
-p**2 - 1
Let x(v) be the third derivative of -13*v**6/60 - v**4/6 - 2*v**3/3 + 82*v**2. Let q(c) = 27*c**3 + 5*c + 5. Determine -4*q(g) - 5*x(g).
22*g**3
Let v = 2976 + -3138. Let i(u) = -u + 1. Let m(r) = 9*r**2 + 81*r - 81. Determine v*i(h) - 2*m(h).
-18*h**2
Let d(k) = -2024 + 3910 - 1886 + k. Let v(h) = 2*h - 35. What is -4*d(z) + v(z)?
-2*z - 35
Let u(f) = 2*f**2 - 363*f + 16346. Let q be u(83). Let t be -5*(12/10)/(-3). Let b(n) = -6*n**2 + 2*n. Let y(i) = -12*i**2 + 5*i. What is q*b(m) + t*y(m)?
6*m**2
Let o be 0 - (5*52/40 - 6)*6. Let b(c) = -c + 7. Let f(h) = -h - 1. Calculate o*f(x) + b(x).
2*x + 10
Let t(d) = -2. Let c(w) = w - 3. Suppose -11*b + 18 = -29*b. Let r(k) = b*c(k) + 2*t(k). Let a(x) = -4*x - 6. Calculate a(j) - 5*r(j).
j - 1
Let l(y) = -6*y**2 - 5*y - 3. Let z(p) = -5*p**2 - 16*p + 1. Let s(v) = -10*v**2 - 34*v + 3. Let h(r) = 5*s(r) - 11*z(r). Determine -4*h(a) - 5*l(a).
10*a**2 + a - 1
Let a = -2 - -2. Suppose a = k + 3*k + 20. Suppose -18*c + 17*c = 6. Let o(g) = 2*g - 3. Let z(i) = -2*i + 4. Give c*o(x) + k*z(x).
-2*x - 2
Let p(c) = 10*c + c + 11 + 3 + 3*c. Suppose 4*n + 2*f - 35 = f, -5*n - 3*f + 49 = 0. Let d(r) = 1 + 7 - 1 + 5*r - 2. Give n*d(l) - 3*p(l).
-2*l - 2
Let l(q) = -2*q**3 - q**2. Let m(w) = 7*w**3 + 4*w**2 + 9187. Give 4*l(s) + m(s).
-s**3 + 9187
Let h(y) = 2712*y + 816. Let c(v) = 3*v + 17. Determine -144*c(j) + 3*h(j).
7704*j
Let x(t) = 8*t + 1. Let i be (4/(-2) + -12)*40/(-80). Let q(z) = 15*z + 2. Give i*x(a) - 4*q(a).
-4*a - 1
Let h(q) = 3*q**3 + 2*q**2. Let o(i) = 2*i**2 + 190*i + 732. Let u be o(-91). Let g(v) = 10*v**3 + 7*v**2. Give u*g(b) - 14*h(b).
-2*b**3
Suppose -8*b = -3*b. Suppose 0*j + j = 5*c + 1, j + 2*c - 8 = b. Let q(v) = 5*v. Let z(i) = 56*i. Let f be 686/(-10) + (-66)/(-110). Calculate f*q(u) + j*z(u).
-4*u
Let r(f) = 4*f + 2. Let p(z) = 102*z - 12. Determine p(a) - 20*r(a).
22*a - 52
Suppose 1 = w + z - 0, 2 = -w - 4*z. Let q(f) = -f + 12*f**2 - 3 + 16*f**2 + 4 - 29*f**w. Let u(g) = 10*g**3 + g**2 + g - 1. Give -q(k) - u(k).
-10*k**3
Let h(i) = -i**2 - 12*i + 139. Let r(o) = o**2 + 3*o - 1. Give h(t) + 3*r(t).
2*t**2 - 3*t + 136
Let z(i) = 2712*i**2 + 21*i - 12. Let t(c) = 679*c**2 + 5*c - 3. What is 21*t(m) - 5*z(m)?
699*m**2 - 3
Let u(b) = -27*b - 227. Let s(y) = -12*y - 114. Calculate -7*s(l) + 3*u(l).
3*l + 117
Let x(m) = -m**3. Let o(t) be the first derivative of -51*t**4/4 + 1559. Determine -o(u) + 68*x(u).
-17*u**3
Let o(v) = 2475*v - 4979*v + 2480*v. Let y(f) = 73*f. Give -17*o(k) - 6*y(k).
-30*k
Let k(u) be the first derivative of 4*u**3/3 - 3*u**2 - 4*u - 129. Let b be k(-1). Let v(d) = -4*d + 3. Let m(t) = -5*t + 3. Calculate b*v(x) - 5*m(x).
x + 3
Let m(v) = 14*v**3 - 83*v**2 + 4*v - 3. Let j(t) = -t**3 + 1. Determine -3*j(q) - m(q).
-11*q**3 + 83*q**2 - 4*q
Let x(s) = -10556*s + 4 + 8 + 10569*s - 11. Let i(f) = 14*f + 1. Calculate 6*i(o) - 5*x(o).
19*o + 1
Let z be (5 + -9)/(-28) - ((-414)/42 + 5). Let q(w) = -4*w**2 - 6*w - 11. Let f(a) = -3*a**2 - 5*a - 10. What is z*f(b) - 4*q(b)?
b**2 - b - 6
Let q(s) = 23*s - 9*s - 4 - 14*s + 2*s**2. Let b(z) = 4*z**2 + 22*z + 7*z - 32*z + 4*z - 8 - 1. What is 2*b(c) - 5*q(c)?
-2*c**2 + 2*c + 2
Let y(o) = -4*o**3 - 1. Let f(b) be the third derivative of 0*b**5 + 1/24*b**6 + 0*b**4 + 1/6*b**3 + 6*b**2 + 4*b + 0. Determine -3*f(c) - 4*y(c).
c**3 + 1
Let h(m) = -m**2. Let v(g) = -24*g**2. Let y be 4/8*(-3)/6 - 1805/(-20). Give y*h(i) - 3*v(i).
-18*i**2
Let r(u) = -12*u**2 - 134*u + 85. Let t(j) = -13*j**2 - 133*j + 68. Determine -4*r(v) + 5*t(v).
-17*v**2 - 129*v
Let o(j) = 2*j**3 - 5*j - 5. Let f(r) = 3*r**3 - 6*r - 6. Let z = 5770 + -5776. Calculate z*o(p) + 5*f(p).
3*p**3
Let u(b) = -75*b**2 - 91 - 208*b**3 - 40*b**2 + 24*b**2. Let q(r) = 9*r**3 + 4*r**2 + 4. What is -91*q(x) - 4*u(x)?
13*x**3
Let o(f) = -f. Let u(j) = 10*j. Let l(q) = -44*o(q) - 4*u(q). Let y(n) = n. Let p be (-763)/218*(-12)/(-21). Give p*y(m) - l(m).
-6*m
Let m(t) = 17*t + 20. Let l(o) = -4*o - 5. Let i be 1098/1830 + 26/(-10). Give i*m(y) - 9*l(y).
2*y + 5
Let z(d) = 22*d**2 - 58*d + 130. Let r(p) = 37*p**2 - 96*p + 213. Let j(n) = 8*r(n) - 13*z(n). Let t(i) = 2*i**2 - 3*i + 3. Determine 3*j(y) - 14*t(y).
2*y**2
Let y(w) = -666*w - 18. Let t(b) = -334*b - 7. Give 5*t(m) - 2*y(m).
-338*m + 1
Let s(p) = 2*p**2 + 2*p - 4. Let a(c) = -c**2 + 1. Suppose -1 = 11*w - 133. Suppose 9*o = -w*o - 84. Calculate o*a(d) - s(d).
2*d**2 - 2*d
Let i(z) = -29*z + 42. Let x(w) = 13*w - 23. Let f(k) = -3*i(k) - 7*x(k). Let r(c) = c. Calculate -f(q) - 6*r(q).
-2*q - 35
Let w(z) = 21*z - 17. Let g(x) = -70*x + 17. Let v(t) = -9*t + 2. Let j(d) = -2*g(d) + 15*v(d). What is 18*j(s) - 4*w(s)?
6*s - 4
Let d(j) = j**2 - 4*j - 13. Let b = 6995/2 + -3497. Let n(x) be the second derivative of -1/12*x**4 + 9/2*x**2 + b*x**3 + 8*x + 0. Determine 5*d(w) + 7*n(w).
-2*w**2 + w - 2
Let w(q) = -2590*q - 36630. Let m(z) = -z - 22. What is 6660*m(x) - 4*w(x)?
3700*x
Let i(w) = -65*w**2 - 3068*w + 17. Let k(t) = -23*t**2 - 1021*t + 6. Give -6*i(y) + 17*k(y).
-y**2 + 1051*y
Let j(u) = -5*u**2 - 6*u + 1. Let v(t) = -56*t**2 - 49*t**2 + 2 + 148*t**2 - 52*t**2 - 11*t. Let c(f) = -5*j(f) + 3*v(f). Let m(q) = -q - 1. Give c(g) - 2*m(g).
-2*g**2 - g + 3
Let w(v) = -v**2 - 4*v. Let z(c) = -317*c**2 - 20*c. What is 6*w(i) - z(i)?
311*i**2 - 4*i
Let f(q) = -4*q**3 - 4*q**2 + 4*q - 5. Let j(d) = 9*d**3 + 9*d**2 - 9*d + 9. Give -7*f(s) - 3*j(s).
s**3 + s**2 - s + 8
Let r(a) = -2*a**2 + 190*a + 5. Let u(c) = -3*c**2 + 192*c + 6. Determine 4*r(k) - 3*u(k).
k**2 + 184*k + 2
Let x(f) = 2*f - 14. Let l(q) = -q + 5. Let z(y) = -238*y + 221. Let r be z(1). Give r*l(t) - 6*x(t).
5*t - 1
Let t(n) = -6*n**3 - 5*n**2 + 3*n - 5. Let w = -1758 - -1763. Let l(c) = 18*c**3 + 14*c**2 - 8*c + 14. Calculate w*l(g) + 14*t(g).
6*g**3 + 2*g
Let x = -113512 + 113511. Let k(u) = 45*u. Let n(b) = 9*b. Let g(w) = 2*k(w) - 11*n(w). Let p(i) = -i. Calculate x*p(f) + g(f).
-8*f
Let x(i) = 7*i**2 + 6*i - 1910. Let s(j) = -8*j**2 - 7*j + 2089. Calculate 6*s(n) + 7*x(n).
n**2 - 836
Let q(l) = 2*l**3 - 2*l**2 - 1. Let c(j) = -10*j**3 - 2*j**2 - 3*j + 4. Give -c(g) - 6*q(g).
-2*g**3 + 14*g**2 + 3*g + 2
Let i(u) = -3696*u**3 + 308*u**2 - 308*u + 1232. Let w(t) = -t**3 + t**2 - t + 4. Calculate i(k) - 308*w(k).
-3388*k**3
Let d(q) = 2*q - 1. Let r(i) = -3*i + 1. Suppose -j - 38 - 21 = 4*u, -4*u + 3*j = 63. Let x be (-2)/15 - 77/u. Determine x*r(f) + 6*d(f).
-3*f - 1
Let n(d) = 13*d**2 - 2*d - 5. Let h(s) = -8*s**2 + s + 3. Let z(b) = -5*h(b) - 3*n(b). Let r(c) = -2*c**2 - 4*c + 5. Give r(i) + 4*z(i).
2*i**2 + 5
Let r(d) = 29*d - 7. Let f = -3336 + 3322. Let j(c) = -14*c + 3. Calculate f*j(w) - 6*r(w).
22*w
Let v(u) = -7*u. Let d(g) = 39*g**3 + 9*g**2 - 63*g - 9. Let m(o) = -d(o) + 9*v(o). Let s(y) = -20*y**3 - 5*y**2 + 5. Calculate -5*m(h) + 9*s(h).
15*h**3
Let a(g) = -96*g**2 + 3*g - 40. Let r(u) = 50*u**2 - u + 22. Determine 6*a(t) + 11*r(t).
-26*t**2 + 7*t + 2
Let v(h) = -4*h + 9. Suppose 0*g - 4*l - 42 = -2*g, 0 = 3*l + 15. Let j(b) = 7*b - 17. Let r = -22 + 22. Suppose 2*y = 12 - r. Give g*v(z) + y*j(z).
-2*z - 3
Let y(p) = -p. Let i(f) = 12. Let m(z) = -2*z - 60. Let d(r) = -10*i(r) - 2*m(r). What is -2*d(c) - 9*y(c)?
c
Let q(v) = -30*v**2 + 8*v - 8. Let h(a) = 10*a**2 - 3*a + 3. Let m(j) = -3*j**2 - 207*j + 3. Let p be m(-69). Calculate p*q(b) + 8*h(b).
-10*b**2
Let q(p) = 15*p**3 - 11*p**2 + 11*p + 109. Let i(u) = 57*u - 564. Let l be i(10). Let y(m) = 8*m**3 - 6*m**2 + 6*m + 55. Determine l*q(w) - 11*y(w).
2*w**3 + 49
Let k(a) = -7*a**3 + 589*a**2 - 8*a + 8. Let s(j) = -18*j**3 + 1767*j**2 - 22*j + 22. Determine -11*k(g) + 4*s(g).
5*g**3 + 589*g**2
Let o(w) = -w**2 - 3*w - 7. Let p = 34 - 24. Let h(c) = -3*c**2 + 2*c - p + 0*c + 4*c**2 + 14. Let f = -197 + 202. Give f*h(d) + 3*o(d).
2*d**2 + d - 1
Let a(p) = -55*p + 6. Let y(g) = -g + 3 - 65*g - 15*g + 2 + 26*g. Determine 4*a(v) - 5*y(v).
55*v - 1
Let z(y) = 4*y**2 + 197*y - 6. Let p(o) = 17*o**2 + 788*o - 25. Give -6*p(s) + 26*z(s).
2*s*
|
{
"pile_set_name": "DM Mathematics"
}
|
5*l. Suppose y + y - 225 = -b, 0 = 4*y + u*b - r. Is y prime?
False
Is (-3 + 7)*(-1942)/(-8) a composite number?
False
Let l(s) = 252*s**3 - 3*s**2 + 2*s - 4. Is l(3) a composite number?
False
Is (-6)/(-24) - ((-6670)/8 - 1) composite?
True
Suppose -21*b = -16*b - 58385. Is b prime?
True
Let z = 714 - -67. Is z composite?
True
Let y = -271 - -578. Is y prime?
True
Suppose 0 = 2*c - 3 - 1. Suppose -3 = -4*g - c*x + 3, -2*x = 2. Suppose 5*z = -g*i + 68, 0 = 4*i + 2 + 2. Is z a prime number?
False
Let k be ((-1)/3)/((-2)/(-12)). Let o be 2451/15 - (-2)/(-5). Let m = k + o. Is m composite?
True
Let k(y) be the first derivative of -y**7/840 + y**6/30 - 3*y**5/40 - 3*y**4/8 - y**3 + 3. Let o(l) be the third derivative of k(l). Is o(11) prime?
True
Let v(h) = 42*h**2 + 2*h - 17. Is v(5) a composite number?
True
Suppose 3*f - 5*r = -0*r + 5847, -5*f - r = -9745. Is f prime?
True
Let r(l) = -l**2 + 6*l + 5. Let t be r(6). Suppose -s - 380 = -t*x, 3*s + 144 = 2*x + s. Is x composite?
True
Suppose -4*x = -5*d - 2751, 4*x - d - 2667 - 88 = 0. Is x a composite number?
True
Let j(u) = u**2 + 2*u + 2. Let v be j(-3). Suppose 2*l + v*h = 276 - 18, 3*l = 2*h + 349. Is l a prime number?
False
Let n be (-306)/15*20/(-4). Suppose -4*v + n = -646. Is v a composite number?
True
Let o be 2/(1 - (-2)/(-4)). Suppose -3*w + 9 = u, o*w - 23 = -5*u - 0*w. Let x(t) = 2*t**3 + t**2 - 2*t - 4. Is x(u) composite?
False
Let f(m) = -m**3 + 10*m**2 - 2*m + 20. Is f(9) composite?
False
Let c(r) = 6*r + 2. Let j(y) = -2*y - 1. Let m(w) = -3*c(w) - 8*j(w). Is m(-2) prime?
False
Suppose -2*p = -4*t - 522, -p - 3*t + 253 = -t. Is p prime?
True
Let w(o) = -o. Let b(y) = -28*y - 2. Let s(f) = -b(f) + 4*w(f). Is s(3) prime?
False
Let s be (-714)/(-24) + (-2)/(-8). Suppose -113 = -t + s. Is t prime?
False
Let k(r) = 3*r - 1. Let d be k(3). Suppose 0 = -2*b + s + 65, b + b - 4*s = 50. Let y = d + b. Is y a prime number?
True
Let j = 23 + -20. Let k be (-2)/4 + (-14)/(-4). Let q = k + j. Is q a prime number?
False
Let y be 6/(-21) + (-44)/(-7). Suppose 3*c - 2*w - y = w, 5*c - 34 = -3*w. Let s(a) = 2*a**2 - 3*a - 4. Is s(c) prime?
True
Is (-3 - -252)*2 + -1 a prime number?
False
Let c be 57/(-9) + (-2)/(-6). Let k = c + 6. Suppose -4*b = 2*g - 512, 3*b + k*g - 391 = -5*g. Is b composite?
False
Suppose -3*s + 13 + 5 = 0. Is (-1 - (-9)/s)*442 a composite number?
True
Let y(b) be the third derivative of 8*b**4 - b**3/3 + 8*b**2. Is y(2) a composite number?
True
Let c = -2 + 20. Suppose 6 = -3*h + c. Suppose h + 26 = 5*i. Is i composite?
True
Let z(t) = 19*t**2 - 7*t - 33. Is z(-4) a composite number?
True
Let j = 422 + -211. Is j a prime number?
True
Suppose 0 = -0*x - 5*x + 10. Suppose 146 = x*v - 276. Is v a prime number?
True
Let x be 2/(-5) + (-33)/5. Let l(n) be the third derivative of n**5/10 + 5*n**4/24 - 4*n**3/3 + 11*n**2. Is l(x) prime?
True
Let v be 12/((-18)/(-4) + -3). Suppose 6 = 2*z - v. Is z a prime number?
True
Let l(i) = 34*i - 1. Is l(1) a prime number?
False
Let b(v) = 37*v + 1. Let k be b(1). Suppose 3*n + k = 4*a - 177, -103 = -2*a - 3*n. Is a composite?
False
Suppose 3*g - 15 = 8*g. Let u(r) = 14*r**2 - 2*r + 1. Is u(g) a composite number?
True
Let v(m) = -m**3 - 5*m**2 - 5*m - 5. Let t be v(-4). Is t/(-1*2/422) prime?
True
Let l be 6/2 + 0 + 100. Let q = l + -50. Is q a composite number?
False
Let y = -30 - -51. Let g be 5*(122/(-10) + -1). Let q = y - g. Is q composite?
True
Let s be (-363)/(-4) - (-3)/12. Suppose -s = -x + 337. Suppose x = 4*q - 16. Is q a composite number?
True
Let a = 2815 - 1144. Is a composite?
True
Suppose -3 = -4*q - 11, 4*q - 579 = -m. Is m a prime number?
True
Is -1*(3 - (-490)/(-1)) composite?
False
Let x be (10 - (-3 - -4)) + 1. Suppose -4*c + x = -18. Is c composite?
False
Suppose -5*j + 12 = -0*p - p, -4*j = 4*p - 24. Is (-6)/3 + 124 - p a prime number?
False
Let y(a) = 371*a**2 + 3*a - 1. Is y(1) a composite number?
False
Let u(s) = -s**3 + 9*s**2 + 4*s + 1. Let g(k) = -k**2 - 7*k + 8. Let j be g(-7). Is u(j) a prime number?
True
Suppose 2*p = 4*p - 4. Is 1/(p/(-62)*-1) a prime number?
True
Suppose 3*p = 5*q - 151 + 870, 4*q = -4*p + 916. Is p composite?
False
Let l(t) = 3*t. Let b be l(-10). Let f = b + 53. Is f a composite number?
False
Suppose 3*s - 9 = -2*w + w, -2*w + 4*s - 2 = 0. Is (2 - 3) + 384/w a composite number?
False
Suppose -4*p + 12 = -p, 5*w - 3*p - 1643 = 0. Is w a prime number?
True
Is 2884/6 - (-4)/12 a composite number?
True
Is (-2)/(-4)*(2 + 656) prime?
False
Let v(a) = a**2 + 1. Let o be v(1). Is 39 + -3 + o + -1 a prime number?
True
Let a(q) = 3*q + 3. Let m be a(-5). Let p be (45/(-4))/((-3)/m). Let u = 154 + p. Is u prime?
True
Let p = -129 - 25. Is (p/3)/((-2)/3) composite?
True
Let w be (-2)/(4/(-6))*1. Let b(k) = -3*k + 1 - 4*k + w*k. Is b(-8) a composite number?
True
Let r(t) = t - 6. Let w be r(3). Is (w + 113 + 1)*1 a composite number?
True
Let g be 1/(2*2/(-92)). Let o = 0 - g. Is o a prime number?
True
Let v be (0 + -30)*8/(-6). Suppose 0 = -7*x + 3*x + v. Is x composite?
True
Let r(w) = -2*w**3 - 6*w**2 + 5*w - 3. Let g be r(-7). Suppose 0 = -3*s - 63 + g. Is s composite?
False
Let l(x) = 7*x**2 + 11*x - 2. Let q(v) = 4*v**2 + 6*v - 1. Let p(y) = -6*l(y) + 11*q(y). Let j = 2 - 6. Is p(j) composite?
True
Let g(f) be the third derivative of -f**6/120 + f**5/12 + f**4/12 + f**3/6 - 4*f**2. Let l be 7/(-2) + (-3)/(-6). Is g(l) a composite number?
False
Suppose -4*f + 6 = -2. Suppose 5*j + 2*b = 2909, -2*j + 7*b = f*b - 1152. Is j prime?
False
Suppose -p = 5 - 8. Let x = -159 - -73. Is 15/p + -2 - x a prime number?
True
Suppose j + 5*r - 2939 = -2*j, -5*r - 2959 = -3*j. Is j a prime number?
True
Is -6 + 2 - (-2 + -295) composite?
False
Suppose 8*c - 6*c + 2*h - 12 = 0, -5*c - 3*h + 30 = 0. Suppose -22 = -j - 2*r + c*r, -16 = -4*r. Is j a composite number?
True
Let h = 5 - 1. Suppose -h*w = 144 - 24. Is 2 - (w + -2) - -1 a prime number?
False
Let o(k) be the first derivative of 4*k**2 - 6*k - 1. Is o(4) a prime number?
False
Let i = -236 + 499. Is i a composite number?
False
Suppose 375 = -3*t - 2*t. Let o be (t/6 - -3)*-4. Suppose -g = -3*g + o. Is g prime?
True
Suppose -4*t + 7*l = 4*l - 1811, l = -4*t + 1791. Is t prime?
True
Suppose -2*y = 2*i - 3*i + 9, -i - y = -6. Let l = -7 + i. Suppose -15 = -5*k - l*k. Is k a prime number?
True
Let o(m) = -m**3 - 3*m**2 + 3*m - 2. Let d be o(-4). Let b be d/(-8)*5*-220. Suppose q + 4*q = b. Is q a composite number?
True
Suppose 8*a + 4*a = 2820. Is a a composite number?
True
Suppose -5*t + 20997 = 4*t. Is t prime?
True
Suppose -3*r - 33 = 4*h - 2*r, 2*r = -h - 10. Let g be 1 + (-4)/(h/202). Let w = 265 - g. Is w prime?
True
Let s(d) = 2*d**2 + 8*d - 5. Let h be 37/5 + (-4)/10. Suppose 2*f + 3*c + h = -10, 2*f - 4*c = -10. Is s(f) a prime number?
True
Let g(w) = 5*w + 6. Let p be g(6). Let u = p - 14. Is u prime?
False
Let b be -1 - (-6 - (-1 + 1)). Suppose n - 2*x = 397, -3*n + 0*x = b*x - 1158. Suppose 0 = 3*z, -5*g - 2*z = -1046 + n. Is g composite?
False
Is (-165 + -1)/(2/(-5)) prime?
False
Let k(c) = -c + 6. Let q be k(8). Is (-55)/2*(0 + q) composite?
True
Let m(c) = -c**2 + 7*c. Let w be m(7). Let i = 3 - w. Suppose i*u - 4*l = -11, -2*u = u + 2*l - 19. Is u a composite number?
False
Let b = 1192 + -671. Is b a prime number?
True
Let z be ((-6)/5)/((-2)/5). Is (z - (-155)/4)*4 a composite number?
False
Let i = -842 - -1256. Is ((-1)/(-3))/(2/i) a composite number?
True
Let j = -10 - -9. Let o(p) = -389*p**3 - p**2 + 1. Is o(j) composite?
False
Let h = -27 + 42. Suppose -12*d + h*d = 759. Is d prime?
False
Suppose -5 = 5*p - 0. Is 3 - -10*(0 - p) prime?
True
Let i = -27 - -64. Is i a prime number?
True
Let p be (1 + -2)*-3 - 3. Suppose p = -7*j + 2*j + 45. Is 2*(-2)/(-2) + j composite?
False
Is 11 + (9 + -3 - 2) prime?
False
Suppose 2*n - 432 = -72. Suppose -4*g = -n - 416. Is g composite?
False
Let o(r) = -r**3 + 9*r**2 - 8*r + 1. Let z be o(8). Let g be (10/(-6))/(z/(-3)). Suppose 0 = g*c + 271 - 866. Is c a prime number?
False
Let u(l) = 76*l**2 - 10*l + 5. Is u(6) composite?
True
Suppose -5*y = 2*m - 2, 5*y + 7 + 3 = 0. Let d(a) = -5 + 4*a**2 - 6*a**2 + 8*a + a**2. Is d(m) composite?
False
Suppose 0 = i + 13 + 26. Let r = 7 + -69. Let n = i - r. Is n
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is v at most as big as -7/2?
False
Suppose 5*b = 142 + 18. Suppose 3*k + b = 8. Let v be ((-2)/6)/(k/246). Is 10 less than or equal to v?
True
Suppose -6*r = -24 + 42. Let v(k) = -6*k**3 - 2*k**2 - 18*k - 29. Let u be v(r). Is u < 170?
True
Suppose -57 = -6*t - 33. Let p be (-769948)/1680 + t/14. Let i = p + 458. Which is smaller: i or -1?
-1
Let g = 355 - 307. Suppose -g*o = -50*o + 254. Are 126 and o unequal?
True
Let w = -5397 + 5409. Let g = 4 - -2. Let n be 1*g*(0 + 2). Are w and n nonequal?
False
Suppose 466 - 6 = 20*d. Let j = -13 + 9. Is j smaller than d?
True
Let l be (3/820)/(3 - 6). Let i = -2667/1640 - l. Is -2 less than or equal to i?
True
Let n = -22 - -16. Let y(q) = 5*q - 7. Let c be y(2). Let i(u) = -2*u**2 + 10*u - 17. Let v be i(c). Which is bigger: n or v?
v
Let c(p) = p**2 + 5*p - 6. Let v be c(-6). Suppose 3*t + 19 - 763 = 3*k, 2*t = 5*k + 505. Let f be t/(-280) - 3/(-8). Which is smaller: f or v?
f
Let y(h) = h**3 + 34*h**2 + 3*h + 152. Let s be y(-34). Suppose c + 3*p = s, 0 = -12*c + 14*c - 2*p - 132. Is c bigger than 2/9?
True
Let s = -50 + 141. Suppose -r = 3*p - 79, -286 = -5*r + 3*p + s. Let u(t) = 13*t - 2. Let o be u(6). Is o < r?
False
Suppose w - 5*m + 1 = -19, -5*m + 20 = 5*w. Suppose -4*c + 24 = 4*k, -5*c - 3*k + k = -24. Suppose -t = w, 4*r + 3*t - c*t = 16. Which is smaller: 39/8 or r?
r
Let s(z) = z**2 + 3*z - 2. Let h be s(1). Let i = -683.836 + 684. Which is smaller: h or i?
i
Let x(u) = -u**2 + 6*u - 6. Let w be x(4). Let o be (-8)/48*((-28)/10 + w). Suppose 2*t = 3*t + 1. Which is smaller: t or o?
t
Let g = 2875 + -3000. Is g smaller than -123?
True
Let p = -1685 + -6907. Which is smaller: p or -8593?
-8593
Suppose -171591 = -49*s + 70*s. Let i = s - -1070406/131. Does i = 1?
False
Let w be (-38)/(-57) - 4/6. Suppose w = u - 4*h - 12, 2*h = 6*h + 8. Let o be (5/(-15))/(2 - u)*2. Is -15 at most o?
True
Let k(w) = -w**2 - 20*w - 3. Let s(t) = 21*t. Let d be s(-1). Let v be k(d). Let i = v + 38. Is i bigger than 12?
True
Let p = 273 + -262. Let s = 10.12 - -0.78. Let q = p - s. Which is greater: -2/15 or q?
q
Suppose -2*v = y + 2*v - 670, -5*v = -3*y + 2095. Let w = -779 + y. Let p = 3 - 2.9. Which is smaller: w or p?
w
Suppose 336 = -31*i + 10*i. Let v be 18/i + (-1078)/84 + 13. Which is smaller: -1 or v?
-1
Let o = 3372.2 - 3383. Do o and 1 have different values?
True
Suppose 0 = 2*g - 2*j - 16, 3*g - 2*j + j - 18 = 0. Suppose 0*m = 3*m - 2*b + 2, -g*m + 2 = 2*b. Which is smaller: -2/735 or m?
-2/735
Let d be (20/75)/((10/(-3))/(-5)). Which is smaller: -1687 or d?
-1687
Let z(x) = x**3 - 4*x**2 + 2*x + 1. Let m be z(2). Let n be ((-2 + 1)*m)/((-8)/(-56)). Let c be (n/(-14) - (0 - -1))*2. Which is greater: c or -37/7?
c
Let d = -2787 - -3001. Is 206 smaller than d?
True
Let x = -6180 + 6192. Which is smaller: x or -0.6?
-0.6
Let t = -5/1191 + -6739/2382. Which is smaller: t or -0.31?
t
Suppose 0 = -7*r + 3*c + 370, -3*c - 291 = -5*r - 19. Which is smaller: r or 115?
r
Suppose 5*s = d - 29, 5*s + 20 = 4*d + s. Is d < -3/865?
True
Let s be -4 + 3 - (-1)/2. Let j(f) = -9*f + 81. Let h be j(9). Let m be -4 - (h/(-1) - (-42 + 9)). Is s > m?
True
Suppose -34*k + 37*k - 5*r = -472, 2*k = 4*r - 318. Suppose p - 464 = 3*w - 4*p, -4*w = -p + 596. Does w = k?
False
Let m = 484.09 - 481.7. Is m equal to 8?
False
Let s(v) = -v**2 + 40*v - 201. Let k be s(6). Suppose 3*a - r = k, -a - 4*r - 12 = -0*a. Which is greater: 9/35 or a?
9/35
Suppose 4*a + 4*n = 5 - 41, 0 = 3*a + n + 15. Which is bigger: -144/37 or a?
a
Suppose 5*m = -t + 16834, -2 = 3*t - 14. Which is smaller: 3367 or m?
m
Let v = 36 - 47. Let j = 277/25 + v. Which is smaller: 1 or j?
j
Let t = 0.47 + -0.46. Let s = -502 + 524. Which is bigger: s or t?
s
Let p(d) = 3*d**3 - 354*d**2 - 3*d + 354. Let n be p(118). Is n > 12/6149?
False
Let f = -593/6 + 4133/42. Is 4292 not equal to f?
True
Let r(q) be the second derivative of -25*q**3/6 + 59*q**2/2 + 12*q. Let t be r(5). Which is smaller: -67 or t?
-67
Let m be 12/(-2)*(-33)/6050. Let h = m + 7/55. Is -1 != h?
True
Let c = 160 - 82. Let x(i) = -i**2 - 13*i + 24. Let v be x(-18). Let o be c/v + 8/44. Do o and -4/17 have different values?
True
Let u = 105.7 + -123. Let y = -32.4 - u. Let g = 15 + y. Which is greater: -4.1 or g?
g
Let q(r) = -3*r + 33. Let l be q(13). Let f be (-266)/84 + (-7)/l + -1. Which is greater: -11/4 or f?
-11/4
Let b = 5703 + -4367. Is 0.1 >= b?
False
Let y(a) = 3*a + 4. Suppose -2*p - p + 12 = 0. Suppose p*w + 1 = 3*w. Let i be y(w). Which is bigger: i or 2/19?
i
Let x = -10610 + 10423.43. Let n = x + -4.43. Which is smaller: n or 1/5?
n
Let b be (-938)/(-804) + (-13)/6. Is 2/2021 at least as big as b?
True
Let s = 1613/6 + -2669/10. Which is smaller: 0.1 or s?
0.1
Suppose 3*n = -5*a + 23, 0 = -5*n + 4*a + 2 - 13. Let f be (5 + (320/(-12))/5)/n. Is 2/57 at least f?
True
Let s(k) = -6*k - 3. Let d be s(-1). Suppose 13 = -q + t - d*t, -5*t - 45 = 5*q. Let m be (q - -7) + (-2 - 0). Is m > -4/45?
True
Let y = -9663 + 7883. Is y greater than or equal to -2/19?
False
Let l = 1083 - 108. Let w = 28047/437 + -21344608/20539. Let z = l + w. Which is smaller: 1 or z?
z
Suppose -4*d + 5*k = 36, -4*k + 642 - 714 = 4*d. Does 96 = d?
False
Let z = 712 - 1705. Are z and -993 non-equal?
False
Let s be (-11 + 20/(-24))*(1 + -4). Is -1 != s?
True
Let x = 6.2168 + -5.8968. Let n = 0.2 + 0.2. Is n at least as big as x?
True
Suppose 0 = -2*g - 19*g - 2562. Let q be (-14)/(-4) + 9/6 + g. Do -117 and q have different values?
False
Let q(h) = -6*h**2 + 48*h + 10. Let o be q(8). Let m be 2 - 2 - o/((-1050)/45). Suppose -3*l - 2 = -5. Which is smaller: m or l?
m
Let w = 7.023 + -7. Let q = -73.314 - -73. Let m = -0.214 - q. Is w smaller than m?
True
Let a be 132/(-1122) - 137/(-34)*4. Suppose a*r + 5*r = -441. Do -20 and r have the same value?
False
Let g(o) = 6*o**2 + 471*o + 1574. Let t be g(-75). Suppose 0 = r - 0*r - 214. Is t not equal to r?
True
Let b(i) = -13*i - 62. Let o be b(-5). Suppose -4*h - 2*l = 34, -o*h + 2*l + 2 = -2*l. Which is smaller: h or -27/5?
h
Suppose 268*u = 292*u - 6240. Which is greater: -4 or u?
u
Let x = 10502.93 + -10294. Let i = 209 - x. Is i not equal to 4?
True
Let o(b) = -36*b**2 + 48*b + 351. Let j be o(-8). Is -2337 >= j?
True
Let v = 3799.96208 - 3800. Which is smaller: 0.1 or v?
v
Let q(z) = -105*z - 13441. Let k be q(-128). Let t be 1/101*(0 + 3). Does t = k?
False
Let g be -1 + 1 - -2 - (-1 + -3). Suppose 2*q + 4*t + 194 = 0, -4*t + 186 = -2*q - g*t. Is -90 at most as big as q?
True
Suppose -723*l - 1411592 = -169*l. Is -2549 at least as big as l?
False
Let d = -67 + 69. Suppose -58 + 12 = -d*k. Suppose 0*y - 22 = -y. Which is smaller: y or k?
y
Let u be ((-2)/5)/(784/(-1811012)). Let f = u + -924. Is f < -1?
False
Let i = -70/74533 + 8468004/9175086833. Which is smaller: 1 or i?
i
Suppose -4*p + 29 + 3 = -v, 0 = 3*p - v - 25. Suppose 3*n = -4*i - 99, p*i - 4*n + 68 = 4*i. Is i <= -24?
True
Suppose 0 = 5*z - 4*w - 108, -3*z = 4*w - 0*w - 52. Let v = -1.621 + 1.721. Which is greater: z or v?
z
Let s(b) = -2*b**2 - 2*b + 3. Let v be ((-2)/(-12))/((-3)/(-18)). Let l be s(v). Let a be 4 - ((-729)/(-105) - 3). Which is bigger: l or a?
a
Let l = -84 - -84.046. Let b = l - 0.146. Let u = -111 + 92. Is u > b?
False
Let s = -1463 + 1496. Are s and 58 unequal?
True
Suppose 11*b = -1085 - 1368. Let j = -279 - b. Is j equal to -57?
False
Suppose -5*c - 10 = -5*b, -4*b - b = -2*c + 2. Let w be ((-1)/3)/((-3)/54*b). Let s = w - -4. Is s bigger than 5/13?
True
Let a be 122/854*3/2. Suppose 0 - 1 = u. Which is greater: a or u?
a
Let c be 2028/(-564) + 154/42. Is c >= -1?
True
Let j(z) = -2*z**3 - 5*z**2 + 6*z + 13. Let d be j(-4). Suppose 3*p + 5*t = -2*p + 360, 4*t - 214 = -3*p. Suppose -2*k = -0*k - p. Is d < k?
False
Let h = -17435/46 + 771/23. Is -345 >= h?
True
Let v = -726 - -426. Let s = v - -303.5. Let b = -1.1 - -0.1. Is b less than or equal to s?
True
Let g = -8976 + 8976. Which is greater: 2710 or g?
2710
Let i(r) = 15*r**2 - 80*r + 347. Let l be i(5). Which is greater: 321 or l?
l
Let c = 8.7 - -43.3. Let q = -52 + c. Is 1/23 greater than q?
True
Suppose 0 = 17*v + 2449 - 1395. Which is smaller: -64 or v?
-64
Suppose -4*v + 18 = -58. Suppose -2*j + j + 8 = 0. Suppose j
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the closest to -3/110 in 2/5, -0.1, 5?
-0.1
Which is the closest to -0.4? (a) 2/9 (b) -3 (c) -1 (d) 2
c
Which is the closest to 2? (a) -6 (b) -1 (c) 0.4 (d) -14
c
Which is the closest to 90? (a) 2 (b) -0.4 (c) 16
c
What is the closest to 6 in 5/2, -1, -0.1?
5/2
What is the closest to 0.1 in -2/9, -2/19, -2/7?
-2/19
Which is the nearest to -2? (a) -3 (b) 0.2 (c) 0.01 (d) 0.23
a
Which is the closest to -2? (a) 0.4 (b) 1/9 (c) -2/15 (d) 23
c
Which is the nearest to 1.46? (a) 0.08 (b) -3 (c) -4
a
Which is the closest to -31? (a) -2/5 (b) -0.04 (c) 1/4 (d) -4
d
What is the nearest to -1 in -6.8, 2, -0.3?
-0.3
Which is the closest to -0.2? (a) -1/7 (b) 5 (c) -6
a
Which is the nearest to 1? (a) 3.1 (b) 2/7 (c) 3 (d) 4/9
d
Which is the nearest to 0? (a) 11 (b) -1/2 (c) 0.1 (d) -3/4
c
What is the closest to -2 in 1/4, 7, -3, 0.4?
-3
What is the nearest to 3/20 in -97, 1, 0.2?
0.2
Which is the closest to 0.1? (a) -3 (b) -0.5 (c) 63/4
b
What is the nearest to 2 in -0.4, 3/4, 2, -13?
2
What is the closest to 3 in -2/7, 0.5, 3, -2?
3
What is the closest to -0.2 in 3/7, -2/7, -14, 1?
-2/7
What is the closest to 0.1 in -1, -0.033, -0.5?
-0.033
What is the nearest to -0.3 in -1, -54, -2, 1/8?
1/8
What is the closest to 0 in 579, -1/3, 3, -0.2?
-0.2
What is the nearest to 4 in 7.1, 0.3, -1, 2?
2
What is the closest to -2/15 in -0.098, -5, -1/2, 0?
-0.098
Which is the nearest to -2? (a) 1 (b) -4/5 (c) -3/4 (d) -45
b
Which is the nearest to 0? (a) 6/17 (b) 1/3 (c) -0.2
c
What is the nearest to 1 in 0.03, 1/17, 2, -0.3?
1/17
Which is the closest to 2/9? (a) 2 (b) 0 (c) -3/5 (d) 18
b
Which is the nearest to 1/3? (a) 0.5 (b) 1 (c) -2 (d) -2/11
a
What is the closest to -84 in -5, 1/5, 1?
-5
Which is the closest to 5/6? (a) 0.2 (b) -5 (c) 0.07 (d) -3
a
What is the nearest to 0 in -3, 0, 0.04, -7?
0
Which is the closest to -0.1? (a) 1 (b) -0.1 (c) -311
b
What is the closest to 2/7 in 0, -417, 3?
0
Which is the nearest to 0? (a) -3 (b) -19 (c) -1/4 (d) 0.1
d
Which is the closest to 0? (a) 0 (b) -1/25 (c) 4/5
a
What is the nearest to 1 in -2/13, 6, -3, 0.4?
0.4
What is the closest to 2/7 in -17, 0.4, 12, -3?
0.4
What is the closest to 0.1 in -43, -1/7, -4, 0.1?
0.1
Which is the nearest to 1? (a) -36 (b) -6/5 (c) 0.3 (d) 4/5
d
Which is the nearest to -0.1? (a) -0.5 (b) 1/3 (c) 4 (d) -3
a
What is the nearest to 1/46 in -5, -0.09, -1?
-0.09
What is the nearest to -1 in -14, -3, -117?
-3
Which is the closest to 0? (a) 0.5 (b) -2 (c) -5 (d) -3
a
What is the closest to -0.94 in 0.6, -5, 0.3, 5?
0.3
Which is the nearest to 1? (a) 0 (b) 4 (c) 2/33
c
What is the closest to -2/141 in 1/3, -3/8, -0.2?
-0.2
What is the closest to 1/4 in 5, 2/3, 1, 4?
2/3
What is the nearest to 4 in 1, -1/7, 0.5, -0.08?
1
What is the closest to 4 in -5/2, -1/4, -1/23, 2/17?
2/17
Which is the closest to -1? (a) -3/32 (b) 5 (c) 3/8
a
What is the nearest to 1.5 in -13, -0.2, -2?
-0.2
What is the closest to -1 in -71, -0.1, 2/3, 2?
-0.1
Which is the closest to 2/7? (a) 3/4 (b) 5 (c) -0.3 (d) 41
a
Which is the closest to -0.3? (a) 2/3 (b) 0.5 (c) -1 (d) 4
c
Which is the closest to -75? (a) 3/2 (b) -4 (c) 168
b
What is the nearest to 2 in 5, 4.8, -7?
4.8
Which is the nearest to 0.01? (a) 2/13 (b) 1 (c) 3 (d) -2/5
a
Which is the closest to 1? (a) -0.2 (b) 0.02 (c) -1/9
b
What is the nearest to 3 in 2, -35, -1/5?
2
What is the closest to 2 in 16, 0.4, -2/7, -11?
0.4
Which is the closest to -2/9? (a) 9 (b) 1/4 (c) -18
b
Which is the nearest to -6? (a) -3 (b) -3/2 (c) -0.3 (d) -4
d
What is the nearest to 1 in -24, -0.5, -4, -8?
-0.5
What is the closest to 2/3 in 0.3, -0.03, -111?
0.3
What is the closest to -10 in 0, -5, 3?
-5
Which is the nearest to -0.1? (a) -1/7 (b) -3 (c) -53
a
What is the closest to 3/5 in 0.7, 2, -7?
0.7
Which is the nearest to -4? (a) -0.4 (b) 0.4 (c) 2/71
a
What is the nearest to 0.2 in 0.02, -3, 0.5?
0.02
What is the closest to 1/3 in -0.1, 1, -81, -2/19?
-0.1
Which is the closest to 17? (a) 0 (b) 0.1 (c) 0.4
c
What is the nearest to 0.5 in 1/5, 0.12, -0.02?
1/5
What is the nearest to -1.5 in -0.4, -4, 1/4, -11?
-0.4
Which is the nearest to -1? (a) 4 (b) -4 (c) -0.5 (d) 2/27
c
What is the closest to 7 in 3/7, -0.07, 5?
5
Which is the closest to 86/9? (a) 0.4 (b) 2/9 (c) 4/5
c
What is the closest to -2/5 in 2, -6, -0.1, -0.3?
-0.3
What is the closest to -1 in 2/13, 5, 0.2?
2/13
What is the nearest to 5/2 in -0.4, 1, 2, -26?
2
What is the closest to 0.02515 in -1, 0.3, -2?
0.3
What is the closest to -0.177 in -8, 4, 2/5?
2/5
What is the closest to -1/4 in 28, 0.4, 0.1?
0.1
What is the nearest to 11 in -2/7, 5, 0.5?
5
What is the nearest to 0.1 in 1/3, -3/8, 3.8, -2/7?
1/3
Which is the closest to 0.3? (a) -1/4 (b) -5 (c) 4 (d) -1.4
a
What is the closest to 1 in -2/3, 0.1, 0.4?
0.4
Which is the closest to 1/42? (a) 6/5 (b) -2 (c) 1/6 (d) -0.5
c
What is the closest to 0.03 in 0.4, 5, 18, 3?
0.4
Which is the nearest to -0.1? (a) 14 (b) 5 (c) -4 (d) -3/5
d
What is the closest to 0.1 in 4, 1/21, -2, 2/7?
1/21
Which is the nearest to 0.33? (a) 0.4 (b) 2 (c) 3/2 (d) -3
a
What is the nearest to 1 in -10/7, 2, 90, 0.3?
0.3
What is the nearest to -1 in -4, -1, 3, -1/552?
-1
Which is the closest to 0? (a) 5/7 (b) 2/19 (c) -2 (d) -2/5
b
What is the closest to 0.1 in -1, -2/9, -1/3, 0.2?
0.2
What is the nearest to -1 in -3, 44, -3/2?
-3/2
Which is the closest to -10? (a) -2/7 (b) 1/7 (c) 3/5 (d) -1/3
d
Which is the closest to -1/5? (a) 0 (b) -9 (c) 2 (d) -5
a
Which is the closest to -0.6? (a) 19 (b) 2/5 (c) 3/5
b
Which is the nearest to 0? (a) -0.15 (b) 1 (c) 4 (d) -2/3
a
Which is the closest to 1? (a) 0.5 (b) -5/2 (c) 1 (d) -2/7
c
What is the closest to 0.1 in -4/5, -1, 1/2, 4?
1/2
Which is the closest to -99? (a) 2 (b) 3 (c) 3/7
c
What is the closest to -2 in 5, 1, 2/69?
2/69
Which is the nearest to 2/3? (a) 1/2 (b) -2/17 (c) 3 (d) 29
a
Which is the closest to 134.4? (a) 0.2 (b) -1/3 (c) 2/5
c
Which is the nearest to -0.1? (a) 16/25 (b) 3/5 (c) 7
b
What is the nearest to -0.1 in 2/11, 1, -121?
2/11
Which is the nearest to 0? (a) -2/5 (b) 22 (c) 9
a
Which is the nearest to 0.4? (a) 4 (b) 2 (c) -0.06
c
Which is the nearest to -2? (a) 3/5 (b) -0.4 (c) -3 (d) -97
c
What is the closest to 1/5 in -0.4, 59, -1/2?
-0.4
Which is the nearest to 0? (a) -0.1 (b) 1/8 (c) -2 (d) 0.3
a
What is the nearest to -1 in -0.2, 3, 1/4, -4/9?
-4/9
What is the closest to 2 in 0.8, 0.4, 22?
0.8
Which is the nearest to 14? (a) -0.5 (b) -0.1 (c) -0.3
b
What is the nearest to -2/7 in 1/2, 2, 5?
1/2
What is the nearest to -5/9 in 2/9, -5/2, -1/7?
-1/7
Which is the closest to 1? (a) 1 (b) 5 (c) -6482
a
What is the nearest to 1/33 in 25, -0.1, -0.3?
-0.1
What is the nearest to 2/5 in 4/5, 0.2, -7/4, -3?
0.2
What is the nearest to -0.1 in -4, 0.1, 0.3, 4?
0.1
What is the closest to 0 in -2/23, 29, 0.3?
-2/23
Which is the closest to -1? (a) 6.4 (b) -5 (c) -2
c
What is the nearest to -0.11 in 0.4, 3, -3, -0.1?
-0.1
What is the closest to 0.1 in 3, -4, -0.7?
-0.7
Which is the closest to 3? (a) -3/2 (b) -0.5 (c) -1/25
c
What is the nearest to -0.3 in -22, 5, -4?
-4
What is the closest to -1/4 in 5/3, -11/9, 8/7, -2?
-11/9
What is the closest to -0.5 in 1/2, -33, -4?
1/2
Which is the closest to 1/3? (a) -4 (b) 0 (c) -3/5 (d) 7/3
b
What is the closest to 1 in -4/3, 3/4, 4?
3/4
What is the closest to 4 in 23, 4, -0.4, 3/4?
4
What is the closest to 1 in 2/5, 1, -0.2, 1/5?
1
What is the closest to 0.1 in 0.12, 0.4, -14?
0.12
Which is the closest to -2/7? (a) -1 (b) 0.3 (c) 2/9 (d) -1/5
d
Which is the closest to 2/3? (a) 1/5 (b) -0.5 (c) -1/4 (d) -1/11
a
Which is the nearest to 2/5? (a) 0.1 (b) -2 (c) 0.03 (d) -7
a
What is the closest to 0 in -0.4, 142, 0?
0
What is the nearest to -1 in 2/3, 0.3, -13, 3?
0.3
Which is the closest to 0? (a) -0.1 (b) -5 (c) -30 (d) 1
a
Which is the nearest to -5/7? (a) -1 (b) -1/3 (c) 0.4
a
Which is the closest to 2/5? (a) -0.5 (b) -25 (c) -0.4
c
Which is the nearest to -2? (a) -5 (b) -6 (c) -1/5 (d) -2/5
d
Which is the closest to -2/7? (a) -6 (b) 4 (c) 2 (d) -1
|
{
"pile_set_name": "DM Mathematics"
}
|
3329. What is h rounded to the nearest one hundred?
-2100
Let x = 100.4 - 32.1. What is x rounded to the nearest 10?
70
Suppose -146*c + 427506 = -1380558. What is c rounded to the nearest one hundred?
12400
Let b = -299.1 - -313. Round b to 1 dp.
13.9
Suppose -15 = -y - 2*y. Suppose -1191 = -y*l - 0*h - 3*h, 0 = 4*h - 8. Let c = 477 - l. What is c rounded to the nearest one hundred?
200
Suppose -2*b + 2 = -22. Let f(i) = 2*i**2 - 11*i + 1. Let m be f(5). Let y = b + m. Round y to the nearest 10.
10
Let g = -706 - -706.000001993. What is g rounded to seven dps?
0.000002
Let n(q) = q**2 + 8*q + 19. Let j be n(-6). Suppose -12556333 + 44056333 = -j*s. Round s to the nearest 1000000.
-5000000
Let z be 1002841/35 - (-6)/15. Suppose 6*c + 6183 = z. Suppose 4*n - 5*o + 0*o - c = 0, -n - 5*o + 905 = 0. Round n to the nearest 100.
900
Let i = 17959 + -8863. Suppose 5*v + 4*k = -13 - 7, 3*k + 15 = 5*v. Suppose -2*h + 3696 - i = v. Round h to the nearest one thousand.
-3000
Suppose -4*i = 16 - 40. Suppose 2*y - i*y + 31200 = 0. What is y rounded to the nearest 1000?
8000
Let b = 3.8 - 4.13. Let z = 24 - 24.229. Let w = b - z. Round w to 2 decimal places.
-0.1
Let y(j) = j**2 - 2*j + 0*j**2 - j**2 + 17 + 3*j**2. Let r be y(7). What is r rounded to the nearest 10?
150
Let g = -237.898971 - -237.9. Round g to four decimal places.
0.001
Let w = -415 - -415.00393. Round w to 3 dps.
0.004
Suppose -l - 5*x = -43765, -30*l = -29*l + 2*x - 43768. What is l rounded to the nearest 1000?
44000
Let v = -702 + 701.8519. What is v rounded to 2 dps?
-0.15
Suppose 5*b - 10 = 0, -5*b + 15216368 + 3133642 = 5*m. Round m to the nearest one million.
4000000
Let a = 2190.9998291 - 2191. Round a to 4 dps.
-0.0002
Let d = -1.71 - -1.7100000291. Round d to 7 dps.
0
Let n(q) = q + 1. Let o(w) = -20*w**2 - 5*w - 25. Let r(c) = 5*n(c) + o(c). Let d be r(8). What is d rounded to the nearest 1000?
-1000
Let d = -1346350.261 - -2695.261. Let t = d + 1343655.18999948. Let g = t + -0.19. Round g to seven dps.
-0.0000005
Let o = 73 + -72.9608. Let f = 219 + -219.03. Let c = o + f. Round c to three dps.
0.009
Let i = -2.92 + 406.92. Let x = i + -397.56. Let j = 7 - x. What is j rounded to 1 dp?
0.6
Let v = -0.4444055 + -1850745.5555945. Let q = -1850740.799884 - v. Let x = -5.2 + q. Round x to five decimal places.
0.00012
Suppose -86*u + 95*u = 3366000. Round u to the nearest 100000.
400000
Let i = 1.06 - 1. Let a = -10.431697 - -10.4917. Let u = a - i. Round u to 6 decimal places.
0.000003
Let o = 146.816 - 146. Round o to 1 decimal place.
0.8
Let r = -465 - -473.14. What is r rounded to zero decimal places?
8
Let k = -106.12181 - -88.121646. Let z = 18 + k. Round z to five decimal places.
-0.00016
Let h = -1.68 + 28.09. Let d = 26 - h. What is d rounded to 1 dp?
-0.4
Let v = -7041 + 15711. Round v to the nearest 1000.
9000
Let m = -17821 + 17821.20013. Let y = m - 0.2. What is y rounded to 4 decimal places?
0.0001
Let b = -30 - -15. Let l = -425049.00052 + 425064. Let q = b + l. What is q rounded to 4 dps?
-0.0005
Let q be (-4 - 0)/((-16)/(-12)) - -935303. What is q rounded to the nearest 100000?
900000
Let m be 4/6 - (-290280082)/(-123). What is m rounded to the nearest one million?
-2000000
Let b(m) = -11*m**3 + 3*m - 2. Let v be b(1). Let l be (v/15)/((-3)/(-81000)). What is l rounded to the nearest 10000?
-20000
Let t = 1033 - 1063.1. Round t to the nearest ten.
-30
Let u = 278 + -277.99995522. Round u to 6 dps.
0.000045
Suppose -2*s - 3*c + 46 = 0, -2*c = 4*s - s - 79. Suppose -49 = -4*n - s. Let f be -50003 - (-6)/(n + -3). Round f to the nearest ten thousand.
-50000
Let i = 8 + -4. Let q = i + -2.7. Let f = -1.29983 + q. Round f to five decimal places.
0.00017
Let m = 57 + -38. Let v = m + -19.12. Let r = 0.12013 + v. What is r rounded to four decimal places?
0.0001
Let q = -5 - 13. Let f = 19.75 + q. Let o = -1.75121 + f. What is o rounded to four decimal places?
-0.0012
Let t(o) be the third derivative of -2779*o**5/60 + 3*o**4/8 + 3*o**3 - 13*o**2. Let g be t(9). What is g rounded to the nearest ten thousand?
-230000
Let a = 948 + -956.53. Let b = -8.4566 - a. What is b rounded to two decimal places?
0.07
Let c = 219.879 + -220. What is c rounded to 2 decimal places?
-0.12
Suppose -12*i = -27*i. Let w = 0 + 2. Suppose 0*h - 52512 = 5*y - 4*h, -w*h + 6 = i. Round y to the nearest 1000.
-11000
Let t = 0.1 + -0.31. Let b = 17.3845 - 17.6. Let h = t - b. Round h to three dps.
0.006
Let o = -18 + 21. Let q = o + -1.85. What is q rounded to one decimal place?
1.2
Suppose 128*i = 115*i + 10322. Round i to the nearest one hundred.
800
Suppose -5*u + 127326 - 22376 = 0. Round u to the nearest 1000.
21000
Let k = 2408662 - 3566662. What is k rounded to the nearest 100000?
-1200000
Let u = 23 + -23.28. Let a = u + 0.12. Round a to 1 decimal place.
-0.2
Let a(k) = -2*k - 95925*k**2 - 2512*k**2 + 5*k + 4 - 12. Let h be a(-8). Round h to the nearest 1000000.
-6000000
Let d = -203 + 202.99998871. What is d rounded to seven dps?
-0.0000113
Let p = 207.906 + 0.094. Let j = p - 208.00131. Round j to four dps.
-0.0013
Let h = 1.22483024 + 0.14131586. Let n = h + -25.3661641. Let g = n - -24. Round g to 5 decimal places.
-0.00002
Let z = -2315222 - -2315454.0298. Let s = -590 - -358. Let a = s + z. Round a to three decimal places.
0.03
Let u(c) = c**2 + 8*c + 17. Let x be u(-5). Suppose 0 = x*f + 10, 9723918 + 8476067 = -2*q + 3*f. What is q rounded to the nearest one million?
-9000000
Let b = 4214 - 4214.4778. Round b to 2 dps.
-0.48
Suppose -1 = 4*p - 17. Suppose -641596 = -p*m + 258784. Let q = -44905 - m. What is q rounded to the nearest 100000?
-300000
Let x = 18427 + -5061. Suppose n - x = -5*i - 276346, 2*n + 4*i = -525984. What is n rounded to the nearest ten thousand?
-260000
Suppose 752276 = 5*q + 192251. Let k(w) = -w**2 + 11*w - 6. Let n be k(10). Suppose -i = -1, -n*u - q = -8*i + 3*i. Round u to the nearest 10000.
-30000
Suppose -2*c + 6 + 22 = 5*g, 3*c - 24 = -3*g. Suppose 3*v = -v, 53300 = -a - g*v. Round a to the nearest ten thousand.
-50000
Let a = -67716.1659 - -67764.9. Let h = -48.7 + a. Let r = -0.038 + h. Round r to 3 dps.
-0.004
Let b = -2809.993994 - -2810. What is b rounded to 3 dps?
0.006
Let w = 8 + -5. Let n be 0 + -1 + 566490 + -2. Suppose w*o = -333513 - n. Round o to the nearest 100000.
-300000
Let h = -0.0718 - -0.0953. Round h to two decimal places.
0.02
Let n = 1200 - 1200.000071. What is n rounded to 6 decimal places?
-0.000071
Let u = -399433 - -822182. Let p = u + -422496.157. Let s = p + -253. What is s rounded to 2 decimal places?
-0.16
Let x be (-1 + -4 - -1880)/((-11)/(-52624)). What is x rounded to the nearest 100000?
9000000
Let t = 57 + -37. Let h = -18 + t. Suppose -k = h*q + 8005, q + 3*q - 2*k = -15990. What is q rounded to the nearest 10000?
0
Let f = 6954.006562 - 6954. Round f to three dps.
0.007
Let o(k) = 12076*k + 32. Let z be o(-7). Round z to the nearest 1000.
-85000
Let g = -30 + 20.5. Let z = g + 7. Let f = 3.52 + z. What is f rounded to 1 dp?
1
Let z(c) = -8*c**3 + 3*c**2 + 23*c + 16. Let q be z(-11). Let k = q - 17754. Round k to the nearest one thousand.
-7000
Let k(m) = -221992*m - 8. Let x(p) = 73997*p + 3. Let w(a) = -4*k(a) - 11*x(a). Let y be w(1). Round y to the nearest ten thousand.
70000
Let v = 50.1 - 48.722. What is v rounded to one decimal place?
1.4
Let l = -30802023.1 + 30802051.0999989. Let d = 27.36 + 0.64. Let g = l - d. What is g rounded to six decimal places?
-0.000001
Let k = -4.992 - -5. Let z = k + -0.00800254. What is z rounded to 7 dps?
-0.0000025
Let o = 1.84 + -2.899. Round o to 1 decimal place.
-1.1
Let m = -0.47992554 + 138.48047054. Let l = m - 138. Round l to 4 decimal places.
0.0005
Let i(l) = 26*l**3 + 4*l**2 - 6*l - 3. Let d = 1 + -7. Let p be i(d). Let a = -25439 - p. What is a rounded to the nearest 1000?
-20000
Let y = 116.4175 + -0.1175. Round y to the nearest 10.
120
Suppose -3*o + 2 = -2*s - 1, 2*o = -4*s + 34. Let p be 960002/s - (-12)/(-36). What is p rounded to the nearest 100000?
200000
Let u = -40.076 + 0.076. Let s = u - -46.5. Round s to zero dps.
7
Let b = -298.1 - 11.9. Let o = 309.99999857 + b. Round o to six dps.
-0.000001
Let q(d) = -d**2 - 13*d - 20. Let c be q(-11). Suppose c*k =
|
{
"pile_set_name": "DM Mathematics"
}
|
= 236. Let q(f) = f**2 - 10*f - 15. Calculate the remainder when s is divided by q(13).
22
Let i(y) = y + 5. Let g(n) = n + 11. Let c be g(-8). Suppose -v = c*v - 76. Calculate the remainder when v is divided by i(5).
9
Suppose -2268 = -2*c + 20*c. Let t = c + 133. Calculate the remainder when 20 is divided by t.
6
Let i(f) = f**3 + 12*f**2 + 33*f + 100. What is the remainder when i(-9) is divided by 6?
4
Let i(j) = 65*j - 310. Calculate the remainder when i(6) is divided by 17.
12
Let b = 756 + -319. Calculate the remainder when b is divided by 34.
29
Let t = 38 + -38. Suppose -6*a - 107 + 545 = t. What is the remainder when a is divided by 19?
16
Let u = 6 - 0. Suppose -o - u = -83. Suppose 2*y + t + 19 = 71, -78 = -3*y + 3*t. What is the remainder when o is divided by y?
25
Suppose -2*y + 4 = 4*s, 8*s = -5*y + 3*s + 30. Calculate the remainder when 37 is divided by y.
7
Let l(j) = -12*j**3 - 6*j**2 - 6*j - 3. Calculate the remainder when l(-3) is divided by 72.
69
Suppose 7*n = -17 + 41 + 95. What is the remainder when (-41)/(-4)*4*1 is divided by n?
7
Let k(o) = o**2 - 10*o - 7. Let m be k(11). Let y(z) = z**2 + 2*z - 3. What is the remainder when 61 is divided by y(m)?
19
Suppose -5 = n - 1, -5*n + 7 = 3*r. Let h = 134 + -156. Calculate the remainder when 440/h*(-8)/10 is divided by r.
7
Let m be (-2 - -5)/(-3)*(-3 + -80). Let w = m - 2. Calculate the remainder when w is divided by 12.
9
Let i be -1 + -1*(0 + 1). Calculate the remainder when (12/5)/(i/(-10)) is divided by (-3*8/(-72))/((-2)/(-48)).
4
Let v(z) = -16*z - 329. Calculate the remainder when v(-22) is divided by 6.
5
Calculate the remainder when 69/1*(-2120)/(-159) is divided by 71.
68
Let u(n) = n**3 + 4*n**2 - 6*n + 2. Let k(b) = -64*b - 1. Let t be k(-1). Let q be (-1)/(-4) - t/12. Calculate the remainder when u(q) is divided by 5.
2
Let b be (-15)/(-2)*(-8)/(-6). Let y(f) = -3*f**2 + 30*f + 12. Calculate the remainder when (6/5)/(3/50) is divided by y(b).
8
What is the remainder when 307 is divided by -4 + (-1 - -9) + 20?
19
Let n(y) = -22*y**3 + 5*y**2 + 11*y + 4. Calculate the remainder when n(-2) is divided by 26.
22
Let t = -22 - -28. Let p(l) = 7*l - 23. Suppose -4*i - u = -214, 0 = -0*u - 2*u - 4. What is the remainder when i is divided by p(t)?
16
Let z = 556 + -392. What is the remainder when z is divided by 17?
11
Suppose 139 = 35*z + 34. Let d(p) = 2*p - 7. Let w be d(5). Suppose 0 = z*a - 4*a - 4*h + 16, -a = w*h - 20. Calculate the remainder when a is divided by 7.
4
Suppose -6*s + v + 61 = -s, 2*v + 44 = 4*s. Suppose 2*g + 0*c + c - 51 = 0, -3*c + 130 = 5*g. Calculate the remainder when g is divided by s.
10
Let m(r) = 2*r + 1. Let h be m(-4). Let s(n) = -n**3 - 6*n**2 + 6*n - 16. Let i be s(-7). Let l = h - i. Calculate the remainder when 2 is divided by l.
0
Suppose 2*q + 2*q - 94 = -g, 0 = g + q - 88. Calculate the remainder when 250 is divided by g.
78
Suppose -5*f - t = -263, -f + 3*t = 2*f - 165. Let d(i) = 3*i**2 + 7*i + 8. What is the remainder when f is divided by d(-4)?
25
Suppose -5*z + 7 = -2*g - 12, g = z - 2. Suppose 25 = 5*v, -2*k + 3*k - z*v - 33 = 0. What is the remainder when k is divided by 20?
18
Let u(y) = 2*y**2 - 3. Let t be u(-5). Suppose t = 3*m - 4*s + 6*s, -5*m = 5*s - 85. What is the remainder when 24 is divided by m?
11
Let s = 100 - 95. Suppose -4*b + 66 = 14. Suppose 6 + b = i. What is the remainder when i is divided by s?
4
Let k(s) = -26*s**2 + 86*s - 2. Calculate the remainder when 263 is divided by k(3).
21
Let m be -3 - -5 - (-2)/(-2). Calculate the remainder when m*(0 + (-2 - -7)) is divided by -1 - 2/(-4)*6.
1
Let t be 22/6 + 4/(-6). Suppose -s - 36 = -2*v + 3*s, 4*s + 12 = 0. Suppose -t*o = v - 72. Calculate the remainder when o is divided by 7.
6
Suppose 13*b - 14*b + 22 = 0. Suppose -b = -t + 37. Calculate the remainder when t is divided by 12.
11
Let t(k) = -2*k + 1. Let c be (7 - (-4 + 7)) + -2. Suppose -u + 81 = c*u. Calculate the remainder when u is divided by t(-7).
12
Suppose -3*t + 4*t = 210. Suppose -45 = -5*v + t. Calculate the remainder when v is divided by 9.
6
Let w = 53 - 37. Suppose w*a - a = 585. What is the remainder when 154 is divided by a?
37
Let c(j) = 102*j - j**3 - 102*j - 2*j**2 + 3. Suppose 9 = -4*v + q, -4*v + 2*q = -6*v - 12. Calculate the remainder when c(v) is divided by 5.
2
Let n = 29 - 17. Suppose 2*c + n = 4*c. What is the remainder when c/9 + (-736)/(-12) is divided by 16?
14
Let d be -165*(42/(-10) - -3)*1. Suppose 0*x - 11*x + d = 0. Let q = 36 + -2. What is the remainder when q is divided by x?
16
Let s = 193 - 160. Calculate the remainder when 64 is divided by s.
31
Suppose 0*y + 76 = 2*y. Suppose -7*q = -6*q - 10. What is the remainder when y is divided by q?
8
Suppose a + 4*b - 151 - 279 = 0, 1260 = 3*a - 3*b. What is the remainder when a is divided by 47?
46
Suppose -x = -16 - 3. Let p = -10 + x. Suppose 2*n - 41 = -3*o, -4*n + 2*o - o = -103. What is the remainder when n is divided by p?
7
Suppose 5*g - 180 = -5*q, 4*g + 3*q - 363 + 215 = 0. What is the remainder when 106 is divided by g?
26
Let s be 2/(-10) + (-2)/(-10). Suppose -4*x + m + 33 = 0, -2*x + 9 + 5 = 2*m. Let i = s + x. Calculate the remainder when i is divided by 5.
3
Suppose 2*o - 20 = -m, -o = 3*m + 4*o - 63. Suppose 2 = b - 101. What is the remainder when b is divided by m?
25
Suppose -3*k + 6*k - 309 = 0. Calculate the remainder when k is divided by 298/14 + (-3)/((-147)/(-14)).
19
Let w(v) = -5*v + 6. What is the remainder when 143 is divided by w(-6)?
35
Suppose 0 = 5*s - 10*b + 14*b - 95, -135 = -5*s + 4*b. Calculate the remainder when 89 is divided by s.
20
Let n = -2040 + 2263. What is the remainder when n is divided by 7?
6
Suppose -12 - 60 = -6*q. Suppose -9*n + q*n - 15 = 0. What is the remainder when n is divided by 2?
1
Suppose -4*t = t - 205. Let h(d) = 2*d**2 + 4*d - 42. What is the remainder when t is divided by h(4)?
5
Suppose -5*g = -3*h - 93, -3*h = g + 2 - 17. Let l(x) = -x**2 - 2*x. Let n be l(-2). Suppose 10 = -n*c + c. Calculate the remainder when g is divided by c.
8
Suppose 3*i - q + 3*q - 2 = 0, 4*q = 2*i - 12. Let n(z) = 6*z + 1. What is the remainder when 24 is divided by n(i)?
11
Suppose -4*a + 11 = 2*d - 1, 4*d + 8 = 0. Suppose 0 = -v - v + 20. Calculate the remainder when v is divided by a.
2
Let v = 41 - 35. Let s = -3 + v. Suppose -30 = -2*p + 2*f, 0*f = -p + 4*f + 27. What is the remainder when p is divided by s?
2
Suppose 7*h + 315 = -2*h. Let m = h + 43. What is the remainder when 46 is divided by m?
6
Let b be (-12)/(-1)*(-13)/(-2). Suppose 4*c - 104 = 3*y, 2*y = -3*c - y + b. Suppose 0 = g - 3*g + c. What is the remainder when 23 is divided by g?
10
Let c be (-4)/26 + 3836/91. Suppose 3*k = k + c. Suppose 0 = x - 9 - 3. What is the remainder when k is divided by x?
9
Let v = -4 + 6. Suppose -7 = -u - 5*a + 2, -7 = 3*u - v*a. What is the remainder when 4*(u - -2) - -30 is divided by 12?
10
Suppose -2*k = 3*k - 3*f + 748, -2*k + 4*f - 288 = 0. What is the remainder when 2/(-6)*(-22 + k) is divided by 30?
28
Let n(d) = -d**3 + 9*d**2 + 14*d - 5. Suppose -139*c - 16 = -143*c. Calculate the remainder when n(10) is divided by c.
3
Let f(y) = -y - 3. Let c be f(-8). Suppose 231 = c*z + 11. Calculate the remainder when 173 is divided by z.
41
Suppose 0*c - 4*c = -60. Let b be 5/10 + 162/(-4). Calculate the remainder when b/(-1) - 0 - -2 is divided by c.
12
Let j(b) = b**3 + 7*b**2 - b - 3. Let l be j(-7). Let g be ((-16)/(l/1))/2. What is the remainder when 119 is divided by 1 + 31 + 4/g?
29
Let w(s) = 4*s**2 - s**2 + 0*s**2 + 2*s - 2 - 2*s**2. Let z(l) = -l**3 + 4*l**2 - 7. Let r be z(3). What is the remainder when 23 is divided by w(r)?
5
Suppose 0 = -12*a + 3*a + 36. Suppose -2*d = -a + 2, 0 = -2*r - 2*d + 46. Calculate the remainder when r is divided by 6.
4
Suppose 19*p - 495 - 1253 = 0. Calculate the remainder when p is divided by 19.
16
Suppose -5*a - 34 - 56 = 0. Let w = 30 + a. What is the remainder when 22 is divided by w?
10
Calculate the remainder when ((2 - 0)*1)/((-9)/(-261)) is divided by 8.
2
Suppose -5*o + 11*l = 16*l - 40, o - 2*l = 8. What is the remainder when 21 - (3 + -4 + 2) is divided by o?
4
Let x(j) be the first derivative of 2*j**3/3 - 11*j**2/2 + 18*j -
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 4*l = -4*h + 44768, 0 = 4*h + 39*l - 41*l - 44762. What is the remainder when h is divided by 91?
89
Let o = -1749 - -1760. What is the remainder when 10643 is divided by o?
6
Suppose -166*k + 329*k - 161*k = 352. Calculate the remainder when k is divided by 82.
12
Suppose -45*x + 917 + 3414 = -1159. What is the remainder when 377 is divided by x?
11
Let f = 581 - 518. Calculate the remainder when f is divided by 18.
9
Let y = -299 + -23. Let t = y - -502. Calculate the remainder when t is divided by 46.
42
Suppose -2*y + 485 = 2*r - r, 1005 = 4*y - 5*r. What is the remainder when 1211 is divided by y?
231
Suppose -5*m + 92*i - 89*i = -69, -48 = -5*m - 4*i. Let q(a) = -14*a + 185. Calculate the remainder when 2 - (-1 + 1 + -45) is divided by q(m).
13
Suppose -3*f - 23*u + 24*u = -434, 566 = 4*f + 5*u. What is the remainder when f is divided by 7?
4
Let r = 9082 + -9077. Suppose z + 0*z = -4*p - 1, -z = -2*p + 1. Calculate the remainder when r is divided by z/(1/(-8)*2).
1
Let h(q) be the first derivative of q**4/4 + 8*q**3/3 + q**2/2 - 48*q + 34. What is the remainder when 285 is divided by h(-6)?
15
Let v(h) = 14*h**2 + h + 4. Let z be v(-3). Let l = z + -113. Calculate the remainder when 167 is divided by l.
13
Let u(m) = 6*m**2 + 207*m + 12. What is the remainder when u(-36) is divided by 18?
12
Let v = -5 - -60. Suppose -5*m - 2*k = -4*k - 163, -73 = -3*m - 5*k. What is the remainder when v is divided by m?
24
Let b = 4423 - 2702. What is the remainder when b is divided by 38?
11
What is the remainder when 165 is divided by 14 + (14*(-10)/35)/((-8)/6)?
12
Let q = 164 - 332. Let s = 187 + q. Calculate the remainder when 74 is divided by s.
17
Let v be (132/24)/11 - (-30)/4. Suppose -v*b + 57 + 87 = 0. Calculate the remainder when 55 is divided by b.
1
Suppose 2*i - 124 = 2*x, 3*x = -2*i - 2*x + 89. Let o = 113 + -102. Suppose -o*t - 15 = -12*t. Calculate the remainder when i is divided by t.
12
Let c = -570 + 755. Calculate the remainder when c is divided by 46.
1
Let k(d) = d**3 - 58*d**2 + 655*d - 15. What is the remainder when 1354 is divided by k(15)?
4
Calculate the remainder when -1 - -2054 - (2220/(-10))/37 is divided by 206.
205
Suppose -36*j - 93*j - 2167 = -9391. Calculate the remainder when j is divided by 23.
10
Suppose 131*p = 14650 + 808. Calculate the remainder when p is divided by 9.
1
Let x(b) = -b**2 - 16*b - 13. Let a be x(-15). Suppose 0 = -u + a + 3. Suppose u*d + 0*d - 125 = 0. Calculate the remainder when d is divided by 8.
1
Calculate the remainder when (3*76/(-8) - 2)/((-5)/70) is divided by ((21 - -4) + 1)/2.
11
Let k be (-6 - -4 - -3)*-263. Let o = 328 + k. Calculate the remainder when o is divided by 3.
2
Suppose 0 = -5*a - 2*h + 324, 0 = 3*a - h + 56 - 257. What is the remainder when ((-2)/(-6))/((a/(-1044))/(-11)) is divided by 18?
4
Suppose 3*g = -0*g + 2*n + 33, 0 = -3*n. What is the remainder when ((-4)/2)/(508/(-3302)) is divided by g?
2
Suppose 798 = -9*c + 294. Let d = 63 + c. Let k(t) = -t - 5. What is the remainder when k(-17) is divided by d?
5
Suppose -30*r + 58*r - 7504 = 0. Calculate the remainder when r is divided by 70.
58
What is the remainder when (12575 - 0) + ((-32)/48)/(3/(-18)) is divided by 44?
39
Let q(f) = f**3 + 20*f + 23. Calculate the remainder when q(0) is divided by -2 + 2 - (-2 + 1).
0
Let z = -19159 + 19816. What is the remainder when z is divided by 20?
17
Suppose -3*y = -3*m - 6303, 2*m - 8398 = -2*y - 2*y. Suppose 17*v - y = 263. Calculate the remainder when v is divided by 28.
27
Suppose -19*h = 9*h + 11928. Let k = -360 - h. Calculate the remainder when 461 is divided by k.
65
Suppose 0*v - 3*v = -5*x + 1021, 0 = -12*x - 3*v + 2481. What is the remainder when x is divided by 135?
71
Suppose -3*y + y + b + 81 = 0, 5*y - 201 = 3*b. Let n(g) = -g**3 + 21*g**2 - 92*g - 17. Calculate the remainder when n(10) is divided by y.
37
Let k(d) = 2*d + 3. Let r(f) = 6*f - 38. Let x(s) = 4*k(s) - r(s). Let a be -2*(2 + 57/6). What is the remainder when 21 is divided by x(a)?
1
Let z(v) be the third derivative of -v**6/120 + 7*v**5/12 - v**4/24 + 21*v**3/2 + 99*v**2. What is the remainder when z(35) is divided by 11?
6
Let x(y) = 2*y**3 + 96*y**2 - 78*y - 109. What is the remainder when x(-48) is divided by 130?
125
Suppose 2*d - 740 = -5*w, -5*d - w + 1730 + 51 = 0. What is the remainder when d is divided by 149?
57
Suppose -5*s + 174 = -26. Let d(t) = 5*t - 41. Let c be d(9). Suppose 2*j = -0*j - q + 19, c*q = -5*j + s. Calculate the remainder when 35 is divided by j.
11
Let b be 3/(18/9 - 634/318). Let y = 623 - b. What is the remainder when y is divided by 49?
48
Let i(w) = -2*w**3 - 12*w**2 - 15*w - 50. Suppose 0*t = -4*t + 308. Calculate the remainder when i(-7) is divided by t.
76
Let a = -989 + 1845. Suppose 0 = -2*g - 5*l + 802 + 62, 2*g - a = -3*l. What is the remainder when g is divided by 47?
46
Suppose 37*w + 18149 = 91*w - 4261. Calculate the remainder when 422 is divided by w.
7
Let n = -125 - -199. What is the remainder when -9 - ((-1)/(5/(-15)) + 32/(-8) + -170) is divided by n?
14
Suppose 44 = -m + 3*s, 3*s - 73 = 10*m - 8*m. Let k(o) = -o**3 - 27*o**2 + 58*o + 15. What is the remainder when 1 + 4 + -2 + 39 is divided by k(m)?
12
Suppose -8 = -h - 6. Let u be (-34)/((h/4)/(5/10)). Let w = u - -49. Calculate the remainder when 28 is divided by w.
13
What is the remainder when (957444/184)/(5/((-10)/(-3))) is divided by 13?
11
Let f = 16 - 53. Let d = f - -41. Suppose d*z - 6*z = -14. What is the remainder when 39 is divided by z?
4
Suppose 180 = -15*i + 19*i. What is the remainder when i is divided by ((-5)/25*13)/((-5)/(75/3))?
6
Suppose -56 = -4*o + 4. Let i be 3/o - 57/(-15). Calculate the remainder when 33 is divided by -3 + -1 + i + 7.
5
Suppose 4*d - 63 = d. Suppose -81 = -6*x + d. Suppose 9 = -j + x. Calculate the remainder when 35 is divided by j.
3
Let c(m) = 3444*m + 154. Calculate the remainder when c(1) is divided by 40.
38
Suppose 4*d - 43 + 3 = 4*f, 5 = 4*d + 3*f. Suppose -r - 1 = 0, 155*k = 157*k + 4*r - 100. Calculate the remainder when k is divided by d.
2
Suppose 3*q - c = -16, 2*q + 3*c + 22 = q. Let r = -4 - q. Suppose -13 = -n + 3*k, r*n = 2*k - 0*k + 39. Calculate the remainder when n is divided by 3.
1
Let y = 758 + 3628. What is the remainder when y is divided by 77?
74
Suppose 0 = -9*v - 9*v + 37676 + 27754. What is the remainder when v is divided by 35?
30
Suppose -95*p + 100*p - 95 = 0. What is the remainder when 56 is divided by p?
18
Suppose -l = 4*r - 6, 2*r + 4*l + l + 6 = 0. Suppose -r*x - 6 = 126. Let f = x + 128. What is the remainder when f is divided by 13?
10
What is the remainder when (1 - (4 + 906) - 26/(-13))*-1 is divided by 130?
127
Let d = -5276 + 5416. Calculate the remainder when d is divided by 42.
14
Suppose 70*i + 449 - 12979 = 0. What is the remainder when i is divided by 4/(-18) + (-814)/(-18)?
44
Suppose -63*s - 351 = -62*s. Let t = -324 - s. What is the remainder when 181 is divided by t?
19
Let v be 4/(-6) + (-19818)/(-81). Suppose -5*f + v = -2*k, 0 = -10*k + 6*k - 8. What is the remainder when 183 is divided by f?
39
Suppose 5*i + k + 6 = 0, 4*i = i + 3*k. Suppose 55*r - 62*r = -5*f + 57, -2*f - 2*r + 18 = 0. What is the remainder when (-50)/i*(-1)/(-2) is divided by f?
5
Let a(r) = r**2 - 7*r - 2. Let x(n) = -n**2 - 11*n. Let o be x(-10). Suppose w - o*w + 72 = 0. Calculate the remainder when 28 is divided by a(w).
4
Let s = -273 + 322. What is the remainder when 7542 is divided by s?
45
Let f(w) = -w**2 + w + 49. Let r = -40267 + 40284. What is the remainder when f(0) is divided by r?
15
Suppose 1873 - 695 = 19*k. Suppose 0*o - 61 = -4*o - 3*u, -5*o + k = -u. What is the remainder when 116 is divided by o?
12
Suppose 583 - 187 = 23*b + 109*b. Calculate the remainder when 124 is divided by b.
1
Let g = 58 - 53. Suppose 0 = -3*r - 3*n + g*n + 756, 0 = 2*r - 5*n - 515. Calculate the remainder when r is divided by 51.
46
Calculate the remainder when (((-2)/(-9))/((-3)/(-1494)))/((-440)/(-38280)) is divided by 90.
88
Suppose 11068 = 417*j - 447*j + 63568. What is the remainder when j is divided by 40?
30
Suppose 12*q = 19*q - 301. Let a = -228 - -399. What is the remainder when a is divided by q?
42
Let t(n) = -n
|
{
"pile_set_name": "DM Mathematics"
}
|
(-36)*3/(9/(-2))?
9
Suppose 0 = 32*v - 1448024 - 13192. Calculate the remainder when v is divided by 43.
40
Suppose y - 14 - 33 = 0. Let u(d) = -4*d**3 - 69*d**2 - 14*d + 29. Let m be u(-17). Let z(f) = 14*f + 312. What is the remainder when y is divided by z(m)?
3
Suppose 0 = 5*g + 21 - 141. Let r be 2/(-8) + -5 + 246/g. Suppose 0 = -r*y - y + 888. Calculate the remainder when y is divided by 30.
28
Let a = 509 + -489. Suppose 0*k = -4*i + k + 159, -4*k + a = 0. What is the remainder when 76 is divided by i?
35
Let d(w) = -13*w - 3. Let u(p) = p**3 - 30*p**2 - 1542*p + 330. What is the remainder when u(57) is divided by d(-3)?
15
Let a = 403 + -349. Let r = a - -87. Calculate the remainder when r is divided by 49.
43
Suppose 0 = -3*c + 614 + 220. What is the remainder when c is divided by 77 - 0 - 305/61?
62
Let y = 2257 + -2240. Calculate the remainder when 59 is divided by y.
8
Let r = -72 + 75. Suppose f - 77 = -4*m, -2*m + r*f = 30 - 79. What is the remainder when m is divided by 13?
7
Let b = 887 + 188. Calculate the remainder when b is divided by 77.
74
Suppose -6*l = 3*l - 81. Suppose l*f = 10 + 89. Suppose 0 = -3*b - 3*i + 54, 3*i + 5 - f = 0. Calculate the remainder when 60 is divided by b.
12
Suppose -41*n - 110 = -42*n - 4*b, -3*b - 264 = -2*n. What is the remainder when 137 is divided by n?
11
Suppose 0 = g + 5*h - 1793, 46*g - 50*g - 2*h = -7136. What is the remainder when g is divided by 4?
3
Suppose 20 = 5*i, d - 3*d + 48 = 2*i. Suppose 2*j - 22 = d. Let k(y) = 54*y + 6. What is the remainder when k(1) is divided by j?
18
Let p = -1830 - -1897. Calculate the remainder when p is divided by 56.
11
Let h(z) = -13*z**2 + z + 5. Let m(n) = 11*n**2 - n - 5. Let a(u) = -6*h(u) - 7*m(u). Calculate the remainder when 326 is divided by a(6).
44
Let v be (-6)/(-21) - -36*5/7. Suppose -2*w = 4*b - v, -w + 3*w - b = 1. What is the remainder when 6 is divided by w?
0
Suppose 2*f - 5*f = 9. Let w = -111 - -117. Calculate the remainder when (1 - -2)*(-15)/f is divided by w.
3
Let w = -136531 + 136696. Let q = -30 + 86. Calculate the remainder when w is divided by q.
53
Suppose 123 = -19*y + 18*y. Calculate the remainder when 77 is divided by y/(-9)*(4 + -1 - 0).
36
Calculate the remainder when (-213202)/(-484) + (-10)/(-4) is divided by 27.
11
Let m(r) = 39*r - 574. What is the remainder when 534 is divided by m(16)?
34
Let h(z) = -3*z - 32. Let w be h(-6). Let x = -18 - w. Let l(a) = -37*a + 1. Calculate the remainder when l(x) is divided by 38.
35
Suppose 0 = -2*d - 932 + 1100. Suppose 282 - d = 9*s. Calculate the remainder when 39 is divided by s.
17
Let t(a) = -a**2 - 9*a - 5. Let z be t(-1). Suppose -14*l + z*l = -1716. What is the remainder when l is divided by 23?
18
Suppose -15*q + 59 = -1531. What is the remainder when 177 is divided by q?
71
Let s be 8 + (-12 - -3) + 8. Let n(f) = 32*f - 75. Calculate the remainder when n(s) is divided by 30.
29
Let k(l) = -2*l**2 + 14323 - 7211 - 7168 + 31*l. What is the remainder when 121 is divided by k(13)?
4
Suppose -111 = -4*y + 201. Suppose -r = -4*a - 45, -4*r + 3 = -1. Let j = y + a. Calculate the remainder when j is divided by 10.
7
Let t = -5 - -2. Let j be (-23)/t + 19/57. Suppose r = -j*r + 342. What is the remainder when 111 is divided by r?
35
Let x(r) = r**2 + 105*r - 2465. Calculate the remainder when 385 is divided by x(20).
0
Suppose 4*u = -q + 1420 + 3882, 5*u = 4*q + 6617. What is the remainder when u is divided by 17?
16
Suppose 6*h + 44 = 422. Suppose 5*d - 2*f - 69 = 0, 6*d - 10*d - f + h = 0. What is the remainder when 15 is divided by d?
0
Suppose -5*k + 0*k - 3*x = -1823, -360 = -k + 4*x. Suppose o = 4*o - 3*r - 360, r + k = 3*o. Calculate the remainder when o is divided by 62.
60
Let c = 6166 - 5477. What is the remainder when c is divided by 298?
93
Suppose -2*o = -8, 3*t + 4*o - 328 = 6*o. Let s = 150180 + -149950. What is the remainder when s is divided by t?
6
Let a = 6977 + -6965. Let d be 16/7 - (-2)/(-7). Suppose 3*j = 2*n + 110, 84 = d*j - 6*n + 2*n. Calculate the remainder when j is divided by a.
10
Suppose 162*j + 85*j - 1702579 = 1383192. What is the remainder when j is divided by 147?
145
Let i(n) be the first derivative of 9*n**2/2 - 17*n - 507. Suppose 3 = -4*z + 19. What is the remainder when 35 is divided by i(z)?
16
Suppose 3*k = 3*l - l - 36, -90 = -5*l + 4*k. Let s = 29 + -96. Let w = -35 - s. What is the remainder when w is divided by l?
14
Let l be 6/(-15) + -27*(-2)/10. Let a(b) = -11 + 6*b**2 - l*b**2 - 2*b + 14. What is the remainder when 53 is divided by a(-3)?
17
Let r(o) = -515*o + 1510. Let n(b) = -47*b + 137. Let d(c) = -45*n(c) + 4*r(c). What is the remainder when d(8) is divided by 6?
3
Suppose -3506 = -3*v - 5*r, -3*v + 32*r + 3521 = 34*r. Calculate the remainder when v is divided by 118.
115
Let n = -6963 - -7262. Calculate the remainder when n is divided by 109.
81
Let b = 87 - 547. Let u = -415 - b. Calculate the remainder when 76 is divided by u.
31
Suppose 4*s - 5*h - 40 = -2*h, 0 = -s - 2*h + 10. Let f = -138 + 140. Suppose f*y = s*y - 360. What is the remainder when 177 is divided by y?
42
Suppose -62*q = -57*q - 195. Suppose w = 1 + 4. Let l = 15 - w. Calculate the remainder when q is divided by l.
9
Let u(q) = 6*q + 14. Let i = 8 + -6. Suppose -4*b = i*m - 2*b - 18, -4*b + 20 = 0. What is the remainder when u(m) is divided by 10?
8
Let c(a) = 31*a - 269. Calculate the remainder when 501 is divided by c(11).
69
Let w(i) = -282*i + 2224. Calculate the remainder when w(-89) is divided by 33.
31
Let y be (-56)/10 - (-544)/340. Let h(u) = u**3. Let k(o) = -7*o**3 + o**2 + 3. Let q(z) = 6*h(z) + k(z). What is the remainder when q(y) is divided by 14?
13
Suppose 8*g + 2*g = 230. Suppose -g = -3*i - 2. What is the remainder when 113/5 - (-3 + (-72)/(-20)) is divided by i?
1
Suppose 4*c = 3*c - 2*n - 10, -23 = 3*c - n. Let v(j) = -j**3 - 6*j**2 + 5*j - 14. Calculate the remainder when v(c) is divided by 16.
10
Let z(u) = 151*u + 317. Suppose -5*i + 40 = -160. What is the remainder when z(0) is divided by i?
37
Let j(r) = 5*r**3 - r**2 + r + 9. Suppose 24 = 5*q - 61. Suppose 0 = q*d - 12*d - 15. Calculate the remainder when j(d) is divided by 36.
30
Let c(b) = b**3 + 19*b**2 - 50*b - 64. Let j = -111 + 90. What is the remainder when 321 is divided by c(j)?
9
Let a(g) = g**3 - 50*g**2 + 51*g - 97. Suppose 6*o - 3*o - 14 = 2*l, 2*l - 34 = -5*o. Suppose -o = 2*v - 4*v. What is the remainder when v is divided by a(49)?
0
Let w(u) be the third derivative of -u**5/60 - 17*u**4/24 + 10*u**3/3 + 4*u**2 + 6*u. Calculate the remainder when 323 is divided by w(-16).
35
Suppose 25*m - 2696 = 29. Calculate the remainder when m is divided by 13 + (3 - 1) + -1.
11
Let p = -6 - -8. Suppose 3*b - 37 = -3*a - 10, 4*b = 20. Calculate the remainder when a is divided by p.
0
Suppose 77*d + 3066 = 91*d. What is the remainder when d is divided by 77?
65
Let p = 336 - 196. Suppose -w - 13*w = -p. Calculate the remainder when 257 is divided by w.
7
Suppose 252 = -3*u + 3*x, 5*x - x + 8 = 0. Let v = -60 - u. What is the remainder when (-219)/(-6)*(-5 - -7) is divided by v?
21
Suppose y + 19 = 3*m, -4*m + 2*y + 30 = m. Suppose -4*j - 101 = -8*u + 5*u, 4*u - 113 = j. Calculate the remainder when u is divided by m.
3
Calculate the remainder when 86 is divided by (-20)/12 + (-5402)/(-111).
39
Suppose 3*u - 5*d - 67 = 0, 3*u - d + 50 = 109. Let k(x) = 7*x + 1. What is the remainder when u is divided by k(1)?
3
Let v(f) = 58*f + 1. Let k(l) = -8*l**3 - 9*l - 439 + 7*l**3 - 8*l**2 + 447. Calculate the remainder when v(1) is divided by k(-7).
15
Let p(q) = -q**2 + 5*q + 41. Let s be p(9). Suppose -2*b + 9 = -3*f, -5*b = s*f - 2 - 8. What is the remainder when (6/5)/(30/675) is divided by b?
0
Let o = 340 + -321. Suppose -6*h + 2*h = -444. Calculate the remainder when h is divided by o.
16
Let v(h) = 7*h**2 + 172*h + 170. Calculate the remainder when v(-32) is divided by 34.
32
Let o = -1513 - -2312. Calculate the remainder when o is divided by 20.
19
Suppose -t = -j - 3 - 15, -3*t + 4*j = -59. Let d(z) = z**2 - 7*z - 13. Let h be d(9). Suppose -h*m + 138 = -2*m. What is the remainder when m is divided by t?
7
Suppose -i + z + 221 + 5 = 0, -5*i + 1130 = 2*z. Suppose -5601
|
{
"pile_set_name": "DM Mathematics"
}
|
aller: 10 or u?
u
Suppose -188*y = -186*y + 228. Which is bigger: y or -111?
-111
Suppose 0 = 2*z + 2*o + 3 + 5, 2*o + 14 = -5*z. Let k be z/(-8) - 0/1. Do -7 and k have different values?
True
Let p be (-1)/(-2 - -6)*-8. Suppose -2*k - p = l, -26 = 3*l - 0*l - 4*k. Let f be (-69)/9 + (-2)/(-3). Which is smaller: f or l?
f
Let j(z) = z**3 + z**2 - z - 2. Let h be j(0). Let u = -23 - -25. Suppose 10 - 14 = u*g. Is g at most h?
True
Let x = 3 - 217. Which is smaller: -1/3 or x?
x
Suppose 5*a - 119 = -2*n - 2255, 436 = -a + 4*n. Which is smaller: a or -427?
a
Suppose -3*c - c + 8 = 0. Let r(f) = 3*f - 31. Let p be r(11). Suppose d + 0*d - 13 = -3*z, -p*z = -5*d + 14. Is c less than or equal to z?
True
Suppose -620 = r - 2*m, -888 - 1613 = 4*r - m. Is r at most as big as -625?
True
Suppose -4*n + 11 = -f, -3*n - 1 = 3*f - 28. Suppose -21 = -4*o - 5*b, 4*o - b - b = -14. Is f bigger than o?
True
Let x = 1309 - 1591. Which is greater: -284 or x?
x
Suppose -4*i - 2*m = -2 - 24, -36 = -4*i - 4*m. Which is smaller: i or -7?
-7
Suppose 5*v - b = -80, -3*v + 4*b = 9*b + 48. Is v less than 0.2?
True
Suppose 0*y = 5*y - 4*i - 10, 5*y - 10 = i. Let a(c) = c**3 - 45*c**2 - 47*c + 46. Let x be a(46). Which is greater: x or y?
y
Let k be 81*(-6 - (-28)/6 - -2). Is k <= 51?
False
Let p = 2679.851 + -2683. Let o = 0.149 + p. Let r = 0.05 + -4.05. Are o and r unequal?
True
Suppose 0 = -22*z + 48*z. Which is greater: 1/454 or z?
1/454
Let d(c) be the first derivative of c**4/4 + 8*c**3/3 - 3*c**2/2 - 8*c + 3. Let r be d(-8). Let j = 29 - r. Is j greater than or equal to 12?
True
Let w = 4 - 8. Let j be 6/2*(w - -5). Suppose -5*z + 40 = 4*p - 11, j*z = -p + 18. Is p bigger than 10?
False
Let u = 1 - 2. Let b = 0.25 - -0.09. Let c = -0.04 + b. Which is smaller: u or c?
u
Suppose 0 = 5*r, o - 2*r - 1 - 3 = 0. Let z be 3 + 5/20 + (-13)/4. Suppose -5*k + 1 + o = z. Is k greater than or equal to 2/19?
True
Let p = 547782/235 - 2331. Is p at most 0?
True
Let t = 169648/154718535 - 2/82959. Is 0 greater than or equal to t?
False
Let t = 0.42 + -0.1. Let r = t + -0.22. Is -3 equal to r?
False
Suppose -64 = -8*x - 8*x. Which is bigger: x or -62?
x
Let u = -17 - -22. Let v be -7 + 3 + 40/u. Is 14/5 less than or equal to v?
True
Let o be 6*(3 - 0 - 357/126). Let n = -24/23 + 1798/1679. Do n and o have the same value?
False
Let a = 34811/8188 - 3/2047. Let w = 8 + -4. Which is smaller: a or w?
w
Suppose -10 = 5*l, -2*l + 18 = 5*z - l. Is 23 < z?
False
Let h be (-1 - (-3624)/75) + -3. Let l = h - 44. Which is greater: l or -1?
l
Suppose -9 - 21 = -l. Suppose -6 = 4*t - 3*w + 54, -2*t = -w + l. Which is bigger: -13 or t?
-13
Suppose -3*n + 5 + 85 = 0. Let b be 32/n - 4/6. Which is smaller: b or -0.4?
-0.4
Let k = 19 + 40. Let l = -777/13 + k. Is l > -1?
True
Let r(s) = -2*s + 31. Let n be (4/6)/(10/180). Let g be r(n). Which is smaller: g or 3?
3
Suppose 78 = -5*i + 18. Do i and -10 have different values?
True
Let x(n) = n**3 - 6*n**2 - 4*n + 6. Let j be x(8). Suppose -20 - j = -2*h - 5*d, -h - 3*d = -62. Let u be h/21*(-2)/(-88). Are u and 0 unequal?
True
Let g = 21.8 + -22.8. Which is smaller: 303 or g?
g
Let a be (297/(-5) + 3)*(-25)/10. Which is smaller: a or 139?
139
Let p = -1 + -1. Let l = -2301.1 - -2301. Is p at least l?
False
Let s be ((-110)/(-11) + -15)*3/1227. Which is greater: s or -1?
s
Let z(r) = -16*r + 112. Let t be z(7). Which is smaller: 1/88 or t?
t
Let v be (6 + -5 + 0)/(-951). Is v greater than 1?
False
Let y = -0.34 + -0.06. Let s = 1 + 1. Suppose n = 5*z - 3, 0 = -s*n - z - 3 + 8. Which is greater: y or n?
n
Let o be ((-32)/28)/((-47)/(-9) + -5). Are 1/4 and o non-equal?
True
Suppose 7*z - 2*z = 10. Suppose -z = -f - 10. Suppose 54*k - 49*k = -3*g - 38, 2*g = 3*k. Is f < g?
True
Suppose -4*p - 39 = -35. Which is greater: 10/47 or p?
10/47
Suppose -892 = -5*l - 362. Suppose -3*j - l = x, -3*x - j - 530 = 2*x. Are -106 and x nonequal?
False
Let a be (1 - -5)*(-2)/(-4). Let y be ((-42)/(-12))/(3/(-48)). Let v = -51 - y. Is a less than v?
True
Let c be (4*3)/3 - 0. Let m(b) be the second derivative of b**5/20 - 5*b**4/12 + 2*b**3/3 + b**2 + 9*b. Let k be m(c). Which is smaller: k or 2/9?
2/9
Let l = -2.6 - 1.4. Let w = l - -13. Let n = w - 9. Is n bigger than 4/3?
False
Let a = 561 + -560.858. Is -1 at least as big as a?
False
Let c = 60248/13 + -4637. Let v = 216445 + -14069194/65. Let g = v - c. Which is greater: -3 or g?
g
Suppose 0 = -3*w - 3*t + 18, 0 = 5*w - 7*t + 6*t. Suppose -4*x + 20 = 0, -4*d = 3*x - 6*x + 47. Is w less than d?
False
Let h = 3715/2 - 1856. Let q = -9.8 + 12. Let u = q + -2. Are u and h equal?
False
Let s = 1733 - 1803. Which is smaller: s or -72?
-72
Let u(i) = -i**3 - 38*i**2 - 68*i + 147. Let a be u(-36). Let k = -4 - -7. Is k at least as big as a?
True
Let a = 7.645 + 2.345. Let k = 0.01 + a. Let i = k + -9.95. Which is smaller: i or 0.1?
i
Let k be ((-1)/68)/(6/(-425508)). Let r = k + -1043. Is -1 less than r?
True
Suppose -6*h - g = -h + 18, -3*h - g = 12. Which is smaller: h or -38/9?
-38/9
Let k = -44.75 - -45. Let r = k - -0.35. Is r >= -5?
True
Let t be 69/115 + ((-26)/(-40) - -1). Is t at most 1?
False
Let s = -241 + 228. Is -10 at least as big as s?
True
Let t = -3 - -3.1. Let k = 0.3 - t. Let x = -5681.8 + 5682. Is k greater than or equal to x?
True
Let b = 9 + -6. Let d be (-18)/(-4) + -1 + (-13)/(-26). Which is smaller: d or b?
b
Let d be (8/252*-1)/((-8)/20). Which is bigger: d or 0?
d
Let g = 22 + -27. Let f be (g - -12)*(4/1 - 3). Let b(v) = v**2 + 4*v + 6. Let m be b(-4). Which is smaller: m or f?
m
Suppose 0 = -2*v + 7*v - 15. Let g be v + (-25)/(-9) - 4. Which is bigger: g or 3?
3
Suppose 4*n = -2*g + 18 + 12, 2*n - 10 = 0. Let y be 24*(g + -2 + -2). Let c = y - 44. Is -20 at least c?
True
Suppose 0 = -0*x - x. Suppose x*y - 30 = y - 5*f, -2*y - f - 71 = 0. Let n be (2/(-20))/(14/y). Which is smaller: -6 or n?
-6
Let t be 20/22 + 20/220. Is t bigger than 165/7?
False
Let n be (-68)/16*(-3)/((-6)/(-8)). Let f = n + -1. Do f and 16 have the same value?
True
Suppose 0 = -27*v + 16*v + 16*v. Let l = -40/19 + 1421/684. Is v <= l?
False
Let l = 202 - 141. Let q = -163/2 + l. Let b = q + 21. Which is smaller: 1 or b?
b
Let l = 2003 - 1980. Which is bigger: l or 155/7?
l
Let v be (1 + 5)/(2*24/160). Which is smaller: 13 or v?
13
Let o = 407.59 + -412. Let g = -4.4 - o. Let l be 1/5*-3 - 0. Which is greater: l or g?
g
Suppose -15 = 5*u, -5*q - 10 + 1 = 3*u. Let k be (-12)/(-56)*(-2)/40. Let y = 79/56 + k. Is y greater than q?
True
Let q(s) = s**2 + 2*s + 5. Let f be q(-4). Let u(c) = -c**2 - 200*c + 10. Let z be u(0). Which is smaller: f or z?
z
Let p(g) = 4*g - 147. Let t be p(-27). Is -254 < t?
False
Suppose m + 404 = 5*m. Let c = m - 53. Let l be ((-10)/c)/(2/(-4)). Which is bigger: 0 or l?
l
Let c = 6.26 + -6. Let f = -1.933 + 0.193. Let r = f - c. Are -2 and r unequal?
False
Let c = 9 - 29. Let r(v) = -v**3 - 3*v**2 - 2*v + 1. Let g be r(-2). Which is bigger: g or c?
g
Let c(a) = -3*a + 29. Let w be c(9). Suppose 5*i - d - 5 - 9 = 0, -3*i - d = -w. Which is smaller: 4/5 or i?
4/5
Let c = -4313/3 + 1437. Is -20 > c?
False
Let h = 856 + -5976/7. Suppose -5*w = -4*w - 14. Suppose 3*k - 23 = 2*l + 2*l, 4*k - 2*l - w = 0. Which is smaller: h or k?
k
Suppose 14*f + 3026 = -2924. Which is smaller: -426 or f?
-426
Suppose 0 = -d - 5*k - 7, 3*d - 5*k = -4*k + 11. Is 17/7 greater than d?
False
Let k(m) = m**3 - 6*m**2 - 15*m - 7. Let b be k(8). Suppose 0 = 2*g - 4*j + 12 - 0, 2*j = 5*g + 22. Let c be 0/2 + g/(-6). Is b at least c?
True
Let r be (-4 + 0)/(435/522 + (-2)/6). Suppose -3*i = -3*g, -6*i + 2*i = 2*g - 12. Which is bigger: r or g?
g
Suppose 387 = -45*t + 2*t. Which is smaller: t or -3/5?
t
Let r = 52 + -73. Let c be 15/r + 2/(-7). Let o = 3711/10 + -371. Are c and o unequal?
True
Let v(g) = -g**3 - 6*g**2 + 7*g + 4. Let a be v(-7). Suppose 5*c + a*m - 30 = 0, 0*c - 5*m + 21 = -2*c. Let q = 469 - 5153/11. Which is bigger: c or q?
c
Let n = 328 + -332. Which is greater: 1/309 or n?
1/309
Let l be 155/(-225) - 28/(-35). Which is bigger: l or -0.18?
l
Let c = -45.5949 + -0.2451. Let d = c - -46. Is -1 greater than d?
False
Let i = -0.45 + 0.75. Is i smaller than 24?
True
Let l = 267 - 338. Is l != -71?
False
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
b(q). Calculate v(6).
0
Let q(o) = -o**3 - o**2 - 1. Suppose -2*z = -4*j - 3*z - 17, 0 = 2*z + 10. Let a(b) = -b - 3. Let p be a(j). Calculate q(p).
-1
Let g(d) = -2*d - 4. Suppose -3*z - 30 = -2*m - 5, 4*z + 45 = 5*m. Determine g(m).
-14
Let o(v) = 7*v**2 + v - 1. Suppose 3*q - 42 = -3*s + 4*s, -4*s - 3*q - 123 = 0. Let j be (-18)/(-22) - 6/s. Determine o(j).
7
Let f(d) = 0*d**2 - 1 - 6*d**2 - 2*d + d. Calculate f(-1).
-6
Let d = 24 + -7. Suppose -2*u = -u + v + 2, v = 4*u - d. Let p(s) = s**3 - 4*s**2 + 3*s + 1. Calculate p(u).
1
Suppose -2*w = -5*j - 0*w + 36, -5*j + 3*w + 39 = 0. Suppose -2*x - j = -4*x. Let z(u) = -u**2 - u + 2*u**2 - 3*u. Determine z(x).
-3
Let g(h) be the second derivative of -h**4/12 - h**3/6 - h**2/2 - 2*h. Let w be g(-1). Let x(p) = -8*p**3 + p. Determine x(w).
7
Let l(p) = 7*p - 111*p**2 + 0 - 2 + 110*p**2. What is l(3)?
10
Suppose -3 = 3*i - 3*a, 2 = 3*i + 2*a + 5. Let r(x) = 0*x**3 - x**3 + 1 + 2*x**3 - x**2. Calculate r(i).
-1
Let h(j) = j**2 + 8*j + 8. Let u = -11 - -4. Let m be h(u). Let p(k) = -12*k**2. What is p(m)?
-12
Let j = 2 + 0. Suppose -1 - j = m. Let b(t) = -t**2 - 3*t - 3. Determine b(m).
-3
Let x be 32/20*10/4. Suppose -2*z + 2*k - 3*k = 0, -x*k = 0. Let p(u) = -u + z*u + 2*u. Determine p(0).
0
Let w(i) = 7*i**3. Suppose 3*v = 2*d + 3*d - 8, -2*d = -2. Give w(v).
-7
Suppose 4*y - 16 = -4*a, 2*a - 3 = a - 2*y. Suppose d + 4 = a*d. Let k(c) = -c - 2 + 0*c + d + 0. Give k(-2).
1
Let t(r) = -r**2 - 3*r + 3. Suppose 0 = -2*j + j + 2. Determine t(j).
-7
Suppose -j = -5*j - 4*f + 8, 0 = 4*j + f - 17. Let d(p) = -3 - 2*p**2 + 0 - 4*p + 3*p**2. Give d(j).
2
Suppose 0 = 4*k - 2*k + 8, 5*t + k = 16. Suppose q + 2 = t. Let a(i) = 0 + q*i**2 - 4 + 5 - 7*i**2. What is a(-1)?
-4
Let p(m) be the second derivative of -m**5/20 - m**3/6 - m**2 - 3*m. What is p(0)?
-2
Let c(i) be the third derivative of -3*i**6/40 + i**5/30 - i**3/6 - 7*i**2. Calculate c(1).
-8
Suppose -6*y = -y + 25, 20 = 2*i - 2*y. Let a(r) = r**3 - 6*r**2 + 4*r + 5. Determine a(i).
0
Let j(a) be the first derivative of -a**3 - a**2 - a - 17. Calculate j(-1).
-2
Let u(o) = -3*o + 1. Let h(v) = -4*v. Let a(p) = 5*h(p) - 6*u(p). What is a(-4)?
2
Let j(a) be the first derivative of a**5/20 + a**4/3 - a**3/6 - 2*a**2 - 2*a + 3. Let r(i) be the first derivative of j(i). What is r(-4)?
0
Let q(u) = -7*u - 3 + 10*u**2 - 68*u**3 + 67*u**3 - 5. Determine q(9).
10
Let j(x) = x**3 - 5*x**2 + x. Suppose -o - 20 = -5*c, -c + 2*o + 28 = -3*o. Suppose 2*f + 19 = 5*h, h = 2*f - c*f + 8. Give j(h).
5
Let m(h) = -3*h - 1. Let x be m(0). Let g(s) = -5*s**2 - s - 1. Calculate g(x).
-5
Let s(g) = -g**3 - 5*g**2 + 3*g - 6. Suppose 4*r - 2 = -y, 0*y = 2*y - 3*r + 18. Give s(y).
12
Let f be 4/(-10) - (-6)/(-10). Let z = -3 + 5. Let q(x) = x + x - 2*x + 3*x**z - 1. Determine q(f).
2
Let o be (25/(-10))/((-2)/4). Let q(t) = 26*t - 13*t - 15*t + 1. What is q(o)?
-9
Let s(f) = -1 + 25*f**2 + 3 + 4*f - 23*f**2. Give s(-2).
2
Let s(y) be the third derivative of y**4/24 + y**3/3 - 10*y**2. What is s(-6)?
-4
Let u(r) = 3*r - 3*r + 0*r + r. Let b(t) = -t**3 - 6*t**2 - 4*t + 1. Let h be b(-5). What is u(h)?
-4
Let d be (-12)/(-9)*(-9)/2. Let m(u) = 7*u**3 + u**2 + 5*u - 8. Let j(w) = -15*w**3 - w**2 - 10*w + 16. Let v(y) = -6*j(y) - 13*m(y). Calculate v(d).
2
Let p(g) be the third derivative of -g**6/120 + g**5/20 + 5*g**4/24 - g**3/6 - g**2. Let k be (-3 - 1)*(1 - 2). Give p(k).
3
Let j(i) be the second derivative of i**4/12 - 2*i**3/3 + 2*i**2 - 2*i. Let b(n) = n**3 - 2*n**2 + 4. Let g be b(2). Calculate j(g).
4
Let q(g) = 5*g**3 + 6*g**2 + 7. Let n(w) = w**3. Let o(b) = -4*n(b) + q(b). Give o(-6).
7
Let y = 3 + 1. Let r = y + -7. Let p(n) = 5*n**3 + 4*n**2 - 3*n - 6. Let q(z) = 4*z**3 + 3*z**2 - 2*z - 5. Let i(s) = -5*p(s) + 6*q(s). Give i(r).
0
Let f(m) = -m - 9. Suppose 0 = l + 2 - 7. Let s be 6 + 5 + 4/(-4). Suppose -3*a = l + s. What is f(a)?
-4
Let l(j) = -j**3 + 10*j**2 - 10*j + 4. Suppose -25 - 47 = -8*t. Determine l(t).
-5
Let h(z) be the third derivative of -z**5/10 - z**4/24 - z**3/3 + z**2. Let k(y) be the first derivative of h(y). What is k(-1)?
11
Let l(v) = -v**3 - 6*v**2 + 1. Suppose 4*p + 4*n = -28, p + 3*n - 4*n = -5. Let x be l(p). Let m(b) = 4*b**3 - 2*b**2 + 2*b - 1. What is m(x)?
3
Let l(c) = -2*c + 5*c**2 - c - c**2. Let k = -53 - -55. Calculate l(k).
10
Let l(p) = -212 + 212 - p**3 + p**2 + 0*p**3. Determine l(1).
0
Let c(d) = 3*d**2 - d - 9. Let v(z) = -z**2 + z - 1. Let a(t) = -c(t) - 2*v(t). Let m(w) = w**3 - 2*w + 1. Let j be m(1). What is a(j)?
11
Suppose 2*c = -5*j + 10, 5*c + 4 = 3*j + 29. Let s(o) = 2*o - 4*o + 4*o - c + o. Let n(y) = y + 1. Let q be n(3). What is s(q)?
7
Let w(f) = -f**3 - 6*f**2 - 4*f + 6. Suppose 0 = 9*h - 7*h + 6. Let b = -8 - h. Determine w(b).
1
Suppose -2*i = 5*t + 32, t - 2*i + 9 = -5*i. Let p(u) = -u**2 - 8*u - 8. What is p(t)?
4
Let w(v) = -v**3 - 5*v**2 - 5*v - 2. Suppose 22 = -5*z - o, 0 = -3*o - 7 + 1. Determine w(z).
2
Let k(t) = 2*t - 6. Let i = -11 - -31. Suppose 0*x = -3*p - 4*x + 2, -i = -4*p - x. Calculate k(p).
6
Let w(i) be the third derivative of i**5/60 - 5*i**4/24 + i**3/6 + i**2. Suppose 0 = -159*l + 150*l + 54. Give w(l).
7
Let y(p) be the third derivative of p**4/12 - p**3/6 - 15*p**2. What is y(-3)?
-7
Let j(x) = -x**3 + 13*x**2 + 2*x - 18. Let y be j(13). Let d(g) = -3*g + 25. Let c(m) = 2*m - 17. Let i(q) = y*c(q) + 5*d(q). Determine i(0).
-11
Suppose h + 3*h - 2*f = 16, 2*h + 3*f - 24 = 0. Suppose 2*c = -3*i - 7, 0 = -i - c - h + 5. Let o(v) = -v**2 - 5*v - 1. Give o(i).
-1
Let v(t) = -3 + 3*t - 1 + 1 - 2*t. Suppose 3*n + 5*l = 25, 16 = 4*n - 0*l - 2*l. Give v(n).
2
Suppose 4*z = -2*b + 5*z + 11, 5*b + 5*z - 35 = 0. Let w(q) = -5*q - 1. Let s(a) = 12*a + 2. Let t(k) = 2*s(k) + 5*w(k). Give t(b).
-7
Suppose -2*i + 36 = 2*i. Let d(u) = -2*u + 11. Give d(i).
-7
Let l(o) = o. Let q = 0 - -5. Suppose 0 = 2*y - q*f - 7, -6*f = y - 5*f - 7. Let s(p) = 7*p + 1. Let b(t) = y*l(t) - s(t). Determine b(-4).
3
Let c(s) be the third derivative of -s**6/120 + s**5/12 - s**4/8 - s**3/3 - 7*s**2. Determine c(5).
-17
Suppose 4*i + 5*y + 1 = 0, 0*y = -4*i - 3*y + 1. Let n be (-6)/(-2) + -2*i. Let j(l) = -8*l + n + 7*l + 2*l. What is j(-2)?
-1
Suppose -6 = -0*r - 2*r. Let j be (-4)/(-8)*(r - -1). Let i = 7 - j. Let c(f) = -f**3 + 6*f**2 - 3*f - 4. Calculate c(i).
6
Suppose -2*j + 5*r = -34, 0*j + j - 15 = 2*r. Let w be 2/j - 46/14. Let n(o) = -3*o + 0*o + 13 + 2*o - 10. What is n(w)?
6
Let d(s) be the third derivative of -s**6/120 + s**5/12 - s**4/24 - s**3/2 - 20*s**2. What is d(4)?
9
Let o(x) = x**2 + 10*x + 9. Let k be o(-8). Let y(a) = -6*a**2 - 1. Let f(n) = -11*n**2 - 2. Let q(v) = k*y(v) + 4*f(v). Give q(2).
-9
Let x(z) be the third derivative of z**5/60 + z**4/6 - z**3 + 7*z**2. Let o = 9 + -14. Let y = o - 0. Determine x(y).
-1
Suppose 2*r = -3 - 5. Let u(w) = -2*w**2 - 12*w - 3. Let y(j) = -2*j**2 - 11*j - 2. Let v(s) = -6*u(s) + 7*y(s). Calculate v(r).
-8
Let s be (-4)/2 + 4 + (0 - 0). Let k(a) be the first derivative of a**2/2 - 2*a - 2. Calculate k(s).
0
Let j(m) = -2*m + 1. Let y(z) = -z**3 - 3*z**2 + 1. Let d be y(-1). Let b be j(d). Let q(a) be the second derivative of a**3/3 + 3*a**2/2 - 2*a. Calculate q(b).
9
Let t(r) = r**3 + 4*r**2 - 5*r + 3. Let y(p) = 2 - 2 + 1 - 3*p. Let b be y(-4). Suppose 6 = -2*j + w, 4*j + b = 3*w + 5. What is t(j)?
3
Let m(q) be the second derivative of -q**7/2520 - q**6/144 + 7*q**5/120 - 5*q**4/12 - 4*q. Let o(g) be the third derivative of m(g). What is o(-5)?
7
Let p(b) = -15*b - 7*b + 8*b. What is p(1)?
-14
Let w(v) = -v**2 - 7*v + 9. Let h(m) = -8*m**2 + 2*m + 2. Let i be h(-1). Determine w(i).
1
Suppose 0 = u - 2*u - 3*n + 3, -4*n = -5*u - 42. Let f = -31 - -37. Let q(i) = -2 - 3*i**3 + 0*i - 4 + 4*i**3 - f*i + 5*i**2. Calculate q(u).
-6
Let t = -2 - -2. Let k(x) = 7*x**2 - 2*x + t*x**2 + 3*x - 1. Let i(v) = v**2 + 9*v + 1. Let r be i(-9). Calculate k(r).
7
Suppose 2*d + d + 12 = 0. Let w(j) = 6*j**2 + 5. Let b(g) = -g**2 + g. Let h(v) = 5*b(v) + w(v). Calculate h(d).
1
Let g(c) = -20*c + 27*c - 1 + 2 + 0*c**2 - c**2. What is g(7)?
1
Let n(j) = 4*j + 8*j**2 - 2*j**2 - 7*j**2. Suppose -g + 5 = -3*b, 5*g - 18 - 7 = -2*b. Determine n(g).
-5
Let h be ((-12)/(-36))/(1/6).
|
{
"pile_set_name": "DM Mathematics"
}
|
m of 64044, 256220, 576518, 1024938, 1601480?
64061*y**2 - 7*y - 10
What is the o'th term of 277, 741, 1599, 3079, 5409, 8817?
38*o**3 - 31*o**2 + 291*o - 21
What is the r'th term of 1868, 325, -8024, -26581, -58748?
-567*r**3 - r**2 + 2429*r + 7
What is the y'th term of 7142469, 7142468, 7142467?
-y + 7142470
What is the b'th term of -41436428, -82872867, -124309314, -165745769, -207182232, -248618703?
-4*b**2 - 41436427*b + 3
What is the h'th term of -696609, -696818, -697149, -697596, -698153, -698814, -699573, -700424?
h**3 - 67*h**2 - 15*h - 696528
What is the m'th term of -128032, -127983, -127944, -127921, -127920, -127947, -128008, -128109?
-m**3 + m**2 + 53*m - 128085
What is the j'th term of 434, 381, -230, -1399?
-279*j**2 + 784*j - 71
What is the v'th term of -7112, -31567, -72334, -129419, -202828, -292567, -398642?
-v**3 - 8150*v**2 + 2*v + 1037
What is the v'th term of 2555, 2698, 2921, 3212, 3559, 3950, 4373?
-2*v**3 + 52*v**2 + v + 2504
What is the i'th term of 831073, 831091, 831111, 831133, 831157?
i**2 + 15*i + 831057
What is the z'th term of 141108, 278008, 414910, 551814, 688720?
z**2 + 136897*z + 4210
What is the i'th term of -10909, -24883, -62809, -136663, -258421, -440059, -693553, -1030879?
-1996*i**3 - 2*i - 8911
What is the s'th term of -5636699, -11273450, -16910201?
-5636751*s + 52
What is the j'th term of -333399, -1333389, -3000041, -5333355, -8333331?
-333331*j**2 + 3*j - 71
What is the r'th term of 42121, 171273, 387457, 690673, 1080921?
43516*r**2 - 1396*r + 1
What is the m'th term of 32064, 64107, 96150, 128193, 160236, 192279?
32043*m + 21
What is the h'th term of 45494, 45859, 46228, 46601, 46978, 47359, 47744?
2*h**2 + 359*h + 45133
What is the y'th term of 343147, 343122, 343097, 343072?
-25*y + 343172
What is the d'th term of -80437, -154998, -229559, -304120, -378681?
-74561*d - 5876
What is the a'th term of -47683, -54671, -61659, -68647?
-6988*a - 40695
What is the b'th term of 52, -2650, -10236, -25148, -49828, -86718, -138260?
-407*b**3 + 147*b + 312
What is the j'th term of 11610291, 11610288, 11610285, 11610282, 11610279, 11610276?
-3*j + 11610294
What is the t'th term of -537918, -537905, -537890, -537873, -537854, -537833?
t**2 + 10*t - 537929
What is the o'th term of -1780, -39, 5230, 14027, 26352, 42205, 61586?
1764*o**2 - 3551*o + 7
What is the i'th term of 5744, 5200, 4656, 4112, 3568, 3024?
-544*i + 6288
What is the z'th term of -43312935, -43312930, -43312925, -43312920?
5*z - 43312940
What is the m'th term of 161138, 644940, 1451278, 2580152, 4031562?
161268*m**2 - 2*m - 128
What is the a'th term of -55711, -55112, -54511, -53908, -53303, -52696?
a**2 + 596*a - 56308
What is the r'th term of -45, 66, 297, 690, 1287, 2130, 3261, 4722?
7*r**3 + 18*r**2 + 8*r - 78
What is the r'th term of 33607, 70373, 107139?
36766*r - 3159
What is the p'th term of -20926, -20860, -20694, -20380, -19870, -19116, -18070?
8*p**3 + 2*p**2 + 4*p - 20940
What is the m'th term of 12426, 23248, 34070, 44892, 55714?
10822*m + 1604
What is the h'th term of 6325822, 6325817, 6325812, 6325807, 6325802?
-5*h + 6325827
What is the a'th term of -19031, -43699, -84803, -142337, -216295, -306671, -413459, -536653?
a**3 - 8224*a**2 - 3*a - 10805
What is the c'th term of 3348, 3300, 3164, 2898, 2460, 1808?
-7*c**3 - 2*c**2 + 7*c + 3350
What is the k'th term of -25843, -104145, -234641, -417325, -652191, -939233?
k**3 - 26103*k**2 + 259
What is the y'th term of -5877, -12078, -18941, -26796, -35973, -46802, -59613?
-55*y**3 - y**2 - 5813*y - 8
What is the y'th term of -1757, -9201, -22371, -41267?
-2863*y**2 + 1145*y - 39
What is the l'th term of 2674257, 2674281, 2674307, 2674335?
l**2 + 21*l + 2674235
What is the u'th term of 54249, 55282, 56313, 57342, 58369?
-u**2 + 1036*u + 53214
What is the g'th term of 4507, 36138, 122011, 289252, 564987, 976342?
4521*g**3 - 5*g**2 - g - 8
What is the f'th term of 3593, 6602, 9619, 12644, 15677, 18718?
4*f**2 + 2997*f + 592
What is the n'th term of 18747, 37679, 56595, 75489, 94355, 113187, 131979?
-n**3 - 2*n**2 + 18945*n - 195
What is the k'th term of -1016249785, -2032499570, -3048749355, -4064999140, -5081248925?
-1016249785*k
What is the i'th term of -121159469, -242318943, -363478417, -484637891, -605797365?
-121159474*i + 5
What is the l'th term of 23943549, 23943550, 23943551, 23943552, 23943553?
l + 23943548
What is the t'th term of -2507768, -5015537, -7523306, -10031075, -12538844, -15046613?
-2507769*t + 1
What is the l'th term of 384854, 384876, 384912, 384962, 385026, 385104?
7*l**2 + l + 384846
What is the g'th term of 135806135, 271612270, 407418405, 543224540, 679030675, 814836810?
135806135*g
What is the c'th term of -9182, -16103, -23002, -29867, -36686, -43447?
2*c**3 - c**2 - 6932*c - 2251
What is the p'th term of -55455, -55388, -55333, -55290, -55259?
-6*p**2 + 85*p - 55534
What is the n'th term of -110, 605, 1782, 3409, 5474, 7965, 10870, 14177?
-2*n**3 + 243*n**2 - 351
What is the n'th term of -275627189, -275627196, -275627207, -275627222, -275627241, -275627264, -275627291?
-2*n**2 - n - 275627186
What is the u'th term of 120323770, 240647540, 360971310, 481295080?
120323770*u
What is the w'th term of -815439, -3261735, -7338859, -13046781, -20385471, -29354899, -39955035, -52185849?
5*w**3 - 815444*w**2 + w - 1
What is the g'th term of -55638, -111230, -166756, -222210, -277586, -332878, -388080, -443186?
g**3 + 27*g**2 - 55680*g + 14
What is the v'th term of -396, -393, -336, -183, 108, 579, 1272, 2229?
7*v**3 - 15*v**2 - v - 387
What is the s'th term of -9358, -76275, -257910, -611623, -1194774, -2064723, -3278830?
-9560*s**3 + s**2 + 201
What is the h'th term of 1535, 1919, 2237, 2489, 2675, 2795?
-33*h**2 + 483*h + 1085
What is the l'th term of -35135, -66618, -98101, -129584, -161067, -192550?
-31483*l - 3652
What is the l'th term of -7, 155, 431, 827, 1349, 2003, 2795, 3731?
l**3 + 51*l**2 + 2*l - 61
What is the o'th term of -92004, -367802, -827390, -1470768, -2297936?
-91895*o**2 - 113*o + 4
What is the m'th term of -24, -670, -2430, -5862, -11524, -19974, -31770, -47470?
-93*m**3 + m**2 + 2*m + 66
What is the k'th term of -437500, -1749851, -3937054, -6999109?
-437426*k**2 - 73*k - 1
What is the q'th term of -1216909, -1216906, -1216903, -1216900?
3*q - 1216912
What is the b'th term of 31173, 124802, 280841, 499284, 780125, 1123358, 1528977, 1996976?
-b**3 + 31211*b**2 + 3*b - 40
What is the y'th term of -6715504, -6715501, -6715498, -6715495, -6715492, -6715489?
3*y - 6715507
What is the m'th term of -6832, -27424, -61742, -109786?
-6863*m**2 - 3*m + 34
What is the u'th term of -3517066, -3517126, -3517190, -3517258, -3517330, -3517406, -3517486?
-2*u**2 - 54*u - 3517010
What is the v'th term of -9243800, -9243786, -9243786, -9243806, -9243852, -9243930, -9244046, -9244206?
-v**3 - v**2 + 24*v - 9243822
What is the p'th term of 78831, 78843, 78853, 78861, 78867, 78871?
-p**2 + 15*p + 78817
What is the k'th term of 788, 3574, 8218, 14720, 23080?
929*k**2 - k - 140
What is the h'th term of 61888, 62033, 62178?
145*h + 61743
What is the s'th term of 1900780, 1900787, 1900806, 1900843, 1900904?
s**3 + 1900779
What is the d'th term of 2811890, 5623857, 8435824?
2811967*d - 77
What is the r'th term of -7187591, -7187873, -7188167, -7188479, -7188815, -7189181, -7189583?
-r**3 - 275*r - 7187315
What is the k'th term of 6499049, 12998099, 19497149?
6499050*k - 1
What is the s'th term of -5967, -5595, -4949, -4005, -2739?
4*s**3 + 113*s**2 + 5*s - 6089
What is the w'th term of 1258, 11328, 38664, 91900, 179670, 310608, 493348?
1439*w**3 - w**2 - 180
What is the q'th term of -6972, -55396, -186836, -442800, -864796, -1494332, -2372916?
-6918*q**3 + 2*q - 56
What is the t'th term of -2155, -3818, -5541, -7330, -9191?
-t**3 - 24*t**2 - 1584*t - 546
What is the d'th term of 19614637, 39229277, 58843917?
19614640*d - 3
What is the q'th term of -25987464, -25987462, -25987460, -25987458, -25987456?
2*q - 25987466
What is the v'th term of 14675526, 14675528, 14675530, 14675532, 14675534?
2*v + 14675524
What is the x'th term of 656, 1856, 3934, 6890, 10724, 15436, 21026?
439*x**2 - 117*x + 334
What is the b'th term of -3432, -3492, -3550, -3606, -3660, -3712
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to 0.1? (a) -2/7 (b) 13/2 (c) 0.2
c
Which is the closest to -0.15? (a) -2 (b) -0.7 (c) 0.2
c
Which is the nearest to -19.9? (a) 1/3 (b) -5 (c) -0.4
b
Which is the closest to -2/5? (a) -5 (b) 2 (c) -30 (d) 0.4
d
Which is the closest to 0? (a) 4 (b) 0.4 (c) -0.5 (d) -11
b
What is the nearest to -2/5 in 0.03, 0.2, -0.4, 0.4?
-0.4
Which is the nearest to -0.1? (a) -7 (b) -0.2 (c) -0.1 (d) -2
c
What is the closest to 0.5 in -3, 0.4, 3/4, 5?
0.4
What is the nearest to 1 in 75, -4, -5?
-4
What is the nearest to 0.04 in 1/3, 0.4, -4?
1/3
What is the nearest to 0.5 in -5, 2/5, 0.1?
2/5
Which is the nearest to 6? (a) 1 (b) -5 (c) -1/3 (d) -1/8
a
Which is the closest to -1/4? (a) -2 (b) -4 (c) -1/10 (d) -5
c
What is the nearest to -1/4 in 3, -2, -1, 127?
-1
What is the nearest to 3 in -15, 1/5, 2, 3?
3
What is the nearest to -0.1 in -0.1, 0, 5?
-0.1
What is the nearest to -499/2 in 4, 0.2, 5?
0.2
Which is the closest to 0.2? (a) -0.2 (b) -2/15 (c) 8/5 (d) -5
b
What is the nearest to 1/8 in 4, 0.17, 2/5?
0.17
What is the nearest to -2/5 in 4, -0.2, 0.2, 1?
-0.2
What is the closest to 0.122 in 4/9, 0.2, 4?
0.2
What is the closest to 3/4 in 7, -2/9, 5, 0?
0
Which is the closest to 0? (a) 9 (b) 2/3 (c) 0.5
c
What is the nearest to 1/10 in -1, -8/7, -2/13, 4?
-2/13
What is the closest to 0.1 in -2, -2/7, 261/4?
-2/7
Which is the closest to 0.3? (a) -840 (b) 0.5 (c) -1 (d) 2/11
d
Which is the closest to -30/11? (a) -0.2 (b) -0.3 (c) -4
c
Which is the closest to -1.9? (a) -3 (b) -55 (c) 3
a
Which is the nearest to 2/3? (a) 0.03 (b) 1/2 (c) 2 (d) -4/5
b
Which is the closest to -7? (a) 0.3 (b) 0.1 (c) -0.098
c
What is the closest to 1 in 2/11, 0, -2.26?
2/11
Which is the nearest to 1? (a) -81 (b) 0 (c) -2/3 (d) -0.4
b
Which is the nearest to -3/13? (a) 0.4 (b) 0.5 (c) 3
a
What is the nearest to 4 in -1/6, 0, 9, -4?
0
Which is the nearest to -0.1? (a) 2/15 (b) 5 (c) -0.3 (d) 0.2
c
What is the closest to -16 in 4, 2/7, 5, -3?
-3
What is the closest to 2 in -0.5, -4, -6/5?
-0.5
What is the closest to -1/2 in 1/3, -5, 0.04, -0.04?
-0.04
What is the closest to 4/5 in 5, -7, 2?
2
Which is the closest to -2? (a) -10 (b) 0 (c) -2/11
c
What is the nearest to 0.6 in 0.035, -4, 0.2, -0.4?
0.2
Which is the closest to 508? (a) -0.2 (b) -3/2 (c) -3
a
What is the closest to -2/23 in -0.1, 4, -6?
-0.1
Which is the nearest to 0? (a) -1.6 (b) -15 (c) -2
a
Which is the nearest to 1? (a) 2/9 (b) 0 (c) -2/51 (d) -2
a
Which is the closest to 2? (a) -2/9 (b) 4 (c) 5
b
What is the closest to 1 in -5, -2/15, 2/3, -1/7?
2/3
Which is the nearest to 14.6? (a) 1/4 (b) 1/2 (c) 1 (d) 0.3
c
What is the nearest to -1/14 in 5/4, -0.09, 0?
-0.09
Which is the nearest to 0? (a) -3/7 (b) 3 (c) -1/6
c
What is the nearest to -12 in -2/15, 0.3, 1, -0.1?
-2/15
Which is the closest to 0.06? (a) -23/41 (b) 2 (c) 5
a
Which is the nearest to 2? (a) 0.07 (b) -0.13 (c) 1/7
c
What is the closest to 0.1 in 3, -5, 11?
3
What is the nearest to -128 in 2, 1/2, 2/9?
2/9
What is the closest to 0.2 in 0.2, -5, -3/8, 1/9?
0.2
What is the nearest to 0.1 in -1/3, 2/5, 210?
2/5
What is the nearest to 0.01 in -1, 2/7, -0.0163?
-0.0163
Which is the closest to 0.04? (a) -1.1 (b) -2/11 (c) 4
b
Which is the nearest to -248? (a) 0 (b) 0.3 (c) 0.2
a
Which is the closest to -1? (a) 4/7 (b) 0.2 (c) -5
b
Which is the closest to 5? (a) -2/13 (b) -0.1 (c) -2/7 (d) -0.21
b
What is the nearest to -13 in 2, -2, 58/5?
-2
What is the closest to 2/5 in -4, 3/13, -2/15?
3/13
Which is the nearest to -50? (a) 0.2 (b) 8 (c) 1/2 (d) 3
a
Which is the closest to 1? (a) 1/5 (b) -3/7 (c) -8
a
What is the closest to -17 in -3, -4, -0.08?
-4
What is the closest to 2/5 in 28, -1, 2/3, 1/2?
1/2
Which is the nearest to -0.2? (a) -1 (b) -6/5 (c) 1 (d) 6
a
What is the nearest to -1/5 in -10, -2/9, 5, -5?
-2/9
What is the closest to -3/5 in -22, -0.2, -2/3?
-2/3
Which is the closest to 1/70? (a) 1/3 (b) 2 (c) 1
a
What is the closest to -0.3 in 4, 2/7, -5?
2/7
Which is the closest to 0? (a) 2/5 (b) 0.3 (c) -39
b
What is the nearest to -6 in -5, 1/9, 0.3?
-5
Which is the nearest to -2/45? (a) 0 (b) 2/19 (c) -3
a
Which is the closest to 1? (a) -1/2 (b) 2/19 (c) 4
b
What is the nearest to -1/3 in 3, -31, -50, 2?
2
What is the closest to 2/25 in 3/2, 0.4, -3, 2?
0.4
Which is the closest to 0.1? (a) -0.2 (b) 21 (c) 0 (d) -4
c
Which is the closest to -106? (a) -2/11 (b) -1/6 (c) 1/6 (d) -4
d
What is the nearest to -2/13 in 15, 3, -5, -6?
3
Which is the nearest to 1? (a) 2/3 (b) -2 (c) -449 (d) -0.2
a
Which is the nearest to 0.2? (a) 2/5 (b) 1/5 (c) 0.1 (d) 0.5
b
What is the nearest to 52 in -1, 1, -2/13?
1
What is the nearest to 106 in 0.8, 2/7, 0.3?
0.8
Which is the closest to -0.2? (a) 1 (b) -0.04 (c) -0.1
c
What is the closest to 1 in 5, -3.5, 0.1?
0.1
What is the nearest to 0.1 in 2/9, -0.3, 2, -2?
2/9
What is the closest to 2/179 in 5, -0.2, -3?
-0.2
Which is the closest to 4/7? (a) -0.1 (b) -1/4 (c) 6 (d) -2/3
a
Which is the closest to 2? (a) -0.5 (b) 1.15 (c) -2/7
b
Which is the nearest to 2? (a) 3 (b) -11 (c) 1.9 (d) -0.4
c
What is the nearest to -0.06 in 3, 5, -4?
3
Which is the nearest to 0.1? (a) 1 (b) -1/23 (c) 0.4
b
What is the nearest to 16/7 in 3, -3, -4?
3
What is the closest to 0.1 in 0.1, -4, -2/5, 0.4?
0.1
Which is the nearest to -1/3? (a) 8 (b) -0.4 (c) 2/3
b
Which is the closest to 0.1? (a) -43 (b) 5 (c) -3
c
What is the nearest to 0 in -0.021, -1, -12/11?
-0.021
Which is the closest to 105? (a) -0.5 (b) 0.3 (c) -0.3 (d) 0.5
d
Which is the closest to -13.5? (a) 0.4 (b) -3 (c) -5
c
Which is the nearest to 14? (a) -1 (b) -0.3 (c) 5 (d) -5
c
What is the closest to -4/5 in -0.1, 1, -5, 1/4?
-0.1
Which is the closest to -0.3? (a) -0.4 (b) 1.2 (c) -4
a
Which is the nearest to 0.1? (a) 4 (b) 33 (c) 0.3
c
What is the nearest to 0 in -19, 0, -8?
0
Which is the nearest to -138? (a) -2/43 (b) -2 (c) -0.1
b
What is the nearest to 1 in -1/12, 4, -1/3, 28?
-1/12
What is the nearest to -0.1 in -5, -1, -954?
-1
What is the closest to -2/5 in 0.4, -3/7, 2/9, 0.12?
-3/7
What is the nearest to 0.3 in 0.1, -2, -3, 1?
0.1
What is the nearest to 2 in -27/8, -0.5, 3?
3
What is the closest to -8 in -2, -0.2, -11/3, -1/3?
-11/3
Which is the closest to -1? (a) 0.03 (b) -47 (c) 2/7
a
What is the closest to 1 in -2/13, -2, 2, 4/5?
4/5
Which is the closest to -0.1? (a) -0.4 (b) 20 (c) -156
a
Which is the closest to 11? (a) 5 (b) -1 (c) 2/15
a
Which is the nearest to 7? (a) -2 (b) -0.1 (c) -0.5 (d) -4
b
Which is the closest to -219? (a) 3/2 (b) -5 (c) 1
b
What is the closest to -3 in 1/2, -1, 0, -0.4?
-1
What is the nearest to -2/7 in -0.4, -0.1, -1, 2/99?
-0.4
What is the closest to -1/2 in 2/13, -1/22, 4?
-1/22
What is the closest to -1 in -5, -160, -1?
-1
Which is the nearest to -0.037? (a) 5 (b) 3 (c) 22 (d) 4/5
d
What is the nearest to 10 in 6, 1, -4, 2/7?
6
Which is the closest to -1? (a) 0.5 (b) -18 (c) -2/5
c
What is the nearest to 180 in 1, -3, 2/13, -0.04?
1
What is the nearest to 0 in 120, -3, -0.5, -1?
-0.5
What is the closest to 1 in 1/7, -0.7, -0.5, 2/35?
1/7
What is the nearest to -0.13 in -0.5, 0, 3, 2?
0
What is the closest to 4/3 in -2, -1/4, -4/25?
-4/25
Which is the closest to -4? (a) -5/3 (b) 3 (c) -1/2
a
What is the closest to -9 in -3, -5/11, 0.5?
-3
What is the closest to 0.2 in -2/23, -0.0441, 0.3?
0.3
What is the nearest to -0.631 in -2/9, 0.4, 1?
-2/9
What is the nearest to 0.2 in 0, 2, -3, -1.5?
0
Which is the nearest to 0.9? (a) -1/4 (b) -9 (c) -1/5 (d) 0.4
d
Which is the nearest to 5? (a) 0.4 (b) -0.3 (c) -1/4 (d) -87
a
Which is the closest to -5? (a) 3 (b) -7 (c) -2 (d) 1/4
b
What is the nearest to -15.7 in -2/5, -4/5, 3?
-4/5
Which is the closest to -2/7? (a) 4 (b) -0.005 (c) 5
b
Which is the nearest to 1/63? (a) 3 (b) 4 (c) 1/5
c
Which is the nearest to -2? (a) 2 (b) -36 (c) -2
c
What is the closest to 1/6 in 0.04, 4, 1/17?
1/17
Which is the nearest to 3? (a) -0.4 (b) -5 (c) -12 (d) 3
d
Which is the nearest to 23? (a) -1/5 (b) -0.4 (c) -0.1 (d) 2/75
d
Which is the closest to 2/7?
|
{
"pile_set_name": "DM Mathematics"
}
|
13 - 4 + (-1 + 3 - 4)*(-2 - 3 + 3) + 2 - 3 + 0)*(0*d + d + d) as i + f*d and give f.
12
Express -86 + 2*w**2 - 6*w + 86 in the form g*w**2 + x*w + n and give g.
2
Rearrange -3*y**3 + 2*y**3 - y + 3*y**3 + 19*y**3 + 2*y**2 + y**4 to the form z*y**3 + g*y**4 + x + w*y**2 + s*y and give s.
-1
Express 2*z + 0*z**3 - 15 - 5*z + 13 + 13*z**3 as n*z**2 + y*z**3 + i + l*z and give l.
-3
Rearrange 0*r**2 + 0*r**2 + 3*r**2 - 2*r**2 - 4*r**2 + 2*r**2 - 3*r**2 + 2*r**2 + 2*r**2 + (-4 + 2 + 3)*(r**2 + r**2 - 4*r**2) to f + v*r**2 + p*r and give v.
-2
Rearrange 4 + 5*m**3 - 4 + (0*m - 4*m - 2*m)*(0 + 0 - 2*m**2) - m**3 + 3*m - 3*m to the form u*m + j*m**3 + x*m**2 + q and give q.
0
Rearrange ((4*y + 0*y - 5*y)*(3 - 4 + 0) + 0*y + 2*y - 4*y)*(11 + 9 - 8 + (2 + 4 - 4)*(-2 - 2 + 5)) to the form d + v*y and give v.
-14
Express (-2 + 2 + a)*(24 + 1201*a - 1202*a + 3) as h + x*a**2 + p*a and give x.
-1
Rearrange 2*o**4 + 1 - 23*o**2 + 49*o**2 + 2*o - 28*o**2 + 2*o**3 to y + q*o + k*o**4 + c*o**2 + u*o**3 and give k.
2
Express (-5*f**3 + 3*f**3 + 3*f**3)*(-1 + 1 + f) + (-2*f + 2*f**2 + 2*f)*(0*f + f + f)*(-4 - f + 4) in the form l + n*f**4 + y*f**3 + p*f**2 + o*f and give n.
-3
Express (2 + 0 - 4)*(0 - 2*k + 0)*(k**3 - 2*k**3 - 3*k**3) in the form i + r*k**2 + c*k**3 + z*k**4 + a*k and give z.
-16
Express 7 - 2*h - 7 as k*h + n and give k.
-2
Rearrange 2*g**3 + 5*g**2 - 55 + 6*g**2 - 3*g**2 + 51 to the form n*g + f + t*g**3 + o*g**2 and give o.
8
Express -4*c**2 - 6 + 0 + 2*c + 7 + (-3*c + 0 + 0)*(c - 2 + 2) in the form l*c + f + a*c**2 and give l.
2
Rearrange -1 + g**3 - 4 - 10*g**2 + 10*g**2 to the form d + l*g**3 + v*g**2 + k*g and give d.
-5
Rearrange 0*z - 3*z - 4*z + 0*z to the form o*z + r and give o.
-7
Rearrange 16*c**2 + 70 - 70 to the form q*c**2 + x*c + y and give y.
0
Rearrange (7 + 12 - 4)*(-1 + 5 - 2)*(0*v + 0*v + 2*v**3) to the form w*v**3 + i*v + d + b*v**2 and give w.
60
Rearrange (0 + 0 - t + (4*t - 2*t - 3*t)*(6 - 2 - 2) - t - t + t)*(t - 2*t + 6*t) to the form v*t**2 + y*t + n and give v.
-20
Rearrange (-3 + 0 + 2)*(0 - 3 + 2)*((-3*f**2 - f**2 + 3*f**2)*(40*f - 164*f + 58*f) - f**3 + 6*f**3 - 4*f**3) to the form s*f + u*f**3 + m*f**2 + i and give u.
67
Rearrange (-2*v - 2 + 2)*(-2 - 1 + 1)*(-1 + v + 2 + 2) to c + l*v**2 + a*v and give a.
12
Rearrange 35*t - 18*t - 16*t + 1 + 8 to k + h*t and give k.
9
Rearrange 41*u + 0 - 7 + 7 to the form z + h*u and give h.
41
Express -x**3 - x**2 - 1 + x**3 + 2*x**3 + 0*x**4 - 2*x**4 as s*x + v + a*x**2 + n*x**4 + d*x**3 and give n.
-2
Express (0*r - r + 3*r)*(1272 - 1272 - r**2)*(-r + 2*r + 0*r) as k*r**2 + l + p*r**3 + f*r**4 + v*r and give l.
0
Rearrange -3 + 2 - 10*w + 1 to y*w + u and give y.
-10
Express (8 + 2 - 4)*(-4 + 5 - 2)*(4 - 4 - 2*v) in the form d*v + a and give d.
12
Rearrange -5*q**3 - 2*q**4 + 11*q**3 - 2*q - 2*q**3 to the form b + a*q + o*q**2 + c*q**3 + n*q**4 and give n.
-2
Express -7*g - 5*g**3 - g**2 - 1 + 3*g + 4*g as j*g + y*g**3 + b + s*g**2 and give y.
-5
Rearrange -10*b**2 - 3*b + 9*b**2 + 0*b + 0*b - 2 + 3*b**4 to the form y + l*b + n*b**2 + j*b**4 + t*b**3 and give j.
3
Express (-15 - 4 - 1)*(-4 + 4 - h**2) as c*h**2 + v + x*h and give c.
20
Express (-6 - 10 + 12)*(3 - 8*q - 3) in the form s + r*q and give r.
32
Express 8 - 6 + 5*i**2 + i**3 - 9 in the form u*i + a*i**2 + k + q*i**3 and give k.
-7
Rearrange -q**2 - 2*q**3 + 3*q**2 + 4 - 7 to h*q**3 + o + w*q + f*q**2 and give o.
-3
Rearrange k**2 - 4*k + 4*k + (-1 + 1 + k)*(2*k - 3*k + 2*k) + 117 - 107 + 0*k**2 - 3*k**2 - 2*k to h*k**2 + q + m*k and give h.
-1
Express 3*t**3 - 36*t**4 + 17*t**4 + 17*t**4 - 1 as q*t**3 + k*t**4 + b*t**2 + f + m*t and give f.
-1
Rearrange 9 - 3 - 7 + 3*h**2 - 2 - 2*h**4 to y*h**4 + m + o*h + a*h**3 + u*h**2 and give m.
-3
Express (4 - 4 + 2)*(c - 2 + 2) + (-2*c + 0*c - 2*c)*(1 + 2 - 4) + 15*c + 13*c - 31*c + 2*c - 1 + 1 + (-3 + 2 + 0)*(2*c + 2*c - 3*c) as d + k*c and give k.
4
Rearrange -9*q + 4*q - 5*q - 5*q**2 to the form v + y*q**2 + b*q and give y.
-5
Express -13*r**3 + 2*r + r**3 + 3*r**2 + r**2 + 11*r**3 as f*r**3 + o + i*r + v*r**2 and give o.
0
Express x**3 + x**2 + 2*x**2 + 4*x**2 + x**3 as k*x + q*x**2 + d*x**3 + f and give d.
2
Rearrange (-12 - 19 + 8)*(w**2 - 37 + 37) to s + x*w + v*w**2 and give v.
-23
Rearrange 24*i - 24*i - 2*i**2 - 16 to the form v*i**2 + y*i + g and give g.
-16
Rearrange -4*l**3 + 3*l**3 - 3*l**2 - 8*l**2 to the form k + z*l**3 + d*l**2 + h*l and give z.
-1
Rearrange (4*p - 4*p + 5*p**2)*(0 - 5 + 6) + 6*p + 7*p**2 - 6*p + 0*p to the form n*p**2 + j*p + v and give n.
12
Rearrange (-2*m + 5*m + m)*(2*m**2 + 2*m - 2*m)*(0 + 3 - 2) to p*m + d*m**2 + z + x*m**3 and give x.
8
Express (0 + 1 - 2)*(148*t - 78*t - 179*t) in the form d + a*t and give a.
109
Express -26*b - 79*b + 28*b in the form j + l*b and give l.
-77
Rearrange -43*x - 3*x**2 - 4*x**2 + 3*x**2 + 44*x + 2 to the form k*x + r*x**2 + c and give c.
2
Rearrange (-4 + 2*z + 4 - z + z + z + 4*z + 2*z - 4*z + (-3 + 3 - z)*(2 + 2 - 5) + 0*z + 3*z - z)*(-1 + 2 - 2 + (2 - 2 - 1)*(-3 + 1 - 5)) to w*z + g and give w.
48
Rearrange (2*n + 117 - 96 - n)*(-5*n**2 + 3*n**2 + n**2) to the form w*n**3 + r*n + u*n**2 + c and give w.
-1
Rearrange 3*n**2 - n**2 + 0*n**2 + (3*n - 2*n - 3*n)*(-3*n + 2*n - n) + (-2*n + 2 - 2)*(-n - 2*n + 0*n) to x*n + z*n**2 + m and give z.
12
Express -2*l**3 - 2 + 2 + (-l**2 - 2*l**2 + l**2 + (0 + 2*l + 0)*(l - l - 3*l))*(13*l - 25*l + 14*l) in the form r*l**2 + w*l**3 + o*l + k and give w.
-18
Express -167 - c**3 - c**3 - 2*c + 161 + c**2 in the form z*c**2 + v*c**3 + f*c + r and give z.
1
Express (-z - 4 + 3 + 4*z)*(7*z - 5*z - 9*z)*(4 - 5 - 1) in the form g*z**2 + r*z + n and give g.
42
Rearrange 30*g**3 - 7*g + 4*g + 20 - 21 to s + p*g**3 + v*g + j*g**2 and give j.
0
Express 3*l**3 + 7*l - 4*l**2 - l**3 - l - 4*l in the form z*l + u*l**3 + w + b*l**2 and give b.
-4
Rearrange (0 + 2 + 4)*(6*w - 2*w - 3*w)*(4 - 2*w - 4) to the form c*w**2 + v + r*w and give c.
-12
Rearrange (z**2 + 2*z**2 + z**2)*(-z - z + 0*z) - 2*z - 2*z**3 + 3 - 3 + 4*z**3 - 4*z**3 - 2*z**3 to the form w*z + y*z**2 + q*z**3 + f and give w.
-2
Express 30*i - 25*i**2 - 30*i in the form h + m*i + g*i**2 and give m.
0
Rearrange -222 + 0*x**2 + 3*x**2 - x**2 + 35*x**3 + 220 to the form b + s*x**2 + w*x**3 + d*x and give w.
35
Rearrange -7*n + 2*n - 12*n to t*n + y and give t.
-17
Express 3*q**2 - 7*q**2 + q**2 - q**2 - 7 as h*q + c*q**2 + b and give b.
-7
Express -1 - 2*d - 2*d**4 + 120*d**2 - d**3 - 120*d**2 as r + p*d + b*d**2 + q*d**3 + c*d**4 and give c.
-2
Rearrange (h**2 - 3*h**2 + 3*h**2)*(5*h**2 + 37 + 102 - 4*h**2) to the form i + r*h + w*h**4 + q*h**2 + a*h**3 and give w.
1
Express (5 + 6 + 2)*(-2 + 2 + 1)*(-9 + r + 9) as q*r + h and give h.
0
Express -46*d + 2*d**2 - 26 + 13 + 13 as r*d + q + u*d**2 and give r.
-46
Rearrange 51*z - 583 + 583 to the form r + s*z and give s.
51
Express (-5 - 14 - 4)*(3 + s - 2*s - 2) as o*s + j and give o.
23
Rearrange 0*f**3 + f**3 - 10*f**2 + 6*f**2 + (0*f - 2*f - f)*(3*f**2 + f**2 - 3*f**2) - 3*f**3 + f**3 + 0*f**3 to w + t*f**2 + g*f + a*f**3 and give a.
-4
Express 53*m**2 + 4*m**3 + 7*m**3 - 49*m**2 - 2*m**3 - 2 in the form o + h*m**3 + z*m + y*m**2 and give o.
-2
Express -4*g + 0*g + 0*g**4 - 2*g**4 + 24*g**3 - 22*g**3 in the form z*g**2 + y + v*g**3 + j*g**4 + b*g and give b.
-4
Express (-13*o**3 + 0*o**3 - 10*o**3)*(11 - 11 + o) in the form x*o**2 + i*o + p*o**3 + c*o**4 + n and give c.
-23
Rearrange -5*z + 2 - 2 + (-2 + 2 - z)*(-3 + 3 - 2) + (2*z + 2*z - 3*z)*(-4 + 0 + 3) to b*z + o and give b.
-4
Express -3*d + 23*d**3 - 24*d**3 + 4*d + d**2 + d in the form a + t*d + h*d**2 + q*d**3 and give q.
-1
Express 9*t**2 + 7*t**2 - 30 + 29 as k*t + q + u*t**2 and give u.
16
Rearrange (0*k - 7 + 4 - k)*(2*k + 2*k - 6*k) to the form i*k + g + a*k**2 and give a.
2
Rearrange (4*m - 2*m - 4*m)*(-1 + 3 - 3)*(-2 + 3 + 0)*(2*m - m - 3*m) to the form o + u*m**2 + s*m and give u.
-4
Express 5*j - 12*j + 6*j as n + z*j and give z.
-1
Express (-t**3 + 4*t**3 - 4*t**3)*((6*t - 3*t + 0*t)*(-1 + 7 - 2) - t + 4 - 4) as v*t**2 + r*t + u*t**3 + c*t**4 + x and give v.
0
Rearrange (-z + 4*z - 2*z)*((0*z**2 - 2*z**2 + 0*z**2)*(-3*z + 5*z - 4*z) + 2 - 3*z**3 - 2) to q*z**4 + h*z + i*z**2 + x + u*z**3 a
|
{
"pile_set_name": "DM Mathematics"
}
|
60*c + 50
Let g(z) be the second derivative of -1/12*z**4 + 26*z + 0*z**3 + 0*z**2 + 2. Let u(t) = 11*t. Determine g(u(x)).
-121*x**2
Let t(i) = -8*i**2. Let z(w) = -18880331*w. Determine t(z(v)).
-2851735189356488*v**2
Let t(l) = -40*l - 1. Let h(f) = -84844*f. Determine t(h(y)).
3393760*y - 1
Let j(t) = 2*t - 2. Let i(y) = -14*y**2 + 2*y. Let w(p) = -i(p) + j(p). Let o(f) = -2*f. Determine o(w(v)).
-28*v**2 + 4
Let r(w) = 6*w**2. Let h(k) be the first derivative of 5*k**3/3 - 31*k + 2. Let z(m) be the first derivative of h(m). Give r(z(s)).
600*s**2
Let b(m) = -4*m**2. Let x(y) be the first derivative of -150*y**3 - 5 + 144*y**3 - 2. Calculate x(b(d)).
-288*d**4
Let j(i) = -75231*i - 8. Let y(s) = -71*s**2. What is j(y(b))?
5341401*b**2 - 8
Let z(t) = -10461570*t. Let v(k) = 2*k**2. Determine z(v(w)).
-20923140*w**2
Let k(n) = 2*n**2. Let l be 520/104*(-3)/(-5). Let d(q) be the first derivative of -11/3*q**l + 0*q**2 + 0*q + 15. Give k(d(r)).
242*r**4
Let k be (-6)/16*4*2. Let s(d) = 17*d**2 + 4*d - 4. Let f(v) = -v**2 - v + 1. Let y(n) = k*s(n) - 12*f(n). Let q(h) = -2*h**2. Calculate y(q(t)).
-156*t**4
Let c(y) = -405328*y + 784. Let i(t) = -1553*t + 3. Let z(x) = 3*c(x) - 784*i(x). Let q(v) = -3*v**2. Determine q(z(b)).
-7375872*b**2
Let q(y) = -y - 129 + 0*y + 127. Let z(a) = -16*a - 24. Let x(j) = -12*q(j) + z(j). Let h(d) = 18 - 18 - 10*d. Calculate x(h(m)).
40*m
Let z(c) = 6*c + 4*c - 3*c + 3*c - 9*c. Let u(a) be the second derivative of 68*a**3/3 - 18*a. Calculate u(z(f)).
136*f
Let o(a) = 285*a**2. Let y(v) = -7*v**2 + 14*v - 2. Let q(w) = -10*w**2 + 21*w - 3. Let n(u) = 2*q(u) - 3*y(u). Determine o(n(b)).
285*b**4
Let c be 50/12 + (119/42 - 3). Suppose -c + 0 = -2*r. Let z(o) = 168*o**2 - 104*o**2 - 90*o**r. Let p(l) = -l**2. Calculate p(z(u)).
-676*u**4
Let v(z) = 36*z + 20. Let r(i) be the first derivative of -i**2/2 - i - 6. Let j(b) = -60*r(b) - 3*v(b). Let u(w) = -2*w**2. Calculate u(j(k)).
-4608*k**2
Let z(d) = -1170*d + 23*d**2 - 1175*d + 2344*d. Let h(l) = 10*l. Determine h(z(n)).
230*n**2 - 10*n
Let b(z) = -3*z + 5590. Let r(o) = 835*o - 1. Determine r(b(q)).
-2505*q + 4667649
Let l(a) = -2252*a. Let b(z) be the third derivative of -z**5/20 - 5*z**2 + 152*z. What is b(l(m))?
-15214512*m**2
Let y(c) be the second derivative of c**3/6 + 8*c**2 - 2*c. Let u(r) be the third derivative of -r**5/60 - 7*r**2 - 26*r + 1. Give y(u(w)).
-w**2 + 16
Let g(u) = 572*u**2 + u + 3. Let s(v) be the first derivative of v**2 - 172. What is g(s(f))?
2288*f**2 + 2*f + 3
Let j(x) = 127399*x**2 + 5*x. Let g(f) = -2*f**2. Determine j(g(y)).
509596*y**4 - 10*y**2
Let i(r) be the third derivative of r**4/12 + 43*r**3/6 - 369*r**2. Let a(j) = -j. Calculate i(a(k)).
-2*k + 43
Let b(t) = -t**2 + 2952 - 1492 - 1460. Let u(n) = -224*n. Give b(u(d)).
-50176*d**2
Let n(y) = -212*y**2 - 2. Let l(w) = 3*w**2 + 276. Let o(c) = -25*c**2 - 2415. Let r(p) = -35*l(p) - 4*o(p). Calculate n(r(a)).
-5300*a**4 - 2
Let c(j) = 2*j**2. Let n = -24 - -39. Let a = n + -13. Let h(m) = -13*m**a + 34*m**2 - 47*m**2. What is h(c(s))?
-104*s**4
Let a(q) = 1175*q - 1. Let u(l) = -18*l**2 + l - 1. Determine u(a(n)).
-24851250*n**2 + 43475*n - 20
Let l(u) = 21*u**2 - 19*u**2 + 8*u**2 + 13*u**2 + 23*u**2. Let t(h) be the third derivative of -h**4/8 + 16*h**2. Calculate t(l(c)).
-138*c**2
Let p(q) = 3*q**2. Let h(k) = 64*k + 21*k + 1008*k. Give h(p(n)).
3279*n**2
Let o(b) = -6229*b. Let v(f) = 2*f**2 - 1906539 + 1906539. Calculate o(v(l)).
-12458*l**2
Let x(k) = 178623*k**2 + 669*k - 669. Let h(f) = -2135*f**2 - 8*f + 8. Let j(y) = -669*h(y) - 8*x(y). Let c(d) = d**2. Calculate c(j(m)).
447561*m**4
Suppose 14*m + 12290 = 16*m. Let l(r) = -1 - m*r + 5 + 6137*r - 4. Let c(n) = 2*n**2. Determine c(l(g)).
128*g**2
Let f(d) = -2*d + 5723. Let p(m) = -2913*m**2 + 2*m. Determine f(p(g)).
5826*g**2 - 4*g + 5723
Let o(i) be the first derivative of 5*i**2/2 - 31862. Let h(c) = 6*c. Let q(t) = 15*t. Let n(z) = -18*h(z) + 6*q(z). Determine o(n(l)).
-90*l
Let o(a) = -44*a**2 - 48*a + 10. Let h(v) = 15*v**2 + 15*v - 3. Let z(x) = -16*h(x) - 5*o(x). Let u(n) = n. Calculate u(z(b)).
-20*b**2 - 2
Let u(p) = 283*p**2 - 570*p**2 + 286*p**2. Let i(a) = a**3 - 14*a**2 - 14*a - 5. Let s be i(15). Let l(q) = 17*q + 22*q + s*q. Calculate u(l(b)).
-2401*b**2
Let h(y) = -69*y. Let p(k) = 3*k**2 + 21*k - 20. Let t be p(-9). Let l(a) = -1 + 1 + t*a - 32*a. What is h(l(q))?
-138*q
Let f(i) = -42*i**2. Let x(h) = 179 + 10*h - 387 + 208. Calculate x(f(s)).
-420*s**2
Let z(m) be the third derivative of 0 - 1/12*m**5 + 0*m + 101*m**2 + 0*m**3 + 0*m**4. Let t(a) = 2*a**2 - 3*a + 3*a. What is t(z(u))?
50*u**4
Let r(w) = -13*w + 2. Let j(s) = 582*s**2 + 278. Give r(j(f)).
-7566*f**2 - 3612
Let c(x) = 28*x - 97. Let g be c(4). Let h(n) = -g*n - 6*n + 5*n. Let t(o) = -6*o. Give t(h(v)).
96*v
Let j(k) = 718 + 14*k - 366 - 360. Let v(t) = -27*t + 18. Let l(p) = 7*j(p) + 3*v(p). Let u(s) = 2*s. Give u(l(i)).
34*i - 4
Let c(o) = 2*o**2 - 10*o + 5. Let j(b) = -2*b**2 + 4*b - 2. Let v(q) = -4*c(q) - 10*j(q). Let y(z) = -10*z. Determine y(v(t)).
-120*t**2
Let k(r) = -9*r**2. Let w(x) = 8 + 16*x - 12 - 2*x + 14*x - 6*x. Give k(w(l)).
-4356*l**2 + 1584*l - 144
Let q(o) = -29*o**2. Let h(w) = -w - 3. Let i(s) be the second derivative of -s**2/2 + 71*s. Let a(v) = -4*h(v) + 12*i(v). Calculate a(q(t)).
-116*t**2
Let j(b) be the second derivative of 49*b + 3/2*b**3 + 0*b**2 + 0. Let v(x) = -4 + x + 4. What is v(j(k))?
9*k
Let s(a) = a - 11. Let u(v) be the first derivative of -v**4/24 - 149*v**2 + 190. Let b(o) be the second derivative of u(o). What is s(b(k))?
-k - 11
Let i(s) = s**2. Let k(l) be the third derivative of -27713*l**4/24 - 16*l**2 + 92. Calculate k(i(q)).
-27713*q**2
Let y(i) be the first derivative of 200*i**3 - 3546. Let f(l) = -2*l**2. Determine y(f(p)).
2400*p**4
Let v(r) = 1766*r**2. Let a(k) = 160*k**2 - 200*k + 50. Let u(s) = 13*s**2 - 16*s + 4. Let o(m) = 4*a(m) - 50*u(m). What is v(o(d))?
176600*d**4
Let f(j) = 474*j**2 + 1. Let s(o) = o**2 - 499659*o + 499659*o + 0*o**2. What is f(s(a))?
474*a**4 + 1
Let b(j) be the first derivative of -j**3/3 - 7940. Let h(r) = -8*r + 1 - 14*r - 2. Give h(b(p)).
22*p**2 - 1
Let s(q) = -5*q + 0*q + 3*q. Let m(h) be the second derivative of -5*h**3/3 + h**2/2 - 18*h + 523. Give s(m(x)).
20*x - 2
Let s(k) = -151764*k + 1. Let q(n) = n - 4. Calculate q(s(c)).
-151764*c - 3
Let g(m) = 16*m + 2. Let x(v) be the second derivative of 13*v**4/12 + 787*v. Give g(x(f)).
208*f**2 + 2
Let h(g) = -5405*g**2 + 2736*g**2 + 2676*g**2. Let s(c) = -c**2 + 11*c. What is s(h(p))?
-49*p**4 + 77*p**2
Let j(r) = 147*r. Let d(m) = -15*m**2 + 6130 - 6130. Give j(d(w)).
-2205*w**2
Let x(t) = -t**2. Let f(k) = -11450122*k. Calculate f(x(s)).
11450122*s**2
Let c(j) = -2*j + 144. Let v(h) = -103*h + 3. Give v(c(g)).
206*g - 14829
Let q(r) be the first derivative of r**3/3 - 1. Let k be ((-1)/2 - 57/38)*-2. Let u(w) = -k*w**2 + 8*w**2 - 12*w**2. Calculate q(u(n)).
64*n**4
Let k(d) be the third derivative of -d**4/24 + 1432*d**2. Let y(x) = 2*x**2 + 87*x. Calculate k(y(b)).
-2*b**2 - 87*b
Let i(t) = 109630*t. Let n(a) = 3918*a. Calculate i(n(c)).
429530340*c
Let x(d) = 4*d + 7*d + 156 - 157 + 0*d. Let f(g) = -2*g**2. Calculate x(f(t)).
-22*t**2 - 1
Let q = -523 - -531. Let n(w) = -26*w**2 + 12*w. Let t(f) = 78*f**2 - 32*f. Let y(j) = q*n(j) + 3*t(j). Let h(o) = -7*o. What is y(h(z))?
1274*z**2
Let s(h) = -6*h**2 - 10*h - 50. Let f(k) = 7*k**2 + 12*k + 60. Let v(l) = -10*f(l) - 12*s(l). Let x(i) = -6363*i. Determine x(v(m)).
-12726*m**2
Let v(s) = -2*s. Let h(r) be the third derivative of -13*r**8/10080 + 14*r**5/15 - 35*r**2. Let w(o) be the third derivative of h(o). What is v(w(n))?
52*n**2
Let n(h) = 13*h. Let m(k) be the third derivative of -1/6*k**4 + 34*k**2 - 2*k + 0 + 0*k**3. What is n(m(p))?
-52*p
Let a(i) = -7018857*i. Let t(s) = -3*s. Calculate t(a(w)).
21056571*w
Let q(w) = -748*w**2 + 3 - 2 - 1727*w + 1728*w - 235*w**2. Let c(l) = 2*l**2. Determine q(c(u)).
-3932*u**4 + 2*u**2 + 1
Let w(k) be the second derivative of 1/6*k**3 - 2 - 2*k + 0*k**2. Let h(v) = -135*v. Give h(w(t)).
-135*t
Let r(w) = 27*w**2 + 12. Suppose -10*k - 995 = -1005. Let l(j) = 3*j - 3*j + j**2 + 1. Let q(u) = k*r(u
|
{
"pile_set_name": "DM Mathematics"
}
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t k = -1.2 - -0.7. Let p = 5 + -1. Sort k, p, 2/17 in decreasing order.
p, 2/17, k
Let l = 1.2 + -21.8. Let p = -21 - l. Put p, -3/2, -5 in decreasing order.
p, -3/2, -5
Let v be 1/((-3)/2) - (-2 + 3). Put 0.4, 1, 1/2, v in decreasing order.
1, 1/2, 0.4, v
Let i = -16.2 + 12. Let h = 4 + i. Let y = 9 - 5. Sort -5, y, h in descending order.
y, h, -5
Let j = 1 + 1. Suppose -3 - 1 = j*l. Put 2, -4, l in descending order.
2, l, -4
Let s(b) = b**3 + 4*b**2 + 3*b + 1. Let c be s(-3). Sort c, 18, -2 in ascending order.
-2, c, 18
Let w = -20.86 + 23. Let q = 0.14 - w. Sort 1/3, -2/11, q in decreasing order.
1/3, -2/11, q
Suppose 3*h - 4*s - 75 = 0, -4*h - 4*s + 93 = h. Suppose -3*j - h = 2*o, o - 3*j = -4*j - 8. Put 2, o, 1/4 in descending order.
2, 1/4, o
Let n(j) = -4*j**3 + 2*j + 3. Let q be n(-1). Let b(r) = -r - 5. Let g be b(-4). Let v = g - -5. Sort v, q, 1 in descending order.
q, v, 1
Suppose -3*u - r = -5*r, 0 = -4*u + 5*r + 1. Sort -5, -8, u.
-8, -5, u
Let j = -13 + 13.57. Let q = -0.17 + j. Let x = -0.3 - -0.4. Put q, 5, x in descending order.
5, q, x
Let g = 16 - 17. Put g, -3, -0.2 in decreasing order.
-0.2, g, -3
Suppose -3*h - 18 + 27 = 0. Put 4, h, 0 in decreasing order.
4, h, 0
Let t = -98.2 + 98. Let b = 3.4 + -3. Sort t, b, -2/3.
-2/3, t, b
Suppose 4*s - 24 = s. Sort s, 4, 0.1 in descending order.
s, 4, 0.1
Let v be (-3)/12 - 1/(-2). Let h = 0.2 + -0.1. Sort -1, v, h in increasing order.
-1, h, v
Suppose 2*t + 3*t - 25 = 0. Let w be -8*(-4 + (-27)/(-6)). Let j be (-16)/w - (-12)/(-3). Sort 4, j, t.
j, 4, t
Suppose -2*k + 43 = 5*u, -2*u + 5*k + 32 = u. Put u, 1, 4 in decreasing order.
u, 4, 1
Let d = 18 - 17.86. Let p = 0.26 + d. Sort -2/5, p, 3 in ascending order.
-2/5, p, 3
Let j(t) = -t**2 + 10*t - 11. Let n be j(9). Sort 3, -1, n in descending order.
3, -1, n
Let d = -0.049 - -0.339. Let k = d + -0.59. Let t = -3 + 1. Put k, t, 0 in ascending order.
t, k, 0
Let u = 15 - 16. Sort -0.5, -4, u in descending order.
-0.5, u, -4
Let j be 2/(-28)*4/1. Let g = 5 - 3. Suppose 0 = -3*k - a - 9, -a - 11 = g*k - 5. Put j, -0.2, k in decreasing order.
-0.2, j, k
Let y = -3.4 + 5.4. Sort y, -2, 0.3 in decreasing order.
y, 0.3, -2
Let k(j) = -j**3 - 9*j**2 + 9*j - 10. Let a be k(-10). Suppose 0 = 5*f + 5 - a. Sort f, -2, 0.
-2, f, 0
Let z be (-28)/(-6) - 2/(-6). Let r = z + -7. Sort r, -4, 0 in decreasing order.
0, r, -4
Suppose p + 2 = 13. Let j = p + -6. Let n(w) = 3*w**2 + 2*w - 1. Let a be n(1). Sort a, -1, j.
-1, a, j
Let a = 0.3 + 0. Let z = 22.5 - 16. Let t = 7 - z. Sort 1, t, a in decreasing order.
1, t, a
Suppose -5 = -5*t + 10. Put -4, -5, t in descending order.
t, -4, -5
Let p be -1 + -1 + -1 + -1. Let f be 10/p - 3/6. Suppose 2*o + 2*o = -4. Sort f, o, 1.
f, o, 1
Let y be (2 + -2)/(5 - 4). Sort -5, y, 0.2.
-5, y, 0.2
Let f be 3638/(-126) + (-2)/6. Let t = f + 262/9. Sort 4, t, -2/5 in ascending order.
-2/5, t, 4
Let x(l) = 3*l - 1 + 3*l**2 + 0*l**3 + l**3 + 2. Let p be x(-2). Suppose 4*u = -3*a + u - 6, 2*u = 0. Sort p, -3, a in ascending order.
-3, a, p
Let d be 6/(-9)*(7 - 1). Sort 0.4, 2, 3/2, d in descending order.
2, 3/2, 0.4, d
Let p = 13.08 - -0.32. Let y = 13 - p. Let m = -0.3 - -2.3. Put y, -0.1, m in descending order.
m, -0.1, y
Suppose -3*s + 8*s - 20 = 0. Suppose 0*j = -s*j + 4. Put -4, 0, j in increasing order.
-4, 0, j
Let g = 25 - 28. Suppose -3*a + 4*b - 67 = 2*a, a = b - 13. Let s be 6/5*(-10)/a. Put g, s, -5 in increasing order.
-5, g, s
Let i be 8/(-40) - 26/(-5). Let n = -38 + 41. Put n, -1, i in descending order.
i, n, -1
Let j = -0.1 - -1.1. Put -1, -3/5, j in decreasing order.
j, -3/5, -1
Let f(z) = 2*z - 29. Let o be f(13). Let p be (-2)/(-3)*(-3 + 15). Suppose 2*w + u = 12, -p = -4*w + u + 10. Sort -5, o, w in ascending order.
-5, o, w
Let s(q) = 3*q**2 + q. Let r be s(-1). Let k(u) = 2*u**2 - 3*u - 3. Let f be k(3). Suppose -11 = 2*w - 3*d, 0*d + r*d = f. Put 0, 1, w in increasing order.
w, 0, 1
Let l = 223 - 2005/9. Put 0, 0.1, l in descending order.
l, 0.1, 0
Let s(b) = 2*b**2 - b - 2. Let j be s(2). Let z = -2 + j. Let w(o) = -o**3 - 3*o**2 - o - 1. Let u be w(-2). Put z, -1, u in descending order.
z, -1, u
Let r = -0.004 - -0.104. Let u = -0.2 + 0.2. Sort -3, r, u.
-3, u, r
Suppose -2*n + 4*n - 6 = 0. Put -1, n, 1/4 in ascending order.
-1, 1/4, n
Let y be (0 + 2)*(6 - 3)/3. Put y, -4, 5, 0 in decreasing order.
5, y, 0, -4
Let o = -1 + -7. Let q = -7 - o. Sort q, 3, -0.4 in decreasing order.
3, q, -0.4
Let p = -0.1 + -0.9. Let a = 7 + -4. Let i = 1 - -1. Put i, a, p in increasing order.
p, i, a
Let w = 0.2 - -0.2. Let x = -0.5 + w. Let u = 0.5 + x. Sort 2/11, u, -0.3.
-0.3, 2/11, u
Let m = -1 - 2. Let h = -3.04 - m. Let w = h - 0.26. Put -5/4, w, 4 in increasing order.
-5/4, w, 4
Let m be 4220/(-26)*(-4)/8. Let f = m - 81. Put -4, f, 1 in increasing order.
-4, f, 1
Let n = -2.7 - 6.3. Sort n, -3/4, -1, -4 in descending order.
-3/4, -1, -4, n
Let s = -101/2 + 699/14. Sort s, -0.4, -1/5 in descending order.
-1/5, -0.4, s
Suppose 218 = -7*w + 85. Put 4, -1, -3, w in descending order.
4, -1, -3, w
Let y be (1/(-6))/((-4)/18). Let v be 3 + 26/22 + -4. Put y, v, 2/9 in descending order.
y, 2/9, v
Suppose -2*l - c + 38 = 0, -4*l + 4*c = c - 66. Suppose -4*b - 2 = -l. Sort b, -4, 3.
-4, 3, b
Let w = -10 - -6. Let u = 0.08 - 5.08. Sort -0.2, w, u.
u, w, -0.2
Let t be 5/(-2)*(-6)/(-3). Suppose 58 - 61 = -3*p. Sort 5, t, p.
t, p, 5
Suppose 3 = 3*z + 4*h + 1, 0 = z + 5*h - 8. Sort -71, -5, z.
-71, -5, z
Suppose -2*r - 3 = -3*r. Suppose 5*f + r - 44 = 4*j, 2*f = -j + 6. Let b(q) = q**2 + 3*q - 13. Let i be b(-6). Put -3, i, j in ascending order.
j, -3, i
Let u be 10/35 + 26/7. Let n = -7 + 12. Put n, -1, u in increasing order.
-1, u, n
Let b be (-1)/((140/8)/5 + 0). Let t = 2.4 + -2. Sort b, t, 2 in ascending order.
b, t, 2
Suppose 0 + 5 = w. Let a(s) = s**3 - 4*s**2 - 5*s + 3. Let d be a(w). Suppose -u = -d*r - 4 + 1, 4*u + 5*r + 5 = 0. Sort 3, u, 1.
u, 1, 3
Let y be 22/(-121) - (-18)/(-22). Sort 0, 5, y in descending order.
5, 0, y
Suppose 5*b = x - 4, 0*x = -x - 3*b - 4. Let n be x - ((-2)/2)/(-3). Let a = -5 - -3. Sort a, n, -3/8 in ascending order.
a, n, -3/8
Let q = -1.4 + 1.7. Let k = 0.3 - 0.2. Sort 0.5, k, q.
k, q, 0.5
Suppose 0 = 6*r + 30. Let j be 1/(-3) - 8/3. Sort j, 3, r in ascending order.
r, j, 3
Let i = 2.8 - 3. Let s = 0.3 - -0.3. Let c = 3.4 + s. Put c, i, 0 in ascending order.
i, 0, c
Suppose f + 4*n - 5 = 0, 0 = 2*f - f + 3*n - 3. Put 1, 3, f in decreasing order.
3, 1, f
Let z be 2*(-1)/(-2) + -4. Let h(l) = l**2 + 8*l + 7. Let w be h(-7). Suppose i - 3*k + w*k = -15, -5*i + k = 5. Sort -1, z, i.
z, -1, i
Let i = 5 + -3. Suppose -i*m - 2 = -0*m. Let t = m + 1. Put t, 3, -1 in descending order.
3, t, -1
Let h(y) = 2*y**2 - 6*y + 4. Let w be 2/7 - (-78)/21. Let n be h(w). Suppose -5*x = -2*x + n. Put x, -4/5, -0.1 in descending order.
-0.1, -4/5, x
Suppose -9*n + 16 = -29. Sort 1, n, 9 in descending order.
9, n, 1
Suppose -16 + 26 = 2*j. Sort j, -5, 0.04, 2/5 in ascending order.
-5, 0.04, 2/5, j
Let o = -10 + 6. Let n be 8/(-4) + 1/1. Suppose 5*y - 2*s - s - 37 = 0, 5*y - 21 = -s. Put n, o, y in increasing order.
o, n, y
Suppose 5*y = -3*n - 8, n + 0*y - 8 = y. Suppose 2*q + r = n, 0 = 3*q + r - 0 - 8. Sort -9, q, 1.
-9, 1, q
Let q = -0.4 + -0.5. Let j = q + 1.9. Sort -2, -4, j in increasing order.
-4, -2, j
Let r = 4 - 5. Suppose 8*j + 0*j = 40. Sort r, -4, j.
-4, r, j
Let t = 2/57 + -175/114. Sort -4, 0.1, t in ascending order.
-4, t, 0.1
Let l = -3 + 9. Let f = 21.5 + -21.1. Sort l, 1/3, f in decreasing order.
l, f, 1/3
Suppose 4 = 5*w + 19. Suppose -3*f = 7 - 19. Let h(r) = r**3 - 4*r**2 + 2*r - 5. Let p be h(f). Sort -2, w, p in decreasing order.
p, -2, w
Let b = 3 - 2.99. Let z = b - -0.19. Let t = z - -0.3. Put 0.3, 3, t in decreasing order.
3, t, 0.3
Let t = -38 - -42. Sort 0, 0.2, t, -0.3 in descending order.
t, 0.2, 0, -0.3
Suppose 8 = -15*l - 7. Put -5, 19, l in decreasing order.
19, l, -5
Let s be 2*6/(-8)*2. Let q be 7 + -4 + 1 + -11. Let w = -12 - q. Sort -4, s, w in ascending order.
w, -4, s
Let y = 54 + -57. Sort 3, y, -2 in increasing order.
y, -2, 3
Suppose 4*t + t - 13 = k, 0 = -4*k - 2*t - 8. Let v = -2 + -3. Sort k, v, 4.
v, k, 4
Let s = -2.3 - -1.8. Sort s, -4, 4 in incre
|
{
"pile_set_name": "DM Mathematics"
}
|
g order.
699, 10, 0.4, 0.12
Sort -0.2, -0.07013, 2/5, -0.086 in increasing order.
-0.2, -0.086, -0.07013, 2/5
Put 12314, 5, -2, 99 in increasing order.
-2, 5, 99, 12314
Sort 7, -24, 17, -78 in decreasing order.
17, 7, -24, -78
Put -1/9, -286, -19, -1/30, 1 in ascending order.
-286, -19, -1/9, -1/30, 1
Sort 3, -5, 4, 33308149 in increasing order.
-5, 3, 4, 33308149
Put -6/25, -1/27, 0, 7.5 in decreasing order.
7.5, 0, -1/27, -6/25
Sort 2, -10, 1, -521725, -2 in increasing order.
-521725, -10, -2, 1, 2
Sort -40/17, 4, -202198 in descending order.
4, -40/17, -202198
Sort 387, -0.33, 3/361 in increasing order.
-0.33, 3/361, 387
Sort -0.223, 3, -1, -1/2, -2/5 in decreasing order.
3, -0.223, -2/5, -1/2, -1
Sort 5, 14, 659, -542 in decreasing order.
659, 14, 5, -542
Put 213, 4, -388, -1 in increasing order.
-388, -1, 4, 213
Put 2, 12, -144, 1, 9, -22 in ascending order.
-144, -22, 1, 2, 9, 12
Sort 1/179, -3/5, -38433 in increasing order.
-38433, -3/5, 1/179
Put -1294, 21370, 5 in descending order.
21370, 5, -1294
Sort -2, 2, -23, 0, -1754, -8, -3.
-1754, -23, -8, -3, -2, 0, 2
Sort 62.6, 2, 5, -3, 7, -0.2, 23 in decreasing order.
62.6, 23, 7, 5, 2, -0.2, -3
Sort 129, -7, -2, -16, -1369, 2 in ascending order.
-1369, -16, -7, -2, 2, 129
Put 1/34, 5, -4, -1, -12/115 in descending order.
5, 1/34, -12/115, -1, -4
Sort 6399, 3, 9, 1033.
3, 9, 1033, 6399
Put 11, -5, 1, -2965, -1, 0 in descending order.
11, 1, 0, -1, -5, -2965
Sort 9, 4, 429, 1137.
4, 9, 429, 1137
Put -3, -4, 6, -1, 3, 966 in increasing order.
-4, -3, -1, 3, 6, 966
Put 1/24, 445, 4, -1.107, 0.2 in decreasing order.
445, 4, 0.2, 1/24, -1.107
Sort 3, -1482415, 1 in descending order.
3, 1, -1482415
Sort -213, -1, -98.4, 1.
-213, -98.4, -1, 1
Put -10, -11, 55, -2, 1, 73, 3 in decreasing order.
73, 55, 3, 1, -2, -10, -11
Put -0.08, 2/15, 1382 in increasing order.
-0.08, 2/15, 1382
Sort -2/3, 3994, 1.8, 0.09, 2/9 in descending order.
3994, 1.8, 2/9, 0.09, -2/3
Sort 3/5, 4/31, 0.33, 2 in descending order.
2, 3/5, 0.33, 4/31
Put 2, 4, -2/15, 10, 66.63, -3 in increasing order.
-3, -2/15, 2, 4, 10, 66.63
Put 435494.02, 0.1, -2 in decreasing order.
435494.02, 0.1, -2
Sort -1, -52, 55, -4, 3, -10, -11.
-52, -11, -10, -4, -1, 3, 55
Sort -1, -102, 1, -2, 9, -71 in descending order.
9, 1, -1, -2, -71, -102
Put 4, -2, 0, -10, 219, -4, 2 in descending order.
219, 4, 2, 0, -2, -4, -10
Sort 519, -3027, -1, -2/5 in decreasing order.
519, -2/5, -1, -3027
Sort -16, 4, -4, -281, 1, 5 in increasing order.
-281, -16, -4, 1, 4, 5
Sort 0.0025, -0.36, -227, -2 in decreasing order.
0.0025, -0.36, -2, -227
Put 5, -3, -6, -175880, -5 in increasing order.
-175880, -6, -5, -3, 5
Put 301, 12, -5, -7, -111 in descending order.
301, 12, -5, -7, -111
Put 3, -216498, 1, 2 in decreasing order.
3, 2, 1, -216498
Put 0.1, -21859, 241 in increasing order.
-21859, 0.1, 241
Sort -6, 299, 384, 0 in decreasing order.
384, 299, 0, -6
Sort -35, -20, 667, 6, 0 in ascending order.
-35, -20, 0, 6, 667
Sort -21, -42290, 1/3, -25 in descending order.
1/3, -21, -25, -42290
Put 0.12, -5, 2/13, -8068, -1, -24 in increasing order.
-8068, -24, -5, -1, 0.12, 2/13
Put 143, 15, 2, -101 in decreasing order.
143, 15, 2, -101
Put 3/8, 347, 8875 in decreasing order.
8875, 347, 3/8
Put -1/2, -5, -6/11, -34332 in descending order.
-1/2, -6/11, -5, -34332
Sort 0.1, 6/17, 281021 in increasing order.
0.1, 6/17, 281021
Put 2, 9, -1/8, -0.19, 8058/11 in descending order.
8058/11, 9, 2, -1/8, -0.19
Put -0.7, 1/2, -572, -555, 0, 6 in decreasing order.
6, 1/2, 0, -0.7, -555, -572
Sort 16, 181, -2, -4, 0, 1 in increasing order.
-4, -2, 0, 1, 16, 181
Put -3, 0.3, 353378155 in decreasing order.
353378155, 0.3, -3
Sort -6, -0.5, -1/8, 1/8, -38, 1/23 in decreasing order.
1/8, 1/23, -1/8, -0.5, -6, -38
Sort -9499, 0, -48, 5.
-9499, -48, 0, 5
Put -37, 171, 32, -10 in descending order.
171, 32, -10, -37
Sort 0, -3084374, 2, -4, -2, 1 in ascending order.
-3084374, -4, -2, 0, 1, 2
Sort -4, -3005, 3, 4, 137.
-3005, -4, 3, 4, 137
Sort 22, 0, 166, 2, -2 in ascending order.
-2, 0, 2, 22, 166
Sort -3469, -2, 24, -5.
-3469, -5, -2, 24
Sort 3, -5, 1, 5, -1, -1262, 4 in ascending order.
-1262, -5, -1, 1, 3, 4, 5
Put -802, 4, -40, 50, 0 in ascending order.
-802, -40, 0, 4, 50
Put -5, -0.1, -2/27, 0.1904 in decreasing order.
0.1904, -2/27, -0.1, -5
Sort 5, -11187, -0.5, 1, -5, 2, -41 in decreasing order.
5, 2, 1, -0.5, -5, -41, -11187
Put 206203, 157, 3, -4, -5 in ascending order.
-5, -4, 3, 157, 206203
Put -3, 205421, -11 in descending order.
205421, -3, -11
Put -107, -5, -1, 8, -18, 31, 3 in increasing order.
-107, -18, -5, -1, 3, 8, 31
Sort -44, 33, 1/3, -1/27, 0.3 in increasing order.
-44, -1/27, 0.3, 1/3, 33
Sort 0.5, -1, 16/7, 9458, -3.
-3, -1, 0.5, 16/7, 9458
Put 2, -446, -8, -1, -6, -17 in decreasing order.
2, -1, -6, -8, -17, -446
Sort 1.43, 0.2, 6, 2854.
0.2, 1.43, 6, 2854
Put 29/46, 5, -2/9, 5/2 in descending order.
5, 5/2, 29/46, -2/9
Sort 0, -0.4, 0.2, 1, 65, 23, 28 in increasing order.
-0.4, 0, 0.2, 1, 23, 28, 65
Sort -1, 3, -10, -78995, 1.
-78995, -10, -1, 1, 3
Put 31490, -0.1, 88/3 in descending order.
31490, 88/3, -0.1
Put -49, -4, -6, -2, -1, 1, 2449 in increasing order.
-49, -6, -4, -2, -1, 1, 2449
Put 82, 5, -5, -71, 3, 0, -3 in ascending order.
-71, -5, -3, 0, 3, 5, 82
Sort 197, 0, -8161, 1, 9, 2 in increasing order.
-8161, 0, 1, 2, 9, 197
Sort -79, 5, 780, 43 in increasing order.
-79, 5, 43, 780
Put -2, 810504, -29 in decreasing order.
810504, -2, -29
Sort 242212, 0, 1, -5, -3.
-5, -3, 0, 1, 242212
Sort 4/3, -1/2, -7911/23 in descending order.
4/3, -1/2, -7911/23
Put 6, -5, -2, -286, -1, 4 in descending order.
6, 4, -1, -2, -5, -286
Sort 418, -1, -244, -30, 5.
-244, -30, -1, 5, 418
Sort -5, 0, 4, 18630 in ascending order.
-5, 0, 4, 18630
Put -142184, -23, -5 in increasing order.
-142184, -23, -5
Put -3, -456, 0.1, 0.3, -1/283 in descending order.
0.3, 0.1, -1/283, -3, -456
Sort -3, 3, -60947, 17, 4 in ascending order.
-60947, -3, 3, 4, 17
Sort 10, -10, 197, -0.7.
-10, -0.7, 10, 197
Put -1, 17, 9, 66, 64 in increasing order.
-1, 9, 17, 64, 66
Sort -6, 0.5, 7, 4, 539 in ascending order.
-6, 0.5, 4, 7, 539
Sort 0.8, 6, 4, 1/183, 14 in descending order.
14, 6, 4, 0.8, 1/183
Sort -3, 1, -49, -12, 50, 3, -4 in descending order.
50, 3, 1, -3, -4, -12, -49
Sort -10, -23, -5, 9915 in increasing order.
-23, -10, -5, 9915
Sort 0.0765, -1, -239 in descending order.
0.0765, -1, -239
Put 5, -5, 35458, 136 in decreasing order.
35458, 136, 5, -5
Sort 99, -4/736159, -0.3 in decreasing order.
99, -4/736159, -0.3
Put 1, -1, -27021 in decreasing order.
1, -1, -27021
Put 2669, 3, 2/5, 3747 in decreasing order.
3747, 2669, 3, 2/5
Put 23/32, -1.7, -4 in increasing order.
-4, -1.7, 23/32
Put -4, 5, -5, -1, 4420626 in ascending order.
-5, -4, -1, 5, 4420626
Put -11, -15, -1046, -1, 1 in increasing order.
-1046, -15, -11, -1, 1
Put 0.3, 86, 0.036, 0, 2/3, -3 in decreasing order.
86, 2/3, 0.3, 0.036, 0, -3
Sort 2, -5, 2906, 4, 5, 36 in increasing order.
-5, 2, 4, 5, 36, 2906
Sort 142, 3, -15, -1, 4, -13 in ascending order.
-15, -13, -1, 3, 4, 142
Sort 2232, 329, -62.
-62, 329, 2232
Put -41, 1, 5, 1639695 in decreasing order.
1639695, 5, 1, -41
Sort 4, -5, 0, -26067391 in decreasing order.
4, 0, -5, -26067391
Put 3, -2, -3, 29, 4, -4, 462 in decreasing order.
462, 29, 4, 3, -2, -3, -4
Put -598, -4133, -12 in ascending order.
-4133, -598, -12
Sort 20885, -5, 10, -1 in descending order.
20885, 10, -1, -5
Sort -3, 8, 4, 223, 3 in descending order.
223, 8, 4, 3, -3
Sort -3/14, -1, -3, -1/2, -33388.
-33388, -3, -1, -1/2, -3/14
Sort 8, 5, 0, 1, 3, -2301, -3 in decreasing order.
8, 5, 3, 1, 0, -3, -2301
Put 2/11, 3, -0.2, -3, 18/4967 in increasing order.
-3, -0.2, 18/4967, 2/11, 3
Sort 13, -5, 2, -4, -6, -150, 5 in descending order.
13, 5, 2, -4, -5, -6, -150
Put 5, 1, 0, 10, -484, 9, 6 in descending order.
10, 9, 6, 5, 1, 0, -484
Put -2, 13, 4, -3, -10, 3, 752 in decreasing order.
752, 13, 4, 3, -2, -3, -10
Put -349, 12, 1, 2, -1 in ascending order.
-349, -1, 1, 2, 12
Put 31, 0.4, 0.085, 3, 47, -1 in increasing order.
-1, 0.085, 0.4, 3, 31, 47
Sort 2, 3.3, -0.7, 0.09, -2, 7.
-2, -0.7, 0.09, 2, 3.3, 7
Sort 3/2, 1, 1/22, -49, 5, 2, -0.3 in descending order.
5, 2, 3/2, 1, 1/22, -0.3, -49
Sort -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
vide 11543 by -17.
-679
What is -363 divided by -166?
363/166
-98280 divided by -351
280
What is 0 divided by 10568?
0
What is 36914 divided by 2?
18457
Divide 1117 by 150.
1117/150
-100 divided by 146
-50/73
Divide 800 by -157.
-800/157
Divide 10427 by -13.
-10427/13
Divide -1645732 by 411433.
-4
-5 divided by 14574
-5/14574
What is -563244 divided by 11044?
-51
Calculate 26438 divided by -23.
-26438/23
What is 6386 divided by 389?
6386/389
-10046 divided by 12
-5023/6
What is -22575 divided by 903?
-25
Calculate 216372 divided by -5694.
-38
Calculate -86561 divided by -9.
86561/9
-1 divided by 27361
-1/27361
What is 1087590 divided by -3?
-362530
3376 divided by -1
-3376
What is -5 divided by 9640?
-1/1928
Calculate 2380 divided by 4.
595
What is 0 divided by -15712?
0
What is -22261 divided by -17?
22261/17
Calculate -67467 divided by -22489.
3
Calculate 325509 divided by 4.
325509/4
Calculate 98241 divided by 5.
98241/5
986631 divided by -69
-14299
Calculate 25179 divided by -109.
-231
Divide -497405 by 5.
-99481
Calculate -16010 divided by -3202.
5
Calculate 15408 divided by -17.
-15408/17
153768 divided by 6
25628
Calculate -1779 divided by -88.
1779/88
Divide -10 by 111745.
-2/22349
What is 55594 divided by -154?
-361
Divide 3 by -2907.
-1/969
Calculate -9744 divided by 6.
-1624
Calculate -61386 divided by -1.
61386
-32 divided by 818
-16/409
78023 divided by -451
-173
What is -74010 divided by -4934?
15
What is -333 divided by -1174?
333/1174
Divide -6123 by 2041.
-3
Calculate -4804 divided by -128.
1201/32
Calculate -265026 divided by -6.
44171
What is 142 divided by -110?
-71/55
-5625 divided by -2
5625/2
Calculate 1951290 divided by -3.
-650430
Divide -222176 by 262.
-848
Divide 17525 by -6.
-17525/6
49608 divided by -1378
-36
Divide 4360 by -10.
-436
Divide 63291 by 26.
63291/26
What is 4 divided by -91566?
-2/45783
What is 243380 divided by -5660?
-43
Calculate 2857091 divided by 197.
14503
What is 165440 divided by 4?
41360
Calculate -159577 divided by 89.
-1793
What is 50344 divided by 217?
232
Divide 1105867 by -1.
-1105867
Divide -21703 by -11.
1973
Divide -146778 by -1439.
102
119 divided by 6009
119/6009
Calculate 28713 divided by -51.
-563
What is 20494 divided by -1?
-20494
296826 divided by -4866
-61
28 divided by 94
14/47
Calculate -23766 divided by 6.
-3961
Divide 372355 by -3.
-372355/3
Calculate 78820 divided by 3.
78820/3
-626530 divided by -313265
2
-200318 divided by 200318
-1
What is -12144 divided by -8?
1518
Calculate 2 divided by 991040.
1/495520
Calculate 843642 divided by 2.
421821
14 divided by -6190
-7/3095
What is 41251 divided by -7?
-5893
-1709397 divided by 569799
-3
What is 0 divided by 29796?
0
Calculate 5316300 divided by -5.
-1063260
Calculate 4410 divided by 25.
882/5
Calculate 131 divided by -2002.
-131/2002
Divide 15240 by 6.
2540
109376 divided by 32
3418
365514 divided by 3
121838
What is 8146 divided by -22?
-4073/11
-1590 divided by 2
-795
Calculate 6 divided by 15725.
6/15725
Divide 241791 by 3.
80597
What is 200 divided by -17?
-200/17
Divide -735 by 17.
-735/17
Divide -3 by -376370.
3/376370
Calculate -11 divided by -4573.
11/4573
Calculate -75474 divided by 4193.
-18
Calculate -1272198 divided by 3.
-424066
What is -14944192 divided by 2?
-7472096
-360441 divided by -261
1381
-7946 divided by 274
-29
Calculate -6534 divided by -6.
1089
What is 124269 divided by 1801?
69
Divide -1603125 by 1425.
-1125
-597333 divided by 3
-199111
Divide 14914 by -44.
-7457/22
Calculate 1143372 divided by 906.
1262
Calculate 354 divided by 9.
118/3
Calculate 34 divided by 179.
34/179
Divide 564232 by -4.
-141058
What is 203454 divided by -3?
-67818
5548 divided by 2774
2
Calculate -39556 divided by 899.
-44
Divide 405787 by -3.
-405787/3
Calculate 43 divided by 56104.
43/56104
Calculate 12756 divided by 14.
6378/7
0 divided by 4306
0
Calculate 3 divided by -709007.
-3/709007
Divide -110943 by 7.
-15849
What is 61192 divided by 5?
61192/5
Calculate -14476378 divided by 2.
-7238189
2563496 divided by 640874
4
Calculate -268 divided by -752.
67/188
Divide -140787 by -1.
140787
Divide 97655 by -5.
-19531
-6800 divided by -35
1360/7
What is -78964 divided by -76?
1039
-4 divided by -3874
2/1937
Divide 107676 by 54.
1994
What is -21391 divided by -26?
21391/26
3 divided by -30407
-3/30407
Divide 12 by 703.
12/703
What is 7428 divided by -1238?
-6
Divide 5 by -58298.
-5/58298
What is 288 divided by -233?
-288/233
192142 divided by 8354
23
-461 divided by 294
-461/294
Divide 410136 by -6.
-68356
Calculate -16 divided by 10452.
-4/2613
225 divided by -835
-45/167
Calculate -382 divided by -1370.
191/685
-54956 divided by 44
-1249
Divide 45 by 47745.
1/1061
Divide -1896908 by 36479.
-52
-15639 divided by 15639
-1
Divide 9816 by 585.
3272/195
What is -15 divided by 100815?
-1/6721
390978 divided by -214
-1827
0 divided by 3995
0
What is -196686 divided by 446?
-441
-14 divided by 2403
-14/2403
-1218 divided by -2787
406/929
What is -12832760 divided by -4?
3208190
Divide 117592 by 1.
117592
26 divided by -2984
-13/1492
-2712 divided by 3
-904
What is -2130022 divided by 2?
-1065011
What is -43 divided by 10?
-43/10
What is -673948 divided by 6358?
-106
Calculate 4336384 divided by -20848.
-208
Divide -5 by -999938.
5/999938
315 divided by 1
315
9627189 divided by 1
9627189
What is 4140436 divided by -67876?
-61
Divide 20190 by 3365.
6
Divide -385168 by -2128.
181
Divide 226768 by 5.
226768/5
Divide -6938005 by 5.
-1387601
5029 divided by -47
-107
Divide -20 by -28.
5/7
Calculate 2181456 divided by -4.
-545364
-194270 divided by -4
97135/2
Divide -8113 by -1159.
7
Divide 2255 by 427.
2255/427
17690220 divided by -4
-4422555
What is -231 divided by -183?
77/61
Calculate -5 divided by 1.
-5
Divide -11 by -392.
11/392
Calculate -5 divided by 46754.
-5/46754
-45024 divided by 8
-5628
3566952 divided by 891738
4
What is -1784 divided by -56?
223/7
What is 1 divided by 166980?
1/166980
Divide -10719 by -13.
10719/13
What is -274335 divided by -5?
54867
-913674 divided by -174
5251
What is -8 divided by 405445?
-8/405445
What is 6 divided by -52002?
-1/8667
Divide -118302 by -19717.
6
-5913 divided by 9
-657
Divide -101716 by 4.
-25429
-5479 divided by -107
5479/107
What is -1684596 divided by -4?
421149
Calculate 127974 divided by -1.
-127974
Divide -539 by -149.
539/149
Divide -36305 by 5.
-7261
Calculate -70 divided by 2792.
-35/1396
Calculate 102 divided by 708.
17/118
Calculate 2832 divided by 2.
1416
9093 divided by 61
9093/61
What is 195286 divided by 2?
97643
Calculate -20 divided by -313.
20/313
Calculate -295 divided by -56.
295/56
Divide -2951882 by -2.
1475941
Divide 8730 by 10.
873
-184 divided by -327
184/327
9806 divided by -4903
-2
Calculate -4 divided by 479615.
-4/479615
What is -2861084 divided by 4?
-715271
Divide -351044 by -149.
2356
What is -387844 divided by -2063?
188
-525144 divided by -262572
2
156 divided by -78
-2
308 divided by -899
-308/899
Divide 789659 by 23.
34333
-5 divided by -9740
1/1948
What is -231060 divided by 3851?
-60
Calculate -2736 divided by -33.
912/11
Divide -723384 by 6698.
-108
Divide 2713 by 6.
2713/6
Calculate -67485 divided by 6135.
-11
Calculate -26077 divided by -89.
293
Calculate 0 divided by 2181.
0
Divide 1658 by -11.
-1658/11
Calculate -70 divided by 29513.
-70/29513
-5628692 divided by 1407173
-4
What is -9672 divided by 31?
-312
11136 divided by 232
48
What is 6729 divided by -6729?
-1
Calculate 1184 divided by 46.
592/23
13247 divided by -13247
-1
Calculate 3 divided by -19979.
-3/19979
Divide 125440 by -4.
-31360
Calculate 338646 divided by -42.
-8063
What is 973470 divided by -6?
-162245
Divide 157 by -563.
-157/563
Divide -139 by 524.
-139/524
Calculate 4 divided by -10319.
-4/10319
Calculate 83624 divided by -2.
-41812
Divide -11 by 511183.
-11/511183
-1378818 divided by 459606
-3
-816060 divided by 35
-23316
What is 2190300 divided by 50?
43806
Calculate -390 divided by 198.
-65/33
What is 292660 divided by 4?
73165
Calculate 3 divided by 1432629.
1/477543
-11 divided by -9247
11/9247
11832 divided by 4
2958
What is -246217 divided by 1?
-246217
What is 1 divided by -39388?
-1/39388
Divide 7 by 26909.
7/26909
-898 divided by -62
449/31
What is 51840 divid
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Let c = -5729 + 68701/12. Let z = -9703/984 + 9/328. Find the common denominator of c and z.
12
Let z = 2 - -1. Suppose -248 = -0*p - 4*p - 4*c, c = z*p - 178. What is the common denominator of 3/p*-1*-23 and 105/22?
220
Let a(o) = o + 9. Calculate the smallest common multiple of 22 - 1 - (-1 - 0) and a(5).
154
Suppose 5*q - 2*v = -18 + 78, -3*v + 15 = 0. Let f = -2/175 + -498/175. Find the common denominator of f and q.
7
Let o = -4997 + 8263. Let n = o + -2322. Let p = -2777/3 + n. What is the common denominator of p and 37/3?
3
Let y(h) = -2*h**2 - 59*h + 1. Calculate the lowest common multiple of y(-28) and 85.
85
Let k(j) = j**2 + 1. Let b be 6/(-4) + 1/2. Let g be k(b). Calculate the common denominator of (g - 291/24) + 2 and -37/18.
72
Suppose -7*v = -5*v - 576. Suppose -3*c + v = 99. What is the lowest common multiple of 20 and 14/c + (-70)/(-9)?
40
Let k = -6127/2 + 750788/245. Let z = k + -2/49. Find the common denominator of -1/10 and z.
10
Let y(x) = 35*x - 19. What is the least common multiple of 248 and y(1)?
496
Let r = -223145/12 - -18585. Find the common denominator of r and -115/12.
12
Let a = -1/37629 - -133996877/301032. Let b = -441 + a. Calculate the common denominator of b and 50/3.
24
Let j = -4226 + 2853. Let w = 8267/6 + j. Let o = 8545/4 + -2126. Calculate the common denominator of w and o.
12
Find the common denominator of 107/112 and (-6)/10 - (0 - (-655)/200).
112
Suppose 6*r = -187 + 823. What is the smallest common multiple of r and 4?
212
Let p(f) = -f**2 + 5*f - 2. Let b be p(6). What is the common denominator of ((-4)/b)/((-1)/32) and (77/66)/(3/8)?
9
Let y(g) = 39*g + 4 - 49*g - 4*g**2 + 0*g**2. Let r(s) = -5*s**2 - 11*s + 5. Let i(o) = 5*r(o) - 6*y(o). Calculate the smallest common multiple of i(5) and 2.
2
What is the lowest common multiple of 81 and (-209)/(-11)*(1 - -2) + -3?
162
Calculate the common denominator of ((610/(-9))/5)/6 - -3 and -80/99.
297
Let l = 120 - 69. Let g = l + -35. What is the lowest common multiple of 4 and g?
16
Calculate the lowest common multiple of 290/35 + 4/(-14) and 56.
56
Let m(k) = 2*k**2 + 19*k - 23. Let n be m(-11). What is the common denominator of 1732/(-960) - n/75 and (-2)/6 - 614/(-132)?
176
Let s(m) = m**3 - m**2 + m + 22. Suppose -31 = -25*a + 10 + 9. Calculate the least common multiple of a and s(0).
22
Let h = 33/382 - 289643/7640. Let j = h + 273/8. Find the common denominator of -5/3 and j.
30
Let s = -2 - -24. Let y be (-3)/(-2)*(-17 - -19). Suppose 0 = 3*g - 12, -20 = -2*j + g + y*g. Calculate the smallest common multiple of j and s.
198
Suppose 0 = 7*l - 2*l - 320. What is the common denominator of 40/7 and 69*2*8/l?
28
Let i = -3641/2 - -1862. Let b = -5 + -1. Find the common denominator of i and (1674/96)/(b/4).
8
Find the common denominator of 37/228 and (206/8)/((-117)/(-78)).
228
Suppose 105 = 16*f - 13*f. Suppose -5*d + 235 = -f. Calculate the common denominator of 5/6 and (-6)/(-27) + 147/d.
18
Suppose b = 6*b. Let n be (13 - -5)*2 + -1. Suppose 5*w + b*w + 11 = 2*i, 3*w = -4*i + n. What is the smallest common multiple of i and 6?
24
Let i = -9/50 - -257/25. Let b be 1246 + (7 - 2) + -2. Let g = 9967/8 - b. Calculate the common denominator of i and g.
40
Let s = -124 + 225. Calculate the smallest common multiple of s/9 + 8/(-36) and 11.
11
Suppose 8 = 5*m - 2. Suppose -4*f + 92 = -0*r + 4*r, 47 = 4*r - 5*f. Suppose 4*q = m*q + r. Calculate the least common multiple of q and 2.
18
Let n = -1110 + 1128. Calculate the smallest common multiple of n and 72.
72
Suppose 6 = -2*p + 2. Calculate the common denominator of 71/8 and (p/(-32))/(1 - 1188/1168).
40
Let u(d) = -d**3 + d**2 + 74*d + 12. What is the least common multiple of u(9) and 7?
210
Let c be (-1)/(-3) - 14892/45000. Let h = c + 30613/5000. Calculate the common denominator of (-35)/(-95) - (0 - 1) and h.
152
Let q = 3985/372 - -15/124. What is the common denominator of 38/9 and q?
18
Suppose 26*q - 28*q + 92 = 0. What is the smallest common multiple of 10 and q?
230
What is the common denominator of 12/27*1 - 5 and -23/57?
171
Suppose 53 = 5*t - n - 9, 2*t - n = 26. Suppose 2*i - u - 14 = -4, 2*u + 26 = 5*i. Calculate the smallest common multiple of t and i.
12
Suppose 2*l + 0*l - 29 = -5*u, 0 = -l - u + 16. Let y = l - 7. Calculate the lowest common multiple of -10*((-65)/25 - -3) + 10 and y.
30
Let z(x) = -8*x - 21. Calculate the least common multiple of z(-6) and 9.
27
Find the common denominator of 19/264 and (-1)/((-18)/(-672)) - (-2)/(-12).
264
Let b = 2/121 + -7175/2178. Calculate the common denominator of 68/81 and b.
162
Let m be ((-77)/(-44))/(514/256 - 2). Calculate the lowest common multiple of m/(-12)*((-3)/(-6) - 2) and 4.
28
Let w = 282446086 + -8474157643/30. Let x = 25833 + w. Find the common denominator of x and 30/(-4)*14/10.
30
Let o = 15 + -11. Let t(k) = -k**3 + 19*k + 20 - 19*k**2 + 2*k + 0*k**3 + 6. Calculate the lowest common multiple of t(-20) and o.
12
Let g be 6/18 - (-2)/(-6). Suppose g*z + z - 82 = -4*a, a - 4 = 0. What is the smallest common multiple of 3 and (z/9)/((-4)/(-6))?
33
Suppose 0 = -2*i - 3*i + 60. Suppose 4*m = -3*n + 52 + i, -3*n = 2*m - 38. What is the smallest common multiple of 11 and m?
143
Let n = -34 - -37. What is the common denominator of ((-125)/(-20))/(22/8) and n?
11
Calculate the common denominator of (966/(-272) - (40 - 45)) + -1 and -101/340.
680
Suppose 7*t - 12 = 3*t. Suppose j = -t*j + 108. What is the least common multiple of 15 and j?
135
Let n(u) = -u - 14. Let y be n(-16). Let b(k) = 4*k - 2. Suppose 3*m + 0*s - s = 81, 0 = 3*m + 5*s - 63. What is the smallest common multiple of m and b(y)?
78
Let k be 2/16 - (-1262229)/(-58824). Let t = k - 1/1634. Find the common denominator of t and 40/9.
9
Suppose -21 = -4*v + 43. Find the common denominator of 63/2 and 36/34*(-8)/v.
34
Suppose -14 - 2 = -4*c. Suppose 2*h + 3*h - 80 = -5*m, c*h + 3*m - 68 = 0. Let i = -216 + 240. What is the lowest common multiple of h and i?
120
Let g be 3 + (1 - (3 + -4)). Suppose 14 = c - g*z, 0*c + c + 4*z = 50. What is the least common multiple of c and -1*(-1)/1 - -19?
340
Suppose 19*p - 114 = 76. Suppose 2*f - 54 = -f. What is the smallest common multiple of f and p?
90
Let h = 3687 - 239601/65. Find the common denominator of -107/6 and h.
390
Let w be -1 - (-11)/(33/144). Suppose -4*a - a = -2*m + w, -m + 51 = 3*a. What is the common denominator of 69/8 and (-11)/28*m/9?
56
Suppose -207 + 11 = -2*j. Let p = j + -59. Find the common denominator of (p/54)/(3/(-33)) and 31/10.
90
Suppose -24*z = -268 + 28. Calculate the smallest common multiple of 100 and z.
100
Let d = -1/20685 + -572279/124110. Calculate the common denominator of d and 0 - 819/70 - (-1 - 0).
90
Let p = -46650862 + 27057492033/580. Let d = p - -566/29. Find the common denominator of 186/42 - 2/4 and d.
140
Suppose -12 - 248 = 5*v. What is the common denominator of (-41)/(-11) + v/13 and 47/10?
110
Let o = 4 + -2. Suppose 100 = -o*x + 7*x. Suppose 4*k + 18 = 3*w, 6*w - 24 = 2*w + 3*k. Calculate the lowest common multiple of x and w.
60
Let y = -664 + 14621/22. Let k = 2/83725893 + 2866690846963/145013246676. Let b = 8/433 - k. Find the common denominator of y and b.
44
Suppose 2*j + 4*x + 46 = 5*j, -4*j = -x - 44. Let k(y) = y**3 + 16*y**2 + 12*y - 35. What is the least common multiple of j and k(-15)?
10
What is the common denominator of 59/286 and -5 + (-93 + -2)/(5 + 1)?
858
Let h(b) = -b**2 + 6*b + 3. Let l be 1*3 - (13 + -16). Let z be h(l). Calculate the lowest common multiple of 48 and (-40)/(-24) + 1/z.
48
Let n = 2/4093 - -159611/32744. Suppose 0 = -18*v + 14*v - 40. What is the common denominator of n and (-44)/v*(200/28)/(-5)?
56
Let y(r) = 2*r**3 - 10*r**2 + 6*r + 4. Let l be y(6). Suppose 59*c + l = 66*c. Calculate the least common multiple of 24 and c.
48
Calculate the least common multiple of 63 and 340/6 + 4/(-6).
504
Suppose -1 = -2*t - 5, 0 = -4*c + 5*t - 14. Let k be (-6)/4*c/1613. Let n = k + -85669/32260. Find the common denominator of 83/20 and n.
20
Let h(b) = b**3 + 4*b**2 + 4*b - 8. Let l be -3 - 3/(3 + -2). Let w be h(l). What is the lowest common multiple of (w/(-39))/((-2)/(-12)) and 10?
80
Suppose -3*s + 21 = 2*b, -2*b - 10 = -4. Let a = 15 - s. Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
10825?
-198*t + 111617
What is the j'th term of -8889, -17769, -26639, -35493, -44325?
j**3 - j**2 - 8884*j - 5
What is the z'th term of 11011878, 11011881, 11011894, 11011923, 11011974?
z**3 - z**2 - z + 11011879
What is the r'th term of -45116426, -45116425, -45116422, -45116417, -45116410?
r**2 - 2*r - 45116425
What is the f'th term of 317, -32, -901, -2524, -5135, -8968?
-39*f**3 - 26*f**2 + 2*f + 380
What is the o'th term of -1591, -2156, -2651, -3040, -3287, -3356?
6*o**3 - o**2 - 604*o - 992
What is the y'th term of 102, -538, -2644, -6948, -14182, -25078?
-122*y**3 - y**2 + 217*y + 8
What is the h'th term of 820, 2973, 6462, 11287, 17448?
668*h**2 + 149*h + 3
What is the n'th term of -979, -10146, -35697, -85828, -168735, -292614, -465661, -696072?
-1366*n**3 + 4*n**2 + 383*n
What is the n'th term of 44639, 48837, 55841, 65657, 78291?
n**3 + 1397*n**2 + 43241
What is the f'th term of 11812068, 23624272, 35436478, 47248686, 59060896?
f**2 + 11812201*f - 134
What is the h'th term of 33512, 57699, 81888, 106079, 130272, 154467?
h**2 + 24184*h + 9327
What is the t'th term of 1093, 1308, 1501, 1672, 1821, 1948?
-11*t**2 + 248*t + 856
What is the t'th term of -2819110, -5638123, -8457126, -11276113, -14095078, -16914015, -19732918, -22551781?
t**3 - t**2 - 2819017*t - 93
What is the r'th term of 5018159, 5018161, 5018163, 5018165, 5018167, 5018169?
2*r + 5018157
What is the y'th term of 563, 1756, 3595, 6086, 9235, 13048, 17531, 22690?
y**3 + 317*y**2 + 235*y + 10
What is the r'th term of 685, 2686, 6017, 10678, 16669, 23990?
665*r**2 + 6*r + 14
What is the h'th term of 239156, 239074, 239004, 238952, 238924, 238926?
h**3 - 89*h + 239244
What is the w'th term of 268, 1542, 4474, 9724, 17952, 29818?
110*w**3 + 169*w**2 - 3*w - 8
What is the n'th term of 8756967, 8756939, 8756913, 8756889, 8756867?
n**2 - 31*n + 8756997
What is the u'th term of -22024522, -22024539, -22024554, -22024567, -22024578?
u**2 - 20*u - 22024503
What is the k'th term of 32166, 32752, 33336, 33912, 34474, 35016, 35532?
-k**3 + 5*k**2 + 578*k + 31584
What is the i'th term of 4500, 17963, 40352, 71667, 111908, 161075, 219168?
4463*i**2 + 74*i - 37
What is the z'th term of 333014, 665311, 997604, 1329893, 1662178, 1994459?
-2*z**2 + 332303*z + 713
What is the m'th term of -1917, -3083, -2715, -45, 5695?
128*m**3 - m**2 - 2059*m + 15
What is the h'th term of 496746, 993490, 1490236, 1986984, 2483734, 2980486, 3477240?
h**2 + 496741*h + 4
What is the a'th term of 5704389, 5704387, 5704385, 5704383, 5704381?
-2*a + 5704391
What is the g'th term of -1882092, -7528404, -16938930, -30113670, -47052624, -67755792, -92223174?
-1882107*g**2 + 9*g + 6
What is the r'th term of 15704, 62375, 140008, 248603, 388160, 558679, 760160?
15481*r**2 + 228*r - 5
What is the g'th term of 164028, 328076, 492132, 656196, 820268, 984348, 1148436?
4*g**2 + 164036*g - 12
What is the s'th term of -348259, -349787, -351315, -352843, -354371?
-1528*s - 346731
What is the i'th term of 2975, 1824, -3431, -12784, -26229, -43760, -65371, -91056?
i**3 - 2058*i**2 + 5016*i + 16
What is the d'th term of 792152, 792135, 792118, 792101, 792084?
-17*d + 792169
What is the c'th term of -9313, -37059, -83287, -147997, -231189?
-9241*c**2 - 23*c - 49
What is the g'th term of -78052, -77808, -77564, -77320, -77076, -76832?
244*g - 78296
What is the a'th term of 2887522, 2887513, 2887498, 2887477, 2887450, 2887417, 2887378?
-3*a**2 + 2887525
What is the t'th term of -65403402, -130806802, -196210202, -261613602, -327017002, -392420402?
-65403400*t - 2
What is the s'th term of -21224, -87809, -199758, -357071, -559748, -807789?
-22682*s**2 + 1461*s - 3
What is the g'th term of 39288, 24433, 9578, -5277?
-14855*g + 54143
What is the q'th term of -32933469, -32933466, -32933463, -32933460?
3*q - 32933472
What is the w'th term of 91923, 91929, 91935, 91941?
6*w + 91917
What is the w'th term of 3480, 4038, 4594, 5148, 5700, 6250?
-w**2 + 561*w + 2920
What is the h'th term of -10955796, -21911585, -32867372, -43823157, -54778940?
h**2 - 10955792*h - 5
What is the i'th term of 6540, 6336, 5986, 5496, 4872, 4120, 3246?
i**3 - 79*i**2 + 26*i + 6592
What is the d'th term of 10224, 10841, 11878, 13341, 15236, 17569?
d**3 + 204*d**2 - 2*d + 10021
What is the t'th term of 1206257, 1206214, 1206171, 1206128, 1206085?
-43*t + 1206300
What is the q'th term of -13428, -53410, -120046, -213336, -333280?
-13327*q**2 - q - 100
What is the q'th term of 31653, 35143, 40967, 49131, 59641, 72503, 87723?
q**3 + 1161*q**2 + 30491
What is the f'th term of 11343, 23920, 36517, 49140, 61795, 74488, 87225?
f**3 + 4*f**2 + 12558*f - 1220
What is the b'th term of 20568, 41513, 62458, 83403?
20945*b - 377
What is the m'th term of 248, -28, -488, -1132, -1960?
-92*m**2 + 340
What is the i'th term of -99469, -198931, -298393?
-99462*i - 7
What is the h'th term of -2457, -10646, -24291, -43392?
-2728*h**2 - 5*h + 276
What is the g'th term of -25103152, -25103154, -25103156, -25103158?
-2*g - 25103150
What is the c'th term of -5203586, -10407174, -15610762?
-5203588*c + 2
What is the h'th term of -5425, 6838, 19103, 31370?
h**2 + 12260*h - 17686
What is the z'th term of -40679, -162611, -365831, -650339, -1016135, -1463219?
-40644*z**2 - 35
What is the v'th term of 91000, 105989, 120978, 135967?
14989*v + 76011
What is the o'th term of -2363, -9351, -20911, -37025, -57675, -82843, -112511?
3*o**3 - 2304*o**2 - 97*o + 35
What is the y'th term of 14782196, 14782198, 14782200, 14782202, 14782204, 14782206?
2*y + 14782194
What is the t'th term of 3419, 6576, 9477, 12122, 14511, 16644?
-128*t**2 + 3541*t + 6
What is the x'th term of -124994, -250880, -376766, -502652, -628538, -754424?
-125886*x + 892
What is the c'th term of -1258560, -2517043, -3775530, -5034021, -6292516?
-2*c**2 - 1258477*c - 81
What is the t'th term of -4736, -4744, -4906, -5300, -6004?
-13*t**3 + t**2 + 80*t - 4804
What is the s'th term of -1558436, -1558428, -1558420, -1558412, -1558404, -1558396?
8*s - 1558444
What is the b'th term of 41809, 83761, 125723, 167701, 209701, 251729, 293791?
b**3 - b**2 + 41948*b - 139
What is the c'th term of 401, 541, 855, 1343, 2005?
87*c**2 - 121*c + 435
What is the g'th term of -374, -2579, -8420, -19715, -38282, -65939?
-303*g**3 - 84*g + 13
What is the o'th term of -423470, -847302, -1271132, -1694960?
o**2 - 423835*o + 364
What is the o'th term of 2177, 2059, 1913, 1739?
-14*o**2 - 76*o + 2267
What is the g'th term of -36851802, -73703603, -110555404?
-36851801*g - 1
What is the q'th term of -208898, -208899, -208900, -208901, -208902?
-q - 208897
What is the l'th term of 15625, 62507, 140699, 250201, 391013, 563135?
15655*l**2 - 83*l + 53
What is the t'th term of -104154190, -104154192, -104154194?
-2*t - 104154188
What is the g'th term of -67587, -67635, -67683, -67731, -67779?
-48*g - 67539
What is the q'th term of -2223, -8769, -19621, -34755, -54147?
4*q**3 - 2177*q**2 - 43*q - 7
What is the y'th term of -81360831, -325443339, -732247519, -1301773371, -2034020895, -2928990091?
-81360836*y**2 + 5
What is the l'th term of 8212, 16409, 24620, 32845, 41084, 49337, 57604?
7*l**2 + 8176*l + 29
What is the v'th term of -27974, -28929, -29884, -30839, -31794, -32749?
-955*v - 27019
What is the j'th term of 2638, 11548, 26266, 46684, 72694, 104188?
-18*j**3 + 3012*j**2 - 356
What is the y'th term of -18806, -76157, -171742, -305561?
-19117*y**2 + 311
What is the y'th term of 1182789, 2365462, 3548135, 4730808?
1182673*y + 116
What is the t'th term of -31071597, -31071592, -31071587?
5*t - 31071602
What is the f'th term of 1271565, 2542852, 3814125, 5085378, 6356605, 7627800, 8898957?
-f**3 - f**2 + 1271297*f + 270
What is the t'th term of 514901, 2059625, 4634165, 8238521?
514908*t**2 - 7
What is the d'th term of 1693, 7065, 16127, 28879, 45321?
1845*d**2 - 163*d + 11
What is the c'th term of -3844549, -3844548, -3844547, -3844546?
c - 3844550
What is the k'th term of -448, -1000, -1558, -2122, -2692, -3268?
-3*k**2 - 543*k + 98
What is the l'th term of -23005, -45971, -68937, -91903, -114869, -137835?
-22966*l - 39
What is the y'th term of -28832924, -28832940, -28832956, -28832972, -28832988, -28833004?
-16*y - 28832908
What is the v'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
975 + 2*p - 3*p)*(7*p**2 + 3*p**2 - 3*p**2).
-7*p**3 - 1806*p**2
Expand (c + 0*c - 3*c)*(-4*c + 2*c**2 + 4*c) + 79210*c**2 - 79227*c**2 - 3*c - 3*c - c**3.
-5*c**3 - 17*c**2 - 6*c
Expand (-5 + 1 + 0)*(-3165*n**2 + 280*n**3 + 3165*n**2).
-1120*n**3
Expand (6*h**3 - 8*h**3 - 19*h**3)*(4*h**2 - 2*h**2 + 0*h**2) + (-2*h + 2*h + 3*h)*(-2*h**4 - h**4 + 2*h**4) + 0*h**3 + 0*h**3 + 4*h**5.
-41*h**5
Expand (3 - 2 + 0)*(-m + 3 - 3) - 19*m - 442 + 442 + (-3 - 9 - 1)*(2 + m - 2).
-33*m
Expand (k - k + 2*k)*(0*k - 6*k + 4*k) - 3*k**2 + k**2 + 4*k**2 - 159316 + 159316 - 70*k**2.
-72*k**2
Expand (10*q**3 + 50*q**3 + 18*q**3)*(0 + 3 + 0) + 2*q - 2*q + 3*q**3.
237*q**3
Expand (-2*g + 3*g + 0*g)*(7 - 8*g**3 + 16 - 21).
-8*g**4 + 2*g
Expand (271*a - 243*a + 363*a)*(4 - 4 - a) - 4*a**2 + a**2 + 2*a**2 + (-6*a + 3*a + a)*(-2*a + 4*a + 0*a).
-396*a**2
Expand -w**5 - 3*w**3 + 3*w**3 - w + w**5 + w + (-4*w**2 - 4*w**4 + 4*w**2)*(5*w + 0*w - 4*w) + 2*w**5 - w**5 + w**5 - w - 2*w**5 - 2*w**4 + 2*w**4.
-4*w**5 - w
Expand (18 - 50 - 12)*(-2 - 4 + 5)*(5 - 5 + u).
44*u
Expand (-k - k + k)*(-16 + 13 + 12)*((0*k - 3*k + k)*(1 + 0 + 0) - 3*k + 4*k - 2*k).
27*k**2
Expand (-17 + 2 + 0)*(3*c - 3*c + c)*(19*c - c**3 - 100*c + 37*c).
15*c**4 + 660*c**2
Expand (0*a**2 + 5*a**2 - 3*a**2)*(-133 + 20*a + 46*a + 134).
132*a**3 + 2*a**2
Expand (-l**2 + l**2 - 3*l**3 - l**3 + 2*l**3 + 2*l**3 - 3*l**3 + 4*l**3 + l**3 + (4*l**2 - l**2 - 5*l**2)*(-l + 0 + 0))*(4*l + 5*l - 4*l)*(-4*l + 3*l + 2*l).
20*l**5
Expand (5*h**3 - 3*h**3 + 0*h**4 + h**4)*(-44*h - 45*h + 15*h + (0 - 2 + 0)*(-2 + 2 + h) + 0 + h + 0).
-75*h**5 - 150*h**4
Expand (2 - 8 + 2)*(-h**2 - 9 + 3*h**3 + 9).
-12*h**3 + 4*h**2
Expand (-2*u - 3*u + 2*u)*(-4*u**2 - u**2 + 6*u**2 + (0*u - 2*u + 0*u)*(2 - 2 - 2*u) + 5*u - 5*u + u**2).
-18*u**3
Expand (102*h - 172*h + 184*h)*(-1 + 2 - 3).
-228*h
Expand (-2*w - 2 + 2)*((0 - 2 - 2)*(3 - 3 - w) + 3*w + 0*w + 0*w).
-14*w**2
Expand -3*y**4 + y**4 + 3*y**4 + ((4*y - 115 + 115)*(10 + 8 - 5) + 0*y + 2*y + 0*y)*(0*y - 3*y + 2*y)*(2*y**2 - 3*y**2 - y**2).
109*y**4
Expand (0 - 3 + 2)*(2*t + t - 6*t) + 57*t + 4*t + t.
65*t
Expand (-54*b**2 - 201 - 205 + 412 - b**3)*(-b**2 + 4*b**2 - 4*b**2).
b**5 + 54*b**4 - 6*b**2
Expand -16 - 13*h + 16 + (-2 - 35 - 3)*((-2 - 5 + 5)*(-h + 3*h - 3*h) - h - 2 + 2 + 0 - 2*h + 0).
27*h
Expand (p + p + p)*(38*p**2 - 48*p**2 - 52*p**2).
-186*p**3
Expand (15*c**2 - 8*c**2 + 11*c**2)*(-78*c + 28*c**3 + 154*c - 78*c).
504*c**5 - 36*c**3
Expand 4*z - 3*z - 5*z + 3*z - 3*z + z + (-2 + 3 - 3)*(-3*z + 2*z + 0*z) - z - 2*z + z + (2 - 4 + 3)*(10*z + 7*z - 3*z).
11*z
Expand (48*s - 171*s + 63*s)*(-3 - 7*s + 3)*(3*s**2 - 6*s**2 - s**2).
-1680*s**4
Expand (-3*s + 6*s - s)*(-3*s**4 + 3*s - 3*s) + (0*s + 4*s + 3*s + (3*s - 5*s + 0*s)*(-4 + 5 - 3))*(-6*s**4 + 3*s**4 - 3*s**4).
-72*s**5
Expand (3*x + 2*x - 3*x)*(-1 + 0 - 1)*((-3 + 3 - 2*x)*(2*x + x - x) + 45*x - 16*x**2 - 45*x).
80*x**3
Expand (-3*d**2 + 15*d - 15*d)*((-6 + 3 + 2)*(d**3 + 0*d**3 + 0*d**3) + 2 - 2*d**3 - 2) + (1 - 3*d**2 - 1)*(d + 7*d**3 - 3*d - 6*d**3).
6*d**5 + 6*d**3
Expand (1 + 2*m - m + m)*(1 - 1 + 4*m) - 4*m**2 + 20*m**2 - 85*m**2.
-61*m**2 + 4*m
Expand (-1 + 48 + 22)*(-n - 2*n + n)*(-2*n**2 + 5*n**2 - 2*n**2)*(4*n - 4*n + n).
-138*n**4
Expand (-2*m - 4 + 4)*(2*m - 2 + 2) + 31*m**2 - 2*m**2 + 36*m**2 + (2*m**2 + 0*m**2 + 0*m**2)*(-3 + 0 + 2).
59*m**2
Expand (-40*z - 22*z - 5*z)*(0 + 2 - 3)*(-3 + 0 + 0) + (6 - 4 + 0)*(5*z + z - 4*z).
-197*z
Expand 5*p**3 - 6*p**2 + 6*p**2 + (4*p**2 + 2*p**2 - 5*p**2)*(0*p - 3*p + 4*p) + 79 - 79 + 15*p**3.
21*p**3
Expand (-y + 8*y + 8*y)*(3794 - 3794 + 7*y**4 + 5*y**3).
105*y**5 + 75*y**4
Expand (l**3 + 2*l**4 - l**3)*(5*l + 1 - 1) + (2 - 7 - 3)*(l**5 - 4*l**5 + 5*l**5).
-6*l**5
Expand (-26 + 4*b + 21 - 2*b)*(2*b**3 + 4*b**3 - 4*b**3).
4*b**4 - 10*b**3
Expand -1 + 1 - 2*k**4 + k**4 + 2*k**4 - 4*k**4 + (-2*k**2 + k**3 + 2*k**2)*(-2*k + 0*k - 3*k) + 3*k**2 - 3*k**2 + 2*k**4 + k**4 - 4*k**4 + k**4.
-8*k**4
Expand -4*p**5 - 6*p**2 + 6*p**2 + (-5 + 5 + 5*p**3)*(-3*p**2 + 6*p**2 - 2*p**2) + (0*p**3 + 0*p**3 + p**3)*(0*p**2 - 3*p**2 + p**2) + 2*p**5 + 4*p**5 - 7*p**5.
-2*p**5
Expand (-1 - o + 1 + 4*o - o - o + (0 - 2 + 3)*(-1 + 1 + 3*o))*(-8*o**2 - 16 + 2 + 4).
-32*o**3 - 40*o
Expand (-1 - 1 + 3)*(g + 5*g - 5*g) - 15*g + 72*g + 34*g.
92*g
Expand (-5*s**2 - s**2 - s**2)*(-243 + 2*s**3 + 243 + 11*s**2).
-14*s**5 - 77*s**4
Expand (2*t - 4 + 4)*(-16 + 25 + 33).
84*t
Expand (-1 + n + 1)*(4*n**3 - 2*n**3 + 0*n**3) - 2*n**4 + 9*n - 41*n**4 + 24*n**4.
-17*n**4 + 9*n
Expand (3*x + x - 8*x)*(-7 + 4 + 1)*((8 - 4 - 3)*(3 + 3 - 5) + (-2 + 5 - 4)*(-3 + 2 + 0) + 2 + 2 - 3).
24*x
Expand (-9 + 9 - 6*o)*(4 + 4 - 14) - 4*o + 2*o + 4*o + (o - 5 + 5)*(2 + 1 - 1) - o + 3*o + 0*o - 2*o + o - o.
40*o
Expand (-q - 2*q + 4*q)*(-8*q - 126 - 116 + 247).
-8*q**2 + 5*q
Expand ((-2*t + t + 3*t)*(2 + 1 - 1) + t + 0*t + t)*(-43*t + 39 - 18 - 22).
-258*t**2 - 6*t
Expand (0*p**4 + 2*p**4 + 3*p**4 + (-p**2 + p**2 - p**2)*(-p**2 + 2 - 2))*(-123 + 103 + 182 + 226).
2328*p**4
Expand (1 - 4 + 2)*(-279 + 140 + 139 - 302*i).
302*i
Expand -6*u**4 - u**4 - u**4 + 9*u**3 - 9*u**3 + 3*u**4 + (2*u**2 + 0*u**2 + 0*u**2)*(2*u - 2*u**2 - 2*u) + (-u - 1 + 1)*(4*u**3 + 5*u**3 - 5*u**3).
-13*u**4
Expand -3 + 3 + 4*t + (-17 + 0 - 13)*(2*t - 2 + 2) - 3*t + 3*t - t.
-57*t
Expand (6*s**2 + s**2 - 3*s**2)*(98*s**3 - 8*s**3 + 21*s**3).
444*s**5
Expand (-2 + 5 - 1)*(73*q + 19*q - 29*q)*(2*q + 3*q - 4*q).
126*q**2
Expand (0*h + 0*h - h)*(-408 + 80 - 145).
473*h
Expand (-2 + 2 + 2*i)*(-4 - 2*i**3 + 4) + 4*i**2 - 4*i**2 - i**4 - 285*i**4 - 3298*i**3 + 3298*i**3.
-290*i**4
Expand 3*i**2 + i**3 - 3*i**2 + (-3*i**2 + 2*i**2 + 3*i**2)*(-3 + i + 3) - i**3 + 20*i**2 - 27*i**2 + 3*i**3.
5*i**3 - 7*i**2
Expand (36*i**2 - 4*i**2 + 25*i**2)*(1 + 8 - 2)*(-2*i**3 + 1 - 1).
-798*i**5
Expand (4*g + g**2 - 4*g)*(-14891*g**2 - 471*g**3 + 14891*g**2).
-471*g**5
Expand (-3506*x + 1144*x + 1407*x)*(4*x - 5*x + 3*x)*(3*x + x - 2*x).
-3820*x**3
Expand -5*n - 1 + 1 + 3*n + 5*n - 9*n + (1 + 5 - 4)*(-2 + 2 - 2*n).
-10*n
Expand (1644 - 572 + 546 + 989)*(y**2 - 4*y**2 + 5*y**2).
5214*y**2
Expand (-94*f**2 - 97*f**2 - 64*f + 188*f**2)*(3 - 4 + 2).
-3*f**2 - 64*f
Expand (-22*r - r**3 + 17*r + 4*r)*((2*r - r + r)*(-6 + 3 + 1) - 3*r + r + r).
5*r**4 + 5*r**2
Expand (4*h - h - h)*(-3*h**3 - 2*h**3 + 4*h**3) + h**3 + 4*h**3 - 99*h**4 + 95*h**4.
-6*h**4 + 5*h**3
Expand (-2*s - 3 + 3)*(6 - 4 + 3)*(9*s + 60 - 60).
-90*s**2
Expand (-3 + 5 - 3)*(0*y + 2*y + 0*y)*(-5*y**2 - 9*y**2 + 4*y**2).
20*y**3
Expand (-31 - 135 - 9)*(-u**2 + u**2 - 2*u**5).
350*u**5
Expand (-4*h - 4*h + 3*h)*(-13 + 13 - 28) - 3*h + h + h.
139*h
Expand -5*t**4 + 4*t**4 + 2*t**4 + t**4 - 3*t**4 + t**4 + (-1 - 2*t + 1)*(17*t**3 - 5*t**3 + 4*t**3).
-32*t**4
Expand (-t - 4*t + 4*t)*(2*t**3 - t + t) + 4 - 4 + 2*t**4 - 2*t**4 - 3 + 3 + (3 - 3 + 2*t**3)*(2 - 2 - 2*t) + t - 2*t**4 - t - 2*t**4 - t**2 + t**2.
-10*t**4
Expand ((-1 + 1 + 1)*(3 - 1 - 4) + 0 + 1 - 2)*((3*y**2 - 4*y**2 + 0*y**2)*(-4 + 3 + 3) + 3523 - 3523 + 211*y**2).
-627*y**2
Expand -3 + 3 - 2*m + (0 - 5 + 3)*(-4 + 2*m + 4) + 3*m + 3*m - 5*m - 3*m + 0 + 0 - 2*m + 3*m - 2*m + (-4 + 11 + 1)*(-17 + 17 + 7*m).
47*m
Expand -113*a - a**2 - 22*a**3 - 9*a**3 + 100*a + (a**2 + 2*a**2 - 6*a**2)*(-4*a + a + 4*a).
-34*a**3 - a**2 - 13*a
Expand ((0*b - b + 2*b)*(3 + 1 - 2) + 5*b - 3*b + 0*b + 3*b + 2*b - 6*b)*(32 - 2*b**3 - 32).
-6*b**4
Expand 3 - 3 + h + (4*h - 4*h + h)*(2 - 5 + 4) + (-2 - 2 + 2)*(21 - 21 + 24*h) - 3 + 3 - 2*h.
-48*h
Expand (-4*d - d + 2*d)*(0*d**2 + 0*d**2 - 4*d**2) - 14*d**3 + 3*d**3 - 15*d**2 + 16*d**2.
d**3 + d**2
Expand ((0 + 2 - 1)*(-5 - 1 + 4) + 265 + 280 + 167)*(4*x - 4*x - x**4).
-710*x**4
Expand (94 + 557 + 1688 + 2899)*(-5*c**2 + c**2 + 2*c**2 + (-4*c - c + 3*c)*(c - 4 + 4)).
-20952*c**2
Expand (-122 - 23143*r + 447 + 23141*r)*(-4*r + 5*r + 0*r).
-2*r**2 + 325*r
Expand 4*g**5 - 4*g**5 + 4*g**5 + (-4 - 1 + 2)*(-29*g**5 + 3*g - 3*g).
91*g**5
Expand -28*p + 5*p**4 + 28*p + (2*p**2 - p**2 - 2*p**2)*(-5*p + 6*p**2 + 5*p) + (6 - 6 + 3*p**3)*(3*p - 6*p + 2*p) + p**4 - p**3 + p**3.
-3*p**4
Expand (-1 - 1 + 0)*(2 + 4*t**2 - 1 - 2*t**2 - 3*t**2 + 5*t**2 - 4*t**2 + (3*t - 3*t + t**2)*(3 - 4 + 0) - 4*t + 4*t - t**2).
4*t**2 - 2
Expand (-4 - 4 + 2)*(10
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let q be k(0). Suppose -3*p = -p - 5*c - 97, q = -3*p - 3*c + 93. Let u = 69 - p. Is u composite?
True
Let x(g) = 3*g + 1. Let q be x(1). Let w(s) = 2*s + 12. Let o be w(-7). Is 21 - (q + o/1) prime?
True
Suppose 2*q = -k + 6*k + 2219, 1127 = q + k. Suppose -4*x + 3*x + q = 3*t, -4*t + x + 1489 = 0. Is t a composite number?
False
Suppose 0*q = 6*q - 978. Is q a prime number?
True
Let q(d) = d**2 - 9*d - 6. Let f(b) = 1. Let x(r) = 6*f(r) + q(r). Let a be x(9). Suppose a*g - 44 = -2*g. Is g prime?
False
Let z(q) = q**3 + q**2 - 5*q + 14. Is z(7) a prime number?
False
Let b = 191 + -22. Is b a composite number?
True
Suppose -4*y - 7 = -5*y. Suppose 4*w - 224 = y*i - 3*i, -206 = -4*w - 2*i. Is w prime?
True
Suppose -5*q - 4*x + 1035 = 0, 2*q - 3*x = -x + 432. Is q prime?
True
Suppose 4*l + 6 - 18 = 0. Let q be l + 6 - 3 - 3. Suppose -2*w - q*w + 166 = b, 2*w = -10. Is b a prime number?
True
Suppose -t + 3*n = -283, -n - 548 = -2*t - 4*n. Is t composite?
False
Let b(f) = f**3 + 11*f**2 - 6*f - 5. Let i be b(-11). Let q = i + 18. Is q composite?
False
Let m(s) = -3*s**3 + 2*s**3 + 6*s - 3 + 6*s**2 + 0*s**3. Let d be m(7). Is (-146)/d - 4/(-10) a prime number?
False
Suppose 0 = -5*a + 5*t + 6575, -3*a - t - 280 + 4225 = 0. Is a composite?
True
Let n(z) = 2*z**2 - 2*z - 5. Let p = 1 + 4. Is n(p) a composite number?
True
Suppose 3*q = -o + 89, 3*o + 2*q - 307 = 3*q. Suppose -5*l - 3*f + o = 0, -l + 0*l = -f - 17. Suppose -p - 5*h = -3*p + 26, -5*p + h = -l. Is p prime?
True
Let j(c) = -18*c + 14. Is j(-6) composite?
True
Is ((-126)/(-4) + 2)*2 a composite number?
False
Let i(k) = k**2 + 8*k - 7. Suppose 4*l - 21 = m, -2*m = -5*l - 0*l + 24. Is i(l) composite?
True
Let f(o) = 24*o - 1. Is f(3) a composite number?
False
Suppose 8 = -2*r + 2. Let i = r - -25. Is i composite?
True
Let u(r) be the third derivative of -11*r**4/24 + r**3/6 + 6*r**2. Is u(-8) prime?
True
Suppose -4*y - 2 = -10. Let f = y - -3. Suppose 0 = -5*n + 2*c + 103, 0*n = -2*n - f*c + 47. Is n composite?
True
Let f be (4/(-4))/((-1)/2). Suppose z - o = 5*z - 2162, f*z = o + 1084. Is z a prime number?
True
Let v(w) = 5*w**2 + 16*w - 5. Let t(u) = -4*u**2 - 15*u + 5. Let d(k) = 6*t(k) + 5*v(k). Let s be d(9). Let p(y) = -5*y + 3. Is p(s) a composite number?
False
Suppose 0*a - a + 3*o + 29 = 0, -5*a + 2*o = -158. Let s be (-4)/2 + 710/10. Let g = s - a. Is g prime?
True
Suppose 2*y + 0*y = -4. Let o be 0 + 2 + (-130)/y. Suppose -x + 4*a = -0*a - o, -3*x + 3*a = -228. Is x prime?
True
Let w(b) be the third derivative of b**6/24 - b**5/12 + b**4/12 - b**3/6 + b**2. Suppose 5*d - 2 - 1 = -4*o, 18 = 3*d - 3*o. Is w(d) prime?
False
Let z(i) = -i + 87. Let q(s) = 3*s - 262. Let r(v) = -4*q(v) - 11*z(v). Suppose 0 = -3*k - k. Is r(k) a composite number?
True
Suppose -2*w + 794 = 252. Is w composite?
False
Let y(q) = 10*q - 5. Suppose -3*h = x - 16, -h + 3*h - 8 = -2*x. Is y(h) prime?
False
Let h(a) = 648*a - 37. Is h(5) prime?
True
Suppose 5*w - 1632 = 773. Is w a prime number?
False
Suppose -4179 = 10*w - 54949. Is w a prime number?
True
Let o(d) = -30*d + 6. Let r be o(-3). Suppose -116 = -4*j + r. Is j composite?
False
Is (446*(-5)/10)/(-1) a prime number?
True
Suppose 0 = -2*g + 3*g + 3*s - 3, 4*g - 2*s - 26 = 0. Let z be (3 - 1) + 12/g. Suppose -4*j + 2*o + 31 + 53 = 0, 0 = z*o + 16. Is j a composite number?
False
Suppose -2*p = p - 15. Suppose 387 = p*a - 8. Is a composite?
False
Let z = 6 - 1. Suppose g - z*a - 123 = 0, 5*a = -g - g + 216. Is g a prime number?
True
Is (-30)/4*434/(-21) a prime number?
False
Let k(d) = 473*d - 5. Is k(2) prime?
True
Suppose -3*c = -6*c + 3. Let x be -100 - (0 + (-1 - c)). Let n = x - -237. Is n a composite number?
False
Suppose 2064 = v - 3*u + 377, 5*u + 3376 = 2*v. Is v composite?
False
Suppose 2*s - 24 = -3*k - 9, -5*s - 2*k + 21 = 0. Suppose 129 - 309 = -s*v. Let u = v - 23. Is u prime?
True
Suppose 0 = g - 0*g - 77. Is g a composite number?
True
Is 5298/15 - 1/5 prime?
True
Is (-27788)/(-12)*-1*-3 a composite number?
False
Suppose -4*v + 5 = -3. Suppose 0 = 4*x - v*o - 3*o - 1, 2*o + 6 = 3*x. Suppose -j = -x*l + 35 + 36, 0 = -5*l + 3*j + 80. Is l prime?
True
Is 15762/4*(-2 - 16/(-6)) composite?
True
Let x(d) = 13*d + 1. Suppose -2*p - 9 = p. Let f be x(p). Let q = 63 + f. Is q prime?
False
Let t(w) = w**2. Let p(k) = -4*k**2 + 5*k + 1. Let j(c) = -p(c) + 5*t(c). Let o(b) be the first derivative of j(b). Is o(5) a prime number?
False
Let m(y) = y**3 - 8*y**2 + 9*y - 7. Let o be ((-4)/(-12))/(1/27). Is m(o) a prime number?
False
Suppose -3*g - v + 16 = 0, -4*g - 2*v = 3*v - 25. Let c(p) = 5*p - 7 + 6*p - g*p + 2*p**2 + 2*p. Is c(6) a prime number?
True
Let s = 15 - 10. Is ((-10)/s)/(4/(-74)) a composite number?
False
Suppose -4397 = -5*h - 4*r, -5*h + 2*r + 1876 = -2503. Is h a prime number?
True
Suppose 0 = -3*w - 0*w. Suppose w = -3*a + 58 + 23. Suppose 3*q - a = 204. Is q prime?
False
Let l be 0/((-2 + -1)/3). Suppose -2*j = -4*y + 18, -2*y - 2*j = -l*y - 6. Suppose 0 = 5*w - y*w - 15. Is w composite?
True
Let q be (-11 + 6)*93/(-5). Suppose 3*h - q = 60. Is h prime?
False
Suppose 4*m - 5 - 3 = 0. Suppose -10 = -m*i - 4, 5*d - 5*i - 260 = 0. Let b = d + -36. Is b a composite number?
False
Let x(d) = 6*d**2 - 1. Let s be x(1). Let p(w) = -w**3 + 7*w**2 - 6*w - 6. Let t be p(5). Let f = t - s. Is f a composite number?
True
Let y = -276 + 639. Suppose 22 - 92 = -t. Suppose y = r + t. Is r a prime number?
True
Let i(n) = n**3 - 5*n**2 - n + 7. Let w be i(5). Suppose t = -0*h + w*h + 5, -h = t - 17. Is t a prime number?
True
Suppose 4*c = -3*o + 2*c + 727, -473 = -2*o + c. Is o a prime number?
True
Suppose 5 = -5*d, 20 = 5*z + 3*d + 2*d. Suppose -z*i = -5*y - 170, -y - y + 8 = 0. Let s = i + -25. Is s prime?
True
Let q(r) = -r - 8. Let u be q(-4). Let o = 6 + u. Suppose 282 - 75 = 4*p + i, -3*p + 169 = -o*i. Is p a composite number?
False
Let c(s) = -18*s + 1. Let p be c(-2). Suppose 5*z - p = 4*z. Is z prime?
True
Suppose 2*i = -5*q + i + 3980, 3*q - 2*i - 2401 = 0. Is q prime?
True
Let c(l) = 2*l + 2. Let y be c(-3). Is ((-186)/(-5))/(y/(-10)) prime?
False
Is (0 + 1)/(((-8)/(-293))/8) a composite number?
False
Is (14 - 11)/(2/58) a prime number?
False
Let x(w) be the second derivative of -w**4/12 + 121*w**2/2 - 3*w. Is x(0) prime?
False
Let m(k) be the second derivative of -k**7/840 + 7*k**6/360 - k**5/120 + k**4/8 - k**3/3 + 2*k. Let x(q) be the second derivative of m(q). Is x(6) prime?
False
Let s(c) = 155*c**2 + 7*c + 2. Let u(x) = -78*x**2 - 4*x - 1. Let a(z) = 6*s(z) + 11*u(z). Is a(-2) composite?
False
Let q(a) = -28*a**2 + a + 3. Let g(o) = -42*o**2 + o + 4. Let t(i) = 5*g(i) - 8*q(i). Suppose 0 = j + 2*j - 9. Is t(j) a composite number?
False
Is (-2 + 3)/(6/894) composite?
False
Suppose 4*t + 31 = p, -2*t - 94 = -4*p - t. Is p composite?
False
Suppose 5*g = r - 5*r + 318, r + 2*g = 81. Is r a composite number?
True
Let s = 3370 + -1933. Is s prime?
False
Let w(k) = k**3 + 4*k**2 - 6*k - 3. Let m be w(-5). Suppose 3*d = -m*d - 10. Let t = d + 57. Is t prime?
False
Suppose -2*n = o + 42, 3 = 2*o - 4*n + 103. Let t(m) = -m + 4. Let u be t(3). Is o/(-4)*(u + 1) a composite number?
False
Let z(d) = 2*d**3 + d**2 - d + 1. Let w be (1 - -3)/2 - 1. Let m be z(w). Suppose 0 = -m*j + j + 50. Is j composite?
True
Let u = -3 - -23. Suppose -70 = -5*a - u. Is a a composite number?
True
Let o be 3/(-3) + 0 - -3. Suppose 71 = f + o*x, 5*f = 5*x - 20 + 435. Is f a prime number?
True
Suppose 4*y - 6 = -5*i, y - 2 = -i - 1. Suppose 6*u - i*u + 8 = 0. Is 875/15 + u/(-3) a prime number?
True
Suppose -2*r = -0*r + 10. Let v = 27 + r. Is v prime?
False
Is 10 + 22 + 1*(-1 + 0) a composite number?
False
Let k be 2 + -10 + (-12)/4. Let l = k + -8. Let h = -9 - l. Is h a composite number?
True
Suppose 0 = s - 3*q - 1043, 4*s - 1157 = -3*q + 3030. Is s composite?
True
Suppose 3*g + 63 = 2*x + 194, 4*g - 3*x = 173. Let b = g + -15. Suppose 0 = 5*l - 23 - b. Is l a composite number?
False
Suppose 0 = 3*i + 2 - 68. Is i a prime number?
False
Suppose u - 18 = 6*u + 3*m, u = m - 2. Is u/(-5 - 1)*938 a prime number?
False
Let q be (-6)/27 + 38/9. Suppose 0 = -q*i + 693 - 241. Let b = i + -64. Is b composite?
True
Let d(r) = -r**3 - 4*r**2 - 4*r. Let v be d(-3). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
/70211
Divide -92 by 383553.
-92/383553
Divide 88915350 by -101.
-880350
What is 7466616 divided by 3?
2488872
What is -7205094 divided by -277119?
26
Divide -118313141 by 1.
-118313141
Divide -81218524 by 4.
-20304631
Calculate -312878 divided by 27.
-312878/27
121 divided by -382076
-121/382076
Calculate -2 divided by 1499562.
-1/749781
Divide 11756478 by 734.
16017
Divide 2 by 7508740.
1/3754370
Divide -1881 by 100199.
-171/9109
Divide 65090 by -23.
-2830
What is 116704 divided by -14588?
-8
Divide 132103650 by 22017275.
6
What is 267 divided by 2779?
267/2779
Calculate -438 divided by 36139.
-438/36139
Divide 4 by -7814883.
-4/7814883
Calculate -144671244 divided by 6.
-24111874
-35685768 divided by 1486907
-24
Divide 4 by -33769002.
-2/16884501
Calculate 12031 divided by -1609.
-12031/1609
27 divided by 270059
27/270059
Calculate 33323810 divided by 130.
256337
Calculate 20608982 divided by 4.
10304491/2
Calculate 8 divided by 1840048.
1/230006
-15 divided by 13806079
-15/13806079
Divide -1471491107 by 2.
-1471491107/2
-101263 divided by 34
-101263/34
Calculate 3349476 divided by 842.
3978
Divide 3537833 by -1.
-3537833
What is -359751920 divided by -8993798?
40
Divide 4 by -223382.
-2/111691
What is -86110 divided by -35?
17222/7
-810633694 divided by -2150222
377
Calculate -7463220 divided by -865.
8628
What is -471321180 divided by 20?
-23566059
Divide 7694720 by -192368.
-40
Calculate -3444524 divided by -3.
3444524/3
Calculate -239996244 divided by -4.
59999061
What is -4367754 divided by -727959?
6
What is -2414540 divided by -2?
1207270
Calculate -27 divided by -2284029.
3/253781
Calculate -378881616 divided by -24.
15786734
Calculate -9 divided by 1715080.
-9/1715080
What is -1259 divided by -3855?
1259/3855
Calculate -376306968 divided by -47038371.
8
Calculate 703922186 divided by -63992926.
-11
Divide 41439075 by -25.
-1657563
336365892 divided by 15732
21381
Divide 24555 by -164.
-24555/164
Calculate 2 divided by -30757230.
-1/15378615
-2145652 divided by 698
-3074
Calculate 26066141 divided by -1.
-26066141
Calculate 38034 divided by -1469.
-38034/1469
Calculate 118909826 divided by 1.
118909826
Calculate 3 divided by 33540594.
1/11180198
Divide -9 by 1644801.
-3/548267
What is 70594 divided by 234?
35297/117
1353086 divided by -676543
-2
What is -8441850 divided by 1406975?
-6
Divide 23526393 by 6.
7842131/2
What is 50 divided by 303964?
25/151982
-87634330 divided by -43817165
2
What is 20239036 divided by 15?
20239036/15
What is 997 divided by 7474?
997/7474
Divide 638213 by 62.
638213/62
-90713329 divided by 1
-90713329
Divide 2019655 by -3.
-2019655/3
Divide -138323968 by 140288.
-986
Calculate 80 divided by 83554.
40/41777
1744807 divided by -458
-1744807/458
Calculate 1190 divided by -15824.
-595/7912
Calculate -143727488 divided by -8.
17965936
Divide -3579336 by 5448.
-657
What is -710952 divided by 18?
-118492/3
Divide -39774 by 969.
-13258/323
Calculate 14026780 divided by 4.
3506695
What is 2121430 divided by 4?
1060715/2
Calculate 22222 divided by 647.
22222/647
Divide 5482 by 1078.
2741/539
Calculate -4492092 divided by -4.
1123023
-11450034 divided by 3
-3816678
-457842 divided by 3
-152614
-1320 divided by 28742
-660/14371
Calculate -243483552 divided by 81161184.
-3
Divide 19427 by 7541.
19427/7541
Divide -1016088768 by 72.
-14112344
What is 92640132 divided by 23160033?
4
What is -527 divided by -51488?
527/51488
Calculate 10079300 divided by 2450.
4114
Calculate -1200604 divided by 1200604.
-1
24813940 divided by 3754
6610
What is -15 divided by -922387?
15/922387
17004246 divided by -42
-404863
What is -33258912 divided by -3?
11086304
-27130396 divided by -43618
622
What is -3947460 divided by 328955?
-12
What is -14804820 divided by -2118?
6990
2 divided by -3722839
-2/3722839
What is 1 divided by 399311?
1/399311
-265097331 divided by 35617
-7443
Calculate -143159982 divided by -19299.
7418
Calculate -8 divided by -11659103.
8/11659103
Divide -5441100 by 272055.
-20
What is 2 divided by -19255450?
-1/9627725
-12839226 divided by 72538
-177
15678704 divided by -3
-15678704/3
Calculate 42958 divided by -148.
-21479/74
What is 26251 divided by 270?
26251/270
What is -59064563 divided by -19?
59064563/19
28585069 divided by -28585069
-1
What is 23555 divided by 376?
23555/376
Divide 2253628 by 59306.
38
What is -300372 divided by 453?
-100124/151
29974892 divided by 18244
1643
337392 divided by 792
426
Divide 158588 by 1252.
39647/313
Divide 283205040 by 5553040.
51
What is 6383476 divided by 3?
6383476/3
Divide -1882 by 29644.
-941/14822
Divide -582320 by -290.
2008
1908918 divided by -18
-106051
Calculate 671099524 divided by 346.
1939594
Calculate 1223217 divided by -407739.
-3
Calculate -79 divided by -118042.
79/118042
-35676340 divided by 1274155
-28
Divide 3789072 by -1263024.
-3
What is 221752 divided by -31?
-221752/31
412781754 divided by -130174
-3171
Calculate 52194755 divided by 5.
10438951
Divide -74051090 by -1.
74051090
300039744 divided by 6
50006624
-20273958 divided by 38839
-522
-53220356 divided by -94
566174
-8882678 divided by 13082
-679
Calculate 289527922 divided by -113.
-2562194
Calculate 1829 divided by 25023.
1829/25023
-803170 divided by -401585
2
Calculate 31351115 divided by 16685.
1879
Calculate -2614164 divided by -653541.
4
Calculate -13438511 divided by 263.
-51097
Calculate -33401330 divided by 29.
-1151770
What is -12999842 divided by 1?
-12999842
Divide -5 by -1874105.
1/374821
What is -1730334 divided by 47?
-1730334/47
629 divided by -112703
-629/112703
-4260 divided by -5952
355/496
859090 divided by 10
85909
Divide -793776582 by 9.
-88197398
What is -55892328 divided by -136?
410973
Calculate 855046315 divided by 1.
855046315
18526209 divided by -1425093
-13
Calculate 4302 divided by 657.
478/73
Calculate 3858 divided by 932.
1929/466
-238927568 divided by 484
-493652
What is -1375270496 divided by -6?
687635248/3
Divide -2775 by -2923.
75/79
Divide -3220 by 107357.
-3220/107357
Divide -36 by -12798790.
18/6399395
Calculate 12452625 divided by 498105.
25
-378359589 divided by -126119863
3
What is -11868825 divided by -95?
124935
What is -23356595 divided by -76579?
305
Divide 4469390 by 535.
8354
33735388 divided by -46
-733378
10 divided by -2406733
-10/2406733
-328773217 divided by 4
-328773217/4
What is 19655442 divided by 6?
3275907
Calculate -247997900 divided by -2479979.
100
16099030 divided by -3219806
-5
Calculate -126115351 divided by -5587.
22573
Calculate 0 divided by 2040647.
0
Calculate 10619474 divided by 6.
5309737/3
Divide 13629330 by -31770.
-429
What is -7194296 divided by -24638?
292
-2 divided by 357604158
-1/178802079
What is -191 divided by -3146980?
191/3146980
What is 10075569 divided by 479789?
21
What is -529494875 divided by -75642125?
7
Calculate -21957606 divided by 510642.
-43
Divide -1724 by 2647.
-1724/2647
Divide -11475290 by 3470.
-3307
Calculate -137021292 divided by 8060076.
-17
-3981410 divided by -58
68645
Divide -5779630 by -577963.
10
Divide -14877640 by 7438820.
-2
What is -281300390 divided by -550490?
511
38934684 divided by 37764
1031
What is -24812777 divided by -2?
24812777/2
What is 38307291 divided by 2937?
13043
Divide -5968425 by -2.
5968425/2
89671824 divided by 88
1018998
Divide -59393245 by -11878649.
5
Divide 48499592 by -4.
-12124898
Calculate 63345392 divided by 719834.
88
1069 divided by 19599
1069/19599
Divide -136134136 by -136134136.
1
What is 3 divided by 1516404?
1/505468
Divide -238405 by 508.
-238405/508
What is -130154700 divided by 188630?
-690
What is 1314965 divided by -1?
-1314965
What is -12085813 divided by 13?
-12085813/13
What is 14080 divided by 526?
7040/263
What is -12505416 divided by 2814?
-4444
What is 67521624 divided by 16880406?
4
What is -21745244 divided by 17?
-1279132
What is -15 divided by 19506?
-5/6502
Calculate 4 divided by -25909468.
-1/6477367
9961104 divided by -1245138
-8
What is 244 divided by -23390?
-122/11695
Divide 3707652 by 39.
95068
What is 154519208 divided by 77259604?
2
What is 2725032 divided by 20037?
136
105228747 divided by -5317
-19791
Divide -81069 by -8.
81069/8
Calculate 12132230 divided by 551465.
22
22445025 divided by 5
4489005
Divide -17196 by
|
{
"pile_set_name": "DM Mathematics"
}
|
r.
4, k, 1, -3
Let s = 0.3 + -0.7. Let h = 0 - s. Let w = -0.9 + h. Sort 1, -3/7, w.
w, -3/7, 1
Let c be 8/3*9/6. Suppose 3*y = -c*h + 13, h - 4*h + 5*y = -17. Let u = -2 - -1.5. Sort -0.2, u, h.
u, -0.2, h
Suppose -5*z = 2*b - 17, z + 4*z = 5*b + 45. Suppose -4*w = 4*k + 68, -2*k - 19 = 2*w - z*w. Let o = k - -9. Sort 3, o, -4 in descending order.
3, -4, o
Let q = 2/185 + 356/1295. Suppose -40 = -3*o - 5*b, -o - b - 4*b + 30 = 0. Let x be 13/o - (-2)/(-1). Sort 0.2, x, q in decreasing order.
x, q, 0.2
Let s = 36.078 - 0.078. Let h = s - 51. Let o = -11 - h. Put o, 0, -0.4 in increasing order.
-0.4, 0, o
Let q = 6 + -5. Let o = 0.7 - q. Sort 3, 1, o in ascending order.
o, 1, 3
Let w = 3 - 2.8. Let y = 7 + -4. Put -1, y, w in increasing order.
-1, w, y
Let u = 196 - 194. Sort -0.08, 1, 1/4, u in descending order.
u, 1, 1/4, -0.08
Suppose 1 - 12 = -5*v - f, -4*f - 4 = -4*v. Put 3, -5, v in ascending order.
-5, v, 3
Let c = -0.01 + -4.99. Put c, -4, 1 in decreasing order.
1, -4, c
Suppose 20 = 2*n + 2*n. Let a(j) = j**3 + 7*j**2 - 7*j + 8. Suppose -2*p + 6 = 22. Let u be a(p). Put -2, n, u in decreasing order.
n, u, -2
Let p = 189/376 - 6/47. Sort p, -0.3, -0.2 in increasing order.
-0.3, -0.2, p
Let y(p) = -7*p - 8. Let i(k) = 3*k + 4. Let u(q) = 5*i(q) + 2*y(q). Let z be u(-5). Put 1, z, 0 in descending order.
1, 0, z
Let d be (9/(-6))/(-3)*3. Put -15, 2/5, -0.2, d in decreasing order.
d, 2/5, -0.2, -15
Let w = 0.08 + -3.08. Let a = -2.8 - w. Let g = -669/10 - -67. Sort a, 0, g in increasing order.
0, g, a
Let l = -0.33 - -0.2. Let b = l - -0.13. Put 4/3, b, -2 in increasing order.
-2, b, 4/3
Let o = 10/23 - 24/161. Sort o, -4, -0.2.
-4, -0.2, o
Suppose -3*w + 24 = -5*h, -w - 2*h - 3 = -0*h. Sort 0.3, -0.1, w, 2/9.
-0.1, 2/9, 0.3, w
Let r = 26 + -27. Sort r, -8, 4 in decreasing order.
4, r, -8
Suppose 0*z + z + 1 = 0. Let f(v) = 3*v - 77. Let l be f(24). Let i(k) = -k + 5. Let h be i(0). Put z, l, h in descending order.
h, z, l
Suppose -7 = 5*w + 3. Put 1, w, -3, 6 in decreasing order.
6, 1, w, -3
Let a = 14 - 18. Sort -1/4, a, -2 in decreasing order.
-1/4, -2, a
Let g(z) = 4*z + 2. Let s be g(1). Put 5, 1, s, 3 in decreasing order.
s, 5, 3, 1
Let i = -0.46 + 0.26. Sort 5, -0.5, i, -4.
-4, -0.5, i, 5
Let v = 0.36 + -0.29. Sort v, 5, -3/2.
-3/2, v, 5
Suppose -4*h - 3 - 3 = 3*q, 2*h = -q - 4. Suppose q*s = 5 - 1. Put s, -1, -5 in decreasing order.
s, -1, -5
Suppose -4*y + 5 = 1. Suppose 0 = q - 49 + 51. Sort y, -1, q.
q, -1, y
Let d be (2 + -5*1)*1. Suppose 1 = -3*l - 3*j - 2, 2*j + 2 = -4*l. Sort l, 2, d.
d, l, 2
Suppose -4*g + 16 = 4*z, 3*g + 2*g = 3*z - 20. Sort 13, g, -4 in descending order.
13, g, -4
Let w be 390/(-54) + 4/18. Let n be (-3 + 3 + -2)/w. Sort n, 1/3, 0.1.
0.1, n, 1/3
Let g(d) = -10*d**2 + 0 - 9*d + 3 + 2 + 2*d**3 - d**3. Let k be g(9). Let c = 1411/9 + k. Sort 0.4, -4, c in descending order.
0.4, c, -4
Let a = -32 + 27. Let c = 0.06 - -0.24. Let n = -0.7 - c. Sort 4, n, a.
a, n, 4
Let b be (-34)/8 - 1/(-4). Let a be (-24)/b + 1*-1. Suppose 3*u + 13 = u - v, 2*u - 4*v = 2. Put u, -2, a in decreasing order.
a, -2, u
Suppose -4*x - h - 4 = 6, 0 = 3*x + 5*h + 16. Let z(l) = -3*l**3 - 2*l**2 + 2. Let m be z(1). Put -5, m, x in descending order.
x, m, -5
Let k(c) = c**2 + 8*c + 9. Let v be k(-7). Suppose -5 - 1 = -2*b. Suppose 10 = -0*y - 2*y. Put v, b, y in decreasing order.
b, v, y
Let h be 3 + 2/10*-13. Sort 2/9, h, 2 in ascending order.
2/9, h, 2
Let u = 6.6 + -8. Let i = u - -1. Let o be 44/(-33)*3/(-10). Sort o, i, -0.5.
-0.5, i, o
Suppose f + 3*f = -5*s - 154, 3*s = 3*f + 129. Let a = f - -23. Sort -4, a, 4.
a, -4, 4
Let o = -352 - -2468/7. Suppose 0 + 5 = -4*v - d, -2*v + 5*d - 19 = 0. Let q be 1*-3*5/(-15). Put q, v, o in decreasing order.
q, o, v
Let s = 169.1 + -169. Sort -3, -1/4, 0.2, s in decreasing order.
0.2, s, -1/4, -3
Suppose -3*w - 21 = -0*w + 5*g, 0 = 2*w - 3*g + 33. Let p be 40/w*(-12)/(-10). Let i be 1/1 + (-3 - -3). Put p, 5, i in increasing order.
p, i, 5
Let x = -0.06 + -0.34. Let s = 2.2 + 2.8. Sort 1, s, x in descending order.
s, 1, x
Let r = -2 + 1. Let v be (6 + -4)*-1*2. Sort r, v, -2 in decreasing order.
r, -2, v
Suppose 5*o + 7 - 12 = 0. Suppose -5*l - h - 14 = 3, -2*l + 2*h - 14 = 0. Sort -2, o, l in ascending order.
l, -2, o
Let f be 0*1*1/2. Suppose f = n + n. Put n, 2, 4 in increasing order.
n, 2, 4
Suppose -3*f + 5*k = -34, 4*f + 3*k = 4*k + 68. Put 1, 5, f, -5 in decreasing order.
f, 5, 1, -5
Let g = -4 + 6. Let v = 4 + 16. Suppose 0 = 2*n + 2*z + 4, g*n + z = 7*n - v. Sort 5, 1, n.
1, n, 5
Let x(t) = -t. Let r be x(-3). Let o be r*1/(-3)*1. Let c be (-3)/7 - (-77)/(-49). Put c, o, 4 in increasing order.
c, o, 4
Let i = -49 + 45. Sort -2, i, -0.5 in decreasing order.
-0.5, -2, i
Let o(b) = 3*b - 46. Let t be o(17). Put t, 2, 0, 21 in descending order.
21, t, 2, 0
Let a be 1*(0 - -3) + 1. Let y be (-2)/4 + (-45)/(-6). Let b = -8 + y. Put b, a, -4 in increasing order.
-4, b, a
Let k = 0.154 + -0.014. Sort -0.3, -2, k, -0.2 in decreasing order.
k, -0.2, -0.3, -2
Let p(d) = d + 5. Let a be p(-8). Put -4, a, -5, 4 in ascending order.
-5, -4, a, 4
Suppose -3*l - 4*b = -1, -1 = 4*l + 2*b + b. Suppose 0 = -4*s + s - 6. Put s, l, -4 in increasing order.
-4, s, l
Suppose -5*n - 9 = 16, 9 = 3*a - 3*n. Sort -3, a, 3 in increasing order.
-3, a, 3
Let w = -26 - -27. Sort w, 2, -4 in descending order.
2, w, -4
Let j = 0.23 - 4.23. Let f = 141/2 + -73. Sort f, j, -2.
j, f, -2
Let h be (-4 - (-206)/44) + 2/(-4). Sort -3, h, 5, -4 in increasing order.
-4, -3, h, 5
Let o be (-8)/(-6)*3 - -3. Suppose -p = -6 - o. Sort p, 1, -4.
-4, 1, p
Let f = -12 - -11.9. Sort 0.3, f, 3/4 in decreasing order.
3/4, 0.3, f
Let x = 8 + -8. Sort 0.5, -4, x in descending order.
0.5, x, -4
Suppose 3*m + 5 = 2*m. Put 0, m, -2, -6 in increasing order.
-6, m, -2, 0
Let z be (-8)/10*9/(-12). Put -3/4, z, 0 in decreasing order.
z, 0, -3/4
Let y(d) = -d - 3. Let f be y(-6). Suppose 4*z - j + f = 3*z, 0 = -4*z + j - 3. Suppose -3*g = -z*g - 12. Sort 2, g, 5.
2, g, 5
Let v(u) = u**2 - u + 10. Let q be v(0). Suppose 3*n - 2 = q. Let p(y) = 2*y - 3. Let t be p(3). Sort n, 1, t in descending order.
n, t, 1
Let g = -122 + 119. Sort 18, g, -2.
g, -2, 18
Let u = -34 + 33.5. Let x = -0.31 - -0.3. Let n = x - -5.01. Put u, 0.5, n in descending order.
n, 0.5, u
Let a be (-2)/7 - (-30)/7. Let g be a/(-6)*6/4. Sort g, -5, 4 in decreasing order.
4, g, -5
Let k(j) = -j**3 + 5*j**2 - j + 2. Suppose -l + 4*l - 2*p = 1, l + 3*p + 7 = 0. Let m = l - -6. Let u be k(m). Sort u, 0, 3 in ascending order.
u, 0, 3
Suppose -6*i + 22 + 2 = 0. Sort i, -9, 5.
-9, i, 5
Let x = -0.59 - -2.59. Sort x, 0.2, 3, -4.
-4, 0.2, x, 3
Suppose 0 = -u - u - 12. Let g be (u/(-2))/(-3)*-5. Let i(m) = m**2 + 8*m + 3. Let s be i(-8). Put g, s, -0.1 in descending order.
g, s, -0.1
Let o = 8 - 6. Let f = -0.8 - -1.7. Let b = f + -0.4. Sort o, -0.1, b in decreasing order.
o, b, -0.1
Let i be (-9)/6 - -2 - -1. Suppose -3*n + 5 = p, 3*n - n = -2*p + 2. Let f = p - -3. Sort i, f, 5/2 in ascending order.
i, f, 5/2
Let v(c) = -c + 12. Let k be v(7). Sort -5, 4, k.
-5, 4, k
Suppose -2*o + 8 = q, 0 = 3*q + 5*o - 2*o - 18. Put q, 1, -3 in increasing order.
-3, 1, q
Let j(a) = -a - a**2 - 7 - 4 + 10. Let m be j(-2). Sort m, 4, 0.3 in ascending order.
m, 0.3, 4
Let y(k) = -k**2 - 6*k - 5. Let z be y(-6). Let l = z + 3. Sort l, -2/11, 0.1 in decreasing order.
0.1, -2/11, l
Let g be (1 - (-3)/(-9))*3. Suppose 9 = 5*c - 4*u + u, 5*u + 15 = c. Let k be 1 + (c - 2 - -4). Sort g, 4, k in increasing order.
g, k, 4
Let x be -2*(-2)/(-4) - 0. Let a(m) = m + 2. Let l be a(-6). Let j(v) = -v + 11. Let r be j(16). Put l, x, r in ascending order.
r, l, x
Let p(q) = q. Let u be p(3). Sort -2, u, 5, 4 in ascending order.
-2, u, 4, 5
Let z(h) = 19*h - 1. Let n be z(1). Suppose 14*i - n*i = 20. Put i, -2, 3 in descending order.
3, -2, i
Let z(f) = 3*f - 4. Let u be z(3). Suppose -2*d - u*i = -21, d - 12 = 2*d - 5*i. Put d, 1, -4 in descending order.
d, 1, -4
Let w = 3 + -1. Put w, 0.12, 0.2 in ascending order.
0.12, 0.2, w
Suppose -2*j + q + 0 = -9, 0 = -4*j - 5*q + 11. Let h(v) = v**2 + v + 1. Let w be h(-2). Put w, j, -1 in ascending order.
-1, w, j
Suppose 3*n - 5*n - 4 = 0. Let b(i) = -3*i - 2. Let p be b(n
|
{
"pile_set_name": "DM Mathematics"
}
|
4, -282, -434?
s**3 - 22*s**2 - s + 148
What is the d'th term of -15797, -15722, -15647?
75*d - 15872
What is the z'th term of 1885, 3727, 5497, 7159, 8677, 10015?
-6*z**3 + 1884*z + 7
What is the n'th term of 194, 816, 1850, 3296, 5154?
206*n**2 + 4*n - 16
What is the y'th term of 232, 259, 84, -299, -896, -1713, -2756, -4031?
-y**3 - 95*y**2 + 319*y + 9
What is the z'th term of 2925, 6040, 9153, 12264?
-z**2 + 3118*z - 192
What is the i'th term of -102, -257, -438, -657, -926, -1257?
-2*i**3 - i**2 - 138*i + 39
What is the j'th term of 53, 455, 1549, 3683, 7205, 12463, 19805, 29579?
58*j**3 - 2*j**2 + 2*j - 5
What is the z'th term of 334, 657, 1196, 1951, 2922?
108*z**2 - z + 227
What is the v'th term of 50518, 49981, 49454, 48943, 48454, 47993, 47566?
v**3 - v**2 - 541*v + 51059
What is the c'th term of -1365, -1239, -1113, -987, -861?
126*c - 1491
What is the p'th term of -30185, -30206, -30225, -30242?
p**2 - 24*p - 30162
What is the v'th term of -435, -1700, -3795, -6714, -10451, -15000?
v**3 - 421*v**2 - 9*v - 6
What is the x'th term of 56929, 56946, 56975, 57022, 57093, 57194?
x**3 + 10*x + 56918
What is the z'th term of -2150, -2040, -1930, -1820, -1710?
110*z - 2260
What is the n'th term of -4404, -8757, -13110, -17463, -21816, -26169?
-4353*n - 51
What is the p'th term of -356, -360, -364, -368, -372, -376?
-4*p - 352
What is the y'th term of 17, 73, 181, 347, 577, 877?
y**3 + 20*y**2 - 11*y + 7
What is the o'th term of 395, 561, 1025, 1931, 3423, 5645, 8741?
24*o**3 + 5*o**2 - 17*o + 383
What is the c'th term of 5601, 5766, 5945, 6144, 6369, 6626?
c**3 + c**2 + 155*c + 5444
What is the y'th term of -475, -1753, -3883, -6865?
-426*y**2 - 49
What is the q'th term of -61, -190, -387, -658, -1009, -1446, -1975?
-q**3 - 28*q**2 - 38*q + 6
What is the d'th term of -23211, -23192, -23171, -23148, -23123?
d**2 + 16*d - 23228
What is the h'th term of 151, 524, 1131, 1972, 3047?
117*h**2 + 22*h + 12
What is the c'th term of -388, -1499, -3364, -5995, -9404?
-2*c**3 - 365*c**2 - 2*c - 19
What is the u'th term of 2590, 2727, 2938, 3217, 3558?
-u**3 + 43*u**2 + 15*u + 2533
What is the o'th term of -116, 221, 788, 1585?
115*o**2 - 8*o - 223
What is the i'th term of -18788, -37585, -56382?
-18797*i + 9
What is the x'th term of 4631222, 4631220, 4631216, 4631210, 4631202?
-x**2 + x + 4631222
What is the z'th term of -4825, -4833, -4851, -4885, -4941, -5025, -5143?
-z**3 + z**2 - 4*z - 4821
What is the o'th term of -63961, -63948, -63919, -63868, -63789?
o**3 + 2*o**2 - 63964
What is the j'th term of 308, 316, 338, 374, 424?
7*j**2 - 13*j + 314
What is the o'th term of 21704, 21709, 21704, 21683, 21640, 21569?
-o**3 + o**2 + 9*o + 21695
What is the a'th term of 780150, 780151, 780152, 780153?
a + 780149
What is the j'th term of -9515, -18999, -28485, -37973, -47463, -56955, -66449?
-j**2 - 9481*j - 33
What is the v'th term of 241725, 241727, 241729, 241731, 241733?
2*v + 241723
What is the q'th term of 133578, 267152, 400724, 534294, 667862, 801428?
-q**2 + 133577*q + 2
What is the b'th term of 3049, 3382, 3713, 4042, 4369?
-b**2 + 336*b + 2714
What is the l'th term of 27888, 55751, 83616, 111483?
l**2 + 27860*l + 27
What is the g'th term of -3, -30, -83, -180, -339, -578, -915, -1368?
-3*g**3 + 5*g**2 - 21*g + 16
What is the v'th term of 138459, 553769, 1245945, 2214981, 3460871, 4983609, 6783189?
-v**3 + 138439*v**2 + 21
What is the k'th term of -3020, -12093, -27214, -48383, -75600?
-3024*k**2 - k + 5
What is the v'th term of 1709484, 3418969, 5128454?
1709485*v - 1
What is the w'th term of 225960, 225964, 225968, 225972?
4*w + 225956
What is the g'th term of 28, -169, -704, -1745, -3460, -6017, -9584?
-28*g**3 - g**2 + 2*g + 55
What is the j'th term of -3657, -14644, -32963, -58620, -91621, -131972, -179679?
-j**3 - 3660*j**2 + 4
What is the z'th term of 3170, 3066, 2964, 2864, 2766, 2670, 2576?
z**2 - 107*z + 3276
What is the y'th term of -20316, -81272, -182868, -325104?
-20320*y**2 + 4*y
What is the p'th term of 84, -793, -1670, -2547, -3424?
-877*p + 961
What is the o'th term of 87, 390, 863, 1518, 2367, 3422, 4695?
2*o**3 + 73*o**2 + 70*o - 58
What is the k'th term of -103, -1238, -3165, -5914, -9515, -13998, -19393?
-5*k**3 - 366*k**2 - 2*k + 270
What is the o'th term of 1039, 887, 731, 571, 407, 239?
-2*o**2 - 146*o + 1187
What is the l'th term of 629, 1603, 2925, 4595, 6613, 8979?
174*l**2 + 452*l + 3
What is the y'th term of 889, 1765, 2635, 3499, 4357?
-3*y**2 + 885*y + 7
What is the r'th term of 4611, 9240, 13885, 18546, 23223, 27916?
8*r**2 + 4605*r - 2
What is the f'th term of -16926, -33857, -50788?
-16931*f + 5
What is the n'th term of 4015, 8032, 12049, 16066?
4017*n - 2
What is the l'th term of 11548, 11723, 11898?
175*l + 11373
What is the b'th term of -28417, -28412, -28397, -28366, -28313?
b**3 - b**2 + b - 28418
What is the t'th term of 658, 1266, 1850, 2398, 2898?
-2*t**3 + 622*t + 38
What is the d'th term of -1661, -3383, -5113, -6851?
-4*d**2 - 1710*d + 53
What is the y'th term of -2454, -2607, -2760, -2913, -3066, -3219?
-153*y - 2301
What is the f'th term of -194, -792, -1798, -3212?
-204*f**2 + 14*f - 4
What is the a'th term of 26742, 53498, 80254, 107004, 133742, 160462?
-a**3 + 6*a**2 + 26745*a - 8
What is the b'th term of -25, -65, -191, -445, -869, -1505, -2395, -3581?
-7*b**3 - b**2 + 12*b - 29
What is the g'th term of 1320066, 2640132, 3960198, 5280264, 6600330?
1320066*g
What is the i'th term of -680, -2734, -6142, -10892, -16972?
2*i**3 - 689*i**2 - i + 8
What is the l'th term of -47137, -188563, -424273, -754267, -1178545?
-47142*l**2 + 5
What is the m'th term of -2025, -3900, -5775?
-1875*m - 150
What is the h'th term of -10672, -21345, -32018, -42691?
-10673*h + 1
What is the c'th term of 9615, 9611, 9605, 9597?
-c**2 - c + 9617
What is the w'th term of 6130, 12256, 18382?
6126*w + 4
What is the o'th term of 9701, 9783, 9865, 9947?
82*o + 9619
What is the v'th term of 106, 636, 1496, 2668, 4134, 5876, 7876?
-3*v**3 + 183*v**2 + 2*v - 76
What is the n'th term of 1722, 6030, 13216, 23286, 36246, 52102?
n**3 + 1433*n**2 + 2*n + 286
What is the b'th term of 166317, 166312, 166305, 166296, 166285, 166272, 166257?
-b**2 - 2*b + 166320
What is the v'th term of -51, 23, 369, 1125, 2429, 4419, 7233, 11009?
23*v**3 - 2*v**2 - 81*v + 9
What is the a'th term of 835, 805, 751, 661, 523, 325, 55, -299?
-2*a**3 - 16*a + 853
What is the o'th term of 277, 639, 1001?
362*o - 85
What is the j'th term of -11310, -22623, -33936, -45249?
-11313*j + 3
What is the a'th term of -90, -411, -1262, -2907, -5610, -9635, -15246, -22707?
-44*a**3 - a**2 - 10*a - 35
What is the q'th term of -6272, -24614, -55184, -97982?
-6114*q**2 - 158
What is the g'th term of -776, -1715, -2660, -3617, -4592, -5591, -6620?
-g**3 + 3*g**2 - 941*g + 163
What is the c'th term of 2326, 2354, 2408, 2500, 2642, 2846, 3124?
2*c**3 + c**2 + 11*c + 2312
What is the w'th term of 511, 444, 373, 298, 219, 136, 49?
-2*w**2 - 61*w + 574
What is the r'th term of 645, 5079, 17073, 40407, 78861, 136215, 216249?
630*r**3 + 24*r - 9
What is the g'th term of 44320, 44324, 44328, 44332, 44336, 44340?
4*g + 44316
What is the d'th term of 7244, 14490, 21736?
7246*d - 2
What is the y'th term of -439, -844, -1215, -1534, -1783, -1944?
3*y**3 - y**2 - 423*y - 18
What is the j'th term of -18174, -36349, -54524?
-18175*j + 1
What is the i'th term of 106153, 106151, 106149, 106147?
-2*i + 106155
What is the p'th term of 91, 112, 133, 154, 175, 196?
21*p + 70
What is the h'th term of 38386, 76766, 115146, 153526, 191906, 230286?
38380*h + 6
What is the p'th term of 40, 1199, 3122, 5803, 9236, 13415?
-p**3 + 388*p**2 + 2*p - 349
What is the q'th term of 445075, 445074, 445073?
-q + 445076
What is the x'th term of -998, -1050, -1102, -1154, -1206, -1258?
-52*x - 946
What is the b'th term of 11205, 11206, 11207, 11208?
b + 11204
What is the q'th term of 688, 703, 726, 757?
4*q**2 + 3*q + 681
What is the j'th term of 3374, 3284, 3194, 3104?
-90*j + 3464
What is the b'th term of 31902, 255207, 861314, 2041623, 3987534, 6890447, 10941762?
31900*b**3 + b**2 + 2*b - 1
What is the u'th term of -474458, -474455, -474452, -474449, -474446?
3*u - 474461
What is the m'th term of 102, 222,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 98. Which is the nearest to -3? (a) 1/6 (b) h (c) -0.4
c
Let g = -0.165 + 129.165. Let m = g - 123.1. Let a = 6 - m. What is the closest to -1 in a, 2, 2/5?
a
Let l = -1.814 + 1.614. Let q = -0.41 + -0.09. Which is the nearest to 1? (a) 0 (b) q (c) l
a
Let p be (-8)/60*21 - -4. Let l = 7.84 + -7.64. What is the closest to l in 0.06, 1/11, p?
1/11
Let l = 28.7 + 9.2. Let v = -36 + l. Let k = -3 - -3. Which is the nearest to k? (a) 2/5 (b) -0.1 (c) v
b
Let j = -5580 + 5583. What is the nearest to -0.4 in j, 2/7, -9?
2/7
Let k = -44 - -43.7. Let w = 86 + -86.2. Let q be (-3)/(3/10)*3/6. What is the closest to -1 in q, k, w?
k
Let h = 43.8 + -43.8. Let n = -424 + 8058/19. Which is the closest to -2/17? (a) h (b) -3/2 (c) n
a
Suppose -5*y - 3*h = -9, 19 = 4*y - 2*h + 25. What is the nearest to 2 in y, -2, 1/2, -0.01?
1/2
Let u = -25.627 - -25.727. What is the nearest to u in 4, 1/7, 1/27, 35?
1/7
Let r = 365.9 - 366. Let s = -97 + 101. What is the closest to r in 0.1, 7, s?
0.1
Let x(l) = 206*l**3 - 3*l**2 - 3*l - 1. Let p be x(-1). Let d = 214 + p. What is the nearest to 0.2 in d, 5, 2?
2
Let f = -5.1 - -5. Suppose 3*l = -5*w - 22, 5*w - 879*l + 874*l = -70. Which is the closest to w? (a) -2/11 (b) f (c) -2
c
Let t = -4.1966 + 1.1966. What is the closest to 0 in 0.8, 0.02, 0, t?
0
Let d = -0.195 - -9.895. Let j = 9.3 + d. Let y = j - 20. Which is the closest to 2? (a) -5 (b) y (c) 1/4
c
Let y = 2.44 - 4.18. Let h = -1.68 - y. Which is the closest to h? (a) 2/11 (b) -5 (c) 2/5
a
Suppose -5*j - 603 + 1866 = -t, -759 = -3*j + t. Let s be (6 + 1 + 0)*72/j. Which is the nearest to 2? (a) 0.4 (b) s (c) 2/3
b
Let m be (-28)/(-10) + -4 + 25/125. What is the nearest to 2/5 in m, -0.04, 0.3, 4?
0.3
Let r = -17684 + 477473/27. What is the nearest to -1 in -0.2, -0.3, r?
-0.3
Let t(f) = -2*f**2 + 44*f - 234. Let w be t(13). Which is the closest to -2/3? (a) w (b) -6 (c) -2/105
c
Let z = 1649/25284 + -11/588. Which is the nearest to 0.05? (a) z (b) 8 (c) 0.5
a
Suppose 3*d - 3*k = 81, 2*d + 83 = 5*d - 5*k. Let u = d + -77/3. Let w = 3629.1 - 3629. Which is the closest to w? (a) -1/4 (b) -3 (c) u
c
Let d = 10031 + -10031.1. Which is the closest to d? (a) 1 (b) -0.3 (c) -34
b
Let m = -2.77 - 0.23. Let i be 13/13 - 1*27/21. Let z = -0.2 + 0. What is the nearest to i in m, z, 3?
z
Let w = -18.23 + -391.17. Let p = 371.46 + w. Let s = 38 + p. What is the closest to 0 in s, 2/17, -0.5?
s
Let o = 248 - 667. Let z = -420 - o. Let p = 2/7 - -1/21. Which is the nearest to p? (a) 3 (b) -5 (c) z
c
Let v be 2 + (-2)/4 + (-9)/6. Which is the nearest to 0? (a) -1/3 (b) 3/11 (c) 1/5 (d) v
d
Let v(l) = -l**3 - 41*l**2 + 88*l + 87. Let c be v(-43). Let k = -2.76 - -0.76. What is the closest to k in -1, -0.06, c?
-1
Let q = 308 - 23. Let x = q + -283. Which is the nearest to 0? (a) -4 (b) 8 (c) x
c
Let p = -1 - -3. Let z = -1104 + 1103. Let d = -0.3 - -0.2. What is the nearest to d in -2/5, z, p?
-2/5
Let i = -24.75 - -22.05. What is the closest to i in -4, 1/3, 0?
-4
Let b = -0.82 + 1.88. Let i = 0.06 - b. Let v = 4.5 + -0.5. What is the nearest to i in v, 5, -2?
-2
Let y = 4 - 7. Let i = -100 - -87.9. Let k = -17.1 - i. Which is the closest to 1/2? (a) -4 (b) k (c) y
c
Suppose -3*v - 18 = -f, -237*f - 23 = -238*f + 4*v. Let t = -2 - -1.9. Which is the nearest to -1? (a) 0 (b) t (c) f
b
Let g = 553.11 - 5.11. Let v = -573 + g. Let x = 0.3 + 0.7. Which is the nearest to v? (a) x (b) 5 (c) 4
a
Let x = -4.8 + 23.1. Let z = x + -18.3. Let k = -1.97 + -0.03. Which is the nearest to z? (a) 5 (b) 3 (c) k
c
Suppose -2*t - 2*o - 2*o = 48, 0 = -4*t + o - 69. Let y = t - -145/8. Let v = 1586 + -1585. What is the closest to v in 0.1, y, 1?
1
Let o = -241/3 - -79. Let h be (455/(-23))/7 - (-6)/2. Let p = -15/46 - h. Which is the nearest to p? (a) -0.3 (b) o (c) 3/8
a
Let n = 684 - 685. Let m = 0.06 + -0.03. Let j = -4.03 + m. Which is the closest to 0? (a) 0 (b) j (c) n
a
Let f = 396 - 401. Let u = -10 - -21. Let t = 12 - u. Which is the nearest to 4/5? (a) f (b) -0.1 (c) t
c
Let h = 2.9 - 25.9. Let a = 23.1 + h. Let t = 137/3 + -46. What is the closest to a in 1, t, 2/5?
2/5
Let v be (1/(-6))/(2/(-6)). Let j = 12/71 + -1402/7455. Let p = -323/420 - j. Which is the closest to -0.3? (a) v (b) -0.3 (c) p
b
Let h be (-72)/(-30) - 2/5. Suppose i = -h*u + 7 - 0, 0 = -i - 3*u + 12. What is the closest to 0.1 in 2, i, 1/2?
1/2
Suppose -286*x + 339*x - 8321 = 0. What is the nearest to 0.1 in x, 12, -4?
-4
Let n = -9.0508 - -7.0508. Let q = -0.5 + 1. Which is the closest to 0.04? (a) n (b) -4 (c) q
c
Suppose -2*s - 2*t = -2, -3*t - 2*t + 11 = -s. Let y be s - (-2 + (-12)/(-10)). Let b = -48.898 - -48.798. What is the nearest to b in 0.4, -13, y?
y
Let o = -0.22 + 110.22. Let v = -4646 - -4536. Let k = o + v. Which is the closest to 0.2? (a) k (b) 4 (c) -1/2
a
Let g = -6 - -8. Let c = 2.1 - g. Let r = -49327/123315 + 1/123315. What is the closest to c in 4/5, 0.1, r?
0.1
Let q = -22575 - -22577. Which is the nearest to q? (a) -2 (b) 0.2 (c) -1/793
b
Let h = 3 + -4. Let u = -395.14 + 10.74. Let t = u - -384. What is the closest to -3/7 in 0, t, h?
t
Let c(f) = f**2 - f - 11. Suppose -4 = -d - 0*d. Let z be c(d). Let r = 5.4 - 5.2. What is the closest to z in r, 5, -2?
r
Let r(s) = 131*s**2 + 8*s - 7. Let t be r(1). Let i = t + -137. Let k = 0 + -0.4. Which is the closest to i? (a) 4 (b) k (c) -4
c
Let k = 43 + -7.3. Let j = 36 - k. Which is the nearest to -0.3? (a) -8 (b) j (c) -5
b
Let i = -4221.7 + 4219. Which is the nearest to 0.1? (a) -2/7 (b) 0 (c) i
b
Let d = 0.0786 - -413.9214. Let p = -410 + d. Which is the closest to -0.3? (a) -7/2 (b) p (c) -6/5
c
Let m = 55.311 + -54.311. Let o = 0.3 + 0.2. Let d = 4.8 + -5. What is the closest to 15 in d, m, o?
m
Suppose 11*q - 9*q - 12 = g, 0 = -2*g - 3*q - 10. Which is the closest to 1? (a) g (b) 0 (c) 1/9
c
Let t = 12 + -12.4. What is the closest to 4/9 in 1, -15, t, -2/3?
1
Let y = 0.00947 - -0.49053. Which is the closest to 0? (a) 3 (b) y (c) 0.0989
c
Let t = 111 - 110.894. Let x = -0.606 + t. Which is the closest to 4? (a) 0.5 (b) 2 (c) x
b
Let p = 1/71822 + 10916801/10270546. Let g = 10/11 - p. What is the closest to -1 in g, -2, -1/6, -1/5?
-1/5
Let k = 4.458 + -2.458. What is the closest to k in -3, 48, 31?
-3
Let t = -3/149 + 462/745. Which is the closest to 18? (a) 1 (b) 6/11 (c) t
a
Let r(i) = 118*i + 114. Let j be r(-1). Let g = 23 + -44. Let w = -17 - g. Which is the closest to -5? (a) j (b) w (c) 2
a
Let k = -14500 - -14499.8. What is the nearest to 0.1 in 2/13, -67, k?
2/13
Let s = -54 - -69.8. Let o = s - 15.9. Which is the closest to 1? (a) -4 (b) o (c) -5
b
Let x = -142 + -279. Let v = x + 420. What is the nearest to v in 3, 1/3, 42/13?
1/3
Let y = 10 + -3. Let a = -54 - -62. Let l = a - y. What is the nearest to -2 in -1/5, 5, l?
-1/5
Let o = 2247 + -1986.2. Let x = o + -261. Which is the closest to -2? (a) -1/4 (b) x (c) 2
a
Suppose m + 143 = -31. Let w = m - -524/3. Let l = -0.2 + -0.3. Which is the closest to w? (a) l (b) 1/3 (c) 48
b
Let z be (-12)/970*(-390)/156. Let x = -179/485 - z. What is the closest to 0.2 in -3, x, 2, -4?
x
Let i(x) = -x**3 + 17*x**2 - 3*x + 46. Let q be i(17). Let r = -9 - -8.9. What is the closest to r in q, 0, 0.09?
0
Suppose 5*s + 5*x = 20, 1 = 5*s + 2*x - 19. Let p be s/8*(-5 + (3 - -2)). Which is the nearest to p? (a) 10 (b) -1/3 (c) -2 (d) 1/7
d
Let l = -1257/5 - -252. Which is the nearest to -18? (a) 5 (b) -1/28 (c) l
b
Let u = 277771/80 - 3472. Let w = 15/16 - u. Which is the closest to 0.1? (a) 0.5 (b) w (c) 1
a
Let p be ((-16)/(-168))/((-136)/112 + 1). Which is the closest to -151? (a) 1/4 (b) -2 (c) p
b
Suppose -5*p - 9 = -5*r - 4*p, -r = 5*p + 19. Let u be (-1299)/(-2165)*(-10)/(-18). What is the nearest to r in -18, 0, u?
u
Suppose 2*x = 0, -t - 5*x + 1 = -2. Let u = 3/10 - 7/15. Let s = -1/30 + u. Which is the closest to -1/3? (a) t (b) -0.12 (c) s
c
Let r = -196.2 + 160. Let k = 38.2 + r. Let v = -0.2 + 0.4. Which is the closest to v? (a) 0.2 (b) k (c) 0
a
Let s = -16/33 - 2/11. Let f = 16721 + -16721. Which is the nearest to f? (a) 5 (b) s (c) 17
b
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
u, -12673*u = -q - 6334*u - 6343*u + 75 for q.
63
Solve -432*n + 9 = -3*z - 437*n, 4*n = 12 for z.
-8
Solve -3*c = 4*u - 6 - 6, -103*c - 124 = -20*u - 102*c for u.
6
Solve 12*o + 21772 - 21715 = -r, -4*r = -2*o - 22 for r.
3
Solve 4*r = 2*n - 86, 4*n - 905 + 848 = 3*r for r.
-23
Solve 1320*o + j + 2 = 1322*o, -7*j = -o - 4*j - 4 for o.
2
Solve -t - 6353*m + 26 = -3171*m - 3180*m, -5*t - 11*m = -143 for t.
0
Solve f = -36*s - 5, f + 68*s - 70*s = -5 for f.
-5
Solve 3*u + 6 - 201 = -2*u, -2*k - 37 = -22*k - 3*u for k.
-4
Solve -5*m - 676248*q - 30 = -676253*q, -8 = -2*m - 2*q for m.
-1
Solve 8*d = -5*s - 64, -133114*d - 4*s = -133109*d + 47 for d.
-3
Solve -33*z + 46*z + 912 = 25*t, -5*t + 78 = 3*z - 2*z - 108 for z.
1
Solve -1602*v - 1 = -1607*v - s, -v + 4*s = -17 for v.
1
Solve 3*k - 6*k = -22*j + 2, 5*k + 170 = -15*j + 10*j for k.
-30
Solve -3*z + 9 = 0, -2*g - 20*z + 7*z + 9 = -9*z - 9 for g.
3
Solve z - 9 = 5*w - 14, 4*w - 2408*z = -2409*z - 23 for w.
-2
Solve -69 = 5*u + c, -9489*c = 12*u - 9490*c + 152 for u.
-13
Solve -18*s - t = 82, -2*t = -3*s - 0*s + 1516 - 1547 for s.
-5
Solve -3*y = -u - 2, -44400*y + 44411*y - 12 = -u for u.
1
Solve -184129 + 184255 = 2*r - 14*x + 2*x, -2*r - x = 3*x + 31 + 19 for r.
-3
Solve -2*a - 71*s + 612 = 2811, 5*a - 4*s = 129 for a.
1
Solve -4*b - 18*i + 14*i + 108 = 0, 4*b = 496*i - 497*i + 99 for b.
24
Solve -6*l + 2*l + 82*y - 80*y - 5 + 21 = 0, 3*y + 24 = -3*l for l.
0
Solve -2*d - 6 = c, -5*c - 7129*d + 26 = -7133*d for c.
2
Solve -76*i - 29 = -79*i - 7*y, -y + 5*y = -5*i + 10 for i.
-2
Solve -11*a + 47 = 3*d, -3156*d - a = -3163*d + 3 for d.
1
Solve -4*o = -16*r - 162 + 170, -3*o + 5*o - r = -5 + 1 for o.
-2
Solve 5*p + 0 = 3*t + 27, -10*p - 36 = -3*p + 6*p + 4*t for p.
0
Solve -2*l + 58885*c - 11 = 58888*c, 3*l + 8 = 4*l - 3*c for l.
-1
Solve -3*d + 181 = -5*i + 106, 0 = 9*i + d - 25 for i.
0
Solve 3*v = -94*d - 132, -2*d = -2007*v + 2010*v + 132 for v.
-44
Solve 10*l - 14 = -3*u, 3*u + 600*l = 598*l - 2 for u.
-2
Solve -20*n + 240 = 0, 58*b + 3*n - 121 - 105 = -100*b + 14 - 25 - 21 for b.
1
Solve -k + 1317929 = 3*j + 1317981, 5*k + j = -8 for k.
2
Solve j + 681*z = 5*j + 685*z - 32, -2*z + 23 = -10*j + 115 for j.
9
Solve 0 = -5*v + 12780*a - 12784*a - 224, -5*v = -16*v - 3*a - 516 for v.
-48
Solve 2*j + f - 5*f - f + 23 = -4*f - 2, 7*j + 234 = -143*f for j.
-13
Solve -y + 981 = -2*q - 989 + 1986, 0 = -3*q - 6*y + 9 for q.
7
Solve 5925*n = 3*w + 5924*n + 7, 7*w - 5*n + 3 = 0 for w.
-4
Solve -18210*r + 3*a - 44 = -18217*r, r + 3*a - 68 = 0 for r.
-4
Solve 6*b + 2*y - 690 = -11*y - 20*y + 81, 0 = 2*b - y + 19 for b.
2
Solve 0 = -h + 2*y - 29, 0*y + 70 - 121 = 2*y - 77 for h.
-3
Solve -4*v + 2*f = -22 + 44 - 10, 2*v - 3*f = -6 for v.
-3
Solve -7206*q = -6976*q + 690, -15 = -2*d - 3*q for d.
12
Solve 945*h - 946*h + 73 = 4*a, 16*a - 254 = -3*h + 33 for h.
5
Solve 15*q - 10*q + 136 = -58*n, -6*q - 4*n = -q + 26 + 2 for q.
-4
Solve -2*d = -0*d + 21 - 11, s - 3*d + 15 = 4*s for s.
10
Solve -5*i = -3*v + v - 293, -98*v + 2*i + 67 = 325 + 248 for v.
-4
Solve 2*r + 76411*z - 76408*z = -14, 5*z + 45 = r for r.
5
Solve 9*i - x = 7*i - 13, 7*i + 379 - 405 = -2*x for i.
0
Solve 67 = 4*q + 61*s - 60*s, 0 = -6*q - 111*s - 447 for q.
18
Solve -4*g = 4*l - 48, -11*g + 15*g - 3*l = -2*l + 4*l - 24 for g.
4
Solve 4*s - 6*t + t + 73 = 0, s + 13*t - 17 = -3*s - 0*t + 8*t for s.
-7
Solve 3*m = 11*l + 274 - 194, 4*l = 3*m + l - 48 for m.
12
Solve -2*y = 4*b + 86, -3*b + 8*y = 2319 - 2283 for b.
-20
Solve 33 = -5*z - w, -5 - 57 - 6 = 11*z + 2*w for z.
-2
Solve 2*l + 103498*w = 103502*w - 20, -3*l + 9*w - 39 = 0 for l.
-4
Solve 9*k = 2*u + 119 + 95, 5*u + 3*k = 7*k - 91 for u.
1
Solve 10*v + 30 = 0, -3*h - 5*v + 40 + 77 = -6*h for h.
-44
Solve 4*l - 14 = 10*t, 0 = l - 5*t - 9440 + 9429 for l.
-4
Solve 5*x + 3*y - 2 = -y, 2*x - 6*x - 26 = -x + 16*y for x.
2
Solve 47*f + r + 4*r = 44*f + 25, -27*r + 32*r + 5 = 0 for f.
10
Solve 3*t - 1076*o + 1080*o = -47, -3*t - 2*o = 25 for t.
-1
Solve 0 = 4*c - 27*m - 509, 3*c + 3*m + 466 = -m + 387 for c.
-1
Solve -7*m + 43*s - 79*s + 22 = -41*s, 3*m - 3*s = 12 for m.
1
Solve 2*q = 2*p - 2, -56*p = -53*p + 6*q + 6 for p.
0
Solve z - 60 = -4*k, 41*k + 21*z = -10*k + 22*z + 710 for k.
14
Solve 18*d - 5*p + 205 = 0, -d - 6*p + 1529 = 1396 for d.
-5
Solve -84 = -440*z + 873*z - 431*z - 4*x, 3*z + 2*x - 50 = 0 for z.
2
Solve 4*b - 3074479*d - 56 = -3074495*d, 0 = 2*b - 3*d - 5 - 1 for b.
6
Solve 2*o = o + 21*m - 43, -510*o + 509*o = -3*m + 7 for o.
-1
Solve -24*z + 28*z - 2*x + 10 = 0, -2002*z + 2*x = -2004*z + 16 for z.
1
Solve 6*r + 69552 = -2*p + 69544, 0 = -3*p + 4*r - 25 for p.
-7
Solve -4 = 44*v - 42*v, 0*s - s - 3*v - 4 + 0 = 0 for s.
2
Solve -4*v + h + 4*h = -3, -23577*v + 23581*v = 3*h - 3 for v.
-3
Solve -g = -s + 138499 - 138492, 0 = -4*g - 5*s + 8 for g.
-3
Solve 59*s - 44*s - 222 = -3*n, -16*s + 17*s = -3*n + 264 for n.
89
Solve 0 = -5*z - b - 140, 5*b = -508*z + 503*z - 10 - 150 for z.
-27
Solve -z + 60 = -4*u, -98*z + 72*u - 76*u = -336 for z.
4
Solve 3*c = 4*r - 0 - 25 + 3, -74 = 13*c + 7*r - 3*r for c.
-6
Solve 4*g = 2*y - 92, 3*y + 5*g + 2607 - 2503 = 0 for y.
2
Solve -158*l + 154*l = 2*o + 170, -134*o + 446 = -l for o.
3
Solve 8*c + 16*c - 3159*k + 20 = -3158*k, 0 = -3*k - 84 for c.
-2
Solve -5*p + 135 = -3*r, 2*r - 64052*p = -64112*p + 1430 for r.
-5
Solve 3277*u + 4*h + 66 = 6558*u - 3279*u, -14 = -u + h for u.
-5
Solve -4*t = 16, -4*t - 340 = -4*x + 12*t + 7*t + 58*t for x.
4
Solve -2*c - 2*c = s + 18, 469*c - 467*c - 5*s = 90 for c.
0
Solve 304*c - 298*c + 14 = 2*h, -5*h + 3*c + 1 - 14 = 0 for h.
-5
Solve 1103*j - 1106*j = 9, -36*j - 19 = 4*g - 31*j for g.
-1
Solve r - 13 = 5*q, -8*q - 14 = 11902*r - 11907*r for r.
-2
Solve g + 3*g - 2*s = -g + 95, -4*s - 36 - 99 = -31*s for g.
21
Solve -5*t + 21 = -d, -71266*t - d + 9 = -71262*t - 6 for t.
4
Solve -21*a + 3*c + 102 = 0, -125*a = -311*a + 185*a + 4*c + 1 for a.
5
Solve -o - 3*o + 27*t = -70, 4*t = 263*o - 264*o - 4 for o.
4
Solve 7*c = -150*h + 154*h + 12*c + 12, 6*h = -3*c - 18 for h.
-3
Solve 24*r - 26*r + 6*z = -30, z = 5*r - 118 - 27 for r.
30
Solve 2*t - d + 2 = 6*t + 7, 214*t - 3*d + 889 = 0 for t.
-4
Solve -t - 4*u + 186718 = 186677, 0 = 5*t - 3*u - 228 for t.
45
Solve -n - 2*i = -0*n + 3027 - 1492 - 1506, -5*n = 4*i + 67 for n.
-3
Solve u - k - 14 = 0, 61637*u - 2*k - 253 = 61610*u for u.
9
Solve 382*u - 405*u + 101 = -4*o, 0 = -3*o + 3*u - 33 for o.
-8
Solve -3*t - 75 = -4*k, -102*t + 106*t + 113 = k for t.
-29
Solve 3*t - 2*t = -3*v - 14, 40*t - 45*t = -22*v + 107 for t.
-17
Solve -100*v - 94*v + 293*v + 13*j - 41 - 16 = 97*v, -16*v = -5*j - 129 for v.
9
Solve 9*a - 12 = 3*c, 13*a = 5*c + 19*a - 11*a for c.
2
Solve -g = -66*p + 527 - 466, -3*g + 3*p = -12 for g.
5
Solve -318 = -5*z + 4*r - 240, -8 = 2*r + 26 for z.
2
Solve 4*m - 92 = 8*o, -215*m + 8*o = -212*m - 75 for m.
17
Solve 97*l = 983*p - 1961*p + 983*p - 147, l = -2*p + 19 for p.
10
Solve 32 = -4*i, 4*k - i - 49838 + 49826 = 0 for k.
1
Solve -j - 10 = -3*o, -3*j - 175*o + 95*o - 66 = -98*o for j.
2
Solve -2*d - 14 = 0, 3*n + 3*d + 32 = -19 + 33 for n.
1
Solve 4*y = -2*v - 4, -3*v + 228 = -y + 241 for v.
-4
Solve -3*p + 3*s = -27, 33*s - 17*s = p + 20*s + 16 for p.
4
Solve 44 = -3*s - a, -25 - 44 = 3*s + 5*a - 5 for s.
-13
Solve 6*n - 68 = -4*d + 3*n - 2*n + 2*n, -2*d + 116 = 22*n for d.
14
Solve -4*o - 14 = 3*j + 1, -8*j + o + 234 = 274 for j.
-5
Solve -36*a + 11*a - 26 = 5*y - 17*a, -24 = 7*y + 5*a for y.
-2
Solve 2*d - 5 - 24 - 1 = -8*v + 5*v, 6*d - 7*v + 38 = 0 for d.
3
Solve -22*i = -4*s + 102, 2*i + 85*s - 73*s - 102 = 0 for i.
-3
Solve 0 = 3*l + 2*y - 26, y = 11*l - 35633 + 35546 for l.
8
Solve 43*d = 41*d + 6*t + 68, 31 = -d - d - 3*t for d.
1
Solve 8*r - 2*i - 186 = 0, -435*r + 5*i + 6 = -436*r + 24 for r.
23
Solve -5*x = 3*v - 12, 3365*x - 27 = 3362*x - 4*v for x.
-3
Solve 0 = 4*v - 5*f + 4*f + 15, -7393*v + 7388*v = -5*f for v.
-5
Solve -4*p - 339870*c + 65 = -339873*c, -3*c = p - 5 for p.
14
Solve 318*d = 4*p + 315*d + 77, 0 = -5*p + 3*d - 97 for p.
-20
Solve -2*v + 29*z + 48 = 0, -4*v - v + 0*v = z - 80 + 107 for v.
-5
Solve 6*x + v - 83 = -257, 73*v - 168*v + 145 = -5*x - 97*v for x.
-29
Solve -q = 4*b - 12, -2*b + 4455 = 3*q + 4459 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -1).
-40*sqrt(13) + 4612
Simplify (0 + ((sqrt(130) - (sqrt(130) - sqrt(130)*3))*5)/((sqrt(200)/sqrt(5))/sqrt(4)))**2.
2925
Simplify (2*sqrt(84)*-3)/(-4*sqrt(63) - (sqrt(7) + sqrt(7)*-2*-3 + sqrt(7))).
3*sqrt(3)/5
Simplify (-5 + (sqrt(567) + 1 - sqrt(567)) + -4 - (3 + -1*sqrt(567) + -3))**2.
-144*sqrt(7) + 631
Simplify (sqrt(528) - -2*sqrt(528)*-1)/((sqrt(12) - (-1*sqrt(12) - sqrt(12)))*-4 - sqrt(12)).
2*sqrt(11)/13
Simplify (sqrt(15)/(sqrt(10)/sqrt(2))*-3 + 1 + 2*sqrt(6)/sqrt(18) + 0)**2.
-14*sqrt(3)/3 + 52/3
Simplify (6*(sqrt(36) + (sqrt(2916)*2 - sqrt(36))))/(1*(sqrt(108)*-1 - sqrt(12))).
-27*sqrt(3)
Simplify (sqrt(76) - (2*((sqrt(76) - sqrt(76)*2) + sqrt(76) - sqrt(76)) - sqrt(76)))/(sqrt(28)/(-3*sqrt(7))).
-12*sqrt(19)
Simplify (sqrt(63)/sqrt(441) + 0 + sqrt(28)/sqrt(4))**2 - ((-1*sqrt(35)*-1)/(sqrt(5) + (sqrt(5) - (-6*(sqrt(5)*2 - sqrt(5)) - sqrt(5)))))**2.
5135/567
Simplify (sqrt(3456)*-1)/((sqrt(288) - (sqrt(288) - sqrt(288)*2)) + sqrt(288)).
-2*sqrt(3)/3
Simplify (4*(2 + 2 + 3 + sqrt(567) + sqrt(567) + 1))**2.
4608*sqrt(7) + 37312
Simplify (((-5 + sqrt(1872) + 0)**2 - sqrt(1872)) + (sqrt(1872)*-2)**2*5)*-1.
-39337 + 132*sqrt(13)
Simplify -3 + ((sqrt(152) - sqrt(152)*2*1)/sqrt(8) - ((1*sqrt(19)*5)**2 + 4)).
-482 - sqrt(19)
Simplify 6*((sqrt(1377) + 0 + sqrt(1377) + sqrt(1377))*1 + 4)*-6.
-972*sqrt(17) - 144
Simplify (3*1*sqrt(88)*1)/(6*sqrt(128)*1).
sqrt(11)/8
Simplify (sqrt(2) - -1*(sqrt(2)*-1 - sqrt(2))) + 0 + (sqrt(50) - (-1 + sqrt(50))*2)**2.
-21*sqrt(2) + 54
Simplify -5 + 3*(sqrt(1980)*-4)/sqrt(5).
-72*sqrt(11) - 5
Simplify (3*(sqrt(190) - -5*2*sqrt(190)))/(4*-2*sqrt(490))*1.
-33*sqrt(19)/56
Simplify ((5 + (sqrt(80) - (-1 + sqrt(80)) - sqrt(80)) - (sqrt(80) + 1 + 0)) + -5)**2 + 2.
322
Simplify sqrt(550)/sqrt(275)*5 - (sqrt(8)/(sqrt(24)/sqrt(6)) + sqrt(8) + -5).
2*sqrt(2) + 5
Simplify ((sqrt(70) + (sqrt(70)*-1 - sqrt(70)))*2 - (sqrt(70) - (sqrt(70)*2 + sqrt(70)))*-6)/((1*sqrt(1000) - sqrt(1000)) + (sqrt(640) + sqrt(40))/sqrt(4)).
-14*sqrt(7)/5
Simplify ((1*sqrt(9)*2*-3)/(3*sqrt(12)/sqrt(4)*1))**2.
12
Simplify (((sqrt(800) - (sqrt(800) - (sqrt(800) + sqrt(800) + sqrt(800)*1 - sqrt(800)) - sqrt(800)))/sqrt(2))/(sqrt(24)/sqrt(3)*6 + sqrt(8) + 2*sqrt(968)))**2.
450/841
Simplify (sqrt(130)*1 - sqrt(130) - sqrt(130))/sqrt(10) + sqrt(117)/sqrt(441) + (sqrt(143)/(sqrt(11)*-2) - sqrt(78)/(sqrt(42)/sqrt(7))).
-33*sqrt(13)/14
Simplify (2*(sqrt(22) + (-2*sqrt(22)*4 - sqrt(22))))/(1*(sqrt(11) + sqrt(44)/sqrt(4))*-6).
4*sqrt(2)/3
Simplify (sqrt(150)/sqrt(250) + (sqrt(15) - sqrt(240))*2)/(3*sqrt(189)/sqrt(7)).
-29*sqrt(5)/45
Simplify (((-1 + sqrt(637))*-6)**2 - sqrt(637)*-3*-1)*-2.
-45936 + 1050*sqrt(13)
Simplify (5*(1 + sqrt(847)))**2 - ((-1 + sqrt(7))*-2 + sqrt(28)*-2).
556*sqrt(7) + 21198
Simplify (0 + -6*sqrt(1539)*1)**2 + (-2 + sqrt(38)/(sqrt(2) - sqrt(16)/sqrt(200)))**2.
-5*sqrt(19) + 887003/16
Simplify (1*sqrt(30)/sqrt(5) - sqrt(6))/sqrt(3) - (-2 + (sqrt(22)*-6)/sqrt(11)).
2 + 6*sqrt(2)
Simplify ((sqrt(8) + 3*(sqrt(8) - sqrt(8)*-2 - sqrt(8)) + (sqrt(72)/sqrt(3) + sqrt(24))/sqrt(3))/(-6*sqrt(196)*1 - sqrt(196)))**2.
162/2401
Simplify (4 + sqrt(63) - sqrt(49)/(sqrt(7) - -1*sqrt(7)))**2 - (5 + (sqrt(343) - (-1 + sqrt(343)))**2).
20*sqrt(7) + 215/4
Simplify (sqrt(1134) + (sqrt(1134) - (sqrt(1134)*-2 - sqrt(1134) - sqrt(1134))*6) + sqrt(1134))/(-4*sqrt(10)/sqrt(180)).
-729*sqrt(7)/2
Simplify (-1 + sqrt(500))**2 + 3 + (5*sqrt(80) - -1*sqrt(10)/sqrt(2)).
sqrt(5) + 504
Simplify -1 + (sqrt(4050) - (sqrt(4050) + ((sqrt(4050) - ((sqrt(4050) + 0 - sqrt(4050)) + sqrt(4050))) + 4)**2)).
-17
Simplify ((-3*sqrt(800))/(sqrt(50)/sqrt(5)*3))**2.
80
Simplify ((sqrt(3) - (sqrt(3) + 2*sqrt(3)*2 - sqrt(3))) + -2*sqrt(27))**2 - sqrt(12)/((sqrt(36) - (sqrt(36) - sqrt(180)/sqrt(5)))/sqrt(9)).
-sqrt(3) + 243
Simplify sqrt(11) + (sqrt(1331)*1)**2 + (sqrt(891) + sqrt(891) + 1)**2 + (-1*sqrt(1331) - sqrt(1331)) + 3.
15*sqrt(11) + 4899
Simplify (sqrt(1728) - -1*sqrt(1728))/sqrt(9) + ((sqrt(9)/sqrt(3))**2*-3 - sqrt(3)) + sqrt(3)*2*-5 + sqrt(3).
-9 + 6*sqrt(3)
Simplify 5*((sqrt(847)*2 - sqrt(847))*5 - (-5 + sqrt(847) + sqrt(847)*3))**2.
550*sqrt(7) + 4360
Simplify (6*(2 + sqrt(34)/sqrt(2) + 3 + 5 + sqrt(425) + 4))**2.
6048*sqrt(17) + 29088
Simplify (sqrt(121)*1*4 - sqrt(121))/(sqrt(99)*1).
sqrt(11)
Simplify (sqrt(8)*2 + sqrt(8))*5 - ((sqrt(128) + 2)**2 + -5).
-127 - 2*sqrt(2)
Simplify (-5*sqrt(48)/sqrt(8))/(sqrt(30)/(-4*sqrt(10))).
20*sqrt(2)
Simplify -1*1*(1 + 1 + 2*sqrt(75) + 3)**2.
-325 - 100*sqrt(3)
Simplify ((-1 + sqrt(1458) + -1 + sqrt(1458) + 0 + -3)*5)**2.
-13500*sqrt(2) + 146425
Simplify (sqrt(342) - (sqrt(342) + 3*sqrt(342)*-4 - sqrt(342)))/(-3*(sqrt(2) + sqrt(14)/(sqrt(7)*-2))).
-26*sqrt(19)
Simplify (-5*-4*(0 + sqrt(68) + (sqrt(68) - ((sqrt(68) + 1 - sqrt(68)) + sqrt(68))) + -3)*5)**2.
-160000*sqrt(17) + 840000
Simplify 0 + (sqrt(864)*-1 - sqrt(24))/(sqrt(12) + 3*sqrt(768)).
-7*sqrt(2)/25
Simplify -1 + (sqrt(32) - (sqrt(32) + -1)) - (sqrt(32) + (sqrt(224)/sqrt(7))**2)*-2.
8*sqrt(2) + 64
Simplify (sqrt(36)/(-5*(sqrt(3) + -3*sqrt(3))))/((sqrt(66) - ((3*sqrt(66)*-5 - sqrt(66)) + sqrt(66) - sqrt(66)) - sqrt(66))/sqrt(11)).
sqrt(2)/160
Simplify (sqrt(51) - sqrt(4131)*-4 - sqrt(51))/(3*sqrt(108)).
2*sqrt(17)
Simplify ((sqrt(19) + 1*(sqrt(19) + 1) + 2 + (-3*1*sqrt(95))/sqrt(5))**2 + -4)*5.
-30*sqrt(19) + 120
Simplify (-4*(-1*(2*sqrt(91) - sqrt(91))/sqrt(7) - ((3*sqrt(26) - sqrt(26))*-5 - sqrt(26))/sqrt(2)))**2.
20800
Simplify ((sqrt(297) - -1*sqrt(297)*4)/(sqrt(21)/((sqrt(112) - (sqrt(112) + (sqrt(112) - 2*sqrt(112)) - sqrt(112))) + sqrt(112))))**2.
356400
Simplify ((sqrt(78) - -4*1*sqrt(78)) + sqrt(78) - sqrt(78))/sqrt(6) + (-2*sqrt(1053) + 4)**2.
-139*sqrt(13) + 4228
Simplify ((sqrt(240)*-4 - sqrt(240))/sqrt(12))/(4*sqrt(36))*-5.
25*sqrt(5)/12
Simplify -2*((sqrt(143) - (sqrt(143) - 1*(sqrt(143) - -1*sqrt(143)))) + 6*1*sqrt(143))/((sqrt(176) - sqrt(176)*2) + sqrt(1331)*1).
-16*sqrt(13)/7
Simplify 0 + (5*sqrt(108))**2 + (sqrt(108)*1*-2)**2.
3132
Simplify (sqrt(4500) - (sqrt(4500) + 2*1*sqrt(4500)))/(3*(sqrt(9) - sqrt(36)*-4)).
-20*sqrt(5)/27
Simplify (-5*sqrt(459)*-5)/(sqrt(432) - (sqrt(432) - -1*sqrt(432)) - ((sqrt(3) - (sqrt(36)*2 - sqrt(36) - sqrt(36))/sqrt(12)) + sqrt(3) + sqrt(3))).
-5*sqrt(17)
Simplify ((sqrt(396) - (sqrt(396)*-2 + 2 + sqrt(396)) - (-1 + sqrt(396))*-3)*-4)**2.
-4800*sqrt(11) + 158800
Simplify ((2 + sqrt(153) + 0 + sqrt(17) + sqrt(17))*6)**2 - (sqrt(136)*-2*-2 + sqrt(136))/(-1*sqrt(648)).
6485*sqrt(17)/9 + 15444
Simplify ((sqrt(847)*-2 - sqrt(847))*-5 - (6*(2*sqrt(7))**2 + -5))*-4.
-660*sqrt(7) + 652
Simplify sqrt(500) + sqrt(500)*1 + (sqrt(320) + sqrt(320)*1 + sqrt(320))**2 + sqrt(45)/(sqrt(90)/(sqrt(10)*-4)).
16*sqrt(5) + 2880
Simplify -4 + sqrt(162) + 1 - -6*(sqrt(162) + (sqrt(162) - (sqrt(162) - 2*sqrt(162))))**2 - ((sqrt(162) - (-3 + 1 + sqrt(162))) + -1).
9*sqrt(2) + 8744
Simplify 1 + ((sqrt(1216)*-2)**2 + -4)*6.
29161
Simplify -3*(-1*sqrt(931) - sqrt(931))**2 + (-4 + sqrt(931) + sqrt(931)*1)**2 + 5 + 5*((sqrt(931)*2)**2 + sqrt(931)).
-77*sqrt(19) + 11193
Simplify (-4 + ((-1 + sqrt(68))*-6 - (0 + sqrt(68) + 2 + sqrt(68) + sqrt(68))))**2.
5508
Simplify (3*(-6*-2*sqrt(228) + sqrt(228)))/(sqrt(588) + sqrt(588)*-1 - ((sqrt(972) - sqrt(972)*1) + sqrt(972))).
-13*sqrt(19)/3
Simplify (sqrt(171)/(sqrt(90)/sqrt(360)) - (2 + 0 + sqrt(19) + 3))**2.
-50*sqrt(19) + 500
Simplify -4*(sqrt(114) - (sqrt(114) - (sqrt(114)*-3 - sqrt(114))*1))/((sqrt(180)/sqrt(3))/sqrt(10)).
16*sqrt(19)
Simplify -5 + -6*(-1*(1 + sqrt(432) + sqrt(432)) - -5*(sqrt(432) + 3)).
-216*sqrt(3) - 89
Simplify 1*sqrt(32) + sqrt(18)/(sqrt(225) + sqrt(9)) - sqrt(6)/(sqrt(3) - -3*sqrt(108)).
469*sqrt(2)/114
Simplify (-4 + sqrt(931) + -2 - (sqrt(475) + 0)*-3)**2.
-264*sqrt(19) + 9232
Simplify (sqrt(972)*5 - (sqrt(12)/sqrt(4) + 5 - (sqrt(3) - 2*sqrt(3)*1))) + -3.
-8 + 88*sqrt(3)
Simplify -2 + (((sqrt(15) - (sqrt(15) - sqrt(735)*3))/sqrt(5))**2 - (sqrt(3) + (((-2*sqrt(108) - sqrt(108)) + sqrt(3))**2 - sqrt(3)) - sqrt(27)*-3)).
-9*sqrt(3) + 454
Simplify -1*(((-2 + sqrt(847) - sqrt(847))*1 + 3 + (sqrt(847) - 1*sqrt(847)))*-1)**2.
-1
Simplify ((3*-2*sqrt(153)*-3)/(sqrt(324) - 2*sqrt(324)*-6))**2.
153/169
Simplify sqrt(133)/sqrt(7)*-6 + 4 - (5 + sqrt(95)/sqrt(5) + -5).
-7*sqrt(19) + 4
Sim
|
{
"pile_set_name": "DM Mathematics"
}
|
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