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- 5*w - 2*w**2 + (-2 + 2 - w)*(-3*w + w + 3*w) - 4*w**2 + 5*w**2 + 0*w**2 - 3*w**2 + 2*w**2 + 0*w**2 + (0 + 0 + 2*w)*(w - 4*w + w). -7*w**2 Expand (-7*h + 2*h + 2*h)*(-4 + 0 - 1). 15*h Expand ((1 + f - 1)*(-2*f + 2*f - f) - 3*f**2 + 2*f**2 - f**2)*(f**2 - 1 + 1). -3*f**4 Expand (5 - 5*a - 5)*(-1 - 2 - 1). 20*a Expand 5*w**5 + w**5 - 5*w**5 + (-1 + 0 + 0)*(6 - 22 - 22)*(2*w**5 + w**5 - w**5). 77*w**5 Expand -2*g**3 + 2*g**3 - g**3 + (3*g**2 + 3*g**2 - 5*g**2)*(-5*g + 2*g + g) + (6 - 6 - 4*g**2)*(2*g + 0*g - g). -7*g**3 Expand -q**2 - 3*q**3 + q**3 + 2*q**2 + (-4 + 2*q + 4)*(-2*q**2 - 2*q**2 + 5*q**2) + (-q**2 + q**2 + q**2)*(-2*q - q + 4*q) - 3*q**3 + 2*q**3 + 9*q**3. 9*q**3 + q**2 Expand 0*h**4 + 3*h**4 - 6*h**4 + (0*h - 2*h + 3*h)*(6*h**3 + 0*h**3 - 5*h**3) + 0*h**3 - 2*h**4 + 0*h**3. -4*h**4 Expand (p**2 + p**4 - p**2 + (-6*p + 6*p - 2*p**2)*(-p**2 - p**2 + 3*p**2))*(2*p - 3 + 3). -2*p**5 Expand (-2 - 3*t + 2)*(7*t**2 + 6 - 6 - 4*t**2 + 3*t**2 - t**2 + (4 + 0 - 2)*(-2 + 2 + 2*t**2) + 1 - 1 + t**2 + 2*t**2 - 4*t**2 + 0*t**2)*(-2 - 1 + 4). -24*t**3 Expand f**4 - 2*f**4 - 3*f**4 - 2*f**4 - 3*f**4 + 4*f**4 + (-6*f + 3*f + 2*f)*(-3*f**3 + 2*f**3 - f**3) + 3*f**4 + 0*f**4 - 2*f**4. -2*f**4 Expand ((-4*p + 4*p - p)*(3*p + 0*p + 0*p) - 3*p + p + 3*p + 5*p**2)*(0*p - 2*p + p). -2*p**3 - p**2 Expand (-5*a**2 + 3*a**2 + 0*a**2)*(3 - 3 + 2*a) - a**3 - 2*a**2 + 2*a**2 + 0*a**3 + 3*a**3 - a**3. -3*a**3 Expand (14 - 13 + 2*l + l**2 + l**2)*(-4 + 2*l + 4). 4*l**3 + 4*l**2 + 2*l Expand (-5 + 4 + 4 + (-5 + 5 + 3)*(0 - 1 + 3))*(2 - 2 - 1)*(-5*c + 3*c + c). 9*c Expand -6*l**5 + 2*l**5 + 3*l**5 + (-l - 2*l + 2*l)*(2*l**4 - 5*l**4 + 4*l**4) + 3*l**5 + 3*l**5 - l**5. 3*l**5 Expand (-3 + 7 + 0)*(i - i - i**4). -4*i**4 Expand -2*t**3 - t + t + (2*t**2 - 4*t**2 - t**2)*(0*t + 5*t - 3*t) + 0*t + 0*t - 2*t**3 + (2*t**2 - 5*t**2 + t**2)*(-t + t - 2*t) - 3*t**3 - 3*t**3 + 7*t**3. -5*t**3 Expand 0*p**5 + 2*p**5 - 4*p**5 + (p**5 + 0*p**5 - 3*p**5)*(4 + 1 - 3) - 2*p**5 + p**5 + 2*p**5 + (0*p**2 + 2*p**4 + 0*p**2)*(-34 + 7*p - p + 38). 7*p**5 + 8*p**4 Expand (2*n**3 + 0*n**3 - 3*n**3)*(3 + 2 - 18)*(3 + 0 - 5). -26*n**3 Expand (-3*s + 2*s + 1 - 4)*(0 + 2 - 3). s + 3 Expand (1 + 2 - 1)*(-2*s - 4*s + s + 2 - 2 - 3*s + (2 + 2 - 3)*(-3*s + 0*s + 4*s)). -14*s Expand (3*p**3 + 5*p - 5*p)*(2 - 3 - 1). -6*p**3 Expand (5*g - 2*g + 3*g)*(-g + 3*g + 0*g)*(g + 0 + 0). 12*g**3 Expand (-w**3 + 5*w**3 - 5*w**3)*(-3*w + 3*w - w - 3*w**2). 3*w**5 + w**4 Expand (-2*f + 5*f - f)*((-f**4 + 4*f**4 - f**4)*(-4 + 2 + 3) + 3*f**4 - 3*f**4 - f**4 - 2*f**4 - 2*f**4 + 2*f**4). -2*f**5 Expand 0*c + 0*c - c - 4*c - 3*c + 5*c + (0 - 3 + 1)*(c + 1 - 1). -5*c Expand -65 + 9*g + 65 + (0 - 1 - 1)*(-4*g + g + 6*g). 3*g Expand -2*v**5 + 0*v**3 + 0*v**3 + (-3*v**5 + v**5 + 0*v**5)*(-4 - 2 + 4) + 3 - 3 - v**5 + 11*v**5 - 7*v**5 + 6*v**5 + 0*v**5 + v**5 - 2*v**5. 10*v**5 Expand (-3 - c**2 + 3)*(-c**3 + c**3 - c**3) + c**5 + 4*c**5 + 3*c**5. 9*c**5 Expand (2*g**2 - 1 + 1)*(-2*g + g + 0*g)*(3 - 3 + 3*g**2) - g**5 + g**5 - 3*g**5. -9*g**5 Expand (4*c**5 + c**5 - 3*c**5)*(19 + 10 + 19). 96*c**5 Expand (-h - 2*h + 7*h)*(h + 0 + 0). 4*h**2 Expand (-3 + 1 + 1)*(-3 + 2*s + 3)*(2 - s - 2 + 2 - 2 + 2*s + (1 + 1 + 0)*(-s - 4*s + 3*s) + s - 3 + 3 - 2*s - 2*s + 7*s) + 5*s**2 + 3*s**2 - 4*s**2. 2*s**2 Expand (-1 + 8 - 2)*(0*b - 4*b + 10*b). 30*b Expand 0*i + 0*i + i - 4 + 4 + 7*i + 3*i - i + 0*i + (2 + 1 - 5)*(-i + 0 + 0) + i + 2*i - 5*i + (3 - 3 + i)*(0 + 3 - 2). 11*i Expand (3 + 2 - 6)*((3*r - 4*r - r)*(5 - 2 - 5) + 3*r + r - 2*r + 5*r + 0*r - 4*r + 2*r + 10 - 10) + 0*r + 2*r - 3*r. -10*r Expand -2*y + y**2 + 2*y - 5*y**2 + 4*y**2 - y**2 + 3*y**2 + 0 + 0 + (y + 0*y + 0*y)*(3*y - 3*y - 4*y). -2*y**2 Expand (0*r + 0*r - r**2)*(-2*r + r + 0*r) + (2*r**2 + r - r)*(2*r - 3*r + 0*r). -r**3 Expand (3 - 1 - 3)*(81*n**2 - 4 + 1 - 83*n**2). 2*n**2 + 3 Expand (3 - 1 - 4)*(4*s + 2*s - 5*s) + 0*s + 4*s + s. 3*s Expand -5*p**5 + 2*p**5 + 4*p**5 + (1 - 2 + 2)*(2*p**4 + 2*p**3 - 2*p**3)*(-p + 5*p - 2*p). 5*p**5 Expand (m + 2*m**2 - m)*(13*m**2 + 20*m**2 - 35*m**2) + (0 + 4 - 5)*(4*m**4 + m**4 - 4*m**4). -5*m**4 Expand -t**2 - 3*t + 3*t + 2*t**2 - t**2 + 0*t**2 + t**2 + t - t + (t + 3*t - 3*t)*(5*t - 2*t - t) - 18 - 7*t**2 + 18. -4*t**2 Expand 2*z**2 - 6*z**2 - 4*z**2 + (3*z**2 - z**2 - 3*z**2)*(6 + 9 - 3). -20*z**2 Expand -5*h + 0*h + h + 2*h + 0*h - 4*h - 4*h + 3*h + 0*h + (-3 + 2 - 1)*(3*h - h - 3*h) - 2*h + 0*h - 2*h. -9*h Expand 0*z - 4*z + 3*z + (10 - 9 + 1)*(5*z - z - 2*z). 3*z Expand (-2 + 9 + 2)*(-2*d + 0*d + d). -9*d Expand (3*i + 0 + 0)*(3 + 1 - 2 + (2 - 2 + 2)*(2 - 1 + 1)). 18*i Expand (3*l + 0*l - l)*(-3 - l + 3)*(-22 + 22 + 14*l**2). -28*l**4 Expand (5 + 10 - 19)*(5*p**2 - 2*p**2 - 4*p**2). 4*p**2 Expand 6*l - 4*l + l + (-2*l + 2 - 2)*(2 + 0 + 0). -l Expand 3*x**2 - 3*x**2 + x**3 + (-2*x**2 - 5 + 5)*(2*x - 3*x + 3*x) - x**3 + 2*x**3 + x**3. -x**3 Expand (5*w - 9*w + 3 + 3*w)*(2 - 3 + 2). -w + 3 Expand (3 + 0 + 0)*(-213*v - 10*v**2 + 213*v). -30*v**2 Expand (-4 + 1 + 0)*(1 - 3 + 4)*(-2*g + 5*g - 2*g). -6*g Expand n**5 + 0*n**2 + 0*n**2 + (4*n**4 + 3*n**4 - 3*n**4)*(1 - 1 - 2)*(2*n - 4 + 4). -15*n**5 Expand (5*p + 2*p + p)*(-p**2 - 3*p**2 - 5*p**2). -72*p**3 Expand (3*w**2 - 3*w**2 - w**3)*(-8 + 16 + 18). -26*w**3 Expand (0 + 6 - 5)*(-t + 1 - 1)*(-t**3 - t**3 + 4*t**3). -2*t**4 Expand (0*a**4 - 4*a**4 + 2*a**4)*(-4*a + 2*a - 2*a) + a**3 - 3*a**3 + 2*a**4 + 6*a**5 - 3*a**5. 11*a**5 + 2*a**4 - 2*a**3 Expand -3*h**4 + 102*h - 103*h + 0*h**4 + (-5 + 4 - 1)*(-5*h**4 + 0*h**4 + 2*h**4). 3*h**4 - h Expand (-2*v**2 - 2*v**2 - v**2)*(3*v - v - 7*v)*(-3 - v + 3). -25*v**4 Expand (2*q**3 + 4 - 4 + (-1 + 2*q + 1)*(2*q**2 - 2*q**2 - 2*q**2))*(-1 + 5 - 2). -4*q**3 Expand i**2 + 0*i**2 - 3*i**2 + 2*i + i**2 - 2*i + (-3*i + i + 4*i)*(0*i + 0*i - i) + (2 - 4 + 1)*(2*i**2 - 6*i**2 + 2*i**2). -i**2 Expand (11 + 11 - 6)*(5 + 3*g - 5). 48*g Expand (3*z - 4*z + 3*z)*(0 + 1 + 1)*(-47 + 3 - 37). -324*z Expand (-3 + 3 - i)*((-1 + 3 - 4)*(3 - 5 + 3) + 0 + 0 + 1). i Expand (-7 - 8*y + 7)*(-y + y - 2*y). 16*y**2 Expand (2*a + 1 - 1)*(2*a - 6*a + 5*a) - 402*a + 14*a**2 + 402*a. 16*a**2 Expand (-11*y**3 + 3*y**3 + 4*y**3)*(-3*y + 2*y + 2*y). -4*y**4 Expand -4*y**2 + 4*y**2 - y**2 + (0 - 4 + 2)*(32*y**2 + 42*y**2 - 43*y**2). -63*y**2 Expand (5 - 4 + 3)*(-n + 2 - 2)*(n**3 + n - n). -4*n**4 Expand ((-2*t + 2*t - t)*(-t - 2*t + t) + t**2 - 4*t**2 + 2*t**2 - 2*t + 2*t - 4*t**2 - 5 + 5 + 4*t**2)*(t**2 + 3 - 3). t**4 Expand (-2*q - q + 6*q + q**4)*(2*q - 8*q + 3*q)*(-1 + 3 - 1). -3*q**5 - 9*q**2 Expand (-2*z + 2*z + 2*z**2)*(z**2 - 4*z + 4*z)*(4 - 4 + 2). 4*z**4 Expand ((6*h - 3*h - 2*h)*(2 - 3 - 2) + h - 3*h + h)*(3 - h**2 - 3). 4*h**3 Expand 0*x**3 + 3*x**3 - 2*x**3 + (-x - x + 0*x)*(4*x**2 + 3*x**2 - x**2). -11*x**3 Expand (0 - 2 + 4)*(-2 + 0 + 3)*(-32 + 24*t**2 + 32). 48*t**2 Expand (-1 - 1 - 1)*(1 - 1 - 1)*(-m + 5*m - 3*m + 2*m - 5*m + 2*m - m + 0 + 0 - 2*m + 4*m - 3*m + (-1 + 1 - 2*m)*(0 + 5 - 3) + 0*m - m + 0*m - 2*m - 2*m + 5*m). -18*m Expand (-g**2 - 2*g + g**2 - 2*g**3)*(0*g**2 + g**2 - 2*g**2). 2*g**5 + 2*g**3 Expand (-3*m**2 + 3*m**2 + 2*m**2)*(3 - 3 + 2*m)*(-6 + 4 + 13). 44*m**3 Expand (6*k**4 + 3*k**2 - 7*k**2 - 7*k**4)*(0 + 2 + k - 3). -k**5 + k**4 - 4*k**3 + 4*k**2 Expand (-5*x + 4*x + 3*x)*(-1 + 1 + x + (-2*x + 0 + 0)*(-5 + 4 + 0) + 3*x + x - 3*x - 3*x + x + x + x + 3*x - 9*x - x + 0*x + 0*x). -6*x**2 Expand (11*x + 4*x**2 - 9*x - 2*x**2)*(-4 + 2 + 3 - 4 + 5 - 2 + (0 + 5 - 4)*(-1 - 2 + 1)). -4*x**2 - 4*x Expand -4*f + 2*f**5 - f + 4*f + (-f**5 - 5*f**5 + 2*f**5)*(0 - 1 - 1). 10*f**5 - f Expand (3 - x**2 - 3)*(50 + 20 - 5). -65*x**2 Expand (-4*j + 0*j + 7*j)*(-4 + j**2 + 4) + (1 - 2*j**2 - 1)*(2*j - 1 + 1). -j**3 Expand (9*m + 3 + 1 - 7*m)*(3*m**4 + m**3 - m**3). 6*m**5 + 12*m**4 Expand (-1 + 2 + 0)*(4 - 1 - 1)*(4 - 4 + 6*y) - 2*y + 2*y + y + 3*y + 2*y - 6*y + (-6 + 1 + 3)*(0*y - 2*y + 4*y) - 2 + 2 - 2*y. 6*y Expand (0*d - 4*d + 2*d + (-d + 4*d - 2*d)*(4 - 2 - 3) - 5*d + 4*d + 3*d + 52 - 12*d - 52)*(-2 - 1 + 1)*(5*d - 3*d - 3*d). -26*d**2 Expand (-36 - 20 - 14 + 17)*(-2*d - d - d). 212*d Expand (-4*h**2 - 259 + 259)*(-1 - 2*h + 1). 8*h**3 Expand -f + 0*f + 2*f - 2*f + 2*f - f + 3 - 3 + f + (5 - 3 - 1)*(-3 + 3 + f) - 3*f + 3*f + f - 4*f - 3*f + 2
{ "pile_set_name": "DM Mathematics" }
without replacement from vvvvbvvbvvvbbvvbbv. Give prob of picking 3 v. 55/204 Four letters picked without replacement from {a: 1, s: 2, k: 2}. Give prob of picking 1 s, 1 a, and 2 k. 2/5 Four letters picked without replacement from jjjsjjsjjljjsjjjsljl. Give prob of picking 2 l and 2 s. 6/1615 Three letters picked without replacement from {y: 2, l: 3, i: 5}. What is prob of picking 1 y and 2 i? 1/6 Three letters picked without replacement from orrexexa. What is prob of picking 1 e, 1 a, and 1 x? 1/14 Three letters picked without replacement from bjjjobojyoyo. What is prob of picking 2 b and 1 y? 1/110 What is prob of picking 1 x and 2 n when three letters picked without replacement from {n: 9, x: 9}? 27/68 What is prob of picking 1 r and 1 i when two letters picked without replacement from {y: 4, b: 6, r: 1, i: 2, f: 7}? 1/95 Calculate prob of picking 1 k and 1 h when two letters picked without replacement from hhxhxxhhhhkxhxhxxh. 10/153 Two letters picked without replacement from ozkzkzzezowezwwbwew. Give prob of picking 1 b and 1 o. 2/171 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 4, p: 4, z: 1, l: 1, f: 1, u: 4}. 4/105 Four letters picked without replacement from ccccc. Give prob of picking 4 c. 1 Four letters picked without replacement from muttmummuursitu. Give prob of picking 1 i, 2 t, and 1 u. 1/91 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, t: 13, s: 3}. 6/95 Calculate prob of picking 2 p when two letters picked without replacement from eedeeeeeeeepepr. 1/105 Three letters picked without replacement from {l: 4, m: 8, i: 2, w: 1, z: 2, j: 3}. Give prob of picking 3 m. 14/285 Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {d: 3, c: 3}. 9/20 Calculate prob of picking 1 h, 1 l, and 1 o when three letters picked without replacement from {d: 5, e: 2, l: 3, h: 3, o: 1, w: 1}. 9/455 Three letters picked without replacement from {w: 11, i: 4, l: 3}. Give prob of picking 2 i and 1 l. 3/136 Two letters picked without replacement from nnaxp. Give prob of picking 1 n and 1 x. 1/5 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {c: 3, h: 1, g: 5, r: 1, y: 4}. 3/91 Calculate prob of picking 1 j, 1 u, and 2 d when four letters picked without replacement from {d: 7, c: 1, q: 3, u: 7, j: 2}. 98/1615 Two letters picked without replacement from {z: 5, c: 2, x: 12}. What is prob of picking 1 z and 1 c? 10/171 What is prob of picking 1 n and 1 f when two letters picked without replacement from {n: 3, k: 2, v: 3, f: 3, o: 2, c: 1}? 9/91 Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {q: 1, y: 1, v: 2, d: 1, o: 1, i: 1}. 2/21 Four letters picked without replacement from iciggcciwucccg. What is prob of picking 3 i and 1 u? 1/1001 Calculate prob of picking 2 p when two letters picked without replacement from ipuiiiuiiuip. 1/66 Four letters picked without replacement from ubqululooobboobowww. Give prob of picking 1 w, 1 u, 1 b, and 1 o. 18/323 Four letters picked without replacement from jjjrjrjrjjjjrjjrrj. Give prob of picking 4 j. 11/68 Two letters picked without replacement from bbpinppiipptbbpbt. Give prob of picking 1 b and 1 t. 5/68 Two letters picked without replacement from nnnnnnnbnnnbbnn. Give prob of picking 1 n and 1 b. 12/35 Two letters picked without replacement from iiiibibbiiiiii. What is prob of picking 2 b? 3/91 Two letters picked without replacement from cnn. What is prob of picking 1 n and 1 c? 2/3 Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {o: 2, b: 3, l: 3, x: 3, k: 2}. 1/13 Calculate prob of picking 1 t, 1 m, 1 w, and 1 o when four letters picked without replacement from {o: 2, d: 2, m: 2, t: 10, w: 1, p: 2}. 10/969 Two letters picked without replacement from {d: 2, f: 2, r: 6, w: 1, x: 6}. What is prob of picking 1 d and 1 w? 1/68 Calculate prob of picking 2 r when two letters picked without replacement from {k: 1, r: 2}. 1/3 Three letters picked without replacement from kqgtggcgiqgigcq. Give prob of picking 1 c, 1 g, and 1 i. 24/455 Calculate prob of picking 1 b, 1 x, and 2 f when four letters picked without replacement from bxxffxxxbbxb. 8/165 Two letters picked without replacement from {y: 2, q: 1, b: 2}. What is prob of picking 1 q and 1 b? 1/5 Four letters picked without replacement from {t: 10}. Give prob of picking 4 t. 1 Three letters picked without replacement from {o: 3, k: 5, d: 1, z: 1, p: 3, w: 1}. What is prob of picking 1 d, 1 w, and 1 z? 1/364 Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {l: 2, o: 2, p: 2, t: 3, c: 3, a: 4}. 3/40 Calculate prob of picking 2 w when two letters picked without replacement from {a: 2, q: 2, v: 4, w: 5}. 5/39 What is prob of picking 1 y, 1 u, and 1 g when three letters picked without replacement from {y: 6, u: 4, g: 1}? 8/55 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xydjddt. 1/21 What is prob of picking 2 x when two letters picked without replacement from ddxddx? 1/15 Calculate prob of picking 1 e, 1 w, and 1 l when three letters picked without replacement from {l: 5, c: 5, e: 3, w: 1, f: 1}. 3/91 Two letters picked without replacement from {q: 6, e: 3, z: 5, c: 2, v: 2}. What is prob of picking 1 e and 1 z? 5/51 What is prob of picking 1 w, 1 v, and 1 g when three letters picked without replacement from {v: 1, w: 3, g: 5, l: 4}? 15/286 Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ezlceezeeeeezzeecez. 55/171 Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {v: 1, m: 2, c: 1, q: 1, p: 2}. 2/21 Three letters picked without replacement from {f: 1, s: 2, o: 1, q: 2, x: 2, w: 1}. Give prob of picking 1 w, 1 o, and 1 q. 1/42 What is prob of picking 1 d, 2 s, and 1 g when four letters picked without replacement from {g: 6, d: 4, s: 3}? 72/715 Two letters picked without replacement from {w: 2, q: 9}. Give prob of picking 2 q. 36/55 Three letters picked without replacement from {k: 6, m: 6}. What is prob of picking 2 k and 1 m? 9/22 Two letters picked without replacement from {q: 9, w: 8, f: 2}. Give prob of picking 1 f and 1 q. 2/19 What is prob of picking 2 f when two letters picked without replacement from viipfvoffvfoiff? 1/7 What is prob of picking 1 d and 2 t when three letters picked without replacement from tdzttddpnzpndntttd? 25/272 Calculate prob of picking 1 c and 1 a when two letters picked without replacement from lfaldaqc. 1/14 Two letters picked without replacement from tvvvsvvtstt. What is prob of picking 2 s? 1/55 Three letters picked without replacement from eveeeveveeeeeeee. Give prob of picking 3 e. 143/280 What is prob of picking 1 b and 2 e when three letters picked without replacement from ybneuge? 1/35 What is prob of picking 2 h and 2 r when four letters picked without replacement from {k: 1, z: 1, h: 2, r: 4}? 3/35 What is prob of picking 2 r when two letters picked without replacement from {z: 5, w: 1, y: 5, r: 7}? 7/51 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from {y: 2, o: 1, a: 1, v: 2}. 1/20 Three letters picked without replacement from {z: 6, w: 2, y: 1, n: 5, x: 1}. What is prob of picking 2 w and 1 n? 1/91 Two letters picked without replacement from hhhhlwwi. Give prob of picking 1 h and 1 w. 2/7 What is prob of picking 1 m, 1 h, and 2 n when four letters picked without replacement from {r: 2, m: 3, h: 1, f: 2, j: 2, n: 2}? 1/165 Three letters picked without replacement from {e: 4, m: 1, c: 3, w: 1, x: 2}. What is prob of picking 1 w and 2 e? 2/55 Four letters picked without replacement from {i: 1, h: 3}. Give prob of picking 4 h. 0 What is prob of picking 1 u and 1 v when two letters picked without replacement from {q: 12, u: 1, v: 6}? 2/57 Four letters picked without replacement from {u: 2, p: 3, i: 1, n: 4, f: 2, e: 3}. What is prob of picking 2 u and 2 n? 2/455 What is prob of picking 1 f and 1 q when two letters picked without replacement from qssffqqsffmf? 5/22 What is prob of picking 2 l and 2
{ "pile_set_name": "DM Mathematics" }
p(q) = -4*q + 11 - 2*q**2 + 10*q**2 + 12*q - q**3. Let w be p(9). Solve -4*z + 2*r - 5*r = -6, 2*z + w*r = 4 for z. 0 Suppose -u - 25 = -3*z - 12, -4*z - u = -8. Solve 0 = j - 5*y - 23, -j + z = -2*y - 5 for j. -2 Let q be (1 + -1)/(0 - -2). Suppose q = 3*u - 15. Suppose j - 18 = -2*c, 3*c + 4 = 3*j - 23. Solve 0*v - 3*m - j = -u*v, -4*v = -4*m - 16 for v. 0 Let w(l) = 4 + 10 + l**3 + 19*l**2 - 4 - 20*l - 5. Let i be w(-20). Solve -4*n = -i*f - 40, -f - 4*n + 12 + 4 = 0 for f. -4 Let k = 105 + -101. Let x(j) = -j + 1. Let t(g) = -g + 1. Let r(u) = -4*t(u) + 3*x(u). Let w be r(k). Solve 6 = -3*o, 5*c + w*o + 17 = 2*o for c. -3 Let a be (17 - 19)*1/2 - -6. Solve -5*w + 2*m = -3*w + 2, 3*m = -a*w + 27 for w. 3 Let m(b) = -62*b + 6. Let u be m(-1). Suppose u = 20*z - 3*z. Solve -z*y = -2*t + 4, 2*t + 2 = -y - 4 for y. -2 Suppose -2 = 4*f - 26. Suppose -o = -2*m - 5, o - 2*m + 73 = f*o. Suppose -5 = 4*b - o. Solve 3*x = -r + 5*r + 7, b*r + 5*x = 3 for r. -1 Let c(i) = -i**2 + 6*i - 9. Let b be c(5). Let t be (-8)/(4*((-2)/b - 1)). Solve -3*n - 4*q = 8, 2*q = t*n - 0 - 4 for n. 0 Suppose -4*p + 18 = 2. Suppose -14*t = -9*t - 90. Suppose 4 = -4*a + 5*a. Solve p*s + 0*k - a*k = -16, -3*s = 3*k + t for s. -5 Let g = -95 - -101. Solve g = 2*x - f, -3*x - f - 3*f = -20 for x. 4 Let y be 4 + 1/1 - 2. Let d(k) = -k + 7. Let q be d(y). Solve -3*w + 2*w = l + 7, -2*l + 3*w = q for l. -5 Let l(t) = 11*t - 74. Let u be l(7). Solve 11 = -i - 5*r, -3*i - 7 = -2*i + u*r for i. -1 Let j(x) = 4*x**2 - 11*x + 6. Suppose 13*a = 10*a + 21. Let i be j(a). Suppose 3*n - i + 2 = 0. Solve 0*s - 13 = -s - 2*m, -5*s - 4*m = -n for s. 5 Let y(g) = 3*g + 0*g - g**2 + 1 - 8*g + 1. Let n be y(-5). Solve -3*k - n*k = -2*d, -3*d + 3*k - 9 = 0 for d. -5 Let c be ((-3)/(-6) + 0)*(2 - -2). Suppose -10*u + c = 2. Solve f = u, -6 = -3*y - 2*f - f for y. 2 Suppose 37*r - 20*r = 34. Solve -5*j = -r*h - 11, 0 = -h + 2*h - j + 4 for h. -3 Suppose 4*z - 64 = -0*z + l, 0 = z + 2*l - 16. Let q = -21 + 21. Suppose 101*p - 94*p = q. Solve p = -2*t - 3*v - 2, -t + 6 - z = -3*v for t. -4 Let i(s) = s - 1. Let h be i(-6). Let a(r) = -r - 2. Let k be a(h). Let d be 40/5 - (-2 - (-2 + -4)). Solve -5*o - 3*q - 30 = 0, 0*o - 5*o = -d*q - k for o. -3 Let f be 24/18*45/4. Solve -5*q + 0*q - i + 28 = 0, -5*i + f = 0 for q. 5 Let h(x) = 5*x - 76 + 0*x - 6*x - 131. Let l be h(0). Let m be 2/10 + l/(-15). Solve 5*z = -d - 2*d - 18, m = -3*z - 5*d for z. -3 Let d(x) = -2*x**3 + x**2 + 2*x - 1. Let z be 4/10*(-10 + 5). Let r be d(z). Let p be 310/r + (-2)/3. Solve -5*a + 25 = -2*f, 0 = -5*a + a + 5*f + p for a. 5 Suppose 4*i + g - 21 = -18, -4*i + 33 = -5*g. Solve -3*n = -w + 6 - 1, 8 = -i*w for n. -3 Let i = -13073 - -13078. Let r be 2 + (0 - (2 - 2)). Solve -r*m = -5 + 1, m - 27 = i*f for f. -5 Let p = 126 - 101. Solve -5*z = 5*j - p, 0 = 4*j - 3*z - 22 + 2 for j. 5 Suppose g - 5*n + 20 = 0, -4*g - 4*n + 40 = -0*g. Let r be (-8 - 27)*(-2)/g. Suppose -7*l + 0 = -r. Solve -m + 33 - 13 = -5*f, l*f = -2*m + 4 for m. 5 Suppose -4*y + 3*q + 9 = 0, 0 = 5*y + q + 5 - 2. Suppose -5*u - 5 + 10 = y. Solve -5*a = 0, 14 + u = -5*h + a for h. -3 Suppose 0 = -2*c - j + 1, -5*c - 2*j - 2*j - 2 = 0. Solve -2*i - c - 4 = 0, -3*i = -2*w + 5 for w. -2 Let g = -138 + 143. Solve -15 = -g*r, 5*x - 1 = r + 11 for x. 3 Suppose -3*f = -3*d, -4*f - 8 = -5*d - f. Suppose 2*z + 8 = 4*i, 4*i - 97*z + 94*z - 6 = 0. Solve -i*k = d*j - 2*k - 2, 2*j = -k for j. 1 Let j be 11/3 + 2/(-3). Let s(f) = -f**3 + 7*f**2 - 2*f - 6. Let u be s(j). Solve m - 4 = 2*l + 5, 5*l - 4*m = -u for l. -4 Suppose 74*g - 426 = 62*g - 130*g. Let c(a) = 3 + 2*a - a + a - a**2. Let v be c(3). Solve v = g*z + 15, -10 + 33 = -r - 4*z for r. -3 Let t(w) = -w**3 - w**2 - 3*w - 2. Let d be t(-3). Suppose -4*j - f = 2*f - d, 5*j = -f + 23. Solve 0 = j*g - 0 + 4, -u - 3*g - 7 = 0 for u. -4 Let f be (-3 + 28)*1/5. Solve 0*m + m = f*j - 7, 0 = 4*j + 5*m - 23 for j. 2 Let v be 2 + (-16)/9 - 918/(-243). Solve -v*h = -2*g + 14, 6*h - 4*h - 3*g + 13 = 0 for h. -2 Suppose -133*r + 135*r + q - 11 = 0, 0 = 5*r + 5*q - 35. Solve -4*g = 4*f - 4, -2*f + r*f - 6 = -3*g for g. 4 Suppose -15 = -5*l, 3*c + 2*l = -0*l + 159. Suppose -5*i - 11 = -c. Suppose i = 12*y - 8*y. Solve -o + 5*t = 23, 3*o = -o + y*t - 20 for o. -3 Let m(b) = 2*b - 4. Let w be m(3). Suppose 3*d + 4 - 10 = 0. Suppose -5*k = 2*n - 9, 3*n + 6*k - 9 = 3*k. Solve x + 19 = -4*s + 2*x, -d*s - n = w*x for s. -4 Suppose m - 6 = -m. Suppose 2*s - s = -m*a + 11, 4*s = 4*a + 12. Solve -10 = h - 3*q, q + 2*q = a*h + 5 for h. 5 Let k(j) be the first derivative of j**2/2 + 2*j - 4. Let o be k(8). Solve -h - f + 2 = -0*f, o = -5*f for h. 4 Suppose 0*x + 5*a = -2*x + 1, 3*x = -3*a + 15. Let m = 13 + -14. Let b be x/2 - (m + 3). Solve 2*z - 36 + 12 = 4*f, -2*f - b*z = 6 for f. -5 Let w(v) = -v**2 - 4*v + 3. Let c be w(-4). Suppose -2*s + 76 - 90 = -5*x, 2*x = 5*s - 7. Suppose 4 = -2*d + 12. Solve 13 = c*f + s*i - 8, 0 = -2*i + d for f. 5 Let c be -1 - (4 - -2)/(-2). Suppose 4*i - 24 = y, 4*i + 3*y = -c*y. Solve -7 - 4 = -4*u + n, -2*n = -i*u + 16 for u. 2 Let x be 94/(-8) - (-33)/44. Let n(h) = -5*h**2 - 21 + 4*h**2 - 6*h - 11*h. Let p be n(x). Solve 5*a + 6*j = j + p, 5*a - 2*j - 17 = 0 for a. 5 Suppose -388*n + 392*n = 16. Let u(p) = 4*p**3 - p**2. Let i be u(-1). Let t = 9 + i. Solve n*b + 6 = 2*q, 12 = -b - 4*b + t*q for b. 0 Let p(z) = 54*z + 110. Let y be p(-2). Solve 3*m = -4*n - 7, 3*n + y = -2*m - 4 for n. -4 Let j be (0/(3 + -7))/2. Solve -2*w = -2*k + w - 7, j = k + 5*w - 3 for k. -2 Let n(s) = 3*s - 8. Let c be n(4). Suppose -12 = c*t, 2*t + 58 = -0*h + 4*h. Solve 2*u - u = 2*g + h, 10 = -2*g for u. 3 Let f be 198/8 + (-11)/(-44). Let g = -2 - -7. Suppose -g*i = -i - 84. Solve -5*a = -f, 0*c + i = c + 5*a for c. -4 Suppose 62*g = 60*g + 16. Solve 3*k = 4*x + 11, 4*k - g = 4*x - 0 for x. -5 Suppose -146*k + 143*k + 18 = 0. Let h = -2 + 6. Solve h*c - 5*b = -1, -k*c = -4*c - 2*b for c. 1 Let s be (-6 + 7)*(-2 + 4). Solve -2*d + 5*d = 3*h - 6, 5*d - s*h = -7 for d. -1 Let c = -1069 - -1072. Solve 5*t = -3*b - 7, 6*b - 3*b + 15 = c*t for b. -4 Let d = -1655 + 1679. Solve -4*c - 2*p - d = -4*p, -c + 3 = 4*p for c. -5 Let m(d) = -d**3 - 6*d**2 - d - 2. Let g be m(-6). Suppose 4*v = 2*c - 1 + 3, -2*v + 2*c = g. Solve -v*z = -4*x + 19, z + 0*x + 10 = 5*x for z. -5 Let x(o) = 7*o - 24. Suppose -11*n + 11 = -33. Let y be x(n). Solve 6 = -i + y*l, 3*l - 1 = 5 for i. 2 Let q = -4 + 8. Solve -q*p - 20 = 0, -2*z - 3*p + p = 0 for z. 5 Let w be (1/(-3))/((-3)/27). Let t(k) = -k**3 - k**2 + 7*k + 5. Let o be t(-3). Solve 4*n - w*y = -11, 0 = -5*n + 2*n + o*y - 8 for n. -2 Suppose -5*r + 661 = 651. Solve -24 = 4*m - 3*o, m + 7 + 4 = r*o for m. -3 Let z = 10 - 13. Suppose n - 2*r - 5 = 0, 2*n - 3*r = 5 + 3. Let t be (-2 - z)*n - 1. Solve -3*o = -o, t = -5*x - o - 15 for x. -3 Suppose 0 = g - 2*c - 13, 11*c - 6*c + 31 = 2*g. Suppose -t = -g*t + 8. Suppose 4*s - t - 4 = 0. Solve q + 6*v = s*v + 13, -3*q + 5*v + 5 = 0 for q. 5 Let l = -9 - -12. Suppose l*o = -0*o + 12. Suppose -3*n + 5*w - 7 = -4*n, 14 = 5*n + o*w. Solve 2*y + n*d = 14, -2 = -y + 3*d - 11 for y. 3 Let l(w) = -6*w + 21 - 3 - 5*w. Let f be l(-2). Solve -4*i = -4*s, i - 6*i = 3*s - f for i. 5 Let w be (16*36/960)/((-3)/(-10)). Solve -3*f + 4 = -r, -w = r - 4 for f. 2 Let l = 43 - 20. Suppose 3*x - l = -11. Let f be 3/((x/(-3))/(-4)). Solve 2*d - f = 4*b - b, 2*d = -4*b + 2 for b. -1 Let l be (12/(-20))/((-2)/(-10)). Let a = 18 + l. Suppose 5*j = 2*j + a. Solve 4*p - 5*m - 2 + 9 = 0, -2 = -p + j*m for p. -3 Let z be 6/(-21) - (-2 + (-235)/(-35)). Let v(r) = 2*r**2 + 12*r + 16. Let y be v(z). Solve -3*w + 0*w = 5*b - 6, w + 3*b - y = 0 for w. -3 Let r(m) be the third derivative of -m**6/120 - 3*m**5/20 + 11*m**4/24 + 5*m**3/3 - 34*m**2. Let a be r(-10). Solve 5*n = y + 5, -2*n - 10 = -a*n + 2*y for n. 0 Let q be (2 + (-33)/9)*-6. Suppose g + 13 = j - 3, 0 = -2*g + q. Solve -m = -4*i + j, 13 = -3*i + 5*m + 50 for i. 4 Suppose 34*f = 29*f + 75. Let j(v) = v**2 + v. Let r be j(1). Suppose 4*x - 2*x = g - 6, -r*x = 3*g + 6. Solve -i - f = -2*u, g*u = -u + 5 for i. -5 Let h be 16/18*12*(-3)/(-2). Let c be 0 - (-7 - h/(-4)). Solve 4*u - 22 = -0*x - 2*x, c*x = -2*u + 13 for u. 5
{ "pile_set_name": "DM Mathematics" }
n two letters picked without replacement from {p: 1, m: 2}? 1/3 What is prob of picking 2 w when two letters picked without replacement from nwwnw? 3/10 Two letters picked without replacement from {i: 4, h: 1, e: 3, o: 2}. What is prob of picking 2 i? 2/15 What is prob of picking 1 x, 1 j, and 1 p when three letters picked without replacement from jpxnntx? 2/35 Calculate prob of picking 4 l when four letters picked without replacement from {l: 7, y: 4}. 7/66 Four letters picked without replacement from hhghgghgghgg. Give prob of picking 3 g and 1 h. 35/99 Three letters picked without replacement from {g: 3, s: 4}. What is prob of picking 3 s? 4/35 What is prob of picking 2 b, 1 x, and 1 s when four letters picked without replacement from bxiibititbiiiisii? 3/2380 What is prob of picking 2 l, 1 p, and 1 k when four letters picked without replacement from ppkllllppkllzk? 180/1001 What is prob of picking 2 z and 2 a when four letters picked without replacement from {z: 2, a: 3}? 3/5 What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 2, h: 1, t: 1}? 1/3 Three letters picked without replacement from {t: 1, n: 3}. Give prob of picking 3 n. 1/4 Calculate prob of picking 3 o and 1 j when four letters picked without replacement from owmomowmjojmamm. 8/1365 Calculate prob of picking 2 u when two letters picked without replacement from fohulfufofullufffof. 2/57 Three letters picked without replacement from {t: 5, a: 15}. Give prob of picking 2 t and 1 a. 5/38 Three letters picked without replacement from {d: 2, i: 2}. What is prob of picking 1 i and 2 d? 1/2 Two letters picked without replacement from yyyyylyylyylyy. Give prob of picking 1 y and 1 l. 33/91 What is prob of picking 1 m, 1 z, and 2 p when four letters picked without replacement from tzmpppmpmmpppmtppm? 6/85 What is prob of picking 2 p when two letters picked without replacement from pxvpxvuuusvuuup? 1/35 Two letters picked without replacement from fttfmftttttftt. What is prob of picking 1 m and 1 f? 4/91 Two letters picked without replacement from aauurnuapnaauraruan. What is prob of picking 1 u and 1 a? 35/171 Calculate prob of picking 2 u and 1 x when three letters picked without replacement from xxxxxuxxuxuxux. 15/91 Two letters picked without replacement from iuutn. Give prob of picking 1 i and 1 u. 1/5 Three letters picked without replacement from {y: 1, w: 3, k: 4, u: 2, c: 3, s: 2}. What is prob of picking 1 w and 2 u? 3/455 Three letters picked without replacement from bibiwmi. What is prob of picking 1 i and 2 b? 3/35 Two letters picked without replacement from nbbbnbbbbbtbnbttbt. Give prob of picking 2 t. 2/51 Calculate prob of picking 2 e and 1 t when three letters picked without replacement from eeetetwttttteeetete. 108/323 Calculate prob of picking 1 x, 1 d, and 1 k when three letters picked without replacement from dxddmfdk. 1/14 Four letters picked without replacement from {p: 3, a: 5}. What is prob of picking 2 p and 2 a? 3/7 Four letters picked without replacement from iieipppep. Give prob of picking 2 e and 2 i. 1/42 Three letters picked without replacement from {j: 1, r: 1, a: 1, n: 1, b: 1}. Give prob of picking 1 j, 1 a, and 1 n. 1/10 What is prob of picking 2 h, 1 v, and 1 m when four letters picked without replacement from imdmhfvhd? 1/63 Two letters picked without replacement from daadaaddqqdadd. What is prob of picking 2 a? 10/91 Four letters picked without replacement from tbttbttttbtt. Give prob of picking 4 t. 14/55 Four letters picked without replacement from {n: 1, q: 4, z: 2, h: 2}. Give prob of picking 1 n and 3 h. 0 Two letters picked without replacement from {k: 1, a: 4, t: 3, l: 1, o: 2}. What is prob of picking 1 t and 1 k? 3/55 Calculate prob of picking 2 u and 1 i when three letters picked without replacement from gmmmxxkixixmumxxx. 0 What is prob of picking 1 z and 1 u when two letters picked without replacement from uuzuuuuufuuufuuuu? 7/68 Calculate prob of picking 3 w when three letters picked without replacement from wwwzwwwwzwwww. 15/26 Calculate prob of picking 2 l, 1 u, and 1 m when four letters picked without replacement from {n: 1, m: 3, l: 9, u: 4, z: 1}. 12/85 What is prob of picking 1 f, 1 m, and 1 t when three letters picked without replacement from {m: 4, c: 6, f: 7, t: 1}? 7/204 Calculate prob of picking 1 c, 1 m, and 1 e when three letters picked without replacement from {b: 3, t: 1, m: 4, e: 1, c: 2}. 8/165 Four letters picked without replacement from {h: 2, p: 2, e: 6, a: 5, q: 3}. Give prob of picking 2 p and 2 e. 1/204 Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {s: 5, k: 9}. 45/91 What is prob of picking 1 t and 1 o when two letters picked without replacement from olutucloy? 1/18 Three letters picked without replacement from mffm. What is prob of picking 2 f and 1 m? 1/2 Calculate prob of picking 2 h when two letters picked without replacement from {z: 5, h: 15}. 21/38 Calculate prob of picking 3 u when three letters picked without replacement from uuoouoououoo. 1/22 Two letters picked without replacement from ocoqexoqox. Give prob of picking 2 o. 2/15 Two letters picked without replacement from {h: 1, x: 1, g: 1, m: 1, k: 4}. What is prob of picking 1 k and 1 h? 1/7 Calculate prob of picking 1 e and 1 d when two letters picked without replacement from rrbebbedbe. 1/15 Calculate prob of picking 1 c and 3 f when four letters picked without replacement from ccccfcfccccccccfcc. 1/204 What is prob of picking 2 s and 1 l when three letters picked without replacement from sllilspqslisli? 15/182 Four letters picked without replacement from kigfkuf. What is prob of picking 1 i, 2 k, and 1 u? 1/35 Four letters picked without replacement from {y: 7}. What is prob of picking 4 y? 1 What is prob of picking 2 y when two letters picked without replacement from yyyyyayyyyyyyyyyayy? 136/171 Three letters picked without replacement from ipipgoirrbipgpp. Give prob of picking 1 r, 1 o, and 1 b. 2/455 Calculate prob of picking 2 o when two letters picked without replacement from {v: 1, o: 9, a: 1}. 36/55 Two letters picked without replacement from {k: 4, z: 7, u: 2}. Give prob of picking 2 u. 1/78 Three letters picked without replacement from skukonuukzuz. What is prob of picking 1 n, 1 s, and 1 k? 3/220 Four letters picked without replacement from {k: 3, r: 7, e: 2}. Give prob of picking 1 e and 3 r. 14/99 What is prob of picking 1 w and 2 n when three letters picked without replacement from {w: 11, n: 3}? 33/364 Three letters picked without replacement from {e: 2, j: 1, f: 4, m: 4}. Give prob of picking 1 e and 2 m. 4/55 Calculate prob of picking 1 v, 1 g, 1 x, and 1 p when four letters picked without replacement from {v: 3, x: 4, b: 1, g: 3, t: 4, p: 2}. 18/595 Calculate prob of picking 3 e when three letters picked without replacement from eemmseseemsrmeme. 1/16 What is prob of picking 2 o when two letters picked without replacement from {o: 3}? 1 What is prob of picking 3 x and 1 q when four letters picked without replacement from {q: 5, x: 7, m: 1}? 35/143 Calculate prob of picking 1 n, 1 j, and 2 x when four letters picked without replacement from {x: 3, n: 1, j: 4}. 6/35 Three letters picked without replacement from {q: 10, t: 5, r: 3, s: 1, k: 1}. Give prob of picking 1 s, 1 k, and 1 r. 1/380 Three letters picked without replacement from {s: 7, q: 2}. Give prob of picking 1 s and 2 q. 1/12 Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {f: 1, a: 2, c: 1, z: 1, w: 2, b: 1}. 1/28 What is prob of picking 1 v and 1 q when two letters picked without replacement from {k: 2, q: 2, h: 1, v: 9}? 18/91 Calculate prob of picking 2 p when two letters picked without replacement from {z: 6, i: 6, p: 4, o: 2}. 2/51 Calculate prob of picking 2 o and 2 x when four letters picked without replacement from uoxucx. 0 What is prob of picking 1 q and 1 k when two letters picked without replacement from kqk? 2/3 Four letters picked without replacement from {u: 6, r: 12}. What is prob of picking 3 r and 1 u? 22/51 Four letters picked without replacement from {i: 4, n: 2, e: 1, o: 2}. Give prob of picking 1 i, 1 e, and 2 o. 2/63 Four letters
{ "pile_set_name": "DM Mathematics" }
*3 - 9*p**2 + p + 8 What is the l'th term of -551, -1100, -1651, -2204, -2759, -3316? -l**2 - 546*l - 4 What is the l'th term of -9, -43, -117, -243, -433? -2*l**3 - 8*l**2 + 4*l - 3 What is the g'th term of -87, -85, -81, -75, -67? g**2 - g - 87 What is the k'th term of -3, 6, 27, 60? 6*k**2 - 9*k What is the k'th term of -34, -182, -592, -1396, -2726, -4714? -22*k**3 + k**2 + 3*k - 16 What is the g'th term of -2180, -4366, -6554, -8744, -10936, -13130? -g**2 - 2183*g + 4 What is the h'th term of -34, -66, -98, -130, -162, -194? -32*h - 2 What is the q'th term of -9000, -9003, -9006, -9009, -9012? -3*q - 8997 What is the k'th term of 52, 58, 64, 70, 76? 6*k + 46 What is the h'th term of -4631, -9267, -13903, -18539? -4636*h + 5 What is the x'th term of -149, -131, -113, -95, -77, -59? 18*x - 167 What is the r'th term of -28, -45, -76, -127, -204, -313, -460? -r**3 - r**2 - 7*r - 19 What is the k'th term of -789, -1582, -2375, -3168, -3961? -793*k + 4 What is the c'th term of -46059, -46060, -46061? -c - 46058 What is the x'th term of -490, -487, -482, -475, -466, -455, -442? x**2 - 491 What is the y'th term of -33, -30, -27, -24? 3*y - 36 What is the v'th term of -3652, -3654, -3656? -2*v - 3650 What is the t'th term of -6499, -6501, -6505, -6511? -t**2 + t - 6499 What is the o'th term of 80, 158, 236, 314? 78*o + 2 What is the w'th term of -25, -68, -135, -226, -341, -480? -12*w**2 - 7*w - 6 What is the c'th term of 42, 32, 10, -30, -94, -188? -c**3 - 3*c + 46 What is the p'th term of -107, -108, -111, -116, -123, -132? -p**2 + 2*p - 108 What is the t'th term of 59, 108, 167, 242, 339, 464? t**3 - t**2 + 45*t + 14 What is the z'th term of -550, -553, -556, -559? -3*z - 547 What is the k'th term of -19, -20, -21? -k - 18 What is the b'th term of -6, -11, -24, -51, -98, -171? -b**3 + 2*b**2 - 4*b - 3 What is the h'th term of -188, -188, -176, -146, -92? h**3 - 7*h - 182 What is the k'th term of 4454, 4459, 4464, 4469? 5*k + 4449 What is the d'th term of -195, -246, -295, -342, -387? d**2 - 54*d - 142 What is the u'th term of 114, 106, 92, 72? -3*u**2 + u + 116 What is the r'th term of 1681, 3360, 5039, 6718, 8397? 1679*r + 2 What is the t'th term of -14, -43, -86, -143, -214, -299? -7*t**2 - 8*t + 1 What is the q'th term of -74, -124, -280, -596, -1126, -1924, -3044, -4540? -9*q**3 + q**2 + 10*q - 76 What is the m'th term of -71, -139, -199, -245, -271? m**3 - 2*m**2 - 69*m - 1 What is the x'th term of 230, 233, 236, 239? 3*x + 227 What is the k'th term of 342, 686, 1040, 1410, 1802, 2222? k**3 - k**2 + 340*k + 2 What is the w'th term of -10942, -10940, -10938, -10936, -10934, -10932? 2*w - 10944 What is the s'th term of -1539, -3078, -4617, -6156, -7695, -9234? -1539*s What is the d'th term of 554, 547, 530, 497, 442, 359, 242, 85? -d**3 + d**2 - 3*d + 557 What is the m'th term of 206, 413, 620, 827, 1034, 1241? 207*m - 1 What is the o'th term of 5, 2, 1, 2, 5, 10, 17? o**2 - 6*o + 10 What is the u'th term of 2, 2, -12, -46, -106, -198? -u**3 - u**2 + 10*u - 6 What is the j'th term of -50, -52, -54, -56, -58? -2*j - 48 What is the f'th term of -45, -76, -127, -198? -10*f**2 - f - 34 What is the w'th term of -324, -649, -974, -1299, -1624, -1949? -325*w + 1 What is the r'th term of -6, -37, -78, -135, -214, -321? -r**3 + r**2 - 27*r + 21 What is the a'th term of 160, 350, 572, 826? 16*a**2 + 142*a + 2 What is the j'th term of -39, -15, 35, 123, 261, 461, 735, 1095? 2*j**3 + j**2 + 7*j - 49 What is the q'th term of -8, -3, 2? 5*q - 13 What is the l'th term of -410, -791, -1184, -1595, -2030, -2495? -l**3 - 374*l - 35 What is the a'th term of -21, -3, 43, 129, 267? 2*a**3 + 2*a**2 - 2*a - 23 What is the v'th term of 613, 631, 649? 18*v + 595 What is the v'th term of -2498, -2493, -2484, -2471, -2454, -2433, -2408? 2*v**2 - v - 2499 What is the n'th term of 56, 217, 482, 851, 1324, 1901? 52*n**2 + 5*n - 1 What is the u'th term of 515, 1034, 1553? 519*u - 4 What is the y'th term of 38, 49, 58, 65, 70? -y**2 + 14*y + 25 What is the t'th term of 869, 1735, 2601, 3467? 866*t + 3 What is the q'th term of -20, -15, -6, 7, 24, 45, 70? 2*q**2 - q - 21 What is the p'th term of -3, 6, 23, 48, 81, 122? 4*p**2 - 3*p - 4 What is the i'th term of -13, -30, -49, -70, -93, -118, -145? -i**2 - 14*i + 2 What is the i'th term of -26, -92, -268, -608, -1166, -1996, -3152, -4688? -9*i**3 - i**2 - 16 What is the p'th term of -175, -362, -673, -1108? -62*p**2 - p - 112 What is the g'th term of -203, -396, -553, -656, -687, -628, -461, -168? 3*g**3 - 214*g + 8 What is the u'th term of 382, 386, 392, 400? u**2 + u + 380 What is the t'th term of 5, 1, -5, -13? -t**2 - t + 7 What is the g'th term of 15, -7, -37, -69, -97, -115, -117, -97? g**3 - 10*g**2 + g + 23 What is the m'th term of -39, -42, -35, -12, 33, 106? m**3 - m**2 - 7*m - 32 What is the d'th term of 17, 53, 111, 191, 293, 417? 11*d**2 + 3*d + 3 What is the q'th term of -14, -54, -98, -146, -198, -254, -314? -2*q**2 - 34*q + 22 What is the b'th term of 1001, 999, 997, 995, 993? -2*b + 1003 What is the t'th term of 853, 1710, 2567, 3424, 4281, 5138? 857*t - 4 What is the u'th term of -109, -212, -315, -418, -521? -103*u - 6 What is the q'th term of -589, -1178, -1765, -2350? q**2 - 592*q + 2 What is the y'th term of -11, -28, -45, -62? -17*y + 6 What is the n'th term of 246, 243, 240, 237, 234, 231? -3*n + 249 What is the x'th term of 30, 51, 72, 93, 114, 135? 21*x + 9 What is the h'th term of -6, 5, 40, 111, 230, 409, 660, 995? 2*h**3 - 3*h - 5 What is the t'th term of -53, -70, -95, -128, -169, -218, -275? -4*t**2 - 5*t - 44 What is the p'th term of 252, 213, 174? -39*p + 291 What is the k'th term of -23, -238, -597, -1100, -1747? -72*k**2 + k + 48 What is the n'th term of -62, -69, -76? -7*n - 55 What is the u'th term of -49, -49, -37, -7, 47? u**3 - 7*u - 43 What is the h'th term of -95, -191, -287, -383? -96*h + 1 What is the o'th term of -228, -167, -66, 75, 256, 477? 20*o**2 + o - 249 What is the p'th term of -19, -43, -81, -133, -199? -7*p**2 - 3*p - 9 What is the n'th term of -10047, -10049, -10051, -10053? -2*n - 10045 What is the r'th term of 7, 16, 41, 88, 163, 272, 421? r**3 + 2*r**2 - 4*r + 8 What is the n'th term of 138, 364, 740, 1266, 1942, 2768? 75*n**2 + n + 62 What is the h'th term of 14, 11, 8? -3*h + 17 What is the l'th term of 61, 282, 655, 1180, 1857, 2686? 76*l**2 - 7*l - 8 What is the p'th term of 1988, 2013, 2050, 2105, 2184, 2293? p**3 + 18*p + 1969 What is the r'th term of -44, -60, -90, -140, -216? -r**3 - r**2 - 6*r - 36 What is the c'th term of 34, 34, 32, 28, 22? -c**2 + 3*c + 32 What is the f'th term of -13, -28, -43, -58? -15*f + 2 What is the o'th term of -111, -220, -313, -384, -427, -436? o**3 + 2*o**2 - 122*o + 8 What is the n'th term of 953, 1923, 2893, 3863, 4833? 970*n - 17 What is the d'th term of 26, 56, 92, 134, 182, 236, 296? 3*d**2 + 21*d + 2 What is the o'th term of 22, 8, -26, -86, -178, -308? -o**3 - 4*o**2 + 5*o + 22 What is the o'th term of -213, -842, -1891, -3360, -5249, -7558? -210*o**2 + o - 4 What is the y'th term of -6, -29, -106, -267, -542, -961, -1554, -2351? -5*y**3 + 3*y**2 + 3*y - 7 What is the o'th term of 5, 1, 13, 47, 109, 205, 341? o**3 + 2*o**2 - 17*o + 19 What is the q'th term of 175, 392, 635, 916, 1247, 1640, 2107, 2660? 2*q**3 + q**2 + 200*q - 28 What is the f'th term of -461, -458, -455, -452, -449, -446? 3*f - 464 What is the z'th term of 2266, 2274, 2296, 2338, 2406, 2506, 2644, 2826? z**3 + z**2 - 2*z + 2266 What is the b'th term of 32, 206, 526, 992, 1604, 2362, 3266? 73*b**2 - 45*b + 4 What is the a'th term of -28, -56, -84, -112, -140? -28*a What is the r'th term of 121, 123, 125, 127? 2*r + 119 What is the t'th term of -188, -190, -192? -2*t - 186 What is the c'th term of 18, 36, 60, 96, 150, 228, 336? c**3 - 3*c**2 + 20*c What is the y'th term of -4376, -8750, -13124, -17498? -4374*y - 2 What is the s'th term of 189, 188, 187, 186? -s + 190 What is the q'th term of 816, 1624, 2432, 3240, 4048, 4856? 808*q + 8 What is the t'th term of 125, 132, 145, 164? 3*t**2 - 2*t + 124 What is the d'th term of -49, -60, -71? -11*d - 38 What is the x'th term of -82, -85, -88, -91, -94, -97? -3*x - 79 What is the k'th term of -833, -852, -897
{ "pile_set_name": "DM Mathematics" }
r: -773/152910 or 1? 1 Which is smaller: -2/3 or 2413184? -2/3 Which is smaller: 1 or -17/73742557? -17/73742557 Which is smaller: 8/41 or -1064/191? -1064/191 Which is smaller: 1 or 33/2198377? 33/2198377 Which is bigger: 7.4946047 or -4? 7.4946047 Is 350601 not equal to 350695? True Do 318743935 and 318743933 have different values? True Is -1 less than or equal to -2/20569391? True Is 3.15 <= -37127.2? False Is 28722 < 28983? True Which is bigger: -1054 or 1185570? 1185570 Is -35241 equal to -79388? False Is -470313 < -470592? False Is 3874 smaller than -13861? False Is 206 bigger than -3.0081? True Is -13186 greater than or equal to 61? False Which is smaller: -1 or 13/386337? -1 Which is smaller: -11255972 or -11255967? -11255972 Which is smaller: -1637/56 or 1618/23? -1637/56 Which is smaller: 2617984 or 2618069? 2617984 Do -1 and -118/2190405 have different values? True Is -50597/97 bigger than -523? True Which is smaller: -5 or 564/28781? -5 Which is bigger: -18603607 or -55810817/3? -55810817/3 Do 468/217 and -1/1473 have different values? True Does 11672330 = 11672330? True Which is smaller: 2803100 or 2802943? 2802943 Is -206/1218695 > -1? True Is 109346211 greater than or equal to 109346209? True Is -16.01 < 0.26934? True Which is smaller: 1 or 2086/18265? 2086/18265 Which is smaller: -1263903 or -1263894? -1263903 Is -1.1 != -13790.39? True Is 997705 less than 11? False Which is smaller: -22475020 or -157325134/7? -22475020 Which is smaller: -1 or -1910/228251? -1 Is -339666 less than -339385? True Is 7472691 greater than 7472703? False Which is smaller: 1/4 or -1354931? -1354931 Is 6/62928191 bigger than 1? False Is -12 > -0.0498145? False Which is smaller: -1 or -705/435908? -1 Is 655096 smaller than 655067? False Is 18257 smaller than 17609? False Which is bigger: -14941 or 420? 420 Which is bigger: 3199253/161 or 19870? 3199253/161 Are 3536 and 343051/97 non-equal? True Is 0 greater than 3699/142723? False Which is bigger: 484/1525677 or -1? 484/1525677 Which is smaller: 344 or 26581/77? 344 Is -1 not equal to -5/19451247? True Is -6 < 16.003718? True Which is smaller: 1 or -1443/80245? -1443/80245 Which is smaller: 0 or 317/1471? 0 Does -2/9 = 8.524886? False Which is bigger: 902970/77 or 11726? 902970/77 Is -3341 less than -62161? False Which is smaller: -263/404779 or 0? -263/404779 Which is smaller: -0.064424619 or 0.4? -0.064424619 Do 1289301 and 1289306 have the same value? False Is 38 at least 1484855/4? False Which is greater: 1 or -174800973? 1 Which is smaller: 7 or 7047/1213? 7047/1213 Do -327701 and -327609 have the same value? False Which is smaller: 197124153 or 197124154? 197124153 Which is smaller: -3/8 or -19777/2? -19777/2 Which is smaller: 588110 or 587974? 587974 Which is smaller: -12/46699387 or 0? -12/46699387 Which is smaller: -1276/6599 or -1? -1 Which is bigger: -1/550 or 6331? 6331 Which is greater: 1880 or -9998? 1880 Which is greater: -591/51560 or 2/3? 2/3 Which is bigger: -4363 or -5696? -4363 Is 9608076/5 <= 1921616? True Which is greater: -64.19 or -8739? -64.19 Is -198870 >= -199101? True Is -2/161 at least as big as -71602? True Which is greater: -1313350 or -10506795/8? -10506795/8 Which is bigger: -191 or 6175515? 6175515 Which is greater: 2086 or -20601.3? 2086 Is -4911011 equal to -4910932? False Is 0.27282 at most as big as -3/25? False Do -159759 and -159359 have the same value? False Is 0.2 at most -12503023? False Which is bigger: -1 or -18/89155? -18/89155 Which is smaller: -9 or -2081766? -2081766 Is 8355650 smaller than 8355651? True Is -2/139434025 smaller than -1? False Which is smaller: -424583/16 or -26536? -424583/16 Do 0 and 18116/72493 have the same value? False Do 24500 and 24219 have different values? True Is 2/51 > -4/905383? True Is 923259 not equal to 41/3? True Which is smaller: 163821.57 or 3/4? 3/4 Is -23080/3947 greater than -6? True Which is smaller: -7/7198337 or 1? -7/7198337 Which is smaller: 1 or 32/83361757? 32/83361757 Which is greater: -126240 or -126505? -126240 Which is bigger: 17695 or 4/903? 17695 Which is greater: 1/99171939 or 0? 1/99171939 Is -412/25 != -3/5? True Which is bigger: 6427 or 6119? 6427 Is 478541/10 smaller than 23? False Which is greater: -1353.552 or -0.295? -0.295 Which is bigger: 1113916934 or 1113916936? 1113916936 Which is bigger: 1895/3712 or 0? 1895/3712 Is -3/8 >= -9/197797? False Is 0.82 at least -543482? True Which is bigger: -250641593 or -250641594? -250641593 Which is smaller: 38441992 or 38441991? 38441991 Is -697712 equal to 190? False Do 441147/16 and 27572 have the same value? False Are 75/861853 and -0.2 nonequal? True Are -205776 and -35 equal? False Which is smaller: 34942451 or 0? 0 Which is bigger: 50881 or 50611? 50881 Which is bigger: -3108176 or -3108177? -3108176 Which is greater: -36/19 or -88.397? -36/19 Which is bigger: 12229338 or 12229340? 12229340 Is -6956796 > -6956786? False Are -2340610 and -2/11 nonequal? True Is 266591684 at least as big as 266591686? False Which is smaller: -101899 or -99630? -101899 Is 1 greater than 182852907? False Which is smaller: -1353359/5 or 0? -1353359/5 Which is smaller: -31513956 or -31513957? -31513957 Which is smaller: 147990299 or 147990297? 147990297 Which is greater: 40/7 or -31846? 40/7 Which is bigger: 429814 or 429769? 429814 Is 2/33 less than 845903/4? True Which is greater: -0.2 or -221245948? -0.2 Is 866918 != 866921? True Which is smaller: 0 or 156/5601601? 0 Are 1250/7577 and -1 unequal? True Is 63925 equal to 63845? False Is 0 at most as big as -67/20225? False Which is bigger: 2 or 46137/19633? 46137/19633 Is 1 not equal to -6/123696697? True Is 180526 bigger than 802? True Is -867/1815830 greater than -1? True Are -154 and -1502705 equal? False Is 1725993/13 at most 132768? False Do -5943119 and 8 have different values? True Which is bigger: 2828 or 171.578? 2828 Are -3705740 and -18528696/5 nonequal? True Which is smaller: 12755120 or 12755119? 12755119 Which is greater: -69579 or -74263? -69579 Which is smaller: -125259 or -125245? -125259 Which is greater: -1/4270929 or 0? 0 Which is bigger: 21735124 or -1? 21735124 Which is smaller: 0 or 219/13423? 0 Is -7044679 != -7044681? True Is 332291763 at least 332291762? True Is -153595 > 1? False Which is smaller: -0.1 or -3/73198? -0.1 Is -9875286 > -9875290? True Is -2920798 equal to -4? False Is 406/9 < 40/107? False Is -15239 bigger than -26754? True Is 173855991 bigger than 1216991938/7? False Which is bigger: -883 or 403133? 403133 Which is smaller: 421452 or 421958? 421452 Which is bigger: 2/1039137505 or 1? 1 Is -5557074 at most -27785377/5? False Is 18187301 at least as big as 18187305? False Which is smaller: 472/9 or -2220/19? -2220/19 Which is bigger: -69153045 or -69153047? -69153045 Which is bigger: -1608717093/4 or -402179273? -402179273 Which is smaller: -7885515 or -7885534? -7885534 Is -884997 < -885083? False Is -159468 at least -159493? True Is 45522844 greater than or equal to 45522842? True Is -2/5 at most as big as 247.45473? True Which is smaller: 16154999 or 16154998? 16154998 Which is smaller: -35149/705 or -51? -51 Are -33369155 and -33369156 non-equal? True Is -88379387 less than -88379389? False Do -1 and -1/17624735 have different values? True Which is smaller: 0 or -4/276465491? -4/276465491 Is 30845 less than 26926? False Is 1 greater than or equal to 60094732? False Which is smaller: -11161 or -79/11? -11161 Which is greater: -1 or -2/357969357? -2/357969357 Which is greater: 1 or -746/5261689? 1 Which is smaller: 259406860 or 259406863? 259406860 Is -7539 at least as big as -474914/63? False Is -30 greater than 7558272? False Which is bigger: 54610 or 54341? 54610 Is -64/343 equal to -60? False Which is bigger: -259620 or -22067603/85? -22067603/85 Is 1 > -11/3984207? True Which is bigger: 485697 or 484146? 485697 Which is smaller: -81131573/11 or -7375599? -7375599 Which is bigger: -112194353 or -785360474/7? -112194353 Are 43061250 and 43061252 nonequal? True Is 14920 at most as big as 74598/5? False Which is smaller: -8027 or -6203? -8027 Which is bigger: 22747 or -4/5945? 22747 Is -62596 less than or equal to -57312? True Is -12/6577429 >= -1? True Are 0 and -1/303477352
{ "pile_set_name": "DM Mathematics" }
= 0, 0 = -5*b. Let p = y + t. Solve -4*r - p*u = 9, 4*u = 3*u - 5 for r. 4 Let i be (-97)/((-3)/9*-3). Let n = -94 - i. Let k be 3/12 + 19/4. Solve 3*q = -4*o - 23, -9 = n*o - k*q + 1 for o. -5 Suppose 0 = -2*h - 5*o + 19, 3 = 3*h - o - 0. Let b = 11 + -6. Let l = -251 + 261. Solve -3*x = -z + l, 0 = -x - b*z - 12 - h for x. -4 Let n(a) = -a**3 - 20*a**2 + 21*a + 6. Let m be n(-21). Suppose 4*q - 3*t + m*t = 12, t = 4*q - 28. Solve -4*b - 5*j - q = 0, -b + 3*j + 8 = b for b. 1 Let r = 49 - 59. Let i = -8 - r. Solve 3*z - 3*j = -8 - 10, z - 3 = -i*j for z. -3 Let y be 6/21 + 99/21. Let j = -1393 + 1421. Solve 19 = -y*w + 2*c, c = -9*w + 4*w - j for w. -5 Suppose 5 - 17 = -h. Let r be (9/h)/((-1)/(-4)). Suppose -14*a - 16*a = -10*a. Solve 3*f - r*w = a, 9*f + 16 = 4*f - 3*w for f. -2 Let g be 10/((-112)/(-63) - (-2)/9). Solve 5*n = x - 24, 20 = -g*x - 2*n - n for x. -1 Suppose 4*a - a + 16 = 2*s, 4*s + 3*a - 50 = 0. Let y(w) = -207*w + 2. Let f be y(0). Solve 2*t + 2 = f*o, -t - 5 = -4*o + s for t. 4 Suppose k = -0*y - 2*y + 8, 0 = -3*k - 5*y + 21. Suppose 2*l - 10 = 6. Let j be (-16)/12*(-12)/l. Solve k*u = -j*v + 8, v = 4*u - 1 - 0 for u. 1 Suppose -2*h + o = 4, 4*h - 3*o + 1 + 5 = 0. Let u be h*2/3 + 20/10. Solve u = -3*y + 4*j - 31, -3*y + 2*j + 6 - 29 = 0 for y. -5 Let o be (-2)/(-4) + (-33)/(-6). Let f be ((-42)/(-4))/(o/(-16)). Let g be (-4)/(-14) + (-132)/f. Solve 0 = g*y - q + 10, 3*q + 6 = -3*y + 2*q for y. -2 Let n = -370 - -372. Let p be 2/(-7)*-5*7. Solve -j - q = 6, -3*q = -n*j + p - 2 for j. -2 Suppose -3*z - 4*g = 257, z + g = -3*g - 75. Let x = 94 + z. Solve -2*o - 3*l = -x*o - 3, 3 = -5*o + 3*l for o. 0 Let z = 12 + -9. Suppose 3*r = -3, -4*b - 3*r = -5*r - 22. Let s(w) = -2*w - 7. Let i be s(-11). Solve o = -z*h - 0 - 15, b*o - i = 3*h for h. -5 Let w = 969 + -955. Solve -5*o - 15 = -2*g + g, -2*o + 2*g - w = 0 for o. -2 Suppose -2*p + 1 = -9. Suppose -1 = 3*r + p*n, 0 = -3*n + 3 - 9. Suppose -b + 5*y = -14, 3*y + 56 = r*b + b. Solve -4*a - 5*u = -b - 4, 4*a = 4*u for a. 2 Let a = 596 - 584. Solve 0 = -5*x, 5*x - a = 5*r - 2 for r. -2 Let x be ((-42)/(-7) - 7)*0. Solve x = 4*n + z - 11, -4*n + 5*z = -0*z + 7 for n. 2 Suppose -5*i = 5*i - 10. Suppose 0 = o - i - 1. Solve -o*h = h - y - 6, 17 = 5*h - 4*y for h. 1 Let q be 2367/81 - (-2)/(-9). Let b(c) = 4*c - 2. Let n be b(-6). Let h = n + q. Solve 4*j + 5*y - y + 16 = 0, h*y = 4*j - 19 for j. 1 Suppose -6*s + 4*s - 4 = 0. Let r be (-38)/10 + s/10. Let o(b) = -4*b - 5. Let c be o(r). Solve -a + 13 = -2*m + 4*a, -2*m + 3*a = c for m. -4 Let k = -814 - -824. Solve -13*b = -k*b + 5*o, -3*b - 2*o = 0 for b. 0 Let n(m) = m**3 + 22*m**2 - 23*m + 10. Suppose 0*t = 6*t + 138. Let v be n(t). Solve v = k + 2*a, -4*a + 10 = -3*k - 2*a for k. 0 Suppose 107*l - 24 = 103*l. Solve 5*n + 2*w - 3 = l*w, 4*n - 4 = 4*w for n. -1 Let y(g) = 6*g - 63. Let w be y(11). Solve p - 25 = 4*a, -15 = w*p - 6*p for a. -5 Let k = -347 - -351. Solve 3*q + 13 = 3*n - 7*n, -2*q = -k*n + 2 for n. -1 Let c be (-42)/(-70) + (-22)/(-5). Suppose g - c*v = -8, -v + 0*v = 2*g - 6. Solve o = d + 8, 4*d - g*o + 24 = -0*d for d. -4 Suppose 15*c = -2*c + 34. Solve 0 = 2*b - a - 6, -3*a + 12 = 4*b + c*a for b. 3 Let l = 47 + -44. Suppose h + 6 = -2*i, 0 - l = -3*h + i. Solve o + 1 = 3*u, h*u = 4*o - 3*u - 5 for o. 2 Let n = -172 + 172. Solve k + m - 2 = n, -3*k + 12 = -k - 2*m for k. 4 Let s = 7 + -5. Let q be (-58 + 51)/((-1)/2*2). Solve 4*p - s*n - 31 = -5, -n + q = 2*p for p. 5 Let v = -94 - -95. Solve -5*i + 3*n + v + 24 = 0, -17 = 4*i + 5*n for i. 2 Let s(h) = -h**3 - 2*h**2 + 2. Let u = 33 - 33. Let g be s(u). Solve 0 = -5*y - g*l + 28, 3*l - 33 = -4*y - 5 for y. 4 Let b = -867 - -890. Solve -3*k + 7 = -r - 3*r, 3*k - b = -4*r for r. 2 Suppose -29 = -4*k - a + 22, 5 = -a. Let n(i) = -10 + 0*i - 2 - 16*i - 5*i. Let f be n(-2). Solve -f = 5*b - 5*c, -4*c = -b + 2*b - k for b. -2 Let y be ((-2635)/(-34))/31 + (-10)/(-4). Solve 5*w = -3*d - 29, 6*d = y*d + 3*w + 9 for d. -3 Suppose 0 = -2*y + 32 - 26, 4*j - 2*y - 2 = 0. Solve 5*a = -3*q + 5, j*q - 2*a + 2 = -q for q. 0 Let d be 4/21*175/(-150)*-9. Solve 3*a + 10 = 5*g - 0*a, g - 3*a - d = 0 for g. 2 Let g(c) = -c**3 + 18*c**2 - 43*c - 20. Let k be g(15). Solve 5*h - k = -0*h + 2*d, 1 = 4*h - 3*d for h. 4 Let w be (-10)/405*-9 - (-230)/18. Solve -4*r - 2 + w = x, -4*x + 10 = -r for r. 2 Suppose 4*m + 11 = 3*l, -18 = -l + m - 14. Solve l*f = -d, -d = d + f for d. 0 Let f(k) = -k**3 - 2*k**2 + 10*k + 10. Let v be f(-4). Solve 3*n + 5 = -l, -2*n + v*l - 6 = -0*n for n. -2 Let a(o) = -8*o + 2. Let p be a(4). Let x = p + 34. Solve -5*n + x = -2*y - 1, n + 4*y = 23 for n. 3 Suppose -5*z = -5*f + 50, 2*z + 10 = -0*z + 4*f. Let b = z + 19. Solve -4*k = -5*k + 4*v + 4, -b*k + 5*v = -5 for k. 0 Suppose 0 = -k + 10. Suppose -14*n + 24*n = k. Solve -2*t + 16 = 4*l, -3*t - 7 = -n for l. 5 Let j = 1134 + -1129. Solve -5*p + j*i = 0, -2*i - 2*i - 3 = -3*p for p. -3 Suppose -x = -5*x. Let s(i) = -i + 6. Let g be s(5). Let r be 1 - (g - -1 - 4). Solve 5*w = -r*o + o + 1, -2*o - w - 3 = x for o. -2 Let t be (((-3)/(-4))/(-1))/(168/(-448)). Let r = 9 - -5. Solve 3*i + r = -3*f - 2*f, 0 = f - i - t for f. -1 Let o be (-8)/(-6) + (-2)/(-3). Suppose 153 = 2*i + 15*i. Suppose 9 = r - i. Solve -4*u - 2*b - r = -0*b, -o*u - 6 = 4*b for u. -5 Let o = 666 - 663. Solve 0 = -y + b, 0*y = o*y + b - 12 for y. 3 Let d = -1132 - -1133. Solve 2*p - d - 4 = -q, p - 16 = -5*q for p. 1 Let a(f) = -f**2 + 13*f + 3. Let x be ((-8)/(-16))/(2/52). Let k be a(x). Let m be 7/(-2 - -3) + -2. Solve 3*n - m*n - 3 = -5*v, 2 = 5*n - k*v for n. 1 Let o(f) = 20*f**2 - 53*f - 14. Let z be o(3). Solve 0 = l - 0*l + 3, u = l + z for u. 4 Let l(h) = h**3 + 13*h**2 + 35*h - 5. Let t be l(-9). Solve -t*c = 5*f + 22, -f = c - 5*c - 10 for f. -2 Suppose -5*s = -11*x + 12*x - 15, -3 = 3*s + 3*x. Solve -z = -2*r - 5, 4*z - s*r + 3 = 19 for z. 3 Suppose -51 = 5*v + 44. Let y = 23 + v. Solve 0 = -j + 4*t + 17 - 3, -y*j - 20 = 3*t for j. -2 Suppose 3*o + 1 = -8, 12 = 3*j - 2*o. Solve -10 = -j*i, 5*t - 6*t - 17 = -3*i for t. -2 Let v(h) = -2*h + 14. Let k = 55 - 48. Let l be v(k). Solve -5*p - 9 = -4*n, 3*p = -l*p + 4*n - 7 for p. -1 Suppose -7 = 4*w - 19. Suppose 0 = l - w. Let n = 4 - 2. Solve 2*f + l*r = -4, n*f + 4*r - 2*r + 6 = 0 for f. -5 Let s = 9 - 4. Let o be (29 + -31)*1/(2/(-2)). Suppose -14 = -3*k + 2*k. Solve -2*y + 9 = -o*l + y, 3*l = s*y - k for l. -3 Let o = 732 - 729. Let z(k) = 2*k - 8. Let q be z(6). Let c(r) = r**2 - 4*r. Let x be c(q). Solve 4*y + 24 = -j, x = 5*y - 4*j + 12 - o for y. -5 Suppose -5*s + 3*c + 35 = 0, -2*s + 5*c + 3 = -30. Let k be (-1 - s)*(-9 + 8). Solve n + 4*i = -0*i + 15, -k*n - 3*i - 10 = 0 for n. -5 Let t(k) = -k**2 - k + k - 3*k + 2 + 0. Let p be t(-3). Suppose 0 = 4*a - p - 6. Solve m + a*r = -9, 2*m = -m + 5*r + 28 for m. 1 Suppose -24 = -102*r + 96*r. Solve -2*s + 18 = 5*n, -2*n - 8 = -5*n - r*s for n. 4 Suppose 0 = f + 3, -21*d = -22*d - f + 5. Solve 18 = 5*c + 4*z, -5*c - 3*z + d = -8 for c. 2 Suppose 3*i - 5*x + 6 = -8*x, 5*i + 3*x + 6 = 0. Solve 0 = -4*g - 6 - 6, 5*t - 3*g + 6 = i for t. -3 Let k = 71 - 68. Solve -k*x - 4 = x - 4*n, x + 2*n = 11 for x. 3 Suppose -7*x + 3*x + 12*x - 40 = 0. Let f(w) = -w**3 - 2*w**2 - w + 1. Let j be f(-2). Solve -5*m = -5*g - 39 + 4, x*m + j*g = 11 for m. 4 Let t = 28 + -25. Solve -9 = -7*a + 4*a, 4*r + t*a = -11 for r. -5 Let p be 5 - ((1 - 1)/(-1))/(-2). Let y(g) = -g**2 - 13*g + 16. Let t be y(-14). Solve 2*v = 3*h - t, -p*h - 2*v - 18 = -0*h for h. -2 Let q(r) = 10*r**2 - 26*r. Let x be q(3). Solve -x = -2*a - 2*j, 3*a = -0*j + 5*j + 10 for a. 5 Suppose -145 = 5*j - 5*k, k = -4*j - 40 - 51. Let u be (-3 + 2)/((-4)/j). Let z be 4/(-8) - 123/u. Solve 3*f + n - 15 = 2*n, 4*f - z = n for f. 5 Let y(g) = -1. Let m(r) = r + 4. Let z(l) = -m(l) - 6*y(l). Let k be z(11). Let o = 11 + k. Solve -5*s + 5 = 5*w, -o*w - 14 = -5*s + 19 for s. 5 Let p be (-6)/((-45)/12 + 3). Let y(i) = -i**3 + 7*i**2 + 8*i + 5. Let d be y(p). Suppose 10*t - 20 = d*t. Solve 5*l - 14 = j, -j = 2*l - t*l + 8 for j. -4 Suppose 0 = -2*u - 2*u + 160. Suppose 0 = -6*t + 108. Let w = u - t. Solve -4*o = -l + 3*l - w, -2*o + 5 = -l for o. 4 Let v = -750 + 753. Solve 0 = 2*k + v*w +
{ "pile_set_name": "DM Mathematics" }
What is the least common multiple of 2064 and 103888? 311664 What is the smallest common multiple of 2195655 and 1397235? 15369585 What is the common denominator of 181/25500 and 19/232050? 2320500 Calculate the smallest common multiple of 153531 and 315. 767655 What is the least common multiple of 1413 and 1203? 566613 What is the lowest common multiple of 6 and 126? 126 What is the smallest common multiple of 2100 and 150? 2100 Calculate the common denominator of -81/15038 and 20/219. 45114 Calculate the least common multiple of 35560 and 76. 675640 What is the common denominator of -149/118128 and -77/3312? 354384 What is the common denominator of 48/75841 and 4/834251? 834251 Calculate the smallest common multiple of 207172 and 604. 207172 What is the common denominator of -1/5013 and -61/99? 55143 What is the common denominator of -29/144 and -139/5484? 65808 Calculate the least common multiple of 19912 and 2096. 39824 What is the smallest common multiple of 84 and 872? 18312 What is the common denominator of -17/7904 and -61/9880? 39520 Find the common denominator of -5/216 and 115/864. 864 Calculate the least common multiple of 3435 and 2135. 1466745 Calculate the smallest common multiple of 84 and 1038. 14532 What is the common denominator of -5/3621 and -34/2769? 47073 Calculate the lowest common multiple of 58608 and 2376. 175824 What is the common denominator of 89/98 and -109/12012? 84084 What is the smallest common multiple of 29904 and 2184? 388752 Calculate the common denominator of -71/286821 and -119/382428. 1147284 What is the lowest common multiple of 360 and 14904? 74520 Calculate the common denominator of -65/3 and 149/73026. 73026 Calculate the least common multiple of 56 and 39774. 159096 Calculate the common denominator of 37/324448 and -47/243336. 973344 Find the common denominator of 29/2754 and -1/144. 22032 Calculate the common denominator of 37/182400 and 29/760. 182400 What is the least common multiple of 64 and 28760? 230080 What is the common denominator of 68/63 and -19/11613? 34839 What is the least common multiple of 18 and 95216? 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2930844 Calculate the common denominator of -39/5920 and 53/47952. 479520 Find the common denominator of 11/336 and 83/22928. 481488 What is the common denominator of 131/65800 and 89/15400? 723800 What is the smallest common multiple of 437625 and 200? 3501000 What is the common denominator of -163/126 and 107/13706? 123354 Find the common denominator of -57/28696 and -9/104023. 832184 What is the lowest common multiple of 12740 and 31850? 63700 Calculate the lowest common multiple of 514964 and 14. 3604748 What is the common denominator of 161/3102 and -95/3384? 37224 What is the smallest common multiple of 713 and 2047? 63457 What is the lowest common multiple of 3752 and 5? 18760 Calculate the least common multiple of 104192 and 3256. 104192 What is the least common multiple of 159244 and 7? 1114708 Calculate the least common multiple of 20448 and 1136. 20448 What is the smallest common multiple of 554895 and 10? 1109790 Calculate the common denominator of 21/41656 and 22/2931541. 23452328 What is the lowest common multiple of 20410 and 34540? 449020 Calculate the smallest common multiple of 20973 and 204. 1426164 Calculate the least common multiple of 1882 and 2. 1882 Find the common denominator of -61/79260 and -32/99075. 396300 What is the lowest common multiple of 102 and 10958? 558858 Find the common denominator of -91/20 and -99/4970. 9940 What is the lowest common multiple of 24453 and 135? 366795 Find the common denominator of -15/232 and -31/1856. 1856 Calculate the lowest common multiple of 7018 and 3828. 42108 Calculate the least common multiple of 6 and 1863. 3726 Calculate the common denominator of 5/272 and -41/19040. 19040 Find the common denominator of -49/45 and -43/5751. 28755 Calculate the smallest common multiple of 179802 and 30. 899010 Calculate the least common multiple of 2100 and 23550. 329700 What is the least common multiple of 30648 and 38310? 153240 What is the common denominator of -35/8 and -37/122272? 122272 Calculate the least common multiple of 136 and 101360. 1723120 What is the smallest common multiple of 28116 and 3124? 28116 Find the common denominator of -61/546522 and -23/4. 1093044 Calculate the lowest common multiple of 1995 and 93975. 1785525 What is the common denominator of -95/231 and 26/907935? 9987285 Calculate the common denominator of -29/30 and -139/27840. 27840 What is the lowest common multiple of 4734 and 891? 468666 Find the common denominator of 1/27 and 2/29229. 263061 Find the common denominator of -65/47724 and 53/2. 47724 Find the common denominator of 95/156892 and 32/61. 156892 Find the common denominator of -5/12342 and -131/7854. 86394 What is the common denominator of -79/8 and 7/892936? 892936 What is the lowest common multiple of 252675 and 135? 758025 Calculate the lowest common multiple of 1955596 and 10. 9777980 Calculate the least common multiple of 1285153 and 92743. 8996071 Calculate the common denominator of -23/5 and 44/21375. 21375 Calculate the least common multiple of 99666 and 185094. 1295658 Calculate the common denominator of 103/644 and -67/238856. 38455816 What is the smallest common multiple of 14553 and 693? 14553 What is the smallest common multiple of 55562 and 130? 277810 What is the least common multiple of 11822 and 230? 59110 What is the lowest common multiple of 40 and 7480? 7480 Find the common denominator of 7/398 and -32/203. 80794 What is the least common multiple of 20 and 160600? 160600 Calculate the common denominator of 143/60 and 37/1668. 8340 What is the smallest common multiple of 1592475 and 595? 11147325 Calculate the smallest common multiple of 2812 and 361. 53428 What is the common denominator of 41/22719 and -5/63? 477099 Find the common denominator of 58/34699 and -44/84269. 589883 Find the common denominator of -139/354648 and 101/768404. 4610424 What is the least common multiple of 4495 and 1275? 1146225 What is the common denominator of 137/17244 and -145/17244? 17244 What is the common denominator of 99/3952 and -55/192? 47424 Calculate the common denominator of 7/5064 and 115/84. 35448 What is the least common multiple of 3960 and 960? 31680 What is the lowest common multiple of 2 and 3958? 3958 Calculate the smallest common multiple of 66162 and 30. 330810 What is the smallest common multiple of 38040 and 45648? 228240 Calculate the lowest common multiple of 28070 and 30877. 308770 Calculate the lowest common multiple of 43894 and 56. 1229032 Calculate the common denominator of -13/1064 and 31/608. 4256 Calculate the smallest common multiple of 14820 and 8892. 44460 What is the smallest common multiple of 34340 and 6? 103020 Find the common denominator of 64/3315 and -98/76245. 76245 Calculate the least common multiple of 42042 and 7. 42042 What is the lowest common multiple of 542400 and 81360? 1627200 What is the least common multiple of 885 and 79020? 4662180 Calculate the common denominator of -1/5838 and -125/2502. 17514 Calculate the smallest common multiple of 15210 and 22815. 45630 Calculate the common denominator of 46/9831
{ "pile_set_name": "DM Mathematics" }
9. Is ((-5)/3 - 0)*w a composite number? True Suppose 4*o = 2 + 18, 0 = y - 5*o + 22. Suppose y*x + z - 18 - 44 = 0, 4*z - 38 = -2*x. Is x a composite number? True Suppose -2*t = 3*s + 14, -3*s - 2 = -t - 0. Let h(a) = -a**2 + 86*a - 1. Let c(v) = -17*v. Let i(q) = s*h(q) - 11*c(q). Is i(-13) composite? True Let z(x) = -x**2 + 4*x + 2. Let a be z(3). Suppose 3*m = -a*y + 3970, -4*y + 915 = 2*m - 2259. Is y composite? True Let m(o) = -31*o**2 + 10*o + 4. Let l(p) = -31*p**2 + 9*p + 3. Let w(y) = -7*l(y) + 6*m(y). Is w(2) composite? True Let c = 10 - 5. Suppose -5*b + c*l - 2*l = -82, 2*b = -5*l + 8. Is b composite? True Let y = 479 + 1622. Is y prime? False Suppose -4*z + 31 = 11. Suppose -5*p - s + 62 = -6, -74 = -z*p + 2*s. Is p composite? True Let t = -16 + 17. Is (-203*t)/(3 + -4) composite? True Let b = 23 + 19. Is b/(-4)*24/(-36) a prime number? True Suppose -w + 20 = w. Let m = w - 6. Suppose 0 = -m*c - c + 115. Is c a composite number? False Suppose 0 = -3*c + 5*p - 6*p + 997, 4*p + 1308 = 4*c. Is c prime? True Let d = 1411 + -577. Is 18/12*d/9 prime? True Let k = -5 + 7. Suppose k*y = 6*y - 16. Suppose -57 - 75 = -y*a. Is a prime? False Let z(d) = -3*d**2 + 9*d + 4. Let c be z(4). Let x(u) = 5 - 6 + 2*u**2 + u + 8. Is x(c) composite? False Let h(g) = 12*g + 3. Is h(4) a prime number? False Let o(k) = -133*k - 44. Is o(-7) a composite number? False Suppose -4*h = 4*g - 8, 0 = 4*h - 3*g - 3 - 12. Suppose -3*z - h*n + 879 = 0, -1796 = -5*z - 2*n - 343. Is z a composite number? True Let v(a) = 8*a**2 - 11*a + 8. Is v(-9) composite? True Is ((-4)/(-2))/(4/212) a composite number? True Is -335*(-4)/(6 + -2) a prime number? False Suppose 3*x = -2*p - 254, 0*p - 5*p = x + 63. Suppose -30*h = -32*h + 318. Let d = x + h. Is d prime? True Let a(t) = t**2 + 6*t - 6. Is a(-9) a prime number? False Suppose 0 = 7*o - 2*o - 530. Is o prime? False Suppose -5*b = 5*f + 5, -4*f - 5*b = 1 - 0. Let a be f + 1 - (-4 - -6). Is 1/a + (-152)/(-10) a composite number? True Let j = 34 - 0. Suppose -5*d - 2*i = -153, 4 = -d - i + j. Is d a composite number? False Suppose -2*l - 543 = 5*h, 5*l + 4*h = -0*h - 1400. Let v = -115 - l. Let n = v + -92. Is n composite? True Let s(g) = 2*g**3 - 3*g**2 + 4*g - 1. Let x be s(5). Is (28/(-8))/((-1)/x) a prime number? False Let v be 12/7*(-7)/(-2). Suppose 4*x - v = o + 6, -4*x + 20 = o. Suppose -o*m = m - 325. Is m a prime number? False Suppose -2*t - 2*r = -2164, 2*r - 3*r + 2169 = 2*t. Is t prime? True Let a(p) = p**2 + p - 19. Is a(25) composite? False Let a(r) = 5*r**2 + 16*r - 14. Let k be (-14 - -2) + 0 + -1. Is a(k) prime? False Let p be 72/(-27)*171/4. Is (1*3)/((-18)/p) prime? True Suppose -2*b = -5*y + 43, -3*b - 27 + 8 = -y. Suppose -y*s = -3*s - 8. Suppose s*r + 5 = 2*c + 51, 0 = 5*r + 2*c - 129. Is r a prime number? False Let y(p) = -p - 5. Let u be y(-7). Suppose 0 = -3*d + u*z + 137, 3*z - 41 = -2*d + 59. Is d a composite number? False Let n(w) = 4*w**3 - 1 + 10*w - 3*w**3 - 11*w. Let d(o) = -o**3 + 5*o**2 - 2*o - 1. Let y(k) = -d(k) - 2*n(k). Is y(-6) a prime number? False Suppose j = -v + 3833, -3*v + 20968 = 4*j + 5636. Is j composite? False Let l be -4 + (-2 - (2 + -4)). Let a(m) = 5*m**2 - 4*m + 2*m + 2 + 6*m + m**3. Is a(l) prime? True Let g = 120 + -206. Let h = g - -289. Is h a prime number? False Let k = -3 + 7. Let l be 15/2 + 2/k. Suppose 3*a = -l + 122. Is a a composite number? True Let l(m) = 21*m**2 + 7*m + 11. Is l(-7) a composite number? False Is ((-6)/(-5))/(4/70) a composite number? True Suppose 0 = 5*c - 0*c - 25. Suppose -h = 2*p - 23, -h - c*p = -0*h - 29. Is h prime? True Is (-1206)/(-4)*(-8)/(-12) prime? False Let g = -4 - -7. Let l be (-2)/(-1) + 6/g. Suppose 435 = l*f - f. Is f composite? True Let y(r) = -r**3 + 12*r**2 - 11*r - 6. Let z be y(8). Let h = -33 + z. Is h a prime number? False Suppose -4*s + 813 = 2*j - 9*s, -1666 = -4*j + 2*s. Is j a prime number? True Suppose -2*w - 4 = 0, -5*o = -w - 17 - 10. Let c(i) = 16*i + 6. Is c(o) composite? True Suppose 481 + 703 = 4*w + 3*s, 3*w + 2*s = 887. Is w a composite number? False Let w be 27/(-5) + (-10)/(-25). Let a(z) = z**2 + 6*z + 5. Let t be a(w). Suppose -68 = -5*b + 5*h + 272, t = 2*b + h - 139. Is b a composite number? True Let u(k) = -2*k - 9. Let b be u(-6). Suppose d = -0*d + b. Suppose -2*n + 57 = d*s, n = 4*s - 1 + 2. Is n a composite number? True Let m(f) = 118*f**2 - 3*f + 2. Is m(-3) a composite number? True Let l(k) = -3*k + 9*k + 4*k + 0 - 1. Is l(5) prime? False Suppose i = -0*i + 191. Is i a composite number? False Let c be 2/((-2)/20*-4). Suppose -c*y + 2*y + 741 = -3*z, 4*y - z = 988. Is y prime? False Let y(f) = 15*f**2 + 18*f - 23. Is y(7) prime? False Let t(l) = 1193*l**2 - 2*l - 2. Is t(-1) prime? True Suppose -4*c + f = -2*c - 5870, -3*f - 12 = 0. Is c composite? True Suppose -4*w = -4*z - 2444, 2*w - 1835 = -w + 2*z. Let s = 920 - w. Is s a prime number? True Suppose 66*h = 65*h + 877. Is h prime? True Let h = 1257 - 692. Is h composite? True Is (3 - 1)*(-7788)/(-24) a composite number? True Let n = -6 + 9. Suppose 18 - 1 = 2*i + n*h, i - 2 = 5*h. Is i a composite number? False Let k(q) = 47*q - 1. Let m be k(7). Suppose 0 = g - 78 + m. Let j = -135 - g. Is j composite? True Let t(u) = -3*u**3 - u**2. Let v be t(-1). Suppose -61 = -3*k + v*k. Let n = k - 36. Is n a composite number? True Let c(a) = -27*a**3 + 6*a**2 + 11*a - 1. Is c(-6) a prime number? True Let n(i) = i**3 + i**2 + 6*i - 3. Is n(5) prime? False Let p = 75 + 24. Suppose w + 381 = 5*w + 5*o, -2*o = w - p. Is w composite? False Is 818*(9/(-6) + 2) a prime number? True Suppose 4*t - 3*t = 0. Suppose 0*n + 5*n - 50 = t. Is n a prime number? False Let p(j) be the first derivative of -j**3/3 - 13*j**2/2 - j - 6. Is p(-8) composite? True Suppose 8 = 2*p - 0*p. Suppose p*t = 9*t - 3205. Is t a composite number? False Let t be (-10)/2*(-6)/(-10). Is t/(236/124 + -2) prime? True Let c = 115 - 50. Is c a prime number? False Suppose 2*g = -3*v + 762, -508 = -2*v - 0*g - 3*g. Is v composite? True Suppose 0*u + u = -78. Is (-4)/6*u/4 a composite number? False Let r be (-10)/(-3) - 2/6. Suppose -5*j = r*n - 53, 45 = j + 3*j + 5*n. Is j a composite number? True Let p(o) be the third derivative of -o**6/40 + o**5/60 - o**4/24 + 2*o**3/3 + 2*o**2. Is p(-3) composite? False Let f be 30 + (-1 - (3 + -2)). Suppose 8 = -4*n + f. Suppose -z + 14 = -n. Is z composite? False Let q(v) = 25*v**2 + 7*v - 1. Is q(-4) a composite number? True Let g be 1/2 - (-63)/(-6). Let p be (58 - -2)*(-4)/g. Suppose -38 - p = -2*h. Is h a prime number? True Let d(g) = 2*g + 1. Let x be d(1). Suppose -2*a - l + 164 = 0, -3*l - 150 = -x*a + 105. Is a a composite number? False Let q(o) = -o**3 + 2*o + 1. Let t be q(2). Let k be 6/4 + t/(-6). Suppose s - k*n + 4*n - 43 = 0, -n - 34 = -s. Is s a composite number? False Let n(k) = -191*k - 6. Let s be n(-4). Let c = s - 370. Suppose -y + 2*d = y - 156, -5*y = -3*d - c. Is y a composite number? True Let f = -2415 - -7036. Is f composite? False Suppose -t = 4*t - 14815. Is t a composite number? False Suppose 2 = 2*f + i - 4, -3*f + i + 4 = 0. Suppose -f*h = -0*k + 2*k - 82, -146 = -4*h + 2*k. Is h a prime number? False Suppose 0 = -n + 3 + 186. Suppose 5*v + 4*z - 430 = 0, -n + 10 = -2*v - 3*z. Is v a prime number? False Suppose 0 = -8*u + 11488 + 4296. Is u a composite number? False Suppose -46 = f - 209. Is f a prime number? True Suppose 2*m + h = 3*m - 14, 4*m - 56 = -5*h. Suppose 135 = -2*l + 5*l. Let j = l - m. Is j a composite number? False Suppose 2*n - 3*n + 182 = 0. Let y = n - 115. Is y composite? False Let x be -1*1/1 + 7. Suppose 0 = 2*y - x*y + 4. Is (-1)/(y/(-182)*2) prime? False Let t be -16 - -73 - 1*3. Let i = t + -20. Is i composite? True Suppose -2*g + 353 = 135. Is g a composite number? False Is 12036/5 + ((-279)/45 - -6) a prime number? False Suppose 0 = -5*c + 3*c + 56. Suppose k - c = 10. Is k prime? False Let u be 50/6 - 8/(-12). Let r be (0/2)/(8/(-4)). Is u - (-1 + r - -3) a prime number? True Is 143 + 1 - (3 - 0) a composite number? True Let f = 32 + 32. Suppose -4*p - 2*a + f = -9*p, 2*a = 4. Is p*(-1 + (-3)/12) composite? True Let k = 57 + -53. Let p be ((-149)/(-2))/(2/12). Suppose p = k*z - z. Is z a pri
{ "pile_set_name": "DM Mathematics" }
-4 Solve s + 4 = -0*s for s. -4 Solve -46*r + 86 = -6 for r. 2 Solve -8 = -3*h - 5 for h. 1 Solve -5*t + 8 = 23 for t. -3 Solve 0 = -2*h - 4*h + 18 for h. 3 Solve 98*j - 168 = 126*j for j. -6 Solve 0 = 24*d - 20*d + 20 for d. -5 Solve 19 = d + 18*d for d. 1 Solve 23*q - 130 + 107 = 0 for q. 1 Solve -69*m + 104 = -95*m for m. -4 Solve 0 = 111*c - 721 - 278 for c. 9 Solve 2*a + 11 = 7 for a. -2 Solve 12*g + 0*g = -12 for g. -1 Solve -15 + 21 = -3*f for f. -2 Solve 27 = -6*m + 3 for m. -4 Solve 22*r = 139 - 51 for r. 4 Solve -3*n - 24 = 21*n for n. -1 Solve -34*t + 118 + 52 = 0 for t. 5 Solve -23*r = 124 - 170 for r. 2 Solve -25*p = 24*p - 294 for p. 6 Solve -10*f + 1 = 1 for f. 0 Solve 1 = 86*o - 87*o for o. -1 Solve 9*n - 17 = -35 for n. -2 Solve 0 = -15*k - 37 - 8 for k. -3 Solve 0 = 18*y - 667 + 505 for y. 9 Solve -6*t + 7*t = 1 for t. 1 Solve -9*l + 42 = 87 for l. -5 Solve -76*z + 23*z = 371 for z. -7 Solve -8 = -39*y + 41*y for y. -4 Solve 50*t - 72*t = 88 for t. -4 Solve p - 2*p - 3 = 0 for p. -3 Solve 110 = 46*x - 24*x for x. 5 Solve 43*y = 4*y - 234 for y. -6 Solve i - 110 + 101 = 0 for i. 9 Solve 2211 - 2177 = -17*y for y. -2 Solve l = -217 + 217 for l. 0 Solve -13*k + 10*k - 6 = 0 for k. -2 Solve -1198*r + 60 = -1183*r for r. 4 Solve 70*z - 77*z + 14 = 0 for z. 2 Solve -247 + 244 = t for t. -3 Solve 0 = -15*o + 14*o + 3 for o. 3 Solve -259*j + 254*j - 10 = 0 for j. -2 Solve -18*i + 28*i + 10 = 0 for i. -1 Solve -28*i + 3 = -25*i for i. 1 Solve -19*i + 54*i + 105 = 0 for i. -3 Solve -27*y = -24*y - 9 for y. 3 Solve 4 = -5*z + 9*z for z. 1 Solve -32*x = -19*x - 11*x for x. 0 Solve 3 = -4*n + n for n. -1 Solve 12*l = 10*l - 4 for l. -2 Solve -3 = -6*c - 21 for c. -3 Solve -x - 3*x = 8 for x. -2 Solve 0 = -119*w + 136*w - 102 for w. 6 Solve 12*t = 44*t + 128 for t. -4 Solve 19 + 29 = 16*p for p. 3 Solve -6 = 35*j + 169 for j. -5 Solve 36 = 24*m - 12 for m. 2 Solve 534*s - 192 = 558*s for s. -8 Solve 3*y + 17 = 5 for y. -4 Solve -68 = -10*b - 128 for b. -6 Solve 0 = 9*b - 7*b - 10 for b. 5 Solve -7*w = 305 - 333 for w. 4 Solve 0 = -t + 60 - 57 for t. 3 Solve 8 = 7*g + 29 for g. -3 Solve 0 = 4*c - 0 - 12 for c. 3 Solve -15*i = 390 - 270 for i. -8 Solve -143*f = -146*f - 9 for f. -3 Solve 137*t - 148*t = -33 for t. 3 Solve -3*s = 21*s + 48 for s. -2 Solve -19 = -4*v - 27 for v. -2 Solve 4 = 79*h - 75*h for h. 1 Solve 23*b + 40 = -6 for b. -2 Solve 35*c - 169 + 414 = 0 for c. -7 Solve 0 = -20*r + 78 - 158 for r. -4 Solve 2*o + 16 = 20 for o. 2 Solve 15 = 343*y - 348*y for y. -3 Solve 11 - 12 = -s for s. 1 Solve -28*x + 18*x = 0 for x. 0 Solve 26*n + 40 = 34*n for n. 5 Solve 0 = -2*l - 1 + 3 for l. 1 Solve 4*i = -4*i - 8 for i. -1 Solve 14 = -17*p + 48 for p. 2 Solve -333*t = -322*t + 33 for t. -3 Solve -5 = 2*n + 5 for n. -5 Solve 0 = c - 7*c - 12 for c. -2 Solve 6 = -6*q - 6 for q. -2 Solve -153 = 50*z + 47 for z. -4 Solve -124*a = -137*a for a. 0 Solve -1 = -2*w - 5 for w. -2 Solve 3*b + 0 = -3 for b. -1 Solve 5 = 7*p - 23 for p. 4 Solve -76 = 7*h - 111 for h. 5 Solve 0*y = -y - 4 for y. -4 Solve 12*f - 139 = -115 for f. 2 Solve 21*u - 27*u - 18 = 0 for u. -3 Solve 7*a - 3*a = -20 for a. -5 Solve 416*b + 30 = 413*b for b. -10 Solve 120*k - 138*k = 108 for k. -6 Solve -y = 3*y for y. 0 Solve -145 = -22*t + 31 for t. 8 Solve -18*z = -6*z - 48 for z. 4 Solve 676 = -129*v - 614 for v. -10 Solve 17 = -5*u + 12 for u. -1 Solve 16*d - 10 = 6 for d. 1 Solve -36*d + 43*d + 35 = 0 for d. -5 Solve 2*n + 2*n = 8 for n. 2 Solve 10*u - 15*u - 10 = 0 for u. -2 Solve -31*r + 19*r + 24 = 0 for r. 2 Solve 14*t = 16*t + 2 for t. -1 Solve 40 - 8 = -16*i for i. -2 Solve -38*g + 30*g = 40 for g. -5 Solve -8*m + 32 = -16*m for m. -4 Solve -24*u + 192 = -24 for u. 9 Solve 2*d - 14*d = -24 for d. 2 Solve 5*z + 3 + 12 = 0 for z. -3 Solve 0 = 2*p - 16 + 24 for p. -4 Solve 0 = 2*d - 11 + 3 for d. 4 Solve -92*z = -22*z for z. 0 Solve -6*z - 5*z + 55 = 0 for z. 5 Solve -5 = -u - 0 for u. 5 Solve -22*d + 6 = -19*d for d. 2 Solve 0 = 18*l + 5*l + 115 for l. -5 Solve 2*y + 65 = 81 for y. 8 Solve 16*b = 19 - 3 for b. 1 Solve -123*t = -328 - 41 for t. 3 Solve 15 = 7*g + 22 for g. -1 Solve -12*q - 28 - 32 = 0 for q. -5 Solve 0 = -8*f + 39*f - 248 for f. 8 Solve 0 = 26*a - 45*a + 19 for a. 1 Solve -3*t + 12 = 6 for t. 2 Solve -22*h - 161 = -7 for h. -7 Solve -4 = 7*r + 17 for r. -3 Solve 12 = -5*p - 13 for p. -5 Solve -18*t + 20 + 70 = 0 for t. 5 Solve -2*o + 7*o + 5 = 0 for o. -1 Solve 12 = -2*d + 14 for d. 1 Solve 24 + 6 = 6*u for u. 5 Solve 8*y = 11*y for y. 0 Solve 0 = 13*w + 51 + 1 for w. -4 Solve -72 = -157*q + 166*q for q. -8 Solve 2*x = -27 + 21 for x. -3 Solve 2*b + 11*b + 26 = 0 for b. -2 Solve -46*o + 16 = -30*o for o. 1 Solve -7*z - 4 = 3 for z. -1 Solve p - 90 = -92 for p. -2 Solve 11 - 39 = -7*g for g. 4 Solve 7*j + 4 = 8*j for j. 4 Solve 0 = 56*h - 58*h for h. 0 Solve -114 = -89*u - 25 for u. 1 Solve 0 = 3*p + 65 - 71 for p. 2 Solve -52 + 42 = 10*c for c. -1 Solve -3*o + 10 = 13 for o. -1 Solve 43*v - 114 = 62*v for v. -6 Solve -128*n + 130*n = -4 for n. -2 Solve 30*f + 10*f = 200 for f. 5 Solve -55 = 15*y - 10 for y. -3 Solve 0 = -131*q + 128*q + 3 for q. 1 Solve 779*f = 776*f + 18 for f. 6 Solve -5*o - 3 = -4*o for o. -3 Solve 6*i - 20 = 11*i for i. -4 Solve 182 = 13*u + 260 for u. -6 Solve 0 = -379*b + 361*b - 90 for b. -5 Solve 2*v + v = 3 for v. 1 Solve 14 + 6 = -4*t for t. -5 Solve 8 + 21 = -29*q for q. -1 Solve -10*h = -35 + 145 for h. -11 Solve -9*h = -6*h - 6 for h. 2 Solve 0 = 4*l + 6*l + 40 for l. -4 Solve 125*m - 48*m = 385 for m. 5 Solve 11 + 10 = -7*z for z. -3 Solve -2*x + 76 = 17*x for x. 4 Solve 386*r = 397*r - 66 for r. 6 Solve 38*n - 50*n + 60 = 0 for n. 5 Solve 16*g + 22 = -10 for g. -2 Solve 245 = -40*g - 35 for g. -7 Solve -22*z + 16*z - 12 = 0 for z. -2 Solve 6*i + 4 + 26 = 0 for i. -5 Solve -4*x + 41*x = 222 for x. 6 Solve -19*z - 13 + 184 = 0 for z. 9 Solve 0 = 3*q - 12 for q. 4 Solve 0 = 5*b + 22 + 3 for b. -5 Solve 154*n - 40 = 144*n for n. 4 Solve 124 = 15*i + 124 for i. 0 Solve 14 = -68*r + 54*r for r. -1 Solve 4*j = -j for j. 0 Solve 4900*z = 4893*z + 70 for z. 10 Solve 42*t = -11*t - 16*t for t. 0 Solve -11*w + 3*w = -16 for w. 2 Solve 0 = 2*b + 15*b + 17 for b. -1 Solve 1 = -6*c + 13 for c. 2 Solve -28*j + 5 = -27*j for j. 5 Solve 0 = -13*s + 5*s + 24 for s. 3 Solve 28*x - 37*x = 9 for x. -1 Solve -170*l + 4 = -174*l for l. -1 Solve 141*n - 95 = 122*n for n. 5 Solve -2*o - 17*o - 95 = 0 for o. -5 Solve -122*r + 143*r + 105 = 0 for r. -5 Solve -29*g + 140 = -63 for g. 7 Solve z - 17 = -12 for z. 5 Solve 4552 = 7*v + 4580 for v. -4 Solve 0 = 15*b - 16*b + 3 for b. 3 Solve 9 = 167*w - 164*w for w. 3 Solve 34 = 2*n + 36 for n. -1 Solve 0 = -d - 69 + 67 for d. -2 Solve 15*p - 27 = 33 for p. 4 Solve -19 - 53 = 36*d for d. -2 Solve 116 - 104 = 3*o for o. 4 Solve 3*f = 4*f - 4*f for f. 0 Solve -348*k = -353*k - 10 for k. -2 Solve 0*k - 12 = -4*k for k. 3 Solve -5*p - 197 + 207 = 0 for p. 2 Solve 697 = 11*z + 708 for z. -1 Solve -117*f - 117 = -130*f for f. 9 Solve 3*s = -s - 12 for s. -3 Solve -2*m = -2 + 4 for m. -1 Solve -3*v + 402 = 390 for v. 4 Solve -147*u - 114 = -128*u for u. -6 Solve z = 3*z + 10 for z. -5 Solve 7*h + 2*h = 36 for h. 4 Solve -11*v - 3 - 30 = 0 for v. -3 Solve -49*s + 520 = 79 for s. 9 Solve 26*l + 2 = 25*l for l. -2 Solve 9*b - 4*b = 25 for b. 5 Solve -2 = -13*t + 15*t for t. -1 Solve 18*m = 20*m for m. 0 Solve -76*l + 205 = -555 for l. 10 Solve 57*x = 53*x for x. 0 Solve -31*t = -0 + 31 for t. -1 Solve -351 = -w - 352 for w. -1 Solve -6*f - 1380 + 1362 = 0 for f. -3 Solve -21*k = -33*k + 12 for k. 1 Solve -15*b = -b + 70 for b. -5 Solve 0 = 4*t + 901 - 925 for t. 6 Solve 5 = 36*j - 31*j for j. 1 Solve 2*h + 4 = -2 for h. -3 Solve -4 = 7*w - 18 for w. 2 Solve -13*f - 13*f + 156 = 0 for f. 6 Solve 110*q + 25 = 105*q for q. -5 Solve -93 + 28 = -13*q for q. 5 Solve 0 = -137*x + 160*x - 92 for x. 4 Solve 0 = -18*m + 20*m + 10 for m. -5 Solve 0*b - 78 = 26*b for b. -3 Solve 51*c - 66*c + 30 = 0 for c. 2 Solve 89*z - 4 = 93*z for z. -1 Solve 31 = -6*c + 1 for c. -5 Solve -40 = 18*y + 68 for y. -6 Solve 26*p = 18 + 8 for p. 1 Solve 45 - 38 = -7*d for d. -1 Solve -5*i - 6 + 16 = 0 for i. 2 Solve -18*i + 80 = 8 for i.
{ "pile_set_name": "DM Mathematics" }
((-10)/75)? 14 What is the remainder when (-77)/(-7) + 1133 - 3 is divided by 52? 49 Let i be 3/(-2) + (36/(-8))/(-9). What is the remainder when (-2*77/(-42))/(i/(-24)) is divided by 18? 16 What is the remainder when 33 is divided by -2*(196/(-7))/7? 1 Let t be 3 - 0 - (-3)/(-1). Let j(z) = 3 + t - 2*z**2 + 11*z**3 - 2. What is the remainder when j(1) is divided by 4? 2 What is the remainder when 6 - -1 - (-2192)/16 is divided by 77? 67 Suppose -d - 6*k + 27 = -k, -3*d + 3*k = -27. Calculate the remainder when 213 is divided by d. 9 Let b(x) = 8*x - 74. Calculate the remainder when 61 is divided by b(10). 1 Suppose q = 4*w - 61, 0*q + w = 2*q + 87. Let j = -30 - q. What is the remainder when 52 is divided by j? 8 Suppose 411 = 17*z - 2785. What is the remainder when z is divided by 48? 44 Let v = 268 + -77. What is the remainder when v is divided by 13? 9 Let o be (-1)/2 - (-76)/8. What is the remainder when 31 + (-3)/o*0 is divided by 2/(-2*(-4)/32)? 7 Let q = -688 - -695. What is the remainder when 241 is divided by q? 3 Let d(n) = n**3 + 21*n**2 + 16*n + 77. Calculate the remainder when d(-20) is divided by 82. 75 What is the remainder when (2/2 + -18)*-2 is divided by (8 - 26)*(-3)/6? 7 Suppose -2*u - 346 = -4*b, u + 247 = 3*b + 2*u. Suppose 6*q - b = 36. Let o = 105 + -48. Calculate the remainder when o is divided by q. 17 Let i be (-1*1)/(8/(-48)). Let x(h) = 3*h - 12. Let n be x(i). Let p = n - 5. Calculate the remainder when 2 is divided by p. 0 Let p = -30 - -48. Let c be ((-8)/12)/((-4)/78). Let l = p - c. What is the remainder when 13 is divided by l? 3 Let c(b) = -5*b - 201. Let q = -2 - -8. Calculate the remainder when q is divided by c(-41). 2 Let m(b) = b**3 - 11*b**2 - 14*b + 1. Let o be m(12). Let k = -13 - o. What is the remainder when 38 is divided by k? 8 Suppose 8*t - 8 - 8 = 0. Let m(v) = v - 2 + 13*v**t + 4*v - 2*v. Calculate the remainder when 27 is divided by m(1). 13 Suppose 4*p - 4*v = 592, 0*v + 595 = 4*p - 5*v. Calculate the remainder when p is divided by 3. 1 Let d = -15 - -73. Let f = 23 + -11. Calculate the remainder when d is divided by f. 10 Suppose 2*u - 5*u + 57 = 0. Let y be (-2)/(0 - (-4)/102). Let g = 4 - y. What is the remainder when g is divided by u? 17 Suppose -t = 3*y - 226, 4*y + t - 308 = 3*t. Suppose -n - 9 = -35. What is the remainder when y is divided by n? 24 Suppose 3*s + 28 = 5*s. What is the remainder when s is divided by 2/(-6) + 50/6? 6 Let k(l) = 4*l**2 - 3*l + 1. Let n be k(3). Let p = n + -16. Suppose 4*d - 5*d + p = 0. What is the remainder when 32 is divided by d? 8 Suppose 3*c + 40 = -c. Let b be (-2)/((-25)/c - 2). Let j(f) = -2*f**3 - 7*f**2 - 4*f + 7. What is the remainder when j(b) is divided by 10? 9 Suppose -5*j = -10*q + 5*q - 125, 4*q = -4*j - 92. Calculate the remainder when (-3)/(-9) - 328/q is divided by 9. 5 Let t = -32 + 47. Suppose -3*o = -363 - 24. Let p = -41 + o. Calculate the remainder when p is divided by t. 13 Let b(m) = -m**3 + 9*m**2 + m - 51. Let r(f) = f**3 + 10*f**2 + 2*f - 10. Calculate the remainder when r(-7) is divided by b(8). 18 Let g(n) = -n + 1. Let t be g(2). Let u = t + 11. Calculate the remainder when 29 is divided by u. 9 Suppose -10*r + 0*r = -6220. What is the remainder when r is divided by 12? 10 Let m(w) = w**2 + 5*w - 9. Let l be m(-7). Suppose l*f - 18 = 7. Suppose f*g - i - 262 = -2*i, -i + 103 = 2*g. What is the remainder when g is divided by 18? 17 Suppose 2*s = 6*s - 228. Let u(x) = -21*x + 135. What is the remainder when s is divided by u(5)? 27 Suppose 87*d - 900 = 57*d. What is the remainder when 89 is divided by d? 29 Suppose -6*r - 13 + 97 = 0. Calculate the remainder when 57 + 1/(3/(-9)) is divided by r. 12 Let b = -406 + 450. What is the remainder when b is divided by 14? 2 Suppose -5*v = -4*v - 26. Suppose -v*d + 30*d - 348 = 0. What is the remainder when d is divided by 11? 10 Let j = 2 + -3. Let t(w) be the first derivative of 14*w**3/3 - w + 116. What is the remainder when 24 is divided by t(j)? 11 Suppose 6 = y - 5*h, 9 = 5*y + h - 5*h. What is the remainder when y/(-3 + 2 - (-216)/212) is divided by 14? 11 Let p = 0 - -3. Suppose 3*o - o = 4*w + 22, 4*w = 8. Calculate the remainder when o is divided by p. 0 Suppose 0 = 5*f + f. Suppose a + 12 - 53 = f. Calculate the remainder when a is divided by 9. 5 Let n be (-42)/(-98) + 627/7. Let o = n + -74. Calculate the remainder when 141 is divided by o. 13 Let w(v) be the third derivative of 0 + 1/3*v**3 + 0*v + 5/24*v**4 - v**2. What is the remainder when 48 is divided by w(3)? 14 Let v(d) = -d**2 - 3*d. Let g be v(-2). Suppose 0 = -g*a + 3*w - 38 + 189, 2*a + 4*w = 116. Let x = 34 - 11. Calculate the remainder when a is divided by x. 22 Suppose 0 = -2*q - 0*q. Suppose -3*k - 2*l + 10 + 12 = q, 5*l = -5*k + 45. Calculate the remainder when 10 is divided by k. 2 Let p(h) = 48*h**3 - h**2 + 5*h + 6. Let u(i) = 16*i**3 + 2*i + 2. Let d(v) = -3*p(v) + 8*u(v). Calculate the remainder when d(-2) is divided by 46. 44 What is the remainder when 103 is divided by 3 - (4 - 8) - -6? 12 Suppose 0 = 3*v + 272 - 821. Calculate the remainder when 369 is divided by v. 3 Let z(l) = l + 7. Let r be z(-8). Calculate the remainder when (3/2)/(1/18) is divided by -1*(1 + -9 - r). 6 Let i = 508 + -501. Calculate the remainder when 38 is divided by i. 3 Let t = 256 + -248. What is the remainder when 70 is divided by t? 6 Let s(f) = 91*f**2 + 3*f + 10. Let q be s(-3). Suppose 0*u - b = u - 260, 3*u = 5*b + q. What is the remainder when u is divided by 38? 37 Calculate the remainder when 138 is divided by (-63)/108*-100*(-6)/(-5). 68 Let q = 1137 + -1132. What is the remainder when 88 is divided by q? 3 Let k(h) = h**3 - 20*h**2 + 75*h - 80. What is the remainder when 379 is divided by k(16)? 91 Suppose -14*j - 12*j + 26 = 0. What is the remainder when 20 is divided by j? 0 Suppose -4582 = -2*k - 3936. What is the remainder when k is divided by 8? 3 Let o = -32 - 57. Let h = o + 99. Let j = -10 + 14. Calculate the remainder when h is divided by j. 2 Let n(r) = r**3 + 7*r**2 - 5*r + 5. What is the remainder when n(-6) is divided by 37? 34 Suppose 0 = 2*v + 2 - 94. Suppose -5*t = -4*y - v, 4*t - 3*y - 55 = -19. Calculate the remainder when 35 is divided by t. 5 Suppose 26 - 8 = 3*x. Let y be (-3)/((-3)/(-12) + (-2)/40). Let h = y + 18. What is the remainder when x is divided by h? 0 Let r(b) = b**3 + 6*b**2 + b + 2. Calculate the remainder when r(-4) is divided by (152/(-361))/((-4)/38). 2 Let r(v) = -163*v - 639. Let s be 5/(10/8) - 2. Let p(i) = 25*i + 1. Calculate the remainder when p(s) is divided by r(-4). 12 Suppose -5*a + 2*a + 132 = 0. Suppose -c + 4*s - 12 = -49, 2*c + 2*s - 114 = 0. Calculate the remainder when c is divided by 608/a + 6/33. 11 Let r = 2057 + -1150. What is the remainder when r is divided by 65? 62 Let b(x) = 24*x + 2. What is the remainder when b(6) is divided by 30? 26 Let p(i) = -3*i**3 - 11*i**2 - 8. Calculate the remainder when p(-5) is divided by 32. 28 Suppose 213 = v + 180. Suppose -17 = -5*f + 3*p, -4*f + 3*p + 14 - 1 = 0. Calculate the remainder when v is divided by f. 1 Let c(l) = l**3 + 8*l**2 + 2*l - 4. Let b be 5/(-15)*(-1 - -1). Let q = 8 + b. What is the remainder when c(-7) is divided by q? 7 Let f(u) = u**3 - 57. Let n be f(0). Let w = -40 - n. What is the remainder when w is divided by 11? 6 What is the remainder when 102 is divided by ((-2)/6)/((-12)/252)? 4 Suppose 0 = 6*i - 54 + 36. What is the remainder when 28 is divided by i? 1 What is the remainder when 91 is divided by (-10101)/(-312) + 3/(-8)? 27 Suppose 0 = 11*v - 1254 - 825. What is the remainder when v is divided by 32? 29 Let i(r) = 54*r**2 + 2*r + 1. Let p be i(-1). Suppose 2*k - 45 = p. Suppose 4*o - 7 = k. Calculate the remainder when 27 is divided by o. 13 What is the remainder when 61 is divided by (-1)/(-3) + -1*611/(-39)? 13 Suppose 8*a = 571 + 3493. What is the remainder when a is divided by 7? 4 Suppose r - 8 = 58. Suppose 4*s = -5*t + r, t - 2*s = -t + 30. What is the remainder when 53 is divided by t? 11 Let j(h) = 11*h**2 - 2*h + 4. Suppose 4*g - 21 + 13 = 0. Calculate the remainder when 86 is divided by j(g). 42 Let d(a) be the second derivative of -7*a**3/3 + 7*a**2/2 + 8*a. What
{ "pile_set_name": "DM Mathematics" }
by -16 -29/16 Calculate 252 divided by -84. -3 Calculate -6060 divided by -10. 606 Divide -15 by -3. 5 What is -44670 divided by -6? 7445 What is 2 divided by 572? 1/286 What is 18 divided by -4? -9/2 What is -3 divided by -109? 3/109 What is -667 divided by 1? -667 What is -2 divided by 137? -2/137 Calculate -1 divided by -511. 1/511 Calculate 0 divided by 58. 0 Calculate 7484 divided by -1. -7484 744 divided by 8 93 -3 divided by -14 3/14 What is -90255 divided by -5? 18051 -3827 divided by -1 3827 19 divided by 605 19/605 Calculate -4 divided by 598. -2/299 What is 12358 divided by 2? 6179 Calculate -18630 divided by -46. 405 What is 394 divided by -4? -197/2 -9636 divided by -2 4818 1621 divided by 3 1621/3 102 divided by 34 3 What is -6 divided by 49? -6/49 33 divided by 6 11/2 Calculate -942 divided by -6. 157 Calculate 1343 divided by -10. -1343/10 Calculate -49 divided by -7. 7 What is -5 divided by 49? -5/49 What is 1534 divided by 3? 1534/3 What is 27 divided by -27? -1 What is 555 divided by -1? -555 What is 23 divided by 34? 23/34 Calculate -3385 divided by 5. -677 Divide -1 by -15. 1/15 0 divided by 12 0 6 divided by 16 3/8 -3 divided by 179 -3/179 -1 divided by -773 1/773 What is -312 divided by -6? 52 Divide -172 by 4. -43 Calculate 110 divided by 22. 5 Divide -110 by -57. 110/57 What is -2 divided by 54? -1/27 What is -17 divided by -277? 17/277 Calculate -181 divided by -1. 181 0 divided by -1135 0 What is -2940 divided by -84? 35 Calculate 0 divided by 28. 0 Calculate 81 divided by 9. 9 1 divided by 357 1/357 Calculate 1 divided by 20. 1/20 -3068 divided by 26 -118 What is -10668 divided by -2? 5334 Calculate -8 divided by 3884. -2/971 What is -10 divided by -266? 5/133 Divide -2 by 8. -1/4 What is 30 divided by -119? -30/119 Divide -1386 by -7. 198 Calculate -2655 divided by -5. 531 Divide 110 by -22. -5 What is 2 divided by -149? -2/149 11 divided by -335 -11/335 What is -1264 divided by 2? -632 What is 70 divided by 1? 70 -103 divided by -5 103/5 -1155 divided by -165 7 -2 divided by 155 -2/155 Calculate -1147 divided by -37. 31 Calculate 6080 divided by 304. 20 4005 divided by 3 1335 Calculate -78 divided by 1. -78 Calculate 3 divided by -293. -3/293 482 divided by -2 -241 Divide -216 by -8. 27 -13634 divided by -17 802 1900 divided by 950 2 52 divided by 37 52/37 -804 divided by -6 134 Calculate 404 divided by 4. 101 Divide -4 by -114. 2/57 What is -19880 divided by 40? -497 Divide 3 by -5292. -1/1764 922 divided by -8 -461/4 Calculate 176 divided by 4. 44 Calculate -41382 divided by 6. -6897 Divide -6492 by 541. -12 Divide 4609 by 1. 4609 What is -536 divided by -8? 67 What is -14 divided by -11? 14/11 What is -105 divided by 1? -105 Divide -1527 by -1527. 1 128 divided by 8 16 Calculate -63 divided by 3. -21 Calculate -2300 divided by -4. 575 Calculate 278 divided by 44. 139/22 Calculate -5110 divided by 5. -1022 -16384 divided by 4096 -4 -257 divided by 1 -257 98 divided by -6 -49/3 Divide 4419 by -6. -1473/2 Divide -41 by -41. 1 What is 27 divided by -9? -3 Calculate -978 divided by 6. -163 -783 divided by 5 -783/5 Divide 672 by -8. -84 2 divided by 654 1/327 Calculate 5566 divided by -242. -23 17 divided by 18 17/18 Divide 3 by 207. 1/69 What is -5 divided by 116? -5/116 Divide 221 by -29. -221/29 Divide 13 by 1140. 13/1140 Divide 83 by -1. -83 124 divided by -2 -62 Calculate 3854 divided by -3854. -1 -5 divided by -5932 5/5932 -6 divided by 167 -6/167 Divide -586 by -1. 586 -1208 divided by 151 -8 Divide 690 by -5. -138 Divide 36 by 2. 18 What is -11125 divided by 445? -25 What is 1332 divided by 12? 111 Calculate -1053 divided by 27. -39 What is -12 divided by 4? -3 51 divided by 3 17 89 divided by -4 -89/4 -16 divided by 92 -4/23 Divide 1345 by -269. -5 Calculate -880 divided by 8. -110 -1584 divided by -16 99 Divide -882 by 4. -441/2 Calculate 55 divided by 5. 11 123 divided by -6 -41/2 3 divided by -205 -3/205 Calculate -36 divided by -9. 4 What is -18 divided by 1269? -2/141 Calculate -450 divided by -3. 150 688 divided by 1 688 What is 3 divided by -75? -1/25 -38 divided by 11 -38/11 141 divided by 3 47 Divide 28 by -4. -7 Divide -568 by 71. -8 475 divided by 475 1 -48 divided by -48 1 What is 36 divided by 38? 18/19 Divide -37 by 10. -37/10 Calculate 2961 divided by 987. 3 -1752 divided by -584 3 What is -91 divided by 6? -91/6 9309 divided by -3103 -3 Divide -54 by 2. -27 Calculate 111 divided by 5. 111/5 -44 divided by 22 -2 Calculate 91 divided by 2. 91/2 What is 198 divided by -66? -3 Divide -307 by 1. -307 What is -828 divided by -18? 46 Divide 1980 by 2. 990 -217 divided by 217 -1 888 divided by 6 148 Divide 598 by -5. -598/5 797 divided by 1 797 -378 divided by -7 54 -8 divided by -141 8/141 What is 46 divided by 757? 46/757 What is 93 divided by -19? -93/19 2994 divided by 499 6 Divide -142 by 6. -71/3 -149 divided by 28 -149/28 -1404 divided by 1 -1404 -19495 divided by -5 3899 Divide -2 by -1128. 1/564 Divide 68 by -22. -34/11 129 divided by 3 43 What is 707 divided by 101? 7 Calculate 296 divided by 8. 37 Divide -226 by 25. -226/25 Divide -32 by 32. -1 Calculate 3388 divided by 5. 3388/5 Divide 810 by 27. 30 Divide -3 by 31. -3/31 Divide -21252 by 924. -23 -2 divided by 26 -1/13 Divide 4536 by -6. -756 26 divided by 2 13 What is -3265 divided by -653? 5 Calculate -4 divided by 42. -2/21 Divide 47 by 4. 47/4 -105 divided by 3 -35 827 divided by 4 827/4 234 divided by 2 117 -138735 divided by -5 27747 3 divided by -73 -3/73 Divide -14 by -1. 14 What is -580 divided by -1? 580 -120 divided by 2 -60 What is 2 divided by 585? 2/585 Calculate -28182 divided by 22. -1281 -16884 divided by 2814 -6 Calculate -284 divided by -15. 284/15 What is -36 divided by 9? -4 2 divided by -44 -1/22 726 divided by 121 6 Calculate 17683 divided by 3. 17683/3 Divide 0 by 634. 0 Calculate 7 divided by -2. -7/2 Calculate -91 divided by -91. 1 198 divided by 66 3 Divide -1425 by 475. -3 Divide 1992 by 4. 498 What is 40 divided by 1? 40 35 divided by -7 -5 What is 337 divided by 60? 337/60 What is 1230 divided by -3? -410 Divide 111 by 6. 37/2 What is 275 divided by 5? 55 Calculate -1488 divided by -496. 3 Divide -32 by 16. -2 Calculate 2412 divided by -4. -603 Calculate 14168 divided by 4. 3542 5709 divided by 1903 3 Calculate 11 divided by -9. -11/9 1135 divided by -227 -5 What is -9 divided by 22? -9/22 What is -49 divided by 93? -49/93 What is -9 divided by -25? 9/25 Calculate 2544 divided by 4. 636 Divide 11 by 2. 11/2 What is -70 divided by -1? 70 Divide -459 by 153. -3 Divide 92 by 6. 46/3 Calculate 109 divided by -6. -109/6 What is -2 divided by -204? 1/102 Calculate 600 divided by -6. -100 Calculate 6 divided by 9. 2/3 What is -1 divided by -57? 1/57 Calculate -93 divided by -31. 3 Divide -15264 by -9. 1696 Divide -4 by -1388. 1/347 Calculate 253 divided by 1. 253 What is 274 divided by -6? -137/3 What is 615 divided by -1? -615 What is 351 divided by 9? 39 Calculate 2806 divided by -122. -23 Calculate 24 divided by -6. -4 What is 6 divided by 2? 3 Calculate -87 divided by -87. 1 Divide -155 by -155. 1 -175604 divided by -4 43901 What is 760 divided by 2? 380 What is -45 divided by 187? -45/187 What is 13181 divided by 269? 49 Divide -327 by -327. 1 -3 divided by 2163 -1/721 What is 4 divided by -333? -4/333 What is -17 divided by 1? -17 Divide -2 by 146. -1/73 5 divided by 205 1/41 Divide -8 by 16. -1/2 366 divided by 122 3 What is 470 divided by 1? 470 106 divided by 7 106/7 Divide -44 by -5. 44/5 Calculate -713 divided by -1. 713 What is -1 divided by 1759? -1/1759 Divide -2 by -1192. 1/596 Calculate 759 divided by 253. 3 Divide -725 by -5. 145 Divide 1 by -2477. -1/2477 7 divided by -12 -7/12 -1170 divided by 18 -65 Calculate -5 divided by 189. -5/189 2 divided by -76 -1/38 650 divided by -5 -130 1078 divided by -98 -11 Divide -1425 by 5. -285 Divide -1 by -88. 1/88 What is -1362 divided by 2? -681 What is 1 divided by -37? -1/37 Calculate -3 divided by 60. -1/20 -166 divided by 13 -166/13 Calculate 1610 divided by 1610. 1 What is -107 divided by -107? 1 Divide 22 by -4. -11/2 Divide 784 by -28. -28 Calculate -249 divided by -6. 83/2 Divide 1520 by 2. 760 Divide -3 by -86. 3/86 -27 divided by -1 27 0 divid
{ "pile_set_name": "DM Mathematics" }
= -c**3 + 3*c**2 + 3*c - 1. Let z(w) = -4*w**3 + 9*w**2 + 8*w - 3. Give 8*y(x) - 3*z(x). 4*x**3 - 3*x**2 + 1 Let n(v) = v**2 + v - 1. Let h(l) = 9*l**2 + 3*l - 4. Give h(c) - 3*n(c). 6*c**2 - 1 Let r be (12/8)/((-9)/(-60)). Let t(y) = -4*y + r*y**2 - 2*y**3 - 5*y**2 + 6*y + 3*y. Let v(i) = 2*i**3 - 6*i**2 - 6*i. Give -6*t(m) - 5*v(m). 2*m**3 Let k(a) = 3*a**2 + 2*a - 2. Suppose 3*b - 9 = -3. Let m(v) = -4*v**2 - 3*v + 3. Calculate b*m(r) + 3*k(r). r**2 Let n(r) = 11*r**2 + 15*r + 15. Let b(u) = 5*u**2 + 11*u + 15. Let v(p) = -15*p**2 - 32*p - 43. Let c(y) = -11*b(y) - 4*v(y). Determine 13*c(i) - 6*n(i). -i**2 + i + 1 Let l(s) = 13*s**2 + 6*s + 6. Let j(i) = -12*i**2 - 7*i - 7. What is -6*j(d) - 7*l(d)? -19*d**2 Let l(s) = -5*s**2. Let u(p) = 2*p**2. Let o = 93 - 101. Determine o*u(g) - 3*l(g). -g**2 Let r(k) = 5*k**2 - 5*k. Let f be 271/6 + 2/(-12). Suppose -4*m = m + f. Let o(x) = -11*x**2 + 11*x. Calculate m*r(l) - 4*o(l). -l**2 + l Let p(w) = -4*w**2 + 4 - 2*w - 2*w**2 + 5*w**2. Let t(g) = -2*g + 0*g - 3*g**2 + 13 - g - g**3 - 4*g. Suppose 4*m = -31 + 3. What is m*p(r) + 2*t(r)? -2*r**3 + r**2 - 2 Let x(c) be the first derivative of 2*c**3 + 5*c + 3. Let g(b) = 11*b**2 + 9. What is -4*g(n) + 7*x(n)? -2*n**2 - 1 Suppose 3*b + 17 = 2*r, 3*r + 0*r - 8 = b. Let y(f) = -4*f**3 - 4*f**2 - 2*f - 2. Let w(m) = -m**3 - m**2 - m - 1. What is r*y(z) - 2*w(z)? -2*z**3 - 2*z**2 Let l(z) be the first derivative of 4*z**3/3 + z**2 + 4*z + 8. Let h be (1 - 0)*(1 + 0). Let b = h - -5. Let k(o) = -7*o**2 - 3*o - 7. What is b*k(x) + 10*l(x)? -2*x**2 + 2*x - 2 Let m(b) = -b**3 + b + 0 - 1 + b**2 + 0. Let f(l) = -2*l**3 + 6*l**2 + 2*l - 3. Let h be (1 + 10/(-1))*(-6)/(-18). What is h*m(j) + f(j)? j**3 + 3*j**2 - j Let u(t) = t. Let j(h) = 2*h + 1. What is -j(y) + 5*u(y)? 3*y - 1 Let a(j) = j**2 - j. Let r = -91 - -89. Let k(s) = s**2 - 5*s + 1. Determine r*a(b) + k(b). -b**2 - 3*b + 1 Let z(f) = -f + 3. Let l be z(-8). Let c(h) = -5*h - 3. Let y(m) = -3 + 7 + 5 + 14*m - 1. What is l*c(r) + 4*y(r)? r - 1 Let y be (-42)/(-10) + (-40)/(-50). Let u(z) = -z**3 + 2*z**2 + 2*z - 2. Let w(k) = -2*k**3 + 5*k**2 + 5*k - 5. Calculate y*u(s) - 2*w(s). -s**3 Let b = -53 + 48. Let q(l) = 2*l**2 - 4. Let m(f) be the third derivative of -f**5/30 + f**3/2 + f**2. What is b*m(w) - 4*q(w)? 2*w**2 + 1 Let o(r) = r + 2. Let s(c) = 3*c + 5. Suppose -17 = -3*j - 5*h, 5*j - h + 21 = 3*h. Let n be -3 + (-4)/(j + -3). Calculate n*s(b) + 5*o(b). -b Let h(o) = -7*o**2 + o - 8. Let a(l) = 13*l**2 - 2*l + 15. What is 6*a(f) + 11*h(f)? f**2 - f + 2 Let c(l) = 16*l**3 - 6*l**2 - 6*l + 6. Let f(v) = 15*v**3 - 5*v**2 - 5*v + 5. Calculate 5*c(x) - 6*f(x). -10*x**3 Let i(o) = -14*o + 8. Let f(l) = -5*l + 3. Let s(j) = -j**3 + 4*j**2 - 5*j + 3. Let u be s(3). Calculate u*i(c) + 8*f(c). 2*c Let p(q) = 4*q**2 - 3*q - 3. Let x(f) = 6*f**2 - 5*f - 4. Give 8*p(h) - 5*x(h). 2*h**2 + h - 4 Let d = 47 + -29. Let o(n) = 3*n**2 - 3*n + 1. Let s(y) = 13*y**2 - 13*y + 4. What is d*o(c) - 4*s(c)? 2*c**2 - 2*c + 2 Let t(b) = 20*b - 3. Let w(h) = -1. Give -t(c) + 5*w(c). -20*c - 2 Let w be (1 + 6/(-4))*0. Let s be -2 + 4 - (1 + w). Let r(u) = -u - 5. Suppose -4*j + 4 + 4 = 0, 4*j - 3 = z. Let d(q) = 1. Determine s*r(a) + z*d(a). -a Let c(v) = -16*v - 8. Let r(d) = 15*d + 7. Calculate 6*c(x) + 7*r(x). 9*x + 1 Let k(w) = w**3 - w**2 - w + 1. Let h(y) = 13*y**3 - 4*y**2 - 4*y + 4. Calculate 3*h(z) - 12*k(z). 27*z**3 Let x(j) = 10 + 96*j**2 - 83*j**2 - 17*j - 1. Let d(n) = -3*n**2 + 4*n - 2. Let q(v) = -v**3 - 4*v**2 + 3*v + 3. Let p be q(-4). Determine p*d(h) - 2*x(h). h**2 - 2*h Let x(t) = -t**2 + 3*t + 1. Let v(z) = 2*z**2 - 5*z - 1. Let i(u) = u - 7. Let s = -9 + 19. Let r be i(s). What is r*v(j) + 5*x(j)? j**2 + 2 Let r(k) = 3*k**2 + 18*k. Let u(h) = h**2 + 5*h. Let m be 25/5 + -4 - 6. What is m*r(g) + 18*u(g)? 3*g**2 Let m(r) = 2*r**2 - 2*r - 8. Suppose -f - 3*f = 5*c - 1, c - 29 = 4*f. Let o(z) = -1. Calculate f*o(k) + m(k). 2*k**2 - 2*k - 2 Let w(a) = -a. Let h(c) = -2*c. Suppose 22 = 3*z - z + 4*b, -z - 5*b = -23. Suppose 0*k = -z*k + 6. Calculate k*h(f) - 5*w(f). f Let v(y) = 16*y**3 - 14*y**2 + 14*y. Let u(f) = -f**3 + f**2 - f. Give -70*u(b) - 5*v(b). -10*b**3 Let w(h) = 26*h**3 + 17*h**2 - 17*h - 6. Let o(k) = -9*k**3 - 6*k**2 + 6*k + 2. Determine 17*o(d) + 6*w(d). 3*d**3 - 2 Let a(s) = -2*s + 3. Let z(l) = 8*l - 13. What is -26*a(h) - 6*z(h)? 4*h Let j(a) = -a**3 + 4*a**2 + 1. Let i(y) = -y**3 + 5*y**2 + 1. Let w be (-182)/42 + 4/(-6). Let k be (-1)/((w - -1)/(-12)). Give k*i(l) + 4*j(l). -l**3 + l**2 + 1 Suppose 2 = -2*c, -4*w = -5*c + 4*c - 17. Let p(x) = -3*x - 2 + 1 - 1. Let f(g) = -3*g + 5 + g + 9*g. What is w*f(a) + 10*p(a)? -2*a Let a(n) = -n - 3. Let y(g) = -g - 2. Let u be (2*(-12)/(-8))/1. What is u*y(h) - 2*a(h)? -h Let r(w) = 2*w - 2. Let k(f) = 1. Let i(l) = l**2 - 7*l - 13. Let o be i(9). Let h(d) = d**3 - 4*d**2 - 7*d + 9. Let v be h(o). What is v*r(p) - 3*k(p)? -2*p - 1 Let h(s) = s**2 - 5*s + 3. Let c be h(4). Let t(j) = -j**2 - j. Let a = -38 + 28. Let k(l) = 8*l**2 + 10*l. Calculate a*t(x) + c*k(x). 2*x**2 Let p(h) = -2*h - 2. Let o(x) = -x - 8. Let a be o(-7). Let z be ((-1)/a + 2)/1. Suppose 4*m - m = z*s + 9, 0 = -m - 1. Let w(i) = 1. Give s*w(f) - p(f). 2*f - 2 Let y(h) = 2*h**3 + 2*h + 4. Let t(u) = 6*u**3 - u**2 + 6*u + 13. Give -2*t(s) + 7*y(s). 2*s**3 + 2*s**2 + 2*s + 2 Let a(h) = -h. Let i(t) = -7*t. Suppose -2*f + 2*z = 3*f + 8, -2*f - 4*z - 8 = 0. Let r = f + 6. Let n be 1/2 - 26/r. Give n*a(u) + i(u). -u Suppose t - 3*g + 7 = 0, -2*t - t - 3*g = 9. Let p(x) = x**2 + 2*x. Let r(m) = 5*m**2 + 9*m. Calculate t*r(c) + 18*p(c). -2*c**2 Let k(q) be the first derivative of -q**4/4 - q**3/3 + q + 10. Let f(b) = b**3 - 2*b**2 + 2*b + 1. What is -f(i) + k(i)? -2*i**3 + i**2 - 2*i Let m(f) = -f + 2. Let n = -2 - 2. Let t(i) = -i + 2. Determine n*m(q) + 5*t(q). -q + 2 Suppose x = -0*x - 2. Suppose 0 = 21*l - 29*l - 40. Let n(c) = 9*c - 5. Let u(p) = -4*p + 2. What is l*u(g) + x*n(g)? 2*g Let i(q) = -16*q - 6. Let l(t) = -2 - 4 + 5 - 16*t + 13*t. Let y be (1/2)/1*-22. Give y*l(p) + 2*i(p). p - 1 Let l(c) = -14*c**2 + 17*c + 20. Let k(d) = 5*d + 2. Let r be k(3). Let n(z) = 5*z**2 - 6*z - 7. Give r*n(g) + 6*l(g). g**2 + 1 Let s(b) = -b**3 - b - 1. Let a(q) = 4*q**3 - 10*q**2 + 6*q + 6. What is -a(v) - 6*s(v)? 2*v**3 + 10*v**2 Let n(v) = 30*v + 21. Let y(l) = 3*l + 2. Suppose 0*u + 3*w = 5*u + 90, 15 = -3*w. What is u*y(o) + 2*n(o)? -3*o Let s(j) = -4*j - 4. Suppose 0 = -5*m + 3*m + 24. Let i be 6/m - 2/4. Suppose c + c - 10 = i, 0 = o - 5*c + 19. Let h(x) = -5*x - 5. Calculate o*h(t) - 7*s(t). -2*t - 2 Let h(v) = -2*v + 6. Let t(i) = 3*i - 32. Let o(b) = b - 11. Let j(f) = 17*o(f) - 6*t(f). Calculate 5*h(u) - 6*j(u). -4*u Let w(n) = -n. Let s(p) be the third derivative of -7*p**4/24 - p**3/2 + 6*p**2. Let v(j) = -j - 1. Let o(f) = -2*s(f) + 6*v(f). Determine 3*o(y) + 21*w(y). 3*y Let w(j) = -j**2 - j + 1. Let l(a) = 6*a**2 - 18*a + 18. Calculate l(q) - 18*w(q). 24*q**2 Let o(j) = j**2 - 4. Let w(m) = -5*m**2 + 7*m - 2. Let s(t) = -2*t**2 + 3*t - 1. Let c(q) = -7*s(q) + 3*w(q). Calculate -4*c(f) - o(f). 3*f**2 Let k(j) = -j**3 - j + 1. Let i(o) = 47*o**3 - 2. Determine -i(f) - 2*k(f). -45*f**3 + 2*f Let c(a) = -a**2 + 4*a + 2. Let o be c(4). Suppose -2*l - o*l = 28. Let s(n) = 6*n**2. Let t(i) = -3 + 5*i**2 + 3. Give l*t(k) + 6*s(k). k**2 Let q = 23 + -42. Let y = 13 + q. Let x(i) = -5*i + 2. Let f(p) = p + 1. Let n(o) = -5*o - 1. Let u(g) = -4*f(g) - 2*n(g). Determine y*u(z) - 7*x(z). -z - 2 Let s(d) = d. Suppose y + 4 = 1. Let h(q) = q - 1. Suppose 4*r = a + 2, r = 3*a - 0*a - 5. Suppose 0*n + a = n. Give n*h(t) + y*s(t). -t - 2 Let m(o) = -2*o**2 + 5*o - 28. Let u(y) = -y**2 + 3*y - 19. What is -5*m(q) + 8*u(q)? 2*q**2 - q - 12 Let n(l) = l**2 - l. Let s(h) = -14*h**2 - 8*h + 2. Determine -8*n(k) + s(k). -22*k**2 + 2 Let x(v) = -2*v**2 - v + 1. Let y(p) = p**2 - 1 - 2*p**2 + 2 + 4*p - 5*p. What is 2*x(m) - 2*y(m)? -2*m**2 Let s(h) = -4*h - 7. Let p(n) = n + 1. Determine 2*p(f) + s(f). -2*f - 5 Let b(w) = w**3 + 8*w**2 + 5*w - 9. Let g be b(-7). Let t(c) = c**2 + 1. Let u(p) = p**2 + 1. Give g*u(z) - 4*t(z). z**2 + 1 Let u(k) = 3*k + 2. Let i be (-32)/(-10)*(-35)/(-14). Let g be
{ "pile_set_name": "DM Mathematics" }
lculate n(f(p)). -304*p**4 Let f(g) = -2*g**2. Let m(c) be the second derivative of 29*c**7/2520 - c**4/4 - c**2 - 27*c + 2. Let t(v) be the third derivative of m(v). Determine t(f(a)). 116*a**4 Suppose 7*v + y = 3*v + 381, 0 = -3*y + 3. Let g(a) = -v + 184 - 87 + 18*a. Let o(n) = n. Determine g(o(k)). 18*k + 2 Let h(u) = -38*u. Let n(d) be the second derivative of d**6/180 + d**3/6 - 6*d**2 + 66*d. Let z(k) be the second derivative of n(k). Determine z(h(p)). 2888*p**2 Let p(z) = 12. Let a(g) = -2*g + 60. Let i(k) = a(k) - 5*p(k). Let t(u) = 5*u + 7. Calculate t(i(v)). -10*v + 7 Let t(y) = -17*y - 6. Let d(q) = 51987*q. Calculate d(t(f)). -883779*f - 311922 Let i(t) = -5138*t - 5142*t - 5132*t + 20542*t - 5134*t. Let u = 1 - -6. Let m(z) = 7 + 4*z - u. Give m(i(l)). -16*l Let l(m) = -72*m. Let d(b) = 2*b**2 - 24*b + 6. Let o be 0 + (14 - 7) - 1. Let u(g) = 6*g**2 - 68*g + 17. Let c(r) = o*u(r) - 17*d(r). Calculate c(l(j)). 10368*j**2 Let b(y) = -5*y. Let v(r) = 2169*r - 526. What is v(b(m))? -10845*m - 526 Let m(g) = 28*g**2. Let y(l) = -39100*l + 78225*l - 39109*l. Determine y(m(k)). 448*k**2 Let z(m) be the second derivative of 26*m**3/3 - 288*m - 2. Let k(q) = -16*q. Determine k(z(t)). -832*t Let x(j) = 28 - 33*j - 2*j - 15 - 9. Let w(d) = 29*d**2. Give x(w(i)). -1015*i**2 + 4 Let d(r) = r. Let h(p) = -3971*p + 1145. What is h(d(n))? -3971*n + 1145 Let f(x) = -102*x**2 + 193*x**2 - 319*x**2. Let n(r) = 10*r. Determine n(f(t)). -2280*t**2 Let n(v) = -v**2 + 105. Let g(l) = 37*l - 6547. Give g(n(t)). -37*t**2 - 2662 Let a(h) = -5354*h + 6 - 6 + 5375*h. Let m(f) = 16*f**2. Calculate a(m(l)). 336*l**2 Let h(l) = -16780*l + 2. Let q(k) = 6*k + 3. Determine h(q(x)). -100680*x - 50338 Let f(z) = 5*z + 6 + 13 - 19. Let o(p) be the first derivative of 4*p**3/3 + 503. Calculate o(f(v)). 100*v**2 Let f(w) = -65*w**2 - 2*w + 2. Let v(r) = 200 - 362*r - 243*r - 40 + 436 - 19635*r**2 + 9. Let b(t) = -1210*f(t) + 4*v(t). Let u(p) = 3*p**2. Calculate u(b(y)). 36300*y**4 Let j = 25 - 20. Let t(i) = -4*i + j*i + 2*i + i. Let a(c) = 5*c + 284 - 284. Calculate t(a(v)). 20*v Let j(n) = -16*n. Let s(v) = 33*v**2 - 12*v. Let d(y) = 1914*y**2 - 693*y. Let t(l) = -4*d(l) + 231*s(l). Give t(j(h)). -8448*h**2 Let z(f) = 68*f**2 - 1. Let r(m) be the second derivative of 17*m**3/3 - 279*m + 2. Calculate r(z(c)). 2312*c**2 - 34 Let s(q) = 4*q**2 + 30*q - q**2 - 63*q + 33*q. Let r(d) be the third derivative of 13*d**5/60 - 11*d**2. Calculate r(s(x)). 117*x**4 Let u(r) = 7*r**2. Let m(c) = 18*c**2 - 2*c. Let j(i) = -8*i**2 + i. Let s(p) = 4*j(p) + 2*m(p). Give s(u(v)). 196*v**4 Let x(g) be the third derivative of g**6/120 - 14*g**3/3 + 16*g**2. Let u(o) be the first derivative of x(o). Let s(q) = 11*q - 11*q - 4*q**2. Give s(u(t)). -36*t**4 Let q = 912 + -467. Let v(o) = -q*o - 4*o**2 + 445*o. Let s(h) = 4*h. Calculate s(v(w)). -16*w**2 Let s(f) = 24642*f**2. Let p(z) = 492*z - 3. What is p(s(l))? 12123864*l**2 - 3 Let b(c) = -10*c**2 + 50*c**2 - 12*c**2 - 13*c**2 - 22*c**2. Let r(g) = 3*g**2 + 87. What is b(r(m))? -63*m**4 - 3654*m**2 - 52983 Let u(z) = 5*z. Let l(m) = -134*m + 10. Let c(v) = 2*v - 3. Let i(r) = 4*c(r) + l(r). Give u(i(k)). -630*k - 10 Let j(i) = -15*i. Suppose 496*o = 488*o + 56. Let w(c) = -c**2 + 5*c + 2. Let l be w(5). Let r(u) = -l*u + 10*u - o*u. What is r(j(m))? -15*m Let i(c) = 226 - 226 + 0*c - 2*c. Let h(z) = -z. Let w(a) = 3*h(a) - 2*i(a). Let k(g) = -43*g + 2. Determine w(k(x)). -43*x + 2 Let k(n) = -1093*n - 214*n**2 + 1093*n - 24*n**2. Let b(l) = 4*l**2. Calculate b(k(t)). 226576*t**4 Let q(y) = 278510544*y. Let p(s) = 4*s**2. Give p(q(c)). 310272492476703744*c**2 Let y(p) = 2*p**2 + 405414. Let n(v) = 2*v**2. Calculate y(n(j)). 8*j**4 + 405414 Let l(x) = -33*x**2. Let j(c) = -34*c - 638. Let i(z) = 2*z + 29. Let r(q) = 132*i(q) + 6*j(q). What is l(r(d))? -118800*d**2 Let n(b) = 17*b. Let p(k) = -2759*k - 1 + 2827*k + 2 - 1. What is n(p(a))? 1156*a Let l(g) = 12*g**2. Let o(j) = j**3 - 3*j**2 - 8*j + 18. Let q be o(4). Let b(n) = 3*n + n + 0*n - q*n. Determine l(b(z)). 48*z**2 Let d(u) = 2*u. Let k(o) = 8*o - 108. Let x(m) = -9. Let a(r) = -k(r) + 13*x(r). What is a(d(h))? -16*h - 9 Let v(z) = -14*z. Let f(d) = -142 + 142 + 7*d. Let k(q) = 3*q - 1 + 1. Let p(l) = 4*f(l) - 9*k(l). Give p(v(y)). -14*y Let r(a) = 56743*a**2. Let n(b) = -171*b**2. Calculate n(r(c)). -550580336379*c**4 Let u(i) = -301*i + 6. Let v(x) = 22. Let o(h) = -h - 110. Let c(f) = -2*o(f) - 10*v(f). Determine c(u(t)). -602*t + 12 Let k(d) = -d**2. Let l be (-1 - 9/(-27))/((-2)/573). Let u(x) = -252*x - 140*x + 109*x - l*x. Give k(u(i)). -224676*i**2 Let g(h) = 2*h - 8. Let m(b) = -285*b**2 - 7*b + 27. Let a(z) = -123*z**2 - 3*z + 14. Let o(i) = -7*a(i) + 3*m(i). Calculate o(g(d)). 24*d**2 - 192*d + 367 Let y(u) = -264 - 275 + 3*u + 539. Let f(r) be the second derivative of -7*r**4/3 + 7*r - 8. Determine y(f(j)). -84*j**2 Let z(f) be the second derivative of -f**5/30 + 35*f**3/3 - 7*f - 2. Let a(v) be the second derivative of z(v). Let p(r) = 73*r**2. Determine a(p(m)). -292*m**2 Suppose -4*l - 3*u + 11 = 0, -55*l - u = -58*l + 5. Let i(k) = -4*k**l + 3*k**2 - k**2 - k**2. Let p(t) = -40*t. Calculate i(p(r)). -4800*r**2 Let l(p) = 12*p**2 + 12*p - 12. Let o(t) = -25*t**2 - 22*t + 22. Let n(d) = -11*l(d) - 6*o(d). Let y(w) be the first derivative of w**3/3 + 4. What is y(n(b))? 324*b**4 Let o(z) = -192581*z. Let l(q) = -6*q. What is l(o(p))? 1155486*p Let z(g) = 23*g**2. Let v(c) = -7919*c. Give v(z(j)). -182137*j**2 Let y(b) = b**2 - 33*b + 85. Let u be y(32). Let m(h) = -u*h**2 + 165*h**2 + 95*h**2. Let a(i) = i**2. Determine m(a(k)). 207*k**4 Let o(b) = -2*b**2. Let y(l) = 192302659*l. What is o(y(d))? -73960625316940562*d**2 Let d(b) = -13*b - 282. Let z(p) = -3*p**2 + 24*p - 16. Let n(s) = 7*s**2 - 54*s + 36. Let u(t) = -4*n(t) - 9*z(t). Determine u(d(f)). -169*f**2 - 7332*f - 79524 Let z(s) = 13*s. Let d = 267 + -265. Let b(x) = -15*x - 17*x - 13*x - d*x**2 + 45*x. Give b(z(n)). -338*n**2 Let z(a) = 2 - 7 + 1 + 3 + 13*a**2. Let k(m) be the second derivative of m**3/3 - 22*m. Determine k(z(s)). 26*s**2 - 2 Let l(p) = 3*p**2 - 6. Let c be -19 + 19 + 0 - -4. Let u(g) be the third derivative of 0*g**3 + 0 + 1/12*g**c + 0*g + 9*g**2. Give l(u(x)). 12*x**2 - 6 Let n(c) be the third derivative of -c**5/20 - 22*c**2 + 1. Let w be (-4 + (-2 - -8))*(-10)/(-4). Let z(h) = 4*h**2 - w*h**2 - 8*h**2. Calculate n(z(o)). -243*o**4 Let a(m) = -m**2. Let x be 2/(-52)*-74 - (-10)/65. Let h(c) = -x*c + c - 11*c + 3*c. Give a(h(y)). -100*y**2 Let o(u) = 246831*u. Let z(w) = -39*w**2 + 4*w. Calculate o(z(f)). -9626409*f**2 + 987324*f Let v(t) be the second derivative of t**6/360 + t**4/6 + 25*t**2/2 + 42*t. Let z(r) be the third derivative of v(r). Let b(x) = -25*x**2. Determine b(z(k)). -100*k**2 Let j(b) = -54*b - 442. Let v(c) = c**2 - 51. Determine v(j(q)). 2916*q**2 + 47736*q + 195313 Suppose 0 = 178*l - 175*l - 198. Let c(r) = -63*r - l*r + 127*r. Let f(d) = -37*d - 1. Calculate c(f(t)). 74*t + 2 Let h(j) = -2176*j**2. Let b(a) = 38*a**2 + 78*a. Let u(o) = -6*o**2 - 13*o. Let c(l) = -b(l) - 6*u(l). Determine h(c(i)). -8704*i**4 Let h(x) = 2*x**2 + 285*x - 285*x. Let s be (21/56)/(6/(-20))*-4. Let a(m) = -8*m**2 - 2*m**2 - 5*m**2 - s*m**2. Give h(a(g)). 800*g**4 Let a(q) = -20*q**2. Let m(b) = b**3 + b**2 - 2*b + 2212. Let k be m(0). Let j(t) = k - t - 2212. Give a(j(w)). -20*w**2 Let n(w) be the first derivative of -45*w**2/2 - 18*w + 52. Let z(g) = -3*g - 1. Let t(l) = n(l) - 18*z(l). Let a(h) = 4*h**2. What is t(a(v))? 36*v**2 Let j(i) = -72*i**2 + 108*i - 36. Let l(s) = s**2 - 3*s + 1. Let u(h) = -j(h) - 36*l(h). Let d(p) = 367*p - 2*p**2 - 367*p. Calculate u(d(a)). 144*a**4 Let w(n) = 37*n**2. Let s(h) be the first derivative of 91*h**3/3 + 1350. Give s(w(u)). 124579*u**4 Let g(n) = -3 + 63017*n**2 + 3 - 63018*n**2. Let i(l) = -2562*l. Calculate g(i(a)). -6563844*a**2 Let a(y) = -7143378*y**2. Let j(x) = -3*x. Calculate a(j(k)). -64290402*k**2 Let z(p) = -176*p. Let m(l) be the first derivative of 0*l + 0*l**2 - 231 + 4/3*l**3. Determine m(z(x)). 123904*x**2 Let l(d) = d**2. Let g(p) = 5438*p. Let k(y) = -6487432*y. Let m(u) = -2387*g(u) - 2*k(u). What is m(l(v))? -5642*v**
{ "pile_set_name": "DM Mathematics" }
(b) m (c) -0.1 c Suppose 5*u - 9 = 1. Let d be u/(-7) - 12/(-189). Let i = -0.05 + -2.95. Which is the closest to 0? (a) i (b) d (c) 1 b Suppose -1 + 0 = p. Let m = 1 - 1.9. Let u = m + 0.7. What is the closest to p in -4, u, -2/9? -2/9 Let v = -0.18 - -0.17. Let m = -1 - -1.09. Let t = v - m. Which is the nearest to t? (a) -3/5 (b) 5 (c) 1/6 c Let i = -18 - -15. Which is the closest to 0? (a) i (b) -4 (c) -2 c Let d be ((-1)/3)/((-5)/(-5)). Let x = -12 - -7. Let c be 2/(-5)*(-6 + 1). What is the nearest to d in c, x, -0.4? -0.4 Suppose 0 = 2*w + w - 6. Which is the nearest to -1/11? (a) w (b) -1 (c) 1 b Let q(o) = -o**3 + 8*o**2 + 8*o + 12. Let k be q(9). Suppose k*l = -5 - 10. What is the nearest to 2 in -0.4, l, 3/5? 3/5 Let z = 1.1 + -6.6. Let u = -5 - z. What is the nearest to 0 in u, 4, 0? 0 Let y be 8/(-20) + 8/(-5). Let n be y/9 - (-152)/36. What is the nearest to 1 in -2/7, n, -0.1? -0.1 Let q = 2 + -1.8. Let t = q - -0.8. Let d = 153 + -152.8. Which is the nearest to t? (a) 1 (b) -4/7 (c) d a Let t = 94/21 - 36/7. Let a = -1.9 - 0.1. Let c be -2 - 1/((-20)/38). What is the closest to 0.2 in a, t, c? c Let h be (-1)/(-3)*12/(-8). Let m = -2.5 - -0.5. Which is the nearest to h? (a) 1/5 (b) 0.1 (c) m b Let o be (-147)/(-28) - 1*4. Which is the closest to -5? (a) -5 (b) 5 (c) o a Let q = -13 - -15. Let u = -0.5 - -0.5. What is the nearest to 0 in u, 2/9, q? u Let z = 4 + -1. Let i be (-15)/(-72)*15 + -3. What is the nearest to -1 in -1/7, z, i? -1/7 Let y be ((-4)/(-18))/((-2)/(-3)). Let o = -2.4 - 2.6. Which is the closest to 0? (a) o (b) -3 (c) y c Let m = 12.1 - 12. What is the closest to m in -1/6, 0.5, -0.1? -0.1 Let b = 4 - 3.9. Suppose -4*a + a - 7 = 4*i, 4*i = 2*a - 2. What is the nearest to 0 in 5, b, i? b Let l = -6 + 4. Let g = 0.3 - -0.7. Suppose 0 = j - 3*n + 9, 1 - 17 = -4*j - n. Which is the closest to g? (a) j (b) 0 (c) l b Let g = -17/4 - -97/20. What is the nearest to -1/3 in 0.3, g, -0.5? -0.5 Let m = -0.1 - -0.2. Suppose 3*n - 5*f = -13, -10*n + 5*f = -5*n + 15. Which is the nearest to 2/3? (a) 0.2 (b) n (c) m a Let a = -0.2 + 0.4. Let p = -11.8 - -13. Let z = a - p. What is the nearest to -1 in z, -4, 1? z Let n = 1.06 - -1.94. Let x = -3 + 5. What is the nearest to x in -4, n, 5? n Let s = 19/121 - -3/121. Let m = -14 - -13.8. What is the closest to m in 1/9, s, 4? 1/9 Let r(t) = -t**3 - 3*t**2 - 2*t - 4. Let x be r(-3). Suppose 3*d = -i - 3, -5*d - 2*i - 4 = x. Let k = 4.8 + -5. What is the nearest to d in k, -3, -0.5? k Let m = 0.34 - 0.04. Let g = -8 + 5. What is the nearest to -2/7 in m, -3/2, g? m Let z(i) = -i + 4. Let h be z(2). Suppose -6*g = -h*g. Let p be -1 + (10/14)/1. Which is the nearest to -2/5? (a) p (b) g (c) -0.5 c Suppose 2*k - 5*k + 15 = 0. Let d = -2.4 - -1.4. What is the nearest to d in k, 0, 3/2? 0 Let o = -422/5 + 84. What is the closest to 5 in -0.1, o, 0.1? 0.1 Let h = 5/9 + -23/36. What is the nearest to 1 in 2, h, 3? 2 Let w = 5 + -10. Which is the nearest to 1/3? (a) w (b) 0.9 (c) -2 b Let y = 1.8 + -3.6. Let f = y - -2. Suppose 2 = -q - 0*q. Which is the closest to q? (a) f (b) -1/2 (c) -4 b Let p = 0.9 - 1.6. Let z = p - -3.7. Suppose -2*u = 2*y - 12, -4*u = 2*y + 10 - 24. Which is the closest to 0.1? (a) 2/3 (b) u (c) z a Suppose h + 24 = 22. What is the nearest to 0.1 in -1/2, -0.4, h? -0.4 Let s = 6.6 - 6.5. Suppose v = -v + 4. What is the nearest to s in 0, -0.3, v? 0 Let t = 0.3 - -0.1. Let i = -20 + 39/2. Let s = 0.5 + -0.4. Which is the nearest to 0? (a) s (b) t (c) i a Let p be (-2)/(-7)*(1 - (-15)/(-6)). What is the closest to -1/6 in p, -0.2, -6? -0.2 Let q = -39 - -57. Let n = q - 18. What is the closest to n in 2, 1, -4? 1 Let c = -0.08 + -0.02. Let b = -7 - -12. What is the closest to c in b, 0.2, 2/15? 2/15 Let o(x) = 0*x - 7*x + 8*x - 18. Let d be o(13). Which is the nearest to -1? (a) -0.2 (b) d (c) 0 a Let a = -2/7 - -4/7. Let f be 4/2 - (-36)/(-19). Let z be 63/(-28) - (-3)/(-4). What is the closest to a in z, f, 0? f Suppose -14 = -l + 5*u, -4*l - u - 2*u = 13. What is the nearest to -0.1 in -2, l, -1/5? -1/5 Suppose 16*u = 13*u. What is the closest to u in 2/7, 2/9, 1? 2/9 Suppose 5*g = 4*g. What is the closest to -2 in 4, -2, g? -2 Let x = -30.6 + 31. Suppose -2*s + 4 - 5 = -5*u, 0 = 2*s - 4*u. Which is the closest to -0.2? (a) -5 (b) x (c) s b Let f = -0.9 - 2.1. Let y = 16 - 11. Which is the nearest to 0.1? (a) -1/3 (b) y (c) f a Let v = -0.6 - -0.2. Let j = 3.1 + -3. What is the nearest to j in v, 0.2, -0.3? 0.2 Let y = -1.1 - -0.1. Let u(f) = 8*f**3 - 4*f**2 - 3*f - 3. Let q be u(-3). Let g = 2212/9 + q. Which is the nearest to y? (a) 3 (b) g (c) 1/7 b Let a = 2.22 + -0.22. What is the closest to -2/5 in 4/19, a, 0.2? 0.2 Suppose 0 = -i + 5*p - 10, 0*p = -4*i - 4*p + 8. Let w = -0.7 + -4.3. Let t = 0.06 - -1.94. What is the closest to -1 in i, w, t? i Let o = -44.8 - -45. What is the nearest to 0.2 in 2, o, 0.3? o Let i = -0.3 - 0.7. What is the closest to 1/4 in 1/26, i, 5? 1/26 Let z = -22 - -22. Let j = 6 + -1. Let r be (15/9)/(2/(-6)). Which is the nearest to 0.2? (a) r (b) j (c) z c Let s = 3/5 - -1/15. Which is the nearest to -3/4? (a) s (b) -1/7 (c) -3 b Let n = 54 + -53.7. Which is the nearest to 2/9? (a) -1 (b) -0.4 (c) n c Let s = -5 + 5.1. Let f = -1/120 - 233/840. What is the closest to f in 2/9, s, -3? s Suppose 5*y - 2*g + 4*g + 6 = 0, 3*g = 5*y + 16. Which is the nearest to 1/3? (a) -3/4 (b) -2/3 (c) y b Suppose -3*k - 29 = 4*m, 2*k + 0*m - 4 = 2*m. What is the closest to -1 in 0.106, 1/2, k? 0.106 Let t = 0.04 - -0.06. What is the nearest to t in 24, 4, 0? 0 Let i = -49/57 - -10/19. Suppose 0*j + 6 = 3*j. What is the nearest to 1 in -3, j, i? j Suppose -v = 1 - 4. Let x(t) = t + 7 - 3 - 8 + 0. Let h be x(v). Which is the nearest to h? (a) -0.2 (b) 3 (c) 0 a Let c = -2.8 - -3. Let j(m) = m**3 + 11*m**2 - 14*m - 29. Let p be j(-12). What is the closest to c in -1/4, p, -0.1? -0.1 Let f be 5 + (-198)/21 - -4. Which is the closest to -1/2? (a) f (b) 5 (c) 6 a Suppose -4*u + 60 = -3*u. Let q be 10/u + (-4)/6. What is the closest to q in 2, 3, -2? -2 Let v = -0.2 - -1.8. Let z = 2 - v. What is the closest to -3 in 3, z, -2? -2 Let d = 62 - 61.5. Let n(h) = -h + 3. Let z be n(3). What is the closest to z in d, -0.3, 3? -0.3 Let b = 4 - 3.9. Let x = 0.4 + b. What is the nearest to -0.1 in 0.07, x, -2? 0.07 Let r = -1 - -1. Let a = -0.1 - r. Let c = a - -0.1. What is the closest to c in 4, 2, 0.5? 0.5 Let h = 0.02 - -0.18. What is the nearest to h in 3/2, 4, 1/4? 1/4 Let s = -3.22 - 0.88. Let g = 0.9 - s. Let t = -4 + 1. Which is the nearest to 0? (a) t (b) 0 (c) g b Let f be (-2)/2 + (-1)/(-6). Let w = -2/235 - -253/2115. Which is the nearest to -1/2? (a) f (b) w (c) -1 a Let v = 0.12 + 8.88. Let a = 9.5 - v. What is the closest to 0 in -5, -4, a? a Let k = -25.5 - -25.2. Let l = -1.5 - -1. Let p = -5/3 - -13/9. Which is the nearest to p? (a) l (b) -1/6 (c) k b Let v be -3 + ((-4)/34)/((-24)/588). What is the closest to -1/3 in 5, v, -3/7? -3/7 Let q = 44/5 + -318/35. What is the closest to 0 in -2/9, q, 0.3? -2/9 Suppose f - 15 = 6*f. Which is the closest to -1/5? (a) 5 (b) -2 (c) f b Let d = 0.63 + -0.33. What is the nearest to -0.1 in d, -3/7, -12/13? -3/7 Let m = -2.4 - -1.4. Let y be (2/(-15))/((-3)/5). What is the closest to y in 4/3, 1/3, m? 1/3 Let r = 92 + -92.2. Suppose h + h = 0. What is the closest to h in -1/3, r, -3? r Let s = 103/3 - 35. Which is the closest to -4? (a) 0.2 (b) s (c) 4/5 b Let i = -0.02 - -0.02. Let o = -16 + 16. Let h = -51 + 356/7. Which is the closest to o? (a) 2 (b) h (c) i c Let s = -76.4 - -84. Let a = s - 7. Let d = a + -2.6. What is the nearest to d in -0.3, 1, 0? -0.3 Let l(m) = m**2 + 30*m + 56. Let x be l(-28). Which is the nearest to x? (a) 2 (b) -0.1 (c) -0.2 b Suppose -4*s + 9*s + g = -7, g = -4*s - 5. Let q be ((-70)/56)/((-9)/(-4)). Let v = q - 17/18. Which is the closest to 1? (a) -0.1 (b) s (c) v a Let o be (-2)/(-9) + 34/9. Let t be o/(-20) + (-192)/(-10). Let c = -79/4 + t. What is the closest to -1 in c, -2/7, -0.5? c Let q = -19/6 - -79/24. Let o = 12 - 12.4. Which is the closest to 2/5? (a) -3
{ "pile_set_name": "DM Mathematics" }
-1328? -1328 Let u(t) = -t**2 + 15*t - 3. Let s(p) = 8*p - 4. Let i be s(2). Let w be u(i). Let o = 1489 - 1457. Which is smaller: o or w? o Let l be (124/(-266))/((-495)/(-693)). Which is smaller: -1 or l? -1 Let x = -64.45 - -62. Let o = 3.05 + x. Is -4/3 greater than o? False Suppose -2 = -t - 2. Suppose -7*q + 11*q = t. Let s be (3 + q)*(-2 + -17). Is s >= -57? True Let g be 42316/21726 - 24/27. Suppose 3*o + 0*o = 0. Which is smaller: o or g? o Let d = -1.66 - -1.321. Let o = d + 0.439. Which is smaller: o or 1/14? 1/14 Let z = 73 - 49. Let n(w) = 3*w + 40. Suppose 2*u = -2*k - 6, 5*u + k - 5*k + 33 = 0. Let c be n(u). Which is greater: z or c? c Let a be (-1)/((-1)/(-1)) + (-5)/(-3). Let c = -244 + 243.457. Is a bigger than c? True Let d = -187 - -193. Let m be (28/(9 + -2))/d. Which is greater: 15/2 or m? 15/2 Let l(d) = -d**3 - 3*d**2 + 143*d + 290. Let p be l(-2). Is 87/65 > p? True Let m = -17369 + 17494. Which is smaller: 866/7 or m? 866/7 Suppose l - 5*a - 7 = 37, 55 = 2*l + a. Suppose 0 = -9*u - l + 2. Do -25/9 and u have the same value? False Let l be 45*(684/10761 + 1/(-17)). Which is smaller: 0 or l? 0 Suppose 3*d - 6*d = 4*p - 77, -2*p = -d + 39. Suppose y = s + 2, 3*s + y + d = -y. Let f be (2/12)/((21/(-18))/s). Which is smaller: f or 1/8? 1/8 Suppose 68*c + 39 = 55*c. Suppose 10*d + 32 = -28. Is c > d? True Suppose -5 = l, -10 = -3*o + 7*o + 2*l. Which is greater: -632 or o? o Let p(g) = -38*g - 14782. Let h be p(0). Is -14781 equal to h? False Let s = -2858.9 + 2859. Which is smaller: -1845/4 or s? -1845/4 Let z be (-180550)/(-75) + (-3)/1. Let d = z - 2433. Are -30 and d equal? False Let i(y) = -2*y + 15. Let g be i(7). Let j be ((-24)/23)/g - -1. Suppose -5*k = 12 - 7. Which is bigger: j or k? j Let m = 2/87781 - -26158720/790029. Which is smaller: -7 or m? -7 Let f be (-20)/(-4) - (-14)/((-6)/3). Let h be 7 + -17 + 3 + -1. Let s(i) = i**2 + 9*i + 6. Let a be s(h). Do a and f have the same value? True Let m be (5/(-3))/(-5)*(6 + -3 + 0). Which is greater: -3/2062 or m? m Let j = -4 - -223. Let y = j - 217. Let c be (-2)/(-6) - (-1)/6. Which is smaller: c or y? c Let d(r) = -2*r + 29. Let n be d(13). Let j be ((-159)/(-45) - 0) + 1/(-3). Is n at least as big as j? False Suppose -82 = k + 69. Let x = k + 237. Are 85 and x nonequal? True Let m be (-6 - (-14 - -7)) + (26/18 - 4). Which is smaller: m or -2? -2 Let s be 48/40*1/(9/30). Suppose -f - s = -6. Let h be 1/((-5)/((-10)/(-8))). Is f less than h? False Let h = 8121.1 + -8654. Let d = h + 557. Is d at most as big as -1? False Suppose 8*p - 6*p + 3*z = 11, -4*p + 14 = -2*z. Suppose p*v - 9 = -17. Suppose 2*y - k + 6 = 0, 3*k - 1 - 13 = 4*y. Is y less than v? False Let v = -53.146 + 52.5. Let i = -0.146 - v. Which is greater: i or 4/3? 4/3 Let n(v) = 10*v**2 - 112*v + 934. Let c be n(8). Which is smaller: 2032/3 or c? 2032/3 Let x = 86 - 84. Suppose x*a - 107 = t + 7, -2*a = -2*t - 112. Suppose -2*v + 50 = a. Are v and 4 nonequal? True Let j = -0.264 + 0.433. Let d = -7.169 + j. Are d and 1.2 unequal? True Let h = -38.1 - -8.1. Let d = 30 + h. Let a = -0.16 - -0.2. Is a <= d? False Let j(x) = 2*x**3 - 29*x**2 + 79*x + 49. Let z be j(11). Which is smaller: z or 723/10? z Let m be (-3 - (-3 - 1))*-127. Let p = 31 + m. Let n be (p/36)/((-2)/3 - 0). Which is bigger: 5 or n? 5 Let d = -9229223/478 - -19308. Let n = -119 + 597/5. Does n = d? False Let k be 4218/133 - -19 - (-1 - 7). Are 60 and k equal? False Suppose 0 = -28*a + 50*a - 22. Let i = -19 + 16.33. Does i = a? False Let r be 17030/5785 + 2/(-1). Which is smaller: 2 or r? r Suppose 195*y - 986 = 567 - 9158. Suppose 3*h + 117 = -d, 2*h + 4*d = 26 - 114. Is y less than or equal to h? True Let f(j) = 282*j**2 + 4*j + 3. Let c be f(-1). Suppose 369 + c = -10*t. Are t and -65 nonequal? False Suppose 4*j - j - 405 = 0. Suppose -6*c = 3*c + j. Let m be 36/30 - (-3)/c. Which is smaller: m or 36? m Let t(v) = -v**3 - 11*v**2 - 22*v - 119. Let x be t(-10). Which is bigger: x or -6/1057? x Suppose -14*j - 986 = -552. Which is greater: j or 15? 15 Let t be (-4)/(-8)*4/61. Let y = -30 + 26. Let k be 4/(-54)*(-5 + y). Which is smaller: t or k? t Suppose 0 = -18*n - 9720 + 324. Which is greater: n or -520? -520 Let r = -608 - -870. Let o = 279 - r. Which is bigger: o or 21? 21 Let s = 21655 - 107891/5. Let v = s + -3466/45. Is -84 smaller than v? True Let w = 460 - 459.972. Is w less than 0.3? True Let x = 53/83 - -293/581. Let d(p) = -5*p - 1. Let f(q) = -q + 1. Let a(h) = d(h) - 4*f(h). Let t be a(-5). Which is greater: x or t? x Suppose 2*l + 1233 = 30*m - 33*m, -3*l + 9 = 0. Is -442 smaller than m? True Let b = -25.2 - 123.8. Let m = 157.7 + b. Let p = -8.53 + m. Are -0.1 and p unequal? True Suppose 0*f + 5*f - 5 = 0. Let m = -862303/492 + 5258/3. Is m at most f? True Let m = 2 + -3. Let p(t) = 2*t**2 + 8*t + 11. Suppose 6*x - x + 2*l + 35 = 0, 2*x - 15 = 5*l. Let d be p(x). Is d <= m? False Let k be (-4)/10 + (-10)/(-25). Suppose -4*r - 120 = 5*m, r + k*r - 55 = 3*m. Let z be (48/m)/(3/(-20)). Is 16 greater than z? False Suppose 5*o + 275 = 5*r, o = 3*o + 2*r + 102. Let y(d) = -d**2 - 11*d - 11. Let u be y(-14). Do o and u have different values? False Let l(q) = 61*q**3 - 3*q**2 - 28*q - 46. Let g be l(-2). Is -491 <= g? True Suppose 0 = 264*f - 212*f - 82940. Is f smaller than 1596? True Let o = 9373 + -12431. Is o at most -3057? True Suppose 3*s - 139 - 386 = 0. Let q = 186 - s. Which is smaller: 9 or q? 9 Let b = 393 - 391. Suppose 5*s - m + 0*m + 696 = 0, -2*m = -b*s - 280. Is -139 at least as big as s? True Suppose 0 = -28*t + 65*t - 37. Which is greater: t or -15/253? t Suppose 4*a - 5663 = -2*l + 2115, 0 = a - l - 1952. Let v = a + -107079/55. Let r = -229/1595 + v. Which is smaller: 1 or r? r Let a be (-11934)/(-78) - (1 + -4). Which is greater: a or 155? a Let l = -283 - -543. Let i = -260.2 + l. Is -62 not equal to i? True Suppose 32*a - 231 = 43*a. Let w be (-2)/45*(-7)/(a/(-30)). Let b = -1 + 2. Which is smaller: w or b? w Let p(s) = s**2 + 8*s + 7. Let l be p(-7). Suppose 2*x - 4*x = l. Suppose x = n - 2*n - 2*k + 8, 2*k - 8 = 4*n. Which is bigger: -1/9 or n? n Let v(f) = f**3 - 20*f**2 + f - 31. Let x be v(18). Let u = 4625/7 + x. Suppose 2*c + 16 = -2*c. Which is bigger: c or u? u Let n = -133656 - -344698834/2579. Is n smaller than 0? False Suppose -3860 = -40*f - 47342 - 12598. Is -1404 at most as big as f? True Let b(k) = -k**2 - 13*k - 19. Let n be b(-11). Suppose -n*d - 13 = -6*u + 7*u, d = -5. Is 7 > u? True Let b = -700 + 944. Do 240 and b have the same value? False Suppose -49*d + 67*d = 198. Is d less than or equal to 14? True Suppose 3*a + 49 = 3*x + 1153, x - 1112 = -3*a. Let r be (a/25)/((-61)/(-30) - 2). Let o be ((-426)/r + 1)*8/(-6). Do 1 and o have different values? True Suppose -2*h + 26 = -h. Suppose u + 4*s = 5, -174 = 4*u - s - 296. Which is greater: u or h? u Let u = -103640423/147 + 14721334/21. Let y = 1834 - 5855. Let t = u - y. Is t >= -2/7? True Suppose 15*z = -1770 + 45. Suppose -3*l - 340 = -0*l - m, 10 = -2*m. Does l = z? True Let h = -5529.3292 + -0.6708. Which is smaller: 0 or h? h Let n = 934 + -951.7. Does n = 48? False Let f be 505/105 + 3/((-3)/5). Let q = f + -10/21. Let a = -62 - -686/11. Which is bigger: a or q? a Let o(r) = r**3 + 21*r**2 - 43*r + 69. Let x be o(-23). Suppose -5*l + 3*u + 29 = -19, x = 5*l + 4*u - 41. Is l less than 23? True Let q(y) = 239*y + 220. Let t be q(-1). Let x(v) = v**2 + 9*v - 7. Let l be x(-7). Which is bigger: t or l? t Suppose 96 = -7*x + 418. Suppose -x = 14*o - 46. Which is smaller: 6 or o? o Let r be (-2 + 1)/((-14)/18). Let y = 378 + -375. Suppose -y = 2*g - 5*g. Which is greater: r or g? r Suppose 0 = 4*k + 4*o - 4, -3*k + 4 = -4*o - 6. Let s be k/5 - 12/5. Let i be (s/34)/((-8)/16). Is i greater than or equal to -1? True Let v = -45 - -53. Suppose -4*p = -5*y + v, 0*y + 4 = y. Suppose -5*l - 33 = -7*f + 4*f, 0 = -2*f + p*l + 23. Is 16 equal to f? True Suppose -4*z - 3*y - 2*y = -15, 2*z - 40 = 4*y. Let n be (8/36)/(1/((-603)/(-12))). Is z not equal to n? True Let k = -4737 - -4987. Which is smaller: 0.1 or k? 0.1 Let v be (1/(-1))/((-5)/(-125)*1). Let b(x) = -x - 23. Let j be b(v). Let z(f) = f**3 - 2*f**2 - f + 2. Let d be z(j). Wh
{ "pile_set_name": "DM Mathematics" }
er? 57 What is the third root of 25081169 to the nearest integer? 293 What is 279291 to the power of 1/9, to the nearest integer? 4 What is the third root of 24836319 to the nearest integer? 292 What is the fourth root of 53480 to the nearest integer? 15 What is 1086276 to the power of 1/7, to the nearest integer? 7 What is the seventh root of 23106407 to the nearest integer? 11 What is 296018 to the power of 1/3, to the nearest integer? 67 What is the cube root of 382845 to the nearest integer? 73 What is 8602683 to the power of 1/2, to the nearest integer? 2933 What is the square root of 772822 to the nearest integer? 879 What is 66489 to the power of 1/5, to the nearest integer? 9 What is 3335940 to the power of 1/9, to the nearest integer? 5 What is 101762 to the power of 1/2, to the nearest integer? 319 What is the square root of 197483 to the nearest integer? 444 What is 561525 to the power of 1/5, to the nearest integer? 14 What is 2836172 to the power of 1/4, to the nearest integer? 41 What is 1693191 to the power of 1/2, to the nearest integer? 1301 What is 2948829 to the power of 1/5, to the nearest integer? 20 What is 274135 to the power of 1/2, to the nearest integer? 524 What is the cube root of 1763128 to the nearest integer? 121 What is the square root of 9361173 to the nearest integer? 3060 What is 1968520 to the power of 1/2, to the nearest integer? 1403 What is 192218 to the power of 1/2, to the nearest integer? 438 What is the tenth root of 209322 to the nearest integer? 3 What is the eighth root of 287399 to the nearest integer? 5 What is 175872 to the power of 1/2, to the nearest integer? 419 What is 8787474 to the power of 1/4, to the nearest integer? 54 What is 736845 to the power of 1/2, to the nearest integer? 858 What is 235624 to the power of 1/2, to the nearest integer? 485 What is the sixth root of 360009 to the nearest integer? 8 What is 995657 to the power of 1/2, to the nearest integer? 998 What is the fifth root of 66127 to the nearest integer? 9 What is the square root of 1573565 to the nearest integer? 1254 What is 308568 to the power of 1/2, to the nearest integer? 555 What is the third root of 480870 to the nearest integer? 78 What is the square root of 8150594 to the nearest integer? 2855 What is the third root of 1093633 to the nearest integer? 103 What is the tenth root of 498378 to the nearest integer? 4 What is the sixth root of 1145521 to the nearest integer? 10 What is 416737 to the power of 1/8, to the nearest integer? 5 What is 6291391 to the power of 1/8, to the nearest integer? 7 What is 1063326 to the power of 1/2, to the nearest integer? 1031 What is the square root of 7995864 to the nearest integer? 2828 What is 2433908 to the power of 1/2, to the nearest integer? 1560 What is 1825320 to the power of 1/2, to the nearest integer? 1351 What is the fourth root of 5927554 to the nearest integer? 49 What is 666933 to the power of 1/2, to the nearest integer? 817 What is the square root of 1390898 to the nearest integer? 1179 What is 3488531 to the power of 1/8, to the nearest integer? 7 What is 189289 to the power of 1/3, to the nearest integer? 57 What is the sixth root of 1822157 to the nearest integer? 11 What is 7599932 to the power of 1/2, to the nearest integer? 2757 What is the third root of 118743 to the nearest integer? 49 What is 215155 to the power of 1/2, to the nearest integer? 464 What is the ninth root of 210577 to the nearest integer? 4 What is 276583 to the power of 1/2, to the nearest integer? 526 What is 215565 to the power of 1/5, to the nearest integer? 12 What is 2175528 to the power of 1/3, to the nearest integer? 130 What is the fourth root of 3357483 to the nearest integer? 43 What is the fifth root of 701057 to the nearest integer? 15 What is 2996932 to the power of 1/2, to the nearest integer? 1731 What is 4645297 to the power of 1/2, to the nearest integer? 2155 What is the square root of 3093725 to the nearest integer? 1759 What is 1517916 to the power of 1/9, to the nearest integer? 5 What is 6871152 to the power of 1/5, to the nearest integer? 23 What is 203373 to the power of 1/3, to the nearest integer? 59 What is 893458 to the power of 1/4, to the nearest integer? 31 What is 8991711 to the power of 1/2, to the nearest integer? 2999 What is the square root of 294038 to the nearest integer? 542 What is the eighth root of 4017673 to the nearest integer? 7 What is the cube root of 601537 to the nearest integer? 84 What is 6110821 to the power of 1/8, to the nearest integer? 7 What is the third root of 70537 to the nearest integer? 41 What is the square root of 1863873 to the nearest integer? 1365 What is the cube root of 239963 to the nearest integer? 62 What is 439473 to the power of 1/3, to the nearest integer? 76 What is the cube root of 10564981 to the nearest integer? 219 What is 281132 to the power of 1/7, to the nearest integer? 6 What is the sixth root of 522515 to the nearest integer? 9 What is the sixth root of 1068053 to the nearest integer? 10 What is the third root of 3966471 to the nearest integer? 158 What is the third root of 3090569 to the nearest integer? 146 What is the third root of 134126 to the nearest integer? 51 What is 9009669 to the power of 1/2, to the nearest integer? 3002 What is the third root of 2815651 to the nearest integer? 141 What is 414432 to the power of 1/3, to the nearest integer? 75 What is the fifth root of 614 to the nearest integer? 4 What is the third root of 3652050 to the nearest integer? 154 What is 70750 to the power of 1/3, to the nearest integer? 41 What is the square root of 276745 to the nearest integer? 526 What is 107832 to the power of 1/10, to the nearest integer? 3 What is the square root of 5894077 to the nearest integer? 2428 What is the square root of 15135656 to the nearest integer? 3890 What is 750997 to the power of 1/5, to the nearest integer? 15 What is 1717637 to the power of 1/2, to the nearest integer? 1311 What is 1384799 to the power of 1/6, to the nearest integer? 11 What is the sixth root of 694907 to the nearest integer? 9 What is the third root of 12175786 to the nearest integer? 230 What is the square root of 7357834 to the nearest integer? 2713 What is the fifth root of 54910 to the nearest integer? 9 What is the sixth root of 5734972 to the nearest integer? 13 What is 7388012 to the power of 1/8, to the nearest integer? 7 What is the tenth root of 571788 to the nearest integer? 4 What is 1868728 to the power of 1/4, to the nearest integer? 37 What is 3141828 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 78695 to the nearest integer? 10 What is the square root of 532567 to the nearest integer? 730 What is the square root of 22308782 to the nearest integer? 4723 What is the sixth root of 510315 to the nearest integer? 9 What is the square root of 7681658 to the nearest integer? 2772 What is 166791 to the power of 1/6, to the nearest integer? 7 What is 155407 to the power of 1/2, to the nearest integer? 394 What is 157929 to the power of 1/7, to the nearest integer? 6 What is the fifth root of 1435336 to the nearest integer? 17 What is the third root of 107352 to the nearest integer? 48 What is 15793223 to the power of 1/6, to the nearest integer? 16 What is the third root of 5874452 to the nearest integer? 180 What is 151335 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 5583817 to the nearest integer? 49 What is 17391595 to the power of 1/6, to the nearest integer? 16 What is 681629 to the power of 1/2, to the nearest integer? 826 What is 233615 to the power of 1/2, to the nearest integer? 483 What is the cube root of 1358788 to the nearest integer? 111 What is 137437 to the power of 1/8, to the nearest integer? 4 What is 620794 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1508018 to the nearest integer? 115 What is the cube root of 3195124 to the nearest integer? 147 What is 22122230 to the power of 1/7, to the nearest integer? 11 What is the eighth root of 192755 to the nearest integer? 5 What is 143247 to the power of 1/2, to the nearest integer? 378 What is the seventh root of 38809525 to the nearest in
{ "pile_set_name": "DM Mathematics" }
places. -0.26 What is 14.9491882 rounded to two dps? 14.95 What is -3287.300182 rounded to the nearest ten? -3290 What is -118948800 rounded to the nearest 1000000? -119000000 Round 142942.023 to the nearest 10000. 140000 Round -3.29327076 to two dps. -3.29 What is -578651.1717 rounded to the nearest 100000? -600000 What is -0.0052294752 rounded to six decimal places? -0.005229 What is 0.0000008227858 rounded to 7 decimal places? 0.0000008 Round -124032.3065 to the nearest integer. -124032 What is 74405.32 rounded to the nearest ten thousand? 70000 What is -0.1779467893 rounded to 2 dps? -0.18 What is 0.00000013099281 rounded to 7 dps? 0.0000001 Round 6070483.6 to the nearest 1000000. 6000000 What is -0.00006508767143 rounded to 5 decimal places? -0.00007 Round -0.0004108747893 to seven decimal places. -0.0004109 What is 51961.071 rounded to the nearest one thousand? 52000 Round -110434.66 to the nearest 100000. -100000 Round 200121.59 to the nearest 1000. 200000 What is -0.000047803619 rounded to 5 dps? -0.00005 What is -0.0589057072 rounded to six decimal places? -0.058906 Round 123873719.5 to the nearest 1000000. 124000000 Round 26216.198423 to the nearest one thousand. 26000 What is 0.001856436848 rounded to 6 decimal places? 0.001856 Round -26.25424309 to one decimal place. -26.3 Round -168308.841 to the nearest 1000. -168000 What is -0.0940401909 rounded to four dps? -0.094 What is -0.0000279101681 rounded to 6 decimal places? -0.000028 Round -11522.5803 to the nearest one thousand. -12000 What is -389.8021175 rounded to the nearest ten? -390 Round 0.000465179601 to six dps. 0.000465 What is -2.318617565 rounded to two dps? -2.32 What is 497147.254 rounded to the nearest one thousand? 497000 Round -20633706.3 to the nearest one hundred thousand. -20600000 Round 712972.35 to the nearest 100. 713000 Round -645.5603597 to the nearest 10. -650 Round 12679260.24 to the nearest 10000. 12680000 Round 8780.40453 to 0 decimal places. 8780 What is 0.8397566188 rounded to three decimal places? 0.84 What is 121.0741837 rounded to 1 decimal place? 121.1 Round -9197.0194 to the nearest integer. -9197 Round 6790079.95 to the nearest 100000. 6800000 Round 5933.9291 to the nearest ten. 5930 Round 0.2620399394 to 3 decimal places. 0.262 What is 11.23372354 rounded to 1 decimal place? 11.2 Round 0.00004333285073 to six decimal places. 0.000043 Round -26.23983046 to 3 dps. -26.24 Round 0.000201015204 to 7 dps. 0.000201 What is -5575.6798 rounded to the nearest integer? -5576 What is 36223.46639 rounded to the nearest ten? 36220 Round 502149.4151 to the nearest ten thousand. 500000 Round -0.396417959 to four dps. -0.3964 What is -0.0004557543078 rounded to 4 dps? -0.0005 Round -0.1631450649 to 5 dps. -0.16315 Round -4.689544191 to one dp. -4.7 What is -2537498.6 rounded to the nearest one million? -3000000 What is 7327.451633 rounded to 1 dp? 7327.5 What is 44.5844053 rounded to the nearest integer? 45 What is 0.0007396936267 rounded to 5 decimal places? 0.00074 What is -0.00005742735 rounded to 4 dps? -0.0001 Round 18590.74359 to the nearest 100. 18600 Round 2.04385359 to 1 decimal place. 2 Round -0.1023192687 to five dps. -0.10232 Round -9.35405046 to 2 dps. -9.35 Round 2161592688.2 to the nearest 100000. 2161600000 What is 0.0190967911 rounded to two dps? 0.02 Round -1092.29415 to the nearest 10. -1090 Round 22788.1062 to the nearest 100. 22800 Round -6393.2036 to zero decimal places. -6393 Round -0.1715652913 to two decimal places. -0.17 Round -232161540 to the nearest one hundred thousand. -232200000 What is -11.70202684 rounded to four decimal places? -11.702 What is -0.00097355939 rounded to 7 decimal places? -0.0009736 Round -1.472219091 to 1 decimal place. -1.5 What is 0.0200403108 rounded to 4 dps? 0.02 Round 0.00004670288865 to seven decimal places. 0.0000467 What is -33375411.6 rounded to the nearest ten thousand? -33380000 What is 19759.7837 rounded to 0 dps? 19760 What is -217.8636903 rounded to 1 decimal place? -217.9 What is 331226616 rounded to the nearest 100000? 331200000 What is -0.322979042 rounded to 5 decimal places? -0.32298 What is 465580.01 rounded to the nearest ten thousand? 470000 What is -0.01251771742 rounded to 4 dps? -0.0125 What is -0.0115383213 rounded to 4 decimal places? -0.0115 Round -121.6253875 to 1 dp. -121.6 Round 14956032.48 to the nearest one thousand. 14956000 What is -5.69338764 rounded to 0 decimal places? -6 What is 0.0000149546081 rounded to six dps? 0.000015 What is -21347624.9 rounded to the nearest ten thousand? -21350000 Round 2.926026583 to three decimal places. 2.926 Round -1502.853771 to 1 dp. -1502.9 What is -0.00000638749491 rounded to 6 dps? -0.000006 Round 781904190 to the nearest 1000000. 782000000 Round -383.90884 to the nearest integer. -384 What is 182.5427275 rounded to the nearest ten? 180 Round -0.05022209017 to two decimal places. -0.05 Round 10864494 to the nearest ten thousand. 10860000 What is -1613327.7 rounded to the nearest one million? -2000000 What is 1203972120 rounded to the nearest 100000? 1204000000 What is 226690504 rounded to the nearest 100000? 226700000 Round 0.01604135233 to three dps. 0.016 Round -0.00038611302 to 4 decimal places. -0.0004 What is 28.999124 rounded to the nearest one hundred? 0 Round 7007638.435 to the nearest 100000. 7000000 Round -12716.622 to the nearest 100. -12700 Round -0.00001437479123 to six decimal places. -0.000014 What is -3058315500 rounded to the nearest one hundred thousand? -3058300000 What is -1.585662815 rounded to the nearest integer? -2 What is 0.000000093888918 rounded to seven decimal places? 0.0000001 Round -0.0006772595022 to 4 decimal places. -0.0007 What is -0.00003566029296 rounded to 5 dps? -0.00004 What is -4.147181902 rounded to four decimal places? -4.1472 What is -60085.177 rounded to the nearest 1000? -60000 What is 0.00000022666379 rounded to 7 dps? 0.0000002 Round 0.00271039057 to four dps. 0.0027 Round -0.0001309923382 to five dps. -0.00013 Round 38295.22103 to one decimal place. 38295.2 Round -1011.764428 to two dps. -1011.76 Round 553.637227 to the nearest 100. 600 What is 10156952.9 rounded to the nearest one million? 10000000 Round -266888659 to the nearest ten thousand. -266890000 Round 4512337.234 to the nearest 1000000. 5000000 Round -0.00056367468 to seven decimal places. -0.0005637 What is 6.279351024 rounded to 1 decimal place? 6.3 What is -0.01164991803 rounded to five decimal places? -0.01165 Round 181525.05 to the nearest one hundred thousand. 200000 What is -0.000453626262 rounded to five decimal places? -0.00045 What is -1130775396.3 rounded to the nearest one million? -1131000000 What is 5953083990 rounded to the nearest one hundred thousand? 5953100000 Round -40362.75364 to the nearest 10. -40360 Round -106494.519 to the nearest 100. -106500 What is 18451626 rounded to the nearest 100000? 18500000 Round -101.36418954 to the nearest ten. -100 What is -2291658940 rounded to the nearest one million? -2292000000 What is -0.000003012947938 rounded to six decimal places? -0.000003 Round 25891749.2 to the nearest 100000. 25900000 Round 0.34743076 to one dp. 0.3 Round 195113.3457 to the nearest one thousand. 195000 What is -1.57605968 rounded to one decimal place? -1.6 What is 0.000000684047133 rounded to seven decimal places? 0.0000007 What is 0.05837268111 rounded to two dps? 0.06 What is -1558.7618682 rounded to 1 decimal place? -1558.8 What is -14049.0355 rounded to the nearest integer? -14049 What is 57.37479 rounded to the nearest 10? 60 Round 0.0000004664057 to seven decimal places. 0.0000005 Round -0.0079275354 to four decimal places. -0.0079 What is -0.00394348137 rounded to 7 decimal places? -0.0039435 What is -12396.96719 rounded to the nearest integer? -12397 Round 301699916 to the nearest 100000. 301700000 Round 0.00004636238 to 6 dps. 0.000046 Round -0.0001569485606 to five dps. -0.00016 What is -0.00504104 rounded to 4 dps? -0.005 What is 1014.830372 rounded to the nearest ten? 1010 Round 55899977.4 to the nearest one thousand. 55900000 What is -214.6571514 rounded to the nearest 10? -210 What is 27565.7716 rounded to the nearest integer? 27566 Round 39332149 to the nearest one thousand. 393320
{ "pile_set_name": "DM Mathematics" }
cked without replacement from fsffffapoopooffffff. What is prob of picking 2 f and 1 p? 110/969 Two letters picked without replacement from nunnunnhulhuhnnnnnn. What is prob of picking 1 n and 1 h? 11/57 What is prob of picking 4 c when four letters picked without replacement from {j: 2, c: 5}? 1/7 Four letters picked without replacement from nssssnsnss. Give prob of picking 1 s and 3 n. 1/30 What is prob of picking 1 f and 1 a when two letters picked without replacement from fqafreqqaaaqaaa? 2/15 What is prob of picking 2 m and 1 r when three letters picked without replacement from {r: 1, m: 2}? 1 Three letters picked without replacement from ozzz. What is prob of picking 3 z? 1/4 Three letters picked without replacement from {z: 1, v: 1, k: 1, m: 2, b: 2, f: 2}. Give prob of picking 2 m and 1 f. 1/42 What is prob of picking 1 x, 1 q, and 1 r when three letters picked without replacement from xrrrrxrqrqrrrqrrrxrx? 13/95 What is prob of picking 2 e and 1 v when three letters picked without replacement from xveqvqevqluevlvqvqu? 6/323 What is prob of picking 4 t when four letters picked without replacement from etuhuuuutehtetutuuuh? 1/969 Two letters picked without replacement from vvwhvwhdhvvwhhhwv. What is prob of picking 1 d and 1 v? 3/68 Four letters picked without replacement from {q: 7, i: 6, z: 4}. What is prob of picking 4 i? 3/476 Calculate prob of picking 1 o and 1 l when two letters picked without replacement from wookklssgoksslsssk. 2/51 Calculate prob of picking 2 n, 1 u, and 1 v when four letters picked without replacement from {n: 8, j: 2, u: 7, v: 3}. 196/1615 Calculate prob of picking 4 b when four letters picked without replacement from bnbnbbbbnbbnbnnbbb. 11/68 Two letters picked without replacement from ojjjjjsyj. Give prob of picking 1 o and 1 y. 1/36 Three letters picked without replacement from suyssqvs. What is prob of picking 1 y, 1 v, and 1 u? 1/56 Calculate prob of picking 4 n when four letters picked without replacement from {t: 1, n: 6, s: 7}. 15/1001 Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwmwmmw. 4/7 Three letters picked without replacement from {q: 1, z: 1, l: 1, k: 4, e: 4}. Give prob of picking 1 z, 1 e, and 1 k. 16/165 Two letters picked without replacement from fqsmtmq. What is prob of picking 1 m and 1 q? 4/21 What is prob of picking 4 e when four letters picked without replacement from {e: 7, p: 7}? 5/143 Four letters picked without replacement from {m: 7, f: 2, w: 9}. What is prob of picking 1 w and 3 m? 7/68 Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {s: 9, g: 5}. 45/182 What is prob of picking 2 w when two letters picked without replacement from wwwwwwwcywwwww? 66/91 What is prob of picking 1 j and 2 r when three letters picked without replacement from {a: 8, j: 1, r: 11}? 11/228 What is prob of picking 2 c when two letters picked without replacement from ccnncsn? 1/7 What is prob of picking 2 z when two letters picked without replacement from {z: 3, k: 11}? 3/91 Four letters picked without replacement from avsssssssvassiasasvs. Give prob of picking 1 i and 3 s. 44/969 What is prob of picking 3 m when three letters picked without replacement from {m: 3, i: 2}? 1/10 Calculate prob of picking 1 k, 1 s, and 1 i when three letters picked without replacement from nsdininndkiikn. 2/91 Four letters picked without replacement from dqdqedeseqdeqeme. What is prob of picking 1 s, 1 m, 1 q, and 1 e? 6/455 Calculate prob of picking 3 o when three letters picked without replacement from ooooo. 1 Four letters picked without replacement from {s: 5, l: 2}. What is prob of picking 4 s? 1/7 Three letters picked without replacement from svzvyqzqo. What is prob of picking 1 s, 1 o, and 1 q? 1/42 Calculate prob of picking 2 a and 1 t when three letters picked without replacement from aqttkqaqqu. 1/60 Calculate prob of picking 1 j, 1 f, and 1 l when three letters picked without replacement from {f: 2, g: 1, l: 7, d: 1, j: 4, u: 4}. 56/969 Calculate prob of picking 1 a, 1 r, and 1 u when three letters picked without replacement from uroqosqqauoasaou. 9/560 Two letters picked without replacement from sksssgwgwss. What is prob of picking 1 w and 1 k? 2/55 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from cgjpwgo. 1/21 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jajzjjweajjgjj. 8/91 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from otlojvjjj. 1/36 Calculate prob of picking 3 p and 1 k when four letters picked without replacement from tepbkkbkkpbptbpb. 4/455 Calculate prob of picking 2 k when two letters picked without replacement from {f: 2, b: 4, k: 5}. 2/11 Calculate prob of picking 2 g, 1 t, and 1 b when four letters picked without replacement from {x: 1, b: 1, g: 3, l: 2, t: 2, h: 3}. 2/165 Calculate prob of picking 2 c when two letters picked without replacement from cbncbtbnbcbxtbbbdbn. 1/57 What is prob of picking 1 r and 1 e when two letters picked without replacement from {g: 1, r: 5, z: 1, e: 3}? 1/3 Two letters picked without replacement from {w: 2, b: 3}. Give prob of picking 1 w and 1 b. 3/5 What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvv? 1 Calculate prob of picking 3 u when three letters picked without replacement from {q: 1, g: 2, y: 2, i: 3, u: 3, r: 4}. 1/455 Three letters picked without replacement from hgnhnb. Give prob of picking 2 n and 1 b. 1/20 Two letters picked without replacement from pttpttvwvmtutwt. Give prob of picking 1 w and 1 v. 4/105 Calculate prob of picking 2 w and 1 c when three letters picked without replacement from cyjwcwwwccccjc. 3/26 Four letters picked without replacement from {l: 2, a: 6, z: 3, q: 1}. Give prob of picking 2 z and 2 l. 1/165 Calculate prob of picking 2 y when two letters picked without replacement from pppyyppp. 1/28 What is prob of picking 3 u and 1 t when four letters picked without replacement from {t: 1, u: 14}? 4/15 What is prob of picking 1 x and 2 e when three letters picked without replacement from eexexeexeex? 28/55 Four letters picked without replacement from vvooootv. Give prob of picking 2 t and 2 v. 0 What is prob of picking 2 d and 2 p when four letters picked without replacement from mdmgqdpp? 1/70 Two letters picked without replacement from {n: 6, m: 6, v: 1, l: 4, x: 1}. What is prob of picking 1 x and 1 v? 1/153 What is prob of picking 2 a when two letters picked without replacement from {j: 1, y: 2, a: 5, o: 1}? 5/18 Two letters picked without replacement from {w: 7, b: 2, o: 2, z: 5, l: 4}. What is prob of picking 1 w and 1 o? 7/95 What is prob of picking 2 l and 1 b when three letters picked without replacement from {l: 2, c: 2, b: 4, n: 1}? 1/21 Three letters picked without replacement from wabbbawaabbabb. What is prob of picking 2 a and 1 w? 5/91 Two letters picked without replacement from {w: 1, j: 1, y: 2, k: 2, p: 1, e: 2}. What is prob of picking 1 e and 1 k? 1/9 What is prob of picking 1 j, 1 r, and 1 u when three letters picked without replacement from {w: 3, u: 2, r: 7, j: 5}? 7/68 Calculate prob of picking 1 d and 3 n when four letters picked without replacement from nnnnnnnd. 1/2 Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {z: 9, s: 9}. 27/68 Calculate prob of picking 4 u when four letters picked without replacement from uufuuufufufuf. 14/143 Four letters picked without replacement from {p: 3, i: 7, o: 2, c: 1, s: 1, f: 3}. Give prob of picking 1 o, 1 p, 1 i, and 1 c. 3/170 Two letters picked without replacement from rraqggqo. What is prob of picking 1 q and 1 r? 1/7 Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {l: 1, g: 5, w: 3, r: 4}. 15/143 Three letters picked without replacement from {t: 1, u: 1, h: 1, r: 2}. Give prob of picking 2 r and 1 t. 1/10 Two letters picked without replacement from rrcc. What is prob of picking 2 c? 1/6 What is prob of picking 1 b, 1 u, and 1 e when three letters picked without replacement from ukxeb? 1/10 What is prob of picking 1 v and 1 d when two letters picked withou
{ "pile_set_name": "DM Mathematics" }
3*p - 79714 = 4*t + 5*p. Let h = 60926 + t. Round h to the nearest ten thousand. 40000 Let p = -123774676.60295 - -48.60295. Let j = -123774621.99999978 - p. Let k = -6 + j. What is k rounded to 7 dps? 0.0000002 Let d = -1.104 - 0.086. What is d rounded to 1 decimal place? -1.2 Let o = 10733168 - -30266820. Suppose 0 = -b + v - 2*v + 8200004, 5*b - 3*v = o. Round b to the nearest one million. 8000000 Suppose 0*u = -2*q - u + 4, 8 = -2*u. Suppose q*t + 69599994 = -3*s + 5*s, -3*s - 69600009 = 4*t. What is t rounded to the nearest one million? -17000000 Let h = -0.3882 + -73.1918. Let w = h + 1.58. Let v = -71.902 - w. What is v rounded to 2 dps? 0.1 Let t = -176 + 175.9999839. What is t rounded to five decimal places? -0.00002 Let m be (-2470186)/(-2) - (-2 - -2). Suppose 5*b - 3999994 = 3*u, 5*u + m + 364897 = 2*b. What is b rounded to the nearest 1000000? 1000000 Let p be 2/7 - (-36)/(-28). Let c be 10297/1 + p + 4. What is c rounded to the nearest one thousand? 10000 Let u = -0.198097 - -0.198. What is u rounded to 5 dps? -0.0001 Let j = 0.011 - -0.0002. Round j to three dps. 0.011 Let s = 0.334 + -0.114. Round s to one dp. 0.2 Let a = -48.347 + 59.1543. Let c = -10.8 + a. What is c rounded to 3 decimal places? 0.007 Let k = -19 + 17. Let o be (k/(-2))/(5/(-4200)). What is o rounded to the nearest one hundred? -800 Let q = -51 - -50.866. What is q rounded to two dps? -0.13 Let n = -0.52 + 0.520338. What is n rounded to 5 decimal places? 0.00034 Let n = 616.016 - 611. Let s = -5 + n. Let f = s - 0. What is f rounded to 2 dps? 0.02 Let m = -27 + 53. Let v = m + -25.99999947. Round v to seven decimal places. 0.0000005 Let p = 131999.931 - 131829. Let c = 171 - p. Let t = 0.0631 - c. Round t to 3 dps. -0.006 Let h = 2.932 - 7.303. Let q = 0.189 - h. Let s = 5 - q. What is s rounded to one dp? 0.4 Let q = 0.4659186 + -0.466. Round q to five dps. -0.00008 Let t(q) = -183458*q**2 + 518464*q**2 + 337712*q**2. Let n be t(-1). Suppose 2*s = -n - 227282. What is s rounded to the nearest one hundred thousand? -500000 Let t = 6942069 - 6942177.99953. Let p = t + 109. Round p to four dps. 0.0005 Suppose 4*u = n - 544 - 731, n = u + 315. Let o be u*((-45)/6)/3. Let f = 400 - o. What is f rounded to the nearest one hundred? -400 Suppose -2*y = -5*y + 81. Let z be (-1)/(((-3)/y)/(-1)). Let g(f) = -210*f**2 - f + 1. Let v be g(z). Round v to the nearest 10000. -20000 Let a(j) be the first derivative of 167500*j**2 + 3. Let u be a(-4). What is u rounded to the nearest one hundred thousand? -1300000 Let z = -1789 - -1804.048. Let w = -15 + z. What is w rounded to two decimal places? 0.05 Let h be (-132988281)/(-6) - 6/(-4). Let b = 12364715 - h. What is b rounded to the nearest one million? -10000000 Suppose -5*l + 142595 = 3*y + 3404693, -l = 5*y + 652402. Suppose -752568 - 209854 = -x. Let s = x + l. What is s rounded to the nearest 100000? 300000 Let t = 36 - 36.0635. Let y = t + 9.8535. Let b = y - 0.49. What is b rounded to the nearest integer? 9 Let o = -0.124 + 0.124059. Round o to 5 dps. 0.00006 Let z = 1.20016 + -1.2. Round z to four decimal places. 0.0002 Let h = -1.1039101 + 1.104. What is h rounded to five decimal places? 0.00009 Let r = 2.7 + -2.69991. Round r to five dps. 0.00009 Let j = 0.02 + 0.78. Let d = 0.62 - j. Round d to 1 dp. -0.2 Let h = -1.8 + 1.63. Let r = -19 - -19.03. Let c = r + h. Round c to one decimal place. -0.1 Let l = 0.908 + -0.908000581. What is l rounded to seven dps? -0.0000006 Let b = -50 - -49.99999924. Round b to seven decimal places. -0.0000008 Let x = -8.3 + -6.2. Round x to zero dps. -15 Let f = 0.044694 - 0.12419. Let h = -0.176402 - f. Let b = 0.097 + h. What is b rounded to five decimal places? 0.00009 Let x = 428.4 + -394.709. Let p = -0.791 + x. Let f = p - 45. Round f to the nearest integer. -12 Let l(w) = w - 1. Let o be l(-3). Let a be 3/o - 3077/4. Round a to the nearest 100. -800 Suppose -5*p + 3508 = -4*n, 0 = p + 5*n - 665 - 25. Round p to the nearest 100. 700 Suppose 0 = 3*y - 22 + 7. Suppose y*j + 3 = 8. Let k be j + 1 + 2 + -48004. Round k to the nearest ten thousand. -50000 Let h = 8 - 6. Suppose -h*i + 0 + 6 = 0. Suppose f - 1 = -i. What is f rounded to the nearest ten? 0 Let y = -3 + 2.68. Let k = y + -10.38. What is k rounded to 0 dps? -11 Let a = 0.215 - -128.785. Let c = -129.0057 + a. What is c rounded to 3 dps? -0.006 Suppose 4*a - 500 = -8*c + 3*c, 5*a + 233 = 2*c. Let z(i) = -i**3 - i**2 + 2*i - 1. Let o be z(1). Let q be -2 + c - (o - -3). Round q to the nearest 1000. 0 Let c = 240.870616 + -560.8006. Let w = -320 - c. Let x = w - -0.07. What is x rounded to five dps? -0.00002 Let n = -266.9999789 + 267. What is n rounded to five dps? 0.00002 Let l = -0.21 + 0.03. Let o = l + 0.163. Let b = o + -1.023. What is b rounded to one dp? -1 Let l = -39.51 - -3.41. What is l rounded to the nearest 10? -40 Let o = 238 + -238.0301. Round o to 3 decimal places. -0.03 Suppose 0*g - 1848000 = 8*g. Round g to the nearest ten thousand. -230000 Let r = 0.5 - 0.8. Let p = r - -0.27. Let g = -0.0299996 - p. Round g to 7 dps. 0.0000004 Let r = 20142136 + 21557864. Suppose -r = 8*d - 11*d. Round d to the nearest 1000000. 14000000 Let y = 81.1066 - 0.1166. Let c = -123 + 43. Let v = y + c. What is v rounded to 1 dp? 1 Suppose -2*i = -g - 13, -i + 3 = -2*g - 11. Suppose z = i*c - 10650, -z + 13308 = 3*c + 2*c. Suppose 7762 = -3*b + c. Round b to the nearest 1000. -2000 Let m(s) = -5*s - 3. Let z(w) = 1. Let c(b) = -m(b) - 2*z(b). Let y be c(-1). Let k(j) = -22501*j - 4. Let h be k(y). What is h rounded to the nearest 100000? 100000 Let c = -1.1 - -0.6. Let m = c + 7.5. Let k = 7.000006 - m. What is k rounded to 5 dps? 0.00001 Let b(v) = 2*v**2 - v**2 - 3 - 3*v + 2*v - 1200438*v**3 - 3*v. Let k be b(-2). Suppose -5*t - 16396487 = k. What is t rounded to the nearest 1000000? -5000000 Let o = -78401 - -78386.00088. Let v = o + 15. What is v rounded to 4 dps? 0.0009 Suppose 1 = d - 0*d, -36799996 = 2*h + 4*d. Round h to the nearest one million. -18000000 Let d = -2349032.71696 - -1557522.126993. Let c = 791510 + d. Let f = c + 0.59. Round f to 5 dps. 0.00003 Let b = -22 - -34. Let f = b - 39. Let m = 27.062 + f. What is m rounded to 2 decimal places? 0.06 Let n = 1978165 + -1967029.896. Let r = n - 11143.1040015. Let h = r + 8. What is h rounded to six decimal places? -0.000002 Let p = -625 - -1085. Round p to the nearest one thousand. 0 Let i = -136.2 + 104. What is i rounded to the nearest 10? -30 Let z(v) = 8907*v**3 - 2*v**2 - 6*v + 8. Let l be z(4). What is l rounded to the nearest one hundred thousand? 600000 Suppose -5*u = 3*m + 60, 2*m - 5*u = -14 - 1. Let i be 7499995/m + 2/(-6). Round i to the nearest 1000000. -1000000 Let a = 1.38 + -1.4. What is a rounded to two decimal places? -0.02 Let w = 9820724.11300139 - 9820724. Let t = w + -0.113. Round t to seven decimal places. 0.0000014 Let w = 449 - 449.0607. What is w rounded to two dps? -0.06 Suppose 87 = -5*x - 8. What is x rounded to the nearest integer? -19 Suppose 0 = -t, -t - 3*t = -p - 19. Let n be p + (4/(-4))/1. What is n rounded to the nearest 100? 0 Let f = -0.32 - -0.32017. What is f rounded to 5 decimal places? 0.00017 Let k = 2.1 + -2.28. Round k to 1 decimal place. -0.2 Let q = 96 + -95.9691. What is q rounded to 3 dps? 0.031 Let h = 377860521.28969923 - 1681338523.28970004. Let c = -1303478044 - h. Let y = 42 + c. Round y to 7 decimal places. 0.0000008 Let w = 1.55 + 3.52. Round w to 1 decimal place. 5.1 Suppose -284 = -5*k + 61136. Let n = k + 17428. Let b = n - -28288. What is b rounded to the nearest ten thousand? 60000 Let f = 47.5 - 9. Round f to the nearest 10. 40 Let n = -50931 + 50930.98899979. Let a = n - -0.011. Round a to seven decimal places. -0.0000002 Suppose 19 = 5*a + 3*x, 0*x = -2*a + 3*x - 5. Let d(i) = -239*i**2 + 3*i. Let k be d(a). Round k to the nearest one hundred. -1000 Let x = 44032721.999919 - 44032573. Let k = -121.1 + -27.9. Let r = x + k. What is r rounded to five decimal places? -0.00008 Let o = 0.1358 - -13781.8642. Let t = o + -13831.043. Let k = t - -49. What is k rounded to 2 dps? -0.04 Let m = -13 + 13.000112. Round m to 5 decimal places. 0.00011 Let p = -0.06 - -0.02. Let d = p - -0.03984. Round d to f
{ "pile_set_name": "DM Mathematics" }
second smallest value in 3006, 5, 0.5? 5 What is the fourth smallest value in 2/5, -1/3, 5.7, -1/2? 5.7 Which is the third biggest value? (a) 20/3 (b) 5 (c) 1/10 c Which is the third smallest value? (a) -5 (b) 1 (c) 51 (d) 2/3 b What is the second biggest value in -1, 6, 5? 5 Which is the second smallest value? (a) 35 (b) -0.5 (c) 0.08 (d) 0.3 c Which is the smallest value? (a) 0 (b) 0.4 (c) 0.1 a Which is the third biggest value? (a) -0.52 (b) -0.3 (c) 2 a Which is the fifth smallest value? (a) -1/6 (b) 1/2 (c) 0.3 (d) -2 (e) 4 e Which is the second smallest value? (a) 2 (b) -9 (c) 1 (d) -8 d Which is the biggest value? (a) 5 (b) -2/3 (c) 52 (d) 0 c What is the second biggest value in 7, 1, -2/41, 0.4? 1 Which is the biggest value? (a) 1/2 (b) 1 (c) -5/19 b What is the second smallest value in 236, 0, 5? 5 Which is the third biggest value? (a) 0.057 (b) 10 (c) -4 (d) 0.4 a Which is the second smallest value? (a) 3/5 (b) 3 (c) -3 (d) -4 c What is the biggest value in -1/11, 2, 0, -1? 2 Which is the third biggest value? (a) 0.3 (b) -5 (c) -0.4 (d) 10 c What is the second smallest value in 560, -0.5, -3/8? -3/8 What is the third smallest value in 1/7, -1, 37, -2? 1/7 What is the second biggest value in 1/6, 537, 5? 5 Which is the biggest value? (a) -465 (b) -3 (c) 4/3 (d) 0 c Which is the third biggest value? (a) 0.1 (b) 1.9 (c) -3 (d) -2 (e) -2/3 e Which is the second smallest value? (a) 2/7 (b) -3/2 (c) 5/89 c What is the third smallest value in 2/7, 14.988, 0.2? 14.988 Which is the third smallest value? (a) -0.058 (b) -0.1 (c) 2/15 (d) 0.3 c Which is the biggest value? (a) -2/11 (b) -4.7 (c) -1 a What is the third biggest value in 95, 2, 0.3? 0.3 Which is the second smallest value? (a) -7/3 (b) 2/9 (c) 20 b What is the biggest value in -1/4, 0.2, -2/621, 4, -0.1? 4 What is the second smallest value in 0.3, -696, 1/3? 0.3 What is the second smallest value in -5, -2/7, -20, -4? -5 What is the smallest value in -990, -4, -0.5? -990 What is the smallest value in -1.57, 11, 1/8? -1.57 What is the second biggest value in 57, 0, -1, 0.2? 0.2 What is the smallest value in 1/3, -0.02, 384? -0.02 What is the third biggest value in 0.2, 1, -67, -1? -1 Which is the fourth smallest value? (a) 14 (b) -2/7 (c) -7/6 (d) -3 a What is the smallest value in 1.3, -0.2, 5/2, -3? -3 What is the biggest value in -5, 3, 1, -42? 3 Which is the fourth smallest value? (a) -2/5 (b) 1.1 (c) -0.5 (d) 0 (e) 0.6 e What is the third smallest value in -2/15, -2/3, -2/7, 10, 0.3? -2/15 Which is the biggest value? (a) -5 (b) -1/6 (c) 0.018 (d) -2/13 c Which is the smallest value? (a) 5 (b) -0.3 (c) 17 (d) 5/7 b Which is the second smallest value? (a) -1.7 (b) 2/9 (c) 2/15 (d) -49 a Which is the second smallest value? (a) -0.1 (b) -0.2 (c) -1/3 (d) 0.0075 b Which is the biggest value? (a) 3 (b) -0.4 (c) -2 (d) 2/11 a What is the biggest value in 0.01, 2/7, -0.5? 2/7 Which is the second biggest value? (a) -4 (b) -0.119 (c) 0.2 (d) 3 (e) 1/2 e What is the second biggest value in -0.2, 0.116, -79/2? -0.2 Which is the second biggest value? (a) 1 (b) 0.7 (c) 0.5 (d) 2/13 b Which is the biggest value? (a) 0.5 (b) -3 (c) -1 a Which is the third biggest value? (a) 2 (b) 0 (c) -76 c Which is the third smallest value? (a) 2/5 (b) -0.3 (c) 29 c What is the biggest value in 0.3, -7/2, 0.1, -2, 1/2? 1/2 Which is the fifth biggest value? (a) 36 (b) -4 (c) -3 (d) -1/6 (e) 0 b Which is the third smallest value? (a) -0.2 (b) -0.3 (c) -0.4 (d) 464 a Which is the fifth biggest value? (a) -3 (b) 5 (c) -0.2 (d) 2/9 (e) -0.01 a Which is the third smallest value? (a) 0 (b) 0.295 (c) -0.1 (d) 0.4 b Which is the third biggest value? (a) 4 (b) 0.4 (c) -3 (d) -4 (e) -1/3 e What is the fourth biggest value in 0, 55, 3, -2? -2 Which is the third smallest value? (a) 1/4 (b) -5 (c) -0.16 a Which is the second biggest value? (a) -1.5 (b) -0.2 (c) -7 (d) -4 (e) -5 a What is the biggest value in -2, 4, 0.5, 1.1? 4 What is the third smallest value in -0.4, 1/2, -5, 1/7? 1/7 Which is the fifth biggest value? (a) -3 (b) 5 (c) 0.3 (d) -0.054 (e) -1/5 a Which is the third smallest value? (a) -2/265 (b) 2/9 (c) 3 (d) -0.5 b Which is the second biggest value? (a) -0.5 (b) 3/4 (c) 1 (d) 0.8 (e) -2/3 d What is the biggest value in 0.29, 0, -0.4? 0.29 What is the third smallest value in -0.4, 1/15, 5, 248? 5 What is the fourth smallest value in 1/4, -6, 5/3, -1/9? 5/3 Which is the second smallest value? (a) 8/177 (b) -2/3 (c) -0.3 c Which is the fourth smallest value? (a) -1 (b) -29/5 (c) -0.46 (d) -5 c What is the third smallest value in -5, -1/11, -6/7? -1/11 What is the biggest value in -4, -10, 190? 190 Which is the third smallest value? (a) -14 (b) 5/4 (c) 5 c Which is the fourth smallest value? (a) -3/5 (b) 73 (c) 2 (d) -0.1 b Which is the second smallest value? (a) -339 (b) 3 (c) 1 (d) 5/2 (e) 0.7 e What is the third biggest value in 5, 1/5, 0.5, 201, 0? 0.5 Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 3 (d) 15 a Which is the third biggest value? (a) 2/3 (b) 2/5 (c) 9/268 c What is the fourth smallest value in -4, -2, -1, 0.08? 0.08 Which is the third biggest value? (a) -0.4 (b) 4 (c) -6.9 (d) 8/7 a What is the fourth biggest value in 5, -1/7, 0.1, 2? -1/7 What is the fourth biggest value in -4/5, -7, -4, 1/8? -7 Which is the fourth smallest value? (a) -1.6 (b) -0.2 (c) -1 (d) -3.4 b What is the third biggest value in 0.1, 6/43, -0.2, -1? -0.2 Which is the fourth smallest value? (a) -0.3 (b) 2 (c) -1/74 (d) 0.2 (e) -0.4 d What is the smallest value in -0.4, -3/7, -553, -5? -553 Which is the biggest value? (a) -0.1 (b) 3/4 (c) 2 (d) 0.2 c What is the second smallest value in -16, 5, -0.102? -0.102 Which is the fourth biggest value? (a) 2/15 (b) -193 (c) -0.2 (d) 7 b Which is the second biggest value? (a) 0.2 (b) 2833 (c) -0.1 (d) -2 a What is the second biggest value in -0.2, -4, -18, 2/9? -0.2 What is the second biggest value in 198, -0.5, 1/22? 1/22 Which is the fifth smallest value? (a) 0 (b) -5 (c) 0.04 (d) 1/6 (e) -3 d Which is the second smallest value? (a) 11 (b) -3 (c) 0.3 c What is the third biggest value in 92/9, 1/7, -3/7, -0.4? -0.4 What is the biggest value in -5, 0.1, -3, 1, -103? 1 Which is the biggest value? (a) 0.47 (b) -1/3 (c) 5 c Which is the second biggest value? (a) 147 (b) 5 (c) -1 b Which is the third biggest value? (a) 3/7 (b) -0.1 (c) -1.4 (d) 0.3 b Which is the fourth smallest value? (a) 3 (b) 5 (c) -0.002 (d) 0.1 (e) -0.1 a Which is the fifth smallest value? (a) -19 (b) 1/2 (c) 0.1 (d) 0.2 (e) 2/13 b Which is the second biggest value? (a) 0.07 (b) -0.3 (c) 6 (d) -2/7 a Which is the second biggest value? (a) 4/25 (b) 1 (c) -0.5 (d) -0.4 a What is the third smallest value in -190, -2/5, 2, 2/11? 2/11 Which is the fourth smallest value? (a) 1/7 (b) -0.4 (c) 69 (d) -5/3 c What is the second smallest value in 3, 6, 6/5? 3 What is the second biggest value in -5, 4.85, 5, 0? 4.85 Which is the fourth biggest value? (a) 1/6 (b) -4 (c) 837 (d) -5 (e) 0 b What is the second biggest value in -5, -39, 6? -5 Which is the second biggest value? (a) 0.11 (b) -0.19 (c) 0 c What is the third biggest value in 1/3, -0.2, 7.5, -0.3? -0.2 What is the fourth smallest value in -0.4, 0.29, -2/115, 4? 4 Which is the biggest value? (a) -5 (b) 3/7 (c) 0.04 b What is the second smallest value in 0.1, 0, 1/6, -377? 0 Which is the second smallest value? (a) 5/3 (b) -5 (c) 2 (d) 5/2 a Which is the smallest value? (a) -1/5 (b) 1/7 (c) -2 (d) -7 d What is the second smallest value in 0.06, -2/5, 0, -5? -2/5 Which is the third smallest value? (a) 1 (b) 2/11 (c) -5 a What is the fourth smallest value in 28/5, -0.4, -1/11, -4, 2/5? 2/5 Which is the third smallest value? (a) -1/6 (b) -5 (c) 2 (d) -320/3 (e) 4 a What is the biggest value in -435, -0.3, 0.02? 0.02 What is the fourth biggest value in 10, 5, 0, -2, -4? -2 What is the third biggest value in -21, 1, 4, -3? -3 What is the third biggest value in -20, 2/655, 2/11? -20 Which is the
{ "pile_set_name": "DM Mathematics" }
s - 6*s**3 + 6*s**2. What are the prime factors of w(-7)? 3, 7 Suppose -m + 6*h = -4267, -4*m - 19*h + 16952 = -14*h. List the prime factors of m. 4243 Suppose 26*j = j + 14250. What are the prime factors of j? 2, 3, 5, 19 Let v(w) = -w**2 - 4*w + 1. Let s be v(-3). Suppose -5*m - 3*f = -15 - 5, -20 = -5*m + s*f. Suppose 0 = m*z - 96 - 76. List the prime factors of z. 43 Suppose -12*d + 2064 = -660. List the prime factors of d. 227 Let d(w) = 14*w + 93. List the prime factors of d(10). 233 List the prime factors of (-40 - 377)/((-14)/8 + 1). 2, 139 Suppose -49*v - 8866 = -56592. What are the prime factors of v? 2, 487 Let u = 6 - 2. Let y = 2 + u. Let h(d) = d**3 - 6*d**2 + 3*d + 4. What are the prime factors of h(y)? 2, 11 Suppose 0 = 3*u - 4*u + 116. Suppose 4*n - u = -4*r, -r - 4*n = -n - 29. Let i = r - 6. List the prime factors of i. 23 Let z = -13 + -1. Let d(s) = -7*s + 2. List the prime factors of d(z). 2, 5 Let l(q) = -q**3 + 8*q**2 + 10*q - 6. Let r be l(9). Suppose -36 = -2*u + 4*p, -5*u + 8*p = 3*p - 75. List the prime factors of (r/6)/(2/u). 3 Let g(o) = 3*o - 5. Let j be g(4). Let l(p) = p**2 - 7*p + 1. Let h be l(j). List the prime factors of 3*(13 + 0) + h. 2, 5 Let j be (-4 - 8)*(-2)/3. Suppose 4*y = 6*y - j. Suppose 0*q - 208 = -y*q. List the prime factors of q. 2, 13 Suppose -2*l - 4*k + 693 = -l, -3*l + 2*k + 2037 = 0. What are the prime factors of l? 3, 227 Let p = 1699 + 607. List the prime factors of p. 2, 1153 Let r(o) = -o**3 - 30*o**2 + 36*o - 56. What are the prime factors of r(-32)? 2, 3, 5, 7 Suppose 34 = 2*v + 2*u - 20, 12 = 4*u. Let k = 19 + -23. Let h = v + k. List the prime factors of h. 2, 5 Suppose 598 = 2*d + 2*o, 723 = 3*d + o - 164. Suppose -3*a + d = -2*k, -490 = -5*a - 0*k - 4*k. Suppose 26 = -3*j + a. What are the prime factors of j? 2, 3 Suppose 0 = -o - 5*y - 37, -4*o + 4*y - 16 = 12. Suppose 3*d + 4*d = -903. What are the prime factors of d/(-9) + 4/o? 2, 7 Let c = 861 - 436. Let x = -268 + c. What are the prime factors of x? 157 Suppose -38*a = -5*b - 37*a + 631, -5*b - 2*a = -628. List the prime factors of b. 2, 3, 7 Let j(a) = 38*a**2 + 16*a - 46. What are the prime factors of j(3)? 2, 43 Let i = 69 - 101. Let x(a) = -3*a**3 + 4*a**2 - 2*a - 2. Let k be x(2). Let h = k - i. List the prime factors of h. 2, 3 Suppose 0*y + 2*f + 9 = 3*y, 0 = 5*y + f - 15. Let h = y + 1. Suppose -3*o + 52 = -h*z, -4*z + 72 = 4*o - 8*z. List the prime factors of o. 2, 5 Suppose -5*j - 29 = -24. Let y = j - -5. Suppose 2*o - 43 = r, 0*o + y*o - 5*r = 77. List the prime factors of o. 23 What are the prime factors of (-8)/(-108) + (-1527463)/(-837)? 5, 73 Let h = 1228 - -484. What are the prime factors of h? 2, 107 Suppose -20 + 8 = -3*c. Suppose 230 = 3*b + 5*q, 0 = c*q - 0 + 8. List the prime factors of b. 2, 5 Suppose 17*l - 43094 + 1529 = 0. List the prime factors of l. 3, 5, 163 Let i(j) = -j**3 - 16*j**2 + 7*j - 36. List the prime factors of i(-20). 2, 89 Let z = 25 + -22. Suppose 4*c = -5*s - 117, -z*s - 36 = -5*c + 12. What are the prime factors of s*((-32)/12 + 1)? 5, 7 Let c(u) = 8*u - u - 6*u - 7*u - 10. List the prime factors of c(-26). 2, 73 Suppose 0 = -5*l - 21 - 4. Let m be 2/2*(-10)/l. Suppose h + m*h - 102 = 0. List the prime factors of h. 2, 17 Suppose 6432 = 2*c - 4*t, 11*c + 12871 = 15*c - t. List the prime factors of c. 2, 1609 Let q = -15 - -17. Suppose 3*n - m - m = 103, 5*n + q*m = 161. What are the prime factors of n? 3, 11 Let s = 35 - 85. What are the prime factors of 277/5 + 20/s? 5, 11 Let r(c) = -3*c + 4. Let s be r(-2). Let a(l) = 19 + 14 - l**2 - s - l. What are the prime factors of a(0)? 23 Let k = 550 + -303. What are the prime factors of k? 13, 19 Let b = -24 + 27. Suppose -3*u = 5*j - 158 - 137, 3*u - 255 = b*j. Suppose 4*h = h + u. List the prime factors of h. 2, 3, 5 Let d = -22 + -14. Let g = d - -71. What are the prime factors of g? 5, 7 Let q(h) = 3*h**3 + 12*h**2 - h - 11. Let f(t) = -4*t**3 - 13*t**2 + t + 12. Let r(j) = 4*f(j) + 5*q(j). List the prime factors of r(7). 5, 7 Let t(s) = -11*s + 455. List the prime factors of t(37). 2, 3 Let t = 56 + -51. Suppose -4*n = -t*n + 46. What are the prime factors of n? 2, 23 Let n be 3/(-45)*-2 + (-12072)/90. Let c = 23 - n. List the prime factors of c. 157 Let k(l) = -l**2 - 8*l - 8. Suppose 6*p + 36 + 0 = 0. Let a be k(p). Suppose 0*u = 3*m + 3*u - 129, -a*m = -4*u - 172. What are the prime factors of m? 43 Let v(m) = -129*m - 102. List the prime factors of v(-6). 2, 3, 7 Let t = -1243 - -1787. Suppose -6*m + 50 + t = 0. List the prime factors of m. 3, 11 List the prime factors of (-525)/(-2) - 33/(-66). 263 Suppose 0 = 15*f - 10*f + 435. Let j = 37 - f. List the prime factors of j. 2, 31 Let l = -140 + 77. List the prime factors of 7/(l/(-12))*129. 2, 43 Let p = 117 + -110. List the prime factors of p/(126/(-60))*324/(-10). 2, 3 Suppose 4*s - 2*y = 0, -4*s - 3*y = -0*y. Suppose s = 6*l - 93 - 543. What are the prime factors of l? 2, 53 Let t(o) = -o**2 + 5*o. Let c be t(5). Let w = 262 + -259. Suppose -4*h + 105 = -c*f - 3*f, -2*h + 51 = -w*f. List the prime factors of h. 3 Let o(v) = 2*v**2 + 4*v**2 - 7*v - v**2 + 0*v**2. Let s be o(-3). Let i = -29 + s. List the prime factors of i. 37 List the prime factors of 60*(76/30)/((-15)/(-150)). 2, 5, 19 Let o be -11 + (0 - 4) + -3. Let f be o/(-45)*(-40)/(-2). Suppose -40 - f = -3*b. List the prime factors of b. 2 Suppose -534 + 1777 = 11*g. What are the prime factors of g? 113 Let w = 1911 + -310. List the prime factors of w. 1601 Let a(t) = 12*t**2 - 38*t + 8. What are the prime factors of a(6)? 2, 53 Suppose -2*v = -5*v - 57. Let b = v - -35. What are the prime factors of b? 2 Suppose 2*r = 5*m - 130, -2*r - 135 = -4*m - 3. Let u be -100 + 1 + 1 + -1. Let b = r - u. List the prime factors of b. 29 Let u(v) = v**3 - 11*v**2 + 11*v - 5. Let c be u(10). Suppose -c*f - 29 + 4 = 0. What are the prime factors of (-1)/1 - (f - 3)? 7 Suppose d - 4*r + 434 = 2*d, 5*d = -r + 2208. What are the prime factors of d? 2, 13, 17 Suppose 0 = 42*t + 50389 - 151147. List the prime factors of t. 2399 Let k(s) = 15*s**2 - 12*s - 12. Let t(y) = -16*y**2 + 13*y + 14. Let q(r) = 6*k(r) + 5*t(r). What are the prime factors of q(-5)? 283 What are the prime factors of (348/203)/((-6)/(-105))? 2, 3, 5 Suppose 6*h - 2068 = -5*h. Let d = -85 + h. What are the prime factors of d? 103 Let y(b) = b**3 - 6*b**2 + b - 1. Let a = -6 + 12. Let c be y(a). Suppose c*r = r + 60. List the prime factors of r. 3, 5 Let v be (-1)/5 - (-281)/5. Let z(f) = -f**3 - 23*f**2 - 23*f - 5. Let h be z(-22). Let s = v - h. List the prime factors of s. 3, 13 Suppose 3*a + 2*s + 240 = -s, 2*a + 3*s + 156 = 0. Let j = a + 194. What are the prime factors of j? 2, 5, 11 Suppose -5*h + 19 = -4*s, -2*h = 5*s + 5 - 39. Suppose m - 2*m - h = 0. Let w = m - -30. What are the prime factors of w? 23 List the prime factors of (3 - 19)*(402/(-4) + 2). 2, 197 Let l(n) = 51*n**3 - 5*n**2 + 6. List the prime factors of l(3). 2, 3, 223 Suppose 5*p = 763 - 38. List the prime factors of p. 5, 29 Suppose 5*i = 3*i - 2. Let o(q) = -11*q**2 + 2*q + 1. Let p be o(i). Let u = 40 + p. What are the prime factors of u? 2, 7 Let l = -17 - -40. Suppose -86 = -i + 5*q + l, 0 = -2*q - 2. What are the prime factors of i? 2, 13 Suppose l - 26 = -10. Suppose -5*f + 9 = -3*d - l, 2*f = -3*d + 10. Suppose -11 + 86 = 5*a + 4*k, d = 4*a - 2*k - 60. What are the prime factors of a? 3, 5 Suppose -4*h - 15642 = -5*c, 54*c = 51*c - h + 9392. What are the prime factors of c? 2, 5, 313 Suppose 46*x = -2*g + 50*x + 5356, 4*g - 10712 = 2*x. List the prime factors of g. 2, 13, 103 Let b = 11 - 11. Suppose -v - 2 = 1, b = -5*i + 4*v - 3. Let l = 5 + i. List the prime factors of l. 2 Let s be 22/(-99) - (-1847)/9. Suppose s*i = 204*i + 261. What are the prime factors of i? 3, 29 List the prime factors of 87256/130 - (2 + 4/(-5)). 2, 5, 67 Suppose c = 4*r - 5*r - 1, -2*c = 4*r. What are the prime factors of (-5 - c) + 16/2? 5 Let q(c) = 5*c + 1. Suppose -2*r + 6*r = 28. Let p(v) = v**3 - 6*v**2 - 7*v + 6. Let m be p(r). What are the prime factors of q(m)? 31 Let u(p) = 6*p**2 - 27*p - 323. What are the prime factors of u(28)? 5, 29 Suppose 4*i - 2*v = v - 160, -120 = 3*i - 3*v. Let z
{ "pile_set_name": "DM Mathematics" }
and y. 18 Suppose 8*l - 80 = 3*l. Let o be 8/(-28) + l/7. Calculate the highest common divisor of 10 and o. 2 Let a(q) = -3*q - 4. Let i be a(-6). Calculate the greatest common divisor of i and 154. 14 Let x be (242/(-55))/(2/(-30)). Calculate the highest common factor of 6 and x. 6 Suppose -m = 3*u - 12, 5*u = -11 - 14. Let s = m - 11. What is the highest common factor of 32 and s? 16 Suppose 0 = 54*v - 53*v - 33. What is the greatest common factor of v and 11? 11 Suppose -5*h + 3*d = -465, -4*h = -3*d + 4*d - 389. What is the greatest common divisor of h and 12? 12 Let a(w) be the first derivative of -w**4/4 - 4*w**3/3 + 5*w**2/2 + 6*w - 1. Let m = -3 - 2. Let l be a(m). Calculate the highest common divisor of 4 and l. 2 Let u be (1/(-2)*-2 + -2)*-9. Calculate the greatest common divisor of 72 and u. 9 Let b(u) = 2*u**3 - 7 + 0*u**3 - u + u**2 + 0*u**3 + u**3. Let f be b(3). Calculate the greatest common factor of f and 32. 16 Suppose 0 = -3*r - 14 + 53. Let o = r - 21. Let u = -5 - o. What is the highest common factor of u and 33? 3 Let i = 89 + -53. Calculate the greatest common factor of 36 and i. 36 Let s(r) = 5*r - 21. Let y be s(9). Let j = 34 - y. What is the highest common divisor of 25 and j? 5 Let c be (-24)/8*24/(-9). Calculate the greatest common divisor of 16 and c. 8 Let c = 78 + -41. Suppose -5*n - 3*x + 65 = 0, 3*x = -3*n + 8 + c. Calculate the greatest common factor of 20 and n. 10 Suppose a = 4*s + 219, -4*a + 2*s + 912 = -2*s. Calculate the greatest common factor of a and 33. 33 Let y = -14 - -22. Calculate the highest common divisor of 2 and y. 2 Suppose l = -8*o + 10*o - 125, 2*o - 4*l = 140. Let i(c) = 10*c**2. Let k be i(-1). What is the highest common factor of o and k? 10 Suppose -d = -2*d + 3*j + 298, 0 = 5*d - j - 1504. What is the highest common factor of 43 and d? 43 Let v(p) = -p**3 + 12*p**2 - 5*p + 4. Let y be v(11). Calculate the greatest common factor of y and 28. 14 Suppose -y + 21 = 4*u - 0*u, -5*u = -4*y + 21. Calculate the highest common factor of 63 and y. 9 Suppose -4*q + m + 61 = 0, -5*q - m + 74 = -0*m. What is the highest common divisor of 315 and q? 15 Suppose 24 = -2*w + 4*w. Let u be 5 - (3 - 2/2). What is the greatest common divisor of w and u? 3 Let v be (1/(-2))/((-2)/(-120)). Let x be 1/5 - 54/v. Suppose -26 = -b - x*q - 3*q, -3*b = 4*q - 56. What is the highest common divisor of b and 32? 16 Suppose 0 = -i + 71 + 83. Suppose 4*n - 53 = -4*v + 3*n, 0 = 4*n + 12. Calculate the highest common divisor of v and i. 14 Let n(x) = -x**3 - 6*x**2 + 1. Let g be n(-6). Let s be (g + -4)/6*-2. Suppose j + 4 = 0, 4*p + 5*j + 2 = -10. What is the greatest common factor of s and p? 1 Suppose -3*q = -q + 5*j - 38, q = -4*j + 22. Calculate the highest common factor of 28 and q. 14 Let v be ((-7)/(21/(-204)))/((-4)/(-2)). What is the greatest common factor of 51 and v? 17 Let b = -55 - -23. Let p be (b/(-12))/(2/12). Suppose 4*d + 0*d = 2*v - 2, 4*v - p = 2*d. What is the highest common divisor of d and 14? 2 Suppose 2*c = -6*s + s + 806, -317 = -2*s + c. Let m = 6 + 14. What is the highest common divisor of m and s? 20 Suppose -9*r - 76 = -5*r. Let k = -14 - r. Let c = 24 + -4. What is the greatest common factor of k and c? 5 Let u be 279 - (-1)/(-1)*-1. Suppose -8*y = -4*y - u. Let k = -22 + 36. What is the greatest common divisor of y and k? 14 Let p be 3/(6/(-2)) - 0. Let t be 0 - 1*106*p. Suppose 2*h + d = 237, -5*h + 4*h = 3*d - t. What is the greatest common factor of h and 11? 11 Suppose -2*i + 120 = i. Let d(g) = -g**3 + 5*g**2 - 5*g + 6. Let y be d(4). Let o be (-7 + y)*(-1 - 1). What is the greatest common divisor of i and o? 10 Suppose -4*r - 1 = -3*q - 0*q, -q = -2*r + 1. Suppose -q*p + 2*j = -48, -4*j - 9 + 3 = -p. What is the greatest common factor of p and 162? 18 Let s be 92/2 + (-5 - -7). Calculate the greatest common divisor of 6 and s. 6 Let r be (165/44)/(6/16). Let k(q) = -19*q + 1. Let g be k(-1). Calculate the greatest common factor of r and g. 10 Let d = -1 - -8. Let k = -5 + d. Suppose 7*u = k*u + 150. What is the highest common divisor of 10 and u? 10 Suppose -2*a = -7*a + 735. Calculate the greatest common divisor of 21 and a. 21 Suppose -4*l = t - 86, -5*l + 70 + 33 = -t. What is the greatest common divisor of l and 14? 7 Let u(k) = -k**2 + 5*k - 3. Let s = 9 + -5. Let n be u(s). Let a be 4 - (2 + -1)*n. What is the highest common divisor of 1 and a? 1 Let q be 9/2*(-4)/(-6). Suppose -q*p - f + 190 = f, 123 = 2*p + 5*f. Calculate the greatest common divisor of 8 and p. 8 Let p(k) = -k**2 - 7*k + 4. Let r be p(-6). Let b be 3/12 - (-78)/8. What is the highest common divisor of b and r? 10 Let u = 5 + 15. What is the highest common divisor of u and 50? 10 Let l = -407 - -572. What is the highest common factor of l and 15? 15 Let q(a) be the second derivative of -a**3/2 - a**2 + 2*a. Let x be q(-1). What is the highest common divisor of 4 and x? 1 Let w be 18/4 + (-6)/4. Suppose 0*j + 36 = w*j. Calculate the highest common factor of 96 and j. 12 Let z be 459/5 - 3/(-15). Let p be -1 - (0 - 4*6). What is the greatest common divisor of z and p? 23 Let z be 4*(-23)/4*-1. Suppose -2*q - 5*j + 439 = -0*q, 5*q = 5*j + 1010. What is the greatest common divisor of z and q? 23 Let q be 15/(-3)*78/(-15). Suppose 4*d + 6 + q = 0. Let y = -1 - d. Calculate the greatest common divisor of y and 77. 7 Let m be 0 + (-5)/(10/(-8)). Suppose -2*n + m = 0, 3*n - 12 = -3*u - 0. What is the greatest common factor of 10 and u? 2 Let f be (-423)/(-5) + 8/20. Calculate the greatest common factor of f and 17. 17 Suppose 3*f - 4*f = -5. Let w = f + -6. Let y be -1 + 1/(w/(-2)). What is the highest common factor of y and 7? 1 Let h(d) = d**2 + 1. Suppose 0*v = -5*v. Suppose -3*a + 1 + 2 = v. Let z be h(a). What is the highest common divisor of z and 16? 2 Let m be 11190/75 + (-4)/(-5). Calculate the highest common divisor of m and 30. 30 Let c(a) = -21*a + 31. Let y be c(-9). Suppose 0 = 3*g + 34 - 94. Calculate the highest common factor of y and g. 20 Let g(q) = q**3 - 4*q**2 + 4*q - 2. Let c be g(3). Let j be 18*c/(6/20). Calculate the greatest common divisor of 20 and j. 20 Let s(t) = 2*t + 14. Let n be s(0). Suppose 0 = 3*k - 41 + n. Let x = 209 - 137. What is the highest common factor of k and x? 9 Suppose -4*v = 4*p, p + 3*p + 25 = v. Suppose 2*h = 5*f - 808, 0 = 2*f - v*h - 0*h - 319. Calculate the greatest common divisor of f and 18. 18 Suppose 2*k = 2*u - 122, 5*u - k + 0*k = 325. Let b be (-4 - 0)/((-4)/22). What is the highest common factor of b and u? 22 Suppose 3*v = 2*a + 40, a + a = -4. Calculate the greatest common factor of v and 96. 12 Let g(p) = -9*p - 4. Let m(a) = 14*a + 6. Let r(s) = -8*g(s) - 5*m(s). Let i be r(2). Calculate the greatest common divisor of 9 and i. 3 Suppose 12*x + 51 = 9*x. Let p = -15 - x. Calculate the highest common divisor of 14 and p. 2 Let w be (5 - 1)/(1 - 2). Let f(m) = -2*m + 4. Let u be f(w). What is the highest common factor of u and 84? 12 Suppose 0 = r + 11 - 27. What is the greatest common divisor of 8 and r? 8 Let k = -26 - -45. Suppose 0 = 4*y + 4*c - 444, 5*c = y - 136 + k. Suppose 0*p - 28 = -2*p. What is the greatest common divisor of y and p? 14 Suppose 3*x = 16 + 74. Suppose z + 14 = 3*z. Let k be 2/z + 103/7. Calculate the greatest common divisor of k and x. 15 Suppose 3*h + 2*h + 30 = 4*o, -4*o = h - 18. Let r = -1 - h. Let v be 4/(-14) - (-37)/7. Calculate the greatest common factor of r and v. 1 Let u be -3*3/9*-25. Suppose -2*f - 650 = -2*n - 200, f = 2*n - 450. What is the highest common factor of n and u? 25 Suppose 2*i - 2*j - 8 = 0, 4*i - 9 = 2*j + 11. Suppose -z - 20 = -4*s + 2, 2*s - 2 = 5*z. What is the greatest common factor of s and i? 6 Let d be 1/6 + 639/54. Let s be d/16 + (-387)/(-12). Calculate the greatest common factor of 3 and s. 3 Let p be (8/16)/(2/92). What is the greatest common divisor of 23 and p? 23 Let l = 14 + -10. Let q(j) be the first derivative of 2*j**3/3 - 3*j**2 + 3*j - 2. Let y be q(l). Calculate the highest common divisor of 1 and y. 1 Suppose 0*y + 5*y - 20 = u, 5*u = 5*y. Calculate the greatest common divisor of 55 and y. 5 Let b = 772 + -136. Let g be b/30 - 1/5. Calculate the highest common factor of g a
{ "pile_set_name": "DM Mathematics" }
3*c, -2*c - 1697 = -n*q. What is the units digit of q? 9 Let y = 10487 - 5472. What is the units digit of y? 5 Suppose 3*x - 11553 = -5*m + 6149, 4*m - 3*x = 14167. What is the units digit of m? 1 Let g(z) = -3*z**3 - 32*z**2 + 13*z + 16. Let q be g(-11). What is the units digit of (-30)/(-45) + (-4148)/q? 2 Suppose -9 = -3*y + 3, 51 = -5*g - y. What is the hundreds digit of (-47250)/(-77) + (-4)/g? 6 Let w = -19914 - -56990. What is the hundreds digit of w? 0 Suppose -55 + 11 = 2*d. Let o = -12 - d. Suppose -968 = 2*x - o*x. What is the tens digit of x? 2 What is the tens digit of (-4)/10*-857*(-127 + 137)? 2 Let x = -1230 - -2900. Suppose 68*y - x = 63*y. What is the hundreds digit of y? 3 Suppose -2*s + 7*s = 0. Suppose s = -6*r + 2*r. Suppose 0 = 2*l - 4*w - 6, r = -3*w - 3. What is the units digit of l? 1 Let a = -32439 - -40831. What is the hundreds digit of a? 3 Let s(c) = -5*c**3 + c**2 + 20*c - 23. Suppose -5*i - 11 = 9. Let v(r) = -2*r**3 + 7*r - 8. Let b(t) = i*s(t) + 11*v(t). What is the tens digit of b(-4)? 8 Let a be (6 - 9)*(-1)/2*2. Suppose 2*v + v + 3*i = 924, -2*i = -a*v + 929. What is the tens digit of v? 0 Let p(z) = z**3 + 9*z**2 + 11*z + 7. Let b = -10 - -4. Let x be p(b). Suppose -x = -3*v + 233. What is the tens digit of v? 9 Suppose -3*f + 369 = -3*t, 3*f + 3*t - 471 = -f. Let c = -120 + f. Suppose 5*o - k - 815 = 0, c = o + 5*k - 9*k - 182. What is the tens digit of o? 6 Let s be 1/((-6)/99)*-68. Suppose 0 = -5*y + 12 + 3. Suppose y*o = -8*o + s. What is the units digit of o? 2 Suppose 11*h = 7*h, -2*f + 1852 = -5*h. What is the hundreds digit of f? 9 Let z be 3/(-4*(-7)/28). Let w(v) = 28*v**2 - 14*v + 36. What is the units digit of w(z)? 6 Let j be (-27)/(-6)*20/(-15) + 1. Let i(u) = -72*u + 100. What is the hundreds digit of i(j)? 4 Suppose 160*w + 3*b = 158*w + 35242, -4*w + 5*b + 70506 = 0. What is the hundreds digit of w? 6 Let f be 1/((2 - 0)/(-142)). Let o = f + 74. What is the tens digit of ((-11)/o)/((-4)/144)? 3 Suppose -29*r - 44424 = -3*y - 26*r, y = 4*r + 14802. What is the units digit of y? 0 Let m = 150 + -145. Let f(d) = 24*d - 7. Let x(c) = -24*c + 6. Let l(z) = -3*f(z) - 4*x(z). What is the tens digit of l(m)? 1 Suppose 2*q + w = -2*q + 381, 5 = w. Suppose -10348 + 2120 = -50*z + 2372. Suppose -d - 2*l = -q, 4*l - 2*l + z = 2*d. What is the tens digit of d? 0 Suppose -2*m + 5*a - 16 = 0, m + a = -0*a + 6. Suppose 0*f - m = -f. Suppose 3*z + 203 = 2*u, 4*u = z + f*z + 403. What is the hundreds digit of u? 1 Let r(l) = l**3 - 7*l**2 - 5*l - 22. Let v = -129 + 137. Let x be r(v). What is the tens digit of x + (-1 - 972/(-6))? 6 Let r be (-2)/4 + (-2)/(-4). Suppose -2*b + 2010 = -r*b. Suppose 7*p - b = -172. What is the hundreds digit of p? 1 Let l = -6573 - -6760. What is the units digit of l? 7 Let d = -33779 - -47316. What is the ten thousands digit of d? 1 Let i(p) = 11*p**2 + 1. Let q(h) = -4*h**2 - 39*h + 16. Let k be q(-10). What is the tens digit of i(k)? 9 Suppose 0 = 2*m - 1239 - 1225. Suppose -105*z = -98*z - m. What is the hundreds digit of z? 1 Let s = 6036 + 40782. What is the units digit of s? 8 Let r(j) = -15*j**2 + 0*j**3 - 16*j + 17*j + 9*j**2 - 21 - 3*j**3. What is the hundreds digit of r(-6)? 4 Suppose 44*b - 534933 = -51*b + 32*b. What is the units digit of b? 1 Suppose -11*s = -2*s. Suppose 4*c + 2 - 10 = -2*a, s = -c + 2*a + 2. Suppose j = 1, -c*w - 2*w - j = -457. What is the hundreds digit of w? 1 Let t = 9 - 20. Let k(i) = -13*i**2 + 4 + 5*i + 6*i**2 + 8*i**2. What is the units digit of k(t)? 0 Suppose 4*d + 4*n = 34484, -6772 = 2*d + 5*n - 24008. What is the thousands digit of d? 8 Suppose 35*d - 103*d + 2917336 = 84*d. What is the thousands digit of d? 9 Let b(v) = -v**3 + 17*v**2 - 2*v + 28. Let y be b(14). Let c = y - 337. Suppose 0 = k + 4*k + 2*w - 1247, -2*w = k - c. What is the units digit of k? 9 Let s be 15*(147/98 + (-1)/2). Let k(c) = -c + 1. Let n(j) = j + 28. Let v(d) = -2*k(d) + n(d). What is the tens digit of v(s)? 7 Let w = -13 - -13. Let m(v) = -3*v + 2*v**2 + 4 + w*v**2 - v**2 + 18*v. What is the units digit of m(-15)? 4 Suppose -3*h = -5*i - 25, -3*h + 0*h = 2*i + 10. Suppose h*a - 3*a - 4*d + 787 = 0, 0 = 2*a - d - 532. What is the tens digit of a? 6 Let y(q) = -q + 1. Let r(x) = -x - 21. Let f(t) = -r(t) - 2*y(t). Let p be f(-4). What is the units digit of (6 + 7 + -6)*2/p? 2 Let u be (27/12)/((-3)/12). Let b = -9 - u. Let r(d) = -d**2 + d + 48. What is the tens digit of r(b)? 4 Suppose 2*x = -4*i + 4514, 0 = -3*x + 3. Let j = i - 578. Suppose -5*w + j + 185 = 0. What is the units digit of w? 7 Let p be (-48)/(-42) - (-56157)/(-21). Let v = p + 3786. What is the hundreds digit of v? 1 Suppose 15*h = -1414 + 6109. Let r = -166 + h. What is the hundreds digit of r? 1 Let d(j) = 14*j - 1. Let s be d(9). Suppose w - 2*h + 5*h + 4 = 0, 3*w = -5*h. Suppose 0 = 5*y + 2*c - s, -c + 0*c = w*y - 130. What is the tens digit of y? 2 Let m(j) = 14455*j - 58. What is the thousands digit of m(2)? 8 Let r = 700 - -5065. What is the hundreds digit of r? 7 Let r = 257 + -487. What is the units digit of (r/(-6))/(12/108)? 5 Suppose 93*a - 18 = 99*a. Suppose -4*v + k + 5 = 20, 0 = 4*v - 3*k + 21. What is the units digit of v + (-420)/(a - 1)? 2 Suppose -1980 + 261 = -9*i. Suppose 0 = q - 2*q + i. What is the tens digit of q? 9 Let k = -19756 + 36485. What is the thousands digit of k? 6 Suppose 119406 = 5*j + 5*l - 49554, 2*j - 2*l = 67608. What is the thousands digit of j? 3 Suppose 3*n + 4*i = 543, 3*n = -0*n + 2*i + 543. Let f = n + 510. What is the units digit of f? 1 Suppose -4*v - 4*m = -22060, 0 = -3*m - 30 + 21. What is the units digit of v? 8 Let y = -128 + 126. What is the hundreds digit of ((24/(-8))/6)/(y/608)? 1 Suppose 2*b - 20 = -3*j, 0 = -2*j + 5*j. Suppose m - 1 + 3 = 0, n = 5*m + b. Suppose -6*s = -n*s - 1218. What is the tens digit of s? 0 Suppose 271433 = 5*o - 4*j, -8*o = -16*o + 4*j + 434300. What is the thousands digit of o? 4 Let g = -90 - -93. Let u be (1/g)/(20/(-120)). What is the tens digit of (-256)/6*(-3 - u - 5)? 5 Let l(z) = -1918*z + 5023. What is the ten thousands digit of l(-21)? 4 Suppose -6 = -2*b, -48*b = f - 53*b - 1334. What is the hundreds digit of f? 3 Let b be 230 + (-6 + 6 - -2). What is the units digit of 122467/b + 1/8? 8 Let c(g) = 30*g - 60. Let u(x) = x**2 - 22*x + 124. Let o be u(9). What is the hundreds digit of c(o)? 1 Let q(t) = 3*t**3 - 32*t**2 + 41*t + 65. What is the thousands digit of q(23)? 0 Suppose -2*t + 5*j = -24 + 9, -t + 5*j + 10 = 0. Suppose 4*y - 2*f = 796, 0*y = 5*y - t*f - 985. What is the hundreds digit of y? 2 Let k(b) = -14*b**3 + 5*b**2 + 12*b + 7. Let p be k(-3). Suppose 4*x - 5*r - 788 = 0, -31*x + 29*x = -4*r - p. What is the tens digit of x? 9 Let a be 0 + ((-468169)/(-9) - (-86)/387). Suppose a = 31*r + 17020. What is the thousands digit of r? 1 Let k = 91203 + -38497. What is the units digit of k? 6 Let y(v) = v**2 + v - 15. Let x be y(-3). What is the hundreds digit of (-103740)/(-90) - 12/x? 1 Let g(o) = 3*o - 13. Let i be g(9). Suppose -20 + 36 = 8*n. Suppose 0 = -n*c + m + i - 5, -20 = 4*m. What is the units digit of c? 2 Let p(y) = -11*y - 1. Suppose 0 = -2*a - 8, -a + 20 = 5*f - 16. Suppose -f = 2*s - 0. What is the units digit of p(s)? 3 Let i(v) = v**3 - 74*v**2 + 41*v + 238. What is the units digit of i(74)? 2 Let f(y) = -6*y + 43. Let d be f(6). Suppose 10*c - d*c = 393. What is the hundreds digit of c? 1 Let d be (-30)/(-34) + (-24)/(-204). Suppose o = -4, -48 + d = -p - 3*o. What is the tens digit of p? 5 Let b be 1/((7 - 4)/6). Suppose -5*q + b*r + 1181 = -0*r, 2*q + r = 476. Suppose q + 75 = 5*k + 2*f, -181 = -3*k + 5*f. What is the units digit of k? 2 Suppose -3*q + 39 - 15 = 4*p, -q + 13 = 3*p. Suppose -5*v + 2565 = s, -4*v + 1072 + 991 = p*s. What is the tens digit of v? 1 Let j = 16002 - 12530. What is the thousands digit of j? 3 Suppose -3*q = 3*u + 54, u + 3*u + 3*q + 68 = 0. Let k(n) = 15*n - 20. Let c be k(u). Let i = c - -503. What is the units digit of i? 3 Let n = -227 + 129. What is the hundreds digit of ((-1)/(6/1348))/(n/147)? 3 Let y(h) = h**2 + 13*h - 1. Let p be y(-13). What is the tens digit of p - ((-139)/1 + 1)? 3 Let f(x) = 45*x**3 - 23*x**2 + 218*x - 4. What i
{ "pile_set_name": "DM Mathematics" }
qrt(204) + 1*sqrt(204))/sqrt(12))**2. 12*sqrt(17) + 145 Simplify 1 + sqrt(80) - ((sqrt(180)/sqrt(3) - sqrt(60))/sqrt(12))**2. 1 + 4*sqrt(5) Simplify (2*sqrt(36) + sqrt(36))/sqrt(192). 3*sqrt(3)/4 Simplify 5*(sqrt(5) - (sqrt(5) + 1)) + (1*sqrt(5) + -3)**2. -6*sqrt(5) + 9 Simplify 5*((sqrt(3) + (sqrt(9)*-1)/sqrt(3))**2 + 0 + sqrt(6)/sqrt(2)). 5*sqrt(3) Simplify (sqrt(228) + (sqrt(228) - (-2*sqrt(228) - sqrt(228)))*1 + sqrt(228))/((sqrt(12) - 1*sqrt(12))*2 + sqrt(12)). 6*sqrt(19) Simplify (sqrt(114)/sqrt(6))**2*5 + ((3 + sqrt(19) - sqrt(19)) + sqrt(19))*5. 5*sqrt(19) + 110 Simplify (sqrt(24)/(sqrt(8) - 4*sqrt(8)))**2*4. 4/3 Simplify ((sqrt(99) + -1)**2 - sqrt(99) - sqrt(99)) + sqrt(99) + (sqrt(99)*1)**2. -9*sqrt(11) + 199 Simplify ((-6*(sqrt(143) - (sqrt(143) - sqrt(143)*-4)) - sqrt(143))/sqrt(11))**2. 6877 Simplify (-2*sqrt(3))**2*-1*-3. 36 Simplify (sqrt(224)/sqrt(2))**2 - (2 + sqrt(1008)). -12*sqrt(7) + 110 Simplify (-2*sqrt(396)*-2*2)**2. 25344 Simplify (sqrt(192) - 1*sqrt(12))**2. 108 Simplify (((sqrt(130) + (-1*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130))*-1)/(-4*(sqrt(10) - -2*sqrt(10))))**2. 13/144 Simplify (3*(sqrt(19) - (sqrt(95)/(sqrt(45)/sqrt(9)) + sqrt(19))))**2. 171 Simplify 0 + (-3 + sqrt(425) + sqrt(425))**2. -60*sqrt(17) + 1709 Simplify ((sqrt(63)/sqrt(7))/sqrt(3) - sqrt(3)) + sqrt(3) - (4*sqrt(3)*1)**2. -48 + sqrt(3) Simplify (sqrt(363) - (sqrt(363) + -1*2*sqrt(363) - sqrt(363)))**2 + (sqrt(108)*2)/sqrt(9). 4*sqrt(3) + 3267 Simplify (((sqrt(324)*1)/sqrt(9))/(2*sqrt(108))*5)**2. 25/12 Simplify (-5*(-5*(0 + sqrt(171)) + sqrt(171) + 1*(0 + sqrt(171))))**2. 38475 Simplify (((sqrt(170) + sqrt(170)*-1 + sqrt(170))*4 + sqrt(170) - sqrt(170)) + sqrt(170))/sqrt(10)*-6*-1. 30*sqrt(17) Simplify (-1*sqrt(1225))/sqrt(7). -5*sqrt(7) Simplify (-5 + -3 + sqrt(162))*2. -16 + 18*sqrt(2) Simplify -4*-3*(0 + sqrt(275)). 60*sqrt(11) Simplify -2 + ((0 + sqrt(76) + sqrt(76))*-5 + sqrt(76) - sqrt(76))**2. 7598 Simplify (-6*(sqrt(468) + 3))**2. 1296*sqrt(13) + 17172 Simplify (2*sqrt(1620) - sqrt(1620) - sqrt(1620))/(sqrt(10) + (sqrt(60) + sqrt(180)/sqrt(3) + sqrt(60))/sqrt(6)). 0 Simplify (-4*sqrt(468) + 2)**2. -96*sqrt(13) + 7492 Simplify 2 + sqrt(20)/(sqrt(90) + sqrt(90)*4). sqrt(2)/15 + 2 Simplify (-5*-3*sqrt(425)*-6)**2. 3442500 Simplify -2*sqrt(12)/(1*4*sqrt(4)). -sqrt(3)/2 Simplify (sqrt(336) + sqrt(336)*2)/sqrt(7)*6. 72*sqrt(3) Simplify (3*(sqrt(13) + (3*sqrt(65))/sqrt(5)))**2. 1872 Simplify ((sqrt(90)*-2 + sqrt(90))/sqrt(6))/(3*sqrt(3)*4). -sqrt(5)/12 Simplify -2*sqrt(72) - 1*sqrt(200). -22*sqrt(2) Simplify (1*sqrt(171)*3 - sqrt(171))/(sqrt(72)/(sqrt(32)/sqrt(4) + sqrt(8))). 4*sqrt(19) Simplify (sqrt(33)/sqrt(3)*-1*3*3)**2. 891 Simplify ((sqrt(56) - sqrt(336)/(sqrt(18)/sqrt(3)))/(-2*sqrt(512)))**2. 0 Simplify ((2 + sqrt(1216))**2 + sqrt(19)*-1 + sqrt(19) + 2)*2. 64*sqrt(19) + 2444 Simplify sqrt(102)/((sqrt(24) - sqrt(192)/sqrt(8)) + sqrt(24)). sqrt(17)/2 Simplify sqrt(6)/sqrt(2) + sqrt(3) + 1 - -2*(sqrt(3) + 1 - sqrt(3)). 3 + 2*sqrt(3) Simplify -5*((sqrt(13) - (sqrt(468) + -1))*-2)**2. -6520 + 200*sqrt(13) Simplify 1*(sqrt(72) + sqrt(72) + -2 + -2 + sqrt(72)). -4 + 18*sqrt(2) Simplify 3 + ((sqrt(325) - sqrt(325)*1) + -2)**2. 7 Simplify (-5 + sqrt(88)/sqrt(8))**2 + -2*sqrt(704). -26*sqrt(11) + 36 Simplify (1*sqrt(768))**2. 768 Simplify (-3 + sqrt(11) + sqrt(99) + sqrt(11) + sqrt(11))**2 - sqrt(22)/(sqrt(2) + sqrt(18)). -145*sqrt(11)/4 + 405 Simplify 2 + 4*sqrt(14)/sqrt(7) + -4*sqrt(162). -32*sqrt(2) + 2 Simplify (6*sqrt(153))**2 - sqrt(17) - (sqrt(17) - (sqrt(17) - (sqrt(17) + -3*(sqrt(17) - -5*sqrt(17) - sqrt(17)))**2)). -sqrt(17) + 2176 Simplify (1 + sqrt(128) - sqrt(128)) + sqrt(2) - (sqrt(18) + -5 - sqrt(2)). -sqrt(2) + 6 Simplify ((((sqrt(68) - (sqrt(68)*1 - sqrt(68))) + sqrt(68))*1)/sqrt(4))**2. 68 Simplify (0 + sqrt(3)*-1)**2 + ((-1*-1*sqrt(3))**2 - sqrt(3)) + 4. -sqrt(3) + 10 Simplify ((-1*sqrt(245))**2 + sqrt(245) + 2)*1. 7*sqrt(5) + 247 Simplify -3 + sqrt(10)/sqrt(45). -3 + sqrt(2)/3 Simplify (-6*sqrt(68)/sqrt(4) - sqrt(17)) + sqrt(17) - (-1 + (sqrt(68))**2). -67 - 6*sqrt(17) Simplify ((-2*sqrt(7) + sqrt(7))*-2)**2 + ((-1 + sqrt(7))*-5 - sqrt(7)). -6*sqrt(7) + 33 Simplify -3 + (2 + sqrt(200) - sqrt(200)). -1 Simplify ((1*sqrt(80))/sqrt(4))/(sqrt(640)*-1 + sqrt(10)). -sqrt(2)/7 Simplify -3*((1*sqrt(40)*1)/sqrt(8) + 2). -3*sqrt(5) - 6 Simplify sqrt(187)/(sqrt(44)/sqrt(4)) + (sqrt(17) - (sqrt(17) + (sqrt(119)*-2)/sqrt(7))). 3*sqrt(17) Simplify (-3*-2*(sqrt(147) - -3*sqrt(147)))**2. 84672 Simplify (sqrt(121)/sqrt(539) + -3)**2. -6*sqrt(11)/7 + 452/49 Simplify (sqrt(162)/(sqrt(24) - sqrt(6)))/(-3*sqrt(729)). -sqrt(3)/27 Simplify -5*((sqrt(162) - (sqrt(162) - sqrt(162)*2)) + -1)**2. -3245 + 180*sqrt(2) Simplify (sqrt(75)/(sqrt(6)/sqrt(2) + sqrt(3)))/sqrt(5). sqrt(5)/2 Simplify sqrt(35)/(sqrt(55)/sqrt(176)). 4*sqrt(7) Simplify (-5*sqrt(117))**2*-2. -5850 Simplify -6*sqrt(15)/sqrt(12). -3*sqrt(5) Simplify (1 + sqrt(1008) + 0)**2 + 2. 24*sqrt(7) + 1011 Simplify (4 + sqrt(77)/(sqrt(33)/sqrt(3)))**2. 8*sqrt(7) + 23 Simplify (sqrt(308)/sqrt(7) + 3)**2. 12*sqrt(11) + 53 Simplify -4*(sqrt(2) - (sqrt(10)/(sqrt(30)/sqrt(6)) - sqrt(2)))**2. -8 Simplify (sqrt(121) - (-3*sqrt(121)*2 - sqrt(121)))/sqrt(11) + -5 + sqrt(11)*2*6. -5 + 20*sqrt(11) Simplify 4 + sqrt(2) + -2 + -4. -2 + sqrt(2) Simplify ((sqrt(135)/(sqrt(18)/sqrt(2)))/(-1*sqrt(300)))**2. 1/20 Simplify sqrt(1008)*-3 - (-3 + (-1 + sqrt(7))**2). -34*sqrt(7) - 5 Simplify (5*sqrt(2268))/sqrt(9). 30*sqrt(7) Simplify (sqrt(65) - (sqrt(65) + (sqrt(65)*2 - sqrt(65)) + sqrt(65))*-3)/(sqrt(5) - sqrt(55)/(sqrt(44)/sqrt(4)) - sqrt(5)). -10*sqrt(13) Simplify (2 + sqrt(2057) + sqrt(2057)*2 + -1)**2. 66*sqrt(17) + 18514 Simplify ((sqrt(140) + -2*sqrt(140))/sqrt(10))/sqrt(2). -sqrt(7) Simplify (-2*sqrt(187)*-4)/(2*sqrt(11)*2). 2*sqrt(17) Simplify -4 + ((-1*sqrt(448) + sqrt(448))*-6)**2 + 4. 0 Simplify -5*(2 + sqrt(304))*-6. 60 + 120*sqrt(19) Simplify 3*sqrt(7)*1 + (sqrt(7) - (sqrt(14) + sqrt(112)/sqrt(8))/sqrt(2)). 2*sqrt(7) Simplify (sqrt(2) + 1 + 0)**2 + (sqrt(4)/sqrt(2) + 0)**2. 2*sqrt(2) + 5 Simplify -2*((sqrt(44) + -1)**2 + (sqrt(132)*-2)/sqrt(12)). -90 + 12*sqrt(11) Simplify (sqrt(539) + 2)**2 + sqrt(11) - 3*(sqrt(176))**2. 15 + 29*sqrt(11) Simplify 2 + (sqrt(19) - (4 + sqrt(171))) + 4. -2*sqrt(19) + 2 Simplify ((sqrt(3744) - -1*sqrt(3744))/(-2*sqrt(2)*-6))**2. 52 Simplify (-5 + (2*sqrt(55))/sqrt(5) + sqrt(176) + -2)**2. -84*sqrt(11) + 445 Simplify (4*(sqrt(539) + 2*sqrt(539)) + ((sqrt(539) - sqrt(539)*2 - sqrt(539) - sqrt(539)) + sqrt(539))*-1)**2. 105644 Simplify 0 + (sqrt(228)/sqrt(192) - (sqrt(209) + (-2*sqrt(209) - sqrt(209)))/sqrt(11)). 9*sqrt(19)/4 Simplify (4*sqrt(125) + -2 + 2)**2. 2000 Simplify 4*(sqrt(75) + 1)**2*-3. -912 - 120*sqrt(3) Simplify sqrt(133)/(sqrt(7)*-1*-4)*1. sqrt(19)/4 Simplify ((sqrt(5) - sqrt(245)*4)**2 - sqrt(40)/(sqrt(32)/sqrt(4)))*5. -5*sqrt(5) + 18225 Simplify ((sqrt(9) + (sqrt(9) - (sqrt(9)*-2*3 + sqrt(9))))/(sqrt(363)*3))**2. 49/363 Simplify -5 + -2 + (-2*sqrt(475))**2 + sqrt(475). 5*sqrt(19) + 1893 Simplify (-1 + sqrt(605))**2 + 0. -22*sqrt(5) + 606 Simplify (sqrt(304)*6 + sqrt(38)/(sqrt(2)*-1))**2. 10051 Simplify sqrt(33)/(-3*sqrt(275)). -sqrt(3)/15 Simplify (3*((sqrt(136) - 1*sqrt(136))*-1)/sqrt(8))**2. 0 Simplify -1*sqrt(13)*-2 + sqrt(1300)*1. 12*sqrt(13) Simplify (sqrt(126)/sqrt(3))/sqrt(6) - (sqrt(21)*-1)/sqrt(3). 2*sqrt(7) Simplify ((-2*sqrt(190))/sqrt(10) + sqrt(171)/sqrt(225) + 5)**2. -18*sqrt(19) + 2164/25 Simplify 0 + sqrt(19)*-2 - (sqrt(95)*-2 + sqrt(95))/sqrt(5). -sqrt(19) Simplify (-1 + sqrt(300)*1 + ((sqrt(300) - (-1 + sqrt(300) + sqrt(300))) + sqrt(300))*-6)**2. -140*sqrt(3) + 349 Simplify -2*(4*(sqrt(1216) + sqrt(1216) + -1))**2. -155680 + 1024*sqrt(19) Simplify (2 + (-1 + sqrt(76))*2)**2. 304 Simplify (3 + sqrt(3)*-4)**2 - 1*sqrt(192). -32*sqrt(3) + 57 Simplify 2*4*(-3 + sqrt(1008)). -24 + 96*sqrt(7) Simplify (sqrt(1377) + 0 + sqrt(1377))**2 + sqrt(17) + 1 + sqrt(2057) + sqrt(17). 13*sqrt(17) + 5509 Simplify sqrt(33)/(sqrt(88)/sqrt(128)). 4*sqrt(3) Simplify (sqrt(8) + (-5*sqrt(16)/sqrt(2) - sqrt(8)))/(6*(sqrt(4) + sqrt(4) + 1*sqrt(4))). -5*sqrt(2)/18 Simplify 3*sqrt(28)/sqrt(4) + (sqrt(70) + (sqrt(70) - (1*sqrt(70) + sqrt(70))))/sqrt(10). 3*sqrt(7)
{ "pile_set_name": "DM Mathematics" }
he terms in -18 - 7416*u + 20 - 71566*u. -78982*u + 2 Collect the terms in -82*v**3 + 22*v**2 - 13*v**2 + 13*v - 9*v**2. -82*v**3 + 13*v Collect the terms in -980*n - 36148*n**2 + 980*n. -36148*n**2 Collect the terms in 2*k**2 - 4*k**2 + 2614*k**3 + 2*k**2. 2614*k**3 Collect the terms in -153*o**2 - 66*o**2 + 15*o**2 - 44*o**2. -248*o**2 Collect the terms in 385*u - 84*u + 99*u + 128*u. 528*u Collect the terms in 2555*u**2 + 826*u**2 - 152*u**2. 3229*u**2 Collect the terms in -4*k**3 - 136782*k + 2*k**3 + 136782*k. -2*k**3 Collect the terms in -70*j**3 + 25*j**3 + 16*j**3 + 27*j**3. -2*j**3 Collect the terms in -14 + 14 - 3827*b. -3827*b Collect the terms in 980*l**2 - 5 + 0*l - l - 461*l**2. 519*l**2 - l - 5 Collect the terms in 0*s**3 + s**3 + 24 - 261 - 194. s**3 - 431 Collect the terms in 85*v + 120*v - 289*v + 87*v. 3*v Collect the terms in -19*w**2 + w**3 - 3*w - 247*w**2 - 65*w**2. w**3 - 331*w**2 - 3*w Collect the terms in -51*b**2 + 29*b**2 + 9*b**2 + 17*b**2. 4*b**2 Collect the terms in -12*r + 6*r - 10*r - 11*r. -27*r Collect the terms in -66 - 1148*c**2 + 66. -1148*c**2 Collect the terms in -6 - 91*u - 11 - 14 + 33. -91*u + 2 Collect the terms in -6*x**2 - 39*x + 130*x - 16*x - 37*x - 35*x + 0*x**2. -6*x**2 + 3*x Collect the terms in 470*p - 470*p + 59*p**3 - 713*p**3. -654*p**3 Collect the terms in 0*v + v - 4303605*v**2 - v + 4303607*v**2. 2*v**2 Collect the terms in -3*p**3 - p**3 + 14*p**3 + 5. 10*p**3 + 5 Collect the terms in 5*a**3 + 11*a**3 - 250975*a + 501950*a - 250975*a. 16*a**3 Collect the terms in 0 - 6 + 6 + 186239*m - 186229*m. 10*m Collect the terms in 5*y**2 - 168445*y + 168433*y - 7*y**2. -2*y**2 - 12*y Collect the terms in 747411 - 747411 - 18*w**2 + 14*w**2. -4*w**2 Collect the terms in 37*c - 86*c - 644*c**3 + 49*c - 950*c**3. -1594*c**3 Collect the terms in -618*m + 1853*m - 621*m - 1 - 619*m. -5*m - 1 Collect the terms in -85*w**3 - 107*w**3 + 169*w**3. -23*w**3 Collect the terms in -18*c**2 - 13*c + 4*c**2 - 7*c**2 + 6*c. -21*c**2 - 7*c Collect the terms in -1221 + 1187 - 3*y**3 + 2590. -3*y**3 + 2556 Collect the terms in -9 + 9 + u + 4*u + 66*u. 71*u Collect the terms in -5854*a + 3521*a + 2333*a - 3*a**2. -3*a**2 Collect the terms in 2*r**2 - 302*r**2 + 296*r**2. -4*r**2 Collect the terms in -1451 - 6*t**2 + 5*t**2 + 3*t**2. 2*t**2 - 1451 Collect the terms in 231758*v - 8*v**2 - 463530*v + 231766*v. -8*v**2 - 6*v Collect the terms in 72 + 69 - 204 + 22*d**2 + 63. 22*d**2 Collect the terms in -53*y - 38*y + 35*y - 50*y - 10*y. -116*y Collect the terms in 73 - 284*w**2 + 73 - 146. -284*w**2 Collect the terms in -2*y**2 + y**2 + y**2 - 1212*y**3. -1212*y**3 Collect the terms in 198*i - 670*i + 189*i + 289*i. 6*i Collect the terms in 6939*b - 13883*b + 37*b**2 + 6944*b. 37*b**2 Collect the terms in 439*p + 10*p**2 - 887*p + 435*p. 10*p**2 - 13*p Collect the terms in -t + 407 + 598 + 64. -t + 1069 Collect the terms in 9852 + 636*f - 639*f - 9852. -3*f Collect the terms in -131 + 9*d**3 + 3*d**2 + 131. 9*d**3 + 3*d**2 Collect the terms in 289*k**2 + 329*k**2 - 607*k**2. 11*k**2 Collect the terms in -1216*f**2 + 3*f + 2*f + 5145*f**2. 3929*f**2 + 5*f Collect the terms in 926*h**3 - 2814*h**3 + 866*h**3 + 895*h**3. -127*h**3 Collect the terms in -3*s**3 - 51 + 28 + 23 - 59*s. -3*s**3 - 59*s Collect the terms in -4*m**2 + 26 - m**2 + 0*m**3 - 4 + 3*m**3. 3*m**3 - 5*m**2 + 22 Collect the terms in 32 + 27 + 23 - 82 + 21*q. 21*q Collect the terms in -74 - 77 - 59 + f**2 + 283 - 73. f**2 Collect the terms in -2184470372 + 2184470372 - 6*o**2. -6*o**2 Collect the terms in -762 + 243*g**2 - 1169*g**2 + 762. -926*g**2 Collect the terms in -3555*a**3 - 108*a + 3553*a**3 + 55*a + 53*a. -2*a**3 Collect the terms in -2893 - 2196 - 5*b**2 + 5089. -5*b**2 Collect the terms in -451*g**3 + 2*g**2 + 395*g**3 - 788*g**3 - 200*g**3 + g**2. -1044*g**3 + 3*g**2 Collect the terms in 5 - 154*z + 43*z + 68*z - 5. -43*z Collect the terms in 10900*x - 589 - 599 + 1788 - 10902*x - 600. -2*x Collect the terms in 0*q**3 + 2*q**3 - 76142*q**2 + 76142*q**2. 2*q**3 Collect the terms in -13843196*q + 13843196*q - 51*q**2. -51*q**2 Collect the terms in 217621*v - 108817*v - 108809*v. -5*v Collect the terms in 5*m**2 - 11*m**2 + 2*m**2 + 3*m**2 + 11*m**2. 10*m**2 Collect the terms in 4858*f**3 + 4866*f**3 - 9806*f**3. -82*f**3 Collect the terms in -121*u - 3*u**2 - u**2 + 240*u - 119*u. -4*u**2 Collect the terms in -8*r**2 + 91 - 91 + 41*r**2 + 26*r**2. 59*r**2 Collect the terms in -2 + 1 + 2 + 4315*c - 4408*c. -93*c + 1 Collect the terms in -32*z - 30*z + 72*z - 22*z - 2. -12*z - 2 Collect the terms in 1608*n**2 - 3194*n**2 - 2*n + 1588*n**2 + 5*n. 2*n**2 + 3*n Collect the terms in -11030*g**3 - 1468*g**2 + 1468*g**2 + 3397*g**3. -7633*g**3 Collect the terms in 83*v**3 - 185 + 185 - 173*v**3 + 86*v**3. -4*v**3 Collect the terms in 133679*g - 43046*g + 123155*g - 8233*g. 205555*g Collect the terms in 75*q**3 + 65*q**3 + 17*q**3. 157*q**3 Collect the terms in -495*p - 400*p - 7*p**3 - 1460*p - 11*p**3. -18*p**3 - 2355*p Collect the terms in -73*x**2 - 68*x**2 + 303*x**2 - 67*x**2 - 81*x**2. 14*x**2 Collect the terms in -1 - 177*g**3 - 256*g**3 + 132*g**3. -301*g**3 - 1 Collect the terms in 1 - 26 + 10*q + 47 + 44*q. 54*q + 22 Collect the terms in 87*d - 263*d + 2 + 94*d - 2 + 87*d. 5*d Collect the terms in -88*k + 7 + 2 - 7 - 1 + 0. -88*k + 1 Collect the terms in -70 + 40 + 30 - 6*c**2 + c. -6*c**2 + c Collect the terms in 14*v**2 - 83*v**2 - 126*v**2 - 10 + 9. -195*v**2 - 1 Collect the terms in -2010*c**3 + 1009*c**3 + 973*c**3. -28*c**3 Collect the terms in -5*c**2 - 4 + 12*c**2 - 9*c**2 + 11*c**2. 9*c**2 - 4 Collect the terms in -36*l**3 - 8*l**3 - 55*l**3. -99*l**3 Collect the terms in 0*i**3 + 25*i**3 + 16*i**3 + 15*i**3 - 49*i**3. 7*i**3 Collect the terms in 6996 - a**3 - 6996 - 12*a**2. -a**3 - 12*a**2 Collect the terms in -419*h + 243*h - 116*h - 435*h. -727*h Collect the terms in -214072*z + 214072*z + 24*z**2. 24*z**2 Collect the terms in -132493215*m + 132493215*m + 32*m**2. 32*m**2 Collect the terms in -265*r - 264*r + 519*r + 7. -10*r + 7 Collect the terms in 4*p**2 + 345*p**3 - 1695*p + 1695*p - 4*p**2. 345*p**3 Collect the terms in 493*k**2 + 495*k**2 + 530*k**2 - 1517*k**2. k**2 Collect the terms in -1 - 22 - 4*a**2 - 38. -4*a**2 - 61 Collect the terms in 10*z**2 + 1127100*z - 1127100*z. 10*z**2 Collect the terms in 339*a - 7 + 2 + 2. 339*a - 3 Collect the terms in -4*x - 12*x**2 + 4*x**2 + 2*x - 5*x**2 + 9*x**2. -4*x**2 - 2*x Collect the terms in -w - 7*w + 0*w**3 - w**3 + 0*w. -w**3 - 8*w Collect the terms in -812 + 0*u - 332 + 13*u + 1476 - 332. 13*u Collect the terms in -7*b**3 + 10*b**3 + 343*b**2 - 42*b**3. -39*b**3 + 343*b**2 Collect the terms in 5 - 47*u**3 + 28*u**3 + 11*u**3. -8*u**3 + 5 Collect the terms in 136*m - 274*m + 138*m + 352*m**3 + 0 - 2. 352*m**3 - 2 Collect the terms in -40 - n**2 - 25 + 22 - 28. -n**2 - 71 Collect the terms in -177790 - 2*t + 355387 - 177597. -2*t Collect the terms in -4205*r**3 + 23 - 86 + 4202*r**3. -3*r**3 - 63 Collect the terms in 5357*z**3 + 5350*z**3 + 5351*z**3 - 16071*z**3. -13*z**3 Collect the terms in 840886*q - 840885*q + 4 - 1. q + 3 Collect the terms in 10*m**2 - 29679 + 29679. 10*m**2 Collect the terms in -16 + 38 - 13 + 2 - 2*i. -2*i + 11 Collect the terms in -24*y**2 - 1130*y + 1130*y. -24*y**2 Collect the terms in 3046 - 896*x**2 + 3051 - 6097. -896*x**2 Collect the terms in 822*c - 1087 + 2178 - 1091. 822*c Collect the terms in -17*w**2 + 234*w + 224*w + 238*w - 696*w + 6*w**2. -11*w**2 Collect the terms in -3*y**2 + 48*y**3 + 2094*y + 3*y**2 - 2094*y - 19*y**3. 29*y**3 Collect the terms in 30*d - 13*d + d**2 + 130*d**3 - 17*d + 17*d**3. 147*d**3 + d**2 Collect the terms in -24*c - 18107*c**3 + 53*c - 29*c. -18107*c**3 Collect the terms in -67*m**3 + 21*m**2 + 45*m**2 + 15*m**2 - 81*m**2. -67*m**3 Collect the terms in 5575 - 2792 - m - 2783. -m Collect the terms in 9311*z**2 + z - z. 9311*z**2 Collect the terms in 2*r - 647 + 2062 - 644 - 771. 2*r Collect the terms in 1433*g**3 - 2893*g**3 + 1392*g**3. -68*g**3 Collect the terms in -11117*c**2 - 11115*c**2 - 11121*c**2 + 33354*c**2. c**2 Collect the terms in -1904*u - 5*u**3 + 1904*u. -5*u**3 Collect the terms in 11*x**2
{ "pile_set_name": "DM Mathematics" }
tonnes. 0.2368963 How many millimeters are there in one fifth of a centimeter? 2 How many centuries are there in 47535.26 years? 475.3526 How many nanoseconds are there in 0.8650698 minutes? 51904188000 What is 3/28 of a week in seconds? 64800 Convert 99.49485 tonnes to kilograms. 99494.85 How many seconds are there in 5/6 of a day? 72000 What is one fifth of a millennium in decades? 20 How many millilitres are there in 22.0046 litres? 22004.6 What is thirty-seven halves of a litre in millilitres? 18500 How many millimeters are there in ninety-one halves of a meter? 45500 What is 51.0922 milliseconds in microseconds? 51092.2 How many millilitres are there in 57344.13 litres? 57344130 How many millimeters are there in 29/5 of a centimeter? 58 How many grams are there in 7/2 of a kilogram? 3500 Convert 98751.58 millennia to centuries. 987515.8 How many years are there in 21/5 of a millennium? 4200 How many months are there in three sixteenths of a century? 225 How many millimeters are there in 3.292916km? 3292916 Convert 268953.867 minutes to weeks. 26.68193125 What is 3/25 of a kilometer in centimeters? 12000 What is nineteen quarters of a litre in millilitres? 4750 How many years are there in 19/4 of a millennium? 4750 What is 5879.919 nanograms in kilograms? 0.000000005879919 How many micrograms are there in 5/4 of a milligram? 1250 How many microseconds are there in 888.2803 nanoseconds? 0.8882803 How many millilitres are there in 21/2 of a litre? 10500 What is twenty-eight thirds of a year in months? 112 Convert 4270.632ug to milligrams. 4.270632 How many decades are there in 88702.2 months? 739.185 What is 7/2 of a day in hours? 84 Convert 71280.04l to millilitres. 71280040 How many micrograms are there in 1984.273g? 1984273000 Convert 851.952 years to months. 10223.424 What is 5/8 of a meter in millimeters? 625 How many months are there in 6780.12 decades? 813614.4 What is 3/25 of a kilometer in meters? 120 What is three eighths of a litre in millilitres? 375 How many microseconds are there in 978155.1ns? 978.1551 What is nineteen quarters of a millimeter in micrometers? 4750 What is 2.870562 decades in centuries? 0.2870562 How many nanograms are there in 3/5 of a microgram? 600 How many months are there in 411856.3 millennia? 4942275600 How many kilograms are there in 1111.627 milligrams? 0.001111627 What is 6.305783ml in litres? 0.006305783 How many hours are there in fifteen quarters of a week? 630 How many meters are there in 21/8 of a kilometer? 2625 Convert 14.37314ug to kilograms. 0.00000001437314 How many milliseconds are there in 1/15 of a minute? 4000 What is 3/10 of a micrometer in nanometers? 300 Convert 80.87948 kilograms to micrograms. 80879480000 How many minutes are there in five sixths of a hour? 50 What is five quarters of a hour in seconds? 4500 How many seconds are there in three eighths of a hour? 1350 How many millilitres are there in one quarter of a litre? 250 How many nanoseconds are there in 197.842 hours? 712231200000000 What is 21/8 of a hour in seconds? 9450 What is 42912.84 millilitres in litres? 42.91284 How many millilitres are there in 0.8965534 litres? 896.5534 What is 31601.33 millilitres in litres? 31.60133 Convert 150.3077 years to millennia. 0.1503077 What is 253.5961 micrometers in meters? 0.0002535961 What is 0.496266 decades in years? 4.96266 How many millilitres are there in 71/4 of a litre? 17750 What is 5.989466 kilograms in grams? 5989.466 What is 29/5 of a meter in millimeters? 5800 How many centuries are there in 6/5 of a millennium? 12 How many weeks are there in 313.220817s? 0.0005178915625 How many nanograms are there in seven quarters of a microgram? 1750 What is seventy-five halves of a second in milliseconds? 37500 How many litres are there in 74.19166 millilitres? 0.07419166 How many milligrams are there in five eighths of a gram? 625 Convert 70527.1ug to nanograms. 70527100 What is 2424.921l in millilitres? 2424921 How many milligrams are there in 6.566116kg? 6566116 How many hours are there in four thirds of a week? 224 Convert 955.2703 millimeters to centimeters. 95.52703 Convert 2.73176m to kilometers. 0.00273176 What is 6.076908l in millilitres? 6076.908 What is one quarter of a year in months? 3 What is 32064.67 millilitres in litres? 32.06467 Convert 73.08591 meters to centimeters. 7308.591 What is 9.334278 millilitres in litres? 0.009334278 How many grams are there in 37/2 of a kilogram? 18500 Convert 246.4672 litres to millilitres. 246467.2 What is 3/40 of a tonne in grams? 75000 Convert 0.2910142 years to decades. 0.02910142 How many milliseconds are there in 19/4 of a second? 4750 How many kilograms are there in thirteen eighths of a tonne? 1625 Convert 88846.57 litres to millilitres. 88846570 Convert 0.3518403l to millilitres. 351.8403 What is 22852.11 years in months? 274225.32 How many nanoseconds are there in 745174.6 microseconds? 745174600 What is 3/50 of a microsecond in nanoseconds? 60 What is 130.2551 litres in millilitres? 130255.1 What is 8528.13 millennia in years? 8528130 How many millilitres are there in 0.4583219l? 458.3219 What is 12/25 of a tonne in kilograms? 480 How many seconds are there in eighteen fifths of a minute? 216 What is 85/4 of a microgram in nanograms? 21250 What is 25/4 of a millennium in years? 6250 What is seventy-five halves of a litre in millilitres? 37500 How many micrometers are there in 12/25 of a millimeter? 480 How many micrograms are there in sixty-nine halves of a milligram? 34500 What is 4.344974ml in litres? 0.004344974 What is 1368.243g in kilograms? 1.368243 What is 9014.694km in nanometers? 9014694000000000 What is three tenths of a centimeter in micrometers? 3000 Convert 504.354kg to tonnes. 0.504354 Convert 82121.88l to millilitres. 82121880 What is fourty-three quarters of a milligram in micrograms? 10750 How many microseconds are there in 3/40 of a millisecond? 75 What is sixty-seven quarters of a kilometer in meters? 16750 What is fifty-nine quarters of a microsecond in nanoseconds? 14750 How many grams are there in 516.6601 micrograms? 0.0005166601 How many grams are there in one tenth of a kilogram? 100 How many nanometers are there in 21/8 of a micrometer? 2625 How many hours are there in 7.288605 microseconds? 0.0000000020246125 How many litres are there in 0.3928399 millilitres? 0.0003928399 What is fourty-three quarters of a gram in milligrams? 10750 What is 1/10 of a century in years? 10 What is fourty-four fifths of a microgram in nanograms? 8800 How many millilitres are there in 0.964363 litres? 964.363 What is 2379.213l in millilitres? 2379213 How many nanoseconds are there in 3/5 of a microsecond? 600 How many grams are there in 7/2 of a kilogram? 3500 What is 60247.4ug in grams? 0.0602474 How many nanometers are there in 3.81647 kilometers? 3816470000000 What is seven quarters of a kilometer in meters? 1750 What is 27/2 of a microgram in nanograms? 13500 How many milligrams are there in 3498.894 kilograms? 3498894000 How many litres are there in 8600.946 millilitres? 8.600946 How many centuries are there in 65668.67 millennia? 656686.7 Convert 152340.9 tonnes to nanograms. 152340900000000000000 What is 2.362189 nanograms in grams? 0.000000002362189 How many minutes are there in twenty-five sevenths of a week? 36000 What is seven halves of a day in hours? 84 What is 97.55311 days in seconds? 8428588.704 How many months are there in 242.8129 years? 2913.7548 What is 6/25 of a litre in millilitres? 240 What is 700.3556 centuries in decades? 7003.556 How many nanograms are there in 23/8 of a microgram? 2875 How many millimeters are there in seven halves of a centimeter? 35 Convert 1.812399 litres to millilitres. 1812.399 How many grams are there in 0.6681086 nanograms? 0.0000000006681086 Convert 747.0557 hours to milliseconds. 2689400520 Convert 319.6233 litres to millilitres. 319623.3 Convert 24.59161t to milligrams. 24591610000 What is five eighths of a micrometer in nanometers? 625 Convert 82.12818 centimeters to meters. 0.8212818 What is one quarter of a millennium in months? 3000 How many meters are there in 75.80034 micrometers? 0.00007580034 What is 25/2 of a decade in years? 125 What is six fifths of
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from jmcszwwwcczjccww? 1/182 Two letters picked without replacement from {a: 7, j: 2, r: 1, z: 9}. What is prob of picking 1 z and 1 j? 2/19 Calculate prob of picking 1 r, 2 e, and 1 q when four letters picked without replacement from {h: 2, l: 3, q: 5, r: 3, e: 2}. 1/91 What is prob of picking 1 s, 2 r, and 1 z when four letters picked without replacement from {s: 1, z: 2, r: 7}? 1/5 Two letters picked without replacement from {m: 12, o: 1, c: 5}. What is prob of picking 1 c and 1 o? 5/153 Two letters picked without replacement from xyyyyrxyqyr. What is prob of picking 2 y? 3/11 Three letters picked without replacement from {p: 1, y: 2, r: 2, h: 8, u: 1}. Give prob of picking 3 h. 2/13 Three letters picked without replacement from vorv. What is prob of picking 2 v and 1 r? 1/4 Calculate prob of picking 1 y and 3 u when four letters picked without replacement from yuyuyuuuuuyy. 35/99 Calculate prob of picking 2 x when two letters picked without replacement from vqvvqvivxvvivvxvvv. 1/153 Two letters picked without replacement from {b: 3, h: 7}. What is prob of picking 2 h? 7/15 Calculate prob of picking 2 b when two letters picked without replacement from {k: 1, b: 2, j: 2, o: 4}. 1/36 Two letters picked without replacement from {s: 3, c: 4}. Give prob of picking 2 c. 2/7 Three letters picked without replacement from rrnqiqv. Give prob of picking 1 v, 1 i, and 1 q. 2/35 What is prob of picking 2 a and 2 n when four letters picked without replacement from {a: 3, n: 2}? 3/5 What is prob of picking 2 u and 1 b when three letters picked without replacement from {u: 4, y: 4, b: 7}? 6/65 Three letters picked without replacement from nnwnnnwnwnwwwnwwwnnw. What is prob of picking 1 w and 2 n? 15/38 Three letters picked without replacement from kveekddedd. Give prob of picking 1 k and 2 d. 1/10 Two letters picked without replacement from {r: 2, x: 6, z: 1, l: 2}. What is prob of picking 2 l? 1/55 Three letters picked without replacement from {y: 4, e: 1, r: 2, h: 1, f: 1}. Give prob of picking 2 y and 1 r. 1/7 Calculate prob of picking 2 r, 1 c, and 1 e when four letters picked without replacement from {r: 6, e: 1, c: 4}. 2/11 Three letters picked without replacement from {e: 15, l: 5}. Give prob of picking 3 l. 1/114 What is prob of picking 2 f and 1 z when three letters picked without replacement from {f: 3, y: 4, z: 8, i: 2}? 3/85 Two letters picked without replacement from {v: 15, k: 3}. Give prob of picking 2 k. 1/51 Four letters picked without replacement from vvvvvfvvvvfvvvf. What is prob of picking 4 v? 33/91 Two letters picked without replacement from ccucuczuzzu. What is prob of picking 1 c and 1 u? 16/55 Two letters picked without replacement from {o: 5, s: 1, v: 7, d: 3}. What is prob of picking 2 v? 7/40 Two letters picked without replacement from uuubububsbuhuuuys. What is prob of picking 1 b and 1 y? 1/34 Calculate prob of picking 1 d and 3 t when four letters picked without replacement from {d: 11, o: 1, t: 7}. 385/3876 Two letters picked without replacement from hhhhzhhmzzhhhhzhzh. Give prob of picking 2 h. 22/51 Four letters picked without replacement from {c: 2, w: 1, d: 11}. What is prob of picking 4 d? 30/91 Calculate prob of picking 3 g and 1 r when four letters picked without replacement from glrrgrgeglrrrglrgr. 8/153 What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 2, o: 8, n: 4}? 16/91 Calculate prob of picking 1 j, 2 b, and 1 s when four letters picked without replacement from {b: 2, s: 3, j: 10}. 2/91 What is prob of picking 4 g when four letters picked without replacement from {g: 2, i: 17}? 0 Two letters picked without replacement from {r: 1, m: 2, f: 1, s: 1}. What is prob of picking 1 s and 1 f? 1/10 Three letters picked without replacement from iifiifimfiim. Give prob of picking 1 f and 2 m. 3/220 What is prob of picking 2 w when two letters picked without replacement from wwwwwwwwww? 1 Four letters picked without replacement from kgkikkggqg. Give prob of picking 1 q and 3 g. 2/105 What is prob of picking 1 x and 3 t when four letters picked without replacement from {o: 3, t: 4, j: 3, f: 6, x: 4}? 16/4845 What is prob of picking 1 h and 1 f when two letters picked without replacement from fhfffvvvffhhhf? 4/13 What is prob of picking 3 z when three letters picked without replacement from {z: 5, f: 12, k: 1}? 5/408 Three letters picked without replacement from {a: 2, q: 1, v: 1}. Give prob of picking 1 a, 1 q, and 1 v. 1/2 What is prob of picking 2 k and 2 w when four letters picked without replacement from kxxkwwwxxrxwkwkk? 5/91 Calculate prob of picking 2 k and 2 f when four letters picked without replacement from kfecdak. 0 Two letters picked without replacement from quqquuqqqoqqquuo. Give prob of picking 1 u and 1 q. 3/8 What is prob of picking 4 g when four letters picked without replacement from {b: 7, g: 7, o: 2, x: 1}? 1/68 What is prob of picking 2 u, 1 y, and 1 v when four letters picked without replacement from yuvob? 0 Four letters picked without replacement from ehkkelkehhehleekel. Give prob of picking 2 k and 2 l. 1/170 What is prob of picking 1 p, 1 b, and 1 s when three letters picked without replacement from wpbls? 1/10 Two letters picked without replacement from fffffff. Give prob of picking 2 f. 1 Two letters picked without replacement from yyjixoix. What is prob of picking 1 i and 1 o? 1/14 What is prob of picking 3 y when three letters picked without replacement from yyy? 1 Four letters picked without replacement from hihcmmm. What is prob of picking 1 i, 1 c, 1 m, and 1 h? 6/35 Calculate prob of picking 2 c when two letters picked without replacement from tgracacaaccgcrgrtgg. 10/171 Four letters picked without replacement from {t: 6, y: 3, v: 1, a: 5, i: 4, r: 1}. What is prob of picking 1 r, 2 y, and 1 v? 1/1615 Calculate prob of picking 1 y, 2 r, and 1 x when four letters picked without replacement from {y: 1, r: 5, x: 4}. 4/21 Two letters picked without replacement from xxxwxwwwxxww. What is prob of picking 1 w and 1 x? 6/11 Four letters picked without replacement from {h: 7, a: 1, s: 3, f: 1, k: 1}. What is prob of picking 3 s and 1 f? 1/715 Four letters picked without replacement from myzzzwr. Give prob of picking 2 z and 2 w. 0 Three letters picked without replacement from ttttytttttttt. What is prob of picking 1 y and 2 t? 3/13 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, g: 5, l: 3, y: 1, o: 7}. 2/51 What is prob of picking 1 t and 1 a when two letters picked without replacement from apatoappopoapapaa? 7/136 What is prob of picking 3 t when three letters picked without replacement from {i: 3, t: 7, n: 2}? 7/44 What is prob of picking 2 r when two letters picked without replacement from {i: 10, k: 2, b: 2, r: 4, w: 1}? 2/57 What is prob of picking 1 u and 3 r when four letters picked without replacement from rqrukkwrwwcwuuu? 4/1365 Calculate prob of picking 2 b and 1 r when three letters picked without replacement from {n: 1, e: 2, r: 1, f: 1, b: 2, i: 1}. 1/56 Three letters picked without replacement from gzzzzzgzzz. What is prob of picking 2 z and 1 g? 7/15 Four letters picked without replacement from {i: 1, o: 2, l: 11, r: 5}. Give prob of picking 1 o and 3 l. 55/646 Calculate prob of picking 3 g and 1 i when four letters picked without replacement from {i: 3, g: 13}. 33/70 Calculate prob of picking 4 m when four letters picked without replacement from mmmdmmdmmmmmmmdmmmdm. 364/969 Three letters picked without replacement from xllggggzngxlsgsxg. Give prob of picking 2 l and 1 g. 21/680 Calculate prob of picking 1 g and 2 p when three letters picked without replacement from {g: 5, p: 14, a: 1}. 91/228 Three letters picked without replacement from {a: 3, s: 2, h: 4, y: 2}. Give prob of picking 2 s and 1 a. 1/55 What is prob of picking 4 z when four letters picked without replacement from {k: 6, z: 6}? 1/33 What is prob of picking 1 m, 1 b, and 1 r when three letters picked without replacement from {r: 4, k: 3, e: 1, m: 2, b: 1}? 8/165 Two letters picked without replacement from {x: 2, k: 3}. What is prob of picking 2 x? 1/10 Three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
55, -242, -331, -422? -h**2 - 82*h + 13 What is the z'th term of -833, -1667, -2501, -3335, -4169, -5003? -834*z + 1 What is the l'th term of -10674, -10675, -10676? -l - 10673 What is the j'th term of 11, 0, -15, -34, -57? -2*j**2 - 5*j + 18 What is the c'th term of -16, -26, -42, -64, -92, -126? -3*c**2 - c - 12 What is the w'th term of 2, 34, 88, 164? 11*w**2 - w - 8 What is the f'th term of 2, 9, 24, 47, 78? 4*f**2 - 5*f + 3 What is the y'th term of 1013, 1029, 1061, 1115, 1197, 1313, 1469? y**3 + 2*y**2 + 3*y + 1007 What is the o'th term of 377, 383, 387, 389, 389? -o**2 + 9*o + 369 What is the w'th term of 8238, 8237, 8236, 8235? -w + 8239 What is the k'th term of -243, -485, -727? -242*k - 1 What is the b'th term of -233, -466, -699, -932, -1165? -233*b What is the z'th term of 90, 100, 122, 162, 226, 320, 450, 622? z**3 + 3*z + 86 What is the n'th term of 918, 908, 898, 888, 878? -10*n + 928 What is the k'th term of -10, -12, -10, 2, 30? k**3 - 4*k**2 + 3*k - 10 What is the z'th term of 34, 51, 68, 85, 102, 119? 17*z + 17 What is the a'th term of -383, -372, -359, -344, -327, -308? a**2 + 8*a - 392 What is the f'th term of -943, -944, -945, -946? -f - 942 What is the d'th term of -330, -265, -200, -135? 65*d - 395 What is the n'th term of -3990, -3994, -3998? -4*n - 3986 What is the i'th term of 243, 226, 209, 192? -17*i + 260 What is the o'th term of 97, 194, 317, 478, 689, 962, 1309, 1742? 2*o**3 + o**2 + 80*o + 14 What is the w'th term of -99, -198, -297, -396? -99*w What is the g'th term of 103, 202, 301, 400, 499? 99*g + 4 What is the b'th term of 78, 111, 196, 357, 618, 1003, 1536, 2241? 4*b**3 + 2*b**2 - b + 73 What is the d'th term of -175, -360, -545? -185*d + 10 What is the d'th term of 205, 220, 237, 256, 277, 300? d**2 + 12*d + 192 What is the w'th term of 180, 173, 162, 147? -2*w**2 - w + 183 What is the q'th term of 35175, 35171, 35165, 35157? -q**2 - q + 35177 What is the t'th term of -1160, -2316, -3472, -4628? -1156*t - 4 What is the r'th term of -254, -506, -758, -1010, -1262, -1514? -252*r - 2 What is the d'th term of -159, -163, -167, -171? -4*d - 155 What is the n'th term of 34, 47, 76, 127, 206, 319, 472? n**3 + 2*n**2 + 31 What is the x'th term of 1165, 2334, 3505, 4678? x**2 + 1166*x - 2 What is the i'th term of 16, -11, -68, -167, -320, -539? -2*i**3 - 3*i**2 - 4*i + 25 What is the w'th term of 30, 27, 12, -21, -78, -165, -288? -w**3 + 4*w + 27 What is the h'th term of -3, 7, 29, 69, 133, 227, 357, 529? h**3 + 3*h - 7 What is the j'th term of -582, -1177, -1776, -2379? -2*j**2 - 589*j + 9 What is the d'th term of -53, -50, -47, -44? 3*d - 56 What is the c'th term of -634, -628, -620, -610, -598, -584, -568? c**2 + 3*c - 638 What is the o'th term of -41, -151, -335, -593, -925? -37*o**2 + o - 5 What is the g'th term of -2917, -2914, -2901, -2872, -2821, -2742? g**3 - g**2 - g - 2916 What is the a'th term of 5, 2, -3, -10? -a**2 + 6 What is the k'th term of 2734, 2738, 2744, 2752, 2762? k**2 + k + 2732 What is the l'th term of 832, 3354, 7560, 13450, 21024, 30282, 41224? 842*l**2 - 4*l - 6 What is the w'th term of 250, 414, 576, 736, 894? -w**2 + 167*w + 84 What is the j'th term of 177, 132, 87, 42, -3, -48? -45*j + 222 What is the x'th term of -118, -232, -344, -454? x**2 - 117*x - 2 What is the i'th term of -31, -95, -195, -331, -503, -711? -18*i**2 - 10*i - 3 What is the v'th term of -181, -361, -545, -733, -925, -1121? -2*v**2 - 174*v - 5 What is the n'th term of -185, -191, -209, -245, -305? -n**3 + n - 185 What is the j'th term of -487, -485, -483, -481, -479? 2*j - 489 What is the n'th term of 351, 356, 361? 5*n + 346 What is the v'th term of -54, -57, -62, -69, -78, -89? -v**2 - 53 What is the p'th term of 23, 51, 95, 149, 207? -p**3 + 14*p**2 - 7*p + 17 What is the v'th term of 667, 668, 669, 670, 671? v + 666 What is the q'th term of 134, 267, 400, 533, 666? 133*q + 1 What is the n'th term of -36, -73, -122, -189, -280? -n**3 - 30*n - 5 What is the v'th term of -25, -38, -39, -22, 19, 90, 197, 346? v**3 - 20*v - 6 What is the n'th term of 5, -18, -87, -226, -459, -810, -1303? -4*n**3 + n**2 + 2*n + 6 What is the h'th term of -511, -2068, -4663, -8296, -12967, -18676? -519*h**2 + 8 What is the s'th term of -60, -64, -68, -72, -76, -80? -4*s - 56 What is the g'th term of 3, 17, 33, 45, 47, 33, -3? -g**3 + 7*g**2 - 3 What is the t'th term of -2929, -2928, -2927, -2926? t - 2930 What is the r'th term of 718, 709, 688, 649, 586, 493, 364, 193? -r**3 - 2*r + 721 What is the v'th term of 7, 14, 23, 34, 47? v**2 + 4*v + 2 What is the l'th term of -422, -1709, -3854, -6857, -10718? -429*l**2 + 7 What is the u'th term of -4599, -4601, -4605, -4611, -4619, -4629, -4641? -u**2 + u - 4599 What is the d'th term of -36, -70, -126, -216, -352, -546, -810, -1156? -2*d**3 + d**2 - 23*d - 12 What is the y'th term of 44, 107, 180, 263, 356, 459? 5*y**2 + 48*y - 9 What is the o'th term of -21, -85, -193, -345, -541, -781, -1065? -22*o**2 + 2*o - 1 What is the f'th term of -221, -112, 69, 322, 647, 1044? 36*f**2 + f - 258 What is the y'th term of -22902, -22907, -22924, -22959, -23018? -y**3 + 2*y - 22903 What is the j'th term of 30, 127, 288, 513? 32*j**2 + j - 3 What is the u'th term of -208, -201, -194, -187? 7*u - 215 What is the n'th term of 25, 105, 239, 427, 669? 27*n**2 - n - 1 What is the z'th term of 387, 386, 383, 378, 371, 362, 351? -z**2 + 2*z + 386 What is the v'th term of -18, -67, -146, -255, -394, -563, -762? -15*v**2 - 4*v + 1 What is the b'th term of -66, -104, -142, -180? -38*b - 28 What is the a'th term of -18075, -36152, -54229, -72306? -18077*a + 2 What is the u'th term of 1939, 1936, 1937, 1948, 1975, 2024, 2101, 2212? u**3 - 4*u**2 + 2*u + 1940 What is the j'th term of -10918, -10917, -10914, -10909? j**2 - 2*j - 10917 What is the i'th term of 4162, 4165, 4170, 4177, 4186? i**2 + 4161 What is the x'th term of -2442, -4885, -7328, -9771? -2443*x + 1 What is the z'th term of 85, 69, 53? -16*z + 101 What is the f'th term of 17, 6, -17, -58, -123? -f**3 - 4*f + 22 What is the j'th term of 68, 67, 66? -j + 69 What is the p'th term of -239, -479, -719? -240*p + 1 What is the g'th term of 14, 31, 56, 89, 130, 179, 236? 4*g**2 + 5*g + 5 What is the u'th term of -646, -2569, -5780, -10285, -16090? -u**3 - 638*u**2 - 2*u - 5 What is the r'th term of 439, 446, 453, 460, 467? 7*r + 432 What is the p'th term of -47, -76, -103, -128, -151? p**2 - 32*p - 16 What is the o'th term of 45, 67, 89, 111? 22*o + 23 What is the b'th term of -51, -93, -127, -153, -171, -181, -183? 4*b**2 - 54*b - 1 What is the i'th term of -164, -299, -410, -485, -512, -479, -374, -185? 2*i**3 - 149*i - 17 What is the r'th term of 0, 6, 34, 96, 204? 2*r**3 - r**2 - 5*r + 4 What is the z'th term of 436, 437, 438, 439, 440? z + 435 What is the d'th term of 70, 123, 176, 229? 53*d + 17 What is the o'th term of 23083, 46166, 69249? 23083*o What is the t'th term of 358, 351, 332, 295, 234? -t**3 + 359 What is the j'th term of 1097, 1099, 1101, 1103, 1105? 2*j + 1095 What is the n'th term of -1098, -1100, -1092, -1068, -1022? n**3 - n**2 - 6*n - 1092 What is the n'th term of 56, 58, 54, 38, 4, -54, -142? -n**3 + 3*n**2 + 54 What is the j'th term of -6, 14, 72, 186, 374? 3*j**3 + j**2 - 4*j - 6 What is the h'th term of -5526, -5524, -5522, -5520? 2*h - 5528 What is the v'th term of -38, -134, -298, -536, -854, -1258? -v**3 - 28*v**2 - 5*v - 4 What is the t'th term of -8, -7, 4, 31, 80, 157? t**3 - t**2 - 3*t - 5 What is the r'th term of 7, 2, -9, -26, -49? -3*r**2 + 4*r + 6 What is the g'th term of 5, 40, 73, 104, 133, 160? -g**2 + 38*g - 32 What is the h'th term of 3153, 3150, 3147, 3144? -3*h + 3156 What is the n'th term of 123, 246, 369, 492, 615, 738? 123*n What is the p'th term of -151, -299, -445, -589, -731, -871? p**2 - 151*p - 1 What is the q'th term of -17, -43, -97, -191, -337, -547, -833? -2*q**3 - 2*q**2 - 6*q - 7 What is the m'th term of -464, -902, -1340, -1778? -438*m - 26 What is the g'th term of -2506, -5011, -7516, -10021? -2505*g - 1 What is the r'th term of -231, -465, -699, -933, -1167, -1401? -234*r + 3 What is the s'th term of 13, 2, -9, -20, -31, -42? -11*s + 24 What is the i'th term of -312, -311, -310, -309, -308? i
{ "pile_set_name": "DM Mathematics" }
ded by 37? 5/37 Calculate 119 divided by 7. 17 -1 divided by 66 -1/66 1376 divided by 344 4 What is 492 divided by -246? -2 Calculate -1425 divided by -3. 475 What is 2 divided by 1546? 1/773 -4056 divided by 12 -338 What is 2347 divided by -2347? -1 What is 12468 divided by -1? -12468 Divide 610 by 10. 61 What is 15 divided by -1? -15 What is -648 divided by -162? 4 -12936 divided by 6 -2156 512 divided by 2 256 2010 divided by -5 -402 What is 8 divided by -89? -8/89 3 divided by -3153 -1/1051 Divide 3 by 2472. 1/824 What is 105 divided by -2? -105/2 Calculate 347 divided by -4. -347/4 -33784 divided by -1 33784 4 divided by -20 -1/5 What is -2804 divided by 4? -701 Divide -1092 by 26. -42 169 divided by 1 169 Divide 321 by -5. -321/5 3 divided by 18 1/6 What is 44 divided by 22? 2 What is 8548 divided by 2? 4274 What is -107 divided by -1? 107 561 divided by 3 187 Calculate -276 divided by -69. 4 5 divided by -30 -1/6 Calculate 4941 divided by 9. 549 Divide -2 by 1668. -1/834 What is -87 divided by -6? 29/2 Divide 1045 by -95. -11 Calculate 108 divided by -2. -54 What is -1 divided by -617? 1/617 660 divided by -220 -3 Calculate 4 divided by -212. -1/53 -3 divided by 98 -3/98 Calculate -636 divided by 2. -318 What is 1320 divided by 264? 5 60 divided by -20 -3 1476 divided by 738 2 -60 divided by -60 1 What is -357 divided by 17? -21 2090 divided by 4 1045/2 Divide -249 by 83. -3 Calculate -336 divided by -6. 56 6744 divided by 2 3372 Calculate -4 divided by 227. -4/227 -3 divided by -557 3/557 Divide 60 by 7. 60/7 What is -81 divided by -27? 3 Divide -51 by 3. -17 0 divided by 253 0 -45 divided by -7 45/7 Divide 0 by 27. 0 -2814 divided by 6 -469 -14096 divided by -7048 2 Calculate 8268 divided by 4. 2067 Divide 20 by 22. 10/11 Divide 16 by -44. -4/11 Calculate 3 divided by 361. 3/361 -30 divided by -1 30 -5 divided by 50 -1/10 -5836 divided by 5836 -1 Divide -10 by -638. 5/319 Calculate 135 divided by -135. -1 Divide -3972 by -3. 1324 Divide -88 by -7. 88/7 What is -1407 divided by 3? -469 270 divided by -5 -54 What is 297 divided by -11? -27 Calculate -470 divided by -10. 47 What is 30 divided by -49? -30/49 Calculate -3 divided by -26. 3/26 Calculate -2658 divided by 1. -2658 What is 548 divided by -274? -2 Calculate -5 divided by -211. 5/211 1209 divided by -93 -13 Calculate -316 divided by -4. 79 What is 714 divided by -7? -102 Calculate -4302 divided by -18. 239 Calculate 4914 divided by -26. -189 Calculate 6050 divided by 55. 110 Calculate -5 divided by -56. 5/56 What is 1246 divided by 2? 623 36678 divided by -6 -6113 Calculate -15 divided by 6. -5/2 What is 41 divided by -35? -41/35 Calculate 250 divided by -2. -125 Divide -5 by -278. 5/278 Divide 74 by -2. -37 -3586 divided by -1793 2 What is -34881 divided by -11? 3171 Calculate -5 divided by 59. -5/59 Calculate -1463 divided by -133. 11 What is -280 divided by 56? -5 Calculate 47 divided by 6. 47/6 -430 divided by 4 -215/2 Calculate 6004 divided by 38. 158 What is 210 divided by -30? -7 1119 divided by 373 3 Calculate -51050 divided by -5. 10210 What is 564 divided by 1? 564 Divide 81 by -3. -27 14 divided by 5 14/5 Calculate 1188 divided by 44. 27 Calculate 0 divided by -68. 0 Divide 54 by 18. 3 Calculate -12862 divided by 4. -6431/2 Calculate 4 divided by 63. 4/63 What is 206 divided by -1? -206 What is -3 divided by 1840? -3/1840 Calculate 112 divided by -5. -112/5 -4477 divided by -11 407 -1390 divided by -5 278 Calculate 67 divided by 67. 1 What is -2036 divided by -1? 2036 -164 divided by -3 164/3 Calculate 45 divided by -9. -5 Calculate -2079 divided by -3. 693 -1 divided by 43 -1/43 What is 240 divided by -4? -60 24 divided by -6 -4 625 divided by -125 -5 Divide 0 by 18. 0 Calculate 522 divided by -9. -58 Divide 16564 by -2. -8282 -4 divided by 2 -2 856 divided by 6 428/3 29 divided by 4 29/4 -6 divided by 188 -3/94 2084 divided by 2 1042 Divide 19 by 2. 19/2 14 divided by -11 -14/11 305 divided by 6 305/6 -19615 divided by 5 -3923 What is -85 divided by -52? 85/52 Divide 6 by -67. -6/67 Divide -385 by 55. -7 Divide -15405 by -1027. 15 0 divided by -14 0 Calculate -6460 divided by 68. -95 What is -3 divided by 4889? -3/4889 Calculate -5 divided by 5. -1 Calculate 12 divided by 84. 1/7 What is -67 divided by -26? 67/26 Calculate 10 divided by 50. 1/5 What is 145 divided by 1? 145 Calculate 134 divided by -2. -67 Calculate 32 divided by -16. -2 10476 divided by 27 388 Divide 16236 by 396. 41 Divide 20895 by -3. -6965 Divide 672 by -84. -8 -80 divided by 3 -80/3 Divide 90 by 1. 90 1618 divided by 2 809 Calculate -55 divided by 16. -55/16 18 divided by 566 9/283 -4 divided by 307 -4/307 Calculate -32 divided by 8. -4 231 divided by -77 -3 What is -2 divided by -5897? 2/5897 What is 3544 divided by -443? -8 Calculate -126 divided by 10. -63/5 215 divided by 12 215/12 187 divided by 17 11 Calculate 0 divided by 4703. 0 Divide 12423 by -1. -12423 What is -2151 divided by 3? -717 Calculate 26 divided by 3. 26/3 Calculate -4 divided by 37. -4/37 What is 440 divided by 2? 220 Calculate 20880 divided by 6. 3480 What is -3300 divided by -15? 220 Divide 1323 by 7. 189 Calculate 775 divided by 155. 5 Calculate 24 divided by -11. -24/11 What is 4 divided by 430? 2/215 Calculate 96 divided by -7. -96/7 Calculate -167 divided by -4. 167/4 -2334 divided by -2 1167 19 divided by 19 1 What is -1980 divided by -396? 5 Divide 5 by -145. -1/29 Calculate 15 divided by 20. 3/4 Calculate -3 divided by -55. 3/55 What is -4 divided by -87? 4/87 What is -5 divided by -313? 5/313 Calculate 396 divided by 6. 66 2881 divided by -6 -2881/6 What is 738 divided by -6? -123 Divide 260 by -4. -65 -51 divided by 4 -51/4 Calculate 7412 divided by 6. 3706/3 What is 40 divided by 2? 20 -11394 divided by -3798 3 Calculate -61 divided by -37. 61/37 Calculate -158 divided by -79. 2 Calculate -2 divided by 140. -1/70 What is 2697 divided by 31? 87 Divide -2 by -8137. 2/8137 Calculate 3 divided by -73. -3/73 9990 divided by -4995 -2 What is 25 divided by -64? -25/64 Calculate 874 divided by -437. -2 -119 divided by 5 -119/5 -48 divided by 48 -1 690 divided by 230 3 What is 77 divided by 1? 77 Divide 273 by -1. -273 Calculate -1 divided by 1. -1 Calculate -1466 divided by 4. -733/2 What is -45 divided by 15? -3 7308 divided by -261 -28 26 divided by -26 -1 31 divided by -17 -31/17 Calculate 13 divided by 90. 13/90 -152 divided by 38 -4 Divide -15 by 38. -15/38 Divide 626 by -313. -2 -1753 divided by -8 1753/8 What is 120 divided by -24? -5 What is 5270 divided by -3? -5270/3 What is 4596 divided by 1532? 3 What is 88 divided by -22? -4 What is 5 divided by -541? -5/541 Divide -4 by -96. 1/24 What is -111 divided by -3? 37 Divide -1 by -107. 1/107 Calculate 5883 divided by -3. -1961 Divide -11280 by -5. 2256 What is 376 divided by -2? -188 Divide 1246 by -178. -7 What is 24 divided by -49? -24/49 Calculate 2 divided by -7169. -2/7169 Calculate -48 divided by 8. -6 -194 divided by -2 97 What is 17 divided by 64? 17/64 Divide 11016 by -9. -1224 Divide -2285 by -4. 2285/4 257 divided by -1 -257 2170 divided by 10 217 Calculate 600 divided by 6. 100 Calculate 412 divided by 3. 412/3 Divide 217 by -3. -217/3 Calculate -1068 divided by -4. 267 Calculate -453 divided by -4. 453/4 What is 1283 divided by 6? 1283/6 Calculate -176 divided by 22. -8 Divide -441 by 49. -9 What is -666 divided by 222? -3 What is -387 divided by 44? -387/44 Divide 308 by 22. 14 Divide -1554 by 259. -6 8628 divided by -2876 -3 Calculate 0 divided by -50. 0 What is -79 divided by 92? -79/92 What is 492 divided by -82? -6 -107 divided by 1 -107 Divide 2064 by -24. -86 What is -2 divided by 36? -1/18 What is -1 divided by 114? -1/114 Divide 97 by -97. -1 What is 88 divided by -4? -22 Divide -1296 by -648. 2 Calculate -10228 divided by 4. -2557 Divide -5550 by 5. -1110 2 divided by -6378 -1/3189 Divide 3 by 18. 1/6 Divide -68 by 346. -34/173 Calculate 1575 divided by -315. -5 Divide -3 by -37. 3/37 What is 389 divided by 3? 389/3 Divide -39 by 18. -13/6 1054 divided by 3 1054/3 What is -2873 divided by -1? 2873 Calculate 200 divided by 40. 5 Divide 2 by -5822. -1/2911 Divide 17 by -4. -17/4 Calculate -57 divided by -44. 57/44 Calculate 6409 divided
{ "pile_set_name": "DM Mathematics" }
-5, -4, 27 Put -9, -1, -42, -8 in descending order. -1, -8, -9, -42 Sort 2, -1/3, 0.4, 7/12, 4, -6. -6, -1/3, 0.4, 7/12, 2, 4 Sort 313, 0, -3099. -3099, 0, 313 Sort 159, -6, -79. -79, -6, 159 Sort -4, 45, -149 in decreasing order. 45, -4, -149 Put -0.3, -0.1, 36/899, 0.5 in increasing order. -0.3, -0.1, 36/899, 0.5 Put -1, 73, -102, 3 in decreasing order. 73, 3, -1, -102 Sort -0.05, 1/22506, -1. -1, -0.05, 1/22506 Sort -1, -5, -4, -23, 451, 2 in descending order. 451, 2, -1, -4, -5, -23 Sort -3, 4, 22, 0, -15, 2 in increasing order. -15, -3, 0, 2, 4, 22 Sort 0.15, 0, -39, -0.5. -39, -0.5, 0, 0.15 Sort 2/15, 0, -620/49 in decreasing order. 2/15, 0, -620/49 Sort 16, 4/3, 3, -6, -2/13 in decreasing order. 16, 3, 4/3, -2/13, -6 Put 1, 1479, 5, 3 in ascending order. 1, 3, 5, 1479 Put 5, 55, 73, -14 in decreasing order. 73, 55, 5, -14 Sort 115, 7, -115 in decreasing order. 115, 7, -115 Sort -0.501, 12, 20 in descending order. 20, 12, -0.501 Sort 77, -4, 735 in descending order. 735, 77, -4 Sort 16, 2, 0, 18. 0, 2, 16, 18 Put 3, -1, 5, -588, 1 in increasing order. -588, -1, 1, 3, 5 Put 16, 2, -4, 5, -27, 19 in ascending order. -27, -4, 2, 5, 16, 19 Put -893/2, -2/9, 3 in decreasing order. 3, -2/9, -893/2 Sort -65, 0, -11, -3, 3 in descending order. 3, 0, -3, -11, -65 Put -8, 3, 0, 13844 in increasing order. -8, 0, 3, 13844 Sort 3, 5, 231 in ascending order. 3, 5, 231 Sort -9, -7, -5, -3, -1138 in ascending order. -1138, -9, -7, -5, -3 Put 5, -62, 1533, 3, 0 in descending order. 1533, 5, 3, 0, -62 Sort 15, -2/21, -0.5, 1/4, 0.04. -0.5, -2/21, 0.04, 1/4, 15 Sort 0, -629, -8, -1. -629, -8, -1, 0 Put -11/114, -4/9, -1 in decreasing order. -11/114, -4/9, -1 Put 89, -8, -9, 0 in decreasing order. 89, 0, -8, -9 Sort 12, -205, 3, -14. -205, -14, 3, 12 Sort -19, 2, -314, -81, 1. -314, -81, -19, 1, 2 Sort -3, 2, -2, -201, -1 in ascending order. -201, -3, -2, -1, 2 Put 7, 38, -8, -1, 0, -5 in increasing order. -8, -5, -1, 0, 7, 38 Put -0.1, -1.45, -0.2, -1, 29, 0.1 in descending order. 29, 0.1, -0.1, -0.2, -1, -1.45 Put -1, -0.2, 0.94, -4, -0.208 in descending order. 0.94, -0.2, -0.208, -1, -4 Sort -45/4, 0, -1/4, 3, 2/47 in increasing order. -45/4, -1/4, 0, 2/47, 3 Sort 6, 4/3, -3, 4, 37/313 in ascending order. -3, 37/313, 4/3, 4, 6 Put 150, -40, -2, 10, 4 in descending order. 150, 10, 4, -2, -40 Put 7, -3/2, -1/5, -2, 0.2, -4274 in increasing order. -4274, -2, -3/2, -1/5, 0.2, 7 Put 2, 6, -69, -68 in ascending order. -69, -68, 2, 6 Sort -1, -8, -19, 3 in decreasing order. 3, -1, -8, -19 Sort -214842, -4, 0, 4. -214842, -4, 0, 4 Sort -2, 151, 4, -3, 6. -3, -2, 4, 6, 151 Sort 150/109, -3/7, -2. -2, -3/7, 150/109 Sort -2, -3, 2, -10, -15 in decreasing order. 2, -2, -3, -10, -15 Sort -626, -3, 11 in ascending order. -626, -3, 11 Sort 5, 2, -4, -137 in ascending order. -137, -4, 2, 5 Sort -5, 27/5, 12023 in descending order. 12023, 27/5, -5 Sort -3, 6/13, -16.39, 0.1 in descending order. 6/13, 0.1, -3, -16.39 Sort -4, -2/43, 19, 0.29 in ascending order. -4, -2/43, 0.29, 19 Put -118, 4, -619 in ascending order. -619, -118, 4 Put -4, -133, -53 in decreasing order. -4, -53, -133 Sort 5/1203, 1/7, -2, -2/7, -2/9. -2, -2/7, -2/9, 5/1203, 1/7 Sort -8/11, 74, 2 in increasing order. -8/11, 2, 74 Sort 2, 0.75, -10 in increasing order. -10, 0.75, 2 Sort 10, 6, 2, 122 in ascending order. 2, 6, 10, 122 Sort 1, -1, -82, 58 in increasing order. -82, -1, 1, 58 Put -712, 14, 1/5, 0 in descending order. 14, 1/5, 0, -712 Sort 0, -1, 1, 436, 3, -3 in descending order. 436, 3, 1, 0, -1, -3 Sort 0, -5, -0.1, -155.2 in decreasing order. 0, -0.1, -5, -155.2 Put 325, 0, 5, -112 in increasing order. -112, 0, 5, 325 Put 1, -9, 0, 6, 11 in ascending order. -9, 0, 1, 6, 11 Put -1/5, -2/85, 2, 0.45 in ascending order. -1/5, -2/85, 0.45, 2 Sort -4, 4, -117, 9, -18, 2. -117, -18, -4, 2, 4, 9 Sort 0.3, -27.544, -1, 0.4 in increasing order. -27.544, -1, 0.3, 0.4 Put -0.5, -0.073, 190.7 in descending order. 190.7, -0.073, -0.5 Put 127/4, -0.7, -0.4 in decreasing order. 127/4, -0.4, -0.7 Sort -2, 3, -2342, -5 in descending order. 3, -2, -5, -2342 Put 2, -42/19, -3/4, 3, -38 in increasing order. -38, -42/19, -3/4, 2, 3 Put 7, -4, -1/6, -3/5, 2/9, -79 in increasing order. -79, -4, -3/5, -1/6, 2/9, 7 Sort 408, -4.75, -2. -4.75, -2, 408 Sort -2.1, -2/7, -0.1, 1.4, 4.7 in increasing order. -2.1, -2/7, -0.1, 1.4, 4.7 Sort 69, 0, 1, -6/5 in descending order. 69, 1, 0, -6/5 Put -7, 5, 453, -3 in descending order. 453, 5, -3, -7 Sort 34, 10, -1, 1, 5 in descending order. 34, 10, 5, 1, -1 Sort -114, -11, -0.08, 7. -114, -11, -0.08, 7 Sort 33, 3, -4, 4, 34. -4, 3, 4, 33, 34 Put 2, 0.17707, 0.5 in descending order. 2, 0.5, 0.17707 Sort -0.9, 0.01, 19, 5, 2/13. -0.9, 0.01, 2/13, 5, 19 Sort 150, -2, -0.01, -0.1, 1 in descending order. 150, 1, -0.01, -0.1, -2 Put -3893, -5, -447 in decreasing order. -5, -447, -3893 Put 0.34, 0.3, 9, 4, -2/403 in descending order. 9, 4, 0.34, 0.3, -2/403 Put -19, -2/7, -3/14, 1.2, 6/7 in decreasing order. 1.2, 6/7, -3/14, -2/7, -19 Sort 5, 87340, 1 in increasing order. 1, 5, 87340 Sort -5, -2377, -1, -4, 2 in descending order. 2, -1, -4, -5, -2377 Sort 2/420869, -1, -3/2 in ascending order. -3/2, -1, 2/420869 Put 0.2, -2, 1.3, -3, -4, 0 in descending order. 1.3, 0.2, 0, -2, -3, -4 Sort -8, 2, -3, 231, 5, 3 in increasing order. -8, -3, 2, 3, 5, 231 Sort -27, -4904, -5 in increasing order. -4904, -27, -5 Put 7, 221, 1, -155 in increasing order. -155, 1, 7, 221 Sort -9, -1, 17, -5, 1, 5. -9, -5, -1, 1, 5, 17 Sort 8, 3, -1, -5, -4, -15 in decreasing order. 8, 3, -1, -4, -5, -15 Sort -0.1, 1/69, 5, -1055 in descending order. 5, 1/69, -0.1, -1055 Sort 1, 1189.05, 2. 1, 2, 1189.05 Sort -45, 7.1, 3 in decreasing order. 7.1, 3, -45 Sort 5, -14347, 2. -14347, 2, 5 Sort -0.1, 2/21, 9, 1/73, 0, 17 in ascending order. -0.1, 0, 1/73, 2/21, 9, 17 Put -7, -53685, 1 in descending order. 1, -7, -53685 Put -3, 5, -274, -2, 3, 4 in decreasing order. 5, 4, 3, -2, -3, -274 Put 1, 178, 5, -7, 0 in descending order. 178, 5, 1, 0, -7 Put 4, 0.1064, -0.24, -2/13 in decreasing order. 4, 0.1064, -2/13, -0.24 Put 3, 0.27, 6, -2/9, -5, 4 in decreasing order. 6, 4, 3, 0.27, -2/9, -5 Sort -1886/13, -4, 2/21 in decreasing order. 2/21, -4, -1886/13 Put 0, 35181, 5 in decreasing order. 35181, 5, 0 Sort -0.02443, 2/5, -8/9, 2, 1 in ascending order. -8/9, -0.02443, 2/5, 1, 2 Put 27, 3, 0, 10, -92, 5 in descending order. 27, 10, 5, 3, 0, -92 Sort 1, 12, -104, -12, 4, 0 in increasing order. -104, -12, 0, 1, 4, 12 Sort 3, 4661.41, 0.3 in ascending order. 0.3, 3, 4661.41 Sort 6, 0, 12, 1, 3. 0, 1, 3, 6, 12 Sort 1/6, -0.4, -0.29, -55/3 in ascending order. -55/3, -0.4, -0.29, 1/6 Sort 0, 9, -125, 4, 5 in decreasing order. 9, 5, 4, 0, -125 Sort 13/4, -1, 2/35, -13 in descending order. 13/4, 2/35, -1, -13 Sort -6/13, 5/2, -3, 8, 0.12, -2 in decreasing order. 8, 5/2, 0.12, -6/13, -2, -3 Sort 1, -3, 9/4, -105, -0.5. -105, -3, -0.5, 1, 9/4 Put 4, 6.515, -19 in descending order. 6.515, 4, -19 Sort 4, -249, 7, 0, -3 in increasing order. -249, -3, 0, 4, 7 Sort 7.51, -1/3, 32/5 in ascending order. -1/3, 32/5, 7.51 Sort -7, 53, 0.07, -2 in increasing order. -7, -2, 0.07, 53 Put 2, -203, 5, 0, -148 in decreasing order. 5, 2, 0, -148, -203 Put -5, 73904, -2 in descending order. 73904, -2, -5 Sort 6, 3, 119/2, -0.2, 2/17 in increasing order. -0.2, 2/17, 3, 6, 119/2 Sort -1, -32, -3121, -3 in ascending order. -3121, -32, -3, -1 Sort 1, 5, -0.4, -3.4, -1.6. -3.4, -1.6, -0.4, 1, 5 Sort 36, 0, 20, 5, 3. 0, 3, 5, 20, 36 Put 1, 1/9, 2/17, 2/177, -1/2 in increasing order. -1/2, 2/177, 1/9, 2/17, 1 Put -8, -220, 4, 8 in ascending order. -220, -8, 4, 8 Sort -20, 36, -10, 0. -20, -10, 0, 36 Sort -2, 5/13, -1/14, -4, -3, 4 in decreasing order. 4, 5/13, -1/14, -2, -3, -4 Sort 10, -7, -3, 171, -3/2. -7, -3, -3/2, 10, 171 Sort -61, 5, -2, 3, 49, -13. -61, -13, -2, 3, 5, 49 Sort 23, -1/3, 0.4, -2/3, -3/74 in decreasing order. 23, 0.4, -3/74, -1/3, -2/3 Sort 1, -2/5, -4, -447/47. -447/47, -4, -2/5, 1 Put -1, 26, -15, 5, -3, 4 in ascending order. -15, -3, -1, 4, 5, 26 Sort -275, 5, -2 in descending order. 5, -2, -275 Put 8, -2, 1, -3, 3, -1 in descending order. 8, 3, 1, -1, -2, -3 Sort -1, 44, 1, -7. -7, -1, 1, 44 Put -16/3, 15/4, -2/7, -13, 2 in
{ "pile_set_name": "DM Mathematics" }
- 1, -3*f - 2*x + 67 = h. Is f prime? True Suppose -v = 5 - 8, 3*w + 2766 = -5*v. Let z be 1/3 - 2768/6. Let n = z - w. Is n a composite number? True Let q(i) = 31*i**3 - 4*i + 26. Is q(5) a prime number? True Suppose -73*h = -74*h + 6449. Is h a composite number? False Let b be 23/6 + 2/12. Let y(j) = 26*j - 7. Let o be y(b). Suppose 0 = 2*c - c - o. Is c a composite number? False Let y = 5 + -3. Let u(r) = 0*r**3 - r - y*r**2 - 10 - r**3 + 9. Is u(-5) prime? True Suppose 0 = 9*x - 15*x + 75642. Is x a prime number? False Let x = -82 - -97. Is (-9)/x - (-27896)/10 a composite number? False Suppose 4666 = 11*h - 9*h. Is h a prime number? True Suppose -2*g = -g - 4. Suppose g*j = 2*q - 11 + 1, q - 5 = -2*j. Suppose j*b - 6*b + 1758 = 0. Is b prime? True Suppose 2*n - 4*o = 14, 16 - 4 = 2*n - 3*o. Suppose 425 = 3*m + 2*m + 4*i, n*i = 0. Is m composite? True Let g(w) = w**3 + 14*w**2 - 7*w + 20. Let z be g(-11). Suppose -5*r + z + 1605 = 0. Is r a prime number? False Suppose 2955 = 2*g - 973. Suppose 8*s - 4*s - 2949 = -3*b, 2*b = -2*s + g. Is b prime? False Let o(k) = -2*k**3 - 7*k**2 - 3*k - 4. Let t be o(-3). Is -7*(368/4)/t composite? True Let s = -3862 + 7271. Is s composite? True Suppose -4*v - 14706 + 54990 = 0. Let z = v + -15398. Is z/(-49) + 4/14 prime? True Suppose -5*n = -3*z - 5746, 4*n - z - 5510 = -909. Is n a composite number? False Let p(g) = -g**3 - 5*g**2 - 6*g - 5. Suppose t + 16 = -3*t. Let f be p(t). Let o = f + 30. Is o composite? True Let h be 21/4 - 7/28. Suppose 1953 = -5*v + 2*o + 6394, 0 = -h*v + 3*o + 4444. Is v a composite number? False Suppose -2*g + 127 = -95. Let w = -44 + g. Is w composite? False Suppose -2*c + 5*a + 62 = -c, 293 = 4*c - 5*a. Suppose 0 = -4*u - 3*u + c. Is u a prime number? True Suppose 0 = -5*c + 2*q + 10307, -q + 640 = c - 1427. Is c a composite number? False Let p(f) be the first derivative of -13*f**2/2 - 13*f - 1. Let u = -1296 + 1290. Is p(u) composite? True Let s(o) = -2*o - 2. Let j be s(-5). Let n(h) be the third derivative of 3*h**4/4 - h**3/6 - 25*h**2 + h. Is n(j) composite? True Suppose 5*i = i + 8980. Suppose -5*u = -0*u - i. Is u a prime number? True Suppose -15 = -3*z - 2*z. Suppose -1 = 2*h - 3*r, 0 = -z*h + 5*r - r. Suppose -396 = -h*w + 112. Is w composite? False Let s(j) = -j**2 - 4*j - 3. Let u be s(-5). Let f(l) = 3*l**2 - 5*l - 11. Is f(u) prime? False Let k = 7 - 3. Suppose -s + 2*m + 815 = 0, -m = -0*s + k*s - 3260. Suppose 2*q + 3*q - s = 0. Is q a composite number? False Let g be 4/(-16)*-4 + 1*655. Let x = g + 855. Is x a composite number? False Let f(v) = 3*v**3 + 3*v**2 - 8*v - 1. Let d be f(-6). Let t = d - 40. Let o = -370 - t. Is o a composite number? False Suppose -5*y + 3*j = -y - 73580, -5*y + 91970 = -5*j. Is y a composite number? True Suppose 0 = 3*p - l - 200958, -70332 = 2*p - 5*l - 204317. Is p prime? False Suppose -3*a - a - 4*l + 8992 = 0, 3*l = -5*a + 11250. Let s = 583 - a. Is (-1)/(-3) + s/(-3) a prime number? True Let i = -17773 - -31667. Is i prime? False Suppose -40 = -3*w - 25. Suppose -5*q = -4*v - 817 - 2932, 0 = 3*q + w*v - 2242. Is q prime? False Let m be ((-9)/3)/(-6)*-289*2. Let i = 840 + m. Is i a prime number? False Suppose 105 + 55 = -5*t. Let z = 70 + -1. Let b = t + z. Is b a prime number? True Let y be 9 + (-1)/((-1)/2). Suppose -y = -3*q + 1. Suppose -4*w - q*v = -288, -v - 4*v - 42 = -w. Is w a composite number? False Suppose 0 = -567*m + 559*m + 8344. Is m a composite number? True Let c be (141 + (-20)/(-5))*12/(-10). Let b = c - -520. Is b a prime number? False Let r = -12 - -16. Is 0 + -7 + r + 790 a prime number? True Suppose 0 = 2*j + d - 528, 0 = 64*d - 62*d - 4. Is j a prime number? True Let w(s) = 5*s - 1. Let h be w(5). Suppose -h*k + 480 = -19*k. Suppose 2*m + 5*x - k = 0, -3*x = -5*m - 8*x + 270. Is m a composite number? True Let k = 1424 + 1027. Let m be k*1 + -2 + 2. Suppose 5*t + 4*f = m, -t + f = 4*f - 499. Is t a composite number? False Let d = -6058 - -11619. Is d a prime number? False Let f be (-2)/((-16)/(-2)) + (-273)/(-52). Let m(x) = -x**2 - 11*x + 7. Let h be m(-8). Suppose -416 + h = -f*w. Is w composite? True Let b be (0 - 1 - -5)/2. Suppose -5*w - 10 = 0, 892 = b*d + 3*d - w. Is d a prime number? False Let m(x) be the second derivative of -150*x**3 - x**2/2 - 29*x. Is m(-2) a composite number? True Let c be 1/(-2)*(-4 - -4). Suppose c = 3*w - w + 536. Let g = 445 + w. Is g a composite number? True Let g be -4*3*3/(-6). Let l(m) = -m**3 - m**2 + m. Let s(k) = -254*k**3 - 6*k**2 + 5*k + 2. Let z(b) = g*l(b) - s(b). Is z(1) a composite number? True Suppose -3 = 2*d + 5*s - 67, -3*d = -4*s - 142. Let y be 2/((-7)/(d/(-4))). Suppose 0 = 3*i + 3*t + t - 98, -y*i - 3*t = -99. Is i prime? False Let h be 3 + (-4)/((-4)/(-3)). Suppose h = 7*s + 551 - 6816. Is s composite? True Let s = 9573 - 4861. Suppose -4*a + 3*a + s = 4*f, -4*a = -5*f + 5869. Is f composite? True Let x = -29 - -8. Let o(j) = -j**3 - 19*j**2 + 8*j + 23. Is o(x) prime? False Let o = 15 + -15. Suppose 85 = r - o*r. Is r a prime number? False Is -61141*(-5)/(-15)*(3 + -6) a composite number? False Let w(g) = g**3 - 5*g**2 + 6*g - 4. Suppose -2*s + 2*h + 2 + 2 = 0, s - 3*h = -2. Let t be w(s). Suppose j = -t*x + 129, 5*x - 94 = 2*j + 51. Is x prime? True Suppose 11*w - 4*w + 168 = 0. Let j = w - -28. Suppose -j*d = -4*c + 852, -2*c - 5*d - 140 = -580. Is c a composite number? True Let c(m) = 3*m**3 - 34*m**2 - 13*m - 13. Let i = 41 + -27. Is c(i) prime? True Let f = 1797 - -3592. Is f a prime number? False Suppose 8*m + 188 = 6*m. Let q = 209 + m. Is q a prime number? False Let h(g) = 3*g**3 - 9*g**2 - 11*g + 20. Let n be h(8). Let k = 2403 - n. Is k a prime number? True Let n be ((-24)/5)/((-6)/940). Suppose 5*m = -197 + n. Suppose -5*a = -224 - m. Is a a prime number? True Let u = 52808 + -9055. Is u a composite number? False Suppose 2*k = -3*s + 36792, -5*k - s + 42903 + 49064 = 0. Is k a composite number? True Let n = 86 - -384. Let l = -25 + n. Is l composite? True Let a be (6/(-3))/(2/2268). Let k = 1472 + a. Let l = 1161 + k. Is l prime? False Let o = -94 - -67. Let f = -6 - o. Is f a prime number? False Suppose 14 = d - 5. Let c = 22 - d. Suppose 37 = 4*g - c*g. Is g a composite number? False Suppose -611*c = -610*c - 29551. Is c a composite number? True Let w(p) = p + 36. Suppose -x + 28 = 3*k + 11, -4*x + 4*k = -68. Is w(x) prime? True Suppose 0 = 26*s - 30*s + 8. Suppose -l + s*a - 8 = 1, 5 = -a. Let u = 130 - l. Is u composite? False Suppose -4*x + 2*b = 5*b - 1052, 0 = 3*x - 4*b - 814. Let j = -148 + x. Is j prime? False Is (6 + 28681)*(5 + -3 + -1) prime? True Let g be (22 + -501)/((-1)/(-7)). Let k = -1974 - g. Is k composite? True Let d(m) = 103 + m + 71 - 21 - 10. Let g = 23 + -23. Is d(g) a prime number? False Suppose 55*a + 4 = 54*a. Let o(s) = -9*s**3 - 6*s**2 - s - 3. Is o(a) composite? True Let h(w) = 453*w + 15. Is h(2) a composite number? True Let j be 6/10*(-14 - -19). Suppose 0 = -j*q + 5*k + 7, 0 = k - 6*k + 5. Suppose -3*s + 0*v = q*v - 351, 4*s = 2*v + 446. Is s a composite number? False Let w = 14 + -9. Suppose 0 = a - 2 + w. Is ((-10)/a)/(6/333) composite? True Let g be 2 - (-1)/(1/(-2188)). Is 6/9 + g/(-6) a prime number? False Let p(f) = 116*f**2 - 3*f + 44. Is p(5) a prime number? False Let q be 2/(-4) + (-265)/10. Let z = q - -99. Suppose 0 = 4*g - z - 116. Is g composite? False Let j(s) = 10*s**2 - 13*s + 38. Is j(9) composite? True Let w = 13436 - 6967. Is w a composite number? False Suppose -u = 4*p - 7367, -6*p + p + 29501 = 4*u. Is u a composite number? True Let n = -175 - -1686. Is n a composite number? False Suppose 8*a - 4*b - 148680 = 0, -2*b + 4 = 12. Is a composite? False Let r(l) = 2*l**3 + 9*l**2 - 8*l + 3. Let h(x) = x**3 + x**2 - x - 1. Let k(o) = -6*h(o) + r(o). Let g be (-650)/182 - 3/7. Is k(g) composite? True Suppose 6*n - 5*n - v = 72355, -n + 72343 = 5*v. Is n a prime number? True Let k = -12154 + 24815. Is k prime? False Suppose 4032 - 30728 = -8*r. Is r a composite number? True Suppose 22*w + 102 = 20*w. Let f = 8 - w. Is f prime? True Is 6 + (-71439)/(-33) - 2/(-11) prime? False Suppose 5*d = 2*k + 16198 + 7585, -3*d + 14268 = -3*k. Is d a composite number? True Suppose -o + 10097 + 2261
{ "pile_set_name": "DM Mathematics" }
at is y(x(r))? -64*r Let x(b) = -2*b. Suppose 4*w = 16, -5*k + 0*w + 62 = -2*w. Let i(r) = -125*r + 24 - k - 10. Determine i(x(f)). 250*f Let r(f) be the second derivative of 7/12*f**4 + 0*f**2 - 2*f - 1 + 0*f**3. Let a(b) = 3*b**2. Calculate r(a(c)). 63*c**4 Let z(x) = -55*x**2 - 9*x. Let g(j) = -190285*j + 1. Calculate g(z(q)). 10465675*q**2 + 1712565*q + 1 Let g(h) = -26*h**2 - 2 + 2. Let s(m) = m**2 - m - 1. Let c(x) = -x - 1. Let q(r) = -2*c(r) + 2*s(r). Calculate g(q(f)). -104*f**4 Let a(g) = -3*g + 15. Let j(t) = t**2 - t - 27. Let f be j(-5). Let y be a(f). Let c(k) = -9*k - y*k + 13*k. Let p(h) = 2*h. Calculate p(c(i)). -4*i Let y(p) be the third derivative of p**5/20 + 12*p**2. Suppose 3*r - 1775 = 2992. Let o(h) = -3179*h + 1591*h + r*h. What is o(y(z))? 3*z**2 Let d(j) = 3148432*j. Let f(l) = -6*l**2. Determine d(f(c)). -18890592*c**2 Let g(n) = -111*n**2. Let o(i) = -i**2 - 12*i - 29. Let t be o(-5). Let x(w) = w**2 + 12. Let s(k) = 2*k**2 + 26. Let y(q) = t*s(q) - 13*x(q). Give g(y(l)). -111*l**4 Let k(m) be the third derivative of m**5/60 + 220*m**2 + 13. Let q(b) = -232*b**2 - 2. What is k(q(o))? 53824*o**4 + 928*o**2 + 4 Let s(j) = -5*j. Let x be (-221)/(-65) + 4/(-10). Let n(o) = 7*o + 13*o + 16*o - x*o. What is n(s(p))? -165*p Let s(l) = -15152*l**2 - 460. Let j(o) = -3*o**2. Give s(j(m)). -136368*m**4 - 460 Let b(v) = -v - 1. Let s(l) = -3*l**2 + 3*l + 3. Let w(t) = -3*b(t) - s(t). Let x(h) be the second derivative of 89*h**4/12 - 1615*h + 23. What is w(x(i))? 23763*i**4 Let g(z) be the second derivative of 5*z**3/3 + 937*z. Let j(w) = 18*w + 5. Determine g(j(c)). 180*c + 50 Let o(n) be the third derivative of -n**5/5 + n**4 + 146*n**2 - 8. Let r(u) = -2*u. Give r(o(j)). 24*j**2 - 48*j Let t(i) = -i. Let f(n) = -583*n. Let v(m) = 579*m. Let g(d) = -5*f(d) - 4*v(d). Determine t(g(o)). -599*o Let l(n) = 74*n - 37. Let k(g) = g**2 + 2*g - 1. Let p(v) = 37*k(v) - l(v). Let y(a) be the second derivative of 5*a**4/12 + 14*a. Determine p(y(b)). 925*b**4 Let h(t) = 2655*t + 3. Let s(v) = 43*v. Determine h(s(b)). 114165*b + 3 Let j(q) = 4*q**2. Let u(h) = -4*h**3 + 3*h**2 + 47*h - 17. Let b be u(-11). Let o(i) = b*i - 8*i**2 - 5153*i. Calculate j(o(d)). 256*d**4 Let y(m) be the first derivative of 0*m**2 + 11/3*m**3 + 13 + 0*m. Let t(x) = -4 + 3 - x + 1. Calculate t(y(d)). -11*d**2 Let n(a) = -7*a + 504. Let g(h) = -4*h + 307. Let w(f) = 13*g(f) - 8*n(f). Let r(y) = 2*y. Give r(w(q)). 8*q - 82 Let j(n) = -2*n - 5 + 5. Let g(k) = -k**2 + 10*k + 11. Let x be g(8). Let b(z) = -x*z - 8*z - 2*z - 15*z + 21*z. Give b(j(y)). 62*y Let r(j) = 188*j**2. Let n(x) = 3*x**2 - 188*x - 5. Determine n(r(v)). 106032*v**4 - 35344*v**2 - 5 Let r(b) = -2315201*b. Let g(d) = 3*d. Give r(g(t)). -6945603*t Let i(d) = -11*d. Let q(a) = -15*a + 9. Let c be q(0). Let o(j) = -14*j + 15*j - c*j. Give o(i(p)). 88*p Let p(t) = -25*t. Let x(n) = -12*n. Let h(a) = -p(a) + 2*x(a). Let l(g) = 1490*g**2. What is h(l(m))? 1490*m**2 Let z(t) = -107429*t**2 - 107434*t**2 + 214864*t**2. Let a(g) = 7*g**2 + 6*g**2 + 66*g**2. What is z(a(d))? 6241*d**4 Let i(n) = n. Let h(s) be the first derivative of s**4/4 - 50*s + 30. Let v(f) be the first derivative of h(f). Calculate v(i(r)). 3*r**2 Let h(o) = 34*o + 30*o - 94*o + 32*o. Let a(x) = -2*x - 5. Let v(b) = -2*b - 5. Let p be 3*(-2 + (-6)/(-9)) + -2. Let j(y) = p*a(y) + 5*v(y). Determine j(h(d)). 4*d + 5 Let m(g) be the third derivative of 31*g**5/20 + 2522*g**2 - 2. Let p(t) = 12*t**2 - 3. Calculate m(p(q)). 13392*q**4 - 6696*q**2 + 837 Let a(p) be the third derivative of 7499*p**5/60 - 741*p**2. Let b(u) = u. What is b(a(k))? 7499*k**2 Let z(n) = 2*n**2. Let o(d) = 1 - 4199*d**2 + 424*d**2 + 1 - 2. Determine o(z(f)). -15100*f**4 Let u(j) = 16*j**2. Let f(p) be the third derivative of 161*p**5/60 + 2517*p**2. Calculate f(u(d)). 41216*d**4 Let l(w) = -44028*w. Let y(v) = 2662*v**2. What is y(l(d))? 5160193255008*d**2 Let d(k) = -3*k**2. Let u(s) = 68042753*s**2. Calculate u(d(v)). 612384777*v**4 Let y(n) be the first derivative of 19*n**2/2 - 4226. Let k(s) = 3*s + 16. Calculate k(y(z)). 57*z + 16 Let g(b) = -43*b. Let r(c) be the second derivative of 2*c**4/3 - 1183*c. What is g(r(w))? -344*w**2 Let h be (-89)/(-3) + (-18)/27. Let r(x) = h - 67 + 38 - 2*x. Let m(b) be the third derivative of -b**5/12 + b**2. What is r(m(f))? 10*f**2 Let i(h) = 1004*h + 82. Let v(y) = -2*y + 75. Give v(i(j)). -2008*j - 89 Let b(a) = a. Let n(r) = 22*r + 5532162. What is b(n(v))? 22*v + 5532162 Let t(q) = 76*q. Let p(u) = 143061*u**2. What is t(p(f))? 10872636*f**2 Let d(l) = -11*l**2. Let i(j) = -476*j**2 + 5*j + 5. Let u(h) = -242*h**2 + 3*h + 3. Let w(t) = 3*i(t) - 5*u(t). Calculate w(d(b)). -26378*b**4 Let g(m) = 310*m**2 - 620*m**2 + 305*m**2. Let n(d) = -4*d - 27. Determine g(n(i)). -80*i**2 - 1080*i - 3645 Let v(u) = -228*u. Let r(c) be the first derivative of 2*c**3/3 - 2416. Determine r(v(l)). 103968*l**2 Let f(d) be the first derivative of 44 + 14/3*d**3 + 0*d**2 + 0*d. Let a(q) = 6*q - 10. Let u(g) = 2*g - 3. Let x(z) = 3*a(z) - 10*u(z). Calculate x(f(l)). -28*l**2 Let z(g) = 11 - 7*g - 6 - 5. Let u(w) be the second derivative of 1/6*w**3 + 0 - 12*w + 0*w**2. Give z(u(y)). -7*y Let q(h) = -33*h**2 + 12*h + 474. Let w(k) = -2*k**2 + 2*k + 79. Let n(g) = q(g) - 6*w(g). Let z(d) = 0 + 0 + 8*d**2. Determine z(n(j)). 3528*j**4 Let k(l) be the third derivative of 5*l**4/12 + 7*l**2. Suppose q + 8 = -5*w + 21, 3*q = -4*w + 28. Let f(b) = 253 - 253 - q*b. Give f(k(i)). -80*i Let u(m) = -3*m**2 + 84*m + 150. Let c(v) = 7*v**2 - 189*v - 298. Let a(q) = 4*c(q) + 9*u(q). Let s(k) = 4*k**2. Calculate s(a(l)). 4*l**4 + 1264*l**2 + 99856 Let v(p) = 71303415*p. Let h(c) = -3*c**2. Determine v(h(b)). -213910245*b**2 Let q(c) be the second derivative of c**3/6 - 27*c**2/2 + 24*c. Let z(t) be the first derivative of -t**2/2 - 251. Determine z(q(j)). -j + 27 Let k(c) = 6*c + 47. Let i(f) = -6*f - 4. Let w(l) = 9*l + 5. Let m(x) = -5*i(x) - 4*w(x). Calculate k(m(v)). -36*v + 47 Let v(f) = -17*f**2 + 480*f + 9. Let d(o) = 73*o**2 - 1919*o - 39. Let q(a) = 3*d(a) + 13*v(a). Let t(m) = -4*m. What is t(q(s))? 8*s**2 - 1932*s Let h(d) = 2*d**2. Let g(s) be the third derivative of s**4/24 - 85*s**3/6 + 142*s**2. What is g(h(l))? 2*l**2 - 85 Let n(t) = 313*t - 627*t + 316*t. Let o(c) = -77*c + 35. Let p(s) = s - 1. Let l(u) = -o(u) - 35*p(u). Determine n(l(d)). 84*d Let f(v) = 43*v. Let t(o) = 86*o. Let p(k) = -11*f(k) + 6*t(k). Let l(j) be the third derivative of -j**5/20 + 79*j**2. Calculate p(l(y)). -129*y**2 Let q(h) = h - 8. Let j be q(7). Let c be 1*2*j/(-1). Let v(d) = 3*d**2 - 5*d**2 + 3*d**c. Let o(s) = 8*s. Determine o(v(w)). 8*w**2 Let a(g) be the first derivative of 22*g**3/3 - 1. Let q(n) = -3*n + 2. Let j(s) = 22*s - 14. Let d(c) = j(c) + 7*q(c). Determine d(a(k)). 22*k**2 Let s(a) = -3*a + 14. Let r(b) = -12*b + 42. Let w(j) = -r(j) + 3*s(j). Let h(u) = u + 786. Determine h(w(c)). 3*c + 786 Let j(m) = 432661664*m - 1. Let g(c) = -c**2. Calculate j(g(h)). -432661664*h**2 - 1 Let g(y) = -286*y + 8. Let k(f) = -91 - f**2 - 116 + 326 - 119. Give k(g(c)). -81796*c**2 + 4576*c - 64 Let o(c) = c**2. Suppose 0 = 3*a + 80 - 8. Let n = a + 48. Let w(k) = -3 - 4 + 7 + n*k**2. Give w(o(x)). 24*x**4 Let y(a) = 21105*a - 42541*a - 3*a**2 + 20790*a. Let s(c) = c**2. Give y(s(i)). -3*i**4 - 646*i**2 Let b(o) = -o. Let r(a) be the second derivative of -79*a**4/3 - a + 157. Give b(r(h)). 316*h**2 Let k(q) = 33216*q - 1. Let z(f) = 9*f. Calculate k(z(i)). 298944*i - 1 Let d(p) = -242*p - 17. Let n(i) = -37*i**2 + 6*i - 2. Calculate d(n(z)). 8954*z**2 - 1452*z + 467 Let o(h) = 569122*h**2. Let l(d) = 162*d**2. Give l(o(q)). 52471775843208*q**4 Let q(r) = 336*r + 1. Let x(a) = -2*a**2 + 7*a - 527. What is x(q(b))? -225792*b**2 + 1008*b - 522 Let u(p) be the third derivative of 13*p**4/24 - 1154*p**2. Let h(t) = -8*t. Calculate u(h(d)). -104*d Let i(b) = -3*b**2. Suppose 5*n = -2*n + 14. Let l(t) = -1345*t**2 + 686*t**n + 675*t**2. Determine l(i(k)). 144*k**4 Let y(g) be the first derivative of -701*g**3 - 2542. Let s(k) = -2*k**2. Determine y(s(n)). -8412*n**4 Let l(x) be the first derivative of 2*x**3/3 - 3587. Let g(n) = 2512*n**2. Give l(g(m)). 12620288*m*
{ "pile_set_name": "DM Mathematics" }
3*p - 2699366 wrt p? -5264873 What is the derivative of 107038289*n - 4268449? 107038289 Find the second derivative of 46*a**2*u**2 - 39*a**2 - 318349*u**2 + 691970*u wrt u. 92*a**2 - 636698 Find the third derivative of -1536556*g**3 - 2182389*g**2 + g. -9219336 What is the third derivative of 145487*g**3*u - 646*g**3 - 40*g**2*u - g**2 + g*u - 2*g + 2*u - 1953 wrt g? 872922*u - 3876 Find the second derivative of -24856947*r**2*x**2 - 4*r*x + 3*r + 491518*x**2 - 2 wrt r. -49713894*x**2 What is the second derivative of 3647128*p**4 - 7638146*p wrt p? 43765536*p**2 What is the second derivative of 156640943*o**5 - 85891991*o + 2 wrt o? 3132818860*o**3 What is the third derivative of 136*d**3*i*z - 133*d**3*i + 15*d**3*z + 2*d**2*i*z + 2*d**2 - 296545*i wrt d? 816*i*z - 798*i + 90*z What is the third derivative of -7632298*i**5 - 371*i**2 + 2*i - 1333 wrt i? -457937880*i**2 What is the derivative of -2*f*r**2 - 4*f*r - 5*f - 131787*r - 262932 wrt r? -4*f*r - 4*f - 131787 Differentiate 16*g**3*k**2 - 390*g**3 + 3*g**2*k**2 + 20568*g**2 - 70796*g*k with respect to k. 32*g**3*k + 6*g**2*k - 70796*g Find the second derivative of 9232*i*z**2 + 35462*i*z - 87*z**3 + 2*z - 16 wrt z. 18464*i - 522*z What is the derivative of -252928700*p**3 - 315608731? -758786100*p**2 Find the third derivative of 14*v**4 + 253978*v**3 - 5*v**2 + 359*v - 654 wrt v. 336*v + 1523868 What is the second derivative of -34272089*t**5 - 319985*t + 9 wrt t? -685441780*t**3 Find the third derivative of 153158115*n**3*s - 114*n**2*s - 46*n**2 + n*s + n - 4*s + 2 wrt n. 918948690*s Differentiate 75697211*l**4 + 21768341. 302788844*l**3 What is the third derivative of 18939*c**5 + 255*c**4 + 2*c**3 - 34*c**2 + 65*c - 2832 wrt c? 1136340*c**2 + 6120*c + 12 Find the first derivative of 3*n**2*o**3 - 2*n**2 + 1407998*n*o**3 + 9*n - 12562 wrt o. 9*n**2*o**2 + 4223994*n*o**2 What is the second derivative of 4281022*j*z**3 - 24*j*z**2 - 2*j - 2*z**3 - 81*z - 2074771 wrt z? 25686132*j*z - 48*j - 12*z Find the second derivative of -89141*u**5 + u**3 + 37*u**2 + 2*u - 3450886. -1782820*u**3 + 6*u + 74 Find the second derivative of 4*i**3 + 423712*i**2 + 2*i - 2389853. 24*i + 847424 Find the third derivative of -65*x**5 - 131177*x**3 - 35687287*x**2 wrt x. -3900*x**2 - 787062 What is the third derivative of 3286364*j**5 + 3*j**4 + 72240841*j**2? 197181840*j**2 + 72*j Find the third derivative of -32*g**5 + 11233*g**4 - 220875*g**2 + 12*g wrt g. -1920*g**2 + 269592*g Find the second derivative of -758*n**4 + n**3 - 15544*n**2 - 52438154*n wrt n. -9096*n**2 + 6*n - 31088 Differentiate -2045*d*i + 25*d + 156*i - 1442 wrt i. -2045*d + 156 What is the second derivative of 24*m*q**2 - 896*m*q + 41*m + 57401*q**2 + q + 12 wrt q? 48*m + 114802 What is the second derivative of -8752750*q**2 - 17*q + 123615? -17505500 What is the second derivative of 14*u*v**3 - 34371447*u*v - 2*u - 571694*v**5 wrt v? 84*u*v - 11433880*v**3 Differentiate -11491311*c**3 + 427073 with respect to c. -34473933*c**2 What is the derivative of -601856136*y*z + 278679089*y + 2 wrt z? -601856136*y What is the second derivative of 4920293*k**4 + 2*k**3 - 124613734*k wrt k? 59043516*k**2 + 12*k Find the second derivative of 83*f*z**2 - 362*f*z - 12019*z**2 - 3327*z wrt z. 166*f - 24038 Find the second derivative of -232755561*w**3 + 154*w + 1168020 wrt w. -1396533366*w What is the second derivative of 1983906*k**5 + 23*k - 103484 wrt k? 39678120*k**3 Find the third derivative of 43435*j*r**5 - 251*j*r**3 - 2*j*r**2 + 2*j*r - 21*r**2 + 2282 wrt r. 2606100*j*r**2 - 1506*j What is the third derivative of 42850845*a**3 - 30567411*a**2 wrt a? 257105070 Find the third derivative of -6723820*l**3 - 10937547*l**2 wrt l. -40342920 What is the first derivative of 2*u**3 + 560*u**2 + 945*u - 241789? 6*u**2 + 1120*u + 945 What is the derivative of -1027*o**3*p**2 + 2184*o**3*p*w**3 + 9*o**3 + 42*o*p**3 + 8504*p**3*w wrt w? 6552*o**3*p*w**2 + 8504*p**3 What is the third derivative of 74711100*k**3*r**3 + k**3*r**2 - k**3 - 16*k*r**2 + 109*k*r + r wrt r? 448266600*k**3 What is the derivative of -10*u**3 - 2302*u**2 - 159*u - 26629978? -30*u**2 - 4604*u - 159 What is the third derivative of 143450126*g*u**4 - g*u**3 + 43*g*u**2 - 3*g*u + 1582*g - u**2 wrt u? 3442803024*g*u - 6*g What is the first derivative of -17*x**2 - 3641703*x + 140505646 wrt x? -34*x - 3641703 Find the third derivative of 7356278*z**4 + z**2 + 449*z - 706 wrt z. 176550672*z Find the first derivative of -38954914*n**3 - 5571588. -116864742*n**2 What is the derivative of 149807837*h*t**2 - 177502735*t**2 wrt h? 149807837*t**2 Find the third derivative of -117596899*a**3 + 515109130*a**2 wrt a. -705581394 What is the second derivative of 4*r**3 - 522348*r**2 - 920276*r? 24*r - 1044696 Find the second derivative of -36178930*a*p**2 - 1305*a*p + 2*a - 17*p - 18 wrt p. -72357860*a What is the derivative of 162*k*q*r - 8*k*r + 95343*k - 11*q**3 - 65*q**2*r - 2*r + 2 wrt q? 162*k*r - 33*q**2 - 130*q*r Differentiate 743107*n**2*v**3 - 2*n**2 + 35*n*v**3 + 74*v**3 + 33*v**2 + 3035*v with respect to n. 1486214*n*v**3 - 4*n + 35*v**3 Find the third derivative of 1451078*c**3 + 633*c**2 + 141*c + 8 wrt c. 8706468 What is the derivative of -120382*h**2 - 25*h + 127030965 wrt h? -240764*h - 25 What is the second derivative of 22134*l*p*r**2 + 48*l*p*r - p*r**2 + 71769*p*r - 9*r**2 wrt r? 44268*l*p - 2*p - 18 Find the second derivative of -59770206*o**2 + 15092433*o. -119540412 Find the first derivative of 657*m**2*y + 469*m**2 - m*y + 2*m - 679*y + 32 wrt m. 1314*m*y + 938*m - y + 2 Find the third derivative of 2*g**5 + 2911645*g**4 - 3*g**3 + 2*g**2 + 6*g + 176371 wrt g. 120*g**2 + 69879480*g - 18 Find the second derivative of -6*f*t**2 - 11*f*t - 9*f - 10258953*t**2 + 275069*t wrt t. -12*f - 20517906 What is the first derivative of 168*j**4 - 170*j**3 + 2*j**2 + 25*j - 3759774 wrt j? 672*j**3 - 510*j**2 + 4*j + 25 What is the second derivative of 14416417*v**2 + 3*v - 68731? 28832834 Find the third derivative of 2*c**6 - 381*c**4 + 1356*c**3 - 477*c**2 + 213*c - 60. 240*c**3 - 9144*c + 8136 What is the third derivative of 1595*v**6 + 571*v**5 + 90*v**2 + 271*v + 3 wrt v? 191400*v**3 + 34260*v**2 What is the third derivative of -17961781*b**5 - 2*b**2 + 5178029*b? -1077706860*b**2 Find the third derivative of 190978*b**6 + 382*b**5 - 2*b**2 - 3093*b - 71855. 22917360*b**3 + 22920*b**2 What is the derivative of 28040617*j*o - 85962*j + 12 wrt o? 28040617*j Find the third derivative of 1742396*u**3 - 3504*u**2 + 927*u. 10454376 Find the third derivative of 12270976*k**5 + 10954924*k**2 wrt k. 736258560*k**2 Find the first derivative of 14*c*r - 1892*c - 5493769*r wrt c. 14*r - 1892 What is the third derivative of -8086748*i**4 - 17961191*i**2? -194081952*i Differentiate -31394483*l**3 - 34787957 wrt l. -94183449*l**2 What is the first derivative of -3*g**2*w**3*x - 106774*g*w*x - w**3 + 71*w**2 - 28*w*x - 96 wrt g? -6*g*w**3*x - 106774*w*x What is the derivative of 1091181105*x**4*y**2 + 2222*y**2 - 2*y - 6447 wrt x? 4364724420*x**3*y**2 What is the third derivative of 50*s**5 + 139758*s**4 - 52*s**2 + 84164*s wrt s? 3000*s**2 + 3354192*s Find the first derivative of -647917*m**3*q**3 + 103*m**3*q - 273783800*m**3 wrt q. -1943751*m**3*q**2 + 103*m**3 What is the third derivative of 42669859*i**2*j**3*s + i**2*j**2 + 54*i**2 - 30*i*j**2*s + 10991*j**2*s wrt j? 256019154*i**2*s Find the third derivative of 1084680*g**2*s**3 + 80*g**2*s**2 - 4*g**2*s + 990*g**2 + 4*g*s**3 + 2*g*s wrt s. 6508080*g**2 + 24*g What is the third derivative of -1875*f**4*n - f**4 + 2*f**3*n + 18*f**3 + 43752648*f**2*n wrt f? -45000*f*n - 24*f + 12*n + 108 What is the first derivative of 1495*g*j**2*x**2 - 103*g*o**2*x**2 - 6*j**2*o**2*x**2 + 2*j**2*o**2 - 5*j**2*o + 48*j*o*x**2 - 25*o**2 wrt g? 1495*j**2*x**2 - 103*o**2*x**2 What is the second derivative of -537*v*z**3 + 165*v*z**2 - 5982*v*z - 2*z**3 + 4*z**2 - 5*z + 165 wrt z? -3222*v*z + 330*v - 12*z + 8 Find the first derivative of -1384102744*v + 854910311. -1384102744 Find the second derivative of -17620721*m**2*x**3 + 3*m*x**3 - 1218247*m*x wrt m. -35241442*x**3 Differentiate -5*y**4 + 2174*y**2 - 224*y + 33836372. -20*y**3 + 4348*y - 224 What is the t
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 l and 1 w when two letters picked without replacement from {l: 3, e: 2, k: 6, w: 1}. 1/22 Four letters picked without replacement from ktajjjknndnajn. What is prob of picking 1 k, 2 j, and 1 t? 12/1001 Three letters picked without replacement from chchccmhmc. Give prob of picking 3 h. 1/120 What is prob of picking 1 k and 1 c when two letters picked without replacement from wccccwcccceccwoek? 5/68 Four letters picked without replacement from kklbllkkklkklllkl. Give prob of picking 1 k and 3 l. 16/85 What is prob of picking 1 k and 2 q when three letters picked without replacement from {q: 11, k: 2}? 5/13 Calculate prob of picking 2 a when two letters picked without replacement from {t: 6, a: 8, r: 1}. 4/15 Four letters picked without replacement from jjgggggjggggjggjgj. What is prob of picking 2 j and 2 g? 11/34 What is prob of picking 1 i and 1 n when two letters picked without replacement from {b: 1, h: 2, i: 1, n: 2}? 2/15 Three letters picked without replacement from {w: 7, o: 4}. What is prob of picking 1 w and 2 o? 14/55 Four letters picked without replacement from {s: 8, m: 1, r: 5, g: 1, x: 2}. Give prob of picking 4 r. 1/476 Three letters picked without replacement from teoetmeoeoom. What is prob of picking 1 e and 2 m? 1/55 What is prob of picking 3 w and 1 v when four letters picked without replacement from wvjwwwwwwwwww? 3/13 Three letters picked without replacement from {u: 3, d: 15, x: 2}. Give prob of picking 3 u. 1/1140 Calculate prob of picking 2 l and 1 a when three letters picked without replacement from aaaaaaaalaalaaal. 39/560 Two letters picked without replacement from {n: 4, h: 6, k: 4, q: 3}. What is prob of picking 1 n and 1 q? 3/34 Calculate prob of picking 1 n and 1 d when two letters picked without replacement from paadpaaapanpa. 1/78 Two letters picked without replacement from oyjoyyyyoo. Give prob of picking 2 o. 2/15 Four letters picked without replacement from {y: 6, i: 4, q: 3}. Give prob of picking 2 q and 2 y. 9/143 Two letters picked without replacement from lsals. Give prob of picking 2 l. 1/10 Two letters picked without replacement from mmrzvzzmmbmbmzpb. What is prob of picking 1 p and 1 r? 1/120 Four letters picked without replacement from {a: 2, w: 2, x: 5, o: 4, m: 1}. Give prob of picking 2 w and 2 o. 6/1001 Four letters picked without replacement from ekkkeaekeekkak. Give prob of picking 3 e and 1 k. 10/143 Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {y: 2, o: 7, l: 3}. 7/33 Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, z: 1}. 1/4 What is prob of picking 4 r when four letters picked without replacement from qrrrqr? 1/15 What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 2, a: 1, k: 1, w: 2, l: 1}? 4/21 Three letters picked without replacement from gdgdmjmddgg. Give prob of picking 2 d and 1 m. 4/55 Four letters picked without replacement from btutbbbbbbbuubkblbu. Give prob of picking 1 l and 3 u. 1/969 Two letters picked without replacement from {v: 13, s: 6}. Give prob of picking 2 v. 26/57 Four letters picked without replacement from tddnttsnjdddvdssd. Give prob of picking 1 j, 1 n, and 2 t. 3/1190 What is prob of picking 1 m, 1 b, and 2 k when four letters picked without replacement from ememmmmmmbebkkm? 16/1365 Two letters picked without replacement from oyorr. Give prob of picking 1 r and 1 o. 2/5 What is prob of picking 2 n when two letters picked without replacement from {v: 5, r: 2, n: 9}? 3/10 Three letters picked without replacement from osvnyvz. What is prob of picking 1 y, 1 z, and 1 n? 1/35 Calculate prob of picking 1 e, 1 k, and 1 r when three letters picked without replacement from enork. 1/10 Calculate prob of picking 1 e and 1 u when two letters picked without replacement from uuueuuvvuu. 7/45 Calculate prob of picking 1 s, 1 i, and 2 h when four letters picked without replacement from {h: 3, s: 10, i: 1, l: 4}. 1/102 What is prob of picking 2 s when two letters picked without replacement from {c: 1, x: 4, o: 6, s: 6, j: 1}? 5/51 Two letters picked without replacement from {p: 11, e: 1}. Give prob of picking 2 e. 0 Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 4, i: 1, s: 2, d: 1}. 2/7 Three letters picked without replacement from {f: 3, d: 2, w: 1, p: 1}. What is prob of picking 1 p, 1 d, and 1 w? 2/35 Four letters picked without replacement from nmnmnxnmmnmxnnmnn. What is prob of picking 3 n and 1 x? 6/85 Three letters picked without replacement from {i: 8, g: 4, u: 4}. Give prob of picking 1 u and 2 g. 3/70 Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {j: 2, x: 11, b: 2, z: 4}. 110/969 Two letters picked without replacement from tmmtmtrdvummmvmtuu. What is prob of picking 2 u? 1/51 What is prob of picking 1 m and 1 u when two letters picked without replacement from juunmn? 2/15 Three letters picked without replacement from {d: 6, t: 8, w: 1}. What is prob of picking 3 d? 4/91 Two letters picked without replacement from cjczzcjcccjjj. What is prob of picking 1 j and 1 z? 5/39 Calculate prob of picking 1 b and 3 x when four letters picked without replacement from xxbxxbxxbxxxxxxbxxxx. 448/969 Four letters picked without replacement from yymmmcdlldvyd. Give prob of picking 3 y and 1 v. 1/715 Four letters picked without replacement from ttttttccketkctc. Give prob of picking 1 c and 3 t. 32/195 Calculate prob of picking 2 n when two letters picked without replacement from eeneeneeeee. 1/55 Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {n: 4, q: 9, c: 1, l: 1}. 1/105 Calculate prob of picking 1 v, 1 e, 1 f, and 1 i when four letters picked without replacement from {c: 2, e: 1, i: 2, f: 4, v: 6, k: 4}. 4/323 Three letters picked without replacement from ririrwrurrurwir. What is prob of picking 1 w and 2 r? 8/65 What is prob of picking 2 b when two letters picked without replacement from bvwb? 1/6 Three letters picked without replacement from gzzzozwzwzowwzokkjzj. Give prob of picking 1 j, 1 o, and 1 g. 1/190 What is prob of picking 1 n and 1 p when two letters picked without replacement from dpkznkzn? 1/14 What is prob of picking 1 d and 1 r when two letters picked without replacement from rrreedddrrrrrerrrr? 4/17 Calculate prob of picking 4 i when four letters picked without replacement from {a: 3, i: 7, q: 9}. 35/3876 Calculate prob of picking 2 e when two letters picked without replacement from {h: 7, e: 12}. 22/57 What is prob of picking 1 a, 1 i, and 1 c when three letters picked without replacement from {c: 4, u: 1, a: 2, i: 4}? 32/165 Three letters picked without replacement from {n: 3, f: 2}. What is prob of picking 1 n and 2 f? 3/10 Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {f: 1, b: 1, p: 3, a: 3, l: 1, j: 6}. 1/105 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {m: 7, r: 2, k: 4, b: 6, g: 1}. 14/95 Four letters picked without replacement from {w: 9, y: 7}. What is prob of picking 4 y? 1/52 Three letters picked without replacement from {x: 9}. What is prob of picking 3 x? 1 What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 1, n: 1, v: 2, b: 1}? 1/10 What is prob of picking 1 m, 1 b, and 1 j when three letters picked without replacement from {h: 1, b: 1, y: 1, m: 1, j: 1}? 1/10 Four letters picked without replacement from {a: 2, q: 10}. Give prob of picking 4 q. 14/33 Two letters picked without replacement from {w: 1, q: 12}. What is prob of picking 1 w and 1 q? 2/13 Calculate prob of picking 1 f and 3 y when four letters picked without replacement from {f: 2, v: 1, y: 2}. 0 Calculate prob of picking 1 w, 1 t, 1 l, and 1 d when four letters picked without replacement from {t: 1, h: 1, w: 1, d: 3, i: 4, l: 4}. 12/1001 Two letters picked without replacement from gaz. What is prob of picking 1 z and 1 g? 1/3 Two letters picked without replacement from ncxep. What is prob of picking 1 p and 1 x? 1/10 Three letters picked without replacement from {y: 1, j: 3, o: 6, q: 4}. Give prob of picking
{ "pile_set_name": "DM Mathematics" }
rder. 5, y, i Let j = -4/9 + -7/45. Let x = 7.9 + -0.9. Let d = -6 + x. Sort j, -3, d. -3, j, d Let v = 0.01 - 5.01. Put 9, v, 1/2 in decreasing order. 9, 1/2, v Let r = 7.81 + 0.19. Let y = r - 8.2. Let t = 4.04 + -0.04. Put t, y, 0.5 in descending order. t, 0.5, y Let x be ((9/4)/((-6)/(-16)))/2. Suppose 2*g = t - 4, -5*t = 3*g + 13 + 6. Let v be (-2)/(-9) + 34/9. Sort t, v, x in increasing order. t, x, v Let s be 10/(-35) + 190/126 - 1. Let d = -15.8 + 14. Let l = d - -2. Sort l, s, 1 in descending order. 1, s, l Let a = 8 - 7.8. Let u = -15.4 + 15. Let c = -33 + 135/4. Sort u, c, a in decreasing order. c, a, u Suppose 0*a - 2*a = -4. Let f be 1 + 0 + 0 + 2. Suppose 2 = f*o + 5. Sort a, -4, o in increasing order. -4, o, a Let i = -13 + 13.09. Let q = i - 0.39. Let w = -0.13 - -5.13. Sort q, w, -0.5 in increasing order. -0.5, q, w Let j(s) = s**2 - 2. Let r be j(3). Suppose -3*n + 1 = r. Let z be (-1*n/(-1))/(-2). Sort -5, -3, z. -5, -3, z Suppose 0 = 5*c + 4*h + 63, 3*c - 2*h + 34 = 5. Let a = -15 - c. Sort 1, 4, a. a, 1, 4 Let c = 4 - 8. Let k = -5 - c. Sort 4, k, 0 in increasing order. k, 0, 4 Let m = -13 - -14. Sort m, -5, 0.03 in descending order. m, 0.03, -5 Let r = -0.9 + -4.1. Let o = 2/127 - -121/381. Put o, -4, r in increasing order. r, -4, o Suppose 5*x = -4*a + 13, 2*a + 4 = -2*x + 5*a. Let q(u) = -u + 2. Let k be q(-4). Let w be (x + k/(-3))*-3. Sort 0, -2, w. -2, 0, w Let y be 40/70 - 4/14. Let c = 0 - 0.2. Let i = c - -0.4. Sort y, -2/15, i. -2/15, i, y Let z be 2 + -3 + 2*2. Suppose 4 = -z*g - 5. Let f = -0.4 - 4.6. Put 2, g, f in descending order. 2, g, f Let f be (-38)/(-5) + 16/40. Suppose 0 = -h + n + 7, -3*h = -2*n - f - 9. Sort -2/3, h, -1/6. -2/3, -1/6, h Let v = 62 - 61.4. Put v, -0.2, -0.1, -0.3 in decreasing order. v, -0.1, -0.2, -0.3 Let p = -3 - 2. Let j be (-8)/(-10) + 2/10. Put -0.1, j, p in decreasing order. j, -0.1, p Let d be (-1 - 1) + (-4 - -3). Put 2, 0, d, 5 in descending order. 5, 2, 0, d Suppose -r - 3 = -2*r. Suppose -3*h + 9 = 5*a, -r = -2*h - 3*a + 3. Sort 4, -2, h in decreasing order. 4, h, -2 Suppose -7*u = -3*u + 12. Let c = u - -5. Let g be 2/(2*(-4)/8). Put c, g, 4 in descending order. 4, c, g Let d = 5 + -5. Let z = 1 + d. Let v be (-12)/(-16)*(-2 + z). Put v, -3/5, -0.3 in descending order. -0.3, -3/5, v Suppose -4*a - 2 + 13 = -3*n, 4*a + 3*n - 29 = 0. Suppose 10 = a*m - 3*b - 6, 4*m - 5*b = 18. Suppose 0 = i - 2 - m. Sort -1, 0.1, i in ascending order. -1, 0.1, i Let f = 70 + -54. Sort -3, 2/25, f. -3, 2/25, f Suppose -53 = -3*s + 1. Let m = s + -14. Put 5, -1, m in decreasing order. 5, m, -1 Let l(d) = -d**2 + 6*d. Let u be l(6). Suppose 3*w = 5*h - 2, -2*h - 5 = -5*w + 17. Suppose 4*z - w = z. Sort 5, u, z in increasing order. u, z, 5 Let s = 8 + -7. Put 0, s, 4 in descending order. 4, s, 0 Let z(j) = -2*j**2 - 1 + j**2 + 2*j - 4*j. Let q be z(-2). Let s = -269 - -267. Put 3, q, s in ascending order. s, q, 3 Let s = 0.33 + -0.13. Sort -4/7, -3, s. -3, -4/7, s Let y = 3.4 - 3.2. Put y, -1/4, 5 in increasing order. -1/4, y, 5 Let c(g) = -g**2 - 4*g + 5. Let b be c(-4). Let x be ((1 - -1)*-14)/(-1). Let p be -9*(x/12 + -2). Sort 1, b, p in decreasing order. b, 1, p Let u = -10 + 19. Suppose -5*t = -1 - u. Suppose -5*b + 15 = -2*b. Sort b, -3, t. -3, t, b Let f be -1 + -1*((-12)/(-4) - 8). Put -2, f, 2, -7 in increasing order. -7, -2, 2, f Let w = -0.448 + 0.048. Sort 1, w, 2, -5 in increasing order. -5, w, 1, 2 Suppose -o - x + 2 = 0, o + 5*x - 13 = -3*o. Let i be (6/18)/(1/(-3)). Let a be 4/(-24)*(o - i). Put 1/2, -4, a in ascending order. -4, a, 1/2 Let y be (-52)/(-14) + 2/7. Let c = 14 + -15. Put y, -5, c in increasing order. -5, c, y Suppose -2*z - 11 = 1. Sort z, 0.2, 2. z, 0.2, 2 Let v = 1.2 - 0.9. Put v, 7/3, -0.2 in increasing order. -0.2, v, 7/3 Let j be 1/6*33/22. Suppose 0 = i - l, -3*l - 5 = -i - 7*l. Let u be -4*i/(-30) + 0. Put 0.1, u, j in descending order. j, u, 0.1 Let p be 30/(-105) + 18/14. Sort 4, -4, p in decreasing order. 4, p, -4 Let i(b) = -4*b - 9. Let x be i(-3). Put 0.2, 0.3, 0, x in decreasing order. x, 0.3, 0.2, 0 Suppose -5*n - 33 = -2*o, o - 4*o = n - 7. Let i be 2/3*-6*1. Let z be i*4/(48/9). Sort o, 5, z in increasing order. z, o, 5 Let s = 55/108 + -1/108. Let y = -0.7 - 0.3. Sort -0.06, s, y. y, -0.06, s Let s = 29 + -26. Sort -5, s, -2 in descending order. s, -2, -5 Let a = 0.12 + -0.72. Let c = a + 1.1. Sort 2/7, c, 2. 2/7, c, 2 Let t(x) = x**3 + 7*x**2 + x + 8. Let n be t(-7). Let l be n*-2 + (-80)/(-36). Sort l, -4, -3 in descending order. l, -3, -4 Let f = 29 - 26. Let r = 4 + -6. Put f, -0.1, r in increasing order. r, -0.1, f Suppose u - 21 = -4*c - 1, 2*u + 8 = 4*c. Let o = 4 - u. Suppose o = k - 2*q, -k - 2*q + 20 = 3*k. Sort 3, 2, k in increasing order. 2, 3, k Suppose 2*s = -2*s + 16. Let p = 14 - 9. Let x = p + -6. Put s, -4, x in ascending order. -4, x, s Suppose -3*z + 19 = 22. Put -5, z, -8, 1 in ascending order. -8, -5, z, 1 Let k(l) = 2*l**2 - l - 1. Let y be k(2). Sort y, -4, 2 in descending order. y, 2, -4 Let d = 1 - -1. Let f = -30 + 30. Put d, -5, f in descending order. d, f, -5 Let m(u) = -u**2 + 2*u + 1. Let k be m(2). Let z = 13 + -9. Sort k, -1, z in decreasing order. z, k, -1 Let k = 23.886 - -0.114. Sort 2, 5/4, k in descending order. k, 2, 5/4 Let d = -20 - -36. Let r be d/15 + (-4)/10. Sort 0, 1/2, r in decreasing order. r, 1/2, 0 Let m be 1 - (-2 - 0/(-2)). Let k = 17 - 17. Sort k, m, 4 in increasing order. k, m, 4 Let o(c) = -c**2 + 3*c + 4. Let h be o(3). Suppose 2*v = 3*v - 2*b - h, -4*b - 12 = -3*v. Sort v, -3, 3. -3, 3, v Let w be (2/6)/((-1)/3). Let f(j) be the second derivative of j**5/20 - j**4/2 + j**3/6 - 3*j**2 - j. Let r be f(6). Sort r, 1, w in descending order. 1, r, w Let c = 1 + 4. Let u(r) = r**3 - 11*r**2 - 14*r + 21. Let z be u(12). Sort 6, c, z. z, c, 6 Let f(h) be the first derivative of -h**4/4 - 2*h**3/3 + h**2 - h - 6. Let i be f(1). Put 1, -5, i in descending order. 1, i, -5 Let d = -0.03 - -0.13. Let a = 0.12 - 3.11. Let y = a - 0.01. Sort d, y, -0.2 in descending order. d, -0.2, y Let v = 34 + -39. Sort 0.03, v, -0.3 in increasing order. v, -0.3, 0.03 Let j = 14 + -9. Let b(n) be the second derivative of n**4/6 + n**3/3 - n**2 - 3*n. Let v be b(-2). Sort j, -3, v in increasing order. -3, v, j Let t = 7 + -6.5. Let r be (3/12)/(1/(-2)). Put t, r, 4 in descending order. 4, t, r Let h(k) = -k**3 - 5*k**2 - 6*k - 3. Let j be h(-4). Let w be -1 + 9/(-3) - -1. Let b = -2 - -4. Sort j, w, b in decreasing order. j, b, w Suppose 22 = 2*v - 4*p, -p = 3*v + 4*p + 22. Put v, 9, -0.1 in decreasing order. 9, v, -0.1 Let f = 107.6 + -108. Sort 4, -1, f, 1/3 in decreasing order. 4, 1/3, f, -1 Let i(s) = -s + 4. Let l be i(15). Let r = l + 16. Suppose -3*a - 4*n - 1 = -0*a, -2*n = -2*a - 10. Put a, 3, r in descending order. r, 3, a Let u(p) = -p**3 - p**2 + 8*p + 6. Let l be u(-3). Put l, 3, -2 in decreasing order. 3, l, -2 Let v be 0 - (2 + (0 - 1)). Let w be (-17)/5 + (-2)/(-5). Put v, w, 2 in increasing order. w, v, 2 Suppose 0*d - d - 4 = 0. Let j be ((-2)/9)/(d/3). Let r = 370/549 + -14/61. Put -1/4, r, j in decreasing order. r, j, -1/4 Let w(u) = -u**2 + 8*u - 1. Let d be w(8). Let y = -8 - -13. Put d, -4, y in ascending order. -4, d, y Let k = -0.5 + -7.5. Let c = 7.5 + k. Suppose 12 = -5*h - 8. Sort c, h, 0 in ascending order. h, c, 0 Suppose -3*h + 5*g + 7 = 0, -4*g = -4*h - 0*h + 12. Suppose 0 = i + 4*i. Let r = 2 - 1. Sort i, h, r. i, r, h Let s be 3/7 - (-54)/(-28). Let r = -50 - -353/7. Sort -0.4, s, r in decreasing order. r, -0.4, s Let g = 677/4 + -169. Sort 0, 1, g, 1/7. 0, 1/7, g, 1 Let p be -1*1*(-12)/(-4). Sort p, 2, -4 in descending order. 2, p, -4 Suppose -43 = -5*h - 18. Suppose w + h = -0. Let k be ((-9)/w - 1)/(-1). Sort k, -0.1, -5 in descending order. -0.1, k, -5 Let j be (-2)/4*48/36. Put j, -4/13, -3 in increasing order. -3, j, -4/13 Let j = 13 + -8. Suppose -3 = j*g + 2. Put -3, g, 4 in increasing order. -3, g, 4 Let b = 26 + -207/8. Let q = 0.5 - 1.5. Sort b, q, 0.3 in ascending order. q, b, 0.3 Suppose -j = j + 8, -5*j = -5*v + 35. Let a = 0.011 + -0.011. Put a, v, -1 in descending order. v, a, -1 Let q be (-2120)/440 + 2/(-11). Suppose 2*k - 6 = -4. Sort k, q, 4. q, k, 4 Let c = 0
{ "pile_set_name": "DM Mathematics" }
Let g = 42 - 70. Let w = 30 + g. Which is the closest to 1? (a) -0.1 (b) w (c) 2/7 c Let f = -257/6 + 43. What is the nearest to 2 in -6, 0, f, 2? 2 Let g = 606 + -601. What is the closest to g in -1, 2/13, 0.1, 0? 2/13 Let i = 4.99 + 0.01. Let f = -68 + 112. Let x = f + -41. What is the closest to 1/3 in x, 0.1, i? 0.1 Let d = -150 + 88. Let t = -61 - d. What is the nearest to t in 1/4, 2/3, -1/2? 2/3 Suppose 3*k = -5*p, -4*p - 15 = -2*k - 37. Let s(i) be the first derivative of i**3/3 - i - 18. Let m be s(0). Which is the closest to m? (a) p (b) 4 (c) 0.1 c Let s = 78.5 + -78.3. What is the closest to 1 in -0.5, -169, s? s Let j = -0.884 - -0.484. What is the nearest to 2/3 in -2/3, -5, 1/4, j? 1/4 Let t(h) be the first derivative of h**3/3 - 3*h**2 + 13. Let v be t(6). Which is the closest to 1? (a) v (b) -0.12 (c) 0.5 c Let a = -11 - -7. Let g be 5 + (-4 - a - 2). What is the closest to g in 2/7, -0.4, 2? 2 Let l = -209/4 - -617/12. Which is the nearest to 2? (a) 0.1 (b) l (c) 0.3 (d) 3/16 c Let m = -2 + 7. Let p be 3 - (106/4)/((-51)/(-6)). Let z = -1.6 + 1.5. Which is the nearest to z? (a) m (b) -3 (c) p c Let o = 38.9 - 39. What is the closest to -0.1 in o, 5/3, -4? o Let d = 2.1 + -0.8. Let v = -1 + d. Let a be (1/(-6))/(1/(-2)). What is the closest to a in v, 2/5, 0.2? v Let q = 127/50 + -1/25. Let l = -120 + 120. Which is the closest to l? (a) -0.1 (b) 0.4 (c) q a Let i(u) = u**2 - 5*u + 2. Let j be i(5). Let f = -5 - -3.5. Let q = f - -0.5. Which is the closest to q? (a) j (b) 0.4 (c) 1 b Let t = 0.3 - -4.7. Which is the closest to -1/4? (a) -0.5 (b) t (c) 0.4 a Let j = 0.06 - 2.06. Let r = -5.1 - -3.1. Which is the nearest to r? (a) 1/2 (b) j (c) -4 b Let f = 5299/3 - 1766. Which is the closest to f? (a) 0.1 (b) -0.07 (c) -0.1 (d) -4 a Let v = -0.3 - 3.7. Let p = -14 - 40. Let j = -59 - p. Which is the closest to -1? (a) v (b) j (c) 5 a Let l = 93/553 - 2/79. Let r = -5 - -5.15. Let z = -4.15 + r. What is the nearest to 2/3 in l, 2, z? l Let y = 135 + -132. Let c = y - 2.7. Suppose 5 - 2 = -4*z + x, -5*x = z + 27. What is the closest to z in -0.4, c, 1/3? -0.4 Let m = 149 + -149.2. Let g = -9 + 6. What is the closest to -1.5 in m, g, 2/7? m Suppose 13 = 2*l - 5*n - 5, -20 = 4*l + 4*n. Which is the closest to l? (a) 8 (b) -3 (c) 3 b Let z be -1*15/5 + (-9)/(-3). Let j = 0.03 - -1.97. Let q = j - 2. Which is the nearest to z? (a) -3 (b) 2 (c) q c Let v = 28 - 37. Let k = 30 + -29.9. Which is the nearest to k? (a) v (b) 1 (c) 5 b Let y = 601 - 600.6. What is the closest to 0 in -2, y, -1/2, 43? y Let b = 75 - 74. What is the nearest to -2/5 in -0.1, -22, b? -0.1 Let s = 0.849 + 0.151. Which is the nearest to -0.2? (a) s (b) 0.3 (c) -2/7 (d) -9 c Let t = 182 + -182.1. What is the nearest to 1 in t, -10, 0? 0 Suppose 50 = 8*q - 18*q. What is the closest to 4.3 in -0.4, 0.1, q, -0.5? 0.1 Let w = 103.7001 + -0.1001. Let o = -104 + w. What is the closest to o in 2/17, 0.5, -0.2? -0.2 Let t = -1738 + 1722. What is the closest to -1/6 in 3, t, 0.1? 0.1 Let a = 7 - 13/2. Let k(c) = -8*c + 2. Let d be k(0). Let h be (d - 1)/(6/4 - -2). What is the nearest to h in 4, -5, a? a Let u be 1 + (-9)/(-5) + -2. Let y = -128 - -127.9. What is the closest to y in 3, -2/5, u? -2/5 Let m(i) = -2*i - 1. Let n be m(3). Let k be 21/28 + n/20. Let o = 0.54 + -0.54. Which is the nearest to o? (a) -1 (b) -0.2 (c) k b Let o = -3 + 2. Let y = 128 + -638/5. What is the nearest to y in 2, o, 0.5? 0.5 Let d = -1.364 - -0.364. Which is the nearest to -1? (a) 3/5 (b) d (c) 0.065 b Let y be (-8)/(-7) + 0 + -2. Let s = -182 + 179. Which is the closest to -2? (a) -2/3 (b) s (c) y b Let w = -32/5 + 86/15. Let r be (-251)/(-3)*6/(-20). Let p = r + 51/2. What is the closest to w in 4, p, -1? -1 Let m = -0.223 - -0.123. Which is the nearest to m? (a) 0 (b) -3 (c) -2/7 a Let x be (-16)/21 - 18/(-42). Which is the nearest to x? (a) 1/6 (b) 2.2 (c) 0 c Let t = -800 + 1667/2. Let o = 74 + -41. Let z = t - o. Which is the nearest to z? (a) 0.5 (b) -0.3 (c) -3 a Let l = 371 - 370.9. What is the closest to l in -1/2, -4, 0.4, 4? 0.4 Let w = -50 + 148/3. Let g = 0.38 + 0.02. Let v = 249 - 260. What is the closest to -0.1 in w, v, g? g Let l = -0.3 - -2.3. Let x = -4.5 - -4.29. Let u = 3.79 - x. Which is the nearest to 2/3? (a) l (b) -0.4 (c) u b Let b = 2 - 6. Let j = -0.44 - -32.44. Let w = -31 + j. What is the nearest to w in b, -0.6, 0.3? 0.3 Let c = -0.79 + 0.59. What is the nearest to 1 in 0, c, 1/3, -2? 1/3 Let d = 268 + -241.8. Let m = d + -26. What is the closest to m in 4, 0.4, 1/4? 1/4 Let r be 12/60*(-6 + 2). Let g = 0.033 + 0.367. Let y(j) = j - 5. Let k be y(7). Which is the nearest to 1? (a) k (b) r (c) g c Let s = -1 - -0.9. Suppose -14 = 7*a - 0. What is the closest to a in s, 0.5, 0.6? s Suppose s - 3*s + 4*u = -14, 2 = 2*s + 2*u. What is the nearest to 2/3 in -2/7, 4, 0.2, s? 0.2 Let m = 87 - 195. Let l = -538/5 - m. Let k = -131.9 + 132. What is the closest to -1 in -0.5, l, k? -0.5 Let i = 4.9 - 5. Let h be (-68)/(-255)*-3 + 0 + -1. Which is the closest to -0.1? (a) h (b) -4 (c) i c Let i = 2848/15 - 821/5. Suppose -3*l = -3*n - 66, -3*n = 2*l - 1 - 63. Let t = l - i. Which is the nearest to 0? (a) t (b) 0.5 (c) -1 a Let y = -8.47 - -8.67. What is the closest to y in -5, 0.02, -10? 0.02 Let h = -0.27 + -0.03. Let x(g) = 9*g - 29. Let n be x(3). Which is the closest to 2/3? (a) n (b) h (c) 1 c Let k(w) = -w**2 + 92*w - 520. Let y be k(6). Which is the nearest to 2/5? (a) 0.5 (b) 4 (c) 7 (d) y a Let i be (-6)/8*(-24)/45. Suppose -3*o = -0*o + 408. Let d = -678/5 - o. What is the closest to i in 1, -3/5, d? d Let f = 57/4 + -14. Let s be 3*((70/6)/5 + -1). Let r be -4 + (-9)/15 + s. What is the closest to 1 in r, f, 0? f Let m = -629 - -628.6. Which is the nearest to 9? (a) m (b) 1/3 (c) 4 (d) -3 c Let v = -25.8 - -26.8. Let o = -109 - -60. Which is the closest to 1? (a) o (b) -0.3 (c) v c Let p = 14 + -9. Let y = p + -8. Which is the closest to 1? (a) y (b) -1 (c) -0.1 c Let q be 2*((-7)/(-2) + -3). Which is the nearest to q? (a) 0.3 (b) 1 (c) 30 b Let o = -0.19 + 0.07. Let y = 0.28 - o. Which is the nearest to 0.1? (a) y (b) 0.05 (c) 0.1 c Let p be (-10)/(-55) - (-7)/22. Suppose 4*a = -4*u + 3*a - 7, -5*a + 5 = 0. Let y = -68 + 69. What is the nearest to y in p, u, -0.1? p Let n = 0 - -27. Let q = n + -27.4. Let z = 25/33 - 1/11. What is the nearest to z in 1/2, q, 2? 1/2 Let l = 2 - 21. Let i = 16 + l. Let k be 3 - (i/(-4) - -2). Which is the closest to 2/5? (a) k (b) -1/9 (c) -2/17 a Let c = 71 + -70.71. Let m = c + 0.71. Let a = -2 + m. What is the nearest to 0 in a, -5/4, -1/8? -1/8 Let t = 11/25 + -247/675. Let u = 19/108 + t. Which is the closest to -3? (a) -2/3 (b) -4 (c) u b Let x be -15*(4/18)/(14/21). Let q be ((-12)/16)/((-1)/4). Let m be ((-1)/(-1) - q) + 1. Which is the closest to -2/9? (a) x (b) -2/15 (c) m b Let l = -235 - -224. What is the nearest to -1 in -0.4, l, -1, 1? -1 Let d = -75 + 74. Let v = 0.2 - 0.16. What is the nearest to d in v, 0, -0.1? -0.1 Suppose 0 = -3*v, -z = 2*z - 5*v - 54. Let i = z + -128/7. Which is the nearest to i? (a) -0.04 (b) 1 (c) -4 a Let p be (2/(-21))/(7/(-126)*4). What is the nearest to 1 in p, 6, 2, -0.6? p Suppose -11*a + 24 = -17*a. Let x = 0.02 + -4.02. Let w = 4.2 + x. What is the closest to -1 in a, 2/3, w? w Let z = -138 - -68. Let n = z + 69.94. Let r = 125/4 - 31. Which is the nearest to r? (a) n (b) -1/2 (c) 2 a Let n = 0 - 0.3. Let s = 718 - 720. What is the nearest to -0.1 in 3, s, n? n Let o be 60/90*(-6)/10. What is the nearest to -44 in -0.5, o, -1? -1 Let z = -1122.1 + 1122. Which is the closest to z? (a) -0.1 (b) 3 (c) 2/21 (d) -3 a Let u = 0.2 + -0.3. Let m = -0.0528 - -0.2528. What is the closest to 2/17 in -2, m, u? m Let r = 0.586 + 0.034. Let p = r - 0.22. Let w = -1 + 1.1. Which is the closest to w? (a) p (b) -4 (c) 1 a Let b be 102/156 - 1/2. Let m be -3 - -2 - (1 - 0). Let s = -6 - m. What is the nearest to -0.1 in b, s, -2? b Let i = 119.3 - 119.2. Which is the nearest to -0.4? (a) 3 (b) 4 (c) i (d) 0.07 d Let n be (-5)/(-25) + 536/20. Let k be (-10)/(-20) -
{ "pile_set_name": "DM Mathematics" }
o - 3*o + 98. Is o a composite number? True Let k be 24/(-14) + (-10)/35. Let s = 0 + k. Is 2/(368/182 + s) a composite number? True Let l(n) = 2*n**2 + 8*n - 4. Let t be l(-10). Suppose -5*f - 102 = -2*a + 54, 4*f - 91 = -a. Let x = t - a. Is x composite? True Let r(v) be the third derivative of 0 - 4*v**2 + 1/2*v**3 + 1/8*v**4 + 2/5*v**5 + 0*v. Is r(-2) composite? True Let q be (-28)/(-21)*(-1 - 122). Let w = 304 + q. Let a = 198 - w. Is a a prime number? False Suppose -3*q + 5*f = -3233 + 379, 1901 = 2*q - 5*f. Is q prime? True Is (-1)/((-148)/(-149) - 1) prime? True Suppose 3*l + 2 = -7. Is (l - -35) + -3 - -2 a prime number? True Is ((-4 - 4) + 2)*(-331)/2 composite? True Suppose 0 = -d + 2*x + 28, d + 3*x = 2*d - 25. Is d a composite number? True Let n(u) = -9*u**2 - 7*u - 3*u - 1 + 4 + 0*u - u**3. Is n(-10) composite? True Let z(b) = 218*b - 9. Is z(2) composite? True Is (89/2)/((-4)/(-8)) a composite number? False Let k = -27 - -6. Suppose 3*f + 5*v - 155 = f, -5*f - 5*v = -365. Let u = k + f. Is u prime? False Let r(h) = h + 7. Let k be r(-5). Suppose 5*t + 9 - 25 = 2*p, 2*t + 2*p = 12. Suppose 4*j - t*z - 512 = 0, k*z - 3*z = 1. Is j prime? True Let s(q) = q**3 + 14*q**2 + 9*q + 13. Is s(-13) a composite number? True Suppose 0*g + 26 = g. Is 3 + (g*3 - 4) composite? True Let v(g) be the first derivative of g**4 - g**3/3 + 4*g**2 - g - 6. Is v(4) composite? False Suppose -2*b = 5*o - 18944, 2*o - 7*o - 37888 = -4*b. Is b/112 + 6/14 a composite number? True Let q(a) = 5*a**2 - 3*a - 15. Suppose -3*g - 16 = c, 5*g + c + 36 = 6. Is q(g) prime? True Suppose -83 = 4*c - 3603. Suppose 0 = 4*i + 4*y - c, 2*i + 5*y - 223 = 211. Suppose 5*w = 3*w + i. Is w a composite number? True Let g = 1559 - 1038. Is g prime? True Suppose -9*c = -6*c. Let m(j) = -j**2 + 83. Is m(c) composite? False Suppose x - 2*l - 987 = 0, -4*x + 5*l = -x - 2957. Is x a prime number? False Let b(h) = -h**3. Let i(r) = r**3 + 7*r**2 - 11*r + 7. Let y(p) = -2*b(p) - i(p). Is y(8) a prime number? False Let y(s) = -3638*s + 9. Is y(-1) a composite number? True Let z(g) = -9*g**2 - 4*g + 6. Let b(l) = 2*l - 2. Let m be b(-2). Let r be z(m). Is (r/(-3))/2 + -2 a composite number? False Let g = 174 - 310. Let l = g - -213. Is l prime? False Is (-4 + 26/6)*669 a prime number? True Let k = 3 + -1. Suppose 5*g = k*j + g - 90, -4*g - 55 = -j. Is j prime? False Suppose -13*o + 11694 = -7*o. Is o prime? True Suppose -3*m + 348 = 3*c, 2*c + 3*c - 132 = -m. Let y = m + -53. Is y prime? True Let a be 5 + 2 + 4/(-2). Let y(u) be the first derivative of 2*u**3/3 + 2*u**2 + 7*u - 1. Is y(a) a prime number? False Is 16/24 - 142/(-6)*17 prime? False Let j = 284 - -871. Suppose 5*h - 185 - j = 0. Suppose 3*l + l = h. Is l prime? True Suppose -10*q + 3122 = -3*q. Is q a prime number? False Is 4*(-12)/(-16) + 12 composite? True Suppose -4*i = -4*m - 16, 2*i - 13 = m - 2. Suppose 22 = 3*t + i. Suppose -t*n + 277 = 92. Is n composite? False Suppose -234 = -2*f + 142. Suppose 2*u - 6*u + f = 0. Let z = u + 6. Is z a composite number? False Let p = 76 - 0. Is (p/(-4))/(1/(-2)) composite? True Let c = -5 + 10. Suppose -3*f - 168 = -3*g, 118 = 2*g + c*f + 13. Suppose 0*v + g = 5*v - 4*p, -5 = p. Is v a prime number? True Is (267/6)/((-2)/(-4)) a composite number? False Let j(s) = 140*s - 5. Is j(5) a prime number? False Is (-13)/(3/(-534)*2) a prime number? False Let v be (-4 - -3) + (-2 - -5). Is (0 - v)*76/(-8) a prime number? True Let i = 4 + -4. Suppose -3*z + 360 = 5*a, i = -5*z + z - 4*a + 472. Is z a composite number? True Suppose -2748 = -h - 5*r, 5*r - 3958 = -3*h + 4276. Is h a prime number? False Let y(c) = 12*c - 1. Let w(h) = 3*h**3 + h**2 - h. Let z be w(1). Suppose 0 = 5*j - 4*p - z, 18 = 2*j - 3*p + 7*p. Is y(j) a composite number? True Suppose y = 4*r - 102, -3*r - 4*y - 13 = -99. Is r a composite number? True Suppose 3*a + 3*n + 2*n - 324 = 0, 0 = 3*n. Suppose -42 + a = 2*s. Is s composite? True Let d(q) = -q**3 - 4*q**2 - 8*q - 4. Is d(-7) prime? True Suppose 5*m - g - 15 = 4*g, -2*m + 9 = -5*g. Suppose -m*u + 86 = -0*u. Is u a composite number? False Let n(z) = -70*z - 5. Is n(-1) a prime number? False Let h(f) = 251*f**3 + f**2 - 1. Suppose -4*k + 14 = -2*o, -k = 2*k - 12. Is h(o) a composite number? False Let l = -11 + -197. Let k = l - -399. Is k composite? False Let p be (-13)/(-2) - (-9)/(-6). Suppose 0 = -p*l, -64 = 3*n + 4*l - 229. Is n a composite number? True Suppose 3*s - u - 1208 = 0, -u - 426 = -s + 4*u. Is s prime? True Suppose 4*z = 2*v + z - 111, 4*z + 108 = 2*v. Let j be (-3)/((-4)/(v/9)). Suppose 4*y + 7 = j*y. Is y a composite number? False Let m(w) = 166*w**2 - 3*w - 3. Let q be m(-2). Suppose -c + 0*c = -q. Is c composite? True Suppose x = l - 2*x - 518, l - 519 = 2*x. Is l prime? True Let c = -5 - -4. Is (-2 + (c - -2))*-55 prime? False Suppose h - 46 = 12. Is h prime? False Let n be ((-24)/3 + 3)*-1. Suppose -5*b = -0*b + n*a - 585, -b - 3*a = -109. Is b prime? False Suppose s = -0*s + 2. Suppose 5*c = s*c + 489. Is c a composite number? False Is (-85595)/(-20) - ((-6)/(-8) - 0) composite? True Let y(d) = 2*d + 1. Let i be y(1). Let t be (-1)/i + (-632)/(-6). Suppose 0 = -6*h + h + t. Is h a prime number? False Let n = -57 + 383. Is n composite? True Suppose 0 = -0*s - s - 8. Let n(w) = -w**3 - 3*w**2 + 2*w - 11. Is n(s) composite? False Suppose -4*h + 2*c = 3 + 9, 5*h + 4*c = -2. Is h/(-7) - 160/(-28) composite? True Suppose -4*a = -10 + 2. Suppose -a*g - 27 = 3*i - 89, 2*g - 5*i - 94 = 0. Is g composite? False Let q(r) be the second derivative of 1/20*r**5 + 3*r - 2/3*r**3 - 1/2*r**2 + 0 + 7/12*r**4. Is q(-5) prime? False Let c = 1154 - 567. Is c composite? False Suppose 70 = i + 4*i. Is i prime? False Suppose -3*k + 984 = 4*z - z, -2*z - 1661 = -5*k. Is k prime? True Let r = -25 + 43. Let s(f) = 2*f**3 + 4*f**2 + 4*f - 1. Let v be s(-4). Is (-2038)/(-18) + r/v a composite number? False Let j(r) = 288*r**3 - r**2. Let k = -18 - -19. Is j(k) composite? True Let b be -1 - 2*15/(-3). Let l(d) = -d**3 + 8*d**2 + 13*d - 1. Is l(b) a prime number? False Suppose 2*f + 3*f - 2*y - 3165 = 0, 0 = -3*f - 2*y + 1883. Is f a composite number? False Suppose a + 2*y = 220, 3*a + 5*y = 12 + 643. Suppose 0*z - a = 5*s - z, -4*s + z = 168. Is (-135)/(-7) - (-12)/s prime? True Suppose d = 3*b - 4*d - 1325, b + 4*d = 453. Is b a prime number? False Suppose 5*o - 36 = 44. Let r(a) = a**2 - 11*a + 5. Is r(o) a prime number? False Let f = 6 + -5. Let u(x) be the third derivative of 3*x**6/10 + x**5/30 - x**4/24 - x**2. Is u(f) a prime number? True Is (-3)/(-7) - (-11628)/63 composite? True Suppose -10991 + 29031 = 5*d - 5*o, 0 = 2*d + 5*o - 7209. Is d a composite number? False Let y(q) = q**3 + 4*q**2 - 6*q + 5. Let t(k) = k**2 + 7*k + 1. Let c be t(-6). Is y(c) prime? False Suppose -118 = -4*d + 22. Is d a prime number? False Let a be (4 - 2) + 2 - 1. Suppose -3249 + 786 = -a*m. Is m a prime number? True Let g(r) = r**3 - 5*r**2 + 2*r + 7. Let f be g(5). Suppose 4*v + 1 = f. Suppose -4*s + v*z = -0*s - 320, 2*s = -2*z + 148. Is s composite? True Suppose 5*f = 3*f - 20. Let o be f/(1/((-3)/6)). Let v(d) = 17*d - 6. Is v(o) a prime number? True Suppose 0*r + 4*r = -t - 19, 2*r + 5*t = -23. Let u = 5 + r. Is 39 + 2*(-2 + u) composite? False Let t(g) = g**3 - 12*g**2 + 8*g - 16. Suppose -2*r = 3*r - 65. Is t(r) a prime number? True Let k(n) be the third derivative of -11*n**5/120 - n**4/12 - n**3/6 - 2*n**2. Let i(r) be the first derivative of k(r). Is i(-5) a prime number? True Let z be 19 + -1 + 3/(-1). Suppose -6*r = -r - z. Suppose -r*n = -8*n + 110. Is n composite? True Let s(p) = -p**3 - p**2 + p + 5. Let r be s(0). Suppose 5*z = w - 5*w + 21, -z + 21 = r*w. Is -1*-2*z + 5 a composite number? False Suppose -2*l + 7*l - 980 = 5*i, 0 = -5*l - 5*i + 1020. Suppose 4*k - 242 = -k - 3*g, -4*g = -4*k + l. Is k composite? True Let v = 2329 + -1483. Suppose 3*g + 0*g = -a + 644, -4*g = -5*a - v. Is g prime? False Let h(l) = 9*l**3 - 11*l**2 + 9*l - 2. Is h(7) a prime number? True Let o = -154 - -1469. Is o a prime number? False Suppose 3*u - 6890 = 3409. Is u a composite number? False Suppose -a = -4*q - 10 - 8, 5*a + 3*q + 2 = 0. Let b(v) = 3*v**3 - 2*v**3 - 2*v**2 + 3*v + 1 + 7*
{ "pile_set_name": "DM Mathematics" }
place. 162 Round 3555512 to the nearest one thousand. 3556000 Round -20888.7849 to the nearest ten. -20890 What is -79.204477 rounded to one decimal place? -79.2 Round 347.6707623 to 1 decimal place. 347.7 Round -0.0017030878 to seven decimal places. -0.0017031 What is 0.00001292141636 rounded to 7 dps? 0.0000129 What is -0.3175768071 rounded to 1 decimal place? -0.3 Round -647.58679 to one dp. -647.6 What is -16031.59016 rounded to 0 decimal places? -16032 Round 0.00143996 to four decimal places. 0.0014 Round 97.187853 to the nearest integer. 97 What is -0.00048528577 rounded to four decimal places? -0.0005 Round -0.59623718 to one dp. -0.6 What is -113997570 rounded to the nearest one million? -114000000 What is -0.604283329 rounded to two decimal places? -0.6 Round -827697788.1 to the nearest ten thousand. -827700000 Round 105324.60526 to the nearest 10000. 110000 What is 1263183.285 rounded to the nearest 10? 1263180 What is 0.00243562743 rounded to six decimal places? 0.002436 What is -2225948.54 rounded to the nearest 100? -2225900 What is -3316960450 rounded to the nearest one million? -3317000000 Round -23669.7018 to the nearest 10. -23670 Round -87016195 to the nearest 100000. -87000000 What is 84.189097 rounded to zero decimal places? 84 Round 0.00288714343 to 6 decimal places. 0.002887 What is -3583028.115 rounded to the nearest one hundred thousand? -3600000 What is -55372799.1 rounded to the nearest one million? -55000000 Round 0.00400986836 to five dps. 0.00401 What is 4443197.249 rounded to the nearest 100? 4443200 Round 0.0574226439 to 2 decimal places. 0.06 Round 0.000144418116 to seven decimal places. 0.0001444 Round -168937993 to the nearest 10000. -168940000 What is -33.192695 rounded to the nearest 10? -30 What is -114.2122249 rounded to 2 decimal places? -114.21 Round 0.000031143512 to 5 decimal places. 0.00003 Round 0.381556614 to three dps. 0.382 Round -829351860 to the nearest 100000. -829400000 What is 0.0000048472259 rounded to six dps? 0.000005 What is -3.9600445 rounded to the nearest integer? -4 What is 6.44131023 rounded to three decimal places? 6.441 What is 165440684 rounded to the nearest one million? 165000000 What is -0.0003268734524 rounded to five dps? -0.00033 Round 341.8776 to the nearest 100. 300 What is 2029474.766 rounded to the nearest one thousand? 2029000 What is -0.000028958238 rounded to seven decimal places? -0.000029 What is 4065.29745 rounded to the nearest 10? 4070 Round 0.00004296897613 to five decimal places. 0.00004 What is -9006321800 rounded to the nearest one million? -9006000000 Round -1942412.7441 to the nearest one hundred. -1942400 What is -15709.743 rounded to zero decimal places? -15710 Round -1574.838572 to 2 dps. -1574.84 What is -104965518.7 rounded to the nearest one hundred thousand? -105000000 Round -8756698 to the nearest ten thousand. -8760000 Round 1270.27253 to one dp. 1270.3 What is -1291911788.9 rounded to the nearest one million? -1292000000 What is -6635611620 rounded to the nearest 100000? -6635600000 Round -2558.492078 to 0 decimal places. -2558 Round -0.0689951572 to 4 dps. -0.069 What is 0.0210159662 rounded to 2 dps? 0.02 What is -2060532729.6 rounded to the nearest 1000000? -2061000000 What is -6915.320038 rounded to the nearest integer? -6915 What is -779239.6003 rounded to the nearest 100? -779200 Round -458176.56 to the nearest ten thousand. -460000 Round -869279.2 to the nearest 10000. -870000 Round 545519.476 to the nearest 10000. 550000 What is 0.03640401058 rounded to six dps? 0.036404 What is -687282740 rounded to the nearest 100000? -687300000 Round -10.08810977 to the nearest integer. -10 What is -13352832 rounded to the nearest one hundred thousand? -13400000 Round 0.0005787249354 to 4 decimal places. 0.0006 Round -554.996615 to 1 dp. -555 Round -0.041646909 to 2 decimal places. -0.04 Round 3100872.68 to the nearest one thousand. 3101000 Round 2.8608673 to one dp. 2.9 What is 0.00092232995 rounded to six decimal places? 0.000922 Round -500879610 to the nearest one million. -501000000 Round -8154529.28 to the nearest ten thousand. -8150000 What is 0.0000078128775 rounded to 7 decimal places? 0.0000078 What is 0.0404758992 rounded to 2 dps? 0.04 Round -0.07025585662 to five dps. -0.07026 What is -418986.79 rounded to the nearest ten thousand? -420000 What is -0.00000207344925 rounded to 7 dps? -0.0000021 What is -2775456.39 rounded to the nearest 10000? -2780000 Round -335371.99 to the nearest ten thousand. -340000 Round -0.000111857988 to five dps. -0.00011 What is -32944.5791 rounded to zero decimal places? -32945 Round -2.39240762 to 2 decimal places. -2.39 Round 139056.83 to the nearest 10000. 140000 What is 3576.541608 rounded to the nearest integer? 3577 What is 4677.200992 rounded to zero decimal places? 4677 Round -17898006180 to the nearest 1000000. -17898000000 What is 1815.87236 rounded to the nearest integer? 1816 What is 0.00000026052929 rounded to 7 decimal places? 0.0000003 Round 413424934 to the nearest 10000. 413420000 What is 5310544731 rounded to the nearest one million? 5311000000 What is 320897.41 rounded to the nearest 10000? 320000 Round -0.00064228195 to four dps. -0.0006 Round 1917411932 to the nearest one hundred thousand. 1917400000 What is 83456318 rounded to the nearest 1000000? 83000000 What is 0.68639456 rounded to four dps? 0.6864 Round 674962.691 to the nearest ten thousand. 670000 Round -0.2475046671 to 2 dps. -0.25 What is 2076.266908 rounded to one dp? 2076.3 Round 29638183.154 to the nearest 10000. 29640000 Round 82.8654376 to 3 dps. 82.865 What is -2185.75881 rounded to 0 decimal places? -2186 What is -86348.5425 rounded to 0 decimal places? -86349 Round 82.7703519 to the nearest integer. 83 Round -0.0041533553 to 2 decimal places. 0 What is 0.0010014868 rounded to 2 decimal places? 0 Round 0.0248392269 to two dps. 0.02 Round -394258910 to the nearest one million. -394000000 What is 958.316506 rounded to the nearest one hundred? 1000 Round 0.0000016729733 to 6 decimal places. 0.000002 What is -9699616.16 rounded to the nearest 100? -9699600 Round 1350.640986 to the nearest ten. 1350 Round -0.566267851 to 4 decimal places. -0.5663 What is -24.01499425 rounded to one dp? -24 What is -0.6263410864 rounded to one decimal place? -0.6 Round 251.391405 to two dps. 251.39 What is -0.00169112918 rounded to six decimal places? -0.001691 What is -0.00000300230079 rounded to seven decimal places? -0.000003 Round -0.000451655577 to five dps. -0.00045 What is -161.25868379 rounded to 3 dps? -161.259 Round 0.087729162 to four decimal places. 0.0877 What is 434705047.7 rounded to the nearest one hundred thousand? 434700000 Round 477.01828 to 1 dp. 477 Round 2.94543047 to 3 decimal places. 2.945 What is -275851632 rounded to the nearest one million? -276000000 Round 138910.878 to the nearest 100. 138900 What is 35836.77726 rounded to the nearest one thousand? 36000 Round 0.000000300504141 to 7 dps. 0.0000003 What is -533.732652 rounded to the nearest integer? -534 What is -0.016678127 rounded to six dps? -0.016678 Round -5897259.5 to the nearest 1000000. -6000000 Round 129328896 to the nearest one hundred thousand. 129300000 Round -110.4948133 to the nearest ten. -110 Round -1780847500 to the nearest one million. -1781000000 What is -1.24606913 rounded to three dps? -1.246 Round -0.00456077082 to 4 decimal places. -0.0046 Round -3743.3737 to the nearest 100. -3700 What is -14759770.4 rounded to the nearest one thousand? -14760000 Round 0.138073664 to 4 dps. 0.1381 Round 3.0091438 to one dp. 3 Round -731154.36 to the nearest 10000. -730000 What is -0.0000034493263 rounded to 6 dps? -0.000003 Round -0.0092017052 to 3 decimal places. -0.009 Round 0.11169 to one decimal place. 0.1 What is -1928447.853 rounded to the nearest one thousand? -1928000 Round 0.09926027648 to 6 dps. 0.09926 What is 18.013360109 rounded to the nearest integer? 18 What is -0.252906457 rounded to 2 dps? -0.25 What is 0.0000203015165 rounded to seven dps? 0.0000203 Round -26662027.5 to the nearest 1000000. -27000000 Round 0.001630878902 to six decimal places. 0.001631 Round -3509.0333 to 0 decimal places. -3509 What is -0.00430288714 rounded to five dps? -0.
{ "pile_set_name": "DM Mathematics" }
+ 61 for w. 9 Solve 77*a = 386*a + 4326 for a. -14 Solve -4431 = -1373*b + 3807 for b. 6 Solve 247*i - 195*i = 936 for i. 18 Solve -71*u = 16*u + 1131 for u. -13 Solve 40375 = 58*l + 40085 for l. 5 Solve -1471*b - 686*b = -71181 for b. 33 Solve 15243 = 55*z + 15903 for z. -12 Solve -320 = 417*r - 231*r - 206*r for r. 16 Solve -7*m - 20*m - 837 = 0 for m. -31 Solve 0 = -51*c + 159 - 6 for c. 3 Solve 241*u - 2802 - 3434 = 1235 for u. 31 Solve 324 = -684*i + 939 + 753 for i. 2 Solve -8*t - 51*t = 779 + 224 for t. -17 Solve 11 = -3*o + 27 - 13 for o. 1 Solve -21*i + 0*i = 866 - 908 for i. 2 Solve 187*x + 3731 + 2440 = 0 for x. -33 Solve 0 = 20*y + 139 - 279 for y. 7 Solve -52*h + 9603 = 84*h + 7699 for h. 14 Solve 74*m + 371 = 18*m - 189 for m. -10 Solve 4*n + 13038 = 13082 for n. 11 Solve -25*j - 262 = -37 for j. -9 Solve -1069*v - 274*v = -48348 for v. 36 Solve 5*t + 200*t = 2255 for t. 11 Solve 169 = 38*b + 891 for b. -19 Solve 72*k = -41*k + 30*k - 1577 for k. -19 Solve 47*w + 200 + 740 = 470 for w. -10 Solve -2 + 4 = 48*g + 2 for g. 0 Solve 663*a = 569*a - 752 for a. -8 Solve 16*v - 82 = 42 - 92 for v. 2 Solve 0 = 75*g - 8531 + 9431 for g. -12 Solve 4380 = 6*z + 18*z + 5196 for z. -34 Solve -163 = 242*y + 1531 for y. -7 Solve -63*j + 150 = 528 for j. -6 Solve -12*i = -10*i - 8 - 16 for i. 12 Solve -522*l + 128*l = -3940 for l. 10 Solve -14*q = 16*q + 115 - 25 for q. -3 Solve -91*i - 27756 = -29849 for i. 23 Solve -69*t = 208 - 493 + 2286 for t. -29 Solve -19*o + 4955 - 4708 = 0 for o. 13 Solve 170*n - 229*n + 472 = 0 for n. 8 Solve 1256*y - 1257*y = 33 for y. -33 Solve 221*v + 857 = -27 for v. -4 Solve 44 = 38*t - 10*t - 292 for t. 12 Solve 3*c + 2591 = 2549 for c. -14 Solve -57*y - 708 = -3*y + 5*y for y. -12 Solve -43 = -36*v + 12*v + 101 for v. 6 Solve 189*v - 35*v + 1694 = 0 for v. -11 Solve 16*a - 23*a + 245 = 28*a for a. 7 Solve -8 = 67*h - 21*h + 1050 for h. -23 Solve -26082 = 10*r - 26112 for r. 3 Solve -290*b + 306*b = 0 for b. 0 Solve -602*y + 32 = -606*y - 4 for y. -9 Solve -z - 100*z = 79 + 931 for z. -10 Solve 18*r + 96 = 26*r - 16*r for r. -12 Solve 114*i + 7173 - 10023 = 0 for i. 25 Solve -239 + 139 = -20*d for d. 5 Solve 128*v - 124 + 36 = 936 for v. 8 Solve 147279 - 146847 = -36*m for m. -12 Solve -163*p - 174 - 152 = 0 for p. -2 Solve 0 = -154*a - 333 - 167 - 886 for a. -9 Solve -438 = -117*c - 1257 for c. -7 Solve -42*n - 667 = 78*n - 187 for n. -4 Solve 1328*k = -31827 - 5357 for k. -28 Solve 1550 + 230 + 167 = 59*l for l. 33 Solve 0 = -18012*a + 17971*a + 1312 for a. 32 Solve -425*y - 259*y - 4368 - 3840 = 0 for y. -12 Solve 33*v - 2180 + 2279 = 0 for v. -3 Solve 17*w = 6*w - 33 for w. -3 Solve -31*r + 65*r + 2180 = -75*r for r. -20 Solve 39*z + 19 = -15*z - 35 for z. -1 Solve 737*s - 192*s - 15260 = 0 for s. 28 Solve 83*i + 2364 + 1542 = -103*i for i. -21 Solve -1095 + 416 = 137*b + 1102 for b. -13 Solve -4106*i + 4197*i - 2912 = 0 for i. 32 Solve -7*n = -13*n - 24 for n. -4 Solve -19*f - 53 + 243 = 0 for f. 10 Solve -10*q - 38 = -108 for q. 7 Solve -73*d - 637 = -53 for d. -8 Solve 11*b + 0*b + 42 = 4*b for b. -6 Solve 530*b = 581*b - 204 for b. 4 Solve -116 - 34 - 174 = 36*k for k. -9 Solve 0 + 0 = 28*w - 23*w for w. 0 Solve 1491*w - 306 = 1508*w for w. -18 Solve 14*c - 7*c = -20 + 13 for c. -1 Solve -25996*j - 216 = -26008*j for j. 18 Solve 13182*p - 13190*p - 128 = 0 for p. -16 Solve 410 - 647 = 69*g + 453 for g. -10 Solve -4*m = -40 + 85 - 25 for m. -5 Solve 1259 = -104*r + 7*r - 681 for r. -20 Solve -38*j - 3746 = -3784 for j. 1 Solve 6*i - 10 - 4 = 16 for i. 5 Solve 36*m + 94*m - 977 = -1757 for m. -6 Solve -19328 = 15*o - 19598 for o. 18 Solve -696*k + 373*k = 807*k - 1130 for k. 1 Solve -y + 36*y = 420 - 35 for y. 11 Solve 168 = -206*f + 580 for f. 2 Solve 51*f = 139 + 97 + 70 for f. 6 Solve -240*u + 125*u = -77*u + 798 for u. -21 Solve 436*m = -2651 - 9993 for m. -29 Solve 141 = 117*p + 226 - 787 for p. 6 Solve 45*u - 24 = 43*u for u. 12 Solve -76*c = -40*c + 42*c - 1794 for c. 23 Solve 62*v - 21 + 245 = 54*v for v. -28 Solve 0 = 480*v - 679*v + 3781 for v. 19 Solve -14*k - 3*k = 24*k - 533 for k. 13 Solve 423 = -44*w - 262 - 415 for w. -25 Solve 221*n = -104*n - 40 + 1015 for n. 3 Solve 0 = 395*r - 414*r + 133 for r. 7 Solve -23*s = -126 - 81 for s. 9 Solve -8*d + 1575 = -65*d - 48*d for d. -15 Solve -67*q - 630 = 45*q - 49*q for q. -10 Solve 0 = -641*q + 656*q + 225 for q. -15 Solve -17565 + 17469 = 32*o for o. -3 Solve 5*r + 6*r + 238 - 18 = 0 for r. -20 Solve 2612 = 175*u - 888 for u. 20 Solve 640 + 838 - 1667 = 27*z for z. -7 Solve -2781 - 627 = -213*z for z. 16 Solve 147892*k + 506 = 147915*k for k. 22 Solve 0 = 108*f - 313 + 205 for f. 1 Solve -61*i = -66*i + 10 for i. 2 Solve 0 = 5*c + c + 61 + 29 for c. -15 Solve 0 = -341*k + 440*k - 2871 for k. 29 Solve 425 = 37*w + 114 - 96 for w. 11 Solve -445*c - 9253 = 24*c + 18*c for c. -19 Solve -54937*j = -54882*j + 1045 for j. -19 Solve -12142 = -12*n - 12250 for n. -9 Solve 20698*o + 651 = 20605*o for o. -7 Solve -2*a + 1022*a - 38760 = 0 for a. 38 Solve 0 = -1304*f + 1353*f + 539 for f. -11 Solve -97 - 70 = 28*n + 29 for n. -7 Solve 568 = -112*f - 30*f for f. -4 Solve 32*h + 11*h - 126 = h for h. 3 Solve -297 = -338*q + 392 + 1001 for q. 5 Solve 431*q - 949 + 1301 = 3369 for q. 7 Solve -26282*j = -26310*j + 84 for j. 3 Solve -58*p = -69*p + 1 + 21 for p. 2 Solve 1 - 36 = 9*w - 17 for w. -2 Solve -700*h + 676*h = -192 for h. 8 Solve -45*u + 638 + 70 = -102 for u. 18 Solve 1896 = 368*a + 106*a for a. 4 Solve -221*h + 1547 + 884 = 0 for h. 11 Solve 29*w - 31*w - 5 = 3 for w. -4 Solve 4*i + 93 = 41 + 16 for i. -9 Solve -312 = -61*u + 536 - 1336 for u. -8 Solve 0 = -17*m + 116*m - 792 for m. 8 Solve 47*m - 98 - 7 - 130 = 0 for m. 5 Solve 0 = -3*s - 3*s - 8*s - 112 for s. -8 Solve 7 = 11*h - 8 + 26 for h. -1 Solve 0 = 258*z - 127*z - 104*z - 783 for z. 29 Solve 7785 = 29*k + 8423 for k. -22 Solve 32*r + 23 = 311 for r. 9 Solve 78*u - 161 = -772 + 143 for u. -6 Solve -9*m = 24*m for m. 0 Solve 0 = 194*m - 298 + 604 + 276 for m. -3 Solve 229*f - 340 = 246*f for f. -20 Solve -283*s + 294*s - 22 = 0 for s. 2 Solve -36483 = -134*w - 32463 for w. 30 Solve z - 2 + 17 = 27 for z. 12 Solve -249*v + 285*v + 36 = 0 for v. -1 Solve -178*v = 446*v + 1248 for v. -2 Solve r + r = -195 + 171 for r. -12 Solve -387*p - 441 = -240*p for p. -3 Solve 639 = 104*r + 535*r for r. 1 Solve -12*y = -853*y + 6728 for y. 8 Solve 30*n - 97 = -39*n - 166 for n. -1 Solve 0 = -11768*b + 11749*b - 57 for b. -3 Solve 548*p = -132*p - 4080 for p. -6 Solve 116 = -68*g - 1040 for g. -17 Solve 162 = 47*j + 162 for j. 0 Solve -16*j - 7 = 9 for j. -1 Solve 0 = -340*m - 6202 - 3998 for m. -30 Solve 17*x = -240*x - 100*x - 8211 for x. -23 Solve 97*i = 920 + 1 + 340 for i. 13 Solve 917 = 132*s - 49 - 882 for s. 14 Solve 88436*r - 88360*r = 0 for r. 0 Solve -13*t + 166 + 55 = 4*t for t. 13 Solve 233 - 240 = -c for c. 7 Solve 426 = 61*t + 52*t - 42*t for t. 6 Solve 0 = -73*i + 5*i + 136 for i. 2 Solve -4792 - 4528 = -233*h for h. 40 Solve -136*p - 138*p - 15352 = 534*p for p. -19 Solve 38 = -15*d + 290 - 12 for d. 16 Solve -34*k - 2766 = -272*k - 3956 for k. -5 Solve -192*q - 205*q = -410*q - 195 for q. -15 Solve 5431*j - 5339*j = 3128 for j. 34 Solve -9*w + 245*w = 236 for w. 1 Solve -27 = -65*k + 38 for k. 1 Solve -119239 = 14*w - 119029 for w. -15 Solve 624*c - 544*c = 880 for c. 11 Solve 195 - 6 = 89*l + 11 for l. 2 Solve -5*h + 459 = 16*h - 87 for h. 26 Solve -207*g - 434 = 10*g for g. -2 Solve -35*w - 211 + 106 = 0 for w. -3 Solve -881 = 255*c - 204 + 853 for c. -6 Solve 211*a - 65*a = -438 for a. -3 Solve 61*x = -10*x - 26*x for x. 0 Solve -973*a + 966*a - 49 = 0 for a. -7 Solve -1867 = 227*x - 51 for x. -8 Solve -260*y + 1090*y + 830 = 0 for y. -1 Solve -34*g = 819 + 1065 - 626 for g. -37 Solve 6*j = 121 + 101 - 168 for j. 9 Solve -8*w - 82*w + 532 = -14*w for w. 7 Solve 114*s = -471 + 129 for s. -3 Solve 154 = -672*w + 789 + 709 for w. 2 Solve 0 = 8*k - 11280 + 11160 for k. 15 Solve 114*z - 246*z + 924 = 0 for z. 7 Solve 0 = -160*d + 144*d + 64 for d. 4 Solve 2*b - 581 + 574 = b for b. 7 Solve 169*m - 2286 = 587 for m. 17 Solve 120*c + 254 = -1906 for c. -18 Solve 25*c + 15453 - 15753 = 0 for c.
{ "pile_set_name": "DM Mathematics" }
g g is positive. g**(-1062/1001) Simplify ((o/o**(-5))/o*(o/(o/((o/o**(2/35)*o)/o)*o))/o*(o/(o*o*o**8))**(-17))**(2/31) assuming o is positive. o**(10986/1085) Simplify (m**(4/11)*m*m/(m/(m/(m/(m**(3/2)*m))))*m**(-2/15)/((m**(-1/3)/m*m)/m))/((m**(1/2))**18)**(3/49) assuming m is positive. m**(24323/5390) Simplify ((b**0/b)/(b/(b*b**(-7)))*(b/b**(-3/5))/b**(2/3))/((b**(-2))**(15/4))**(8/7) assuming b is positive. b**(158/105) Simplify (y/(y/(y/(y**26/y)*y*y)))**(-2/13)*(y**26*y)**(23/4) assuming y is positive. y**(8249/52) Simplify n*n/(n/(n/(n*n**(-21)/n)))*n**(-5/4)/n*n**(-31)/n**(-16/9) assuming n is positive. n**(-305/36) Simplify ((x/(x**(-2)*x))/x)/((x/((x/x**(-2/11))/x))/x)*x**3/(x**(2/9)/x)*(x**(-4/7)*x**4)**33 assuming x is positive. x**(81845/693) Simplify (r**16/r*(r/(r*r/r**(1/10)))/r*(r**(-12)*r)**(1/28))**(-1/7) assuming r is positive. r**(-1779/980) Simplify ((i*(i**10/i)/i)/(i/(i**(-5/2)*i))*(i/i**4)/(i*i/(i/(i*i**(-2/41)*i))*i*i))**(-11) assuming i is positive. i**(1309/82) Simplify (z*z**(6/13))/z*z*z*z**(1/4)*z*((((z*z/z**4)/z)/z)/z)/z**(-3)*(z*z**(-1/3))/((z*z**(-4))/z)*z**(1/3)/((z**(-3/5)/z*z)/z) assuming z is positive. z**(2161/260) Simplify (s/(s*s**(2/23)*s*s*s)*s**(-5)*s**(1/2)*(s/((s**(-2/7)/s)/s))/s)/(s**1/(s*s**3))**(5/2) assuming s is positive. s**(354/161) Simplify (i**(-10)/i**7)/(i**(-5/6))**(1/46) assuming i is positive. i**(-4687/276) Simplify ((w/(w*w/(w*w**(-1/8)))*w/w**(2/5))/((w**0/w)/(w/w**(3/8))))/((w**8*w**(-2/7))/((w*w**(-6))/w**4)) assuming w is positive. w**(-1023/70) Simplify (f/f**(-2/5)*f**(4/7))**(-1/9)/((f**(-2/17)/f)/((f/f**(5/6))/f*f))**30 assuming f is positive. f**(68384/1785) Simplify (c**(2/59))**40/(c/c**48*c*c)**16 assuming c is positive. c**(42560/59) Simplify ((w*((w/(w/(w*w*w/w**4)))/w)/w)/(w*w**(9/8)))/(w**(19/5)/w**(1/16)) assuming w is positive. w**(-629/80) Simplify ((f*f**(-9/2)*f/(f*f**(-7/3)*f*f*f))/(f*f/f**(-3/14)*f**(4/5)))**(-1/59) assuming f is positive. f**(754/6195) Simplify (q**2/q**(-3))/(q**5/(q*q*q**3))*q/(q*q*((q*q**4)/q)/q)*q**(-3)*q*(q/q**3*q)/q**(1/3) assuming q is positive. q**(-7/3) Simplify ((y/y**6)**37/(y**(1/19)*(y/((y/y**(-5/12)*y)/y)*y)/y))**(-28) assuming y is positive. y**(294679/57) Simplify ((m**1*m*m**(2/11)*m)/(m*(m**(-2)*m)/m)**(-5/6))/(m**0*m*m*m*m**3*m*m)**(6/7) assuming m is positive. m**(-2083/462) Simplify (u*u**0)**(-2/39)*u*u/(u*u*u/((u/(u/u**(-4/9)))/u))*u*u*u*u/u**(-5)*u*u*(u**(-1/4)*(u*u**(-1))/u)**31 assuming u is positive. u**(-14155/468) Simplify (w**(-2/9)/(w**12/w)*(w**(6/11))**46)**37 assuming w is positive. w**(50801/99) Simplify (((f*f*f*f*f**(2/5)/f)**(-3)*f**(-1/4)/(f*(f**(-4)/f)/f*f))**(6/25))**(2/5) assuming f is positive. f**(-387/625) Simplify ((u*u/(u**(-7)*u))/u**1*((u*u/(u**(-3/4)/u)*u)/u)/u**(1/7))/(u*u*(u*u**(-5))/u*u**(-5)*u)**(-22) assuming u is positive. u**(-4015/28) Simplify r*r*r**(-39)*r*r*(r**(-1/46)/r)/r*r**(4/7)*r**(31/5) assuming r is positive. r**(-48703/1610) Simplify (((c*c**15*c*c)/c)**(-3/16)/(c**9)**(-4/5))**(10/9) assuming c is positive. c**(107/24) Simplify ((u**12/u)/u)**(-3/2)*((u*u**(-8/7))/u)/(u**(-1/6)*u) assuming u is positive. u**(-713/42) Simplify (h**(-1/2))**25*(h/(h/(h**(-2/7)*h))*h)/((h*h*h**(-2/19))/h)*(h**2/(h/h**(-1/3)))**(-15/8) assuming h is positive. h**(-6879/532) Simplify ((n**(2/5)/n)**19)**(-8)*(n*n/((n/(n**(2/5)*n*n))/n))**(-1/4)/(n*n**0*n**(-2/7)) assuming n is positive. n**(6257/70) Simplify (((k**0/k*k*k)**(-2/23)/((k*(k/(k*k**(1/4)))/k)/(k**(-1)/k)))**(4/21))**26 assuming k is positive. k**(-4394/483) Simplify ((u*(u**1/u)/u*u)/(((u**(-1)*u)/u)/u))**(-10/3)*(u/u**(-6/7))/u**(-3)*u**(-1/12)/u**(-1/2) assuming u is positive. u**(-397/84) Simplify ((s/(s*s**(1/2)))**(-4))**(-22)*s*s**2*s**(2/15)*((s**(-1/4)*s)/s)**26 assuming s is positive. s**(-1421/30) Simplify (q/(q**0/q)*q*q)**(-5/3)/((q/q**5)/(q*(((q/q**0*q)/q)/q)/q))*(q**(-3)*q**(1/3)*q)/(q**(1/2))**(-1/19) assuming q is positive. q**(-491/114) Simplify ((((g/(g*g**15))/g)/g*g**(-9))/((g/(g/((g/g**(3/2))/g)))/g)**48)**(-30/13) assuming g is positive. g**(-2820/13) Simplify (((p**(-4)*p)**35*(p/(p*p/(p/p**(-2/9))))**(-26))**(-1/45))**3 assuming p is positive. p**(997/135) Simplify (q**1/(q*q**(-2/5))*(q/q**(-8))/q**(-6))**(-18) assuming q is positive. q**(-1386/5) Simplify ((l*l/l**(2/67)*l)**26/(l/(l*(l/((l/l**0)/l*l*l))/l)*l*l**(-8)*l))**44 assuming l is positive. l**(239448/67) Simplify (f**42/(f*f**(-2/39))*f**(1/6)/(f*f*f**(2/9)))**(-6/11) assuming f is positive. f**(-9125/429) Simplify ((p*p*p**(-8/3)*p**(9/10))/(p*(p/p**(-2/13))/p*p*p*p*p)**(-23))**(47/3) assuming p is positive. p**(2177087/1170) Simplify (n*n**5*n*n**(1/5)*n)**(18/11)/((n**(-1/5)*n/n**(-2/7)*n*n)/(n**(2/7)*(n/(n*n*n/((n*n**(-6)*n*n)/n*n)*n))/n)) assuming n is positive. n**(199/55) Simplify ((b*b*b**(-7))/b*b*b**0/b)/(b/(b/b**(2/3)))**10*(b**(-3)*b**4/b)**(-1/63) assuming b is positive. b**(-38/3) Simplify ((((h*h**5/h)/(h**(-9)/h))**(-21))**(23/4))**(-44) assuming h is positive. h**79695 Simplify w/(w*w/w**(4/5)*w)*w**4*w**(-2/17)*w*w/(w*w*w*w*w*(w**(-4/9)/w)/w*w)*(w*w**(-2/9))**(-2/15)/(w**(1/5)/w**(-4/7)) assuming w is positive. w**(4043/16065) Simplify ((k**(7/5))**(-14/5)/((k**(-3/7)*k)/k**(-14)))**15 assuming k is positive. k**(-9708/35) Simplify i**43/i*(i*i**0)/i*(i*i/(i/((i*i**(-11/4))/i)))/(i**(-8)*i) assuming i is positive. i**(189/4) Simplify ((v**(-4/3)/v)/(v*v*v**5)*v/(v*v**8)*((v**(-3)/v)/v)/v)/((v**(-1)/v)**(3/8)/((v**(1/2)*v)/v**7)) assuming v is positive. v**(-337/12) Simplify (m*m/m**(-6)*m**5*(m**7)**28)**(-29/5) assuming m is positive. m**(-6061/5) Simplify (p*p**(-1/2)*p)/(p/(p**(-6)/p))*(p*p**(-2))/(p/(p*p/(p/p**(-2))))*(p/((p*p**0)/p)*p*p**(-4)*p)/(((p*p**(4/7))/p*p)/(p/p**2*p)) assuming p is positive. p**(-169/14) Simplify ((z*z*z**(-2))**(-37))**11/((z*z/z**1*z)**(-2/81)*(z*z/z**(3/2))/(z**(-5)/z*z)) assuming z is positive. z**(-883/162) Simplify (s**(-5/4)*s*s*s**6)**39*((s/(s/(s*s**(-2/9))))/s)**(-15/8)*(s*s*s**(-2/9))**(2/5) assuming s is positive. s**(11897/45) Simplify f**18/f**(-1/11)*f**(-2/27)/(f/(f*f**36)*f*f) assuming f is positive. f**(15449/297) Simplify ((n/n**1)/n**15*(((n*n**18/n)/n)/n)/(n*n*n**(-1/3)/n))**(4/19) assuming n is positive. n**(4/57) Simplify (p/p**(2/5))**(-32/5)*(p**(-2))**(1/11)*(p/(p/p**(-4))*(p/(p/p**(1/7)))/p*p)/(((p**0*p)/p)/p*p)**(42/11) assuming p is positive. p**(-15167/1925) Simplify ((((d**(-13/2)*d*d)/d)/d)/((d/(d/((d*d/(d**4/d))/d*d)))/d)*(d*(d/((d*(d*d**(-24))/d)/d))/d*d*d)/d**(2/29))**37 assuming d is positive. d**(48137/58) Simplify ((f**(3/4)/(f/((f/f**11*f)/f)))/((f**(-9/5)/f*f*f)/(f*f**(-2/35)*f*f)))**(-9/11) assuming f is positive. f**(8199/1540) Simplify ((((q*q/q**(1/2))/q*q)/q)**(-2/83)*(q*q/(q/q**(1/5)))/q*q*q*q/q**1*q*q)/((q**(1/4))**(-14/9)/((q**(-1/2)*q)/q)**(1/42)) assuming q is positive. q**(477401/104580) Simplify ((k**2/k)/(k**18/k)*(k**4/k)**(-1/9))**18 assuming k is positive. k**(-294) Simplify (((n/(n/n**(31/4)))/((n*(n*n**(-6))/n)/n))/(n**12)**(-6/11))**(-2/9) assuming n is positive. n**(-893/198) Simplify (u**(-1/5)/(u/(((u*u*u**2)/u)/u*u))*u**(-2)*u*u/(u*u**1*u))/((u*u**0*u)**(-3/8))**(-2/109) assuming u is positive. u**(-1323/1090) Simplify ((u*u**4*u)/u*u**(-16/9)/u)/(u**38/u*(u/(u**42*u))/u) assuming u is positive. u**(74/9) Simplify ((q*q**(-1))**(-25))**(-2/127)/((q/(q*(q*q**(1/4)*q*q)/q)*q)**(2/7))**(-1/74) assuming q is positive. q**(-5/1036) Simplify (u**31*u*u**(-2/9))/(u**(-39)*u**(25/2)*u*u) assuming u is positive. u**(1013/18) Simplify (((s**(-2/7)/s*s*s**(-2/9)*s)/(s**(-6)*s*s*s**(-5)*s))**(-38))**(-46) assuming s is positive. s**(935180/63) Simplify (x**(1/6)*x**11)**(3/2)*(x/(x/(x*x*x**(1/2)*x)))**(-40)*(x**(2/5))**(-11) assuming x is positive. x**(-2553/20) Simplify ((g**(4/3)/(g/(((g/g**(-15))/g)/g)))/(g**(-4)*g**(-2/21)))**0 assuming g is positive. 1 Simplify ((q/q**(-4/5))/q**27*(q**(-24)*q)/(q**(3/16)/q))**(-6) assuming q is positive. q**(11373/40) Simplify (((x*x**(1/4)*x)/x)/(x*x*x**(-1/4)))**38*x**(2/17)/x**(2/5)*(x**(-4)/x)/x**2 assuming x is positive. x**(-2234/85) Simplify ((m**(-1))**(-2/33)/(m**5*m**(5/3)))/((m**(2/7))**(2/27))**(-12) assuming m is positive. m**(-4402/693) Simplify (i**4/(i/i**(-5/2)))/((i*i**(2/15))/(i*i*(i**7
{ "pile_set_name": "DM Mathematics" }
35))? -14 Calculate (10608/35100 - 2/9)/(2/5). 1/5 ((143/11 + -16)*(-3)/(-2))/3 -3/2 Calculate (640/(-20) - -20)/50. -6/25 (98/(-420)*-5)/((-10)/15) -7/4 Calculate ((-108)/99)/(-12) - 1075/2750. -3/10 What is ((-4)/(-50))/((-6)/(-15)*5/(-10))? -2/5 -2*9/39*(6 + 65/(-10)) 3/13 What is (-84294)/257985 - 2/(-105)? -4/13 What is (224/1092)/(12/9) + (-141)/(-13)? 11 Evaluate 46/(21 - -2) - 17. -15 Evaluate (-3725)/2980 + 226/8*1. 27 What is ((10/(-1300))/(6/24))/((-1)/5)? 2/13 What is 10*8/32 + -2 - (-13)/(-2)? -6 10 + (4/(-3))/((-56)/672) 26 ((2/25)/((-52)/130))/((-4)/10) 1/2 18 + ((-6)/4)/((-11)/(-66)) 9 What is the value of (76/(-20))/1*(7 + -37 + 31)? -19/5 What is ((-132)/40 + 4)*139/(-973)? -1/10 What is 2 - 5 - (-6)/(-3)*(-150)/(-60)? -8 Evaluate 997/(-312) + (-654)/(-4251) - 6/(-16). -8/3 (-2)/9*(-180)/24 + 400/(-105) -15/7 (-4)/(-2) + 15/75*48/(-4) -2/5 What is 13149/(-378) + 315/9? 3/14 What is 2771/255 - 11 - 4/6? -4/5 What is the value of (5472/540 - 10)*((-20)/(-84))/1? 2/63 Evaluate (-2835)/(-504) - (0 + (-6)/16). 6 What is 2 - 0 - 1040/104? -8 What is (-2164)/(-7574) + 18/(-14)? -1 (((-4)/8)/(-1))/(8/144) 9 What is the value of (27/(-81)*(-6)/(-10))/(27/90)? -2/3 What is (2 - (5 - 6)) + 2 + (-3 - 0)? 2 Calculate 260/8060 - 38/217. -1/7 What is the value of 4/(-8)*(6240/(-24))/(-10)? -13 Calculate 18/(-288)*-8 - (5 + -2)/3. -1/2 What is the value of 23 - (-5040)/(-150) - -11? 2/5 Calculate ((-9)/(-22))/((-2241)/(-1494)). 3/11 Calculate (-414)/1380 - (-9)/(-10). -6/5 Calculate 7 - 10/(-4)*260/(-100). 1/2 What is the value of 0 + (-217)/49 + (-8)/14 + -6? -11 Calculate (((-36)/5)/18)/((-48)/40). 1/3 What is 16497/5076 + (-2)/8? 3 What is ((18/45)/((-16)/25))/(43/172)? -5/2 Evaluate (-6)/8 - 742/(-2120). -2/5 (-14 - ((-5265)/(-26))/(-15))/((-2)/20) 5 What is 1032/174 + (20 - 11 - 15)? -2/29 What is the value of 25/10*476/(-170) - 4/(-4)? -6 What is 3*256/(-168) - ((-152)/(-28) + -6)? -4 Calculate (108/(-24) - -8)/((-1071)/(-36)). 2/17 What is the value of 80/28 + -3 - (2 - 2)/30? -1/7 -24 + (-5304)/(-507) + 14 6/13 20 + (2 - -6) - 21 7 What is the value of (-2)/1*((-6118)/(-1140) - 12/(-90))? -11 Evaluate (-2 - -14) + -1 + -4. 7 Evaluate 781/(-132) - (-1)/2*12. 1/12 -5*(-136)/(-1260) + (3 - 90/35) -1/9 Calculate (-58)/116*8/10 - 3. -17/5 Evaluate (-12)/16*-2*31/(-372). -1/8 Evaluate (-428)/60 - (-2 + 3)*-7. -2/15 Evaluate 45*8/(-140)*-7. 18 What is (0 + (-25)/15)/(-1 - 7/(-6))? -10 What is the value of (-5)/42 - (-66)/231? 1/6 What is the value of 26/156 - (-10)/(-4)? -7/3 What is 124/5 + (406/(-70))/(-29)? 25 What is the value of ((-3)/(-9))/(113/(-5085))? -15 24/40*(-155)/186 -1/2 What is 9/(-1)*(39/(-36) + 1)? 3/4 What is (36/(-20) - 1)*24/((-816)/(-85))? -7 (-30)/16 + 2 - 1967/(-20232) 2/9 Evaluate (-65 - -89) + (-276)/11. -12/11 Calculate (85800/(-420))/26 + (-6)/(-7). -7 Calculate 29 + (-11200)/832 - 2*8. -6/13 What is 3/(-70) + (-20)/(-140)? 1/10 What is 780/(-104)*(-56)/30? 14 What is (-2)/41*7/(-21)*(3 - 6)? -2/41 Calculate (-3745)/(-105) + -36 + 11 + -3 + 1. 26/3 What is the value of (-504)/784*-40 - (-4)/14? 26 What is the value of ((-60)/9)/((-16)/(-56) - (-8)/21)? -10 Evaluate 3*(-20 - 5052/(-252)). 1/7 Evaluate (2088/240)/29 - (2 + (-108)/40). 1 What is (4144/(-448) - 1*8)/(12/(-16))? 23 What is -16*(-30)/(-40) + 13? 1 Calculate (28*(-8)/(-672))/((-3)/(-171)). 19 (26 - 20) + 17 - 39 -16 What is the value of ((-611)/52 + 12)/((-39)/(-36))? 3/13 What is the value of (-7 - -5) + (9 - (-17 + 8))? 16 (6/(-20))/((-10)/(-200)) -6 What is 1/3*3/(-45)*-9? 1/5 Evaluate (153/36 - 1/4)*18/12. 6 -2165*15/1800 - 2/(-48) -18 Evaluate (37 + 7640/(-200))/(2/20*1). -12 What is the value of 15/(-6 - 34/(-136)*(-82)/(-3))? 18 -21 + -101*18/(-90) -4/5 What is (-20)/(-150)*(-3 + 15)? 8/5 Calculate ((-8)/2 - 2) + -28 + 23 + 1. -10 Evaluate 6/21 + 681/(-252) + (-12)/48. -8/3 (-207)/54*5 - ((-510)/(-36))/17 -20 Evaluate (-429)/43 - (-3 + 1)/((-71)/(-355)). 1/43 Calculate 15 + -17 - (-198)/108. -1/6 What is (-5)/((-19)/(228/10))? 6 Calculate 41520/(-630) + 66 - (-1264)/(-42). -30 Evaluate (-86)/8 - 8/(17 - -15). -11 (320/(-350) - (-2)/10) + 1 + -1 -5/7 Evaluate (1 + -7)*1/(-15)*25/60. 1/6 Evaluate ((-279)/4092)/(553/280 - 2). 30/11 What is -7 + 21/(-63)*(-84)/(-4)? -14 (1 - (-49)/(-21))*(-45)/(-30) -2 Evaluate (-30)/(-8)*28/(-504)*-48. 10 (10/(-90)*6)/(((-2)/(-12))/(-1)) 4 What is 12*1166/1848 + (-6 - 2)? -3/7 Evaluate (80/(-30))/((-93)/(-9) - 10). -8 What is the value of (-3)/(-2)*(18 + 552/(-28))? -18/7 (20/70 - (-488)/(-56)) + 9 4/7 249/1411*7/140*85 3/4 Evaluate (16040/700 + -23)/(1*(-6)/4). 2/35 Calculate (-346)/(-2)*1/9 + 538/(-2421). 19 Calculate (329 + -308)*((-12)/42 + 22/(-21)). -28 What is the value of 1836/5780 + (-7)/35? 2/17 What is the value of (-30 - 53846/(-1833)) + 2/3? 2/47 What is the value of 1/(-1) + ((-11)/4)/((-476)/112)? -6/17 What is (10 - 18)/(-3*(-10)/135*3)? -12 (5/(-10))/((-2)/4)*(-33 + 25) -8 Evaluate (-4 - 4)/((-3)/(-4)*10/(-15)). 16 Evaluate (-7)/924*-1068 + (-1)/11. 8 What is (((-10)/15)/((-1)/(-3)))/((-1349)/18886)? 28 Calculate (-493)/58 - (-8 + (-17)/(-2)). -9 ((-17)/306 + (-12)/27)*-4 2 What is the value of (60/24 - 10)/(-1*(-20)/(-48))? 18 What is the value of 51/(-12)*16/4? -17 What is 309/(-5871) - 4/(-38)? 1/19 Calculate (84/24 - 16)*4/5. -10 1032/260 + 3 + (-1708)/244 -2/65 Calculate 0 + 9 - (37232/320)/13. 1/20 Evaluate (60/63 - 1)/((1716/910)/(-33)). 5/6 Evaluate (-812)/(-22330)*((-2)/(-4) - 3). -1/11 Evaluate (-13 - 9) + (108 - 108). -22 94/14 - (-116)/406 7 What is the value of ((-2)/(-8))/((353/2471)/((-1)/(-7)))? 1/4 What is the value of -6 + 2 - (12 - 81/6)? -5/2 Calculate (325/(-39) - -8)/((7/15)/7). -5 Evaluate (-3)/(-2)*12/9. 2 Calculate ((7/(-70))/((-6)/96))/((-12)/(-10)). 4/3 What is ((-280)/(-15))/(25/((-600)/16))? -28 Evaluate (-256)/1900 + 426/1775. 2/19 Calculate (10/14 + (-16029)/4095)*(-5 - 0). 16 Evaluate 13/(897/(-2)) + (-2086)/(-5313). 4/11 Calculate (70 + 1606/(-22))*((-11)/(-12))/1. -11/4 (11/(-3))/(77/231) -11 10 + 16/((-896)/518) 3/4 Calculate (-492)/205 - 1*((-8)/(-2))/(-4). -7/5 (-2226)/630 - (1 - 0)/(-3) - -4 4/5 What is the value of (-23 + (2 - -19))*-9? 18 Calculate (-240)/825 + 14/154. -1/5 What is the value of ((-37)/(-5) - (-4)/(-10)) + (-51220)/7280? -1/28 Evaluate (21/(-35))/((-108)/(-1620)). -9 Calculate 10*(-8)/10*(-75)/50. 12 Evaluate -18 + 10734/567 + (-24)/28. 2/27 (15/2 - 8)/((-9)/72) 4 What is -11 + 2245/1435*7? -2/41 (3 + (-493)/153)*2 -4/9 Evaluate -4 + 231/(-132) + 2 + 92/16. 2 What is the value of -16 + 14 + (-4)/((-52)/(-39))? -5 What is (624/64)/(4 + 78/(-24))? 13 What is (-12)/((60/(-8))/(-5))*1? -8 What is (-24)/72*((0 - -1) + 2)? -1 Evaluate (2772/(-54))/(-14) - 527/102. -3/2 What is (175/(-4600)*6/(-7))/(6/16)? 2/23 Calculate 1241/595 - 2/(-10) - (-8 - -10). 2/7 What is the value of (-20)/48*(-84)/280? 1/8 Evaluate (-24 - 11)*(-8)/(-20) - -3. -11 What is (8 - 2)*((-2)/(-8) - (-159)/(-684))? 2/19 -1*3 + ((-1)/9 - (-17458)/5481) 2/27 Evaluate (-9)/15*5 + 292/100. -2/25 Evaluate (-60)/25 - (0 - (-15)/(-5))*1. 3/5 Evaluate -8 + -20 + 18 + (0 - -24). 14 Evaluate (10/4)/((-3850)/1232). -4/5 What is (-14)/(-2) - 19/(247/442)? -27 What is ((-40)/(-240) + 76/(-168))*-28? 8 32/(-40) + (-39)/130*(-6)/9 -3/5 What is the value of (-66)/28 + -1 + 26/14? -3/2 (30 + -28)*(6/3)/((-1)/2) -8 What is the value of (182/(-49))/(346/(-1211))? 13 What is -21 + (57 - 24)/1? 12 Evaluate (-1880)/(-80) + -27 + 6. 5/2 What is the value of -2*(-3)/(-2)*(-10 + (-84)/(-12))? 9 What is the value of (-1005)/(-75) - (4 + -2)*7? -3/5 What is (14/21)/(20/(-45)*-6)? 1/4 What is ((-18)/(-21))/(-1)*(3692/78 + -38)? -8 What is the value of 27/(-6)*156/(-3159)? 2/9 (-5)/(-15) - ((-7)/(-21))/1 0 What is 1/(-7)*-16 + (-18 - 4 - -20)? 2/7 14/(-4)*((-1076)/798 + 52/39) 1/19 Evaluate (5076/(-240) + 21)*(-10)/18. 1/12 Calculate ((-1)/(-7))/((520/(-26))/40). -2/7 What is (-1)/2*4/(-14) + 14477/(-9807)? -4/3 What is (1 + (-88)/40)/(60/400)? -8 Evaluate -63*235/1316*(-12)/5. 27 What is the value of ((-3250)/(-600))/(-1*(-35)/21)? 13/4 What is (6/(-14))/((-112)/(-784))? -3 Calculate (-370 + 372)*(2 + -13). -22 1*5*(-4)/10*1323/294 -9 Evaluate 912/760*-2*(-10)/4 - 0. 6 What is -7 + 15 + (-3)/(984/2632)?
{ "pile_set_name": "DM Mathematics" }
se -y = -2*y + i. Is y a multiple of 13? False Let x be 20 + -4 - (2 - 3). Let z = -13 + x. Is z even? True Does 9 divide 191/9 + 2/(-9)? False Suppose -3*i = -i - 354. Is i a multiple of 14? False Let m(o) = -o**2 + 8*o + 8. Let g be m(10). Let k be (-1 - 0)*-2 + -22. Let c = g - k. Does 3 divide c? False Is 26/(((-15)/(-20))/((-6)/(-4))) a multiple of 4? True Suppose b + 3 = -2*b, -1 = 5*r + b. Suppose -j + 2*c + 11 + 4 = r, -3*j + 45 = -3*c. Is 5 a factor of j? True Let u be (16/3)/(4/6). Let z(c) = 6*c - 2. Is z(u) a multiple of 12? False Let j(d) = d + 10. Let u be j(-8). Is 20 a factor of u/3*(-261)/(-6)? False Let h(p) = p**3 + 9*p**2 - p - 6. Let v be h(-9). Suppose -v*m = -89 - 49. Does 23 divide m? True Let q = 21 - 81. Let o = q - -102. Does 21 divide o? True Suppose -3*q - q - 2 = -2*x, -27 = -q - 5*x. Suppose -2*s - 3*c = -15, -9 + 1 = -q*s + 4*c. Suppose -2*v + s*v = 3*f + 75, 3*v - 52 = -2*f. Does 10 divide v? False Let g(o) = 4*o**3 - o**2 + 1. Let q be g(1). Suppose -32 = 4*u + 5*z, -u - 2*z - 8 = -q*z. Let w = u - -24. Is w a multiple of 6? False Suppose 2*v + 6*b = b - 13, -b = 3*v - 13. Suppose -4*n = -22 + v. Suppose -4*i + 0*i = -5*h + 71, n*h - 55 = 5*i. Is h a multiple of 6? False Let v = -261 + 417. Is 26 a factor of v? True Let m(x) be the second derivative of -x**5/20 + x**4/2 - x**3/3 + 7*x**2/2 - 2*x. Is 19 a factor of m(5)? False Let i(k) be the first derivative of -k**4/4 - k**3/3 + k**2/2 + 3*k - 3. Let w be i(0). Suppose -115 = -3*u + 5*t, 2*t = w*u - 0*u - 109. Is 12 a factor of u? False Let p(h) = -5*h**2 - 5*h - 12. Let g(c) = -2*c**2 - 2*c - 6. Let i(t) = -7*g(t) + 3*p(t). Let n be i(0). Suppose f - n - 23 = 0. Is 14 a factor of f? False Suppose 2*u = -u + 2*m + 23, -3*u + m + 19 = 0. Suppose 319 = 3*j - 4*b, u*j - j + 2*b = 418. Does 35 divide j? True Let x = -17 - -22. Suppose y + x*q - 2*q = -3, 2*q = -8. Is 5 a factor of y? False Suppose 3*y + 8 = 7*y. Suppose 0*o - 72 = -y*o. Is o a multiple of 12? True Let j = -52 - -88. Let t = -25 + j. Does 3 divide t? False Suppose -5*k + 2*g + 58 = -0*k, -4*k - 2*g = -32. Let m = k + 1. Is m a multiple of 4? False Let v(j) = j**2 + 3*j - 3. Let d be v(-5). Suppose a - 25 = -d. Suppose 0 = 3*q + 3*y - a, -q + 15 = q + 5*y. Is 2 a factor of q? False Suppose -5 - 1 = -3*x. Suppose -49 = -x*b - y, -3*y - y - 116 = -5*b. Does 16 divide b? False Let y be ((-99)/(-4))/(3/12). Suppose -y = -5*p - n - 9, -p + 24 = -n. Let f = p + -6. Is 11 a factor of f? False Let z(n) = -n**2 + 5*n + 2. Let h be z(5). Suppose -2*t + 4*c = -16, -4*t - 8 = -h*t + 2*c. Suppose t = 5*d - 37 + 7. Does 6 divide d? True Let o(d) = -14*d + 1. Let u be o(1). Let g(j) = -6*j - 26. Is 11 a factor of g(u)? False Let i = -7 - -23. Let l = i + -9. Let x(t) = t**2 - 4*t + 3. Does 12 divide x(l)? True Suppose -j = -5*i + 199, 2*i + 0*j + 3*j - 83 = 0. Does 20 divide i? True Let z = -49 - -76. Is 9 a factor of z? True Suppose -v = -7*v + 408. Does 10 divide v? False Let r = 270 - 186. Suppose 55 = 2*s - 3*y, -4*y - r = -s - 2*s. Does 14 divide s? False Suppose 3*d - 109 = -4*v, d - 2 = 1. Is 23 a factor of v? False Let l(u) = -u**2 - 4*u + 1. Let z be l(-4). Suppose -z - 5 = -n. Does 6 divide n? True Is 31 a factor of ((-708)/(-15) + -2)*40/16? False Let k(v) be the first derivative of 2*v**3/3 - 6*v**2 - 2. Is k(8) a multiple of 18? False Let l be (-7)/((-7)/(-3)) + 1. Let w = 13 + l. Does 4 divide w? False Let i = 191 + -96. Does 19 divide i? True Let n(p) = p - 6. Let f be n(10). Suppose -71 = -g - f*x, -x + 197 = 3*g - 38. Suppose -4*a + g = 27. Is a a multiple of 7? False Is 2 a factor of (-15 - -16) + 5*1? True Let v(g) = 4 - 3 + 13 - 3*g + 0. Is v(-13) a multiple of 25? False Let v(i) = -i**2 + 6*i - 3. Let r be v(5). Suppose m - r*m = -44. Is m a multiple of 22? True Let c(x) = x**3 - 7*x**2 - x - 3. Let r(p) = 26*p**2 - 11*p**2 - 3*p**3 + 7 + p + 0*p. Let a(z) = 7*c(z) + 3*r(z). Is a(-3) a multiple of 12? False Let c be 3/9 - 1617/(-9). Let b be c/8 - 1/2. Suppose -p = -b + 6. Is p a multiple of 11? False Let w(t) = 2*t**2 + 7*t**2 + 6 + 7*t - 4*t**2 + t**3 + 4*t**2. Is 14 a factor of w(-8)? True Suppose -s - 24 = -5*s. Does 22 divide 218/s + (-2)/6? False Suppose 5 = -3*t + 2. Is 8 a factor of (6/2 - -14) + t? True Let o be (4 + 0 - 2)/(-1). Does 9 divide (-7 + -2)/(-3 - o)? True Suppose -2*p = -a + 8, 3*a + 0*p = -p + 3. Suppose a + 2 = 4*v - t, v + 5*t - 22 = 0. Suppose 0*n - 217 = -4*n + 3*s, 0 = 4*n - v*s - 218. Is 19 a factor of n? False Let z(v) = -7*v**3 - 4*v**2 - v + 2. Suppose 4*m + 7 = -m + w, -2*w - 6 = 0. Does 20 divide z(m)? False Let b(m) = m**2 + 6*m + 6. Let c be b(-8). Suppose 0 = 5*t - c - 118. Suppose t - 4 = 3*h. Is 4 a factor of h? True Suppose -4 = 2*o, -5*q + 3*o + 94 = -3*q. Let a = -20 + q. Is 6 a factor of a? True Let f(v) = -59*v - 34. Does 13 divide f(-4)? False Suppose 4*p = -2*y - 3*y + 187, -4*y + 2*p = -134. Is y a multiple of 7? True Let w be -22 - (3 - (-5)/(-1)). Let z be (-1)/5 - 44/w. Is 21 - (-3 + 2 + z) a multiple of 11? False Suppose -5*o + 4*r = -80, 3*r = o - 0*r - 27. Let a be -2*(39/6 + -2). Let u = a + o. Does 3 divide u? True Let i = 7 + -3. Let w(h) = h**3 - 4*h**2 + h + 1. Let k be w(i). Let b = k + 5. Does 10 divide b? True Let r = 1 + -2. Let t be r + (-16 - -1)*-2. Suppose -k = -3*m + m - 17, -m + t = k. Does 15 divide k? False Let v be (-1140)/42 + (-2)/(-14). Let m = v - -51. Is 14 a factor of m? False Suppose -2*a + 20 = -26. Suppose -2*v = v - 129. Let w = v - a. Is w a multiple of 10? True Does 3 divide (-16)/6*(-30)/8? False Let l be (60/2)/((-4)/4). Is 6 a factor of ((-4)/(-10))/((-1)/l)? True Suppose -4*w - 3 = -11. Suppose 0 = w*p - 3*j - 101 - 3, -j - 51 = -p. Does 13 divide p? False Suppose -2*q + 9 = -1. Does 2 divide q? False Suppose 2*m - 3*d = -2*m + 129, 3*m - 102 = 4*d. Is m a multiple of 5? True Suppose -y + 0*y = -27. Suppose 3*t = 126 + y. Does 19 divide t? False Suppose -4*c = -134 - 58. Is 8 a factor of c? True Let q = 30 - 11. Let b(r) = -r + 29. Is 10 a factor of b(q)? True Does 5 divide -3*12/45*(-1 - 24)? True Let n(x) = -2*x + 2. Let y = -7 - -5. Is n(y) a multiple of 5? False Suppose -3*i = -5*z + 13, 3*i - 3*z = z - 8. Suppose i*w - 3*w = 60. Let r = w - 42. Is r a multiple of 9? True Is 8 a factor of (0 - (-2 - -1))*16? True Does 27 divide 4*3/(-3)*117/(-3)? False Is 101 + ((-16)/4)/4 a multiple of 17? False Let b(k) = 3*k**3 + 4*k**2 + 3*k + 1. Let u be b(-2). Does 10 divide 3 - (3 - -3) - u? True Let r = 123 + -31. Is r a multiple of 55? False Let t(b) = -b**3 - 5*b**2 + 7*b + 8. Let w be t(-6). Suppose -3*a + 17 = 4*v + 2*a, 5*a - 29 = w*v. Let u = v - -12. Is u a multiple of 10? True Suppose 6*m = 2*m + 440. Is 7 a factor of m? False Let m(z) be the first derivative of z**2/2 + z + 3. Let t be m(3). Is (2 + 6)*5/t a multiple of 4? False Let u(n) = -6*n + 1. Let o be u(-1). Let y be ((-20)/(-35))/(2/o). Suppose 130 = -y*q + 7*q. Does 13 divide q? True Suppose 5*r - 4 = 2*s - 57, 25 = -5*r. Let z = 29 - s. Suppose -6 = -2*c - 5*w + 25, -z = -5*w. Does 8 divide c? True Let g = 28 - 12. Does 3 divide g? False Let k(h) = -10*h**3 - h**2 + 1. Let r be k(-1). Let b = -6 + r. Suppose -b*q = -q - 93. Does 15 divide q? False Let m be 1*(-1 + 7 + -1). Let y = 9 - m. Suppose 120 = y*l + l. Does 10 divide l? False Suppose -45 - 36 = -3*b. Does 9 divide b? True Let y be (15/6 + -3)*-134. Suppose -20 = 3*r - 2*w - y, 10 = 2*w. Does 9 divide r? False Let p(m) = -m + 2. Is p(-1) even? False Let z be ((-12)/(-10))/(6/260). Suppose 0 = -2*g - 4*b + 22, 4*g + 4*b + 0*b = z. Does 6 divide g? False Suppose 5*k = -4*m - 51, 11 = 2*k + m + 29. Let n = k - -11. Suppose -n*d + 0*d = -112. Is d a multiple of 15? False Let d(a) = -a**3 + a + 27. Does 9 divide d(0)? True Suppose -6*g + 10*g - 104 = 0. Is 13 a factor of g? True Suppose 5*o = 9*o - 68. Let c = 22 + o. Is 16 a factor of c? False Let d(b) = b + 8. Let n be d(-6). Suppose 0 = -n*c + 26 - 6. Is 3 a factor of c? False Suppose -5*o - 43 = -8. Is (22/(-4))/(o/14) a multiple of 11? True Let l = 81 + -155. Let o = -51 - l. Does 23 divide o? True Suppose -y - 10 + 26 = 0. Suppose y = -3*c - c. Let i = c - -11. Does 4 divide i? False Is (270/(-24))/((-3)/8) a multiple of 13? False
{ "pile_set_name": "DM Mathematics" }
d. What is the units digit of l? 2 Suppose 30 = 5*j - 0. Let t(y) = y**2 - 2*y - 6. What is the units digit of t(j)? 8 Let v(z) = -3*z - 1. Let d be v(-2). Let p = -1 + 24. Suppose -p + d = -3*s. What is the units digit of s? 6 Let m(n) = n**3 - 4*n**2 + n - 1. Let b be m(3). Let l = 12 + b. Suppose 2*q + 12 = -l*d, 6*q + 4*d = 3*q - 4. What is the units digit of q? 4 Suppose -3*m + 114 = -0*m. What is the units digit of m? 8 Suppose -7 - 3 = -3*s - 4*z, -5*s + 3*z + 7 = 0. Suppose 20 = -s*o + 7*o. Suppose -n - 13 = -o*a, -3*a - 2*a - n + 14 = 0. What is the units digit of a? 3 Let m(i) = 4*i - 4*i + 1 + 4*i - i**2. Let j be -1 + 0 + (3 - 0). What is the units digit of m(j)? 5 Let y = -3 + 3. Suppose -h + 4 + 0 = y. What is the units digit of h? 4 Let n = -6 + 11. Suppose 0 = -n*g + 9 + 31. What is the units digit of g? 8 What is the units digit of 96/(-40)*40/(-3)? 2 Suppose 3*i = 3 + 6. Suppose 0 = -4*t + i*v + 27, 0 = 4*t + 6*v - 3*v + 3. Suppose 0 = -t*h - 0 + 6. What is the units digit of h? 2 Suppose 0*o + 5*o + j - 1 = 0, 0 = -2*o + 2*j - 2. Suppose 2*r + 0*r - 50 = o. What is the units digit of r? 5 Let z = 4 + -4. What is the tens digit of (-3 - z)*10/(-3)? 1 Suppose -3*p + 10*o - 5*o + 82 = 0, p - 30 = 3*o. What is the units digit of p? 4 Let b(p) = 2*p - 22. What is the units digit of b(15)? 8 Let c = -19 - -30. What is the tens digit of c? 1 Let q(w) = -w**3 - 7*w**2 - 3*w - 10. Let z be q(-7). Let k = z - 7. Suppose -g - 3 + k = 0. What is the units digit of g? 1 Let u(x) = -2*x**2 - 26*x - 13. What is the units digit of u(-11)? 1 Suppose 0 = 4*w + r - 529, 0 = -5*w + r - 5*r + 664. What is the units digit of w? 2 Suppose 1 = -2*s + 3. What is the units digit of s? 1 Let p be -1 + (12 - (1 + -2)). Suppose 5*y = -p + 47. What is the units digit of y? 7 Suppose 2*o - 4*h = o + 34, 2*o + 4*h = 68. What is the units digit of o? 4 Let h = -4 - -4. Suppose 0 = 2*j - 7*j + x + 66, h = -2*x + 8. Let r = j + 5. What is the units digit of r? 9 Let r(i) = -2*i - 6. What is the tens digit of r(-22)? 3 Let l = 43 + -25. What is the tens digit of l? 1 Let l(q) = -q + 1. Let v be l(1). Suppose x + u + v*u - 9 = 0, -33 = -5*x - 2*u. Suppose -3*k + 10 = i, 0*k - x*k + 22 = -i. What is the units digit of k? 4 Let t be (-31)/(-1) + 0 + 1. Suppose t = 2*n - 2*c, 0 = -6*n + 3*n + 4*c + 50. Let u = n - 5. What is the units digit of u? 9 Let w = -63 + 88. What is the tens digit of w? 2 Let z be (-2)/2 - 16/2. Let o(j) = j**3 + 10*j**2 + 8*j - 7. Let w be o(z). What is the units digit of 8 + w/(1 + -2)? 6 Suppose 4*p - 319 = -3*a - 82, -4*a = 3*p - 169. What is the units digit of p? 3 Suppose -2*z = l - 159, 4*l - 618 = 4*z - 3*z. What is the hundreds digit of l? 1 Suppose -3*j = 2*j - 710. What is the tens digit of j? 4 Let z(d) = -2*d**3 + 5*d**2 - 9*d - 7. What is the tens digit of z(-3)? 1 Suppose -4*p = -6*p - 5*y + 407, -2*p - 2*y = -404. What is the units digit of p? 1 Let c be -7 + 13 - 3/1. Suppose 4*f - c*f - 11 = 0. What is the units digit of f? 1 Let f = 8 - 5. Suppose 6 = 5*s + f*d, 3*d - 8 = -3*s - d. What is the units digit of 11 + (2 - (s - 1))? 4 Let m = 32 - 2. What is the units digit of (-4)/(-16) - m/(-8)? 4 Let x(y) be the third derivative of y**4/8 + y**3/3 - 3*y**2. What is the units digit of x(2)? 8 Let g be (-75)/10*4/(-6). Suppose g*a - 3 - 2 = 0. What is the units digit of a? 1 What is the units digit of -3 + (3 - -1) + 37? 8 Let q be 0 + -2 - (0 - -1). Let d be q + 3 + 2 + 2. Suppose 5*a - 79 = 2*x, -d*x = -2*a - x + 36. What is the tens digit of a? 1 Let c(o) = 4*o**2 - o. Let p be c(-2). Suppose -6 = -3*n - m - 2*m, 3*n - 4*m - 20 = 0. Suppose a = n*a - p. What is the units digit of a? 6 Let t = 208 + -111. Suppose t - 2 = 5*l. What is the tens digit of l? 1 Suppose 3*f + 0*f - 45 = 0. Suppose 2*b + 41 = f. Let a = -3 - b. What is the units digit of a? 0 Let i = -1 - -3. Suppose -6*s + i*s = 36. What is the units digit of 1 + (s + 1)/(-2)? 5 Let t(p) = -p**2 - 1 - 5*p + 14*p - 3 + 7. What is the tens digit of t(8)? 1 Let g be 3/6 - 15/(-6). Suppose -a + g = -0*a. What is the units digit of a? 3 Let h = 75 - 34. What is the units digit of h? 1 Suppose -5*h + 10*h - 150 = 0. What is the tens digit of h? 3 Let y(h) = -2*h + 5*h**2 + 3 + 9*h**2 + 0*h - 7*h**2. Let s be y(-3). What is the units digit of s/15 - (-2)/10? 5 Suppose 224 = b - 54. What is the units digit of b? 8 Let q = -9 - -1. What is the tens digit of (10/(-8))/(1/q)? 1 Let n = 1 + 3. Suppose n*u - 5 - 11 = 0. What is the units digit of u? 4 Let o be 9/2*16/(-12). Let q be -1*3*o/9. Suppose -q*n - 3 = 5*r - 4*n, 3*r + 1 = n. What is the units digit of r? 1 Suppose 5*f - 2*f = 51. What is the tens digit of f? 1 Suppose 4*f + 3 = -5. Let q be 46/(-8) + 1/(-4). Let t = f - q. What is the units digit of t? 4 What is the hundreds digit of 4/(-2) - (14/(-7) - 186)? 1 Suppose -3*j + 422 - 77 = 0. What is the units digit of j? 5 Let h be (-23)/7 + (-2)/(-7). Let b be (1/h)/((-2)/(-6)). Let v = b + 12. What is the tens digit of v? 1 Suppose 4*y + d = 17, -19 = -5*y - d + 2*d. Suppose -1 = 3*h - y. What is the units digit of h - 1 - -1*4? 4 Suppose 0 = 5*u - 0*u - 20. Suppose 3*c = -u*l + 51, -l - 34 = -2*c - 0*l. What is the tens digit of c? 1 Let h(y) = -2*y**3 - 3*y**2 + 3*y + 3. What is the tens digit of h(-3)? 2 Suppose -765 = -9*h + 4*h. What is the units digit of h? 3 Suppose 54 + 114 = 2*w. Suppose -5*g + 75 = -5*n, -w = -5*g + n + 7. What is the units digit of g? 9 What is the units digit of ((-45)/(-4))/((-18)/(-48))? 0 Suppose -283 = -i + 3*d - 5*d, 5*d = -2*i + 568. What is the hundreds digit of i? 2 Let m(r) = 2*r**2 - r - 1. Let n be (8 - 2)/2 + -11. Let u(d) = -d**2 - 7*d + 10. Let a be u(n). What is the units digit of m(a)? 5 Let p = -8 - -23. What is the units digit of p? 5 What is the units digit of 0/1 - (-6 + 2)? 4 What is the hundreds digit of (6 - 3) + -442*(-4)/8? 2 Suppose -4*h + 7*h = 75. Let u = h + -13. What is the tens digit of u? 1 Suppose 2*p = -0*p. Suppose 2*h + 2*x = 6*x + 2, 3*x - 6 = p. What is the units digit of h? 5 Let f(m) = -3*m - 16 - 3*m + 0*m + m. What is the units digit of f(-7)? 9 Suppose -4*f = 17 - 49. What is the tens digit of 92/f + 2/4? 1 Suppose 2150 = 2*s + 8*s. What is the tens digit of s? 1 Let n(q) = q**3 - 6*q**2 + 2*q - 9. Let o be n(6). Suppose o*l - 51 = -21. What is the units digit of l? 0 Let p(v) = 172*v**2 + 3*v + 3. What is the hundreds digit of p(-1)? 1 Let i(x) = x**2 - x + 2. Let j be i(0). Suppose -6*s + 32 = -j*s. What is the units digit of s? 8 Suppose 3*h + 40 - 223 = 4*p, -4*p + 337 = 5*h. What is the tens digit of h? 6 Suppose -235*k + 234*k = -162. What is the hundreds digit of k? 1 Let i(o) = o + 2. Let l be i(1). Suppose 3*q - 9 = 3. Suppose -2*x - q*g = -l*x - 10, 20 = 4*x + 4*g. What is the units digit of x? 2 What is the units digit of ((-210)/63)/((-2)/15)? 5 Let x(b) = -b**2 - 7*b - 3. Let i be x(-3). Suppose -g - 6 = 3. What is the units digit of (-2)/g - (-7)/i? 1 Let x(y) = y**3 - 2*y**2 - 5*y - 3. What is the hundreds digit of x(7)? 2 Let f(q) be the third derivative of q**4/12 + q**3/6 - 5*q**2. What is the units digit of f(11)? 3 What is the tens digit of (11*(0 + -3))/(-1)? 3 Let t = 60 - -33. What is the tens digit of (-2 + 5)*t/9? 3 What is the units digit of ((-2)/4)/((-5)/120)? 2 Let m(u) = u**2 + 7*u + 2. Suppose -3*l - 16 = 23. Let b = l + 6. What is the units digit of m(b)? 2 Let x be 90/(-21) + 2/7. Let o be 2/x*0 + 2. Let a(w) = w**3 - 4*w + 3. What is the units digit of a(o)? 3 Let i(t) be the third derivative of 11*t**6/120 + t**5/60 - 2*t**2. Let u be i(1). Suppose 0 = -4*h + 2*h + u. What is the units digit of h? 6 Suppose 4 = -2*t - 2*t. Let x be t - -1*(0 + 8). Suppose 4*u = 2*j - 6, -2*j + x = -0*j - 5*u. What is the units digit of j? 1 Suppose -20 = -9*p + 5*p. Suppose -h + 4*z - 86 = -6*h, h + 3*z - 15 = 0. Suppose -20 = -p*a - 5, -h = -y - 3*a. What is the units digit of y? 9 Let i be 0 + 3 - (-9 - -10). Suppose 100 = i*p + 3*p. What is the units digit of p? 0 Suppose 7*o + 2*t - 261 = 2*o, 0 = 2*o - 3*t - 93. What is the tens digit of o? 5 Let o(l) = l**3 + l**2 + 4. Let h be o(0). Let t(m) = -m + 1. Let s be t(3). What is the units digit of ((-6)/h + -1)*s? 5 Let
{ "pile_set_name": "DM Mathematics" }
d by x? 8 Let v be (-6)/(-15) + (-186)/15. Let b = v - -81. Suppose -5*l + 1 + b = 0. What is the remainder when l is divided by 4? 2 Suppose 14*a = 10*a + 5*n + 116, 3*n + 87 = 3*a. What is the remainder when 326 is divided by a? 7 Let c = -498 - -542. What is the remainder when 180 is divided by c? 4 Let s be (-1)/3*(1 - 22). Let b = 197 + -193. Suppose b*p - s = 9. What is the remainder when p is divided by 2? 0 Let z = 15 - 0. Suppose -8*p = -z - 17. Calculate the remainder when p is divided by 2. 0 Suppose -2*j - 2*t + 7*t - 46 = 0, -2*t = -4. Let o be -1 - -22*(-3)/6. Let q = o - j. What is the remainder when 21 is divided by q? 3 Let t(d) = -4*d + 2*d**2 - 1 + 3*d + 4*d. Calculate the remainder when t(4) is divided by (55/110)/((-2)/(-72)*2). 7 Let b(d) = 10*d - 155. Suppose -4*j - j + 2*s + 100 = 0, 0 = 2*j - 4*s - 56. Let m = -12 + j. What is the remainder when b(17) is divided by m? 3 Let h = 6 - -4. Suppose -h = 3*t - 8*t. Suppose 2*x + 5*c + 0 = 46, -t*x + 5*c = -26. Calculate the remainder when 53 is divided by x. 17 Let x = 1214 - 622. What is the remainder when x is divided by 17? 14 Let h = 109 - 104. Calculate the remainder when 109 is divided by (1 - -3) + h/((-5)/(-4)). 5 Let t = 77 + -74. Suppose t*d - 18 - 24 = 0. What is the remainder when d is divided by 3? 2 Calculate the remainder when 58 is divided by 46/((1 - -1)*1). 12 Suppose 4*n + 116 = -0*n. Let c = n + 56. What is the remainder when c is divided by 4/(-2) - 51/(-3)? 12 Let w = 8 - -10. Calculate the remainder when 24 - ((-16)/(-4) - 14) is divided by w. 16 Suppose -107 + 387 = -4*q. Let k = 96 + q. What is the remainder when 50 is divided by k? 24 Let y(q) = 12*q**3 + 4*q**3 - 17*q - 9*q**2 - 8 - 17*q**3. Calculate the remainder when 37 is divided by y(-7). 11 Let k(z) = -108*z - 753. Calculate the remainder when 105 is divided by k(-7). 0 Suppose u = -0*u + 47. Suppose -4*k = -0*k + 80. Let h = k + u. Calculate the remainder when h is divided by 7. 6 Suppose -5*t + g + 5 = 0, -2*g - 13 = 5*t - 3. Let n(w) = w**2 + 6. Calculate the remainder when 11 is divided by n(t). 5 Suppose 87*a - 77*a - 500 = 0. Calculate the remainder when 324 is divided by a. 24 Suppose h - 45 = -3*p + 5, -4*h = 16. What is the remainder when 1313 is divided by p? 17 Let k(a) = a**2 + 5*a - 1. Suppose -4*p + t = 177, -5*p - 28 - 193 = -t. Let n be (-11)/p*(-12)/(-1). What is the remainder when 67 is divided by k(n)? 21 Let l = 35 + -35. What is the remainder when 14 is divided by (4 + l)*(-99)/(-44)? 5 Let g be 31376/30 + -6 + 4/30. Suppose 15*m - g = 2*m. Calculate the remainder when m is divided by 21. 17 Suppose 0 = 310*x - 309*x - 317. Calculate the remainder when x is divided by 53. 52 Let f be (1/2)/((-2)/16). Let q(r) = 2*r + 5. Let y(t) = 3. Let m(s) = -6*q(s) + 11*y(s). Calculate the remainder when m(f) is divided by 13. 12 Let y = -828 + 1458. Suppose -255 - y = -5*v. What is the remainder when v is divided by 15? 12 Let q(t) = t**2 - 5*t - 6. Suppose -3*z - 3 = w - 24, 0 = w. Let f(y) = y**2 + 35*y + 327. Calculate the remainder when f(-17) is divided by q(z). 5 Let f = -491 + 619. Suppose 0 = 2*o - 2 - 24. What is the remainder when f is divided by o? 11 Let k(t) = -t**2 - 12*t + 22. Suppose 2*l = -3*x + 38, 2*x - 5*l - 47 = -2*l. Calculate the remainder when k(-10) is divided by x. 10 Suppose 7*c + 2 = 8*c. Calculate the remainder when (7 + -8)/(c/(-86)) is divided by 11. 10 Let x = 9 - 6. Suppose -2*d + 3*n = -d - 2, -2*n = -x*d + 34. Let v(u) = 14*u**2 + 3*u + 3. Calculate the remainder when v(-2) is divided by d. 11 Suppose 20*o - 30*o = -1570. Calculate the remainder when o is divided by 45. 22 Let m(c) = c**3 + 14*c**2 + 26*c - 3. Let g be m(-12). Calculate the remainder when 65 is divided by (-6)/g + 302/18. 14 Let g = -228 - -299. What is the remainder when g is divided by 13? 6 Suppose -2*l - f + 7 = l, 0 = -5*f - 25. Suppose 0 = 2*x - 8, l*o + o + 2*x - 138 = 0. What is the remainder when o is divided by 8? 2 Let y be 21/7*15*1. Let j = 71 - y. Suppose 0 = -g - 5 + 19. What is the remainder when j is divided by g? 12 Let u = 46 - 17. Suppose -3 = -23*j + 20*j. Let c(o) = 10*o**3 + 3*o**2 - 3*o + 1. What is the remainder when u is divided by c(j)? 7 Suppose 19*j + 1250 = 29*j. What is the remainder when j is divided by 44? 37 Suppose -3*c - 4*m + 16 = 0, 3*c + 2*m - 7 = 1. Suppose j + 198 = 5*j - 2*t, -4*j - 4*t + 168 = c. Let p = j - 32. What is the remainder when p is divided by 9? 6 Let m(j) = 8 - 6*j + j**2 + 3*j + 8 - 5. Let i(n) = -n**3 + 7*n**2 - 6*n + 2. What is the remainder when m(9) is divided by i(5)? 21 Suppose -63 = 4*h - q - 1293, -q + 1533 = 5*h. What is the remainder when h is divided by 77? 76 Suppose -5*z + 0 = 25, 0 = -q + 4*z + 44. What is the remainder when q is divided by 14? 10 Suppose 5*j - 3*v = 33, -5*v = -j + 3*j - 7. Calculate the remainder when 9 is divided by j. 3 Let g(t) = -t**3 + 7*t**2 + 9*t + 13. Calculate the remainder when g(8) is divided by 17. 4 Suppose 0 = t - 6*t. Suppose t = m + 4*m - 30. Calculate the remainder when m/8 - (-153)/4 is divided by 20. 19 Suppose -3*d = 16 - 13, 4*d = -3*o + 1127. Calculate the remainder when o is divided by 95. 92 Suppose 0 = -l + 9 + 11. Let r(d) = d**2 + 3*d - 4. Let c be r(-3). Let w = c + 15. What is the remainder when l is divided by w? 9 Let d(a) = -32*a + 101. Let p = -121 + 195. Calculate the remainder when p is divided by d(3). 4 Suppose -2*r + 5 = 2*v - 9, 0 = -2*v - 4*r + 24. Suppose -531 = 11*q - 608. Calculate the remainder when q is divided by v. 1 Let o(n) = n + 6. Let l be o(-2). Suppose t = l*i + i + 16, -3*t = 5*i + 32. Calculate the remainder when (-2)/t - 18/(-4) is divided by 3. 2 Suppose 0 = -17*c + 192 + 505. What is the remainder when 170 is divided by c? 6 Suppose -5*r + 59*s - 61*s = -1048, 0 = 5*r + 3*s - 1047. Calculate the remainder when r is divided by 12. 6 Let f(o) = 5*o**3 - 19*o**2 + 17*o - 5. Calculate the remainder when f(7) is divided by 20. 18 Suppose 10*g - 40 = 120. Suppose -46 = -k - 16. What is the remainder when k is divided by g? 14 Suppose 5*o + 2 = 2*n, -2*o - 16 = -4*n + 4. Let m = 8 - -7. Suppose -m = c - n*c. Calculate the remainder when 11 is divided by c. 2 Suppose 3*f = 82*f - 5688. Calculate the remainder when 141 is divided by f. 69 Let n(f) = 18*f**2 - 43*f - 12. Calculate the remainder when 83 is divided by n(3). 20 Suppose 70*d - 450 = 60*d. Calculate the remainder when 538 is divided by d. 43 What is the remainder when ((-1)/(-4))/(35/101780) is divided by 52? 51 Suppose 4*j = -3*f + 313, -5*f + 210 = -3*f + 3*j. Let t be 5/(1464/744 + 1 + -3). Let q = t + 175. Calculate the remainder when f is divided by q. 19 What is the remainder when (0 + -1)/((-14)/2982) is divided by (7 + 2)/(-12*4/(-128))? 21 Let a be 2 + 2 + (-354)/(-3). Let o = -49 + a. Suppose 0 = 4*z + 2*n + 2 - 76, -2*z + 2*n + 40 = 0. Calculate the remainder when o is divided by z. 16 Let u = -1417 + 1428. What is the remainder when 745 is divided by u? 8 Let q = 49 - -70. What is the remainder when q is divided by 11? 9 Let p = 24 - 33. Let v be ((-24)/54)/(2/p). Suppose -6*f + 108 = -v*f. Calculate the remainder when f is divided by 7. 6 Let r = 4 - 5. Let d = 5 - r. Let j = -826 - -828. What is the remainder when d is divided by j? 0 Suppose -r - 19 = -m, 3*m - 8 = -2*r + 34. Let k be 3*(-2 + 0)*-47. What is the remainder when (-2)/(-3)*k/4 is divided by m? 15 Suppose -3*c + 143 = b, -3*c + 0*c + b + 133 = 0. Let a = 70 - c. What is the remainder when a is divided by 13? 11 Suppose 651*w + 6 = 652*w. What is the remainder when 173 is divided by w? 5 Let z = 27 + -4. Suppose -4*x - 4*f + 12 = 0, 0 = -x - f - f + 1. What is the remainder when z is divided by x? 3 Let c(x) = -x**2 + 11*x - 5. Let f be c(10). Let z(u) = 3*u**2 - 11*u + 3. Calculate the remainder when 91 is divided by z(f). 22 Let l(v) = v + 24. Calculate the remainder when 136 is divided by l(-9). 1 Let d(i) = 23*i**3 + 4*i + 3. Let m be d(-1). Let p = m - -36. Calculate the remainder when 34 is divided by p. 10 Let w be (4/10)/((-1)/(-20)). Suppose 2*c - c = w. What is the remainder when 14 is divided by c? 6 Suppose a - 13 = 2*f, 2*a + 6*f - 3*f + 9 = 0. Let q = -12 - 2. Let y = -5 - q. Calculate the
{ "pile_set_name": "DM Mathematics" }
rt(475)))**2. -120*sqrt(19) + 133619/16 Simplify ((sqrt(84)/sqrt(12) + sqrt(7))*3*-2*6 + (sqrt(105)/(sqrt(9)/sqrt(3)))/((-1*sqrt(60))/sqrt(12) - sqrt(5)))**2*-3. -441525/4 Simplify (1*(6*sqrt(1331)*-1*-2*1 - (sqrt(1331) + -4 + (sqrt(1331) + 2 - sqrt(1331)) + sqrt(1331) - (sqrt(1331) - (3 + -1 + sqrt(1331))))))**2. 133100 Simplify -4 + ((4*2*sqrt(156))/sqrt(12) + 0 - (-1 + sqrt(637) + (0 + sqrt(13) + -2 - sqrt(13)) + sqrt(13))**2). -845 + 56*sqrt(13) Simplify -3 + sqrt(119)/(sqrt(28) + sqrt(1792) + sqrt(7)) + 6*(sqrt(136) + 2*(sqrt(136) + (sqrt(136)*5 - sqrt(136)) - sqrt(136)))/sqrt(8). -3 + 1027*sqrt(17)/19 Simplify ((1*sqrt(6)*-6 - (sqrt(6) - (2*sqrt(384) + sqrt(384))))/(1*(sqrt(2) + (sqrt(64)/sqrt(4))/sqrt(8)))*-5 + -3)**2. 255*sqrt(3) + 21711/4 Simplify (4*(-3*sqrt(88)*2 + sqrt(88)))/(5*(-1*sqrt(128) - sqrt(128))) + -2. -2 + sqrt(11)/2 Simplify (5*(sqrt(99) - -2*sqrt(99)) + sqrt(99) + 4*-2*sqrt(99))/(3*-1*sqrt(324)) + -5. -5 - 4*sqrt(11)/9 Simplify (-1*sqrt(4455) + sqrt(55) + (sqrt(660)*1)/sqrt(12))/((sqrt(99) + -2*-1*sqrt(99) - sqrt(99)) + (-5*1*sqrt(99) - sqrt(99))). 7*sqrt(5)/12 Simplify (4*-3*(sqrt(156) - (sqrt(156) - ((sqrt(156) - sqrt(156)*-1*-5 - sqrt(156)) + sqrt(156)))))/((-1*sqrt(108)*3)/(sqrt(9) - -1*sqrt(81))). -64*sqrt(13) Simplify (-1*(-4 + sqrt(3)))**2 + (sqrt(3) - sqrt(21)/sqrt(28) - sqrt(3))**2 - (sqrt(324)/(sqrt(12)*-1))/(sqrt(144)*1). -31*sqrt(3)/4 + 79/4 Simplify ((sqrt(2058) + (sqrt(2058) - 3*sqrt(2058)) - sqrt(2058))*4*2)/(5*sqrt(42)/(-3*sqrt(112))). 1344*sqrt(7)/5 Simplify (1*(5 + sqrt(1539) + sqrt(1539)*-3))**2 - (sqrt(19) + -6*(0 + sqrt(19)) + 2*sqrt(304))**2. -180*sqrt(19) + 6010 Simplify -6*(-5 + (3*sqrt(720) + sqrt(720) - sqrt(720))**2 + sqrt(5)) + 3*(-2 + (sqrt(720) - (-4 + sqrt(720)))). -38844 - 6*sqrt(5) Simplify (0 + -1*sqrt(1053)*-2 + (sqrt(78)*2*-2)/(sqrt(6) - (-1*sqrt(96) - sqrt(6))))**2 + 4. 35188/9 Simplify (6*(sqrt(525) - (sqrt(525) + sqrt(525) + -1*sqrt(525)*6 + sqrt(525))))/(-6*-1*sqrt(300)*-1). -2*sqrt(7) Simplify (5*(2*sqrt(175) + 1 + -5 - (-3 + sqrt(175) + 3 + 2)))**2. -1500*sqrt(7) + 5275 Simplify (((sqrt(170)*2 - sqrt(170))*-4 - sqrt(170)*1*2)*-2)/(-1*(sqrt(10) - (sqrt(10) + sqrt(10)*2*-3) - sqrt(10) - sqrt(10))*-6) + -1 + 1. sqrt(17)/2 Simplify (-3 + -2 + sqrt(19)*2*6 + (sqrt(19) - (sqrt(228)*1 - sqrt(228))/sqrt(12))*4 + 1 + -1)**2. -160*sqrt(19) + 4889 Simplify (((sqrt(204) - -1*sqrt(204) - sqrt(204))*2 + sqrt(204) + sqrt(204))/(sqrt(4)*-1*4))/((sqrt(192)*-1 - sqrt(192))*1*-4). -sqrt(17)/64 Simplify (-1*-1*(sqrt(68) + sqrt(17)))**2 + 1 + 4 + -2*sqrt(17) + sqrt(17) + -3 + -4. -sqrt(17) + 151 Simplify -1*(((sqrt(72) + sqrt(72) + 2*sqrt(72))/sqrt(8) - ((sqrt(90)/(2*sqrt(10)) - sqrt(9)) + sqrt(9)))/(sqrt(243)*4))**2. -49/1728 Simplify -1 + (-2 + (1 + sqrt(1300))**2 - (-1*(1 + sqrt(1300)) + sqrt(1300))) - (sqrt(364) - 5*(sqrt(364) + sqrt(364)*2 + sqrt(364) - sqrt(364)))/(sqrt(28)*1). 34*sqrt(13) + 1299 Simplify 6*-6*(1*(4 + (-2*sqrt(11))**2) - (-4 + (sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))))**2). 6336*sqrt(11) + 190512 Simplify (sqrt(98) + -2 + sqrt(98) + -2 + -1)**2 - ((sqrt(8)/(sqrt(32)/(sqrt(48)/sqrt(6))))**2 + -3). -140*sqrt(2) + 418 Simplify (((sqrt(450) - -2*sqrt(450)*1)/sqrt(9))/((-1*-5*sqrt(70))/sqrt(7)) + 0)**2. 9/5 Simplify -5 + (3*sqrt(77)*-2 + sqrt(77)*1*1 + sqrt(77))/(sqrt(21)/sqrt(3)*-5 + (sqrt(252) - (-2*sqrt(252) + sqrt(252) + sqrt(252)))) + -1. -4*sqrt(11) - 6 Simplify (-1*6*(sqrt(7) + sqrt(63)/sqrt(9))*-5 + ((-2 + -5 + sqrt(448))*4)**2)*-1. -7952 + 1732*sqrt(7) Simplify ((sqrt(96)*-2 + (sqrt(6) - (sqrt(6) - sqrt(12)/sqrt(2) - sqrt(6))*-1))/((2*sqrt(21))/sqrt(7) + (sqrt(15)/sqrt(5) + sqrt(3))*-3))**2. 8 Simplify (2 + -1 + ((-1 + sqrt(1700) + 2)*4 + -3 + sqrt(1700) + -1 + 1 + sqrt(1700))**2)*-5. -306010 - 600*sqrt(17) Simplify (3*sqrt(75) + 5 - (sqrt(75) + -3 + sqrt(75) + sqrt(75))*-4)**2 - (2*((sqrt(75) + 1 - sqrt(75)) + 3)*-1)**2. -1050*sqrt(3) + 16860 Simplify ((sqrt(364)/(sqrt(56)/sqrt(8)*2))/(sqrt(216)/(-5*sqrt(6))))**2. 325/36 Simplify 1*(4 + (sqrt(1216) - (-2*sqrt(1216))**2))*-6 + (sqrt(1216) - (-3*sqrt(1216) + -2 - sqrt(1216))**2 - (3*(sqrt(1216)*-1 - sqrt(1216)) - sqrt(1216))). -112*sqrt(19) + 9700 Simplify (sqrt(57)/(sqrt(12)/(sqrt(4)*1 + sqrt(4))) + 0 + (-4*sqrt(475) - (sqrt(684) + -2)))*6*-2. -24 + 288*sqrt(19) Simplify (-3 + sqrt(7) + 1)**2 - 4*4*sqrt(7) - 3*(2 + sqrt(847)*3). -119*sqrt(7) + 5 Simplify -3 + (sqrt(363)*5 - sqrt(363))*1 + (sqrt(300) - (-1 + sqrt(300)) - sqrt(300))**2*6*6. -676*sqrt(3) + 10833 Simplify -6*((sqrt(153) - -2*sqrt(153) - sqrt(153)) + sqrt(34)/sqrt(2) + -3 + (4*1*sqrt(85))/sqrt(5))*-5*5 + -4. -454 + 1650*sqrt(17) Simplify 4*(-3*-6*sqrt(8)/sqrt(2))/(sqrt(8)/(-1*sqrt(4)) + sqrt(2) + sqrt(2) + sqrt(32)*-1) + 0. -24*sqrt(2) Simplify -2*(sqrt(75) - (sqrt(75) + 2 + sqrt(75)))**2*-4 + sqrt(108)*3 + sqrt(108) + -2 + 2. 184*sqrt(3) + 632 Simplify 4*(-6*(1*sqrt(171) + sqrt(171) + -1 - sqrt(171)*-2*4))**2*-1. -2462544 + 8640*sqrt(19) Simplify 4 + (2 + sqrt(675) + sqrt(675) + -1 - (sqrt(108)/sqrt(4) + sqrt(27))**2*3*-1). 30*sqrt(3) + 329 Simplify -4*(((-4*(-1*sqrt(2736) - sqrt(2736)) - sqrt(2736)) + 1)**2 - (sqrt(1539) + -4 - 3*sqrt(171))**2). -536196 - 672*sqrt(19) Simplify ((sqrt(24)/sqrt(32) + (sqrt(144)/sqrt(6))/sqrt(8))*1)**2 + (sqrt(3) + sqrt(75)*-2 - (sqrt(300) + 2*sqrt(300))**2) + -4. -10789/4 - 9*sqrt(3) Simplify 0 + (-4*(sqrt(128)*-2 + -3 + sqrt(128)*-1 + 0))**2 + -4 + -2*-1*(2*sqrt(128))**2. 2304*sqrt(2) + 19596 Simplify (-2*sqrt(1539) + 2 - ((sqrt(1539) - (1 + sqrt(1539) + -4))**2 + sqrt(1539))) + 1 - (sqrt(57)/(sqrt(243)*2 + sqrt(243)) - (sqrt(475)*1*3)**2). -730*sqrt(19)/27 + 4269 Simplify (-2*(sqrt(450)*1 + sqrt(450)) - -1*sqrt(450)*2)/((-1*-1*sqrt(80) + sqrt(80))/(sqrt(88)/(sqrt(11)*2))). -3*sqrt(5)/2 Simplify (sqrt(968) + -1)**2*6 + (sqrt(24) - (sqrt(24) - -1*sqrt(600)))/(sqrt(12)*1*-2). -523*sqrt(2)/2 + 5814 Simplify (((-2*sqrt(363) - sqrt(363))*3)/(sqrt(44) + sqrt(44)*1))/(sqrt(192)*-1 + sqrt(3)*-1*-2). 3*sqrt(11)/8 Simplify (sqrt(540)/sqrt(12) + -3 + sqrt(5)*-6 - (5 + (sqrt(245) - (sqrt(245)*-2 + sqrt(245) + sqrt(245))) + -4))**2. 80*sqrt(5) + 516 Simplify (((-3*(-1 + sqrt(171) + -5))**2 - (sqrt(171) + 1*sqrt(171)*-2 + -5)**2) + 4)*2. -708*sqrt(19) + 3342 Simplify ((-6*sqrt(175)/sqrt(5)*-3*-5)/((1*sqrt(3500) + sqrt(35))/(-2*sqrt(245))))**2. 7938000/121 Simplify (1*(sqrt(18) + (sqrt(18) - sqrt(144)/sqrt(32)) + sqrt(18)))/(sqrt(36)/sqrt(1944)) + 4. 4 + 45*sqrt(3) Simplify (1*(5*(sqrt(77) + -2*sqrt(77)) - (sqrt(77) + sqrt(77) + (sqrt(77) - 2*sqrt(77)*3)))*5)/((sqrt(784)*-3)/((sqrt(42)/sqrt(6) + sqrt(7) + sqrt(7))*5)). 25*sqrt(11)/2 Simplify (6*(sqrt(91)*2*6 - -2*sqrt(91)*3))/(((-1*sqrt(1764) - sqrt(1764)) + sqrt(1764))/(sqrt(28)/(sqrt(20)/sqrt(5)))). -18*sqrt(13) Simplify (sqrt(650) + -2*sqrt(650)*-3 + sqrt(650) + sqrt(650) + sqrt(650) + (sqrt(650) - (-3*sqrt(650)*2 - sqrt(650) - sqrt(650))))/(-3*-2*sqrt(18)*-5). -19*sqrt(13)/18 Simplify 3*6*((-3*(0 + sqrt(75)))**2 + sqrt(162)/sqrt(6) + (sqrt(3) - (sqrt(3)*1 + 1))**2)*-4. -48672 - 216*sqrt(3) Simplify (2*(-2 + sqrt(7)) + (sqrt(7) - (sqrt(7) + 1*sqrt(700))**2))*-5 - (((sqrt(70) - sqrt(70)*2)*-3)/(1*sqrt(40)))**2. -15*sqrt(7) + 16957/4 Simplify (-6*(sqrt(171) + sqrt(171)*-3 + sqrt(171))*-1*-5)/(-2*(sqrt(900) + sqrt(900)*-1) - 2*sqrt(900)*5). -3*sqrt(19)/10 Simplify 2 + -6*(-2*sqrt(1372)*-3*3 + 3*(sqrt(1372) + 0) + 3 + 1)**2. -3630406 - 14112*sqrt(7) Simplify (5 + ((sqrt(1700) - (sqrt(1700) + sqrt(1700)*1 + -2 + sqrt(1700))) + sqrt(1700) - (sqrt(1700)*2 + -3 + sqrt(1700))) + -1*(3 + -2*sqrt(1700))*6)**2. -1280*sqrt(17) + 108864 Simplify (2 + -1*(-1 + sqrt(425) - sqrt(425)) - (1*sqrt(272) + sqrt(17) + 3 + 0 + sqrt(17)))**2. 612 Simplify 1 + ((sqrt(99) - (sqrt(99)*3 + sqrt(99))*1 - (sqrt(99) + sqrt(99)*-1*2))/(sqrt(108)/(sqrt(3) + sqrt(9)/(sqrt(15)/sqrt(5)) + sqrt(3))))**2. 100 Simplify -4*((-3*(5 + -1*sqrt(80)))**2 + sqrt(50)/sqrt(10) + 2 + sqrt(605) + -4). -3772 + 1392*sqrt(5) Simplify (1 + (-2*(sqrt(784)*3 - (sqrt(1225) + sqrt(1225)*2 + sqrt(1225))))/(((sqrt(504) + sqrt(504)*2)/sqrt(12))/(2*sqrt(12)/sqrt(2))))**2. 64*sqrt(7)/3 + 7177/9 Simplify ((-4*sqrt(200) + 2 - (-5*sqrt(200)*1 - sqrt(200)))*-1*6)**2*-4. -115776 - 11520*sqrt(2) Simplify ((2*sqrt(128) + -5)*-2*-1 - (-5 + sqrt(128)*-4
{ "pile_set_name": "DM Mathematics" }
288)/(-2*sqrt(972)))/(((2*sqrt(72) + sqrt(72) - sqrt(72))/sqrt(4))/sqrt(9)) + 5. -sqrt(3)/18 + 5 Simplify (0 + sqrt(252) + -1 + (sqrt(252) - (sqrt(252) - (-1 + -1*sqrt(252)))) - (2*sqrt(252)*1 - (sqrt(252) + 2)*-4))**2*-1. -9172 - 720*sqrt(7) Simplify ((sqrt(119) - (1*sqrt(119)*-5 - sqrt(119)) - 2*-2*sqrt(119))*-1)/(6*sqrt(70)/(sqrt(50)/sqrt(5))*-4). 11*sqrt(17)/24 Simplify ((((sqrt(156) - (sqrt(156) + sqrt(156) + -4*(sqrt(156) - 5*sqrt(156)))) + sqrt(156) - sqrt(156))*-1)/((sqrt(72)/sqrt(3))/sqrt(2) + -1*sqrt(768))*1)**2. 3757/49 Simplify 4*((sqrt(1100) - sqrt(1100)*2) + sqrt(1100) + sqrt(1100) + 5 + -4)**2 + (sqrt(99)*5 - sqrt(44)*-4)*4. 172*sqrt(11) + 4404 Simplify -1*4*((4 + sqrt(75) + -4 - sqrt(75)) + sqrt(75) - (((sqrt(75) + -2 + sqrt(75) + sqrt(75))**2 - sqrt(75)) + -5)). -280*sqrt(3) + 2696 Simplify -6*(sqrt(27)/sqrt(144))**2 + (-4 + sqrt(243)*1)**2 + 2*(sqrt(363) + -3 + (sqrt(363) - sqrt(363)*-2)**2 + sqrt(363) - 2*(-1 + sqrt(363))). -72*sqrt(3) + 54319/8 Simplify (((sqrt(420) + (sqrt(420) - 6*(sqrt(420) - (sqrt(420)*-2 - sqrt(420))) - sqrt(420)))/sqrt(7))/(sqrt(50)/(3*sqrt(10)*-5)))**2. 1428300 Simplify (3 + 0 + sqrt(343) - (sqrt(343) + -1)*-5 - -2*(-3 + sqrt(343))*1) + -5 + 4. -9 + 56*sqrt(7) Simplify (((sqrt(275) - (1 + 5*sqrt(275))) + sqrt(275))*-2 - (4 + 4 + 4*sqrt(275) + sqrt(275)))**2. -60*sqrt(11) + 311 Simplify (sqrt(720) - (sqrt(720) - (sqrt(720) + -1 + sqrt(720) - sqrt(720))**2*-1) - sqrt(720) - (sqrt(720) - (-4*sqrt(720)*-2)**2)) + (-2*-1*-2*sqrt(500))**2. 53359 Simplify ((4*3*sqrt(832) - 4*sqrt(832)*-3) + -4 + (-5 + sqrt(832) + sqrt(832) + 1 + sqrt(832) + 5 - (-3*(0 + sqrt(832)) - (3 + sqrt(832)*-2))))**2. 652288 Simplify (-5*sqrt(12)/sqrt(6))**2 + sqrt(22)/(sqrt(11)*-3) + -4*(sqrt(128) - sqrt(2))*-1 + 2. 83*sqrt(2)/3 + 52 Simplify -5*(-2 + (2*(sqrt(38) + -1*sqrt(38)) - -1*sqrt(152))/((sqrt(112)/sqrt(2) + sqrt(56))/sqrt(7))). -5*sqrt(19)/2 + 10 Simplify 3*sqrt(425) - sqrt(85)/(sqrt(5) - -3*sqrt(5)) - -6*(5 + ((sqrt(17) + 1)*-3 - sqrt(17)))**2. -325*sqrt(17)/4 + 1656 Simplify (((-2 + sqrt(1008) + 1 - (2 + sqrt(1008)*-1)) + (1*((2*sqrt(1008) - sqrt(1008)) + sqrt(1008)) + -4 + (sqrt(1008)*-2 - sqrt(1008)))*4)*-3)**2. 8208*sqrt(7) + 39537 Simplify (-6*sqrt(1960) + ((sqrt(160)*3 - sqrt(160) - sqrt(160)) + sqrt(160))/sqrt(4))/(5*sqrt(88)/(sqrt(44)/sqrt(4)*-5)). 40*sqrt(5) Simplify ((3*(6*sqrt(91)*3 - -3*(2*sqrt(91) + sqrt(91))))/(4*(-2*sqrt(7)*4 + (sqrt(63)/(sqrt(9) + sqrt(9)*-3 - sqrt(9)) - sqrt(7)))))**2. 767637/12544 Simplify (-5*-1*sqrt(152) - sqrt(152)*5*-2)/(sqrt(800) + (4*(sqrt(800)*-1 - sqrt(800)) - sqrt(800)) + 1*(sqrt(800)*-1 - sqrt(800)) + sqrt(800)). -sqrt(19)/6 Simplify (2*(1*sqrt(312) + sqrt(312))*6)/(-4*1*sqrt(216)). -2*sqrt(13) Simplify ((1*sqrt(896) + sqrt(126)/sqrt(36))*-6)/((1*(sqrt(560) - sqrt(35)) - sqrt(35))/(sqrt(405) + 1*sqrt(405) + sqrt(405))). -1377*sqrt(2)/2 Simplify (4 + 2*(5 + (-1 + sqrt(605) - sqrt(605)) + 2*sqrt(605)*1)*-5*-1*3)**2. 163680*sqrt(5) + 2193376 Simplify (2 + (sqrt(700)*-1)**2 - (-5 + -1*sqrt(700))**2) + 4*(sqrt(567) - sqrt(567)*1)**2 + 2. -100*sqrt(7) - 21 Simplify ((sqrt(425) + -4 + sqrt(425) - sqrt(425))*-3*6 + (sqrt(85) + 5*sqrt(85)*1)/(sqrt(5) + sqrt(1375)/sqrt(11)))**2. -12816*sqrt(17) + 139841 Simplify (-3*((-1*sqrt(72) + sqrt(72))*4 + sqrt(72) - 5*sqrt(72)*-2)/(sqrt(36)/(sqrt(6) - sqrt(24)) + sqrt(6) - ((sqrt(126)/sqrt(3))/sqrt(7) + sqrt(6))))**2. 3267 Simplify (0 + ((0 + sqrt(396) + 2 + sqrt(396))*3 - (2 + 0 + sqrt(396) + sqrt(396))*5) + 4)**2. 6336 Simplify 0 + -5*sqrt(68)*1*-1 + 4 + ((sqrt(68) + (sqrt(68) - sqrt(68)*-2 - sqrt(68)) + -1 + sqrt(68))*-3)**2. -134*sqrt(17) + 9805 Simplify -4 + ((-4*(1*sqrt(126)*-2)/sqrt(2))**2 - (1*(sqrt(63) + sqrt(2268)) - 3*(sqrt(63) + 1))). -12*sqrt(7) + 4031 Simplify (-2 + sqrt(144)/(5*sqrt(60)/sqrt(5))*4 + ((sqrt(96) - (-2*sqrt(96) - sqrt(96)))*-5)/(sqrt(128)/sqrt(4)))**2. 368*sqrt(3)/5 + 25492/25 Simplify -2 + (3 + (4 + sqrt(847) + 0 + 4 + 3)*-3*5)**2. 53460*sqrt(7) + 216817 Simplify (3 + -2 + (-4*(-2*sqrt(275) + 4) - (1 + (0 + sqrt(275) - sqrt(275)) + 1 + 2*sqrt(275))) + 3)**2. -840*sqrt(11) + 10096 Simplify (-3 + sqrt(13)*3)*2*-2 - -6*(1 + 2*sqrt(13))**2*-5. -1578 - 132*sqrt(13) Simplify ((sqrt(144)/(3*sqrt(8)) - -2*sqrt(288))/((sqrt(294) + 2*(2*sqrt(294) + sqrt(294) + sqrt(294)))*6))**2 + 2. 857929/428652 Simplify (-5*6*(sqrt(88) + 3*(sqrt(88) - ((sqrt(88) - sqrt(88)*4 - sqrt(88)) + sqrt(88)))))/(2*(-3*sqrt(80)*4)/sqrt(10)). 65*sqrt(11)/4 Simplify (sqrt(216)*4)/(sqrt(3) + (sqrt(3) - sqrt(243)*-2))*-3*-6. 108*sqrt(2)/5 Simplify (-1*(5 + 5*(sqrt(17) - (sqrt(17) + sqrt(153)*1) - (sqrt(17) - (sqrt(17) - (sqrt(17) - (sqrt(17) + 5*sqrt(17)*1))) - sqrt(17))))*-5)**2*-5 + 5. -481245 - 18750*sqrt(17) Simplify (sqrt(336)/sqrt(432) + (sqrt(28) - (sqrt(168)/(sqrt(24)/sqrt(4)) + sqrt(28))))/((sqrt(256) + sqrt(256)*-6)*3). sqrt(7)/144 Simplify (-5*(-3 + sqrt(208) + -3 + sqrt(208) + sqrt(208)) + sqrt(208) + -1 + sqrt(208)*-4 + 0)**2. -4176*sqrt(13) + 68233 Simplify (sqrt(1584) - (4 + sqrt(1584)*4 + sqrt(1584))**2 - sqrt(1584)) + 3 - (5 + ((sqrt(396) + sqrt(396)*-2)*-4)**2). -45954 - 480*sqrt(11) Simplify (-3*(sqrt(85) + 3*(sqrt(85) + 2*sqrt(85) + sqrt(85)) + 2*sqrt(85)*-2 + sqrt(85)))/(6*3*sqrt(180)*-3). 5*sqrt(17)/54 Simplify (1 + (sqrt(396) - (4*1*sqrt(396))**2) - (4*(sqrt(121) + 2*sqrt(121) - sqrt(121) - sqrt(121)))/(sqrt(1100)*1 + sqrt(11))) + 1. -6334 + 62*sqrt(11)/11 Simplify ((sqrt(135)*2 + sqrt(165)/(-2*sqrt(11)))*2)/((sqrt(81) - (sqrt(81) + 1*sqrt(81)*-3))/sqrt(3)). 11*sqrt(5)/9 Simplify -1 + (sqrt(99)*-1 + 3 + (0 + sqrt(99) - sqrt(99))**2*5 + -3 - (3*-3*(sqrt(99)*-1 + 1 - sqrt(99)))**2). -32158 + 969*sqrt(11) Simplify (-1 + (sqrt(30)/sqrt(3)*-3)/(sqrt(45)/(sqrt(72)/sqrt(8) + sqrt(9) - sqrt(9))) + -1)**2. 12*sqrt(2) + 22 Simplify ((sqrt(1872) + 1 - sqrt(1872))**2*6 + (2*sqrt(1872))**2*-3 + 0 + ((sqrt(1872) - (sqrt(1872) + 0 + 1)) + (-1*sqrt(1872) + -5)**2)*-2)*-1. 240*sqrt(13) + 26250 Simplify (-4*2*(sqrt(152)*5 - sqrt(152) - sqrt(152)))/((sqrt(224)/sqrt(4)*-6)/sqrt(7)). 4*sqrt(19) Simplify ((sqrt(114) - (sqrt(114) + -1*sqrt(114))*5) + sqrt(114))/(sqrt(18)/(sqrt(3) + sqrt(12) + sqrt(3))) + -4*(-4*(1*sqrt(1900) + sqrt(19) + -1 + -1))**2. -147392 + 2824*sqrt(19) Simplify ((sqrt(48)/sqrt(3))/((sqrt(10)*-1)/sqrt(5)))**2 + (4*-1*sqrt(288) + sqrt(288) + -2*(sqrt(288) - (sqrt(288) + 1)))**2*5 + -4. -720*sqrt(2) + 12984 Simplify (-2*sqrt(209)*3)/(sqrt(55)/sqrt(5)*3 + sqrt(11)) - ((-3 + 1 + sqrt(76))**2 + -5 + -1*sqrt(1216)). -75 + 29*sqrt(19)/2 Simplify 0 + (3*(-2*sqrt(170) - sqrt(170)) - sqrt(170) - sqrt(170)*3*1)/(-3*-2*sqrt(90)*1). -13*sqrt(17)/18 Simplify 6*(0 + (-4*(sqrt(700) + 1 + sqrt(700)) + (sqrt(700) + -2)*-4 + (-3 + (sqrt(700)*1 + sqrt(700) - sqrt(700)))*-5)**2). -38760*sqrt(7) + 1215966 Simplify ((-4*(2 + sqrt(2736)) + ((sqrt(2736) - (sqrt(2736) + -1)) + sqrt(2736))*1 + 3)*-3*-6)**2. 93312*sqrt(19) + 7983360 Simplify 4*2*(sqrt(108) + (sqrt(108) - (sqrt(108)*2 + 4 - sqrt(108))))*-5*-1*-4. -960*sqrt(3) + 640 Simplify -1 + -5 + (sqrt(539) + -2)*6 + 3 + 6*(sqrt(539) + -1 - sqrt(539)). -21 + 42*sqrt(11) Simplify ((sqrt(567) + 2*sqrt(567))*5 + 1 + sqrt(567) + -1*sqrt(567) + 6*-5*(sqrt(567) - 1*sqrt(567)))**2*3. 810*sqrt(7) + 382728 Simplify (0 + 3*((sqrt(684) + sqrt(684) + 1)**2 + sqrt(684) + sqrt(684)) - 3*((4 + sqrt(684) + 3)**2 + sqrt(684)))*-3. -18036 + 486*sqrt(19) Simplify sqrt(170)/(sqrt(10)*-2) + sqrt(85)/(sqrt(5)*-5) - ((((sqrt(136) + 1*sqrt(136) - sqrt(136)) + sqrt(136))*-2 - sqrt(136))/(sqrt(1152)*1))**2. -425/144 - 7*sqrt(17)/10 Simplify (4*(-2 + sqrt(175)*-1 + -3 + -2*sqrt(175) + (sqrt(175) + -2 + sqrt(175) + sqrt(175) + 2 - 5*(0 + sqrt(175)))))**2. 4000*sqrt(7) + 70400 Simplify (0 + -5 + 5 + -3 + 5 + sqrt(475)*1 + 2)**2. 40*sqrt(19) + 491 Simplify -1*sqrt(17)*-5 + (5 + 3*sqrt(17))**2 + sqrt(17) + (sqrt(136) + sqrt(136) + -5*(sqrt(136) + sqrt(136) + sqrt(136)*-2))/(sqrt(72)/(sqrt(9)*1)). 38*sqrt(17) + 178 Simplify (((-1 + sqrt(19) + sqrt(19))*2 - (sqrt(19)*2*-6)**2) + (-5*(-3*sqrt(76) - sqrt(76)))/sqrt(4))*-2*3. -144*sqrt(19) + 16428 Simplify 1 + 5 + (sqrt(405)*2 + 5 - (sqrt(405) + (sqrt(405) - (sqrt(405)*2 + -2))**2) - ((2 + sqrt(405) + -2)**2 + -4)). -799 + 45*sqrt(5) Simplify (4*(sqrt(3267)*1 - sqrt(3267))*4)/((sqrt(900) -
{ "pile_set_name": "DM Mathematics" }
4399? 3, 92838133 What are the prime factors of 4654795617? 3, 19, 27221027 What are the prime factors of 840687751? 103, 8162017 What are the prime factors of 59573007? 3, 13, 53, 739 List the prime factors of 842114716. 2, 157, 1340947 What are the prime factors of 3110218340? 2, 5, 17, 2003, 4567 List the prime factors of 28270232. 2, 3533779 What are the prime factors of 4212948149? 32839, 128291 List the prime factors of 6344789590. 2, 5, 14867, 42677 List the prime factors of 470569259. 23, 41, 569, 877 List the prime factors of 1638725289. 3, 61, 1301, 6883 What are the prime factors of 22219672? 2, 877, 3167 List the prime factors of 2457292730. 2, 5, 109, 641, 3517 List the prime factors of 562297297. 197, 2854301 List the prime factors of 3909939444. 2, 3, 36203143 What are the prime factors of 51899859? 3, 11, 31, 1879 List the prime factors of 3629399722. 2, 13, 19, 283, 1997 List the prime factors of 869566084. 2, 19, 11441659 List the prime factors of 328489526. 2, 139, 1181617 What are the prime factors of 5361358395? 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5, 7, 19865903 What are the prime factors of 15060578? 2, 13, 19, 43, 709 List the prime factors of 257778043. 23, 11207741 What are the prime factors of 21557169? 3, 2395241 List the prime factors of 226608866. 2, 11, 839, 12277 List the prime factors of 917607445. 5, 61, 73, 41213 List the prime factors of 68719463. 241, 313, 911 What are the prime factors of 37515312? 2, 3, 9649 List the prime factors of 2851510023. 3, 71, 4462457 List the prime factors of 91027934. 2, 73, 151, 4129 List the prime factors of 83450097. 3, 739, 12547 List the prime factors of 485967470. 2, 5, 31, 1567637 What are the prime factors of 12648750? 2, 3, 5, 3373 What are the prime factors of 6066829974? 2, 3, 5381, 187909 List the prime factors of 85476741. 3, 7, 4070321 What are the prime factors of 62836320? 2, 3, 5, 109, 1201 List the prime factors of 402591250. 2, 5, 322073 List the prime factors of 41905170. 2, 3, 5, 17, 61, 449 What are the prime factors of 67118167? 109, 587, 1049 List the prime factors of 69941378. 2, 13, 2690053 List the prime factors of 6237125827. 5821, 1071487 List the prime factors of 626887754. 2, 241, 1300597 What are the prime factors of 479475458? 2, 7, 11, 131, 23767 What are the prime factors of 627749190? 2, 3, 5, 86111 What are the prime factors of 294403120? 2, 5, 11, 334549 What are the prime factors of 1653003393? 3, 29, 313, 60703 List the prime factors of 1280657932. 2, 1487, 215309 What are the prime factors of 1249218507? 3, 89, 4678721 What are the prime factors of 94421538? 2, 3, 21587 What are the prime factors of 703375496? 2, 2411, 36467 List the prime factors of 27231922. 2, 59, 230779 What are the prime factors of 33401537? 13, 47, 54667 What are the prime factors of 74163751? 3469, 21379 List the prime factors of 422136371. 1187, 355633 What are the prime factors of 213062913? 3, 7, 29, 38873 What are the prime factors of 2588280675? 3, 5, 31, 1113239 What are the prime factors of 385814673? 3, 23, 1863839 What are the prime factors of 3936727749? 3, 1312242583 List the prime factors of 77323732. 2, 19330933 List the prime factors of 45509660. 2, 5, 7, 61, 73 List the prime factors of 19757599. 139, 307, 463 List the prime factors of 98366126. 2, 49183063 What are the prime factors of 89547294? 2, 3, 191, 78139 What are the prime factors of 1097355290? 2, 5, 109735529 List the prime factors of 289005245. 5, 57801049 List the prime factors of 758768792. 2, 59, 149, 10789 List the prime factors of 31333062. 2, 3, 463, 11279 What are the prime factors of 2031756? 2, 3, 169313 What are the prime factors of 231290613? 3, 8566319 List the prime factors of 18850799. 11, 1713709 What are the prime factors of 10278904? 2, 1284863 What are the prime factors of 5209138585? 5, 7, 148832531 List the prime factors of 3154475545. 5, 13, 17, 2854729 List the prime factors of 2651000662. 2, 677, 1957903 What are the prime factors of 219395731? 219395731 List the prime factors of 897525457. 23059, 38923 What are the prime factors of 213272839? 13, 31, 529213 What are the prime factors of 1013594109? 3, 11, 29, 1059137 List the prime factors of 256159356. 2, 3, 59, 361807 What are the prime factors of 102076694? 2, 29, 1759943 What are the prime factors of 303080097? 3, 17, 5942747 What are the prime factors of 3924591639? 3, 43, 30423191 List the prime factors of 67531327. 17, 37, 101, 1063 List the prime factors of 58715329. 58715329 What are the prime factors of 390285380? 2, 5, 19514269 List the prime factors of 780107437. 780107437 What are the prime factors of 3911584451? 17, 11273, 20411 What are the prime factors of 25779325? 5, 11, 13, 7211 List the prime factors of 2324759016. 2, 3, 29, 101, 33071 List the prime factors of 243212662. 2, 7, 11, 143573 List the prime factors of 178345424. 2, 43, 53, 67, 73 What are the prime factors of 131441979? 3, 43813993 What are the prime factors of 48347238? 2, 3, 8057873 What are the prime factors of 301648113? 3, 13, 263, 9803 What are the prime factors of 71162640? 2, 3, 5, 98837 What are the prime factors of 901730148? 2, 3, 11, 509, 13421 What are the prime factors of 257974227? 3, 7, 29, 541 What are the prime factors of 5967720393? 3, 19, 104696849 What are the prime factors of 88803642? 2, 3, 14800607 List the prime factors of 679575799. 7, 17, 5710721 List the prime factors of 125830215. 3, 5, 7, 53, 7537 List the prime factors of 104997936. 2, 3, 2187457 List the prime factors of 184230818. 2, 349, 263941 What are the prime factors of 69021306? 2, 3, 83, 46199 What are the prime factors of 106158750? 2, 3, 5, 28309 What are the prime factors of 88159817? 887, 99391 What are the prime factors of 129067262? 2, 41, 971, 1621 List the prime factors of 125406259. 11, 79, 144311 What are the prime factors of 51894032? 2, 3243377 What are the prime factors of 62506724? 2, 7, 59, 157, 241 List the prime factors of 492092017. 1543, 318919 List the prime factors of 182567725. 5, 7302709 What are the prime factors of 7573434? 2, 3, 11, 114749 List the prime factors of 144052355. 5, 257, 112103 List the prime factors of 1044128323. 7, 3853, 38713 What are the prime factors of 120980542? 2, 4957, 12203 What are the prime factors of 1438409544? 2, 3, 11, 13, 113, 3709 What are the prime factors of 212388940? 2, 5, 641, 16567 What are the prime factors of 1072828698? 2, 3, 23, 7774121 What are the prime factors of 24496596? 2, 3, 251, 2711 What are the prime factors of 413855332? 2, 11, 31, 27583 What are the prime factors of 782282175? 3, 5, 577, 18077 List the prime factors of 1673318641. 43, 3049, 12763 What are the prime factors of 121697422? 2, 7, 11, 83, 9521 List the prime factors of 1325408623. 7, 11, 17213099 List the prime factors of 294597886. 2, 11, 71, 188603 List the prime factors of 55764785. 5, 11152957 What are the prime factors of 90963602? 2, 19, 79, 157, 193 List the prime factors of 81020408. 2, 7, 19, 76147 What are the prime factors of 28005786? 2, 3, 127, 12251 List the prime factors of 1580223451. 281, 5623571 List the prime factors of 686852134. 2, 10613, 32359 List the prime factors of 865085288. 2, 7589, 14249 List th
{ "pile_set_name": "DM Mathematics" }
- 29 = 0. Solve 2*m = c*m + 25 for m. -5 Suppose 3473*f = 3467*f + 18. Let x(l) = l**3 - 7*l**2 - l + 8. Let t be x(7). Solve -4*o - f = t for o. -1 Let l be (-3)/(-12)*14*(-48)/(-14). Let g be 8/2 + l + -6. Solve 7*r + g = 2*r for r. -2 Let h be (-2)/3 + 230/3. Suppose -h = 4*g - 6*g. Solve 13 = 5*n + g for n. -5 Let d(r) = r**3 - 3*r**2 - 2*r - 5. Let x be d(4). Suppose -4*y = 2*c - 18, 0 = -4*c - x*y + 15 + 6. Solve -3*s - c = 3 for s. -2 Let o(m) = 2*m**2 - 2*m - 18. Let l be o(-3). Solve 7*h - l = 22 for h. 4 Suppose 0 = -12*k - 9 + 9. Solve k = -13*q + 18*q + 5 for q. -1 Suppose -17 = -3*c + 1. Solve 2*f + 16 = -c*f for f. -2 Let n(y) = 2*y**3 + 7*y**2 - 6*y - 6. Let a be n(-4). Suppose -z + 12 = a*z. Solve 11 = -z*v - 5 for v. -4 Let c(h) = h**3 - 8*h**2 + 11*h - 15. Let q be c(7). Solve 5*p + 2 + q = 0 for p. -3 Suppose 2*m + 3*w + 4 = 12, -m = -2*w - 18. Solve -b = b + m for b. -5 Suppose 14*b = 15*b - 4. Let y(k) = k**2 + 4*k - 5. Let p be y(-5). Suppose p = 4*u + 2*n - 20, 0*n + 3*n - 21 = -3*u. Solve 3*l = b*l - u for l. 3 Suppose 4*a + 2*h - 4 = 0, 0 - 2 = 5*a - h. Solve a = -6*k + 2 - 20 for k. -3 Let d = 40 + -91. Let r be 4/(-6) + d/(-9). Suppose -p + r = -2*n + n, 3*p - 4*n = 20. Solve -2*g + p*g = 10 for g. -5 Let n(u) = u - 1. Let f(b) = 2*b - 23. Let p(y) = -f(y) + 3*n(y). Let z be p(0). Solve 3*k = -k + z for k. 5 Let x = -465 + 467. Solve 3*j = -x*j for j. 0 Suppose 3*v - 12 = v. Let f be (-308)/(-693)*18/4. Suppose j = -4*j. Solve -v = -j*t - f*t for t. 3 Let u = -93 - -76. Let a = -3 - u. Solve 5*h + 1 = -a for h. -3 Let j = 4 - 1. Suppose 2*s = 3*t + 9, -2*t = -2*s + 6*s + 6. Solve j*d - 6 - 3 = s for d. 3 Let j(w) = -2*w - 5*w**2 + 0*w**3 - 5 + 4 - w**3. Let n be j(-5). Let r(a) = 2*a + 46. Let s be r(-23). Solve s = -g - 4 + n for g. 5 Let o = 1396 + -1386. Solve o*s - 23 = -3 for s. 2 Suppose 5*u = -0*u - 10, -5*u - 102 = 2*p. Let y = 53 + p. Solve 4*o - 5 = y for o. 3 Let g be 8/(-12) + (-2)/(-3). Suppose 2*l - l = 2. Suppose l = 5*k - 8. Solve g*b - k*b + 4 = 0 for b. 2 Let u(h) = -h**2 + 8*h - 15. Let z be u(5). Suppose -5*g - 3*t = -5, z = -3*g + 5*t - 2 + 5. Solve s - g = -4 for s. -3 Let r(m) = m**2 - 9*m + 2. Suppose 3 + 6 = n. Let w be r(n). Suppose -w*d = 2*d. Solve 0 = 2*v - 4 - d for v. 2 Let z(o) = 4*o**2 + 1. Let u(x) = -x**2 + 2*x - 1. Let h be u(2). Let q be z(h). Suppose -g - q*d = -6*g + 35, 0 = 4*g - 5*d - 31. Solve -g = 5*t + 6 for t. -2 Let k be (-1 + (-2)/(-3))*-9. Let n be 13/k + 8/(-24). Solve -4*v + n = -0 for v. 1 Let o(d) = 4 + 11*d + 0 - 4*d - 3. Let f be o(0). Solve -1 - f = z for z. -2 Let t(g) = g**3 - 15*g**2 + 14*g. Let h be t(14). Suppose -17*q + 12*q + 40 = h. Solve 0*u = -2*u + q for u. 4 Let q be 60/(-30) - (-1 - 156). Solve q*c - 153*c = -6 for c. -3 Let k = 9 + -9. Let n = 4 + -2. Suppose -n*r = r. Solve k = 5*x - r*x + 10 for x. -2 Let f be 20/6*(-18)/(-10). Let k(y) = -5*y**2 - 1. Let t be k(1). Let w = t + 6. Solve w = f*p - 4*p + 10 for p. -5 Suppose 10*c + 3*j = 7*c + 15, 5*c = -3*j + 19. Solve 2 = c*h - 2 for h. 2 Suppose 0 = -3*v - 8 + 17. Solve v*t = 5 - 2 for t. 1 Suppose 0 = 2*o + 3*i - 9, -3*o - 3*i + 5 + 4 = 0. Suppose -7*v = -36 + 1. Solve -5 = v*x - o for x. -1 Let w be -1*3/(3/(-4)). Suppose 0 = -13*y + 4*y - 108. Let x be (-7)/((-21)/y) + w. Solve x*f = 5*f for f. 0 Let t(z) = 2*z - 2. Suppose 3*n + 4*u - 12 = 3*u, 0 = -3*n - 2*u + 9. Let l be t(n). Suppose -2*y + 4 = -l. Solve 2 = 4*k + y for k. -1 Let t(d) = -7*d - 23. Let s be t(-4). Solve -5*g + 0*g = s for g. -1 Let y = -188 + 203. Solve 10*o + 5 = -y for o. -2 Let y be -40 + 1 + (1 - -1)/2. Let o = y - -48. Solve 5*g - 5 = o for g. 3 Let y(p) = -p**3 - p + 2. Let d be y(0). Suppose 7*k - 20 = d*k. Suppose 3*o - k = 5. Solve o*b - 2*b = 0 for b. 0 Let n = -25 - -25. Suppose x + p - 2 = n, -3*x - 2*x = -p - 34. Suppose x = 2*g - 0. Solve 8*b = g*b for b. 0 Let l = -1247 + 1272. Solve 0 = l*m - 30*m for m. 0 Let z(r) = -4*r**3 - r + 1. Let t be z(-2). Let n be (-41)/(-4) - 3/(-4). Let w be 8/(-44) + t/n. Solve -2*l = w*l for l. 0 Let w(h) = -3*h**2 + h**3 + 120 + 0*h**3 - 117. Let p be w(3). Solve -p*v = -2*v + 5 for v. -5 Suppose 0 = -4*d + a - 2*a + 17, d - 5*a = -1. Solve -t + d = t for t. 2 Let w(p) = p - 3. Let g be w(6). Let o = 109 - 101. Suppose 7 = 5*j + k - g*k, 4*j - o = 4*k. Solve 5*u + 16 = j for u. -3 Suppose 2*m - 2*x = -0*m - 142, -275 = 4*m + 5*x. Let o be (-4)/6 + m/(-15). Solve -4*s + o = -0*s for s. 1 Let l = 36 - 50. Suppose -3*r + 20 + 1 = 0. Let a = r - l. Solve 3*x + a = 6 for x. -5 Let h(c) be the third derivative of c**6/120 - 7*c**5/60 - c**4/24 + 7*c**3/6 + 16*c**2. Let q be h(7). Solve d + d + 2 = q for d. -1 Let n be (6/1)/((-3)/(-11)). Suppose -14 = 2*r - n. Solve r*p + 5 = 17 for p. 3 Suppose 0 = 3*c - 5*j + 5, -2*j - 4 = -0. Let u be 2/(-10) + 62/10 + c. Solve 0 = -i + u - 5 for i. -4 Let o(j) = j**3 + 13*j**2 + 12*j + 2. Let x be o(-12). Let w be (-7 - -13)*x/(-3). Let d(b) = b**2 + 2*b - 8. Let m be d(w). Solve -g - 4 = -m*g for g. -4 Suppose 6*g - 10*g = -8. Suppose -4 = -3*y + 2*h, -g*y + 3*h - 6 = 6*h. Solve 0 = -2*v - y - 2 for v. -1 Suppose o + 39 = 5*c, -2*o - 2*o + 2*c = 228. Let u = o + 59. Solve 5*p - 11 + 6 = u for p. 1 Let w = 7 + -4. Suppose -3*l + w = 3*h, -4*l - 2*h - 1 = -11. Suppose 8 = 5*z - 0*z - 2*k, -14 = -5*z - l*k. Solve 0 = j - z*j for j. 0 Let v be ((-186)/12)/(16/(-32)). Solve -v*m + 36*m - 10 = 0 for m. 2 Suppose -4*q - o + 5*o + 56 = 0, -4*q - 4*o + 80 = 0. Let z = q - 13. Solve 0 = z*s + 1 + 7 for s. -2 Let q(m) = -m**2 + m + m**2 + 2 + m**2. Let u be q(-3). Suppose 5*h - u = 17. Solve 1 = -4*f + h for f. 1 Suppose c + c = 0. Suppose 2*t - t - 5 = c. Suppose 6*s - 4*m = 9*s + 6, 0 = 2*s + m - 1. Solve 0 = -s*i + i + t for i. 5 Let a(d) = -d**2 + d + 2. Let t be a(0). Suppose -3*z - 5*h = -15, 0 = -3*z + h - 3*h + 24. Let i be (9/(-6))/((-5)/z). Solve t*s = -11 + i for s. -4 Let z(o) = o**2 + 3*o + 4. Let t be z(-3). Suppose n = -t*n. Suppose -1 = 5*x - 21. Solve n*q = 4*q + x for q. -1 Suppose 176*c - 90 = 164*c - 18. Let u(i) = i**3 - 5*i**2 - 3*i - 3. Let q be u(6). Solve -c*t - q = -t for t. -3 Let s = -149 + 154. Solve s*a + 12 = 2*a for a. -4 Let k be (-1*38)/2 + -2. Let d = k - -22. Solve 3*r = d - 7 for r. -2 Let a(b) = 3*b**2 - 4*b + 2. Let d be a(1). Suppose -3*o + 5*w + 1 = 0, -4 = -o - 3*w + d. Solve 0 = -3*h + o + 7 for h. 3 Suppose 21*x = 16*x. Suppose x = 5*r + 20, -r + 24 = 2*f - 5*r. Solve -f*p = p + 20 for p. -4 Let v(j) = -j**3 + 4*j**2 - 2*j - 2. Suppose 0 = -3*b + 7 + 11. Let y be (3 + 0)*b/9. Let h be v(y). Solve 0 = -5*p + h - 17 for p. -3 Let w = -25 + 23. Let h(t) = 4*t + 24. Let z(j) = j + 1. Let g(s) = w*z(s) + h(s). Let c be g(-9). Solve 0 = -3*d + 5*d - c for d. 2 Let d(p) be the first derivative of 5 + p**2 - 1/4*p**4 + 2/3*p**3 + p. Let y be d(-1). Solve -y = 2*l - 0*l for l. -1 Let k = 1931 + -1877. Solve -56*l = -k*l - 6 for l. 3 Let c(g) = -g - 1. Let a be c(-10). Suppose 2*t - 3*m - 9 = 0, -4*m - 16 + 4 = 4*t. Solve -4*z - a + 21 = t for z. 3 Let n(i) = 2*i + 9. Let y(c) be the second derivative of c**3/2 + c**2/2 + 9*c. Let o be y(2). Let x be n(o). Solve -5*s + x = 8 for s. 3 Suppose -40 = -5*b + 3*t, -4*b + 3*t = -32 - 3. Let g = -3 - -6. Solve -b + g = -i for i. 2 Let q = 2 + 3. Suppose 12*l - 10 = 13*l. Let f = l - -38. Solve -q*a - 3 = -f for a. 5 Let k(d) be the second derivative of d**4/12 - 5*d**3/3 - 3*d**2 + 8*d. Let w be k(10). Let a be (4/w)/((-6)/27). Solve a*b = 5*b + 8 for b. -4 Let c(w) = w**3 - 7*w**2 + 4*w - 19. Let r be c(7). Solve r*v = 12*v + 15 for v. -5 Suppose 2*m = 13 - 9. Let r be m*1/4*4. Solve r*s + 3 = 5*s for s. 1 Suppose s - 69 + 60 = 0. Solve 8*l - s = 5*l for l. 3 Let r(o) = 4*o + 16. Let v be r(-4). Suppose -4*a = c - v*a - 29, -70 = -5*c - 5*a. Solve -3*q + c - 24 = 0 for q. -5 Suppose -2*c + 6*c - 12 = 0. Suppose 2*z + 9 = 2*p + z, c = -3*z. Solve p*r + 2 = -2 for r. -1 Let f(o) = o**3 + o**2 - 4*o + 4. Let x be f(3). Let u be 3*(x/(-12) - -2). Let b be 18/((u - -3) + 0). Solve 2*i - b - 1 = 0 for i. 5 Let n = 9 + -9. Suppose n = -6*c + 7*c - 12. Solve 5*y - 2*y = -c for y. -4 Suppose 7*o - 16 = 8*o. Let j(a) = 3*a + 50. Let d be j(o). Solve 3*k - d = 7 for k. 3 Let n be (5
{ "pile_set_name": "DM Mathematics" }
)). -14*j**5 Expand (4*v - 3*v + v)*(134*v**2 - 9*v**2 - 65*v**2) - 2*v**3 + 0 + 0 - v**2. 118*v**3 - v**2 Expand (5*b - 3*b + 3*b)*(-5 - 2*b + 5) + (3*b + 4*b - 6*b)*(-3*b + 2*b - b) + 4 + b**2 - 4. -11*b**2 Expand (-1 - 4 + 3)*(2 + s - 2). -2*s Expand (2 + 5 - 6)*(-7 - 15*j**5 + 7)*(2 - 1 - 2). 15*j**5 Expand (2 + 3 - 1)*(u - u + 2*u). 8*u Expand (2*d**2 - 2*d**2 - 2*d**2)*(-2*d - 2 + 2 - 2*d**2). 4*d**4 + 4*d**3 Expand (13 - 106 - 19)*(0 + 0 + 2*y). -224*y Expand (43 - 11*f - 43)*(-1 + 0 + 3)*(4*f + 2*f - 7*f)*(-3 + 4 - 3). -44*f**2 Expand -3*x**5 + 4*x**5 - 3*x**5 + (x - x + 2*x**2)*(-4*x**3 - 2*x**3 + 4*x**3). -6*x**5 Expand 2*d**2 - 3*d**2 + 3*d**2 - 187 - 2*d - d**2 + 189 + 0*d + (4*d**2 - 5*d**2 + 3*d**2)*(2 + 4 - 5) - d**2 + 0*d**2 + 2*d**2. 4*d**2 - 2*d + 2 Expand 2*x**5 + 5 - 2 - 1 + (-2*x**4 + x**3 - x**3)*(2*x - 7*x + 4*x) - 1 + 1 + x**5 + 0*x**5 - 4*x**5 - 5*x**5. -4*x**5 + 2 Expand (0 + 0 + r**3)*(2*r**2 - 3*r**2 + 2*r**2) + ((-r**2 - r + r)*(3*r**2 + 0*r**2 - 5*r**2) + 4*r**4 - r**4 - 2*r**4)*(2*r + 0*r + 2*r). 13*r**5 Expand (-2 + 4 - 1)*(-7 + 7 - 3*m). -3*m Expand (0*p - 3*p + 2*p)*((3*p**2 + 2*p**2 - 3*p**2)*(5 - 5 - 2*p**2) - 7*p**4 - 10 + 10). 11*p**5 Expand (u + 0*u + 0*u + 0*u - u + 0*u + (u + 2*u - 5*u)*(-3 + 3 + 1) + 4*u - 5*u + 2*u + 0*u + u + u + 0 + 0 + 4*u)*(4 + 2*u**4 - 4). 10*u**5 Expand (-9 + u**2 + 9)*(6*u - 2*u + 0*u - 2). 4*u**3 - 2*u**2 Expand (4*y - 4*y - 8*y)*(2 - 4 + 0). 16*y Expand 3*r**3 + 0*r**3 + 0*r**3 + (3*r**2 + 4*r**2 - 5*r**2)*(-2 + 2 - r) - 1 + r**3 + 1. 2*r**3 Expand (-2*i**3 + i**3 + 6*i**3)*(0*i - 2*i + 5*i). 15*i**4 Expand (-3*v + 6*v - 4*v)*(-4*v**2 + 5*v**2 - 4*v**2) + (4 - 5 + 3)*(-3*v**3 + 6*v**3 - v**3). 7*v**3 Expand -15*w - 10*w - 53*w + (w - 2 + 2)*(-4 + 1 + 5). -76*w Expand (-a**2 + 0*a**4 - a**4 - 2*a**2)*(-1 + 1 + 2)*(5 - 2 + 3). -12*a**4 - 36*a**2 Expand (0 - 3 + 1)*(-3 - x + 3) + (-4*x - x + 2*x)*((-5 + 3 + 3)*(-1 - 2 + 1) - 4 - 3 + 6 - 7 + 4 + 2). 14*x Expand 0*v + 3*v - 23 - 2*v + (4 - 4 + v)*(-3 - 1 + 2) - 2*v + 3*v - 2*v + 2 - 2*v - 2 - 1 + 2*v + 1. -2*v - 23 Expand (16*m + 11*m - 6*m)*(-m**2 - 2*m**2 + m**2). -42*m**3 Expand (3 + 1 + 1)*(s**2 + s**4 - s**2 - 2*s**4 + 0*s + 0*s + (-s**3 + 4*s - 4*s)*(-3*s - 2*s + 6*s) + 0*s**4 - 6*s**4 + 4*s**4 - s**4 + s**4 + s**4). -15*s**4 Expand -2*p**2 + p**2 - p**2 + (0 - p + 0)*(-6*p + 0*p + 5*p) + 2*p**2 - 4*p + 4*p + (-1 + 0 + 0)*(-2*p**2 - 3 + 3). 3*p**2 Expand 2*k**5 - 2*k**5 + 3*k + 2*k**5 + (3 - 3 - 4*k**2)*(-k**3 - k**3 + 3*k**3). -2*k**5 + 3*k Expand (-k - 1 + 3*k + 4)*(-2 + 2 - 1)*(2 - 4 + 1). 2*k + 3 Expand 5*p - 5*p - 2*p + (-27*p + 70 - 70)*(5 - 2 - 2) - p + 2*p - 3*p. -31*p Expand ((-2*c + c + 0*c)*(3 - 4 - 1) + c - 1 + 1)*(-7*c**2 + 4*c**2 - 2*c**2) + 2*c**3 + 3*c - 3*c. -13*c**3 Expand (3 + 2 - 4)*(-x - 11 + 11 + (-4*x - x + 6*x)*(-1 + 2 + 1)). x Expand (4*k - k - 2*k)*(2*k - 5*k - k) + (-2*k + k + 2*k)*(-2 + 2 - 2*k). -6*k**2 Expand (r + 2*r + 4*r)*(-2*r**2 + 4*r**2 - 4*r**2). -14*r**3 Expand -4*m + 0*m - m - 1 + m + 1 + m - 4*m + m + (-2*m + 3 - 3)*(0 + 4 - 2) - m - 4 + 4. -11*m Expand (3 + 3 - 4)*(2*w + 8 - 8)*(2 - 3 - 1). -8*w Expand (6*g**3 - 8*g**3 + g**3 + (-2*g + 1 - 1)*(2*g**2 + g**2 - 4*g**2))*(2*g + 2 - 2). 2*g**4 Expand (3*y**3 - 2*y**3 + 0*y**3)*(-2 - 8*y**2 + 2). -8*y**5 Expand (4 - 3*c**3 - 4)*(0 + 0 + 3*c**2 + (-1 - 3 + 3)*(0*c + 2*c**2 + 0*c)). -3*c**5 Expand (1 + 3 - 3)*((-d + 4*d - 5*d)*(-2 - 4 - 3) - 4*d + 5*d + 0*d + (0 + 2 - 4)*(2 - 2 + 2*d) - 2*d + 2 - 2 - 2*d - 4 + 4). 11*d Expand (1 + 69*t - 67*t + 2)*(-2*t + 3*t + 0*t). 2*t**2 + 3*t Expand 2 - 8 - 2*h**2 + h**2 + (-h + 2 - 2)*(-2*h - 2*h + 2*h). h**2 - 6 Expand (15 - 23 - 94)*(-2*a + 2 - 2 + (-3 + 3 + 1)*(0*a + 0*a - 2*a)). 408*a Expand (2*l**2 + 6 - 2*l**2 + l**2)*(3*l**2 - 2*l**2 + 5*l**2). 6*l**4 + 36*l**2 Expand (d - 3*d + d)*(3*d - 5*d + 9*d + (-1 + 3 - 1)*(2*d - 2 + 2)). -9*d**2 Expand (-u**2 + 2*u - 2*u + (-4 - 2*u + 4)*(3*u - 3*u - u) + 0*u**2 + 0*u**2 + 2*u**2)*(9*u**2 - 4*u + 4*u). 27*u**4 Expand (9*y**3 + 3*y**3 + 4*y**3)*(-2*y + 0 + 0). -32*y**4 Expand (2*y - y - 3*y + (0 + 3 - 5)*(2*y - 4*y + 0*y) + 2*y + 1 - 1 + y - 5*y + 3*y + 0*y - 2*y + 0*y + 14*y - 12*y - 15*y)*(0*y**2 + 2*y**2 + y**2). -36*y**3 Expand (2*m**3 + m**3 - 4*m**3)*(1 + 2*m**2 - 1) + (6*m**5 - 2*m**5 + m**5)*(-5 - 1 + 1). -27*m**5 Expand (-k + 3*k - k)*(-4 + 4 + k) - 24*k**2 + 9*k**2 + 13*k**2 + 3. -k**2 + 3 Expand (1 + 1 + 2)*(4*d - 3*d - 4*d)*(-1 + 3 - 1)*(-1 - 1 + 1). 12*d Expand ((-1 + 2 + 0)*(-2*r - 1 + 1) + 0*r + 3*r - 2*r)*(-4*r - 3*r + 4*r). 3*r**2 Expand (0*a**2 + a**2 + a**2)*(37*a + 12*a**2 - 37*a). 24*a**4 Expand (-2*h + 2 - 2)*((-2 - 4 + 0)*(3*h + 0*h - 4*h) + 5 - h - 5 + 3*h + 0*h - 4*h). -8*h**2 Expand (-3*x**2 + 6*x**2 - 2*x**2)*(4 + 8*x - 4). 8*x**3 Expand (0 - 5 + 4 + 1 + 2 - 1 + (1 - 2 - 1)*(0 - 2 + 0) - 5 - 1 - 2 - 5 + 1 + 3)*(3*g**3 - 5*g**3 + 3*g**3). -4*g**3 Expand 168 - u**2 - 168 - 13*u**3 + (0*u + 3*u - 5*u)*(3 - 3 + u**2). -15*u**3 - u**2 Expand (-1 + 2 + 0)*(-1 + 0 + 3)*(-7*m + 3*m - 4*m). -16*m Expand (0 + 1 - 3 + (-4 - 3 + 5)*(1 - 4 + 1) - 2 - 1 + 2)*(-21 + h + 21)*(0 - 2*h + 0). -2*h**2 Expand (-5 + 0 - 5)*(2*b - b + 0*b) - b + b + 2*b + (2 - 2 - 1)*(0*b + 0*b + b) + 11*b - 4*b - 3*b - 2*b + b + 0*b. -6*b Expand (-4*p**3 + p**3 + 5*p**3)*(5 - 3 - 4) + 2*p - 3*p**3 - 2*p + (0*p + 0*p - p**3)*(4 - 5 + 3) - 2*p**3 - p**3 + p**3 - p**2 - 2*p**3 + p**2. -13*p**3 Expand (-2 - 2 + 2)*(-2*o**2 - 2*o**2 + 3*o**2) - 7*o**2 - 3*o**2 + 3*o**2 + 0*o**2 + o**2 + o**2 + (0*o + 3*o - 2*o)*(2*o - 3*o + 3*o) - 2*o**2 - 2 + 2. -3*o**2 Expand (-10*d**3 + 4*d**3 + d**3)*(-2*d**2 + 3*d - 3*d). 10*d**5 Expand (-2 - 4 + 1)*(4 + 1 - 3)*(-3*i + 2*i + 3*i)*(-i + 0*i - i). 40*i**2 Expand (-y + y + 12*y**3)*(0 + 0 - 1)*(-1 + 0 + 0). 12*y**3 Expand (-h + 2*h - 3*h)*(3*h - h - 3*h) + (-2 + 2 - h)*(3*h - 4*h + 0*h). 3*h**2 Expand 0*i**5 - 2*i**5 - 2*i**5 + 0*i + 2*i**5 + 0*i + (-3 + 3*i**2 + 3)*(2*i**3 + 0 + 0). 4*i**5 Expand (3*s**2 + 6 - 6)*(2*s**2 + 4*s**2 - 5*s**2) + 0*s**4 - s**4 + 0*s**4 + (s - s + 2*s)*(2*s**3 - s**3 + s**3) + 3 + 2*s**4 - 3. 8*s**4 Expand 2*n**3 + 16 - 16 + (-5 + 0 + 2)*(-1 + 1 + n**3 + (2 + 4 - 4)*(-2*n**3 - n + n) - n**3 - 2 + 2). 14*n**3 Expand (-4 + 2 + 4)*(-6 + 3 + 0)*(-3 + h + 2 + 0). -6*h + 6 Expand (-2 + 0 + 1)*(2*m - m - 2*m) + 4*m + 5 - 5 + (-2 + 2 + 2)*(0*m - m + 6*m). 15*m Expand (-2*x + 4*x + 0*x)*(41*x + 68 - 68). 82*x**2 Expand (-3*v + 2*v**2 + 3*v)*(-5*v - v + v) - 5*v**2 + 5*v**2 + v**3 + (3*v + v - 2*v)*(0*v**2 - 2*v**2 + 0*v**2) + (0*v**2 - v**2 + 2*v**2)*(-2*v - 2 + 2). -15*v**3 Expand (0 + 3 - 2)*(-2*k**5 + 0*k**5 + k**5 + (k - 2 + 2)*(-k**4 - 2 + 2) - 2*k**5 + 0*k**3 + 0*k**3). -4*k**5 Expand -1 - r**3 + 1 + (-3*r + 6*r - r)*(2*r**2 + 1 - 1) + (6*r**2 + 0*r**2 + 0*r**2)*(r + 0*r - 3*r). -9*r**3 Expand (6 + 7 - 3)*(-2*d**2 + d**2 - d**2 - d**3). -10*d**3 - 20*d**2 Expand (v**2 - v**2 + 2*v**3)*(4 - 7 - 6). -18*v**3 Expand (-d**3 + 5*d - 5*d)*(0*d + 0*d - 3*d**2) + 5*d**5 + 0*d**5 - d**5. 7*d**5 Expand (5*k - 5*k + 3*k)*(2 + 0 - 3)*(-k**4 + k**4 + 4*k**4). -12*k**5 Expand (3*p - p - p + p - 2*p + 3*p + (0 - 4 + 5)*(-1 - 2*p + 1) - 3*p - p + 2*p)*(4*p + 0*p - 2*p + 4 - 2*p - 4 + (0*p + 3*p - 2*p)*(1 + 0 - 2)). p**2 Expand (2*a**2 + a - a)*(-3 + 4 - 2)*(-3 + 2 - 1)*(a**3 - a**3 - 3*a**3). -12*a**5 Expand (15*z - 55*z + 13*z - 64*z)*(-1 - 3 + 2). 182*z Expand 4*r**5 - 2*r**5 - 3*r**5 + 2*r**5 - 4*r**5 + 4*r**5 + (-5*r**5 + 3*r**5 + 4*r**5)*(0 + 2 + 0) + 3*r**3 - 2*r**5 - 4*r**3 + 3*r**5. 6*r**5 - r**3 Expand (-3*u + 0*u + 4*u)*(-2 + 3*u - 2 - u)*(0*u**3 - 5*u**3 + 2*u**3). -6*u**5 + 12*u**4 Expand -2 + 2 + 2*a**3 + (-3 + 2 - 1)*(3*a**2 - 4*a**2 + 2*a**3 - 6*a**3). 10*a**3 + 2*a**2 Expand (-1 + 1 + 3*m**2)*(0*m - m + 4*m + (2 - 2 + 2)*(0*m - 3*m + 5*m) - 4 + 4 + m + (-3 + 6 - 2)*(-4*m - 3*m + 5*m)) + m**3 + m**3 - 3*m**3. 17*m**3 Expand (0 + 0 + 2*v)*((-3*v + 5*v - v)*(-2 + 1 + 3) - 20 + 20 - 10*v). -16*v**2 Expand (5 + 21*t - 5)*(-2 + 4 - 4). -42*t Expand (1 + 0 - 2 + (4 + 0 - 2)*(3 - 7 + 2) - 4 - 3 + 5)*(5 - 5 - 2*t). 14*t Expand (2 - 2 - 2*r**2)*(1 - 1 - 2*r) + (6*r**2 - 5*r**2 - 2*r**2 + r)*(0*r + r + 0*r). 3*r**3 + r**2 Expand -2 + 2 + 3*j**3 + (1 - 1 - 6)*(-3*j**3 + 2*j**3 + 0*j**3). 9*j**3 Expand -3 + 3 - 3*q - 3*
{ "pile_set_name": "DM Mathematics" }
.15 What is the distance between 0.2454768153 and 0.0136? 0.2318768153 What is the distance between -5.31 and 2.50837523611? 7.81837523611 Add 0.3 and -137172478045567. -137172478045566.7 What is 4834205.8 + -9257? 4824948.8 Sum 3.449 and 22.0300235. 25.4790235 What is the difference between -31890752017 and 0.2? 31890752017.2 Calculate 2079810.917555 - 5. 2079805.917555 -0.06+-20755594297.7 -20755594297.76 What is 1380 minus 235570575? -235569195 22095863102+-4 22095863098 4 + 202636825408.4 202636825412.4 -1.636+8982860 8982858.364 Add together -237964850210 and 0.06. -237964850209.94 Subtract 1347.1725 from 5875.5. 4528.3275 Subtract 564640.542 from -7.341. -564647.883 What is 0.3 take away -8236529812027? 8236529812027.3 What is 0.33 less than 112395518353? 112395518352.67 Calculate -14150.808419 - -0.982. -14149.826419 What is -1.0947943 minus 1871.4? -1872.4947943 Add -3 and 10424123481.17. 10424123478.17 What is -114611599549 + -0.1? -114611599549.1 Subtract 29183147022.98 from -0.5. -29183147023.48 -0.28 + -2372422640548 -2372422640548.28 What is the difference between 57398737.909 and 4? 57398733.909 Subtract -135 from 98.98598709. 233.98598709 What is 6030 minus -1915465958? 1915471988 Calculate 0.1 - 61826865464. -61826865463.9 Calculate 0.035 + -5646203834850. -5646203834849.965 What is -1408194789664 - 0.5? -1408194789664.5 Calculate -607 - 524838664.18. -524839271.18 What is -0.58576591 take away 6958? -6958.58576591 What is -45694.3770064 plus -1? -45695.3770064 Subtract 239536312 from 471232. -239065080 What is 84600854 less than -0.141? -84600854.141 Work out -24905 - 2324826357. -2324851262 Add together 7 and -1366110.946226. -1366103.946226 Work out -4266014 - 788564. -5054578 209.1 + -51913.164123 -51704.064123 What is -1989011613213.73 + 0.3? -1989011613213.43 Subtract 4435 from 3502094.7661. 3497659.7661 What is the distance between -297216309978 and 837? 297216310815 What is the distance between -84508149 and 17226? 84525375 Calculate -226560076621 + 0.4. -226560076620.6 -0.4+414890081.16 414890080.76 Total of -179984229 and -1476357. -181460586 What is -4 less than -17.529608408461? -13.529608408461 Put together -278988751728 and 0. -278988751728 Subtract 311200729.58 from -2.222. -311200731.802 What is -307.961 take away -821507? 821199.039 What is -30479075 minus 95.02? -30479170.02 What is 325680 minus -29333.3? 355013.3 Work out 0.033574 - -1479716.33. 1479716.363574 What is 8333.06 + 695183? 703516.06 What is 0.1 less than 142687.752215? 142687.652215 Subtract -514 from 55846639.336. 55847153.336 What is 0.5 minus 340896014.64? -340896014.14 115927868.5 + -4301 115923567.5 Sum -0.86 and -570879828. -570879828.86 What is -205 minus -859420404783? 859420404578 Add together -0.2 and -6070008056405. -6070008056405.2 What is -1.6649983124108 less than 0.3? 1.9649983124108 What is the difference between -1488178.6974 and -0.304? 1488178.3934 What is 383051797323 less than 0.2664? -383051797322.7336 -69305234+3.113377 -69305230.886623 Calculate 452 + -1211703.299. -1211251.299 What is the distance between -23084169.956 and 0.05? 23084170.006 Sum -50680523 and 173089. -50507434 Work out 209941.482 - -1.2648. 209942.7468 What is 45162026871 less than -0.458? -45162026871.458 -148232030606 - -1.3 -148232030604.7 What is -0.4 less than -1266584331.3? -1266584330.9 Work out -8.68 - -34519130. 34519121.32 What is 9.351858017 less than -0.2? -9.551858017 What is -2625669762 less than -0.0029? 2625669761.9971 Calculate 0.03 + -10063249457. -10063249456.97 What is -0.9 + 6532438846? 6532438845.1 Work out -2470 - -0.007768342762. -2469.992231657238 Work out 652844939929 + -22.9. 652844939906.1 Work out -6974450 - -0.196402. -6974449.803598 -418+-79340.91366 -79758.91366 What is the distance between 58981 and 65552.706? 6571.706 Sum -2191357976 and -166. -2191358142 What is 4303719 - 146.293? 4303572.707 What is 13.5784 + -1195.02? -1181.4416 Add together -0.4 and 43213293990. 43213293989.6 Work out 0.01 + 70802619.02141. 70802619.03141 Calculate 204294804429381 + -0.1. 204294804429380.9 What is -19 less than -307223385? -307223366 What is 0.03 plus -12112325132.2? -12112325132.17 Put together 0.76338410223 and 0.4. 1.16338410223 What is -0.02 + -7209.995803? -7210.015803 Total of -12640613209 and 5171. -12640608038 What is the distance between 0.130867 and -775764072? 775764072.130867 -87625822388 - 0 -87625822388 Work out 231968 - 186.6475. 231781.3525 What is 3433499081 + 2355? 3433501436 2482+-0.0276817094 2481.9723182906 Calculate -10178705 + -1.800886. -10178706.800886 What is -159784 less than -0.0871621? 159783.9128379 What is -60.6 take away 830042.313? -830102.913 What is 2848 less than 34242.05? 31394.05 -50409589042689 - -0.2 -50409589042688.8 Put together -28263.8408 and 3.2977. -28260.5431 53.17 - -136236721 136236774.17 What is the distance between 0.5 and -100402802.716? 100402803.216 0.13 + -266898266957 -266898266956.87 What is -86.03 take away 1662836492? -1662836578.03 Calculate 18173332781651 + 0.8. 18173332781651.8 What is -162490559 take away 2578? -162493137 What is -5 take away -668737178265? 668737178260 What is -0.040421 - 73551110? -73551110.040421 What is 317 take away -2643546139? 2643546456 Calculate 6.198 - 5261877309. -5261877302.802 What is 12582 - 37938201? -37925619 Add -8.88960765 and 28678. 28669.11039235 Add together 0.9583 and 150279692. 150279692.9583 What is -0.5 - 378250407246? -378250407246.5 Subtract -4877931032198 from -4. 4877931032194 What is 1472283319092 less than 5? -1472283319087 Subtract -10791469.2 from -596. 10790873.2 Add -6 and -1271920268106. -1271920268112 Subtract 21261973980310 from 0.63. -21261973980309.37 Calculate -40696236 + 0.3845. -40696235.6155 Subtract 20 from -842535199796. -842535199816 -82582 - -11180407 11097825 Add together -625083116 and 0.172. -625083115.828 What is 803403 - 18213435? -17410032 Calculate -7179425 - 2666783.5. -9846208.5 Put together -20411.285 and 107.96. -20303.325 What is 19021 + 151153? 170174 37637689828.54 - 4 37637689824.54 What is -6218656889504 - 3? -6218656889507 What is 4099470 take away -585.85? 4100055.85 Calculate 24401200 - -864412. 25265612 Subtract 1323993601 from -33812. -1324027413 What is -155214906646 less than -70? 155214906576 5522.988+3534.139 9057.127 What is -2622473859171 - -0.5? -2622473859170.5 What is -258923790 minus 35011? -258958801 What is -0.0315 + -84276947098? -84276947098.0315 What is -1264707945838538 take away -5? -1264707945838533 Total of -112962.93 and -11.29. -112974.22 227578 - 12480203 -12252625 Calculate 0.001694222 + 27.25. 27.251694222 What is -261189010 less than 19267? 261208277 Calculate 80432529 + -3547. 80428982 What is 2108.7 plus 53.42928? 2162.12928 Calculate 4370309755545 + 65. 4370309755610 What is 0.099834 plus -7034955? -7034954.900166 Subtract 0.4 from -730195676.215. -730195676.615 What is -22880084 less than 56.83? 22880140.83 0.0240064+-191010 -191009.9759936 What is the difference between 5735393 and 335162? 5400231 What is -0.043 - 20912935.693741? -20912935.736741 Work out 0.45947989 + 0.44294. 0.90241989 Work out 483416 + 110262109. 110745525 Total of 449.802 and 30.8941. 480.6961 Add -204.489133459 and 1.2. -203.289133459 Work out -7278087751 + 0.8145. -7278087750.1855 Calculate -15725915 - 349.1. -15726264.1 What is the distance between -182 and -854358673? 854358491 What is 5287430142339 take away -8.4? 5287430142347.4 What is the difference between 401106391 and -53599? 401159990 Put together -0.19 and 0.30203780295. 0.11203780295 -0.132881 - 4892 -4892.132881 Calculate 395093536 - 13402. 395080134 -2792722 + -169922 -2962644 What is -85 - 243007593.4? -243007678.4 What is the difference between -79823.5 and 0.008358343? 79823.508358343 Add 459109961 and -0.058862. 459109960.941138 What is 2.8 - -6378131586314? 6378131586316.8 Work out -0.5 - -6399780821948. 6399780821947.5 Subtract 198809.347077473 from -0.3. -198809.647077473 What is 35.981 take away 186852372? -186852336.019 Add 50241236125 and -3193. 50241232932 What is 0.0105 less than -310877625? -310877625.0105 What is 6905511468.1 - 20? 6905511448.1 Calculate 19337422 - -237670. 19575092 11 - -3429757277695.
{ "pile_set_name": "DM Mathematics" }
, -3, -2, 0, 70 Put -2, 2, -8/7 in descending order. 2, -8/7, -2 Sort 1, 14, 35 in increasing order. 1, 14, 35 Sort 3067, 5, 2 in decreasing order. 3067, 5, 2 Sort 1/5, 12, -2 in decreasing order. 12, 1/5, -2 Sort 5, 4, -4, 8. -4, 4, 5, 8 Sort -30, 5, -4. -30, -4, 5 Sort -4, -1, 2 in increasing order. -4, -1, 2 Sort -13, 4, 5, -2, 3. -13, -2, 3, 4, 5 Sort 0, -3/7, 5.2, 4/5. -3/7, 0, 4/5, 5.2 Put -1, -0.2, 0.7 in decreasing order. 0.7, -0.2, -1 Put -0.3, 3/2, -13 in descending order. 3/2, -0.3, -13 Sort 1, -3, -5, -2 in increasing order. -5, -3, -2, 1 Put -13, 334, 5 in descending order. 334, 5, -13 Put 3, -3/10, 3/47 in decreasing order. 3, 3/47, -3/10 Sort -1, -389, 0, -3 in decreasing order. 0, -1, -3, -389 Sort -4/7, -7, -10, -1/4, 2. -10, -7, -4/7, -1/4, 2 Sort -0.1, 30, 15, 2, -3. -3, -0.1, 2, 15, 30 Sort 212, 4, 4/5 in decreasing order. 212, 4, 4/5 Sort -16, 1, 5, 18 in increasing order. -16, 1, 5, 18 Put -4, -168, 1, -5 in ascending order. -168, -5, -4, 1 Put -3, 3/4, 0.2, 1/8, -0.133 in ascending order. -3, -0.133, 1/8, 0.2, 3/4 Put -0.3, 0, 1, 2/371 in increasing order. -0.3, 0, 2/371, 1 Put 131, 3, 6 in descending order. 131, 6, 3 Sort 0, 24, 1, -1 in descending order. 24, 1, 0, -1 Sort -3, 0.01, -2/13, 5, -0.4 in decreasing order. 5, 0.01, -2/13, -0.4, -3 Put -0.1, -99, 3 in descending order. 3, -0.1, -99 Sort 4, 2/17, -2/23, -1/2 in increasing order. -1/2, -2/23, 2/17, 4 Put -0.3, 1, 1/4, -14 in decreasing order. 1, 1/4, -0.3, -14 Put 8, -5, -3, -4, 4 in decreasing order. 8, 4, -3, -4, -5 Sort 9, 1, -4/9, 1/4 in decreasing order. 9, 1, 1/4, -4/9 Sort 5, -52, -1. -52, -1, 5 Sort -2, 3, 7 in descending order. 7, 3, -2 Sort -4, 4, -1, 235, -5 in descending order. 235, 4, -1, -4, -5 Sort -4, 0, -46, -1 in ascending order. -46, -4, -1, 0 Sort -4, -3, 4, 48. -4, -3, 4, 48 Put 2/3, -1/7, -147, 16 in ascending order. -147, -1/7, 2/3, 16 Sort -2, -3, -11357 in descending order. -2, -3, -11357 Sort 0, 0.025, 0.21, -5 in decreasing order. 0.21, 0.025, 0, -5 Sort -1.7, -0.14, -4/3, -1/4, 4/3. -1.7, -4/3, -1/4, -0.14, 4/3 Sort 2, 252, 1, 4 in decreasing order. 252, 4, 2, 1 Sort 0, 4, 3, -4, 131 in increasing order. -4, 0, 3, 4, 131 Sort -3, -75, 3 in ascending order. -75, -3, 3 Put -1, 1, -6, 36 in descending order. 36, 1, -1, -6 Sort 5/7, 3, 2/3, 8, 1/7 in ascending order. 1/7, 2/3, 5/7, 3, 8 Sort 2/17, 0.24, 0.09, 0.3. 0.09, 2/17, 0.24, 0.3 Put -1, -3, 1, 20 in increasing order. -3, -1, 1, 20 Sort -10, 46, -2, -1 in ascending order. -10, -2, -1, 46 Sort -987, 2/5, -1/2. -987, -1/2, 2/5 Sort 5/8, -0.08, -15, 3/8 in ascending order. -15, -0.08, 3/8, 5/8 Sort -3, -1, 7, 5, 10 in decreasing order. 10, 7, 5, -1, -3 Put 1, 493, 0 in descending order. 493, 1, 0 Put -0.1, -0.15, 5, 3 in ascending order. -0.15, -0.1, 3, 5 Sort 4, 2, 57. 2, 4, 57 Put -4, 6, -5, 89 in increasing order. -5, -4, 6, 89 Put 3/2, 1.36, -5 in descending order. 3/2, 1.36, -5 Sort 3, 401, -7 in descending order. 401, 3, -7 Sort 4, 7/5, 8 in ascending order. 7/5, 4, 8 Put -18, 5, 1, -1, -3 in decreasing order. 5, 1, -1, -3, -18 Sort 0.2, 1/25, -2/5, 1/4 in ascending order. -2/5, 1/25, 0.2, 1/4 Put -0.03, 10, -5, -3 in decreasing order. 10, -0.03, -3, -5 Put 0, 3, 12, 2 in decreasing order. 12, 3, 2, 0 Put -14, -112, 4, -5 in descending order. 4, -5, -14, -112 Sort 1, -1/4, 60 in decreasing order. 60, 1, -1/4 Sort -225, 4, -4 in descending order. 4, -4, -225 Sort 5, 0.3, 0, 56, -0.4. -0.4, 0, 0.3, 5, 56 Sort 2, 2/3, 68, 0 in ascending order. 0, 2/3, 2, 68 Sort 0.4, -2/3, -0.2, 6 in descending order. 6, 0.4, -0.2, -2/3 Put -17, 2, 3, 13 in increasing order. -17, 2, 3, 13 Sort 3/7, 6, 2/9, -0.063 in decreasing order. 6, 3/7, 2/9, -0.063 Put -4, -2, 230, 5 in descending order. 230, 5, -2, -4 Put -10, 2, -1, 1.8 in descending order. 2, 1.8, -1, -10 Sort -0.9, 0, -0.2, 37, 2 in descending order. 37, 2, 0, -0.2, -0.9 Sort 3, -3, 101 in increasing order. -3, 3, 101 Sort 6, 3, -46 in decreasing order. 6, 3, -46 Put 1, -1/47, 0 in descending order. 1, 0, -1/47 Sort -1/5, -15, 3, -2/39 in decreasing order. 3, -2/39, -1/5, -15 Put 1, 4, -0.1, -280 in ascending order. -280, -0.1, 1, 4 Put -3/2, 8/3, 0.1 in ascending order. -3/2, 0.1, 8/3 Put -3, 9, -555 in ascending order. -555, -3, 9 Sort -1, 2, -65 in decreasing order. 2, -1, -65 Sort 47, 0, -1, -13, 1 in decreasing order. 47, 1, 0, -1, -13 Sort 16, 0.1, 5, 2/11. 0.1, 2/11, 5, 16 Put -0.2, 129, 0.4, 4/7 in decreasing order. 129, 4/7, 0.4, -0.2 Sort -3, -2, 384, -5 in ascending order. -5, -3, -2, 384 Sort 1, -152, 2, 3. -152, 1, 2, 3 Sort 11, -5, -40, 2 in decreasing order. 11, 2, -5, -40 Sort -3/5, -10, 5, -1/8, 1. -10, -3/5, -1/8, 1, 5 Sort -3, -2, 0, 5, 100 in decreasing order. 100, 5, 0, -2, -3 Put -2, -1, -28 in decreasing order. -1, -2, -28 Put 0.6, -3, -0.5, -6 in descending order. 0.6, -0.5, -3, -6 Put -209, 4, 3, 0 in ascending order. -209, 0, 3, 4 Put -3, -1, -43 in descending order. -1, -3, -43 Put -8, -2, 1 in descending order. 1, -2, -8 Sort 19, -2, -1, -5 in increasing order. -5, -2, -1, 19 Sort -0.02, -2/9, 0.12 in decreasing order. 0.12, -0.02, -2/9 Put 1, 0.3, 87, 6 in descending order. 87, 6, 1, 0.3 Put 2/5, -3, 4/9 in decreasing order. 4/9, 2/5, -3 Sort -2, 2, -26, -5 in ascending order. -26, -5, -2, 2 Put -89, -7, -4 in descending order. -4, -7, -89 Sort 2/39, -3, -1/4, 5, 3/8 in decreasing order. 5, 3/8, 2/39, -1/4, -3 Put 3, -2, 39 in ascending order. -2, 3, 39 Sort -11, -4, -0.11 in descending order. -0.11, -4, -11 Sort 0.1, 29, -1, -2/13, -3 in decreasing order. 29, 0.1, -2/13, -1, -3 Sort -3/5, -335, 5 in increasing order. -335, -3/5, 5 Sort 66, 4, 0.5, 2/5 in decreasing order. 66, 4, 0.5, 2/5 Sort -3, -10, 27, 3 in descending order. 27, 3, -3, -10 Sort 63, -2, -1 in increasing order. -2, -1, 63 Sort -5, -14, 3, -4, 11 in descending order. 11, 3, -4, -5, -14 Put 1, 0.4, 22, -1 in ascending order. -1, 0.4, 1, 22 Sort 8, 0.4, 0 in increasing order. 0, 0.4, 8 Sort -3, 169, 2, 4, -2. -3, -2, 2, 4, 169 Sort 8, 5, 52, 7 in increasing order. 5, 7, 8, 52 Put 2515, -1, 4, 0 in increasing order. -1, 0, 4, 2515 Put 4, -0.04, 0.2, 2/9 in decreasing order. 4, 2/9, 0.2, -0.04 Put 39, -1, 0, 2 in descending order. 39, 2, 0, -1 Put 4, -6, -1, 3 in increasing order. -6, -1, 3, 4 Put 5, -1, 4007 in descending order. 4007, 5, -1 Sort 2/15, 7, -2/17, -2, -0.07. -2, -2/17, -0.07, 2/15, 7 Sort -1, -5, 17, 5 in decreasing order. 17, 5, -1, -5 Sort -19/4, 4, -3/2. -19/4, -3/2, 4 Sort -4, 0, 3, 5, 8 in ascending order. -4, 0, 3, 5, 8 Put -4, -11/3, -0.3 in ascending order. -4, -11/3, -0.3 Put -7, -2, -29 in descending order. -2, -7, -29 Put 1, 2, -2 in increasing order. -2, 1, 2 Put -0.2, 3/5, 2, 1/16, -2/13 in decreasing order. 2, 3/5, 1/16, -2/13, -0.2 Sort 1, -2, 200 in descending order. 200, 1, -2 Sort 2, -25, 1, 17, 4. -25, 1, 2, 4, 17 Put 9, -5, 1, 0 in descending order. 9, 1, 0, -5 Put -5, 17, 6, 5 in decreasing order. 17, 6, 5, -5 Sort 2, -29, 4, 5 in increasing order. -29, 2, 4, 5 Put -0.3, -1/10, -0.4, -1.9, -1 in decreasing order. -1/10, -0.3, -0.4, -1, -1.9 Put -139, 4, 0 in decreasing order. 4, 0, -139 Sort 5, 0, -33. -33, 0, 5 Put -1, -18, -114 in increasing order. -114, -18, -1 Put -26, 10, 3 in increasing order. -26, 3, 10 Sort 31.8, -4, 4, 0.2 in decreasing order. 31.8, 4, 0.2, -4 Sort 0.3, -1, 0.5, -244.4 in decreasing order. 0.5, 0.3, -1, -244.4 Put 0, 15, -2, -0.5 in ascending order. -2, -0.5, 0, 15 Put 9, 3, -1, 258 in decreasing order. 258, 9, 3, -1 Sort 135, 5, 0, -2 in ascending order. -2, 0, 5, 135 Put -2, -1/7, 7, -0.5 in ascending order. -2, -0.5, -1/7, 7 Put 8, -1, 2 in descending order. 8, 2, -1 Put -4, 12, 0.5, 0.01 in decreasing order. 12, 0.5, 0.01, -4 Sort -5, -3, 0, 3. -5, -3, 0, 3 Put 0.1, 3/46, 1/4, 2/11 in descending order. 1/4, 2/11, 0.1, 3/46 Sort -4, -2, -15, -8, 31 in increasing order. -15, -8, -4, -2, 31 Sort -1, -51, 0.5, 1/7 in decreasing order. 0.5, 1/7, -1, -51 Put -2, 2/5, -1.4 in descending order. 2/5, -1.4, -2 Put -2, 4, -11 in ascending order. -11, -2, 4 Put -38, 0, 5 in decreasing order. 5, 0, -38 Sort 3, 60, 7, 5 in ascending order. 3, 5, 7, 60 Sort 0.4, -6, -0.8, 5, 2 in increasing order. -6, -0.8, 0.4, 2, 5 Put -6, -5, 9 in ascending order. -6, -5, 9 Sort -4, -15, 6 in ascending ord
{ "pile_set_name": "DM Mathematics" }
2 Let b = 3 + 8. Suppose b*h = -3 + 14. Solve -h - 2 = -m for m. 3 Let r(v) = -11*v**2 + 366*v - 65. Let c be r(33). Solve 7*i - 6 + c = 0 for i. -4 Let f(q) = 4*q**3 + 18*q**2 + 26*q + 2. Let i(p) = -3*p**3 - 17*p**2 - 26*p - 1. Let b(s) = 2*f(s) + 3*i(s). Let j be b(-13). Solve -j + 3 = 2*o for o. 1 Let h = 400 - 383. Solve 11 = 2*z + h for z. -3 Let q be 0 + 9 + 16/4. Let w be 0 + (-22)/(2 + 0). Let k = w + q. Solve g = -k*g for g. 0 Let o = 5 - -1. Let u be (-6)/(-14) + (-42)/98. Let a be 1 + u - (-12)/4. Solve -a*q - o = -2*q for q. -3 Let r be -13*(0 + -2 + 1). Suppose 0 = -2*w + 31 - 23. Let x = -1 - -2. Solve -x + r = w*b for b. 3 Suppose -67*v + 863 + 343 = 0. Solve -3*o - 15 = -v*o for o. 1 Suppose s = -0 - 2. Let g = 4 + s. Solve 3*z = g*z + 5 for z. 5 Suppose 0 = a - 6*x + 2*x + 10, 3*a + x - 9 = 0. Suppose -1 = -2*b - b + r, 3*b + a*r = 16. Suppose -k + 0 = -b. Solve -k*l + 12 = -5*l for l. -4 Let y(t) = t**2 + 7*t + 3. Let b be y(-7). Let r be b + (1 - 2)*(-2 + 3). Solve 23 = -5*g - r for g. -5 Suppose -3*y - 2*u = -86, -14 = -y - 2*u + 12. Solve -3*s = -y + 15 for s. 5 Let i = 2471 - 2443. Solve 6*p - i = -10 for p. 3 Let a(v) be the first derivative of v**4/4 - 2*v**3 + v**2 - 9*v - 24. Let l be a(6). Suppose 2*t + 0 - 8 = 0. Solve t*o - l*o - 1 = 0 for o. 1 Let a(p) = -p**3 + 3*p**2 + 3*p - 3. Let t be a(3). Let i(j) = -j**2 + 7*j + 30. Let b be i(10). Solve b = -5*z + t*z for z. 0 Let z = 1442 + -1440. Let s = -2 + 2. Solve z*v = -6 - s for v. -3 Let n = -23 - -96. Suppose 2*i - n = -17. Suppose s + 3*s = i. Solve 3 + s = -2*o for o. -5 Let b be (188/(-10))/((-4)/60*-3). Let o = -94 - b. Solve 4*a + 12 + o = 0 for a. -3 Let u = -387 + 394. Solve 2*f = u*f for f. 0 Suppose -3*z + 150 = 4*v - v, -2*v + 10 = 0. Let h = z + -34. Suppose 2*n - h = 3*n - 4*i, 3*n - i = 0. Solve n = -3*f - 2 for f. -1 Let v(u) be the third derivative of -u**4/12 + u**3/3 - 3*u**2. Suppose 2*w + 11 - 3 = 0. Let j be v(w). Solve -5*g = -3*g - j for g. 5 Let x = 531 - 531. Solve x = 3*q - 3 - 12 for q. 5 Let x(i) = -i**3 - 5*i**2 + i - 1. Let j be x(-6). Let p = j - 25. Solve -p*w - 27 = -11 for w. -4 Let w = -532 + 537. Solve -w*u = -7*u + 10 for u. 5 Suppose -g + 0*g + 4 = 0. Suppose -g*r + 4 = 4*v, 5*v - r - 15 = 4*r. Let c be ((-6)/(-4))/(v/4). Solve c*p + 1 = -2 for p. -1 Let r be (6/10)/(-16 + 1205/75). Solve -r*y - 10 = -4*y for y. -2 Suppose 3*m = -4*b + 67, b + 5*m = -0 + 4. Solve 6*f + 7 = b for f. 2 Let o(t) = -t**2 + 6*t - 7. Let w be o(4). Suppose 0 = -4*r + 13 - w. Suppose 5*c = 3*n + 1, -2 = -4*c + 2*n - 0. Solve -c*y - r*y = 10 for y. -2 Let h be (5 + (-112)/21)*27/(-3). Suppose 2*y - 12 = -2*y. Suppose 5*d - y = -c, 0 = -c + 2*d - 0*d + h. Solve -1 + c = q for q. 2 Let g(l) = -5*l**3 + 9*l**2 - 11*l. Let i(k) = -3*k**3 + 5*k**2 - 6*k. Let p(b) = -6*g(b) + 11*i(b). Let x be p(-1). Solve -x*m = m + 5 for m. -1 Let m(p) = p**3 - 30*p**2 + 54*p + 62. Let h be m(28). Solve 0 = 2*g + h - 4 for g. -1 Let l be (-2)/(-5) - (-90)/25. Solve 0 = 25*c - 27*c + l for c. 2 Suppose 5*t - 199 = -59. Solve 33 = -5*y + t for y. -1 Suppose -4*f + 125 = f. Suppose 2*z = -3*z + f. Suppose 4*w = 3*x - w - 4, 5*x + z*w - 60 = 0. Solve 0 = -4*j + x - 0 for j. 2 Let p be 4/6*27/6. Let m(d) be the first derivative of -d**2/2 + 8*d + 1. Let t be m(p). Solve 7 = 4*k - t for k. 3 Suppose 4 = -c + 2*g, 7*c - 5*g + 13 = 6*c. Solve 0 = -c*x + 3 - 1 for x. 1 Let w(n) = 5*n**2 - 150*n + 30. Let v be w(30). Solve -8*k = -2*k - v for k. 5 Let g be 5 - (-8 - -4)/(-4). Let n be (-4)/(-3)*(-9)/(-6). Solve g*i + n = -2 for i. -1 Let o(m) = -m + 9. Let j be o(5). Suppose j*z = 11 + 13. Solve 5*b = -26 + z for b. -4 Let c(m) be the first derivative of m**4/24 - 2*m**3/3 - m**2 + 10. Let f(h) be the second derivative of c(h). Let d be f(4). Solve d*w = -2*w + 4 for w. 2 Suppose 2*h - 23 = 4*z - 9*z, -2*h + 17 = 3*z. Suppose 0 = -z*s + 6, 0*c + 5*c - 23 = -4*s. Solve 0 = -l + c*l for l. 0 Let x be -1*(-25 + 35/7). Solve x + 10 = 6*h for h. 5 Suppose 6*d + 97 = 103. Solve d = -3*w - 5 for w. -2 Let n(p) be the second derivative of p**4/12 + 5*p**3/2 + 29*p**2/2 + 29*p. Let s be n(-13). Solve 8*t - s*t = 10 for t. 2 Let q = -23 - -28. Suppose -q*y + 3 = -7. Solve -3 = y*p + 3 for p. -3 Let q(b) = b**2 + 7. Suppose -12*p + 21 = -5*p. Let u be q(p). Solve 5*i + u = i for i. -4 Let d(w) = w**2 + 29*w + 180. Let c be d(-20). Let p(o) = -o**3 - 9*o**2 - 9*o - 4. Let f be p(-8). Solve f*s = -c*s for s. 0 Let b(y) = 52*y - 191. Let h be b(4). Solve 22*j - h*j + 5 = 0 for j. -1 Let t(n) = n**2 - 31*n + 54. Let o(c) = 2*c**2 - 63*c + 109. Let j(k) = -6*o(k) + 13*t(k). Let f be j(23). Solve 0 = f*x + 2*x - 16 for x. 4 Let n(v) = v**3 + v**2 - v. Let q be n(1). Let b be ((-99)/(-27))/(1/(-3)). Let l = 15 + b. Solve l*o + q = 3*o for o. -1 Let x = -6 - -8. Suppose l + 4*z - 22 = 0, 4*z - 40 = -5*l + l. Suppose -x*u = -l*u. Solve u = j + 3 for j. -3 Let f be (3 + (0 - -5) - 3) + -2. Let b be (-6)/15 - 21/(-15). Let j be 5/b - f - -2. Solve -2*m - j = -0*m for m. -2 Suppose 36 = -7*t + t. Let f be 6/(-1 - t/10). Let s = f + 17. Solve 4*z = s + 14 for z. 4 Let o = -969 - -979. Solve 0 = -3*w - 1 + o for w. 3 Let c be ((-5)/(-10))/((-7)/(-84)). Solve -14*w = -c*w for w. 0 Let d = 42 + -67. Let x = 11 - 21. Let j = x - d. Solve 0 = -4*p - p + j for p. 3 Let y = 55 + -56. Let c be (y + 2 + -1)/(8/8). Solve 2*j - 2 + 0 = c for j. 1 Let x = -265 + 271. Solve -2 - 22 = -x*s for s. 4 Suppose -3*i + 4*b + 35 = 0, 2*i - 6 = -5*b - 21. Solve -10*v + 11*v = i for v. 5 Let f be (-1)/(-1) + (4 - (-17 + 13)). Solve -24*x - 45 = -f*x for x. -3 Suppose s = -4*p + 15, p - 4 = -p - 4*s. Suppose -p*c = -18 + 10. Solve f + 5 = c for f. -3 Let b = -269 - -315. Solve 0 = 3*u + b - 58 for u. 4 Let z = -21 - -62. Let f = z + -39. Solve 2 = f*t - t for t. 2 Let j = 54 + -46. Suppose b - j = 5*b - 4*x, 0 = -b + 2*x - 4. Solve -3*s - 2*s - 25 = b for s. -5 Suppose -3*l - 6 = 3*z, 7*z - l - 14 = 4. Solve -8*y + 6 = -z*y for y. 1 Let p = -79 - -79. Solve p = 3*s + 9 - 3 for s. -2 Let t = 13 - 8. Suppose 11 = 4*y - t. Solve 0 = -w - 0*w + y for w. 4 Let a be 6 + 1 - (-1 - -4). Suppose 6*x = a*x. Solve d - 2*d + 3 = x for d. 3 Let l = 397 + -375. Solve -5*m + l = 7 for m. 3 Let s = -1932 + 1935. Solve 1 = -s*i - 5 for i. -2 Let g be ((-60)/(-9) - 5)*3. Let p be 11/2 + 2/(-4). Suppose -z + 6 = 4*s - 5*s, -3*s = -p*z + 38. Solve -z = 5*a + g for a. -3 Let q = 97 - 147. Let u = q + 53. Solve 8 = 5*w + u for w. 1 Suppose 4 = -23*m + 24*m. Solve -8*b = -12 - m for b. 2 Let q be ((-6)/(-4))/(9/18). Suppose -q*a + 94 = 22. Let i = 27 - a. Solve -l = -i*l + 6 for l. 3 Let g(m) = 7*m**2 + 4. Let u be g(2). Let d = -24 + u. Solve 4 = -3*i - d for i. -4 Let z be (-64)/(-8)*2/4. Let k(b) = 7*b + b**2 - 16 + z*b + 0. Let s be k(-13). Solve s = -h - h for h. -5 Let d be 8/(-3) + 2 - 636/(-36). Suppose 2*v = -c - 2 + 13, c + 4*v = d. Solve -5*z = -6*z + c for z. 5 Suppose -3*d + 10 = 4*h - 41, 0 = -3*h - 4*d + 47. Let z(y) = -2*y**2 + 8*y + 5. Let x be z(4). Let p be 4/(-2) + (x - 1). Solve -p*v = h - 1 for v. -4 Suppose 12 = 45*z - 42*z. Solve 4*i + 4*i = z*i for i. 0 Let o(t) be the first derivative of -t**3/3 + 3*t**2/2 + 3*t - 1. Suppose 17 = 9*h - 10. Let j be o(h). Solve j*x + 7 = -8 for x. -5 Suppose p - b + 1 + 18 = 0, 2*b - 21 = p. Let f be (5 + -1)/((-2)/9). Let v = p - f. Solve -d - 3 = -v for d. -2 Suppose -12 = -11*z + 7*z. Suppose -2*t + 12 = z*o, 5*o - t = -0 + 20. Solve 0 = -v - v - o for v. -2 Let j be (-2)/(-16) - (0 - 345/120). Let c(w) = -w**2 - 5*w - 3. Let b be c(-4). Solve f - b = j for f. 4 Let m(j) = -2*j. Let o = -11 - -7. Let f be m(o). Suppose -y - 17 = 5*d, d - 8 = -3*y - y. Solve y*g - f*g = 20 for g. -4 Let c(m) = m**2 - 15*m + 6. Let u be c(0). Solve w - 6 = -u for w. 0 Let i = -20 + 24. Let t be ((-96)/36)/(i/(-18)). Solve t = -3*o - 3 for o. -5 Let q be -3*(-4)/12*1 - -6. Suppose r = 9 - q. Solve -1 - 3 = -r*z for z. 2 Let n(l) = l + 6. Let w be n(-5). Let u be (-1)/(-2*(w - 0)/8). Solve u*s = -s for s. 0 Suppose 8*t = 6*t - 4. Let w = t - -4. Suppose 0 = -w*u + 3*u - 4. Solve u*a + 5 = -3 for a. -2 Suppose 0 = g + 3*j - 655 - 212, -g = -3*j - 849. Let y be 6/(-14) - g/(-91). Suppose 12*i - 15*i = -y. S
{ "pile_set_name": "DM Mathematics" }
ssuming j is positive. j**(-656/15) Simplify (f*f**(1/25))**(2/15)*(f**14/f)**31 assuming f is positive. f**(151177/375) Simplify s**(2/5)/s*s*s*s/(s/s**(3/8))*(s*s*s/(s*s**(-4))*s)/((s*s*s*s**3)/s)*(s/(s**(-1/3)*s))**(16/9)/(s**(1/2))**(-22) assuming s is positive. s**(16597/1080) Simplify (c**(-19)/c**(-2/7)*((c*c**(4/7))/c)/c**(-12))**(-27) assuming c is positive. c**(1161/7) Simplify (((r*(r/(r**8/r))/r)/r)/((r/(((r**(-9)/r*r)/r)/r))/r))**(2/11)*r*r**(-5)*r**(3/2)*(r*(r/((r/r**5)/r))/r*r*r)/r*r*r*r*r*r**(4/3) assuming r is positive. r**(433/66) Simplify ((v**(5/6))**44*(v**(2/3))**38)**(1/11) assuming v is positive. v**(62/11) Simplify (q**(2/7)/q*q*q*q**(-6/13)/q)**(-44)/((q*q/(q*q**(2/3)*q)*q)**(2/41)/((q/(q/(q/(q*q/q**3*q))*q*q))/(q**5*q))) assuming q is positive. q**(8059/11193) Simplify (u**0)**(-49)*((u/(u/u**6))/u)/u**(-2/9)*(u**(-6)*u)/u**(-1/5)*(u**(-1))**40 assuming u is positive. u**(-1781/45) Simplify (r/r**(-48))/(r*r**(3/5))*r**(-4/9)*r**(5/13) assuming r is positive. r**(27694/585) Simplify c*c*(c*c**(-3/8))/c*c*c/(c/c**(3/4))*(c/c**(2/9))/c*(c*c**2*c)/c*c*(c**2/c)**(-14/13)*c**(-4)*c*(c*c**(2/19))/c assuming c is positive. c**(56573/17784) Simplify (((g*g/g**(-5))/g**(-6/11)*((g**6/g)/g)/((g/(g*g/((g/((g*g**(2/7)*g*g)/g))/g)))/g*g))**(-26))**(-44) assuming g is positive. g**(118768/7) Simplify ((y**(-2/25)*y**(-1))/(y**(2/11)*y**(-4)/y))/((((y**(-6)/y)/y*y*y)/y)/y*y**3)**(2/29) assuming y is positive. y**(32562/7975) Simplify ((j*j**0)**(1/8)/(j/(j*j*(j/j**(-5))/j*j)*j**(-7)))/(j**(5/3)*(j/(j*j*j**(-3)*j))/j*j*j/j**(1/2)*j*j**(-7)) assuming j is positive. j**(407/24) Simplify ((v*v*(v/v**(-3/5))/v*v*v)/(v*v**2/v))/(v**0/v*v)**25*(v*v/(v/((v*v/v**(2/5))/v*v))*v**(-4)*v)**(-44) assuming v is positive. v**(101/5) Simplify ((n/(n*n**1))**(-21)*(n**1)**(-2/5))/(n**(-1)*n*n/(n/n**9))**33 assuming n is positive. n**(-1382/5) Simplify (((y/(y/(y/((((y/(y/(y*y/y**(1/18)*y)))/y*y*y)/y)/y)*y)))/(y*y/(y/(y/y**(-8/13)))))/(y**(-17/3)/(y*y/(y**(3/5)/y)*y)))**(-37) assuming y is positive. y**(-281681/1170) Simplify (h**(1/2))**(2/7)*h**3*h/h**(-6)*(h*h**(-1))/(h*h**(-2/5)/h)*h**(-4/3)*h/h**7 assuming h is positive. h**(337/105) Simplify ((y**0)**(-10)*(y*y*y**(-4/5)*y)/y**6)**(-13) assuming y is positive. y**(247/5) Simplify (x**(-10/7)*x)/((x/x**4)/x)*x**(-20)*(x/(x/(x*x**(-5/13))*x))/x assuming x is positive. x**(-1621/91) Simplify ((i/i**(5/2))/(i*i*i*i**(3/19))*(i**(-9)/i)**(-16/5))**(-2/97) assuming i is positive. i**(-1039/1843) Simplify ((w**4/w**(-4/9))/((w/w**(-2/5))/(w/(w/((w**5/w)/w)))))/(w*w*w**(-8)*w**(1/11))**(2/107) assuming w is positive. w**(325994/52965) Simplify (h**(4/5)*h*h*(h**4/h)/h*(h**(-1/3))**30)/((h**2*h)/h**(-3/7)*h**(2/25)*h**(2/13)) assuming h is positive. h**(-20162/2275) Simplify ((p**(2/7))**46/(p*p**(4/5)*p*p**(2/5)*p))/((((p/(p/p**(4/5)*p))/p)/p)/(p**(-4)/p)*(p**(-2/7))**(-2/21)) assuming p is positive. p**(899/147) Simplify ((f**(-1/4)*f*f)**8)**(-2/91)/((f/f**(2/33))/f**5)**(-1/3) assuming f is positive. f**(-2138/1287) Simplify ((q*q/q**(-17/4))**(-40)/((q/q**(20/7))/q)**12)**(-6/35) assuming q is positive. q**(1812/49) Simplify (((f*f/(((f/(f/(f/(f*(f**1/f*f)/f))))/f)/f*f))/f)**47)**(13/2)/((f**0)**(-8/13))**(-29) assuming f is positive. f**611 Simplify (((l*l**(-2/5)*l)/l)**(-6/7))**(-1/6)*(l**(4/3)/((l**6*l)/l))**(-29) assuming l is positive. l**(14219/105) Simplify (v/v**(-20)*v*v**(-23)*v*((v/(v*v**(-2/5)))/v)**2)**(-21/4) assuming v is positive. v**(63/10) Simplify ((j**2)**30/(j/(j*j**(-1)*j)*j/(j**(2/21)/j)))/(((j**(2/5)/j)/j*j*j**(5/3))/(j/(j/(j**(-2/9)*j)))**(-5/6)) assuming j is positive. j**(106559/1890) Simplify ((j**3)**(-1/35))**(-42)*(j*j/(j*j/((j*j**(-2))/j)))**50*(j**(-1/4))**(-7) assuming j is positive. j**(-1893/20) Simplify ((c**1)**7/((c*c**6/c)/(c/(c/(c**(-1)*c)))))/((c**(-2)*c)**(-8/11))**48 assuming c is positive. c**(-373/11) Simplify (((z/(z**(-1)/z))/z*z)/z*z/z**(1/7))**(-12)/(z**(1/3)*z*z**(3/7)/z*z*((z*z/(z*z**(2/3)/z))/z)**20) assuming z is positive. z**(-299/7) Simplify m**(-2/11)*m/m**(-2/11)*((m*m**(-1))/m)**(-6)*(m/(m*m**(2/5)))**(3/32)*(m*m*(m**(-4/3)/m)/m)/m**(4/7) assuming m is positive. m**(8497/1680) Simplify ((s*(s/(s/(s**(-10)/s)))/s)**(-48)/(s**(-7))**(-1/4))**(8/15) assuming s is positive. s**(842/3) Simplify (g**(-3/2)/(g*g**(2/21)))/(g/((g**(-6/11)/g)/g)*g**1)*g**(3/5)/g**(-1)*(g**(-1)/g)**(9/8) assuming g is positive. g**(-35993/4620) Simplify (((s**(-2/15)*s)/((s*(s*s**(-2)*s)/s*s)/s))/(s/(s**(-2)/s)*(s/s**2)/s))/((s/s**(1/4))**(6/25)/(s*s*s**(-2/3)*s)**(1/45)) assuming s is positive. s**(-1703/1350) Simplify ((c*c/c**(-8))/(c/(c/(c/((c/(c/((c/(c*c**(-7)*c)*c)/c*c)))/c*c))*c)))**(2/17)*c*c**3*c**(1/5)*c*c**(1/10)*c*c**(-1/5) assuming c is positive. c**(81/10) Simplify ((c/(c/c**(3/7)*c)*c**(-2/11)/c)**22)**25 assuming c is positive. c**(-6750/7) Simplify (y/y**(-5)*y*y**(1/3)/y*y)**(7/4)*(y**(1/2)*y)/(y*y/((y*y*y/y**(1/2))/y))*y**(-2/3)*(y/(y**(4/9)*y))/y*y assuming y is positive. y**(229/18) Simplify ((q**2*q*q*q**(-3/5)/q)/(q**(7/6)*q*(q*q/((q*q/(q**3*q*q*q)*q)/q))/q))**(-1/45) assuming q is positive. q**(143/1350) Simplify (j/((j*j**(3/5))/j)*j/((j*j**(-5)*j*j)/j))**14*(j*j**(1/6)*j*j*(j**1/j)/j*j)/(j**(5/6)/(j/(j**(-1/7)/j))) assuming j is positive. j**(6938/105) Simplify (w**29)**(-36/7)/((w**22/w*w)/w*w/((w**(1/34)/w)/w)) assuming w is positive. w**(-41201/238) Simplify (m**(-9)*m*m/((m**(-3)/m)/m)*m)**(-2/29)/(m**(-6)*m/m**(1/4)*m**(2/9)*m**(2/19)) assuming m is positive. m**(99011/19836) Simplify (v/(v/v**(-2/9))*v*v*v**(1/6)*v)**39/(v**(-3)*v**(2/3)*(v*v**(2/3)/v)**(2/79)) assuming v is positive. v**(55529/474) Simplify ((x*x**(2/3))**(2/19))**(-4/21)/(x*((x**(-2/3)/x)/x)/x*x*x**(2/7)*(x**(-1/4)/x)**(-42)) assuming x is positive. x**(-122459/2394) Simplify (q**(2/3)*q/(((((q**(-2/15)/q)/q)/q)/q)/q))**(-31)*(q/(q/((q/(q**(-6)/q))/q)))/((q*q/q**5)/q)*q**(-3)*q**(-3)/q assuming q is positive. q**(-1034/5) Simplify (i/i**(-8/7)*i/i**(-4/9))**(-6)*i**7*i*i/i**(-3)*((i*(i*i**(-7))/i)/i)/((i/i**2)/i) assuming i is positive. i**(-305/21) Simplify ((w**(1/3)/((w*w/w**1)/w*w)*(w*w/(w**(-1)/w*w)*w*w)**(-43))**(-36/5))**(3/2) assuming w is positive. w**(11646/5) Simplify (r**(-8)*r/(r**(-1/3)*r))/(r**(1/2)/(r/(r/(r/(r**(3/5)*r)*r))))*((r/r**(-2/5))/((((r/(r*r**(6/5)))/r)/r)/r))**(7/11) assuming r is positive. r**(-1387/330) Simplify ((l**39/l**35)/((l*l*l**42*l)/(l/l**(-26))))**20 assuming l is positive. l**(-280) Simplify (u*u**(-2/5))**(-43)*((u**7*u)/u)/u*u**(-3/7)*(u**(-2/3)/u)**(6/7)/(u/(u*((u**(-2/9)/u)/u)/u))**0 assuming u is positive. u**(-758/35) Simplify ((f*f**(-2/5)/f*f*f/f**6)/(f**(14/11)/(f*f**(-23))))**35 assuming f is positive. f**(-10654/11) Simplify (y**12/(y/y**12))/(y/y**(-35))**(-3/2) assuming y is positive. y**77 Simplify ((((g**(-1/4)*g)/g)/((g**(-5)/g*g)/g)*(g*g**5/g*g*g*g)/g**(-5/4))**(-24))**(-40) assuming g is positive. g**14400 Simplify ((w**(-1/5)/w)/(w*w**(-10)))**(-2/25)/((w**(2/3))**(-1/80)*(w**0)**(-24)) assuming w is positive. w**(-1847/3000) Simplify (((k**(2/11)/k**5)/(k**(-2/9))**(2/23))**3)**15 assuming k is positive. k**(-54635/253) Simplify ((o/((o**3*o)/o))/(o*o/(o*o*o**(-13/3)/o*o))*(o*o**(1/31)*o)/(o*o/o**(-2/25)))**(4/21) assuming o is positive. o**(-59344/48825) Simplify (m**2*m/(m/m**(3/7)))**(-17)*(m/(m*m*(m*m/((m/m**(-2/7))/m))/m)*m)**(-25)*(m/m**(2/3))/m**(2/5) assuming m is positive. m**(-2467/105) Simplify ((m**(3/2)*m**6)/(m**(4/9)/(m/(m/(((m*m**1)/m)/m)))))/((m**(-10)/m)/m*m/(m*m/m**(-1/2)))**16 assuming m is positive. m**(4015/18) Simplify (g**20/g*g**26*g**(-1/15)/(g*g*g/(g*g**(-7)*g)*g*g))**(-1/7) assuming g is positive. g**(-524/105) Simplify (((o**(-2/7))**(-12)/((o*o/((o*o/(o**(1/4)*o)*o)/o))/(o/(o/o**(-5/6)))))**(2/27))**(-8) assuming o is positive. o**(-452/567) Simplify (((o/(o/o**(2/17)))/(o/o**(-7)))/((o/o**(-1/5))/(((o**(2/3)/o)/o)/o*o)))/(o**(-8)*o/(o*o**(-8)))**(-44) assuming o is positive. o**(-2656/255) Simplify (((x/(x**6/x)*x*x/(x**(-3/7)/x))**(-1/53))**(-42))**8 assuming x is positive. x**(-192/53) Simplify ((((z**(-4)/z)/z*z**(2/17))/((z*z*z/((z*z/z**(4/7))/z))/z*z*z**(-2)))**(-41))**(-1/35) assuming z is positive. z**(-31488/4165) Simplify ((l**(-7/5)*l*l**(6/5)/l)/(l/(l**(-2/23)
{ "pile_set_name": "DM Mathematics" }
= 16*j**2 + j + 1. Let x(c) = -18*c**2 - c - 1. Determine -2*o(y) - 3*x(y). 22*y**2 + y + 1 Let w(c) = c**3 - 2*c**2 + 3*c - 1. Let y = 32 - 37. Let o = y - 0. Let v(z) = -z**3 + 4*z**2 - 5*z + 1. What is o*w(d) - 3*v(d)? -2*d**3 - 2*d**2 + 2 Let i(h) = 5*h**2 + 41. Let t(s) = 6*s**2 + 40. What is -7*i(w) + 6*t(w)? w**2 - 47 Let y(m) = 4*m**3 - 4*m**2 + m - 2. Let s(c) = -87*c + 13*c**3 - 3 - 13*c**2 + 91*c - 4 + 0. Determine 2*s(o) - 7*y(o). -2*o**3 + 2*o**2 + o Let q(z) = -22*z**2 + 3*z - 3. Let r(j) = -43*j**2 + 5*j - 5. Suppose -2*f - 28 = 4*b - 0*b, -f = 4. Give b*q(l) + 3*r(l). -19*l**2 Let t(d) = -24*d**3 - 5*d**2 + 5. Let j(x) = 49*x**3 + 13*x**2 - 9. Calculate -2*j(g) - 5*t(g). 22*g**3 - g**2 - 7 Let i(v) = -2*v - 2. Let c = 639 - 643. Let h(n) = -3*n - 3. What is c*h(p) + 5*i(p)? 2*p + 2 Let c(w) = -26*w**2 + 8. Let s(y) = -13*y**2 + 2*y + 5. Let g(d) = -24*d**2 + 5*d + 10. Let q(i) = 2*g(i) - 5*s(i). What is 5*c(l) + 8*q(l)? 6*l**2 Let g(n) = -3*n**2 - 5*n - 7. Let b(d) = 2*d**2 - 28*d - 37. Let k(x) = 2*x**2 - 19*x - 25. Let i(o) = 5*b(o) - 7*k(o). Let q = 3 - -4. Give q*g(s) - 5*i(s). -s**2 + 1 Let w(u) = 33*u**3 + 121*u**2 - 8*u - 9. Let s(o) = 8*o**3 + 30*o**2 - 2*o - 2. What is 9*s(r) - 2*w(r)? 6*r**3 + 28*r**2 - 2*r Let i(x) = 299*x - 9. Let h(q) = 149*q - 4. Determine 5*h(s) - 2*i(s). 147*s - 2 Let q(t) be the third derivative of -t**5/60 - t**4/24 - 2*t**3/3 - 2*t**2 - 142*t. Let u(p) = 1 + 8 + 2*p + 3*p**2 + 0*p. Determine 9*q(x) + 4*u(x). 3*x**2 - x Let g(s) = 2*s - 3. Let x be (-60)/(-25) - (-6)/10. Suppose -3*h - x = -9. Let r(d) = -5*d + 4 - 2*d + 3*d + 3. Give h*r(l) + 5*g(l). 2*l - 1 Let r(v) = -3*v**3 - 5*v**2 + 7*v - 4. Let n(p) = -4*p**3 - 6*p**2 + 9*p - 5. Give 4*n(g) - 5*r(g). -g**3 + g**2 + g Let f(w) = 3*w**3 - w**2 + 6*w + 6. Let i = 419 - 418. Let y(l) = -l - 1. What is i*f(h) + 6*y(h)? 3*h**3 - h**2 Let l(j) be the third derivative of j**6/120 - j**5/30 - 11*j**3/6 + 300*j**2. Let o(i) = i**2 + 4. Give 4*l(k) + 11*o(k). 4*k**3 + 3*k**2 Let f(u) = 4 - 4 - 14*u. Let j = 21 - 17. Let i(l) be the first derivative of -5*l**2/2 - 218. Calculate j*f(n) - 11*i(n). -n Let c(r) = -r + 3. Let w(n) be the third derivative of -n**4/6 + 4*n**3/3 + 40*n**2. Let z be 4/14 - 138/42. Give z*w(o) + 8*c(o). 4*o Let q(o) be the third derivative of o**4/24 + o**3/6 - o**2. Let d be q(5). Let f = d - 9. Let w(s) = -4*s. Let z(v) = -5*v. What is f*w(j) + 2*z(j)? 2*j Let b(k) be the second derivative of -k**3/6 - 410*k. Let s(d) be the third derivative of 7*d**4/24 - 2*d**3/3 + d**2. What is -6*b(v) - s(v)? -v + 4 Let c(r) = -8*r + 26. Let f(y) = 15*y - 47. Give -7*c(v) - 4*f(v). -4*v + 6 Let b(z) = -z**2 - z + 7. Let v(f) = 5*f**2 + 44*f - 29. Determine 4*b(u) + v(u). u**2 + 40*u - 1 Let p(g) = -685*g**3 + 3*g**2 - 6*g - 3. Let u(t) = -2*t**3 + t**2 - 2*t - 1. What is p(r) - 3*u(r)? -679*r**3 Let i(r) = 16*r**2 + 6*r - 11. Suppose -11 = -2*n + 2*f - 7*f, -8 = -4*n + 4*f. Suppose -25 = 2*m - n. Let u(o) = -3*o**2 - o + 2. What is m*u(k) - 2*i(k)? k**2 - k Let i(t) = -4*t**2 - t - 3. Let r(u) = -2 - 3*u**2 + 2*u + 0*u**2 + 2*u - 4*u - u. Determine 5*i(l) - 7*r(l). l**2 + 2*l - 1 Let v(y) = -1. Let d(w) = w**2 - 5*w + 5. Let a be d(4). Let k(s) = a - 8 + 2*s - 4*s**2 + 3*s**2. Let u = 55 - 49. What is u*v(q) - k(q)? q**2 - 2*q + 1 Let f(c) = 2*c - 6. Let w(s) be the third derivative of -s**3/6 + 147*s**2 - 2*s. Give -f(b) + 12*w(b). -2*b - 6 Let f(s) = -5*s + 3. Let i = -33 - -40. Let m(w) = 2 + 16*w - 6*w - 7*w - i*w. Give -3*f(l) + 4*m(l). -l - 1 Suppose -273*p + 286*p = -234. Let y(f) = -f + 9. Let w(v) be the third derivative of v**3/6 - v**2. Calculate p*w(u) + 2*y(u). -2*u Let v(i) = 1. Let y be -2*((-7)/2 + 3). Let j(k) = -k**2 + 2*k. Let l be j(y). Suppose -2*f - l = 1. Let b(w) = w**2 - 3. What is f*b(n) - 2*v(n)? -n**2 + 1 Let t(h) = -h + 6. Let p(s) = -285*s - 24. Give -3*p(d) - 12*t(d). 867*d Let m(b) = -2*b - 3. Let f be m(-2). Let k(n) = -2*n**2 + 4*n + 1. Suppose 0 = -0*c + 4*c + 20, -5*o - 4*c = 5. Let q(r) = -o*r - r + 3*r. Give f*k(z) + 3*q(z). -2*z**2 + z + 1 Let i(j) = -4*j - 38 + 21 + 11 + 3*j**2 + 6. Let m(y) = 7*y**2 - 8*y. What is 5*i(u) - 2*m(u)? u**2 - 4*u Let x(q) = -201*q + 10. Let d(y) = 15778*y - 784. Give 5*d(n) + 392*x(n). 98*n Let c(d) be the third derivative of -11*d**4/24 + d**3/2 + 83*d**2. Let n(u) = 12*u - 4. Determine -4*c(b) - 3*n(b). 8*b Let x(k) = -11*k**3 + k**2 - 7. Let i = 280 - 284. Let s = -6 + 13. Let j(n) = -6*n**3 + n**2 - 4. Determine i*x(b) + s*j(b). 2*b**3 + 3*b**2 Let y(h) = 2*h**3 - 11*h**2 + 8*h + 18. Let m(a) = a**3 - 4*a**2 + 3*a + 6. Let q be (11/(220/(-12)))/((-2)/10). Give q*y(w) - 8*m(w). -2*w**3 - w**2 + 6 Let w(z) be the second derivative of 11/6*z**3 + z**2 - 10*z + 0. Let u(t) = 6*t + 1. Calculate 7*u(q) - 4*w(q). -2*q - 1 Let k(q) = -5*q**2 + 16*q + 392. Let p(u) = 3*u**2 - 10*u - 262. Give -5*k(o) - 8*p(o). o**2 + 136 Let q(y) = 2*y - 1. Let w(o) = -3*o + 3. Let m(a) = -a**3 + 9*a**2 - 8*a - 2. Let t be m(8). Calculate t*w(h) - 5*q(h). -4*h - 1 Let k(y) = 21*y**3 - 9*y + 211. Let z(d) = 5*d**3 - 2*d + 53. Determine 2*k(c) - 9*z(c). -3*c**3 - 55 Let i(u) = -u**3 + u**2 + u. Let q(g) = -81*g**3 + 8*g**2 + 8*g. Give 40*i(h) - 5*q(h). 365*h**3 Let t(p) = 17*p + 2. Let z(o) = -17*o - 2. Calculate -3*t(a) - 2*z(a). -17*a - 2 Let f(r) = 441*r**2 + 16*r + 3. Let p(l) = -6*l - 1. What is -f(s) - 3*p(s)? -441*s**2 + 2*s Let r = -1 + 12. Suppose 5*i + r = 1. Let f(j) = -4*j**2 - 3*j + 3. Let u(l) = -3*l**2 - 2*l + 3. Determine i*f(d) + 3*u(d). -d**2 + 3 Let w(d) = -55*d + 18*d + 11*d + 15*d + 17*d. Let u(v) = v. Determine -3*u(n) + w(n). 3*n Let a(v) = -429*v - 33. Let z(q) = -215*q - 18. Calculate 6*a(g) - 11*z(g). -209*g Let y(l) = l**3 + 2*l**2 - 5*l - 3. Let t = 498 - 503. Let g(x) = -x**3 - 2*x**2 + 4*x + 2. Calculate t*g(m) - 4*y(m). m**3 + 2*m**2 + 2 Let j(y) = -2*y + 1. Let l(v) = 8*v. Determine 10*j(u) + 2*l(u). -4*u + 10 Let k(j) = j. Let a(p) = 12*p. Suppose 0 = 60*d - 65*d + 10. Calculate d*a(m) - 18*k(m). 6*m Let x(n) = 7*n**2 + 2*n + 4. Let q(b) be the second derivative of b**4/2 + b**3/3 + 5*b**2/2 + 296*b. Give 4*q(a) - 5*x(a). -11*a**2 - 2*a Let z = -20 + 7. Let i = z - -17. Let y(r) = r**2 - 4*r + 5. Let o be y(i). Let p(h) = -h**2 + 1. Let s(j) = -6*j**2 + 5. Calculate o*p(q) - s(q). q**2 Let z(b) = -38*b**2 + 4*b - 1. Let o(f) = f. Calculate 4*o(h) - z(h). 38*h**2 + 1 Suppose -16 - 4 = 5*y. Let r(m) = -3*m**3. Let b(s) = -4*s**2 - 13*s + 5. Let l be b(-4). Let o(a) = 5*a**3 - a**2. What is l*r(v) + y*o(v)? v**3 + 4*v**2 Let s(l) = 2*l**2 + 2*l + 1. Let v(y) = 3*y**2 - 18*y + 3. What is 4*s(r) - v(r)? 5*r**2 + 26*r + 1 Let s(j) = 3*j**3 - 8*j**2 - 6*j + 3. Let r(w) be the second derivative of -w**5/10 + 5*w**4/12 + 2*w**3/3 - w**2 - 2*w + 332. Calculate -8*r(d) - 5*s(d). d**3 - 2*d + 1 Let o(b) = -b - 3. Let l = 1004 + -999. Let x(q) = q + 2. Let f be x(3). Let k(t) = -t - f - 1 + 0. Calculate l*o(n) - 3*k(n). -2*n + 3 Let i = -3 + 0. Let n(f) = -6*f - 11*f - 2*f**2 - 3 + 38*f - 17*f. Let v(y) = -2*y**2 + 3*y - 2. Calculate i*v(j) + 2*n(j). 2*j**2 - j Let z(j) = -13*j - 4*j + 15*j. Let d(q) = 3*q - 1. What is 2*d(k) + 2*z(k)? 2*k - 2 Let s = -685 + 674. Let x(l) = 20*l + 5. Let v(r) = -4*r - 1. What is s*v(a) - 2*x(a)? 4*a + 1 Let r(t) = -5*t**2 - 17*t + 7. Let w = 1130 + -1134. Let k(j) = 2*j**2 + 8*j - 3. Determine w*r(x) - 9*k(x). 2*x**2 - 4*x - 1 Let i(y) = -6*y**3 + y**2 + 2*y - 6. Let s(o) = o**3 - o**2. Let q(a) = i(a) + 3*s(a). Let f(c) = 13*c**3 + 9*c**2 - 9*c + 25. What is -2*f(h) - 9*q(h)? h**3 + 4 Let f(u) = -19*u**3 + 8*u**2 - 7*u - 1. Let y(l) = -l**2 + l. What is -f(x) - 6*y(x)? 19*x**3 - 2*x**2 + x + 1 Let c(h) = h**3 - 8*h + 3. Let q(a) = -a**3 + 5*a + 4. Let u(w) = 7*w**3 - 33*w - 31. Let s(x) = 15*q(x) + 2*u(x). Give 2*c(p) + 3*s(p). -p**3 + 11*p Let v(z) = -75*z**2 - z. Let u(r) = -18*r**2 - r. Let q(s) = 3*u(s) - v(s). Let l(a) = 713*a**2 - 69*a. What is 2*l(o) - 69*q(o)? -23*o**2 Let k(o) = 2*o. Let c(a) = 18*a - 50. Let q(v) = -9*v + 28. Let t(x) = 4*c(x) + 7*q(x). What is 10*k(y) - 2*t(y)? 2*y + 8 Let l(o) = 422*o**3 - 9*o**2 - 9*o - 45. Let k(y) = -y**2 - y - 5. Calculate -18*k(c) + 2*l(c). 844*c**3 Let p = -5 - -8. Suppose 5*z -
{ "pile_set_name": "DM Mathematics" }
How many weeks are there in 232285.69 days? 33183.67 What is six fifths of a micrometer in nanometers? 1200 How many meters are there in three eighths of a kilometer? 375 How many years are there in 935.1005 millennia? 935100.5 How many milligrams are there in 1/4 of a gram? 250 How many millimeters are there in 32/5 of a centimeter? 64 How many minutes are there in 3/7 of a week? 4320 How many days are there in 16286.0328 milliseconds? 0.00018849575 What is 1/5 of a litre in millilitres? 200 What is 83.28989 litres in millilitres? 83289.89 How many tonnes are there in 13692.55g? 0.01369255 How many seconds are there in 5/6 of a minute? 50 Convert 80856.12mm to meters. 80.85612 How many years are there in 6/25 of a century? 24 Convert 16499.9ml to litres. 16.4999 What is seven halves of a millisecond in microseconds? 3500 Convert 0.1663604 milligrams to grams. 0.0001663604 How many centimeters are there in 54/5 of a meter? 1080 How many litres are there in 7084.633ml? 7.084633 How many nanograms are there in 6/5 of a microgram? 1200 How many nanometers are there in 5296.619 meters? 5296619000000 How many milliseconds are there in 878.0725 hours? 3161061000 What is 62/3 of a decade in months? 2480 What is five eighths of a litre in millilitres? 625 What is 17/2 of a litre in millilitres? 8500 What is 1/5 of a millennium in months? 2400 How many months are there in 2/15 of a decade? 16 What is one fifth of a hour in minutes? 12 Convert 56316.54 grams to nanograms. 56316540000000 What is eight sevenths of a week in days? 8 How many kilograms are there in one quarter of a tonne? 250 How many centimeters are there in 3/25 of a meter? 12 How many decades are there in fifteen quarters of a millennium? 375 How many months are there in fifty-two fifths of a century? 12480 Convert 238662.2 millilitres to litres. 238.6622 How many nanometers are there in 3/32 of a millimeter? 93750 Convert 48291.06 centuries to decades. 482910.6 How many minutes are there in 34/9 of a week? 38080 What is 3/40 of a milligram in micrograms? 75 How many milliseconds are there in one twentieth of a second? 50 Convert 2647.0779 months to decades. 22.0589825 What is 51448.428 microseconds in hours? 0.00001429123 How many micrometers are there in 3/8 of a millimeter? 375 Convert 932877.3kg to micrograms. 932877300000000 What is 3/25 of a litre in millilitres? 120 How many centuries are there in 33648.5 millennia? 336485 Convert 595492.4ms to microseconds. 595492400 How many centimeters are there in 44801.09km? 4480109000 What is 4/3 of a week in hours? 224 How many milliseconds are there in 94963.48 minutes? 5697808800 What is 3/50 of a millimeter in nanometers? 60000 Convert 8443.446 nanograms to micrograms. 8.443446 What is 59.4685 nanograms in micrograms? 0.0594685 Convert 10.6055082ns to days. 0.0000000000001227489375 How many minutes are there in 1/6 of a hour? 10 Convert 0.1763684 hours to nanoseconds. 634926240000 How many millennia are there in 20435.721 months? 1.70297675 How many years are there in twenty-one eighths of a millennium? 2625 How many months are there in 4/3 of a century? 1600 What is 13/5 of a centimeter in micrometers? 26000 What is 3/5 of a kilometer in centimeters? 60000 How many meters are there in 1/4 of a kilometer? 250 How many milliseconds are there in fifty-seven fifths of a second? 11400 How many nanometers are there in 31.6908cm? 316908000 What is 6/5 of a litre in millilitres? 1200 How many milliseconds are there in 48681.5ns? 0.0486815 What is 1/4 of a litre in millilitres? 250 What is 1/4 of a tonne in kilograms? 250 How many decades are there in 9012.812 years? 901.2812 How many millilitres are there in 1/5 of a litre? 200 How many grams are there in 0.8171163 tonnes? 817116.3 How many meters are there in 21/5 of a kilometer? 4200 How many milliseconds are there in 49/5 of a second? 9800 How many milliseconds are there in four thirds of a minute? 80000 What is 1/5 of a litre in millilitres? 200 Convert 2886.4467ns to minutes. 0.000000048107445 How many minutes are there in 1/5 of a week? 2016 How many litres are there in 7.054603 millilitres? 0.007054603 What is 1/5 of a litre in millilitres? 200 How many micrometers are there in 0.281306 millimeters? 281.306 How many meters are there in 5423.367cm? 54.23367 How many months are there in one sixth of a century? 200 What is 0.0101452t in nanograms? 10145200000000 What is 1/20 of a kilometer in meters? 50 What is 6/5 of a litre in millilitres? 1200 What is 40.97559ml in litres? 0.04097559 How many micrometers are there in ninety-one halves of a millimeter? 45500 What is 13/12 of a millennium in months? 13000 How many millilitres are there in 13/4 of a litre? 3250 What is 0.0140257 years in months? 0.1683084 Convert 564864.6 tonnes to milligrams. 564864600000000 Convert 7.464815um to nanometers. 7464.815 What is fifty-four fifths of a milligram in micrograms? 10800 What is 1/28 of a week in minutes? 360 What is three tenths of a microsecond in nanoseconds? 300 What is 11/2 of a litre in millilitres? 5500 What is 858.2 millilitres in litres? 0.8582 What is five eighths of a decade in months? 75 How many litres are there in 3701.2ml? 3.7012 What is 29/5 of a century in months? 6960 What is 689.4405cm in meters? 6.894405 What is 29/5 of a milligram in micrograms? 5800 Convert 50.98218 centimeters to meters. 0.5098218 How many millilitres are there in 5.103811l? 5103.811 How many millilitres are there in 17/2 of a litre? 8500 What is seven quarters of a decade in months? 210 What is 85.2855l in millilitres? 85285.5 What is 6.173738 grams in tonnes? 0.000006173738 Convert 237.2217 months to centuries. 0.19768475 What is twenty-one halves of a kilogram in grams? 10500 Convert 0.6227115 months to centuries. 0.00051892625 Convert 65037.91 milliseconds to seconds. 65.03791 How many decades are there in 2345.093 millennia? 234509.3 How many years are there in five eighths of a millennium? 625 Convert 2.335901 years to centuries. 0.02335901 What is 31.37282 centimeters in meters? 0.3137282 What is 72/5 of a meter in millimeters? 14400 What is twenty-one eighths of a litre in millilitres? 2625 Convert 168920.2ms to nanoseconds. 168920200000 How many milliseconds are there in nineteen quarters of a second? 4750 How many millilitres are there in thirty-two fifths of a litre? 6400 What is fifteen quarters of a day in hours? 90 What is 0.7379965kg in micrograms? 737996500 Convert 2498.462 milliseconds to microseconds. 2498462 How many millilitres are there in twenty-five halves of a litre? 12500 How many milliseconds are there in one quarter of a second? 250 What is 3/10 of a millimeter in micrometers? 300 What is 85/6 of a year in months? 170 What is 1896.895ml in litres? 1.896895 How many millilitres are there in seven halves of a litre? 3500 Convert 163.22328 milliseconds to minutes. 0.002720388 What is 71.24097l in millilitres? 71240.97 How many grams are there in 3/5 of a kilogram? 600 How many milligrams are there in 285.9895kg? 285989500 What is 6/5 of a litre in millilitres? 1200 What is one fifth of a gram in milligrams? 200 What is 5/6 of a minute in seconds? 50 How many decades are there in 97931.07 millennia? 9793107 How many centimeters are there in 746363.1mm? 74636.31 How many microseconds are there in 86.51551 weeks? 52324580448000 What is sixty-one quarters of a century in months? 18300 What is eleven tenths of a week in minutes? 11088 What is 34/5 of a milligram in micrograms? 6800 What is eighteen fifths of a litre in millilitres? 3600 What is 0.6147679g in nanograms? 614767900 What is 3/7 of a week in days? 3 How many millilitres are there in 37/5 of a litre? 7400 How many meters are there in 80890.47 millimeters? 80.89047 How many centuries are there in 119850.6 months? 99.8755 How many seconds are there in 40.54648 hours? 145967.328 How many millimeters are there in 37/2 of a meter? 18500 How many milligrams are there in 5644.897 kilograms? 5644897000 What is three fifths of a millimeter in micrometers? 600 How many millilitres are there in seventy-five halves of a litre? 37500 What is 3/10 of a kilometer in centimeters? 30000 How many micrometers are there in 44.38605 meters? 44386
{ "pile_set_name": "DM Mathematics" }
w - 35 What is the third derivative of -35947219*k**6 + k**2 - 9*k - 10865362? -4313666280*k**3 Find the second derivative of 45016762*y**2 - 222921811*y wrt y. 90033524 Find the second derivative of 6*l**4 + 1075*l**3 - 8*l**2 - 11*l - 102762 wrt l. 72*l**2 + 6450*l - 16 Find the third derivative of -20075131*v**3 + 2*v**2 - 1420995*v - 2 wrt v. -120450786 What is the third derivative of 518555762*m**5 - 778*m**2 + 204227*m? 31113345720*m**2 What is the second derivative of -9984*j**5 - 1064*j**4 + 54097518*j? -199680*j**3 - 12768*j**2 Find the third derivative of 7*o*p*y**3 - 5*o*p + 2*o*y**3 - 9*o*y**2 + 449771*y**3 + 14*y - 1629 wrt y. 42*o*p + 12*o + 2698626 What is the derivative of -124269643*d**3 + 51588475? -372808929*d**2 What is the second derivative of 26*g**4 + 61275*g**3 + 2995158*g? 312*g**2 + 367650*g Differentiate -34*r**3 - 2995*r**2 + 3*r + 3652399. -102*r**2 - 5990*r + 3 Find the first derivative of 4222*p*v - 3079*p + 580*v**2 + 384 wrt v. 4222*p + 1160*v What is the second derivative of -11973751*r**3 - 24919982*r wrt r? -71842506*r What is the first derivative of -2*a**3*j - 229*a**3 + 31269*a + 46233608*j wrt a? -6*a**2*j - 687*a**2 + 31269 Find the second derivative of -5288927*s**3 + 4484951*s. -31733562*s What is the derivative of 96*z**4 + 66531*z**2 + 11366622? 384*z**3 + 133062*z What is the derivative of -31681388*w + 70164746? -31681388 What is the third derivative of -10835092*n**3 - 8899*n**2 + 720*n + 1 wrt n? -65010552 What is the second derivative of 69*z**4 + 29*z**3 + 39*z**2 + 107*z + 3391 wrt z? 828*z**2 + 174*z + 78 Differentiate 10*p*r*y**2 - p*r + p*y**2 + 902*p*y - 1153592*r**2*y**2 - 2*y**2 - 767 with respect to r. 10*p*y**2 - p - 2307184*r*y**2 Find the third derivative of -24237128*r**5 - 8154110*r**2. -1454227680*r**2 What is the first derivative of 2*i**2*j - 70*i**2 - i*j - 2868*i + 29994*j - 145 wrt i? 4*i*j - 140*i - j - 2868 Differentiate -6065185*y + 4297312. -6065185 What is the first derivative of -341947*c**2*i*x - c**2*i + 1566856*c**2*x + c*i*x - c*x wrt i? -341947*c**2*x - c**2 + c*x What is the second derivative of 2*q**5 + 2601*q**4 - 37*q**2 - 3760*q - 10816? 40*q**3 + 31212*q**2 - 74 Find the second derivative of -9686196*l**3 - 26*l**2 + 182485200*l + 1. -58117176*l - 52 Find the first derivative of 1097154*m**3 - 84*m**2 - 581979060 wrt m. 3291462*m**2 - 168*m What is the first derivative of 1172*g*n*s*u + 221*g*n - 4*g*s + n*s + 172*n*u - 959*n - 16*s*u - u + 2 wrt u? 1172*g*n*s + 172*n - 16*s - 1 Find the second derivative of -3*o**2*u**3 - 25701200*o**2 - 8925*o*u - 41*o - 33*u**3 + 2*u**2 wrt o. -6*u**3 - 51402400 Find the third derivative of -268*w**5 + 11*w**4 + 498*w**3 + 189156*w**2 + 9*w - 2 wrt w. -16080*w**2 + 264*w + 2988 What is the second derivative of 6068727*t**5 - t - 48117028 wrt t? 121374540*t**3 What is the second derivative of -28135416*c**3 - 15505951*c wrt c? -168812496*c Differentiate 43303725*c**3 + c - 30835830 wrt c. 129911175*c**2 + 1 Differentiate -3105847*n**2 + 2147961. -6211694*n Differentiate 7188023*j**2 + 3741706 with respect to j. 14376046*j What is the third derivative of 7569643*b**2*u**2*x**3 - 1808*b**2*u**2*x - 155*b**2*u*x**2 - 5*b*u**2*x**2 - 9*u**2*x**3 wrt x? 45417858*b**2*u**2 - 54*u**2 Differentiate 759*r**3 - 11737*r**2 + 7*r - 180861744. 2277*r**2 - 23474*r + 7 Find the third derivative of -c**5*m + 3483*c**4 - 49*c**3*m + c**2*m + c**2 + 5*c + 15982*m - 1 wrt c. -60*c**2*m + 83592*c - 294*m Differentiate -6205970*m**3 - 4856864 with respect to m. -18617910*m**2 Find the third derivative of -5237143*f*i**3*w**3 - 2*f*i**2*w**2 + 212*f*i**2*w + 3*f*i**2 - 36*f*i*w**3 - 7*f*w wrt i. -31422858*f*w**3 Find the third derivative of -13061552*d**3 + 15196702*d**2 wrt d. -78369312 Find the first derivative of -43*t**4 - 5142*t**3 + 26*t - 310110628 wrt t. -172*t**3 - 15426*t**2 + 26 Find the third derivative of 245346980*c**3 - 4*c**2 - 292828*c - 59. 1472081880 What is the derivative of 6254*a*s + 379331*a + 359*s**2 wrt s? 6254*a + 718*s Find the third derivative of 1398323*f**3*z - 2*f**3 + 18*f**2*z - 95*f**2 - 15*z + 52 wrt f. 8389938*z - 12 Find the second derivative of 2805*p**5*v**2 - 1989*p**2*v**2 - 3*p*v**2 - 4*p - 40*v**2 - 695*v wrt p. 56100*p**3*v**2 - 3978*v**2 Find the second derivative of -4*l*w**4 + 321*l*w**3 + l*w + 24073687*l - 4158*w**2 wrt w. -48*l*w**2 + 1926*l*w - 8316 Differentiate -42550903*h*k + 21*k + 21954 with respect to h. -42550903*k Find the second derivative of -2*b**2*n*v - 108*b**2*n - 15643*b**2*v + 5511920*b*n*v + 2*b*n - v wrt b. -4*n*v - 216*n - 31286*v Differentiate 3*f**2*i - 2*f**2 - 943884*f*i + 94999*i + 169 wrt f. 6*f*i - 4*f - 943884*i Find the second derivative of -14477287*t**2 + 52*t - 15681 wrt t. -28954574 What is the third derivative of -18034872*v**3*x**3 + 152*v**3*x**2 + v**3*x + 156*v**2*x - 2*v*x + 2*v wrt x? -108209232*v**3 Find the first derivative of -314206196*o + 814806972 wrt o. -314206196 Find the third derivative of 1158793*t**6 - 1304085*t**2 wrt t. 139055160*t**3 Differentiate -212540*a*b**2*m - 94*a*b*m - 364*a*b + a + 10*b**2 + 31*b - 10 with respect to m. -212540*a*b**2 - 94*a*b What is the second derivative of -2*l**4 - 684*l**3 + 553*l**2 + 2715659*l + 1 wrt l? -24*l**2 - 4104*l + 1106 Find the third derivative of 111594638*r*s**3 - 286*r*s**2 + 17*r*s + 18*r - 1 wrt s. 669567828*r What is the second derivative of 106544583*c**3 - 90423702*c? 639267498*c What is the first derivative of 10703*g*h - g*j**3 - 29*g - 5339*h*j**3 - 114*j**3 - 741*j wrt h? 10703*g - 5339*j**3 Differentiate -935777*b**2*p + 223*b**2 - 6*b*p + 1358*b + 4*p - 12 with respect to p. -935777*b**2 - 6*b + 4 Differentiate -25712371*f - 80516605 wrt f. -25712371 What is the third derivative of 90736220*u**4 - u**2 - 240*u + 25124 wrt u? 2177669280*u What is the third derivative of 7515444*y**6 - 96*y**2 + 95546*y wrt y? 901853280*y**3 Differentiate -242923*m**4 + 8*m - 15918246 with respect to m. -971692*m**3 + 8 Find the second derivative of -459449842*u**3 + 8755*u + 475. -2756699052*u What is the first derivative of 13390237*c - 4378282 wrt c? 13390237 Find the second derivative of -57411111*k**2 - k - 35745231. -114822222 Differentiate -27*c**3*o**3 + 3846*c**2*o**3 + 44*o**3 - 5*o**2 + o + 51 with respect to c. -81*c**2*o**3 + 7692*c*o**3 Differentiate -85780*f**3*j + 76*f**3 - 13*f**2 + 435*f*j**2 - 14*f + 79 with respect to j. -85780*f**3 + 870*f*j Find the third derivative of -10361*c**4*n - 63179*c**3*n**2 + 107489609*c**2*n**2 wrt c. -248664*c*n - 379074*n**2 What is the derivative of 146929*v**3 - 2*v**2 - 2*v + 4209067 wrt v? 440787*v**2 - 4*v - 2 Differentiate -186570515*h - 79975253. -186570515 Differentiate -h**4*w**2 - 12726111*h*w**3 - 30415*w**3 - 2*w + 149 wrt h. -4*h**3*w**2 - 12726111*w**3 What is the second derivative of -128026595*a**2 + 2453*a - 20662 wrt a? -256053190 What is the second derivative of -19*k**3*r + 2*k**3 - 881096*k**2*r - 107*k*r - 16*k - 27*r + 7 wrt k? -114*k*r + 12*k - 1762192*r What is the third derivative of -5725835*v**6 - 61*v**2 - 51079*v - 1 wrt v? -687100200*v**3 Differentiate -33535259*s**4 + 7692479 wrt s. -134141036*s**3 What is the second derivative of -2*a**3*r + 9979281*a**2*r**2 + a*r + a + 794*r**2 - 2*r + 1 wrt a? -12*a*r + 19958562*r**2 What is the first derivative of -13991190*c**3*l + 136246*c**3 + 929*c**2 + 3*l**2 wrt l? -13991190*c**3 + 6*l What is the derivative of 5*d*j**2 + 12*d*j - 78635581*d + 7*j**2 - 6*j wrt j? 10*d*j + 12*d + 14*j - 6 Find the second derivative of 2077961*u**5 + u**3 - 2*u**2 - 22*u - 208897 wrt u. 41559220*u**3 + 6*u - 4 Find the third derivative of -2*l**5 + 1686*l**4 + 8409*l**3 + 37372862*l**2 - 2. -120*l**2 + 40464*l + 50454 Differentiate 212075302*i*z + 40121173*z wrt i. 212075302*z What is the second derivative of 466657*b**4 + 50*b**3 - 46738304*b? 5599884*b**2 + 300*b What is the first derivative of 1458*f**2*i**3 - 533*f**2*i**2 + 177760251*i**3 wrt f? 2916*f*i**3 - 1066*f*i**2 Differentiate 5*j**3*u**2 - 15571585*j*u**3 - 8923028*u**3 with respect to j. 15*j**2*u**2 - 15571585*u**3 What is the first derivative of 7654084*g**2 + 3213532? 15308168*g Find the third derivative of 125761910*y**3
{ "pile_set_name": "DM Mathematics" }
+ 4*m - p - 185 = 0. Suppose -14*s = -3*h - 9*s + m, -5*s = -h + 14. What is the remainder when 116 is divided by h? 38 Let h(y) = -9 + 0 + 0 + 11*y. Let z = -458 - -470. Calculate the remainder when h(z) is divided by 14. 11 Let r(h) = 11*h**2 - 216*h + 1. What is the remainder when r(20) is divided by 9? 0 Let p(b) = -b**3 + 24*b**2 - 105*b - 22. Let s(n) = -n**3 + 6*n**2 + 7*n + 1. Let f be s(7). Calculate the remainder when p(18) is divided by (f - -1)*19/2. 13 Let z(u) = 3*u**3 - u**2 - u + 4. Let s be z(2). Suppose s*y - 12 = 19*y. Calculate the remainder when 8 is divided by y. 0 Suppose 32*a - 20 = 27*a. Suppose -11*l - 108 = -38*l. Calculate the remainder when a is divided by l. 0 Let q(o) = o**3 + 14*o**2 - 20*o - 13. Suppose -14*r + 19*r + 75 = 0. Let d be q(r). Let b = 72 - d. Calculate the remainder when 98 is divided by b. 8 Suppose 0 = g - 5*t - 2310, -3*g = 2*t - 2182 - 4646. Calculate the remainder when g is divided by 127. 121 Suppose -9*k = -11*k + p + 215, 4*k - 433 = -p. What is the remainder when k is divided by 50? 8 Let p = -819 + 1179. Suppose -13*c + p + 121 = 0. Calculate the remainder when 70 is divided by c. 33 Let y(f) = -2. Let m(w) = -4*w - 84. Let l(u) = -m(u) + 4*y(u). Calculate the remainder when 164/9 + 4/(-18) is divided by l(-18). 2 Suppose 14 = 2*n - 3*l, 0 = -3*n - 0*n + 5*l + 20. Suppose -19 = -n*c + 41. Let p(g) = -g + 32. What is the remainder when p(8) is divided by c? 0 Suppose -2*a - 9*x + 14*x + 332 = 0, 2*x = -2*a + 290. Calculate the remainder when 1959 is divided by a. 147 Suppose z + 3*j = 33, 4*z + 3*j - 107 = -20. What is the remainder when 1635 is divided by z? 15 Let n = 76 + -4. Suppose -7 = -y + 3*x, 4*y - x = 5*y - 15. Calculate the remainder when n is divided by y. 7 Let c(v) = -v + 7. Let y(p) = p + 9 - 6 - 16. Let d(t) = 7*c(t) + 4*y(t). Calculate the remainder when 23 is divided by d(-4). 5 Suppose -155*u + 291*u - 29376 = 0. Calculate the remainder when u is divided by 11. 7 Let p = -6390 - -6416. Calculate the remainder when 663 is divided by p. 13 Suppose 4*t - 2*s = 3*s + 89, -s + 104 = 5*t. Let x = -574 - -579. Suppose 68 = x*a + 4*m - 203, a - m = 56. Calculate the remainder when a is divided by t. 13 Suppose -2*j + 2*c = 12 - 102, 2*j - 65 = -3*c. What is the remainder when 54*10/105*21 is divided by j? 28 Let d(p) = 799*p + 5782. What is the remainder when d(-7) is divided by 110? 79 Let v = -23 + 14. Calculate the remainder when 93*(-6)/v - -3 is divided by ((-22)/8)/((-15)/120). 21 Suppose 0 = -130*g + 2359 + 4770 + 801. Calculate the remainder when g is divided by 60. 1 Let r = 14639 + -7760. What is the remainder when r is divided by 80? 79 Suppose 0 = 2*t - 5*j - 878 - 229, 0 = -4*t - 4*j + 2200. Let n = -480 + t. Calculate the remainder when n is divided by 10. 1 Let z = -25 - -33. Suppose z*t - 9*t = -2. Suppose -3*n = 4*r - 95, 5*r - 4*r - 30 = -t*n. What is the remainder when 97 is divided by r? 17 Suppose -30 = 47*f - 88*f + 2020. Suppose 45 = -4*x - 107. Let l = x - -57. What is the remainder when f is divided by l? 12 Suppose -1095 = 2*h + 3*i, 5*h + 3*i - i = -2754. Let f be 10/65 + h/39. Let v(l) = -3*l - 28. Calculate the remainder when 25 is divided by v(f). 11 Let t = -12614 - -12788. Calculate the remainder when 627 is divided by t. 105 Let w = 4 + 0. Suppose -2*s + 52 = 4*o, 5*o - 325 = 3*s - 469. What is the remainder when w/12 - 209/(-3) is divided by s? 32 Let m(l) = l**3 - 12*l**2 - 14*l - 17. Let b be m(13). Calculate the remainder when 15 is divided by ((-33)/55)/(2/b). 6 Suppose 5*g + 101 = t, 0*t + 76 = -4*g - 4*t. Calculate the remainder when (30/g)/(18/(-204)) is divided by 4. 1 Let x = -125654 + 125961. Calculate the remainder when x is divided by 75 - (1 + -3) - 0. 76 Let s(q) be the first derivative of 5*q**3/3 + 3*q**2/2 + 3*q + 41. Let i(v) = v**2 - 2*v - 3. What is the remainder when i(5) is divided by s(-1)? 2 Suppose 4*h - 5*p - 554 = 0, -h + 11*p = 15*p - 128. What is the remainder when 446 is divided by h? 38 Let f(u) = -u**3 - 3*u**2 - u + 5. Let i be f(0). What is the remainder when 89 is divided by (-18)/(-135)*i + 52/3? 17 Let y = -12848 + 12957. What is the remainder when y is divided by 1*3/((-3)/(-46))? 17 Let t = -502 - -498. What is the remainder when 7 is divided by t/(0 - 18/27)? 1 Calculate the remainder when (47 - 62)*((-8)/14 - (-5820)/(-252)) is divided by 26. 17 What is the remainder when (-112)/(-6)*(114/(-18))/((-72)/486) is divided by 17? 16 Let k be 2 - (-2)/4*-6. Let o be (3/9)/(k/(-9)). What is the remainder when 13*(-55)/(-5) + o is divided by 30? 26 Suppose 0 = -3*h + 5*j + 6285, 196*j = -5*h + 192*j + 10401. What is the remainder when h is divided by 95? 90 Suppose 0 = 2*a - 3*y - 78, a + 7*y - 2*y = 26. What is the remainder when (48/(-32))/(3/(-134)) is divided by a? 31 Suppose -22 - 5 = -s. Suppose s*z - 23*z = 20. What is the remainder when (-3 + 6)/(6/76) is divided by z? 3 Suppose 19 = -20*o - 41. What is the remainder when 39 is divided by 9 + o - (-3)/3? 4 Suppose -38*z = 17*z - 10*z - 1305. What is the remainder when 1765 is divided by z? 25 Suppose 0 = -3*u - 3*u + 24. Suppose -f + u*x + 17 = 0, -68 = -4*f + f - 5*x. Calculate the remainder when f is divided by 6. 3 Let t(x) = x**2 + 44*x + 3. Let a be t(-44). Suppose 5*y - 17 = -2*d, -a*d - 2*y + 6*y + 37 = 0. Calculate the remainder when 43 is divided by d. 10 Let f = 5868 - 5804. Suppose 4*z = 4, -2*z = -5*n + 25 - 7. What is the remainder when 31 is divided by f/(-6)*n/16*-6? 15 Suppose 2*r + 20 = 3*i, -2*r + 10 - 2 = 4*i. Suppose 0 = -3*f + 9, -3*n = -f + i*f - 864. Calculate the remainder when n is divided by 36. 33 Suppose -3*i = 3*i + 48. Let m(b) = -23*b - 60. Calculate the remainder when m(i) is divided by 32. 28 Suppose 6*o - 224 = -4*v, -17*v + 149 = -14*v - 5*o. What is the remainder when 113 is divided by v? 7 Let a(v) = 2*v + 0*v**2 - 5*v**2 + v**3 - 356 + 333. What is the remainder when a(7) is divided by 36? 17 Suppose 2*x - 4*g - 2282 = 0, 13*x - 17*x - 3*g + 4553 = 0. What is the remainder when x is divided by 60? 59 Let x(h) = -163*h**3 + 4*h**2 - 3*h - 1. Suppose 5*c - 34 = -29. Let o be x(c). Let w = -129 - o. What is the remainder when 64 is divided by w? 30 Let r = 7882 + -7875. What is the remainder when 112 is divided by r? 0 Let l = -17000 - -17031. What is the remainder when 1019 is divided by l? 27 Let c = 1635 + -1402. Calculate the remainder when c is divided by 70. 23 Let b be (29/(-2))/(1/(-2)). Suppose -83*t + b*t = -1782. Suppose -2*l = -14 - 182. What is the remainder when l is divided by t? 32 Suppose 4*g - 4*l - 36 = 0, -12 = -5*g + l + 53. Let x(b) = 3*b**2 - 34*b + 37. Calculate the remainder when x(g) is divided by 25. 24 Let q(n) = 9*n**2 - 30*n - 307. Let j = 24 + 16. What is the remainder when q(-6) is divided by j? 37 Let q(h) = -h**3 - 3*h**2 + 2*h - 3. Let y be q(-4). Suppose 4*g + y*z = 234, 2*g - 5*z - 158 = -g. What is the remainder when 109 is divided by g? 53 What is the remainder when 3438 is divided by ((-12)/(-9))/4 + -2 + (-558)/(-27)? 18 Let k(s) be the second derivative of 57*s**5/20 + s**4/3 - 4*s**3/3 + 3*s**2/2 + 161*s. Calculate the remainder when k(1) is divided by 10. 6 Let q(h) = 2*h**2 - 9*h - 143. Let k = 63 + -45. What is the remainder when q(14) is divided by k? 15 Suppose 4*t - 170 = 2*v, -348*t + 5*v = -347*t - 29. What is the remainder when 967 is divided by t? 43 Let p(a) = -5*a + 99. Let o be p(19). Suppose -5*l - o*r + 192 = -3*r, 112 = 3*l - r. What is the remainder when l is divided by 4? 2 Let k = 7338 + -7150. What is the remainder when 904 is divided by k? 152 Suppose 471 - 506 = -q. What is the remainder when 454 is divided by q? 34 Let a(z) = -z**3 + 13*z**2 + 17*z - 197. What is the remainder when 520 is divided by a(13)? 16 Suppose -3*j = u + 4*u + 1519, 2*j + 1019 = 3*u. Let y = j - -516. Calculate the remainder when 60 is divided by y. 4 Suppose -8*x - 934 + 6022 = 0. Suppose -5*m + x = 7*m. Let t(d) = 27*d + 1. Calculate the remainder when m is divided by t(1). 25 Suppose -22*w + w + 13 = -1646. What is the remainder when 619 is divided by w? 66 Let s = -610 + 721. Let j = -71 - -87. Calculate the remainder when s is divided by j. 15 Let j(a) be the first deriva
{ "pile_set_name": "DM Mathematics" }
rs of m(-19)? 2, 5, 59 Let a = 1908 - 1356. What are the prime factors of a? 2, 3, 23 Suppose 6*o = -668 - 58. Let j = o - -172. List the prime factors of j. 3, 17 Let f be 10/(-3)*21/(-2). Let j(v) = -36*v - 29. Let z be j(-1). Let c = f - z. List the prime factors of c. 2, 7 Let b be -1 + 4 + 378 + 2. Suppose -i + 624 + 368 = 5*d, -2*d + b = 5*i. List the prime factors of d. 199 Let p(w) = 3*w**3 - 5*w + 2. Let u be ((-616)/40)/(-7) - 2/10. What are the prime factors of p(u)? 2 Suppose -l = 3*s - 7297, -3*l - 4372 = -3*s + 2945. What are the prime factors of s? 2, 1217 Suppose -24*y + 19 = -25*y. Let m(r) = r**3 + 5*r**2 - 7*r. Let b be m(-5). Let j = y + b. List the prime factors of j. 2 Let k = -590 + 1369. What are the prime factors of k? 19, 41 Let z(y) = -y + 9. Let w be z(9). Let s = w + 24. Suppose 0 = -4*n - 4*t + s, 2*n + 3*n - 46 = -t. List the prime factors of n. 2, 5 Suppose 13 + 7 = 5*c. Suppose -c*d = -2*s - 12, 5*d - s = s + 14. Suppose -d*g + 3*h = -g - 5, 3*h = -3*g + 63. List the prime factors of g. 17 Suppose 5*l = 2*z + 20062, -3*l - l - 2*z + 16064 = 0. What are the prime factors of l? 2, 3, 223 Let o = -1497 + 2375. What are the prime factors of o? 2, 439 Let j(h) = 34*h - 13. Let y(d) = 68*d - 27. Let r(g) = -9*j(g) + 4*y(g). Let v(l) = -17*l + 4. Let k(t) = 2*r(t) - 5*v(t). What are the prime factors of k(3)? 7 Let v be 4/(-6)*(-30)/4. Let d(y) = -3*y - 20. Let z be d(-6). Let n = z + v. List the prime factors of n. 3 Suppose 3*k - k = -4. Let s be 282/(1 - k) + 3. Suppose -3*j = 2*n - s, -3*j + j + 62 = 2*n. List the prime factors of j. 5, 7 Suppose 0 = -4*a - 5*b - 30 + 7, -4*a = 4*b + 20. Let n(c) = c - 1. Let i(g) = 1. Let t(x) = i(x) - 5*n(x). List the prime factors of t(a). 2 Suppose 2*c = -c + 5*f + 16, -3*c - 4*f + 25 = 0. Let v(s) = s**2 - 14. List the prime factors of v(c). 5, 7 Let m(i) = 2*i**2 - 24*i - 173. What are the prime factors of m(18)? 43 Let l be 127*1 - (5 - 3). Suppose -2*s + 9 = -0*s - 3*q, 7 = 4*s + 5*q. Suppose -s*z + l = 2*z. What are the prime factors of z? 5 Let t(g) = g**3 - 8*g + 438. What are the prime factors of t(0)? 2, 3, 73 Suppose 5*n + 7 = 2*g, -g + 5*n = -7 + 6. Let r = 86 + g. List the prime factors of r. 2, 23 Let n(k) be the first derivative of -k**2/2 - 4*k - 7. Let w be n(-6). Suppose q - w = z - 4*q, -33 = -z - 2*q. What are the prime factors of z? 23 Let u = 90 + -17. Suppose u = y - 5*p + 29, -15 = 5*p. Suppose 4*g = 5*x + y, -2*g - 3*g + 28 = 2*x. List the prime factors of g. 2, 3 Let x(p) = -30*p + 11. Let v be x(-7). Suppose 51 = -5*c + v. What are the prime factors of c? 2, 17 Let p = 166 - 116. Suppose -12*f = -7*f - p. List the prime factors of (184/10)/(4/f). 2, 23 Suppose v + v = 362. Suppose 4*n - v - 55 = 0. List the prime factors of n. 59 Let d(c) = -c**3 + 7*c**2 - 3*c - 1. Let p be 10 + (-1 - (-9)/3). Let u be ((-10)/p)/((-6)/36). List the prime factors of d(u). 2, 17 Let y(g) = -g**2 - 17*g + 19. Let c be y(-8). List the prime factors of 26/c + (915/7 - 1). 2, 5, 13 Let u be ((-6)/(-4))/((-6)/(-12)). Let s be u - 2*(-2)/4. Let l(f) = f**2 + 5*f - 5. What are the prime factors of l(s)? 31 Suppose -5*k - 5 = -10*k. Suppose -3*t - 2*t = -4*g + 13, g - 2*t = k. What are the prime factors of g? 7 Suppose t + 13 = g, -3*t = 2*g - 0*g - 1. Let f be (-20)/(-6) + g/12. Suppose 3*d = -q + 4*q - 117, 4*q + f*d = 164. What are the prime factors of q? 2, 5 Let x(v) be the second derivative of -31*v**5/4 + v**4/12 + 2*v**3/3 + 3*v**2/2 + 5*v. List the prime factors of x(-1). 5, 31 Suppose 8*y + 3*y = 9779. What are the prime factors of y? 7, 127 Suppose -5*b - l = -5922, 12*b + 5912 = 17*b - 4*l. What are the prime factors of b? 2, 37 Let x(z) = 2*z**2 + 3*z**2 + 2 + 1. Let n be x(-3). Suppose -2*l + 16 = -n. List the prime factors of l. 2 Suppose -3*n + 58 = a, 0 = -5*a - 24 - 1. Let h(u) = -2*u - 5. Let k be h(-6). Suppose -k = -2*l + n. List the prime factors of l. 2, 7 Suppose 3 = 4*z - 5. Suppose -3*p = 2*s - 59, -5*p + 97 = -z*s + 4*s. List the prime factors of p. 19 Let g(v) = v**2 - 6*v + 1. Suppose -5*b - 2*n + 2 = 0, -2 = -b - 5*n + 3. Suppose b = 3*z + i - 26, -4*z + 37 = -4*i + 3*i. List the prime factors of g(z). 2, 7 Let w = -156 - -93. What are the prime factors of (-13617)/w + 1/(-7)? 2, 3 Let q be ((-4)/(-12))/((-2)/(-54)). Suppose 25 = 4*f - q*f. List the prime factors of 15/(-2)*6/f. 3 Let u = 0 - 0. Let a = -525 + 526. List the prime factors of (a + u)/(3/54). 2, 3 Let i be (-65)/(-15) - (-2)/(-6). Suppose z - 4*k - 5 = -6*k, -z - 19 = -i*k. List the prime factors of 36/16*(-32)/z. 2, 3 What are the prime factors of 1/((-15)/20)*-597? 2, 199 Let a = 4374 + -2594. List the prime factors of a. 2, 5, 89 Suppose 2232 = -44*d + 47*d. What are the prime factors of d? 2, 3, 31 Suppose -10465 = -7*v - 2912. Suppose 101 + v = 5*t. What are the prime factors of t? 2, 59 Let r(d) = 147*d**2 - 120*d - 1. What are the prime factors of r(-4)? 19, 149 Suppose 0 = 43*p - 12*p - 16027. What are the prime factors of p? 11, 47 Suppose x - 11*x + 3680 = 0. List the prime factors of x. 2, 23 Suppose -63*j = -64*j - 2. Suppose -2*z - 3*a - 235 = 0, -3*z - 4*a + 622 = -8*z. List the prime factors of z/(-4) + 3/j. 29 Let i = -1 + 28. Let t = 122 - i. Suppose 36*z + t = 41*z. List the prime factors of z. 19 Let v = -12 + 7. Let y be (-1)/v - (-552)/40. List the prime factors of (1/3)/(y/714). 17 Let f = -10 + 5. Let u(l) = -l**2 - 6*l + 3. Let w be u(f). Let d = w - -28. What are the prime factors of d? 2, 3 Let w(h) = 3*h - 7. Let k be w(4). Suppose 2*t + 5*n + 38 = -0, 0 = -5*t - k*n - 95. Let p = -11 - t. What are the prime factors of p? 2 Let a be 70*(4/10 + 0). Suppose a = m - 0. Suppose 2*q - q - m = 5*b, -q - 2*b + 21 = 0. What are the prime factors of q? 23 Let c(m) = -34*m**3 - 2*m - 1. Let u be c(-1). Let j be u*3 + (-9)/3. Suppose 0 = 5*s + v - j, 0 = -2*s + 2*v - 3*v + 42. What are the prime factors of s? 2, 5 Let a(h) = h**3 - 30*h**2 + 10*h + 20. What are the prime factors of a(30)? 2, 5 Suppose 85*y = 61*y + 50544. List the prime factors of y. 2, 3, 13 Suppose 64 = 3*d + u, 0*u = 5*d - 2*u - 125. Let h = 10 - d. Let a = -7 - h. List the prime factors of a. 2, 3 Suppose -5*w = 5*q - 23465, 5*q + 3520 = w - 1161. What are the prime factors of w? 4691 Let n = 16 - 13. Suppose n*c - 10 = 23. Let f(d) = d**2 - 9*d - 6. What are the prime factors of f(c)? 2 Suppose -5*r + 88 = 3*f, -5*f + 53 + 77 = 5*r. Suppose -4*h - f = -77. Let l = h + 20. What are the prime factors of l? 2, 17 Suppose -7*d = -5*d - 286. Let f = d - 62. What are the prime factors of f? 3 Suppose 11*m - 11877 = 11652. What are the prime factors of m? 3, 23, 31 Let w(m) = 110*m**3 - 109*m**3 - m**2 - 5 + 0*m**2. What are the prime factors of w(5)? 5, 19 Let j(i) = -i + 156. Let k be 3/(-2) + 12/(-16)*-2. List the prime factors of j(k). 2, 3, 13 Suppose 0 = -60*w + 58*w + 602. What are the prime factors of w? 7, 43 Suppose 11676 = 4*n - 6*m + 3*m, -3*m = 0. List the prime factors of n. 3, 7, 139 Let p be (2 + 3)/((-5)/(-2)). Let i(x) = 13*x**2 - 2. List the prime factors of i(p). 2, 5 Let t be 9/15 + (-24)/40. Suppose -5*b + 2*r + 485 = t, -5*b = 4*r - 9*r - 500. What are the prime factors of b? 5, 19 Let n(r) = -r**3 - r + 20. Let d be n(0). Suppose -w = w - d. Let p(c) = c**3 - 8*c**2 - 15*c + 5. What are the prime factors of p(w)? 5, 11 Let x be 4/(-3)*(0 + -12). Suppose 8*z - x = 8. Suppose 0 = -u + 3*s + 43 + 7, -z*u - 5*s = -150. List the prime factors of u. 2, 5 Suppose 0 = -5*g + 4*o + 33, 2*o + 2 = o. Suppose w + g*j = 17 + 23, -2*j = 8. Suppose -w = -2*r + 2*b - 14, -3*b + 57 = 4*r. What are the prime factors of r? 2, 3 Suppose 2*b + b = -15, 2*v - 257 = 5*b. What are the prime factors of v*(0 - 3)/(-6)? 2, 29 Let m be (-336)/15 + (-8)/20*-1. Let o = -37 - -6. Let h = m - o. What are the prime factors of h? 3 Let g = -24 + 48. Let l(z) = -5*z - 13. Let t be l(-11). What are the prime factors of (g/t)/((-2)/(-7))? 2 Let i(z) = -2*z + 110. List the prime factors of i(-10). 2, 5, 13 What are the prime factors of (480/64)/(3/116)? 2, 5, 29 Suppose -2736 + 307 = -7*g. What are the prime factors of g? 347 Let a = 170 - -421. What are the prime factors of a? 3, 197 Let k(r) = r**2 - 10*r - 11
{ "pile_set_name": "DM Mathematics" }
*x + 12 = -13. Let o = x - c. Put o, 5, 4 in decreasing order. 5, 4, o Suppose -152*q + 16 = -156*q. Let y = -3 + 3.1. Sort -0.2, q, y. q, -0.2, y Suppose -4*c - 21 = -a, a + c = 3*a - 49. Let s be (-10)/(-3) - (-8)/12. Suppose 0 = q + s*q - a. Sort 4, q, -3 in ascending order. -3, 4, q Let k be (-4)/2*20/(-30). Let a = -4 + 8. Let m = 99 + -497/5. Sort a, k, m in descending order. a, k, m Let y(h) be the second derivative of h**3/6 + 2*h**2 - 5*h. Let v be y(0). Put v, -2, -3/5 in descending order. v, -3/5, -2 Let c be (-7)/(-21) + 16/6. Put 0, c, -4 in increasing order. -4, 0, c Let s = 0.02 + 0.02. Let d = s + 0.56. Let c = -0.6 + d. Sort 0.4, c, 0.5. c, 0.4, 0.5 Let l = 666 - 662.97. Let t = l - 0.03. Let h = 6 - 1. Sort h, t, -0.5. -0.5, t, h Suppose -q - 8 = 2*n, -2*n + 20 = 3*n. Let p = q - -12. Put -3, 9, p in decreasing order. 9, -3, p Let i be -5 + 2/1 + -1. Let k = -432 - -436. Put k, i, 4/7 in ascending order. i, 4/7, k Let q be 1/((-48)/(-15) + -3). Sort 3, q, 0. 0, 3, q Suppose -3*b - 2*b = -15. Let w be ((-5)/2 + b)*0. Suppose j - 2 - 1 = w. Put -4, 2, j in descending order. j, 2, -4 Let m = -13 - -8. Let l = 4 + -4.4. Put 0.4, m, l in decreasing order. 0.4, l, m Suppose 5*d + 60 = -7*d. Let a(c) = -c**2 + 4*c + 5. Let i be a(4). Put i, 1, d in decreasing order. i, 1, d Let r = 0.28 - -1.02. Let b = -0.9 + r. Sort b, -4/3, -1. -4/3, -1, b Let z be -2 + (2 - 3)*0. Sort 5, 4, z in descending order. 5, 4, z Suppose -3*u + 17 = 2*g, 0 = -4*g + 5*u - 3 + 4. Sort -4, g, 3. -4, 3, g Let h(r) = r**3 + 5*r**2 + 4*r - 4. Let c be h(-4). Let y be c - (3 + -5 + -2). Put 10, 4, y in increasing order. y, 4, 10 Let w = -12 + 7. Let l = 2 + 3. Sort 0.2, w, l in decreasing order. l, 0.2, w Suppose -9 = -7*g + 12. Sort -2, -5, g. -5, -2, g Let k = -142 - -138. Sort k, 4, 2, 2/3 in decreasing order. 4, 2, 2/3, k Let d = -181 - -109. Let k be 2/10 + d/(-15). Put k, 0.3, -0.3 in decreasing order. k, 0.3, -0.3 Let y = 122 + -124. Sort -5, 5, -1, y in decreasing order. 5, -1, y, -5 Let x = -0.16 - 1.84. Sort 10, 0.5, x in descending order. 10, 0.5, x Let z = 325/4 + -81. Let t = -98825/48 - -2059. Let k = t - -3/16. Put z, 4, k in decreasing order. 4, k, z Let t be 39/(-9) + 2/6. Suppose -17 = 5*q + 3*z, -4*q + 25 = -9*q - 5*z. Let j(p) = -3*p - 2. Let o be j(q). Put o, t, -2 in decreasing order. o, -2, t Let s = -632 + 632.1. Let a be 1 + (-3)/(18/5). Sort 4/3, s, a in descending order. 4/3, a, s Let b = -39/160 + -5/32. Let n be 10/(-4)*(-4)/(-45). Sort n, -1/4, b in increasing order. b, -1/4, n Let n(m) = 3*m - 7. Let x be n(-5). Let b be 1/3 + x/12. Let u = b + 1. Put 3, -5, u in ascending order. -5, u, 3 Let q = 5.01 + -0.01. Let w = 0.03 - 0.05. Let s = 0.22 + w. Put q, -2/7, s in descending order. q, s, -2/7 Let k be 3 - (-1 - (-2 - -3)). Sort k, -1, -4 in decreasing order. k, -1, -4 Let s = -5 - -10. Let x(b) = -2*b - 15. Let m be x(-10). Suppose 3*o - 7 = -3*j + m, -s*j = 4*o - 15. Sort -3, 1, j in decreasing order. 1, j, -3 Let c = -6.82 - -7.4. Let l = c - 0.18. Sort -3, l, -2 in decreasing order. l, -2, -3 Let z = 95.2 + -95. Sort 0, -4, z, -1 in decreasing order. z, 0, -1, -4 Let l be 15/6*(0 - 2). Sort 3, l, -1 in increasing order. l, -1, 3 Let k = 8 + -13. Put k, 0.3, -0.7 in descending order. 0.3, -0.7, k Let z = -0.54 + 0.4. Let g = z + 4.14. Put g, -1/5, 2 in descending order. g, 2, -1/5 Let p = 2.1 - 7.1. Sort 4, -2/5, p. p, -2/5, 4 Let h = -9 - -4. Let m(b) = b**3 + 5*b**2 - 1. Let o be m(h). Sort 1, 3, o. o, 1, 3 Let i = 152 - 156. Put 0.11, i, 0 in descending order. 0.11, 0, i Let m(g) = -7 + 0 - g + 3. Let r be (1 - 2)/(2/10). Let l be m(r). Sort 3, l, 4. l, 3, 4 Let y be (2/6)/(2/30). Suppose o + 5*q + 20 = 6*o, -25 = y*o + 4*q. Let n = -9 - -6. Sort o, n, 1 in increasing order. n, o, 1 Let l be -1*10/65 + 0. Sort 1, -0.1, l in decreasing order. 1, -0.1, l Let h = 68 + -69. Sort 4, -5, h in descending order. 4, h, -5 Suppose 0 = j - 2*m - 2, 4*j + 4*m + 28 = -0*m. Put 4, j, 7 in descending order. 7, 4, j Let f = -8 - -13/2. Sort 1/6, f, 2 in decreasing order. 2, 1/6, f Let b(z) = -z**2 + 9*z - 21. Let m be b(6). Sort m, 6, 0, 5 in decreasing order. 6, 5, 0, m Suppose 2*f = -0*f + 28. Suppose -5*p + f - 39 = 0. Suppose -3*g = -g + 8. Put g, p, -2 in increasing order. p, g, -2 Let r = 38 + -36. Let c(l) = -l**2 - 2*l + 4. Let v be c(-4). Put v, 5, r in decreasing order. 5, r, v Let z(y) = 2*y - 4. Let x be z(3). Sort x, 4, -8, -2 in decreasing order. 4, x, -2, -8 Let a = -4 + 6. Suppose -37*l = -38*l + 1. Sort a, l, -4 in descending order. a, l, -4 Suppose 0*b - 20 = -4*b. Let x = b - 9. Sort x, 1, 0. x, 0, 1 Suppose 3*x = 16 - 4. Suppose -x*v = -v - 6. Sort 5, -2, v in increasing order. -2, v, 5 Let t = -33 + 35. Put 3, 4, -1, t in decreasing order. 4, 3, t, -1 Suppose n - 2*n + 5 = 0. Suppose n*b = 0, 3*c - 4*b + 3 = -9. Suppose -2*o - u - 4*u = -8, u = -2*o. Sort c, o, 3 in decreasing order. 3, o, c Let s = 8 - 3. Let x = -0.5 + -0.5. Let k = 4 + x. Put -1, k, s in decreasing order. s, k, -1 Let c(u) = 2*u - 6. Let z be c(7). Suppose -4*n + 3 = l, 7 = -2*n + 5*l - z. Let t be (4 + n + 0)/2. Sort 0, -4, t in descending order. t, 0, -4 Let z = 8.3 - 9. Let t = z + 0.4. Let i = -0.5 - t. Put i, -3, -5 in increasing order. -5, -3, i Suppose -17 = -2*t - 21. Sort 5, 0, 2, t. t, 0, 2, 5 Let w(j) = j**3 - 4*j**2 - 2*j + 5. Let r be w(4). Let k(y) = y + 7*y - 5 - y**2 + 2*y**2. Let q be k(-8). Sort q, -1, r in decreasing order. -1, r, q Suppose -2*f + 5 = -6*f - 3*l, 10 = 2*f + 4*l. Suppose 0 = 4*q - 5*a + 6, 2*a = -31*q + 30*q + 5. Let r be -2*1*3/(-2). Sort f, q, r in descending order. r, q, f Let v = -0.05 + 5.05. Let m = -5 - -1. Let l = 0.1 + -1.1. Sort l, v, m in descending order. v, l, m Let d = -16 + 13.1. Let c = -3 - d. Let p = -1 + 2. Sort 3, p, c in descending order. 3, p, c Let i = 8 + -7. Sort i, -1, 3 in decreasing order. 3, i, -1 Suppose 4*f + 5*i + 5 = 0, -f - 2*i + 1 = -0. Put 1, 5, f in descending order. 5, 1, f Let g = -66 + 66.2. Put -3, 2/113, g in decreasing order. g, 2/113, -3 Suppose i - 2 = 0, -4*p + 3*i + 44 = -6. Let b = 17 - p. Sort b, -4, -6 in increasing order. -6, -4, b Let l(m) = m**3 - 4*m**2 - 6*m + 7. Let y = 3 + 2. Let j be l(y). Let i = -6 + j. Sort 2/3, i, -1. i, -1, 2/3 Let l be ((-3)/(-11))/((-3)/2). Let k = -11 - -15. Sort l, k, 0.1 in decreasing order. k, 0.1, l Let c = 6 + -1. Suppose c*m = 4*m + 5*t, -5*m - t = 0. Let k = 64 - 65. Put -3, k, m in decreasing order. m, k, -3 Let t(h) = h**2 + 6*h - 12. Let u(v) = v**2 + 6*v - 13. Let w(k) = 5*t(k) - 4*u(k). Let p be w(-7). Put -4, p, 3 in decreasing order. 3, p, -4 Let k = 3 - 2. Let n = -1.5 + 1.8. Put k, n, -2 in increasing order. -2, n, k Suppose -w + 5*w - 16 = 0. Let i = 8 - 12. Suppose 1 - 6 = -5*s. Put i, w, s in descending order. w, s, i Let v = 3/16 + -91/16. Let o = v + 5. Sort -3, o, -5 in decreasing order. o, -3, -5 Let l be ((-4)/(-3))/((-6)/(-9)). Let x be (l/(-10))/(5/(-25)). Sort 2, 0, x in ascending order. 0, x, 2 Let j = 0.043 + 0.957. Put -0.5, 9, j in increasing order. -0.5, j, 9 Let a be 4 - 0 - (-14)/(-4). Put a, 0, -3 in decreasing order. a, 0, -3 Let h = 3 + -1. Let k = 7 - h. Let f = -2.97 + -0.03. Sort k, -3/5, f in decreasing order. k, -3/5, f Let d = 19 + -17. Sort -14, -2, d in decreasing order. d, -2, -14 Suppose 3*l - k + 1 + 12 = 0, 4*l - 4*k = -28. Suppose 9*w + 1 + 8 = 0. Sort w, -5, l in descending order. w, l, -5 Let l = 17 + -19. Sort -0.1, 5, -3/5, l in descending order. 5, -0.1, -3/5, l Let g = -10 - -14. Put -0.5, g, -4 in increasing order. -4, -0.5, g Let n = -4.4 - -4.3. Sort 0.3, -14, n in descending order. 0.3, n, -14 Let x(l) = -l**3 - 6*l**2 + 6*l - 7. Let y be x(-7). Suppose z + 0 - 1 = y. Suppose -5*u - 13 = -0*q - 4*q, u = -q + z. Put -4, -2, q in decreasing order. q, -2, -4 Suppose -2 = -w + f, -3 = 2*w + f - 1. Suppose w = -5*m + 2 + 23. Suppose 2*j + 1 = -m. Sort 5, j, -1. j, -1, 5 Suppose -9 = -5*s - 14. Let h = s - 3. Let q be (-2 - -2) + (-3)/8. Sort 4/7, h, q. h, q, 4/7 Let n be (4/10)/(2/10). Let k be ((-27)/(-12) - n) + -1. Put 1/2, k, -2 in ascending order. -2, k, 1/2 Let w = -0.8 + 0.4. Let p = 0.06 + -0.16. Sort p, -3/4, w in descending order. p, w, -3/4 Let k(f) = -f**2 - 4*f
{ "pile_set_name": "DM Mathematics" }
440*y**3/3 + 97*y**2/2 - y + 36. Is v(7) composite? False Let s(l) = -12*l**2 - 2*l + 12. Let b(a) = 11*a**2 + 3*a - 11. Let j(w) = 3*b(w) + 2*s(w). Let c(x) = x - 1. Let h be c(-6). Is j(h) a composite number? False Let o = 36943 - 24162. Is o a composite number? False Let b(c) = 303*c - 1709. Is b(14) a prime number? False Let m(j) = -414*j + 1. Let p(l) = -3*l**2 - 29*l + 11. Let f(k) = -6*k**2 - 58*k + 23. Let c(y) = -3*f(y) + 5*p(y). Let i be c(-10). Is m(i) composite? False Let k = 296 + -293. Suppose l - 16886 = -5*q, 2*q - k*l - 6758 = -7*l. Is q composite? True Let b(a) = 100*a**3 + 4*a**2 + a - 7. Let i(z) = 198*z**3 + 9*z**2 + 3*z - 14. Let k(j) = -9*b(j) + 4*i(j). Is k(-2) a prime number? False Is -6 - (-64940 + 18/(-2)) prime? False Let s(a) = -18*a**2 + 4*a + 11. Let y be s(-6). Let l(o) = -216*o + 42. Let k be l(-6). Let n = k + y. Is n a composite number? False Let b(y) = -17140 + 17020 - 2*y + 300*y. Is b(17) a prime number? False Suppose 58*y - 218*y + 107015200 = 0. Is y prime? False Suppose 0 = -f + 69*n - 67*n + 662169, -1986523 = -3*f + 2*n. Is f a prime number? True Let b(s) = 12089*s**2 + 11*s + 19. Is b(-2) a prime number? True Let k(f) = f**3 + 6*f**2 + 4*f + 26. Let p be k(-6). Suppose -q = p*q - 2*q. Suppose -3*i + 3*n + q*n = -1587, 3*n = 5*i - 2653. Is i a prime number? False Let h(v) = -186214*v**3 - 6*v**2 + 7*v + 14. Is h(-1) a composite number? True Suppose 0 = 3*i - 6, -p + 1242 = -3*i - 246. Suppose -o + 10663 = p. Is o a prime number? False Let l = 1335 - 415. Suppose n = 4*h - n - l, 4*n = -8. Let w = h + -106. Is w composite? True Suppose -17*l + 4852542 = -6827257. Is l a composite number? True Let r be 4*1 - 4/(-2). Suppose -r*t = -10*t + 7788. Let i = t + -1316. Is i a prime number? True Let k = -632167 - -969750. Is k composite? False Let x(j) = 3*j**2 + 2*j + 1. Let g be x(-2). Is g/(27/6) - -3717 composite? False Let a(t) = 9*t + 292. Suppose 0 = -5*h - 2*b - 8, 8 = 7*h - 11*h - 2*b. Let n be a(h). Suppose 4*x + 361 = 3*i - n, -3*i = 5*x - 608. Is i composite? False Let t(b) = -2*b**2 - 13*b - 3. Suppose 0 = -u + 5, 5*v + 5*u = -6 + 1. Let a be t(v). Is ((-1)/a)/((-1)/327) a composite number? False Let k(p) = 31 + 2*p**3 + 13 + p - 3610*p**2 + 3600*p**2. Is k(11) a prime number? False Suppose -5*f - 31731 = -3*b + 78101, -b - 5*f + 36564 = 0. Is b prime? True Let g(w) = 7101*w - 1738. Is g(5) a prime number? True Let f(g) = 20*g**2 + 26*g - 3. Let k be f(-20). Suppose -8*v + 1619 = -k. Is v a prime number? False Let k be (205*2/15 + -5)/(3/81). Suppose 0 = 5*l + 2070 - 520. Let r = l + k. Is r composite? False Is (20/(-170)*17)/(2/(-2229835)) composite? True Let l be (1 + (-3)/6)*14. Suppose -l*r - 12 = -11*r. Suppose 4*f + 3*p - 2965 + 146 = 0, -r*p - 9 = 0. Is f a composite number? True Let d(i) = -3 - 4*i - 7 + 130*i**2 + 0. Let u be d(-4). Let f = -551 + u. Is f composite? True Suppose 0 = -192*k + 6897 + 206991. Is k a prime number? False Let i(z) = -z**2 + 8*z - 4. Let h be i(6). Suppose u + 490 = h*u. Suppose -y - b + u = -56, 5*y - 618 = -b. Is y a composite number? True Suppose -14*g = 653 - 2053. Let r = 4107 - g. Is r composite? False Let h(s) be the first derivative of -3*s**4/2 - 3*s**3 - 7*s**2 - 13*s - 115. Is h(-6) a composite number? True Let n = 253644 - 120577. Is n prime? False Suppose -p + 4*r + 116877 = 0, 82*p - 2*r - 116885 = 81*p. Is p a prime number? False Is 8/((-360)/(-13781817)) + (-40)/(-100) a composite number? False Suppose 7668550 + 4327829 = 9*y. Suppose 47*w + 127052 - y = 0. Is w composite? False Let d(n) = n - 1. Let h(m) = 77*m + 2. Let l(o) = -2*d(o) + h(o). Let b be l(2). Suppose -3*f + b = 4*f. Is f a prime number? False Let j(n) = -1737*n + 1099. Is j(-46) a composite number? False Let n(c) be the second derivative of c**7/2520 - c**6/72 - c**5/60 + 3*c**4/2 - 2*c. Let x(m) be the third derivative of n(m). Is x(13) a prime number? True Suppose 6649 = 10*m + 37249. Let x = m + 4861. Is x a prime number? True Let p(d) = 3075*d**3 - 3*d**2 + 36*d - 299. Is p(8) composite? False Let a = 7534999 + -5332514. Is a composite? True Let z be ((-2192)/3)/((-2)/9). Suppose -13371 = -9*i + z. Is i a composite number? True Let t(a) = a**3 - 6*a**2 - 9*a + 15. Let r be t(7). Is (-1259)/(r/2*(27 - 29)) composite? False Let p be (-5)/30*-19846 + 6/(-9). Let h = p - -13296. Is h prime? True Suppose 38*d - 19470205 - 18715631 = -14*d. Is d prime? False Suppose -i = 207 - 215. Suppose 0*h - i = -4*h. Suppose 0 = 3*s + 6, -2*b + 1310 = h*b + 3*s. Is b a prime number? False Let t(y) = y**2 + y - 55. Let a be t(7). Suppose 5*u - 3*o - o - 3401 = 0, o = a. Is u prime? False Let c = -105 + 121. Suppose 26*i = c*i + 57490. Is i composite? False Let l = -149 + 156. Suppose -2*d + 1874 = 2*c, -921 = 6*c - l*c - 5*d. Is c prime? True Suppose 42*q - 38*q + 20 = 0, 3*w + 4*q - 197263 = 0. Is w a composite number? False Suppose -3*b + 3*f + 203749 = -859439, b = -3*f + 354376. Is b a prime number? True Suppose 9*c - 48 = 51. Suppose 0 = c*b - 618 - 383. Is b a composite number? True Is (((-6)/9)/2)/((-5)/(3 - -3278892)) a prime number? False Suppose 4*i = 3*b + 91061, 13*i - 4*b + 22789 = 14*i. Is i prime? True Is (70084624/27)/16 - 4/(-54) composite? True Let u(g) = 88*g**2 + 30*g - 47. Let p = -296 + 316. Is u(p) a prime number? True Suppose 566*b - 226914099 = -33598980 + 31506307. Is b composite? False Let g(c) = 8*c**2 + 9. Let u be g(3). Let s be 18/u - (-102)/27. Suppose 4*a - 350 = -2*h, -4*a + 101 = -3*a - s*h. Is a prime? True Suppose 2 = 25*l - 24*l. Suppose 4*t = 4*n - 3884, -l*n - 4*t + 1912 = -0*n. Let o = n + 767. Is o composite? False Suppose 3556*j - 5*k = 3561*j - 19062000, 0 = 3*j - 5*k - 11437192. Is j a prime number? True Let p = 205 - 205. Suppose p = 4*c + 16*c - 19180. Is c a prime number? False Let k be (-2)/8 + 93/4. Let h(u) = 61*u + 12 - 192*u - 44 + u**3 + 115*u - 19*u**2 - u**2. Is h(k) a composite number? False Let g = 4716 + -2658. Suppose 6*z - g = 38724. Is z a prime number? False Let d(y) = 102*y**2 + 112*y - 3. Is d(-10) a prime number? False Let y = 106 + -105. Is (-30639)/(-21) - y*-1 - 3 a prime number? False Let p(z) = 7*z - 58. Let x be p(10). Is x/3 - (-19836)/12 a composite number? False Suppose -60574416 = -816*r + 648*r. Is r a composite number? True Suppose -2 = 11*p - 16*p - 4*s, -4*p = -4*s - 16. Let c be 2/((-3)/(31794/(-4))). Suppose -h = 5, c = p*g + 2*h + h. Is g a composite number? False Let b(l) = -541*l - 3330. Is b(-23) composite? True Let b(o) = 135*o**2 - o - 1. Suppose -j + 4 = 2*v, 4*j - 2*v + 14 = -0*j. Is b(j) a prime number? True Let b be -3 + (-4 - (-4 - 6)). Suppose -24 = -b*x - 4*j + 1, 12 = 3*j. Suppose -x*t = 4*n - 5095, 0 = t + t + 4*n - 3402. Is t a composite number? False Let q(g) = -122587*g + 1657. Is q(-6) prime? True Let v be (-5 + -1 + 0)/(-1 + -1). Suppose v*g = 15, 6*g - 25 = 3*r + g. Suppose -4*a + 3*a + 157 = r. Is a a composite number? False Let f(u) = u**2 - 4*u + 7123. Let p be f(0). Let j = p + -3464. Is j a prime number? True Let b = 23 + -14. Suppose -31*z + 62 = -62. Is 614 - (1/z + b/12) composite? False Suppose -4 - 6 = -y. Suppose 20 = -y*d - 0. Let w(x) = 239*x**2 - 2*x - 2. Is w(d) a prime number? False Suppose q = 5*q - 3*w - 13521, 2*q + 4*w = 6766. Let l = q - 1688. Is l a composite number? False Suppose 21 = 4*r + 5*m, 5 = -3*r + 4*m + 13. Suppose 3*p - w - 6606 = 0, r*p + 4*w - 8815 = 3*w. Is p composite? False Suppose 0 = -l - 3, -2*o + l = 4*l + 11. Is (-6980)/(-5) - (0 + o/1) composite? True Suppose -15*b + 169048 = -4*b. Let o = b + -6661. Is o a prime number? True Let t be (-487 + 2)*2/2. Let p = 821 - t. Suppose 2*w = -v + 2087, 3*v - p = -5*w + 3912. Is w composite? True Is (-69)/184 - (-1490163)/8 - (20 + -12) a composite number? True Let n(w) = 7 - 81*w + 32*w + 46*w + 2295*w**2. Is n(2) composite? False Let y(b) = 243*b**2 + 35*b + 185. Is y(19) a composite number? True Let d(m) = -6*m**3 - 6*m**2 - m - 5. Let r(f) = -f**3 + f**2 + f. Let k = -15 - -14. Let h(p) = k*d(p) + 5*r(p). Is h(-6) a prime number? True Let f be (-4 - -3 - 1) + 3. Let z(u) = -2*u + 2*u**2 - 3 - 1 - 8*u**3 + 0 - f. Is z(-5) composite? True Suppose 0 = 222*j - 345703 - 72582 + 38887. Let z = 137 + -83. Suppo
{ "pile_set_name": "DM Mathematics" }
0, 5*q - z = -2*r + r. Solve -4*p = -3*f - 1, 3 = 2*f + r for p. 1 Suppose -25 = -2*u - 3*u. Suppose u*y - 48 = -2*l, 2*y + 3*l - 4 = 3*y. Solve 4*m - y = 5*h, -m - 3 + 5 = 4*h for m. 2 Let q(x) be the first derivative of 4/3*x**3 + 0*x + 0*x**2 - 2. Let v be q(-1). Solve -3*p = -3*m - p + 1, v*p + 3 = 5*m for m. -1 Let h = 5 - 3. Suppose 4*m + g = 4 - 16, -h = 5*m - 2*g. Let w be m/7 - (-214)/14. Solve -v - 5*n = -30, 3*v + 3*n - w = 15 for v. 5 Let i(q) = -30*q - 3. Let n be i(-3). Suppose -n = -5*k - c, -3 = -2*c + 1. Solve 2*d + 3*g = 4*d + k, d = -4*g + 19 for d. -1 Let x(m) = -m**2 + 5*m + 37. Let y be x(9). Solve 2*s - 2*o = -2, -2*o + y + 1 = 2*s for s. 0 Let x be (14 - -3 - -2)/1. Solve x = -4*f - 3*q, 3*f - 2*q = -4*q - 14 for f. -4 Let a be 4/(-3)*(0 - 3). Solve -3*s + 17 = -s + 3*n, -5*s - a*n = -25 for s. 1 Let v = 30 + -25. Solve -x + a = 2*x, 0 = -v*x + 3*a for x. 0 Suppose 4*c - 4*i = 16, -3*c - 4*i + 2*i - 3 = 0. Suppose -c = 3*w - 10. Solve 5*v = w*r + 9, -3*v + 2*r + 3 = -2 for v. 3 Let t(j) be the third derivative of -5*j**4/6 + j**3/6 + j**2. Let v be t(-1). Solve 3*c = 2*z + v, -c - 20 = -5*c for z. -3 Let j = -1 + 3. Suppose -2*i = -2*d, -j*d + 12 = i + i. Suppose -n + 4 = 3*u, -3*u - 5*n + 10 + 10 = 0. Solve g + 4*z - 3 = u, -g - 2*z + i = z for g. 3 Let g = -10 + 12. Suppose 4*x = -16 + 116. Solve 7 = 4*u + y, 0 = -g*y - 3*y - x for u. 3 Let x = -3 + 7. Let y(h) = -2*h**2 - h - 1. Let b be y(2). Let n = -6 - b. Solve n*v = 2*i + 1, x*i - 9 = v - 2 for v. 1 Let a(r) = 13*r**2 + 2*r + 2. Let m be a(-1). Solve 2*v = -2*s - 8 + 4, v = 2*s + m for s. -5 Let j(o) = 6 - 7 + o**2 - 9*o - 2*o**2. Let x be j(-9). Let z be (-1 + 2)/(x/(-2)). Solve 5*r = -2*w - z, -3*r + 3 = w + 4 for r. 0 Let d be (1 - 1)*(-2)/4. Suppose 6*s - 3*s - 3 = d. Solve -t + s = -3*z, t - 3*z + 19 = 5*t for t. 4 Let w(f) = f - 1. Let l be w(1). Suppose l = 4*d + b - 24 + 10, -d + 14 = -5*b. Solve -v + 4*k - 8 = 0, 0 = -v - d*k - 0*k for v. -4 Let f = -1 + 11. Suppose -f = -5*v + 35. Suppose -h = -3*t, t - 8 = -2*h - t. Solve 0 = q - i - v, -13 - h = 4*i for q. 5 Let b(l) = -l**3 - 4*l**2 - 2*l - 5. Let w be b(-4). Solve -25 = 5*n - 5*d, 0*n - 3*n - w*d = -3 for n. -2 Let l = 49 - 13. Suppose 4*y = 7*y - l. Solve -5*u + 45 = -4*m, -4*m - y = -3*u + 23 for m. -5 Let f(d) be the second derivative of d**3/6 + 3*d**2/2 - 2*d. Suppose 0 = -5*m + 2*m. Let b be f(m). Solve -3*p = 5*n - 6*n + 3, -p = -b*n + 9 for p. 0 Let d be ((-1)/(-1))/(3/15). Suppose -d*h + 11 + 4 = 0. Suppose 6*b - h*b = 12. Solve 0*f + b*f - 3 = 3*k, 2*k + 13 = -f for f. -3 Suppose 26*w - 4 = 24*w. Solve 0 = -w*y - 5*a - 9, 0*y + 5*a - 5 = 5*y for y. -2 Let t(v) be the first derivative of v**2/2 + 4*v + 2. Let w be t(-3). Let j be (w - -2)/(3*1). Solve -3*c = -3*b + j - 25, 4*c - 3*b - 29 = 0 for c. 5 Suppose 5*a - 9 = -5*w + 41, -2*w + 40 = -3*a. Solve 3*d + 1 + 2 = 3*n, -2*n - d = -w for n. 5 Let m = 7 + -10. Let u be -3*m*6/27. Solve -2*l + 2*i = u*l - 28, -5*l = 4*i - 9 for l. 5 Let y(r) be the second derivative of r**4/12 + 5*r**3/6 + 3*r**2/2 - 2*r. Let w be y(-5). Let u = -51 + 77. Solve 5*t = w*n + u, 3*n - 2*n - 3*t = -14 for n. -2 Let w(o) = -6*o**2 + 9*o + 3. Let a(b) = -5*b**2 + 9*b + 3. Let q(f) = -5*a(f) + 4*w(f). Let j be q(10). Solve -j - 13 = 4*h + 3*m, -2*h - 2*m - 12 = 0 for h. -2 Suppose -2*o = 5 - 3. Let x be 2*-1 - 1*-3. Let d be 5*x - 0/o. Solve 4*n = d*p + 31, 0 = -4*n + n + 3*p + 21 for n. 4 Let d = -1 + 4. Let q(c) = c + 15. Let l be q(-11). Solve 0 = 4*p, d*p - 3 = l*i + 1 for i. -1 Let z = -1 + 9. Suppose 9 = -5*m + z*m. Solve -2*l - 2*w + 11 = m*w, 4*w = 5*l - 11 for l. 3 Let t be (12/2)/(6/21). Suppose -o + 17 = -6*b + 3*b, 0 = -5*o - b + t. Solve w - 3*c = 2, o = -2*w - 2*c - 7 for w. -4 Suppose -8*r - 4 = -9*r. Let o be (-24)/16*r/(-3). Solve y - 3*c - 20 = 0, y + o*c = -3*c - 20 for y. 5 Let f = 10 + 9. Let i = f + -16. Solve -3*g - 5*u = 37, 4*g - i*u = -u - 6 for g. -4 Let s be 4/10 + 276/10. Suppose 4*j = 4*n + s, 4*j = 2*n - n + 16. Solve -j*q - 5*l = 0, 0 = 4*q - 9*q - 4*l for q. 0 Let i(m) = 2*m - 9. Let b be i(7). Solve -3*v + b = -8*v, 3*v = -5*g + 17 for g. 4 Let u be 1/(-3) + 2/6. Let p(z) = z + 14. Let k be p(-10). Suppose 3*m + 2*m - k*x - 76 = u, 3*m + 2*x = 50. Solve -y + j = -4, -2*y + 5*y - 5*j = m for y. 2 Let f(x) = x**3 + x**2 - x - 14. Let a be f(0). Let b be 18/(-63) - 102/a. Solve -5*y = -3*q + 6, b*q - 2*q = -5*y + 10 for q. 2 Let p be (-8)/(-3) + 2/6. Let d be (12/8 + -2)*0. Suppose d = 6*w - w - 25. Solve -i - 11 = -0*t - w*t, p*i = 4*t for t. 3 Let n be 6*((-30)/9 + 2). Let g be (-116)/n - (-1)/2. Let r be (-1 - -3)*g/6. Solve 3*u + 4 - 2 = -2*p, r = -5*p - 3*u for p. -1 Let r(y) = y + 1. Let t be r(4). Solve 33 = 2*l - t*q, -q = 2*l + q + 2 for l. 4 Let o(v) = v + 2. Let b(l) = -2*l**2 - 2*l + 2. Let d be b(-2). Let w be o(d). Suppose -3*j = j - 96. Solve 6*y - 3*y = -3*a, -4*y + 2*a - j = w for y. -4 Suppose 0 = 2*x - 5*r - 19, -r = 2*r + 9. Solve 5*n - 13 = -x*v, -n = 5*v - 22 + 1 for v. 4 Let d be (-15)/10*(-4)/3. Solve -10 = -3*b - d*b - 3*m, -3*b + m + 20 = 0 for b. 5 Suppose 25 = -2*m + 7*m. Solve -y = -m*o - 2, 4*o = 2*y + 3 - 1 for y. -3 Let s = -52 - -56. Solve 0*x = 4*x - g + 21, -24 = 4*x - s*g for x. -5 Let s = 109 - 107. Solve 2*r + 0*c = s*c - 20, -20 = -r - 5*c for r. -5 Suppose 5*h - 24 + 2 = 2*m, -3*m + 6 = -h. Let o(t) = -2*t + 1. Let v be o(3). Let b = v + 10. Solve -h*q = -3*q + 9, -b*q = f + 12 for f. 3 Let y = 62 - 60. Solve -4*d - 3*t - y = 0, -2*t = 5*d - 0*t + 6 for d. -2 Let l(b) = -b**3 + 8*b**2 + 10*b - 5. Let j be l(9). Let n = 0 - j. Let f be (n/(-2))/2 + 1. Solve -f = -a + 3*t - 5*t, -4*t = a - 4 for a. 0 Suppose 2*r = -r + 12. Suppose 0 = -6*h + r*h. Solve h = -q + p, -2*q = -5*p + 3 + 6 for q. 3 Let m be (-9)/(-4) - (3 - (-135)/(-36)). Solve t + 21 = -2*t + 5*z, 15 = -3*t + m*z for t. -2 Suppose 0 = -3*o - 6 - 0. Let k = -1 - o. Let l(r) = 6*r**2 - 1. Let v be l(k). Solve 0*b - v = 2*m - 3*b, 3*m + b = -13 for m. -4 Let m = -143 + 148. Solve 0*a - 10 = -2*a, 4*y - m*a + 9 = 0 for y. 4 Suppose 4*f - 16 = -3*k - f, 3*k = -f + 8. Suppose -c + 13 - 3 = 4*x, 2*x - 10 = k*c. Solve 5*m - x*u + 4 = 14, 20 = -4*u for m. -1 Let u(l) = l**3 + 7*l**2 - 2*l - 11. Let v be u(-7). Suppose 0 = 4*g - v*f - 53, 5*g - 2*f - 26 - 42 = 0. Solve -o + 2*h + 2 = 3*h, 3*h + g = o for o. 5 Let t(l) = -2*l - 5. Let a be t(-4). Let d = 35 - 29. Solve u - d*u - a*y = 10, y - 10 = 5*u for u. -2 Let m be 1/(3/198*2). Suppose -5*i = x - m, -4*x = 4*i - 43 - 9. Solve -n + 2 - x = -5*d, -5*d = 5*n for n. -1 Let g(d) = -3 + 1 + 8*d + 3. Let t be g(1). Suppose -2*n - n = -t. Solve 3*x + 5*p - 18 = 0, n*x + 5*p = 3*p + 9 for x. 1 Suppose -4*n - 5*m = -43, 4*n - 7 = 3*n - 5*m. Solve 3*z = 3*a - 4 + 16, a - n = -3*z for z. 4 Let v = -3 - -5. Suppose t - 5*z = -10, -v*z - 2*z = -12. Solve 3*c - 2*p = -4 - 1, t*p + 25 = -5*c for c. -3 Suppose -2*s = 3*b - 15, 19 = 2*s + 5*b - 2. Let i = 4 - 1. Solve o + s*y - 1 - 9 = 0, -i*o + y = 0 for o. 1 Let g(t) = -4*t - 6. Let s be g(-2). Solve -3*w + 6*w + 4*o = -4, 0 = w + s*o + 2 for w. 0 Suppose -7 = 4*t + 21. Let m(g) = -g**3 - 7*g**2 - 2*g - 9. Let s be m(t). Solve 0 = l - c, 5*c - 3*c = s*l + 9 for l. -3 Let f(t) = t**3 + 9*t**2 - 2*t - 6. Let d be f(-9). Let g be 1 + 1 - d/(-6). Solve -w = 4, 0*w = g*h - 2*w - 8 for h. 0 Let q be ((-12)/(-14))/(1/14). Let i = -10 + q. Solve i*t + r - 20 = -3*t, 0 = 4*r - 20 for t. 3 Suppose 0 = 5*m - 3 - 77. Suppose -2 = g - 2*g. Suppose 3*z - 21 = -3*u, g*u - 31 = -5*z - 2*u. Solve -z*k - 3*n = -6*n - 9, 4*k = 5*n + m for k. -1 Suppose 2*m + 25 = 5. Let t = m + 15. Solve t*s = -0*h + 4*h + 35, 5*h + 3*s = -16 for h. -5 Suppose k + 4*k = -5. Let t be k/4 - (-84)/16. Let d(l) = l**3 - 3*l**2 - 6*l. Let i be d(t). Solve -i = -5*x + 2*g + 3, 5*x - 26 = -g for x. 5 Let s be 2/(-5*2/(-65)). Suppose 0 = 11*w - s*w + 48. Solve f - 4*x = -w, -2*f - 9 - 14 = -3*x for f. -4 Let v(p) = p**3 - 2*p**2 - p - 3. Let i be v(3). Solve 4*k = 5*h - 12, k + h = 3*h - i for k. -3 Let n be ((-2)/(-9))/((-2)/(-18)). Solve -3*q - 23 = -2*b, -q - 13 = -4*b + n*b for q. -5 Suppose -3*j = -2 - 1, f - 1 = j. Suppose f*c - 4 = 2*k, c + 3*k = 2 - 8. Let u be (0 + -1)*(c + -3). Solve
{ "pile_set_name": "DM Mathematics" }
ose -4*c + 4266 + 6 = 0. Let k = -302 + c. What is the hundreds digit of k? 7 Suppose 41*y = 88 + 18895. Let p = -157 - -448. Let c = y - p. What is the tens digit of c? 7 What is the hundreds digit of (3/(-10))/((-172)/20896280)? 4 Suppose 53*f + 68*f - 1768846 = 1388528. What is the units digit of f? 4 Suppose -l = -10*l + 36. Suppose -89 = -3*z - l*q, 166 = 5*z - 3*q + 37. Let s = 15 + z. What is the units digit of s? 2 Let m(h) = -13*h**2 - h - 1. Let x be m(1). Let l be (4/(-5))/(1/x). Let a(b) = 5*b - 5. What is the tens digit of a(l)? 5 Let w(m) = -40*m**3 - 5*m**2 - 10*m - 4. Suppose 2*g - 6 = 5*b, 10 = g - 4*g - 2*b. Let v be w(g). Let y = v - 163. What is the units digit of y? 3 Let c = 20356 + -13334. What is the hundreds digit of c? 0 Suppose -u + 28 = s + 3*u, 101 = 5*s + 7*u. Suppose d + 6*l - 2*l = 757, -3*d + 2*l = -2229. Suppose -21*v + d = -s*v. What is the hundreds digit of v? 1 Let d(w) = 950 + 4*w - 2*w + w - w - 44. What is the hundreds digit of d(0)? 9 Suppose 3*z + 48118 = -3*y - z, y + 5*z = -16032. What is the units digit of 6/(-33) + y/(-22)? 9 Let q(z) = z**2 - 2*z - 121. Let m be q(0). Let n = m + 122. What is the units digit of (-4)/(16/428)*n/(-1)? 7 Let k = 7013 - -5943. What is the hundreds digit of k? 9 Suppose -3*h + 7*h = 2*h + 330. What is the hundreds digit of h? 1 Suppose 1368011 + 6040539 = 495*t - 8575000. What is the tens digit of t? 9 Let l be 162/45 + 6/(-10). Suppose l*m + 852 = 3*y, -3*y - 1465 = -8*y - 4*m. What is the units digit of y? 9 Suppose 3*n - 8 = -2*q, -11 = -5*n - 5*q + 4. Suppose 8 = n*r, 3*x - 5*r - 85 = -2*x. Suppose 4*u + x = -5*i, u - 2 = i + 4. What is the units digit of u? 1 Let h be 6/(-27) - (-2387)/9. What is the tens digit of (261/145)/(3/h)? 5 Let c be (2/1 - 2)*1/(-2). Suppose -4*w + 440 + 132 = -4*n, c = 4*n - 8. Suppose 575 = 16*d - w. What is the tens digit of d? 4 Let w = -209 - -215. Suppose 704 = 2*d + 3*b, -10*d + w*d + 2*b = -1392. What is the hundreds digit of d? 3 Suppose 4*r + 147 = s + 9*r, 0 = -4*s - 3*r + 503. Let c = 190 + s. What is the hundreds digit of c? 3 Let f = -32 + 43. Let z(c) = -c + 11. Let w be z(f). Suppose 11*m - 16*m + 95 = w. What is the tens digit of m? 1 Let p(r) = -20*r**2 - 9 - 15*r - 3*r**3 + 8*r**3 - 6*r**3. What is the tens digit of p(-20)? 9 Let s be ((-6)/12)/(0 - 3/108). Suppose -42 = s*t - 4758. What is the hundreds digit of t? 2 Let z(b) = b**3 + 6*b**2 - b - 2. Let v be z(-6). Let w(d) = v*d - 62*d**2 - 4*d + 63*d**2 - 13. What is the tens digit of w(-5)? 1 Let g = 31 - -334. Let h(j) = j - 5. Let o be h(9). Suppose 5*n = 4*n, 5*s = -o*n + g. What is the units digit of s? 3 Let q = -128 - -128. Suppose -5*o - 5*n + 1935 = q, 0 = -10*n + 5*n. What is the hundreds digit of o? 3 Let q be (-58)/(5/25*(-4)/2). Suppose -s - 155 = -6*s. Suppose s*m - 36*m + q = 0. What is the units digit of m? 9 Let c(o) = 26*o**2 - 3*o - 14*o + 17*o - 2. Let i be c(-2). Let x = 132 - i. What is the units digit of x? 0 Suppose 19*c - 739652 = -47*c + 379444. What is the units digit of c? 6 Let f = 26 - 21. Suppose -p + 2*p + f*i = -5, -3*p + 5*i = -25. Suppose 1203 = p*t + y, 966 = -0*t + 4*t + 2*y. What is the units digit of t? 0 Suppose -46609*z = -46628*z + 1406988. What is the tens digit of z? 5 Suppose 2*c - 1275 = -319. Let s = -226 + c. Suppose 4*j + w = -j + 256, -5*j = -3*w - s. What is the units digit of j? 1 Suppose 0 = 713*j - 203*j - 3741870. What is the tens digit of j? 3 Suppose 14*u = -786 + 226. What is the units digit of (-32)/u - (2844/(-10))/2? 3 Let a = -201 + 141. Let q be (-90)/a - 34/(-4). Suppose 60 = 12*j - q*j. What is the units digit of j? 0 Let w(k) = k**2 + 5*k - 19. Let n(f) = 9*f**2 - 2*f**3 - 35 + 29 + 4*f**3 - 17*f. Let j be n(-6). What is the units digit of w(j)? 5 Let t(o) = -64*o - 120. What is the tens digit of t(-20)? 6 Suppose -66 = -7*c + 53. Suppose -4*g + 15 = 4*d - c, 3*g = 5*d - 16. Suppose g*a - 3*i = 483, 2*i + 808 = 5*a - 0*i. What is the hundreds digit of a? 1 Suppose 13*v - 17*v + 3396 = 0. Suppose 0 = -11*r + 8*r + v. What is the hundreds digit of r? 2 Let d(n) = -n**3 - 8*n**2 - 6*n - 8. Let h be d(-8). Let q(x) = -3*x**3 + 4*x + 2. Let m be q(-2). Let c = h - m. What is the units digit of c? 2 Let t = 47818 - 23556. What is the units digit of t? 2 Suppose 0 = -d + 13*d - 3540. Let y = d - 423. Let z = -87 - y. What is the units digit of z? 1 Let j be -3 - (-249 + 0)*(-3)/(-9). Suppose -83*x = -j*x - 2688. Suppose 15*h - x = 8*h. What is the tens digit of h? 2 Suppose -2*b = g - 1265, 5*b + 5*g - 859 = 2316. Suppose x + 4*x = -b. Let q = x + 216. What is the units digit of q? 0 Suppose -2*x - 3*x - 126 = -p, -4*p = 4*x - 624. Let s be (-28)/(-6) - (-4)/12. Suppose p = s*a + 36. What is the tens digit of a? 2 Let g be (-6)/(-5)*10/3. Suppose 2*p + 8 = 6*p, -g*s = -2*p - 704. Let q = -103 + s. What is the tens digit of q? 7 Let d = -644 + 624. Let h(p) = 2*p**2 + 29*p + 54. What is the hundreds digit of h(d)? 2 Let s be (26/(-52))/(-1*2/5272). Let k = s - 771. What is the tens digit of k? 4 Let j be 8/20 - (-214)/(-10). Let t = -18 - j. Suppose -2*h - 218 = -7*h - 3*d, t*h - 130 = -2*d. What is the units digit of h? 6 Suppose -f - 11*b + 16*b = -6, -2*b - 4 = 0. What is the hundreds digit of 956 + f - 20/4? 9 Suppose -2*x - 6*x = -80. What is the hundreds digit of 220/(-10)*(-155)/x? 3 Let p(z) = 3313*z - 1283. What is the hundreds digit of p(12)? 4 Let l be (-2)/(3 - 5)*(1 - -2). Suppose -l*i + 8 + 1 = 0. Suppose 4*x = 4*n - 376, -x - i*x = -3*n + 285. What is the tens digit of n? 9 Let i(d) = -33*d**2 - 10*d + 3. Let z be i(7). Let h be (-24)/42 - z/7. Let x = -100 + h. What is the hundreds digit of x? 1 Let f(u) = 644*u**2 + 54*u - 132. What is the hundreds digit of f(3)? 8 Suppose 16*o + 207 = -53*o. What is the units digit of 60/(-18)*4*o/1? 0 Let z(k) = -k**2 - 3*k**2 - 13*k - 4*k**2 + 6*k**2 + 9. Let o be z(-7). Suppose 5*r - 135 = 2*c, 0 = -3*c - o - 13. What is the tens digit of r? 2 Suppose -16*y + 461342 = 11*y + 142040. What is the hundreds digit of y? 8 Let g = 598 - 607. What is the thousands digit of 3354*(-4)/8*6/g? 1 Let c = 128300 - 54607. What is the units digit of c? 3 Let z = 12 - -26. Suppose -2*w + 106 = z. What is the units digit of (w - 1)*4/9*3? 4 Let z = 1348 - 1042. Let l be (-3058)/(-6) - (-1)/3. Let h = l - z. What is the tens digit of h? 0 Let x(p) = -6*p**2 - 3*p - 1. Let z be x(-1). What is the tens digit of 0 - (1 + z - (-473)/(-1))? 7 Let r be 4/(-12)*-3 - -4. Suppose 79 - 144 = -r*v. What is the hundreds digit of (1*v)/((3 + 4)/133)? 2 Let y = 2348 - 621. Let f = y + -698. What is the thousands digit of f? 1 Suppose 19*z - 6664 = 117330. What is the thousands digit of z? 6 Let v(w) = 129*w + 21. Suppose -24 = 13*r - 19*r. What is the tens digit of v(r)? 3 Let o be (51/(-102))/((-2)/(-12)). What is the units digit of (-11)/o + -3 - (-1336)/3? 6 Let m = 28425 + -14591. What is the units digit of m? 4 Let p = 12 + -9. Let x be (12/3 + -3)*p. Suppose -3*n - f = f - 175, -5*n + 290 = x*f. What is the units digit of n? 5 Let r = 56918 - 18789. What is the units digit of r? 9 Let c(g) = -g**2 - 2*g - 27. Let t be c(23). Let f = t + 1131. What is the hundreds digit of f? 5 Let w(h) = -h**3 - 5*h**2 + 6*h - 12. Let u be w(-6). Let i(f) = -f**3 - 10*f**2 + 25*f - 5. Let o be i(u). What is the units digit of (-3 + 23)*o/(-4)? 5 Suppose -2*a - 3*a = -4*a. Let y be 0 + a + (2 - (-32)/(-4)). Let d(q) = -q**3 - 4*q**2 - 3*q - 11. What is the units digit of d(y)? 9 What is the ten thousands digit of ((-14)/(-147)*-28)/(4/(-15810))? 1 What is the hundreds digit of -23437*(-25)/(-100)*-4? 4 Suppose 0 = 4*q + 4*w - 156, 0*q + 2*w = 3*q - 107. Let v = -43 + q. What is the tens digit of 3 + (-6)/4 + (-459)/v? 7 What is the tens digit of (-18 + 0)*(-5 + (-50815)/30)? 7 Let h = 56881 + -40000. What is the hundreds digit of h? 8 Suppose 0 = 1165*d - 1155*d - 47310. What is the hundreds digit of d? 7 Suppose -1673*w = -1669*w + o - 148838, 2*o + 4 = 0. What is the ten thousands digit of w? 3 Suppose -w + x = 4, x = -0*w + 4*w + 10. Let d be ((-218)/(-3))/(w/(-9)*-3). Let c = d - -167. What is the units digit of c? 8 Let n = 48714 + -31513. What is the thousands digit of n? 7 Let v = 369 -
{ "pile_set_name": "DM Mathematics" }
-sqrt(2) + 5 Simplify ((-2*sqrt(12))/sqrt(4))**2*-3 + 2. -34 Simplify (2*sqrt(300)*-1*-4)**2. 19200 Simplify (1*sqrt(112)*1)**2. 112 Simplify (sqrt(1584) + 2 + 2 - sqrt(1584))**2 + -2. 14 Simplify (sqrt(550)*1 - sqrt(550))/sqrt(1250). 0 Simplify sqrt(170)/(-2*(sqrt(40) + sqrt(10))) + 1*sqrt(68)/sqrt(4)*-6. -37*sqrt(17)/6 Simplify (sqrt(1536) - (sqrt(1536) + -4*sqrt(1536)))/sqrt(8). 32*sqrt(3) Simplify (sqrt(76)*4 + sqrt(76))/sqrt(4) + sqrt(19) + 2. 2 + 6*sqrt(19) Simplify sqrt(84)/(sqrt(12) - (2*sqrt(72))/sqrt(6)). -sqrt(7) Simplify (4 + -3 + sqrt(3) + -2 + sqrt(3) + sqrt(3) + 0 + -1)**2. -12*sqrt(3) + 31 Simplify (-4*(-2 + -3 + sqrt(1216) + sqrt(1216)))**2. -2560*sqrt(19) + 78224 Simplify (sqrt(1100) - ((sqrt(1100) - (sqrt(1100) - sqrt(1100)*-4)) + 2))**2. -200*sqrt(11) + 27504 Simplify 0 + (-2*sqrt(363) + 0 + (sqrt(363) - -5*(1 + sqrt(363))))**2. 440*sqrt(3) + 5833 Simplify -1*6*sqrt(1100)*-2. 120*sqrt(11) Simplify ((sqrt(2299) + -4*(-1 + sqrt(2299)))**2 + sqrt(2299)*1 + -2)*6. -1518*sqrt(19) + 124230 Simplify (sqrt(243) + sqrt(243) + 1 - (sqrt(3) - (sqrt(18)/sqrt(6)*-4 - sqrt(3))))**2 + -5. 24*sqrt(3) + 428 Simplify (-2 + -2*sqrt(832)*5)**2 + 4. 320*sqrt(13) + 83208 Simplify -2*(sqrt(1584) + ((0 + sqrt(1584))*-1)**2) + 2. -3166 - 24*sqrt(11) Simplify -4*1*(sqrt(19) + 1*sqrt(19)). -8*sqrt(19) Simplify sqrt(22)/(sqrt(11)*-4) + 4. -sqrt(2)/4 + 4 Simplify sqrt(88)/(sqrt(648) + 2*sqrt(648)). sqrt(11)/27 Simplify -2*(((-1 + sqrt(147))*6 + sqrt(147))*3)**2. -130302 + 10584*sqrt(3) Simplify ((sqrt(27) - (sqrt(27) + 1*sqrt(27)))*-2)/((sqrt(9) - 2*sqrt(9))*5). -2*sqrt(3)/5 Simplify ((6*(sqrt(130)*-2 + sqrt(130) - sqrt(130)))/((sqrt(120)/sqrt(2))/sqrt(6)))**2. 1872 Simplify -2 + (-3*sqrt(39)/(1*sqrt(243)))**2. -5/9 Simplify (-5*(-2 + sqrt(11)) + (sqrt(110)*1)/sqrt(10))**2. -80*sqrt(11) + 276 Simplify (1*sqrt(78)*-1 - sqrt(78))/(-1*sqrt(6)*-1). -2*sqrt(13) Simplify sqrt(21)/((sqrt(27)*1 + sqrt(27))/sqrt(9)). sqrt(7)/2 Simplify (-5*sqrt(99)*-1)/(sqrt(72)/(sqrt(8) - (sqrt(8) - sqrt(32)/sqrt(4)))). 5*sqrt(11) Simplify (-2*-1*sqrt(153))/(-5*sqrt(9)*1). -2*sqrt(17)/5 Simplify 3*(sqrt(612) + (4 + sqrt(612) + -1)**2). 126*sqrt(17) + 1863 Simplify ((sqrt(25)/sqrt(80))**2 - sqrt(5))*-1. -5/16 + sqrt(5) Simplify (-1*-1*sqrt(40))/sqrt(8)*3. 3*sqrt(5) Simplify -4*4*sqrt(30)/(sqrt(6) - sqrt(384)/sqrt(4)). 16*sqrt(5)/3 Simplify (sqrt(3564) + (sqrt(3564)*1 - sqrt(3564)))/(sqrt(8)/sqrt(2)*-4). -9*sqrt(11)/4 Simplify -2 + sqrt(48) + sqrt(6)/sqrt(2)*3 + -1. -3 + 7*sqrt(3) Simplify (sqrt(880)*-3)/(sqrt(25)/(sqrt(5) - sqrt(125) - sqrt(5)) - sqrt(5)). 10*sqrt(11) Simplify sqrt(36)/(sqrt(36)/(sqrt(3)*-2)) - (-4 + sqrt(27) + 2). -5*sqrt(3) + 2 Simplify 6*-1*(sqrt(704) + 0 + (sqrt(44)/sqrt(4))**2 + 2). -48*sqrt(11) - 78 Simplify (sqrt(27)/sqrt(225) - sqrt(36)/sqrt(3))**2*6. 1458/25 Simplify -5*sqrt(176)*-4*6. 480*sqrt(11) Simplify (sqrt(637) + -3 + 5)**2 + sqrt(637) + -2. 35*sqrt(13) + 639 Simplify ((sqrt(84) + 1*sqrt(84) + sqrt(84))*3 - sqrt(84))/((sqrt(48) + sqrt(144)/sqrt(3))/sqrt(4)). 4*sqrt(7) Simplify (-3*(sqrt(153) - sqrt(153)*-1))/(-4*sqrt(9)*-1 + sqrt(9)). -6*sqrt(17)/5 Simplify 6*(sqrt(288) - sqrt(288)*-1)**2. 6912 Simplify ((sqrt(252) + 0 + -3)*-3 + 0)**2. -324*sqrt(7) + 2349 Simplify ((sqrt(448) + 0)**2*4 + sqrt(448) - sqrt(448))*-3. -5376 Simplify ((sqrt(52) + -5*sqrt(208))/(-2*sqrt(16)/sqrt(4) - sqrt(4)) + 1)**2. 6*sqrt(13) + 118 Simplify (-1*(2 + sqrt(847)))**2. 44*sqrt(7) + 851 Simplify ((5*(1*sqrt(114) - sqrt(114)))/(sqrt(24)*1))**2. 0 Simplify 6*(3 + sqrt(5) + sqrt(80)). 18 + 30*sqrt(5) Simplify (sqrt(80)*5*-5)**2. 50000 Simplify (-2 + 0 + sqrt(500))**2*-2. -1008 + 80*sqrt(5) Simplify 4*(sqrt(5) - (sqrt(180) + -1)). -20*sqrt(5) + 4 Simplify 4*(sqrt(14) + sqrt(14)*-2)/sqrt(7). -4*sqrt(2) Simplify ((sqrt(1400)*1)/(3*sqrt(10)/sqrt(5) + sqrt(2)))**2. 175/4 Simplify 6*((sqrt(13) + -1)*-5 - (sqrt(13) + -4*(sqrt(13) + sqrt(52)))). 30 + 36*sqrt(13) Simplify (((sqrt(33) - (sqrt(33) + sqrt(165)/sqrt(5))) + sqrt(33))/sqrt(3))**2 + sqrt(99)/(sqrt(54)/sqrt(6)). sqrt(11) Simplify -3 + sqrt(14)/sqrt(2) + sqrt(7) - (4*(sqrt(112) - sqrt(7)))**2. -1011 + 2*sqrt(7) Simplify (1*sqrt(189))/((2*sqrt(36))/sqrt(12)). 3*sqrt(7)/2 Simplify (sqrt(24) - sqrt(96))/sqrt(8) - sqrt(21)/(sqrt(28)/sqrt(4)). -2*sqrt(3) Simplify 1*sqrt(117)/sqrt(36). sqrt(13)/2 Simplify (4 + 2*sqrt(300) + sqrt(300))**2 + (-5 + 1*sqrt(3)*-1)**2. 250*sqrt(3) + 2744 Simplify (-2*sqrt(8)*-3)**2 + sqrt(968) + 1 + sqrt(968). 44*sqrt(2) + 289 Simplify -4 + (sqrt(19) - (sqrt(19) - sqrt(228)/(sqrt(24)/sqrt(2)))) + -2. -6 + sqrt(19) Simplify (-1 + sqrt(72))*-1 + -3 + (sqrt(72) + -1 + sqrt(72) + sqrt(72))**2. -42*sqrt(2) + 647 Simplify ((sqrt(78)*-1)/sqrt(6))**2 - (sqrt(78)/sqrt(6))**2*1. 0 Simplify ((sqrt(48)/sqrt(4))/sqrt(4) - sqrt(9)/(-2*sqrt(3)))*-2. -3*sqrt(3) Simplify sqrt(204)/(sqrt(108)/(sqrt(9) + sqrt(63)/sqrt(7) + sqrt(9))). 3*sqrt(17) Simplify sqrt(133)/(sqrt(28)/sqrt(4)) + (-4 + -2 + sqrt(19))**2. -11*sqrt(19) + 55 Simplify 1*sqrt(68) + 2 - (0 + (sqrt(17) - (sqrt(1088) + 1 + sqrt(17)))**2). -1087 - 14*sqrt(17) Simplify 3 + (sqrt(72)*-5 + sqrt(2))**2 + 0. 1685 Simplify (5 + sqrt(12))*2. 4*sqrt(3) + 10 Simplify 1 + 5*(-1 + (sqrt(13) + -1 + sqrt(13))**2). -20*sqrt(13) + 261 Simplify ((sqrt(22)*-3 - sqrt(22))*-4)/sqrt(11). 16*sqrt(2) Simplify (sqrt(2) - (sqrt(8)/sqrt(4))**2*-2) + (sqrt(100) + sqrt(4) - sqrt(4) - sqrt(4))/sqrt(2). 4 + 5*sqrt(2) Simplify 4*(sqrt(17) + sqrt(833)) + 3 + sqrt(1377). 3 + 41*sqrt(17) Simplify ((sqrt(605) + -1 - sqrt(605)) + -3*(sqrt(10)/sqrt(2))**2)*-4. 64 Simplify (-4*-2*sqrt(26))/(-3*sqrt(2)*5). -8*sqrt(13)/15 Simplify sqrt(833)*4 - (sqrt(272)*2 - sqrt(272))**2. -272 + 28*sqrt(17) Simplify (sqrt(147) + -1 + sqrt(147) + -1 + 1*(sqrt(147) + (sqrt(147) - (1 + sqrt(147))) - sqrt(147)) + -1)**2. -112*sqrt(3) + 604 Simplify (sqrt(187)*-2*-4)/(sqrt(1584)*-2 + sqrt(11)). -8*sqrt(17)/23 Simplify -1 + sqrt(153) + -5. -6 + 3*sqrt(17) Simplify (sqrt(66) + (-5*-2*sqrt(66) - sqrt(66)))/(-2*(sqrt(6) - (sqrt(96) - sqrt(6)))). 5*sqrt(11)/2 Simplify -5*(-3 + sqrt(60)/(sqrt(192)*-1)). 5*sqrt(5)/4 + 15 Simplify ((-3*sqrt(110))/sqrt(10))**2 + (sqrt(121) + sqrt(121) + -3*sqrt(121))/sqrt(11). -sqrt(11) + 99 Simplify 6*(sqrt(162) + 1 - sqrt(162)) + 3. 9 Simplify ((sqrt(324) - 2*sqrt(324))/sqrt(12) + sqrt(27))*1. 0 Simplify (-4*sqrt(243)*1 + -5)**2 + -2. 360*sqrt(3) + 3911 Simplify (sqrt(343)*2)**2 + 4. 1376 Simplify (3*sqrt(242) - sqrt(242)) + sqrt(288) + 1. 1 + 34*sqrt(2) Simplify (sqrt(72)/(sqrt(6) + sqrt(24)))/(2*sqrt(216)). sqrt(2)/36 Simplify 1 + sqrt(128) + -4*sqrt(128)*-1. 1 + 40*sqrt(2) Simplify sqrt(44) + -1*sqrt(44) + 1 + 4 + (-6*sqrt(44)/sqrt(4))**2. 401 Simplify (sqrt(77) + (sqrt(77) + sqrt(77) + 1*sqrt(77) + sqrt(77) + sqrt(77))*1)/(sqrt(1008) - (sqrt(1008)*1 - sqrt(1008))). sqrt(11)/2 Simplify sqrt(20)/sqrt(490) + 0. sqrt(2)/7 Simplify (5*sqrt(66)/(sqrt(6) - sqrt(216)*3))**2. 275/289 Simplify (-3 + (sqrt(243) - (sqrt(243) + sqrt(243) + sqrt(243)*1)))**2 + 2*sqrt(3)*-1*6. 96*sqrt(3) + 981 Simplify (1*sqrt(76) + 3)**2 + 4. 12*sqrt(19) + 89 Simplify -3 + (-6*sqrt(126)/sqrt(6))/sqrt(3). -6*sqrt(7) - 3 Simplify (sqrt(52) + (sqrt(832) - (1*sqrt(832) + sqrt(832))))/(-1*sqrt(256)). 3*sqrt(13)/8 Simplify (sqrt(225)*2)/sqrt(5). 6*sqrt(5) Simplify 6*((sqrt(147) + -1 + sqrt(147))**2 + -4). -168*sqrt(3) + 3510 Simplify -4*-5*sqrt(52)/sqrt(4). 20*sqrt(13) Simplify (1 + sqrt(2736))**2 + sqrt(19) + 3 + 3. 25*sqrt(19) + 2743 Simplify (-1 + sqrt(2736) + sqrt(931)*1)**2. -38*sqrt(19) + 6860 Simplify -3 + ((sqrt(19) - sqrt(19)*-3*2) + 6*3*sqrt(19))**2. 11872 Simplify (sqrt(1900) + -1 - sqrt(1900)) + -5. -6 Simplify (sqrt(180) - (sqrt(180) + -3)) + sqrt(180) + (sqrt(180)/sqrt(4))/sqrt(9). 3 + 7*sqrt(5) Simplify (sqrt(32) - (sqrt(32) - -2*sqrt(512) - sqrt(32)))**2. 1568 Simplify -1*(sqrt(17) - (sqrt(17) + (2 + sqrt(272) - sqrt(272))**2) - sqrt(17)). 4 + sqrt(17) Simplify sqrt(13) + 1*sqrt(637) - ((sqrt(26) + (sqrt(26) - sqrt(104)))/sqrt(2))**2. 8*sqrt(13) Simplify (3*sqrt(13)*2*-4*6)**2. 269568 Simplify 3*(-3 + sqrt(363)*3)**2. -594*sqrt(3) + 9828 Simplify (sqrt(425)*-1)**2 + (sqrt(1700) + sqrt(1700)*4)**2 + sqrt(17). sqrt(17) + 42925 Simplify (0 + 5*sqrt(10)/sqrt(2))*-6. -30*sqrt(5) Simplify (sqrt(121) - -1*s
{ "pile_set_name": "DM Mathematics" }
t is the units digit of j? 1 Suppose 0 = -0*j - 5*j. Suppose -z + 0 - 4 = j. What is the tens digit of (z/6)/(3/(-171))? 3 Let s be 4 - (-2 - (-3 - 1)). Suppose 0 = s*h - 81 - 25. What is the tens digit of h + (-2 - 2 - -1)? 5 Let o(i) = -i**2 + 5*i + 16. Let l be o(7). Suppose l*x - 83 = 37. What is the tens digit of x? 6 Let z(d) = 5*d + 37. Let p(g) = -3*g - 18. Let v(r) = 13*p(r) + 6*z(r). Let n be v(-9). Let x = n - 35. What is the units digit of x? 4 Suppose 82236 + 38990 = 49*j. What is the units digit of j? 4 Suppose 0 = 279*p - 290*p - 528. Let k = -5 + -24. Let h = k - p. What is the units digit of h? 9 Let s = -30 - -74. Suppose -s = -20*j + 16*j. What is the units digit of j? 1 What is the units digit of 2472 + (0 + -2)*1 + 0? 0 Let o(z) = 3*z - 2*z + 36*z**3 + 5*z**2 - 35*z**3 + 3. Let j be o(-5). What is the units digit of -1 + (43 + j - 0)? 0 Let z = 715 - 3058. What is the hundreds digit of ((-10)/(-6))/(z/(-585) - 4)? 3 Suppose 5*k + 2 = 52. Suppose i - k = -2. What is the units digit of i? 8 Let c = 145 - 282. Let h = c + 63. Let x = -33 - h. What is the units digit of x? 1 Let k(j) = 2*j**2 - 84*j + 114. What is the units digit of k(48)? 0 Suppose -4*m + 4847 = -5*j, 0 = -99*j + 104*j - 25. What is the thousands digit of m? 1 What is the units digit of (-5336)/(-207) + (-4)/(-18) + 0? 6 What is the units digit of 44 + 2 + (-4 - 4) + 3? 1 Let w = -2 - -21. Suppose 4*c - 227 = -w. What is the units digit of c? 2 Let f(s) = 64*s**2 + 27. What is the tens digit of f(8)? 2 Suppose d = -5*y + 230, 3*y - 110 = -2*d + 7*d. Let c be (-10)/y + (-38)/(-9). Suppose 0 = -2*x + c, 0 = -g + 4*g - 5*x - 26. What is the units digit of g? 2 Let t(n) = -2*n - 2. Let d be t(-3). Suppose s = -d*s - 75. What is the units digit of ((-54)/s)/((-3)/(-10))? 2 Suppose -3*b + 59 = -40. Suppose -4*j + 70 = -5*a, 5*j = -4*a + 2*j - 56. Let x = b + a. What is the tens digit of x? 1 Suppose 63 = 2*b - 5*r, -39 = -2*b + 2*r - 5*r. Suppose b = -3*z + 75. What is the units digit of z? 7 Suppose 30*t + 9450 = 37*t. What is the units digit of t? 0 Let g = 7 - 7. Suppose -3*l - 12 = -4*a - g*a, -16 = 5*a + 4*l. Suppose a = 2*r - 17 - 5. What is the units digit of r? 1 Let z be -4 + (-44)/(-12) + 4/(-6). What is the units digit of (2/2*-29)/(-2 - z)? 9 What is the units digit of 2/6 + (-10 - (-3256)/6)? 3 Suppose 10280 + 5405 = 5*p - 4*f, 0 = -4*f. What is the units digit of p? 7 Let p be (1 + 0)/(5 - 2224/445). Let a = p + -264. What is the tens digit of a? 8 What is the hundreds digit of ((-1)/1)/(24/(-41664))? 7 Let w = -19 + 24. Suppose 0 = d - 3*d + w*b - 44, 2*d = b - 36. Let q = d - -31. What is the tens digit of q? 1 Let p be -9 - -9 - (-6 + 1). Let l be p + 8/(-4) + 15. What is the units digit of (-96)/l*9/(-2)? 4 Let a(l) be the second derivative of -26*l**5/5 + l**4/6 + l**3/3 + l**2/2 - 20*l. What is the units digit of a(-1)? 5 Let y(v) = 3*v + 21. Let x(o) = 4*o + 22. Let h(p) = -2*x(p) + 3*y(p). What is the tens digit of h(12)? 3 What is the tens digit of (776/(-9))/((-176)/792)? 8 Suppose 0 = -3*h + 6. Suppose h*d = 1 - 5. What is the units digit of (1/3)/(d/(-54))? 9 Suppose 0 = -16*b + 12*b + 2*o + 2820, -b = -5*o - 723. What is the units digit of b? 3 Let v(z) = -26*z + 4*z - 27*z + 12*z - 6. What is the units digit of v(-2)? 8 What is the hundreds digit of (-6464)/(-22) + 20/110? 2 Suppose 0 = c - 2, 4*c = -3*q - 0*q - 445. Let g = q - -221. What is the units digit of g? 0 Suppose -9*c + 4*c = 0. Suppose c*d - 2*d + 104 = 2*m, m + 5*d = 60. What is the tens digit of m? 5 Let j(u) = -22*u + 180. What is the tens digit of j(-7)? 3 Let c = 12 - 8. Suppose 4*o - 4*h = 0, -2*o + 3 = -c*h + 11. Suppose -v + 0*j - 12 = o*j, 0 = -3*v - 5*j - 8. What is the units digit of v? 4 Let f be (-228)/(-28) - 2/14. Let x = 10 - f. Suppose 11*h - x = 10*h. What is the units digit of h? 2 Let u = 9 - -13. Suppose -r + 6 = -4*f + u, 4*f - 2*r - 12 = 0. Suppose 0 = -0*k - f*k - 3*m + 233, -2*k = 3*m - 95. What is the units digit of k? 6 Let p = -57 - -62. Suppose 9*t - 768 = p*t. What is the units digit of t? 2 Let w(x) = 3*x**3 + x**2 - 2*x + 1. Let l be w(1). Suppose o + 3*o = 3*f + 411, -306 = -l*o + 3*f. What is the hundreds digit of o? 1 Suppose 0 = -2*w + 2*m - 2, 2*w - 4*m + 8 = 0. Suppose -f + 1 = -w. Suppose 2*l - f = -y + 22, 5 = 5*l. What is the tens digit of y? 2 Let v(c) be the first derivative of -7*c**2/2 - 6*c + 2. What is the tens digit of v(-6)? 3 Let a = -3 - 9. Let t be ((-8)/5)/(a/30). Suppose -t*y = -7*y + 51. What is the units digit of y? 7 Let w(a) be the third derivative of 7*a**4/8 - 5*a**3/6 + 5*a**2. Let q(g) = -21*g + 5. Let r(h) = -3*q(h) - 2*w(h). What is the tens digit of r(2)? 3 Let z(b) = -2*b + 14. Let o be 0*(2 + 5/(-2)). What is the tens digit of z(o)? 1 Let a = -3221 - -5043. What is the thousands digit of a? 1 Suppose -156 = -g - 0*g. Suppose q - 5*b = 22, -5*b + 2*b - g = -4*q. What is the tens digit of q? 4 Suppose 2*h - 2312 - 896 = 0. What is the hundreds digit of h? 6 Let m(l) = l + 17. Let r be 6/(-8) - (-62)/8. What is the units digit of m(r)? 4 Let x(w) = 2*w - 24. Let d be (-312)/16*4/(-6). Let c be x(d). Suppose -u = -5*l - 48, -c*l - 196 = -3*u - 0*u. What is the units digit of u? 8 Let a = -2 - 4. Let w(p) = -p - 1. Let u be w(a). Suppose 15 = q - u*i - 14, -2*i = 2. What is the units digit of q? 4 Suppose 0 = -10*x + 50 - 0. Suppose -5*a + 1035 = x*b, -a - 6*b = -b - 211. What is the tens digit of a? 0 Let z = -135 + 191. Suppose -3*q - 2*p = -327, 4*q - 7*p = -12*p + 443. Let d = q - z. What is the units digit of d? 1 Let u be (-92)/20 + 4 - 93/(-5). Suppose -15*z + u*z = 603. What is the tens digit of z? 0 Let s be 6/24 + 1/(-4). Suppose 4*i - 3*i - 3 = s. Suppose i*b = 2 + 88. What is the units digit of b? 0 Let l(j) = -3*j + 2 - 5 - 5*j + 4*j. Let b be l(-2). Suppose -25 = b*r - 6*r. What is the tens digit of r? 2 Let g = -4465 - -6884. What is the thousands digit of g? 2 Let g(u) = -12*u - 13. Let s(m) = 6*m - 61. Let a be s(8). What is the tens digit of g(a)? 4 Let r = 72 - -4089. What is the hundreds digit of r? 1 Let u = 2618 + -1422. What is the hundreds digit of u? 1 Let q be (2/4)/((-5)/(-380)). Let g(a) = 3*a - 8. Let o be g(-6). Let h = q + o. What is the units digit of h? 2 Suppose 3*h + 0*h = 0. Suppose -2*y + 3*y - 8 = h. Let z = y + -7. What is the units digit of z? 1 Let f = -166 + 428. What is the tens digit of f? 6 Let x = -31 + 21. Let m be (-34)/x - 9/(-15). What is the tens digit of m/(-4 + 2) - -45? 4 Suppose -12 = -21*j + 23*j. What is the tens digit of 70/4 - (-9)/j? 1 Let w(g) = 3*g**2 + 17*g + 4. What is the thousands digit of w(16)? 1 Suppose -4*i + 34 = -54. Let l be 6*(-2 - i/(-6)). What is the units digit of -21*(l/6 + -2)? 7 Suppose x = 5*a + 733, -3*x + 453 = 4*a - 1651. What is the units digit of x? 8 Let z(p) = -p**2 - 3*p - 6. Let t(i) = 2*i + 5. Let d be t(-5). Let n be z(d). Let g = n - -33. What is the units digit of g? 7 Let s = 1985 + -890. What is the tens digit of s? 9 Let l = 125 + -86. Let t = l + -28. Suppose 0 = -10*p + t*p - 28. What is the tens digit of p? 2 Let m(y) = y**2 + 15*y + 37. What is the tens digit of m(-18)? 9 Suppose 4*k + 4*v = 13364 - 5508, -v = 5*k - 9832. What is the tens digit of k? 6 Suppose -o - 8 = -0*p - 2*p, -4*p = 4*o + 8. Suppose 18 = 3*f - 3*n, 7 = 5*f + p*n - 2. What is the tens digit of ((-6)/4)/(f/(-92))? 4 Suppose -4*k - 5 = -3*m, -m = -4*m - 3*k - 30. What is the tens digit of (-204)/m - 12/15? 4 Suppose 5*t = p - 2*p - 152, -109 = 4*t + 5*p. What is the tens digit of 6/4*(3 - t)? 5 Let g = 240 - 132. Suppose -4*t - z + 427 = 0, 0 = -t - 0*t + z + g. What is the tens digit of t? 0 Let v be (-342)/27*3/(-2). Suppose 2*h - 32 = -2*j, -5*h - j + 76 = 2*j. Let q = v - h. What is the units digit of q? 5 Let w(r) = -399*r**3 + r**2 + 6*r + 4. What is the hundreds digit of w(-2)? 1 Suppose -5*p - 2*l = -105, 64 = 3*p + 5*l + 20. Suppose -m + 3*b + p = 0, -2*b - 154 = m - 6*m. What is the units digit of m? 2 Let f = 635 + -233. What is the hundreds digit of f? 4 Suppose -5*f = 4*a - 833, f + a = -44 + 211. Suppose f = 5*y - 120. What is the units digit of y? 7 Let h(p) = -9*p + 17*p - 7*p + 51. Let v be h(0). Let r = -18 + v. What is the
{ "pile_set_name": "DM Mathematics" }
= 6*t(h) + u(h). Find the second derivative of q(v) wrt v. -24*v**2 - 814 Let t(w) be the first derivative of -77*w**3/3 + 129*w + 7. Differentiate t(c) wrt c. -154*c Let v = 43 - 39. What is the second derivative of -9*k - 15*k**2 + 0*k**2 - v*k - 3*k wrt k? -30 Let m(l) be the first derivative of l**10/360 - 2*l**6/45 + 2*l**3/3 - 11. Let g(r) be the third derivative of m(r). What is the third derivative of g(i) wrt i? 1680*i**3 Let l(p) be the first derivative of -5*p**6/6 - 9*p**4/4 - p**3 - 64. What is the third derivative of l(c) wrt c? -300*c**2 - 54 Let u(z) = 130*z**4 - 5*z**2 + 588*z. Let b(w) = 2*w**4 - w**2 + w. Let k(a) = -5*b(a) + u(a). Find the second derivative of k(d) wrt d. 1440*d**2 Let g(u) = -u**2 - 7*u - 7. Let t be 5*3/(3 - 6). Let i be g(t). What is the third derivative of -2*n**2 - 6*n**3 + 5*n**3 - 6*n**3 - n**i wrt n? -48 Suppose 10 = -21*b + 22*b. Find the second derivative of 0*m - 7*m + 0*m**5 - 3*m**5 - b*m**5 wrt m. -260*m**3 Let u = -116 - -124. Find the first derivative of 29 + 51*p - 12 + 37 - u wrt p. 51 Let l(y) = y - 1. Let n(m) = -2*m**4 - 81*m**2 + m + 16. Let h(o) = -2*l(o) + n(o). What is the second derivative of h(z) wrt z? -24*z**2 - 162 Suppose 2*p + 20 = -2*p, -3*i = 4*p - 13. Let v(o) = -7*o + 33. Let m(w) = 15*w - 65. Let s(b) = i*v(b) + 6*m(b). Differentiate s(n) wrt n. 13 Let r(q) be the third derivative of q**8/56 + q**7/30 - q**4/24 + 31*q**3/3 + 15*q**2 + 2*q. Find the second derivative of r(x) wrt x. 120*x**3 + 84*x**2 Let k = 138 - 116. What is the second derivative of 25*i**3 - 11*i**2 - 12*i**2 + 23*i**2 + k*i wrt i? 150*i Let s be (2/(-24)*-6)/(1/6). Let q be 0/3 + 0 + 22. Differentiate -q + 4 + 12 - 9*o**s wrt o. -27*o**2 Let c(n) be the first derivative of 29*n**2 + 152*n - 242. Differentiate c(b) with respect to b. 58 Let r(v) be the second derivative of -2*v**9/189 + v**5/60 + 3*v**3 + 14*v. Let q(c) be the second derivative of r(c). Find the second derivative of q(j) wrt j. -640*j**3 Suppose 6*v + 536 = 536. Let z(l) be the first derivative of -2/5*l**5 + 0*l**2 + 1 + v*l**3 + 0*l**4 + 3*l. What is the first derivative of z(i) wrt i? -8*i**3 Let g(v) = -v**3 + 17*v**2 - 29*v + 3. Let h be g(15). What is the first derivative of -2 + h + 23*f**3 - 43*f**3 wrt f? -60*f**2 Let h(l) be the second derivative of -31*l**7/210 + 11*l**3/2 - 5*l**2 + 20*l. Let c(o) be the first derivative of h(o). Differentiate c(x) wrt x. -124*x**3 Let y(i) = -3*i**2 - 3. Let b(s) = -4*s**2 - 5. Let m = 29 + -37. Let q(p) = m*y(p) + 5*b(p). Differentiate q(g) wrt g. 8*g Find the second derivative of -44*r**2 - 7*r + 6 - 9 + 2*r wrt r. -88 Differentiate -3*y**2 + 257 - 62*y - 94 - 30*y + y**2 wrt y. -4*y - 92 Let n be 2/(-3 + (-205)/(-65)). What is the first derivative of n - 3 + 21*x**3 - 11 - 11*x**3 wrt x? 30*x**2 Let w(f) be the third derivative of -133*f**4/8 - 131*f**3/3 - f**2 - 161*f. Differentiate w(l) wrt l. -399 Let m be (((-35)/(-7))/30)/(2/4). Let b(c) be the third derivative of m*c**4 + 0 + 0*c - 4*c**2 - 3/2*c**3. Differentiate b(h) wrt h. 8 Let j(q) = 6*q**3 + 12*q**2 + 381. Let o(r) = -11*r**3 - 25*r**2 - 761. Let c(x) = -5*j(x) - 3*o(x). What is the derivative of c(p) wrt p? 9*p**2 + 30*p Let m = 1115/2242 - -3/1121. Let c(i) be the second derivative of 7*i - m*i**2 + 0 - 7/3*i**3. What is the first derivative of c(t) wrt t? -14 Let j(r) = r**3 + 5*r**2 + 4*r + 3. Let x be j(-4). What is the third derivative of x*p**4 + 279*p**3 + 8*p**2 - 279*p**3 wrt p? 72*p Let c(q) be the third derivative of -19/30*q**5 + 0*q + 0 - 23/3*q**3 + 44*q**2 + 0*q**4. What is the derivative of c(r) wrt r? -76*r Let m(x) be the first derivative of -9*x**4/2 + 2*x**2 - 58*x + 492. Find the first derivative of m(r) wrt r. -54*r**2 + 4 Let y(c) = -261*c**2 + 65*c - 3. Let f(s) = -522*s**2 + 129*s - 7. Let v(d) = -3*f(d) + 7*y(d). Find the second derivative of v(t) wrt t. -522 Let m(g) = 65*g**2 - 22*g + 421. Let f(c) = 21*c**2 - 8*c + 141. Let t(b) = -11*f(b) + 4*m(b). Differentiate t(p) wrt p. 58*p Suppose -37 = -3*d - 4*q, -4*d = 4*q - 34 - 10. What is the third derivative of -d*o**2 - 6*o + 2*o + 13*o**3 + 4*o wrt o? 78 Let x = 10 + -9. Suppose -x = -4*y + 23. What is the third derivative of 4*i**y - 7*i**6 + 4*i**2 - 5*i**2 - 5*i**2 wrt i? -360*i**3 Let s(n) be the second derivative of 24 - 1/15*n**6 + 0*n**2 + 0*n**5 - 20/3*n**3 + 2*n + 2/3*n**4. Find the second derivative of s(f) wrt f. -24*f**2 + 16 Let y(v) be the third derivative of -37*v**6/120 + 27*v**3 - 156*v**2. Differentiate y(w) wrt w. -111*w**2 What is the third derivative of -13*u**3 + 1 + 0*u**3 + 2*u**4 + 42*u**2 + 0 - 53*u**3 + 156*u**2 wrt u? 48*u - 396 Let z(k) be the first derivative of -791*k**3/3 - k**2/2 + 161*k + 695. What is the second derivative of z(m) wrt m? -1582 Suppose 0 = 3*p - 6 - 3. Suppose 0 = 4*l - 5*m + p, 2*l + m = -3*l + 18. Find the third derivative of l*z**2 - 26*z + 26*z - 3*z**4 wrt z. -72*z Let x(v) be the second derivative of 5*v**6/6 + v**5/10 + 107*v**4/6 + 711*v. What is the third derivative of x(b) wrt b? 600*b + 12 Let l(c) be the second derivative of -c**10/30240 - c**7/280 - c**4/2 - 2*c. Let r(b) be the third derivative of l(b). Find the third derivative of r(f) wrt f. -60*f**2 Find the second derivative of 10079*o**2 + o**3 - 9*o + 93*o - 10110*o**2 wrt o. 6*o - 62 Find the second derivative of -700*l + 0*l**2 + 340*l - 141*l**2 - 2*l**4 wrt l. -24*l**2 - 282 Let w(v) = -v**3 + v**2 - 2*v. Let k(b) = 11*b**3 + 17*b**2 - 12*b. Let p(n) = -5*k(n) + 30*w(n). What is the third derivative of p(i) wrt i? -510 Let p(j) = j + 7. Suppose -4*o = -5*l + 1, 0 = o - l - l - 2. Let r be p(o). Find the third derivative of r - 3 - i**2 + 5*i**3 wrt i. 30 Let t(j) be the third derivative of -j**5/30 + 11*j**4/8 - 37*j**3/2 + 203*j**2. What is the first derivative of t(u) wrt u? -4*u + 33 Let p(g) = 70*g**2 - 163. Let s(i) = -23*i**2 + 54. Let v(w) = -6*p(w) - 17*s(w). Find the first derivative of v(h) wrt h. -58*h Let u(j) be the second derivative of 4*j**5/5 + j**4/6 + 20*j**3/3 + j - 50. What is the second derivative of u(p) wrt p? 96*p + 4 Let l(f) be the third derivative of 5*f**4/2 - 11*f**3/6 - 186*f**2. Differentiate l(v) wrt v. 60 Let q(j) = -j**3 + 17*j**2 + 19*j - 12. Let t be q(18). Find the first derivative of -6*b - 24 + 0*b**2 + t*b - 5*b**2 wrt b. -10*b What is the third derivative of -7*a**4 - 21*a**6 + 232*a**2 - 73*a**3 - 78*a**3 + 223*a**2 + 151*a**3 wrt a? -2520*a**3 - 168*a Let m(x) be the first derivative of 0*x**2 + 58*x**3 - 4*x**2 - 4 - 59*x**3. What is the second derivative of m(s) wrt s? -6 Let o be (-7)/((-21)/18) + -3. Let n = o - -1. What is the second derivative of 0*j - 3*j - j + 4*j**n wrt j? 48*j**2 Suppose -7*n + 16 = 2. Find the third derivative of -25*t**4 + 52*t**4 + 20*t**2 + 10*t**n wrt t. 648*t Let y(i) be the third derivative of 21*i**4/4 - 13*i**3/2 - 166*i**2. Differentiate y(u) wrt u. 126 Let b(m) be the third derivative of -31*m**4/8 - 70*m**3/3 - 2*m**2 - 14*m. What is the first derivative of b(s) wrt s? -93 Let h be 5 + -2 - -1*12. Let a = 15 - h. Find the second derivative of n**3 + 3*n**3 - 3*n + a*n + n wrt n. 24*n Let f(c) be the first derivative of -19*c**6/3 - c**3/3 - 127*c - 86. Find the third derivative of f(s) wrt s. -2280*s**2 What is the third derivative of 4*m**2 - 33*m**2 - 2*m**4 + 4631*m**5 - 4634*m**5 - 53*m**2 wrt m? -180*m**2 - 48*m Let o(i) be the first derivative of 4 + 0*i**2 + 5/4*i**4 - 41*i + 0*i**3. What is the first derivative of o(w) wrt w? 15*w**2 Let n(w) = w**2 - 13. Let h be n(-6). What is the third derivative of 29*o**2 + 7445*o - h*o**4 - 7445*o wrt o? -552*o Let d = -19 + 16. Let z be (-27)/(-12)*8/d. Let x(s) = s + 1. Let p(v) = 3*v**2 + 6*v + 13. Let k(q) = z*x(q) + p(q). Find the first derivative of k(h) wrt h. 6*h Let t(p) be the third derivative of p**8/280 + p**6/45 - 7*p**3/2 + 11*p**2. Let r(o) be the first derivative of t(o). Find the third derivative of r(q) wrt q. 144*q Let d(r) = -2*r - 2. Let k(b) = -104*b - 37. Let z(u) = d(u) - k(u). What is the derivative of z(t) wrt t? 102 What is the third derivative of 11*p**5 + 9*p**2 - 4*p**3 + 0*p**5 - 5*p + 3*p - 2*p**5 wrt p? 540*p**2 - 24 Let q(o) be the second derivative of -1/4
{ "pile_set_name": "DM Mathematics" }
ue Let y = 74/15 + -1229/240. Let k = -1/16 + y. Which is smaller: 0 or k? k Let v = -0.4 - -0.3. Let o be 2/11 + (-53)/110. Let h = o - 1/10. Is v less than or equal to h? False Suppose -2*y = -0*y + 6. Let l be (-12)/16*(-8)/(-2). Is y < l? False Suppose 4 - 6 = -c. Suppose c*s = -3*s + 10. Suppose 1 + s = 3*o. Is 1 greater than or equal to o? True Let c(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let b be c(-1). Does 0.4 = b? False Let o be 256/(-180) - (-4)/(-30). Which is bigger: o or -3? o Let y(j) = -j**3 - 12*j**2 + 33*j + 21. Let p be y(-14). Is -47 > p? True Suppose -11*o = -8*o + 30. Which is bigger: 2 or o? 2 Let n = 11 - 8. Let l = 4 - n. Is l <= -1/4? False Let m be 0*(-3)/9 + -1. Let l be ((-3)/9)/1*m. Let q = -3 + 2. Are q and l nonequal? True Let h(m) = m**2 - m + 2. Let b be h(0). Suppose 0 = -c + 24 - 8. Suppose c = -2*n - b*n. Is -3 greater than n? True Let m(k) = -k**3 - 3*k**2 + 6*k + 5. Let g be m(-4). Let a = 3 + g. Suppose 0 + 4 = 4*x. Which is smaller: x or a? a Let b = -113 + 901/8. Which is smaller: 0 or b? b Let r be 0 + (-3)/(-1) - 3. Suppose -g + 15 = -3*f, -5*g + g + 5*f + 39 = r. Is g greater than 6? False Let i(a) = a. Suppose 0 = -4*d - 0*d. Let l be i(d). Which is smaller: l or 1/11? l Let i be (-32)/(-120) + (-4)/(-10). Suppose -65 - 15 = 4*r. Let j = r - -98/5. Are i and j nonequal? True Suppose 3*z + 2*o + 2 + 4 = 0, 5*o = -5*z - 15. Let n = -2/209 - 617/1045. Which is smaller: z or n? n Let m = 22/59 + -247/1770. Is m >= -1? True Suppose 4*x + x - 10 = 0. Suppose 4*h + 2*t + 200 = 0, 0*h + x*h = -2*t - 96. Let d = h + 674/13. Is d < 0? True Suppose -12*l - 45 = -7*l. Let b(f) = -f - 3. Let u be b(7). Is l equal to u? False Let h(p) = -p**2 + p + 3. Let i be h(0). Let j be (5 - i)/(39/(-3)). Let w be ((-2)/(-4))/(1/(-2)). Is j at least w? True Let o be ((-40)/(-60))/(2 + 537/(-270)). Which is bigger: 58 or o? o Let l(m) = 4*m - 13. Let k be l(3). Is -3/8 smaller than k? False Let q(f) = f**2 - 1. Let c(o) = -7*o**2 + o + 2. Let h(d) = c(d) + 6*q(d). Let l be h(-3). Is -15 bigger than l? True Let w = 316/427 + 42/61. Is w bigger than -0.1? True Suppose 5*m + 1 = -4. Let g be (-7)/4*(-20)/70. Let w = 5/18 - g. Which is smaller: w or m? m Let a = -4162/333 - -112/9. Which is greater: 1 or a? 1 Let k be -3 + (0 - 9/(-3)). Does k = 2/5? False Let g = -2.48 - 0.52. Is g at least -4? True Let x = 1389 + -482. Let d = x - 17215/19. Let r = d - 109/95. Do r and -0.2 have the same value? True Let f be (0 - 2*-1) + 3. Let v(o) = o**3 - 5*o**2 + 2*o - 6. Let y be v(f). Suppose y*c - 4*u = 4, -c + 2*u + 1 = 5*u. Does c = 0? False Let g(i) be the third derivative of -i**4/24 - i**2. Let u be g(0). Which is bigger: u or 2? 2 Let j be (3 - (1 - -3))/(-2 + 1). Let t = 125 - 1374/11. Is t > j? False Let i be 4/2 - (-3 - 74/(-8)). Are i and -4 unequal? True Let b = 0.07 - 0.01. Suppose -180 - 236 = -4*o + 4*v, -499 = -5*o - 2*v. Let p = -709/7 + o. Is b > p? True Let h = -22 - -22. Let x be 1/(-6)*2/3. Do x and h have the same value? False Let z = -3.974 + 48.304. Let i = z + -46.3. Let b = i + -0.03. Is b not equal to 2/7? True Suppose -2*l - 2*l = 0. Suppose 0 = 2*f + 3*v + 14 - 5, l = 5*f + 3*v + 18. Let q be (-1)/1 - 0/f. Which is bigger: q or 0? 0 Suppose -2*x - 1 = h, 2*h - x + 3*x - 2 = 0. Let j(z) = -13*z**2 + 8 - 5*z + 1 + 0*z**3 - 6*z - z**h. Let f be j(-12). Is f >= -3? True Let u(g) = -g + 4. Let q = 3 - 3. Suppose 2*w = -4*b + 6, 2*b = 3*w - q*b - 25. Let o be u(w). Does -2 = o? False Let t be (-13)/11 - (2 + -3). Let f = 5/33 - t. Is f not equal to 0? True Let g be -2 - ((-621)/123 + 3). Are 0 and g non-equal? True Suppose 0 = 4*c + 12, -2*a + c - 1 = -2. Which is smaller: a or -6/13? a Let b = 586 + -1777/3. Do -5 and b have different values? True Let s be 2/14 - 45/70. Is s bigger than -2? True Let z be -1 - (2 - (0 - -5)). Let s be -2 - (-6 - -1*z). Suppose o = -4*q, 1 = s*q - o + 7. Is q greater than -1? False Let n = 45 + -133/3. Is n < 40? True Suppose 0 = -11*z - 10 - 1. Suppose 0 = 2*w - 0 - 6. Which is greater: w or z? w Let p = 0.5 + -0.3. Let o(f) = -2*f**2 - 7*f + 2. Let t be o(-4). Which is smaller: p or t? t Suppose -h = h - 2. Is h smaller than -2/11? False Let g(q) = q + 3. Let i be g(0). Suppose -b + 3*l + 39 = 0, 3*b - 63 = l + 30. Let r be (-1 - (-26)/b)*i. Which is smaller: r or 0.1? r Let v be (-7)/(-1) - (13 + -16). Do 7 and v have the same value? False Let p be ((-27)/36)/(9/(-8)). Which is smaller: p or 10/9? p Let f = -0.009 + -5.991. Let s = 110.9 - 117. Let d = f - s. Do 2 and d have the same value? False Let j = -63 + 67.1. Let i = j + -4. Let k = 0 + -0.2. Which is bigger: i or k? i Let n(h) = h - 8. Let p be n(8). Let b = 0.3 - -0.7. Let z = 0.7 - b. Which is smaller: z or p? z Let t = 27 - 26. Let f be (10/(-40))/(t/(-4)). Which is bigger: f or 6/17? f Let j = -1195/21 + 57. Which is bigger: j or -1? j Let k = 2 + 37. Suppose 4*m + 1 + k = 0. Are m and -10 unequal? False Let c = -12 - -21. Let d = -9 + c. Is d less than or equal to -2/13? False Let m(d) = d + 6. Let u be m(-7). Which is bigger: u or 1/23? 1/23 Suppose 0 = w + 2*w. Suppose w*m = 5*m + 5. Let q be (-22)/24 - (-2)/8. Is q less than m? False Suppose -5*c - 3*x + 10 = 0, 3*c - x = 5*c - 4. Let i be c/5 + 88/(-20). Which is smaller: i or 1/3? i Let k = -7.8 + 7.9. Let o = -6496 + 298797/46. Let l = 2/23 - o. Which is bigger: l or k? l Suppose -3*z = 2*z. Is z <= -1? False Let g be ((-1)/3)/((-14)/(-24)). Suppose s - 2*s = 1. Let n be (-6 - -5)*(0 - s). Which is smaller: g or n? n Suppose -11*a + 34 = 6*a. Which is greater: 7/9 or a? a Suppose -h - 10 = 4*l, 0 = -3*l - 2*h + 5*h. Suppose -3 - 3 = 3*s. Let u = s + 1. Which is bigger: l or u? u Let m(u) = -3*u - 1. Let y be m(-5). Let c be (-1 - -1)/(y/(-7)). Is 0 less than or equal to c? True Let f be 5 - ((-12)/2 - -4). Is f not equal to 2? True Suppose -2*f - f = 0. Let a = f + 1. Suppose -a = 4*z + 3. Which is smaller: 0 or z? z Let s = -8 - -208. Let u be s/(-16)*(-1 - 1). Suppose 2*w = -4*r - 4, 10 = 5*r + u. Which is smaller: w or 3? 3 Suppose -5*l + 4*x + 26 = 0, 2*l - x = 5*l - 2. Let t be (-18)/(-35) - 2/(-7). Which is bigger: t or l? l Let r = -2328/7 + 332. Let h(f) = -f + 3. Let d be h(5). Which is smaller: d or r? d Let a be (5 + 10)*2/6. Which is smaller: 0 or a? 0 Suppose 3*q = -15 - 0. Which is smaller: q or -11/2? -11/2 Let y = -0.661 + 0.061. Is 1 >= y? True Let t be (3/15)/(4/(-30)). Is t less than -2? False Let x = -2573/66 + -17/33. Which is bigger: x or -41? x Let g = -0.3 - -2.3. Which is greater: g or -0.5? g Let w(g) = 2*g**2 + 1. Let r be w(-1). Suppose 5*l - 13 = -r. Let p be ((-2)/6)/(5/10). Is l less than or equal to p? False Suppose 4*i - i = 0. Suppose i = -2*g - 2*g + 124. Let u = 157/5 - g. Are u and -0.1 equal? False Let c = -1.036 + 0.036. Which is smaller: c or 0.3? c Let i = 0 - 1. Suppose 3*a = -0*a - 3. Let j be (a - 1)/((-7)/i). Is j less than or equal to -2/7? True Let j = 166/3 + -56. Are 0.07 and j nonequal? True Let l = -243/2 + 122. Which is bigger: 9 or l? 9 Let x(k) = k**2 - 7*k + 11. Let j be x(3). Which is smaller: j or 6/23? j Suppose 4*b - 112 + 16 = 0. Suppose -2*s + b = 2*s. Let g = 9 - 4. Which is greater: g or s? s Let i(j) = j + 18. Let x be i(-14). Let v = 5 + -3. Let l be (3/v)/(2/x). Which is greater: l or -0.1? l Let t be (-2)/(-1) - (4 - 4). Let y = 4 - 2. Is y at most t? True Suppose -3*k - 20 = 5*l, -3*k - 23 + 5 = 3*l. Let w be 0 - ((3 - -141) + 2). Let n = 1604/11 + w. Which is bigger: l or n? n Let g(l) = -l**3 + 5*l**2 + 5. Let u be g(5). Let i be u/(-2)*8/(-5). Let v(d) = d**2 - 6*d + 6. Let y be v(i). Do -2 and y have different values? False Suppose t + 14 = 4. Which is smaller: -29/3 or t? t Let m(x) = -3*x**2 + 0*x**3 + 3 + 1 + x**3 - 4*x. Let a be m(4). Suppose 0 = -a*l - 6 - 2. Is -3/5 less than or equal to l? False Suppose -u + 1 = -2, 2*h - 5*u = -15. Let p be h + (0 + 3 - 1). Suppose -p*j = -j - 2. Do j and 2 have different values? False Let n = -197/8 + 489/8. Let d = -513/14 + n. Let a = d - -33/133. Does -1 = a? False Let a be (4/(-8))/((-13)/(-4)). Does a = 1? False Suppose -4*u + 5*v - 27 = 2*v, -2*v = -3*u - 20. Which is smaller: -7 or u? -7 Let u(g) = g**3 + 2 - 6 + 4*g**2 + 0 + 0 - 6*g. Let y be
{ "pile_set_name": "DM Mathematics" }
3, -4005, -5983, -7953, -9921, -11893, -13875, -15873? -17893 What is the next term in 122421, 489685, 1101791, 1958739? 3060529 What is next in 1661, 3322, 4983, 6644, 8305? 9966 What is next in 119, 513, 1545, 3533, 6795, 11649, 18413? 27405 What comes next: 9209, 18407, 27605? 36803 What is the next term in -536, -1139, -1742? -2345 What is the next term in -316947, -316950, -316953? -316956 What is the next term in 351, 346, 387, 498, 703, 1026, 1491? 2122 What comes next: 1220, 1069, 918, 767, 616? 465 What comes next: 1832, 7421, 16736, 29777, 46544, 67037? 91256 What is the next term in 2620, 2615, 2612, 2611? 2612 What is next in -202, -427, -678, -955, -1258, -1587, -1942? -2323 What comes next: 25, 150, 351, 628, 981, 1410? 1915 What is next in 97, 173, 247, 319, 389, 457, 523? 587 What is the next term in -3249075, -3249076, -3249077, -3249078, -3249079, -3249080? -3249081 What is the next term in -864, -860, -844, -810, -752? -664 What comes next: -41, -269, -633, -1121, -1721, -2421? 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-16325 What comes next: -127140, -508580, -1144316, -2034348, -3178676, -4577300, -6230220? -8137436 What comes next: 3055, 3602, 4147, 4690, 5231? 5770 What is the next term in -788953, -1577906, -2366859, -3155812, -3944765, -4733718? -5522671 What comes next: -9, -37, -47, -27, 35, 151, 333? 593 What comes next: 315764, 315763, 315762, 315761, 315760? 315759 What comes next: 437, 3082, 10121, 23750, 46165, 79562, 126137? 188086 What comes next: 37706, 37709, 37712, 37715, 37718? 37721 What is the next term in -292669, -292668, -292667, -292666? -292665 What is next in 15, 108, 201, 294, 387, 480? 573 What is next in -820, -3322, -7522, -13444, -21112? -30550 What is next in 207, -630, -1473, -2328, -3201, -4098, -5025, -5988? -6993 What comes next: 76414, 152836, 229258? 305680 What is the next term in -1894, -3768, -5638, -7504? -9366 What is next in 44259, 88515, 132771, 177027, 221283, 265539? 309795 What is the next term in 1822, 3650, 5492, 7354, 9242? 11162 What is next in 149036, 149038, 149040, 149042, 149044? 149046 What is the next term in 188578, 377153, 565730, 754309? 942890 What is the next term in 5910, 6373, 6836, 7299? 7762 What comes next: 7834, 7831, 7828, 7825, 7822? 7819 What comes next: -19131, -38251, -57365, -76473, -95575, -114671, -133761? -152845 What comes next: -61706, -123412, -185118? -246824 What comes next: -792, -1406, -1840, -2094, -2168, -2062? -1776 What is next in -5184, -20725, -46626, -82887, -129508, -186489? -253830 What is next in 64, 300, 706, 1276, 2004, 2884, 3910? 5076 What is next in -140, -767, -1794, -3221, -5048, -7275, -9902? -12929 What comes next: -3455, -3589, -3723, -3857, -3991, -4125? -4259 What comes next: 444, 198, -46, -288? -528 What comes next: 12582, 50306, 113178, 201198? 314366 What is the next term in -11344, -11470, -11596, -11722? -11848 What is next in 8482, 8441, 8410, 8395, 8402? 8437 What comes next: 449, 548, 647, 746? 845 What is next in -18217, -18261, -18377, -18601, -18969? -19517 What is next in 446, 850, 1260, 1676? 2098 What is the next term in -65, -96, -107, -86, -21, 100, 289? 558 What is the next term in -93, -107, -163, -279, -473, -763, -1167? -1703 What comes next: 27428, 27423, 27414, 27401, 27384, 27363? 27338 What comes next: -678, -666, -670, -684, -702, -718, -726? -720 What is next in 3836, 3817, 3752, 3617, 3388, 3041, 2552, 1897? 1052 What is the next term in 336074, 336075, 336076, 336077? 336078 What comes next: -1241, -2594, -3947, -5300, -6653? -8006 What is the next term in 4609, 9324, 14039, 18754, 23469, 28184? 32899 What comes next: -611, -809, -1131, -1577, -2147, -2841? -3659 What is the next term in 371, 1485, 3339, 5933, 9267, 13341, 18155? 23709 What comes next: -992, -1953, -2878, -3749, -4548, -5257? -5858 What is the next term in -12, -53, -146, -315, -584, -977, -1518? -2231 What is next in -7995, -16031, -24079, -32145, -40235, -48355, -56511, -64709? -72955 What is the next term in 254, 739, 1546, 2675, 4126? 5899 What is next in -877820, -877821, -877822, -877823, -877824, -877825? -877826 What comes next: -1643, -1597, -1551? 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{ "pile_set_name": "DM Mathematics" }
-849 What is the next term in -49, -246, -591, -1084? -1725 What is next in -72, -221, -422, -645, -860, -1037? -1146 What is the next term in 25939, 51815, 77691, 103567? 129443 What is the next term in -249, -602, -1571, -3468, -6605, -11294, -17847? -26576 What is the next term in -18401, -18402, -18403, -18404, -18405? -18406 What is next in 645, 1251, 1867, 2499, 3153, 3835, 4551, 5307? 6109 What is the next term in 5922, 11839, 17756? 23673 What is the next term in -252, -257, -246, -213, -152? -57 What is the next term in 7, 5, -7, -29? -61 What is the next term in -530291, -1060581, -1590869, -2121155, -2651439, -3181721? -3712001 What is the next term in -7856, -31412, -70670, -125630, -196292, -282656? -384722 What is the next term in 77, 190, 375, 668, 1105, 1722, 2555? 3640 What is next in -10489, -10498, -10507, -10516? -10525 What is the next term in 13346, 12864, 12390, 11930, 11490, 11076? 10694 What is next in -9002, -18021, -27040? -36059 What is next in 4006, 4406, 4806, 5206, 5606? 6006 What is next in -81440, -81413, -81396, -81395, -81416? -81465 What is the next term in 79648, 318563, 716754, 1274221, 1990964, 2866983? 3902278 What is the next term in 3854, 7674, 11496, 15320, 19146, 22974? 26804 What comes next: 36, 78, 130, 192, 264? 346 What is next in 36282, 36281, 36270, 36243, 36194? 36117 What is next in 112816, 225591, 338366, 451141, 563916? 676691 What is next in 107707, 107705, 107703? 107701 What is next in 12258, 12289, 12320, 12351? 12382 What is next in -29248, -29243, -29234, -29221, -29204, -29183? -29158 What is next in 138068, 138057, 138044, 138029? 138012 What is the next term in 36402, 72818, 109222, 145608, 181970, 218302? 254598 What is next in -4276, -4272, -4268, -4264? -4260 What is the next term in -413369, -413368, -413367, -413366, -413365, -413364? -413363 What is the next term in 372, 736, 1098, 1458, 1816, 2172, 2526? 2878 What is the next term in -27131, -27130, -27127, -27122, -27115, -27106, -27095? -27082 What comes next: -47, -110, -233, -428, -707? -1082 What comes next: 215, 960, 2181, 3878, 6051? 8700 What is the next term in -25126, -50272, -75424, -100582, -125746? -150916 What comes next: -145, -294, -451, -616, -789, -970, -1159? -1356 What comes next: -381, -765, -1137, -1491, -1821? -2121 What comes next: 49, 127, 207, 289? 373 What is next in -118, -281, -444? -607 What is the next term in 149, 133, 87, 11, -95, -231? -397 What is next in -408, -606, -860, -1170? -1536 What is the next term in 3864, 7716, 11540, 15324, 19056, 22724, 26316? 29820 What is the next term in 139, 3, -221, -533, -933, -1421, -1997? -2661 What is next in 5527, 5020, 4513? 4006 What comes next: 735, 733, 731, 729? 727 What is next in 202963, 202951, 202945, 202951, 202975, 203023? 203101 What comes next: 257537, 515081, 772627, 1030175, 1287725? 1545277 What is next in 7967, 15953, 23947, 31955, 39983, 48037? 56123 What comes next: 3493, 6978, 10459, 13936? 17409 What comes next: 801725, 801742, 801771, 801812? 801865 What is the next term in -18993, -38190, -57387, -76584, -95781? -114978 What is next in 5326, 10671, 16016, 21361? 26706 What is the next term in 4218, 16983, 38258, 68043, 106338, 153143, 208458? 272283 What is next in -8618, -17245, -25870, -34493? -43114 What is the next term in 135687, 135686, 135685, 135684, 135683? 135682 What is the next term in 1052, 2163, 3274, 4385? 5496 What is next in 1940, 3928, 5948, 8000, 10084, 12200, 14348? 16528 What comes next: 13405, 26802, 40199, 53596, 66993? 80390 What comes next: 3398421, 3398419, 3398417, 3398415, 3398413? 3398411 What is the next term in 6681, 13366, 20053, 26742, 33433, 40126? 46821 What comes next: 131, 489, 991, 1631, 2403? 3301 What comes next: 1938, 4344, 6750, 9156, 11562? 13968 What comes next: 1107, 2197, 3269, 4323, 5359, 6377, 7377? 8359 What is next in -396, -793, -1168, -1515, -1828? -2101 What is the next term in 150, 264, 372, 486, 618, 780, 984, 1242? 1566 What is the next term in 3372, 13504, 30390, 54030, 84424? 121572 What is next in 272394, 272391, 272388, 272385, 272382, 272379? 272376 What is next in -1166, -971, -632, -137, 526, 1369, 2404? 3643 What is the next term in 1044, 2170, 3296? 4422 What is next in 964, 1445, 1926, 2407, 2888, 3369? 3850 What is the next term in -52045, -104096, -156147? -208198 What is next in 284, 504, 746, 1010, 1296, 1604, 1934? 2286 What is next in 13200, 13199, 13196, 13191, 13184, 13175? 13164 What is the next term in -19539, -19529, -19517, -19503? -19487 What comes next: -2307, -2404, -2567, -2796? -3091 What comes next: -434770, -869536, -1304302, -1739068, -2173834, -2608600? -3043366 What comes next: -379, -754, -1205, -1738, -2359, -3074, -3889? -4810 What is next in 17, -155, -327? -499 What is the next term in 339, 2337, 7759, 18315, 35715, 61669? 97887 What is the next term in 329179, 658357, 987535? 1316713 What is next in 326, 340, 354, 368, 382? 396 What is next in -1197, -1248, -1333, -1452, -1605, -1792? -2013 What comes next: 134, 127, 114, 89, 46, -21? -118 What is next in 1622, 1604, 1586? 1568 What is the next term in -509, -1803, -3877, -6731? -10365 What comes next: -6, 49, 190, 459, 898, 1549? 2454 What is next in -361522, -723044, -1084564, -1446082, -1807598? -2169112 What comes next: -6767, -6790, -6813, -6836, -6859, -6882? -6905 What is the next term in -1559, -6300, -14225, -25334, -39627? -57104 What comes next: 1176, 2349, 3524, 4701? 5880 What is the next term in 90001, 90002, 90003, 90004, 90005, 90006? 90007 What is the next term in 889, 2047, 3203, 4357, 5509? 6659 What comes next: -7945, -15905, -23865, -31825, -39785, -47745? -55705 What is next in -478, -989, -1834, -3007, -4502, -6313? -8434 What is next in 17, 164, 565, 1346, 2633, 4552, 7229? 10790 What is the next term in -161, -582, -1285, -2270, -3537, -5086? -6917 What is the next term in -1731, -1714, -1685, -1638, -1567? -1466 What is next in -67, -110, -149, -196, -263? -362 What comes next: -1342260, -1342261, -1342262, -1342263, -1342264, -1342265? -1342266 What is the next term in -3031, -6033, -9035? -12037 What is the next term in -278, -646, -1014, -1382, -1750, -2118? -2486 What is next in -5165046, -10330090, -15495134? -20660178 What is the next term in 921, 3654, 8219, 14622, 22869, 32966? 44919 What is next in -442, -882, -1314, -1732, -2130? -2502 What is the next term in -908, -1426, -1944? -2462 What is the next term in -7277, -14521, -21745, -28943, -36109, -43237, -50321? -57355 What is the next term in -967835, -1935671, -2903507, -3871343, -4839179? -5807015 What is next in -312, -255, -174, -57, 108, 333? 630 What comes next: -30195, -30305, -30415? -30525 What is next in -1674, -2764, -4580, -7122, -10390, -14384? -19104 What is the next term in -1380018, -1380023, -1380030, -1380039, -1380050, -1380063, -1380078? -1380095 What is next in -8018, -16036, -24054? -32072 What is next in 80, 309, 864, 1889, 3528, 5925, 9224, 13569? 19104 What is the next term in 3661649, 7323298, 10984947, 14646596? 18308245 What is next in -35556, -35560, -35564, -35568, -35572, -35576? -35580 What is next in -319, -639, -949, -1243, -1515, -1759, -1969, -2139? -2263 What is next in -759, -133, 499, 1137, 1781, 2431, 3087? 3749 What is the next term in 430, 1558, 3428, 6040, 9394? 13490 What comes next: 5688, 5550, 5320, 4998? 4584 What comes next: 7059, 7086, 7139, 7218? 7323 What comes next: 95812, 95814, 95816? 95818 What comes next: 3565, 3538, 3493, 3430, 3349? 3250 What comes next: -517274, -517292, -517318, -517358, -517418, -517504, -517622, -517778? -517978 What comes next: -724, -2751, -6130, -10861, -16944? -24379 What is next in 92, 489, 1510, 3467, 6672? 11437 What is next in 31688, 31691, 31694, 31697, 31700, 31703? 31706 What comes next: -140117, -280232, -420349, -560468, -700589, -840712? -980837 What comes next: -17470, -35017, -52562, -70105, -87646, -105185, -122722? -140257 What comes next: -20111, -20129, -20149, -20171, -20195, -20221, -20249? -20279 What is the next term in -95650, -95645, -95640, -95635, -95630? -95625 What is the next term in -305, -1199, -2691, -4787, -7493, -10815, -14759, -19331? -24537 What is the next term in 532, 488, 450
{ "pile_set_name": "DM Mathematics" }
? 1494 Calculate the remainder when 3518888 is divided by 1172945. 53 Calculate the remainder when 68857 is divided by 4570. 307 Calculate the remainder when 186256 is divided by 569. 193 What is the remainder when 47506790 is divided by 4400? 4390 Calculate the remainder when 736219501 is divided by 317. 315 What is the remainder when 3050556 is divided by 31128? 12 Calculate the remainder when 25651 is divided by 4977. 766 Calculate the remainder when 58234 is divided by 7273. 50 Calculate the remainder when 116001 is divided by 4077. 1845 Calculate the remainder when 7159461 is divided by 23. 21 Calculate the remainder when 4963162 is divided by 703. 685 What is the remainder when 300041 is divided by 16? 9 Calculate the remainder when 638345 is divided by 33. 26 What is the remainder when 150481 is divided by 37603? 69 Calculate the remainder when 61030 is divided by 772. 42 Calculate the remainder when 38867397 is divided by 30. 27 What is the remainder when 5140040 is divided by 3567? 3560 Calculate the remainder when 1297102 is divided by 24944. 14 What is the remainder when 241298108 is divided by 13291? 3 Calculate the remainder when 474626 is divided by 308. 306 What is the remainder when 4179737 is divided by 33? 23 Calculate the remainder when 1826291 is divided by 76. 11 Calculate the remainder when 1760078 is divided by 1909. 1889 Calculate the remainder when 1260084 is divided by 106. 62 Calculate the remainder when 62911357 is divided by 20. 17 Calculate the remainder when 41874 is divided by 13698. 780 What is the remainder when 11578849 is divided by 1835? 1834 What is the remainder when 16705 is divided by 8283? 139 Calculate the remainder when 54480 is divided by 18065. 285 Calculate the remainder when 492503 is divided by 10471. 366 Calculate the remainder when 25783491 is divided by 68. 67 Calculate the remainder when 840054 is divided by 688. 6 What is the remainder when 5492045 is divided by 401? 350 What is the remainder when 678633 is divided by 4295? 23 What is the remainder when 5685973 is divided by 1895240? 253 What is the remainder when 49574688 is divided by 7082092? 44 Calculate the remainder when 137037 is divided by 2921. 2671 Calculate the remainder when 913345 is divided by 1167. 751 Calculate the remainder when 10113564 is divided by 4485. 4374 What is the remainder when 1351713 is divided by 67? 55 Calculate the remainder when 17134672 is divided by 672. 16 What is the remainder when 94143 is divided by 881? 757 What is the remainder when 4261772 is divided by 1218? 1208 Calculate the remainder when 7005030 is divided by 1093. 1086 What is the remainder when 6528356 is divided by 114532? 32 What is the remainder when 8632612 is divided by 308? 296 Calculate the remainder when 2468076 is divided by 36. 24 Calculate the remainder when 5142911 is divided by 5753. 5482 What is the remainder when 53424 is divided by 204? 180 What is the remainder when 546564 is divided by 11385? 84 What is the remainder when 278245 is divided by 2728? 2717 What is the remainder when 189958 is divided by 4136? 3838 What is the remainder when 43573109 is divided by 7262181? 23 What is the remainder when 7000 is divided by 1740? 40 What is the remainder when 47084 is divided by 2478? 2 What is the remainder when 9536205 is divided by 170? 55 Calculate the remainder when 117376 is divided by 58656. 64 What is the remainder when 25562143 is divided by 25562139? 4 What is the remainder when 552529 is divided by 858? 835 Calculate the remainder when 5326456 is divided by 5326378. 78 Calculate the remainder when 15027 is divided by 6148. 2731 What is the remainder when 11761716 is divided by 73973? 9 Calculate the remainder when 3525169 is divided by 29619. 508 What is the remainder when 89383 is divided by 29550? 733 What is the remainder when 34287 is divided by 1986? 525 What is the remainder when 44331249 is divided by 17? 9 Calculate the remainder when 710568 is divided by 16. 8 What is the remainder when 4506228 is divided by 299? 298 Calculate the remainder when 11224243 is divided by 230. 13 What is the remainder when 10977295 is divided by 17? 4 What is the remainder when 93614544 is divided by 471? 468 Calculate the remainder when 44114189 is divided by 1222. 1211 Calculate the remainder when 30112908 is divided by 19. 17 Calculate the remainder when 31443 is divided by 6228. 303 What is the remainder when 9525 is divided by 2222? 637 What is the remainder when 26007234 is divided by 2167259? 126 What is the remainder when 62557576 is divided by 160? 136 What is the remainder when 2881191 is divided by 4372? 43 What is the remainder when 15772647 is divided by 1752513? 30 Calculate the remainder when 1300476 is divided by 75. 51 Calculate the remainder when 1298978 is divided by 51945. 353 What is the remainder when 549593 is divided by 5432? 961 What is the remainder when 4399505 is divided by 367? 276 Calculate the remainder when 3469508 is divided by 3469489. 19 What is the remainder when 37077408 is divided by 3370672? 16 Calculate the remainder when 13643641 is divided by 509. 405 What is the remainder when 4766977 is divided by 105932? 37 Calculate the remainder when 85466 is divided by 161. 136 Calculate the remainder when 847550 is divided by 211883. 18 Calculate the remainder when 84724 is divided by 10560. 244 Calculate the remainder when 12531999 is divided by 79. 71 Calculate the remainder when 3783866 is divided by 3543. 3485 Calculate the remainder when 2770726 is divided by 324. 202 Calculate the remainder when 29549 is divided by 7245. 569 Calculate the remainder when 520539 is divided by 413. 159 Calculate the remainder when 385115 is divided by 34956. 599 Calculate the remainder when 814383 is divided by 26268. 75 What is the remainder when 66901984 is divided by 53? 31 What is the remainder when 11036822 is divided by 113? 112 Calculate the remainder when 130464 is divided by 32594. 88 Calculate the remainder when 165993 is divided by 20737. 97 Calculate the remainder when 4462127 is divided by 99. 98 Calculate the remainder when 3657 is divided by 3077. 580 What is the remainder when 2468430 is divided by 1624? 1574 Calculate the remainder when 128312 is divided by 2982. 86 What is the remainder when 15213834 is divided by 6711? 6708 Calculate the remainder when 298788 is divided by 149144. 500 What is the remainder when 14552306 is divided by 194030? 56 What is the remainder when 2289421 is divided by 304? 301 What is the remainder when 139274 is divided by 45603? 2465 What is the remainder when 29634 is divided by 29324? 310 Calculate the remainder when 881017 is divided by 91. 46 What is the remainder when 502475 is divided by 4578? 3473 Calculate the remainder when 1546433 is divided by 650. 83 Calculate the remainder when 2586219 is divided by 8. 3 What is the remainder when 72344511 is divided by 28674? 9 What is the remainder when 264886 is divided by 2559? 1309 Calculate the remainder when 27244925 is divided by 3037. 3035 What is the remainder when 45723 is divided by 454? 323 What is the remainder when 14772403 is divided by 363? 118 Calculate the remainder when 8971264 is divided by 289389. 205 Calculate the remainder when 10705559 is divided by 144. 23 What is the remainder when 86625 is divided by 159? 129 Calculate the remainder when 33989154 is divided by 1231. 13 Calculate the remainder when 6064411 is divided by 140. 31 Calculate the remainder when 6812439 is divided by 15. 9 What is the remainder when 1498448 is divided by 772? 768 Calculate the remainder when 1014483 is divided by 12680. 83 Calculate the remainder when 617838 is divided by 123554. 68 What is the remainder when 5454470 is divided by 3239? 3233 What is the remainder when 1032015 is divided by 1789? 1551 What is the remainder when 1118654 is divided by 176? 174 Calculate the remainder when 7899495 is divided by 370. 365 What is the remainder when 26774190 is divided by 250226? 8 What is the remainder when 45051677 is divided by 53? 34 What is the remainder when 19684335 is divided by 69067? 240 What is the remainder when 41695127 is divided by 4169507? 57 What is the remainder when 71684436 is divided by 344? 340 What
{ "pile_set_name": "DM Mathematics" }
+ v). Suppose 0 = 5*z - u - 4324, 0*z = w*z + 4*u - 2599. Is z a prime number? False Let j(o) = 156*o + 4. Let r be 2 + 1*(-1 + 1). Let v be j(r). Suppose -u - 8 = -5*u, -u = -3*t + v. Is t prime? False Is (0 + -6)*(-41487)/18 a composite number? False Let f(p) = 2519*p - 450. Is f(13) a prime number? True Let l(u) = 13*u**2 + 2*u + 27. Let a(y) = -13*y**2 - y - 28. Let q(b) = 2*a(b) + 3*l(b). Is q(8) a composite number? True Let m = -61 + 170. Is m prime? True Let g(j) = 17*j**2 - 1 - 5*j**2 + 0. Is g(6) a composite number? False Let w = 11231 - 6076. Is w a composite number? True Let m = -18 + 32. Let q = m - 10. Is (1 - 1)/2 + q prime? False Suppose -5*i = -3 + 8. Let p = i + 4. Suppose 2*u + 3*w - 86 = 0, p*u - 2 = w + 149. Is u prime? False Let i = 16 + -13. Suppose i*l + 594 = 6*l. Suppose -5*h = 2*z - 153, 0*h - 3*h = -3*z + l. Is z composite? True Let c = 55 - -6656. Is c a composite number? True Suppose 4*o = 4*r + 636, -2*o + 157 = 5*r - 147. Is o a composite number? False Suppose -6*t + 10*t + 4*x = 4060, -15 = -3*x. Suppose -2*o - t = -3*o - p, -o + 1007 = -2*p. Is o prime? True Let k = -9 + 25. Is (k/24)/(4/762) composite? False Let f = 1 - -12. Suppose f = u - 3. Let g = u - 1. Is g a prime number? False Suppose 420 = -2*w + 4*x - 0*x, 0 = -5*w + 3*x - 1050. Let l = 511 - w. Is l a prime number? False Suppose 0*q + 4*k = -2*q + 16, 4*q - 25 = -k. Let r be (2/q)/((-3)/(-18)). Suppose -83 = -w - 4*p, 4*p + 119 = r*w - 83. Is w a composite number? True Is -2*(-4679)/(-2)*(24 + -31) composite? True Let d = 24 + -9. Is (-1058)/(-8) - d/(-20) a composite number? True Let p(a) = 56*a**2 + 25*a - 97. Is p(12) a composite number? True Suppose 6*t = h + 505576, -2*h = 8*t - 13*t + 421311. Is t a prime number? True Let c = -9681 + 14628. Suppose 4*v = c - 755. Is -4*1 + v/8 prime? True Let t be 50/(-6) + 1/3. Let u be ((-4)/t)/(2/8). Suppose -38 + 148 = u*h. Is h a composite number? True Let l be 1*4 - (-41 + 12). Suppose -31*y - 148 = -l*y. Is y prime? False Let f(w) = w**2 + w - 2. Let j be f(2). Suppose -b - 3070 = -6*b. Suppose -b = -6*z + j*z. Is z composite? False Let x(j) = -8*j**3 - j**2 - 2*j - 1. Let a be x(-1). Let d(s) = 56*s + 13. Let b be d(a). Let o = b + -204. Is o a prime number? True Is (-141810)/(-180) + (-5)/6 a composite number? False Let c(r) = -160*r + 1. Suppose 2*s + 4*p - 16 = 0, 0 = 4*s + p - 1 - 3. Suppose -k - 2 + 1 = s. Is c(k) prime? False Let f(v) be the first derivative of 1/2*v**2 + 28/3*v**3 - 5*v - 4. Is f(4) a prime number? False Let m(l) = 166*l**2 + 23*l - 116. Is m(9) a composite number? False Let z = 569 + 1190. Is z a composite number? False Suppose -s + o + 0 = 2, 5*s - 40 = -5*o. Suppose 3*w = 2*z + 9 - 29, 2*w = -4. Suppose 4*t - z*n - 2508 = -s*n, 1266 = 2*t + n. Is t a composite number? False Suppose 5*j - 13658 = -4*k, 0 = -j + 2*k - 7*k + 2719. Is j prime? False Is 6/(-2) + 2460 + 20 a prime number? True Let y = 5 - 13. Is (1 - 12/5)/(y/5480) a composite number? True Let o = 23 + -27. Is -4 - (-1 + o) - -222 a composite number? False Let j = 7 - 4. Suppose 40 + 14 = -j*a. Is 201/2*(-12)/a a prime number? True Let x(y) = -5*y**2 + y - 23. Let p(t) = 2*t**2 + 11. Let j(i) = -7*p(i) - 3*x(i). Let b be j(5). Is 221/b - 21/14 a prime number? True Suppose 2967 = h + 1156. Is h prime? True Suppose -9*w - 20 = -14*w. Suppose -3*f = j + 378, 2*j = -w*f - 871 + 109. Let z = 836 + j. Is z a prime number? True Let i(y) = 469*y + 555. Is i(14) a composite number? False Let n(q) = -q - 8. Let f be n(-13). Let p(m) = -20*m**3 - 5*m - m**2 + m + 14*m**3 + f. Is p(-4) prime? True Is 995660/100 + 4/10 a prime number? False Let t(k) = -k**3 + 7*k**2 + 13*k - 6. Let i be t(7). Suppose -339 = -4*u - 5*o, 208 = 3*u - 4*o - i. Is u a prime number? False Suppose -3*k = 8 - 8. Suppose k = -6*n + 11*n - 245. Is n prime? False Let j = 10624 - 785. Is j composite? False Let i be 20/(-70) - 37/(-7). Let v be (-3)/i - (-3386)/10. Suppose -2*t + 4*t = v. Is t a prime number? False Suppose -4*v + c + 313 = 0, -16*c + 18*c = 4*v - 310. Is v prime? True Let c be ((-2)/(-4))/(1/32). Let r be (-7)/2 - 8/c. Is 71 - (-2 - r) - 2 a prime number? True Let w(g) = 7*g**3 - 6*g**2 + 5*g. Let u be w(5). Let k be (5/2)/((-2)/(-448)). Suppose -2*r = 4*t - u, 3*t - r = -0*t + k. Is t a composite number? True Let p = -74220 + 142979. Is p prime? False Let v(n) = 584*n - 25. Suppose -27 - 12 = -13*g. Is v(g) a prime number? False Let h(z) = 2*z**2 + 6*z - 11. Let u be h(5). Suppose 4*g + 112 = 32. Let m = u + g. Is m prime? False Let f = 11 - 9. Suppose r + 2 = -3, -40 = -5*p - f*r. Is 332/p - 8/40 a composite number? True Suppose 0 = -14*a + 9*a. Suppose a = -j - 3*z + 1129, 2*j + z - 4472 = -2*j. Is j composite? False Let p = -31 + 9. Let b be (-3952)/(-44) - 4/p. Is (6*b)/4 - 1 a prime number? False Suppose 2*v - 132 - 206 = 0. Suppose -212 = -t + v. Suppose 4*s + t = 7*s. Is s prime? True Let l(j) = -1330*j + 99. Is l(-5) a composite number? True Let k be (106 + -1)*(-2)/(-3). Suppose -m + 229 = -133. Suppose 3*i - 223 = -j, i + k + m = 2*j. Is j a prime number? False Let y be -18*(((-4)/(-12))/1 - 1). Let f(l) = 27*l + 15. Is f(y) composite? True Let a(p) = -1 + 2 - 2 - 225*p - 69*p. Let h = 2 + -3. Is a(h) composite? False Let f = -4429 + 8603. Suppose 871 = 5*m - f. Is m a prime number? True Let i(u) = u + 2. Let c be i(-2). Suppose 159 = r + 5*j, 3*r - 4*j - 249 - 190 = c. Is r a composite number? False Let u(v) = 34*v**2 - 16*v + 20. Let p be u(9). Suppose 10603 = 3*f - p. Is f composite? True Let c be 1/(-3) + 4/3. Let y be c*(1 + -2)*169. Let h = y + 288. Is h composite? True Let s(u) = 60*u - 47. Is s(15) a prime number? True Let f be (-42)/1*(3 - (-6)/(-3)). Is (-2)/(56/(-64644)) + (-12)/f a prime number? True Suppose -2*h = -3*v + 1911, 6*h + 641 = v + 4*h. Is v a composite number? True Suppose -i - 4*w + 175 = -9*w, i - 3*w = 179. Is i a composite number? True Let l be 0 - -7 - 4/2. Suppose 16 + l = u. Is u a composite number? True Let t be (-1)/4*12*(-4)/6. Is (-6)/t - (-5104)/(6 + -2) a composite number? True Let z = 495 - 483. Let j(x) = -x**3 + 6*x**2 + 5. Let t be j(6). Suppose z*k = t*k + 1015. Is k a prime number? False Let f = -65 - -82. Let o(s) = s**3 - 15*s**2 - 21*s - 10. Is o(f) prime? True Let f(k) = 37*k - 53. Let v(n) = -111*n + 158. Let b(h) = 17*f(h) + 6*v(h). Is b(-6) a prime number? True Suppose 5*w - 264 = f, -2*w + 5*w + 5*f - 164 = 0. Let n = 458 + w. Is n a composite number? True Suppose -7*s + 859 = -2*s - 3*m, 4*m + 692 = 4*s. Let f = s + -112. Is f composite? True Let s(h) = 1214*h**3 + h - 2. Let w be s(1). Let x = -724 + w. Is x composite? True Suppose 0 = t + 2*t - 18. Let h = 14 + -18. Is (h/t)/(8/(-2868)) prime? True Suppose -x + 15 = -4*r - 2, r = -3*x + 12. Let h be 2 - (0 - r) - 265. Let l = 1407 + h. Is l a prime number? False Let n = 4157 - 2184. Is n composite? False Let u = 9769 - 5796. Is u a composite number? True Let l be ((-1)/2)/(-7*(-4)/112). Is ((-5)/20)/(l/1192) a composite number? False Let h be (-6 - 0) + 4 - (0 - 225). Suppose 4*r - h = 1893. Is r a composite number? True Let k(t) be the third derivative of t**5/60 + t**4/6 + t**3/3 - 2*t**2. Is k(11) composite? False Let m(f) = -f**3 - 11*f**2 + 13*f + 16. Let c be m(-12). Is (6 - c)/(-1) + 1209 composite? True Let c(p) = 18*p**3 - 4*p**2 + 6*p + 13. Is c(6) composite? False Suppose -6*w + 3*f + 620 = -4*w, -937 = -3*w + f. Let y(i) = -7*i + 37. Let v be y(5). Suppose v*b = w + 369. Is b a composite number? True Suppose -3*r - 5*q = -1717 - 9945, 0 = -3*r - q + 11666. Is r composite? False Let y be (991/2)/(5/10). Suppose y + 1142 = 3*u. Let f = u - 292. Is f a prime number? True Suppose -3*l = 2*v + 37, -5*l + 4*v = 5 + 20. Let o be 3/(-3 + (-28)/l). Let i = 28 + o. Is i a composite number? True Suppose 3*w + 4*h - 12 = h, -w = 5*h. Suppose 2*u - f - 7 = 0, -8*u + 3*f + 6 = -5*u. Suppose -u*r + w*a = 4*a - 418, 0 = -r + 3*a + 92. Is r prime? True Let v(w) = w**3 + 6*w**2 - 13*w + 11. Is v(16) composite? True Let w(b) = 45*b + 15. Let o(g) = -15*g - 5. Let n(l) = -8*o(l) - 3*w(l). Let z = 11 + -21. Is n(z) a prime number? False Suppose 3*y - 5*c = 77907, -5*c = 2*y - 3*c - 51938. Is y a prime number? True Suppose 8*f - 4
{ "pile_set_name": "DM Mathematics" }
7 How many months are there in 0.3837477 decades? 46.049724 What is seven eighths of a kilometer in meters? 875 How many grams are there in 77/2 of a kilogram? 38500 What is three fifths of a litre in millilitres? 600 How many hours are there in 1/4 of a week? 42 How many months are there in three eighths of a century? 450 How many minutes are there in one fifth of a hour? 12 Convert 258.3987um to meters. 0.0002583987 Convert 532935.6 micrograms to nanograms. 532935600 How many centimeters are there in 311.134 kilometers? 31113400 What is 83370.18mg in kilograms? 0.08337018 How many milligrams are there in 59963.9 nanograms? 0.0599639 Convert 555.7712 kilometers to micrometers. 555771200000 How many millilitres are there in 3/8 of a litre? 375 How many meters are there in 3/50 of a kilometer? 60 How many centimeters are there in thirty-one fifths of a meter? 620 How many hours are there in eight thirds of a day? 64 What is 7/2 of a litre in millilitres? 3500 What is 2/125 of a centimeter in micrometers? 160 How many meters are there in sixty-four fifths of a kilometer? 12800 What is 13023.6 months in decades? 108.53 How many kilometers are there in 724.4884mm? 0.0007244884 How many years are there in one quarter of a century? 25 How many nanometers are there in 19.33108 millimeters? 19331080 How many kilograms are there in 21/8 of a tonne? 2625 How many months are there in fourty-eight fifths of a decade? 1152 How many millilitres are there in twenty-one fifths of a litre? 4200 Convert 17.85621 kilograms to tonnes. 0.01785621 What is 7471.571nm in micrometers? 7.471571 What is 15/4 of a litre in millilitres? 3750 What is twenty-seven quarters of a century in years? 675 What is 1/10 of a meter in micrometers? 100000 What is 1/4 of a gram in milligrams? 250 What is twenty-five quarters of a litre in millilitres? 6250 What is 3/40 of a decade in months? 9 How many millimeters are there in eleven halves of a meter? 5500 How many nanometers are there in 69.63558 kilometers? 69635580000000 What is 66.86753km in micrometers? 66867530000 How many minutes are there in one tenth of a hour? 6 What is 85.3896km in meters? 85389.6 What is 0.6620344 kilometers in micrometers? 662034400 What is 12/25 of a milligram in micrograms? 480 Convert 318.8183um to meters. 0.0003188183 What is 348.53814s in hours? 0.09681615 How many milliseconds are there in 616.2089 days? 53240448960 What is fifteen quarters of a millimeter in micrometers? 3750 What is 2/45 of a week in seconds? 26880 What is 11/2 of a centimeter in micrometers? 55000 What is thirteen fifths of a litre in millilitres? 2600 What is 3/40 of a gram in micrograms? 75000 How many months are there in 12/25 of a century? 576 What is 42/5 of a kilogram in grams? 8400 What is eleven halves of a litre in millilitres? 5500 What is twenty-seven fifths of a microgram in nanograms? 5400 How many meters are there in six fifths of a kilometer? 1200 How many tonnes are there in 0.1101386ug? 0.0000000000001101386 What is 1/5 of a centimeter in micrometers? 2000 Convert 65.89958 decades to years. 658.9958 What is 398.9425ml in litres? 0.3989425 How many centimeters are there in 3/10 of a meter? 30 How many litres are there in 85803.2ml? 85.8032 How many millimeters are there in seventy-one fifths of a meter? 14200 How many milliseconds are there in 3/40 of a minute? 4500 What is three fifths of a microsecond in nanoseconds? 600 What is 3331.923nm in centimeters? 0.0003331923 How many centimeters are there in 10544.05km? 1054405000 What is 150988.4 kilometers in centimeters? 15098840000 What is 5/28 of a week in hours? 30 Convert 2.0585013 months to centuries. 0.00171541775 What is 1/20 of a microgram in nanograms? 50 Convert 0.9388552 millimeters to meters. 0.0009388552 What is 31076.94 months in years? 2589.745 What is three fifths of a kilometer in centimeters? 60000 How many litres are there in 0.4820396 millilitres? 0.0004820396 What is six fifths of a millimeter in micrometers? 1200 What is eighteen fifths of a hour in minutes? 216 Convert 202.87998 months to years. 16.906665 How many hours are there in 43/4 of a day? 258 What is 22.17906 weeks in seconds? 13413895.488 Convert 9643.781 millilitres to litres. 9.643781 How many millilitres are there in 7/4 of a litre? 1750 How many micrometers are there in twenty-one fifths of a millimeter? 4200 What is 1/10 of a meter in centimeters? 10 What is 4169.346um in centimeters? 0.4169346 What is 19.29118 nanograms in grams? 0.00000001929118 How many seconds are there in two fifteenths of a week? 80640 Convert 88.23041 centuries to years. 8823.041 How many millilitres are there in eighteen fifths of a litre? 3600 What is 913.1403 centimeters in kilometers? 0.009131403 What is 46/5 of a century in months? 11040 What is thirty-two fifths of a meter in millimeters? 6400 What is 7653.387 litres in millilitres? 7653387 What is 11/2 of a hour in minutes? 330 How many microseconds are there in 1/10 of a second? 100000 How many meters are there in one quarter of a kilometer? 250 How many tonnes are there in 914972.7ng? 0.0000000009149727 What is 27/5 of a century in years? 540 What is 37150.72nm in meters? 0.00003715072 How many microseconds are there in 69.5817ns? 0.0695817 What is 10/9 of a day in minutes? 1600 How many kilograms are there in 0.0091602ng? 0.0000000000000091602 Convert 50100.63 millimeters to nanometers. 50100630000 How many litres are there in 4604.383 millilitres? 4.604383 What is 25/4 of a meter in centimeters? 625 What is 13/4 of a litre in millilitres? 3250 What is 7/8 of a centimeter in micrometers? 8750 What is 497158.2 milligrams in micrograms? 497158200 Convert 55.13878 years to centuries. 0.5513878 Convert 1.962463 years to millennia. 0.001962463 How many months are there in twenty-three sixths of a decade? 460 How many months are there in 1/4 of a century? 300 How many kilograms are there in 27/2 of a tonne? 13500 What is 2.611155 millennia in years? 2611.155 How many nanometers are there in 9.06542um? 9065.42 What is 3/10 of a century in decades? 3 How many meters are there in 18674.45 nanometers? 0.00001867445 How many meters are there in twenty-five halves of a kilometer? 12500 How many tonnes are there in 0.1073152 micrograms? 0.0000000000001073152 How many centimeters are there in eighty-eight fifths of a meter? 1760 How many microseconds are there in 782859.9 minutes? 46971594000000 What is 1145979.6 months in decades? 9549.83 What is eleven quarters of a litre in millilitres? 2750 What is seven quarters of a microgram in nanograms? 1750 Convert 96.12636l to millilitres. 96126.36 How many minutes are there in 7/2 of a week? 35280 How many grams are there in 8.803654ng? 0.000000008803654 What is 880073.2mg in tonnes? 0.0008800732 How many micrometers are there in eleven eighths of a centimeter? 13750 How many millilitres are there in 9/25 of a litre? 360 What is one fifth of a litre in millilitres? 200 How many milligrams are there in 26.24762ng? 0.00002624762 What is 3/8 of a meter in millimeters? 375 What is three fifths of a decade in years? 6 How many millilitres are there in 3/40 of a litre? 75 Convert 0.1933975cm to millimeters. 1.933975 What is fifteen quarters of a kilometer in meters? 3750 How many millilitres are there in 1/4 of a litre? 250 Convert 6929.596 weeks to microseconds. 4191019660800000 What is 10488.54ml in litres? 10.48854 Convert 77.57958 micrometers to centimeters. 0.007757958 How many days are there in 9822902.4 nanoseconds? 0.000000113691 Convert 0.3975416 millennia to decades. 39.75416 What is 0.0009349 litres in millilitres? 0.9349 How many nanoseconds are there in 1/4 of a microsecond? 250 What is thirteen quarters of a day in hours? 78 How many kilometers are there in 0.5736342 meters? 0.0005736342 How many millilitres are there in 41/2 of a litre? 20500 How many days are there in eighteen sevenths of a week? 18 How many meters are there in 7/4 of a kilometer? 1750 What is 21.2848 kilograms in nanograms? 21284800000000 How many millilitres are there in eleven tenths of a litre? 1100 What is sixty-nine halves of a micrometer in nanometers? 34500 What is 3.843209 weeks in minutes? 38739.54672 What is three fifths
{ "pile_set_name": "DM Mathematics" }
5 - 11)) 36 (-18 - -19 - -61) + (8 - 16 - -22) 76 What is -36 + -28 + 48 + -18 + (-1 - 2)? -37 (-123 - 2) + -6380 + 6370 -135 (-4 - -17 - 11 - 22) + -4 + -4 -28 What is 17 + -67 + (26 - 6)? -30 Evaluate (-50 - (-75 - -52)) + -8. -35 -11 - ((-7 - (-10 + (-10 + 12 - -6))) + -22) 16 What is 34 + -29 + 6 + 2 + -5 + -1? 7 Calculate -231 + 95 + 57 - 24. -103 What is 12 + 22 + 90 + -39 - -1? 86 What is 6 + -4 + ((14 - -7 - 2) + 6 - 6)? 21 What is the value of -64 + (-20 - -26) - 58? -116 What is the value of -16 + (0 - (15 + -5 + -18)) - (-1 - 7)? 0 What is the value of -11 + (43 - 27 - (-1 - 1) - 14)? -7 What is the value of (-8 - (-38 - (-23 - 1))) + -5? 1 -24 + 16 - (-3 + -1 + -64 + 59) 1 Calculate (133 - (-4 - -5)) + 288 + -328. 92 Calculate -29 + -53 + 37 - -110. 65 Evaluate -18 - ((-111 - -31) + -25 - (-4 - 15)). 68 Calculate -7 - ((29 - 36) + 1 + (5 - (1 - -108))). 103 -203 + 46 - -69 - -23 -65 -92 + (40 - 6 - 19) + 7 -70 What is 28 - (154 - (53 - 25)) - -4? -94 Evaluate 1 - (104 + -32 + -50). -21 Evaluate -22 - -35 - (0 - (2 - (-9 - -35))). -11 What is the value of (-13 + 3 + 13 + 11 - 2) + 20? 32 187 - 143 - (10 + -3) 37 Evaluate -20 - (4 - 40 - -38). -22 -66 - (-135 + (-12 - -17)) 64 Evaluate (-22 - (-98 - -127)) + -20. -71 What is the value of -26 + (0 - (-3 + -73))? 50 Calculate ((-42 - -40) + -2 + -3 - (-11 + -1)) + -7. -2 Calculate 69 + (-76 - -9) + -1 + 35. 36 -66 + (-216 - -124) + 190 32 -21 - ((15 - (30 + -17)) + 13) -36 What is the value of (37 - (1 + (1 - 3))) + (24 - (-49 - -79))? 32 What is the value of -68 - (49 + (-41 - 25))? -51 (-66 - (-46 - -140)) + 296 136 What is the value of (-43 - -82) + -50 - ((0 - 5) + (35 - 1))? -40 -6 + (10 - (10 - 18)) - (3 + -57) 66 Calculate 81 - 31 - (17 + (-1 - 5)). 39 -1 + 5 + 8 + -2 - (85 + -26) -49 What is -36 - ((48 - 84) + 5)? -5 Evaluate 40 + (-99 - -45) + 4. -10 What is the value of 84 - ((53 - 14) + -4)? 49 Calculate (-291 - -194) + 80 - (1 + 1 + -68). 49 Evaluate -60 - -1 - (-11270 - -11205). 6 -5 + 2 - 3 - (-966 + 956) 4 Evaluate -75 + 3 + 5 + 0 - (3 + 1 + -12). -59 What is (5 - (-27 - 4)) + -4 + (-9 - 3) + 9? 29 What is 12 + (-1 + -4 - -1) + -275 + 264? -3 Calculate 4 - 3 - -13 - (15 - (-28 + 53)). 24 What is the value of -1 + -5 - (72 + -114 - (0 - 46))? -10 What is (-40 - (-169 - -15)) + -14? 100 Calculate -4296 + 4351 - (-24 - 3). 82 Evaluate (2 - 8 - (2 - 1)) + -52. -59 What is the value of (-100 - (-27 + -40)) + (-2 - 27)? -62 What is 1779 + -1649 + -176 + -1? -47 Calculate -17 + 1 + (-10 - 1 - (5294 - 5301)). -20 53 + (-20 + 1 - (0 - (-5 + 17))) 46 Evaluate (1 - (2 + -2) - 13 - (-2572 + 2561)) + -54. -55 Calculate 12 - 5 - -14 - (10 - -37). -26 What is (587 - 584) + (2 - (-4 - (4 + -6)))? 7 Evaluate -1 + -9 - ((-78 - 7) + 62). 13 27 + 2 + 3 + -5 + (23 - (34 - 14)) 30 What is the value of (-57 - (-56 - -3) - (22 + 0)) + 15? -11 Calculate 87 + -96 + (29 - 52). -32 What is the value of 72 - -2 - (83 + -257 + 150)? 98 Calculate -7 - ((-22 - -29) + -80) - (-12 + (-2 - 0)). 80 Calculate 143 - 99 - (23 + 10). 11 What is 9 + (0 + -34 - (-11 + 23 + 3))? -40 What is the value of -4 + (-21 - 4 - -3 - 14)? -40 What is 1 - 10 - (5 + 1 + 12 + 0 + -44)? 17 Calculate 3 + (13 - 3) - (7 + -2) - (28 + 3). -23 Evaluate -6638 + 6804 + 1 + -99. 68 What is the value of -40 + -11 + -23 + 202 - 30? 98 What is -3 + (4 - 2) + (-96 - 71 - -108)? -60 Evaluate (-15 - (-11 - -7)) + (-9 - 4). -24 18 + 3 - (14 + -1 + 48) -40 -3 + (-9 - -10) + -14 - -10 - (-2 - -2) -6 -59 + 32 + (56 - 54) -25 What is the value of 8 - (63 - (5 - 8)) - (22 + -14)? -66 What is -15 - (-4 + (-14 - -4) + -1) - (-50 + -1)? 51 Evaluate (14 - 68) + -43 - -80. -17 -58 + -2 + (7 - (3 + -2 + 1)) + -6 -61 What is 39 + -55 + 24 - (-29 + -1)? 38 Evaluate (1 - -14) + -103 + -10 + 18 + -4. -84 -16 + -27 + -12 - ((-10 - -27) + -21) -51 Calculate 6 + 15 + -8 + -34 + 3 + -1. -19 Evaluate 56 + 2 + (326 - 367). 17 What is 45 - (-16 + (-5 - (-1 - 3) - (-43 + 27)))? 46 Calculate 71 - (37 + -12 - -4). 42 Calculate -6 - (36 - 1) - (8 - 11 - -16). -54 What is the value of 14 - 66 - (-206 - -158)? -4 (35 - 58 - -55) + -29 3 What is (-1 - 9) + 16339 + -16293? 36 Evaluate -17 + (-5 - -41) - -5. 24 Evaluate 0 - 2 - 0 - (-40 + -14 + 49 - -74). -71 Evaluate -32 + (-30 - -71) + -60. -51 (26 - 0) + -26 + 0 + 58 + -26 32 What is the value of -44 - (3 + -1 + (24 - 36))? -34 (-5 - -3) + (-4 - (-11 + 23)) + 6 + 51 39 Evaluate -47 + (41 - 1) + -4 - (0 + 1 - -38). -50 -14 - 67 - -27 - (1 - 14) -41 What is 3 - -9 - (-538 + 525 + -1 + 21)? 5 Calculate -13 - (-1 - (-6 + (-1 - (-6 + 16)))). -29 Calculate -6710 + 6596 + (35 - 3). -82 Calculate -2 + 4 + 2 + (-9 - -3) + 6 - 53. -49 What is 1291 + -1301 - (-3 - -2 - 4 - 2)? -3 Calculate -16 + (-41 + 17 - (-17 + (-10 - -8))). -21 What is the value of (-4 - -1) + -52 + -16 + 4 + 30? -37 What is the value of 63 - ((-5 - 24) + 13) - (2 + 5)? 72 (3 - (-2 - 52)) + (39 - (16 + 6 + 15)) 59 (41 - 36) + 1 + -3 + -15 + 115 + -164 -61 Calculate 36 + -156 + (32 + -26 - -11). -103 Calculate 4 + -30 + 7 + -9 + 9. -19 What is the value of 53 + -116 - -1 - -43? -19 What is (-3 + 1 - 12) + 354 + -310 + -58? -28 What is -59 + -3 + 2031 + -1900? 69 What is -55 + 38 - (-2 - 2 - (3 + 1 + 1))? -8 What is 5 + -28 + 172 + -154 - (0 - -25)? -30 Evaluate (44 - 100) + 32 - 14. -38 Evaluate (4 - 15) + 7 + (20 - 42 - -9). -17 What is -60 + -4 - -3 - (-7 - (13 + -7 + -12))? -60 What is the value of (4 + 4 - 16 - -9) + 1? 2 Calculate -53 + ((6 - 1) + 4 - 5). -49 What is the value of 10 - ((8 + -18 - 10) + -11)? 41 Evaluate (-66 + -74 - -170) + -85 + -3. -58 Calculate 8 - (-5 - -2 - (1 - -8 - -42)). 62 What is the value of 69 - (-37 + 39 + 30 - 12)? 49 Evaluate 10 + -4 + (-6 - (-1 + -4)) + -41. -36 Calculate 5453 + -5453 + 0 + -8 + 1 + 0. -7 -71 + -4 - (-175 - -105) -5 Evaluate 25 - (39 - (-6 + (-7 - 10))). -37 -7 + (0 + 92 - (31 + 1 + 22 + -44)) 75 Evaluate 123 + (-329 - -94) - 15. -127 Evaluate (115 - 73) + -188 - -95. -51 Evaluate (340 + -315 - (11 + 0)) + (29 - -28). 71 What is the value of (1 - -17) + 136 + -147? 7 What is -3 + (43 - 43) + -22? -25 Calculate (-29 - -13) + 6 + 8 + 5. 3 What is (-6 - -3) + 49 + (22 - (9 + 3 - -4))? 52 What is the value of -7 - ((-6 - -23) + -25 + -48)? 49 Calculate 1 + -4 + (5 - 9) - (2 + 0) - -47. 38 What is 52 + (-30 - 53) + 21? -10 (490 - 456) + 10 + 8 + -9 43 What is the value of 1 + 5 - (-71 - -50 - (-22 + 6))? 11 Calculate 13 - (3 + 6 + 15) - -5. -6 What is 82 + (79 - (-36 - -119))? 78 What is the value of (-46 - -22) + 25 + 3 + (-7 - -1) + 66? 64 What is the value of 510 + -516 - (23 + 3)? -32 Evaluate (1 - (-30 + 7 + -2)) + 21. 47 What is the value of -16 + -5 + (-14 + 10 + -4 - -7 - -9)? -13 Calculate -5 + -8 + 281 + -248. 20 What is 115 + (-91 - (-109 - -69))? 64 What is the value of -9 + (-75 - (-57 - 31) - (4 - 0))? 0 Evaluate (-4 - 3 - ((0 - 4) + -2)) + (33 - 28). 4 Evaluate (-30 - -118) + (-4 + 0 - (148 + -136)). 72 Calculate 135 - 71 - 55 - (85 + 0) - 1. -77 -25 + 95 + -25 + -83 -38 Calculate 18 + (-80 + 134 - 84) + (-17 - -1). -28 Evaluate 46 - (23 + 15 + -45 + 40). 13 Evaluate (1 - 31 - ((-5 - 2) + 9)) + (1 - 2). -33 What is (32 - (-30 + 98)) + -35 - 14? -85 -1 - (7 - 7 - -8) - (4 + -2) -11 Evaluate 4 + -1 + 2 - (73 + -38 - 48). 18 What is the value of -51 - (25 - 51) - ((-15 - -11) + -8)? -13 Evaluate (-8 - 4) + -4 - (0 - 4 - -3). -15 Evaluate 7 - (40 - 20) - (-33 + 122). -102 Calculate 91 - ((-4 + 32 - 42) + 23). 82 Evaluate -1 - (8 - (-2 - (-5 - 25))). 19 What is 450 + -467 + (-1 - 55) + -11? -84 What is the value of -19 + (-143 - 43) + 30 - (4 + -27)? -152 What is the value of 14 + -13 + -1 + -35 + 119 + -122? -38 What is 68 + -1 + 876 + -896? 47 Calculate -5 + (14 - 66) - (-2 + 7 + -3 + -3). -56 Calculate -17 + 1 - (107 + -77 + -43). -3 Evaluate 143 - (59 + 148 + -99). 35 What is (-99 - (-33 + -2)) + (-41 - -18)? -87 What is the value of 21 - (9 + 27) - (-13 + -3)? 1 Calculate 48 + 6 + 5 + -2 + -7 + 2 - -4. 56 What is the value of 13 + -1 + 13 + (-70 - -58) - 48? -35 -9 + 69 + 13 + (-36 - (-19 - -6)) 50 Evaluate (-47 - 9) + (-295 - -326). -25 Evaluate -8 + -12 + 17 + 8 + -10 + 1. -4 -6 - -17 - (37 - (-25 - -4)) -47 (274 - 88 - 112) + 9 83 2 + -139 + -5 + -62 + 7 + 80 -117 7 + 3 + 0 + (101 + -53 -
{ "pile_set_name": "DM Mathematics" }
sest to -2/3? (a) 1 (b) -2 (c) u c Let f be -2 - (1134/(-297) - (-2)/(-11)). What is the closest to f in -0.3, -2, 2/9, 0.09? 2/9 Let y = -0.07 - -3.07. Let d = -1.48 - -57.48. Let h = d - 56. Which is the nearest to h? (a) y (b) 0.3 (c) 1/23 c Let y = 0.05 - -0.05. Suppose 16*o + 2 = -78. What is the closest to y in o, 1/3, -2/23? -2/23 Let k be (-26)/(-65)*2/(-4). What is the closest to 1 in -4, 4, 69, k? k Let g = -86.5925 - 0.0075. Let k = 87 + g. Which is the closest to -0.7? (a) -3/8 (b) -0.2 (c) k a Let o = 2.15 - 7.15. Let m = 8 + -14. Which is the closest to m? (a) -0.5 (b) -1 (c) o c Let g = -24 - -21. Let d = 59 + -60. Which is the nearest to 4/7? (a) g (b) d (c) -0.4 c Let x = -38.5 - -39. Let g = 9 - 8. Let q = -0.55 + 0.15. What is the closest to g in x, q, 4? x Let q = 0.548 + -0.248. Which is the closest to -1? (a) -0.1 (b) q (c) -0.3 (d) -3 c Let d = -19 - -32. Let o = -8 + d. Suppose 19 = 3*u + 5*f, -o*f = 2*u - 0*f - 16. What is the closest to -4 in u, 0.4, -2? -2 Let p(d) = -d**3 - 6*d**2 - 3*d - 13. Let z be p(-6). What is the closest to 0.05 in -0.3, z, -4? -0.3 Suppose -2*g = x - 23, 3*g + 4*x = -15 + 62. Let t = 33.6 - 33.3. Let y = 0.9 + -1. What is the nearest to g in t, y, -1? t Let w = 679.93 + -680. What is the closest to 0 in 0.2, 0, w? 0 Let s be (1/1)/((-2)/(-6)). Let r = -15.6 + 28. Let h = 12 - r. Which is the nearest to -1? (a) 2/3 (b) s (c) h c Let q = 1.1 - 1.6. Let r = 30227/110 - 2537/10. Let l = r - 21. What is the nearest to 2 in q, -0.2, l? l Let a = 1983 + -1983. What is the nearest to -2/5 in a, 0.5, 7? a Let b = 16 - 37. Let u = -37 - b. Let i = u + 18. What is the closest to 0 in i, 1/6, 3/4? 1/6 Let z = 0.512 + -0.622. Which is the nearest to -0.1? (a) -3 (b) -4 (c) -0.06 (d) z d Suppose -w + 5*l = -2 + 20, -w - 5*l = -22. Let v = 31/90 - -1/18. Which is the closest to -2/5? (a) w (b) v (c) -2/9 c Let c = -1023/7 - -1024/7. Let d = 12 - 17. What is the closest to d in -0.4, c, 2/7? -0.4 Let t be (-4)/2 - ((-268)/(-120) - 3). Let r = t + 7/5. Which is the closest to 0.2? (a) 0.5 (b) 0.2 (c) r b Let l = 2/7 + -1/28. Let z = -9776/9 + 1086. Which is the nearest to l? (a) -0.3 (b) -5 (c) z c Let n = 1567 + -1566.9. What is the nearest to 3 in n, -0.9, -0.4, -1? n Let z = -0.1291 - -0.2291. What is the closest to z in 0.5, 4, 4/5? 0.5 Let t = 1.3 + -1.8. Let u = -8 + 7.9. Which is the closest to u? (a) -4 (b) t (c) -3 b Let b = -173 + 159.88. Let h = 0.12 + b. Let k = h - -11. What is the nearest to 0 in 0, k, -4? 0 Let i = -43 + 48. Which is the nearest to 1/4? (a) -5 (b) i (c) 61 b Let f = 1.19 - 2.19. Let w = -5.0238 - -0.0338. Let v = w + -0.01. Which is the closest to 1? (a) 1 (b) f (c) v a Let o = 0.051 - 0.251. Let m = 0.3 - 1.3. Let k = -1.1 + 0.1. What is the closest to m in o, k, -4? k Let j = 10.69 + -0.09. Let d = 25 + -14. Let r = d - j. What is the nearest to -1 in 0, r, -5? 0 Let d = 30.9 - 50.9. What is the nearest to 0 in 5, 1, -2, d? 1 Let n = -773 + 5414/7. What is the nearest to -2 in 3, -2/11, 5, n? -2/11 Let r = -0.25 + 0.51. Let u = r - 0.16. Which is the closest to u? (a) -0.3 (b) 3/4 (c) -1 a Let l = 0.3 + -0.6. Let s = l + 0.3. Let m(z) = -4*z + 56. Let h be m(13). What is the closest to s in 0.1, -3, h? 0.1 Let h = 1851 + -1852. Which is the closest to h? (a) -0.9 (b) 1 (c) 2 (d) 3 a Let v = 4.6 + -5. Let w = 0 - v. Let j(o) = -8*o**3 - 295*o**2 + 40*o + 106. Let i be j(-37). What is the closest to 1/3 in w, i, -3? w Let a = 0.6 + -2.6. Let n = -0.6 - 2.4. Suppose 6*z = 277 - 265. What is the nearest to -5 in n, z, a? n Let q be (8/(-6))/(2/(-1)). Let f = -0.2 - 2.8. Let v = -93/55 - -23/11. What is the closest to f in v, 0.3, q? 0.3 Suppose n + 4 = 5*f, 2*f + 24 = 3*n + 5*f. What is the closest to -0.2 in -2, -0.5, n? -0.5 Let l = 81.7 - 81.6. Let x be (-1)/2*1/(-2). What is the closest to l in 3/7, -2, x? x Let x = -211.7 + 212. Which is the closest to x? (a) -2 (b) -1 (c) 5 b Let v = 3 + -3. Let f = 56 + -56.1. What is the closest to 0.7 in v, f, -3? v Let g(q) = q**3 + q**2 - 5*q - 5. Let h be g(-2). Let o = 0.028 + -2.928. Let l = 3 + o. Which is the nearest to 2/3? (a) h (b) l (c) 4 a Let j = 498.9 - 499. What is the nearest to j in 2, -0.4, -0.5, 0? 0 Let c = 113 - 118. What is the closest to 0 in 12, -2, c, 1? 1 Let q = -2348/17 - -138. What is the nearest to 2/5 in -2, 0.03, q? 0.03 Let r = 0.39 - 0.15. Let j = r + -0.64. What is the closest to -1 in 0, 0.3, j? j Let v = 0 - -4. Let k = -1 - v. Let i = 0.5002 + -0.5002. Which is the closest to -0.1? (a) k (b) -4/7 (c) i c Let u(q) = 0*q**3 - 4 - 10*q**3 + 9*q**3 - q + 5*q**2. Let i be u(5). Which is the closest to 1/2? (a) i (b) -1 (c) -4 b Suppose 34*s + 4*g = 31*s + 542, 0 = 5*s - 2*g - 912. Which is the closest to 1? (a) -0.4 (b) 0 (c) s b Let f be (3/14)/((-6)/(-8)). Let o = -3.538 + 2.538. Which is the nearest to 7? (a) o (b) f (c) -0.5 b Let j(z) = z**2 - 4*z + 3. Let s be j(3). Let v be (-45)/2*(-7)/35. Let m = v - 5. Which is the nearest to s? (a) 2/21 (b) m (c) 1 a Let x be -4 - 6/((-12)/7). Let k = 23 + -28. What is the closest to -2 in 4, k, x? x Let f = -0.76 + -0.94. What is the nearest to 0.1 in -2, -3/2, 2/11, f? 2/11 Let j = 1 + -1. Let h = -0.1 + j. Suppose -q = -3*d - 15, 5*d - 13 = -4*q - 38. What is the nearest to -2/7 in h, -1, q? h Let q = 172.1 - 170.1. Which is the closest to 2? (a) -4 (b) q (c) 16 (d) -3/4 b Let m = 822 - 820. Which is the nearest to -2/3? (a) -2 (b) m (c) 2/13 (d) -5 c Let y = -0.93 - 3.07. Which is the closest to 0? (a) -0.03 (b) 5 (c) y a Let u = -173.5 - -173. Let z = -0.07 - 0.23. Let l = -0.2 - -0.1. Which is the closest to l? (a) z (b) u (c) -4 a Let m = 2.51 - 2.53. Which is the closest to 1? (a) 1 (b) -1/6 (c) m a Let b = -4.4 + 2.4. Let x(h) = -2*h + 3. Let l be x(3). Let p = 0.9 - 1. What is the closest to p in l, b, -5? b Let s = -1131 - -1128. Which is the nearest to 0.2? (a) s (b) 1/3 (c) 34 (d) -2 b Let k be (-2)/(-3) + 10/(-6). Let h = 9 + -35. Let y = h - -26.2. What is the nearest to k in -5, 2/13, y? 2/13 Let n be (-12)/(-54)*(-42)/(-28). Which is the closest to 2/7? (a) n (b) 3/2 (c) 0.1 (d) 4 a Let y(g) = -11*g + 21. Let z be y(6). Let d be (-3)/(z/(-2) + -3). Which is the closest to 0.1? (a) d (b) -3/4 (c) 4 a Let g = -33/476 - 5/68. Which is the nearest to 2/11? (a) g (b) -4 (c) -2/11 (d) 0.05 d Let u = 0.3 - 0.4. Let v = -1/11 - 6/55. Which is the closest to u? (a) v (b) -2 (c) -1/3 a Let h = 51 - 50.85. Let p = 0.05 + h. Let a = 0.34 + -0.04. What is the closest to -2 in 3, a, p? p Let n = -14/23 - -136/299. Let y = 8 + -2. Suppose 2*g - k + 1 = 0, -y*g - 4 = -3*g - 4*k. Which is the nearest to 1? (a) n (b) -4 (c) g c Let i = 2/209 - 223/1463. Suppose 0 = -z + 5*z - t + 96, -4*t - 99 = 5*z. What is the closest to -1/4 in z, i, 2? i Let r = 60 + -67. Let b = -6.6 - r. Let m be ((-1)/(-2))/((-7)/(-6)). What is the nearest to -1/4 in -2/9, m, b? -2/9 Suppose 5*v + 301 = -99. Let m = v - -238/3. Let z = 1361 - 1357. Which is the closest to m? (a) -2/11 (b) z (c) -0.1 a Let n = 401 + -401.1. What is the closest to n in 1/45, 1/2, -2? 1/45 Let r = -561 - -565. What is the closest to 0.1 in r, -4, 1/3, 12? 1/3 Suppose 4*k = 4*y, 0 = -y - 3*k - 0 + 4. Which is the closest to y? (a) -5 (b) -0.07 (c) -2/3 b Let k = 537/11 - 49. Let d = 210 - 210. Which is the nearest to 0.2? (a) k (b) d (c) -0.2 b Let z = 57.5 - 45. Let h = z - 11. Let t = 3.5 - h. Which is the closest to 0.1? (a) t (b) 1 (c) -0.1 c Let t = 0.1 + -0.1. Let j(p) = -2*p**3 - 60*p**2 - 251*p - 34. Let f be j(-25). What is the closest to 0.2 in 1, f, t? t Let f(h) = -7*h**2 - 4. Let x be f(0). Which is the closest to -0.1? (a) 3/7 (b) x (c) 8 (d) 6 a Let x = -28.1 - -28. Let n = 23/36 + -5/36. What is the closest to x in n, 1, -0.8? n Let o = 0 + 0.08. Let k = o + -0.07. Let r = 0.41 - k. Which is the closest to -1/3? (a) 5 (b) r (c) 1/5 c Let z = 18.73 + -19.23. Let d = 3 + -3.2. Let y = d + 0.3. Which is the closest to y? (a) -1 (b) -1/4 (c) z b Let y = 482 - 480.6. Which is the nearest to 19? (a) -3 (b) 1/3 (c) -0.4 (d) y d Let t = 1696 - 1694. What is the
{ "pile_set_name": "DM Mathematics" }
36*f - 73*f. -3*f Collect the terms in 3*v**3 + 39*v**2 + 0*v - 10*v - 39*v**2. 3*v**3 - 10*v Collect the terms in -4*v**3 - 5*v**3 - 4*v**3 + 11*v**3. -2*v**3 Collect the terms in 15 - 6 + 3*y**3 + 40*y**2 - 9. 3*y**3 + 40*y**2 Collect the terms in -10*h - 23*h + 34*h. h Collect the terms in -27 + 0*g + 27 - 7*g. -7*g Collect the terms in 2*f + 4*f + 7*f. 13*f Collect the terms in 0*s**2 + 14*s**2 - 25*s**2. -11*s**2 Collect the terms in 7*i - 7*i + 6*i. 6*i Collect the terms in 0 + 2 + 22*f - 1 - 11*f. 11*f + 1 Collect the terms in 2*s - s - 3*s**2 - s. -3*s**2 Collect the terms in -4*s**2 - 85*s**3 + 4*s**2 + 87*s**3. 2*s**3 Collect the terms in -15*p + 28*p + 3 + 2 - 16*p. -3*p + 5 Collect the terms in -2024*u**3 - 1146*u**3 + 615*u**3. -2555*u**3 Collect the terms in 0 + 0*o + 10 + 6*o - 10. 6*o Collect the terms in 18*t**2 - 5*t + 4*t + t. 18*t**2 Collect the terms in -87 + 8*s + 169 - 82. 8*s Collect the terms in -18*t**2 + 5*t - t - 3*t. -18*t**2 + t Collect the terms in 2279*k**3 + 12 - 12. 2279*k**3 Collect the terms in -4*f + 8 + 9 - 17. -4*f Collect the terms in -5*n**3 + 30*n**3 - 12*n**3 - 9*n**3. 4*n**3 Collect the terms in 125*f - f**2 - 125*f. -f**2 Collect the terms in -24*z**3 + 3*z**3 + 9*z**3 + 9*z**3. -3*z**3 Collect the terms in q + 0 + q + 3 - 3. 2*q Collect the terms in -11*q**3 + 31*q**3 - 8*q**3 - 11*q**3. q**3 Collect the terms in v + 4*v - 7*v + 2*v + v. v Collect the terms in -878*c**3 - 876*c**3 + 1757*c**3 + 4*c - 4*c. 3*c**3 Collect the terms in 247*t**3 - 433*t**3 - 350*t**3. -536*t**3 Collect the terms in -120*s**2 + 2*s + 108*s**2 - 2*s. -12*s**2 Collect the terms in -3240 - 9*p**2 + 3240. -9*p**2 Collect the terms in 3*a**3 + 3*a**3 + 0*a**2 + 0*a**2. 6*a**3 Collect the terms in 16*j - 13*j - 6*j. -3*j Collect the terms in -17*y**2 + 3*y**2 + y**3 - 4*y**3 + 14*y**2. -3*y**3 Collect the terms in -15*j + 4 - 4 - 9*j. -24*j Collect the terms in -15*m**2 - 22*m**2 - m**2. -38*m**2 Collect the terms in -66 + 46 + 3*p**2 + 47. 3*p**2 + 27 Collect the terms in -3665*b + 7339*b - 3672*b. 2*b Collect the terms in 100*w + 77*w - 180*w. -3*w Collect the terms in 7*h**3 - h**3 - 7*h**3 + 16*h**3. 15*h**3 Collect the terms in -j - j + 23*j**2 + 2*j. 23*j**2 Collect the terms in -911*d**2 + 459*d**2 + 451*d**2. -d**2 Collect the terms in -2 + 90*o**2 - 177*o**2 + 2 + 90*o**2. 3*o**2 Collect the terms in 161*g**3 - g + g - 175*g**3. -14*g**3 Collect the terms in 155 + w**3 - 19*w**3 - 155. -18*w**3 Collect the terms in 1 - 3*k - 64*k**2 + 4*k - k. -64*k**2 + 1 Collect the terms in -t + 0*t - 6*t + 12*t - 10*t. -5*t Collect the terms in 125*q**3 - 3*q**3 - 12*q**3 + 57*q**3. 167*q**3 Collect the terms in -54*r - 272 + 272 + 12*r. -42*r Collect the terms in 548 - 548 + 8*k**2. 8*k**2 Collect the terms in -67*c**3 - 52*c**3 + 117*c**3. -2*c**3 Collect the terms in 30*f - 677 + 677. 30*f Collect the terms in 56*b**2 - 53*b**3 + 37*b**3 - 56*b**2. -16*b**3 Collect the terms in 49*u**3 + u**2 - u**2. 49*u**3 Collect the terms in -3*q**2 + q**3 - 5 + 3*q**2. q**3 - 5 Collect the terms in 13*f**3 - 24*f**3 + 0*f**3. -11*f**3 Collect the terms in 2*x**3 + 9*x**3 - 4*x**3 + 2*x. 7*x**3 + 2*x Collect the terms in -30*o**2 + 27*o**2 + 66*o - 137*o + 71*o. -3*o**2 Collect the terms in 0 + 0 + 58*n - 165*n. -107*n Collect the terms in -255*o + 1 + 1216*o + 0. 961*o + 1 Collect the terms in -16 - 27 + 0*m + 0*m + m. m - 43 Collect the terms in -4*f + 909*f**2 - f + 5*f. 909*f**2 Collect the terms in -9*d - 20*d**3 + 16*d**3 - 11*d. -4*d**3 - 20*d Collect the terms in 1 + 7*u**2 - 5 + 3*u**2 - 2*u**2. 8*u**2 - 4 Collect the terms in v**2 + 0 + 5*v - 4*v**2 + 0. -3*v**2 + 5*v Collect the terms in -42 + 80*w + 75*w - 153*w. 2*w - 42 Collect the terms in 0*n + 4*n - 3*n + 7*n. 8*n Collect the terms in 2*c - 11*c**2 + 2*c**2 - 2*c. -9*c**2 Collect the terms in -4*l**3 - 2*l**3 - 18*l**3. -24*l**3 Collect the terms in -1 + 1 + 564*a**2 - 543*a**2. 21*a**2 Collect the terms in -4*r**2 - 14*r**2 - 5*r**3 + 0*r**2. -5*r**3 - 18*r**2 Collect the terms in 16 + 4*j - 35 + 9. 4*j - 10 Collect the terms in a - a + 10*a + a - 13*a. -2*a Collect the terms in 15*n - 31 + 31. 15*n Collect the terms in 174*c - 121*c - 40*c. 13*c Collect the terms in 27307*l + 5 - 5 - 27309*l. -2*l Collect the terms in -408 - 49*j - 2*j**3 + 49*j + 408. -2*j**3 Collect the terms in -6244 + 6244 - 15*c. -15*c Collect the terms in 21*j**2 - 10*j**2 - 3*j**2. 8*j**2 Collect the terms in -2*b**2 - 9*b**2 + 13*b**2. 2*b**2 Collect the terms in 4*p + 2*p + p - p - 14*p. -8*p Collect the terms in 0 - 5*x - 1 + 0 + 3. -5*x + 2 Collect the terms in -33*t + 11*t + 13*t**3 + 12*t + 10*t. 13*t**3 Collect the terms in -2173*p + 1088*p + 1086*p. p Collect the terms in 13010*x**2 + x**3 - 13010*x**2. x**3 Collect the terms in 13*t + 2 - 3 + 1. 13*t Collect the terms in 3*u + 2 - 2 + 0. 3*u Collect the terms in -519*r + 4 + 521*r - 4. 2*r Collect the terms in 10*h**3 - 4*h**3 + 4*h**3 - 2*h**3. 8*h**3 Collect the terms in 1570*r**3 - 3119*r**3 + 1571*r**3. 22*r**3 Collect the terms in -2*m - 26*m**3 + 2*m. -26*m**3 Collect the terms in -9*u - 4*u + 2*u. -11*u Collect the terms in 11*h**2 + 10*h + 3*h**2 - 12*h + 2*h. 14*h**2 Collect the terms in 0*u**2 - u**2 + 4*u**2. 3*u**2 Collect the terms in 0*x**3 + 1145*x - 1145*x - 8*x**3. -8*x**3 Collect the terms in -207*v**2 - 569*v**2 - 146*v**2. -922*v**2 Collect the terms in 2*v + 2*v**2 - 2*v - 7*v**2 + 2*v**2. -3*v**2 Collect the terms in 5*o - 5*o + 6*o + 9*o. 15*o Collect the terms in a**3 + 70 - 70. a**3 Collect the terms in 25 - 25 + 4*k**2 - 6*k**2. -2*k**2 Collect the terms in 238 - w**2 - 475 + 237. -w**2 Collect the terms in -52*n**2 + 30*n**2 + 23*n**2. n**2 Collect the terms in 17*r**2 + 11*r**2 + 51*r**2 + 11*r**2. 90*r**2 Collect the terms in -w - 2*w + 8*w. 5*w Collect the terms in -2537*t**2 + 1266*t**2 + 1267*t**2. -4*t**2 Collect the terms in -26 - 20 + 46 + 24*v. 24*v Collect the terms in 2 + 0 + 0 - 249*r. -249*r + 2 Collect the terms in -a**2 - 2*a + 4*a**2 - 2*a + a. 3*a**2 - 3*a Collect the terms in 5*q + 49 + 62 - 159 + 48. 5*q Collect the terms in -d + 16 - 13 + 0*d. -d + 3 Collect the terms in -4598 - 3*p**2 + 4598. -3*p**2 Collect the terms in -512 + 1521 - 502 - 11*h**3 - 506. -11*h**3 + 1 Collect the terms in 207 - 5*a - 207 + 0*a. -5*a Collect the terms in v**3 - v**3 - v**3 - 2*v**3. -3*v**3 Collect the terms in 101 - 101 - 3*p**3. -3*p**3 Collect the terms in -4*b**3 + b**3 - 4*b**3 + 4*b**3 + 11*b**2. -3*b**3 + 11*b**2 Collect the terms in -4*j**2 - 8*j**2 + 11*j**2. -j**2 Collect the terms in -620*p**3 - 596*p**3 + 1215*p**3. -p**3 Collect the terms in 3*f + f + f + 0*f. 5*f Collect the terms in m**2 + 34*m - 34*m. m**2 Collect the terms in -16*o + o + 16*o + 0*o. o Collect the terms in 1784*x - 1784*x + 123*x**3. 123*x**3 Collect the terms in y**2 - y**2 + 2*y**2 - 3*y**2 - 2*y**2. -3*y**2 Collect the terms in 2 + 11*z**3 + 10*z**3 - 2. 21*z**3 Collect the terms in -29*k + 10*k + 13*k + 8*k. 2*k Collect the terms in 0 - 34 + 7 - 2*u. -2*u - 27 Collect the terms in 7 - 9 - 7*s + 2. -7*s Collect the terms in -58*n**2 + 85*n**2 - 34*n**2. -7*n**2 Collect the terms in -30*z - 20*z + 46*z. -4*z Collect the terms in 32*o - 2*o + 10*o - o**2. -o**2 + 40*o Collect the terms in 6*m**2 + 16*m - 16*m. 6*m**2 Collect the terms in -45*j**2 + 19*j**2 - 14*j**2. -40*j**2 Collect the terms in -10*c + 6*c + 7*c. 3*c Collect the terms in 468*l + 463*l - 931*l - 2*l**2. -2*l**2 Collect the terms in -3*g**3 + 8*g**3 + g**3 + 8*g**3. 14*g**3 Collect the terms in 0*y**2 - 5*y**2 + 10*y**2. 5*y**2 Collect the terms in 2*s**3 - 8*s + s**3 + 3*s**3 - 2*s**3. 4*s**3 - 8*s Collect the terms in 23*h**2 + 3*h**3 + h + 5*h - 6*h. 3*h**3 + 23*h**2 Collect the terms in -1 - 4*m**3 + 5*m**3 - 5*m**3 - 3. -4*m**3 - 4 Collect the terms in 4*y**2 + 2*y**2 - 4*y**2. 2*y**2 Collect the terms in 316*z**2 - 164*z**2 + 164*z**2. 316*z**2 Collect the terms in 17*w**3 - 11*w**3 + 25*w**3 - 2*w**3. 29*w**3 Collect the terms in 3*w - 112*w**2 - 9*w**2 - 3*w. -121*w**2 Collect the terms in -106 + 3*h - 108 + 214 - h. 2*h Collect the terms in 51*s**2 + 294*s**2 + 312*s**2 - 76*s**2. 581*s**2 Collect the terms in -80*w - 80*w + 221*w - 91*w. -30*w
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from qqiqqiq. Give prob of sequence iqqi. 1/21 What is prob of sequence llm when three letters picked without replacement from {z: 2, b: 9, m: 1, l: 4}? 1/280 What is prob of sequence fhy when three letters picked without replacement from {y: 2, n: 1, h: 7, f: 3, v: 1}? 1/52 Two letters picked without replacement from bblbbllbbaablbllla. What is prob of sequence al? 7/102 Calculate prob of sequence ii when two letters picked without replacement from {k: 1, i: 5, e: 1, y: 4, t: 3, j: 1}. 2/21 Three letters picked without replacement from fhhfhfhffffxhhffffh. Give prob of sequence fxf. 55/2907 Four letters picked without replacement from {p: 5, l: 7, c: 1}. What is prob of sequence pclp? 7/858 Two letters picked without replacement from {h: 7, v: 4, u: 7}. What is prob of sequence hu? 49/306 What is prob of sequence hmk when three letters picked without replacement from {h: 1, o: 1, k: 1, m: 1, e: 1}? 1/60 Two letters picked without replacement from {t: 1, w: 4, d: 1, h: 1, v: 4}. Give prob of sequence ht. 1/110 Three letters picked without replacement from dddyddxdyydyyxd. Give prob of sequence ydd. 4/39 Calculate prob of sequence kccy when four letters picked without replacement from {y: 2, c: 2, t: 1, k: 1, w: 1, m: 1}. 1/420 Calculate prob of sequence sffo when four letters picked without replacement from {n: 11, o: 1, s: 2, f: 2}. 1/10920 What is prob of sequence dd when two letters picked without replacement from {d: 10}? 1 Four letters picked without replacement from {c: 1, r: 4, k: 3, v: 3, l: 6, p: 1}. What is prob of sequence plcl? 1/2448 Three letters picked without replacement from wwbwwhwwwbkbwhbww. What is prob of sequence bwh? 1/51 What is prob of sequence dp when two letters picked without replacement from dpjdp? 1/5 Three letters picked without replacement from {v: 1, a: 1, x: 2, i: 1, b: 2, j: 2}. What is prob of sequence jbx? 1/63 What is prob of sequence yb when two letters picked without replacement from llldyleebyebieel? 1/60 Three letters picked without replacement from {f: 2, o: 1, w: 1, e: 1}. What is prob of sequence wff? 1/30 What is prob of sequence mm when two letters picked without replacement from {m: 7, b: 1}? 3/4 Two letters picked without replacement from koz. Give prob of sequence zo. 1/6 What is prob of sequence afxx when four letters picked without replacement from {b: 1, f: 1, x: 2, a: 3, l: 5, p: 3}? 1/5460 What is prob of sequence rs when two letters picked without replacement from {r: 1, h: 3, o: 3, j: 2, s: 1}? 1/90 Calculate prob of sequence yyee when four letters picked without replacement from {y: 14, e: 5}. 455/11628 Calculate prob of sequence hbq when three letters picked without replacement from qkxqbbxhqxvxx. 1/286 Four letters picked without replacement from {o: 13, q: 6}. What is prob of sequence oqoq? 65/1292 What is prob of sequence rfr when three letters picked without replacement from vvpfprmr? 1/168 Two letters picked without replacement from iggsgggrrrrrgrgrg. Give prob of sequence ri. 7/272 Calculate prob of sequence hhr when three letters picked without replacement from {h: 2, n: 6, i: 5, d: 3, r: 1}. 1/2040 Calculate prob of sequence je when two letters picked without replacement from {e: 2, q: 3, c: 2, t: 4, j: 1}. 1/66 What is prob of sequence ov when two letters picked without replacement from cuovvoocqovvvkqqc? 5/68 What is prob of sequence qqj when three letters picked without replacement from qqoqqotqojott? 5/429 What is prob of sequence xf when two letters picked without replacement from rrererxxrrqeexrrrfq? 1/114 Two letters picked without replacement from {w: 3, c: 13, a: 1}. What is prob of sequence cc? 39/68 Two letters picked without replacement from hhmhhhhhhehhhh. What is prob of sequence ee? 0 Two letters picked without replacement from oooommoroorommmomo. Give prob of sequence rr. 1/153 Calculate prob of sequence jgh when three letters picked without replacement from {d: 1, g: 1, j: 2, h: 1}. 1/30 Three letters picked without replacement from {m: 9, w: 10}. What is prob of sequence www? 40/323 Three letters picked without replacement from {a: 1, k: 4, f: 9}. What is prob of sequence fkf? 12/91 Two letters picked without replacement from vslslss. What is prob of sequence vl? 1/21 Two letters picked without replacement from {j: 1, k: 9, t: 2, v: 4, i: 4}. Give prob of sequence vi. 4/95 Two letters picked without replacement from {t: 3, q: 2, j: 7, x: 3, z: 3}. What is prob of sequence zt? 1/34 Calculate prob of sequence by when two letters picked without replacement from {m: 2, o: 1, b: 1, q: 1, i: 1, y: 1}. 1/42 Calculate prob of sequence kk when two letters picked without replacement from xkkxkkkkxkk. 28/55 Calculate prob of sequence dtcm when four letters picked without replacement from mcmtlrdcrcmtt. 9/5720 Two letters picked without replacement from uggwuwowudg. What is prob of sequence gg? 3/55 What is prob of sequence ppx when three letters picked without replacement from xpxxpxxpxpppxpxx? 9/80 What is prob of sequence rps when three letters picked without replacement from eteppsesesreseestsp? 1/323 Two letters picked without replacement from {j: 3, z: 13, r: 1, p: 2}. Give prob of sequence pj. 1/57 Three letters picked without replacement from wwawwwwwawwawwawawww. Give prob of sequence aaw. 5/114 Calculate prob of sequence ss when two letters picked without replacement from {s: 2, y: 5}. 1/21 Four letters picked without replacement from ukukuukuuukuukouukk. What is prob of sequence okku? 77/15504 What is prob of sequence thr when three letters picked without replacement from attthhttr? 5/252 Calculate prob of sequence fmff when four letters picked without replacement from {f: 3, m: 1, q: 2, i: 1}. 1/140 What is prob of sequence nt when two letters picked without replacement from {r: 2, f: 2, d: 10, n: 3, t: 3}? 9/380 Two letters picked without replacement from {y: 1, t: 4, x: 1, z: 3, l: 2}. What is prob of sequence xy? 1/110 Three letters picked without replacement from {n: 2, p: 4, l: 1, q: 6}. What is prob of sequence npq? 4/143 Two letters picked without replacement from kjkjkkjjjkkkkkkk. What is prob of sequence kj? 11/48 Two letters picked without replacement from offoftffooffoffoffo. What is prob of sequence ot? 7/342 Calculate prob of sequence jdj when three letters picked without replacement from {b: 1, j: 3, s: 1, g: 2, d: 3}. 1/40 Three letters picked without replacement from {l: 3}. Give prob of sequence lll. 1 What is prob of sequence iaia when four letters picked without replacement from aiaiiaiaiaaaii? 21/286 Four letters picked without replacement from mmmmmommmmmmmmmmml. Give prob of sequence lolm. 0 Three letters picked without replacement from {o: 1, m: 1, k: 1, i: 2, b: 1, z: 1}. What is prob of sequence zmz? 0 Two letters picked without replacement from {n: 3, e: 2, m: 7}. What is prob of sequence me? 7/66 Calculate prob of sequence pcy when three letters picked without replacement from crypppu. 1/70 Two letters picked without replacement from {r: 4, j: 6, l: 7}. Give prob of sequence jl. 21/136 Two letters picked without replacement from rriiiiiiiiii. What is prob of sequence ii? 15/22 Calculate prob of sequence gmgm when four letters picked without replacement from {p: 10, g: 2, m: 4}. 1/1820 Three letters picked without replacement from {c: 2, k: 6, n: 1, m: 1, h: 3}. What is prob of sequence hnc? 1/286 What is prob of sequence xxw when three letters picked without replacement from {w: 3, x: 5, j: 1}? 5/42 Calculate prob of sequence ccwc when four letters picked without replacement from {c: 4, w: 2}. 2/15 What is prob of sequence yy when two letters picked without replacement from {f: 9, y: 2, o: 6}? 1/136 Two letters picked without replacement from {x: 1, g: 11}. Give prob of sequence xg. 1/12 Two letters picked without replacement from rqrqkor. Give prob of sequence qk. 1/21 Three letters picked without replacement from zolqql. Give prob of sequence lqo. 1/30 Three letters picked without replacement from pnpnuuunnpe. Give prob of sequence eun. 2/165 Calculate prob of sequence qqt when three letters picked without replacement from {e: 3, t: 3, q: 2}. 1/56 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
factors of 2708? 2, 677 What are the prime factors of 1520? 2, 5, 19 What are the prime factors of 78048? 2, 3, 271 List the prime factors of 6981. 3, 13, 179 What are the prime factors of 838? 2, 419 List the prime factors of 2153. 2153 List the prime factors of 1632. 2, 3, 17 What are the prime factors of 8437? 11, 13, 59 What are the prime factors of 369? 3, 41 List the prime factors of 2241. 3, 83 What are the prime factors of 4487? 7, 641 List the prime factors of 8327. 11, 757 What are the prime factors of 578? 2, 17 What are the prime factors of 7484? 2, 1871 What are the prime factors of 66558? 2, 3, 11093 What are the prime factors of 16007? 16007 List the prime factors of 3684. 2, 3, 307 What are the prime factors of 3075? 3, 5, 41 List the prime factors of 7859. 29, 271 What are the prime factors of 242? 2, 11 List the prime factors of 1202. 2, 601 What are the prime factors of 23053? 23053 What are the prime factors of 744? 2, 3, 31 What are the prime factors of 8620? 2, 5, 431 What are the prime factors of 2840? 2, 5, 71 What are the prime factors of 31970? 2, 5, 23, 139 What are the prime factors of 1100? 2, 5, 11 List the prime factors of 25005. 3, 5, 1667 List the prime factors of 1123. 1123 What are the prime factors of 3207? 3, 1069 What are the prime factors of 17873? 61, 293 What are the prime factors of 1526? 2, 7, 109 List the prime factors of 24626. 2, 7, 1759 What are the prime factors of 25568? 2, 17, 47 What are the prime factors of 3482? 2, 1741 List the prime factors of 47986. 2, 23993 List the prime factors of 1011. 3, 337 List the prime factors of 37771. 107, 353 What are the prime factors of 2004? 2, 3, 167 What are the prime factors of 17118? 2, 3, 317 What are the prime factors of 20757? 3, 11, 17, 37 What are the prime factors of 6572? 2, 31, 53 List the prime factors of 741. 3, 13, 19 What are the prime factors of 1715? 5, 7 What are the prime factors of 5986? 2, 41, 73 What are the prime factors of 115816? 2, 31, 467 List the prime factors of 36241. 36241 What are the prime factors of 540? 2, 3, 5 List the prime factors of 1008. 2, 3, 7 List the prime factors of 7439. 43, 173 List the prime factors of 1766. 2, 883 List the prime factors of 20708. 2, 31, 167 What are the prime factors of 4998? 2, 3, 7, 17 List the prime factors of 30128. 2, 7, 269 List the prime factors of 1329. 3, 443 What are the prime factors of 419? 419 What are the prime factors of 34578? 2, 3, 17, 113 List the prime factors of 422. 2, 211 What are the prime factors of 9113? 13, 701 What are the prime factors of 4032? 2, 3, 7 What are the prime factors of 13182? 2, 3, 13 List the prime factors of 21664. 2, 677 What are the prime factors of 50475? 3, 5, 673 What are the prime factors of 11665? 5, 2333 What are the prime factors of 4510? 2, 5, 11, 41 List the prime factors of 7576. 2, 947 What are the prime factors of 109083? 3, 13, 2797 List the prime factors of 141373. 109, 1297 List the prime factors of 7216. 2, 11, 41 List the prime factors of 1241. 17, 73 What are the prime factors of 7055? 5, 17, 83 List the prime factors of 2992. 2, 11, 17 What are the prime factors of 34936? 2, 11, 397 What are the prime factors of 2291? 29, 79 What are the prime factors of 134088? 2, 3, 37, 151 List the prime factors of 10770. 2, 3, 5, 359 List the prime factors of 2. 2 What are the prime factors of 5411? 7, 773 List the prime factors of 776. 2, 97 What are the prime factors of 2018? 2, 1009 List the prime factors of 335. 5, 67 List the prime factors of 1925. 5, 7, 11 What are the prime factors of 88993? 88993 What are the prime factors of 15963? 3, 17, 313 List the prime factors of 917. 7, 131 What are the prime factors of 1807? 13, 139 List the prime factors of 36784. 2, 11, 19 List the prime factors of 22693. 11, 2063 List the prime factors of 81476. 2, 20369 What are the prime factors of 25638? 2, 3, 4273 List the prime factors of 864. 2, 3 List the prime factors of 4830. 2, 3, 5, 7, 23 List the prime factors of 1151. 1151 List the prime factors of 366. 2, 3, 61 What are the prime factors of 1601? 1601 List the prime factors of 55. 5, 11 List the prime factors of 12834. 2, 3, 23, 31 What are the prime factors of 36439? 13, 2803 What are the prime factors of 1255? 5, 251 List the prime factors of 1722. 2, 3, 7, 41 List the prime factors of 15563. 79, 197 What are the prime factors of 416? 2, 13 What are the prime factors of 904? 2, 113 What are the prime factors of 957? 3, 11, 29 What are the prime factors of 40970? 2, 5, 17, 241 List the prime factors of 72459. 3, 83, 97 List the prime factors of 2337. 3, 19, 41 List the prime factors of 5045. 5, 1009 What are the prime factors of 102516? 2, 3, 8543 List the prime factors of 3024. 2, 3, 7 What are the prime factors of 19607? 7, 2801 What are the prime factors of 8908? 2, 17, 131 List the prime factors of 65385. 3, 5, 1453 What are the prime factors of 14154? 2, 3, 7, 337 List the prime factors of 5975. 5, 239 List the prime factors of 8067. 3, 2689 What are the prime factors of 993? 3, 331 List the prime factors of 4763. 11, 433 List the prime factors of 752. 2, 47 What are the prime factors of 12419? 11, 1129 What are the prime factors of 54192? 2, 3, 1129 What are the prime factors of 976? 2, 61 What are the prime factors of 117896? 2, 14737 List the prime factors of 75583. 75583 List the prime factors of 50777. 50777 What are the prime factors of 1834? 2, 7, 131 What are the prime factors of 10959? 3, 13, 281 List the prime factors of 2102. 2, 1051 What are the prime factors of 3774? 2, 3, 17, 37 What are the prime factors of 24689? 7, 3527 List the prime factors of 6040. 2, 5, 151 What are the prime factors of 6569? 6569 What are the prime factors of 305? 5, 61 List the prime factors of 2876. 2, 719 List the prime factors of 1578. 2, 3, 263 What are the prime factors of 2951? 13, 227 List the prime factors of 2552. 2, 11, 29 What are the prime factors of 23456? 2, 733 List the prime factors of 155289. 3, 37, 1399 What are the prime factors of 1816? 2, 227 What are the prime factors of 13912? 2, 37, 47 List the prime factors of 116367. 3, 79, 491 What are the prime factors of 33427? 33427 List the prime factors of 26522. 2, 89, 149 What are the prime factors of 5999? 7, 857 List the prime factors of 87899. 7, 29, 433 What are the prime factors of 25175? 5, 19, 53 What are the prime factors of 18023? 67, 269 List the prime factors of 551. 19, 29 List the prime factors of 47315. 5, 9463 List the prime factors of 72862. 2, 17, 2143 What are the prime factors of 1805? 5, 19 What are the prime factors of 4114? 2, 11, 17 List the prime factors of 80532. 2, 3, 2237 List the prime factors of 9563. 73, 131 List the prime factors of 68293. 31, 2203 What are the prime factors of 21096? 2, 3, 293 List the prime factors of 1663. 1663 What are the prime factors of 4146? 2, 3, 691 What are the prime factors of 82? 2, 41 List the prime factors of 5376. 2, 3, 7 List the prime factors of 133. 7, 19 List the prime factors of 4380. 2, 3, 5, 73 List the prime factors of 103725. 3, 5, 461 What are the prime factors of 708? 2, 3, 59 List the prime factors of 1622. 2, 811 List the prime factors of 2372. 2, 593 List the prime factors of 1543. 1543 List the prime factors of 6580. 2, 5, 7, 47 What are the prime factors of 1131? 3, 13, 29 List the prime factors of 232. 2, 29 List the prime factors of 41442. 2, 3, 6907 What are the prime factors of 12192? 2, 3, 127 What are the prime factors of 26190? 2, 3, 5, 97 List the prime factors of 55522. 2, 17, 23, 71 List the prime factors of 2039. 2039 List the prime factors of 195705. 3, 5, 4349 What are the prime factors of 907? 907 List the prime factors of 13227. 3, 4409 List the prime factors of 271. 271 What are the prime factors of 712? 2, 89 List the prime factors of 902. 2, 11, 41 List the prime factors of 14799. 3, 4933 List the prime factors of 274. 2, 137 List the prime factors of 934. 2, 467 What are the prime factors of 35174? 2, 43, 409 What are the prime factors of 24086? 2, 12043 What are the prime factors of 10426? 2, 13, 401 List the prime factors of 830. 2, 5, 83 What are the prime factors of 104327? 104327 What are the prime factors of 636? 2, 3, 53
{ "pile_set_name": "DM Mathematics" }
- 4*h - 2. Let f be n(-3). Let v be 4 + 23 - (0 - f). Solve 2*q + 6 = -d, -2*d + 5*q + v = 2*d for d. 2 Let x(f) = -f + 12. Let c be x(9). Suppose -b + c = -0*b. Solve 3*t - b = -5*j - 5, t + 4*j = -3 for t. 1 Suppose -2*v + 6*a + 14 = 2*a, 0 = 4*v - 2*a - 22. Solve 3*u - 6*u - 5*n + 32 = 0, v*u - 4*n = 4 for u. 4 Let c(t) = 5*t - 2 - 4 + 2 + 1. Let d be c(2). Solve 5*k - d = -2*a - 21, 3*a - 4*k = 2 for a. -2 Let j = -5 - -2. Let s = -1 - j. Solve 4*g = 2*p - 12, 3*p + 2*p = s*g - 10 for g. -5 Let s(n) = 6*n. Let x be s(2). Solve -y - 12 = 3*b, -y - x = 4*y + 3*b for y. 0 Suppose 0 = -2*t - 5*w - 34, -6*w = -5*t - w - 50. Let g be 63/18*t/(-7). Solve -5*y - 4*j - 8 = 0, -y + j - g*j + 11 = 0 for y. -4 Let c = 34 - 31. Solve -6 = -2*v, -j - 2 = -v - c for j. 4 Suppose y - 4*m = -11, 4*y + 4*m - 21 = 3*y. Solve f + y*w - 23 = -0*f, 0 = -4*f + 3*w for f. 3 Suppose 0*s + 4*s - 32 = 0. Solve 3 = -3*o, a - 3*o = -0*o + s for a. 5 Suppose c + c = 8. Solve -3*k - 9 = g, -g - c = 3*g + 4*k for g. 3 Suppose -5*y + 2*n = 19 + 8, -2*y - 4*n = 30. Let s = -2 - y. Solve s*l - v = -22, l + 4*v + 12 = -4*l for l. -4 Suppose -w - c = -8, 3*w + 9 - 31 = -c. Let a(y) = y**3 - 6*y**2 - 7*y + 4. Let d be a(w). Solve -1 + 0 = 3*b + 5*j, -d*b - 4 = 4*j for b. -2 Suppose -2*o + 5*u = 4, -5*u + 16 = 2*o - 0*u. Solve 4*g - 2*a + 4 = o*g, 0 = -5*a + 20 for g. 4 Let n = 9 - 2. Let l(c) = c**2 + 14*c - 7. Let r be l(-14). Let d = r + n. Solve d*a - 4*x = a + 9, x = 4*a + 19 for a. -5 Suppose 4*m - 56 = 3*m. Let l = 85 - m. Solve -3*o - l = -5*q, -q + 2*o - 7*o - 11 = 0 for q. 4 Suppose 2*h - 5*h = -54. Suppose -2*f - 12 = 2*m - 0*m, 4*f + h = 2*m. Let n = 2 + m. Solve -5*w = 2*q - 5 - n, 0 = 4*q - 2*w + 12 for q. -2 Suppose 5*h - 3*g = 4 - 0, 0 = -3*h + 3*g. Solve c = 2*v + h*c - 15, -10 = -2*c for v. 5 Let u be (-6)/12 + 26/(-4). Let k be u/(-2) + (-2)/4. Solve 2*w = -k*a - 6, -3*a - 7*w + 2*w - 6 = 0 for a. -2 Suppose -4*l = -8 - 0, 2*z - 20 = 2*l. Solve g + 17 = -5*m + 2*g, -2*m - z = -3*g for m. -3 Let i = 8 - 8. Suppose i = -0*m - 2*m + 2*z + 6, 12 = m - 4*z. Solve m = 4*l - 16 - 4, 0 = -3*a + 4*l - 32 for a. -4 Let i be (-4)/(-1 - (-3)/(-3)). Suppose -f - 5 = -i*f. Solve 3*p = 3*x - 21, -f*x + 5*p + 26 = -3*x for x. 3 Let k be 2 + 4/(0 - -4). Solve -k*o + 0*l = -4*l + 8, 2*l = o + 2 for o. -4 Suppose 0 = -4*n - 3*c + 5, -3 = -4*n - 0*c - 5*c. Solve -2*s + 4 = -2*v - n, -v - s = 3 for v. -3 Let f = -5 - -4. Let z be (-3 + (-6)/(-3))*f. Let x be 6*z - 1 - 1. Solve g + 3*g = h - 18, -12 = -4*h + x*g for h. -2 Suppose 2 = -4*m - 2*l, -m - 2*l = -4*l - 12. Suppose -5*t = m*b, -5*t - 20 = -4*b + 10. Let v = 19 + -9. Solve 4*w - 4*j = w - v, 5*w + 15 = b*j for w. -2 Let y = -1 - -5. Suppose f + 7 = 4*p, -4*p + 0*p = -3*f + 3. Solve -3*b - y*l - 6 = 0, b + p*l = -6 - 1 for b. 2 Let k be 9/(-6)*(-4 - -2). Solve 2*o + 12 = d, 5*d - k*d = -5*o - 12 for o. -4 Suppose -5*h - 1 + 11 = 0. Solve 0 = 3*u + 2*o - 7, o = -h*u + 2 + 1 for u. -1 Suppose 2*b - 4 = -2*o, -3*o - b + 6 = -o. Suppose 0 = 3*q + o*f - 5*f - 7, -4*f + 40 = 5*q. Let l = q - 2. Solve 2*s - 2*a - 3 = 3*a, -s + 3*a = -l for s. -1 Let f be 6/(-12) + 10/4. Solve -5*w - 6 = -2*w, f*b + 4*w = 0 for b. 4 Let d(u) = 0 + 0*u**2 + 16 - 13*u + u**2 + 0*u. Let t be d(14). Solve 4*c + c = -5*k + t, 5*c = -2*k + 24 for c. 4 Let s = -10 - -9. Let r be (4 - -2)*(s - 1). Let v be -6*(-2 - r/9). Solve 0 = 4*g - 5*f + 10, -4 = v*g - 2*f for g. 0 Suppose 2*f + g - 13 = -f, 17 = -f + 5*g. Solve 2*j = f*n + 11, -j = -3*j - 4*n - 10 for j. 1 Let c(t) = -t**3 + 3*t**2 + 6*t - 6. Let w be c(4). Let o = 2 + -5. Let b(k) = k**2 - k - 7. Let v be b(o). Solve 0 = -w*l + v*d + 24, -1 = 5*l + 3*d + 1 for l. 2 Let n be (-1 + (-8)/(-2))*6. Solve 4*o - n = -2*k, -4*k = o + o - 18 for k. 3 Let y(j) = -j**2 - 7*j - 5. Let o(g) = -g**2 - g - 1. Let t = -9 - -6. Let w(q) = t*o(q) + y(q). Let s be w(4). Solve -2*h = 3*d - s, 3 = 5*d + h - 11 for d. 2 Let c = -3 + 8. Solve -i - 2*d = 4, -8 = -c*i - 4*d + 8*d for i. 0 Suppose 0 = -z - 4*b - 2, 0*z - 2*b + 8 = 5*z. Let v be 4 + 1 + (-4)/z. Solve u - v*m = -23 + 6, u = -5*m + 15 for u. -5 Let l be -1 + 2 + (0 - 0). Let d(h) = h**3 + 1. Let z be d(-1). Let w be 1 + l + z/(-3). Solve -w*p + 5*m - 12 = m, 2*p - m + 6 = 0 for p. -2 Let l be 6/2*28/12. Suppose -4*i - 4*t = t + l, -i + 2*t = -8. Solve -8 = 2*k + i*n, 7*k - n - 2 = 6*k for k. -1 Suppose 0 = 3*x + 9 + 24. Let s = -7 - x. Solve -s*f - k + 6 = 0, 3*k - 4*k = -3*f + 1 for f. 1 Let k be 6/5*10/6. Solve -4*l = -5*m + k, 0 = -2*l - 4*m - 13 - 1 for l. -3 Let t(x) = x**3 + 5*x**2 - 6*x. Let w be t(-6). Suppose 4*z + 3*v - 19 = 0, w = -5*z + 4*v + 16. Solve -5*q + 7 = r - q, -3*r - 27 = -z*q for r. -5 Let t = 11 - 7. Solve 0 = -2*q + t, q = 2*p - 0*q - 2 for p. 2 Suppose -10 = -2*m - 3*n, 4*n + 2 = m - 3. Solve 3*r = m*y + 14, -4*r - 12 = 6*y - 5*y for y. -4 Suppose 0 = -2*y + 4*y. Solve -o + 3*w + 1 = -y*o, 0 = -5*o - w - 27 for o. -5 Let d(f) = 3*f - 4*f - 4*f + 4*f. Let i be d(-2). Solve i*g + 3*k = g + 15, 4*k = 20 for g. 0 Suppose 4*z = j - 9, 0 = 5*j + 4*z + z - 20. Solve u = 4*p - 17, 3*p + 0*u = -j*u + 30 for p. 5 Suppose g - 2*f - 2 = -7*f, 0 = -3*g - 5*f + 6. Solve -5*x + 3*k - 2 = 0, 0*k = g*x - k for x. 2 Suppose -1 + 9 = 4*o. Let d be (0 + 3)*(-12)/(-9). Solve -d*g = 4*m, 2*g - o*m + 3 = 3*g for g. -3 Suppose 0 = -12*j + 7*j - 205. Let o = -23 - j. Solve 7 = b + 5*a - o, b - 4*a = -11 for b. 5 Let v(a) = a**2 - 2*a - 4. Let u(z) = z**3 - z + 4. Let n be u(0). Let f be v(n). Solve -2*k = -3*k + 3*r - 5, f*k + 5*r = 14 for k. 1 Suppose 0 = -4*j + 5*o - 20, -2*o - 4 = 5*j - 3*o. Solve 5*w = 2*w - 6, -5*g - 3*w - 31 = j for g. -5 Suppose 0 = -0*y - 4*y - 2*b + 2, 5*y + 5*b = -10. Solve -f = 2*v - y + 4, -5*v - 35 = -4*f for f. 5 Let v = -91 - -96. Solve -5*a + 0*j - 8 = 4*j, v*j - 19 = a for a. -4 Let w be (-12)/(2 - -2)*-1. Solve 0 = -2*f + f + 2, -w*f = -4*k + 10 for k. 4 Let y(k) = -k - 4. Let c be y(-8). Solve 0 = -2*f - c*h - h - 6, -4*f - 12 = -3*h for f. -3 Suppose -f = 4*n - 24, 3*n + 3*f = -0*f + 27. Solve 3*d + 15 = 3*k + d, 5*k + n*d - 25 = 0 for k. 5 Suppose 5*w - 37 = -12. Solve 3*j = 3*n - 15, 3*n + 0*n - j - w = 0 for n. 0 Let a(c) = 2*c**2 - c + 1. Suppose o + 2*g - 1 = 0, -g = 3*o - 2 - 1. Let i be a(o). Solve -3*p - p + 2*y = -14, 0 = -2*y - i for p. 3 Let s(o) = o + 17. Let f be s(-10). Solve -f = -5*t + 3*q, -4*q = -3*q + 4 for t. -1 Let q(u) = u**2. Let n(x) = -3*x**2 - x - 1. Let y(l) = -n(l) - 4*q(l). Let b be y(3). Let i = -3 - b. Solve 4*j = i*j - d - 1, -j + 7 = 3*d for j. -2 Let l be 114/8 - (-105)/140. Solve 0 = -5*w + 5*y + l, 7*w + 5*y = 2*w + 35 for w. 5 Let l(k) = k - 3. Let b = 7 + -1. Let s be l(b). Solve 2*d - s*p - 17 = 0, 3*d + 2*p + 2 = -5 for d. 1 Suppose 7*u - 2*u = 10. Solve 0 = -3*w - 5*c - 23, 3*w - u*c - 2 = 3 for w. -1 Let w(x) = -x + 6*x**2 + 11*x**2 - 5*x**2. Let r be w(-1). Let q = -17 + 26. Solve -j - p = -3*j + r, -j = -p - q for j. 4 Suppose -1 = 13*f - 40. Solve 2*q + 3 = f*y + 19, -2*q - 5*y = 0 for q. 5 Suppose 20 = 5*k - 0. Solve s + k*z - 12 = 0, 0*z - 4 = -2*s - 3*z for s. -4 Suppose 4*x + h = 8*x - 23, -h - 3 = 0. Let n be ((-16)/((-6)/(-3)))/(-2). Let j be 58/6 - 4/6. Solve x*i = u - 8, j*u - 4*i - 19 = n*u for u. 3 Let d(r) = -r**3 - 2*r**2 - r + 2. Let v = 8 + -6. Let o be d(v). Let s be (9/(-6))/(6/o). Solve u - j = -3*j - s, 2*j = -3*u for u. 2 Let g = -5 + 0. Let n = -3 - g. Let v be (n/3)/((-2)/(-15)). Solve 0 = v*k + 4*a - a - 1, 0 = 3*k - 2*a - 12 for k. 2 Suppose -5*g + 10 = -0*g. Let m(l) = -l**2 - l**g - 2*l + 9*l**2 - 1. Let r be m(-1). Solve -5*h + 26 = -2*j, 2*h - r = -0*h for j. -3 Suppose 4*l - 11 = 5. Let z = 8 - -2. Solve -l*c - 3*j = 11, 2*j = 5*c + 7*j + z for c. -5 Suppose -2*p + 3*b - 134 = 0, 138 = -2*p + b - 0*b. Let u be ((-40)/p)/(2/7). Solve -4*l - o = 3*o + 8, 4 = l - u*o for l. 0 Suppose -4*u + u = 0. Solve u = 4*p + g - 13, -3*p + g + 1 = -0 for p. 2 Let a be (3 + 3)/((-6)/(-2)). Solve -4*r - 5*i + 35 = -6*r, -a*r = 5*i - 15 for r. -5 Suppose 9*y = 12*y - 12. Solve -2*j + 4*z = 7*z + 10, 0 = j + y*z + 10 for j. -2 Let r(o) = o**3 - 25*o**2 + 23*o + 26. Let a be r(24). Solve c - a = 3*h - 10, 3*h - 2*c - 13 = 0 for h. 1 Let y = -33 - -38. Solve 2*t = 4*
{ "pile_set_name": "DM Mathematics" }
hen 728193 is divided by 837. 3 Calculate the remainder when 1843905 is divided by 1746. 129 Calculate the remainder when 17817627 is divided by 17817622. 5 What is the remainder when 117749 is divided by 3716? 2553 Calculate the remainder when 227931658 is divided by 4. 2 Calculate the remainder when 3485387 is divided by 3482. 3387 Calculate the remainder when 8682963 is divided by 65780. 3 Calculate the remainder when 3207275 is divided by 384. 107 What is the remainder when 1626404 is divided by 16? 4 What is the remainder when 5473458 is divided by 412? 38 What is the remainder when 45225 is divided by 1677? 1623 What is the remainder when 17188658 is divided by 543? 536 Calculate the remainder when 4694038 is divided by 1770. 1768 What is the remainder when 2054346 is divided by 3287? 3258 Calculate the remainder when 31275214 is divided by 12. 10 What is the remainder when 9862247 is divided by 19? 12 Calculate the remainder when 239775 is divided by 5115. 4485 Calculate the remainder when 1098343 is divided by 414. 1 What is the remainder when 805219 is divided by 161? 58 Calculate the remainder when 687369 is divided by 5328. 57 What is the remainder when 28564840 is divided by 1503411? 31 What is the remainder when 36444 is divided by 1931? 1686 Calculate the remainder when 851499 is divided by 212829. 183 Calculate the remainder when 363272 is divided by 2952. 176 Calculate the remainder when 755711 is divided by 385. 341 Calculate the remainder when 44702142 is divided by 27. 24 What is the remainder when 1715463 is divided by 428834? 127 What is the remainder when 5589375 is divided by 70? 15 Calculate the remainder when 118067 is divided by 105. 47 What is the remainder when 5225270 is divided by 2304? 2102 Calculate the remainder when 1363665 is divided by 805. 800 What is the remainder when 1151516 is divided by 201? 188 Calculate the remainder when 3526182 is divided by 31. 25 What is the remainder when 700845 is divided by 233596? 57 What is the remainder when 14284381 is divided by 60527? 9 Calculate the remainder when 22804968 is divided by 1200260. 28 Calculate the remainder when 6130193 is divided by 1226006. 163 What is the remainder when 495537 is divided by 7079? 7 Calculate the remainder when 150092 is divided by 774. 710 Calculate the remainder when 1651150 is divided by 412354. 1734 What is the remainder when 1096485 is divided by 595? 495 What is the remainder when 1053616 is divided by 525903? 1810 Calculate the remainder when 8983754 is divided by 15. 14 What is the remainder when 1467371 is divided by 69874? 17 What is the remainder when 26798082 is divided by 834? 828 What is the remainder when 1253423 is divided by 25580? 3 Calculate the remainder when 4659038 is divided by 27. 26 Calculate the remainder when 77300795 is divided by 40. 35 Calculate the remainder when 177461 is divided by 5217. 83 Calculate the remainder when 70486 is divided by 34940. 606 Calculate the remainder when 450623157 is divided by 15. 12 What is the remainder when 2334183 is divided by 2966? 2907 What is the remainder when 1417344 is divided by 88569? 240 Calculate the remainder when 520219 is divided by 43286. 787 Calculate the remainder when 1055871 is divided by 5175. 171 What is the remainder when 7640439 is divided by 2223? 2211 What is the remainder when 214047 is divided by 191? 127 What is the remainder when 139693977 is divided by 15? 12 Calculate the remainder when 364451 is divided by 19140. 791 Calculate the remainder when 5568190 is divided by 1051. 1043 What is the remainder when 5739872 is divided by 59? 57 What is the remainder when 5161335 is divided by 117? 114 What is the remainder when 791462 is divided by 369? 326 Calculate the remainder when 682264 is divided by 68213. 134 Calculate the remainder when 26153040 is divided by 637879. 1 What is the remainder when 58166 is divided by 57062? 1104 Calculate the remainder when 4565748 is divided by 71339. 52 Calculate the remainder when 3921487 is divided by 206392. 39 Calculate the remainder when 7403887 is divided by 20974. 65 Calculate the remainder when 3025426 is divided by 17. 4 Calculate the remainder when 57794206 is divided by 10. 6 What is the remainder when 22280574 is divided by 691? 661 What is the remainder when 246111391 is divided by 50? 41 Calculate the remainder when 383112 is divided by 31903. 276 Calculate the remainder when 4265662 is divided by 193888. 126 What is the remainder when 4124915 is divided by 242642? 1 Calculate the remainder when 5453663 is divided by 2726829. 5 What is the remainder when 4762491 is divided by 5525? 5466 What is the remainder when 20617 is divided by 8883? 2851 What is the remainder when 328373 is divided by 1943? 6 Calculate the remainder when 14030858 is divided by 2716. 2 What is the remainder when 1209332 is divided by 14? 12 What is the remainder when 933208 is divided by 466599? 10 Calculate the remainder when 10162421 is divided by 13478. 9 Calculate the remainder when 24073448 is divided by 44498. 30 What is the remainder when 12479742 is divided by 111426? 30 Calculate the remainder when 24291425 is divided by 12. 5 What is the remainder when 157330 is divided by 21? 19 Calculate the remainder when 41893302 is divided by 79. 76 Calculate the remainder when 144577 is divided by 5403. 4099 What is the remainder when 4254523 is divided by 850903? 8 Calculate the remainder when 598701 is divided by 149514. 645 What is the remainder when 588949 is divided by 8? 5 What is the remainder when 538725 is divided by 107684? 305 Calculate the remainder when 88715 is divided by 29113. 1376 What is the remainder when 323644 is divided by 4903? 46 Calculate the remainder when 221155 is divided by 34. 19 What is the remainder when 1365990 is divided by 50592? 6 Calculate the remainder when 12142858 is divided by 97. 10 What is the remainder when 6757683 is divided by 3324? 3315 Calculate the remainder when 101185257 is divided by 87. 81 What is the remainder when 62908696 is divided by 15850? 46 What is the remainder when 59923 is divided by 1222? 45 What is the remainder when 1949944 is divided by 8193? 10 Calculate the remainder when 13628 is divided by 569. 541 What is the remainder when 3084176 is divided by 616788? 236 Calculate the remainder when 6535333 is divided by 16. 5 What is the remainder when 1512445 is divided by 26529? 292 What is the remainder when 18142 is divided by 1060? 122 What is the remainder when 751213 is divided by 32636? 585 Calculate the remainder when 324076 is divided by 2818. 6 What is the remainder when 64969 is divided by 178? 177 What is the remainder when 114652 is divided by 874? 158 What is the remainder when 475477069 is divided by 1858? 5 What is the remainder when 253157 is divided by 61? 7 Calculate the remainder when 38430975 is divided by 17. 10 What is the remainder when 7178676 is divided by 9? 6 Calculate the remainder when 2460091 is divided by 4. 3 Calculate the remainder when 11739053 is divided by 7. 4 Calculate the remainder when 699434981 is divided by 13. 11 Calculate the remainder when 5648944 is divided by 100874. 0 What is the remainder when 53380755 is divided by 85? 75 What is the remainder when 1822683 is divided by 55222? 357 What is the remainder when 1452846 is divided by 1316? 1298 What is the remainder when 96138524 is divided by 20? 4 What is the remainder when 152674 is divided by 25434? 70 Calculate the remainder when 10561 is divided by 4529. 1503 Calculate the remainder when 17285189 is divided by 110. 9 What is the remainder when 160070 is divided by 90? 50 What is the remainder when 3639971 is divided by 4323? 5 What is the remainder when 55274 is divided by 30? 14 What is the remainder when 2920431 is divided by 479? 447 Calculate the remainder when 4934 is divided by 617. 615 Calculate the remainder when 362893249 is divided by 51841892. 5 Calculate the remainder when 52912 is divided by 22. 2 Calculate the remainder when 154323559 is divided by 1978. 1977 Calculate the remainder when 128452 is divided by 1074. 646 What is the remainder when 950023 is divided by 1443? 529 Calculate the remainder when 18763785 is divided by 19. 12 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from {z: 9, v: 2}. Give prob of sequence vz. 9/55 Two letters picked without replacement from lbpplbpbbpbl. What is prob of sequence bl? 5/44 Calculate prob of sequence fw when two letters picked without replacement from ffffwgfgw. 5/36 Four letters picked without replacement from wacchwhwskwwwwwcwa. Give prob of sequence kwas. 1/4080 Four letters picked without replacement from {l: 3, f: 9, i: 4}. What is prob of sequence lfif? 9/455 Calculate prob of sequence wj when two letters picked without replacement from eeqeweqjoeeqoo. 1/182 Four letters picked without replacement from khhkhkhkkknnkhhh. What is prob of sequence nhkh? 7/520 Calculate prob of sequence xz when two letters picked without replacement from {z: 1, n: 5, x: 3}. 1/24 Calculate prob of sequence bk when two letters picked without replacement from {c: 7, d: 1, f: 3, b: 4, k: 1}. 1/60 Four letters picked without replacement from fffjjffffjfffjjfffj. What is prob of sequence fjjf? 65/1292 Four letters picked without replacement from {v: 4, j: 2, a: 2}. What is prob of sequence ajja? 1/420 Two letters picked without replacement from {o: 2, a: 9, p: 1, j: 2}. What is prob of sequence pa? 9/182 What is prob of sequence mj when two letters picked without replacement from jmmmmjmmmjjmmmmmmjmm? 15/76 Two letters picked without replacement from {e: 1, g: 4, q: 1, s: 9, r: 3}. Give prob of sequence qe. 1/306 Two letters picked without replacement from {z: 2, i: 7, p: 5, t: 3}. What is prob of sequence zi? 7/136 Four letters picked without replacement from ahcaccmawmdhh. Give prob of sequence wcac. 3/2860 What is prob of sequence po when two letters picked without replacement from mmommmmoppomp? 3/52 Calculate prob of sequence ez when two letters picked without replacement from {a: 1, f: 1, e: 1, r: 1, z: 2, s: 1}. 1/21 Four letters picked without replacement from {a: 13, m: 6}. Give prob of sequence mamm. 65/3876 What is prob of sequence vsea when four letters picked without replacement from {e: 1, v: 4, a: 2, n: 7, s: 2, u: 4}? 2/14535 Calculate prob of sequence kppk when four letters picked without replacement from {k: 9, p: 5}. 60/1001 Three letters picked without replacement from {q: 15, z: 4}. Give prob of sequence zzq. 10/323 Calculate prob of sequence knlp when four letters picked without replacement from {l: 4, k: 3, n: 1, p: 2, s: 1, v: 1}. 1/495 Two letters picked without replacement from {x: 4, z: 1, p: 7, f: 2, s: 1}. Give prob of sequence sx. 2/105 Calculate prob of sequence dd when two letters picked without replacement from hhvddrddd. 5/18 Calculate prob of sequence hh when two letters picked without replacement from vvvhhvvvv. 1/36 Two letters picked without replacement from {m: 2, x: 10}. Give prob of sequence xx. 15/22 Two letters picked without replacement from {p: 10, u: 1, j: 8}. What is prob of sequence pj? 40/171 Calculate prob of sequence dyds when four letters picked without replacement from sdldlyillddyyd. 5/2002 What is prob of sequence rx when two letters picked without replacement from {u: 4, q: 2, x: 2, r: 1}? 1/36 Four letters picked without replacement from lllggllglllglllggggg. Give prob of sequence ggll. 22/323 Three letters picked without replacement from yqqwqqyqyttq. Give prob of sequence qqw. 1/44 Four letters picked without replacement from vnovovoqvxvxonqxvv. Give prob of sequence ooxq. 1/1020 Two letters picked without replacement from quuuuuquuuquuuuuuu. What is prob of sequence qu? 5/34 Three letters picked without replacement from keee. What is prob of sequence eee? 1/4 Four letters picked without replacement from ccccccccc. What is prob of sequence cccc? 1 Two letters picked without replacement from {p: 1, x: 2, b: 1, i: 1, r: 2}. Give prob of sequence br. 1/21 Two letters picked without replacement from {s: 2, n: 1, b: 12, u: 3, q: 1}. What is prob of sequence bq? 2/57 Two letters picked without replacement from {x: 4, l: 2, p: 1, m: 4}. Give prob of sequence ml. 4/55 Two letters picked without replacement from {s: 7, c: 4}. What is prob of sequence cc? 6/55 Calculate prob of sequence wzv when three letters picked without replacement from pzpivjwppjjjj. 1/1716 Two letters picked without replacement from vfvvyxyxxvqp. What is prob of sequence yx? 1/22 Three letters picked without replacement from nvqixvbq. What is prob of sequence ixb? 1/336 Calculate prob of sequence zm when two letters picked without replacement from {m: 5, e: 8, z: 5}. 25/306 Three letters picked without replacement from ljjgqljjjjgjggjqjjr. What is prob of sequence rll? 1/2907 Calculate prob of sequence ps when two letters picked without replacement from hfupfsushphh. 1/33 Four letters picked without replacement from {d: 1, l: 1, b: 1, o: 3, s: 1}. Give prob of sequence oboo. 1/140 Calculate prob of sequence yjs when three letters picked without replacement from ysvvyjvjmsymm. 1/143 Three letters picked without replacement from zvzllv. What is prob of sequence zvl? 1/15 What is prob of sequence qnnn when four letters picked without replacement from {u: 3, q: 5, n: 5}? 5/286 Calculate prob of sequence ge when two letters picked without replacement from {l: 3, c: 2, e: 1, g: 6}. 1/22 Three letters picked without replacement from {q: 5, p: 1, d: 1, c: 1, y: 2}. Give prob of sequence pcq. 1/144 Three letters picked without replacement from {f: 2, x: 2, g: 5, t: 3, i: 1, c: 7}. What is prob of sequence xcc? 7/570 Calculate prob of sequence nnn when three letters picked without replacement from ncrrnrrprnriir. 1/364 Four letters picked without replacement from iddd. What is prob of sequence didd? 1/4 What is prob of sequence xy when two letters picked without replacement from {v: 1, y: 2, o: 1, h: 1, x: 2, a: 1}? 1/14 Two letters picked without replacement from {j: 10}. What is prob of sequence jj? 1 Two letters picked without replacement from yykkyyyyy. Give prob of sequence kk. 1/36 Calculate prob of sequence ifp when three letters picked without replacement from fpfaaxjiffii. 1/110 Two letters picked without replacement from {w: 5, s: 2, c: 7, l: 3}. What is prob of sequence lc? 21/272 Calculate prob of sequence st when two letters picked without replacement from ssssltssts. 7/45 What is prob of sequence wmmq when four letters picked without replacement from {m: 2, w: 6, c: 1, q: 2, d: 6}? 1/2380 Calculate prob of sequence tla when three letters picked without replacement from {a: 3, x: 7, t: 2, g: 4, l: 1}. 1/680 Calculate prob of sequence sbuu when four letters picked without replacement from buusbubuubuuuu. 12/1001 Two letters picked without replacement from {a: 2, c: 8, y: 2}. What is prob of sequence ya? 1/33 Two letters picked without replacement from fyfafyyfyffyayfy. Give prob of sequence af. 7/120 Calculate prob of sequence lr when two letters picked without replacement from {r: 1, u: 2, m: 1, l: 2, k: 1, b: 1}. 1/28 Three letters picked without replacement from {i: 2, g: 7, y: 1, o: 4}. What is prob of sequence ogg? 1/13 Calculate prob of sequence du when two letters picked without replacement from {p: 8, g: 2, d: 1, u: 5}. 1/48 Four letters picked without replacement from {n: 7}. What is prob of sequence nnnn? 1 Four letters picked without replacement from eeefeeeefffefeqeff. Give prob of sequence feff. 35/1224 Three letters picked without replacement from nzrnipinpphpni. What is prob of sequence nhi? 1/182 Calculate prob of sequence co when two letters picked without replacement from olwwcci. 1/21 Calculate prob of sequence jiih when four letters picked without replacement from jgiggghhihhig. 1/715 What is prob of sequence vq when two letters picked without replacement from qrvqqovrvovqvvvqqovq? 14/95 Calculate prob of sequence kkh when three letters picked without replacement from kkikhiwkimk. 2/99 Calculate prob of sequence nyy when three letters picked without replacement from xynexcyxyny. 4/165 Three letters picked without replacement from zzzjzzzzzzzzzzz. Give prob of sequence zjz. 1/15 Calculate prob of sequence uuub when four letters picked without replacement from uubuuuuu. 1/8 Three letters picked without replacement from {f: 2, h: 17}. What is prob of sequence hfh? 16/171 Four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
. 5 Suppose -2*k - h = -14 - 13, 4*k - 4*h - 72 = 0. Solve o - k = -4*o for o. 3 Let n be 5 + -7 + 4/1. Let p(r) = 3*r**2 - r**2 + 1 + n - r**2 - 5*r. Let f be p(5). Solve t - f*t = 0 for t. 0 Let l = 21 + -20. Let d = 2 + l. Solve -2*b = -d*b - 3 for b. -3 Let w = -50 + 0. Let c be w/1*(-2)/(-4). Let q be 1/(15/(-6))*c. Solve 0 = 3*i - 8*i + q for i. 2 Let b be 2/4*(4 - -2). Suppose -b*p = -2*p. Solve p = -6*y + 2*y for y. 0 Let o be ((-75)/(-20))/(2/8). Let d = o + -9. Solve 0 = 2*a - d - 0 for a. 3 Let r(t) be the second derivative of t**4/12 - 4*t. Let s be r(0). Let f(i) = i**2 - i - 1. Let b be f(3). Solve s*q = -b*q - 10 for q. -2 Suppose 3*y = -3*n + 6, -n - 3*n + 10 = 3*y. Solve n*d = d - 3 for d. -1 Let k be (-1 - -2) + (1 - 1). Let u be k/(-4) - (-4)/16. Solve -a + 2 + 3 = u for a. 5 Let m(a) = a**2 - 2*a - 7. Let c be m(5). Let b(l) = l**2 - 4*l + 3. Let f be b(2). Let d be ((-2)/6*0)/f. Solve 5*o + c + 17 = d for o. -5 Suppose -3*m - 2*h = -0*m - 9, 4*h = -12. Solve -3*f - 6 = -m*f for f. 3 Let l = -9 - -11. Solve -12 = -2*d - l*d for d. 3 Let x be (-2 + 2)*1*(-2)/6. Solve -3*l - 6 = -x for l. -2 Let k be (335/(-65) - -5) + 28/13. Let c be 2 - 2 - 0/(-1). Solve c = k*t + 2 - 4 for t. 1 Let u = 5 + 1. Let d be (1/(-2))/((-4)/(-40)). Let p = 10 - d. Solve 3*o = u*o - p for o. 5 Suppose 18*g + 20 = 13*g. Suppose 2*t - p = -2*t + 9, 0 = -5*t + 5*p + 15. Let x = t - g. Solve -x = 3*v - 0 for v. -2 Let a(r) = r**2 + 4*r + 2. Let l be a(-5). Solve 4*d - l = 5 for d. 3 Suppose 0 = -4*t + 8*t - 100. Solve -8*z - t = -3*z for z. -5 Let z(c) = c**3 - 8*c**2 + 4. Let q be z(8). Let v be (-2)/1*-1 - -24. Suppose -i + 22 = 4*l - v, -2*l + 42 = 5*i. Solve 0 = q*g - 1 - l for g. 3 Let o = 1 + -5. Let n(h) = 4*h + 1. Let l be n(1). Let g = o + l. Solve -8 - g = 3*x for x. -3 Suppose -12 = -5*i + 2*p, -6*p = -3*i - 2*p - 4. Solve 2*x = -0*x + i for x. 2 Let s be 3*12/9*1. Solve -o + 5*o = -s for o. -1 Suppose -9 = 2*k + 3*p, 3*k - p = -k + 17. Solve -7*n = -k*n for n. 0 Suppose -v + 4*o = -71, -4*v + 5*v - 3*o - 67 = 0. Suppose 0 = -3*s + 3*i + 30, -5*s + 2*i - 8 + v = 0. Solve s = 3*y - 0*y for y. 3 Suppose -6*m = -m - 20. Suppose m*p = 2*p. Solve p*s = 5*s + 20 for s. -4 Let r = -22 - -31. Suppose 4*l + 21 + 3 = 0. Let u be (6/r)/((-2)/l). Solve 0 = -3*z - u + 8 for z. 2 Let v(z) = 5*z**2 - 4*z + 3. Let g be v(2). Let t = g - 8. Suppose 0 = 4*j - 13 - t. Solve j*m + 6 = 2*m for m. -2 Let y(v) = -v + 17. Let z be y(12). Solve 0 = j - 2*j - z for j. -5 Suppose -2*u + 5 + 5 = 0. Let l = 7 - u. Suppose -5*s + 8 = 3*f, -2*s + 16 = -4*f + l*f. Solve 0 = s*a - 2*a + 6 for a. -3 Let p = 34 + -32. Solve r = 3 - p for r. 1 Let k be (2/6)/((-3)/9). Let a = k + 3. Solve a*m + 12 = -2*m for m. -3 Let h = 10 - -13. Let y be h/7 + (-6)/21. Solve 12 = -3*g - y for g. -5 Suppose -5*t = 8 - 33. Solve -5 - 5 = t*u for u. -2 Let k(f) = f**3 + 7*f**2 - 10*f - 16. Let o be k(-8). Solve -4 + o = j for j. -4 Let n(x) = x**2 - 5*x + 2. Let z be n(4). Let c(h) = 2*h**2 + 3*h. Let s be c(z). Solve 0 = 3*w - s - 1 for w. 1 Suppose -4*n = 9 - 25. Solve -m = -n*m + 9 for m. 3 Let f = -24 - -29. Solve 2 = -f*h - 8 for h. -2 Suppose -r = -23 + 3. Suppose -2*m - 1 - 1 = 0. Let n(y) = 6*y**2 + y. Let k be n(m). Solve 0*f + k*f = -r for f. -4 Let j = 26 + -24. Solve -x = j + 2 for x. -4 Suppose -4*x - 1 + 9 = 0. Let c be ((-12)/15)/((-4)/(-10)). Let l = x + c. Solve i + l*i - 2 = 0 for i. 2 Suppose -3*g + 30 = -5*f - 13, 3*g - 31 = -f. Solve 3*o + 4 + g = 0 for o. -5 Suppose r = 5*g + 7, 3*r - 5 = -2*g + 16. Let j(t) = -t**2 + 20*t - 16. Let h be j(19). Solve r*m = h*m + 20 for m. 5 Let m = -8 - -12. Suppose -m*n - 24 = -0*n. Let f = n + 11. Solve -2*k = -3 - f for k. 4 Suppose -6*n = -v - n + 13, 0 = -3*v - 4*n + 1. Solve v*g = -g + 8 for g. 2 Suppose 0*h + 4*h = 8. Suppose -h*y = -0*y. Let v(q) = -q**2 - q + 4. Let p be v(y). Solve g + p = -g for g. -2 Let c(d) = d**2 - 25*d + 26. Let y be c(24). Solve -3 - 7 = y*p for p. -5 Let c(o) = -11*o - 27. Let g be c(-3). Solve -g*k = -2*k - 12 for k. 3 Let f = 211 - 211. Solve 2*w + 11 - 9 = f for w. -1 Suppose 3*p = 3*v, -3 = v - 4*p + 2*p. Suppose v*z - 6 = z. Solve -6 - 9 = z*f for f. -5 Let z be (2/(-4))/((-57)/(-30) + -2). Solve -3*r + z = 17 for r. -4 Suppose -3*k + 2*z = 11, 12 = 3*z - 0*z. Let t be (3 + k + -2)/(-2). Solve 3*f + t*f = 0 for f. 0 Let s be (-6)/3 + (-5)/(-1). Solve -1 = s*a + 5 for a. -2 Let m(g) = 2*g**2 - 38*g + 1. Let n be m(19). Solve 4*p - n = -5 for p. -1 Let f be -4 - (1 + 3 + -8). Solve -7*k + 2*k + 15 = f for k. 3 Let v = 61 - 56. Solve 3*k - v - 4 = 0 for k. 3 Let j(h) = -h**3 + 7*h**2 + 2*h - 9. Let n(y) = 8*y - 1. Let x be n(1). Let c be j(x). Suppose 2*l - l - 5 = 0. Solve -5*o - l = c for o. -2 Let h(b) = -b**2 + 9*b + 24. Let g be h(11). Solve -m = -2*m + g for m. 2 Suppose 2*g = 6*g - 64. Let j = -10 + g. Solve -j + 2 = -4*o for o. 1 Suppose 25*a = 30*a. Solve 2 = o - a for o. 2 Suppose -20 = -5*f + f. Suppose -f*u = -u - 24. Suppose -5*w + q = -w - 64, -3*w + 3*q + 48 = 0. Solve u*g - 2*g = -w for g. -4 Let x = -141 + 145. Let v(s) = 9*s. Let d(u) = 28*u. Let w(z) = 5*d(z) - 16*v(z). Let m be w(-1). Solve m = 4*r - x for r. 2 Let m be (6/(-15))/((-2)/10). Suppose -5*h + 43 = -3*p, -7 = -h - m*p + p. Let b(c) = -c**2 + 8*c + 3. Let s be b(h). Solve -s*t + 2*t = 3 for t. -3 Let o = 12 + -7. Let u = -3 + o. Solve u = 2*r - r for r. 2 Let u(b) = 2*b**2 - 2*b - 3. Let c be u(-2). Let d be ((-3)/(-5))/((-4)/(-20)). Suppose -d*z = -3 - c. Solve -z = 3*x - x for x. -2 Let s(b) = -b**2 + 14*b - 28. Let c be s(11). Solve c*n = -0*n for n. 0 Suppose -2*h + 5*x = -0*h + 10, -h + 2*x - 3 = 0. Suppose -4*d - 35 = -3*j, 3*j - 6*j + 38 = -d. Let f = -13 + j. Solve h*l + 14 + 1 = f for l. -3 Let t(r) = r**2 - 4*r + 10. Let f be t(4). Solve -j - 4*j = f for j. -2 Let f = -6 - -6. Solve f = -0*u + u - 4 for u. 4 Let g = 203 - 198. Solve 0 = 2*k - k - g for k. 5 Suppose -s = s + 8. Let o(n) = n**2 + 4*n. Let c be o(s). Let m(l) = -l + 12. Let b be m(7). Solve b*x = -c*x + 5 for x. 1 Let o = -35 + 41. Solve 0 = -b - 2*b - o for b. -2 Let c = -13 + 15. Solve -12 = c*p - 6*p for p. 3 Let t = 5 - 1. Solve -6*q = -2*q + t for q. -1 Let x(z) = z**2 + 31*z + 34. Let s be x(-30). Solve 3*b + 2 = s*b for b. 2 Suppose 2*v + 0*v = 5*a + 29, 4*v = 4*a + 88. Let u be 40/18 - 6/v. Suppose -3*t - 25 = -5*t + 5*c, 10 = -5*t - 2*c. Solve 4*b + 10 - u = t for b. -2 Let l = -46 - -51. Let t be (-4)/(-6) + 4/3. Solve t = g + l for g. -3 Suppose 0 = -z - 2*j + 9, -8*z + 5*z = j - 12. Solve 5 = -z*w - 7 for w. -4 Let f be (-2)/7 - 58/(-7). Let c be ((-12)/8)/((-1)/2). Suppose -10 = -c*u + 5. Solve -u*i = -f*i - 9 for i. -3 Let q be 9 + -4 + -7 + (-4)/(-1). Solve q*u = -u for u. 0 Suppose -2*m = 2*v - m - 12, 0 = -4*v - m + 24. Let f be (v/(-10))/(1/(-5)). Suppose p = 4, 2*i - p + f*p = 14. Solve i*j = 4*j + 1 for j. -1 Let y = -7 + 14. Let l(k) = -2*k + 17. Let d be l(y). Solve 6 = d*m + 21 for m. -5 Let l be (-1)/4 + ((-5)/(-20))/1. Solve -4*v + 2*v - 6 = l for v. -3 Let h(j) be the first derivative of 3/2*j**2 + 4 - 5*j. Let l be h(5). Solve -3*x = -x + l for x. -5 Suppose -22*l + 17*l = -60. Solve 0 = -5*u + 13 + l for u. 5 Let f = -8 + 7. Let r be (16 + -4)*f/(-2). Solve 3*d + r = 5*d for d. 3 Let j(s) = s**2 + 7*s - 2. Let h be j(-6). Let y be (-10)/h*(0 + 4). Solve 0 = -0*v - y*v - 10 for v. -2 Let x be 4/(-6) + (2 - 12/(-18)). Solve 10 = -4*p + x*p for p. -5 Let r(z) = z**3 - 5*z**2 - 6*z + 3. Let s be r(6). Let k = -1 + s. Suppose -6 = -4*t + 18. Solve 0*a = -k*a - t for a. -3 Let d(n) = 5 + 2*n - 3 - 1 - 2*n**2 - n**3. Let u be d(-3). Solve 4*q + u = 16 for q. 3 Let j = 2 + -2. Solve j*o + 6 = -2*o for o. -3 Let f(s) be the first derivative of -s**2/2 - 3*s - 4. Let d = -9 - -6. Let t be f(d). Solve t = -2*c - 1 - 3 for c. -2 Let n be (8/(-6))/(8/(-12)). Suppose 17 + 7 = -3*f. Let z(x) = x**3 + 8*x**2 + x + 10. Let y be z(f). Solve n*b = -y*b for b. 0 Suppose 3*r + 15 = 24. Suppose 2*v = -2*v + 32. Solve v*s = r*s - 15 for s. -3 Let q be ((-3)/(-6)*2)/((-2)/(-6)). Solve q*c = 1 + 14 for c. 5 Let g = -26 - -29. Solve -15 = g*a - 0*a for a. -5 Let o(i) = 4*i**2 - i. Let w(z) be the second derivative of -z**4/12 - 2*z. Let h(t)
{ "pile_set_name": "DM Mathematics" }
ed to the nearest 100? 5100 What is -83045.219 rounded to the nearest 10? -83050 What is -0.00294095 rounded to three dps? -0.003 Round -7.332213 to zero decimal places. -7 Round -0.0035505193 to four decimal places. -0.0036 What is -543.202 rounded to the nearest 10? -540 What is 3.01538 rounded to 1 decimal place? 3 Round 0.000101978 to 6 decimal places. 0.000102 What is 1143691 rounded to the nearest ten thousand? 1140000 Round -0.00000677152 to six dps. -0.000007 What is -14.845198 rounded to the nearest integer? -15 What is 14477440.5 rounded to the nearest 1000000? 14000000 Round -0.00007961286 to 6 decimal places. -0.00008 What is -0.0000011553917 rounded to 7 dps? -0.0000012 Round 1085.9 to the nearest 100. 1100 Round -0.4856136 to two decimal places. -0.49 What is 22.54887 rounded to 1 dp? 22.5 Round -315820550 to the nearest one million. -316000000 Round 1323338.2 to the nearest 100000. 1300000 Round -95898750 to the nearest 10000. -95900000 What is 0.0000060093 rounded to five dps? 0.00001 What is -72.2907 rounded to one decimal place? -72.3 What is 87327.5 rounded to the nearest one thousand? 87000 Round 15.1493 to the nearest integer. 15 Round -0.03539533 to 2 dps. -0.04 Round -0.0004604922 to 4 decimal places. -0.0005 What is -0.000361272 rounded to 4 decimal places? -0.0004 Round 517756.7 to the nearest 1000. 518000 Round -1115.35 to the nearest one thousand. -1000 What is 6.50172 rounded to one decimal place? 6.5 Round 887368.4 to the nearest one thousand. 887000 What is -75.1628 rounded to the nearest ten? -80 What is 622.561 rounded to the nearest 100? 600 Round 24429.55 to the nearest ten thousand. 20000 What is -19542.28 rounded to the nearest ten? -19540 What is -260274.3 rounded to the nearest one thousand? -260000 Round -538594 to the nearest 1000. -539000 Round 14630.989 to the nearest one thousand. 15000 Round -2513.886 to the nearest one thousand. -3000 What is -1.24796 rounded to 0 decimal places? -1 Round 10344.35 to the nearest one thousand. 10000 Round 0.0001647533 to seven decimal places. 0.0001648 Round 30.5398 to zero dps. 31 Round -0.002556796 to 6 dps. -0.002557 What is -0.0046883 rounded to four dps? -0.0047 Round 0.07999291 to five dps. 0.07999 Round 0.0009697436 to four dps. 0.001 What is 19239150 rounded to the nearest 100000? 19200000 What is 2522.56 rounded to the nearest one hundred? 2500 What is 0.0000029441435 rounded to 7 decimal places? 0.0000029 Round -50.79794 to two decimal places. -50.8 What is -24.84594 rounded to the nearest ten? -20 What is -106529 rounded to the nearest 1000000? 0 Round 0.03940002 to four decimal places. 0.0394 What is -309.60344 rounded to the nearest integer? -310 What is -0.001770686 rounded to 5 dps? -0.00177 Round -0.152984 to 1 dp. -0.2 Round -5417298 to the nearest ten thousand. -5420000 Round 0.0007995565 to six dps. 0.0008 What is 171168 rounded to the nearest 10000? 170000 Round -9456580 to the nearest 100000. -9500000 What is 125545.8 rounded to the nearest 100000? 100000 Round -86506500 to the nearest one million. -87000000 What is -14688760 rounded to the nearest 10000? -14690000 What is 30960500 rounded to the nearest 1000000? 31000000 Round 11018.96 to the nearest 100. 11000 Round 0.025636 to 3 decimal places. 0.026 Round -38147000 to the nearest 1000000. -38000000 Round 0.00019666227 to seven decimal places. 0.0001967 What is 3.59935 rounded to two decimal places? 3.6 Round 0.0002283198 to 5 decimal places. 0.00023 What is 1375326.8 rounded to the nearest one thousand? 1375000 What is -20442400 rounded to the nearest one million? -20000000 Round 1.00991 to 1 decimal place. 1 What is -213404.89 rounded to the nearest ten thousand? -210000 What is -0.0708442 rounded to 2 dps? -0.07 Round 468.4464 to the nearest ten. 470 Round -2167500 to the nearest one thousand. -2168000 What is -272416500 rounded to the nearest one hundred thousand? -272400000 Round 121.0982 to the nearest 10. 120 Round 173.83441 to the nearest integer. 174 What is 350.095 rounded to the nearest 10? 350 What is -2285.73 rounded to the nearest one hundred? -2300 What is -0.0772076 rounded to four decimal places? -0.0772 Round 0.00002174859 to 6 decimal places. 0.000022 Round 51937.46 to the nearest 1000. 52000 Round 0.6073046 to 3 decimal places. 0.607 Round -0.00000038474277 to seven dps. -0.0000004 Round 0.633723 to one decimal place. 0.6 Round -30186950 to the nearest one million. -30000000 What is 204848100 rounded to the nearest 100000? 204800000 What is -7107830 rounded to the nearest 100000? -7100000 What is 0.00001954814 rounded to seven dps? 0.0000195 What is -12087.36 rounded to the nearest 10? -12090 What is -0.001050386 rounded to 5 dps? -0.00105 Round -158478.8 to the nearest ten thousand. -160000 What is -0.000216946 rounded to 5 decimal places? -0.00022 What is -0.00304087 rounded to four dps? -0.003 What is -13.22268 rounded to the nearest integer? -13 Round -7466625000 to the nearest one million. -7467000000 Round -286.5508 to the nearest 10. -290 Round -419086300 to the nearest 1000000. -419000000 Round -0.0000851671 to 5 dps. -0.00009 Round 40346.5 to the nearest ten thousand. 40000 Round -735.929 to the nearest 100. -700 Round 5267129 to the nearest ten thousand. 5270000 Round 477038.2 to the nearest one hundred thousand. 500000 What is -29228.35 rounded to the nearest ten? -29230 Round 0.1616312 to three decimal places. 0.162 Round 0.03173198 to 5 dps. 0.03173 What is 0.43720591 rounded to 4 decimal places? 0.4372 What is -0.0000223139 rounded to 5 decimal places? -0.00002 Round 2451562.4 to the nearest 1000. 2452000 Round -90022000 to the nearest 100000. -90000000 Round 18.57833 to 2 decimal places. 18.58 What is 70.176563 rounded to one dp? 70.2 Round -0.935628 to three dps. -0.936 Round -619022 to the nearest one hundred thousand. -600000 What is 22109603 rounded to the nearest one hundred thousand? 22100000 What is 484523.5 rounded to the nearest one hundred thousand? 500000 Round 0.2178765 to 3 decimal places. 0.218 Round -10463141 to the nearest ten thousand. -10460000 What is 219871 rounded to the nearest one thousand? 220000 Round -1139344 to the nearest one hundred thousand. -1100000 Round 15.741822 to 1 dp. 15.7 Round 0.03509503 to 5 decimal places. 0.0351 Round 6.233028 to the nearest ten. 10 Round 0.0464111 to four dps. 0.0464 Round -0.0004719 to three dps. 0 What is 0.00010643 rounded to five decimal places? 0.00011 Round -1.389306 to 1 decimal place. -1.4 Round 1436982.7 to the nearest 100000. 1400000 Round -261.71183 to the nearest integer. -262 What is 287.9485 rounded to zero decimal places? 288 Round -3688000 to the nearest one hundred thousand. -3700000 What is 5763950 rounded to the nearest 1000000? 6000000 What is -1240800 rounded to the nearest 10000? -1240000 Round -463.635 to 0 dps. -464 Round 0.03423381 to 3 decimal places. 0.034 Round 38.6072 to the nearest 10. 40 Round -3476.0892 to the nearest 10. -3480 Round -212628.5 to the nearest one thousand. -213000 Round -0.118604 to three decimal places. -0.119 What is -34.352504 rounded to 1 decimal place? -34.4 What is 747408000 rounded to the nearest one million? 747000000 Round 1838939.2 to the nearest ten thousand. 1840000 Round -0.004230467 to 6 dps. -0.00423 What is -4.442242 rounded to the nearest integer? -4 Round 0.00000198416 to 7 decimal places. 0.000002 Round -0.0000388227 to 5 decimal places. -0.00004 Round 16982677 to the nearest one million. 17000000 Round 26325300 to the nearest one million. 26000000 What is -138747200 rounded to the nearest 1000000? -139000000 What is 80.7103 rounded to the nearest 10? 80 Round -757672000 to the nearest 1000000. -758000000 What is 513454.9 rounded to the nearest 1000? 513000 Round 129378.8 to the nearest 10000. 130000 Round 0.001258701 to six decimal places. 0.001259 What is 0.27344946 rounded to four decimal places? 0.2734 Round 4606562000 to the nearest 1000000. 4607000000 Round 0.0595654 to two dps. 0.06 What is 0.001871693 rounded to 5 dps? 0.00187 What is 0.305638 rounded to two dps? 0.31 Round 456432000 to the nearest 1000000. 456000000 Round -181.0686 to one dp. -181.1 Round -18.919 to one dp. -18.9 Round -5337.5586 to the nearest 10. -5340
{ "pile_set_name": "DM Mathematics" }
- 423 wrt x? -534998 Differentiate 20742*d*o**4 - 1801857*d with respect to o. 82968*d*o**3 What is the second derivative of 8452*n**5 - 13347*n? 169040*n**3 Find the second derivative of -320171*p**2 + 23629*p + 2 wrt p. -640342 What is the third derivative of 434*d**3*x**3*z**3 + 5*d**3*x**3 + 3*d**2*x**3 - 2*d**2*x*z**2 + 36*d**2*x - 2*d*x**3 - 2*d*x*z**3 wrt d? 2604*x**3*z**3 + 30*x**3 What is the first derivative of 9802*g**4 + 95*g**3 + 716286 wrt g? 39208*g**3 + 285*g**2 Differentiate -69282*x**2 + 38273 with respect to x. -138564*x What is the second derivative of -d**3 + 8385*d**2*n + 2*d**2 + 143*d*n + 2*d - 2*n + 8 wrt d? -6*d + 16770*n + 4 What is the first derivative of -p*t*u**2 - 4*p*t - 1199*p*u - 2*p - 178*t - 204*u**2 + 45 wrt u? -2*p*t*u - 1199*p - 408*u What is the third derivative of 55*b**6 + 6*b**5 - b**4 + 3*b**2 - 29*b - 20 wrt b? 6600*b**3 + 360*b**2 - 24*b Find the first derivative of 2769*j**3*k**2 - 74439*j**3 - 2*k**4 + 4*k**3 wrt k. 5538*j**3*k - 8*k**3 + 12*k**2 Find the first derivative of 2*g*n**4 + 48*g*n + 11*g - 4*n**3*z + 739*z wrt n. 8*g*n**3 + 48*g - 12*n**2*z Find the second derivative of -6832*j**4 - 408*j + 50 wrt j. -81984*j**2 Differentiate -822384*w**2 + 589963. -1644768*w Differentiate 9047*j - 5550 wrt j. 9047 Find the first derivative of -22536*i + 23357. -22536 Differentiate -f**2*i + 2*f**2 - 312806*f*i + 2*f - 3443260*i with respect to f. -2*f*i + 4*f - 312806*i + 2 What is the second derivative of 44*d**4*r - 56*d**4 - d**3*r + 20*d*r + 5*d + 2*r + 2 wrt d? 528*d**2*r - 672*d**2 - 6*d*r What is the derivative of 714*h**2*w*y + 54*h**2*w + 29*h*w - 5*h*y**3 + 2*w*y**2 wrt y? 714*h**2*w - 15*h*y**2 + 4*w*y What is the derivative of 616*j**2*k**2 + 6*j*k**2 - 8846*k**2 - 4*k wrt j? 1232*j*k**2 + 6*k**2 Find the third derivative of -52601*p**3 + 1776*p**2 + 2*p - 3 wrt p. -315606 Find the third derivative of -23*r**4 - 148*r**3 - 3*r**2 + 4*r - 10 wrt r. -552*r - 888 Differentiate -135*p**3*r**4 - 33*p**3 + 17*p*r**2 - 2093 with respect to r. -540*p**3*r**3 + 34*p*r What is the third derivative of 109394*k**3 - 73633*k**2 wrt k? 656364 What is the third derivative of -1365*g*h**4*r - 2*g*h**4 + 2*g*h*r + 23*g*r + 29*h**3*r + 3*h**2*r - 3*r wrt h? -32760*g*h*r - 48*g*h + 174*r What is the first derivative of 305*s**4 - s**2 + 7489? 1220*s**3 - 2*s Find the third derivative of -5381*a**3 - 3*a**2 + a + 64 wrt a. -32286 What is the second derivative of -479*a**2*d**2*i - a**2*d*i*s + 8*a**2*i + 31*a*d**2*s + 3*a*d*i*s - 2*a*d*s + 33*d**2*i wrt a? -958*d**2*i - 2*d*i*s + 16*i Find the second derivative of -11*r**5*w**3 - 81426*r**2*w**3 + 875*r*w**3 - 817*r*w**2 wrt r. -220*r**3*w**3 - 162852*w**3 Find the first derivative of 1237*f**4*n + 7*f**4 + 1349*n + 3 wrt f. 4948*f**3*n + 28*f**3 What is the second derivative of 15876*c**2 - 39655*c wrt c? 31752 Find the second derivative of 8*i**2*q**3*z + 83*i**2*q**2*z**2 - i*q**2*z**2 + 37*i*q**2 + 2*i*z + 43*q**3*z wrt i. 16*q**3*z + 166*q**2*z**2 What is the second derivative of 5*i**2*u + 138*i**2 - 455*i*u - 2*i - 16*u wrt i? 10*u + 276 What is the third derivative of 2*d**3*l**2*z**2 - 2791*d**3*l**2 - 2*d**2*l**2*z**2 - 25*d**2*l*z - 3*d*l**2*z**2 - l*z wrt d? 12*l**2*z**2 - 16746*l**2 What is the first derivative of 13*f**2*m - f**2*u + 8*f**2 - 3*f*m - 20*f*u + 796*m*u + 104*m - u + 1 wrt u? -f**2 - 20*f + 796*m - 1 Find the first derivative of -400960*a + 311752 wrt a. -400960 Find the first derivative of 230*v**2 + 1493*v + 1327459. 460*v + 1493 What is the third derivative of 5*r**5 - 27*r**4 + 572*r**3 - 3*r**2 + 159360 wrt r? 300*r**2 - 648*r + 3432 Differentiate 53*f**2*g + 23*f**2*y + f*g*y - 4*f*y + g*y - 11*g - 2*y with respect to g. 53*f**2 + f*y + y - 11 What is the derivative of -5427320*c + 4110179? -5427320 What is the second derivative of -1163*g**2*w**2 - 6*g**2 + 5573*g*w**2 + 5*g wrt g? -2326*w**2 - 12 Differentiate h**3 + 549631*h**2 + h - 1431201 with respect to h. 3*h**2 + 1099262*h + 1 What is the first derivative of n**3 + 100364*n**2 + 473883? 3*n**2 + 200728*n What is the first derivative of -31*p*r**2 - 46*p*r - 142826*p + r**3 + 2*r wrt r? -62*p*r - 46*p + 3*r**2 + 2 What is the third derivative of 7366724*z**3 - 1850074*z**2? 44200344 Differentiate 531734*a**4 + 1896377. 2126936*a**3 Differentiate 18*q*z - 301561*q - 7407*z with respect to z. 18*q - 7407 What is the second derivative of -3*a*c**3*z**2 + 35*a*c**3*z - a*c**3 - 5829*a*c*z**3 - 2*a*z**2 + 2*a*z - 3*c**3*z + 24*z wrt z? -6*a*c**3 - 34974*a*c*z - 4*a Differentiate -3*f**2*s - 3*f**2 - s**3 + 1308*s**2 + 7736 wrt s. -3*f**2 - 3*s**2 + 2616*s What is the third derivative of -2*t**4 - 71425*t**3 + 242*t**2 - 935 wrt t? -48*t - 428550 Find the second derivative of 2*b**2*w**2*z - 17*b**2*w*z + 37*b**2*z - 4*b**2 + 40*b*w**2*z + 1366*b*w**2 - 2*b*w*z wrt b. 4*w**2*z - 34*w*z + 74*z - 8 Find the third derivative of 528406*v**6 + 678582*v**2 - 1 wrt v. 63408720*v**3 Find the third derivative of -3*p**2*v**4 - 12186*p**2*v**3 + 2*p**2*v - 3*p**2 - 15084*p*v**2 wrt v. -72*p**2*v - 73116*p**2 Find the second derivative of 406*n**2*v**2 + 29*n**2*v*x**3 - 5537*n*v**2 - 2*n*v*x**3 - 9*n*x**2 wrt n. 812*v**2 + 58*v*x**3 Differentiate 13512*z + 21620. 13512 Differentiate -23383*p - 15878 with respect to p. -23383 What is the third derivative of 777133*u*w**3 + 4*u*w**2 + 42*u*w + w**2 - 4*w + 1 wrt w? 4662798*u Find the second derivative of -3*f*h**4 - 8447*f*h**2 - 3255*f - 2*h - 3 wrt h. -36*f*h**2 - 16894*f Find the third derivative of -118884*c**4 - 4*c**2 + 16868. -2853216*c What is the second derivative of -3*d**4 - 14*d**3 + 168*d**2 - 3*d + 6634 wrt d? -36*d**2 - 84*d + 336 Find the second derivative of -f**2*s**2 - 3042*f**2*s - 6*f**2 - 4*f*s**2 + 3*f*s - 792*s**2 wrt s. -2*f**2 - 8*f - 1584 What is the second derivative of -5*m**4 - 89*m**3 - 220*m - 44 wrt m? -60*m**2 - 534*m What is the third derivative of 3*h**6 - 91903*h**4 - 4*h**2 - 3*h - 651 wrt h? 360*h**3 - 2205672*h What is the derivative of 349049*k**4 - 250341 wrt k? 1396196*k**3 Differentiate 3434*f*m**2*y**2 + 183*f*m**2 - 100*m**2*y**2 - 175*y**2 - 21*y wrt f. 3434*m**2*y**2 + 183*m**2 Find the second derivative of -7742*s*v**2 - 127*s + 74*v**4 + 2*v**3 - 5652*v wrt v. -15484*s + 888*v**2 + 12*v Find the first derivative of -20*a**4 - 12104*a**2 + 200196. -80*a**3 - 24208*a What is the third derivative of -1600593*o**3 + 1043671*o**2? -9603558 Find the second derivative of -3585*l**5 + 18*l**4 - 19232*l. -71700*l**3 + 216*l**2 Differentiate -2*c*t**3 + 4520*c*t**2 + 19*c - 21*t**3 + 32413 with respect to t. -6*c*t**2 + 9040*c*t - 63*t**2 What is the first derivative of -33535*c*g - 939*c*h - 20*g*h wrt h? -939*c - 20*g What is the third derivative of -220*m**4 + 1261*m**3 - 9285*m**2 + 3*m + 1 wrt m? -5280*m + 7566 Differentiate 2*j**3 - 55*j**2*p - 1050*j**2 - j*p - p - 44417 with respect to j. 6*j**2 - 110*j*p - 2100*j - p What is the derivative of 1272*a*w**3 - 7*a*w + 10*a + 28*w**3 + 10229*w**2 wrt a? 1272*w**3 - 7*w + 10 Find the third derivative of 89750*z**4 + 22*z**2 - 30*z - 16. 2154000*z Find the third derivative of -k**6 + k**5 + 47662*k**3 - k**2 + 138*k + 158. -120*k**3 + 60*k**2 + 285972 What is the second derivative of -t**4 - 47*t**3 - 26*t**2 + 60028*t? -12*t**2 - 282*t - 52 Find the third derivative of 2692678*a**3 - 2219321*a**2. 16156068 Differentiate -16*h**2*q**2 - 2*h**2*v - 3*h**2 + 4*h*q*v + 3*h*v - 7140*q**2 - 17076*v + 1 wrt q. -32*h**2*q + 4*h*v - 14280*q What is the third derivative of 4133*r**5 + 19*r**3 + 159188*r**2? 247980*r**2 + 114 What is the second derivative of -113335*t**3 + 71*t - 70 wrt t? -680010*t What is the first derivative of -76528*m**2*x - m**2 + 412*m + 13 wrt x? -76528*m**2 What is the derivative of -104*n**3*x**2 - 32*n**3 - 13*x**2 - x + 1993 wrt n? -312*n**2*x**2 - 96*n**2 What is the derivative of 291*d**2 - 34*d*y**3 + 58*d*y**2 - 5*y**3 + 117073*y**2 - 3*y wrt d? 582*d - 34*y**3 + 58*y**2 Find the third derivative of 1081042*x**4 - 61684*x**2 + 1. 25945008*x What is the third derivative of -2887*k**5 + 20*k**3 + 317460*k**2? -173220*k**2 + 120 What is the first derivative of -2*j**3 + 3*j**2 - 3158*j + 24091? -6*j**2 + 6*j - 3158 Wh
{ "pile_set_name": "DM Mathematics" }
the terms in -191*p**3 + 308*p**3 - 120*p**3. -3*p**3 Collect the terms in 791 + 2*q**2 - 791. 2*q**2 Collect the terms in 322*s - 5 + 3 + 0. 322*s - 2 Collect the terms in -18*f**2 - 248*f + 16*f**2 + 248*f. -2*f**2 Collect the terms in -4*d**3 - 13*d**2 + 13*d**2 + 3*d**3. -d**3 Collect the terms in -221*a**2 + 69*a**2 + 79*a**2 + 70*a**2. -3*a**2 Collect the terms in -10*v + 15*v - 2*v + 0*v. 3*v Collect the terms in -199*i**3 + 111*i**3 + 85*i**3. -3*i**3 Collect the terms in -6*l + 0*l + 21*l. 15*l Collect the terms in -6*j**2 - 33*j**2 - 3*j**2. -42*j**2 Collect the terms in 46*w + 1 - 2 + 159*w - 31*w. 174*w - 1 Collect the terms in 176*b**2 - 217*b**2 - 641*b**2. -682*b**2 Collect the terms in k**2 + 2*k**2 + k**2 - 7*k**2. -3*k**2 Collect the terms in 3*i**3 - 50*i**2 + 25*i**2 + 25*i**2. 3*i**3 Collect the terms in -4*u**2 + 68*u - 68*u - 2*u**2 + 4. -6*u**2 + 4 Collect the terms in -v**2 + 601*v - 601*v. -v**2 Collect the terms in 9*k**2 + 173*k - 173*k. 9*k**2 Collect the terms in -13*s + 9*s + 2*s - 2*s. -4*s Collect the terms in 27*h + 42*h + 35*h. 104*h Collect the terms in -2*l**2 + 18*l + 5*l - 23*l. -2*l**2 Collect the terms in -226*o**2 - 226*o**2 + 456*o**2. 4*o**2 Collect the terms in -3*r + 5*r - 2*r + 5*r**3. 5*r**3 Collect the terms in 96*z**3 - 35*z**3 - 64*z**3. -3*z**3 Collect the terms in -6 + 4*b**3 - 4 - 10. 4*b**3 - 20 Collect the terms in 30435*f + 30416*f - 60850*f. f Collect the terms in 10*o + o + 33 - 33. 11*o Collect the terms in 8*f + 4 - 13*f - 3. -5*f + 1 Collect the terms in 15*a**3 + 12*a**3 + 10*a**3 - 39*a**3. -2*a**3 Collect the terms in -6*s - 11*s + 19*s. 2*s Collect the terms in 11 - 5 - 2 - n**3. -n**3 + 4 Collect the terms in 19*x**2 - 61*x + 61*x - 2*x**2. 17*x**2 Collect the terms in -49*n**2 + 80*n**2 - 48*n**2. -17*n**2 Collect the terms in -1453 - 7*t + 1453 + 14*t - 5*t. 2*t Collect the terms in 1 + 12*y - 87*y - 1. -75*y Collect the terms in v**3 - 8*v**3 + 3*v**3 - 6*v**3. -10*v**3 Collect the terms in -39*t - 35*t - 25*t. -99*t Collect the terms in -25*s + 3 - 4 + 1. -25*s Collect the terms in 1 - 73*g**2 + 80*g**2 - 1. 7*g**2 Collect the terms in -5*d**2 + 2*d**2 - d**2 + 2*d**2 + d**2. -d**2 Collect the terms in -9*l - 12*l - 3*l + 3*l. -21*l Collect the terms in 21*g**3 - 19*g**3 + 2*g**2 - 2*g**2. 2*g**3 Collect the terms in 310*p**3 - 78*p**3 + 13*p**3. 245*p**3 Collect the terms in -22*l - 9 + 20*l + 9. -2*l Collect the terms in 6*f - 31 + 64 - 33. 6*f Collect the terms in -60*s + 12*s - 83*s + 13*s. -118*s Collect the terms in -12*x - 42847 + 42847. -12*x Collect the terms in 14*t + 9*t**2 - 15*t + 13*t + 30*t. 9*t**2 + 42*t Collect the terms in 146*c**2 - 73*c**2 - 72*c**2. c**2 Collect the terms in -693*b + 363*b + 328*b. -2*b Collect the terms in -70*y**2 + 263*y**2 - 92*y**2 - 84*y**2. 17*y**2 Collect the terms in 2*t**2 - 93 - 94 + 275 - 88. 2*t**2 Collect the terms in -29460*a - a**3 - 1 + 29460*a + 1. -a**3 Collect the terms in 26*b + 0*b + 7*b - 4*b. 29*b Collect the terms in q + 0*q - 4*q. -3*q Collect the terms in 1032 + 33*o**3 - 34*o**3 - 1032. -o**3 Collect the terms in 54*q**2 - 103*q**2 + 57*q**2. 8*q**2 Collect the terms in 3*l - 7*l + 3*l - 2*l. -3*l Collect the terms in -p + 11*p + 10*p - 7*p. 13*p Collect the terms in -15*f**2 + 0*f**2 - 12*f**2. -27*f**2 Collect the terms in -6*m - m - 4*m + 13*m. 2*m Collect the terms in -30*g**3 + 1838 - 1838. -30*g**3 Collect the terms in 3*w + 9*w - 77 + 77 - 9*w. 3*w Collect the terms in -235 + 235 - 79*k**2. -79*k**2 Collect the terms in 6 + 1355*m**2 - 44*m**2 - 6. 1311*m**2 Collect the terms in 0*q**2 - 8*q**2 + 0*q**2 + 4*q**2. -4*q**2 Collect the terms in 3*v - 3*v + 56*v**3 - 59*v**3. -3*v**3 Collect the terms in -374*k + 3 - 41*k - 3. -415*k Collect the terms in 7*m**2 + 2*m**2 - 3*m**2 + 18*m**2. 24*m**2 Collect the terms in 10 - 20 + 10 + 367*q**2 - 371*q**2. -4*q**2 Collect the terms in -11*i**2 - 11*i + 11*i. -11*i**2 Collect the terms in -3*m**2 + 7*m**2 + 7*m**2 - 3*m**2. 8*m**2 Collect the terms in -53*q**3 + 11*q**3 - 73*q**3. -115*q**3 Collect the terms in 36645*k**2 + 0 - 2*k**3 + 0 - 36645*k**2. -2*k**3 Collect the terms in 30*z**3 + 74*z**3 - 13*z**3. 91*z**3 Collect the terms in o + 6*o - 9*o. -2*o Collect the terms in -32*q**3 + 88*q**3 - 42*q**3. 14*q**3 Collect the terms in 65*z**3 - 5*z + 80*z**3 + 5*z. 145*z**3 Collect the terms in -3*f + 49 - 49 + 9*f. 6*f Collect the terms in -335*p + 161*p + 171*p. -3*p Collect the terms in 16 + 29*a - 4 - 12. 29*a Collect the terms in 4*m**2 - 161*m + 81*m + 80*m. 4*m**2 Collect the terms in 6*l**2 + 33*l**2 - 2*l**2. 37*l**2 Collect the terms in 15 + 12*f**2 - 8 - 7. 12*f**2 Collect the terms in 14*o - 68*o**3 - 14*o. -68*o**3 Collect the terms in -816*q + 274*q + 4*q**3 + 267*q + 275*q. 4*q**3 Collect the terms in -13*c**2 + 31*c**2 - 3*c**2. 15*c**2 Collect the terms in 5 - 8 + 45*u**3 + 3. 45*u**3 Collect the terms in -10*k + 2 - 4 + 2. -10*k Collect the terms in 17*k**2 - 24*k**3 + 11*k**2 - 28*k**2. -24*k**3 Collect the terms in 66*l**3 - 60*l**3 - l + l. 6*l**3 Collect the terms in -106*c**2 + 4*c**3 + 17*c**2 - c**3 - 4*c**3. -c**3 - 89*c**2 Collect the terms in 10*w**2 - 3*w**2 + 4*w**2. 11*w**2 Collect the terms in 50*z**3 + 2*z**2 - 2*z**2. 50*z**3 Collect the terms in 43*l - 102*l + 1 + 2 + 38*l. -21*l + 3 Collect the terms in 45*y**3 - 9*y**3 + 6*y**3. 42*y**3 Collect the terms in -2*f**2 + 304670*f - 304670*f. -2*f**2 Collect the terms in -15*c**2 - 10*c**2 - 52*c**2. -77*c**2 Collect the terms in 52*u**3 - 171*u**3 - 104*u**3. -223*u**3 Collect the terms in -15683*v + 0*v**2 + 15683*v + 4*v**2. 4*v**2 Collect the terms in 120 - 120 + 26*h. 26*h Collect the terms in -10*x - 10*x + 19*x. -x Collect the terms in -404 - 33*o + 404 + 17*o + 17*o. o Collect the terms in 6*p + 141 - 141. 6*p Collect the terms in -2988 + 4*c**3 + 0*c**3 + 5979 - 2991. 4*c**3 Collect the terms in 6*m**3 + 34*m - 18*m - 16*m. 6*m**3 Collect the terms in 13*q**2 + 7*q**2 - 18*q**2. 2*q**2 Collect the terms in 5*g + 27*g - 4*g + 0*g. 28*g Collect the terms in 29 + 23 - 52 + h**3. h**3 Collect the terms in 29*r - 1 - 3*r - 1. 26*r - 2 Collect the terms in -q - 3*q - 3*q**2 - q + 6*q**2. 3*q**2 - 5*q Collect the terms in -42*i**2 + 95*i**2 - 12*i**2 - 12*i**2. 29*i**2 Collect the terms in 6*u + 206*u**2 - 194*u**2 - 6*u. 12*u**2 Collect the terms in -22*i - 18*i + 16*i. -24*i Collect the terms in -92*p - 91*p - 91*p - 94*p + 369*p. p Collect the terms in 4*a**3 - a**2 - 13 + a**2. 4*a**3 - 13 Collect the terms in -2 - 14 - 2 + 6*h**2. 6*h**2 - 18 Collect the terms in 10*x + 3*x - 20*x - 3*x + 7*x. -3*x Collect the terms in 12*l**2 - 8*l**2 - 5*l**2 + 1 - 1. -l**2 Collect the terms in -10*w - 5398 + 5398. -10*w Collect the terms in 12800 - 6*s + 12804 - 25604. -6*s Collect the terms in 7*b - 20*b + 13*b + 44*b**2. 44*b**2 Collect the terms in 12*b**3 + 5 - 5 - 6*b**3. 6*b**3 Collect the terms in -34 - 24 + c - 30 + 88. c Collect the terms in -3*o - 4*o + 4*o. -3*o Collect the terms in 3*j + 2*j + 20*j**2 - 5*j. 20*j**2 Collect the terms in -195 - 185 + 94*l + 380. 94*l Collect the terms in 4*f**3 - 432 + 207 + 225. 4*f**3 Collect the terms in 500 - 3*w + 486 - 986. -3*w Collect the terms in 4*u**2 - 13*u**2 - 103*u + 101*u. -9*u**2 - 2*u Collect the terms in -63*u**2 + 9*u**2 - 43*u**2 - 20*u**2 + u**3. u**3 - 117*u**2 Collect the terms in -31 - 70 + 101 - 2*x. -2*x Collect the terms in -42*f**2 + 166*f**2 - 78*f**2 - 45*f**2. f**2 Collect the terms in -759783 + 759783 + 6*x. 6*x Collect the terms in 62*n**2 + 18*n - 37*n + 19*n. 62*n**2 Collect the terms in -74 + z - 54 + 128. z Collect the terms in -20*b**2 + 14*b**2 - 22*b**2 - 5*b. -28*b**2 - 5*b Collect the terms in -j**3 + 49*j**2 - 49*j**2 - 203*j. -j**3 - 203*j Collect the terms in -10 - 76*r + 10. -76*r Collect the terms in 8*w + 12*w - 20*w - 7*w**2. -7*w**2 Collect the terms in -1 + 0*y - 1 + 0*y + 309*y**2. 309*y**2 - 2 Collect the terms in 2*u**2 - 3*u**2 - 5*u**2 + 7*u**2. u**2 Collect the terms in -986*x**2 - 4 + 4. -986*x**2 Collect the terms in -3 + 19 + 0*b + 0*b - b**3. -b**3 + 16 Collect the terms in 9*n**2 - n + n. 9*n**2 Collect the terms in -4*q + 25*q - 20*q. q Collect the terms in -36*y**3 - 42*
{ "pile_set_name": "DM Mathematics" }
n + 11. Let t be x(6). Suppose -b - 18 = -t. Is b composite? True Let s be 4*(-4)/(-8) - -37. Let d = s + 208. Is d prime? False Suppose 1 + 11 = 4*s. Suppose -4*h - 30 = -3*d, -s*d - 5*h + 0 = -3. Is 9/d*1*4 a prime number? False Is 422/3*(-24)/(-16) a prime number? True Let j = -529 + 1266. Is j a prime number? False Let w = 59 - -53. Let x = w + -25. Is x a composite number? True Let a = -10 + 28. Let m = -3 + a. Suppose l = 2*l - m. Is l composite? True Let u be (-1)/(-3) - 42/(-9). Suppose -4*k + 751 = -h, -u*h + 871 - 325 = 3*k. Is k/5 - (-4)/(-10) prime? True Let s = 2 - -3. Suppose 0 = -s*q + 147 - 17. Is q a composite number? True Let b(f) = -f + 2. Let t be b(2). Suppose 29 = 2*o - 5*l, -2*o = -t*l + l + 1. Suppose o*h + 55 = 7*h. Is h composite? False Let m = 1 - -5. Suppose 0 = 5*j - 10, -m*j + j + 75 = 5*l. Is l composite? False Let m(q) = 3*q. Let h be m(1). Suppose h*p + 3*d = -0*d + 222, -3*p - 5*d + 220 = 0. Suppose -p = -4*r + r. Is r a prime number? False Suppose -l - 2 + 1 = 0. Let i be -1*(1 - (-1 - l)). Let x(g) = -38*g**3 + g**2 - g - 1. Is x(i) prime? False Suppose -5*l + 1378 + 7257 = 0. Is l composite? True Let v be 4/6*(-483)/(-2). Suppose j - x - 32 = 0, 5*x = 5*j + x - v. Is j composite? True Suppose 3812 = 2*i - 334. Is i prime? False Let z(a) = 22*a**2 + 2*a - 3. Let w = 2 + 0. Is z(w) a composite number? False Suppose z = 4*z - 414. Suppose 44 = 2*w - z. Is w prime? False Let n be (16/20)/((-1)/10). Let o(x) = -x**3 - 2*x**2 + x - 3. Is o(n) a prime number? True Let x be 3 + 7/((-14)/(-40)). Suppose 16 = w - x. Is w a prime number? False Suppose -4*a - 2*o = -398, -3*a + 2*o + 62 = -233. Let q = a - 62. Is q a composite number? False Is 4/(-3)*-3 - -2 prime? False Let c = -1 + 4. Suppose -4*i + 13 = -c. Suppose 9*t - 275 = i*t. Is t a composite number? True Let v(s) = -9*s. Let q be v(-1). Let k = q - -70. Is k composite? False Suppose -2*a + 3*q = -25 - 12, -17 = -a + q. Let r = 141 - a. Is r a composite number? False Suppose -4*v + 26 = -5*m, -2*v = 2*v - 2*m - 20. Suppose -4*u + 886 = -u - v*l, 3*l + 591 = 2*u. Let n = 421 - u. Is n a composite number? False Let k = -5 - 11. Is (-844)/k + (-1)/(-4) prime? True Let i = -252 - -478. Is i composite? True Let x(l) = -5*l. Let i be x(-1). Suppose i*v = -5*s + 165, -v + 160 = 3*v - 3*s. Is v composite? False Let y(n) be the first derivative of 6*n**3 - n**2 + n - 1. Let w(h) = -h**3 - h - 2. Let k be w(0). Is y(k) a composite number? True Suppose -4*w = 4*g - 232, 0 = -w + 4*g + 79 - 1. Is w composite? True Let c(w) = w**3 + 2*w**2 - 5*w - 4. Let v be c(-3). Suppose -f = v*f - 63. Is (f/(-6))/(2/(-4)) composite? False Let y(i) = -i**2 + 5*i + 4. Let w be y(6). Is (1/2)/(w/(-104)) a prime number? False Let w = -5 + 7. Is 105/2 + w/4 composite? False Let v(u) = 4*u**3 - 13*u**2 - 6*u - 1. Let n(p) = -p**3 + p**2. Let b(d) = -5*n(d) - v(d). Is b(-6) a composite number? False Suppose -n - 8 = n + 2*a, 5*n + 2*a + 8 = 0. Let y = 291 + -142. Is y/(-4)*(n - 4) prime? True Suppose 0 = 10*t - 307 - 1243. Is t a prime number? False Suppose -17*p + 14*p - 12 = 0, 4*h - p = 1072. Is h a composite number? True Let v(y) = 7*y + 11. Let d(w) = 7*w + 12. Let j(h) = 4*d(h) - 5*v(h). Suppose 4*z = z - 18. Is j(z) a prime number? False Let g be (-4)/(-22) - 39/33. Let m(c) = 1. Let t(x) = -4*x + 3. Let u(b) = g*t(b) + 2*m(b). Is u(2) prime? True Let v = 10 - 7. Suppose 4 = -o - v*o. Let g(d) = -58*d + 1. Is g(o) composite? False Suppose 5*v - 48 = 3*b - 281, 192 = -4*v + b. Let c = 0 - v. Let u = -30 + c. Is u prime? True Let c be (-1)/(-1) + (-3)/1. Is (356/4)/(3 + c) a prime number? True Suppose -5*k + 75 + 95 = 0. Suppose -5*i = -3*z - 275, 3*i + 2*z = 150 + k. Is i composite? True Let q = -35 - -73. Suppose -14 = -k + 3*w + q, 0 = -4*k + 5*w + 222. Is k/3 + 1/(-3) a prime number? True Is ((-17)/34)/((-2)/92) prime? True Let a(j) = j**2 + 13*j + 7. Let x(k) = k - 1. Let g(n) = a(n) - 4*x(n). Is g(-11) a composite number? True Suppose -5*b = z - 0*z - 25, 4*z = 0. Suppose 2*d - 2*a - 236 = -5*a, 5*d + b*a - 590 = 0. Is d a prime number? False Suppose -30 = 3*v + 2*v. Let m be (-1 - -37) + 4 + v. Let g = -23 + m. Is g prime? True Let n(w) = w**3 - 10*w**2 + 5*w - 2. Let d be n(7). Let s = d + 179. Is s a prime number? False Suppose -h + s = -4*h + 136, 0 = 5*h - s - 224. Let a be 4/((-129)/h - -3). Suppose 3*g + a = 183. Is g a composite number? True Suppose -8 = 3*m + 13. Let t(s) = -s**3 - 5*s**2 + 2*s + 5. Is t(m) a composite number? False Is (-2)/(-16) - (-178850)/112 prime? True Suppose -2*a = -0*a - 2314. Is a a composite number? True Suppose y + 2*y - 30 = 0. Is y/(-25) + (-132)/(-5) prime? False Let p(k) = 6*k**3 + 0*k**3 - 3 - 4*k**2 - 2*k**2 - 5*k**3 + 4*k. Is p(8) composite? False Let n be (3 + -2)/(1/10). Let f = -7 + n. Is f prime? True Let p = 2 + 0. Let i(d) = -3*d**p - 3 + 4*d**2 - 3*d + 2*d + 3*d. Is i(-10) composite? True Let x = -96 - -8. Suppose 274 = -p - p. Let v = x - p. Is v a prime number? False Let r(l) = 8*l**2 - 11*l + 4. Is r(-10) a composite number? True Suppose 2*b = b + o + 8, 0 = -3*b - 3*o + 6. Let r be (-6)/(-15) + 18/b. Suppose r*p - 259 = 89. Is p a prime number? False Suppose -3*w + 2*w = -2. Is 1995/28 + w/(-8) a prime number? True Let m be 3/15 - 93/15. Let n be (-6)/9*m + 1. Let y(i) = -i**3 + 4*i**2 + 6*i + 2. Is y(n) prime? True Let f be (1230/20)/(1/(-2)). Let l = f - -380. Is l composite? False Suppose 0 = 3*t + 182 + 91. Is 0/(-3) - t - 2 a composite number? False Suppose 0*a - 4*a = -32. Suppose 0 = 4*m - a. Suppose m*t - 25 = 13. Is t composite? False Suppose 9 = -4*b + 1, -5*d - 2*b + 341 = 0. Is d composite? True Suppose -4*a = -5 - 7. Suppose -2*o = -4*s - 426, 0 = 3*s + a - 0. Is o a prime number? True Let z(c) = -c**2 + 5*c + 3. Suppose 5*g = 2*g + 15. Let s be z(g). Suppose 5*b = -5*p + 36 - 1, -s*b + 2*p + 1 = 0. Is b a prime number? True Suppose -l - 23 = -144. Is l a composite number? True Suppose -12 = 2*b + 2*b. Let w be 1430/8 + b/(-12). Suppose 2*c - w = -21. Is c a prime number? True Let f(o) = -2*o. Let d be f(1). Let h be d*(-1)/(-4)*762. Is h*(0 + (-1)/3) prime? True Suppose 77 + 2031 = 4*j. Is j a composite number? True Let n(b) = 10*b**2 + b - 7. Is n(4) a prime number? True Suppose -q + 473 = -4*c, -3*c + 0 = -6. Is q composite? True Suppose -3*c + 17 = -4. Suppose 0 = 4*x - 60 + 44. Suppose -o + z + c = 0, 0*o - z - 28 = -x*o. Is o a prime number? True Let g be (-4)/(-8)*(1 - -19). Let l(n) = -n**2. Let y(m) = -7*m**2 + 12*m - 7. Let w(q) = -6*l(q) + y(q). Is w(g) a composite number? False Suppose 10 = 2*m - 0*m. Suppose 0 = 4*b - 0*y - 2*y - 6, m*b + 2*y - 12 = 0. Suppose -j = b*j - 159. Is j composite? False Let s = -3502 + 6111. Is s a prime number? True Suppose -2236 = -0*n - n + 3*f, 0 = -4*n - 2*f + 8874. Is n a composite number? False Let i(c) = 6*c - 11. Let k be i(-7). Is (k/(-2))/((-2)/(-20)) a prime number? False Let o = -239 - -159. Let k = o - -39. Let l = -4 - k. Is l a prime number? True Let s(p) = 111*p**2 - 4*p - 2. Is s(-1) a composite number? False Let u(o) = -7 - 2 + 14*o + o + 2*o. Is u(8) composite? False Let m = 529 - 333. Let w = m + -83. Is w a composite number? False Let p = -88 - -139. Is p composite? True Let h(g) = -3*g**3 - 2*g**2 + g - 2. Let b be h(-2). Is (-3358)/(-8) + (-9)/b a prime number? True Let v(j) = 3*j**3 + 2*j**2 + j - 79. Let d(c) = 4*c**3 + 3*c**2 + 2*c - 78. Let o(q) = -2*d(q) + 3*v(q). Let l be o(0). Is -1 + 2 - (l + -1) composite? False Suppose 2*u = 38 + 4. Let m = u - 13. Suppose -2*z - 2 + m = 0. Is z composite? False Let i = 1398 - 877. Is i composite? False Let m = -810 + 1331. Is m prime? True Let k(m) = m + 10. Let c be k(-16). Is 16/(-24) - 8890/c composite? False Suppose 5*p = 26 + 14. Let m = p + 47. Is m composite? True Suppose 0 = 3*y - 286 - 356. Is y prime? False Suppose -5*b + 20 = -3*b - 2*n, 0 = -2*b - n + 5. Suppose -b = 5*r - 180. Is r prime? False Let t = 1474 + -765. Is t a prime number? True Let l = 8 - 3. Suppose 250 = 3*s + l*f, -87 = -s - 0*f + 2*f. Is s a prime number? False Let r = -1297 + 2186. Is r a composite number? True Let f(g) = -g - 6. Let a be f(9). Let p be -1 - 1/(-1) - 29. Let u = a - p. Is u a composite number? True Let s
{ "pile_set_name": "DM Mathematics" }
- 1 - 3)*(f - f - f) - 2 + 2 - f. 25*f Expand (-5*r + 5*r + 8411*r**2 + 1305*r**2)*(3*r - r - r). 9716*r**3 Expand (14*q - 9*q + 13*q)*(-3*q - q + q)*(-5 - 9 + 13 - 4*q). 216*q**3 + 54*q**2 Expand (-4591965*o**3 + 8*o**4 + 4591965*o**3 - 91)*(-1 + 1 + 2*o). 16*o**5 - 182*o Expand (5192*v**4 - 10166*v**4 + 5279*v**4)*(8*v + 2*v + 10*v). 6100*v**5 Expand (2*i**3 + 2*i**2 - 2*i**2)*(3 - 3 + i) - 2*i**4 + 2*i**4 + 2*i**4 - 6218*i + 6218*i - 99*i**4 + (-1 + 1 - 2*i)*(i**3 + 0*i**3 + i**3). -99*i**4 Expand (3 - 3 - 1)*(-12*r + 31*r + 3029 - 20*r + 1593)*(r**3 + 2*r**3 - r**3). 2*r**4 - 9244*r**3 Expand (-27*l**2 + 25*l**2 - 41*l**2)*(-2*l + l - 2*l)*(-2*l + 2*l - 2*l**2 + (2*l + 0 + 0)*(-3*l + l + 0*l) + 0*l**2 + 5*l**2 - 2*l**2). -387*l**5 Expand (7*d**4 - 2*d**4 - 3*d**4)*(-6 + 213 + 31). 476*d**4 Expand (2 - 2 - 4*j**2)*(j - 2*j + 0*j)*((-j - 2*j + j)*(-4 + 5 - 2) + 46*j - 33*j + 49*j + (-2*j + 1 - 1)*(0 - 4 + 1)). 280*j**4 Expand (-2*r**2 + 3*r**2 + 0*r**2 - 1 + 2*r**2 + 1 + (4 + 2*r - 4)*(r - 4*r + r) - 3*r**2 + r**2 + r**2 - r**2 - 1 + 1)*(910*r**3 - 1101*r**3 - 1342*r**3). 4599*r**5 Expand (459*l + 1167*l - 220*l + (6*l - l - 3*l)*(-1 + 3 - 4) - 3*l + 2*l - l)*(-4*l**3 + 6*l**3 - l**3). 1400*l**4 Expand (-3*x**2 - 3*x**3 + 3*x**2)*(1 + 2*x - 1) + (-7709*x + 7709*x + 34*x**4)*(-6 + 1 + 3). -74*x**4 Expand (1 - 1 - 1)*(-v**2 + 1 - 1) + (3 + 1 - 6)*(2 - 7 + 2)*(131*v**2 - 4*v - 126*v**2 + 6*v - 27). 31*v**2 + 12*v - 162 Expand (3 - 30*k + 25*k + 1)*(5*k - 3*k - 3*k + (-4*k - k - 8*k)*(3 - 5 + 0)). -125*k**2 + 100*k Expand (0*d**2 + 0*d**2 + 3*d**2)*(-797*d**3 + 380*d**3 + 270*d**3) + 0*d**4 + d**5 + 0*d**4 - 5*d**5 - d**5 + 5*d**5. -441*d**5 Expand 2342907*r - 2342907*r + 45*r**4 + 2*r**5 + (-1 - 1 + 3)*(2*r**5 - 3*r**5 + 0*r**5). r**5 + 45*r**4 Expand 8591 - 8591 - 2567*v + 4*v - 4*v - 2*v + (0 - 2*v + 0)*(3 - 4 + 3). -2573*v Expand (3*u**2 - 4*u**2 + 0*u**2)*(-2 + 2 - 2*u) + 4 + 11*u**3 - 5*u**3 - 9*u**3. -u**3 + 4 Expand -6*b**4 - 2 + 2 + (-555*b**2 + 670*b - 670*b)*(-b + b + b**2) + 3*b**4 - 3*b**4 + 2*b**4. -559*b**4 Expand -2869*t + 18152 - 18152 + 0 + 0 - t + 1 - 1 - 2*t + (-1 + 1 + t)*(-2 + 1 + 3) + 2*t - 2 + 2 + 1 - 3*t - 1 - 2*t - 2*t + 3*t. -2872*t Expand 2*i - 2*i - 3*i + 4*i - 2*i - i - i + i - i + (-1 + 4 - 4)*(-2*i + i + 3*i) + 476*i - 1718*i + 4212*i + 2243*i + 2835*i. 8043*i Expand -2*l + 243729 - 121868 - 3*l**2 - 121863 + (-3*l + 2*l + 2*l)*(-4 + 4 + l). -2*l**2 - 2*l - 2 Expand 2*b**4 - 5*b**4 + 0*b**4 + (-5*b + 16*b - 6*b)*(-1 + b + 1)*(-6*b**2 + b**2 + 0*b**2) - 3*b**4 + 7*b**4 + 0*b**4. -24*b**4 Expand (-5*l**2 - 10*l**2 - 2*l**2)*(-2 + 6 - 3) + (2*l**2 - l**2 - 2*l**2)*(-14 + 18 + 17). -38*l**2 Expand (418 - 62 - 50)*(1 + 0 - q + 4*q). 918*q + 306 Expand (-3 + 4 - 3)*(4870*s**2 - 73 - 2433*s**2 - 2434*s**2). -6*s**2 + 146 Expand (7 - 5 - l + 0*l)*(-19 + 51 + 32). -64*l + 128 Expand (21283 + 2*t**2 - 30*t - 21283)*(-2*t**2 - t**2 + 2*t**2). -2*t**4 + 30*t**3 Expand (-4 + 2 - 1 + (8 - 3 - 2)*(3 + 3 - 2))*(-6 + 6 - 3*l**2) - 2*l**2 - l**2 + l**2 + 3*l**2 - 5*l**2 + 7*l**2. -24*l**2 Expand (0*x + 2*x - 4*x)*(x**2 + x**3 - x**2) - 236*x**4 - 1519 + 1519 + 3*x**4 - 3*x**4 - 2*x**4 + (2*x + 2*x - 2*x)*(3 - 3 + 4*x**3) + x**3 - x**3 + 4*x**4. -228*x**4 Expand (-2*q + 0*q + 5*q)*((-5 + 2 + 2)*(q + q - 4*q) + 231*q - 500*q - 546*q). -2439*q**2 Expand (-7 + 59 + 39 - 1 + 1 + 1 + (-1 + 0 + 0)*(-2 - 2 + 3))*(39*r**4 - 4*r**4 - 6*r**4). 2697*r**4 Expand (3*r**2 - 2*r**2 - 2*r**2)*(3*r - 4 + 2*r + 2) - 1162*r**2 + 1162*r**2 + 425*r**3. 420*r**3 + 2*r**2 Expand (2 + 4 - 1)*(1164 - 131*l - 1164). -655*l Expand (1 + 1 + 3)*(-q + 4*q - 2*q)*(-37*q**2 + 15*q**2 + 23*q**2). 5*q**3 Expand (7 + 0 - 2)*(5 - 1 - 3)*(3 - 3 - b) - 54*b - 277*b - 95*b. -431*b Expand (3*n - n + 0*n)*(-2*n**4 + 4*n**4 + 0*n**4) + 15*n**3 - 8*n**5 - 15*n**3 + 62*n**5 - 27*n**5 - 24*n**5. 7*n**5 Expand (-2*z**2 - 3*z**2 + 6*z**2)*((1 - 2 - 1)*(-1 - 1 + 4) + 1 - 5 - 5)*(28 + 40 - 42). -338*z**2 Expand (-2 - 11 - 23)*(4*n - n - 4*n)*(15*n**3 - 4*n**3 - 6*n**3). 180*n**4 Expand (-2*b + 0*b - 2 - 4*b)*(27*b - 27*b - 12*b**3) + (-2*b + 0*b - b)*(b**3 - b**3 - b**3). 75*b**4 + 24*b**3 Expand -6*y**2 + y**2 + 3*y**2 - 62*y**2 - 139 + 139 + (8 + 7 + 2)*(-2*y + 2*y + 2*y**2). -30*y**2 Expand (-53*f**2 + 0*f + f + 55*f**2)*(-6 - 9*f + 6) - f**2 + 2*f**3 + f**2 + (7*f**3 - 4*f**2 + 4*f**2)*(-3 + 4 + 0). -9*f**3 - 9*f**2 Expand ((-2*q + 1 - 1)*(-2*q + 5*q - 2*q) - 4*q**2 - 2*q**2 + 5*q**2 - 53*q**2 - 66*q**2 + 86*q**2 + 3*q**2 + 5*q**2 + q**2)*(4*q**3 - 3*q**3 - 3*q**3). 54*q**5 Expand (12096100 + 4055*r - 12096100)*(0 - 4 + 5)*(-62 + 16*r + 62)*(-5 + 5 + 2). 129760*r**2 Expand (11 + 1 - 6)*(-4*t**3 + t**3 + t**3)*(2*t**2 - t**2 + t**2 + t) - 3*t**5 - 4*t + 4*t + (2*t**2 + 2*t - 2*t)*(-24*t + 24*t - 9*t**3). -45*t**5 - 12*t**4 Expand (2*y**2 + 3*y**2 - 3*y**2)*(4*y - 13 + 13) + (-3 + 6 + 5)*(1 - 1 - 3*y**3) - 7*y**3 - 11*y**3 + 3*y**3. -31*y**3 Expand -92*q**3 + 68*q**3 - 112*q**3 + 0*q**3 - q**3 - q**3 + (-2 + 1 + 0)*(q + 3*q**3 - q). -141*q**3 Expand (4 - 10 + 12)*(-20*y + 7*y + 8*y) + 3*y + 3*y + 2 - 7*y. -31*y + 2 Expand (t + t + 0*t)*(-1 + 1 + 2*t) + 2*t**2 + 8*t**2 - 6*t**2 - 34*t**2 - 7*t**2 + 8*t**2. -25*t**2 Expand 2 - 2 - n**2 + (3*n - 4*n + 0*n)*(2*n + 0 + 0) + 6*n**2 + 0*n**2 - 5*n**2 - 34*n**2 - 14216 + 14216 - 3*n + (n - 6*n + 0*n)*(0*n - n + 0*n). -31*n**2 - 3*n Expand (-37*x**2 + 160 - 160)*(3*x**2 + x**2 + 5*x**2). -333*x**4 Expand (1 + 0 - 3)*((3 + 2*n - 3)*(-5 + 3 + 4) + (-22 - 29 - 3)*(-3*n - n + 6*n) + 15*n + 15*n + 9*n). 130*n Expand (-h + 4*h - 2*h)*(-53*h + 9*h + 286*h). 242*h**2 Expand (-4 + 4 - 2)*(-z - 2*z + 2*z)*(592*z**2 - 63144*z + 63144*z). 1184*z**3 Expand (-3*c**2 + 6*c**2 - c**2)*(2*c**3 - 4*c**3 + 5*c**3) - 29*c**5 - 331*c**5 - 90*c**5 + 0*c + 0*c + c**5. -443*c**5 Expand (-465 - 50*y + 465)*(3*y + y - y)*(-2*y**2 + 0*y**2 + 4*y**2). -300*y**4 Expand (43*i - 30*i + 43*i)*(2*i**3 + 6*i**3 + 2*i + i**3). 504*i**4 + 112*i**2 Expand 1 - 1 - 3*z - 2*z + 4*z - 4*z + (-3 - z + 3)*(2 - 1 - 2) + 3112*z - 1368*z - 1107*z - 3*z + 3*z + z. 634*z Expand (-67 + 6*n**2 + 27 + 19)*(79*n - 102*n + 70*n). 282*n**3 - 987*n Expand (2 + 3 - 2)*(2 - 4 + 1)*(-158*g + 243*g - 756*g - 315*g). 2958*g Expand (-6486*i + 3280*i + 3331*i - 2 - 42*i**2)*(-1 - i**2 + 1). 42*i**4 - 125*i**3 + 2*i**2 Expand (2*c**2 + c**2 - 4*c**2)*(0*c**2 - c**2 - c**2 + (0*c - 3*c + 2*c)*(2*c + 0*c + 0*c) - 2*c**2 + 4 - 1 + 3) + 597*c**4 + 2977*c**2 - 2977*c**2. 603*c**4 - 6*c**2 Expand (10 - 2 + 6)*(6*t - 43780 - 43740 + 87632). 84*t + 1568 Expand (2*l**3 - 6*l**3 + 6*l**3)*(862 + 1739 + 452 - 103 + 364). 6628*l**3 Expand (4 - 4 - 3*j)*(0 + 0 - j**2) + (-8*j**3 - 67 + 67)*(-2 + 5 - 1)*(24 - 4 + 1). -333*j**3 Expand (307*f + 309*f - 607*f + 15)*(8 - 6*f - 8). -54*f**2 - 90*f Expand 4*p - 3*p**3 - 4*p + (-2 + 0 - 1 - 2*p)*(29*p + 7*p**2 - 1 - 99*p + 78*p). -17*p**3 - 37*p**2 - 22*p + 3 Expand (1402*r - 211*r + 381*r)*(0*r - r - 2*r). -4716*r**2 Expand (-3*v + 4*v + 1 + 2)*(-592*v**3 + 78*v**2 + 86*v**3 - 80*v**2). -506*v**4 - 1520*v**3 - 6*v**2 Expand (g**2 + 2*g**2 + 3*g**2)*(-3*g - 33*g - 210*g). -1476*g**3 Expand -i**2 + 3*i - 3*i + (2*i + 2 - 2)*(-i + 4*i - 2*i) + 1 - 1 - 2*i**2 + 3*i**2 + 4*i**2 - 5*i**2 + 63*i**2 + 44*i**2 - 13*i**2. 95*i**2 Expand (4*y + 0*y - 3*y)*(3374837 - 3374837 + 827*y**2 - y**3). -y**4 + 827*y**3 Expand (-2*x**4 + 2*x**2 + 0*x**4 + 0*x**4)*(468*x + 70*x + 251*x). -1578*x**5 + 1578*x**3 Expand (718 - 73*o**2 - 718)*(0*o**2 + 2*o**2 + 0*o**2 + (-o + 0*o + 2*o)*(3*o - 3*o - o) - 6*o**2 + 16 - 16). 365*o**4 Expand (f**2 + 0*f**2 + 4 - 3)*(236*f**2 + 270*f**2 + 178 - 511*f**2). -5*f**4 + 173*f**2 + 178 Expand r - 5*r + 3*r + (-21*r - 8*r - 29*r)*(2 - 1 + 0). -59*r Expand (-93*x**4 + 6*x**4 - 4*x**4)*(x - x - 5*x). 455*x**5 Expand (-2 + x**4 + 2)*(-66 - 157 + 622) - x**4 + 3 - 3 + (-x**3 + x - x)*(-x + 0*x - x). 400*x**4 Expand -2831*s**4 - s**3 + 22*s**5 + 2831*s**4 + (94*s + 26*s - 29*s)*(2*s**4 + 2*s**4 - 6*s**4). -160*s**5 - s**3 Expand (-6 + 4 + 1)*(2*d**2 - 4*d**2 + 0*d**2) + (-2*d + d + 0*d)*(-3*d + 3*d + d) - 45*d**2 - 16*d**2 - 311*d**2. -371*d**2 Expand (-138 - 135 + 279 + (1 + 1 - 3)*(-1 - 2 + 4))*((-2*c + 4*c - c)*(1 - 3 + 0) + 2*c + c + 0*c). 5*c Expand
{ "pile_set_name": "DM Mathematics" }
1/36*l**4 + 0*l**2 + 0 - l. Suppose o(m) = 0. What is m? 0, 1 Let w be (-42)/(-15) + 2/10. Let q be 0 + (18/3)/w. Factor 5 + 2*c**q + 0*c - 3 - 4*c. 2*(c - 1)**2 Let k = 4 - 2. Suppose k*q - q**2 - 5*q - 2*q**4 + 5*q - 5*q**3 = 0. What is q? -2, -1, 0, 1/2 Suppose r + 3*p = 28, -6*r - 3*p + 80 = -r. Let n = -11 + r. What is k in 22/5*k**n + 8/5*k**3 - 4/5 + 2*k = 0? -2, -1, 1/4 Let d(g) = -g. Suppose 2*v - v = -2. Let l be d(v). Factor 2/3*r**3 - l*r - 4/3 + 0*r**2. 2*(r - 2)*(r + 1)**2/3 Let q(u) be the second derivative of -u**5/20 + u**3/2 + u**2 - 10*u. Factor q(p). -(p - 2)*(p + 1)**2 Factor -10/9*n + n**2 + 1/9. (n - 1)*(9*n - 1)/9 Let r(i) = -2*i**3 - 33*i**2 - 42*i - 23. Let k(h) = -5*h**3 - 65*h**2 - 85*h - 45. Let l(x) = 3*k(x) - 5*r(x). Determine p, given that l(p) = 0. -4, -1 Suppose -5*r + 15 = -2*a + 11, -3*r = -2*a - 4. Solve 3/2*f**3 + r*f - 3/2*f**5 + 0*f**2 + 0*f**4 + 0 = 0 for f. -1, 0, 1 Let q be (-12 - 0/(-1))/(-2). Suppose -4*a - 4*i + 8 = 0, -3*a + q*a - 3*i = 18. Determine h, given that 0*h**2 + 0 + 3/5*h**3 + 0*h + 3/5*h**a = 0. -1, 0 Factor -10/7*n - 12/7 - 2/7*n**2. -2*(n + 2)*(n + 3)/7 Let i(k) be the third derivative of 0*k - 1/105*k**7 - 1/3*k**3 + 0 - 1/168*k**8 + 1/15*k**5 - 1/12*k**4 - 5*k**2 + 1/30*k**6. Find d such that i(d) = 0. -1, 1 Let c(t) be the first derivative of -3*t**4/26 - 4*t**3/39 + t**2/13 - 3. Let c(i) = 0. What is i? -1, 0, 1/3 Let s = -13 - -15. Suppose -14 = -3*v - 3*w + 1, 0 = 5*v + s*w - 16. Factor 1/5*a - 1/5*a**3 + 1/5*a**v - 1/5*a**4 + 0. -a*(a - 1)*(a + 1)**2/5 Let f(u) be the second derivative of u**4/120 + u**3/60 - u**2/10 - 22*u. Factor f(z). (z - 1)*(z + 2)/10 Let a(m) be the third derivative of -m**6/40 + m**5/20 + m**4/4 + 39*m**2. Find y such that a(y) = 0. -1, 0, 2 Suppose 0 = -7*p + 2*p + 10. Suppose 3*k = -3*u - 2 + 23, 0 = 3*u + k - 21. Solve -p + u*z - 1 + 3 + 3*z**3 - 8*z**2 - 2 = 0 for z. 2/3, 1 Let g(a) be the second derivative of -1/3*a**4 - 1/15*a**6 + 0 + 0*a**2 + a + 3/10*a**5 + 0*a**3. Factor g(y). -2*y**2*(y - 2)*(y - 1) Solve 1/4*n**3 - 1/2*n + 0 + 1/4*n**2 = 0. -2, 0, 1 Suppose -v + 3*p + 2 = 0, -3*v + p + 3 + 11 = 0. Let a = -4 - -6. Factor f**2 - a*f**2 - 2*f - v + 4. -(f + 1)**2 Let p(a) be the first derivative of -a**3/3 - 5*a**2 + 2*a + 4. Let z be p(-10). Factor 4/7*m**3 + 2/7*m**4 + 2/7 - 4/7*m**z - 2/7*m**5 - 2/7*m. -2*(m - 1)**3*(m + 1)**2/7 Let v(h) be the third derivative of h**7/840 + h**6/240 + 5*h**4/24 - 6*h**2. Let c(f) be the second derivative of v(f). Suppose c(b) = 0. Calculate b. -1, 0 Let v be 1/(-4)*((-4)/(-42))/(-1). Let l(a) be the second derivative of -v*a**7 - 2/15*a**6 - 3/10*a**5 - 3*a - 1/3*a**4 + 0*a**2 + 0 - 1/6*a**3. Factor l(d). -d*(d + 1)**4 Let u(q) be the first derivative of -q**5/15 - q**4/24 - 2*q**2 - 2. Let a(c) be the second derivative of u(c). What is j in a(j) = 0? -1/4, 0 Let h(w) be the second derivative of w - 1/6*w**4 + 2/3*w**3 - 4/3*w**2 + 1/60*w**5 + 0. Factor h(d). (d - 2)**3/3 Factor 1/2*y**2 - 3/2*y + 1. (y - 2)*(y - 1)/2 Factor 10*g**3 - 2*g - 474*g**2 - 8*g + 479*g**2 - 5*g**4. -5*g*(g - 2)*(g - 1)*(g + 1) Let t be (-10)/(-8) + (-1 + 0)*1. Suppose -1/4*u**2 - 1/4*u**3 + t + 1/4*u = 0. What is u? -1, 1 Suppose -3*z - s = -5 - 4, -9 = -3*z - 5*s. Let z*k**2 + 2*k - 7*k - k - 1 + 4 = 0. Calculate k. 1 Let a(f) = 4*f**4 - 2*f**3 - 9*f**2 + 4*f + 7. Let q(y) = -y**4 + y**3 + 3*y**2 - y - 2. Let p(c) = -4*a(c) - 14*q(c). Factor p(z). -2*z*(z + 1)**3 Let k = 613 - 610. Factor g + 0 + 1/2*g**2 - g**k - 1/2*g**4. -g*(g - 1)*(g + 1)*(g + 2)/2 Let f be (-4)/(7/((-21)/6)). Suppose -b - 41 = p - 6*p, 12 = f*p + 4*b. Factor -2*x + p*x**2 - 14/3*x**3 - 4/3. -2*(x - 1)**2*(7*x + 2)/3 Suppose 0 = -4*i - 12, -5*y - i - i + 4 = 0. Factor 6/5*q**5 - 2/5*q**3 - 4/5*q**4 + 0*q**y + 0 + 0*q. 2*q**3*(q - 1)*(3*q + 1)/5 Let r(n) be the second derivative of 5*n**4/12 - 20*n**3/3 - 14*n. Factor r(x). 5*x*(x - 8) Factor -3*k**3 - 756 + 756 + 2*k + k**2. -k*(k - 1)*(3*k + 2) Let b = 18/7 + -641/252. Let f(k) be the third derivative of 1/18*k**3 + 0*k + 2*k**2 + 0 + b*k**4 + 1/180*k**5. Factor f(q). (q + 1)**2/3 Let v = -13 - -18. Factor 0*j**2 - 4/7*j**3 + 0 + 0*j - 6/7*j**4 - 2/7*j**v. -2*j**3*(j + 1)*(j + 2)/7 Suppose 0 = -3*k + n + 11, -4*k = -0*k + 3*n - 6. Factor 6/11*i**2 - 8/11 + 2/11*i**k + 0*i. 2*(i - 1)*(i + 2)**2/11 Let t(d) be the second derivative of -3*d**5/10 - 19*d**4/6 + 41*d**3/9 - 7*d**2/3 - 10*d. Factor t(n). -2*(n + 7)*(3*n - 1)**2/3 Let d be (-116)/(-10) - (-4)/10. Suppose -12 - 16*u**2 + 16*u**4 - 4*u + 4*u**3 + d = 0. Calculate u. -1, -1/4, 0, 1 Let k = 45/17 - 27/68. Solve 3/4*q - k*q**4 - 27*q**5 + 69/4*q**3 - 27/4*q**2 + 0 = 0. -1, 0, 1/4, 1/3 Let p(a) be the third derivative of -a**7/665 + a**6/570 + a**5/570 + 2*a**2. Solve p(s) = 0. -1/3, 0, 1 Suppose 12*u**4 + 7*u**2 - 13*u**2 + 4*u**5 + 12*u**3 + 10*u**2 = 0. What is u? -1, 0 Suppose 3*t - 24 = 3*i, -6*t - 2*i + 8 = -2*t. Factor -g**3 - 2*g**5 + g**4 - 6*g**2 + g**t + 3*g**5 + 4*g**2. g**2*(g - 1)*(g + 1)*(g + 2) Suppose -5 + 2 + j**3 + 8*j**4 - 9*j**4 + 11*j + 7 + 9*j**2 = 0. What is j? -1, 4 Let l = -1207 + 4831/4. Solve -l*m**3 + 3/2*m**2 + 3/4*m - 3/2 = 0 for m. -1, 1, 2 Let l(o) be the second derivative of -o**7/280 + o**6/80 - o**5/80 - 2*o**2 + 3*o. Let k(x) be the first derivative of l(x). Find h, given that k(h) = 0. 0, 1 Let m(g) be the second derivative of -1/56*g**7 + 3/40*g**5 + 1/8*g**4 + 0 - 3/8*g**2 - 1/40*g**6 - 1/8*g**3 - 3*g. Suppose m(i) = 0. Calculate i. -1, 1 Suppose 4*l = -49 + 17. Let o be l/(-14)*(-49)/(-70). Factor -6/5*u + o*u**2 + 4/5. 2*(u - 2)*(u - 1)/5 Let h(n) be the second derivative of 1/15*n**6 - 1/63*n**7 - 1/10*n**5 + 0*n**2 + 4*n + 0*n**3 + 1/18*n**4 + 0. Let h(o) = 0. What is o? 0, 1 Let y(l) be the first derivative of -l**5/30 - l**4/12 + 2*l**3/3 - 3*l**2/2 + 2. Let v(w) be the second derivative of y(w). Factor v(a). -2*(a - 1)*(a + 2) Factor -45*n**3 + 36*n**4 - 15*n**4 + 1690*n**5 - 1693*n**5 + 27*n**2. -3*n**2*(n - 3)**2*(n - 1) Let i(d) = 3*d**2 + 2*d + 3. Let w(k) = 3*k. Let r be w(1). Let j(u) = u - 1. Let l(c) = r*i(c) + 6*j(c). Solve l(f) = 0 for f. -1, -1/3 Let m(j) = 3*j + 3. Let f be m(-1). Let n(w) be the second derivative of 1/147*w**7 - 2*w + 0*w**2 + 0 - 2/105*w**6 + 0*w**3 + 1/70*w**5 + f*w**4. Factor n(q). 2*q**3*(q - 1)**2/7 Let w be 1/(-7)*224/(-64). Factor 1/4*v + 1/4 + 1/4*v**5 - w*v**3 - 1/2*v**2 + 1/4*v**4. (v - 1)**2*(v + 1)**3/4 Factor -10*f**2 + 9*f**2 - 11*f**2 - 12*f**3 - 4*f**4 - 4*f. -4*f*(f + 1)**3 Let d(i) = -4*i**2 - 8*i. Let q(l) = -l. Let p(t) = d(t) - 8*q(t). Factor p(z). -4*z**2 Let c be 2 + -3 - 3/(-1). Factor -c*i**3 - 4 + 6*i + 0*i**3 + 0. -2*(i - 1)**2*(i + 2) Suppose 0 = -x - 3 + 2. Let t be (0 - 2)/(x/2). Let 3*j**4 + 4*j**4 - 4*j**t + 3 - 6*j**2 = 0. What is j? -1, 1 Suppose 11 + 198 - 25*s + 4*s**2 + 47 - 39*s = 0. Calculate s. 8 Suppose -3*f + 0 + 6 = 0. Solve 2*g**f - 4*g + 3*g - 2*g + 6 - 5*g = 0. 1, 3 Let z(y) be the second derivative of -3*y**5/20 + 7*y**4/4 - 4*y**3 - 24*y**2 - y - 4. Factor z(g). -3*(g - 4)**2*(g + 1) Let m be ((-8)/(-60))/((-16)/25). Let k = 1/72 - m. Determine i, given that -k*i - 2/9*i**2 + 2/9*i**3 + 0 + 2/9*i**4 = 0. -1, 0, 1 Let b(j) = j**3 - 2*j**2 - 10*j + 11. Let d be b(4). Factor 0*n - 2/3*n**2 + 0 - 11/3*n**d - 7/3*n**5 - 16/3*n**4. -n**2*(n + 1)**2*(7*n + 2)/3 Factor j**4 + 79 + 2*j**3 - 9*j - 83 + j - 3*j**2. (j - 2)*(j + 1)**2*(j + 2) Suppose 0 = 2*b - b - 3, -t + 4 = -b. Suppose -3*n + 5*c + t + 2 = 0, n + 4*c - 3 = 0. Suppose 2*h**n + 4*h**2 + 5 + 2*h - 5 = 0. What is h? -1, 0 Let j(m) be the second derivative of 1/4*m**4 + 0*m**2 + 1/30*m**6 - 3/20*m**5 + 0 + 3*m - 1/6*m**3. Factor j(v). v*(v - 1)**3 Let i(r) be the third derivative of 0*r**3 + 1/15*r**5 + 1/60*r**6 + 0 + 3*r**2 + 1/12*r**4 + 0*r. Factor i(c). 2*c*(c + 1)**2 Find g, given that -23*g**3 + 60 - 24*g**2 + 27*g**5 - 4*g + 24*g**4 + 64 - 124 = 0. -1, -2/3, -2/9, 0, 1 Let l be (1/16)/((-45)/(-180)). What is z in l*z**2 + 1/2 + 3/4*z = 0? -2, -1 Let k be (6/4)/(2/4). Let g(i) be the second derivative of 1/54*i**4 + 0*i**2 + 0 + 1/27*i**k - i. Find r such that g(r) = 0. -1, 0 Let n(j) be the first derivative of -j**5/180 - j**4/18 - j**3/6 - 3*j**2 - 2. Let u(h) be
{ "pile_set_name": "DM Mathematics" }
+ 5*n = 274 for u. -66 Solve b - 27 = -414*p + 413*p, b = -p - 3*p + 102 for b. 2 Solve 2*f = 5*j + 79, -39*f + 223 = -85*f - 5*j for f. -3 Solve -1697*j + 1698*j = -u + 5, 0 = 2*j - 427*u + 419 for j. 4 Solve -12*x - 51 = -15*u, 2*u - 5*x = 405 - 388 for u. 1 Solve -4*o + 24 = 16*y, -60*o - 5*y + 230 = o - 23*o + 2 for o. 6 Solve -2146*m + 1233*m = -2*f + 32860, 3*f + 84 = -2*m for m. -36 Solve 4*o = 1431*z - 2866*z + 1437*z + 42, 2*z = -2*o + 18 for z. -1 Solve 18 + 4 = 4*m + d, 458*d - 457*d = 6 for m. 4 Solve -b - 3*b - 13 = v, 16856*v + 13 + 19 = 16858*v + 66*b for v. -17 Solve -667 - 801 = 67*y - 3*k, y + 8*k - 12*k = -14 for y. -22 Solve 10*a - 8*l = -130, -38*a + 69*a + 5*l - 65 = 36*a for a. -13 Solve 6*o - 26 = -4860*j + 4864*j, 4*o - j + 1 = 0 for o. -3 Solve -7*k = 3*z - 183, 7*k + 21*z - 111 = 3*k + 18*z for k. 24 Solve 2*c = q + 5, 138*q - 140*q - 16 = 2*c for c. -1 Solve -15*x + 915 = -5*k, 6*x - 6 = -4*x + 10*x + 2*k for x. 60 Solve -g - 19 = g + 3*s, -5*g - 8*s + 2 = -2*g + 22 + 33 for g. 1 Solve 8*o = 7*f - 27, -6 = -3*f + 649*o - 640*o for f. 5 Solve 3*n + 94 = g, -6017*n + 6013*n - 9*g + 4*g - 100 = 0 for n. -30 Solve 16 = 2*a + 3*q, -89*q + 918 = -a + 141*q for a. 2 Solve 5*w = 5*s + 240, -6*s + 0*s - 280 = 5*w - 47 for s. -43 Solve -6*s + 54 = -4*b, -922*s + 919*s + b + 9 + 4 = -2 for s. 1 Solve 8 = 4*t - 0, -43*f = -84*f + 45*f + 4*t + 12 for f. -5 Solve 3*v + j = -11, -5*v + 5*j - j = -11*j - 16 + 1 for v. -3 Solve -2*a + 16 = 2*w, 5295*a = 5*w + 5285*a + 5 for w. 5 Solve 0 = 4*a - 5*j - 109, -14*j - 616 + 258 = 2*a for a. -4 Solve -3*h + 2178 - 2160 = 4*g, 0 = 2*h + 8*g - 12 for h. 6 Solve 542*g - 541*g - 5 = 2*p + 3, -2*p + 2*g = 10 for p. -3 Solve -35*k - 5 = -31*k + z, 3*z + 2919 - 2969 = -25*k for k. 5 Solve 4*q - 6920*k + 6921*k = 60, 0 = q - 4*k + 2 for q. 14 Solve 0 = -4*c + k + 108, -4*c - 119822*k + 128 = -119818*k for c. 28 Solve -y = -7*d + 3*d + 6, -4*y - 5 - 9 = -11*d for d. 2 Solve -6*g + 3*g - f - 12 = -46, -4*g + 172 = 12*f - 76 for g. 5 Solve -61*n = -3*d - 279, -2*n + 103 = -5*d + 32 - 95 for n. 3 Solve -2*q = v + 123, 0*q - 39 = q + 34744*v - 34739*v for q. -64 Solve -90 = -23*a + 2*z, a + 116 + 121 = 2*z + 239 for a. 4 Solve 4*x - 3*x + 4*f + 0*f = 8*x - 64, x - f - 7 = 0 for x. 12 Solve -2*b + 0*b = -12*f - 34 - 16, -3*f - 4*b = -2*f for f. -4 Solve 2*u + 2*d - 106 = 0, 2*d + 592779 = 23*u + 591460 for u. 57 Solve 20023*m + 10 = 20023*m - 5*f, -17*m - 140 = 2*f for m. -8 Solve 81 = -5*i + 5*j - 9, i - 5*i + 9*i + 150 = 9*j for i. -3 Solve -3*l + w = -5*w + 9*w, 3*w = -2*l - 4 for l. 4 Solve -4*k - 4 - 32 = -w, 12*k - 9*k = -2*w + 17 for w. 16 Solve -154*v = -156*v + 3*h - 4, 2 = -v - 76*h for v. -2 Solve -3*y - f - 31 = 2*y, 0 = -112*y + 112*y + f + 36 for y. 1 Solve -d = -8*a - 11, 99764*d + 19 = 99761*d - 2*a for d. -5 Solve 51741 - 51767 = 2*y + 6*b, -15*y = 3*b + 153 for y. -10 Solve -175 = 467*w - 460*w + 3*d, -3*w + 13*d + 825 = 0 for w. 2 Solve 20*i - 11*i - 15*i - 5*l = 313, -242 = 2*i + 4*l for i. -3 Solve -3937*d + 3940*d + 3*b - 14 = 4*b, 0 = 56*d + 5*b + 70 for d. 0 Solve -3*v - 5*l - 62 = 0, 16709*v + 10*l = 16714*v + 30 for v. -14 Solve 4*z - 2*j + 58 = 0, 12*z - 7 + 211 = -4*j for z. -16 Solve 2*c - 3*v + 23 = 0, 2*c - 5414 = 5*v - 5447 for c. -4 Solve -24*n + 29*n - 121 = -27*y, -y - 3*n + 27 = 0 for y. 3 Solve -2*k + r + 122 - 383 = 12*r, -2*k - 4 = -5*r - 111 for k. -4 Solve -m + 3*m - 2*m + 18 = -3*m + 5*w, -4*w = -6*m for m. 4 Solve 3*k - 2*n + 19 = 8*k - 0*n, -4*k + 29*n - 46 = 0 for k. 3 Solve 3*r - 46 = 10*u, 6933*r - 6931*r - 6*u = -2*u + 36 for r. 22 Solve -17*w + 18*w = -2*k + 42, -9*k = 16*w - 4*k - 645 for w. 40 Solve 46*q - p + 3*p - 380 = 5*p, 11 = -5*q + 5*p + 71 for q. 8 Solve -6 = 2*b - 2*r + 3*r, -5*r - 156 + 168 = -4*b for b. -3 Solve -u + 2*u = 2*p + 6*u + 112, 3*p + 84 = -4*u for p. 4 Solve -72*h + 2*n = -144 + 232, -3*h + 7*n - 35 = 3*n for h. -1 Solve -11*p - 4*p = -19*p - 16, -2*y + 20 = -4*p for y. 2 Solve -k + v = 1, 34*k + 157368 = 3*v + 157489 for k. 4 Solve -7253*t - 2*b + 42 = -7251*t, 5*t - 129 = 3*b for t. 24 Solve -3*m + 13*r + 12*r - 23*r - 2 = 0, -19 = 5*m - 19*r for m. 0 Solve -2*a - 2*v + 6 = 0, -2*a + 290781*v + 16 = 290778*v for a. 5 Solve 132 = -4*q - 4*r, -8*q + r - 127 - 86 = 33 for q. -31 Solve 4*n - 8 = 4*i, 4*n - 5600*i - 5607*i + 11205*i - 7 - 3 = 0 for n. 3 Solve 3*j = 24, j + 2 = 10*m + 6 + 4 for m. 0 Solve -1032*f + 1028*f = 29*y + 762, -3*y = -f + 76 for y. -26 Solve o = -q + 5*q - 49, 1242635*o + q = 1242633*o + 1 for o. -5 Solve 101 = i + 4*j, 0 = 2*i + 15*j + 57 - 441 for i. -3 Solve 773*a - 772*a = 18*x + 68, -4*a - 20 = x for a. -4 Solve -3*m - v - 80 = 0, -m - 1615*v - 36 = -1617*v for m. -28 Solve 2*l + 14 = 2*u, -2*l - 16520 = -16504 for u. -1 Solve p + 744 = -f + 736, p = -17*f + 24 for f. 2 Solve 4*c + 45 = 63*t - 66*t, 121*c + 247*t = 245*t + 149 - 889 for c. -6 Solve -8*i + 38*i - 9*i + 84 = 4*v + 17*i, v + 111*i - 21 = 0 for v. 21 Solve 2*m - 12*g = -20, m - 5*g - 56313 = -56320 for m. 8 Solve 5*a + 16 = 5*d - 214, 4*a - 3 = -5*d + 263 for d. 50 Solve 0 = -4*g + 3*m - 3, -5*m - 124 = g - 106 for g. -3 Solve 2*o + 7 = 5*f, 27130 - 27125 = 3*f - o for f. 3 Solve 14*v - 11*v = 0, 10*o + 3*v - v = -0*o + 264 + 126 for o. 39 Solve -4*x - 235*f + 212*f - 1 = 32, 0 = 4*x + 2*f - 7*f - 51 for x. 9 Solve 4*o - 6501*t + 14 = -6498*t, 0 = -2*o + 2*t - 12 for o. 4 Solve -3*z = 5*n, -38534*z - 4*n = -38529*z + 26 for z. -10 Solve -199 = -3*a - a - 5*t + 209 - 397, -9 = -3*a - 4*t for a. -1 Solve -2*z + 5*z = 5*b + 9, 7*b + 12*z - 4 - 32 = b for b. 0 Solve 2*d + 2163 = -5*l + 2314, 4*l - 126 = d for l. 31 Solve -92 = 5*o - 2074*m + 2075*m, 7*m = 5*o + 116 for o. -19 Solve -23*n = -2*f + 166 - 139 - 133, 5*f + 0*f + 35 - 8 = -2*n for f. -7 Solve 90*q = 95*q - 4*r + 48, 2*q + 1 = -r - 0*r for q. -4 Solve -539*u = -4*d - 536*u - 11, -58*d - 2*u = 114 for d. -2 Solve 2 = 5*p - 2*j, -5*p = -10505*j + 10495*j + 30 for p. 2 Solve -44*f - 14*f = 7*f - 4*u + 89, -2*f - 2*u + 10 = 0 for f. -1 Solve -a - 14 = -6 - 3, -30*n = -79*n + 2*a + a - 426 for n. -9 Solve -1257*f - 1253*f + 67 = -2509*f - 16*j, -f - 2*j = 4*f - 0*j - 7 for f. 3 Solve 0 = -3*p - 4*t + 20, -5*p + 0*t - 2530337 = 4*t - 2530349 for p. -4 Solve -6*p = 99*q - 100*q - 24, 3*p = -8*q - 39 for q. -6 Solve -201*z + 202*z = 2*a + 25, -2*z + 59 = -a for a. 3 Solve 265*l + 59 - 207 = 261*l - 5*a, 90 = 3*l + 3*a for l. 2 Solve -5*s = -2*k + 128, 11*k + 47680 - 47752 = -k + s for k. 4 Solve 6*x + 7*x - 3*o - 189 + 105 = 0, -4*o = x + 2 for x. 6 Solve -15*k - 166 = -5*h - 41, 4*h + 1953*k = 1952*k - 4 for h. 1 Solve 22*f - 29183 = -4*u - 28663, 0 = -2*u + 2*f - 52 for u. -2 Solve -16*l = t + 78, -96*l + 95*l - 6 - 7 = -4*t for t. 2 Solve -3*n - q + 2 = -8*n + 10*n + 12, -12*n - 5*q - 37 = 0 for n. -1 Solve -6*i + 2*i + 243308*w - 13 = 243303*w, 2*w = 10 for i. 3 Solve -3*c + 2137 = 2149, 3*c + 7 = -a - 2*c + 2*c for a. 5 Solve -4*f - 59*j = -46*j - 186, 0 = -2*f + 2*j - 4*j + 30 for f. 1 Solve 21 = -5*j - 3*l, 389065*l + 153 = -4*j + 389108*l for j. -6 Solve 12*o - 71*w + 72*w = -16, 3*o - 3*w + 69 = 0 for o. -3 Solve 0 = 2*j + 2*l + 2, -7*j = -26*j + j + 4*l - 128 for j. -6 Solve -39*z - 9 - 33 = -3, 0 = g + 5*z - 15 for g. 20 Solve 14*u - 4*v = 10*u - 0*u + 7*u - 4, -2*v = -2 for u. 0 Solve -c + 7*d + 63 = 9*d, 0 = 18*c - 14*c - d - 252 for c. 63 Solve -88895 = 6*o - 4*p - 88821, -4*o = 4*p - 104 for o. 3 Solve -2*f + 2*i = 14, -324*i - 312*i + 638*i = 22 for f. 4 Solve 3*m - 18 = 0, -2*d - 450470 + 450482 = 2*m for d. 0 Solve 23 + 23 = 2*c + 5*x, 3*c = 28*c - 5*x + 37 + 63 for c. -2 Solve -3*i - 52 = 10*f, -4*f = -20*i + 16*i - 3 + 4 - 1 for f. -4 Solve 5*t + 3*w = 94, 83*t = 46*t + 34*t - 5*w + 130 for t. 5 Solve 13*j = 60*j + 3*r + 100, -2*j + r - 4*r - 10 = 0 for j. -2 Solve 14644 - 14680 = 4*u - 5*q, 37*u + 1172 = -255*u + q for u. -4 Solve 0 = y + 13*a - 12*a - 25, 2*a = -25*y + 602 for y. 24 Solve -3*i = -3*g, 32*i - 35*i + 35 = 4*g for i. 5 Solve -78*h + 15 = q - 79*h, 2*q + 45 = -12*q - h for q. -2 Solve 28*h + 353 = -41*o - 2*o, 3*h - h - 3*o = 2*o + 121 - 122 for h. -8 Solve 1604*x + 2*t = 1637*x - 1221, -4*x = 4*t - 148 for x. 37 Solve 19*u - 8*u = -3*r - 174, 3*u + 6
{ "pile_set_name": "DM Mathematics" }
f - 19/10*f**5. Differentiate j(m) wrt m. -114*m**2 Let t(g) be the second derivative of 27*g**5/20 - 7*g**4/6 - 3*g - 10. Find the third derivative of t(o) wrt o. 162 Find the second derivative of -63*v**2 - 4*v**3 + 2*v**3 - 14*v - 109*v - 63*v + 3*v**3 wrt v. 6*v - 126 Let z(k) be the third derivative of -k**7/210 - 3*k**6/4 - k**5/60 + k**4/2 - 10*k**2 - 7. What is the third derivative of z(s) wrt s? -24*s - 540 Suppose 8*r = 15*r - 14. Differentiate r*m**3 + 15 - 2*m**3 + 3 + 12*m**4 with respect to m. 48*m**3 Let v(j) be the second derivative of 19*j**6/30 + j**5/5 + 29*j**4/6 + 3*j + 15. Find the third derivative of v(k) wrt k. 456*k + 24 Let v(h) be the first derivative of 182*h**3/3 + 55*h**2/2 + h - 55. Find the second derivative of v(w) wrt w. 364 Let i = 2 - 0. Suppose -53 = -4*o + d, -4*d - 30 = o - 4*o. Find the first derivative of 14*r - o*r + r**i - 1 wrt r. 2*r Let j(n) be the second derivative of 101*n**5/10 + 40*n**4/3 - n**2/2 - 203*n + 1. Find the third derivative of j(i) wrt i. 1212 Let l(r) = 11*r**4 + 5*r**2 - 4*r - 51. Let y(b) = 7*b**4 + 3*b**2 - 3*b - 34. Let z(c) = 5*l(c) - 8*y(c). Find the second derivative of z(n) wrt n. -12*n**2 + 2 What is the second derivative of 183*t + 5*t**2 + 339*t**3 - 5*t**2 + 63*t**3 wrt t? 2412*t Let m(s) = -2*s - 1. Suppose -2*r - 9 = 11. Let w be m(r). What is the third derivative of -i**2 + w - 19 - 5*i**3 wrt i? -30 Let c(o) = o**2 + o - 7. Let k be c(-4). Let p(v) be the first derivative of v - k - 3/2*v**2. Differentiate p(t) wrt t. -3 What is the second derivative of -7 + 5*j - 301*j**4 - 296*j**4 + 46*j**3 + 595*j**4 wrt j? -24*j**2 + 276*j Suppose 6*k - 3*k = 177. What is the derivative of 59*j - 22*j**4 - 14 - k*j wrt j? -88*j**3 Let y(z) be the third derivative of -11*z**9/72 + 41*z**5/60 + 15*z**2 + 2. What is the third derivative of y(f) wrt f? -9240*f**3 Let c(g) = -g**3 - 4*g**2 - 3*g - 5. Let i be c(-4). What is the first derivative of 14*x**2 - 5*x + 12*x - i*x + 18 wrt x? 28*x What is the third derivative of 2 + 249*v**3 + 3233*v**2 + 34*v - 2 - 3232*v**2 wrt v? 1494 Let i be -6*(-1)/((-12)/(-8)). Suppose -6*l + 3*l + 5*d + 6 = 0, i*l = -3*d + 8. Find the second derivative of 4*q**4 - 3*q - 3*q**4 - l*q wrt q. 12*q**2 Let d be 11/2 - 6/12. Let v(b) = 40*b**2 - 7*b - 5. Let j(y) = 39*y**2 - 7*y - 4. Let u(z) = d*j(z) - 4*v(z). Find the second derivative of u(r) wrt r. 70 Find the second derivative of -385*w**5 - 2147*w + 3004*w - 471*w**5 wrt w. -17120*w**3 Let r(u) be the third derivative of -17*u**7/210 + u**6/120 + 47*u**5/15 - 15*u**2 + u. Find the third derivative of r(l) wrt l. -408*l + 6 Suppose 75 = 5*r + 5. Differentiate -4*b**4 - r - 2*b**4 - 6*b**4 with respect to b. -48*b**3 Let g(h) be the third derivative of -47*h**6/30 + 31*h**4/6 - h**3/2 - 965*h**2. Find the second derivative of g(d) wrt d. -1128*d Differentiate -5*l**2 - 241 + 43*l**2 - l**3 - 9 wrt l. -3*l**2 + 76*l Let f(b) be the first derivative of -2*b + 0*b**3 - 3/2*b**2 - 1/6*b**4 + 2. Let j(q) be the first derivative of f(q). Differentiate j(z) wrt z. -4*z Let q(r) = 7 + 2 - 2 - 6 + r. Let v be q(1). Find the second derivative of 0*h + 4*h - 6*h**v + 2*h wrt h. -12 Find the second derivative of -645*o**3 - 32 - 35 - 23 - 3*o + 6*o + 8 wrt o. -3870*o Let g be 4 - (4/(-4) + 5). Suppose g*y + y - 34 = 0. Find the third derivative of -2*l**2 + 14*l**2 + 45*l**3 - 2*l**2 - y*l**3 wrt l. 66 Let y(a) = a**3 - 7*a**2 + a - 4. Let k be y(7). Let h be (120/210)/(2/7). Find the third derivative of -x**3 + h*x**2 + 9*x**k + 9*x**2 + x**3 wrt x. 54 Let m(j) be the first derivative of 3*j**4/4 + 2*j**3 - j**2/2 + 8*j + 73. Find the second derivative of m(w) wrt w. 18*w + 12 Let b(h) = -40*h**4 + 15*h**2 - 4*h + 69. Let u(a) = -20*a**4 + 7*a**2 - 3*a + 34. Let l(s) = -3*b(s) + 5*u(s). Find the second derivative of l(r) wrt r. 240*r**2 - 20 Differentiate 77 - 163 - 381*k - 3*k - 246 - 206*k with respect to k. -590 Let a(g) be the third derivative of -3*g**2 + 0*g**3 + 0 - 5/12*g**4 + 2/15*g**5 + 0*g. Find the second derivative of a(w) wrt w. 16 Let j(x) = 8*x**3 - x**2 + x - 1. Let b(w) = 120*w**3 - 17*w**2 - 17*w + 5. Let c(f) = b(f) + 5*j(f). Find the third derivative of c(k) wrt k. 960 Suppose -7*k - 36 = -10*k. Find the second derivative of -4*l**3 + 4*l + 0 - k*l + 0 wrt l. -24*l Let l(c) be the second derivative of 97*c**4/6 + 100*c**2 - 11*c - 3. Find the first derivative of l(w) wrt w. 388*w What is the third derivative of 2 - 352*c**3 + 33*c**3 + 86*c**2 - 221*c**2 wrt c? -1914 Let k(q) = 164*q**2 + 7*q - 88. Let r(h) = -162*h**2 - 9*h + 87. Let f(i) = 4*k(i) + 3*r(i). Find the second derivative of f(p) wrt p. 340 Let b(u) = u**2 - 2*u + 5. Let x be b(2). Find the second derivative of n + 2*n + 11*n**x - 6*n - 6*n wrt n. 220*n**3 Let a(l) = 233*l**3 + 20*l**2 + 1908*l - 17. Let n(s) = -78*s**3 - 7*s**2 - 636*s + 6. Let f(d) = -6*a(d) - 17*n(d). Find the second derivative of f(o) wrt o. -432*o - 2 What is the second derivative of 2*m - 461*m**4 + 26 + 88 + 457*m**4 - 19*m**3 wrt m? -48*m**2 - 114*m Let b(q) = 57*q**4 - q**3 + 8*q**2 + 4*q - 102. Let n(x) = -x**3 + 2*x**2 + x + 1. Let i(t) = -b(t) + 4*n(t). Differentiate i(l) with respect to l. -228*l**3 - 9*l**2 Let n(s) be the second derivative of s**8/21 + s**5/60 - 15*s**2/2 + 10*s. Let i(o) be the first derivative of n(o). What is the third derivative of i(c) wrt c? 960*c**2 Let t(n) be the first derivative of n**10/1008 - n**6/45 - 4*n**3 - 13. Let g(s) be the third derivative of t(s). What is the third derivative of g(m) wrt m? 600*m**3 Let j(m) = 59*m - 45. Let k(n) = -118*n + 91. Let w(o) = 5*j(o) + 3*k(o). What is the derivative of w(v) wrt v? -59 Let j(g) = 20*g**4 - 4*g**2 + 8*g. Let t = -26 + 31. Let d(p) = 19*p**4 - 5*p**2 + 9*p. Let c(v) = t*j(v) - 4*d(v). Find the second derivative of c(k) wrt k. 288*k**2 Let l(o) = 120*o**2 + 14*o + 3. Let r(z) = 61*z**2 + 7*z + 1. Let a(h) = 3*l(h) - 5*r(h). What is the second derivative of a(v) wrt v? 110 Find the third derivative of 184*v**3 - 345*v**3 - 327*v**3 - 14 + 9*v**2 - 6*v**2 + 12*v**2 wrt v. -2928 Let k = -43 + 47. Differentiate k + 0 + 5 + 121*l - 124*l wrt l. -3 Suppose 0*v = 4*v - 3*k - 8, 10 = 5*v - 2*k. What is the third derivative of -198*u**v + 392*u**2 - 205*u**2 - 21*u**6 wrt u? -2520*u**3 Let f(g) be the first derivative of 169*g**6/3 + 34*g**2 - 123. Find the second derivative of f(r) wrt r. 6760*r**3 Let n(v) = -4*v - 8*v - 7 + 6*v**2 + 25 + 9*v**2. Let x(i) = -i**2 + i - 1. Let y(p) = -n(p) - 18*x(p). Find the second derivative of y(d) wrt d. 6 Let x(q) = 3*q. Let l(b) = -96*b - 302. Let y(u) = -l(u) + 3*x(u). Find the first derivative of y(h) wrt h. 105 Let n = -19 - -22. What is the third derivative of -2*w**2 + 8*w**n - 6*w**2 - 7*w**3 wrt w? 6 What is the second derivative of 15 + 110*q**3 - 108*q**3 - 2*q + 14 + 21 wrt q? 12*q Find the second derivative of 65*l**2 + 72*l - 35*l**2 + 57*l**5 - 30*l**2 wrt l. 1140*l**3 Let d be (1 + -1)*11/22. Suppose -5*t - 6 + 16 = d. Find the third derivative of 2*w**t - 2*w**3 - 2*w**3 + 8*w**2 wrt w. -24 Let m(h) = -50*h**2 + 4*h + 23. Let y(s) = 99*s**2 - 9*s - 45. Let x(c) = 7*m(c) + 3*y(c). Find the second derivative of x(k) wrt k. -106 Let y(t) = -t**5 + t**3 - t**2 + t + 1. Let k(b) = -80*b**5 + 2*b**3 - 45*b**2 + 2*b + 2. Let l(s) = -k(s) + 2*y(s). What is the third derivative of l(v) wrt v? 4680*v**2 Let l(n) be the first derivative of -391*n**2/2 + 497*n - 445. Differentiate l(a) wrt a. -391 Let l(g) be the first derivative of 0*g**2 + 0*g**4 + 3 - 6/5*g**5 - 7/3*g**3 + 0*g. Find the third derivative of l(k) wrt k. -144*k Let u(b) = b**3 + b**2 + b - 2. Let r(s) = 170*s**3 - 8*s**2 - 8*s - 24. Let q(x) = -r(x) - 8*u(x). What is the first derivative of q(p) wrt p? -534*p**2 Let z(h) be the first derivative of 11*h**7/210 - h**5/10 + 5*h**2 - 5. Let q(i) be the second derivative of z(i). What is the third derivative of q(u) wrt u? 264*u Let x(j) = -350*j**2 + 11*j + 1090. Let v(g) = -175*g**2 + 6*g + 544. Let y(b) = -11*v(b) + 6*x(b). Differentiate y(d) wrt d. -350*d Let n(a) = a**2 + a + 3. Let x(v) = -304*v**2 + 332*v + 60. Let t(j) = 20*n(j) - x(j). What is the second derivative of t(p) wrt p? 648 Let h = 56 + -9. Let t(k
{ "pile_set_name": "DM Mathematics" }
rue Suppose 15 + 0 = 3*m. Suppose q - 14 + 0 = 2*i, -40 = -m*q + 4*i. Is 9 a factor of (4/6)/(q/54)? True Suppose -4*o + 0*o + 2*q = -4, o = -2*q - 4. Suppose -4*z + 153 + 7 = o. Is (28/8)/(1/z) a multiple of 35? True Let z = 4291 + -1221. Does 66 divide z? False Let c(r) = -7*r - 5*r + 8 - 6*r - r**2. Let f be c(-12). Suppose 5*l = -5*w + 170, -4*w + 2*w - 5*l + f = 0. Does 11 divide w? False Suppose -k + 79 - 9 = 5*c, -5*k - 40 = -c. Suppose u + 56 = -3*n + 149, c = 5*u. Does 10 divide n? True Suppose 0 = -80*v + 73*v + 10115. Is v a multiple of 85? True Let d = 14139 + -8243. Is 67 a factor of d? True Let h(t) = -2*t**2 + 4*t - 2. Let r be h(-4). Let d = -34 - r. Is d a multiple of 16? True Suppose 0 = 21*d + 16*d - 22496. Does 76 divide d? True Let t = -686 + 2618. Does 12 divide t? True Suppose -2*s + 1775 = 3*s. Suppose -2*a = -7*a + s. Suppose -5*g + a = -64. Is 22 a factor of g? False Let t(n) = 68*n**2 - 2. Is 33 a factor of t(-1)? True Let f(b) be the third derivative of b**5/20 + b**4/6 - b**3/2 - b**2. Let s be -4*4/(-2) + 0 + -2. Does 20 divide f(s)? False Suppose 35 = -3*f + 4*m - 48, 3*f + 71 = -2*m. Is ((-45)/(-10) - 4) + f/(-2) a multiple of 13? True Let y = 7 - -4. Let m be 94/517 + (-766)/(-22). Let n = y + m. Is n a multiple of 23? True Let n(j) = -j**3 - 11*j**2 + 25*j + 169. Is 26 a factor of n(-13)? True Suppose 1089 = 9*d + 2*d. Let w = 109 - d. Does 7 divide w? False Suppose 5*s = -54 - 161. Let r = s - -88. Is 6 a factor of r? False Suppose 5*n - 905 = -4*t, -5*t + 3*t = -n - 449. Is t a multiple of 5? True Does 62 divide 84325/40 - ((-42)/48 + 1)? True Suppose -43*w = -63*w + 51840. Does 24 divide w? True Let z = 106 - -84. Let v = z + -116. Is 29 a factor of v? False Suppose 0 = 3*f - 3*j - 1863, -2*f + 574 = 5*j - 647. Is f a multiple of 33? False Let n be 4/(-3) + (-10)/(-3). Suppose -3*z + n*z + 14 = 0. Is z even? True Let q be 2 + -3 + -1 - -269. Suppose -2*z + 332 = 4*v, 0*z + 3*z + q = 3*v. Is 11 a factor of v? False Suppose 2*w + f - 9 = 0, 3*w - 3*f - 15 = -6*f. Suppose -4*c + w*y - 8 = 0, 4*c - y = -22 + 8. Let o(g) = -9*g - 10. Is o(c) a multiple of 13? True Let d be -18*(-4)/4 + 1. Let z = -69 + 99. Let b = z - d. Is 10 a factor of b? False Let n(f) = 42*f - 24. Let i be n(9). Suppose -3*u + i = -u. Is u a multiple of 33? False Suppose -3*a + 10 = -t, 4*a = -a - 4*t + 11. Suppose -3*o - 57 = 3*u, -5*u = -a*o + o + 60. Let n = u - -20. Does 6 divide n? True Let x = 907 - 574. Suppose 9*q - x = -63. Does 3 divide q? True Let i be (-2476)/(-36) + 4/18. Let j = -15 + i. Is j a multiple of 18? True Let b(m) = 7*m**2 - 22*m - 15. Let x be b(-10). Suppose -4*k + x = k. Does 31 divide k? False Let c(d) = -d - 2. Let a be c(-3). Suppose -s - 2 + 1 = 3*w, 52 = 3*s - 2*w. Suppose -k + s + a = 0. Is k a multiple of 11? False Let z(t) = t**3 + 18*t**2 + t + 14. Is 21 a factor of z(-17)? False Suppose 0 = 5*q - 1142 + 262. Is 16 a factor of q? True Let a be (-5 - 76)*(-17)/3. Suppose 6*v - 15*v + a = 0. Is v a multiple of 17? True Is (2/4)/(5 - (-7979)/(-1596)) a multiple of 19? True Let v be (1 - 5)*38/76. Let t(i) = -i. Let a be t(-2). Does 6 divide a*2*(-11)/v? False Let n(m) = m**3 + 7*m**2 + 9*m + 3. Let x be n(-6). Let s = x - -31. Does 4 divide s? True Suppose -2*v - 2*d = -8, -3*d + 8*d - 14 = -4*v. Is (-434)/21*v/(-4) a multiple of 5? False Let s = 450 - 92. Does 44 divide s? False Let q(h) = 0*h**2 - 3*h**2 + 3 + 8*h + h**3 - 6*h**2. Let o be q(8). Does 14 divide 126/o*(-3)/(-9)? True Let q(g) = 2*g - 2. Let x be q(4). Let a(k) = -2*k**2 + 2*k + 5. Let c be a(x). Let p = c - -104. Does 10 divide p? False Let x(w) = 56*w**2 + 4*w - 4. Is x(3) a multiple of 32? True Suppose 5*m - 1104 - 266 = 0. Suppose 12*g + m = 14*g. Does 21 divide g? False Suppose -4*y + 9 = 3*c - y, -5*c = -3*y - 15. Let t be (-1*27 - c)*1. Does 11 divide 10/t + 34/3? True Suppose 3*a - 342 = -3*f, 3*f + 2*a - 342 = -2*a. Suppose 5*k - 115 = -4*i + f, 3*i + k - 169 = 0. Does 12 divide i? False Let m = -25 + 36. Suppose -4*h - 3*n + m = 0, -h - 4*n - 7 = -0*n. Suppose -h*p + 2*l = -68, p - 4 = -2*l - 0. Is 6 a factor of p? True Let h(g) = g**3 - 6*g**2 + 6*g + 2. Let b(n) = 2*n**3 - 11*n**2 + 11*n + 5. Let p(i) = 2*b(i) - 5*h(i). Is 9 a factor of p(6)? False Let q = -27 + 28. Let b = q - -7. Is 4 a factor of b? True Suppose 362 = 3*j - 0*j - 2*b, -4*j + 482 = -2*b. Let x = -163 - -166. Suppose -j = -5*n + 5*v, -x*v = -4*n - 8*v + 123. Does 9 divide n? True Suppose -4 = -8*u + 68. Suppose c - 203 = -u. Is 35 a factor of c? False Suppose -92 = -4*d + 1732. Does 57 divide d? True Let s = -9 - -9. Suppose s = -g + 5*g. Is g/1 + (2 - -8) a multiple of 10? True Let t(l) = -l**2 + l + 14*l**2 - 10 + 0*l. Does 19 divide t(-3)? False Suppose 5*k = 3*u - 63, -2*u + 27 = k - 28. Let g = 315 - 211. Let l = g - u. Is 24 a factor of l? False Let o be -4*74/(-8)*1. Let g = o - 11. Does 5 divide g? False Let o be 3/2 + 10/4. Suppose o*p - 171 = p. Does 19 divide p? True Let z(g) = -47*g - 3. Let f be z(-2). Suppose 0*v + 5*v - 144 = r, f = 3*v + 4*r. Does 3 divide v? False Suppose 0 = 5*b - 15, -5*b + 1 = -a - 7. Let w(v) = -v**3 + 10*v**2 - 4*v + 5. Does 31 divide w(a)? True Suppose 4*s - 2*j + 5*j - 943 = 0, j - 1165 = -5*s. Suppose 76 = 2*x - 0*o + 5*o, 2*o - s = -5*x. Is x a multiple of 12? True Let o = 4 + -6. Does 12 divide ((-143)/(-22))/(o/8*-2)? False Suppose 1716 = 5*u - u - 5*n, 2*u + 2*n = 876. Suppose 2*y - 11 - 5 = 0. Suppose l = y*l - u. Is l a multiple of 31? True Let m(k) = k**3 + 15*k**2 + k - 19. Is 6 a factor of m(-13)? True Let w = -2552 + 3844. Is w a multiple of 76? True Is 25 a factor of (11154/110)/(12/(-15) + 1)? False Suppose 3*g - 140 = -2*c, 4*c = c - 5*g + 212. Let x = -100 + c. Does 5 divide x/(2 - 14/4)? False Suppose -s + 463 = -2*p, 2*p = 3*s - 0*s - 1377. Does 13 divide s? False Let r(n) = n**3 + 3*n**2 - 4. Let s(u) = -3*u**2 + 1. Let c be s(1). Let m be r(c). Suppose -2*o + 15 + 39 = m. Is o a multiple of 18? False Suppose 2*h + 109 = y, 10 + 210 = 2*y - 5*h. Does 34 divide y? False Let j be 1/4*(4 + 4). Does 20 divide (-1 + (-13)/j)*-16? True Let x be 2/6*84/7. Suppose -x*z - 3*h + 12 = -z, 5*z - 14 = -2*h. Is 4 a factor of -2*(z + (-63)/6)? False Suppose -2*n + 16 = 4*g, -6*n + n - 2*g + 24 = 0. Let d be -2 - (1 - 8)*24/14. Let x = d + n. Is 14 a factor of x? True Suppose -y - t = 2*y - 5403, -4*y - 5*t + 7215 = 0. Does 24 divide y? True Suppose 3*b - 1083 = 4*s + 3613, 5*b - 7796 = -s. Does 40 divide b? True Let c be (-24)/40 - (-26)/10. Let x be (c/(-2))/((-1)/(-2)). Does 15 divide 4811/85 + x/(-5)? False Let k = 4 + -4. Suppose -j - 2*j - 6 = k. Is 3 a factor of 0/(-13) - 18/j? True Suppose -5*t - 6*w = -5*w - 724, 4*t = w + 572. Does 5 divide t? False Let o = -112 - -332. Is 44 a factor of o? True Let m(a) = -a**3 + a**2 - 3*a - 4. Let x be m(3). Is 17 a factor of (x/(-4))/(8/64)? False Is 13 a factor of (26/(-1))/(6/(-126))? True Suppose 0 = 5*c + 6*b - 2*b - 172, -3*c = -2*b - 112. Let f = -19 + c. Suppose 4*x - f = -5*q + 40, 0 = -4*x - 4*q + 52. Is x a multiple of 4? True Let t(c) = 0*c + 14 + 3*c**2 - c**3 - 12*c + 10*c**2. Suppose 0*k - 5*m - 22 = -k, -k + 3*m + 18 = 0. Is 14 a factor of t(k)? True Let x = 4 - -1049. Is x a multiple of 85? False Let k be ((-1)/(-2))/(8/16). Let z = 95 + k. Is z a multiple of 16? True Let t be 40/50 + (-82)/(-10). Suppose t*v - 12*v + 42 = 0. Does 7 divide v? True Let n be (648/16)/(1/4). Let f = n - 81. Suppose -2*c = 3*w - 3 - 129, -c - f = -2*w. Does 21 divide w? True Let h(v) = -16*v**3 + 4*v - 4. Let j(s) = 49*s**3 - 13*s + 13. Let l(o) = -14*h(o) - 4*j(o). Is 21 a factor of l(2)? False Let o = -81 + 85. Suppose v + 2*y = 21, o*v - 32 = 2*y + 3*y. Is v a multiple of 13? True Let b(v) = 6*v**2 + 5 - 4 + 0 + v. Let t = 55 - 56. Is 6 a factor of b(t)? True Let q(k) = -6*k**2 + 3*k + 3. Let v be q(-2). Let m(j) = -2*j + 51. Does 35 divide m(v)? True Let k(g) = -g**2 + 11*g - 8. Let w be k(10). Let c(p) = 6 + 2*p - p**2 + 0*p**w - 3*p. Is c(0) a multiple of 3? True Suppose 3*l + 2*i = -119, -5*l - 165 = i - 6*i. Let o = l + 82. Is o a multiple of 15? True Is (78 - 2)*(-1036)/(-56) a multiple of 37? True Let m = 1660 + -1582. Is 6 a factor of m? True Let h(o) = -17*o - 6.
{ "pile_set_name": "DM Mathematics" }
**2 + 151 Let b(i) = 9*i**3 - 7*i**2 + 3*i + 7. Let n(s) = -4*s**3 + 3*s**2 - s - 3. Let w(v) = -3*b(v) - 7*n(v). Let m(x) = -3*x**3 + 5*x. Determine -2*m(k) - 5*w(k). k**3 Let l(u) = -11*u - 268. Let n(j) = -6*j. Calculate l(r) - 2*n(r). r - 268 Let w(y) = -12*y**3 - 21*y**2. Let i(c) = -3*c**3 - 5*c**2. Let q = -15 - -20. Give q*w(h) - 21*i(h). 3*h**3 Let x(d) be the third derivative of d**6/60 - d**5/20 - 5*d**4/24 - d**3/2 - 19*d**2. Let b(g) = 3*g**3 - 5*g**2 - 9*g - 7. What is -3*b(k) + 5*x(k)? k**3 + 2*k + 6 Let u(a) = a**2 - a - 2. Let y(m) = m**2 + 2*m + 4. Determine -6*u(q) - 3*y(q). -9*q**2 Let x(d) = -65*d**3 + 35*d**2 - 35*d - 35. Let z(k) = 7*k**3 - 4*k**2 + 4*k + 4. What is -4*x(j) - 35*z(j)? 15*j**3 Let q(w) = -207*w**3 + 3*w + 3. Let u(k) = 16354*k**3 - 238*k - 238. Calculate 476*q(a) + 6*u(a). -408*a**3 Let h(n) be the first derivative of 3*n**4/4 + 8*n**3/3 + 153. Let i(t) = t**3. Calculate h(q) - i(q). 2*q**3 + 8*q**2 Let k(d) be the first derivative of -19*d**4/4 - 2*d**3 + 3*d**2 + 6*d + 479. Let u(h) = 286*h**3 + 91*h**2 - 91*h - 91. Calculate 91*k(f) + 6*u(f). -13*f**3 Let s(v) = -34*v - 10. Let c(b) = 69*b + 22. What is -4*c(d) - 9*s(d)? 30*d + 2 Let c(z) = -32*z**3 + 8*z**2 - z. Let n(u) = -u**3 - 2*u**2 + u. What is -c(m) - 4*n(m)? 36*m**3 - 3*m Let r(q) = 1. Let m(u) = -2*u - 5. Let s(p) = -2*m(p) - 6*r(p). Let v(j) = -j**3 - 12*j**2 - 3*j - 35. Let i be v(-12). Let d(k) = k + 1. Give i*s(t) - 5*d(t). -t - 1 Let d(c) be the first derivative of 5*c**2 - 9*c + 2. Let o(v) be the second derivative of 3/2*v**3 + 0 - 4*v**2 - v. Give 6*d(q) - 7*o(q). -3*q + 2 Let y(x) = x - 1 + 5 - 4 + 2. Suppose 0 = 8*b - 7*b + 3. Let j(h) = -h - 2. Give b*y(o) - 4*j(o). o + 2 Let l = -963 + 958. Let w(h) = 2*h - 6. Let u(i) = -3*i + 7. Give l*u(z) - 6*w(z). 3*z + 1 Suppose -4*z - 2*o + 73 = z, -4*o = -z + 19. Let q(j) = z - 6 - j - 8 - 3. Let x(m) = 12*m + 27. What is -27*q(f) - 2*x(f)? 3*f Let s(z) = 191*z**3 + 2*z + 8. Let l(n) = -9933*n**3 - 105*n - 420. Give 6*l(w) + 315*s(w). 567*w**3 Let j(z) = 5*z**2 - 5*z + 5. Let t be (-14)/(-49) - 111/21. Let w(m) = 2*m**3 + 3*m**2 + 2*m**3 + 3*m**2 - 6*m + 6 - 3*m**3. Give t*w(f) + 6*j(f). -5*f**3 Let x(l) = 2*l - 8. Let h(r) = 2*r - 9. Suppose 0 = -2*w + 3*j - 3, w = -j + 19 - 23. What is w*x(s) + 4*h(s)? 2*s - 12 Let l = 2357 + -2358. Let s(g) = -9*g**2 + 2*g. Let d(c) = c. Determine l*s(a) + d(a). 9*a**2 - a Let o = 8 - 3. Let v be 2 + 2 + -6 + o. Let g(b) = -2 + 2*b + 11*b**2 - 8*b**2 + 0. Let k(t) = 4*t**2 + 3*t - 3. Determine v*g(a) - 2*k(a). a**2 Let y(n) = -4*n - 5. Suppose 10*h - h - 108 = 0. Let d(z) = 2*z - 12 - h*z + 0*z. What is 5*d(o) - 12*y(o)? -2*o Let l(o) = 6*o - 3. Let v(n) = n + 1. Determine -2*l(j) + 10*v(j). -2*j + 16 Let v(y) = -y**2 + 2*y + 2. Let j(g) = -2 - 40*g**3 - 41*g**3 - 5*g + 80*g**3 - 3 + 2*g**2. Suppose -4*t + 5 = -3. Calculate t*j(d) + 5*v(d). -2*d**3 - d**2 Let z(f) = 5*f**3 + 11*f**2 + 3*f + 13. Let u(k) = 4*k**3 + 9*k**2 + 2*k + 11. Calculate -3*u(q) + 2*z(q). -2*q**3 - 5*q**2 - 7 Let m(z) = 10*z**2 - 6*z + 21. Let a(s) = 9*s**2 - 6*s + 20. Let f(x) = -6*a(x) + 5*m(x). Let i(k) = 2*k**2 - 3*k + 7. What is 6*f(r) + 13*i(r)? 2*r**2 - 3*r + 1 Let y(w) = w. Let f(v) = 7*v - 4. Let n = -361 + 362. Calculate n*f(g) - 6*y(g). g - 4 Let d(m) = 12*m**2 + 13*m + 10. Let n(j) = 4*j**2 + 6*j + 3. Give 2*d(z) - 7*n(z). -4*z**2 - 16*z - 1 Let z(p) = -1 - 1 + 2 + p - 1. Let h(f) = -f**2 - 6*f + 4. Let g(q) = -h(q) - 5*z(q). Let w(r) = 4*r**2 + 5*r + 3. What is 5*g(n) - w(n)? n**2 + 2 Let m(i) = -i**3 - 4*i**2 - 6*i - 2. Let v = -50 + 48. Let h be m(v). Let a(z) = -10*z**2 - 21*z + 16. Let s(p) = 2*p**2 + 4*p - 3. Determine h*a(g) + 11*s(g). 2*g**2 + 2*g - 1 Let k(b) = -5*b - 44. Let t(h) = -h - 11. Give 4*k(l) - 18*t(l). -2*l + 22 Let y(w) = 7*w**2 + 5*w + 5. Let p(t) = t**2 + t + 1. Suppose -5*k - 175 = 2*o, 2*k + 50 + 1 = 3*o. Let f be (6/33 + 28/k)*3. What is f*y(a) + 10*p(a)? -4*a**2 Let v(c) = 3*c**3 - 2*c**2 + c - 26. Let d(a) = -16*a**3 + 11*a**2 - 4*a + 129. Calculate -2*d(w) - 11*v(w). -w**3 - 3*w + 28 Let y(a) = -5*a**2 + 11*a - 11. Let n(l) = -3*l**2 + 6*l - 6. Let m(p) = -p**2 + 7*p + 1. Let g be m(5). Give g*n(z) - 6*y(z). -3*z**2 Let n(x) = 2*x - 2. Suppose -2*u - 3*j + 40 = -7*u, 4*u - j = -25. Let q(o) = o - 3. Determine u*n(t) + 4*q(t). -6*t - 2 Let b(p) = -15*p**2 + 23*p + 4. Let m(u) = -13*u**2 + 20*u + 4. Let n(y) = 5*b(y) - 6*m(y). Let s(o) = 11*o + 0 - 3 + 12 - 7*o**2. Give 9*n(i) + 4*s(i). -i**2 - i Let j(i) = -9*i**3 + 9*i**2 + i + 9. Let d(f) = -24*f**3 + 22*f**2 + 2*f + 22. Calculate 5*d(p) - 12*j(p). -12*p**3 + 2*p**2 - 2*p + 2 Let s = -1583 + 1588. Let h(l) = -8*l**3 + 15*l**2 + 6*l + 6. Let a(x) = 7*x**3 - 15*x**2 - 5*x - 5. Give s*h(y) + 6*a(y). 2*y**3 - 15*y**2 Let n(w) = 2*w**3 - 2*w - 1. Let a(j) = -j**3 - j**2 - j - 1. Let t(o) = -o**3 + 6*o**2 - 8*o - 1. Let y be t(4). Determine y*a(m) + n(m). 3*m**3 + m**2 - m Let t(k) = -k**2 - 4*k - 2. Suppose 26 = 6*p - 16. Let o(y) = -16*y**2 + 0 + 14*y**2 - 3 - p*y. Calculate 4*o(l) - 7*t(l). -l**2 + 2 Let m(u) = -3*u**3 + 7*u**2 + 12*u - 34. Let p(h) = 2*h**3 - 6*h**2 - 9*h + 33. Give 3*m(i) + 4*p(i). -i**3 - 3*i**2 + 30 Let r(l) = l**3 - 9*l**2 + 8*l. Let u(p) = -p**2 + p. Let b = 171 + -173. What is b*r(c) + 18*u(c)? -2*c**3 + 2*c Let g(k) = k**3 - k**2 + 2. Let w(h) = 49*h**3 + 2*h**2 - 8. Determine 4*g(y) + w(y). 53*y**3 - 2*y**2 Suppose 0 = -0*v + 5*v - 20. Suppose 2 = 5*j - 3*c + 9, v*j - c = 0. Let z(p) = -p**3 - p. Let o(d) = 7*d**3 + 4*d. Calculate j*o(t) + 4*z(t). 3*t**3 Let h(n) = -64*n + 4 + 195*n - 68*n - 68*n. Let t(b) = -9*b + 8. What is -7*h(d) + 4*t(d)? -d + 4 Let k(d) = -15*d**2. Let z(u) be the first derivative of -170*u**3 + 349. What is 135*k(o) - 4*z(o)? 15*o**2 Let b(w) = 1. Let r(t) = -2*t**2 + 2*t + 4. Suppose -17*u = -10*u + 14. What is u*b(f) + r(f)? -2*f**2 + 2*f + 2 Let u(b) = -8*b**3 + 5*b**2 - 6*b + 5. Let h = -410 - -415. Let w(y) = 7*y**3 - 4*y**2 + 5*y - 4. What is h*w(p) + 4*u(p)? 3*p**3 + p Let h(q) = -4*q**2 - 107*q + 3. Let s(z) = -11*z**2 - 324*z + 8. Calculate 8*h(w) - 3*s(w). w**2 + 116*w Let y = -134 + 141. Let r(s) = 6*s**2 + 2*s + 7*s**2 - y*s**2. Let w(x) = x**2 + x. Calculate -r(u) + 2*w(u). -4*u**2 Let o(d) = d**3 - 3*d**2 + 2*d. Let v(a) = 9*a**2 - a - 5. Let s(w) = -4*w**2 + w + 2. Let r(g) = 5*s(g) + 2*v(g). Determine 2*o(n) - 3*r(n). 2*n**3 - 5*n Let o(h) be the third derivative of -h**6/120 + h**4/4 - h**3 + 10*h**2 + 1. Let u(l) = -l + 1. Calculate -o(g) - 6*u(g). g**3 Let k(z) = -4 - 30*z - 47*z + 70*z + z**2. Suppose m + 2*m - 33 = 0. Let w(c) = -3*c**2 + 20*c + 11. What is m*k(v) + 4*w(v)? -v**2 + 3*v Let y(g) = 9*g**3 + 2*g**2 - 8. Let i(z) = -9*z**3 - z**2 - 2*z + 10. Let c(j) = -2*i(j) - 3*y(j). Let t(l) = -l**3 - l**2 + l + 1. Give c(w) - 4*t(w). -5*w**3 Let l(a) = -714*a**3 - 136*a - 544. Let s(w) = w**3 - w - 4. What is l(x) - 136*s(x)? -850*x**3 Let h(q) = -7*q**3 + 5*q**2 - 4*q + 6. Let p(u) = 5 + 6*u**3 - 3*u**2 + 3*u + 16 - 26 - u**2. Calculate 5*h(s) + 6*p(s). s**3 + s**2 - 2*s Let n(y) = -y**2 - 3*y + 7. Let a(c) = -3*c**2 - 8*c + 20. What is 6*a(l) - 17*n(l)? -l**2 + 3*l + 1 Let c = 124 + -117. Let t(h) = h**3 + 6. Let j(z) = -z**3 - 7. Determine c*t(v) + 6*j(v). v**3 Let q(l) = 4*l - 2*l**2 + 55 - 51 + 5*l**2. Suppose 3*u - 17 = n, 0*u + n = -3*u + 7. Let o(f) = 4*f**2 + 5*f + 5. Give u*o(y) - 5*q(y). y**2 Suppose -5*g + 10*g + 10 = 0. Let q(c) = -c**2 + 5*c + 3. Let h(m) = -6*m**2 + 26*m + 16. Determine g*h(f) + 11*q(f). f**2 + 3*f + 1 Let s(h) = -34*h - 2. Let y(n) = -72*n - 4. Calculate -5*s(z) + 2*y(z). 26*z + 2 Let a(t) = 13*t + 1. Let o(c) = -4*c + 1. Determine a(j) - 3*o(j). 25*j - 2 Let h(s) = 5*s - 2. Let t be 0/2 + -2 + 1. Let u(g) = -4 + 11*g + 4 + 12*g - 24*g. Determine t*h(b) - 4*u(b). -b + 2 Let u(f) = 2*f**2 + 2*f - 3. Let t(l) = -l**2 - l + 17. Let h(p) = 3. Let j(x) = 5*h(x) - t(x). What is 7*j(o) - 4*u(o)? -o**2 - o - 2 Let q(k) = 16*k + 9. Let o(b) = 33*b + 17. What is -2*o(h) + 5*q(h)? 14*h + 11 Let v = 450 + -451. Let x(n) = n - 1. Let k(h) = -8*h + 1. Give v*k(d) - 2*x(d). 6*d + 1 Let x(b) be the third derivative of 0 + 0*b - 1/2*b**3 + 5/24*b**4 + 27*b**2. Let i(f) = 4*f - 2. Let v be 2/7 + 132/28
{ "pile_set_name": "DM Mathematics" }
un? 1/429 What is prob of sequence bl when two letters picked without replacement from bblbbbbffbbbbblbl? 9/68 Calculate prob of sequence pw when two letters picked without replacement from {w: 5, p: 5, e: 2, v: 3, u: 1}. 5/48 Two letters picked without replacement from {b: 2, g: 1}. What is prob of sequence gb? 1/3 Three letters picked without replacement from gevggekleevuegvlegu. What is prob of sequence eve? 5/323 Three letters picked without replacement from {f: 17, m: 2}. What is prob of sequence mmf? 1/171 Four letters picked without replacement from kxxpxppkpp. Give prob of sequence xxpx. 1/168 Calculate prob of sequence bjzj when four letters picked without replacement from {a: 2, b: 4, z: 4, q: 2, j: 2}. 4/3003 Two letters picked without replacement from {t: 1, k: 3, b: 1, i: 2}. Give prob of sequence ik. 1/7 What is prob of sequence xx when two letters picked without replacement from {x: 9}? 1 Four letters picked without replacement from {s: 7, o: 5}. Give prob of sequence ssos. 35/396 What is prob of sequence lttl when four letters picked without replacement from {l: 7, p: 1, j: 2, t: 2, e: 7}? 7/7752 Three letters picked without replacement from ppppppppppppplp. Give prob of sequence plp. 1/15 What is prob of sequence chl when three letters picked without replacement from lclthlllh? 5/252 Calculate prob of sequence ayy when three letters picked without replacement from ayayaaacyyy. 10/99 Two letters picked without replacement from {o: 1, h: 1, z: 1, s: 2, m: 2}. What is prob of sequence sz? 1/21 Four letters picked without replacement from uhhhv. What is prob of sequence vhuh? 1/20 Four letters picked without replacement from uuuuu. What is prob of sequence uuuu? 1 Calculate prob of sequence oo when two letters picked without replacement from {h: 1, z: 3, o: 4}. 3/14 Four letters picked without replacement from ppqpqpmppqpquqpqp. What is prob of sequence mqqp? 9/1904 Three letters picked without replacement from zzzzzziizzzzz. What is prob of sequence zzz? 15/26 Two letters picked without replacement from {q: 3, p: 15}. Give prob of sequence qp. 5/34 What is prob of sequence wmm when three letters picked without replacement from {m: 2, w: 7}? 1/36 Three letters picked without replacement from {n: 3, d: 1, z: 5}. Give prob of sequence zzz. 5/42 Two letters picked without replacement from {g: 1, o: 3, u: 1, t: 2, y: 3}. What is prob of sequence yg? 1/30 Calculate prob of sequence pm when two letters picked without replacement from pvmvcp. 1/15 What is prob of sequence xj when two letters picked without replacement from cjccckocckkxccccxgcc? 1/190 Calculate prob of sequence rbo when three letters picked without replacement from hoobhhr. 1/105 Calculate prob of sequence ff when two letters picked without replacement from {d: 6, h: 1, g: 2, f: 3}. 1/22 What is prob of sequence twl when three letters picked without replacement from iwtlyld? 1/105 Two letters picked without replacement from {s: 4, a: 1, d: 2, z: 3, i: 1}. What is prob of sequence dd? 1/55 What is prob of sequence zzz when three letters picked without replacement from tztgttzzzzztzzt? 8/65 What is prob of sequence pc when two letters picked without replacement from ppbbkkbbppbbbbc? 2/105 Two letters picked without replacement from sdszstdtsdggsstgts. Give prob of sequence dt. 2/51 Three letters picked without replacement from {r: 1, g: 1, c: 2, p: 5, s: 1}. What is prob of sequence ccg? 1/360 Three letters picked without replacement from oqootttotgtottogttot. Give prob of sequence gog. 7/3420 Two letters picked without replacement from fovvfyyhfyhyo. What is prob of sequence vh? 1/39 Three letters picked without replacement from {k: 2, z: 2, s: 1, w: 1}. What is prob of sequence wzs? 1/60 Three letters picked without replacement from {l: 3, k: 10, e: 1, w: 1}. Give prob of sequence kew. 1/273 What is prob of sequence lp when two letters picked without replacement from {p: 2, x: 4, l: 10, u: 3}? 10/171 Three letters picked without replacement from afpaaapbaaafaaabaaa. Give prob of sequence baa. 52/969 Calculate prob of sequence zz when two letters picked without replacement from dzdsdczddddczzd. 2/35 Three letters picked without replacement from {y: 1, i: 1, m: 2, j: 3}. What is prob of sequence miy? 1/105 Calculate prob of sequence uawt when four letters picked without replacement from auuaeuwyuuett. 1/858 What is prob of sequence kbz when three letters picked without replacement from btxzztttbk? 1/180 What is prob of sequence yyg when three letters picked without replacement from {w: 1, g: 1, y: 2}? 1/12 Calculate prob of sequence vfv when three letters picked without replacement from {v: 2, x: 2, f: 1}. 1/30 What is prob of sequence nmnn when four letters picked without replacement from {a: 3, o: 2, n: 3, m: 1, k: 6}? 1/5460 What is prob of sequence kjl when three letters picked without replacement from {i: 2, v: 4, k: 5, j: 4, l: 1}? 1/168 Four letters picked without replacement from {d: 2, x: 8}. Give prob of sequence xddx. 1/45 Three letters picked without replacement from {s: 9, w: 11}. Give prob of sequence sws. 11/95 Calculate prob of sequence vxwt when four letters picked without replacement from oxvxwtosv. 1/756 Calculate prob of sequence if when two letters picked without replacement from fieienkfnkfffken. 1/24 Calculate prob of sequence oyy when three letters picked without replacement from {k: 3, f: 1, v: 7, o: 1, y: 2}. 1/1092 What is prob of sequence ee when two letters picked without replacement from errerrrrr? 1/36 What is prob of sequence fuf when three letters picked without replacement from fuyfyfuyfffuyf? 3/52 Two letters picked without replacement from rvvrrvrrrrrvvr. What is prob of sequence vr? 45/182 Two letters picked without replacement from {q: 11, u: 3, s: 1}. What is prob of sequence qu? 11/70 Three letters picked without replacement from {l: 1, v: 3, f: 4, r: 1, n: 2, q: 1}. What is prob of sequence vnf? 1/55 What is prob of sequence vv when two letters picked without replacement from {v: 6, a: 2, j: 9, p: 1}? 5/51 Calculate prob of sequence dzmw when four letters picked without replacement from {z: 2, m: 4, d: 1, l: 3, a: 1, w: 1}. 1/1485 What is prob of sequence lpp when three letters picked without replacement from glgpuspcllul? 1/165 Calculate prob of sequence xa when two letters picked without replacement from {x: 1, n: 12, z: 2, s: 1, a: 1}. 1/272 Two letters picked without replacement from {x: 2, w: 1, v: 6, a: 4, g: 3}. What is prob of sequence wg? 1/80 Four letters picked without replacement from {k: 2, c: 15, y: 3}. What is prob of sequence yyky? 1/9690 Calculate prob of sequence aa when two letters picked without replacement from {j: 8, m: 1, a: 4}. 1/13 Two letters picked without replacement from {o: 1, k: 1, n: 1}. Give prob of sequence ko. 1/6 Four letters picked without replacement from {i: 5, f: 5}. What is prob of sequence iiif? 5/84 Calculate prob of sequence xz when two letters picked without replacement from xxuaxxxxxzxy. 2/33 Two letters picked without replacement from {s: 2, r: 2, p: 5}. What is prob of sequence pp? 5/18 Calculate prob of sequence jd when two letters picked without replacement from jjqgztzd. 1/28 Two letters picked without replacement from {w: 6, g: 1, r: 3, m: 2, p: 5}. Give prob of sequence pg. 5/272 Two letters picked without replacement from {t: 4, g: 2, l: 1}. What is prob of sequence gg? 1/21 Four letters picked without replacement from cfcfcfsece. Give prob of sequence fscf. 1/210 Two letters picked without replacement from ffwirfzfrffwtfz. What is prob of sequence fi? 1/30 Calculate prob of sequence yu when two letters picked without replacement from {y: 1, h: 1, o: 2, u: 2, m: 1}. 1/21 Calculate prob of sequence wt when two letters picked without replacement from ccqccwtwqwtwwqtqctm. 10/171 Three letters picked without replacement from {f: 5, a: 9}. What is prob of sequence aff? 15/182 Calculate prob of sequence gh when two letters picked without replacement from {h: 1, u: 2, g: 2, y: 1, w: 1, r: 2}. 1/36 What is prob of sequence jaxr when four letters picked without replacement from {x: 1, j: 2, a: 1, w: 1, r: 2}? 1/210 Two letters picked without replacement from {p: 1, a: 1, y: 2, n: 2, g
{ "pile_set_name": "DM Mathematics" }
4 - 55*s**4/12 - 55*s**3/6 - 55*s**2/2 - 5*s. What is 55*m(i) - 6*u(i)? 5*i**3 Let q(g) be the third derivative of g**5/20 + g**4/4 - 2*g**3/3 + 4*g**2. Let d(o) = -3*o + 8*o**2 + 14*o - 11 + 6*o. What is 4*d(h) - 11*q(h)? -h**2 + 2*h Let p(o) = -161*o**3 - 7*o**2 + 7. Let u(y) = 107*y**3 + 5*y**2 - 5. Determine 5*p(r) + 7*u(r). -56*r**3 Let x(a) = 2*a**2 - 4*a - 2. Let j be (3/5)/((-7)/(-35)). Let q(u) = -2*u**3 + 2 + 3*u**j - 5 + 3*u**2 - 5*u. What is -2*q(m) + 3*x(m)? -2*m**3 - 2*m Let m(j) = 1. Let s be (0 + 2 + -2)/2. Let l = 2 - s. Let v(w) = -5*w - w**l + w + 5*w + 6. What is 6*m(q) - v(q)? q**2 - q Let p(o) = -10*o**3 - 3*o**2 + o + 7. Let j(m) = -3*m**3 - m**2 + 2. Suppose 4*h - 10*h + 12 = 0. Give h*p(y) - 7*j(y). y**3 + y**2 + 2*y Let h(q) = q + 1. Let v(f) = -4*f - 4. Let d(y) = -3*h(y) - v(y). Let w(t) = 5. Let k(j) = -9. Let c(b) = 6*k(b) + 11*w(b). Give -3*c(u) + 2*d(u). 2*u - 1 Let n(g) = -g**2 - g - 1. Let s(i) = -i**2 - i - 2. What is -4*n(a) + 2*s(a)? 2*a**2 + 2*a Let z be (-2)/4*1*-10. Let g(h) = -66*h + 48. Let r(w) = 22*w - 16. Let i(n) = 3*g(n) + 8*r(n). Let p(k) = -7*k + 5. Give z*i(x) - 16*p(x). 2*x Let b(a) = 6*a**2 + 5*a + 6. Suppose t + 2*c = -0*c - 8, 5*t = -2*c - 24. Let d(i) = i**2 + i + 1. Give t*d(y) + b(y). 2*y**2 + y + 2 Suppose 4*l - 4*u - 42 + 14 = 0, 3*l + 2*u = 11. Let q(b) = b**3 + 0*b**3 + 9*b + 2*b**3. Let g(w) = -w**3 - 4*w. Give l*g(s) + 2*q(s). s**3 - 2*s Let s(o) = -22*o**2 - 16. Let y(q) = -15*q**3 - 2*q**2 + q. Let f(w) = w + 5. Let l be f(-4). Let p be y(l). Let j(x) = -7*x**2 - 5. Calculate p*j(z) + 5*s(z). 2*z**2 Let x(m) = 21*m - 2. Let h(r) = -32*r + 3. Determine -5*h(v) - 8*x(v). -8*v + 1 Let i(r) = 111*r**2 - 2 + 0*r**3 - 106*r**2 - 5*r**3. Let x(q) = 11*q**3 - 11*q**2 + 4 + 2*q - 2*q. What is 7*i(o) + 3*x(o)? -2*o**3 + 2*o**2 - 2 Let p = 10 + -5. Let i(y) = 6*y + 4. Let c(x) = 5*x + 3. Determine p*c(t) - 4*i(t). t - 1 Let g(f) = 5*f**2 - 3*f - 2. Let d(b) = 14*b**2 - 10*b - 6. Calculate 3*d(y) - 8*g(y). 2*y**2 - 6*y - 2 Let g(z) = 11*z**2 - 13*z. Let h(p) = -6*p + 5. Let v(j) = j**2 - 1. Let q(u) = -h(u) - 5*v(u). Give -6*g(l) - 13*q(l). -l**2 Let y(q) = -16. Let k(m) = -3. Let b(x) = 11*k(x) - 2*y(x). Let w(n) = -n - 3. Let c(a) = a**2 - 4*a + 4. Let f be c(3). Determine f*w(j) - 3*b(j). -j Let y(c) = 29 - 29 - 2*c. Let i(m) = -5*m. What is -2*i(k) + 4*y(k)? 2*k Let w(s) = -11*s**3 - 3*s**2 - 3*s + 3. Let a(k) = 32*k**3 + 8*k**2 + 8*k - 8. Calculate 3*a(r) + 8*w(r). 8*r**3 Let x(p) = p**2 + p - 2. Let c(k) = k - 7. Let v(h) = 1. Let r(n) = 2*n + 4. Let i be r(-5). Let t(o) = i*v(o) - c(o). What is -t(w) - x(w)? -w**2 + 1 Let m(s) = -7*s - 7. Let v(o) = 3*o + 3. Determine 4*m(k) + 9*v(k). -k - 1 Let a(f) = 5*f**2 + 5*f - 2. Let z(n) = -4*n**2 - 6*n + 2. Calculate -4*a(r) - 3*z(r). -8*r**2 - 2*r + 2 Suppose 3 = -l + 4*x + 4, 0 = 2*x - 4. Let y = l + 0. Suppose 4*d - y*d = 5. Let f(q) = q + 1. Let r(g) = 4*g + 3. What is d*r(a) + 2*f(a)? -2*a - 1 Let w(x) = -x**2 - 1. Let a(u) = -6*u**2 - u - 7. Let t(n) = -n - 11. Let l be t(-16). Determine l*w(z) - a(z). z**2 + z + 2 Let a(l) = 7*l**2 - 8*l + 2. Let o(m) = -3*m**2 + 4*m - 1. Calculate -2*a(d) - 5*o(d). d**2 - 4*d + 1 Suppose 0 = 2*q - 0 + 22. Let t = q + 6. Let b(n) be the second derivative of n**3/3 - n**2/2 + n. Let r(g) = -2*g + 1. Calculate t*r(z) - 4*b(z). 2*z - 1 Let p(u) = -4*u + u + 4 + u + 3*u. Let y(j) = -1. Determine p(z) + 4*y(z). z Let o(w) = -w**2 + 3*w - 4. Suppose d - 2 = -24. Let n be d + (0 - 1 - -1). Suppose 3*k + 7 + 11 = 0. Let t(m) = 4*m**2 - 11*m + 15. Give k*t(a) + n*o(a). -2*a**2 - 2 Let x(b) = b - 8. Let q(r) = -2*r + 15. Let l = -1 + 7. Determine l*q(f) + 11*x(f). -f + 2 Let t(v) = -9*v - 6. Let i(x) = 8*x + 5. Suppose 10 = -2*q, p - 5*q = 4*p + 4. Give p*i(y) + 6*t(y). 2*y - 1 Let n(t) = 42*t**3 + 10*t**2 + 10*t - 10. Let d(z) = -14*z**3 - 3*z**2 - 3*z + 3. Determine -10*d(s) - 3*n(s). 14*s**3 Let i(o) = -3*o**2 - 4. Let x(m) = 4*m**2 + 3. Determine 3*i(v) + 4*x(v). 7*v**2 Let g be (-3)/6*(-3 + 1). Let u(i) = 1 - 6*i + 5 - 4 + g. Let j(l) = -5*l**3 - l**2 + l + 1. Let b be j(-1). Let q(r) = -7*r + 4. Determine b*q(y) - 5*u(y). 2*y + 1 Let u be ((-1)/1)/((-2)/10). Let i(r) = 9*r - 7. Let b(f) = f**2 + 5*f + 4. Let o be b(-5). Let g(m) = -3 - o*m + 7 - m. What is u*g(d) + 3*i(d)? 2*d - 1 Let u(f) be the first derivative of -7*f**4/4 + 4*f**3/3 - 2*f**2 - 5. Let w(b) = -6*b**3 + 3*b**2 - 3*b. Determine 3*u(s) - 4*w(s). 3*s**3 Let j(p) = -p**2 - 3*p - 1. Let o(s) = -3*s - 1. Give -2*j(h) + 3*o(h). 2*h**2 - 3*h - 1 Suppose 0 = b - 4*p - 19, -3*b - p - 18 = 2*p. Let i(r) = 1. Let c(a) be the first derivative of a**4/2 + a**3/3 - 4*a - 15. What is b*c(d) - 5*i(d)? -2*d**3 - d**2 - 1 Let l(r) = -r**2 - 1. Let t(o) = 3*o**2 + 4. Let w(v) = -11*v**2 - v. Let j be w(1). Determine j*l(i) - 3*t(i). 3*i**2 Let l(j) = -j**2 - j + 1. Suppose 5*m + 3 = 8*m. Let z(f) = 2*f**2 + 6*f - 3. What is m*z(a) + 4*l(a)? -2*a**2 + 2*a + 1 Let u(s) = s**2 - 8*s - 7. Let k be u(9). Let h(w) = w**2 - 2*w + 1. Let o be h(k). Let r(b) = b. Let m(z) = 2*z. Give o*m(d) - 3*r(d). -d Let l(v) = -2*v**3 - 4*v**2 + 3. Let k(t) = t**3 + 3*t**2 + t - 2. Determine 3*k(b) + 2*l(b). -b**3 + b**2 + 3*b Let a(m) = m - 1. Let r(b) = 4*b + 6. Give 14*a(z) + 2*r(z). 22*z - 2 Let t(y) = 6*y**2 - 4*y + 9. Let s(i) = 11*i**2 - 7*i + 16. Calculate -4*s(d) + 7*t(d). -2*d**2 - 1 Let n(t) = -t**2 + t + 1. Let l(k) = -3*k**2 + 4*k + 7. Let z = 9 + -10. Determine z*l(g) + 5*n(g). -2*g**2 + g - 2 Let w(y) = -5*y + 0 - 2 - 3. Let q(d) = d + 1. Suppose -3*c = -5 + 8. Calculate c*w(l) - 3*q(l). 2*l + 2 Let w(s) = -21*s**3 - 11*s. Let x(t) = 4*t**3 + 2*t. Determine 6*w(b) + 33*x(b). 6*b**3 Let j(v) = 10*v**3 - 7*v**2 - 7*v - 7. Let d(s) = -3*s**3 + 2*s**2 + 2*s + 2. Let p be (-10)/(-15)*(-21 + 0). Give p*d(o) - 4*j(o). 2*o**3 Let t(b) = -b. Let w(l) = 14*l**2 - l. What is t(o) - w(o)? -14*o**2 Let d(w) = -22*w**2 - 4. Let r(y) = -23*y**2 + y - 5. Determine 3*d(q) - 2*r(q). -20*q**2 - 2*q - 2 Let b(y) = -120*y + 35. Let t(x) = 7*x - 2. Determine 2*b(l) + 35*t(l). 5*l Let u = -45 + 41. Let l(w) = -w + 3. Let z(h) = -2*h + 7. Calculate u*z(v) + 9*l(v). -v - 1 Let b(x) = 12*x**2 + 4*x + 4. Let y(m) = -60*m**2 - 21*m - 21. Determine -21*b(p) - 4*y(p). -12*p**2 Let o(f) = 1007*f**2 + 152*f + 152. Let j(m) = 33*m**2 + 5*m + 5. Calculate -152*j(z) + 5*o(z). 19*z**2 Let a(k) = -2*k**3 - 4*k**2 + 4. Let b(h) be the first derivative of -3*h**4/4 - 5*h**3/3 + 5*h + 1. Let j be (-5)/(25/(-5)) + 4. Give j*a(v) - 4*b(v). 2*v**3 Let i(j) = -6*j + 9. Let a be (-1)/3*3*5. Let d(w) = -7*w + 10. Give a*d(f) + 6*i(f). -f + 4 Let z(p) = 1 - 5*p + 7*p - p. Let s(l) = l**2 + 4*l + 4. Determine s(y) - 4*z(y). y**2 Suppose l - 13 = -z, 4*z + 1 + 1 = 2*l. Let m(i) = 2 + i + 2*i + 10*i. Let u(s) be the first derivative of 3*s**2 + s - 1. Calculate l*u(o) - 4*m(o). 2*o + 1 Let l = 2 + 3. Let c(k) = 7*k - 5*k - 3*k**2 + k + 1 - 4*k**2. Let a(s) = 4*s**2 - 2*s - 1. Calculate l*a(f) + 3*c(f). -f**2 - f - 2 Suppose 0 = z - 10 - 2. Suppose 0 = 4*v - 6*v - z. Let i(y) = -23*y**3 - 14*y + 17. Suppose 5*l + 25 = -60. Let p(t) = 8*t**3 + 5*t - 6. Give l*p(j) + v*i(j). 2*j**3 - j Let g(f) = -f - 11. Let v be 23/(161/30) - (-4)/(-14). Let u(j) = j + 6. What is v*g(x) + 7*u(x)? 3*x - 2 Let h(q) = 17*q**3 + q**2 - 13*q + 9. Let u(s) = 3*s - 3 + 9*s**3 + 1 - 13*s**3. Let m be 2/(-1 - 22/(-18)). Suppose -6*d = -d - 10. Calculate d*h(j) + m*u(j). -2*j**3 + 2*j**2 + j Let p(j) = 20*j**3 - 17*j**2 + 17. Let r(y) = -7*y**3 + 6*y**2 - 6. Let d(x) = -x**2 + x. Let w be d(0). Suppose w = 5*g - 51 + 136. Calculate g*r(u) - 6*p(u). -u**3 Let n(j) = -j + 1. Let z(d) = 12*d - 4. Calculate 4*n(b) + z(b). 8*b Let k(q) = 16*q**2 - 5. Let i(c) = c**2 + c - 3. Let v be i(-4). Let n = -6 + v. Let u be 2/(-3 + 1 + n). Let w(g) = -3*g**2 + 1. Calculate u*k(t) + 11*w(t). -t**2 + 1 Let w(g) = -43*g**2 - 6*g + 6. Let r(x) = x**2 + x - 1. What is -6*r(l) - w(l)? 37*l**2 Let w(v) = -30*v + 25*v + 2 + 0. Suppose u - 2*p + 2 = 0, 4*u + 0*u = -5*p - 8. Let s(f) = -6*f + 3. Give u*s(y) + 3*w(y). -3*y Let k(u) = -8342*u**2. Let t(y) = 103*y**2. What is -6*k(l) - 485*t(l)? 97*l**2 Let d(g) = -2*g + 6. Let u(z) = 5*z - 17. Give 11*d(y) + 4*u
{ "pile_set_name": "DM Mathematics" }
1229 = 26*n - 25*n. Is n composite? False Suppose -q = 9 - 62. Is q composite? False Let y(t) = 29*t - 26. Is y(9) a prime number? False Let p = -104 - -213. Suppose 5*f - 100 = c, 5*c = -5*f + f + p. Is 1*(-2 - 0) + f prime? True Suppose 2*t + 88 = -6. Let o = t - -26. Is o/14 - 106/(-4) prime? False Let s be -6*3/4*-12. Suppose -3*g + s + 3 = 0. Is g a composite number? False Let q(b) be the second derivative of b**5/40 + 13*b**4/24 + 2*b**3/3 + 3*b. Let v(t) be the second derivative of q(t). Is v(6) a composite number? False Let q(d) = -d**3 - 3*d**2 + 4*d + 2. Let p be q(-4). Let s be 3 + -1 + -1 + 23. Suppose 270 - s = p*h. Is h a composite number? True Is (18/(-12))/(-3*(-2)/(-296)) a prime number? False Let j(o) = 202*o**2 - o. Is j(-1) a composite number? True Let v be (-5304)/(-10) - (-3)/5. Is (-2)/(-3)*v/6 a composite number? False Suppose -165 = -5*k + 3*u, -4*u - 66 = -2*k - 3*u. Let d(v) = -2*v**3 - 22*v**2 - v - 9. Let h be d(-11). Suppose -h*o + 5*o = k. Is o a composite number? False Let p(g) = -32*g + 1. Let n be p(-1). Let c = -14 + n. Suppose 4*t = 5*t - c. Is t composite? False Suppose 0 = w + w + j - 9, -w + 4*j = 9. Suppose -18 + 6 = w*v, -3*v - 187 = -5*n. Is n prime? False Suppose l + 3*r = -60 - 4, 0 = -5*l + 5*r - 340. Suppose 0 = b + 5*s + 101, 2*s = b + 34 + 102. Let z = l - b. Is z composite? False Suppose -4*d = 4*r - 4, 5*d + r + 0*r - 21 = 0. Suppose -c - 3*c = 4*s - 1196, d*c - 1495 = s. Is c composite? True Let c = 145 + 4. Is c a prime number? True Suppose -5*z = -5*o + 105, -7*o + 3*o + 75 = 5*z. Let r be (15/(-10))/((-6)/o). Suppose r*g - 2*p - 65 = 0, -g + 5*p + 52 = 3*g. Is g composite? False Let x be 5 + (2 - 2) + 0. Suppose -x*i + 857 = -3*q, -i - 2*q = -101 - 60. Is i prime? False Suppose 17 - 2 = 5*h. Suppose h*y + y - 1868 = 0. Is y a composite number? False Let f = -17 + -28. Let p be (-10)/f - 52/(-9). Is 4/p*-3 - -165 a prime number? True Let j(i) = 19*i**2 + 5*i - 7. Let l(q) = -q**3 + 3*q**2 + 4*q + 4. Let y be l(4). Is j(y) a prime number? True Let s(c) = -23*c - 25. Is s(-26) prime? False Suppose 2203 = x + 2*s - 1044, 3*s + 9741 = 3*x. Is x prime? False Suppose 2*o - 10*m + 6*m = 3986, -9944 = -5*o + 3*m. Is o prime? True Let i(v) = v**2 + 1. Let s(w) = 5*w**3 - 10*w**2 + 3*w - 5. Let m(n) = 6*i(n) + s(n). Is m(3) a prime number? True Let g(d) = -3 - 32*d + 6 + 1. Let v be g(-4). Is v/2 + 3*1 a prime number? False Let z(f) = f**3 + 6*f**2 + 3*f - 7. Let a be z(-5). Suppose -4*n - 2*c + 886 = 0, n + 4*c = -a*n + 888. Is n a prime number? False Let k(h) = 2*h**2 - h + 3. Is k(-4) a prime number? False Suppose -3*w + u = 6*u + 164, w = u - 68. Let y be 10/25 + 24/15. Is (0 + y)/((-6)/w) a composite number? True Suppose 8*s = 2451 + 4517. Is s a prime number? False Let j(l) = 3*l**2 + 4*l + 1. Let m(u) = 2*u**2 + 4*u + 1. Let g(f) = 4*j(f) - 3*m(f). Suppose 2*z + 2*z - 12 = 0. Is g(z) composite? False Let j = 9 + -9. Suppose j = -h + 4*h - 5*x - 107, -5*x = 5. Is h a composite number? True Suppose -4*l + 248 = 4*g, -301 = -8*l + 3*l - 2*g. Is l prime? True Let f = -38 + 21. Let c = 36 - f. Is c a composite number? False Suppose 373 + 7 = 4*c. Let j = 141 - c. Let l = j - 20. Is l composite? True Suppose 3 = 7*d - 2*d - 3*c, 5*d = -5*c - 5. Suppose n + d*n = 15. Is n a composite number? True Suppose 2*j - 4*x - 646 = j, -2*j + 1340 = 4*x. Is j prime? False Let u(q) = -30*q**3 - q**2 + 1. Let t be u(-1). Let b = t - 11. Is b composite? False Let t = 34 - -33. Is t a composite number? False Let m be -2*9/(-6) - -1. Is ((-2)/m)/(1/(-44)) a composite number? True Let q be 1 + 43 - (4 - 2). Suppose -3*w - q = -w. Let h = 58 + w. Is h composite? False Let u(o) = o**2 - 2*o - 1. Let q be u(-1). Suppose -326 = -q*z - 0*z. Is z a composite number? False Is ((-1)/2)/((-2145)/714 - -3) composite? True Suppose f = 260 - 49. Is f a prime number? True Let m = 1 - -1. Let l(w) = 222*w**2 + 3*w - 5. Is l(m) a composite number? True Suppose 0 = p + 3*f - 65, -7*p + 285 = -2*p - 5*f. Is p prime? True Let v be 2 - (-3 - (-1 - 0)). Let q = -1 + v. Suppose o = -4*m + 47, -o + q*m + 6 + 13 = 0. Is o composite? False Suppose -z + 5*d + 570 = 0, -554 - 13 = -z + 2*d. Is z composite? True Let g = -2991 + 4936. Is g a composite number? True Let l = 727 + -434. Is l prime? True Suppose 2*u + 5*c + 385 = 6*u, 0 = 3*u + 3*c - 282. Is u composite? True Suppose -2*o = -59 + 15. Is o composite? True Suppose -10 = -2*v - 3*v. Suppose 2*c + 0*n = 3*n + 22, -v*c + 26 = -n. Is c prime? False Let c = 1954 - 857. Is c a prime number? True Let l = -1199 - -2300. Is l a composite number? True Let j(k) = -k + 7*k - 11*k - 3 - 13*k. Is j(-5) composite? True Is 152 - 6*3/6 a composite number? False Suppose 0 = -4*f - 8*g + 4*g, -5*f + 14 = -2*g. Let y be 11/(-11)*(-1)/(-1)*-133. Suppose -3*s = -f*s - y. Is s composite? True Let a(d) = -89*d + 7. Let y be a(-3). Suppose 2*n - h - y = -3*h, 5*n = -4*h + 681. Is n a prime number? False Is 974 + (8 - (2 - -3)) a prime number? True Suppose 6*y - 2066 - 172 = 0. Let i(b) = 535*b + 1. Let p be i(1). Let l = p - y. Is l a composite number? False Suppose 0 = -3*c - 5*v + 738, -220 = -c + v + 34. Is c prime? True Suppose v = 25 + 132. Is v composite? False Let x = 63 + -12. Let y = -16 + x. Is y prime? False Let g be (5/(-3))/((-2)/6). Let c be 60 - 4/(8/6). Suppose g*o - 118 = c. Is o prime? False Suppose -4*x = -m + 223, 5*m - 1043 = -0*m - 4*x. Is m a composite number? False Let l = 937 - -52. Is l composite? True Suppose -5*w = 35 - 0. Let t = 7 + w. Suppose 5*n - 529 = -5*f + 236, t = 4*n + 2*f - 616. Is n a prime number? False Let k(w) be the third derivative of 0 + 1/40*w**6 - 1/60*w**5 + 0*w - w**2 + 0*w**4 + 0*w**3. Is k(1) prime? True Let c be 186 + 1 - (-4 - -1). Suppose -5*s + c = h, -5*h - 86 = -0*s - 3*s. Is s composite? False Let s(u) = -u**3 + 11*u**2 + u - 16. Let d = -6 + 17. Let g be s(d). Is 51 + g/(15/6) composite? True Suppose -3*j - 10423 = -4*p, 3 = 3*j + 6. Suppose 0*o - 5*o + p = 0. Is o prime? True Let x(g) = -5036*g. Let v be x(-3). Is (-4)/6 - v/(-36) a composite number? False Let s(x) be the first derivative of -x**2/2 + 10*x - 4. Let o be s(6). Suppose 360 = o*y + 84. Is y a composite number? True Let x = -726 + 1637. Is x composite? False Let u = -4226 + 6045. Is u prime? False Let j = 30 + -14. Suppose -j = -3*n + n - 5*c, -22 = -2*n - 2*c. Is n a prime number? True Suppose -j - 2*n - 4 = -2, -4*j - 3*n - 3 = 0. Let x(k) = k**3 + k + 83. Is x(j) a prime number? True Suppose -b + 5 = -10. Suppose -7*o + b = -2*o. Is o a composite number? False Let t(f) = 88*f. Let y be t(2). Suppose -v + 4*h + y = 3*v, 4*v + 4*h = 136. Let b = v - 6. Is b prime? False Let x(a) = -2 + 2*a + 4 - 5 + a**2 + 0. Let c be x(-4). Suppose -490 = -c*q + 4*t, -3*q - 93 + 390 = -3*t. Is q a composite number? True Suppose 5*s + s = 186. Is s prime? True Let i = 65 + -32. Suppose 2*y + 61 = -5*n - 1, n - 3*y = -26. Let d = n + i. Is d a prime number? True Let a = -191 - -322. Is a composite? False Let g be (-1)/(-2) + (-1298)/(-4). Suppose 1595 = 2*x + g. Is x prime? False Let r be 141/27 + (-4)/18. Let s be (-1 + r)/(2/4). Is ((-12)/s)/(3/(-68)) prime? False Let g = -64 - -59. Let l(p) = 32*p + 5. Let k(d) = -31*d - 4. Let b(h) = -2*k(h) - 3*l(h). Is b(g) a composite number? False Suppose -4*v + 281 - 1285 = -4*j, v = 0. Is j prime? True Suppose -2*u + 5*z = 11, 0*u = -3*u + 4*z - 20. Let w(p) = p**3 + 7*p**2 - 10*p - 11. Let a be w(u). Let v = a + 17. Is v a composite number? True Suppose 28 - 2 = 2*o. Is o a prime number? True Let j be (-2)/(-10) - (-28)/10. Let f be ((-1)/j)/((-1)/3). Is (74/4)/(f/2) prime? True Let d be -2*((-3 - -2) + 0). Suppose -3*h - 4*s + 253 + 66 = 0, 0 = -d*s - 10. Is h prime? True Suppose -204 = 3*n - 7*n. Is n a prime number? False Let q(f) = 17*f**2 - 3*f - 1. Let k(c) = -c**3 - 6*c**2 - 3*c + 7. Let r be k(-5). Is q(r) composite? True Suppose w + 110 = 2. Let s = -75 - w. Suppose -4*f + 43 = -s. Is f composite? False Let f = 88 - -121. Is f composite? True Let v(b) = b**3 + 18*b**2 - b - 16. Let i be v(-18). Suppose 0 = -4*o - 5*d + 4*d + 1272, -2*o + 646 = -i*d. Is o a prime number? False Let b = 202 - -211. Is b prime? False Let u = 4 + -5. Is u/(1*(-1)/53
{ "pile_set_name": "DM Mathematics" }
est common multiple of (3/y)/(15/(-60)) and 9? 9 Calculate the common denominator of -29/12 and 105/90 + (-67949)/59313. 13956 Suppose -4*c = 3*w - 100, 29*w - 3*c = 30*w - 30. Calculate the lowest common multiple of 480 and w. 1440 Let i = 50489/14 - 3609. Calculate the common denominator of i and 67/2590. 2590 Let c be 1/2 + 70/(-4)*-3. Let t = 52 - c. Calculate the least common multiple of 9 and t/(((-9)/10)/9). 90 Let v = 758148 - 509475611/672. Calculate the common denominator of 23/24 and v. 672 Suppose 0 = -2*y + 6*y - 3*b - 96, -y = -b - 25. Calculate the least common multiple of 5028 and y. 35196 Let u = -2/5289037 - -502466483/21071523408. Find the common denominator of -73/7304 and u. 43824 Let g be ((-89)/(-1))/(6/(24/4)). Let t = -67 + g. Suppose 3*d - t = -2*s - 0*d, s - 5*d + 2 = 0. What is the smallest common multiple of 16 and s? 16 Find the common denominator of -25/12 and -18*(2/5)/(22 - (-257220)/50). 38748 Suppose 0 = 5*b, 3*b = -2*c - 0*c + 10. Suppose c*k = 4*h + 51, 4*k - 2*h - 46 = -4*h. Calculate the least common multiple of k and 35. 385 Let x = 39 + -35. Suppose -5*w = -2*w, x*w + 8 = 4*z. Suppose -4*y - 3*m + 22 = 0, -5*y + m - z*m + 33 = 0. Calculate the smallest common multiple of 7 and y. 7 Let f(g) = -14*g - 24. Suppose -187 + 191 = -l. Calculate the lowest common multiple of f(l) and 20. 160 Let q(v) = -8*v - 50. Let s be q(-6). Let z be (s - 1201029)/(-220375 + -8 + 3). Let a = 2/11019 + z. What is the common denominator of 23/242 and a? 2420 Calculate the common denominator of -61/24 and (-9 + 3507/378)/((-8)/78). 24 What is the common denominator of (2503/(-189) - -15) + (-4)/56 and 11/67? 3618 Suppose -62*i - 262*i + 5832 = 0. Suppose -5*w - 5*p + 3*p = -43, 3*w - 41 = -5*p. What is the smallest common multiple of i and w? 126 Let f(m) = -m**3 - 5*m**2 + 3*m + 5. Let q be f(-5). What is the common denominator of 0 + 1 + q/(-33) and 377/65 - (0 - -6) - 581/945? 297 Let k be (-12)/(-3)*(6 + 10/(-5)). Let w = k - -12. Calculate the smallest common multiple of 32 and w. 224 Let h(y) = -y**2 - 20*y + 189. Let c be h(-27). Find the common denominator of 1/90 and (99/(-48) - c) + 3. 720 Let v = 27208/51 - 18550909/34782. What is the common denominator of v and -119/1116? 12276 Let m(b) = 25*b + 289. Let n be m(-11). Find the common denominator of 149/60 and n/63 + (-4 - 8515/(-1710)). 1140 Suppose 0 = -k + x + 450, -59*x + 62*x - 1793 = -4*k. Calculate the least common multiple of k and 6. 2694 Let b = 759 + -675. Calculate the smallest common multiple of b and 42. 84 Suppose 2*i - 2382 = -3*p, -68*p = -70*p + 8. Calculate the lowest common multiple of i and 790. 2370 Let y = -22549/10 - -2253. Let a = 1/4618 + -91207/6927. Find the common denominator of y and a. 30 Suppose 309 - 8431 - 5680 = -103*k. Calculate the smallest common multiple of k and 1474. 1474 Let d = -18 + -36. What is the common denominator of 81/22 and d/(-15)*3/(-2)? 110 Let f = 20931 - 19763. What is the smallest common multiple of f and 32? 2336 Suppose -3*b = 2*v - 1205 - 788, -2664 = -4*b + 4*v. Let w = -6025/9 + b. What is the common denominator of w and 13/9? 9 Find the common denominator of (-1)/(-3) + 6*(-44)/(-128) and (-78)/(-2880)*5*-15. 96 Let m = -3603 - -86545/24. What is the common denominator of m and 1 + 0 - (-86)/(-51)? 408 Let x = 840 + -1491. Let j = x - -7162/11. Find the common denominator of 41/15 and j. 165 Let w be 14/27 + (-5 - -2). Let y = -2321/54 - w. Calculate the common denominator of y and (5 - 6 - 30)*9/120*-4. 10 Suppose 6*y = -y + 1757. Suppose -g = -0*u + u - 73, 0 = 3*g - 5*u - y. Suppose -70 - g = -7*s. Calculate the lowest common multiple of 27 and s. 189 Let a = 26 + -20. Suppose -3*d - a = 3, d - 6 = 3*i. Find the common denominator of -35/3 and (((-442)/24)/13)/(2/i). 24 Let d(u) = u**2 - 5*u - 11. Let j be d(6). Let w be -14 + (-2 - j) + 5. Calculate the common denominator of (-5*22/8)/(-4 - w) and 18/37. 296 Let v be 20/50*10 - 4. Calculate the smallest common multiple of ((-2820)/329)/((-2)/7) - v and 8. 120 Suppose 4*i - 156 = -4*t + 2*i, 5*t - 185 = -5*i. Find the common denominator of (-7)/4 + 10/5 and t/2 + (-1)/3. 12 Let o(g) = -19*g - 4. Suppose -290*r - 200 = -295*r. Calculate the lowest common multiple of r and o(-4). 360 Suppose 3584 = 76*h + 52*h. Let n(m) = -m + 4. Calculate the smallest common multiple of h and n(-4). 56 Suppose 668 = -96*k + 6428. What is the lowest common multiple of 10 and k? 60 Suppose -2*m + 824 = 5*v, -11*m - 845 = -5*v - 6*m. Suppose 0 = -5*y - v + 606. What is the smallest common multiple of 99 and y? 792 Let x(u) = 20*u**2 + 24*u. What is the lowest common multiple of x(-3) and (-2)/3*(-18)/(-5)*-5? 108 Suppose 9*p + 2527 + 2144 = 0. Let r = p - -520. Calculate the least common multiple of 7 and r. 7 Let z = 3168281/112 - 28288. Let y = 7933 + -999583/126. Calculate the common denominator of y and z. 1008 Suppose -5*x + 1 = n, -x + 2*n = 4*x + 2. Suppose x = 3*p - 122 + 365. Let g = p + 83. Calculate the lowest common multiple of g and 16. 16 Let k(x) = 2*x - 184. Let g(p) = p - 61. Let w(q) = -11*g(q) + 4*k(q). Let o be w(-23). Calculate the common denominator of -83/21 and (-648)/(-112) - 6/o. 21 Suppose -65 + 5 = -5*p. Suppose 2*g = -2, 3*g - 8*g - 8 = q. What is the smallest common multiple of 1*(q + 7)/(1 - 0) and p? 12 Let n be (223918/(-3))/(120/66298). Let q = n + 41235968. Let b = q - -5082/5. Calculate the common denominator of b and 50/7. 126 Suppose 4*w - 3965 = -3*n, 5*w - n = 756 + 4186. Let y = -8846/9 + w. Calculate the common denominator of 29/158 and y. 1422 Let g = 45 + -5. Suppose 2*r + 16 = -2*j, 2*j + 2*j = -2*r - g. Calculate the least common multiple of 1 and (1 - -3) + (-48)/j. 8 Let u(z) = -z**2 + 61*z + 648. Calculate the smallest common multiple of 972 and u(61). 1944 Let q = -196309 - -196335. Let p = 19 + 27. What is the smallest common multiple of q and p? 598 Let d(i) = 3*i**3 - 53*i**2 - 376*i + 40. Calculate the smallest common multiple of d(27) and 16. 41200 Suppose -4*u + 226 = -118. Let q be (-28)/6 - -4 - (-1448)/12. Let j = q - u. What is the lowest common multiple of j and 6? 102 Suppose 0 = 5*z - 5*v - 165, -311*z + 315*z + 5*v - 213 = 0. Calculate the lowest common multiple of 6153 and z. 12306 Let v = -155 - -156. What is the common denominator of 127*v/(-34) - (1 + -5) and 101/4? 68 Let d(j) = j**3 - 417*j**2 + 1662*j - 4126. Let q(b) = 26*b**2. Suppose 4 = -5*n - 1. Calculate the lowest common multiple of d(413) and q(n). 52 Let w = 592 - 330. Suppose -2*y = -0*t + t - 71, 0 = -4*t + 3*y + w. Let s = 100 - t. What is the smallest common multiple of 30 and s? 330 Suppose 0 = -15*r - 4 + 214. Suppose -r*w = -10 - 18. Calculate the lowest common multiple of w and (-8)/((1 - 0) + -2). 8 Suppose 0 = -3*w - 94*w + 485. What is the least common multiple of -1 - (-34 - (-1 + 1)) and w? 165 Let h = 20899 + -4200679/201. Find the common denominator of 23/1608 and h. 1608 Let i be (-4457)/(-682)*1221/(-2310). Let f = -1/4340 + i. Calculate the common denominator of f and -73/26. 286 Find the common denominator of -69/70 and (-30)/3 - (18089550/(-29484))/61. 8190 Let c = 5339 + -4943. Calculate the lowest common multiple of 20 and c. 1980 Let s(g) be the first derivative of -788*g**3 - g**2/2 - 5*g + 13. Let b be s(-2). Let v = b - -170311/18. What is the common denominator of 87/10 and v? 90 Suppose 3*v + 106 = t, -401*v + 4*t = -403*v - 80. Let s be ((-72)/10)/((-3)/20). Let k = v + s. What is the lowest common multiple of 12 and k? 12 Let a = -48421/12 - -4038. Let f = -111649 - -896681/8. Let k = f - 428. What is the common denominator of k and a? 24 Let d = -352343/15 + 23489. Let i = -2/1851 - 75841/46275. Calculate the common denominator of i and d. 75 Let m be (-6522)/69570*32 + 3. Let r = m + 54881/23190. What is the common denominator of 89/12 and r? 60 What is the common denominator of (-2831)/(-6270) - 14/21 and 91/22? 330 Let h = -5632 + 6002. Calculate the least common multiple of h and 37. 370 Let r = -12660002492/7617 + 1662072. What is the common denominator of r and 113/24? 60936 Suppose 23 = 5*x - 22. Let l be (-43277)/11 + (13 - x). Let v = -3933 - l. Calculate the common denominator of v and -63/5. 55 Le
{ "pile_set_name": "DM Mathematics" }
2778) composite? True Let h = 1370 - 769. Let u be 2/(-12) + (-27874)/84. Let a = u + h. Is a a prime number? True Let n(q) = -q**3 + 13*q**2 + 7*q + 2. Let r be n(5). Suppose 4*o = -4, 5*o - r = -a + 25. Is a a prime number? False Suppose 0 = -u + 24 + 9. Is ((-7620)/90)/((-2)/u) composite? True Let v = -8 - -3716. Suppose -v = -15*b + 3*b. Is b composite? True Let u = 3577 - -5604. Is u prime? True Suppose 0*p = 5*p + 5*y - 51140, 0 = -5*p - 4*y + 51138. Is p a prime number? False Suppose 0 = 357*o - 348*o - 829557. Is o a prime number? True Let x be (-2 + 44/8 + -3)*4. Is 92 - (1 - 8/x) a composite number? True Suppose m + z - 1 = -z, 4*m = 5*z + 17. Is m + -4 + 258 - 0 composite? False Let o(c) = 27*c - 13. Let a be o(5). Suppose 2*m + 16 - a = 0. Is m composite? False Let i(q) = 829*q + 3. Let c be i(-1). Let t = c + 1571. Is t a prime number? False Let s = -526 + 790. Let r = -123 + s. Is r a prime number? False Suppose 5676 = h - 7830. Suppose f = -5*f + h. Is f a prime number? True Let m(k) be the first derivative of 24*k**2 + 11*k - 366. Let s(a) = 2*a. Let f be s(2). Is m(f) a composite number? True Let y = -42 - -54. Suppose -b - 3*b = y, -4*b = -3*j + 1554. Is j a composite number? True Let q be (-21 + (-4 - -8))/(-1). Suppose 0 = 4*o - q + 1. Suppose -307 = -o*h + 3*d, -5*h + d = 3*d - 401. Is h composite? False Suppose 2 + 4 = 3*g. Suppose 5*v - 15 = g*v - 4*l, 2*l = 3*v - 15. Suppose 3*m + v*j - 200 = 0, 0 = -2*m - 4*j - 6 + 140. Is m composite? True Suppose 0 = m + 4 - 2. Let k be 5 - 4/(m - -6). Suppose -694 = 2*o - k*o. Is o composite? False Suppose 15622 = 3*n - 15*d + 10*d, 4*n - 4*d - 20832 = 0. Is n composite? False Suppose h = -3*k + 38279, -3*k + 5*h + 29940 = -8363. Is k composite? True Let j(u) be the second derivative of -u**3/3 + 751*u**2/2 - u. Let w = 33 + -33. Is j(w) composite? False Let o = -11829 - -97760. Is o a prime number? True Let c(x) = 86*x**2 - 41*x + 19. Is c(10) a composite number? False Let q(m) = -646*m + 25. Is q(-7) a prime number? True Let z(v) = 21*v**2 + v - 11. Suppose -l = 4*k + 71 + 14, 2*k + 4*l + 46 = 0. Let t = -16 - k. Is z(t) composite? True Let y(n) = 2*n + 1. Let z be y(8). Let c = z + 38. Is c composite? True Let d be 2*-1 + 583*4 + -2. Suppose 0*v + 12*v - d = 0. Is v a composite number? True Let g(b) = b**2 + 13*b + 3. Let s be g(-13). Suppose 0*i - h + 10 = s*i, -4*h = 8. Suppose t - i*t = -267. Is t composite? False Suppose d + 26076 = 13*d. Is d a prime number? False Let z = 38 + -28. Is (-9236)/(-10) + -5 - (-4)/z composite? False Suppose 4*i + 3*w - 20515 = -6585, 2*i - 2*w - 6972 = 0. Suppose 4*y - 2*f - i = 2*f, 2*y - 1733 = 5*f. Suppose b - y = -b. Is b a prime number? False Let j = 561 + -381. Let b be (38/(-4))/((-6)/j). Let s = b - 136. Is s a composite number? False Let a be (109 - (1 + -2))*1. Suppose 4*k - 14 = -2, 3*k = 5*i + 9. Suppose i = -0*l - 2*l + a. Is l a prime number? False Suppose -i + 5*n + 1181 = 0, -4*i - 2*n = -6*n - 4756. Is i composite? True Suppose 2*v = 9*v. Let p be (1 + v)*0/2. Suppose 2*m + p*m - 1106 = 0. Is m a prime number? False Suppose -f + 54 = 10. Let l = f + 5. Is l prime? False Suppose l = -2*l + 30. Suppose -l*b + 9387 = -b. Is b a composite number? True Let j(v) = -7*v**2 - v + 19. Let o(r) = 4*r**2 + r - 10. Let l(i) = 6*j(i) + 11*o(i). Let a be l(-2). Suppose -178 = a*k - 1016. Is k prime? True Let v(s) = -82*s - 16 - 6 + 35 + 18. Is v(-9) a composite number? False Let s = 3 - 0. Suppose 4*h = 6*t - t - 1655, -5*t + 2*h + 1655 = 0. Suppose -2*u + s*k = -662, 2*k - t = -3*u + 2*u. Is u prime? True Suppose -4*c - 7*s + 10*s + 31571 = 0, 5*c = -s + 39478. Is c composite? True Let l(h) be the third derivative of -h**6/12 + h**3/6 + 5*h**2. Let u be l(-1). Suppose 1490 = -9*q + u*q. Is q composite? True Let m = -12 + 28. Let x be m/(-24) - 928/(-6). Let r = x - 39. Is r prime? False Let j(f) = 18*f**2 + 4*f + 219. Is j(20) composite? False Suppose -f + 14 - 9 = 0. Let t = f + -3. Suppose -3*u + 51 = -t*u. Is u a prime number? False Let g = 2717 + -1048. Let m = -984 + g. Is m composite? True Suppose 0 = 6*w - 3*w - 1902. Let f = w - 135. Is f composite? False Let d = -130 + 919. Let n = d + -254. Suppose -4*l - 621 = -3*s, -3*s = -2*l - 92 - n. Is s a prime number? True Let g(d) = d + 3. Let v be g(2). Suppose x = -4, 2*f + x = v*x + 1002. Is f prime? False Suppose -6*a + 5536 + 122 = 0. Is a composite? True Let b(g) = -4*g**3 + 4*g**2 - 2*g - 11. Is b(-9) prime? False Suppose -6*p + 11338 = -10202. Let q = p + -1729. Is q a composite number? False Let v(j) = 6*j**3 - 3*j**2 - 4*j + 5. Let p(n) = 5*n**3 - 3*n**2 - 4*n + 4. Let x(b) = -3*p(b) + 2*v(b). Let z be x(-4). Let y = z - 125. Is y composite? False Let d = 7037 + -694. Is d prime? True Let o(y) = -2*y**2 + 7*y**3 - 10*y**3 - y + 5*y**3 + 15 - y. Let k(h) = h**2 + 9. Let r be k(0). Is o(r) a prime number? False Let f be (6/2*-1)/(-18 - -17). Let h(a) = -3 + 4*a + 7*a**2 + 2*a**2 - 1. Is h(f) composite? False Let i(f) be the second derivative of -f**4/12 - 11*f**3/6 - 7*f**2 - 11*f. Let s be i(11). Let p = -55 - s. Is p composite? True Let i(j) be the first derivative of -3 + 14*j + 13/2*j**2. Is i(11) a prime number? True Suppose 2*y - 2*b = 464, 3*b = 2*y - y - 242. Let a = y - 158. Is a prime? False Suppose 4*w - 7*w + 9 = 0. Suppose 4*g = 5*o - 1255, -w*o + 3*g + 1095 = 342. Is o composite? False Suppose -140661 - 5973 = -6*m. Is m a composite number? False Suppose 2*c - 3773 = -9*c. Suppose -4*t = 2*g - 444, -t + 4*t - c = -4*g. Is t a prime number? True Suppose 8089 = 3*j - 23504. Is j composite? False Let k(l) = 16*l**2 - 2*l + 6. Let r be k(4). Let j = -209 - -213. Suppose o = -j*a + 5*a - r, 3*o + 513 = 2*a. Is a a composite number? True Suppose 2*b - 49 = 145. Let d(q) = q**2 - 9*q - 14. Let l be d(11). Suppose -3*v + b = -l. Is v a prime number? False Let c(i) = i**3 + i + 3. Let d be c(0). Suppose x + 0 = d. Suppose -x*q = 0, 396 = 5*m - 3*q - 719. Is m a composite number? False Suppose -94895 = -13*v - 16128. Is v composite? True Let u be (-8 - -14)*825/2. Is ((-8)/(-4) - 0) + u a composite number? False Suppose 0 = 2*d + 4*d + 4962. Let a = d + 1786. Is a a prime number? False Let g = -10273 + 20040. Is g a prime number? True Let n be -24*((-140)/8)/(-7). Let g = -7 - n. Suppose g = 5*k + 18. Is k a composite number? False Let y(a) = -425*a - 16. Is y(-19) a composite number? False Suppose -20 = -4*m, -2*m = 4*h + m - 12403. Is h composite? True Suppose 3*v = 3*j - 12, 0 = -4*v - 3*j + 8 + 11. Is v/((2/(-1838))/(-10 - -9)) composite? False Suppose 2*o - y = 37595, -5*o - 7*y = -12*y - 93990. Is o composite? False Suppose -264 = -a + 5*a. Is ((-6)/12)/(3/a) a composite number? False Let q(d) = -242*d - 48. Is q(-35) prime? False Suppose 0 = -2*o - 0*o + 10, -5*q + 60 = o. Suppose 4*i + 72 = -2*n, -5*i - 72 = -n + q. Let c = 196 + i. Is c prime? True Let j be (24/(-15))/(-4)*170. Suppose c = 3*c + j. Let b = c + 47. Is b prime? True Let z(l) = 5*l**3 - 3*l**2 + 4*l - 2. Let o(u) = -u**2 - 6*u + 2. Let w = -21 - -15. Let x be o(w). Is z(x) a prime number? False Is (-13291)/(-3)*((10 - 4) + 9) prime? False Suppose j = 5*j + f - 4121, 5*j - 5*f - 5120 = 0. Let u = -697 + j. Let x = 1473 - u. Is x prime? False Suppose -8*s = 3*s - 22. Let l(t) = 50*t**3 - 3. Is l(s) composite? False Let a(i) = 2*i - 5. Let u be a(7). Let y(w) = 0*w - 5 + u*w - 3. Is y(5) a composite number? False Suppose l - 7258 - 9393 = -k, l - k = 16647. Is l composite? False Let f = -2264 - -4121. Let l = f + -1004. Is l prime? True Let a(q) = 14*q**3 - 3*q**2 + 10*q + 1. Let f(h) = 28*h**3 - 6*h**2 + 19*h + 2. Let c(n) = -7*a(n) + 4*f(n). Is c(6) a composite number? False Suppose -t = 3*s - 1288 - 1073, -5*t = 5*s - 11765. Suppose -a - l = -1182, -a = a + 5*l - t. Is a prime? True Suppose -28091 = -3*v - 4*l, 8*l - 4*l = -5*v + 46805. Is v composite? True Let j = 16 - 317. Let p = j - -1064. Is p a composite number? True Suppose -39*c + 15192 = -15*c. Is c prime? False Let q be 35/2*(-684)/(-95). Suppose 9*g + q = 3*g. Let w = g - -103. Is w prime? False Suppose 105*v - 97*v = 5528. Is v prime? True Let r(g) be the second derivative of g**4/6 + g**3/2 - 11*g**2/2 - 5*g. Is r(-8) a prime number? Fal
{ "pile_set_name": "DM Mathematics" }
he second derivative of 1436*i**5*y**2 + 2*i**4*y**2 + 26*i*y**2 + 8*i*y wrt i. 28720*i**3*y**2 + 24*i**2*y**2 What is the derivative of -47*n**4 + n**3 - 1473? -188*n**3 + 3*n**2 Find the third derivative of 2*b**4*v**3 + b**4*v - 2*b**3*l*v - b**2*v**2 + 3*b*l*v**2 - 18*b*l*v - 3*v**3 wrt b. 48*b*v**3 + 24*b*v - 12*l*v Differentiate -2544*z + 1057. -2544 What is the second derivative of -190*h**5 - 8*h - 3 wrt h? -3800*h**3 Find the second derivative of z**4 + z**3 + 863*z**2 - 129*z + 5. 12*z**2 + 6*z + 1726 Differentiate 233*h*o**2 - 268*o**2 - 2*o with respect to h. 233*o**2 Find the second derivative of -2*s**5 + 1588*s**4 + 215*s + 22. -40*s**3 + 19056*s**2 Find the first derivative of -2129*x + 5902 wrt x. -2129 Find the third derivative of -2*v**5 + 115*v**4 + 3*v**3 + 3*v**2 - 2*v + 10. -120*v**2 + 2760*v + 18 What is the second derivative of 209*b**2*o**3 + b**2*o**2 + 3*b - o**3 + 10 wrt b? 418*o**3 + 2*o**2 What is the third derivative of 7*t*y**6 + t*y**2 + 10*t*y - 38*y**4 - 2*y**3 + 7*y**2 wrt y? 840*t*y**3 - 912*y - 12 Differentiate -19884*m**3 - 11630 wrt m. -59652*m**2 What is the derivative of 289*g*i**2 + i**2 + 863 wrt g? 289*i**2 Find the first derivative of -15*f**3 + 5*f**2 - 376. -45*f**2 + 10*f What is the third derivative of 2141*i**5 + 4*i**3 + 17733*i**2? 128460*i**2 + 24 Find the third derivative of 1002*p**6 - p**5 - 872*p**2. 120240*p**3 - 60*p**2 What is the third derivative of -736*d**3*x**3 + 2*d**3*x**2 - 119*d**2*x**2 - d*x**3 wrt x? -4416*d**3 - 6*d What is the second derivative of -3*l**2*n*q + l**2*q**2 + 2*l**2 - 3*l*n*q**2 + 40*l*q**2 wrt l? -6*n*q + 2*q**2 + 4 What is the second derivative of -713*j**2 - 5*j - 4 wrt j? -1426 Find the first derivative of 2*n**2*r + 2*n**2 - n*r*y**2 + 4*n*y**2 + r*y**2 - 3*r*y - 79*r wrt n. 4*n*r + 4*n - r*y**2 + 4*y**2 Differentiate 362*c**2 + c - 829 with respect to c. 724*c + 1 What is the third derivative of -17*n**4*q**3 + n**4 - 37*n**3*q**3 + 2*n**2*q**3 + 40*n**2*q - 5*n*q**3 wrt n? -408*n*q**3 + 24*n - 222*q**3 What is the second derivative of 2*l**2*v - 51*l**2 - 5*l*v - 8*v wrt l? 4*v - 102 What is the derivative of -22*o - 21? -22 What is the derivative of 4603*d - 6017 wrt d? 4603 Find the first derivative of 12*h**2*t**2 - 16474*h**2 + 5*h*t**2 - 26*h*t wrt t. 24*h**2*t + 10*h*t - 26*h What is the second derivative of 2*m**3*s - 44*m**2*s**2 + 467*m*s**2 - m*s wrt m? 12*m*s - 88*s**2 What is the first derivative of -1536*g*y - 5*y + 28 wrt g? -1536*y What is the second derivative of 28*a**3 + a**2 + 471*a? 168*a + 2 Find the second derivative of -3126*i**5 - 3312*i. -62520*i**3 Differentiate 149*j**4 - 6*j**2 - j + 4630. 596*j**3 - 12*j - 1 Differentiate -2*r**3 - 170*r**2 - 5*r - 1400. -6*r**2 - 340*r - 5 Differentiate 5*j**4*w**2 - 270*j**4 - 2*w**2 - 28*w - 2 with respect to j. 20*j**3*w**2 - 1080*j**3 What is the second derivative of n**3 + 4*n**2 + 124*n wrt n? 6*n + 8 Find the first derivative of -46*c**4 + 6*c**3 + 3221. -184*c**3 + 18*c**2 What is the third derivative of -30*q**5 - 904*q**2? -1800*q**2 Differentiate 4*m**3*s**4 + 186*m**3*s**3 + 1766*m**3 with respect to s. 16*m**3*s**3 + 558*m**3*s**2 Find the first derivative of 3*v**4 + 1710*v**3 + 2*v**2 + 7493 wrt v. 12*v**3 + 5130*v**2 + 4*v Find the second derivative of j**3*s**2 - j**3*s + 82*j**2*s - j*s**3 + 55*s**4 wrt s. 2*j**3 - 6*j*s + 660*s**2 Find the second derivative of 4464*m*w**2 + 1626*m*w + m + 2*w wrt w. 8928*m What is the third derivative of 785*i**3 - 1772*i**2? 4710 Find the second derivative of 470*h**2 + 704*h. 940 What is the second derivative of -1525*p**3 + 49*p - 3? -9150*p What is the third derivative of 2*c**6 - 18*c**5 - 41*c**4 - 179*c**2 + 2 wrt c? 240*c**3 - 1080*c**2 - 984*c What is the first derivative of m**2*r**2 - 37*m**2*r - 398*m**2 + m*r**2 wrt r? 2*m**2*r - 37*m**2 + 2*m*r What is the derivative of -1007*v**3 - 1893 wrt v? -3021*v**2 What is the derivative of -2*c**2*y*z**3 + 112*c**2*y*z - 2*c**2*z**3 - 4*c**2*z**2 - 3*c wrt y? -2*c**2*z**3 + 112*c**2*z Find the third derivative of 179*b**3*q - 69*b**2 - b*q + b wrt b. 1074*q What is the third derivative of 261*g*p**3 - 28*g*p - 3*p**2 wrt p? 1566*g What is the first derivative of -28*t**3 + 3*t + 141 wrt t? -84*t**2 + 3 What is the third derivative of 129*d**3*u**3 - 3*d**3*u**2 + 49*d**3*u - 4*u**3 wrt u? 774*d**3 - 24 Find the third derivative of -626*s**4 - 55*s**2 + 2*s wrt s. -15024*s Find the second derivative of -3299*b*l**2 - b + l - 31 wrt l. -6598*b What is the derivative of -2341*y**2 + 7966 wrt y? -4682*y What is the first derivative of -44*a**4 + 18*a**3*w**2 + 56*w**2 - 25 wrt a? -176*a**3 + 54*a**2*w**2 What is the third derivative of -6*h**4*i**3 + 28*h**4 + h**3*i + 4*h**3 - 2591*h**2*i**3 - 4*h**2 wrt h? -144*h*i**3 + 672*h + 6*i + 24 What is the third derivative of 90*f*j**4 + 4*f*j**2 + 317*f - 4*j**6 - 1 wrt j? 2160*f*j - 480*j**3 Find the third derivative of 96*t**4 + 7*t**2 - 2*t. 2304*t Find the first derivative of 9*g**4*u - 24*g*u**3 - 67*u**3 wrt g. 36*g**3*u - 24*u**3 What is the second derivative of -309*a**2*j**2 + 74*a*j + 3*a - 2*j**2 wrt a? -618*j**2 Find the first derivative of 682*v**2 + 940. 1364*v Find the third derivative of 2*o**2*t**3 - 8*o**2*t**2 - 2*o**2 - 4*o*t**5 - 7*o*t + 8*t**3 - 3 wrt t. 12*o**2 - 240*o*t**2 + 48 Find the second derivative of 2*k**4 - 4*k**3 - 94*k**2 - 6204*k. 24*k**2 - 24*k - 188 What is the derivative of 12694*b**3 + 18767? 38082*b**2 What is the third derivative of 12*h**6*k**3 + 4*h**4*k**3 + h**3 - 4*h**2*k**3 + 10*k**3 wrt h? 1440*h**3*k**3 + 96*h*k**3 + 6 What is the first derivative of 50*s**2 + 173 wrt s? 100*s Differentiate 481*f**3 - 299 wrt f. 1443*f**2 What is the third derivative of -3667*p**4 + 9*p**2 - 42*p? -88008*p Find the third derivative of 6*x**5 + 14*x**4 + 1416*x**2. 360*x**2 + 336*x What is the derivative of -6739*q*s + 10411*q wrt s? -6739*q What is the second derivative of 3788*p**4 - 6064*p wrt p? 45456*p**2 Differentiate -2*k**3 - 208*k + 3340 wrt k. -6*k**2 - 208 Differentiate -j*o + 449*j + 60*o**4 + o**2 with respect to o. -j + 240*o**3 + 2*o What is the derivative of 4*h*o + 5*h - 56*o + 22 wrt o? 4*h - 56 What is the third derivative of -8919*j**2*r**3 + 581*j**2*r - 6*j*r**2 wrt r? -53514*j**2 Find the second derivative of -361*i**3*w**2 - 2*i**3*w + 3*i**2*w**2 - 3832*i*w + 2*w wrt w. -722*i**3 + 6*i**2 Find the third derivative of -19*b*h**3*n**2 + 10*b*h**2*n**2 - 2*b*h**2*n + 147*h**3*n**2 - 5*h**2*n - h**2 - 2*n**2 wrt h. -114*b*n**2 + 882*n**2 What is the third derivative of a**3*k**3*o - 110*a**3*k*o - 4*a**2*k**3 - 41*a*o - 2*k**3*o wrt a? 6*k**3*o - 660*k*o Find the second derivative of -2*k**5*n + 3979*k**2*n + 68*k*n - 2*k - 87 wrt k. -40*k**3*n + 7958*n What is the first derivative of 2*j**3*m - j**3 - 101*j*m**3 + 100*j wrt m? 2*j**3 - 303*j*m**2 Find the third derivative of -1780*y**3 - y**2 - 2*y - 22 wrt y. -10680 What is the derivative of 19*a*k - 191*a - 3*k**2 - 3*k - 2 wrt k? 19*a - 6*k - 3 What is the third derivative of 20303*q**6 - 4*q**2 + 10*q - 21? 2436360*q**3 What is the third derivative of 1309*y**4 + 1516*y**2 wrt y? 31416*y Find the first derivative of -2*s**3*t**2 - s**3 - 16*s*t**2 - 9*s + 23*t + 19 wrt t. -4*s**3*t - 32*s*t + 23 What is the second derivative of -3*l*u**3*w**2 + 3*l*w**2 - 6*l*w + 10*u**3*w**2 - 8*u**3*w wrt w? -6*l*u**3 + 6*l + 20*u**3 Find the second derivative of -47*j**3*v**3 - 2*j**3*v + 4*j**2*v + 54*j*v**3 - 880 wrt v. -282*j**3*v + 324*j*v What is the third derivative of 6*m**3*p**3 - 28*m**3*w + 2*m**2*p**3 + 90*m**2*p**2*w + m**2*p + 2*m*p**3*w + 3*p*w wrt m? 36*p**3 - 168*w What is the second derivative of 308*h**4 - 530*h wrt h? 3696*h**2 Find the first derivative of 147*k*t**2 - 118*t**2 wrt k. 147*t**2 Find the third derivative of 138*f**6 - f**3 + 126*f**2 wrt f. 16560*f**3 - 6 What is the third derivative of 2*p**4*r + 2*p**3*r*s**2 + 5*p**3*r*s - p**2*s**2 - p*r*s**2 - 2*r*s**2 + 4 wrt p? 48*p*r + 12*r*s**2 + 30*r*s Find the first derivative of -1515*f - 574. -1515 What is the second derivative of 22412*c**2 - 2467*c wrt c? 44824 Find the first derivative of -1088*z + 2344. -1088 What is the third derivative of 5*f*s**4 - 7*f*s*
{ "pile_set_name": "DM Mathematics" }
iven that 2*a**2/11 + 318005580*a/11 + 12640943613892050/11 = 0. -79501395 Suppose 2*r**5 + 2019502*r**4 + 509813687054*r**3 + 7646878149554*r**2 + 32116452829552*r + 24979386347552 = 0. Calculate r. -504868, -7, -1 Determine y so that -3*y**5 - 363*y**4 + 135666*y**3 - 10099080*y**2 + 254728800*y - 1193616000 = 0. -307, 6, 60 Determine t, given that -t**5/9 + 3250*t**4/9 + 26053*t**3/9 + 35846*t**2/9 - 8684*t/3 - 4344 = 0. -6, -2, -1, 1, 3258 Suppose 2*j**5/7 - 19416*j**4/7 - 77702*j**3/7 + 58252*j**2/7 + 194256*j/7 - 155392/7 = 0. Calculate j. -4, -2, 1, 9712 Solve -4*g**2 + 9658332*g - 38633264 = 0. 4, 2414579 Let 4*p**3 + 948712*p**2 - 1897436*p + 948720 = 0. Calculate p. -237180, 1 Solve 4*r**3 + 53368*r**2 - 25625796*r - 25679160 = 0. -13806, -1, 465 Determine w, given that 21*w**3/4 - 162543*w**2/8 + 39317265*w/2 - 11232675/8 = 0. 1/14, 1935 Suppose -2*z**4 + 8022*z**3 - 95994*z**2 + 71938*z + 175956 = 0. Calculate z. -1, 2, 11, 3999 Factor -4*f**2 - 3654160*f. -4*f*(f + 913540) Find c, given that 3*c**4/4 + 13914*c**3 + 1440972*c**2 + 37412544*c = 0. -18448, -52, 0 Find l such that -3*l**3 + 8829834*l**2 + 132448143*l + 123618306 = 0. -14, -1, 2943293 Find l such that -603*l**2 + 1938*l + 17400 = 0. -4, 1450/201 Factor q**3 + 141*q**2 - 9148*q + 123648. (q - 28)*(q - 23)*(q + 192) Let 2*v**2/3 + 22540*v/3 + 10934192/3 = 0. What is v? -10762, -508 Find i, given that 10*i**4 - 33315*i**3 - 1092835*i**2 - 1564260*i = 0. -31, -3/2, 0, 3364 Solve -4*i**4 + 5608*i**3 - 2690244*i**2 + 509779088*i - 29283468800 = 0 for i. 100, 347, 608 Solve h**4/11 - 2396*h**3/11 + 49875*h**2/11 = 0 for h. 0, 21, 2375 Factor -115*v**2 + 4160*v - 720. -5*(v - 36)*(23*v - 4) Factor 4*j**4/5 - 220564*j**3/5 - 220568*j**2/5. 4*j**2*(j - 55142)*(j + 1)/5 Determine a so that -12*a**3 + 43773*a**2/4 - 2236323*a - 120810915 = 0. -705/16, 478 What is y in y**3/4 - 3956223*y**2/4 + 3912927084543*y/4 - 3912923128321/4 = 0? 1, 1978111 What is j in 39*j**5 - 3210*j**4 + 35346*j**3 - 123180*j**2 + 63975*j + 225750 = 0? -1, 43/13, 5, 70 Solve -3*g**5/8 + 14175*g**4/8 + 170739*g**3/4 + 1068225*g**2/4 + 2850525*g/8 - 5342625/8 = 0 for g. -15, -5, 1, 4749 Solve 2*l**3 - 382692*l**2 - 1530792*l - 1530800 = 0. -2, 191350 Factor -2*d**3/7 - 428488*d**2 - 1124559043210*d/7 + 2249130084100/7. -2*(d - 2)*(d + 749855)**2/7 Factor t**2/12 - 427163*t/3 + 22212307/12. (t - 1708639)*(t - 13)/12 Factor -i**3 - 21997*i**2 - 124714128*i - 40888482624. -(i + 349)*(i + 10824)**2 Factor 95*l**2 - 93730*l - 2010225. 5*(l + 21)*(19*l - 19145) What is g in -6*g**4/5 - 221406*g**3/5 - 309888*g**2 + 3984552*g/5 = 0? -36894, -9, 0, 2 Find u such that u**3 + 2167*u**2 + 863691*u + 861525 = 0. -1641, -525, -1 Factor -1178*v**4 + 2509*v**3 - 1484*v**2 + 153*v. -v*(v - 1)**2*(1178*v - 153) Solve -3*s**3/2 - 31968*s**2 + 383697*s/2 - 287793 = 0 for s. -21318, 3 Solve 61*c**4 + 611*c**3/2 - 12683*c**2/2 - 52*c = 0. -13, -1/122, 0, 8 Find t, given that -2*t**2/3 + 320546660*t/3 - 12843770154644450/3 = 0. 80136665 Factor -2*f**2/7 - 14514*f/7 + 3521240/7. -2*(f - 235)*(f + 7492)/7 Determine s, given that -3*s**5 + 474336*s**4/5 - 4931532*s**3/5 + 379344*s**2 = 0. 0, 2/5, 10, 31612 What is b in -2*b**5 - 7976*b**4 + 47930*b**3 + 7976*b**2 - 47928*b = 0? -3994, -1, 0, 1, 6 Factor 5*g**2/4 + 203335*g/4. 5*g*(g + 40667)/4 Factor 154*o**2 + 53774186*o + 1396732. 2*(o + 349183)*(77*o + 2) Factor 5*q**3 - 32445*q**2 - 30451205*q - 30418755. 5*(q - 7321)*(q + 1)*(q + 831) Factor l**2 - 3398964*l + 64579955. (l - 3398945)*(l - 19) Let 4*a**2 - 268836*a + 29255600 = 0. What is a? 109, 67100 Factor -3*n**3 + 31956*n**2 - 80241408*n - 26229878784. -3*(n - 5472)**2*(n + 292) Factor w**3/5 - 176*w**2/5 + 5353*w/5 - 5838. (w - 139)*(w - 30)*(w - 7)/5 Factor -v**2/3 + 4226711*v/3 - 4226710/3. -(v - 4226710)*(v - 1)/3 Let 14141*n**2/3 + 10*n = 0. What is n? -30/14141, 0 Determine h, given that 3*h**3 + 1461*h**2 - 127707*h + 369891 = 0. -563, 3, 73 Factor -h**2/4 - 13121*h/4 + 111673/2. -(h - 17)*(h + 13138)/4 Factor -5*w**3 - 231150*w**2 - 12471165*w - 168311520. -5*(w + 27)**2*(w + 46176) Factor -4*r**3 + 516016*r**2 - 16726847956*r + 5463809431080. -4*(r - 64337)**2*(r - 330) Factor -4*u**2 + 8745516*u - 17491016. -4*(u - 2186377)*(u - 2) Suppose b**2 + 2060808*b + 14425607 = 0. What is b? -2060801, -7 Factor 2*y**2/3 + 6637894*y + 19913680/3. 2*(y + 1)*(y + 9956840)/3 Factor -2*b**2/7 + 26308*b/7 + 35134944/7. -2*(b - 14376)*(b + 1222)/7 Factor -v**2/5 + 30956*v/5 - 6975483/5. -(v - 30729)*(v - 227)/5 Factor -y**3/3 - 21062469*y**2 - 332720689750736*y + 998162132439616/3. -(y - 1)*(y + 31593704)**2/3 Determine a so that -a**3/4 - 98273*a**2/2 - 2414739551*a - 33796723646 = 0. -98266, -14 Factor -z**2/2 - 108543*z + 17156035/2. -(z - 79)*(z + 217165)/2 Solve -2*t**3/13 + 25820*t**2/13 - 1516754*t/13 + 4317936/13 = 0 for t. 3, 56, 12851 Solve -2*y**4/9 - 50268*y**3 + 1357256*y**2/9 + 50268*y - 150806 = 0 for y. -226209, -1, 1, 3 Solve 2*d**4/3 - 164*d**3/3 - 1298*d**2/3 + 116804*d/3 + 39312 = 0 for d. -26, -1, 28, 81 Factor -p**2 + 9316*p + 524832. -(p - 9372)*(p + 56) Solve z**4/5 - 409*z**3/5 + 19237*z**2/5 + 16461*z + 62658/5 = 0 for z. -3, -1, 59, 354 Factor 4*t**2 - 4030184*t + 8060352. 4*(t - 1007544)*(t - 2) Find a such that -3*a**2/4 - 23869893*a/4 + 53707320 = 0. -7956640, 9 Suppose -4*k**2 + 95652240*k - 571834438563600 = 0. What is k? 11956530 Solve 33*q**5 - 5743*q**4/2 + 114597*q**3/2 + 4007*q**2/2 - 114663*q/2 + 868 = 0 for q. -1, 1/66, 1, 31, 56 Factor s**3 - 2756226*s**2 - 16537392*s. s*(s - 2756232)*(s + 6) Solve g**2/5 - 11326536*g/5 + 32072604439824/5 = 0 for g. 5663268 Suppose h**3 + 521047*h**2 + 7815480*h = 0. Calculate h. -521032, -15, 0 Factor 4*g**2/7 + 8000472*g/7 + 4000472013924/7. 4*(g + 1000059)**2/7 Let -q**5 - 1789*q**4/2 + 542947*q**3/2 - 135513*q**2 = 0. Calculate q. -1134, 0, 1/2, 239 Let -2*o**4/5 + 284*o**3/5 + 1326*o**2 + 35208*o/5 = 0. Calculate o. -12, -9, 0, 163 Solve 22*p**2 + 159166*p - 347376 = 0. -7237, 24/11 Find u such that -2*u**3/5 + 16082218*u**2 = 0. 0, 40205545 Find n, given that 4*n**2 + 370381120*n + 8573885878278400 = 0. -46297640 Factor -w**2/6 + 30661*w/3 + 1208320. -(w - 61440)*(w + 118)/6 Factor o**2 - 1506226*o + 567179190769. (o - 753113)**2 Determine t, given that -2*t**4 - 11088*t**3 + 177774*t**2 - 811580*t + 1000800 = 0. -5560, 2, 5, 9 Factor 5*b**3 + 7115*b**2 + 49470*b - 127440. 5*(b - 2)*(b + 9)*(b + 1416) Determine k so that 2*k**2/7 + 11728*k/7 + 13417496/7 = 0. -4306, -1558 Find p such that 5*p**2 - 61920*p + 185715 = 0. 3, 12381 Solve g**3 - 52477376*g**2 + 688468538051792*g + 5507751662966912 = 0 for g. -8, 26238692 Solve -265*x**5 - 246985*x**4 + 4015125*x**3 + 322825*x**2 - 4014860*x - 75840 = 0. -948, -1, -1/53, 1, 16 Let 3*b**2/7 - 1205415*b/7 = 0. What is b? 0, 401805 Determine v so that 5*v**3 - 102355*v**2 + 6123300*v = 0. 0, 60, 20411 Suppose -2*t**2/13 - 17888596*t/13 - 40000233356402/13 = 0. Calculate t. -4472149 Let 4*b**3 - 37280*b**2 + 1338192*b - 12032064 = 0. What is b? 18, 9284 Factor w**4/4 + 188583*w**3/4 + 11854515963*w**2/4 + 248395575983381*w/4. w*(w + 62861)**3/4 Factor 1738*b**2 + 13932*b + 224. 2*(b + 8)*(869*b + 14) Let -3*r**4 + 30186*r**3 - 74339487*r**2 - 8054887776*r - 15812176068 = 0. Calculate r. -102, -2, 5083 Suppose -20*q**3/3 - 158*q**2 + 11790*q - 45136/3 = 0. Calculate q. -56, 13/10, 31 Factor i**2/2 - 223461*i/2 - 6482051. (i - 223519)*(i + 58)/2 Determine o so that 363*o**5/4 + 1257894*o**4 + 5143473*o**3 - 26001483*o**2/2 + 32632785*o/4 - 3117825/2 = 0. -13857, -6, 5/11, 1 Factor -5*h**3 - 18390*h**2 + 557075*h + 3244500. -5*(h - 35)*(h + 5)*(h + 3708) What is f in -4*f**3 + 2776*f**2 - 151404*f - 479304 = 0? -3, 63, 634 Suppose 2265*z**5 + 43032*z**4 + 224178*z**3 + 183168*z**2 - 243*z = 0. Calculate z. -9, -1, 0, 1/755 Let 3*y**4/4 + 14373*y**3/4 + 257715*y**2/4 - 129357*y/4 - 1159839/2 = 0. What is y? -4773, -18, -3, 3 Factor -3*v**4 + 24871359*v**3 - 51548745515925*v**2 + 154646012705625*v. -3*v*(v - 4145225)**2*(v - 3) Suppose -2738*x**3/7 - 5372918*x**2/7 - 373077680*x + 3420156600 = 0. What is x? -36470/37, 9 Let -l**5 - 4501*l**4 + 204761*l**3 + 868529*l**2 + 1104776*l + 445508 = 0. Calculate l. -45
{ "pile_set_name": "DM Mathematics" }
- 5 = 0, n = -6*s + 2*s - 2 for n. 2 Solve 2*i + u + 8 = 0, 0*u = 3*i + u + 11 for i. -3 Solve 4 = -3*d + 4*w + 2, -5*d - 9 = -w for d. -2 Solve 3*p - 3*z + 24 = 0, 3*p - 6 = 4*z - 36 for p. -2 Solve -4*d + 15 = -c, d - 2*c - 3 = -1 for d. 4 Solve -3*j - 5*k + 13 = -17, 0 = 2*j - 3*k - 1 for j. 5 Solve 3*z = 21*i - 16*i - 22, 0 = -i + 3*z + 14 for i. 2 Solve 0 = 5*j - t - 11, -6 = -2*j + t - 4 for j. 3 Solve 7*q + 3*i - 15 = 4*q, -4*q = -2*i - 20 for q. 5 Solve x = 4*n - 15, 0 = 3*x - 14*n + 12*n + 5 for x. 1 Solve -11*c + 6*c + 1 = -2*j, -4*c = 2*j - 8 for j. 2 Solve q = -q - 3*k + 8*k, 3*q = -5*k for q. 0 Solve -2*x + 4*q + 9 = -9, -3 = 4*x + 5*q for x. 3 Solve 2*m - 3 = 3*d, -9*m + 5*m + 4*d = 0 for m. -3 Solve 14*d - 10*d - 2 = 3*i, 2*i + 6 = 5*d for i. 2 Solve 6*f - 5*w = 2*f - 7, 4 = -3*f + 5*w for f. -3 Solve -3*q - 6 = 3*y, -17*q - 4 = y - 15*q for y. 0 Solve -2*w = 3*f + 10, 0*f + 25 = -5*w - 3*f for w. -5 Solve 14 = 4*b + p, -6*b + b + 5*p = -5 for b. 3 Solve -f = 2*n - 1, n + 5*f = 10 + 4 for n. -1 Solve 0 = i - l - 7, 0 = -3*l - 6 for i. 5 Solve 0 = 3*z - l + 5*l + 32, 5*z - 2*l = -10 for z. -4 Solve -4*c - 4*j - 4 = -3*c, 5*j = -2*c - 5 for c. 0 Solve 2*y = s - 1, 3*y - s + 4 - 3 = 0 for y. 0 Solve 15 = 3*z + 28*p - 25*p, 2*z + 5*p = 16 for z. 3 Solve 2*c + 3*d - 8 + 2 = 0, -4*c = 5*d - 8 for c. -3 Solve -2*s - 8 = -4*l, 11 - 3 = s + 4*l for s. 0 Solve -2*g - 8 = 0, 4*j + 2*g - 4 = -2*g for j. 5 Solve 4*n = 4*z + 20, 13*z + 12 = 2*n + 10*z for n. 3 Solve 14 = 5*p - 2*x + 34, x + 5 = 0 for p. -6 Solve -8*w + 13*w + 2*i + 10 = 0, 0 = 3*i for w. -2 Solve -2*s = -6, 17 = 10*f - 11*f + 4*s for f. -5 Solve j + 3 = 2*k + 4, 5*j + 11 = 2*k for j. -3 Solve -2*v = 0, 12 = -k + v + 14 for k. 2 Solve j + 8 = 3*c, 5*c - 5*j - 8 = 22 for c. 1 Solve 3*z + c + 0*c = 0, 0 = -4*z + 4*c + 16 for z. 1 Solve 24*m - 22*m - 4*j = 6, 5*j = 5*m for m. -3 Solve -2*g - 6 = 4*i - 18, 0 = 3*i - 5*g - 22 for i. 4 Solve 4*o + 20 = 0, -a - 5*o - 5 = 19 for a. 1 Solve 25 + 0 = -5*l, -5*u - 4*l - 15 = 0 for u. 1 Solve -8*v + 3 = 3*l - 7*v, 4*v + 6 = -3*l for l. 2 Solve -p + u + 4 = 0, 0*u = -3*u for p. 4 Solve 0 = -a + 3*q - 2, 2*a - 21 = -3*q - 7 for a. 4 Solve 7*c + 3*r = 4*c + 21, -4*r + 12 = -4*c for c. 2 Solve 3*w + 0*w = 2*v, 5*w - 7 = v for v. 3 Solve 0 = 7*g - 11*g - 16, -4*n = 2*g for n. 2 Solve -3*v + 5*v - 4*g = -2, -2*v - 4 = -5*g for v. 3 Solve p = -3*n - 3, -n = -p + 92 - 83 for p. 6 Solve 0 = -4*r + 10*a - 5*a + 14, 0 = -4*r + 2*a + 8 for r. 1 Solve 4*d - 13 = -d + 4*g, 2 = -2*d - 2*g for d. 1 Solve -5*k - 19 = 9*v - 11*v, -2*v = 2*k + 16 for v. -3 Solve 3*b + 0*i - 17 = -4*i, 8 = 4*i for b. 3 Solve -2*r = 11*q - 12*q - 7, -5*q - 5 = 0 for r. 3 Solve 28 = 4*v - 2*m, -28 = -5*v + 2*m - 3*m for v. 6 Solve 20 = 4*x - 4*u, 5*x - 25 = -11*u + 15*u for x. 5 Solve -16*g = -13*g, -16 = -4*v + 5*g for v. 4 Solve -5*q - 30 = -2*j, -4*q + 3*j = 31 - 0 for q. -4 Solve -r + 13 = -3*j - 0*j, -4*j - 5*r - 11 = 0 for j. -4 Solve 5*w - 3*b - 27 = -b, -3 = -w - 2*b for w. 5 Solve 2*s - 11 = -p, 3*s - 5*p = -0*p - 16 for s. 3 Solve 3*o - 7 = 2*d, -4*o - 4 = 4*d - 0 for d. -2 Solve 3*r = -3*b + 3, 4*r - 2*b - 13 = -3 for r. 2 Solve j - 13 = -2*p, -3*j - 107 = -4*p - 96 for j. 3 Solve 0 = -3*t - b + 13, b = t + 2*b - 3 for t. 5 Solve r - 2 = 1, 0 = -3*z + r - 3 for z. 0 Solve -20 = 4*d + 4*w, -2*w = -5 + 17 for d. 1 Solve 4*c + 16 = -4*o, 0 = -c + 4*c - 5*o - 4 for c. -2 Solve 2*j - 3*v + 5 = -3, 5*v - 5 = -5*j for j. -1 Solve 0 = -10*o + 8*o - n + 12, 5*o + 2*n - 26 = 0 for o. 2 Solve 3*o + 9 = -p + 4, 3*o + 45 = 9*p for p. 4 Solve -5*m + 2*h = 0, 3*h = -4*m + 4*h for m. 0 Solve 16 = h - 5*p, 5*p - 16 + 44 = 3*h for h. 6 Solve 6 = -3*b - p, -20*b + 21*b + 2 = 3*p for b. -2 Solve -3*n = g + 1, g + 21 = -5*n + 16 for n. -2 Solve 6*x - 5*x - 28 = -4*b, 8 = 5*x - 2*b for x. 4 Solve -5*d - 2 = -5*q + 8, 5*q - 20 = 0 for d. 2 Solve -3*z - 2*a + 14 = 0, -16*z = -13*z - 2*a - 10 for z. 4 Solve 0 = -5*y - 3*g + 31, -5*y + g = 5*g - 33 for y. 5 Solve -4*p + t = -19, 4*p + t = 5*t + 28 for p. 4 Solve 4*b + 5 = 88*t - 85*t, -8 = 2*t + 3*b for t. -1 Solve 7 = 2*n - 1, -3*c + 26 = 5*n for c. 2 Solve 2*u + 3*s - 2 = 0, 2*u = -2*s - 2 - 0 for u. -5 Solve -6*m + q = -2*m + 24, 8 = 2*q for m. -5 Solve r - 2*c = -2, -5 + 4 = c for r. -4 Solve 0 = -2*y + 2*v + 8, -3*y - 67*v = -72*v - 10 for y. 5 Solve p + 2*o + 2 = 5*p, 3*p + 1 = -o for p. 0 Solve 0*g + 7 = 4*n - g, 3*n + 4*g = 29 for n. 3 Solve 4*w = 2*y, 3*w - 4*y + 9*y = 0 for w. 0 Solve 0 = -2*n - 4, -5*h + 8 = -29*n + 30*n for h. 2 Solve 14 = 3*z + 2*q, -3*z + 5*q + 7 = -0*z for z. 4 Solve -u = -2*h, -7*u = h - 5*u + 5 for h. -1 Solve -5*b - 2 = -22, -8 = 2*h - b for h. -2 Solve 2*d + 26 = -4*p, -2*p = 2*p - 2*d + 14 for p. -5 Solve -3*x = 3*v + 5 + 4, x = 2*v - 3 for v. 0 Solve -2*x - 323 + 337 = h, 35 = -h + 5*x for h. 0 Solve -q - 37*o + 34*o = 10, 0 = -4*q + 5*o + 28 for q. 2 Solve -7*k - 2*f = -2*k - 5, -2 = -2*k - 5*f for k. 1 Solve 3*x - 2*x + 3 = a, 4*a = 3*x + 12 for x. 0 Solve -4*x = 3*y - 6*x + 6, y - 5*x = 11 for y. -4 Solve 4*j - j + 24 = 5*f, -6 = 3*j + f for j. -3 Solve 0 = 5*s - i - 9, -s - 3 + 8 = -i for s. 1 Solve 4*x - 2 = -14, -w - 20 = 5*x for w. -5 Solve -4*g + 2*k - 1 = -3, 4*g - 7 = 3*k for g. -2 Solve -2*m - 8*y + 30 - 24 = 0, 3*m + 2*y + 11 = 0 for m. -5 Solve 2*z + 5*k + 12 + 13 = 0, 0 = -4*k - 20 for z. 0 Solve 5 + 0 = 5*r - w, -4*w = r - 22 for r. 2 Solve -5*r - 31 = 3*u, 18*r + 7 = 4*u + 15*r for u. -2 Solve 3*c + 2*l = l - 3, 5*l - 17 = c for c. -2 Solve 0 = -l + 3*d + 14, 7*l + 4*d = 6*l - 21 for l. -1 Solve -8 = -4*s, 6 = y + y + 2*s for y. 1 Solve -a = 5*i - 10, 4*a - 18*i - 4 = -20*i for a. 0 Solve -o + 2*q = -4 - 2, 0 = 3*o - 4*q - 14 for o. 2 Solve l + 1 = -2*s, -2*l - 3 = -4*s + l for s. 0 Solve 4*a - 11*q + 8*q = 4, 2*q = -4*a - 16 for a. -2 Solve f = 2*g + 8, 81*g = 78*g - f - 12 for g. -4 Solve 5*k - m - 16 = 6, k - 4*m - 12 = 0 for k. 4 Solve c + 5*s = -12, s = 72 - 75 for c. 3 Solve 5*q = -3*b - 15, 4*b = 5*q + 56 - 41 for q. -3 Solve -d + 10 = 4*f, -2*f + d = 2*d - 6 for f. 2 Solve 3*f + q = 1 + 8, 4*f = -2*q + 10 for f. 4 Solve r = -3*f - 2, 0 = 3*f - 9 + 6 for r. -5 Solve -9*k + 10*k - 5*h = 25, 5*h = -k - 15 for k. 5 Solve -t - 5*u + 16 = 2*t, 0 = 2*t + 2*u - 4 for t. -3 Solve 17 = k - 5*i, 2*k + 5*i + 19 = -7 for k. -3 Solve 0 = 2*q + p + 4*p + 22, p + 2 = 2*q for q. -1 Solve 4*v + 4 = 8*v + 4*c, 0 = -v - 4*c + 1 for v. 1 Solve -y + 6 = 2*n, -4*n + 12 = 3*y - 0*n for y. 0 Solve -1 = g + 4*k, -169*g + 5*k + 10 = -172*g for g. -5 Solve -3*z + 3*y = -2*y - 6, 0 = 6*y - 11*y for z. 2 Solve -5*n = w + 16, 0*n + 5*n + 20 = 0 for w. 4 Solve 0*r = -5*r - 4*q - 23, -13 = 3*r + 2*q for r. -3 Solve 3*m - 4*x = -24 + 33, 0 = -4*m + 5*x + 12 for m. 3 Solve 0 = -4*o - 2*j - 20, -3*o = -j + 55 - 40 for o. -5 Solve -3*q - 2*f + 5 = -2*q, -2*q - 2*f + 10 = 0 for q. 5 Solve -o - 6*s = -3*s + 14, 5*s = 4*o + 5 for o. -5 Solve -4*p - 5*v - 50 = -21, 3*p = -2*v - 13 for p. -1 Solve -3*n + 12 = -3*g, 4*g + 4*n - 63 + 47 = 0 for g. 0 Solve 3*c - 5*c - 4 = 4*v, -6 = 2*v for c. 4 Solve -2*t + 3*w - 7 = 0, -5*w = -4*w - 3 for t. 1 Solve -2*x = -4*v + 22, -4*x = -5*v - x + 32 for v. 1 Solve 0 = 3*j + q + 4*q + 40, 4*j + 3*q + 35 = 0 for j. -5 Solve v = -2*o + 7, 2*o - 3 - 1 = -4*v for o. 4 Solve 30 = -2*y + 5*u + 16, 0 = 4*y + 2*u - 20 for y. 3 Solve -21 + 26 = q - 5*p, -5*q - 21 = -2*p for q. -5 Solve -13*a + 16*a + 5 = -2*i, -4*a = 3*i + 7 for a. -1 Solve -4*j + 3*l - 8 = 0, -1 + 9 = -4*j - 2*l for j. -2 Solve -10*q + 8*q = 0, 2*o = q + 2 for o. 1 Solve -a + 20 = -0*a - 4*i, -5*a + 8 = 3*i for a. 4 Solve 0 = -z + 2, 3*b - 4 = -2*b - 2*z for b. 0 Solve -7 = -4*z - b, -2*z + b + 11 = -0*b for z. 3 Solve 5*i + 6 = 4*j, -3*i + 27 - 5 = 4*j for j. 4 Solve -w + t = -7, -3*w + 3*t + 11 = 2*t for w. 2 Solve 0 = 5*p - 4*w + 2, 4*p + 2*w - 14 = -0 for p. 2 Solve 3*n + 2*f - 10 = 0, 2*n = 3*f + 2*f - 25 for n. 0 Solve 0 = 2*n - 12 + 8, -5*d + 10 = 5*n for d. 0 Solve 0*n + 4*b = -2*n + 10, -5*b = -3*n - 18 for n. -1 Solve t - 3*d = 3*t + 4, 5*d + 10 = -5*t for t. -2 Solve 0 = 3*o - 12, 0*o - o + 16 = 4*c for c. 3 Solve 5*y + 34 = -8*n + 5*n, 2*n = -3*y - 21 for n. -3 Solve -o = 5*j - 4*o - 15, 3 = j + o for j. 3 Solv
{ "pile_set_name": "DM Mathematics" }
17 (b) -1 (c) -3 b Which is the nearest to -0.1? (a) -0.5 (b) 4/7 (c) 95 a What is the closest to 1/5 in -0.4, -24, 18? -0.4 What is the closest to -2/5 in -0.1, -0.048, -5? -0.1 What is the nearest to -2/3 in -4, 4/3, 0.8, 100? 0.8 Which is the nearest to -30? (a) -7 (b) -2 (c) -2/9 a What is the nearest to 2/7 in -1/6, -0.06, 5? -0.06 What is the nearest to -1 in 2/15, -2/3, -8/535? -2/3 Which is the closest to 0? (a) -0.44 (b) 1/3 (c) 0.2 c Which is the closest to -2? (a) -3 (b) 2/5 (c) -0.1 (d) 5 a What is the nearest to -1/3 in 5, -2, 24? -2 What is the closest to 0.2 in -2/21, 3/7, -0.2, -0.1? 3/7 What is the closest to -2/5 in 1/4, 4, -0.3, -3? -0.3 Which is the nearest to -3? (a) 0 (b) 2 (c) -1/2 (d) -0.01 c Which is the closest to 1/4? (a) 0 (b) -0.2 (c) -3 (d) 0.1 d Which is the closest to -1.1? (a) -0.4 (b) -1/6 (c) 3/5 a What is the closest to -1/7 in -4, 0.3, 2? 0.3 Which is the closest to -1/2? (a) 5/4 (b) -1/7 (c) 0.3 (d) 2/15 b Which is the closest to -1? (a) 0.9 (b) 2/5 (c) 3 (d) 0.3 d Which is the nearest to -4? (a) -2 (b) 6 (c) -0.5 a What is the closest to -1/3 in 2, -6, 0, 2/39? 0 Which is the closest to -0.5? (a) 0.05 (b) 0.5 (c) 5 (d) 4 a Which is the nearest to 2/19? (a) -0.2 (b) 4 (c) 2/17 (d) -0.009 c What is the closest to 0 in 5/4, -1, 6? -1 Which is the closest to -2? (a) 2 (b) 0 (c) 1 b What is the nearest to -0.2 in 0, 48, 4/7, 2? 0 Which is the nearest to 1/3? (a) 0.1 (b) 4 (c) -4/7 (d) -4/3 a Which is the closest to -0.1? (a) -2/3 (b) 0.05 (c) 0.07 b Which is the closest to -3/7? (a) 0.7 (b) 0.5 (c) 0.2 c Which is the nearest to -74? (a) -0.2 (b) 1 (c) 5 (d) -2 d What is the closest to 0 in -8, -4, 5, 0.2? 0.2 What is the nearest to -1 in -0.05, 5, 2/7? -0.05 What is the nearest to 2 in 281, 1, 1/8? 1 Which is the nearest to -1/3? (a) 0.21 (b) 1 (c) -0.1 (d) 0.3 c Which is the nearest to 0.22? (a) 0.4 (b) 1/4 (c) -1 b Which is the nearest to 3? (a) 1/4 (b) 4 (c) -4/7 (d) 6 b What is the closest to -2/23 in 0, 3, -3/2, 2? 0 Which is the closest to -24? (a) 0 (b) -2 (c) 3/7 (d) -0.1 b What is the nearest to -2 in 1/7, -3.9, -4, -0.06? -3.9 Which is the closest to -0.3? (a) 2 (b) -0.4 (c) 0 (d) -1 b Which is the nearest to -16? (a) -3 (b) 4 (c) 3 (d) 5 a Which is the closest to 1? (a) 0.01 (b) 2 (c) -0.06 (d) -0.5 a Which is the nearest to -2? (a) 0.1 (b) 2/11 (c) 2 (d) 0.02 d Which is the nearest to 0.67? (a) -4 (b) 0.05 (c) 1 (d) 0.3 c Which is the closest to 1? (a) 18/11 (b) -2 (c) -6 a What is the closest to -2 in 4, -3/5, -146, -2? -2 What is the nearest to 2 in -1, 0.4, -2/5, -0.9? 0.4 What is the nearest to 2 in 2/11, -0.3, 7? 2/11 What is the closest to 1/4 in 1/46, 5, -5? 1/46 What is the closest to 0 in 0.5, -2, 0.2? 0.2 What is the nearest to 0 in 5, -1/4, 2, -2/7? -1/4 What is the closest to 0 in 0.4, -2863, 0? 0 What is the nearest to -641/3 in 1/8, 0, 0.1? 0 What is the closest to -1 in -36, 2, -5, -5/2? -5/2 Which is the closest to 0? (a) 0.5 (b) -0.3 (c) 75 (d) 2 b What is the closest to 7 in -38, 0.2, -5? 0.2 Which is the nearest to 0? (a) 8 (b) -3 (c) 0.4 (d) -2/15 d Which is the nearest to 2/13? (a) 0 (b) -0.01 (c) 2/19 c What is the closest to 0 in -0.3, 7241, 2? -0.3 What is the closest to 0 in -1/10, -1/5, 0.0589? 0.0589 Which is the closest to -2/7? (a) -3 (b) 2 (c) -5 b What is the nearest to 418 in 2/7, 1/2, -9? 1/2 What is the nearest to 3/4 in -0.5, 37, -2? -0.5 Which is the nearest to 9.12? (a) 2 (b) -0.2 (c) 0.3 a Which is the nearest to 1? (a) 10 (b) 0 (c) -11 (d) -1/2 b Which is the closest to 2? (a) 4 (b) 3 (c) -1/96 b What is the closest to 2/7 in -11, -0.06, 2/3, -0.2? -0.06 Which is the nearest to 5? (a) 0.82 (b) 1/9 (c) 3 c What is the nearest to 1 in 0.02, 0, 0.1, -0.07? 0.1 Which is the nearest to -6? (a) 4 (b) 0.05 (c) -1/5 c Which is the nearest to -24? (a) 5 (b) 3 (c) 4 (d) -1 d What is the closest to 2.2 in 4, -0.3, 2/7? 4 Which is the nearest to 2? (a) -44 (b) -2 (c) -2/3 (d) 3 d What is the nearest to -0.2 in 1/4, -5, -18? 1/4 What is the closest to 1 in 2/7, 0.3, -3, 3? 0.3 Which is the closest to 2/3? (a) -1 (b) 0.5 (c) 21 (d) 0.3 b Which is the nearest to 2? (a) -0.2 (b) -0.98 (c) 3/8 (d) 0.5 d Which is the nearest to 5? (a) 0.3 (b) -4/3 (c) -1 (d) -0.2 a What is the closest to -2/3 in -0.2, 3, 1, -5? -0.2 What is the closest to -6/11 in 1/10, 3/7, -12? 1/10 Which is the closest to -0.3? (a) -0.08 (b) 10 (c) -4 (d) -2/11 d What is the nearest to 1 in 0.1, 12, 0.3, 2/9? 0.3 Which is the closest to 1/3? (a) -2 (b) 1 (c) -1/268 c What is the closest to -0.1 in -5, 1/4, -1, 7/6? 1/4 Which is the nearest to -6? (a) 2/9 (b) 5 (c) -4 (d) -5 d Which is the closest to -2/19? (a) 0.5 (b) -2/3 (c) 5 (d) 2/17 d Which is the closest to 0.06? (a) -1 (b) -0.77 (c) 0.4 c What is the closest to 1 in -5, 0.2, 0.208, -4? 0.208 What is the nearest to -16 in 1/4, 0.4, 0.2, 3? 0.2 Which is the closest to 1? (a) -10/7 (b) -126 (c) 3/5 c Which is the closest to -1/4? (a) 1.8 (b) -0.1 (c) -2 (d) 32 b Which is the closest to -0.8? (a) -1 (b) -0.5 (c) 4 (d) -4 a What is the nearest to -3/7 in 3, 0, -33, 1? 0 What is the closest to 1 in 4, -1, -3/13, 0.4? 0.4 What is the closest to -2 in -1/2, 0.5, 97? -1/2 Which is the closest to 0.251? (a) -4 (b) -3/5 (c) -1 (d) -3 b What is the nearest to -2/3 in 7, 0.1, -2/7, -7? -2/7 What is the closest to 10 in 1, 3, -5? 3 What is the nearest to -1/8 in 1, -0.4, 9, -4? -0.4 What is the closest to 0 in -3, -3.68, 2, 1? 1 What is the nearest to 0.8 in 4/9, 1, 0.2? 1 Which is the nearest to -0.04? (a) 0 (b) 0.2 (c) 0.1 (d) 2 a What is the closest to 0.13 in 2/5, 0, -3? 0 Which is the nearest to -1? (a) 0 (b) 453 (c) 0.1 (d) 2 a What is the nearest to -0.1 in -2/71, -5, 2/15? -2/71 Which is the closest to 0? (a) 2/5 (b) 5/2 (c) 0.2 (d) 0.08 d What is the nearest to -0.1 in -2/3, 0.059, -1? 0.059 What is the closest to -3/2 in 0.2, 2/9, -37? 0.2 Which is the closest to 0.1? (a) 3 (b) -19 (c) -4/3 c What is the nearest to 0.1 in -0.1, -2/3, 2, -0.5? -0.1 Which is the nearest to -3/109? (a) -0.3 (b) 0.1 (c) -5 b What is the closest to -0.1 in 1/4, 2/15, 4/3, -3/8? 2/15 What is the closest to -2 in -21/2, -1/3, -1/2, 1/9? -1/2 What is the closest to -1 in 0.4, 1, 0.1, 9/5? 0.1 Which is the closest to -1/2? (a) 0.05 (b) -7 (c) -0.5 c Which is the nearest to 8/9? (a) 1 (b) -5 (c) 5 a What is the closest to -0.002 in -3/5, -2, 0.8? -3/5 What is the closest to -1/11 in -2, -4/7, 0.4? -4/7 Which is the closest to -2? (a) -1 (b) 1/2 (c) 4 (d) 1/33 a What is the closest to -1/2 in 0.1, 4, 0.05? 0.05 What is the closest to 15/11 in -3/5, -5, 0.3, -1/3? 0.3 Which is the closest to -1? (a) 0.5 (b) 1 (c) -12 a What is the closest to -0.2 in 36, -5, -2/5, -0.2? -0.2 Which is the closest to -9? (a) -5 (b) 31 (c) 1 (d) -4 a What is the closest to 0.2 in -2, 2, -5, 1? 1 Which is the closest to 0? (a) 3/8 (b) -3 (c) 0.5 (d) -3/2 a What is the closest to -0.1 in -36, -56, 2? 2 What is the nearest to -0.1 in 0.1, 0, -3.03, 1/6? 0 What is the nearest to 0.2 in 9/5, 1.4, -4? 1.4 Which is the closest to -0.3? (a) -2.7 (b) 2/3 (c) 4 (d) 100 b What is the closest to -1/2 in -1, 0.2, 0.5, -2/13? -2/13 What is the closest to -4 in 3/28, 5, -0.5? -0.5 Which is the nearest to -0.4? (a) 0.2 (b) -5 (c) 2/7 (d) -22 a Which is the nearest to 0? (a) -1/2 (b) -0.6 (c) 0.4 (d) 18 c Which is the nearest to 2/5? (a) -0.4 (b) -0.04 (c) 2 (d) 0 d What is the closest to 4/7 in -1/6, -0.1, -2/3, -2/5? -0.1 Which is the closest to -0.1? (a) 1.1 (b) -1 (c) 0 c What is the closest to -1 in 2, 1/89, -4/3, -5? -4/3 Which is the nearest to -2/15? (a) -7 (b) 16 (c) 0 c Which is the closest to -2? (a) 3 (b) 8 (c) 0 (d) -2 d What is the nearest to -51 in -0.3, 5, 7, 2/3? -0.3 What is the nearest to -1 in -8.2, -6, 3, -4? -4 What is the nearest to 1 in -3, 15/4, 3/2, -4? 3/2 Which is the nearest to 0.1? (a) 3/5 (b) -1 (c) 0.1 (d) -192 c Which is the closest to 0.1? (a) -2 (b) 0.01 (c) 28/3 b Which is the closest to 0? (a) -1.6 (b) -123 (c) -2 a What is th
{ "pile_set_name": "DM Mathematics" }