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*u for u.
-2
Let x = -96 + 101. Suppose -x*l + 9*l = 60. Suppose 5*y - 21 = -b, -y + 0*b - l = 5*b. Solve -y*o = -3*o + 2 for o.
-1
Let j be (-59)/(-3) + (-22)/6. Solve 42*w = j*w for w.
0
Let r(q) = 2*q**3 + 16*q**2 + 23*q + 24. Let b be r(-6). Solve 58*a + 86 = -b for a.
-2
Let b(g) = -g**3 - 6*g**2 + 73*g + 21. Let y be b(6). Solve 0 = 15*q + 12*q + y for q.
-1
Let t = 15819 - 15758. Solve 57*r = t*r - 24 for r.
6
Let o be ((-2)/(2 - 0))/((-51)/1377). Suppose -a - 8*a + o = 0. Suppose 3*j + 2*n = 36, 0*j + 36 = a*j + 3*n. Solve j = 4*k - 4 for k.
4
Suppose 20*z - 18*z + 3*x = 167, 3*z - 250 = -5*x. Solve 0 = -80*g + z*g + 15 for g.
-3
Let u(g) = -6*g - 47. Let z be u(13). Let l be (z/(-20) - 7)/(1/(-16)). Solve i + 2*i + l = 0 for i.
-4
Let v(a) = -a - 2. Let d be v(-4). Suppose -b + 2*b = 4. Let k be (b/(-5))/((-6)/75). Solve 0*u = -d*u + k for u.
5
Let w be (409 - -67)*1/4. Solve -19*j - w = -195 for j.
4
Let z be 6/(-9) + -13 + (-396)/(-27). Let p(a) = -a**3 - 2*a**2 + 2*a**3 + 5*a**3 + a. Let c be p(z). Solve -c + 2 = 3*t for t.
-1
Let s(j) = 292*j + 1764. Let f be s(-6). Solve -31*u - f = -43*u for u.
1
Let l(m) = -375*m - 1409. Let r be l(-4). Solve 75*s + r = 62*s for s.
-7
Suppose 0 = 5*o + 835 - 1075. Suppose -721*y + o = -718*y. Solve -3*n = -y*n - 26 for n.
-2
Let w be -1 - -9 - (4 - (-4)/(-2)). Suppose -4*y + w = -2*y. Suppose -2*d = -118 + 116. Solve q + y = d for q.
-2
Let b = 10926 - 10691. Solve -236 = o - b for o.
-1
Suppose 3024*o - 3034*o + 110 = 0. Solve x - o*x = 40 for x.
-4
Let c be (-2 - (-11 + 9))/3. Suppose 3*t - 2*r - 38 = c, 5*r + 52 = 4*t - 1. Let w(a) = a**2 + 3*a - 3. Let h be w(2). Solve h*o - 3*o = t for o.
3
Let c(j) = j**3 - 8*j**2 - 8*j + 3. Let f be c(9). Let k be 12/5*15/f*2. Solve k = -z + 7*z for z.
1
Let z = 823 - 798. Suppose 210*y - z = 205*y. Solve -20 = 5*m + y for m.
-5
Let b be -5*(3 + 90/(-25)). Let u(g) = -18 - 3*g - 7*g**2 - 3*g - 10*g + g**b. Let r be u(9). Solve r*h = 3*h - 12 for h.
4
Suppose -b - 11*b - 24*b + 396 = 0. Solve -7*y - 10 - b = 0 for y.
-3
Let f = 4195 + -4189. Solve 40 + f = -23*x for x.
-2
Let h be -5*((-2240)/25 + 3). Let q = 439 - h. Solve -24 = 12*i - q*i for i.
-4
Let k = 7536 - 7471. Solve 40*h = 53*h - k for h.
5
Let r be -9 + (-9)/(-9) - -190. Solve -r*y = -180*y - 8 for y.
4
Let z = -13 - -15. Let f(d) = d**3 + 5*d**2 - 21*d + 3. Let i be f(-8). Let y be (15 - -1)/z - (-17 - i). Solve v + y = -0 for v.
-4
Let r = 10330 + -10120. Solve -2*a = -44*a - r for a.
-5
Suppose -312*p + 1912 = 166*p. Solve 10*q = -84 + p for q.
-8
Let d be ((-21)/(-28)*4 - (-1 + 3))*3. Solve 20 = d*h - 8*h for h.
-4
Suppose -2*d - 56*j + 52 = -53*j, 0 = -4*j - 16. Solve 3 = -d*n + 35*n for n.
1
Let y be 28/(-1 - 6) + 4. Suppose y = -11*r - 6*r + 136. Solve o - 3*o = r for o.
-4
Suppose 12*v + 297 = -903. Let o = v + 99. Let p be ((-6)/3)/(-2)*(-5)/o. Solve -7*j = -p*j + 8 for j.
-4
Let x = -48 + 47. Let j be (-30)/(1 + x/(-2)). Let y be (1/(-4))/(5/j). Solve y = -s - 2 for s.
-3
Suppose 0 = -5*v + 10*v - 20. Suppose 0 = 3*r + 5*s - v, -7 + 27 = 4*r + 3*s. Suppose -r = -6*q + 2*q. Solve 3*c = -q*c - 25 for c.
-5
Suppose -4*s + 20 = 3*n, -2 = 4*n - 5*n + s. Let w(y) = -2*y**3 + 3*y**2 - y + 1. Let t be w(2). Let x = 30 + t. Solve n*j + x = -j for j.
-5
Suppose 4*q - 2*y = 66, 22*y = 24*y + 6. Solve 0 = 6*x - 9*x - q for x.
-5
Let p be ((15/6)/5)/((-10)/(-8940)). Let b = p - 437. Solve 0 = -b*d + 2*d - 16 for d.
-2
Suppose 19*g - 36 = 10*g. Suppose -4*l + 0*l = 3*u + 6, -g*l = 5*u + 10. Let h(a) = 6*a**2 - 1. Let x be h(1). Solve l = x*t + 1 + 4 for t.
-1
Let j = -5 - 31. Suppose -2 - 3 = -5*n. Let w be (n/(1/(-1)))/(9/j). Solve -w*a = -a - 3 for a.
1
Let l be -6 - ((-2 + -1)/3)/((-59)/(-1770)). Solve 78 = 2*z + l*z for z.
3
Let i be -66 + -2 + 1 + 59/(-59). Let x be (-52)/(-6) - i/51. Solve 12 = -x*q + 6*q for q.
-3
Suppose 0 = 5*s + 467*m - 466*m - 107, 3*m + 78 = 4*s. Solve -s*q - 49 = -14*q for q.
-7
Let i = 558 - 490. Suppose -i*r + 33 = -57*r. Solve 2*o + r*o + 20 = 0 for o.
-4
Let j be 3*2/2*2. Let o = -3360 - -3364. Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 3 (b) -2/7 (c) -0.06 (d) -2013
c
What is the closest to 1 in 3/2, -2/9, -4.6, 3/26630?
3/2
What is the nearest to 1/6 in -1/2, -9.2, -1534/21, 2/13, -1?
2/13
Which is the nearest to 0.11? (a) -2/213 (b) -14/67 (c) -0.3 (d) -5
a
What is the closest to -1/4 in 2, -133, 2/71, -3, 0.01?
0.01
What is the closest to 6 in 0.2, 22/117, -0.4, -0.3, -1, -29?
0.2
What is the nearest to 6 in 1/3, 4, -6, 0.14732?
4
What is the nearest to 2/3 in 2/9, -0.1, -0.4, -0.15, 2/2319?
2/9
What is the closest to 3 in -4, -2, 2/7, -427, 3, 0.053?
3
What is the closest to -199 in 1, -376, -0.5, -0.11, -0.2?
-376
Which is the nearest to 36? (a) 2453 (b) -2/3 (c) 2 (d) 2/11
c
Which is the nearest to 1014.5? (a) 0.3 (b) 0.1 (c) 1286
c
What is the nearest to 2/7 in -0.1, -6/31, 1/22, 2, 4/13, -0.02?
4/13
Which is the nearest to -170? (a) -1/6 (b) -5 (c) 0.05 (d) -127
d
Which is the nearest to -7/4? (a) 8 (b) 3 (c) -13/125
c
What is the closest to 2/5 in -3, 30, 12/7, 1/53?
1/53
What is the nearest to 1/3 in 1, -2, 49.895?
1
What is the nearest to -2 in 39/4, -3, 0.3, -2/5, 0.6195?
-3
What is the nearest to 87/4 in 491, 2, -5?
2
Which is the nearest to 0? (a) 5/91992 (b) -1 (c) -5
a
What is the closest to -28 in -0.3, 0.032, -0.1, 1/7, 1, 23?
-0.3
Which is the closest to -0.1? (a) 0.034127 (b) -1.2 (c) 0.2 (d) -2 (e) 6/5
a
What is the nearest to 22303 in 1, 12/7, 0.3?
12/7
What is the nearest to -2/7 in -48, 0.4, -1.49327?
0.4
What is the nearest to 3.34 in 546, -1/7, -82?
-1/7
What is the nearest to 197 in 2/2925, 0, 2/3, 0.13?
2/3
What is the closest to 5/287 in -2/3, 2, -0.144?
-0.144
Which is the nearest to 1? (a) -124 (b) 926 (c) 0.5
c
What is the nearest to 1169 in 12/7, -123, -0.1, 1?
12/7
Which is the closest to 1/31? (a) 19.22 (b) 6 (c) 4 (d) 8/5
d
Which is the nearest to -1.1141? (a) -0.03 (b) 5 (c) 0.1 (d) -0.2
d
Which is the nearest to -109? (a) 11/4 (b) -182 (c) 2 (d) 3 (e) -4
b
Which is the nearest to -2? (a) -1/4 (b) -4 (c) 0.2 (d) -1472064
a
What is the nearest to 2/5 in 4/29, -1447, -0.1, -29, -2/5?
4/29
Which is the nearest to -0.29? (a) -2/11 (b) -10 (c) -2 (d) -6201
a
Which is the nearest to -1/147? (a) 10/3 (b) 2/7 (c) -64 (d) -4 (e) -2
b
What is the closest to 0.04 in -3/4, -4941, -977, -3?
-3/4
What is the closest to -2/7 in -207711/16, 4, 6?
4
What is the closest to 25 in -2/7, -3, -3/2, 0.4, -0.6?
0.4
What is the closest to 2/5 in 5, -1/3, -0.7731, 0.03, -9?
0.03
What is the closest to -0.1 in 0.2896, -396, 2/7?
2/7
Which is the nearest to -96? (a) 2/7 (b) -3 (c) 4/7 (d) -1/7 (e) -4
e
What is the closest to 11 in -0.11, -25, -2/19, -3, -7?
-2/19
Which is the closest to -0.1? (a) 3/5 (b) -28 (c) -36 (d) -1/11 (e) 22
d
What is the nearest to -2 in 5, 4817, 0.5, -25?
0.5
Which is the closest to 1? (a) -1.1 (b) -4 (c) -2/231 (d) 16/9 (e) 7
d
Which is the closest to 0.1? (a) 1.03 (b) 115.975 (c) 0
c
Which is the nearest to 1/2? (a) 0.4 (b) 0.2 (c) -3/4 (d) -2 (e) 40.45
a
Which is the closest to 0.0657? (a) -23 (b) -0.1 (c) -2 (d) 1
b
What is the closest to 32 in 2/13, 0.03, -5, -244, 32?
32
Which is the nearest to 0.055? (a) -4 (b) -3/7 (c) -1086/11 (d) -3
b
What is the nearest to 1 in 2, -0.4, 22, 5, -1.52, -0.5?
2
What is the nearest to 1.2 in -0.08, -2/3, 164, -2/11?
-0.08
Which is the nearest to 1? (a) -6481/2 (b) 4 (c) 0 (d) -0.18 (e) -1/2
c
What is the nearest to -3 in 0.05, -25179, -1/4?
-1/4
Which is the closest to 125/8? (a) -13 (b) -0.5 (c) -2
b
What is the closest to -1.8 in 0, -1, -4/7, -6/7?
-1
What is the nearest to 23/9 in 93, 3/4, 2?
2
Which is the closest to 2? (a) -1/4 (b) -0.5 (c) 35 (d) -6854
a
Which is the nearest to 2/119? (a) 84 (b) -48/293 (c) 5/6
b
What is the nearest to -2/3 in -51, 2/7, -4, 42?
2/7
Which is the closest to 0.01? (a) 5 (b) -10 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -14*p - 1555002 = -7924232. Is p a composite number?
True
Let m(k) be the third derivative of 3*k**6/20 - k**5/30 + 11*k**4/24 - 13*k**3/3 - 11*k**2. Let y(t) be the first derivative of m(t). Is y(-5) a prime number?
True
Let s(p) = -35*p + 83 + 61*p - 3*p**2 + p**3 - p**2 - 15*p**2. Is s(29) prime?
False
Suppose -10*b + 2*k - 129684 = -12*b, 0 = 2*b + 3*k - 129689. Suppose 0 = 18*l + 5*l - b. Is l prime?
True
Let j(u) = u + 1. Let k(r) = 9*r**2 + 8*r - 50. Let s(m) = 4*j(m) + k(m). Let q(v) = v**2 - 4*v + 3. Let c be q(5). Is s(c) prime?
False
Suppose 6*y - 21 = 21. Suppose 6*a - y*a - 1 = 0. Is 4 + 0 + 2576 + a prime?
True
Let z = -215 + 219. Let m(h) = 4*h**3 - 3*h**2 + 6*h + 27. Is m(z) composite?
True
Let c be (-2 - 6/(-8))/((-11)/44). Suppose 3*x - 2*x - 4*a - 18821 = 0, 0 = 4*x - c*a - 75240. Is x prime?
False
Let w(d) = 75*d**2 + 148*d - 2053. Is w(15) a prime number?
False
Let a be (-1)/(2/(-124)) + (3 - 1). Let x = a - 61. Suppose 0 = 8*w - x*w - 2445. Is w a composite number?
True
Let s(q) = -35*q**2 + 6*q - 16. Let o(x) = 12*x**2 - 2*x + 5. Let c(b) = -17*o(b) - 6*s(b). Let p(t) = -5*t - 21. Let f be p(-6). Is c(f) prime?
True
Let b be 0/(0 + -3 - (-16 + 12)). Suppose b = 3*v - 2*d + d - 2251, -v + 755 = 2*d. Is v prime?
True
Suppose 11*s + 4*r - 246717 = 8*s, -2*r - 12 = 0. Is s prime?
False
Suppose j + 5*c - 6307 = 0, 0 = 6*j - 9*j + 2*c + 18853. Suppose 5*m + 506 = s + j, 2*s - 4636 = -4*m. Is m a composite number?
True
Suppose -4*s + 4 + 20 = 0. Suppose i + 2 - 5 = -3*z, 2*i = s. Suppose z = -7*a + 118 + 99. Is a composite?
False
Suppose 2*s + 2282 = -5*n + 9*n, -3*n = -s - 1711. Let a = n - -457. Is a prime?
False
Let f = -38 - -8. Is 26 + f - (-3888 - -1) a composite number?
True
Let v = 54781 + -3188. Is v a prime number?
True
Let k(f) = 2*f**3 - 12*f**2 + 16*f + 2. Let u be k(-7). Let b = u - -3943. Is b composite?
True
Suppose 166*r - 170*r + 140 = 0. Let y(q) = 317*q - 197. Is y(r) composite?
True
Is ((-153)/(-476) - (-3)/(-42)) + (-85207)/(-4) composite?
True
Suppose y + 2*m + 0*m + 2 = 0, -y = -3*m + 2. Is 70595/105 + y/(-3) a prime number?
True
Let m(n) be the third derivative of -53*n**6/60 + n**5/15 - n**4/12 - n**3 - 238*n**2. Is m(-2) prime?
False
Let r(c) = -c - 4. Let f be r(-9). Suppose -6 = -f*o + 3*o - 2*j, 4*o + 5*j - 15 = 0. Suppose o = -7*k - 279 + 776. Is k prime?
True
Suppose 169 - 43 = 14*u. Is (1758/u)/((-14)/(-231)) prime?
False
Let o = 135435 - 58258. Is o composite?
True
Let w(d) = -12*d**2 - 21*d + 3. Let x be w(-3). Let s = x - -57. Suppose 0 = -s*q + 23*q - 18472. Is q prime?
True
Let u = 20554 + -8483. Is u a composite number?
False
Let o(m) = 2*m**3 + 15*m - 19. Let d be o(13). Suppose -72*y + d = -67*y. Suppose 11798 = 12*v + y. Is v prime?
True
Suppose -4 = -g, -2*s - 28 = 3*s + 3*g. Is 6/s + 26772/48 prime?
True
Suppose 100*t - 1404884 = 196*t - 100*t. Is t a prime number?
False
Let c be (-1 - 55)*(-2145)/(-20) + -3. Let q = c - -14074. Is q composite?
True
Suppose -3*t + 134457 = 2*x, -t - x + 44819 = -6*x. Is t a composite number?
False
Let c = 38 + -32. Let b be c*1 - 26/13 - 12. Let d(v) = -153*v + 35. Is d(b) a composite number?
False
Let k(f) = 51*f**3 + 2*f**2 - 5*f + 4. Suppose 2*b = 9 - 1. Let z be k(b). Suppose 2*x - 3*o = z, 1713 = x + 4*o + 84. Is x prime?
True
Let v = 1271849 - 793528. Is v composite?
False
Let b(z) = 802*z + 5. Let c(m) = 1. Suppose 6 = -5*t - r, t - 3*r - r = -18. Let o(i) = t*c(i) - b(i). Is o(-2) composite?
False
Let h be 5/(-7) - -1 - 14/49. Suppose h*u - u - 2*z - 7744 = 0, 3*z + 9 = 0. Is (-3)/12 - u/8 composite?
False
Let v be -2 + 3233 + (-4 + 6)*-1. Let m = 1642 + v. Is m composite?
False
Suppose 8*h - 20 = -2*h. Suppose 5*d - 7978 = -2*g, -4*d + h*g + 5643 + 725 = 0. Is d prime?
False
Let r be 4/12 - 99518/6. Let b be 16/(-48) - r/6. Is -4*b/(-16)*1 a composite number?
False
Is ((-692)/3)/(332/(-25149)) a composite number?
True
Suppose -188736 = -53*n + 51*n. Let h = n - 52165. Is h composite?
True
Let m be (-2)/(-8) + (-18604)/(-16). Let n = -2232 - -1350. Let s = m - n. Is s composite?
True
Suppose 0 = -2*q - 4*p + 102842, 2*p = 4*q + 3*p - 205635. Is q composite?
False
Suppose -g + 44 - 19 = 0. Let k = g - 26. Is k*2*1788/(-24) a composite number?
False
Suppose 0 = -79*c + 58*c + 454650. Suppose 0 = -n - 4*h + 4307, 5*n = 2*h + h + c. Is n a prime number?
True
Let s(h) = 106*h**3 - 58*h**3 - 4*h**2 - 14*h + 37 - 47*h**3. Is s(16) a prime number?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
et j be 6/8 - (-507)/c. Let p = j + -38. Solve -6 = -p*a + 3*a for a.
3
Let o(a) = -3*a**3 + 16*a**2 - 17*a + 1. Let w(r) = 7*r**3 - 31*r**2 + 34*r - 1. Let u(f) = 5*o(f) + 2*w(f). Let d be u(17). Solve s = d*s for s.
0
Suppose g - 2*j - 8 = -0, -2*j = 4*g - 12. Let k be ((-8)/32)/((-3)/36). Suppose 2*p + 2*f - k*f = 20, 0 = -p + 2*f + g. Solve 4*a = a - p for a.
-4
Suppose 2*g = 4*g - 10. Let j = 5 - g. Solve -4*z = -j*z for z.
0
Let r be (-2)/((-1 + 6)/(70/(-28))). Solve -3*w + r = -14 for w.
5
Let s(x) = -8*x - 5. Let f be s(-1). Suppose 5*r - 2*b = 16, -2*b = -3*b - f. Solve r = 2*y + 4 for y.
-1
Let f(o) = -o**2 - 20*o - 11. Let q be -19 + (4 + -1 - 2). Let y be f(q). Solve y = -3*k + 8*k for k.
5
Let s(l) = l**3 + 7*l**2 - 11*l - 12. Let t = 12 - -4. Suppose -4*n - 16 = t. Let d be s(n). Solve 6*o = 3*o + d for o.
4
Let x(h) = -h - 2. Let g be x(-2). Suppose 0 = 4*p - 5*b + 3, 7 = 5*p - 3*b + 1. Let y = p + g. Solve 2*m - 1 = -y for m.
-1
Let a(d) = d - 19. Let r be a(17). Let o(h) = h**2 + h - 2. Let q be o(r). Solve q*n = -n - 5 for n.
-5
Let j = -8 - -11. Suppose -c + j*c = 32. Suppose -m = -3*p + 12, 0 = -m - 4*m + 4*p - c. Solve 4*b + 7 - 3 = m for b.
-1
Let n be -4 + 2 + (0 - 1). Let g be ((-104)/12)/((-1)/n). Let k be (-6)/(-5)*(-65)/g. Solve y - 8 = -k*y for y.
2
Suppose 5*l = -2*f + 36, -11 - 7 = -4*l + 2*f. Solve 18 = 3*z + l*z for z.
2
Let z be (-2180)/(-140) - (-7)/((-196)/(-12)). Solve 11*y - z*y + 10 = 0 for y.
2
Let x(g) = g**3 - 31*g**2 + 83*g + 28. Let l be x(28). Let w(c) = c**2 + 5*c - 2. Let t be w(-6). Solve -9*m + t*m - 20 = l for m.
-4
Let c(g) = 2*g + 41. Let n be c(-19). Solve -4*s - n = 9 for s.
-3
Let d be (-1 - 50/(-6)) + 1/(-3). Suppose f = d*f. Solve f = -4*p - 3 + 7 for p.
1
Let a(h) = h**2 - 18*h + 89. Let u be a(9). Solve 6*r = u*r - 4 for r.
2
Let w(h) = -2*h**2 + 3*h. Let g be w(2). Let d be 6 - ((-6)/g - 3). Suppose 0 = -d*i + 2*i + 24. Solve 3 = l + i for l.
-3
Let k = -485 + 564. Solve -k*v + 75*v - 4 = 0 for v.
-1
Let c = -295 + 312. Solve 0*l + c*l - l = 0 for l.
0
Suppose -h + 4*o = -78 + 49, -2*h + 37 = -o. Solve -20*z = -h*z + 3 for z.
-1
Let k(o) = 4*o**2 + 19*o + 12. Let p be k(-4). Suppose 0 = 3*i + 2*i. Let g be 6 - 4 - (-1 - i). Solve -l + g*l - 6 = p for l.
3
Let m(r) = -2*r**2 - 71*r - 98. Let u be m(-34). Let k(p) = p**2 - 2*p - 1. Let v be k(3). Solve v = u*a - 10 for a.
3
Let y(b) = 16*b**2 - 16*b + 19. Let u be y(2). Solve 0 = -3*x - 36 + u for x.
5
Let w = 8 - 3. Suppose -j + 5*n = -0*n + 2, -n = -w*j - 34. Let b be -4 - j*(-3)/(-3). Solve -b*r = -r for r.
0
Let n(u) = 2*u + 25. Let o be n(-9). Suppose -g + 5 = -4*p, g - o + 2 = 2*p. Solve -g*z = -2*z - 15 for z.
5
Suppose -5*a - 4*h + 36 = -3*h, 0 = h - 1. Solve 8*z - a*z + 4 = 0 for z.
-4
Let u be -1 + 3/(5 - 2). Suppose 4*a = -0*w - 2*w - 6, -a + 3*w + 16 = u. Solve -3*d - a = 2 for d.
-1
Let z be -1*(-1)/4 - (-11)/(-44). Let r(h) = -8*h + 8. Let x be r(z). Solve -6*g + 4*g = -x for g.
4
Suppose -5*g - w = -27, -21*g + 23*g + 2*w - 14 = 0. Let v(x) = -x**2 - 8*x. Let q be v(-8). Suppose -5*t = -t. Solve g*d + t*d = q for d.
0
Let l = 341 - 331. Solve -4*r + 2 = -l for r.
3
Let l(h) = 7*h - 1. Let w be l(1). Suppose -2*y + 16 = w. Suppose -4*v - y*j = v - 55, 15 = 3*j. Solve v + 2 = 2*m for m.
4
Let w be 0*(-4)/12 - (0 + 0). Solve 10*z - 24 - 26 = w for z.
5
Suppose -5*r + 34 = 24. Let v = 0 - -2. Solve r*i + 0 = v for i.
1
Let d = 443 - 439. Solve -4 = d*i - 0 for i.
-1
Let f(z) = 2*z - 9. Let c be f(6). Suppose 5*p - 35 = -10. Suppose -d = -p*d + 12. Solve 3 = d*y - c for y.
2
Suppose 9 = -9*d + 12*d. Solve d = -6*k + 9 for k.
1
Let a be 2 - (-4 - -9)/5. Suppose -4*x + 2 = 2*l - 4, x - 7 = 5*l. Solve -x*o - 7 = -a for o.
-3
Let o(i) = i + 3. Let c be o(-1). Suppose -c*f + 2*x + 38 = 0, 2*f + 3*x - 6*x - 42 = 0. Let b(l) = 6*l - 1. Let u be b(1). Solve 5*m = f + u for m.
4
Suppose 55 = 19*j - 8*j. Solve -j*k - 12 = -2 for k.
-2
Let q(y) = y**2 + 11*y + 3. Let r(b) = -2*b - 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
he closest to 1.54? (a) 4 (b) -5 (c) 0.2 (d) 5 (e) 1/6
c
Which is the nearest to 2/5? (a) 0 (b) 7 (c) -2 (d) -0.4 (e) -3
a
Which is the closest to -6845? (a) 0.2 (b) 5 (c) -3
c
Which is the closest to 2/3? (a) 2/5 (b) 5 (c) -1/2 (d) -87/5 (e) 1
a
Which is the closest to -2/7? (a) -1 (b) 2/15 (c) -479
b
Which is the closest to 1? (a) -101.38 (b) 2 (c) -0.3
b
Which is the nearest to 2/5? (a) 1/6 (b) -0.09 (c) 2/11 (d) -1
c
What is the nearest to 1/3 in 0.2, 5, 2896, -1?
0.2
What is the closest to 46 in 5, -0.13, -9/2, -2?
5
Which is the closest to -1/3? (a) -1/24 (b) -1/7 (c) 71
b
What is the closest to 1 in -21/2, 91, -4?
-4
What is the closest to -0.13 in 0, 3/4, 5, -50?
0
What is the nearest to 1/4 in -0.12, 2/9, 3.9, -0.4?
2/9
Which is the closest to -8/3? (a) -0.331 (b) 2/3 (c) 3 (d) 0.07
a
What is the nearest to -266 in -6, -0.5, -0.6?
-6
Which is the nearest to -1? (a) 1/3 (b) -8453 (c) -2/3
c
Which is the closest to 987? (a) -3 (b) 2/7 (c) 4/7 (d) 0
c
What is the closest to -1/2 in -0.14, 4, -0.8, 0?
-0.8
Which is the nearest to 0? (a) -0.3 (b) 5/12 (c) 0 (d) -2
c
What is the nearest to 2/3 in 7/30, -2, -0.2, 0.32?
0.32
Which is the closest to 2/3? (a) -1/8 (b) -3/2 (c) -2
a
What is the closest to -5.075 in 1/5, 0.29, 0, 2/9, -1?
-1
What is the nearest to 0.1 in 4, -93/10, 19?
4
What is the closest to -1/11 in -0.0749, -2, -5, -0.5?
-0.0749
What is the closest to -0.03 in 3, -21/8, -6/11?
-6/11
What is the nearest to -1/2 in 184, 0.1, 2/3, 2/7, 1?
0.1
Which is the nearest to 222? (a) 0.5 (b) -129 (c) 3/5 (d) 0
c
Which is the nearest to 26? (a) 2/163 (b) -3 (c) -4 (d) -5
a
Which is the nearest to -1? (a) 27 (b) 3/4 (c) -2 (d) 256
c
What is the nearest to 0.1 in -697, -3, -3/8, 2/7?
2/7
Which is the closest to 0? (a) -71 (b) -2/13 (c) 2.26
b
Which is the nearest to 5.98? (a) -4 (b) 2 (c) 1 (d) -0.046
b
Which is the closest to 5/33? (a) 10 (b) 0.1 (c) -0.3 (d) -2/9
b
What is the closest to 107 in -0.38, -2/3, -2/5?
-0.38
What is the closest to 14 in -2, -4, -0.1?
-0.1
What is the closest to -0.3 in 47898, 2/11, -0.5?
-0.5
Which is the nearest to -0.8? (a) -4 (b) 1038 (c) -8
a
What is the nearest to -101/2 in 1, 73, -1/3?
-1/3
Which is the closest to 1/2? (a) 1.04 (b) -9 (c) -11 (d) -1/2
a
What is the closest to 1/2 in -41.2, -4, -5?
-4
Which is the closest to 688? (a) -7 (b) 0 (c) 4 (d) -0.1 (e) 16
e
What is the nearest to -10 in -3, 0.5, 1/157?
-3
What is the nearest to -0.2 in 0.5, 3, -2/259, -5, 3/4?
-2/259
Which is the closest to 1? (a) 29 (b) -1/3 (c) -0.3 (d) 0 (e) 6.75
d
Which is the closest to 2/5? (a) 1/2 (b) -3 (c) 1/4 (d) 18/43
d
Which is the closest to 3? (a) -2/3 (b) 31 (c) 3/10 (d) -4/7 (e) -3/4
c
What is the closest to 2/25 in -5/4, -4, 0.007951?
0.007951
Which is the closest to -3/8? (a) 0.3 (b) -10 (c) -9
a
Which is the nearest to 0.6? (a) -2/3 (b) 1/3 (c) 0.3 (d) 11/21 (e) 0.1
d
Which is the closest to -8355? (a) 1/24 (b) -2 (c) -1
b
What is the nearest to -6/13 in -286, -0.3, 0.3, -4?
-0.3
What is the nearest to -1 in -2/655, -5, -28, -2?
-2/655
What is the nearest to 3 in -1, -0.5, 21/10, 0.2?
21/10
What is the closest to 1/3 in -2/7, 28/5, -5/14, 3/5?
3/5
What is the closest to -5 in -0.1, -1, -61, -2/19?
-1
Which is the nearest to -1/3? (a) -0.5 (b) -3 (c) 1 (d) -2/9 (e) -212
d
What is the closest to 1 in -2/9, 14, -3, -1/7, 0.5?
0.5
Which is the nearest to -1/4? (a) 0.1 (b) -25 (c) 44 (d) 0.4
a
Which is the closest to 3? (a) -1/2 (b) -5/6 (c) -46 (d) -2/15
d
Which is the closest to -70? (a) 6 (b) 0.2 (c) 1/9
c
Which is the closest to -2/13? (a) 3/4 (b) 5 (c) 38
a
What is the nearest to -0.1 in 3, 6, -2, -1/2, 23?
-1/2
What is the nearest to 0.5 in 2, -8, -0.5, 7/521
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*l - 4*m - m, -3*m - 6 = 0. Suppose -2*s - 2*u - 292 = 2*u, 0 = 4*s + 2*u + 590. Let d be 103/s - (-27)/36. Is l smaller than d?
False
Let m(f) be the third derivative of -f**6/120 + 2*f**5/5 + 9*f**3 - 19*f**2. Let x be m(24). Which is smaller: 55 or x?
x
Let i be (-3*(-6)/(-18))/1*7. Let h = 25 + -17. Let k = 1 - h. Is k <= i?
True
Let j = 652.4 - 651. Which is greater: j or 13/3?
13/3
Suppose -5*t = 46 - 61. Suppose 0 = -z - t*z. Is -1/23 greater than or equal to z?
False
Suppose -4*q + 5*s = -17, 0 = 2*q + 2*s + 2*s - 2. Suppose 3*b + 5*n + 15 = 0, q*b = -n - 2*n - 9. Let x be 8/(-6)*3/22. Which is bigger: x or b?
b
Let h be 6*((-2)/(-6) + 0). Suppose a = 3*i + 18, 2*i + a + h = -5. Suppose 48*l - 3*k - 39 = 53*l, -2*l + 2*k = 6. Which is smaller: i or l?
l
Let b be -502*(0 - (3 - 5))/4. Is b less than or equal to -252?
False
Let m = -30.2 + 26.2. Which is greater: -113 or m?
m
Let l = 59.7 + -70.7. Let c = 7 + -7.2. Which is smaller: c or l?
l
Let q = -1/227 + -223/908. Let i = -0.02 - 0.28. Which is smaller: q or i?
i
Let i = -215 - -171. Which is bigger: i or -43?
-43
Let t = -103/40 - -16/5. Let h = -4 + 5. Which is greater: h or t?
h
Suppose -5*t - 4*u + 10 = -15, -2*t - 5*u = -27. Let o be (2/(-2) + 5)*t. Suppose 6 = 2*w - o*w. Is -4 bigger than w?
False
Let r = -0.146 + -71.854. Let b = -71 - r. Which is smaller: b or 0.4?
0.4
Let z = 53.8 - 8.8. Let y = z - 44.3. Which is greater: -3 or y?
y
Let f be -7*((-296)/28 + 2). Let w = f - 88. Let z be (-6)/w*(-49)/(-14). Which is greater: z or -0.01?
z
Let z be ((-3648)/19)/(-4 + -1 - 0). Is 37 at most z?
True
Let p = -9314/57 - -52/19. Are -161 and p unequal?
True
Suppose 18 = -7*v + 16*v. Is 25/36 at least v?
False
Let y = 46.7 + -15.7. Is y at most as big as 2/7?
False
Suppose 2*z + 3*z = 10. Let j = 1769/980 + -1/196. Which is greater: z or j?
z
Let u(g) = -1. Let v(w) = -w**2 - 10*w - 9. Let o(r) = 6*u(r) + v(r). Let l be o(-8). Is l != 6/7?
True
Suppose 2*a + 3*v = 4*a - 299, -2*a - 2*v + 274 = 0. Let p be a/35 + (-44)/11. Which is greater: p or 0?
p
Let p = 165 - 36. Let z be 1/2*3/((-18)/p). Is z at least as big as -10?
False
Suppose 3*x + 33 = 2*a, 4*a - 5*x = -5 + 68. Let s = a - 12. Suppose 2*d - 3*d + 1 = s. Which is smaller: d or 2/91?
2/91
Suppose 0*a - a + 5 = 0, -z + 18 = 4*a. Let l(y) = y + 3. Let w be l(z). Is w >= -2/215?
True
Let g = 27 + -27.2. Let c = -3.2 - g. Let r = -15/2 - -71/10. Are r and c unequal?
True
Let y = 72 + -66.9. Let l = y - 5. Is -4 > l?
False
Suppose 3*n + 20 = -2*n + 5*w, -n + 3*w - 12 = 0. Let i = -9/1568 + 370075/4704. Let p = 79 - i. Is p less than n?
False
Let b = 14041/247638 + -5/1662. Do 0 and b have the same value?
False
Suppose -2*k + 17 = 3. Suppose -70 = -2*t - 3*t. Let g = -6 + t. Which is smaller: g or k?
k
Let r = 2 + 1. Suppose 12 = -r*k - 5*z, 2*k = 5*k + z. Which is greater: k or -4/11?
k
Suppose 0 = 2*i - 14 - 16. Let p = -15 + i. Suppose -4*a = -5*a + 2*d + 15, p = -4*a + d + 25. Which is bigger: 6 or a?
6
Let k be (-2 - 1)/((-3)/3). Suppose 8*a = 11*a + 12. Let t be 2/(-4*1/a). Is t <= k?
True
Let s be 48 - 2/10*-5. Which is smaller: 53 or s?
s
Let u be 1/(5/(20/2)*-2). Is u bigger than -2/671?
False
Let i = -47 + 80. Let x = i - 28. Does 4 = x?
False
Let z = -3067 + 52195/17. Which is smaller: z or 4?
z
Let z(p) = p**2 + 4*p + 5. Let q be z(-3). Let a(l) = 6*l**2 + 6*l**2 - 17 - 3*l + 11*l**2 - 22*l**q. Let o be a(0). Which is bigger: o or -18?
o
Let a be (-20)/(-70) + 139/(-364). Let i = -137/884 - a. Which is bigger: 1 or i?
1
Let x(s) = -12*s + 49. Let r be x(5). Which is greater: -9 or r?
-9
Let l be 2376/(-104) - (2/13 - 0). Let w = -23 - l. Which is bigger: -12 or w?
w
Suppose 152 = -5*k + 4*t, 11*k - 8*k - 3*t + 93 = 0. Let a be -2 - 8*6/k. Let l = -105/4 + 287/12. Is l less than or equal to a?
True
Let k(b) = 0*b + 4 - b - 27 - b. Let c be (-1)/(-5) - 244/20. Let m be k(c). Which is bigger: 16/9 or m?
16/9
Let f be (-26)/14 + (-1 - -3). Let r be (-3 + 3*(-16)/(-12))*-1. Are f and r non-equal?
True
Let u = 58/9 - 433/63. Let m be 8/6 + (-11)/(-3). Let g(b) = -b + 6. Let r be g(m). Which is greater: u or r?
r
Suppose 3*x - 5*n = 21, 0 = -x - n + 2*n + 5. Let t be ((-24)/16)/((-13)/x). Which is smaller: t or 0?
0
Suppose -50*k + 51*k - 2*a = -15, 0 = -4*k - a - 87. Let r be 4 + 0 + (1 - 1). Let l be -1 - k - 1*r. Is l != 17?
True
Suppose -98*f + 3 = -101*f, -3*f
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
p, -4, -1
Suppose 20 = -4*u - 0*u. Let a be 6*1/(-50)*u. Sort a, 0.1, -2 in decreasing order.
a, 0.1, -2
Let g = -0.09 - -9.09. Let q = -8.6 + g. Let m be ((-2)/3)/(4/6). Put q, 5, m in decreasing order.
5, q, m
Suppose 4*x + 1 = 17. Let o = -13 - -9. Put o, 2, x in ascending order.
o, 2, x
Let v = 0.1 + -0.1. Let b = 83 - 743/9. Put 3, v, b in decreasing order.
3, b, v
Let a(f) = -7*f**2 + f. Let y be a(1). Let v be (-15)/y*(-4)/2. Let h be 55/(-66)*(-1 + -5). Put v, h, 3 in decreasing order.
h, 3, v
Let r(t) = -2*t - 36. Let d be r(-21). Sort 2, d, -2 in descending order.
d, 2, -2
Let b = -0.6 - -0.3. Let n = 75 + -74. Put b, n, 4 in descending order.
4, n, b
Let m(b) = -b**2 + 5*b. Let l = -14 + 19. Let h be m(l). Sort 4, -4, h in ascending order.
-4, h, 4
Let m = 2 + 2. Let p be (4 - 0) + (-18)/m. Sort p, 4, 3 in ascending order.
p, 3, 4
Suppose -z + 5*z - 57 = 3*p, 5*z - 31 = 2*p. Let c = p - -19. Sort c, -5, -3 in descending order.
-3, c, -5
Let u = 3 + -3.2. Let j = -4.9 + -0.1. Let z = -0.18 - 0.12. Put j, u, z in descending order.
u, z, j
Let p = 2 + 2. Suppose 0 = -5*n + g + 16, -5 = -n + 2*g - 0. Suppose -5 = -5*k - 4*l, 7*k - 4 = n*k - 3*l. Put k, p, 2 in decreasing order.
p, 2, k
Let b(n) = -n + 4. Let q be b(5). Let a be 2 + 2 - (0 - q). Let g = -44 - -45. Put a, -4, g in ascending order.
-4, g, a
Suppose -2*a + 0*o = 4*o + 20, 3*a - 2*o + 6 = 0. Suppose 0 = -3*g + 6 - 3. Put g, a, -2 in descending order.
g, -2, a
Let g(k) = -k - 8. Let o be g(-5). Let r = 11 - 16. Sort o, 0, r in descending order.
0, o, r
Suppose a = -4*o + 6, -3*o + 16 - 4 = 0. Let t = 31/3 + a. Put 0, -1, t in decreasing order.
t, 0, -1
Let p(a) = -2*a**3 - 3*a**2 + 3*a + 2. Let i be p(-2). Suppose -5*x = 3*r - 15 - 20, 4*x = -3*r + 31. Sort i, x, -2 in decreasing order.
x, i, -2
Let o = 7 - 8.1. Let p = -0.1 + 1.1. Let r = p + o. Put r, 0.2, 1 in ascending order.
r, 0.2, 1
Let n = 0.19 + 0.01. Sort -11, 3, n, 1/4 in descending order.
3, 1/4, n, -11
Let f(x) = 2*x**2 + 13*x - 9. Let b be f(-7). Sort 1, 3, b, -1.
b, -1, 1, 3
Let i = -1 - -4. Sort i, 2, 0.2.
0.2, 2, i
Let h(g) = -g - 9. Let c be h(-9). Let i = 4 + -4.2. Let f = i - 0. Put -5, f, c in decreasing order.
c, f, -5
Let p be (-1 - -5)*1 + -1. Sort 0, p, -1, -4 in increasing order.
-4, -1, 0, p
Let l be 6/9*(-9)/12*0. Let f = 2 + -8. Let b be 26/(-6) + (-2)/f. Sort 4, b, l in ascending order.
b, l, 4
Let f = -1.6 - -2. Put 2, f, 1 in increasing order.
f, 1, 2
Let l be 1*10*2/(-4). Suppose 0 = -4*m + 9 + 3. Put m, 5, l in decreasing order.
5, m, l
Suppose -y + 60 = 2*y. Suppose -6*o + y = -o. Suppose 6 - 31 = -5*z. Put o, z, -5 in increasing order.
-5, o, z
Suppose -3 + 28 = -5*o. Suppose -3*z - 200 + 188 = 0. Put o, 3, z in descending order.
3, z, o
Let n = 9 - 16. Let q = -9 - n. Let t(b) = b + 8. Let w be t(-9). Sort q, -2/7, w in descending order.
-2/7, w, q
Let h = -9 + 11. Let m = -1.4 + 1. Sort h, m, -1/2.
-1/2, m, h
Let c = -12 - -8. Let g = 8 - 4. Put 0, g, c in decreasing order.
g, 0, c
Let b = 2 + -2.4. Let f = -8 + 8. Let t = f - b. Put t, -3, 1/2 in decreasing order.
1/2, t, -3
Let w(n) = -2*n**2 - n + 4. Let f(u) = 3*u**2 - 3. Let d(k) = 3*f(k) + 4*w(k). Let q be d(3). Put 2, q, 0 in descending order.
q, 2, 0
Suppose a = 6*a - 50. Suppose 3*j + a = -2*j. Suppose 5 = i + 4*p - 11, 0 = -5*i - 3*p + 12. Sort i, 2, j in descending order.
2, i, j
Let y = 100 - 97. Sort -4, -2/3, 2/11, y in decreasing order.
y, 2/11, -2/3, -4
Let s = 2/111 + -119/444. Put s, -4/7, -1 in increasing order.
-1, -4/7, s
Let q(x) = -3*x + 6. Let i be q(4). Let m be (6/(-9))/(i/(-9)). Let g be m/5 + 48/(-10). Sort g, -4, 4.
g, -4, 4
Suppose 0 = 4*a - 3*k + 18, 3*a - 3 = k - 14. Sort 1, 2, a, -4 in descending order.
2, 1, a, -4
Let x(a) = a**2 + a + 2. Let z be x(-2). Suppose 20 = -z*q + 2*q. Let l = 6 + q. Sort l, 5, 3.
l, 3, 5
Suppose y = 1, 0 = -i + y + 3*y - 2. Sort i, -2, 9 in descending order.
9, i, -2
Suppose 0 = 3*y + 3, -2*s = 3*y - y + 6. Let n be (-39)/9 - (-8)/24. Put s, n, -3 in descending order.
s, -3, n
Suppose -4*r = -0*r. Let q(i) = 6*i - 1. Let v be q(1). Suppose v*w + 2*n + 17 = 0, w + 2 = 4*n - 19. Sort r, 1, w in increasing order.
w, r, 1
Let n(f) =
|
{
"pile_set_name": "DM Mathematics"
}
|
41. Let a = t - 34. Suppose -j + 5 + a = 0. List the prime factors of j.
2, 5
Suppose -53 = -5*i + 3*h, -3*i = i + 4*h - 36. Suppose 0 = 2*o - 0*o + i, -190 = -5*f + 3*o. List the prime factors of f.
5, 7
Suppose -6*h - 293 = 43. Let b = -20 - h. Suppose 6*l + b = 8*l. List the prime factors of l.
2, 3
Suppose 0 = h - 4*x - 10, -3*x + 6 = h - 5*x. Let m be (-2 - (h - 5)) + 2. Suppose -2*c = -4, m*o + 5*c - 29 = c. What are the prime factors of o?
7
Let o = 1017 + -567. Let a = o + -283. List the prime factors of a.
167
Let y = 20 + -23. Let m(u) = 1. Let h(i) = -2*i**3 - 3*i**2 - 6*i - 3. Let q(g) = h(g) + 6*m(g). List the prime factors of q(y).
2, 3
Let w(h) = 3*h**3 + 4*h**2 - 5*h - 3. Let v be w(3). Let z = 186 - v. What are the prime factors of z?
3, 29
Suppose 0 = 61*g - 63870 - 41355. List the prime factors of g.
3, 5, 23
Let t be (-245)/(-14) + (-1)/(-2). Suppose -5*u + 7 + t = 0. List the prime factors of u.
5
Let w = -97 - -94. What are the prime factors of (2/w)/((-1)/((-69)/(-2)))?
23
Suppose 3*g - 48 = 4*c - 150, 3*c - 129 = 4*g. List the prime factors of (g/(-9))/(-5) - (-26)/3.
2
What are the prime factors of 3/12*0 + 90 - 3?
3, 29
Let l(c) = c**2 + 11*c - 13. Let x be l(-14). Let t be (2 - 3)*-1*x. What are the prime factors of t - 5/((-20)/(-16))?
5
Suppose 5*k + 5*q = 130, 0 = -3*k - q + 47 + 35. List the prime factors of k.
2, 7
Let i = 1308 - -885. List the prime factors of i.
3, 17, 43
Suppose 4*s = -y - 3*y + 2180, -5*s + 2690 = -2*y. List the prime factors of s.
2, 3, 5
Suppose 2*s - 7*z = -3*z + 360, 350 = 2*s - 2*z. Suppose -2*j - 3*j = -2*x - 173, 5*x = 5*j - s. Suppose -4*n + j = n. List the prime factors of n.
7
What are the prime factors of -2 - -5 - 7*(-24)/1?
3, 19
Let m = -964 - -643. Let n = -75 - m. What are the prime factors of n?
2, 3, 41
Suppose 38*u + 725 = 39*u. Suppose 0 = l + 5*m - 10*m - 174, u = 5*l + 4*m. List the prime factors of l.
149
Let b = -2 + -13. Let d = -29 - -17. Let c = d - b. List the prime factors of c.
3
List the prime factors of 4/(-12) - 33*(-12)/54.
7
Suppose -2*z + 20 = -2*q, 4*z + q - 5 - 10 = 0. What are the prime factors of 423/15 - z*(-1)/(-25)?
2, 7
Suppose n - 4*p - 47 = -4*n, -4*n + 3*p + 37 = 0. Suppose -2*o - 2*o + 8 = 0, -4*o = a - 10. Let z = a + n. List the prime factors of z.
3
Let z(v) = 4*v**2 - v - 3. Let c = -9 + 12. Suppose 6*n + c = 5*n. What are the prime factors of z(n)?
2, 3
Suppose -8 = 4*s, 2*s - 3*s - 8267 = -5*l. What are the prime factors of l?
3, 19, 29
Let y be (28/6)/(6/(-45)). Let f = -26 - y. What are the prime factors of f?
3
Suppose -3781 = -0*u - 3*u - f, 0 = 2*u - 3*f - 2517. What are the prime factors of 2/((-5)/(u/(-8)))?
3, 7
Let i(x) = -2*x + 15. Let k be i(16). Let l = k + 19. Suppose l*f = -6, -4*g + 7*f + 165 = 4*f. List the prime factors of g.
3, 13
Let z = 1802 + -1215. What are the prime factors of z?
587
List the prime factors of 1/((-4)/(-11672)) + 26/13.
2, 5, 73
Suppose 4*o + 10 = 2*x - 8, 0 = x + o. Suppose -z = -3*t + 2*t + 1, -x*t + 4*z + 5 = 0. List the prime factors of -2 - (-22)/(-2)*t.
3
What are the prime factors of 17/(102/12348) + (-2)/1?
2, 257
Let r = -999 - -979. Suppose v + 5*g + 1 = 0, 0*g - 3*g + 1 = v. List the prime factors of 2 - (-2 + r + v).
2, 5
Let w = -44 - -47. Suppose -8*u + 1040 = -w*u. What are the prime factors of u?
2, 13
Let y be 15/10 + 2/4. Suppose 3*f - y*f = 0. Suppose w + 3*b = -b + 45, -w - 3*b + 43 = f. List the prime factors of w.
37
Let f = -30 + -19. Let b = f - -71. List the prime factors of b.
2, 11
Let y(i) = -i**3 + 5*i + 9*i**2 + i - 11 - 2*i**2. Let l(c) = -c**3 - 23*c**2 - 44*c - 35. Let x be l(-21). List the prime factors of y(x).
31
What are the prime factors of (1275/(-9) + 1)*-6?
2, 211
Let d = 50 - 29. Suppose -d - 324 = -5*s. List the prime factors of s.
3, 23
Suppose -12*b + 15*b + 384 = 0. List the prime factors of (4 + b/3)*-3.
2, 29
Let v = 679 - 91. What are the prime factors of v?
2, 3, 7
Let q be 0 + 184 + (-10)/5. Suppose -5*t + 8 = -q. What are the prime factors of t?
2, 19
Suppose -4*w + 1093 + 11 = 0. List the prime factors of w.
2, 3, 23
Let f = 1353 - 576. List the prime factors of f.
3, 7, 37
Suppose 4*z + d - 4608 = 0, -z - 4*d = 3*z - 4596. List the prime factors of z.
1153
Let x(d) = 127*d**2 - 54*d + 165. What are the prime factors of x(3)?
2, 3, 191
Suppose -5*d + 3 = -2*j, 28 + 20 = -4*j - 4*d. Let c(w) = w**2 - 6*w - 26. List the prime factors of c(j).
109
Suppose 4180 - 1079 = 3*s - a, -2*s = 5*a - 2090. What are the prime factors of s?
3, 5, 23
Let f(o) = -o - 34. Let z be f(-16). What are the prime factors of z/(-63) + 934/14?
67
Let i = 59 - 43. Suppose i*r - 4247 = -375. What are the prime factors of r?
2, 11
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
by 774?
13
What is the remainder when 1817 is divided by 157?
90
What is the remainder when 12929 is divided by 1606?
81
Calculate the remainder when 132706 is divided by 106.
100
Calculate the remainder when 44695 is divided by 44695.
0
What is the remainder when 2437 is divided by 2057?
380
What is the remainder when 3649 is divided by 390?
139
Calculate the remainder when 56311 is divided by 3752.
31
Calculate the remainder when 40594 is divided by 40545.
49
What is the remainder when 4013 is divided by 1724?
565
Calculate the remainder when 874 is divided by 5.
4
What is the remainder when 36565 is divided by 12116?
217
What is the remainder when 254474 is divided by 61?
43
Calculate the remainder when 4067 is divided by 1038.
953
What is the remainder when 17978 is divided by 402?
290
Calculate the remainder when 973 is divided by 199.
177
Calculate the remainder when 357748 is divided by 88.
28
Calculate the remainder when 106926 is divided by 21356.
146
Calculate the remainder when 417 is divided by 365.
52
What is the remainder when 131718 is divided by 23?
20
What is the remainder when 3833 is divided by 763?
18
Calculate the remainder when 6209 is divided by 283.
266
Calculate the remainder when 5778 is divided by 47.
44
Calculate the remainder when 950 is divided by 131.
33
What is the remainder when 2811 is divided by 48?
27
Calculate the remainder when 45684 is divided by 23.
6
Calculate the remainder when 19301 is divided by 26.
9
Calculate the remainder when 23946 is divided by 113.
103
Calculate the remainder when 6964 is divided by 1832.
1468
Calculate the remainder when 1077640 is divided by 18.
16
Calculate the remainder when 43158 is divided by 260.
258
What is the remainder when 48060 is divided by 14?
12
Calculate the remainder when 99062 is divided by 56.
54
Calculate the remainder when 6416 is divided by 3063.
290
What is the remainder when 90439 is divided by 270?
259
Calculate the remainder when 21284 is divided by 21197.
87
Calculate the remainder when 1852 is divided by 463.
0
Calculate the remainder when 6738 is divided by 374.
6
Calculate the remainder when 635 is divided by 547.
88
What is the remainder when 220441 is divided by 121?
100
Calculate the remainder when 162995 is divided by 239.
236
What is the remainder when 8938 is divided by 684?
46
Calculate the remainder when 41329 is divided by 136.
121
What is the remainder when 4168 is divided by 275?
43
What is the remainder when 2331411 is divided by 57?
54
What is the remainder when 406741 is divided by 150?
91
Calculate the remainder when 78723 is divided by 112.
99
What is the remainder when 260415 is divided by 58?
53
Calculate the remainder when 4258 is divided by 60.
58
What is the remainder when 41962 is divided by 51?
40
Calculate the remainder when 728110 is divided by 38.
30
What is the remainder when 5850 is divided by 20?
10
Calculate the remainder when 159428 is divided by 20.
8
What is the remainder when 10132 is divided by 4933?
266
What is the remainder when 65996 is divided by 40?
36
What is the remainder when 61435 is divided by 278?
275
Calculate the remainder when 993 is divided by 63.
48
What is the remainder when 52146 is divided by 26057?
32
What is the remainder when 56473 is divided by 395?
383
What is the remainder when 519457 is divided by 95?
92
What is the remainder when 5722 is divided by 517?
35
What is the remainder when 66316 is divided by 154?
96
What is the remainder when 1187339 is divided by 330?
329
Calculate the remainder when 323291 is divided by 113.
111
What is the remainder when 204171 is divided by 398?
395
Calculate the remainder when 4733 is divided by 414.
179
What is the remainder when 4804 is divided by 537?
508
What is the remainder when 20532 is divided by 1594?
1404
Calculate the remainder when 562488 is divided by 752.
744
Calculate the remainder when 9089 is divided by 212.
185
Calculate the remainder when 3751 is divided by 2744.
1007
What is the remainder when 308 is divided by 11?
0
Calculate the remainder when 2463 is divided by 481.
58
Calculate the remainder when 1656827 is divided by 783.
782
What is the remainder when 27759 is divided by 13?
4
What is the remainder when 760 is divided by 731?
29
Calculate the remainder when 18524 is divided by 8947.
630
What is the remainder when 4655 is divided by 282?
143
What is the remainder when 58086 is divided by 66?
6
What is the remainder when 730 is divided by 540?
190
What is the remainder when 105950 is divided by 17657?
8
Calculate the remainder when 31939 is divided by 107.
53
What is the remainder when 2377 is divided by 748?
133
What is the remainder when 20543 is divided by 1582?
1559
What is the remainder when 49332 is divided by 3794?
10
Calculate the remainder when 14315 is divided by 366.
41
Calculate the remainder when 135361 is divided by 74.
15
Calculate the remainder when 269 is divided by 92.
85
Calculate the remainder when 1779 is divided by 325.
154
Calculate the remainder when 15622 is divided by 28.
26
What is the remainder when 104446 is divided by 12?
10
Calculate the remainder when 756 is divided by 146.
26
Calculate the remainder when 60656 is divided by 60.
56
What is the remainder when 259961 is divided by 192?
185
What is the remainder when 5091 is divided by 268?
267
What is the remainder when 1775 is divided by 148?
147
Calculate the remainder when 1114 is divided by 1107.
7
What is the remainder when 3026 is divided by 394?
268
What is the remainder when 2112754 is divided by 415?
404
Calculate the remainder when 1630 is divided by 530.
40
What is the remainder when 16491 is divided by 29?
19
Calculate the remainder when 4708 is divided by 63.
46
What is the remainder when 119151 is divided by 1632?
15
Calculate the remainder when 6600 is divided by 254.
250
What is the remainder when 7472 is divided by 136?
128
What is the remainder when 4312 is divided by 4275?
37
What is the remainder when 15030 is divided by 91?
15
Calculate the remainder when 6872998 is divided by 1160.
1158
Calculate the remainder when 3596 is divided by 313.
153
What is the remainder when 205538 is divided by 18?
14
What is the remainder when 9368 is divided by 63?
44
Calculate the remainder when 6185 is divided by 1542.
17
What is the remainder when 497101 is divided by 12?
1
Calculate the remainder when 6136 is divided by 48.
40
Calculate the remainder when 2525555 is divided by 114.
113
Calculate the remainder when 2231 is divided by 377.
346
What is the remainder when 35208 is divided by 1461?
144
Calculate the remainder when 1295 is divided by 168.
119
What is the remainder when 28628 is divided by 217?
201
Calculate the remainder when 177763 is divided by 88870.
23
Calculate the remainder when 123282 is divided by 238.
236
What is the remainder when 1618011 is divided by 2241?
9
Calculate the remainder when 17435 is divided by 585.
470
What is the remainder when 66682 is divided by 749?
21
What is the remainder when 48398 is divided by 16?
14
What is the remainder when 47218 is divided by 14?
10
Calculate the remainder when 897894 is divided by 169.
166
Calculate the remainder when 9926 is divided by 1231.
78
Calculate the remainder when 146322 is divided by 328.
34
What is the remainder when 11901 is divided by 3922?
135
Calculate the remainder when 15847 is divided by 54.
25
What is the remainder when 294399 is divided by 200?
199
What is the remainder when 1987 is divided by 317?
85
Calculate the remainder when 49477 is divided by 24675.
127
What is the remainder when 34732 is divided by 1233?
208
Calculate the remainder when 71228 is divided by 1273.
1213
What is the remainder when 6631 is divided by 8
|
{
"pile_set_name": "DM Mathematics"
}
|
950, -40208?
-2054*n**2 + 2228*n + 2
What is the k'th term of 83912, 169593, 255274, 340955, 426636?
85681*k - 1769
What is the b'th term of -95, 1257, 2609?
1352*b - 1447
What is the a'th term of -28249, -100603, -221183, -389983, -606997, -872219, -1185643, -1547263?
a**3 - 24119*a**2 - 4*a - 4127
What is the v'th term of -265, -200, 171, 848, 1831, 3120, 4715?
153*v**2 - 394*v - 24
What is the x'th term of 39379, 315186, 1063805, 2521642, 4925103?
39401*x**3 - 22
What is the q'th term of 18935757, 18935761, 18935765?
4*q + 18935753
What is the z'th term of -115086, -115245, -115404, -115563?
-159*z - 114927
What is the p'th term of -25441, -50978, -76647, -102514, -128645, -155106, -181963, -209282?
-11*p**3 - 25460*p + 30
What is the p'th term of 337947, 339538, 341129, 342720, 344311, 345902?
1591*p + 336356
What is the g'th term of 802, 3431, 7942, 14377, 22778?
7*g**3 + 899*g**2 - 117*g + 13
What is the w'th term of -4078, -4969, -5860, -6751, -7642, -8533?
-891*w - 3187
What is the n'th term of -2084, -900, 1108, 3940, 7596, 12076?
412*n**2 - 52*n - 2444
What is the j'th term of 929, 5227, 12383, 22397, 35269?
1429*j**2 + 11*j - 511
What is the i'th term of -51679177, -51679161, -51679135, -51679099?
5*i**2 + i - 51679183
What is the d'th term of 159155, 325807, 492459?
166652*d - 7497
What is the c'th term of -3077, -567, 1945, 4459, 6975?
c**2 + 2507*c - 5585
What is the b'th term of -7957249, -7957287, -7957325, -7957363, -7957401, -7957439?
-38*b - 7957211
What is the o'th term of -3655174, -3655528, -3655882, -3656236, -3656590?
-354*o - 3654820
What is the a'th term of -111378, -113895, -116422, -118965, -121530, -124123, -126750, -129417?
-a**3 + a**2 - 2513*a - 108865
What is the r'th term of -779613, -3118462, -7016547, -12473868, -19490425, -28066218?
-779618*r**2 + 5*r
What is the m'th term of 1294001, 1293978, 1293955, 1293932?
-23*m + 1294024
What is the k'th term of -257805, -513998, -770191, -1026384, -1282577?
-256193*k - 1612
What is the i'th term of 4474, 4722, 4986, 5272, 5586, 5934, 6322, 6756?
i**3 + 2*i**2 + 235*i + 4236
What is the n'th term of 19300, 19223, 19138, 19045, 18944, 18835?
-4*n**2 - 65*n + 19369
What is the f'th term of -1860, -3658, -5442, -7218, -8992, -10770, -12558?
-f**3 + 13*f**2 - 1830*f - 42
What is the v'th term of -17076, -36318, -55558, -74796?
v**2 - 19245*v + 2168
What is the v'th term of 45529, 90964, 136307, 181558, 226717?
-46*v**2 + 45573*v + 2
What is the k'th term of 57471159, 114942316, 172413473, 229884630?
57471157*k + 2
What is the p'th term of -32515, -33222, -34399, -36046?
-235*p**2 - 2*p - 32278
What is the r'th term of -7745858, -7745912, -7746052, -7746320, -7746758, -7747408, -7748312, -7749512?
-7*r**3 - r**2 - 2*r - 7745848
What is the t'th term of 116899, 117263, 117871, 118723, 119819, 121159?
122*t**2 - 2*t + 116779
What is the r'th term of -30220, -61401, -92582, -123763, -154944, -186125?
-31181*r + 961
What is the u'th term of -12823, -65017, -206685, -482563, -937387, -1615893, -2562817?
-7456*u**3 - u**2 + u - 5367
What is the u'th term of -16414, -32765, -49014, -65161, -81206?
51*u**2 - 16504*u + 39
What is the m'th term of 3078, 254, -2578, -5418, -8266, -11122?
-4*m**2 - 2812*m + 5894
What is the c'th term of -1549, -3383, -5197, -6991, -8765, -10519?
10*c**2 - 1864*c + 305
What is the s'th term of 8847947, 8847961, 8847975, 8847989?
14*s + 8847933
What is the y'th term of -470, 871, 2212, 3553, 4894?
1341*y - 1811
What is the w'th term of 4525, 8717, 12855, 16939, 20969, 24945, 28867?
-27*w**2 + 4273*w + 279
What is the y'th term of 15142465, 30284931, 45427397, 60569863, 75712329?
15142466*y - 1
What is the d'th term of 33404, 33393, 33380, 33365, 33348, 33329, 33308?
-d**2 - 8*d + 33413
What is the w'th term of -80916, -161907, -242892, -323871, -404844, -485811, -566772?
3*w**2 - 81000*w + 81
What is the q'th term of 42671910, 42671912, 42671914, 42671916, 42671918, 42671920?
2*q + 42671908
What is the l'th term of 102, 357, 692, 1035, 1314?
-12*l**3 + 112*l**2 + 3*l - 1
What is the p'th term of 42672, 42867, 43062, 43257, 43452?
195*p + 42477
What is the z'th term of 45679, 45548, 45315, 44980?
-51*z**2 + 22*z + 45708
What is the n'th term of 14885, 29700, 44515, 59330, 74145, 88960?
14815*n + 70
What is the a'th term of 91784, 184313, 277584, 371597, 466352?
|
{
"pile_set_name": "DM Mathematics"
}
|
23
Solve 12*r - 223 - 103 = -62 for r.
22
Solve 15*g + 620 = 395 for g.
-15
Solve -31*p - 565 = -214 + 238 for p.
-19
Solve -7*t - 1520 = -1464 for t.
-8
Solve 22*g - 6*g + 16 = 0 for g.
-1
Solve 92*z + 176 = 114*z for z.
8
Solve -12*v = -14*v + 21*v - 361 for v.
19
Solve -257*r + 170 + 5227 = 0 for r.
21
Solve -55 = 10*i - 77 - 88 for i.
11
Solve -56*k = -268*k - 647*k - 28347 for k.
-33
Solve -11*i = 167*i + 2368 - 2190 for i.
-1
Solve 16*v + 75 + 66 = -67 for v.
-13
Solve 106*y - 82 = -303 - 839 for y.
-10
Solve 4*t + 16 = 118*t - 326 for t.
3
Solve 233*g = -71*g - 6*g + 8370 for g.
27
Solve 243*a - 464 = 1480 for a.
8
Solve 46 + 345 = -39*i + 1 for i.
-10
Solve -6233 + 1370 = -306*q + 4929 for q.
32
Solve 251 = 11*z + 295 for z.
-4
Solve -4*l + 7*l + 293 = 326 for l.
11
Solve 5460 = 252*n - 616*n for n.
-15
Solve 3*l = 28*l - 11*l - 13*l for l.
0
Solve -231*v = 230*v + 4149 for v.
-9
Solve -374 - 743 = -110*z + 313 for z.
13
Solve -114*b = 942 + 996 for b.
-17
Solve -573*j + 179*j + 2040 = 116*j for j.
4
Solve 0 = -27*d + 31 - 139 for d.
-4
Solve -364*x - 57 + 57 = 0 for x.
0
Solve -1445*m + 2262 = -1271*m for m.
13
Solve 383 + 247 = 38*f + 212 for f.
11
Solve 455 = 89*v - 257 for v.
8
Solve 29*i - 1649 + 2026 = 0 for i.
-13
Solve 0 = -137*g + 64*g + 219 for g.
3
Solve 192*m + 794 = -52 - 882 for m.
-9
Solve -18*u = 1951*u + 15752 for u.
-8
Solve 96 = -83*t + 59*t for t.
-4
Solve -59*o + 292*o = 6990 for o.
30
Solve -5*r + 2*r = -10*r + 49 for r.
7
Solve 0 = -46*r - 59*r - r - 1272 for r.
-12
Solve -709*s + 503*s - 4115 = 829 for s.
-24
Solve 0 = -18536*p + 18556*p - 440 for p.
22
Solve -28*w - 576 = 27*w + 41*w for w.
-6
Solve -194 - 181 = 25*m for m.
-15
Solve -61*k - 13 + 50 = -146 for k.
3
Solve 118*y + 40*y - 778 = 12 for y.
5
Solve 71*y + 413 = 910 for y.
7
Solve -4444 = 68*n + 336*n for n.
-11
Solve 290*w - 143*w = 136*w - 154 for w.
-14
Solve -56 = -1431*b + 1403*b for b.
2
Solve -53*z - 5*z = 91 - 1599 for z.
26
Solve -1577 + 1481 = -12*k for k.
8
Solve -54*i - 49 = 27 + 32 for i.
-2
Solve 0 = 157*t - 181*t - 153 - 327 for t.
-20
Solve -95*o + 200*o - 210 = 0 for o.
2
Solve -480*g - 128 = -352*g for g.
-1
Solve 0 = -44*q + 350 - 1010 for q.
-15
Solve -1868*d + 30 = -1866*d for d.
15
Solve 25*j + 6 + 67 = -2 for j.
-3
Solve 0 = -1016*a + 1038*a + 66 for a.
-3
Solve 179*b - 88 = 171*b for b.
11
Solve -130*k = -185*k + 95*k - 1040 for k.
26
Solve 1081 = -56*z + 297 for z.
-14
Solve 405 = 14*p + 6*p + 385 for p.
1
Solve 234 + 291 = -247*y - 463 for y.
-4
Solve -q + 99059 = -15*q + 99465 for q.
29
Solve -42*j + 26*j = -19*j + 39 for j.
13
Solve -194 = 270*r - 367*r for r.
2
Solve 35*l = 29*l + 24 for l.
4
Solve 37*t - 656 = 119*t for t.
-8
Solve -15*h + 10298 = 10433 for h.
-9
Solve 0 = -0*k + 42*k + 2*k + 528 for k.
-12
Solve -879 + 356 - 365 = 111*v for v.
-8
Solve -23*m + 143 = 9*m + 527 for m.
-12
Solve b = 4065 - 4084 for b.
-19
Solve -633 = -248*t - 385 for t.
1
Solve -183*m - 209*m + 10008 = 442*m for m.
12
Solve 74366 = -97*d + 76500 for d.
22
Solve -4476 - 23131 = -569*u - 4847 for u.
40
Solve 48*m - 92*m = -78*m + 952 for m.
28
Solve 0 = 324*t - 3030 - 3760 + 310 for t.
20
Solve 302*g = 292*g + 50 for g.
5
Solve -2492 - 3007 = 611*c for c.
-9
Solve 307*k = -441 + 498 - 4048 for k.
-13
Solve 433 = 177*f - 275 for f.
4
Solve 0 = 6*v - 113*v - 122*v - 2290 for v.
-10
Solve 611*y - 1749 - 84 = 0 for y.
3
Solve 8*f + 10*f + 597 - 525 = 0 for f.
-4
Solve -17*x - 69 + 380 - 56 = 0 for x.
15
Solve -620 = -237*c + 299*c for c.
-10
Solve 3726 = -6*c + 126*c + 87*c for c.
18
Solve 17*c = 902 - 1106 for c.
-12
Solve 0 = -23*p + 42*p - 380 for p.
20
Solve 237*u - 913 = 319*u + 891 for u.
-22
Solve 1 = 10*z - 32 + 13 for z.
2
Solve -33*c - 146 + 4388 = 270*c for c.
14
Solve 7*c = 2*c + 2*c - 9 for c.
-3
Solve -401*i + 651*i = 4750 for i.
19
Solve 0 = -68*r - 509 - 103 for r.
-9
Solve 0 = -39*o - 159 - 75 for o.
-6
Solve -295*g + 13*g + 1550 = 28*g for g.
5
Solve -65 = 733*a - 798*a + 260 for a.
5
Solve -y - 871 = 76*y - 10*y for y.
-13
Solve -418 = 56*v - 810 for v.
7
Solve -11404*s + 11406*s = 16 for s.
8
Solve 0 = 2*x + 47948 - 47960 for x.
6
Solve 101*n = -7*n for n.
0
Solve -21*s - 141 - 52 = -4 for s.
-9
Solve -206*n - 1563 = 1115 for n.
|
{
"pile_set_name": "DM Mathematics"
}
|
te prob of picking 1 k and 1 s when two letters picked without replacement from {s: 3, y: 2, m: 3, a: 2, k: 6}.
3/20
Two letters picked without replacement from {z: 9, c: 1, i: 1, t: 1}. What is prob of picking 1 c and 1 z?
3/22
Three letters picked without replacement from {c: 11, a: 4, g: 3}. Give prob of picking 3 c.
55/272
Two letters picked without replacement from etteeeheth. What is prob of picking 1 h and 1 e?
2/9
What is prob of picking 3 l and 1 o when four letters picked without replacement from oloolllolll?
14/33
Two letters picked without replacement from {z: 8, p: 8, c: 4}. Give prob of picking 2 z.
14/95
Four letters picked without replacement from {o: 3, p: 4, s: 3, t: 2, f: 7}. Give prob of picking 1 t, 1 s, and 2 f.
21/646
Four letters picked without replacement from {g: 6, l: 6, e: 1, r: 7}. What is prob of picking 1 l, 1 r, and 2 g?
42/323
Four letters picked without replacement from hhqqqqqqhqqqqqqq. What is prob of picking 4 q?
11/28
Two letters picked without replacement from twptppwwp. Give prob of picking 2 t.
1/36
Two letters picked without replacement from {g: 3, n: 7}. Give prob of picking 2 n.
7/15
Calculate prob of picking 1 v and 1 u when two letters picked without replacement from qarrvavrurhrqhvrrvqv.
1/38
Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, j: 4, t: 1, g: 5}.
1/11
Four letters picked without replacement from wwwpwwwwwwwwwwwwwwww. Give prob of picking 3 w and 1 p.
1/5
Calculate prob of picking 2 f when two letters picked without replacement from vvvvvvvfvfvvvvvvvv.
1/153
Two letters picked without replacement from {u: 1, b: 2, h: 2, w: 1}. Give prob of picking 2 b.
1/15
What is prob of picking 2 f and 1 x when three letters picked without replacement from {e: 6, f: 3, x: 4}?
6/143
Three letters picked without replacement from {h: 2, q: 1, x: 4, i: 1}. What is prob of picking 2 x and 1 q?
3/28
Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 3, x: 4}.
4/7
Three letters picked without replacement from {v: 6, z: 7}. What is prob of picking 3 z?
35/286
Four letters picked without replacement from ggcsgsslgscgl. Give prob of picking 3 s and 1 c.
8/715
What is prob of picking 2 k and 1 x when three letters picked without replacement from ukkxkkkkkkxkkuk?
22/91
What is prob of picking 2 i and 1 v when three letters picked without replacement from ivlil?
1/10
Three letters picked without replacement from fvfsahaafaf. What is prob of picking 1 a and 2 f?
8/55
Two letters picked without replacement from {v: 8, f: 3, a: 5}. What is prob of picking 1 a and 1 v?
1/3
Four letters picked without replacement from {t: 3, z: 7, o: 3}. Give prob of picking 2 z and 2 t.
63/715
Three letters picked without replacement from {j: 7, w: 10, p: 1}. What is prob of picking 3 j?
35/816
Four letters picked without replacement from {s: 1, y: 2, p: 7, a: 1, n: 4, q: 3}. Give prob of picking 1 p, 1 a, 1 s, and 1 n.
7/765
Three letters picked without replacement from {x: 1, e: 1, s: 2, d: 3, m: 3, c: 1}. What is prob of picking 1 e, 1 m, and 1 x?
1/55
Calculate prob of picking 1 j, 1 d, and 1 r when three letters picked without replacement from rjwqjdq.
2/35
Calculate prob of picking 4 b when four letters picked without replacement from {j: 13, b: 5}.
1/612
Four letters picked without replacement from xcccbxcccrbxtbbc. What is prob of picking 1 t, 1 b, and 2 x?
3/455
Two letters picked without replacement from sderqrse. Give prob of picking 1 q and 1 r.
1/14
What is prob of picking 1 p and 1 q when two letters picked without replacement from dqmppmmppmpmmuqduqk?
5/57
Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {n: 13, l: 3, a: 2}.
1/272
Three letters picked without replacement from {p: 2, r: 3}. What is prob of picking 2 r and 1 p?
3/5
Two letters picked without replacement from fqummqq. What is prob of picking 1 m and 1 u?
2/21
Two letters picked without replacement from kkqvlkqvjkqvvvqkevqv. What is prob of picking 1 e and 1 j?
1/190
Calculate prob of picking 4 o when four letters picked without replacement from {l: 9, a: 2, x: 1, o: 7}.
35/3876
Calculate prob of picking 2 v, 1 s, and 1 b when four letters picked without replacement from {b: 1, z: 1, v: 2, s: 1}.
1/5
Two letters picked without replacement from {j: 2, m: 1, n: 1}. Give prob of picking 1 n and 1 j.
1/3
Two letters picked without replacement from hcchcchchchc. What is prob of picking 1 h and 1 c?
35/66
Three letters picked without replacement from sssqskkskqskskkkkq. Give prob of picking 3 q.
1/816
Three letters picked without replacement from {k: 4, t: 2, a: 4, g: 2, q: 2, y: 6}. Give prob of picking 1 t and 2 y.
1/38
What is prob of picking 1 v, 1 w, and 1 r when three letters picked without replacement from {w: 7, r: 2, v: 1}?
7/60
Calculate prob of picking 2 a when two letters picked without replacement from mkxxzmzazaqx.
1/66
What is prob of picking 2 y when two letters picked without replacement from ykkyyyy?
10/21
What is prob of picking 1 r, 2 o, and 1 t when four letters picked without replacement from {t: 3, o: 2, r: 2, k: 2}?
1/21
Calculate prob of picking 2 e when two letters picked without replacement from {e: 9, k: 11}.
18/95
What is prob of picking 3 i when three letters picked without replacement from {p: 1, i: 11, d: 5}?
33/136
Four letters picked without replacement from {i: 3, v: 6, x: 1, d: 2, a: 1}. Give prob of picking 2 v and 2 d.
3/143
Two letters picked without replacement from nyyanq. What is prob of picking 1 n and 1 q?
2/15
Three letters picked without replacement from {j: 9, b: 1, k: 1, e: 4, c: 1, t: 4}. Give prob of picking 1 b and 2 c.
0
Two letters picked without replacement from ivrvl. Give prob of picking 1 i and 1 l.
1/10
What is prob of picking 2 d and 1 i when three letters picked without replacement from piirvvdiipdpffv?
4/455
Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {c: 1, n: 1, s: 1}.
1/3
Calculate prob of picking 2 x when two letters picked without replacement from {i: 2, c: 1, v: 7, x: 3, z: 4}.
3/136
Four letters picked without replacement from cccyccy. What is prob of picking 4 c?
1/7
Calculate prob of picking 2 k, 1 v, and 1 x when four letters picked without replacement from vjxxnknvvxkv.
4/165
Calculate prob of picking 1 a and 2 r when three letters picked without replacement from rlwaar.
1/10
Two letters picked without replacement from tttrtttbtbtbtq. What is prob of picking 1 b and 1 r?
3/
|
{
"pile_set_name": "DM Mathematics"
}
|
7)
Simplify 6*-1*(sqrt(76)/sqrt(4) + sqrt(19)) + sqrt(76)/(sqrt(64) - sqrt(4)) + sqrt(190)/(sqrt(30)/sqrt(3)).
-32*sqrt(19)/3
Simplify (0 + (-6*1*sqrt(242) - 6*sqrt(242)*1))**2.
34848
Simplify (sqrt(96) + sqrt(96) + sqrt(96) + -1*(sqrt(96)*-2 - sqrt(96)))/(6*(sqrt(2) + sqrt(18))).
sqrt(3)
Simplify -6*(4*-2*sqrt(1617))/(-5*sqrt(30)/(sqrt(30)/sqrt(3))).
-336*sqrt(11)/5
Simplify -5*(-1 + (sqrt(3)*2*1 - sqrt(3))) + (-3*sqrt(54)/sqrt(2))**2 + -4.
-5*sqrt(3) + 244
Simplify -5 + (4*-1*sqrt(288) - (sqrt(8)/sqrt(2)*5)/sqrt(2)).
-53*sqrt(2) - 5
Simplify (sqrt(448)/sqrt(32) - (2*sqrt(280))/sqrt(5))/(-2*sqrt(24)/sqrt(3) + 1*sqrt(968)).
-sqrt(7)/6
Simplify ((-3 + (2*(sqrt(1584) + 1 - sqrt(1584)) - (sqrt(1584) + (sqrt(1584) + sqrt(1584) + 0 - sqrt(1584)) + 3)))*6)**2.
6912*sqrt(11) + 228672
Simplify (3 + -3*sqrt(17)*2)**2 - (2 + sqrt(136)/(-2*sqrt(8))).
-71*sqrt(17)/2 + 619
Simplify ((0 + sqrt(3))*-4)**2 + (sqrt(243)*-2)**2 + 5 + sqrt(108) + sqrt(108)*-2 + 1.
-6*sqrt(3) + 1026
Simplify (sqrt(17) + ((sqrt(17) + -1)*4 - sqrt(17)) - (sqrt(17) - sqrt(833)*2))**2 + (3*sqrt(136)*3 + sqrt(136) - sqrt(136))/sqrt(8).
-127*sqrt(17) + 4929
Simplify (5*-5*((-2 + sqrt(125))*4)**2 + 1)*6.
-309594 + 48000*sqrt(5)
Simplify (-2 + sqrt(12)/sqrt(4) - (-1*sqrt(27) - sqrt(27))/sqrt(9))*-5.
-15*sqrt(3) + 10
Simplify (1 + sqrt(425) + 2)**2 - (-1*sqrt(1700) - 5*((-2 + sqrt(17))**2 - sqrt(17))).
15*sqrt(17) + 539
Simplify (3*(sqrt(143) + (sqrt(143) - sqrt(143)*2) + sqrt(143) - sqrt(143))*6)/(2*(sqrt(11) + sqrt(44)/sqrt(4)) + -1*sqrt(11)*-4).
0
Simplify sqrt(39)/(sqrt(3) - (sqrt(3) - sqrt(6)/sqrt(2))*-2) + ((1 + sqrt(13))**2 - sqrt(13))*2 + 5.
3*sqrt(13) + 33
Simplify ((-1*sqrt(605))/sqrt(11) - 1*sqrt(55)*-2)/(4*sqrt(66)/sqrt(6)*6).
sqrt(5)/24
Simplify ((sqrt(45)*2*-4 - ((-2*sqrt(1620) + sqrt(1620) - sqrt(1620)) + sqrt(45)))/((sqrt(9) - sqrt(729)*-2)*5))**2.
9/1805
Simplify ((sqrt(3) - 1*sqrt(75)) + -4)**2 + (sqrt(12)/sqrt(4) + 4 - sqrt(3) - (sqrt(81)/sqrt(3))/sqrt(9)).
31*sqrt(3) + 68
Simplify (2*sqrt(1088))**2 + -1 + -2 + 1.
4350
Simplify -6*4*((sqrt(121)*1*2)/(sqrt(55)/sqrt(20)))**2.
-4224
Simplify -2*6*((-3 + sqrt(108) + 1)**2 + 4)*-4.
-1152*sqrt(3) + 5568
Simplify 3 + (1 + 0 + (sqrt(38)/sqrt(2) - sqrt(19)) - (2 + (0 + sqrt(171))**2)).
-169
Simplify -2 + ((sqrt(98)*2)/sqrt(7))/((sqrt(14) + sqrt(224))/sqrt(2) - sqrt(7)) + -5.
-7 + sqrt(2)/2
Simplify (0 + 3*3*sqrt(1377) + (sqrt(1377) + 5*(-2 + sqrt(1377)) - sqrt(1377)) + sqrt(1377) + -3 + 0 + sqrt(1377))**2.
-3744*sqrt(17) + 352681
Simplify (-2 + -2 + -2 + (sqrt(2448)*-1 - sqrt(2448)) + sqrt(2448))**2.
144*sqrt(17) + 2484
Simplify -2 + (-3 + -4*sqrt(931))**2 + -1 + -5.
168*sqrt(19) + 14897
Simplify -5*((sqrt(3) - (sqrt(3) - -2*sqrt(3)))**2 + 4) + 2 + sqrt(3) + sqrt(18)/(sqrt(24)/sqrt(4)).
-78 + 2*sqrt(3)
Simplify 3*(-4*(sqrt(117) + 2)**2 + (sqrt(117) - ((sqrt(117)*-1 + 3)**2 - sqrt(117))))*5.
-9150 - 360*sqrt(13)
Simplify ((sqrt(80)/sqrt(2))/sqrt(5))/sqrt(4) - (sqrt(2) - (sqrt(8) + -3))*6.
-18 + 7*sqrt(2)
Simplify sqrt(63)/(sqrt(36)*2) + 3 - -1*(sqrt(1792) - (sqrt(1792) + sqrt(1792) + 1)).
-63*sqrt(7)/4 + 2
Simplify 4*(-4*sqrt(78)*6 + sqrt(78))/(sqrt(72)/sqrt(12)*-6 + sqrt(6)).
92*sqrt(13)/5
Simplify -2 + ((1*(sqrt(70) + sqrt(70)*2))/(-2*sqrt(1000) - sqrt(10)))**2.
-13/7
Simplify ((sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 0))*1*4)**2.
-224*sqrt(2) + 1584
Simplify -4 + ((-2 + sqrt(1216) + sqrt(1216) + 0 - sqrt(1216)) + 1 + sqrt(1216) + 4 + 0 + sqrt(1216) + 1 + 1 + (sqrt(1216)*2 - sqrt(1216)))**2.
320*sqrt(19) + 19477
Simplify ((-5*sqrt(500)*1)/(sqrt(70)/(sqrt(7)*-2)) + 0)**2.
5000
Simplify (-2 + ((4*(sqrt(1584)*-2 - sqrt(1584)))**2 - (-6*(sqrt(11) + 0 - sqrt(11)) - (sqrt(22)/sqrt(2) + -2))))*-1.
-228092 - sqrt(11)
Simplify -3*(2*(-2 + sqrt(1573) + -1 + sqrt(1573))*3)**2 + -5.
-680513 + 14256*sqrt(13)
Simplify (1*sqrt(128)*-2 - -1*(sqrt(128) + -2))**2.
32*sqrt(2) + 132
Simplify (1*((0 + sqrt(13) - sqrt(13)) + 5 - (4 + sqrt(13) + 4))*-5)**2.
150*sqrt(13) + 550
Simplify (-5 + -5 + 5 + sqrt(500) + (3*sqrt(500) - sqrt(500)))**2.
-300*sqrt(5) + 4525
Simplify (-5 + (sqrt(76) - sqrt(76)*-2))*-4 - (sqrt(19) - ((sqrt(19) + 3)**2 + -5) - (sqrt(475)*2)**2).
-19*sqrt(19) + 1943
Simplify (sqrt(65) + (sqrt(65) + (sqrt(65) - ((sqrt(65) - 2*sqrt(65)) + sqrt(65))) - sqrt(65))*1)/(1*sqrt(125)) - (3 + 2 + sqrt(1573)*2).
-108*sqrt(13)/5 - 5
Simplify 4*(0 + sqrt(1008) + 4 - sqrt(1008))**2 - (sqrt(21)/(sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
rd derivative of -n**6/15 - n**5/10 + n**4/4 + 7*n**3/6 + 17*n**2. Let v(b) = -9*b**3 - 7*b**2 + 7*b + 8. Give 7*f(d) - 6*v(d).
-2*d**3 + 1
Let t(z) be the second derivative of -z**3/6 - 5*z**2/2 - 7*z. Let v(g) = 1. What is -t(m) - 6*v(m)?
m - 1
Let n(b) = -170*b**2 - 11. Let h(f) = 57*f**2 + 4. Determine -11*h(r) - 4*n(r).
53*r**2
Let k(j) = 18*j**3 + 4*j**2 - 4*j + 4. Let l(q) = -q**3 - q**2 + q - 1. What is -k(g) - 4*l(g)?
-14*g**3
Let c(n) be the first derivative of -n**2 + 3*n + 7. Let x(s) be the third derivative of -s**4/6 + 7*s**3/6 + 2*s**2. Determine -5*c(k) + 2*x(k).
2*k - 1
Let q(r) = r**2 + r - 1. Let i(u) = 13*u**2 + 10*u - 14. Let o(y) = -7*y**2 - 5*y + 7. Let v(j) = -4*i(j) - 7*o(j). Calculate 5*q(d) + v(d).
2*d**2 + 2
Let n(t) = 3*t**3 + 5*t**2 + 3*t. Let w(i) = 9*i**3 + 14*i**2 + 8*i + 1. Determine -8*n(x) + 3*w(x).
3*x**3 + 2*x**2 + 3
Suppose -f + 2 = -2. Let h(w) = f*w + 0 - 8 + 6. Let l(x) = 9*x - 4. Calculate -7*h(i) + 3*l(i).
-i + 2
Let l = 3 + -2. Let v(b) = -2 - l + 2 - 2*b**2. Let n(y) be the first derivative of -8*y**3/3 - y**2/2 - 5*y - 2. Calculate -2*n(a) + 9*v(a).
-2*a**2 + 2*a + 1
Let t(u) = 4*u - 1. Let l be (-8)/10*(-10)/4. Let d(a) be the second derivative of -1/6*a**3 - a + 0*a**l + 0. Determine 6*d(x) + 2*t(x).
2*x - 2
Suppose 1 - 3 = -x. Let a be 9/(-4)*32/12. Let b(t) = t. Let z(y) = 4*y + 1. Determine a*b(m) + x*z(m).
2*m + 2
Let h(w) = -w - 1 + 2 - w. Suppose 16 = o + 50. Let a(g) = -11*g + 6. What is o*h(p) + 6*a(p)?
2*p + 2
Let z(i) = 2*i - 3. Let h be z(2). Let o(l) = 6*l + 10. Let f(a) = a + 1. What is h*o(r) - 8*f(r)?
-2*r + 2
Let s = 4 - 1. Suppose 4*k + 31 - s = 0. Let f(o) = 3*o + 7. Let z(m) = -m - 2. What is k*z(q) - 2*f(q)?
q
Let b(k) = 4*k**2 - 4*k - 2. Let j(y) = 7*y**2 - 7*y - 5. What is -5*b(d) + 3*j(d)?
d**2 - d - 5
Let p(x) be the third derivative of -x**6/30 - x**5/60 - x**4/24 - x**2 - 21*x. Let o(d) = -5*d**3 - d**2 - d. Calculate -2*o(y) + 3*p(y).
-2*y**3 - y**2 - y
Let l(w) = -12*w**2 - 2. Let b(s) = 25*s**2 + 5. What is -2*b(j) - 5*l(j)?
10*j**2
Let p(b) = b + 5. Let r(u) = 8 + 5*u + 3 - 3*u. Suppose -2*n - 22 = 4. What is n*p(d) + 6*r(d)?
-d + 1
Let u(w) be the first derivative of w**2/2 + w + 4. Let r(a) = a + 1. Determine 6*r(i) - 7*u(i).
-i - 1
Let t(y) = -3*y**3 + 2*y - 2. Let c(s) = 1 - 5 + 3 + s. Let n = 30 + -28. Calculate n*c(q) - t(q).
3*q**3
Let n(y) = 6*y**3 + 2*y**2 + 4*y + 1. Let u(p) = p**3 + p. Determine -n(w) + 4*u(w).
-2*w**3 - 2*w**2 - 1
Let s(y) = -4*y**3 + 9*y - 1. Let m(c) = c**3 - 2*c. Determine -9*m(d) - 2*s(d).
-d**3 + 2
Let s(i) = i**2 + i + 1. Let l(x) = -x**2 - 2. Determine l(z) + 4*s(z).
3*z**2 + 4*z + 2
Let d(k) = 5*k**3 + 4*k**2 + 4*k - 1. Let u(i) = i**3 + i**2 + i. Let b = 8 + -2. Let m be ((-10)/b)/(-5)*3. Determine m*d(v) - 4*u(v).
v**3 - 1
Let p(s) = 5*s**3 + 5*s - 4. Let w(f) = -9*f**3 - 9*f + 7. Calculate -5*p(j) - 3*w(j).
2*j**3 + 2*j - 1
Let x(s) = 9*s + 15. Let m(t) = t + 4901 - 4894 + 3*t. What is -7*m(y) + 3*x(y)?
-y - 4
Let l(h) = -11*h - 3. Let i(f) = -5*f - 1. What is -7*i(d) + 3*l(d)?
2*d - 2
Let n(d) = -8*d**2 - 5*d + 5. Let c(x) = -21*x**2 - 4*x + 4. Let w(h) = 10*h**2 + 2*h - 2. Let k(b) = -6*c(b) - 13*w(b). What is 5*k(m) - 2*n(m)?
-4*m**2
Let n(q) = -2*q**3 + 3*q + 1. Let r(g) = g. Give n(w) - 3*r(w).
-2*w**3 + 1
Let x(y) be the first derivative of -3*y**2 - 7*y - 16. Let j(p) be the first derivative of 5*p**2/2 + 6*p - 1. Determine 5*j(o) + 4*x(o).
o + 2
Let s(z) = 4*z - 3. Let f(h) = -2*h + 2. Let t = -17 + 12. Let d(p) = p**2 + 8*p + 4. Let j be d(-7). Give j*s(o) + t*f(o).
-2*o - 1
Let f(l) = -3 - 3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
when four letters picked without replacement from qqqjoooooqzoz.
3/715
What is prob of sequence wvvr when four letters picked without replacement from {p: 1, w: 2, s: 3, v: 3, r: 1}?
1/420
Four letters picked without replacement from {b: 4, c: 4, n: 8}. What is prob of sequence cccc?
1/1820
Three letters picked without replacement from tttzzztztppt. Give prob of sequence tpt.
1/22
Calculate prob of sequence kzz when three letters picked without replacement from {k: 1, x: 1, c: 1, o: 1, z: 2, j: 1}.
1/105
Two letters picked without replacement from urjmurzuuurzmzzwuuru. Give prob of sequence zu.
8/95
Two letters picked without replacement from gcdd. What is prob of sequence gc?
1/12
Three letters picked without replacement from {p: 8, u: 2, f: 7, o: 3}. What is prob of sequence ofo?
7/1140
What is prob of sequence kmii when four letters picked without replacement from {k: 4, y: 1, s: 2, i: 3, m: 2, u: 2}?
2/1001
Calculate prob of sequence ccss when four letters picked without replacement from {s: 9, c: 5}.
60/1001
Calculate prob of sequence kr when two letters picked without replacement from {t: 1, r: 1, f: 1, k: 1, z: 1}.
1/20
Calculate prob of sequence xmmx when four letters picked without replacement from {m: 2, q: 12, x: 4, b: 2}.
1/4845
Four letters picked without replacement from whazadwadqhzzzzdzzdd. What is prob of sequence qhhd?
1/11628
Two letters picked without replacement from {j: 1, o: 1, z: 1, u: 1, e: 1, c: 2}. What is prob of sequence jz?
1/42
Three letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaa.
1
Two letters picked without replacement from ptjpbjpgtjj. What is prob of sequence bp?
3/110
Three letters picked without replacement from {g: 1, b: 1, e: 2, m: 1, p: 2}. What is prob of sequence gmg?
0
Three letters picked without replacement from jnnj. Give prob of sequence njj.
1/6
Calculate prob of sequence mv when two letters picked without replacement from mfpfpvxrm.
1/36
Calculate prob of sequence bs when two letters picked without replacement from bbsbsb.
4/15
Four letters picked without replacement from {x: 4, z: 4, p: 7}. Give prob of sequence zzzx.
4/1365
Calculate prob of sequence ffff when four letters picked without replacement from {f: 4}.
1
Three letters picked without replacement from scccscw. What is prob of sequence cwc?
2/35
Two letters picked without replacement from {f: 2, k: 1}. Give prob of sequence ff.
1/3
Three letters picked without replacement from {y: 3, q: 1}. Give prob of sequence yyy.
1/4
Calculate prob of sequence mk when two letters picked without replacement from {f: 4, v: 2, r: 2, m: 2, w: 1, k: 3}.
3/91
What is prob of sequence ttx when three letters picked without replacement from {t: 2, x: 18}?
1/190
Two letters picked without replacement from xkkx. What is prob of sequence kx?
1/3
Two letters picked without replacement from {t: 2, k: 9, o: 1, u: 4}. What is prob of sequence tu?
1/30
What is prob of sequence rr when two letters picked without replacement from rkrkrkrr?
5/14
What is prob of sequence kgg when three letters picked without replacement from {g: 3, j: 12, k: 2}?
1/340
Four letters picked without replacement from {a: 1, h: 2, v: 4, w: 2}. What is prob of sequence avvv?
1/126
Three letters picked without replacement from zqkqgkaaiqgzigiq. Give prob of sequence zgz.
1/560
What is prob of sequence eggp when four letters picked without replacement from {g: 7, p: 9, e: 2}?
7/680
Three letters picked without replacement from {r: 2, a: 3}. What is prob of sequence arr?
1/10
What is prob of sequence gy when two letters picked without replacement from gyy?
1/3
What is prob of sequence ood when three letters picked without replacement from odooroooomno?
7/165
What is prob of sequence pv when two letters picked without replacement from {p: 2, r: 1, v: 4}?
4/21
Four letters picked without replacement from {m: 6, s: 4, j: 3, o: 6}. What is prob of sequence sjsm?
3/1292
Two letters picked without replacement from {j: 1, i: 4, h: 1, a: 2}. Give prob of sequence hj.
1/56
What is prob of sequence ze when two letters picked without replacement from uzeeu?
1/10
Two letters picked without replacement from yjjppyyqqjjjjyjjq. What is prob of sequence pq?
3/136
What is prob of sequence ccc when three letters picked without replacement from {l: 2, z: 9, c: 6, k: 1}?
5/204
What is prob of sequence xx when two letters picked without replacement from xxxxxxxfxfxfffxxxfx?
26/57
Three letters picked without replacement from {d: 9}. What is prob of sequence ddd?
1
Four letters picked without replacement from {w: 2, m: 8, e: 2, z: 3}. Give prob of sequence mmmm.
2/39
What is prob of sequence itii when four letters picked without replacement from atiaaaiiaaaaaaaiai?
1/1224
Four letters picked without replacement from {d: 4, f: 3, x: 2}. What is prob of sequence fxxd?
1/126
Two letters picked without replacement from pwmpwptmxtmxhx. What is prob of sequence hm?
3/182
Calculate prob of sequence eaee when four letters picked without replacement from {e: 3, a: 1, i: 4}.
1/280
Four letters picked without replacement from qoppddqdpzdd. Give prob of sequence odzd.
1/594
Calculate prob of sequence os when two letters picked without replacement from mmomzsf.
1/42
Two letters picked without replacement from ooocjohooowzoz. Give prob of sequence jo.
4/91
Four letters picked without replacement from akaiaffisfi. Give prob of sequence ffkf.
1/1320
Calculate prob of sequence zs when two letters picked without replacement from zzzqbzasszqszzzzbb.
3/34
Two letters picked without replacement from {d: 8, c: 2}. What is prob of sequence cc?
1/45
What is prob of sequence ol when two letters picked without replacement from ylohojjh?
1/28
Two letters picked without replacement from bbkxxxx. What is prob of sequence bk?
1/21
Calculate prob of sequence tt when two letters picked without replacement from {t: 4, r: 3, g: 5, h: 1}.
1/13
Calculate prob of sequence rhr when three letters picked without replacement from {r: 2, p: 1, u: 1, h: 9, m: 7}.
1/380
Four letters picked without replacement from {f: 10, c: 4}. Give prob of sequence ccfc.
10/1001
Two letters picked without replacement from {j: 2, a: 1}. Give prob of sequence aj.
1/3
What is prob of sequence cy when two letters picked without replacement from {x: 1, p: 1, m: 4, y: 1, c: 1}?
1/56
Three letters picked without replacement from nwgwggwww. Give prob of sequence gww.
5/42
Three letters picked without replacement from nnnnnqqnqnq. Give prob of sequence qqq.
4/165
What is prob of sequence ol when two letters picked without replacement from ooeoloeeeeele?
2/39
Calculate prob of sequence kllk when four letters picked without replacement from {l: 10, k: 6, d: 4}.
15/646
Four letters picked without replacement from qrrrrrrrqrq. Give prob of sequence qrqr.
7/165
Two letters picked without replacement from xxx. What is prob of sequence xx?
1
What is prob of sequence gttp when four letters
|
{
"pile_set_name": "DM Mathematics"
}
|
514 = -510 for m.
-1
Solve -4*x - 5 = 3*c - 22, -3*x = 2*c - 13 for c.
-1
Solve -7*c - 7*x + 4 = -4*x, -3*c - 4*x - 1 = 0 for c.
1
Solve 7*x + 3*z + 2360 = 2418, 0 = -x - 2*z + 13 for x.
7
Solve 5*h - 20 = -2*q, 0 = -3*h - 2*h + 4*q - 10 for h.
2
Solve 4*k + 264 - 276 = 4*h, -9*h + 0 = -k + 11 for k.
2
Solve 4 = -3*i + 2*z, -107*i + 102*i + 2 = z for i.
0
Solve -3*y - s = 10, 5*y - 1199*s + 40 = -1196*s for y.
-5
Solve -5*s - 60 = 5*f, 893 = -4*s + 3*f + 901 for s.
-4
Solve -b + 5*q = 3, -2*b + 25*q - 6 = 30*q for b.
-3
Solve 0 = -11*a - h + 84, a - 995*h = -994*h + 12 for a.
8
Solve w = -4*p - 97, -6348 = -2*w - 4*p - 6450 for w.
-5
Solve w + 3 = y, -4*w = -16*y + 11*y + 11 for w.
-4
Solve f = y - 3 - 2, 9*y - 1472 = -1454 for f.
-3
Solve 5*s = 2*r - 693 + 710, -24 = -r - 4*s for r.
4
Solve 0 = -5*p - 56*g - 1543, -4*p = -2*p - 4*g - 122 for p.
5
Solve -2*t - 10 = 2*c, 69*t - 73*t = 3*c + 20 for t.
-5
Solve 3*c + 2*t = 5, 2*c - 25*t - 26 = -32*t for c.
-1
Solve 3*d = 3*y - 15, -2*d = 9*y - 68 - 21 for d.
4
Solve 5*a + 10 = 0, 2*a - 11 = -2*o + 41 for o.
28
Solve 0 = -5*t - 9*a + 69, -192*a + 193*a = -t + 9 for t.
3
Solve 3*c + 47 = 4*t, 11 = -5*t - 66*c + 62*c for t.
5
Solve -5*m - 31 - 14 = 3*l, -4*m = -4*l - 60 for l.
-15
Solve -4*o - 4 = 0, 4*z = -4*o + 220 - 236 for z.
-3
Solve 0 = -x + 3*z + 1, 1969*z + 10 = -3*x + 1965*z for x.
-2
Solve -2*q + 5*k = -37 + 59, 4*k = -4*q + 12 for q.
-1
Solve -2 = -2*c + 4*k, 2*c = -3*c + 2*k - 3 for c.
-1
Solve 2*l = 4*u - 34, -438*u + 433*u + 3*l + 41 = 0 for u.
10
Solve 102*u + 11 = 104*u + 3*v, -5*u + 90 = -5*v for u.
13
Solve -2*m = 5*n - 30, n + 5*m + 17 = 23 for n.
6
Solve -c + 1697*n + 12 = 1695*n, 3*n = -3*c - 27 for c.
-2
Solve 5*b = 4*o + 35, 5 = -3*o + 5*b - 25 for o.
-5
Solve 0 = -5*a - 5*b + 5, 2*b + 24 - 28 = -4*a for a.
1
Solve 2*u + 12 = 0, 887 = -5*n + 2*u + 899 for n.
0
Solve 2*y - 2 = c - 1, -23 = -4*y - 5*c for y.
2
Solve -2*h + 5*c - 36 = 0, -9*h + 6*h + 7*c = 52 for h.
-8
Solve z = -5*d + 19, -8*d = 128*z - 132*z - 8 for z.
4
Solve -639*g - 650*g - 3*s = -1291*g + 2, 4*s + 1 = 3*g for g.
-5
Solve 0 = 2*k - 3*j + 9, 4099*j = k + 4106*j - 38 for k.
3
Solve 6*p + 3*z = -30, 4*p + 269*z - 22 = 274*z for p.
-2
Solve -672*k + 4*q = -668*k - 8, -6 = -2*k + 3*q for k.
0
Solve -4*v - 8*k + 11 - 59 = 0, -2*v = 3*k + 21 for v.
-6
Solve 4*m + 4 = 2*a, -2*m - 2 - 2 = -2*a for a.
2
Solve 17*k + 5*d - 443 = -256, -2*k = -4*d - 22 for k.
11
Solve -120*o + 14 = 2*y - 123*o, o = -6*y + 2 for y.
1
Solve 5*g - 106 = -4*j, -4519*g + 4517*g = -4*j - 20 for g.
18
Solve -62*r + 5*a = -57*r + 15, 0 = -r + 3*a - 13 for r.
2
Solve -16662*b - 3*m - 24 = -16665*b, 4*m + 35 = 5*b for b.
3
Solve 9*n = -3*w - 11*n + 17*n, 0 = -3*w - 4*n - 5 for w.
5
Solve w + 5 = 7*o, 5*o + 280*w - 276*w + 20 = 0 for o.
0
Solve f - 57 = -9*y - 59, 3*y + 5*f + 52 = 0 for y.
1
Solve h = v - 4, -3*v + 40 - 27 = -4*h for v.
3
Solve -3*y = -5*o - 39, -689 = -2*o - 5*y - 655 for o.
-3
Solve -50 = 219*h - 214*h - 5*w, 2*w - 10 = 0 for h.
-5
Solve -45*b + 40*b + 128 = -3*v, -4*b + 2*v + 104 = 0 for b.
28
Solve x + 5*m - 11 = 2*x, -2 = -2*m for x.
-6
Solve v - 12 = 2*t, 317*v + t = 315*v - 16 for v.
-4
Solve -2*y - 3*r = 1087 - 1133, 0 = -5*y - 2*r + 27 for y.
-1
Solve 3*u = -d - 25, 21 = 211*u - 214*u + 3*d for u.
-8
Solve -5*h = -12*s - 105, 74*h + 43 = 76*h - 5*s for h.
9
Solve 5*d - 71*q = -66*q - 20, 0 = 7*d + 4*q + 6 for d.
-2
Solve -6*p = -9*p + 7*r + 21, 5*p - 12 = 4*r for p.
0
Solve -97844*n = -97841*n - 2*k, 22 = -2*n + 5*k for n.
4
Solve -37 = 3*i + 4*x, -41*x = -39*x + 14 for i.
-3
Solve -4*h + 4569 - 4582 = n, -3*h = 3*n + 12 for h.
-3
Solve 6*v + 5*r = -22, -38*r + 35*r -
|
{
"pile_set_name": "DM Mathematics"
}
|
rt n, o, 10.
o, n, 10
Let q = 0 + -25. Let w be (-21)/5 - 5/q. Let b be 2/6*171/57. Put w, -5, 4, b in descending order.
4, b, w, -5
Let j be 5 - (-1 - -9)*102/(-24) - -6. Put -1, j, 0, 5, -2 in increasing order.
-2, -1, 0, 5, j
Suppose 6*l + 74459 = 74429. Sort -1/4, l, -1/2, -0.6, 3 in decreasing order.
3, -1/4, -1/2, -0.6, l
Let p be (6/(-14))/((-2)/7). Let u = -0.9035 - -0.0315. Let g = 0.472 + u. Sort 2, p, g, -5.
-5, g, p, 2
Let o(q) = 2*q**3 - 11*q**2 + 9*q - 17. Suppose -21 = -9*h + 24. Let b be o(h). Let j(r) = r + 13. Let m be j(-13). Sort -3, b, m, -8 in decreasing order.
b, m, -3, -8
Let i = -1.5 - -7.8. Let x = 6.71 - i. Let o = -0.46 + x. Put 2/5, o, -0.3 in descending order.
2/5, o, -0.3
Suppose -3*k = 12*k. Sort -4, 3, -2, k in decreasing order.
3, k, -2, -4
Suppose -2722 + 905 + 907 = -91*u - 910. Let d = 20 + -36. Suppose k = -4*j + 12, 4*j + 9 = 5*k - 3. Sort u, k, d.
d, u, k
Suppose 2*r = 5*h - 67, -4*h + 5*r - 35 = -5*h. Suppose -5 + h = 2*f. Sort 4, -94, f in descending order.
f, 4, -94
Suppose 17*g - 36 = -2. Suppose 10 = g*n - 5*y, 0*y + 2*y + 3 = n. Suppose 3*p = 2*v - 4, 4*p = -0*p + 4*v. Sort p, 13, n in descending order.
13, p, n
Let i be ((-12)/(-18))/((-4)/(-6)). Let z = 588 + -582. Sort i, z, 0, 5 in decreasing order.
z, 5, i, 0
Let r be 6 - 56/(35/5). Put 37/5, r, -1/3 in decreasing order.
37/5, -1/3, r
Let g be (-56)/35*(-175)/(-45). Let q = 6 + g. Let h = -5 + 9. Sort h, q, 0.3, 3 in descending order.
h, 3, 0.3, q
Suppose 235*t - 231*t = -r - 18, -5*t - 10 = -5*r. Put -1, t, 39 in decreasing order.
39, -1, t
Suppose 2*v = 3*g + 9, 3*g + 9 = -501*v + 498*v. Let k(x) = -x**2 - 14*x. Let y be k(-12). Put y, g, 0 in decreasing order.
y, 0, g
Let v(b) = -3*b**2 - 56*b - 261. Let r be v(-10). Sort r, -3, 0, -5, 23 in decreasing order.
23, 0, r, -3, -5
Suppose -4*p = -11 + 7, w - 5*p = 25. Suppose 6*m = 12*m + w. Put 4, m, -3/8, -1.7 in descending order.
4, -3/8, -1.7, m
Let g = -23 + 71/3. Let d = 213652/3 + -71218. Let t = -95/3 - -32. Sort g, d, 5/6, t in decreasing order.
5/6, g, t, d
Suppose -3*q + 6 = q + 3*i, 2*i - 4 = 0. Let k = 14527 + -14524. Sort -1, k, q, -6 in decreasing order.
k, q, -1, -6
Let w be (-7 + 4)/(6/(-1500)*-5). Let p = w + 149. Sort -3, p, -9, 3.
-9, -3, p, 3
Let a = 12665 - 12662. Sort a, -1, 0, 116 in decreasing order.
116, a, 0, -1
Let y be (9/30)/(51/510). Sort 5, -83, y, 1, -5 in descending order.
5, y, 1, -5, -83
Let y(q) = -32*q - 2. Let b be y(-1). Suppose b*k = 29*k. Put k, -11, 2 in decreasing order.
2, k, -11
Let s = -63 + 58.6. Let l = s - -4.4. Let k = -993/7 + 142. Sort k, l, -3 in descending order.
k, l, -3
Let n be 9*(-3)/(-27)*5 - (0 + 27). Put 17, -1, n in decreasing order.
17, -1, n
Let m = -0.01 + -0.39. Let f = 1735 - 1734.9. Put f, m, -0.1, 0.2 in decreasing order.
0.2, f, -0.1, m
Let x = 0 - 0.5. Let s = 1.8857 - 1.9657. Sort 22, x, s in increasing order.
x, s, 22
Let h be ((-1869)/189 + 10)*-36. Let m(z) = 2*z + 1. Let o be m(-6). Let k = -8 - o. Put h, 9, k in decreasing order.
9, k, h
Let a(b) = b**2 - 24*b - 76. Let o be a(27). Put 0, -5, 80, 3, o in decreasing order.
80, o, 3, 0, -5
Suppose 2*g + 16 = -4*h, h + 3*g - 8 = -17. Put 50, h, -16 in ascending order.
-16, h, 50
Let g(k) = k**2 - 2*k - 5. Let t be g(4). Suppose -o + 2*z = 5*z + 11, 0 = 2*o - t*z + 4. Let d be 1 + o*9/(-15). Put d, -3, 6 in ascending order.
-3, d, 6
Suppose 4*d + 13 = 59*f - 62*f, 2*f - 31 = 3*d. Let a be ((-3)/d)/(16/112). Sort -5, a, 5, -18 in descending order.
5, a, -5, -18
Let o be (-1 + (-8)/4)*2/(-3). Let l = o + 43. Suppose 5*n = -3*k - 2*k - l, -3*k + 1 = -4*n. Sort n, 4, 1.
n, 1, 4
Let f(t) = -4*t**3 - t**2 - t - 1. Let q be f(-2). Let d = 631 + -597. Let j = q - d. Put 1/6, j, 5 in decreasing order.
5, 1/6, j
Let v = 2.38 - -1.62. Let y = 160.6 + -160.2. Sort 2/65, v, 0.3, y in decreasing order.
v, y, 0.3, 2/65
Let k(s) = s**3 - 4*s**2 - 4*s - 3. Let t be k(5). Let h be (1/(-4))/(87/435). Sort t, -1/8, h in increasing order.
h, -1/8, t
Let j be -2*(338/104 - 15/6). Sort j, 23, -10, -4, 3/7 in decreasing order.
23, 3/7, j, -4, -10
Suppose 4*u + 2*f = 3*u, 4*f = 12. Let w(i) = i**2 + 5*i + 3. Let j be w(u). Put 5, j, 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
der.
-4, j, f
Let i(y) = 2*y + 13. Let g(p) = -2*p - 19. Let o be g(-7). Let n be i(o). Let r be (14/(-6) + 1)*-3. Put r, 1, n in decreasing order.
r, n, 1
Let p(i) = -2*i**2 - 60*i + 62. Let m be p(-31). Sort -2, -5, 22, m in increasing order.
-5, -2, m, 22
Let o = -5.7 + -75.3. Let m = 83 + o. Let p be 1*(28/2)/(-2). Sort p, 0.3, m in descending order.
m, 0.3, p
Suppose 0 = -44*d + 48*d - 4. Let q = 56 - 730/13. Sort -7, d, q in increasing order.
-7, q, d
Let f be ((-2)/(-5))/((-18)/(-135)). Sort f, -2, 2, -3 in ascending order.
-3, -2, 2, f
Let k = -2036 + 2033. Let z be 9/2 + 1/2. Suppose 7*w + z = 2*w. Put k, 12, w in descending order.
12, w, k
Let l = -53 + 54.5. Let c = l + -0.5. Let p(y) = 2*y - 7. Let n be p(9). Sort n, c, 0.4 in decreasing order.
n, c, 0.4
Suppose 0 = -2*m + 55 - 9. Let n = m - 25. Sort n, -4, 4, 2.
-4, n, 2, 4
Let q be ((-2)/10)/((-48)/(-60)). Put 1/5, 8, q in decreasing order.
8, 1/5, q
Let r = 770 - 774. Sort 6, 1, r, 2 in increasing order.
r, 1, 2, 6
Suppose -2230 = 15*f - 2335. Sort -6, f, -1/2, 0.2 in increasing order.
-6, -1/2, 0.2, f
Suppose 36 = 2*d + 42. Let t be (-2)/(-5)*(4 + 6). Sort 1/4, t, d in decreasing order.
t, 1/4, d
Let i = 473 + -478. Sort i, 104, 4 in decreasing order.
104, 4, i
Let u be (-10)/(-4 - 9/(-6)). Suppose 0 = -r + 5*n + 2, u*r + 4*n + 9 = -7. Put 2, r, 3, 15 in increasing order.
r, 2, 3, 15
Suppose -5*n + 2*f - 11 = -34, -5*f - 17 = n. Let l(t) = t**2 - 23*t - 77. Let w be l(26). Sort n, -1, w.
-1, w, n
Let s be (-1*(-1)/(-4))/(285/(-684)). Sort 0.378, s, 2, -0.2 in descending order.
2, s, 0.378, -0.2
Suppose -4*m = 3*c + 22, -6*m - 10 = -8*m. Suppose -j + 11 = 14. Sort c, -5, -1, j in decreasing order.
-1, j, -5, c
Let n be (-2)/(15/25*4/(-6)). Suppose 2*o = 6*o - n*o. Put 4, -1, o, -3 in descending order.
4, o, -1, -3
Suppose 38*h = 36*h - 2. Let i be 8/12 - 2/3. Put -5, i, 2, h in increasing order.
-5, h, i, 2
Let v be ((-24)/10)/((-3)/10). Let d = 6 - v. Let j be (3*30/(-126))/((-2)/(-14)). Sort -1, d, j in descending order.
-1, d, j
Let c = 5 + -6. Let o = -195 + 198. Sort -4, c, -3, o.
-4, -3, c, o
Suppose -5*z + 390 = 370. Sort z, -3, 2/83.
-3, 2/83, z
Let o = 1 + -14. Let j(d) = d**3 + 7*d**2 + 11*d + 8. Let z be j(-4). Let p = o + z. Put 5, p, -4 in increasing order.
-4, p, 5
Suppose -3*j - 9 = 5*l + 21, l + 28 = -5*j. Sort 7, -12, l, -2 in decreasing order.
7, -2, l, -12
Let s be -2*((-40)/(-12) - 3). Put -359, -5, -0.5, s in descending order.
-0.5, s, -5, -359
Let g = -765 + 766. Sort -3/5, g, 3 in decreasing order.
3, g, -3/5
Let w = 0.4 + 0.6. Let l = -5334 - -5333. Put -0.2, l, 0.5, w in ascending order.
l, -0.2, 0.5, w
Suppose -19*q = -26*q - 7. Sort q, -1/41, 0, 4 in increasing order.
q, -1/41, 0, 4
Let o be (-1)/(13/(-41)) - 3. Let u = 557 + -560. Sort 1, u, o, 2 in descending order.
2, 1, o, u
Suppose 7 = -3*a - 2*q - 0, 2*q + 8 = -2*a. Let o(i) = -7*i**3 - 1. Let r be o(-1). Let f = r + -10. Put 2, a, f in ascending order.
f, a, 2
Let w(n) = -20*n + 942. Let s be w(50). Sort -0.5, s, -1/7 in decreasing order.
-1/7, -0.5, s
Suppose -4*g = 5*v - 567, 4*v + 169 = 3*g - 295. Sort g, 5, 1.
1, 5, g
Let n = -23.954 - 0.046. Let i = n + 27. Sort -0.5, 2/3, i in decreasing order.
i, 2/3, -0.5
Let g be 5 - (1 + 0 + 3). Let v be g - 6*4/(-8). Suppose v*o - 2*w + 3*w = 0, -2*o - 2*w - 6 = 0. Put 4, o, -2 in ascending order.
-2, o, 4
Let h be 123/21 + (-426)/497. Put 0, 3, h, 691 in ascending order.
0, 3, h, 691
Let n be 1/4 + (-87)/12. Let m be 30/795 - (-2484)/(-1219). Sort -3, m, n.
n, -3, m
Suppose -2*n + 0*n + 4 = 0. Let v be 49/147*(-1 + 10). Suppose v*q - n = -14. Sort 9, 2/7, q in decreasing order.
9, 2/7, q
Let g = -282 + 281. Let a(u) = u**2 + 7*u - 3. Let n be a(-6). Sort n, -3, g in decreasing order.
g, -3, n
Suppose 2*w - 3*w + 3 = 0. Let h = -26 + 24.7. Let t = -1.4 - h. Sort 0.3, t, w in decreasing order.
w, 0.3, t
Let m = -44 - -43.942. Let y = m - 0.042. Let g be -3*((-2)/4 - -1). Put g, -5, y in descending order.
y, g, -5
Let x(s) = -2*s + 7. Let o be x(11). Put o, -4, 3, -3 in descending order.
3, -3, -4, o
Let r = 87 + -85. Let d be 0/1 - r - 3. Put d, 4, 0, -1 in ascending order.
d, -1, 0, 4
Let r = -166.2 + 160.2. Put -1/19, -1, 0.1, r in descending order.
0.1, -1/19, -1, r
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7)
12
What is the value of 33 - ((-20 - -9) + -1)?
45
Calculate 196 + -183 + 8 + -3.
18
What is the value of -480 - -399 - (0 - 170)?
89
What is (19 - 0 - 0) + -60 + -102 + 150?
7
22 + -22 + -62 + 35
-27
-76 - (-24 - (-22 + 0 - (2 + 8 + -20)))
-64
Calculate 2 + (-9 - (-3 + -6) - -3) + -26 + -2.
-23
-51 + -10 - ((0 - 12) + (-153 - -156))
-52
What is -65 + (201 - (4 + 80))?
52
Calculate (3 - 10 - (55 - 86)) + (-2 - 5).
17
What is the value of -10 + 4 + (-17 - -41) - -43?
61
What is (-98 + 125 - (19 + -3)) + -3 + 40?
48
Calculate 13 - 1 - ((-38 - -63 - (0 + 4)) + 18).
-27
Calculate (-33 - 1) + -509 + 522 - (9 + -2).
-28
What is the value of 25 + -43 + (7 - 7) - 1?
-19
Evaluate 43 + (-80 + -118 - -106).
-49
Calculate 28 - (5 - (133 - 261)).
-105
Calculate (250 + -195 - 29) + (1 - -42).
69
Calculate 54 - ((228 - 258) + (-2 - -21)).
65
Calculate (-19 - -1 - (-744 + 704)) + -76.
-54
Evaluate -5 + 0 + -7 - (4 + 32 - 36).
-12
What is -13 + 19 - (-5 + -9 + -9)?
29
What is (21 - (-1 + 0)) + (-345 - -362)?
39
What is 11 + -1 + (-168 - -137) + 3?
-18
Evaluate (19 - (0 + 28 + 573 + -566)) + 13 + 0.
-3
What is the value of -32 + -27 + 25 + -11 + -3 + 2?
-46
-11 + (-5 - -11) - (871 - 792)
-84
What is (17 - (9 - -111)) + 67?
-36
What is -413 + 310 - (23 + -141)?
15
What is the value of 11 - -2 - (-11 - (-73 - -88))?
39
Calculate -46 + -1 + (31 - 0 - (191 + -154)).
-53
Calculate -2 - -21 - (610 - 588) - -29.
26
Calculate -39 - (1 + 62 + -28 - 62).
-12
What is 4 - 0 - (30 + -2) - ((-9 - 45) + 42)?
-12
What is 8 + (27 - (30 + -17) - 18) + -47 + 0?
-43
Calculate (2 - 1) + 1 + 2 + -15 + -27.
-38
What is the value of -6 + 16 - -7 - 11 - (-3 + -7)?
16
What is the value of -1 + 30 - (-10 - -22)?
17
Evaluate -4 + -66 - -22 - -23 - -53.
28
Calculate -188 + 321 - (-52 - -98).
87
-3 - (-20 + -2 + 4) - (-110 + 160)
-35
Calculate -7 + 1 + (8 - -7) + (33 - 50).
-8
Calculate 61 + 30 + (-118 - -55).
28
Evaluate -64 + (154 - (-50 + 78)).
62
What is -3335 - -3241 - (-1 - (-2 - 4))?
-99
Evaluate -51 + 33 + (-10 - 3) + 5 + -13.
-39
(93 - 53 - 109) + 74
5
What is (-7 - (-3 - -2)) + 5 + -16 + 31?
14
What is -108 - (76 + 82 + -164)?
-102
What is the value of 166 + -196 + (5 - (-8 + 5))?
-22
-116 + 89 + (1 - -2) + -45
-69
What is -25 + 0 + 10 + 17 - (28 + 2)?
-28
Evaluate 5 + (-8 - -4) + (-938 - -853).
-84
3 + 21 - 10 - -31 - (-83 - -79)
49
What is 2 + -2 + -7 - (-157 - (-303 + 170))?
17
Evaluate (-202 + 123 - (5 - -1)) + -11 + -11 + 2.
-105
Calculate 7 - (-275 + 288 + 35 + 1 + -2).
-40
What is -14 + (12 - (-67 + 16)) + 7 + 8 + -1?
63
Calculate -7 + 28 + 423 + -402.
42
What is (19 - (-25 + -37 + 134)) + (0 - 0)?
-53
Evaluate 6 - (3 - -4 - 0 - (-307 - -316)).
8
-9 + (0 - (-2 - 3)) + -61 - (-287 + 276)
-54
What is -32 - ((19 - 96) + 40)?
5
Calculate 59 + -74 + 5 - -36.
26
What is -2 + (84 - 96) - (-28 + 2)?
12
Calculate (-36223 - -36234) + (-7 - -1 - -1).
6
Calculate 82 - (5 + (19 - 34) + 13).
79
What is the value of 35 + -105 + -21 + (1 - (-2 + 6))?
-94
What is the value of -5 - 19 - -16 - (-2 - -13)?
-19
-1 + -55 + (190 - 291 - -120)
-37
(2 + 0 - (-2 + -2)) + 1966 + -1981 + -5
-14
What is the value of 21 + 6 + -4 - (-40 - -71) - (-95 - 1)?
88
Evaluate (-11 + -1 + -23 - 5) + (-15 - -26).
-29
Evaluate (-2 - (-5 + 5)) + (-7 - -6) + 10.
7
What is the value of 17 + (-20 + -10 - (-10 + -2)) - 72?
-73
What is (-2 - -3 - (28 + (5 - 22) + -17)) + -5?
2
Calculate (-5 + 7 - -4) + (-28 - (63 - 91)).
6
16 + (3 - 9) + 2 + -2 + (-28 - -38)
20
Calculate 0 - (-22 + 17 - (2 + -14)).
-7
What is (-69 - (-4 + -50)) + (20 - (0 + 2))?
3
Calculate (39 - 122 - (-76 - 0)) + 0 + 77 + 1.
71
What is 51 - (1 - (-35 + -43))?
-28
What is the value of (0 - (-1 + 1) - 17) + -39 + -122 + 160?
-18
117 + (-5 - ((-11 - -20) + 30))
73
Calculate -31 - ((-46 - -1) + -35).
49
(5 - 0) + -16 + -10 + -6 - -4
-23
1 - 3 - -38 - (-18 + (6 - -10))
38
What is 9 + -10 + 4 + -4 - -4?
3
Calculate 2 + (-27 + 3 - (13 + 2 - (-4 + 8))).
-33
Calculate -1 + (-35 - (-14 - (4 - 16 - -9))).
-25
What is 76 - (-70 - -53) - 51?
42
What is the value of -24385 + 24329 + -80 + 0?
-136
15 - (7 - ((5 - -4) + -53))
-36
Calculate -1 - -46 - (-131 + 140).
36
Calculate 17 + (-5 - (19 + (0 - 6))) + 11.
10
What is the value of (-16 + 9 - -13) + 6 + 14 + -21 - 10?
-5
What is -8 + (-48 - 7) + (-7 - -2 - -7)?
-61
(13 - (3 - 3) - -20) + -43
-10
Evaluate (138 - 126) + -3 + (26 - 4).
31
What is the value of 74 + 48 + (-34 - 72)?
16
Calculate -3 + (-12 - 0) + 139 + (-22
|
{
"pile_set_name": "DM Mathematics"
}
|
rs picked without replacement from cbqccqccty. What is prob of sequence bt?
1/90
Calculate prob of sequence cg when two letters picked without replacement from cjfjgccjfcffjff.
2/105
Three letters picked without replacement from {q: 4, t: 2, u: 2, i: 2, m: 2, g: 2}. Give prob of sequence igt.
1/273
Calculate prob of sequence mrr when three letters picked without replacement from mmbmrmfrfrfmmmmbrm.
3/136
What is prob of sequence tt when two letters picked without replacement from {p: 7, a: 9, h: 1, t: 2}?
1/171
Three letters picked without replacement from kmiomyyiyryr. Give prob of sequence iiy.
1/165
Two letters picked without replacement from {y: 2, b: 6}. Give prob of sequence by.
3/14
Four letters picked without replacement from hhceyrec. What is prob of sequence ehrh?
1/420
What is prob of sequence wn when two letters picked without replacement from {x: 1, w: 1, n: 2, l: 1, b: 1, u: 1}?
1/21
Three letters picked without replacement from {p: 6, i: 6}. What is prob of sequence ipp?
3/22
Calculate prob of sequence vw when two letters picked without replacement from {v: 2, w: 4, t: 1}.
4/21
Two letters picked without replacement from {w: 3, m: 4, x: 1}. What is prob of sequence wm?
3/14
What is prob of sequence tmm when three letters picked without replacement from tjmjmwc?
1/105
What is prob of sequence dd when two letters picked without replacement from yhdhyydyh?
1/36
Two letters picked without replacement from arppre. Give prob of sequence rp.
2/15
Four letters picked without replacement from orrjrrrjkrrrjjjo. Give prob of sequence jook.
1/4368
Three letters picked without replacement from {u: 9, z: 5}. Give prob of sequence uzu.
15/91
What is prob of sequence zrr when three letters picked without replacement from {r: 9, z: 2}?
8/55
Four letters picked without replacement from plfrrrfrprralar. What is prob of sequence llpf?
1/4095
What is prob of sequence srj when three letters picked without replacement from {z: 6, s: 1, j: 7, r: 1}?
1/390
What is prob of sequence vkv when three letters picked without replacement from wwxwvkkxwwvkbkkwx?
1/408
Three letters picked without replacement from hkhpphphphpkpppphhpp. What is prob of sequence hhp?
77/1140
Calculate prob of sequence mw when two letters picked without replacement from wmwmikkmkkm.
4/55
What is prob of sequence rg when two letters picked without replacement from {t: 1, r: 1, g: 2}?
1/6
Two letters picked without replacement from {l: 2, t: 6, m: 2, c: 1, n: 1}. Give prob of sequence nm.
1/66
What is prob of sequence qn when two letters picked without replacement from {t: 2, q: 1, n: 1, s: 1, p: 1, o: 1}?
1/42
Calculate prob of sequence dwkd when four letters picked without replacement from wdkdk.
1/30
Four letters picked without replacement from {v: 2, o: 3, m: 1, n: 5, b: 5}. What is prob of sequence nmob?
5/2912
Calculate prob of sequence err when three letters picked without replacement from {i: 1, e: 2, u: 2, z: 1, r: 1}.
0
Calculate prob of sequence lvfl when four letters picked without replacement from vlvfl.
1/30
Four letters picked without replacement from {v: 5, h: 1, z: 3, b: 4}. What is prob of sequence bzbv?
3/286
Three letters picked without replacement from {g: 2, c: 3, v: 2, j: 4}. Give prob of sequence gvg.
2/495
What is prob of sequence vziz when four letters picked without replacement from {z: 5, i: 8, v: 4}?
4/357
What is prob of sequence dad when three letters picked without replacement from {a: 5, d: 2, n: 4}?
1/99
Four letters picked without replacement from kpapaadvavamkkpavkd. What is prob of sequence dkkk?
1/1938
Two letters picked without replacement from {g: 1, d: 1, a: 1, k: 1, e: 1}. Give prob of sequence dg.
1/20
What is prob of sequence sfc when three letters picked without replacement from ccfsczzfs?
1/42
Three letters picked without replacement from ahssafaahf. Give prob of sequence hhs.
1/180
Two letters picked without replacement from {l: 1, m: 5, b: 1, x: 1, f: 1}. What is prob of sequence lf?
1/72
What is prob of sequence qq when two letters picked without replacement from lqlqlqqqqlllqllqlqq?
5/19
Four letters picked without replacement from ppppppppopppp. Give prob of sequence pppo.
1/13
What is prob of sequence kzv when three letters picked without replacement from kkzkvkkkkzkzkzzkkzkz?
7/570
Three letters picked without replacement from {n: 2, f: 2, i: 8, z: 1, e: 1}. Give prob of sequence fnf.
1/546
Two letters picked without replacement from {a: 7, b: 2, j: 4, e: 1, x: 1, q: 2}. Give prob of sequence xb.
1/136
What is prob of sequence hhdd when four letters picked without replacement from {h: 5, y: 1, b: 6, t: 3, d: 2}?
1/1428
Two letters picked without replacement from cckcckkkckkkc. Give prob of sequence kk.
7/26
Calculate prob of sequence nnnn when four letters picked without replacement from nnnnxxnx.
1/14
What is prob of sequence qr when two letters picked without replacement from qroo?
1/12
Calculate prob of sequence yst when three letters picked without replacement from yhhyhthhshshh.
1/429
What is prob of sequence lv when two letters picked without replacement from ttaalaaaxttavtltt?
1/136
Four letters picked without replacement from rbratbttbtrbtbbbbb. What is prob of sequence rbbr?
1/170
Calculate prob of sequence xgxq when four letters picked without replacement from qgqxx.
1/30
Four letters picked without replacement from cccyccyy. What is prob of sequence ccyc?
3/28
What is prob of sequence hp when two letters picked without replacement from {h: 5, p: 11}?
11/48
Four letters picked without replacement from {v: 2, p: 9}. What is prob of sequence pvpv?
1/55
Three letters picked without replacement from {l: 2, b: 1, j: 4, z: 2, g: 6}. What is prob of sequence jjl?
4/455
Four letters picked without replacement from {r: 8, m: 2, b: 5}. What is prob of sequence bbbr?
4/273
Two letters picked without replacement from vvqqqqv. What is prob of sequence qq?
2/7
What is prob of sequence ucuc when four letters picked without replacement from cccccucccccuccuccc?
7/408
Two letters picked without replacement from mamyd. Give prob of sequence da.
1/20
Four letters picked without replacement from {l: 8, t: 4, p: 2}. What is prob of sequence lptp?
8/3003
What is prob of sequence sf when two letters picked without replacement from {s: 2, n: 2, t: 2, f: 3}?
1/12
Calculate prob of sequence iirr when four letters picked without replacement from rrirxxxiirriix.
50/3003
Calculate prob of sequence bnn when three letters picked without replacement from {w: 7, o: 3, n: 3, b: 1}.
1/364
Two letters picked without replacement from mmmmmmmttm. Give prob of sequence tm.
8/45
Calculate prob of sequence zvmz when four letters picked without replacement from {o: 6, j: 1, v: 3, z: 3, m: 2}.
1/910
Two letters picked without replacement from {
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by j.
32
Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42/4)/(-4 + h/10).
4
Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)?
0
Suppose -1499 - 767 = -11*i. Let u = i - 199. What is the remainder when 77 is divided by u?
0
Suppose -2*v + 482 = r, 38*v + 1958 = 4*r + 36*v. Calculate the remainder when r is divided by 45.
38
Calculate the remainder when 5827 is divided by (48/(-160))/((-7)/4690).
199
Suppose 2*u = -5*s + 6*s + 213, 2*s = u - 99. Let b = -100 + u. Calculate the remainder when 33 is divided by b.
6
Suppose -4*b + 4*z = -86632, 3*b + 5*z = 23504 + 41478. What is the remainder when b is divided by 60?
59
Suppose 0 = 2*o - 51 - 23. Suppose 0 = 193*g - 59 - 12679. What is the remainder when g is divided by o?
29
Suppose -24*x = -31*x + 2282. Let f = -225 + x. Let o = 40 + -23. What is the remainder when f is divided by o?
16
Suppose 3*p = -50 + 323. What is the remainder when p is divided by (4/15)/2 - (-57036)/2205?
13
Let d(v) = v**3 + 15*v**2 + 5*v + 77. Let y be d(-15). Suppose 6*p - p + 79 = y*o, 0 = p - 5. Let m = 93 + -66. What is the remainder when o is divided by m?
25
Let s(o) = -o**3 - 13*o**2 - 78*o - 238. Calculate the remainder when 412 is divided by s(-8).
16
Calculate the remainder when (62 - (-11 + 15)) + 16/(-2) is divided by 24.
2
Let j = 21 + -46. Let p = -22 - j. What is the remainder when (9/p - -6) + -3 is divided by 2?
0
Let g(d) = 1198*d + 6880. Calculate the remainder when g(-5) is divided by 90.
80
Let i be ((-3)/1)/((12/(-200))/(-1)). Let b = 123 + i. What is the remainder when b is divided by 15?
13
Calculate the remainder when -3 + 78/18 - (-596)/3 is divided by 51.
47
Let z be (-21 + 15)*(-1)/(-2). Calculate the remainder when (-1 - z)*(-76)/(-8) is divided by 7.
5
Let a(d) = -d**2 + 14*d - 11. Let i(m) = -m + 41. Let f be i(35). What is the remainder when 102 is divided by a(f)?
28
Suppose z = -a + 1536, -a - 3*z + 1112 = -414. Calculate the remainder when a is divided by 172.
165
Calculate the remainder when 260 is divided by (234/42)/(-9*9/(-567)).
26
Calculate the remainder when -3 - (-3)/2 - 1828/(-8) is divided by (-25)/3*(-246)/410.
2
Suppose 313 = -3*n + r, -r = -0*n - 2*n - 208. What is the remainder when (416/40)/((-6)/n) is divided by 31?
27
Let m(a) = -15*a + 137. Let y be m(7). Suppose 5*q - y = q. What is the remainder when 47 is divided by q?
7
Let r be 4 + 14/(-10) + (-2)/(-5). Calculate the remainder when 1/(r/141)*(4 + -3) is divided by 13.
8
Let j be (5/10)/(1/406). Suppose -q - j - 20 = -3*c, -2*c = q - 147. What is the remainder when c is divided by 27?
20
Let i be (2 + 1)*(-3 + 51). Suppose 8*x + i = 20*x. What is the remainder when x is divided by 7?
5
Let g(b) = 2*b**3 - 4*b**2 + 2*b - 3. Let c be g(3). Let y = c - 19. Suppose 0 = 2*n + y*n - 396. What is the remainder when n is divided by 17?
14
Let l be 2/14 + (-135)/(-35) + -10. Let r(b) = -2*b**2 - 8*b + 10*b**2 - 9*b**2 + 11. Calculate the remainder when r(l) is divided by 8.
7
Let y(g) = 14*g**2 + 88*g - 113. Calculate the remainder when y(13) is divided by 50.
47
What is the remainder when 498 is divided by 3 + 0 + (-79)/((80/(-10))/8)?
6
Suppose 2*z - 4*r + 168 = 3490, 3*z - 5023 = -4*r. Calculate the remainder when z is divided by 153.
139
Suppose 20*p - 41*p + 149*p - 1214720 = 0. What is the remainder when p is divided by 12?
10
Let t(r) = 3*r**2 - 11*r - 23. What is the remainder when t(10) is divided by (-10)/(2/(2 + -3))?
2
Suppose 30*a = 742 + 398. What is the remainder when 2233 is divided by a?
29
Let f be 11/3 + ((-5)/3 - -2). Suppose -f*l + 4*g = 5*g - 161, -2*l - 4*g = -84. What is the remainder when l is divided by 10 - (-2 + -1 + 2)?
7
Suppose -116*g + 198778 - 99378 + 322840 = 0. Calculate the remainder when g is divided by 35.
0
Let o be 437 - -1 - (2 - -1). Let y(v) = -v**3 - 5*v**2 - 316*v - 1231. What is the remainder when (-4)/(-6) + o/9 is divided by y(-4)?
15
Suppose -q = 4*x + 2*q - 38, 0 = -7*x + 4*q + 122. Calculate the remainder when 1130 is divided by x.
10
Let i(a) = -10*a - 136. Suppose s - 3*p - p - 48 = 0, -2*p = 2*s - 126. Calculate the remainder when s is divided by i(-16).
12
Suppose -139*i + 190 = -120*i. What is the remainder when ((-67)/(-3))/(7/21) is divided by i?
7
Suppose 709 - 419 = 29*v. What is the remainder when 119 is divided by v?
9
Let k be 333/117 + 2/13 + -3. Suppose k = 79*y - 70*y - 351. Calculate the remainder when y is divided by 14.
11
Let j(f) = 46*f**2 + 10*f - 44. Let s be j(11). Calculate the remainder when s/(-22)*(-1)/2 is divided by 27 - 2*(-2)/(-4).
24
Suppose 0 = -45*l + 39*l + 390. Let j = l + -56. Let x = 31 + -14. Calculate the remainder when x is divided by j.
8
Let i = -8131 - -8158. What is the remainder when 610 is divided by i?
16
Let r = 8 + 8. What is the remainder when 4 + 1 + 3 + (2 - -15 - -31) is divided by r?
8
Suppose 1267 - 8377 - 3858 = -6*s. Calculate the remainder when s is divided by 31.
30
Let q(k) = -7*k**2 + 42*k - 12. What is the remainder when 6332 is divided by q(4)?
40
Let v = -2635 + 2701. What is the remainder when 1249 is divided by v?
61
Suppose 0 = 10*r - 5*r + 155. Let n = r + 34. Suppose 0 = -n*a - 4*d + 29, a = 4*d - 2*d + 13. Calculate the remainder when 32 is divided by a.
10
Let y be 68 + (-3 - 12)/3. Suppose y*q - 68*q = -305
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Work out -0.5 * 570204.
-285102
Product of 1 and 23483603.
23483603
Calculate 0.06*739403.
44364.18
Product of 1 and 142.84302.
142.84302
What is the product of 6 and 93.82885?
562.9731
1014516 times 0
0
Work out 13124 * -550.43.
-7223843.32
Product of 0.57 and 11.09064.
6.3216648
0.08 * -0.1151584
-0.009212672
Calculate -733.5546*0.9.
-660.19914
Work out 0.3 * -86031.
-25809.3
Multiply 5.8 and 1441.8.
8362.44
What is 0.02272 times 1182?
26.85504
What is 7250005 times -5?
-36250025
What is 2 times 3150765?
6301530
-15991458*0.5
-7995729
What is -482078686 times 0.2?
-96415737.2
What is -8 times -3.935372?
31.482976
-627*1.52144
-953.94288
What is the product of 0.2 and 17458756?
3491751.2
Work out 46.31419 * -10.
-463.1419
-0.49 times -11671.1
5718.839
Product of 4963049 and 70.
347413430
9445*-1.116
-10540.62
Work out -1.8317 * 0.03415.
-0.062552555
4389 * 1880
8251320
Multiply 7.8514 and 94.
738.0316
Multiply -11 and 196371.25.
-2160083.75
Calculate 3.831*-2.13348.
-8.17336188
Calculate 6*1354199.2.
8125195.2
Product of -0.03148 and 34.947.
-1.10013156
What is the product of -165.85934 and 4?
-663.43736
Calculate 1.339*0.13855.
0.18551845
Work out 46703095 * 4.
186812380
Calculate -23745*134.3.
-3188953.5
Work out 21867 * -2007.
-43887069
What is the product of -15.792 and -973?
15365.616
0.183*0.413368
0.075646344
-190480*0.0236
-4495.328
What is the product of 6 and 30129829?
180778974
What is the product of 46.29 and 59941?
2774668.89
0.377895 * -141
-53.283195
Product of 112.0656 and 9.
1008.5904
4.59 * -652575
-2995319.25
Calculate 3855.515*0.4.
1542.206
Multiply 0.045 and -0.4365913.
-0.0196466085
Multiply -685.114 and 0.11.
-75.36254
-1066.1872 times 0.5
-533.0936
0.1007 * 1.75692
0.176921844
Product of -11 and 33283820.
-366122020
What is -1005656 times -33.1?
33287213.6
817.6*467
381819.2
Multiply 0.00465 and -17.
-0.07905
What is 2026 times 3.426?
6941.076
-33 * -0.630646
20.811318
9.667*-32689
-316004.563
What is the product of 1394899 and 37?
51611263
Product of 219894390 and 0.02.
4397887.8
Multiply 5006.59 and -2.938.
-14709.36142
Multiply -8009 and -38.8.
310749.2
Work out -87702.4 * -31.
2718774.4
Work out 69010964 * 4.
276043856
Multiply 2.56469 and -153.
-392.39757
Multiply -8.75 and -30477.
266673.75
0.259249*-597
-154.771653
Work out 399209643 * 3.
1197628929
Multiply 8050 and -23.307.
-187621.35
Multiply -0.16 and -1.872953.
0.29967248
Work out -684 * 0.331.
-226.404
-13.861 times -8395
116363.095
-0.04 times -2682493
107299.72
-20.4 times -51631
1053272.4
Multiply 0.2 and -24200.8.
-4840.16
-275 * -11028
3032700
What is the product of -44355 and 20938?
-928704990
What is 0.07017 times -1.4?
-0.098238
28 * -8483.5
-237538
-21379 * 396
-8466084
What is the product of 102 and 1444912?
147381024
-34007873*0
0
Work out -0.5006 * -36015.
18029.109
What is the product of -7897977 and -0.7?
5528583.9
-31157358 * 5
-155786790
-0.0352495*-6
0.211497
Work out 2.5 * 5410.8.
13527
9*-28687159
-258184431
-89101 times -8.3
739538.3
Multiply 0.0203 and 9823.
199.4069
Work out 0.3 * -0.01300191.
-0.003900573
Product of -107 and 9733.
-1041431
-0.6 * -1932666
1159599.6
Multiply -4.425 and -82.44.
364.797
-270 * -463433
125126910
Work out 387943 * 0.17.
65950.31
What is the product of 2770717 and 3.17?
8783172.89
3 times 2554
7662
2 * -13276767
-26553534
Work out -0.5 * 595122.
-297561
Work out -13.274 * -0.814.
10.805036
505 times 0.05272
26.6236
What is the product of -1458 and -64.08?
93428.64
-604561 * 28
-16927708
Multiply -0.7 and 36285909.
-25400136.3
Calculate -1*-13606664.
13606664
Product of 111.77 and 274.
30624.98
Calculate -28*-1540834.
43143352
What is the product of -1697330 and 0.07?
-118813.1
Work out -70 * 1007047.
-70493290
Calculate -124304*1040.
-129276160
What is the product of -0.16 and -207.4481?
33.191696
What is 0.2941 times -108.98?
-32.051018
-9950986 times -25
248774650
What is the product of 0.04379 and 0.387?
0.01694673
What is the product of 13610.9 and -142?
-1932747.8
Work out 562 * -0.0245.
-13.769
What is the product of 34 and -1263984?
-42975456
Calculate -0.051867*-0.75.
0.03890025
Multiply -0.13 and 0.03616479.
-0.0047014227
What is 232 times 2505.817?
581349.544
Product of -3 and -1514612.
4543836
Multiply -6.51 and 1000.3.
-6511.953
What is -3 times -69118733?
207356199
What is the product of -27.2 and 76.13?
-2070.736
Product of -399.07 and 0.533.
-212.70431
What is the product of -1.2497 and -1042?
1302.18
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + l. Let g(z) = 3*p(z) + u(z). Let r = -2559 + 2563. What is the units digit of g(r)?
3
Let m(k) = -1042*k - 1. Let b be m(-1). Suppose -1110 = -3*r + b. What is the tens digit of r?
1
Let s be (78/(-5))/(6/(-15)). Suppose 28675 = s*k - 2*k. What is the tens digit of k?
7
Let g(s) be the first derivative of -s**2/2 - 15*s + 29. Let k be g(-18). What is the units digit of ((-55)/(-15) - k)*21?
4
Suppose 98760 = 117*a - 105*a. What is the units digit of a?
0
Suppose 17 = 60*p - 43. Suppose 2*a - 12 = m - 5*m, 5*m = -a + 21. What is the tens digit of p + 75 - (m - (-2 + 4))?
7
Suppose -2*o + 42 = -3*f - 156, f = -2. Let g = o + 86. What is the tens digit of g?
8
Let o(p) = 12*p**2 - 18*p + 97. Let m be o(7). Let b = -232 + m. What is the tens digit of b?
2
Let y = 2567 + 4442. What is the tens digit of y?
0
Let t(b) = 8*b + 5. Let y be t(7). Let k = y + 123. What is the tens digit of k?
8
Suppose 5*h + 153 - 1508 = 0. Let m = 3200 - 3198. Suppose h = m*l + 3*q, -4*q - 134 = -l - 5*q. What is the hundreds digit of l?
1
Let l(m) be the second derivative of 0 + 1/2*m**3 + 17*m - 4*m**2. What is the units digit of l(6)?
0
Let y(f) = f**2 + 9 + 1 - 2 + 5*f. Let g be y(-4). Suppose -2*p + 5*u = -57, g*u = 2*p + p - 75. What is the units digit of p?
1
Let x be (8 + (-6 - 4))*-1*2. Suppose -2520 = -x*t + 364. What is the hundreds digit of t?
7
Let s = -164 - -168. Suppose -s*d + 1323 = -d. What is the hundreds digit of d?
4
What is the units digit of (-1*147)/(12*(-21)/9072)?
2
Let z = 32 - -80. Let t = z - -354. What is the tens digit of t?
6
Let h(r) = -236*r + 854. What is the hundreds digit of h(-17)?
8
Let o be (4 - 42/9)/((-4)/6). Let z = o - 1. Suppose z = -2*l - l - 3*d + 81, 0 = 5*d - 15. What is the units digit of l?
4
Let y(g) = 89*g**2 - 87*g + 422. What is the units digit of y(11)?
4
Suppose -m + 59315 = 7*m + 21099. What is the tens digit of m?
7
Let y(h) = h**3 + 6*h**2 - 7*h + 3. Let x be y(-7). Suppose 21*p - 22 = 230. What is the units digit of -2*214*-1*x/p?
7
Let j(v) = -2*v**2 - 59*v - 19. Let u be j(-29). Suppose -u*m + 15*m - 3976 = -3*l, -5*l = -5*m - 6640. What is the thousands digit of l?
1
Let d(h) = h**2 + 1020*h - 510*h + 10 - 2 - 507*h. Let g be (-8)/12 + 74/(-6). What is the hundreds digit of d(g)?
1
Let w(b) = -b**3 + 10*b**2 - 18*b + 16. Let f be w(8). Suppose 5*c + 3 = -2, -o + 5*c + 473 = f. Suppose 21*g + o = 25*g. What is the tens digit of g?
1
Let z(n) = -2*n**3 + 145*n**2 - 141*n - 9. What is the units digit of z(71)?
3
Let n(l) = l**3 - 5*l**2 + 3*l + 9. Let v be n(4). Suppose 532 = 2*j + 2*t, -v*j + 1309 = -5*t + 3*t. What is the tens digit of j?
6
Let f(a) = a**2 + 5*a - 14. Let o = -39 + 44. Let b be (4/o)/(4/(-60)). What is the units digit of f(b)?
0
What is the units digit of -13 - -1869 - 8 - 13?
5
Let u = 6193 + -2667. What is the hundreds digit of u?
5
Suppose 0 = q - 4*q + 12. Let k(v) = v**3 + 2*v**2 + 2*v. Let p(c) = 6*c**3 + 11*c**2 + 10*c - 1. Let d(l) = -11*k(l) + 2*p(l). What is the units digit of d(q)?
4
Let q = -3864 - -10452. What is the units digit of q?
8
Suppose 3*b - c - 17 + 0 = 0, -3*c + 5 = 5*b. Suppose 8*j + 2*i = 4*j + 1738, b*j - 1729 = -5*i. What is the hundreds digit of j?
4
Let g(h) = 7*h - 35. Let l be g(11). Suppose -45*z + 252 = -l*z. Suppose -2*u + z = u. What is the tens digit of u?
2
Suppose 2*s - 240 = 346. Suppose 5*y = v + 4*y + 180, y - 1060 = 6*v. Let p = s + v. What is the units digit of p?
7
Suppose 38*j = -33*j + 522986. What is the units digit of j?
6
Let w(r) = -2*r + 47. Let p be w(22). Let g be p + -2 + 1 + -2. What is the tens digit of g + -1 + 110/2?
5
Let y(v) be the first derivative of -2 + 12 + 15*v + 3 - 4*v**2 - 2. What is the units digit of y(-10)?
5
Let s(w) be the first derivative of -w**2/2 + 6*w + 3. Let p be s(6). Suppose -2*q + 8 = -p*q. What is the units digit of q?
4
What is the hundreds digit of 441096/87 + 160/(-2320)?
0
Let y(s) = 347 + 294 + 7*s - 678. What is the units digit of y(8)?
9
Let s = -3047 + 10649. What is the hundreds digit of s?
6
Let d be ((-24)/60)/(-1*(-2)/(-30)). What is the tens digit of (-36)/(-16)*160/d?
6
Suppose 2*x - x - 4*g = 24715, 2*x + 3*g = 49397. What is the tens digit of x?
0
Suppose -4*z + 6 = -2*j, 5*z + 30*j - 33*j - 7 = 0. What is the tens digit of 564 + 8 + (-2)/4*z?
7
Suppose -8*h + 11*h + 26128 = 4*w, -3*w - 5*h + 19567 = 0. What is the hundreds digit of w?
5
Let r be ((-20)/(-15))/(2/3). Suppose 0 = 3*d + 2*z - 26, 0*z = -d - 2*z + 6. Suppose -r*g + 1656 = d*g. What is the tens digit of g?
3
Let b(t) = -t**3 + 7*t**2 + 8*t - 12. Let s be b(8). What is the tens digit of (-27850)/(-30) + (-8)/s?
2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
be w(5). Let x(f) = -f**2 + 7*f + 2. Let b be x(m). Solve l - 4*n = 11, 0*l - n = 5*l + b for l.
-1
Suppose -4*s = -4 + 16, -4*o - 5*s = -45. Let h be 5 + 2 - (4 + -2). Solve 2*m - h*f - 20 = -3*m, -o = 5*m + 2*f for m.
-1
Let k(y) = y**3 - 17*y**2 + 42*y + 8. Let p be k(14). Solve -5*b - 3 = 5*a - p, 0 = -3*a + 5*b + 11 for a.
2
Let d = 511 + -511. Solve -20 = 2*g + 4*p, 20 + d = 3*g - 4*p for g.
0
Let o(m) = m**3 + 42*m**2 + 37*m - 144. Let a be o(-41). Solve -c - a*x = -17*x - 7, -3*c + 3*x = 3 for c.
1
Let l = -113 + 116. Suppose l*k = -5*r + 21, 30 + 15 = 4*k + r. Solve k = 4*h - 5*b, 3*b + 20 = -2*h - 2*h for h.
-2
Let m be 1*-2*4/8. Let f be (m/(-2))/((-5)/(-10)). Solve 5*s + 20 = 2*o, 3*s - o = -2*o - f for s.
-2
Suppose 3*h + 4*t + 42 = 0, 6 + 3 = 3*t. Let b be (6/h)/(1/(-21)). Solve -3*n = -3*i - 15, 0*n = 3*n + i - b for n.
3
Suppose -4 = 2*z + 2, s + 5*z = -11. Let j be (((-3)/3 + 1)/2)/2. Solve 3*b = -k + 2, -s*b + 2*k + j = -6 for b.
1
Let i(d) = -d**2 + 15*d + 2. Let s be i(15). Solve 5*z = -2*f - 0 + 2, 5*z + s = 2*f for z.
0
Let g(d) = 2*d - 1. Let r be g(-2). Let s be ((-6)/r)/(4/10). Let f be (-40)/15*s/(-2). Solve f*o - 22 = -5*t, 0 = -o - 5*t + t + 11 for o.
3
Let p = -392 + 392. Solve z - 5*z + 8 = p, -2*z + 10 = 2*y for y.
3
Let v = 1675 - 1673. Solve -v*u - 4*k - 13 = -5*k, 7 = 2*u + 3*k for u.
-4
Suppose 5*p = 5*c + 35, -4*c = 117*p - 120*p + 25. Solve s + h - 1 = 0, -3*s - h = -p + 10 for s.
-4
Let l be 10*3*(-78)/12. Let z be l/(-20) + -2 + 9/4. Solve 0 = -0*w - 2*w - 2*j - z, -2*w = 5*j + 16 for w.
-3
Suppose 3*w + 8*z = 11*z + 12, 4*z = 2*w - 10. Solve 0 = -w*n + 2*n + 2, -4*n = -2*u - 14 for u.
-3
Let n = 6 - 27. Let x = n + 31. Let d be (x/6)/(2/36). Solve 1 + d = 3*f + 4*c, 5*c - 5 = 3*f for f.
5
Let o = 0 - -34. Let g = -33 + o. Solve -5*f - g = 4*n, -n = 3*f - 4 - 1 for f.
3
Let d = -48 - -38. Let a = 0 - d. Solve 0 = 3*r + 3*c - 7*c + a, -2*c + 6 = -r for r.
2
Suppose 26*a = 19*a. Solve -o = 5*c + 7 + 6, -o - 4*c - 11 = a for o.
-3
Let t = -11 - -11. Let r(y) = y**3 - y**2 - 2*y. Let c be ((-24)/(-30))/(4/10). Let z be r(c). Solve h - 5*s - 29 = z, -h - s + 2*s + 9 = t for h.
4
Let g = 31 + -11. Suppose n + g = 6*n. Let p be 72/20 + (-12)/20. Solve s + 3*l = l + p, n*l - 41 = 5*s for s.
-5
Let l = -57 - -68. Suppose 0 = -3*p - b + 13, -p = p + 3*b - l. Solve -5*w - n + 29 = 0, -11 - 20 = -3*w - p*n for w.
5
Let t(f) = -f**3 + 6*f**2. Let p be t(6). Suppose p*x - 12 = -4*x. Solve x*l - z - 20 = 0, -5*l = -3*z - 23 - 17 for l.
5
Let h(a) = a**3 - 8*a**2 - 9*a + 13. Let f be h(9). Let y(j) = -2*j**2 + 25*j + 17. Let u be y(f). Solve 2*v - n - 20 = -6*n, -n + u = -v for v.
0
Let t = 9 + -3. Let x be 104/6 - ((-286)/(-39) + -7). Solve -u - 3*f = t, -u + 5*f + x = -5*u for u.
-3
Let h(f) be the first derivative of f**4/4 - 8*f**3/3 - 7*f**2/2 - 4*f + 4. Let a be h(9). Let k = 16 - a. Solve 2*v + 4 = -k*v + 2*m, 0 = -5*v + 5*m + 5 for v.
-3
Suppose -5*d + 197 + 157 = -4*b, 5*d - 3*b - 353 = 0. Let a = -61 + d. Solve 4 = 4*o - 4*r, -5*o + a = 5*r - 6 for o.
2
Let x be ((-3)/(-2))/(-1 + 77/66). Solve 2*w - 8 = -2*t, -3*w - t + x = -7*w for w.
-1
Let o(f) be the first derivative of f**3/3 - f - 2. Let y be o(2). Let m be (261/(-18))/((-1)/2). Solve 3*j - y*x = 27, 2*j - m + 1 = 4*x for j.
4
Let c = -260 + 236. Let r = -12 - c. Let m be 39/9 + 2/(-6). Solve m*n = -12, r = 3*q - 4*n + 5*n for q.
5
Let s be (-4)/(-26) + (-2094)/(-78). Let c = -19 + s. Solve -4*g = -4*r + c, 3*g + r + 4*r - 10 = 0 for g.
0
Let m be (-28)/(-6) + -2 - (-32)/(-48). Solve 0 - 4 = -2*i, m*v - 14 = -4*i for v.
3
Suppose -h + 4*h + l = -29, 14 = -h + 4*l. Let a = -8 - h. Suppose 0 = -g - 3*u + 6, 10 = 2*g + 2*u + 3*u. Solve -3*n + 9 = g, -5*i + 3*i - 2*n - a = 0 for i.
-4
Let x(v) = -v**3 - 3*v**2 - 2*v - 1. Let n(w) = w**2 - 13*w - 17. Let g be n(14). Let b be x(g). Solve k + b*u = 17, -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
e c?
True
Let s(h) = -h**2 + 8*h - 1. Does 15 divide s(4)?
True
Let k = 9 - -47. Is k a multiple of 19?
False
Suppose o + 36 = 5*o. Let b = o - 4. Suppose b*h = 73 + 2. Is 15 a factor of h?
True
Let b be 1 + 3 - 2/1. Suppose b*h = 8 + 4. Does 6 divide 134/h - (-4)/6?
False
Let d = -9 - -34. Suppose d = 3*j - 41. Suppose 3*l + 7 - j = 0, -17 = -4*b + 3*l. Is 5 a factor of b?
False
Let j = -55 + 82. Let m = -13 + j. Is m a multiple of 6?
False
Let l = 1 - 1. Suppose -2*c + l*c = -80. Does 20 divide c?
True
Suppose -6*i - 80 = -422. Does 19 divide i?
True
Suppose -2*x + 21 = 5*m, -28 = -0*m - 4*m + 4*x. Let i(c) = c**3 - 4*c**2 + 4*c - 7. Is i(m) a multiple of 19?
True
Suppose 0 = -5*x - 0 - 5. Is 12 a factor of (-300)/(-18) + x/(-3)?
False
Suppose 4*b - 7 - 13 = 0. Let u = b - -31. Suppose k + 2 = -5*g, -2*k - g = k - u. Does 6 divide k?
False
Let v be (-5 - -2)*2/2. Is (-1 + v + 3)*-9 a multiple of 9?
True
Suppose -2*k - k = 0. Suppose 3 - 8 = 5*u, -3*q - 2*u + 16 = k. Suppose -3*d = -q - 9. Is 5 a factor of d?
True
Let o(b) = b**3 + 4*b**2 + b - 4. Let t be o(-3). Suppose t*c = c + 14. Is 7 a factor of c?
True
Let b(w) = w**2 - w + 4. Let q be b(0). Suppose q*l + t - 21 = 2*t, -4*l = -5*t - 41. Suppose -31 = -2*u + 2*i + 5, 4*u + l*i - 56 = 0. Is u a multiple of 8?
True
Suppose -2*y = y - 3. Suppose o = y + 2. Is 12 a factor of -1 + o/(9/96)?
False
Let c(r) = 34*r + 2. Let f(p) = p + 5. Let y be f(-4). Is 18 a factor of c(y)?
True
Let o be 6/(2/4 - -1). Let z(h) = h**2 - 4*h + 2. Let w be z(o). Suppose -w*b = v - 51, b - 4 = 2*v + 14. Is b a multiple of 12?
True
Suppose 2*d + 3*u + 4 + 26 = 0, -4*u = -2*d - 30. Let l = 31 + d. Is 4 a factor of (3 + -1)*l/4?
True
Suppose 0 = -6*l + 12*l - 1080. Is 20 a factor of l?
True
Suppose z + 2*k - 7 = 0, 0 = 4*z - 0*z - 2*k - 68. Let p be 66/z + 2/(-5). Suppose 0*x - 28 = -p*x. Is 7 a factor of x?
True
Let i(p) be the third derivative of -p**4/24 - 2*p**2. Let h be i(0). Suppose -5*q + 45 = -h*q. Is 8 a factor of q?
False
Let a(x) = -x + 9. Suppose -5*w + 6 = -29. Let j be a(w). Suppose -2*f = 2*r - 6, 2*r + f - 10 + j = 0. Is 3 a factor of r?
False
Let o be -6 - (-2)/((-6)/9). Let x = o - -13. Is x a multiple of 2?
True
Let t(x) = 14*x**3. Does 14 divide t(1)?
True
Suppose -5*w + 5*r + 35 = 0, 5*r - 41 + 13 = -4*w. Suppose -3*k + 12 = 2*z - w*k, 36 = 4*z - 4*k. Is z a multiple of 12?
True
Is ((-184)/10 - 2)/(24/(-160)) a multiple of 34?
True
Let a(s) = 3*s. Let k(j) = 5*j. Let t(c) = -8*a(c) + 5*k(c). Let q be t(-1). Is ((-56)/(-12))/(q/(-6)) a multiple of 11?
False
Let s = 129 + -65. Does 16 divide s?
True
Let r(p) = -4 - 1 - 1 - 8*p + 1. Is 27 a factor of r(-5)?
False
Suppose 1 = 5*c - 14. Suppose -c*x - 60 = -8*x. Is 7 a factor of 200/x + (-1)/(-3)?
False
Let r be (-2)/(-7) + (-8672)/(-28). Suppose 2*f - i - 98 = 0, 5*i - 70 = 5*f - r. Does 25 divide f?
True
Suppose -5*q - 2*v - 1561 = -v, v = 3*q + 943. Let b be (-2)/7 + q/7. Let d = b - -92. Is 16 a factor of d?
False
Let d(b) = -24*b - 5. Is 24 a factor of d(-5)?
False
Let n(c) = 56*c**2 - 2*c. Is 29 a factor of n(-1)?
True
Let z(q) = -q**2 - 9*q - 9. Let n be z(-7). Suppose 0 = -r - 4*d - 9, -r + d + 7 = -3*d. Let s = r + n. Does 4 divide s?
True
Let s = -15 - -71. Does 17 divide s?
False
Let v = -13 + 10. Let h be (v - 0)/((-9)/6). Suppose 0 = h*t - 7*t + 305. Does 25 divide t?
False
Is 14 a factor of -1 + 2 + (-276)/(-4)?
True
Let m(p) = 2*p + 2 - 2*p + p. Let u = -18 + 24. Is 8 a factor of m(u)?
True
Let y(s) = s**3 - 4*s**2. Let p be y(4). Suppose 5*v - 4*g + 18 = -p*v, 3*g + 33 = -4*v. Let d = v - -11. Is d a multiple of 2?
False
Let j = 110 - 45. Does 13 divide j?
True
Suppose -5*o - 2*c + 11 = -5*c, -5*o - 3*c = 1. Let j(a) = 7 + o + a**2 + 2*a - 4 - 4*a. Is j(6) a multiple of 23?
False
Let q = 178 - 82. Is q a multiple of 16?
True
Let t be 3/(2 - 291/150). Suppose 3*v - t = -2*v. Suppose -2*u - j + 46 = v, j = u - 12. Does 8 divide u?
True
Suppose -3*z + 44 + 52 = 0. Let i = -28 - -32. Suppose 107 - 17 = 3*t + i*a, -t - 2*a = -z. Is 13 a factor of t?
True
Let k(q) = 8 + 2*q**2 + 4 + q**2 - q**2 + 16*q. Is k(-11) a multiple of 22?
False
Let t(f) be the second derivative of -f**5/20 - f**4/6 + f**3/3 + 3*f**2/2 + f. Let g be t(-4). Suppose -g = -2*v + 13. Does 14 divide v?
False
Is (52 - 0/(-3)) + -4 a multiple of 11?
False
Suppose 5*m - 12 = 18. Suppose 2*n = -n - m. Does 14 divide (-1)/n*14*7?
False
Let r(p) = -p + 4. Let g
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(132)*2*-6 - sqrt(132))*-6)/(sqrt(72)/(1*sqrt(6)) + sqrt(48)/(sqrt(12)/sqrt(3))))**2 + -3.
14253
Simplify (sqrt(1694)*-1)/(sqrt(242) + (sqrt(242) - 1*sqrt(242))) + 5.
-sqrt(7) + 5
Simplify -2*(sqrt(25)*2)/sqrt(5) - (sqrt(320) + 5 + (0 + sqrt(320))**2).
-325 - 12*sqrt(5)
Simplify ((sqrt(132)*-4)/sqrt(4))/(sqrt(3) - -3*sqrt(192)).
-4*sqrt(11)/25
Simplify ((-4 + 3*sqrt(176))**2 - 6*(2 + sqrt(176))) + -5 + 0.
-120*sqrt(11) + 1583
Simplify -1 + (sqrt(243) + (sqrt(243) - -2*-1*sqrt(243)) - (sqrt(243) - (3 + sqrt(243)*-2)) - (sqrt(243) + (sqrt(243) - (sqrt(243) + -1)))*-1*4)**2.
126*sqrt(3) + 291
Simplify 5 + -1 + 0 + 5*(sqrt(1216)*1 + -5)**2.
-400*sqrt(19) + 6209
Simplify ((-4 + -3 + sqrt(567) + -2*sqrt(567) + sqrt(567) + sqrt(567))*6)**2.
-4536*sqrt(7) + 22176
Simplify -4*(-2*(-1 + sqrt(3))*-4 + 1 + (sqrt(3) - (-1 + sqrt(3))*1))**2.
-912 + 384*sqrt(3)
Simplify (1 + sqrt(153))**2 + 0 + -1*(sqrt(204)*-3)/sqrt(12).
9*sqrt(17) + 154
Simplify -5 + 0 + -5*(-2*(0 + sqrt(200)) + sqrt(200) - sqrt(200))**2.
-4005
Simplify (sqrt(114) + sqrt(114) + -5*sqrt(114)*4 - sqrt(114))/(sqrt(30)/(sqrt(25)/sqrt(5))) + 0.
-19*sqrt(19)
Simplify (-1*((1*sqrt(220))/sqrt(4))/(-6*(sqrt(11) - sqrt(176))))**2 + 5 + 1.
1949/324
Simplify ((sqrt(2057) + 1 + -5 + sqrt(2057) - (-4 + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1) - sqrt(2057)))) + -4*(sqrt(2057) + sqrt(2057)*1)*-6 + 5)**2.
6864*sqrt(17) + 5562164
Simplify 5*(((5*(sqrt(567) - -2*sqrt(567)) + -3)*-2)**2 + -4).
-16200*sqrt(7) + 2551660
Simplify 0 + (-2*(2 + 2*sqrt(112)))**2.
128*sqrt(7) + 1808
Simplify 5*(5 + sqrt(17)*-3 + 4 + sqrt(425) + 1 + 0)**2.
200*sqrt(17) + 840
Simplify (2*(1*sqrt(35) - sqrt(35) - sqrt(35))*-6)/(sqrt(21)/sqrt(3)*5 + (sqrt(175) - (sqrt(175) + sqrt(175)*-2))).
4*sqrt(5)/5
Simplify ((sqrt(3) - (sqrt(6)/sqrt(2) + 0)) + -5 - 5*-1*sqrt(432))**2*6.
-3600*sqrt(3) + 64950
Simplify (-2 + (6*(1 + sqrt(68)*2) - (-5 + sqrt(68) + 1 + sqrt(68) + -1)))**2.
360*sqrt(17) + 6881
Simplify ((2*sqrt(216)*-6)/sqrt(6))/((-1*sqrt(300) - sqrt(300) - sqrt(300))*4).
sqrt(3)/5
Simplify ((-4*(4 + sqrt(325) + 1))**2 + -2)*5.
4000*sqrt(13) + 27990
Simplify ((sqrt(110)*4*6)/(sqrt(960)/sqrt(6))*6)**2.
14256
Simplify (-1*(sqrt(70)*-1 + sqrt(70))*2)/(-1*sqrt(1000)*5).
0
Simplify (3*(sqrt(539) - (3 + sqrt(539)))*-4*-6)**2.
46656
Simplify ((-5 + (sqrt(60) + sqrt(720)/(-2*sqrt(12)))/(-1*sqrt(48)/sqrt(4)))*2)**2.
20*sqrt(5) + 105
Simplify 3 + (((3*sqrt(5) - sqrt(5))*-1 - (sqrt(45)*-3 + sqrt(45))/sqrt(9))*4)**2.
3
Simplify -3 + (sqrt(192) + 4 + sqrt(192)*-2 - sqrt(192))**2 - (-2*sqrt(192)*-5*-3)**2.
-172019 - 128*sqrt(3)
Simplify ((sqrt(468) + 2*sqrt(468)*2)/sqrt(9))/(1*(6*sqrt(4)*2 + sqrt(4))).
5*sqrt(13)/13
Simplify 2 + (3 + (1*sqrt(162)*3 + sqrt(162) + sqrt(162))**2*6)*-3.
-72907
Simplify (sqrt(209)/(sqrt(891) + (sqrt(891) - 2*sqrt(891)) + sqrt(891)))**2 + -4*(-1 + sqrt(19))**2*4.
-25901/81 + 32*sqrt(19)
Simplify -1*(1 + 2*sqrt(432) - sqrt(24)/(6*(sqrt(8) + sqrt(32)/sqrt(4)) - sqrt(8))).
-263*sqrt(3)/11 - 1
Simplify (sqrt(153)/(sqrt(27)/(sqrt(36)/sqrt(4))))/(sqrt(24)/((sqrt(80)/sqrt(2))/sqrt(5))).
sqrt(17)
Simplify (6*1*2*(-2 + sqrt(20) + -4))**2.
-3456*sqrt(5) + 8064
Simplify (-1*(0 + sqrt(17) - sqrt(17)) + (sqrt(17) - (sqrt(17) + (-1*sqrt(153) - sqrt(153))/sqrt(9)))**2 + -3)*1.
65
Simplify -4*(sqrt(11) + (-2 + sqrt(99))**2 + sqrt(176) + 0 + -1).
-408 + 28*sqrt(11)
Simplify 1*2*(2*(sqrt(1088) + -2)**2 + (sqrt(1088)*1 + 1)**2 + sqrt(1088)).
-80*sqrt(17) + 6546
Simplify (-2 + -1*(0 + -1 + sqrt(684) + 1)**2)*3.
-2058
Simplify ((sqrt(612) - sqrt(612)*4) + 5)*6 - (2*(sqrt(612) + -1 + sqrt(612) + 2 - sqrt(612)))**2.
-2422 - 156*sqrt(17)
Simplify (sqrt(13) - (-1 + sqrt(117)) - (4*(sqrt(13) + 0) - sqrt(13)))**2 + (sqrt(91) + ((sqrt(91) + sqrt(91)*-1)*5 - sqrt(91)))/sqrt(7).
-10*sqrt(13) + 326
Simplify -1 + sqrt(832) + sqrt(832) + sqrt(117)*-6 - (0 + (sqrt(26)/sqrt(2))**2 + sqrt(52)/sqrt(4) + -4).
-3*sqrt(13) - 10
Simplify 1 + (sqrt(108) + sqrt(108)*3 + sqrt(108))/(sqrt(16) - -4*sqrt(16)) + -2.
-1 + 3*sqrt(3)/2
Simplify (((-1*(sqrt(91) - (sqrt(91)*-2 - sqrt(91))) - sqrt(91))*4)/(sqrt(63)*1 + sqrt(343)*2))**2.
5200/289
Simplify (1*-1*sqrt(6480))/(((2*sqrt(81) - sqrt(81))*3)/sqrt(9)).
-4*sqrt(5)
Simplify ((2*(sqrt(104) + sqrt(104)*-1))/(2*sqrt(32)))**2.
0
Simplify (2 + (2*-3*sqrt(17) - (sqrt(136)*-3 + sqrt(136))/sqrt(8))*-2)**2*5.
160*sqrt(17) + 5460
Simplify ((sqrt(160)*2)/sqrt(8))/(sqrt(10) + -6*sqrt(810)).
-2*sqrt(2)/53
Simplify 2 + 3*((sqrt(85)/sqrt(5
|
{
"pile_set_name": "DM Mathematics"
}
|
its digit of h(y)?
1
Let i = 637 + -422. What is the units digit of i?
5
Let i(n) = 12*n + 4. What is the tens digit of i(4)?
5
Suppose 76 = 9*o - 8*o. What is the units digit of o?
6
Let g(z) = -2*z - 4. Let d be 11/(-2) + 15/10. Let j be g(d). Suppose -7 = -3*b - j. What is the units digit of b?
1
Let m = 51 - 28. What is the tens digit of m?
2
Suppose 6*a + 60 = 10*a. Suppose 2*n - 10 = 4*m, 5*m + 2*n + 2*n + 6 = 0. Let h = m + a. What is the units digit of h?
3
Let w(r) = r - 17. Let m(l) = 6. Let x(a) = 8*m(a) + 3*w(a). What is the units digit of x(9)?
4
Let u = 22 + -15. Let m = -6 + u. What is the units digit of m?
1
Let a = 4 - 2. Suppose j = 24 + a. What is the tens digit of j?
2
Let a = 1022 + -1454. What is the tens digit of a/(-42) - (-2)/(-7)?
1
Let o(z) = -2*z + 3. Let d(f) = -f**3 - 3*f**2 + f - 3. Let b be d(-3). Let r be o(b). Suppose 0*p = 3*p - r. What is the units digit of p?
5
Suppose -249 = -3*g + 81. What is the units digit of g?
0
Let q = -2 - 2. What is the units digit of (-168)/(-27) - q/(-18)?
6
Let c be 1/2 - (-45)/(-10). Suppose 3*t - 6*t + 9 = 0. Let o = t - c. What is the units digit of o?
7
Let g(w) be the third derivative of w**5/60 - w**4/3 + w**3/2 - 2*w**2. What is the units digit of g(9)?
2
Suppose 10*q - 5*q = 0. Suppose 4*f + 5*h = 35, q = f + 3*h - 7 - 7. What is the units digit of f?
5
Let d = -11 + 11. Suppose -g + 11 + 11 = d. What is the units digit of g?
2
Let p = -14 - -23. Let t be p/(-3) - (-3 - -1). What is the units digit of 1/(2 + (t - 0))?
1
Let p(h) = h**2 + 8*h + 4. Let f be p(-3). Let d = -8 - f. What is the units digit of d?
3
Let j = 144 - 243. Let d be ((-3)/(-9))/((-1)/j). Let h = d + -14. What is the units digit of h?
9
Let d(b) = -239*b**3 + 2*b**2 + 1. What is the tens digit of d(-1)?
4
What is the tens digit of -3 + 9/3 - -30?
3
What is the hundreds digit of (-6)/21 - (13365/(-35))/3?
1
Let m(y) = y**3 + 8*y**2 + 8*y - 2. Let c be m(-7). Let j = 22 + c. What is the tens digit of j?
1
Let n be 920/(-15)*(-3)/2. What is the tens digit of n/4*(3 + -1)?
4
Suppose 0 = 5*u - 5*n + 205, -64 = -3*u - 4*n - 194. Let s = 72 + u. What is the units digit of s?
0
Suppose 8 = i - 6. What is the units digit of i?
4
Suppose -108 = -p - 2*g, 96 + 296 = 4*p - 2*g. What is the tens digit of p?
0
Suppose -3*k = k - 36. What is the units digit of k?
9
Let m be 1/(-1) - 0 - 23. Let a = -9 - m. What is the units digit of a?
5
Suppose 55 = 5*u + 10. What is the units digit of 172/36 - (-2)/u?
5
What is the tens digit of ((-137)/2 - 0)/((-1)/2)?
3
Let v be -1*1*(-6 - -1). Let r = -5 + v. Suppose r = 4*o + 5*a - 0 - 8, -27 = -5*o - 2*a. What is the units digit of o?
7
Suppose -3*u + u = -5*r + 782, 778 = 5*r + 2*u. What is the units digit of r?
6
Let a = 1 + 2. Let w = a + -1. Suppose -y - y = -w*b + 6, 5 = b. What is the units digit of y?
2
Let l(n) be the first derivative of -n**2/2 + 16*n + 2. What is the units digit of l(-9)?
5
Let w(a) = a**2 + a - 3. Let x be w(-3). Suppose -3*d + 32 = -d + 2*h, 12 = 2*d - x*h. What is the tens digit of d?
1
Let f(o) = o**3 + 2*o**2 - 2*o - 1. Let t be f(-2). Suppose -z + 6*z - 3*y - 32 = 0, -2*z - t*y + 17 = 0. What is the units digit of z?
7
Suppose 0 = -8*u + 3*u + 15. What is the units digit of 12 - (1 - (-3 + u))?
1
Let f = 34 + -9. What is the tens digit of f?
2
Let h = -9 - -14. Suppose -4*y = -2*m - m - 34, -5*m - 3 = y. Let g = y - h. What is the units digit of g?
2
Suppose 2*d - 2 = 3*d. What is the units digit of d/(-1) + -2 + 2?
2
Let d = -54 + 116. What is the units digit of d?
2
Suppose 0*s - 462 = -11*s. Suppose -2 = -r + 1. Suppose s = -0*b + r*b. What is the tens digit of b?
1
Suppose 4*t = 8 + 4. Suppose 5*a - a - 38 = -3*w, w + t*a - 11 = 0. What is the units digit of w?
4
Let r(a) = a**2 + 3*a - 2. Let c be r(-4). What is the units digit of (c + -1)*8 - 0?
8
Suppose -3*i = -g + 129, 0*i = -4*g + 3*i + 489. What is the units digit of g?
0
Suppose -3*z = -4*i - 0*i + 183, -2*z - 92 = -2*i. What is the tens digit of i?
4
Suppose -5*p - l = -p - 159, 179 = 4*p - 3*l. What is the units digit of p?
1
Let y(j) = j**3 + 3*j**2 - 7*j - 4. Let z(l) = -l**3 - 2*l**2 + 7*l + 3. Suppose 3 = o - 4. Let x(n) = o*z(n) + 6*y(n). What is the units digit of x(5)?
7
Let m(j) = 8*j - 25. What is the units digit of m(4)?
7
Let j be 6/((-2)/2) - -2. Let r(g) = g**3 + 7 + 10*g**2 - 3 - 4*g**2 + 6*g. What is the units digit of r(j)?
2
Suppose 0 = 5*j - 2*g - 55 - 58, 0 = 3*j - 2*g - 67. What is the tens digit of j?
2
Suppose -4*r + l = -598, r + 2*l = -l + 156. Suppose 0 = -5*h - 45 + r. What is the tens digit of h?
2
Suppose 3*g - 5*l - 36 = 67, -4*g
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Let w(s) = 31*s + 3. Let d be w(3). Suppose 5*f = -r + 3*f + 8, f - 10 = -2*r. Let b be (4/6)/(r/d). Solve j = -5*n + 2*n + 7, -5*j + b = -4*n for n.
1
Let q(t) = t**3 + 2*t**2 - 9*t + 5. Let y be q(-3). Solve v - y = 5*i, 5*i - 9 = -4*v - 42 for i.
-5
Let n be 50*(-2 - 95/(-50))*-4. Solve 2*p + 2 = -0, 5*p = -5*f + n for f.
5
Suppose -2*b + 11 = 3*f, 5*f - 6*b + b - 35 = 0. Solve -3*v = -f*x + 33 + 7, 4*v - 2*x + 30 = 0 for v.
-5
Suppose -w + 1 + 5 = 0. Let r(u) = -u**2 + 7*u. Let x be r(w). Let h be x*3/8*4. Solve -z - 2 = -f, 0 = 3*z - 0*z + 2*f - h for z.
1
Suppose 5*c + s - 108 = -3, 0 = -s - 5. Let d = -4 - -7. Solve 2*q + d*q - 2*y = 24, 4*q = 3*y + c for q.
4
Suppose 2*q = 3*p - 1, -3*q - 2*p + 18 = -0. Suppose 2*f - 2 = q. Solve -f*l = 5*d + 30, -5*l = -4*d - 2*l + 3 for d.
-3
Suppose 5*d - 3*u + 10 = 50, -2*u - 40 = -5*d. Solve 0 = 2*p + d, p + p + 11 = -b for b.
-3
Let v(u) = -u**2 - 2. Let o be v(4). Let j be (-112)/(-18) + 4/o. Solve -3*k + 5*h - 1 = -15, 3*k = 3*h + j for k.
-2
Let q = -172 - -104. Let p = -63 - q. Solve -c + p*c = 8, 4*c - 5 = -b for b.
-3
Suppose 0 = -14*c + 16*c + 4. Let y be c/10 - (-11)/5. Solve -4*f + 2 = -y*f - 2*j, f + 2*j = -8 for f.
-2
Suppose 4*j = -5*a - 15, 4 - 7 = a. Suppose -3*r = -j*r - 27. Solve -2*v = -10, r*d + 4*v = 4*d + 35 for d.
3
Let c = -145 - -167. Solve 0 = -5*r - d - c, 0*d - 21 = 3*r - 2*d for r.
-5
Let y(k) = -k**3 - 13*k**2 - 24*k - 17. Let c be y(-11). Solve -4*z + c*q + 31 = 0, -2 = -4*q - 14 for z.
4
Suppose 0 = -3*s + 15, 19*y - 16*y = -s + 65. Solve u + 4*a - y = 0, -5*u - 2*a + 10 = -0*a for u.
0
Let o = 71 + -23. Suppose 3*g - 7*g = o. Let t = g + 14. Solve -t*l + 5*j = -17, 7 = 4*l - 2*j + j for l.
1
Suppose -3*h + 4 = 2*i, -4*h - 3*i - 5 = -5*h. Solve -h*o = -0*o + f + 8, 0 = 5*o + f + 23 for o.
-5
Let l(f) = -f**3 + 7*f**2 - 4*f - 8. Let n be l(6). Let v = -79 - -91. Solve -n*z + 1 = -0*z + 5*d, v = -4*d for z.
4
Let s be (-2 - -2)/((-4)/((-16)/12)). Solve -2*f = 3*f - 4*p - 23, s = 4*p + 8 for f.
3
Suppose -2*m - a + 1 = 0, 3*m - 4 = a + 10. Suppose -8*x = -m*x - 20. Solve -4*w + s - 13 = x*s, -6 = -3*w + 3*s for w.
-1
Let s = -402 + 437. Solve 21 + 8 = -j - 5*p, 5*j + 3*p = -s for j.
-4
Let h(b) = -b**3 - 6*b**2 + 3*b - 14. Let k be 2 + 2 - (18 - 7). Let l be h(k). Solve l = -3*c + o, -3*c - 4*o + 7*o - 12 = 0 for c.
-5
Let c(b) = b**3 - 4*b**2 + 6*b - 2. Let r be c(2). Suppose -g - 30 = -2*u, -3*u + r*g + 9 = -2*u. Solve -o - u = -5*y, 4*o - y - 11 = -o for o.
3
Let k be (1 - 7)/(6/4). Let w be ((-4)/k)/1 - 1. Solve m + 4*t - 9 = w, m - 5*t + 7 + 2 = 0 for m.
1
Let s = -3 + 7. Let t be 27/15*3*5. Suppose 3*u - t = -5*y, -s = -4*u + 3*y + y. Solve 0 = -3*m + 2*c + 3, 2*m - 4*m = -u*c - 10 for m.
-1
Suppose 26 = -3*y + 4*s, 5*y - 4*s + 40 = s. Let n(v) = 3*v + 20. Let z be n(y). Solve -f + 11 = -z*g + 2*f, -5*f = 4*g - 33 for g.
2
Let v be (11 - 11)/(4/(-2)) - -3. Solve -r = -4*p + 18, p + 12 = r + v*p for r.
2
Suppose 3*f = -2*t - 3*t + 74, 0 = f + 2. Solve -4*r - t = -4*q, -2*q + 12 = 4*r + 4 for q.
4
Let p = 57 - 61. Let g = -2 - p. Solve g*w + 16 = -4*v, -5*w - 4 = -3*v + v for v.
-3
Let v be ((-1)/(-4))/(-1) - 4494/(-856). Solve -k + 4 = -c + 1, -k + v*c - 5 = 0 for k.
5
Suppose 10*p - 154 = -4*p. Solve -4*s + 1 = -3*x - p, -3*s = -3*x - 9 for x.
0
Suppose -35 = -f - s, 2*f + s + 4*s = 73. Let v be -2 + (0 - (-9)/3). Let n be (-10)/(-3 + v - -1). Solve -4*o + 5*t + 35 = 0, -5*o + n*o - f = 3*t for o.
5
Suppose -i - 3*i - 2 = -3*k, 3*k - 6 = 3*i. Let f be ((-1)/(-2))/(8/(-32)) - -2. Solve -v - 2*l + 11 = f, k*l - 20 = 2*l for v.
1
Suppose z = 2*j + 6, -12 = -0*j + 4*j. Suppose -2*c + 2 = -2*f + 8, 3*f - 5*c - 7 = z. Solve 6 = -2*x + f, -22 = 5*k + 2*x for k.
-4
Suppose 2*t + 5*x = x + 2, -8 = -t + 5*x. Let s = -3 - -20
|
{
"pile_set_name": "DM Mathematics"
}
|
the next term in -2148, -4323, -6524, -8757, -11028, -13343?
-15708
What comes next: 71107, 71104, 71099, 71092, 71083, 71072?
71059
What is the next term in -304, -267, -176, -7, 264, 661, 1208?
1929
What is next in -4, -55, -148, -295, -508, -799, -1180?
-1663
What comes next: 33071, 66137, 99205, 132275, 165347, 198421, 231497?
264575
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-492445
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-174219
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1355
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280165
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814
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54997
What is next in -181, -320, -423, -490, -521, -516?
-475
What is next in -252, -962, -2132, -3762, -5852, -8402, -11412?
-14882
What comes next: -6401, -12718, -19021, -25304, -31561?
-37786
What is next in 38, 450, 862?
1274
What is next in -148, -394, -790, -1324, -1984, -2758, -3634, -4600?
-5644
What is the next term in -1376055, -1376051, -1376045, -1376037, -1376027, -1376015?
-1376001
What comes next: 13645, 13658, 13669, 13678, 13685?
13690
What is the next term in -2816, -2836, -2856?
-2876
What comes next: 449, 934, 1417, 1904, 2401?
2914
What is the next term in -26374, -26371, -26368, -26365, -26362, -26359?
-26356
What comes next: -19560, -39302, -59042, -78780, -98516, -118250?
-137982
What is the next term in -1562574, -1562576, -1562578, -1562580, -1562582?
-1562584
What is the next term in -428, -457, -484, -509?
-532
What is the next term in 3844, 7650, 11456, 15262, 19068, 22874?
26680
What comes next: 310, 658, 1006, 1354, 1702?
2050
What is the next term in -5035, -20144, -45325, -80578, -125903?
-181300
What comes next: 1998, 2002, 2008, 2016, 2026, 2038?
2052
What comes next: 123, 154, 185, 216, 247?
278
What is the next term in 1834, 1877, 1920, 1963?
2006
What is the next term in 333, 664, 995, 1326?
1657
What comes next: 1187, 2303, 3421, 4541, 5663, 6787, 7913?
9041
What is next in -7725, -15696, -23669, -31644?
-39621
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8878
What is the next term in -8904644, -8904646, -8904648?
-8904650
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1543
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-7889
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3057
What is next in 1828, 3768, 5708?
7648
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1295
What is next in 14032, 14019, 14006?
13993
What is next in 831, 3404, 7697, 13704, 21419, 30836, 41949?
54752
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-1834
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-2551220
What is next in 281, 1019, 2247, 3965, 6173, 8871, 12059?
15737
What is next in -7689, -7680, -7667, -7650, -7629?
-7604
What comes next: -56285, -112569, -168849, -225125, -281397, -337665?
-393929
What is next in -5920, -5925, -5930?
-5935
What is the next term in -482, -822, -1148, -1454, -1734?
-1982
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-55421
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12118
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-575
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-1109672
What is next in -2239, -2441, -2637, -2827, -3011?
-3189
What is the next term in -2831, -5762, -8681, -11588?
-14483
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-1385
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-26356
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-12923
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-2015664
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-17563
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329
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120
What is the next term in -2465, -9779, -21967, -39029, -60965, -87775, -119459?
-156017
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4433
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-55613
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1465283
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1485
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9519
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1504
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16404
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51618
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-3649
What is next in 36901, 73778, 110645, 147496, 184325?
221126
What comes next: -60539, -60561,
|
{
"pile_set_name": "DM Mathematics"
}
|
et r be ((-82)/(-3))/(4/6). Does 56 divide 0 + 1002 - r/(205/(-30))?
True
Suppose 7*i = 52257 - 9123. Is i a multiple of 78?
True
Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)?
False
Let y(q) = -q**3 + 4*q**2 - 2*q - 3. Let z be y(3). Suppose -4*j + m = 5*m - 196, z = 3*m - 9. Is j a multiple of 2?
True
Suppose -10*p = -8*p - 8. Does 18 divide 3*p/6*66?
False
Let d = 7 + 4457. Is 130 a factor of d?
False
Suppose -48*r + 6048 = 96*r. Does 7 divide r?
True
Let q = -191 + 187. Let m(w) = -3*w**3 + 4*w**2 - 9*w - 15. Is 8 a factor of m(q)?
False
Suppose -16*z + 13*z = -2*w + 2073, 3*w - 3152 = -4*z. Does 4 divide w?
True
Suppose 23*s - 6*s + 38*s - 1380500 = 0. Is 27 a factor of s?
False
Suppose 4*t = -y + 319, 0 = -5*t + 3*y - 0*y + 420. Let r = 45 - t. Let i = 76 + r. Is i a multiple of 8?
True
Let s = 3463 - 1372. Does 17 divide s?
True
Suppose 18*b - 1765 = 23*b. Let k be 1/4 + 1706/(-8). Let n = k - b. Is n a multiple of 28?
True
Let m be 2 + 5000 + 6/2 - -4. Suppose 0 = 22*j - 9313 - m. Is j a multiple of 31?
True
Suppose 2*c - 32 = -14. Let q = c + -15. Is 21 a factor of q/(-10) + 52/(-30)*-36?
True
Let z(q) = q**3 + 3*q**2 - 12*q - 4. Let n be z(-5). Suppose -n*o = 15*o - 9996. Does 34 divide o?
True
Let g = -596 + 264. Let i = g - -372. Is i a multiple of 7?
False
Suppose 312*t - 4985204 + 894884 = 0. Is t a multiple of 15?
True
Suppose -41*f + 133756 + 449920 = 0. Is f a multiple of 14?
False
Suppose -9842 = -36*y + 17*y. Suppose 604 = 4*i - c - y, -2*c = 4. Is i a multiple of 20?
True
Suppose -2*t + 3289 - 408 = r, -2*r - t = -5744. Is r a multiple of 19?
True
Let v be 108/378 + 1/(7/19). Suppose -u + 2 = -v*z, -2*u - 4*z + 2*z + 12 = 0. Suppose -3 = -2*p + 2*j + 1, 2*j - 45 = -u*p. Is p a multiple of 5?
False
Suppose -104*m + 105*m = 1. Let p(y) be the first derivative of 141*y**4/4 - 2*y**3/3 + y**2/2 - y + 2. Is p(m) a multiple of 7?
False
Does 5 divide (-43 - (-1045)/22)*(-10040)/(-6)?
True
Suppose 0 = 3*q - 61*b + 56*b - 17520, -q + 5840 = -3*b. Is q a multiple of 146?
True
Let p(a) = -66 + 21*a + 14 - 1. Let r = -16 - -24. Does 7 divide p(r)?
False
Suppose -75*y + 71*y + 114691 = 3*b, 5*y - 143355 = 5*b. Is y a multiple of 25?
False
Let r(a) = 5*a**3 - 20*a**2 + 9*a - 6. Let d be r(9). Suppose -29*l + 38848 = -d. Does 90 divide l?
False
Let f(b) = 2118*b - 14656. Does 40 divide f(12)?
True
Let v(r) = 6 + r + r**2 - 5 - 6*r**3 + 7*r**3. Let p be v(-1). Suppose 4*c - 306 + 86 = p. Does 11 divide c?
True
Suppose 2*q + 114 = 4*q - 4*y, 2*q = 3*y + 113. Suppose q = 4*k - 53. Suppose -x - 4*p + 5*p = -k, 0 = -4*x - 2*p + 132. Is x a multiple of 3?
False
Let w = -13583 + 24803. Does 33 divide w?
True
Let j(l) = -l**3 + 9*l**2 - 8*l + 50. Suppose -n = 3*p - 23, -3*p + 2*n - 4*n = -25. Is 16 a factor of j(p)?
False
Let a = 6226 - 4007. Let t = a - 1393. Does 7 divide t?
True
Let g(n) = n**3 - 2*n**2 - n + 1. Let p(w) = 93*w**3 + 5*w + 15. Let f(t) = -g(t) - p(t). Is 51 a factor of f(-2)?
False
Let k = -60 + -103. Does 15 divide 0*(-4)/28 - k?
False
Suppose 34*g - 311459 = -51971. Is 24 a factor of g?
True
Suppose 0 = -t + 4*b + 3839, -3*t + 11517 = -b - 4*b. Suppose -t = -4*i + 161. Is i a multiple of 47?
False
Suppose -3*o - 4*b + 722 = 0, -2*b = -4*o + 87 + 883. Let f = 418 - o. Does 8 divide f?
True
Let o(v) = 3*v - 11*v - 3*v - 5 + 6*v. Let w be o(-3). Suppose 56 = w*j - 24. Is 8 a factor of j?
True
Let x(g) = -g**2 - 20*g + 20. Let v(s) = 51*s**3 + 4*s**2 + 3*s + 6. Let r be v(-3). Let w be r/132 - (-4)/22. Does 6 divide x(w)?
True
Suppose -4*u + 76 = 4*p, 0 = -5*u - 1 - 9. Let g be 3/(((-8)/p)/(-8)). Let a = g - 46. Does 15 divide a?
False
Let d(v) = 2*v**2 - 12*v - 8. Let m be d(7). Suppose -4*y = -j + 22, -y = 2*j - m*y - 44. Suppose f + o = 3*f - 25, 2*f + 2*o = j. Is 12 a factor of f?
True
Suppose -5*o = -2*o, -a + o = 410. Let b = a + 583. Suppose -306 = -4*i + 5*u + b, -2*u = -2. Does 9 divide i?
False
Suppose -1462318 + 272662 = -117*x. Does 31 divide x?
True
Let y(b) = 5717*b**2 - 20*b + 1. Does 77 divide y(1)?
True
Let m = 2630 - 1382. Does 5 divide (m/(-80))/(4/(-10))?
False
Suppose -a = -4*a + 45. Is (-2)/a - (-272)/15 a multiple of 6?
True
Suppose -9*a - 5917 - 536 = -4*h, 0 = -4*h - 5*a + 6495. Is 30 a factor of h?
True
Suppose 120 = 11*p + 43. Suppose 0 = -13*q + p*q + 4872. Is 14 a factor of q?
True
Let c = 168 - 357. Let w = -92 - c. Let l = w + 42. Is 20 a factor of l?
False
Let k = 54 + -49. Suppose k = -2*q + 85. Is q a multiple of 4?
True
Let v = -129 - -198.
|
{
"pile_set_name": "DM Mathematics"
}
|
4538
In base 15, what is c732 - 780?
bea2
In base 16, what is 5ea21 + -4f?
5e9d2
In base 13, what is 13 + -2c26b7b?
-2c26b68
In base 11, what is -1745 - 17a82a?
-181474
In base 10, what is -991 - -345885?
344894
In base 8, what is -60246 - -6?
-60240
In base 7, what is -346524 - 101301?
-451125
In base 7, what is 0 + 416631?
416631
In base 6, what is -12142 - -2234252?
2222110
In base 11, what is -11733 + -179a?
-13422
In base 6, what is -242300312 + 4?
-242300304
In base 5, what is -4 - -1020021031?
1020021022
In base 6, what is -1333544214 + -13?
-1333544231
In base 10, what is 19 + -19159229?
-19159210
In base 7, what is -3 - -24565110?
24565104
In base 12, what is -64 + -104990?
-104a34
In base 12, what is -5 - -176434?
17642b
In base 13, what is b2 - -2167?
2249
In base 4, what is 102202301321 + -11?
102202301310
In base 15, what is 2a81956 + -3?
2a81953
In base 7, what is -2453034 + -24?
-2453061
In base 13, what is -b8c975 - 5?
-b8c97a
In base 7, what is 30445245403 - -5?
30445245411
In base 4, what is -1102 + -21300230211?
-21300231313
In base 12, what is -7a85 + -85b?
-8724
In base 9, what is -5 - -83562364?
83562358
In base 5, what is 4022014 + 11300?
4033314
In base 16, what is -36fe + -8620?
-bd1e
In base 14, what is 0 + -5448?
-5448
In base 16, what is -7f + 12375?
122f6
In base 5, what is -2014132431 - 2?
-2014132433
In base 15, what is e - 2221058?
-2221049
In base 3, what is -102120221 - -1110012102?
1000121111
In base 14, what is -b - -189750?
189743
In base 6, what is -14201 + 2051?
-12110
In base 4, what is 1 + -233111010121?
-233111010120
In base 6, what is -253333213003 - -2?
-253333213001
In base 8, what is 17627554 - -3?
17627557
In base 13, what is bb6 - -59aa?
6893
In base 8, what is -2426440 + -301?
-2426741
In base 3, what is -10 + 121120211120222?
121120211120212
In base 11, what is -101 - -51814?
51713
In base 14, what is -104 - -145c?
1358
In base 3, what is 2120112 + 101010120?
110201002
In base 16, what is -d - ad8dd?
-ad8ea
In base 9, what is 22 - -20822882?
20823014
In base 15, what is -51e - 10dd?
-160c
In base 10, what is 1925849 + -2?
1925847
In base 4, what is 3020132 - -12210223?
21231021
In base 7, what is -503341 - 3342?
-510013
In base 10, what is -156 - -110373?
110217
In base 13, what is 15a654 - 12?
15a642
In base 6, what is -104553525 - -20?
-104553505
In base 14, what is 173 + c153?
c2c6
In base 4, what is -11020231 - -12?
-11020213
In base 16, what is -99c + -131?
-acd
In base 2, what is 100110 + 100101000001000010000?
100101000001000110110
In base 7, what is -5 + -2632355431?
-2632355436
In base 10, what is -5 - 4632583?
-4632588
In base 15, what is -42 + 17491?
1744e
In base 12, what is aa0 - -18215?
190b5
In base 3, what is 202010102102200 + -1?
202010102102122
In base 14, what is 1a2 - 4122d?
-4106b
In base 15, what is -ca7 - -39de?
2c37
In base 13, what is 80 + -583962?
-5838b2
In base 11, what is 4 + 304799a3?
304799a7
In base 5, what is -11 + 324142133?
324142122
In base 4, what is 32 - 3013003021213?
-3013003021121
In base 9, what is 2 - 135307204?
-135307202
In base 16, what is 0 - 158ef6b?
-158ef6b
In base 16, what is 48d5a27 - 1?
48d5a26
In base 5, what is 34201 + -144310?
-110104
In base 13, what is 492 + -17087a?
-1703b8
In base 2, what is 100 + 101110110001011101101001?
101110110001011101101101
In base 4, what is 3010320 - -11123231?
20200211
In base 12, what is -2 - -4566?
4564
In base 10, what is 275 - -1292?
1567
In base 11, what is 134168a2 + -1?
134168a1
In base 5, what is 2223 + 104101133?
104103411
In base 5, what is -4123223321 - 21?
-4123223342
In base 16, what is -319d1 + -f0?
-31ac1
In base 3, what is 12220011 - -2022210?
22012221
In base 11, what is 32 - 37527?
-374a5
In base 3, what is -10 + -2102120122121000?
-2102120122121010
In base 8, what is 727163 + -347?
726614
In base 5, what is 142412330 + 1?
142412331
In base 10, what is -131647062 + -2?
-131647064
In base 5, what is -2 + 223430310?
223430303
In base 7, what is 220162 - -35664?
256156
In base 2, what is 110111010 + 100110111001010?
100111110000100
In base 6, what is -4 - 4211153010?
-4211153014
In base 13, what is 29b920 + 103?
29ba23
In base 11, what is 0 + -1058492?
-1058492
In base 13, what is -5851 - 368?
-5bb9
In base 11, what is -34 - -7835a72?
7835a39
In base 7, what is 6116560 + -1101?
6115456
In base 2, what is -10 + 111111101001111000011011011?
111111101001111000011011001
In base 7, what is -515206 - 504?
-516013
In base 8, what is -7764 + -277?
-10263
In base 6, what is 1545124123 - 0?
1545124123
In base 5, what is -1 + 130311122314?
130311122313
In base 7, what is 41426615 + 6?
41426624
In base 9, what is -73435 - 107?
-73543
In base 3, what
|
{
"pile_set_name": "DM Mathematics"
}
|
d))?
246*d - 1107
Let h(a) be the third derivative of -11*a**4/24 - 14*a**2. Let n(s) = -s**2. Calculate n(h(d)).
-121*d**2
Let g(x) = 2*x**2 - 13. Let i(n) = -n**2 + 6. Let c(z) = 6*g(z) + 13*i(z). Let j(a) = -4*a**2. Calculate j(c(k)).
-4*k**4
Let b(m) = m**2. Let x = 25 + -19. Let o(j) be the third derivative of -j**5/60 + j**3 + j**2. Let f(d) = 1. Let w(c) = x*f(c) - o(c). Calculate b(w(l)).
l**4
Let m(a) = 742*a**2. Let k(c) = c**2. Calculate k(m(x)).
550564*x**4
Let k(c) = -2*c**2. Let r(u) = -13*u - 7. Let y(o) = 7*o + 3. Let p(t) = -6*r(t) - 14*y(t). Give p(k(z)).
40*z**2
Let x(r) = 3*r**2. Let h(a) = -a - 7. Let f(o) = o + 5. Let b be (-573)/(-27) - 4/18. Suppose d - b = 4*d. Let s(t) = d*f(t) - 5*h(t). Calculate s(x(u)).
-6*u**2
Let r(d) = -3*d**2. Let u(c) = 4*c + 6*c**2 + c - 5*c. What is r(u(t))?
-108*t**4
Let v(c) = -2*c**2. Let z(a) = -53*a**2 + 3. What is z(v(l))?
-212*l**4 + 3
Let x(v) = -2*v. Let w(m) be the third derivative of 1/12*m**4 + 0*m + 0 - m**2 + 0*m**3. Determine w(x(q)).
-4*q
Let g(c) = 2*c. Let r(b) be the first derivative of -13*b**2/2 - 18. Calculate g(r(f)).
-26*f
Let t(s) = -s. Let p(q) = 22*q**2 + 4. Let l(h) = -45*h**2 - 7. Let y(m) = 4*l(m) + 7*p(m). Calculate y(t(z)).
-26*z**2
Let c(p) = 2*p. Suppose 0 = 2*m - 4*r + 6*r - 14, -m = -3*r - 7. Let z(o) = 9*o - 3*o - m*o. Calculate c(z(v)).
-2*v
Let m = -9 + 13. Let c(g) = -3*g - m*g + 2*g. Let y(f) = -2*f**2. Give c(y(v)).
10*v**2
Let p(x) be the second derivative of x**6/360 + x**4/6 - 2*x. Let h(r) be the third derivative of p(r). Let n(c) = 5*c - c - 4*c + 5*c**2. What is n(h(f))?
20*f**2
Let g(d) = 78*d. Let r(y) = -4*y. Give r(g(x)).
-312*x
Let p(n) = 10*n. Let c(g) = 37*g. Calculate p(c(s)).
370*s
Let c(s) = -113*s + 7. Let z(k) = -21*k. What is c(z(t))?
2373*t + 7
Let j(k) be the second derivative of 0*k**2 + 0 - 1/3*k**3 - 2*k. Let x(n) = -3*n**2. Calculate x(j(h)).
-12*h**2
Let z(q) = -12*q. Let k(u) = 15*u - 5*u - 6*u + 0*u. Determine k(z(r)).
-48*r
Let a(w) = -w**2. Let b(m) = -7*m**2 - 5. Let l(y) = 0 + 5 + 2 - 1 + 8*y**2. Let t = 12 + -17. Let p(v) = t*l(v) - 6*b(v). Calculate p(a(q)).
2*q**4
Suppose 0 = -c + 4*h + h - 17, -5*c + 2*h + 7 = 0. Let a(j) = 2*j - c*j + 3*j - 4*j. Let p(f) = -f**2. What is p(a(q))?
-4*q**2
Let q(h) = -3*h. Let f(d) = 12*d. Let r(i) = -35*i. Let w(k) = -17*f(k) - 6*r(k). Calculate q(w(a)).
-18*a
Let j(q) = 8*q**2. Let d(x) = -16*x**2. What is d(j(f))?
-1024*f**4
Let p(i) = 2*i. Let f(n) = -3*n**2 + 4*n - 4. Let b(v) = 2*v**2 - 3*v + 3. Let t(w) = -4*b(w) - 3*f(w). Calculate t(p(o)).
4*o**2
Suppose 4*t - 16 + 0 = 0. Let v(g) = 1 - 4 + 3 - t*g. Let x(o) = 3*o**2. Calculate x(v(s)).
48*s**2
Let x(d) = 5*d. Suppose 0 = g - 2*g + 2. Let q be (-4)/(-3) - g/(-3). Let z(v) = 4 - q*v + 0*v - 4. Determine z(x(p)).
-10*p
Suppose 5*j = j + 16. Let l(c) = -c - c - c - j*c. Let h(w) = -2*w. Determine l(h(i)).
14*i
Let o(h) = -2*h - 5. Let z(l) = -l - 2. Let m(x) = -2*o(x) + 5*z(x). Let j(y) = -3*y. Give m(j(f)).
3*f
Let w(s) be the third derivative of 0*s + 2*s**2 + 0*s**3 + 0 + 0*s**4 - 1/15*s**5. Let a(p) = -p. Determine a(w(q)).
4*q**2
Let u(a) be the third derivative of -a**5/12 - 2*a**2. Let v(t) = t**2. Give u(v(o)).
-5*o**4
Let s(z) = 20*z**2 + 2. Let f(k) = -5 - 1 + 6 - 2*k. Calculate f(s(i)).
-40*i**2 - 4
Let x(v) = v. Let r be ((-45)/24 - -2)*(-1)/(-3). Let z(p) be the third derivative of -3*p**2 + 0*p**3 + 0 + 0*p + r*p**4. Give x(z(i)).
i
Let r(h) be the third derivative of h**4/12 + h**2. Let u(t) be the third derivative of t**2 + 0*t + 1/12*t**4 + 0 + 0*t**3. Determine u(r(x)).
4*x
Let i(z) be the third derivative of -z**4/12 + z**2. Let j(l) = -7*l. What is j(i(q))?
14*q
Let w(h) = 1 - 8*h - 7 + 3*h - 3*h. Let g(s) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
178
What is 458004 to the power of 1/8, to the nearest integer?
5
What is the third root of 36464199 to the nearest integer?
332
What is the cube root of 792268 to the nearest integer?
93
What is 603125 to the power of 1/9, to the nearest integer?
4
What is 680914 to the power of 1/3, to the nearest integer?
88
What is the seventh root of 38012 to the nearest integer?
5
What is 4392681 to the power of 1/2, to the nearest integer?
2096
What is 196443 to the power of 1/2, to the nearest integer?
443
What is the ninth root of 1978857 to the nearest integer?
5
What is the square root of 5086101 to the nearest integer?
2255
What is the sixth root of 243873 to the nearest integer?
8
What is the square root of 214091 to the nearest integer?
463
What is the square root of 19059232 to the nearest integer?
4366
What is 53620 to the power of 1/9, to the nearest integer?
3
What is 41013 to the power of 1/3, to the nearest integer?
34
What is 940421 to the power of 1/9, to the nearest integer?
5
What is 82717 to the power of 1/2, to the nearest integer?
288
What is 2193557 to the power of 1/5, to the nearest integer?
19
What is the tenth root of 2424080 to the nearest integer?
4
What is 895515 to the power of 1/3, to the nearest integer?
96
What is 192479 to the power of 1/9, to the nearest integer?
4
What is 770802 to the power of 1/2, to the nearest integer?
878
What is 5276691 to the power of 1/4, to the nearest integer?
48
What is 129902 to the power of 1/6, to the nearest integer?
7
What is the fifth root of 5076291 to the nearest integer?
22
What is the square root of 1337738 to the nearest integer?
1157
What is the square root of 54299 to the nearest integer?
233
What is the third root of 16946 to the nearest integer?
26
What is the cube root of 15220010 to the nearest integer?
248
What is the tenth root of 1121647 to the nearest integer?
4
What is the square root of 1706200 to the nearest integer?
1306
What is the square root of 7351182 to the nearest integer?
2711
What is the third root of 153239 to the nearest integer?
54
What is 407301 to the power of 1/2, to the nearest integer?
638
What is 601267 to the power of 1/2, to the nearest integer?
775
What is the fourth root of 12104322 to the nearest integer?
59
What is 5774044 to the power of 1/3, to the nearest integer?
179
What is 380099 to the power of 1/2, to the nearest integer?
617
What is the cube root of 634195 to the nearest integer?
86
What is the fifth root of 179533 to the nearest integer?
11
What is the third root of 1566325 to the nearest integer?
116
What is the cube root of 1779719 to the nearest integer?
121
What is 30656809 to the power of 1/9, to the nearest integer?
7
What is 234416 to the power of 1/3, to the nearest integer?
62
What is the cube root of 316906 to the nearest integer?
68
What is the square root of 376560 to the nearest integer?
614
What is the ninth root of 75853 to the nearest integer?
3
What is 2857458 to the power of 1/3, to the nearest integer?
142
What is the tenth root of 487078 to the nearest integer?
4
What is the cube root of 1019371 to the nearest integer?
101
What is the cube root of 3730580 to the nearest integer?
155
What is the square root of 1388625 to the nearest integer?
1178
What is the eighth root of 8638710 to the nearest integer?
7
What is the third root of 71053 to the nearest integer?
41
What is the tenth root of 337234 to the nearest integer?
4
What is 2419369 to the power of 1/5, to the nearest integer?
19
What is 20560945 to the power of 1/10, to the nearest integer?
5
What is the square root of 561133 to the nearest integer?
749
What is 1648534 to the power of 1/9, to the nearest integer?
5
What is the square root of 6030959 to the nearest integer?
2456
What is 297 to the power of 1/3, to the nearest integer?
7
What is 168279 to the power of 1/2, to the nearest integer?
410
What is the fifth root of 161233 to the nearest integer?
11
What is 8647365 to the power of 1/2, to the nearest integer?
2941
What is 420096 to the power of 1/3, to the nearest integer?
75
What is the sixth root of 5481222 to the nearest integer?
13
What is 114781 to the power of 1/2, to the nearest integer?
339
What is 4284728 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 495392 to the nearest integer?
9
What is 34337058 to the power of 1/2, to the nearest integer?
5860
What is the eighth root of 377772 to the nearest integer?
5
What is 168544 to the power of 1/5, to the nearest integer?
11
What is 620749 to the power of 1/3, to the nearest integer?
85
What is 3314719 to the power of 1/2, to the nearest integer?
1821
What is the square root of 13679829 to the nearest integer?
3699
What is the tenth root of 788469 to the nearest integer?
4
What is 7811280 to the power of 1/2, to the nearest integer?
2795
What is 398211 to the power of 1/2, to the nearest integer?
631
What is 2860151 to the power of 1/2, to the nearest integer?
1691
What is 294419 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 5572277 to the nearest integer?
49
What is 369951 to the power of 1/2, to the nearest integer?
608
What is the eighth root of 1822240 to the nearest integer?
6
What is 168204 to the power of 1/4, to the nearest integer?
20
What is the eighth root of 443619 to the nearest integer?
5
What is the fifth root of 927494 to the nearest integer?
16
What is 7264943 to the power of 1/3, to the nearest integer?
194
What is 376803 to the power of 1/10, to the nearest integer?
4
What is 236285 to the power of 1/2, to the nearest integer?
486
What is 385041 to the power of 1/8, to the nearest integer?
5
What is 76362 to the power of 1/5, to the nearest integer?
9
What is 773708 to the power of 1/2, to the nearest integer?
880
What is 2265513 to the power of 1/2, to the nearest integer?
1505
What is 368018 to the power of 1/3, to the nearest integer?
72
What is 1097636 to the power of 1/5, to the nearest integer?
16
What is 906419 to the power of 1/3, to the nearest integer?
97
What is the cube root of 1719127 to the nearest integer?
120
What is the sixth root of 223270 to the nearest integer?
8
What is the square root of 1426319 to the nearest integer?
1194
What is the fifth root of 24419781 to the nearest integer?
30
What is the third root of 2352565 to the nearest integer?
133
What is the third root of 80388 to the nearest integer?
43
What is the ninth root of 336208 to the nearest integer?
4
What is 13073263 to the power of 1/5, to the nearest integer?
27
What is 481492 to the power of 1/2, to the nearest integer?
694
What is 26657253 to the power of 1/8, to the nearest integer?
8
What is 9534920 to the power of 1/2, to the nearest integer?
3088
What is 299723 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
out replacement from {j: 1, e: 1, t: 6, z: 3, y: 2}. What is prob of sequence ze?
1/52
Three letters picked without replacement from kgggggkgg. Give prob of sequence kkg.
1/36
Two letters picked without replacement from {i: 1, r: 3, x: 3}. Give prob of sequence rx.
3/14
Four letters picked without replacement from {p: 10, e: 2, i: 3, h: 3, b: 1}. Give prob of sequence piee.
5/7752
Four letters picked without replacement from {m: 2, h: 4, x: 2, y: 2, c: 1, w: 6}. Give prob of sequence hxcw.
1/1190
Three letters picked without replacement from {k: 3, r: 1, i: 6, h: 4, j: 1}. Give prob of sequence irh.
4/455
Four letters picked without replacement from vkvkvvvvkkvvkvvvvv. Give prob of sequence kkvv.
13/306
Calculate prob of sequence vh when two letters picked without replacement from {h: 2, r: 1, v: 8, y: 1, s: 8}.
4/95
Calculate prob of sequence qxjh when four letters picked without replacement from jshxhqh.
1/280
Calculate prob of sequence tfff when four letters picked without replacement from ffftttff.
3/28
Calculate prob of sequence sn when two letters picked without replacement from snnnsnsssqn.
5/22
What is prob of sequence rh when two letters picked without replacement from rrhrrrrh?
3/14
Four letters picked without replacement from xggxfxxxqqxxxgxxxgx. Give prob of sequence gggg.
1/3876
What is prob of sequence znjj when four letters picked without replacement from fzzznfjjfuq?
1/1320
Two letters picked without replacement from wwlcwylqyylylq. What is prob of sequence lw?
6/91
Three letters picked without replacement from ilbybibyyyliyyh. What is prob of sequence yih?
3/455
Two letters picked without replacement from {w: 5, l: 2}. Give prob of sequence ll.
1/21
Three letters picked without replacement from iifmifvimvwill. What is prob of sequence mvf?
1/273
Two letters picked without replacement from {t: 2, c: 15, n: 3}. Give prob of sequence nt.
3/190
What is prob of sequence tq when two letters picked without replacement from qdddqtqjqq?
1/18
Three letters picked without replacement from fpfrpfrrnfffprprpr. What is prob of sequence nnf?
0
Calculate prob of sequence gvnn when four letters picked without replacement from {o: 5, g: 6, c: 2, v: 1, n: 3}.
3/4760
Four letters picked without replacement from {o: 2, l: 4}. What is prob of sequence llll?
1/15
What is prob of sequence mf when two letters picked without replacement from mbjjebmmjmjbmf?
5/182
Two letters picked without replacement from {w: 7, q: 1, d: 1, o: 2, p: 1, y: 2}. Give prob of sequence yo.
2/91
What is prob of sequence slgs when four letters picked without replacement from gssgssglgsh?
1/99
Calculate prob of sequence fy when two letters picked without replacement from pyyyyqfqpyy.
3/55
Calculate prob of sequence ggg when three letters picked without replacement from {g: 16, w: 2}.
35/51
What is prob of sequence jr when two letters picked without replacement from dddrjdddjrjddrdddd?
1/34
What is prob of sequence xee when three letters picked without replacement from {e: 19, x: 1}?
1/20
Three letters picked without replacement from {x: 1, e: 6, g: 2, i: 1, c: 9, n: 1}. Give prob of sequence gxg.
1/3420
Calculate prob of sequence aa when two letters picked without replacement from {a: 2, d: 1, q: 2}.
1/10
Four letters picked without replacement from {h: 1, t: 1, a: 1, w: 1, l: 2, q: 8}. Give prob of sequence qwtl.
2/3003
What is prob of sequence odw when three letters picked without replacement from usouodnwnnudwdsu?
1/280
Calculate prob of sequence fzfd when four letters picked without replacement from jfzdfjzzffj.
1/220
Three letters picked without replacement from idddiqdqdiddqq. What is prob of sequence iqi?
1/91
Three letters picked without replacement from ncncnncnnnnnnn. Give prob of sequence ccc.
1/364
What is prob of sequence uaaa when four letters picked without replacement from {a: 8, o: 5, u: 5}?
7/306
Calculate prob of sequence tooo when four letters picked without replacement from ooopootoooooo.
3/52
What is prob of sequence pl when two letters picked without replacement from llclp?
3/20
Two letters picked without replacement from {u: 10, y: 10}. Give prob of sequence yu.
5/19
Two letters picked without replacement from {q: 1, i: 1, b: 2, j: 1, f: 2, u: 1}. What is prob of sequence if?
1/28
Calculate prob of sequence mg when two letters picked without replacement from gmmmgm.
4/15
Four letters picked without replacement from {j: 1, h: 1, o: 1, i: 3, t: 5}. Give prob of sequence hito.
1/528
Three letters picked without replacement from {k: 4, q: 2, z: 3, d: 1}. What is prob of sequence zkq?
1/30
Calculate prob of sequence kok when three letters picked without replacement from {o: 6, k: 7, q: 4}.
21/340
Calculate prob of sequence www when three letters picked without replacement from wwzwzwwzwwz.
7/33
Calculate prob of sequence jjkk when four letters picked without replacement from gjgkkjjjkj.
1/42
Calculate prob of sequence vv when two letters picked without replacement from vvvgnagrvqrrgvnrgnn.
10/171
What is prob of sequence qppq when four letters picked without replacement from {p: 7, q: 3, n: 1, y: 1}?
7/330
Calculate prob of sequence et when two letters picked without replacement from ttetetetteteteetee.
9/34
Four letters picked without replacement from yryyyrrkkuknynuuy. Give prob of sequence uryy.
9/1904
Four letters picked without replacement from fffffffzz. Give prob of sequence fffz.
5/36
What is prob of sequence zz when two letters picked without replacement from zzzzzzzzz?
1
Three letters picked without replacement from {n: 5, e: 9}. Give prob of sequence een.
15/91
Four letters picked without replacement from {g: 2, w: 4, c: 3}. What is prob of sequence gccw?
1/63
What is prob of sequence hhd when three letters picked without replacement from {h: 8, d: 6, c: 3}?
7/85
Two letters picked without replacement from khttkhtktktkhkf. Give prob of sequence kf.
1/35
Calculate prob of sequence ttc when three letters picked without replacement from ptpcl.
0
What is prob of sequence qmm when three letters picked without replacement from mqtmimqqieiimemgmmee?
7/380
Two letters picked without replacement from byttivg. What is prob of sequence gv?
1/42
What is prob of sequence wvww when four letters picked without replacement from wvww?
1/4
What is prob of sequence lel when three letters picked without replacement from etjvlltwtewjjj?
1/546
Four letters picked without replacement from fjcccoocoqcocxof. Give prob of sequence cjff.
1/3640
Calculate prob of sequence qc when two letters picked without replacement from {q: 6, p: 1, x: 1, c: 4, n: 3, y: 3}.
4/51
Two letters picked without replacement from unun. What is prob of sequence un?
1/3
What is prob of sequence kk when two letters picked without replacement from {m: 1, n: 3, f: 1, b: 4, k: 2}?
1/55
Two letters picked without replacement from meomdto. What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
x**2).
-16*x**4
Expand -3*l**2 + 4*l**2 + 3*l**2 + (-1 - l + 1)*(-12*l + 21*l - 9 - 6*l).
l**2 + 9*l
Expand (-40 + 40 + 10*s**4 + (0*s + 0*s + 4*s**2)*(0 - s**2 + 0))*(-s + 2*s + 3*s).
24*s**5
Expand (3*q - q + 0*q)*(-5 + 1 + 2) - 14*q - 6*q + 29*q - q + 3*q + 0*q.
7*q
Expand -y**5 + 0*y**5 + 3*y**5 + (-7*y**2 + 6*y**2 - 28*y**2)*(-2 + 2 - 3*y**3).
89*y**5
Expand (-5 + 5 - 22*a**2)*(-12*a + 4*a - 3*a).
242*a**3
Expand -43*p**3 - 87*p**3 + 123*p**3 + p**3 + p**3 - 3*p**3 - 2*p**3 + 4*p**3 - 3*p**3 + 2*p**3 - 2*p**3 + p**3 + (4*p + 0*p - 3*p)*(-p**2 + 2*p**2 + p**2).
-6*p**3
Expand (-r**2 + 5*r**2 - 3*r**2)*(-25 + 25 + 20*r**2)*(-r + 4*r + 5*r).
160*r**5
Expand 45 - 45 + 5*j + j**5 + (-4*j**4 + j**4 + 7*j**4)*(4*j + 0*j - 3*j).
5*j**5 + 5*j
Expand 22*w**3 - 14*w**3 - 2*w - 5*w**4 - 1 - 17*w**3 + (0*w**4 + 2*w**4 - 3*w**4)*(0 + 2 - 3).
-4*w**4 - 9*w**3 - 2*w - 1
Expand 3 - 3 - u**4 + (-5*u**2 + 4*u**2 + 2*u**2)*(-4*u**2 + 2*u**2 + u**2) + 3*u**2 - u**4 - 3*u**2 - 9*u**4 + u**4 + 5*u**4 + 0*u**4 + 2*u**4 - u**4.
-5*u**4
Expand -q**3 - 6*q**4 - q**3 + 5*q**4 - 2*q + (2*q**2 - 1 + 1)*(-q**2 - 4*q + 4*q) + 3*q**4 + 13*q**4 + 14*q**4.
27*q**4 - 2*q**3 - 2*q
Expand 7*l**4 - 1042*l**3 + 1042*l**3 + (0*l**3 - 5*l**3 + 2*l**3)*(-3*l + 9*l - 18*l).
43*l**4
Expand (1 + r**2 - 1)*(5 - r - 5) + (-r**2 + 11*r**2 - 4*r**2)*(-479 + 479 + r) + 0*r**3 - r**3 + 0*r**3.
4*r**3
Expand -y**2 - 6*y**2 + 3*y**2 + (2 + y + 3*y**2 + 1 - 7*y**2)*(5 + 0 + 1).
-28*y**2 + 6*y + 18
Expand 2*b**3 - 2*b**4 + 3*b**4 + 0*b**3 + (9*b - 2*b - b)*(6 - 6 + 18*b**3).
109*b**4 + 2*b**3
Expand (-f**3 + f**3 + f**4)*(196 - 82 + 7).
121*f**4
Expand (-7*w + 13 - 13)*(-3 + 0 + 1)*(12*w + 131 - 131).
168*w**2
Expand (-12*j - 12*j - 26*j)*(-25 + 25 - 3*j).
150*j**2
Expand (t**2 + 0*t**2 + 0*t**2 - 2*t**2 + t**2 + 3*t**2 + (-1 + 1 - t)*(2 - 2 - t) + 4*t**2 + 2*t**2 + 3*t**2)*(0*t - 2*t + 8*t)*(-3 - 2 + 3).
-156*t**3
Expand -3 - b + 3 + (-2 + 1 - 1)*(-3*b + 3 - 3) + (2 + 5 + 4)*(-1 - 2 + 1)*(-4*b + 0*b + 2*b).
49*b
Expand (10*w + 5 - 11*w + 8)*(5*w + 6*w - 16*w).
5*w**2 - 65*w
Expand (-x - x - 2*x)*(128 - 308 - 2*x + 91).
8*x**2 + 356*x
Expand (1 - 247*o + 675*o - 188*o)*(-2*o**3 - 3*o**3 + 4*o**3).
-240*o**4 - o**3
Expand (-w - 2*w + w)*(w**2 - 2 + 2) - 4*w**3 + 2*w**3 + 0*w**3 + 2*w**3 - 4*w**3 + 4*w**3 - 6*w**3 + w**3 + 4*w**3 - 34*w**3 + 5*w**2 + 35*w**3 - 3*w**3.
-5*w**3 + 5*w**2
Expand 2*f**4 + f**2 - f**2 - f**4 + f**2 - f**2 + (2 + 3*f - 2)*(-3*f**3 + 2*f**3 + 9*f**3).
25*f**4
Expand (-35*a**2 - 24*a**2 + 58*a**2)*(1 - 1 - 1)*(-3 + 2 + 0) - 2*a - 5*a**2 + 3*a**2 + 0*a.
-3*a**2 - 2*a
Expand (1 - 1 - h)*(-12 + 4 - 8) + 1 + 10*h - 5 + 2.
26*h - 2
Expand (2*v**3 - v**2 + v**2)*((2 + 1 - 12)*(-7 + 3 - 1) + (-3 + 3 + 1)*(-3 + 1 + 1)).
88*v**3
Expand -4*j**2 + j**2 + 0*j**2 + (4*j**2 + 0*j**2 - 3*j**2)*(-26 + 11 + 6 + (1 - 3 + 4)*(1 - 3 + 4))*(3 - 5 - 1).
12*j**2
Expand (165*h + 6*h**2 - 96*h - 84*h)*((-1 - 1 + 1)*(h + h - h) - 3 + 3 - 2*h).
-18*h**3 + 45*h**2
Expand (-4*k**2 + 2*k**2 + 4*k**2)*(-16 + 197 + 204 - 70).
630*k**2
Expand -6*t + 4*t + 4*t**5 + 0*t**5 + (-2*t**2 + 5 - 5)*(-4*t**3 + 3*t**3 + 3*t**3) + (0*t + t + t)*(-5*t**4 + 4*t**4 - t**4).
-4*t**5 - 2*t
Expand (644*c - 32610 + 32610)*(-5 + 5 + 2) - c + c - 2*c.
1286*c
Expand (5*a + 12*a + 12*a)*(-3*a - 2*a + 0*a)*(-7*a + 3*a - 4*a)*(2*a**2 + a - 3*a + a).
2320*a**5 - 1160*a**4
Expand (-24*w**3 + 4*w**3 + 2*w**3 - 2*w**3 + 3*w**3 - 2*w**3 + (-3 + w + 3)*(-1 - 2*w**2 + 1) + 5*w**3 - 4*w**3 + 6*w**3)*(-w**2 + 3*w**2 - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o = 1279.4 + -1279. Suppose 0 = 3*z - 7*z - 32. What is the smallest value in 3, z, o, 4?
z
Let o = 80 + -48. Let m = 14 - o. Let s = m - -21. Which is the second biggest value? (a) -1/10 (b) -5 (c) s (d) -0.3
a
Let o be 6 + -7 - 3/(-6). Let m = 11 - -36. Which is the second biggest value? (a) o (b) -0.2 (c) m
b
Let f = -90832 - -365483/4. Let h = f - 539. Which is the third smallest value? (a) h (b) -3 (c) -37
a
Suppose s + 4 + 0 = -3*n, -4*n = 4*s. Suppose 310*x - 780 = 150. What is the third biggest value in x, -18, s?
-18
Let h = 262/11 + -841/33. Which is the second biggest value? (a) h (b) 18 (c) -4
a
Let f = 176.5 + -172.5. Which is the second biggest value? (a) 2.15 (b) -4 (c) f
a
Let k = -252.33 + 244.33. Which is the biggest value? (a) -3 (b) -4/9 (c) k
b
Let j = -0.09 - -0.09. Let g = -20.791 + 47.791. What is the second smallest value in 2/9, g, 4, j?
2/9
Let b = 2002 - 2000. What is the second biggest value in 0.11, b, -1?
0.11
Suppose 144 = -2*h + 4*h. Let f be ((-3)/(-2))/(27/h). Let z = -6387 + 6385. Which is the third biggest value? (a) f (b) z (c) -0.14
b
Let u be (-2)/5*(-3092)/8. Let q = 155 - u. Let m be 26/36 + (45/(-10) - -4). Which is the second smallest value? (a) 3/4 (b) m (c) q
c
Let j = -2523 + 2522.6. Which is the third biggest value? (a) 17 (b) -0.5 (c) 5 (d) j (e) 1
e
Let s be 2/(-8)*(-72)/(-90). What is the fourth smallest value in s, 0, 0.9, -1, 3/7?
3/7
Let i = -12 - -20. Suppose 0 = -2*o - 4*z - 12 - 2, -3*o - 4*z - 11 = 0. Let p be (-91)/(-35) - ((-18)/o)/(-2). What is the smallest value in i, -3/5, p?
-3/5
Let y = 115/4879 - -3/119. What is the fifth smallest value in -1, 0.2, -2, y, -3?
0.2
Let t = 40 - 43. Let g be (-9 - -9)/(2 + -1) + 5. Which is the smallest value? (a) t (b) -2/7 (c) g (d) 2/3
a
Let j = -41461 + 41515. What is the third smallest value in -4, -1/6, j, 2?
2
Let w = 1916752/71 + -26996. What is the fourth biggest value in -2/9, -0.4, 0, w?
-0.4
Let i = -3 - 26. Let h = -2558.47 - -2558.37. Which is the fourth biggest value? (a) -2 (b) h (c) -4 (d) i
d
Let h = 4306.6 - 4307. Which is the smallest value? (a) 2/7 (b) h (c) 0.7 (d) 5
b
Let h be 2 + -4 - (-17845)/(-27). Let t = h + 663. Let x = -0.35 + 5.35. Which is the third smallest value? (a) t (b) -3 (c) x
c
Let w = -1 - -6. Suppose -3*o = o - 4*u - 8, -3*u = -5*o + 10. Let c = -1984738/23 - -86293. What is the biggest value in o, w, c?
w
Let o(x) = -3*x**2 + 6*x + 6. Let l be o(5). Let k = l - -193/5. Let y = -667 + 667. What is the second smallest value in k, y, -0.05?
-0.05
Let w = -1 - 1. Suppose -43 = 5*n + 3*t, 2*t = 3*n + 250 - 209. Which is the third smallest value? (a) w (b) 2 (c) n
b
Let y be ((-4)/114)/(846/(-54) + 16). Let k = -15 + 15.9. Let t = -0.6 + k. Which is the third biggest value? (a) -1 (b) 4 (c) t (d) y
d
Let l = -0.1 + -2.9. Let g be 0 + 1 + 18 + -22. Let j be (4/(-28))/(g + (3 - -1)). Which is the smallest value? (a) l (b) 2 (c) j
a
Let i = -134 + 130. Let v = -57 + 27. Which is the biggest value? (a) v (b) i (c) 0
c
Let g = -14/335 + 1103/2345. Which is the fourth biggest value? (a) g (b) -2 (c) 24 (d) -4
d
Let o = -0.12162 - -0.02162. What is the third smallest value in 0.2, -1/109, -0.5, -3, o?
o
Suppose -119*j + 540 = 16*j. Let w = 124 + -1370/11. Let o = 62/33 + w. Which is the third smallest value? (a) o (b) j (c) 0
b
Let y(i) = 175*i - 2971. Let k be y(17). What is the fourth smallest value in 230, -5, 0.2, k, -0.1?
k
Let r be (-1702)/407 + 4/22. What is the fourth biggest value in 4, r, 2, -1/32, -1?
-1
Let d be 2/((-3008)/6)*(-34)/51. Which is the third smallest value? (a) d (b) -2/7 (c) 2/7
c
Suppose 4 = -3*m - 2. Let w = 0.98 - 1.38. Let j be (-24)/16*4/(-9). Which is the third biggest value? (a) j (b) m (c) w
b
Suppose -2*r + 8 = -g - 0*r, 4 = g + 2*r. Let v be g*(1/10)/1. What is the second smallest value in 3/4, -7, 0, v?
v
Let r = 9.212 - 9.8. Let s = -0.068 - r. Let d = s + -0.02. What is the third biggest value in d, 9, 2?
d
Let i = 0.007 + -86.007. Let r = 81 + i. Let n = -0.5 + 0.3. What is the second biggest value in 0.4, 1/5, r, n?
1/5
Let f be (26*3/2)/(63/84). Let z = f - 25. Let h be 4/9 + 6/z. What is the fourth biggest value in 4, 2, h, 0.3?
0.3
Let g = -622.4 + 626.4. Let p = 0.11 - -5.89. Let o = 0 + 0.2. What is the fourth biggest value in p, g, o, 0.5?
o
Let j = -7.1 - -7.184. Let i = j - -4.476. Let o = -0.44 - i. Which is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
e second biggest value in 7, -0.1, -2/357707?
-2/357707
Which is the second smallest value? (a) 8 (b) -4 (c) 30 (d) -0.5
d
Which is the biggest value? (a) -1 (b) 0.7 (c) 2 (d) 2/21
c
Which is the second smallest value? (a) 0 (b) 5 (c) 299/4 (d) -1/7 (e) -3/2
d
Which is the fifth biggest value? (a) 0.1 (b) -2/79 (c) 20/13 (d) 1 (e) -0.2
e
What is the third biggest value in 0.3, 110682, 3?
0.3
What is the biggest value in 8587, 4, -4?
8587
What is the fourth biggest value in 2317, 0.2, 2/5, -0.6?
-0.6
Which is the smallest value? (a) 2/31 (b) 22 (c) -9 (d) -0.1 (e) 2 (f) -1/3
c
What is the second biggest value in 5, 2/351, -1?
2/351
Which is the smallest value? (a) 0.01 (b) -19 (c) 3 (d) 0 (e) 2/5
b
Which is the sixth biggest value? (a) 3 (b) -2/9 (c) 4 (d) -4/9 (e) -1/6 (f) 879/56
d
What is the fourth biggest value in 0, 4, 2, 50201?
0
What is the third smallest value in 0.0377, -0.01, 354?
354
Which is the fourth smallest value? (a) 1 (b) 4 (c) 0.02 (d) -41 (e) 95 (f) 2
f
What is the third biggest value in -0.3, 3, 2679, 2, 0, -10?
2
Which is the second smallest value? (a) -5/69 (b) -0.5 (c) 65
a
What is the fifth biggest value in 15.7, 0, 1/4, 1, -34?
-34
Which is the smallest value? (a) -2 (b) -0.5 (c) 0.1 (d) 1 (e) 18 (f) 2/7
a
Which is the fifth biggest value? (a) -2/9 (b) 3 (c) -5 (d) 0.0671 (e) 63
c
Which is the smallest value? (a) -1/13 (b) -2 (c) -1 (d) 76 (e) -4
e
Which is the fourth biggest value? (a) -0.025 (b) -0.048 (c) 2/3 (d) 3
b
What is the third smallest value in -0.064, -2/21, -420, -2?
-2/21
What is the second smallest value in -7, 189, 88, 1?
1
Which is the fourth biggest value? (a) 1 (b) 2/11 (c) -23 (d) -0.3 (e) 66
d
What is the fifth biggest value in -11, 4, -3/4, -360, -1?
-360
Which is the fourth biggest value? (a) -4 (b) 31 (c) 0.3 (d) -5 (e) 2/3 (f) -3/14
f
What is the third smallest value in 164, -4, 491?
491
What is the smallest value in 2, 2/17, -0.2, 55, 115?
-0.2
Which is the smallest value? (a) 7/228 (b) 2 (c) 0 (d) -1/6
d
Which is the smallest value? (a) -12 (b) 3 (c) 0.3 (d) 715 (e) 3/4 (f) -1/4
a
What is the fourth biggest value in 5, -23, 6, -3, 1/6?
-3
What is the fifth smallest value in 0.9, -0.3, -85, 2, 6?
6
What is the fourth biggest value in -1/6, -4, 122/11, -0.4, 0.4, -0.2?
-0.2
Which is the sixth biggest value? (a) 4 (b) -2/3 (c) 10 (d) -1/2 (e) -3 (f) -0.2252
e
Which is the smallest value? (a) -0.5 (b) -19.9 (c) 0.71
b
What is the fourth smallest value in 39, 1, 0.1, 29, -16, -0.2?
1
Which is the biggest value? (a) -2 (b) 1/3 (c) -5 (d) -2/7 (e) -7.8
b
What is the fourth smallest value in 0.013, 1/5, -26, 0.3?
0.3
What is the third smallest value in -16, 4, -109, 1/8?
1/8
What is the smallest value in 4/7, 3/5, -1.21, 12/5?
-1.21
What is the fourth smallest value in -5, -0.618, 8, -1, 32?
8
What is the second smallest value in 35, 2, -29, -2, -0.4?
-2
Which is the third smallest value? (a) -0.3 (b) 2/2881 (c) 2
c
Which is the second biggest value? (a) 3/7 (b) 0.2 (c) 1/6 (d) -1075 (e) -0.05
b
Which is the biggest value? (a) -0.383 (b) -0.2 (c) 0.01 (d) 5/2
d
Which is the biggest value? (a) -33/2 (b) -35 (c) -4 (d) -0.4 (e) 1 (f) 5
f
Which is the fourth biggest value? (a) -12 (b) 2/5 (c) -3 (d) -0.15 (e) 0
c
What is the second biggest value in 4/7, 2135, 0.5, -0.1?
4/7
What is the biggest value in -1/3, -2.8, 1, 0.4, 28?
28
What is the second biggest value in 1/2, 1/10, 0, 593.3?
1/2
What is the third smallest value in -1, 3, -4, -104?
-1
Which is the second smallest value? (a) -4 (b) 0 (c) 0.4 (d) -0.6 (e) 402 (f) 5
d
Which is the biggest value? (a) -83 (b) 0.756 (c) -2/9
b
What is the second biggest value in -180/11, -3, 0.2, -1, 3?
0.2
Which is the third biggest value? (a) -2/3 (b) -2839 (c) 0.2
b
What is the third smallest value in 4, 10, 6, 1, 1/6?
4
What is the second biggest value in 4, 17/3, 0.01, -2/9, -2?
4
Which is the second biggest value? (a) -851 (b) 0.1 (c) -1/2 (d) -1/4 (e) 0.5 (f) 0
b
What is the biggest value in -5, 0, 3, 4, 0.05, 366?
366
Which is the second smallest value? (a) -6359 (b) -0.5 (c) -10/7
c
Which is the biggest value? (a) 697/4 (b) 2/11 (c) 0.2 (d) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
t y = 21 + -20.1. Let r = -0.7 + y. Let m = 2 - 2. Put r, m, -2/3 in descending order.
r, m, -2/3
Let t(a) = a**2 + 4*a - 12. Let g be t(-6). Put -8, g, 5 in increasing order.
-8, g, 5
Let f = -0.07 - 0.13. Let c = 9 + -6. Put -2/13, c, f in descending order.
c, -2/13, f
Suppose n + 0*n + 7 = -3*g, -17 = -4*n + 3*g. Put 1, n, 3 in decreasing order.
3, n, 1
Let j be (-3 - (1 + -7))*-1. Sort -2, j, -4 in descending order.
-2, j, -4
Suppose 5*p - 2*p = -4*a + 13, p = -a + 4. Put 2, 4, a in descending order.
4, 2, a
Let b = 0.19 + -8.19. Let i = 11 + b. Put 2, i, 1/2 in decreasing order.
i, 2, 1/2
Suppose 0 = 7*r - r - 48. Sort -1, -4, r in decreasing order.
r, -1, -4
Let i = -183 - -183.1. Sort -1/5, 1, 5, i.
-1/5, i, 1, 5
Let s be 3 - (3 - -4) - 1. Sort -2, s, 2 in decreasing order.
2, -2, s
Let l = 22 - 22.2. Put 2, l, -1, 1/4 in increasing order.
-1, l, 1/4, 2
Let j = 5 - 6. Let q = -3.02 - -3. Let x = q + -1.98. Sort 1/4, x, j in decreasing order.
1/4, j, x
Suppose 5*s - 2 = 18. Suppose -n = 4*f - 13, -n = 5*f - 17 - 0. Let g be 39/(-9) - 1/n. Put g, -5, s in decreasing order.
s, g, -5
Let s be -1*15/10 - -1. Sort 6/5, s, -4/3 in increasing order.
-4/3, s, 6/5
Let z be 8/4 + -5 + (0 - -20). Sort 2, -2, z in ascending order.
-2, 2, z
Let m be (-36 - (3 - 6)) + 3. Let l be 36/m*(-15)/9. Sort 1, l, -3.
-3, 1, l
Let j(z) be the second derivative of -z**3/6 + 4*z**2 - 4*z. Let s be j(8). Sort s, -4, -3 in increasing order.
-4, -3, s
Let q be ((-1)/3 - -1) + (-22)/6. Sort 3, q, 1, 5.
q, 1, 3, 5
Let p(d) = 3*d**2 - 3*d + 2. Let c(z) = -2*z**2 + 2*z - 1. Let q(b) = 4*c(b) + 3*p(b). Suppose 0 = g + g - 4. Let n be q(g). Sort -5, -1, n in increasing order.
-5, -1, n
Let z(q) be the second derivative of -q**3/3 - 3*q**2 + q. Let y be z(-4). Sort 4, -2, y in descending order.
4, y, -2
Let u(w) = w - 1. Suppose -3*f + 45 = 6. Suppose o + f = 4*g, -4*o - g + 9 + 7 = 0. Let x be u(o). Sort -0.2, x, 0.1.
-0.2, 0.1, x
Let f be (0 - 2) + 1/2. Let j = 15923/182 - 1376/13. Let l = -37/2 - j. Put 1, l, f in ascending order.
f, l, 1
Let r(q) = -q**2 - 5*q + 11. Let d be r(-7). Sort 8, -1, d in decreasing order.
8, -1, d
Let p be (-2)/(-4)*4/(-4 + 2). Sort p, -3, 1, 2 in decreasing order.
2, 1, p, -3
Let u = -0.01 + 0.01. Sort -3/7, u, -1/2 in descending order.
u, -3/7, -1/2
Let w(x) = -x - 1. Let s be w(-2). Suppose -2 = -3*p + s. Suppose 0 = -t - 2 + p. Sort t, 1, -5 in increasing order.
-5, t, 1
Let r(g) = g**2 - 10*g - 3. Let i be r(11). Let k(t) = t**3 - 9*t**2 + 9*t - 7. Let s be k(i). Sort -5, s, -3 in descending order.
s, -3, -5
Let z = 0.28 - 0.27. Put -3, -1/2, z in increasing order.
-3, -1/2, z
Suppose 4*s - 1 - 19 = 0. Put -1, -4, s in descending order.
s, -1, -4
Suppose -2*c + c = 4*z, -3*c + 3*z = -30. Sort -0.5, c, -5 in decreasing order.
c, -0.5, -5
Let l = -88 - -83. Sort l, -4, 0 in decreasing order.
0, -4, l
Let l(b) = 2*b + 9. Let h be l(-7). Suppose -2*f - 5 + 1 = 0. Let o be (f - -1)/((-1)/2). Put o, -3, h in decreasing order.
o, -3, h
Let k = 19.23 - 11.3. Let u = k - 8. Sort -0.1, -3, u.
-3, -0.1, u
Let b = -0.048 + -3.052. Let u = -7 - -10. Let c = u + b. Sort c, 0.1, -5 in ascending order.
-5, c, 0.1
Suppose -m = -5*m - 2*i, 2*i - 1 = -5*m. Let v be (12/15)/((-66)/15). Put v, -0.4, m in increasing order.
-0.4, v, m
Let l = 2.1 + -2. Let q = -0.1 + l. Let b = 0.01 + -0.51. Sort b, 3/7, q.
b, q, 3/7
Let u = -13 - -8. Let l be 2/(-6) - 56/(-6). Suppose -4*c + c - l = 0. Sort c, 4, u in descending order.
4, c, u
Let w(k) = k - 11. Let t be w(10). Sort -3, 0, t.
-3, t, 0
Let c = -1.74 + 3.74. Put 0.1, c, -3 in decreasing order.
c, 0.1, -3
Let b = 3 - -2. Put b, -2/5, -3 in increasing order.
-3, -2/5, b
Let d = 25 - 22. Let p = -6 + 6. Put 2, d, p in ascending order.
p, 2, d
Let h = -7 - -3. Suppose 0 = -2*z + 5*z - 5*w + 8, 2*z + 6 = 4*w. Suppose -4*x = -2*n - 19 + 1, 2*x = 2*n + 10. Put z, h, x in descending order.
x, z, h
Let a = -59 + 60. Let v = 0.01 - 2.01. Sort 2, v, a in increasing order.
v, a, 2
Let j = 0.1 - -0.1. Let i = 0.03 + -3.03. Let o = -13 - -18. Sort i, o, j in decreasing order.
o, j, i
Let o = 3.7 - 4. Suppose -m + 4 = 3. Let d be -2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
56880
-240794078 * 0.3
-72238223.4
-0.048 * 11994
-575.712
What is the product of 44 and 2499345?
109971180
6174 times 2266
13990284
289.1 * 67.7
19572.07
-5*1824988
-9124940
What is 58 times 13.55013?
785.90754
What is the product of 0.2 and 0.0149515?
0.0029903
74168850 times 0.3
22250655
What is the product of -0.055452681 and 4?
-0.221810724
Work out -0.221984 * 709.
-157.386656
What is 24.7821 times -85?
-2106.4785
Calculate 1*375.92515.
375.92515
Calculate -0.059*1.441.
-0.085019
-63262.9 * -2518
159295982.2
What is 5 times 16813263?
84066315
What is 3 times 549746?
1649238
Work out -3.2828 * 364.
-1194.9392
-14 * 8724759
-122146626
31.1 times -0.664455
-20.6645505
23 * 5340994
122842862
Work out 6.14 * 101654.
624155.56
-78054 times 149.2
-11645656.8
-1.15 * 25.479
-29.30085
Calculate -296.5*-120906.
35848629
Work out -201837 * -1.15.
232112.55
Multiply 6839919 and -29.
-198357651
Product of 324141 and -439.
-142297899
What is 11563 times -30562?
-353388406
-222.9217 * 5.04
-1123.525368
Multiply -1.64 and 9.148.
-15.00272
Multiply -65874151 and 2.3.
-151510547.3
-1.762*-6323
11141.126
Product of -53 and 2081795.
-110335135
What is the product of 1436.39 and -0.948?
-1361.69772
Calculate 1.06765*0.076.
0.0811414
Multiply -1369.5 and -34.8.
47658.6
Multiply 807065 and -8.
-6456520
326 times -1.94
-632.44
-0.01586*482
-7.64452
Product of -0.28 and -807033.
225969.24
-0.03 times -762344
22870.32
Calculate 35434836*-0.07.
-2480438.52
Multiply -1288941 and -6.
7733646
Work out -0.1 * -2533811.76.
253381.176
-0.1 times 413485
-41348.5
Product of 570.14 and 108.
61575.12
-1 times -0.138073479
0.138073479
-11.53*0.2316
-2.670348
What is the product of 8.85 and 51606.4?
456716.64
-2010352*19.8
-39804969.6
Work out -0.13 * -290.15042.
37.7195546
Calculate 362.943*27.
9799.461
What is -104056 times 43?
-4474408
Calculate -0.055*-72.97185.
4.01345175
0.107527421*-2
-0.215054842
Product of -0.2 and -88333535.
17666707
Calculate -256*-34005.
8705280
-26192.7 * -0.121
3169.3167
-111.439*-264
29419.896
Multiply 288467.84 and 3.
865403.52
Calculate 1963912.6*0.28.
549895.528
1 * -4959210
-4959210
Calculate -1661458*0.072.
-119624.976
543990 * 14
7615860
Product of 0.11 and -3550842.
-390592.62
What is -1 times -5345.62?
5345.62
0.053 * -967802
-51293.506
Calculate 745*5127.
3819615
-6986582 times -0.28
1956242.96
Multiply 9312.5 and -77.
-717062.5
-0.0574291 * -0.01
0.000574291
Multiply -3 and -11825098.
35475294
-0.2 * -13280894
2656178.8
-4.3*-3722092
16004995.6
-3001548*0.2
-600309.6
What is -0.603 times -115751?
69797.853
Calculate 1224*-67.015.
-82026.36
What is 19 times -6819768?
-129575592
2.133 times 60689
129449.637
33519 * -155.23
-5203154.37
Multiply -136.33234 and 9.7.
-1322.423698
-1.49603*8
-11.96824
Calculate -34*-52999.
1801966
18.7946 times -0.5
-9.3973
Calculate 13355015*-0.4.
-5342006
2.672 times -11426
-30530.272
What is -58231 times 9.1?
-529902.1
Product of -5026 and -6510.
32719260
Multiply -1111 and -131948.
146594228
Work out 2.276 * -0.022.
-0.050072
Multiply -0.4 and -529289.
211715.6
6.4 * 844879
5407225.6
-31.81 * 0.117
-3.72177
Work out -41529.9 * 0.053.
-2201.0847
Product of 32 and -9714.1.
-310851.2
-668*-0.05514
36.83352
What is the product of -1245.7 and -1.6?
1993.12
What is -6055199 times 1?
-6055199
Calculate -13857055*-0.04.
554282.2
Multiply -0.195 and 19.1342.
-3.731169
Product of -25 and -4099946.
102498650
80254562 * -0.2
-16050912.4
What is the product of 2094 and -14311?
-29967234
Calculate 0.263514*-0.03.
-0.00790542
152210542*-0.1
-15221054.2
Multiply -0.08293 and 32660.
-2708.4938
0.1 times -24868055
-2486805.5
Product of -351112 and 36.
-12640032
Work out -0.063 * -1346547.
84832.461
Calculate -71006*-0.0737.
5233.1422
What is the product of 267 and -8.01868?
-2140.98756
Multiply 0.0319779 and 0.0513.
0.00164046627
Work out 3082233 * -12.
-36986796
0.3*-2.16444
-0.649332
Work out -0.02245 * 7467.8.
-167.65211
Work out 1836979 * 0.2.
367395.8
-86445*0.37
-31984.65
Multiply -2 and -260120.6.
520241.2
Work out 0.33 * 12311.
4062.63
14.32 * -42.409
-607.29688
-2504229*115
-287986335
Work out -0.17 * 4.30048.
-0.7310816
51.589 times -988
-50969.932
-2 times -0.051561805
0.10312361
Multiply -3 and 3220704.
-9662112
Product of 4.2 and -467959.
-1965427.8
3610666 times 1
36
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v. Is p a prime number?
True
Is (-262108)/(-16) + 18/(-24)*1 a prime number?
True
Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime?
True
Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime?
False
Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is g a composite number?
True
Suppose 0 = s - 3*h - 196, 3*h + 179 = 2*s - 216. Suppose 3*q - s = 284. Is q prime?
False
Is 6/24*28 - -2472 a prime number?
False
Let k = 1749 + -222. Let i = -820 + -240. Let d = k + i. Is d composite?
False
Let x = -293 + 670. Is x a composite number?
True
Suppose 28*k = 92311 + 472141. Is k a prime number?
False
Suppose 5*v = -3*d + 40, 5*d + 3*v = -v + 45. Suppose -277 - 903 = -4*y + 2*m, d*y + 5*m - 1505 = 0. Let f = -88 + y. Is f a composite number?
True
Suppose w + 4*q - 3385 = 0, -15*q = -w - 13*q + 3391. Is w a composite number?
False
Let c = 1710 + -949. Is c prime?
True
Suppose -23*c + 36079 = 5*i - 19*c, -3*i + 21677 = -5*c. Is i prime?
True
Suppose 15789 = 63*q - 100320. Is q composite?
True
Suppose 3*c = 86 + 7591. Suppose -5*p + 2*p = -c. Is p prime?
True
Suppose -2*k - 5*v + 35478 = k, k + 4*v = 11833. Is k a prime number?
True
Let n = 779 - -4554. Is n a prime number?
True
Let y = -72056 - -127219. Is y a composite number?
False
Let f(p) = -2*p**3 - 23*p**2 - 20*p - 165. Is f(-16) a composite number?
False
Is (6 + 25/(-4))*-18188 prime?
True
Let g(v) = -273*v + 295. Is g(-16) composite?
False
Suppose -3*h - 173 = 4*w + 79, -5*h = 3*w + 178. Let j = w + 23. Let a = 64 + j. Is a composite?
True
Let l(x) = -2*x - 2*x**2 - 7*x - 4 + x**2 + 2*x. Let g be l(-10). Let a = g + 89. Is a a prime number?
False
Let q = 28 + -32. Is -2 + 5 - 304/q composite?
False
Let f(c) = 85*c**2 - 13*c + 17. Is f(-9) composite?
False
Suppose 8*l + 4066 = 6*l. Let b = -994 - l. Is b a composite number?
False
Let u = 18 + 4. Is (148/8 - 0)*u a composite number?
True
Is (-3389)/(-2 - (1 - 2)) composite?
False
Suppose 9*p - 14018 = 13963. Is p composite?
False
Suppose -3*s - 6*s + 0*s = 0. Suppose -3*b - 3*k + 808 = 2*b, s = 5*b - 2*k - 803. Is b composite?
True
Suppose -17*v - 85 + 2108 = 0. Is v a prime number?
False
Suppose -y + 187 = -2*y. Let t = 553 - 289. Let h = y + t. Is h composite?
True
Let h(u) = 533*u + 21. Suppose -2*a - 12 + 20 = 0. Is h(a) prime?
True
Is 20/(-220) - 325920/(-11) a prime number?
True
Suppose 2*x - 3*w - 14 = -0, 4*x - 8 = -4*w. Suppose x*d - 2*s - 2*s = 452, 4*d - 431 = -3*s. Is ((-34)/4)/((-11)/d) a prime number?
False
Is (45/12 + -4)/(4/(-98528)) composite?
True
Suppose 8 = -2*r - 4. Let o = -2 + r. Is 382*(-3 - 28/o) composite?
False
Let d(q) = 4*q + 6. Let i be d(-4). Let z = 16 + i. Is (-4)/z*(-5667)/2 prime?
True
Suppose -39*l = -26*l - 565721. Is l a composite number?
False
Let p(o) = -223*o + 49. Is p(-34) composite?
True
Let l be (9732/(-30))/((-4)/10). Suppose -2*n - 5*w + 3388 = l, -5*n - 5*w + 6450 = 0. Is n composite?
False
Let y be -6 + (-9)/3 + -1. Let i = 137 + y. Is i a prime number?
True
Let j = -3464 - -6391. Is j a composite number?
False
Let u = 19706 - 11872. Is u a prime number?
False
Suppose -10 = -13*r + 18*r, 2*f = r + 73048. Is f composite?
False
Let k(h) = -8*h**3 + 5*h**2 + 12*h + 88. Is k(-7) a prime number?
False
Suppose 4 = -5*h + h. Let i be -3 - (h - (-4)/(-1)). Suppose 0 = v - i*v + 413. Is v a composite number?
True
Let j(u) = 570*u - 7. Let n(p) = -4*p - 5. Let k be n(3). Let a = 19 + k. Is j(a) a composite number?
True
Let x(c) = 57*c**2 - 4*c - 10. Is x(3) a composite number?
False
Let v(i) = 2*i**2 + 4*i + 3. Let d be -4*((-28)/8 - -3). Let h(m) = -m**3 + m**2 + m. Let p be h(d). Is v(p) a composite number?
False
Let f(n) = n**2 + 2*n + 14633. Is f(0) a composite number?
False
Let r be 2/(-3 - 2102/(-700)). Suppose 0 = 4*o + 5*k - 1327, 1997 = 4*o - 5*k + r. Let b = o + 409. Is b a composite number?
True
Suppose 61*n = 54*n + 111013. Is n a prime number?
True
Let q(r) = r. Let d be q(9). Let p = d - 5. Suppose -p*y = -82 - 66. Is y a prime number?
True
Let v(z) = -19*z**3 + 5*z**2 - 2*z + 2. Suppose -x = 3*x - 20. Let f(d) = 38*d**3 - 9*d**2 + 4*d - 3. Let p(j) = x*v(j) + 3*f(j). Is p(2) composite?
False
Let v(j) = 2*j**2 - 15*j + 19. Suppose -3*q = -q - 32. Let t be v(q). Is (t/6)/(5/70) a prime number?
False
Let n = -1 + 3. Let g = -96 + 207. Suppose -149 = -2*j + n*h + g, 3 = -h. Is j a composite number?
False
Suppose 5*v - 10162 = 37843. Is v a composite number?
False
Let i = 37 + -37. Suppose 5*a - 1162 = -4*b + 3*a, i = 3*b + a - 874. Is b prime?
True
Let p(r) = 7*r**3 + 16*r**2 + 9*r + 3. Is p(4) composite?
False
Suppose 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
ding order.
8, h, 0, -0.3
Let h = -1788 + 1798. Sort h, 0.1, -7.
-7, 0.1, h
Let h(i) = i**3 + 6*i**2 + 5. Let c be h(-6). Suppose 14*o + 2*o = -48. Sort c, 3, o, 1 in ascending order.
o, 1, 3, c
Let y = -702 + 5613/8. Put -2, -0.1, y, 2/13 in descending order.
2/13, -0.1, y, -2
Let q be 22/(-3)*(16/(-2) + 5). Let y(z) = z**3 - 22*z**2 + 3. Let m be y(q). Put m, 9, -1/3, -2/7 in descending order.
9, m, -2/7, -1/3
Let h(x) = x. Let q be h(-1). Let b(d) = 2*d + 12. Let v be b(7). Let r = v - 25. Sort q, r, -11.
-11, q, r
Let n be ((-513)/38)/(15/20). Sort 0, n, -22 in descending order.
0, n, -22
Let i be ((-10)/52)/(3/10). Let r = 4723/13 - 363. Let g = i + r. Sort g, 3/8, -8 in ascending order.
-8, g, 3/8
Let g = 43 - 43.24. Let d = 0.16 - g. Sort d, 1/3, -0.5.
-0.5, 1/3, d
Let v(q) = 7*q**2 - 2. Let c be v(1). Suppose -4*l - 16 = 0, 0 = -0*j + 4*j + 3*l + 12. Suppose 3*b + j*b = -9. Put 3, b, c in increasing order.
b, 3, c
Let i = 2272601/17165 + 9/3433. Let u = 133 - i. Let c = 11 - 16. Put u, -0.1, c in descending order.
u, -0.1, c
Suppose -2*j - 2*j - 3*v = 9, -2*j + 13 = 5*v. Let u = j + 6. Suppose -3*z + 15 = -u*z - 3*i, 2*i = -2*z + 30. Sort z, 2, -5 in decreasing order.
z, 2, -5
Let m(u) = u**3 - 8*u**2 + u - 6. Let w be m(8). Let p = w + -7. Let j(s) = -s**3 - 8*s**2 - 6*s + 6. Let v be j(-7). Put 4, v, p in descending order.
4, v, p
Let a = 712.2 + -712. Put 0, a, -40 in decreasing order.
a, 0, -40
Let b = 169 + -173. Sort -4/5, 8, b.
b, -4/5, 8
Let a = 12 - 9. Suppose a*w + 2*w = 0. Suppose 0 = h + 5*z - z - 11, 3*z = -4*h - 8. Sort w, h, 2 in increasing order.
h, w, 2
Let m = -18 - -20. Let v be (m - 0) + 17 + 0. Let d = v + -16. Sort -4, d, -3 in ascending order.
-4, -3, d
Let d be ((-2)/(-7))/(15 - 728/49). Sort 3, d, -3 in decreasing order.
3, d, -3
Suppose -15*i - 4 = -2*j - 17*i, -3*i - 9 = 0. Put j, 174, 0 in ascending order.
0, j, 174
Let y be 8/(-14) - (-121)/77. Let h = -24 - -14. Let o = -9.3 - -9. Sort o, y, h in descending order.
y, o, h
Let r(d) be the first derivative of -d**3/3 + 6*d**2 - 20*d + 16. Let g be r(10). Sort -1, 8, g in descending order.
8, g, -1
Let c = -0.0562 + 0.3562. Sort 4, -5, 9, c in descending order.
9, 4, c, -5
Let g = -0.3 + -1.7. Let o = -0.09 + -0.91. Put -0.3, g, o in descending order.
-0.3, o, g
Let f = -27.9 + 22.9. Sort f, 5, 7 in decreasing order.
7, 5, f
Let n be (-1 - 3)/(-4) - -1. Let q be -1 + (2 - n)/3. Put 1, -5, q in increasing order.
-5, q, 1
Let s be (4 - 1) + ((-66)/(-36))/(-1). Let n = 23/21 - s. Let v = 3 - 2.9. Put v, -4, n in increasing order.
-4, n, v
Let q = -8 - -13. Put 0, 4, q in increasing order.
0, 4, q
Suppose 76 - 120 = 11*x. Sort -1, x, -5, 18 in decreasing order.
18, -1, x, -5
Let p = 1389 + -1386. Suppose 2*u - 7*r = -3*r - 28, 3*u - r + 17 = 0. Sort p, 4, u, 5 in ascending order.
u, p, 4, 5
Let g = 3251/4 - 812. Let q = -2 + -1. Put q, g, 0.1, -5 in descending order.
g, 0.1, q, -5
Let m = -13.7 + 11. Let z = 20.3 - m. Let c = z - 23.1. Put c, -4, -0.4 in ascending order.
-4, -0.4, c
Suppose 72 = -14*m + 114. Put -1, m, 5 in decreasing order.
5, m, -1
Let f(p) = p**2 - 2*p - 4. Let s be f(4). Let d(l) = l**3 + l**2 - l - 2. Let v be (-2 - -3)/(3/(-6)). Let q be d(v). Sort 2/5, s, q.
q, 2/5, s
Suppose 2 + 8 = 2*v. Suppose 2*m - r = -2, 1 = -v*m + r - 4. Let b = 0.64 - 4.64. Sort -5, b, m in decreasing order.
m, b, -5
Suppose 5*k + 29 - 9 = 0. Let p(i) = -i**2 + 3*i - 6. Let m be p(5). Let u be 19/(-7) - m/(-56). Sort u, 0, k in decreasing order.
0, u, k
Let f = 219/7 + -31. Put -1/60, f, 2, 0.3 in descending order.
2, 0.3, f, -1/60
Let u(s) = 2*s**3 - 8*s**2 - 6*s - 5. Let p be u(5). Suppose -3*j + 0*m - p = 2*m, -18 = j + 5*m. Let a = 4 - 4. Put j, a, 1 in ascending order.
j, a, 1
Let d be 35/14*(16/(-10) - -2). Let q be (6/2 - d) + 3. Let j be (-2)/(-5) + (-54)/10. Sort q, 2, j in decreasing order.
q, 2, j
Let k(i) = -47*i - 43. Let a be k(-1). Sort 2, -5, a in ascending order.
-5, 2, a
Suppose -169 = -21*d - 1303. Sort 0.2, d, 3/2, -0.4.
d, -0.4, 0.2, 3/2
Let p be (-6*(-6)/(-12))/(-1). Sort -4, p, 5, 2 in ascending order.
-4, 2, p, 5
Let a be (6/(-24))/((-2)/(-4)). Let d = 9 + -10. Sort a, 1/9, d in ascending order.
d, a, 1/9
Let q be
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2)/2)
-3/7
Calculate 22/4 - (-42)/(-7).
-1/2
(-46)/(-69) - (-5)/(-3)
-1
What is (-25)/(-10)*36/(-30)?
-3
Calculate 61 - 56 - (1 - -9).
-5
Evaluate (-7)/((-14)/4)*(8 - 6).
4
Evaluate ((-4)/(-2) + 1)/(22 - 19).
1
Evaluate (-45)/(-55) - (-6)/33.
1
What is the value of (-513)/(-63) - 2/14?
8
Calculate -3 - (-15)/6*(-12)/(-15).
-1
Evaluate (-62)/(-14) - 180/420.
4
Evaluate -1 + -2 + 2 + -4.
-5
Calculate -1 - (-64)/(-12) - (-3)/9.
-6
What is 4/(-5) + 64/(-20) + 5?
1
What is the value of (28/10)/(130/(-325))?
-7
Evaluate -3 + 11/(-7) + 5.
3/7
What is the value of (-21)/(-14)*(-16)/(-4) + -1?
5
2/(-9)*(5/2 - 1)
-1/3
What is -2 + 17/(-4) - 29/(-116)?
-6
((-51)/(-45) + -1)*81/(-54)
-1/5
Calculate 96/(-189) + (-4)/(-18).
-2/7
5/(75/78) + -6
-4/5
What is (-50)/35 + (-18)/(-42)?
-1
What is (-6)/15 + 4/(-140)?
-3/7
What is the value of (-3)/(-2)*-2*(-3430)/1470?
7
3/((5 - 3)/(-4) - 7)
-2/5
What is the value of (30/12)/((-6)/4)?
-5/3
(-24)/14*1*(-35)/10
6
Evaluate 2 - 1 - (-1 - 10/(-3)).
-4/3
What is the value of -2 + 1 + (3 - 4)?
-2
Calculate 1 + 3 - 0*4/16.
4
What is (30/(-9))/(0 + 2/3)?
-5
What is the value of (-40)/(-56)*4/(-10)?
-2/7
Calculate 288/(-120)*(-5)/3.
4
What is the value of (0 + (-3)/4)/((-18)/72)?
3
3*(26/(-3) - -8)
-2
((-38)/42 - 8/(-14)) + 0
-1/3
Evaluate (-8 - 0)*(-3 - -2).
8
What is (35/5 + -10)*-2?
6
Evaluate -8 + (-7 - (-8 + -4)).
-3
72/8 - 335/35
-4/7
What is the value of (-2)/9 + (8 - 496/36)?
-6
28/12 + (0 - 1/3)
2
What is (-35)/15 - 684/(-270)?
1/5
What is 3*(-4 + 20/6)?
-2
Evaluate (-8)/2 + -5 + 10.
1
(15/(-6) + -2)*8/(-12)
3
Evaluate 1 + ((-9)/(-12) - 13/(-4)).
5
Evaluate 9/(540/64) - 20/50.
2/3
Evaluate (-8 + (-194)/(-24))/((-2)/(-4)).
1/6
What is the value of 170/(-1071)*(-3)/(-5)?
-2/21
(2*(-3)/18)/((-217)/372)
4/7
What is (-2)/(-3)*12/(-24)?
-1/3
Evaluate ((-10)/6)/((-15)/12).
4/3
What is the value of 39/6 + (-81)/54?
5
What is 1/(-2) - 1*(12 + -13)?
1/2
Calculate ((-1)/(-2))/(3/(-12)) - -3.
1
What is the value of 204/119 - 4/(-14)?
2
-3*2*(-4)/6
4
Evaluate -3 - ((6 - 0) + -7)*1.
-2
Evaluate -6 - (2/(6/(-9)) + 0).
-3
What is the value of 2 - 24/64*5?
1/8
Evaluate -6 + ((-783)/(-45) - 11).
2/5
What is (-2)/7*2*21/30?
-2/5
Calculate (-16)/32 - ((-11)/(-2) - 3).
-3
What is the value of 0*(-5)/(-25) + -1?
-1
Calculate (2 + -1 - 1)/(31 - 32).
0
Evaluate 1*15/((-45)/(-6)).
2
Calculate (-4 + 3)*3*(-4)/4.
3
(-74 - -75)/(1/3)
3
What is 2/(-2)*(1 + (-4 - -5))?
-2
Calculate (6/(-10))/(3*(-4)/(-60)).
-3
Evaluate (-21)/(-10) + 3 + (-54)/15.
3/2
Evaluate (-20)/(-168) + 10/(-35).
-1/6
What is 4/(-10) - (-10)/(600/54)?
1/2
What is ((-6)/(-12))/(3/36)?
6
What is 25/90 - (14/18 + -1)?
1/2
What is -2 + 34/14 + 3915/(-609)?
-6
What is ((-1 + 1)*3/(-9))/3?
0
What is 25*16/80 - (-30)/(-2)?
-10
What is 5/(-2) - 425/(-50)?
6
18/(-15) + (-114)/(-95)
0
Evaluate (-36)/24 + 0 + 2.
1/2
((-190)/(-20) - 9)/(3/(-6))
-1
What is the value of 36/22*((-88)/(-24) + -4)?
-6/11
Evaluate 464/(-6264) + 40/54.
2/3
What is the value of (-3 - (-5 - 2))/(-1)?
-4
((-66)/55)/(6/(-15))
3
Evaluate 6 + (-14)/10 + 46/(-10).
0
12*(-12)/(-18) + -8
0
What is 3/((-8)/((-96)/(-18))) + 3?
1
5/(1800/64) + 4/(-10)
-2/9
Evaluate (-2 - ((-70)/(-4))/(-7))*0.
0
What is 3 + (-1 - (-15)/(-7))?
-1/7
Evaluate 45/114 + (-3)/6.
-2/19
Calculate 1/(3/(-147)*-7).
7
What is 5/(-3)*(7 - (-4 - -8))?
-5
Calculate (7/(14/(-12)) - -4)/(-8).
1/4
Evaluate 4*(-4)/6*(-147)/(-196).
-2
Calculate ((-20)/(-50))/((-3)/15).
-2
What is 6/(-21) - (-1)/(7/(-33))?
-5
Evaluate (-3)/(-12) - (81/(-60) + 2).
-2/5
(26/((-1248)/36))/((-18)/16)
2/3
Calculate (-7)/(-21)*(-3 + 3).
0
Evaluate -2*(6/(-2) - (-19)/6).
-1/3
Evaluate 7/(-21) - (-200)/24.
8
(-325)/390 + (-2)/12
-1
((-4)/(-140))/(-3 + (-16)/(-5))
1/7
What is (4/(-40))/(((-8)/(-30))/2)?
-3/4
What is (2/(-4))/((-14)/(-56))?
-2
What is the value of (4/(-4))/((7/(-3))/(-7))?
-3
(3 + (-44)/12)/(24/(-18))
1/2
What is the value of 2*(-2)/(-56) - 966/(-196)?
5
Calculate -5 - (6/(-2) + -7).
5
What is the value of (3/90)/(6 + (-210)/36)?
1/5
Calculate (-2)/(51/(-6) - -11).
-4/5
What is 7613/(-3972) - 2*(1 + -2)?
1/12
(16/(-84))/(4 + -2)
-2/21
(4/3)/((-14)/21)
-2
What is 14/(-4 - 3) + (-36)/(-17)?
2/17
What is the value of (4 - -2)*(3 + (-87)/30)?
3/5
What is the value of ((-72)/63)/(-3 - 38/(-14))?
4
What is -1 + (12/(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
n(k) = -10*k - 14. Let h(f) = -14*f - 30. What is 2*h(l) - 5*n(l)?
22*l + 10
Let w(g) = -17*g**2 - 3*g + 755. Let t(h) = -4*h**2 - h. Calculate 4*t(x) - w(x).
x**2 - x - 755
Let s(x) = 11*x**2 + 6*x + 3. Let z(n) = -n**2 + 2*n - 2. Calculate -s(t) - 4*z(t).
-7*t**2 - 14*t + 5
Let u(y) = -85*y**2 - 25*y + 25. Let k = 88 - 63. Let g(v) = 14*v**2 + 291 - 160 + 2*v - 135 - 4*v + 6*v. What is k*g(o) + 4*u(o)?
10*o**2
Let d(g) = -g. Let j(o) = -2*o**2 + 33*o - 142. Let m be j(8). Let c(i) = -12*i - 1. Determine m*d(x) + c(x).
-6*x - 1
Let g = -10 - -6. Let p(a) be the second derivative of a**4/6 + 2*a**3/3 - 2*a**2 - a - 1601. Let q(n) = -n**2 - 3*n + 3. Calculate g*q(v) - 3*p(v).
-2*v**2
Suppose 293*n = -43382 - 3791. Let g(o) = -2047*o + 161. Let t(i) = 64*i - 5. Determine n*t(m) - 5*g(m).
-69*m
Let u = -113 - -124. Let p(i) = -16*i**2 + 11*i + 6. Let g be (-9)/(-2) - 6/12. Let a(s) = 3*s + 3*s**2 - s - 1 - g*s. What is u*a(z) + 2*p(z)?
z**2 + 1
Let t(r) = 1161*r**2 + 0*r**3 - 1167*r**2 - 5*r**3. Let j(x) = 9*x**3 + 11*x**2. What is -3*j(p) - 5*t(p)?
-2*p**3 - 3*p**2
Suppose 2 = 4*d - 6, 218 = -3*q - 2*d. Let m = 73 + q. Let v = 8 + -12. Let g(x) = x**2 - 1. Let o(u) = -3*u**2 + 2. What is m*o(a) + v*g(a)?
-a**2 + 2
Let f(q) = 16*q**3 + 4*q**2 + 29*q - 2. Let l(z) = -17*z**3 - 6*z**2 - 28*z + 3. Give -3*f(d) - 2*l(d).
-14*d**3 - 31*d
Let q(v) = -3*v**3 - 13*v**2 + 3*v - 3. Let w(o) = -o**3 - 6*o**2 + o - 1. Suppose -2*n = 4*i + 18, -2*i - 12 = 2. Calculate n*w(b) - 2*q(b).
b**3 - 4*b**2 - b + 1
Let f(n) = -1016*n + 35. Let b(q) = -1017*q + 30. Determine 7*b(s) - 6*f(s).
-1023*s
Let j(m) = -3*m - 10. Let v(k) = 1886*k + 7380. What is -1476*j(o) - 2*v(o)?
656*o
Let f(t) = 4*t**3 + 5*t**2 - 1 - 2*t - 3*t - 3*t**3. Let x(i) = -i**2 + i + 1. Let v(a) = 2*a**3 - 4*a**2 - 4*a + 5. Let h be v(0). Give h*x(o) + f(o).
o**3 + 4
Let p(b) = 16*b**2 + 68*b - 5. Let m(d) = -16*d**2 - 89*d + 5. Let a(n) = -3*m(n) - 4*p(n). Let w(f) = 17*f**2 + 6*f - 6. Calculate 6*a(l) + 5*w(l).
-11*l**2
Let g be 4/48*-4 + (-146)/(-6). Suppose -122*u - g = -130*u. Let y(s) = 8*s + 2. Let q(r) = -9*r - 3. Determine u*q(l) + 4*y(l).
5*l - 1
Suppose -4*c + 579 = 4*j + 547, 2*c + 20 = 2*j. Let p(a) = -10*a. Let z(n) = -40*n. What is j*p(q) - 2*z(q)?
-10*q
Suppose 1231 - 785 + 1639 = 695*g. Let a(c) = -4*c**2. Let i(l) be the second derivative of -5*l**4/12 - 2*l. What is g*i(s) - 4*a(s)?
s**2
Let n(i) = 20*i + 6*i + 11813*i**2 - 1 - 11816*i**2 - 7*i. Let l(v) = 2*v**2 - 10*v + 1. What is 5*l(b) + 3*n(b)?
b**2 + 7*b + 2
Let a(q) = -2*q**2 + 16. Let f(y) = 38. Let m(k) = -23. Suppose -3*g + 2*g + 7 = -n, -13 = -3*g - n. Let x(v) = g*m(v) + 3*f(v). Determine -3*a(h) - 48*x(h).
6*h**2
Let l(g) = 10*g**3 - 2*g**2 + 16*g + 4. Let n(u) = -2*u**3 + u**2 - 2*u - 2. Determine -2*l(c) - 4*n(c).
-12*c**3 - 24*c
Let x(z) = -3*z - 1. Let s(q) = -11*q - 8. Determine -s(o) - 2*x(o).
17*o + 10
Suppose -4*o = 4*k - 132 + 72, 4*k - 6*o = -10. Let w(c) = -27*c**3 - 5*c**2 - 3*c + 5. Let n(y) = -41*y**3 - 8*y**2 - 5*y + 8. Give k*w(a) - 5*n(a).
-11*a**3 + a
Let c(y) = 15*y + 65. Let g(l) = 6*l. Let d(w) = 34*w - 8. Let f(j) = d(j) - 6*g(j). Calculate -3*c(x) - 25*f(x).
5*x + 5
Let n(g) = 1. Let l(y) = -3*y - 5. Let m(x) = 22*x + 40. Let h(a) = -15*l(a) - 2*m(a). Give h(q) - 5*n(q).
q - 10
Let o(n) = n**3 - n**2 + n + 1. Let h(c) = -4*c**3 + 3*c**2 - 6*c - 5. Let p be 26 - 35 - 4/(-1). Calculate p*o(i) - h(i).
-i**3 + 2*i**2 + i
Let c(h) = 22. Let f(v) = -59*v - 127. What is -5*c(u) - f(u)?
59*u + 17
Let k(t) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
1*c. Let a(x) = 29*x**3 - 9*x**2 - 23*x + 6. Let m(n) = -a(n) + 3*u(n). What is the second derivative of m(q) wrt q?
-138*q + 12
What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y?
6*y - 778
Let f(d) be the first derivative of -5*d**5 - 21*d**4/4 - 3425*d**3/3 - 703. Find the third derivative of f(v) wrt v.
-600*v - 126
What is the third derivative of -698*c**2 + 22*c**3 + 91*c**2 + 57*c**4 + 8*c**3 - 204*c**2 wrt c?
1368*c + 180
Let w be 160/140*14/4. Find the first derivative of -103 + 4*d**2 - 238*d**4 + 709*d**4 - 238*d**4 - 232*d**w wrt d.
4*d**3 + 8*d
Let u(f) be the second derivative of 3*f**5/5 - f**4/12 + 229*f**3/3 - 1282*f. Find the second derivative of u(w) wrt w.
72*w - 2
Suppose -1888 + 7022 = 34*t. What is the second derivative of -28*x + 44*x - 10*x**3 + t*x + 2*x**2 wrt x?
-60*x + 4
Let p(o) be the second derivative of 1/6*o**3 - 3 + 3/2*o**2 + 10/3*o**4 + 2*o + 3/20*o**5. Find the second derivative of p(i) wrt i.
18*i + 80
Let m be 18/14 - 96/(-56). Let q(h) be the first derivative of 2*h + 0*h**m - 18 + 0*h**2 + 13/5*h**5 + 0*h**4. Find the first derivative of q(a) wrt a.
52*a**3
Let t be ((-12)/5)/(-2 - (-74)/40). What is the first derivative of 397*f**4 + 2*f - 399*f**4 + 18 + t - 22*f wrt f?
-8*f**3 - 20
Let o(d) be the first derivative of d**6/6 + 337*d**5/5 + 2*d**3/3 - 39*d**2/2 - 2*d + 2752. What is the second derivative of o(a) wrt a?
20*a**3 + 4044*a**2 + 4
Let j(f) be the third derivative of -107*f**4/2 + 415*f**3/3 - 4*f**2 + 38. Differentiate j(x) wrt x.
-1284
Let n(y) be the second derivative of 1083*y**4/4 - 12*y**3 - y**2/2 - 5082*y. Find the second derivative of n(b) wrt b.
6498
Let x be 18/48 - 85/(-8). Let s(z) = 55*z + 4. Let q be s(4). Find the second derivative of -q + 224 + x*p + 21*p**2 wrt p.
42
What is the derivative of -49 + 47*r**4 + 335643*r**3 - 335643*r**3 wrt r?
188*r**3
Let d(f) be the third derivative of -59/120*f**6 + 0*f**3 + 0 + 0*f**5 - 3*f**2 - 19*f - 49/12*f**4. Find the second derivative of d(s) wrt s.
-354*s
Suppose 3*c = 5*s + 233 + 11, c - 3*s = 80. Let p = c - 71. Differentiate 11*k - 12*k - 32 - p*k wrt k.
-13
What is the second derivative of 1907*h**5 - h**4 - 643 + 1 - 27*h + 30*h + h**4 wrt h?
38140*h**3
Suppose 2*f - 25 = o - 76, 0 = 2*o + 4*f - 126. Let n = 72 - o. What is the second derivative of -22*m + n*m + m**3 - 3*m**3 wrt m?
-12*m
Let s(w) = 14*w**2 + 69*w - 2001. Let k(b) = 18*b**2 + 68*b - 2004. Let i(h) = -4*k(h) + 5*s(h). What is the first derivative of i(r) wrt r?
-4*r + 73
Let x(b) be the second derivative of -2*b**6/15 - 5*b**5/4 - 320*b**2 + 3*b - 283. Differentiate x(l) with respect to l.
-16*l**3 - 75*l**2
Suppose -6*n + 60 = 6*n. Find the second derivative of 3*w + 4*w**4 - n*w**2 + w**2 - w**4 + 8 + 28*w**2 wrt w.
36*w**2 + 48
Let j be (1296/180)/((-2)/(-40)). What is the first derivative of -18*l + 87 - 45*l - j*l - 123*l + 75*l wrt l?
-255
Suppose -o = -7 + 4. Let f(s) = s**2 + s + 18. Let l be f(0). Differentiate -1253*c - l - 15*c**o + 1253*c with respect to c.
-45*c**2
What is the derivative of -4804*v**2 + 4502 - 924*v**2 - 1899*v**2 + 362 wrt v?
-15254*v
Let i(d) = 15*d**2 + 3*d + 4. Let m = 56 - 57. Let s be i(m). What is the third derivative of -2*j**6 + 5*j**2 - s*j**3 + 8*j**3 + 8*j**3 wrt j?
-240*j**3
Suppose -10 = -29*b + 164. What is the derivative of 90*k - 10 + 127*k - 24*k - 221 + b*k wrt k?
199
Let y(a) = 3*a - 2. Let i(f) = 3356*f + 14268. Let n(s) = i(s) + 7*y(s). Find the first derivative of n(c) wrt c.
3377
Let r = -13695 - -13695. Let q(v) be the second derivative of -3/2*v**5 + 0*v**2 + r*v**3 - 13/12*v**4 + 0 + 43*v. Find the third derivative of q(p) wrt p.
-180
Let r(c) = 23942*c**3 + 133*c - 23003. Let a(s) = 7981*s**3 + 42*s - 7667. Let i(l) = 19*a(l) - 6*r(l). Differentiate i(m) with respect to m.
23961*m**2
Let o = 169 + -167. Find the third derivative of -2596 + 2596 - 66*q**5 + 22*q**o wrt q.
-3960*q**2
Let m(u) be the second derivative of u**8/28 + 85*u**7/42 - 3*u**5/10 - u**4/12 + 803*u**3/3 + u**2/2 - 695*u - 1. What is the third derivative of m(y) wrt y?
240*y**3 + 5100*y**2 - 36
Let r(x) be the second derivative of 49*x + 0*x**3 + 7/20*x**5 + 0 + 109/2*x**2 + 0*x**4. Find the first derivative of r(m) wrt m.
21*m**2
Let q be 1 - -74*(-3)/(-6). Let f = 41 - q. Differentiate 2 + c**f + 1 + 10 wrt c.
3*c**2
Let h(f) be the first derivative of 1076*f**2 + 8908*f - 653. What is the first derivative of h(r) wrt r?
2152
Suppose 3*l = -t + 17, -5*t
|
{
"pile_set_name": "DM Mathematics"
}
|
80*q**2 wrt i.
629496*i*q + 2832*q**2
What is the third derivative of 7787442*h*s**3 - 955*h*s**2 + 122*h - s**3 wrt s?
46724652*h - 6
What is the second derivative of 2*d**2*y**2 + 9646*d**2*y + 61*d**2 - 13*d - 219818*y**2 wrt d?
4*y**2 + 19292*y + 122
Find the second derivative of -211346*i**3 + 4*i**2 - 1408*i - 7027.
-1268076*i + 8
What is the first derivative of -97*g*p*v - g*p + 18*g*v + 50*g - p*v - 82091*p + 457*v - 6 wrt p?
-97*g*v - g - v - 82091
What is the second derivative of 4*h**3*o**2 + 4*h**3 + 9*h**2*o - 468*h**2 + h*o**2 + 3*h - o + 12816 wrt h?
24*h*o**2 + 24*h + 18*o - 936
What is the second derivative of 254557*p**4 - 5*p**2 + 219460*p + 4?
3054684*p**2 - 10
What is the derivative of -1814785*m**2 + 2232398 wrt m?
-3629570*m
What is the first derivative of 1113*g*p + 38825133*g - 9024*p wrt p?
1113*g - 9024
Find the first derivative of -125939070*k**4 + 59772328.
-503756280*k**3
Find the third derivative of -222419385*g**3 - 406*g**2 + g - 3524.
-1334516310
Find the second derivative of 20616490*f**2*z**4 - 758*f**2*z - 35*z + 6 wrt z.
247397880*f**2*z**2
Find the third derivative of -247622851*i**5 - 960291537*i**2 wrt i.
-14857371060*i**2
Differentiate 1247831*l**2 + 19*l + 15451275 wrt l.
2495662*l + 19
What is the first derivative of 2195012*n + 1599735 wrt n?
2195012
What is the third derivative of 1673205*k**5 + 8873814*k**2 wrt k?
100392300*k**2
What is the first derivative of 15754857*q**2 + 3383175?
31509714*q
What is the third derivative of -5*z**4 - 1773278*z**3 - 56562245*z**2?
-120*z - 10639668
Find the second derivative of 662*j**5 - 6556*j**3 + 2*j + 2222808 wrt j.
13240*j**3 - 39336*j
What is the second derivative of 18*v**3 - 18310718*v**2 + 14229*v + 19873 wrt v?
108*v - 36621436
What is the third derivative of 408273414*n**4 - 421989230*n**2?
9798561936*n
What is the first derivative of 1351*h**2*p**3 - 3150*h*p + 4*p**3 - 4*p**2 - 4*p + 3562 wrt h?
2702*h*p**3 - 3150*p
Find the first derivative of 2*a**2*m**2 - 376*a**2*m - 4*a**2 - 54*a - 6677*m**2 + 29*m wrt a.
4*a*m**2 - 752*a*m - 8*a - 54
Find the third derivative of -28811*a**4 + 308*a**3 - 7302*a**2 - 3254.
-691464*a + 1848
What is the second derivative of 5298*v**4 - 2*v**3 - 224*v**2 + 8202269*v?
63576*v**2 - 12*v - 448
What is the second derivative of b**4 + 782964*b**3*p - 7*b**2*p - b*p + 850*b - 4019*p wrt b?
12*b**2 + 4697784*b*p - 14*p
What is the third derivative of 2*b**3*t**2 - 157887*b**3*t + 139*b**3 + 458849*b**2 - 3*b*t**2 wrt b?
12*t**2 - 947322*t + 834
Find the third derivative of 252111*c**3 + 254730*c**2 - 6.
1512666
Differentiate 2*a**2*f + 2695027*a**2 - a*f + 2*a + 5915757*f - 11 wrt f.
2*a**2 - a + 5915757
Find the third derivative of g**5 - 3606117*g**4 + 9035*g**2 - g - 43 wrt g.
60*g**2 - 86546808*g
Find the second derivative of -8*i*q**2*s**2*t + 669*i*q*s**2*t - 23*i*q*s**2 - 267704*q**2*t - 2*q*s**2*t + s**2*t + 3*s*t wrt q.
-16*i*s**2*t - 535408*t
What is the second derivative of -2*x**4 + 1641248*x**3 + 8811248*x?
-24*x**2 + 9847488*x
Find the second derivative of 16469518*t**2*v**2*x**2 + t**2*v - 9*t**2 - 1169*t*v + v*x - 2*x**2 wrt v.
32939036*t**2*x**2
What is the third derivative of 64296667*p**3 + 46292282*p**2?
385780002
Find the second derivative of 216897245*r**3 + 2*r**2 - 114552257*r wrt r.
1301383470*r + 4
Differentiate 1845*t*x**3 + 29652*t*x + 2641*t - 192 with respect to x.
5535*t*x**2 + 29652*t
Find the first derivative of -366854*c*k - 9411835*c + 12*k - 2 wrt k.
-366854*c + 12
Find the second derivative of 209*i**4 - 35745*i**3 + i**2 + 337967022*i.
2508*i**2 - 214470*i + 2
Differentiate 112118383*a**4 - 123798759.
448473532*a**3
What is the second derivative of 12972776*v**2 + 12961831*v?
25945552
Find the second derivative of 1366*p*w**3 + 302*p*w**2 - 7*p - 8*w**3 - 13690135*w + 1 wrt w.
8196*p*w + 604*p - 48*w
What is the second derivative of -6*l**2*p**2 + 3*l**2*p - 1509620*l**2 + l*p**2 - 50246*l*p + 149*l + 4*p**2 wrt l?
-12*p**2 + 6*p - 3019240
What is the derivative of -19520789*g**3 - 37231347?
-58562367*g**2
What is the second derivative of 66897205*a**3 + 6*a**2 + 936242247*a wrt a?
401383230*a + 12
Find the second derivative of 2343708*c**2*y**2 + 23067614*c*y**2 wrt c.
4687416*y**2
Find the first derivative of -k**2*y + 219206*k**2 - 11*k*y**2 - 5321*y**2 - 20817*y wrt k.
-2*k*y + 438412*k - 11*y**2
Find the second derivative of -218454956*f**3 + 1229*f + 2779.
-1310729736*f
Differentiate 367
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Let s be -4*(-7)/(21/6064992). Suppose 5*t + 6259968 = 2*t. Let h = s + t. What is h rounded to the nearest 1000000?
6000000
Let v = -0.061 + -1.339. Let u = v + 1.40000005. Round u to 7 dps.
0.0000001
Let n = 47 - 97. Let u = -50.0014 - n. What is u rounded to 4 dps?
-0.0014
Let h = 1379381986 + -1379382059.6999639. Let n = h + 73.7. Round n to 6 decimal places.
0.000036
Let v = 8.054 + -8. Let m = 0.0540027 - v. What is m rounded to 6 decimal places?
0.000003
Let s = -1023.70484515 - -1021.51485. Let n = s - -2.19. What is n rounded to seven dps?
0.0000049
Let d = -0.04 - 0.01. Let c = -0.29 - d. What is c rounded to one decimal place?
-0.2
Let w = -2369 - -2368.995194. Round w to 3 decimal places.
-0.005
Let i = 12 - 11.99. Let a = 0.01042 - i. What is a rounded to 4 dps?
0.0004
Let f = -358651.8 - -358655.799999. Let o = f - 4. Round o to 6 dps.
-0.000001
Let d be -1*((-160)/(-12))/(8/3012). Round d to the nearest 1000.
-5000
Let r = -15793 + 25193. What is r rounded to the nearest one hundred?
9400
Let s = 88 + -83. Suppose 0 = 2*p - s*p - 5*c + 102005, 5*p - 169997 = 3*c. What is p rounded to the nearest one hundred thousand?
0
Let h = 16.039 - 16.74. Let s = h + -0.069. What is s rounded to one dp?
-0.8
Let c = 30.7 + 1.3. Let b = -17 + c. Let i = -15.0000016 + b. Round i to 7 decimal places.
-0.0000016
Let f(l) = -7*l**3 - 12*l**2 + 8*l - 7. Let j be f(13). Let i = j - 42690. Round i to the nearest ten thousand.
-60000
Suppose 0 = -5*a + 4*t + 2078751 + 2671104, 4749900 = 5*a + 5*t. Suppose 5*y = r - 3*r - 950010, -5*r + a = -5*y. What is y rounded to the nearest 100000?
-200000
Let p = -0.2763 - 21.8537. Round p to 0 dps.
-22
Suppose 211809420 = -5*s + 17*s. Let n = -9250785 + s. What is n rounded to the nearest 1000000?
8000000
Suppose 3*j + 8080759 = -7969241. Round j to the nearest one hundred thousand.
-5400000
Let s = -1141153784791661.09500053 + 1141153780135403. Let g = s - -4656258. Let i = g + 0.095. What is i rounded to 7 decimal places?
-0.0000005
Let r = 889 - 885.24. Round r to zero dps.
4
Let p = -2045 - -2044.9997382. What is p rounded to six dps?
-0.000262
Suppose -3*n = 1 + 23. Let j = -4 - n. Suppose -5*g + 380968 + 234028 = 2*m, 492002 = j*g - m. Round g to the nearest 10000.
120000
Let r = 5.256 + -4.03. Round r to one decimal place.
1.2
Let k = -15 + 17. Suppose 4*v - 2*z = -4*z + 284004, 0 = -z + k. Let m be -4*(2*v)/(-4). Round m to the nearest 10000.
140000
Let s = 0.155 - -102.845. Let h = s - 103.000082. Round h to 5 dps.
-0.00008
Suppose -2977 = 5*i + 11023. What is i rounded to the nearest ten thousand?
0
Suppose 2 = 4*w - 5*n, 0 = 4*w + n - 3 - 11. Suppose 3*c = c + 5*t + 46, w*c = 4*t + 76. Suppose 3*j - c = 4*j. What is j rounded to the nearest 10?
-30
Let t = 0.03 - 7.53. Let d = t - -7.583. Let l = d - -0.011. Round l to 2 dps.
0.09
Let x = -0.586 - -0.5860363. What is x rounded to five dps?
0.00004
Let f = -25.18 - -25.17994724. What is f rounded to 6 dps?
-0.000053
Let p = -490238 + 757738. Let s be 10/((-1)/4*(-10)/p). What is s rounded to the nearest 100000?
1100000
Suppose 2*t + 125879998 = 3*w, 5*w - 209799996 = -23*t + 27*t. What is w rounded to the nearest 1000000?
42000000
Let t(a) = -10*a**2 + 1. Let l(h) = -2*h**3 + 2*h**2 - 1. Let b be l(1). Let c be t(b). Let m(g) = 433*g - 3. Let p be m(c). Round p to the nearest 1000.
-4000
Let q = -6926580 + 6926579.7000031. Let w = -2.7 - -3. Let t = w + q. What is t rounded to 6 dps?
0.000003
Let j(c) be the second derivative of c**4/6 - 4*c**3/3 - c**2/2 + 6*c. Let q be j(-9). Round q to the nearest ten.
230
Let i = -735.402 - -734.732037. Let n = -0.99 + 1.66. Let g = n + i. Round g to 5 dps.
0.00004
Suppose 0 = 3*y - h + 1140005, -5*y = 4*h + 1079027 + 820953. What is y rounded to the nearest 1000000?
0
Let q = -0.073 + -0.0506. Let l = -0.1236621 - q. Round l to five decimal places.
-0.00006
Let j = 0.1 + 0.5. Let q = -5.4 - j. Let s = q + 6.0000002. What is s rounded to six dps?
0
Suppose -2*n - s + 2*s + 15 = 0, -3*n + 5*s = -40. Suppose -m - 4040002 = -n*m + b, -5*b + 4039990 = 4*m. Round m to the nearest 100000.
1000000
Let b be (-20*5)/((-8)/67440*1). Round b to the nearest 10000.
840000
Suppose 3*n = 5*g - 2*n - 35, 17 = 2*g - 3*n. Let b be 2 - 6865/(-2)*172. Suppose 18209608 = -g*a - b. What is a rounded to the nearest one million?
-5000000
Let p(g) = -g**2 + 10*g + 2. Let y be p(10). Suppose -h = -y*h + 1. Let l be 0 - h - 10799998/2. Round l to the nearest 1000000.
-5000000
Let c(v) = 4*v**2 + v + 12. Let i be c(-6). Suppose -7*n + 2*n = -i. Round n to the nearest 100.
0
Let f = 32.961 - -0.039. Let q = -33.00000003 + f. What is q rounded to seven decimal places?
0
Let u = -0.0231992 - -1.1830112. Let n = u + -1.16. Round n to five decimal places.
-0.00019
Let j = -185.93 - 36.97. Round j to the nearest 10.
-220
Let n = -0.0569 - 0.0771. Round n to
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is the third root of 1699731 to the nearest integer?
119
What is the third root of 1447514 to the nearest integer?
113
What is 299956 to the power of 1/7, to the nearest integer?
6
What is 162132 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 705543 to the nearest integer?
15
What is 771712 to the power of 1/10, to the nearest integer?
4
What is 17552 to the power of 1/2, to the nearest integer?
132
What is 23868380 to the power of 1/2, to the nearest integer?
4886
What is 441563 to the power of 1/2, to the nearest integer?
665
What is 89425 to the power of 1/2, to the nearest integer?
299
What is the seventh root of 3393405 to the nearest integer?
9
What is 2775549 to the power of 1/2, to the nearest integer?
1666
What is 8194694 to the power of 1/7, to the nearest integer?
10
What is the seventh root of 3924502 to the nearest integer?
9
What is the cube root of 3558872 to the nearest integer?
153
What is the eighth root of 252175 to the nearest integer?
5
What is the third root of 45819 to the nearest integer?
36
What is 213647 to the power of 1/3, to the nearest integer?
60
What is 12478782 to the power of 1/8, to the nearest integer?
8
What is 1147537 to the power of 1/2, to the nearest integer?
1071
What is 7626155 to the power of 1/2, to the nearest integer?
2762
What is 117863 to the power of 1/4, to the nearest integer?
19
What is 264092 to the power of 1/2, to the nearest integer?
514
What is 835020 to the power of 1/3, to the nearest integer?
94
What is the eighth root of 2364550 to the nearest integer?
6
What is the square root of 13249098 to the nearest integer?
3640
What is the fifth root of 9369700 to the nearest integer?
25
What is 286195 to the power of 1/3, to the nearest integer?
66
What is 18866556 to the power of 1/4, to the nearest integer?
66
What is 5597179 to the power of 1/2, to the nearest integer?
2366
What is the fourth root of 2791691 to the nearest integer?
41
What is the third root of 2351288 to the nearest integer?
133
What is 28679066 to the power of 1/4, to the nearest integer?
73
What is 29760052 to the power of 1/4, to the nearest integer?
74
What is the square root of 360535 to the nearest integer?
600
What is the square root of 252834 to the nearest integer?
503
What is 19279823 to the power of 1/2, to the nearest integer?
4391
What is the square root of 1968017 to the nearest integer?
1403
What is 2325045 to the power of 1/10, to the nearest integer?
4
What is 15424 to the power of 1/2, to the nearest integer?
124
What is 2195276 to the power of 1/3, to the nearest integer?
130
What is 475463 to the power of 1/8, to the nearest integer?
5
What is 1439988 to the power of 1/2, to the nearest integer?
1200
What is the third root of 26716537 to the nearest integer?
299
What is 38855 to the power of 1/6, to the nearest integer?
6
What is the ninth root of 1302552 to the nearest integer?
5
What is 2421806 to the power of 1/7, to the nearest integer?
8
What is the sixth root of 4970175 to the nearest integer?
13
What is the sixth root of 641645 to the nearest integer?
9
What is 3337128 to the power of 1/8, to the nearest integer?
7
What is 942323 to the power of 1/3, to the nearest integer?
98
What is the third root of 2009472 to the nearest integer?
126
What is the third root of 156217 to the nearest integer?
54
What is the square root of 653787 to the nearest integer?
809
What is the cube root of 1089226 to the nearest integer?
103
What is 2449584 to the power of 1/2, to the nearest integer?
1565
What is the cube root of 33471 to the nearest integer?
32
What is the third root of 4310597 to the nearest integer?
163
What is the square root of 1577623 to the nearest integer?
1256
What is the cube root of 645000 to the nearest integer?
86
What is 65903 to the power of 1/3, to the nearest integer?
40
What is the cube root of 27876 to the nearest integer?
30
What is the third root of 3024604 to the nearest integer?
145
What is 436575 to the power of 1/3, to the nearest integer?
76
What is the square root of 194426 to the nearest integer?
441
What is the third root of 22927777 to the nearest integer?
284
What is 49800 to the power of 1/6, to the nearest integer?
6
What is the tenth root of 2894180 to the nearest integer?
4
What is 8337162 to the power of 1/4, to the nearest integer?
54
What is the seventh root of 4749327 to the nearest integer?
9
What is the square root of 913092 to the nearest integer?
956
What is 14862459 to the power of 1/3, to the nearest integer?
246
What is the third root of 560807 to the nearest integer?
82
What is 2927815 to the power of 1/6, to the nearest integer?
12
What is 1351396 to the power of 1/3, to the nearest integer?
111
What is 5291801 to the power of 1/2, to the nearest integer?
2300
What is the cube root of 68697 to the nearest integer?
41
What is 2053068 to the power of 1/8, to the nearest integer?
6
What is 330328 to the power of 1/3, to the nearest integer?
69
What is 299766 to the power of 1/10, to the nearest integer?
4
What is the third root of 14913993 to the nearest integer?
246
What is the cube root of 12316240 to the nearest integer?
231
What is the third root of 1661824 to the nearest integer?
118
What is 1754811 to the power of 1/2, to the nearest integer?
1325
What is 1296217 to the power of 1/9, to the nearest integer?
5
What is the fourth root of 662320 to the nearest integer?
29
What is the third root of 1507410 to the nearest integer?
115
What is 508541 to the power of 1/10, to the nearest integer?
4
What is the square root of 379528 to the nearest integer?
616
What is the third root of 413666 to the nearest integer?
75
What is the fourth root of 3643912 to the nearest integer?
44
What is the square root of 676792 to the nearest integer?
823
What is 3045219 to the power of 1/7, to the nearest integer?
8
What is the ninth root of 1088275 to the nearest integer?
5
What is the tenth root of 5914326 to the nearest integer?
5
What is the tenth root of 10540784 to the nearest integer?
5
What is the square root of 50300 to the nearest integer?
224
What is the third root of 1152779 to the nearest integer?
105
What is 132694 to the power of 1/10, to the nearest integer?
3
What is the cube root of 2095272 to the nearest integer?
128
What is the square root of 4465619 to the nearest integer?
2113
What is 6636574 to the power of 1/3, to the nearest integer?
188
What is 17591541 to the power of 1/7, to the nearest integer?
11
What is the cube root of 6716751 to the nearest integer?
189
What is 580236 to the power of 1/9, to the nearest integer?
4
What is the third root of 102129 to the nearest integer?
47
What is 2887272 to the power of 1/2, to the nearest integer?
1699
What is 1620355 to the power of 1/4, to the nearest integer?
36
What is the square
|
{
"pile_set_name": "DM Mathematics"
}
|
e y = -1 + o. Solve g = -g + y for g.
4
Suppose -7 + 3 = -3*q - 4*u, 3 = -4*q + 3*u. Let c be ((-16)/(-12))/(4/18). Suppose c*g - 8 - 10 = 0. Solve -g*i = -q*i - 6 for i.
2
Let l be (-110)/(-5)*(2 + 6/(-4)). Suppose 10*s - 5*s = 0. Suppose 0 = u - 3 - s. Solve l = -4*f + u for f.
-2
Let x be ((-4)/(-6))/1*333/74. Solve 0 = b - 0*b + x for b.
-3
Let n(v) = v**3 + 6*v**2 - 7*v + 4. Let r(l) = l**3 + 6*l**2 + 4*l. Let x be r(-4). Let d be -3 - x/4*1. Let h be n(d). Solve -h*m - 25 = -9*m for m.
5
Let g(x) = 2*x**2 - 3*x + 8. Let q be g(0). Suppose -12 - q = -2*f. Solve f = -3*j - 2*j for j.
-2
Suppose -9*z + 6*z + 15 = 0. Suppose -2*s - 8 + 6 = -y, -4*y + z*s + 11 = 0. Solve 0*k + 8 = -y*k for k.
-2
Let u = -25 - -35. Let b(y) = 3*y - 21. Let j be b(u). Let a be ((-6)/8)/(j/(-36)). Solve -7 = 5*k + a for k.
-2
Suppose -l = -j - 1, 4*j = 6*l - 4*l - 2. Solve j = -4*x - x + 10 for x.
2
Let o be 7/21*(6 + 0). Suppose -o*p = -6*p + 12. Solve -b = -p*b + 4 for b.
2
Let z = 18 - 12. Let r be 7/(-77)*-2 - (-4)/(-22). Solve n - z*n = r for n.
0
Let t(i) = -i + 6. Let n(s) = 2*s - 13. Let c(v) = 2*n(v) + 5*t(v). Let a be c(2). Solve -u + 3*u + a = 0 for u.
-1
Let g be 26/169 + (-230)/(-26). Suppose -g = -m - 1. Solve 4*r = -0*r - m for r.
-2
Let h = 382 - 382. Solve 11*p - 5 + 60 = h for p.
-5
Let q = 204 - 110. Suppose -q - 146 = -8*t. Solve -4*h - t = -10 for h.
-5
Let n(s) = -s - 2. Let w be n(-2). Suppose -2*h = 3*z - w*h - 25, 2*h + 63 = 5*z. Solve 4 = -5*g - z for g.
-3
Suppose -o + m = 2, -5*m = -2*o - 8 - 2. Solve 7*y + o = 14 for y.
2
Let m be 10 - (-15)/(4 - 9). Suppose m*j = 5*j + 30. Solve n + j = 4*n for n.
5
Suppose 18 = -3*g + 18. Suppose -2*i = -g*i - 10. Solve -8 = i*a + 7 for a.
-3
Suppose -5*z = -4*b - 3, 4*z + 2 = 5*b - 1. Suppose -g = z - 8. Solve f = g*f + 12 for f.
-3
Suppose 0 = -y - 4*o + 2, -5*y - o = 2*o + 7. Let k(l) = -l**3 - 4*l**2 + 5*l - 1. Let h be k(-5). Let d be (5 + -3)/(h - y). Solve 5*x - d*x - 9 = 0 for x.
3
Let f = 35 + -102. Let k = -64 - f. Solve -k*u + 0*u = -12 for u.
4
Suppose 171*c - 177*c = -60. Solve 0 = -122*t + 120*t + c for t.
5
Suppose -i = 5*i. Let w be (i - 0)*(-2)/8. Suppose 2*f - 2 - 2 = 0. Solve f*x - x = w for x.
0
Suppose -j - 5 = -2*p + 24, 2 = -2*j. Solve -h - 15 = -p for h.
-1
Let b = 41 - 65. Suppose 5*k + 8 = 4*r - 16, -9 = 2*k - r. Let u be (-6)/b - (-1)/k. Solve 0 = -3*g + 15 - u for g.
5
Let h(t) = 4*t - 6. Let d(g) = 5*g - 5. Let f(p) = -5*d(p) + 6*h(p). Let s be f(-8). Let w be (s - -4)*(2 - 1). Solve 2*z + w + 3 = 0 for z.
-2
Let q = -59 - -61. Suppose -4*i + 12 = 4*g, 0 = -2*g - i + q*i. Solve -5*c + g = -19 for c.
4
Suppose -3*x + 135 = 12*x. Suppose 9 = -3*l + x. Solve c = -l*c for c.
0
Suppose -2*l = -3*l + 2. Suppose 56 - 52 = 2*o. Solve -o = x + l for x.
-4
Let d be 3 + -8 + 3 + -4. Let a be (-7 + -5)/(d/4). Solve 3*x = -x + a for x.
2
Let f(m) be the second derivative of -m**3/3 - 7*m**2 + 2*m. Let g be f(-8). Suppose g*n + n = 21. Solve -2*v - n = -1 for v.
-3
Let n(m) = m**3 - 4*m**2 + 2. Suppose 5*j - 3*j = 40. Suppose y - j = -2*z - 2*z, 0 = 2*y - 2*z. Let q be n(y). Solve -c + q*c - 5 = 0 for c.
5
Suppose -4 = -t + 2*h, h + 23 = -10*t + 14*t. Solve t*v - 9*v + 3 = 0 for v.
1
Suppose 0*q - 2*q = -5*x + 98, -4*x - 101 = 3*q. Let l = 41 + q. Solve 2*n = 2 + l for n.
2
Suppose -3*g + 21 = y - 4, -3*y + 27 = 3*g. Let r be -3 - (-5)/((-10)/g). Let v be r/(-4) - (-15)/(-20). Solve v = -0*b + b for b.
1
Let x be 1 + -3*(-16)/12. Suppose x*r = -3*p + 5, -r - 2*r + 19 = 5*p. Suppose -4 + 21 = 4*j + a, -3*j + 17 = p*a. Solve -u - j = 1 for u.
-5
Let m be 12*(0 + (-9)/(-12)). Let q be 7 - m/((-9)/4). Suppose -q = 4*h - 35. Solve -u + h*u = 0 for u.
0
Let v be (-3)/(-12) + 45/12. Suppose -v*n - 42 = -n. Let k = 14 + n. Solve y + k*y = 1 for y.
1
Let g(y) = 3*y. Let b(t) = -4*t - 1. Let n(d) = 2*b(d) + 3*g(d). Let i be n(4). Suppose 7*x - 369 = 28*x - 537. Solve -i*c + 2 + x = 0 for c.
5
Suppose 0 = 3*m + 2*t - 3 - 8, -m - 1 = 3*t. Solve 2*f = -7 + m for f.
-1
Suppose -360 + 45 = -45*a. Solve -a*
|
{
"pile_set_name": "DM Mathematics"
}
|
e 7 by -799.
-7/799
0 divided by -734781
0
Calculate -38 divided by 2921.
-38/2921
Calculate -28004 divided by 4.
-7001
What is 107713 divided by 12?
107713/12
Calculate 20918 divided by 10459.
2
574 divided by -2
-287
Calculate 811482 divided by -405741.
-2
What is -2 divided by 32838?
-1/16419
-389 divided by 562
-389/562
Divide 854 by 65.
854/65
What is 546 divided by 546?
1
Calculate -6597 divided by -10.
6597/10
-11 divided by 25
-11/25
Divide 3 by -8475.
-1/2825
Calculate -56 divided by 1654.
-28/827
70 divided by 1187
70/1187
Calculate -197337 divided by -3.
65779
Divide -19464 by -6.
3244
Calculate 1 divided by -85931.
-1/85931
Calculate -13460829 divided by 3.
-4486943
Calculate -11424 divided by -2856.
4
Divide -1 by 13806.
-1/13806
5192 divided by -12
-1298/3
-2088328 divided by 22
-94924
Divide -53733 by -53733.
1
-8 divided by -923
8/923
Calculate -31 divided by 4713.
-31/4713
Calculate 550620 divided by 3933.
140
Calculate -27673 divided by -1.
27673
352100 divided by -5
-70420
Calculate 237048 divided by -952.
-249
-93435 divided by -14
93435/14
-51748 divided by -4
12937
Divide -44460 by -988.
45
1 divided by -172229
-1/172229
351786 divided by 3
117262
What is -192645 divided by -38529?
5
Divide 43794 by 6.
7299
What is 2215560 divided by 6?
369260
-99 divided by 66
-3/2
Calculate 4 divided by 20287.
4/20287
89304 divided by 4
22326
Divide -3088578 by 69.
-44762
Calculate 0 divided by 4296.
0
Divide 95052 by -267.
-356
Calculate -16523 divided by 4.
-16523/4
Calculate 5 divided by 34017.
5/34017
Calculate -10112 divided by 32.
-316
-1566176 divided by 32
-48943
Calculate 6 divided by 6496.
3/3248
8367 divided by 3
2789
Calculate 163565 divided by -5.
-32713
What is 225862 divided by -221?
-1022
9813312 divided by 6
1635552
Divide -590830 by -5.
118166
What is -810310 divided by 405155?
-2
Divide -410650 by -5.
82130
Divide 105158 by 6.
52579/3
-14 divided by 5687
-14/5687
5 divided by 1004279
5/1004279
-3259908 divided by 1629954
-2
Divide 1 by -38753.
-1/38753
1657 divided by -1005
-1657/1005
What is -1 divided by -60603?
1/60603
What is -8101 divided by 3?
-8101/3
-46575 divided by 45
-1035
Divide -188 by 206.
-94/103
What is -69258 divided by 1358?
-51
Divide 27659 by -118.
-27659/118
Divide -374375 by -3.
374375/3
What is 596056 divided by -149014?
-4
Calculate -1105252 divided by 5879.
-188
Calculate -1 divided by -95972.
1/95972
-97 divided by 613
-97/613
Divide -147092 by 3.
-147092/3
Calculate -2439202 divided by -22378.
109
Divide -619 by -61.
619/61
-440040 divided by 285
-1544
717 divided by -69
-239/23
Divide 1 by -1475.
-1/1475
What is -21342 divided by -6?
3557
What is 509235 divided by -101847?
-5
Calculate -163356 divided by 6.
-27226
25 divided by -24775
-1/991
What is 4608 divided by 2304?
2
-141999 divided by 4
-141999/4
What is -4024 divided by -5?
4024/5
What is -778684 divided by 194671?
-4
-3010352 divided by -4
752588
Divide 13829 by 18.
13829/18
What is 152452 divided by 5?
152452/5
Calculate 313080 divided by 39135.
8
What is 56 divided by -704?
-7/88
Calculate 83832 divided by -168.
-499
Calculate -213 divided by 18.
-71/6
Divide 32 by -2112.
-1/66
Calculate 527865 divided by -1.
-527865
What is 1392224 divided by -1252?
-1112
1102365 divided by 5
220473
Divide -3220324 by 4.
-805081
Divide -77442 by 4.
-38721/2
Divide -5 by 4810.
-1/962
-11814 divided by -6
1969
121954 divided by 4
60977/2
What is 24879 divided by 3?
8293
Divide 42 by -323.
-42/323
Divide 3881 by 1633.
3881/1633
What is -126 divided by -142?
63/71
-6301 divided by 69
-6301/69
Divide -15824 by -23.
688
Calculate -85 divided by 20125.
-17/4025
2284470 divided by -54
-42305
What is -28132 divided by 6?
-14066/3
Calculate -119482 divided by 1.
-119482
Calculate 5 divided by 11992.
5/11992
What is 8 divided by 4078?
4/2039
89607 divided by 5271
17
48032 divided by -158
-304
What is 309596 divided by -14?
-22114
What is -30775 divided by -3?
30775/3
What is -5 divided by -380060?
1/76012
Divide 40711 by -6.
-40711/6
Calculate -269739 divided by 731.
-369
47 divided by -3555
-47/3555
Divide -17726 by 62.
-8863/31
344760 divided by -1768
-195
What is -3690 divided by -528?
615/88
Divide 8307 by 7.
8307/7
What is -2865558 divided by -6?
477593
Calculate 2179990 divided by 5.
435998
Divide -1976335 by 5.
-395267
Calculate 7395 divided by -43.
-7395/43
174 divided by -2662
-87/1331
10 divided by -5546
-5/2773
-234987 divided by -6
78329/2
Divide -214 by 143.
-214/143
-9073 divided by 5
-9073/5
Calculate 2 divided by 61244.
1/30622
-2 divided by -29010
1/14505
What is -1748206 divided by -2?
874103
51290 divided by 223
230
Divide 3 by -5128.
-3/5128
Divide -3076 by 2.
-1538
Calculate 5 divided by 9299.
5/9299
What is -3 divided by 6311?
-3/6311
44 divided by 8818
22/4409
Calculate -33592 divided by 4199.
-8
Divide 280 by -87.
-280/87
8716 divided by -4358
-2
Divide 0 by -119603.
0
1676292 divided by -838146
-2
What is -5852 divided by -836?
7
What is -2116163 divided by -3?
2116163/3
-11600 divided by -40
290
What is -3094350 divided by -88410?
35
539590 divided by -269795
-2
-43 divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
/(c/c**(-3)*c) assuming c is positive.
c**(-41/40)
Simplify s**(2/33)/s**(-22/7) assuming s is positive.
s**(740/231)
Simplify ((((w*w/(w**0*w)*w*w*w)/w*w)/w*w)/w)**15/((w/w**2)/w*w*w*(w/w**1)/w) assuming w is positive.
w**46
Simplify p/(p**(-7)/p)*p/(p/(p/(((p*p**(-3/8))/p*p)/p)*p))*(p*p**6)/((p*p*p**(1/13)*p*p)/p) assuming p is positive.
p**(1591/104)
Simplify k**4*k*k**4*((k**(-4)*k)/k)/(k*(k/k**6)/k) assuming k is positive.
k**10
Simplify (g**(-3)*g*g*g**0)**19 assuming g is positive.
g**(-19)
Simplify (m*(m*(m*(m/m**2)/m)/m)/m)/m**(2/11)*(m/m**0)/(m/m**(2/5)*m) assuming m is positive.
m**(-98/55)
Simplify (((r**(-3/4)/r)/r)/r)/r**8*r*r**(1/2)*r**(-3)/r assuming r is positive.
r**(-57/4)
Simplify (x*x**(-1)*x)**(-4/37)/(x**(-1/6)*x**(-1)) assuming x is positive.
x**(235/222)
Simplify (v**0/((v/(v*(v/(v**5*v)*v)/v*v))/v))**(-1/35) assuming v is positive.
v**(3/35)
Simplify b**(4/9)/(b/b**(-4/7))*b**(-5/6)*b**1 assuming b is positive.
b**(-121/126)
Simplify w**(-20)*w*w**4 assuming w is positive.
w**(-15)
Simplify (q*q**0)**(-26)/((q*q**(-8))/q*q*q/((q*q**(3/2))/q)) assuming q is positive.
q**(-37/2)
Simplify a**(1/6)/a*a/(a**(-1/9)/a)*a*((a/(a**(-1/3)*a))/a)/a**(-1/8) assuming a is positive.
a**(125/72)
Simplify (s/(s/((s*s**(-10/9))/s)))**11 assuming s is positive.
s**(-110/9)
Simplify (z**1)**(-43)/((z/(z*z/z**(-2/3)))/(z**(-1)/z*z*z)) assuming z is positive.
z**(-124/3)
Simplify (s**(1/4)/s**(-3/10))**(4/29) assuming s is positive.
s**(11/145)
Simplify ((x/x**1)/x**2)/(x/((x**1*x)/x))**(-2/23) assuming x is positive.
x**(-2)
Simplify (m**(2/5)*m)**(-35)/(m**(-3/2)/m**7) assuming m is positive.
m**(-81/2)
Simplify (h*h*h/((h/(h*h**(-4))*h)/h)*h/(((((h**(3/5)/h*h)/h)/h)/h)/h)*h)**(-38) assuming h is positive.
h**(-836/5)
Simplify (k**(-4/5)/k)/((k/(k/k**(-4/7)))/k)*(k**(-2/5)*k*k)**(3/10) assuming k is positive.
k**(44/175)
Simplify (i/i**(1/2))**(-16)/(i/(((i/((i**1*i)/i))/i)/i))**4 assuming i is positive.
i**(-20)
Simplify ((n**(1/13)/n)/(n**4*n*n))**13 assuming n is positive.
n**(-90)
Simplify (y**6*y*y/(y/(y*y**(-1)*y)*y))**(6/5) assuming y is positive.
y**(42/5)
Simplify ((j*((j*j/(j/j**(4/3))*j)/j*j)/j)/j*j**(2/7))/(j**0*j)**(7/6) assuming j is positive.
j**(61/42)
Simplify ((i/(i*i**(-2/7))*i)/((i/((i/(i**6/i))/i))/i))/(i**(2/7))**(5/12) assuming i is positive.
i**(-23/6)
Simplify (r*r*r/r**(-5))/r*r*r**(-2/65) assuming r is positive.
r**(518/65)
Simplify ((p**1*p*p)/p**4)**42 assuming p is positive.
p**(-42)
Simplify ((s/(s/(s/(s**(-5)/s))))/(s/(s/(s*s/(s*s**(-1/3))))))/(s/((s**(-2/3)*s)/s)*s*s*s**5) assuming s is positive.
s**(-3)
Simplify a**(-2/55)*a**(-10) assuming a is positive.
a**(-552/55)
Simplify (w/(w/w**2))**(-13)/(w**(-1)*w)**4 assuming w is positive.
w**(-26)
Simplify (l**(-8)*l)/((l*(l**4*l)/l)/l)*((l*l**1*l)/l)**(-5) assuming l is positive.
l**(-21)
Simplify (v**(-24))**(16/9) assuming v is positive.
v**(-128/3)
Simplify (c*c**(-5)*c*c*c*c*c)**13 assuming c is positive.
c**13
Simplify (b**(-7)/b*b/(b/(b*b*b**7/b)))/((b/((b*b/b**(1/4))/b))/b*(b**(-3)*b*b)/b) assuming b is positive.
b**(11/4)
Simplify (l*(l*l/(l*l**(-2/33)/l))/l*l*l*l)/(l*l**(-2/19)) assuming l is positive.
l**(2612/627)
Simplify (i*i**16)/((i*i**7)/i) assuming i is positive.
i**10
Simplify ((j/((j*j**(-6))/j))/j**(-2/13))/((j*j/j**(-1/13)*j)/j**(-4/3)) assuming j is positive.
j**(107/39)
Simplify ((u**(4/9)*u)/(u*(u*u/(u*u**3*u*u)*u)/u))/(u**(-2/3)*(u/u**(3/4))/u) assuming u is positive.
u**(211/36)
Simplify (p**(-2/29))**(-1/32) assuming p is positive.
p**(1/464)
Simplify (b**(-6)/b*b**(1/8)/b)**(-12/11) assuming b is positive.
b**(189/22)
Simplify (o**(-2/39)/o**(-16))**(1/10) assuming o is positive.
o**(311/195)
Simplify (f*f**0)**(-2/15)/(f**(-5)/((f**0*f)/f)) assuming f is positive.
f**(73/15)
Simplify u*(u**(11/5)/u)/u*u*u/((u*u*u**(-3/2))/u) assuming u is positive.
u**(37/10)
Simplify ((q*q**(-4)*q)**(-24))**(12/19) assuming q is positive.
q**(576/19)
Simplify (s*s**(-3)*s**1/s)/(s**(-4)*s**(1/10)/s) assuming s is positive.
s**(29/10)
Simplify ((u/(u/(u/u**(-1/4)))*u)**(6/25))**37 assuming u is positive.
u**(999/50)
Simplify ((y**3)**22)**(-2/67) assuming y is positive.
y**(-132/67)
Simplify (f*f**0/f)**(-23)*f/(f/((f/f**(-5))/f*f))*f**(-5/2)/f assuming f is positive.
f**(5/2)
Simplify (h/(h*h**(-2/7)))**(-13)/(((h*h/h**(1/4))/h*h)/h*h)**(-18) assuming h is positive.
h**(389/14)
Simplify ((a*a*a/(a/((a**(-2/25)/a)/a)))/(a**(-3/7)/a))/((a/a**7)/a*a**(1/7)/a) assuming a is positive.
a**(1611/175)
Simplify (z
|
{
"pile_set_name": "DM Mathematics"
}
|
10268?
17502
In base 2, what is 1001110101101011000100001 + 0?
1001110101101011000100001
In base 4, what is -20121122322331 - 11?
-20121122323002
In base 9, what is 5026108 - 30?
5026068
In base 6, what is 45202210255 + -5?
45202210250
In base 10, what is -15211 + 11575?
-3636
In base 10, what is -1 - 63449460?
-63449461
In base 12, what is 435b39b - -4?
435b3a3
In base 14, what is 4 + d164ca?
d164d0
In base 2, what is 1000100100001 + 11100111010001?
100101011110010
In base 3, what is -102 - -1110200221100?
1110200220221
In base 16, what is 3b80f + 14?
3b823
In base 6, what is -3 - -551352154?
551352151
In base 5, what is -212444003 + -23?
-212444031
In base 15, what is 5 + c94b5d?
c94b63
In base 15, what is bae + -18ec?
-c3d
In base 10, what is -638 - 1635?
-2273
In base 15, what is 12 - -3a257?
3a269
In base 3, what is -12 - -11222121110020?
11222121110001
In base 16, what is 2ac60e - -2?
2ac610
In base 3, what is 2212001 + 2102111?
12021112
In base 8, what is -14070 + -62?
-14152
In base 10, what is 9 - 2247760?
-2247751
In base 9, what is 47618627 + 4?
47618632
In base 8, what is 1423745 - 17?
1423726
In base 12, what is -b48 - -a661?
9715
In base 3, what is 201211101 + -121122000?
10012101
In base 7, what is 2 - 251132535?
-251132533
In base 7, what is -42 - -145535?
145463
In base 11, what is -2 - 21817a8?
-21817aa
In base 14, what is -50 - 6b712?
-6b762
In base 9, what is 133378 + 15?
133404
In base 9, what is 3133 + 83372?
86515
In base 11, what is 8a906 + -4?
8a902
In base 10, what is -13733753 - 5?
-13733758
In base 5, what is -1024030 - -2411420?
1332340
In base 12, what is -23 - 265b285?
-265b2a8
In base 10, what is -312895 + 28?
-312867
In base 12, what is -9659 - 13294?
-20931
In base 15, what is baa + 30?
bda
In base 13, what is -350 - 191?
-511
In base 13, what is 10 - -28129?
28139
In base 12, what is -2 - b7946?
-b7948
In base 9, what is -72183177 + -2?
-72183180
In base 12, what is 658434 - 2?
658432
In base 11, what is 2aaa5715 + 3?
2aaa5718
In base 6, what is 13221 - 302500?
-245235
In base 3, what is -112 + 22011112020221?
22011112020102
In base 10, what is 22 + -45346315?
-45346293
In base 3, what is 1021101022202011002 + 2?
1021101022202011011
In base 12, what is 4 - 49510?
-49508
In base 16, what is 1b11 - -6d8?
21e9
In base 5, what is -4022 - 32242?
-41314
In base 2, what is 110110100000 + 110001111100011?
111000110000011
In base 4, what is 12213 + 301331013?
302003232
In base 16, what is 86eb + -46c?
827f
In base 11, what is -314383 - a?
-314392
In base 6, what is -10315441224 - 1?
-10315441225
In base 9, what is 28565667 + 0?
28565667
In base 15, what is 813635 - -e?
813644
In base 7, what is -54 + 1324120?
1324033
In base 8, what is -10 + -5214767?
-5214777
In base 10, what is -2 + -695125?
-695127
In base 4, what is -1133 + 2000012?
1332213
In base 14, what is 10859 + -2?
10857
In base 15, what is -e0b23e5 - -4?
-e0b23e1
In base 6, what is -4541 + 3420414?
3411433
In base 11, what is -13 - -2654810?
26547a8
In base 5, what is -12044420 + -121?
-12100041
In base 2, what is 10010101 + 11010100001111000011?
11010100010001011000
In base 3, what is 110110102 + -101101?
110002001
In base 10, what is -3 - 1765071?
-1765074
In base 4, what is -32222312210110 + 10?
-32222312210100
In base 8, what is -6 - -24766?
24760
In base 11, what is 102569 - -583?
103041
In base 13, what is 0 + -b02860?
-b02860
In base 12, what is 8a + 11920?
119aa
In base 5, what is 1331404 - 414?
1330440
In base 3, what is 2210202022011000101 + 1?
2210202022011000102
In base 13, what is 1 + ab59b7?
ab59b8
In base 8, what is 22 + 20617337?
20617361
In base 16, what is -50a1 - -36e?
-4d33
In base 14, what is -16b63446 + c?
-16b63438
In base 16, what is -12358eb3 - 1?
-12358eb4
In base 5, what is 20124031104 + 3?
20124031112
In base 8, what is 5047556 + -56?
5047500
In base 12, what is 16 + -2bb174?
-2bb15a
In base 7, what is -1 - 226261230?
-226261231
In base 7, what is 13135251 + 14?
13135265
In base 12, what is -a4 - -bb75?
ba91
In base 14, what is 2 - -403ac3?
403ac5
In base 6, what is -11 + -1532202543?
-1532202554
In base 2, what is -111001010110111101000011 + 100?
-111001010110111100111111
In base 4, what is 312 + 120311200302?
120311201220
In base 6, what is 5430 - 2432502?
-2423032
In base 15, what is -1d18 - -272?
-1a96
In base 2, what is 10011 + -110010101000100000?
-110010101000001101
In base 15, what is 1561 + 63d7?
7948
In base 11, what is -19282 + 7a?
-19203
In base 11, what is 3550 + 26722?
2a172
In base 14, what is 753d1c6 + -2?
753d1c4
In base 16, what is -2b2e8842 - 1?
-2b2e8843
In base 11, what is 4 + -1043548a2?
-104354899
In base 4, what is 311112 + -1130331?
-213213
In base 5
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + 616, 3*i = -4*h + 97 for i.
31
Solve -8*v = -2*y + 80, 2190*v - 2193*v - 2*y = 41 for v.
-11
Solve -119*u - 2470 = 2*d + 741, -2*u - 4*d - 67 = -2*d - 15 for u.
-27
Solve -2*j + 5*r = -2798 + 2801, 2*r + 50 = -12*j for j.
-4
Solve 3*t + 95 = -622795*f + 622797*f, f = -73*t + 122 for t.
1
Solve -363 = 5*h - 3*a, -70 = h - 3266*a + 3268*a for h.
-72
Solve -3*u + 378 - 320 = -i, 0 = -4*u + 72 for i.
-4
Solve 46505*i = -5*g + 46503*i + 47, 2*g + 3*i = 21 for g.
9
Solve o - 10*m + 8*m = -27 - 15, -7 = 4*o - m for o.
4
Solve -356*l + 360*l + 13 = -r, 142*l + 160 = -2*r for r.
-9
Solve -4*s - 34 + 15 = -0*s + 49, 0 = z + 4*s + 71 for z.
-3
Solve -4899*a + 4903*a + 5*r - 9 = 0, 21*r - 117 = 3*a for a.
-4
Solve p - 3*z = 8, 4*p - 6780*z + 7 = -6781*z for p.
-1
Solve 12252*p - 12248*p + 80 = -19*x, -3*x = -4*p + 8 for p.
-1
Solve -71910*g - 4*i + 110 = -71915*g, -4*i + 38 = -g for g.
-18
Solve -3*v - 3*g + 32 + 145 = -6*g, 0*v + 177 = 3*v + 13*g for v.
59
Solve -3*h + 0*h - 60 = 0, -2*d - 77*h + 556 = -394 + 1219 + 1279 for d.
-4
Solve -322837*j + 322840*j = i - 5, -6 = -4*i - 2*j for i.
2
Solve -3*o - 68*k + 32 = -63*k, 0 = 2*o - 5*k - 38 for o.
14
Solve 5*q + 51943*y - 51941*y = 4, -2*q = 5*y - 10 for q.
0
Solve -2*z - 6*s + 91 - 75 = -2*s, 11*s - 16 = -2*z for z.
8
Solve 1939308*w = 1939306*w + 7*v - 12, 2*w + 30 = -2*v for w.
-13
Solve 17 = 5*z + 2*g, 77 = 5*z - 84*g - 35*g + 131*g for z.
1
Solve 3*b - g - 15 = -b, -47*g - 73 = -5*b - 44*g for b.
-4
Solve -5*m - 26 = -9*v, -2*v + 0*v + 8*v = 4*m + 22 for m.
-7
Solve -2*w + 394*m - 383*m - 144 = 0, 2*m = 3*w + 13 for w.
5
Solve -4*v - 129*n + 131*n + 96 = 0, -44 = 2*v + 6*n + 300 for v.
-4
Solve -f = -8*r + 26, 6999201*f - 6999200*f - 39 = -5*r for r.
5
Solve -4*s - 54*z + 6 = -53*z - 5, 52*s - 4*z + 112 = 0 for s.
-1
Solve -4*m = 5*k - 25, -98 = 39*k - 23*k - 13*k - 3*m - 59 for k.
-3
Solve 2*o - 3*p = 29, -12*o - 9*o = -9*o - p - 259 for o.
22
Solve -12783*t + 12820*t - 76 = 16*s, -2 = -3*t + s for t.
-4
Solve -43 = 13*n + g, 3*g - 7 = 5129*n - 5131*n + 17 - 5 for n.
-4
Solve 3*z - 195 = -9*v, -257*v + 3*z + 0*z = -514*v + 254*v + 69 for v.
21
Solve -249*z = 2*u - 253*z, 15 = 3*u - z for u.
6
Solve z - u = -0*z + 7, -104*u = -z - 96*u + 51 + 5 for z.
0
Solve 5*p + 108 = -b + 69, -4*p - 26*b - 384 = 0 for p.
-5
Solve m + 102*m - 45 = 5*l + 104*m, -13*l - 110 = 4*m for l.
-10
Solve -31 = 2*w - 3*g, -5*g + 499 = -3*w + 449 for w.
-5
Solve -80258*g + 80271*g = 3*r - 49, 0*g + 5*r + 12 + 1 = -2*g for g.
-4
Solve -395725*m + 395727*m - 40 = -3*q, -5*q + 100 = 5*m for q.
0
Solve -42 = 3*c - p - 76, 4*p - 6 = c + 8*p for c.
10
Solve 5*c = 9*x + 22 + 34, 3*c + 3*x = -11 + 53 for c.
13
Solve 12*h = -3*l + 14*h - 37, -21*h - 140 = 2*l - 629 for l.
3
Solve 4*c + 36 = 4*k - 12*k, 268*k - 111 = 306*k - c for k.
-3
Solve -46 = v - 3*w - 18, 0*v + 3*v - 4*w = -89 for v.
-31
Solve 0 + 8 = -2*h + n + 4*n, 1890*h + 1891*h - 3*n = 3776*h - 20 for h.
-4
Solve -4*i - 75 = 194*s - 169*s + i, 3*s = 2*i - 22 for s.
-4
Solve 8*z + 3*a = -152, -243 = 3*z + 12431*a - 12426*a for z.
-1
Solve 5*a - 11 - 1 = 3, -2*a + 3*a - 6 = j for j.
-3
Solve 20*b = -5*l - 55, 157*b + 8 = 150*b - 5*l - 8 for b.
-3
Solve 0*p + 79 = -4*p + 3*h - 8*h, 2*h = 2*p + 4252 - 4208 for p.
-21
Solve -3*h = 3*q - 24, 78 = -5*q + 5*h - 0 + 2 + 16 for q.
-2
Solve 38*l = 64*u - 63*u + 69, l = -l - 7*u + 53 for l.
2
Solve -y - 100 = -5*c + 3*y - 157, 3*y = 74*c + 956 for c.
-13
Solve 3*q - 4*g + 1 - 19 = -28, 17*q - 38 = -5*g + 16 for q.
2
Solve t - 3*s - 5 = 0, 162260*t - 4*s + 7 = 162259*t + 14 for t.
-1
Solve 0 = -2*v - 4, 6*v = 75*l - 76*l + 3*v + 5*v + 4 for l.
0
Solve b = 4*c - 11, -c + 183435 = -5*b + 183418 for c.
2
Solve -46*r - 100 = -k, -30 + 44 = r + 3*k - k for r.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (3*g - 3*g - 5*g)*(1 + 5 - 5).
-18*g - 2
Expand (1 - 2 + 0)*(-2*i**3 + 0 + 0) + (-i + 2*i + 0*i)*(-4*i**2 + i**2 + 2*i**2) + 49*i**3 + 36*i**3 - 124*i**3 - i + i - i**3.
-39*i**3
Expand -4*l**2 - 5*l**2 + 4*l**2 + (4 - 2 - 3)*(-1 + 2*l**2 + 1) - l**2 + 2*l**2 + 3*l**2 + (6*l - 4*l - l)*(-5*l + 2*l + l) + 2*l**2 + 6*l**2 - 5*l**2.
-2*l**2
Expand (-32*r - r + 8*r)*(-6 + 4 - 6) + 0 + 2*r + 0 + (2*r + 2*r - 3*r)*(1 + 1 - 1) + r - 2*r + 2*r.
204*r
Expand -2*x**5 - x**3 + x**3 + (0*x**2 + 5*x**2 - 4*x**2)*(-2*x**2 - x**3 + 2*x**2) + (-x**4 - x**3 + x**3)*(86*x - 168*x + 170*x).
-91*x**5
Expand (16*w**2 + 7*w**2 + 10*w**2)*(2*w - 15 + 15).
66*w**3
Expand (29*s + 15*s - 28*s)*(1 - 4 + 5) + (-3*s - 2*s + 3*s)*(0 + 3 - 4) - 5*s + 3*s + s.
33*s
Expand (30 + 16*s - 16 - 16)*(-1 + 1 - 7*s)*(-1 + 0 - 2).
336*s**2 - 42*s
Expand (-4 + 4 + q)*(-33 + 33 + 21) + 3*q - 10*q + 2*q.
16*q
Expand 3*g - 2*g + g + (3 - 3 - 1)*(14*g + 8*g + 2*g).
-22*g
Expand (1641 + 56*f - 1641 + (f - 4 + 4)*(-2 + 0 + 3))*(0 + 0 + 1).
57*f
Expand (4*q**2 - 5*q**2 - q**2)*(341*q**2 + 358*q**2 + 104*q**2).
-1606*q**4
Expand 701*y**2 + 62*y**3 - 701*y**2 - 3*y**3 + 2*y**3 + 0*y**3 + (-y**2 + 0*y**2 + 3*y**2)*(3 - 3 + 2*y) + 4*y**3 + 6 - 6.
69*y**3
Expand (3*b**2 + 0*b**2 - 2*b**2)*((-1 - b**2 + 1)*(2 - 2 + 1 + 2*b) - 76280*b + 76280*b - 479*b**3).
-481*b**5 - b**4
Expand 5*d - d**4 - 244 + 250 + 10*d**4 + d + d**4 - d + (-d**2 - d**2 + d**2)*(d**2 - 3*d**2 + 4*d**2).
8*d**4 + 5*d + 6
Expand (4 - 2 - 5)*(3*i - i + i) + (3 + 1 - 5)*(-3*i + 4*i + 4*i).
-14*i
Expand (1 - 6 + 3)*(n + 64 - 64)*(-5 - 3 + 1).
14*n
Expand (22*l - 12*l - 11*l - 15)*(-2*l + 4 - 4)*(6*l**3 - 11*l**3 + 2*l**3).
-6*l**5 - 90*l**4
Expand (-2 - 2 + 5)*(-8 + 4 - 2)*(-2*w + 4*w - 4*w).
12*w
Expand (-1 - 4*q + 3*q - q)*(-14*q + q - q)*(0*q - 2*q - 2*q).
-112*q**3 - 56*q**2
Expand (-4*b - b + 4*b)*(7*b - 4*b - 2040 + 2040).
-3*b**2
Expand (-6*t + 2*t + 3*t)*(0*t + t + 0*t)*(65 + 50 - 33 + 0 + 1 - 2 - 5 + 3 + 0 + 4 - 2 - 3 + (-3 + 1 + 1)*(-6 + 4 + 3) - 1 + 2 + 1).
-79*t**2
Expand -5*x + 9*x + x + 8*x + 5*x - 27*x + (2 + 2*x - 2)*(-1 + 0 + 0) + 0*x + 2*x - x.
-10*x
Expand (-t - 2*t**3 + t)*(-6*t**2 + 2*t**2 + 3*t**2) + 48*t**4 - 48*t**4 - 3*t**5.
-t**5
Expand (-3*a - 2*a + a)*(3 - 5 - 1)*(9 - 23 + 8).
-72*a
Expand (-11*d**2 + 13*d - 13*d)*(-1 - 5 + 3)*(-1 - 2 + 1)*(0 + 1 + 1 - 5 + 5 - 2 + (-3 + 4 - 2)*(-1 + 2 + 1)).
132*d**2
Expand (6 - 3 + 4)*(-3*n + 0*n + 4*n + (3 - 3 - n)*(2 + 0 - 3) + 2*n + 6*n - n)*(-5 + 0 + 4).
-63*n
Expand (-2*x + 9*x - 3*x)*(-3*x**2 - 7*x**2 - x**2 + (0*x**2 + x**2 + 0*x**2)*(-1 + 4 - 1) - 3 - x**2 + 3).
-40*x**3
Expand (c**4 + 0*c**4 + 0*c**4)*(-70*c - 44*c + 10*c).
-104*c**5
Expand (-o - 1 - 3*o + 3*o)*(9 - 12 + 31).
-28*o - 28
Expand ((-4 + 5 + 1)*(5 - 1 + 1) + 2 - 5 + 4)*(0*f + 0*f + f).
11*f
Expand (-2*k**2 + 6*k**2 - 3*k**2 + (-30*k + 17*k + 20*k)*(-3 + 3 + 2*k))*(-5*k + 2*k + k)*(k + k - 4*k).
60*k**4
Expand (11262 - 11262 + 164*x)*(2*x**2 + x + 0*x - 3*x**2).
-164*x**3 + 164*x**2
Expand -6*o**3 - 10*o**3 + 3*o**3 + 0*o**3 - o**3 + 3*o**3 + (o + o**2 - o)*(o + 3 - 3) - o**3 - o**3 + 0*o**3 + 2*o - 2*o**3 - 2*o - 4*o**3 + 2*o**3 + 7*o**3.
-9*o**3
Expand (2*g**3 + 0*g**3 + g**3)*(228*g - 121*g + 23*g).
390*g**4
Expand -74*o - 88*o - 343 + 341 + (-4 + 4 + 2*o)*(1 - 4 + 2) - 2*o + 4*o - 4*o.
-166*o - 2
Expand -7*k**2 - 73*k**2 - 185*k**2 + (-4*k + 2*k + 0*k)*(4 + k - 4).
-267*k**2
Expand (-j + 2*j - 4*j + (-4 + 0 + 3)*(2*j + 2*j - 5*j))*(3 + 3 + 3)*(-6*j + j + 4*j).
18*j**2
Expand -u**4 + 0*u**4 + 6*u**4 + (2*u - u + 0*u)*(0*u**3 + 2*u**3 + 0*u**3
|
{
"pile_set_name": "DM Mathematics"
}
|
and 2 e?
9/455
What is prob of picking 2 p and 1 d when three letters picked without replacement from ecedhdpcpppdcc?
9/182
Four letters picked without replacement from jjjjjjjfjfj. Give prob of picking 3 f and 1 j.
0
Three letters picked without replacement from ssssss. What is prob of picking 3 s?
1
Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {l: 11, s: 1}.
1/4
Three letters picked without replacement from {n: 2, a: 3, p: 1, f: 3, j: 2, o: 3}. What is prob of picking 1 j, 1 f, and 1 a?
9/182
Two letters picked without replacement from {x: 3, z: 8}. What is prob of picking 2 x?
3/55
Two letters picked without replacement from oovlejw. What is prob of picking 1 o and 1 v?
2/21
Four letters picked without replacement from wehnlnwnnhw. What is prob of picking 1 n, 1 e, and 2 w?
2/55
What is prob of picking 2 c and 1 m when three letters picked without replacement from {m: 6, c: 6}?
9/22
What is prob of picking 1 c and 1 e when two letters picked without replacement from yence?
1/5
What is prob of picking 2 s when two letters picked without replacement from {d: 6, u: 1, s: 3, h: 2, p: 2, a: 1}?
1/35
Four letters picked without replacement from {f: 2, p: 2, x: 2, a: 1, b: 1, h: 5}. Give prob of picking 2 f, 1 h, and 1 x.
2/143
Calculate prob of picking 2 f when two letters picked without replacement from {b: 1, j: 2, f: 14}.
91/136
Four letters picked without replacement from {q: 5, c: 1, o: 3, u: 5, v: 1}. What is prob of picking 2 u, 1 o, and 1 v?
2/91
Two letters picked without replacement from kkktttktttkttktk. What is prob of picking 2 k?
7/40
Four letters picked without replacement from {n: 1, f: 5, b: 1, d: 3, y: 4, g: 1}. Give prob of picking 1 b, 2 f, and 1 y.
8/273
Calculate prob of picking 2 o and 2 e when four letters picked without replacement from syeseooyy.
1/126
Two letters picked without replacement from kwkkkwwkqqqmwqwk. What is prob of picking 1 k and 1 m?
1/20
Calculate prob of picking 2 w when two letters picked without replacement from wmmmwwmwmm.
2/15
Two letters picked without replacement from kkxfxkfkxxfxxfkkkxkx. Give prob of picking 2 x.
14/95
What is prob of picking 2 u when two letters picked without replacement from {p: 1, u: 9, t: 10}?
18/95
Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, t: 5}.
3/28
Calculate prob of picking 1 m, 2 h, and 1 y when four letters picked without replacement from {w: 5, i: 1, y: 3, h: 2, e: 3, m: 1}.
1/455
What is prob of picking 1 o and 1 n when two letters picked without replacement from oorn?
1/3
What is prob of picking 1 u, 1 n, and 1 i when three letters picked without replacement from onoiodoinuini?
6/143
What is prob of picking 2 o when two letters picked without replacement from ojsgg?
0
Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {t: 3, m: 2, n: 4}.
2/9
Four letters picked without replacement from {e: 5, y: 4, u: 3}. What is prob of picking 2 y and 2 u?
2/55
Two letters picked without replacement from uccyluulrculuul. What is prob of picking 1 r and 1 u?
2/35
What is prob of picking 2 z when two letters picked without replacement from {u: 2, z: 2, t: 1, m: 1}?
1/15
Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, v: 1, w: 1, n: 1, c: 1, d: 2}.
1/21
Three letters picked without replacement from {b: 3, q: 7}. What is prob of picking 3 b?
1/120
Three letters picked without replacement from hzzhoagozz. Give prob of picking 3 z.
1/30
Four letters picked without replacement from bbbbhbbbbbbbbhbbbbb. Give prob of picking 3 b and 1 h.
20/57
Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {f: 7, b: 3, t: 1, d: 1}.
3/220
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rcaaiaaairaaaiaairr.
16/171
What is prob of picking 1 f and 1 t when two letters picked without replacement from iiptpptftt?
4/45
What is prob of picking 1 y and 2 m when three letters picked without replacement from nmnymmmnyvv?
4/55
What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 1, t: 5, c: 2, e: 3, g: 1}?
1/22
Calculate prob of picking 3 x and 1 e when four letters picked without replacement from ezvexixeiiveeevv.
0
Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {z: 2, e: 1, k: 1, q: 3}.
1/7
Four letters picked without replacement from {x: 1, z: 3, r: 4, b: 4, o: 4}. What is prob of picking 1 z and 3 o?
3/455
What is prob of picking 1 o, 1 g, and 1 r when three letters picked without replacement from {e: 5, g: 1, o: 1, r: 2, n: 1}?
1/60
Two letters picked without replacement from zkzkzzkkkzkz. Give prob of picking 1 k and 1 z.
6/11
What is prob of picking 3 o when three letters picked without replacement from {o: 12, l: 6}?
55/204
Four letters picked without replacement from {y: 3, t: 2, b: 5, d: 9}. Give prob of picking 4 d.
21/646
Three letters picked without replacement from sttssstssstsss. What is prob of picking 1 s and 2 t?
15/91
What is prob of picking 3 c when three letters picked without replacement from {c: 3, t: 1}?
1/4
Two letters picked without replacement from owwhg. What is prob of picking 1 w and 1 h?
1/5
Two letters picked without replacement from vnvjn. Give prob of picking 2 n.
1/10
Four letters picked without replacement from {o: 3, z: 4, u: 9}. Give prob of picking 1 o and 3 z.
3/455
Calculate prob of picking 3 z when three letters picked without replacement from {l: 3, z: 15}.
455/816
Calculate prob of picking 4 n when four letters picked without replacement from iiiiinnniinnniiiii.
1/204
Three letters picked without replacement from sooyyoyyyoswyoooss. What is prob of picking 3 y?
5/204
Four letters picked without replacement from vvvjjvvvjvj. What is prob of picking 4 j?
1/330
Calculate prob of picking 2 y, 1 g, and 1 b when four letters picked without replacement from {g: 2, e: 2, a: 4, y: 8, b: 3}.
14/323
What is prob of picking 1 m and 2 l when three letters picked without replacement from maaalamlaalmmlaam?
3/68
Three letters picked without replacement from ogoggggxwoxt. What is prob of picking 1 t, 1 w, and 1 g?
1/44
What is prob of picking 2 k and 2 i when four letters picked without replacement from igiiiikiggnikk?
9/143
Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {i: 1, g: 3, o: 3}.
3/35
Two letters picked without replacement from zxzzsxxz. What is prob of picking 1 z and 1 s?
1/7
Two letters picked without replacement from {g: 6, a: 2}. What is prob of picking 1 a and 1 g?
3/7
|
{
"pile_set_name": "DM Mathematics"
}
|
*3*s**2 - 63*h**3
Differentiate -3*t**4 - 70*t + 184 wrt t.
-12*t**3 - 70
Find the third derivative of 3*g**4 + 477*g**3 + 840*g**2.
72*g + 2862
Differentiate -1136*g**2 + 1702.
-2272*g
Differentiate 2*j**4*n - 2*j**3*n - 20*j*n - 21664*n wrt j.
8*j**3*n - 6*j**2*n - 20*n
What is the first derivative of 182*d*m**3 - d*m - 9*m**3 + 11 wrt d?
182*m**3 - m
What is the third derivative of f**3*j**5 - 2*f**3*j**2 - 1186*f**3 + 181*f*j**4 + f wrt j?
60*f**3*j**2 + 4344*f*j
What is the second derivative of -520*z**2 + 4*z - 183?
-1040
What is the third derivative of o*w**5 - 43*o*w**3 - 2*o*w**2 + 60*o*w + 2*w**3 wrt w?
60*o*w**2 - 258*o + 12
What is the second derivative of -2760*b**3*h**4 + 2*b**3*h - 2*b**2 + 12*h wrt h?
-33120*b**3*h**2
Find the third derivative of 274*w**5 + 216*w**2.
16440*w**2
What is the second derivative of -d**3*j**2 - d**3*j - 5*d**2*j**2 + 22*d*j**3 + 2*d*j - 21*j wrt j?
-2*d**3 - 10*d**2 + 132*d*j
Find the second derivative of -j**4 + 200*j**2*y**2 - j**2*y - j + 36*y**2 wrt j.
-12*j**2 + 400*y**2 - 2*y
What is the derivative of -8*g*m*n + g*m - 2*g*n + 3*g + 12*m*n - 221*n wrt g?
-8*m*n + m - 2*n + 3
What is the second derivative of -1228*a**2*x - 13*a - 6*x + 2 wrt a?
-2456*x
What is the first derivative of 13*j*l*n**3 + 2*j*l + j - l*n - 5*l - 24*n**4 + 11 wrt n?
39*j*l*n**2 - l - 96*n**3
What is the third derivative of -2*i*n**4 - 76*i*n**2 - 6*i + 97*n**6 wrt n?
-48*i*n + 11640*n**3
Find the third derivative of d**2*s**4 + 9*d**2*s**2 - 3862*d*s**4 - 8*d*s**2 - 3*s**2 wrt s.
24*d**2*s - 92688*d*s
Differentiate 17*g*m + 63*g - m**2 with respect to m.
17*g - 2*m
What is the third derivative of 51*l**3*s**2 - 5*l**3*s - 3*l**2*s + l**2 - 127*l*s**2 wrt l?
306*s**2 - 30*s
Differentiate -228*j*k**3 - j*o - 2*k**3*o - 707*k**2*o wrt j.
-228*k**3 - o
Find the second derivative of -15753*i**2 + 18*i - 104.
-31506
Differentiate -b**2*v**2 + b**2 + 1925*b*v**2 - 143*b + 2 with respect to v.
-2*b**2*v + 3850*b*v
What is the second derivative of 5965*n**2*z + 48*n*z - n - 3*z - 1 wrt n?
11930*z
Differentiate -3615*v**2 + 5359 with respect to v.
-7230*v
What is the derivative of -4*l**3 - 40*l**2*t - 4*t + 27 wrt l?
-12*l**2 - 80*l*t
Differentiate -29*a*y + 2*a - 12*y - 4 wrt a.
-29*y + 2
Find the second derivative of 2802*v*z**3 - 4557*v*z + z wrt z.
16812*v*z
Find the first derivative of -550*w + 113.
-550
Differentiate p**2*u + 2*p**2*w**2 - 427*p**2 - 4*p*u**3*w + 40*u*w**2 wrt u.
p**2 - 12*p*u**2*w + 40*w**2
Find the second derivative of -3*d*v**4 - 14*d*v**3 - d*v + 57*d - v**4 - 1 wrt v.
-36*d*v**2 - 84*d*v - 12*v**2
What is the third derivative of -38*k**5 - 3*k**4 + 4*k**3 - k**2 - 64*k + 10 wrt k?
-2280*k**2 - 72*k + 24
Differentiate 7*k*s**2 + k*s - 111*k - 2*s**2 + 15*s + 1 wrt s.
14*k*s + k - 4*s + 15
Differentiate 1045*v**4 - 957 wrt v.
4180*v**3
Find the third derivative of -2*z**4 + 915*z**3 - 130*z**2 + 5*z.
-48*z + 5490
Differentiate 855*c**2 - 2*c - 72.
1710*c - 2
What is the first derivative of -4*f**2*h*r - f**2*h - 5*f**2*r + 7*f**2 - 2*f*h + h*r**2 wrt r?
-4*f**2*h - 5*f**2 + 2*h*r
Differentiate 27*a*h + 2*a*u**2 - 4*h*u**3 + 2*h*u + 4*u**3 + 43 with respect to h.
27*a - 4*u**3 + 2*u
What is the second derivative of d**3 - 92*d**2*g**2 - 3*d**2*g*t - 35*d*g**2 + 2*d*t - 2*g**2*t wrt d?
6*d - 184*g**2 - 6*g*t
What is the third derivative of 36*y**5 - 2*y**4 - 6*y**2 - 4*y + 23 wrt y?
2160*y**2 - 48*y
What is the third derivative of 2*f**5 + 1898*f**3 + 380*f**2?
120*f**2 + 11388
Find the third derivative of -2*u**3*z**3 - u**3*z**2 - 77*u**3 - 3*u**2*z**5 wrt z.
-12*u**3 - 180*u**2*z**2
Differentiate 74*y**2 - 3*y - 74 wrt y.
148*y - 3
Find the first derivative of 3*k**2*u**3 + 8*k**2 + 154*k - 306*u**4 wrt u.
9*k**2*u**2 - 1224*u**3
What is the third derivative of -191*p**3*z - 9*p**2*z - p**2 - 3*z wrt p?
-1146*z
What is the third derivative of 13931*y**3 - 8012*y**2?
83586
Find the first derivative of 615*k**4 + 671 wrt k.
2460*k**3
Find the third derivative of -f*i*w**2 + 2*f*o*w - 5*f*o + 13*f*w**3 + 14*i*o*w**3 + i*w**3 + 2*o*w**3 + w**2 + 10 wrt w.
78*f + 84*i*o
|
{
"pile_set_name": "DM Mathematics"
}
|
*p + f, i + 2 = -4*p. Is i a composite number?
True
Suppose 60 = -p + 6*p. Suppose -5*l - p = -177. Is l a composite number?
True
Let g = 24 - 13. Suppose -3*j - 4*o - 16 = o, o + g = 2*j. Suppose j*y = -5*f + 120, f = 4*y + 2*f - 143. Is y a composite number?
True
Let q(o) = 8*o**3 - 4*o**2 + 6*o - 3. Suppose 0 = -2*z + 3*g - 2*g + 9, 0 = -z - 4*g. Is q(z) a prime number?
False
Let k = 6 + -8. Is k - (-6)/3 - -58 a prime number?
False
Let k be (-2)/9 - 33/(-27). Suppose 2*d = 3 + k. Suppose d*l = 4 + 126. Is l a composite number?
True
Let x = 90 + 4. Is x composite?
True
Let k = -419 + 798. Is k prime?
True
Let n(l) = l**2 - 5*l + 3. Let j(m) = -m**3 - 4*m**2 - 3*m + 4. Let k be j(-3). Let z be n(k). Is ((-39)/6 - z)*-2 a composite number?
False
Let p = 16 - 10. Suppose p*t - 7*t + 93 = 0. Is t prime?
False
Let o(n) be the third derivative of 9*n**4/8 - 13*n**3/6 - 4*n**2. Is o(6) prime?
True
Let z(y) = 3*y + 85 - 2*y - 2*y + y**2. Let w be z(0). Let r = w + -48. Is r a prime number?
True
Let j be 6/(-15) + 189/35. Suppose -2*m - 344 = -p, -2 = 2*m - 4. Suppose -249 - p = -j*i. Is i composite?
True
Suppose 4*p + 5*w = 4*w + 12394, 3*w + 6204 = 2*p. Is p a prime number?
False
Let l(c) be the second derivative of -63*c**5/10 - c**3/3 - c**2/2 - 2*c. Let s be 3/(-3) - 0/4. Is l(s) a prime number?
True
Suppose 0*n + 6 = 2*n. Suppose -h + 1020 = n*h. Suppose 2*d - h = -3*d. Is d composite?
True
Suppose -3*s + 877 = -2*v, -s + 5*v + 1174 = 3*s. Is s a composite number?
True
Suppose -o + 6*o + 25 = 0. Let x(q) = 2*q**2 - 2*q + 6. Let n be x(-6). Is (-2)/(-1) + o + n a prime number?
False
Let m be (-1)/(0 + 3/(-6)). Suppose 0 = m*t - 282 + 56. Is t a composite number?
False
Let x(a) = -a**3 - 3*a**2 - 5*a - 7. Let l be ((-6)/(-7))/((-1)/7). Is x(l) a composite number?
False
Let n(o) = -38*o + 1. Is n(-2) prime?
False
Suppose 0 = -k - 4*k + 5. Let p(l) = 11*l**2 + 0*l**2 - 3*l + l + 27*l**2 + 1. Is p(k) prime?
True
Suppose -3*c + 5*l + 377 = 0, 3*c + 0*c + 2*l - 391 = 0. Suppose 2*j + c = 383. Is j composite?
False
Is (1908/(-8))/(-9)*14 a composite number?
True
Let p = -9 - -30. Let x = -2 + p. Is x a prime number?
True
Suppose 2*k - 280 = -o, 2*o = k + 6*o - 133. Is k prime?
False
Let j(t) = -141*t - 2. Let i be j(-12). Let q = i + -939. Is q a composite number?
False
Let o(b) = -3*b**3 - 2*b**2 - 2*b. Let t be o(-2). Suppose -5*f + 0*f - 5*x = -t, 0 = 3*x + 3. Suppose -15 + 50 = f*a. Is a a prime number?
True
Suppose 0 = -2*i - 0*g - 2*g, 2*g + 12 = 2*i. Let f(d) = d - 2. Let c be f(4). Suppose 174 = 3*v + 3*b, -i*v - 49 = -4*v + c*b. Is v composite?
True
Suppose 3*i = 7*i + 12. Let z be ((-18)/8)/(i/12). Is (-231)/(-9) + (-6)/z a prime number?
False
Let d = 77 + 1022. Is d a composite number?
True
Let u(b) = -b**3 + 30. Let z be u(0). Suppose -7 = -3*x + 2*x. Let g = z - x. Is g prime?
True
Let m be (-2 - 6) + 2/2. Is -67*(m + 3 + 3) prime?
True
Is 6/((-6)/(-3109)) - 0 a composite number?
False
Let z = 47 + 70. Is z/6*1*2 a prime number?
False
Suppose -1958 + 673 = -5*g. Is g composite?
False
Let i(m) = m**2 - 5*m + 22. Is i(12) a prime number?
False
Let v = -11 - -15. Suppose -23 = -s - v*p, -s - 3*s = 4*p - 92. Suppose 2*a + 9 = s. Is a a composite number?
False
Let g be (-2)/(-5) - (-1864)/40. Let m = g + 30. Is m a composite number?
True
Let t(r) = -144*r - 21. Let o be t(-6). Suppose 5*y - o = 172. Is y a prime number?
False
Let x(o) = -o**3 + 9*o**2 + 3*o - 12. Let n be x(9). Suppose 2*t - 3*t = -n. Is t composite?
True
Let q = 1 - -3. Suppose -4*m + 66 = 2*g, 4*g - 158 = m + q*m. Is g a composite number?
False
Is (-372)/10*(-10)/4 prime?
False
Let l be (-38)/(-14) + (-4)/(-14). Let s be ((-4)/(-12))/((-3)/(-9)). Let y = l - s. Is y prime?
True
Let x be (-95)/(-1*(2 - 1)). Suppose 0 = 5*m - 5*j, 0 = 2*m + 2*m + 2*j - 12. Is m*(x/(-2))/(-5) a composite number?
False
Is -1 + (-1)/(3/(-1068)) a prime number?
False
Let m(i) = -i**2 - 3*i - 4. Let c(k) = k + 9. Let a be c(-12). Let w be m(a). Let h(x) = -x**3 - 2*x**2 - 6*x - 3. Is h(w) prime?
True
Is 381/(-2)*6/(-9) a composite number?
False
Let y(j) = 6*j - 3. Let o be (-1)/(-1*1/3). Is y(o) composite?
True
Let l(k) = -5 + 2*k + 4 + 4*k**2 - 8*k. Is l(-4) prime?
False
Let h(d) = -d**3 + 7*d**2 - 11*d + 6. Let j be h(7). Is (-1)/(143/j - -2) a composite number?
False
Suppose 0 = -20*n + 17*n + 4443. Is n prime?
True
Let j(m) = m**3 - 8*m**2 + 5*m + 4. Let c be j(4). Let x = 34 - c. Suppose k - x = -5*n + 28, 274 = 2*k - 4*n. Is k prime?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
)/3 - ((-17845)/903 - -20)?
-4/7
(0 - (-4 + 6))*(-3 - (-135)/42)
-3/7
Evaluate -16 - (15/(-3) + (-260)/(-26) + -8).
-13
Calculate (17 - (-3700)/(-160)) + (-36)/(-6).
-1/8
Evaluate (-184)/138 - (-6 + (-1400)/(-147)).
-34/7
((-1384)/156 + 9)/(6*(-30)/(-648))
6/13
(2*4/(-16))/(12/16 + -1)
2
Evaluate (-41)/200 + 596/7450.
-1/8
Evaluate 240/(-90)*42/28.
-4
Evaluate (-5)/(5/(-3)) + ((-2030)/(-28))/(-29).
1/2
(408/170)/((-2)/(-10))
12
What is the value of (-2397)/(-102) - (-1 - 1/(-2))?
24
((260/(-30))/2)/(-13)
1/3
Calculate ((-8)/(-44))/(23/759) - -3.
9
Calculate (-3 - (15/(-30))/((-15)/155)) + 9.
5/6
(-18)/75 - (-14036)/(-1100)
-13
What is the value of -16 - (5 - 2270/110)?
-4/11
(15 - -1 - 8) + 85*3/(-33)
3/11
Evaluate 5 + ((-56)/(-18) - (-79 + 88)).
-8/9
Calculate -28 - 3625/(-100) - 8.
1/4
What is the value of (1388/(-50315))/(-1*6/15)?
2/29
What is the value of 28/(-7) + -1 - 111/(-24)?
-3/8
What is the value of 1407/462 - (-4)/(-88)?
3
What is 4570/(-2625) - ((-8640)/168)/30?
-2/75
Evaluate 1379/28959 - 9/(-7).
4/3
Evaluate ((-513)/8892)/((-16)/52).
3/16
What is (-105)/(-35) - (3/(-39) + 3150/(-117))?
30
What is the value of (43 - 49) + (75/18 - (1 + -3))?
1/6
What is 13/(-3) - ((-418)/(-57))/(-22)?
-4
What is the value of 15/10 + -1*(-17)/(-10)?
-1/5
(9/(-108)*-12)/((-700)/65 - -11)
13/3
Evaluate (26/(19 - 6))/(-1 + -101).
-1/51
Calculate ((-1080)/126)/(75/210).
-24
Evaluate (0 + -1 - (-52)/12)*3/(-7).
-10/7
Calculate -15*(50/(-15) + 4).
-10
What is 18 - (-21)/(-2)*(644/(-42))/(-23)?
11
Calculate 4/(-9)*7/(-24)*18.
7/3
Calculate (4 - (1 - 4)) + (-97)/13.
-6/13
Evaluate ((-22)/(-2))/((6 - 12)/2 + 2).
-11
What is 42/(-15)*((-44)/(-10) - (-21)/35)?
-14
What is (-1443)/(-39) + 1/((-6)/108)?
19
Calculate (4 - (-138)/(-33)) + (-3168)/(-121) + -9.
17
What is the value of (-2 - (5/(-1) + 4))*(-48 + 62)?
-14
Evaluate (-258)/(-4)*(-18)/972 + (-23)/(-276).
-10/9
24/858 + 21/((-2730)/(-20))
2/11
Evaluate ((-5013)/945 - 6/63)*(-42 + 37).
27
What is the value of (-65)/78 + (-59)/(-6)?
9
Calculate (12 + -15)*-1*3/(-42).
-3/14
(-1)/((-12)/(-16))*114/76
-2
Calculate 8/((-36)/(-36)*-2).
-4
Evaluate ((-4)/(-6))/((-82)/9225*-275).
3/11
Calculate ((-12)/378)/((-2587)/234 + 11).
4/7
(-19)/((-1330)/(-40))*(-1 + -13)
8
Calculate ((-16)/6)/(-11 - (-186)/18).
4
What is 318/(-22) - (-2955)/197?
6/11
What is ((-6)/(-8) - -1)/(42/8 + -6)?
-7/3
Evaluate 810/1512 + 0 + 1/(-4).
2/7
(1/(-3))/(9/243)*2/(-21)
6/7
Evaluate 23 + -16 + 23/((-552)/160).
1/3
What is 650/(-100)*24/(-13)?
12
What is (16 - (-1 + 21))/((-3)/(-2) - 2)?
8
What is ((-400)/(-88) + -4)/(-5*(-3)/165)?
6
20/15 + 75/(-90)
1/2
Calculate ((-275)/(-91) + -3)*385/220.
1/26
Calculate -66 - (-1034)/22 - -1.
-18
Calculate (65 - 77 - (-126)/(-30))/((-6)/10).
27
What is (-4945)/(-215) - (-1744)/(-76)?
1/19
What is the value of (((-1)/4)/((-65)/4))/(5/25)?
1/13
Evaluate 7/(-42) + 23*3/198.
2/11
What is the value of (-2513)/718*12/(-14)?
3
What is (216/5796)/((-1)/(-13)) + 20/(-35)?
-2/23
(10 + 0)*(352 + -351)
10
104/(-260) + (-1)/(-5)
-1/5
What is the value of 4*((-9 - (-153)/18) + -5)?
-22
-9 + ((-4784)/(-276))/((-4)/(-3))
4
What is the value of 3 - 5 - -10*(-9)/45?
-4
Evaluate (-102)/45 - (-4 - 68/(-20)).
-5/3
Evaluate 2/156*4*432 + (-174)/1131.
22
What is the value of (1 + -4)*(2670/2268 + (-14)/12)?
-2/63
Calculate (-2)/(((-11)/22)/(-1)).
-4
What is 1715/294 + (-2)/(-3)*-9?
-1/6
What is the value of (-392)/(-126)*(-21 - (-996)/48)?
-7/9
(-184)/(-24) - 15 - -6
-4/3
Evaluate (-34 - (-7938)/231)*1/(-8).
-1/22
Evaluate (10/105)/(76/(-114)).
-1/7
-3 + -6 - -4*(-5 - 24/(-6))
-13
What is the value of 854 - 876 - (-1 + 8)?
-29
Evaluate 1519/196 + (-6)/(-24).
8
What is 20/320*-52 + (-1000)/(-288)?
2/9
Calculate 276/(-6762) - (-4)/196*-243.
-5
Evaluate (-5)/(-2)*((-165)/440 + (-132)/160).
-3
76/22 + 162/297 - (2 - -13)
-11
What is the value of (-6 - (3 + -13)) + 1800/(-912) + -2?
1/38
(18 - 3) + 4032/(-406) + -5
2/29
What is the value of (2340/(-5))/36 - 54/(-4)?
1/2
Evaluate (1610/1127)/((-5)/21).
-6
What is the value of (10/(-4))/(553/158)*-7?
5
255/(-1360)*(-2)/6
1/16
Evaluate (-2)/(-29) + 16832/(-1856).
-9
Calculate (-393)/524 - 61/(-28).
10/7
What is the value of ((-66)/(-9))/(-7*(549/189 + -3))?
11
Calculate 52/(-4) - -3 - (-260)/(-52).
-15
1 - (-9 + (-207)/(-72)*4)
-3/2
(473 - 458)*(-4)/3
-20
What is the value of (-12 + (-1575)/(-132))/((-18)/72)?
3/11
What is -1 + 3 + -20 + (-198)/(-11) + -12?
-12
What is (-3 - (-156)/22) + 3/(-1)?
12/11
Evaluate (-15 - (-399)/28) + (-35)/(-20).
1
What is 7*((-42)/35*5)/(-9 - 5)?
|
{
"pile_set_name": "DM Mathematics"
}
|
6*w**2
Let r(p) be the second derivative of p**4/6 + p**3/3 + p**2/2 + 2625*p + 2. Let j(q) = 1. Calculate -2*j(b) - r(b).
-2*b**2 - 2*b - 3
Let g(a) = 14*a - 5. Let b = 89 + 34. Let u(n) = n - 68 + b - 56. What is -g(t) + 5*u(t)?
-9*t
Let o = 7 - 15. Let x be ((-15)/20)/((-1)/8*2). Let n(b) = 5*b - 1. Let t(k) = -2*k - 6*k + 22*k - 2 + 0*k. Give o*n(u) + x*t(u).
2*u + 2
Let q(g) = 9*g**3 + 12*g**2 + 5*g - 324. Let m(h) = -2*h**3 - 3*h**2 - h + 2. Give -5*m(a) - q(a).
a**3 + 3*a**2 + 314
Let h(d) = 74*d**2 - 287*d - 35. Let b(a) = -23*a**2 + 96*a + 11. Calculate 19*b(q) + 6*h(q).
7*q**2 + 102*q - 1
Let k(m) = 77*m - 4. Let r(c) = 64*c - 6. Let j(q) = -2*k(q) + 3*r(q). Let b(h) = -15*h + 4. Determine -12*b(u) - 5*j(u).
-10*u + 2
Let n(h) = -6*h - 6. Let i(r) be the third derivative of -7*r**4/24 - 5*r**3/6 - 4*r**2 + r + 496. Calculate -4*i(u) + 5*n(u).
-2*u - 10
Let f = 4 + -3. Let z(l) be the second derivative of l**4/12 + l**2/2 + 8*l - 39. Let k(t) = -7*t**2 + 3*t - 4. What is f*k(c) + 5*z(c)?
-2*c**2 + 3*c + 1
Let u(l) be the first derivative of l**4/4 + 4*l - 3991. Let i(s) = 4*s**3 - s**2 + 21. Let g = -4 - -6. What is g*i(c) - 11*u(c)?
-3*c**3 - 2*c**2 - 2
Let a(t) = 2*t**3 - 357*t**2 - 2. Let f(y) = -4*y**3 + 14*y**2 + y + 1. Give -a(v) - 2*f(v).
6*v**3 + 329*v**2 - 2*v
Let n(p) = -p - 2*p + 2*p + 565*p**2 - 296*p**2 + 1 - 270*p**2. Let c(k) = -4*k**3 - 3*k**2 - 3*k - 8. What is -c(w) + 3*n(w)?
4*w**3 + 11
Let z(i) = -6*i**3 + 9*i**2 + i. Let u(b) = -24*b**3 + 37*b**2 + 5*b + 3. What is -2*u(w) + 9*z(w)?
-6*w**3 + 7*w**2 - w - 6
Let y(k) = -2*k**3 + 135*k**2 + 5*k + 21. Let z(s) = 5*s**3 - 406*s**2 - 14*s - 58. Calculate 11*y(v) + 4*z(v).
-2*v**3 - 139*v**2 - v - 1
Let k(g) = -240*g**2 - 2*g - 13. Let z(f) = -120*f**2 - f - 7. Calculate 5*k(d) - 9*z(d).
-120*d**2 - d - 2
Let r(b) = -1553*b**2 - 4*b + 10. Let f(v) = -35720*v**2 - 94*v + 235. Calculate 4*f(x) - 94*r(x).
3102*x**2
Let u(l) = -31*l**2 + 5. Let a(c) = -1147*c**2 + 186. Suppose 5*o + 4*k - 930 = 0, -372 = -2*o + 131*k - 136*k. Determine o*u(f) - 5*a(f).
-31*f**2
Let p(m) = m**2 + 5*m + 5. Suppose 0 = -2*v - v - 4*z - 7, -2*z = -4. Let d(g) = -181*g**2 + 4*g + 14*g**2 + 167*g**2 + g**2 + 4. What is v*d(h) + 4*p(h)?
-h**2
Suppose 0 = -32*u + 35*u - 33. Let q(v) be the first derivative of 2*v**2 - 4*v - 1343. Let y(j) = j**2 + 11*j - 11. Determine u*q(s) - 4*y(s).
-4*s**2
Let q(k) = -k**3 - k**2 - k. Let t(a) = 6*a**3 + 9*a**2 + 4*a. Let b be 5 + -17 + 5 + 11. Determine b*q(j) + t(j).
2*j**3 + 5*j**2
Let z(p) = 17*p**2 + 85*p + 5. Let h be z(-5). Let f(g) be the third derivative of 17*g**6/120 - 5*g**2. Let o(c) = 162*c**3. Give h*o(i) - 48*f(i).
-6*i**3
Let y(l) = 7*l - 1. Let n(g) be the second derivative of g**3/2 + 26*g - 10. Let w be ((-1)/(-2))/(1/(-4)). Let p = w + -3. What is p*n(v) + 2*y(v)?
-v - 2
Suppose 7 + 1 = w. Let s(q) = 4*q + 2. Let a(j) = j + 13. Let r(n) = 36*n + 45*n - 11 - 83*n. Let u(b) = 4*a(b) + 5*r(b). What is w*s(k) + 5*u(k)?
2*k + 1
Let y(t) = -78*t - 4. Let c(a) = -5*a + 1. What is c(f) - y(f)?
73*f + 5
Let i be (-21*(-16)/(-48))/7. Let t(y) = -y**3 - y**2 + 1. Let q(m) = 2*m**3 + 6*m**2 + m - 4. Determine i*q(c) - 6*t(c).
4*c**3 - c - 2
Let v(s) = -5381*s**3 + 12*s**2 - 6. Let z(r) = -82221678*r**3 + 183362*r**2 - 91681. What is 91681*v(q) - 6*z(q)?
-5393*q**3
Let a(t) = 34 + 30 - 131 + 37 + 31. Let q(h) = 25*h**2 - 3. Give -3*a(s) - q(s).
-25*s**2
Let p(f) = -11*f**3 + 7*f**2 + 23*f + 24. Let v(d) = 12*d**3 - 6*d**2 - 21*d - 20. Give 5*p(x) + 6*v(x).
17*x**3 - x**2 - 11*x
Let r(p) = -2*p**2 - 84*p + 570. Let o be r(-48). Let f(k) = 24*k + 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
implify ((g/(g*g**(-1/3)*g)*g)**(-11)/(g**1/(g*g**6)))**20 assuming g is positive.
g**(140/3)
Simplify (k**(-38)*k**(5/6))**(-2/155) assuming k is positive.
k**(223/465)
Simplify ((n**(2/5)*n)/n)**24*(n**(-1)/n)/n**(-2/7) assuming n is positive.
n**(276/35)
Simplify (t**(2/9))**12/(t**6)**(-18) assuming t is positive.
t**(332/3)
Simplify (f/f**(-4/13))/f*f*((f/f**(-2/9))/f*f*f)/f*f**7*(f*f*f**13*f*f*f)/f assuming f is positive.
f**(3104/117)
Simplify (f**(-1/16)*f)**41*f**(2/19)*f*f**(6/17) assuming f is positive.
f**(206181/5168)
Simplify (((o*o**(-6/11)*o*o)/((o**(-3/7)/o)/o))/(o/(o/(o*o**5))*o*o**(-2)))**(13/2) assuming o is positive.
o**(-117/154)
Simplify (((b**(-1))**(-16))**(-1/12))**(-17) assuming b is positive.
b**(68/3)
Simplify (((f*f*f/(f*(f*f*f/f**(-10/7)*f*f)/f))/(f/(f*f**(-5))))**(3/11))**43 assuming f is positive.
f**(-7611/77)
Simplify (q**(11/2)*q**(-16))/(q/q**(-7))**3 assuming q is positive.
q**(-69/2)
Simplify (g/g**(-28)*g**3)/(g*g**(2/29)/g*g/(g**(-29)*g)) assuming g is positive.
g**(85/29)
Simplify (n**(4/9)/n)**(-5)*(n/n**(-1/7))**(1/10) assuming n is positive.
n**(911/315)
Simplify ((a/(a/(a*a/a**(1/11)*a)))/a**(-11))/((a**(-19)/a)/(a/a**(-8/9))) assuming a is positive.
a**(3544/99)
Simplify (i**27*i/(((((i/(i*(i*i**18)/i))/i)/i)/i)/i*i))**(-8/15) assuming i is positive.
i**(-392/15)
Simplify (p**28*p*(p/p**(-26))/p)**(1/39) assuming p is positive.
p**(55/39)
Simplify ((y**1/y*y)/y)/(y*(y*y/y**(-5))/y*y)*((y*y/(y/y**(1/7)))/y)**(2/9) assuming y is positive.
y**(-502/63)
Simplify ((v**(-11)*v)**(-47))**(-21) assuming v is positive.
v**(-9870)
Simplify ((z**15*z)/z*z)**29*z**(-3/5)*z/((z*z**(10/3)*z)/z) assuming z is positive.
z**(6901/15)
Simplify ((x/(x**13*x))/((x**(1/7)*x)/x))/((x/x**(-2/15))/x**(-3/13)) assuming x is positive.
x**(-19802/1365)
Simplify (y**20*y**9)/(y**(-26)/y*y**(1/5)) assuming y is positive.
y**(279/5)
Simplify ((r**(-2/7))**(-3/14))**(-10/7) assuming r is positive.
r**(-30/343)
Simplify k**(-16)/k**(-1/5)*k**12/(k**(2/9)/k) assuming k is positive.
k**(-136/45)
Simplify ((l/((l*l*l*l/((l**(-2)/l)/l))/l)*l)**(2/65)/((l/(l*l/(l*l**7/l)))/(l**3/l)))**6 assuming l is positive.
l**(-324/13)
Simplify (y*y**(-2/29)*y)**9*y**(-1/17)/(y/y**(-2/33)) assuming y is positive.
y**(264532/16269)
Simplify ((z/(z*z*z*z*(z*z**6)/z*z))/z)/(z*z**(-19))*((z*z**(-4/5)*z)/z)/(z*z**(-12/7)) assuming z is positive.
z**(277/35)
Simplify d**(-4/19)/(d/(d*d**(1/4)))*(d/d**(-3/5))/(d**(1/30)/d) assuming d is positive.
d**(2971/1140)
Simplify (x**(-12))**32/((x*x*x**(-7/5)*x)/x)**34 assuming x is positive.
x**(-2022/5)
Simplify ((((t/t**(-1/9)*t)/t)**(1/21))**(4/7))**(-28) assuming t is positive.
t**(-160/189)
Simplify ((c/(c**(-2/7)*c))**(-37)*(c*c/(c*c**(-2/5)/c))**(-6))**(-2/9) assuming c is positive.
c**(1748/315)
Simplify (v**(-1/2))**(1/13)*(v**(-2/13)/v)/(v/(v**(2/15)*v)) assuming v is positive.
v**(-413/390)
Simplify ((w/((w*w**(-6))/w))/w**(-1/5)*(w*w**(-5/2))/(w/(w**(9/5)*w)*w))**(2/3) assuming w is positive.
w**(13/3)
Simplify b**10*((b**(2/59)/b*b)/b*b)/b*(b**0)**(-40) assuming b is positive.
b**(533/59)
Simplify (g**(2/11)*g*g**(-22))/((g*(g*g**(-1/22))/g)/g**(-8/9)) assuming g is positive.
g**(-4487/198)
Simplify (u**(-30)/u**22)/(u*u**(-24)*u*u**(21/8)) assuming u is positive.
u**(-261/8)
Simplify (h**(-3/7))**(-12/17)/(h**7*((h**(1/2)/h)/h*h)/h) assuming h is positive.
h**(-1237/238)
Simplify x**(-13)*x**(-21)*(x*x*x*x/(x**(-4)/x)*x)/(x*x/x**(-3/7)*x) assuming x is positive.
x**(-192/7)
Simplify (i**(8/5)/i**(2/7))/(i**(-18/5)/i*i)**(-6/11) assuming i is positive.
i**(-50/77)
Simplify ((b/b**(1/4))**(1/5)*(b*b/b**(1/7))/(b/(b*b/b**2)))**(3/19) assuming b is positive.
b**(423/2660)
Simplify (p**9/(p**(-2/3)*p*p*p))/(p**(-1/51)/p)**(1/3) assuming p is positive.
p**(1072/153)
Simplify ((g/((g*(g/g**(2/9))/g)/g))/(g*g*g*g*(g/g**18)/g))/((g*(g**(-4)/g)/g)/g**(-1/14)) assuming g is positive.
g**(2539/126)
Simplify (w*w**(-22)*w*w*w*((w*w*w**(-5/9)/w*w*w)/w)/w*w)/((w/w**9)/w*w**(4/11)/w) assuming w is positive.
w**(-685/99)
Simplify o**(-12)*o**(-8)*(((o/(o**4/o))/o)/o)/(o*o*o/((o*o**(-10/9)*o*o)/o)) assuming o is positive.
o**(-235/9)
Simplify ((t/(t*(t/(t/t**(-6)))/t))/t**(-6)*((t**6*t)/t)/(t**(-6)/t))**19 assuming t is positive.
t**494
Simplify n*n/(n**(-3/4)/n)*n**(-10)*n*(n/((n/n**8)/n)*n)/n**(-5/2) assuming n is positive.
n**(29/4)
Simplify (((c*c**7/c)/c**6)/(c*c*c**1*c)**(19/4))**(5/19) assuming c is positive.
c**(-90/19)
Simplify (b/((b*b**9*b)/b)*b**14)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
s before 2:44 PM?
5:26 AM
How many minutes are there between 4:56 AM and 12:33 PM?
457
How many minutes are there between 6:30 AM and 10:41 AM?
251
What is 703 minutes after 4:13 PM?
3:56 AM
How many minutes are there between 7:51 AM and 4:14 PM?
503
What is 240 minutes before 4:06 AM?
12:06 AM
What is 595 minutes before 11:05 PM?
1:10 PM
How many minutes are there between 1:46 PM and 10:59 PM?
553
How many minutes are there between 10:07 AM and 10:55 AM?
48
How many minutes are there between 5:44 PM and 2:00 AM?
496
How many minutes are there between 6:06 PM and 6:05 AM?
719
How many minutes are there between 10:44 AM and 4:12 PM?
328
What is 309 minutes after 1:28 PM?
6:37 PM
What is 493 minutes after 4:50 PM?
1:03 AM
How many minutes are there between 2:10 PM and 2:12 PM?
2
What is 406 minutes after 3:34 PM?
10:20 PM
What is 331 minutes after 11:57 AM?
5:28 PM
What is 49 minutes before 9:23 AM?
8:34 AM
How many minutes are there between 6:51 PM and 5:43 AM?
652
What is 159 minutes before 10:58 AM?
8:19 AM
What is 167 minutes before 6:46 AM?
3:59 AM
What is 505 minutes after 10:47 PM?
7:12 AM
How many minutes are there between 10:44 PM and 5:54 AM?
430
What is 420 minutes before 7:27 PM?
12:27 PM
How many minutes are there between 10:53 PM and 5:49 AM?
416
What is 664 minutes before 9:22 PM?
10:18 AM
How many minutes are there between 8:50 AM and 5:42 PM?
532
How many minutes are there between 5:24 PM and 10:26 PM?
302
What is 445 minutes after 4:02 PM?
11:27 PM
How many minutes are there between 7:11 AM and 11:45 AM?
274
What is 462 minutes before 3:31 AM?
7:49 PM
How many minutes are there between 5:20 AM and 6:11 AM?
51
What is 641 minutes before 1:14 PM?
2:33 AM
How many minutes are there between 4:41 AM and 2:26 PM?
585
What is 586 minutes before 3:12 PM?
5:26 AM
What is 295 minutes before 5:46 AM?
12:51 AM
How many minutes are there between 7:38 PM and 7:23 AM?
705
How many minutes are there between 7:23 AM and 4:29 PM?
546
What is 406 minutes before 10:00 AM?
3:14 AM
How many minutes are there between 3:05 PM and 8:22 PM?
317
How many minutes are there between 4:27 PM and 12:55 AM?
508
What is 620 minutes after 10:31 AM?
8:51 PM
What is 689 minutes after 7:08 AM?
6:37 PM
How many minutes are there between 4:15 PM and 4:25 PM?
10
How many minutes are there between 6:13 AM and 11:30 AM?
317
How many minutes are there between 8:40 PM and 5:05 AM?
505
What is 665 minutes after 1:17 PM?
12:22 AM
What is 91 minutes after 4:57 PM?
6:28 PM
How many minutes are there between 10:46 PM and 6:29 AM?
463
How many minutes are there between 3:11 AM and 8:28 AM?
317
What is 458 minutes after 6:17 AM?
1:55 PM
What is 480 minutes before 2:30 PM?
6:30 AM
How many minutes are there between 8:39 AM and 2:06 PM?
327
What is 135 minutes after 6:52 PM?
9:07 PM
What is 39 minutes after 7:32 AM?
8:11 AM
What is 67 minutes after 1:44 PM?
2:51 PM
What is 618 minutes after 9:41 PM?
7:59 AM
What is 195 minutes before 9:22 AM?
6:07 AM
How many minutes are there between 1:09 PM and 9:36 PM?
507
What is 123 minutes before 7:12 PM?
5:09 PM
How many minutes are there between 2:17 AM and 4:57 AM?
160
How many minutes are there between 7:14 AM and 6:47 PM?
693
How many minutes are there between 5:39 AM and 9:36 AM?
237
What is 145 minutes before 10:42 PM?
8:17 PM
What is 310 minutes after 1:55 AM?
7:05 AM
How many minutes are there between 3:46 PM and 8:42 PM?
296
What is 453 minutes after 5:00 PM?
12:33 AM
How many minutes are there between 10:32 AM and 9:59 PM?
687
What is 543 minutes after 1:38 AM?
10:41 AM
What is 62 minutes after 8:41 PM?
9:43 PM
What is 697 minutes after 10:29 AM?
10:06 PM
What is 627 minutes after 5:41 AM?
4:08 PM
How many minutes are there between 4:57 PM and 3:09 AM?
612
What is 52 minutes after 4:55 PM?
5:47 PM
What is 270 minutes after 12:19 AM?
4:49 AM
What is 690 minutes before 8:10 PM?
8:40 AM
How many minutes are there between 5:14 PM and 4:41 AM?
687
What is 115 minutes before 7:19 PM?
5:24 PM
How many minutes are there between 5:40 PM and 2:58 AM?
558
How many minutes are there between 5:22 PM and 8:09 PM?
167
How many minutes are there between 10:48 AM and 10:38 PM?
710
How many minutes are there between 8:15 PM and 5:24 AM?
549
How many minutes are there between 2:56 PM and 1:43 AM?
647
How many minutes are there between 12:50 PM and 8:27 PM?
457
What is 136 minutes before 8:58 PM?
6:42 PM
What is 130 minutes before 5:19 AM?
3:09 AM
How many minutes are there between 9:53 PM and 8:36 AM?
643
How many minutes are there between 1:41 PM and 12:41 AM?
660
How many minutes are there between 3:41 PM and 11:06 PM?
445
What is 528 minutes before 11:42 AM?
2:54 AM
How many minutes are there between 7:24 AM and 12:03 PM?
279
What is 298 minutes after 12:48 PM?
5:46 PM
How many minutes are there between 3:47 PM and 11:40 PM?
473
What is 679 minutes after 12:49 AM?
12:08 PM
What is 9 minutes before 2:14 PM?
2:05 PM
What is 33 minutes before 6:07 PM?
5:34 PM
What is 111 minutes before 1:54 PM?
12:03 PM
What is 578 minutes after 6:42 AM?
4:20 PM
How many minutes are there between 5:46 AM and 3:57 PM?
611
What is 581 minutes after 8:57 PM?
6:38 AM
What is 313 minutes before 12:06 AM?
6:53 PM
How many minutes are there between 11:51 PM and 5:35 AM?
344
What is 97 minutes before 12:11 PM?
10:34 AM
How many minutes are there between 5:17 AM and 7:25 AM?
128
What is 264 minutes after 5:05 PM?
9:29 PM
What is 472 minutes before 4:44 AM?
8:52 PM
How many minutes are there between 5:12 AM and 10:34 AM?
322
What is 547 minutes after 8:59 PM?
6:06 AM
How many minutes are there between 7:07 PM and 6:37 AM?
690
What is 496 minutes after 2:17 PM?
10:33 PM
How many minutes are there between 11:54 PM and 10:22 AM?
628
How many minutes are there between 12:19 PM and 8:12 PM?
473
What is 685 minutes before 9:34 AM?
10:09 PM
How many minutes are there between 2:25 PM and 6:38 PM?
253
How many minutes are there between 10:57 AM and 10:14 PM?
677
What is 266 minutes after 1:41 AM?
6:07 AM
What is 587 minutes after 4:08 PM?
1:55 AM
What
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Let z(d) = 11*k(d) + 4*l(d). Calculate m(y) - 5*z(y).
-2*y**2 - y + 1
Let b(q) = 76*q**3 - 28*q**2 + 4*q + 5. Let l(o) = 153*o**3 - 49*o**2 + 7*o + 10. Give -7*b(j) + 4*l(j).
80*j**3 + 5
Let z(a) be the first derivative of -a**4/4 - a**2/2 - 6109. Let m(p) be the third derivative of -p**6/20 - 5*p**4/24 + 2*p**2. What is m(y) - 5*z(y)?
-y**3
Let b(d) = -3633947*d - 10003. Let j(r) = 1453*r + 4. Calculate 4*b(p) + 10003*j(p).
-1429*p
Let f(c) = 7*c**2 - 517*c + 3. Let m(l) = 12*l**2 - 1032*l + 5. Calculate -5*f(p) + 3*m(p).
p**2 - 511*p
Let q(r) = -9*r + 11. Let n(m) = 4*m - 5. Let g = 4273 - 4270. Give g*q(s) + 7*n(s).
s - 2
Let a(j) = -6*j**2 + 4*j - 4. Suppose 0 = 4*y + f + 707, 4*f - 910 = 4*y + y. Let l = 181 + y. Let p(t) = 6*t**2 - 3*t + 3. Determine l*a(z) + 4*p(z).
6*z**2
Let d(v) = 21*v**2 + 17*v - 13. Let p(k) = 14*k**2 - k + 1. Let w(a) = -66*a**2 - 4*a + 2. Let t(x) = 4*p(x) + w(x). What is -6*d(g) - 13*t(g)?
4*g**2 + 2*g
Let r(g) = -29*g**3 + 6*g + 3. Let v(z) = -22*z**3 + 5*z + 3. Let d(k) = 3*r(k) - 4*v(k). Let h(i) = i**3 + i + 1. Give -d(y) - 3*h(y).
-4*y**3 - y
Let b(x) = x. Suppose 19 = 2*r - 3. Suppose -41 + r = -15*p. Let n(m) = 4*m. Determine p*b(q) + n(q).
6*q
Let h(o) = 21*o - 241. Let q(p) = -7*p. Determine -h(k) - 4*q(k).
7*k + 241
Let g(h) = 3*h**3 - 2*h**2 + 4*h - 6. Let r(w) = 5*w**3 + w**2 + 4*w - 8. Calculate -4*g(v) + 3*r(v).
3*v**3 + 11*v**2 - 4*v
Let q(w) = -96*w + 1153. Let j be q(12). Let n(s) = 1. Let g(b) = -b + 4. Give j*g(m) - 6*n(m).
-m - 2
Let q be (-10)/3*1200/(-125). Suppose 0 = -q*h - 57 + 281. Let n(l) = -7*l + 2. Let w(u) = -7*u - 6*u + 6 - 2. Give h*n(z) - 4*w(z).
3*z - 2
Let d = -1919 - -1952. Let o(k) = 26*k. Let s(m) = -417*m. Give d*o(t) + 2*s(t).
24*t
Let w(v) = 62*v**2 - 87*v + 1. Let j(n) = 34*n**2 - 44*n + 1. Calculate -11*j(i) + 6*w(i).
-2*i**2 - 38*i - 5
Suppose -15*g - 3*g = 30*g - 672. Let p(m) = 18*m + 3. Let u(s) = -35*s - 7. Let b(j) = -7*p(j) - 3*u(j). Let v(y) = 4*y. Calculate g*v(q) + 3*b(q).
-7*q
Let k(b) = 34*b - 3. Let y(o) be the third derivative of o**4/24 + o**3/6 + 55*o**2. What is k(j) + 5*y(j)?
39*j + 2
Let u(q) = 7*q - 5. Let f(r) = -r + 1. Suppose 0*o = -5*o - 70. Let k(a) = 3*a. Let g(l) = o*f(l) + 2*k(l). Let p = -188 + 185. Determine p*g(n) + 8*u(n).
-4*n + 2
Let l(f) be the second derivative of 3*f**5/5 + f**4/4 + f**3/6 + 3*f**2/2 + 6*f + 3. Let r(m) = -36*m**3 - 10*m**2 - 4*m - 10. Give 10*l(g) + 3*r(g).
12*g**3 - 2*g
Let z(v) = -37*v + 69. Let b(u) = 31*u - 70. Determine -5*b(a) - 4*z(a).
-7*a + 74
Let m(q) = q**3 - 5*q**2 - 11*q - 9. Suppose 0 = -1451*w + 1473*w + 110. Let d(b) = -b**3 + 2*b**2 + 5*b + 4. Determine w*d(t) - 2*m(t).
3*t**3 - 3*t - 2
Let j(b) = 84*b - 2. Let h(n) = -27*n + 2. Let u(v) = 3*h(v) + j(v). Let f(r) = r - 1. What is -4*f(q) + u(q)?
-q + 8
Suppose 3*l + 3 = 3*g, -6*l = -5*l - 2*g. Let n(j) = -9*j**2 + 2 + j**2 + 13*j**2 - 4*j + 6*j. Let f(y) = 21*y**2 + 9*y + 8. Determine l*f(h) + 9*n(h).
3*h**2 + 2
Let p(c) = 16*c**2 + 5*c + 5. Let s(i) be the second derivative of -11*i**4/4 - 3*i**3/2 - 9*i**2/2 - 2985*i. Give 5*p(x) + 3*s(x).
-19*x**2 - 2*x - 2
Let c(l) = 4*l**2 - 324*l. Let r(a) = 6*a**2 - 487*a + 1. Give 7*c(h) - 5*r(h).
-2*h**2 + 167*h - 5
Let u(r) = 21*r**2 + 4*r - 3. Let a(s) = 95*s**2 + 18*s - 13. Let k(b) = -2*a(b) + 9*u(b). Let i(j) = 3*j - 6. What is -i(g) + 2*k(g)?
-2*g**2 - 3*g + 4
Let i(o) = -2*o + 3. Suppose -3*z = 5*k - 2, -2*k = 1 - 3. Let v(q) be the second derivative of -13*q - 1/6*q**3 + 0*q**2 + 0. Calculate z*i(f) + 3*v(f).
-f - 3
Suppose -5*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
-5, -2, 1203
Sort 9, -63, 42, -4, -2, -1, 5.
-63, -4, -2, -1, 5, 9, 42
Put 8, -5, -2640926 in ascending order.
-2640926, -5, 8
Sort -1085776, -4, 0 in descending order.
0, -4, -1085776
Sort -90, -5, 2464, 5, -2 in ascending order.
-90, -5, -2, 5, 2464
Put -532, -0.1, 66, 102 in descending order.
102, 66, -0.1, -532
Put -26, -5, 4, 43, 2, -11 in decreasing order.
43, 4, 2, -5, -11, -26
Sort -3, 34, 332, -7 in increasing order.
-7, -3, 34, 332
Sort -3, 653024, 0.
-3, 0, 653024
Put -265859, -52, 3 in increasing order.
-265859, -52, 3
Sort -11587, -4, 66, 3 in decreasing order.
66, 3, -4, -11587
Sort -0.82788, -0.19, 1, 4/5.
-0.82788, -0.19, 4/5, 1
Sort 3069, -2, 1/6, -15 in increasing order.
-15, -2, 1/6, 3069
Sort 5, -55, -3/5, 1608.
-55, -3/5, 5, 1608
Sort -1, 4, 857, 0, 1244, 5 in decreasing order.
1244, 857, 5, 4, 0, -1
Put 3/4, -4, -0.7, 4, 1/7, 0.095 in increasing order.
-4, -0.7, 0.095, 1/7, 3/4, 4
Sort 4, -154, -14850, 0 in descending order.
4, 0, -154, -14850
Put 14, 0, 32, -1, 5, 9 in decreasing order.
32, 14, 9, 5, 0, -1
Put 14, -12, 3, 5873 in increasing order.
-12, 3, 14, 5873
Sort -0.051, -207, -1/27, -14 in descending order.
-1/27, -0.051, -14, -207
Put 9, 3, -928 in descending order.
9, 3, -928
Sort -4, -157, 774, -1 in increasing order.
-157, -4, -1, 774
Put 1/2, 5, -0.06, 170, 4 in increasing order.
-0.06, 1/2, 4, 5, 170
Put 70662, 5, -1, 449 in ascending order.
-1, 5, 449, 70662
Put -1, -6, 8116, 45 in descending order.
8116, 45, -1, -6
Sort -2, 1, 87505658 in ascending order.
-2, 1, 87505658
Put -1514467, 4, -6 in descending order.
4, -6, -1514467
Sort -3, 4895, 4, 138.
-3, 4, 138, 4895
Put -2/9109, -0.11, -0.022, 0, 0.6 in decreasing order.
0.6, 0, -2/9109, -0.022, -0.11
Put 93, 15302, -4 in increasing order.
-4, 93, 15302
Put 88, 23, -0.4, -13/4 in increasing order.
-13/4, -0.4, 23, 88
Put 389, 2, -2, -6, 2.7, 3/4, -1 in descending order.
389, 2.7, 2, 3/4, -1, -2, -6
Sort 0.5, 3, 489.59, -210 in ascending order.
-210, 0.5, 3, 489.59
Put -4, -182, 39, -1, -71 in increasing order.
-182, -71, -4, -1, 39
Sort -2, 6, -24206, -222, 1 in ascending order.
-24206, -222, -2, 1, 6
Put -3, 0, -4, 429, 2830 in increasing order.
-4, -3, 0, 429, 2830
Sort 216636, 0.2, -7 in descending order.
216636, 0.2, -7
Put -24, 0.4, 1/4, 2/7, -1, -130/3 in descending order.
0.4, 2/7, 1/4, -1, -24, -130/3
Put 0, -2/5, 201.6, -5/9 in ascending order.
-5/9, -2/5, 0, 201.6
Sort -0.1, -9200346, 0.
-9200346, -0.1, 0
Put -4, 18, 129, -2/11, 0.09, -5 in decreasing order.
129, 18, 0.09, -2/11, -4, -5
Put 11, 69, 44 in decreasing order.
69, 44, 11
Put 230.1, -324, -2/385 in decreasing order.
230.1, -2/385, -324
Sort -5, -0.2, 29938, -7, 3/5, -0.1 in descending order.
29938, 3/5, -0.1, -0.2, -5, -7
Sort -8, -2/9, -0.229, 21/2.
-8, -0.229, -2/9, 21/2
Sort 2, 29, -11, 5687.
-11, 2, 29, 5687
Put 478621, 0.1, -1, -4 in descending order.
478621, 0.1, -1, -4
Put -1/5, 21/3694, 64, -7 in ascending order.
-7, -1/5, 21/3694, 64
Sort 137, -3, 60555.
-3, 137, 60555
Put 15, 0.4, 0.006946, -24 in decreasing order.
15, 0.4, 0.006946, -24
Sort -12/89, -3, -1, 14/11, -7 in increasing order.
-7, -3, -1, -12/89, 14/11
Sort -2, -3, 0, 4, 668, -30 in ascending order.
-30, -3, -2, 0, 4, 668
Put -1/2, -2/252257, 14 in descending order.
14, -2/252257, -1/2
Put -2, 1/3, 1/2, 40798, -0.6 in decreasing order.
40798, 1/2, 1/3, -0.6, -2
Sort 1312/213, -4, 0.3, -0.4.
-4, -0.4, 0.3, 1312/213
Sort 351/20, 6, -2, -696.
-696, -2, 6, 351/20
Put 10, 1.82, -14, 158, -2 in decreasing order.
158, 10, 1.82, -2, -14
Sort 2, 687, -14, -4, 9, 4, -9 in decreasing order.
687, 9, 4, 2, -4, -9, -14
Sort -1, -58, 44, 2, -4, 3, 277.
-58, -4, -1, 2, 3, 44, 277
Sort 5, -29019, 121, -4, 0.
-29019, -4, 0, 5, 121
Sort 1276, 13, -8227 in decreasing order.
1276, 13, -8227
Sort -16, 3, -696642, 1 in descending order.
3, 1, -16, -696642
Sort -5, 547, -2, 73, -1, 1 in decreasing order.
547, 73, 1, -1, -2, -5
Sort 5, -36, -4, 3, 4, 11, 73 in increasing order.
-36, -4, 3, 4, 5, 11, 73
Put 6609046, 0, 5 in ascending order.
0, 5, 6609046
Put -191/3, 2, 1, 77, 0.4, -2/17
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 1)**3*(9*j - 2)
Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0.
-1, -2/5, 2
Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4.
-5*z**3*(3*z + 1)/2
Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x.
1
Let g(a) be the third derivative of -a**7/8820 + a**6/840 - a**5/210 - a**4/8 + 4*a**2. Let m(s) be the second derivative of g(s). Factor m(o).
-2*(o - 2)*(o - 1)/7
Factor 0*m**4 + 3/5*m**3 + 0*m - 1/5*m**5 - 2/5*m**2 + 0.
-m**2*(m - 1)**2*(m + 2)/5
Let w be 2/7 + (-408)/(-42). Suppose -i = -5*v + 2, -v + 5*i = -6*v - w. Suppose 4/9*j + 2/9*j**2 + v = 0. What is j?
-2, 0
Let q(y) be the second derivative of 0*y**3 + 2*y + 1/70*y**5 + 2/105*y**6 + 0*y**2 - 1/42*y**4 + 0. Factor q(n).
2*n**2*(n + 1)*(2*n - 1)/7
Let v(t) be the second derivative of -t**7/280 + t**6/120 - t**3/2 + 5*t. Let o(p) be the second derivative of v(p). Determine i, given that o(i) = 0.
0, 1
Let i(h) be the first derivative of -1 - 1/15*h**5 + 0*h + 0*h**2 + 0*h**4 + 0*h**3. Let i(n) = 0. What is n?
0
Let o(n) be the first derivative of 9*n**5/10 + 3*n**4/2 - 5*n**3/6 - 3*n**2 - 2*n - 9. Factor o(i).
(i - 1)*(i + 1)*(3*i + 2)**2/2
Let y = 388/3 - 128. Suppose -2/3 + 4/3*a**3 + y*a**2 - 2/3*a**5 - 2/3*a - 2/3*a**4 = 0. What is a?
-1, 1
Suppose w + 2*w = 2*x - 12, 11 = 5*x + 2*w. Find k such that 1/2*k**x + 0*k + 0 + 1/2*k**2 = 0.
-1, 0
Let l(x) be the third derivative of x**6/10 - 7*x**5/20 - x**4/4 - 7*x**2. Factor l(g).
3*g*(g - 2)*(4*g + 1)
What is z in 0*z - z**3 + 5/8*z**4 + 0 - 1/2*z**2 = 0?
-2/5, 0, 2
Let j be 4/(144/(-69)) + 2. Let q(u) be the third derivative of j*u**4 + 0 + 0*u**3 - 1/12*u**5 - 2*u**2 - 7/120*u**6 + 0*u. Suppose q(k) = 0. What is k?
-1, 0, 2/7
Suppose -2*t = -5 + 1. Let x(a) = -a + 10. Let r be x(7). Solve s + r*s**2 - 4*s**2 - t*s = 0.
-1, 0
Let w(d) be the third derivative of -d**6/360 + d**5/180 + d**4/72 - d**3/18 + 9*d**2. Factor w(t).
-(t - 1)**2*(t + 1)/3
Suppose 0 = -5*y - 2*w - 6, 2*w = 4*y + 2 - 8. Let s(i) be the first derivative of -2 + 1/15*i**3 + 0*i + 0*i**2 + y*i**4 - 1/25*i**5. Factor s(m).
-m**2*(m - 1)*(m + 1)/5
What is t in 2*t - 4*t**5 + 2*t**5 + 13*t**4 + 4*t**2 - 17*t**4 = 0?
-1, 0, 1
Suppose 0 = 4*z + 3*a - 21, 4*z + 5 = 5*a + 2. Factor -42*i + 30*i**2 + 14*i + 8 + 0*i**3 - 9*i**z.
-(i - 2)*(3*i - 2)**2
Let r(m) be the first derivative of -3/2*m**2 - 1/4*m**4 - m**3 - m - 2. Solve r(c) = 0.
-1
Let s be 0*((-4)/2)/(-6). Let y(n) be the first derivative of -n**2 - 3 + s*n - 3/4*n**4 - 5/3*n**3. Factor y(u).
-u*(u + 1)*(3*u + 2)
Let u be (23 + -23)*2/4*2. Factor -1/2*q**2 + u - 1/2*q**4 - q**3 + 0*q.
-q**2*(q + 1)**2/2
Let 12*i**2 + 4*i**2 + 2*i**3 - 4*i**2 + 8*i + 2*i**3 = 0. Calculate i.
-2, -1, 0
Let n be 46/(-69)*1/(-2). Find j such that 1/3*j**2 + 1/3*j - 1/3*j**3 - n = 0.
-1, 1
Suppose b + 2*t = 4, -3*b + t - 2 = -b. Suppose 0*g - 3*g - 12 = 0, -5*r - 4*g - 6 = b. Factor 2 - 4*c**r - 3*c**2 - 5*c + 0*c.
-(c + 1)*(7*c - 2)
Factor -2/11 + 2/11*s**2 + 2/11*s - 2/11*s**3.
-2*(s - 1)**2*(s + 1)/11
Let c(i) = 11*i**2 + 8*i + 17. Let k(w) = w**2 + w + 1. Let s(v) = -c(v) + 6*k(v). Let l(p) = 2*p**2 + p + 5. Let z(j) = 7*l(j) + 3*s(j). Factor z(f).
-(f - 2)*(f + 1)
Suppose 5*k + 1 = 3*u, 3*k + 0 = 2*u - 2. Suppose 2*a**3 - u*a + 9*a - a**4 + 1 - 4*a = 0. Calculate a.
-1, 1
Let u be ((-16)/(-6))/(16/24). Determine i, given that 0 - 9*i**2 + 0 - 4*i**u + 13*i**2 = 0.
-1, 0, 1
Let w(t) be the second derivative of 3*t**4/22 - 2*t**3/33 - 22*t. Determine p so that w(p) = 0.
0, 2/9
Let k be (-23)/(-10)*(-5)/2. Let c = 6 + k. Suppose 1/2*p**2 - 1/4*p - c*p**3 + 0 = 0. Calculate p.
0, 1
Suppose -2*q + 9 = 2*q + 3*l, 5*l = -q - 2. Factor -r**3 - 2 + 4*r**3 + q*r**2 + r + 2 + r**4.
r*(r + 1)**3
Let c(n) be the first derivative of -5*n**2 + 3 - 3/8*n**
|
{
"pile_set_name": "DM Mathematics"
}
|
413459?
2413673
What is the next term in 771, 3221, 7321, 13083, 20519?
29641
What comes next: -500504, -1001646, -1502788, -2003930, -2505072?
-3006214
What is the next term in -149106722, -298213453, -447320184, -596426915, -745533646?
-894640377
What is next in 502497, 502452, 502333, 502104, 501729, 501172, 500397, 499368?
498049
What is next in 299651, 299671, 299691, 299711?
299731
What comes next: -13985, -13616, -13001, -12140, -11033?
-9680
What is next in -6463831, -12927656, -19391481, -25855306, -32319131, -38782956?
-45246781
What is next in -14761136, -14761134, -14761132, -14761130?
-14761128
What is the next term in -92212, -186443, -282692, -380959?
-481244
What is next in -11660, -11558, -11374, -11108, -10760?
-10330
What is the next term in -15733, -15801, -15913, -16069, -16269?
-16513
What comes next: 18017, 36135, 54359, 72689, 91125?
109667
What comes next: -3167, -2705, -2243, -1781, -1319, -857?
-395
What is next in -78126, -624991, -2109342, -4999923, -9765478, -16874751, -26796486?
-39999427
What is next in 144677, 288977, 432901, 576449, 719621, 862417?
1004837
What is next in -31061, -61844, -92629, -123416, -154205, -184996, -215789?
-246584
What comes next: 1425, 11447, 38691, 91779, 179333?
309975
What is the next term in -478, -2088, -4872, -8914, -14298, -21108, -29428?
-39342
What is the next term in -695, -2330, -5041, -8828, -13691, -19630?
-26645
What is the next term in 13270452, 26540897, 39811342, 53081787?
66352232
What is next in -10503, -10559, -10615, -10671, -10727?
-10783
What is the next term in -5244, -10386, -15522, -20652, -25776, -30894?
-36006
What is the next term in 112002, 113255, 114508, 115761, 117014, 118267?
119520
What is the next term in -135097, -134913, -134731, -134551?
-134373
What is next in 1383658, 2767297, 4150932, 5534563, 6918190, 8301813?
9685432
What is next in 12621, 13039, 13457, 13875?
14293
What is the next term in -100831, -201651, -302471, -403291?
-504111
What is next in 4082, 4097, 4080, 4019, 3902, 3717, 3452, 3095?
2634
What is next in 1916335, 7665342, 17247025, 30661384, 47908419, 68988130, 93900517?
122645580
What is the next term in -10567, -10529, -10491?
-10453
What is next in -14665676, -14665677, -14665678?
-14665679
What is the next term in 40380, 40318, 40248, 40170?
40084
What comes next: -7112, -8635, -10158, -11681?
-13204
What is the next term in 848, 2702, 5774, 10070, 15596, 22358, 30362?
39614
What comes next: 160435, 320887, 481351, 641827, 802315, 962815?
1123327
What is the next term in -3221, -6100, -8971, -11834, -14689?
-17536
What comes next: 35563275, 35563280, 35563285, 35563290, 35563295, 35563300?
35563305
What is the next term in 4599, 6205, 8881, 12627?
17443
What is the next term in -261893, -1047843, -2357837, -4191875, -6549957, -9432083?
-12838253
What is the next term in -1240996, -1240957, -1240918, -1240879, -1240840, -1240801?
-1240762
What comes next: 8432738, 16865476, 25298214, 33730952, 42163690?
50596428
What is next in -10206168, -40824665, -91855496, -163298661, -255154160?
-367421993
What is the next term in 27176, 26842, 25942, 24194, 21316?
17026
What comes next: -294, -1788, -5504, -12444, -23610, -40004, -62628?
-92484
What comes next: 1795540, 3591238, 5386936, 7182634, 8978332, 10774030?
12569728
What is next in -11055, -22944, -34833?
-46722
What comes next: 57221847, 114443694, 171665543, 228887394, 286109247, 343331102, 400552959?
457774818
What is the next term in -5118, -3635, -2156, -681, 790, 2257, 3720?
5179
What is the next term in -4792, -5149, -5736, -6547, -7576, -8817, -10264?
-11911
What comes next: -14970, -29641, -44312, -58983?
-73654
What is the next term in 251, 973, 2145, 3731, 5695, 8001, 10613, 13495?
16611
What is next in -6223, -9477, -12731?
-15985
What is the next term in 377166, 377283, 377400, 377517, 377634?
377751
What is the next term in -270418, -270465, -270512?
-270559
What is the next term in 737879, 738060, 738361, 738782?
739323
What is next in -57, -672, -1577, -2772, -4257, -6032?
-8097
What is the next term in -18892740, -18892773, -18892806, -18892839, -18892872, -18892905?
-18892938
What comes next: 9695, 9612, 9531, 9452, 9375, 9300, 9227?
9156
What is the next term in 30, 445, 1352, 2925, 5338?
8765
What is the next term in -1490, -1593, -1682, -1757, -1818?
-1865
What comes next: 257, 658, 1313, 2222, 3385, 4802?
6473
What is the next term in -5569680, -11139350, -16709004, -22278642, -27848264, -33417870?
-38987460
What is next in 750169, 1500024, 2249883, 2999746, 3749613, 4499484?
5249359
What comes next: 18851333, 37702662, 56553991?
75405320
What is the next term in -3730, -741, 2248?
5237
What is the next term in 59
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Let z(n) = n**3 + 7*n**2 - 6*n - 44. Let g be z(-5). Calculate the remainder when 1/6 + (-6)/(g/(-461)) is divided by 13.
12
Let j = 4252 + -4234. Let w = -16 - -57. Calculate the remainder when w is divided by j.
5
Suppose 9*h - 4*h = -165. Let u = h - -42. Suppose i - 15 = -0*i. What is the remainder when i is divided by u?
6
Let a = 2683 + -2191. Suppose 5*s - 322 = -4*v, 4*s - v = 79 + 166. What is the remainder when a is divided by s?
58
Suppose 5*u + 3579 = 2*x, -3*u + 1806 = -8*x + 9*x. What is the remainder when x is divided by 29?
28
Suppose -4*u + 2 = -f - 14, -f + 2*u - 6 = 0. Let g = f - -42. What is the remainder when g is divided by 32?
14
Let k(b) = -b**2 - 10*b - 2. Let l be (3/9 - 15/(-36))*-4. What is the remainder when 65 is divided by k(l)?
8
Let x = -1173 - -1640. What is the remainder when x is divided by 446?
21
Suppose -22*m + 27*m + 4*k - 12589 = 0, 3*m + 3*k - 7554 = 0. What is the remainder when m is divided by 84?
81
Let c(o) = 2*o + 4*o - 6 - 4. Suppose 5*z - 3*z = 6. Calculate the remainder when c(z) is divided by 5.
3
Let m = 381 + -346. Suppose -18*a + 23*a = m. Suppose -15 = -3*l, 7*l - 4*l + 50 = 5*x. Calculate the remainder when x is divided by a.
6
Suppose -2*i - i = -4*l - 676, -l - 4 = 0. Let o be ((-3)/(-5) + (-910)/(-25))/1. Let t = 74 - o. What is the remainder when i is divided by t?
35
Let r(h) = 7*h**2 + 2*h - 3. Let f be r(-3). Let d be 88*(3/14 + (-6)/(-21)). Let w = f - d. What is the remainder when 57 is divided by w?
7
Suppose -11*d + 67970 + 41357 - 19809 = 0. Calculate the remainder when d is divided by 185.
183
What is the remainder when 0 + (-3 - -1) + 4 + (-2 - -236) is divided by 120?
116
Let s be (1 - 13/4)*(-29 - -25). Suppose 3*j = 3*k - 39, -2*j - 3*k = 7 + s. Let y(w) = 2*w + 39. What is the remainder when 30 is divided by y(j)?
13
Let w be (-41 + 38)*(-13)/(-3)*-14. Let n(u) = 2*u + 6. Let p be n(3). What is the remainder when 18 is divided by (p/(-14))/((-26)/w)?
0
Let u(d) = d**3 + 6*d**2 + 4*d. Let l be u(-5). Suppose 3*x = 3*s - 21, -l*x = -0*x - 5. What is the remainder when s is divided by 4?
0
Suppose z + 4 = 19. Let i be 5/(-5) + 0/(-7). Calculate the remainder when ((-27)/5)/(i - 12/(-15)) is divided by z.
12
Let d be 18/4 + -5 - (-93)/6. Calculate the remainder when 8*d - (-2 + 8 - 3) is divided by (-2)/(-2)*19 + -4.
12
Let z(p) = -p**3 + 7*p**2 + p - 2. What is the remainder when 1796 is divided by z(6)?
36
Suppose -3*l + 4 = -5. Suppose -l*v + 223 = -4*m, -2*m + 88 = v - 3. What is the remainder when v is divided by 41?
40
Suppose 2*a = 5*k - 236, 0*k - 96 = a + 3*k. Let f = -71 - a. What is the remainder when 72 is divided by (-3)/(-6)*f + (-15)/(-10)?
12
Suppose 0 = 5*d - 25, 3*i + 4*d + 337 = -2703. Suppose 4*f - 140 = -0*f - 4*o, f - 43 = 3*o. Calculate the remainder when ((-4)/5)/(12/i) - -3 is divided by f.
34
Let q = 217 - 314. Let x = -68 - q. Let z = 88 + -33. What is the remainder when z is divided by x?
26
Suppose -o = 5*t - 2504, -6*o + 3*t + 2512 = -5*o. Suppose 0 = -21*y + 8*y + o. What is the remainder when y is divided by 39?
37
Let l = -15967 + 24191. Calculate the remainder when l is divided by 46.
36
Let t(a) = -2. Let l(s) = -s + 21. Let c(b) = 2*l(b) + 22*t(b). Let o be c(-6). Calculate the remainder when 2/(-12)*(o - 8)*-57 is divided by 6.
1
Suppose 4*n - 27 = -2*w + 7, 0 = 5*n - 2*w - 65. Let v = 45 + n. What is the remainder when 166 is divided by v?
54
Let z be -488*3/9*(-12)/8. Let h = z + -215. What is the remainder when 81 is divided by h?
23
Suppose 20520 = 5*w - 5*l, 9*w + 262*l - 258*l = 36832. What is the remainder when w is divided by 372?
4
Let t = 942 + -562. Suppose 12*x - 28 = t. Calculate the remainder when 98 is divided by x.
30
Suppose -2*w - 168 = 3*c, -4*c + w - 129 - 106 = 0. What is the remainder when 75 is divided by (-2 + 1 - c) + -34 + 30?
22
Suppose -2*b - 54*i = -57*i - 234, b = -4*i + 95. Calculate the remainder when b is divided by 35.
6
Suppose -3*r + 107 + 64 = 0. What is the remainder when 54/(6 + 3) + r is divided by 11?
8
Suppose -223*s = 60*s - 203194. Calculate the remainder when s is divided by 13.
3
Let y(d) = -d**3 - 108*d**2 + 110*d + 148. Calculate the remainder when y(-109) is divided by 38.
1
Let v(h) = 25*h - 5. Suppose 0 = -3*x - 14281 + 14500. What is the remainder when v(6) is divided by x?
72
Let s(f) = f**2 - 3*f - 4. Suppose 3*u = -u + 16, u = -2*o + 142. Calculate the remainder when o is divided by s(7).
21
Suppose -k + 0*k + 40 = -4*y, 2 = -2*y. Let a(b) = -b**2 + 5*b - 6. Let t be a(7). Let x = k + t. What is the remainder when 61 is divided by x?
13
Suppose -s + 0*q = -4*q, -s - 16 = 4*q. Let d(f) = -5*f - 37. Let r be d(s). What is the remainder when (-1)/(6*164/330 - r) is divided by 28?
27
What is the remainder when 170/(-1)*(35/(-2) + -1 + 13) is divided by 157?
150
Suppose 15*q = 14*q + 5*p + 4983, 5*p - 24825 = -5*q. Calculate the remainder when q is divided by 11.
7
Suppose -2*m + 3*s = -35, 2*m + 5*s = -48 + 123. Let a(f) = 5*f**2 + 21*f - 7. Calculate the remainder when m is divided by a(-5).
12
Let c = -22 + 44. Suppose -586 = 8*g + 278. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
Does 86 divide 359198092?
True
Is 26 a factor of 101429275?
False
Does 237 divide 274949625?
True
Is 16 a factor of 679408017?
False
Is 10758686 a multiple of 11?
False
Is 356289572 a multiple of 1983?
False
Is 2296630089 a multiple of 781?
False
Does 389 divide 804675506?
False
Is 3456 a factor of 868699926?
False
Does 644 divide 142640097?
False
Is 572989354 a multiple of 924?
False
Does 761 divide 370395425?
False
Does 66 divide 406212642?
True
Is 65 a factor of 90343218?
False
Is 165 a factor of 12890460?
True
Is 1326 a factor of 13901194?
False
Is 37 a factor of 99634594?
False
Does 24 divide 2101871186?
False
Is 54992522 a multiple of 13?
True
Is 1355609034 a multiple of 351?
True
Does 29 divide 41531190?
True
Is 9 a factor of 20743147?
False
Is 33 a factor of 84657672?
True
Is 356 a factor of 384655379?
False
Is 4 a factor of 9850083?
False
Is 42 a factor of 5572972?
False
Does 145 divide 41607673?
False
Is 9602144 a multiple of 38?
True
Does 134 divide 1459796?
True
Is 127 a factor of 575364864?
True
Is 25095288 a multiple of 543?
True
Does 3446 divide 21134318?
True
Is 1522671920 a multiple of 1540?
True
Does 16 divide 28642225?
False
Is 308859738 a multiple of 22?
True
Is 29417686 a multiple of 9?
False
Is 239287050 a multiple of 265?
True
Does 35 divide 20491944?
False
Does 57 divide 40087310?
False
Is 36714804 a multiple of 14?
True
Is 47762502 a multiple of 194?
False
Does 6 divide 12455712?
True
Is 2735 a factor of 217269063?
False
Is 87 a factor of 7496877?
True
Does 12 divide 117893046?
False
Does 29 divide 298925185?
True
Is 137 a factor of 1552970411?
False
Is 104644000 a multiple of 13?
False
Does 232 divide 11308608?
True
Is 216 a factor of 27666360?
True
Is 25 a factor of 8087423?
False
Does 58 divide 82931938?
True
Does 23 divide 10977277?
False
Is 97 a factor of 127322307?
False
Does 223 divide 9340355?
True
Is 3999419014 a multiple of 2841?
False
Is 7 a factor of 25146959?
False
Does 599 divide 226112317?
True
Does 70 divide 5733903?
False
Is 8578910 a multiple of 26?
False
Is 524215190 a multiple of 146?
True
Is 1005537780 a multiple of 156?
True
Does 10 divide 41053160?
True
Does 292 divide 1276123568?
False
Is 2 a factor of 22109909?
False
Is 366 a factor of 81780138?
True
Is 64 a factor of 5816704?
True
Is 74 a factor of 1778500?
False
Does 40 divide 223359280?
True
Is 137524548 a multiple of 14?
True
Is 8 a factor of 98493930?
False
Is 16 a factor of 401241008?
True
Is 3078 a factor of 106643466?
True
Does 13 divide 1450189?
True
Is 2539065 a multiple of 270?
False
Is 7199 a factor of 2351806708?
False
Is 729533070 a multiple of 333?
True
Is 975426782 a multiple of 432?
False
Does 48 divide 308008416?
True
Does 3629 divide 579743637?
True
Is 1641750 a multiple of 330?
True
Is 13 a factor of 528878585?
False
Is 2442606196 a multiple of 224?
False
Does 279 divide 5347571517?
True
Is 518 a factor of 287585356?
False
Is 86 a factor of 389797057?
False
Is 1726305128 a multiple of 70?
False
Is 1326 a factor of 96081960?
True
Is 42080656 a multiple of 825?
False
Is 22 a factor of 48168113?
False
Does 794 divide 26049519?
False
Is 9 a factor of 17114783?
False
Is 5 a factor of 16865126?
False
Does 938 divide 21400470?
True
Is 191902470 a multiple of 3150?
False
Is 58 a factor of 608714930?
True
Is 12 a factor of 40159531?
False
Is 5 a factor of 112842742?
False
Is 176 a factor of 5058495?
False
Is 1660 a factor of 97050445?
False
Does 2112 divide 61862592?
True
Does 37 divide 12080167?
True
Does 4268 divide 126524860?
True
Is 1937 a factor of 475376684?
False
Is 1912177372 a multiple of 4897?
False
Is 178308141 a multiple of 251?
True
Is 8134927 a multiple of 35?
False
Is 21703256 a multiple of 389?
False
Is 240971276 a multiple of 14?
True
Is 635484585 a multiple of 454?
False
Does 58 divide 5948016?
True
Does 59 divide 70791563?
True
Is 3 a factor of 40154334?
True
Does 14 divide 29215480?
True
Does 1706 divide 801676696?
True
Is 2822226863 a multiple of 22?
False
Is 2765 a factor of 38859310?
True
Is 67993400 a multiple of 232?
True
Is 4657717080 a multiple of 20?
True
Is 142 a factor of 24310116?
True
Does 595 divide 163532916?
False
Is 39979603 a multiple of 103?
False
Is 296684400 a multiple of 600?
True
Is 111 a factor of 230091537?
False
Does 11 divide 1233515261?
True
Is 540 a factor of 53842014?
False
Does 156 divide 20938476?
True
Does 14 divide 18013968?
True
Does 1998 divide 28997477?
False
Is 812 a factor of 4451384?
True
Is 330027808 a multiple of 88?
True
Is 157515875 a multiple of 25?
True
Is 252778964 a multiple of 2204?
True
Does 22 divide 4663639?
False
Does 15 divide 606731698?
False
Is 5 a factor of 39765030?
True
Is 359 a factor of 114477202?
True
Does 243 divide 1646900880?
False
Is 3295977 a multiple of 36?
False
Is 13 a factor of 22416072?
False
Is 560 a factor of 1809920?
True
Does 37 divide 35369786?
False
Is 52120485 a multiple of 95?
False
Is 41273311 a multiple of 2104?
False
Does 36 divide 626779908?
True
Is 8725 a factor of 219721675?
True
Does 51 divide 294815034?
False
Does 9 divide 2500524?
True
Is 8759059 a multiple of 78?
False
Does 239 divide 5873664?
True
Is 2847396470 a multiple of 17?
True
Is 3663543 a multiple of 26?
False
Is 20202147 a multiple of 7?
True
Is 90 a factor of 540296756?
False
Is 11 a factor of 10450903?
False
Does 34 divide 36993332?
False
Does 3 divide 1920437138?
False
Is 1062 a factor of 18251953?
False
Does 3090 divide 1595573796?
False
Is 126987093 a multiple of 601?
True
Is 76 a factor of 94694252?
True
Does 1765 divide 5213810?
True
Is 134 a factor of 28337063?
False
Is 12 a factor of 69637969?
False
Is 3209444 a multiple of 2324?
True
Is 1146675228 a multiple of 17?
True
Is 69 a factor of 83529468?
True
Is 16 a factor of 111404247?
False
Does 357 divide 620466?
True
Is 9 a
|
{
"pile_set_name": "DM Mathematics"
}
|
s.
3
Suppose 3*o + w = 5, -1 = -2*o + 5*w - 26. Suppose o = -2*v - 0 + 4. Suppose -5*t = -2*t - 4*q - 14, -2*t + 3*q + 9 = 0. Solve v*a - t = -0*a for a.
3
Suppose i = f, 3*i + 2*f - 15 = -0*i. Let b(o) = -o**2 + 6*o - 4. Let g be b(4). Solve i*v + g = 1 for v.
-1
Let s = -36 + 52. Suppose -s = -h - h. Solve -4 = -3*u + h for u.
4
Suppose 4*b + 76 = 3*o - 0, b - 142 = -5*o. Suppose -8*w = -4*w + o. Let c = 12 + w. Solve 12 = c*l - 8 for l.
4
Suppose 6*g = 2*g - 5*x - 7, -3*x - 1 = 4*g. Let u(b) = -b**2 - 2 + 5 - 4 + 5*b. Let t be u(g). Solve -t*k = -k + 4 for k.
-1
Suppose 3*r = -7 + 1. Let q be ((-27)/18)/(r/4). Solve 24 - 9 = q*y for y.
5
Let p be 3 + 0/2 - 2. Suppose f + p = 5. Suppose -4*i - 2*r + 4 = 0, -3*i + 2*r + 2 = 3*r. Solve i = -f*a + 5 + 3 for a.
2
Let r = -2 + 6. Solve b = -r + 1 for b.
-3
Let b = 5 - 5. Solve b*m - 3 = -m for m.
3
Let h be (6/4)/(15/(-20)). Let c = h - -4. Suppose -3*v - 1 = 5*d + c, 0 = -v - 2*d - 2. Solve -v + 1 = -j for j.
3
Suppose v - 23 = -2*r - 9, 0 = -2*r - 3*v + 18. Let t = r + -4. Let b(y) = y**3 - 5*y**2 + 5*y - 2. Let z be b(4). Solve -t*q = -0*q + z for q.
-1
Let d = 31 + -31. Solve d = -2*w + 5*w - 12 for w.
4
Suppose 5*t - 3*t = -14. Let u = 8 + t. Let p(m) = -m**2 - 5*m - 2. Let j be p(-3). Solve 9 = j*a + u for a.
2
Let v(r) = -r**2 + 2*r + 2*r**2 + 2 + 2 - 1. Let c be v(-2). Solve 16 = -f - c*f for f.
-4
Suppose 0 = 3*h - 3, -7*h + 3*h + 14 = 5*w. Solve 0 = a - w*a + 4 for a.
4
Let m(l) = -l**2 - 6*l - 4. Let y be m(-3). Suppose -z + y*z = 0. Solve z = -2*s - 2*s + 20 for s.
5
Let t(k) = -5*k**3 - k**2 - k. Let d be t(-1). Solve -d*s - 4 = -s for s.
-1
Let a be (0 + 1)*35/(-7). Let c(b) = -2*b - 7. Let o be c(a). Solve o*q = -6 - 0 for q.
-2
Let m(f) = -f**3 - 5*f**2 - 3*f + 2. Let v be m(-4). Let y = v - -4. Solve -y*w + 3 = w for w.
1
Let u be 4/(-10) + 3 + (-15)/25. Solve 0*s - u*s + 10 = 0 for s.
5
Let c(i) = -i + 2. Let v be c(-7). Suppose -11*h = -v*h - 10. Solve 0 = -h*m + 2*m - 3 for m.
-1
Let c(q) = q**3 + 11*q**2 - 12*q + 15. Suppose -4*b + 50 = -2*j + 18, b - 50 = 4*j. Let o be c(j). Solve o = 2*d + 3*d for d.
3
Let a = -1 - -1. Let t = 1 + a. Let w = t - -1. Solve w = -p - p for p.
-1
Suppose 2*j + j - 12 = 0. Solve j = -3*f + 4*f for f.
4
Let h = 15 - 4. Let o = 40 + -38. Solve o*s + 1 = h for s.
5
Let r be (-2 - -5)*2/6. Suppose -1 = 2*x + c, x - 2*c = 4*x + 3. Let q = x - r. Solve q*b = 2*b + 6 for b.
-3
Suppose -8*v - 5*f + 90 = -3*v, 0 = 2*v - 3*f - 26. Solve 0 = -4*j + 4 + v for j.
5
Let j(r) = -6*r**3 - 2*r**2 + 1. Let n be j(-1). Suppose -n*i + 13 = 2*k, 0 = 2*i - 5*k - 0*k + 18. Let t be 4 + i*(-3 + 2). Solve 2*h = t*h for h.
0
Let v be (-2)/(-8) - 105/20. Let z be v/10 + 3/6. Solve -4*u + 0*u = z for u.
0
Let n(b) = 2*b**2 + 3*b + 1. Let p be ((-1)/(-2))/((-1)/4). Let i be n(p). Solve -i*u + 2 + 1 = 0 for u.
1
Suppose -r - 116 = -5*r. Solve r - 4 = 5*y for y.
5
Suppose -3*v - v = 0. Suppose 2*b - 1 = g - v*b, -5 = -5*g + 5*b. Solve 2*y + 1 = g*y for y.
1
Suppose -9 - 1 = -5*o. Let m = 2 - o. Let a = m + 1. Solve c + a = 2*c for c.
1
Let q(f) be the first derivative of -f**4/4 + 2*f**3/3 + 5*f**2/2 - 4*f - 1. Let x be -1 + 7 - (5 + -2). Let b be q(x). Solve -15 = -b*k - k for k.
5
Let z = -33 - -36. Solve 0 = o - z*o for o.
0
Suppose -3*q + 1 + 2 = 0. Let s(j) = 4*j - 2. Let c be s(q). Solve y - c*y = 0 for y.
0
Let d(w) = -2*w + w**2 + 7*w + 5 + 0*w. Let g be d(-4). Let n = 138 - 138. Solve n = f + 1 + g for f.
-2
Suppose -4*l + 5*l - w = 0, l = -4*w + 10. Solve 6*p = l*p for p.
0
Let c be ((-5)/(-4))/((-1)/(-16)). Let h(w) = w + 5. Let d be h(-5). Solve c = -d*i + 4*i for i.
5
Let k = -19 + 20. Let y = k + 3. Solve 0 = 4*t + y for t.
-1
Suppose 6*d - 18 = -0*d. Solve d*v - 3 = -9 for v.
-2
Let i be (-6)/(-21) + (-24)/(-14). Let y be (1 + -2)*-6 - i. Solve y = 3*j - j for j.
2
Let k = -4 - -4. Suppose -5*n = -k*n. Solve 0 = -n*j - j - 2 for j.
-2
Let k(f) = -f - 3. Let u(o) = 3*o. Let j be u(-
|
{
"pile_set_name": "DM Mathematics"
}
|
4*h**2 - 2*h**2 + 2*h**2 - 2*h + 2*h + 3*h**2 + 0*h**2 - h**2 - 2*h**2 + 8*h**2 + 4*h**2.
16*h**2
Expand (3 + x - 3 + (-2 - 2 + 2)*(2 - 2 + 3*x))*(2*x + 2 - 2).
-10*x**2
Expand (0*d + 4*d - 2*d - d**2)*(-1 - 2*d + 1)*(2*d**2 - d**2 + 0*d**2).
2*d**5 - 4*d**4
Expand (-2*n + 5*n - n)*(2*n - n + 0*n) - 11*n**2 + 0 + 0.
-9*n**2
Expand (r + r - 4*r)*(4*r - r - 2*r)*(-r**3 - 1 + 1) + 14*r**2 - 14*r**2 - 8*r**5.
-6*r**5
Expand (-1 - 1 + 0)*(-3*h - h + 2*h)*(7 - 3 + 0)*(-3 + 3 - 1).
-16*h
Expand (7 + 4 - 6)*(-3 - 3 + 4)*(-4*g + 3*g + 2*g).
-10*g
Expand (-b**2 - 3*b + b + 4*b**2)*(-b + b + b).
3*b**3 - 2*b**2
Expand (-4*h**3 - 3*h**3 - 20*h**3)*(2 + 2*h - 2) + 5*h - 5*h + h**4.
-53*h**4
Expand 181*b**3 - 181*b**3 - 40*b**4 + (-3*b**2 + 4*b**2 - 3*b**2)*(0*b - b**2 + 0*b).
-38*b**4
Expand (2 + 2*m**2 - 2)*(-4 + 1 - 6).
-18*m**2
Expand -3*t - 2*t + 3*t + t - 1 + 1 + 1 + 10*t - 1 + t + 5*t - 5*t + (1 - 1 + 2)*(1 - 1 - t).
8*t
Expand 0 + 2*y**5 + 0 + (2 - 5 + 1)*(5*y**4 + y**5 - 5*y**4 + (0*y**3 + y**3 - 3*y**3)*(-4*y + 4*y + 2*y**2)).
8*y**5
Expand f**4 - 2*f + 2*f - 4*f**3 + 2*f**4 - f**4 + 2*f**4 + (-4*f + 2*f + 4*f)*(2*f**3 - 3*f**2 + 3*f**2).
8*f**4 - 4*f**3
Expand (-3*p + 2*p + 2*p)*(48 - 48 - 12*p**2).
-12*p**3
Expand (-3*k + 3*k - 2*k)*(5*k**2 - 3*k**2 - 3*k**2) + 2*k**3 + 3 - 3 + (0 + 2*k + 0)*(-k + 2*k**2 + k).
8*k**3
Expand (2*p**3 - 2*p**3 - 2*p**3)*(-3 + 3 - 2)*(4 - 3 + 1)*(-p + 4*p - 4*p).
-8*p**4
Expand (-2 - 2 - 1)*(-2 + 3 + 0)*(-4*c - c + 3*c).
10*c
Expand (2*j**4 + 0*j**3 + 0*j**3)*(-2 + 2 + 1) - 3*j**4 + 0*j**4 + 0*j**4 + (2*j**2 + 3*j**2 + 7*j**2 - 1)*(2*j**2 - 4*j**2 + 3*j**2).
11*j**4 - j**2
Expand (8*h**2 - 30*h**2 - 7*h**2)*(4*h - 5*h + 3*h)*(-7*h**2 + 4*h**2 + 4*h**2).
-58*h**5
Expand (0*k**3 - k**3 + 0*k**3)*(-10 + 0 - 1).
11*k**3
Expand (-20 + 2*a**2 - 20 + 45)*(0*a**2 - 3*a**2 + a**2).
-4*a**4 - 10*a**2
Expand (-3*g**2 - 4*g**3 + 3*g**2)*((4 + 1 - 4)*(-10*g - 12 + 12) + 2*g - g - 3*g).
48*g**4
Expand (4 - 4 + l)*(4*l**3 + 10*l**3 - 5*l**3).
9*l**4
Expand (-41*i - 2 + 2)*(3*i**4 - 4*i**4 + 2*i**4).
-41*i**5
Expand (0*h**2 + 2*h**2 + 0*h**2)*(2*h - 291*h**2 + 144*h**2 + 143*h**2)*(6*h - 4*h - 3*h).
8*h**5 - 4*h**4
Expand (3 - 3 + 2*u)*(-6 + 2 + 3)*(-3 + 2 + 6).
-10*u
Expand (-n - 6*n + 2*n)*((2*n**2 - n + n)*(n**2 - 5*n + 5*n) + 2*n**4 + 4*n**3 - 4*n**3).
-20*n**5
Expand ((-1 + 2 + 0)*(-3 + 1 + 3) + 1 + 0 - 4)*(2 - 2 - 9 + s).
-2*s + 18
Expand (w**3 - 3*w**3 + 4*w**3)*(-w + 3*w + 0*w) + 35*w**2 - 35*w**2 + 15*w**4.
19*w**4
Expand (4 - 3 + 1)*(-4*c + 4*c - 2*c) + c - 22*c + 3*c.
-22*c
Expand (n - n + 5*n)*(-3 + 3 + 2*n)*(4 - 8*n**3 + 12*n**3 - 5).
40*n**5 - 10*n**2
Expand ((-3*s - s + 6*s)*(3*s**3 - 2*s**3 - 3*s**3) + s**4 + s**4 + s**4)*(s + 1 + 0*s - 2).
-s**5 + s**4
Expand (0*p**2 + 0*p**2 - 6*p**2)*((1 + 2 - 1)*(-p + 4*p - p) - 3*p + 2*p - p).
-12*p**3
Expand (-3*j + 8*j + j)*(-4*j + 2*j - 2*j).
-24*j**2
Expand (-4*a + 0*a + 5*a)*(-2 + 2 + 1) - 2*a + 3 - 3 + (1 - 5 + 1)*(-3*a + a - 2*a).
11*a
Expand (2*x - 3*x - x)*(0 - 3 + 5)*(-4*x + 6*x - 3*x)*(2*x + 5*x - 4*x).
12*x**3
Expand (-16*n + 26*n - 11*n)*(-4*n + 2*n + 0*n).
2*n**2
Expand (-23*q**5 - 17*q**3 + 17*q**3)*(-1 + 3 + 0).
-46*q**5
Expand (27*g**2 - 75 + 75)*(2*g - 4 + 4)*(4 + 0 - 3).
54*g**3
Expand (3*s**2 - 2*s**2 + 6*s**2)*(s**3 - 2*s**3 + 3*s**3).
14*s**5
Expand (-4 - 14*r + 4)*(r**4 - r**4 + r**4) - 2*r**5 + 5*r**5 - 5*r**5.
-16*r**5
Expand (2 + 1 - 5)*(-3*v**2 + 3*v**2 - 2*v**2)*(-2*v + v + 5*v + (-1 + 2*v
|
{
"pile_set_name": "DM Mathematics"
}
|
1 (c) 0.07 (d) 5
a
Which is the second smallest value? (a) 4 (b) -1/16 (c) 0.2
c
What is the biggest value in -4, 4/9, 2/3?
2/3
What is the third biggest value in -16, -0.5, -20, -5?
-16
What is the biggest value in 0, -5, 1, 0.15?
1
Which is the second smallest value? (a) -0.3 (b) 5 (c) -1 (d) 0.13
a
Which is the second smallest value? (a) 1 (b) -7 (c) 0.1 (d) -1/4
d
What is the second biggest value in 44, 2, -1, -3?
2
What is the biggest value in -5, 3, -9/2?
3
What is the fourth smallest value in 1.9, -8/11, 3/7, -1?
1.9
What is the fourth biggest value in -2, -3, 5, 3.58?
-3
What is the biggest value in 0.5, -87, -16?
0.5
What is the second smallest value in -3, 0, -0.01, -0.2?
-0.2
Which is the third smallest value? (a) -7.2 (b) 0.1 (c) -8
b
Which is the second smallest value? (a) -2 (b) -2/15 (c) 113 (d) -3/2 (e) 1
d
What is the smallest value in 70, -5, -1?
-5
Which is the third smallest value? (a) 0.2 (b) 0 (c) -1
a
What is the biggest value in -3, 4, -0.2, 1/2?
4
What is the smallest value in -0.301, -3, 2/7?
-3
What is the third biggest value in 0.1, 2/3, 397?
0.1
Which is the third biggest value? (a) -1/9 (b) -3/11 (c) -0.3 (d) 5
b
Which is the third smallest value? (a) -1/3 (b) -2.2 (c) -0.1 (d) -5
a
Which is the biggest value? (a) 2/3 (b) -0.5 (c) 4/5 (d) 6/19 (e) -0.03
c
Which is the smallest value? (a) -5 (b) 1972 (c) -4
a
Which is the third biggest value? (a) -5 (b) -0.134 (c) 0.3 (d) -0.5 (e) 0.4
b
What is the third biggest value in -2, 0.23, -3?
-3
What is the third smallest value in -80, -0.5, -0.1?
-0.1
What is the third smallest value in 0.2, -1/4, 2/1755?
0.2
Which is the fourth biggest value? (a) 9 (b) 6 (c) 7 (d) -2
d
Which is the second biggest value? (a) 12/17 (b) -0.5 (c) 4/11 (d) -4
c
Which is the second smallest value? (a) 61 (b) 2 (c) -4 (d) 0.2 (e) 2/5
d
Which is the second smallest value? (a) -0.2 (b) -5 (c) 600
a
Which is the second smallest value? (a) -0.4 (b) 1 (c) 0.1
c
What is the second biggest value in -0.3, -445, -0.1?
-0.3
Which is the fourth smallest value? (a) -1/5 (b) 4 (c) 2 (d) 0.6
b
Which is the second smallest value? (a) -11/4 (b) -2/3 (c) -4/3 (d) -3 (e) -4
d
Which is the second biggest value? (a) -83 (b) -3/4 (c) -0.3
b
Which is the second smallest value? (a) -4 (b) -0.5 (c) -2/7 (d) 1/5
b
Which is the second biggest value? (a) 27 (b) -5 (c) -4 (d) -0.5 (e) -2/5
e
What is the smallest value in 3, -2/5, 0.4?
-2/5
What is the fourth smallest value in 4, -0.5, 2, -356, 1?
2
Which is the smallest value? (a) 5/4 (b) 3 (c) 4 (d) 32
a
Which is the third smallest value? (a) -15/13 (b) -0.1 (c) -1/4
b
What is the second biggest value in 2, -3, 0.6?
0.6
What is the third biggest value in 45, -4, 1/3?
-4
Which is the second biggest value? (a) 5 (b) 0.3 (c) 2/7 (d) -0.01
b
Which is the second biggest value? (a) 1 (b) -0.03 (c) -12/23
b
Which is the smallest value? (a) 0 (b) 2 (c) 4 (d) 7/64
a
What is the biggest value in 4, -2/3, -12, -0.4, -0.1?
4
What is the third smallest value in -1/15, 2/7, 4, -3?
2/7
What is the third smallest value in -1, -1/23, 2?
2
What is the second biggest value in 0.1, -5, -2/13, 3?
0.1
Which is the second biggest value? (a) 1 (b) 14 (c) -1/2
a
What is the third biggest value in 5, 18, -2, 1/5?
1/5
What is the third smallest value in 2/3, -6, 5/3, 2/11?
2/3
What is the second biggest value in 43, 3, -2/37, 4?
4
What is the second biggest value in -4/7, -56, 0.3, -0.3, -1?
-0.3
What is the third biggest value in 3/5, -4, 93?
-4
What is the third biggest value in 0.3, 2/5, 3/5, 2?
2/5
Which is the fourth biggest value? (a) -0.1 (b) -11 (c) 0.2 (d) 8
b
Which is the third biggest value? (a) -5 (b) -2/3 (c) 82.8 (d) -4
d
What is the third smallest value in 222, -5, 0.2?
222
What is the second biggest value in 2, 2/25, 2/7, -5?
2/7
What is the fourth biggest value in -1/6, -75, 0.2, 3?
-75
Which is the third biggest value? (a) -4 (b) -0.4 (c) -2 (d) 5 (e) 79
b
What is the fourth smallest value in -1/2, -4, -2, 0.11, -1?
-1/2
Which is the fourth biggest value? (a) 0.372 (b) -0.7 (c) 2/7 (d) 3/4
b
What is the fourth smallest value in -1/8, 2/7, -0.4, -13?
2/7
What is the third smallest value in 13, -4, -0.4?
13
Which is the third smallest value? (a) -3 (b) 0.6 (c) 0.07 (d) -1/13
c
Which is the smallest value? (a
|
{
"pile_set_name": "DM Mathematics"
}
|
d**2 + 28*d + 39. What are the prime factors of x(12)?
3, 7, 11
Let n(v) = v**2 + 7*v - 15. Suppose -r + 0*u + u - 16 = 0, -5*r - 40 = 3*u. What are the prime factors of n(r)?
29
List the prime factors of 40/(-12) - (-4492)/3.
2, 3, 83
Let m(j) = 7*j - 46. Let h be m(6). List the prime factors of (178/(-4))/(h/8).
89
Suppose 2*l - 73 = 25. Let z = -35 + l. Let n = z - 1. What are the prime factors of n?
13
Let p(s) = s**2 + 19*s + 4. Let z be p(-19). Suppose -3*i - z*i + 399 = 0. What are the prime factors of i?
3, 19
Suppose -4*k - 5*f = k + 5, -5*k = -f - 13. Suppose k*b + 3*r + r = 36, -4*r = -4*b + 108. List the prime factors of b.
2, 3
Suppose -2*k = -k - 4. Suppose 4*j - 2*z + 18 = 5*j, -5*z = k*j - 60. What are the prime factors of j?
2, 5
Suppose 304 = 4*j + 4*d, 5*j - 189 = 4*d + 164. Let z = j + 72. List the prime factors of z.
5, 29
Let q be (17 - 14)/((-6)/28). Let r = q + 33. What are the prime factors of r?
19
Suppose 0 = 4*z - 3*n - 20, -2*z + 5*n = z - 15. Suppose 0 = -3*q + z*q. Suppose 3*k = -q*v - 4*v + 35, -v - 4 = 5*k. What are the prime factors of v?
11
Let g = 1519 - 919. Suppose -6*i = -g + 168. List the prime factors of i.
2, 3
Suppose 0 = -5*k + q + 35, 4*q - 4 = -3*k + 5*k. Let c(p) = 9*p - 16. List the prime factors of c(k).
2, 7
Let s(r) = -2*r - 17. Let y be s(-12). Let z(c) = y*c + 3 + 0 - 11 + 2*c**2. List the prime factors of z(-8).
2
Suppose 2*o - 4 = -0*d - 3*d, -5*o - 13 = -4*d. Let c be ((-564)/(-30))/(o/5). List the prime factors of (-8)/(-28) - c/14.
7
Let b(u) = 3*u**2 - 18*u. Let y(o) = -5*o**2 + 36*o. Let c(l) = 7*b(l) + 4*y(l). List the prime factors of c(-20).
2, 5
Let x(o) = 34*o - 1. Let f be (1 + -3)*(-3)/6. What are the prime factors of x(f)?
3, 11
Let d = -3 - -18. Let c(f) = -f + 35. Let g be c(d). Suppose 8 + g = 2*h. List the prime factors of h.
2, 7
Suppose -7*n + 8*n = -a + 820, -n = -3*a - 816. List the prime factors of n.
3, 7, 13
Let h(p) = -p**3 - 13*p**2 + 8*p - 10. Let s be h(-12). What are the prime factors of (2/4)/(((-15)/s)/3)?
5
Suppose 0*l = 12*l. Suppose 2*x = -l*m + m + 146, -m = 3*x - 219. List the prime factors of x.
73
Suppose -48 = 5*v - 4*s + 9, -60 = 5*v - 5*s. Let k(i) = -i - 8. Let h(b) = -b + 1. Let u(c) = 4*h(c) + k(c). What are the prime factors of u(v)?
41
Suppose -3*s - 1317 = -2*i + 5109, 0 = -3*s. What are the prime factors of i?
3, 7, 17
Suppose -u + 5*a + 1353 = 0, 5*u + 5*a - 6877 = 2*a. What are the prime factors of u?
1373
Suppose 28796 = 34*b - 11*b. List the prime factors of b.
2, 313
Suppose -445 - 716 = -3*y. What are the prime factors of y?
3, 43
Suppose -5*x = -u - 4468 - 784, 0 = x + 2*u - 1057. List the prime factors of x.
1051
Suppose a = -4*a - 5. Suppose -3*y = 3, 0 = 5*x - 3*y - y + 16. List the prime factors of 31 - (a - -1)/x.
31
Let x = -31 + 31. Suppose -3*d = u - 132, 3*u + x*u - 4*d - 448 = 0. List the prime factors of u.
2, 3
Let s(p) = 22*p**2 + 3*p - 7. What are the prime factors of s(-2)?
3, 5
Suppose 0 = -3*g - 4*t + 10203, -40*g + 45*g - 2*t = 17031. What are the prime factors of g?
3, 5, 227
Suppose 4*b + 20 = 0, -3*b - 160 = -2*o - 5*b. List the prime factors of 7*28 + o/17.
3, 67
Let h be -9 + 14 - 1/1. Suppose h*q = t - 75, -3*q = -4*t + 111 + 163. List the prime factors of t.
67
Let h = -2705 - -5109. List the prime factors of h.
2, 601
Let c = 299 - -721. What are the prime factors of c?
2, 3, 5, 17
Let u(c) = -c**2 - 50*c - 44. What are the prime factors of u(-24)?
2, 5, 29
Suppose a - 523 + 65 = 0. Let g be -4*1 - (0 - a). Suppose -8*y = -42 - g. What are the prime factors of y?
2, 31
Let x be (2/4)/(14/(-168)). Let d be x/8*(-20)/5. Suppose -d*a + 41 = 2. List the prime factors of a.
13
Suppose 3*s - 10 = -2*s, -3*s + 29 = j. Suppose -j*m + 30*m = 2289. What are the prime factors of m?
3, 109
Let t(a) = a**2 + 8*a + 3. Let n be t(-8). Suppose n*q - 2 = d - 7, -1 = -d - q. Suppose d*p = 8, -2*i + 0*p + 28 = -2*p. What are the prime factors of i?
2, 3
Suppose 924 + 1092 = 8*b. Let q = b - 180. What are the prime factors of q?
2, 3
Suppose -4*n - 3256 + 11282 = c, 8034 = 4*n - 3*c. What are the prime factors of ((-6)/18)/((-3)/n)?
223
Let a(y) = 1 + 1 - 310*y + 308*y. Suppose -3*r + 4 = z + 18, 0 = -3*r + 5*z - 20. What are the prime factors of a(r)?
2, 3
Let j be (-8)/(-24) - (-64)/6. What are the prime factors of (1 - 7)/((j/4)/(-11))?
2, 3
Suppose 3*w + 2*g + 14 = 8*w, 4*w - 3*g - 14 = 0. Let c be 13 + -4 - 2*-1. Suppose 129 - c = w*i. List the prime factors of i.
59
Suppose 17*x - 6965 = 3728. What are the prime factors of x?
17, 37
Let s = 376 - -56. List the prime factors of s.
2, 3
Let x = 19 - 15. Let w be x
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of 502266.
2, 3, 97, 863
List the prime factors of 12653869.
1009, 12541
List the prime factors of 9074465.
5, 113, 16061
List the prime factors of 14537454.
2, 3, 139, 17431
What are the prime factors of 3086767?
41, 79, 953
List the prime factors of 43172456.
2, 5396557
List the prime factors of 653150.
2, 5, 13063
What are the prime factors of 62939?
62939
What are the prime factors of 465532?
2, 181, 643
List the prime factors of 169636.
2, 42409
List the prime factors of 12856324.
2, 13, 457, 541
List the prime factors of 25196884.
2, 6299221
What are the prime factors of 469385?
5, 7, 13411
List the prime factors of 2706203.
23, 97, 1213
What are the prime factors of 319632?
2, 3, 6659
What are the prime factors of 10515239?
7, 131, 11467
What are the prime factors of 307742?
2, 153871
What are the prime factors of 3537699?
3, 11, 23, 59, 79
What are the prime factors of 1201468?
2, 300367
List the prime factors of 111990.
2, 3, 5, 3733
What are the prime factors of 17713?
17713
List the prime factors of 7762429.
7762429
List the prime factors of 205028.
2, 51257
List the prime factors of 755445.
3, 5, 50363
List the prime factors of 10168541.
10168541
What are the prime factors of 97758?
2, 3, 5431
What are the prime factors of 1375137?
3, 5659
List the prime factors of 5904292.
2, 1476073
What are the prime factors of 1076730?
2, 3, 5, 19, 1889
List the prime factors of 6992248.
2, 29, 30139
List the prime factors of 2004048.
2, 3, 4639
List the prime factors of 4442545.
5, 43, 20663
What are the prime factors of 3593037?
3, 7, 23, 43, 173
List the prime factors of 1110580.
2, 5, 55529
What are the prime factors of 12639459?
3, 7, 37, 16267
What are the prime factors of 1055564?
2, 17, 19, 43
List the prime factors of 817278.
2, 3, 7, 11, 29, 61
What are the prime factors of 223666?
2, 111833
What are the prime factors of 2037879?
3, 139, 181
What are the prime factors of 2900561?
223, 13007
What are the prime factors of 674462?
2, 19, 17749
List the prime factors of 7121673.
3, 13, 60869
List the prime factors of 1001752.
2, 125219
List the prime factors of 2254704.
2, 3, 107, 439
What are the prime factors of 14794?
2, 13, 569
List the prime factors of 25181.
13, 149
What are the prime factors of 1793000?
2, 5, 11, 163
What are the prime factors of 28470?
2, 3, 5, 13, 73
List the prime factors of 1510905.
3, 5, 11, 9157
What are the prime factors of 463535?
5, 92707
List the prime factors of 510920.
2, 5, 53, 241
List the prime factors of 139178.
2, 13, 53, 101
List the prime factors of 3130171.
11, 284561
List the prime factors of 6679292.
2, 23, 79, 919
List the prime factors of 8219915.
5, 11, 103, 1451
List the prime factors of 5011713.
3, 7, 8839
What are the prime factors of 165402?
2, 3, 1021
What are the prime factors of 409859?
61, 6719
What are the prime factors of 29011784?
2, 19, 31, 47, 131
List the prime factors of 7921915.
5, 17, 93199
List the prime factors of 386180.
2, 5, 19309
What are the prime factors of 1660346?
2, 830173
List the prime factors of 1256062.
2, 17, 36943
What are the prime factors of 30484484?
2, 41, 151, 1231
List the prime factors of 2229928.
2, 278741
List the prime factors of 868247.
97, 8951
What are the prime factors of 449380?
2, 5, 22469
What are the prime factors of 211218?
2, 3, 7, 47, 107
What are the prime factors of 28985?
5, 11, 17, 31
List the prime factors of 23867.
29, 823
List the prime factors of 160128.
2, 3, 139
What are the prime factors of 372667?
372667
List the prime factors of 677470.
2, 5, 37, 1831
What are the prime factors of 682636?
2, 157, 1087
What are the prime factors of 12711?
3, 19, 223
List the prime factors of 2039308.
2, 19, 26833
List the prime factors of 316348.
2, 79087
List the prime factors of 174548.
2, 11, 3967
What are the prime factors of 5429908?
2, 11, 123407
What are the prime factors of 5610221?
17, 523, 631
List the prime factors of 653804.
2, 79, 2069
List the prime factors of 12426869.
7, 13, 136559
What are the prime factors of 408480?
2, 3, 5, 23, 37
List the prime factors of 193823.
7, 27689
What are the prime factors of 260387?
260387
What are the prime factors of 983125?
5, 11, 13
What are the prime factors of 370716?
2, 3, 30893
What are the prime factors of 20448338?
2, 59, 173291
List the prime factors of 362895.
3, 5, 13, 1861
What are the prime factors of 568403?
11, 51673
What are the prime factors of 77704?
2, 11, 883
List the prime factors of 184779.
3, 7, 419
What are the prime factors of 624214?
2, 312107
List the prime factors of 12548.
2, 3137
What are the prime factors of 406704?
2, 3, 37, 229
What are the prime factors of 15836808?
2, 3, 13, 193, 263
List the prime factors of 19690283.
19690283
List the prime factors of 4267674.
2, 3, 79031
List the prime factors of 8577174.
2, 3, 1429529
What are the prime factors of 272694?
2, 3, 47, 967
List the prime factors of 136538.
2, 233, 293
List the prime factors of 171964.
2, 13, 3307
What are the prime factors of 8357657?
7, 11, 108541
List the prime factors of 908185.
5, 67, 2711
List the prime factors of 4122481.
11, 374771
What are the prime factors of 794245?
5, 158849
What are the prime factors of 1054990?
2, 5, 105499
List the prime factors of 7101382.
2, 3550691
What are the prime factors of 13119037?
53, 247529
What are the prime factors of 7916730?
2, 3, 5, 17, 19, 43
What are the prime factors of 12992847?
3, 7, 618707
List the prime factors of 6377493.
3, 2125831
List the prime factors of 1890910.
2, 5, 7, 17, 227
List the prime factors of 7247260.
2, 5, 362363
List the prime factors of 1077191.
1077191
List the prime factors of 3485061.
3, 593, 653
List the prime factors of 13491110.
2, 5, 23, 58657
What are the prime factors of 823812?
2, 3, 11, 79
What are the prime factors of 157989?
|
{
"pile_set_name": "DM Mathematics"
}
|
d for l.
1
Solve -l = -2*g + 2, -4*g = -5*l + 1 + 1 for g.
2
Solve 0 = 4*l - 5*z + 29, -10 = -3*l - 3*z + 2 for l.
-1
Solve 3*m = 2*m + 5*d + 1, -5 = m + d for m.
-4
Solve 5*g + 16 - 37 = u, 3*u + g = 1 for u.
-1
Solve 0 = 2*r - 3*r - 4*z - 2, -4*r + 3 = 5*z for r.
2
Solve 5*h = -5*l + 25, 0 = 2*h + 4*l - 10 for h.
5
Solve 0 = -4*g - 3*p - 5, 5*g - 7*p + 6*p = -30 for g.
-5
Solve 10 - 1 = -3*x, -2 = u - x for u.
-5
Solve 5*y + 4*a - 26 = 0, 0*y + y = 3*a - 10 for y.
2
Solve 15*h - 17*h - 10 = 2*y, 4*y = 4*h - 4 for h.
-2
Solve -g - 13 = 4*a, g - 16 = -2*a + 5*g for a.
-2
Solve 5*c - 2*d - d = 34, 2*d = -2*c + 4 for c.
5
Solve 3*z + 2 = 2*l, 0 = 2*z + 4*l + 2 + 10 for z.
-2
Solve k + 3*k + 1 = 5*w, 0 = 7*w + 4*k - 11 for w.
1
Solve -7 = 3*t - 2*z, -6*z + z = 5 for t.
-3
Solve 3*p + 48 - 18 = 3*w, -5 = -2*w - p for w.
5
Solve 8*h + 4 = 6*h + 2*d, -d + 2 = 3*h for h.
0
Solve -2*s + 5*s - 5*d - 17 = 0, 3*s + 4*d + 19 = 0 for s.
-1
Solve -4*x = 3*y - 20 + 1, -y + 5 = 0 for x.
1
Solve 3*u = 3*v - 6, 4*v - 8 = -4*u + u for u.
0
Solve -19 = -77*s + 79*s - 3*h, -21 = 3*s - 2*h for s.
-5
Solve 9*b - 8*b = -0*t - 3*t, 2*b = 4*t for t.
0
Solve 0 = 4*j + 4, p - 3 = 5*j for p.
-2
Solve 4*k = -2*u - 2*u, -5*u + 7 = -2*k for k.
-1
Solve 0 = x - 6*s + 2*s + 3, 1 = x - 2*s for x.
5
Solve -38*t + 42*t + 8 = -5*n, 3*n = -4*t for t.
3
Solve 0 = -2*q - 8, p - 14 = 4*p + 2*q for p.
-2
Solve m + 4 = -4*k, -5*k - 3 = 3*m - 5 for m.
4
Solve -8 = a - 5*r, 2*a + 17*r = -3*a + 44 for a.
2
Solve -5 = m, 0 - 2 = 3*q + m for q.
1
Solve 5*n - 4*s + 53 = 45, -n + 2*s = 4 for n.
0
Solve -16*n = 4*a - 13*n + 8, -2*n = -a - 13 for a.
-5
Solve -5*t = h, 0*t + 21 = 4*t + 5*h for t.
-1
Solve -11 = 2*q - 2*l - 3, -5*l = -15 for q.
-1
Solve 2*i - 5*m - 6 = -1, -3*m = i + 3 for i.
0
Solve 5*s - 1 + 4 = -4*z, 0 = 5*s + 5*z + 5 for s.
1
Solve -5*q = 0, 2*l - 4 - 4 = 2*q for l.
4
Solve 5*i = -702*c + 704*c + 11, -5*i = 2*c - 19 for i.
3
Solve 0 = -2*y - 4*h - 10, 0 = 4*y + 2*h + 5 - 3 for y.
1
Solve 10*j - 7*j = 3*p - 3, -36 = 4*p + 6*j for p.
-3
Solve -x - t = 28 - 29, 2*t + 5 = 5*x for x.
1
Solve 2*a + 4*s + 11 = 15, -4*a + 8 = s for a.
2
Solve -4*s + 3*l = 8, -5*s - 39*l - 15 = -44*l for s.
1
Solve -16 = 46*h - 49*h - 5*m, -2*h - 5*m = -19 for h.
-3
Solve 0 = -5*k + 5*q + 40, 0 = -3*q + 6*q + 9 for k.
5
Solve 3*r + 2 = -5*v, 5*r = 3*v - 2*v + 6 for v.
-1
Solve 3*u + 3*g = 0, 55*u + 3 = 54*u - 2*g for u.
3
Solve -3*m = -4*h + 7, 7*h = 3*h + 5*m + 17 for h.
-2
Solve 36*p - 38*p + 12 = 5*c, 0 = -4*c + 16 for p.
-4
Solve 4*x - z + 4 = 0, -6*x - z - 4 = 2 for x.
-1
Solve -p = 3*n - 2, -2*p + n = 4*n - 1 for p.
-1
Solve k + 5*w = -0*k + 9, w = -k + 1 for k.
-1
Solve 0 = -4*z + 4*l, -2 = -2*l + l for z.
2
Solve -2 = -c - 6, 4*b + c = 0 for b.
1
Solve 2*v + d + 0 - 3 = 0, 0 = d + 1 for v.
2
Solve 4*i + 3*n - 2*n + 20 = 0, -n + 4 = 0 for i.
-6
Solve -45*m + 48*m = -g, -4 = 5*m + 3*g for m.
1
Solve -4*u - 5*k = 5, 3 = -u + k - 5 for u.
-5
Solve -n = 4*t - 5, 18*n - t = 15*n - 11 for n.
-3
Solve 5*d + 14 = 5*w + 4, 4*d + 4*w = 24 for d.
2
Solve 0 = -i, s - 3*i = -2*i + 1 for s.
1
Solve 0 = l + 4*r + 8, 4*l - 1 = 3*l - r for l.
4
Solve -32*b = 2*m - 27*b + 21, m - 4*b - 9 = 0 for m.
-3
Solve -5*q + 1 = 2*r + 7, 12 = -4*r + 4*q for r.
-3
Solve -k + 19 = -3*l + 6, -k = 5*l + 11 for k.
4
Solve -3*i - 1 = -4*b, -i - 2*b + 13 = -0*b for i.
5
Solve 4*p + 14 = -2*q, -2*p + 7 = 5*q + 2 for q.
3
Solve 5*v = 10, -6*o - 6 = -o - 3*v for o.
0
Solve -4*d - 12 = 3*y, 2*y - 4*y - 8 = 0 for d.
0
Solve i + 3 = x, 3*x - 3*i + 3 = 6*x for x.
2
Solve 5*r + 3*g
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 1 - 1) - 1 + 2 - 2).
221*b
Expand (-n + 0*n - 2*n)*(1 + 2 + 8)*(0 + 0 + 4)*(n - 3*n + 0*n).
264*n**2
Expand (-2*z**3 + 4*z - 4*z)*(-355*z**2 - 157*z**2 - 29*z**2 + 61*z**2).
960*z**5
Expand (-94 + 94 + 152)*(-8 + 8*u**3 + 8 + 2*u**3 - u**3 + 0*u**3 + (-4*u**2 + 3*u**2 + 2*u**2)*(u + u - 4*u)).
1064*u**3
Expand (69*n + 299*n - 196*n)*(-n + 2*n + n**3 + 0*n**3).
172*n**4 + 172*n**2
Expand (-2*h**2 + 0*h**2 + 4*h**2)*(3*h - 4*h + 2*h) + (-38*h**2 + 8*h**2 + 18*h**2)*(4*h - 4*h - 2*h)*(-1 - 1 + 4).
50*h**3
Expand (7 + 831*b - 429*b - 421*b)*(-1 - 2*b + 4*b - b).
-19*b**2 + 26*b - 7
Expand (d + d + 0*d)*(-3 - 2 + 3) + d - 4*d - 7*d.
-14*d
Expand (0*u - u + 2*u)*(55*u + 5884 - 5884).
55*u**2
Expand -51*o**3 + 51*o**3 + 7*o**4 + (2 - 2 + 3*o**3)*(-2*o + 4*o + 0*o) + o**3 - 2*o**4 - o**3.
11*o**4
Expand -m**2 + 0*m**2 - 4*m**2 + 3 - 3*m**2 - 3 + (5*m**2 - 9*m**2 - m**2)*(0 - 4 - 1).
17*m**2
Expand (-2 + 1 + 0)*(0 + 22 - 7)*(-4*x - 3 - 3*x + 1).
105*x + 30
Expand 3 - 6*b + 4*b + 1 + 0*b + 0*b - b + (-6 + 4 + 3)*(4*b + 0*b - 2*b) + 22 - 22 + 12*b.
11*b + 4
Expand (-4*k + 5*k + 1 - 3)*(734 + 96*k - 734).
96*k**2 - 192*k
Expand (5*x - 4*x + 0*x)*(1 + 3 - 2 + (1 + 0 - 2)*(0 - 3 + 1) + 2 + 2 - 3 - 3 + 5 - 3 + 2 + 1 - 4 - 1 + 4 - 2 + (-1 + 5 - 2)*(-3 + 1 + 0) + 49 + 0 - 7).
42*x
Expand ((3 - 1 - 5)*(0 - 2 - 2) + 5 + 0 - 1)*(-3 + 3 + 2*y**2 + 2*y**2 - 5*y**2 + y**2 + (-2*y + y - y)*(3*y - 5*y + 3*y) - 3*y**2 + 3*y**2 - 2*y**2).
-64*y**2
Expand (-5*l**4 + 3*l**4 + l**4)*(2*l + 1 - 1) - l**5 - 2*l**5 + l**5 - 111*l**4 - 7*l**5 + 111*l**4.
-11*l**5
Expand 7*l - 7*l - 6*l**4 + (-l**3 - l + l)*(-2*l + 2*l - l) - 3*l**4 + 5*l**4 - 4*l**4 + (0 + 1 + 0)*(-3*l**2 - 2*l**2 + 4*l**2)*(-7 - l**2 + 7).
-6*l**4
Expand (-1 - 2*t**2 + 1)*(2*t - 2*t + 9*t**2 + (-3*t + 3*t + 2*t)*(t + 2*t + 5*t)).
-50*t**4
Expand (a - 3*a + 0*a)*(5 + 9 + 1) + 6*a - 2*a - a.
-27*a
Expand (102 - 48 - 45)*(-2*c - 2*c + 6*c)*(-4 - 3*c**3 + 4).
-54*c**4
Expand (-49 - 41*r - 38 + 84)*(-4*r**2 + 0*r**2 + 5*r**2).
-41*r**3 - 3*r**2
Expand (153 + 1472 + 605 + 471)*(-2 - j**2 + 2).
-2701*j**2
Expand (-2*y + 0 + 0 + (-1 + 4 + 1)*(-4*y + 331 - 331))*((1 + 0 - 4)*(2*y**2 - y**2 - 3*y**2) - 1 - 5*y**2 + 1).
-18*y**3
Expand (-i + 3*i - 3*i)*(2*i + i - 4*i) + (-i - 2 + 2)*(10*i + 14*i - 4*i) + 10*i**2 - 4*i + 6*i + 0*i.
-9*i**2 + 2*i
Expand (-10 + 6 - 6)*(0 + 0 + 2*p) - 3 - p + 3 - 2*p + p + 3*p + (1 - 6 + 3)*(-9 + 9 + 3*p).
-25*p
Expand (-9*g + 10*g + 9*g)*(-4 + 2 + 22) + (0 + 0 - 2*g)*(4 - 1 - 2) - 2 + 2 + g + (-2 + 1 - 1)*(-1 + 2*g + 1) + (7 - 2 - 3)*(3*g - g - g).
197*g
Expand (2*s**2 - 2*s**2 - 3*s**4)*(-1 + 10 + 16 + 53 - 27 - 25 + (1 - 3 + 4)*(-4 + 2 + 0) + 2 - 6 + 3 + 2 + 1 - 2).
-66*s**4
Expand (5 - 2*k - k + 4*k)*(-17*k**3 + 53 - 53).
-17*k**4 - 85*k**3
Expand (-x - x + 0*x)*((2 - 6 + 3)*(-7 + 0 - 2) + (-2 - 2 + 2)*(-3 - 7 + 0)).
-58*x
Expand (0 - 2 + 0)*(k - 4*k + k) + 3*k - k - k + 20 + k - 20 + (3 - 1 - 1)*(4*k + 0*k + 0*k).
10*k
Expand (-1378 - 6*x + x + 1380)*(-3 + 2 + 0).
5*x - 2
Expand (0 + 0 + 3*i)*(3 - 2 + 5)*(7*i**2 - 4*i**2 + 2*i**2 + 4 + 7*i**2 - 4 + (2*i - 4 + 4)*(-3*i + i + 3*i)).
252*i**3
Expand 4*w + w**2 - 4*w + (3 - 3 + 2)*(2*w**2 + 0*w + 0*w) - 121*w**2 + 1 + 66*w**2 + 72*w**2.
22*w**2 + 1
Expand -3 + 3 + l + 5*l - 2*l - l + (2 - 5 + 4)*(-l - 1 + 1) + 0*l + l + l - 2*l - 2*l + 11*l.
11*l
Expand (-19 + 0 + 10)*(-3 + 1 + 4 + (-4 + 5 + 1)*(2 - 2 - 1) + 4 - 6 + 3)*(f - 4*f + 2*f).
9*f
Expand (630*z - 630*z - 73*z**2)*(3*z - 3*z - z).
73*z**3
Expand (-10 + 2*g + 10)*((157 - 157 - 14*g)*(2*g - 3*g + 2*g) - g**2 - 2*g**2 + 6*g**2).
-22*g**3
Expand -s**3 - 2275*s**2 + 2275*s**2 - 6*s - 13 + (-
|
{
"pile_set_name": "DM Mathematics"
}
|
our dps.
0.0007
Let w = 121710 - 122239.57. Let u = w - -518.5752. Let v = u + 11. What is v rounded to three dps?
0.005
Let d = -1.32 + 1. Let k = d - -32.32. Let s = -31.99896 + k. What is s rounded to 4 dps?
0.001
Let v = -8070948520.00034 - -8070703574. Let k = 244965 + v. Let c = k - 19. What is c rounded to 4 dps?
-0.0003
Let b = 0 - -2. Let m(l) = 58*l**3 - 2*l - 1. Let a be m(b). Let i = 169 - a. What is i rounded to the nearest one hundred?
-300
Let h = -2474 + 2474.000006588. Round h to 7 dps.
0.0000066
Let d be (-4)/6*(-12)/(-4). Let m be (-1353)/(-22)*d*(-20)/(-6). Round m to the nearest 100.
-400
Let r = 0.03 + 0.01. Let y = 0.099 - r. Let w = y - -1.301. What is w rounded to 1 decimal place?
1.4
Suppose -4*d + 4*z - 83217 = -271693, -2*d - 5*z + 94210 = 0. Let k = d - 31115. What is k rounded to the nearest 100000?
0
Let q be 5540/7*(-1 + 36/8). Round q to the nearest 1000.
3000
Let s = 121.08 - 117.2985. Let t = s - 3.8. Round t to three decimal places.
-0.019
Suppose 0*u - 4*u = -40. Let a(r) = 2*r - 5. Let f be a(u). Suppose -62012 = v + v + 4*t, f = -5*t. What is v rounded to the nearest 10000?
-30000
Let o = 0.78 + -66.78. Let q = 65.9796 + o. What is q rounded to 3 decimal places?
-0.02
Let w = -44745 + 44744.57074. Let l = -8 + 8.43. Let k = w + l. Round k to four decimal places.
0.0007
Let k = 4357246.1599829 - 4357249.7. Let h = k - -3.54. Round h to 5 decimal places.
-0.00002
Let j = 829526 - 829524.780158. Let c = 1.22 - j. What is c rounded to five decimal places?
0.00016
Let a = -381.9412 + 381.3. Round a to one dp.
-0.6
Let d(f) = -f**3 + 6*f**2 - 4*f. Let s be d(4). Let x(h) = -11*h - 21. Let a be x(s). What is a rounded to the nearest 10?
-200
Let n = -854078 + 1435078. Round n to the nearest 100000.
600000
Let l be 2/(4/(-5))*-2. Let k be 4/(-6)*(-8 + (6 - 4)). Suppose 0*s + l = 3*q - k*s, -3*q = s + 5. What is q rounded to the nearest ten?
0
Let u = -237 - 736. Let q = 961.03 + u. Round q to the nearest integer.
-12
Suppose 4*p = 0, 2 = 3*y - 2*y + p. Let i be (2/4)/(2/18008). Suppose -5*u - y*q + q = -4498, 5*u - q - i = 0. What is u rounded to the nearest one thousand?
1000
Let g = -12 - -17. Let s be g*(-123 - 3)/3. Round s to the nearest 100.
-200
Let r = 5.46 + -5.26. Let w = 3 + -3.75. Let d = w + r. Round d to 1 dp.
-0.6
Let f(h) = -87021*h + 137. Let n be f(-3). Round n to the nearest 100000.
300000
Let n = -55042 - -82314. Let m = n + -27268.3121. Let y = m + -3.7. Round y to 3 decimal places.
-0.012
Let i = -1004 + 1000.635. What is i rounded to one dp?
-3.4
Let j = -97 - -101.76. Let y = 4.76267 - j. What is y rounded to three decimal places?
0.003
Let q = -24081045 + 24082486.8431. Let z = q - 1358.834. Let d = -83 + z. What is d rounded to 3 decimal places?
0.009
Let m be (0 - -15)*(-14 - 4866126/(-9)). Round m to the nearest one hundred thousand.
8100000
Let j = -105 + 105.095. Let r = 0.09474 - j. Round r to 4 dps.
-0.0003
Let y = -20.7 - -22. Let c = -1.15 - -3. Let g = c - y. What is g rounded to 1 dp?
0.6
Let n = 1.33999 - 0.34014. Let j = 1 - n. Round j to four dps.
0.0002
Let y = 437008 - 133010. Let h be y/(-8) + (-10)/40. What is h rounded to the nearest 10000?
-40000
Let u = -1.405 - -0.91. Let l = 3871.595 - 3891. Let b = l + u. What is b rounded to zero dps?
-20
Let i = 5871 - 5870.5517. What is i rounded to 2 decimal places?
0.45
Suppose -2 = -2*k + 2, 3*k = -4*x - 28210. Let q = -2946 + x. Round q to the nearest 1000.
-10000
Let y = -26 + 26.031. Let s = 17.109 + y. Let g = s - -2.26. Round g to 0 dps.
19
Suppose 4*x - 12 = 0, 4*x + 2424 + 45418 = g. Let y = g - 31254. Round y to the nearest 1000.
17000
Let j = -2.72 + 3. Let b = -74001 + 74001.280156. Let w = b - j. Round w to five dps.
0.00016
Let y = 9.13 + -7.7. Let k = 1.43000292 - y. Round k to 7 dps.
0.0000029
Let v(u) = -186*u**3 + 17*u**2 + 33*u + 18. Let w be v(16). Let p = w - 260042. What is p rounded to the nearest one hundred thousand?
-1000000
Let b = -14526 + 14525.2581. What is b rounded to 1 decimal place?
-0.7
Let q(o) = -o**2 + 1. Let h(z) = -3690*z**3 + 12*z**2 - 1. Let r(a) = h(a) + 6*q(a). Let k be r(-5). Let j = 161405 - k. Round j to the nearest one million.
0
Suppose -o = 8 + 8. Let c = 16 + o. Let d(u) = -u - 1300000. Let p be d(c). Round p to the nearest one million.
-1000000
Let f = 18 + -26. Let l = f + 7.971. Let m = 0.116 + l. What is m rounded to 2 dps?
0.09
Let d = 65.8 - 61. Let p = d + 18.3. Let a = -19 + p. Round a to the nearest integer.
4
Let d(a) be the second derivative of 4*a**2 + 0 + 245833/2*a**3 + 3*a. Let r be d(8). Round r to the nearest one million.
6000000
Let p = -2171 - -2262. What is p rounded to the nearest 100?
100
Let t = 0.228 - 0.193. Round t to 3 dps.
0.035
Let z be (-200)/(-15)*393/2. Let c(t) = -3*t + 17. Let h be c(-4). Suppose 0 = -h*b + 27*b + z. Round b to the nearest 100
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-90
Let i(g) = -122000*g. Let r(x) = -4*x**2 - x. Let f be r(-2). Let c = f + 9. Let m be i(c). What is m rounded to the nearest 100000?
600000
Suppose 0*w - 6984 = 2*x - 3*w, 0 = -4*w - 8. Let p = x + -5505. Round p to the nearest 1000.
-9000
Let u = -594.27 - -594.4700008. Let a = 0.1 - -0.1. Let n = a - u. What is n rounded to six decimal places?
-0.000001
Let u = 2 - -1.5. Let v = 0.12 - -5.88. Let m = v - u. Round m to the nearest integer.
3
Let h = -0.04 - -0.01. Let f = 89.97 - h. Let s = 85.3 - f. Round s to zero decimal places.
-5
Suppose 3*h = -2*h + 15. Suppose 3*d - 590 = -5*b, -4*d - d - h*b = -1010. Round d to the nearest 10.
210
Suppose 2*g + 2*g + 5*j = -205, -2*g + 5*j = 125. What is g rounded to the nearest ten?
-60
Suppose 5*l - 9 - 1 = 0. Suppose 4*i + 2*n = 15196, -i + l*n = -3*i + 7596. What is i rounded to the nearest 1000?
4000
Suppose 0 = -a - a + 328. Let u be (-1)/(-6) + a/24. Suppose b - 11 = u. Round b to the nearest ten.
20
Let b = -111.999651 - -112. What is b rounded to 4 dps?
0.0003
Suppose 0 = 2*b + b. Suppose b*i = -i + 5. Suppose 4*h = -17 + i, 4*d - 2*h = 6. What is d rounded to two dps?
0
Let u = -0.14 - 1.86. Let g = 2.000348 + u. What is g rounded to 5 decimal places?
0.00035
Let q = 13.50000138 + -13.5. What is q rounded to 7 dps?
0.0000014
Suppose -o = -5*o + 120. Suppose -5*s - 5*q = -10*q - o, 3*s + 2*q + 2 = 0. Suppose z = s*z - 1800000. Round z to the nearest one million.
2000000
Suppose 852020 = -3*r - 4*s, 3*s + 1135995 = -4*r + 4*s. Round r to the nearest 10000.
-280000
Let v = 43.9994 + -44. What is v rounded to four dps?
-0.0006
Let u = -225 - -225.00278. What is u rounded to 4 dps?
0.0028
Let j be -55*(6 + -4)*(-2 - 0). What is j rounded to the nearest 100?
200
Let z = -70609566 + 70609554.0000006. Let l = z + 12. What is l rounded to 6 dps?
0.000001
Let y = 23 - -7. Let t = -29.71 + y. Round t to one dp.
0.3
Let x be 4619990/(-55) + (-8)/44. What is x rounded to the nearest 10000?
-80000
Suppose 1704313 = 2*d - 895707. Suppose 4*i = -2*z - 519992, -z = 4*z - 5*i + d. What is z rounded to the nearest 100000?
-300000
Let x be (1 - 1) + (1038 - 1). Let n = 328 - 1865. Let u = x + n. Round u to the nearest one thousand.
-1000
Let h(l) = 2*l**2 + l + 8. Let r be h(-4). What is r rounded to the nearest ten?
40
Let z = -0.8200528 - -0.82. Round z to 6 decimal places.
-0.000053
Let v = -77.066 - -77. What is v rounded to 2 dps?
-0.07
Let v = -10.3 - -11. Let a = -0.5 + v. What is a rounded to the nearest integer?
0
Let s(m) = 221*m**3 - 7*m**2 + m - 6. Let x be s(-6). Round x to the nearest ten thousand.
-50000
Let m = 28 + -3. Suppose -2*j - 2*a - 68 = 0, -j + 3*a - 9 - m = 0. Round j to the nearest ten.
-30
Let z = -15.4 + 15.4968. Let k = 0.1 - z. Round k to 3 dps.
0.003
Let y = -11 + 50. Let o = 655714.99929 - 655676. Let z = y - o. What is z rounded to 4 decimal places?
0.0007
Let h = 7 + -11. Let l be (6/(-8))/(1/h). Let p be ((-20)/l)/(2/159000). Round p to the nearest one hundred thousand.
-500000
Let s be ((-21)/12 + 3)*12. Suppose -3*g + 0 = -s. Suppose g*n + 12824 + 7676 = 0. Round n to the nearest 1000.
-4000
Let p = 11 - 10.999952. Round p to 5 dps.
0.00005
Let m = 149 - 148.99999578. Round m to 7 decimal places.
0.0000042
Let o = 0.2900512 - 0.29. What is o rounded to 5 dps?
0.00005
Let w = 102 + -32. Let v = -70.074 + w. Round v to two dps.
-0.07
Let g = -1848538 + 2875585. Let r = 227047 - g. What is r rounded to the nearest 1000000?
-1000000
Let h be (-6)/(-9) + 93421/3. Let r = h - -6859. What is r rounded to the nearest ten thousand?
40000
Let n = 65.033 - 0.033. Let h = 54555.973 - 54491. Let f = n - h. Round f to two dps.
0.03
Let r = -0.934 + -0.026. Round r to one dp.
-1
Let d = 1746.94373 + -1747. Let v = 0.061 + d. Let a = v - 0.005. Round a to 4 dps.
-0.0003
Let n = 42 + -16. Let c = 17 - n. Let q = 8.999982 + c. Round q to five decimal places.
-0.00002
Let w = 37 + -32. Let k = 16306947 + -16306941.9999996. Let z = k - w. What is z rounded to seven dps?
0.0000004
Let v = -3.6005 - -3.6. What is v rounded to three decimal places?
-0.001
Suppose 22 = -3*k + 5*k. Let l be (-2)/k + 9248/44. Suppose -3*b - 840 = -l. What is b rounded to the nearest 100?
-200
Suppose 0*c + 2*c = 15000. Let w be (120/(-9))/5*c. Round w to the nearest 10000.
-20000
Let n be 7 - (9/(-3))/((-9)/(-6)). Round n to the nearest 10.
10
Let c(j) = 6 - 1 + 2551*j - 1. Let n be c(-4). What is n rounded to the nearest 1000?
-10000
Let o be -7 - -6 - -1*19. Suppose -28 = -j - o. Round j to the nearest one hundred.
0
Suppose -5*w + 490 + 410 = 0. Suppose y + y = -w. What is y rounded to the nearest one hundred?
-100
Let l = -28310 - -75310. Round l to the nearest ten thousand.
50000
Let s = -0.051 - -0.253. What is s rounded to two decimal places?
0.2
Let n = 0.05 - 0.05. Let m = -0.2 + n. Round m to 1 dp.
-0.2
Let c = -85 + 150. Suppose 4*t + 164 = 3*p - 62, t = 5*p - c. Round t to the nearest ten.
-60
Let i =
|
{
"pile_set_name": "DM Mathematics"
}
|
ctor 3/7*i**2 + 0 + d*i.
3*i*(i + 1)/7
Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0.
-1, 1
Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0.
-3, -2
Let h(c) be the third derivative of -c**6/120 + c**5/120 + 2*c**2. Factor h(s).
-s**2*(2*s - 1)/2
Suppose 32/3 + 2/3*p**3 + 16*p + 6*p**2 = 0. Calculate p.
-4, -1
Let j(p) be the first derivative of -5*p**6/6 - 4*p**5 - 25*p**4/4 - 10*p**3/3 - 1. Factor j(h).
-5*h**2*(h + 1)**2*(h + 2)
Let u(s) be the first derivative of -4*s - 2/3*s**3 + 3*s**2 - 1. Factor u(n).
-2*(n - 2)*(n - 1)
Factor 0 + 2/5*k + 2/5*k**2 - 8/5*k**5 + 22/5*k**4 - 18/5*k**3.
-2*k*(k - 1)**3*(4*k + 1)/5
Let j = 177585 + -1600486/9. Let z = j - -247. Factor -2/9*c**2 + 0 - z*c**3 + 2/9*c**4 + 2/9*c.
2*c*(c - 1)**2*(c + 1)/9
Let q(v) = -3*v**3 - 5*v**2 - 7*v + 5. Let o(p) = 61*p**3 + 66*p**3 - 129*p**3 + 3 - 4*p - 3*p**2. Let t(l) = 5*o(l) - 3*q(l). Factor t(g).
-g*(g - 1)*(g + 1)
Factor 9/2*z - 3/4*z**2 - 27/4.
-3*(z - 3)**2/4
Let f = -151/4355 + 8/201. Let u(m) be the second derivative of 0 + 0*m**3 + 1/130*m**5 + 2*m - f*m**6 + 0*m**4 + 0*m**2. Solve u(l) = 0 for l.
0, 1
Let x(l) = -3*l**3 + 13*l**2 + 3*l. Let m(w) = -w**3 + 6*w**2 + 2*w. Suppose -s + 25 = -6*s. Let p(a) = s*m(a) + 2*x(a). Find o, given that p(o) = 0.
-2, 0
Let w be (-4)/(-2) - ((-882)/56)/(-9). Let i be 0 + 0*(-1)/2. Factor 0 + w*c**3 + 0*c**2 + i*c.
c**3/4
Let v(n) = n**3 + n**2 + 1. Let f(c) = 5*c**4 + 18*c**3 + 29*c**2 + 20*c. Let h(q) = f(q) + 4*v(q). Factor h(k).
(k + 1)**2*(k + 2)*(5*k + 2)
Let m(h) be the second derivative of h**6/40 - 3*h**5/10 + 3*h**4/2 - 4*h**3 + 6*h**2 - 5*h. Factor m(q).
3*(q - 2)**4/4
Let f(q) be the third derivative of q**9/30240 + q**8/5760 - q**7/5040 - q**5/20 + q**2. Let l(r) be the third derivative of f(r). Factor l(a).
a*(a + 2)*(4*a - 1)/2
Let b(g) = -16*g - 1. Let j(s) = 3*s. Let w(r) = 2*b(r) + 11*j(r). Let y be w(6). Find h such that 1/6*h**5 + 0*h + 1/6*h**3 + 0*h**2 + 0 + 1/3*h**y = 0.
-1, 0
Let a(w) = -35*w**4 - 13*w**3 + 167*w**2 - 155*w + 36. Let u(f) = 17*f**4 + 7*f**3 - 83*f**2 + 77*f - 18. Let y(o) = 2*a(o) + 5*u(o). Factor y(t).
3*(t - 1)**2*(t + 3)*(5*t - 2)
Let h = 29 - 24. Let x(b) = -b**4 - 4*b**3 - b**2. Let z(s) = 3*s**4 + 9*s**3 + 3*s**2. Let u(a) = h*x(a) + 2*z(a). Factor u(k).
k**2*(k - 1)**2
Let p(m) = m**4. Let k(v) be the first derivative of -4*v**5/5 + v**4 + 14*v**3/3 + 4*v**2 - 2. Let n(c) = 2*k(c) + 4*p(c). Factor n(b).
-4*b*(b - 4)*(b + 1)**2
Let p(j) = 8*j. Let y be p(1). Suppose 6*l - y = 2*l. What is f in 6*f**3 + 0*f - 3*f**4 - l*f - f**4 = 0?
-1/2, 0, 1
Let j = 2/19 - -24/133. Factor 4/7*n + j + 2/7*n**2.
2*(n + 1)**2/7
Let n = -1/224 - 575/224. Let q = 20/7 + n. Find t such that 2/7*t**3 + 0*t - q*t**5 + 0 - 2/7*t**4 + 2/7*t**2 = 0.
-1, 0, 1
Let g(r) = -19*r**4 - 88*r**3 - 43*r**2 + 30*r - 4. Let h(s) = 18*s**4 + 87*s**3 + 42*s**2 - 30*s + 3. Let z(x) = 3*g(x) + 4*h(x). Find t such that z(t) = 0.
-5, -1, 0, 2/5
Let m(f) = f - 2. Let n be m(2). Let 1/4*p**2 + 1/2*p + n = 0. What is p?
-2, 0
Suppose 2*q = 4*d - 0*d + 22, -29 = 5*d - q. Let s be (-1)/(-6) - 35/d. Let -2*g**2 + 2 + 0*g**3 + 2 - s*g**3 - 2*g**4 + 6*g = 0. What is g?
-2, -1, 1
Let z(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 + v**2. Factor z(r).
-2*r*(r - 1)**2*(r + 1)/7
Let -3*r + 2 - r**2 - 5 + 1 = 0. What is r?
-2, -1
Let c(d) be the second derivative of -d**6/120 + d**5/16 - d**4/16 - 3*d**3/8 + 20*d. Suppose c(q) = 0. Calculate q.
-1, 0, 3
Let r(q) be the second derivative of -1/30*q**6 + 1/10*q**5 - 1/12*q
|
{
"pile_set_name": "DM Mathematics"
}
|
= -48*a - 38. Let u be b(-1). Solve 5*y = u, -4*y = 2*o + 3 - 13 for o.
1
Let t be ((-1)/2)/((-44)/264). Solve 9*p + 27 = 4*p + l, -t*p - 5*l = 5 for p.
-5
Let v be (-30)/60 - (-10)/4. Suppose -5*i - k = -6, 0 = -i - v*k - 3*k - 18. Solve -p + i + 2 = -5*n, -5*n = 2*p - 8 for n.
0
Let m be 2*-2*(-18 - -16). Suppose -m = c - 5*c. Suppose 3*b + 2*i + 19 = 4*b, 0 = 5*b - 4*i - 65. Solve 3*z - 1 = -h - 6, 5*z + b = -c*h for z.
-1
Let a = -26 + 39. Let s = a - 12. Let y = -8 - -10. Solve s = -l + y*h, 4*h - 3 = -l - 10 for l.
-3
Let a(s) be the second derivative of -s**5/20 + 5*s**4/12 + s**3 + 24*s. Let h be a(6). Solve h = q - 1, 3*d + 2 + 3 = 2*q for d.
-1
Let u(x) = x**2 - x - 1. Let s(f) = -17*f + 35. Let g(c) = s(c) + u(c). Let p be g(16). Solve 3*o + 5 = -4*j - p*o, 2*j - 2*o = -16 for j.
-5
Suppose -3*u = -5*u + 4. Suppose 18*g = 5*g + 65. Solve 3*b - 5*m - 1 = g, -4 = -u*b + 5*m for b.
2
Suppose 5*s - s = 96. Let i be ((-42)/63)/((-1)/s). Solve -4*h + 3*a = -a - i, a + 6 = -h for h.
-1
Suppose t = 12 - 11. Let o be (-45)/35 + t - (-60)/14. Solve o*n + 20 = -4*k, -2*n + 3*n - 20 = 4*k for k.
-5
Suppose b - 18 + 2 = 0. Suppose 10*a - b*a + 36 = 0. Solve 0 = -2*k - 6, -a*v + 2*v - 24 = 4*k for v.
-3
Let b(v) = v**2 - 28*v - 55. Let n be b(30). Solve n*g - 19 = p, 2*p + g + 4 = -1 for p.
-4
Let l = -882 + 887. Let f be (4/(-2) - -2)/(-2). Suppose -5*q + 141 = -c - 3*c, f = -4*q + 2*c + 108. Solve q = -4*n + k, -l*n + n - 35 = -3*k for n.
-5
Let x(q) = -q**2 + 17*q + 113. Let f be x(22). Solve -5*l = -2*h - 2 - 9, -f*h + 4*l = 6 for h.
2
Let r(l) = 17*l - 119. Let v be r(8). Solve 4*c + 5*h = 4*h - 3, c - 3*h = -v for c.
-2
Suppose -2*r + r = 0. Suppose r*x + 18 = x. Let c = 31 - x. Solve v - 2 = 5*b + c, -v = 5*b + 25 for v.
-5
Suppose 0 = -3*g - 9, -23*b = -19*b + 3*g - 3. Solve 0 = b*y + 3*o + 10 + 2, -2*o - 6 = 0 for y.
-1
Suppose -5*b + 20 = -4*b. Solve -4*x = b - 8, 3*x + 9 = 2*d for d.
0
Let r = 108 + -106. Solve -r*a - k - 15 = 2*a, k = 4*a + 17 for a.
-4
Let u(c) = -c + 7. Let j be (-15 + 0)/5*(-4)/6. Let r be u(j). Solve 0 = 3*d - r*d, g + 2 = -2*d for g.
-2
Let f(b) = 3*b**2 + b - 3. Let m be f(3). Solve -4*z - 14 = 3*u, 5*z = -u + 2*u - m for z.
-5
Let m = 56 + -51. Suppose 12 = 4*k - 5*o, 3*k - m*o = -2*o + 9. Solve -3*q - 4 = -4*q - t, k*t = 0 for q.
4
Let y be (-56)/(-24) + (-2 - (-10)/6). Solve 0*u = -3*u + 2*w - 4, -u + y*w = 8 for u.
2
Suppose 42 = -14*m + 28*m. Solve 3*b = -3*g + 5*g - m, -3*b = g - 6 for g.
3
Let q(g) = 20*g**2 - g - 1. Suppose -11 = 6*p - 17. Let x be q(p). Solve 4*b - 3*f = -f + 20, x = 2*b - 3*f for b.
3
Suppose -5*j - 5*b + 25 = 0, 2*j - b - 4 = 6. Let x = j - 5. Suppose -4*t + v + 12 = 0, v + 20 = t + 5*v. Solve x = 3*h - 5*h + 2, 2*h = -t*y + 6 for y.
1
Let q be 290/(-15) + (-2)/(-6). Let h = q - -22. Solve -h*w - w + 2*c = 26, -w + 21 = 5*c for w.
-4
Let q(u) = -u**2 - 9*u + 5. Let s be q(-9). Solve -c - 4*c = s*w + 5, 3*w + 3 = -2*c for c.
0
Suppose -52*r - 44 + 148 = 0. Solve -r*i - 8 = -0*c + 4*c, 0 = -3*i + 3*c - 12 for i.
-4
Let n = -8 + 3. Let q = -2 - n. Suppose q - 2 = m. Solve -r + m = -2*l - 0*r, 0 = -l + r - 1 for l.
0
Suppose -4*q = -8*q. Suppose 0*f + f - 2 = q. Solve 5*x - f*j + 35 = 0, -6 = -x + 4*j - 31 for x.
-5
Let u = -26 - -19. Let y = 10 + u. Solve 0 = 2*v + 4*o + 10, -1 = 5*v - 5*o + y*o for v.
-1
Let f(j) = -j - 9. Let u be f(-12). Let m(s) = -2 - u*s**2 - 7*s + 2*s + s**3 + 5*s**2. Let i be m(-3). Solve 3*k - 4*v = -5, v + i + 6 = -3*k for k.
-3
Suppose 5*t + 5 = 0, -k = -0*k - 4*t - 16. Suppose -3*a + 19 = 5*q, 3*a + 2*q - 1 = 4*a. Suppose -2*s = -a - 5. Solve 4*h = z - 4*z, 0 = -s*h - k for z.
4
Let a = 96 + -50. Let n be -43*(-2)/4 - a/92. Solve -f - n = -7*o + 3*o, -2*f - 2 = 0 for o.
5
Let q = 70 + -66. Solve -r - 4*s + 11 = 0, q + 7 = 4*r + 5*s for r.
-1
Let a be 1 + ((-4)/32 - 50/(-16)). Solve 4*x + a = 4
|
{
"pile_set_name": "DM Mathematics"
}
|
-1, -3, -4, -5, -20, -839
Sort 3, -8.6, -2, 4.39, -0.64.
-8.6, -2, -0.64, 3, 4.39
Put -886, -3, 13541 in descending order.
13541, -3, -886
Sort 0.196, 6, -4, -2/5, 4.
-4, -2/5, 0.196, 4, 6
Sort -11, 2, 788, 0, -4 in increasing order.
-11, -4, 0, 2, 788
Sort 2, 0, -1, -28180, 20 in decreasing order.
20, 2, 0, -1, -28180
Put -0.169, -3/4, 197733 in ascending order.
-3/4, -0.169, 197733
Put 5, -4.5, -3, -2.4, 1, 29 in ascending order.
-4.5, -3, -2.4, 1, 5, 29
Put -96, 9, 264, -2, 2 in increasing order.
-96, -2, 2, 9, 264
Put -0.985, 3/5, 4, 0.0256 in descending order.
4, 3/5, 0.0256, -0.985
Sort 751, -188, 5, 7 in decreasing order.
751, 7, 5, -188
Sort -814, 34.9, 14 in decreasing order.
34.9, 14, -814
Sort -2409, -1/29, -3, 0.2, 20 in decreasing order.
20, 0.2, -1/29, -3, -2409
Sort -6, -5, 3, -44, -8, 36, -1 in descending order.
36, 3, -1, -5, -6, -8, -44
Put 4, -18, 125, -1, 33 in decreasing order.
125, 33, 4, -1, -18
Sort -1/3, -0.25, 46, 4, 3, -2/17 in descending order.
46, 4, 3, -2/17, -0.25, -1/3
Put 0, -369, 2055, -4, 7, -1 in descending order.
2055, 7, 0, -1, -4, -369
Sort 5, -1.2, 109, 3, 0, 2 in decreasing order.
109, 5, 3, 2, 0, -1.2
Put -4, 4, 0, 3, 5, 101, -12 in increasing order.
-12, -4, 0, 3, 4, 5, 101
Put 309, 2/3, 0, 17669 in increasing order.
0, 2/3, 309, 17669
Sort -25, -63, -0.1, 3, 15, 0.5.
-63, -25, -0.1, 0.5, 3, 15
Put -6, 2, 12, -1, 196, 0, 11 in increasing order.
-6, -1, 0, 2, 11, 12, 196
Sort 9, -3, -9, -25844 in increasing order.
-25844, -9, -3, 9
Sort -249, 56, -2, -5.
-249, -5, -2, 56
Sort -22.962, -2, -1/4, -220 in descending order.
-1/4, -2, -22.962, -220
Put 3, -17391113, 4 in descending order.
4, 3, -17391113
Sort 372, 3, 92, 2/15, 0 in descending order.
372, 92, 3, 2/15, 0
Put 162, -566, -5, 78, 1 in descending order.
162, 78, 1, -5, -566
Sort -15, 5, 1, -51, -5, -20, -4 in increasing order.
-51, -20, -15, -5, -4, 1, 5
Put 5, -20, -223, -3, 3, 10 in descending order.
10, 5, 3, -3, -20, -223
Put -2/15, -388, 218 in descending order.
218, -2/15, -388
Sort 4, 0, 2, -1, 680, 7121 in increasing order.
-1, 0, 2, 4, 680, 7121
Put 0, -5, -1, -2, 339720 in increasing order.
-5, -2, -1, 0, 339720
Put -961, 3, -0.5, -0.01, 1, 7 in decreasing order.
7, 3, 1, -0.01, -0.5, -961
Sort -13.207, -2, -398 in decreasing order.
-2, -13.207, -398
Put 5, 3, -1, -4/597, -1.824 in increasing order.
-1.824, -1, -4/597, 3, 5
Put -5/8, -1125, -4, -1, -0.3, 0.5 in increasing order.
-1125, -4, -1, -5/8, -0.3, 0.5
Put -2/51, -81566, -0.5 in descending order.
-2/51, -0.5, -81566
Sort 1, 3/7, 3, -2/11, -2.294.
-2.294, -2/11, 3/7, 1, 3
Sort -4, -0.4426574, 65 in increasing order.
-4, -0.4426574, 65
Put -2, -113, 3, 2/141, -1903 in increasing order.
-1903, -113, -2, 2/141, 3
Sort 3, -125, 2314, -3, 5 in decreasing order.
2314, 5, 3, -3, -125
Put -19143.6, -2, 8/21 in increasing order.
-19143.6, -2, 8/21
Sort -0.1, 5, 1517, 2/353 in descending order.
1517, 5, 2/353, -0.1
Put 2075965, 0, -4 in ascending order.
-4, 0, 2075965
Put -0.2804, -5/4, 136, 0.06 in ascending order.
-5/4, -0.2804, 0.06, 136
Sort -218, 0.21, -2/631 in descending order.
0.21, -2/631, -218
Put 39, 10, 1, 0, -772 in descending order.
39, 10, 1, 0, -772
Sort 4, -3516, -1133 in descending order.
4, -1133, -3516
Put -6503386, 4, -3, 0 in descending order.
4, 0, -3, -6503386
Put -343/72108, -0.2, 0.4, -13 in decreasing order.
0.4, -343/72108, -0.2, -13
Put -0.4, -40945, 3, -0.5 in ascending order.
-40945, -0.5, -0.4, 3
Put 6, -702, -1/4, -16, 3 in ascending order.
-702, -16, -1/4, 3, 6
Sort 5.5, -3, 2.294, -2/17, -20 in increasing order.
-20, -3, -2/17, 2.294, 5.5
Sort 2, 7, 53572 in descending order.
53572, 7, 2
Put 201, -6.4, -16, 0.4, 1/3, -2 in descending order.
201, 0.4, 1/3, -2, -6.4, -16
Sort -73, 4, -1, -1/67 in descending order.
4, -1/67, -1, -73
Sort 0, -16, -4, 4675.
-16, -4, 0, 4675
Put 2/19, 77, 0.08, -1, 1, -1/29 in descending order.
77, 1, 2/19, 0.08, -1/29, -1
Sort 0.2, -136779/5, -2/57, 0.
-136779/5, -2/57, 0, 0.2
Put 16, 44, 16418, 4, 2, 3 in decreasing order.
16418, 44, 16, 4, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
b + p - 12 = 0 for b.
-4
Solve -4*l + 5*c = 161, -3276*c = -5*l - 3273*c - 107 for l.
-4
Solve 0 = v - 4*x - 15, -3*v + 0*x - 19*x - 10 = -18*x - 2*x for v.
-5
Solve 4*b - 41 = 2*n - 43, -4*b + 4*n = -16 for b.
-5
Solve -45*i + 83*i - 26 = -3*f + 34*i, -35*f = 4*i - 218 for f.
6
Solve -5*n = -3*m - 3*n + 10, 956 = 263*m - 23*m - 4*n for m.
4
Solve 0 = 2*o - 3*t - 40 - 0 + 21, 5*o - 34 = 3*t for o.
5
Solve 317*p + 6*u = 315*p + 50, 0 = -3*p - 4*u + 65 for p.
19
Solve -f + 3*f = -8*b + 18, -4*f = 849816 - 849868 for b.
-1
Solve 0 = 2*z + 22*o - 118, -215*z - 5*o = -219*z - 11 + 2 for z.
4
Solve 9*f = 5*r - 66, -51*f - 6*r = -25*f - 29*f - 9 for f.
-9
Solve 33 = a - 3*d, -2*a - 16*d + 12*d = -5*a + 39 for a.
-3
Solve -429*u = -8*r - 432*u + 48, -2*r + 12 = -2*u for r.
6
Solve 5*z - 2*u + 23 = -6*z, -z + 2*u = 9908 - 9915 for z.
-3
Solve 147 - 48 = 3*j, -14*j = -24*o - 10*j - 180 for o.
-2
Solve -9 + 3 = -z, -36*a + 3*z - 126 = -z + z for a.
-3
Solve 16*f = b + 625, -191 = -5*f - 4*b + 58 - 58 for f.
39
Solve -461*m + 462*m = 3*v - 22, 4*v - 4*m = 64 for v.
3
Solve -1694*p + 5*f = -1694*p - 140, 0 = p + 3*f + 89 for p.
-5
Solve -g - 7*q + 2*q = -34 - 115, -113*g + 2*q = -106*g + 67 for g.
-1
Solve -8*t + 0 = y + 16, -4*y = 630 - 598 for t.
-1
Solve 4*a = -5*q - 10239 + 10520, -52 = -q - 5*a for q.
57
Solve -2*v + 2 = 0, -5*l - 37906*v = -37909*v + 43 for l.
-8
Solve 33*m + 108*q + 103*q - 205*q - 57 = 0, 0 = 3*m - 4*q + 13 for m.
1
Solve 5*w = -88*o - 2753, -55*w + 59*w - 31 = 4*o + 73 for o.
-31
Solve 30 = -7*x + 7*x - 5*u, 2*x + 5*u + 150 = 124 for x.
2
Solve -2*b + o - 1 = 0, 95250*o = -5*b + 95252*o - 1 for b.
1
Solve -5*g + 4974*p - 35 = 4969*p, -2*g = -5*p + 17 for g.
-6
Solve -5*p - 5*p + 25 - 311 = 4*v, 205*p = -4*v - 5941 for v.
1
Solve -4*t + 2*u + 88 = 0, -683442*t - 5*u = -683460*t + 412 for t.
24
Solve -2623 = 97*i - 2*l, -5*i - 308*l + 304*l - 127 = 0 for i.
-27
Solve 2*y - 2*o = -0*o + 4 - 2, -o - o - 58 = 12*y for y.
-4
Solve -d + 2*d = -8*x + 1, 4*d - 29*x + 33 = -24*x for d.
-7
Solve 8*h = 3*j + 89, 4*j - 11970*h = -11974*h + 28 for j.
-3
Solve -17*p + 11*p = 5*u + 2 + 13, 0 = 5*u - 4*p + 15 for u.
-3
Solve 2*m + 5*l + 75 = 0, -456*m + 60 = -461*m - 5*l for m.
5
Solve -39*p + 40*p - t - 27 = -3*t, p - 29 = -3*t for p.
23
Solve 367*a + 363*a = 726*a - 8, 4*s = -3*a + 13 + 9 for s.
7
Solve 0 = -i - 3*k + 8849 - 8837, -5*i + 30 = 5*k for i.
3
Solve -9 = 10*f + 2*o - 61, -61*f + 4*o - 29 = -66*f for f.
5
Solve -23*l + 55 = -14*l + l + 5*k, -5*l - k = -29 for l.
6
Solve 4*t - 131 + 32 = -4*p + 9, 133 = 5*p - 4*t + 7 for p.
26
Solve 2*o + 3*k - 30 = 0, k + k - 139 - 28 - 26 = 69*o + 38 for o.
-3
Solve -3*v + 3 = 0, 14*u + 2504 = 4*v + 2430 for u.
-5
Solve -x = -v + 11, -9211*v + 2*x + 31 = -9208*v - 3*x for v.
12
Solve -m + 366*i - 62 = 388*i, 4*m - 28 = 4*i for m.
4
Solve 0 = 4*q - 3*p + 15 + 43, -44 = -6*p + 4*p for q.
2
Solve 4*u = -13*p + 55, 490*p - 239*p - 246*p = 2*u + 7 for p.
3
Solve 5*q - h = -0*q - 23 + 17, 1269*q - 1265*q + 4*h = 0 for q.
-1
Solve -6155*m + 6150*m + 110 = 85*w, -4*m = -2*w - 18 for w.
1
Solve 234*n + 4*s = 236*n + 5 + 11, -7*n + 10*s = 40 for n.
0
Solve 5*b = -51*x + 337, 4*b - x + 0 - 1 = 6*b for b.
-4
Solve 13*y + 505 - 37 = -d, 3*y + 108 = 5*d for y.
-36
Solve -2*a + m = 2*m - 86 + 116, m - 35 = 3*a for a.
-13
Solve -10*z = -2*l + 2, -18*z + 2*l = -20*z - 46 for z.
-4
Solve -135*h + 134*h - 14 = 4*u, 13*u + 52 = 0 for h.
2
Solve 2*i + 16 = -4*r, 0 = -i + 19343*r - 19346*r - 11 for i.
-2
Solve 3 = 5*s + 14*v + 10*v - 54, -13 - 44 = 15*s - v - 9 for s.
-3
Solve s + 269 = 4*o, -58*s = 59*o - 55*s - 1740 - 2210 for o.
67
Solve 139*x - 137*x = 2*z + 26, -z = 36*x - 36*x for x.
13
Solve -1118*c + 61*v = -1120*c + 787, v - v + 95 = 3*c + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
81
What are the prime factors of 1530325023?
3, 17, 3181, 9433
List the prime factors of 245184686.
2, 6907, 17749
List the prime factors of 1161351641.
22397, 51853
List the prime factors of 2615226.
2, 3, 41, 10631
List the prime factors of 77114778.
2, 3, 13, 988651
What are the prime factors of 40490200?
2, 5, 443, 457
What are the prime factors of 78594856?
2, 9824357
What are the prime factors of 933473914?
2, 19, 2029, 12107
What are the prime factors of 60244082?
2, 103, 109, 2683
What are the prime factors of 1439381036?
2, 18413, 19543
List the prime factors of 44211250.
2, 5, 113, 313
What are the prime factors of 18709072?
2, 19, 61543
What are the prime factors of 94446513?
3, 7, 499717
What are the prime factors of 999945545?
5, 193, 1036213
What are the prime factors of 436670298?
2, 3, 2801, 2887
What are the prime factors of 241057683?
3, 26784187
What are the prime factors of 324778575?
3, 5, 11, 393671
What are the prime factors of 426434178?
2, 3, 71072363
List the prime factors of 14603916.
2, 3, 59, 20627
What are the prime factors of 166171553?
59, 263, 10709
What are the prime factors of 178432803?
3, 19825867
List the prime factors of 4447244658.
2, 3, 741207443
List the prime factors of 84193624.
2, 137, 76819
What are the prime factors of 84757657?
84757657
List the prime factors of 404574594.
2, 3, 67429099
What are the prime factors of 65814154?
2, 7, 197, 487
List the prime factors of 89891822.
2, 29, 71, 83, 263
What are the prime factors of 251553478?
2, 11, 11434249
What are the prime factors of 49597713?
3, 11, 157, 3191
What are the prime factors of 87758641?
17, 1361, 3793
What are the prime factors of 837223452?
2, 3, 13, 59, 1123
List the prime factors of 329432052.
2, 3, 17, 1614863
What are the prime factors of 6692277?
3, 2230759
List the prime factors of 716709166.
2, 37, 9685259
What are the prime factors of 1948475868?
2, 3, 139, 1168151
List the prime factors of 264794527.
264794527
What are the prime factors of 6520189660?
2, 5, 326009483
What are the prime factors of 523213398?
2, 3, 9689137
List the prime factors of 71488501.
7, 353, 4133
List the prime factors of 251293255.
5, 47, 739, 1447
What are the prime factors of 1293375802?
2, 61, 10601441
List the prime factors of 105399263.
105399263
List the prime factors of 380799568.
2, 23799973
List the prime factors of 1677664180.
2, 5, 1907, 43987
List the prime factors of 49170272.
2, 47, 32693
What are the prime factors of 45468066?
2, 3, 7, 1082573
What are the prime factors of 306535430?
2, 5, 30653543
What are the prime factors of 5827143671?
53, 199, 552493
What are the prime factors of 168160784?
2, 11, 379, 2521
What are the prime factors of 538581974?
2, 7, 38470141
List the prime factors of 63329024.
2, 11, 43, 523
What are the prime factors of 109714653?
3, 12190517
List the prime factors of 41763096.
2, 3, 101, 5743
What are the prime factors of 38611820?
2, 5, 13, 97, 1531
What are the prime factors of 10526304?
2, 3, 19, 29, 199
List the prime factors of 115798650.
2, 3, 5, 11, 70181
List the prime factors of 1877590555.
5, 1933, 194267
List the prime factors of 2478370483.
17, 145786499
List the prime factors of 161894647.
37, 127, 131, 263
List the prime factors of 5480241599.
7, 211, 3710387
What are the prime factors of 364299431?
364299431
List the prime factors of 121109781.
3, 13, 19, 137, 1193
List the prime factors of 239166540.
2, 3, 5, 17, 26053
List the prime factors of 217696800.
2, 3, 5, 61, 1487
List the prime factors of 1153901100.
2, 3, 5, 11, 349667
What are the prime factors of 26077630?
2, 5, 23, 113381
What are the prime factors of 91328113?
127, 719119
What are the prime factors of 34999497?
3, 13, 389, 769
List the prime factors of 603972064.
2, 79, 173, 1381
What are the prime factors of 1268081893?
13, 2447, 39863
List the prime factors of 1325443536.
2, 3, 89, 103421
What are the prime factors of 2614753778?
2, 7, 13, 71, 137, 211
What are the prime factors of 34074192?
2, 3, 709879
List the prime factors of 539472930.
2, 3, 5, 857, 20983
What are the prime factors of 151881529?
79, 1922551
List the prime factors of 3900941492.
2, 7, 139319339
List the prime factors of 169821176.
2, 7, 367, 8263
What are the prime factors of 143781615?
3, 5, 733, 1453
What are the prime factors of 376320172?
2, 59, 593, 2689
What are the prime factors of 392591119?
392591119
What are the prime factors of 613667865?
3, 5, 40911191
What are the prime factors of 388403527?
947, 410141
What are the prime factors of 38656935?
3, 5, 193, 4451
What are the prime factors of 67558340?
2, 5, 17, 198701
What are the prime factors of 29816600?
2, 5, 11, 13553
List the prime factors of 807093163.
807093163
List the prime factors of 70870353.
3, 23623451
What are the prime factors of 418099969?
7, 103, 631, 919
What are the prime factors of 260572003?
260572003
What are the prime factors of 12088343?
17, 79, 9001
What are the prime factors of 1215968287?
1215968287
What are the prime factors of 17657316?
2, 3, 490481
List the prime factors of 1332381207.
3, 444127069
What are the prime factors of 418993332?
2, 3, 2677, 13043
What are the prime factors of 191337715?
5, 283, 135221
List the prime factors of 430937617.
11, 39176147
What are the prime factors of 23604598?
2, 1049, 11251
List the prime factors of 81746864.
2, 5109179
List the prime factors of 39032553.
3, 7, 1858693
What are the prime factors of 21736219?
23, 167, 5659
What are the prime factors of 1480800814?
2, 53, 503, 27773
List the prime factors of 46388117.
2357, 19681
What are the prime factors of 945271137?
3, 315090379
List the prime factors of 2022660749.
41, 103, 478963
What are the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
20 + 1 - (-32 + -79 + 35 + 79) - 9?
9
What is (16 + -16 + -3 - -5) + -7 + 4?
-1
Evaluate -2 + -3 - (17 - (6 - -1 - -6)).
-9
(1 - -38) + -118 + (-15 - -32)
-62
What is the value of 22 + -2 - ((37 - 27) + -11)?
21
What is the value of -2062 + 2091 - (1 + 64)?
-36
-16 + (-17 - -51) + 5 + (5 + -7 - 4)
17
What is the value of 253 + -77 - (19 - (-38 - -16))?
135
19 - (49 - (-18 + 16 - -4))
-28
Evaluate -36 - 4 - (-34 + 0 + 17).
-23
Evaluate (2 - (2 + -13 - -24)) + -16.
-27
Calculate (-34 - -43) + -61 - (-23 - -1).
-30
Evaluate -90 + -11 + 75 + 100 + -13.
61
What is 1 - -3 - (67 - (20 - (-13 + 26) - -4))?
-52
Evaluate -23 + 74 + -49 + 18.
20
Calculate 12 - (33 + (-1 - 4) + -8 + 21).
-29
270 + -234 - (1 + 5)
30
Evaluate (12 - (3 + 17 + 0 + 5) - -13) + 12.
12
Calculate ((32 - 37) + 35 - 0) + -47.
-17
What is ((56 - -3) + -1 - (-286 + 300)) + -14?
30
(-47 - 2) + (2 - (-111 - -117 - (9 + -1)))
-45
Evaluate -7 + -1 - (-93 + 44 + 16).
25
-29 + 111 + (-100 - -35)
17
-44 + (225 + -29 - 60)
92
Calculate -70 - -57 - -57 - 32.
12
What is (199 - (152 + 31)) + 0 + 21?
37
Evaluate (-1 - 73) + (22 + -4 - 1) + (-260 - -235).
-82
Evaluate -11 + (23 - 3) + -19 + -41 + -13.
-64
Evaluate 1 + 39 + -4 + 944 + -978.
2
0 + -8 + (-35 - (-21 + -51)) + -37 - 27
-35
Calculate (46 - (-22 + 41)) + -16.
11
What is -19 + -47 + -9 + 2 + (-2 - 0) + 2?
-73
-32 - (8 + -3 + -2 + 4 + -10)
-29
What is 11 - (45 + -51) - 20?
-3
Calculate (-5 - -2) + (13 - -1 - ((-130 - -61) + 75)).
5
Calculate 3 + (-5 + 20 - 20 - -12 - (3 + 5)).
2
What is -17 + -13 + (-647 - -782)?
105
Evaluate -31 - (-142 + 62 + 24).
25
What is the value of -38 - (36 - (95 - 38))?
-17
Evaluate 20 + 115 + (6 - (-6 - (11 + -19) - 2)).
141
391 - 386 - (-10 - -8)
7
What is the value of 83 + (-10 - (7 + 9) - -13 - -8)?
78
(223 - (70 + 134)) + (-1 + -1 - 46)
-29
Calculate 25 - (-7 + 2) - (405 - 321).
-54
Calculate 307 - 92 - 132 - 141.
-58
Evaluate 78 - (-29 - (-26 + -40)).
41
Evaluate -14 + (12 + 25 - -22).
45
What is the value of 2 - 1 - (23 + -1 - (92 - (-14 + 50)))?
35
What is the value of 8 - (18 - -70) - -173?
93
What is 19 + -28 + 58 + -32?
17
What is the value of 17 - (103 + 2) - (-2 - -1) - -17?
-70
What is the value of 8 - (-114 - -11) - 8 - (-18 + 21 - 16)?
116
-15 + -14 - -31 - (5 + -2 - 5 - -2)
2
What is -19 + (26 - (25 - 15))?
-3
What is 9 - (-5 + (13 - -51) - (-24 + 15))?
-59
15 + -1 + (0 - -8 - 8) - -47 - 10
51
What is the value of -10 + (-4 + 6 + (35 - 4) - 9)?
14
Evaluate 76 + (58 - 89) + 0 + 11.
56
What is 9 + (1 - -1) + (-33 - (-9 + -13)) + -12?
-12
-39 + (1 - -4 - (-8 + 10 + 12))
-48
What is (-29 - 15) + 52 - (7 + 0) - -47?
48
Calculate -3 - -33 - (39 + -22) - (33 + 3).
-23
What is the value of -3 + (-63 - -112) + -72?
-26
What is (-118 - 15 - (-12 - (-18 - -5))) + 18?
-116
Evaluate -52 - (40 + -199 - 13) - (-2 + -1 + 17).
106
Evaluate -51 - (-59 + -5 + 15).
-2
What is 48 + 154 + -119 + -168?
-85
0 + (36 - 5) + (14 - -20)
65
What is the value of -49 - ((-1 - (5 - 4)) + -6 + -4 + 16)?
-53
(-37 - (-39 - -25)) + (36 - 4)
9
5 + 0 + -15 + 594 + -592
-8
Calculate -2 - 109 - (-192 - (27 + -186)).
-78
What is 14 - (-3 + -10 + 7 - -4) - 3?
13
What is the value of -3 + 9 + -2 - ((-16 - -17) + 9)?
-6
Evaluate 16 + 6 + -16 + -33 - -15.
-12
Evaluate 36 + -61 - (3 + -10 - -38).
-56
What is the value of -8 + (8 - (20 - 45)) + -16?
9
What is the value of -52 - (-97 + 43 + -18)?
20
2 + -3 + -149 + 7344 + -7306
-112
Evaluate -56 + 12 + -3 + 25 + -15.
-37
Calculate 46 + -121 + (-139 - -124).
-90
Calculate 18 + (62 - 91) + 0 - (15 - 1).
-25
Evaluate (1 - ((39 - 29) + (2 - 4)) - -48) + 7.
48
Evaluate -67 + (37 - 87 - -82).
-35
45 + (-5 - (-4 - -5) - 8) - (3 + -5)
33
What is the value of 8 + 0 + (-7 - -6) - -14 - -7?
28
24 + (108 - (27 - -45))
60
What is 2 - 0 - (0 + 5) - (-28 - (-12 - -40))?
53
Evaluate -23 - (-9 + 23 + (-1 - 15)).
-21
Evaluate -107 - (31 - 65 - -24) - -22.
-75
What is the value of -22 + 10 - (-1 - -10 - (101 + -85))?
-5
Calculate 256 + -185 + (-2 - -3 - -10).
82
Calculate (0 - -2 - (-5 + -1)) + 1810 + -1773 - -6.
51
Calculate 8 - -140 - (28 + (-27 - -25) + -19).
141
Calculate 73 + -61 + -4 + -85.
-77
Evaluate (-4 - (10 - 48)) + -11 + 9 - 10.
22
What is -3 - (17 - ((-23 - -13) + 16))?
-14
What is -19 + 8 + -9 - (51 - (-21 - 10))?
-102
What is -29 - (40 + -80) - (2 + 7) - 131?
-129
Calculate -1 + -1 + (52 - (-23 + 61 + -23)).
35
Evaluate (1 - (-2 + 1)) + 337 + -201 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) -0.016
b
Which is the closest to -1.6? (a) -1 (b) 0 (c) -14 (d) 2/5
a
What is the nearest to 1 in 2/3, 2, -6, -0.1, -3007?
2/3
What is the closest to 16 in 0, -3/4, -626?
0
Which is the closest to 0.3? (a) -447 (b) 4 (c) 13/5
c
What is the nearest to 2/3 in -93, 0.2, -2, -0.01, -1/4?
0.2
What is the nearest to 1/27 in -1/3, 2/9, 19?
2/9
Which is the closest to 0.1? (a) 23/6 (b) 0.5 (c) 3 (d) -31
b
Which is the nearest to 0.9? (a) 0.1 (b) -0.1 (c) 3 (d) -13 (e) 0.07
a
What is the nearest to -1 in 668, 2/11, 0?
0
Which is the closest to -5? (a) 18 (b) 0.2 (c) -5 (d) 9.7 (e) -1/2
c
What is the closest to 0 in 5041, 0.5, 0?
0
What is the nearest to -3 in 3, -1, -4, -140?
-4
What is the closest to -9 in 3, -1/4, -5500?
-1/4
What is the nearest to -1 in 2, 12/5, -3, 33.4?
-3
What is the nearest to 2 in 2/135, 0.06, -3.51?
0.06
Which is the closest to 0? (a) -13 (b) -1 (c) -184 (d) 23
b
What is the closest to 1 in -0.5, -3/4, -512, 4, 6/5?
6/5
What is the closest to 0 in 0.4, -7/5, -0.2, 2/11, -44?
2/11
What is the nearest to 0 in -0.04, 53, -1429?
-0.04
Which is the closest to -132? (a) 27 (b) 3 (c) 2 (d) -1/6 (e) 0
d
What is the closest to -3 in 6304, 3/4, 3/7, -2/11, -5?
-5
What is the nearest to -2/23 in 2, -4/13, 23?
-4/13
Which is the closest to -2? (a) 4/9 (b) 0.2 (c) -0.05 (d) 25 (e) -0.2
e
Which is the closest to 1? (a) 10 (b) 0 (c) 58 (d) 2/11
d
What is the nearest to 3 in -14/9, 302, 2/29?
2/29
Which is the nearest to -0.021? (a) -1 (b) -1/2 (c) 16
b
Which is the closest to 0.05? (a) 6 (b) 5 (c) 1 (d) 0.5
d
Which is the nearest to 7? (a) -0.8 (b) 2/5 (c) 0.2 (d) 22
b
What is the nearest to -1/9 in -53, 3, -3/7, 0.4?
-3/7
Which is the closest to 94? (a) -3 (b) -0.43 (c) 0.5
c
Which is the nearest to 0.1? (a) 2/505 (b) 2/9 (c) 4
a
Which is the nearest to 1? (a) -0.3 (b) -0.5 (c) -0.4 (d) 0.68
d
Which is the nearest to 0.1? (a) -105 (b) -1/4 (c) -0.058 (d) -3
c
What is the nearest to -0.1 in -0.3, 5/4, -0.06, -557?
-0.06
What is the nearest to 0.088 in 12/7, -1/5, -170?
-1/5
What is the nearest to -1 in -3, 2, 1804/7?
-3
Which is the nearest to -2162? (a) -4 (b) 0 (c) 0.5
a
What is the closest to 0 in -2, -2/3, 2/9, 407.4?
2/9
What is the closest to -1 in -0.1, -9/722, 2/5, -0.06?
-0.1
Which is the nearest to 1? (a) -20 (b) -14221 (c) 0.1
c
Which is the closest to -34? (a) -0.1 (b) 1/3 (c) -5 (d) 2/9 (e) 0
c
Which is the closest to 0.05? (a) 59/9 (b) 5 (c) -0.4 (d) -3 (e) -0.06
e
Which is the nearest to -1? (a) 1/2 (b) -9 (c) 2/7 (d) -63/5
c
Which is the nearest to -0.5? (a) 0 (b) -0.4 (c) 1 (d) 0.2 (e) -1/881
b
Which is the closest to 9? (a) 13 (b) 0.5 (c) -1/29
a
Which is the closest to -4/3? (a) -5 (b) 2/13 (c) -80.4 (d) -2 (e) 0
d
What is the closest to -4 in -5/64, 2/11, 0.5?
-5/64
What is the nearest to -1 in -2, 3, 0.4, -4, 9/8?
-2
What is the nearest to 7 in 2/155, -0.03, 1.1?
1.1
What is the closest to -1 in -21, 0.5, -3, 1629?
0.5
Which is the nearest to 2/165? (a) 2 (b) -4 (c) 54
a
What is the nearest to -0.2 in 0.9, 0.1, 0.082, -8, 4?
0.082
Which is the nearest to -2/7? (a) 1 (b) 2223.1 (c) -5
a
What is the nearest to -1/3 in 0, -52, -2/121, 5/6, 1/16?
-2/121
Which is the nearest to 5? (a) -0.07 (b) 0 (c) 3 (d) 6 (e) 3/4
d
What is the nearest to -2.5 in 1/2, 1, -290, 0?
0
What is the closest to 0 in 1542, 2, 2/131, 1?
2/131
What is the closest to 95 in 1, 1/6, -119, -1?
1
What is the closest to -1/2 in -374/39, 4, -2/9?
-2/9
Which is the nearest to 0.1? (a) 30/31 (b) -12 (c) -0.4 (d) 1
c
What is the closest to -0.5 in -1.2, 2/5, -3/10, -1?
-3/10
Which is the closest to -1/3? (a) 1 (b) -2/9 (c) -513 (d) -0.1 (e) 0.1
b
What is the nearest to 0.1 in -1/5, 446, -11?
-1/5
What is the nearest to -1/11 in -1/2, -0.16, 3, 0.3?
-0.16
What is the closest to -4/35 in
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when 7200926 is divided by 32.
30
Calculate the remainder when 236939 is divided by 59226.
35
Calculate the remainder when 881901 is divided by 912.
909
Calculate the remainder when 422202 is divided by 421939.
263
What is the remainder when 1009931 is divided by 26577?
5
Calculate the remainder when 566246 is divided by 479.
68
Calculate the remainder when 194795 is divided by 10952.
8611
Calculate the remainder when 357621 is divided by 58740.
5181
What is the remainder when 3259403 is divided by 651872?
43
What is the remainder when 330556 is divided by 41240?
636
What is the remainder when 3553401 is divided by 13511?
8
What is the remainder when 15481599 is divided by 19?
0
Calculate the remainder when 5402027 is divided by 708.
695
What is the remainder when 2267557 is divided by 23869?
2
Calculate the remainder when 638267 is divided by 8743.
28
Calculate the remainder when 4026047 is divided by 1342008.
23
What is the remainder when 135117 is divided by 1396?
1101
Calculate the remainder when 6388307 is divided by 38.
13
Calculate the remainder when 160092077 is divided by 63.
5
What is the remainder when 57406908 is divided by 11?
9
What is the remainder when 71617837 is divided by 341?
335
What is the remainder when 40709953 is divided by 855?
838
Calculate the remainder when 19538804 is divided by 78155.
54
Calculate the remainder when 747483 is divided by 373724.
35
What is the remainder when 9836756 is divided by 537?
527
What is the remainder when 4622418709 is divided by 8?
5
What is the remainder when 456299 is divided by 333?
89
What is the remainder when 54643 is divided by 785?
478
What is the remainder when 3088303 is divided by 205855?
478
What is the remainder when 1160344 is divided by 1245?
4
Calculate the remainder when 20538050 is divided by 395.
25
What is the remainder when 43532813 is divided by 1581?
1559
What is the remainder when 810707 is divided by 1696?
19
What is the remainder when 21078418 is divided by 110?
108
What is the remainder when 41956573 is divided by 15?
13
Calculate the remainder when 19418274 is divided by 2480.
2354
What is the remainder when 34399 is divided by 1468?
635
Calculate the remainder when 16317506 is divided by 7625.
6
Calculate the remainder when 42214 is divided by 36.
22
Calculate the remainder when 4731793 is divided by 3.
1
What is the remainder when 842970 is divided by 144?
138
What is the remainder when 10399758 is divided by 97194?
0
Calculate the remainder when 4721676 is divided by 384.
12
Calculate the remainder when 6525558 is divided by 3262767.
24
Calculate the remainder when 8859885 is divided by 4009.
4004
Calculate the remainder when 1298263 is divided by 1876.
71
Calculate the remainder when 2527173 is divided by 315849.
381
What is the remainder when 1154797 is divided by 24570?
7
What is the remainder when 21319840 is divided by 5329956?
16
Calculate the remainder when 2588126 is divided by 934.
12
What is the remainder when 265727 is divided by 129713?
6301
Calculate the remainder when 15497771 is divided by 5165906.
53
Calculate the remainder when 5771980 is divided by 1442993.
8
Calculate the remainder when 110925 is divided by 3288.
2421
What is the remainder when 27232896 is divided by 419?
410
Calculate the remainder when 51610 is divided by 51580.
30
Calculate the remainder when 14853307 is divided by 12.
7
Calculate the remainder when 28769 is divided by 3553.
345
What is the remainder when 16620 is divided by 7107?
2406
Calculate the remainder when 9816 is divided by 3116.
468
Calculate the remainder when 2853453 is divided by 104.
5
Calculate the remainder when 70672581 is divided by 3212390.
1
Calculate the remainder when 3760505 is divided by 1729.
1659
What is the remainder when 94101526 is divided by 8?
6
Calculate the remainder when 16838625 is divided by 400919.
27
Calculate the remainder when 1357181 is divided by 135718.
1
What is the remainder when 17832045 is divided by 2652?
2649
What is the remainder when 2662 is divided by 667?
661
Calculate the remainder when 211795 is divided by 70577.
64
What is the remainder when 231249 is divided by 297?
183
Calculate the remainder when 1507149 is divided by 2178.
2151
Calculate the remainder when 2726373 is divided by 139.
27
Calculate the remainder when 87016538 is divided by 37.
12
What is the remainder when 13312419 is divided by 484?
483
What is the remainder when 129167552 is divided by 107550?
2
What is the remainder when 58696357 is divided by 1614?
19
Calculate the remainder when 246671359 is divided by 2048.
2047
What is the remainder when 35655 is divided by 17747?
161
What is the remainder when 3636609 is divided by 519514?
11
Calculate the remainder when 15057 is divided by 4495.
1572
What is the remainder when 11149918 is divided by 28?
10
Calculate the remainder when 87756037 is divided by 46.
43
What is the remainder when 52337070 is divided by 267?
264
What is the remainder when 1072559 is divided by 127?
44
What is the remainder when 2227857 is divided by 858?
489
What is the remainder when 131858 is divided by 131028?
830
Calculate the remainder when 5394357 is divided by 189.
108
Calculate the remainder when 155866214 is divided by 44.
42
Calculate the remainder when 68909752 is divided by 5742479.
4
Calculate the remainder when 79016 is divided by 521.
345
What is the remainder when 22505 is divided by 32?
9
Calculate the remainder when 313212 is divided by 916.
856
What is the remainder when 21142200 is divided by 10571074?
52
Calculate the remainder when 503639 is divided by 62951.
31
What is the remainder when 167701482 is divided by 15?
12
What is the remainder when 1308203 is divided by 210?
113
Calculate the remainder when 110016 is divided by 1110.
126
What is the remainder when 1600068 is divided by 799988?
92
Calculate the remainder when 177956 is divided by 88357.
1242
Calculate the remainder when 1048490 is divided by 65529.
26
What is the remainder when 319898 is divided by 105746?
2660
What is the remainder when 9459461 is divided by 1736?
1733
What is the remainder when 2004696 is divided by 903?
36
What is the remainder when 1425896 is divided by 328?
80
What is the remainder when 14985772 is divided by 25?
22
Calculate the remainder when 31830 is divided by 15906.
18
What is the remainder when 419778 is divided by 2185?
258
What is the remainder when 135828 is divided by 1269?
45
Calculate the remainder when 64186428 is divided by 2070529.
29
What is the remainder when 25544 is divided by 1409?
182
Calculate the remainder when 371585 is divided by 61792.
833
What is the remainder when 287487 is divided by 1067?
464
Calculate the remainder when 59288381 is divided by 3055.
3051
What is the remainder when 63580 is divided by 335?
265
Calculate the remainder when 1270261534 is divided by 11774.
11770
What is the remainder when 22788 is divided by 4213?
1723
What is the remainder when 1416707 is divided by 4403?
3344
What is the remainder when 191951 is divided by 170?
21
What is the remainder when 8229499 is divided by 456?
67
What is the remainder when 68972089 is divided by 202?
199
What is the remainder when 229245 is divided by 2121?
177
Calculate the remainder when 285977 is divided by 14297.
37
What is the remainder when 8475764 is divided by 29?
21
What is the remainder when 2834087 is divided by 16874?
16129
Calculate the remainder when 288
|
{
"pile_set_name": "DM Mathematics"
}
|
3)?
False
Let k = -16 + 31. Suppose r - 5 = k. Is 6/10 - (-968)/r a multiple of 15?
False
Let j = 52 + -45. Suppose 0 = j*r - 684 - 828. Is r a multiple of 12?
True
Let q = 86 + 596. Is q a multiple of 62?
True
Is (3 - 66/42)/(4/5614) a multiple of 34?
False
Let v(y) = -10*y + 224. Does 6 divide v(6)?
False
Suppose 3771*j - 3776*j = -1080. Is j a multiple of 18?
True
Suppose 2746 - 506 = 8*g. Does 28 divide g?
True
Let s be (-6)/(8/(-12)*3) + -72. Let d = 108 + s. Does 21 divide d?
False
Let m(w) = -w**2 - 29*w - 94. Let c be m(-25). Let b = -158 + 226. Let j = b - c. Does 21 divide j?
False
Suppose 6*n = 4*n - 2. Let m(f) = 3*f**2 + 2*f + 1. Let q be m(n). Suppose q*w - 126 = -w. Does 21 divide w?
True
Let z(d) = 2*d + 30. Let o be z(-14). Suppose -o*y + 57 = 1. Does 28 divide y?
True
Let z(y) = y**3 - 6*y**2 - 2*y + 17. Let i be z(6). Suppose -3*o + 6*o = -2*q + 14, q + 45 = i*o. Is 2 a factor of o?
True
Let n(a) = -8*a - 28. Let x(m) = 25*m + 85. Let t(r) = -8*n(r) - 3*x(r). Does 5 divide t(-6)?
True
Let w(o) = -o**2 + 19*o - 24. Is w(15) even?
True
Suppose -266 = -10*z + 394. Does 11 divide z?
True
Let m(w) = -60*w - 89. Does 9 divide m(-5)?
False
Let p = 2 + 6. Let x(f) = 3*f + 10*f**2 - p*f**2 + 5*f + 2. Is x(-7) a multiple of 11?
True
Let y = 147 - 144. Suppose y*h - 172 = 248. Is h a multiple of 25?
False
Suppose 0 = -0*c + 5*c + 1590. Let o = c + 202. Let z = o - -164. Is 13 a factor of z?
False
Let i = 1474 + -890. Is 8 a factor of i?
True
Let w = -91 + 131. Is 8 a factor of w?
True
Let m(h) = 5*h**2 - 8*h. Suppose x - 12 = 3*x. Let q(s) = 9*s**2 - 15*s. Let t(c) = x*q(c) + 11*m(c). Is t(-7) a multiple of 11?
False
Suppose 34*t = 37*t - 15. Suppose 188 = -w + t*w. Is w a multiple of 9?
False
Let r(b) = -b**3 - 8*b**2 - 7*b + 6. Let y(q) = -q**3 + 2*q**2 - q + 5. Let k be y(3). Let t be r(k). Is 11 a factor of (-1)/(-3) + 262/t?
True
Let l(i) = -i**3 + 9*i**2 - 6*i + 4. Suppose -10*x = -6*x - 12. Let h be (-7 + x)/(-16)*28. Is l(h) a multiple of 20?
True
Does 16 divide (-11)/((-330)/7695) + 1/(-2)?
True
Suppose -k - 4*k + 2075 = 5*o, 2*o = k + 830. Suppose o = 3*m - 4*t, -t + 143 = m - 0. Is m a multiple of 30?
False
Let z(l) be the first derivative of l**6/360 + l**5/12 + 3*l**4/8 - l**3/3 - 5. Let k(y) be the third derivative of z(y). Is 8 a factor of k(-10)?
False
Let j = 6 + -3. Suppose 0 = -10*k + 15*k. Suppose q + 0*q - j = k. Is 3 a factor of q?
True
Let j(k) = 5*k + 10. Let x be j(-5). Does 11 divide ((-176)/(-10))/((-3)/x)?
True
Is ((-72)/(-10))/(14/35) a multiple of 2?
True
Suppose 2*x - 4 = 3*p + 13, 0 = -2*x - 3*p + 47. Suppose x*q = 11*q. Suppose 0 = v - 5*h - 1, h + 21 = v - q*h. Does 11 divide v?
False
Let d(l) = -8*l + 3. Let s be (-20)/6 + 46/(-69). Is 7 a factor of d(s)?
True
Let s = -235 - -261. Is s a multiple of 26?
True
Let i = -11 - -7. Let t(u) = u**2 + u - 2. Let l be t(3). Is 2 a factor of ((-30)/25)/(i/l)?
False
Let h be (5 - (-3 - -9))*(-141 + 0). Suppose 5*o = -2*b + h, 0 = b + 2*o - 60 - 9. Is 21 a factor of b?
True
Let c(m) = 2*m**3 + 20*m**2 - 2*m + 8. Let z(h) = h**3 + 10*h**2 - h + 4. Let x(j) = -6*c(j) + 13*z(j). Does 15 divide x(-6)?
False
Does 18 divide (-4)/18 - 16460/(-36)?
False
Let t be (29/(-3))/((-6)/18). Suppose 4*l - t = 39. Is 5 a factor of l?
False
Does 3 divide ((-5)/20)/((-37)/199652)?
False
Let i be 1 - (1/(-1) - -2). Suppose -5*y + i*y = -430. Is 6/27 + y/18 even?
False
Let k = -1735 - -1122. Let r = k - -906. Suppose 7*p = 1 + r. Is 22 a factor of p?
False
Suppose 4*c + 180 = -4*i, -i + 2*c - 60 = -0*i. Let b = i + 62. Is b even?
True
Suppose -20 = g - 6*g. Let c be (g - 1 - -48)*-1. Let a = 83 + c. Is 12 a factor of a?
False
Let l = 55 + -51. Suppose z - 2*w - 14 = 0, 0 = 4*z - l*w + 41 - 113. Is 3 a factor of z?
False
Let j(n) = -3*n + 2. Let i be j(-8). Suppose -l = l + i. Let z = l - -20. Does 4 divide z?
False
Let w = 397 - 192. Suppose -204*z - 26 = -w*z. Does 13 divide z?
True
Let f(x) = x**3 - 1 - 5*x**2 + 10 - 2*x**2 - 5*x. Let j be f(8). Is 29 a factor of 963/33 + (-6)/j?
True
Suppose 6*s + 8 - 128 = 0. Suppose 1844 = -s*b + 4784. Is b a multiple of 7?
True
Let o be 4 + (1 + -2)*1. Suppose 4*x - 5*x - 2*c = -18, 4*c - 44 = -o*x. Does 2 divide x?
True
Is (28/(-56))/((-51322)/(-17108) + -3) a multiple of 28?
False
Suppose -2*w + 6*w - 32 = 0. Suppose -105 = w*u - 11*u. Does 12 divide u?
False
Suppose 3*o - 6 - 3 = 0. Suppose 6*g - 51 = o*g. Suppose g = i - 10. Is i a multiple of 13?
False
Let b(x) = -2*x - 45. Let m be b(-24). Is 0 + 1/m + 624/18 a multiple of 5
|
{
"pile_set_name": "DM Mathematics"
}
|
fferentiate y(r) wrt r.
16*r**3 + 9*r**2
Let m(c) be the first derivative of c**3 + 0*c + 168 + 169/6*c**6 + 0*c**5 + 0*c**2 + 0*c**4. Find the third derivative of m(r) wrt r.
10140*r**2
Let h(j) be the third derivative of 1/24*j**4 + 0*j + 53/40*j**6 + 152*j**2 + 1 + 61/60*j**5 + 0*j**3. Find the third derivative of h(l) wrt l.
954
Let l(m) be the first derivative of 70 + 4*m**3 + 0*m**4 + 0*m**5 + 3/2*m**2 - 1/3*m**6 - 32*m. What is the second derivative of l(f) wrt f?
-40*f**3 + 24
Let g(t) = 7*t**2 - 7*t + 13. Let d be g(3). Let a = 57 - d. Differentiate -2 + 4*s + 6*s + a*s - 3 wrt s.
12
Let n = 12049 - 12049. Let r(g) be the second derivative of 0*g**3 + 5/4*g**5 - 17*g + 14*g**2 + n + 0*g**4. What is the first derivative of r(v) wrt v?
75*v**2
Let c(j) = 482*j**4 + 4*j**2 + 1476. Let z(t) = -1446*t**4 - 13*t**2 - 4427. Let l(v) = 13*c(v) + 4*z(v). Find the first derivative of l(q) wrt q.
1928*q**3
Let n(j) = -648*j**2 + 261*j**2 - 757*j**2 - 304*j + 1384*j. Let p(b) = -88*b**2 + 83*b. Let y(k) = -3*n(k) + 40*p(k). Find the second derivative of y(c) wrt c.
-176
Let b(q) = 2*q**3 + 9*q**2 - 5*q - 4. Let i be b(-5). Let k be ((-30)/i)/5 + 2/4. Find the third derivative of x**2 + 3*x**5 - 3*x**k + 22*x**2 wrt x.
180*x**2
Let m(k) be the second derivative of 69*k**8/8 - k**4/2 - 167*k**2/2 + 614*k - 2. What is the third derivative of m(r) wrt r?
57960*r**3
What is the derivative of -3*g - 89 - 371 + 200*g**2 + 13*g**2 + 5*g wrt g?
426*g + 2
Let v(i) = -195*i**2 + 103*i**2 + 101*i**2 + 89 + 5*i + 37*i**3. Let z(q) = -9*q**3 - 2*q**2 - q - 22. Let o(n) = -2*v(n) - 9*z(n). Differentiate o(r) wrt r.
21*r**2 - 1
Let x(f) be the second derivative of -f**3/6 - 5*f**2/2 - 12*f. Let z be x(-8). Find the third derivative of z*k**5 + 118*k**3 + 3*k**2 - 118*k**3 wrt k.
180*k**2
Let l(y) = 3026*y**2 - 3063*y + 88. Let z(t) = 3025*t**2 - 3065*t + 77. Let o(n) = 7*l(n) - 8*z(n). Find the second derivative of o(h) wrt h.
-6036
Let b(t) be the third derivative of -347*t**7/35 - t**6/120 + 6941*t**4/24 - 1462*t**2 + 5*t. What is the second derivative of b(j) wrt j?
-24984*j**2 - 6*j
Let m be 5/30 - 123/(-18). Suppose m*y = 11*y - 8. What is the third derivative of 8*o**2 + 7*o**y + 13*o**3 + o**3 + 5*o**2 wrt o?
84
What is the third derivative of 3488 - 953*d**5 + 3480 + 73*d - 6968 + 15*d - 5*d**2 wrt d?
-57180*d**2
Let y(l) = 46*l**3 + 57. Suppose 5*k + 14 = 6*k. Let o(f) = 31*f**3 - 6 - 6 + 36 + k. Let d(n) = 7*o(n) - 5*y(n). What is the first derivative of d(x) wrt x?
-39*x**2
Let u(c) = -c**3 - 12*c**2 + 12*c - 842. Let l(j) = -2*j**3 - 22*j**2 + 24*j - 1686. Let n(y) = 6*l(y) - 11*u(y). Differentiate n(w) wrt w.
-3*w**2 + 12
Differentiate 2478 - 194*a**4 - 192*a**4 - 197*a**4 + 581*a**4 + 905*a**2 wrt a.
-8*a**3 + 1810*a
Suppose -3*v = -4*d - 198, -7*v + 4*v + 198 = 2*d. What is the second derivative of 158*h**3 - 158*h**3 - 4*h - h**2 - 5 + v*h**4 wrt h?
792*h**2 - 2
Suppose b = m + 6*b - 26, 16 = 4*b. What is the second derivative of 11 - k + m*k + 16*k**5 - 6*k + 3*k**4 + 2*k wrt k?
320*k**3 + 36*k**2
Suppose -2*s - 8 = 4*l, 3*s - 2 + 5 = -3*l. Let j be (-1)/(s/30*5/(-2)). Let i(t) = t. Let r(b) = 3*b - 11. Let f(q) = j*i(q) - r(q). Differentiate f(k) wrt k.
3
Differentiate 130104*s - 64500*s - 71702*s - 2118 wrt s.
-6098
Let i be (-1)/(3*4/(-396)). Suppose 4*p - 47 = i. What is the derivative of -122*d**2 - 9 + p*d**3 - 122*d**2 + 244*d**2 wrt d?
60*d**2
Let p(k) = -k**3 - k + 9. Let z(v) = 2298*v**3 - 42*v**2 - 10*v + 122. Let x(n) = -10*p(n) + z(n). Find the third derivative of x(a) wrt a.
13848
Let h(i) = 541*i**2 - 17*i + 4188. Let f(a) = -4*a**2 - 4*a - 1. Let q(c) = 3*f(c) - h(c). Find the first derivative of q(z) wrt z.
-1106*z + 5
Let u(n) be the third derivative of 0*n + 35/6*n**3 + 15 - 3*n**2 + 41/12*n**4. What is the derivative of u(l) wrt l?
82
Let n = -42 - -46. Let x be n*(-2)/(-4) - 4 - -3. Differentiate -9*f**4 - 10*f**4 + x + 9*f**4 with respect to f.
-40*f**3
Let m be ((-90)/(-72) - (-6)/(-8))*0. Let r(v) be the second derivative of 0*v**2 - 7/2*v**3 + 27*v - 3/4*v**4 + m. Find the second derivative of r(y) wrt y.
-18
Let j(x) be the second derivative of -53*x**4/3 + 5*x**3/6 - 1601*x**2/2 + 2*x + 3763. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
4 by -2.
22
What is 5 divided by -36?
-5/36
285 divided by -57
-5
Calculate 4 divided by 22.
2/11
0 divided by 796
0
Calculate -1 divided by -22.
1/22
Calculate 244 divided by -1.
-244
Divide 77 by -3.
-77/3
What is -5 divided by 133?
-5/133
What is -445 divided by -5?
89
What is -490 divided by -1?
490
-3 divided by -263
3/263
-1 divided by 552
-1/552
Calculate -450 divided by -3.
150
Calculate 1122 divided by 6.
187
3591 divided by 4
3591/4
Calculate -142 divided by -1.
142
Calculate -10125 divided by -2025.
5
Divide -2050 by -410.
5
Divide 8973 by -3.
-2991
Divide -4872 by 3.
-1624
Calculate -194 divided by -25.
194/25
What is 0 divided by -198?
0
Calculate 327 divided by -327.
-1
Calculate 0 divided by -9.
0
Calculate -70 divided by -7.
10
Calculate -1004 divided by 2.
-502
Calculate -1 divided by -41.
1/41
Divide 1356 by -6.
-226
Calculate -703 divided by 19.
-37
Calculate 6 divided by -50.
-3/25
What is 1015 divided by -203?
-5
-594 divided by 99
-6
What is 22 divided by -5?
-22/5
71 divided by -187
-71/187
Divide 13510 by 2702.
5
Divide 119 by 3.
119/3
What is 6331 divided by -3?
-6331/3
Calculate 6174 divided by 98.
63
What is 0 divided by 2?
0
What is -259 divided by 3?
-259/3
What is 83 divided by 34?
83/34
163 divided by -46
-163/46
Calculate 618 divided by 309.
2
1 divided by -5
-1/5
Calculate -18 divided by -8.
9/4
What is 64080 divided by -4?
-16020
Calculate 51 divided by -33.
-17/11
Calculate 585 divided by -1.
-585
-138 divided by -69
2
-6302 divided by 23
-274
Divide 0 by -8.
0
Calculate -2322 divided by 3.
-774
What is -80 divided by 4?
-20
Calculate 0 divided by -14.
0
Divide -39 by 13.
-3
Divide 2 by 10.
1/5
Calculate 2384 divided by 8.
298
Calculate 45 divided by 11.
45/11
25 divided by -5
-5
-320 divided by -34
160/17
-531 divided by -177
3
Divide -537 by -10.
537/10
31564 divided by -607
-52
What is 25828 divided by 4?
6457
Calculate -3 divided by -569.
3/569
What is -1445 divided by -1?
1445
What is 2728 divided by 682?
4
Calculate 4 divided by 165.
4/165
Calculate -1488 divided by 124.
-12
510 divided by 30
17
Calculate -62 divided by 5.
-62/5
4948 divided by 2
2474
Divide -5 by 5.
-1
Divide -90 by -6.
15
Divide 7135 by -1427.
-5
What is -28 divided by 6?
-14/3
Calculate 3 divided by 28.
3/28
Calculate -8760 divided by -15.
584
Divide 218 by 6.
109/3
Divide 2124 by -708.
-3
-1 divided by -2365
1/2365
Divide -123 by 7.
-123/7
-23 divided by 14
-23/14
What is -4 divided by 278?
-2/139
-12152 divided by -3038
4
Calculate -5 divided by -433.
5/433
What is 4888 divided by 1222?
4
Divide 5 by 120.
1/24
What is -460 divided by -10?
46
-6 divided by 21
-2/7
Calculate 32 divided by -2.
-16
Divide 145 by 29.
5
3 divided by -519
-1/173
What is 50 divided by -41?
-50/41
Calculate -2 divided by -2708.
1/1354
What is -14 divided by -14?
1
-72 divided by -9
8
Divide 1414 by -2.
-707
Divide -594 by -54.
11
30 divided by -10
-3
Calculate 24776 divided by 6.
12388/3
Calculate -262 divided by -5.
262/5
Calculate 1560 divided by -65.
-24
Divide -148 by 148.
-1
What is -134 divided by -6?
67/3
Calculate 478 divided by -13.
-478/13
What is -120 divided by 36?
-10/3
Calculate -324 divided by -3.
108
Divide 420 by -6.
-70
Calculate -5967 divided by 9.
-663
Divide -392 by -4.
98
What is -486 divided by -162?
3
-135 divided by 4
-135/4
-180 divided by -30
6
Calculate 273 divided by 13.
21
What is 4254 divided by 7?
4254/7
35475 divided by 7095
5
-7650 divided by 850
-9
What is 293 divided by 1?
293
Calculate -1070 divided by -5.
214
Calculate 480 divided by 96.
5
What is -134 divided by 1?
-134
What is 4 divided by -5204?
-1/1301
Calculate -504 divided by -3.
168
Calculate -1648 divided by -4.
412
56 divided by 28
2
Divide 3380 by 5.
676
5159 divided by -1
-5159
16 divided by 152
2/19
What is 36 divided by -3?
-12
-7155 divided by -2385
3
Calculate -21420 divided by -3.
7140
Divide 12 by 37.
12/37
-83 divided by 8
-83/8
What is 171 divided by -1?
-171
-2 divided by -2
1
Calculate 4 divided by -1.
-4
What is -2 divided by 44?
-1/22
Divide 1 by 86.
1/86
83 divided by 8
83/8
-280 divided by -5
56
Divide 1095 by -3.
-365
-242 divided by 2
-121
Calculate -8 divided by -34.
4/17
Divide 5 by -25.
-1/5
-9374 divided by 4687
-2
Calculate 860 divided by 215.
4
What is -6 divided by -109?
6/109
Divide -52 by -1.
52
Divide -41 by -8.
41/8
Divide 1180 by 236.
5
Calculate 16 divided by -194.
-8/97
Calculate 858 divided by 1.
858
-455 divided by 455
-1
-59 divided by 12
-59/12
Divide -4 by -372.
1/93
What is 118 divided by -59?
-2
What is 2 divided by 3778?
1/1889
Divide 65 by 204.
65/204
Divide 106 by -13.
-106/13
Calculate 16 divided by 691.
16/691
Calculate -1679 divided by 3.
-1679/3
Calculate 890 divided by 5.
178
Calculate -6962 divided by 3.
-6962/3
Divide 32 by 391.
32/391
What is 847 divided by -1?
-847
7547 divided by -7547
-1
167 divided by 5
167/5
Calculate -43 divided by -26.
43/26
Divide -2 by 2058.
-1/1029
-26 divided by 6
-13/3
Calculate -22 divided by -9.
22/9
Divide 1080 by -15.
-72
What is 4040 divided by 10?
404
What is -2105 divided by -5?
421
Calculate -195 divided by 65.
-3
What is 5 divided by 87?
5/87
-388 divided by -5
388/5
Divide 828 by 12.
69
410 divided by -205
-2
What is -433 divided
|
{
"pile_set_name": "DM Mathematics"
}
|
f 3/2*r**4 + 0*r + 0*r**3 + n*r**2 + 1. Find the second derivative of q(g) wrt g.
36*g
Let t(k) = -881*k**2 - 2*k + 39. Let p(n) = -882*n**2 - 3*n + 28. Let v(x) = 4*p(x) - 3*t(x). What is the second derivative of v(y) wrt y?
-1770
Suppose 171*i - 152*i = 0. Let x(s) be the second derivative of 0 + i*s**2 - 2*s - 11/12*s**4 - 11/6*s**3. Find the second derivative of x(b) wrt b.
-22
Find the third derivative of 9*b**3 - 41*b**2 + 433*b**4 - 21*b**2 - 30*b**2 + 3*b**3 - 11*b**3 wrt b.
10392*b + 6
Differentiate -6*l**3 - 5 + 61*l**3 - 12*l**3 - 16 with respect to l.
129*l**2
Let i be -5 + 13/(26/24) + -2. Let y(z) be the second derivative of 1/5*z**i + 0*z**4 + 0*z**3 - 5*z + 0 + 2*z**2. What is the first derivative of y(g) wrt g?
12*g**2
Let p(d) be the first derivative of 11*d**4/12 + 5*d**3/2 + 12*d - 5. Let c(u) be the first derivative of p(u). Find the second derivative of c(b) wrt b.
22
Let d(s) = 13*s**3 - 9*s**2 - 5*s - 71. Let b(t) = 7*t**3 - 5*t**2 - 2*t - 35. Let x(l) = -5*b(l) + 2*d(l). Differentiate x(u) with respect to u.
-27*u**2 + 14*u
Let b be 0/(0 + 1 + -2). Suppose -2*r - 3 + 11 = b. What is the first derivative of 0*d**4 - 2 + 1 - 4*d**4 - d**r wrt d?
-20*d**3
Differentiate 3*z**3 + 123*z**4 - 28*z**3 - 34 + 23*z**3 with respect to z.
492*z**3 - 6*z**2
Let x(d) be the third derivative of 0*d**3 + 0*d**4 + 0*d + 11/30*d**5 + 24*d**2 + 1/30*d**6 + 0. What is the third derivative of x(m) wrt m?
24
Let r = 185 + -183. Let t(z) be the first derivative of -1 + 1/2*z**r + 2*z. Find the first derivative of t(m) wrt m.
1
Let k(a) be the third derivative of 61*a**6/120 - a**5/3 - 6*a**2 + 5. Find the third derivative of k(o) wrt o.
366
Let a(w) = -w**3 + 2*w**2 + w. Let n be a(1). Find the first derivative of 133 + 0*d**n - 3*d**2 - 149 wrt d.
-6*d
Let d(j) = 370*j**3 + j**2 - 7*j + 6. Let h be d(1). Let p be -3*4/(8/(-6)). Differentiate h*k + p - 370*k - k**4 with respect to k.
-4*k**3
Suppose 2*j - 15 = x, -3*x + 17 = 4*j + 2. Find the third derivative of -j*u**2 - 71*u**6 + u**2 + 41*u**6 wrt u.
-3600*u**3
Let d(r) = 4*r**2 + r. Let m(y) = -44*y**2 - 11*y - 5. Let p(n) = -6*d(n) - m(n). What is the second derivative of p(t) wrt t?
40
Let w(q) be the third derivative of -q**7/105 + q**5/20 + 55*q**3/6 + q**2 - 15. Find the first derivative of w(j) wrt j.
-8*j**3 + 6*j
Let t(j) = j**2 + j + 1. Let z(h) = -4*h**2 + 6*h + 29. Suppose 36*m = 40*m + 4. Let d(n) = m*z(n) + 6*t(n). Differentiate d(s) wrt s.
20*s
Let s(w) be the third derivative of -73*w**5/10 + 5*w**4 - w**3/3 + 286*w**2. What is the second derivative of s(u) wrt u?
-876
Let p = 18 - 14. Find the first derivative of 9*g**4 - 2 - 1 - g**p wrt g.
32*g**3
Let o(x) = -50*x**3 - 14*x**2 + x + 148. Let n(s) = -33*s**3 - 10*s**2 + s + 99. Let i(t) = 7*n(t) - 5*o(t). What is the first derivative of i(m) wrt m?
57*m**2 + 2
Let x(q) be the second derivative of 323*q**4/12 + 166*q**2 + 72*q - 3. Differentiate x(w) with respect to w.
646*w
Suppose 0 = 6*m - m - 0*m. Find the third derivative of m*q**6 + 33*q**2 + 12*q**6 + 4*q**6 wrt q.
1920*q**3
Let b(w) be the first derivative of -2*w**5/5 - 15*w**4 - 123*w**2/2 + 30. Find the second derivative of b(x) wrt x.
-24*x**2 - 360*x
Find the first derivative of 82*z**2 - 534 - 24*z**2 - 138 wrt z.
116*z
Let s(a) be the first derivative of -164*a**5/5 - 2*a**2 + 16*a - 184. Find the second derivative of s(l) wrt l.
-1968*l**2
Let c(k) = -k**3 - k + 1. Let q = -122 - -128. Let d(g) = 11*g**3 - 2*g**2 + 3*g - 6. Let m(z) = q*c(z) + d(z). What is the third derivative of m(a) wrt a?
30
Let w(l) be the second derivative of -23*l**6/15 - 145*l**3/6 + 77*l. Find the second derivative of w(x) wrt x.
-552*x**2
Let p(u) be the first derivative of 743*u**6/6 - 51*u**2 + u - 437. Find the second derivative of p(d) wrt d.
14860*d**3
Suppose -3*h - 2 + 8 = 0. Let k = 5 - h. Find the third derivative of -k*v**2 + 5*v**3 - 4*v**3 - v**2 + 2*v**3 wrt v.
18
Find the third derivative of -65*l**2 - 45*l**2 + 34*l**2 - 87*l**3 - 16*l**2 wrt l.
-522
Suppose -3*p - 4*b = -220, -3*p - 3*b = p - 284. Let t be 2*3/(-3) - (-13 + 9). What is the second derivative of -67*o - o**2 + p*o - o**t wrt o?
-4
Let y = -12 - -16. What is the third derivative of 28*h**2 - y*h**4 - 15*h**4 - 26*h**2 wrt h?
-456*h
Find the third derivative of -66*c + 2*c**2 + 3*c**3 - 3*c**3 + 67*c - 415*c**4 wrt c.
-9960*c
Let h(k) = 6*k - 2. Let n(w) = -6*w + 1. Suppose 0 = -2*u + 24 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the nearest to v? (a) -3/7 (b) 1/8 (c) 3
b
Let q be 2/20 - 0/1. Let m = -358/9 + 40. What is the closest to -1 in q, m, 0.2?
q
Let f = 7 - 8. Let d be 1 - f - (-6)/(-4). Let q = 0 - -4. Which is the nearest to -1? (a) d (b) q (c) -0.5
c
Let q = -69 + 45. Let g = q - -22. Let p = -1265/2919 + 2/417. What is the nearest to -2 in p, g, 1?
g
Let r be 12/28*(-2)/(-3). Let v = -6 + 33/5. Which is the closest to r? (a) v (b) -0.02 (c) -4
b
Let d = 2562/1595 + -2/319. Let k = 2 - d. Which is the nearest to -2/3? (a) 1 (b) k (c) 2
b
Let s = -20/21 + 2/3. Let f = 0.05 - 4.05. Which is the closest to s? (a) -1/4 (b) f (c) -2
a
Let d = -0.3 - 0.7. Let u be 1*(-15)/(0 + -3). Suppose 25 = -u*w - 0*w. Which is the closest to 0? (a) d (b) -3 (c) w
a
Let v = -5/2 - -2. Let o = -1/6 - 1/2. What is the closest to v in -0.5, o, 0.2?
-0.5
Let l = 283/4 - 71. What is the nearest to -6 in l, 0, 0.2?
l
Let f = 14.5 - 14. Which is the nearest to 4? (a) -1/4 (b) -3 (c) f
c
Let d = 3/208 + -35/208. Which is the nearest to -1? (a) -2 (b) d (c) -1/4
c
Let d = 0.02 + 0.08. Let q = -2.9 - d. Which is the nearest to -1? (a) 0.2 (b) q (c) 4
a
Let k = -2.17 - -2.1. Let t = k + -0.13. Which is the nearest to 1/4? (a) t (b) 0.3 (c) -2
b
Let f = -136.9 - -129. Let d = f - -8. What is the nearest to d in 0.3, 4, -4?
0.3
Let k = 8 + -4. Let i = 2.05 + -0.05. Which is the nearest to 0? (a) k (b) i (c) -0.4
c
Let k(l) = l**3 + 12*l**2 + 11*l + 1. Let m be k(-11). What is the closest to m in 1, -3, -2/9?
1
Let f = 1.21 - 3.21. What is the nearest to -1/3 in -2/7, 1/3, f?
-2/7
Let o = 0.9 - -0.1. Suppose -45 = 7*g - 4*g. Let h(z) = z + 17. Let t be h(g). Which is the closest to 1? (a) o (b) 4 (c) t
a
Let f be -2*(5/12)/(-5). Let z(w) = w**2 + w + 1. Let r be z(-2). Suppose h + 29 = 5*y, h - r*h - 2*y = -2. Which is the nearest to 0.1? (a) f (b) h (c) -1/6
a
Let z be 3/7*-2 - 0. Let r = z + 4/21. Which is the closest to -1? (a) r (b) 4 (c) 3
a
Let m = -21 + 25. Which is the closest to -1/4? (a) 5 (b) m (c) 0.1
c
Let n be 2 - (1 + 0)/1. Let w be (-7)/(-12) + n/(-3). Which is the closest to 0.1? (a) 2 (b) w (c) 4
b
Let q = 1 + -0.6. Let s be 5/((-70)/32) + 2. What is the closest to 2 in -0.4, q, s?
q
Let t = 30 - 47. Let w = t + 12. What is the closest to 0.2 in w, -6/7, 5/6?
5/6
Let u = -0.36 + 0.06. Let f(y) = y**3 - 3*y**2 - 5*y + 4. Let n be f(4). Which is the nearest to -1? (a) -0.1 (b) n (c) u
c
Let x be (-5 + 360/66)*2/5. Let n = -0.6 - -0.2. What is the nearest to x in -0.1, -1/2, n?
-0.1
Let u = -29 - -25. Which is the nearest to -1? (a) -1/3 (b) 0.3 (c) u
a
Let f = -37 + 36.5. Let m = 1165/7657 - -1/589. Which is the closest to 1? (a) m (b) -4 (c) f
a
Let h = -74 + 293/4. What is the closest to 0.1 in h, -0.4, 0.3?
0.3
Let l = 0.02 - -0.08. Which is the closest to l? (a) -3 (b) 2 (c) -0.2
c
Let i = 3.96 + 0.04. Let k = 0.6 + -0.3. Let t = 0.2 - k. What is the nearest to t in 0.3, 1, i?
0.3
Let p = -5.3 + 5. Let o = -3 - -8. Suppose -5*m + 19 = -3*v, -m + 4 = o*v - 11. What is the closest to 3 in m, p, -2/9?
m
Let u be (-3 + (-22)/(-6))*-3. Let n be (u/36)/1*-2. Which is the nearest to 2/3? (a) 2 (b) n (c) -2
b
Suppose 4*v - 28 = 76. Let r be -2 + 3 + (-30)/v. Which is the nearest to 1? (a) -0.03 (b) 5 (c) r
a
Let i = -1304/7 + 186. What is the closest to -0.1 in 2, i, -1/10?
-1/10
Let g be 34/9 - ((-12)/54 - 0). Which is the nearest to -0.2? (a) g (b) -2 (c) 8
b
Let r = 3 - 5. Let n = r + 3. Let k = -11.79 - -11.29. Which is the closest to -2? (a) n (b) k (c) -0.4
b
Let l = -41 - -41.1. Which is the closest to l? (a) 2/7 (b) -7 (c) 3
a
Let j = 58 + -55. Let v be (-4)/(-6) + 5/(-15). Which is the closest to v? (a) 0.3 (b) 0 (c) j
a
Let j = 13.7 - 14. What is the nearest to 2/7 in -0.5, 5, j?
j
Let a be (3/15)/((-8)/10). Let g be (-4 - -2)/(-2)*7. Let l be 10/g - (0 - -1). What is the closest to -1 in a, -5, l?
a
Let o = 89/7 - 13. What is the closest to 1/4 in o, -1/4, -1?
-1/4
Suppose -3*p + 48 = 12. Suppose 0*u - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
f sequence by.
1/56
Two letters picked without replacement from ggmmgujggmgumggqm. What is prob of sequence jq?
1/272
Two letters picked without replacement from fnace. What is prob of sequence ef?
1/20
What is prob of sequence mm when two letters picked without replacement from hmmahyhmmmamhmamahmm?
9/38
Four letters picked without replacement from {h: 7, f: 3}. Give prob of sequence hhhf.
1/8
Calculate prob of sequence aa when two letters picked without replacement from thaaxhoom.
1/36
Calculate prob of sequence jik when three letters picked without replacement from jebki.
1/60
Three letters picked without replacement from kkkkkkjkkj. Give prob of sequence jkk.
7/45
Calculate prob of sequence pr when two letters picked without replacement from zprrrzzpzrrp.
5/44
Three letters picked without replacement from {q: 4, z: 2, e: 1, n: 2, m: 1, p: 2}. Give prob of sequence nqp.
2/165
Calculate prob of sequence jj when two letters picked without replacement from lljbljj.
1/7
Three letters picked without replacement from {d: 1, y: 1, t: 1, g: 2, n: 1, u: 1}. Give prob of sequence gny.
1/105
Four letters picked without replacement from lqkql. What is prob of sequence llkq?
1/30
Three letters picked without replacement from fnnfffnnaflfuaffa. Give prob of sequence nfa.
2/85
Two letters picked without replacement from {o: 2, c: 6}. Give prob of sequence co.
3/14
Two letters picked without replacement from {c: 7, a: 4, j: 3, u: 1, w: 1}. Give prob of sequence uc.
7/240
What is prob of sequence ojo when three letters picked without replacement from {j: 3, o: 8}?
28/165
Calculate prob of sequence nw when two letters picked without replacement from waueuun.
1/42
Three letters picked without replacement from {k: 2, j: 2, w: 4}. What is prob of sequence wkw?
1/14
Two letters picked without replacement from gnppznzwrnww. What is prob of sequence rp?
1/66
What is prob of sequence tp when two letters picked without replacement from {v: 2, t: 3, o: 1, a: 3, p: 1}?
1/30
Calculate prob of sequence zr when two letters picked without replacement from {r: 1, b: 11, z: 5}.
5/272
Three letters picked without replacement from {a: 7, k: 11, l: 2}. Give prob of sequence kla.
77/3420
Calculate prob of sequence nas when three letters picked without replacement from caeaesaannwc.
1/165
What is prob of sequence hg when two letters picked without replacement from eeddglehoeeheehoe?
3/272
Four letters picked without replacement from {k: 1, o: 14}. Give prob of sequence okoo.
1/15
Four letters picked without replacement from {u: 1, q: 2, v: 2, j: 9}. What is prob of sequence qjjj?
6/143
Calculate prob of sequence na when two letters picked without replacement from {a: 4, t: 1, n: 1, l: 1, e: 1}.
1/14
Two letters picked without replacement from {o: 1, h: 1, u: 1, d: 1, w: 2, x: 1}. What is prob of sequence ou?
1/42
Three letters picked without replacement from fpfpppppfffppfdppd. Give prob of sequence fdd.
1/408
Three letters picked without replacement from rjrr. What is prob of sequence rrj?
1/4
Four letters picked without replacement from {r: 5, l: 7}. What is prob of sequence rrlr?
7/198
Three letters picked without replacement from {w: 15, r: 3}. Give prob of sequence wwr.
35/272
Four letters picked without replacement from hwfhfhfhwwh. Give prob of sequence wffh.
1/88
Two letters picked without replacement from {d: 7, r: 8, f: 1, v: 1}. Give prob of sequence df.
7/272
What is prob of sequence sp when two letters picked without replacement from dpddddspzp?
1/30
Two letters picked without replacement from {t: 3, h: 1, x: 3, f: 2, z: 1}. Give prob of sequence zf.
1/45
Four letters picked without replacement from dpdodpmdkddkp. What is prob of sequence okdm?
1/1430
What is prob of sequence qu when two letters picked without replacement from ubaquubaatatuuu?
1/35
Two letters picked without replacement from {p: 2, r: 7, n: 1, x: 1, b: 3}. What is prob of sequence pr?
1/13
Two letters picked without replacement from {l: 2, z: 2, e: 5}. What is prob of sequence ll?
1/36
What is prob of sequence yaaa when four letters picked without replacement from yayyyyyayaayayyy?
11/728
Two letters picked without replacement from yeiyyiiieieeeiiyiy. Give prob of sequence iy.
20/153
Two letters picked without replacement from teyrezr. What is prob of sequence yr?
1/21
Calculate prob of sequence uw when two letters picked without replacement from {w: 5, u: 2, q: 4, l: 2}.
5/78
Calculate prob of sequence hi when two letters picked without replacement from {i: 5, h: 14}.
35/171
Two letters picked without replacement from uxxuxxxuuxx. Give prob of sequence xx.
21/55
Calculate prob of sequence qqxx when four letters picked without replacement from {w: 5, x: 5, q: 2}.
1/297
What is prob of sequence nkh when three letters picked without replacement from {b: 2, h: 1, p: 1, n: 2, a: 1, k: 2}?
1/126
Two letters picked without replacement from vvvjvvvvvrvvv. What is prob of sequence vr?
11/156
Two letters picked without replacement from ynkky. Give prob of sequence kn.
1/10
Four letters picked without replacement from pzrtpktpxtxtrrxzr. What is prob of sequence rkzx?
1/2380
Two letters picked without replacement from zuzzzszuzz. Give prob of sequence zs.
7/90
Calculate prob of sequence fzlg when four letters picked without replacement from {f: 1, x: 2, g: 1, z: 1, e: 1, l: 1}.
1/840
Four letters picked without replacement from {g: 3, o: 1, b: 3, p: 2, e: 1}. What is prob of sequence opbp?
1/840
Four letters picked without replacement from {a: 2, g: 2, z: 5}. What is prob of sequence zzaz?
5/126
What is prob of sequence ap when two letters picked without replacement from {a: 1, p: 6, u: 4}?
3/55
Calculate prob of sequence jggk when four letters picked without replacement from jgjgkggggg.
1/60
Four letters picked without replacement from {l: 7}. Give prob of sequence llll.
1
Calculate prob of sequence lh when two letters picked without replacement from {h: 2, l: 4}.
4/15
What is prob of sequence nuc when three letters picked without replacement from {n: 3, c: 1, u: 3}?
3/70
What is prob of sequence afq when three letters picked without replacement from qaqffaaqq?
1/21
Calculate prob of sequence lblb when four letters picked without replacement from lbbbblbbb.
1/36
Two letters picked without replacement from xzmxxexezxxae. What is prob of sequence ez?
1/26
Three letters picked without replacement from yyttfzgyyyggttvgvtfg. Give prob of sequence tyf.
5/684
Two letters picked without replacement from dguugogmgugggdggggg. Give prob of sequence gg.
22/57
Two letters picked without replacement from {n: 2, i: 8, r: 4, w: 1}. What is prob of sequence wn?
1/105
Calculate prob of sequence qae when three letters picked without replacement from aeavvvvveqarvaqvaaaq.
7/1140
Four letters picked without replacement from zgbbhgbbmbhgb. What is prob of sequence zhmg?
1/2860
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + h*p and give j.
-1
Express -56*k**3 - 3*k**2 - 4 - 65*k**3 - k + 119*k**3 as o*k**3 + w + q*k**2 + n*k and give q.
-3
Rearrange -b**3 + 4*b**3 - 2*b**3 + (0*b + 0*b + 2*b)*(-4*b**2 + 4*b**2 + 5*b**2) to the form z*b + n + g*b**2 + r*b**3 and give r.
11
Express -6*j - j**3 - 2*j**2 + j**2 + 2*j + 3*j in the form h + n*j + t*j**3 + i*j**2 and give i.
-1
Express 18*v + 3*v**2 - 1 + 4 - 16*v in the form l*v + a + s*v**2 and give a.
3
Rearrange (-3*g - g + 3*g)*(6 + 0 - 3) + 4 + 6*g - 4 to the form z*g + s and give z.
3
Express -20*f + 20*f - f**3 + 2 - 3*f**4 as b + k*f**3 + v*f**4 + l*f + r*f**2 and give b.
2
Express -4*n**2 + 1 - 139*n**3 + 3*n - 2*n + 141*n**3 in the form o + b*n + l*n**2 + u*n**3 and give l.
-4
Rearrange 7 - 3 - 2*o + 4*o + (1 - 1 + 2)*(3*o - 2*o + o) - o + 3*o + 3*o to a + p*o and give p.
11
Rearrange (3*t - 4*t + 2*t + (2 - 1 - 3)*(-3*t + 3*t - 2*t) - 4 + t + 4)*(3*t**2 - 2*t**2 - 6*t**2) to g*t**3 + j + b*t + y*t**2 and give b.
0
Rearrange (17 - 1 + 3)*(-6 + 12*r + 6) to the form u + v*r and give v.
228
Rearrange (3 - 2 - 3)*(-1 - a + 1) + (-4*a - a + 3*a)*(-1 + 4 - 1) - 6*a + 3*a - a to the form u*a + k and give u.
-6
Express -2 + 0*u**2 + 3*u**4 - 2*u**3 + 7*u**2 - 5*u**2 - u**2 in the form w + i*u**4 + m*u**3 + y*u + t*u**2 and give w.
-2
Express 3 - 1 - 10*t**2 + t**2 + 18*t**2 as i*t + f + w*t**2 and give i.
0
Express (t - 4*t + t)*(-2*t - 2*t + 2*t) + 2*t - 2*t + 2*t**2 + 19*t**2 + 74*t - 74*t in the form a*t + c*t**2 + f and give a.
0
Express (-4*a + 2*a + 4*a)*(-5*a + 5*a + 2*a) + a**2 + 19 - 19 - a**2 - 2*a**2 + 5*a**2 in the form w + i*a**2 + v*a and give i.
7
Express -c - 4 + 6 - 3*c - 2*c as z*c + s and give s.
2
Express (2 + 2 - 3)*(-k**3 + k**3 - 3*k**4) + 4*k**4 + 0*k**4 - 3*k**4 as b*k**2 + g*k + a + i*k**3 + c*k**4 and give g.
0
Rearrange -443 + 443 - 2*v**2 to the form k + x*v + c*v**2 and give c.
-2
Rearrange (-1 - 1 + 4)*((0 + 6 + 8)*(-i + i + i) - 4 + 4 - 2*i) to l*i + w and give l.
24
Express (-p - 4*p - p)*(2 + 27 - 1) as y*p + s and give y.
-168
Rearrange 0 - 4 - 5*o**2 + 3*o**2 + 13*o**2 to the form p*o**2 + k*o + u and give u.
-4
Rearrange -8*s**2 - 5*s**2 - 333 + 330 to the form x*s**2 + m + p*s and give x.
-13
Rearrange -2*g + 2*g**3 + 0*g + 2*g - 7*g**2 to the form p + i*g**3 + b*g**2 + n*g and give i.
2
Express (-2*b - 1 + 3*b**2 + 2*b)*(6 - 1 + 1) in the form t + f*b + m*b**2 and give t.
-6
Express 90*p - 23 + 46 - 23 in the form h*p + o and give h.
90
Rearrange 4*x - 3*x - 2*x**2 + 10*x**4 - 4*x to the form v*x + n + c*x**3 + h*x**2 + k*x**4 and give k.
10
Rearrange 11 + 14*p - 19 + 11 to s*p + u and give u.
3
Express 5 - 5 - f + (2 - 3 + 2)*(-1 + 1 - 2*f) + 4*f - f - f + (3*f - f + 0*f)*(0 + 3 - 5) - 3 - f + 3 - f - 2*f - f in the form h + o*f and give o.
-10
Express (0 + 0 - 3 + (-2 - 2 + 6 + 0 - 5 + 3 + 0 + 2 - 3 + 3 - 1 - 1 + (-1 + 4 - 5)*(0 - 2 + 1))*(-29 - 25 + 57))*(5*w - w - 2*w) as n*w + u and give n.
6
Rearrange -3*i**2 - 70 + 2*i**3 - 2*i**4 + 37 + 35 + 4*i to k*i**2 + r + y*i**3 + l*i**4 + d*i and give r.
2
Express 1 - 3*l**2 - 15*l + 2 - l**4 + 17*l in the form x + g*l**4 + w*l + s*l**3 + u*l**2 and give w.
2
Rearrange 2*m + m**4 + 0*m**3 - 6*m**3 - 3*m**4 + m**3 to the form c + w*m + d*m**3 + b*m**2 + p*m**4 and give w.
2
Rearrange 17*l + 4*l**2 - 16*l - 5*l**2 - 2*l**3 + 2 - 2*l**4 to the form h*l**2 + y*l**3 + i + q*l + p*l**4 and give y.
-2
Express -9*h**3 - 3 - 11*h + 7*h + 8*h**3 as k + q*h**3 + v*h**2 + w*h and give k.
-3
Express -6 + 2*r + 0 + 0 + (4 - 2 - 4)*(2*r + 0*r + 0*r) as m*r + f and give f.
-6
Express (2 + 2 + 0)*(-4*f**4 + 13*f**4 + 7*f**4) as l*f**2 + y + c*f**4 + q*f + h*f**3 and give c.
64
Rearrange (5 + 4 - 3 + 19)*(3*y + 7*y - 2*y) to the form i + g*y and give g.
200
Rearrange (-4*w**2 + 3*w**2 + 0*w**2 + (-w - 2*w + 8*w)*(-4*w + 0*w + 7*w))*(0 + 0 - w) to the form z + m*w**2 + s*w + k*w**3 and give k.
-14
Express (2*c + c - 2*c)*((1 - 4 + 1)*(0 + 3 - 1)
|
{
"pile_set_name": "DM Mathematics"
}
|
s 1/2*21/84?
1/8
(-54)/(-189)*14/(-4)
-1
Calculate 4*(-2)/(-36) + 1092/189.
6
Calculate 1 + (7/((-7)/4) - 1).
-4
(-29)/((-87)/(-18)) + 8
2
(-12)/(-2 - -5)*7/7
-4
What is ((-4212)/3744)/((-2)/4 + 1)?
-9/4
-3*2 + (1 - -3)
-2
Calculate (-3)/(-12) - (1 - 39/84).
-2/7
Evaluate (6 - 8)/(0 + (4 - 9)).
2/5
Calculate (-2)/(-1) - (-39)/(-52).
5/4
Calculate 1 - (3 + (6 + -8 - 0)).
0
What is the value of ((-68)/136)/(-1*1/(-2))?
-1
What is the value of 3*(-4)/30*(-245)/98?
1
Evaluate (-360)/252 + (-4)/7.
-2
Evaluate 3/6*-4*5/8.
-5/4
1/((2/20)/((-11)/22))
-5
What is the value of (-572)/10582 + 522/74?
7
What is (((-6)/7)/(-3))/(216/(-504))?
-2/3
What is the value of -2 + 2/2 - -1?
0
Calculate 6/(-8) - 26/8.
-4
Calculate -8 - -6*(-8)/48.
-9
Evaluate 16/64*(2 - 1).
1/4
4309/(-1529) - (0 + (-2)/(-11))
-3
38/76 + (-6)/4
-1
Calculate (0 + 5 + -8)*-1.
3
Evaluate 49/((-91)/13) + 14.
7
What is the value of (-5)/((-25)/10) - (-48)/(-30)?
2/5
Calculate -1*4 + -43 + 41.
-6
What is the value of 180/990 - (1 + 32/(-66))?
-1/3
Calculate (-306)/810 - -4*2/(-36).
-3/5
Calculate 115/25 + (-4)/(-10).
5
Calculate (-6)/(-6) - ((-38)/10 - -5).
-1/5
(-8)/30*(-6)/4
2/5
What is the value of (((-2)/8*0)/(-4))/1?
0
What is the value of ((-85)/20 + 5)*(-5 - -9)?
3
What is the value of (9 + (0 - 5))/(-2) - -2?
0
Calculate (12/(-8))/1 - -1.
-1/2
(-1056)/(-240) - (1 - -5)
-8/5
-7 - ((-15)/(-18) + 11495/(-1482))
-1/13
Calculate (-20)/(-15)*(-3 - (-9)/6).
-2
Calculate ((-28)/42)/(7/6).
-4/7
Evaluate -8 + 260/30 + (-1)/2.
1/6
What is (2/(-2))/(5/2)?
-2/5
(-4)/(-1) - (-798)/(-210)
1/5
Calculate (-24)/(-40) - 34/(-10).
4
Calculate 21/(-84) - 2/(-8).
0
What is the value of (-5)/3*(17 - 14)?
-5
What is the value of 1 - (270/273 + 2/13)?
-1/7
What is -2 + (-1)/2*2 - 0?
-3
Calculate 4/(-14) + (-140)/(-245).
2/7
-1 + (-224)/(-147) + 2/14
2/3
(-231)/(-330) - (-2)/15
5/6
Evaluate -1 + 3 - 128/80.
2/5
-3 - -10 - (-1 - -14) - 2
-8
What is the value of (7 - 2)*(-3 - (-3 + -1))?
5
What is (((-42)/(-18) - -4) + -7)*1?
-2/3
33/(-110) - (-1)/5*3
3/10
Calculate (3/(-12)*0)/(-2).
0
What is the value of (120/(-200))/(8/(-5))?
3/8
Calculate (-3 + 1)/((-8)/(-4)).
-1
Evaluate (0 + (-18)/20)*150/360.
-3/8
Calculate (1 - -5)/(-12)*(-1)/(-2).
-1/4
What is 1/(-6)*(-12)/(-4) - -2?
3/2
(-10)/28*(-20)/25
2/7
-10 + (1 + 4 - (6 - 6))
-5
Calculate (-36)/(-198) - 42/(-11).
4
What is the value of (-53 - -45) + 50/6?
1/3
What is the value of (0 - -3) + (-40)/16?
1/2
What is (-4)/48 + (-53)/(-212)?
1/6
-6 + 5/2 + 880/224
3/7
Evaluate 190/32 - (-49)/784.
6
What is (-203)/(-42) + -3 + (2 - 3)?
5/6
((-62)/(-36) - 2) + 2/(-9)
-1/2
What is (-8)/(-6)*(-27)/24?
-3/2
Calculate 150/42 + 8/(-14) + 0.
3
What is (2 - 2)*(65/(-20))/(-13)?
0
2/(-2) - (8 - 5)
-4
Evaluate (2 + 10)/(-6*(-7)/21).
6
26/2 - (-168)/(-216)*9
6
What is 0 - -8 - (23 - 17)?
2
12/2 + (37 - 45)
-2
Calculate ((-33215)/(-598))/35 + 2/(-23).
3/2
236/28 + 0 - 15/35
8
What is the value of 37 - 24 - (-144)/(-11)?
-1/11
Evaluate 234/273*7/3.
2
Calculate (12 - 7)*9/(-15).
-3
What is the value of (-21)/5 - -6 - 2?
-1/5
What is 2 + (-4)/10 + (-126)/(-90)?
3
Evaluate (-9)/2 - (-24)/48.
-4
What is the value of -2 + (12/(-15) - -2)?
-4/5
Calculate (-30)/24 + 2 + (-28)/16.
-1
Calculate (-2)/2 + 1 - (0 + -1).
1
(59/(-177))/(17*1/(-6))
2/17
(-63)/(0 - -9) - (-40)/5
1
(2/18)/((-20)/15)*-2
1/6
What is -2 + 3 - (9 + -4 + 6)?
-10
Evaluate (2 - 5) + 12 + 4 + -8.
5
What is the value of 0/((4/2)/(4 + -5))?
0
Calculate (-88)/(-22) - (4 + -1).
1
What is the value of ((-5)/(-2))/(1/2)?
5
What is the value of 20/12*(-90)/(-25)?
6
Evaluate 3*-1*80/60.
-4
What is the value of (8 + 294/(-35))*(-1)/2?
1/5
What is (-52)/20 + -1 - (-16 - -12)?
2/5
What is the value of 5 + -2 - ((-64)/24 + 6)?
-1/3
Evaluate (1/(-6))/(-1 - (-1)/4).
2/9
Evaluate 2/(-6) - 39/(-117).
0
Calculate (-5 + 9/(-36)*-13)*4.
-7
((-2)/8)/(19/(-532))
7
1/(-2*6/84) + 8
1
Calculate -3 + -2 + (-1)/(-1).
-4
Evaluate (-3)/(-1) - (4 + 6/(-5)).
1/5
What is -3 + 1 - 2 - (13 - 13)?
-4
What is 9 + ((-1824)/300 - 3)?
-2/25
What is (-168)/126 + (3 - 14/(-6))?
4
21/33 + 20/55
1
Calculate -2 - -5 - ((0 - 2) + 5).
0
Calculate 3/(-15)*(-20)/(-10).
-2/5
Calculate ((-8)/(-24))/((-20)/(-24)).
2/5
Calculate (-1 - 2/6)*(-72)/(-816).
-2/17
What is (-6)/(-16)*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
p**(-130/3)
Simplify d**(-1/2)*d*(d*d**(4/7)*d*d)/d*((d*d**19)/d)/d*d/d**1 assuming d is positive.
d**(295/14)
Simplify (b**0)**(-5)*b*b**(-1)/b*((b*b*b**1)/b)/b assuming b is positive.
1
Simplify ((f/(f/(f**(-2/69)/f)))/f)/f**(-2/43)*(f**(-3/4))**41 assuming f is positive.
f**(-388469/11868)
Simplify t**(-11)*t*(t**(-1/3)*t*t)/t*t**(-6/13)*t**2 assuming t is positive.
t**(-304/39)
Simplify (r*r**(-6/11))**6/(r**(-3/2)/((r/((r*r**(-4/7)/r)/r*r))/r)) assuming r is positive.
r**(739/154)
Simplify o**4/o*o*o**10*(o/(o*o*o/((o**(-1/8)/o)/o)))/(o/(o/o**(-4/3))*o) assuming o is positive.
o**(245/24)
Simplify (z/z**0)**(-15/8)*(z/((z*z**(4/3))/z*z))**(2/15) assuming z is positive.
z**(-739/360)
Simplify (t*t**5)**6*(t**(-7))**(-17) assuming t is positive.
t**155
Simplify (u**(-1/5)/(u**(-3/5)*u*u))**(-8) assuming u is positive.
u**(64/5)
Simplify (w/(w/(w/(((w*w**(1/2)/w*w)/w)/w))))**(1/32)/((w**(1/27)/w)/(w*w**(3/11))) assuming w is positive.
w**(43387/19008)
Simplify t/((((t**(-10)*t)/t*t)/t)/t)*t**13/t*((((t/t**(-3)*t)/t)/t)/t)**(-48) assuming t is positive.
t**(-72)
Simplify (d*d**(-3)*d)**(-33)*d/(d**5*d)*d**(-1/15) assuming d is positive.
d**(419/15)
Simplify ((v**(-2/13)/v)/(v*v*v**7*v))/(v**(-8)*v*v**(-2)) assuming v is positive.
v**(-28/13)
Simplify ((b**(3/5)/b**(1/7))/((b/((b/(b*b**(-6)))/b*b*b))/((b**(-2/15)*b*b*b)/b)))**17 assuming b is positive.
b**(14858/105)
Simplify ((z/z**(-12/7))/z)/(z*z**11/z*z*z)*(z*z/(z/(z*((z*z**(-1/9)*z)/z*z)/z*z)))/((z**(-19)/z)/z) assuming z is positive.
z**(857/63)
Simplify (p**(1/4))**(-21)/(p*p/(p**(-2/9)/p))**(-3/8) assuming p is positive.
p**(-97/24)
Simplify (((y/(y*(y*(y/((y/((((y*y**(-2/7))/y)/y)/y))/y)*y)/y)/y))**(-4))**(-2/51))**41 assuming y is positive.
y**(984/119)
Simplify (r**(2/7)*r)/(r*r/r**6*r)*((r*r/r**(-2))/r*r)**(-22) assuming r is positive.
r**(-586/7)
Simplify l**(3/13)*l*((l**(3/14)/l)/l*l*l)/l*(l*l**(-1/30))/(l/(l**(-11)/l)*l) assuming l is positive.
l**(-17183/1365)
Simplify t**(-9)/t*t**(-23)*t**(-1)/(t*t**(1/9)) assuming t is positive.
t**(-316/9)
Simplify (k**(2/19))**(2/19)/(k*k/(k*k**(16/5))*k)**(-4/19) assuming k is positive.
k**(-436/1805)
Simplify (((c*c/((c*c/(c/((c/c**(1/21))/c))*c)/c)*c)/c)/(c*c**(-31)))**(-19/3) assuming c is positive.
c**(-12388/63)
Simplify ((x**(-1/7))**(-30))**40 assuming x is positive.
x**(1200/7)
Simplify l/((l*l**(-6))/l)*l*l**(-13)*l**0/l**4 assuming l is positive.
l**(-9)
Simplify (o/(o/(o**(-2/9)*o)))/o*o*o**(-21)*(o/(o/o**(-3/23))*o)/(o/(o/(o*o*o/(o/(o*o**7))))) assuming o is positive.
o**(-6076/207)
Simplify (x*x**(-8/5)/x*x*x*x)**50/((x/(x*x**(1/9)*x*x))/(x/(x/x**(-2/39)))) assuming x is positive.
x**(8431/117)
Simplify (c*c**(-18)*c)/(c/(c/c**(-1/2)))*(c/(c*c*c**(4/3)))**(-6/23) assuming c is positive.
c**(-685/46)
Simplify w**(-1/7)*w*w**(-3/7)*(w**1/w)**(-45) assuming w is positive.
w**(3/7)
Simplify ((r*r/(r*r**(-19)*r))/r*r/(r/(r*(r*r/(r*r*(r/(r*r**14*r))/r))/r*r)))**(-34) assuming r is positive.
r**(-1190)
Simplify ((n/(n**(2/21)/n))/n)**(-6/19)*((n**(3/14)/n)/n)**(-6/7) assuming n is positive.
n**(61/49)
Simplify (b*b**(5/7)*b**6)/(b/(b/b**(8/5))*(b*b/b**(3/10))/b*b) assuming b is positive.
b**(309/70)
Simplify (((s/(s/(s*s**(-8/3))))/s)/s)**(-2/101)/(s*s/(((s*(s/((s*s**(-6/11))/s)*s)/s)/s*s)/s)*s*s**(-4/3)) assuming s is positive.
s**(-54/1111)
Simplify ((d**(2/3))**(-44)/(d*d/d**6*d/(d/(d/(d*d**9))*d)))**(-12/11) assuming d is positive.
d**(184/11)
Simplify (b**(-1/6)*b**4*b*b**(2/15)*b*b*b**(-1/13))**(1/4) assuming b is positive.
b**(2687/1560)
Simplify q/(q*q**(-9)*q)*q*q**(3/8)*(q**(-2/3))**(-20/13) assuming q is positive.
q**(3245/312)
Simplify (u/(u/(u*u**17*u*u*u)))/(u*u**7*u)*((u/u**(-1/9))/u)**41 assuming u is positive.
u**(149/9)
Simplify (b*b**(1/14))**(-16/5)*((b**(-18)*b*b)/b)/b*b*b**(-6/17) assuming b is positive.
b**(-2473/119)
Simplify p**12*p*p**4*p/(p**3*p)*p*p*p**1*p*p*p assuming p is positive.
p**20
Simplify (h/((h/(h*h**(-1)*h))/h))**(23/5)/(h**(-2/59)/(h*h/(h*h/h**12))) assuming h is positive.
h**(6264/295)
Simplify ((j**(-13)/j)/j**(-12/7))/((j*j/j**(-8))/j**4) assuming j is positive.
j**(-128/7)
Simplify (y/((y**(-14)*y)/y))**37/(y/y**20*y**(-28)) assuming y is positive.
y**602
Simplify ((((a/(a*a**(-1/4)/a))/a)/a*a)/a*a)**46/(a**(-3)/a)**(-2/25) assuming a is positive.
a**(559/50)
Simplify ((l/(l/(l/(l*(l**(-2)/l)/l))))/l*(l**(-3/4)*l)/l*
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the greatest common divisor of 10 and 190.
10
Calculate the greatest common divisor of 135 and 75.
15
Calculate the highest common factor of 144 and 27.
9
Calculate the greatest common factor of 458 and 3435.
229
What is the highest common divisor of 1344 and 240?
48
Calculate the highest common divisor of 74 and 1998.
74
What is the highest common divisor of 1932 and 84?
84
What is the greatest common factor of 2925 and 1125?
225
What is the greatest common factor of 8 and 1548?
4
What is the highest common divisor of 675 and 7560?
135
What is the greatest common divisor of 15 and 225?
15
What is the greatest common factor of 572 and 396?
44
What is the greatest common factor of 204 and 8?
4
Calculate the greatest common factor of 8560 and 32.
16
Calculate the greatest common divisor of 20 and 4220.
20
Calculate the highest common divisor of 387 and 43.
43
What is the highest common divisor of 34 and 782?
34
Calculate the highest common factor of 3476 and 2844.
316
Calculate the greatest common divisor of 2059 and 29.
29
What is the greatest common factor of 15 and 10?
5
What is the greatest common factor of 627 and 5073?
57
What is the highest common factor of 4697 and 22?
11
What is the highest common divisor of 4 and 302?
2
What is the greatest common divisor of 726 and 198?
66
Calculate the greatest common factor of 20 and 1010.
10
Calculate the greatest common divisor of 72 and 189.
9
What is the greatest common factor of 304 and 16?
16
What is the greatest common divisor of 88 and 80?
8
Calculate the greatest common factor of 15 and 57.
3
Calculate the greatest common factor of 176 and 368.
16
Calculate the greatest common factor of 9 and 45.
9
Calculate the highest common divisor of 70 and 770.
70
What is the greatest common factor of 1 and 8?
1
Calculate the greatest common divisor of 3630 and 120.
30
What is the greatest common factor of 27 and 2943?
27
What is the highest common divisor of 3175 and 25?
25
What is the greatest common factor of 2 and 36?
2
What is the highest common factor of 70 and 1340?
10
Calculate the highest common divisor of 49 and 574.
7
What is the greatest common factor of 43 and 989?
43
What is the greatest common factor of 519 and 32524?
173
Calculate the highest common divisor of 172 and 12.
4
What is the greatest common divisor of 85 and 35?
5
Calculate the greatest common factor of 42 and 609.
21
What is the highest common divisor of 13244 and 43?
43
Calculate the highest common factor of 19 and 475.
19
What is the highest common divisor of 3490 and 20?
10
Calculate the greatest common divisor of 9864 and 144.
72
Calculate the greatest common divisor of 154 and 374.
22
What is the highest common factor of 1268 and 8?
4
What is the highest common divisor of 10783 and 82?
41
Calculate the greatest common divisor of 47 and 2303.
47
Calculate the greatest common divisor of 6336 and 99.
99
Calculate the greatest common divisor of 200 and 1100.
100
Calculate the greatest common factor of 99 and 11.
11
What is the greatest common divisor of 33 and 1243?
11
Calculate the greatest common factor of 347 and 7981.
347
Calculate the highest common divisor of 1972 and 1292.
68
Calculate the highest common divisor of 18 and 1620.
18
What is the highest common factor of 6 and 3?
3
What is the highest common factor of 117 and 13?
13
Calculate the highest common divisor of 37 and 57424.
37
What is the highest common divisor of 1506 and 6?
6
What is the greatest common factor of 429 and 1144?
143
What is the greatest common factor of 235 and 282?
47
What is the greatest common divisor of 61 and 16409?
61
What is the greatest common factor of 24 and 1704?
24
What is the highest common divisor of 1264 and 816?
16
Calculate the greatest common divisor of 5 and 35.
5
What is the greatest common divisor of 4599 and 876?
219
Calculate the greatest common divisor of 238 and 294.
14
Calculate the greatest common factor of 168 and 4620.
84
Calculate the greatest common divisor of 320 and 1520.
80
What is the greatest common divisor of 8 and 2168?
8
Calculate the highest common divisor of 6 and 32.
2
Calculate the highest common divisor of 38 and 209.
19
Calculate the highest common factor of 26 and 416.
26
What is the greatest common factor of 22398 and 6?
6
What is the highest common factor of 8 and 18?
2
Calculate the highest common divisor of 16 and 1424.
16
What is the highest common factor of 272 and 476?
68
What is the greatest common factor of 592 and 13912?
296
What is the greatest common factor of 24 and 16512?
24
What is the greatest common factor of 116 and 332?
4
What is the highest common divisor of 41 and 7093?
41
What is the highest common factor of 120 and 5?
5
Calculate the highest common factor of 27 and 27.
27
Calculate the greatest common divisor of 3068 and 354.
118
Calculate the highest common factor of 2256 and 12.
12
Calculate the highest common divisor of 18 and 18.
18
Calculate the highest common divisor of 12 and 3228.
12
What is the greatest common divisor of 1070 and 2782?
214
What is the highest common factor of 84 and 189?
21
Calculate the greatest common factor of 128 and 32.
32
What is the highest common divisor of 4524 and 87?
87
Calculate the highest common factor of 60 and 138.
6
Calculate the highest common divisor of 26 and 65.
13
What is the greatest common divisor of 12 and 12?
12
Calculate the greatest common divisor of 211 and 18990.
211
What is the highest common factor of 1207 and 2627?
71
Calculate the greatest common factor of 385 and 165.
55
Calculate the greatest common factor of 13 and 325.
13
What is the highest common factor of 14 and 19530?
14
Calculate the greatest common divisor of 5 and 1300.
5
Calculate the greatest common factor of 2728 and 496.
248
What is the highest common divisor of 116 and 87?
29
Calculate the greatest common divisor of 3125 and 25.
25
What is the greatest common divisor of 11134 and 76?
38
Calculate the greatest common divisor of 2710 and 10.
10
Calculate the greatest common factor of 261 and 87.
87
What is the highest common divisor of 18 and 1314?
18
Calculate the greatest common factor of 32 and 612.
4
What is the highest common factor of 6000 and 192?
48
Calculate the highest common divisor of 60 and 9820.
20
What is the greatest common factor of 3415 and 5?
5
What is the greatest common divisor of 913 and 143?
11
What is the highest common factor of 12 and 384?
12
Calculate the highest common divisor of 4579 and 76.
19
Calculate the greatest common divisor of 110 and 50.
10
What is the greatest common factor of 292 and 1095?
73
What is the greatest common divisor of 143 and 247?
13
Calculate the greatest common divisor of 76 and 2812.
76
Calculate the highest common divisor of 378 and 4347.
189
Calculate the greatest common divisor of 17 and 697.
17
What is the highest common factor of 13 and 247?
13
Calculate the highest common factor of 27 and 576.
9
Calculate the greatest common factor of 10 and 104.
2
Calculate the greatest common factor of 10 and 905.
5
What is the greatest common factor of 148 and 14356?
148
What is the highest common factor of 1404 and 1547?
13
Calculate the greatest common divisor of 7 and 35.
7
What is the highest common factor of 3900 and 84?
12
What is the greatest common factor of 44 and 14?
2
What is the highest common factor of 108 and 2424?
12
Calculate the highest common factor of 69 and 276.
69
What is the highest common factor of 812 and 42?
14
What is the highest common divisor of 432 and 1584?
144
Calculate the greatest common divisor of 115 and 23.
23
What is the highest common factor of 84 and 1596?
84
Calculate the greatest common factor of 2544 and 159.
159
Calculate the greatest common divisor of 13298 and 218.
218
What is the greatest common factor of 8383 and 303?
101
What is the highest common divisor of 5 and 40?
5
What is the highest common divisor of 12 and 1524?
12
Calculate the highest common divisor of 790 and 5
|
{
"pile_set_name": "DM Mathematics"
}
|
0000
Let a = 1202.4529 + -1149.361. Let l = a - 52.81. Round l to one decimal place.
0.3
Let v(r) = 196 + 134500000*r**3 + 5*r**2 - 5*r - r**2 - 195. Let b be v(1). Round b to the nearest one million.
135000000
Let d = -10.5 - 157.94. What is d rounded to the nearest 10?
-170
Let p be 0*((-10)/15)/2 + 5. Suppose -5*c = -p*b + 26550000, 5310000 = 5*c - 6*c - 5*b. What is c rounded to the nearest one hundred thousand?
-5300000
Let f = -202 + 381. Let c = 174.1 - f. Round c to 0 decimal places.
-5
Suppose 10*r + 7*r - 14221820 = 103*r. What is r rounded to the nearest 1000?
-165000
Suppose p - 2*i - 13264 = 0, 59*p + 5*i + 26527 = 61*p. Round p to the nearest 100.
13300
Let d(u) = -10*u**3 - 20*u**2 - 25*u - 1. Let p be d(-14). Suppose 3*h = -p - 89831. Round h to the nearest 1000.
-38000
Let q = 72 - 68. Let h = q - 4.25. Let a = h - -0.2489. What is a rounded to 3 dps?
-0.001
Let h = -25452193 + 60292193. Round h to the nearest one million.
35000000
Let t = 519 - 517. Suppose s = t*q - 4*s + 6632015, -13263994 = 4*q + 2*s. Round q to the nearest 100000.
-3300000
Let y(m) = 234236*m**2 + 9*m + 3. Let a be y(-3). Round a to the nearest one hundred thousand.
2100000
Let f(l) = 332*l**2 - 9*l + 4. Let c be f(4). Suppose -c = -10*r + 4*r. Round r to the nearest 100.
900
Let l = -375 + 374.759. Let j = 1.177 + l. Round j to one dp.
0.9
Let u = 172.21 - 190.045. Round u to the nearest integer.
-18
Let h = -5.7 - 0.8. Let t = h - 0.5. Let c = -6.985 - t. Round c to 2 dps.
0.02
Let m = -112.1 + 51.1. Let d = m - -60.8992. What is d rounded to three dps?
-0.101
Let h = 108 + -5. Let g = h - 101.766. Round g to one decimal place.
1.2
Let c = 296.48 + -296.47983369. Round c to six dps.
0.000166
Let t = -387 + 387.000008324. Round t to six dps.
0.000008
Let f = -0.5578887 - -0.56075. Round f to 5 decimal places.
0.00286
Let z = 65 + -93. Let p = z + 28.08. Let f = -0.184 + p. What is f rounded to two dps?
-0.1
Let b = 115.85 - 115.880005. Let a = -1.03 - -1. Let c = b - a. Round c to 5 decimal places.
-0.00001
Let n = 0.146 + 0.006. Let a = 12.052 - n. Let y = -11.89953 + a. What is y rounded to 4 dps?
0.0005
Let t(y) = -y. Let r(v) = -6*v + 13. Let a(s) = -2*r(s) + 2*t(s). Let i be (-1)/(248/(-186) + (-62)/(-42)). Let m be a(i). What is m rounded to the nearest ten?
-100
Let a = -204.1 + 204.099965648. What is a rounded to 7 dps?
-0.0000344
Let j be 15*(15018/(-18) + 9 - -2). Round j to the nearest ten thousand.
-10000
Let l = 6759.1847 - -1336.8058. Let n = -8089 + l. Let w = n - 7. What is w rounded to 3 dps?
-0.01
Let y = 88229 - 88228.9999942611. What is y rounded to 7 decimal places?
0.0000057
Let p = -3175426532.95522888 - -3175426418. Let l = 0.04774112 - p. Let r = -115 + l. What is r rounded to 4 dps?
0.003
Suppose -4*i - 3420 = -3*q + 51239, 3*q + 21 = 0. Round i to the nearest ten thousand.
-10000
Let n be -20 - 24330880/5 - (-8)/(-2). Round n to the nearest 100000.
-4900000
Let p = 7967.8 - 7967.26601. What is p rounded to 1 dp?
0.5
Let o = -11.9537656 + 12.0156. Let v = 73.0527344 - o. Let t = v + -73. Round t to three dps.
-0.009
Let h = -10104 + 10103.9933521. Let g = -0.0067 - h. What is g rounded to 5 decimal places?
-0.00005
Let c = -136271.192 + 135763. Let h = -511 - c. Round h to one decimal place.
-2.8
Let n = 69311.17 + -68999. Round n to the nearest ten.
310
Let i = -3610 + 10419. Let d(o) = -8190*o**2 - o. Let h be d(1). Let k = h - i. Round k to the nearest 10000.
-20000
Let o = 0.335 - 151.335. Let x = -196.5 - o. What is x rounded to zero decimal places?
-46
Let k = 0.348 + 17.352. Let f = 17 - k. Let m = f + -0.17. Round m to one dp.
-0.9
Let m(z) = 4231*z + 61. Let r(c) = 8461*c + 123. Let n(y) = 7*m(y) - 4*r(y). Let f be n(5). Round f to the nearest one thousand.
-21000
Suppose -x - 4*g = 5 + 7, 0 = x + g + 24. Let o be 1 + 149584/x - (-8)/28. Let c = o - -351. Round c to the nearest one thousand.
-5000
Let i = 13.6 - 122.6. Let v = -306.66328687 + 197.6632856. Let w = v - i. Round w to 7 dps.
-0.0000013
Let b = -120971321.9 - -6303186.9. Let f = -114668204.0000114 - b. Let t = f - -69. What is t rounded to 6 dps?
-0.000011
Let p = -10218.23324 - -10218. Let m = 0.239 + p. What is m rounded to four dps?
0.0058
Let t = 724.29982 - 724.3. What is t rounded to three dps?
0
Let n = -3549.0001257 + 3549. What is n rounded to 4 dps?
-0.0001
Let s(h) = h - 2. Let i be s(6). Suppose i*v - 5*u = -43625, 4*v - 13*u + 14*u = -43643. Round v to the nearest one thousand.
-11000
Let g = 1366.3999993269 - 1366.4. What is g rounded to 7 decimal places?
-0.0000007
Let n = -632 - -632.0896. Let r = 0.089595634 - n. What is r rounded to 6 dps?
-0.000004
Let b(c) = -15*c**3 - c**2 - 2*c. Let i be b(-1). Suppose 4*d - i = -0. Suppose d*u + 5941456 = 20741456. Round u to the nearest 1000000.
4000000
Let u be (-2 - 62488/6)*(-19296)/12. Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
2, h: 4, z: 2, y: 1, u: 3}.
4/165
Four letters picked without replacement from tjqns. What is prob of picking 1 t, 1 s, 1 q, and 1 j?
1/5
What is prob of picking 1 o and 1 j when two letters picked without replacement from vkcjojcs?
1/14
Three letters picked without replacement from saaqqassqsqcq. What is prob of picking 1 a and 2 s?
9/143
Two letters picked without replacement from oooootoo. Give prob of picking 1 t and 1 o.
1/4
What is prob of picking 1 y and 1 p when two letters picked without replacement from swygp?
1/10
What is prob of picking 1 d, 1 q, and 1 g when three letters picked without replacement from qgguqd?
1/5
What is prob of picking 4 q when four letters picked without replacement from {y: 6, q: 13}?
715/3876
What is prob of picking 2 i and 2 o when four letters picked without replacement from {i: 3, o: 15}?
7/68
Calculate prob of picking 3 s and 1 c when four letters picked without replacement from {s: 7, c: 9}.
9/52
Four letters picked without replacement from llkkkk. What is prob of picking 4 k?
1/15
Four letters picked without replacement from yyydyddy. Give prob of picking 3 d and 1 y.
1/14
Four letters picked without replacement from {b: 4, t: 16}. What is prob of picking 4 t?
364/969
Two letters picked without replacement from {r: 1, j: 2, z: 3, o: 8, x: 4, s: 2}. Give prob of picking 1 s and 1 z.
3/95
Calculate prob of picking 3 f and 1 n when four letters picked without replacement from fnfgnngnnfff.
10/99
Four letters picked without replacement from iqqiqqqiqqq. Give prob of picking 4 q.
7/33
Four letters picked without replacement from {u: 1, o: 6, m: 10}. What is prob of picking 3 o and 1 m?
10/119
Calculate prob of picking 3 r when three letters picked without replacement from rrrxarrarrrararxaa.
5/34
Calculate prob of picking 2 x when two letters picked without replacement from xxvxvxx.
10/21
Two letters picked without replacement from {o: 4, s: 1, x: 3, h: 2}. Give prob of picking 1 s and 1 x.
1/15
Two letters picked without replacement from akppapcgp. Give prob of picking 2 k.
0
Four letters picked without replacement from {e: 4, a: 7, i: 3}. Give prob of picking 3 e and 1 i.
12/1001
Two letters picked without replacement from {o: 9, z: 3, s: 1, k: 6}. What is prob of picking 1 k and 1 z?
2/19
Four letters picked without replacement from {h: 2, b: 5, g: 5}. What is prob of picking 2 h and 2 b?
2/99
Three letters picked without replacement from {g: 9, r: 5, n: 2}. What is prob of picking 1 n and 2 g?
9/70
Three letters picked without replacement from {v: 2, n: 12, e: 1, w: 2, d: 1}. What is prob of picking 1 v, 1 e, and 1 w?
1/204
Calculate prob of picking 3 r and 1 s when four letters picked without replacement from srrsooorossoo.
4/715
Three letters picked without replacement from {n: 1, r: 1, l: 1, c: 2, q: 1, d: 1}. What is prob of picking 1 n, 1 d, and 1 c?
2/35
What is prob of picking 1 f and 1 s when two letters picked without replacement from zzfjjssy?
1/14
What is prob of picking 1 g and 1 n when two letters picked without replacement from otndnootogtdttotttd?
2/171
Two letters picked without replacement from {e: 1, r: 1, j: 1, q: 1, y: 1, u: 2}. What is prob of picking 2 r?
0
Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {e: 9, q: 3, c: 4}.
1/10
Three letters picked without replacement from {b: 2, n: 1, i: 1, p: 4, a: 1}. What is prob of picking 2 p and 1 n?
1/14
Three letters picked without replacement from {c: 1, y: 3, e: 1, o: 2}. What is prob of picking 2 y and 1 c?
3/35
Calculate prob of picking 2 x when two letters picked without replacement from {h: 3, s: 3, g: 2, l: 1, x: 7, y: 3}.
7/57
Calculate prob of picking 2 r when two letters picked without replacement from cyrcccrcrirrriricr.
28/153
Three letters picked without replacement from iciiciciiciiiiiiii. What is prob of picking 3 c?
1/204
Calculate prob of picking 1 k and 2 s when three letters picked without replacement from {v: 1, c: 2, k: 4, s: 4, w: 3}.
6/91
What is prob of picking 2 i when two letters picked without replacement from {i: 2, m: 4, l: 6, s: 1}?
1/78
What is prob of picking 1 w and 1 q when two letters picked without replacement from {z: 1, w: 1, q: 5, b: 1, r: 3, v: 1}?
5/66
Two letters picked without replacement from khkzczxddkxkdhzh. Give prob of picking 1 h and 1 z.
3/40
What is prob of picking 1 c and 1 b when two letters picked without replacement from cmbaqqq?
1/21
What is prob of picking 3 n when three letters picked without replacement from nnrranarnannnr?
5/52
Four letters picked without replacement from {q: 1, c: 2, w: 1, i: 4, p: 5, y: 2}. Give prob of picking 1 c, 1 w, and 2 i.
4/455
Two letters picked without replacement from {h: 6, e: 2}. Give prob of picking 1 h and 1 e.
3/7
Four letters picked without replacement from ttttmtm. What is prob of picking 3 t and 1 m?
4/7
Four letters picked without replacement from {n: 7, u: 6}. Give prob of picking 3 n and 1 u.
42/143
Two letters picked without replacement from {a: 1, y: 4, q: 1, o: 1, x: 6}. What is prob of picking 1 a and 1 x?
1/13
Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, a: 4, u: 1}.
3/28
Three letters picked without replacement from wkffkwkkkkfkkkkkk. Give prob of picking 1 w and 2 k.
33/170
What is prob of picking 1 l, 1 c, and 2 p when four letters picked without replacement from lhcpp?
1/5
Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.
1
Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {n: 1, m: 3, u: 3, r: 1, o: 3, v: 7}.
1/51
What is prob of picking 1 t, 1 m, and 1 u when three letters picked without replacement from ttbttmttumttmmtttmtt?
13/228
What is prob of picking 1 q and 1 w when two letters picked without replacement from qhwhh?
1/10
Calculate prob of picking 1 h and 1 y when two letters picked without replacement from wkwhyhwhhhwyhwhuh.
2/17
Two letters picked without replacement from sssssszssszs. Give prob of picking 1 z and 1 s.
10/33
Three letters picked without replacement from {o: 2, h: 3, z: 2, n: 2}. Give prob of picking 1 h and 2 z.
1/28
Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {o: 2, s: 2, e: 1}.
1/10
Calculate prob of picking 2 j when two letters picked without replacement from jjjhhjahaaa.
6/55
What is prob of picking 1 d and 1 l when two letters picked without replacement from mtlltddultf?
6/55
What is prob of picking 1 r and 1 y when two letters picked without replacement from {w: 2, m: 1, e: 6, y: 2, r: 1}?
1/33
|
{
"pile_set_name": "DM Mathematics"
}
|
-19*w
Collect the terms in 649 - 221 - 6*v**2 - 214 - 214.
-6*v**2
Collect the terms in 157*f**3 + 41*f**3 - 78*f**3 + 124*f**3.
244*f**3
Collect the terms in -7*q + 4*q - 4*q + 6*q - 10*q.
-11*q
Collect the terms in -4 + 1542*x**2 - 773*x**2 + 4 - 770*x**2.
-x**2
Collect the terms in -29 + 6*f + 29 - 9*f.
-3*f
Collect the terms in -41*u - 4*u + 43*u.
-2*u
Collect the terms in y**3 + 132*y**3 + 797*y**3.
930*y**3
Collect the terms in 24*u + 9*u + 11*u - 13*u.
31*u
Collect the terms in -3*l**2 - 5*l**2 - 31*l**2 + l**2.
-38*l**2
Collect the terms in 9 - 4 - 5 - 10*t.
-10*t
Collect the terms in -33*f + f**2 - 5*f**2 - 5*f - 3*f.
-4*f**2 - 41*f
Collect the terms in 7 + 440*h**2 - 7.
440*h**2
Collect the terms in 498*c**3 - 496*c**3 + 2*c**2 - 2*c**2.
2*c**3
Collect the terms in 174*x**2 - 40*x**2 + 83*x**2.
217*x**2
Collect the terms in -64*y**3 + 10*y**3 + 26*y**3 + 27*y**3.
-y**3
Collect the terms in 15*z - 9*z - 4*z.
2*z
Collect the terms in 5 - 5 + 7*r - 8*r.
-r
Collect the terms in 3 - u - 2 - 5*u.
-6*u + 1
Collect the terms in -426637 + u**2 + 426637.
u**2
Collect the terms in -129*p**2 + 110*p**2 - 2 + 2.
-19*p**2
Collect the terms in -164*o - 461*o + 62*o.
-563*o
Collect the terms in 7*a**2 - 12*a**2 - 2969 + 2969.
-5*a**2
Collect the terms in -3*b + b + 3*b.
b
Collect the terms in -4*y - y + 0*y + 4*y.
-y
Collect the terms in 141 - 89*k - 141.
-89*k
Collect the terms in -72*o**2 - 2 + 1 + 3 - 38*o**2.
-110*o**2 + 2
Collect the terms in 27*i**2 - 10*i**2 - 6*i**2 - 3*i**2 - 9*i**2.
-i**2
Collect the terms in 13*t**3 - 2*t**3 + 2*t**3 - 3*t**3 - 6*t**3.
4*t**3
Collect the terms in 6*q - 51 + 51.
6*q
Collect the terms in 1 - 1 - 8*p + 1.
-8*p + 1
Collect the terms in 15 + 15*c + 9 - 24.
15*c
Collect the terms in -13*b + 3*b + 5*b.
-5*b
Collect the terms in 6*k - 4*k + 0*k - 312.
2*k - 312
Collect the terms in -8*p**3 - 4*p**3 + 66*p**3.
54*p**3
Collect the terms in 77*p - 159*p + 80*p.
-2*p
Collect the terms in 0*w**2 - 13*w**2 + 7*w**2 - 17*w**2.
-23*w**2
Collect the terms in 2*z - 7*z + 5*z - 3*z**3.
-3*z**3
Collect the terms in -5 + 5 - 13*j + 9*j.
-4*j
Collect the terms in 3625*z + 3633*z - 10892*z - 2*z**3 + 3634*z.
-2*z**3
Collect the terms in -1 + 0*j**3 - 6*j**3 + 1.
-6*j**3
Collect the terms in 1 - 224*u**2 + 257*u**2 - 1.
33*u**2
Collect the terms in -270 - 2*k + 270.
-2*k
Collect the terms in -3*q - 745 + 248 + 245 + 252.
-3*q
Collect the terms in -4*x + 15*x + 5*x.
16*x
Collect the terms in -24*n - 14*n - 237 + 231.
-38*n - 6
Collect the terms in -199*n**3 + 133*n**3 - 225*n**3 - 117*n**3.
-408*n**3
Collect the terms in 5*t - 11*t - 16*t - 9*t.
-31*t
Collect the terms in 32*t**2 - 18*t**2 - 13*t**2.
t**2
Collect the terms in 395*c - 395*c + 2*c**2.
2*c**2
Collect the terms in -3 - 1172*g + 3.
-1172*g
Collect the terms in 12 + 6*l - 12.
6*l
Collect the terms in -897 + 897 + 11*y.
11*y
Collect the terms in -48*a**2 + 48*a**2 + 3*a**3 + 40*a - a**3.
2*a**3 + 40*a
Collect the terms in -n**3 - 48 + 94 - 46.
-n**3
Collect the terms in -7*l - l + 9*l + 19 - 19.
l
Collect the terms in 717*h**2 + 3 - 723*h**2 - 3.
-6*h**2
Collect the terms in 2 - 368*u**3 - 2 + 372*u**3 + 0.
4*u**3
Collect the terms in n + 6*n - 2*n**2 + 7*n.
-2*n**2 + 14*n
Collect the terms in 169*y - 81*y + 101*y.
189*y
Collect the terms in -10*t**3 - 5*t**3 - 4*t**3 + 17*t**3.
-2*t**3
Collect the terms in 0*t + 151*t**3 - t + t.
151*t**3
Collect the terms in -4*n**2 + 18*n**2 - 6*n**2 + 6*n**2 - 6*n**2.
8*n**2
Collect the terms in -595*h**2 + 998*h**2 + 2210*h**2.
2613*h**2
Collect the terms in 2*x + 3*x + 3*x - 7*x - 3*x.
-2*x
Collect the terms in -3*o**3 + o**3 + 2 - 2.
-2*o**3
Collect the terms in -201*j + 2 - 2 - 442*j.
-643*j
Collect the terms in 52*n**2 - 9*n + 0*n - 51*n**2.
n**2 - 9*n
Collect the terms in -w - 748 + 1479 - 731.
-w
Collect the terms in -14*h - 5*h - 5*h + 19*h.
-5*h
Collect the terms in 37*r - 93*r + 64*r.
8*r
Collect the terms in 22*n**3 - 66*n**3 + 16*n**3 + 11*n**3 + 20*n**3.
3*n**3
Collect the terms in 0*x**3 + 4 - 4 - 3*x**3.
-3*x**3
Collect the terms in -813*s + 11*s**2 - 9*s**2 + 813*s.
2*s**2
Collect the terms in 3*p**2 - p**2 - 11*p**2.
-9*p**2
Collect the terms in -1063*d**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
t b(p) = -p**2 - p + 3. Let g be b(4). Let x = g - -29. Let h = 16 - x. Calculate the least common multiple of h and 2.
4
Let k = 1231 - 951. What is the least common multiple of 35 and k?
280
Suppose -5*w + 10*w - 55 = 0. Suppose -3*i = -16 + 4. What is the smallest common multiple of i and w?
44
Let f be 6/(-30) - 128656/7170. Let l = f - 11/478. Calculate the common denominator of (-4)/(-32) + 1/(-4) and l.
24
Suppose -2*l = k - 14, -40 = -2*k - l - 0*l. Calculate the lowest common multiple of (-4)/(-1)*-21*-1 and k.
924
Suppose p - 31 + 10 = -5*i, i = -5*p + 9. What is the least common multiple of 2 and i?
4
Let x be -12*1/2*-2. Let m = x + -14. Let i = 2 - m. Calculate the least common multiple of 8 and i.
8
Let t(a) = -a**3 + 6*a**2 - 4*a + 4. Let j(r) = -r**2 + 4*r + 6. Let o be j(4). Let w(m) = -m + 16. What is the smallest common multiple of w(o) and t(4)?
20
Calculate the common denominator of -29/147 and ((-2)/(-36))/(252/(-621)).
1176
Let c be ((-20)/15)/((-2)/3). Suppose -16 = -c*i - 4. Let n = i - -6. What is the smallest common multiple of 2 and n?
12
Let m(g) = 22*g + 64. Let r(f) = -7*f - 21. Let z(u) = 2*m(u) + 7*r(u). What is the lowest common multiple of z(-5) and 88?
264
Let p = -52/25 + 691/200. Let h = 47361/7520 - -3/1504. Find the common denominator of h and p.
40
Let q(g) = -9*g + 2. Let r be q(2). Calculate the common denominator of 2/4 + r/(-10) and 1/1*97/(-4)*2.
10
Find the common denominator of -37/84 and 770/144 + (2 - 26 - -18).
504
Let d be ((-1491)/6 - -3) + 4. Let u = d - -1719/7. Find the common denominator of 33/26 and u.
182
Let a = -6135/16 + 384. Let g = -38020072/95 - -400206. Let h = 31/38 - g. What is the common denominator of h and a?
80
Let a(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c - 1. Let n be a(6). Let b = -2 + n. What is the smallest common multiple of 5 and b?
40
Find the common denominator of -13/12 and (-22)/((-55)/5) - 417/154.
924
Let v(s) = s - 12. Let d(l) be the second derivative of l**3/6 - 6*l**2 - 2*l. Let x(t) = 7*d(t) - 6*v(t). What is the lowest common multiple of 18 and x(16)?
36
Suppose 4*l + 2*k = 6*k + 72, -90 = -5*l + 2*k. Suppose -2 = 3*s - 8. Suppose 0*v - s*v = -12. Calculate the smallest common multiple of l and v.
18
Let c(q) = 65*q - 421. What is the smallest common multiple of c(8) and 99?
99
Let a(d) = 3*d**2 - 2*d. Let s be a(-2). Suppose 5*c - s = 4*c. Suppose -m = -q - c, -39 = -m - 2*q - 11. What is the lowest common multiple of m and 2?
20
Let r = 4/1295 - -145028/3885. Let c = r + -263/6. Find the common denominator of (-21)/42*67/(-3) and c.
6
Suppose 529*c - 528*c = 12. Calculate the lowest common multiple of 21 and c.
84
Let m = -110 - -69. Let a = 57 + m. Calculate the least common multiple of 2 and a.
16
Let i(k) = -3*k + 99. What is the least common multiple of i(28) and 579?
2895
Let a(t) = -t**2 + 12*t - 7. Let r(x) = 3*x - 12. Calculate the smallest common multiple of a(11) and r(6).
12
Let i(y) be the second derivative of y**3/2 - 4*y**2 + y. Let f = 32 + -24. Calculate the smallest common multiple of i(f) and 20.
80
Suppose -22*h + 23*h = 2. What is the lowest common multiple of 232 and h?
232
Find the common denominator of (-110)/(-30)*(-39)/180 and -5/132.
1980
Suppose -2*v - 6*v = 0. Find the common denominator of (4 + v)*(2 + 145/(-110)) and 101/8.
88
Let i = -20 - -14. Let m = 15 + i. Let q(x) = x**3 + 12*x**2 + 12*x + 15. What is the least common multiple of m and q(-11)?
36
Suppose 2*q + q = p - 14, 3*p - 30 = 3*q. Calculate the lowest common multiple of 9 and p.
72
Let p(j) = -32*j**3 - j**2 + 1. Let v be p(1). What is the common denominator of -51/2 and 6/v*-58 + 0?
8
Let k = -263 + 343. What is the least common multiple of 50 and k?
400
Calculate the lowest common multiple of 126 and (44/5)/(112/140).
1386
Let c(m) = 4*m - 13. Let x be c(4). Suppose 0 = 4*w + 2*r - 118, -x*w - 12 = 2*r - 103. Calculate the smallest common multiple of 30 and w.
270
Let i be (-4094)/9618 - (-4 - (-150)/42). Let f = i + 8875/19236. Calculate the common denominator of 23/24 and f.
168
Calculate the common denominator of -11/12 and -1 - ((-9)/(-10))/(231/805).
132
Calculate the least common multiple of 64 and (-1 + 4)/(60/320).
64
Let d(n) = n**3 + 14*n**2 + 1. Let p(a) = a**2 - 1. Let h(r) = d(r) - 5*p(r). What is the least common multiple of h(-9) and 10?
30
Let q = -12980/9 + 1444. Let n be (3 + -3737)/(7515/(-17)). Let f = -2/835 + n. Find the common denominator of q and f.
9
Let y(f) = f - 2. Suppose -4*k = -k - 27. Let d be y(k). Suppose -5*l = -p - d, 3*l = -2*l + 15. What is the smallest common multiple of 34 and p?
136
Let o(t) = 1686*t**2 - 3. Let d be o(2). Suppose f = -5*m - 5540, d = -2*f + 5*m - 4324. Let x = -33301/6 - f. Calculate the common denominator of 1/11 and x.
66
Let z(m) = -m**3 + 7*m**2 - 5*m - 4. Suppose 0 = 2*f - 6 - 26. What is the least common multiple of f and z(6)?
16
Find the common denominator of -111/28 and (-99)/198 + 41/272.
1904
Let d = -59/106 + -251/2120. Find the common denominator of d and 53/12.
120
Let t(u) = -4*u**3 + 2*u**2. Let m be t(-2). Let r = 126 - 100. Let i = m - r. Calculate the smallest common multiple of i and 10.
70
Let w = 286 + -237. Calculate the least common
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*g + 1. Let n(m) = 4*i(m) + q(m). Let o be n(1). Which is the biggest value? (a) o (b) 1 (c) 1/6
a
Let t = 2 - 0.1. Let r = 2.9 + -3. Let m = t - r. Which is the smallest value? (a) 1 (b) -4 (c) m
b
Suppose 5*m = -5 + 5. Which is the fourth biggest value? (a) 0.3 (b) 1 (c) m (d) 4
c
Let b = -146 + 145.9. Let h = 8 + -5. What is the smallest value in -2, b, h?
-2
Let q = 0.75 - 11.75. Which is the second smallest value? (a) 0.3 (b) q (c) -2
c
Let o = 8.03 - 0.03. Let p = o - 9. Let v = 79/44 + -28/11. Which is the third biggest value? (a) p (b) v (c) 4/7
a
Let v = 0.6 + 0.4. What is the second smallest value in v, -4/3, -4?
-4/3
Let g be 3*((-9)/(-3))/27. Let a = 8 - 7.9. What is the third smallest value in -0.3, g, a?
g
Let q = -3.5 + 6.5. Which is the second smallest value? (a) -4 (b) -2/3 (c) q
b
Let i = 7.6 - 12.6. Which is the second smallest value? (a) -15/7 (b) 1/5 (c) i
a
Let r = 14.07 + -14. Let y = r - 3.07. Let l = -17.2 + 17. What is the third smallest value in y, 0.1, l?
0.1
Suppose 4*j = 5*j + 4. Let n = j + -1. Suppose -1 = 3*f - 7. What is the third smallest value in n, 3/4, f?
f
Let r = -25.89 + 26. Let m = -1.89 - r. What is the second smallest value in m, 0.3, -4?
m
Suppose 3*z = 2*o - 2, 0 = -3*o - z + 3*z + 8. What is the second smallest value in o, -3, 1?
1
Let r be ((-4)/(-10))/(-1 - 1). Which is the third biggest value? (a) r (b) -5 (c) 5
b
Let r = -4 - -2. Let v(x) = x**2 - 5*x - 1. Let q be v(6). Which is the third smallest value? (a) r (b) q (c) 0.2
b
Let u = 14 + -19. Which is the third smallest value? (a) -3 (b) u (c) -2/15
c
Let t = -0.3 - -1.21. Let c = 0.09 + t. Suppose 20 = -2*q - 2*q. What is the third biggest value in q, -4, c?
q
Let g = -6 - -3. Let o be ((-8)/60)/(g/5). Let u = 0.9 - -0.1. What is the third smallest value in o, -2/11, u?
u
Let d = -1.6 + 1.1. Which is the third smallest value? (a) d (b) -5 (c) -2/9
c
Let h = -0.1 - -0.3. Let q be 2/10 + 14322/(-35). Let z = q - -6951/17. What is the second biggest value in z, h, -4?
z
Let l = -149 - -149.3. What is the smallest value in l, -3, 0.5, -1?
-3
Let s = 62 + -65. What is the second biggest value in s, 2, 4?
2
Let v be ((-32)/(-12) - 3)*-3. Let o = 9 + -9.1. Which is the smallest value? (a) v (b) o (c) -4
c
Let s = -14/5 - -37/15. Which is the biggest value? (a) 4 (b) 0 (c) -3 (d) s
a
Let z = 107.6 - 108. Which is the fourth smallest value? (a) 1/4 (b) 1/5 (c) -21/4 (d) z
a
Let o be 6/(-33) - (-2 + (-2)/(-1)). Which is the biggest value? (a) -0.03 (b) 1 (c) -3/5 (d) o
b
Let p = -6009 - -6004.797. Let v = 0.003 + p. Let g = v - -0.2. Which is the third smallest value? (a) g (b) 5 (c) -0.5
b
Suppose -x - 50 = -4*r + 4*x, 5*r - 44 = -3*x. Let v be (-6)/r - (-34)/(-10). Let n = -2 - -1.5. Which is the third biggest value? (a) v (b) n (c) 0.4
a
Let v = 0.7 - 0.2. Which is the third smallest value? (a) 5 (b) -1/5 (c) v
a
Let q = -0.84 + 0.04. Let b = 0.5 + q. Let i be 40/(-18) + (0 - -2). What is the biggest value in 3, i, b?
3
Let w be (6 + -2)*(-21)/(-4). Suppose d + 3 = -0*d, -2*s = -4*d - 8. Let i be 1 - (w/6 + s). Which is the smallest value? (a) i (b) -1 (c) 2
b
Let i be 88/28*-1 + 3. What is the smallest value in i, 3, -1/5?
-1/5
Let k = -0.05 - 0.01. Let i = -4.06 - k. What is the third smallest value in 2, 0, i?
2
Let l = -22 - -22.13. Let n = 0.63 - l. Which is the biggest value? (a) n (b) 1/3 (c) 4
c
Let m = 23/38 + -2/19. Which is the second smallest value? (a) m (b) -1 (c) 0.3
c
Let d = 7.06 + -7. Let t = 0.56 - d. Which is the smallest value? (a) t (b) 1 (c) -0.5
c
Let g be -21*(16/(-6) + 3). Let l(m) = m**3 + 7*m**2 - 3. Let o be l(g). Which is the third smallest value? (a) o (b) -0.3 (c) 1
c
Let b be (1 - 1)*(-5)/5. Suppose -2*z = -b + 2. What is the second smallest value in 1, -2/5, z?
-2/5
Let y = 24.98 + -23. Let h = y + 0.02. Let s = 21 + -21.3. Which is the second smallest value? (a) s (b) 5 (c) h
c
Let r = 29 - 29. What is the fourth smallest value in -2/17, -0.3, r, 0.1?
0.1
Let i = -9 + 2. Let w = i - -17. Let l = w - 14. Which is the biggest value? (a) 5 (b) -3 (c) l
a
Let w = -1.4 + 1.2. Let j = -7 - -3. What is the second biggest value in j, 3, w?
w
Let g = -3.7 + -0.3. Let s = g + 3.7. Which is the smallest value? (a) -0.5 (b) s (c) 0
a
Let d(n) = n**3 - 9*n**2 - 9*n - 10. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
d -108.
706
Subtract 5 from 270.
265
Subtract 1467 from 2.
-1465
Work out -300 + -133.7.
-433.7
Add 0.4 and -280.
-279.6
Calculate -4.02824 - 10.
-14.02824
What is 380562 minus -1?
380563
Calculate -12 - 0.12447.
-12.12447
Add 617.8469 and 0.2.
618.0469
-10615 - -64
-10551
What is 0.076 less than -2?
-2.076
Add together 11710 and 0.2.
11710.2
Sum -240 and -19.206.
-259.206
What is 568750 - 3?
568747
Subtract -571538 from 0.03.
571538.03
Add together -4072 and -4.
-4076
What is -287 + 0.527?
-286.473
Total of -64757 and 0.4.
-64756.6
What is -1118 take away -0.5?
-1117.5
What is 1147.02 plus -27?
1120.02
0.0539 + 4.7
4.7539
What is -20.2 minus 0.4?
-20.6
What is 2 less than -81273?
-81275
-0.26194 - -7
6.73806
Add -0.8 and 2601.
2600.2
What is -0.01 + 2960.7?
2960.69
Calculate -96 + -0.638.
-96.638
Put together 0.16022 and 27.4.
27.56022
What is -1 take away -19839?
19838
Sum -4 and -0.1078.
-4.1078
3.4+2.7
6.1
58+-0.6268
57.3732
What is 72072 less than 0.003?
-72071.997
Total of -0.1 and 1306.
1305.9
What is 169.25 less than -3?
-172.25
Work out -1772.7 - -74.
-1698.7
What is the distance between -2092 and -4?
2088
-24376.2 - -0.1
-24376.1
What is -31 plus 0.1213?
-30.8787
Work out -0.2 - 0.05111.
-0.25111
What is the difference between -148.1 and 4.06?
152.16
Subtract 0.38 from -15766.
-15766.38
What is 5536 less than 0.8?
-5535.2
What is the distance between -0.0376 and 4.2?
4.2376
Total of -0.5 and 39746.
39745.5
Add together -0.579 and 0.005.
-0.574
Subtract 0.48 from 6949.
6948.52
What is -0.10507 minus 4?
-4.10507
Total of -2.07 and 8677.
8674.93
What is -584 - -280?
-304
What is -1242 + -0.47?
-1242.47
What is -610 plus -0.5?
-610.5
Add -0.03 and 296.
295.97
Add together -234 and -0.142.
-234.142
What is -35067 take away -3?
-35064
Calculate -13 + -119653.
-119666
What is 116.3 - 12.2?
104.1
What is 0.2389682 - -4?
4.2389682
0.1 + 169522
169522.1
What is 0.01469 + -543?
-542.98531
What is 0.18659 - -34.2?
34.38659
What is -0.462483 - 1?
-1.462483
Calculate 9.483 - 3.
6.483
Work out -643492 - 0.2.
-643492.2
What is the difference between 156 and -0.06?
156.06
Calculate -0.0478 + -23.
-23.0478
9255.17+0.4
9255.57
Work out -0.1 - 79.595.
-79.695
-0.01549 + -0.216
-0.23149
Sum -0.4 and -3583.7.
-3584.1
Subtract 0.0806 from -4.
-4.0806
Total of -0.23 and -38394.
-38394.23
What is -0.05 - 3.6062?
-3.6562
What is the distance between 6089 and 0.4?
6088.6
What is -12.2575 minus -5?
-7.2575
What is 4 take away 3.3222?
0.6778
Sum -0.5 and 0.01072.
-0.48928
What is -4 less than -403.52?
-399.52
Calculate -5965 - 4.
-5969
What is -50 + -12221?
-12271
-66 - 0.005
-66.005
Add -0.4 and 439602.
439601.6
What is -2455.59 + 5?
-2450.59
Subtract 0.3 from -3870.
-3870.3
0.5+810.3
810.8
What is the difference between -0.71 and 0.16?
0.87
Subtract -0.5 from 13.9158.
14.4158
Calculate -1.1 - 210083.5.
-210084.6
-0.973 + -0.2
-1.173
Work out -0.181 - 5.6.
-5.781
Add together -73.7 and 416.
342.3
What is the difference between -613 and 0.4?
613.4
12.12 - 1509
-1496.88
Calculate 0.3 + -128.
-127.7
What is the distance between 40435 and -3.5?
40438.5
-24.2 - 0.202
-24.402
What is the difference between -4537 and -24?
4513
What is -0.4 less than 235.402?
235.802
What is -0.28595 minus 0.1?
-0.38595
Sum -985647 and -1.
-985648
Work out 0 - 1.185.
-1.185
What is the difference between -1 and -51.527?
50.527
Add together -29105 and -0.3.
-29105.3
What is -823 less than 0.0701?
823.0701
Total of 2 and 4878.
4880
5+-25.7
-20.7
31.46+1
32.46
-862 + -3
-865
Subtract 0 from 1182.
1182
Total of 1 and 17.
18
What is the distance between -0.4 and -66.21?
65.81
Add together 0.2 and 624.587.
624.787
Calculate 0 - 465.
-465
What is -0.1 + 1652.877?
1652.777
Calculate -0.2 + 235.
234.8
What is -0.03594 less than -7?
-6.96406
Add together -78959.9 and -0.4.
-78960.3
What is 644 less than -0.3?
-644.3
Work out -0.18 - 2626.
-2626.18
Calculate 7098 - 0.3.
7097.7
What is 0.53086 take away 4?
-3.46914
15 - 28543
-28528
Total of -0.2 and 794.8.
794.6
What is the distance between 6.99 and -5?
11.99
Work out 10 - -1.6.
11.6
-57.7 + 7
-50.7
Subtract -113.989 from -0.5.
113.489
What is -0.2 + 0.048?
-0.152
What is -2 less than 0.05978?
2.05978
Sum 30 and 0.0581.
30.0581
Work out -5 + 0.622706.
-4.377294
Calculate -
|
{
"pile_set_name": "DM Mathematics"
}
|
37)))/n assuming n is positive.
n**(-125/259)
Simplify (d**1)**(-10)/(d**(-1/3)*d)**28 assuming d is positive.
d**(-86/3)
Simplify (k*k*(k/(k/k**(-1)))/k)**(-6/13)/((k/((k/((((k**(3/5)*k)/k*k)/k)/k))/k)*k)/k*(k*k**(-4))/k) assuming k is positive.
k**(17/5)
Simplify (o*o/o**3)**3 assuming o is positive.
o**(-3)
Simplify (i*i**1)**(-26/5)*i**(4/9)*i/i**(-5/3) assuming i is positive.
i**(-328/45)
Simplify (x**(2/11)/((x/(x**6*x))/x*x))/(x**(2/9)/x)**(7/2) assuming x is positive.
x**(1763/198)
Simplify (k**18)**(1/4) assuming k is positive.
k**(9/2)
Simplify s**3/s*s**(-21)*s assuming s is positive.
s**(-18)
Simplify ((x**(6/5)/x)/((x*x/x**16)/x))**(-21) assuming x is positive.
x**(-1596/5)
Simplify (i/(i/i**6))/i**(-1/2)*(i*i**4*i)/i**(3/2) assuming i is positive.
i**11
Simplify b**(5/7)/((b*b**(-6))/b) assuming b is positive.
b**(47/7)
Simplify s/(s/(s**(-9)*s))*s*s*s*(s*((s/(s/(s/s**(-13)*s)))/s)/s)/s*s assuming s is positive.
s**9
Simplify (z**(-5)*z**(-9))/(z**(-1))**(-1/7) assuming z is positive.
z**(-99/7)
Simplify (k*k*k**6*k*k)/k*k**13 assuming k is positive.
k**22
Simplify (m**(5/6))**(-8/13) assuming m is positive.
m**(-20/39)
Simplify ((s**(-2)/s)**(-1/48))**(-10/13) assuming s is positive.
s**(-5/104)
Simplify d**(-2)/d*d**(7/2) assuming d is positive.
sqrt(d)
Simplify (v*v**(-2/7)/v*v*v*v*v*v**(-3))/(v**(-1))**(-32) assuming v is positive.
v**(-219/7)
Simplify (k*k*(k/(k/(k*k**(-1/4)*k)))/k)/(k*k*k**5)*(k/(k*k**(-1)))**(2/55) assuming k is positive.
k**(-927/220)
Simplify (r**5*r**3)**(-2/157) assuming r is positive.
r**(-16/157)
Simplify y*y*y*y/(y**(-14)/y)*y**(6/7) assuming y is positive.
y**(139/7)
Simplify (z**(-2/5))**(1/14)/((z/(z*z**(-9)))/z**(2/3)) assuming z is positive.
z**(-878/105)
Simplify (o/o**(9/5)*o**(3/11))**50 assuming o is positive.
o**(-290/11)
Simplify (y/(y**(-2/7)/y))/(y/(y*y*y/(y/(y/(y**(-1/17)*y))))) assuming y is positive.
y**(398/119)
Simplify ((f**(1/2))**(-26))**(11/3) assuming f is positive.
f**(-143/3)
Simplify ((n/(n**(-14)*n*n))/(n*n/(n*n**(-5))))**(19/2) assuming n is positive.
n**(133/2)
Simplify v**(-4/3)*v**(11/3) assuming v is positive.
v**(7/3)
Simplify (s**13/((s/s**(-4/11))/s))**16 assuming s is positive.
s**(2224/11)
Simplify (r**1)**35/((r*r/(((r/(r*r*r*r/(r/(r/r**5)*r)*r))/r*r)/r))/(r*r**0*r*r)) assuming r is positive.
r**37
Simplify (k*k**(-2/7))/k**4 assuming k is positive.
k**(-23/7)
Simplify (((x**0*x)/x)**34)**16 assuming x is positive.
1
Simplify (u**(5/7))**(-32) assuming u is positive.
u**(-160/7)
Simplify (q/q**(-1/5))**(-2/47) assuming q is positive.
q**(-12/235)
Simplify ((((j*j**14*j)/j)/j)/j**(-4/7))**16 assuming j is positive.
j**(1632/7)
Simplify (b/(b*b/(b*b*b**(2/25))*b)*b)/b*b/b**(1/5)*b*b**(-2/3)/(b**(2/3)*b) assuming b is positive.
b**(-34/75)
Simplify ((w*w**(-2/5))/w)/w**7*(w/w**(-1/3))/w**(-4) assuming w is positive.
w**(-31/15)
Simplify w**(-30)/(w*w/(w*w**13)*w*w*w) assuming w is positive.
w**(-21)
Simplify (h**(-6))**(2/45) assuming h is positive.
h**(-4/15)
Simplify ((u*u**7)/(u*u**(3/4)*u))**(-1/10) assuming u is positive.
u**(-21/40)
Simplify ((((a/a**2)/a)/a)/a)**47*a**6*a**(-1/2)*a*a assuming a is positive.
a**(-361/2)
Simplify (y/(y*y**(3/4)))**(-30) assuming y is positive.
y**(45/2)
Simplify t**34*t**44 assuming t is positive.
t**78
Simplify j**(-3/26)*j*j*j**(-6/19) assuming j is positive.
j**(775/494)
Simplify (f*f**(-1/16))/(f/f**(2/5)) assuming f is positive.
f**(27/80)
Simplify c*c**(-6)*c**(-9/8) assuming c is positive.
c**(-49/8)
Simplify (j**(-8)*j**7)**(1/20) assuming j is positive.
j**(-1/20)
Simplify f/(f*f**(-2/21))*f*(f/f**4)/f*f*((f*f/((f/(f/(f**(3/2)/f)))/f))/f)/(f**(-7)/f*f) assuming f is positive.
f**(277/42)
Simplify (l**(-1/6)*l*l/l**(-2/5)*l)/(l/l**1)**36 assuming l is positive.
l**(97/30)
Simplify ((n*n**7)/(n**(2/7)*n))/((n*n/(n**(-6)*n))/(n*(n/((n**6*n)/n))/n)) assuming n is positive.
n**(-37/7)
Simplify (y/(y/(y**(-1/4)/y)))**(1/11)/((y**0*y)/(y/y**4)) assuming y is positive.
y**(-181/44)
Simplify (s/(s**(-1/19)/s))**(-40) assuming s is positive.
s**(-1560/19)
Simplify (x*x/x**(1/3))/(x/(x*x**1)) assuming x is positive.
x**(8/3)
Simplify ((z/(z/z**(1/5)))/z**(-2))/((z/(z**2/z))/z)**(1/11) assuming z is positive.
z**(126/55)
Simplify g**(3/7)/g*g*g**(20/3)*g assuming g is positive.
g**(170/21)
Simplify (s/(s*s**(-12)/s)*s*s*s)/s**(1/19) assuming s is positive.
s**(303/19)
Simplify (u*u**(-17)*u*u**(4/15))**2 assuming u is positive.
u**(-442/15)
Simplify ((u/u**(-1/8))/(u*u/(u**(-1/2)*u)))/(u**8/u**6) assuming u is positive.
u**(-19/8)
Simplify (o**(1/11)*o)**(5/4) assuming o is positive.
o**(15/11)
Simplify (m*m/((m/m**(-1))/m)*m)**(14/3)*(m
|
{
"pile_set_name": "DM Mathematics"
}
|
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