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*4 + 13*m**4 - 36*m**4). 92*m**5 + 1104*m**4 Expand 131*k + 20*k**2 - 3 - 133*k + 26*k**2 + (2 - 2 - 1)*(k - k + 2*k**2) - 8*k**2 + 5*k**2 + 7*k**2. 48*k**2 - 2*k - 3 Expand -7*p**5 - 7*p**5 + 8*p**5 - 8*p**5 - 16*p**2 + 16*p**2 + (2*p**3 - p**3 + 0*p**3)*(p - p - 2*p**2) + (3 - 3 - 4*p**2)*(-5 + 2*p**3 + 5). -24*p**5 Expand (77 + 115 + 8*b - 188)*(-1 - 6 + 14). 56*b + 28 Expand ((-2 - 2 + 1)*(-f - 2 + 2) - 12*f + 4*f + 67*f)*(3 + 0 - 2)*(0*f + 2*f**4 + 0*f). 124*f**5 Expand (2*g**4 - 3*g**4 - g**4)*(2 - 7 - 2)*(21 - 38 - 28) + g**4 - g**3 + 4*g**3 + 2 - 2*g**3. -629*g**4 + g**3 + 2 Expand (2*u - 8*u - 2*u)*(3 - 1 - 3) + (-2 + 4 - 1)*(-2*u + 4 - 4). 6*u Expand (0 + 22 - 4)*(15*a - 112*a - 24*a). -2178*a Expand -3*k**2 - k**2 + k**2 + (2343 - 61*k - 471*k - 2341)*(k - 1 + 1). -535*k**2 + 2*k Expand (19*f - 11*f + 24*f)*(-f**2 + 6*f**2 - f**2) + (-3*f**2 + 0*f**2 - f**2)*(3 - f - 3). 132*f**3 Expand 3*i**2 - 3*i**2 + 2*i**2 + 0 - 2*i**2 + 0 + (-7*i + 13*i - 8*i)*(-1 - 2*i + 1) + 0*i**2 - 6*i**2 + 3*i**2 + 3 + 2*i**2 - 3. 3*i**2 Expand (-1699*h + 3 - 1971*h + 3278*h)*(-4 + 1 + 1). 784*h - 6 Expand (-4 - y + 4)*(-2*y**2 - 4 + 4)*(36*y + 13*y - 4*y). 90*y**4 Expand 131*y + 20*y**3 - 131*y + (2*y**2 + 0*y**2 - 4*y**2)*(-y + 3*y + 0*y) + 0 + 0 - y**3 + (-4 + 3 + 0)*(-1 + 1 + 2*y**3) - y**3 + 7*y**3 - y**3. 18*y**3 Expand (4 - 1 + 1)*(-141 - 98 + 38)*(u + 2*u**2 - u). -1608*u**2 Expand (0 + 1 + 8)*(-316*h + 70*h - 100*h). -3114*h Expand (-2*y + 4*y + 0 + 2)*(-269*y - 389*y + 197*y). -922*y**2 - 922*y Expand (-3*g + g - 3*g)*(2*g**3 - 2*g**4 - 2*g**3) + (g**2 + 3 - 1 - 3)*(-341 - 62*g**2 + 341)*(7 + 4*g - 7). -238*g**5 + 248*g**3 Expand (156*f**3 - 9445*f**2 + 9445*f**2)*(-1 + 1 - 2*f**2) - 1166*f**4 + 2*f**5 + 1166*f**4 - 6*f**2. -310*f**5 - 6*f**2 Expand (-m**3 + 0*m**3 + 0*m**3)*(29 - 107 - 20) + (-5 + 5 - 4*m)*(-16 - 5*m**2 + 16). 118*m**3 Expand (l + 0 + 0 + (-39 + 87 - 78)*(0 + 0 + 3*l))*(0 + 2 + 4). -534*l Expand (-64*f - 22*f - 20*f)*(-1 + 1 + 3)*(1 - 3 - 2). 1272*f Expand (-4 - 2 + 2)*(5*l**4 + 3*l**4 - 6*l**4) - l**4 - 2*l**4 + 0*l**4 + (l - l - 3*l**3)*(0*l + 3*l - 6*l) - 4*l**4 + 3*l**4 + 2*l**4. -l**4 Expand (-106 - 79 + 214)*(234 + 230*i**2 - 234). 6670*i**2 Expand n**5 - 2*n**5 - 2*n**5 + (-3*n - 10*n + 14*n)*(40*n**4 + 2604 - 2604). 37*n**5 Expand (7*s**2 - s**2 + 9*s**2 - 3*s**2 + 3*s**2 + 2*s**2 + (s + 2*s - 2*s)*(s + 2 - 2))*(4*s**2 - 4*s**2 + 2*s - s**2). -18*s**4 + 36*s**3 Expand (115*h + 104*h - 66*h)*(4 - 1 - 1)*(1 + 1 + 0). 612*h Expand (2 - 4 - 2)*(12*x**2 + 4*x**2 - 14*x**2)*(15 + 8 - 7). -128*x**2 Expand m**3 + 2*m**4 - m**3 + (-1 + 4 - 1)*(m**4 + 2*m**4 - 2*m**4) + (2 - 2*m**3 - 2)*(-888*m - 1432*m + 795*m). 3054*m**4 Expand (14*j**5 - 18*j**3 + 18*j**3 - 2*j**3 + 2*j**5 + 2*j**3 + (-1 + 5 - 1)*(4*j**5 - 9*j**5 - 3*j**5) + 1 - 1 - j**5)*(0 + 0 - 1). 9*j**5 Expand -5*d - d - d + (d - 5*d - 3*d)*(-65 - 458 + 827). -2135*d Expand (-9733*u**3 - 3509*u**3 - 15987*u**3)*(u**2 + 1 + 3 - 5). -29229*u**5 + 29229*u**3 Expand (-237*z**2 - 35*z**5 + 237*z**2 + (-z**3 - 2 + 2)*(-z**2 + 2*z**2 - 3*z**2))*(-7 + 16 + 11). -660*z**5 Expand 8610*n - n**2 - 8610*n + 57*n**5 + (2*n**4 - n**4 + n**4)*(2*n + 5*n - 5*n) + n**5 + 0*n**5 - 2*n**5. 60*n**5 - n**2 Expand (-10*k - 5*k + k)*(-k**2 + k + 17*k + 0*k**2 + k - k + k**2 + (2 + 3 - 4)*(-2*k**2 + 5*k**2 - 2*k**2))*(-3 + 1 + 8). -84*k**3 - 1512*k**2 Expand (329*z - 2710*z - 4019*z - 5328*z)*(6*z - 2*z - 2*z). -23456*z**2 Expand 6*f**5 - f**4 + 5*f**5 - 2*f**5 + (-31 + 50 - 32)*(-f**5 - 10*f + 10*f) - 2*f**5 + 2*f**5 + f**5. 23*f**5 - f**4 Expand n**2 - n**4 - n**2 - 4*n**4 + 4*n**4 - 2*n**4 - 2*n**4 + 2*n**4 + n**4 + (3 - 2*n - 3)*(5*n**3 - 4*n**3 - 3*n**3) + 132*n**4 + 95*n**4 + 72*n**4. 301*n**4 Expand (0*w + 3*w - w)*((-2*w + 6*w - 3*w)*(-4*w + 2*w + 4*w) - 4*w + 4*w + 2*w**2 + 67*w**2 + 672*w**2 - 44*w**2). 1398*w**3 Expand w - 2 + 2 + (1 + 3 - 3)*(6 - 6 - w)*(-6 - 1 + 30) - 3*w + 5*w - w + (-4 + 1 + 1)*(w - w - 2*w) - w + 5*w - 5*w + 10*w - 87 + 87. -8*w Expand (-3*m + m + m)*(-13*m + m**2 + 13*m) + 90*m**3 + 1856*m - 1856*m. 89*m**3 Expand (4 + 1 - 1 + (1 + 2 - 4)*(3 - 5 + 1))*(-s + 4 - 4)*((-3 - 1 - 4)*(4*s - 4*s + s) + 0*s + s - 3*s). 50*s**2 Expand (-2 + 2*x + 2)*(2 - 8 + 0)*(-73*x**2 + 427*x - 427*x)*(1 + 4 - 3 - 2*x). -1752*x**4 + 1752*x**3 Expand (2*m + 0*m - m)*(132*m - 120*m - 102*m) + (2*m - 5*m + 4*m)*(-m - m + m). -91*m**2 Expand -210*m + 87*m + 90*m + (4 - 4 + m)*(1 + 2 - 4) + 3*m - 3*m - 2*m + (-2 - 4 + 3)*(1 - 1 + m). -39*m Expand (-4 + 2 - 1)*((2 - 4 + 3)*(-1 - 2 + 4) + 2 + 1 - 1)*((0 + 1 + 0)*(-2 - 2 + 5) + 15 + 14 + 6)*(0 + 0 - 4*u). 1296*u Expand (13 + 45874*a + 0 + 63 - 76)*(3*a**2 - 3*a**2 + a**2). 45874*a**3 Expand (-2 - 3*t - t**3 + 3*t)*(-18 - 29 + 14) - t**2 + 0*t**2 + t**3 - 2*t**3 + t. 32*t**3 - t**2 + t + 66 Expand (-5029 + 5029 + 1241*u)*(-1 - 2*u + 1)*(2*u - 2*u - 3*u**2). 7446*u**4 Expand (-116 + 137 + 234)*(23*b**4 - 20*b**4 + 13*b**4). 4080*b**4 Expand -b - 6*b - 7*b + (1 - 7 + 2)*(-68 + 68 - 20*b + (-1 - 1 + 4)*(-3 - b + 3)). 74*b Expand 4923 - 59*b**5 - 4923 - 3*b**3 + (-1 + 1 + 2*b**3)*(3*b**2 - 5*b**2 + 0*b**2) + 2*b**5 - 3*b**2 + 3*b**2 - b**5 - 2*b**5 + b**5. -63*b**5 - 3*b**3 Expand -x**5 + 3*x**5 + 0*x**5 + (0*x**3 + 0*x**3 + x**4)*(-x + 4*x - x) + (3500994*x + 53*x**4 - 1750487*x - 1750414*x)*(2 - 2 + 2*x). 110*x**5 + 186*x**2 Expand (7 + 7 - 2)*(2 + 1 - 1)*(-12 + 5*d**3 + 12) - 93*d**3 - 602*d + 602*d. 27*d**3 Expand (2*q - q - 3*q)*(-q + q - q) + (2 + 0 + 0)*((-1 - 2 + 2)*(-q - 3 + 3) - 3 + 3*q + 3)*(-7746*q + 4134*q + 4151*q). 4314*q**2 Expand (-4 + 2 + 3 + (-3 - 1 - 3)*(-1 - 1 + 1))*(93*j + 116*j - 85*j). 992*j Expand (-190*v - 592*v + 208*v)*(-2 + 2 + 2*v). -1148*v**2 Expand 0*a**2 + 0*a**2 + 4*a**3 + (-3*a + 0*a + a)*(5*a**2 + a**2 - 5*a**2) + (2 - 2 - 1)*(-3*a**2 + 2*a**2 + 3*a**2)*(9*a + 66*a + 0*a). -148*a**3 Expand (g**3 - 4*g**3 + g**3)*(-40 - 5*g + 40 - 4*g + g + 2*g - 3*g - g + 2*g + (1 - 3*g - 1)*(-1 + 1 + 5)). 46*g**4 Expand (23624*q**3 - 654 - 47235*q**3 + 23620*q**3)*(-q + q - q**2). -9*q**5 + 654*q**2 Expand (-4*g + 0*g + 2*g + (1 - 4 + 1)*(-3*g - 2*g + 3*g)*(-26 - 32 + 2))*(0*g + 0*g - g + (6*g - 2*g - 2*g)*(-1 + 2 + 0) + 2*g - 4*g + 4*g). -678*g**2 Expand (4*j**2 + 2*j**2 + 20*j**2)*(-2*j - 2*j + 2*j)*(-15 + 20 + 21). -1352*j**3 Expand (-j + 3 - 3)*(330*j**2 + 512*j - 525*j**2 + 202*j**2). -7*j**3 - 512*j**2 Expand 3*j**5 - 3*j**5 - j**5 + (2 - 4 + 0)*(j**5 + 5*j**5 - 4*j**5) - 3*j**5 + 2*j**5 + 3*j**5 + (-2*j - j + 5*j)*(227*j**4 + 43*j - 43*j). 451*j**5 Expand (458*l**3 + 4 - 518*l**3 - 3)*(10 - 6 + 7) - 6*l**3 + 3 + 4*l**3 - 1. -662*l**3 + 13 Expand (-10*z + 5*z + 29*z)*(-8*z**3 - 2*z + 13*z**4 + 3002 - 3002). 312*z**5 - 192*z**4 - 48*z**2 Expand (0 - m**2 + 0)*(29846 - 29846 - 618*m) + (7 - 2 - 2)*(-m**3 + 3 - 3) + (m + 2*m - 2*m)*(0*m + m**2 + 0*m). 616*m**3 Expand (-4*o - 18*o + 38*o - 16)*(2*o**2 - 3*o**3 - 2*o**2). -48*o**4 + 48*o**3 Expand (3*l + 4*l - 6*l + (3 - 3 + 2)*(l - 4*l + l))*((-2 + 4 - 4)*(-23 + 16 + 20) - 2 + 5 - 1). 72*l Expand (592*z - 23 + 367*z + 314*z + 23)*(-3 + z**3 + 3)*(16 + 13 - 6). 29279*z**4 Expand (2 - 1 + 0)*(-3 - 4*d + 2*d + 1) + (-d - 2*d + 4*d)*(102 - 39 + 49). 110*d - 2 Expand (-f**2 - 6 + 5*f - 9*f + 3*f)*(242*f + 112*f - 113*f). -241*f**3 - 241*f**2 - 1446*f Expand (7 + 6 + 6)*(-1 + 572*o + 530*o + 2 - 48*o - 457*o). 11343*o + 19 Expand (5 - 5 - 5)*(-157*u**2 - 153*u**2 - 15 + 306*u**2)*(-2 + 2 + u**2). 20*u**4 + 75*u**2 Expand (1 - 3 - 1)*(-10 - y + 10)*(4*y + 6*y - 6*y) - 17*y + 17*y + 3*y**2. 15*y**2 Expand (3*k**2 - k**3 - 3*k**2)*((2 + 3 - 1)*(-2*k - 2*k + 2*k) + (-3*k + 2*k + 2*k)*(4 - 3 - 2) + (-2 - 5*k + 2)*(-5 + 1 - 2)) + 2*k - 2*k - k**4. -22*k**4 Expand 2*s**3 - 4*s**3 + 3*s**3 + (3 + 6 - 4)*(488*s**3 - 997*s**3 + 494*s**3). -74*s**3 Expand (0*r**3 - 2*r**3 + r**3)*(5 + 0 + 0)*(-105*r - 266*r + 87*r). 1420*r**4 Expand (-2*b + 6*b + b + (b - 3*b + b)*(-1 - 1 + 3))*(548 - 548 + 552*b**2). 2208*b**3 Expand (-4 + 0 - 1)*(-11*w + 10 - 10) + (4 - 2 + 2)*(3*w + w - 5*w) + (4 - 2 - 3)*(w + 3*w - 5*w) + 0 + 1 + 17*w - 11*w. 58*w + 1 Expand (-3 + 2 + 0)*(6*z**5 - 2*z**5 - 2*z**5) - 4*z**5 + 0*z**5 + 3*z**5 + (-2*z**3 + z**3 - z**3)*(-87*z + 34*z + 34*z)*(2 + 2*z - 2). 73*z**5 Expand
{ "pile_set_name": "DM Mathematics" }
of picking 1 c and 1 n when two letters picked without replacement from {n: 1, w: 2, e: 1, i: 2, a: 1, c: 1}. 1/28 Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {n: 4, u: 9, h: 2, o: 3}. 1/272 What is prob of picking 3 v when three letters picked without replacement from {v: 4, y: 2}? 1/5 Three letters picked without replacement from syyyyyyyysyddsy. Give prob of picking 2 s and 1 d. 6/455 Three letters picked without replacement from {p: 1, a: 11, g: 1, v: 1, y: 2}. Give prob of picking 2 a and 1 p. 11/112 Four letters picked without replacement from vntvntvvtv. What is prob of picking 3 t and 1 n? 1/105 What is prob of picking 1 z and 3 h when four letters picked without replacement from {h: 6, k: 4, z: 4}? 80/1001 Calculate prob of picking 2 n when two letters picked without replacement from ihnttvl. 0 Three letters picked without replacement from wslyd. What is prob of picking 3 y? 0 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 4, l: 3, v: 13}. 26/95 What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 5, e: 2, p: 5}? 5/33 Four letters picked without replacement from lpggllpllhphmlgg. What is prob of picking 1 m, 2 p, and 1 l? 9/910 Four letters picked without replacement from {v: 9, p: 7}. Give prob of picking 4 v. 9/130 Calculate prob of picking 4 y when four letters picked without replacement from {m: 12, y: 6}. 1/204 Three letters picked without replacement from {r: 4, p: 3, s: 1, a: 2}. Give prob of picking 1 a and 2 p. 1/20 What is prob of picking 2 z when two letters picked without replacement from hhxzhhza? 1/28 Two letters picked without replacement from brbbbr. What is prob of picking 2 b? 2/5 Three letters picked without replacement from fafwaaaw. Give prob of picking 1 w, 1 a, and 1 f. 2/7 Three letters picked without replacement from ooyyoyoooooooy. What is prob of picking 1 y and 2 o? 45/91 Two letters picked without replacement from nqnnnqnnqqqqqqnnqqn. What is prob of picking 2 q? 5/19 What is prob of picking 1 c and 2 x when three letters picked without replacement from {x: 2, c: 4, m: 5}? 4/165 Two letters picked without replacement from qjjq. What is prob of picking 2 q? 1/6 Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {i: 4, p: 1, d: 6}. 1/11 Four letters picked without replacement from vvbvvrvvvrvrzrvvqvz. Give prob of picking 1 r, 2 z, and 1 q. 1/969 Four letters picked without replacement from pppqququppqquuspup. Give prob of picking 4 u. 1/612 Three letters picked without replacement from {c: 2, o: 1, v: 1, m: 5}. What is prob of picking 1 o and 2 c? 1/84 What is prob of picking 1 v, 2 t, and 1 s when four letters picked without replacement from ctcvvvrrrrtrstrrct? 1/170 Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {h: 12, c: 1, y: 7}. 7/380 Two letters picked without replacement from smemmsmssssssvsse. What is prob of picking 1 e and 1 s? 5/34 What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 19, x: 1}? 1/10 What is prob of picking 1 j, 1 v, and 1 y when three letters picked without replacement from vzjjjjzzzuy? 4/165 Calculate prob of picking 2 l and 2 p when four letters picked without replacement from llblllllllpkp. 36/715 Three letters picked without replacement from {c: 8, z: 2, m: 2, l: 2}. What is prob of picking 2 z and 1 c? 2/91 Two letters picked without replacement from {b: 3, m: 1, t: 1, y: 5, v: 5, x: 3}. Give prob of picking 1 y and 1 v. 25/153 What is prob of picking 1 v and 1 g when two letters picked without replacement from ddddvnmdg? 1/36 Two letters picked without replacement from {g: 2, t: 3, l: 1, a: 2, h: 3, z: 1}. Give prob of picking 2 t. 1/22 Three letters picked without replacement from jsuujbuueemjube. What is prob of picking 1 u, 1 e, and 1 b? 6/91 What is prob of picking 2 f and 1 b when three letters picked without replacement from bbbbbffeefefeeb? 36/455 Three letters picked without replacement from xppvvoxpppoopxvvv. Give prob of picking 1 o and 2 p. 9/136 Four letters picked without replacement from mmmmmmm. Give prob of picking 4 m. 1 Calculate prob of picking 2 w, 1 x, and 1 q when four letters picked without replacement from {q: 3, w: 3, x: 2}. 9/35 Four letters picked without replacement from {f: 1, b: 6, i: 7}. Give prob of picking 1 f, 1 b, and 2 i. 18/143 Two letters picked without replacement from vccvc. Give prob of picking 1 c and 1 v. 3/5 Calculate prob of picking 2 d when two letters picked without replacement from dtodtdtttttttdot. 1/20 Four letters picked without replacement from iiisrwwiprwssrwr. What is prob of picking 2 p and 2 i? 0 Two letters picked without replacement from zmowk. What is prob of picking 1 m and 1 o? 1/10 Four letters picked without replacement from znnzwnlzlnwzz. What is prob of picking 2 w and 2 l? 1/715 Three letters picked without replacement from {s: 4, a: 3, p: 2}. What is prob of picking 1 p and 2 s? 1/7 Calculate prob of picking 2 b and 1 u when three letters picked without replacement from {u: 1, g: 2, b: 10, x: 3}. 9/112 What is prob of picking 3 q when three letters picked without replacement from {t: 1, g: 3, q: 3, i: 2, p: 2, a: 1}? 1/220 What is prob of picking 2 o, 1 t, and 1 f when four letters picked without replacement from {d: 2, o: 8, p: 1, f: 2, t: 2}? 16/195 What is prob of picking 2 e when two letters picked without replacement from ppneepeeeeencec? 4/15 Three letters picked without replacement from bbcb. What is prob of picking 2 b and 1 c? 3/4 Two letters picked without replacement from {h: 1, o: 1, s: 1}. Give prob of picking 1 s and 1 h. 1/3 What is prob of picking 1 j and 2 d when three letters picked without replacement from djedjddj? 9/28 Two letters picked without replacement from mphrh. What is prob of picking 1 h and 1 m? 1/5 Two letters picked without replacement from {y: 4, r: 2, f: 2}. Give prob of picking 2 f. 1/28 Three letters picked without replacement from {t: 7, b: 4, i: 6, p: 1}. What is prob of picking 1 i, 1 t, and 1 b? 7/34 What is prob of picking 2 v and 2 a when four letters picked without replacement from {a: 5, v: 8}? 56/143 Two letters picked without replacement from {i: 4, x: 8, b: 1}. What is prob of picking 1 b and 1 x? 4/39 Four letters picked without replacement from {w: 7, c: 4}. What is prob of picking 4 c? 1/330 Four letters picked without replacement from {o: 2, i: 2, b: 9, q: 3, l: 1}. Give prob of picking 2 b, 1 o, and 1 i. 36/595 Two letters picked without replacement from lkvklhvhvklhvvhhklh. What is prob of picking 2 v? 10/171 What is prob of picking 4 s when four letters picked without replacement from sissssssssssiissss? 91/204 Calculate prob of picking 2 m, 1 w, and 1 x when four letters picked without replacement from mrwwwwxm. 2/35 What is prob of picking 3 m and 1 s when four letters picked without replacement from {s: 3, e: 1, m: 3}? 3/35 Two letters picked without replacement from {t: 1, w: 2, s: 1, d: 1, k: 2}. Give prob of picking 1 s and 1 d. 1/21 Two letters picked without replacement from {p: 5, z: 1, k: 3, d: 5, n: 2}. What is prob of picking 1 d and 1 k? 1/8 Two letters picked without replacement from {a: 5, j: 3, r: 2}. Give prob of picking 1 j and 1 a. 1/3 What is prob of picking 1 u, 2 w, and 1 e when four letters picked without replacement from {u: 4, w: 2, y: 3, e: 7, g: 3}? 7/969 Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {u: 1, r: 3, q: 3}. 3/35 Two letters picked without replacement from vfebefefefwfefevfb. What is prob of picking 1 b and 1 w? 2/153 Calculate prob of picking 1 d and 1 i when two letters picked without replacement from mbrbmbirdbbbbibbmbb. 2/171 Calculate prob of picking 2 t and 1 w when three letters picked without replacement from {a: 3, w: 4, t: 9}. 9/35 Two letters picked without replacement from vikbkhih. What is prob of picking 1 h and 1 k? 1/7 Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {n: 6, h: 2, q: 1, p: 2}. 1/11 Two letters picked without replacement from {l: 7, k: 4, i: 2}. Give prob of pic
{ "pile_set_name": "DM Mathematics" }
2.4 d Which is the second smallest value? (a) 3/7 (b) -0.0345138 (c) 4 a What is the third smallest value in 164, 0.4, -6.2, -5? 0.4 Which is the fourth smallest value? (a) 0.4 (b) 2.35 (c) -3/5 (d) 2/17 (e) -5 a What is the third smallest value in 2, -18, 547, 0? 2 Which is the fifth biggest value? (a) 0 (b) -1 (c) 0.1 (d) 34/35 (e) 4/9 b Which is the second biggest value? (a) 22732 (b) -2 (c) 0.5 (d) 0.1 (e) 1 e What is the second biggest value in 0.4, 96, -1/5, -25, -40? 0.4 What is the smallest value in -2/11, -321, -6, -6.83? -321 What is the second biggest value in -24856, 4, -2/11? -2/11 Which is the third smallest value? (a) -19 (b) -0.5 (c) -0.7 (d) 0.255 b What is the fourth smallest value in -0.4, -147, -3, -0.31? -0.31 What is the third smallest value in 1, -209, -2/13, 4, 3/5? 3/5 Which is the second smallest value? (a) -6966 (b) -102 (c) -2 (d) 0 b Which is the fourth biggest value? (a) 4/9 (b) 1/12 (c) 2/9 (d) -1 (e) 1 b Which is the fourth smallest value? (a) 12 (b) -3/17 (c) -5 (d) 2/9 a Which is the fourth biggest value? (a) 1/154 (b) -2.5 (c) -5 (d) 0.3 (e) -4 (f) 0.2 b Which is the fifth biggest value? (a) 0.2 (b) -3/2 (c) -0.05 (d) -0.1 (e) -61769 e Which is the third smallest value? (a) -2/5 (b) 0 (c) 89 (d) 1/12 d What is the second smallest value in -22, 5, -227, -0.09? -22 What is the third biggest value in -23226, 0.2, 0? -23226 Which is the second smallest value? (a) 4 (b) -28729 (c) 2/7 c Which is the biggest value? (a) 2 (b) -1.84 (c) -1/4 (d) 1 a Which is the second biggest value? (a) -1.664 (b) -3 (c) -0.14 (d) -0.4 d Which is the third smallest value? (a) -5/526 (b) 2/3 (c) -0.4 (d) 9/2 b What is the fourth smallest value in -0.3, -4, -7/6, 4, -5, -12? -7/6 What is the second biggest value in -2, 3, -15, -5/2061? -5/2061 What is the second biggest value in 73.1, -5, 422, 5? 73.1 What is the biggest value in -1.24, 0.2, -1/6, 1476? 1476 What is the biggest value in -1/2712, 5/3, 2/19? 5/3 What is the third smallest value in -34, -45.2, -0.4, -0.2? -0.4 What is the fourth biggest value in 8, -4, -0.2, 0.5, 11? -0.2 What is the fourth smallest value in 1/9, -0.5, -2/19, 2048/53? 2048/53 What is the third biggest value in 24, -122, 76? -122 What is the smallest value in 0.03, -2, -3381? -3381 What is the second biggest value in -2, -4/17, -4, 1? -4/17 Which is the third smallest value? (a) 3 (b) 4 (c) -12/2023 (d) 2/5 (e) 2/7 d What is the biggest value in -5, -54, 5? 5 What is the second biggest value in 0.5, 2, 1, 0, 8872? 2 Which is the smallest value? (a) 321637 (b) 1 (c) 2/3 (d) -0.2 d What is the fourth biggest value in 4, 3, 1.8, 91, -3/11, 2/3? 1.8 What is the second biggest value in -277, -3, 8, 33? 8 What is the third biggest value in 143, -0.5, 0.5, 140, 0, 0.2? 0.5 Which is the second smallest value? (a) 22 (b) -3 (c) -8 (d) -1 (e) 30 b What is the fourth smallest value in 3, 2, -4, 5/4, -14? 2 What is the third smallest value in -1468, 102.2, 2/9? 102.2 What is the smallest value in 3.1, -2, 65, -5? -5 Which is the sixth biggest value? (a) -1.2 (b) -5 (c) 50 (d) -2/3 (e) -4 (f) 3/7 b Which is the biggest value? (a) 1040 (b) 3 (c) -3 (d) -1.2 a What is the third biggest value in 2/13, 4, 54/59? 2/13 What is the second biggest value in 0.3, 2033, 0.5, 0.2, 0.7, -2? 0.7 Which is the second smallest value? (a) -1/2 (b) 73 (c) 4.92 c What is the smallest value in 0.5, 5, 10, -4, 27? -4 Which is the second biggest value? (a) -114/11 (b) 0.33 (c) -0.1 c Which is the smallest value? (a) 0.4445 (b) -2 (c) 1 (d) -0.2 b Which is the biggest value? (a) 5 (b) -0.5 (c) 0.8 (d) -19 (e) -2 a What is the smallest value in 127/2, 1, -3? -3 Which is the biggest value? (a) 2.79 (b) 2/3 (c) 0 (d) -0.3 (e) -0.2 (f) -2/19 a What is the third biggest value in 0.4, 24, 0, 1, 2/33? 0.4 Which is the fourth smallest value? (a) 9 (b) -2/7 (c) -5 (d) -11220 a What is the fourth biggest value in -61, 3, 2/9, -6655/7? -6655/7 Which is the second smallest value? (a) -3964 (b) 3/4 (c) -4 (d) 140 c Which is the smallest value? (a) -39 (b) 10/57 (c) -49 c What is the fourth smallest value in 3/8, 0.2, 5, -4.5, -1? 3/8 Which is the biggest value? (a) -15 (b) -0.02 (c) -2/493 c Which is the second biggest value? (a) 4 (b) 0.5749 (c) 3 c What is the biggest value in -2/27, 4/3, -879? 4/3 What is the second biggest value in 1, -0.3, 2/27, 1/437? 2/27 What is the fourth biggest value in -2/15, 5, -4/7, 0.487, -0.2? -0.2 Which is the second biggest value? (a) -56/5 (b) 10 (c) 0.4 (d) 1/6 c Which is the second smallest value? (a) -2625/13 (b) -10 (c) -2/3 b What is the second biggest value in -56/3, 0.2, 5, -4/3, 5/3, -1/3? 5/3 What is the smallest value in -0.09, 4, -0.3, 1, -1/22, 0.2? -0.3 What is the second smallest value in -0.1, 17, 0.5, -31320? -0.1 What is the third biggest value in 3/2, -3.8, 1? -3.8 What is the fourth biggest value in -2, -0.09, 1.6, 1/4, 0, 0.2? 0 What is the second smallest value in -4/113, 0.3, 91? 0.3 What is the second smallest value in -940, -1/3, 0.058, 0.2, 5, 4? -1/3 Which is the fourth biggest value? (a) 3 (b) -7 (c) 0.0139 (d) -6 b What is the third biggest value in -2, -0.417, 18? -2 Which is the second smallest value? (a) -0.11071 (b) 2 (c) 0.1 (d) -8 a Which is the biggest value? (a) -35/2 (b) -307/3 (c) -3/2 c Which is the fifth smallest value? (a) -3 (b) 24.6 (c) -22/9 (d) -5/8 (e) 2/5 b Which is the smallest value? (a) 1/8 (b) 0.3 (c) -1776 (d) -2/11 (e) 2 c Which is the biggest value? (a) 0.002886 (b) 0.3 (c) -1/2 b What is the smallest value in 14/135, -3, 1/10, 4/5, 0, -2/9? -3 Which is the biggest value? (a) -2249 (b) -5 (c) -2 (d) 1 (e) -1 d What is the third biggest value in 69, -3, 9, 121? 9 What is the biggest value in -80, -2, 2/13, -8, 3? 3 What is the sixth smallest value in -697/4, -4, -0.4, 0.5, -3, 0? 0.5 What is the fourth biggest value in 5, 4.8, 3, -0.4, 4, 5.9? 4 Which is the biggest value? (a) -99 (b) -1/4 (c) 2/155 c What is the third biggest value in 5, -0.019, 2724? -0.019 What is the biggest value in -215, 3, -0.094? 3 Which is the sixth smallest value? (a) 3 (b) -3.3 (c) -1/2 (d) -0.2 (e) 4 (f) -30.2 e What is the smallest value in 0.1, -0.3, 1, 0.0631? -0.3 Which is the fourth smallest value? (a) 0.33 (b) 5 (c) -1/30 (d) 3 b Which is the biggest value? (a) 73.54 (b) 2 (c) 5 a What is the fourth smallest value in -0.0967, 1/5, -2, 2? 2 Which is the third smallest value? (a) 2/3 (b) 0.12 (c) 5/8 (d) -2 (e) 36 c Which is the fourth smallest value? (a) 3/4 (b) 77 (c) -3 (d) 3/2 (e) -16 d Which is the biggest value? (a) -0.01 (b) 2 (c) 776 (d) 0.2 (e) -2 (f) -1/2 c What is the fourth smallest value in -2/9, -98, -9/2, -10/7? -2/9 What is the third biggest value in -5, 2/3, -1, 8, 5? 2/3 What is the third biggest value in 0.1, 28/9, 1, -2? 0.1 What is the fourth smallest value in 355, 1, 2, 3? 355 Which is the third smallest value? (a) -3 (b) 4/5 (c) -33.8846 b Which is the second biggest value? (a) -175 (b) 0.12 (c) -1 c What is the second smallest value in -443, 2/5, 5, -1/2, -4/5, -2/7? -4/5 What is the fourth biggest value in 71, 18, 0.06, -1? -1 What is the second biggest value in 6, -30/11, -0.15? -0.15 Which is the third biggest value? (a) 0.4 (b) 202 (c) -0.5 (d) 0.383 d What is the third smallest value in -6, 0.5, 0.7, 3/1990? 0.5 What is the second biggest value in -0.1, 2/11, -9, 3/8, 3, -1? 3/8 What is the second smallest value in 0.0451, -5.6, 3? 0.0451 What is the second biggest value in -1/7, -2.5, -1/60? -1/7 Which is the smallest value? (a) 3/11 (b) 2/15 (c) -7 (d) 31 c Which is the fifth biggest value? (a) 0 (b) 3 (c) 0.3 (d) -6/11 (e) 31 d Which is the fourth biggest value? (a) -32 (b) -7 (c) -36 (d) 5 (e) 2/9 a Which is the second smallest value? (a) -3 (b) 1/71 (c) -25 (d) -2/3 a What is the third biggest value in -7/5, -0.3, -2, -2/31, -4? -7/5 What is the third smallest value in 0.4, -1360, 2/9, -76? 2/9 Which is the third smallest value? (a) 0.1 (b) 24/13 (c) -1.2 (d) -2 a What is the fourth biggest value in -6/25, -11, -3, 50, -1?
{ "pile_set_name": "DM Mathematics" }
f + 7. Let v be t(-6). Let j be v/3*3*2. Let b = 1 + j. What is the remainder when 8 is divided by b? 2 Suppose -i = 5*y - 62, -5*y = -4*i + 326 - 28. Calculate the remainder when i is divided by 15. 12 Let t = 18 + -11. Let n(v) = -v**3 + 9*v**2 - 9*v + 2. What is the remainder when n(t) is divided by 13? 11 Let a(k) = -k**3 - 3*k**2 - k - 3. Let c be 2 + (35 - -1)/(-3). Let z = 6 + c. What is the remainder when a(z) is divided by 9? 8 What is the remainder when ((-4)/(-6))/((-6)/(-162)) is divided by 7? 4 Let l = -32 + 71. Let g(o) = o**2 + 20. What is the remainder when l is divided by g(0)? 19 Let g be (1 + -3)/((-12)/150). Suppose -b + 3*o + 5 = 0, 2*b - 4*o = -b + g. What is the remainder when b is divided by 7? 4 Let b = 23 + 3. Calculate the remainder when b is divided by 9. 8 Let y(v) = v**3 - 6*v**2 + 8*v - 5. Suppose 2*u + 5 - 15 = 0. Calculate the remainder when 28 is divided by y(u). 8 Suppose j + 3 = -5*r, 2*r - 3*j - 6 = -j. Suppose y + r = 2. Calculate the remainder when 32 is divided by (-9 - y)*-1*1. 10 Suppose 46 = r - 3*r. Let a = -14 - r. Let j(m) = 5*m - 14. What is the remainder when j(8) is divided by a? 8 Suppose 32 = i + 3*i. Let k = 42 - 29. Calculate the remainder when k is divided by i. 5 Suppose 0*s = 3*s + 3, 0 = 2*a - 5*s - 11. Let h(g) = 4 + 3 + g**2 - 11. Calculate the remainder when h(a) is divided by 2. 1 Suppose r - 122 = -3*u + 2*r, 4 = -2*r. Suppose -5*x + 5*c + 80 = 0, 3*x - 4*c = 23 + 27. Calculate the remainder when u is divided by x. 12 Suppose 0 = -2*a - 73 + 205. Let x = -11 - -15. Suppose x*p - p = a. What is the remainder when p is divided by 8? 6 Suppose 5*i = 5*f + 160, 9*f = 6*f + 12. What is the remainder when i is divided by 19? 17 Suppose 5*n + 15 = 4*n - 5*v, -5*n - 2*v + 17 = 0. Calculate the remainder when 18 is divided by n. 3 Suppose -j + 0 + 4 = 0. What is the remainder when 11 is divided by j? 3 Let k(b) = b**3 + 5*b**2 - 7*b - 4. Let o be k(-6). Suppose -7*c + 9 - o = 0. Calculate the remainder when 2 is divided by c. 0 Let z(o) = 3 - 5 - 6*o + 6 + 6*o**2. Let x(k) = -7*k**2 + 7*k - 5. Let u(l) = 5*x(l) + 6*z(l). Calculate the remainder when 32 is divided by u(-3). 10 Let n = 30 - 11. What is the remainder when n is divided by (1/(-1))/(2/(-14))? 5 Suppose -5*i + 5 + 5 = 0. Suppose 5*d = 25, -2*d = -5*c + i*c + 92. Calculate the remainder when c is divided by 12. 10 Suppose 3*i = 4*s - 14, -5*i - s = -3*s + 14. Suppose 3*l - 25 = 2. Let r = l + i. Calculate the remainder when r is divided by 3. 1 Let k be (1 - 3)/(4/(-16)). Let h = -7 + k. Calculate the remainder when 21 is divided by 9 + (0 - (-2)/h). 10 Calculate the remainder when 19 - 9/(-12)*-4 is divided by 9. 7 Let y(k) = 2*k - k - k**2 + 9 + 6*k. Calculate the remainder when 2 is divided by y(8). 0 Suppose -q - 5*r = -68, -r = -0*r - 3. Let k(u) = 5*u**3 - u**2 - 1. Let b be k(-2). Let i = -27 - b. Calculate the remainder when q is divided by i. 17 Let y(r) = 19*r**2 - 4*r + 6. Let o be y(4). Calculate the remainder when 28 is divided by o/30 - (-2)/10. 8 Let i(r) = r**3 - 11*r**2 + 11*r - 9. Let v be i(10). Let q be 2 + 2 + 1 + 0. Calculate the remainder when 9 is divided by v/1*1*q. 4 Calculate the remainder when -1*((-160 - (-4 + 3)) + 0) is divided by 8. 7 Calculate the remainder when 1 - (-1 - 0)*61 is divided by 21. 20 Suppose 5*p + 15 = 5*v, 2 = -4*p + 3*v - 10. Let m = 6 + p. Suppose -22 - 5 = -m*x. What is the remainder when 17 is divided by x? 8 Let y = -14 - -29. Calculate the remainder when (-172)/6*6/(-4) is divided by y. 13 Let i(r) = -23*r**3 - 2*r**2 + r + 2. What is the remainder when 85 is divided by i(-1)? 19 Let u = -11 + 32. Let b be 1 + (-3)/(-6)*-134. What is the remainder when u is divided by (-12)/18*b/4? 10 Let b(w) = 3*w - 23. Calculate the remainder when 4 is divided by b(9). 0 Let z be ((-31)/(-3))/((-2)/6). Let c = -9 - z. Calculate the remainder when c/2 + 1 - 0 is divided by 7. 5 Let j(l) = 2*l**2 + 8*l + 3. What is the remainder when j(-5) is divided by 5? 3 Let i(t) = t**3 + 2*t**2 - 3*t + 2. Let a be i(-3). Let o be 3 - (0 + a/2). Calculate the remainder when 47/7 - o/(-7) is divided by 3. 1 Let i be 17/(-2)*(7 - 5). Let k = -9 - i. What is the remainder when k is divided by 6? 2 Let p(z) = -z**2 - 11*z - 6. Calculate the remainder when 85 is divided by p(-4). 19 Let k(t) = -t**3 - 4*t**2 + 2*t - 1. Let b be k(-4). Calculate the remainder when (-353)/b - 2/9 is divided by 20. 19 Let q = -16 - -40. Let y(m) = m**3 + 4*m**2 - m - 1. What is the remainder when q is divided by y(-2)? 6 Suppose -22 = -8*a + 3*a + 4*h, -3*a + 2*h = -12. Suppose 5*x = -2*p + 18 - 67, -25 = 5*x. Let k = p + 17. Calculate the remainder when k is divided by a. 1 Let p(o) = -o + 11 + 3 - 7. What is the remainder when p(0) is divided by 2? 1 Let j(r) be the second derivative of -r**3/6 + 29*r**2/2 - 3*r. Calculate the remainder when j(12) is divided by 7. 3 Suppose -2*w + 35 = 7. Let z = w - 1. Suppose 2*d - z = 37. Calculate the remainder when d is divided by 9. 7 Suppose -5*j - 2 = -2*w, -4*j + 3 - 5 = -2*w. Calculate the remainder when 41 is divided by (2/w)/(3/21). 13 Let r = 24 - -5. Let p = r - 17. Calculate the remainder when 47 is divided by p. 11 Let c = -13 - -15. Suppose -5*j + j = -5*f + 22, c*j - 4 = -5*f. What is the remainder when 5 is divided by f? 1 Suppose 6*t + 18 - 246 = 0. What is the remainder when 227 is divided by t? 37 Let b be 2*2/(8/(-138)). Let x be b/2*(-24)/9. Suppose 5*v - x = -4*f - 0*f, 4*f + 108 = 5*v. Calculate the remainder when v is divided by 11. 9 Let q(g) = -3*g - 4. Let c(h) = h**2 - 7*h + 7. Let w be c(5). Calculate the remainder when (-2)/(-6) - 44/w is divided by q(-4). 7 Let h(g) = g**3 + 5*g**2 + 4*g. Let z be h(-3). Calculate the remainder when 78 is divided by (z/9)/(4/162). 24 Suppose 4*d = 5*q + 247, 2*d = 3*q + 16 + 109. Let g = 155 - 111. Suppose -4*t - g = -124. What is the remainder when d is divided by t? 18 Suppose -217 = -2*w + 3*y, 0*y - y - 219 = -2*w. Suppose -5*h + w = -60. What is the remainder when h is divided by 9? 7 Suppose -y + 435 = 4*y. Calculate the remainder when y is divided by 18. 15 Let u = -2 + 2. Suppose 0 = -4*j, 3*j - 160 = -3*w - 2*w. Calculate the remainder when w is divided by -1 - -12 - u/(-1). 10 Let q = 31 + -15. Suppose -4*a + q = s - 5*s, -3*a + 8 = -2*s. Calculate the remainder when (-147)/2*s/6 is divided by 17. 15 Calculate the remainder when (-168)/(-6) - -1*4 is divided by 17. 15 Let p = 19 - 12. What is the remainder when 67 is divided by p? 4 Let d = -2 + 10. Let t be -1 + 1/(-1) - 3. Let p = 10 - t. What is the remainder when p is divided by d? 7 Suppose 0 = -4*s + 3*b + 25 + 11, -36 = -4*s + 5*b. Let t = 13 - s. What is the remainder when 6 is divided by t? 2 Let l = -14 - -26. Let b(f) = 4*f**3 + f**2 - 1. Let x be b(1). What is the remainder when x/(-18) - 600/(-27) is divided by l? 10 Suppose 12 = -2*f + 4*j, -5*f + 6*f = -2*j + 10. Suppose -c + f*c = 79. Suppose -4*g - 3*w = -c, 3*w - 5 = -2*w. What is the remainder when g is divided by 7? 5 Let n(k) = 7*k + 7. What is the remainder when n(6) is divided by 26? 23 Suppose c = -5, 3*o = 6*o - c - 86. Suppose -n = -3*v + 4, -3*n - 2*v = v + 36. Calculate the remainder when o is divided by 4/n + 156/15. 7 Let p = 56 - 36. What is the remainder when 34 is divided by p? 14 Let l = 116 + -79. What is the remainder when l is divided by 20? 17 Let u = 83 - 44. Calculate the remainder when u is divided by 11. 6 Suppose 32 - 64 = -t. What is the remainder when t is divided by 7? 4 Let y = 119 + -32. What is the remainder when y is divided by 22? 21 Let j be 12/10*(-10)/(-4). Suppose -j*f = -2*f - 7. Calculate the remainder when 18 is divided by f. 4 Let w(x) = -x**3 + 13*x**2 - 15*x - 13. Let g be w(11). Suppose -24 - g = -4*u. Calculate the remainder when u is divided by (36/15)/(1/5). 10 Let x(w) = 13*w**3 - 2*w + 1. Let p be x(1). Suppose 0*m = -3*m + p. Calculate the remainder when 5 is divided by m. 1 Let m = -4 + 19. Calculate the remainder when (4 + 4 + -4)*27/4 is divided by m. 12 Suppose 0*s - 3*s + 66 = 0. Suppose -91 - 119 = -5*h. What is the remainder when h is divided by s? 20 Suppose 4*t = t + 5*s + 532, 3*s + 876 = 5*t. Let v = -24 - -44. Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
mainder when i(19) is divided by t? 33 Let r(o) = 2*o**2 - o + 3. What is the remainder when r(15) is divided by 49? 46 Let x = -35 - -52. Suppose 0 = -v + 2*g + x, -5*g + 0*g = -v + 26. Let h(k) = -6*k - 10. Calculate the remainder when h(-7) is divided by v. 10 Suppose -2*u + 17 = -11. Let m be (-45 + -1 + 0)/(29/(-87)). Suppose -3*x - 2 - 1 = 0, -2*i = -4*x - m. Calculate the remainder when i is divided by u. 11 Let v(z) = z**3 + 21*z**2 + 2*z + 48. What is the remainder when 19 is divided by v(-21)? 1 Let l = 48 - -30. Calculate the remainder when 149 is divided by l. 71 Let h = 31 - 53. Let u = -13 - h. Calculate the remainder when 14 is divided by u. 5 Suppose 31*r - 689 = 18*r. What is the remainder when 155 is divided by r? 49 Calculate the remainder when 0 + 1 - 4 - (-1649)/17 is divided by (-236)/(-10) - (-2)/5. 22 Let d(v) = v**2 + 2*v + 4. Let f be 2 - -2 - (-2 - 2). Calculate the remainder when ((-146)/f)/(6/(-24)) is divided by d(3). 16 Suppose -3*y - 32 = 4*c + 25, -19 = y - 4*c. Let g = y - -30. What is the remainder when 43 is divided by g + 1 - (-3 - -6)? 7 Suppose -4*f + 185 = f - 2*q, -4*f - 4*q = -176. What is the remainder when 466 is divided by f? 37 Let q(k) = -k**3 - 3*k**2 + 2*k - 5. Let l(a) = a**3 + 4*a**2 - a + 5. Let b(g) = -4*l(g) - 3*q(g). Calculate the remainder when 35 is divided by b(-7). 8 Suppose 0*l - 5*l = 4*a - 65, -5*l + 5*a + 20 = 0. What is the remainder when l is divided by 18/(-3)*(-5 + 4)? 3 Suppose 50 = 3*z + 5*x, 5*z - 15*x = -13*x + 104. What is the remainder when z is divided by 14? 6 Suppose -3*g + 40 = 4*b, -5*g - 2*b = -7*b - 55. What is the remainder when 45 is divided by g? 9 Let l = -4492 + 4496. Let n(a) = -a**3 + 6*a**2 - 3*a - 1. What is the remainder when n(5) is divided by l? 1 Let m(f) = -2*f + 1. Let g(c) be the second derivative of -c**5/10 - c**4/4 + c**3/2 + c**2/2 + 5*c. What is the remainder when g(-3) is divided by m(-3)? 5 Suppose 3*a + 6 = 0, -8*q + 2*a - 152 = -11*q. Calculate the remainder when 206 is divided by q. 50 Suppose 4*u = 2*l - 32, 0*l + 4*u = 5*l - 62. Suppose -3*h - 4 = -l. Suppose h + 34 = 2*i. What is the remainder when i is divided by 10? 8 Let f(r) = -r**3 + 7*r**2 + 2*r - 14. Let i be f(7). Suppose i = 14*d - 714 - 1176. What is the remainder when d is divided by 17? 16 Let b(f) = 9*f**2 + 2*f + 10. Calculate the remainder when b(3) is divided by 34. 29 Let d(j) = 3*j - 18. Let z = 43 - 34. Calculate the remainder when d(z) is divided by (-4 - 1)*54/(-45). 3 Suppose 7*z = 60 + 52. Suppose 2*p = -5*v - p + 374, 3*p = 2*v - 158. What is the remainder when v is divided by z? 12 Let m(i) = -i**3 - 50*i**2 - 8*i - 148. Calculate the remainder when m(-50) is divided by 84. 0 Let c(z) = -z**2 - 18*z + 1. Let t be c(-21). Calculate the remainder when (-1)/(-3) - (-179)/3 is divided by (t/6)/(1/(-3)). 29 Let u be (20/(-8))/5*-126. Suppose 8*a - u = 5*a. What is the remainder when a is divided by (-5)/((-10)/(-8)) + 16? 9 Let r be (66/55)/(2/745). Suppose -4*j + j + r = 0. What is the remainder when j is divided by 51? 47 Let l(m) = m**3 - 12*m**2 + 13*m + 16. Calculate the remainder when l(11) is divided by 35. 3 Let m = 17 - 14. Suppose m*y + 2*d = -0*d + 276, -5*y + 465 = 5*d. What is the remainder when y is divided by 31? 28 Suppose 3*r - 9 = 72. Calculate the remainder when r is divided by 18. 9 Suppose -3*k + 110 = 5*f - 0*k, 5*f = 5*k + 110. Let p = f + 21. Calculate the remainder when p is divided by 5. 3 Let l be (-5110)/(-25) + (-6)/(-10). Suppose 5*v + 5*j - l = 0, 5*v - 3*j = 6*v - 49. What is the remainder when v is divided by 20? 17 Let b = -140 + 228. What is the remainder when b is divided by 23? 19 Let t(i) = 100*i**2 + i + 1. Let j be t(-3). Let y be j/8 + (-2)/8. Suppose -310 = -3*l - y. What is the remainder when l is divided by 23? 20 Calculate the remainder when (-3)/6*(1 - (-945)/(-9)) is divided by 37. 15 Suppose -u + 5*q = 6, 3*u - 5*q = 7 + 5. Let c = 12 - u. Suppose c*a = -2*a + 145. What is the remainder when 57 is divided by a? 28 Let j(a) = -5*a - 8. Let r(w) = 5*w - 11*w - 6 + 6*w**2 - 4*w**2. What is the remainder when j(-7) is divided by r(5)? 13 Let z be (6/10)/(8/80). Suppose z*a - 22 = 4*a. What is the remainder when 32 is divided by a? 10 Suppose 0 = 2*q - 104 - 366. Suppose 7*l = 12*l - q. Suppose -v = -l - 10. Calculate the remainder when v is divided by 12. 9 Suppose 5 = j - 3. Suppose 0 = c + h - j, -3*c = -0*c + 5*h - 20. Let i(o) = o**2 - 10*o + 18. What is the remainder when i(10) is divided by c? 8 Let d = 222 - 194. Calculate the remainder when 83 is divided by d. 27 Let n be (-605)/(-5) + -1 + -1. Suppose 0 = -3*j + 34 + n. Calculate the remainder when j is divided by 2/4*2*18. 15 Calculate the remainder when 59 is divided by 2 + (-6 - (-2)/(6/63)). 8 Suppose -2*u + 425 = -29. Let c = -126 + u. Suppose 0 = 22*a + 25*a - 1598. What is the remainder when c is divided by a? 33 Suppose -l - 4*l + 80 = 0. Let t = 2892 - 2886. What is the remainder when l is divided by t? 4 Let s be (3/6)/(6/(-168)). Let z = s - 181. What is the remainder when (-4511)/z - (-2)/(-15) is divided by 4? 3 Let p(b) be the third derivative of b**5/60 - 7*b**3/2 + 13*b**2. Calculate the remainder when p(-7) is divided by -1 + 2 + 45/3. 12 Suppose 20*r - 7731 + 1171 = 0. Calculate the remainder when r is divided by 22. 20 Let k be 1 - (0 + -5)/5. Let g be 15*4 + k + -4. Suppose 0 = -o - o + g. Calculate the remainder when 115 is divided by o. 28 Calculate the remainder when 68 is divided by 10 + 18/(-6) + 19. 16 Suppose -2*w - 2*w - 5*t = -83, 0 = -t + 3. Calculate the remainder when 42 is divided by w. 8 Suppose -3*h - 5*y + 23 = 0, 0 = h + 4*y + 3 - 6. Calculate the remainder when (-82)/(-4 + 3 - 1) is divided by h. 8 Let f be (-6)/15 - (-36)/15. Suppose -t = f*t - 120. Suppose 3*a + 2*m = -a + 94, 3*a = 5*m + 38. Calculate the remainder when t is divided by a. 19 Let a = -561 - -602. What is the remainder when 95 is divided by a? 13 Let d = 65 - -41. What is the remainder when d is divided by 40? 26 Let a(h) = h**3 + 4*h**2 - 6*h + 3. Let o be a(-5). Let m = o + -12. Calculate the remainder when (-322)/(-21)*(-6)/m is divided by 6. 5 Let k = 33 + 12. What is the remainder when k is divided by 10? 5 Let y = 15 + 7. Let c(g) = g**2 + g + 4. Let a be c(0). Calculate the remainder when 63/((-6 - -3) + a) is divided by y. 19 Suppose 47*m - 2318 - 1206 = 377. What is the remainder when m is divided by (-205)/(-7) + (-4)/14? 25 Let q be (10/(-4))/5 - 35/2. Calculate the remainder when (7 - 4) + -6 - q is divided by 8. 7 Suppose 16*v - 2301 = -173. Calculate the remainder when v is divided by 9. 7 Let l = 5368 - 2261. Calculate the remainder when l is divided by 12. 11 Suppose 2*b + 3*s - 222 = -b, 2*b + 3*s - 150 = 0. What is the remainder when 359 is divided by b? 71 Let b(n) = -42*n**2 - n - n**3 - n + 35*n**2 - 12. Let p be b(-7). Calculate the remainder when 5 is divided by (1 - p) + 5 + -2. 1 Let w = 15 - 2. Let z(k) = 2*k**2 - 5*k + 8. What is the remainder when z(6) is divided by w? 11 Suppose -3 = y, 5*y - 461 = 2*g - 2672. What is the remainder when g is divided by 25? 23 Let g = -284 - -297. What is the remainder when 778 is divided by g? 11 Suppose -5*g = -3*o - 2*g + 96, -96 = -3*o - 2*g. Suppose 3*b - 109 = o. Calculate the remainder when b is divided by 10. 7 Suppose 2*l = -2*l + 56. What is the remainder when (-2)/(-12) - 24161/(-222) is divided by l? 11 Let u(i) = 3*i**3 + 71*i**2 - 26*i - 32. What is the remainder when 42 is divided by u(-24)? 10 Let c(f) = f + 4. Let n be c(-3). Let v(l) be the third derivative of 7*l**5/20 + 150*l**2. What is the remainder when v(n) is divided by 4? 1 Let n = -295 - -295. Suppose -4*m - 98 = -4*i - 2*m, n = -3*m + 9. Calculate the remainder when (-2)/(-3) - (-770)/6 is divided by i. 25 Let d(s) = -s**2 - 37*s - 196. What is the remainder when 88 is divided by d(-29)? 16 Let o(s) = s**2 + s + 9. Let v be o(0). Let t = -7 + v. Calculate the remainder when t is divided by 1. 0 Suppose -4*u + 2 = -2, -4*j = 3*u - 91. What is the remainder when j is divided by (-58)/(-8) - 2/8? 1 Calculate the remainder when 280 is divided by (12/((-864)/852))/(1/(-6)). 67 Suppose 0 = 5*p + 2*x - 210, -x - 210 = -21*p
{ "pile_set_name": "DM Mathematics" }
hat is 7.03627256 rounded to zero decimal places? 7 What is 0.000167818638 rounded to seven decimal places? 0.0001678 Round 3.635449356 to two decimal places. 3.64 What is -0.84629484 rounded to four decimal places? -0.8463 What is 0.000004024211 rounded to seven dps? 0.000004 What is 0.0026494338 rounded to four dps? 0.0026 What is 0.0351607682 rounded to 5 decimal places? 0.03516 What is -2525427470 rounded to the nearest one hundred thousand? -2525400000 What is -97.8323328 rounded to 3 dps? -97.832 Round 234.5635076 to the nearest 10. 230 What is -0.547729654 rounded to four dps? -0.5477 Round 0.000023954341 to 5 dps. 0.00002 Round 1026.886977 to the nearest 100. 1000 Round 383952.163 to the nearest 10. 383950 What is -0.0002296297341 rounded to seven dps? -0.0002296 Round -5.1033828 to 1 dp. -5.1 What is -0.2624967844 rounded to two decimal places? -0.26 What is -4623.44574 rounded to the nearest 100? -4600 Round -0.00164157206 to four decimal places. -0.0016 Round 33.12017463 to three dps. 33.12 What is -10147860786 rounded to the nearest 1000000? -10148000000 What is 0.000662735771 rounded to 4 decimal places? 0.0007 Round -0.1339764811 to five dps. -0.13398 What is -790088.81 rounded to the nearest one million? -1000000 Round 201.5146689 to the nearest 10. 200 What is -0.01717445846 rounded to 4 decimal places? -0.0172 What is 1829780.59 rounded to the nearest 1000? 1830000 What is 564.3531738 rounded to the nearest ten? 560 Round -389790230 to the nearest 1000000. -390000000 What is 3647697065 rounded to the nearest 1000000? 3648000000 Round -2356.497092 to one dp. -2356.5 What is 0.225029691 rounded to four decimal places? 0.225 Round 367.8975275 to 1 decimal place. 367.9 Round 0.3013552724 to 2 dps. 0.3 Round -1007.9105944 to the nearest one hundred. -1000 What is -5414827.4 rounded to the nearest 10000? -5410000 Round -135.615713 to 0 dps. -136 What is -0.111609313 rounded to 1 dp? -0.1 What is -722478.16 rounded to the nearest 1000? -722000 What is -4.7029348 rounded to one decimal place? -4.7 Round -4723.51045 to the nearest 10. -4720 Round 69.864238 to one dp. 69.9 What is 2.567045876 rounded to four decimal places? 2.567 What is 0.0830700613 rounded to 2 dps? 0.08 What is -23226775 rounded to the nearest one million? -23000000 Round -1.2314804 to two dps. -1.23 What is 0.00970991691 rounded to 4 decimal places? 0.0097 What is 103577556 rounded to the nearest 100000? 103600000 Round -19999.60401 to the nearest one thousand. -20000 Round -94.4812024 to the nearest 10. -90 Round -87.0611346 to 1 dp. -87.1 Round 41382.3943 to the nearest 100. 41400 Round -156.655531 to the nearest ten. -160 What is -126.492305 rounded to the nearest integer? -126 Round -0.000003413359 to 7 dps. -0.0000034 Round 664767.6616 to the nearest ten thousand. 660000 Round -26.70396099 to 4 decimal places. -26.704 What is 186.454983 rounded to the nearest 10? 190 What is -0.008817657698 rounded to five decimal places? -0.00882 What is -22.2606926 rounded to two dps? -22.26 What is 177053.978 rounded to the nearest 100? 177100 What is -0.01697568335 rounded to 5 dps? -0.01698 What is -0.00001853141371 rounded to 6 decimal places? -0.000019 What is -68337971.69 rounded to the nearest 1000000? -68000000 What is -0.000785334891 rounded to four dps? -0.0008 Round -101.1906829 to 0 decimal places. -101 What is -0.29047815 rounded to 1 dp? -0.3 Round 0.25251312 to four dps. 0.2525 Round -18.41912927 to 2 dps. -18.42 Round 6169.31256 to the nearest 10. 6170 What is -0.301943292 rounded to two decimal places? -0.3 Round -0.0036400538 to 6 decimal places. -0.00364 What is 33.79979851 rounded to two decimal places? 33.8 Round -0.003550316458 to three decimal places. -0.004 What is -2229894540 rounded to the nearest 100000? -2229900000 What is 0.03441416257 rounded to four dps? 0.0344 Round -806002.5886 to the nearest one hundred. -806000 What is 0.01038683905 rounded to four decimal places? 0.0104 Round -154868821 to the nearest 100000. -154900000 What is -3228.4384 rounded to the nearest ten? -3230 Round 266272.047 to the nearest one thousand. 266000 What is 2775173.66 rounded to the nearest ten thousand? 2780000 Round -1754.70522 to 0 dps. -1755 What is 8363.83338 rounded to the nearest one thousand? 8000 What is -6809.2163 rounded to the nearest 1000? -7000 What is 0.000009218907 rounded to five dps? 0.00001 What is 1369789470 rounded to the nearest 1000000? 1370000000 Round -0.00002027793575 to five dps. -0.00002 Round 578286.07 to the nearest one hundred. 578300 What is -0.118703903 rounded to 4 decimal places? -0.1187 Round 551487.17 to the nearest ten thousand. 550000 What is 510993720 rounded to the nearest 10000? 510990000 Round 0.0093000021 to 6 dps. 0.0093 What is -1942638.15 rounded to the nearest 10000? -1940000 What is 4689640.16 rounded to the nearest 1000? 4690000 What is 14.212942997 rounded to 2 decimal places? 14.21 Round 26.8407192 to three dps. 26.841 Round -438647.3799 to the nearest one hundred. -438600 What is -14269.8835 rounded to the nearest one hundred? -14300 What is -0.000031561617491 rounded to seven decimal places? -0.0000316 What is -0.01622816877 rounded to four decimal places? -0.0162 What is 0.000002742290319 rounded to six decimal places? 0.000003 Round -272526820 to the nearest 1000000. -273000000 Round 0.003591545432 to 5 decimal places. 0.00359 Round -11.437242 to 0 dps. -11 What is -0.5733439288 rounded to one decimal place? -0.6 Round 0.0009692016 to five dps. 0.00097 What is -57747.653 rounded to the nearest 1000? -58000 Round -1.260692099 to 4 dps. -1.2607 Round -0.005234790555 to 7 decimal places. -0.0052348 What is -66239.78894 rounded to 0 decimal places? -66240 Round 2154.5933 to zero dps. 2155 Round 90568175.44 to the nearest 1000000. 91000000 What is -305243.307 rounded to the nearest 100? -305200 What is 831.3904408 rounded to the nearest ten? 830 What is 14445596348 rounded to the nearest one million? 14446000000 Round 0.00000017995346 to 7 dps. 0.0000002 What is -367.824625 rounded to the nearest 10? -370 Round 52304404.5 to the nearest one thousand. 52304000 What is -0.0000102414861 rounded to 7 dps? -0.0000102 What is 408492.413 rounded to the nearest ten thousand? 410000 What is 0.000150941009 rounded to 7 decimal places? 0.0001509 Round 90198768.73 to the nearest 100000. 90200000 Round 0.00045040324 to 6 dps. 0.00045 Round 2759.6846 to the nearest 10. 2760 Round 0.0246838774 to 4 dps. 0.0247 What is -0.197761031 rounded to two decimal places? -0.2 Round 129340649.6 to the nearest one million. 129000000 What is 60.629823 rounded to the nearest integer? 61 What is 1.97994657 rounded to 2 dps? 1.98 Round -174.860041 to the nearest 10. -170 What is -1.3286746797 rounded to three dps? -1.329 What is -0.00000700022247 rounded to six dps? -0.000007 What is -7312.4919 rounded to the nearest 1000? -7000 What is -0.0038572558 rounded to four decimal places? -0.0039 What is 0.502973976 rounded to 3 decimal places? 0.503 Round 18330124.4 to the nearest 1000. 18330000 Round -2.12780813 to 4 dps. -2.1278 Round 0.00173431892 to five decimal places. 0.00173 Round 0.00486214376 to 5 decimal places. 0.00486 What is -0.0234552342 rounded to four decimal places? -0.0235 Round -4537724.293 to the nearest one hundred. -4537700 What is -0.42036093 rounded to three decimal places? -0.42 What is -7.019147 rounded to 0 dps? -7 Round -0.000122960602 to six decimal places. -0.000123 What is -0.0000474521722 rounded to five dps? -0.00005 Round -0.000032472975972 to 7 dps. -0.0000325 Round -193.904993 to the nearest integer. -194 What is -0.00000282944792 rounded to six decimal places? -0.000003 What is 31.33170394 rounded to one dp? 31.3 What is 10761.9082 rounded to the nearest 10? 10760 What is 291.654969 rounded to the nearest ten? 290 Round -0.023850847 to 5 dps. -0.02385 What is 745420.65 rounded to the nearest one hundred? 745400 Round 6769.16549 to the nearest ten. 6770 What is 151012571.3 rounded to the nearest 10000? 151010000 What is -0.05657683874 rounded to six decimal places? -0.056577 What is 2500.412 rounded to the nearest 10000? 0 What is -4817484.78 rounded to the nearest 1000000? -5000000 Round -0.037620516 to three d
{ "pile_set_name": "DM Mathematics" }
between 5:05 PM and 4:00 AM? 655 How many minutes are there between 11:31 PM and 2:24 AM? 173 How many minutes are there between 8:52 AM and 2:51 PM? 359 What is 322 minutes after 2:58 AM? 8:20 AM What is 628 minutes before 10:40 PM? 12:12 PM How many minutes are there between 6:06 AM and 7:13 AM? 67 What is 669 minutes before 9:22 AM? 10:13 PM What is 646 minutes before 3:32 PM? 4:46 AM How many minutes are there between 1:58 PM and 10:25 PM? 507 How many minutes are there between 11:24 AM and 5:50 PM? 386 What is 474 minutes before 5:33 PM? 9:39 AM What is 305 minutes after 10:59 PM? 4:04 AM How many minutes are there between 4:36 PM and 6:20 PM? 104 What is 688 minutes before 1:06 PM? 1:38 AM How many minutes are there between 9:22 AM and 8:26 PM? 664 How many minutes are there between 4:03 AM and 7:54 AM? 231 What is 103 minutes after 10:08 AM? 11:51 AM What is 670 minutes before 12:15 AM? 1:05 PM How many minutes are there between 3:27 AM and 6:49 AM? 202 What is 92 minutes after 7:57 AM? 9:29 AM How many minutes are there between 7:42 PM and 3:29 AM? 467 How many minutes are there between 11:37 AM and 5:36 PM? 359 What is 103 minutes before 10:14 PM? 8:31 PM What is 618 minutes before 9:22 PM? 11:04 AM How many minutes are there between 5:16 AM and 4:47 PM? 691 What is 664 minutes after 9:25 AM? 8:29 PM What is 480 minutes before 4:07 PM? 8:07 AM How many minutes are there between 3:55 AM and 10:01 AM? 366 How many minutes are there between 10:04 AM and 2:07 PM? 243 How many minutes are there between 2:47 PM and 7:51 PM? 304 What is 158 minutes before 6:52 PM? 4:14 PM How many minutes are there between 9:00 PM and 1:43 AM? 283 What is 702 minutes after 6:05 PM? 5:47 AM What is 643 minutes after 1:54 AM? 12:37 PM How many minutes are there between 4:49 AM and 9:13 AM? 264 What is 676 minutes before 7:18 PM? 8:02 AM What is 385 minutes after 12:55 PM? 7:20 PM What is 253 minutes after 9:18 AM? 1:31 PM How many minutes are there between 10:49 AM and 12:00 PM? 71 What is 27 minutes after 1:20 AM? 1:47 AM How many minutes are there between 8:19 AM and 2:58 PM? 399 What is 327 minutes before 9:06 PM? 3:39 PM How many minutes are there between 7:16 PM and 8:46 PM? 90 How many minutes are there between 6:41 PM and 2:27 AM? 466 What is 400 minutes after 6:15 PM? 12:55 AM What is 53 minutes after 11:50 PM? 12:43 AM How many minutes are there between 8:12 PM and 3:20 AM? 428 What is 139 minutes before 2:40 PM? 12:21 PM How many minutes are there between 11:24 PM and 1:49 AM? 145 How many minutes are there between 1:30 PM and 2:20 PM? 50 How many minutes are there between 6:47 PM and 8:25 PM? 98 How many minutes are there between 6:50 AM and 7:30 AM? 40 How many minutes are there between 11:29 AM and 7:21 PM? 472 What is 665 minutes before 6:28 AM? 7:23 PM How many minutes are there between 7:32 AM and 9:32 AM? 120 What is 690 minutes before 3:30 PM? 4:00 AM What is 388 minutes after 6:23 AM? 12:51 PM What is 191 minutes before 8:13 PM? 5:02 PM How many minutes are there between 11:07 PM and 2:34 AM? 207 How many minutes are there between 11:24 AM and 6:33 PM? 429 What is 173 minutes after 5:28 PM? 8:21 PM What is 38 minutes before 3:30 AM? 2:52 AM How many minutes are there between 7:52 AM and 6:55 PM? 663 What is 394 minutes after 7:28 PM? 2:02 AM What is 643 minutes after 11:58 PM? 10:41 AM How many minutes are there between 9:04 AM and 11:19 AM? 135 How many minutes are there between 1:52 AM and 8:20 AM? 388 How many minutes are there between 12:03 AM and 7:49 AM? 466 What is 679 minutes after 1:13 PM? 12:32 AM What is 186 minutes after 1:11 PM? 4:17 PM What is 104 minutes before 7:36 AM? 5:52 AM How many minutes are there between 4:58 PM and 1:43 AM? 525 How many minutes are there between 5:44 AM and 8:20 AM? 156 How many minutes are there between 10:32 PM and 8:31 AM? 599 What is 410 minutes after 1:09 AM? 7:59 AM What is 480 minutes after 3:39 AM? 11:39 AM What is 538 minutes before 11:16 PM? 2:18 PM What is 564 minutes before 9:10 AM? 11:46 PM What is 103 minutes before 11:56 PM? 10:13 PM How many minutes are there between 11:36 PM and 11:20 AM? 704 How many minutes are there between 2:55 PM and 7:59 PM? 304 How many minutes are there between 1:47 AM and 10:12 AM? 505 How many minutes are there between 4:05 PM and 5:04 PM? 59 How many minutes are there between 7:43 PM and 7:14 AM? 691 What is 354 minutes before 9:47 AM? 3:53 AM How many minutes are there between 4:19 AM and 5:13 AM? 54 What is 472 minutes after 12:23 PM? 8:15 PM What is 321 minutes after 8:56 AM? 2:17 PM How many minutes are there between 12:11 AM and 3:34 AM? 203 What is 552 minutes after 9:19 AM? 6:31 PM What is 374 minutes after 11:24 PM? 5:38 AM How many minutes are there between 12:06 AM and 1:02 AM? 56 How many minutes are there between 1:44 AM and 11:26 AM? 582 What is 321 minutes before 10:52 PM? 5:31 PM How many minutes are there between 10:41 AM and 5:06 PM? 385 How many minutes are there between 12:21 PM and 10:26 PM? 605 How many minutes are there between 9:27 AM and 8:55 PM? 688 How many minutes are there between 1:34 AM and 4:08 AM? 154 What is 76 minutes before 4:30 AM? 3:14 AM What is 279 minutes before 5:04 AM? 12:25 AM How many minutes are there between 3:31 AM and 6:23 AM? 172 What is 584 minutes after 4:19 PM? 2:03 AM What is 657 minutes before 10:01 PM? 11:04 AM What is 77 minutes before 3:53 PM? 2:36 PM What is 470 minutes after 1:49 AM? 9:39 AM How many minutes are there between 5:19 AM and 7:53 AM? 154 What is 310 minutes after 6:58 PM? 12:08 AM What is 171 minutes after 7:18 AM? 10:09 AM What is 387 minutes before 7:23 PM? 12:56 PM What is 514 minutes before 4:36 PM? 8:02 AM What is 76 minutes before 2:16 AM? 1:00 AM How many minutes are there between 5:46 PM and 8:33 PM? 167 How many minutes are there between 11:30 AM and 11:16 PM? 706 What is 420 minutes before 3:47 AM? 8:47 PM How many minutes are there between 9:31 PM and 9:14 AM? 703 How many minutes are there between 4:24 PM and 4:23 AM? 719 What is 597 minutes before 11:06 AM? 1:09 AM How many minutes are there between 8:33 PM and 3:04 AM? 391 What is 353 minutes before 11:12 PM? 5:19 PM How many minutes are there between 11:45 PM and 10:09 AM? 624 What is 137 minutes before 7:41 PM? 5:24 PM What is 667 minutes before 2:11 AM? 3:04 PM What is 549 minutes after 1:07 AM? 10:16 AM What is 416 minutes after 9:31 PM? 4:27 AM What is 399 minutes after 9:47 AM? 4:26 PM How many minutes are there between 4:05 AM and 8:25 AM? 260 What is 50 minutes after 12:52 PM? 1:42 PM What is 480 minutes before 7:02 PM? 11:02 AM What is 203 minutes before 5:10 PM? 1:47 PM What is 703 minutes after 4:38 AM? 4:21 PM How many minutes are there between 4:44 PM and 7:59 PM? 195 What is 707 minutes before 11:18 AM? 11:31 PM What is 376 minutes before 1:57 AM? 7:41 PM What is 149 minutes after 12:20 PM? 2:49 PM What is 325 minutes before 5:33 AM? 12:08 AM What is 564 minutes before 5:21 AM? 7:57 PM How many minutes are there between 9:34 AM and 8:01 PM? 627 How many minutes are there between 11:11 AM and 8:44 PM? 573 How many minutes are there between 10:54 PM and 12:37 AM? 103 What is 145 minutes after 9:10 PM? 11:35 PM How many minutes are there between 4:01 AM and 2:53 PM? 652 How many minutes are there between 1:31 AM and 7:37 AM? 366 What is 360 minutes after 10:56 PM? 4:56 AM What is 652 minutes after 8:07 AM? 6:59 PM How many minutes are there between 1:38 AM and 11:29 AM? 591 What is 715 minutes after 8:17 PM? 8:12 AM How many minutes are there between 3:02 PM and 10:06 PM? 424 How many minutes are there between 11:32 PM and 4:54 AM? 322 What is 432 minutes after 10:12 AM? 5:24 PM How many minutes are there between 3:22 PM and 6:59 PM? 217 What is 546 minutes before 5:43 PM? 8:37 AM How many minutes are there between 9:06 AM and 10:06 AM? 60 What is 457 minutes after 1:29 AM? 9:06 AM What is 76 minutes before 2:27 PM? 1:11 PM What is 667 minutes before 10:20 PM? 11:13 AM What is 139 minutes after 8:13 PM? 10:32 PM How many minutes are there between 9:46 AM and 2:11 PM? 265 How many minutes are there between 9:19 AM and 4:19 PM? 420 What is 331 minutes before 2:38 AM? 9:07 PM How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
nd 132648? 6 Calculate the highest common divisor of 28812 and 164052. 588 Calculate the greatest common factor of 3092004 and 4908. 12 What is the greatest common factor of 1128 and 269617944? 1128 What is the highest common divisor of 130511 and 1710? 19 Calculate the highest common factor of 3453980 and 65. 5 Calculate the greatest common divisor of 10306289 and 178. 89 What is the highest common divisor of 20 and 2691020260? 20 Calculate the greatest common divisor of 5963234 and 3184. 398 What is the greatest common factor of 18707 and 20852? 13 What is the greatest common factor of 1260550 and 1240150? 850 What is the highest common divisor of 124 and 23342473? 31 Calculate the greatest common divisor of 650 and 733150. 50 What is the greatest common divisor of 8 and 2905490? 2 Calculate the greatest common factor of 384 and 1765500. 12 Calculate the highest common factor of 3404547210 and 393. 393 What is the greatest common factor of 580737 and 40533? 177 Calculate the highest common factor of 904267 and 637. 91 Calculate the highest common factor of 13625 and 33625. 125 Calculate the greatest common divisor of 112 and 185051734. 14 Calculate the greatest common divisor of 265972 and 5598628. 1652 What is the greatest common divisor of 1372 and 405524? 196 What is the highest common divisor of 7334620 and 131300? 2020 Calculate the highest common divisor of 30 and 749010. 30 What is the greatest common divisor of 17440 and 3395350? 1090 What is the highest common divisor of 223850 and 365486? 814 Calculate the greatest common factor of 104914477 and 631. 631 What is the greatest common factor of 40484 and 104458? 58 Calculate the greatest common divisor of 17055 and 14818521. 1137 What is the greatest common divisor of 4857120 and 5520? 240 What is the highest common factor of 22557331 and 58? 29 Calculate the greatest common divisor of 523410 and 10001. 73 What is the highest common factor of 6802750 and 24875? 125 Calculate the highest common divisor of 512 and 1714728. 8 Calculate the greatest common divisor of 64977 and 547203. 537 Calculate the greatest common divisor of 328500 and 3381750. 2250 Calculate the greatest common divisor of 477 and 6892173. 477 What is the highest common divisor of 507 and 385242091? 169 Calculate the greatest common factor of 39275 and 3375. 25 What is the highest common factor of 54898880 and 640? 320 What is the greatest common factor of 4387560 and 45? 15 Calculate the highest common divisor of 3864898 and 21084. 502 What is the greatest common factor of 7307037 and 48? 3 What is the greatest common factor of 5084618 and 48224? 3014 Calculate the greatest common divisor of 280078 and 82. 2 Calculate the highest common divisor of 26434058 and 518. 518 Calculate the greatest common factor of 9050 and 11427254. 362 What is the highest common factor of 675 and 142262352? 27 Calculate the greatest common factor of 890 and 529130. 10 What is the greatest common divisor of 17643131 and 3025? 121 What is the greatest common factor of 3901233 and 1029? 147 What is the highest common factor of 5026 and 2888873? 359 Calculate the highest common factor of 142 and 7474667. 71 What is the highest common divisor of 740888 and 121952? 296 What is the highest common divisor of 57755895 and 15? 15 What is the highest common factor of 4026708 and 580? 116 Calculate the greatest common divisor of 158862301 and 5798. 2899 What is the highest common divisor of 34736 and 10082792? 1336 Calculate the greatest common divisor of 2266274 and 71224. 614 What is the greatest common factor of 26400 and 5004384? 1056 Calculate the greatest common divisor of 21523423 and 9821. 1403 Calculate the highest common divisor of 32 and 9591880. 8 Calculate the highest common factor of 59327702 and 3892. 1946 What is the highest common divisor of 3540 and 4116740? 20 Calculate the highest common divisor of 41667 and 5289258. 2451 What is the greatest common divisor of 9 and 19916460? 9 Calculate the highest common divisor of 15664726 and 66. 22 What is the highest common divisor of 44016 and 51614? 262 Calculate the highest common factor of 507653 and 29467. 373 Calculate the highest common factor of 12 and 976107. 3 Calculate the highest common divisor of 3000 and 11500000. 1000 What is the highest common factor of 927802 and 2765666? 1774 What is the highest common divisor of 41926763 and 106? 53 Calculate the greatest common factor of 35630 and 644037700. 5090 Calculate the greatest common factor of 581 and 17025939. 7 Calculate the highest common factor of 8592 and 600. 24 Calculate the highest common divisor of 5523243 and 299. 23 Calculate the highest common factor of 25 and 761302275. 25 Calculate the greatest common divisor of 109242 and 97776. 126 Calculate the highest common factor of 232 and 2173550. 58 Calculate the greatest common divisor of 457610032 and 484. 44 Calculate the highest common divisor of 24893268 and 2204. 76 Calculate the greatest common divisor of 38861402 and 1861. 1861 What is the greatest common divisor of 1646539804 and 158? 158 Calculate the highest common divisor of 41238 and 20916830. 4582 What is the greatest common divisor of 71532641 and 2326? 1163 What is the greatest common divisor of 148 and 28840316? 148 Calculate the highest common factor of 55440679 and 868. 217 What is the highest common divisor of 8904 and 70861848? 1272 What is the highest common factor of 124687780 and 4662? 518 Calculate the greatest common factor of 25 and 9262441. 1 Calculate the highest common divisor of 634 and 1311429634. 634 Calculate the greatest common factor of 39100 and 3868600. 2300 Calculate the highest common divisor of 64511930 and 1918. 1918 Calculate the highest common divisor of 17883 and 4059. 9 Calculate the greatest common factor of 3707887 and 4216. 17 What is the greatest common factor of 2472 and 601932? 1236 What is the highest common factor of 264 and 35992352? 88 What is the highest common factor of 9435772 and 25491? 293 Calculate the highest common divisor of 124 and 71244. 4 What is the highest common divisor of 40 and 25709240? 40 What is the highest common divisor of 75 and 593357925? 75 Calculate the greatest common divisor of 3546179 and 209. 19 What is the greatest common divisor of 1144825 and 52900? 575 What is the greatest common factor of 44892 and 1986186684? 14964 Calculate the highest common factor of 210245875 and 230. 115 Calculate the greatest common divisor of 115515 and 83385. 765 What is the highest common divisor of 73 and 292770223? 73 Calculate the highest common factor of 173584 and 2352. 16 Calculate the highest common factor of 6115872 and 3857. 133 Calculate the greatest common factor of 735 and 6251040. 15 Calculate the highest common divisor of 2508264 and 259694. 6334 Calculate the highest common factor of 670167489 and 4722. 2361 What is the greatest common factor of 1813 and 20312371? 37 What is the highest common factor of 61270 and 492034862? 12254 Calculate the highest common divisor of 121 and 4283. 1 What is the greatest common factor of 151 and 651414? 151 What is the greatest common factor of 61872 and 1040223? 3867 What is the highest common divisor of 2755354 and 123977? 1393 What is the highest common divisor of 16008 and 290493? 87 Calculate the greatest common factor of 11077 and 7691519. 583 Calculate the highest common divisor of 144743 and 901. 53 Calculate the greatest common factor of 19390908 and 1392. 348 What is the greatest common divisor of 36805 and 439495? 2165 Calculate the greatest common factor of 1288166 and 143. 11 What is the highest common divisor of 1116738 and 2520? 126 What is the highest common divisor of 159543050 and 186? 62 Calculate the greatest common factor of 2012400 and 69316. 2236 Calculate the highest common factor of 6544 and 2935393. 409 What is the greatest common factor of 660576 and 7707? 21 What is the greatest common divisor of 6209 and 168? 7 What is the highest common factor of 21197 and 2397188? 1927 Calculate the greatest common divisor of 79422843 and 58704. 3669 What is the greatest common factor of 7285134 and 36? 6 What is the greatest common divisor of 9441322 and 44? 22 What is the greatest common
{ "pile_set_name": "DM Mathematics" }
be b(2). Let i = 391 - t. Let s = i + -399/2. What is the common denominator of s and -83/20? 20 Let f = -794/5 + 807/5. Let l = -151/40 - 57/40. What is the common denominator of f and l? 5 Let z = -369/584 - -1/146. What is the common denominator of 91/6 and z? 24 Calculate the common denominator of 35/3 and (-32)/(-6) + -1 - (-12 + 10). 3 Let b = -9 + 7. What is the common denominator of 34/9 and 26*(-15)/66 - b? 99 What is the common denominator of 34/(-3)*15/(-4) and -107/10? 10 Suppose 5*p - 4*c - 125 = -c, 3*p - 5*c = 91. Calculate the lowest common multiple of p and 2. 22 Let w = 37 + 13. What is the lowest common multiple of 5 and w? 50 Let g(a) be the third derivative of a**4/24 + 5*a**3/3 - a**2. What is the lowest common multiple of 4 and g(0)? 20 Let z = 4582 + -27397/6. Let h = -8 - 34. Find the common denominator of z and 14/(-60)*27/h. 60 Suppose 0 = 5*s - s. What is the common denominator of -85/4 and -8*4 - (-1 - s)? 4 Let p = 2 + 0. Let n = -10 - -46. Suppose n + 9 = 5*q. What is the smallest common multiple of q and p? 18 Suppose 5*h - 15 = h - 5*n, -2*h + 5 = 5*n. Let g(a) = -a**2 + 8*a - 5. Calculate the least common multiple of 8 and g(h). 40 Let n = 3789 - 68099/18. Let o = 4216 - 84263/20. What is the common denominator of n and o? 180 Let o = -1518 + 12163/8. Let x(h) = -12*h**2 - 3*h - 2. Let v be x(-3). Find the common denominator of (-3)/2*v/(-30) and o. 40 Let k = 44 - 24. Suppose 2*y = 0, -5*y = 5*u - u + 12. Let v = u + 13. What is the smallest common multiple of v and k? 20 Let q = -206/45 + 34/9. Let a = -2095 - -29243/14. Calculate the common denominator of q and a. 70 Let r(h) = 7*h - 9. Let d be r(6). What is the common denominator of (d/(-32))/((-1)/(-4)) and 43/10? 40 Let j = 5/12 + 5. What is the common denominator of j and -15/14? 84 Suppose -1 - 5 = -3*c. Calculate the common denominator of (c/(-20))/((-2)/(-57)) and -63/20. 20 Let m(u) = -2*u**2 - 14*u - 10. What is the lowest common multiple of m(-5) and 6? 30 Let t = -411 - -412. Suppose 0 = -f - 3*i + 8, 0*f - 4*i = 5*f - 40. Calculate the lowest common multiple of f and t. 8 Suppose 0 = 5*h + r + 428, h = 3*r - 7*r - 78. Find the common denominator of -49/10 and h/(-20)*-3 + 3. 10 Let v = -2413/72 - -215/9. Let n = -7645/14 + 545. Find the common denominator of v and n. 56 Let b = -144/23 + 2669/92. Find the common denominator of b and -56/9. 36 Calculate the common denominator of 2*-2 + 15/(-58)*-13 and 53/20. 580 Let h = 4088/3 + -1376. Let b be 2/6 - (-1167)/9. Find the common denominator of (5/20)/((-1)/b) and h. 6 Suppose 2*p - 3*p - 1548 = -5*v, -5*p - 3*v = 7628. Let c be 1/(p/(-10871)) + -1. Let d = 2/191 + c. Calculate the common denominator of -55/18 and d. 72 Let w = -10 + 7. Let k(x) = 12*x - 3. Let v(q) = 6*q - 1. Let d(b) = -3*k(b) + 5*v(b). Calculate the smallest common multiple of 22 and d(w). 22 Let n = 23/119 + -4153/1785. Calculate the common denominator of 14/27 and n. 135 Let a = 227/9 + -1285/72. What is the common denominator of -67/8 and a? 8 Suppose -4*f + 38 = 2*w - 0*w, 3*w = 4*f + 17. Calculate the least common multiple of w and 32. 352 Let l = -12 - -32. What is the least common multiple of l and 10? 20 Suppose 0 = 5*h - 16182 - 3768. Let x = h + -39981/10. Let t = 1001/34 + -84/17. What is the common denominator of x and t? 10 Let r(h) = h**2 + 3*h + 5. Let j be r(-4). Suppose 0 = -5*t + 44 - j. Calculate the least common multiple of t and 11. 77 Let r(j) = -j + 5. Let l be r(4). Let y = l - 9. Let m = y + 13. Calculate the lowest common multiple of m and 9. 45 Let d = 4910 + -1469. Let m = -31000/9 + d. Calculate the common denominator of -62/3 and m. 9 Suppose 16 + 26 = 6*i. Calculate the least common multiple of i and 8. 56 Let v = 34 + -24. What is the lowest common multiple of 9 and v? 90 Suppose -s = -4*y - 1, -s + 3 = 2*s - 4*y. What is the least common multiple of s/((-15)/8 + 2) and 14? 56 Suppose 8 = -0*l - l + 5*u, l = -3*u. Find the common denominator of 36/5 and 74/4 + -2 - l. 10 Let q = 17 + -22. Find the common denominator of ((-245)/20)/(q/(-2)) and 43/2. 10 Let k be 9860/(-30)*(-1 + -2). What is the common denominator of 94/60 - 4/10 and k/51*3/8? 12 Let k = 0 - -4. Suppose k = v - 14. Calculate the lowest common multiple of v and 14. 126 Suppose -4*m - 3*o + 21 = 1, -o = -4*m + 36. Let z be 48/(-10)*(-30)/(-4). Let a = -16 - z. Calculate the least common multiple of a and m. 40 Suppose 5*q + 15 = 0, -j = -6*j - 5*q + 5. Calculate the smallest common multiple of j and 8. 8 Let r(v) = -49*v**3 + v + 1. Let w be r(-1). Let x = 69 - w. Calculate the smallest common multiple of x and 8. 40 Suppose -w - 9 = 5*q, 0 = 4*w - 5*q + 4*q - 6. Let j = -18 - -24. What is the least common multiple of w and j? 6 Let n = -84425/14 - -18149/2. Let t = -2662 - -5698. Let l = n - t. What is the common denominator of 121/10 and l? 70 Let w be (-3)/((-3)/2) + -5. Let c = w - -9. What is the lowest common multiple of 2 and c? 6 Find the common denominator of 175/35*(-10)/(-64) and 43/12. 96 Let k = 50845/6021 + -1/6021. Calculate the common denominator of (2/3)/((-4)/(-9)) and k. 18 Find the common denominator of 59/4 and 146/(-12) + (-4 - 0). 12 Let h(d) = d - 10. Let x be h(7). Let f = x + 4. Find the common denominator of f + (2 - 297/42) and -11/2. 14 Let z(c) = 2 - 2 + 4 + 5*c**2 - c**3. Let s be 54/10 - (3 - 65/25). What is the smallest common multiple of 2 and z(s)? 4 Let b = 19 + -43. Calculate the common denominator of (-2)/b*(-9)/(-1) and (-858)/16*6/(-27). 12 Let s be (-49)/6 + (-1)/(-6). Find the common denominator of s/(-44) - (-1302)/220 and 137/12. 60 Suppose 4*k - 15*k = -77. Calculate the least common multiple of k and 5. 35 Let s(j) = -j**2 - 9*j - 10. Calculate the smallest common multiple of s(-5) and 10. 10 Suppose 0 = -7*s + 256 + 24. Find the common denominator of 37/3 and s. 3 Let c = 98 + -54. Find the common denominator of 0/1 - (-200)/c and 22/7. 77 Suppose -11 - 40 = -4*b + 3*o, -2*o + 10 = b. What is the lowest common multiple of b and 6? 12 Suppose 3*w - 9 = -0. Let n(r) = r**2 - r - 1. Let d be n(2). Suppose d + w = u. Calculate the lowest common multiple of 11 and u. 44 Let i be (-2)/(-1) - 4756/28. Let q = i + 18653/112. Let f = 4372 + -35037/8. Calculate the common denominator of f and q. 16 Let m = 30 + -23. What is the smallest common multiple of m and 23? 161 Let c = 4782 - 57277/12. Let d be -1 + (294/89)/3. Let k = -2527/534 - d. What is the common denominator of c and k? 12 Calculate the common denominator of 133/12 and (-3)/(-6) - 145/(-300). 60 Let g = -32086/9 - -3573. What is the common denominator of g and -9/5? 45 Let y(r) = -r**2 + 7*r + 10. Let u be (-22)/(-6) + (-1)/(-3). Suppose -u*x - 16 = -g, 29 = g + 4*g - 3*x. What is the smallest common multiple of g and y(7)? 20 Suppose 2*k + 6 = 2*z, 3*z - 6 - 3 = 2*k. Suppose 0 = -h - z*h + 88. What is the lowest common multiple of 4 and h? 44 Let t = -169 - -813/5. Let j = -6/4399 + 426763/43990. Calculate the common denominator of t and j. 10 Suppose 0 = -3*n - 9, 0 = 2*i + n - 7 + 16. Let u be (2358/1001)/(-1) + i. Let c = -10/143 - u. Find the common denominator of c and 5/6. 42 Let z = -13 + 21. Suppose -z*p + 7*p + 12 = 0. Suppose 12 = 5*v - 8. Calculate the smallest common multiple of v and p. 12 Suppose -2*s + 1 = -2*t - 11, 3*t - 4*s + 16 = 0. Find the common denominator of (-2)/(-12) + 66/t and 93/20. 60 Let u = 89 - 4903/55. What is the common denominator of u and 13/30? 330 Let p = -3/10613 - -838511/297164. Find the common denominator of p and 31/16. 112 Let l(y) = y**2 - 4*y + 1. Let s be l(5). Let k(n) = -n + 3. Let m be k(s). Calculate the smallest common multiple of 22 and 1/m + 13/3. 44 Let j(f) = -5*f + 3. What is the lowest common multiple of j(-1) and 22? 88 Let c(a) = a - 5. Calculate the least common multiple of (-340)/(-35) - (-6)/21 and c(6). 10 What is the smallest common multiple of -2*6/(-3) - (-2 - 0) and 18? 18 Calculate the lowest common multiple of (-2)/(-5) + 136/10 and ((-32)/12)/1*(-9)/6. 28 Suppose 3*r = -3*k - 12, k - 4*r = -2*r - 1. Find the common denominator of 14/10 + (-4 - k) and -7/10. 10 Calculate the least common multiple of (-1215)/(-36) + 6/(-8) and 27. 297 Let z = -4 - -6. Suppose
{ "pile_set_name": "DM Mathematics" }
o - 2*o. -13*o Collect the terms in d + 0*d + 0*d + 8*d + 2. 9*d + 2 Collect the terms in -71 - 3 - l - 19 - 19. -l - 112 Collect the terms in -10*f - 2*f + 4*f. -8*f Collect the terms in 160*d - 234*d + 79*d. 5*d Collect the terms in -3 + 5*b - 5*b - 10*b**2. -10*b**2 - 3 Collect the terms in 2*z**2 + 24 - 8 - 16 - 3*z**2. -z**2 Collect the terms in 3865*u**2 - 77*u**3 - 3865*u**2. -77*u**3 Collect the terms in -6*x + 400 - 400. -6*x Collect the terms in 4*q + 2*q + 3 + 16*q. 22*q + 3 Collect the terms in 7*q + 21*q - 1 + 8*q. 36*q - 1 Collect the terms in -18*v - 4*v - 14*v + 0*v. -36*v Collect the terms in -112*z + 54*z + 56*z. -2*z Collect the terms in 807 - 807 - 4*n. -4*n Collect the terms in -3288*x + 1644*x + 1646*x. 2*x Collect the terms in 768*y**3 - 2*y + 2*y - 786*y**3. -18*y**3 Collect the terms in 63 - 21*h**2 + 60 - 123. -21*h**2 Collect the terms in 551*p**3 - 407*p**3 + 518*p**3. 662*p**3 Collect the terms in -3*i**2 - 10*i**2 - 3*i + 3*i. -13*i**2 Collect the terms in 2 + 1 - 6*w + 2. -6*w + 5 Collect the terms in 2*o - 7*o + 4*o. -o Collect the terms in -135*w**3 + 55*w**3 + 28*w**3 + 53*w**3. w**3 Collect the terms in i - 5483 + 5483. i Collect the terms in -15 - 37*d**2 + 15 + 8*d**2. -29*d**2 Collect the terms in 0 + k + 0 + 3*k. 4*k Collect the terms in 151*v**2 - 298*v**2 + 90*v**2. -57*v**2 Collect the terms in 2*y**2 + 28*y - 298 + 298. 2*y**2 + 28*y Collect the terms in -913995 + 913995 + 10*m**3. 10*m**3 Collect the terms in 0*b + 0*b + 3*b**2 + 8*b**2. 11*b**2 Collect the terms in -16*d**2 - 19*d**2 - 6*d**2. -41*d**2 Collect the terms in 24*k + 3*k - 22*k + 4*k. 9*k Collect the terms in 2 - 8*t - 4 + 1 + 0. -8*t - 1 Collect the terms in -27*x + 18*x - 6*x - 3*x**3. -3*x**3 - 15*x Collect the terms in -3*h**2 + 14 - 3 - 11. -3*h**2 Collect the terms in -8*j - 7*j + 2*j - 6*j**2 + 13*j. -6*j**2 Collect the terms in 2 + 368*k - 3 + 1 - 370*k. -2*k Collect the terms in 5 - 5 - 1 - 2 + 3*g. 3*g - 3 Collect the terms in -2*o - 15024 + 15024. -2*o Collect the terms in -3*f**2 + 2*f**2 + 118 - 35. -f**2 + 83 Collect the terms in -15 - 4*j**2 + 2*j**2 - 3. -2*j**2 - 18 Collect the terms in 13772*z - 13772*z + z**2. z**2 Collect the terms in 5*f - 2*f + 6*f**3 - 24*f**3. -18*f**3 + 3*f Collect the terms in 12*b - 12*b - 6*b**2 + 5. -6*b**2 + 5 Collect the terms in 301*p**2 + 10*p**3 - 301*p**2. 10*p**3 Collect the terms in -3 - 4*c + 2*c + 2 - 2. -2*c - 3 Collect the terms in 0 + 0 + 887*k**2. 887*k**2 Collect the terms in 48*i - 10*i**3 + 45*i + 46*i - 139*i. -10*i**3 Collect the terms in -6*v**3 + v**3 + 6*v**3 + 5*v**3. 6*v**3 Collect the terms in -349*r**2 - 349*r**2 + 694*r**2. -4*r**2 Collect the terms in 23*q**3 + 23*q**3 - 18*q**3. 28*q**3 Collect the terms in 3 + o**3 + 5*o**3 - 10*o**3 + 0*o**3. -4*o**3 + 3 Collect the terms in 5 - 5 + 10275*z**2 - 10273*z**2. 2*z**2 Collect the terms in 11*v**3 + 16*v**3 - 17*v**3. 10*v**3 Collect the terms in -7*u + 76*u + 13*u. 82*u Collect the terms in -111*m - 111*m + 4*m**2 + 221*m. 4*m**2 - m Collect the terms in 17 + 2*f + 0*f + 1. 2*f + 18 Collect the terms in -5*z - 2*z + 7*z - 11*z**2. -11*z**2 Collect the terms in 50*c - 50*c + 3*c**3 + 5 - 5. 3*c**3 Collect the terms in 3*s + s + 0*s + 2*s. 6*s Collect the terms in 4*z**3 - 11*z**3 - 12*z**3. -19*z**3 Collect the terms in -3*d**2 + 3*d**2 - 4*d**2 + 3*d**2. -d**2 Collect the terms in -14*i**3 - 3*i**3 + 77*i**3 + 6*i**3. 66*i**3 Collect the terms in -s**3 - 5*s**3 - 4*s**3 + 5*s**3. -5*s**3 Collect the terms in 0*c**2 + 0*c**2 + 65*c**3 + c**2 + 33*c**3. 98*c**3 + c**2 Collect the terms in 116*p**2 + 113*p**2 - 229*p**2 + p**3. p**3 Collect the terms in 16*d**3 - 12*d**3 - 3*d + 3*d. 4*d**3 Collect the terms in 607*r**2 - 608*r**2 - r + r. -r**2 Collect the terms in 65*z**2 + 66*z**2 + 70*z**2 - 261*z**2 + 67*z**2. 7*z**2 Collect the terms in -4*f**2 + 4*f**2 - f**2 - 5*f**2. -6*f**2 Collect the terms in -5 - 127*z + 5 + 155*z. 28*z Collect the terms in 6*a - 5*a + 6*a. 7*a Collect the terms in -4*l - 7*l + 5*l - 5*l. -11*l Collect the terms in 913*j**2 - 1812*j**2 + 900*j**2. j**2 Collect the terms in h**2 - 59*h + 12*h + 47*h. h**2 Collect the terms in j - 34*j + j. -32*j Collect the terms in 19*w - 2 + 2 + 59*w. 78*w Collect the terms in 5*y - 7*y**3 - 5*y + 42*y**3. 35*y**3 Collect the terms in -23*n**2 + 0*n**2 + 0*n**2. -23*n**2 Collect the terms in -138*j**2 + 90*j**2 + 459*j**2 + 227*j**2. 638*j**2 Collect the terms in 130 + 103*h - 130 + 22*h. 125*h Collect the terms in -593*g**2 + 295*g**2 + 288*g**2. -10*g**2 Collect the terms in -9*p - 4*p - 9*p + 21*p. -p Collect the terms in 3*b**3 + 11*b**3 - 10*b**3. 4*b**3 Collect the terms in -53*a - 49*a + 99*a. -3*a Collect the terms in 987*v**2 + 988*v**2 - 1971*v**2. 4*v**2 Collect the terms in -348 + 348 + 21*i**3. 21*i**3 Collect the terms in 98*v**3 + 0*v**2 - 96*v**3 + 0*v**2. 2*v**3 Collect the terms in -42*k**3 + 67*k**3 - 27*k**3. -2*k**3 Collect the terms in 21*t**2 + 12*t**2 - 11*t**2 + 7*t**2. 29*t**2 Collect the terms in 5 - 5 - 20*p + 8*p + 11*p. -p Collect the terms in -29*a**2 - 21 + 29*a**2 + 21 + a**3. a**3 Collect the terms in 59*q - 39*q - 18*q. 2*q Collect the terms in 7*i**3 + i**3 + 9*i**3. 17*i**3 Collect the terms in -262 + 262 + 4*u**2. 4*u**2 Collect the terms in -q**2 - q**3 + 5*q**2 + 3*q**2. -q**3 + 7*q**2 Collect the terms in 146*s + 2 + 217*s - 4. 363*s - 2 Collect the terms in -17*c - 4*c**2 + 17*c + 13*c**2. 9*c**2 Collect the terms in -22*v**2 - 67*v + 67*v + 18*v**2. -4*v**2 Collect the terms in 234573 + 5*y**3 - 234573. 5*y**3 Collect the terms in -9*b**2 - 2267 + 2267. -9*b**2 Collect the terms in -4995*s + 4995*s - 5*s**3 + 18*s**3. 13*s**3 Collect the terms in -8*b**3 - 1688*b**2 + 1688*b**2. -8*b**3 Collect the terms in 801*n + 369*n + 482*n. 1652*n Collect the terms in -5*a - 49 + 49 + a. -4*a Collect the terms in 6*w - 3*w + 3*w + w. 7*w Collect the terms in 139*s**2 + 6*s**3 - 3*s**3 - 139*s**2. 3*s**3 Collect the terms in 3*j**3 - j**3 - 2*j**3 + j**3 - 2*j. j**3 - 2*j Collect the terms in -2*k**2 + 21*k**2 - 10*k**2. 9*k**2 Collect the terms in 3*c + 2*c**2 - 8 + 8. 2*c**2 + 3*c Collect the terms in -22*u + 8*u - 13*u - 4*u. -31*u Collect the terms in -72*h + 144*h - 3*h**3 - 72*h. -3*h**3 Collect the terms in 79*p**3 + 11*p**3 - 89*p**3. p**3 Collect the terms in -12 + 24 - 213*p**3 - 12 + 212*p**3. -p**3 Collect the terms in 1 + 0*c**3 + 3 + 26*c**3. 26*c**3 + 4 Collect the terms in -538*o - 530*o + 1067*o. -o Collect the terms in 88*n + 79*n + 87*n + 86*n - 342*n. -2*n Collect the terms in 0*q**2 - 3*q**2 + 6*q**2 - 6*q**2. -3*q**2 Collect the terms in 1 + 2 - 1 + 832*z. 832*z + 2 Collect the terms in 6*n - 37*n**2 - 41*n**2 - 6*n. -78*n**2 Collect the terms in -6*z + 4*z - 5*z - 2*z. -9*z Collect the terms in 5*x**2 + 13*x**3 - 76*x**3 - 6*x**2. -63*x**3 - x**2 Collect the terms in -4*m**2 + 58375*m - 58375*m - 3*m**2. -7*m**2 Collect the terms in -3*i - 3*i + 0*i + i + 4*i. -i Collect the terms in 3*t**2 - t**2 - t**2 - t**2 + 3*t**2. 3*t**2 Collect the terms in 2*f + 5*f - 3*f + 2*f. 6*f Collect the terms in 20*s + 5*s**2 + 6*s**3 - 20*s. 6*s**3 + 5*s**2 Collect the terms in 70*z**2 - 40*z**2 - 35*z**2. -5*z**2 Collect the terms in 7*f**2 + 0 + 0 - 5*f**2. 2*f**2 Collect the terms in 16*k - 7*k - 6*k - 5*k. -2*k Collect the terms in -1194*p**3 - 1195*p**3 + 2390*p**3. p**3 Collect the terms in 19 - 9 - 10 - w. -w Collect the terms in -51*u**3 + 67*u**3 + 62*u**3 + 11*u**3. 89*u**3 Collect the terms in 10 + 328*i + 212*i - 10. 540*i Collect the terms in 2*d**3 + 16 + 3*d**3 - 4*d**3 + 0*d**3. d**3 + 16 Collect the terms in -3*j + 20*j - 8*j + 16*j. 25*j Collect the terms in 5*i + 11*i + 3 - 17*i. -i + 3 Collect the terms in -x**2 + 15 + 11 + 19 - 45. -x**2 Collect the terms in 0 + 0*d + 0 - 4*d. -4*d Collect the terms in -2 - 5 - 19*c - 2 + 5. -19*c - 4 Collect the terms in 13*q**3 + 20*q**3 - 31*q**3. 2*q**3 Collect the terms in -82*g**2 + 19*g**2 + 24*g**2 + 25*g**2 + 18*g**2. 4*g**2 Collect the terms in -4*r + 30*r**3 + 8*r**3 - 4*r**2 + 4*r. 38*r**3 - 4*r**2 Collect the terms in 0*s**2 + 2*s**2 - 7*s**2 + 4*s**2. -s**2 Collect the terms in 17*y**3 - 326*y**2 + 326*y**2. 17*y**3 Collect the terms in 0*n**2
{ "pile_set_name": "DM Mathematics" }
. Let x be k(-12). Let t be i(x). Let d be 0/(-1*(t - -1)). Is d bigger than 2/15? False Let m = -7291202/735 - -9920. Let d = 3653/8085 - m. Is d smaller than 1? True Let l = 9.07 - 10.84. Are l and -0.3 non-equal? True Suppose 7*b = 28*b + 126. Let v(s) = s - 28. Let r be v(14). Which is smaller: b or r? r Let p(g) = g**3 + 4*g**2 + g + 1. Let z be p(-4). Let h(d) = d**2 + 8*d - 7. Let n be h(-9). Suppose 21 = -n*m + 13. Which is smaller: z or m? m Let h = -749 - -17215/23. Is h greater than or equal to 0? False Let s be (-4)/8 - (-13)/13. Are s and -2/9 non-equal? True Suppose -2*l - 3*l + 5*n - 15 = 0, -5*l + 4*n - 15 = 0. Let f be 1/(4 + 125/(-30)). Let b be (-2*3/f)/(-1). Which is smaller: b or l? l Suppose 2*y + 29 = -9. Let r = y + 59/3. Which is bigger: r or 2? 2 Suppose 4*x = x + 42. Let y be x/(-35) - (-96)/(-10). Suppose -2*j - 3 - 17 = 0. Is j bigger than y? False Let j = 0.48 - -31.52. Let a be 3 + (-4)/2 + 0. Is j at most as big as a? False Let c be (-1)/(681/(-234) - -2). Is c at most 0? False Let j = 17/23858 + 541874723/143148. Let o = -3789 + j. Let s = 7/2 + o. Is s equal to 0? False Let w(j) be the first derivative of -j**2/2 - 3. Let d be w(-2). Suppose d*q - 4*q = 0. Is q less than -2/5? False Let r(d) = 3*d**3 + 7. Let h(a) = 4*a**3 + 8. Let x(y) = -4*h(y) + 5*r(y). Let v be x(0). Let m = -2 + 6. Which is smaller: m or v? v Let b be (-2 - 3)/20*-1. Suppose 8*t - 18 = 6*t. Which is bigger: t or b? t Let g = -353 - -282. Are -348/5 and g non-equal? True Let n = 1.597 + -0.097. Are -1 and n nonequal? True Suppose -4 = 4*m - i, -2*m - 3*i = -3*m - 12. Let q = -22 + 22. Let v be q/(-2) - 2/76. Which is smaller: m or v? v Let l(b) = -b**2 - 3*b - 49. Let k be l(15). Which is bigger: k or 0? 0 Suppose -c - 118 = -5*r, 0 = -5*c - r + 126 - 638. Which is greater: -914/9 or c? -914/9 Let a be (-8)/(-6)*81/(-7722). Let v = a + 21/572. Do 1 and v have different values? True Let s(h) = h**3 - 6*h**2 + 2*h - 9. Let j be (-8)/(-3)*(-90)/(-40). Let y be s(j). Suppose y*l + l = 4. Is l less than -2/83? False Suppose 32 = -5*c + 7*c. Let f be (2/(-11))/(c - 17). Is f at least -0.4? True Let s = 53/13 + -771/52. Which is bigger: -12 or s? s Let s be 2 + (-3 - (-3 + 3)). Let j be 4*s/(-4) + 1. Suppose -j*b + l + 3 = 0, 5*l + 4 = -1. Is b bigger than -2/7? True Let z(p) = -p**2 + 12*p - 1. Let m be z(4). Which is smaller: 125/4 or m? m Suppose 0 = -46*v - 61 + 15. Does 1/1862 = v? False Let q(n) = n**3 + 7*n**2 + 14*n + 10. Let g be q(-5). Which is smaller: g or -16? -16 Let b = 0.37 - -0.73. Let n = -31/4 + 97/12. Which is smaller: b or n? n Let l = 36/221 + -3557/4199. Which is greater: 0 or l? 0 Let t be (-15272)/28980 - 4/(-7)*1. Which is bigger: t or 0.2? 0.2 Let g be ((-7)/14)/(2/20). Let y be (-9)/g*130/39. Which is smaller: 7 or y? y Let h be (-2 + (-60)/(-26))*8/400. Which is smaller: -1 or h? -1 Let x = -1.56 - -1.66. Does x = -4/11? False Let v(d) be the first derivative of d**4/4 + 7*d**3/3 - 9*d**2/2 + d + 30. Let l be v(-8). Is l equal to 7? False Let n = 9 + -24. Let a = n + 20. Let d be (13/(-5) + 4)*a. Is d > 7? False Let t = 11 - 16. Which is smaller: 0.09 or t? t Suppose -1753 - 5195 = 9*m. Which is smaller: m or -773? -773 Let t = 206 + -214. Let f = 2 - 7. Do f and t have different values? True Let o = -44 + 36. Is 0.2 bigger than o? True Let f(o) = -o**2 - 7*o - 9. Let w be f(-3). Suppose d = w*j - 6, 0*j - 8 = -4*j + d. Which is greater: 3/11 or j? j Suppose 368*k - 370*k - 2*h = 62, 5*k - h = -155. Suppose -2*z = 4*i + 78, -3*z = 5*i - 0*i + 113. Is z greater than k? False Let d = -0.0673 + -0.8327. Which is smaller: -26 or d? -26 Let v = -7247/49362 - -17/114. Which is smaller: 1 or v? v Suppose -4*r = 0, -6*t = -2*t - 5*r. Suppose -y = 0, t*i = 5*i + 5*y + 250. Let z be 32/5 - (-20)/i. Which is smaller: z or 5? 5 Suppose -3*z + 6 = 0, -i + 6*i + 239 = -3*z. Let n = i + 344/7. Which is smaller: 0 or n? 0 Let j = 64 - 19. Let n = j + -43. Is n not equal to 0.02? True Suppose j = -3*m + 2, -3 = 5*m - 4*j + 5. Are m and 4/21 equal? False Let d be 2/(-9) + (-79)/9. Let m = -8 - d. Let z(t) = 3*t**2 + t - 2. Let b be z(m). Which is smaller: b or 1? 1 Suppose 31 = -6*s + 127. Let x be 11/(-9) - s/(-72). Which is bigger: 2/33 or x? 2/33 Let v be 0 - (-12)/(-3) - 54. Let l be 2/4*v/(-39). Let j = -937/1365 + l. Is 1 bigger than j? True Let a(n) = 3*n + 39. Let y be a(-17). Let r be 24/28*3/y. Do r and 1 have the same value? False Let b(w) = -2*w**2 - 6*w + 5. Let n = -24 + 18. Let p be b(n). Let x = p + 31. Which is bigger: x or -1/14? x Let x(t) = 48*t + 54. Let z be x(-1). Which is smaller: z or 87/16? 87/16 Let o be (-4)/(-5)*(-25)/(-10). Suppose -5 = x + c, -x + o*c - 5 = 6. Let q be 12/15*((-825)/10)/11. Which is smaller: q or x? x Suppose -5*u + 0*u - 55 = 0. Let b(m) = -9*m + 4. Let i(x) = 5*x - 2. Let p(n) = u*i(n) - 6*b(n). Let l be p(-4). Is 2 equal to l? True Suppose -12 = -3*w, -u + 61*w - 2 = 60*w. Suppose 0 = q + b + 101, 3 - 19 = 4*b. Let l = -481/5 - q. Is l >= u? False Let i(k) = 45*k + 7. Let q be i(-2). Let d = -337/4 - q. Which is bigger: d or -1? -1 Let s be ((-256)/(-42) - 6)*(-6)/104. Which is smaller: 1 or s? s Suppose -2*o = -3*v + 27 + 13, 30 = -3*o - 3*v. Let p(n) = -n**3 - 15*n**2 - 20*n + 12. Let g be p(o). Which is bigger: g or 95? g Let f = 184/25 - 173194/23525. Which is bigger: -1 or f? f Suppose -26 = -41*z + 15*z. Which is smaller: z or -1/799? -1/799 Let a = -1.1 - -0.1. Suppose -105 = 5*n + 3*g, 2*n = -4*g - 19 - 9. Let v be (-10)/35 + n/(-182). Is a greater than or equal to v? False Let q = -260 + 358. Are q and 98 nonequal? False Let n be ((-21)/8)/((-1848)/368 + 5). Which is smaller: 120 or n? 120 Let l(s) = 5*s + 131. Let m be l(-26). Which is bigger: m or -6? m Let k = -59 + 154. Let v be (-16)/50*k/(-38). Let q(i) = i**2 + 8*i + 2. Let z be q(-8). Is z less than or equal to v? False Let i = -0.18 + 0.19. Let b = 37.01 - i. Let m = -37 + b. Which is bigger: m or 18? 18 Let f = -35 + 42. Suppose 0 = -4*p + f + 5. Which is greater: 15/4 or p? 15/4 Let y(a) = 2*a + 16. Let d be y(-8). Suppose d = -0*x - x - 3. Which is greater: 0 or x? 0 Let f = 2.3 + 0.3. Let p = f - -1.9. Let y = p - 2.5. Which is smaller: 2/5 or y? 2/5 Suppose o = -4*y - 13, -y = -2*o - o. Let z be (-1 + (-21)/(-18))*o. Let k(v) = -2*v**2 - v. Let i be k(-1). Which is bigger: z or i? z Let h be -6*(847/280 - 3). Which is smaller: h or 1? h Let i(p) = -112*p**2 + 33*p - 34. Let o be i(1). Which is bigger: -115 or o? o Let p(h) = 7*h. Let o be p(-1). Suppose m + 2*l + 0*l - 22 = 0, 2*m = -5*l + 48. Let j = -19 + m. Is j < o? False Let d = -47/2 + 24. Let t be ((-3)/(-6))/(26/8 - 3). Which is smaller: t or d? d Let l = -0.1 + 0.2. Let s = 12.145 + -12.245. Which is smaller: s or l? s Suppose -5*l = 2*x + 15, -12 = x + 3*l + l. Which is smaller: x or -5/59? -5/59 Let i = -313 - -313. Which is smaller: i or 2/127? i Suppose -b + 700 = 2*t + b, 0 = 3*t - 5*b - 1034. Let h be ((-1)/8)/((-6)/t). Which is smaller: h or 6? 6 Let x(j) = -j**2 + j + 2. Let k be x(-2). Let c be (-2)/((-126)/(-33) + k). Is c equal to 10? False Let h = -371 - -370. Is 2/259 greater than or equal to h? True Let a(t) be the second derivative of -t**5/20 - t**4/12 - t**3/6 + 3*t. Let o be a(-2). Let v be o/27 + 606/(-54). Which is smaller: -10 or v? v Suppose 3*p + 3 = 6*p. Let h(q) = q**2 + 9*q + 17. Let w be h(-7). Let t be w*-2*(-36)/(-54). Which is smaller: p or t? t Suppose 4*r - 2*d = -0*d + 138, 137 = 4*r - d. Let l be (r/51)/((-14)/3). Let c = 1/3 - 0. Which is smaller: l or c? l Let o(c) = c**3 - 3*c**2 + 5*c - 7. Let m be o(2). Which is greater: -6/209 or m? -6/209 Let q(k) = k**3 + 4*k**2 + 2. Let a be q(-4). Let p be (-185)/(-30) - a/12. Suppose b + p = -2. Is b at least -8? True Let a = -15516 + 325982/21. Let u be (-1)/4 + 507/(-84). Let v = a + u. Which is greater: 2/7 or v? v Let b = -165 + 118. Suppose 12*o + 899 - 347 = 0. Which is smaller: o or b? b Let k = 1.5 - 0.9. Let n = k - 0.5. Is -0.45 bigger than n? False Let n(t) = 4*t - 23. Let w(k) = -9*k + 47. Let x(s) = -7*n(s) - 3*w(s). Let z be x(20). Is z < 33? True Let r = -2568650/393 - -6536. Do r and -1 have the same value? False Suppose -2*i = -5*b - 1 - 7, 5*i - 20 = 4*b
{ "pile_set_name": "DM Mathematics" }
is the second biggest value in 0, -5.7, g? 0 Suppose 42 = 16*x - 38. What is the third smallest value in x, -2, 0.4? x Let i = -162.2 + 140. Let h = i - 4.8. Let z = 27.4 + h. Which is the third smallest value? (a) z (b) 3 (c) -0.06 b Let n = 17.992 - 18. Let v = -0.492 + n. What is the second smallest value in 0.01, -0.3, v? -0.3 Let g(z) = -z - 9. Let w be g(-11). Let l be (-341)/(-66) - 1/6. Suppose -3*i + 4 = -l*i. Which is the third biggest value? (a) i (b) w (c) 0 a Let c = 314 - 348.3. Let l = c + 34. What is the third smallest value in l, 1/7, -4? 1/7 Let c = -1.2 - -0.2. Let i = 0.356 + -302.556. Let l = i - -302. What is the third smallest value in l, c, -0.1? -0.1 Let d = 0.087 + -8.087. Which is the second biggest value? (a) -3 (b) d (c) 1 a Let g = 6/5 + -8/5. Suppose b - 6*b + 25 = 0. What is the third biggest value in -1/3, -6, g, b? g Let p = -1 - -1. Let v = 171.9 + -176.9. What is the second smallest value in v, p, 1, 0.06? p Let f = 0.2 + 0.2. Let b = f - -0.6. Let p = -409 + 6137/15. What is the biggest value in b, p, 1/7? b Let d = 900 - 896. What is the second smallest value in -0.5, d, -4, -0.1? -0.5 Let b be 3*(-4)/(-12) + -1. Let r be ((b - -2) + -3)*-1. What is the second smallest value in 1/4, -4/3, r? 1/4 Let s(x) = -5*x + 3. Let a be s(0). Let f be (0 - (-4)/6)/(1/a). Let r = -444/2321 + 2/211. What is the second biggest value in r, 0.1, f? 0.1 Let w = 0.0973 - 0.0973. Which is the biggest value? (a) w (b) 5/4 (c) 32/7 (d) -2/5 c Let g = 374 - 361. Which is the second smallest value? (a) 2 (b) 0.3 (c) g (d) -0.5 b Suppose -12 = -27*t + 24*t. Suppose -5*g + 3 + 2 = 0. Let k be (-4)/(-8)*t - g. What is the second biggest value in 3, k, 2/15? k Let q be -4 + 1 + (1 - -3). What is the fourth smallest value in q, 0, 4, -12/29? 4 Suppose -5*w + 14 = -2*l - 18, -4*l + 14 = 3*w. Suppose 3*m = -0*m - 120. Let v be m/30*w/28. Which is the second biggest value? (a) v (b) 2 (c) 4 b Let i = 0.881 + -0.581. Let g = -0.03 + 4.03. Which is the second biggest value? (a) g (b) i (c) -2 b Let j be 2/(-4) - 436/(-792). Let m = j - 3/11. What is the third smallest value in m, 3, -1/2? 3 Let m = -0.049 + -4.351. Let z = m - -4.8. Which is the third smallest value? (a) z (b) -5 (c) -4 (d) 3 a Let d = 2 - 4. Let b = 30849/5 - 6169. What is the smallest value in -1/13, d, b? d Let u be 63/(-156) - 2/(-8). Let y = 1.13 + 8.37. Let m = y - 10.5. Which is the second smallest value? (a) u (b) m (c) -0.5 c Let x = -150 - -146. Which is the smallest value? (a) 0 (b) -20 (c) 3 (d) x b Suppose 3*i = m + 1 + 14, 23 = 5*i - m. Let g = -10 + 7. Which is the second smallest value? (a) -0.2 (b) g (c) i a Let c = 123.7 + -123.6. Let g = -0.28 + -0.02. What is the second smallest value in g, c, -5, -1/6? g Let u = -2.5 + 2.1. What is the third smallest value in u, 0.39, -5? 0.39 Let m be (4/(-6))/(((-161)/(-21))/1). What is the second smallest value in 3, -2.8, m? m Suppose 5*n + 8 = 148. Let s = 141/5 - n. Which is the third smallest value? (a) s (b) -0.6 (c) 4 c Suppose -4 = 2*g - 10. Let z = 84258/5 + -16709. Let a = 143 - z. What is the second biggest value in 0.1, a, g? a Suppose -13*r = -16*r + 39. What is the second smallest value in -0.2, r, 1/5? 1/5 Let g = 25 + -25. Let p = g - -4. Let b be (74/(-38) + 2)*2. What is the biggest value in b, p, 0.4? p Let j be 1*(6 + 0/(-5)). Which is the second smallest value? (a) 0.08 (b) 4/3 (c) j b Let t = -0.0041 - 1.9959. Which is the smallest value? (a) 0.2 (b) 43 (c) t c Let d = 22 + -35. Let a = 14 + d. Let o = 1.5 + 0.5. What is the second smallest value in -2/13, o, a? a Let z = 1304.2 - 1304. Which is the third smallest value? (a) 277/4 (b) z (c) 0.5 a Let w = 496 - 496.1. What is the fourth smallest value in w, -1.1, 4/9, 1/4? 4/9 Let n(v) = -21*v - 58. Let l be n(-3). Let o = 0.5 - 0.9. Which is the biggest value? (a) l (b) 3 (c) o (d) -1 a Let t(f) = f**2 - 2*f. Let l be t(-1). Let p(k) = 2*k + 16. Let d be p(-11). Which is the third smallest value? (a) 0.1 (b) d (c) l c Let i be ((-4052)/(-930))/((-44)/6). Let z = -2/341 + i. Let n = -376.8 - -377.1. What is the biggest value in 0, z, n? n Let g = -1.145 + 1.645. Which is the third biggest value? (a) -108/13 (b) -1/5 (c) g a Let j(r) = -4*r**2 - 2*r + 1. Let q be j(-2). Let f = 10 + q. Let u = -152/45 - -34/9. Which is the second smallest value? (a) 5 (b) u (c) f b Let n be (-320)/32 + 112/11. Let d be 0 - 4/2 - -1. Let l = 5 - d. Which is the third smallest value? (a) l (b) 2 (c) n a Let m be (-28 + 30)/(0 + 11*-1). Let i be 2/(-4)*7/7. Let u be 1/5 + 14/30. Which is the second biggest value? (a) m (b) i (c) u a Let x = 476 + -476. What is the third smallest value in 2, -1, x? 2 Let j = -0.037 + -4.263. Let d = -4.7 - j. Let q = 0.27 - 13.27. What is the third smallest value in -3/5, d, q? d Let l be (-3)/(-9) + 1/(-12). Let r = 0.12 - -10.08. Let a = 10.1 - r. What is the second biggest value in l, -3, a? a Let q = 6.599 + -1.599. Which is the second smallest value? (a) q (b) 0 (c) -1/2 (d) 0.3 b Let i(f) = f**3 - 3*f**2 - 7*f - 3. Let g be i(5). Suppose -144 = g*z - 0. What is the third biggest value in -3, z, 2? z Suppose -912 = -14*q + 2*q. Let w = -17 + q. What is the second biggest value in 3, 2/3, w? 3 Let f = 0.14 + -0.036. Let v = 0.896 + f. Which is the smallest value? (a) 2/3 (b) v (c) 2 a Let n = 599 - 599. Let j = -16.6 + 9. Let w = j + 7. What is the second smallest value in n, w, 0.1? n Let v = -1010 - -5049/5. Let p = -10 - -15. Which is the third biggest value? (a) v (b) 22 (c) p a Let l = 7.58 + -0.58. What is the biggest value in -9, l, 0.1? l Let q = -0.04514 + -22.98286. Let m = -0.028 - q. What is the second smallest value in -1/4, 0.2, m? 0.2 Let u = -374 - -1120/3. Which is the third smallest value? (a) -3 (b) -0.32 (c) u (d) -0.3 b Let g be 11 + -13 - (8/(-2))/(-2). Let n = -1.24 - 1.84. Let k = -0.08 - n. What is the third biggest value in g, k, 0.1? g Let r = -1 - 6. Let s = 7 + r. Let g be (0 + -1 + -1)/(25 - 15). Which is the biggest value? (a) g (b) s (c) 1 c Let g = -1126 - -1128. Let y(f) = f**3 - 6*f**2 + 5*f - 2. Let s be y(5). Let h be s*1*-1 - -1. What is the second smallest value in g, h, -2? g Let y = -0.1 - -0.1. Let z be 6/8 + 116/(-112). What is the third biggest value in -2/3, -2/5, y, z? -2/5 Let f(b) = -2*b - 2. Let v be f(-3). Suppose 3*j + v = -8. Let g be (2/j)/(9/(-36)). What is the third biggest value in -5, g, 4? -5 Let j be 2 - ((-6)/(-4) - 0). Let v = 1081 + -1084. What is the second biggest value in -5, 3/8, j, v? 3/8 Let o = 2.8 + 1.2. Let w = -8 + o. Let a(p) = p**3 - 7*p**2 - p + 10. Let f be a(7). What is the third smallest value in w, 0, f? f Let s = 3358/15 - 224. Which is the biggest value? (a) s (b) 11 (c) 1/6 b Let u = -1.271 + -3.729. Which is the third smallest value? (a) -4 (b) 11 (c) u b Let w = 19.88 + -20. Let n = -0.08 + w. Let x = 1.11 + -1.11. Which is the third biggest value? (a) n (b) x (c) 0.2 a Suppose -m = s + 1, 5*m - 12 = s + 7. Which is the second smallest value? (a) -40 (b) -1 (c) m b Let g = -21 - 62. Let r = -82.97 - g. What is the fourth smallest value in r, 2/5, -0.2, -3? 2/5 Let c = -30 + 1. Let v = c - -19. Let b be (1/(-2))/(v/(-12)). What is the second biggest value in b, -5, 5? b Let j be (-8)/144*-58 + -3. What is the second biggest value in -0.22, -1, j? -0.22 Let f = -197 - -118. Let s = f - -83. Which is the second biggest value? (a) -5 (b) -2 (c) 0 (d) s c Let m be 1088/210 - (-16)/56. Which is the smallest value? (a) -1/3 (b) m (c) 0.3 a Let t = 0.031 + 11.969. What is the smallest value in t, 0.2, 2/25? 2/25 Suppose 2*n + 15 = 5*n - 3*x, 2*x = -2*n - 2. Let s = -4.2 - 1.5. Let k = 4.7 + s. Which is the third smallest value? (a) k (b) n (c) 5 c Let m = 0.1984 + 69.8016. What is the biggest value in m, -0.1, -2, -4? m Let y = 0.86 + -0.879. Let f = 22.981 - y. What is the third biggest value in 1/6, -1, f? -1 Let n be (-1)/(-4)*(-4)/3. Suppose -16 = -4*s - 4. Suppose s*z = 2*z + 1. Which is the smallest value? (a) z (b) n (c) 3 b Let w(u) = 4*u - 21. Let t be w(-10). Let o = t + 63. Which is the smallest value? (a) 0 (b) 19 (c) o (d) -1
{ "pile_set_name": "DM Mathematics" }
than i? True Suppose 0 = 5*l + 3*m - 24, 2*l + 4*m = m + 15. Suppose -t - 2 = -3*n + 3*t, 4*n + l*t = -14. Which is greater: -3/4 or n? -3/4 Let p(l) = 2*l - 7. Let g be p(5). Suppose -g*w = -7 + 4. Let r be 3/14 + 4/14. Is r > w? False Let z = 4 - 4.7. Let s = 0.6 + z. Is s equal to 5? False Let h be 2 + (2 + -4 - -1). Let s = 1 + h. Suppose 5*j - 3*j + 2*d - 12 = 0, -2*d = j - 8. Is j at most s? False Let o(p) = p + 2. Let w be o(7). Let q = w + -5. Let i be -2*(30/q)/(-5). Are i and 4 non-equal? True Let n(f) = -f**3 - 9*f**2 + 3*f + 10. Let r be n(-7). Let g = r + 979/9. Suppose 0*q = -4*q. Which is greater: g or q? q Let u be (-363)/6 + (-2)/8*2. Which is greater: -62 or u? u Let l = -311/1312 + 11/41. Which is smaller: 0 or l? 0 Let r be 3/(-6) - 46/(-28). Let n be 1 - (-45)/(-27) - 4/(-6). Which is smaller: n or r? n Let i = 4 - 13. Let d = i + 6. Let v = 2 + -2. Which is greater: d or v? v Let k be 22/6 - (-4)/(-6). Let y(l) = 1. Let h(t) = -t. Let r(j) = 3*h(j) + 4*y(j). Let s be r(k). Which is smaller: -6 or s? -6 Let b = -2079 - -12509/6. Which is bigger: b or 5? b Let d(k) = k**3 + 6*k**2 - 7*k - 1. Let v be (-14)/(-4)*(-4)/2. Let l be d(v). Is -2 smaller than l? True Let x be (-28)/(-3) - (-4)/6. Let s(c) = 2*c - 11. Let p be s(x). Let k be 6/p*3 + 0. Are 2 and k nonequal? False Let o(j) = j**2 + 7*j + 5. Let n be o(-5). Suppose 5*f - 9*f = -24. Let y = f + n. Is 3 greater than or equal to y? True Let h = -11.7 - -11. Let a = -0.3 + h. Which is smaller: a or 0.01? a Let a(m) be the first derivative of -m**4/4 - 7*m**3/3 + 7*m**2/2 - 8*m + 4. Let n be a(-8). Is 0 bigger than n? False Suppose a = 3*a. Let i(m) = m**3 + 10*m**2 + 10*m + 9. Let r = -32 - -23. Let x be i(r). Are a and x unequal? False Let r be (-38)/42 - 1/(-3). Let h be (-4 + 8/2)/2. Are r and h unequal? True Suppose -7*g = 5*s - 11*g - 4, s - g - 1 = 0. Let a = 1132/13 + -87. Is a at most s? False Suppose -5*w + 493 - 33 = 0. Let b = w - 645/7. Suppose -5*y - 9 = z - 2, -5*z - 9 = -y. Is y < b? True Let q = -3 - -10. Let x be (-2)/q + -3 - -3. Suppose -a = -2*a. Which is smaller: a or x? x Let c(b) = -b - 4. Suppose 2*v + 9 = -1. Let a be c(v). Which is greater: a or -1? a Let x = -1 - -3. Let r(l) = 5*l**2 - 2*l**2 + 4*l - 2*l**2 + x*l - 2. Let u be r(-6). Are u and -3 equal? False Let m = -0.07 - -1.07. Is 0 at least as big as m? False Let r = 0.13 - 0.05. Which is smaller: 0 or r? 0 Let f(n) = n**2 + 5. Let b be f(0). Let c = -16 + 0. Let z = 20 + c. Which is bigger: b or z? b Suppose -t = 2*y - 5, -3*t - y + 5 = -0*y. Suppose -2*s - 2 = -2*b - 0, 3*b - t = 5*s. Which is smaller: -1 or s? -1 Let g(n) = -n**2 + 23*n + 49. Let i be g(25). Let h be 0 - 2 - 6/(-4). Which is bigger: h or i? h Let y = -1 - -2. Let o = y - 3. Let m = 6/11 - 29/33. Is o at most as big as m? True Let g = -18 + 14. Suppose -4 = 5*n - 39. Suppose -6*f + 3*f = r + n, -9 = r + 5*f. Is g bigger than r? False Let l = -4 + 4.5. Let o = l - -0.5. Let t = 1 + o. Does 2 = t? True Suppose 0 = -2*p - 0*p + 4. Let j be 3 + -2 + 2 + -1. Suppose 4*f - j = 2*f. Are f and p unequal? True Let z = -43 + 131/3. Let v = 31 + -30.9. Are z and v equal? False Let x = -848/11455 - -2/395. Is x equal to -1? False Let j be 6/(-2) - 62/(-18). Suppose -3*h + 1 = -2. Suppose 5*x - 3*f + h = 0, 0 = -2*x - 4*f + 1 + 9. Which is bigger: j or x? x Suppose 2*l - 138 = -4*a, 0*a + a = -3*l + 32. Suppose -4*j = -9*j + a. Let t = -8 + j. Is -2/9 at least as big as t? True Let h = -22 + 26. Let p = 0 + -0.1. Which is smaller: h or p? p Let o be 6/4 - 1/(-2). Suppose 0*g - g = o. Is -2 not equal to g? False Let u be 6/4*(0 - -4). Suppose -3*s + 3 = -u*s. Let m be (3/9)/(2/(-6)). Are m and s non-equal? False Let m be ((-4 - (-3 + -8)) + -4)*-1. Let p(k) = k**2 - 7*k + 7. Let o be p(5). Is o greater than m? False Let k(j) = 4*j - 2 + 11 + j**2 - 13*j. Let f(a) = 2*a + 2. Let n be f(3). Let w be k(n). Is 2 greater than w? True Let a(v) = -3*v + 1. Let t be a(-1). Let s = t - 2. Which is smaller: 1 or s? 1 Let v be ((-18)/(-15))/(6/15). Let b(h) = -h**2 + h + 2. Let w be b(v). Is w != -4? False Let u = -2/19 + 41/209. Which is greater: u or 0.2? 0.2 Suppose -4*o + m = 0, -o + 4*m + 7 = 2*m. Suppose -5 = c - 4. Do o and c have different values? False Let v = -5 + 6. Which is smaller: v or 7/6? v Let i be 6/(-3)*(-1)/(-1). Let w be (0 + (-2)/(-4))*i. Let n = -63 - -312/5. Which is greater: w or n? n Let m = -7347/17 + 432. Is 1 equal to m? False Let c be (-3)/12 - 39/(-12). Suppose -4*l - 2 = -3*x - c, 0 = -5*l - 4*x + 9. Which is smaller: 0 or l? 0 Let n = -4 + 3.9. Let c(s) be the first derivative of -s**2/2 + 2*s + 1. Let v be c(2). Is n > v? False Let u = 0.1 + -0.1. Let t = u + 0.2. Let y = -0.119 - -0.019. Is t less than y? False Let p be (0/1)/(-5 + 6). Do p and -6/5 have different values? True Let m = 1.1 + -0.1. Is 2.6 not equal to m? True Let j be (5/(-55))/(2/24). Let o(g) = -g**2 - 5*g - 5. Let x be o(-4). Is x < j? False Suppose -2*m - 40 = -4*l, 5*l = 4*m + 6*l + 35. Is -9 at least as big as m? True Let d = -21 - -25. Let s = d + 0. Let u be 0/1 - (-4)/(-10). Which is smaller: s or u? u Let y(u) = u - 2. Let z be y(-2). Let v be 32/(-6) + (-4)/6. Let w be 9/v - (-2)/z. Is -1/5 at least as big as w? True Let f = -37/93 - -2/31. Does f = 0? False Let t(s) = -2*s + 3. Let r be t(-18). Is 39 smaller than r? False Let j(t) = -t + 11. Let p be j(8). Let o be 2/p + (-3)/9. Which is smaller: o or -0.1? -0.1 Let i = 24 - 47/2. Which is smaller: i or -2/27? -2/27 Let h(g) = -7*g**2 + 4*g**2 - 7 + 9*g - 7*g**2 - g**3. Let j be h(-11). Which is smaller: j or 14? 14 Let j = -5 + 4. Suppose 7*i = 2*i + 20. Suppose -i*a + 3*a + 6 = -2*w, 4*a - 3*w = 9. Which is bigger: j or a? a Let v = 1.6 + 0.4. Let b = -2.3 + v. Is -0.1 <= b? False Let f(j) = -j**2 - j - 1. Let s(a) = -5*a**2 - 9*a - 7. Let l(y) = 4*f(y) - s(y). Let h be l(-3). Suppose -5*n = 1 + 9. Which is smaller: n or h? h Let d = -92 - -1013/11. Is d at least -1? True Let f = 4 - 7. Let s = f + 3.1. Let r = 0 - -0.2. Which is smaller: r or s? s Let d = -46 + 65. Let t = -13 + d. Is t less than -1? False Let u(y) = y**2 + 4*y - 1. Let w be u(-3). Is -5 smaller than w? True Let p = -5 - -1. Let i = 4 + p. Let h = -1 + i. Are -0.1 and h nonequal? True Let w = -163/3 - -381/7. Which is bigger: 1 or w? 1 Let s be 35/42*206/5. Let h = -34 + s. Which is bigger: h or 2? 2 Let t(a) be the second derivative of a**4/4 + a**3/3 - 3*a**2/2 + a. Let c be t(2). Let g be (1 - (-15)/c) + -2. Is -1 not equal to g? True Let x = 22 - 12. Suppose 0 = -5*h - r - 26, 2*r + 27 = -5*h - 0. Let c be (1/2)/(h/x). Is c bigger than -1/4? False Let q be 33/(-68) + (-1)/(-4). Let w be (-138)/8*(-48)/918. Let f = q + w. Which is smaller: 2/7 or f? 2/7 Suppose 2*r + 0*r = -5*i + 44, 40 = 3*r + i. Are -1 and r unequal? True Let o = 0.919 - -0.081. Which is smaller: o or -0.07? -0.07 Let r(f) = -f**2 - 3. Let n be r(-3). Let k be 18/(-20) + (-6)/n. Which is bigger: -1/3 or k? -1/3 Suppose -g + 0*g = 4, -2*g = -5*x - 2. Which is bigger: 1/2 or x? 1/2 Let s = -18 + -7. Let w be 5/s - (-8)/(-10). Is w greater than 2/5? False Let d = 0 + 6. Suppose c = 2*x, -x - 2*c + d = 1. Is x at least -0.15? True Let v be (-8)/20 + 2 + -1. Is 2/3 < v? False Let o = 0 - -3. Suppose -1 + 3 = x, 12 = o*s + 3*x. Let f be (-2)/(-4)*(s - 3). Is f > -1? True Suppose -8 + 3 = -5*y. Let g = -4 + 4.4. Let l = g - 0.7. Are y and l equal? False Suppose 3*g = 7 - 1. Let o = 5/31 - -73/124. Is g equal to o? False Let a(u) be the first derivative of -u**2/2 + 3*u + 1. Let f be a(4). Let j = -52 + 154/3. Which is greater: j or f? j Let a be (2/3)/(4/(-30)). Let c be 4/(-10) + 8/a. Let i = 1 - 4. Is c less than or equal to i? False Let a = -2 + 1. Let l = 0.9 - -0.1. Is a greater than or equal to l? False Suppose m = -21 + 22. Let u be (-12)/(-10)*(-5)/13. Which is bigger: m or u? m Let i(s) = 5*s**3 + 3*s**2 - s - 4. Let y be i(-2). Which is smaller: -3 or y? y Suppose -l + 4*g = 12 - 3, g = l. Let a be (l/(-3))/((-1)/2). Suppose -4*v + 20 = 0, -33 = -5*p - 5*v + 2. Are a and p nonequal? False Suppose 0*u = 5*u + 15. Let x = -1 + u. Which is smaller: x or 0? x Let f be (2/6)/(10/180). Suppose 5*t - 20 = 2*s, f*s - s - 2*t = -8. Are s and -
{ "pile_set_name": "DM Mathematics" }
-6.344 + 0.044. Let j = 6 + m. Let y = -582/5 + 116. What is the closest to 1 in 3, y, j? j Let g = 1 + -32. Let k = g + 30. What is the closest to 0.3 in k, 2, -0.4? -0.4 Let u = 14 - 10. Let w = -4.89 - 0.11. Let g = u + w. Which is the closest to g? (a) -0.2 (b) -1 (c) -2 b Let r = 1.4 - 0.4. What is the nearest to r in 0.4, 2, 0.1? 0.4 Let f = 1/3 - -1/6. What is the nearest to -1/2 in -1/3, -2, f? -1/3 Let q = -4 - -3.8. What is the nearest to q in 0.3, -0.2, 2? -0.2 Let m = -3 - -6. Which is the nearest to m? (a) -2/3 (b) -0.2 (c) 4/3 c Let u = -106 - -106. Which is the closest to 0.03? (a) 3/8 (b) u (c) -4 b Let x = 2.212 - 0.212. Let g be 2/(-4) + (-6)/(-8). Which is the closest to g? (a) 1 (b) x (c) -5 a Let j = -1.32 + 0.92. What is the closest to -5 in -3/4, -3, j? -3 Let y = 23 - 26. Which is the nearest to -13? (a) y (b) -4/3 (c) 3/2 a Let p be (6/(-9))/((-1)/6). Let k = -2.1 + 3.1. Suppose 2*t - 2 = 0, -6 = 2*f + f - 3*t. Which is the closest to k? (a) -1/3 (b) p (c) f a Let s = -10.5 - -11. Let n be 8/12*(-6)/2. What is the closest to -1 in s, -0.1, n? -0.1 Let v = 0.6 - 0.8. Let s = -14 + 39. Suppose -s = -0*z + 5*z. Which is the closest to 1/2? (a) v (b) z (c) 0 c Let n be (-16)/(-3) + (-4)/(-6). Let u = n + -6. Let i be -1 + 1 + (-2)/(-12). Which is the nearest to 1? (a) u (b) i (c) -2 b Let r = 5 - 5. Suppose -3*s = s + 16, s = -3*c + 2. What is the closest to c in 1/9, r, -1? 1/9 Let w(g) = g**2 - 5*g + 2. Let n be w(5). Which is the closest to 1/4? (a) -3 (b) n (c) -0.4 c Let z = 8 - 7.7. Let s = -2 + 0. Let o = 5 + s. Which is the closest to -2? (a) o (b) -3 (c) z b Suppose -n - 13 = -5. Let z be 2/n - (-17)/4. Which is the closest to -0.1? (a) -5 (b) 0 (c) z b Let q = 1.86 + -1.46. Let s = -2 - -2. Let l = 0.8 - 1. What is the nearest to -2 in s, l, q? l Let w = 66 + -61. What is the closest to -0.1 in 0, w, 1/4? 0 Let k = -3 + 2.5. Which is the nearest to 0? (a) 0.1 (b) k (c) 3/4 a Let o = -2.1 + 2. Let n = 3.48 + -0.08. Let k = -2.4 + n. Which is the closest to k? (a) o (b) -5/3 (c) -5 a Let m = 0.05 + -1.25. Let d = 1.1 + m. Which is the closest to 0.1? (a) 2 (b) 2/3 (c) d c Let n = -15 + 15. Which is the nearest to n? (a) 0.4 (b) -2 (c) -3/2 a Let i = 7 + -6. Let u = -7.88 - -7.9. What is the closest to u in i, -2/11, 2? -2/11 Let h be 27/(-20) + (-9)/(-15). Suppose 2*q = q + 2. Which is the closest to q? (a) 1 (b) -0.3 (c) h a Let q = -0.14 - -0.23. Let o = 0.39 - q. What is the nearest to 0 in -2/13, o, -5? -2/13 Suppose 4*o + y + 9 = 0, 4*o + 4*y + 2 = -10. Let p be 2/(-7)*o/4. Which is the closest to -0.3? (a) p (b) -2/17 (c) -0.3 c Suppose -2*b + 57 - 5 = 0. Let k be ((-4)/1)/(b/13). Let o = 23/2 + -51/4. What is the closest to -1 in k, -5/2, o? o Let o = -38 + 39. What is the closest to o in 5, 2/11, 0.5? 0.5 Let h = 22/35 + 4/105. Let d = 0 + -0.1. What is the nearest to -0.1 in h, d, 5? d Suppose -u + 6*u = -5. Which is the nearest to u? (a) 1/5 (b) 2 (c) -2/15 c Let s = 153 - 153.1. Which is the nearest to -0.2? (a) 5 (b) 2/9 (c) s c Let m = 0.37 + -2.27. Let k = 0.1 - m. Which is the closest to k? (a) -0.2 (b) -5 (c) -0.4 a Let v be (-6)/(2/5*15/(-4)). Which is the nearest to -5? (a) v (b) -3 (c) -0.3 b Let n(d) = -d**2 - 8*d + 10. Let l be n(-9). Let s = 199/11 + -18. Which is the closest to l? (a) 1 (b) 0.5 (c) s a Let u = 493/4 + -123. Which is the nearest to u? (a) 6 (b) -4 (c) 5 b Let k = 509.671 - 76.661. Let w = 438 - k. Let i = -0.01 - w. What is the nearest to 0 in -2/11, i, -3? -2/11 Suppose -10 + 18 = 4*z. Which is the closest to z? (a) -1/3 (b) 1/5 (c) 2/9 c Suppose 0 = -4*q + 4 + 8. Suppose 2*t = q*g - 0 + 1, -g = 2*t + 11. Which is the nearest to -2? (a) -0.5 (b) t (c) 0.3 a Let r = 48.1 + -48. Let g = -0.07 - -3.07. What is the nearest to -5/2 in g, -5, r? -5 Let s = -0.16 + 0.06. Let m = -15 + 13. What is the closest to s in m, -0.5, -3/5? -0.5 Let f = 87.43 - 88. Let n = f - -0.07. Let p = -2 - -1. What is the nearest to -1 in 0, p, n? p Let u = 0.1 + 0.4. Let b = 1.1 - 1. Let s = 0.1 - b. What is the closest to -1 in 1/5, s, u? s Suppose -u + 1 = -3. Let x = -2 + u. What is the nearest to -1 in x, -1, 2/5? -1 Let v = 2 - 2. Let x(z) be the first derivative of -z**4/4 + 2*z**3/3 - z**2/2 - 2*z + 2. Let r be x(2). Which is the nearest to v? (a) -2/9 (b) -2/15 (c) r b Let o = 23/15 + -6/5. What is the closest to 2 in o, -2/13, 4/5? 4/5 Let h be 9/((-567)/(-24)) + (-2)/(-7). Let j = 0.1 + -0.3. Which is the closest to -0.1? (a) h (b) j (c) 0.1 b Let w = -147/685 - -2/137. What is the nearest to -1 in -5, -1, w? -1 Let m = 16 + -16.8. Let f = m + 1. Which is the closest to 1? (a) -0.1 (b) f (c) 2 b Let i = -0.8 - -0.84. Let u = 0.04 - i. What is the closest to -1/2 in 0.2, 2/9, u? u Let o = -2 - -2. Suppose p - 5*h + 4 + 5 = 0, h + 1 = 3*p. Let b be 8/(-14) - (-4)/20*0. What is the nearest to o in p, b, 0.2? 0.2 Suppose 4*n - 3 - 5 = 0. Suppose n = 4*y - 3*y. Suppose 2*q = -4 + y. Which is the closest to q? (a) -1/2 (b) 0.1 (c) 2/13 a Let x = -71 + 73. Which is the nearest to x? (a) -3 (b) -2/5 (c) -2/7 c Let h(g) = -g**2 - 11*g - 19. Let u be h(-8). Which is the nearest to 0.1? (a) -4 (b) u (c) 0.5 c Let h = 277 + -275. Let z = 3.4 - 3. Which is the closest to 0? (a) h (b) z (c) -0.1 c Let h = 71.5 + -71. What is the nearest to -1 in h, -2/9, 3? -2/9 Let y be 3/((-1)/(-2) - 2). What is the closest to -1/4 in 1, -0.4, y? -0.4 Let b = -186 - -186. Let d be ((-1)/2)/((-9)/(-6)). What is the closest to d in -2, b, -0.3? -0.3 Suppose k + 1 - 4 = 0. Which is the nearest to 2/5? (a) k (b) 4 (c) -2/9 c Let p = 28 - 27.5. What is the closest to 0 in 3, p, 4? p Let l = -0.4 + 0.21. Let z = 0.1 + l. Let p = z - -0.09. Which is the closest to p? (a) -4 (b) 0.2 (c) 0 c Let i = -6.4 - -6. Let b = -331 - -327. What is the nearest to 1/2 in b, i, -2? i Let s = -163/212 - -1/53. Let a be 0 + (6/15)/2. Let b = 2/75 - 239/525. What is the nearest to 1/2 in b, a, s? a Let i = -1.2 + -1.8. Which is the closest to 0? (a) i (b) -5 (c) 1/3 c Let g = -0.034 - 3.966. What is the closest to -0.4 in 3, g, 2? 2 Let r = 1 - 1.1. Which is the nearest to r? (a) 5 (b) -1 (c) 1/3 c Let k = -4 + 4. Let h(j) = -j**3 - 5*j**2 + 7*j + 3. Let a be h(-6). What is the closest to k in -0.3, a, 2? -0.3 Let t = -135 - -134.9. Let p = 6 + -11. Which is the nearest to t? (a) -1/6 (b) p (c) 0.3 a Let j = -104 + 104. Let n = -2 - -4. Which is the nearest to -2? (a) n (b) j (c) -3/2 c Let h = 0.8 + -1.3. Which is the nearest to -0.1? (a) h (b) 2/7 (c) -2/5 c Let j(t) = t**3 + 4*t**2 + 4*t + 1. Let g be j(-3). Let z be (g + -1 + 2)*1. Which is the closest to z? (a) -0.4 (b) -0.5 (c) 5 b Let n = -0.7 - -0.3. Let o = 0.02 - 2.62. Let b = 3 + o. What is the nearest to 0.1 in n, 5, b? b Let d = 7 + -8. What is the nearest to d in 9, 1, 0.3? 0.3 Let i = -0.3 + 0.1. Which is the closest to i? (a) -4/7 (b) 4 (c) 2/5 a Let m = 1/11 - -7/44. Let p = 14 + -13.1. Let b = p - 0.7. What is the nearest to 0.2 in 5, m, b? b Let v = -0.7 - -0.3. Let l = 0.4 + v. Let i = 0 - l. What is the nearest to i in -1/4, 0.2, 0? 0 Let z = -104.1 - -104. Let x be (3/(-4))/(1/(-4)). What is the closest to -1 in z, 5, x? z Let v = -1 + 0. Let j = v + 1.1. Let d = -87.6 - -88. Which is the closest to -1/4? (a) d (b) j (c) 4/7 b Let p = 8 - 7. What is the closest to 1/3 in 0.1, -2, p? 0.1 Let t = 9 + -8.88. Let h = 0.18 + t. Which is the closest to -0.1? (a) -1/3 (b) h (c) -5 a Let u = -40 + 45. Let n be 6/(-4)*2/6. What is the closest to -2 in 1/4, u, n? n Let o = 0.3 - -0.7. Suppose -5*x + 9*x = 8. What is the closest to x in o, -3, 0.2? o Let h = -1.3 + 1.3. Let j = 0.5 - 0.1. What is the closest to 2/5 in h, j, -4? j Let w = -0.23 + -0.07. Let a be ((-12)/40)/(9/(-6)). What is the nearest to w in a, -1, 1? a Suppose 5*v = -2*d + d - 11, 0 = -d - 2*v - 11. Let g = d - -12. What is the closest to g in 4, 1/6, 2/7? 2/7 Let o = 24 + -23.9. What is the nearest to 0.3 in 2/9, -2/19, o? 2/9 Let h = -1.9 + 1.5. Let k = -1.4 - h. Which is the closest to k? (a) 3/5 (b) -5 (c) 2 a Suppose -2*n = 4*p - 0*n + 14, 2*p + 4*n = -16. Let g be (-38)/16
{ "pile_set_name": "DM Mathematics" }
2/(-3). Let t = -905 - -1301. Suppose -9*m - t = -12*m. Calculate the greatest common factor of w and m. 12 Let x be 1 + (-1)/(-3)*3. Suppose -2*m - x + 22 = 0. What is the greatest common divisor of m and 5? 5 Suppose -5*f = -8 - 17. Suppose f*z = z. Suppose -3*n + 51 = -z*n + 3*d, 0 = d + 3. What is the highest common factor of 30 and n? 10 Suppose -4*d + 6*d - 26 = 0. Let v(k) = k**2 - 3*k - 5. Let g be v(6). What is the highest common divisor of d and g? 13 Let u be (2/5)/(3/15). Suppose u = m - 18. Let t(z) = -z**3 - 4*z**2 + 2*z. Let h be t(-6). Calculate the highest common divisor of h and m. 20 Let o = 58 - 0. Calculate the greatest common divisor of o and 87. 29 Let n be 0 + -3 - (-5 - 2). Let y be 10/25*(n + 1). What is the highest common factor of 10 and y? 2 Let v = 136 - 56. Let a be -3 - -26*2/4. What is the greatest common divisor of a and v? 10 Let s be (-6)/((-6)/(-2)) - -6. Let m be (-192)/(-18) - s/6. Calculate the highest common divisor of 50 and m. 10 Let l be 401*1/7 + (-2)/7. Calculate the highest common factor of l and 38. 19 Suppose 3*i + 0*i = 3. Let c = -4 + 8. Calculate the greatest common factor of c and i. 1 Suppose -4*i - 2*w = -104, 2*i - 5*w - 27 - 25 = 0. Calculate the greatest common factor of i and 13. 13 Let b(v) = v**3 + v**2 - 4. Let f be b(0). Let o be (-114)/(-27) - f/(-18). Suppose o*s - 38 = 2*s. Calculate the highest common factor of 76 and s. 19 Let o(w) = -8*w - 1. Let t be o(-2). What is the highest common factor of t and 135? 15 Suppose 0 = 14*c - 20*c + 174. What is the highest common factor of c and 319? 29 Let f(z) = 3*z**2 + z - 2. Let h be f(1). Suppose h*b - 4*q - 30 = 130, -3*b = 2*q - 208. What is the greatest common factor of 18 and b? 18 Let z(w) = 8*w - 2. Let o be z(8). Suppose o = 4*y + 4*c - 22, -c - 63 = -3*y. Let f = 1 + 6. Calculate the greatest common divisor of y and f. 7 Let h be (3 - (-228)/2) + 0. What is the highest common divisor of h and 13? 13 Suppose -5*a + 40 = 2*n, -2*a + 5*n + 18 + 27 = 0. Let y be (-8 + 18)*16/a. Calculate the highest common factor of y and 2. 2 Suppose -z - 4 = -3. Let y be 3 + (0 + z)*-14. Let h = 35 - y. Calculate the highest common divisor of 6 and h. 6 Let h(p) = 16*p**2 + 2*p + 2. Let u be h(-1). Suppose 171 = n + 5*v, -v = -0*n + n - 175. Calculate the greatest common factor of n and u. 16 Let a = -3 - -8. Suppose o + 14 = a*b, 3*o - 4 = -16. What is the greatest common factor of b and 4? 2 Let k = -8 - -12. Suppose 0 = -4*f - 0*f - 5*v + 60, 15 = f - k*v. Let r = 384 + -219. What is the greatest common factor of r and f? 15 Let y(n) = 7*n - 7. Let u be y(5). Calculate the highest common divisor of 308 and u. 28 Suppose -4*a = a - 20. Suppose -b + 16 = 3*b. What is the greatest common divisor of b and a? 4 Let q(w) = 40*w**3 - 2*w**2 + 4*w - 3. Let i be q(1). Calculate the greatest common factor of i and 195. 39 Suppose -2*l = -26 - 4. Let x be ((-2)/5)/((-1)/l). Calculate the greatest common divisor of x and 6. 6 Let i = 39 + -9. Let u be (36/8)/((-12)/(-16)). Calculate the highest common divisor of i and u. 6 Suppose 3*m = -m + 8. Calculate the greatest common divisor of 1 and m. 1 Let b = -3 + 3. Suppose -2*u = -3*v - 9 + 57, b = -2*u - 6. Calculate the highest common divisor of v and 2. 2 Let m = -54 - -119. Calculate the highest common factor of 52 and m. 13 Suppose 0 = -j, 2*x - 3*j = j - 82. Let r = 71 + x. What is the greatest common factor of 10 and r? 10 Let b(d) = d + 4. Let p be b(-2). Suppose -19 = -p*h - 3. Suppose -127 = -4*s - 0*s - l, 0 = 2*s - 3*l - 67. Calculate the highest common divisor of s and h. 8 Let t(b) = 6*b + 10. Let k be t(10). Let p be 11 - 1/(-2 - -3). Calculate the highest common factor of p and k. 10 Let h = -14 - -26. Suppose -2*l - l + h = 0. Suppose 2*z + 2 = -3*q - q, 5*q = -l*z + 5. What is the highest common divisor of z and 35? 5 Let b(r) = -r**3 + 15*r**2 + 3*r + 12. Let z be b(15). What is the highest common divisor of 19 and z? 19 Let i = -17 + 7. Let c be 4/i - 591/(-15). Calculate the greatest common factor of 26 and c. 13 Let f be 2/6 - ((-7546)/21)/11. Calculate the greatest common factor of 231 and f. 33 Let h be (5/(-2))/5*-112. Calculate the highest common factor of 8 and h. 8 Let p be (0 + -2 - -32)*3. Suppose 0*w = 3*w - 30. Calculate the greatest common factor of p and w. 10 Suppose 5*y - 2 = 8. Let g be y - 3*(-26)/3. Calculate the greatest common factor of g and 42. 14 Let l be (2 + -2 - 0)*-1. Suppose l = 2*a + 4*q + 26, 2*q = -a - q - 15. Let o = a - -21. Calculate the highest common divisor of o and 18. 6 Suppose 0 = 4*s - 5*z - 29, -2*s = 3*s + 2*z - 28. Let h = 32 - 23. What is the greatest common factor of s and h? 3 Let w(q) = q**3 - 6*q**2 + 8*q - 5. Let b be w(5). Calculate the greatest common divisor of b and 50. 10 Let b = -10 + 24. Calculate the greatest common factor of b and 56. 14 Suppose 3*w - 4 = w + i, w - i - 1 = 0. Let u = 39 - w. Calculate the greatest common factor of u and 12. 12 Let x = 5 + 0. Suppose -o - 2*r = -r - 10, 30 = 5*o - x*r. Calculate the highest common factor of o and 64. 8 Suppose 16*f - 84 = 13*f. Let k = -10 + 14. Calculate the highest common factor of k and f. 4 Suppose -3*d = 2*k - 754, -5*k - 4*d - 159 = -2058. Let u = k + -257. What is the greatest common factor of 18 and u? 18 Suppose 5*i = 6*i - 4. Calculate the greatest common factor of i and 12. 4 Let f = -91 - -124. What is the greatest common divisor of f and 165? 33 Suppose 0 = -k - 2. Let n be (-302)/(-3) - k/(-3). Let a(u) = -4*u - 4. Let b be a(-6). What is the greatest common factor of n and b? 20 Let r be ((-12)/8)/((-3)/(-248)). Let i be -3 + -2 + 2 - r. Calculate the greatest common factor of 11 and i. 11 Let l(t) = t**3 + 9*t**2 - t - 8. Let j be l(-9). Let c be (-2 - -2)/(-1 - j). Let x be 1*(c - (-16)/1). What is the greatest common factor of 8 and x? 8 Let w(i) = 2*i - 8. Let x be w(6). Suppose -12*l + 11*l + 2 = 0. Calculate the greatest common divisor of l and x. 2 Let j be -2 - (1 + -3 + -7). Let x = j + 15. Calculate the highest common factor of x and 11. 11 Let x be 16/6 + (-6)/9. Suppose 2*b + x*r = -0*r + 8, -3*b + 20 = -r. Let w(z) = 67*z - 1. Let c be w(1). Calculate the greatest common divisor of c and b. 6 Let h = 21 + -11. Suppose -2*f + 2*o + 2 = 0, -7 = 4*f + 3*o + h. Let g be 32/f*(-6)/3. Calculate the highest common divisor of g and 4. 4 Let n(d) = -d**3 - 2*d**2. Let i be n(-4). Let o(t) = -3*t**3 + t**2. Let c = -12 - -11. Let h be o(c). What is the greatest common factor of h and i? 4 Let f(s) = 3*s - 3. Let a be f(4). Let l be (-2)/a - (-58)/18. Calculate the highest common factor of l and 1. 1 Suppose -2*y = 2*y - 32. Calculate the highest common factor of y and 88. 8 Suppose 0 = q - 2*q + 54. Suppose 5*z - 3 - 2 = 0. Suppose -2*v + 8 = 0, -v - 7 = -2*w + z. Calculate the highest common divisor of q and w. 6 Suppose 2*o - o + 4*b = -16, -4*b - 28 = -2*o. Let m(j) = -j**3 + 5*j**2 - j + 7. Let t = 12 - 7. Let c be m(t). Calculate the highest common factor of c and o. 2 Suppose 28 = -5*j - 0*j + 2*k, -11 = j + 5*k. Let q = j - -13. Calculate the greatest common divisor of 35 and q. 7 Suppose 1 + 39 = 5*j. What is the highest common factor of 16 and j? 8 Let b(x) = 3*x**2 - 2*x + 3. Let r be b(-3). Suppose -3*h = 2*u - r, -2*h + 2 = -6. Calculate the greatest common divisor of u and 108. 12 Suppose -c - 3*f = -5*f - 11, 0 = 4*f. Calculate the highest common factor of c and 77. 11 Let i be -5 - -1 - 12/(-2). What is the highest common factor of i and 5? 1 Let r(z) = -z**3 - 5*z**2 - 6*z - 1. Let x be r(-4). Suppose x*p = 2*p + 225. What is the highest common divisor of 15 and p? 15 Suppose -4*q + 3 = -53. Calculate the highest common factor of q and 7. 7 Let j(c) = 2*c**3 - 3*c**2 - 2*c - 3. Let x be j(3). Calculate the greatest common divisor of x and 27. 9 Let z be (-4)/(-14) - 402/(-14). Suppose -4*k + 3*k + z = 0. Suppose -k = -g + 125. What is the greatest common factor of 14 and g? 14 Let f be ((-18)/24)/((-1)/16). Suppose 0 = 4*v - 0*v - f. Suppose -r + 4 = 3*w, 0 = -v*r - w + 18 - 6. Calculate the highest common divisor of 32 and r. 4 Let l = 22 + -10. Suppose -36 - l = -3*w. What is the highest common factor of 2 and w? 2 Let w = -14 - -21. Let
{ "pile_set_name": "DM Mathematics" }
79403 rounded to the nearest integer? 2 What is -3941.46814 rounded to 0 dps? -3941 What is -612665.803 rounded to the nearest one thousand? -613000 Round -0.01090946389 to 4 decimal places. -0.0109 Round -0.0048355869 to six decimal places. -0.004836 Round -92654509.6 to the nearest one hundred thousand. -92700000 What is 0.61288369 rounded to 2 decimal places? 0.61 Round 0.0000108985583 to 6 dps. 0.000011 Round 0.00639345272 to 6 decimal places. 0.006393 What is -49055327.84 rounded to the nearest ten thousand? -49060000 Round 0.02482430312 to 3 dps. 0.025 What is 4437386.2 rounded to the nearest ten thousand? 4440000 Round 315924.11444 to the nearest 1000. 316000 Round 1912360.11 to the nearest 1000. 1912000 Round 86066.57014 to the nearest 10. 86070 What is -0.090266114 rounded to 5 decimal places? -0.09027 Round 4230.4459 to the nearest 10. 4230 What is 1488779.38 rounded to the nearest one hundred? 1488800 Round 42177310880 to the nearest 1000000. 42177000000 What is -50041385.2 rounded to the nearest ten thousand? -50040000 Round -20.8887518 to two dps. -20.89 Round -5627.737 to the nearest one hundred. -5600 Round -0.00191756207 to six dps. -0.001918 What is 16100.1245 rounded to 0 decimal places? 16100 What is 0.123366997 rounded to two dps? 0.12 What is -1436.6286 rounded to the nearest ten? -1440 What is -328220.48 rounded to the nearest 1000? -328000 What is 0.0001750819375 rounded to five decimal places? 0.00018 Round 19310236.46 to the nearest 1000000. 19000000 Round 950.155233 to the nearest 10. 950 Round -0.000000695541385 to seven dps. -0.0000007 Round -2350.10345 to the nearest 100. -2400 Round -1.77805134 to three decimal places. -1.778 Round -485.6873595 to 1 decimal place. -485.7 What is -0.000030042474 rounded to 5 dps? -0.00003 Round 1485.78129 to the nearest ten. 1490 What is -0.00000521999149 rounded to 7 decimal places? -0.0000052 Round 0.45237658 to four dps. 0.4524 What is -734.8469717 rounded to the nearest ten? -730 What is -7868.963 rounded to the nearest one thousand? -8000 Round 0.291131662 to two dps. 0.29 Round -13741692.53 to the nearest one million. -14000000 What is 0.00117621027 rounded to six dps? 0.001176 What is 570548.0966 rounded to the nearest 10000? 570000 Round 32529530 to the nearest one million. 33000000 What is 2233.521105 rounded to the nearest integer? 2234 Round -44028653.8 to the nearest one million. -44000000 Round 2469570.995 to the nearest one hundred. 2469600 What is 10.1818513 rounded to 3 dps? 10.182 Round 0.00152784155 to 6 dps. 0.001528 Round 0.0000382919479 to six dps. 0.000038 Round 0.0000559865121 to five dps. 0.00006 What is 0.0096733318 rounded to five decimal places? 0.00967 Round 3193311.08 to the nearest 10000. 3190000 Round 25.5747157 to two dps. 25.57 Round 8477246.18 to the nearest ten thousand. 8480000 What is -58019.092 rounded to the nearest one hundred? -58000 Round -0.2039349425 to five dps. -0.20393 What is -0.0170272222 rounded to 5 dps? -0.01703 What is -0.0075194975 rounded to two dps? -0.01 Round -60156422380 to the nearest one million. -60156000000 Round 0.148036128 to four dps. 0.148 What is -4118.7011 rounded to the nearest one hundred? -4100 Round 0.0035732262 to six dps. 0.003573 Round -181.52661 to the nearest 10. -180 What is -4273973.3 rounded to the nearest 100000? -4300000 What is 27579.9493 rounded to the nearest ten? 27580 What is 0.00278332702 rounded to three decimal places? 0.003 What is -93696778.6 rounded to the nearest 10000? -93700000 What is 1.3157924 rounded to zero dps? 1 What is -0.00250216434 rounded to three dps? -0.003 Round -232418180 to the nearest 100000. -232400000 What is -54078.8848 rounded to the nearest 100? -54100 What is -101829.43 rounded to the nearest 10000? -100000 Round 28645646.7 to the nearest one hundred thousand. 28600000 Round -74.5153421 to the nearest integer. -75 What is 1105341.041 rounded to the nearest one hundred thousand? 1100000 Round -73485.544 to the nearest ten. -73490 What is 3083.2319 rounded to the nearest ten? 3080 Round -0.926010137 to 4 decimal places. -0.926 Round 0.0010516390606 to six decimal places. 0.001052 What is 607478.8915 rounded to the nearest one hundred thousand? 600000 What is -6360.0958 rounded to the nearest one thousand? -6000 Round 62.2572744 to 1 dp. 62.3 What is 0.00697653225 rounded to 5 decimal places? 0.00698 What is -560614 rounded to the nearest 1000000? -1000000 Round 21.0679141 to 1 decimal place. 21.1 What is -3837493.489 rounded to the nearest one hundred? -3837500 Round -296258.56 to the nearest 1000. -296000 What is 0.15623725 rounded to three decimal places? 0.156 Round -0.05842046699 to two decimal places. -0.06 What is 0.00000091229484 rounded to 7 dps? 0.0000009 Round 3055917.4184 to the nearest ten. 3055920 What is -55993176.5 rounded to the nearest one hundred thousand? -56000000 What is 0.00000654018345 rounded to six dps? 0.000007 Round 0.0011940343524 to 7 decimal places. 0.001194 What is 29522480 rounded to the nearest 1000000? 30000000 Round 27339.77377 to the nearest one hundred. 27300 What is 89596528.08 rounded to the nearest 100000? 89600000 What is -0.0127936446 rounded to four decimal places? -0.0128 Round -3216338.53 to the nearest one hundred thousand. -3200000 What is -0.029672385 rounded to 5 dps? -0.02967 What is -15385.013 rounded to the nearest 100? -15400 What is -920711200 rounded to the nearest 1000000? -921000000 Round -0.0000008290215 to 7 decimal places. -0.0000008 Round -0.332831328 to 4 decimal places. -0.3328 Round -1515390.76 to the nearest one thousand. -1515000 What is 2654.6263 rounded to 1 dp? 2654.6 What is 0.00001139209621 rounded to 6 dps? 0.000011 What is -0.00323935696 rounded to three dps? -0.003 What is 0.087165503 rounded to 5 decimal places? 0.08717 Round -266524.844 to the nearest 1000. -267000 Round 0.0108428559 to 3 decimal places. 0.011 Round 25029.31079 to the nearest 1000. 25000 What is -0.0298318783 rounded to 3 dps? -0.03 What is 0.00441754092 rounded to five decimal places? 0.00442 What is -0.0001666764 rounded to four dps? -0.0002 What is -73234408780 rounded to the nearest 1000000? -73234000000 Round -671034.5 to the nearest one hundred. -671000 Round -0.0000001492701648 to 7 decimal places. -0.0000001 Round -0.0285272067 to three dps. -0.029 What is 0.2713427 rounded to four dps? 0.2713 Round -62092.8638 to the nearest one hundred. -62100 Round 0.0176574562 to four dps. 0.0177 Round 1947032091.1 to the nearest 1000000. 1947000000 What is -0.0000145454456 rounded to seven decimal places? -0.0000145 Round -0.52082116 to three decimal places. -0.521 Round 145568610 to the nearest 1000000. 146000000 What is 0.057114715 rounded to two decimal places? 0.06 What is -2.9663157 rounded to the nearest integer? -3 Round 493098.6262 to the nearest ten thousand. 490000 What is -344278370.5 rounded to the nearest one million? -344000000 What is 0.00363295442 rounded to 5 decimal places? 0.00363 Round -0.000000692689027 to 7 dps. -0.0000007 What is -1456006.2 rounded to the nearest one thousand? -1456000 What is 291.458864 rounded to the nearest integer? 291 Round -145147.2785 to the nearest 100. -145100 What is -0.00811814011 rounded to 4 decimal places? -0.0081 What is 38539542500 rounded to the nearest 1000000? 38540000000 Round 11104.4679 to the nearest ten. 11100 What is -0.0070743301 rounded to five decimal places? -0.00707 What is 0.031214397155 rounded to 6 dps? 0.031214 Round 7153618.77 to the nearest ten thousand. 7150000 Round -0.00000172428893 to seven decimal places. -0.0000017 Round 14.412736789 to 0 decimal places. 14 Round 0.8745082591 to five dps. 0.87451 What is 318054.662 rounded to the nearest one thousand? 318000 Round -43.7767409 to the nearest ten. -40 What is -2.338047701 rounded to four dps? -2.338 Round -0.0000016834225 to six dps. -0.000002 What is 4159396.55 rounded to the nearest ten thousand? 4160000 Round 1.1292792264 to three decimal places. 1.129 Round -5768314.8 to the nearest 100000. -5800000 What is 426648.8895 rounded to the nearest 100000? 400000 Round 0.019117254 to three decimal places. 0.019 What is -196.065455 rounded to 0 decimal places? -196 What is 454.4213855 rounded to the n
{ "pile_set_name": "DM Mathematics" }
21 Let n = -64 + 80. Suppose 3 + 6 = h. Let y = -6 + h. Calculate the remainder when n is divided by y. 1 Suppose -3*m - 3*c + 858 = 0, -4*m - 44 + 1206 = -5*c. Let b = 136 - m. Let d = -123 - b. Calculate the remainder when d is divided by 10. 9 Let y(g) = 10*g**2 - 3*g + 3. Suppose -2*c = -u - 209, 3*c + 66*u - 64*u - 296 = 0. Calculate the remainder when c is divided by y(2). 28 What is the remainder when (75/2)/((-62)/(-1364)) is divided by 409? 7 What is the remainder when 3886 is divided by 139*(7/(-7 + 0) - -2)? 133 Let i(p) = -p**2 - 6*p. Let q be i(-5). Let r(t) = t**2 - t - 3. What is the remainder when r(q) is divided by (-39)/(819/(-357)) - (-21)/(-3)? 7 Let h(g) = g**3 + g**2 + 6. Let k be h(0). Calculate the remainder when (((-12)/(-5))/(-12))/((-1)/485) is divided by k/(-27) - (-598)/18. 31 Suppose -4*w = 2*z - 3*z - 16, 0 = 2*w - 8. Suppose -5*j + 91 = 4*y, z = -2*j + 3*j - 4*y - 23. Calculate the remainder when 73 is divided by j. 16 Suppose -4*v + 2*r = -564, -40*v + 45*v = 4*r + 708. Calculate the remainder when 2936 is divided by v. 136 Suppose -5*q - 4*a + 145 = -7*a, -q + 1 = 5*a. Calculate the remainder when 1842 is divided by q. 22 Let a be 2/(-14) - (7 - (-1550)/(-70)). Suppose 0 = -10*d + a*d - 2295. What is the remainder when d is divided by 42? 39 Let q = -275 + 257. What is the remainder when (24 + q)*(-40)/(-6) is divided by 6? 4 Suppose 33*g - 8*g - 504 - 1971 = 0. Calculate the remainder when 817 is divided by g. 25 Let j be ((-188)/(-141))/(4/(-306)). Calculate the remainder when 49 - (-2)/2 - (-306)/j is divided by 16. 15 Let j(t) = -t + 14. Let d = 4 - 4. Suppose 0 = 4*q + 24, -33*a = 3*q + 237 - 3420. Calculate the remainder when a is divided by j(d). 13 Suppose -k + 1647 - 457 = -5*p, -p = k + 232. Let o = -117 - p. Suppose -6*z + z - x = -294, x = -2*z + o. Calculate the remainder when 172 is divided by z. 56 Suppose 0 = 70*h - 16*h + 6*h - 5760. Calculate the remainder when h is divided by 33. 30 Let j = 604 - 590. Let r(f) = -8*f**2 + 114*f - 2. Calculate the remainder when 258 is divided by r(j). 24 Suppose 4*y = 5*a - 62, -5*a = -8*a - 5*y + 89. What is the remainder when 1633 is divided by a? 13 Let y = -232 + 390. What is the remainder when 1412 is divided by y? 148 Let r = 3739 - 1627. Let k = r + -2087. What is the remainder when 4/14 + 2432/14 is divided by k? 24 Suppose -2*w = 4*k - 0*k + 32, -3*k = 5*w + 10. What is the remainder when 53 is divided by (-2)/k*1 - 270/(-25)? 9 Suppose -44*p = -10*p - 1938. Suppose -p*t + 280 = -29*t. Let z = -19 - -35. Calculate the remainder when z is divided by t. 6 Suppose -438*i - 35509 = -119876 - 42653. What is the remainder when 1179 is divided by i? 19 Let l(u) = u**2 + 7*u - 17. Let i be l(-11). Suppose -25*j = -22*j - i. Calculate the remainder when 206 is divided by (-9870)/(-189) + (-2)/j. 50 Suppose -2*v - 4*b = -8*b - 18, 5*b = v. Let w = -3487 - -3490. What is the remainder when v is divided by w? 0 Suppose l + 4*c = 403 - 41, c = 3*l - 1060. What is the remainder when l is divided by 12? 6 Calculate the remainder when 247 is divided by ((-258)/172)/((6/124)/(-1)). 30 Let n(b) = b**2 + 2*b - 7. Let p be n(-5). Suppose 3*d = 0, 3*l - 2*d + 4 = -p. What is the remainder when (-5 - -83)*(-6)/l is divided by 24? 21 Calculate the remainder when (-12)/(-8)*2 - 6 - -712 is divided by 89. 86 Suppose -5*p - 360 = -5*h, -6*h + 150 = -4*h + 4*p. Let w = h + -67. Let j(r) = 5*r**2 - 25*r + 8. What is the remainder when j(w) is divided by 22? 16 Suppose 16*j - 82*j + 1176 = -738. What is the remainder when 1765 is divided by j? 25 Suppose -2*u + 12 + 20 = 0. Calculate the remainder when (u/6)/(3/45) is divided by (12 + 2717/(-228))*168. 12 Let c be (-3155)/6 + (1 - 14/12). Let y = c - -537. Calculate the remainder when y is divided by 1. 0 Calculate the remainder when (12/(-8))/((-120)/19280) is divided by 33. 10 Suppose -5*s + 4*k = -685, -107*k + 103*k + 512 = 4*s. Calculate the remainder when 397 is divided by s. 131 Let f(g) = 231*g + 663. Calculate the remainder when f(-2) is divided by 117. 84 Suppose c = -3*p + 1, -2 + 0 = 2*p. Suppose 2*s = c*y - s + 11, -2*y - 2*s = -12. Calculate the remainder when (4/16)/(4/16) is divided by y. 0 Suppose 0 = g + 14*x - 12*x - 105, g - 84 = 5*x. Let c = 107 + -86. What is the remainder when g is divided by c? 15 Suppose 3*h = 3*b - 2190, 4*b - 39*h + 42*h - 2948 = 0. What is the remainder when b is divided by 46? 44 Let j = -64 - -160. Let p be (-2 - -5)*j/9. Suppose -h + 117 = 4*o, -5*o + p = -2*h - 111. What is the remainder when o is divided by 11? 7 Let u(r) = -r**3 - 6*r**2 - 4*r. Let v be u(-6). Suppose -33 = 10*p - 33. Suppose p = 5*x - 6*x + v. Calculate the remainder when x is divided by 14. 10 Suppose 0 = 5*l - 15*o - 4405, -2*l + 15*o + 1786 = 13*o. Calculate the remainder when l is divided by 296. 11 Suppose -57*y - g + 318 = -52*y, -3*y + 180 = -3*g. Calculate the remainder when 314 is divided by y. 62 Let q = -108 + 113. Suppose 49 = 2*z - 3*c, -103 = -4*z + q*c - 4*c. What is the remainder when 124 is divided by z? 20 Let v = 12237 - 11299. What is the remainder when v is divided by 56? 42 Let m = -41 - -89. Let w = m - -98. What is the remainder when w is divided by 75? 71 Let q(g) = -2*g - 43. Let r be q(-23). Calculate the remainder when 13/((-1)/r*9/(-21)) is divided by 19. 15 Suppose -30 = -54*w + 59*w. Let o(g) = -16*g - 82. What is the remainder when 49 is divided by o(w)? 7 Suppose -y - 460 = -5*y. Suppose 102 + y = 7*t. Suppose z + 2*o = 18, 4*o = -3*z + t + 21. Calculate the remainder when z is divided by 9. 7 Let h(a) = -2*a**2 + 16*a + 5. Let q be h(9). Let n(g) = g**2 + 11*g - 18. What is the remainder when 656/22 - 0 - (-8)/44 is divided by n(q)? 6 Suppose -33*y - 44 = -44*y. Suppose y*d + 4*u = -u + 263, -u = -4*d + 293. Calculate the remainder when d is divided by 7. 2 Suppose -8*g + 7*g + 3*v + 17 = 0, -5*g + 199 = 4*v. What is the remainder when 141 is divided by g? 1 Let q = 183 + 500. Let m = q + -674. What is the remainder when 33 is divided by m? 6 Let s = -17851 - -18423. What is the remainder when 1153 is divided by s? 9 Let g(r) = r**3 - 4*r**2 + r - 1. Let i be g(4). Suppose -10*v - i*v = -676. What is the remainder when v is divided by 9? 7 Suppose 0 = 9*b - 42*b + 3762. Calculate the remainder when b is divided by 2*((-91)/14)/(-1). 10 Let t(v) = -v + 22. Let y be t(-4). Let o(x) = -4*x + y - 77 + 6. What is the remainder when 18 is divided by o(-13)? 4 Suppose 405*g - 507 = 366*g. What is the remainder when 4900 is divided by g? 12 Let p(t) = -t**2 + 2*t + 4. Let f be p(-4). Let a be (-1 + 2)/(2/f). What is the remainder when 24 is divided by (30/5)/((-6)/a)? 4 What is the remainder when 187 is divided by 4/(-24) - (-5445)/594? 7 Suppose 13356 = -12*a + 76*a - 49876. What is the remainder when a is divided by 48? 28 Let p(j) be the second derivative of -j**3/6 + 17*j**2 + 83*j. Calculate the remainder when p(-7) is divided by (44/10)/(2/10). 19 Let k = -1291 + 1300. What is the remainder when 93 is divided by k? 3 Let u = 5397 + -5289. Calculate the remainder when u is divided by 100. 8 Let a(g) = 3*g**2 - 2*g - 62. What is the remainder when a(-7) is divided by (-1)/(3*148/228 + -2)? 4 Let w = 1069 - 1045. Let n = 274 + 392. Calculate the remainder when n is divided by w. 18 Let i = -9 + 12. What is the remainder when 214/(i*4/6) is divided by 33 - -3*(3 - (4 + -2))? 35 Let g(i) = -2*i**3 + 12*i**2 + 5. Suppose 0 = -5*f + 2*f. Let z(t) = -t**3 - t**2 - 2*t + 3. Calculate the remainder when g(6) is divided by z(f). 2 Suppose -l + 1790 = 4*l - 4*v, -1426 = -4*l + 2*v. Suppose -318 = -12*n + l. What is the remainder when n is divided by 19? 18 Suppose -28531 = -38*h + 27458 + 21607. What is the remainder when h is divided by 93? 89 Let u(f) = 5*f + 128. Suppose -3*l = -6, -4*l = -3*y - 0*y + 313. Calculate the remainder when y is divided by u(-20). 23 Let j(t) = -42*t + 9. Let h be j(6). Let s = 262 + h. Calculate the remainder when 149 is divided by s. 16 Suppose -26 = 2*l - 38. Let q(c) = -c - 11. Let b be q(l). Let y = -9 - b. Calculate the remainder when 13 is divided by y. 5 Let k(n) = -n**3 + 9*n**2 + 6*n + 165. What is the remainder when 1497 is divided by k(10)? 1
{ "pile_set_name": "DM Mathematics" }
2}. 4/1001 Two letters picked without replacement from {n: 2, k: 4, o: 10}. Give prob of picking 1 k and 1 n. 1/15 Calculate prob of picking 2 z, 1 t, and 1 n when four letters picked without replacement from {t: 4, n: 10, z: 5}. 100/969 What is prob of picking 1 g and 3 w when four letters picked without replacement from {s: 5, m: 3, g: 1, w: 6}? 4/273 Four letters picked without replacement from gkllleksllelgll. Give prob of picking 1 g, 1 k, 1 l, and 1 e. 64/1365 Three letters picked without replacement from ewewqqqqeqwqqwqwwqw. What is prob of picking 1 w, 1 q, and 1 e? 63/323 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 7, y: 2, k: 4}. 14/39 Three letters picked without replacement from tujjnnjuujunjj. Give prob of picking 3 n. 1/364 Calculate prob of picking 1 z, 1 m, and 1 t when three letters picked without replacement from tqiizmmz. 1/14 Calculate prob of picking 1 l, 1 h, and 1 t when three letters picked without replacement from {t: 1, h: 1, l: 3}. 3/10 Three letters picked without replacement from qzzsqszzsszzzz. What is prob of picking 3 z? 2/13 Two letters picked without replacement from pkdyyoqo. Give prob of picking 1 o and 1 k. 1/14 Four letters picked without replacement from ototoooooooooozotooz. What is prob of picking 3 o and 1 z? 182/969 Two letters picked without replacement from ixxxxxixx. Give prob of picking 1 i and 1 x. 7/18 Three letters picked without replacement from {r: 3, w: 4, p: 5}. Give prob of picking 3 r. 1/220 Two letters picked without replacement from {j: 11, t: 7, v: 2}. Give prob of picking 2 j. 11/38 Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kkmukkkumnkmmnkunmhk. 7/57 What is prob of picking 2 c when two letters picked without replacement from cgqqqgcckc? 2/15 Four letters picked without replacement from uffuuuq. What is prob of picking 1 f and 3 u? 8/35 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from dohhhgfgfhoeeog. 4/35 What is prob of picking 1 p, 1 f, and 1 y when three letters picked without replacement from {d: 1, f: 2, y: 4, p: 1, h: 1}? 2/21 Two letters picked without replacement from oxj. Give prob of picking 1 o and 1 j. 1/3 Two letters picked without replacement from {c: 2, p: 1, r: 2, w: 1, q: 1, v: 1}. Give prob of picking 1 v and 1 p. 1/28 What is prob of picking 2 n and 1 z when three letters picked without replacement from {n: 5, k: 4, z: 8}? 2/17 Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {d: 4, j: 5, n: 10}. 50/171 Calculate prob of picking 2 g when two letters picked without replacement from yggyygggggyygggggg. 26/51 Calculate prob of picking 3 p when three letters picked without replacement from {p: 5}. 1 Three letters picked without replacement from {p: 3, t: 8, e: 2, x: 4}. Give prob of picking 1 p and 2 e. 3/680 Three letters picked without replacement from {k: 1, y: 2, r: 4, f: 2}. Give prob of picking 2 f and 1 k. 1/84 Four letters picked without replacement from jrzzwkkkrcz. Give prob of picking 2 r and 2 z. 1/110 Calculate prob of picking 2 l when two letters picked without replacement from ggllllglggllllllggl. 22/57 What is prob of picking 2 y when two letters picked without replacement from {y: 3, a: 1}? 1/2 Calculate prob of picking 1 t, 1 u, and 1 w when three letters picked without replacement from uijjoooiowwtuuwi. 9/560 Calculate prob of picking 1 o and 1 e when two letters picked without replacement from totblnotlllllnleelb. 4/171 Two letters picked without replacement from {l: 2, u: 1, a: 1}. What is prob of picking 2 l? 1/6 What is prob of picking 2 u when two letters picked without replacement from {e: 9, u: 8, t: 2}? 28/171 What is prob of picking 4 s when four letters picked without replacement from {t: 1, u: 3, s: 4}? 1/70 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {t: 3, v: 4, u: 2, g: 1, s: 2}. 1/33 Calculate prob of picking 1 w, 2 d, and 1 k when four letters picked without replacement from doodddkw. 3/35 What is prob of picking 1 n and 2 d when three letters picked without replacement from {a: 1, v: 2, n: 2, t: 4, d: 5, p: 1}? 4/91 Four letters picked without replacement from {z: 5, c: 7}. What is prob of picking 3 z and 1 c? 14/99 Three letters picked without replacement from bmbbmmbmbmbmbbbbmbb. Give prob of picking 1 m and 2 b. 154/323 Two letters picked without replacement from {w: 2, v: 2, c: 5, n: 8}. What is prob of picking 2 n? 7/34 Three letters picked without replacement from {o: 3, h: 7}. Give prob of picking 1 o and 2 h. 21/40 Two letters picked without replacement from yiycycccyyyyyycciy. What is prob of picking 2 c? 5/51 Calculate prob of picking 2 s, 1 a, and 1 m when four letters picked without replacement from skaakkmkmkkkmsak. 9/1820 What is prob of picking 2 b when two letters picked without replacement from {o: 2, x: 3, b: 5, e: 5}? 2/21 What is prob of picking 1 c, 1 i, and 1 f when three letters picked without replacement from fxbibxixxcbxxxhx? 1/280 What is prob of picking 3 h and 1 x when four letters picked without replacement from {h: 3, g: 6, x: 2, c: 1, r: 2}? 2/1001 Two letters picked without replacement from {f: 1, i: 2}. Give prob of picking 2 i. 1/3 Four letters picked without replacement from {c: 7, l: 6, f: 4}. Give prob of picking 1 l and 3 f. 6/595 Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 2, l: 10}. 10/33 What is prob of picking 4 v when four letters picked without replacement from vvvvv? 1 Two letters picked without replacement from {b: 6, o: 1, r: 4}. Give prob of picking 1 o and 1 b. 6/55 Two letters picked without replacement from ixivavojaiooja. What is prob of picking 2 v? 1/91 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 2, t: 4}. 8/15 Four letters picked without replacement from aeepafkv. Give prob of picking 1 f, 1 a, 1 p, and 1 v. 1/35 Three letters picked without replacement from hhhehhehhheee. Give prob of picking 1 h and 2 e. 40/143 What is prob of picking 2 v and 2 n when four letters picked without replacement from {n: 8, v: 11, j: 1}? 308/969 Calculate prob of picking 3 y and 1 k when four letters picked without replacement from eyykyeyykyyy. 112/495 Two letters picked without replacement from cccxxxxx. Give prob of picking 1 x and 1 c. 15/28 Two letters picked without replacement from {c: 1, v: 8, u: 2, p: 1, r: 4}. What is prob of picking 1 p and 1 v? 1/15 Three letters picked without replacement from {h: 10, i: 10}. What is prob of picking 3 i? 2/19 Three letters picked without replacement from kpaakkutkpkktt. What is prob of picking 2 k and 1 u? 15/364 Four letters picked without replacement from djfffyffjdjfyvyqfff. What is prob of picking 2 d, 1 v, and 1 q? 1/3876 Three letters picked without replacement from ckaaaokokddppp. What is prob of picking 2 a and 1 d? 3/182 Three letters picked without replacement from mjxnjrr. Give prob of picking 2 r and 1 j. 2/35 Two letters picked without replacement from {b: 3, u: 12}. What is prob of picking 1 b and 1 u? 12/35 Calculate prob of picking 2 g when two letters picked without replacement from ucggrgclrrcplu. 3/91 Two letters picked without replacement from {p: 3, t: 6, u: 1, y: 1, r: 1}. What is prob of picking 1 r and 1 p? 1/22 Three letters picked without replacement from odjjgjogjjwooojojo. What is prob of picking 1 d and 2 o? 7/272 Three letters picked without replacement from {d: 10, t: 4}. What is prob of picking 3 d? 30/91 Calculate prob of picking 2 m and 2 d when four letters picked without replacement from mmmdmdmm. 3/14 Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, m: 2, o: 3, u: 6, s: 1, n: 4}. 1/57 Four letters picked without replacement from vhlgvfglglgg. What is prob of picking 1 l, 1 v, 1 f, and 1 h? 2/165 Three letters picked without replacement from {g: 2, s: 2, v: 1, y: 2, b: 3, p: 2}. What is prob of picking 1 y and 2 b? 3/110 Three letters picked without replacement from {j: 5, g: 3, r: 2}. Give prob of picking 2 g and 1 r. 1/20 What is prob of picking 1 g and 1 i when two letters
{ "pile_set_name": "DM Mathematics" }
der. 1, q, l Let x = 4 - 1. Let f be 6/14*(-2)/(-3). Let i be 12/(-10) + (-4)/(-2). Put f, x, i in increasing order. f, i, x Let n = 0.1 - 5.1. Sort 1/8, n, 3. n, 1/8, 3 Let x = 2.96 - -0.04. Let o = x - 1. Sort 5, 2/7, o in ascending order. 2/7, o, 5 Suppose 3*w + 4*b + 9 + 18 = 0, w = 4*b + 7. Let t = 2 + w. Put 3, t, 4 in decreasing order. 4, 3, t Let l = 34/7 + -5. Let a = -0.08 - -0.18. Put a, -3, l in decreasing order. a, l, -3 Let j = -2 - -3. Let w = 2.4 + j. Let o = 0.4 - w. Put -2/7, -4, o in descending order. -2/7, o, -4 Let f = -3 - -5. Suppose -f*p - 1 = -5. Let l be ((-20)/24 - -1)*2. Put -2, l, p in decreasing order. p, l, -2 Let h be 0/(-2) - -5*(-3)/15. Let y = -1.8 + 2. Sort y, h, -2/11. h, -2/11, y Let d = 286 + -3720/13. Let k = 163 + -1139/7. Suppose -4 = -4*b + 12. Sort d, k, b in increasing order. d, k, b Let c be 1/(-2*(-3)/(-24)). Sort 4, -20, c. -20, c, 4 Let r = 52/77 + -6/7. Sort r, 1, 1/24. r, 1/24, 1 Let j = -0.05 - 0.25. Let s(l) = l**3 - 6*l**2 + 3. Let r be s(6). Suppose r*u = 6, 4*y - 16 = -2*u + 4*u. Sort j, 4, y. j, 4, y Let m = 1 + -3. Let q = -2.1 - m. Let v = -35.4 + 35. Sort q, v, -3 in descending order. q, v, -3 Let m = -10.8 + 10.6. Sort -0.27, 1/2, m. -0.27, m, 1/2 Let t = -3 - -19/7. Let d = 2 + -2. Let n = 1 - d. Sort 0.4, t, n. t, 0.4, n Let t = 166/3 + -54. Sort -2, t, 5, -0.5 in descending order. 5, t, -0.5, -2 Let u = 23 - 27. Put 5, -36, u in ascending order. -36, u, 5 Let o = -9 + 0. Let f = -7 - o. Let k be (-7)/5 - (-2)/5. Put f, 1, k in ascending order. k, 1, f Suppose 2*m + q - 9 = 0, 1 - 10 = -3*q. Let p = -4 - 3. Put m, -3, p in decreasing order. m, -3, p Suppose 24 = 2*x + 4*t + 2, -x - t = -7. Let v(g) = g - 2. Let w be v(x). Suppose -3*h - 2 = -17. Sort 4, h, w in decreasing order. h, 4, w Let r = -11 + 7. Suppose 10 + 2 = 4*h + 5*y, -h = 3*y - 3. Let u be (3 - 3)/(0 - 2). Sort r, h, u. r, u, h Suppose 0*r + 2*r = -6. Let q = 3 + -9. Let y be (-6)/(-1)*(-4)/q. Put r, -2, y in increasing order. r, -2, y Let j be 3/2*(-2)/3. Put 3, -2, j in ascending order. -2, j, 3 Let h(f) = -4*f**3 - f**2 - f + 1. Let t be h(1). Let l = 4 - 3. Sort -3, t, l in decreasing order. l, -3, t Suppose -6*o + 2*o = -16. Suppose -v + o = v. Let g be (0 - 0)/(4 - v). Put 3, g, -1/2 in descending order. 3, g, -1/2 Let u(n) = n**3 + 13*n**2 - 14*n - 4. Let q be u(-14). Put -2, q, -5, 1 in ascending order. -5, q, -2, 1 Suppose 0 = 5*h - 15. Let l = 2 + -6. Sort -2, l, h. l, -2, h Let n = 18 + -8. Let c be (n/(-8))/(1/4). Let x = -3.95 - 0.05. Sort 5, c, x in descending order. 5, x, c Let a = 91 - 93. Put 1, -4/5, a in ascending order. a, -4/5, 1 Let a = 1 + -1.2. Put 0.3, a, -1/2 in decreasing order. 0.3, a, -1/2 Let c = 104 - 102. Sort 0.2, c, 0, -0.5. -0.5, 0, 0.2, c Let w = 24 - 29. Put -2, 0, w in descending order. 0, -2, w Let z(s) = s + 1. Let v be z(4). Suppose -26 = 5*n + 2*x + 2*x, n + 22 = -v*x. Let c = 4 + -5. Sort n, -3, c in decreasing order. c, n, -3 Let x = -1 - 0. Let m be 10*((-3)/2 - x). Let a be (-2)/4 + m/(-10). Put a, -2, -1 in ascending order. -2, -1, a Suppose 0 = 3*a - 8 - 1. Let i = -35 + 32. Sort a, 0, i in increasing order. i, 0, a Suppose 0 = 2*o - 6*o. Put o, -0.5, -3 in increasing order. -3, -0.5, o Let x = 2/43 + 203/258. Put 3, x, 0.01 in increasing order. 0.01, x, 3 Let y = -0.024 - 4.976. Sort -4, 0.01, y in ascending order. y, -4, 0.01 Let f = 63 - 63.5. Put 0, 0.4, f, 1 in ascending order. f, 0, 0.4, 1 Let a = 7.86 - -0.14. Let f = 11 - a. Let w = -1 + 2. Sort w, f, 1/4. 1/4, w, f Let s be ((-4 - -4)/(4 - 3))/(-3). Put 12, s, 4 in decreasing order. 12, 4, s Let m = -12.3 - -3.3. Sort m, -0.3, -1/2. m, -1/2, -0.3 Let v be (-15)/(-10) - (-2)/4. Suppose -v*c + 2 = -3*c. Sort c, -1, 3 in descending order. 3, -1, c Let y = 11.71 - 12. Let j = 0.19 + y. Let p be -1 - (8/(-3) - -1). Put p, -1, j in increasing order. -1, j, p Suppose 2*q + 12 = -m, 2*m + 2*q + 7 + 9 = 0. Sort m, 1, -13 in decreasing order. 1, m, -13 Let a = -2.5 - -0.5. Let h = -2 - a. Let l = 3.12 - 0.12. Put h, l, 2 in descending order. l, 2, h Let n = -41 + 36. Let v(s) = -2*s**2 + 3*s + 3. Let h be v(3). Let j(g) = g**2 + 5*g - 8. Let b be j(h). Put n, 3, b in decreasing order. 3, b, n Suppose 6 = -5*y + 21. Suppose -2 = 4*j - 6*j, -2*g = -4*j - 6. Sort g, y, 1 in ascending order. 1, y, g Let m(j) = j**3 - j**2. Let g be m(1). Put -4, g, 18 in decreasing order. 18, g, -4 Suppose -1 = -4*l - k - 18, 0 = -2*l - 5*k - 13. Let n be (-3 - l)*(-2 + -1). Let o be 1*4 - (-252)/(-54). Put n, -0.5, o in decreasing order. -0.5, o, n Suppose -3*h - 18 + 0 = 0. Let b be h/27 - 26/(-36). Put b, -2/9, -2 in ascending order. -2, -2/9, b Let k = 6.1 - 6. Let m = -11 - -9. Put 4, k, m in increasing order. m, k, 4 Let m = 0.3 + -11.3. Let r = 4 + m. Let q = r - -8. Sort q, 0.4, -3/4 in ascending order. -3/4, 0.4, q Suppose 1 - 13 = -4*d. Let j be 2 + 0 + (d - 6). Sort j, -2, 2 in decreasing order. 2, j, -2 Suppose -5*p = 15, -4*p = -j + 4*j + 9. Let m(d) = -d**3 - 2*d**2 + 2*d - 1. Let t be m(j). Put -5, 3, t in descending order. 3, t, -5 Let c be (-23)/(-7) + -1 - 2. Put -3, 0, c in descending order. c, 0, -3 Let p = 68 + -65. Put p, 0.5, 1, -0.2 in descending order. p, 1, 0.5, -0.2 Suppose -12*o - 14 - 22 = 0. Let i be (-3)/(-2)*4/3. Let a = 1 - 1. Put o, i, a in decreasing order. i, a, o Suppose 9 = j - 8. Let a = j - 19. Put a, -4, -3 in increasing order. -4, -3, a Let i = -3 + 5. Suppose g + 1 = 3*q, -3*q + 0*g = -5*g - 5. Sort i, q, 4 in decreasing order. 4, i, q Let l = -1 - -2. Let o = 1.4 - l. Let r = 3.86 + 0.14. Sort 2/3, o, r in increasing order. o, 2/3, r Suppose 3*v = 15, 4*r = r + v - 20. Sort 1, r, 2 in descending order. 2, 1, r Let k be -2 - -7 - (-5 + 5). Suppose k*g - r - 25 = 0, 3*g = r + 9 + 8. Put -5, g, -7 in increasing order. -7, -5, g Let m = 0.5 + -0.3. Let x = -0.2 - m. Let h = -231/4 - -58. Put x, 5, h in descending order. 5, h, x Let g = -23.18 + 23. Let d = 0.02 - g. Let b = -7.7 - -8. Put d, b, 0.1 in ascending order. 0.1, d, b Let l = 10 - 5. Sort l, -3, 0 in increasing order. -3, 0, l Suppose 3*n - 10 = -c - 0*c, -5*n = -c - 6. Let h be (2/4 - 1) + 1. Sort -1/5, c, h in ascending order. -1/5, h, c Let p be (20/(-12))/(2 - 9). Let j = 2/21 + p. Let h be (-2)/(-5)*(-10)/7. Sort j, -1/5, h in ascending order. h, -1/5, j Let o be 2 - (-27)/(-6) - (-3)/2. Sort o, -0.5, -4, 5 in increasing order. -4, o, -0.5, 5 Let l = 5 + -3. Let g be 2/(-4)*(-1 + -1). Suppose 0 = -f - 2*w + 12, -w = 2*f - 1 - 11. Put g, l, f in decreasing order. f, l, g Let x(z) = 4*z - 72. Let r be x(18). Put 1, r, 36 in decreasing order. 36, 1, r Let t be (-205)/(-20) + 2/(-8). Sort 4, -5, t in increasing order. -5, 4, t Suppose -4*b - 5*k - 11 = 0, -5*b - 2*k + 0 = 1. Put -5, 0, 3, b in decreasing order. 3, b, 0, -5 Suppose -3 - 2 = -5*c. Sort 2, c, 0. 0, c, 2 Suppose 2*c - 4*f = -f + 17, -3*c + 2*f = -13. Put 0, c, -3 in descending order. c, 0, -3 Let m = 8.4 + -1.4. Let v = m + -6.6. Let f = -4.5 + 0.5. Sort v, f, 2/7. f, 2/7, v Let g(b) = 3*b**3 - 3*b**2 + 1. Let k be g(-1). Sort k, 3, -1 in increasing order. k, -1, 3 Let a(g) = -g**3 + 7*g**2 - 6*g - 5. Let l be a(6). Sort -1, l, 2 in decreasing order. 2, -1, l Let v = 32 + -32.3. Let g = -1 - -4. Sort -2/17, v, g in increasing order. v, -2/17, g Let v = 11 + -8. Suppose 0*a - v*a = -6. Let s be -1*(a + -3)*-1. Put s, -4, -2 in decreasing order. s, -2, -4 Suppose 10 = 4*j + 6. Suppose 0 = -0*b - 3*b - 15. Let i(y) = y**3 + 4*y**2 + 2. Let v be i(-4). Sort j, b, v. b, j, v Let v be (-2)/(-21)*(-14)/(-6). Let x = 0 + 1. Sort 0.4, v, x in descending order. x, 0.4, v Suppose i = -2, 6 = -0*u + 3*u + 3*i. Suppose 23 = -3*a - 4*j, -2*a + 4*j = u - 2. Sort 3/8, a, 2 in increasing order. a, 3/8, 2 Let l(o) = o - 5. Let q(h) = h - 4. Let a(v) = -5*l(v) + 6*q(v). Let s be a(-1). Suppose -5*k + 12 = -2*k. Sort k, s, -1. -1, s, k Let c = -35 + 314/9. Put c, 0.3, -2 in ascending order. -2, c, 0.3 Let g = -3.899 + -0.101. Sort 0.4, g, 3 in ascending order. g, 0.4, 3 Suppose 5*k - 3*k - 8 = 0. Suppose -3 = -5*a + 7. Suppose -5*y = 3*t - 4 + 3, 0 = -a*y + 4. Put -2, t, k in decreasing order. k, -2, t Suppose -5*t - 16 = -3*q, -4*q = -3*t - 12 - 2. Sort -1, q, -3. -3, -1, q Let q(g) = -g**2 +
{ "pile_set_name": "DM Mathematics" }
*p - 13768. Determine f(4). 168 Let c(f) = 9*f**2 + 404*f - 260. Determine c(-53). 3609 Let k(y) = -53788*y + 53783. Determine k(1). -5 Let r(v) = -561*v + 668. What is r(-2)? 1790 Let y(m) = 11504*m**2 - 149552*m - 4. What is y(13)? -4 Let s(r) = 13*r**3 + 219*r**2 - 94*r - 648. Give s(-17). 372 Let n(x) = x**3 - 139*x**2 - 551*x - 6. Calculate n(-4). -90 Let y(f) = -1207*f - 204724. What is y(-170)? 466 Let c(t) = -2*t**2 - 345*t + 37757. Determine c(76). -15 Let u(v) = v**2 - 72*v + 736. What is u(54)? -236 Let y(q) = -10*q**2 - 212269*q - 1273259. What is y(-6)? -5 Let l(h) = 175*h**2 + 6671*h - 53. Calculate l(-38). -851 Let m(y) = -11272*y + 496017. Give m(44). 49 Let v(q) = 5599*q**2 + 33598*q - 16. Calculate v(-6). -40 Let a(o) = 5483*o - 15132. Calculate a(3). 1317 Let q(c) = -3*c**3 + 674*c**2 - 426*c - 4849. Calculate q(224). 79 Let t(b) = 2*b**2 - 70*b - 3290. Give t(62). 58 Let z(t) = -1888*t + 20731. What is z(11)? -37 Let j(f) = -2*f**2 - 100*f + 16400. Give j(-119). -22 Let g(l) = -l**3 + 43*l**2 - 23*l - 690. Calculate g(42). 108 Let z(a) = 3*a**3 + 98*a**2 - 98*a - 1. What is z(1)? 2 Let w(z) = 23814*z - 47653. Calculate w(2). -25 Let g(w) = w**3 - 68*w**2 - 142*w - 5029. Give g(71). 12 Let d(f) = -50467*f - 656065. Determine d(-13). 6 Let r(h) = 157*h**2 - 14599*h - 64. Determine r(93). 122 Let f(i) = 2*i**3 + 417*i**2 - 1436*i - 80387. What is f(-211)? 4 Let m(r) = -3*r**3 + 9*r**2 + 31*r + 44. Determine m(-4). 256 Let f(l) = 121*l - 250. Give f(5). 355 Let n(t) = 17*t**2 - 1387*t - 2783. What is n(-2)? 59 Let h(u) = -3270*u - 2256301. Calculate h(-690). -1 Let t(r) = -r**3 - 32*r**2 - 25*r + 1048. What is t(-7)? -2 Let y(j) = 22078*j - 441565. Determine y(20). -5 Let z(a) = a**3 + 216*a**2 + 1223*a - 258. Calculate z(-6). -36 Let n(u) = -3*u**2 + 384*u + 816. What is n(133)? -1179 Let j(a) = 2*a**3 + 1392*a**2 - 1414*a - 13948. Calculate j(-697). -8 Let r(u) = u**3 - 3*u**2 + 45*u - 830. Determine r(13). 1445 Let m(c) = -628*c - 11948. What is m(-19)? -16 Let g(w) = -53*w**3 - 532*w**2 - 28*w - 42. What is g(-10)? 38 Let q(b) = -307096*b - 12283829. Determine q(-40). 11 Let j(f) = -f**2 + 2442*f - 12177. What is j(5)? 8 Let a(f) = -2*f**2 + 11013*f - 88166. What is a(8)? -190 Let a(f) = 110878*f - 2439458. Determine a(22). -142 Let z(k) = -6921*k - 20572. What is z(-3)? 191 Let b(a) = 271*a - 54183. Give b(199). -254 Let z(d) = -3*d**3 + 61*d**2 - 83*d + 11. Give z(19). -122 Let c(m) = -3022*m + 80787. Determine c(27). -807 Let d(i) = -464*i**2 + 260856*i - 49464. Determine d(562). -8 Let u(h) = -2509*h + 37634. Give u(15). -1 Let x(a) = a**2 - 3643*a + 21859. Determine x(6). 37 Let z(x) = 44300*x - 40667395. Calculate z(918). 5 Let l(y) = -8*y**3 + 1128*y**2 - 7*y + 1122. What is l(141)? 135 Let t(r) = -64*r**2 - 35*r + 46. Give t(1). -53 Let b(d) = 17*d**2 - 1425*d - 486. Calculate b(84). -234 Let v(b) = b**3 - b**2 + 8141*b + 34. Give v(0). 34 Let h(i) = -334*i + 47367. Determine h(142). -61 Let q(n) = 716*n - 145263. Calculate q(204). 801 Let c(z) = -27*z**3 - 305*z**2 + 608*z + 9. Determine c(2). -211 Let r(s) = s**3 + 205*s**2 + 580*s - 5243. Calculate r(-202). 9 Let k(h) = 2*h**2 - 4014*h - 24130. Determine k(-6). 26 Let i(n) = 2*n**2 - 7116*n + 1763430. Give i(268). -10 Let i(y) = -y**3 - 13*y**2 - 1209*y - 7203. Calculate i(-6). -201 Let d(g) = 393*g + 13506. Calculate d(-34). 144 Let f(m) = 305*m - 4089. Determine f(12). -429 Let n(g) = 1219*g - 8569. Determine n(4). -3693 Let i(j) = -j**2 - 1768*j + 61272. What is i(34)? 4 Let j(m) = 166269*m - 2327767. Give j(14). -1 Let b(n) = -2018*n + 40515. Determine b(20). 155 Let y(z) = -4*z**2 - 1522*z - 1513. Calculate y(-1). 5 Let z(w) = 53*w**3 - w**2 - 32. Give z(0). -32 Let g(w) = -32*w**2 - 1467*w - 2802. Give g(-2). 4 Let g(i) = -3*i**2 + 40*i + 756. What is g(-23)? -1751 Let b(t) = -89*t**2 + 32811*t + 65626. What is b(-2)? -352 Let x(b) = -45*b**3 + 5490*b**2 - 25*b + 3115. Calculate x(122). 65 Let k(f) = -77128*f**2 + 1002668*f - 34. What is k(13)? 18 Let k(g) = 2366*g + 74455. Determine k(-31). 1109 Let m(x) = 7*x**3 - 9*x**2 - 4*x + 60. Determine m(-3). -198 Let h(k) = 914*k + 20115. Give h(-22). 7 Let h(p) = 193*p - 106. Give h(11). 2017 Let v(b) = -1732*b + 98722. What is v(57)? -2 Let w(y) = -y**2 + 3602*y - 7208. Determine w(2). -8 Let l(t) = -t**3 - 80*t**2 + 13*t + 13089. Give l(-78). -93 Let n(l) = 5*l**2 - 13090*l + 91391. Give n(7). 6 Let j(v) = 74*v**2 - 154*v + 451. Give j(3). 655 Let k(y) = 2*y**2 - 1911*y + 30041. Give k(16). -23 Let l(h) = 18*h**2 + 1294*h + 902. Give l(-71). -234 Let u(t) = -47*t**3 - 38*t**2 - 3*t - 6. Determine u(-1). 6 Let v(u) = -14*u**2 + 548*u - 5127. Give v(9). -1329 Let h(k) = -k**2 - 790*k + 2136169. Calculate h(-1909). -2 Let j(h) = 6*h**2 - 2036*h + 8032. Determine j(4). -16 Let r(y) = -3*y**3 - 460*y**2 - 7425*y + 2. Calculate r(-135). 2 Let y(k) = -7*k**3 + 5*k**2 - 23*k - 117. What is y(-5)? 998 Let b(r) = 13362*r**2 + 106902*r + 44. Determine b(-8). -4 Let o(d) = d**3 + 24*d**2 + 64*d - 269. Give o(-6). -5 Let p(h) = -2030*h - 17195. Determine p(-9). 1075 Let j(c) = 27*c**2 - 756*c + 40. Give j(28). 40 Let y(s) = 12*s**2 + 12824*s - 77383. Calculate y(6). -7 Let s(m) = -2173*m - 12469. Determine s(-7). 2742 Let l(y) = -6*y**2 + 3518*y + 95530. What is l(-26)? 6 Let i(a) = -a**3 - 96*a**2 + 608*a - 190. Calculate i(-102). 218 Let w(f) = 2088*f + 25548. Give w(-13). -1596 Let t(q) = -5*q**3 + 185*q**2 - 213*q + 1194. Determine t(36). 6 Let l(b) = -257*b + 586. Give l(2). 72 Let p(s) = 2*s**3 - 9*s**2 - 58*s + 196. Give p(7). 35 Let m(t) = 8*t**2 + 110441*t - 110439. Give m(1). 10 Let f(a) = -14*a**2 - 2113*a + 62. Determine f(-151). -89 Let r(k) = 11*k**2 + 280*k + 112. What is r(4)? 1408 Let u(b) = b**2 + 340*b + 8954. Determine u(-311). -65 Let s(q) = -55*q + 7291. Calculate s(93). 2176 Let i(c) = -c**3 - 13*c**2 - 131315*c - 656370. What is i(-5)? 5 Let q(y) = -y**3 + 386*y**2 + 391*y - 298770. Calculate q(385). -10 Let q(d) = -194*d + 1240. Calculate q(5). 270 Let z(m) = 3*m**3 - 3*m**2 - 249*m - 68. Calculate z(10). 142 Let k(j) = 56*j**3 + 463*j - 1386. What is k(3)? 1515 Let q(m) = 2318*m - 543. What is q(1)? 1775 Let i(d) = -444*d - 92502. What is i(-210)? 738 Let w(c) = c**2 - 727*c + 5643. Determine w(8). -109 Let d(b) = -b**2 - 158*b - 4255. Give d(-124). -39 Let h(f) = -2*f**3 - 70*f**2 + 5*f + 238. Determine h(-35). 63 Let h(l) = 5*l**2 + 177*l + 897. What is h(-37)? 1193 Let v(w) = w**3 + 6*w**2 - 361*w - 2056. Calculate v(-6). 110 Let r(p) = 189*p**2 - 2828*p - 114. What is r(15)? -9 Let t(y) = -75*y - 12247. Calculate t(-159). -322 Let g(h) = -h**3 - 17*h**2 + 70*h + 1225. Give g(9). -251 Let h(n) = -782*n**2 + 186*n - 15. Calculate h(1). -611 Let c(i) = 3*i**3 + 801*i**2 + 41*i + 10949. What is c(-267)? 2 Let w(x) = -2838*x - 278138. Give w(-98). -14 Let h(n) = -2*n**3 - 401*n**2 - 454*n - 50826. Calculate h(-200). -26 Let k(p) = p**2 + 3014*p + 81069. What is k(-27)? 420 Let n(r) = r**3 + 815*r**2 + 62053*r + 2198. Give n(-730). 8 Let d(t) = -12672*t - 240967. Determine d(-19). -199 Let z(p) = 199*p**2 - 1780*p + 223. Give z(9). 322 Let w(g) = -2*g**3 + 49*g**2 + 423*g - 277. Calculate w(-7). -151 Let i(f) = 1921*f - 127541. Calculate i(67). 1166 Let h(r) = r**2 - 48*r - 335. Give h(36). -767 Let u(g) = -11068*g - 77473. Give u(-7). 3 Let h(a) = -12585*a - 100390. Determine h(-8). 290 Let k(g) = 1589*g - 5130. Determine k(3). -363 Let c(o) = -2*o**3 + 72*o**2 + 151*o - 2919. What is c(37)? -70 Let m(w) = 2929*w**2 + 111. Give m(0). 111 Let p(u) = 10*u**2 - 2537*u - 10016. Give p(-4). 292 Let u(c) = 66*c**2 + 138*c + 95. Calculate u(-6). 1643 Let y(d) = -35*d**3 - 1503*d**2 + 67*d - 761. Determine y(-43). 56 Let x(w) = -4087*w - 1565312. What is x(-383)? 9 Let y(z) = -z**3 + 56*z**2 - 308*z + 273. Calculate y(50). -127 Let t(j) = -j**2 - 129482*j + 388435. Give t(3). -20 Let s(q) = -2*q**3 + 175*q**2 - 3480*q + 185. Give s(57). 14 Let c(n) = -8*n**2 + 126*n - 1792. Determine c(14). -1596 Let x(t) = 3*t**2 - 159*t + 780. What is x(5)? 60 Let n(i) = -i**3 + 7*i**2 + 63*i - 526. Determine n(16). -1822 Let r(c) = 3*c**2 + 172*c + 877. Give r(-50). -223 Let b(f) = -6075*f**2 - 24441*f + 11. Calcula
{ "pile_set_name": "DM Mathematics" }
-1.7. Sort 5, s, -4. -4, s, 5 Suppose 3 = f - 2. Let p = -8 - -4. Put p, 4, f in decreasing order. f, 4, p Suppose -19 = 5*v - v - 3*i, 0 = 4*v - i + 17. Let b be 1 + 1 + -7 + 2. Sort v, b, 5 in ascending order. v, b, 5 Let l = -117 - -821/7. Let c = 19 + -15. Sort 1/3, l, c in ascending order. l, 1/3, c Let z = 2 - 2. Suppose z = 6*t - 3*t - 24. Suppose t*p - 4 = 4*p. Sort -4, 3, p in ascending order. -4, p, 3 Let r(p) = 2*p**3 + 2*p**2 - 4*p. Let j be r(-3). Let v be (-2)/(j/(-33)) - -2. Sort 4, 0.2, v in descending order. 4, 0.2, v Suppose -2*j - 8 = 2. Let r(i) be the second derivative of -i**5/20 + 2*i**4/3 - i**3 - 3*i**2/2 - 2*i. Let n be r(7). Sort j, -4, n in increasing order. j, -4, n Let a = 0.2 - -0.1. Let j(r) = -4*r - 6. Let z be j(-2). Sort 5, a, z in decreasing order. 5, z, a Suppose 2 = -2*o - 4*q, 0 = -3*o + q + 12 + 6. Suppose 5 = 4*i - 7. Sort o, -5, i in decreasing order. o, i, -5 Let h be ((-5)/(-3))/((-2)/6). Suppose -4*r = 3*m - 32, 3*r + 5*m = 13 + 22. Sort h, r, 3 in ascending order. h, 3, r Let n be (-2)/12 - (-13)/(-39). Sort 1/2, -5, n in decreasing order. 1/2, n, -5 Suppose -4*y = -3*r - 0 - 1, y + 5*r + 17 = 0. Let w be 1*-2 - 1*(7 - 8). Put y, 1, w in ascending order. y, w, 1 Let i = 46 + -46.4. Put 1/2, i, 4 in descending order. 4, 1/2, i Let p = 4.5 + -3.7. Sort 0.4, 1/4, p in ascending order. 1/4, 0.4, p Let h be 0 + ((-261)/6 - 1). Let l = -43 - h. Sort -1, 5, l in decreasing order. 5, l, -1 Let a = 89/9 + -10. Let p be (-8)/(-28) - 60/63. Sort p, 4, a in descending order. 4, a, p Let p = 284 + -282. Let o = -7 + 11. Let l = 29 - 21. Sort o, l, p in descending order. l, o, p Let n(p) = -p**3 + 11*p**2 - p + 11. Let s be n(11). Let t be (12/30)/((-7)/(-1930)). Let w = t + -110. Sort 4, s, w in descending order. 4, w, s Let c = 6/31 + 13/93. Put -4, 1/4, c in descending order. c, 1/4, -4 Let d = 26 - 28. Sort -0.1, d, 5, 0.3 in descending order. 5, 0.3, -0.1, d Let j be 0 + -3 + -2 + 1. Suppose 0*a - 5*a + 15 = 0. Sort a, -3, j in decreasing order. a, -3, j Let b = 1.1 + -8.1. Let w = 8.5 + b. Let c = 0.5 - w. Sort -1/3, c, 4 in descending order. 4, -1/3, c Suppose -5*l - 8 = -c + 11, 0 = 4*c - 3*l - 8. Sort 3, 2, c in decreasing order. 3, 2, c Let w = 4 + -2. Let q = w - 1.5. Let g = 1 - q. Sort g, 0.4, -1 in increasing order. -1, 0.4, g Let x = -3 + 3.1. Let q = -48.4 - -48. Sort q, x, 4. q, x, 4 Let x = -0.475 + -0.025. Let f = 0.1 - 0.3. Sort f, -4, x. -4, x, f Suppose 16*n - 16 + 0 = 0. Let i(k) = -k**3 + 3*k**2 - 3*k - 1. Let f be i(3). Sort f, n, 0 in decreasing order. n, 0, f Suppose 15*g = 20*g + 20. Sort 0, -3, g in decreasing order. 0, -3, g Let z(x) = 5*x + 12. Let l be z(9). Let k = 38 - l. Put 5, k, 3 in ascending order. k, 3, 5 Suppose 0 = 2*l - 0*l. Let q be (-2 - -3) + -1 - l. Suppose -4*h + 3 = -7*h + j, -5*j + 15 = q. Sort 1, 4, h in ascending order. h, 1, 4 Let r = 5 + -5. Sort -5, -3, r in decreasing order. r, -3, -5 Let r be 560/576 + 4/(-18). Let n = -16 + 50/3. Sort r, n, -2 in increasing order. -2, n, r Let q be 313/(-585) + (-20)/130. Let f be ((-4)/54)/((-2)/24). Let d = f + q. Sort d, -1/2, 4/9. -1/2, d, 4/9 Suppose -6*m = 2*m + 32. Sort 9, m, 1. m, 1, 9 Let u be (-9)/(-6) - (-39)/(-6). Put 2, -2, u in descending order. 2, -2, u Let z be 6/(-27) + 94/18. Let r = -2 - -2. Suppose r = -z*n - 17 - 8. Sort -4, n, 5 in decreasing order. 5, -4, n Let s(i) = i + 15. Let d be s(-18). Put -5, d, -31 in descending order. d, -5, -31 Let r = -0.96 - -0.66. Sort r, 0.4, 4, 5. r, 0.4, 4, 5 Let q(c) = -c**2 - c + 1. Let h be q(-2). Suppose 1 + 14 = 3*a. Sort a, 3, h in ascending order. h, 3, a Suppose 2*g + p = -0*p + 4, -3*p = 0. Suppose -2*z + 8 = -y + 2*z, 4 = 4*y + g*z. Suppose h + y = 5. Sort h, 3, 4 in increasing order. 3, 4, h Let s(t) = 7 + 3*t**2 + 0*t**2 - 3*t - 4*t**2. Let k be s(-6). Let n be (-72)/(-154) - (-2)/k. Sort -3, -1, n in decreasing order. n, -1, -3 Suppose 0*a = -2*a + 2*c + 8, -3*a = c - 12. Sort -5, a, -3 in descending order. a, -3, -5 Let c = -11 - -6. Suppose 27 = -4*t + 3*h, 5*t - 2*t - h + 19 = 0. Sort -2, t, c in decreasing order. -2, c, t Let i = -32.5 - -31. Let m = i - -3.5. Let z be ((-3)/8 + 0)*-2. Sort 4, z, m in decreasing order. 4, m, z Let w be (1 + 36)/((-6)/3 + 1). Sort -4, 4, w in increasing order. w, -4, 4 Let f(r) = -r**3 - 2*r**2 + 4*r + 3. Let z be f(-2). Let i(j) = j. Let c be i(z). Let h be (-1)/(-1) + 0 + c. Sort -1, -2, h in increasing order. h, -2, -1 Let f = -5.5 + 2.2. Let h = f + 3. Sort h, 2, 3. h, 2, 3 Let m(j) = 7*j**3 + 2*j**2 + 2*j + 1. Let u be m(-1). Suppose 0 = x - 2*x + 5. Put -3, x, u in descending order. x, -3, u Let c(j) = -j + 1. Let n be c(-3). Let u(m) = 0*m + 1 + 0*m + n*m**2. Let s be u(1). Put 3, -3, s in descending order. s, 3, -3 Let g = -5 + 7. Suppose -10*t + 4*t = 24. Sort g, -5, t in descending order. g, t, -5 Let o = -141 + 142. Put -3, 7/2, o, -0.5 in decreasing order. 7/2, o, -0.5, -3 Let f = -10 - -10. Let q = 61/46 + 4/23. Put f, q, -0.2 in descending order. q, f, -0.2 Let k = -5 - -3. Let c(i) = i**3 + 10*i**2 + 8*i - 13. Let a be c(-9). Sort -3, k, a in descending order. k, -3, a Let g be (-3)/7 - 11/7. Suppose 0 = 5*z + 2*m - 6, -4 = -4*z + 5*z + 3*m. Put g, 1, z in descending order. z, 1, g Suppose 0 = -4*d + 28 + 28. Let w be (-4)/d - 16/(-7). Let b be (30/20)/((-9)/30). Put 3, w, b in ascending order. b, w, 3 Let b be (-26)/7 - (-6)/(-21). Suppose -a + 3*c - c = -9, -20 = 4*c. Let j be (2 - 1)/((-1)/(-2)). Sort a, j, b in decreasing order. j, a, b Let o = 1.4 + -1. Put o, -3, -1/12 in decreasing order. o, -1/12, -3 Let a = 3/22 + 15/11. Sort 3/17, a, -3/2. -3/2, 3/17, a Let p(o) = -o**2 + 10*o - 4. Let l be p(7). Let n = 25 - l. Put -1, 1, n in descending order. n, 1, -1 Let q = 12.5 + -8.5. Sort q, -3/5, 3, 2/5 in decreasing order. q, 3, 2/5, -3/5 Let k = -114 - -114.53. Let b = 0.03 - k. Put -3, 0.1, b in descending order. 0.1, b, -3 Let r = 3 - -1. Let s be -5 - (-16 + -14)*2/6. Put r, s, 3 in ascending order. 3, r, s Let j = 1.2 - 1.5. Sort j, 3/5, 0 in decreasing order. 3/5, 0, j Let v = 0.12 - -0.28. Sort v, 0.1, 1. 0.1, v, 1 Let m be 1/(-2) + (-15)/(-10). Let j = -3 + 6. Suppose -j = 4*r + m. Sort -3/5, -2/13, r in increasing order. r, -3/5, -2/13 Let o = 25 - 30. Sort -2/23, 1/2, o, -2/11. o, -2/11, -2/23, 1/2 Let x = 26.6 - 27. Put 3/4, x, -5/4 in ascending order. -5/4, x, 3/4 Let q = 55 + -50. Put 2, -2, q in decreasing order. q, 2, -2 Let s be (-4)/14 + (-9)/(-7). Let c(u) = -u + 5. Let n be c(5). Let g(a) = 36*a - 31. Let b be g(1). Put b, s, n in descending order. b, s, n Let k be 1/3 + -1 + (-56)/(-63). Sort 1, 0, 0.1, k in decreasing order. 1, k, 0.1, 0 Suppose 0 = -3*r - r + 32. Suppose 2 = 2*a - r. Let t be (-2)/(-4)*(1 - a). Sort -2/5, t, -3 in increasing order. -3, t, -2/5 Let j be (-3264)/(-819) - -1 - 0. Let r = j + -5/39. Let v = 129/28 - r. Put -2, v, 2/11 in increasing order. -2, v, 2/11 Let c(r) = r**3 - 2*r**2 - r - 2. Let v be c(3). Let m be (12/(-8) + v)*2. Sort 2, m, 0 in decreasing order. m, 2, 0 Let z(f) = f**2 + f - 6. Let m be z(-4). Sort 4, m, -2 in decreasing order. m, 4, -2 Suppose 2*q + 0 = -8, 4*s + 3*q + 16 = 0. Let h(x) = x**2 + x + 1. Let j be h(s). Let u = 9 - 6. Sort j, u, 5 in descending order. 5, u, j Let b(x) = -x - 6. Let t be b(-6). Suppose t = -5*a + 34 - 14. Put -2, a, 10 in decreasing order. 10, a, -2 Let b = -0.24 + -0.76. Sort -5, b, -0.5 in descending order. -0.5, b, -5 Let w = 30 - 32. Put -3, w, -4 in ascending order. -4, -3, w Let u = 3.7 + -0.7. Let c = 1.97 - -0.03. Let q = u + c. Sort -0.3, q, -5. -5, -0.3, q Let a = 12 + -18. Let r(i) = -i. Let v be r(4). Sort 0.5, v, a in decreasing order. 0.5, v, a Let j = -1 - -10/9. Suppose g + 4*g - 3*r = 10, 0 = 4*r + 20. Let y = -2 + 1.8. Sort g, y, j in increasing order. g, y, j Let s(a) = a**2 + 7*a - 11. Let j be s(-8). Let n be (-3)/j + 3 - 0. Sort -10, n, 0.3 in decreasing order. n, 0.3, -10 Suppose p - 3 = c, 29 = 2*c + 4*p + p. Suppose c*j + 4 + 0 = 0. Let b be -1 - j/(-2 - -3). Sort 3, b, -4 in decreasing order. 3, b, -4 Let n = -27 + 24. Let u = -0.7 + 1. Sort u, n, -0.2 in ascending order. n, -0.2, u Let l = 81 - 83. Sort 34, 0, l in decreasing order. 34, 0, l Let y = -9 + 11. Sort -1, 0, y, -5
{ "pile_set_name": "DM Mathematics" }
be (-4 + 5)/((-1)/8). Let t = -12 - p. Let q = 41/315 - 2/105. Which is the nearest to 1? (a) t (b) q (c) 1 c Let t be (-7)/((-14)/8) + -3. Let q be 1*t*2/(-7). Let l be (3/4)/((-30)/(-16)). Which is the nearest to -0.1? (a) q (b) l (c) -2 a Let y be -1 - (0 - (-3)/9). Let o = 14 + -14.5. Which is the nearest to 0.1? (a) y (b) 0 (c) o b Let d = -4 + 0. What is the closest to -0.2 in -1, 0.4, d? 0.4 Let k = 4 + 2. Let j = k - 11/2. Let y be (2/4)/((-4)/32). Which is the closest to 2/9? (a) -3/4 (b) y (c) j c Let c(t) = -2 + 1 + t**2 - t + t**3 + 0*t. Let l be c(-1). Let r be (2/(-32))/(1/2). What is the closest to l in r, -2, -3? r Let f be ((-6)/(-18))/((-1)/(-3)). Let n be -4*f*(-9)/(-12). Which is the nearest to 2/5? (a) -1 (b) 4/5 (c) n b Let a = -3.3 - -3.3. What is the closest to 2/3 in 5, a, 2? a Suppose -35 = 11*c - 4*c. Let w = -0.1 - 0.9. What is the closest to w in -6/5, c, -2/3? -6/5 Suppose -3*t + 12 = -2*b, -3*b = -5*t - 6*b + 20. Let n = -4228501/76 - -55639. Let a = n - 3/38. What is the closest to -0.1 in 1/8, a, t? 1/8 Let y = -17 - -17.4. Which is the closest to -0.1? (a) y (b) -4 (c) -0.4 c Let m = 21 - 12. Which is the closest to -0.1? (a) 1/4 (b) m (c) -5 a Let a be 6/2 - 4/(24/14). What is the nearest to a in -1/2, -0.1, -2/5? -0.1 Let x = -0.55 + 0.6. Let w = 8.5 + -8. What is the nearest to x in -2, 0.1, w? 0.1 Let r = 0.009 + 0.061. What is the closest to -1 in 1, 4, r? r Let c = 3 - 2.5. Let t be 1 - (7 + 6/(-2)). What is the nearest to 0 in -0.2, c, t? -0.2 Let d be (38/6 - 1) + 0. Let r = d - 67/12. Suppose 0*w - w = -2*u - 3, 3*w - 4*u = 7. Which is the nearest to w? (a) -2 (b) 0.3 (c) r b Let t = 69 - 73. What is the closest to 2 in 1/4, t, 0.6? 0.6 Let y = -0.1 + 0.4. Suppose r - 3*p + 4 = 0, -5*r - 2*p = 16 + 4. What is the closest to y in -0.1, -0.3, r? -0.1 Let t = 21/40 - 1/8. Suppose 7*d + 15 = 2*d. Which is the closest to 0? (a) d (b) 5 (c) t c Let m = -2 + 2. Let o = -2.98 + -0.02. Let n = -7 - o. What is the nearest to -0.1 in -0.4, n, m? m Let z be 0 - 3*2/14. Let q = -24 - -19. What is the nearest to -1 in 0.1, z, q? z Let s = -0.17 - -0.2. Let o = 2.98 + -0.01. Let i = s + o. What is the nearest to 0.1 in 0.5, i, 0.1? 0.1 Let p = 0.7 - 0.6. What is the closest to 1/2 in p, 0.2, -4/3? 0.2 Let w be 2/(2/(0 + -1)). Let m = 0 - 0.5. Let h be (27/(-126))/(1/((-14)/12)). Which is the nearest to -0.2? (a) h (b) w (c) m c Let o = -26 - -26.17. Let u = -0.07 + o. Let x = -0.04 - 4.96. What is the closest to u in x, -4, -0.3? -0.3 Suppose -5*r = -4*g + 33, 4*r - 5*g + 2 = -28. Let o = 6 - 5.93. Which is the closest to o? (a) 5 (b) 2 (c) r b Let o = 14 + -8. Let g = -5.97 + o. Let s = g + 0.07. What is the closest to s in 0.1, -2/11, 1/4? 0.1 Let f = -1.18 + 6.18. Let i = -0.1 - -1.1. Let d = -1 + i. Which is the nearest to d? (a) -1 (b) f (c) 0.4 c Let j = -38 + 37.7. What is the closest to -1 in -2/9, j, 2/17? j Let l = -809/18318 + -1/426. What is the closest to -0.1 in l, 2/3, 0.1? l Let y be 56/66 - (128/24)/8. Let g = 2 + -3. Let z = 3 + -2. What is the closest to z in -0.5, g, y? y Let c = 4 - 3. Let r = 2199/7 + -317. Let i = -24/7 - r. What is the nearest to -1 in i, c, 3? i Let p = -7 - -6.9. Suppose -4*x + 17 = -x - 5*n, 3*x - 11 = -n. Let r(m) = -m**2 + 5*m - 1. Let g be r(x). Which is the nearest to -1? (a) 1 (b) p (c) g b Let g = 1.8 + -1. Let n = 0.8 - g. What is the nearest to -0.1 in 3, 2, n? n Let m = 51 + -51.3. What is the closest to -2 in 1/9, -4, m? m Suppose -3*l = -4*n - 2*l, 4*l - 15 = n. Let h be 4/(-2) + 1 + n. Suppose h*j = 3*j - 3. Which is the closest to 1? (a) -0.2 (b) -2 (c) j c Let t be (-6)/(-15) - 15/100. Which is the closest to t? (a) -4 (b) -3 (c) -0.4 c Let c = 0.06 - 0.36. Let t = c - -0.4. What is the nearest to -0.04 in t, -0.2, -1? t Let t = -7.04 - 0.26. Let i = 7 + t. Let u = 1 + 3. What is the closest to 0 in -5, u, i? i Let h = 17 - 16. Which is the closest to 0? (a) 0 (b) h (c) -0.3 a Let g = 0.4 + -3.2. Let z = 3 + g. Which is the closest to 0? (a) -3 (b) -1/10 (c) z b Let h = -2 + 1. Let r = h + 4. Let t = 913 - 909. Which is the closest to 0? (a) 2/3 (b) t (c) r a Let o = -7 + 10. Let w be (2 - 1)/(7/(14/(-15))). Which is the closest to -0.1? (a) o (b) w (c) 3/8 b Let f = -17 - -18.3. Let i = 0.3 - f. Let p(t) = t**2 - t - 2. Let w be p(2). Which is the nearest to w? (a) -0.5 (b) 0 (c) i b Let a = -6 - -6.5. Let u = 0.2 - a. Let f = -4.87 - 0.13. What is the nearest to -0.1 in 1/3, u, f? u Let v be (-72)/7 - -10 - (-1)/28. Let w = -3.1 - -3. Which is the nearest to w? (a) -4 (b) v (c) 0.2 b Let s = 3/526 - 1187/23670. Let k = -7/45 + s. Which is the closest to 2/3? (a) -0.4 (b) k (c) -0.5 b Let n = -5.3 - -5. Let x = 0.08 + -0.11. Let s = x + 4.03. What is the closest to 1 in s, 1, n? 1 Suppose -4*v + j = -9*v + 115, -5*v = -2*j - 130. Let f be 1 - 2/(v/15). What is the closest to f in 0.1, 0.2, -5? 0.1 Let a = -8 + 6. What is the nearest to -1 in 0.2, a, -2/9? -2/9 Suppose -4*v = -v - 0*v. Let j = -6 + 4. Which is the closest to v? (a) 2/15 (b) -0.4 (c) j a Let y = -0.7 - -1. Let r be (2/18*3)/1. Let t = -0.8 - 0.2. Which is the nearest to 1/3? (a) t (b) y (c) r c Let u be (1/(-14))/((-2)/4). Let d = 3/89 - 199/623. What is the closest to d in 0.4, 2/17, u? 2/17 Let w = 14.6 + -15. What is the nearest to 0 in -1, w, 4? w Let u = 3 - -1. Let t = 3.9 - u. What is the closest to t in -2, 2, -4? -2 Suppose -3*m + 2*z = -0*z + 55, 20 = -m + z. Let g be (4/m)/((-2)/3). Let j be 1/(-3) + (-24)/(-45). Which is the closest to g? (a) 0 (b) -1/4 (c) j c Let f(w) = -w**2 + 6*w + 6. Let k be 5 + 0 + 3 + -1. Let i be f(k). Let t be (8/(-20))/(i/(-10)). What is the closest to -1 in 4, -1, t? -1 Let h = 3.9 + -8.9. Let d be (-2)/4 + (-22)/(-20). Which is the closest to 2? (a) 1/2 (b) d (c) h b Let c = 7.8 + -2.8. Let k = 5 - c. What is the nearest to k in 5, -1/6, 4? -1/6 Let i be 1 - -3 - (-627)/(-152). What is the closest to 1 in i, 0.28, -1? 0.28 Let i = 2/87 + 160/609. Let d be (-1)/(-2) - (-10)/4. Suppose 4 = -2*s - 3*l + 2*l, -4*s + 3*l = -12. What is the closest to s in d, -4, i? i Let u = 0.039 - -0.061. What is the nearest to u in -8, 1/4, -5? 1/4 Let p = 27 + -22. What is the nearest to -1 in -3, 0, p? 0 Let l be 2/(-8) - (-137)/516. Let h = l + 248/645. Let j be ((-2)/8)/((-21)/56). What is the closest to j in h, 1/6, -0.2? h Let u = -0.9 + 1.1. Let r = -0.1 + u. Which is the closest to r? (a) 5 (b) -1/2 (c) 2/13 c Let u = -2.4 - -2. Let d = 50 - 35. Let x = d - 14. What is the closest to x in u, -1/5, 3/8? 3/8 Let v = -608/2655 + 2/295. Suppose -3 = 5*o + 2. Which is the closest to v? (a) o (b) -2 (c) -4 a Let p be 2/4 + (-77)/(-14). Let i be (-24)/(-85) + p/(-15). Let t be 1/(-2)*2/(-3). What is the closest to 0.1 in i, -0.5, t? i Let h(b) = b**2 - 6*b - 6. Let k be h(7). Let x = 41/21 - 5/3. Let n = 5.6 - 0.6. What is the closest to 1 in k, n, x? k Let x be (-18)/81 + (65/(-18))/(-5). Let p be 0/(-1 + 3 - 3). Let n = 37 - 331/9. What is the nearest to p in x, -1/5, n? -1/5 Let x = -1579/17 - -93. What is the nearest to -0.2 in -5/6, x, 2? x Let j = 77/30 + -19/6. Let w be (-1)/2 + -1 + 2. What is the closest to w in 3/2, j, -1? 3/2 Let n be 3/2 - 18/12. Let j = -0.1 - -0.4. Which is the nearest to n? (a) j (b) 0.1 (c) 5 b Let i = -52 + 209/4. Let z = 13 - 19. Let p = -10 - z. Which is the closest to 1? (a) -0.5 (b) p (c) i c Let u = 412/5 + -82. Which is the closest to u? (a) -1 (b) 0.2 (c) 3 b Let v = -5 + 3. Let f be v/(-28) + (-2)/(-4). Let o be (-2 - -1) + (-2)/(-5). Which is the closest to -2/3? (a) 2 (b) f (c) o c Let f = -1496/9 - -166. Let w = 61 - 61. Which is the closest to 1/4? (a) f (b) w (c) 0.1 c Let f = 0.42 - -3.58. Let y = 16/115 - -6/23. What is the nearest to 1 in f, -0.4, y? y Let o = -5/7 - -46/35. Let c = 2 + -3.5. Let v = -1.5 + c. What is the nearest to 0 in -0.4, v, o? -0.4 Let j(v) = 2*v**2 - 3. Let g be j(2). Suppose 15 = -0*l - g*l. Which is the nearest to 2/7? (a) l (b) -0.13 (c) -0.3 b Let z be -5*2*322/(-175). Let w = z + -18. Let d be (1/(-3))/(5/2). Which is the closest to 4/7? (a) d (b) w (c) 4 b Let o = -20/7 + 247/84. Wha
{ "pile_set_name": "DM Mathematics" }
d give s. -6 Rearrange q**4 + 2*q + 93*q**3 - 2 + q**2 - 191*q**3 - 4*q + 93*q**3 to y*q**2 + u*q**3 + n*q + p*q**4 + g and give g. -2 Express (3*h + 2 - 2)*(-h + 2*h - 3*h)*(1 - 1 - 1) as y + l*h**2 + c*h and give l. 6 Express (w**2 + 4*w**2 + 3*w**2)*(-w - 2*w + 5*w) in the form q*w**2 + d + l*w + z*w**3 and give z. 16 Express -2*z - 75*z - 48*z in the form r + n*z and give n. -125 Express 0*z**3 - z**2 + z**3 + 8*z**3 + 11*z - 11*z**3 as w + m*z**3 + s*z**2 + l*z and give s. -1 Express (-6*b + 6*b - 6*b)*(-1 + 4 - 5) + (-b + 2*b - 3*b)*(1 + 0 - 2) as v*b + m and give v. 14 Rearrange 37*i - 37*i + 13*i**2 to y + l*i**2 + k*i and give l. 13 Express (0*w + 3*w - w)*(6 + 0 - 2) + (-1 + 6 - 2)*(-2*w + 2*w + w) + 8*w - 5*w - 9*w as r + d*w and give d. 5 Express k + 66 + 2*k**2 - 66 + 7*k**2 in the form n*k**2 + m*k + a and give n. 9 Express (-s**3 - 4*s**3 + 4*s**3)*(0 + 2 + 0)*(-169 - 32 + 18)*(-3 - 2*s + 3) as l*s + r*s**3 + v + g*s**4 + j*s**2 and give g. -732 Express -2*o + 14*o + 2 + 4*o as i*o + t and give t. 2 Express (-3 + a - 26*a**2 + 17*a**2 + 2)*(-6*a**2 - 4*a**2 - a**2) in the form g*a**2 + c + s*a**3 + t*a**4 + z*a and give t. 99 Express 5*b**3 + 2*b**2 - 2 - 319*b**4 + 318*b**4 - b - b**3 as m*b + r*b**3 + l*b**2 + s + z*b**4 and give r. 4 Rearrange 0 - r - r**2 + 46*r**4 - 43*r**4 + 2 to z + o*r**4 + f*r**2 + c*r**3 + n*r and give o. 3 Express 10*q + 22*q - 9*q as c + i*q and give i. 23 Rearrange n**3 - 1 + 3*n**3 + 2*n**2 + 0*n**3 - 9*n**3 to d + j*n**2 + m*n + t*n**3 and give j. 2 Rearrange -1 + 4*g + 6 - 5 to o + v*g and give v. 4 Express 0 + 60*x**4 - 3*x**3 - 2*x**2 - 2 + 2*x - 57*x**4 in the form w*x**3 + p*x + u + d*x**4 + a*x**2 and give a. -2 Rearrange 6*q**2 + 2*q**2 + 1 + 2*q**4 + 0*q**2 - 2*q**3 - 4*q**2 to the form h*q**4 + u*q**2 + b*q + k + l*q**3 and give u. 4 Rearrange 23*t - 31*t + 22*t + 20*t to the form b + j*t and give j. 34 Rearrange 50 - 113*l - 4*l**2 + 5*l**2 + 113*l to i*l + q + m*l**2 and give q. 50 Rearrange (1 - 1 + y)*(-2 + 2*y + 2) + (-3 + 3 - 2*y)*(4*y + 0*y + y) + 2*y**2 + 4*y**2 - y**2 to the form s + o*y + p*y**2 and give p. -3 Rearrange g**3 - 3*g**3 - 2*g**2 + g**2 to the form z*g**3 + s + c*g + m*g**2 and give z. -2 Express (2 + 4*j - 2)*(2*j + 0*j - 4*j)*(0*j + 0*j - j) + (j**2 + 0*j**2 - 3*j**2)*(-2 + 2 - 2*j) in the form f*j**3 + c + q*j**2 + r*j and give f. 12 Express 4*c - 5*c**4 - c**4 - 3*c + c**2 as l*c**2 + j*c**4 + s + p*c**3 + k*c and give j. -6 Rearrange -3*w**2 + 8*w - 9*w + w**2 to the form n + s*w + p*w**2 and give p. -2 Express -5*s**4 + s**4 + 2*s + s**4 + (s**2 + 6*s**2 - 5*s**2)*(-3*s**2 - s + s) as q*s**3 + f + x*s**2 + c*s + t*s**4 and give c. 2 Express -4 + 20*f - 2 + 6 as x + d*f and give d. 20 Express (4 - 4 + j)*(2*j - j - 2*j) + 2548 - 2*j - 30*j**2 - 2548 as z*j**2 + k + s*j and give z. -31 Express (20*u + 2*u + u)*(-4 + 4 + 3) as t*u + h and give t. 69 Rearrange 2*b + b**3 - 18*b**2 + 18*b**2 + 0*b to g*b**2 + c*b + u*b**3 + q and give u. 1 Express -8*d + 3*d**3 - d**3 - 4*d - d**4 + 11*d + 13*d**2 as u + a*d + i*d**3 + h*d**4 + f*d**2 and give i. 2 Rearrange -3*g - 12 - 16*g + 12 to the form l*g + w and give l. -19 Express -13*v**2 + 8*v**2 + 8*v**2 - 8 as a*v + w*v**2 + d and give w. 3 Express 2553*g - 2572*g - 2 + 2 in the form m*g + y and give m. -19 Rearrange (-2*r + 8*r - r)*(4*r - 4*r + r)*(0 - 7 - 1) to the form u + a*r**2 + l*r and give a. -40 Express 7*g + 2*g + 4 - 6*g - 6*g in the form s*g + b and give s. -3 Rearrange (295 - 47*b - 295)*(4 - 2 + 0 + 1 + 1 + 0 + (-1 + 4 - 1)*(3 + 0 - 2)) to the form l + r*b and give r. -282 Express (-1 - 4 + 1)*(-o - 3*o - 3*o + (1 - 1 - 1)*(o - 2*o + 2*o)) in the form g + r*o and give r. 32 Express x**3 + 4*x**4 + 5*x**3 - 3*x**3 - 3*x**4 + x as w*x**2 + n + j*x**4 + d*x + q*x**3 and give q. 3 Express -h + 4*h**3 + 4*h**2 + h**3 - h**2 - h**2 + h**4 in the form d*h**4 + y + u*h**3 + i*h**2 + c*h and give d. 1 Rearrange -1 + 0 - 10*p**2 - 20*p**2 + 41*p**2 to m + k*p**2 + d*p and give k. 11 Rearrange -11*y - 11*y + 41*y - 16*y + 36*y**2 to the form j + q*y**2 + z*y and give q. 36 Rearrange 11*x**3 - 2 + 0*x**4 + x - 2*x**2 + 2*x**4 - 13*x**3 - 2*x to a*x**4 + m*x**3 + g*x**2 + d + v*x and give a. 2 Rearrange ((1 - 7 + 3)*(-1 - 1 + 6) - 1 + 1 + 2 + (5 - 2 - 4)*(0 - 3 + 4))*(i - 2*i + 3*i) to the form f*i + c and give c. 0 Rearrange 17*s + 25 - 15*s - 74 to q + k*s and give q. -49 Rearrange (1 - 1 + 2)*(-d + 2*d - 3*d) + 0 - d + 0 - 16*d - 12*d - 4*d to b*d + y and give y. 0 Express (46*r**3 + 12*r**3 - 30*r**3)*(-4 + 2*r + 4)*(2 + 1 - 1) as w*r + o + l*r**3 + u*r**4 + m*r**2 and give u. 112 Rearrange (-4*y + 2*y + 4*y)*(4 + y**2 - 4) + 2*y**3 - 2*y + 2*y + (-5*y**2 + 2*y**2 + 2*y**2)*(-4*y - y - 13 + 4*y) to z*y + j*y**2 + f + t*y**3 and give j. 13 Express ((1 + 3 - 5)*(0 - 1 - 1) - 4 - 3 + 5 + 0 + 2 + 5)*(3*f + f - 3*f) in the form r + b*f and give r. 0 Express 3*b + 49 - 49 in the form u*b + i and give i. 0 Express 24*x + 4 - 8 + 2 in the form q*x + y and give q. 24 Rearrange (2 + 2 - 1)*(6 + 0 - 2)*(0*a + 2*a - 2 - 3*a) to the form b + v*a and give v. -12 Rearrange 4 - 1 + 78*i**3 - 77*i**3 + 6*i to q*i**3 + x + f*i**2 + u*i and give q. 1 Express (1 - 1 + 1)*(1 - 2 + 0)*(-6*b**4 - 8*b**4 + 18*b**4) in the form l*b + t*b**4 + z + a*b**3 + c*b**2 and give t. -4 Rearrange 3*q + 2*q - 3*q + (2*q + q - q)*(1 + 1 + 0) + (2*q + q - q)*(-5 + 1 + 2) to a*q + o and give a. 2 Express (-105 - 4*c + 49 + 37)*(0*c + 0*c - 2*c) as k + g*c**2 + t*c and give t. 38 Rearrange -13*z - 5*z + 4*z - 21*z to n*z + u and give n. -35 Rearrange (-2 + 2 + 2)*(0*m + 2*m - 4*m)*(6 - 1 - 4)*(7*m - 3 - 6*m + 6) to k + q*m**2 + p*m and give p. -12 Express -11 + 8 + 65*l**2 + 5 in the form z*l + y + o*l**2 and give y. 2 Express (4 - 3 + 4)*(-3 + 1 + 0)*(-3 - 2 + 4)*(-3*k**3 + 6*k**3 - 2*k**3) in the form x + s*k + b*k**2 + y*k**3 and give y. 10 Rearrange -c**3 + 10*c**2 + 7*c**2 + 3*c + 1 - 16*c**2 + 2*c**4 to d + j*c**2 + o*c + y*c**3 + n*c**4 and give n. 2 Express q + 0*q**2 - q**2 + 2*q**3 + 2*q**4 + 0*q**2 - 3*q in the form h + y*q**4 + n*q**2 + o*q + s*q**3 and give o. -2 Rearrange (3*v**2 + 2*v**2 - 3*v**2)*(2*v - 2*v - 2*v) - 3*v**3 - 3*v**3 + 2*v**3 + 7*v**2 + v**3 - 7*v**2 to the form l*v**2 + s*v + o + a*v**3 and give a. -7 Rearrange (-2 + 4 - 3)*(5 + 7*c + 8*c - 14*c) to y + u*c and give y. -5 Express 10*z + 2*z + 3*z + 3*z as o*z + n and give o. 18 Rearrange 2*a**2 - 3*a**2 - a**2 + (-5*a + 3*a + 0*a)*(-1 + a + 1) - 2*a**2 - 4*a**2 + 4*a**2 + 47*a**2 - 165 + 165 to the form h*a + g + r*a**2 and give r. 41 Express (-3 + 0 + 2)*(-3*k + 3 - 3) + (-2 + 5 + 0)*(15 + 3 - 3)*(k - 3*k + 0*k) in the form f*k + q and give f. -87 Rearrange -12*n**2 - 100 + n**2 + 95 to the form t*n + m*n**2 + f and give f. -5 Rearrange (521 - 521 + 61*w)*(2*w - w + 0*w) + (-2*w - 3*w + 4*w)*(2*w - 3*w - w) + 6*w**2 - w**2 - 3*w**2 to the form x*w**2 + k*w + h and give x. 65 Rearrange (-4 + 4 - 2*y)*((2*y - 4*y + 4*y)*(-1 - 3 + 6) + 35 - 35 + 12*y)*(3 - 3 + 2*y) to p*y**2 + q + r*y + a*y**3 and give a. -64 Rearrange (2 + q - 2)*(2*q - 2 + 2) - 3 - 1 + 107*q**2 + 4 to the form y*q + k + n*q**2 and give n. 109 Rearrange 5*i - 2*i - i + (93 + 124 - 312)*(-2 + 2 + 2*i) to the form u*i + f and give u. -188 Rearrange -2*y**3 + 103*y**2 - 209*y**2 - y**4 + 104*y**2 - 6*y to g + n*y + z*y**2 + p*y**4 + m*y**3 and give p. -1 Express (-39*y**3 + 80*y**3 - 15*y - 39*y**3)*(-5 - 3 + 2) in the form k*y**3 + d*y**2 + j + q*y and give k. -12 Express (5 - 5 + 4*g**2)*(-5 + 2 + 2)*(18 - 9 + 13) in the form i*g + r*g**2 + o and give r. -88 Express z**2 - 12 + 22 - 3*z**2 as c*z + r + a*z**2 and give r. 10 Express -90*s - 912 + 912 as k*s + y and give k. -90 Express -15 + 56*r - 56*r + r**2 in the form w*r + k*r**2 + c and give c. -15 Express 9*s - 4*s + s**4 + 2*s + 5*s**2 in the form d*s**3 + r*s + o*s**2 + h*s**4 + t and give r. 7 Express -3 + 3 + 3*f**3 - f**3 - 4*f + 3*f - 6*f**3 + (f**2 + 1 - 1)*(-4*f + f + f) as x*f + k + h*f**2 + a*f**3 and give x. -1 Rearrange (-4 + 4 - 1)*(16 - 6 + 30)*(-p**4 - 4*p**4 + 3*p**4) to the form o*p**2 + c*p**4 + h*p**3 + l + i*p and give c. 80 Rearrange 42 - 38 - 2*u**2 + 2*u - 2*u**2 - 3*u + 2*u**4 to a*u**3 + c*u**2 + t*u**4 + i + d*u and give
{ "pile_set_name": "DM Mathematics" }
-q**3/2 + 3*q**2 - q. Calculate p*l(s) + 8*a(s). -s + 2 Let b(q) = -3*q**3 - 6*q**2 - 7*q - 16. Let c(j) = 2*j**3 + 7*j**2 + 9*j + 19. Give -7*b(l) - 6*c(l). 9*l**3 - 5*l - 2 Suppose -81*l + 44*l - 185 = 0. Let o(i) = -i**2 - 5*i + 3. Let z(m) = -m**2 - 9*m + 6. What is l*o(y) + 3*z(y)? 2*y**2 - 2*y + 3 Let b(q) = 22*q**3 - 3*q**2 + 8. Let i(f) = -f**3 - f**2. Calculate -b(a) + 3*i(a). -25*a**3 - 8 Let i = 9 - 1. Let y(v) = i - 8 - v**2 - 9*v - 5. Let u be y(-8). Let f(z) = -z - 2. Let j(o) = -1. What is u*f(l) - 6*j(l)? -3*l Let w(c) = -57*c + 2. Let s(f) = -29*f + 1. Give 5*s(o) - 3*w(o). 26*o - 1 Let n = 85 + -80. Let s be (-2*3/10)/(1/n). Let z(q) = -2*q**3 + 4*q**2 + 4*q. Let o(a) = 3*a**3 - 3*a**2 - 3*a. Determine s*z(b) - 4*o(b). -6*b**3 Let p(m) = 3*m**2. Let y(j) = 7*j**2 + 2*j - 6. Let r(b) = 7*b**2 + 3*b - 9. Let i(o) = -2*r(o) + 3*y(o). Give -4*i(v) + 9*p(v). -v**2 Let i(f) = f**3 + f - 1. Suppose 4 - 5 = x. Let m(o) = 8*o**3 + 4*o - 6. Determine x*m(t) + 6*i(t). -2*t**3 + 2*t Let w(j) = -3. Let g(z) = 9. Let u(p) = 46. Let t(m) = -11*g(m) + 2*u(m). Let k(v) = 6*t(v) - 13*w(v). Let q(i) = -i - 3. Calculate -3*k(o) + 2*q(o). -2*o + 3 Let v(t) = -4*t**2 + 7*t - 6. Suppose 10*i - 15 + 65 = 0. Let b(p) = -p**2 - p. Let h(r) = r**2 + 3*r - 1. Let u(c) = -2*b(c) - h(c). Calculate i*u(l) - v(l). -l**2 - 2*l + 1 Let q(t) = -8*t**3 - 7*t**2 - 7*t. Let c = -105 - -105. Let n(s) = -s**3 + c*s - s**2 + 0*s - 2*s + s. What is 21*n(d) - 3*q(d)? 3*d**3 Let v(d) = 6*d**3 + d**2 - 3*d - 4. Let x(c) = c - 6*c + 0*c**2 - 7 + 2*c**2 + 11*c**3. Let b be 3*3/9*-4. Give b*x(h) + 7*v(h). -2*h**3 - h**2 - h Let o(h) = -21*h**3 + h**2 + 8*h + 4. Let c(y) = -12*y**3 + y**2 + 4*y + 2. Determine 5*c(j) - 3*o(j). 3*j**3 + 2*j**2 - 4*j - 2 Let y(k) = -92*k**2 + 3*k + 2. Let c(n) = 2*n**2 + 2*n. Give -4*c(d) + y(d). -100*d**2 - 5*d + 2 Let i(f) = 7*f + 7. Let g(z) be the second derivative of z**3/2 + 3*z**2/2 + 15*z. Let r = -39 + 30. What is r*g(h) + 4*i(h)? h + 1 Let x = -11 - -8. Let j(w) = -w**3 - 4*w**2 - 6*w - 2. Let o be j(-2). Let a(b) = 3 + 3 - b**2 - 5 + o. Let m(n) = -2*n**2 + 5. Calculate x*m(s) + 5*a(s). s**2 Let a(v) = 2*v**3 - 4*v**2 - 8*v + 2. Let y(g) = -3*g**3 + 5*g**2 + 9*g - 3. Determine 5*a(q) + 4*y(q). -2*q**3 - 4*q - 2 Let m(w) = w**3 - w**2 - w + 1. Let n(x) = -17*x**2 - 2*x + 3. What is 3*m(q) - n(q)? 3*q**3 + 14*q**2 - q Let u(n) = 2*n**2 + 2*n. Let a(t) = 136 - 71 + t - 65. Give -2*a(z) - u(z). -2*z**2 - 4*z Let k(s) be the second derivative of -2*s**3/3 - s**2 + 200*s. Let b(c) = -1. Give -4*b(n) + k(n). -4*n + 2 Let p(z) = -12*z**2 + 2*z - 5. Let v(a) = -24*a**2 + 3*a - 8. Give -5*p(h) + 3*v(h). -12*h**2 - h + 1 Let b(k) = -2*k**2 + 3*k + 9. Let a(t) = -t**2 - t + 2. Let y(u) = -11*u**2 + 5*u + 38. Let c(v) = 5*a(v) - y(v). Give -7*b(s) - 2*c(s). 2*s**2 - s - 7 Let l be (-17)/(-4) + 1/(-4) + 3. Let r(k) = -10*k + 22. Let o(c) = -7*c + 15. Give l*o(y) - 5*r(y). y - 5 Let g(r) = -58*r + 3. Let y(c) = -97*c + 5. Let d(k) = 5*g(k) - 3*y(k). Let h(p) = -12*p. Give -42*d(u) - 3*h(u). -6*u Let z(o) = -o**2 + 13*o - 37. Let g be z(9). Let w(t) = t + 1. Let r(v) be the first derivative of -2*v**2 - 4*v - 2. Determine g*r(y) - 2*w(y). 2*y + 2 Let h(i) = -21*i. Let w(q) = 6*q. Suppose -5*b - 15 = 0, -2*o + b + 24 + 27 = 0. Let z be 2*9/o*-24. Calculate z*w(k) - 5*h(k). -3*k Let u(r) be the third derivative of 5*r**4/24 + 5*r**3/2 + 18*r**2 + 6. Let y(d) = -d - 3. Calculate 2*u(g) + 11*y(g). -g - 3 Let v(w) = -3*w**2 + 23*w. Let t(m) = -m**2 - m. Calculate 2*t(i) - v(i). i**2 - 25*i Let m(f) = -5*f**2 - 12*f. Let o(v) = v**3 + 6*v**2 + 13*v. Calculate 6*m(y) + 5*o(y). 5*y**3 - 7*y Let z(x) = x**2 - x - 1. Let g(h) = -6*h**3 + 25*h**2 - 8*h - 11. Let c(p) = 2*p**3 - 8*p**2 + 3*p + 4. Let w(b) = 7*c(b) + 2*g(b). What is -w(y) - 6*z(y)? -2*y**3 + y Let f(j) = -j + 3. Let h(l) = 6*l + 8. Determine 4*f(w) + h(w). 2*w + 20 Let r(m) = m**2 - 2*m + 3. Let q(h) = h**2 + 10*h + 4. Let l be q(-10). Let k(j) = -j**2 - 6 + j + 0 + l. Determine -4*k(w) - 3*r(w). w**2 + 2*w - 1 Let w(y) = y + 2. Let s(d) = 5*d + 15. Determine -4*s(l) + 28*w(l). 8*l - 4 Let m = -5 + 2. Suppose -2*l + y + 3 = 0, 0*y + 19 = l + 3*y. Let w(t) = 5*t**2 - 4*t + 4. Let r(j) = 5*j**2 - 3*j + 3. Give l*r(u) + m*w(u). 5*u**2 Let f(l) = 9*l - 17. Let n(u) = u - 2. Let s(c) = c**2 + 6*c + 6. Let z be s(-3). Let t be 7 + (4 - -5)/z. Let j = t - 55. Give j*n(b) + 6*f(b). 3*b Let u(c) be the first derivative of 10 - 2*c + 1/2*c**2. Let g(h) = -h + 1. Give 2*g(p) + u(p). -p Let k(r) = 15*r**3 - 30*r**2 + 11*r - 13. Let d(q) = -7*q**3 + 15*q**2 - 5*q + 6. What is -13*d(f) - 6*k(f)? f**3 - 15*f**2 - f Let i(g) = g + 1. Let b(c) = -4*c**2 - 6*c + 2. Give b(n) - 5*i(n). -4*n**2 - 11*n - 3 Let j be 56 - (-2 - 1 - -3). Let k = j - 57. Let d(x) = -2*x**3 - 6. Let n(c) = 1. Determine k*d(h) - 8*n(h). 2*h**3 - 2 Let m(i) = -i. Suppose b - 7 = -3. Let l(x) = -8*x. What is b*l(p) - 36*m(p)? 4*p Suppose -6*d + 14*d - 16 = 0. Let h(x) = 4 - d - x + 3. Let g(s) = -s + 6. Calculate -5*g(z) + 6*h(z). -z Let h(x) = x**2 - 4 - 2 + 0*x**2. Let c(b) = -b**2 + 7. Let n = -117 + 65. Let i = n - -46. Give i*c(z) - 7*h(z). -z**2 Let c(z) = -12*z**3 - 3*z**2 - 3*z - 1. Let p(k) = k**3 + k**2 + k. Let b be (5 - (-19)/(-4))*(-8)/2. What is b*c(m) - 3*p(m)? 9*m**3 + 1 Let m be 14*(91/14 + -6). Let w(u) = 8*u**2 + 4. Let o(y) = 15*y**2 + 7. Calculate m*w(p) - 4*o(p). -4*p**2 Let h(n) = 780*n**2 - 143*n + 143. Let q(p) = 6*p**2 + 4*p**2 - 13 - 2*p + 6*p**2 - 5*p**2 + 15. Give -2*h(v) + 143*q(v). 13*v**2 Let z(o) = 4*o. Let u be 18/81 - (2/9 + 2). Let g be (u/3)/(((-56)/12)/7). Let j(d) = d. What is g*z(l) - 8*j(l)? -4*l Let v(c) = -2*c - 6. Let t = -26 - -68. Let i = -41 + t. Let z(p) = p + 1. Determine i*v(a) + 5*z(a). 3*a - 1 Suppose -n = 5*p - 19 + 4, -5*n + 3*p = 37. Let v(j) = 22*j**3 + 2*j**2 + 12*j + 22. Let l(d) = 9*d**3 + d**2 + 5*d + 9. What is n*v(z) + 12*l(z)? -2*z**3 + 2*z**2 - 2 Let n(m) = -3*m**3 - 5. Suppose -3*t = -7*t, -3*l + 3*t + 21 = 0. Let b(i) be the first derivative of -3 + 9*i**4 + 0 - 8*i**4 + 7*i. Give l*n(v) + 5*b(v). -v**3 Let f(m) = 1. Let v be 4/6 - (-7)/21. Let n(b) = -5*b**2 + 2*b - 1. Give v*n(g) + f(g). -5*g**2 + 2*g Let q(g) = -497 - 5*g + 498 + 6*g. Let n(k) = 3*k + 1. Suppose -5 = -4*h - h. Suppose 5*t = -4*r - 0 + 1, -2*r + 4*t - 6 = 0. Determine h*n(y) + r*q(y). 2*y Let t(v) = -4*v - 163*v**2 + 170*v**2 + 3*v**3 - 2*v. Let j(w) = 13*w - 20. Let p be j(2). Let a(h) = 4*h**3 + 8*h**2 - 7*h. What is p*t(q) - 5*a(q)? -2*q**3 + 2*q**2 - q Let a(d) = 2*d**2 + 0*d**2 - 4*d**2 - 2*d - 1. Suppose -8*o = 16 - 528. Suppose 9*l = l - o. Let c(b) = 3*b**2 + 3*b + 2. Give l*a(t) - 5*c(t). t**2 + t - 2 Let j(v) = -2*v**2 - 2. Let l(x) = -7*x + 9*x + 10 - x**3 - 2*x + 11*x**2. Calculate -11*j(m) - 2*l(m). 2*m**3 + 2 Let k(i) = -436 + 433 + 0*i - i. Let q(r) = r. Calculate -k(n) - 3*q(n). -2*n + 3 Let p(y) = 15*y**3 + 8*y**2 - 6. Let v(x) = 44*x**3 + 23*x**2 - 17. Let k = 934 + -928. Calculate k*v(u) - 17*p(u). 9*u**3 + 2*u**2 Let w(r) = 4*r + 3*r**2 - 5*r**2 + r**2 - 1. Let p(g) = -g**2 + 5*g - 2. Let x = 50 - 30. Suppose -15*t + 10*t - x = 0. Give t*w(b) + 3*p(b). b**2 - b - 2 Let j(b) = -5*b**3 + 29*b**2 - 10*b + 6. Let h(m) = -7*m**3 + 44*m**2 - 16*m + 9. Calculate -5*h(u) + 8*j(u). -5*u**3 + 12*u**2 + 3 Let i(h) = -9*h - 7 - 2 + 17*h**2 + 0*h. Let r(u) = -4*u**2 + 2*u + 2. Suppose 0*k - k = 4. Suppose 248 + 454 = -39*s. Calculate k*i(d) + s*r(d). 4*d**2 Let t(r) = -r**3 + 2*r**2 - 8*r + 23. Let v(b) = b**2 - 3*b + 8. What is -3*t(m) + 8*v(m)? 3*m**3 + 2*m**2 - 5 Let k(f) = -f**2. Let g(u) be the second derivative of -u**4/4 - u**3/6 - u**2/2 - 47*u. Calculate 3*g(i) - 8*k(i). -i**2 - 3*i - 3 Let m(h) = -29*h - 28. Let v(s) = -2*s + 3. Give m(d) + 6*v(d). -41*d - 10 Let n(s) be the third derivative of -s**6/40 - s**4/6 - 123*s**2. Let g(i) = -9*i**3 - 11*i. What is -6*g(p) + 17*n(p)? 3*p**3 - 2*p Let h(r) = 88*r + 2. Let v(z) = -2*z + 1. Determine h(p) - 4*v(p). 96*p - 2 Let a = 12 - 7. Let z = 10 - a. Let h(r) = 9*r**2 + 2 - 1 - 8*r**2 + z*r. Let g(j) = j + 1. Give 3*g(m) - h(m). -m**2 - 2*m + 2 Let o(u) = -1. Let s(q) = 2. Let k(t) = 3*o(t) + s(t). Let r(l) = -l**2 + 2*l - 6. Let i(v) = -1
{ "pile_set_name": "DM Mathematics" }
-16 - -19. Let x(f) be the third derivative of -1/12*f**4 - 2*f**2 + 0*f + 0 + 1/3*f**p. Find the first derivative of x(y) wrt y. -2 Let b(u) be the second derivative of -u**8/48 - 7*u**5/60 + 5*u**2/2 - 2*u. Let k(n) be the first derivative of b(n). Find the third derivative of k(a) wrt a. -420*a**2 Let u(v) be the first derivative of v**4 + v**3/3 + 5. Find the third derivative of u(m) wrt m. 24 Let p be (-66)/(-14) - 6/(-21). Find the second derivative of 2*i**4 + 5*i + i + p*i - 4*i wrt i. 24*i**2 Find the first derivative of -11 + 2*k - 5*k + 2*k + 19*k wrt k. 18 Suppose -12 = -2*o - 2*o. What is the second derivative of 3*f - 4*f + 45*f**3 - 38*f**o wrt f? 42*f What is the first derivative of -2 - 3 + 28*x**4 - 21*x**4 wrt x? 28*x**3 Find the first derivative of g**3 + g**3 + 0 - 4 - 1 wrt g. 6*g**2 Suppose 0 = -3*u - 7 - 8, -5*u = -5*j + 265. Let m be j/18 + (-4)/6. Find the third derivative of -3*b**5 + 0*b**5 + 3*b**2 - 5*b**m wrt b. -180*b**2 Let n(k) = k**2 - 10*k + 11. Let i be n(9). Find the third derivative of f**6 - 6*f**6 + f**6 - 2*f**i wrt f. -480*f**3 Let a(z) = z + 9. Let f be a(-5). What is the second derivative of g - 2*g**4 + f*g + 0*g**4 - 2*g wrt g? -24*g**2 Let v(r) be the third derivative of -r**8/20160 - r**6/720 - r**5/60 + 4*r**2. Let h(x) be the third derivative of v(x). Differentiate h(y) with respect to y. -2*y Suppose -o - 1 = -3. Let k(v) = v**2 - v + 1. Let g(t) = t**3 - 8*t**2 + 7*t - 7. Let r(y) = o*g(y) + 14*k(y). Find the third derivative of r(z) wrt z. 12 Let q be (-1402)/(-9) + 10/45. What is the third derivative of q - 156 + 8*o**6 + o**2 wrt o? 960*o**3 Let i(x) be the third derivative of -x**8/560 - x**4/24 + x**3/2 - 2*x**2. Let a(h) be the first derivative of i(h). Find the first derivative of a(g) wrt g. -12*g**3 Let r(j) = j**3 + j**2 - j. Let k(b) = 22*b**4 - 2*b**3 - 2*b**2 - 6*b. Let s(l) = -k(l) - 2*r(l). What is the second derivative of s(g) wrt g? -264*g**2 Suppose 0*t - 4*t = -20. Let s(a) = 11*a**2 + 5*a - 8. Let w(h) = 16*h**2 + 7*h - 12. Let p(k) = t*w(k) - 7*s(k). Differentiate p(d) wrt d. 6*d What is the third derivative of 3 + 5*x**2 + 4*x**3 + x**2 - 3 wrt x? 24 Let g(u) be the first derivative of u**7/42 - u**3/6 - u + 1. Let l(a) be the first derivative of g(a). Find the second derivative of l(s) wrt s. 20*s**3 Let i be -3*(-5)/3 - 1. What is the third derivative of -5*q**3 + 3 + 3*q**2 - 7 + i wrt q? -30 Find the first derivative of -62*d**2 - 56 - 62*d**2 - 14 + 93*d**2 wrt d. -62*d Let v(x) be the first derivative of 4*x**2 - 7 + 5/3*x**3 + 0*x. What is the second derivative of v(m) wrt m? 10 Let j(l) be the first derivative of -3*l**4/2 + 4*l + 8. Find the first derivative of j(c) wrt c. -18*c**2 Differentiate -25 - 4*l**3 + 23 + 2*l - 2*l wrt l. -12*l**2 Let v(s) = s - 3*s + 2*s**2 + 6*s. Let x(j) = -j**3 - 2*j**2 - 3*j. Let f(u) = -3*v(u) - 4*x(u). What is the third derivative of f(g) wrt g? 24 Let m = 2 + 0. Let f = m - 0. Find the second derivative of -f*b - 19*b**4 + 16*b**4 + 4*b wrt b. -36*b**2 Let m(i) = -28*i**3 - 5*i**2 - 5*i - 33. Let f(u) = 42*u**3 + 7*u**2 + 7*u + 50. Let v(x) = -5*f(x) - 7*m(x). What is the derivative of v(g) wrt g? -42*g**2 Let v be (1 - 0)*-1 - -14. Suppose -v = -4*c - 5. Differentiate 4*i**2 + 0 - 6*i**c + 1 wrt i. -4*i What is the derivative of -12*u**4 + 5 - 3 + 11 wrt u? -48*u**3 Differentiate 36 + 58*w + 2*w - 7*w + 34 with respect to w. 53 Differentiate 0*q**2 - 2*q**2 - 4*q**2 + 2 wrt q. -12*q Let y(t) be the third derivative of t**8/112 + 11*t**5/60 + 8*t**2. What is the third derivative of y(g) wrt g? 180*g**2 Let v(w) = w**3 + 5*w**2 - 6*w + 2. Let i be v(-6). Let m(c) = c + 10. Let b be m(-7). What is the first derivative of 2 + 3*f - b*f + i*f wrt f? 2 Suppose -5*o + 10 = -0*o. Find the first derivative of -3 - 3 - 9*s**o - 3 + 6 wrt s. -18*s Suppose -3*k + 8 = k. Find the third derivative of 0*y**2 + 4*y**3 + y**k - 4*y**2 wrt y. 24 Suppose 0 = 3*x - 5*t + 40, -4*t + 26 = -0*x - 2*x. Let q be -2 + x*2/(-3). Find the third derivative of -q - 2*h**3 + 8 + h**2 wrt h. -12 Let a(q) = -31*q**2 - 46*q. Let b(x) = -x. Let c(o) = a(o) - 3*b(o). Find the second derivative of c(h) wrt h. -62 Let h(m) be the third derivative of 5*m**4/8 + 16*m**3/3 - m**2 + 17*m. What is the derivative of h(s) wrt s? 15 Let m(f) = 2*f**2 + 2*f. Let u(l) be the first derivative of -l**3 - 5*l**2/2 + l + 4. Let q(b) = -5*m(b) - 2*u(b). Differentiate q(t) wrt t. -8*t Let u(t) = -21*t - 17. Let i(f) = 7*f + 6. Let v(d) = -8*i(d) - 3*u(d). Find the first derivative of v(z) wrt z. 7 Let m(a) be the first derivative of -a**6/360 + a**5/20 + a**3/3 - 5. Let r(o) be the third derivative of m(o). Find the second derivative of r(z) wrt z. -2 Let q(x) be the third derivative of x**7/840 + x**4/8 - x**3/2 + 4*x**2. Let t(v) be the first derivative of q(v). Find the first derivative of t(d) wrt d. 3*d**2 Let q be -1*(3 + 10/(-3)). Let s(a) be the second derivative of 0 + 1/2*a**2 - 2*a - q*a**3. What is the first derivative of s(v) wrt v? -2 Let f(c) = -c**4 - c**2 + c. Let m(a) = 2*a**4 - 3*a**2 - 30*a. Let q(t) = 2*f(t) + 2*m(t). Find the second derivative of q(n) wrt n. 24*n**2 - 16 Let t(r) = 117*r - 96. Let u(f) = -58*f + 48. Let z(w) = -6*t(w) - 13*u(w). Differentiate z(o) with respect to o. 52 Let f(l) = -15*l**4 - l**3 - 30*l**2 - 1. Let q(u) = -u**4 + u**3 - u**2 + 1. Let w(i) = -f(i) - q(i). Find the third derivative of w(c) wrt c. 384*c Let x(s) be the third derivative of s**10/50400 - s**6/144 - s**5/10 - 2*s**2. Let m(g) be the third derivative of x(g). Differentiate m(r) wrt r. 12*r**3 Find the second derivative of 14*t + 3*t**3 + 2*t**3 + 13*t**3 + 2*t wrt t. 108*t Suppose 3 = -5*m + 23. Suppose 2*s + 5*p + 10 = 0, -m*s + p - 2 = -4. Find the third derivative of s*t**3 - 3*t**3 + t**2 + t**3 wrt t. -12 Let y be ((-16)/(-40))/((-2)/(-20)). What is the second derivative of 9 - 3*l**y + l - 9 wrt l? -36*l**2 Let z = 0 - -1. Suppose 4*x + z = 13. Find the second derivative of -2*n + 0*n + 2*n**3 - x*n**3 wrt n. -6*n Let p(d) be the second derivative of d**10/1680 + d**6/180 + d**3 - 2*d. Let b(r) be the second derivative of p(r). What is the third derivative of b(m) wrt m? 360*m**3 Let o be -3 - 0*3/(-6). Let j = 1 - o. Find the first derivative of 3*c**j - 4*c + 4*c + 1 wrt c. 12*c**3 Suppose 0*i - 2*i + 12 = 0. Find the third derivative of -3*x**5 + i*x**2 - x**2 - x**5 wrt x. -240*x**2 Suppose 0 = -2*k + 19 + 1. Let z(h) = -h**3 + 10*h**2 + h - 7. Let a be z(k). What is the second derivative of a*l + 14 - 14 + 3*l**3 wrt l? 18*l Let d be 2 - (1 + -1 + -1). Find the third derivative of -z**6 + z**2 + 2*z**2 + z**2 - d*z**2 wrt z. -120*z**3 Let l(b) be the first derivative of 0*b**4 + 0*b**3 - b**2 - 4 + 0*b**5 + 0*b - 5/6*b**6. Find the second derivative of l(p) wrt p. -100*p**3 Find the first derivative of -36*o**2 - 9*o**3 + 2 + 36*o**2 wrt o. -27*o**2 Let z(l) = l**5 - l**4 + l**3 + l. Let a(b) = -15*b**5 - 3*b**4 + 3*b**3 + 28*b. Let s(t) = -a(t) + 3*z(t). Find the second derivative of s(m) wrt m. 360*m**3 Let v(d) = 4*d + 11. Let j(a) = -a. Let k be (-2)/2*-1 + -2. Let m(f) = k*v(f) - 6*j(f). What is the derivative of m(s) wrt s? 2 Let m(r) = r + 10. Suppose 0 = 2*u - 10, 3*u - 37 = 4*y + 2*u. Let v be m(y). What is the third derivative of -x**3 + 0*x**2 - 2*x**3 + x**v + x**2 wrt x? -18 Let l = 48 - 46. Let p = 12 + -8. What is the first derivative of -p + 0 + 7 - l*w**4 wrt w? -8*w**3 Suppose 6*z + 3 = 9*z. Differentiate -z + 1 - 2*m**2 - 3*m**2 - 4 wrt m. -10*m Let j be 4*-10*(-1)/8. Find the third derivative of 5*c**5 + 6*c**2 - c**j + 3*c - 3*c wrt c. 240*c**2 Suppose 5*q = -o + 2430, q - 35 = 2*o + 451. Find the third derivative of -5*v**2 - 486*v**3 + q*v**3 - 6*v**4 wrt v. -144*v Let h(d) = -6*d**5 + 15*d**2 + 5. Let k(i) = -7*i**5 + 14*i**2 + 4. Let j(p) = 4*h(p) - 5*k(p). What is the third derivative of j(s) wrt s? 660*s**2 Let t(w) be the third derivative of 8*w**7/105 + w**4/4 - 18*w**2. What is the second derivative of t(l) wrt l? 192*l**2 Let q(z) = -2*z + 1 + 3*z + 1. Let m be q(0). Find the second derivative of w + 2*w**4 + m*w - 2*w wrt w. 24*w**2 Differentiate 4*l**2 + 2 + 714*l - 714*l wrt l. 8*l Let a(r) = -3*r**4 - 4*r + 6. Let
{ "pile_set_name": "DM Mathematics" }
e 3. 21200 Convert 10110010110 (base 2) to base 4. 112112 What is -226c (base 13) in base 4? -1023112 -326 (base 8) to base 11 -185 What is -110101011011 (base 2) in base 3? -11200122 -153ad (base 14) to base 2 -1100111010001101 What is 620 (base 13) in base 8? 2020 4055 (base 11) to base 5 133014 What is -43c1 (base 13) in base 14? -3632 What is -773 (base 11) in base 13? -564 What is 30424 (base 7) in base 9? 11151 What is 51cc (base 15) in base 11? 11aa0 Convert -85 (base 15) to base 16. -7d 81075 (base 9) to base 3 2201002112 Convert -3984 (base 11) to base 3. -21002122 -f7e (base 16) to base 15 -1296 362412 (base 7) to base 14 19d42 Convert 304 (base 7) to base 16. 97 Convert -1110012221 (base 3) to base 6. -340211 -22520 (base 6) to base 15 -e46 Convert -6604 (base 11) to base 3. -102221211 Convert 2115 (base 10) to base 3. 2220100 What is 1111111111 (base 2) in base 11? 850 Convert -2450 (base 8) to base 10. -1320 15206 (base 7) to base 5 113340 -12055 (base 6) to base 7 -5066 Convert -210233 (base 5) to base 10. -6943 What is -34 (base 11) in base 14? -29 What is -40a8 (base 11) in base 13? -2628 Convert -4536 (base 9) to base 5. -101404 Convert -a187 (base 12) to base 5. -1030102 Convert 7765 (base 8) to base 6. 30525 Convert -1245 (base 6) to base 14. -189 Convert -4680 (base 11) to base 3. -22102100 What is -624 (base 7) in base 2? -100111000 Convert -142 (base 7) to base 6. -211 Convert -10511 (base 7) to base 12. -1652 Convert 2431 (base 7) to base 5. 12104 23548 (base 9) to base 4 3312032 -2d47 (base 15) to base 8 -23016 -454 (base 13) to base 9 -1017 What is 21104 (base 5) in base 11? 1067 12dc (base 15) to base 8 7700 3c4 (base 13) to base 12 477 Convert 124 (base 12) to base 9. 211 What is 2220002 (base 3) in base 7? 6101 What is -7ac8 (base 15) in base 14? -96d9 What is -31324 (base 6) in base 13? -1c03 What is -1768 (base 15) in base 3? -20220222 Convert -55 (base 6) to base 2. -100011 What is -1221011 (base 3) in base 11? -1070 1204420 (base 6) to base 15 13b03 What is -33010 (base 5) in base 12? -137b -1100 (base 6) to base 12 -190 102111 (base 3) to base 4 10312 323 (base 9) to base 15 129 8287 (base 10) to base 3 102100221 Convert -628 (base 11) to base 5. -11011 215023 (base 8) to base 5 4302321 66 (base 10) to base 13 51 What is -1000101111 (base 2) in base 15? -274 4187 (base 12) to base 16 1bf7 What is -44362 (base 7) in base 14? -40d9 Convert -1899 (base 15) to base 9. -7260 -101111110010101 (base 2) to base 14 -8cbb What is -195 (base 10) in base 15? -d0 33030 (base 4) to base 13 59a -df71 (base 16) to base 4 -31331301 Convert -24b (base 14) to base 16. -1cb What is 577 (base 12) in base 11? 678 101011002 (base 3) to base 4 1303220 -463d (base 15) to base 5 -434113 Convert -202121222 (base 3) to base 13. -6aca 223111 (base 4) to base 11 20a1 -11000101011 (base 2) to base 14 -80b 23232 (base 5) to base 14 88c Convert 7980 (base 12) to base 8. 32260 What is 587 (base 9) in base 6? 2124 33112 (base 4) to base 16 3d6 Convert -8772 (base 14) to base 5. -1222144 Convert 12001210 (base 3) to base 7. 13524 Convert 42022 (base 5) to base 4. 223022 What is 20022122 (base 3) in base 5? 121412 Convert 133231 (base 7) to base 15. 76c4 Convert -10011202 (base 3) to base 8. -4413 2a35 (base 13) to base 14 233a What is 355 (base 11) in base 4? 12213 Convert -101212011 (base 3) to base 10. -7915 -8679 (base 10) to base 5 -234204 6455 (base 7) to base 4 203312 Convert -1222221 (base 3) to base 12. -a14 -39c1 (base 13) to base 2 -10000001001101 What is -511453 (base 6) in base 2? -1001111001111001 What is -b28 (base 12) in base 6? -11252 Convert 1120210 (base 5) to base 4. 10321113 Convert -10001220 (base 3) to base 14. -b5c -3702 (base 16) to base 12 -8196 What is 220222000 (base 3) in base 14? 68bc 89b9 (base 13) to base 15 5a84 24022 (base 12) to base 3 2110101222 What is -103330 (base 4) in base 8? -2374 Convert 2112 (base 7) to base 2. 1011101000 Convert 2152 (base 7) to base 2. 1100000100 Convert 12404 (base 5) to base 4. 33103 21211 (base 4) to base 10 613 Convert -5421 (base 9) to base 5. -111423 b32 (base 13) to base 8 3554 Convert -2402 (base 5) to base 14. -1b2 What is -4530 (base 6) in base 5? -13222 Convert -13d4 (base 15) to base 5. -113444 What is 43a2 (base 14) in base 13? 5436 -69125 (base 10) to base 6 -1252005 Convert -75588 (base 9) to base 8. -141611 10001011011 (base 2) to base 8 2133 Convert -5 (base 13) to base 7. -5 13000313 (base 4) to base 2 111000000110111 3113111 (base 5) to base 8 143527 Convert -ad (base 16) to base 5. -1143 What is -393 (base 13) in base 2? -1001110011 What is 1ab (base 12) in base 15? 135 What is -171 (base 8) in base 7? -232 Convert 41301 (base 6) to base 13. 267a Convert -3451 (base 7) to base 8. -2355 Convert ab4 (base 13) to base 15. 827 10101110 (base 2) to base 10 174 4da (base 14) to base 5 12401 2b97 (base 12) to base 10 5155 What is -690b (base 12) in base 7? -46016 110021221 (base 3) to base 9 13257 1000110111 (base 2) to base 5 4232 What is -21210022 (base 3) in base 5? -140203 -4637 (base 10) to base 9 -6322 Convert 230223 (base 5) to base 6. 101524 Convert 31200 (base 4) to base 15. 3c9 -2020 (base 3) to base 15 -40 -438 (base 14) to base 7 -2301 What is 22100 (base 8) in base 13? 42bb What is -2298 (base 12) in base 16? -f14 Convert -2637 (base 11) to base 2. -110101100100 1104112 (base 5) to base 6 225134 What is -4962 (base 16) in base 6? -222550 -4350 (base 13) to base 6 -111200 Convert -71 (base 10) to base 16. -47 Convert 1d11 (base 15) to base 10. 6316 19062 (base 10) to base 2 100101001110110 What is 2806 (base 14) in base 9? 10616 What is -12114 (base 9) in base 4? -1332301 122001 (base 3) to base 2 111001100 Convert -111111000000000 (base 2) to base 8. -77000 Convert -1100220211 (base 3) to base 13. -c334 Convert 110010100011001 (base 2) to base 8. 62431 -9be9 (base 15) to base 13 -1208a -21a7 (base 14) to base 5 -141311 5443 (base 7) to base 11 1506 What is -23441 (base 6) in base 11? -261a -246e (base 15) to base 2 -1111001001010 What is -11011021 (base 3) in base 6? -22011 Convert 5563 (base 15) to base 5. 1034333 b (base 14) to base 2 1011 1ac (base 13) to base 9 375 3b32 (base 14) to base 10 10432 134a (base 13) to base 10 2766 Convert -7075 (base 10) to base 16. -1ba3 Convert 1293d (base 14) to base 7. 250206 -161410 (base 7) to base 12 -16467 What is 29279 (base 11) in base 2? 1010001001110101 What is 363 (base 7) in base 8? 300 519 (base 15) to base 11 955 Convert 111320 (base 4) to base 5. 21100 112021 (base 3) to base 11 320 What is -c27a (base 13) in base 11? -19157 Convert -1100010101010000 (base 2) to base 7. -300160 Convert 1213331 (base 4) to base 13. 304a What is -17799 (base 11) in base 8? -60521 Convert 709 (base 16) to base 2. 11100001001 Convert -2200110 (base 3) to base 14. -9da Convert 4540 (base 9) to base 2. 110100011101 Convert 1510 (base 14) to base 15. 1193 11101101 (base 2) to base 15 10c Convert -480 (base 13) to base 3. -1001220 What is -2a43 (base 12) in base 8? -11523 What is 4134 (base 6) in base 8? 1632 Convert -12551 (base 6) to base 7. -5440 Convert 32245 (base 6) to base 9. 6052 -b87 (base 14) to base 3 -10010021 -344 (base 5) to base 11 -90 What is 216 (base 14) in base 4? 12130 -2740 (base 8) to base 4 -113200 Convert 1001111100 (base 2) to base 13. 39c Convert -1652 (base 8) to base 2. -1110101010 11 (base 14) to base 8 17 Convert 10122 (base 5) to base 7. 1634 -68907 (base 10) to base 13 -25497 What is 112123 (base 4) in base 16? 59b -668 (base 15) to base 11 -10a7 -1010100000 (base 2) to base 5 -10142 Convert 11100 (base 4) to base 13. 1cb Convert -3a0a (base 12) to base 6. -50414 Convert -21525 (base 8) to base 5. -242140 Convert 33144 (base 5) to base 13. 107b What is -301604 (base 7) in base 12? -25672 Convert -225345 (base 6) to base 11. -13601 What is 135101 (base 6) in base 13? 5a82 -1111110 (base 2) to base 11 -105 What is -221320 (base 4) in base 5? -41210 What is -1055 (base 14) in base 10? -2819 What is -3020 (base 5) in base 3? -112021 What is 315 (base 13) in base 8? 1015 What is 6b75 (base 12) in base 14? 4561 Convert -2c6 (base 16) to base 15. -325 Convert 10000111011111 (base 2) to base 13. 3c40 65302
{ "pile_set_name": "DM Mathematics" }
p). Is x(h) a prime number? False Is 124/(-62) + 3*8373 composite? False Suppose 11 = 7*u - 3. Suppose 3*c - 3*w = 1944, 652 = -c + u*c + 3*w. Is c composite? True Suppose -7*b + 5*b + 70047 = f, 4*b - 140097 = -5*f. Is b composite? False Let c(h) be the first derivative of 7*h**3/3 - 13*h + 2. Let p be c(6). Suppose -4*t + p = -405. Is t prime? False Suppose -5*r = -10, -6*i + 2*i - 2*r = -16820. Suppose 2*y + 2*b = i, -3*y + 5*b = 4*b - 6306. Is y prime? False Let j(z) = 4*z**3 + 2*z**2 + z - 2. Let v be j(1). Suppose -5*u - 10115 = -v*a, -a + 8090 = 3*a - 3*u. Is a prime? False Suppose 4*i + 8*q = 6*q + 4636, 3479 = 3*i + 2*q. Suppose -2*d + 5*z = -3*d + 354, -4*z = -3*d + i. Is d composite? False Suppose -2*t + t = -1, -5*y - 3994 = t. Is y/51*(-138)/2 prime? False Let a(y) = y + 1. Let n(h) = 5*h**2 + 4*h - 4. Let f = 4 + 1. Let z(j) = f*a(j) + n(j). Is z(-6) a composite number? False Suppose -8*u + 78351 - 19015 = 0. Is u prime? True Suppose -5*q + s - 71 - 263 = 0, 5*s = -4*q - 244. Let n = q - -235. Is n prime? False Suppose -7 = -5*a + 5*b + 18, -4*b - 20 = 2*a. Is -55*(a + 2)/(-2) prime? False Is 116920/6 + 0 - (-43)/129 a composite number? True Let j = -97 - -537. Suppose 0 = m + 2*m - 3*g - 651, 5*g = 2*m - j. Is m a composite number? True Let y be (-4)/(-16) - (-50)/(-8). Is 2782/5 - y/10 a composite number? False Let v be -5*(-18)/(-9)*1/(-2). Suppose v*d = 4*r + 8831, 5*d - 12002 = r - 3183. Is d composite? True Let t(a) = -15083*a + 74. Is t(-1) composite? True Suppose 5*o = 2*o - 90. Let x = o - -32. Suppose -k = 4*d - 6*k - 1208, -x*k + 8 = 0. Is d composite? False Let o = -181 + 564. Is o composite? False Let p(z) = 9*z - 45. Let f be p(6). Suppose -61580 = -11*x - f*x. Is x a composite number? False Is 14/3*(-255963)/(-82) - 1 composite? True Let t = 16 + -7. Let a be -1*9*(-8 + t). Let v(o) = 7*o**2 + o - 1. Is v(a) a prime number? True Suppose -19843 = -12*u + 28265. Is u composite? True Suppose -f + f = 2*f. Suppose -3*t + 4*g + 951 = f, -g - 634 = -2*t + 4*g. Is t composite? False Suppose -15 = -4*a - f, -a + 0*f = 4*f - 15. Suppose -m = -o - 11, 4*m - 40 = -0*m + a*o. Suppose -m*y = -4*y - 1191. Is y composite? False Is (11572 - 14)/(5 + -3) a composite number? False Suppose -2*q - 4 = -o - 0*q, -o + 5*q = 2. Let c = o + -8. Suppose -5*s = 25, c = 3*r + 2*s - 305 + 48. Is r prime? True Let x = 233 + 1052. Let d = 2846 - x. Is d a composite number? True Let v(z) = 16 + 27*z + 5*z - 3 + 4*z. Suppose 2*b - 4*b + 22 = 0. Is v(b) a composite number? False Suppose 2064 + 3000 = -5*j - l, 0 = -2*j - l - 2025. Let r = -334 - j. Is r composite? True Suppose -2*m + 2738 = -1388. Is m prime? True Let z = 26 - 24. Let a be (-7)/((-21)/(-444))*z. Let s = 669 + a. Is s a prime number? True Let a be 46 + -3 - (1 + 0). Suppose h = 3*j + 16, 5*h + 2*j - 64 = 3*h. Let y = a - h. Is y a prime number? False Suppose -3099 = -s - 2*l, 0 = -5*s + 4*l + 15966 - 401. Is s a composite number? False Let m(r) = 11*r**3 - 3*r**2 + 7*r + 1. Let x(n) = -10*n**3 + 3*n**2 - 7*n. Let z(j) = -5*m(j) - 6*x(j). Is z(6) a composite number? False Suppose -a = -h - 32598, -97*h = -99*h + 10. Is a a prime number? True Let p(v) be the second derivative of v**6/60 - v**5/24 + v**4/6 - 5*v. Let y(u) be the third derivative of p(u). Is y(7) composite? False Let d = 1039 - 428. Is d a composite number? True Suppose -21*z + 48 = -15*z. Is 10884/z*(-6)/(-9) composite? False Let z(f) = 37*f**2 + 3*f + 5. Let p be z(-4). Let t = p + -245. Suppose 2*w - v = 725, w + v = 6*v + t. Is w prime? False Let p be (-3 + 9)/(4/(-190)). Let r = 918 + p. Is r + -1 + (1 - -2) composite? True Let c(h) be the first derivative of h**3/3 + 9*h**2/2 + 12*h - 8. Let u be c(-8). Suppose -u*q = -q - 4*l - 889, 2*q - 562 = -5*l. Is q a composite number? True Let c = 228 - 231. Let s(n) = -n**2 + 7*n - 4. Let p be s(5). Is (2 + -1384)*c/p composite? False Is (-3057897)/(-146) + 10/4 prime? True Suppose -35*c = -2762 - 1368. Is c composite? True Let w = 2115 + -1111. Suppose -w = -8*t + 3660. Is t a prime number? False Let g = 11392 - 6766. Suppose 4*r - g + 50 = -4*q, -r = 3*q - 1150. Is r prime? False Let j(o) = -33*o**3 - o**2 - 13*o + 7. Is j(-4) composite? True Suppose -2*q = h + 3*q - 27, -2*q + 10 = 0. Suppose 2*a - 5*v - 2193 = -h*a, 2*a - v = 1095. Is a a composite number? False Suppose 454426 = -2610*c + 2624*c. Is c composite? True Is (6/(-9))/(-7 + (-512644)/(-73236)) prime? False Suppose 566603 = 56*s + 118099. Is s composite? False Suppose 5*j = -f - 1226, 3*f - 69 + 549 = -2*j. Let s = j - -545. Is s a composite number? True Let m(y) = 178*y - 29. Let o be m(14). Suppose 11*c - 14*c = -o. Is c composite? False Suppose 0*a + a = 3*y + 8, -4*a + 53 = -5*y. Let n = -14 + a. Suppose -n*l + 402 = 3*j, 259 = 3*j - j - l. Is j composite? False Let j(n) = -316*n**2 + n - 8. Let s be j(17). Is (s/(-20))/7*4 a composite number? False Suppose 0 = m - 6*h + 9*h - 2923, 0 = -5*h + 10. Is m a composite number? False Suppose 8 = 4*s + 4. Let w(u) = -289*u + 2. Let t(q) = -q - 1. Let d(z) = -3*t(z) - w(z). Is d(s) a prime number? True Let t(n) = 4*n**2 + 65*n + 11. Is t(12) a composite number? False Let j be (-1)/((-1)/(-4)*-1). Suppose 0 = j*d - 3*d. Suppose -35 = -d*m - m. Is m composite? True Let j(c) = 253*c**2 - 26*c + 64. Is j(-13) composite? False Let c be -163*1/((-3)/12). Suppose -c = 2*a - 4346. Is a a prime number? True Suppose -2*p - 90 = -3*p. Is 236/(-6)*p/(-12) prime? False Suppose -3*s = 0, 9*s - 5*s = n - 8. Let w(h) = 696*h + 1. Let l be w(2). Suppose a - n*a = -l. Is a a composite number? False Let c(i) = -i**2 + 19*i - 20. Let m be c(14). Is m + (-1 + -2 - -6) composite? False Let y = 215 - -116. Is y composite? False Let v(l) = -l**3 - l**2 + 3*l - 1. Let w be v(-3). Is (-6481)/(-3) - (w/6 - 2) composite? False Let t be 489/(-3)*-1 + 0. Let k be 0/(-7) + 2*t. Suppose -2*r + k = 8. Is r prime? False Suppose -x = -2*v - 11673, 5*x + 2*v - 12972 = 45381. Is x a composite number? True Suppose -4*s + s = 9, -h = -5*s - 723. Suppose 3*g + g = h. Suppose 0 = -c - 3*q + 56, -4*c + q + 34 = -g. Is c prime? True Let r(j) be the third derivative of -11*j**4/8 - 2*j**3/3 - 3*j**2. Let o(h) = 65*h + 9. Let v(i) = 3*o(i) + 5*r(i). Is v(3) a prime number? True Let h(j) = -j + 14. Let c be h(6). Suppose 0 = -4*z + c*z - 1676. Is z a prime number? True Let d(s) = 3103*s + 6. Is d(1) a composite number? False Is 8 + (-1)/((-6)/117450) composite? False Suppose -9*b + 12308 = -5*b. Suppose 0 = 4*v - 1527 - b. Is v composite? False Let r(c) = c**2. Let x(i) = 3*i**2 - 12*i + 11. Let b(z) = -2*r(z) + x(z). Let j be b(13). Is j/84 + (-3118)/(-14) a prime number? True Suppose -2*m - 21 = -1287. Is 4/(3 - -1) + -3 + m composite? False Let y be (-4809)/(-6) + (-12)/8. Suppose -5845 - y = -5*u. Suppose -c = 2*c - u. Is c a prime number? True Suppose -3*b = 2*l - 19, 0 = 3*b + 5*l - 23 - 2. Suppose -4366 = -b*y - 801. Is y composite? True Suppose 282*q = 285*q + 18. Is 683*6*(-1)/q a prime number? True Suppose -4*d + 3183 = -7*d. Let a = -414 - d. Is a a composite number? False Let t(y) = 107*y**3 + 2*y**2 - y. Let v be t(1). Let u be 2 + (-2 - -3) + v. Suppose -2*z = -493 + u. Is z a prime number? True Let d(o) = o**2 - 3*o + 14. Let s be d(3). Is (s - 1)/((-3)/(-321)) prime? False Let k(w) be the second derivative of -1/20*w**5 + 7/6*w**4 + 0 - 5/6*w**3 + w**2 - 4*w. Is k(13) composite? True Let h(q) = 22*q**3 + q**2 + 4*q + 5. Let s be h(5). Suppose -4*w + 0*w = -s. Suppose 2*n = 4*v - 1234, 3*v - 4*n - w = 233. Is v a composite number? False Let y be -5*1/((-5)/(-178)). Let t = -81 - y. Is t a prime number? True Suppose 5*j = -3*b - 72, 4*b = -5*j + 3*j - 26. Let p(c) = 35*c**2 + 24*c - 16. Is p(j) a prime number? True Let m(p) = p + 1. Let k(v) = -30*v**2 - 5*v - 6. Let l(o) = -k(o) - 3*m(o). Suppose 0 = 4*t - j + 15, -t = -4*j + 14 + 1. Is l(t) a prime number? False Let r(l) = -2*l**3 - 3*l**2 + 4*l - 2. Let i be r(-4). Suppose 3*d + 3*g + 2 = 8, -30 = 5*d - 5*g. Is i/10*(7 + d) a composite number? False Let u(x) = 224*x**2 + 9*x + 32. Is u(-3) prime? False Let v = -11 + 16. Is (-4)/30*-3 - (-3363)/v a composite number? False Let d(r) = 909*r - 32. Is d(1) prime? True Let d(g) = -g**3 - 7*
{ "pile_set_name": "DM Mathematics" }
and -71/9. 1062 What is the common denominator of -40/9 and -55/6? 18 Calculate the least common multiple of 190 and 1170. 22230 What is the common denominator of -57/55 and -54/25? 275 Find the common denominator of -79/174 and -29/18. 522 What is the least common multiple of 3953 and 531? 35577 Calculate the common denominator of -39/5504 and -101/48. 16512 What is the least common multiple of 20 and 60? 60 Calculate the common denominator of 1/15 and 62/27. 135 Calculate the common denominator of -29/514 and 71/9. 4626 What is the common denominator of 103/196 and 73/40? 1960 Calculate the lowest common multiple of 27 and 36. 108 Calculate the common denominator of 113/20 and -173/150. 300 Calculate the least common multiple of 1676 and 44. 18436 Calculate the common denominator of -73/456 and -29/8. 456 What is the least common multiple of 5014 and 218? 5014 Find the common denominator of 9/4 and 101/180. 180 Calculate the lowest common multiple of 144 and 3762. 30096 What is the least common multiple of 6 and 129? 258 Find the common denominator of 73/30 and -2/39. 390 Calculate the smallest common multiple of 160 and 44. 1760 Calculate the lowest common multiple of 748 and 14. 5236 What is the lowest common multiple of 24 and 468? 936 What is the common denominator of -1/404 and 79/3636? 3636 What is the common denominator of 79/720 and 31/80? 720 Calculate the common denominator of -79/399 and 121/36. 4788 What is the smallest common multiple of 9 and 12? 36 What is the lowest common multiple of 26 and 208? 208 Calculate the lowest common multiple of 54 and 522. 1566 Find the common denominator of -27/25 and -7/45. 225 Find the common denominator of 101/12 and -107/6816. 6816 What is the common denominator of -83/320 and -115/112? 2240 Find the common denominator of 101/30 and -89/620. 1860 What is the common denominator of -68/129 and 71/27? 1161 What is the least common multiple of 35 and 130? 910 Find the common denominator of -67/44 and 119/18. 396 Calculate the smallest common multiple of 507 and 1. 507 Calculate the common denominator of 77/2208 and 133/96. 2208 Find the common denominator of -35/117 and -137/1170. 1170 What is the lowest common multiple of 5 and 403? 2015 Calculate the common denominator of -41/192 and -58/219. 14016 What is the smallest common multiple of 42 and 24? 168 Calculate the smallest common multiple of 6 and 230. 690 What is the common denominator of -97/12 and 107/6? 12 Calculate the smallest common multiple of 100 and 300. 300 Calculate the common denominator of 107/24 and -11/18. 72 Find the common denominator of -157/66 and 35/174. 1914 Find the common denominator of 109/18 and 151/54. 54 Find the common denominator of 9/347 and 6/11. 3817 Calculate the common denominator of 65/32 and -9/110. 1760 Calculate the common denominator of 17/80 and 113/80. 80 Find the common denominator of 53/8 and 123/20. 40 Calculate the common denominator of -89/75 and -13/155. 2325 What is the least common multiple of 8 and 4017? 32136 What is the least common multiple of 213 and 60? 4260 Calculate the smallest common multiple of 318 and 282. 14946 What is the smallest common multiple of 2 and 28887? 57774 Find the common denominator of -19/24 and 149/84. 168 Find the common denominator of -49/30 and 62/231. 2310 Find the common denominator of -53/9 and 33/514. 4626 Find the common denominator of -179/90 and -37/6690. 20070 Calculate the lowest common multiple of 36 and 250. 4500 Calculate the least common multiple of 1 and 86. 86 Calculate the common denominator of 95/1338 and 7/8. 5352 What is the lowest common multiple of 660 and 176? 2640 Calculate the least common multiple of 7271 and 661. 7271 What is the common denominator of 7/10 and 19/38987? 389870 Calculate the lowest common multiple of 108 and 432. 432 Find the common denominator of 47/51 and 37/357. 357 Find the common denominator of -13/4 and 1/172. 172 What is the least common multiple of 195 and 18? 1170 Calculate the common denominator of 86/315 and 92/495. 3465 Calculate the least common multiple of 8 and 14. 56 Calculate the smallest common multiple of 15 and 4854. 24270 Find the common denominator of -29/3 and -16/39. 39 What is the common denominator of -14/3 and 125/3972? 3972 What is the smallest common multiple of 184 and 104? 2392 Calculate the lowest common multiple of 168 and 231. 1848 Calculate the common denominator of -43/24 and -83/1996. 11976 Calculate the common denominator of 77/596 and -93/596. 596 Calculate the common denominator of -77/172 and -83/16. 688 Calculate the common denominator of -123/80 and -169/1200. 1200 What is the least common multiple of 36 and 84? 252 Calculate the common denominator of -115/96 and 31/32. 96 Calculate the smallest common multiple of 72 and 24. 72 Calculate the smallest common multiple of 3725 and 50. 7450 What is the smallest common multiple of 24 and 9? 72 Calculate the common denominator of -57/5 and -43/54. 270 Calculate the common denominator of -143/2700 and 67/270. 2700 Calculate the lowest common multiple of 207 and 207. 207 What is the least common multiple of 230 and 10? 230 What is the common denominator of 83/6 and 29/1338? 1338 What is the common denominator of -37/782 and 63/184? 3128 Find the common denominator of -41/26 and 17/8. 104 What is the common denominator of -7/4 and 9/103? 412 Calculate the least common multiple of 7002 and 6224. 56016 What is the common denominator of 101/850 and 5/102? 2550 What is the least common multiple of 24 and 1407? 11256 Calculate the least common multiple of 7020 and 3510. 7020 Calculate the lowest common multiple of 860 and 1290. 2580 Calculate the common denominator of 32/9 and 23/640. 5760 What is the lowest common multiple of 5 and 68? 340 What is the smallest common multiple of 2120 and 1696? 8480 Calculate the least common multiple of 85 and 187. 935 Find the common denominator of -74/207 and 23/54. 1242 What is the common denominator of 141/2530 and 31/3910? 43010 Calculate the common denominator of -83/198 and -29/44. 396 What is the least common multiple of 7 and 116? 812 Calculate the least common multiple of 6 and 1647. 3294 Calculate the smallest common multiple of 57 and 456. 456 What is the least common multiple of 2494 and 6? 7482 What is the common denominator of -34/27 and 55/12? 108 Calculate the common denominator of 64/1179 and 81/262. 2358 Find the common denominator of 133/72 and 1/30. 360 Find the common denominator of 107/200 and -161/120. 600 What is the common denominator of 131/90 and -11/54? 270 Calculate the common denominator of -83/74 and -119/36. 1332 What is the common denominator of 7/5 and -47/90? 90 Calculate the smallest common multiple of 12 and 31. 372 Calculate the least common multiple of 11 and 2294. 25234 Find the common denominator of 79/12 and 71/112. 336 Calculate the lowest common multiple of 29 and 635. 18415 What is the least common multiple of 775 and 186? 4650 What is the lowest common multiple of 45 and 5? 45 What is the least common multiple of 56 and 126? 504 Find the common denominator of 119/18 and 113/90. 90 Calculate the common denominator of -29/20 and -13/2264. 11320 What is the common denominator of 55/51 and 70/153? 153 What is the least common multiple of 49 and 49? 49 Calculate the smallest common multiple of 570 and 45. 1710 What is the common denominator of 17/110 and -101/990? 990 What is the common denominator of 29/14 and -32/161? 322 Calculate the common denominator of -99/4 and -107/56. 56 Calculate the lowest common multiple of 5 and 1164. 5820 Calculate the lowest common multiple of 640 and 4. 640 What is the common denominator of 119/20 and 53/1460? 1460 Calculate the smallest common multiple of 126 and 1836. 12852 What is the smallest common multiple of 117 and 312? 936 Calculate the common denominator of 37/180 and 34/165. 1980 Calculate the common denominator of 16/47 and -4/329. 329 What is the common denominator of -5/391 and 4/253? 4301 What is the smallest common multiple of 1148 and 128? 36736 Calculate the common denominator of 95/86 and 6/301. 602 What is the lowest common multiple of 150 and 45? 450 What is the lowest common multiple of 190 and 1240? 23560
{ "pile_set_name": "DM Mathematics" }
and -29/1309823? 2619646 What is the common denominator of 117/2282 and 91/29014? 203098 What is the smallest common multiple of 10922600 and 11? 120148600 Find the common denominator of -23/110 and -163/346470. 3811170 What is the common denominator of 137/12 and 131/588? 588 Find the common denominator of -41/256360 and -107/128180. 256360 What is the common denominator of -22/4865 and -77/75060? 525420 What is the common denominator of -35/12584 and 131/468? 113256 What is the lowest common multiple of 3 and 42672? 42672 Calculate the common denominator of 47/30652 and 59/33756. 2666724 Calculate the least common multiple of 344874 and 11. 3793614 Calculate the common denominator of -23/9025 and 2. 9025 Calculate the common denominator of 55/4326 and 143/58092. 406644 What is the lowest common multiple of 111118 and 63496? 444472 Calculate the lowest common multiple of 6 and 1831602. 1831602 Calculate the lowest common multiple of 54808 and 96968. 1260584 Calculate the smallest common multiple of 15642 and 285822. 3144042 Calculate the least common multiple of 14040 and 7644. 687960 Find the common denominator of -34/621 and -47/10695. 96255 Find the common denominator of 127/123000 and -161/30750. 123000 Calculate the common denominator of 65/5376 and -113/131712. 263424 Find the common denominator of 179/1290 and -127/31820. 95460 Find the common denominator of -197/87120 and 15/32. 174240 Calculate the common denominator of 11/16 and 69/160. 160 Calculate the lowest common multiple of 455 and 18018. 90090 Calculate the lowest common multiple of 21 and 6081. 42567 What is the least common multiple of 40150 and 250? 200750 What is the smallest common multiple of 5655 and 552885? 7187505 Calculate the least common multiple of 240555 and 64148. 962220 What is the smallest common multiple of 70551 and 33? 776061 What is the common denominator of -59/213270 and -97/127962? 639810 What is the common denominator of 61/6006 and 107/312? 24024 Calculate the least common multiple of 10480 and 524. 10480 Calculate the lowest common multiple of 29076 and 43614. 87228 Calculate the common denominator of 23/4020 and -85/402. 4020 Calculate the least common multiple of 47028 and 204. 799476 What is the common denominator of 61/257205 and -58/154323? 771615 Calculate the least common multiple of 1437 and 35598. 17051442 Calculate the smallest common multiple of 2 and 26672. 26672 Calculate the least common multiple of 29070 and 340. 58140 Find the common denominator of -55/51184 and 19/6398. 51184 Calculate the common denominator of 61/4728 and -97/576. 113472 What is the smallest common multiple of 159481 and 227830? 1594810 Find the common denominator of -4/765 and -75/1042. 797130 What is the least common multiple of 518908 and 61048? 1037816 What is the lowest common multiple of 768 and 1059? 271104 Find the common denominator of -25/938 and -24/2737. 366758 What is the lowest common multiple of 16606 and 13110? 249090 Calculate the least common multiple of 112497 and 5357. 112497 Calculate the least common multiple of 935631 and 12. 3742524 Find the common denominator of 83/120 and 99/13240. 39720 Calculate the smallest common multiple of 1350 and 115500. 1039500 Calculate the least common multiple of 12 and 249. 996 Calculate the common denominator of 29/42060 and -109/4206. 42060 What is the least common multiple of 435 and 2523? 12615 Calculate the common denominator of 15/1319 and -37/14509. 14509 Calculate the common denominator of 169/1680 and -41/25200. 25200 What is the lowest common multiple of 9180 and 14280? 128520 Find the common denominator of -71/519744 and -101/866240. 2598720 What is the common denominator of 71/6342 and 85/24? 25368 What is the least common multiple of 25848 and 20? 129240 Calculate the least common multiple of 18 and 141573. 849438 What is the lowest common multiple of 31155 and 2010? 62310 Calculate the least common multiple of 224672 and 80. 1123360 What is the smallest common multiple of 14740 and 75? 221100 What is the least common multiple of 27 and 174513? 1570617 Find the common denominator of -13/23120 and -41/3890. 8993680 Calculate the common denominator of -109/2002 and -85/1354892. 17613596 Calculate the lowest common multiple of 690382 and 197252. 1380764 Calculate the common denominator of 93/279008 and -83/279008. 279008 Find the common denominator of -15/22 and -17/16506. 181566 Find the common denominator of -19/102992 and -3/3608. 1132912 Calculate the least common multiple of 6119 and 45365. 1315585 Calculate the smallest common multiple of 24242 and 14. 169694 Find the common denominator of -88/135 and 187/375510. 3379590 What is the smallest common multiple of 407 and 91289? 3377693 Calculate the common denominator of -49/1431 and -32/12561. 113049 What is the lowest common multiple of 1305 and 19343? 870435 Find the common denominator of 173/40290 and 59/443190. 443190 Calculate the common denominator of -52/135705 and -69/316645. 949935 Calculate the least common multiple of 270 and 31870. 860490 Calculate the lowest common multiple of 8121 and 29777. 89331 Find the common denominator of -131/144 and 23/8160. 24480 What is the smallest common multiple of 1168975 and 27071? 12858725 Find the common denominator of 125/84696 and 4/10587. 84696 Calculate the smallest common multiple of 1836 and 124. 56916 Find the common denominator of -95/16 and 81/6160. 6160 Find the common denominator of 103/42 and -33/1316. 3948 What is the common denominator of -59/62280 and 121/9750? 20241000 What is the common denominator of 91/23680 and 143/666? 213120 What is the common denominator of 11/48 and 35/28604? 343248 What is the common denominator of 161/91620 and 64/2545? 91620 What is the common denominator of -14/155 and 21/21731? 108655 What is the lowest common multiple of 24 and 169707? 1357656 Find the common denominator of -17/151392 and -91/56772. 454176 What is the common denominator of -107/26574 and -11/9? 79722 Calculate the lowest common multiple of 1066 and 2626. 107666 What is the common denominator of 47/4341 and -103/677196? 677196 What is the smallest common multiple of 231 and 2898? 31878 Calculate the common denominator of 139/1140 and 101/18810. 37620 What is the common denominator of -53/2621443 and 91/6? 15728658 What is the lowest common multiple of 392 and 44100? 88200 Calculate the common denominator of 137/243456 and 37/432. 2191104 Calculate the common denominator of -43/30288 and -5/30288. 30288 What is the common denominator of 11/9 and -59/16535? 148815 What is the least common multiple of 128 and 49926? 3195264 Find the common denominator of 143/48 and 55/177216. 177216 What is the smallest common multiple of 10 and 36120? 36120 Calculate the smallest common multiple of 320140 and 120. 1920840 Calculate the common denominator of 129/50960 and 23/584080. 7593040 Find the common denominator of -35/486 and 1/972. 972 Find the common denominator of -151/207504 and -107/3930. 1037520 What is the least common multiple of 96 and 70356? 562848 Find the common denominator of -39/34928 and 23/20. 174640 Calculate the common denominator of -4/3545 and 25/86498. 432490 What is the least common multiple of 443200 and 30? 1329600 What is the common denominator of -16/573 and 49/1836? 350676 Find the common denominator of 161/9090 and -19/106050. 318150 Calculate the common denominator of -97/3438 and 11/32058. 6123078 Find the common denominator of 99/2433218 and -103/10. 12166090 What is the common denominator of 7/16306 and 55/18? 146754 Calculate the lowest common multiple of 2606 and 274933. 549866 Calculate the common denominator of -13/1969 and 103/1527944. 1527944 What is the smallest common multiple of 96 and 17376? 17376 Calculate the common denominator of -11/4 and -73/732184. 732184 What is the smallest common multiple of 131 and 4323? 4323 Calculate the least common multiple of 11858 and 15246. 106722 Calculate the lowest common multiple of 14098 and 6042. 42294 Find the common denominator of 9/2645 and -33/17986. 89930 Calculate the common denominator of 83/10248 and 173/58926. 235704 Calculate the smallest common multiple of 18 and 2335490. 21019410 Calculate the least co
{ "pile_set_name": "DM Mathematics" }
6*p + 6. What is x(-8)? 22 Let i(c) = 10*c + 6. What is i(-7)? -64 Let r(c) = -6*c**2 - 2*c - 1. Calculate r(2). -29 Let u(x) = -8*x + 27. Give u(7). -29 Let h(d) = -d**3 - 6*d**2 + 29*d + 3. Give h(-9). -15 Let n(x) = 3*x + 7. Calculate n(-8). -17 Let l(c) = -c**2 + 5. Give l(-4). -11 Let h(l) = -4*l + 15. Give h(4). -1 Let n(h) = -151*h - 1364. Calculate n(-9). -5 Let b(v) = v**3 + 3*v**2 - 8*v + 5. Give b(-5). -5 Let y(o) = o**2 + 13*o - 26. What is y(-18)? 64 Let p(m) = m + 14. Give p(-16). -2 Let d(b) = -b**2 - 6*b - 1. Give d(-5). 4 Let o(i) = -i**2 - 9*i - 2. Calculate o(-9). -2 Let j(s) = s**3 - 10*s**2 - 13*s + 19. Give j(11). -3 Let k(i) = 15*i - 43. Calculate k(3). 2 Let t(a) = -4*a**3 + 3*a**2 + 4*a + 2. Calculate t(-2). 38 Let v(p) = 2*p**2 + 14*p - 11. Determine v(-8). 5 Let s(w) = 47*w**2 - w + 1. Calculate s(1). 47 Let c(j) = -j**2 - 8*j + 1. What is c(-9)? -8 Let s(x) = -10*x + 29. Calculate s(3). -1 Let v(x) = x - 22. What is v(6)? -16 Let a(z) = -14*z - 35. What is a(-2)? -7 Let h(v) = -v**2 + 3*v - 4. Give h(4). -8 Let b(c) = -2*c**2 + 3*c. What is b(2)? -2 Let s(n) = n**3 + n**2 - n + 8. Calculate s(0). 8 Let k(s) = s**3 - 2*s**2 - 8*s + 3. What is k(4)? 3 Let n(u) = -5*u + 22. What is n(8)? -18 Let u(o) = o**2 + 2*o - 32. Give u(-5). -17 Let t(f) = f**3 + 8*f**2 - 9*f + 9. Calculate t(-9). 9 Let t(x) = x**3 + 6*x**2 - 6*x + 10. Determine t(-7). 3 Let s(z) = -z**2 - 7*z + 13. What is s(-9)? -5 Let d(n) = 6*n + 5. What is d(-2)? -7 Let i(m) = m**2 + 2*m + 16. Determine i(0). 16 Let a(u) = -u**3 - 18*u**2 + 22*u + 32. Give a(-19). -25 Let u(i) = -2*i**2 + 16*i - 8. Determine u(7). 6 Let u(c) = 4*c**2 + 78*c - 28. Determine u(-20). 12 Let t(w) = w**2 - w - 7. Calculate t(3). -1 Let p(c) = -c**3 - 7*c**2 - 6*c - 7. What is p(-6)? -7 Let b(i) = -i**2 - 31*i - 124. Determine b(-26). 6 Let d(s) = s**3 - 4*s**2 + 3*s - 3. Calculate d(3). -3 Let p(a) = a**3 + 4*a**2 - 4*a - 15. Give p(-5). -20 Let v(q) = 16*q - 1. Determine v(2). 31 Let z(h) = -h**2 - h + 7. What is z(0)? 7 Let p(a) = a**3 + 27*a**2 - 7*a + 9. Calculate p(-27). 198 Let q(j) = j**2 + 7*j + 1. Give q(-2). -9 Let u(s) = 2*s**2 - 49*s - 21. Calculate u(25). 4 Let z(f) = -11*f**2 - f + 1. Give z(1). -11 Let j(l) = l**2 - 4*l - 74. Give j(11). 3 Let h(q) = q**2 - 18*q + 55. What is h(15)? 10 Let x(j) = 2*j + 29. What is x(-15)? -1 Let c(x) = x**3 + 8*x**2 + 3*x - 15. Calculate c(-8). -39 Let r(c) = -c**2 - 5*c - 1. Determine r(-6). -7 Let i(b) = 2*b + 9. Determine i(-3). 3 Let c(x) = -4*x + 16. What is c(6)? -8 Let z(x) = 2*x**2 - 43*x + 150. Calculate z(17). -3 Let a(r) = -10*r**2 - r. Calculate a(-1). -9 Let b(y) = y**2 - 7*y + 12. Calculate b(4). 0 Let k(a) = 2*a - 27. Calculate k(16). 5 Let r(w) = 2*w**3 - 4*w**2 - 18*w + 48. Determine r(2). 12 Let a(j) = -25*j - 16. Determine a(1). -41 Let g(o) = o**3 - 8*o**2 - 8*o + 7. Calculate g(9). 16 Let t(b) = -9*b**2 - 2. Give t(0). -2 Let a(z) = z**3 - 34*z**2 + 29*z + 122. What is a(33)? -10 Let p(m) = -164*m - 169. Calculate p(-1). -5 Let r(q) = 2*q + 3. Give r(-9). -15 Let v(z) = -z**2 - 3*z - 6. What is v(-5)? -16 Let y(u) = -u**3 - 13*u**2 - 32*u - 25. Determine y(-10). -5 Let p(x) = x + 3. Give p(3). 6 Let b(a) = -a**2 + 10*a + 87. What is b(16)? -9 Let o(t) = -17*t**3 - t**2 - 4*t + 4. Calculate o(1). -18 Let b(j) = j**2 + 12*j - 15. Calculate b(-7). -50 Let l(u) = -2*u - 3. Give l(-5). 7 Let d(r) = 8*r - 34. Calculate d(0). -34 Let g(m) = m - 25. What is g(6)? -19 Let j(w) = w**3 + 24*w**2 - 29*w - 23. Calculate j(-25). 77 Let m(f) = -2*f + 3. Calculate m(1). 1 Let w(k) = -k - 6. Give w(-5). -1 Let i(w) = -13*w + 8. What is i(2)? -18 Let m(u) = u**3 + 5*u**2 - 2*u - 23. Determine m(-7). -107 Let y(t) = -7*t**3 - t**2 - 3*t - 3. What is y(-1)? 6 Let j(k) = -2*k**2 - 9*k - 20. Calculate j(-2). -10 Let u(l) = l**3 + 6*l**2 + l + 4. Give u(-6). -2 Let f(c) = -2*c + 64. Calculate f(9). 46 Let n(w) = -w**3 - 34*w**2 + 34*w - 46. Calculate n(-35). -11 Let d(i) = i**3 - 5*i**2 - 27*i + 113. Calculate d(4). -11 Let u(p) = 24*p + 95. What is u(-5)? -25 Let n(d) = 6*d**2 - 6*d - 7. What is n(-2)? 29 Let a(n) = 9*n - 33. What is a(16)? 111 Let x(m) = m**3 + 7*m**2 - 2*m - 10. Calculate x(-7). 4 Let d(c) = 7*c**2 - 55*c. What is d(8)? 8 Let c(k) = k**3 - k + 4. Determine c(0). 4 Let a(q) = -2*q**2 + 11*q + 78. What is a(-4)? 2 Let v(j) = j**3 + 19*j**2 + 34*j + 3. Determine v(-17). 3 Let c(d) = d**2 - 5*d + 2. What is c(8)? 26 Let r(q) = -q**3 - 25*q**2 + 34*q + 203. Give r(-26). -5 Let f(p) = 39*p**2 + p. Give f(1). 40 Let n(s) = s**2 - 23. Determine n(4). -7 Let n(a) = a**2 + 10*a + 30. What is n(-5)? 5 Let n(b) = 11*b - 46. What is n(3)? -13 Let x(m) = -47*m + 138. Determine x(3). -3 Let h(q) = q**3 - q + 5. Calculate h(3). 29 Let t(y) = -y**3 + 18*y**2 - 30*y - 23. Calculate t(16). 9 Let r(v) = -31*v**3 - 2*v + 1. Give r(1). -32 Let b(g) = 2*g**2 + 35*g - 45. Determine b(-19). 12 Let p(g) = -g**3 - 26*g**2 - 29*g - 87. What is p(-25)? 13 Let d(g) = g**2 - 11*g + 52. What is d(5)? 22 Let i(z) = -24*z + 447. What is i(18)? 15 Let w(b) = -b + 7. Give w(3). 4 Let b(s) = -s**3 + 8*s**2 - 15*s + 9. What is b(6)? -9 Let z(h) = h**2 + 11*h + 10. What is z(-10)? 0 Let c(x) = 2*x**2 - 4*x. What is c(6)? 48 Let u(f) = 6*f - 3. What is u(-4)? -27 Let r(g) = -3*g + 21. What is r(6)? 3 Let y(x) = 2*x**2 - 5*x + 5. Determine y(2). 3 Let w(r) = -8*r + 5. Determine w(4). -27 Let p(j) = -j**3 - 11*j**2 + 9*j - 2. Give p(-12). 34 Let v(z) = -z**3 - 6*z**2 + 2*z + 12. Give v(-6). 0 Let l(m) = 2*m**2 + 6*m - 5. What is l(1)? 3 Let b(y) = y**3 + 11*y**2 + 25*y - 20. Calculate b(-7). 1 Let u(h) = -h**2 - 3*h + 19. Determine u(-6). 1 Let w(q) = -q**3 + 21*q**2 + 25*q - 73. Determine w(22). -7 Let j(s) = -s**3 + 18*s**2 + 2*s - 30. Determine j(18). 6 Let z(v) = -v**3 - v**2 + 4*v - 15. Calculate z(0). -15 Let s(i) = -i + 2. Give s(-5). 7 Let p(n) = -4*n - 12. Give p(-8). 20 Let s(d) = -3*d - 31. Calculate s(-13). 8 Let x(y) = 14*y + 675. Give x(-47). 17 Let i(c) = -c**3 + 7*c**2 + 8*c - 17. Give i(8). -17 Let n(a) = a**3 - 12*a**2 + 11*a + 8. Calculate n(11). 8 Let d(k) = 2*k - 12. What is d(-3)? -18 Let t(i) = -6*i - 1. Calculate t(5). -31 Let o(f) = 4*f**2 + 15*f - 34. Calculate o(-8). 102 Let w(d) = -63*d - 10. Calculate w(-2). 116 Let g(m) = -m + 11. Give g(9). 2 Let g(q) = -27*q - 41. Give g(-1). -14 Let u(o) = o**2 + 2*o - 12. Calculate u(-6). 12 Let r(i) = i**3 - 7*i**2 + 8*i + 10. What is r(5)? 0 Let f(x) = 9*x + 24. Determine f(-3). -3 Let b(t) = 3*t - 74. Calculate b(26). 4 Let i(u) = 2*u**2 - 40*u + 41. Determine i(19). 3 Let k(s) = -s + 6. Determine k(0). 6 Let r(a) = -12*a - 27. Determine r(-11). 105 Let c(t) = 4*t**3 + 2*t + 1. Calculate c(-1). -5 Let u(c) = -c + 1. What is u(2)? -1 Let j(g) = -6*g + 1. Determine j(-3). 19 Let h(j) = -j**2 - 49*j - 333. Determine h(-41). -5 Let z(c) = -13*c - 130. Determine z(-10). 0 Let r(x) = 2*x**2 + 39*x + 28. Determine r(-17). -57 Let p(h) = -2*h**2 + 9*h - 19. What is p(6)? -37 Let n(y) = -y**3 - 12*y**2 - 9*y + 19. Give n(-11). -3 Let q(h) = -3*h - 12. Give q(11). -45 Let n(c) = -9*c + 254. Calculate n(28). 2 Let g(l) = -2*l + 11. Give g(6). -1 Let b(y) = -y**2 - 20*y + 437. Determine b(-33). 8 Let w(y) = -y**2 - 3*y + 7. What is w(-5)? -3 Let p(r) = r**3 - 4*r**2 - 10*r - 18. What is p(6)? -6 Let q(z) = 2*z**3 + 24*z**2 + z + 8. What is q(-12)? -4 Let y(b) = -8*b**2 + 63*b + 11. Calculate y(8). 3 Let f(x) = x - 4. Give f(3). -1 Let s(j) = -j**3 - 6*j**2 - 6. Determine s(-5). -31 Let q(x) = -x**2 + 14*x - 38. Determine q(11). -5 Let i(r) = r**2 + 11*r - 12. What is i(-12)? 0 Let y(k) = 11*k + 8. Give y(-4). -36 Let u(y) = -2*y**2 + 14*y - 4. Give u(6). 8 Let f(u) = 5*u + 96. Determine f(-18). 6 Let n(b) = -17*b - 26. Determine n(-1). -9 Let r(k) = -7*k**3 + k**2. Determine r(-1). 8 Let f(i) = -i**2 - 9*i + 20. Calculate f(-9). 20 Let u(x) = -x**2 + 19*x + 39. What is u(21)? -3 Let p(i) = i**3 + i**2 + i + 1. Calculate p(-2). -5 Let i(j) = -7*j + 7. What is i(7)? -42 Let x(y) = y**2 - 2. What is x(-5)? 23 Let v(z) = 7*z + 21. Determine v(19). 154 Let s(x) = x**3 - 7*x**2 + 2*x + 28. Determine s(6). 4 Let m(a) = -a**3 + 7*a**2 + a - 8. Determine m(7). -1 Let u(y) = -y**3 + 25*y**2 + y + 5. De
{ "pile_set_name": "DM Mathematics" }
common denominator of 41/10 and 89/484. 2420 Calculate the common denominator of 25/11 and 133/130. 1430 What is the lowest common multiple of 27 and 18? 54 Calculate the smallest common multiple of 33 and 228. 2508 Find the common denominator of 2/581 and -2/63. 5229 Calculate the common denominator of -23/25 and 41/129. 3225 Calculate the common denominator of -7/40 and -23/80. 80 What is the common denominator of 37/2142 and 56/9? 2142 Find the common denominator of -41/75 and -127/600. 600 Calculate the lowest common multiple of 2229 and 3715. 11145 What is the common denominator of 145/6 and 145/24? 24 Find the common denominator of 95/2424 and -73/4. 2424 What is the smallest common multiple of 9 and 87? 261 Find the common denominator of -7/366 and 143/732. 732 Calculate the lowest common multiple of 36 and 6. 36 Find the common denominator of -44/513 and 13/285. 2565 Calculate the smallest common multiple of 486 and 648. 1944 Calculate the least common multiple of 2484 and 72. 4968 What is the lowest common multiple of 15 and 15? 15 Find the common denominator of -111/44 and 103/24. 264 What is the common denominator of -99/130 and -131/156? 780 Calculate the lowest common multiple of 195 and 30. 390 Calculate the least common multiple of 9 and 247. 2223 Find the common denominator of -123/10 and -61/5205. 10410 Calculate the common denominator of 80/891 and 16/297. 891 Find the common denominator of -137/6 and 16/5463. 10926 Calculate the least common multiple of 60 and 762. 7620 Calculate the smallest common multiple of 64 and 408. 3264 What is the common denominator of -73/16496 and 13/12? 49488 What is the lowest common multiple of 20 and 76? 380 What is the common denominator of -44/69 and 131/30? 690 What is the smallest common multiple of 56 and 56? 56 Calculate the lowest common multiple of 6916 and 3458. 6916 What is the smallest common multiple of 4480 and 448? 4480 What is the least common multiple of 636 and 28? 4452 Calculate the lowest common multiple of 40 and 110. 440 Calculate the smallest common multiple of 117 and 130. 1170 What is the lowest common multiple of 76 and 68? 1292 What is the common denominator of 83/198 and 119/20? 1980 What is the smallest common multiple of 5 and 45? 45 Calculate the smallest common multiple of 836 and 99. 7524 Find the common denominator of 39/595 and -43/170. 1190 Calculate the common denominator of 33/28 and -47/56. 56 Calculate the smallest common multiple of 666 and 48. 5328 Calculate the least common multiple of 4 and 11952. 11952 Calculate the smallest common multiple of 9235 and 55. 101585 What is the common denominator of 61/80 and 37? 80 What is the lowest common multiple of 3435 and 24? 27480 Calculate the common denominator of -61/30 and -88/465. 930 What is the least common multiple of 648 and 6318? 25272 Calculate the least common multiple of 55 and 1840. 20240 What is the smallest common multiple of 90 and 7? 630 Calculate the common denominator of -26/87 and -34/15. 435 What is the least common multiple of 210 and 12? 420 Find the common denominator of -77/12 and 119/132. 132 What is the common denominator of -109/798 and 185/9576? 9576 Calculate the smallest common multiple of 20 and 6. 60 What is the common denominator of -45/34 and 75/74? 1258 What is the least common multiple of 8635 and 50? 86350 Calculate the smallest common multiple of 70 and 110. 770 Find the common denominator of -143/140 and 89/24. 840 Find the common denominator of 77/1700 and -65/56. 23800 What is the smallest common multiple of 10101 and 8658? 60606 What is the least common multiple of 10 and 90? 90 What is the smallest common multiple of 648 and 567? 4536 Find the common denominator of 31/38 and 23/36. 684 What is the least common multiple of 476 and 4? 476 What is the common denominator of -97/308 and 43/168? 1848 Calculate the common denominator of -27/22 and -15/16. 176 What is the least common multiple of 44 and 312? 3432 Calculate the least common multiple of 24 and 24. 24 Calculate the lowest common multiple of 486 and 1134. 3402 Calculate the lowest common multiple of 140 and 2968. 14840 What is the lowest common multiple of 666 and 6438? 19314 What is the common denominator of -8/7533 and 2/15? 37665 What is the smallest common multiple of 8 and 720? 720 What is the least common multiple of 30 and 240? 240 What is the lowest common multiple of 8 and 108? 216 Find the common denominator of 1/130 and 119/10. 130 What is the smallest common multiple of 72 and 4? 72 Calculate the smallest common multiple of 1755 and 1170. 3510 Calculate the common denominator of 35/51 and 161/66. 1122 Find the common denominator of -29/8 and -15/428. 856 What is the common denominator of -113/160 and -133/2880? 2880 Calculate the common denominator of -6/77 and 131/70. 770 What is the common denominator of 48/83 and -45/32? 2656 Calculate the least common multiple of 1764 and 21. 1764 What is the lowest common multiple of 42 and 21? 42 What is the common denominator of 5/288 and -63/44? 3168 What is the smallest common multiple of 27 and 27? 27 Calculate the lowest common multiple of 1048 and 16. 2096 What is the common denominator of 11/25 and -27/880? 4400 What is the common denominator of 125/192 and -137/48? 192 Calculate the common denominator of -47 and -19/533. 533 What is the lowest common multiple of 66 and 60? 660 What is the common denominator of 49/5 and 25/171? 855 Calculate the common denominator of -41/72 and 109/216. 216 What is the smallest common multiple of 136 and 1496? 1496 Calculate the common denominator of -85/12 and -59/580. 1740 Calculate the common denominator of 35/3 and 22/39. 39 Calculate the lowest common multiple of 1071 and 27. 3213 Calculate the least common multiple of 26 and 8. 104 Calculate the common denominator of 7/20 and 81/820. 820 Calculate the common denominator of 79/792 and -79/1188. 2376 Calculate the smallest common multiple of 20 and 3128. 15640 Calculate the smallest common multiple of 18 and 1941. 11646 What is the smallest common multiple of 189 and 240? 15120 Find the common denominator of -17/2475 and -2/225. 2475 Calculate the least common multiple of 847 and 242. 1694 Find the common denominator of 47/51 and 7/66. 1122 Calculate the least common multiple of 2584 and 11. 28424 Find the common denominator of -91/198 and -17/1440. 15840 What is the common denominator of 79/90 and 103/60? 180 Find the common denominator of -43/30 and -121/144. 720 Find the common denominator of 43/11 and -2/11. 11 Calculate the smallest common multiple of 6 and 78. 78 Calculate the common denominator of -109/30 and -107/504. 2520 What is the smallest common multiple of 8 and 368? 368 Find the common denominator of -15/12154 and -53/20. 121540 What is the least common multiple of 5 and 205? 205 What is the smallest common multiple of 25009 and 2? 50018 Find the common denominator of 1/1592 and 73/8955. 71640 Find the common denominator of 53/6390 and -143/60. 12780 What is the common denominator of -121/270 and -121/1842? 82890 Find the common denominator of -34/393 and 143/12. 1572 Calculate the least common multiple of 17 and 14. 238 Calculate the common denominator of -83/18 and 61/54. 54 What is the least common multiple of 16 and 100? 400 Calculate the least common multiple of 187 and 170. 1870 Find the common denominator of -41/3 and 31/631. 1893 Calculate the common denominator of -89/2132 and -59/4. 2132 What is the lowest common multiple of 270 and 105? 1890 Find the common denominator of -17/30 and 23/70. 210 What is the lowest common multiple of 108 and 144? 432 Calculate the common denominator of -73/248 and 97/6. 744 Calculate the common denominator of 109/6396 and 8/3731. 44772 Calculate the common denominator of -107/60 and -61/894. 8940 Find the common denominator of -71/37840 and -103/14. 264880 Calculate the common denominator of 119/930 and 43/5425. 32550 What is the common denominator of -149/72 and -39/16? 144 Calculate the lowest common multiple of 16 and 58. 464 What is the common denominator of 101/10 and -30/77? 770 What is the lowest common multiple of 4 and 94? 188 Calculate the common denominator of 79/12 and 18/55. 660 What is the com
{ "pile_set_name": "DM Mathematics" }
4987645 divided by 154987645? -1 Divide -9680968 by 3014. -3212 What is -458639616 divided by 22208? -20652 Calculate 0 divided by 30222551. 0 -5312976 divided by 17 -312528 What is -425 divided by -8633? 425/8633 What is 903813853 divided by 67? 13489759 What is 4924703 divided by -703529? -7 Divide -1077807 by 3. -359269 Calculate -59145807 divided by 19715269. -3 What is 6857654 divided by 3? 6857654/3 -976 divided by 25454 -488/12727 15023207 divided by -3889 -3863 Divide 4231876 by 384716. 11 7370304 divided by -53408 -138 11334538 divided by 46 246403 What is -74864141 divided by -11? 6805831 -5 divided by 4664061 -5/4664061 -6363552 divided by 3181776 -2 Divide -54763 by 52. -54763/52 Calculate 11 divided by 521114. 1/47374 -816100 divided by -210 81610/21 Calculate -5 divided by 547861. -5/547861 Calculate 32009 divided by -1785. -32009/1785 Calculate 2278105 divided by -59. -2278105/59 Calculate -13 divided by -900555. 13/900555 What is 161585000 divided by 136? 1188125 Calculate 507300 divided by 190. 2670 What is -1422 divided by -6913? 1422/6913 Calculate 1511 divided by -2857. -1511/2857 What is 60 divided by -152444? -15/38111 What is 186 divided by 37648? 93/18824 Calculate 489761 divided by -450. -489761/450 What is -44075746 divided by 1? -44075746 -171581993 divided by -503173 341 What is 63325490 divided by -12665098? -5 93354048 divided by 1476 63248 Divide -8003446 by -1. 8003446 Calculate 1437501669 divided by 3. 479167223 Calculate -287666100 divided by -31962900. 9 5490389 divided by -7 -5490389/7 Calculate 3976668 divided by 441852. 9 -1 divided by -6299520 1/6299520 Divide -301753 by -16. 301753/16 Calculate 19984968 divided by 24. 832707 What is -11182 divided by 464? -5591/232 2 divided by 83303 2/83303 What is 4388172 divided by 2? 2194086 Calculate 17371476 divided by -2692. -6453 What is -1555254 divided by 1? -1555254 -235501872 divided by 4 -58875468 Divide -454 by 216912. -227/108456 Divide -1265235555 by 253047111. -5 What is -4049 divided by -1724? 4049/1724 Divide 1032315 by 5. 206463 Divide -6166762 by 58177. -106 -167888 divided by 3518 -83944/1759 Divide -250 by -59968. 125/29984 Divide 121181904 by 72. 1683082 What is 7601286 divided by 16453? 462 Divide 15916 by -19. -15916/19 Calculate 79737620 divided by -2. -39868810 Divide -57336784 by -3372752. 17 Calculate -610127 divided by 87161. -7 What is 7098533 divided by -6? -7098533/6 Calculate -82557180 divided by 20639295. -4 Calculate -13836464 divided by 919. -15056 -55772825 divided by -5 11154565 Calculate 5 divided by -23345680. -1/4669136 -83636904 divided by 10454613 -8 What is -12558256 divided by 2? -6279128 What is 293857382 divided by -19? -15466178 Divide 917382 by 6. 152897 -297570703 divided by -17504159 17 Divide -182 by 1351093. -182/1351093 2047465384 divided by 4 511866346 Calculate -2 divided by 16392550. -1/8196275 What is 2950 divided by -8376? -1475/4188 What is -10992290 divided by -601? 18290 Divide 2 by -1344686. -1/672343 Calculate 16037966 divided by -3191. -5026 Calculate 120240358 divided by -2268686. -53 Divide -59274374 by -59274374. 1 Divide 630372236 by 157593059. 4 Calculate -1 divided by -2111487. 1/2111487 What is -9861670 divided by -5? 1972334 What is -41584 divided by -7284? 10396/1821 What is -143087 divided by 10? -143087/10 -23974 divided by -1202 11987/601 Divide -8270721 by 18019. -459 -310911174 divided by 63 -4935098 What is 1 divided by 1137244? 1/1137244 Divide 27908730 by 4335. 6438 384560847 divided by -5379 -71493 What is 530 divided by 475870? 53/47587 -20818678 divided by 4 -10409339/2 Divide 1282216 by 766. 641108/383 What is -3985758 divided by 284697? -14 What is -3553284 divided by 888321? -4 What is 20 divided by 3785861? 20/3785861 7741440 divided by -63 -122880 Calculate -2401 divided by 9638. -2401/9638 Divide 30392682 by 5. 30392682/5 What is 207830804 divided by -41? -5069044 Calculate -148504911 divided by -124899. 1189 What is 120158190 divided by 1? 120158190 Divide 5 by -3783077. -5/3783077 3862574 divided by 4 1931287/2 What is 1599294867 divided by 573841? 2787 What is -50870784 divided by -64? 794856 Calculate 485031636 divided by 276. 1757361 Calculate 54945152 divided by 128. 429259 -1354 divided by -13173 1354/13173 -7183184 divided by 26216 -274 Divide -41995102 by 8257. -5086 -4495482 divided by -499498 9 What is 60933484 divided by -17291? -3524 Calculate -41278484 divided by -26. 1587634 -211 divided by 11313 -211/11313 Calculate -300740890 divided by -5. 60148178 Calculate 1973 divided by -34935. -1973/34935 Divide 85817396 by -14. -6129814 What is -16108820 divided by 35404? -455 Calculate -891905 divided by 2. -891905/2 Calculate -41791932 divided by -1160887. 36 Calculate 45184 divided by 15. 45184/15 What is 849172432 divided by -16? -53073277 Calculate 108777303 divided by 1077003. 101 Calculate -442027648 divided by -4. 110506912 -10423232 divided by 184 -56648 Divide 15392816 by 3848204. 4 140064995 divided by 73835 1897 Calculate 17891342 divided by 2. 8945671 Calculate -39856696 divided by 24482. -1628 Calculate -2324757 divided by -21. 774919/7 3521295 divided by -9 -391255 -68460434 divided by -14 4890031 What is 907 divided by 511952? 907/511952 Divide 47893820 by 4. 11973455 Calculate 244569618 divided by -122. -2004669 Calculate -22849120 divided by -112. 204010 Calculate -10298160 divided by -8. 1287270 What is 12916808 divided by -4? -3229202 What is -5669909 divided by -7? 809987 What is 29100500 divided by -12100? -2405 Calculate -127236648 divided by -434. 293172 What is 20958 divided by -4140? -3493/690 What is -42349352 divided by 21174676? -2 4 divided by -36659038 -2/18329519 Calculate -1 divided by 514360. -1/514360 Calculate 336210 divided by -3202. -105 -876 divided by 3993 -292/1331 What is 37674234 divided by -53667? -702 Divide -210 by 12103. -30/1729 Divide 2360655 by -157377. -15 Divide 138 by -60048. -23/10008 -114640715 divided by 7 -16377245 -4516641 divided by -7 4516641/7 -11926 divided by 2328 -5963/1164 14027514 divided by 111 126374 Divide 25687965 by -8. -25687965/8 Calculate -456111942 divided by -901407. 506 Divide -104408583 by -34802861. 3 158761861 divided by -9338933 -17 Divide 1599367 by 5. 1599367/5 Calculate 63509 divided by -20. -63509/20 135844 divided by 158 67922/79 Calculate 906 divided by 13779. 302/4593 What is -9544554 divided by -117834? 81 What is 167595500 divided by -710? -236050 What is 184161 divided by 109? 184161/109 Calculate -6 divided by -115937. 6/115937 What is 19053 divided by -1577? -19053/1577 What is -17816288 divided by -15? 17816288/15 2 divided by 235232190 1/117616095 -7987923 divided by 7987923 -1 Calculate 13755488 divided by 1636. 8408 Divide 1818 by 13163. 1818/13163 Divide 45384290 by -3. -45384290/3 834301665 divided by 9 92700185 -26048457 divided by 4 -26048457/4 What is 8574966 divided by 5? 8574966/5 What is 382382980 divided by -532? -718765 Divide 1125094 by -862. -562547/431 Divide -63885 by -147. 21295/49 Divide -33632011 by 6. -33632011/6 Divide 1515832 by 6. 757916/3 Calculate 504801036 divided by 126200259. 4 What is -819980 divided by -14? 58570 What is -5 divided by -21256728? 5/21256728 Divide -6159240 by -38020. 162 What is -38709190 divided by -13? 2977630 What is -31802568 divided by -2650214? 12 What is -101525529 divided by 33841843? -3 Divide 37509 by 26531. 37509/26531 Calculate 3048682 divided by 31109. 98 Divide 598712 by -536. -1117 Divide 4303 by 6519. 4303/6519 What is -23042 divided by -120? 11521/60 Calculate -12401964 divided by -6200982. 2 What is 5158725 divided by 11? 468975 Calculate -20671886 divided by 35. -20671886/35 Divide -1611353865 by 3. -537117955 4124816 divided by -6 -2062408/3 Calculate 34622 divided by 425. 34622/425 Calculate -19 divided by -16840. 19/16840 Calculate 7317 divided by -392. -7317/392 Calculate -86906720 divided by -359. 242080 -225400192 divided by -14087512 16 Calculate 30 divided by 374641. 30/374641 What is -50177364 divided by -6? 8362894 -1866145 divided by 5 -373229 Calculate -116423 divided by 21. -116423/21 What is 6303825 divided by -140085? -45 Calculate -2 divided by -9677550. 1/4838775 Divide 41262345 by 4365. 9453 D
{ "pile_set_name": "DM Mathematics" }
3*t**2 wrt q? 12*q**2 + 184631856*q*t**2 What is the second derivative of 60131*t**2*w**2 - 4*t**2*w - 171*t**2 + 2*t*w**2 - 39*t*w - 8*w**2 + 20 wrt w? 120262*t**2 + 4*t - 16 What is the second derivative of -5637690*l**2 - 353896*l - 3 wrt l? -11275380 What is the third derivative of q**6 - 6705396*q**5 + 2*q**3 + 107*q**2 + 9463*q wrt q? 120*q**3 - 402323760*q**2 + 12 Find the first derivative of -6241302*t - 8316017 wrt t. -6241302 What is the derivative of -1196050*f*g*x - 23*f*g + 382412*f*x - f + 2*x + 15 wrt g? -1196050*f*x - 23*f What is the second derivative of -2749*b**2*s**2 - 3*b**2*s - 3219*b**2 + 363*b*s**2 + b*s - 3*b - 3*s**2 + s - 6044 wrt b? -5498*s**2 - 6*s - 6438 Find the second derivative of 405455*s**2*z**2 - 10*s**2*z - 22*s**2 - 2*s*z**2 + 51*s*z - 2650038*z**2 wrt s. 810910*z**2 - 20*z - 44 Find the second derivative of 93645500*i**2*x**2 + i**2 + 18*i*x + 58*x - 19 wrt x. 187291000*i**2 Find the second derivative of -9895001*i**2*z - 44*i - 60*z + 650 wrt i. -19790002*z Find the second derivative of 2*a**3*q**2 - 2260014*a**2*q**3 - 3*a*q**3 + 43*a*q**2 + 7870*q**3 + q**2 wrt a. 12*a*q**2 - 4520028*q**3 What is the derivative of 107*h**2*n - 40*h**2*q - 223*h**2 - 7641*h*n*q + 11*h*q + q + 9 wrt n? 107*h**2 - 7641*h*q Find the second derivative of -12862*f**4 - 8158*f**3 + 3*f**2 + 1227577*f + 4 wrt f. -154344*f**2 - 48948*f + 6 What is the third derivative of -6051*t**6 + 655*t**5*x + 38*t**2*x + 59*t**2 - 2*t*x - 530*x wrt t? -726120*t**3 + 39300*t**2*x What is the third derivative of 8428078*u**5 + 6*u**2 - 1196674? 505684680*u**2 What is the first derivative of -160849793*n + 79549647 wrt n? -160849793 Differentiate -436137264*c*y - 487102434*c with respect to y. -436137264*c Find the second derivative of -220645*k**5 + 248*k**2 + 1993642*k - 8. -4412900*k**3 + 496 Find the third derivative of 14390953*i**4 - 448283*i**2 + 2*i wrt i. 345382872*i Differentiate 45335099*o**2 - 107386693 wrt o. 90670198*o What is the third derivative of 6*l**5 - 5268326*l**3 + 132*l**2 - 37173*l wrt l? 360*l**2 - 31609956 What is the second derivative of -1362760*m**3 - m**2 - 7658156*m? -8176560*m - 2 What is the first derivative of -145846*l - 27505572 wrt l? -145846 What is the derivative of s**4 - 33*s**3 - 4831*s + 1721885? 4*s**3 - 99*s**2 - 4831 What is the second derivative of -16*j*m**2 - 32236*j*m*v - 2*j - m**4*v + 57936*m**3*v - 4*v - 1 wrt m? -32*j - 12*m**2*v + 347616*m*v Find the second derivative of 350410376*c**3 - 47020*c - 264. 2102462256*c Find the second derivative of -8649*k**3 + 470*k**2 - 8*k + 25921 wrt k. -51894*k + 940 What is the second derivative of -15219*n**2*o**3 - 2*n**2*o - 25015*n**2 - 5*n*o + 2*n + 1058*o**4 - 4*o + 1 wrt o? -91314*n**2*o + 12696*o**2 Find the second derivative of -53*f*s**2*v**3 + 40*f*s*v**3 + 4*f*s*v**2 + 16*f*v**3 + 29625*s**5*v**3 - 9*v**2 wrt s. -106*f*v**3 + 592500*s**3*v**3 What is the second derivative of -11*a**2*d**3*z + 42655*a**2*d**3 - 4*a**2*d - a*d**3*z - 2*a*d**3 - 2*d**2*z + d*z - 2519*z - 92 wrt a? -22*d**3*z + 85310*d**3 - 8*d What is the third derivative of -3*k**5 - 55775*k**4 - 2*k**3 - 3963372*k**2 wrt k? -180*k**2 - 1338600*k - 12 What is the third derivative of 135848158*c**3*d**3 - 752*c**2*d**3 + 29*c**2 + c - 31*d + 2 wrt c? 815088948*d**3 Find the first derivative of -13*a*x - 134782*a - 1611131*x wrt a. -13*x - 134782 What is the third derivative of o**5 - 11488*o**4 + 5*o**3 + 4*o**2 + 736970*o + 1? 60*o**2 - 275712*o + 30 What is the second derivative of 121581*d**3*h - 11*d**3 - 6*d**2*h + 2*d**2 - 35592278*d*h wrt d? 729486*d*h - 66*d - 12*h + 4 Find the third derivative of 1046918*i**6 + i**4 + 2*i**2 - 19191773*i. 125630160*i**3 + 24*i Differentiate 7871337*b*c - 2240678*b with respect to c. 7871337*b Differentiate -15966*i**3*n + i**3 + 265*i**2 + 2*i + 173*n - 9 with respect to n. -15966*i**3 + 173 Find the third derivative of 265*m**3*n**3 + 2*m**3*n - 2*m**3 + 3012*m*n**3 - 814194*m*n**2 wrt n. 1590*m**3 + 18072*m Find the second derivative of 10*g*r**2*t**2 - 65*g*t**2 - 2*g*t - 5*g + 51430*r**2*t - 51*r*t**2 + r*t wrt t. 20*g*r**2 - 130*g - 102*r What is the first derivative of 12223167*y**2 - 74455277? 24446334*y What is the second derivative of -4169667*p**4 + 2*p**2 - 2113226*p? -50036004*p**2 + 4 Differentiate 6664630*g**3 + 3945187. 19993890*g**2 What is the third derivative of 12335099*a**5 + 12*a**4 - 126*a**2 + 3*a + 155897 wrt a? 740105940*a**2 + 288*a Find the second derivative of -100*a**2*w**2 + 13662*a**2*w + 2*a*w**3 + 4847*w**3 - 2*w - 55 wrt w. -200*a**2 + 12*a*w + 29082*w Differentiate n**3 + n**2 - 192883*n + 2583439. 3*n**2 + 2*n - 192883 Find the second derivative of -12642*g*o**3 - 10096*g*o**2 + 2*g*o - o**3 + 28537386 wrt o. -75852*g*o - 20192*g - 6*o Find the third derivative of -42*c**2*i**3 + 6*c**2*i**2 - 73*c**2*i - 3*c*i**2 - 5*c - 5*i**4 + 572057*i**3 + 6*i**2 + 20*i wrt i. -252*c**2 - 120*i + 3432342 What is the third derivative of 25987*m**6 - 373*m**4 - m**3 - 90*m**2 + 142*m - 1005? 3118440*m**3 - 8952*m - 6 What is the second derivative of -8089666*k**4 + 7072636*k wrt k? -97075992*k**2 Find the first derivative of 5588*k**2*n - 48*k*n + k - 26760*n - 615 wrt k. 11176*k*n - 48*n + 1 What is the second derivative of -3116*a**4 + a**3 - 70297*a**2 + 5702*a - 57208 wrt a? -37392*a**2 + 6*a - 140594 Find the second derivative of -16*q**4*y + 150881*q**3*y - 2045295*q - 3*y wrt q. -192*q**2*y + 905286*q*y Find the third derivative of 19141*g**6 + 17*g**4 - 3*g**3 - 9618*g**2 - 2040. 2296920*g**3 + 408*g - 18 What is the second derivative of 99514127*n*p**2 - 352698*n*p - 10*n - p - 2 wrt p? 199028254*n What is the second derivative of -37404290*t**2 - 68*t + 18508 wrt t? -74808580 What is the third derivative of 7*a**6*j**3 - 149285*a**6 + 3*a**2*j**2 + 31894*a**2 - 4*a + 2*j**3 + 2*j**2 wrt a? 840*a**3*j**3 - 17914200*a**3 Find the third derivative of 75*t**5 + 68*t**4 + 138*t**3 + 3881806*t**2. 4500*t**2 + 1632*t + 828 What is the second derivative of 72835626*w**3 - 5*w + 32651390 wrt w? 437013756*w Find the third derivative of 28*l*w**3 + 1294*l*w**2 - 13511*l - 5380588*w**3 wrt w. 168*l - 32283528 What is the third derivative of -2475*j**5 + 601*j**4 - 17*j**2 - 5960 wrt j? -148500*j**2 + 14424*j What is the second derivative of -876818*b**2 - 19*b - 193362? -1753636 Find the third derivative of -43146819*z**3 + 12*z**2 - 2*z + 1804 wrt z. -258880914 Differentiate -82118410*g - 80486921. -82118410 What is the third derivative of -28733910*r**4 + r**2 + 17*r - 22325 wrt r? -689613840*r What is the first derivative of 5884*j**2*m**2*t - 2*j**2*m**2 - j*m + m**3*t - 8251710*m**3 - 2746*t wrt t? 5884*j**2*m**2 + m**3 - 2746 Find the third derivative of 2*t**5 + 1802*t**4 + 1472*t**3 + 86993015*t**2 wrt t. 120*t**2 + 43248*t + 8832 What is the second derivative of -b**3*x + 3*b**2*x - 2288115*b**2 - 22*b*x - 99*x - 33 wrt b? -6*b*x + 6*x - 4576230 What is the second derivative of 50708184*u**3 + 13306348*u? 304249104*u What is the second derivative of 368*b**3*s**3 + 14264*b**2*h*s**3 + 3*b*h*s**3 + 9*b*h*s + 11*b*h - 6883*h*s**3 + h*s wrt b? 2208*b*s**3 + 28528*h*s**3 Differentiate 5218723*k**3 - 2*k**2 + k + 61862790. 15656169*k**2 - 4*k + 1 Differentiate 31199819*v**2 + 22917248 wrt v. 62399638*v Find the second derivative of -137834*b**4 - 16*b**3 - 4352941*b wrt b. -1654008*b**2 - 96*b What is the first derivative of 4*s**3 - 27024476*s**2 - 68117560 wrt s? 12*s**2 - 54048952*s Find the second derivative of -360*a**3 + 853*a**2 + 3554670*a wrt a. -2160*a + 1706 Find the third derivative of -202891800*u**3 - 4*u**2 + 17*u - 2426172. -1217350800 What is the first derivative of -70684220*o**3 + 44373389? -212052660*o**2 Find the first derivative of n*r**2 - 3*n*r - 8*n + 27*r**2 - 2564*r + 523083 wrt r. 2*n*r - 3*n + 54*r - 2564 What is the second derivative of -30639682*z**2 + 11770*z - 362? -61279364 Find the second derivative of -2198529*l*p**2 - 2*l*p - 2*p**5 + 64363*p wrt p. -4397058*l - 40*p**3 Find the third derivative of 9505456*n**3 + 937*n**2 - 2173 wrt n. 57032736 Differentiate 40616*o**3 - 6*o**2 + 567733 with respect to o. 121848*o**2 - 12*o Find the third derivative of -3*p**6 + 1184524
{ "pile_set_name": "DM Mathematics" }
3*j. Let y = 8 + g. Is z(y) composite? False Is (-4)/(-38) + (-3409596)/(-1007) a prime number? False Suppose 4*t - 3*p = -8*p + 28494, 4*t - 28490 = -3*p. Is t prime? True Let b = 19 - 9. Suppose -3*w - 1001 = -b*w. Is w prime? False Suppose -r + 3*q = 4*q - 30, 4*q = 2*r - 48. Let l be 2*8/12*3. Is r/21*42/l prime? False Is 5/25 - 46208/(-10) prime? True Let y(h) = 17*h - 7. Let q be y(1). Suppose 13*l - q*l = 3957. Is l a composite number? False Suppose -68221 = -9*a + 71630. Is a prime? False Suppose -20 + 151 = w + 3*x, 5*w - 699 = -4*x. Is w composite? True Let u(z) = -z**3 + 10*z**2 + 10*z + 9. Let w = 25 + -14. Let f be u(w). Is 1*(39 + (f - 0)) prime? True Suppose 4*p + 8 = 4*r - 12, -r = 4*p - 20. Let s be 8*(20/r - 2). Suppose 0 = -4*y - s*v + 204, 0 = -3*v - 11 + 26. Is y a composite number? True Suppose -2*z + 91186 = -3*s, 136809 = 3*z - 4*s + 7*s. Is z composite? False Suppose 0 = 3*j + 5*j + 3*j. Suppose -3*z + z + 2570 = j. Is z composite? True Let x(z) be the third derivative of z**6/360 + z**5/30 - 5*z**4/8 + z**3/6 + z**2. Let a(j) be the first derivative of x(j). Is a(12) prime? False Let z(m) = 32*m**2 - 6*m - 5. Is z(-1) a prime number? False Let q(o) = -3*o + 9. Let p be q(-4). Suppose 0 = -s + 4*f - p, -5*s + 8 = 5*f - 12. Is 2/s + 4 + 57 a prime number? True Let a(g) = 2*g - 10. Let q(r) = 4*r - 18. Let k(f) = -5*a(f) + 2*q(f). Suppose -8 = -2*h + 4. Is k(h) prime? True Suppose 3*v = -5*w + 32, -5*v + 20 = -2*w + 8. Suppose -9*l = -w*l - 13415. Is l prime? True Let s = 43 - 28. Is -753*((-40)/s - -2) a prime number? False Suppose -b = 134 - 4123. Is b prime? True Let t(q) = 56*q + 5. Let d(b) = b - 1. Let u(g) = -2*d(g) - t(g). Is u(-11) composite? True Is (-215454)/(-34) - 6/(-51) a prime number? True Suppose -2*d + 1 = -4*z + 9, 3*z = 3*d + 6. Suppose -3*o + x + 7 = -5*o, d = -3*o + 4*x - 27. Let r(s) = 5*s**2 + 6*s - 6. Is r(o) a prime number? True Let b be -3 - 0 - (0 - 9*15). Suppose l - b = 161. Is l composite? False Suppose -2*t = 39*n - 43*n + 3816, -4*t = -8. Is n a composite number? True Suppose 15807 = 12*o - o. Is o composite? True Let n = -4037 + 8128. Is n prime? True Let t be 18/(-27) + (-2)/(-3). Suppose -7*g + t*g + 1855 = 0. Is g prime? False Let w = 12 + -56. Is (-8655)/(-11) + (-8)/w a prime number? True Let a be 28/35 - (-32)/10. Is (-2696)/(-2)*((-34)/(-8) - a) composite? False Let i be 232 + -3 + 0/3. Let k = i + -108. Is k a prime number? False Suppose -4*p + 2982 = -5*n + 26, 3*p - 2222 = 5*n. Is p composite? True Let c = 2052 - 1428. Is c/4*15/2 + -1 prime? False Is 52082 - 7/(9 + -2) prime? True Let w = -25365 - -68158. Is w a composite number? False Let u be (-2 + 1 + 2)*1. Is -4 + (30 + -4)*u composite? True Let h be (-76)/10*(-10)/4. Suppose -64 = 15*f - h*f. Let c(v) = 3*v**2 - 22*v - 7. Is c(f) composite? False Suppose -224 = 2*z + 54. Let k = z - -536. Is k composite? False Let z(y) = 88*y**3 + 2*y**2 - 2*y + 1. Suppose 4*w = 3*p - 45, -2*p + 4*w + 30 = 8*w. Let f be p/12 + (-2)/8. Is z(f) a prime number? True Let x be (-2)/(-4)*(4 + -6). Let p(n) = -3*n**2 - n. Let w be p(x). Is 50 + w/((-4)/2) a prime number? False Let k = 0 + -5. Let q = 10 + k. Suppose -1059 = -q*t - r, -2*r + 864 = 4*t + 3*r. Is t a composite number? False Let x = -2488 + 7106. Is x a composite number? True Let l(n) = n**2 + 24*n + 4. Let q be l(-24). Suppose 2*h = -w + 983, -4*w + q*h + 1767 = -2225. Is w composite? True Suppose b + 3*b = 28. Suppose 0 = 4*g - b - 13. Is 746/g + 1/(-5) a prime number? True Let p = 715 - -1122. Is p a composite number? True Let n = 51416 - 36308. Suppose 7*z + 5*z - n = 0. Is z prime? True Suppose 2*s + 2*s - 16 = 0. Suppose -s*n + 5*t = 149, t - 134 = 5*n + 26. Let v = 43 - n. Is v composite? True Let n be (-5)/2*36/(-45). Suppose 20 = 2*f - t + 3*t, 3*f - 40 = n*t. Let g(u) = 2*u**2 - 12*u - 3. Is g(f) prime? False Let z = 3643 + -2530. Let s = z - -508. Is s a composite number? False Let b(u) = 101*u**3 + 2*u**2 - 31*u + 123. Is b(7) composite? True Suppose -m + 1 - 7 = 0. Let s be -2 + -5 - m/(-3). Is 2/s + 5243/63 composite? False Suppose 2*m + 3373 = 5*v - 2*m, -v + 677 = -2*m. Is v a prime number? True Let r(j) = 4*j**2 - j + 2. Let c be r(3). Is (c/15 - 3)*-669 a prime number? False Let l be 236/(-13) + (-14)/(-91). Let g be (l/27)/((-4)/42). Suppose 0 = 3*t + 4*w - 2363, -3*t - 3138 = -g*t + w. Is t a prime number? False Let c(t) = -t**3 + 8*t**2 + 28*t + 10. Let l(s) = -s**3 - 9*s**2 - 9. Let h be l(-9). Is c(h) composite? True Let p(u) = -11*u + 43. Let b be p(4). Is (-66484)/(-36) + b/(-9)*2 a composite number? False Let o(m) be the first derivative of -3*m**4/4 - 3*m**3 + m**2 - m + 1. Let f be ((-40)/(-20))/((-2)/7). Is o(f) composite? True Let m = -1709 - -4042. Is m a composite number? False Let f(c) = 915*c**2 + 7*c + 5. Is f(-1) composite? True Suppose -7821 = -4*a - 2*c + 118979, 5*a - 158489 = 3*c. Is a a prime number? True Suppose -24290 = -2*w + t, -5*t + 23953 = 2*w - 361. Is w prime? False Let x(b) = -b - 3. Suppose 0 = -4*j + 2*u - 16, -5*u + 0 = 4*j + 44. Let i be x(j). Suppose 0 = -i*o + 4*o - 37. Is o a composite number? False Let a = -20781 + 31233. Suppose 4*j - a = -4*g - 1552, 4*g + 2205 = j. Is j a prime number? True Let r = 921 - 20. Is r prime? False Suppose -36 = -3*j + l, -3*j + 4*l + 31 = 4. Let f = j - 8. Suppose h - 494 = -f*u - 51, -u = 4*h - 81. Is u composite? False Let x be (-5 - (-44)/6) + 1/(-3). Is 402 + (3 - x - -4) a prime number? False Is (-22)/(-77) + 270681/7 composite? False Let t(o) = -15*o - 1. Let d be t(-19). Let p = -112 + d. Suppose -p = 8*x - 2244. Is x prime? False Suppose 28 + 56 = 3*b. Let s = 645 + b. Is s prime? True Let r be 1 - 6*(-4)/(-3). Is (r/2)/(2/(-4)) prime? True Let d(t) = 102*t**2 + 3*t - 4. Is d(-5) a composite number? False Is (42590/5)/1 + -5 a prime number? True Suppose r + o = -7, 4 - 1 = -o. Is (0 - 4328/r)*3/6 a composite number? False Is (182694/16)/(54/(-72))*-2 prime? True Is (((-15108)/(-9))/1)/((-16)/(-12)) a composite number? False Let c be (-18)/(4*1/(-2)). Let f = c - 6. Suppose -2*a + 5*d + 53 = 0, 5*d + 67 = f*a - 0. Is a a composite number? True Let j(u) = -33*u - 11. Suppose 3*w - 11 = -h - h, -w = -4*h - 27. Suppose p + 1 + w = 0. Is j(p) composite? True Suppose -5*n - 1811 + 8306 = 0. Is n a prime number? False Let p be ((-12)/15)/((-10)/75). Suppose -w - 4*h = 442, p*w - h + 1339 = 3*w. Is w/(-6)*(-72)/(-24) prime? True Suppose 4*z = 3*z + 3*z. Suppose -2*n - 4*t + 1457 + 457 = z, 0 = -3*n - 2*t + 2887. Is n a prime number? False Let k = -18309 - -57670. Is k a prime number? False Suppose 5*x - 28509 - 6476 = 0. Is x composite? False Suppose 2*q - 19828 = -2*q. Is q a composite number? False Let j = 5884 + 866. Suppose f - j = 3655. Is f prime? False Let k = -219014 + 375433. Is k a composite number? False Let r(q) = -3*q - 21. Let j be r(-7). Suppose 8616 = 4*y + u, y + 4*u = -j*y + 2169. Is y prime? True Let j(g) = -g**2 - 10*g - 12. Let h be j(-8). Let c = h - 5. Is 4*(0 - c)*1 prime? False Let t(y) = y**3 + 5*y**2 + 2*y - 4. Let n = -8 + 5. Let p be t(n). Suppose u + 2*o = 303, -5*o + 12 = -p. Is u a prime number? False Suppose 0 = 5*i - 989 - 831. Suppose 0*w = -w - 4, v = 3*w - i. Let j = v - -1067. Is j a prime number? True Let p(h) = 6794*h + 151. Is p(3) a prime number? True Suppose 0*b - 2*b = 4*o - 4968, 0 = -4*b - 16. Is (-1)/(-3)*(o + 13) a prime number? True Let x(g) = -44*g + 16. Let k be x(-6). Is 3434/7 + -15*(-8)/k composite? False Suppose 3*r = 577 + 68. Let l = 84 + r. Is l a composite number? True Let r(n) be the first derivative of -55*n**2/2 + 3*n - 45. Is r(-4) a composite number? False Let z(v) = 758*v**3 + 2*v**2 - 1. Let p be z(-1). Suppose -5*a + 5986 = -4*u, 16*a - 1178 = 15*a - 4*u. Let b = p + a. Is b prime? False Let y(v) be the third derivative of 127*v**5/30 + v**4/24 - v**3/2 + 3*v**2. Let b be y(2). Suppose -b = -0*d - 5*d. Is d composite? True Let v be 1/(-4) + (-19347)/(-12). Suppose -2*f + 2690 = -v. Is f/33 + (-2)/11 a composite number? True Let f be 4 - 4*(-5)/(-4). Let i be (3 - f)*(-3)/(-4). Is (-2)/i - 6586/(-6) a prime number? True Let j(l) = 1894*l + 685. Is j(22) prime? False Let i = -7325 - -21304. Is i prime? False Suppose w = 4*n
{ "pile_set_name": "DM Mathematics" }
85*q**2 + 405*q + 270. -5*(q - 3)**3*(5*q + 2) Suppose h**4/3 - 8*h**3 - h**2/3 + 8*h = 0. What is h? -1, 0, 1, 24 Determine w, given that 8*w**5/13 - 32*w**4/13 - 54*w**3/13 + 162*w**2/13 + 216*w/13 = 0. -3/2, 0, 3, 4 Factor -2*m**5/11 - 118*m**4/11 - 1680*m**3/11. -2*m**3*(m + 24)*(m + 35)/11 Determine t so that 2*t**5/5 - 33*t**4/5 + 139*t**3/5 - 207*t**2/5 + 99*t/5 = 0. 0, 1, 3/2, 3, 11 Find f, given that -5*f**4 + 4885*f**3 + 9785*f**2 + 4895*f = 0. -1, 0, 979 Suppose -x**3/6 - 2*x**2/3 - 5*x/6 - 1/3 = 0. What is x? -2, -1 Determine f, given that 4*f**3 - 116*f**2 - 260*f + 372 = 0. -3, 1, 31 Factor f**5 - f**4 - 15*f**3 + 9*f**2 + 54*f. f*(f - 3)**2*(f + 2)*(f + 3) Determine r so that -r**2/10 - 9*r/10 + 11/5 = 0. -11, 2 Let v**2 + 107*v + 210 = 0. Calculate v. -105, -2 Determine g so that g**4/3 - 62*g**3 + 2883*g**2 = 0. 0, 93 Factor p**2/2 + 8279*p + 68541841/2. (p + 8279)**2/2 Find o, given that 2*o**3/13 + 32*o**2/13 - 2*o/13 - 32/13 = 0. -16, -1, 1 Let 3*f**2/4 - 273*f/4 + 135/2 = 0. Calculate f. 1, 90 Factor -55*s**3 - 305*s**2 + 180*s + 180. -5*(s - 1)*(s + 6)*(11*s + 6) Factor 8*x**3/9 + 56*x**2/3 + 18*x + 40/9. 2*(x + 20)*(2*x + 1)**2/9 Factor f**4/3 - 11*f**3/3 - 4*f**2. f**2*(f - 12)*(f + 1)/3 Suppose -4*q**5/5 - 776*q**4/5 - 34336*q**3/5 + 327208*q**2/5 + 6868*q - 326432/5 = 0. Calculate q. -101, -1, 1, 8 Factor 2*u**4/7 + 10*u**3/7 - 38*u**2/7 - 130*u/7 + 300/7. 2*(u - 3)*(u - 2)*(u + 5)**2/7 Solve 2*g**3/3 - 20*g**2/3 + 14*g = 0. 0, 3, 7 Factor h**2 + 6*h + 5. (h + 1)*(h + 5) Solve -n**4/6 + 3*n**3/2 - 13*n**2/6 - 3*n/2 + 7/3 = 0 for n. -1, 1, 2, 7 Factor -9*f**2/2 - 105*f/4. -3*f*(6*f + 35)/4 Factor v**5/6 - 4*v**4/3 + 3*v**3 - 9*v/2. v*(v - 3)**3*(v + 1)/6 Factor m**2/2 - 57*m/2 + 175. (m - 50)*(m - 7)/2 Factor -2*f**4 - 168*f**3 - 320*f**2 + 672*f + 1312. -2*(f - 2)*(f + 2)**2*(f + 82) Determine m so that 8*m**3/5 - 238*m**2/5 - 308*m/5 - 62/5 = 0. -1, -1/4, 31 Factor s**5/4 + 75*s**4/4 + 72*s**3 + 71*s**2. s**2*(s + 2)**2*(s + 71)/4 Find x such that -x**4/6 + 8*x**3/3 + x**2/2 - 23*x/3 - 16/3 = 0. -1, 2, 16 Factor 15*v**4 + 10*v**3 - 20*v**2 - 10*v + 5. 5*(v - 1)*(v + 1)**2*(3*v - 1) Determine p, given that -5*p**5 + 85*p**3 - 180*p**2 + 100*p = 0. -5, 0, 1, 2 Suppose 2*q**3/3 + 124*q**2/3 - 2*q/3 - 124/3 = 0. Calculate q. -62, -1, 1 Determine r, given that -r**5 + 5*r**4 - 4*r**3 = 0. 0, 1, 4 Suppose -2*a**4/7 - 596*a**3/7 - 43802*a**2/7 + 89400*a/7 - 45000/7 = 0. Calculate a. -150, 1 Suppose -4*a**5/5 - 272*a**4/5 + 1128*a**3/5 - 1712*a**2/5 + 1148*a/5 - 288/5 = 0. What is a? -72, 1 Determine m so that m**4 - 45*m**3 + 85*m**2 + 45*m - 86 = 0. -1, 1, 2, 43 Factor 2*f**2 + 1912*f - 3832. 2*(f - 2)*(f + 958) Determine r so that 432*r**4/7 + 360*r**3/7 - 51*r**2 - 360*r/7 - 75/7 = 0. -1, -5/12, 1 What is n in 3*n**3/5 + 9*n**2/5 - 138*n/5 + 216/5 = 0? -9, 2, 4 Solve -6*t**4/5 + 26*t**3/5 + 9346*t**2/5 + 6206*t/5 - 3108/5 = 0. -37, -1, 1/3, 42 Factor o**3/2 - 533*o**2/2 + 531*o. o*(o - 531)*(o - 2)/2 Factor 2*j**2/3 + 956*j/3 + 114242/3. 2*(j + 239)**2/3 Find p, given that p**3/7 + 104*p**2/7 + 404*p/7 + 400/7 = 0. -100, -2 Find n, given that -2*n**2/15 - 4448*n/15 - 2473088/15 = 0. -1112 Factor -4*q**2/5 + 172*q/5. -4*q*(q - 43)/5 Determine f, given that f**3 - 365*f**2 + 727*f - 363 = 0. 1, 363 Factor -15*k**2 + 81*k - 30. -3*(k - 5)*(5*k - 2) Let 4*w**3 - 340*w**2 = 0. Calculate w. 0, 85 Let 14*y**3/5 - 38*y**2/5 - 68*y/5 - 16/5 = 0. Calculate y. -1, -2/7, 4 Let -a**4/4 + 311*a**3/4 - 155*a**2/2 = 0. Calculate a. 0, 1, 310 Find l, given that -2*l**5/5 + 4*l**4/5 + 8*l**3/5 - 4*l**2/5 - 6*l/5 = 0. -1, 0, 1, 3 What is s in -5*s**4/6 + 5*s**3/6 + 10*s**2/3 - 10*s/3 = 0? -2, 0, 1, 2 Let 405*s**2 - 180*s + 20 = 0. Calculate s. 2/9 Find n such that -2*n**4 - 104*n**3 - 736*n**2 - 1408*n = 0. -44, -4, 0 Factor -r**2/8 + r + 9/8. -(r - 9)*(r + 1)/8 Solve -w**3/7 + 19*w/7 - 30/7 = 0. -5, 2, 3 Factor 3*b**3 + 51*b**2 - 243*b + 189. 3*(b - 3)*(b - 1)*(b + 21) What is v in 5*v**3 - 215*v**2 + 410*v = 0? 0, 2, 41 Find a, given that -a**3 - 3*a**2 = 0. -3, 0 Find i such that 18*i**3/5 - 30*i**2 + 176*i/5 - 56/5 = 0. 2/3, 7 Factor 2*a**2/13 - 4*a + 26. 2*(a - 13)**2/13 Solve -3*d**5 - 33*d**4 - 75*d**3 + 201*d**2 + 510*d - 600 = 0. -5, -4, 1, 2 Find u, given that -10*u**4/9 - 118*u**3/9 - 112*u**2/3 + 8*u = 0. -6, 0, 1/5 Let -2*g**3/5 + 136*g**2/5 - 1254*g/5 = 0. Calculate g. 0, 11, 57 Factor -2*q**2 - 72*q + 152. -2*(q - 2)*(q + 38) Determine w so that 4*w**5 - 516*w**4 + 14184*w**3 + 156600*w**2 + 499284*w + 514188 = 0. -3, 69 Factor -p**4/9 - 22*p**3/9 - 55*p**2/3 - 500*p/9 - 500/9. -(p + 2)*(p + 5)**2*(p + 10)/9 Factor 2*b**5/15 - 72*b**4/5 + 544*b**3 - 120224*b**2/15 + 157216*b/5. 2*b*(b - 34)**3*(b - 6)/15 Determine q so that -82*q**3/5 + 86*q**2/5 - 4*q/5 = 0. 0, 2/41, 1 Factor -5*u**3 + 765*u**2 - 28080*u - 91260. -5*(u - 78)**2*(u + 3) Factor -2*u**4/7 - 804*u**3/7 - 106920*u**2/7 - 656100*u + 14762250/7. -2*(u - 3)*(u + 135)**3/7 Find u such that 2*u**2/9 + 40*u/3 + 832/9 = 0. -52, -8 Determine x, given that 5*x**2 + 480*x + 11520 = 0. -48 Factor -3*n**2/5 - 30*n - 423/5. -3*(n + 3)*(n + 47)/5 Determine f, given that -f**2/3 - 7*f/3 + 6 = 0. -9, 2 Let -14*l**5/9 - 22*l**4/9 + 16*l**3/3 + 88*l**2/9 + 32*l/9 = 0. What is l? -2, -1, -4/7, 0, 2 Let 5*b**5 + 30*b**4 + 45*b**3 + 20*b**2 = 0. What is b? -4, -1, 0 Factor 4*y**5 - 96*y**4 + 472*y**3 + 1248*y**2 + 676*y. 4*y*(y - 13)**2*(y + 1)**2 Factor -s**5/2 + 3*s**4/2 + 3*s**3 - 5*s**2 - 21*s/2 - 9/2. -(s - 3)**2*(s + 1)**3/2 Find r such that r**2/5 + r/5 = 0. -1, 0 Factor -2*l**4/3 - 32*l**3/3 + 70*l**2/3 - 12*l. -2*l*(l - 1)**2*(l + 18)/3 Factor -i**3 + 118*i**2 - 3481*i. -i*(i - 59)**2 Determine i, given that -5*i**2 + 50*i = 0. 0, 10 Solve 5*u**2 + 9690*u + 4694805 = 0. -969 Factor 2*b**3 - 16*b**2 - 122*b - 104. 2*(b - 13)*(b + 1)*(b + 4) Factor -h**2/6 + 1409*h/3 - 1985281/6. -(h - 1409)**2/6 Determine y so that -2*y**3/9 - 32*y**2/9 - 26*y/3 = 0. -13, -3, 0 Let 32*m**5/7 + 48*m**4/7 - 46*m**3/7 - 30*m**2/7 - 4*m/7 = 0. What is m? -2, -1/4, 0, 1 Factor 242*b**3/3 + 286*b**2/3 + 46*b/3 + 2/3. 2*(b + 1)*(11*b + 1)**2/3 What is l in 2*l**2/3 + 20*l/3 + 14 = 0? -7, -3 Solve -20*y**3 - 300*y**2 - 285*y + 7220 = 0. -19/2, 4 Solve -j**2/5 + 37*j/5 + 38/5 = 0. -1, 38 Factor -2*o**4 + 22*o**3 + 52*o**2. -2*o**2*(o - 13)*(o + 2) Determine p, given that -4*p**4 + 48*p**2 + 64*p = 0. -2, 0, 4 Factor n**4 - 14*n**3/3 - 7*n**2/3 + 10*n/3. n*(n - 5)*(n + 1)*(3*n - 2)/3 Factor -h**2 - 4926*h - 6066369. -(h + 2463)**2 Factor 4*i**5/3 - 32*i**4/3 + 64*i**3/3 + 24*i**2 - 108*i + 72. 4*(i - 3)**3*(i - 1)*(i + 2)/3 Find i such that 4*i**3 + 20*i**2 + 16*i = 0. -4, -1, 0 Factor 2*w**2/9 + 118*w/9 + 76/3. 2*(w + 2)*(w + 57)/9 Factor r**2/4 + 1125*r/2 + 1265625/4. (r + 1125)**2/4 Solve 2*h**5 + 14*h**4 + 32*h**3 + 16*h**2 - 32*h - 32 = 0. -2, 1 Factor 2*p**5/5 - 18*p**4/5 + 52*p**3/5 - 68*p**2/5 + 42*p/5 - 2. 2*(p - 5)*(p - 1)**4/5 Let -2*w**5 + 8*w**4 + 10*w**3 - 40*w**2 - 8*w + 32 = 0. What is w? -2, -1, 1, 2, 4 Solve v**2/7 + 11*v/7 + 10/7 = 0 for v. -10, -1 Determine v so that -4*v**3/3 - 148*v**2 - 4180*v - 12100/3 = 0. -55, -1 Suppose 5*s**3 + 1065*s**2 - 2145*s + 1075 = 0. Calculate s. -215, 1 Determine j, given that -15*j**2 + 21*j - 6 = 0. 2/5, 1 Find q such that -q**2/4 + 9*q/2 - 14 = 0. 4, 14 Find s, given that -15*s**2/4 + 107*s/2 - 14 = 0. 4/15, 14 What is g in -2*g**4 + 8*g**3 + 602*g**2 - 608*g = 0? -16, 0, 1, 19 Factor -3*l**4/8 + 93*l**3 - 5382*l**2 - 47616*l - 98304. -3*(l - 128)**2*(l + 4)**2/8 Factor m**4 - 91*m**3/3 + 39*m**2 - 29*m/3. m*(m - 29)*(m - 1)*(3*m - 1)/3 Factor 5*p**2 - 11380*p + 11375. 5*(p - 2275)*(p - 1) Factor -y**3 - 8*y**2 - 12*y. -y*(y + 2)*(y + 6) Determine b, given that 2*b**5/9 - 10*b**4/9 + 4*b**3/9 + 28*b**2/9 - 2*b/3 - 2 = 0. -1, 1, 3 Suppose 4*h**4 + 1064*h**3 + 73876*h**2 + 414960*h + 608400 = 0. What is h? -130, -3 Factor -l**3/5 + 2*l**2/5 + 3*l/5. -l*(l - 3)*(l + 1)/5 Factor -15*y**2 + 130*y + 45. -5*(y - 9)*(3*y + 1) Let -3*d**2/5 + 252*d/5 - 5292/5 = 0. Calculate d. 42 Factor -5*m**2 - 65*m + 150. -5*(m - 2)*(m + 15) Factor -4*h**2 - 104*h - 480. -4*(h + 6)*(h + 20) Find m, given that m**5/3 + 23*m**4/3 - 34*m**3 + 158*m**2/3 - 107*m/3 +
{ "pile_set_name": "DM Mathematics" }
t d(z) = -z**3 - 3*z**2 - 3*z - 5. Let i be d(-3). Suppose -i*s + 664 = 4*s. Is 10 a factor of s? False Let g(w) = -10*w + 51. Is g(-3) a multiple of 7? False Suppose 2*w - 4*y = 10, 4*w - 4*y - 3 = 5. Is 30 a factor of w/4 + (-121)/(-4)? True Suppose -7969 = -17*k + 2248. Is k a multiple of 53? False Suppose 3*i + 2*i - 10 = 0. Let u be ((-3)/i)/(9/24). Is u - (1 - 1 - 18) even? True Suppose -1403 - 1882 = -9*c. Does 5 divide c? True Does 2 divide -3 - (-45 + 5 + 4)? False Let y(h) = 4*h - 7. Let f(j) = -3*j + 7. Let b(m) = 3*f(m) + 2*y(m). Does 3 divide b(-5)? True Let o(l) = -l**2 - 77*l + 459. Is o(-51) a multiple of 21? True Suppose -4*m = -5 + 25. Let d be 7 + m + 18/(-2). Is (d + 3)*34/(-4) a multiple of 7? False Suppose -36*b + 11*b = -3675. Is b a multiple of 49? True Suppose 24 = 3*k - 0. Let j be 6 - (-2)/(k/(-12)). Suppose -j*z + 5*z = 192. Is 24 a factor of z? True Let f(d) = d**2 + 4*d - 1. Let i(q) = -q + 17. Let h be i(13). Suppose -h*w - 15 = -7*w. Is 19 a factor of f(w)? False Let z = 3379 + -1917. Does 21 divide z? False Suppose -5*n = -3*n - 16. Suppose -2 - n = -w. Does 4 divide w? False Suppose 0 = -10947*g + 10942*g + 1740. Does 11 divide g? False Let f = -592 + 720. Is f a multiple of 9? False Suppose -36*b = -34*b - 66. Suppose -11*y + 10*y = -b. Is 5 a factor of y? False Let c be (-1)/(-2) + (-27)/(-6). Let p be (2/c)/(2/(-70)). Let r(j) = -j**3 - 13*j**2 + 8*j + 11. Does 19 divide r(p)? True Let w = 39 - 47. Let d(m) = -15*m + 18. Does 14 divide d(w)? False Is 1337 + 6/12*-8 a multiple of 31? True Let f(j) = -92*j**3 + j**2. Let g be f(-1). Suppose -58 = 4*m + 3*b - 153, 2*m + 2*b = 46. Let x = g - m. Does 14 divide x? False Let w = -434 + 595. Is 99 a factor of w? False Let j = 100 + -24. Let a = 129 - j. Suppose 2*t = -t - 3*n + 177, -t = -n - a. Is t a multiple of 17? False Suppose -21 = 2*p - 5*p. Let a be 32/(-14) - (-2)/p. Is 31 a factor of (-657)/(-21) - a/(-7)? True Suppose 8*m = 11*m - 10500. Is 50 a factor of m? True Suppose -563 = -9*j + 274. Let i = j - -287. Is 38 a factor of i? True Let a(i) = -2 - 15*i**2 - 2*i**3 - 13*i + 6 + i**3 + 11*i**2. Is a(-6) a multiple of 22? True Suppose -z + 5 = 4*z. Let v be 2 - ((-3 - -20) + z). Does 13 divide v/(-1) + 12/(-4)? True Let f(q) = 6*q**2 - 127*q + 3. Let y be f(21). Let l be 60 + 1 - 1*-1. Let p = l - y. Is 20 a factor of p? True Let h(u) = 55*u**2 - 2*u - 3. Does 7 divide h(-1)? False Suppose -4 = -4*v + 2*v. Let u(q) = 8*q**2 - 8*q - 6. Let x be u(3). Suppose -3*c = -z - 0*c + x, -v*z = -5*c - 84. Does 14 divide z? True Let g(p) = -3*p - 41. Let d be g(-16). Suppose -9*r = d*r - 3072. Is r a multiple of 12? True Suppose -10*k + 202 = -138. Let u(o) = o**2 + 2*o + 2. Let w be u(-2). Suppose -3*r + k = -w. Does 5 divide r? False Let i(o) = -42*o**2 + 12*o + 12. Let a(x) = x**2 - x - 1. Let s = -21 + 20. Let j(h) = s*i(h) - 10*a(h). Is j(-1) a multiple of 16? True Suppose 5*c - 545 - 665 = 0. Let w = c - 160. Let y = -43 + w. Does 13 divide y? True Let z(i) = -i**3 - 12*i**2 + 12*i - 9. Let o be z(-13). Does 4 divide -1 - (0 - o - 6)? False Let f be 1 - -17 - (13 - 11). Suppose f = 11*a - 9*a. Does 3 divide a? False Let r = 47 + -32. Suppose 2*c - 24 = -3*c - 4*f, 4*c - f - r = 0. Is (c/(-6))/((-6)/261) a multiple of 19? False Let v(f) = -93*f + 1 - 104*f + 46*f. Does 38 divide v(-1)? True Suppose -11*s + 1534 = 2*s. Let b = -82 + s. Does 9 divide b? True Let o = -26 - -28. Suppose 0 + 4 = -o*p. Is 3 a factor of 6/p - 0 - -12? True Suppose -2*c + 113 = -c + r, 6 = 2*r. Let u(x) = -x**3 - 6*x**2 + 3*x + 3. Let f be u(-6). Does 9 divide c/f*6/(-4)? False Suppose 2 = -5*n - 4*a, 2*n - a + 1 = 4*n. Suppose -n*x + 6*x + 20 = 0, 5*w + 5*x - 430 = 0. Does 13 divide w? True Suppose 5*n - 121 = 3*r + 117, 5*n - 5*r - 230 = 0. Let l = n - 40. Is 5 a factor of l? True Let a be ((-24)/(-9))/(1/(-6)). Let l(y) = -y**3 - 17*y**2 - 20*y - 7. Does 19 divide l(a)? True Let w = -335 - -753. Does 19 divide w? True Let b(s) = -3*s + 6. Let h be b(4). Let g be (21/h)/(4/8). Is (-2)/g + (-580)/(-28) a multiple of 21? True Let w(o) = -o**2 - 13*o - 9. Suppose 5*l + 4 + 6 = 0. Let t be -10 - l - 1/1. Is 12 a factor of w(t)? False Suppose 2*t + 6*u - 8*u - 470 = 0, 2*t - 455 = 5*u. Is t a multiple of 30? True Let y be (-8)/(-6) + (-4)/(-6). Let t = y + 67. Is t a multiple of 45? False Suppose -6 = -0*k - 3*k. Suppose 0 = 2*y - u - 5, -3*y = -5*y + k*u + 6. Suppose 0 = -3*d - 3*l, 0 = y*d - 3*l - 23 - 2. Is d even? False Let k = -1000 + 1042. Is k a multiple of 2? True Is ((-4)/(-6)*-40)/((-36)/6372) a multiple of 59? True Let b(n) = 2*n**2 + 7*n - 10. Suppose u = 5*d + 15, u = 3*u - d + 15. Let t be b(u). Suppose -4*h + t = -8. Is h a multiple of 16? True Let p = -3712 + 5246. Does 9 divide p? False Suppose 199*i - 242*i = -29240. Is 34 a factor of i? True Let q(x) = -x**3 - x**2 + x + 5. Let p be q(0). Suppose -4*a + p*n + 961 = 0, -3*n + 0 - 15 = 0. Is a a multiple of 26? True Let h = -781 - -896. Is h a multiple of 23? True Let m be (2/5)/((-14)/(-1085)). Let w = m - 20. Does 3 divide w? False Let c(w) = -109*w + 24. Is 9 a factor of c(-1)? False Let d = -140 + 256. Is d a multiple of 29? True Suppose -4*c = a - 205, -12 = -c + a + 33. Suppose 0 = 3*b - c - 70. Is 10 a factor of b? True Let n(s) = 2*s**2 + 9*s - 5. Does 16 divide n(11)? True Suppose -5*u - 14 = 9*u. Let m = 13 + u. Is 6 a factor of m? True Let f(t) = 7*t - 7. Suppose 0 = -3*j - 5*s + 2 - 0, 0 = -3*s - 6. Suppose 0 = -0*x - j*x - 4*k + 44, k = -5*x + 39. Is f(x) a multiple of 11? False Suppose 25 = 2*g - 7*g. Let o(r) be the second derivative of r**4/12 - r**3/6 - 7*r**2/2 + 2*r. Does 23 divide o(g)? True Suppose 0 = -5*i + 8 + 2. Suppose -18 = -2*o - i*d, o + 48 = 6*o + 2*d. Is 10 a factor of o? True Does 12 divide (-1)/7 + (-4 - (-4426)/14)? True Let k(w) = 3*w**3 + 6*w**2 + 5. Let p be k(-5). Let h = 410 + p. Is 19 a factor of h? True Suppose -589 = -3*w + 62. Suppose 4*i = 2*p + w + 57, -268 = -4*i + 4*p. Does 16 divide i? False Let s(i) = -158*i - 44. Is s(-4) a multiple of 84? True Let s be (-12)/(-4) + 0/1. Let b = s - -1. Suppose -b*p + 23 - 3 = 0. Does 5 divide p? True Is (-240)/(-39) + 20/(-130) - -759 a multiple of 17? True Suppose -i = -4*m - 19, -3*i + 5*m + 26 = -3. Suppose -x + i*t + 9 = -8, -4*x - t = -133. Is 4 a factor of x? True Suppose -2*r + 560 = 3*r. Is r a multiple of 16? True Let v = 27 - -6. Suppose -4*r - v = -r. Let k = -7 - r. Does 4 divide k? True Does 17 divide (-18 + 9/9)*-29? True Let c = -1307 + 1467. Does 5 divide c? True Let h be ((-1)/(-3))/(3/9). Suppose -h = -3*b - 55. Let t = -8 - b. Is t a multiple of 4? False Suppose 2077 + 8633 = 7*h. Is h a multiple of 18? True Suppose 9*r - 12 = 12*r, 2*i + r = 692. Is 16 a factor of i? False Does 11 divide (1573/(-26))/(1/(-6))? True Does 12 divide ((-1676)/10)/((-62)/155)? False Suppose -4*h + 6*h - 111 = 5*f, f - 189 = -4*h. Suppose -3*n - 4*l = 8, l + 4 - 2 = -n. Suppose 5*d - d - h = n. Is d a multiple of 4? True Let m = -22 - -19. Is (-87)/m - 2/(-2) a multiple of 11? False Let k = 18 - -14. Suppose 5*t - k = 4*t. Is t a multiple of 3? False Let b(z) = z**3 + 26*z**2 + 13. Is 6 a factor of b(-26)? False Suppose -24*p = -1240 - 440. Does 4 divide p? False Let h = -45 + 63. Suppose 3*l + h = 300. Suppose 0*g - 5*g - 2*u + l = 0, 4*g - 2*u - 68 = 0. Is 4 a factor of g? False Let t(y) = -221*y - 2. Does 20 divide t(-1)? False Let v(p) = 20*p**2 + 22*p + 184. Is 20 a factor of v(-6)? False Suppose t - 1307 + 395 = 0. Is t a multiple of 76? True Let b(u) = -575*u**3 + 3*u**2 + 27*u + 25. Is b(-1) a multiple of 14? False Let a = 10 - 8. Suppose -4*l + 3*f + 32 = -a*f, -5*l - 1 = 4*f. Suppose 4*g - l*r - 89 + 9 = 0, -5*g = -r - 100. Is 10 a factor of g? True Let p(s) = -s**3 + s + 3. Let m be p(3). Let g = m + 20. Does 14 divide 14 - (-2 - (g - 1))? True Suppose -2*u + 7*u + 69 = -4*k, 3*k - 2*u = -69. Let t be (-18)/(-90) + k/5. Is t/((20/25)/(-2)) a multiple of 5? True Let r = 2 - -2. Let n(v) = -7*v - 105. Let a be n(-30). Suppose -7*z + a = -r*z. Is 9 a factor of z? False Let w = 53 - 46. Suppose 0 = -13*g + w*g + 336. Does 14 divide g? True Suppose -5*s = -0*s - 35. Let p be (-1 - 1)/2 - s. Is (12/8)/((-2)/p) a multiple of 3? True
{ "pile_set_name": "DM Mathematics" }
hich is the second smallest value? (a) 3 (b) -4 (c) 15 (d) 2 d What is the third biggest value in 0.16, 5, 2? 0.16 Which is the second biggest value? (a) 0 (b) 1/19 (c) 2 b What is the second smallest value in 2/31, -5/22, 0.2? 2/31 Which is the second smallest value? (a) -4 (b) -0.3 (c) -10.1 (d) -0.4 (e) 1/5 a What is the smallest value in 2, -5, 27/28? -5 Which is the smallest value? (a) 0.072 (b) 0 (c) 2 (d) -4 (e) 0.4 d What is the second smallest value in -2/15, 5, -8.37, -1? -1 Which is the third smallest value? (a) -380 (b) -4 (c) 1/3 c What is the biggest value in -0.1, 1.19, 4/5? 1.19 What is the second smallest value in -7, 0, 5, -26/3? -7 Which is the second smallest value? (a) 0 (b) -266 (c) 0.1 (d) -2 d Which is the third smallest value? (a) 12/29 (b) 0.4 (c) -0.3 a Which is the biggest value? (a) 0.9 (b) -5 (c) 22 c What is the third smallest value in -2, -0.4, 0.4, -11, -0.1? -0.4 What is the second biggest value in -5, 300, -4? -4 What is the fifth smallest value in 38, -3/2, -2, 2, 1? 38 What is the third smallest value in 0, 0.2, 1, -1? 0.2 Which is the fourth smallest value? (a) -5.7 (b) -1/5 (c) 0.12 (d) -0.3 c Which is the second biggest value? (a) 0.14 (b) -2/15 (c) -2/35 c Which is the biggest value? (a) 28/9 (b) 1/10 (c) -4 a What is the biggest value in -0.94, -0.08, -0.4? -0.08 What is the second biggest value in 2/3, 8/7, -1/4? 2/3 Which is the third smallest value? (a) 1/34 (b) 4 (c) -3 (d) 1 d What is the fifth smallest value in -5/2, -12.7, 0.3, -0.41, 3? 3 Which is the second smallest value? (a) 26 (b) -1/5 (c) -7/5 b What is the fourth smallest value in 4, -16, -1, -0.1, -6/11? -0.1 Which is the second smallest value? (a) -2 (b) -5 (c) 0.39 (d) -4/7 a Which is the biggest value? (a) 4 (b) -0.3752 (c) 1/3 a Which is the fifth smallest value? (a) -2 (b) -3 (c) 0.4 (d) 20/9 (e) -1/3 d What is the smallest value in 5, 2/7, -0.4, 6/11? -0.4 What is the smallest value in 5/7, -2, 1/5, -0.1? -2 What is the second smallest value in -0.4, -86, 5? -0.4 What is the third biggest value in -2/13, -8, 1/5, -2/9? -2/9 Which is the second smallest value? (a) -1 (b) 5921 (c) 2/3 c What is the second smallest value in 2, -1/2, -8, -2, 8? -2 Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) -4 (d) 2/5 c Which is the second smallest value? (a) -0.4 (b) -18 (c) 5 (d) 1 a What is the smallest value in 0.1, -4, 2, 2/195, 2/7? -4 What is the second smallest value in 2, -350/9, 4? 2 Which is the third biggest value? (a) 91 (b) 0.1 (c) 0.2 (d) 2 c What is the third biggest value in -0.02, -2/11, 91/5, 0? -0.02 Which is the biggest value? (a) 1 (b) -0.7 (c) 2 (d) 1/14 c What is the biggest value in -0.2, 783, 0.4, 0.2? 783 What is the third biggest value in 4, -20, -1.1, -14/9, 0.4? -1.1 What is the third biggest value in -0.5, -587, 0.5? -587 What is the fourth smallest value in 1/4, 30, -1/3, 0.01? 30 What is the second biggest value in 0.034, 0.08, 0.2? 0.08 What is the fourth smallest value in -0.6, -5, 4, -36/5? 4 What is the third biggest value in -0.01, -2, 3, -4.8, 2/41? -0.01 Which is the third smallest value? (a) -1 (b) 6 (c) 0.5 b Which is the biggest value? (a) 4 (b) -186 (c) 0.4 a What is the third biggest value in 4, 861, -0.1? -0.1 What is the second biggest value in 7, -0.1, 0.21? 0.21 What is the second biggest value in -6, -10, -2/7? -6 Which is the third biggest value? (a) 3 (b) 25 (c) 1 (d) -4 (e) 0 c Which is the second smallest value? (a) -1.6 (b) -0.2 (c) -3 (d) 119 (e) 0.2 a Which is the third biggest value? (a) 9 (b) -12.7 (c) 0.5 b What is the third biggest value in 5, 2, -2? -2 Which is the third smallest value? (a) 46 (b) 2.8 (c) -4 (d) 3 d Which is the biggest value? (a) -4 (b) -379 (c) 0.4 c Which is the fifth smallest value? (a) 5 (b) -0.02 (c) 7 (d) 10 (e) -0.1 d What is the smallest value in -4, 3, 14? -4 What is the biggest value in 0.2, -11, 0.3, -1? 0.3 Which is the smallest value? (a) 0.5 (b) -0.3 (c) 12/11 (d) 0.4 b Which is the second biggest value? (a) 1 (b) 0.03 (c) -1 b What is the third smallest value in -572, 2, -2/13? 2 Which is the fifth smallest value? (a) -5 (b) -0.3 (c) -57 (d) 8 (e) 0.1 d What is the third smallest value in -14, -0.2, 3/19? 3/19 Which is the second smallest value? (a) -12 (b) 0.39 (c) -2 (d) 3/4 c Which is the second biggest value? (a) -2/7 (b) -18 (c) -71 b Which is the third biggest value? (a) -0.4 (b) 0.6 (c) 2/137 a What is the third smallest value in 2/3, 0.158, 0? 2/3 Which is the third biggest value? (a) 1/5 (b) 2/7 (c) 2/5 a What is the second biggest value in -2, -34/11, 0.4? -2 What is the biggest value in -1/2, 1/2, -1, 2/11, -0.4? 1/2 What is the biggest value in 3/2, -0.4, -4, 3047? 3047 Which is the third biggest value? (a) 35 (b) 1/4 (c) 2 b Which is the third biggest value? (a) 0.5 (b) -0.1 (c) -2/233 b Which is the fourth biggest value? (a) 3 (b) -40 (c) -3 (d) -3/8 b Which is the third smallest value? (a) -5 (b) -6 (c) -2/7 c Which is the third smallest value? (a) 4 (b) 2/11 (c) -2/7 (d) 0 b Which is the second smallest value? (a) 5 (b) 2/13 (c) 0.1 (d) 3/5 b Which is the third smallest value? (a) -6 (b) 1/9 (c) 5 (d) 0.4 d What is the smallest value in -0.1, -1, 3, -0.4? -1 Which is the biggest value? (a) 4 (b) -2.3 (c) 0.15 (d) 3 (e) -2/11 a What is the second smallest value in -0.01, -64, 0.5? -0.01 Which is the third biggest value? (a) -0.4 (b) 6/13 (c) 2/9 (d) -3/4 a What is the second smallest value in -2, 0, -0.17? -0.17 Which is the second smallest value? (a) -2/27 (b) 0 (c) -6/5 (d) -2 c Which is the fourth biggest value? (a) -7 (b) -2/13 (c) 1/3 (d) 13 a Which is the third smallest value? (a) 4 (b) 3/4 (c) -1.8 a Which is the fourth smallest value? (a) 1 (b) 2 (c) 3 (d) -20 c What is the third smallest value in 3, -1/9, 2/15, 0.4, -5.7? 2/15 What is the second smallest value in -1.4, -6, 0.1, -2? -2 Which is the third biggest value? (a) -0.1 (b) -3/2 (c) -5 (d) 1/9 (e) -576 b What is the second biggest value in -0.05, 1, 112? 1 Which is the fourth smallest value? (a) 5 (b) -5 (c) 3 (d) -18 a Which is the third biggest value? (a) 36 (b) 0.5 (c) 0.2 c What is the second smallest value in 1001, -1/4, 0.1? 0.1 Which is the third smallest value? (a) -3 (b) -1/5 (c) 0.35 c What is the second biggest value in 5, 0.1, 0.4, 22? 5 Which is the third biggest value? (a) -3.14 (b) 5 (c) 4 a What is the biggest value in 3/7, 44, 1, -0.4? 44 What is the second smallest value in -123, 4/7, 5, 1? 4/7 Which is the third smallest value? (a) 0 (b) 0.5 (c) -122 b Which is the third biggest value? (a) -1/7 (b) -0.3 (c) -0.1715 (d) 5 (e) -3 c Which is the third biggest value? (a) 1.2 (b) 5 (c) -39 (d) 3 a Which is the smallest value? (a) -3/5 (b) -2/5 (c) -0.02 a Which is the smallest value? (a) -0.04 (b) -1/3 (c) -2 c What is the smallest value in 2.7, 4, 3/4? 3/4 What is the third smallest value in 234/19, 2/11, -2/13? 234/19 Which is the fourth biggest value? (a) 1/3 (b) 2 (c) -1/5 (d) 17 c Which is the biggest value? (a) 0 (b) -1.1 (c) 4 (d) 0.28 c Which is the third smallest value? (a) 17 (b) 2 (c) 0 a What is the biggest value in 2, 0.1, -0.098? 2 Which is the third biggest value? (a) -64 (b) -1/5 (c) -0.1 (d) 2/9 b What is the fourth biggest value in -0.2, 12.4, -5, -0.03? -5 What is the third smallest value in -0.3, -1.7, 3, 4? 3 What is the third biggest value in -3/8, -0.3, 2/11, -2, 0? -0.3 Which is the biggest value? (a) -1 (b) 202 (c) 0.058 b What is the third smallest value in -37, 75, 3, -1? 3 What is the smallest value in 0.1, 0, -9, 1/5? -9 What is the fifth smallest value in 4, 0.11, 0, -2/3, -5? 4 Which is the second biggest value? (a) -1 (b) -6 (c) 2 (d) -2 a Which is the second smallest value? (a) 0.2 (b) 4 (c) 13 b Which is the second smallest value? (a) 0.4 (b) -0.7 (c) -1/3 (d) 5 c What is the fourth biggest value in 311, 2/9, 2, 1? 2/9 What is the third smallest value in -2/5, -1/3, 0.05? 0.05 What is the second smallest value in 4, -2.4, 0.1, 3, 2? 0.1 What is the smallest value in 19, 1/
{ "pile_set_name": "DM Mathematics" }
26, 50654? 57880 What comes next: -6095, -12148, -18201, -24254? -30307 What comes next: 6567, 6615, 6663, 6711, 6759, 6807? 6855 What is the next term in 23875, 47761, 71673, 95623, 119623, 143685, 167821? 192043 What is next in -19787, -19784, -19783, -19784, -19787, -19792? -19799 What comes next: -5590, -44639, -150626, -357019, -697286, -1204895? -1913314 What is the next term in -50504, -101005, -151506, -202007, -252508, -303009? -353510 What is next in -74459, -148899, -223339, -297779, -372219, -446659? -521099 What comes next: 4, -183, -632, -1475, -2844, -4871, -7688, -11427? -16220 What is next in -521, -452, -381, -308, -233? -156 What is the next term in 6579, 6474, 6299, 6054, 5739, 5354? 4899 What comes next: 146, 676, 1584, 2870, 4534, 6576? 8996 What is the next term in 96, 43, 138, 453, 1060, 2031? 3438 What is next in -45990, -45985, -45976, -45963? -45946 What comes next: 18919, 19012, 19105, 19198, 19291, 19384? 19477 What is the next term in -88, -105, -138, -193, -276? -393 What is next in 691, 843, 1257, 2065, 3399? 5391 What is next in 994, 2359, 3724, 5089, 6454? 7819 What comes next: -100017, -200028, -300039, -400050, -500061? -600072 What comes next: 33695, 33694, 33693, 33692, 33691, 33690? 33689 What is the next term in 2320, 4662, 7002, 9340, 11676? 14010 What is next in -203, -251, -383, -641, -1067, -1703, -2591? -3773 What is the next term in -24, 28, 68, 60, -32? -244 What is the next term in 544022, 544021, 544020, 544019, 544018, 544017? 544016 What comes next: -131, -109, -67, 1, 101? 239 What is the next term in 7795, 15575, 23355, 31135? 38915 What is the next term in 102, 247, 546, 999, 1606? 2367 What is the next term in -706, -1374, -2042, -2710? -3378 What is next in -11092, -10971, -10850, -10729, -10608? -10487 What comes next: -43180, -86353, -129514, -172657, -215776, -258865? -301918 What is next in 115, 425, 941, 1663, 2591? 3725 What is the next term in -558, -694, -936, -1338, -1954, -2838, -4044? -5626 What comes next: 2365, 2341, 2317, 2293? 2269 What is next in 2866, 11526, 25968, 46198, 72222? 104046 What is next in -240, -518, -782, -1026, -1244, -1430, -1578? -1682 What comes next: 22327, 22322, 22305, 22276? 22235 What is next in -642, -1217, -2180, -3531, -5270? -7397 What is next in -28, -91, -204, -373, -604, -903, -1276, -1729? -2268 What is next in 889, 900, 919, 946? 981 What is next in -377, -768, -1161, -1556? -1953 What comes next: -1647, -853, -59? 735 What is next in 757, 939, 1119, 1297? 1473 What is the next term in 95, 203, 299, 383, 455? 515 What is next in 895, 3887, 8975, 16159, 25439, 36815, 50287? 65855 What is next in -117629, -117627, -117623, -117617, -117609, -117599? -117587 What is the next term in 317, 1277, 2871, 5093, 7937, 11397, 15467, 20141? 25413 What comes next: 88971, 177966, 266961? 355956 What is the next term in 194, 244, 390, 680, 1162, 1884, 2894? 4240 What comes next: -10296, -82347, -277914, -658755, -1286628, -2223291, -3530502, -5270019? -7503600 What is the next term in 126250, 126267, 126302, 126361, 126450, 126575, 126742, 126957? 127226 What comes next: -55062, -55068, -55076, -55086, -55098, -55112, -55128? -55146 What comes next: 43540, 174178, 391908, 696730, 1088644, 1567650? 2133748 What is next in -1698, -1844, -2082, -2406, -2810, -3288, -3834, -4442? -5106 What comes next: -487, -2080, -4753, -8512, -13363, -19312, -26365? -34528 What comes next: 109256, 218512, 327768? 437024 What comes next: 16, 226, 566, 1030, 1612, 2306, 3106? 4006 What is the next term in -263, -1070, -2423, -4328, -6791, -9818, -13415, -17588? -22343 What is next in -124, -297, -496, -721, -972? -1249 What is next in -61, 164, 541, 1070, 1751, 2584, 3569? 4706 What is the next term in 11767, 23536, 35303, 47068, 58831, 70592? 82351 What is the next term in -1861, -7434, -16717, -29704, -46389, -66766, -90829? -118572 What is next in 3640, 3612, 3556, 3460, 3312? 3100 What comes next: -62, -237, -528, -935? -1458 What comes next: -260, -382, -502, -620, -736, -850, -962? -1072 What is next in -4897, -19580, -44051, -78310, -122357, -176192? -239815 What is the next term in 258, 980, 2186, 3876? 6050 What is next in 88, 187, 284, 367, 424? 443 What is the next term in -310, -482, -768, -1168, -1682, -2310, -3052? -3908 What is the next term in 3148, 3748, 4348? 4948 What is next in -1131, -2186, -3211, -4194, -5123, -5986, -6771, -7466? -8059 What is next in -11, -2, -19, -80, -203, -406, -707? -1124 What is next in 123875, 123877, 123883, 123893, 123907? 123925 What is the next term in 59, -57, -187, -337, -513, -721? -967 What is the next term in 48273, 48274, 48275, 48276? 48277 What is next in -203, -715, -1545, -2693? -4159 What is next in -17587, -17598, -17621, -17662, -17727? -17822 What is next in 493, 2273, 5237, 9385, 14717, 21233? 28933 What is the next term in -12577, -12576, -12575, -12574, -12573, -12572? -12571 What comes next: -11290, -22576, -33862, -45148, -56434? -67720 What is next in 8743, 8653, 8497, 8269, 7963? 7573 What is next in 1264, 1427, 1678, 2017, 2444? 2959 What is the next term in 112, 277, 442? 607 What is the next term in -3, -3, 59, 213, 489, 917, 1527, 2349? 3413 What is next in -138, -589, -1040, -1491, -1942? -2393 What is the next term in 8088, 16192, 24296, 32400? 40504 What is next in 595, 1182, 1769, 2356, 2943? 3530 What is the next term in 283, 558, 807, 1036, 1251, 1458, 1663, 1872? 2091 What is the next term in 324, 1324, 3042, 5520, 8800, 12924, 17934? 23872 What is next in -55, -142, -229? -316 What is the next term in 16, 19, 10, -11? -44 What is the next term in 40844, 81678, 122500, 163304, 204084, 244834, 285548, 326220? 366844 What is the next term in -3434, -3399, -3364, -3329, -3294, -3259? -3224 What is the next term in -18, -2, 50, 156, 334, 602? 978 What is the next term in 230, 500, 802, 1130, 1478, 1840, 2210? 2582 What is next in 1959269, 1959271, 1959273, 1959275, 1959277? 1959279 What is the next term in 233, 624, 1183, 1910, 2805, 3868, 5099? 6498 What is next in -14568, -14542, -14516, -14490, -14464, -14438? -14412 What is next in -467, -224, 19, 262, 505, 748? 991 What comes next: -21225, -21418, -21611? -21804 What is next in 4410, 4404, 4398, 4392, 4386, 4380? 4374 What comes next: -16936, -16937, -16938? -16939 What is next in -229, -414, -757, -1336, -2229, -3514? -5269 What is next in 384, 105, -176, -459, -744, -1031? -1320 What is next in 623, 2509, 5653, 10055, 15715, 22633? 30809 What is the next term in -84571, -169144, -253717? -338290 What is the next term in 96338, 96349, 96360, 96371, 96382? 96393 What is the next term in 179, 281, 457, 701, 1007, 1369? 1781 What is the next term in 269, 1998, 6631, 15620, 30417, 52474, 83243, 124176? 176725 What is next in 404, 782, 1166, 1562, 1976, 2414? 2882 What comes next: 221, 878, 1949, 3416, 5261, 7466, 10013, 12884? 16061 What is the next term in -3538, -3354, -3168, -2980, -2790? -2598 What is next in 84, 33, -152, -537, -1188, -2171, -3552? -5397 What is next in 3021, 6045, 9069, 12093, 15117? 18141 What comes next: 6105, 6179, 6253, 6327, 6401, 6475? 6549 What comes next: -6337, -12671, -19005? -25339 What comes next: -5263, -5246, -5229, -5212, -5195, -5178? -5161 What is next in 1180, 1150, 1072, 922, 676? 310 What is the next term in 79, 83, 45, -29, -133? -261 What comes next: -436529, -436531, -436533, -436535, -436537? -436539 What is next in -158, -551, -1190, -2075, -3206, -4583? -6206 What comes next: 72, 145, 304, 591, 1048, 1717, 2640, 3859? 5416 What is next in -9, -12, -45, -132, -297, -564, -957? -1500 What is the next term in 296, 1008, 2200, 3878, 6048, 8716? 11888 What comes next: 3113, 12752, 28819, 51314? 80237 What comes next: 23451, 23446, 23437, 23424, 23407? 23386 What comes next: -16798, -16796, -16794, -16792? -16790 What comes next: 56676, 56673, 56670, 56667, 56664, 56661? 56658 What is the next term in 13876, 14130, 14384? 14638 What comes next: -687, -705, -731, -765, -807, -857, -915? -981 What comes next: -70, -784, -2964, -7420, -14962, -26400, -42544, -64204? -92190 What is next in -772, -737, -676, -577, -428, -217, 68, 439? 908 What comes next: -1099, -1114, -1137, -1168, -1207? -1254 What is
{ "pile_set_name": "DM Mathematics" }
- 9)*(p - 6)*(p + 5318) Factor 4*o**2 - 46772*o + 44162608. 4*(o - 10657)*(o - 1036) Factor l**2/4 - 22651*l + 271803/4. (l - 90601)*(l - 3)/4 Find x such that -x**4/5 + 449*x**3/5 - 7739*x**2/5 - 8189*x/5 = 0. -1, 0, 19, 431 Let 2*b**5 + 164*b**4 + 3282*b**3 + 520*b**2 - 269600*b + 816000 = 0. What is b? -51, -20, 4, 5 Factor -23*f**2 - 3512789*f/5 + 30546/5. -(f + 30546)*(115*f - 1)/5 Determine u, given that -5*u**3 - 1101175*u**2 + 5*u + 1101175 = 0. -220235, -1, 1 Factor -33*s**3/7 - 19812*s**2/7 - 3467445*s/7 - 141447366/7. -3*(s + 271)**2*(11*s + 642)/7 Determine h so that -4*h**5/3 - 84*h**4 - 1112*h**3 + 12608*h**2/3 + 67200*h + 150528 = 0. -42, -21, -4, 8 Find r such that 2*r**3/13 - 5258476*r**2/13 = 0. 0, 2629238 Determine t so that -t**2/5 + 1345809*t/5 - 1345808/5 = 0. 1, 1345808 Let 2*v**5/7 - 6332*v**4 - 709540*v**3/7 - 3459480*v**2/7 - 6387102*v/7 - 3592836/7 = 0. What is v? -9, -3, -1, 22178 Determine l, given that -l**2/2 + 42543971*l - 1809989468448841/2 = 0. 42543971 Suppose -151321*t**2/4 - 3620812*t - 86638864 = 0. What is t? -18616/389 Determine o so that -801867*o**3 - 136376328*o**2 - 5798499888*o = 0. -43964/517, 0 Factor 2*g**4/9 + 7187468*g**3/9 + 6457462031378*g**2/9. 2*g**2*(g + 1796867)**2/9 Suppose -2*u**5 + 8704*u**4 - 9922254*u**3 + 971697752*u**2 + 981628712*u = 0. Calculate u. -1, 0, 109, 2122 Factor 2*t**2/7 + 7747072*t/7 + 7502140571648/7. 2*(t + 1936768)**2/7 Determine v so that -5*v**2 - 604785*v + 15122750 = 0. -120982, 25 Factor l**3 + 28*l**2 - 51308*l - 102720. (l - 214)*(l + 2)*(l + 240) Solve t**5/3 - 407*t**4/3 + 7867*t**3 - 276193*t**2/3 - 999922*t/3 - 233240 = 0 for t. -2, -1, 21, 49, 340 Let l**2/2 - 2772231*l + 11088916 = 0. Calculate l. 4, 5544458 Find m such that -8712*m**3 - 61131840*m**2 + 1852486*m - 14034 = 0. -7017, 1/66 Suppose -n**2 + 373091*n - 5969200 = 0. What is n? 16, 373075 What is q in 2*q**3/9 - 776*q**2 - 5010218*q/9 - 4989248/3 = 0? -608, -3, 4103 Factor 2*r**4/9 + 17456*r**3/9 + 38709632*r**2/9 + 299705344*r. 2*r*(r + 72)*(r + 4328)**2/9 Find n such that -3*n**4/8 - 171*n**3/2 - 33993*n**2/8 - 49692*n + 272322 = 0. -164, -41, -27, 4 Solve -2*k**3/7 + 51736*k**2/7 + 1968712*k/7 + 3730464/7 = 0. -36, -2, 25906 Factor h**2/6 + 505*h/6 - 32809. (h - 258)*(h + 763)/6 Factor -5*b**2 + 424465*b + 163731840. -5*(b - 85277)*(b + 384) Suppose -3*l**4/4 - 33417*l**3/4 + 150489*l**2/2 - 50178*l - 133776 = 0. Calculate l. -11148, -1, 2, 8 Let 4*m**3/5 + 13792*m**2/5 - 21802428*m/5 - 21816216/5 = 0. Calculate m. -4626, -1, 1179 Factor h**4/9 + 1952*h**3/3 + 40943*h**2/9. h**2*(h + 7)*(h + 5849)/9 Suppose -5*l**2 - 6314430*l + 6314435 = 0. What is l? -1262887, 1 Suppose 16*v**5 + 8252*v**4 - 1827936*v**3 + 76944532*v**2 + 823079840*v - 210550464 = 0. What is v? -691, -9, 1/4, 92 Factor a**3/10 - 240448*a**2/5 + 20196309*a/10 - 106028307/5. (a - 480854)*(a - 21)**2/10 Factor i**2 + 8632*i - 1631145. (i - 185)*(i + 8817) Solve -2*z**5/7 - 926*z**4/7 - 53628*z**3/7 + 9191376*z**2/7 = 0 for z. -348, -186, 0, 71 Determine z, given that 3*z**3 - 281196*z**2 + 6715619820*z - 5893037841600 = 0. 912, 46410 Solve 4*s**4 + 16912*s**3 - 305712*s**2 = 0 for s. -4246, 0, 18 Suppose -2*p**5/5 - 178366*p**4/5 - 1961798*p**3/5 - 1248114*p**2/5 + 26216568*p/5 = 0. Calculate p. -89172, -7, 0, 3 Find y, given that 2*y**5/25 - 78364*y**4/25 - 15686*y**3/5 + 2507592*y**2/25 + 940392*y/5 = 0. -5, -2, 0, 6, 39183 Suppose 81*t**5/4 - 243*t**4 - 3672009*t**3/2 - 206416071*t**2 - 547994999*t/4 - 22799128 = 0. What is t? -509/3, -1/3, 352 What is p in -6*p**4/5 - 402*p**3/5 + 16104*p**2 + 85800*p - 820800 = 0? -152, -10, 5, 90 Factor -n**3 + 125305*n**2 - 3927527675*n + 137310012875. -(n - 62635)**2*(n - 35) Let 129511997568*o**5/7 - 712311915072*o**4/7 - 380463886360*o**3/7 - 48578959448*o**2/7 - 1526926*o/7 - 12/7 = 0. What is o? -1/4, -1/63618, 6 What is d in -5*d**4 + 13455*d**3 - 187235*d**2 - 414855*d - 214160 = 0? -1, 16, 2677 Factor 2*u**3/7 + 6656*u**2 - 93190*u/7 + 46596/7. 2*(u - 1)**2*(u + 23298)/7 Determine k so that -7015*k**5 + 589265*k**4/3 + 3766915*k**3/3 - 9723685*k**2/3 + 770*k = 0. -7, 0, 1/4209, 2, 33 Find k, given that k**2 + 181944*k - 545841 = 0. -181947, 3 Let z**2/3 + 62648*z + 2067021 = 0. What is z? -187911, -33 Suppose -5*g**3 + 1794125*g**2 - 114808640*g + 1836856320 = 0. What is g? 32, 358761 Solve 5*f**2/2 + 363285*f/2 + 7806005 = 0 for f. -72614, -43 Factor -3*x**3 - 10005*x**2/4 + 283257*x/2 - 7766037/4. -3*(x - 27)**2*(4*x + 3551)/4 Determine n so that -16*n**5 + 172*n**4 + 2460*n**3 - 13396*n**2 - 121100*n - 29400 = 0. -7, -1/4, 10, 15 Let -4*w**2 + 40026512*w + 200132660 = 0. What is w? -5, 10006633 Factor l**2/6 + 3840821*l/3 - 10242200. (l - 8)*(l + 7681650)/6 Determine l, given that -l**5/2 - 395*l**4/2 - 13257*l**3/2 + 110043*l**2/2 - 48195*l = 0. -357, -45, 0, 1, 6 Solve -2*v**3 - 5474574*v**2 - 3746367322896*v + 3746372797472 = 0. -1368644, 1 Determine v, given that 6*v**4 + 18423*v**3 + 338532*v**2 - 732357*v + 375396 = 0. -3052, -41/2, 1 Let 3*v**3 - 41907*v**2 - 17385123*v - 1777138125 = 0. Calculate v. -203, 14375 Suppose 10*z**3/7 + 2458*z**2/7 + 32408*z/7 + 12992 = 0. What is z? -232, -49/5, -4 Factor -n**2 - 6768*n - 1909535. -(n + 295)*(n + 6473) Factor -2500*z**3 - 2767800*z**2 - 19611684*z - 34852400. -4*(z + 1100)*(25*z + 89)**2 Factor 2*v**3/7 + 144*v**2/7 - 5118*v/7 - 285196/7. 2*(v - 47)*(v + 37)*(v + 82)/7 Let u**5 - 3626*u**4 + 454211*u**3 + 941078*u**2 - 2285592*u - 2768832 = 0. Calculate u. -3, -1, 2, 132, 3496 Factor v**4/2 + 2403*v**3/2 - 1745730*v**2. v**2*(v - 1020)*(v + 3423)/2 Factor -5*g**3 - 85740*g**2 - 363765780*g + 32678766560. -5*(g - 88)*(g + 8618)**2 Let -98*y**5/11 + 1180*y**4/11 + 65816*y**3 - 4394864*y**2/11 - 1350158336*y/11 + 55115776/11 = 0. What is y? -58, 2/49, 64 Let 24077*i**2/4 - 71883*i/4 - 261 = 0. Calculate i. -348/24077, 3 Factor q**3 + 111957*q**2 + 3150818208*q + 962942563584. (q + 309)*(q + 55824)**2 What is w in -2*w**2/7 + 88304434*w/7 = 0? 0, 44152217 Find j, given that 3*j**3 + 9843*j**2 + 192285*j - 11005875 = 0. -3261, -45, 25 Determine a so that -a**4/4 - 2933*a**3/4 - 509007*a**2/4 + 5310545*a/4 - 3365075 = 0. -2747, -196, 5 Suppose -3*o**5/2 - 28785*o**4/2 - 28779*o**3 = 0. Calculate o. -9593, -2, 0 Suppose -6*f**5/13 + 19814*f**4/13 - 124630*f**3/13 - 2036550*f**2/13 - 1246084*f/13 + 646016/13 = 0. What is f? -7, -1, 1/3, 14, 3296 Determine s, given that -2*s**3/7 + 2610626*s**2/7 + 7831892*s/7 + 5221264/7 = 0. -2, -1, 1305316 Factor 2*a**2 - 4806*a + 2848840. 2*(a - 1340)*(a - 1063) Suppose -4*f**5 + 8888*f**4 + 53456*f**3 + 35744*f**2 - 213760*f - 285184 = 0. Calculate f. -4, -2, 2, 2228 Factor 4*t**2 + 154536*t - 125384220. 4*(t - 795)*(t + 39429) Let 4*x**3 - 31416*x**2 + 1405620*x = 0. What is x? 0, 45, 7809 Factor -h**5 - 4673*h**4 - 3950443*h**3 + 3742709229*h**2. -h**2*(h - 549)*(h + 2611)**2 Suppose -4*t**2 + 305244*t + 3052840 = 0. Calculate t. -10, 76321 Solve 4*c**5 + 14304*c**4 - 272876*c**3 + 1236264*c**2 - 1495520*c = 0. -3595, 0, 2, 4, 13 What is m in 4*m**2 + 45732*m - 9543160 = 0? -11638, 205 Factor 5*o**2/6 + 1124405*o/3 - 56226500/3. 5*(o - 50)*(o + 449812)/6 Factor y**2/3 - 312236*y/3 - 624476/3. (y - 312238)*(y + 2)/3 Let -m**5 - 485*m**4 + 3484*m**3 + 19724*m**2 + 21648*m = 0. Calculate m. -492, -2, 0, 11 Suppose 2*y**4/11 + 240634*y**3/11 + 5293098*y**2/11 + 14194886*y/11 + 9142420/11 = 0. What is y? -120295, -19, -2, -1 Suppose 2*q**2/11 + 78130*q/11 - 5949432/11 = 0. Calculate q. -39141, 76 Find q, given that 5*q**5 - 518555*q**4 + 1555625*q**3 - 518525*q**2 - 1555630*q + 1037080 = 0. -1, 1, 2, 103708 Determine h so that -3*h**4 - 2418*h**3 - 147915*h**2 + 460716*h - 310380 = 0. -739, -70, 1, 2 Determine n so that n**5/2 - 326*n**4 + 39032*n**3 + 79699*n**2 - 78065*n/2 - 79373 = 0. -2, -1, 1, 161, 493 Determine n, given that 3*n**2 - 51429108*n + 220412762472972 = 0. 8571518 Factor o**2/10 - 333295664*o/5 + 55542999820600448/5. (o - 333295664)**2/10 Factor -4*t**2 - 135723068*t - 407169168. -4*(t + 3)*(t + 33930764) Factor 87*x**2/4 + 81633*x/4 + 175125/2. 3*(x + 934)*(29*x + 125)/4 Factor -x**2 + 53131822*x - 705747627259921. -(x - 26565911)**2 Find c, given that -c**3/3 + 4788514*c
{ "pile_set_name": "DM Mathematics" }
8*c - 5200. Let v(l) = 20*k(l) - 5*p(l). Determine a, given that v(a) = 0. -12, -1, 3 Let d = -241103 - -241105. Solve 9/7*q + 0 - 1/7*q**d = 0. 0, 9 Let a(c) = -120*c**2 - 4*c. Let l be a(3). Let v be 4/22 - l/286. Factor 45*i**5 + 20*i**v + 3*i**3 - 49*i**5 - 27*i**3. -4*i**3*(i - 3)*(i - 2) Let d(p) be the second derivative of -1/11*p**4 + 7*p - 4/33*p**3 - 1/66*p**5 + 0 - 9/2*p**2. Let u(j) be the first derivative of d(j). Factor u(i). -2*(i + 2)*(5*i + 2)/11 Let y(o) = 3*o - 52. Let v be y(16). Let h = v + 6. Let 6*i**2 - 162 - 8*i**h + 9*i + 27*i = 0. What is i? 9 Let h(c) be the first derivative of -c**6/1980 + 7*c**5/660 - c**4/22 + 47*c**3/3 - 75. Let q(y) be the third derivative of h(y). Suppose q(m) = 0. What is m? 1, 6 Let v(b) be the third derivative of 0*b + 0 - 11/60*b**6 - 3/4*b**4 + 19/30*b**5 - 150*b**2 + 0*b**3 + 1/105*b**7. Factor v(o). 2*o*(o - 9)*(o - 1)**2 Let p(h) = -12*h**2 - 48*h + 3. Let w be p(-4). Let f(m) be the first derivative of 6*m**2 - 3/2*m**3 - 3/4*m**4 - w - 6*m + 3/10*m**5. Factor f(v). 3*(v - 2)*(v - 1)**2*(v + 2)/2 Let p(i) be the third derivative of 0 - 3*i**2 - 1/5*i**3 + 1/30*i**4 + 1/150*i**5 - 15*i. What is h in p(h) = 0? -3, 1 Suppose -4*y + 5 = j, 2*y + 2 + 9 = -5*j. Let v be y/(-3)*(-693)/385. Find i such that 4/5*i + 0 + v*i**2 + 2/5*i**3 = 0. -2, -1, 0 Let j = 4232 - 4232. Let h(y) be the third derivative of -1/60*y**6 + 0*y - 1/40*y**5 + 0 + 0*y**4 - 8*y**2 + j*y**3 - 1/420*y**7. Factor h(b). -b**2*(b + 1)*(b + 3)/2 Let v(j) be the first derivative of 5*j**6/6 + 27*j**5 + 425*j**4/2 + 1790*j**3/3 + 1545*j**2/2 + 475*j - 2667. Let v(r) = 0. Calculate r. -19, -5, -1 Suppose 20 = 2*w - 68. Let f(m) = -2*m**3 - 26*m**2 + 6*m. Let n(b) = -b**2. Let p(o) = w*n(o) - 2*f(o). Factor p(j). 4*j*(j - 1)*(j + 3) Let v(o) be the second derivative of -o**7/168 - o**6/80 + o**5/20 - o**4/6 + 7*o**2/2 + 2*o. Let d(l) be the third derivative of v(l). Factor d(n). -3*(n + 1)*(5*n - 2) Let g(x) be the second derivative of x**5/90 + 247*x**4/54 + 485*x**3/9 + 241*x**2 - 136*x - 12. Determine y, given that g(y) = 0. -241, -3 Let z(o) be the third derivative of o**7/35 - 19*o**6/6 + 953*o**5/30 - 731*o**4/6 + 232*o**3 + 3*o**2 + 1077. Solve z(w) = 0. 1, 4/3, 3, 58 Let v(w) = w**3 + 20*w**2 + 38*w + 36. Let p be v(-18). Suppose p = -15*n + 42 + 18. Suppose -9/2*a - 1/2*a**2 - n = 0. Calculate a. -8, -1 Let z(s) = s**3 + 3*s**2 - 9*s - 20. Let r be z(-2). Factor 12*a**3 - 12*a - 2*a**4 + 6 - 19 + 18*a**2 - r - a**4. -3*(a - 5)*(a - 1)*(a + 1)**2 Let t(x) be the third derivative of x**7/2520 - x**6/540 - x**5/90 - 71*x**4/24 + 2*x**2 + 65. Let v(r) be the second derivative of t(r). Factor v(l). (l - 2)*(3*l + 2)/3 Let m = 72162 - 288645/4. Determine x so that 5/4*x**2 + 1/4*x**5 - m*x**3 + 0 - 1/4*x**4 - 1/2*x = 0. -2, 0, 1 Factor 0 - 1/8*m**4 + 0*m - 31/2*m**2 + 125/8*m**3. -m**2*(m - 124)*(m - 1)/8 Let z be (1 + -61)/6*(-272)/96. Let w(q) be the first derivative of -5*q**5 - 45/2*q**4 + 20*q + 0*q**2 - z*q**3 + 12. Solve w(d) = 0 for d. -2, -1, 2/5 Suppose 5*b - 9*b + 12 = 0. Let p be 1/(-2)*b/((-3)/4). Solve 5*z + 4*z**p + 3 - 1 + z = 0. -1, -1/2 Solve 704/3*d + 1/3*d**2 - 235 = 0. -705, 1 Solve 41*o**2 + 49*o**3 - 61*o + 363*o - 94*o**3 + 448 + 46*o**3 = 0 for o. -32, -7, -2 Let m be (-3 - -5)/2*-1 - -1. Suppose 20 = 5*q, m*f - 4 = f - q. Factor 2/3*n**2 - 1/3*n + f. n*(2*n - 1)/3 Let x(p) be the first derivative of -4*p**3 + 86*p**2 + 624*p + 1676. Suppose x(h) = 0. What is h? -3, 52/3 Suppose 2*f + z - 27 = -30, 0 = 3*f + 5*z + 29. Let n(p) be the first derivative of 1/14*p**4 + 2/7*p**3 + 0*p - 29 - 4/7*p**f. Let n(i) = 0. Calculate i. -4, 0, 1 Let b(g) be the second derivative of 0 - 1/5*g**5 + 173*g - 8/3*g**3 + 0*g**2 + 4/3*g**4. Factor b(d). -4*d*(d - 2)**2 Suppose 3*h + 14 = -5*n + 39, 0 = 5*n - h - 45. Factor -n*c**5 + 5*c**4 - 11*c**4 - 2*c**3 + 16*c**4. -2*c**3*(c - 1)*(4*c - 1) Let s(n) = 6*n**2 + 16*n + 4. Let f be s(-6). Suppose -472 - 144 - 99 - 5 + f*w**2 - 24*w**3 + 624*w - 4*w**4 = 0. What is w? -6, 1, 5 Let z(a) be the third derivative of -a**8/36960 + a**7/6930 + a**6/1320 - 13*a**4/12 - a**3/6 + 44*a**2. Let l(w) be the second derivative of z(w). Factor l(o). -2*o*(o - 3)*(o + 1)/11 Let p(x) = -29*x**3 + 271*x**2 - 971*x + 54. Let b(f) = 7*f**3 - 68*f**2 + 243*f - 12. Let t(z) = -9*b(z) - 2*p(z). Factor t(l). -5*l*(l - 7)**2 Solve 513/2 + 3/4*c**2 - 141/4*c = 0. 9, 38 Let d = 59098/5 - 11819. Determine f so that 2/5 - d*f - 4*f**2 = 0. -2/5, 1/4 Factor -116*l**2 - 95*l + 2*l**4 + 6*l**3 - 161*l - 224*l. 2*l*(l - 8)*(l + 5)*(l + 6) Let x(y) be the second derivative of -y**4/3 - 60*y**3 + 182*y**2 + 289*y. Factor x(p). -4*(p - 1)*(p + 91) Let n = -31 - -41. Suppose -20 = -2*x + 2*w, -x + w = 4*w + n. Find k, given that -53*k**2 + 5*k**3 + 2*k**x + 58*k**2 - 5*k**4 - 7*k**5 = 0. -1, 0, 1 Factor -3/7*h**2 + 216/7 - 9*h. -3*(h - 3)*(h + 24)/7 Factor 3*r**3 + 24*r + 195*r**2 - 30*r + 198*r. 3*r*(r + 1)*(r + 64) Determine q, given that 2/5*q**4 + 0 + 374/5*q**2 + 186/5*q + 38*q**3 = 0. -93, -1, 0 Let s be 10 - 39/4 - 583/620. Let h = 40/31 + s. Factor 0 + h*z**5 + 0*z + 6/5*z**3 - 9/5*z**4 + 0*z**2. 3*z**3*(z - 2)*(z - 1)/5 Let w = 22 + 104. Suppose -5*o - w = -11*o. Suppose -24*p + 1 + 5*p**5 + o*p**4 - 2*p**5 + 19 + 28 + 21*p**3 - 69*p**2 = 0. Calculate p. -4, -1, 1 Let r be (-5)/(18 + -8)*(-88)/33. Solve r*j**5 - 32/3*j**4 - 103/3*j**2 + 17*j - 3 + 89/3*j**3 = 0 for j. 1/2, 1, 3 Let s(q) be the first derivative of q**5/100 + q**4/5 + 8*q**3/5 + 32*q**2/5 + 168*q - 54. Let d(z) be the first derivative of s(z). Factor d(h). (h + 4)**3/5 Let t(p) be the first derivative of p**6/8 + 11*p**5/4 - 41*p**4/16 - 55*p**3/12 + 19*p**2/4 - 1001. Determine u, given that t(u) = 0. -19, -1, 0, 2/3, 1 Let y(b) = -11*b**5 + 55*b**3 + 71*b**2 - 28*b. Let m(a) = -10*a**5 + 54*a**3 + 70*a**2 - 24*a. Let h(t) = 7*m(t) - 6*y(t). Factor h(p). -4*p**2*(p - 4)*(p + 2)**2 Factor 3353*v**3 + 3*v**4 + 290*v**3 + 6671880*v**2 + 1921480800*v + 4103*v**3 + 3816336000. 3*(v + 2)*(v + 860)**3 Let w(a) = -a + 0 + 1 - a**3 + 152*a**2 - 151*a**2. Let u(b) = 15*b**5 - 21*b**4 - 81*b**3 - 3*b**2 + 60*b + 30. Let k(j) = -u(j) + 3*w(j). Solve k(x) = 0. -1, -3/5, 1, 3 Let j(o) be the third derivative of 1/36*o**4 + 0 + 1/630*o**5 + 24*o**2 + 0*o + 0*o**3. Factor j(h). 2*h*(h + 7)/21 Suppose 5*p = -3*j - 12 + 47, -2*j + 14 = 2*p. Suppose 19 = -p*l + 8*l. Let -2*h - 11*h**2 + 7*h + 25 + 0*h - l = 0. Calculate h. -6/11, 1 Let h be 1 - (-42)/(-48)*1. Let z be (-273)/27 + 10 - (-1 - -2)/(-9). Factor 1/8*n**2 - h*n**4 + 0*n + 1/8*n**3 - 1/8*n**5 + z. -n**2*(n - 1)*(n + 1)**2/8 Let m(x) = -420*x**2 + 24380*x - 7035. Let y(d) = 35*d**2 - 2032*d + 586. Let g(s) = -2*m(s) - 25*y(s). Determine a so that g(a) = 0. 2/7, 58 Let j be (-6)/(-1) + ((-1545)/(-9))/((-1020)/(-408)). Find r, given that j*r - 98/3*r**5 - 32/3 + 350/3*r**4 - 368/3*r**2 - 176/3*r**3 = 0. -1, 2/7, 2 Let j(u) = -5*u**2 - 313*u - 209. Let f(q) = -3*q**2 - 162*q - 105. Let s(t) = -11*f(t) + 6*j(t). Factor s(b). 3*(b - 33)*(b + 1) Let h(t) = t**2 - 640*t + 2709. Let q(v) = 1280*v - 5395. Let g(s) = 5*h(s) + 3*q(s). Let g(r) = 0. What is r? -132, 4 Let b = 49 + -33. Let g be b/9 + 12/54. Determine i, given that -3*i**2 - 3*i**4 - i - 3*i**g + i**3 + 11*i**2 - 2 = 0. -1, -2/3, 1 Let m(o) be the second derivative of -2*o**7/21 + 126*o**6/5 - 559*o**5/5 + 61*o**4 + 1120*o**3/3 - 744*o**2 - 22*o - 69. What is c in m(c) = 0? -1, 1, 2, 186 Let v(u) = 56*u**5 + 24*u**4 + 19*u**3 + 2*u**2 - 49*u - 26. Let q(w) = -13*w**5 - 6*w**4 - 5*w**3 + 12*w + 6. Let x(b) = -26*q(b) - 6*v(b). Factor x(l). 2*l*(l - 1)*(l + 1)*(l + 3)**2 Factor -159 - 143 + 15*x - 141 + 115 + 309*x + 4*x**2. 4*(x - 1)*(x + 82) Let r(i) be the first derivative of 2/3*i**3 + 0*i**2 + 1/6*i**6 - 30 + 4/5*i**5 + 5/4*i**4 + 0*i. Factor r(o). o**2*(o + 1)**2*(o + 2) Suppose 9 = -c + 2*s, -4*s + 4 = 4*c - 2*s. Let r be c - (-7)/5 - (-295)/75. Find u such that -r*u**2 - 16*u - 1/3*u**3 - 12 = 0. -6, -1 Factor -36 + 201*s + s**4 - 87*s**2 + 18 - 52 - 52*s + 4*s**3 + 3*s**3. (s - 5)*(s - 1)**2*(s + 14) Suppose -5*q + 1022 = 2*f, 5*q + 1356 = 5*f - 1164. Determine x, given that 5*x + 2*x**2 - 505 + 1005 - f - x**3 = 0. -2, 1, 3
{ "pile_set_name": "DM Mathematics" }
4) + sqrt(204))/sqrt(12))). -4*sqrt(17) + 22100 Simplify 0 + 5 + 1 + sqrt(175) + (sqrt(84) - 3*(sqrt(84) + -2*sqrt(84)))/(sqrt(108)/(-1*sqrt(9))). sqrt(7) + 6 Simplify 2*(sqrt(500)*1 + 3)**2 - ((-3 + (sqrt(180) + -3 - sqrt(180) - sqrt(180) - sqrt(180)))*-5)**2. -17882 - 3480*sqrt(5) Simplify ((-3 + 4 + sqrt(171) + 1 + -4*(sqrt(171) - -5*(0 + sqrt(171))))**2 + 0)*-6 + 4. -542774 + 1656*sqrt(19) Simplify (2 + 4 + sqrt(272) + (sqrt(272) + 0)*-2)**2 + 4 + 3*sqrt(612) + (-1*sqrt(17)*2)**2. -30*sqrt(17) + 380 Simplify ((5 + (sqrt(242)*-1 - sqrt(242)) + -5 + sqrt(242) - (-2*sqrt(162) + sqrt(162) - sqrt(18))/(sqrt(99)/(sqrt(11) - sqrt(11)*2))) + 4)**2*2. -240*sqrt(2) + 932 Simplify ((1*sqrt(81)*3)/sqrt(9)*-1)/((2*sqrt(243) - sqrt(21)/sqrt(63))*3). -3*sqrt(3)/53 Simplify (5*(sqrt(84) - -2*(sqrt(84) - (sqrt(84)*2 - sqrt(84))))*4)/((1*sqrt(132)*5)/(sqrt(176) + (sqrt(176) - sqrt(176)*1))). 16*sqrt(7) Simplify 3 + 1*(sqrt(77) + -2*(sqrt(77)*-2 + sqrt(77)) + sqrt(77))/((4*sqrt(77))/sqrt(7)) + 0. sqrt(7) + 3 Simplify (sqrt(405)/(sqrt(54)/sqrt(6)) + (sqrt(450) - (-1*sqrt(450) + sqrt(450)))/sqrt(10))/(4*sqrt(900)*1*6). sqrt(5)/120 Simplify 6*(sqrt(24)/((sqrt(88)*-2)/sqrt(11)) + 4 + -2 + 0 + sqrt(192) + -4)*1. -12 + 45*sqrt(3) Simplify ((sqrt(52)*-2*-2)/(1*sqrt(32)))/(-5*(sqrt(162) - sqrt(162)*3)*-3). -sqrt(13)/270 Simplify 1*(-2*(sqrt(171) + (sqrt(171) - ((3 + sqrt(171))*-4 + sqrt(171)))**2) - (sqrt(171)*-4*5 + sqrt(171))**2*1). -67491 - 582*sqrt(19) Simplify 5 + 3 + 6*(sqrt(132) - (sqrt(132) - 1*sqrt(132)*4 - sqrt(132)))/(2*sqrt(768))*-5. -75*sqrt(11)/8 + 8 Simplify sqrt(90)/sqrt(2) + -4 - (sqrt(180)*-1)**2 - -1*sqrt(180)/(sqrt(20)/sqrt(5)). -184 + 6*sqrt(5) Simplify (-1*(1*(0 + sqrt(2)) + -4) + ((sqrt(72) - 2*sqrt(72)) + 4)*-4)*4. -48 + 92*sqrt(2) Simplify (0 + (3*2*(-2*sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132)))/(sqrt(432)*1 - sqrt(768)*-2)*-1)**2. 441/11 Simplify ((5*(1 + sqrt(112)) + (sqrt(112) - (sqrt(112) + 1))*-1 - (1 + sqrt(112)*2 - (sqrt(112)*-1 + 0 - sqrt(112))))**2*1 + -3)*1. 40*sqrt(7) + 134 Simplify (-2*6*(-5 + (sqrt(36) + (sqrt(36) - -2*sqrt(36)))/sqrt(12) + -3)*-3)**2. -82944*sqrt(3) + 145152 Simplify (5*(sqrt(77) - 1*sqrt(77))*2)/((sqrt(448) - (sqrt(448)*1 - sqrt(448))*5) + sqrt(448)) + -1. -1 Simplify ((sqrt(38) - (sqrt(38) - (-2*sqrt(266))/sqrt(7)))/sqrt(162) - 4*(-4 + sqrt(1216)*-1 + sqrt(1216)))**2. -64*sqrt(19)/9 + 20812/81 Simplify -2 + ((4*-5*(sqrt(102) + sqrt(102)*-4))/((sqrt(42) - sqrt(126)/sqrt(243))/sqrt(7)))**2. 309817/4 Simplify (0 + -1*(-3 + -4 + sqrt(80) + (sqrt(80) - (-6*(sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*2) - sqrt(80))) - sqrt(80))))*5)**2. -4200*sqrt(5) + 19225 Simplify (2*(sqrt(475) + -1 + 3 + 4) + 6*((sqrt(475) + sqrt(475) + sqrt(475) + 1)*-1 - -2*-1*sqrt(475)))*-2. -12 + 280*sqrt(19) Simplify -1*(-3*(-3 + sqrt(98)) + (sqrt(98) - sqrt(98)*-1 - sqrt(98)) + 0 + 3*sqrt(98)*-1 + sqrt(98) + sqrt(98) + -2 + sqrt(98) + 4 + sqrt(98))**2. -219 + 154*sqrt(2) Simplify 3 + ((sqrt(170)/(sqrt(35)/sqrt(7)*4))/(sqrt(242)*-5*-2))**2. 580817/193600 Simplify (0 + -2 + -2 + -2*sqrt(325) - (-4 + sqrt(1573)*-1*-4 + -4))**2. -432*sqrt(13) + 37924 Simplify (-3*(sqrt(152) + sqrt(152)*2 - sqrt(152)) + (4*1*sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152))/(-3*sqrt(72)/sqrt(9) + -1*sqrt(288)). sqrt(19)/9 Simplify ((-3*(-1*sqrt(187) + sqrt(187)) - sqrt(187))/(sqrt(44)/sqrt(4)*3) + -2 + -3 + -3 + sqrt(153))**2. -128*sqrt(17)/3 + 1664/9 Simplify ((4*sqrt(7)*5 - (sqrt(70)/sqrt(10) + 0)) + (1*sqrt(14)/sqrt(2) - (3 + sqrt(175) + sqrt(7))))**2. -84*sqrt(7) + 1381 Simplify 0 + ((sqrt(1573)*1)**2 - sqrt(1573)) + (-2*sqrt(1872))**2 + ((sqrt(65)/sqrt(5) + -5)**2 - sqrt(13) - sqrt(52)/(sqrt(12)/sqrt(3))). -23*sqrt(13) + 9099 Simplify ((sqrt(6048)*1 + 3*sqrt(6048))/(3*-3*sqrt(48)/(sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))))**2. 1792/9 Simplify -4 + (4*(0 + sqrt(2205)))**2 + ((sqrt(15) - 2*sqrt(1500))/(sqrt(36)/(sqrt(12)*1 - sqrt(12) - sqrt(12))))**2. 37081 Simplify -3*(-4 + -6*((sqrt(20)/((sqrt(576) - sqrt(16) - sqrt(16))/sqrt(8)))/(sqrt(8)*-1 + sqrt(2) + 6*(sqrt(8) - sqrt(2))))**2). 489/40 Simplify sqrt(242)*2*4 + sqrt(242)*1 + 4 + -2*(sqrt(242) - (sqrt(242) - (sqrt(242) + (sqrt(242) + 2 + (2*sqrt(242) - sqrt(242)))**2)))*3. -5828 - 495*sqrt(2) Simplify (sqrt(126)/(sqrt(27)/sqrt(3)))/(sqrt(252) - sqrt(252)*2) + 5 + sqrt(162)*2 + sqrt(162) + 1*sqrt(162)*-6. -163*sqrt(2)/6 + 5 Simplify (1*((sqrt(147) - (5*sqrt(147) + 4)) + 0 + 2*(-1 + sqrt(147)*-6))*-3)**2. 12096*sqrt(3) + 339012 Simplify (-3 + 1 + ((1 + sqrt(5)*1 - sqrt(5)) + sqrt(5))**2 + sqrt(5) + (sqrt(25)/(sqrt(25)/sqrt(5)))**2 + (2*sqrt(35)/sqrt(7))**2)*-6. -174 - 18*sqrt(5) Simplify (((sqrt(1960) + sqrt(1960) + 2*sqrt(1960) + sqrt(1960))*1)/(-4*sqrt(36)/sqrt(2)*-6))**2. 6125/1296 Simplify 1 + 1*6*sqrt(1331)*2 + 5 + ((3*2*sqrt(539))**2 - sqrt(539)) + -3. 125*sqrt(11) + 19407 Simplify (-4*-1*sqrt(99) - sqrt(99))/(-3*(sqrt(36)/sqrt(4) + sqrt(9))) + (sqrt(396)/(sqrt(9)*-2))/(sqrt(196) - (sqrt(196) - -2*sqrt(196))). -13*sqrt(11)/28 Simplify ((sqrt(684)*-1 + -2 - (-1*sqrt(684) + sqrt(684))*4) + -5 - (sqrt(684) + (sqrt(684) - sqrt(684)*-1*1) + 4)*4)**2. 3588*sqrt(19) + 116125 Simplify (-1*(sqrt(76) - 5*(sqrt(76) - -2*sqrt(76)))*-4)/(sqrt(1296)*3*-5 + sqrt(1296)). 2*sqrt(19)/9 Simplify (-2*(sqrt(50)/(sqrt(5) - sqrt(45)) + -2*sqrt(40) + sqrt(40)))/((sqrt(405) + 3*sqrt(405) - sqrt(5)) + (sqrt(80) - 3*sqrt(80))). 5*sqrt(2)/27 Simplify 4 + ((sqrt(352) - 5*1*sqrt(352)) + sqrt(352) + 5*1*sqrt(352))/(sqrt(99) - ((1*sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99))*-3). 8*sqrt(2)/21 + 4 Simplify (((3*-1*sqrt(1700) - (sqrt(1700) - (sqrt(1700) - (-1 + sqrt(1700) + -1 - sqrt(1700))))) + (sqrt(1700) + sqrt(1700) + -1 + 3)*6)*-5)**2. 63000*sqrt(17) + 3447400 Simplify -2*(((sqrt(77)*-1*1)/sqrt(7) + ((sqrt(11) + 1 + sqrt(11) + -5)*3)**2)*4 + 3). -4326 + 1160*sqrt(11) Simplify -6*((3 + sqrt(242)*3 - sqrt(242))*2 - (6*sqrt(242)*1 - sqrt(242) - 5*sqrt(242)*-1))**2. -52488 + 4752*sqrt(2) Simplify (sqrt(243) - -6*(-5*sqrt(243))**2) + (sqrt(243) + 2)*3 + -6*(sqrt(243) + 1*-1*sqrt(243) + -3)**2. 36*sqrt(3) + 36402 Simplify ((sqrt(77) + -1*sqrt(77)*-2)/(sqrt(704)*4 - sqrt(704)))**2 - (1*sqrt(84)*3)/((3*sqrt(1200) - sqrt(1200)) + sqrt(1200)). -sqrt(7)/10 + 7/64 Simplify ((sqrt(264)*1 + sqrt(264))/sqrt(8))/(sqrt(3) + sqrt(75) + (3*sqrt(75) - sqrt(75))) + (3*sqrt(110)*-1)/((sqrt(500) - sqrt(20))/sqrt(2) + sqrt(10)). -19*sqrt(11)/40 Simplify ((-5*(sqrt(170) - -1*sqrt(170)*-2)*5)/(-5*sqrt(30)/sqrt(3) + sqrt(10) + sqrt(490)*-2))**2. 10625/324 Simplify (-3*1*sqrt(243)*1 + 4 - (-4 + sqrt(243) + 2*sqrt(243)*-1 + 1))**2. -252*sqrt(3) + 1021 Simplify 3 + (4*-1*(sqrt(266)/sqrt(28))/(-4*(sqrt(2) + 2*sqrt(2)) + sqrt(2)))**2*-6. -93/121 Simplify (1 + (sqrt(300) + (sqrt(300) + 2 - sqrt(300)) + sqrt(300))**2*5 + -1*sqrt(300)*2)*-1*-2*-5. -60210 - 3800*sqrt(3) Simplify -5*(1 + -3 + (sqrt(200) - ((0 + sqrt(200) - sqrt(200)) + sqrt(200))))**2 + -1 + sqrt(2) + -2 + (0 + sqrt(242))**2 + -3. sqrt(2) + 216 Simplify ((3*sqrt(170)*-1 - sqrt(170)) + 1*sqrt(170)*-2)/(sqrt(100)/(5*-3*sqrt(10))). 90*sqrt(17) Simplify (2*-5*sqrt(448)*-3*1 + 2*(sqrt(448) + 3)*-2*1)**2. -4992*sqrt(7) + 302992 Simplify 4 + -4*((sqrt(2736) - (2*sqrt(2736) - sqrt(2736))) + -4 - (sqrt(2736) + sqrt(2736) + 3 + -2))**2*-3 + 0. 2880*sqrt(19) + 131632 Simplify 6*(3 + (sqrt(175)*2*2 - (sqrt(175) + -1*sqrt(175)*2)))*2. 36 + 300*sqrt(7) Simplify (-1*(sqrt(104) - 3*sqrt(104)*3)*3)/(sqrt(392) - sqrt(392)*-1 - (4*sqrt(96))/sqrt(12)). 12*sqrt(13)/5 Simplify ((4*sqrt(32) + 1*-2*sqrt(8))/(((sqrt(120) - (sqrt(120) - -2*sqrt(120)))/sqrt(6))/sqrt(5)))**2 + 0. 18 Simplify (6*(-2 + (-2 + sqrt(102)/sqrt(6))*2 + 4*(1 + sqrt(425))*-6))**2. 254880*sqrt(17) + 8553888 Simplify (1 + 1*(((sqrt(5) + -2)*6 - (sqrt(160)/sqrt(4))/sqrt(8)) + (sqrt(360)*1)/(-2*sqrt(392) + sqrt(8))))**2*5. -6820*sqrt(5)/13 + 198345/169 Simplify (-2*sqrt(21)*-6)/(sqrt(30)/(sqrt(10) + sqrt(40) - sqrt(10) - sqrt(10))) + -6*((1*sqrt(336))/sqrt(12) + -1). 6 Simplify (sqrt(114)/(sqrt(3)*-2))/(1*sqrt(32)) - ((sqrt(57) + sqrt(513) + sqrt(513)*-2 + sqrt(57))/sqrt(3)*-4)**2. -304 - sqrt(19)/8 Simplify 1*sqrt(704)*1 - 4*(sqrt(704) + -2 - sqrt(704))**2 - (2*(sqrt(704) + -4) + -4 + -3*sqrt(704))*
{ "pile_set_name": "DM Mathematics" }
in increasing order. -4, -2, p, 0 Let k(f) = 4*f - 3. Let j(n) = 23*n - 19. Let a(s) = -6*j(s) + 34*k(s). Let h be a(6). Put h, 0.4, 4 in ascending order. h, 0.4, 4 Let l be 2/6*(25 + 8). Put 4, -2/5, l in descending order. l, 4, -2/5 Let n be -3 - -13*(-3 + 2). Let v = n + 17. Let k = 0.5 - 0.3. Sort k, 0, v in decreasing order. v, k, 0 Let x be -1 - ((-12)/5 - -1). Let o = -18 - -56/3. Sort o, -3, x in descending order. o, x, -3 Let i be (-2 - 0) + 23/11. Let h = -7 - -2. Sort i, 4, h in descending order. 4, i, h Let x(b) = -2*b + 15. Let n be x(5). Sort 3, n, 2, -1 in decreasing order. n, 3, 2, -1 Let q = 92.8 - 93. Put 10/3, 2/7, q, 3 in descending order. 10/3, 3, 2/7, q Suppose 7 + 1 = -2*y - i, -3*i + 31 = -5*y. Let m = -3 - -6. Let d = 11 + -7. Put y, d, m in descending order. d, m, y Suppose -3*c + 7*c - 8 = 0. Suppose 5*k = 5*y - 15, -5*y - 2 = 3. Let w = k + 8. Sort 1, w, c in increasing order. 1, c, w Let k be 4*3/18*6. Suppose -5 = -k*t - 17. Sort -2, 4, t. t, -2, 4 Suppose 5*h = -13 + 23. Let i = h - -2. Sort 3, i, 1 in ascending order. 1, 3, i Let g = -160 + 165. Let u = 31 + -19. Sort g, -4, u. -4, g, u Let x(n) = n - 1. Let z be x(2). Let g = -15 + 24. Let f = g + -5. Sort z, 0.3, f in decreasing order. f, z, 0.3 Let q = 0.2 - 0.4. Let c = -22 + 14. Let u = -6 - c. Sort 0.1, u, q in decreasing order. u, 0.1, q Let v = -1.42 + -0.08. Let s = 1.4 + v. Put s, 5, -1/6 in decreasing order. 5, s, -1/6 Let i(u) = 4*u**2 - 20*u - 3. Let v be i(6). Put -4, v, -2, 3 in ascending order. -4, -2, 3, v Let x = -105 + 104. Sort x, 5, 1, 2. x, 1, 2, 5 Let k = 0.14 - -2.86. Let l = -0.3 - 3.7. Let j = 12 + -8. Put j, k, l in increasing order. l, k, j Let u = 30 + -31. Put -4, u, -5, -0.2 in increasing order. -5, -4, u, -0.2 Let m be (-3 + 0)/(-5 + -7 + 11). Put 0, -4, 1, m in decreasing order. m, 1, 0, -4 Let a(t) = -t**3 + 4. Let s be a(0). Suppose 5*i - i - s = 0. Let g = -6 + i. Sort 4, 3, g in descending order. 4, 3, g Let j(w) = w**2 - 3*w + 5. Let u(t) = 2*t**2 - 7*t + 10. Let l(q) = -7*j(q) + 4*u(q). Let a be l(6). Put 3, 4, a in ascending order. a, 3, 4 Suppose 0 = 3*p - 2*p - 10. Let g(z) = z - 13. Let h be g(p). Let k = 2 + h. Sort 4, k, 5 in ascending order. k, 4, 5 Suppose 0 + 6 = 3*n. Let b be (4 + -6)*n/(-7). Sort 0.1, -0.1, b in decreasing order. b, 0.1, -0.1 Suppose -27 = q - 0*q + 5*b, -2*b = -5*q. Let r be 3 - 1*(-1 + (-1)/(-1)). Sort q, 4, r. q, r, 4 Let x be (3/(-5))/((-6)/(-4)). Let p = -9 - -12. Sort p, 0, x in decreasing order. p, 0, x Let c = 17 - 12. Put -0.2, c, -16 in decreasing order. c, -0.2, -16 Let x = -0.01 - 0. Let i = x - 0.09. Sort 1/3, 1, i in increasing order. i, 1/3, 1 Let y = 17 - 10. Suppose -2*l - 10 = -y*l. Put l, 4, 0 in increasing order. 0, l, 4 Suppose 4*o = 7*o + 33. Let k = o - -11. Put 4, k, 5 in increasing order. k, 4, 5 Suppose 6*h - 2 = -8. Let s = -1 - -1.2. Put h, s, 2 in ascending order. h, s, 2 Let y = -2.96 - 0.04. Let x = 10 + -8. Sort x, y, -3/4. y, -3/4, x Let g = -11 + 10.7. Let x = 0.5 + g. Let v = -1 - 3. Put -0.3, v, x in increasing order. v, -0.3, x Let p = 0.63 + -0.43. Sort -2/9, p, -0.5, -5 in descending order. p, -2/9, -0.5, -5 Let i = 24 + -25. Sort -4, i, -7 in decreasing order. i, -4, -7 Suppose -4*v + 2 = -2*v + 2*q, -3*q - 2 = -2*v. Put 3, 2, v in increasing order. v, 2, 3 Let g be (3/5)/(11/55). Sort 1, 0, g in increasing order. 0, 1, g Let n be 4 - 8 - 34/(-8). Put n, 0, 2/45 in ascending order. 0, 2/45, n Suppose 4*x = -3*y + y + 40, 2*x - 40 = -3*y. Let t(j) = -8*j - 1. Let v be t(-1). Let a = v - y. Sort a, 2, -4 in ascending order. -4, a, 2 Suppose 3 = -s - 4*q, -s - 2*q = 3*q + 3. Let m(v) = v**3 + 3*v**2 + v + 2. Let y be m(s). Let u be (-2)/(y - (3 - 6)). Sort u, 4, 2. u, 2, 4 Suppose i + 10 = -0*i - 3*g, 3*i - 2*g = 25. Let z(x) be the second derivative of x**5/20 + x**4/6 - x**3/2 + 3*x**2/2 - x. Let f be z(-3). Sort i, -3, f. -3, f, i Let x = -2 + 2.04. Let a = x - 0.54. Put 5, a, -1 in descending order. 5, a, -1 Let v be -1*3*2/(-6). Put 14, -4, v in ascending order. -4, v, 14 Let r be 1*(6 + -1 + 0). Let c = 8 + -9. Sort r, -2, c in descending order. r, c, -2 Let h = 6 + -8. Suppose p - 2 = -7. Let t = p - h. Put -5, 4, t in ascending order. -5, t, 4 Suppose 13 = l + 4*y, 2*l - 153 = -3*l + 2*y. Sort -3, 0, -1, l. -3, -1, 0, l Suppose -5*v = -4*v. Suppose 8 = -v*x + 2*x. Put 2, -1/7, x in ascending order. -1/7, 2, x Let f be (6 - 2) + 3 + -2. Suppose -h + f = 0, -3*h + 32 = 2*q + 11. Put q, -2, 2 in descending order. q, 2, -2 Let n = 353 - 5297/15. Put -3, 3, n, 2 in decreasing order. 3, 2, n, -3 Let z(l) = l + 2. Let o(p) = -3*p - 5. Let g(i) = 2*o(i) + 5*z(i). Let f be g(2). Sort f, 1, 5 in increasing order. f, 1, 5 Suppose 3*y - 8 = -2. Suppose -m - 9 = y*m. Sort 4, 2, m in ascending order. m, 2, 4 Let g = 3 + -8. Let p = 0.04 + 4.96. Sort g, p, -1. g, -1, p Let n be (-25)/9 - (-4)/(-18). Let u = -1 - 0. Sort u, n, 3. n, u, 3 Let v = -0.056 + -0.144. Put -2, v, -14, 0.2 in decreasing order. 0.2, v, -2, -14 Suppose 5*j - 3*f - 8 = 4, 4*f = j - 16. Suppose 20 = -5*s, 3*s = -5*p + 7 + 6. Sort p, 2, j in decreasing order. p, 2, j Suppose 3*z = -5*c - 20, -3*z - 5*c + c = 19. Sort 5, 1, z in decreasing order. 5, 1, z Let q = -3.3 + 3.5. Put -5, q, 7, -3 in decreasing order. 7, q, -3, -5 Suppose -3*a = -4*g, 3*a - 5*g = -0*a + 3. Sort a, 1, 10. a, 1, 10 Suppose -x + 5 = -0. Suppose 4*p - 3*p = -2. Put x, 2, p in descending order. x, 2, p Let l = -43 - -46. Sort l, 2, -5, -1 in descending order. l, 2, -1, -5 Let t be (-15)/(-25) - (-56)/(-10). Suppose 4*f + 9 - 29 = 0. Suppose 3*w - f = 1. Sort t, w, -4 in descending order. w, -4, t Let g = -5 - 1. Let u = 6 + g. Sort -0.4, u, 4 in decreasing order. 4, u, -0.4 Let z = -0.12 - 4.88. Let g = 0.4 - -2.6. Sort g, z, 0.4 in increasing order. z, 0.4, g Let l = -0.05 - -3.05. Let y(b) = -b**2 - 11*b + 56. Let p be y(-15). Sort 0.5, l, p in increasing order. p, 0.5, l Let q = -0.23 - -0.13. Put q, 0.5, -0.3 in decreasing order. 0.5, q, -0.3 Let a be (-2 - 8/(-6))*9. Let b be (4/a)/(2/(-15)). Sort b, -5, 2 in decreasing order. b, 2, -5 Suppose -2*w + 2 = -2. Put -0.3, w, -3 in decreasing order. w, -0.3, -3 Let s = 12416/279 + -212/93. Let c = -42 + s. Sort c, -0.4, -2. -2, -0.4, c Suppose 0*k - 3*k = -9. Let p = k - 1. Let q = -6 + p. Put q, -1, 5 in descending order. 5, -1, q Suppose 0 = -6*f - 28 - 2. Sort f, 4, -2, 12 in decreasing order. 12, 4, -2, f Let r = 7 + -2. Let u(n) = -n + 2. Let z be u(-2). Suppose 2*y = 0, -y + z = 2*s + 2*y. Put s, -1, r in descending order. r, s, -1 Let j = -0.32 - -7.32. Sort 2, j, -4. -4, 2, j Suppose -3 = -4*f + 3*f. Let u = f + 2. Sort 4, u, -1 in ascending order. -1, 4, u Suppose -5*q + 10 = -10*q. Sort 4, q, -1. q, -1, 4 Let o(x) = x - 11. Let w = -21 - -30. Let y be o(w). Suppose -4*p + 16 = -0*p, -4*c - 3*p + 32 = 0. Put c, -4, y in descending order. c, y, -4 Let w = 22 - 22.2. Let s = -5.08 - -0.08. Sort s, 6, w in increasing order. s, w, 6 Let m(f) = f**2 - 5*f. Let r be m(4). Let b be 3/(-6)*(-2 - r). Sort -2, 4, b in descending order. 4, b, -2 Let w = 0.7 - -0.3. Let d be ((-60)/(-28))/((-6)/(-20)). Let y = -221/28 + d. Sort y, 0.4, w in increasing order. y, 0.4, w Let d = 91 - 92. Sort 1, 0.2, -0.2, d in ascending order. d, -0.2, 0.2, 1 Suppose -15 = 5*v - 95. Sort v, 4, 3, 1 in increasing order. 1, 3, 4, v Let b(i) = 2*i - 2. Let q be b(2). Suppose 2*t - 9 = 5*s, 4*s - 5 + q = 5*t. Suppose -4*v = 7 + 1. Put 6, v, t in increasing order. t, v, 6 Suppose 4*n + 10 = 26. Let l(a) = 7*a**2 - a + 2. Let b be l(1). Let z be ((-8)/n)/(b/(-2)). Sort 4, 2, z. z, 2, 4 Let x = -5 + 3. Let n be 4/x - (1 - 2). Sort 5, -4, n in increasing order. -4, n, 5 Let j(g) = g**2 - 3*g + 4. Let o be j(3). Suppose 0 = -0*z - 2*z + 2. Sort o, z, 5 in decreasing order. 5, o, z Let w = 97 + -189/2. Sort w, 1, 2, -1 in decreasing order. w, 2, 1, -1 Let o = 7 - 16. Let l = -3 + 9. Let k be (-2)/(1/(o/l)). Put 0, -3, k in decreasing order. k, 0, -3 Let s = -26 + 30. Sort 0.05, -2, s in ascending order. -2, 0.05, s Let s = -42 + 45. Suppose -4 = 2*y + 2, 2*f - 4*y - 14 = 0. Sort f, s, 2 in ascending order. f, 2, s Let f(y) = -y + 0 + 0 + y**3 + 2*y**2 - 5*y**2. Let v be f(3). Put -1, -4, v in decreasin
{ "pile_set_name": "DM Mathematics" }
4. Suppose 3*n = 2*q + t, 3*n = 4*n + 4*q - 58. What are the prime factors of n? 2, 3, 7 Let z(m) = m**3 - 7*m**2 + 4*m + 7. Let x be z(6). Let t be (-256)/7 - 60/140. Let h = x - t. List the prime factors of h. 2 Suppose -1248 = -7*j + j. Suppose -o + 4*b + j = 0, 4*o + 5*b - 48 = 742. What are the prime factors of o? 2, 5 List the prime factors of ((-52)/(-65))/((-3)/(-285)). 2, 19 Let o be 60/(-1)*(-39)/12. Suppose 58 = -4*j - 3*n + o, -j - 2*n + 38 = 0. What are the prime factors of j? 2 Let m = 208 + 149. List the prime factors of m. 3, 7, 17 Let l be (-4 + 1)/(3/(-62)). Suppose -66 = -4*n + x + l, -4*x + 64 = 2*n. List the prime factors of n. 2 Suppose 11*a = 10*a + 123. What are the prime factors of a? 3, 41 Let w(t) = -3*t**3 - 7*t**2 + 52*t - 14. List the prime factors of w(-9). 2, 569 Suppose 5*v + 5*p - 7*p - 960 = 0, 766 = 4*v - 2*p. List the prime factors of v. 2, 97 What are the prime factors of (-59 + 17)*(-11 + -2)? 2, 3, 7, 13 Let p(l) = 1 + 2 - 8*l - 1 + 27*l. List the prime factors of p(5). 97 Let y = 2010 - 1006. List the prime factors of y. 2, 251 Let k be ((-18)/45)/((-4)/10) + 206. Suppose 4*x = x + k. What are the prime factors of x? 3, 23 Suppose 3 + 2 = 3*t - 2*b, -5*t + 4*b + 7 = 0. Let q = 147 + -138. Suppose q = 3*d, 0*y + t*d - 21 = -4*y. List the prime factors of y. 3 Let g(v) = -v**3 + 24*v**2 - 23*v + 18. Let u be g(23). Suppose -348 = -5*b - u. List the prime factors of b. 2, 3, 11 Let i = 32 + -11. Let q = 9 - i. Let g = q - -17. List the prime factors of g. 5 Let k = 34 + -3. Let o = k - 58. Let v = 51 + o. What are the prime factors of v? 2, 3 Let a = 13199 + -7191. List the prime factors of a. 2, 751 Let d be ((-12)/(-8))/((-1)/2). Let a be 5/10 + 58/4. Let m = a - d. List the prime factors of m. 2, 3 Suppose 2 = -4*l - 5*c - 7, 2*c + 6 = -l. Suppose -4*b + 5*v = -85, -5*v + 11 + l = b. What are the prime factors of b? 2, 5 Suppose -3*x = 4*d - 2201, -8*d + 3*d - 1475 = -2*x. List the prime factors of x. 3, 5, 7 Suppose -7*m - 767 + 2139 = 0. Suppose n + 0*h = 4*h + 36, 0 = -4*n + 3*h + m. List the prime factors of n. 2, 13 List the prime factors of (-64)/(-14) + -4 - 1809/(-7). 7, 37 Let a(b) = 3*b - 2. Let g be a(4). Let j(s) = -s**2 + 10*s + 10. List the prime factors of j(g). 2, 5 Let i be ((-200)/(-15))/(6/9). List the prime factors of 83 + (i/(-4) - -7). 5, 17 Let b(m) = m - 7. Let n be b(9). What are the prime factors of 2718/63 + n/(-14)? 43 Suppose 7*k = 6*k + 4. Suppose -k*i + 25 = 1. Let s(u) = -u**3 + 7*u**2 - 5*u - 3. List the prime factors of s(i). 3 Suppose -6*v + v + 635 = -5*u, 2*u = -3*v + 361. Let r = 177 - v. List the prime factors of r. 2, 3 Suppose 4*t + t - 1835 = 0. List the prime factors of t. 367 Suppose 24431 = 35*d - 11479. What are the prime factors of d? 2, 3, 19 Let d = -68 - -64. Let b(o) = o + 19. List the prime factors of b(d). 3, 5 Suppose -10824 = -18*a + 38640. What are the prime factors of a? 2, 3, 229 Let m be (16/4)/(4/10). Let u be 3 - 2*6/(-4). List the prime factors of (76/m)/(u/15). 19 Suppose -l = -6*l + 250. Let c = l + 8. List the prime factors of c. 2, 29 Suppose 5 + 5 = 2*u. Suppose 3 = p + u. List the prime factors of 96/16 - (p - 1). 3 What are the prime factors of (-2 - (-36)/(-27))/(2/(-165))? 5, 11 Let k = -1015 + 1630. List the prime factors of k. 3, 5, 41 Suppose 0 = 4*f - 2147 - 509. Suppose -f = -4*j - 132. List the prime factors of j. 7, 19 Let c = 4 + 6. Let j(d) = d**3 - 10*d**2 + 14. What are the prime factors of j(c)? 2, 7 Suppose -424 - 220 = 7*c. What are the prime factors of (-10)/15 + 2/3 - c? 2, 23 Let g(q) = q + 13. Let l be g(-5). Suppose l*v - 229 = 75. List the prime factors of v. 2, 19 Let d(t) be the third derivative of t**5/60 - 7*t**4/24 - 11*t**3/6 + 12*t**2. What are the prime factors of d(-11)? 11, 17 Suppose 3*n - 4*p - p - 173 = 0, 59 = n - 3*p. Let y(z) = -z**3 - 6*z**2 - 2*z - 9. Let o be y(-6). Suppose -n - 31 = -o*d. What are the prime factors of d? 29 Let r(i) = 72*i + 116. What are the prime factors of r(31)? 2, 587 Suppose -s + 5*f = -1, -s - 2*f = -0*s - 8. Suppose 0 = -s*t - t + 245. What are the prime factors of t? 5, 7 Let t(j) = -4*j**2 + 107*j + 45. List the prime factors of t(27). 2, 3 Let d = 7491 - 3654. What are the prime factors of d? 3, 1279 Let p(j) = -7*j - 7. Let m be p(-7). Suppose 4*s - 2*l + 184 = m, 4*s - l + 137 = 0. What are the prime factors of 0 + -2 - 0 - s? 31 Suppose w = h + 5*w - 119, 4*w + 475 = 5*h. What are the prime factors of h? 3, 11 Let m be 4*(-75)/(-18)*9/30. What are the prime factors of 1 + -3 + m - (-85 - -1)? 3, 29 Let a be 2 - 0 - -2 - -276. Suppose 0 = 3*d + 4*l - 168, -d + l = 4*d - a. List the prime factors of d. 2, 7 Suppose 5*c = 15, 0 = -5*q - 2*c - 2*c + 917. List the prime factors of q. 181 What are the prime factors of -48 + 2179 + 2/(-1)? 2129 List the prime factors of (529 - 2)*(-2)/(6/(-3)). 17, 31 Let i = 607 - -92. List the prime factors of i. 3, 233 Let b(g) = -2*g**2 + 2*g + 2. Let j be b(3). Let u = 0 + j. Let k = u - -14. List the prime factors of k. 2 Let f(a) = -a**3 - a**2. Let b be f(0). Suppose b = -w + 5*w - 5*r - 101, -w + r + 25 = 0. What are the prime factors of w? 2, 3 Suppose 18 = 5*j - 2*j. Suppose s = -0*s + j. What are the prime factors of s? 2, 3 Let u(j) = -j + 8. Suppose 18 = 4*b - 2*r, b - 3 = -b - 5*r. Let y be u(b). Suppose -y*o + 0 = -148. What are the prime factors of o? 37 Suppose 2*m - m = 1. Suppose y - 5 = m. Let i(d) = 2*d**2 - 6*d - 4. What are the prime factors of i(y)? 2 Suppose -3*i + 6*i - 6 = 0. Suppose 3*a - 62 = -2*y + 141, i*y + 5*a - 193 = 0. What are the prime factors of y? 109 Suppose 3*c + 5 = 8*c, u = 4*c + 721. What are the prime factors of u? 5, 29 Let q = 4 - 2. Let j(d) = -d**3 - 2*d**2 - d + 1. Let t(m) = -5*m**3 - 11*m**2 - 4*m + 5. Let l(x) = -11*j(x) + 2*t(x). List the prime factors of l(q). 13 Let b(s) be the second derivative of s**5/20 + 2*s**4/3 - 8*s**3/3 - 4*s**2 + 24*s. What are the prime factors of b(-9)? 5, 11 Let o = 8 - 4. Suppose 26 = 4*i + 3*d, -i - 3*d = -d - o. List the prime factors of 444/16 - (-2)/i. 2, 7 Let w(j) = -4*j**2 + 2*j + 6. Let t(g) = -11*g**2 + 6*g + 18. Let f(h) = -3*t(h) + 8*w(h). Let r be f(6). List the prime factors of (r + 0)/(3/4). 2, 3 Let l be 4 + (-7)/(14/4). Let p be (-30)/4 + (-1)/l. What are the prime factors of -3*(p/2)/4? 3 Suppose 48 = h - 5*v, h + v = -4*h + 240. Let r = h - -37. What are the prime factors of r? 5, 17 Let g(y) = -y**3 - 2*y**2 - 2*y + 4622. What are the prime factors of g(0)? 2, 2311 Suppose h = 4*s + 211 + 232, -5*h + 2307 = 3*s. List the prime factors of h. 3, 17 Let z be (-2)/8 - (-5)/4. Let r be z + 1 + (4 - 2). Suppose 0*s - r*s = -88. What are the prime factors of s? 2, 11 Let m be 420/26 - (-6)/(-39). Suppose -m*f + 33 = -15*f. List the prime factors of f. 3, 11 Suppose 0 = -0*f - f + 4. Suppose -f*c + 0 + 100 = 0. List the prime factors of c. 5 Let c(f) = 92*f - 1044. What are the prime factors of c(16)? 2, 107 Let b(n) = 609*n + 354. List the prime factors of b(4). 2, 3, 5, 31 Let t be (-3)/((-2)/6 - (-23)/42). Let r = 24 - t. What are the prime factors of r? 2, 19 Let a be 6*(33/(-9) + 4). List the prime factors of 19/1 - 8/a. 3, 5 Let n(h) = -h**2 - 4*h - 4. Let m be n(-3). Let v be (1/(2/16))/(-1). What are the prime factors of 1/(m + (-9)/v)? 2 Let r(m) = -2*m - 1. Let j be r(-4). Let h(u) = -2*u - 10. Let o be h(2). What are the prime factors of (-6)/o - (-354)/j? 3, 17 List the prime factors of 45*2*(765/27)/5. 2, 3, 5, 17 Let h(i) = -3*i**2 + 5*i + 2. Let o(u) = -13*u**2 + 20*u + 7. Let y(f) = -9*h(f) + 2*o(f). Let m be y(-3). Suppose q - m = -q. List the prime factors of q. 2, 5 Suppose 3*q + 2*g = 2, 3*q - 6*g + 2*g + 4 = 0. Suppose -5*p - w + 137 + 120 = 0, -p - 3*w + 57 = q. What are the prime factors of p? 3, 17 Let s = 49 + -37. Suppose -4*a - 4*i + 251 = -7*i, -4*i + s = 0. List the prime factors of a. 5, 13 Suppose -43*w - 12852 = -60*w. List the prime factors of w. 2, 3, 7 Suppose -2*i - 4*z = -830, 0 = 3*i - 4*z - 433 - 802. What are the prime factors of i? 7, 59 Suppose 4*c - 3*w - w + 8 = 0, 31 = 2*c + 5*w. Suppose -2*h - 1 = -c*h, 2*h - 5 = -t. Suppose t*o = 2*o + 2. List the prime factors of o. 2 Suppose -4*b - 4*b +
{ "pile_set_name": "DM Mathematics" }
164. 40 Calculate the remainder when 713 is divided by 11. 9 What is the remainder when 389 is divided by 78? 77 What is the remainder when 356 is divided by 71? 1 Calculate the remainder when 96 is divided by 84. 12 What is the remainder when 232 is divided by 139? 93 What is the remainder when 1649 is divided by 74? 21 What is the remainder when 1048 is divided by 50? 48 What is the remainder when 264 is divided by 136? 128 Calculate the remainder when 1440 is divided by 39. 36 Calculate the remainder when 4861 is divided by 17. 16 Calculate the remainder when 1768 is divided by 343. 53 What is the remainder when 3483 is divided by 1159? 6 Calculate the remainder when 50 is divided by 8. 2 Calculate the remainder when 6186 is divided by 4. 2 What is the remainder when 1304 is divided by 649? 6 What is the remainder when 177 is divided by 71? 35 What is the remainder when 504 is divided by 129? 117 What is the remainder when 4438 is divided by 60? 58 Calculate the remainder when 470 is divided by 79. 75 What is the remainder when 1186 is divided by 585? 16 What is the remainder when 435 is divided by 109? 108 Calculate the remainder when 961 is divided by 13. 12 Calculate the remainder when 12 is divided by 2. 0 Calculate the remainder when 85 is divided by 10. 5 Calculate the remainder when 422 is divided by 215. 207 Calculate the remainder when 239 is divided by 116. 7 What is the remainder when 435 is divided by 110? 105 What is the remainder when 218 is divided by 86? 46 What is the remainder when 80 is divided by 40? 0 What is the remainder when 841 is divided by 64? 9 Calculate the remainder when 233 is divided by 63. 44 Calculate the remainder when 634 is divided by 195. 49 What is the remainder when 10385 is divided by 47? 45 What is the remainder when 315 is divided by 6? 3 What is the remainder when 396 is divided by 8? 4 Calculate the remainder when 172 is divided by 50. 22 What is the remainder when 161 is divided by 11? 7 Calculate the remainder when 341 is divided by 325. 16 What is the remainder when 841 is divided by 163? 26 Calculate the remainder when 115 is divided by 61. 54 Calculate the remainder when 1607 is divided by 134. 133 Calculate the remainder when 30 is divided by 4. 2 Calculate the remainder when 56 is divided by 10. 6 What is the remainder when 177 is divided by 160? 17 What is the remainder when 4719 is divided by 8? 7 What is the remainder when 1059 is divided by 256? 35 Calculate the remainder when 877 is divided by 88. 85 What is the remainder when 260 is divided by 72? 44 What is the remainder when 12 is divided by 4? 0 What is the remainder when 491 is divided by 126? 113 Calculate the remainder when 2775 is divided by 925. 0 What is the remainder when 59 is divided by 4? 3 What is the remainder when 211 is divided by 74? 63 Calculate the remainder when 143 is divided by 42. 17 Calculate the remainder when 666 is divided by 191. 93 Calculate the remainder when 1349 is divided by 45. 44 Calculate the remainder when 79 is divided by 18. 7 What is the remainder when 235 is divided by 143? 92 Calculate the remainder when 285 is divided by 50. 35 Calculate the remainder when 32 is divided by 11. 10 What is the remainder when 208 is divided by 20? 8 Calculate the remainder when 731 is divided by 249. 233 Calculate the remainder when 322 is divided by 237. 85 What is the remainder when 521 is divided by 58? 57 What is the remainder when 150 is divided by 19? 17 Calculate the remainder when 312 is divided by 35. 32 What is the remainder when 72 is divided by 39? 33 What is the remainder when 11065 is divided by 31? 29 What is the remainder when 156 is divided by 48? 12 Calculate the remainder when 833 is divided by 49. 0 Calculate the remainder when 1671 is divided by 140. 131 Calculate the remainder when 1450 is divided by 22. 20 What is the remainder when 5 is divided by 4? 1 Calculate the remainder when 4228 is divided by 10. 8 What is the remainder when 487 is divided by 78? 19 Calculate the remainder when 697 is divided by 62. 15 Calculate the remainder when 398 is divided by 101. 95 Calculate the remainder when 321 is divided by 295. 26 What is the remainder when 82 is divided by 5? 2 Calculate the remainder when 1709 is divided by 143. 136 What is the remainder when 101 is divided by 12? 5 What is the remainder when 480 is divided by 21? 18 What is the remainder when 26138 is divided by 15? 8 What is the remainder when 2065 is divided by 24? 1 Calculate the remainder when 349 is divided by 25. 24 What is the remainder when 6715 is divided by 240? 235 Calculate the remainder when 512 is divided by 40. 32 What is the remainder when 21772 is divided by 67? 64 Calculate the remainder when 50156 is divided by 31. 29 Calculate the remainder when 1614 is divided by 325. 314 Calculate the remainder when 113 is divided by 38. 37 What is the remainder when 58 is divided by 58? 0 What is the remainder when 204 is divided by 23? 20 Calculate the remainder when 1034 is divided by 98. 54 Calculate the remainder when 87 is divided by 77. 10 What is the remainder when 45 is divided by 18? 9 What is the remainder when 76 is divided by 40? 36 What is the remainder when 396 is divided by 10? 6 What is the remainder when 1769 is divided by 10? 9 What is the remainder when 78 is divided by 43? 35 What is the remainder when 1495 is divided by 18? 1 Calculate the remainder when 14 is divided by 9. 5 Calculate the remainder when 38 is divided by 21. 17 Calculate the remainder when 1215 is divided by 568. 79 Calculate the remainder when 2438 is divided by 13. 7 Calculate the remainder when 11414 is divided by 62. 6 Calculate the remainder when 66 is divided by 43. 23 What is the remainder when 687 is divided by 335? 17 Calculate the remainder when 775 is divided by 26. 21 What is the remainder when 5124 is divided by 25? 24 What is the remainder when 98 is divided by 6? 2 What is the remainder when 94 is divided by 49? 45 What is the remainder when 166 is divided by 37? 18 Calculate the remainder when 1761 is divided by 4. 1 What is the remainder when 1122 is divided by 114? 96 What is the remainder when 1326 is divided by 18? 12 What is the remainder when 72 is divided by 37? 35 Calculate the remainder when 79 is divided by 10. 9 Calculate the remainder when 260 is divided by 85. 5 What is the remainder when 307 is divided by 8? 3 Calculate the remainder when 413 is divided by 78. 23 What is the remainder when 105 is divided by 55? 50 What is the remainder when 89 is divided by 25? 14 What is the remainder when 5905 is divided by 4? 1 What is the remainder when 135 is divided by 65? 5 Calculate the remainder when 1622 is divided by 162. 2 What is the remainder when 21183 is divided by 99? 96 What is the remainder when 2868 is divided by 125? 118 Calculate the remainder when 1214 is divided by 313. 275 What is the remainder when 2426 is divided by 16? 10 Calculate the remainder when 4715 is divided by 36. 35 Calculate the remainder when 238 is divided by 15. 13 What is the remainder when 3541 is divided by 1162? 55 What is the remainder when 403 is divided by 93? 31 What is the remainder when 108 is divided by 2? 0 What is the remainder when 6720 is divided by 81? 78 Calculate the remainder when 841 is divided by 79. 51 Calculate the remainder when 3564 is divided by 28. 8 Calculate the remainder when 1096 is divided by 48. 40 What is the remainder when 63 is divided by 36? 27 What is the remainder when 465 is divided by 12? 9 Calculate the remainder when 3637 is divided by 10. 7 Calculate the remainder when 331 is divided by 119. 93 What is the remainder when 207 is divided by 105? 102 What is the remainder when 5683 is divided by 49? 48 Calculate the remainder when 105 is divided by 19. 10 What is the remainder when 44 is divided by 43? 1 What is the remainder when 9691 is divided by 9? 7 What is the remainder when 3726 is divided by 266? 2 Calculate the remainder when 36041 is divided by 29. 23 What is the remainder when 521 is divided by 47? 4 Calculate the remainder when 657 is divided by 186. 99 Calculate the remainder when 124 is divided by 64. 60 Calculate the remainder when 194 is divided by 54. 32 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
4, 69, 352, 769, 1314, 1981? -v**3 + 76*v**2 - 78*v - 71 What is the h'th term of -5472, -10937, -16400, -21861? h**2 - 5468*h - 5 What is the w'th term of -910, -7233, -24396, -57817, -112914? -903*w**3 - 2*w**2 + 4*w - 9 What is the s'th term of -3326, -13227, -29700, -52721, -82266, -118311? 4*s**3 - 3310*s**2 + s - 21 What is the r'th term of 346, 321, 286, 235, 162? -r**3 + r**2 - 21*r + 367 What is the l'th term of 2425, 4775, 7123, 9469, 11813? -l**2 + 2353*l + 73 What is the f'th term of -243, -662, -1337, -2262, -3431, -4838, -6477, -8342? f**3 - 134*f**2 - 24*f - 86 What is the f'th term of 315, 760, 1341, 2058, 2911, 3900, 5025? 68*f**2 + 241*f + 6 What is the d'th term of 1948, 1796, 1644? -152*d + 2100 What is the t'th term of -4517, -4516, -4515, -4514, -4513, -4512? t - 4518 What is the y'th term of 2939151, 2939152, 2939153, 2939154? y + 2939150 What is the h'th term of -7797, -62437, -210749, -499569, -975733, -1686077? -7806*h**3 + 2*h + 7 What is the s'th term of -2781, -4364, -7003, -10698, -15449, -21256? -528*s**2 + s - 2254 What is the x'th term of -3966, -15979, -36024, -64107, -100234, -144411? -x**3 - 4010*x**2 + 24*x + 21 What is the m'th term of 66508, 66508, 66498, 66472, 66424? -m**3 + m**2 + 4*m + 66504 What is the p'th term of 945, 7453, 25011, 59109, 115237, 198885? 915*p**3 + 35*p**2 - 2*p - 3 What is the k'th term of -744, -856, -1036, -1290, -1624, -2044? -k**3 - 28*k**2 - 21*k - 694 What is the m'th term of 6758, 6741, 6710, 6659, 6582, 6473, 6326? -m**3 - m**2 - 7*m + 6767 What is the q'th term of -172, -281, -326, -307, -224, -77? 32*q**2 - 205*q + 1 What is the f'th term of -92, -444, -1436, -3386, -6612, -11432, -18164? -53*f**3 - 2*f**2 + 25*f - 62 What is the b'th term of -12285, -12255, -12225, -12195? 30*b - 12315 What is the t'th term of 1513, 1894, 2275, 2656, 3037, 3418? 381*t + 1132 What is the q'th term of 20401, 20396, 20387, 20374, 20357, 20336, 20311? -2*q**2 + q + 20402 What is the x'th term of 36004, 36006, 36008, 36010, 36012, 36014? 2*x + 36002 What is the g'th term of -576, -1181, -1786? -605*g + 29 What is the i'th term of 270, 1844, 6036, 14154, 27506, 47400, 75144? 218*i**3 + i**2 + 45*i + 6 What is the w'th term of 341, 307, 273, 239? -34*w + 375 What is the g'th term of -401, -702, -1001, -1298? g**2 - 304*g - 98 What is the r'th term of 613, 747, 881? 134*r + 479 What is the u'th term of -1716, -1690, -1624, -1512, -1348? u**3 + 14*u**2 - 23*u - 1708 What is the l'th term of -17, -67, -157, -293, -481, -727? -l**3 - 14*l**2 - l - 1 What is the s'th term of -1229069, -1229070, -1229071, -1229072, -1229073? -s - 1229068 What is the t'th term of 200, 375, 550? 175*t + 25 What is the v'th term of -4975, -10322, -16009, -22030, -28379, -35050? v**3 - 176*v**2 - 4826*v + 26 What is the j'th term of 389390, 389385, 389378, 389369, 389358, 389345, 389330? -j**2 - 2*j + 389393 What is the l'th term of -269, -97, 41, 127, 143, 71, -107, -409? -3*l**3 + l**2 + 190*l - 457 What is the s'th term of 970, 1788, 2604, 3418, 4230? -s**2 + 821*s + 150 What is the d'th term of 25757, 51516, 77275, 103034? 25759*d - 2 What is the s'th term of -240, -421, -552, -633? 25*s**2 - 256*s - 9 What is the u'th term of -10992, -11096, -11200, -11304, -11408? -104*u - 10888 What is the w'th term of -1445, -1448, -1447, -1436, -1409? w**3 - 4*w**2 + 2*w - 1444 What is the b'th term of 41241, 82503, 123767, 165033, 206301, 247571? b**2 + 41259*b - 19 What is the d'th term of -691, -2714, -6077, -10780, -16823, -24206, -32929? -670*d**2 - 13*d - 8 What is the j'th term of -1964, -1967, -1978, -1997, -2024? -4*j**2 + 9*j - 1969 What is the k'th term of -44297, -88577, -132857? -44280*k - 17 What is the a'th term of 1771, 1492, 1019, 346, -533, -1624? -a**3 - 91*a**2 + a + 1862 What is the u'th term of 252, 291, 330? 39*u + 213 What is the c'th term of 859, 1719, 2575, 3427, 4275, 5119, 5959? -2*c**2 + 866*c - 5 What is the x'th term of 24946, 49895, 74844, 99793, 124742, 149691? 24949*x - 3 What is the v'th term of -228, -366, -592, -906, -1308? -44*v**2 - 6*v - 178 What is the y'th term of 65747, 65746, 65743, 65738, 65731? -y**2 + 2*y + 65746 What is the z'th term of -4579, -17779, -39779, -70579, -110179, -158579? -4400*z**2 - 179 What is the h'th term of -854172, -854170, -854168, -854166? 2*h - 854174 What is the w'th term of -11220, -11208, -11186, -11154? 5*w**2 - 3*w - 11222 What is the q'th term of 92814, 185565, 278318, 371073, 463830, 556589? q**2 + 92748*q + 65 What is the z'th term of -26741, -26923, -27103, -27281, -27457? z**2 - 185*z - 26557 What is the n'th term of -3227, -12881, -28981, -51533, -80543, -116017? -n**3 - 3217*n**2 + 4*n - 13 What is the v'th term of -3203339, -3203337, -3203335, -3203333, -3203331, -3203329? 2*v - 3203341 What is the u'th term of -166133, -332268, -498403, -664538, -830673, -996808? -166135*u + 2 What is the x'th term of -6051, -11660, -17267, -22872, -28475? x**2 - 5612*x - 440 What is the t'th term of -243, -166, -29, 174, 449, 802, 1239, 1766? t**3 + 24*t**2 - 2*t - 266 What is the t'th term of 493, 518, 543, 568, 593, 618? 25*t + 468 What is the x'th term of 186, 433, 678, 915, 1138, 1341, 1518, 1663? -x**3 + 5*x**2 + 239*x - 57 What is the i'th term of -13240, -26505, -39752, -52975, -66168, -79325, -92440, -105507? i**3 + 3*i**2 - 13281*i + 37 What is the a'th term of -252172, -252173, -252174? -a - 252171 What is the a'th term of 1448847, 5795393, 13039637, 23181579, 36221219, 52158557, 70993593? 1448849*a**2 - a - 1 What is the b'th term of -3634, -7272, -10914, -14560, -18210, -21864, -25522? -2*b**2 - 3632*b What is the b'th term of 35439, 35440, 35441, 35442, 35443? b + 35438 What is the q'th term of -320234, -640471, -960708, -1280945? -320237*q + 3 What is the q'th term of -14584, -14563, -14528, -14473, -14392, -14279, -14128, -13933? q**3 + q**2 + 11*q - 14597 What is the h'th term of -144570, -144571, -144572, -144573, -144574? -h - 144569 What is the p'th term of 23, 73, 145, 227, 307, 373, 413? -2*p**3 + 23*p**2 - 5*p + 7 What is the n'th term of 1710, 6852, 15446, 27498, 43014? n**3 + 1720*n**2 - 25*n + 14 What is the o'th term of 2696, 2628, 2562, 2498? o**2 - 71*o + 2766 What is the f'th term of 135, 189, 267, 381, 543, 765, 1059, 1437? 2*f**3 + 40*f + 93 What is the h'th term of 3446, 3566, 3884, 4496, 5498, 6986, 9056, 11804? 16*h**3 + 3*h**2 - h + 3428 What is the p'th term of -1676, -1710, -1766, -1844, -1944, -2066? -11*p**2 - p - 1664 What is the j'th term of 14, 126, 324, 614, 1002, 1494, 2096? j**3 + 37*j**2 - 6*j - 18 What is the o'th term of 139, 791, 1881, 3409, 5375, 7779, 10621? 219*o**2 - 5*o - 75 What is the b'th term of -2324, -2294, -2262, -2228, -2192, -2154, -2114? b**2 + 27*b - 2352 What is the j'th term of -20150, -40375, -60604, -80843, -101098, -121375, -141680? -j**3 + 4*j**2 - 20230*j + 77 What is the d'th term of 47282, 94532, 141782, 189032? 47250*d + 32 What is the j'th term of 336694, 336697, 336700, 336703, 336706? 3*j + 336691 What is the b'th term of 13624, 13446, 13150, 12736? -59*b**2 - b + 13684 What is the p'th term of 1028, 1950, 2664, 3068, 3060, 2538, 1400? -17*p**3 - 2*p**2 + 1047*p What is the l'th term of -69499, -138999, -208499, -277999? -69500*l + 1 What is the d'th term of 3495, 27920, 94213, 223308, 436139, 753640? 3489*d**3 + 2*d + 4 What is the c'th term of -1707, -3546, -5519, -7626, -9867, -12242, -14751? -67*c**2 - 1638*c - 2 What is the o'th term of -410, -491, -572, -653, -734? -81*o - 329 What is the r'th term of 20587, 20586, 20585, 20584, 20583? -r + 20588 What is the p'th term of -336, -1322, -2962, -5256, -8204, -11806? -327*p**2 - 5*p - 4 What is the w'th term of -711, -1643, -2577, -3513, -4451? -w**2 - 929*w + 219 What is the i'th term of -43727, -43735, -43753, -43787, -43843, -43927, -44045? -i**3 + i**2 - 4*i - 43723 What is the h'th term of 278, 1108, 2486, 4412, 6886? 274*h**2 + 8*h - 4 What is the i'th term of -2167, -4276, -6373, -8452, -10507, -12532, -14521? i**3 - 2116*i - 52 What is the m'th term of 28865, 57710, 86551, 115388, 144221, 173050? -2*m**2 + 28851*m + 16 What is the m'th term of 390, 1592, 3602, 6420, 10046, 14480? 404*m**2 - 10*m - 4 What is the s'th term
{ "pile_set_name": "DM Mathematics" }
ivative of 518*g**3 - 23*g**2 - 47766*g? 3108*g - 46 Find the second derivative of b**2*v**3 + 5*b**2*v + 14*b**2 - 4*b*v**3 + 1390*v**2 + 20 wrt v. 6*b**2*v - 24*b*v + 2780 Differentiate 2*h**2*u**3 + 413*h**2 - 40*h - 1716*u**3 with respect to u. 6*h**2*u**2 - 5148*u**2 Find the second derivative of 194123*q**2 + 144571*q - 2 wrt q. 388246 Find the second derivative of 70461*a**2 + 186106*a wrt a. 140922 What is the first derivative of 1984*c**4 + 9*c**2 + 1809690? 7936*c**3 + 18*c What is the third derivative of 13638*b**3*c**3 + b**3 - 43030*b**2*c**2 wrt c? 81828*b**3 What is the second derivative of -10*b**4*j**2 - 78907*b**4 - b*j**2 + 4*b*j - 6*j**2 - 2875*j wrt b? -120*b**2*j**2 - 946884*b**2 Find the third derivative of 54091*r**3 + 700*r**2 + 2*r + 1 wrt r. 324546 Find the second derivative of 69029*q**2 + 86981*q wrt q. 138058 Find the third derivative of 21*s**4*y**2 - 2*s**4*y - 171*s**3*y - 125*s**2*y - 2*y**2 wrt s. 504*s*y**2 - 48*s*y - 1026*y Find the first derivative of 2*n**3*q**3 + 551*n**3*q*t - 135*n**3 + 21*n*q**3*t - 2*n*q**3 + 3*q**2 - 62 wrt t. 551*n**3*q + 21*n*q**3 What is the second derivative of 221*f**3*k**2*v**2 - 1838*f**3*k**2*v - 2*f**3*k*v**2 + 2*f**3*k + 2*f**3*v + 156*f*k - 2*f*v**2 - 22*k*v**2 wrt k? 442*f**3*v**2 - 3676*f**3*v Find the second derivative of -504927*y**4 + 6301*y + 31. -6059124*y**2 What is the second derivative of -9*i**2*x**2 - 2199*i**2*x + 1634*i*x**2 wrt x? -18*i**2 + 3268*i What is the second derivative of -113279*x**2 - x - 946282? -226558 What is the third derivative of 88058*d**3*x**3 + 2*d**2*x**3 - 713*d**2 + 7*d*x**3 wrt d? 528348*x**3 Differentiate -349768*z**3 - 907649. -1049304*z**2 What is the third derivative of -2*j**5 + 683*j**4 + 14*j**3 - j**2 - 1325 wrt j? -120*j**2 + 16392*j + 84 Find the second derivative of 3*f**2*m*u + 13*f**2*m - 38*f**2*u*w**3 + 2*f*m*u*w**3 - 3*f*u*w**3 - f*u - 56*f*w**3 + 2*m*u*w**3 + 3*m*u wrt f. 6*m*u + 26*m - 76*u*w**3 What is the third derivative of 522506*i**3 + 2*i**2 + 91*i - 39? 3135036 What is the second derivative of 43*v**3*y**2 - 9*v**3*y - 475*v**2*y + 2*v*y**2 + 18*y**2 wrt y? 86*v**3 + 4*v + 36 What is the second derivative of 3*l**2*y**3 - 1904*l**2*y**2 + l**2*y - l**2 + 2*l*y**3 + 19230*l*y**2 + 2*y**3 wrt l? 6*y**3 - 3808*y**2 + 2*y - 2 What is the third derivative of -1258943*l**5 - 186658*l**2? -75536580*l**2 What is the second derivative of -161*z**5 + 2052*z**2 - 23454*z - 17 wrt z? -3220*z**3 + 4104 Find the second derivative of -30875*f**2 - 51612*f wrt f. -61750 Find the third derivative of -6131*w**3 + 58249*w**2. -36786 Find the third derivative of 19*b**2*i**3 - 6*b**2*i**2 + 664*b - 3537*i**4 + 6*i**2 wrt i. 114*b**2 - 84888*i What is the second derivative of -3*h**3 + 15*h**2*v + 128*h**2 - 3*h*v + 24001*v wrt h? -18*h + 30*v + 256 Differentiate -20*w**4 - 1339*w - 537928 wrt w. -80*w**3 - 1339 What is the first derivative of m**2*q*w - 4*m*q*w - 3*m*q + 458*m*w - 273*q*w + 11*q + w - 1 wrt m? 2*m*q*w - 4*q*w - 3*q + 458*w What is the second derivative of -44*b**3*q**4 + 41*b**3 + 22*b**2 + 2392*b*q**5 + 6*b*q wrt q? -528*b**3*q**2 + 47840*b*q**3 Find the second derivative of -23534*a**3 - 6*a**2 + 40601*a - 9 wrt a. -141204*a - 12 What is the second derivative of -462379*y**2 - 42*y - 8809 wrt y? -924758 Find the second derivative of 27879*a**3 - 48954*a + 2 wrt a. 167274*a Differentiate -490*h**2 + 476*h - 1841367. -980*h + 476 Find the second derivative of -2*h**4 - 4*h**3 + 13865*h**2 + 53793*h - 1 wrt h. -24*h**2 - 24*h + 27730 Find the second derivative of -164291*h**3 + 282205*h. -985746*h Find the second derivative of -4*l*m**2 + 166559*l*m - 60740*m**2 wrt m. -8*l - 121480 Find the third derivative of 5*y**3*z**4 - 29001*y**3*z**3 + 4247*y**3*z + 57*y*z**2 wrt z. 120*y**3*z - 174006*y**3 What is the first derivative of 9*i*x*z + i*x + 6*i*z - i + 8*x*z + 48255*x + 70*z wrt z? 9*i*x + 6*i + 8*x + 70 What is the second derivative of -313*d*y**3 - 28*d*y**2 - 4*d*y + d - 5*y**3 + 6655 wrt y? -1878*d*y - 56*d - 30*y Find the second derivative of -213849*u**4 + 404*u - 168 wrt u. -2566188*u**2 Find the second derivative of -2*l*q**2*x**2 + 2*l*q**2*x + 259*l*q**2 - 12804*l*x**2 - 4*q**2*x wrt x. -4*l*q**2 - 25608*l What is the second derivative of -492400*f**2 - 1499811*f? -984800 Find the third derivative of 3851711*p**4 + 1502265*p**2 wrt p. 92441064*p Differentiate -1295*g*o**3 + 258*g*o + 2*o**3 - 2435*o**2 - 38 wrt g. -1295*o**3 + 258*o Find the second derivative of 180443*t**3 - 442*t + 127. 1082658*t What is the second derivative of 28012*w**3 - 148168*w? 168072*w What is the third derivative of -29*d**3*n**5 + d**3*n**2 - 543*n**5 - 9*n**2 - 2492 wrt n? -1740*d**3*n**2 - 32580*n**2 What is the third derivative of 2793*g**4 - 2*g**3 - 335*g**2 - 7*g - 3? 67032*g - 12 Find the third derivative of 20295*u**5 + 5*u**4 - 2*u**3 + 285185*u**2 wrt u. 1217700*u**2 + 120*u - 12 Find the third derivative of -4*c**2*y**3 - 5*c**2*y + 42343*c*y**3 - 7*c - y**2 + 1 wrt y. -24*c**2 + 254058*c What is the third derivative of 525*t**3*u**2*y + t**3*u**2 - 15*t**3*y**2 + t**2*u**2*y**2 - 4*t**2*u**2*y + 14*t**2 + 9*t*y**2 wrt t? 3150*u**2*y + 6*u**2 - 90*y**2 Find the third derivative of -2054044*f**3 - 6*f**2 - 91332*f + 2 wrt f. -12324264 Find the third derivative of -2283741*h**3*n + 39*h**2*n - 15066*h*n wrt h. -13702446*n Find the second derivative of 2*p*w**3 - 32*p*w**2 + 72503*p*w + 22*w**3 - 5*w**2 + w wrt w. 12*p*w - 64*p + 132*w - 10 Find the third derivative of 39*a**5 + 25*a**4 + a**2 - 423*a - 12. 2340*a**2 + 600*a Find the first derivative of 167228*u**2 + 332469 wrt u. 334456*u Differentiate -12*k**3*z + 181*k**3 - 11*k + 850*z**4 + 2 wrt z. -12*k**3 + 3400*z**3 Find the second derivative of 198097*j**4 + 74524*j wrt j. 2377164*j**2 Find the third derivative of -3608*h**3*k**2 - 2*h**3*k - 45*h**2 + 36*h*k**2 + h*k - k**2 wrt h. -21648*k**2 - 12*k What is the first derivative of 1624113*i + 1740244 wrt i? 1624113 Find the second derivative of 16685*p**5 - 20*p - 176 wrt p. 333700*p**3 What is the derivative of 2*x*z**3 + 6*x*z**2 - 17645*x*z - 57414*x - 2 wrt z? 6*x*z**2 + 12*x*z - 17645*x Differentiate 364399*b*f**3 - 11*f**3 + 8112*f wrt b. 364399*f**3 What is the first derivative of -38938*u**4 - 840619 wrt u? -155752*u**3 Find the second derivative of 57385*w**5 - 2*w**3 - 3*w + 3027. 1147700*w**3 - 12*w Find the second derivative of -45844*a**3 + 4*a**2 - 75*a - 2265. -275064*a + 8 Differentiate -226*a*b**3 + 2*a*b*d - 16*a*d - 84*b**3 - 121*b**2*d with respect to a. -226*b**3 + 2*b*d - 16*d What is the derivative of 4490*r**2 + 69883? 8980*r Differentiate 98468*a + 104312. 98468 Differentiate 410072*w - 418731 wrt w. 410072 What is the third derivative of 5128*z**4 + 105*z**3 - 380755*z**2 wrt z? 123072*z + 630 Find the third derivative of 4540*f**3*v**6 - 12*f**3*v**3 - 2139*f**3*v**2 - 2*f**3*v wrt v. 544800*f**3*v**3 - 72*f**3 Differentiate -87*b*i*s**2 - 90*b*s**3 + 4*b - 9*i*s**3 + 3*s**3 - 2 wrt i. -87*b*s**2 - 9*s**3 Find the second derivative of 315973*f**3 + 156044*f wrt f. 1895838*f What is the second derivative of 382*i**3*m**2 - 3*i**3 + 8*i**2*m**2 - 2*i*m**2 + 29*i*m - 22 wrt i? 2292*i*m**2 - 18*i + 16*m**2 Find the first derivative of 93*q**2*w**2 - 6475*q**2 + 6*q*w**2 + q - 31*w + 1 wrt w. 186*q**2*w + 12*q*w - 31 What is the second derivative of -3056*g**3 - 28*g**2 - 337098*g wrt g? -18336*g - 56 What is the first derivative of -46*l**3*z - 179*l**2*z - z - 42 wrt l? -138*l**2*z - 358*l*z Differentiate 2132670*k + 3216030 wrt k. 2132670 What is the third derivative of -7*b**3*j**3 + 5*b**3*j**2 + 178*b**3 - 6*b**2*j**3 - 80*b**2*j**2 + b*j**3 - 3*b*j**2 wrt b? -42*j**3 + 30*j**2 + 1068 What is the first derivative of -908264*w - 337531 wrt w? -908264 Find the first derivative of 65854*t**2 - 118950. 131708*t Find the first derivative of 42868*v**3 - v**2 + v - 80172 wrt v. 128604*v**2 - 2*v + 1 What is the second derivative of -277230*h**2 + 83032*h wrt h? -554460 What is the third derivative of 149713*n*w**4 + 56*n*w + 13*w**6 - 21208*w**2 wrt w? 3593112*n*w + 1560*w**3 What is the third derivative of 2092794*x**3 - 16043*x**2 + x + 5? 12556764 What is the third derivati
{ "pile_set_name": "DM Mathematics" }
o) = -2*o**2 - 22*o - 14. Give k(-10). 6 Let w(t) = -24*t + 3. What is w(2)? -45 Let x(f) = -f**3 - 4*f**2 - 2*f + 2. Give x(-3). -1 Let r(o) = o**2 - 17*o - 65. Calculate r(21). 19 Let v(x) = 2*x**3 + 2*x**2 - 14*x + 21. What is v(2)? 17 Let k(n) = -6*n**2 + 4. Calculate k(3). -50 Let t(l) = 26*l - 3. What is t(2)? 49 Let x(v) = v**3 + 4*v**2 + 3*v + 2. Give x(-3). 2 Let q(l) = -l**2 - 17*l - 11. Determine q(-17). -11 Let o(w) = -w**3 + 8*w**2 - 3*w - 7. Calculate o(8). -31 Let h(r) = 2*r + 12. What is h(-4)? 4 Let f(x) = 8*x**3 - 2*x + 1. What is f(1)? 7 Let p(l) = -2*l**2 - 27*l + 56. What is p(-15)? 11 Let i(r) = 4*r - 27. Determine i(6). -3 Let u(r) = 3*r**3 - 3*r**2 + 2*r + 2. What is u(2)? 18 Let q(i) = -4*i + 49. Calculate q(12). 1 Let g(q) = -4*q**2 + 10*q - 8. Determine g(3). -14 Let t(u) = u**2 + 1. Give t(-2). 5 Let h(i) = -92*i - 281. Give h(-3). -5 Let w(h) = -4*h + 1. Give w(-1). 5 Let f(i) = 13*i**2 + 2*i + 2. Give f(-1). 13 Let k(n) = n - 7. Calculate k(-4). -11 Let d(r) = r**3 + r**2 + r + 6. Give d(0). 6 Let n(p) = -p**2 - 7*p + 5. Give n(-7). 5 Let r(u) = -u**3 - 26*u**2 + 25*u - 67. What is r(-27)? -13 Let g(f) = 3*f + 4. Determine g(-6). -14 Let m(a) = -7*a**2 + a - 2. Determine m(2). -28 Let y(g) = -19*g + 167. Determine y(9). -4 Let y(s) = 84*s - 1. What is y(1)? 83 Let t(j) = j**3 - 8*j**2 + 7*j - 3. What is t(7)? -3 Let n(b) = 3*b**2 - b - 6. Determine n(-3). 24 Let y(u) = u**2 + 14*u - 127. Give y(-20). -7 Let p(h) = h**3 + 9*h**2 - 38*h - 28. Give p(-12). -4 Let i(m) = -2*m**2 - 18*m + 13. Give i(-9). 13 Let g(i) = 4*i - 27. What is g(-6)? -51 Let j(v) = -v**2 + 2*v + 21. Calculate j(0). 21 Let n(a) = -a - 6. What is n(9)? -15 Let y(f) = -f**2 - 26*f - 4. What is y(-26)? -4 Let s(k) = -6*k**2 + 21*k - 3. What is s(3)? 6 Let q(a) = a**2 - 2. Give q(5). 23 Let h(d) = -3*d + 1. What is h(-2)? 7 Let b(l) = l**2 + 4*l - 83. Calculate b(7). -6 Let o(c) = -3*c - 33. Calculate o(-7). -12 Let b(j) = j**2 - 4*j + 24. Calculate b(-10). 164 Let w(t) = -2*t + 7. What is w(10)? -13 Let j(d) = -2*d**3 - 22*d**2 + 4*d + 48. Give j(-11). 4 Let f(y) = 31*y**2 - 2*y - 1. What is f(-1)? 32 Let s(l) = l + 6. Give s(-1). 5 Let v(n) = n**2 + 6*n + 1. Determine v(-7). 8 Let x(p) = -5*p + 9. Calculate x(-1). 14 Let t(k) = -k**3 - 32*k**2 + 36*k + 90. Determine t(-33). -9 Let q(m) = m**3 + 8*m**2 - 21*m - 14. Give q(-10). -4 Let a(f) = 3*f - 22. Calculate a(10). 8 Let b(t) = 10*t + 136. Calculate b(-11). 26 Let v(a) = 4*a + 9. Calculate v(-8). -23 Let s(c) = 12*c - 11. Determine s(-2). -35 Let j(s) = 21*s + 8. Determine j(-1). -13 Let i(v) = -2*v + 11. What is i(6)? -1 Let h(p) = p**2 - 5*p + 6. Give h(6). 12 Let i(o) = o**3 - 16*o**2 + 3. What is i(16)? 3 Let w(s) = 4*s**2 - 56*s + 17. Give w(14). 17 Let y(x) = -52*x**3 + 2*x**2 - 1. Calculate y(-1). 53 Let u(g) = g**3 - 3*g**2 - g. Give u(5). 45 Let r(p) = 16*p + 117. Give r(-8). -11 Let v(p) = -4*p + 8. What is v(-8)? 40 Let v(f) = -f**2 - f - 2. Calculate v(-3). -8 Let a(r) = r**2 + 3*r - 5. Determine a(3). 13 Let u(b) = -3*b**2 + 14*b. What is u(5)? -5 Let n(v) = 15*v**2 + 11*v - 12. Determine n(1). 14 Let y(p) = 4*p + 33. Give y(-8). 1 Let x(f) = 3*f**3 + f**2 - 3*f + 2. Determine x(2). 24 Let f(j) = -j**2 - 16*j - 47. Calculate f(-11). 8 Let t(s) = 10*s - 178. Determine t(13). -48 Let j(n) = -n**2 - 12*n + 20. Calculate j(-12). 20 Let h(o) = 3*o**2 - 21*o - 234. Calculate h(-6). 0 Let u(d) = -11*d + 35. Give u(4). -9 Let w(h) = -4*h + 24. What is w(4)? 8 Let s(m) = m**3 + 4*m**2 - 18*m - 17. What is s(-7)? -38 Let l(g) = 5*g - 15. Calculate l(6). 15 Let p(v) = 8*v + 11. Determine p(-2). -5 Let w(x) = 138*x - 1243. Determine w(9). -1 Let x(f) = -f**3 + 3*f**2 - 4*f - 4. Give x(5). -74 Let z(i) = -i**3 + 9*i**2 - i + 12. Give z(9). 3 Let n(a) = a**3 - 18*a**2 + 32*a + 8. Calculate n(16). 8 Let w(h) = -h + 14. Determine w(19). -5 Let s(h) = -2*h**3 - 8*h**2 + 17*h + 30. What is s(-5)? -5 Let c(m) = 4*m**2 + 9*m. Give c(-2). -2 Let b(w) = -2*w**3 + 22*w**2 - 17*w - 22. Determine b(10). 8 Let d(o) = -o**2 + 17*o + 83. Calculate d(20). 23 Let w(q) = 7*q + 15. Give w(-3). -6 Let j(w) = -3*w + 3. Give j(10). -27 Let m(o) = -3*o - 6. Calculate m(-5). 9 Let j(o) = -o**3 + 8*o**2 + 20*o - 10. What is j(10)? -10 Let c(z) = 2*z + 24. Give c(-12). 0 Let y(v) = v**3 + 6*v**2 + 4*v + 10. Determine y(-5). 15 Let z(j) = 8*j - 14. What is z(9)? 58 Let p(b) = b**3 - 3*b**2 - b + 3. Calculate p(3). 0 Let q(u) = -u**3 - 23*u**2 + 51*u + 22. What is q(-25)? -3 Let b(j) = -15*j**3 + j + 1. Determine b(-1). 15 Let x(a) = -2*a**2 + 14*a - 12. What is x(6)? 0 Let v(m) = -27*m - 791. Determine v(-29). -8 Let b(j) = j**3 - 11*j**2 - 5*j + 53. Determine b(11). -2 Let z(r) = r**2 - 25*r - 41. What is z(26)? -15 Let u(r) = -4*r**3 - r**2 + 8*r - 8. What is u(1)? -5 Let s(n) = n**3 + 5*n**2 + 7*n + 60. Give s(-6). -18 Let n(o) = o**3 - 15*o**2 + 11*o + 48. Calculate n(14). 6 Let z(v) = v**2 - 25*v + 8. What is z(26)? 34 Let l(c) = 25*c - 131. What is l(5)? -6 Let m(j) = 2*j - 22. Give m(16). 10 Let z(d) = d**3 - 4*d**2 + 3*d + 12. Determine z(6). 102 Let s(h) = h**2 + 30*h + 30. Give s(-25). -95 Let x(u) = u**3 + 7*u**2 + 10*u + 19. Determine x(-6). -5 Let c(b) = -b - 5. Determine c(7). -12 Let s(z) = -z**2 + 3*z + 13. What is s(5)? 3 Let m(k) = -6*k + 7. Give m(3). -11 Let i(o) = -2*o + 25. Determine i(16). -7 Let l(p) = p**3 - 5*p**2 - 8*p + 6. Give l(6). -6 Let n(q) = 5*q - 5. Calculate n(4). 15 Let k(l) = -2*l + 17. What is k(8)? 1 Let f(j) = 6*j + 30. What is f(-6)? -6 Let j(t) = t**3 - 8*t**2 - 4*t. Determine j(9). 45 Let s(b) = b**2 - 8*b + 18. Calculate s(9). 27 Let l(o) = 12*o + 2. Give l(1). 14 Let q(k) = k**2 - 4*k - 1. What is q(8)? 31 Let a(k) = -k - 28. Calculate a(-15). -13 Let v(m) = -m**3 + 3*m**2 + 2*m - 8. Determine v(4). -16 Let r(w) = -w**2 - 5*w. What is r(0)? 0 Let w(z) = 6*z - 5. Give w(5). 25 Let w(m) = 9*m + 9. Give w(-5). -36 Let s(d) = d**2 - d - 5. Give s(3). 1 Let q(m) = m**2 + 7*m - 6. Calculate q(-7). -6 Let h(f) = 8*f - 1. What is h(0)? -1 Let z(w) = w**2 + 3*w - 25. Give z(-9). 29 Let x(t) = 4*t - 14. Give x(4). 2 Let b(h) = -h**3 + 6*h**2 - 2*h + 3. Give b(7). -60 Let u(y) = y**2 + 15*y + 7. Determine u(-16). 23 Let d(t) = -t + 12. Calculate d(3). 9 Let w(m) = 7*m - 5. What is w(5)? 30 Let c(d) = 28*d**3 + d**2 - d - 1. What is c(-1)? -27 Let t(o) = -59*o - 2. Give t(-2). 116 Let d(j) = 6*j**2 - 100*j - 8. What is d(17)? 26 Let n(h) = h**2 + 3*h + 43. What is n(-7)? 71 Let b(h) = -h**3 + 16*h**2 - 66*h + 15. Calculate b(7). -6 Let l(x) = 5*x**2 + 3*x + 3. What is l(-3)? 39 Let c(i) = i**2 + 7*i. Calculate c(-7). 0 Let h(v) = -3*v**2 + 7*v + 9. What is h(4)? -11 Let t(p) = -p**2 + 3*p - 6. What is t(2)? -4 Let y(h) = h**2 - 17*h - 19. What is y(16)? -35 Let k(z) = z**3 + 11*z**2 - 13*z - 7. What is k(-12)? 5 Let z(g) = g**3 + 2*g**2 + g - 4. Give z(0). -4 Let k(m) = m**2 - 17*m + 3. What is k(17)? 3 Let u(f) = 20*f**2 - 60*f + 6. Give u(3). 6 Let s(k) = k**3 + 2*k**2 + k + 1. What is s(2)? 19 Let h(m) = 6*m**2 + 4*m + 3. What is h(-2)? 19 Let x(y) = 21*y + 20. Determine x(-1). -1 Let i(q) = -q**2 - 4*q + 50. Determine i(-9). 5 Let k(x) = -2*x**3 - 18*x**2 - 14*x + 12. Calculate k(-8). -4 Let l(v) = 14*v + 299. Calculate l(-21). 5 Let f(y) = -21*y - 9. What is f(4)? -93 Let m(s) = -32*s. Calculate m(1). -32 Let g(u) = -u - 7. What is g(4)? -11 Let v(g) = -7*g + 81. What is v(11)? 4 Let k(q) = q**2 + 22*q + 11. Calculate k(-21). -10 Let m(i) = -35*i - 1. What is m(1)? -36 Let w(l) = l**2 + 16*l - 102. Calculate w(5). 3 Let c(t) = -t**3 + 13*t**2 - 8*t - 46. Calculate c(12). 2 Let t(n) = 2*n + 4. Give t(9). 22 Let x(k) = k**2 + 5*k + 10. Give x(-5). 10 Let o(y) = -4*y**3 - y**2 - 2*y - 1. What is o(-1)? 4 Let p(g) = -g**2 - 8*g - 9. Calculate p(-5). 6 Let f(o) = 3*o**2 + 23*o - 8. Determine f(-8). 0 Let u(r) = -r - 15. Determine u(-18). 3 Let o(r) = -r**2 + 11*r + 191. Give o(20). 11 Let r(s) = s**3 - 24*s**2 - 23*s - 44. Determine r(25). 6 Let m(d) = d**3 + d**2 - 3*d - 2. What is m(-2)? 0 Let f(g) = g**2 + 2*g - 33. What is f(0)? -33 Let b(f) = f**3 - 11*f**2 + 7*f - 23. Determine b(10). -53 Let u(x) = x**2 - 22*x + 111. Give u(8). -1 Let f(z) = -4*z**2 + 10*z - 9. Give f(3). -15
{ "pile_set_name": "DM Mathematics" }
order. b, -1, 1 Let o = 14.91 + -15. Sort 4, o, -1/3, -2. -2, -1/3, o, 4 Let g = -0.107 - -2.107. Let w = 4.95 - -0.05. Put w, -1, g in ascending order. -1, g, w Let m = 469/6 - 78. Let n = -1.1 - -8.9. Let c = n + -8. Sort c, m, -5 in ascending order. -5, c, m Let o(x) = x**3 + 5*x**2 - x - 1. Let u(q) = q**2 + q - 5. Let c be u(0). Let g be o(c). Let n = -21 + 17. Sort -5, n, g in increasing order. -5, n, g Let w(s) = -s - 9. Let h = -27 - -17. Let g be w(h). Put 5, g, 0.3 in descending order. 5, g, 0.3 Let y(o) = o - 1. Let n be y(4). Suppose 3*v = 7*v - 3*h - 9, n*v + 4*h - 13 = 0. Sort -2, 0, v. -2, 0, v Let a(c) = 3*c - 3. Let o be a(5). Let i be (1 - 1)/(o + -9). Put 3, 2, i in ascending order. i, 2, 3 Let t be 2/(-13) + (-335)/(-65). Suppose -k - 4*o = 11 - 0, t*k = -o + 2. Put -5, k, 2 in descending order. 2, k, -5 Let q(x) = -x**3 - 4*x**2 + 4*x - 1. Let g be q(-5). Let w(m) = 4*m + 1. Let u be w(-2). Let d be 20/70 + 3/u. Put g, d, 0.4 in decreasing order. g, 0.4, d Let s = 0 - -3. Suppose 2*p + 20 - 1 = -s*z, -p - 8 = z. Let u = -70 + 72. Put z, u, 2/23 in ascending order. z, 2/23, u Let y = 4.059 - 0.059. Put y, 0.05, 1, 5 in decreasing order. 5, y, 1, 0.05 Let y be (-4 - -2) + 4*1. Suppose b + 2 = 3*n, n + 2*b - b = y. Let q be 5*-1 - (-11)/11. Sort q, n, 5 in ascending order. q, n, 5 Let r be 2*1/9 - (-6)/(-27). Sort 2, -5, r in ascending order. -5, r, 2 Let w(d) = -d**2 + 1. Let y be w(-2). Let r = -1 + 1.4. Let c = -0.8 - -1.1. Put r, y, c in decreasing order. r, c, y Let q = 0 - 1. Let j be (-17 + -1)*2/3. Let t be 28/(-10) - j/4. Put q, t, 1 in descending order. 1, t, q Let y = 62 + -61. Sort 0, -1/6, y, -2. -2, -1/6, 0, y Let l = 21 + -18. Suppose -l*w - 1 = -4*w. Let v = -16 - -11. Put v, -1, w in decreasing order. w, -1, v Let q = -5 + 9. Let d = 1.66 - 1.3. Let f = 0.16 - d. Put f, q, -0.1 in ascending order. f, -0.1, q Suppose -15 = 5*f - 2*f, 5*f = -4*v - 41. Let m be ((-4)/6)/(2/(-6)). Suppose -q - 3 + m = 0. Put v, 1, q in increasing order. v, q, 1 Let c = -0.32 + -0.08. Sort -0.2, -12/11, c in descending order. -0.2, c, -12/11 Let a = 21.94 + 0.06. Let t = -18 + a. Sort t, 3/5, -2/9 in decreasing order. t, 3/5, -2/9 Let x = -1.7 - -1.9. Sort x, -0.5, 1 in decreasing order. 1, x, -0.5 Let q be (-2)/(-20)*10/2. Sort 0.2, 0.4, q, -1/3 in descending order. q, 0.4, 0.2, -1/3 Let l = 0.029 + -0.029. Sort 3, -5, l in decreasing order. 3, l, -5 Let u be 2/(-10) - 8/10. Let f be (-6)/153*-3*1. Put f, -0.7, u in decreasing order. f, -0.7, u Let x(i) = i**2 - 8*i + 3. Let g be x(8). Sort 2, 1, g, -1 in descending order. g, 2, 1, -1 Let t(b) = -b**3 - 12*b**2 + 16*b + 34. Let w be t(-13). Let i be (-4)/(-1)*(2 - 1). Let f(d) = d - 3. Let h be f(i). Put 0, w, h in descending order. h, 0, w Let q = -13 - -13.1. Put q, 2/11, -0.3 in descending order. 2/11, q, -0.3 Let d = 2.6 - 0.7. Let c = d + 0.1. Put -4, c, 0.1 in increasing order. -4, 0.1, c Suppose -10 = 5*d + 3*q + 2*q, -5*d = 4*q + 12. Sort 1, 0, d in decreasing order. 1, 0, d Suppose 2*w + 3*n - 5 + 0 = 0, n = -w + 1. Sort 3, -4, 4, w in descending order. 4, 3, w, -4 Let r(q) = -2*q + 1. Let x be r(-3). Let u = -4 + x. Sort -2, u, 5 in descending order. 5, u, -2 Let g(s) = 3*s**3 + 4*s**2 + 2*s. Let z be g(-2). Let a(p) = -p**2 - 4*p - 6. Let n be a(-6). Let c be -3*2*z/n. Sort c, 5, -2. c, -2, 5 Let n = 6 + 3. Let q = n - 10. Sort 1, q, -2 in descending order. 1, q, -2 Let i = 3.5 - 5. Let p = i + 1. Let z(c) = 4*c**3 - c**2 + c - 1. Let o be z(1). Put 3/4, o, p in increasing order. p, 3/4, o Let r = 43.1 - 43. Sort 2, 1, r, -0.2 in increasing order. -0.2, r, 1, 2 Let f = -4 + 6. Let s be 2*(-14)/4 + f. Put s, -4, -1 in increasing order. s, -4, -1 Let x = 23 - 40. Let u = 22 + x. Sort 0.2, u, 0.1 in decreasing order. u, 0.2, 0.1 Let c = 9 + -6. Let d = -5 + c. Let l = 1.9 + d. Put 4, -0.2, l in descending order. 4, l, -0.2 Suppose 0 = 26*q - 17*q - 27. Put 0, -2, -1, q in ascending order. -2, -1, 0, q Let x(l) = 4*l + 19. Let k be x(-6). Put k, 0, -2 in ascending order. k, -2, 0 Suppose -4*y = 5*j + 15, -4*j + 12 - 45 = -y. Sort j, 4, -4 in ascending order. j, -4, 4 Let i = -4.06 - -0.06. Let s = 2 + -6. Let j = 4 + s. Put i, j, 5 in ascending order. i, j, 5 Suppose 0*r = -5*r - 5. Let x(a) = 11*a**2 - 1. Let f be x(-1). Suppose 4*s - 4 - 2 = 3*v, 0 = 4*s - 5*v - f. Sort 5, s, r in decreasing order. 5, s, r Let o = 0.65 - -3.35. Sort 2, 0.5, -5/4, o in descending order. o, 2, 0.5, -5/4 Let l(w) = w**2 + 6*w + 3. Let h be l(-4). Put -2, -3, h in descending order. -2, -3, h Let w(z) = -z**3 - 8*z**2 - 6*z + 9. Suppose 0*v + 10 = 3*u + v, 2*u - 7 = -v. Suppose -7 = u*f - 2*f. Let b be w(f). Sort b, 3, 0 in ascending order. 0, b, 3 Let q = 5 + -3. Suppose 4 = 4*t + 5*c + 3, -q*t + 2*c = 4. Let u be -1*((-5 - -7) + (1 - 1)). Put t, u, 4 in descending order. 4, t, u Let v(s) = -2*s - 1. Let c be v(-2). Suppose 2*j + 25 = -c*j. Sort 3, 0, j in ascending order. j, 0, 3 Let f = 4 + -3.6. Let m = f + 3.6. Let c = m - 4. Put 2, -4, c in increasing order. -4, c, 2 Suppose 6 = -2*z - 2. Let x = -76 + 35. Let a = -85/2 - x. Sort a, z, 2/5. z, a, 2/5 Let j be (-4)/10*(-100)/40. Sort -0.2, j, -3/22 in descending order. j, -3/22, -0.2 Let m = -0.047 + 2.047. Put m, -0.08, 2/9, 1/5 in descending order. m, 2/9, 1/5, -0.08 Let k = -54615 - -54861.11. Let r = -242 + k. Let w = r - 0.11. Sort 0.4, -3, w in decreasing order. w, 0.4, -3 Suppose 5*i - 5 = -0. Let h be (i + -3 + 6)/2. Suppose -4 = -n + 4*q, -n + 2 = 3*q - h. Sort 3, n, -4. -4, 3, n Let b = 1.2 + -0.2. Let p = b + -2. Let t = -42.4 + 42.8. Put t, p, -0.2 in increasing order. p, -0.2, t Let w = 5 - 4. Let n = 165 - 500/3. Sort 3, n, w in increasing order. n, w, 3 Let c = -1 - 0. Let t = 0.3 - -0.7. Let x = c + t. Sort -3, x, -5 in increasing order. -5, -3, x Suppose -v = 3 - 7. Suppose 0 = 3*d - v*d. Let i be 0 - 0 - (-2 + -1). Put -3, d, i in increasing order. -3, d, i Suppose -4*w = -3 + 23. Let n = 12 - 8. Let x be 4/10 - (-44)/(-10). Sort n, w, x. w, x, n Let t(h) = -4*h**3 + 8*h + 2*h**2 - 10*h + 0*h - 1 + 5*h**3. Let l be t(-2). Sort l, 4, -4 in ascending order. -4, l, 4 Let l be ((-3)/(-9))/((-2)/(-30)). Let q = -5 + l. Let g = 3 + -4. Sort 1, q, g in decreasing order. 1, q, g Suppose 2*r + 6*j - 10*j - 14 = 0, 3*r = 5*j + 17. Let w = 0 + -0.2. Put 0.5, w, r in descending order. 0.5, w, r Let o = 18 + -20. Let w be o/(-1) + 11/(-7). Put 2, 3/4, w in descending order. 2, 3/4, w Suppose u - 245 = 6*u. Let j be 2/7*u/63. Put j, 2/5, -2 in decreasing order. 2/5, j, -2 Suppose 1 = -2*r + 5. Suppose 0 = q + 2*w + 4, -4*w = -2*q + 7 + 25. Sort r, -1, q. -1, r, q Suppose -4*f = 2*p + 2, -5*f - 4*p + 10 = p. Let b be (-1)/2 + (-3)/2. Let n be ((0/(-3))/(-4))/b. Put f, 4, n in increasing order. f, n, 4 Let v = -11 - -6. Let a = -9 - v. Let k = a + 4. Sort k, -2/3, -5 in decreasing order. k, -2/3, -5 Let q = -65 + 324/5. Put q, -6, -4 in ascending order. -6, -4, q Let h(p) = p + 14. Let m be h(-6). Suppose -l + 5*l - m = 0. Let b = 1.4 - 0.4. Sort l, b, -2/7 in decreasing order. l, b, -2/7 Suppose o + o = 5*f - 15, 0 = -3*f + 3. Sort -2, 4, o in decreasing order. 4, -2, o Let d be 2 + (6/(-3) - -1). Let j be 0/((-2)/(-6)*3). Put d, 2, j in decreasing order. 2, d, j Let f(w) = -w**2 + 3*w - 2. Let y be f(2). Let l = 7 + -3. Suppose 13 = -h - l*s, 0*h - 4*s = 3*h + 15. Put y, h, 4 in increasing order. h, y, 4 Suppose 4*d + 2*d = 0. Suppose 3*c - 2*m + 6*m + 14 = 0, -2*m = -2*c. Put c, d, -4 in ascending order. -4, c, d Let d = -1.4 - -0.4. Let l = d - -0.6. Let j = l + 1.4. Put 2/15, 0.1, j in descending order. j, 2/15, 0.1 Let z(v) = -v**2 + 5*v - 4. Let s be z(3). Suppose -2 = 4*c + s. Sort c, -5, 1. -5, c, 1 Let l(q) = q**3 - 13*q**2 - 12*q - 25. Let n be l(14). Put n, -5, -3 in ascending order. -5, -3, n Let u = -34 - -30. Sort -0.04, -0.5, -2/3, u in descending order. -0.04, -0.5, -2/3, u Suppose 0*f = 3*f - 39. Suppose -2 - f = -3*i. Suppose 5*x - 1 = -6. Put x, i, 0 in decreasing order. i, 0, x Let f be 7/14 - (-6)/4. Sort 5, 1, -5, f in decreasing order. 5, f, 1, -5 Suppose 2*s = d + 3*s, 0 = 3*d + 2*s. Let r be ((-9)/(-21))/((-8)/(-56)). Put r, d, 2 in ascending order. d, 2, r Let z = 8 + -4. Let y = -43 + 41. Sort z, -3, y.
{ "pile_set_name": "DM Mathematics" }
d without replacement from nnngrnnjnnnnnjnggnn. Give prob of picking 3 g. 1/969 Calculate prob of picking 2 q when two letters picked without replacement from vpqavq. 1/15 Two letters picked without replacement from ayaayy. What is prob of picking 1 a and 1 y? 3/5 What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 4, j: 9, a: 1}? 27/182 Two letters picked without replacement from {w: 4, m: 1, j: 3}. Give prob of picking 1 j and 1 m. 3/28 Four letters picked without replacement from weteycwkkewewwy. Give prob of picking 1 y, 2 e, and 1 t. 4/455 Calculate prob of picking 4 f when four letters picked without replacement from {f: 3, v: 2}. 0 Three letters picked without replacement from {d: 2, e: 1, a: 4, l: 2}. Give prob of picking 1 d, 1 l, and 1 e. 1/21 Four letters picked without replacement from wawboopappaypyyw. What is prob of picking 1 w, 1 p, 1 o, and 1 a? 18/455 Two letters picked without replacement from bubbubuuubuuubbwbbu. What is prob of picking 1 w and 1 b? 1/19 Calculate prob of picking 3 e when three letters picked without replacement from nnnnleeeexeel. 10/143 Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {i: 8, y: 3}. 4/165 What is prob of picking 3 a and 1 f when four letters picked without replacement from ffffaafffffaaa? 90/1001 Three letters picked without replacement from yqqq. Give prob of picking 2 q and 1 y. 3/4 Three letters picked without replacement from gggmmelgggngnlgglm. What is prob of picking 1 g and 2 n? 3/272 Calculate prob of picking 1 a, 1 c, and 1 w when three letters picked without replacement from {c: 8, a: 2, w: 5}. 16/91 Four letters picked without replacement from rtbbratttbtrt. Give prob of picking 1 a, 2 t, and 1 b. 9/143 Calculate prob of picking 1 n and 3 a when four letters picked without replacement from {a: 17, n: 3}. 8/19 Three letters picked without replacement from wwwnwndwnwnwdw. Give prob of picking 3 w. 2/13 What is prob of picking 1 r, 1 z, and 1 e when three letters picked without replacement from {e: 3, r: 1, z: 1, k: 1, t: 1}? 3/35 Calculate prob of picking 2 s and 2 a when four letters picked without replacement from {s: 5, a: 2, w: 5}. 2/99 What is prob of picking 2 y and 1 d when three letters picked without replacement from qhywqdyqwxqqd? 1/143 Three letters picked without replacement from {t: 2, a: 1, v: 1}. What is prob of picking 1 a and 2 t? 1/4 Two letters picked without replacement from {v: 2, k: 2, i: 2, u: 1, e: 7, f: 1}. What is prob of picking 1 k and 1 i? 4/105 What is prob of picking 2 v when two letters picked without replacement from lgvgggkkqqglv? 1/78 Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fffnffnffffdxxffnxx. 11/171 Three letters picked without replacement from xuuuxuuuuuuuux. Give prob of picking 3 u. 165/364 Calculate prob of picking 1 y and 2 z when three letters picked without replacement from {z: 3, y: 5}. 15/56 Four letters picked without replacement from {u: 1, j: 3, g: 2, b: 1, s: 3}. Give prob of picking 3 j and 1 u. 1/210 Calculate prob of picking 1 x and 1 u when two letters picked without replacement from uuuuztttpzuxuttuupz. 8/171 Four letters picked without replacement from {i: 4, e: 2, v: 2}. Give prob of picking 2 v and 2 i. 3/35 Three letters picked without replacement from {z: 5, g: 14}. What is prob of picking 3 g? 364/969 What is prob of picking 1 b, 1 s, and 1 q when three letters picked without replacement from {s: 1, q: 5, r: 6, b: 2, z: 2}? 1/56 What is prob of picking 1 p and 1 v when two letters picked without replacement from mmvpvlmvppv? 12/55 Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {g: 4, c: 7, o: 6}. 3/17 Two letters picked without replacement from rbbrsxbbxxbbsasss. What is prob of picking 2 s? 5/68 What is prob of picking 1 l and 2 f when three letters picked without replacement from fffll? 3/5 Two letters picked without replacement from {p: 2, r: 2, c: 1, d: 1, k: 3, a: 3}. What is prob of picking 1 a and 1 d? 1/22 Two letters picked without replacement from {y: 2, e: 1, k: 1, q: 2}. Give prob of picking 1 k and 1 e. 1/15 What is prob of picking 1 s and 1 b when two letters picked without replacement from sbsfsfffbbbfsfssfff? 8/57 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rfpgf. 1/10 Four letters picked without replacement from {w: 1, f: 1, d: 3, k: 2, n: 1, l: 4}. What is prob of picking 1 n, 2 k, and 1 l? 4/495 Three letters picked without replacement from {o: 5, z: 15}. What is prob of picking 3 o? 1/114 What is prob of picking 2 e when two letters picked without replacement from {r: 5, e: 7}? 7/22 Three letters picked without replacement from pdadprosdaas. What is prob of picking 3 a? 1/220 What is prob of picking 2 u and 1 a when three letters picked without replacement from dadqudddduzqqadudqd? 2/323 Calculate prob of picking 3 x when three letters picked without replacement from xxxx. 1 Calculate prob of picking 2 s and 1 g when three letters picked without replacement from ghsihs. 1/20 Calculate prob of picking 3 t and 1 w when four letters picked without replacement from {w: 11, t: 3}. 1/91 Four letters picked without replacement from {v: 9, s: 2, c: 6}. Give prob of picking 1 v, 2 s, and 1 c. 27/1190 What is prob of picking 1 a and 1 q when two letters picked without replacement from {g: 1, a: 14, q: 2}? 7/34 Calculate prob of picking 1 z and 1 m when two letters picked without replacement from znqnmhq. 1/21 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {l: 1, k: 11, q: 1}. 11/78 Calculate prob of picking 1 r, 1 l, and 1 b when three letters picked without replacement from {b: 1, e: 1, m: 1, r: 2, l: 2}. 4/35 Calculate prob of picking 3 i when three letters picked without replacement from tiiiiiiiiiittiiiii. 455/816 What is prob of picking 1 l and 1 t when two letters picked without replacement from {x: 6, t: 11, l: 2}? 22/171 Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {p: 3, i: 6, j: 4, w: 3, z: 4}. 8/95 Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {p: 1, z: 3, g: 9, r: 2, t: 2}. 3/68 Three letters picked without replacement from {c: 2, a: 2, y: 9}. What is prob of picking 2 c and 1 y? 9/286 What is prob of picking 2 p and 1 t when three letters picked without replacement from {t: 5, p: 8}? 70/143 Four letters picked without replacement from qqttmtmytqtmmqmmq. Give prob of picking 1 m and 3 q. 3/119 Four letters picked without replacement from xmmxmmmmxmmmnxmxx. What is prob of picking 3 x and 1 m? 10/119 What is prob of picking 2 p, 1 m, and 1 a when four letters picked without replacement from {v: 2, p: 3, m: 2, l: 3, a: 3}? 18/715 Two letters picked without replacement from nngnnnnnnnnggnn. What is prob of picking 2 g? 1/35 Two letters picked without replacement from {z: 2, x: 5, r: 2}. What is prob of picking 1 x and 1 z? 5/18 What is prob of picking 3 o and 1 w when four letters picked without replacement from wwowwwoowwoo? 14/99 What is prob of picking 2 n and 1 o when three letters picked without replacement from wzwonjne? 1/56 Four letters picked without replacement from {v: 8, a: 2, z: 2}. What is prob of picking 1 a and 3 v? 112/495 Two letters picked without replacement from {y: 3, k: 2, i: 2, e: 4}. What is prob of picking 1 e and 1 i? 8/55 Two letters picked without replacement from zznn. Give prob of picking 1 z and 1 n. 2/3 What is prob of picking 2 h and 1 a when three letters picked without replacement from hiaaihah? 9/56 What is prob of picking 1 v and 1 u when two letters picked without replacement from vvvuveueuvuvv? 14/39 Four letters picked without replacement from {k: 8, w: 8, o: 1}. Give prob of picking 1 o and 3 w. 2/85 Four letters picked without replacement from ddcddddcdcdddd. What is prob of picking 3 c and 1 d? 1/91 Calculate prob of picking 4 q when four letters picked without replacement from zqqqkpzpqooooooz. 1/1820 Calculate prob of picking 3 v and 1 w when four letters picked without replacement from kwwsdvswvedsvkk. 1/455 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
+ w*u for d. -1 Let x be 0/(5/((-20)/(-8))). Suppose -p + 2*p - 1 = x. Solve k = i - p, -k - 3*i + 7 = -2*i for k. 3 Let l be 14*(-1 - (-3)/2). Let k = l + -1. Let m = -3 + k. Solve a - 32 = -4*a + 4*x, 0 = a + m*x + 5 for a. 4 Let i(b) = -b**2 + 2*b + 18. Let w be i(5). Solve 3 = l + w*o, 6 + 7 = -l + 5*o for l. -3 Let k be 0*-1*(-1 + 0). Suppose -5*d - 20 = k, 2*d = -4*q - 0*q + 112. Solve 3*z - z = -5*h + q, 4*h = -z + 21 for h. 4 Suppose -i + 5*r + 2 = 17, 2*i - 26 = -4*r. Let u = -3 + i. Solve 5*n - 29 = -c, 2*c + u*n = 16 + 2 for c. 4 Suppose 13*w = 17*w - 20. Solve -3*z - 12 = -w*f, -2*f + 5*z + 1 = -0 for f. 3 Suppose 3*p - 30 = -3*o, -o = -5*p + 4*o. Solve -4*l - 3 = 2*h + 9, -2*l = -p*h + 30 for l. -5 Let x(q) = q. Let v be x(-4). Let y = v + 6. Suppose -y*a + 2 = 8, -j - 5*a - 10 = 0. Solve -4*z = 3*n - 9, -3*n - z + 4 = -j for n. 3 Suppose t - 6*t - 10 = 0. Let y be 96/(-18)*3/t. Solve m + 3*m + 5*b - 28 = 0, -2*m + 3*b = y for m. 2 Suppose 4*y = a - 73, 4*a - 275 = -0*y - y. Suppose 0 = -2*b - 2*j + 6*j + 38, -3*j + a = 5*b. Solve q = 3*s - 17, -b = -5*s - 0*q - 5*q for s. 5 Let d(x) = 4*x + 3. Let w be d(4). Suppose -2*a - 1 = -7. Solve 5*v = 5*i + 10, a*i = v - 3*v + w for v. 5 Suppose 3*i + 0*i = -3. Let r(m) = -m - 48. Let v be r(-27). Let d be 2/(-3 - i)*v. Solve 4*c - 5*f + 37 = -0*c, -2*c + 3*f - d = 0 for c. -3 Let x be 0 + (-1 - -2)*1. Suppose -20 = 2*n - 3*n. Let m be n/3 - 2/(-6). Solve 2*r = 5*h + m, -x + 3 = -r - 3*h for r. 1 Suppose -6 = -4*x + 6. Suppose 2*o = 2*b - 6, 3*b = -3*o - 0 - x. Solve 2*q + b = 5*q - d, 0 = d + 1 for q. 0 Suppose -2*v + 8 = -4*q, v - 13 = q - 4. Solve -h - 26 = -5*b, -3*b - 1 = 2*h - v for h. -1 Let v be (1*2)/(-9 + 296/32). Solve -5*d = c - v, -c - 4*d + 16 = 3*c for c. 3 Let r be (30/(-9))/((-2)/6). Solve -2*u + v = -3*v + r, 10 = 4*u - 2*v for u. 5 Suppose 4*l = -l + 15. Solve 3*n + l*x + 9 = 2*n, 0 = 4*n - 5*x - 15 for n. 0 Let q be (-8)/(-20) + (-4)/10. Let a = 5 + q. Solve -4*o - 3*t = -5*t + 16, 15 = -5*o + a*t for o. -5 Suppose 2*r = 2*a, -3 = -3*r + 5*a + 5. Let y be 66/14 + r/(-14). Solve -2*p = -y*m - 3, m - 1 = p + p for m. -1 Let o(g) = -5*g + 24. Let i be o(4). Solve 0 = -a - 5*b + 2 + 16, -i*b = 3*a - 21 for a. 3 Suppose 0 = 2*y - 5*y + 54. Let a be 0*(y/(-4) + 4). Solve 4*m + 4 = 0, 5*r = -a*r + 3*m - 22 for r. -5 Suppose -3*f - 27 = -3*l, -33 = l - 3*l + 5*f. Let s be (-4)/12 - 38/(-6). Solve n - 2 = 3*n, g - l*n = s for g. 2 Let v = 38 + -20. Solve -11 = -2*d + o - 2*o, 0 = -d - 3*o + v for d. 3 Suppose -3*g + 27 = 2*g + 3*b, -2*g - 3*b + 18 = 0. Let n = 1 - -7. Suppose -h = g*h - n. Solve -8 = -h*o - 2*v, -4*o - 6 = v - 7 for o. -1 Suppose -u - 14 = -4*j + 1, 18 = 5*j - u. Solve j*h - 3*k - 9 = 0, 2*k + 2 = -3*h + h for h. 1 Suppose 0 = -26*i + 9*i + 272. Solve -3*l - 5*r = l + 10, 4*l + i = -2*r for l. -5 Let v be 49 - (-3 + 9)/2. Let c be 4/10 - v/(-10). Solve 3*t + 2*t + 4*d = 32, c*d = 3*t + 3 for t. 4 Let j be ((-22)/(-99))/((-2)/(-36)). Solve 9*c + 13 = -l + 4*c, j*l = 3*c + 17 for l. 2 Suppose -3*d + 0*d = -15. Suppose 5*r + 20 = -4*k, 3*k - 12 = d*k + 3*r. Let s = 2 + k. Solve -5*q = 5*f - 5, f + 8 = -s*q + 4*f for q. -1 Suppose -4*a - 2*b + b = -12, 5*a + b = 14. Let i be 5/(-2) + (-2)/(-4). Let r be (-15)/i*8/6. Solve -a*w = -r, 4*x + 3*w = -w + 12 for x. -2 Let r(o) = -8*o**2 + 2*o - 10 + 2*o - o**3 - 10*o. Let k be r(-8). Let v = k - 3. Solve 0 = -2*s - 2*h + 3 + 3, -5*s + 5*h = -v for s. 5 Let r(j) = j**3 - 4*j**2 + 3*j + 3. Let v be r(3). Let h be (-18)/2*v/(-9). Solve 3*a = h*g + 15, -5*a = g - 2*g - 9 for a. 1 Let n be (48/40)/(3/(-20)). Let l = n + 11. Solve -l*b + 2*s = -17, 16 = b + 2*b - s for b. 5 Let m be (12/9)/((-4)/18). Let d = 10 + m. Let h = -1 - -4. Solve -4*b - 2*w + d = 0, h*w = 4*b + 2*w - 10 for b. 2 Suppose -23 = -2*w + 4*x - 1, -5*w + 23 = -2*x. Let q(c) = 3*c - 1. Let z be q(1). Suppose -z*v = -4*v. Solve 3*m = -7*p + w*p - 21, 4*m - 5*p - 3 = v for m. -3 Let u = 12 + -10. Solve 3*o - w + 10 = 0, -4*w + 10 = 2*o - u for o. -2 Let b(o) = -2 - 2 - 2*o + 1. Let i(v) = -2*v + 4. Let r be i(4). Let q be b(r). Solve 6*a - 2*a = y - 25, 2*a + q = -y for a. -5 Let f be ((-30)/(-3))/(2 - (1 + -1)). Solve 0*h - h + f*a = -24, 4*h = -5*a - 29 for h. -1 Let l = 4 - 2. Suppose -2*z - l = -z. Let c be z/4*-10 + -3. Solve 3*f + 5 = 2*v, v - 2*f - c = -v for v. -2 Let x(z) = 1 - z + 3 + 7. Let t(h) = -2*h + 32. Let i(a) = 6*t(a) - 17*x(a). Let j be i(6). Solve -3*f + 4*u + j = -0*f, 3*f + 3*u = 0 for f. 5 Let o be (-18)/(6/(-2)) + -2. Suppose -5*i + z + 13 = -z, i - 7 = -o*z. Suppose -5*s + 16 = 6, -n + 3*s = i. Solve -n*d = 2*y + 9, y = -d - 2*d - 9 for y. 0 Suppose -6*h + 2*h = -100. Solve 5*d + 25 = t, -4*d = d + 2*t + h for d. -5 Let h be (-2)/(-5) + 144/15. Suppose 0 = 2*x + 4*f + h, 0 = 4*x + 4*f + 20. Let j be ((-2)/x)/(2/40). Solve -4*q = -4*t + j, -2*t + 5*t + q = -6 for t. -1 Suppose 5*k - 28 = -2*g, 7 = 3*g + 2*k - 13. Solve 15 = -5*b - 5*z, 2*b + 3*z = g*b + 16 for b. -5 Let r = -31 + 56. Suppose 2*k - r = -3*z, -2*k + 1 = -4*z + 11. Let o = z - 0. Solve -o*l - 3*y + 1 = 0, 2*l - 6*l - 2 = y for l. -1 Suppose -3*g - 2*b = -7*b - 38, -g = 5*b - 6. Let k = g - 5. Solve 0 = -n + 2*i - i + k, 5*n + 5*i + 20 = 0 for n. 1 Let a(q) = 9*q - 14. Let s be a(2). Solve -4*o = -s*k - 12, 5*o + 2*k - 9 = 6 for o. 3 Let q be -4*(-4)/(-8)*(-10)/4. Solve 3*z + 2*r = 9, q*r = -7*z + 2*z + 15 for z. 3 Suppose 0 = -14*w + 67 + 45. Solve 3*o + a - 3*a - w = 0, -5*a = 5 for o. 2 Let f = 3 - 0. Suppose 0*l - 23 = -4*l + i, -f*i - 24 = -3*l. Solve -3*w = -3*p + 21, -3*p - 9 = w - l*p for w. -5 Let t be ((-6)/10)/((-3)/15). Suppose -2*b + 11 = 5. Solve 4*p - t*y - 9 = p, -3*p = b*y + 15 for p. -1 Let b(s) = -s**2 - 8*s - 6. Let f be b(-8). Let m = f + 6. Suppose 0 = 3*x - m*x - 18. Solve 2*r + 3*u = -2 - x, -2*r - 4*u = 12 for r. 2 Suppose -69 - 66 = 3*z. Let s be -5*3/(z/24). Let q be 2/s - 14/(-8). Solve -3*u + 4*y = 12, -5*u - q*y + 10 = 4 for u. 0 Let f(d) = -d + 6. Let q be f(-6). Suppose q - 37 = -5*z. Solve m - 5*j = 10, z = 3*m + 4*j - 6 for m. 5 Let o(h) = -4*h + 6. Let u be o(4). Let f = -3 - u. Solve -v + 2*c = 3, -3*c = f*v - 2*v - 11 for v. 1 Suppose -2 = -3*g + 13. Solve 2*i = -2*y - 2, 2*y + 14 = -0*i - g*i for y. 3 Let j be (120/(-32))/((-3)/(-8)). Let h = -5 - j. Suppose -2 = v - h. Solve -4*u + 7 = v*t - 10, u - 5*t = 10 for u. 5 Let s(y) be the first derivative of -y**3/3 + 3*y**2 - 6*y - 3. Let l be s(4). Solve -3*m + 4*z = 14, -4*m - 2*z = l + 2 for m. -2 Let h = -10 + 18. Suppose -4*u - 4 = 4*o - h*o, 3*o - 3 = -u. Suppose -3*z + 69 = -u*z. Solve -5*m = -3*v + z, 2*m + 2*m + 20 = 4*v for v. 1 Let h(u) be the second derivative of -u**5/20 + u**3/3 - u**2/2 - 6*u. Let t be h(-2). Solve -2*j + 7*j + 3 = -w, 13 = 5*w - t*j for w. 2 Suppose -2*d = -0 - 2. Let x be 3 + -2 + 2 + d. Solve -4*p = -4*f + 4, -x*p + 0 = 4*f + 4 for p. -1 Let n = 10 - 8. Suppose 25 = -n*q + 3*q. Solve 5*u - 35 = -2*f, f + q = 3*u + 3*f for u. 5 Let r(t) = 3*t**2 - 15*t - 13. Let f be r(6). Solve -2*u - 8 = -x - 2, f*u + 5*x = -30 for u. -4 Suppose 5*p = p + 8. Solve -2*b = -p*n + 2, -b = 3*n + 13 - 0 for n. -3 Suppose 2*p + 4 = 10. Solve 0 = p*g + 2*c + 4, -g + c = -3*g - 3 for g. -2 Let g = -5 - -9. Suppose -20 = -g*i - 4. Solve 2*b - 2 = 0, -5*b = -r - i*r - 10 for r. -1 Let i(z) = -z**3 - 3*z**2 - 2*z + 2. Let l be i(-2). Solve -3*w + 5*v = -l*w + 15, 4*v - 23 = 3*w for w. -5 Let q = 8 - 6. Suppose -12 = -2*a - q. Solve y = -2*k - 4*y - a, 4*k - 4*y = 4 for k. 0 Suppose -13*x + 10*x = -15. Solve -9 = -t - 2*b, 3*b - 4*b + 27 = x*t for t. 5 Let b be (2 + 1 + (18 - 15))/2. Solve -b = j - 0*j, 4*s - 15 = j for s. 3 Let q be 2/(-7) + 2/7. Let o = 2 - q. Let v be o/(-3) + 24/9. Solve -g = -v*b - 6, 0*g - g = -3*b - 8 for g. 2 Let y(s) = -s**3 + 4*s**2 - s + 4. Suppose 0 = 3*n + 2*j - 9, 2*n + 5*j + 2 = 8. Let w be y(n). Solve 4*z = i + 2*i + 35, 0 = 2*z - w for i. -5 Let r be 2/17 + (-66)/(-17). Solve -h = 4*h - z + 5, -4*h - 4 = -r*z for h. -1 Let d(y) = y**3 + 7*y**2 + 7*y + 6. Let c be d(-6). Suppose -2*q - 1 + 9 = 0. Suppose -q*v + 12 = -c*v. Solve -3*n = v*u + 9, 5*u + 5*n + 3 = 4*n for u. 0 Let n be (-16)/(-8 - 0)*(2 - 0). Solve n*s - 2*g = -12, s - g - 3 = -7 fo
{ "pile_set_name": "DM Mathematics" }
2*v + 94 What is the a'th term of -8660, -33558, -74690, -132056, -205656, -295490, -401558? -8117*a**2 - 547*a + 4 What is the q'th term of -370, -890, -1634, -2590, -3746? 2*q**3 - 124*q**2 - 162*q - 86 What is the f'th term of -279, -1259, -2915, -5289, -8423, -12359? -7*f**3 - 296*f**2 - 43*f + 67 What is the p'th term of 57700, 115381, 173066, 230755, 288448, 346145? 2*p**2 + 57675*p + 23 What is the v'th term of -8583, -17079, -25471, -33747, -41895, -49903, -57759? 2*v**3 + 40*v**2 - 8630*v + 5 What is the g'th term of 4300, 6140, 9210, 13510? 615*g**2 - 5*g + 3690 What is the v'th term of 1020922, 1020922, 1020924, 1020928, 1020934, 1020942, 1020952? v**2 - 3*v + 1020924 What is the x'th term of -1288, -4774, -10608, -18790, -29320? -1174*x**2 + 36*x - 150 What is the r'th term of -29572, -236865, -799636, -1895623, -3702564, -6398197, -10160260, -15166491? -29623*r**3 - r**2 + 71*r - 19 What is the q'th term of -6084828, -12169661, -18254494, -24339327? -6084833*q + 5 What is the b'th term of 78356, 77772, 76242, 73292, 68448, 61236? -79*b**3 + b**2 - 34*b + 78468 What is the b'th term of -2249969, -2250422, -2251185, -2252264, -2253665, -2255394, -2257457? -b**3 - 149*b**2 + b - 2249820 What is the u'th term of -382189, -764400, -1146613, -1528828, -1911045, -2293264, -2675485? -u**2 - 382208*u + 20 What is the q'th term of -27970, -52427, -76874, -101305, -125714? q**3 - q**2 - 24461*q - 3509 What is the u'th term of -22663, -90619, -203877, -362437? -22651*u**2 - 3*u - 9 What is the y'th term of -1167800, -2335297, -3502794, -4670291, -5837788, -7005285? -1167497*y - 303 What is the g'th term of 261649347, 261649345, 261649341, 261649335, 261649327? -g**2 + g + 261649347 What is the a'th term of -244, -69, 58, 137, 168, 151, 86? -24*a**2 + 247*a - 467 What is the q'th term of -2138346, -2138207, -2138072, -2137941, -2137814? -2*q**2 + 145*q - 2138489 What is the y'th term of -683676, -682995, -682314? 681*y - 684357 What is the p'th term of -39955, -42703, -45439, -48157, -50851, -53515, -56143? p**3 - 2755*p - 37201 What is the z'th term of -7172959, -14345767, -21518575, -28691383? -7172808*z - 151 What is the l'th term of 490979042, 490979045, 490979048? 3*l + 490979039 What is the l'th term of -134169, -268361, -402553, -536745, -670937, -805129? -134192*l + 23 What is the d'th term of -5275, -20881, -46821, -83095? -5167*d**2 - 105*d - 3 What is the z'th term of 2972, 2894, 2758, 2558, 2288, 1942, 1514? -z**3 - 23*z**2 - 2*z + 2998 What is the g'th term of -12841667, -12841653, -12841629, -12841595, -12841551, -12841497, -12841433? 5*g**2 - g - 12841671 What is the a'th term of 2576, 2646, 2764, 2930? 24*a**2 - 2*a + 2554 What is the p'th term of 13392, 13474, 13632, 13872, 14200, 14622, 15144, 15772? p**3 + 32*p**2 - 21*p + 13380 What is the a'th term of 9224, 11957, 14690, 17423? 2733*a + 6491 What is the f'th term of 1068223, 2136540, 3204857, 4273174, 5341491, 6409808? 1068317*f - 94 What is the w'th term of -59208, -58943, -58502, -57885? 88*w**2 + w - 59297 What is the w'th term of -637367, -637370, -637373? -3*w - 637364 What is the t'th term of -575, -646, -733, -836? -8*t**2 - 47*t - 520 What is the n'th term of 5838, 5655, 5172, 4245, 2730, 483? -24*n**3 - 6*n**2 + 3*n + 5865 What is the y'th term of -8448, -16889, -25320, -33735, -42128, -50493, -58824? y**3 - y**2 - 8445*y - 3 What is the t'th term of 4767, 38295, 129307, 306549, 598767, 1034707? 4791*t**3 - 4*t**2 + 3*t - 23 What is the y'th term of 4267, 8957, 13587, 18151, 22643, 27057, 31387? -y**3 - 24*y**2 + 4769*y - 477 What is the k'th term of -714678, -714664, -714630, -714570, -714478? k**3 + 4*k**2 - 5*k - 714678 What is the m'th term of 194423, 194173, 193923, 193673? -250*m + 194673 What is the l'th term of 15438, 15550, 15704, 15900, 16138, 16418, 16740? 21*l**2 + 49*l + 15368 What is the k'th term of 2843642, 5686825, 8530008, 11373191, 14216374? 2843183*k + 459 What is the p'th term of -24737, -49884, -75027, -100166, -125301? 2*p**2 - 25153*p + 414 What is the t'th term of 418, 364, 320, 292, 286? t**3 - t**2 - 58*t + 476 What is the q'th term of -307418, -614820, -922222, -1229624, -1537026, -1844428? -307402*q - 16 What is the b'th term of -720, -4184, -13138, -30324, -58484, -100360, -158694? -457*b**3 - 3*b**2 - 256*b - 4 What is the c'th term of -2294962, -4589928, -6884894, -9179860, -11474826, -13769792? -2294966*c + 4 What is the o'th term of 10567267, 21134534, 31701801? 10567267*o What is the n'th term of 21429, 17128, 12827, 8526, 4225, -76? -4301*n + 25730 What is the k'th term of -4605, -5915, -7219, -8523, -9833, -11155, -12495? -k**3 + 9*k**2 - 1330*k - 3283 What is the f'th term of -111591, -223364, -335137? -111773*f + 182 What is the t'th term of -82387731, -82387733, -82387735? -2*t - 82387729 What is the s'th term of 4878, 13625, 28204, 48615? 2916*s**2 - s + 1963 What is the t'th term of -2846, -11844, -26960, -48194, -75546? -3059*t**2 + 179*t + 34 What is the j'th term of -10812224, -10812223, -10812222, -10812221, -10812220? j - 10812225 What is the j'th term of 10023424, 10023426, 10023428, 10023430? 2*j + 10023422 What is the k'th term of -812019, -1623951, -2435793, -3247545, -4059207? 45*k**2 - 812067*k + 3 What is the v'th term of 202665, 810606, 1823823, 3242316? 202638*v**2 + 27*v What is the t'th term of -8696, -35084, -79062, -140630, -219788, -316536? -8795*t**2 - 3*t + 102 What is the f'th term of 1833, 2644, 4957, 9522, 17089, 28408? 125*f**3 + f**2 - 67*f + 1774 What is the b'th term of 10127094, 20254226, 30381356, 40508484, 50635610? -b**2 + 10127135*b - 40 What is the d'th term of 503784, 1007536, 1511262, 2014950, 2518588? -2*d**3 - d**2 + 503769*d + 18 What is the n'th term of -2269, -18063, -60915, -144349, -281889, -487059? -2254*n**3 - 5*n**2 - n - 9 What is the d'th term of -734797, -735180, -735819, -736714? -128*d**2 + d - 734670 What is the o'th term of -4967, -10189, -15425, -20669, -25915, -31157, -36389? o**3 - 13*o**2 - 5190*o + 235 What is the o'th term of -46384, -48935, -53194, -59167, -66860, -76279? -o**3 - 848*o**2 - 45535 What is the t'th term of 2385742, 2385707, 2385672, 2385637, 2385602? -35*t + 2385777 What is the q'th term of -61442, -245782, -553016, -983144, -1536166, -2212082, -3010892? -61447*q**2 + q + 4 What is the t'th term of -94804, -94683, -94530, -94333, -94080, -93759, -93358? 2*t**3 + 4*t**2 + 95*t - 94905 What is the o'th term of -333524, -667045, -1000566? -333521*o - 3 What is the p'th term of 3284, 6543, 9822, 13121? 10*p**2 + 3229*p + 45 What is the q'th term of -48, 936, 2978, 6078, 10236, 15452? 529*q**2 - 603*q + 26 What is the w'th term of -415344, -830749, -1246154, -1661559? -415405*w + 61 What is the g'th term of -465632, -931264, -1396896, -1862528, -2328160? -465632*g What is the d'th term of -48448185, -48448186, -48448187? -d - 48448184 What is the n'th term of 6565, 6842, 7117, 7390, 7661, 7930? -n**2 + 280*n + 6286 What is the q'th term of 222192567, 222192579, 222192593, 222192609, 222192627? q**2 + 9*q + 222192557 What is the p'th term of 856658, 1713360, 2570062? 856702*p - 44 What is the d'th term of -2730, -5331, -7806, -10155, -12378? 63*d**2 - 2790*d - 3 What is the l'th term of -42936, -42618, -42286, -41934, -41556? l**3 + l**2 + 308*l - 43246 What is the h'th term of -3505534, -3505530, -3505526, -3505522, -3505518? 4*h - 3505538 What is the k'th term of -2619, -14153, -33379, -60297, -94907? -3846*k**2 + 4*k + 1223 What is the m'th term of -3514, -7021, -10454, -13777, -16954, -19949, -22726, -25249? 6*m**3 + m**2 - 3552*m + 31 What is the q'th term of -638244, -1276486, -1914714, -2552922, -3191104? q**3 + q**2 - 638252*q + 6 What is the h'th term of -910539, -3642187, -8194935, -14568783, -22763731, -32779779, -44616927? -910550*h**2 + 2*h + 9 What is the o'th term of 16767376, 16767375, 16767374, 16767373? -o + 16767377 What is the b'th term of -7247057, -14494094, -21741131, -28988168? -7247037*b - 20 What is the q'th term of -119548, -478081, -1075636, -1912213? -119511*q**2 - 37 What is the f'th term of -4125, -4742, -5349, -5940, -6509, -7050, -7557, -8024? f**3 - f**2 - 621*f - 3504 What is the x'th term of 45807, 45770, 45683, 45
{ "pile_set_name": "DM Mathematics" }
be o(-12). Suppose 0 = n*x - 4*x - 137. What is the hundreds digit of x? 1 Let i be 44/6 + (-10)/30 - 7. Let v(k) be the second derivative of -k**4/12 - k**3/3 + 20*k**2 + k. What is the units digit of v(i)? 0 What is the hundreds digit of 35241/36 - (2/(-24) + 0)? 9 What is the tens digit of -5*((-1165)/(-20))/((-15)/24)? 6 Let k = 20 - 32. Let m(s) = -10*s**2 - 3*s + 22*s**2 + 0*s**2 + 3*s**3 + 14 - 2*s**3. What is the tens digit of m(k)? 5 Let p(b) = -b**3 + 10*b**2 - 16*b + 3. Let g be p(8). Suppose -u - 192 = -g*u. What is the tens digit of u? 9 Suppose -2*c + 2*r + 396 = 0, 2*c - r = 5*c - 602. What is the units digit of c? 0 Let c = -11 + 3. Let n = c - -8. What is the tens digit of (n + -10)*(-8)/5? 1 What is the hundreds digit of ((-34)/(-6))/(3/171)? 3 What is the hundreds digit of (8/(-7))/((-38)/22211)? 6 Let b be -2 + 1 - (-32)/12*3. Suppose 9*p = b*p + 180. What is the units digit of p? 0 Let t(y) = -4*y + 9. Let b be t(6). Let q = b - -17. Suppose n = q*n - 4. What is the units digit of n? 4 Suppose 3*n - 1698 = 3*y, -4*n = n + 4*y - 2875. What is the tens digit of n? 7 Let k = -658 - -1214. What is the units digit of k? 6 Let p = -1120 + 1937. What is the tens digit of p? 1 Let w(h) = h**2 + 2*h + 1. Let o be w(2). Suppose -o*j = -13*j + 32. Let k = j - -12. What is the tens digit of k? 2 Let r be (-1 - -21)/(-18 - -20). Suppose -3*v + 77 + r = 0. What is the units digit of v? 9 Let a be 3 - (10/5 - -1). Suppose a = l - 4*l + 438. Let f = 212 - l. What is the tens digit of f? 6 Suppose l = 2*c + 1760, -36*l + 8800 = -31*l - 2*c. What is the hundreds digit of l? 7 Suppose 2*x = 4*d - 2, -2*d - 14 = -7*x + 3*x. Suppose s - x*h - 83 - 111 = 0, 2*s + 2*h = 400. What is the units digit of s? 9 Let p(n) be the first derivative of -3*n**2/2 - 6*n - 12. What is the units digit of p(-5)? 9 Let j(b) = b - 5*b + 3*b + 4*b - 20. Let q be j(18). Suppose -3*m + 102 = -3*u, -q = -m - 3*u - 2*u. What is the tens digit of m? 3 Let h = -246 + 437. What is the tens digit of h? 9 Suppose 0 = 2*t - 6, -11*r + 3101 = -7*r - 5*t. What is the tens digit of r? 7 Let c be 3/(-4)*(-24)/3. Let h be (0 - 1) + 0/1. Let l = h + c. What is the units digit of l? 5 Suppose 4*n - 7504 = -2*u, 0 = 4*n - 4*u + 8*u - 7508. What is the hundreds digit of n? 8 Suppose -2*h - 3 = -11. Let g be (140/21)/(h/6). What is the units digit of g*2*(-6)/(-6)? 0 Let q be 9/24 + (-3985)/(-40). What is the tens digit of q/(2/(-2 + 4))? 0 What is the units digit of 1044/1 + (76 - 82)? 8 What is the units digit of (-4 + 2 + -3269)*(-3 + 2)? 1 Suppose -84 = -6*y + 2*y. Suppose -3*t = -y - 3. Suppose i + 2 - t = 0. What is the units digit of i? 6 Suppose 5*w = r + 2261, 3*r - 658 = -2*w + 243. What is the tens digit of w? 5 Let z be 6/((-2)/11 + (-1045)/(-6413)). Let n = 535 + z. What is the hundreds digit of n? 2 Let p be (84 - 1)*(-5 + 4). Let g = p + 92. What is the units digit of g? 9 Let l = 7962 - 3064. What is the units digit of l? 8 Suppose 3*k - 29 + 5 = 0. Suppose -4*b = k*b - 3084. What is the units digit of b? 7 Let o = 321 - 66. What is the tens digit of o? 5 Suppose -4*f - 62 = -5*d + 59, -d + 20 = -5*f. Let i = 1 + -19. Let g = i + d. What is the units digit of g? 7 Suppose -63292 = -19*l + 8661. What is the thousands digit of l? 3 Suppose 17*l - 9624 = 5*l. What is the tens digit of l? 0 What is the units digit of 9/63*7*(-313)/(-1)? 3 Let d(v) = 22*v**3 + 7*v**2 - 6*v + 1. What is the hundreds digit of d(5)? 8 Let u(y) = 5*y - 7. Let q(m) = 4*m - 7. Let j(x) = -6*q(x) + 5*u(x). What is the units digit of j(-4)? 3 Suppose 82 = 4*q + 5*g, -4*g + g + 40 = 2*q. Let n = -56 + q. Let s = 71 + n. What is the units digit of s? 8 Let g be (-33)/(-5) + 12/(-20). Let m(u) = -u + 9. Let a be m(g). What is the tens digit of -2 + 0/a - -39? 3 Suppose 14*r - 7 - 21 = 0. Let d be (-2 + (-8)/(-6))*-6. Suppose -f - d = -r*f. What is the units digit of f? 4 Let q(y) = 8*y**2 - 24*y - 20. Suppose 2*h = 5*h + 12. Let u(t) = -3*t**2 + 8*t + 7. Let l(n) = h*q(n) - 11*u(n). What is the units digit of l(-11)? 6 Let v be 1 - ((-75)/(-20))/(9/12). Let u(l) = -12*l - 36. What is the tens digit of u(v)? 1 Let h = 337 + -129. Suppose o - 4*j = 135, -3*o + h = -3*j - 170. What is the tens digit of o? 2 Suppose -107*i + 110*i - 666 = 0. What is the tens digit of i? 2 Let l(n) = -2010*n - 185. What is the thousands digit of l(-1)? 1 Let l(b) = 5*b + 22. Let a(s) = 5*s**2 + 4*s + 9. Let z be a(-2). What is the hundreds digit of l(z)? 1 Let r = -103 + 106. Suppose c - 148 = -2*k + r*c, 288 = 4*k + 4*c. What is the units digit of k? 3 Let z be ((-66)/(-8))/11 + 22/(-8). What is the tens digit of (-23)/z*6*1/3? 2 Let m(l) = 6 - 85*l + 86*l + 0. Let p be m(-16). What is the units digit of (-1 + 0)*(p - -6)? 4 Let r(t) = -t**3 + 12*t**2 - 10*t - 13. Let s be r(11). What is the units digit of ((-22)/8)/(s/16)? 2 Let r(m) = 39*m**2 - 8*m + 9. What is the hundreds digit of r(5)? 9 Let u(z) = -z**3 + 8*z**2 - 9*z + 10. Let v be u(7). Let r = 0 - v. Let p = r + 8. What is the tens digit of p? 1 Let f be 3/(-2*4/376). Let n = 20 - f. What is the tens digit of n? 6 Let i be (22/8 - 3)*-12. What is the units digit of ((-3)/i)/(1/(-3)) + 19? 2 Suppose -10*f + 6*f + s + 8375 = 0, -4*s = -4. What is the thousands digit of f? 2 Let b(k) = 4*k - 4. Let v be b(2). Suppose -2*z + 410 = 3*h + 3*z, -2*h = v*z - 270. What is the hundreds digit of h? 1 Let n = 1142 - 438. What is the tens digit of n? 0 Let b(h) = h**2 - 12*h + 7. Let j be b(11). Let c(o) = -o**2 + 3*o + 2. Let t be c(4). What is the units digit of 1/t - 34/j? 8 Let l(p) = 5*p - 21. Let z(i) = 2*i - 10. Let d(m) = 3*l(m) - 5*z(m). Suppose 0 = -2*y + t + 22, y - 5*t = 6 + 14. What is the tens digit of d(y)? 3 Let z = -5 - -263. What is the units digit of z? 8 Let i(q) = -q**3 - 5*q**2 - 5*q. Let d be i(-4). Let z(u) = -u**3 + 17*u**2 + u - 21. Let k be z(17). What is the tens digit of 1/d + (-59)/k? 1 Let g(v) = 10*v**2 - 7*v + 8. Suppose 15 = 3*q + 5*r, -5*r + 3 - 8 = -q. What is the tens digit of g(q)? 2 Let b(i) = i + 11. Let z be b(-9). Let u be (6/5)/(z/(-10)). What is the units digit of 26/(-3)*u/4? 3 Suppose 3*k = 5*s + 113, 0 = 2*s - 5 - 5. What is the units digit of k? 6 Suppose -3*c - j = -22, -3*j = 2*c + j - 8. Let b be (1 - c)*(-60)/(-35). What is the tens digit of 4/b*3 + 25? 2 Let h(k) = 2 + 0*k**2 - 2*k**2 - k**2 - 6*k**3 + 0. Let u be h(-2). Suppose j - 17 - u = 0. What is the units digit of j? 5 Let a(w) = -2*w**2 + 3*w + 125. What is the tens digit of a(0)? 2 Suppose 5*m + 3406 = 18*m. What is the units digit of m? 2 Suppose -3*d = 9, -4*d - 631 = -4*m - 3*d. What is the hundreds digit of m? 1 Let i = 660 + -196. What is the tens digit of i? 6 Let k(c) = c**2 - 4*c + 3. Let s be k(4). Suppose 0 = -5*j + s*l + 435, -261 = -3*j + 6*l - 4*l. What is the units digit of j? 7 Let c = 9 + 5. Suppose -11 = 5*k + c, -3*k - 335 = -5*i. What is the tens digit of i? 6 Let r = 141 + -88. Suppose -r = -4*g + 135. Suppose -4*o - 11 + g = 0. What is the units digit of o? 9 Suppose -10*y + 273 + 507 = 0. Suppose 5*j - y = -8*j. What is the units digit of j? 6 Suppose 78*y - 1625 = 73*y. What is the hundreds digit of y? 3 Suppose 35 + 5 = 4*j. Let u(q) = 10*q - 66. What is the units digit of u(j)? 4 Let c(g) be the second derivative of g**3/3 + g**2 - 2*g. Let r be c(4). What is the tens digit of 260/(-25)*r/(-4)? 2 Let z = 34 - 29. Suppose -z*c - l = -929, c + 3*l = 18 + 165. What is the tens digit of c? 8 Suppose -3*i = -3*h, 2*i - h - 3 = -2*h. Let p(z) = 19*z + 3. What is the tens digit of p(i)? 2 What is the hundreds digit of (-51 + 608)*2/2? 5 Let x = -64 - -66. Suppose 0 = x*h + 5*q - 0*q - 45, -h - 2*q + 24 = 0. What is the tens digit of h? 3 Suppose -6*t - 93 = -9*t. Suppose 615 = -28*u + t*u. What is the units digit of u? 5 Suppose -109*s + 3642 = -103*s. What is the tens digit of s? 0 Let p(o) = o**2 - 3*o + 3. Let z be p(3). Suppose 0 = -z*n + b - 2, -2*n - 4 + 0 = -2*b. Let j = 2 - n. What is the units digit of j? 2 Let d(f) = 2*f**3 - 6*f**2 + 1. Let k be d(4). Let o = 38 + k. What is the units digit of o? 1 Let y(t) be the first derivative of t**4/4 - 6*t**3 + 11*t**2 - 18*t - 4. What is the tens digit of y(17)? 6 Let o = 1837 + -1179. Wh
{ "pile_set_name": "DM Mathematics" }
of -o**4/8 + 2*o**2. Let c(q) = 10*q. What is -2*c(n) - 7*s(n)? n Let h(y) = 4*y - 6. Let b(l) = 7*l - 11. What is -6*b(s) + 10*h(s)? -2*s + 6 Let z(h) = 5*h**2 + 3*h + 15. Let o(g) = 2*g**2 + 2*g + 8. What is 7*o(y) - 4*z(y)? -6*y**2 + 2*y - 4 Let u(g) = -13*g**2 - 25*g + 20. Let x(k) = -6*k**2 - 12*k + 10. Let m(a) = 2*u(a) - 5*x(a). Let w(t) = -3*t**2 - 7*t + 7. Give 5*m(l) + 7*w(l). -l**2 + l - 1 Let y(a) = 7*a**3 - 21*a - 21. Let u(c) = -c**3 + c + 1. Calculate -21*u(w) - y(w). 14*w**3 Let d(s) be the second derivative of 1/20*s**5 - 1/6*s**4 + 0 - 9*s + s**2 - 1/3*s**3. Let a(i) = -5*i**3 + 9*i**2 + 9*i - 9. Calculate 2*a(p) + 9*d(p). -p**3 Let a = 10 + -16. Let g = a - -7. Let s(n) = n**3 - n - 1. Let z(v) = -6 + 3 + 2*v**3 - 3*v + 0*v**3. Calculate g*z(o) - 3*s(o). -o**3 Let c(m) = -m**3 + 4*m**2 - 3*m. Let j be c(3). Let p(b) = 3*b**2 + j + b + 6 + b**2. Let z(d) = d**2 + 1. Determine -p(w) + 6*z(w). 2*w**2 - w Let j(v) = -4*v**3 - 2*v**2 + 3*v + 2. Let z(s) be the first derivative of 11*s**4/4 + 2*s**3 - 4*s**2 - 6*s + 16. What is 8*j(t) + 3*z(t)? t**3 + 2*t**2 - 2 Let z(f) = -f**3 - f. Let q(o) = 3*o**3 + 2*o**2 + 2*o - 3. Determine -q(m) - 2*z(m). -m**3 - 2*m**2 + 3 Let q(b) = 3*b - 3. Let v(f) = 2*f - 8. Let x be v(6). Suppose 2*t - x = 4. Let n(h) be the first derivative of 7*h**2/2 - 7*h - 1. Give t*n(c) - 9*q(c). c - 1 Let u(q) = q. Let x be -2*2*(-12)/16. Let g(k) be the first derivative of -2 + 0*k - 2/3*k**x + 3/2*k**2. Give g(h) - 3*u(h). -2*h**2 Let d(p) = p. Let b(o) be the first derivative of o**4/6 - o**2 - 4. Let f(t) be the second derivative of b(t). Calculate -6*d(a) + f(a). -2*a Let p(l) = -l**3 - 2*l**2 - 4*l. Let n(o) = 2*o**3 + 3*o**2 + 7*o. Suppose -7*s = -12*s + 35. Determine s*p(w) + 4*n(w). w**3 - 2*w**2 Suppose -y - 8 = -0*v + 5*v, -4 = -2*y. Let n(q) = -25 + 57 - 29. Let o(a) = a + 16. Determine v*o(x) + 11*n(x). -2*x + 1 Let d(q) = 11*q + 3. Let p(o) = o**2 + 21*o + 5. Give -5*d(s) + 3*p(s). 3*s**2 + 8*s Let q be 1/(-4) + (-30)/(-24). Let t be (q/3)/((-15)/225). Let n(p) = 3*p**3 + p. Let x(z) = 7*z**3 + 3*z - 1. Give t*n(g) + 2*x(g). -g**3 + g - 2 Suppose p - 8 = -3*p. Let a(u) = 7*u**3 - u**2 - 2*u - 3*u**3 + 4*u**p - u**2. Let f(z) = -z**3 - z**2 + z. Determine -a(b) - 2*f(b). -2*b**3 Let w(h) = -84*h**2 - 70. Let a(y) = y**2 + 1. Give 70*a(k) + w(k). -14*k**2 Let p(g) = g**3 + 4*g**2 - 3*g + 7. Let b be p(-5). Let q(n) = 2*n**2. Let l(r) = -r**2. Give b*q(t) - 8*l(t). 2*t**2 Let i(w) = -5*w + 1. Let m be (-4)/14 + 38/(-14). Let a(p) = p**2 - 8*p - 10. Let x be a(8). Let u(n) = 16*n - 4. Determine m*u(f) + x*i(f). 2*f + 2 Let j(b) = -2*b**2 + 4*b - 5. Let r(y) = 2*y**2 - 3*y + 4. Suppose 0 = m + 6 - 15. Suppose -5*g = -2*g - m. Determine g*r(v) + 2*j(v). 2*v**2 - v + 2 Let g(y) = 2*y + 11. Let a(n) = n + 5. Give -13*a(d) + 6*g(d). -d + 1 Suppose -117 = -10*z + 19*z. Let w(v) be the third derivative of -v**4/3 + 5*v**3/6 - 3*v**2. Let t(u) = -17*u + 11. Give z*w(k) + 6*t(k). 2*k + 1 Let p(n) = 10*n + 0*n + 3*n - 8*n. Let h(k) = -2*k. Give -14*h(g) - 6*p(g). -2*g Let d(h) = -2*h - 1. Let q(u) = 4*u - 12. Give -3*d(b) - q(b). 2*b + 15 Let j = -23 - -6. Let h(g) = -3*g + 6. Let s(b) = -9*b + 17. Calculate j*h(x) + 6*s(x). -3*x Let z(p) = -p + 1. Let w(s) be the second derivative of -s**2/2 + 13*s. What is 3*w(r) - z(r)? r - 4 Let s(k) = k - 1. Suppose x = 4*x - 42. Suppose -5*w - 29 = -p, -4*w - x = 6. Let n(h) = 2 - p + 1 - 1. What is -n(r) + s(r)? r + 1 Let z(p) be the first derivative of -p**3/6 + p**2/2 - 3*p + 2. Let o(k) be the first derivative of z(k). Let m(b) = -5*b + 6. Determine -4*m(x) + 22*o(x). -2*x - 2 Let b(c) = 14*c - 18*c - 5 + 1 + 5. Suppose 7*s = 3*s + 40. Let i(y) be the second derivative of -7*y**3/6 + y**2 + y. Determine s*b(o) - 6*i(o). 2*o - 2 Let r(v) = 26*v**3 - 39*v**2 + 39*v. Let n(h) = -h**3 + h**2 - h. Determine 39*n(o) + r(o). -13*o**3 Let j(g) = 23*g**2 - 2*g - 2. Let k(d) = 22*d**2 - 3*d - 3. What is -3*j(p) + 2*k(p)? -25*p**2 Let b(z) = 9*z**3 - 4*z + 4. Let q(n) = n**3 + n - 1. Give -b(s) - 4*q(s). -13*s**3 Let o(r) = 6*r - r**2 + 3 - 7*r - 2. Let k(b) = 2*b - 5. Calculate k(a) + 2*o(a). -2*a**2 - 3 Let t(s) = 13*s**2 + 7*s - 3. Let i be 3/(-2)*(-1 - 1). Let l(h) = -i - h - 1 + 4*h + 6*h**2 + 3. Give -7*l(k) + 3*t(k). -3*k**2 - 2 Let f(l) = -2 + 2 + 13*l - 16*l. Let g(p) = -9*p. Give 8*f(i) - 3*g(i). 3*i Let l(h) = 9*h - 1. Let i(v) = -4*v. Let m(x) = 5*i(x) + 2*l(x). Let j(k) = 3*k + 3. What is 4*j(f) + 5*m(f)? 2*f + 2 Suppose -v = -0*v + 1. Let k(i) = i - 1. Let f(d) = -6*d + 3. Determine v*f(q) - 4*k(q). 2*q + 1 Let t(s) = 4*s**2 - 3*s - 3. Suppose -3*n + 6*n + 9 = i, -2*n = -i + 7. Let l(h) = 5*h**2 - 4*h - 4. Give i*t(x) - 2*l(x). 2*x**2 - x - 1 Let i(j) = 3*j**2 - 5*j - 5. Let p(s) = -s - 1. Give -i(c) + 5*p(c). -3*c**2 Let s(c) be the third derivative of -c**6/40 + 17*c**2. Let t(f) = 2*f**3. Give -5*s(h) - 7*t(h). h**3 Let d be (-2)/(-5) + 66/(-15). Let n(y) = 4*y + 9. Let g(q) = 2*q + 5. Give d*n(x) + 7*g(x). -2*x - 1 Let j(f) = 11*f - 6. Let l(b) = 1. Calculate j(o) + 5*l(o). 11*o - 1 Let p = 1 + 4. Let x(c) be the first derivative of -2*c**3 - 5*c + 1. Let z(t) = -5*t**2 - 4. Give p*z(h) - 4*x(h). -h**2 Let n(s) be the first derivative of s**3/3 + 5*s**2/2 + 2*s - 1. Let k(b) = 2*b + 1. Let r be (-3)/(-6)*(-9 + -1). What is r*k(a) + 2*n(a)? 2*a**2 - 1 Let w(m) = 18*m**2 + 5*m. Let a(t) = 9*t**2 + 2*t. Calculate -5*a(k) + 2*w(k). -9*k**2 Let h(z) = -29*z - 17. Let i(o) = 10*o + 6. Calculate 4*h(l) + 11*i(l). -6*l - 2 Let q(f) = -1. Let g(z) = -z - 2. Suppose 0*m + 12 = 3*m. Let x be 2/m - 9/6. Determine x*g(a) + 2*q(a). a Let a(h) be the first derivative of -2*h**3/3 + h**2 + 7*h + 1. Suppose -2*t + 33 = 45. Let j(n) = -2*n**2 + 2*n + 6. Calculate t*a(b) + 7*j(b). -2*b**2 + 2*b Let y(f) = 4*f + 5. Let n(w) = -4*w - 6. Calculate -3*n(k) - 2*y(k). 4*k + 8 Let m(t) = 2*t - 3. Suppose 91 = 10*d + 3*d. Let c(h) = -4*h + 7. Determine d*m(f) + 3*c(f). 2*f Let w(x) = 2*x**2 + 9*x - 6. Let s(v) = v**2 + 3*v - 2. Determine 8*s(i) - 3*w(i). 2*i**2 - 3*i + 2 Suppose 25*u - 6 = 27*u. Let a(h) = 4*h**2 - h - 4. Let y(c) = -c**2 + 1. Calculate u*y(z) - a(z). -z**2 + z + 1 Let s(a) = -9*a**3 + 2*a**2 + 3*a + 3. Let i(l) = -l**3 + l. What is 6*i(c) - s(c)? 3*c**3 - 2*c**2 + 3*c - 3 Let h(d) = 3*d**2 - 17. Let r(u) = -u - 2*u + 3*u + 6 - u**2. What is 6*h(i) + 17*r(i)? i**2 Let v(y) = y + 1. Let n(w) = -w. Suppose -11*r - 3 - 30 = 0. Calculate r*n(l) - v(l). 2*l - 1 Let z(r) = 7*r + 1. Let u(q) = -10*q - 1. Let y(o) = -o. Let s(k) = -u(k) + 4*y(k). What is -3*s(p) + 2*z(p)? -4*p - 1 Let v(p) = -p + 2. Let b(n) = 7*n - 13. Let a be 3 - (3 - (6 + 0)). Calculate a*b(o) + 39*v(o). 3*o Let y(l) = 6*l**2 - l - 4. Let t(g) = -5*g**2 + g + 3. Let x = -21 - -25. Determine x*t(b) + 3*y(b). -2*b**2 + b Let o(t) be the first derivative of -3*t**2 + 5 - 4 - 2. Let a(k) = -2*k. What is -16*a(w) + 5*o(w)? 2*w Let t(p) = 24*p + 21. Let b(a) = a + 1. Give 42*b(o) - 2*t(o). -6*o Let x(m) = -m**2 + 1. Let r(d) = -13*d + 7*d + 2*d**2 - 2 + 6*d. Determine 3*r(g) + 4*x(g). 2*g**2 - 2 Let j(t) = 3*t - 3. Suppose -2*f + 17 - 5 = -b, 3 = f - 2*b. Suppose -46 = -o - 49. Let v(w) = w - 1. Give f*v(u) + o*j(u). -2*u + 2 Let p(j) = 14*j**2 - 11*j + 9. Let u(y) = -7*y**2 + 6*y - 5. Give 3*p(q) + 5*u(q). 7*q**2 - 3*q + 2 Let l(h) = -15*h**2 - 14*h + 3. Let m(n) = 5*n**2 + 5*n - 1. What is 6*l(p) + 17*m(p)? -5*p**2 + p + 1 Let u(o) = 9*o - 9. Let v(b) = -9*b + 10. Let h(s) = 3*u(s) + 4*v(s). Let w(a) = 4*a - 6. What is -6*h(y) - 13*w(y)? 2*y Let d(f) = -2*f - 2. Let m(o) be the first derivative of -o**2/2 - o - 4. Determine d(a) - m(a). -a - 1 Let z(n) = -6*n**2 + n + 1. Let l(y) = y**3 - 10*y**2 - 22*y - 22. Let d be l(12). Let j(w) = 3*w**2 - 4*w**2 + 0*w**2. Calculate d*z(k) - 14*j(k). 2*k**2 + 2*k + 2 Let u(s) = s**2 + 2*s. Suppose -c + 5 + 0 = 0. Let b be c/((-45)/6)*27. Let f(l) = -5*l**2 - 9*l. Determine b*u(p) - 4*f(p). 2*p**2 Let i = 9 - -1. Let r(v) = -v + 12. Let m be r(i). Let u(o) = o**2 + 0 + 4 + 2. Let w(t) = 1. Calculate m*u(h) - 14*w(h). 2*h**2 - 2 Suppose 5*p + 5 = -0. Let a(m) = -4*m**2 + 4*m - 1. Let k(s) = -s**2 + s. Let g be 26/6 - 2/(-3). What is g*k(f) + p*a(f)? -f**2 + f + 1 Let y
{ "pile_set_name": "DM Mathematics" }
n*d - 654, -3*d + 3802 = 5*y. Is y a prime number? True Suppose 7*v - 3*v - 24 = 0. Is 12094/v - 36/(-27) a prime number? True Suppose 5*p - 2 = -f, -3*f - p + 8 = f. Suppose -f*k + 544 = -346. Suppose -5*i = -20 - k. Is i a prime number? False Suppose 11*s - 566 = 622. Suppose i = -3*i + o + 202, -2*i = 3*o - s. Is i a prime number? False Let x = 1 - -2. Let r = -159 + 164. Suppose -4*j - r*v + 456 = -216, x*j - 493 = -v. Is j a prime number? True Let f(c) = 2*c**3 + 19*c**2 - 22*c - 21. Let v be f(-14). Let m = 1014 - v. Is m a prime number? False Suppose 28*k - 13816 = 20*k. Is k composite? True Let w(g) = g**3 - 2*g. Suppose -8 = 2*s - 4*s. Let d = 7 - s. Is w(d) prime? False Suppose -4*x + 1377 = 3*w - 571, -4*x + 1948 = -2*w. Suppose -8*c + 266 = z - 3*c, 5*c + x = 2*z. Is z prime? True Suppose 0 = 5*c + c - 3*c. Suppose c = -3*j + l + 81 + 394, 2*j + 5*l - 294 = 0. Is j composite? False Let u(n) = 3*n - 6. Let r be u(6). Let t = -9 + r. Suppose t*s - 13 = 62. Is s prime? False Suppose -1 = -4*g - 5. Is 1 + g - -4 - 3*-585 prime? True Let l(v) = -9*v**3 - 4*v**2 - 2*v - 5. Let d(h) = h - 4. Let j be d(0). Is l(j) a composite number? True Suppose 62*h - 78*h + 125264 = 0. Is h a composite number? False Suppose 215*b - 204*b - 35255 = 0. Is b prime? False Let d(f) = 5*f**2 + 5*f + 17. Let h be d(7). Let g = h + 232. Is g a prime number? False Let r be (3/(-4))/((-282)/(-72) - 4). Let b(u) = 44*u - 34. Is b(r) a prime number? False Let z be (36/8)/(3/(-24)). Let c = 51 + z. Suppose 0 = -4*y + 4*x + 480, 3*x = -2*x + c. Is y a prime number? False Let i be 2/(9 - -3) - 155/30. Let p(y) = -170*y - 11. Is p(i) a prime number? True Let v(u) = -u - 11. Let l be v(-15). Suppose q - 6 = 4*q, -686 = -2*x - l*q. Is x a composite number? False Suppose 6 = 2*q - 34. Is (-8826)/(-7) + q/140 a prime number? False Suppose 6 = 4*k + v, -4*v + 6 = k - 3. Is (-37755)/(-36) - k/(-4) a prime number? True Let z(s) = 51*s - 32. Let m(c) = -c**2 - 8*c - 4. Let t be m(-5). Is z(t) a prime number? False Suppose -15*v + 102701 = 30866. Is v a prime number? True Let t = 7 - 0. Let w be -2 - -1 - (-2 - -2). Is (t/w)/(1/(-11)) a prime number? False Let c = -61 + 91. Is (-1187)/(-5) + (-12)/c a composite number? True Suppose 3*r - 4*t + 0*t + 11 = 0, -r - 12 = -3*t. Is (9 - r)/(2/83) a composite number? True Suppose -w + 3713 = -4*h, 5*w - 6*h - 18660 = -5*h. Is w composite? False Let j(z) = z**3 - 11*z**2 + 10*z + 11. Let x(m) = 6*m**3 - 54*m**2 + 50*m + 55. Let p(n) = -11*j(n) + 2*x(n). Is p(-9) a prime number? False Let u(l) = l**3 + 8*l**2 + 2*l + 6. Let f be u(-8). Let v(k) = -2*k - 16. Let j be v(f). Suppose j*g + 185 = 3*r - 89, 0 = -5*r - g + 472. Is r prime? False Suppose 31*s + 65811 = 1314677. Is s a composite number? True Suppose 8150 = 34*n - 5892. Is n a prime number? False Suppose -5*u - 1197 - 133 = 0. Is 0 - 1 - (u + 8) a prime number? True Let h be (3/(-9) - (-2)/(-3))*-5. Suppose -2*b + 9 = -h*b, -4*b - 1024 = -4*f. Is f a prime number? False Suppose -3*p + 2 = 2*u - 19, 0 = -3*u - p + 14. Let o(n) be the first derivative of n**4/4 - n**3 + n**2 + 3*n - 1. Is o(u) prime? False Suppose 2*p - 26634 = -4*t, 6*t + 5*p = 4*t + 13313. Is t prime? True Is (3 - 6 - (-28)/8)*1622 prime? True Suppose 3*r - 14*r = -14971. Is r composite? False Let v be ((-7)/4)/(6 - (-125)/(-20)). Suppose v*i - 4400 = 283. Is i composite? True Let f = 131355 + -56914. Is f prime? True Let v be 7/4 + 1/4. Suppose -d + v*g = -7 + 1, -3 = -d + g. Is (-371)/(-1) - (d + 0) prime? False Suppose -3*w - 2*w = 0. Is (w - -3)*28/12 composite? False Let b(o) = -2*o**3 + o**2 - o + 6197. Is b(0) a composite number? False Is 125 + 14/((-84)/18) a composite number? True Is (26 - 11223)*(0 - 1) a composite number? False Let y = 2 + 0. Suppose -v - 5 = 2*p - 4*p, -5*v - 4*p + 31 = 0. Suppose y*r + 359 = v*r. Is r prime? True Suppose -64891 = 8*c - 22931. Let p = -2658 - c. Is p composite? True Let s(r) = 10061*r**2 + 5*r - 3. Is s(1) composite? True Suppose -2*q + 4*q = -28. Let i(n) = -n**2 + n - 1. Let l(k) = -3*k**2 - 14*k - 5. Let g(j) = -2*i(j) + l(j). Is g(q) composite? True Suppose 2 + 4 = 2*u. Suppose u*y + 9 = 12. Suppose -n - y = -4, -g + 208 = -n. Is g a prime number? True Let c = 21 - 27. Let y be 150/(-20)*(-28)/c. Let w = 102 + y. Is w a prime number? True Let q(b) = 2*b**3 - 5*b**3 - 9*b**2 + 2*b**3 + 17 - 13*b + 23*b. Is q(-11) composite? False Let y(c) = -388*c - 26. Let n(m) = -m**2 - 16*m + 14. Let o be n(-17). Is y(o) prime? False Let u = 1643 - 807. Suppose -2*z + 528 = -4*b, b + 18 = z - 241. Suppose 0 = 3*i + z - u. Is i a prime number? False Suppose -46*g + 159966 = -28*g. Is g composite? False Let p(q) = 4*q - 28. Let s be p(7). Let l(f) = -2*f**2 + 2*f + 1198. Is l(s) a prime number? False Let s(q) = 52*q**2 + 3*q + 8. Let n be (-22)/(-55) - ((-14)/(-10) + 2). Is s(n) prime? True Suppose -14*u = -15*u + 5*n + 17517, 2*u - n = 35043. Is u a prime number? False Let w(r) = r**3 + 14*r**2 + 16*r - 4. Let k be w(-12). Suppose 3*u + 3*l - 153 - 105 = 0, -u = 3*l - k. Is u composite? False Let i(v) = 10 - 1 + v + 0*v. Let w be i(-7). Suppose 3*b - w*t = -t + 212, 4*b - 279 = 5*t. Is b composite? False Let o(s) be the first derivative of 3*s**3 - 4*s**2 + 2*s - 8. Is o(3) a composite number? False Let h(w) = 3*w - 3 + 6*w + 18*w. Suppose 17*g - 19*g = -16. Is h(g) a prime number? False Let s(r) = -4*r**3 - 10 - 3*r**3 - 4*r**2 + 5*r**3 + 4*r. Is s(-6) prime? False Let x(z) = -z**2 - 7*z - 7. Let o be x(-6). Let j be (10/(-4))/(o/(-94)). Let a = -122 - j. Is a prime? True Suppose 0 = 3*h - 2*b - 2654, 7*b - 3*b = -h + 894. Suppose -h - 831 = -l + 3*o, l - 2*o - 1720 = 0. Is l composite? True Let t = 48 + 1. Let s(y) = y**3 + 0*y**3 + 73 + t + y**2 - y - 4. Is s(0) composite? True Suppose 5*i - 129290 = 5*x, 7*i - 129299 = 2*i - 4*x. Is i prime? False Let r = 2 - 2. Suppose -m + 0*m + 2 = r. Suppose -m*y = -5*p - 136 - 2, 2*y = p + 122. Is y a composite number? False Suppose 6*a - 10*a = -4. Let x be 2 - a/(3 + -2). Is -1*(-505 - 3) + x a prime number? True Suppose -5*v + 9424 = -20611. Is v composite? False Suppose -2*v = b + 3*b - 22322, 0 = 5*b - 3*v - 27930. Is b composite? True Let s = 53 - 32. Let c be ((-272)/24)/(2/s). Is 34/c - (-3901)/7 composite? False Let v(l) = -6*l + 22*l + 17 - 14*l. Let d be v(-7). Suppose 0*x + 1419 = d*w + 3*x, 3*x - 12 = 0. Is w a prime number? False Suppose 65130 = 3*c - 3*t, 8*t - 21701 = -c + 12*t. Is c composite? False Let x = 49 - 38. Suppose -3*i + x*i - 3592 = 0. Is i a prime number? True Let o = 3509 - 910. Is o prime? False Let z = 25569 + -13716. Is z/7 + -3*(-4)/(-42) prime? True Suppose -2*g - 320663 = -21*g. Is g a prime number? False Let y(f) = f**3 + 7*f**2 - 9*f - 4. Let m = -2 + -6. Let p be y(m). Suppose p*h + 5*r = 3246, 4*r = -3*h + 1700 + 735. Is h prime? True Let y be 1 - -3 - (-312)/(-13). Let q = y + 23. Suppose q*w = 6*w + 5*o - 901, w - 291 = -4*o. Is w a composite number? False Suppose -135 - 17 = -38*i. Let l(r) = 4*r + 2. Let g be l(6). Suppose i*z + g = 150. Is z a composite number? False Let v(c) = -200*c + 37. Is v(-12) composite? False Suppose 30*x + 5*x = 4072285. Is x prime? True Let y(w) = w**2 + 2*w - 21. Let i = 59 - 84. Is y(i) a composite number? True Suppose 4*w + 3*i = 27797, -3 = -3*i + 6. Is w prime? True Suppose -4*y + 1 = -5*y. Let j be 1/y + (3 - -430). Let r = j + -305. Is r a prime number? True Let y(m) = 3*m**2 - 33*m - 55. Suppose -5*r = -4*q + 85 + 17, 4*r + q = -90. Is y(r) composite? True Let f(t) = -4*t**2 - 7*t + 4. Let o(k) = 4*k**2 + 6*k - 3. Let n(m) = 2*f(m) + 3*o(m). Is n(-8) prime? True Suppose -5 = -j + 3*b, 5*j + b = 3*j - 11. Let v = j - -3. Is v*(-267 - (1 - 3)) a composite number? True Let c(j) = 2081*j - 18. Is c(11) prime? False Let b(l) = -8*l**3 - 12*l**2 + 12*l + 1. Let g(j) = 4*j**3 + 7*j**2 - 6*j - 1. Let w(m) = 3*b(m) + 5*g(m). Let i = -5 - 0. Is w(i) a composite number? False Suppose -16442 - 6411 = -m. Is m a composite number? False Let y(q) = q**3 + 16*q**2 - 6*q + 11. Let z(j) = -j**2 - 3*j - 6. Let w be z(-4). Is y(w) a composite number? True Let a = -1687 - -3302. Suppose -2160 = -4*z + 4*u, 7*u + a = 3*z + 5*u. Is z a composite number? True Suppose 39*q - 15
{ "pile_set_name": "DM Mathematics" }
there in 1052.9055ms? 0.017548425 What is thirteen fifths of a meter in centimeters? 260 How many milligrams are there in 27/5 of a gram? 5400 What is 0.7972498 centuries in decades? 7.972498 What is 3/8 of a microgram in nanograms? 375 How many milligrams are there in 48/5 of a gram? 9600 How many kilometers are there in 6.565815 centimeters? 0.00006565815 How many minutes are there in seventy-three quarters of a day? 26280 How many years are there in 3/50 of a century? 6 What is 7/4 of a century in months? 2100 Convert 0.1861707ng to tonnes. 0.0000000000000001861707 How many micrometers are there in five quarters of a millimeter? 1250 What is 1/20 of a kilogram in milligrams? 50000 What is 1/4 of a century in years? 25 What is fifty-five halves of a century in months? 33000 What is 1.343631ns in minutes? 0.00000000002239385 What is twenty-five halves of a centimeter in millimeters? 125 What is 21216.48 meters in centimeters? 2121648 Convert 51.76632ml to litres. 0.05176632 How many nanoseconds are there in 1/10 of a millisecond? 100000 How many millilitres are there in thirteen eighths of a litre? 1625 How many milligrams are there in 774.924 micrograms? 0.774924 How many nanometers are there in 27/2 of a micrometer? 13500 What is 3/8 of a meter in millimeters? 375 What is 32/5 of a centimeter in micrometers? 64000 How many milliseconds are there in 11/4 of a second? 2750 What is five quarters of a kilometer in meters? 1250 What is 1/4 of a micrometer in nanometers? 250 How many kilograms are there in 449712.1 milligrams? 0.4497121 How many nanometers are there in fifteen quarters of a micrometer? 3750 What is twenty-five quarters of a kilogram in grams? 6250 How many tonnes are there in 6202.839 kilograms? 6.202839 How many minutes are there in one fifth of a hour? 12 What is 23/3 of a year in months? 92 How many grams are there in 3/10 of a kilogram? 300 How many milligrams are there in 443.0419ug? 0.4430419 How many months are there in 6/25 of a century? 288 What is 0.71142 millilitres in litres? 0.00071142 What is 61/2 of a century in years? 3050 How many millimeters are there in 73833.58km? 73833580000 Convert 79805.24 years to centuries. 798.0524 How many milligrams are there in seven quarters of a gram? 1750 What is six fifths of a litre in millilitres? 1200 What is 0.7340562 centuries in decades? 7.340562 What is 0.898209 seconds in milliseconds? 898.209 Convert 186.27771 months to years. 15.5231425 What is one fifth of a tonne in kilograms? 200 What is 568.3217 kilometers in centimeters? 56832170 What is 11/2 of a litre in millilitres? 5500 Convert 669495.4us to seconds. 0.6694954 What is 3/5 of a century in decades? 6 How many days are there in 1473.50907ms? 0.000017054503125 How many millilitres are there in 6248.739l? 6248739 What is 136.28229 months in centuries? 0.113568575 How many litres are there in 858697.5ml? 858.6975 How many millilitres are there in fourty-nine quarters of a litre? 12250 What is 25.14264ml in litres? 0.02514264 How many milliseconds are there in 71.68627 minutes? 4301176.2 What is four fifteenths of a hour in seconds? 960 How many years are there in 6/5 of a decade? 12 How many millilitres are there in 41/2 of a litre? 20500 What is 3/10 of a meter in centimeters? 30 What is 5/6 of a week in hours? 140 How many months are there in 44/5 of a century? 10560 What is thirty-one sixths of a minute in seconds? 310 Convert 99636.42 months to centuries. 83.03035 How many months are there in three fifths of a decade? 72 How many nanoseconds are there in 34/5 of a microsecond? 6800 How many milligrams are there in 5/4 of a gram? 1250 What is 41332.2l in millilitres? 41332200 Convert 13.034583 months to centuries. 0.0108621525 What is twenty-nine fifths of a hour in seconds? 20880 Convert 987.6857l to millilitres. 987685.7 What is eighty-five quarters of a micrometer in nanometers? 21250 What is 343.1976 kilograms in tonnes? 0.3431976 How many decades are there in fifty-seven halves of a century? 285 What is 6/5 of a litre in millilitres? 1200 How many meters are there in 264768.9 micrometers? 0.2647689 Convert 89.61604 centuries to months. 107539.248 Convert 447.0673ug to nanograms. 447067.3 Convert 9414.52ml to litres. 9.41452 How many milligrams are there in 408.0592kg? 408059200 What is 1/5 of a micrometer in nanometers? 200 How many millimeters are there in 1/10 of a meter? 100 How many milligrams are there in fifty-seven fifths of a gram? 11400 How many grams are there in 1/20 of a kilogram? 50 How many litres are there in 5.974202 millilitres? 0.005974202 How many decades are there in one fifth of a century? 2 Convert 1531.842mg to micrograms. 1531842 How many millilitres are there in 588.344l? 588344 What is 6.710448 millennia in months? 80525.376 What is 2/45 of a day in seconds? 3840 What is 38643.5nm in centimeters? 0.00386435 How many months are there in 6/5 of a decade? 144 How many micrograms are there in 955207.6 nanograms? 955.2076 Convert 59353.847 days to weeks. 8479.121 Convert 183.91992 months to centuries. 0.1532666 How many months are there in 17/2 of a decade? 1020 What is 2/21 of a week in seconds? 57600 What is 630035.2 tonnes in kilograms? 630035200 What is 37/5 of a century in decades? 74 What is 6/5 of a micrometer in nanometers? 1200 Convert 24.39967l to millilitres. 24399.67 How many nanograms are there in 26178.43mg? 26178430000 Convert 6.572713 kilometers to centimeters. 657271.3 Convert 3925.255ug to tonnes. 0.000000003925255 Convert 203.313 grams to milligrams. 203313 Convert 0.1534133 centuries to months. 184.09596 What is fifteen quarters of a litre in millilitres? 3750 Convert 2383135.2 hours to days. 99297.3 How many milligrams are there in 11/2 of a gram? 5500 How many milliseconds are there in 2.469112ns? 0.000002469112 How many months are there in 3/5 of a decade? 72 What is 19/4 of a millennium in decades? 475 How many micrometers are there in 33.88703 millimeters? 33887.03 What is 11/2 of a litre in millilitres? 5500 Convert 10558.8 centuries to years. 1055880 What is seventeen halves of a litre in millilitres? 8500 What is 3/5 of a day in minutes? 864 How many micrometers are there in thirty-four fifths of a centimeter? 68000 What is 44/5 of a gram in milligrams? 8800 How many months are there in 13/8 of a century? 1950 How many minutes are there in 21/8 of a day? 3780 How many meters are there in 12/25 of a kilometer? 480 What is 3/8 of a milligram in micrograms? 375 What is 0.559479 minutes in seconds? 33.56874 How many centimeters are there in 57/5 of a meter? 1140 What is 7.45835 millennia in months? 89500.2 Convert 18993.3mg to nanograms. 18993300000 What is 3/32 of a week in seconds? 56700 How many nanograms are there in 13/4 of a microgram? 3250 What is seven halves of a tonne in kilograms? 3500 What is 1/6 of a year in months? 2 Convert 79.5062 centuries to decades. 795.062 How many micrograms are there in twenty-nine fifths of a milligram? 5800 How many centimeters are there in 19/4 of a meter? 475 How many millilitres are there in 13/5 of a litre? 2600 How many micrometers are there in 3/10 of a centimeter? 3000 How many kilometers are there in 8545.4 millimeters? 0.0085454 How many months are there in 3/10 of a millennium? 3600 How many minutes are there in 3/5 of a hour? 36 Convert 83.8594 millimeters to nanometers. 83859400 What is fourty-six ninths of a week in minutes? 51520 Convert 752.251 kilograms to grams. 752251 What is 11/8 of a decade in months? 165 Convert 674.1206km to centimeters. 67412060 What is eighteen fifths of a decade in months? 432 How many kilometers are there in 4.989273 micrometers? 0.000000004989273 How many decades are there in 115942.98 months? 966.1915 How many kilometers are there in 5614.637 millimeters? 0.005614637 How many seconds are there in 0.8820293 hours? 3175.30548 What is 884347.9 years in decades? 88434.79 How many microseconds are there in one twentieth of a millisecond? 50 What is 44/5 of a litre in millilitres? 8800 What is 0.8223713 nanograms in grams? 0.0000000008223713 What is eighty-seven fifths of a kilogram in grams? 17400 How many litres are there in 0.8316124 millilitres? 0.0008316124 What is 1/6 of a wee
{ "pile_set_name": "DM Mathematics" }
is the tens digit of r? 4 Let h be 5804/36 - 8/36. Let y be ((-138)/h)/(1 + 9/(-7)). Suppose 54 = r - 2*n, y*r - 194 = -2*n - 0*n. What is the tens digit of r? 6 Let i be ((-4)/(-5))/((-128)/(-320)). Suppose 5*d - 3221 = i*l, 2*l = d + 4*l - 649. What is the tens digit of d? 4 Suppose -8 = -s, 300*s - 296*s - 15708 = -2*i. What is the tens digit of i? 3 Suppose -5*j = -6*j - 6*j + 36379. What is the thousands digit of j? 5 Let x = 276 - 278. What is the tens digit of 47101/67 - (4/x)/2? 0 Let f(c) = -c**2. Let l(m) = -5*m + 362. Let j(x) = f(x) + l(x). What is the tens digit of j(0)? 6 Let i(z) = 13*z + 5. Let f be i(4). Suppose -15 = -v + 3*o, -3*v = 3*o + 2*o - 87. What is the tens digit of -3 - (f - 0)*v/(-36)? 3 Suppose -1402 = -o + 11077. What is the hundreds digit of o? 4 Let y(v) be the third derivative of -v**5/60 + 3*v**4/4 + 82*v**3 - 205*v**2. What is the units digit of y(0)? 2 Suppose 7*r = -3*r + 2820. What is the tens digit of (-2)/(-13) - r/(-26)? 1 What is the units digit of (-16)/(-28) - (-6420)/84? 7 Suppose -90*r = -46*r - 23*r - 252693. What is the tens digit of r? 3 Let o(l) = -28 + 21*l - 39*l + 22*l. Let r be o(8). Suppose -r*u + 490 = -2*c, u + 3*c = -u + 225. What is the hundreds digit of u? 1 Suppose m = -6*f + 3*f + 12, 4*f - 6 = 2*m. What is the tens digit of ((-9)/m)/((-2)/22)? 3 What is the thousands digit of 96/64 + 55990/4? 3 Suppose -6*q + 15 = -3*q. Let w(k) = -12*k**2 + 6*k - 2. Let f be w(q). Let p = f - -401. What is the tens digit of p? 2 Let j be (-7)/(-9) - 2/(-9) - -1. Suppose 0*h = -j*h + 200. What is the units digit of h? 0 Let a = -2699 - -2482. Suppose -r + 3*l - 131 = 0, -r - r + 5*l - 267 = 0. Let v = r - a. What is the tens digit of v? 7 Let r(z) = -z**3 - 7*z**2 + 5*z + 1. Let s be r(-8). Suppose -3*u = 2*u - s. Suppose -u*j + 0*j + 195 = 0. What is the units digit of j? 9 What is the units digit of (-7)/1 - (-50017)/33*(-27)/(-3)? 4 What is the hundreds digit of 43 - 21 - 39 - -14599? 5 Let h = 14671 - 9034. What is the tens digit of h? 3 Let s(d) = 4*d**2 - 32*d + 20589. What is the thousands digit of s(0)? 0 Let f(q) = 3*q - 8. Let h be f(20). What is the units digit of (1/5)/(h/166660)? 1 Suppose -g + 0*a = -4*a + 18, g - 18 = -5*a. Let v be g*(63/2 + -1). Let n = v - -134. What is the tens digit of n? 7 Let p = -15 + -12. Let v = p + 32. What is the tens digit of v/(15/342)*4/6? 7 Let s = -2172 + 18274. What is the ten thousands digit of s? 1 Let z = 6088 - 5030. What is the hundreds digit of z? 0 Suppose -u = -5204 - 2315. Suppose u = 3*g + 2452. What is the thousands digit of g? 1 What is the hundreds digit of (-79)/(-237) - (-3 + 120426/(-9))? 3 Suppose 0 = -4*d - d - k - 413, d + 4*k = -94. Let o = d - -143. Suppose -356 = -4*t - 3*f - o, 75 = t + 2*f. What is the tens digit of t? 7 Suppose -5*x + 3*r = -197054, 4*x - 157639 = 17*r - 16*r. What is the ten thousands digit of x? 3 Let y = 53515 + -29905. What is the thousands digit of y? 3 Suppose 21 = -4*i + 169. Suppose 8*b - i = 51. Suppose -140 = -b*v + 9*v. What is the tens digit of v? 7 Let t be (-2 - -17)*201/9. Suppose 5*y + 93 - 103 = 0. Suppose -2*s = 4*k - 7*s - t, -5*k = -y*s - 406. What is the units digit of k? 0 Suppose -73965 = -5*b + 4*i, 2*i - 40678 = -2*b - 11110. What is the hundreds digit of b? 7 Suppose -o - 18 = -2*h, h + 2*o - 2 + 3 = 0. Suppose -h*i = -3*i. Suppose i = 30*d - 32*d + 232. What is the units digit of d? 6 Suppose 3*t - 4582 = -5*x, 2*t - 1528 = t - x. Suppose 9*y = 8*y + t. What is the tens digit of y? 2 Suppose b + 2*k = 39626, -2*k + 33767 - 192251 = -4*b. What is the thousands digit of b? 9 Suppose -5*q + 1590 = -5*k, 3*k = -2*q + 8*k + 636. Let i = 323 + q. What is the tens digit of i? 4 Let y be ((-112)/24 + 5)/((-1)/9). Let m be 2*(2 + y) - -4. What is the tens digit of m/4*-2 + 2483/13? 9 Let c be 85*-8*(-4)/32. Suppose 91*l - 1692 = c*l. What is the units digit of l? 2 What is the thousands digit of ((-156)/117)/(16/(-202380))? 6 Let d(m) = m**3 - 86*m**2 - 324*m + 202. What is the ten thousands digit of d(91)? 1 Let z(w) = 3*w**3 + 39*w - 4*w**3 - 37 + 31*w**2 + 75. What is the hundreds digit of z(32)? 2 Let a = 2755 + 10358. What is the ten thousands digit of a? 1 Suppose -3*o + 59*q = 55*q - 270734, -2*o + 180488 = -4*q. What is the units digit of o? 6 Let y(f) = f**2 - 15*f + 53. Let k be y(5). Suppose 3*p + 1143 = k*i, 3*i - 354 = 4*p + 794. What is the tens digit of i? 7 What is the hundreds digit of (-319578)/(-102) - (-4)/(-34)? 1 Let r(j) = 102*j**2 - 512*j + 90. What is the hundreds digit of r(-23)? 8 Suppose 589626 = 14*i + 10*i + 3*i. What is the thousands digit of i? 1 Let l = 218 - -175. Suppose -1209 - l = -9*g. What is the units digit of g? 8 Let d(a) = -10*a + 381. Suppose 0 = -7*i + 8*i - 2, 0 = m + 5*i - 10. What is the hundreds digit of d(m)? 3 Suppose -5*a - 2*x = -10*a + 413669, 0 = -a + x + 82729. What is the units digit of a? 7 Let t(v) = -v**3 + 3*v**2 + 3*v - 4. Let i be t(3). Let r be (-6 - (-320)/45)*9. Suppose r*g - 5*g - i*l = 235, 2*l = -3*g + 161. What is the units digit of g? 1 What is the tens digit of 10508 - (-20 + 34)/2? 0 Let o = -1177 + 776. Let g = 683 + o. Suppose -12*k = -g - 834. What is the units digit of k? 3 Suppose -242 + 144 = -7*x. What is the tens digit of ((-24)/x)/((-14)/245)? 3 Let s = 11160 - 355. What is the hundreds digit of s? 8 Suppose 4*c - 54 = -3*x - 58, 0 = -5*c - 5*x - 10. Suppose -c*u = 5*p - 1493, 5*u + 1181 + 319 = 5*p. What is the units digit of p? 9 Let i(u) = 105*u**2 - 9*u + 105. Let w be i(25). Suppose -67*q = -12*q - w. What is the tens digit of q? 9 Let i(v) = 8*v**2 + 58*v + 18. Let w be i(-7). Suppose -2248 = -w*k + 4*f, -5*f = -14 - 6. What is the tens digit of k? 6 Suppose v = -5*g - 8 - 333, 0 = v + 4*g + 338. Let p = 162 - v. What is the tens digit of p? 8 Let w = 5878 - 3526. What is the tens digit of w? 5 Suppose 2*y = a, -a - 3*a = 4*y - 60. What is the tens digit of ((-817)/57)/(a/6 + -2)? 4 Let q(y) = 3*y**2 - 2*y + 0 - y**2 - 94*y**3 - 6. Let t be q(-2). Suppose 1000 = 4*z + l, 4*l = -4*z + t + 242. What is the units digit of z? 0 Let q = -4589 - -8608. What is the units digit of q? 9 Let r be 3*(10326/18 + 2). Suppose 3*w - 1034 = 4*l, 0 = -5*w - 3*l + 6*l + r. What is the units digit of w? 6 Suppose -4*p + 2*p + 11902 = i, 23788 = 2*i - 4*p. What is the ten thousands digit of i? 1 Let m = -39172 + 62194. What is the thousands digit of m? 3 What is the tens digit of (3 + -1 - 7)*(-52052)/385? 7 Let i(y) = 21*y**3 + 55*y**2 + 5*y - 93. What is the units digit of i(13)? 4 Suppose -3*o = 2*g - 289, -g + 4*o + 55 + 73 = 0. Let t = -59 + g. What is the units digit of t? 1 Let q = 846 + -396. Suppose q = m + 3*a, 206 = 4*m + 3*a - 1621. What is the hundreds digit of m? 4 Suppose 0 = -3*o - 0 + 9, o = -2*p + 3. Suppose -3*w + 4*v = -1115, -v + 766 = 2*w + 2*v. Suppose -4*q + 71 + w = p. What is the units digit of q? 2 What is the hundreds digit of (23 - (-391)/(-4))*-268? 0 Let k be (38/8)/(5/20). Let l = -13 + k. Suppose 4*m + 832 = 4*f, 3*f = l*f - 4*m - 626. What is the tens digit of f? 0 What is the thousands digit of (2 - 8 - -8) + (6/3 - -24378)? 4 Let n(o) = -o + 184. Let u be n(0). Let c = u + 91. What is the units digit of c? 5 Let d(t) = -359*t**2 - 26*t + 21. Let m(j) = -2*j**2 - j. Let l(h) = -d(h) + 5*m(h). What is the tens digit of l(1)? 4 Let h(o) = 30*o**2 - 22*o + 4. Let t be h(2). What is the tens digit of t/12*(-2652)/(-65)? 7 What is the thousands digit of 5987 + 364/(-35) + 2/5? 5 Let j be (5/(-15) + -1)*3. Let o(n) = 5*n**2 + 7*n + 16. Let v be o(j). Let m = -57 + v. What is the units digit of m? 1 Suppose -1273*m + 768291 = -1202*m. What is the hundreds digit of m? 8 Let u(s) = -19*s + 20. Let q(i) = 5*i - 36. Suppose 3*v - 4 - 13 = -p, -3*v = -4*p - 22. Let j be q(v). What is the tens digit of u(j)? 3 Let y = -15 - -34. Suppose -5*f = -y + 49. Let l(n) = -4*n - 11. What is the tens digit of l(f)? 1 Let i = 229 + -330. Let w = -11 - i. What is the units digit of w? 0 Suppose -5*q - 1684 = 4936. Let o = 2498 + q. What is the units digit of o? 4 Suppose 78*i = 77*i - 9. What is the tens digit of ((-5416)/18)/2*i? 5 Let t(v) = 5*v**2 + 2*v - 10. Suppose c - 48 = -5*y, -3*c = -7*c - 5*y + 132
{ "pile_set_name": "DM Mathematics" }
/(2/(-2)))/(-1). What is the remainder when (-680)/b + k/2 is divided by 22? 20 Suppose d + 2 = -3*s - 4, 5*d + 4*s - 3 = 0. Suppose -k = -x + d + 6, -x = k - 19. Calculate the remainder when 39 is divided by x. 11 Suppose -3*v = -25 - 32. What is the remainder when 73 is divided by v? 16 Let j(i) = 14*i**2 - 2*i + 1. Suppose 0*s = 2*s + 6. What is the remainder when 3/(s/(-37)) - 0 is divided by j(1)? 11 Let t(l) = 48*l**2 - 2*l + 1. Suppose -2*g = -10, -5*h - 2*g = 1 + 74. Let s = h - -29. What is the remainder when t(1) is divided by s? 11 Let a = -29 + 41. Let o(f) = -f**2 - f + 4. Let n be o(0). Suppose -3*g + 62 = -n. Calculate the remainder when g is divided by a. 10 Let g(b) = b**2 + 9*b - 5. Let o be g(-10). Suppose 3*r = o*r - 10, -2*r + 9 = p. What is the remainder when ((-200)/(-15))/(p/(-3)) is divided by 14? 12 Let j = -12 + 12. Let m = j + 2. Suppose 10 = -5*v, c - 5*v - 6 = 2*c. What is the remainder when c is divided by m? 0 Let l(x) = -6 + 2 + x - 3*x + x**2 - x. Calculate the remainder when 28 is divided by l(-2). 4 Suppose -3*t = -5*t - 10. Let o(i) be the second derivative of -i**3/3 - 2*i**2 + i. Calculate the remainder when o(t) is divided by 3. 0 Suppose 1 - 22 = -2*b - 3*w, -2*w + 19 = 3*b. Suppose -b*y + 14 = -58. Suppose 0 = -4*c + 23 + 13. Calculate the remainder when y is divided by c. 6 Suppose 3*l - 2*r = 59, -2*r - 76 = -4*l + 2*r. Let s = 80 + -36. Suppose -5*f + f = -s. What is the remainder when l is divided by f? 10 Suppose 4 = -4*j, 0*q - 5*j + 5 = q. Suppose 3*n = 5*t + 10, -28 = -5*n - 2*t - t. Let c(w) = -w**2 + 7*w - 6. What is the remainder when q is divided by c(n)? 2 Let s = -12 + 17. Calculate the remainder when 31 is divided by (4 - (-3)/(-3)) + s. 7 Let w = 42 - 35. What is the remainder when 12 is divided by w? 5 Calculate the remainder when 38 is divided by -6*-10*2/12. 8 Suppose 4*i - 5*w - 62 = i, -2*w - 106 = -4*i. Let y(n) = -2*n**2 + n - 1. Let l be y(1). What is the remainder when i is divided by (-3)/l*(-40)/(-6)? 9 Suppose 3*r - 121 = -11*g + 6*g, -2 = -g. Let c = 90 - r. Let n = 6 - -12. Calculate the remainder when c is divided by n. 17 Let t be (168/32)/((-2)/16). Let d = 80 + t. What is the remainder when d is divided by 10? 8 Let l(n) = n**3 + 5*n**2 - n. Let v be l(-5). Suppose -2 + 27 = -5*s, 0 = v*d - 5*s - 35. What is the remainder when 2 is divided by d? 0 Calculate the remainder when 27 is divided by 28/2 + 2 + -1. 12 Suppose 2*p = -16 + 104. Let n = -3 - -8. Let y(d) = 2*d + 5. What is the remainder when p is divided by y(n)? 14 Suppose -2*a = -5*g - 55, 2*g - g + 67 = 2*a. Suppose -2*o + 4*l = -8 - 8, 4*l + 40 = 4*o. What is the remainder when a is divided by o? 11 Suppose -5*m + 10 = -0*m. What is the remainder when 22 is divided by m/(-1) - 0 - -10? 6 Suppose -4*j - 4 = -5*j. Suppose 4*b = j*i, -i - i - 5 = -3*b. Let m = 17 - 13. What is the remainder when b is divided by m? 1 Let v be 78*(-1)/6*3. Let d = -7 + -13. Let k = d - v. What is the remainder when k is divided by 7? 5 Let s = 57 - 11. Suppose 48 = -0*n + 4*n. What is the remainder when s is divided by n? 10 Suppose -4*q = -3*v + 34, 0*v - 16 = -4*v - 2*q. What is the remainder when 9 is divided by v? 3 Let c(r) = r**2 - r + 1. Let n(t) = t**2 + 9*t + 1. Let v(i) = -2*c(i) + n(i). What is the remainder when v(9) is divided by 5? 2 Suppose -2*v = 16 + 8. Let o = 40 - v. What is the remainder when o is divided by 18? 16 What is the remainder when 97 is divided by 1*75/6*2? 22 Let a be 2*((-53)/(-2) + -2). Suppose 17 = q - a. Calculate the remainder when q is divided by 17. 15 Let t = 56 + -36. Suppose 4*x - 17 - 11 = 0. Calculate the remainder when t is divided by x. 6 Let p = -17 + 40. Let w = p - 10. Calculate the remainder when 24 is divided by w. 11 Let r be 1*(-2 - -5 - -1). Suppose -r*j + 36 = -0*j. Suppose 0 = 5*n + 3*d - 105, 38 + 20 = 2*n - 2*d. What is the remainder when n is divided by j? 6 Let a = -25 + 61. Let f = -26 + a. What is the remainder when 38 is divided by f? 8 Let s(c) = c**3 - 2*c**2 - 6*c. Let k be s(5). Suppose 0 = -0*f - 3*f + k. Suppose 0*u + 4*u = 112. Calculate the remainder when u is divided by f. 13 Suppose -3*j = -2*j - 58. Let q = -11 - -23. Calculate the remainder when j is divided by q. 10 What is the remainder when (-84)/140 + (-1226)/(-10) is divided by 25? 22 Let j be (-174)/(-4) - 3/2. Suppose -3*o - l + 10 + j = 0, 37 = 3*o + 4*l. What is the remainder when o is divided by 1/(-2)*2 + 8? 5 Let m = 11 - 8. Suppose 0 = 4*f - f - x - 19, -5*x = -f - m. What is the remainder when -1*(-26)/(-4)*-2 is divided by f? 6 Let z be (-6)/9 - (-33)/9. Suppose -2*m - g + 31 = m, -4*m - z*g = -43. What is the remainder when 39 is divided by m? 9 Let d(a) = 2*a + 19. Let u(t) = t + 13. Let p(o) = -5*d(o) + 8*u(o). Let j be -1*(3 + 4) - 1. What is the remainder when p(j) is divided by 14? 11 Calculate the remainder when 383/7 + -1*4/(-14) is divided by 15. 10 Suppose -217 = -11*s + 4*s. What is the remainder when s is divided by 8? 7 Suppose 0*u + 4*u + 144 = 0. Let n = -7 - u. What is the remainder when n is divided by (-1)/((-2)/(-3))*-10? 14 Suppose 3*y = 6*y - 189. What is the remainder when y is divided by 22? 19 Let h = -9 - -14. What is the remainder when 7 is divided by h? 2 Let z = -3 - -6. Let q be 74/6 + (-2)/6. Suppose -z*t = t - q. What is the remainder when 6 is divided by t? 0 Suppose z - 7 = 4*j, 0 = 4*z - 5*z + 5*j + 4. Suppose -z - 2 = -g - 5*l, 5*g = -4*l + 189. Calculate the remainder when g is divided by 14. 13 Suppose -4*t + 175 = 5*g, -2*g = 6*t - 2*t - 190. Calculate the remainder when t is divided by 26. 24 Suppose -f + 2*f - 25 = i, 5*i = 3*f - 69. Let w(t) = t**2 + 4*t + 6. What is the remainder when (-9)/(-21) + 464/f is divided by w(-4)? 5 Let b(t) = -12*t - 15. What is the remainder when 62 is divided by b(-3)? 20 Let b be 8/(-28) + (-108)/14. Let r = 5 + b. What is the remainder when 19 is divided by ((-10)/(-2))/(r/(-6))? 9 Suppose -4*q = -2*q - 6. Suppose k - 5*k + 2*p + 206 = 0, -4*k + 201 = q*p. Calculate the remainder when 6 is divided by 1/(-4) + k/12. 2 Let p = 30 + -15. Calculate the remainder when 57 is divided by p. 12 Let j(g) = -g**2 - 6*g + 1. Let p be j(-5). Calculate the remainder when 31 is divided by (-2)/3*(-99)/p. 9 Let p = -20 + 41. Suppose -4*a = -43 - 205. What is the remainder when a is divided by p? 20 What is the remainder when 187 is divided by 2/(2 + (-10)/4) + 51? 46 Let h(l) = 20*l - 39. Suppose 6*r = r - 85. Let u(w) = -7*w + 13. Let f(d) = r*u(d) - 6*h(d). Calculate the remainder when 20 is divided by f(6). 6 Let y(j) = j**3 - 8*j**2 + 8*j - 2. Calculate the remainder when 12 is divided by y(7). 2 Let u(c) = -c**3 + 2*c**2 - c. Suppose -3*z + 40 = -9*l + 4*l, -5*l = 4*z + 5. Let a = z - 7. What is the remainder when 52 is divided by u(a)? 16 Let r(a) = a**2 - a - 7. Let j be r(0). Let z = j + 13. What is the remainder when 41 is divided by (-2)/(-1) + z*2? 13 Let s = -54 + 70. What is the remainder when 111 is divided by s? 15 Suppose t + 59 = 2*t - 3*c, -124 = -2*t + 3*c. Calculate the remainder when t is divided by 68*7/42*6/4. 14 Suppose 3*j + 4*r = 33 + 98, -5*j = 2*r - 209. Calculate the remainder when j is divided by 7. 6 Let h(l) = -l**2 - 2*l + 8. Let x be h(-7). What is the remainder when (-4)/18 + (-330)/x is divided by 7? 5 Suppose 0 = -3*z + 3*p - p + 35, -2*z + 20 = -3*p. Let x(a) = a - 2. Calculate the remainder when z is divided by x(10). 5 What is the remainder when 14 is divided by (-1 - 18/3)*(-1 + 0)? 0 Let s(n) = -n - 1. Let z be s(-1). Suppose z*q - 3*q + 12 = 0. Suppose 0 = -2*v - 4*f, 7*f = -q*v + 2*f + 6. Calculate the remainder when v is divided by 2. 0 Let f = -64 + 112. What is the remainder when f is divided by 10? 8 Let p = 143 + -131. Let a = -43 - -88. What is the remainder when a is divided by p? 9 Let f be 0 + 0 - 0/5. Let a = 5 + f. Calculate the remainder when a is divided by 4. 1 Suppose -a = 2*h + 2*a - 87, h + a = 44. Suppose -2*n = -r + 24, -4*r + 6*r = 3*n + h. What is the remainder when 52 is divided by r? 16 Let b(o) = o**2 - 3. Let a(s) = s**3 - s**2 - 9*s + 12. Calculate the remainder when a(4) is divided by b(4). 11 Suppose 0 = -4*s - v + 43, -4*s + 31 = -v - 22. Calculate the remain
{ "pile_set_name": "DM Mathematics" }
ose -d*f = 13 - j. Let i(o) = -o**3 - 3*o**2 - 2*o + 2. Determine i(f). 8 Let v(u) = -u**2 - 49*u - 7. Let t(o) = 5*o - 1. Let y(p) = -6*t(p) - v(p). Give y(-18). -5 Suppose 17*h = 22*h - 25. Let k(n) = 5 + 3*n - 5 - 1 + 2. Give k(h). 16 Let x = -21 + 19. Let d be (x - (1 - -1))*-105. Let z be (-4)/26 - d/(-195). Let y(j) = -9*j + 3. Give y(z). -15 Let m = 18 - 5. Let l(h) = h - 13. Let p be l(m). Let z(o) = -o**2 + 9. What is z(p)? 9 Let i(q) be the third derivative of -q**6/120 - q**5/30 + q**4/8 - q**2. Let m be (4/12)/(5/15). Let v be ((-42)/(-28))/(m/(-2)). Give i(v). 0 Let t(g) = 3*g**2 - 2*g + 1. Suppose -z + 2*z - 4 = 3*p, 5 = -p. Let y = z + 13. Give t(y). 9 Let v(a) = 61*a - 1. Let s(n) = -71*n + 2. Let m(h) = 6*s(h) + 7*v(h). What is m(-8)? -3 Let d(w) be the third derivative of w**4/24 + w**3/2 - 6*w**2 - 3*w. What is d(0)? 3 Let m(z) = -z**2 - z + 1. Let g(c) = -7*c + 1. Let a(i) = g(i) + m(i). Let t be a(-8). Let y(f) = -4 + 1 - 6*f + f**t + 2*f. What is y(4)? -3 Let i(n) = n**3 + 8*n**2 - 9*n + 12. Let f(b) = -b**3 + 22*b**2 - 42*b + 43. Let u be f(20). Suppose -u*m = -5*a - 45, 2*a + 8*m - 7*m + 18 = 0. Give i(a). 12 Let o(i) = -i**3 - 4*i**2 + 2*i + 5. Let a(v) = 0*v**2 + 0*v**2 - v + 0*v**2 + v**3 - 5*v**2 + 1. Let r be a(5). Determine o(r). -3 Let w(a) = a + 2 + 3 - 1. Suppose -3*q - 30 = 4*y, -1 = -y + 4*q + 1. Let g be w(y). Let d(m) = 2*m - 1. Calculate d(g). -5 Suppose -2*k = 2*k - 8. Suppose -3*n = -2*m + 30, -m + n - k*n + 5 = 0. Let r(b) = b**2 + 3*b**2 + 2*b**3 - m*b**2 - b**3 - 4. What is r(5)? -4 Let v(m) be the second derivative of -2*m**3/3 + 7*m**2/2 - 3*m. Suppose 4*q - 15 = -3. Suppose f = -3*f + 8, 13 = q*s - f. Determine v(s). -13 Let s = -18 - -17. Let o = s + 8. Let i(m) = -9*m + 14*m - o*m + 3. Give i(-5). 13 Let y = 72 + -34. Let n(d) = -4 + 39*d + 2 + 4 - y*d - d**2. Determine n(-2). -4 Let p = -24 + 33. Suppose -p*o = -5 - 22. Let f(v) = -v**2 + 2*v**3 + 2*v**3 - 2 - 3*v**3 - 3*v. Calculate f(o). 7 Suppose -139*i = -124*i. Let b(c) = 2*c**2 + 1. Determine b(i). 1 Let k(t) = 5*t - 14. Suppose -16*z + 28 = -23*z. Let w(m) = -6*m + 15. Let b(c) = z*w(c) - 5*k(c). Determine b(7). 3 Let n be (-1)/(-4) + (-15)/(-20). Suppose -2*x - g + 1 = 2*x, -g + n = -x. Let t(b) = -b**2 + b - 14. Determine t(x). -14 Let f(o) be the third derivative of o**5/60 - o**4/3 - 13*o**3/6 - 81*o**2. Suppose -2*c + 5*c - 3*p = 39, -3*c = 2*p - 19. Calculate f(c). -4 Suppose -7*j + 4*j + 48 = 0. Suppose -3*k = -12*k + 90. Let f(q) = j*q**2 + k*q**2 - 1 - 33*q**2. Give f(-1). -8 Let r be 6/4 - (-63)/126. Let h(f) be the second derivative of 5*f + 3*f**r - 1/12*f**4 - 5/6*f**3 + 0. Give h(-6). 0 Let k(w) = 33*w**2 + 12*w - 140*w**2 + 30*w**2 + 33*w**2 - w**3 + 33*w**2 - 2. Calculate k(-12). -2 Let m(x) = -x**3 - 4*x**2 - x. Let z = -13 + 12. Let c be m(z). Let k(g) = -4*g. What is k(c)? 8 Let f be 2 - ((-2)/8 - (-4)/16). Let y(z) be the second derivative of -7*z**3/6 + 3*z**2/2 - z. Give y(f). -11 Suppose 2*g = -30 + 40. Let n(l) = -54 - 53 + 107 - g*l. Calculate n(1). -5 Let h(i) be the first derivative of 0*i + 0*i**5 + 1/6*i**3 + 7/120*i**6 - 8 - 1/12*i**4 + 1/2*i**2. Let k(d) be the second derivative of h(d). Calculate k(1). 6 Let v(s) be the second derivative of 0 + 6*s - 3/2*s**2 - 1/6*s**4 + 2/3*s**3. Determine v(2). -3 Let s be (1*(-18)/15)/((-8)/60). Let k(t) = -t + 2. Determine k(s). -7 Let g(k) = 3*k**2 + 4*k + 23. Let q(f) = -16*f**2 - 17*f - 118. Let b(j) = 11*g(j) + 2*q(j). What is b(-7)? -4 Let d(t) = 2*t - 1. Let m(y) = -3*y**2 + 7*y - 5. Let f(a) = 4*d(a) - m(a). Determine f(2). 15 Let b(c) be the first derivative of -c**7/840 + c**6/180 - c**5/30 + c**4/8 - 7*c**3/3 + 2. Let n(y) be the third derivative of b(y). Calculate n(2). -5 Let k(w) = w**3 + 10*w**2 + 11*w + 7. Suppose 4*m - 3*j - 27 = 0, -3*m + 6*m + 2*j - 16 = 0. Suppose 5*b = 10, 0 = 4*a + m*b - 3*b + 30. Calculate k(a). -11 Let u be 9/(-11) + 60/(-330). Let c(s) be the third derivative of -s**6/120 - s**5/30 - s**4/24 - s**3/6 + 4*s**2. Calculate c(u). -1 Suppose 35 + 10 = 5*q. Let x be ((-8)/(-10))/(2/10). Suppose -q*p + x*p = -5. Let r(l) = -2*l**3 - 1. Determine r(p). -3 Let i(x) = x**2 - 3*x - 12. Let w be ((-28)/(-3))/(-7)*(-45)/10. Give i(w). 6 Let j(g) = -g. Suppose -5*z + 5*k - 15 = 15, -5*k = z. Let i = z + 4. Calculate j(i). 1 Suppose -2*d + 3*w + 8 = 3*d, d - 12 = -2*w. Suppose -d*f - 4*f = 0. Let j(v) = -v + 2. What is j(f)? 2 Suppose -4 = n, 0 = 4*o + 8*n - 7*n - 20. Suppose -o*m - 18 = -42. Let b(k) = -k - 1. What is b(m)? -5 Let k be 4/5*(0 + 10). Let q be 2*3/2 - k. Let h(s) be the second derivative of s**4/12 + 2*s**3/3 + s**2 - 6*s. Determine h(q). 7 Let g(i) = 6*i + 2018 - i**3 - 4034 - 4*i**2 + 2022. Let y = 6 - 11. Calculate g(y). 1 Let l = -236 - -244. Let a(s) = s - 3. Determine a(l). 5 Let l(n) be the second derivative of n**4/12 - n**3 + 11*n**2/2 + 22*n + 3. Determine l(5). 6 Let o = 7 + -5. Let y(u) = u - u**o + u + 1 - 5*u + 4*u. Suppose 5*j = 5*q + 5, 2*j + 3 = -3*q - 0*q. Calculate y(j). 1 Let g(m) = -m + 3. Let x(a) = -3*a + 11. Let p be x(3). Suppose 4*o + 5*r = -2, 3*o = -r + 6 - p. Suppose -6 = -o*z + z. Give g(z). -3 Let h(t) = 1. Let r(q) = 9 - 1 + 2 - 2*q**2 + 2*q. Let d(s) = 8*h(s) - r(s). Give d(3). 10 Let r(q) be the second derivative of q**8/1120 + q**7/2520 + q**6/720 - q**5/120 - 7*q**4/3 + 22*q. Let p(f) be the third derivative of r(f). Calculate p(1). 7 Let d(n) = -2*n**2 - 1. Let k(u) = 2*u**2 - u + 3. Let b(i) = -2*d(i) - k(i). What is b(1)? 2 Let g = 609 + -606. Let y(o) = o**2 - 8*o + 4. What is y(g)? -11 Let h(z) = 3*z - 4. Let g be h(3). Suppose g*r = 20 - 5. Suppose 0 = r*b - b, 15 = 5*n - b. Let p(a) = 2*a + 3. Calculate p(n). 9 Let a(j) = 2 + 6*j - j**2 - 2 + 1. Let f(h) = -h**2 - 15*h - 7. Let w be f(-14). Determine a(w). -6 Suppose 0 = 2*n - f + 4*f - 10, n - 2*f - 12 = 0. Let c be -1 + n - (0 - -1). Let h(v) = v - 6. Determine h(c). 0 Let x(b) = b**2 - 7*b + 5. Let g(c) = -c**2 + 4*c - 3. Let h(o) = 5*g(o) + 3*x(o). Let w be -6*2*-1*(-3)/12. Give h(w). -15 Let o(m) be the first derivative of 4*m**3/3 + 3*m**2/2 - 3*m - 33. Give o(-3). 24 Let i(g) = -2*g**3 - 4*g**2 - 4. Let u = -151 + 148. Calculate i(u). 14 Let y(s) be the third derivative of -17*s**5/60 - s**4/24 - s**2 + 18*s. Give y(-1). -16 Let v(s) be the second derivative of s**3/3 - 3*s**2 + 7*s - 4. Let g = -3 - 1. Let i be (g/3 - 0)*-3. What is v(i)? 2 Let q(l) = l**3 + l**2 - l - 1. Let n(w) = -4*w**3 - 8*w**2 + 5*w + 7. Let m(g) = n(g) + 5*q(g). Let j = -5 + 7. Suppose a - j = 1. Calculate m(a). 2 Let l(j) = 2*j**2 + j. Suppose 11*v - 12*v - 2*z + 11 = 0, 4*z = 4*v + 16. Calculate l(v). 3 Let b(f) be the first derivative of 1/3*f**3 - 7/2*f**2 + f + 2. Let j = -7 + 13. Calculate b(j). -5 Suppose 0 = 3*i + 4*l - 8, 4*i - 6 = i - 3*l. Let v(k) = 3 - 5*k + i + 0. Suppose 3*p - 3 = -42*r + 43*r, -15 = -5*r. Calculate v(p). -7 Let f(k) = -2*k**2 + 31*k - 19. Let x be f(15). Let b(y) = -y**2 - 6*y + 3. Give b(x). 11 Let i(h) be the third derivative of 1/120*h**6 + 0*h - 5/6*h**3 + 32*h**2 + 1/20*h**5 - 1/6*h**4 + 0. Let j be 1*(-1 + 1) - 4. What is i(j)? -5 Suppose 0 = 2*a + a + 102. Let u = a - -28. Let n(g) = g**2 + 3*g + 1. Calculate n(u). 19 Let s(h) be the third derivative of h**6/120 + h**5/12 + 7*h**3/6 - 142*h**2. Calculate s(-5). 7 Let h(j) = -4*j**2 + 3*j + 3. Suppose 5*d + 2*o = 5, -8*d + 13*d + 4*o + 5 = 0. Give h(d). -24 Let m(f) be the second derivative of -f**6/360 - f**5/40 + 25*f**4/12 + 6*f. Let d(g) be the third derivative of m(g). What is d(-2)? 1 Suppose 10 = -15*v + 25*v. Let b(k) = -2*k - 1. Give b(v). -3 Let t(x) = -16*x**3 + x**2 + 2*x + 1. Let p(v) = 3*v - 4. Let d be p(1). Calculate t(d). 16 Let p(k) be the third derivative of -2*k**5/3 + k**4/24 - 357*k**2. Give p(1). -39 Let q(n) = 95 - 96 + 3*n - 5*n. Suppose 0 = -4*f + 4*l - 28, 2*l - 2 + 4 = -2*f. Calculate q(f). 7 Let c(u) = 2*u + u + u. Suppose -34*z + 39*z = -70. Let k = z - -11. Give c(k). -12 Let w be (4 - (-28)/(-6))/((-4)/102). Let f(j) = 13 + 21*j + w*j - 2 - 37*j. Determine f(-9). 2 Let g(c) = c**2 - 6*c - 6. Let x be 3*(-24)/(-9)*222/296. Calculate g(x). -6 Let q(w) = w**3 + 2*w**2 - 3*w + 1. Let r = -231 + 228. Give q(r). 1 Let f(o) be the first
{ "pile_set_name": "DM Mathematics" }
2*o + m - 15. List the prime factors of o. 3 Let r(x) = x**3 - 5*x**2 + x + 4. Let g be r(4). Let o(b) = -b**2 - 7*b - 8. Let f be o(-8). Let w = g - f. List the prime factors of w. 2 Let t = 17 - 31. Suppose 3*s - 58 = 32. Let q = s + t. What are the prime factors of q? 2 Let r(s) = s**2 + 8*s - 9. What are the prime factors of r(-11)? 2, 3 Suppose -6*k - 2 = -7*k. Suppose q + 3*c = -k, 5*q - c - 2*c = 62. List the prime factors of q. 2, 5 Suppose -10*o + 13*o = 6. Let k be (-4)/10 + (-142)/(-5). Suppose -2*j = -2*t - 20, -4*j - o*t + k = 6. List the prime factors of j. 7 What are the prime factors of 15 - ((-9)/3)/1? 2, 3 Let x = -4 + 6. Let s = 3 + x. Suppose -3*u + 3*r = -s*u + 18, -2*r = 0. List the prime factors of u. 3 Let m(p) = -p**2 - 8*p - 4. Let r be m(-7). Suppose 165 = -0*q + r*q. List the prime factors of q. 5, 11 Let l(x) = -x**2 + x + 2. Let k be l(2). Suppose k = -4*a + 16 + 12. List the prime factors of a. 7 Let m(z) = 2*z - 1. Let a(q) = -2*q**2 - 5*q - 2. Let j be a(-3). Let o be (-2)/(-6)*3 - j. What are the prime factors of m(o)? 11 Let o(l) = 15*l**2 + 4*l + 10. List the prime factors of o(-2). 2, 31 Suppose -o + 0*o = 0. Suppose 3*s + o*s = 30. What are the prime factors of s? 2, 5 Let u(s) = s**3 + 9*s**2 + s - 12. Let o = -11 - -2. Let r be u(o). Let c = 36 + r. What are the prime factors of c? 3, 5 Let m = -2 - -5. Suppose 0*n = -n + m. List the prime factors of n. 3 Let q = -24 + 86. List the prime factors of q. 2, 31 Let t(x) = -x**3 - 7*x**2. Let a be t(-7). Suppose a*r = r - 8. List the prime factors of 44/r - (-1)/2. 2, 3 Suppose -5*z + 11 = -24. Suppose -1 = a - 7. Suppose -z*k = -2*k - 2*o - a, k - 2*o = -2. List the prime factors of k. 2 Let t = -82 - -139. List the prime factors of t. 3, 19 Let s(f) = -31*f - 4. Let r be s(4). Let o = r + 188. What are the prime factors of o? 2, 3, 5 Suppose 275 = 3*b + 2*b. List the prime factors of b. 5, 11 Let t = -7 - -12. Suppose -2*i + 2*l + 7 = -27, -l - 73 = -t*i. What are the prime factors of i? 2, 7 Suppose 23 = 5*z - 2*w, -2*z + z = -5*w. Suppose 36 = z*k - 2*k. List the prime factors of k. 2, 3 Suppose 0 = 2*c - 3*c + 3. Suppose b - c*b + 24 = 0. What are the prime factors of b? 2, 3 Suppose 356 = 4*v + 2*f - 4*f, -344 = -4*v + 5*f. Let w = v + -63. List the prime factors of w. 2, 7 Suppose 4*o = 2*o - 38. Let b = o + 34. What are the prime factors of b? 3, 5 Let k(m) = m**2 - 2*m - 4. Let h be 1*-2*1/2. Let u be ((-2)/(-4))/(h/6). What are the prime factors of k(u)? 11 Let a be (3 - 3)/(-2) - -3. Suppose -2*u + q = -91, a*q - q + 6 = 0. List the prime factors of u. 2, 11 Let j(b) = 6*b + 1. Let d(x) = x. Let g(c) = 5*d(c) - j(c). Let q be g(-6). Let m = 13 - q. List the prime factors of m. 2 Suppose 5*m - 15 = j + 3*j, -25 = -5*j. Suppose 2*f = -2*u, 3*u + 5*f = -3 + 5. List the prime factors of u + (m - 2) + 0. 2 Let v(f) = -9*f - 6. Let q = -16 + 9. Let k be v(q). Suppose 2*p = -p + k. List the prime factors of p. 19 Let c(o) = -o**3 - 5*o**2 + 4*o - 2. Let x be c(-5). What are the prime factors of (-4)/x + (-788)/(-22)? 2, 3 Suppose 445 = 3*i - 2*k, 2*k - 730 = -5*i + 3*k. List the prime factors of i. 5, 29 Let k = -19 + 231. What are the prime factors of k? 2, 53 Let a(z) = 10*z + 5. Let r(d) = -29*d - 15. Let k(n) = 17*a(n) + 6*r(n). List the prime factors of k(-11). 3, 13 Suppose -8 = -3*h + f, 5*h + 2*f - 18 = 6*f. Suppose -3*u + a + 51 = 0, 5*u - h*u + 3*a - 51 = 0. Suppose 0 = -0*d - d + u. List the prime factors of d. 17 What are the prime factors of (17/(-2))/(14/(-84))? 3, 17 What are the prime factors of (-3)/18 + 2534/12? 211 Suppose 8*r - 78 = -5*r. What are the prime factors of r? 2, 3 Let s = 240 - 357. What are the prime factors of s/(-4) + 7/(-28)? 29 Let m(x) = -2*x**2 + 2*x + 1. Let s be m(-2). Let z(o) = -o**2 - 11*o + 15. What are the prime factors of z(s)? 3, 5 Suppose o - 8 = -2*j + 2*o, 3*o - 16 = -4*j. Suppose 3*c - j*c = -7. List the prime factors of c. 7 Let d(r) = -r + 4. Let p be d(6). What are the prime factors of (-219)/(-15) + p/(-5)? 3, 5 Let s be (-2)/8 - 3/(-12). Let k = 4 - 1. What are the prime factors of (2 + s)/(1/k)? 2, 3 List the prime factors of 24*(2 + (-185)/(-15)). 2, 43 Let z(j) = -4 + j + 5*j**2 - j**3 - 5*j + 5*j + 0. Let k be z(4). Let r = -9 + k. List the prime factors of r. 7 Suppose -b + 5*b - 168 = 0. List the prime factors of b. 2, 3, 7 Let h = 89 + -57. Let x = h - 17. List the prime factors of x. 3, 5 Let j be 5*((-324)/(-15))/3. List the prime factors of 8/(-6)*j/(-8). 2, 3 Suppose -105 = -3*j + 2*z + 93, -2*j + 127 = -3*z. List the prime factors of j. 2, 17 Let q = -10 - -12. What are the prime factors of q? 2 Let k = -260 + 388. List the prime factors of k. 2 Let x = -34 + 47. What are the prime factors of x? 13 Suppose -4*v = 12 - 44. What are the prime factors of v? 2 Let w be (-3 + 1 - -12)/1. Suppose 0*z - 5*z = -w. What are the prime factors of z? 2 Let f(w) = 3*w**3 - 14*w**2 + 2*w - 4. List the prime factors of f(7). 353 Let u = -24 + 24. Suppose -3*j + 5*x + 18 = -2*j, 4*x - 12 = u. What are the prime factors of j? 3, 11 Suppose 3*g = -1 - 5, 3*j - 26 = g. Suppose 4 = 3*y - 2. Suppose -y*b = -b - j. List the prime factors of b. 2 Suppose 2*w - 427 = -117. List the prime factors of w. 5, 31 Let n = 5 - 7. List the prime factors of n/(-7) + (-82)/(-7). 2, 3 Suppose 2*h + 14 = 258. List the prime factors of h. 2, 61 Let t(p) = 2*p - 2. Let m = -3 - -6. Let d be t(m). List the prime factors of 166/18 + d/(-18). 3 What are the prime factors of 2 + -1 + (-80)/(-2)? 41 Suppose 5*i - 19 = -3*o, 0*i - 18 = -3*i - 4*o. What are the prime factors of 4/(-5)*(-85)/i? 2, 17 Suppose 5*g = -15 + 85. List the prime factors of g. 2, 7 Let b(u) = -6*u**2 - 2*u**3 - 2*u + 1 + 6 + 3*u**3. Let v be b(6). List the prime factors of ((-5)/(-2))/v*-10. 5 Suppose 878 = 12*i - 1126. What are the prime factors of i? 167 Suppose -4*p + d + 279 = -302, -579 = -4*p - d. What are the prime factors of p? 5, 29 Let w be 5 + (2 + -6 - -2). Suppose 3*q = -2*f - 0*f + 5, 4*f - w*q - 19 = 0. Suppose f*s + c = 35 + 33, 3*c + 20 = 2*s. List the prime factors of s. 2 Suppose 0 = -3*m + 278 - 47. What are the prime factors of m? 7, 11 Let o(l) = -7*l**2 - 8*l - 9. Let u(w) = -13*w**2 - 16*w - 17. Let b(j) = 11*o(j) - 6*u(j). Let t = 2 - 10. List the prime factors of b(t). 3 What are the prime factors of -2*(6 + -3)*-2? 2, 3 Let d(k) = -k**2 + 13*k - 21. What are the prime factors of d(10)? 3 Suppose 0 = 3*m + 128 + 7. Let c = m - -77. List the prime factors of 5/15 - c/(-3). 11 What are the prime factors of (-4)/(-26) - (-72)/39? 2 List the prime factors of (3 - 2) + -3 + 41. 3, 13 Suppose 5*n + 34 = 4*t, 0 = 4*n + 5 + 3. Suppose -t*w + 0*w = -108. What are the prime factors of w? 2, 3 Let m be (1 - (3 - 2))*1. Suppose -2*f + 4*w + 6 = -m*f, 2*w = 0. What are the prime factors of f? 3 Suppose -6*h - 8 = -98. What are the prime factors of h? 3, 5 Let b(z) = 5*z**2 + z - 9. List the prime factors of b(4). 3, 5 Let a(d) = d**2 + 3*d + 0 - 2 + 14 + 6*d. What are the prime factors of a(-10)? 2, 11 Suppose -63 = -2*x - 41. What are the prime factors of x? 11 Let r = -36 + 54. Let v = 6 - r. Let h = 5 - v. What are the prime factors of h? 17 Suppose 4*o + 2*j - 390 = 0, o - 3*j - 395 = -3*o. List the prime factors of o. 2, 7 Suppose 0 = -4*j + 36 - 12. Let l(x) = -x**3 - 6*x**2 - 4*x + 8. Let i be l(-5). Suppose 9 = i*z - j. List the prime factors of z. 5 Let y(h) = h**2 + 3*h + 5. Let l be y(-4). Let c = l + -3. List the prime factors of c. 2, 3 List the prime factors of (-165)/(-4)*(-2)/(-12)*16. 2, 5, 11 Suppose 7*j + d = 2*j + 282, 0 = -2*j - d + 114. Suppose 3*l - j = 34. What are the prime factors of l? 2, 3, 5 Let l = 13 + -8. List the prime factors of l. 5 Let h(d) = d + 2. Let l be h(-8). What are the prime factors of 8/(-2)*33/l? 2, 11 List the prime factors of -1 - 898/(-2) - (-20 + 24). 2, 3, 37 Let m = 11 - 28. Let n be 0 + (2/(-1) - 8). Let q = n - m. What are the prime factors of q? 7 Suppose 2*n + 19 = i - n, 3*i - 15 = -5*n. Let t be (-46)/i + (-12)/(-20). Let d = 6 + t. What are the prime factors of d? 2 Let v(p) be the first derivative of -p**2/2 + 3*p - 9. Suppose -4*a = -x + 26, -2*a + 0*x = -2*x + 16. What are the
{ "pile_set_name": "DM Mathematics" }
9/25 of a microgram? 360 Convert 0.3934383 days to hours. 9.4425192 What is 15/4 of a litre in millilitres? 3750 How many grams are there in 3/50 of a kilogram? 60 Convert 823818.9 centuries to millennia. 82381.89 How many minutes are there in 6/5 of a week? 12096 What is 3/16 of a kilometer in centimeters? 18750 How many nanoseconds are there in 87/5 of a microsecond? 17400 How many meters are there in 1/10 of a kilometer? 100 What is nine tenths of a microsecond in nanoseconds? 900 How many kilometers are there in 3156.414 nanometers? 0.000000003156414 How many meters are there in twenty-nine fifths of a kilometer? 5800 What is 25/4 of a litre in millilitres? 6250 What is 11.65675 millilitres in litres? 0.01165675 How many meters are there in 13.08304 micrometers? 0.00001308304 How many millennia are there in 75.21581 years? 0.07521581 How many millilitres are there in seven halves of a litre? 3500 Convert 8.234139 nanometers to millimeters. 0.000008234139 How many millennia are there in 7965.995 centuries? 796.5995 Convert 267.1712 meters to centimeters. 26717.12 How many grams are there in 93.69634t? 93696340 What is ten thirds of a year in months? 40 What is twenty-five eighths of a decade in months? 375 What is 3/5 of a millimeter in micrometers? 600 How many centuries are there in 30.908 millennia? 309.08 How many meters are there in thirteen quarters of a kilometer? 3250 How many years are there in 6/25 of a century? 24 How many millimeters are there in 8.640934km? 8640934 What is one fifth of a millennium in years? 200 What is 26/5 of a millimeter in micrometers? 5200 How many centimeters are there in 3/25 of a meter? 12 Convert 35255.2 millilitres to litres. 35.2552 How many millilitres are there in 21/4 of a litre? 5250 What is 67/4 of a meter in centimeters? 1675 How many millilitres are there in three eighths of a litre? 375 What is 1/4 of a microsecond in nanoseconds? 250 What is 5/4 of a litre in millilitres? 1250 What is fourty-five eighths of a millimeter in micrometers? 5625 Convert 437.0906 decades to months. 52450.872 What is 1/20 of a tonne in grams? 50000 How many decades are there in 52/5 of a century? 104 Convert 94.03991m to centimeters. 9403.991 Convert 7.345513ug to grams. 0.000007345513 How many millilitres are there in 98092.31l? 98092310 How many milligrams are there in 1/16 of a kilogram? 62500 What is eleven halves of a hour in minutes? 330 How many centimeters are there in 15/4 of a meter? 375 What is 97/2 of a kilometer in meters? 48500 What is one twentieth of a milligram in nanograms? 50000 What is two ninths of a hour in seconds? 800 How many weeks are there in 1039183.236 milliseconds? 0.00171822625 How many decades are there in twenty-one fifths of a millennium? 420 How many years are there in 7/2 of a century? 350 What is 8242.48mm in centimeters? 824.248 Convert 9515.331 nanometers to meters. 0.000009515331 Convert 809281.7 nanograms to kilograms. 0.0000008092817 What is 1/45 of a day in minutes? 32 Convert 99076.4 centuries to years. 9907640 How many millilitres are there in seven eighths of a litre? 875 Convert 0.5703465cm to nanometers. 5703465 Convert 71.13302 centuries to years. 7113.302 What is 43/4 of a kilogram in grams? 10750 What is 15904.13 millilitres in litres? 15.90413 How many kilograms are there in 1/5 of a tonne? 200 What is seven sixths of a millennium in months? 14000 How many nanograms are there in 27333.97ug? 27333970 What is 459.9602um in kilometers? 0.0000004599602 What is fifty-two fifths of a litre in millilitres? 10400 What is seven halves of a litre in millilitres? 3500 What is 7/2 of a litre in millilitres? 3500 What is 1/5 of a litre in millilitres? 200 What is nineteen quarters of a litre in millilitres? 4750 What is 56294.31kg in tonnes? 56.29431 Convert 85467.06s to microseconds. 85467060000 What is 15/4 of a litre in millilitres? 3750 How many nanograms are there in 0.7483197g? 748319700 How many micrometers are there in 7/16 of a centimeter? 4375 How many seconds are there in 8.054485 hours? 28996.146 Convert 231.6684 hours to milliseconds. 834006240 What is 1205.776mm in meters? 1.205776 How many decades are there in 21.760197 months? 0.181334975 What is 0.4761495mm in micrometers? 476.1495 What is 954258.5 litres in millilitres? 954258500 What is 1040.709 litres in millilitres? 1040709 What is 3/10 of a tonne in kilograms? 300 How many grams are there in twenty-three eighths of a kilogram? 2875 Convert 275.6201ml to litres. 0.2756201 How many milliseconds are there in 20181.52 minutes? 1210891200 How many nanograms are there in 18/5 of a microgram? 3600 How many decades are there in twenty-seven halves of a millennium? 1350 What is 5462.673l in millilitres? 5462673 What is 68.60438 decades in years? 686.0438 What is 3652.307mm in kilometers? 0.003652307 What is 43.90067 nanometers in millimeters? 0.00004390067 What is 3/10 of a meter in millimeters? 300 What is 3.393387 days in seconds? 293188.6368 How many hours are there in 71296.02us? 0.00001980445 How many millilitres are there in 8.420747l? 8420.747 What is one quarter of a millimeter in micrometers? 250 How many seconds are there in 1/60 of a day? 1440 What is 2.246565 years in millennia? 0.002246565 What is 9.307621 hours in seconds? 33507.4356 How many nanometers are there in 12/25 of a micrometer? 480 What is 8202.66993s in weeks? 0.013562615625 What is 5/8 of a second in milliseconds? 625 How many days are there in 10/7 of a week? 10 What is 806058.9 centuries in millennia? 80605.89 What is 11/2 of a tonne in kilograms? 5500 How many nanometers are there in 169.1289mm? 169128900 What is three tenths of a microgram in nanograms? 300 Convert 0.5774878 weeks to nanoseconds. 349264621440000 Convert 99.14213l to millilitres. 99142.13 How many grams are there in 431.2853 micrograms? 0.0004312853 How many years are there in 16.79859 centuries? 1679.859 How many seconds are there in 3/28 of a week? 64800 Convert 580387.7g to tonnes. 0.5803877 What is 9.886423 weeks in seconds? 5979308.6304 How many micrograms are there in 96314.21 milligrams? 96314210 What is 3292.299 millennia in decades? 329229.9 What is 981.383m in centimeters? 98138.3 What is 17/4 of a litre in millilitres? 4250 How many millilitres are there in 3/8 of a litre? 375 What is five eighths of a litre in millilitres? 625 What is 29083.09 milligrams in nanograms? 29083090000 What is 5/6 of a hour in seconds? 3000 What is 59/5 of a litre in millilitres? 11800 What is 32/5 of a micrometer in nanometers? 6400 Convert 973535.2l to millilitres. 973535200 How many millilitres are there in 68233.18 litres? 68233180 What is twenty-seven fifths of a kilogram in grams? 5400 How many micrograms are there in three tenths of a milligram? 300 Convert 5.327151 minutes to hours. 0.08878585 Convert 2.253148 years to decades. 0.2253148 How many millilitres are there in 378136.2 litres? 378136200 What is 377486.6 kilograms in tonnes? 377.4866 How many months are there in 9.428966 decades? 1131.47592 How many seconds are there in eight fifteenths of a day? 46080 What is 820.3142m in micrometers? 820314200 How many kilograms are there in 7/2 of a tonne? 3500 What is seventy-three quarters of a microgram in nanograms? 18250 What is 3/25 of a kilogram in grams? 120 How many grams are there in sixty-three eighths of a kilogram? 7875 How many millilitres are there in 51/2 of a litre? 25500 Convert 512.014 meters to centimeters. 51201.4 What is sixteen ninths of a hour in seconds? 6400 What is 2.3580762 months in millennia? 0.00019650635 What is five eighths of a minute in milliseconds? 37500 How many meters are there in seventy-four fifths of a kilometer? 14800 How many grams are there in 1/5 of a kilogram? 200 What is 22/15 of a hour in minutes? 88 How many milliseconds are there in 0.660084 hours? 2376302.4 What is 0.923909l in millilitres? 923.909 Convert 143966.3 minutes to seconds. 8637978 How many milliseconds are there in 53.10024 days? 4587860736 How many nanograms are there in seventy-two fifths of a microgram? 14400 Convert 964.6417mm to micrometers. 964641.7 What is 3.84538 millilitres in litres? 0.00384538 How many nanograms are there in one fifth of a microg
{ "pile_set_name": "DM Mathematics" }
-u - 4*v + 2 - 5 for u. 1 Solve -3*b + 4 = 2*n, n = -2*b - n + 2 for b. 2 Solve d = 5*o + 12, 2*d + 2*o - 6*o = 12 for d. 2 Solve 43 = 5*g + 3*w, 5*g + 8*w - 12*w - 1 = 0 for g. 5 Solve -5*w - 4*h - 20 = -10*w, w + h + 5 = 0 for w. 0 Solve 2*g + 6 = 0, -6*g = 4*i - 7*g + 5 for i. -2 Solve 2*c + 20 = -5*r - 10, 2*r + 28 = -4*c for c. -5 Solve 2 = -5*s - 3*k, -k + 7 = 5*s + 1 for s. 2 Solve -12*w + 9*w + 2*z + 7 = 0, -3*w = -4*z + 1 for w. 5 Solve -8*d = 5*u - 11*d - 10, 0 = 2*u - 3*d - 13 for u. -1 Solve -84*v + 89*v + 10 = b, 0 = b + 3*v - 2 for b. 5 Solve -5*f = -15, 3*h = 5*h + 5*f - 25 for h. 5 Solve -2*k - 3*p - 5 = -3*k, -3*p + 5 = k for k. 5 Solve y = -3*t, -2*t - 3*y + 28 = 42 for t. 2 Solve 3*m - 73*y = -75*y, -5*y - 9 = 3*m for m. 2 Solve -2*t + 4*u = -10, -42*t - 3 = -44*t - 3*u for t. 3 Solve 3*w = 3*q - 15, -2*w - 6*q + 4*q = -10 for w. 0 Solve -5*r - 12 = -2*o, 6*o - o + r + 24 = 0 for o. -4 Solve -k - 3*t = 9, 2*t = -2*k + 3*k - 16 for k. 6 Solve -138*j = -142*j + 4*x - 12, -2*j = 2*x + 6 for j. -3 Solve 5*v = 5*i + 52 - 17, 0 = -2*i - 6 for v. 4 Solve -7*p = -3*p + 5*x, 0 = -p + 2*x for p. 0 Solve 24 = -4*d + 4*j, 0 = -d - 3*j + 1 + 9 for d. -2 Solve -7*x + 9*x = 0, 0*j + 5*x = 3*j for j. 0 Solve 0 = 2*h - u - 8 + 11, 6 = -h + 5*u for h. -1 Solve -23 = -v + 5*s, 28*v - 2*s - 16 = 31*v for v. -2 Solve 5*i + 3 = -2*k + 7, 5*k + 15 = 0 for i. 2 Solve -10*t = 4*f - 7*t - 26, 0 = -f - 3*t + 20 for f. 2 Solve 39 = -3*r + 5*b + 48, 0 = 3*r + b + 9 for r. -2 Solve 4*k + 4*d - 40 = 0, -k + 5*k - 25 = -d for k. 5 Solve 2*i = -0*i + 2*b + 2, 5*i = b + 17 for i. 4 Solve -2*g + q = -9, -2*g + 43*q + 6 = 39*q for g. 5 Solve t + 4*h = -15, -3*t = 2*h - 8 + 3 for t. 5 Solve -3*r - 35 = -4*g, 55 - 5 = -5*r + 5*g for r. -5 Solve 4*n - 5*p = -10, -20*n + 15*n = -2*p + 4 for n. 0 Solve 3*n = -4*d + 5, 9*d - 49 = -4 for n. -5 Solve 8 = -2*q + 2, -6 = 3*b + 5*q for b. 3 Solve -4*i = -4*c - 32, 8*c = 5*c + 2*i - 21 for c. -5 Solve -4*f - 3*k = -11, 71*f + 30 = 66*f + 5*k for f. -1 Solve 5*s + 16 = -2*o, 3*o + 16 = -2*s - o for s. -2 Solve 5*n + k - 25 + 10 = 0, 0 = -2*k + 10 for n. 2 Solve -x - 14 = -5*u, 9 = 207*u - 204*u for x. 1 Solve -17 = -5*g - h - 2, -5*g + h + 15 = 0 for g. 3 Solve 8 = -2*d - 5*s, -s - 115 = 3*d - 103 for d. -4 Solve 4*p = -3*k - 32 + 5, 4*k = -2*p - 26 for k. -5 Solve 0 = h - 8, 8*m + 4*h = 5*m + 26 for m. -2 Solve q - 2*v = -5 + 2, 2*q + 3*v = 22 for q. 5 Solve -5*o + 0 = 3*w + 2, -2*o + 3*w - 5 = 0 for o. -1 Solve -24 = o - 5*o + 4*f, 3*o + 4*f - 4 = 0 for o. 4 Solve 3*i + 2*i = 3*c + 9, -3*c + 6 = 0 for i. 3 Solve k + l + 3 = 0, -3*l - 458 = -5*k - 449 for k. 0 Solve j - 5*m = -4*j, -2*j = m for j. 0 Solve -2 = 2*j - 2*c - 8, 3*j - 5*c - 13 = 0 for j. 1 Solve 4 = -5*v - s, 6 + 14 = v - 5*s for v. 0 Solve -17 = -2*l + 3*f, -f = 5*l - 21 + 4 for l. 4 Solve -i = 4*i + 2*o, -3*o = -3*i + 21 for i. 2 Solve 0 = 4*l + 2*j + 14, -10*j - 26 = l - 5*j for l. -1 Solve 1 = -4*p - 15, 0 = -2*n + 4*p + 10 for n. -3 Solve 3*b = 4*r - 12, -2*r + 8 = 2 for b. 0 Solve -5*s = -25, 10 + 5 = 5*z + 5*s for z. -2 Solve -14 = -2*k - 2*l, 1 = -k - 4*l + 11 for k. 6 Solve -4*t + 3*c + 17 = 0, -14*t + 2*c + 12 = -11*t for t. 2 Solve -61*k + 5*m = -65*k + 11, 4*m - 17 = 5*k for k. -1 Solve -3*q - 11 = -2*j, -2*q + q = 4*j + 13 for q. -5 Solve -23*w = -22*w - 4*g, w - 5*g = -1 for w. 4 Solve t - 11 = -4*f, -4*t + 9*t = -2*f + 1 for f. 3 Solve 3*s - 4*b = -26 + 1, -3*s - 3*b = -3 for s. -3 Solve -4 = -2*c - y + 5, 3*c + y - 13 = 0 for c. 4 Solve -4*p + 5*y + 3 = 0, -10*y + 15*y - 13 = -4*p for p. 2 Solve -5*t + 3*t - l - 6 = 0, l = -3*t - 7 for t. -1 Solve -2*b + 5*n = 5, -1 = 4*b - 3*b - 2*n for b. 5 Solve -4*v = y + 2*y, 0 = -5*v - 4*y for v. 0 Solve -z = -4*a - 5, 4*z - 2*z - 7 = 5*a for z. 1 Solve -4*k = -4*c + 16, -5*k + 21 = -c + 41 for k. -4 Solve 1 = -5*f - g, -3*g = -4 + 7 for f. 0 Solve -5*a - 152 = -4*z - 153, 2*z - a = -5 for z. -4 Solve 2*l - 97*v = -92*v - 18, -11 = -3*l - 2*v for l. 1 Solve -4*i + 11 = -3*s, -7*i - 3 = -11*i - 5*s for i. 2 Solve 4 = 2*u + z - 1, -3*z - 5 = 2*u for u. 5 Solve -2*y - 4 = -2, 3*y = -p - 3 for p. 0 Solve v = 4*p + 4, -2*v + 2*p - 4 = -0*p for v. -4 Solve -g + 2*u - 21 = -23, 25 = -4*g - 3*u for g. -4 Solve -2*m - 3*v = 2*v + 19, 4*v + 23 = m for m. 3 Solve -2*i - 4*o = -4*i + 2, -2*o - 4 = -4*i for i. 1 Solve -22 = -4*o + u, 154*o + 5*u = 157*o - 25 for o. 5 Solve 5*h = 5*t + 15, -5*t + 0*t + 5 = 5*h for t. -1 Solve 3*f = -f - 4, 4*f + 9 = -5*k for k. -1 Solve 5*f + 14 = 3*x + f, 2*x - 3*f - 11 = 0 for x. -2 Solve l - 4*s - 17 = -0*s, 2*s + 9 = l for l. 1 Solve -3*u + 5*z = -14 + 9, -2*u + 3*z + 3 = 0 for u. 0 Solve 5*q = -4*g, -21*q = -16*q + 3*g - 5 for q. 4 Solve -4*a + 5*r + 5 = 0, 0 = 3*a + 3*r + r - 27 for a. 5 Solve -24*c + 26*c + 5*j = -15, -2*c = j + 11 for c. -5 Solve -3*v = 12, 2*v = 5*j + 18 - 51 for j. 5 Solve 22*g + 4*x - 19 = 25*g, 8 = 2*x for g. -1 Solve -3*k = -4*u - 12, 3*k + 2*u = -2*u - 12 for k. 0 Solve 5*y + 5*u - 2*u - 18 = 0, y = 5*u - 2 for y. 3 Solve -28 = 5*s - 2*j, 3*s + 8 = -0*j - j for s. -4 Solve 5*l = -3*o + 2, 17*l = -5*o + 15*l + 16 for o. 4 Solve 49*f = 41*f - l - 33, 0 = 5*f - 3*l + 17 for f. -4 Solve 2*l + 2*s + 4 = 2, 5*l - 4*s = -14 for l. -2 Solve -q = -2, 0*n - 2 = -4*n + q for n. 1 Solve -4*v + 2*z + 1 = -7, -16 = -v + 4*z for v. 0 Solve -5*o - 3*d = 16, 8*o + 3*d + 14 = 4*o for o. -2 Solve -4*d = -2*g - 11 - 7, 5*g = 4*d - 27 for d. 3 Solve 5*d - 6 = -2*i, 0*d + 3*i = d + 9 for d. 0 Solve 0 = -2*a + 2*y - 8, -2*a - 4 = -a + 4*y for a. -4 Solve 0 = -n + 13 - 10, -2*q - 5*n + 15 = 0 for q. 0 Solve -j - 2*v + 3 = 0, -6*j = -5*j + v + 1 for j. -5 Solve -12*d + 9*d - r + 2 = 0, -2*r = d - 4 for d. 0 Solve -3*k - 21 = 3*a, -4 = 3*k - a - 7 for k. -1 Solve 20 - 7 = 5*a - 2*y, 25 = 5*a - 5*y for a. 1 Solve 4 = m + 5*k - 4*k, m - 2*k + 8 = 0 for m. 0 Solve -4*y - 19 = -3*k, -3*y + 5*k - 12 = 5 for y. -4 Solve -x - 2*g + 7 = 3, 2*x + 5*g - 9 = 0 for x. 2 Solve 5*s - 2*i - 11 - 11 = 0, -3*s + 17 = -5*i for s. 4 Solve 3*h = 2*s - 4 - 5, 2*s - 12 = 4*h for h. -3 Solve -2*z + 7 = -3*s, 9*s = 11*s + 5*z + 11 for s. -3 Solve 2*t - 10 - 2 = 4*c, c + 3*t + 10 = 0 for c. -4 Solve 8*z - 3*z + 3*r - 18 = 0, -5*z + 2*r + 13 = 0 for z. 3 Solve -6*g = -10*g + 3*b + 19, -4*b = 3*g - 8 for g. 4 Solve 2*f + 25*b = 20*b - 28, -28 = 5*f + 2*b for f. -4 Solve -37*c + 35*c = -2*x + 4, -28 = -5*x - c for x. 5 Solve -35*u + 5 = -30*u, -4*u = k - 12 for k. 8 Solve 8*h - d - 9 = 13*h, h - 3*d = -5 for h. -2 Solve c = -3*c + 5*u - 3, 0 = 4*c - 4*u for c. 3 Solve -4*b + 2 = -n, 0 = 2*b + 5*n - n + 8 for b. 0 Solve -34 = -5*z + 3*n, 2*z + 2 = -3*n - n for z. 5 Solve -4*g + 12 = 0, 2*g = 4*h + 3 + 23 for h. -5 Solve 5*s + 5*p = 0, 3*s = 4*p - 14 - 21 for s. -5 Solve 2*a + 16 = 5*f - 0, 0 = -5*f - 3*a + 26 for f. 4 Solve 14 = w - 2*f - 2*f, 0 = -2*w - 5*f - 24 for w. -2 Solve -s + h + 2 = -1, 0 = 5*h + 5 for s. 2 Solve -5*v = 2*q - 16, -3*q - 6*v = -2*v - 10 for q. -2 Solve -13*s + 16*s - 3 = 0, f + 18*s = 23 for f. 5 Solve 4*g = s + 25, -5*g + 22 + 3 = 0 for s. -5 Solve 4*m + 2 = 2*t, -5*t - 1 = -6*t for m. 0 Solve 4*d + q + 3 = 0, 4*d + 11 = 4*q + 23 for d. 0 Solve 8 = -5*v + 3*t, 12 = -2*v - 2*t - 4 for v. -4 Solve -u - j - 9 = 0, 0*u - j - 14 = 2*u for u. -5 Solve -18 = -3*f + 3*n, -f - 10 + 26 = -3*n for f. 1 Solve -4*f = -4*s + 12, -4*f + 22*s + 3 = 21*s for f. 2 Solve 10*j = 9*j - 3*w - 13, 4*j = 3*w + 23 for j. 2 Solve -19 = s + 5*r, 5*s + 32 = -3*r - r for s. -4 Solve 2*k = -2*y - 8, 5*y = 9 - 24 for k. -1 Solve -h - 2*h + 14 = 5*n, 0 = 3*n + 3*h - 12 for n. 1 Solve -187*m = 3*d - 190*m + 9, 4*d - 3*m + 6 = 0 for d. 3 Solve 2*q - 15*x = -13*x + 10, 0 = 4*q - 2*x - 16 for q. 3 Solve -t - 16 = -3*j, 3*j + 24 = -2*t + 7*j for t. -4 Solve -195*q - 3*n + 8 = -196*q, q = n - 6 for q. -5 Solve s + 5*x - 28 = 0, 5*s + 5 = -0*s + 4*x for s. 3 Solve 10*b + 3*n = 5*b + 11, -3*b - 2*n = -6 for b. 4 Solve 3*z - 2 = q, 3*q = 2*z + 3 - 2 for q. 1 Solve -4*i = 7 + 1, -3*n + 5*i = 5 for n. -5 Solve 0 = -2*s + 4*u - 0 - 18, 22 = -3*s + u for s. -7 Solve -7*z = 5*h + 11, -37*h + 35*h + 4 = 0 for z. -3 Solve -3*y - 20 = j - 6*j, -2*y + 2*j - 8 = 0 for y. 0 Solve 9 = 5*t - 5*l + 39, -2*t = 5*l - 2 for t. -4 Sol
{ "pile_set_name": "DM Mathematics" }
itive. t**(-218) Simplify (((c**2/(c**4*c))**(-11))**(37/2))**(-1/51) assuming c is positive. c**(-407/34) Simplify (((q**2)**(2/79)*(q/(q*q*q/q**(-4/7)))**47)**46)**(2/17) assuming q is positive. q**(-6146152/9401) Simplify ((z/(z*z**(-2/7)))**(-24)/(z/z**3*z**4))/(((z**(-5/4)/z)/z)/(z*z/(z*((z*z/(z*z**(-4)))/z)/z)))**(-33) assuming z is positive. z**(-1403/28) Simplify (l/((l**(-5/2)*l)/l)*l*l)**33*((l**(-16/5)/l)/l)/l**4 assuming l is positive. l**(1723/10) Simplify (((l*l/l**0)/l)**(-2/87)/(l**(4/5)/(l**1*l)))/(l**(-6)/l*l**(3/5)*l/l**(-1)*l**(2/7)*l) assuming l is positive. l**(13067/3045) Simplify ((x**(-1/10)*x)**(-12)*((x/x**(-41)*x)/x)**43)**(2/9) assuming x is positive. x**(5984/15) Simplify ((t/(t*t**(-2/21)*t*t))/t)/(t**(-4/3)*t)*(t**0*t)/t*(t/(t**(3/7)*t))/t*(t**(-1/2))**(-2/11)*t**(-6)*t/((t**7/t)/t) assuming t is positive. t**(-153/11) Simplify ((p**(-2/9))**16)**(-15)*((p/(p*((p*p**1/p)/p)/p))**(-39))**2 assuming p is positive. p**(-74/3) Simplify ((d/(d*d**12)*d/(d*d**(-2/11))*((d/(((d/(d**1*d)*d)/d)/d))/d)**50)**(3/11))**(2/55) assuming d is positive. d**(1164/1331) Simplify (c**(1/4))**(4/31)/((c/(c*c*c*(c/(c/c**(-37)))/c*c))/c**29) assuming c is positive. c**(-185/31) Simplify ((h/(h/h**(1/9)))/h*(h*h**12)/h)**(-13)*h**3/h**(2/15)*h*(h/h**(-4/11))/h*h*h**3 assuming h is positive. h**(-67426/495) Simplify (((d*d*d/d**(2/5))**(2/163)/(d**(-1/4)/d)**(-30))**28)**(-24) assuming d is positive. d**(20520528/815) Simplify ((((x**(-4)/x)/x)/(x/(x**(-16/5)/x)))/((x/(x/(x**(-8)*x)*x))/(x/(x/x**(-7/5)))))**(2/9) assuming x is positive. x**(-46/45) Simplify (m**(2/7)/m**(-1/5))**(-50)*((m**(-2)*m*m)/(m**(-2/5)/m*m*m))/((m**4*m)/(m/(m*m*m**4))) assuming m is positive. m**(-1221/35) Simplify (a**(-26)/a)**(-34)*(a**3)**(-30) assuming a is positive. a**828 Simplify c*c*c/(c**(-22)*c)*c**(-9)*c/c**(-16)*c*c*c**(-15/11) assuming c is positive. c**(359/11) Simplify ((n**1/((n*n**(2/23))/n))/(n**(-1))**(-22))/((n*n**(2/13)*n*n)/n**(-7/3))**(1/2) assuming n is positive. n**(-21376/897) Simplify (p**(-1))**50*p**1/(p/p**0)*(p**(-1/4))**(2/29)*((p/p**3)/p)/p**2 assuming p is positive. p**(-3191/58) Simplify (((r/r**(3/10))/(r*r/r**(-4)))/((r*r**(-1))/r)**(-1/20))/((((r**0/r)/r)/r)/r**(-1/3))**(-40) assuming r is positive. r**(-6721/60) Simplify (((m**(-1))**(-23)/(m*m**(-1/3))**(-2/43))**(-15/2))**2 assuming m is positive. m**(-14855/43) Simplify ((a*a/a**(-19))/(a**(3/4)*a)*a**(-14)*a*a**(-5/2)/a)**(-23) assuming a is positive. a**(-253/4) Simplify (((r*r*r**(1/3))/(r*r**3)*r*r**(-1/3)*r**(-2))**(-20))**(4/23) assuming r is positive. r**(240/23) Simplify j/((j/j**(-45))/j*j)*j*j*j/(j*j**(-2/9))*j**(4/5)*j/j**(-3/14) assuming j is positive. j**(-25681/630) Simplify ((y**(-1))**(-42))**37/(y/(y**(-2)*y)*y*y/((y/y**(4/9)*y)/y))**(7/8) assuming y is positive. y**(111671/72) Simplify ((l**(1/12))**(14/3)*((l/l**(-2))/l)**0)**33 assuming l is positive. l**(77/6) Simplify ((r**3)**41*r**19/r**18)**(-2/13) assuming r is positive. r**(-248/13) Simplify (((y**3*y)/(y*(y*y/((y**(-2)*y)/y))/y))/(y**(-1)/y)**(6/17))/((y**(-1)/y)**36)**(-12/5) assuming y is positive. y**(-14628/85) Simplify ((g*g**(1/10)/g*g**4*g**(-1)/g*g**(-8))**33)**(6/17) assuming g is positive. g**(-5841/85) Simplify ((p**(-3/16)*p*p/p**(-11))/(((p**15*p)/p)/p**(-7/2)))**(4/11) assuming p is positive. p**(-91/44) Simplify ((n/n**(-13/4))/(n**28/n))/(n*n/n**(-40))**(-47) assuming n is positive. n**(7805/4) Simplify ((n**13/(n*n/(n**(-2)/n)*n))/(n*n/(n*n/n**(-7/5))*n*n**(-2/11)))**(-2/31) assuming n is positive. n**(-834/1705) Simplify (s/(s/(s**(-2/11)/s))*s**(1/8))**(2/23)*(s/(s*s*(s**0/s)/s*s*s))**(10/3)*s**(-7)*s*s*(s*s**(2/31)/s*s)/s assuming s is positive. s**(-786877/94116) Simplify ((z**(1/2)/z)**(-30)/(z**(-8/9)/z)**38)**(-2) assuming z is positive. z**(-1562/9) Simplify (m**(-7)/(m**5/m)*m/(m*(m/m**7)/m)*m*m*m**(-5))/((m**0)**(-44)*m**(3/7)*(m/m**4)/m*m) assuming m is positive. m**(-31/7) Simplify (j*j**(-1/10)*j)/(j*j/j**(-1/58))*((j*(j**(-23)*j*j)/j)/j)/j*j*j/j**(-37) assuming j is positive. j**(2303/145) Simplify (c**5/(c*c/c**(1/7)))/((c/(c/((c/c**(2/9)*c)/c*c*c))*c)/c)**24*(c/(c**8/c)*c**2)/(c**(-1/3)/(c**(-8)*c)) assuming c is positive. c**(-1558/21) Simplify ((p**(-2/3)/(p*p/(p*p/p**(-3/7))))/(p**10*p**(-7)/p))**(-7/3) assuming p is positive. p**(47/9) Simplify ((m/(m/m**5)*m**(-3))/((m*(m**(-1)*m)/m)/m)**(2/53))/((m**(-2/3)*m*m/m**(2/15))/(m*(((m*m**0/m*m*m*m)/m)/m)/m)**41) assuming m is positive. m**(11087/265) Simplify ((d**(-6)/d*d*d**(2/15))/(d*d/(d*d*d*d**(-6))*d*d*d**(-1/4)))/((d**5*d)/(d/(d/(d/(d/(d**5/d)))))*d*d**(1/4)*d/d**(-2/11)*d*d*d) assuming d is positive. d**(-3308/165) Simplify ((b/(b*b**(2/3)/b*b))/b*b*b)**(-19)*b**(-2/5)*b**(1/2)*(((b**2*b)/b)/b*b**(-1/4))/(b**0)**(-19) assuming b is positive. b**(-329/60) Simplify ((b**(-4)/b**(-7/4))/(b**(3/10)/(b/((b**(2/9)/b)/b*b))))**(-43) assuming b is positive. b**(5977/180) Simplify ((p**0*p*p)/p)/p*p**(2/17)*(p**(3/7)*p)/p*p*p**5*((p/((p/(p*p**(4/3)))/p))/(p**(-4/7)*p))**(6/5) assuming p is positive. p**(5969/595) Simplify ((h**(-13/3))**(15/2)/(h*(h**6*h)/h)**(1/3))**(-23) assuming h is positive. h**(4807/6) Simplify (c*c/(c*c**0))**(-33)/(c**(5/4)*c**(-1/11))*(c/c**(-4)*c**(2/11))/((c/((c/(c/(c**(2/15)/c))*c)/c*c))/(c*c*c/c**(-1/6))) assuming c is positive. c**(-5869/220) Simplify ((u/(u/(u/(u/u**(-1/3)))))**41/((u*u/(u/(u*u/(u*u/u**(-16)))))/u**(-7)))**(1/19) assuming u is positive. u**(-17/57) Simplify ((o*(o*o**7*o)/o*o**6)/(o**7*o**(-1/4)*o))/((o**(1/3)/(o*o**(-4/3)))/((o/o**(2/23))/(o/(o*(o**(2/3)/o)/o*o)))) assuming o is positive. o**(659/92) Simplify s**7*s**(2/7)*(s**1)**(-2/37)*s**(2/9)/s**4*s*s**(-1/3)/s*s/(s*s*s/(s/s**(-2/7))*s) assuming s is positive. s**(3278/2331) Simplify d**(-3)/(d/d**30)*(d**21)**(7/3) assuming d is positive. d**75 Simplify (((c**(-8/9)/c**(-4))**(-2/7))**1)**(-8/5) assuming c is positive. c**(64/45) Simplify f/f**(-7)*f*f**1/f*(f*f**(-1/2))**(7/3)*f**(-2/7)/(f*(f/f**(-6))/f)*f**(-1/4)*f*f**(5/6) assuming f is positive. f**(125/28) Simplify ((v*v**5*v)/(v*v/(v*v**(-1/3))))**24*((v**(3/2)*v)/(v*v/(v*v**1*v)))**(-15/2) assuming v is positive. v**(439/4) Simplify (c*c/(c**(-2/3)*c))**(1/50)*(c**(-2/9))**(-1/7)*(c**(2/11))**(-30)*c/c**(-5)*c**(2/11) assuming c is positive. c**(5491/6930) Simplify f**4*f*f**(-7)*f*f*f**1*f**(2/9)*f*(f*f**(-2/3))/(f/(f*f*f**4*f))*((f/(f**0/f)*f*f)/f*f)**(-30) assuming f is positive. f**(-1003/9) Simplify (((m/(m/m**(6/7))*m/(m**6*m))**(-3/10))**(-23))**(-1/14) assuming m is positive. m**(621/245) Simplify ((u**4*u/((((u*u**(-11/6))/u*u*u)/u)/u))/((u/(((u*u*u*u/((u/(u/(u**(1/14)*u)))/u))/u)/u))/(u/u**(-28))))**(-36) assuming u is positive. u**(-9264/7) Simplify (t**(-2/13)*t*t**(-3/4))/(t*t/(t/t**(2/7))*t)**(1/38)*(t*t**(-2/7)*t)**46*t**(1/5)*t**(-1) assuming t is positive. t**(2700461/34580) Simplify ((s**(-14)*s**(-8/5)/s)/(s**(-16)*s*s*s/s**(-11)))**(-2/125) assuming s is positive. s**(146/625) Simplify ((n*n**(2/17))/n*n*(n/(n/(n/n**(-27))))/n*n)/(((n*n**(-15/2)/n)/n)/((n**(2/11)/n)/n*n)) assuming n is positive. n**(13763/374) Simplify ((o**(-2/5))**30*(o/(o/((o*o/(o/((o*o*o/(o*o/(o*o**(-1)))*o)/o)*o*o*o))/o)*o))/o**(-4))/((o**(-2/3)*o**(-1/7))/(o**0)**(-3/13)) assuming o is positive. o**(-214/21) Simplify ((d**(-7)/d)/d*d*d)/(d*d**(-4))*d**(-1/6)*d**(2/7)*(d/(d*d**(-1/5)))/(d/(d*d/(d*d**1/d))*d)*(d/d**(2/5))**25 assuming d is positive. d**(2167/210) Simplify ((x**(-2/7))**(1/9)*x*x**3*x**(-3))/(x/x**(-1/15)*x*x**0)**(-23) assuming x is positive. x**(15278/315) Simplify ((w**(-3/2)*w*(((w*w/(w*w/(w/w**(-20)*w*w)))/w*w*w)/w)/w)/(w*w**(2/9)*w**(1/4)))**39 assuming w is positive. w**(9373/12) Simplify ((b**(-5)/((b/((b**(1/6)/b*b)/b))/b))/(b**(-5)*b*b/(b/(b*b**(-1/3))*b*b)))/(b**(2/21)/b**(-2))**20 assuming b is positive. b**(-1781/42) Simplify (b*b/(b/((b/(b*b**(-10)))/b))*b**(-2/13))**(3/10)*(b**1/b**(-1))/((b*(b*(b*(b/(b/b**(-3/11)))/b)/b)/b)/(b**(2/17)/b)) assuming b is positive. b**(52804/12155) Simplify ((k**(-11)*k)/k**(-1/5)*(k*k**23/k)**(-46))**(-2/135) assuming k is positive. k**(10678/675) Simplify ((w/w**1*w)/(w/w**(-1/3)))**45*(w/w**(-5)*w*w/(w/w**1))/(w**(-3/2)*w*w*w/(w/w**4*w)) assuming w is positive. w**(-21/2) Simplify (b**(-5
{ "pile_set_name": "DM Mathematics" }
0/8). Let i be 2/(-4)*(5 - 5). Suppose i*c - 16 = -d*c. What are the prime factors of c? 2 Let s = 8 - 2. Suppose 0 = 3*q - 5*a - 55, 3*a = q - s*q + 35. Suppose -q*c = -6*c - 20. What are the prime factors of c? 5 Suppose 4*t - 3 = 5. Suppose -t = 4*g - 2*g. Let b = g - -12. List the prime factors of b. 11 Let k be ((-4)/3 - -1)/((-18)/3510). Suppose -2*j + k + 64 = r, -2*r = -3*j + 176. What are the prime factors of j? 2, 31 Suppose 2*z - 273 - 2837 = -5*i, -7729 = -5*z - i. List the prime factors of z. 3, 5, 103 Let v(p) = p**3 - 4*p**2 + 8*p - 10. Let o be v(3). Suppose -3*j + 581 = -3*a + 2*a, -3*j - o*a = -587. List the prime factors of j. 2, 97 Let n = -9 - -12. Suppose 21 = -n*o - 5*t - 18, -4*o = -t + 29. Let h(x) = -x**3 - 8*x**2 + 3. List the prime factors of h(o). 3 Let s be (-1)/(-3)*(-75)/(-5). Suppose -2*i - 4*d = -0*i - 276, i - 138 = -s*d. List the prime factors of i. 2, 3, 23 Let g(c) = 6*c**2 + 175*c - 72. What are the prime factors of g(-30)? 2, 3, 13 Let h(r) = -19*r + 173. What are the prime factors of h(2)? 3, 5 Let q(m) = -m - 4. Let d be q(8). Let r = -17 - d. Let u(o) = o**3 + 5*o**2 - 6*o + 5. List the prime factors of u(r). 5, 7 Suppose 0 = 3*m - v - 3*v - 1122, m - 373 = v. Let k = -263 + m. List the prime factors of k. 107 Let q be -4*(22/(-77) - 26/7). Suppose -45 = 7*u - q*u. List the prime factors of u. 5 Let w(j) = 117*j - 186. What are the prime factors of w(6)? 2, 3, 43 Let x = 171 + -105. Let t = -254 + x. What are the prime factors of (0 + -2)/(8/t)? 47 Let i be ((-2)/(-6))/((-5)/45). Let k be 2/4 - i/(-2). List the prime factors of 1/k + (-54)/(-2). 2, 13 Let n = -202 - -313. List the prime factors of n. 3, 37 Let j(o) = o + 9. Let d be j(-6). Suppose -20 = -4*n - y, -d = -2*n + y + 7. List the prime factors of n. 5 Let g(d) = -d**3 + 2*d**2 + 4*d + 6. Let z be g(-3). What are the prime factors of (198/27)/(2/z)? 11, 13 Suppose 1419 + 1971 = 6*r. What are the prime factors of r? 5, 113 Suppose 0 = -8*w + 3*w - 75. Let x(q) = -q**3 - 15*q**2 - 5*q - 19. Let z be x(w). Let o = z - 25. What are the prime factors of o? 31 Let l = -712 - -2536. What are the prime factors of (-5)/2*l/(-120)? 2, 19 Let m(p) = -p + 40. Suppose 22*s = 20*s. What are the prime factors of m(s)? 2, 5 What are the prime factors of (2 - 1) + (8 - -738)? 3, 83 Suppose -7 = -5*a - 2*t, -t - 13 = a + 3*t. Suppose 2 = a*s - 1. Suppose u - 4 = -s. List the prime factors of u. 3 Suppose -4*i = 2*k + 22, -15 = -6*k + 3*k. What are the prime factors of (2/10)/(i/(-280))? 7 Let u = 455 - -300. What are the prime factors of u/45 - (-2)/9? 17 Suppose -5*u = -4248 - 312. List the prime factors of u. 2, 3, 19 Let z(q) = -2 - 2 - 7 + 6*q + 1. List the prime factors of z(6). 2, 13 What are the prime factors of 2832/8 + 3 + -4? 353 Suppose 0 = 3*m - 43 + 22. Let z(y) = y**3 - 5*y**2 - 8*y + 16. List the prime factors of z(m). 2, 29 Let f(n) = 725*n - 1. Let x be f(1). Let l = -671 + 685. List the prime factors of x/l - 10/(-35). 2, 13 Suppose -917 = -8*y + 3251. What are the prime factors of y? 521 Let l(x) = -x**3 - x**2 + x + 1. Let h be l(0). Let f be h + -2 - (4 - 4). What are the prime factors of f + 1 + 23/1? 23 Suppose 2*z = 0, z + 24 = 4*u - 4*z. Suppose -4*i + u*i = -2. What are the prime factors of 7 + (1/i)/1? 2, 3 Let f = 4452 + -2902. What are the prime factors of f? 2, 5, 31 Let v(l) = -6*l - 3. Let s be v(-3). Let u = s + 49. List the prime factors of u. 2 Suppose -9378 = -15*b + 792. List the prime factors of b. 2, 3, 113 Let z be (18/27)/(2/36). Suppose -3*r = 3*v - 0*r + z, 4*v - 8 = 2*r. Suppose -4*m + 40 = -v*m. What are the prime factors of m? 2, 5 Let b be (-375)/(-30)*(-8)/(-5). What are the prime factors of ((-16)/b)/((-2)/105)? 2, 3, 7 Let a be (-12)/(-18) + 3/((-18)/(-8)). Let j(q) = 6*q**2 - 3*q. List the prime factors of j(a). 2, 3 Suppose 22 - 7 = 5*u. Let n(x) = -x**2 + 3*x - 1. Let v be n(u). Let z(a) = -16*a**3 + a**2 - 1. List the prime factors of z(v). 2 Suppose 15*q - 1275 = -10*q. What are the prime factors of q? 3, 17 Suppose p + 5*g = 4922, 6*p - 4*g + 3*g = 29625. List the prime factors of p. 4937 Suppose 34 = 3*u - 4*r, -5*r = -u - 2*r + 13. Let f be 34/u + (-2)/5. Suppose q - 2*q + 160 = f*z, 5*q - 228 = -4*z. List the prime factors of z. 2, 13 Let n be (-8)/14 + 24/42. Suppose n = -6*m + 27*m - 6720. List the prime factors of m. 2, 5 List the prime factors of ((-152)/4)/(6 - 272/45). 3, 5, 19 Let z be 1 + -8 + 71 - (-2)/2. Let s = z - -13. What are the prime factors of s? 2, 3, 13 Suppose -2*f = 3*d + d - 94, 4*d + f - 95 = 0. Suppose 0 = 23*v - d*v + 39. What are the prime factors of v? 3, 13 Suppose -248 = -4*r - 3*w, 5*w - 80 - 168 = -4*r. What are the prime factors of r? 2, 31 List the prime factors of (95/15)/(((-8)/6)/(-4)). 19 Let k(l) = -l**2 - 4*l + 14. Let g be k(-6). List the prime factors of 77*(-4 + (g - -3)). 7, 11 Let s = -7 + 10. Suppose s*d + 3*d = 468. List the prime factors of d. 2, 3, 13 Let u(p) = 5*p**2 + 88*p + 98. Let o be u(-18). Let f = -27 + -68. Let w = o + f. What are the prime factors of w? 3, 13 Suppose 3*j - 6 = j. Let q = j - -5. Let i = q + 2. What are the prime factors of i? 2, 5 Let t = 389 + 149. List the prime factors of t. 2, 269 Suppose -v - 2*o = -4*v + 29, -2*o = 8. Let p(y) = 7*y**2 - 2*y + 3*y + 2*y + y - y**3 - 4. What are the prime factors of p(v)? 2, 3 Let q = 25 + -33. Let y be (5 + 35)/(4/q). Let v = -19 - y. What are the prime factors of v? 61 What are the prime factors of ((-170)/90 - -2) + (-827)/(-9)? 2, 23 Let t be (135/(-12))/((-3)/(-12)). Let p = 80 + t. What are the prime factors of p? 5, 7 Let c be ((-2)/(-4)*0)/(6 + -5). Suppose 3*q - 185 - 64 = c. List the prime factors of q. 83 Let u be (-6*3/(-12))/(4/8). Let w = u + 80. What are the prime factors of w? 83 Let a = 160 - 121. List the prime factors of ((-26)/a)/(4/(-834)). 139 List the prime factors of (-302 + -1)*(-70)/35. 2, 3, 101 Let r = 618 - -250. List the prime factors of r. 2, 7, 31 Suppose 0 = -127*x + 130*x - 1488. What are the prime factors of x? 2, 31 Let f(u) = u**2 + 7*u + 2. Let j(r) = r**2 + 3*r - 11. Let x be j(-6). List the prime factors of f(x). 2, 5 Let t(n) = 56*n - 44. List the prime factors of t(15). 2, 199 Let q be 0/3 + 30*3. Let u = 39 + -34. Suppose u*n - 2*n = q. What are the prime factors of n? 2, 3, 5 Let p = -429 + 777. What are the prime factors of p? 2, 3, 29 Let k be (1*(8 + -5))/(6/4). Let g(w) = -w + 6. Let a be g(6). Suppose -k*n + 0*n + 6 = a. List the prime factors of n. 3 Let p = 10 + -4. Let k be 16/p*36/8. List the prime factors of (k/16)/((-1)/(-12)). 3 Let q = 70 + -49. Let r = q + -18. Suppose -r*m + 17 + 1 = 0. What are the prime factors of m? 2, 3 Suppose 96*b - 88*b - 13072 = 0. What are the prime factors of b? 2, 19, 43 Let u(t) = t**3 + 2*t**2 - t + 1009. What are the prime factors of u(0)? 1009 List the prime factors of ((-1)/(21/(-14)))/((-2)/(-3867)). 1289 Let s = -174 - -35. Let j = -79 - s. List the prime factors of j. 2, 3, 5 Let x = -7 - -18. Suppose x = 5*q + 1. Suppose -2*u = q*o - 70, -3*u + 0*o + 115 = 5*o. What are the prime factors of u? 2, 3, 5 List the prime factors of -4 + 1151/5 + 3/(-15). 2, 113 Let f be (-203)/(-29) + 2/(-1). Suppose -2*q + 102 = -v, -2 = -3*v + 2*v. Suppose -q = g - f*g. What are the prime factors of g? 13 Let x(j) = j**2 + 13*j - 22. What are the prime factors of x(-17)? 2, 23 Let g(i) = -39*i + 528. What are the prime factors of g(6)? 2, 3, 7 Suppose 4*q - 127 = -11. Let b = -85 - -157. Let z = b - q. List the prime factors of z. 43 Let d(l) be the second derivative of 29*l**3/3 + 2*l**2 - 8*l. Let i be d(4). Suppose -99 = -2*m + 3*q, -q + i = 5*m + 3*q. List the prime factors of m. 2, 3 Let m be ((-13)/(-2))/((-3)/(-6)). Let q = 15 - m. Suppose 0 = -q*h - h - 3*v + 15, -5 = -5*v. List the prime factors of h. 2 Let u(o) = -o. Let p(s) = -12*s - 2. Let a(l) = -p(l) - 2*u(l). Let c be a(6). Let f = c + -55. List the prime factors of f. 31 Suppose 429 = 3*s - 5*l, -4*l - 232 = -2*s + 56. What are the prime factors of s? 2, 3, 23 Let x = -8 - -3. Let b = 7 - x. List the prime factors of b. 2, 3 Let q = -10 - -19. Let b be 1/((-6)/q + 1). Suppose -b*c - 52 = -7*c. List the prime factors of c. 13 Let s be (8/10)/(
{ "pile_set_name": "DM Mathematics" }
False Let o(k) = 2*k**2 + 2. Let n(f) = f**3 - 25*f**2 - 2*f + 124. Let v(h) = -n(h) - 2*o(h). Does 22 divide v(18)? True Suppose 416 = 5*n + 4*i, -3*i + 70 = 202*n - 201*n. Is n a multiple of 4? True Suppose 0 = 10*x + 9 - 49. Is 6 a factor of (-84 - 0)/((-1)/x*1)? True Let z(m) = -2*m**2 - 56*m - 12. Let c be z(-9). Let x = c + 1719. Is 11 a factor of x? False Let m(b) = 4 + 47 - 5 + 11*b. Is m(-3) a multiple of 5? False Let b(w) be the third derivative of 0*w - 1/60*w**5 + 0 - 3/4*w**4 - 4*w**2 - 1/6*w**3. Does 23 divide b(-13)? False Let i(r) = -r**3 - 17*r**2 - r - 15. Let l be i(-17). Suppose 5*c - 2*c - l*w = 20, 0 = 2*c - w - 15. Is c a multiple of 5? True Let p(b) be the second derivative of 3*b**5/10 + b**4/6 + b**3/6 + 15*b**2/2 - 5*b - 7. Is 19 a factor of p(4)? False Let c(i) = -36*i**3 + 4*i**2 - 21*i - 13. Is c(-5) a multiple of 41? False Let s(u) be the third derivative of -u**4/2 - 5*u**3/3 + 19*u**2. Let k be s(-9). Does 32 divide (-2 - -1 - 1)/((-4)/k)? False Let t be (3/5)/((9 - 5)/120). Is 33 a factor of 2/12 + 4641/t + -4? False Suppose 11*g = 13*g - 12. Suppose -g*n = -5*n + 2*j - 54, -5*j + 104 = 2*n. Is n a multiple of 17? False Suppose 2212 - 56 = 7*d. Suppose d = t + j - 3*j, -4*t - 3*j = -1254. Does 34 divide t? False Let b = 44516 + -17860. Does 14 divide b? True Let x(h) = -66*h**3 + 11*h + 33. Is 13 a factor of x(-5)? False Let l be (-91)/(-42) + 1/(-6). Let r be ((-344)/(-20) - 2)/(l/5). Let u = 160 - r. Does 23 divide u? False Let k(o) = 16*o**3 - 8*o**2 - 4*o - 11. Is k(6) a multiple of 40? False Let i = 119 + -14. Let m = -15 + i. Does 10 divide m? True Let f(i) = -4*i**3 + 19*i**2 - 11*i + 6. Let r be f(4). Is 32 + 4 + r + -8 a multiple of 3? False Suppose 1327736 = -2529*w + 2588*w. Is 29 a factor of w? True Let r(o) = 337*o + 12227. Is 189 a factor of r(158)? False Let a = 318 + 1369. Suppose 4*u - a = -3*u. Does 30 divide u? False Let w(u) = 21*u**2 + 54*u - 341. Is 4 a factor of w(6)? False Let h = 630 + -271. Is 41/164 - h/(-4) a multiple of 5? True Let d be (13/3 + -4)/(1/12). Let b(a) = a**2 - 10*a + 30. Let z be b(d). Suppose 69 = z*g - 117. Is 2 a factor of g? False Let u(h) = -39*h + 93. Suppose -35 = 13*x - 6*x. Is 18 a factor of u(x)? True Suppose -7*v + 4*v = -21. Suppose 6*q - 6*q + v*q = 0. Suppose -5*l - 29 + 99 = q. Is l even? True Let s = 2196 - -10354. Is 57 a factor of s? False Let o(b) = -277*b + 161. Let z be o(-9). Suppose 4*k - z = -5*p, 0 = -5*k + 25*p - 26*p + 3307. Is 41 a factor of k? False Suppose 188 = 4*n + 5*s - 4113, 5*n - 3*s = 5404. Is n a multiple of 53? False Is (1846/39 + -6)*99 a multiple of 6? True Let n(u) = u**3 + 5*u**2 + 2*u + 8. Let o be n(-5). Let a be ((-7)/5 + o/(-5))/1. Is 8 a factor of (-11)/5*(a + -4)? False Suppose -5*q = 5*h - 90915, 3137 = h - 3*q - 15074. Is h a multiple of 107? True Is 94 a factor of 7144/(((-2)/5)/(19 + 576/(-30)))? True Let a(b) be the third derivative of b**6/120 - b**5/12 - b**4/3 - 13*b**3/3 - 44*b**2. Does 31 divide a(10)? False Suppose -5*h = -4*z - 40, z - 4*z = 0. Suppose 760 = 11*q + h*q. Is q a multiple of 20? True Is 69 a factor of (-6993)/12*39/((-624)/448)? False Does 119 divide (-120)/(-16)*(-20)/(-25) - -6180? False Let h(v) = 135*v - 88. Let b = 608 + -602. Does 38 divide h(b)? True Suppose -9*m - 41784 = -11*m + 6*f, 0 = 2*m - 4*f - 41786. Is m a multiple of 35? True Let p(l) = 4*l**2 + 12*l + 10. Suppose -5*k = j + 23, 6*k + 5*j + 35 = k. Let c be p(k). Suppose 3*u - 37 - 48 = -2*a, u - c = -3*a. Does 22 divide u? False Let o(p) be the first derivative of -p**4/4 - 3*p**2/2 - 7*p + 29. Is o(-6) a multiple of 29? False Let q(x) = 8*x - 9. Let r be q(8). Suppose r + 57 = 4*d. Is d a multiple of 14? True Suppose -4*n = -3*f - 76, -n = n + 4. Let l = 28 + f. Suppose -3 = -h, l = -2*q - h + 6*h + 13. Does 7 divide q? True Let m(q) = 29*q - 238. Let b(f) = -7*f + 60. Let u(w) = -9*b(w) - 2*m(w). Is u(19) a multiple of 31? True Let c(y) = 0*y - 4554 + 4469 + 41*y. Is 57 a factor of c(31)? False Let x(j) be the second derivative of -2/3*j**3 + 55*j**2 + 37*j + 0. Does 10 divide x(0)? True Let x = 706 - 666. Suppose 18183 = -11*b + x*b. Is 18 a factor of b? False Let f = -327 + 304. Is (480/9)/(f/(-207)) a multiple of 20? True Let g(h) = 42*h - 9. Let q be 4/18 - (-671)/99. Suppose -5*a - 4 = -q*a. Does 17 divide g(a)? False Suppose -3*c = -2*d + 21, 4 = 4*d - 3*c - 29. Suppose d*y - 2450 = 988. Does 24 divide y? False Suppose 2299*r - 768 = 2287*r. Is r a multiple of 4? True Let f be ((-10)/25 + 0)*-4535. Suppose 17*m = f + 3983. Does 11 divide m? True Let u = -4960 + 6764. Is u a multiple of 11? True Let m(r) = -4*r**3 - 14*r**2 - 11*r - 21. Let o(z) = -z**3 - 14 - 13*z - 15*z**2 - 4*z**3 - 8. Let q(n) = -4*m(n) + 3*o(n). Does 11 divide q(-8)? False Suppose 2*l + 8*s = 8578, 3*s - 27334 = -5*l - 5821. Is 7 a factor of l? True Let z(g) = 149*g - 404. Does 10 divide z(19)? False Let g = -958 + 1770. Let s(j) = -2*j**3 - 2*j**2 - 8*j + 8. Let k be s(-7). Suppose 0 = 5*v - a - g, 2*v + 2*v - 2*a = k. Does 9 divide v? True Let v(u) = 41*u**2 + 2*u - 4. Let m be v(5). Suppose 9*z - m = 994. Does 45 divide z? True Let r(z) = 2*z**2 + 2*z - 40. Let x be r(-5). Suppose 3 - 5 = l, -2*g - 5*l + 242 = x. Does 29 divide g? False Let a(q) = 2*q - 2. Let l be a(-4). Let c(o) = 23*o. Let m(p) = 75*p + 27. Let v(u) = 3*c(u) - m(u). Is v(l) a multiple of 11? True Let r = -5262 - -7395. Does 60 divide r? False Let v(k) = k**2 + 16*k - 534. Let x be v(-31). Let b = 232 - 155. Let y = b - x. Is y a multiple of 11? False Let n(d) = d**2 - 8*d + 512. Let f(j) = -j - 1. Let a be f(-1). Is 4 a factor of n(a)? True Suppose 104*v = 132*v - 32006 + 1514. Is v even? False Is (15 - (-25 - -10))/((-2)/(-8)) a multiple of 2? True Let g(s) = s**3 + 9*s**2 - 8*s + 18. Let p be g(-10). Is (-3)/p*(-752)/(-6) a multiple of 58? False Suppose -210*o + 12 = -212*o, -2*o = q - 22675. Does 49 divide q? True Suppose -134*c + 129233 + 25939 = 0. Is 13 a factor of c? False Let m(o) = 233*o**2 + 8*o + 66. Is m(-4) a multiple of 59? False Suppose -4*u + 108868 = 4*c, -42*c + 3*u - 108867 = -46*c. Is 28 a factor of c? True Let v = -48 + 76. Suppose -v*d + 33*d = 7570. Suppose -16*k = 170 - d. Is 7 a factor of k? True Suppose -2*p = 75 + 45. Let n = -21 - p. Is n a multiple of 39? True Let j be (-9)/(((-60)/(-70))/(8/7)). Is ((-18)/j - -7)*164 a multiple of 41? True Let c(p) = p**3 + 6*p**2 + 12*p + 19. Let i be c(-4). Suppose z + 6*d - 7*d - 29 = 0, 0 = 4*z + i*d - 151. Is z a multiple of 24? False Suppose -3873 = 5*a - 6*a + 3*t, a + t - 3857 = 0. Does 39 divide a? True Let i(x) = 5*x**2 - 187*x + 502. Does 8 divide i(-42)? True Suppose 18*f - 3255 = 13*f. Let y = -287 + f. Does 13 divide y? True Suppose -156*b + 417293 = 119333. Is b a multiple of 10? True Let k(t) = -2905*t**3 + 11*t**2 + 14*t - 2. Does 77 divide k(-2)? True Is 5076 - (-34 - (-31 - -19)) a multiple of 12? False Let c be ((-54)/15)/((-3)/(-10)). Let n = c + 15. Suppose -n*m + 129 = -261. Does 17 divide m? False Let s = 3309 - -74. Is s a multiple of 22? False Suppose 19*y + 19069 = 80473 + 50620. Is y a multiple of 5? False Suppose 12*t - 7640 = -440. Suppose 22*r - 12*r - t = 0. Is r a multiple of 3? True Suppose -4*j + 26465 = -5*v, 3*j - 4*v - 23139 + 3291 = 0. Suppose 0 = 9*k + 545 - j. Does 9 divide k? True Suppose -5*d + m + 1865 - 77 = 0, 5*m = -4*d + 1413. Does 7 divide d? True Suppose -2*v = -12*b + 16*b - 11170, -4*b + 4*v + 11140 = 0. Does 30 divide b? True Let v(w) = -274*w - 5208. Is v(-36) a multiple of 16? True Does 24 divide 3*(-47 + 3)*(-8)/2? True Let i = -5 + 3. Let z be (-3)/i + 51/34. Suppose -2*w - z*w = -70. Does 3 divide w? False Let w be 5 + -9 - -52*1. Let f = -29 + 17. Let r = w - f. Does 10 divide r? True Is 7 a factor of (-173049)/(-111) - (1 + 4)? True Suppose 0*w + w = 54. Suppose 0 = 3*i + 9*f - 14*f - 204, 6*f = 4*i - 276. Let m = i - w. Does 8 divide m? True Let v(h) = -5*h - 150. Let r be v(-31). Suppose -3705 = -r*u - 0*u - 3*a, u + a - 743 = 0. Is u a multiple of 41? True Let g(o) = 293*o**3 - 17*o - 77. Is g(5) a multiple of 140? False Let c(u) be the second derivative of u**4/12 - 2*u**3/3 + u**2 + 19*u. Let m be c(10). Let b = m + -33. Is 24 a factor of b? F
{ "pile_set_name": "DM Mathematics" }
. 8 Let g(v) = v**2 + 3*v - 6. Calculate g(-5). 4 Let d(w) = -2*w - 33. Determine d(-19). 5 Let u(r) = -6*r + 72. What is u(16)? -24 Let w(y) = y**2 + 8*y + 2. Determine w(-7). -5 Let o(u) = -u**3 - 2*u**2 - 8*u - 6. Calculate o(-3). 27 Let d(q) = 3*q**3 - 14*q**2 - 2*q + 6. Give d(5). 21 Let y(t) = -t**2 + 4*t - 5. Give y(6). -17 Let d(k) = -5*k + 10. Give d(-13). 75 Let m(q) = 15*q**2 + 1. Determine m(-1). 16 Let q(m) = -2*m**2 - 21*m - 2. Calculate q(-10). 8 Let j(a) = -a**2 + 13*a - 11. What is j(10)? 19 Let z(d) = d - 7. Determine z(12). 5 Let i(y) = y - 1. Determine i(0). -1 Let q(j) = -11*j**2 + 6*j - 6. What is q(2)? -38 Let j(y) = -2*y**3 + 40*y**2 - 38*y - 6. Determine j(19). -6 Let l(p) = -3*p**2 + 16*p + 28. Determine l(6). 16 Let n(g) = -g**2 + g + 45. Give n(8). -11 Let b(v) = -v**2 - 19*v + 18. Determine b(-20). -2 Let g(w) = -10*w**2 - 51*w + 7. Determine g(-5). 12 Let b(a) = a**2 + 8*a + 17. What is b(-2)? 5 Let o(h) = -3*h - 66. Give o(0). -66 Let u(y) = -y**2 - 20*y - 39. Determine u(-18). -3 Let n(c) = -6*c + 2. Give n(-3). 20 Let k(l) = -2*l**3 - 15*l**2 + 7*l - 4. What is k(-8)? 4 Let d(j) = j**3 + 37*j**2 + 39*j + 115. Calculate d(-36). 7 Let j(z) = z**3 - 10*z**2 - z + 10. Calculate j(10). 0 Let p(u) = -10*u**3 - 2*u**2 + 3*u - 1. Determine p(1). -10 Let d(x) = -4*x + 6. Determine d(7). -22 Let i(x) = -18*x**2 + 11*x + 5. Calculate i(4). -239 Let k(r) = r**2 - 13*r + 13. Calculate k(12). 1 Let w(s) = 9*s + 17. Give w(-3). -10 Let v(y) = 36*y**3 - y**2. Calculate v(1). 35 Let u(b) = b**2 + 5*b + 2. What is u(-5)? 2 Let m(d) = -d**3 - 34*d**2 + 72*d - 9. What is m(-36)? -9 Let k(p) = p**3 - 14*p**2 - 15*p - 9. Calculate k(15). -9 Let k(y) = y**3 + 13*y**2 + 11*y - 15. Calculate k(-12). -3 Let b(p) = -2*p**2 + 31*p + 15. Determine b(16). -1 Let i(f) = -f**3 - f**2 - 2*f - 4. Give i(-3). 20 Let p(h) = 16*h + 3. Calculate p(1). 19 Let p(s) = -2*s**2 + 4*s - 6. What is p(-4)? -54 Let m(u) = u**3 + 9*u**2 - u - 3. Calculate m(-9). 6 Let o(u) = -5*u**2 - 3*u + 1. What is o(-4)? -67 Let t(b) = b**2 - 7*b + 13. Give t(10). 43 Let s(j) = -j - 14. Determine s(-5). -9 Let u(z) = z**2 + 11*z + 35. Determine u(-7). 7 Let v(i) = 8*i + 1. Determine v(2). 17 Let i(b) = 4*b**3 + 2*b**2 + 10*b + 3. What is i(-3)? -117 Let q(b) = b + 9. Calculate q(-3). 6 Let f(d) = d + 1. Determine f(-2). -1 Let d(v) = 2*v**2 + 6*v + 16. Determine d(-12). 232 Let g(n) = n**3 + 6*n - 4. Determine g(2). 16 Let z(n) = n - 17. What is z(9)? -8 Let u(x) = x**3 + 13*x**2 - 71. What is u(-13)? -71 Let z(j) = -17*j + 2. Determine z(-1). 19 Let w(k) = k + 11. Calculate w(-9). 2 Let i(q) = -q**3 - 2*q + 1. Give i(-2). 13 Let y(g) = 25*g + 27. Give y(-1). 2 Let z(v) = 23*v**2 - 2*v. Calculate z(-1). 25 Let g(k) = k**3 + 10*k**2 - 11*k + 7. Calculate g(-11). 7 Let s(v) = -v**2 - 9*v - 14. What is s(-12)? -50 Let o(t) = t**3 + 9*t**2 - 15*t - 17. Determine o(-10). 33 Let q(f) = -6*f**3. Determine q(1). -6 Let l(b) = b**3 - b**2 - 2*b - 2. Determine l(0). -2 Let y(r) = -4*r**2 - 3*r - 3. Give y(-2). -13 Let y(u) = 13*u**2 - 106*u + 14. Give y(8). -2 Let p(d) = d. Calculate p(0). 0 Let f(c) = -2*c**3 - 2*c**2 + 3. Calculate f(-2). 11 Let t(m) = 7*m**2 - 7*m + 4. Give t(2). 18 Let j(k) = 21*k**3 - 1. Give j(1). 20 Let k(y) = y**3 - 7*y**2 + 4*y + 9. Determine k(5). -21 Let f(i) = 5*i + 8. What is f(-3)? -7 Let t(q) = 2*q**3 + 5*q**2 - 4*q - 6. Give t(-4). -38 Let j(n) = n**3 - 6*n - 33. Give j(6). 147 Let z(q) = -q**3 + 9*q**2 + 13*q + 3. Give z(10). 33 Let z(d) = -d**3 - 13*d**2 - 8*d + 29. Give z(-12). -19 Let p(g) = -g + 11. What is p(6)? 5 Let m(q) = -6*q + 32. Determine m(5). 2 Let d(n) = 2*n**3 - 2*n**2 - 3*n + 5. Give d(2). 7 Let t(w) = -3*w + 8. What is t(5)? -7 Let s(y) = 16*y - 153. Determine s(7). -41 Let s(l) = 7*l + 76. What is s(-14)? -22 Let w(o) = o**3 - 8*o**2 + o - 3. Calculate w(8). 5 Let m(c) = -2*c + 4. Give m(-5). 14 Let g(s) = 36*s + 119. Determine g(-3). 11 Let i(z) = -5*z - 12. Calculate i(-4). 8 Let o(k) = -k**3 + 6*k**2 - 2*k + 2. Determine o(3). 23 Let g(j) = 3*j - 18. Determine g(12). 18 Let q(n) = n**3 + 10*n**2 + 7*n + 5. Determine q(-10). -65 Let c(w) = -w**3 + 4*w**2 + 4*w - 2. Calculate c(4). 14 Let m(y) = 2*y**2 - 9*y - 8. Give m(7). 27 Let v(m) = m - 4. Calculate v(-13). -17 Let h(g) = g**2 + 13*g + 12. Determine h(-14). 26 Let v(g) = -2*g**3 - 2*g**2 + 8*g + 3. Calculate v(2). -5 Let p(r) = 2*r + 8. Calculate p(-9). -10 Let g(b) = b**3 - 12*b**2 + 38*b - 14. What is g(6)? -2 Let h(u) = u**2 - u. Determine h(2). 2 Let n(x) = 26*x**2 + 259*x - 2. What is n(-10)? 8 Let p(d) = d + 11. Calculate p(10). 21 Let v(f) = 2*f**3 - 17*f**2 + 9*f - 12. Determine v(8). -4 Let d(w) = w**3 + 11*w**2 - 10*w + 10. What is d(-12)? -14 Let o(q) = -2*q + 4. Determine o(-2). 8 Let x(d) = -d**3 - 13*d**2 - 11*d + 5. Calculate x(-12). -7 Let c(z) = -z**3 - 17*z**2 + 18*z - 5. Calculate c(-18). -5 Let c(w) = -2*w + 58. Calculate c(30). -2 Let g(p) = 29*p + 4. What is g(1)? 33 Let b(q) = -q - 5. Give b(7). -12 Let d(c) = -18*c - 544. What is d(-29)? -22 Let i(c) = -7*c**2 - 2. What is i(2)? -30 Let z(l) = l**2 + 8*l + 10. Calculate z(-7). 3 Let j(a) = a**3 - 2*a**2 - 2*a + 2. Calculate j(0). 2 Let k(p) = 5*p + 12. Give k(-2). 2 Let u(d) = -d**2 - 13*d - 31. Determine u(-5). 9 Let s(k) = -k**2 - 2*k + 84. Determine s(8). 4 Let z(d) = -2*d**2 - 3*d + 13. Calculate z(-3). 4 Let p(y) = -y**3 + 3*y + 3. Calculate p(3). -15 Let l(y) = -96*y**2 - 4*y - 4. What is l(-1)? -96 Let z(u) = -8*u**2 + 94*u + 10. Give z(12). -14 Let i(g) = g**2 - 14*g + 33. Calculate i(11). 0 Let p(a) = a**3 - 11*a**2 - 17*a + 28. Determine p(12). -32 Let d(r) = -3*r**2 + 3*r + 1. Give d(-2). -17 Let r(l) = 12*l - 207. Determine r(17). -3 Let c(r) = r**2 + 17*r - 19. What is c(-18)? -1 Let y(t) = 16*t - 5. Determine y(5). 75 Let p(u) = 2*u**2 + 5*u + 4. What is p(-3)? 7 Let d(h) = -3*h - 11. Calculate d(-4). 1 Let m(g) = -39*g**3 + g - 1. Calculate m(1). -39 Let w(g) = -g**2 - 9*g. What is w(-5)? 20 Let y(w) = w**2 - 8*w + 2. Give y(4). -14 Let s(a) = 2*a**3 - 3*a**2 - 2*a - 2. Give s(3). 19 Let x(q) = -q**2 + 9*q + 19. Calculate x(9). 19 Let m(g) = 26*g**3 + g**2 + g. Calculate m(-1). -26 Let j(k) = -k**3 - 3*k**2 - 2*k - 4. Give j(0). -4 Let d(s) = -s**3 + 9*s**2 - 10*s - 54. What is d(5)? -4 Let s(d) = d - 5. Determine s(4). -1 Let m(j) = -101*j**2 + 1. Give m(-1). -100 Let s(c) = -c**3 + 11*c**2 - 14*c + 16. What is s(7)? 114 Let l(o) = 5*o - 48. Give l(8). -8 Let t(s) = -13*s**2 - 2*s. Calculate t(-3). -111 Let k(f) = -2*f**2 + 10*f - 12. What is k(6)? -24 Let l(i) = 17*i + 5. Determine l(-5). -80 Let r(d) = -38*d**3 + d**2 - d - 3. Calculate r(-1). 37 Let f(b) = -b**2 - 15*b + 8. Determine f(-16). -8 Let j(y) = -y**3 - 12*y**2 - 21*y - 12. What is j(-10)? -2 Let v(f) = f**3 - 9*f**2 + 6*f + 3. Give v(8). -13 Let d(h) = 2*h + 11. What is d(-5)? 1 Let y(x) = -x**3 - 56*x**2 - 104*x + 218. Determine y(-54). 2 Let l(m) = 2*m**3 + 4*m**2 - 29*m - 3. Determine l(-5). -8 Let a(h) = -2*h**3 - 10*h**2 + 3*h - 50. Give a(-6). 4 Let w(a) = -a**2 - 4*a. Determine w(-4). 0 Let z(j) = -9*j + 1. Calculate z(1). -8 Let t(h) = h**2 + 8*h - 10. What is t(4)? 38 Let j(y) = y**3 + 13*y**2 + 13*y + 10. Determine j(-12). -2 Let r(x) = 2*x**3 + 10*x**2 + 6*x + 21. Give r(-5). -9 Let z(a) = -a**3 - 6*a**2 - 3*a - 23. Determine z(-6). -5 Let k(q) = 3*q**3 - q**2 - 10*q + 7. What is k(2)? 7 Let h(p) = p**3 - 10*p**2 - 11*p + 13. Give h(11). 13 Let k(u) = 5*u**2 - 4*u + 2. What is k(2)? 14 Let d(u) = u**2 + 6*u - 8. Determine d(6). 64 Let b(q) = 3*q**2 + 2*q - 7. What is b(2)? 9 Let w(b) = 10*b**3 - b**2 + 2*b + 2. Give w(-1). -11 Let k(u) = u**3 + 11*u**2 + 6*u. Calculate k(-5). 120 Let l(i) = -19*i + 34. Determine l(-2). 72 Let c(z) = z**2 + 23. Determine c(0). 23 Let v(o) = o - 39. Calculate v(3). -36 Let p(u) = u**3 + 4*u**2 - 8*u - 5. Give p(-5). 10 Let t(v) = 17*v + 1. Calculate t(5). 86 Let o(r) = -5*r - 168. What is o(-31)? -13 Let f(x) = x**2 + 40*x - 386. Give f(8). -2 Let g(n) = -12*n + 5. What is g(1)? -7 Let b(c) = 3*c - 7. What is b(1)? -4 Let i(j) = j**3 + 11*j**2 + 27*j - 8. What is i(-4)? -4 Let o(m) = -14*m - 12. Determine o(-1). 2 Let z(v) = -41*v**3 + v**2. Give z(1). -40 Let w(j) = j**3
{ "pile_set_name": "DM Mathematics" }
908704649. -38.91908704649 What is -450205408 plus -77.227? -450205485.227 Total of -3068.12 and -4296844. -4299912.12 What is 12807818 - -14026? 12821844 What is 0.0051457388309 less than -1? -1.0051457388309 -0.398998 - 16208238 -16208238.398998 0.64614+12740.504 12741.15014 Calculate 191.6172 - 612.649. -421.0318 -5472 + 14377.374 8905.374 Calculate 1833259 - -15203447. 17036706 What is -1440 + -19329883? -19331323 What is the distance between -48361982596 and 0? 48361982596 Work out 0.335919 - 0.1049321. 0.2309869 Add together 8954 and 373186. 382140 -1028383570.16+6 -1028383564.16 0.089 - 81101.5538 -81101.4648 -2577741.0262 + 0.05 -2577740.9762 Put together -15543508 and 131. -15543377 Total of -0.29444 and -8306863. -8306863.29444 What is the difference between 862826.328547 and -0.12? 862826.448547 What is -83 + 5218734460? 5218734377 What is -2633.207432 plus -15920? -18553.207432 What is the distance between -254.9592242 and 297.76? 552.7192242 Work out 161.88310371 + -312. -150.11689629 What is 0.0947646447 minus -0.2? 0.2947646447 What is -0.17 take away 20385748460? -20385748460.17 Put together -69016143999 and -0.3. -69016143999.3 What is the distance between -9.2 and 0.08322931896? 9.28322931896 Add together 930135367765 and 49. 930135367814 Calculate -31.83 + 9089811346. 9089811314.17 What is -21 plus -375000192972? -375000192993 Put together -3.9602887868 and -0.14. -4.1002887868 Work out -3034.8014143 - -0.274. -3034.5274143 Calculate 244039 - 12207095. -11963056 -10.93434 - -1919765 1919754.06566 What is -215389599109 less than -11? 215389599098 Work out -0.1 + 158692.3633881. 158692.2633881 -5.17+-48550900243 -48550900248.17 What is 1697759682 plus -0.053079? 1697759681.946921 What is 87908 - -2.4097? 87910.4097 Subtract -1897 from -215787224. -215785327 674394 - 993876 -319482 What is 1.998414433 - 12252? -12250.001585567 What is the difference between 0.5 and 4560877765? 4560877764.5 Subtract 44.5457 from -53309.9. -53354.4457 7068279.5 - -1084980 8153259.5 Calculate -331630.97 - 8.57349. -331639.54349 Add together -48.934166 and -198359. -198407.934166 What is 142.3875332 - -37.6? 179.9875332 What is 112760 take away 277009.5? -164249.5 What is 7683 plus -1814.049053? 5868.950947 Calculate 10843 + 1194.8733. 12037.8733 Put together -837150054.1965 and 5. -837150049.1965 Work out 2176699787 + -118. 2176699669 What is 190.49928 minus -0.0402529? 190.5395329 What is -384 minus 11156751140.2? -11156751524.2 Sum -7311.31505 and -0.0406. -7311.35565 Sum 0 and -52263.5776184. -52263.5776184 What is the distance between 4.02239 and 5724817? 5724812.97761 Total of 222445.48 and -349. 222096.48 -0.13528 - 36046.3756 -36046.51088 What is -267590897141 less than -0.9? 267590897140.1 What is 2203.2 less than -1361947581? -1361949784.2 What is -998760.039 - -2079? -996681.039 What is 17035 minus 76231062? -76214027 What is the distance between -178 and 209043971.3201? 209044149.3201 What is the difference between 127414689 and -129242? 127543931 What is the difference between -0.194781 and -4.337047? 4.142266 104341489152+2 104341489154 What is -0.045 take away -0.2108572088? 0.1658572088 What is 1.70849524251 less than 0.0208? -1.68769524251 Work out 0.03853834973 - 0.198. -0.15946165027 Work out -8081461524.21 - 0.02. -8081461524.23 What is the distance between 20.5 and 1027000.484? 1026979.984 Total of -892352052620777 and -0.4. -892352052620777.4 What is the difference between -1165571605 and -0.02907? 1165571604.97093 Add 61586.9393583 and -6.4. 61580.5393583 What is 1619906651.77 plus -0.06? 1619906651.71 -3.847713111 + -0.036 -3.883713111 Add -457.64688066567 and 5. -452.64688066567 What is the difference between -1627 and -3479732? 3478105 Add -118.48 and -8620151. -8620269.48 Calculate 4176.11743 + -28.088. 4148.02943 Total of -65385 and 4354688. 4289303 Add together 0.5 and 288069542160. 288069542160.5 Work out 14976132 + 107905. 15084037 What is 34.7 minus 211748363654? -211748363619.3 Subtract 2.09 from 10.20263172. 8.11263172 What is -1154746 - -1202026? 47280 Sum -18836.186019108 and 12. -18824.186019108 Sum -55 and -732411.1751. -732466.1751 -97+-10688.9293 -10785.9293 Put together -2397194.2 and 67.891. -2397126.309 What is -995925.706 - 57296? -1053221.706 -0.718 - -0.294533917 -0.423466083 What is the distance between 8.7 and -14947639690? 14947639698.7 Total of -573414474486 and 0.0161. -573414474485.9839 Sum 15 and 11448219542.6. 11448219557.6 Subtract 0.14 from -1010289465.6. -1010289465.74 Add together -92.739 and -0.1720054. -92.9110054 What is 78184.93926725 - 0? 78184.93926725 What is 1198 minus 459405015198? -459405014000 Calculate -9.5802118 + -951. -960.5802118 Total of 0.3 and -65.07034474382. -64.77034474382 Put together -329455050.75 and -551. -329455601.75 Subtract 0.3 from 0.81760774699394. 0.51760774699394 -338071.92938 + 2 -338069.92938 -2.9+-525711889.47 -525711892.37 What is -0.102334 take away 1190559580? -1190559580.102334 What is -0.6517439 + 874259? 874258.3482561 Work out 5298 + -640465.8. -635167.8 What is the distance between -0.079897779 and 1069? 1069.079897779 -10.1+40980418.192 40980408.092 Subtract -6.2611 from -135479134. -135479127.7389 Put together 1047273319 and 1951. 1047275270 What is -241519386754 + 0.7? -241519386753.3 Work out 5064 - 107116305. -107111241 Work out 1.182 + 105792915. 105792916.182 Sum -0.53 and -6229338831. -6229338831.53 What is 77.97 take away 2057698520? -2057698442.03 Calculate 25.4329 + 18.2298848. 43.6627848 Add together -3481813405.1 and -0.7. -3481813405.8 0.3 + 172.69562097615 172.99562097615 Sum 4408 and -17788566.9. -17784158.9 What is -1709163 take away -15335.9774? -1693827.0226 What is -15.277517496 minus 0.103? -15.380517496 What is the difference between -35.81433 and -97647901? 97647865.18567 -3 - 5846423311 -5846423314 Add 0.3118 and -152952363. -152952362.6882 Put together 9 and -58854405843. -58854405834 440.5 + -0.052281866 440.447718134 -265099058986 - 13.9 -265099058999.9 -0.3 - -11641679079973.4 11641679079973.1 Total of 483 and -2.13284703564. 480.86715296436 Add -254.1849712065 and 0.1. -254.0849712065 Subtract 9591257235 from 4507. -9591252728 Subtract 14.329396 from 436386. 436371.670604 What is -2 + 1053325756298? 1053325756296 -178353493.2376 - -0.4 -178353492.8376 Calculate -0.1305340491 - -0.059. -0.0715340491 What is -388144 take away -121821.8? -266322.2 70249.3 + -18924.01 51325.29 What is -51.885311 less than -0.00766? 51.877651 Calculate 114770 - -57356950. 57471720 Put together -18 and 2906.254709. 2888.254709 What is the distance between -8 and -6750.4269917? 6742.4269917 -0.177164961+-201788 -201788.177164961 What is the distance between 174154278429 and 1.3? 174154278427.7 What is -269.4 minus -85681984712? 85681984442.6 -11696130753+-3 -11696130756 What is 17162867 + -901.44? 17161965.56 What is -500 plus 1280557322? 1280556822 What is the distance between 8779464453 and 1.209? 8779464451.791 Total of -34 and -550.8770791457. -584.8770791457 Sum -0.188 and 777800613. 777800612.812 -36882739 - -22761 -36859978 What is the difference between -27770556993 and 73.69? 27770557066.69 Sum -1.5 and -1.2748601574. -2.7748601574 216.819989 - 3.4119 213.408089 What is -295220727 - 161507? -295382234 Sum 60557.1956802 and -4. 60553.1956802 Calculate 426 - 5.665585222. 420.334414778 What is the distance between -66374846.632 and -5? 66374841.632 56.386943+0.2826 56.669543 Put together 1.9 and 2105187176657. 2105187176658.9 -262780581271+-0.52 -262780581271.52 Sum 80.414501 and 767.7. 848.114501 What is 77.6 + -672.96484489? -595.36484489 What is 11639 minus -15974735? 15986374 Put together 136 and 43764.49205763. 43900.49205763 What is -1978.91 take away -74.6349208? -1904.2750792 Work out -7517907 - -1660223. -5857684 Add 6576794 and -23334. 6553460 Sum 1518 and 415317256. 415318774 What is -15007931 + -6512? -15014443 Add 31 and -11688607612. -11688607581 -62897978951112+0.2 -62897978951111.8 Calculate -1359840327806 - 4. -1359840327810 What is 627624.68558 minus -1.7? 627626.38558 Sum -2.37 and 140400831162. 140400831159.63 Put together 1890212 and 8.82534. 1890220.82534 Work out -0.39 + 54933524266. 54933524265.61 Total of 5
{ "pile_set_name": "DM Mathematics" }
-1). Let b = -50 - c. Solve 20 = 3*z - b*z for z. -5 Let n = -1428 + 1509. Solve -79*t = -n*t - 2 for t. -1 Let v(n) = 3*n**2 + 59*n + 107. Let x(z) = -z**2 - 20*z - 36. Let g(p) = 3*v(p) + 8*x(p). Let b be g(-15). Let t be (4 - b)/(-1) + 4. Solve -t = l - 2*l for l. 3 Let j = 112 - 108. Let r be (-2)/(-8) - ((-335)/20 - -5). Suppose -r = m - 0*m - 3*d, -20 = -5*m - 5*d. Solve m = -s - j*s for s. 0 Let p be 2 - -1 - (-31 - -31)/((-6)/1). Solve -8*f - f = -p*f for f. 0 Let t(d) = d**3 - 18*d**2 + 22*d - 33. Let f be t(17). Let s = f - 76. Let w be ((-2)/(-8))/(3 + 66/s). Solve -g - 4 = w for g. -5 Suppose 2*k = 9 + 31. Suppose 0 = k*m - 14*m - 24. Suppose -5*v + m = -4*v. Solve 5 - v = -f for f. -1 Suppose -151 + 89 = -31*r. Solve r*w + 0*w = 20*w for w. 0 Let m(o) = o. Let g be m(3). Let n be g/(-6) - 44/(-8). Suppose l = 3*i, n*l = -4*i + 7*i + 12. Solve l = 2*z + z for z. 1 Let s = -1348 + 1354. Let p = 3 - -5. Let j be (s*p/(-12))/(-2). Solve -2 - j = 4*i for i. -1 Let n = 4 + -2. Suppose -8*y - 22 = -38. Let i be -6 - ((-8)/y + -2). Solve i*p + n = -2*p for p. -1 Suppose -950 - 798 = -38*s. Solve s*x = 49*x + 21 for x. -7 Let h = 2966 + -2952. Solve -h*c - 31 + 31 = 0 for c. 0 Let s(f) = f**2 - 4*f + 4. Let o be s(4). Let q = -138 - -150. Solve -o = 4*y + q for y. -4 Let i = 2778 + -2737. Solve 8 + i = -49*m for m. -1 Let k(m) = 3*m + 6. Let v be k(-1). Let z be ((2 - -9) + -5)/v. Solve -z = -3*l + 13 for l. 5 Let b(f) be the second derivative of f**4/12 - 11*f**3/6 + 6*f**2 + f - 42. Let q be b(11). Solve 3*z + 3 - q = 0 for z. 3 Suppose -9*z - 32 = -y - 8*z, -y + 32 = z. Suppose -y = -11*t + 3*t. Solve t + 11 = 5*r for r. 3 Suppose -455 = 38*p - 1595. Let u be ((-15)/(-15))/(2/p). Solve -u = -4*l + 1 for l. 4 Let t = 5558 + -5543. Let x(a) = -2*a - 9*a**2 + 6*a**2 - a**3 + 7*a**2 - 2. Let g be x(2). Solve -7*d = -g*d + t for d. -3 Suppose 3*n + 2*r = 5, -3*r + 6*r = 3*n - 15. Let h be 5/(-10) - -1*5/2. Suppose -h*b + t - 4 = -5*b, 3*b + 2*t - 8 = 0. Solve b = n*w + 2*w - 25 for w. 5 Let q be (8/10)/(-3 + (-47)/(-15)). Let w(v) be the first derivative of v**2 - 10*v + 5. Let t be w(q). Solve -10 = 2*x - t for x. -4 Let x be (0/(-2))/(82 + -84). Suppose x = 6*u - 0 - 0. Solve -5*h - 18 + 8 = u for h. -2 Let v be ((-2)/(-2))/(-19 - (-51632)/2716). Solve -1 + v = -16*c for c. -6 Let d be (286/(-715))/(0 - 4/10). Solve 47*m + d = 48 for m. 1 Let q = 29 + -26. Let t(j) = -2*j**q + 4*j - 10*j + 4*j + j + 2*j**2. Let b be t(-2). Solve 5*l - b = -11 for l. 3 Suppose -6 = 4*x + 3*u, -4*u + 3*u - 2 = 2*x. Suppose 3*k = v - 18 + 2, 3*v - 33 = 4*k. Let a be (-3 - (-4 - -8 - v))*1. Solve x = 5*o - a*o - 25 for o. 5 Suppose 29*l - 25*l = -3*p + 35, 0 = -2*l - 3*p + 13. Solve -11 = 28*v - l for v. 0 Let d be 66/9*((-171)/38 - -6). Solve 0 = -d*q + 14 - 36 for q. -2 Suppose -167*v - 597 - 3099 = -200*v. Solve v*q + 10 = 117*q for q. 2 Let c(u) = -u**2 - 87*u + 1653. Let k be c(-103). Solve -k*a - 214 = -204 for a. -2 Suppose -5*z - 715 = 2*g, -g = -z - 2 - 134. Let n = z - -149. Solve -2*k + 6 - n = 0 for k. -1 Let k = 3082 + -3062. Suppose -3*l - a + 0*a + 65 = 0, -l + a + 15 = 0. Solve k*m = 15*m - l for m. -4 Suppose 3*n - 50 = -2*u, -219*u + 215*u = 5*n - 80. Let m(j) = j**3 - 3*j**2 - 10*j + 4. Let o be m(5). Solve -x - n = o*x for x. -4 Suppose 0 = 2*w - 2*c + 40, 3*c = w + 4*c + 12. Suppose 4*i - 113 = -7*o + 2*o, 2*i - 64 = -4*o. Let j = i + w. Solve 5*n = -1 + j for n. 1 Suppose 2*n = -8 - 8. Let w(h) = 6*h**2 + 13*h + 162. Let u be w(-8). Let v be 2/n + (u/8)/13. Solve -3*b - 19 = -v for b. -5 Let y(n) = 5*n**2. Let p be y(-1). Let h = 424538 - 424524. Solve 0 = -p*q + h + 6 for q. 4 Suppose -3*i + 4*x + 0*x + 118 = 0, i + 4*x = 18. Suppose -10*w + 6 = -i. Solve -10 = -w*b + 2 for b. 3 Let d(f) = -14*f**2 - 10*f. Let w be d(-1). Let b be ((-14)/(-2))/(w - -5). Solve 3*p + b = 22 for p. 5 Let z = -45 + 69. Suppose f = 2*q - 7*q + z, 57 = 5*f + 4*q. Solve 7*j - 2 = f*j for j. -1 Let k(g) = 416*g + 2502. Let i be k(-6). Solve i*v = 40*v + 204 for v. -6 Let z be (-3 + 5 - 5 - -18) + 3. Suppose -z*u + 54 = -36. Let h(d) = -d + 22. Let q be h(0). Solve 3 = u*c - q for c. 5 Let u be (-5 - (-1 + -2))*80/(-19 + 3). Solve u*m = 120 - 50 for m. 7 Let d = -4243 + 4251. Solve d*m = 107 - 67 for m. 5 Let t = 324 - 324. Suppose 0 = -3*o - t*o + 18. Solve -o - 2 = 2*y for y. -4 Suppose -320 = -27*j + 139. Solve -j*c - 25 = -12*c for c. -5 Let m = 10370 - 10361. Solve m*r + 49 - 58 = 0 for r. 1 Let b = -62 + 66. Suppose 4*x = b*y + 8, 0*y - 2*y = -4*x + 10. Suppose 0 = x*m + 2*s - 38, 2*s = 3*m - 2*m - 10. Solve -d + m = -4*d for d. -4 Let w(n) = 13*n**2 - 26*n + 29. Let i(g) = -11*g**2 + 24*g - 30. Let m(s) = 6*i(s) + 5*w(s). Let j be m(5). Solve o + j = 3*o for o. 5 Let k(y) be the first derivative of -1 + 0*y + 1/3*y**3 + y**2. Let n be k(-2). Solve 3 = -n*p + p for p. 3 Let b(j) = -21*j + 113. Let k be b(5). Solve -k*g - 89 = -65 for g. -3 Let t(u) = 2*u**2 - 60*u + 522. Let v be t(19). Solve 0 = -v*p + 83*p - 105 for p. -5 Suppose 118 = 3*a - 2*d, 122*d = -a + 125*d + 51. Solve -a = 3*p - 42 for p. 2 Let y(f) = -f**3 + 9*f**2 - f + 12. Let s be y(9). Suppose 0 = -i - n - 1, -3*n = 8*i - 13*i + 19. Solve s*u - i = u for u. 1 Let l(j) be the third derivative of 39*j**2 + 3/20*j**5 + 4/3*j**3 + 0*j - 1/120*j**6 + 0*j**4 + 0. Let b be l(9). Solve b = -s + 5 for s. -3 Let t(h) = -2*h**3 + 5*h**2 - 11*h + 37. Let d be t(3). Let c(y) = 45*y + 227. Let q be c(d). Solve 6 = x + q*x for x. 2 Let c = -159 - -289. Suppose -2*j + c = -7*j. Let s = j - -28. Solve s*v + 11 - 1 = 0 for v. -5 Let j(u) be the second derivative of u**4/12 + u**3/3 - 23*u**2/2 - 14*u. Let o be j(0). Let k = o + 27. Solve -k*y + y = 6 for y. -2 Let r be (264/(-10))/(1/(-5)). Let z = 132 - r. Solve -3*n + z + 3 = 0 for n. 1 Let v(r) = r**2 + 7*r - 3. Let s be v(-9). Let y(i) = i**3 - 15*i**2 + 2*i + 3. Let q be y(s). Let u = 33 - q. Solve -2*o + u*o - 2 = 0 for o. -1 Let k = 437 - 432. Let o be 13 + (0 + -4 - k). Solve t - o = -2 for t. 2 Let h(j) = 2*j**3 - 4*j**2 - j. Let b be h(3). Let k(m) = -m**3 + 15*m**2 + 19. Let y be k(b). Solve -g - 18 + y = 0 for g. 1 Let s(f) = -f**2 - 6*f - 5. Let g(a) = -138*a**2 - 3*a - 10 - 9*a + 136*a**2. Let q(r) = 3*g(r) - 5*s(r). Let k be q(-3). Solve 0 = 9*h - k*h - 10 for h. 2 Let g(x) = 2*x + 42. Let s be g(-19). Suppose s*k - 25 = -3*z, 5*z - 4*z = 3. Solve k*c = -11 - 9 for c. -5 Let l be (5/(-10) - -1)*(1 + -1). Suppose 5*w + l*z = 5*z, -w - 4*z = 0. Let o(g) = -2*g**2 + 2*g + 1. Let n be o(w). Solve n = -p - 1 for p. -2 Suppose -15 = -2*c + 3*c + 5*v, -3*v = 3*c + 9. Let x(s) = s**2 + 2*s + 33. Let q be x(c). Suppose q = 5*u + 3. Solve 0 = -u*o + o + 20 for o. 4 Let b be (-57600)/(-5700) - (-2)/19*-1. Solve -b*x = -349 + 339 for x. 1 Let z(b) = -534*b - 487. Let q be z(-1). Solve q*y = 16*y for y. 0 Let r(q) = 391*q - 8208. Let c be r(21). Solve 6 - 12 = -c*n for n. 2 Suppose -9*m - 8*m + 6689 = -2066. Solve 43*x = -60*x - m for x. -5 Suppose 8*v + 204 + 132 = 0. Suppose 2*c + 10 = 4*l, 3*c - 4*l = -19 + 4. Let q be c/(-6) + -1 - 595/v. Solve -q + 2 = -3*h for h. 4 Let w(f) = -23*f**2 - 31 - 4*f**3 + 30*f**2 - 8*f + 5*f**3. Let k be w(-7). Solve 6*t - k = t for t. 5 Suppose -2*x + 0*x = -6. Let w be (3 - 22/4)*12/(-10). Suppose -7*t + 6*t - 5*p = -27, w*t - 31 = -5*p. Solve -t*b = -x*b + 4 for b. 4 Let x = 11362 + -11357. Solve x*c + 5 + 15 = 0 for c. -4 Suppose 2*z = 3*w - 61, w + 5*z - 15 = 3*z. Suppose -w = -4*p + 2*t + 7, -5*p - 5*t = -25. Suppose -14 = -5*c + p. Solve f = -c*f for f. 0 Suppose 0 = 4*o + 4*v + 56, -16 = -o + 3*v + 2*v. Let h be o*1/(-9)*-3. Let z be 6*((-9)/3)/h. Solve -z = 4*t - 2*t for t. -3 Let d be 2/13*-2*91/126*-9. Solve -1696 = d*u - 1692 for u. -2 Suppose -o + 5*g + 17 + 302 = 0, -3 = -3*g. Solve -o = 2*a - 324 for a. 0 Let d be (-102)/357 - (-8)/28. Suppose 3 = -3*l + 6*l. Suppose -3*v = -a - 12, -l - 5 = -v + a. Solve -v*o - o = d for o. 0 Suppose -172 = -3*a - 154. Solve -a*q - 78 + 84 = 0 for q. 1 Let u(q) = 199*q + 10487. Let l be u(-52). Solve -15*c = 49 - l for c. 6 Suppose 104 = 11*g - 94. Suppose -g*n - 6*n + 4*n = 0. Solve n = -8*u - u for u. 0 Let a = 12 + -9. Let j be 40*(15/(-6) + 1 - -3). Let v = -47 +
{ "pile_set_name": "DM Mathematics" }
e 7*y - 2*y = c*r, 4*y = -2*r - x for y. -3 Let y(v) = -v + 35. Let i(f) = 2*f - 3*f + 52 - 2*f + 2*f. Let d(s) = -5*i(s) + 8*y(s). Let p be d(6). Solve -c - 13 = 3*u - 5, 3*c - p*u = 9 for c. 1 Let c(v) = 29 + 43 - 72 + 12*v + 38. Let o be c(-3). Solve 4*m - o*q = 0, 5*q - 5 = -3*m + 4*q for m. 1 Let t be 1590/100 + 7 + (-1)/(-10). Suppose -200 = -p - 3*p. Let v = p - t. Solve -4*m + 26 = -5*n - 5*m, 2*m + v = -5*n for n. -5 Suppose -5*t = z - 9, -2*z + 0*z - 3*t = -32. Let j be (5/(-3))/((-8)/24). Suppose z = j*u - 6. Solve u*b - 1 + 21 = -5*g, -b = -3*g for b. -3 Suppose 15 = 3*g - 0. Let w(k) = 58*k**3 + k**2 + k + 1. Let o be w(-1). Let l = o - -75. Solve 3*y = -0*r + 4*r - 3, g*y - l = -r for y. 3 Let p(t) = 24*t - 239. Let v be p(11). Solve v = 5*g, -2*s + s = -5*g + 27 for s. -2 Let n = -6916 + 6920. Solve -8 = -2*y + n*v, -y = v - 2*v - 1 for y. -2 Let n(h) = 3*h**2 + 9*h + 3. Let i be n(0). Solve -5*b - 9 = -2*d, -17 = -d - i*b - 18 for d. 2 Let d be (-23598)/(-1881) + (12/11)/(-2). Solve 0 = 119*o - 116*o + 5*x + 12, -2*x = 3*o + d for o. -4 Let c = -5 + 11. Suppose -22 = -c*k + 5*k. Let t = -20 + k. Solve -t*j + 15 = u, 0 = -2*u + 2*j + 3*j - 15 for u. 5 Suppose 514554*w - 514568*w + 28 = 0. Solve -b + 2 = 0, 6*b - w*b - 16 = 2*z for z. -4 Let g(l) = 3*l - 20. Let u be g(7). Let j(x) = -u + 0*x + x - 22. Let i be j(25). Solve i + 3 = 2*y - 5*p, 2*p = -y + 7 for y. 5 Let a be (8 + -7)*13 + -2 + 1. Suppose -10*q + 6*q - 3*v + a = 0, -4*v + 9 = 3*q. Solve q*h - 4*h + 2*s - 5 = 0, 5*h + 25 = -5*s for h. -5 Let z be 343/91 - (-24)/104. Solve 5*l + q = -28, -11*q - 16 = z*l - 7*q for l. -6 Let c(s) = -5*s + 23. Let o be c(5). Let f be ((-54)/(-18))/((-3)/o). Solve -f = -4*p + 3*q, -2*p - 5*q + 4 = -10 for p. 2 Suppose -4*a + 3*a = -5*t + 200, 5*a + 120 = 3*t. Suppose -5*j - t = -4*w - j, -12 = -w - j. Solve 0 = u - 0*z - 4*z + 7, 2*z - w = 3*u for u. -3 Suppose 2*q = -0*q - n + 5, -2*n + 2 = 2*q. Let a = 641 + -629. Suppose -11*v + 5*v = -a. Solve v*x + 3*g + q = 0, -g - 4 = 2*x - 2*g for x. -2 Let z(s) = -5*s + 85. Let h be z(17). Suppose 2*x - 3*d - 12 - 13 = h, x = -3*d + 35. Solve 2*m - 5*b = -16 - 7, 5*b = 5*m + x for m. 1 Suppose 12*f + 1008 = -2040. Let i = f - -258. Solve -3*c = -i*z + 15, -2*c + 7*c = -2*z + 1 for c. -1 Suppose 2*q + 6 = q - 2*l, 0 = -q + 5*l + 29. Let g be 1/((-2 + -3)/(-40)). Suppose 17*p = g*p + 108. Solve 0*h = -3*u + 5*h - p, -4 = u + q*h for u. -4 Suppose -57*k = 12*k + 114*k - 915. Solve 5*l - 3*r - 35 = -0*r, -k*r - 5 = 5*l for l. 4 Suppose -2*z + 5*l + 259 = 0, -4*l - 221 - 171 = -3*z. Let y = z - 127. Solve y*i + 18 = 2*n, -2*n - 7*i = -2*i + 22 for n. -1 Suppose 4 = -37*b - 38*b + 77*b. Solve -4*n + b*f + 8 = 0, 33 - 13 = -4*n - 5*f for n. 0 Suppose 0 = 26*x - 121 + 69. Solve 5*i - x*y - 5 = 8*i, -5*y = -2*i + 22 for i. 1 Let p(r) = r**3 + 2 + 3 - 7*r**2 - 1. Let q be p(7). Suppose 8*z + 0*z - 171 = -49*z. Solve q*a + 20 = -a, -z*i + a = 5 for i. -3 Suppose n = -3, 2*n - 3 = 3*b - 21. Suppose -f = 3, -2*i = -3*f + b*f - 7. Solve 2*j + 4*c - i*c = 5, c - 7 = -j for j. 4 Suppose -3*u - 93 = -3*x, 11*x - 52 = 7*x - 4*u. Solve -v - 36*h - 7 = -33*h, -x = -2*v + 3*h for v. 5 Let o = 544 + -502. Suppose -228 = -18*k + o. Let m(j) = -j + 33. Let h be m(0). Solve -5*d + h = i + i, -5*i = -d - k for d. 5 Suppose 7470*v - 7483*v + 23 + 29 = 0. Solve 22 = -m - v*t, -2*m - 17*t + 19*t = -6 for m. -2 Suppose -18 = -4*z - 287*n + 286*n, 0 = -z + 2*n + 9. Solve -4*b = -z*b - 5, 4*q - 4*b = 8 for q. -3 Let a(l) = -l**2 + 8*l - 27. Let c be a(8). Let m(f) = -f**3 - 24*f**2 + 83*f + 59. Let u be m(c). Solve -2*j + 14 = 3*x, -3*x - 8 = -u*x - j for x. 2 Let u(t) = 5*t - 7. Let b be u(2). Suppose -b*d = 3*o - 3, -2*o + 7*o - 3*d = 37. Solve 2*g = o*x - 15, 2*x = -g + x - 4 for g. -5 Suppose -75*a = -39*a - 108. Solve -4*l - a*q - 21 + 22 = 0, 3*q = 5*l - 8 for l. 1 Suppose -m + 49 = 19. Let d be (2 - 10/6)/(m/360). Solve h + 3*s + 8 = 0, 0 = -5*s + s - d for h. -5 Let l(u) = -2*u**3 + 34*u**2 + 34*u + 39. Let i be l(18). Solve -3*g + 4*a - 1 = 0, 4*g = i*g - 3*a + 17 for g. 5 Suppose -3*s - 3*z - 44 = -59, z = -1. Solve 0 = 3*k + s, 0 = 5*j - 6*j - 5*k - 9 for j. 1 Let k be (208/104 + (-5)/3)*15. Solve r + 2*c + 5 = 0, r + 4 = 4*c + k for r. -3 Suppose 9*c + 66 = -1374. Let b = -160 - c. Solve a - 22 = 3*a + 4*l, b = -a + 5*l + 24 for a. -1 Suppose -3*j + 21 = 5*k, -6*j + 4 = 2*k - 7*j. Suppose 0 = -4*y + 4*z + 1 + 3, -k*z = 4*y - 11. Solve 0*r = y*p + 5*r + 33, 2*p = -3*r - 23 for p. -4 Suppose 2*o - 19*i = -22*i - 18, -6 = i. Solve o = 3*l + 2*s - 0*s + 10, -4*l - s - 5 = 0 for l. 0 Let j be 4*1 + (-12 - -18). Let i be 1 - (-3)/(6/(-14)). Let m = i + j. Solve 4*k + m = 2*k - 3*y, -6 = 3*y for k. 1 Let u(y) = -5*y - 15. Let f be u(-4). Let h be 1*(-5 + f - -4). Suppose -21 = -h*k + 35. Solve -4*b = 16, 3*m + b = -b - k for m. -2 Let k = 3 + 0. Suppose -w + 0*w = -k*w. Suppose w = 5*j + 3*q - 23, -5*q + 21 = 2*j + 2*j. Solve -j*x + 8 = 2*l - 0*l, 5*l + 4*x = -4 for l. -4 Let k be (4/(1 + 0))/(1 + 0). Let o be (16/(-28))/(k/(-42)). Solve -4*u + 5*u = w - o, 0 = -5*w - 3*u + 14 for w. 4 Let h(r) = -r + 15 - r - 2*r**2 + 3*r**2 - 5*r. Let q be h(5). Suppose 3 = 3*p - 3. Solve -3 = -b + q*o, 1 - p = o for b. -2 Suppose -2*l + 364 = 2*l. Suppose l = -19*a + 395. Let b(v) = -4*v + 67. Let g be b(a). Solve 5*k = 2*p + 29, g*p = 2*p + k - 7 for p. -2 Suppose v = 157*t - 153*t - 12, -4*v = -3*t + 9. Solve -2*c + v*c = 8, 4*q - 3*c = 12 for q. 0 Let v(k) = k**2 - 4*k + 5. Let h be v(4). Let r = 7860 + -7857. Solve -f - 1 = -g, -h*f + 5 = -r*g + 16 for f. -4 Let c(n) = n**2 + 4*n - 9. Let z be c(-5). Let k be 1/z - 815/20. Let b = k - -46. Solve b = -r, -2*r = 5*f - r for f. 1 Let w = 11200 - 11193. Solve -6*v + 18 = 0, 0 = 3*c - w*c - v - 9 for c. -3 Let j be 7*(4 - 10/35 - 3). Let z be j/(6/(96/40)). Solve -z*p + 15 = 5*n, 2*n = -2*n - 4*p + 24 for n. 1 Suppose 14 = 9*o - 5*r - 28, 5*r + 3 = -4*o. Solve 3*y + o*u + 6 = 0, 5*y - 147*u + 6 = -148*u for y. -1 Let t = -338 - -342. Suppose t*y - 6*k = -2*k + 32, -14 = -y + 3*k. Solve x + 3 = -5*p, -2*x + 1 = -y*p - 4*x for p. -1 Suppose -2277 = 13*l - 834. Let w = l + 114. Solve w*z = 5*b - 31, 5*b - 17 + 0 = -4*z for b. 5 Suppose 0 = 2*u - 5*d - 4, 4*u + d - 8 = 2*d. Suppose -4*c + 2 = -0*z + 2*z, 2*c + 2 = u*z. Solve -2*b - 12 = -c*t + 3*t, -t = b + 4 for b. 0 Let g(i) = -102*i - 3. Let m(s) = -s**2 - 5*s + 15. Let f be m(-7). Let d be g(f). Let u = -93 - d. Solve -3*z + u = 0, -o - 4*z = -z - 9 for o. -3 Let l = -13689 - -13702. Solve 5*m + 3*a - l = -a, 4*a - 9 = -m for m. 1 Suppose 267 = 117*h - 83*h - 413. Solve -14 = 5*i - 4*g - 34, 4*g + h = -3*i for i. 0 Let b = 43 - 53. Let l be -6 - 85/b - 1/2. Solve -2*d = 2*y - l, 3*d + 1 = d - y for d. -2 Let a = -9080 - -9083. Solve -2*r = -4*g - 18, 53*g - 50*g + 9 = -a*r for g. -4 Let g be 4 - (4 - (-2)/(-1)). Let d be ((-18)/4 + g)*-2. Let m = 1229 - 1226. Solve -r + 6 = d*k + 1, -4*r + 20 = m*k for r. 5 Let j(n) = -2096*n + 123669. Let h be j(59). Let z = -1 - -5. Solve -4*b + 0*k - h*k = -36, z*b = k + 12 for b. 4 Let w be -6*3*14/(-252). Solve j = 5*f + 13, 3*j - 7*f = -11*f + w for j. 3 Suppose -2778 = -3*c + 3*b, -6*c + 4636 = -c - 3*b. Let p = -927 + c. Solve -p*x = -3*j - 4*x + 2, -3*j + 16 = -5*x for j. 2 Let l be (14/(-5))/((-28)/70). Suppose 4*q + l - 3 = 0. Let m be (2 - 3)/(q/4). Solve -3 = -2*s - 2*h - 5, -2*s + m*h = -16 for s. 2 Suppose -13*h + 307 = -161. Suppose 0 = p + h - 40. Solve j + 7 = 2*d, 0 = 2*d + 2*d - p for j. -5 Suppose 4161*l = 4153*l + 53 + 51. Solve l*a - 20 = -w + 18*a, 0 = 5*w + 2*a + 8 for w. 0 Suppose -2*d + 0*d = 2*p - 8, 0 = -3*d - 5*p + 12. Let k(u) = -6*u + 8. Let q be k(1). Solve -5*y - q*t = t - 1, t = -d*y + 5 for y. 2 Let u = -157 + 161. Let v be (u/(-5))/1*(-210)/28. Solve 2*j - p + v = 0, 0 = j - 0*j - p + 2 for j. -4 Let c be (12/(-132)*-22)/((-6)/(-15)). Solve c*h - 15 = -l + 2*l, 5*l - 15 = -5*h for h. 3 Let u(y) = -2*y**2 - 7*y - 1. Let n be u(-7). Let c = 19 + n. Let o = 37 + c. Solve -j = 2*r - o, 0 = 3*r + 5*j - j - 19 for r. 1 Let l(s) = s - 175. Let k be l(-23). Let w = k - -200. Solve -2*h + 4*t + 0*t = w, -3*h + 5*t = 5 for h. -5 Let g(r) = -2*r**2 - 9*r**2 - 6*r + 10*r**2
{ "pile_set_name": "DM Mathematics" }
3 + 9*m. Let i(o) be the second derivative of s(o). Calculate -2*i(z) - 3*v(z). -z + 3 Let o(h) = -4*h + 6. Let l(u) = 3*u - 18. Let k(f) = -2*f + 9. Let b(y) = 9*k(y) + 4*l(y). Let q = 190 - 182. What is q*o(a) - 5*b(a)? -2*a + 3 Let v(z) = 9*z**3 - 19*z + 6. Let y(q) = -18*q**3 + 39*q - 11. Determine -11*v(l) - 6*y(l). 9*l**3 - 25*l Let y = 16 - 19. Let a be -4 - ((-6)/y + -1). Let d(t) = t**3 + 7*t - 1. Let m(c) be the third derivative of c**4/24 - 4*c**2. Determine a*m(v) + d(v). v**3 + 2*v - 1 Let m(r) = -22*r - 7. Let i be m(1). Let t = 8 + i. Let z(n) = -2 - 30*n - 9 - 5 - 5. Let x(o) = 3*o + 2. What is t*x(j) - 2*z(j)? -3*j Let r(b) = 32*b + 14. Suppose 42 = -j - 2*j. Let x(y) = -37*y + 7. Let m(w) = 61*w - 8. Let z(k) = -2*m(k) - 3*x(k). Calculate j*z(p) - 5*r(p). -6*p Let n(x) = -83*x + 48. Let f(d) = -21*d + 13. Calculate 22*f(k) - 6*n(k). 36*k - 2 Let y be 5 - 6/(6 - 0). Let g(l) = l + 2. Let b(d) be the second derivative of d**3/6 + d**2 - d. Calculate y*g(j) - 5*b(j). -j - 2 Let d(m) = 25*m - 83*m + 16*m**3 + 33*m + 7 + 10*m**2 + 32*m. Let x(i) = 5*i**3 + 3*i**2 + 2*i + 2. Determine 2*d(h) - 7*x(h). -3*h**3 - h**2 Let u be (-42)/(-420) - (29/(-10) - -1). Let v(c) = 5*c**3 + 3*c. Suppose -7 + 1 = 2*a. Let k(j) = 4*j**3 - j**2 + 2*j. What is a*k(t) + u*v(t)? -2*t**3 + 3*t**2 Let c(t) = 10*t - 4. Let g(i) = -1. Suppose -98*q - 330 = -43*q. Give q*g(s) + c(s). 10*s + 2 Let h(j) = 2. Let n(a) = 36*a - 90. What is 90*h(v) + 2*n(v)? 72*v Let g(w) = 302*w**3 + 5*w - 5. Let t(r) = 3927*r**3 + 66*r - 66. Determine -66*g(f) + 5*t(f). -297*f**3 Let x(t) = 5*t - 2. Suppose 1 = g - 3. Let u(r) = 1 - g - 9*r - 14*r + 29*r. Give -4*u(h) + 5*x(h). h + 2 Let y(l) = 8*l**3 + 36*l + 3. Let m(d) = 23*d**3 + 109*d + 8. Calculate 3*m(k) - 8*y(k). 5*k**3 + 39*k Let t(h) = -2*h - 3. Let q(o) = -67093 - 7*o + 5*o + 67089. What is -2*q(n) + 3*t(n)? -2*n - 1 Let h = -61 + 58. Let j(f) = 4*f**2 - 3*f - 3. Let d(g) = -11*g**2 + 8*g + 8. Give h*d(a) - 8*j(a). a**2 Let r(f) = -f**2 - 12*f - 1. Let a(n) = -2*n**2 - 23*n - 2. Suppose 5792*k + 36 = 5786*k. Calculate k*a(q) + 11*r(q). q**2 + 6*q + 1 Let z = 120 + -80. Suppose 4*i - z = 4*t, 16 = -2*i + 6*i. Let g(k) = 7*k**3 + 6*k + 6. Let b(s) = -20*s**3 - 17*s - 17. Determine t*b(c) - 17*g(c). c**3 Let j(f) = -4*f + 3. Let q = 22 + -19. Let t(k) = -12*k. Let g(o) = -13*o - 1. Let a(l) = -5*g(l) + 6*t(l). Calculate q*a(i) - 5*j(i). -i Let y(p) = -2*p - 2. Let q(k) be the third derivative of -k**4/24 - k**3/6 + 6*k**2. Suppose 8*s + 120 - 144 = 0. What is s*y(w) - 8*q(w)? 2*w + 2 Let a(r) = 7*r + 1. Let m(p) = 7*p + 2. Let s(b) = 4*a(b) - 5*m(b). Let t(k) = 0 + 9*k - 10*k - 1. Calculate -s(c) + 6*t(c). c Let c(k) = 2*k + 4 + 1 - 3. Suppose 0 = -123*n + 58*n - 130. Let w(t) = t**2 + t + 1. Calculate n*c(d) + 2*w(d). 2*d**2 - 2*d - 2 Let h(c) = -c + 2. Let z(v) = -3. Let i(q) = -5*h(q) - 4*z(q). Suppose -77 = -21*f + 7. Let a(y) = -11*y - 4. What is f*a(r) + 9*i(r)? r + 2 Let u(f) = f**2 - f + 1. Let r = 10 + -5. Suppose -r - 11 = -4*n. Let a(x) = 2*x**2 - 4*x + 4. Calculate n*u(h) - a(h). 2*h**2 Let d(p) = 8*p**3 - 6*p**2 - 5*p + 5. Let z = 225 - 231. Let w(u) = -u**3 + u**2 + u - 1. Give z*w(q) - d(q). -2*q**3 - q + 1 Let n(r) = -13*r**3 - 7*r**2 - 28*r - 7. Let p(v) = 4*v**3 + 2*v**2 + 9*v + 2. Suppose 35 = 227*y - 232*y. Give y*p(i) - 2*n(i). -2*i**3 - 7*i Let w = 1126 + -1137. Let b(t) = 9*t - 7. Let v(j) = -5*j + 3. What is w*v(s) - 6*b(s)? s + 9 Let f(o) = -o**2 + 2*o + 2. Let h(j) = -3*j**2 + 7*j + 7. Suppose z + 29 = -4*s - 0*z, 3*z = 5*s + 32. Let g be 3/2 + (-4)/(-8). Determine g*h(a) + s*f(a). a**2 Let m(f) = -438*f**3 - 9*f**2 + 18*f + 9. Let w(h) = 2*h**3 - h**2 + 2*h + 1. What is -m(a) + 9*w(a)? 456*a**3 Let r be (-5)/((-5)/2) - 1. Let d(b) = -r - 3 + 9 - b. Let t(g) = -8 + g - 6 + 2*g. Give -17*d(x) - 6*t(x). -x - 1 Let z(j) = 3*j - 3. Let g(q) = q - 1. Give 8*g(y) - 3*z(y). -y + 1 Let h(z) = 6*z**3 + 2*z**2 - 2*z. Let o(x) = 0*x**2 + x**3 + 12*x**2 - 8*x**2 - 7*x**2 + 3*x - 6*x**3. Determine -6*h(w) - 4*o(w). -16*w**3 Let j(w) = 46*w**3 + 14*w**2 + 3. Let x(d) = 92*d**3 + 28*d**2 + 5. Calculate -5*j(p) + 3*x(p). 46*p**3 + 14*p**2 Let i be 96/(-51) - (3 + (-245)/85). Let g(m) = 11*m + 11. Let h(o) = -o - 1. What is i*g(r) - 18*h(r)? -4*r - 4 Let h(g) be the first derivative of -g**4/2 + g**3 - 3*g - 175. Let r(q) = 3*q**3 - 3*q**2 + 4. What is 4*h(s) + 3*r(s)? s**3 + 3*s**2 Let r(i) = i + 3*i + 0 + 2. Let u(n) = 3*n + 3. Let l(d) be the second derivative of -d**3/6 - 23*d. Let f(c) = -4*l(c) + u(c). Give -3*f(a) + 5*r(a). -a + 1 Suppose 42*p - 157 = 11. Let b(v) = -v**2 + v. Let c(k) = -3*k**2 + 4*k - 3. Give p*b(s) - c(s). -s**2 + 3 Let r(f) = 141*f**3 - 6*f**2 + 7. Let u(g) = -281*g**3 + 11*g**2 - 13. What is -11*r(s) - 6*u(s)? 135*s**3 + 1 Let r(y) = -15*y**3 + 7*y**2 - 7*y - 4. Let u(q) = -5*q**3 + 2*q**2 - 2*q - 1. Let l(x) = -50*x - 457. Let h be l(-9). Determine h*u(s) + 2*r(s). 5*s**3 - 1 Let b(s) = -s + 6. Let k(o) = o - 8. Give 5*b(v) + 4*k(v). -v - 2 Let u(k) = -7*k**2 - 7*k + 13. Let f(z) = z**2 + z - 2. Suppose -4*d = -4*h - 168, -4*d + 7 = -5. Determine h*f(w) - 6*u(w). 3*w**2 + 3*w Let a(l) be the second derivative of l**3 + 2*l**2 + 769*l. Let b(j) = -5*j - 4. Determine -4*a(r) - 5*b(r). r + 4 Let r(c) = -3*c**2 + 14*c - 12. Let u(y) = -y**2 + 6*y - 5. What is -2*r(l) + 5*u(l)? l**2 + 2*l - 1 Suppose 27*s - 2 - 25 = 0. Let n(q) = q**2 - q + 1. Let h(p) = 6*p**2 - 3*p + 3. Calculate s*h(j) - 3*n(j). 3*j**2 Let p(i) = i**2 + 3*i - 5. Let l(y) = 2*y**2 + 5*y - 8. Let w(x) = -3*l(x) + 5*p(x). Let r(h) = -h**2 - 11*h**2 - 2 + 4*h**2. What is r(d) - 2*w(d)? -6*d**2 Let x(u) = -2 - 9*u + 0 + 0 + 23*u. Let w be (30/(-25))/(1/10). Let k(v) = v. Let s(p) = -p. Let a(z) = -2*k(z) - s(z). Give w*a(j) - x(j). -2*j + 2 Let l(f) = 4*f**3 - f - 1. Let o(c) = 1. Let q(p) = 24*p - 167. Let d be q(7). What is d*o(z) - l(z)? -4*z**3 + z + 2 Let m(b) = -2*b**3 - 5*b - 3 + 8*b**3 - 4 - 3*b**3. Let g(d) = -d**3 + d + 1. Give -5*g(r) - m(r). 2*r**3 + 2 Let u(w) = -w. Let l(n) = -n**2 - n + 85. Calculate -l(k) + 3*u(k). k**2 - 2*k - 85 Let c(s) = -3*s**2 + 3. Let g(z) = -7*z**2 + 4. Let a(t) = 8*t**2 - 4. Let y(l) = 5*a(l) + 6*g(l). Suppose -5*k - 6 - 9 = 0. Give k*y(o) + 4*c(o). -6*o**2 Let u(b) = 7*b**3 + 243*b**2 - 5*b - 5. Let x(i) = 4*i**3 + 122*i**2 - 3*i - 3. Calculate -3*u(r) + 5*x(r). -r**3 - 119*r**2 Let y(d) be the third derivative of 1/30*d**5 + 1/8*d**4 - 2*d**2 + 0*d + 0 - 2/3*d**3. Let u(a) = a**2 + 2*a - 3. Give 3*u(s) - 2*y(s). -s**2 - 1 Let h(q) be the second derivative of -q**5/20 - q**4/3 + q**3 - 2*q**2 + q. Let u(p) = p**2 - p - 8 + 27 - 12 - 6. What is h(x) + 4*u(x)? -x**3 + 2*x Let f(t) = -3*t + 10. Let q(b) = 3*b - 12. Calculate -3*f(s) - 4*q(s). -3*s + 18 Let p(b) be the second derivative of b**3/6 - b**2/2 + 20*b. Let r(s) be the first derivative of 3*s**2 - 6*s - 3. Calculate 4*p(w) - r(w). -2*w + 2 Suppose -z = -8*h + 765, -2*h + 4*z = -h - 115. Let d(b) = -19*b**3 - 3*b - 3. Let s(x) = -608*x**3 - 95*x - 95. Determine h*d(k) - 3*s(k). 19*k**3 Let d(n) = -6*n - 19. Let z(m) = 5*m + 15. Let b(t) = 4*d(t) + 5*z(t). Let j(c) = -c. Give b(v) + 3*j(v). -2*v - 1 Let h(l) = -5*l**2 - l + 8. Let g(z) = -4*z**2 - z + 7. Let y = -263 + 267. Give y*g(k) - 3*h(k). -k**2 - k + 4 Let b(x) = 5*x. Let h(z) = -z. Let j(v) = b(v) + 4*h(v). Let r(p) = -p**3 - 49*p**2 - 4. Let k be r(-49). Let q(d) = 5*d + 2. Give k*j(s) + q(s). s + 2 Let z(q) = -27*q**3 - 28*q**2 - 7*q + 11. Let i(h) = 14*h**3 + 15*h**2 + 4*h - 6. Determine 11*i(d) + 6*z(d). -8*d**3 - 3*d**2 + 2*d Let g(z) = -21*z**2 - 6*z. Let v(y) = 21*y**2 + 5*y. What is -3*g(k) - 4*v(k)? -21*k**2 - 2*k Let n(c) = -2*c**3 + 9. Suppose -70*v = 41*v + 469 - 25. Let k(j) = 4*j**3 - 4 - 3*j**3 + 0*j**3. Determine v*n(h) - 9*k(h). -h**3 Let a(m) = m**2 + 25*m + 145. Let v be a(-16). Let s(u) = -2*u**3 - u**2 - 3*u - 2. Let f(k) = k**3 - k**2 - k - 1. What is v*f(q) - s(q)? 3*q**3 + 2*q + 1 Let p(u) = -77*u**3 + 2*u**2 + 4*u - 3. Let q(t) = t**2 + t - 1. What is p(x) - 3*q(x)? -77*x**3 - x**2 + x Let b(y) = 36*y**3 - 9*y**2 + y + 8. Let i(z) = -35*z**3 + 8*z**2 - 6. Determine -2*b(j) - 3*i(j). 33*j**3 - 6*j**2 - 2*j + 2 Let c(o) = 11*o - 11. Let u(
{ "pile_set_name": "DM Mathematics" }
776 - 772 for c. 2 Solve 0 = 22*f - 24*f + 8 for f. 4 Solve 17*n - 2 + 2 = 0 for n. 0 Solve 30 = -3*w + 42 for w. 4 Solve 2*m + 3 = -5 for m. -4 Solve -61*q = -22*q - 195 for q. 5 Solve -13*j + 54 = 5*j for j. 3 Solve 8*l - 21 + 77 = 0 for l. -7 Solve i - 776 = -96*i for i. 8 Solve 12*z - 26*z = 42 for z. -3 Solve -4 = 3*b - 13 for b. 3 Solve -243 - 422 = 95*p for p. -7 Solve 0 = -47*j + 10*j + 148 for j. 4 Solve -11*a = -7*a - 17*a for a. 0 Solve -4*u + 13 = 5 for u. 2 Solve -2*j = -j for j. 0 Solve -6*x = 158 - 176 for x. 3 Solve -6 = -7*t + 4*t for t. 2 Solve 4*v + 16 - 16 = 0 for v. 0 Solve 27*j = 30*j + 6 for j. -2 Solve -40*h = -42*h + 12 for h. 6 Solve 6*u - 38 + 50 = 0 for u. -2 Solve 1 + 43 = 11*m for m. 4 Solve t - 6*t = 10 for t. -2 Solve 0 = 8*j - 35 + 59 for j. -3 Solve 0 = 70*h + 4*h - 518 for h. 7 Solve -9*d + 36 = -9 for d. 5 Solve y - 10 = -5 for y. 5 Solve 6*p - 12 = 6 for p. 3 Solve -26*d + 64 = -10*d for d. 4 Solve -9*r + 13*r - 20 = 0 for r. 5 Solve 9*m - m = -20*m for m. 0 Solve -17*i - 104 + 172 = 0 for i. 4 Solve -8*f + 10 = 34 for f. -3 Solve -7 = 12*l + 29 for l. -3 Solve -6 = 4*t - 10*t for t. 1 Solve 8 = 72*b - 76*b for b. -2 Solve 125 + 91 = -108*p for p. -2 Solve -79*j + 97*j - 54 = 0 for j. 3 Solve 9 = -20*l + 9 for l. 0 Solve 0*h = 10*h - 6*h for h. 0 Solve -5*f + 10 = -3*f for f. 5 Solve -397*r = -392*r + 15 for r. -3 Solve -44*p + 30*p = -42 for p. 3 Solve 2*k + 2*k + 12 = 0 for k. -3 Solve 12 + 0 = 6*z for z. 2 Solve -d + 4*d = 0 for d. 0 Solve 1505 - 1521 = -4*h for h. 4 Solve 1812 - 1902 = 9*u for u. -10 Solve 9*i + 64 = 25*i for i. 4 Solve 0 = 9*y - 15 + 6 for y. 1 Solve -9*z + 68 + 13 = 0 for z. 9 Solve 0 = 11*l + 116 - 6 for l. -10 Solve 0 = 24*f - 41*f + 85 for f. 5 Solve 0 = 5*w + 7 + 8 for w. -3 Solve 4*d = -656 + 640 for d. -4 Solve -21*x + 10*x + 55 = 0 for x. 5 Solve k - 12*k = 44 for k. -4 Solve -7*d + 19 = -16 for d. 5 Solve -31*d - 488 = -364 for d. -4 Solve 0 = -7*j - 40 + 5 for j. -5 Solve 0 = 77*s + 130 + 332 for s. -6 Solve 0 = 5*n + 16 + 9 for n. -5 Solve 24 + 28 = -13*d for d. -4 Solve 10*b - 20*b - 10 = 0 for b. -1 Solve -3*a + 10 = 25 for a. -5 Solve 200 = 13*w + 12*w for w. 8 Solve 0 = 58*a - 66*a + 16 for a. 2 Solve 53*i = 410 - 92 for i. 6 Solve 3 = -7*o - 32 for o. -5 Solve 22*l = -52 + 74 for l. 1 Solve -13*j - 2697 + 2788 = 0 for j. 7 Solve -4*x + 30 = 34 for x. -1 Solve 975*c = 985*c for c. 0 Solve 29*j - 7*j = -2*j for j. 0 Solve 0 = -4*o + 2*o + 8 for o. 4 Solve -27*f - 6 = -21*f for f. -1 Solve 64 = 21*x - 37*x for x. -4 Solve 11*t - 184 = 57*t for t. -4 Solve -72*k - 22*k = -188 for k. 2 Solve 0 = -7*h - 9*h - 48 for h. -3 Solve -169*n + 3 = -168*n for n. 3 Solve -2 = -5*y + 3*y for y. 1 Solve 45*w - 40*w = -40 for w. -8 Solve 6*s = 7 + 5 for s. 2 Solve -94*m - 4 = -95*m for m. 4 Solve -38*m = 127 - 89 for m. -1 Solve 0 = -74*h + 68*h + 30 for h. 5 Solve v = -v - 8 for v. -4 Solve 0*g + 6*g = 24 for g. 4 Solve 126 - 144 = -3*l for l. 6 Solve 14*w + 11 = 39 for w. 2 Solve 18*u = -48 + 138 for u. 5 Solve -29 = -4*a - 9 for a. 5 Solve 42*f - 129 + 3 = 0 for f. 3 Solve -33*b + 71 + 28 = 0 for b. 3 Solve -336 = 4*v + 38*v for v. -8 Solve -39 = -18*y + 31*y for y. -3 Solve -57*d - 97 = 74 for d. -3 Solve 38*y - 206 = -16 for y. 5 Solve 30 = o + 27 for o. 3 Solve 69*j - 52*j = 51 for j. 3 Solve -18 = 452*g - 449*g for g. -6 Solve 0 = -12*f + 22*f + 20 for f. -2 Solve -18 = -6*t - 0 for t. 3 Solve -79*p = -81*p - 4 for p. -2 Solve 4*g - 112 = -96 for g. 4 Solve -66*f = -43*f + 230 for f. -10 Solve -122 = -56*c - 10 for c. 2 Solve -36 = -17*p - 104 for p. -4 Solve -c + 7 - 4 = 0 for c. 3 Solve 9*y - 3*y = 0 for y. 0 Solve 10*k + 4 = 4 for k. 0 Solve 11*w = 18*w + 14 for w. -2 Solve 0 = -2*o + 1 + 9 for o. 5 Solve 0 = -4*j - 61 + 41 for j. -5 Solve -24*m = -203 + 59 for m. 6 Solve -2*a - 4 = 2 for a. -3 Solve -249 = -38*u + 17 for u. 7 Solve -15 = -27*z + 12 for z. 1 Solve -l - 3 = -1 for l. -2 Solve 0 = 84*u - 89*u for u. 0 Solve -58*r + 54*r + 16 = 0 for r. 4 Solve -59*s + 66*s = 7 for s. 1 Solve 0 = 8*u + 1 + 7 for u. -1 Solve 23*o + 120 = -o for o. -5 Solve 0 = -15*i + 17*i + 2 for i. -1 Solve -51*w + 5*w = 138 for w. -3 Solve 18*f - 22*f = -16 for f. 4 Solve 0 = 12*x + 163 - 115 for x. -4 Solve -77*r + 64*r + 104 = 0 for r. 8 Solve -342 = 96*l - 58*l for l. -9 Solve 0 = -10*n - 354 + 324 for n. -3 Solve -44*x + 50*x - 24 = 0 for x. 4 Solve 44*b - 218 = 178 for b. 9 Solve -179*v = -166*v + 91 for v. -7 Solve 65*w = 68*w - 12 for w. 4 Solve 0 = -125*y - 869 - 381 for y. -10 Solve -237 = -5*d - 217 for d. 4 Solve 9*q + 44 = 8 for q. -4 Solve -3103*c + 10 = -3101*c for c. 5 Solve 89*c - 87*c = 6 for c. 3 Solve -380 = 2*j - 374 for j. -3 Solve -55*i - 68 = 207 for i. -5 Solve -543*q + 540*q = -6 for q. 2 Solve 19 + 81 = 50*b for b. 2 Solve 13*h = 7*h + 6 for h. 1 Solve -b = 5*b - b for b. 0 Solve 1 = -90*t + 89*t for t. -1 Solve -742 = 5*g - 757 for g. 3 Solve -23*x - 127 + 81 = 0 for x. -2 Solve -14*f + 16*f - 4 = 0 for f. 2 Solve 40*m = -m - 246 for m. -6 Solve j + 3*j = -4 for j. -1 Solve 13*w + 777 = 881 for w. 8 Solve 22*y + 24 = 34*y for y. 2 Solve 2*a = -81 + 77 for a. -2 Solve 0 = 54*x - 58*x - 12 for x. -3 Solve -95*v = -99*v - 20 for v. -5 Solve 6*g + 14 = 13*g for g. 2 Solve 14 = -5*j - 11 for j. -5 Solve -820*w + 808*w - 96 = 0 for w. -8 Solve 7*y = 13*y - 24 for y. 4 Solve -1 = 24*v - 23*v for v. -1 Solve 2*u + 18 = -7*u for u. -2 Solve -16*s + 8*s - 64 = 0 for s. -8 Solve -29*n + 6 = -23 for n. 1 Solve -19*n = -6*n + 13 for n. -1 Solve -7*o = 2 - 30 for o. 4 Solve 0 = 3420*h - 3426*h + 18 for h. 3 Solve 24*n - 105 = 63 for n. 7 Solve 20*z - 31 - 9 = 0 for z. 2 Solve 13 = -4*n + 17*n for n. 1 Solve 12 = -7*c + 11*c for c. 3 Solve -219 = -77*q + 397 for q. 8 Solve 0*v + 12 = -2*v for v. -6 Solve 0*v - 5*v + 10 = 0 for v. 2 Solve 0 = 5*z - 5 - 20 for z. 5 Solve 0 = 948*c - 958*c + 80 for c. 8 Solve 16*l = 12*l - 12 for l. -3 Solve 0 = -84*f - 70 - 14 for f. -1 Solve 62*q - 68*q - 24 = 0 for q. -4 Solve 125 + 37 = -27*g for g. -6 Solve 6*c - 8 - 10 = 0 for c. 3 Solve 3 = -7*r - 11 for r. -2 Solve -216*z + 226*z = 50 for z. 5 Solve 0 = 14*m + 21 - 35 for m. 1 Solve -256 - 8 = 33*y for y. -8 Solve -6*z - 79 = -49 for z. -5 Solve -14*h = 111 - 69 for h. -3 Solve -16*g - 15 = -11*g for g. -3 Solve 5*d = 133 - 118 for d. 3 Solve 1 = 2*c + 9 for c. -4 Solve -17*t - 3 = -18*t for t. 3 Solve 9*b - 30 = 15 for b. 5 Solve 0 = 10*h - 1164 + 1094 for h. 7 Solve -25*m = -8*m - 85 for m. 5 Solve 22 = -4*u + 6 for u. -4 Solve -354 = 8*a - 410 for a. 7 Solve -2*x + 5*x = 12 for x. 4 Solve 0 = -6*x - 11*x + 17 for x. 1 Solve 54*a + 12 = 50*a for a. -3 Solve -14*o - 64 = 2*o for o. -4 Solve 2*h - 38*h = -252 for h. 7 Solve 407*n - 412*n = 30 for n. -6 Solve -33*j - 72 = -9*j for j. -3 Solve 120 = 20*t + 10*t for t. 4 Solve -445*v + 436*v = -45 for v. 5 Solve -15 = 6*c + 15 for c. -5 Solve -112*t + 10 = -117*t for t. -2 Solve 0 = 2*t + 575 - 563 for t. -6 Solve -216 = -32*u - 4*u for u. 6 Solve -339 + 309 = -6*t for t. 5 Solve 8 = -f + 7 for f. -1 Solve -3*k - 16 = -7*k for k. 4 Solve 167 + 58 = -45*p for p. -5 Solve 5*y - 2*y - 6 = 0 for y. 2 Solve 79 = 15*y + 4 for y. 5 Solve 23*f = 42*f + 152 for f. -8 Solve 0 = 3*t - 4 + 13 for t. -3 Solve 8*p + 8 = -0 for p. -1 Solve 11 = -6*x - 43 for x. -9 Solve -108 = 6*y - 126 for y. 3 Solve 36*j - j = -105 for j. -3 Solve 28 = -w + 27 for w. -1 Solve 12*h = 7*h + 5 for h. 1 Solve 13*f - 1987 + 1987 = 0 for f. 0 Solve 142*w - 135*w - 21 = 0 for w. 3 Solve 9*p = -7*p - 16 for p. -1 Solve -26*t + 128 = -54 for t. 7 Solve z - 2 - 1 = 0 for z. 3 Solve 8*v + 0 + 8 = 0 for v. -1 Solve 30*o - 8*o + 154 = 0 for o. -7 Solve -327*w + 15 = -324*w for w. 5 Solve 0 = o - 6 + 8 for o. -2 Solve 3 + 29 = -8*u for u. -4 Solve 36*r + 2 = 110 for r. 3 Solve 0 = 6*y - y - 20 for y. 4 Solve 0 = -3*h - 5*h + 48 for h. 6 Solve 2*j - 28 = 9*j for j. -4 Solve -5 = 3*z + 4 for z. -3 Solve -4*t + 71 = 55 for t. 4 Solve -15*r + 36*r = 84 for r. 4 Solve 23*s - 11*s = 12 for s. 1 Solve 76*m = 81*m + 5 for m. -1 Solve -2*p - 5 = -13 for p. 4 Solve 0 = 3*a - 4 - 11 for a. 5 Solve -30*t + 39 = -51 for t. 3 Solve -5*h + 14 = 2*h for h. 2 Solve 0 = 5*k + 12 + 3 for k. -3 Solve 10 =
{ "pile_set_name": "DM Mathematics" }
-3*h(b) - 35*w(b). 60*b - 5 Let w(o) = -11*o**3 - 7*o**2 - 5. Let n(d) = 6 - 4*d**2 - 9 + 49*d**3 - 3 - 59*d**3 - 4*d**2. What is -5*n(q) + 6*w(q)? -16*q**3 - 2*q**2 Let o(t) = 30*t**3 - 10*t**2 + 3. Let u(f) = 28*f**3 - 8*f**2 + 2. Give 4*o(w) - 5*u(w). -20*w**3 + 2 Let j(v) = -7*v**2 - 5565*v + 6. Let s(w) = -10*w**2 - 5563*w + 9. Give -3*j(d) + 2*s(d). d**2 + 5569*d Let n(t) = -t**3 - t**2 - t. Let c(l) = -20*l**3. Let y(b) = -b**2 + 65*b + 585. Let k be y(-8). Give k*c(i) + 2*n(i). -22*i**3 - 2*i**2 - 2*i Let v(a) = 4788*a. Let z(f) = 2390*f. Give -2*v(p) + 5*z(p). 2374*p Let k(q) = 10529495*q**2 + 17185*q + 257775. Let t(h) = 2451*h**2 + 4*h + 60. What is -4*k(f) + 17185*t(f)? 2455*f**2 Let l(q) = 3*q + 11. Let r be l(6). Let u(z) = -55 + 23 - 3*z + z + r. Let h(y) = -1. What is -2*h(k) + u(k)? -2*k - 1 Let q(k) = -2*k**2 - 4*k - 4. Let x(i) be the first derivative of -i**3/3 - i**2/2 + i + 95. Let v = 124 - 125. Calculate v*q(h) + 4*x(h). -2*h**2 + 8 Let g(f) = 8*f**2 - 8*f + 37. Let v(z) be the first derivative of -z**3 + 3*z**2/2 - 12*z + 5237. Calculate 4*g(r) + 11*v(r). -r**2 + r + 16 Let g be 2/(2*5/90). Suppose 2*y + g*y - 100 = 0. Let z(n) = 3*n**3 - 2*n. Let r(v) = 6*v**3 - v**2 - 5*v + 1. Calculate y*z(d) - 2*r(d). 3*d**3 + 2*d**2 - 2 Let w(q) = 6*q**3 - 43*q**2 + 35*q - 192. Let i be w(7). Let o(f) = -1 - 2*f - 2 - f - 2*f**2. Let u(k) = 4*k**2 + 7*k + 7. What is i*u(n) + 9*o(n)? -2*n**2 + n + 1 Let c(w) = 200*w - 24. Let z(x) = 399*x - 55. Determine -14*c(y) + 6*z(y). -406*y + 6 Let u(c) = -4*c - 2. Let n(z) = -5*z - 1. Let i be (-5 + 4/20*21)*-5. Give i*u(q) - 3*n(q). -q - 5 Let x(w) = -68*w**3 + 9*w**2 - 3*w - 12. Let a(f) = -2*f**3 + f + 4. Determine 3*a(k) + x(k). -74*k**3 + 9*k**2 Suppose 28*o = 15*o - 10*o + 115. Let a = -24 - -22. Let h(f) = 7*f**3 - 2*f**2 - 2*f. Let i(d) = 14*d**3 - 5*d**2 - 5*d. Determine a*i(u) + o*h(u). 7*u**3 Let m(p) = -119*p**2 - 10*p + 12. Let z(q) = 236*q**2 + 21*q - 26. Give -13*m(v) - 6*z(v). 131*v**2 + 4*v Let y(k) be the third derivative of -k**4/24 + k**3/6 + k**2. Let i(t) be the first derivative of 2*t**2 - 6*t + 1926. What is 3*i(m) + 15*y(m)? -3*m - 3 Let t = -3778 - -3771. Let x(c) = c - 46. Let r(w) = -3*w + 139. Give t*x(u) - 2*r(u). -u + 44 Let p(d) = -17*d**2 + 2*d - 1. Let y(f) = -104*f**2 + 6*f - 8. Determine -13*p(r) + 2*y(r). 13*r**2 - 14*r - 3 Let v(u) = 11*u**3 + 51*u**2 - 1019*u + 6. Let o(l) = -4*l**3 - 18*l**2 + 339*l - 2. Calculate -17*o(i) - 6*v(i). 2*i**3 + 351*i - 2 Let p(i) = -15*i**3 + 11*i**2 - 7*i - 23. Let r(b) = 4*b**3 - 3*b**2 + 2*b + 6. Let s = 1739 - 1761. What is s*r(o) - 6*p(o)? 2*o**3 - 2*o + 6 Let o(g) = -26*g**3 + 17*g**2 - 17*g + 507. Let h(v) = 9*v**3 - 6*v**2 + 6*v - 169. Determine -17*h(y) - 6*o(y). 3*y**3 - 169 Let f(p) = 4*p**3 - 3*p**2 - 11. Suppose 26*s + 14*s - 54*s = 14. Let c(h) = h**3 - h**2 + 1. Determine s*f(v) + 3*c(v). -v**3 + 14 Let m(c) = -373*c**3 - 5*c**2 + 5*c - 5. Let b(q) = -376*q**3 - 3*q**2 + 6*q - 6. What is 5*b(x) - 6*m(x)? 358*x**3 + 15*x**2 Let o(q) = -1372*q**3 + 8*q**2 + 4*q. Let d(v) = 19209*v**3 - 114*v**2 - 57*v. Determine 4*d(l) + 57*o(l). -1368*l**3 Let y(m) = 2*m**3 - m**2 + 22*m - 2. Let b(q) = 3256*q**3 + 33*q**2 - 726*q + 66. Give b(p) + 33*y(p). 3322*p**3 Suppose h + d = 135 - 114, -2*h + d + 18 = 0. Let t(v) = -63*v + 2. Let o(a) = 31*a - 1. What is h*o(f) + 6*t(f)? 25*f - 1 Let x(y) = -2*y + 5. Let t(r) = 370*r - 16. Determine -2*t(h) - 6*x(h). -728*h + 2 Let w = -29 - -16. Let r = 6 + w. Let k(d) = -2*d + 4*d**3 - 155*d**2 + d**3 + 309*d**2 - 150*d**2. Let p(s) = 9*s**3 + 7*s**2 - 3*s. Give r*k(b) + 4*p(b). b**3 + 2*b Let u be (8/32)/(1/4). Let y(j) = 0*j - 3*j - 4*j + u + 9*j. Suppose 6*t - 33 = 3*t. Let i(m) = -4*m - 2. Calculate t*y(h) + 6*i(h). -2*h - 1 Let c(x) = 9*x + 396. Let v be c(-43). Let o(q) = 3*q**3 - q**2 - q + 4. Let i(j) = 5*j**3 - 2*j**2 - 3*j + 9. Determine v*o(w) - 4*i(w). 7*w**3 - w**2 + 3*w Let q = -482 + 495. Let l(w) = q*w - 8*w - 11*w. Let h(n) = -n. What is 5*h(d) - l(d)? d Let y(r) = -14*r**2 - 15*r + 114. Let x(l) = 31*l**2 + 31*l - 230. Determine 4*x(h) + 9*y(h). -2*h**2 - 11*h + 106 Let b(k) = -51. Let a(m) = 5*m - 320. Calculate -a(y) + 10*b(y). -5*y - 190 Let b(i) = -3*i**2 + 2. Let l(z) be the third derivative of -1/30*z**5 + 51*z**2 + 0*z**4 + 1/2*z**3 + 0*z + 0. What is 5*b(d) - 4*l(d)? -7*d**2 - 2 Let m(n) = 158*n**2 + 43*n - 4. Let t(a) = a**2 + 7*a - 1. Calculate -m(o) + 6*t(o). -152*o**2 - o - 2 Let x(g) = 3*g - 2. Let i(f) = -41*f**2 - 12*f + 3. Calculate i(c) + 3*x(c). -41*c**2 - 3*c - 3 Let d(l) = 20*l**2 - 26*l + 5. Let c(q) = 7*q**2 - 8*q + 2. Let w(s) = 7*c(s) - 2*d(s). Let k(x) = x**2 + x - 1. Determine -4*k(g) - w(g). -13*g**2 Let g(h) = -5*h**2 - 39*h - 6. Let y(a) = 5*a + 1. Calculate 2*g(p) + 10*y(p). -10*p**2 - 28*p - 2 Let t(s) = 17*s + 3. Let d(x) = 17*x - 1. Determine 5*d(c) - 4*t(c). 17*c - 17 Let w(t) = -10029*t + 273. Let s(n) = 528*n - 14. Calculate -117*s(k) - 6*w(k). -1602*k Let j(k) = k**3 - k + 1. Let t(v) be the first derivative of -2*v**4 - 7*v**3/3 + 3*v**2 - 6*v + 5554. What is -6*j(w) - t(w)? 2*w**3 + 7*w**2 Let n(m) = -m. Let f(v) = -2*v. Suppose 5*u + 21 = 3*l, -2*u + 3 = -5*l - 0. Let w be 1 - (9 - 38/4)*8. Determine u*n(j) + w*f(j). -4*j Let g(z) = 13*z + 2. Let h(f) = -7*f - 1. Let o be ((-1)/(-2))/(12/264). Suppose 287*y + o = 286*y. Calculate y*h(v) - 6*g(v). -v - 1 Let p(i) = -4*i + 1. Suppose -3*g = 0, -4*g + 405 = 3*n - 5*g. Suppose 28*d - n = 13*d. Let z(a) = 17*a + 0 - 2 - 2. What is d*p(s) + 2*z(s)? -2*s + 1 Let o(f) = 26*f**3 - 3*f - 5. Suppose 72 = -64*a + 328. Let m(l) = -13*l**3 + l + 2. Give a*o(v) + 10*m(v). -26*v**3 - 2*v Let i(d) = 4*d + 1. Suppose 0*a + 5*y = -a + 43, 5*a - 215 = -5*y. Suppose 15 = -4*j + a. Let b = -17 + j. Let v(k) = 7*k + 2. Calculate b*i(n) + 6*v(n). 2*n + 2 Let v(i) be the first derivative of -2*i**3/3 - 5*i**2/2 + i - 540. Let c(l) = 2*l**2 + 4*l - 1. Give -3*c(w) - 2*v(w). -2*w**2 - 2*w + 1 Let m = 88 + -86. Let r be 1/(2/(-305)*(-1)/m). Let y(b) = -305 - 5*b + r. Let v(i) = -21*i. Give 2*v(w) - 9*y(w). 3*w Let o(m) = 7*m**3 + 9*m**2 - 6*m + 6. Let g(d) = -d**3 - 2*d**2 + d. Let a(c) = -2*c**3 + c - 5. Let t(q) = a(q) + 4*g(q). Give 5*o(n) + 6*t(n). -n**3 - 3*n**2 Let u(h) = 857*h**2 - 223*h**2 + h - 635*h**2. Let r(j) = -25*j**2 + 6*j - 2. Calculate -r(b) + 5*u(b). 20*b**2 - b + 2 Let s(k) = -34*k**3 - 91*k**2 + 12*k. Let f(d) = 35*d**3 + 73*d**2 - 12*d. What is 5*f(r) + 4*s(r)? 39*r**3 + r**2 - 12*r Let q = 25135 - 25157. Let o(j) = 36*j + 11. Let l(v) = -3*v + 2 + 7*v + 3*v. Calculate q*l(g) + 4*o(g). -10*g Let t(f) = 2*f**2 + 7*f - 7. Let y = 449/5484 - -2/1371. Let i(x) be the second derivative of -9*x - 2*x**2 + 2/3*x**3 + y*x**4 + 0. What is -5*i(z) + 3*t(z)? z**2 + z - 1 Let d(x) = 2*x**3 - x**2 + 2*x + 1. Let g(t) = -29*t**3 + 13*t**2 - 10*t - 6. Calculate -5*d(c) - g(c). 19*c**3 - 8*c**2 + 1 Let b(o) = -17*o**2 + 6*o + 19. Let y(m) = m**2 - 2*m - 6. Determine -b(q) - 4*y(q). 13*q**2 + 2*q + 5 Let y(c) = c**3 - c + 3. Let o(j) be the third derivative of -j**5/60 - j**4/24 + j**3/6 + j**2. Let b = -131931 - -131930. Determine b*o(f) + y(f). f**3 + f**2 + 2 Let k(p) = p + 1. Let f(s) = 10*s**2 + 6*s + 2. Let w be f(-2). Suppose 0 = -13*h + 7*h - w. Let c(l) = 2*l**2 + 6*l + 5. Determine h*k(n) + c(n). 2*n**2 + n Let w(y) = -1. Let z(k) = 57*k + 114. Let a(r) = r**2 + 69*r + 1159. Let m be a(-29). Calculate m*z(d) - 114*w(d). -57*d Let m(j) = 13*j**2 + 21*j - 6. Let t(b) = -31*b**2 - 46*b + 12. Determine -9*m(i) - 4*t(i). 7*i**2 - 5*i + 6 Suppose 24 = -2*b + 4*f + 22, -3*b = 4*f - 27. Let x(q) = 4*q**3 - 2*q**2 + 6*q - 2. Let s(c) = -8*c**3 + 5*c**2 - 13*c + 5. Give b*x(a) + 2*s(a). 4*a**3 + 4*a Let f(s) = 7249*s - 227. Let y(x) = 5178*x - 160. Determine 12*f(t) - 17*y(t). -1038*t - 4 Let a(d) = 2*d**2 + d - 1. Let r(q) = 47086*q**2 + 25354*q - 25354. Give -50708*a(f) + 2*r(f). -7244*f**2 Let b(l) = 2*l**3 + l**2 - 2*l. Let m(w) = -26*w**3 + 1540*w**2 + 24*w - 2. Calculate 12*b(h) + m(h). -2*h**3 + 1552*h**2 - 2 Let l(f) = 4*f + 3. Let h(t) be the first derivative of -13*t**2/2 - 8*t - 3882. Give -6*h(z) - 17*l(z). 10*z - 3 Let x(f) = -2*f - 18. Let c(n) = 2*n**2 - 62*n + 63. What is c(g)
{ "pile_set_name": "DM Mathematics" }
/4 (f) 18 d Which is the sixth biggest value? (a) -3/4 (b) 0.5 (c) -3/11 (d) -6 (e) 2/3 (f) -1/3 d Which is the fourth biggest value? (a) 0.3 (b) 4.4 (c) 5/2 (d) -4 (e) 4 (f) 29 c Which is the fourth smallest value? (a) -0.4 (b) -4/717 (c) 0.1 (d) 4 (e) 55 d What is the biggest value in -0.6, 5, 157? 157 What is the second smallest value in 1/4, -88, 2, -2/7? -2/7 What is the biggest value in -1, 2, 5, -3/2, -2/45? 5 Which is the third smallest value? (a) 0 (b) 3 (c) 111/14 c What is the biggest value in -9, -1/6, 3, 1617? 1617 Which is the fourth biggest value? (a) 214/5 (b) -2 (c) -3 (d) -5 d What is the smallest value in -510, 2/9, -3/11? -510 What is the fourth smallest value in 1.3, -2/9, -79.4, -1/2, -3/8? -2/9 What is the third biggest value in -2, 2/7, -0.2, -1, 0.421, -1/10? -1/10 What is the biggest value in 3/7, -72, -1, 0.9, -2, 4? 4 What is the third biggest value in -3/2, 0, 1, -0.044? -0.044 Which is the smallest value? (a) 3/5 (b) -3 (c) 40343 b Which is the second smallest value? (a) -729 (b) 12 (c) 26 b What is the fifth smallest value in 4, -2, 15, 0, 0.2? 15 Which is the third smallest value? (a) 0.4 (b) 53/7 (c) 4 (d) -3/25 (e) -0.03 a Which is the third biggest value? (a) -0.06 (b) -0.1 (c) -6 (d) 8/7 (e) 5/2 (f) 1/2 f Which is the third smallest value? (a) -4 (b) -97 (c) -275 a Which is the second smallest value? (a) -90 (b) 7 (c) -1/4 (d) -1/8 c Which is the fifth biggest value? (a) -2/135 (b) -2 (c) 6 (d) -2/3 (e) 1 b Which is the biggest value? (a) -8/7 (b) 0.5 (c) -2646 (d) -3 (e) 1 e Which is the biggest value? (a) -170 (b) 14 (c) -3/4 (d) 5 (e) 0.4 b Which is the second biggest value? (a) 9/14 (b) -1.8 (c) -729 (d) 2/17 d What is the biggest value in 0.2, -0.3, -371, -2, 5, 0.06? 5 What is the smallest value in 6, -8074, -2? -8074 What is the fifth biggest value in 2, -5, -4, 622/11, 10/7? -5 What is the smallest value in 4, 2/9, -0.069? -0.069 What is the second biggest value in 1/60, 0.4, -1.4, 0.17? 0.17 Which is the fifth biggest value? (a) -17205 (b) 0 (c) -2/27 (d) 4 (e) 5 a What is the smallest value in -16, -3, 1, -477, 0.1? -477 Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) 0 (d) 0.01118 a What is the fourth biggest value in -5, -0.1, -3/2, -2/99? -5 What is the fourth smallest value in 1/8, -0.33, -0.2, 0, 52/9? 1/8 Which is the fourth biggest value? (a) 2/3 (b) 2 (c) 5 (d) 0.06 (e) 2/7 (f) 4 a Which is the third smallest value? (a) 1190 (b) -0.1 (c) 4 (d) 0.1 c Which is the third smallest value? (a) 4 (b) -1 (c) -4 (d) -41 (e) 3/16 b Which is the third biggest value? (a) 0 (b) 0.06 (c) 1.56 (d) 0.14 (e) 4 d What is the second smallest value in -17.393, -1, 2? -1 What is the biggest value in -0.007, -1, 418? 418 Which is the third smallest value? (a) -0.1407 (b) 8.2 (c) 3 b Which is the second smallest value? (a) -146 (b) 4/7 (c) -0.4 (d) -53 (e) 0 (f) 5/3 d What is the fifth biggest value in -3, -1/2, -4/49, 2, -1? -3 What is the second biggest value in -2/5, 12, 38, 13? 13 Which is the third smallest value? (a) -0.5 (b) 3 (c) 1.8 (d) -113/1683 c What is the fifth smallest value in 3.9, 2, -5, 0, -17.1? 3.9 What is the third smallest value in 0.3, 60, -1/83, -0.2, 0, 4? 0 What is the fifth smallest value in -1, 0, -43/9, -0.5, 2/7, -10/7? 0 Which is the third smallest value? (a) -0.4 (b) 11 (c) 2/21 (d) -1 (e) -37 a What is the second smallest value in -145.5, 0, -0.5, -3/2? -3/2 What is the smallest value in -0.1, -0.2, 5, 2/391? -0.2 What is the third smallest value in -1, 19, 1.28, 2/7, 3/7, 3/8? 3/8 What is the biggest value in -0.2, -0.026, 10? 10 Which is the third biggest value? (a) 0.1 (b) 5 (c) 16.8 (d) -1.4 a What is the fifth biggest value in 2/9, -0.5, -4, -11, 7.72? -11 What is the fourth smallest value in 7.61, 1, 5, -0.25, 1/4? 5 Which is the fourth smallest value? (a) -1/10 (b) 236 (c) 550 (d) 0.4 (e) -2/5 (f) -1 d Which is the second smallest value? (a) 2/19 (b) -69.2 (c) 4 (d) -3 d What is the fourth biggest value in -26, 1/4, 0.2, 4/95? -26 What is the second biggest value in -18, -4/23, 0.2, -64, -0.08? -0.08 Which is the second biggest value? (a) -7 (b) -2/3 (c) -53/4 (d) 3 b What is the second smallest value in 0.1, 3, -0.016319? 0.1 What is the smallest value in 0.1, -2/9, -0.1961? -2/9 What is the smallest value in -47, -2/9, -1, 1/4, -0.4? -47 Which is the fourth biggest value? (a) 13 (b) 9.1 (c) 2/11 (d) -1 d What is the sixth smallest value in 2/3, -60, -2, 1, 0, -2/7? 1 What is the fourth biggest value in -7, -134, 5, 4? -134 Which is the fifth smallest value? (a) 8 (b) -2 (c) -5 (d) -179 (e) 0.1 a Which is the fifth biggest value? (a) 46 (b) 4 (c) -1/4 (d) -48 (e) 1/2 d Which is the second smallest value? (a) 5 (b) -1 (c) 2/1959 (d) -155 b What is the third biggest value in -1.245, -0.3, 0.091? -1.245 What is the fourth biggest value in 1/2, -112.28, -5, -3, 2? -5 Which is the third smallest value? (a) -3 (b) -1/21 (c) 1/258 (d) 0.3 (e) 3/7 (f) 1 c What is the third biggest value in 1/421, -6, -2/3, 3? -2/3 What is the second smallest value in 0.2, -7, -0.5, -10, -9.6? -9.6 What is the second smallest value in -2.46, 3, 0.5, -3, -44, 0.1? -3 What is the fourth smallest value in -5, -2/3, -1, 91, -7.49? -2/3 Which is the fifth smallest value? (a) 5 (b) 3 (c) 0.5 (d) 3/488 (e) -2/11 (f) -4 b What is the fifth biggest value in 0, -3, 2, 0.5, 5.65, 4? 0 What is the second biggest value in -1/99, -2, 0.581? -1/99 Which is the second smallest value? (a) -188 (b) -4 (c) 0.1 (d) 14 b What is the smallest value in 0.2, 0.4, 0.003, -0.3, 4, -10? -10 Which is the second biggest value? (a) 1/2 (b) -21 (c) -238 b What is the second smallest value in 0.07, -3, 152/5, -5? -3 Which is the third smallest value? (a) 2 (b) -471 (c) -1.079 a What is the biggest value in -0.172, -3, 18/5, 16? 16 Which is the third biggest value? (a) 1/2 (b) -1/4 (c) 11 (d) -0.1 d Which is the smallest value? (a) -6 (b) 4 (c) 1/22 a What is the smallest value in -8/3, -1/4, 0.1, 2/9, 4, 3/4? -8/3 Which is the biggest value? (a) 3/2 (b) 30 (c) -116 (d) 2 b Which is the third biggest value? (a) 2 (b) 0.0253 (c) 38 b Which is the third smallest value? (a) -2 (b) -2/17 (c) 1/2534 (d) -4 b Which is the second biggest value? (a) 4 (b) -283 (c) -4 (d) 1 (e) 0 (f) 4/3 f What is the third smallest value in -1/3, -3/2, 0, -20/3, -4/5, -1/35? -4/5 What is the smallest value in 670/11, -5, -29? -29 What is the second biggest value in 2/5, -1.7, 1/136, 1/6, -2/3? 1/6 Which is the second smallest value? (a) -10 (b) 1/11 (c) 0.75 (d) 1 (e) 0.1 b Which is the smallest value? (a) -3 (b) -5/4 (c) 7 (d) -5 (e) -0.1 (f) -1/100 d Which is the smallest value? (a) 0.2 (b) -0.5 (c) -1/3 (d) 0.5 (e) -42 e Which is the fourth biggest value? (a) -34.2 (b) -0.7 (c) -1/2 (d) 0.07 a Which is the second smallest value? (a) -0.4 (b) 1 (c) 1/8 (d) -0.04 (e) -10 a What is the fourth biggest value in -5, 3, 2052, -0.2, 58? -0.2 What is the smallest value in 2, 28.9, -4, 1/3, -11? -11 What is the second smallest value in -4/19, 1/2, 32, 2/21? 2/21 Which is the second smallest value? (a) -2/13 (b) 2/17 (c) -0.1 (d) -0.0927 c Which is the third biggest value? (a) 0.23 (b) -1 (c) -0.4 (d) -1.085 b What is the fifth smallest value in -129, -1/3, 4, 0, -2/15, 0.2? 0.2 Which is the fifth smallest value? (a) 8 (b) 6 (c) 5 (d) 0.3 (e) -3 a What is the fourth biggest value in -64, 12/5, 0, -1/6, -10? -10 What is the second smallest value in -49, -0.0983, 2? -0.0983 Which is the third smallest value? (a) 1/2 (b) -0.273 (c) -5 (d) -4 (e) 0.06 b Which is the third biggest value? (a) -1/2 (b) -1 (c) -32 (d) 2/33 (e) -7/4 b Which is the biggest value? (a) 21 (b) -365 (c) 1/3 (d) -4 (e) 0.4 a What is the second smallest value in -0.67, -0.067, -49? -0.67 What is the fourth biggest value in 0.09, -6, -4, 0.168, -2/15? -4 What is the third biggest value in 7, 28.694, -1? -1 What is the smallest value in -7, 0.1, 579, -0.3? -7 Which is the third smallest value? (a) 0.4 (b) -1/3 (c) -2 (d) -117 (e) -5/
{ "pile_set_name": "DM Mathematics" }
w. Is w a multiple of 4? True Let b(s) = -s**2 - 6*s + 2. Let f be b(-6). Is (13/4)/(f/8) a multiple of 13? True Is 3 + -7 - (0 + 1 + -10) a multiple of 5? True Let b be (0*(-2)/4)/2. Suppose 24*h - 22*h - 22 = b. Does 9 divide h? False Is (8 - 5) + 72/2 a multiple of 7? False Let b(c) = c**2 - 15*c + 26. Does 6 divide b(17)? True Suppose 406 = -0*m + 7*m. Is m a multiple of 13? False Is 157 + 0 + 5 + -6 a multiple of 12? True Suppose 0 = -5*c + 2*r + 4, 0 = c - 4*r + 3*r + 1. Suppose 24 = 2*d + p, -2*p + 24 = 2*d + c*p. Let g = d + -7. Is 3 a factor of g? False Let x(z) = 5*z**3 - 2*z**2 + 1. Let g be x(1). Suppose 0 = 3*v + 5*l + 2 - 35, -6 = -3*v + g*l. Is (-8)/3*(-99)/v a multiple of 19? False Suppose -1 = -2*p + 1. Let d(w) = -w + 1. Let k(h) = 11*h**2 + 4*h - 5. Let v(m) = 5*d(m) + k(m). Is v(p) a multiple of 5? True Let t(g) = -g**2 + 8*g - 8. Is 2 a factor of t(6)? True Suppose 3*q - 3 = -3*i + 12, -4*i + 2 = -5*q. Suppose 2*a + q*u + 50 = 0, 7*a + 105 = 3*a - 3*u. Let s = a - -42. Does 8 divide s? False Let d be ((-5)/15)/(1/(-111)). Let c = d - 26. Is 6 a factor of c? False Let c(l) = -2*l**3 - 5*l**2 - l - 7. Let j(h) = h**3 + 2*h**2 + h + 3. Let k(m) = 3*c(m) + 5*j(m). Is 4 a factor of k(-6)? False Let s(n) = n**2 + 0*n**2 - 5 + 4 + 5*n**2 - n. Is s(2) a multiple of 8? False Suppose -4*l - 3*o = -0*o - 2, 4*l = o - 6. Let k be (-4 - -3) + 32 + l. Suppose -k = -2*p - 3*p. Is 3 a factor of p? True Suppose -112 = -4*p + 164. Is 30 a factor of p? False Let h(a) be the second derivative of -a**5/20 + a**4/6 - a**3/2 - 2*a**2 - a. Let q be h(3). Let o = -2 - q. Does 10 divide o? True Suppose -9*l = -4*l - 215. Is l a multiple of 19? False Let h = 125 + -61. Does 16 divide h? True Suppose 0 = o + 4*m + 2, -o - o + 7 = -3*m. Let r be 19/(o/(-12)*-2). Let t = r + -4. Is t a multiple of 20? False Let s = 17 + -12. Let z = 19 - s. Is z a multiple of 11? False Is (-390)/(-2) + (16 - 16) a multiple of 39? True Is 18 a factor of ((-16)/4)/(2/(-43))? False Suppose -12 - 118 = -5*x. Let o = x + -36. Does 11 divide (-294)/o + (-4)/10? False Let c be ((-3)/(-2) - 2)*-40. Suppose -5*p - 96 = s + 3*s, 5*p = -c. Let m = 32 + s. Is 13 a factor of m? True Suppose -2*d + m = -36, 7*d - 3*d + 3*m - 52 = 0. Is d a multiple of 8? True Does 4 divide (-20)/((-3 - -4*1)/(-1))? True Let j = -36 + 18. Does 9 divide (-3 - -2)*1*j? True Let p(m) = 259*m + 2. Let a be p(-2). Does 19 divide 2/(-5) + a/(-15)? False Let x be 432/56 - (-2)/7. Let n = 37 + x. Does 15 divide n? True Let h = 129 - 42. Is h a multiple of 20? False Let v(m) = 75*m**2 + m + 1. Suppose 0*y = y + 1. Is 32 a factor of v(y)? False Suppose -3*d = -n + 5 + 2, 4*d + 22 = -5*n. Let g = n + 6. Suppose -g*a + 2*l + 112 = 0, 6*l - 2*l = -3*a + 106. Is a a multiple of 15? True Let o(x) = -x**2 + 12*x + 17. Is 2 a factor of o(13)? True Let k(j) = j**2 - j + 23. Let i be 1/1 - (-3 - -4). Let t be k(i). Suppose -5*r + 49 = 2*q + q, -3*q - t = -4*r. Does 5 divide r? False Let o = -1 - -31. Is o a multiple of 28? False Suppose -2*q = 4*i + 102, -4*i = -q + i - 72. Is -2*(0 - q/(-6)) a multiple of 11? False Let a be (308/(-8))/((-1)/2). Let j = a - 38. Is 21 a factor of j? False Suppose -2*x - 5*p - 18 = 0, -33 = 5*p - 13. Let m = 10 - x. Does 7 divide m? False Suppose 0 = i - 5*i - 2*k + 92, -2*i - 5*k = -30. Suppose 70 = 5*d - i. Does 19 divide d? True Suppose 0 = 4*q - 40 - 72. Is q a multiple of 14? True Suppose -3*z - 5*s = -53, 0*s + 5*s - 85 = -5*z. Suppose 4 = a - z. Is a a multiple of 7? False Let t(p) = -p**3 + 11*p**2 - 4*p + 3. Is 21 a factor of t(10)? True Let r = 50 - 33. Does 5 divide r? False Let t = 5 - 6. Let p = t - -14. Does 9 divide p? False Suppose 4*c + 8 = -36. Let j = 27 - c. Is j a multiple of 19? True Let z = 215 + -127. Is 22 a factor of z? True Suppose -3*h + 84 = 5*v, -5*h + 3*h - 69 = -5*v. Let w be v/(-4) - 2/8. Let u(k) = -8*k - 4. Is 10 a factor of u(w)? False Let k(n) = n - 3. Let l = -5 - -8. Let v be k(l). Suppose v*t = -t + 2. Does 2 divide t? True Let x(j) = 2*j - 7. Let t be x(5). Is (19 - 0) + -4 + t a multiple of 4? False Let t = 169 + -97. Does 18 divide t? True Is ((-3)/4)/((-32)/6656) a multiple of 16? False Let z(w) = -5*w. Let c = -3 - 1. Is z(c) a multiple of 6? False Let q be 0 + (4 - 3 - -2). Suppose -63 = -3*g + 3*a, 0 = -5*g - q*a + a + 119. Let w = g - 6. Is 8 a factor of w? False Suppose -z + 192 = 5*g, -5*z + 3*g - 2*g + 1090 = 0. Suppose -o = y - 41, -5*y + z = 4*o + 51. Does 13 divide o? True Let n(t) = -2*t - 2. Let s be n(-8). Suppose -o + s = 3. Is 11 a factor of o? True Let y = 121 + -69. Let b = 0 - -3. Suppose b*h - y = -h. Is h a multiple of 6? False Let o(h) = 5*h - 1. Let d be o(1). Suppose d*u - 4*y - 144 = 0, -3*u = 4*y - 68 - 68. Suppose u = -v + 3*v. Is v a multiple of 8? False Let p = 3 + -7. Let a = p + 2. Is 18 a factor of (25 - a)/(6/8)? True Let g(o) be the first derivative of o**3/3 - 3*o**2/2 + 7*o - 3. Is g(-7) a multiple of 11? True Suppose 3*p = -c + 18, 3*c + 2*p - 13 = 2*c. Suppose -2*i - 10 = -c*i. Does 5 divide i? True Suppose -3 = 5*z - 48. Is 5 a factor of z? False Let r(a) = -a + 1. Does 2 divide r(-7)? True Let s be -15 + 3 - 3/1. Does 11 divide 5/s + 34/3? True Let g = 6 - 5. Suppose h + 3 = q, 0 = q - 0*q - 2*h - g. Suppose q*f - 41 = 24. Is f a multiple of 5? False Let g(y) be the first derivative of -y**4/4 + 3*y**2/2 + 4*y - 2. Does 8 divide g(-3)? False Suppose -3*h + u = 6 + 5, -5*u = -10. Let w(d) = 4*d**2 + 3*d - 2. Is w(h) a multiple of 12? False Let s = 9 - -25. Suppose -s = -3*r + 2*p, -p - 32 = -4*r + r. Does 4 divide r? False Let n(h) = -4*h**3 + 2*h**2 - 5*h + 7. Let k(c) = 5*c**3 - 2*c**2 + 5*c - 8. Let z(a) = -3*k(a) - 4*n(a). Is 5 a factor of z(3)? True Let b(z) = 8*z**2 + 3*z + 20. Does 34 divide b(-4)? True Suppose 5*y = -v + 8, 0 = -2*v - 4*y + y + 2. Suppose -21 = -4*x + 91. Let t = v + x. Does 13 divide t? True Suppose -m + 40 = 5*s, 5*s - 2*m = -4*m + 35. Does 2 divide s? False Let r = 6 + -1. Suppose r*k - 43 = 17. Does 12 divide k? True Let o(k) = -13*k + 3. Let x be (-3 - (-4 - -3))*1. Does 18 divide o(x)? False Let r be 3/((-12)/4) - 2. Let g = 4 - r. Is g a multiple of 3? False Let l = 37 - 33. Is 4 a factor of l? True Let a(j) = 3*j - 20. Let f be a(8). Does 3 divide 6/24 - (-39)/f? False Let m(j) be the third derivative of -j**4/24 - 3*j**3/2 + 3*j**2. Let q be m(-9). Suppose q = -4*i + 29 + 107. Is 17 a factor of i? True Let y = 158 + -19. Is 24 a factor of y? False Let v(q) = 10*q - 19. Is v(22) a multiple of 11? False Let b = -5 - -8. Let h(a) = a**2 - 4. Let f be h(-3). Suppose b*l - 10 = f. Is l a multiple of 3? False Let b be 6/(4 + -1) - 2. Suppose -o - 3*o - 24 = s, b = 3*o - 2*s + 18. Let n = o + 9. Is n even? False Let j(n) = n**2 - n - 9. Let b be j(-12). Suppose -5*o + b = 2*i, i + 3*o - 80 = 7*o. Does 38 divide i? True Let v = 27 + -16. Let h = v + -8. Suppose -3*p + 5*p = h*f + 81, -p = -4*f - 28. Is p a multiple of 17? False Suppose -3*d = -g - 235, 0*d - 2*g - 150 = -2*d. Let c = d + -56. Suppose 5*q = -p + 6, 6*p = 2*q + p - c. Is q a multiple of 2? True Let k = -69 + 106. Is k a multiple of 5? False Suppose -3*o + 82 = u - 6*o, 2*u - 2*o - 172 = 0. Is u a multiple of 11? True Suppose 0 = 4*x + 4*b, -20 = 5*b - 0. Let c be ((-42)/9)/(x/(-6)). Suppose c = z - 4. Is 7 a factor of z? False Let n(h) = h**2 + 5*h + 2. Let u be n(-5). Let q(v) = -5 + 6*v**2 + u*v - 2 + 4. Does 10 divide q(2)? False Let d(k) = -2*k. Let g be d(-1). Suppose 0 = g*c - 2*w - 104, -5*c - 5*w = -246 - 64. Suppose 4*a = c + 131. Does 16 divide a? False Let x = 198 + -135. Is x a multiple of 24? False Let m(d) be the first derivative of 4*d + 1/4*d**4 - 3*d**2 + 1 + 5/3*d**3. Does 4 divide m(-6)? True Let n(l) = -l - 1. Let y be n(-5). Suppose -y*p = u + 2 - 8, 3*u = p + 57. Does 6 divide u? True Let p(a) = a**2 + 75. Is 9 a factor of p(0)? False Let b = -10 - -37. Suppose 0 = -4*d + 3*x - 8*x + b, -6 = -3*d + x. Is d a multiple of 3? True Let s(d) = -d**3 - d**2 + d + 2. Let v be s(0). Suppose v*c - 64 = 4*z, 5*c + 2*z - 124 = -0*z. Is c a multiple of 13? True Let k be 827/5 - (-8)/(-20). Suppose k + 255 = 5*x. Does 28 divide x? True Let r(s) = s**3 + 6*s**2 - 3*s - 6. Does 4 divide r(-6)? True Let z(
{ "pile_set_name": "DM Mathematics" }
et z(u) = 4*u - 16. What is z(3)? -4 Let m(s) = 5*s + 20. Calculate m(-9). -25 Let t(d) = 25*d + 3. Give t(-2). -47 Let j(b) = 2*b**3 - 17*b**2 + 5*b + 28. Calculate j(8). 4 Let s(f) = 2*f**3 - 100*f**2 - 6. What is s(50)? -6 Let v(y) = y**3 + 2*y**2 - 2*y - 1. What is v(2)? 11 Let m(l) = -l**3 + 12*l**2 + 14*l + 2. Determine m(13). 15 Let b(f) = -2*f**2 - 2. Determine b(2). -10 Let h(f) = -f**2 - 10*f - 6. Give h(-5). 19 Let p(w) = -w**3 - 6*w**2 + 6*w + 8. What is p(-7)? 15 Let u(l) = l**3 - 5*l**2 - l - 2. Give u(4). -22 Let z(o) = o**2 + 2*o - 7. Calculate z(2). 1 Let q(m) = 2*m**2 + 6*m - 17. What is q(4)? 39 Let p(v) = v**2 - 12*v + 7. Determine p(7). -28 Let m(j) = j**3 - 27*j**2 - j + 5. Calculate m(27). -22 Let n(z) = -12*z**2 - 2. What is n(-1)? -14 Let h(n) = -n**3 - 17*n**2 + n + 8. Calculate h(-17). -9 Let r(p) = -p - 22. Give r(-1). -21 Let v(s) = -4*s**2 + 2*s - 26. What is v(5)? -116 Let x(l) = -6*l + 107. Give x(18). -1 Let f(r) = -r**3 - 5*r**2 - 11*r - 7. Calculate f(-3). 8 Let v(t) = -t**2 - t + 7. Determine v(-4). -5 Let i(y) = 4*y**3 + 10*y - 9. What is i(1)? 5 Let k(z) = -2*z**2 - 14*z + 19. Calculate k(-8). 3 Let h(m) = -2*m**2 - 13*m - 32. What is h(-5)? -17 Let r(t) = 3*t**2 - t + 48. Determine r(0). 48 Let q(z) = -7*z**2 - 140*z + 1. Give q(-20). 1 Let k(d) = d**3 + 15*d**2 + 10*d - 30. Determine k(-14). 26 Let t(l) = l**3 - l**2 - 116. What is t(0)? -116 Let v(t) = 3*t - 6. What is v(-5)? -21 Let d(y) = 4*y**2 - 5*y + 4. Calculate d(3). 25 Let m(o) = 15*o**3 - o**2 - o. Calculate m(-1). -15 Let h(u) = 25*u**2 - 4*u + 4. Calculate h(2). 96 Let q(h) = -h**3 + 6*h**2 + 2*h - 6. Calculate q(6). 6 Let v(n) = -5*n + 52. Calculate v(10). 2 Let g(u) = u**3 + 20*u**2 + 19*u + 17. What is g(-19)? 17 Let x(o) = -o**3 + 13*o**2 - 6*o - 10. Calculate x(13). -88 Let p(f) = -7*f + 102. Give p(16). -10 Let r(x) = -51*x**3 - 2*x**2 + 4*x - 3. Determine r(1). -52 Let s(f) = f**3 - 16*f**2 - 2*f + 23. What is s(16)? -9 Let t(d) = -2*d**2 + 6*d - 9. Determine t(0). -9 Let t(p) = p**3 - 3*p**2 - 4*p + 2. Calculate t(5). 32 Let h(v) = -v**3 - 12*v**2 - 4*v - 18. Calculate h(-12). 30 Let q(n) = 9*n + 10. Determine q(-7). -53 Let r(f) = -23*f - 166. What is r(-7)? -5 Let a(b) = b**3 - 6*b**2 - b - 2. Give a(6). -8 Let g(f) = f + 20. Calculate g(-15). 5 Let t(o) = o**3 + o**2 + o - 36. Calculate t(0). -36 Let k(d) = -d**3 - 12*d**2 + 10*d - 9. Determine k(-13). 30 Let h(s) = s**2 - 11. Determine h(4). 5 Let i(w) = 8*w - 222. What is i(31)? 26 Let x(s) = 4*s - 48. Give x(13). 4 Let u(r) = -9*r**3 - r**2 - r + 3. What is u(1)? -8 Let k(x) = -x**2 - 7*x - 26. Calculate k(-4). -14 Let x(z) = z**3 + 6*z**2 - 8*z + 9. Calculate x(-7). 16 Let v(b) = b**2 + 2*b - 7. Give v(-4). 1 Let m(k) = k**2 - 6*k + 2. Calculate m(7). 9 Let v(m) = m**2 + 4*m - 10. Determine v(-7). 11 Let t(k) = 8*k + 39. Give t(-5). -1 Let k(l) = l**3 - 3*l**2 - 5. What is k(0)? -5 Let a(h) = h**2 + 52*h + 668. Determine a(-23). 1 Let t(c) = -2*c**2 + 51*c - 4. Calculate t(26). -30 Let g(l) = l**3 - 6*l**2 - 3*l - 1. Give g(6). -19 Let v(u) = 5*u - 86. Calculate v(18). 4 Let n(b) = -2*b**3 - 5*b**2 - 5*b + 1. Calculate n(-2). 7 Let f(q) = q**3 - 9*q**2 + 17*q - 15. Calculate f(6). -21 Let w(j) = 3*j + 60. What is w(-21)? -3 Let j(u) = 8*u**2 - 3*u + 1. Give j(1). 6 Let n(h) = h**3 + 10*h**2 - 12*h + 7. What is n(-11)? 18 Let m(i) = -27*i**2 - 756*i + 4. Determine m(-28). 4 Let r(n) = -18*n - 146. What is r(-11)? 52 Let g(q) = 2*q - 19. What is g(12)? 5 Let r(z) = -z - 65. What is r(-7)? -58 Let k(b) = 28*b**2 - 2*b + 1. Determine k(1). 27 Let j(f) = 2*f**3 - 15*f**2 - 11*f + 27. What is j(8)? 3 Let u(t) = t**3 - 4*t**2 - 8*t - 10. What is u(6)? 14 Let j(o) = 2*o**2 - 32*o + 13. Give j(13). -65 Let o(q) = 5*q**2 - 190*q - 5. Give o(38). -5 Let g(u) = -u**3 - 8*u**2 - 7*u + 7. Give g(-6). -23 Let m(q) = -118*q + 4. What is m(1)? -114 Let h(x) = -x**3 - 6*x**2 + 2*x - 37. Determine h(-6). -49 Let c(q) = -8*q**2 + 10*q + 10. Determine c(-1). -8 Let j(c) = c**3 - 8*c**2 - 2*c + 11. Give j(8). -5 Let o(x) = -2*x + 9. Give o(9). -9 Let a(b) = -b**2 - 9*b + 21. Give a(-11). -1 Let w(p) = 7*p**2 + 23*p + 5. What is w(-5)? 65 Let u(w) = w**3 + 13*w**2 + 13*w - 4. Determine u(-12). -16 Let j(p) = 9*p - 45. What is j(5)? 0 Let w(v) = -v**2 - v + 1. What is w(3)? -11 Let p(m) = -m**3 + m**2 + 3*m - 10. Give p(3). -19 Let u(r) = 15*r - 152. What is u(9)? -17 Let y(h) = h**2 - 8*h + 15. Give y(7). 8 Let q(x) = x**3 - 5*x**2 - 17*x + 9. What is q(7)? -12 Let p(f) = -f - 5. Calculate p(5). -10 Let n(f) = -f**2 - 8*f - 15. What is n(-10)? -35 Let l(z) = -z**3 + 26*z**2 - 4. Determine l(26). -4 Let n(c) = -4*c**2. Calculate n(-1). -4 Let r(z) = z**3 - 13*z**2 - 16*z + 18. What is r(14)? -10 Let m(u) = -u - 100. What is m(0)? -100 Let b(u) = -6*u + 133. Determine b(21). 7 Let p(q) = 10*q**2 + 159*q - 23. Give p(-16). -7 Let s(b) = -12*b + 297. Calculate s(25). -3 Let v(c) = c**2 + 4*c - 8. Determine v(-5). -3 Let w(t) = 13*t**2 - 5*t + 6. Give w(1). 14 Let r(f) = 36*f**3 + f**2 + f + 1. Give r(-1). -35 Let b(x) = 2*x + 3. What is b(-1)? 1 Let y(t) = 2*t**2 + 3*t. Give y(-6). 54 Let z(d) = -3*d**2 - 11*d + 22. What is z(-9)? -122 Let s(r) = -r + 2. What is s(-1)? 3 Let u(g) = g**3 - 2*g**2 - 2*g + 7. What is u(-3)? -32 Let o(x) = -x**2 - 13*x - 17. Give o(-10). 13 Let c(p) = -8*p**3 - p**2 + p - 1. Calculate c(1). -9 Let k(x) = 2*x**3 + x + 13. Determine k(-3). -44 Let y(s) = -s**3 + 13*s**2 - 14*s + 4. Calculate y(12). -20 Let x(m) = -m**2 - 11. Determine x(0). -11 Let y(h) = h**3 - 5*h**2 - 2*h + 7. Determine y(5). -3 Let d(w) = w**3 - 2*w**2 - 3. Calculate d(3). 6 Let q(l) = -l**3 - 7*l**2 + 4*l - 2. What is q(-4)? -66 Let c(r) = 2*r. What is c(-1)? -2 Let s(a) = a**3 - 6*a**2 - 9*a + 8. Calculate s(7). -6 Let z(i) = i**2 - 2*i - 10. Calculate z(5). 5 Let g(n) = -10*n**2 - 4*n - 7. What is g(-2)? -39 Let m(k) = 2*k - 21. Calculate m(11). 1 Let q(z) = z**3 + 31*z**2 - 62*z + 119. Give q(-33). -13 Let r(i) = -2*i**2 - 2*i - 25. Determine r(-4). -49 Let s(x) = -x**3 - 4*x**2 + 9*x + 2. Give s(-6). 20 Let y(n) = n + 2. Determine y(9). 11 Let l(q) = q**3 - 10*q**2 - 24*q + 7. Give l(12). 7 Let d(a) = -a**3 + 5*a**2 + 4*a - 3. Determine d(6). -15 Let y(z) = z**3 + 9*z**2 + 10*z + 21. Calculate y(-8). 5 Let h(r) = -r**3 - 7*r**2 - 6*r + 4. What is h(-6)? 4 Let d(h) = 5*h**3 + 120*h**2 - 3*h - 71. Give d(-24). 1 Let j(c) = 12*c + 435. Give j(-36). 3 Let y(z) = z**2 + 6*z - 3. Determine y(-7). 4 Let y(h) = h**3 + 8*h**2 - 5*h - 13. Give y(-9). -49 Let r(p) = p**3 - 6*p**2 + 19. What is r(4)? -13 Let h(r) = -r**2 + 25*r - 8. Determine h(10). 142 Let l(u) = u**3 - 2*u - 2. Determine l(4). 54 Let s(t) = -7*t**2 - 66*t - 71. Give s(-8). 9 Let q(s) = -s**3 - 16*s**2 + 4*s + 28. Give q(-16). -36 Let b(s) = 25*s + 228. Calculate b(-9). 3 Let l(y) = -y**3 + 6*y**2 - 8*y + 4. Calculate l(3). 7 Let d(b) = b**3 + 6*b**2 - 5*b - 18. Give d(-3). 24 Let v(b) = -2*b + 1. Calculate v(-2). 5 Let c(n) = -3*n - 1. Determine c(-2). 5 Let y(d) = -4*d + 1. Give y(-2). 9 Let f(u) = 7*u**3 + u**2 + u. Give f(1). 9 Let s(a) = -4*a**2 - 9*a + 1. What is s(-3)? -8 Let t(s) = -5*s**2 - 5*s + 15. Give t(2). -15 Let c(g) = -6*g - 103. What is c(-17)? -1 Let y(t) = -t**3 + 8*t**2 - 15*t - 4. Give y(3). -4 Let u(d) = 27*d + 46. Give u(-2). -8 Let r(o) = -o + 52. Give r(15). 37 Let t(s) = -s**2 + 2*s + 7. Determine t(4). -1 Let z(y) = -59*y**3 + y**2 + y - 1. Give z(1). -58 Let z(g) = -2*g**2 + 11*g + 8. Give z(8). -32 Let t(m) = -m**3 + 9*m**2 - 15*m + 1. Determine t(6). 19 Let n(s) = -s**2 + 3*s + 6. Calculate n(7). -22 Let o(p) = p**3 - 8*p**2 - p + 7. Calculate o(7). -49 Let h(z) = z**3 - 4*z**2 - 8*z - 1. Calculate h(6). 23 Let c(b) = -b**3 - 8*b**2 - 7*b + 2. Calculate c(-7). 2 Let p(t) = t**3 + t**2 + t + 24. Determine p(0). 24 Let v(x) = -x**3 - 9*x**2 + 12*x + 9. Calculate v(-10). -11 Let m(t) = t**3 - t + 16. Calculate m(0). 16 Let u(h) = -h**2 - 23*h - 25. Give u(-21). 17 Let b(h) = 35*h**2. What is b(-1)? 35 Let s(a) = a**3 + 5*a**2 + 9*a + 14. What is s(-4)? -6 Let p(v) = -v**2 + 10*v + 3. What is p(11)? -8 Let y(l) = 17*l**3 - l**2 - l + 1. Determine y(1). 16 Let s(n) = -156*n + 323. Calculate s(2). 11 Let n(y) = -y**
{ "pile_set_name": "DM Mathematics" }
h'th term of -290, -1165, -2628, -4679, -7318, -10545, -14360? -294*h**2 + 7*h - 3 What is the x'th term of -808, -787, -752, -697, -616, -503? x**3 + x**2 + 11*x - 821 What is the t'th term of -2, -75, -268, -641, -1254, -2167? -10*t**3 - 3*t + 11 What is the b'th term of 129, 143, 179, 249, 365, 539, 783? 2*b**3 - b**2 + 3*b + 125 What is the q'th term of 45, 62, 45, -24, -163, -390? -3*q**3 + q**2 + 35*q + 12 What is the y'th term of 80, 342, 772, 1364, 2112? -y**3 + 90*y**2 - y - 8 What is the c'th term of -38, -79, -124, -173, -226, -283, -344? -2*c**2 - 35*c - 1 What is the w'th term of -1969, -1971, -1975, -1981, -1989, -1999, -2011? -w**2 + w - 1969 What is the f'th term of 404, 423, 456, 509, 588? f**3 + f**2 + 9*f + 393 What is the d'th term of 62, 66, 70, 74? 4*d + 58 What is the b'th term of -1171, -1170, -1169, -1168, -1167? b - 1172 What is the c'th term of 15, 70, 211, 480, 919, 1570, 2475, 3676? 7*c**3 + c**2 + 3*c + 4 What is the j'th term of 7928, 7927, 7926, 7925, 7924, 7923? -j + 7929 What is the n'th term of -24, -105, -242, -435, -684? -28*n**2 + 3*n + 1 What is the g'th term of -69, -270, -597, -1044, -1605? g**3 - 69*g**2 - g What is the c'th term of 53, 144, 295, 506, 777, 1108, 1499? 30*c**2 + c + 22 What is the f'th term of 6, -9, -34, -69, -114, -169? -5*f**2 + 11 What is the l'th term of 15106, 15112, 15122, 15136? 2*l**2 + 15104 What is the z'th term of -26, -63, -130, -233, -378, -571, -818, -1125? -z**3 - 9*z**2 - 3*z - 13 What is the r'th term of -39, -44, -69, -126, -227, -384? -2*r**3 + 2*r**2 + 3*r - 42 What is the z'th term of 26, 67, 136, 233? 14*z**2 - z + 13 What is the b'th term of 13, -5, -53, -137, -263, -437? -b**3 - 9*b**2 + 16*b + 7 What is the r'th term of -5509, -11022, -16535, -22048, -27561? -5513*r + 4 What is the p'th term of -102, -199, -294, -387, -478? p**2 - 100*p - 3 What is the m'th term of 1614, 3221, 4830, 6441, 8054, 9669, 11286? m**2 + 1604*m + 9 What is the x'th term of 72, 138, 192, 228, 240, 222? -x**3 + 73*x What is the w'th term of 378, 392, 420, 468, 542? w**3 + w**2 + 4*w + 372 What is the c'th term of 314, 319, 324? 5*c + 309 What is the k'th term of 380, 759, 1138, 1517? 379*k + 1 What is the z'th term of 5, -7, -27, -55? -4*z**2 + 9 What is the y'th term of -1375, -1378, -1381? -3*y - 1372 What is the i'th term of -25, -56, -85, -112, -137, -160, -181? i**2 - 34*i + 8 What is the q'th term of -1652, -3302, -4952, -6602? -1650*q - 2 What is the m'th term of 134, 179, 226, 275? m**2 + 42*m + 91 What is the q'th term of 26, 77, 150, 239, 338, 441, 542, 635? -q**3 + 17*q**2 + 7*q + 3 What is the i'th term of -8, -11, -14, -17, -20? -3*i - 5 What is the x'th term of 7, 23, 63, 139, 263? 2*x**3 + 2*x + 3 What is the r'th term of -459, -448, -401, -300, -127, 136, 507? 3*r**3 - 10*r - 452 What is the n'th term of 7, 6, -1, -14, -33, -58? -3*n**2 + 8*n + 2 What is the n'th term of -58, -228, -520, -940, -1494, -2188, -3028? -n**3 - 55*n**2 + 2*n - 4 What is the m'th term of 10167, 20341, 30529, 40737, 50971, 61237? m**3 + m**2 + 10164*m + 1 What is the a'th term of -49, -47, -35, -7, 43, 121, 233, 385? a**3 - a**2 - 2*a - 47 What is the c'th term of 15, 32, 49, 66, 83, 100? 17*c - 2 What is the s'th term of 32, 91, 168, 269, 400, 567, 776, 1033? s**3 + 3*s**2 + 43*s - 15 What is the m'th term of 94, 169, 246, 325? m**2 + 72*m + 21 What is the k'th term of 42, 74, 92, 90, 62, 2, -96? -k**3 - k**2 + 42*k + 2 What is the t'th term of 324, 637, 940, 1227, 1492? -t**3 + t**2 + 317*t + 7 What is the j'th term of 65, 72, 83, 98, 117? 2*j**2 + j + 62 What is the r'th term of -220, -441, -662, -883? -221*r + 1 What is the a'th term of 1589, 1576, 1563? -13*a + 1602 What is the t'th term of 30, 35, 40, 51, 74? t**3 - 6*t**2 + 16*t + 19 What is the t'th term of 11, 9, 3, -7? -2*t**2 + 4*t + 9 What is the t'th term of 725, 1449, 2173, 2897, 3621? 724*t + 1 What is the x'th term of 20, 57, 84, 95, 84, 45? -x**3 + x**2 + 41*x - 21 What is the g'th term of -28, -59, -98, -151, -224, -323? -g**3 + 2*g**2 - 30*g + 1 What is the m'th term of -2639, -2634, -2627, -2618, -2607, -2594? m**2 + 2*m - 2642 What is the u'th term of -31, -40, -49, -58, -67? -9*u - 22 What is the y'th term of -728, -735, -742, -749? -7*y - 721 What is the l'th term of 62, 120, 178, 236? 58*l + 4 What is the o'th term of 293, 284, 261, 218, 149, 48? -o**3 - o**2 + o + 294 What is the h'th term of 94, 143, 144, 97, 2, -141? -24*h**2 + 121*h - 3 What is the f'th term of 589, 573, 545, 505, 453, 389? -6*f**2 + 2*f + 593 What is the n'th term of -4272, -8545, -12818, -17091, -21364, -25637? -4273*n + 1 What is the f'th term of 3026, 3025, 3036, 3065, 3118, 3201? f**3 - 8*f + 3033 What is the p'th term of -179, -176, -173? 3*p - 182 What is the m'th term of -30524, -30525, -30526, -30527, -30528? -m - 30523 What is the y'th term of 285, 2214, 7445, 17628, 34413, 59450? 275*y**3 + y**2 + y + 8 What is the c'th term of 979, 1963, 2947, 3931, 4915? 984*c - 5 What is the k'th term of -25, -115, -273, -505, -817, -1215? -k**3 - 28*k**2 + k + 3 What is the d'th term of 10, 19, 32, 49, 70, 95, 124? 2*d**2 + 3*d + 5 What is the j'th term of -73, -58, -57, -76, -121? -j**3 - j**2 + 25*j - 96 What is the t'th term of 1897, 1910, 1931, 1960, 1997? 4*t**2 + t + 1892 What is the x'th term of 4437, 4433, 4427, 4419, 4409? -x**2 - x + 4439 What is the z'th term of 134, 130, 118, 98, 70, 34? -4*z**2 + 8*z + 130 What is the p'th term of 278, 555, 832, 1109, 1386? 277*p + 1 What is the h'th term of 11, 42, 73, 104, 135, 166? 31*h - 20 What is the t'th term of -83, -60, -9, 82, 225, 432? 2*t**3 + 2*t**2 + 3*t - 90 What is the r'th term of 336, 672, 1010, 1350, 1692? r**2 + 333*r + 2 What is the o'th term of -3124, -12504, -28138, -50026, -78168, -112564? -3127*o**2 + o + 2 What is the a'th term of 4485, 4483, 4481, 4479, 4477? -2*a + 4487 What is the w'th term of -38, -317, -1084, -2585, -5066? -41*w**3 + 2*w**2 + 2*w - 1 What is the p'th term of 13, 20, 29, 40, 53, 68? p**2 + 4*p + 8 What is the v'th term of 28, 165, 540, 1273, 2484, 4293, 6820, 10185? 20*v**3 - v**2 + 9 What is the z'th term of -221, -889, -2005, -3569, -5581, -8041? -224*z**2 + 4*z - 1 What is the z'th term of -90, -194, -300, -408, -518, -630, -744? -z**2 - 101*z + 12 What is the x'th term of 1294, 2585, 3876, 5167, 6458? 1291*x + 3 What is the w'th term of -110, -209, -300, -377, -434? w**3 - 2*w**2 - 100*w - 9 What is the s'th term of 706, 707, 708, 709, 710, 711? s + 705 What is the i'th term of 28, 144, 428, 964, 1836, 3128, 4924, 7308? 14*i**3 + 18*i - 4 What is the x'th term of 8, 19, 32, 47, 64? x**2 + 8*x - 1 What is the p'th term of 21, 41, 61, 81, 101? 20*p + 1 What is the y'th term of -89, -177, -265, -353, -441, -529? -88*y - 1 What is the c'th term of -14, -111, -280, -527, -858? -c**3 - 30*c**2 + 17 What is the r'th term of -39, -88, -141, -198, -259? -2*r**2 - 43*r + 6 What is the b'th term of 16, 39, 62, 85? 23*b - 7 What is the m'th term of 579, 1154, 1729? 575*m + 4 What is the p'th term of 62, 135, 208, 281? 73*p - 11 What is the j'th term of -1029, -1025, -1027, -1041, -1073, -1129? -j**3 + 3*j**2 + 2*j - 1033 What is the a'th term of 18, 24, 30, 36, 42, 48? 6*a + 12 What is the j'th term of -494, -1008, -1522, -2036, -2550? -514*j + 20 What is the h'th term of -58, -277, -650, -1183, -1882, -2753, -3802? -h**3 - 71*h**2 + h + 13 What is the m'th term of -9, -19, -29, -39, -49, -59? -10*m + 1 What is the t'th term of 119, 235, 351, 467? 116*t + 3 What is the h'th term of -119, -90, -27, 82, 249? 2*h**3 + 5*h**2 - 126 What is the y'th term of -37, -77, -143, -247, -401, -617? -2*y**3 - y**2 - 23*y - 11 What is the q'th term of 35, 47, 59, 71, 83, 95? 12*q + 23 What is the l'th term of 371, 742, 1117, 1496, 1879? 2*l**2 + 365*l + 4 What is the u'th term of -896, -3569, -8022, -14255, -22268, -32061, -43634? -890*u**2 - 3*u - 3 What is the d'th term of 1090, 2185, 3282, 4381, 5482? d**2 + 1092*d - 3 What is the p'th term of -12, -43, -84, -129, -172, -207, -228? p**3 - 11*p**2 - 5*p + 3 What is the i'th term of -543, -1088, -1633, -2178, -2723? -545*i + 2 What is the y'th term of 59, 138, 215, 290? -y**2 + 82*y - 22 What is the p'th term of 346, 389, 460,
{ "pile_set_name": "DM Mathematics" }
4/9*6/(-4). Let s be l(c). Let q = s + -4. What is the greatest common divisor of 55 and q? 11 Suppose -3*l - 4*p = -15, l - 4*p = -5 - 6. Let d = 1 + l. Calculate the highest common factor of d and 6. 2 Suppose 5*r - 21*r = -112. What is the highest common factor of r and 63? 7 Suppose 0*a - 3*a - 15 = 0. Let v(f) = f**2 + 3*f + 6. Let o be v(a). What is the greatest common factor of o and 176? 16 Let l(n) = -n**3 - 9*n**2 + n + 12. Let i be l(-9). Suppose x - 47 = -b, b - 2*b + 51 = -i*x. What is the highest common divisor of 12 and b? 12 Let x = 111 + -103. Calculate the greatest common factor of 56 and x. 8 Suppose -r = 2*r - 45. Let f be (-18)/r*(-140)/6. What is the highest common divisor of 7 and f? 7 Let n(z) = z**2 + z - 2. Suppose -3*b - 20 = -8*b. Let p be n(b). Calculate the greatest common divisor of 9 and p. 9 Let d = -11 + 17. Let t = -2 + 7. Suppose 100 = t*s - 20. Calculate the highest common divisor of d and s. 6 Let q be 0 + 0 + 2 + -2. Let n be (2 - q)/(-6)*-75. Calculate the greatest common factor of n and 50. 25 Let m be 1/1 + 1 - 31. Let p = -5 - m. What is the highest common divisor of 3 and p? 3 Let y = 4 - -12. What is the greatest common divisor of y and 8? 8 Let n(b) = 5*b**2 - 30*b - 7. Let p be n(7). Calculate the highest common divisor of p and 4. 4 Suppose -1 = 5*u - 26. Suppose -165 = -u*n - 45. Suppose -5*z + 4*d + 88 = 0, 5*z - d + 5*d - 72 = 0. What is the greatest common divisor of n and z? 8 Suppose -c - 2*c + 36 = 0. Let u(g) = 2*g**2 + 14*g - 12. Let m be u(-8). What is the highest common factor of c and m? 4 Let c = 9 + -4. Let p = c + 6. Calculate the greatest common factor of 88 and p. 11 Let v(z) = z + 10. Let f be v(-8). Suppose 5*n = -4*g + 5, -2*g = -4*n - n + 5. What is the greatest common factor of n and f? 1 Let x = 65 + -44. Calculate the greatest common divisor of 168 and x. 21 Suppose z - 2*z + 2 = 0. Suppose -4*t + z = -2*n, -18 = -2*n + t - 2*t. Calculate the highest common divisor of 7 and n. 7 Let v(r) be the third derivative of -r**6/120 - r**5/20 + 5*r**4/24 + 5*r**3/6 + 8*r**2. Let n be v(-5). Calculate the highest common factor of 12 and n. 6 Let w(m) = -80*m. Let p be w(-1). Suppose -i - t + 2*t = -37, t = -2*i + 59. What is the greatest common divisor of i and p? 16 Let j(v) = -8*v + 8. Let u be j(-6). Let n(z) = -2*z. Suppose 23 = -5*r - 12. Let q be n(r). Calculate the greatest common factor of u and q. 14 Let b(v) = 7*v - 3. Let y be b(3). Let u be 194 + 1 + y/6. Calculate the highest common divisor of u and 22. 22 Let f(i) = -i**3 - i + 16. Let m be f(0). Calculate the highest common divisor of 2 and m. 2 Suppose 2*n + 14*n = 1408. What is the highest common factor of 11 and n? 11 Suppose 39 = -0*z + 3*z. Let w(n) = -13*n + 11. Let q be w(-8). Let k = 219 - q. What is the greatest common factor of z and k? 13 Let s(x) = -2*x + 9. Let u be s(-8). Suppose -c = 4*c - u. Suppose -3 = -c*d + 7. Calculate the greatest common divisor of 8 and d. 2 Let j be (-2*28/(-12))/((-8)/(-60)). Calculate the highest common factor of j and 385. 35 Suppose 2*a + a = 630. Let s be (54/15)/(9/a). What is the greatest common factor of s and 12? 12 Let k be -3 + 0/(-2) + 11. Let w be 2/4*(3 - -21). Calculate the highest common factor of w and k. 4 Let k = -30 + 48. Calculate the highest common factor of 144 and k. 18 Let a = 55 + -31. Calculate the highest common factor of a and 16. 8 Let i(k) = 11*k - 11*k + 57*k**2. Let v be i(-1). Let j = -41 + v. What is the highest common factor of 4 and j? 4 Let h = -76 - -116. Calculate the greatest common factor of h and 16. 8 Let k(i) be the third derivative of 11*i**5/12 + i**4/24 + 2*i**2. Let h be k(1). Calculate the highest common divisor of 7 and h. 7 Let d(w) = 8*w**3 - 5*w**2 + 5*w - 10. Let f be d(3). What is the highest common divisor of f and 16? 16 Let k(l) = 15*l**2 - 3*l + 2. Let w be k(5). Suppose w = 3*f + 2*n, 4*f + 0*n = -n + 481. Calculate the highest common divisor of 30 and f. 30 Suppose 27 = 5*i + k + 4, i + k = 7. Suppose 0 = -4*s - s - 5*u + 20, -5*u = -2*s - 6. Calculate the greatest common factor of i and s. 2 Let x = -24 - -36. What is the highest common factor of 108 and x? 12 Suppose -2*j + 3*w - 20 = 0, w + 3*w + 32 = -j. Let a = 20 + j. What is the highest common factor of a and 20? 4 Let i = 579 - 570. Suppose 5*r + 2*t = 2*r + 20, 0 = 3*r - 4*t - 14. What is the greatest common divisor of r and i? 3 Let l = 66 + -36. What is the greatest common divisor of l and 240? 30 Suppose -35 - 5 = -x. Suppose -4*z - b + 39 = 0, 3*z - 7*z + 4*b + 44 = 0. What is the greatest common divisor of z and x? 10 Suppose 3*i + k = 165, -3*i - 28 = -4*k - 193. Calculate the highest common factor of 22 and i. 11 Let y(q) = -q**3 + 4*q**2 + 6*q - 4. Let r be y(5). Let f be 8/(-3 + 4) + r. What is the highest common factor of 81 and f? 9 Suppose -2*s = s - 5*x - 13, 2*s + 4*x = -6. Calculate the highest common divisor of s and 6. 1 Suppose -26 = -4*n - 2. Calculate the highest common divisor of n and 4. 2 Let l be (1/3)/((-4)/(-2004)). Let y = l + -107. Let p be 249/21 - 3/(-21). Calculate the highest common factor of p and y. 12 Let d be (-1 - 0)*(-10)/5. Suppose 0 = v + 4*x + 1, x - 1 = -d. Let l be (-2)/v*18/(-4). Calculate the greatest common divisor of l and 21. 3 Suppose 0 = -p + 2*p + 13. Let b(x) = x**3 + 14*x**2 + 12*x - 11. Let m be b(p). What is the greatest common divisor of m and 2? 2 Let r be (36/63)/((-4)/(-42)). Calculate the highest common factor of 54 and r. 6 Let m(r) = r**2 + 9*r + 10. Let y be m(-8). Let f be y/((-2 + 5)/3). Suppose -s + 12 + f = 0. Calculate the highest common factor of s and 126. 14 Let q be 4/10 + 54/15. Suppose 0 = -q*l + 3*p - 4, -3*l + 2*p + 18 = 5*p. Suppose l + 0 = w. Calculate the highest common divisor of w and 18. 2 Suppose -7*c + 3*c = -256. Calculate the highest common divisor of c and 8. 8 Suppose -55 = -5*u + 75. What is the highest common factor of u and 182? 26 Let m(g) = -g**2 - 16*g - 5. Let s be m(-15). Calculate the highest common factor of s and 10. 10 Suppose -3*y + 5*w + 49 = w, 3*w - 57 = -4*y. Suppose -2*m + 49 + y = 0. Calculate the highest common factor of 256 and m. 32 Let f(n) = -2*n - 11. Let g be f(-8). Let l = g - 1. What is the greatest common divisor of l and 4? 4 Let k(r) = r**2 - 3*r - 17. Let o be k(7). Calculate the greatest common factor of 88 and o. 11 Let n(c) = 7*c**2 - 16*c + 8. Let o(k) = 3*k**2 - 8*k + 4. Let f(t) = 2*n(t) - 5*o(t). Let x be f(4). Calculate the highest common factor of x and 12. 12 Let q be (-1)/(-1) + -2 - 3. Let k be 21/(-6)*(-12 - q). Calculate the greatest common factor of k and 4. 4 Suppose r = 3*r - 84. What is the highest common divisor of 6 and r? 6 Let y = 28 + -21. Calculate the highest common divisor of y and 35. 7 Let p = -8 - -16. Let d be 372/21 - (-12)/42. Let f be 20/6*d/5. Calculate the greatest common divisor of f and p. 4 Suppose 0 = -l - 2*l + 27. What is the greatest common factor of 3 and l? 3 Let h be (1/(-1))/1*88. Let d = 133 + h. Calculate the greatest common factor of d and 15. 15 Let i = 188 - -82. Suppose -3*z - i = 3*n, 3*n = 4*z - 71 - 171. Let x = -51 - n. What is the highest common divisor of x and 5? 5 Let q = 11 + 2. Let a be q + -10 - (0 + 1). Calculate the highest common divisor of 3 and a. 1 Let q be 1/(-2) + 2/4. Suppose 0 = 4*i - 2*m - 4 - q, 0 = -3*i - 5*m - 10. Suppose i*u + 44 = 4*u. Calculate the greatest common factor of u and 44. 11 Let t be 24/6 - -57*3. Calculate the highest common factor of t and 70. 35 Suppose 271 = 5*g + 4*h + 84, -4*g + 143 = h. Suppose 0*i + g = 5*i. Calculate the highest common divisor of i and 7. 7 Let c = 102 + -66. Let v be (-3)/2*(-16)/6. Calculate the highest common factor of v and c. 4 Let z(a) = -a**3 - 4*a**2 - a - 11. Let w be z(-5). Suppose 0 = 6*t + 7 - w. Calculate the greatest common divisor of 1 and t. 1 Suppose 30 = -4*h - 3*z, 5*h - 3*h - 5*z = -2. Let i be 27/h*(-24)/9. Suppose 5*r = 0, -4*r + 85 = 5*m - 215. What is the greatest common divisor of m and i? 12 Let s(n) = 5*n. Let u be 7 - (-3)/(-3) - -3. Let k = u + -3. Let l be s(k). Calculate the highest common divisor of 12 and l. 6 Let w be (31 + -9)*14/4. Suppose -l - 3*l - 24 = 0. Let m be (-51)/l + (-6)/4.
{ "pile_set_name": "DM Mathematics" }
= -2*t. Solve -w - 4*w = 4*x + 31, -t*w - 5 = -x for x. -4 Let m be 0/(2 + 0)*(22 - 23). Solve -4*z = -2*a + 7*a + 41, -3*z - 12 = m for a. -5 Let l = -2 - -7. Solve -l*g + 2*p - 7 - 9 = 0, -2*p + 4 = -2*g for g. -4 Let m be 0 + -1 - 68/(-17). Solve -q + 10 = 3*z, -3*q + q = -m*z + 7 for z. 3 Let c be (-3)/(-6)*6*1. Solve 3*t - 2*a = -11, t - 5*a + 5 + c = 0 for t. -3 Suppose -d - 2 + 24 = 0. Let f = 12 - 7. Suppose -19 = -2*w - f*y, -2*w + 13 = -0*w + 3*y. Solve -q + w*v + 31 = -6*q, 5*q - v = -d for q. -5 Let d = 53 - 49. Solve d*c = -5*z - 22 - 2, -3*z = 5*c + 17 for c. -1 Suppose 4*o - 25 = -o. Solve 0 = 4*p + o*f + 27, 3*p - f + 6*f = -24 for p. -3 Suppose 0 = 3*i - 4 - 59. Let b = -16 + i. Solve 0 = -2*d - b*l + 16, -d = -4*l + 6*l - 6 for d. -2 Let x = -39 - -42. Let u(l) = -l + 5. Let k be u(3). Solve -3*c - x = 5*d, 0*c + 2*c = -k*d + 2 for c. 4 Suppose 0*y + 4*y + 80 = 0. Let o be 12/y - (-84)/15. Solve 4*t = 3*q - 10, -q - 3 = -0*t + o*t for q. 2 Let q be (4/3)/(8/12). Let b be 1 - (-2 - (-1 + 0)). Suppose -3*u - 7 = -2*l - q*u, -2*l - b*u + 10 = 0. Solve y - 3 = -4*s, -5*y - l*s - 27 = -10 for y. -5 Suppose 5*t - 2 + 12 = 2*s, -4*s + 20 = -3*t. Suppose t = -a + 3 - 1. Let f = 8 + -5. Solve -a*o + w - 4 - 11 = 0, f*w = 15 for o. -5 Suppose 3*h + 5*x - 48 = 0, -3*x = -2*h + 57 - 6. Solve -4*r - 16 = 3*c - 2*c, 0 = -3*r - 3*c - h for r. -3 Let h = 6 + -3. Suppose -c + h - 1 = 0. Solve 0 = -c*v - 2*r + 4*r, 4 = r for v. 4 Let b(t) = -16*t - 1. Let v be b(-1). Suppose 0 = -r + 4*r - v. Solve l + r = 0, 2*l = c + 5*l + 10 for c. 5 Let n(i) = -i**2 - 8*i - 8. Let r be n(-4). Solve 4*u = 2*a + r, 1 = 3*a - 5 for u. 3 Suppose 3*r = -z - 6 + 18, -3*r + z = -6. Solve r*w + 0*i + 11 = 2*i, -2*w + 2*i = 6 for w. -5 Let u = 7 + -3. Let n = u - 2. Solve n*s - s - 2*x = 5, 4*s - 20 = 4*x for s. 5 Let r(u) = -3*u**2 + 8 + 10 - 5 + 2*u**2. Let h be r(0). Let k = -4 + 7. Solve 3*i + 5 = -4*d, -5*i - k*d + 1 = h for i. -3 Let x(g) = g + 3. Let v be x(-3). Suppose -8 = -4*j - v. Solve o + 3*o = 4*a - 16, -3*a - 4*o = j for a. 2 Suppose 9*i - 4*i = -10. Let y be i/((-3)/(-6) + -1). Suppose -2*z + 7 = -9. Solve 3*q - y*o + z = 0, 4*o = 5*q + 8 + 8 for q. -4 Suppose -3*o - 2*h = 0, 2*h = -3*o + h. Suppose o = -4*a - 5 + 25. Suppose -5*y + 3*y = -4. Solve 3*s - y*s - 5*u = 24, -5 = -a*s + 2*u for s. -1 Let q(g) = -g**2 + 59. Let i be q(0). Suppose 0 = -3*l + 3*u + 33, -i = -4*l + u. Solve 22 = 5*o + 3*p, -5*o - 2*p + 39 = l for o. 5 Let j(n) = -3*n - 31. Let a be j(-11). Let b(u) = u**2 - 3*u - 5. Let v be b(5). Solve a*c - c + 20 = 4*f, 0 = c + f - v for c. 0 Suppose 10 = 3*c - 116. Suppose -4*d + d = c. Let l = -8 - d. Solve k - l*k + 23 = -2*m, 0 = 3*m + 5*k - 28 for m. 1 Suppose 0 = -0*b + 4*b. Let s = b - 0. Solve 4*z + 12 = -3*a - s, -2*z + 4 = -a for z. 0 Let r = 4 - -1. Suppose 2*b - r*b = -3*c, c - 2*b = -5. Suppose 3*g = -0*j + c*j - 25, -j = -4*g - 22. Solve 1 = -3*i + 4, -5*w + j*i = 22 for w. -4 Suppose -x + 2*x - 3 = 0. Suppose -x*d + 4*d = 5. Let z be (-20)/2*(-2)/4. Solve z = -5*v + d*c, -7*c + 4*c = -4*v for v. 3 Let b be 3 - (-398 - (1 + 1)). Suppose 5*c + 3*u + 2*u = 1015, 0 = -2*c - 3*u + b. Let w be (-9)/15 - c/(-10). Solve z - 3*z = 5*t + w, 2*t = -4 for z. -5 Let a be ((-2)/4)/((-1)/(-18)). Let n = a + 20. Suppose -3*c + 60 = 3*s, 0 = -2*c + 5*s + n + 1. Solve -4*u + 6*h + c = h, u - 5*h = 19 for u. -1 Let r be (-4 + -1)*(-48)/5. Suppose 3*k - r = -4*v - 9, -2*v = -6. Suppose 2*j = -j + k. Solve 2*t + 20 = j*c, -c + 4*c + 3*t = 0 for c. 4 Suppose -4*m - 2*c = -100, 0*c = 5*m - c - 125. Solve -3*x = -2*p + 33 - 8, 5*x = -m for p. 5 Suppose 2*x + 1 = o - 1, 0 = 5*x + 5*o - 10. Solve x = 4*n - 3*j + 11, 0 = -4*j + 9 + 11 for n. 1 Suppose -2*w = 1 + 3. Let q be (-3 + -1)*w/8. Solve d + 12 = -3*d + 4*v, d = -v + q for d. -1 Let i(y) = -y**2 - 17*y + 21. Let t be i(-18). Solve -l + 4*o - 12 = 0, -3*l - o + t = 13 for l. -4 Suppose w - 1 - 9 = 0. Solve 2*q = w, -12 = -4*h - 4*q - 0*q for h. -2 Let l(s) = -11*s**3 - 2*s**2 + s - 2. Let o be l(-2). Suppose -o + 1 = 5*b. Let p be -15*(33/b - -1). Solve p = -4*y + i, y - 3*y - 12 = -2*i for y. -4 Suppose -49*j - 15 = -52*j. Solve 2 = -r + 2*y, 4*r + j*y + 8 = 3*y for r. -2 Suppose 8 - 4 = 2*y. Suppose y*f - 6 = -2*z, -4*z + 3*f = -5*z + 9. Solve 5*n + 2*v = 9, -2*n + 3*v - 4*v + 3 = z for n. 3 Let a = -6 - -4. Let n = a + 6. Let h be -1 + -1 + 1 + n. Solve -2*k - 4*v + 14 = 0, -4*k + 2*k = h*v - 10 for k. -1 Let a be (3/2)/((-15)/(-50)). Solve -3*h + f - 11 = 2, a*h + 3*f + 17 = 0 for h. -4 Let p(i) = -7*i + 10. Let w(c) = 6*c - 10. Let l(t) = 2*p(t) + 3*w(t). Let d be l(10). Solve -5*m + 21 = -2*z, 3*z = -2*z + 5*m - d for z. -3 Let q(i) = -4 + 3 - 4*i + 4*i + 17*i**2. Let h be q(1). Solve -h = -4*t + 4*v, -t - 3*t = 4*v + 8 for t. 1 Let v(q) = 2*q**2 - q - 2. Let i be 1/1 + 3/3. Let h be v(i). Let j(t) = 3*t - 6. Let b be j(4). Solve r - b*r - 2*s = 15, 0 = h*s for r. -3 Suppose 3*d = 5*d - 5*c - 34, 0 = -3*c - 12. Solve -k = -o + 3, -d = k + o - 0*o for k. -5 Suppose 8 = 4*f - 4. Suppose -3*s = 2*u - 41, s - 3*s = -u - 39. Solve -f*x + 0*r + s = -5*r, 0 = -x + 4*r + 15 for x. -1 Let q = -25 - -38. Solve 3*y = -3*u + 2*u + q, -y + 1 = -3*u for y. 4 Let c be (-23)/(-1) + -3 + -3. Suppose -5*d - 20 + 5 = -5*l, -5*d + c = 3*l. Suppose 24 = -3*q + 7*q. Solve 5*v + 11 = -2*o, 5*v + 4*o + q = -d for v. -3 Let o = 4 - 1. Solve -v + f = -o, f - 2*f = 0 for v. 3 Suppose 4*q = 17 + 3. Suppose -q*d + 4*i = -78, -20 = -5*d + 4*d + 3*i. Let f be 0/(2 + 1 + -2). Solve f*a - 5*x + d = -a, a = 2*x - 5 for a. 1 Suppose 3*m - 4 - 2 = 0. Suppose -47 = -3*n - 17. Let d(c) = -9*c - 1. Let f be d(-2). Solve -3*a - f = -2*s, -m*a - n - 16 = -5*s for s. 4 Let b = 19 + -6. Let m = 12 + -7. Suppose 0 = -m*f + b + 27. Solve -f = 3*h + c, 4*c - 5*c - 9 = 4*h for h. -1 Let l be ((-4)/(-2) - 1) + 24. Suppose -2*u + 6 = 0, -4*w - 5*u + l = -2. Solve -1 = g + o + w, 0 = -5*g + 4*o - 29 for g. -5 Suppose -n + 0*n = -29. Suppose 0 = -0*t + t - 11. Suppose 0 = 4*s - t + 3. Solve -3*r - n = 5*y, s*y - 1 = r + 2*r for r. -3 Let y be -2 - 6/(1 + -2). Suppose -4*f + f + 1 = t, -y*f + 23 = -3*t. Let n(q) = q**2 + 5*q + 3. Let v be n(t). Solve 5*i - 20 = 0, v*o + 2*i + 7 = -0*o for o. -5 Let i(c) = 4*c - 13. Let a be i(6). Solve 2*g + 1 = 3*y + a, -y - 10 = -4*g for y. -2 Suppose 3*z = 5*c - 22, -z + 1 - 11 = -3*c. Suppose -96 = 5*r - 26. Let l be ((-12)/r)/((-3)/(-21)). Solve -2*k - 3 = 2*n + 3, 0 = -c*n - l for k. 0 Suppose 3*a + 49 = 5*v + 4*a, 0 = 5*v - 3*a - 33. Let c be (90/15)/(1/2 + 1). Solve -4*k + o + 0 + v = 0, -c*k - 4*o = -4 for k. 2 Let w = 7 + 19. Suppose -5*b + w = -54. Solve -y - 2*y + 19 = -4*k, -4*k = b for y. 1 Let m = -12 + 8. Let l be 2/m*2/(-1). Let a = l + 6. Solve j - 2*y + a = 0, -2*j + 2*y - 10 = 2*j for j. -1 Let b(y) = -17*y - 1. Let a be b(-1). Let c = -5 + 8. Suppose 2*u - u + 2*l - 8 = 0, c*u - 4 = 4*l. Solve 0*t = 2*t - 3*d + 14, a = u*t + 5*d for t. -1 Let o(c) = -c - 3. Let r be o(-5). Solve 7 = -0*m - 3*m + 4*h, 0 = -r*m - 3*h - 16 for m. -5 Suppose 4*c - 9*c + 95 = 0. Solve 4*g + c = -k, 2*g + 0*k + 2*k = -8 for g. -5 Let p(n) = -n**2 - 8*n - 6. Let r be p(-7). Let g be (-2 - (-1 + r))*-2. Suppose g*o - 2 = 3*o. Solve -6*t = 4*c - 4*t - 6, -o*c - 3 = -t for c. 0 Suppose 9 = -x + 4*i, 3*x + 3*i - 18 = -0. Suppose l + x*l = 0. Solve -p - 2*p + 4*t - 19 = l, -t + 11 = -2*p for p. -5 Let o be (-95)/(-20) - 2/(-8). Let m = o - -2. Let z = m + -2. Solve z*k - 2 = 3*l, -10 = -5*l + 3*k - 8*k for l. 1 Let j be (3/(-1) + 9/3)/2. Solve j = 5*t + 5*h - 6 - 19, 4 = 2*t - h for t. 3 Let b(w) = w**3 + 5*w**2 + 3*w - 3. Let l be b(-3). Suppose 0 = -v + 2*v - l. Solve 4 = 5*s + 3*r, -r - v = 2*r for s. 2 Suppose -7*n - 10 = -g - 2*n, -5*g = -2*n - 4. Solve -4*c + 24 = -g*c - 5*a, -c + a = -5 for c. 1 Suppose 2*l = -2*l. Let b = l - -2. Suppose -3*h + b*d + 2*d = -26, -2*d = 2*h + 6. Solve h*g = -4*k, -2*k = -5*k + 2*g for k. 0 Suppose 0*c + 2*c - 4*l = 26, 0 = 3*c - l - 19. Let p be (0 + 3/5)*c. Solve -4*q + p*n = -11, -2*q + 2 = -2*n - 2 for q. 5 Let r = -16 - -24. Let j be ((-5)/10)/((-1)/r). Solve o - 3*k = -4*o - 12, j = -2*o + 2*k for o. -3 Suppose 3*y - 14 = 6*y - 4*l, -2*y - 13 = l. Let s(f) = -f**2
{ "pile_set_name": "DM Mathematics" }
digit of 11149? 1 What is the thousands digit of 52032? 2 What is the hundreds digit of 52483? 4 What is the units digit of 1921? 1 What is the hundreds digit of 42698? 6 What is the units digit of 2144? 4 What is the thousands digit of 1146? 1 What is the hundreds digit of 93933? 9 What is the tens digit of 2395? 9 What is the thousands digit of 1419? 1 What is the units digit of 5364? 4 What is the units digit of 33083? 3 What is the tens digit of 91343? 4 What is the units digit of 20805? 5 What is the tens digit of 2026? 2 What is the thousands digit of 1065? 1 What is the units digit of 11254? 4 What is the units digit of 5040? 0 What is the ten thousands digit of 12839? 1 What is the ten thousands digit of 22993? 2 What is the units digit of 2467? 7 What is the hundreds digit of 3530? 5 What is the thousands digit of 1464? 1 What is the thousands digit of 78778? 8 What is the hundreds digit of 966? 9 What is the hundreds digit of 1762? 7 What is the tens digit of 14316? 1 What is the units digit of 2873? 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1 What is the tens digit of 8124? 2 What is the tens digit
{ "pile_set_name": "DM Mathematics" }
47 - 45953? -46000 In base 12, what is -2b6a5 - 6? -2b6ab In base 12, what is -aa021a + 5? -aa0215 In base 16, what is -5e - -3e4? 386 In base 15, what is 0 - b657? -b657 In base 12, what is -6 - -5841? 5837 In base 7, what is -24 - -1650? 1623 In base 14, what is -35a + 46? -314 In base 15, what is 1d2c6 - -2? 1d2c8 In base 3, what is 100110 + 10101012? 10201122 In base 16, what is 81ac + -2? 81aa In base 14, what is c04 + 29? c2d In base 4, what is 1132 + 1120020? 1121212 In base 3, what is -121 - -10122101001? 10122100110 In base 2, what is -111 - -100111110000111? 100111110000000 In base 10, what is -48 - -33139? 33091 In base 3, what is -20010011110 - -1? -20010011102 In base 16, what is 60 - d2e? -cce In base 15, what is 8 + -1834? -182b In base 12, what is 5 - -496a? 4973 In base 9, what is -5 - 10510? -10515 In base 16, what is -1 + d41e? d41d In base 5, what is 31141 + -301? 30340 In base 6, what is -1150415 + -232? -1151051 In base 9, what is -5 - -153861? 153855 In base 15, what is 7 + -9a8? -9a1 In base 9, what is 2 + -30326? -30324 In base 8, what is 1144 + 2? 1146 In base 2, what is -100110001100 - 0? -100110001100 In base 13, what is 7050 - 1? 704c In base 16, what is -29fe - -10? -29ee In base 11, what is -a + -15a? -169 In base 14, what is 4 + b32b8? b32bc In base 7, what is 325541 + -1? 325540 In base 15, what is 129 + 191? 2ba In base 4, what is 211130 + -21? 211103 In base 13, what is -546 + 16? -530 In base 6, what is 2 - -1353014? 1353020 In base 10, what is -20151 + -2? -20153 In base 15, what is 4a16 + -13? 4a03 In base 14, what is 163 + bb? 240 In base 8, what is 446730 + -4? 446724 In base 2, what is 1010000 - 11100010011? -11011000011 In base 10, what is 4882 - 0? 4882 In base 6, what is 13 - 2311532? -2311515 In base 9, what is 72403 + 123? 72526 In base 9, what is 2385827 - -1? 2385828 In base 2, what is 10010001011001010 - -1001? 10010001011010011 In base 13, what is 57a + 44? 5c1 In base 4, what is -3 + 101121102? 101121033 In base 15, what is 60bad - -4? 60bb2 In base 14, what is 7 + 4a695? 4a69c In base 14, what is -1d0 - -27? -1a7 In base 10, what is 4193 + -32? 4161 In base 10, what is -154 + 1125? 971 In base 12, what is 1b7b8 - 26? 1b792 In base 16, what is -d8 - 1b6? -28e In base 9, what is -1 + 360441? 360440 In base 11, what is -18a217 + -2? -18a219 In base 15, what is -5 + -27de? -27e4 In base 13, what is a + 47? 54 In base 12, what is 19a + a36b? a549 In base 9, what is 85 + -11712? -11616 In base 6, what is 130 - -1232? 1402 In base 9, what is 4505 - -26? 4532 In base 15, what is 50 + -7a61? -7a11 In base 14, what is -95 + -15ab? -1662 In base 9, what is 267 + -7188? -6821 In base 13, what is -b1 - 1a676? -1a757 In base 13, what is -248 - -39? -20c In base 9, what is 2863 + -135? 2727 In base 16, what is f40f - -4? f413 In base 3, what is -2 - -12012100? 12012021 In base 11, what is -627 - -a? -618 In base 5, what is -103114 + 23? -103041 In base 6, what is -111444 + -13? -111501 In base 7, what is 26105 + 11? 26116 In base 3, what is -12 + -12221001021? -12221001110 In base 3, what is -10122010 + -12? -10122022 In base 7, what is 1603 + -52? 1521 In base 2, what is 1001 - -1110000011001? 1110000100010 In base 13, what is 11c49 + -2? 11c47 In base 5, what is 103200 - 113? 103032 In base 16, what is 8 + -290? -288 In base 13, what is 5 - -470782? 470787 In base 10, what is -27698 - -82? -27616 In base 3, what is 100 + 2002002121? 2002002221 In base 3, what is 212111 + 2000? 221111 In base 11, what is -17a + -120? -29a In base 10, what is -4 - -54304? 54300 In base 2, what is 110010001100001011 - -10? 110010001100001101 In base 11, what is -12139 + 19? -12120 In base 3, what is 11212002220 - 1020? 11212001200 In base 12, what is ab91 - 9? ab84 In base 7, what is -1623 + -3311? -5234 In base 12, what is ba + 16? 114 In base 3, what is 1122 + 202100010? 202101202 In base 2, what is 101001000001100100 + -11? 101001000001100001 In base 4, what is 3230312203 - -3? 3230312212 In base 15, what is 15bd89 - -1? 15bd8a In base 13, what is 5800 - 1? 57cc In base 2, what is 10000101111011110010 + 11? 10000101111011110101 In base 11, what is 3 - 2a435? -2a432 In base 10, what is 5 + 346645? 346650 In base 7, what is 1615 + 313? 2231 In base 9, what is 15 - -426450? 426465 In base 11, what is 1267 + 126? 1392 In base 10, what is 35693 - -21? 35714 In base 16, what is bf + 3a1? 460 In base 4, what is -11103113122 - -11? -11103113111 In base 7, what is -15 + 2443060? 2443042 In base 5, what is 202 - -24301? 30003 In base 15, what is 2c5 - -458? 72d In base 4, what is -2022 + 1311111? 1303023 In base 13, what is -12 - -11764? 11752 In base 4, what is -13310233 + 11? -13310222 In base 3, what is 120 + 11102010001? 11102010121 In base 12, what is -6 - 10090? -10096 In base 13, what is -3c419 - 6? -3c422 In base 4, what is -221 - -1010332? 1010111 In base 15, what is -24 + -5e6? -61a In base 4, what is 323 + -1030111? -1023122 In base 6, what is 1 + 13042? 13043 In base 11, what is -58 + -819? -876 In base 5, what is 201442 + -3? 201434 In base 10, what is -2055 + -927? -2982 In base 4, what is -3110 + 1022022? 1012312 In base 2, what is -100010 + 100100101? 100000011 In base 2, what is -10101 - 101001010100? -101001101001 In base 16, what is 3e - -342? 380 In base 4, what is -1 - 11223032? -11223033 In base 7, what is -3035242 + -2? -3035244 In base 9, what is -24372 + -4? -24376 In base 13, what is 37 + ab2? b19 In base 16, what is -c82b2 - 5? -c82b7 In base 15, what is 8c - 48? 44 In base 3, what is -111101002 + 20? -111100212 In base 12, what is 4a52 - -b? 4a61 In base 16, what is -22 + -371? -393 In base 11, what is 15 - -1006? 1020 In base 14, what is 68b71 + -4? 68b6b In base 14, what is 2d - -6dc? 72b In base 6, what is -3415 - 54? -3513 In base 3, what is -2020112 - 21210? -2112022 In base 13, what is -b - -1415? 1407 In base 13, what is 76a + 1? 76b In base 12, what is -3 - 41b1? -41b4 In base 10, what is -4 - 1642? -1646 In base 15, what is 3 + 297d2? 297d5 In base 10, what is 161 + -11? 150 In base 8, what is -1011402 + 0? -1011402 In base 8, what is 10 - -2563? 2573 In base 5, what is 303103 + 1? 303104 In base 5, what is -20 - -2112322? 2112302 In base 6, what is -2 + -152533? -152535 In base 10, what is -32 - 13226? -13258 In base 11, what is 2047 - -4? 2050 In base 7, what is 233331 - 3? 233325 In base 5, what is -3210024 - -4? -3210020 In base 14, what is 10 - 2c? -1c In base 3, what is -21 + -12221100? -12221121 In base 14, what is -6db7b - b? -6db88 In base 14, what is 2a0 + a5? 365 In base 16, what is 5 + -349? -344 In base 10, what is 915 - 2749? -1834 In base 4, what is 12021 - -1322? 20003 In base 2, what is -101 - -111011010100? 111011001111 In base 6, what is 52424 - -5? 52433 In base 13, what is -56b6 + 1? -56b5 In base 16, what is -52c + 2ed? -23f In base 6, what is -113120 + 2? -113114 In base 12, what is -27 - -a17? 9b0 In base 4, what is 1320 - 13031? -11111 In base 11, what is -18 - -21345? 21328 In base 7, what is 2354 - -13623? 16310 In base 10, what is -30 - -1051? 1021 In base 7, what is -1353 - 113? -1466 In base 2, what is 1000011000110 + 1110? 1000011010100 In base 16, what is b9 - -224? 2dd In base 14, what is -c4 + -d9? -1bd In base 10, what is 2268 - 29? 2239 In base 10, what is 5 - 158878? -158873 In base 16, what is -a - 117? -121 In base 11, what is 257a + -57? 2523 In base 12, what is -41961 - -4? -41959 In base 11, what is -153 - 4446? -4599 In base 13, what is 1ac6 - 39? 1a8a In base 7, what is -1002443 - 1? -1002444 In base 16, what is 16c - -44? 1b0 In base 8, what is -4 - -10641? 10635 In base 3, what is -210200120 + -1022? -210201212 In base 13, what is 4 + 1a009? 1a010 In base 11, what is -2 - -22156? 22154 In base 8, what is 3 + 3063? 3066 In base 8, what is 2 + 243406? 243410 In base 14, what is 65b - 1b? 640 In base 8, what is 3 + 2001? 2004 In base 15, what is -11d14 - -2? -11d12 In base 5, what is 10 - -2310234? 2310244 In base 10, what is -14863 + 3? -14860 In base 2, what is -1100001000 + 1111? -1011111001 In base 6, what is 25055 + 120? 25215 In base 16, what is 12faf + 2? 12fb1 In base 9, what is 22 - -206? 228 In base 14, what is -a9 - -4356? 428b In base 5
{ "pile_set_name": "DM Mathematics" }
or h. 1 Suppose 51*g = 315*g - 101112. Solve -399*v + 144 = -g*v for v. 9 Let t be (-14)/(-7) - (0/2)/(-1). Let v = -632 - -637. Solve -r - v = -t for r. -3 Let v be 2 + (-360)/(-14) - 6/(-21). Suppose -v = -5*u - y - 8, 3*y = u - 4. Solve -u*j + 4 = 8 for j. -1 Suppose 2*z + 132 = 13*z. Suppose -z*s - 15 = -111. Solve -6*c + s = 26 for c. -3 Let s(w) = 6*w - 6. Let z(n) = n**3 - 17*n**2 + n - 15. Let h be (1 - (-19 + 2)) + -10 + 9. Let i be z(h). Let d be s(i). Solve d*p - 5 = p for p. 1 Let o(d) = -d**3 - 10*d**2 - 10*d - 5. Let x be o(-9). Let w = 3153 - 3139. Suppose -4*m = -3*p - 14, -3*p - 12 = 3*m - 6*m. Solve -x*k = -w - m for k. 4 Let j(b) = -22*b + 73. Let f be j(3). Suppose 2*u - 12 = -2*u, 2*u = -3*h + 15. Solve -1 = h*c - f for c. 2 Let z be 120 - ((-24)/(-11) - 2/11). Suppose 5*u + z = 13. Let o = 29 + u. Solve -n + o = n for n. 4 Let l(f) = -f**2 - 127*f - 744. Let s be l(-8). Solve s = -70*r + 18*r for r. -4 Let f(t) = 5*t**3 + 2*t**2 + 2. Let h be f(2). Suppose 3*g - h = -5. Solve 0 = o - g + 14 for o. 1 Let w(b) = -b - 1. Let v be w(-4). Let z be 6/((-4)/(-9)*(-15)/(-10)). Suppose 11 + 16 = z*r. Solve -12 = v*q - r for q. -3 Suppose 26*y - 170 - 39908 = 16368. Solve -2157*t + y*t = 70 for t. 5 Let n(r) = 6*r - 4. Let d(f) = f + 1. Let m(y) = -10*d(y) + 2*n(y). Suppose 0 = -5*z - 5*s + 35, z - 2*s - 17 + 4 = 0. Let w be m(z). Solve w*k + k = 2 for k. 2 Let r(h) = 39*h + 1091. Let c be r(-27). Solve -49*g = -c*g + 55 for g. -5 Suppose -475*n - 196 = -479*n. Solve 22*t = 15*t + n for t. 7 Let l = 2993 - 2984. Solve -l*a = -14*a + 30 for a. 6 Suppose -240*f + 236*f + 32 = 0. Suppose 13*a + 6 = f*a + 3*s, -5*s + 10 = a. Solve -4*p + a*p = 0 for p. 0 Suppose -5*w = 4*t - 35, -67*w = -70*w + 4*t + 53. Solve 15*a = 7*a - w*a for a. 0 Suppose -5*n + 90*j = 87*j - 7, -5*j + 13 = 4*n. Solve -17*y - n*y = -95 for y. 5 Let r be 10/(-4)*6/45*-6. Suppose 3*h = z - 14, -10*h + 7*h - 19 = -r*z. Solve 3 = -z*g + 23 for g. 4 Let v be (5 - 12/2)/((-2)/6). Suppose 25 = v*y + 19. Let m(i) = i + 6. Let z be m(-6). Solve z = -y*j + j - 4 for j. -4 Let x be 24/(-60)*15/18*-2187. Solve -737*q - 40 = -x*q for q. -5 Suppose 4*z = 3*a + 12, -z + 1 - 5 = a. Let t(o) = -2*o**3 + o - 4. Let h be t(-2). Suppose z = -7*p + 4 + h. Solve -2*y - 16 = p*y for y. -4 Suppose x = 12 - 13, x = d - 7. Solve 0 = d*k + 25 - 13 for k. -2 Let r = 3 + -3. Let f = r + 16. Let w(y) = 3*y**3 - 7*y**2 - 6*y + 9. Let m be w(3). Solve -f - m = 5*z for z. -5 Let t = -3174 + 3179. Solve 5*d + t = 6*d for d. 5 Suppose -4392 = 155*b - 216*b. Solve -b*o = -64*o - 24 for o. 3 Let f = 44 + -46. Let r(m) = -2*m**2 + 7*m + 16. Let c be r(f). Let s be (-5)/(10 - 5) - c. Solve 2*w - s = w for w. 5 Let w(h) = 17*h**2 + 22*h + 4. Let a(s) = -14*s**2 - 16*s - 3. Let m(g) = -4*a(g) - 3*w(g). Let n be (2/4)/(2/4). Let v be m(n). Solve 0 = -4*c + v*c - 4 for c. -4 Let p be (-15)/1*7/(-21). Let z be 2*(-5 - (-2 - (-55)/(-10))). Solve 6*g - p*g + z = 0 for g. -5 Let c = 3557 + -3536. Solve -c + 41 = 4*k for k. 5 Suppose 5*j - 3*b - 67 + 6 = 0, 4*b = 4*j - 44. Let h be 4 + (5 + 20/(-4))/(-4). Let k(o) = -o**2 + 8*o - 5. Let s be k(7). Solve -h*m + j = s for m. 3 Let d be (-2)/(-5) - 16/(-10). Let t = 133 + -77. Let s be 5/(5 + t/(-12)). Solve d*n - s = -n for n. 5 Suppose 140*j = 144*j - 5*d - 55, 3*d = -5*j + 115. Solve 19*r + j = 29*r for r. 2 Suppose -674 = -4*s - 2*f, -f - 34 = -s + 139. Solve -13*w - s = 21*w for w. -5 Suppose 8*u - 3*s = 3*u - 341, -3*u + 4*s - 198 = 0. Let h be u/8 - 7/28. Let d = h - -37. Solve 5*r - d = -8 for r. 4 Suppose 5*r = c + 22, -3*c = 3*r - 30 + 168. Let k = c - -24. Let p = -12 - k. Solve -z + p = -4*z for z. -2 Suppose 10 = 4*a + 2. Suppose -2*p = -4*g - 20, -85*p + 40 = 4*g - 81*p. Solve g = a*u - 6 for u. 3 Suppose -3*n - 11 - 616 = 0. Let a = -115 - n. Let f = 97 - a. Solve f*k = -0 + 12 for k. 4 Suppose 0 = w - 0*j - 3*j - 15, -28 = -4*w - 4*j. Let p be (-2)/w + 452/9. Let k = p - 49. Solve 0*b = -b + k for b. 1 Suppose -13*d + 3837 = 327 - 143. Solve d = -6*y + 275 for y. -1 Let u be 3 - (-11)/((-33)/(-39)). Solve -2*f - u = -8 for f. -4 Suppose 458 = -21*x - 1621. Let q = x - -133. Solve -q*y + 39*y = -20 for y. -4 Suppose 4 = 2*i, 3*b - 4*i = 7*b - 348. Suppose -l + b = 4*p, -p = -5*p + 4*l + 80. Solve 11 = -5*f + p for f. 2 Let m(j) = j**2 + 6*j + 2. Let w be m(-5). Let r(o) = o**3 + 6*o**2 + 5*o + 3. Let g be r(-5). Let p = g + w. Solve 2*s - 13 + 5 = p for s. 4 Let v be 0/((-1 + -3)/(-4)). Suppose v = -a + 1, 4*l + 6*a - a - 17 = 0. Solve l*c + 2 = 8 for c. 2 Suppose 0*c + 4*c = 24. Suppose -4*l = -12, -21*l - 25 = 5*j - 26*l. Let a be ((-3)/(j + -1))/((-11)/(-33)). Solve a*i + c = -0*i for i. -2 Suppose -z + 2*n = 3*n - 2, -4*n = -5*z + 46. Suppose -13*f + 1134 = 224. Suppose 3*o = -12 + 6, -4*d + 5*o + f = 0. Solve z*k = 3*k - d for k. -5 Let w be 6*(18/12)/3. Suppose 0 = -2*o + 6, 0*o + 11 = 4*p - w*o. Solve -p*s - 14 - 1 = 0 for s. -3 Suppose 32 = -2*k - 8. Let l(u) = -u**3 - 20*u**2 + u + 20. Let n be l(k). Suppose -5*h = -3*h. Solve h = 2*c - n - 6 for c. 3 Let p(y) = -19*y + 61. Let t be p(3). Let w be 2/1 + -1 - 1. Solve f - t = -w*f for f. 4 Let l be 13/(-91) - (13 + ((-19184)/77)/8). Let b be (-192)/(-9) + (-4)/(-6). Solve -l = 2*q - b for q. 2 Let o be (-1)/4 + 65/4. Suppose 101 - 21 = -5*q. Let k = o + q. Solve k = 5*j - 10 - 0 for j. 2 Let z = -130 - -130. Suppose 3*w + 7*u - 2*u = 19, -w + 4*u - 5 = z. Solve -w*h + 8*h = -20 for h. -4 Suppose -279 + 30 = -18*j + 57. Solve -5 + j = -12*c for c. -1 Let w(y) = 5*y + 15. Let l(d) = d + 1. Let t(h) = -4*l(h) + w(h). Let o(n) = n**3 - 9*n**2 - 10*n - 9. Let s be o(10). Let f be t(s). Solve -k = -f*k - 5 for k. -5 Let g(f) = 2*f**2 + 15*f - 3. Suppose 2 = -2*l, -5*h - 4*l + 6*l = 38. Let o be g(h). Suppose 50 = o*x + 5*n, 0 = -x - 0*x + 4*n. Solve 0*q - x = 4*q for q. -2 Suppose f - 2 = -5*k, 2*k - 3*f = -0*k - 6. Suppose -3*o = -3*u - 42, 118 - 223 = -14*o + u. Solve o*l - 11*l = k for l. 0 Let r(b) = 79*b - 607. Let c be r(8). Solve -c*g = -7*g + 54 for g. -3 Let h = 19 - -41. Suppose 8*w = -4*w + h. Solve 0*p - 15 = w*p for p. -3 Let d(x) = -5 + 3 - 15*x - x**3 - 3*x**2 - 7 + 2*x**3. Let w be d(6). Solve 6*a + 3 = w for a. 1 Let x = -7701 + 7713. Let b = 147 - 75. Let a = -40 + b. Solve x = -5*q + a for q. 4 Suppose -3*s + 1 = -5. Suppose s*n = 10 + 4. Suppose n*a - 11*a + 64 = 0. Solve -9*o = -13*o + a for o. 4 Suppose -6*m + 18 = -2*m - 3*t, -m = t - 8. Let i(l) = 2*l**3 + 82*l**2 - 74*l + 429. Let n be i(-42). Solve 0 = 3*u - m - n for u. 5 Let u be 1 - 12 - 156/(-12). Solve 13*c + u*c = 0 for c. 0 Let u be 38/(-57) - (-250)/15. Solve -12*h = -u*h for h. 0 Suppose -24*u + 23*u + 48 = 0. Let m = u + 19. Let i = m - 65. Solve 0 = -4*k + 5*k - i for k. 2 Suppose -5*m + 47 = -4*a + 7*a, 2*m - 2*a = 6. Solve -3*d + 15*d = -m*d for d. 0 Suppose 35*s - 10 = 45*s. Let t(o) = 0*o + 2 - 3*o + 3*o**2 + 4*o. Let h be t(s). Solve 1 = -h*q + 5 for q. 1 Let r be (-2 - 3) + 3 + 10. Let m(j) = 2*j**3 - 31*j**2 - 17*j + 21. Let c be m(16). Suppose a + r = c*a. Solve a*u + 9 = -u for u. -3 Let t(m) = 2*m - 1. Let l = 25 + -24. Let u be t(l). Let w = u - 0. Solve 4 = -h + w for h. -3 Suppose -408 - 398 = -13*c. Suppose 45*g = c*g - 476. Solve 6*d = 2 + g for d. 5 Let t(d) = 3*d + 4. Let z(o) = -1. Let j(w) = -3*t(w) - 6*z(w). Let f be j(-9). Let c = -54 + f. Solve 4*h = 1 - c for h. -5 Let n(m) = -2*m**2 - 4*m + 5. Let g be n(-5). Let q be (-365)/g + (-2)/(-5). Suppose 4*y - q = c, 13 = 5*y - 12. Solve c*a = -5 - 5 for a. -2 Let y = 2006 + -1989. Solve 9*n + 10 = -y for n. -3 Let t be (-3102)/10 + 20/(-250)*10. Let r = -310 - t. Suppose -2*n + 4 = 0, 5*a - 4 = a - 2*n. Solve a = 2*w - r - 3 for w. 2 Let k = 6 + -3. Let m = 21 + -20. Suppose 3*x - 6*i + 11*i - 49 = 0, -3*x = -5*i + m. Solve -x - 7 = -k*t for t. 5 Suppose 117*h - 54*h - 441 = 0. Solve 7*j - 5*j = h*j for j. 0 Let k(c) = -c + 17. Let r(t) = -t + 14. Let m(q) = -2*k(q) + 3*r(q). Let y be m(4). Solve -8 + y = o for o. -4 Suppose 206 - 2569 = -102*b + 6715. Solve 163*x + 370 = b*x for x. -5 Let d(w) = -w**3 - 4*w**2 - w + 12. Let i be d(0). Solve 8*m + 20 = i*m for m. 5 Suppose -y - 9 = -0. Let b(n) = 4*n - 5. Let j be b(y). Let m = 41 + j. So
{ "pile_set_name": "DM Mathematics" }
/t**(-8))**(-2/23) assuming t is positive. t**(-695/23) Simplify (w*w**24/w*w*w**8*w)**1 assuming w is positive. w**34 Simplify (p**(2/9)/(p**9*p*p))**(1/54) assuming p is positive. p**(-97/486) Simplify r**(3/4)/r**(-3/4)*r*r**19*r*r*r**(-5/2)*r assuming r is positive. r**22 Simplify (m**(-12)/m**18)/((m/m**19)/m**16) assuming m is positive. m**4 Simplify (n**4)**(-1/29)/((n*n**(-1/3))/n**(5/4)) assuming n is positive. n**(155/348) Simplify ((u**(-6/17)/u)/u)**(-1/22)*(u*u**(2/59))**48 assuming u is positive. u**(548716/11033) Simplify (h**3)**5*h**(4/9)/h**(3/7) assuming h is positive. h**(946/63) Simplify ((x/(x/(x/x**(-19)))*x**(-2/13))**(-40))**(-3/8) assuming x is positive. x**(3870/13) Simplify (t**(2/7)/t)**(3/13)*(t**(-7/3))**(-7/5) assuming t is positive. t**(4234/1365) Simplify (f**4/(f*f*f**(-13)))/(f**(-3)*f)**31 assuming f is positive. f**77 Simplify (u**(-12))**(-10)*(u/(u*u/u**(-6)))**(-3) assuming u is positive. u**141 Simplify (y**(-1)/y)**(-36)/(y**0/(y**(-1/3)/y)) assuming y is positive. y**(212/3) Simplify (d/(d/(d**(24/5)/d))*((d/(((d**(-2/7)/d)/d)/d))/d*d*d)/d)**37 assuming d is positive. d**(10471/35) Simplify (x**(3/16)*x)/x**(3/16)*x/(x/(x*x/(x**(-1/16)/x)))*x**(1/7) assuming x is positive. x**(471/112) Simplify ((f/(f/f**(-2/3)))**28/(((f/f**(-3))/f)/(f/(f*f/f**(2/11)))))**(-2/103) assuming f is positive. f**(1484/3399) Simplify ((c*(c/(c**9/c))/c)/c*c**12*c**12/((((c*c/(c/c**(-5))*c*c)/c)/c*c)/c))**(-8/3) assuming c is positive. c**(-160/3) Simplify ((n*((n**(-2/5)/n)/n)/n*n**(-4/5))/(n**0)**28)**(-30) assuming n is positive. n**96 Simplify (((c*c*(c/c**(-5))/c*c)/c)/c)**41/(c**(1/23)*c**11) assuming c is positive. c**(5404/23) Simplify ((v*v**(-5))/v*v)**(-7/2)*(v/(v/(v*v/(v*v*v**(-20)/v*v))))/v**10 assuming v is positive. v**24 Simplify ((r*r**(-8))/(r/(r**(1/14)*r)))**(-49) assuming r is positive. r**(679/2) Simplify (l**(-1/25))**3*l**8*l**(-33)/l*l assuming l is positive. l**(-628/25) Simplify ((((l*l**(11/8))/l)/l)/l**(-13))**2 assuming l is positive. l**(107/4) Simplify ((m*m**(-3)*m*m/(m*m*m**(7/6)))**38)**(-1/23) assuming m is positive. m**(361/69) Simplify u/(u*u/u**(14/3)*u)*u/u**(-6/7)*u*(u*u/(u**(-5)*u*u))**(-4/3) assuming u is positive. u**(-8/7) Simplify ((((z/z**(-1/10)*z)/z*z)/z**(1/3))**11)**(2/77) assuming z is positive. z**(53/105) Simplify ((u/((u**34/u)/u))/(u**(-3/11)/u))**(-4/7) assuming u is positive. u**(1308/77) Simplify (s*s**(-5/3)*s*(s*s**(-1))/s)/(s**(-7/2)/(s/(s*s**15/s))) assuming s is positive. s**(-67/6) Simplify (h**(-15))**(-8)*(h**(2/81)*h)/(h/h**(-30/7)) assuming h is positive. h**(65624/567) Simplify (y*(y**(-10/7)*y)/y)/y**11*y**(-7)/y**(3/7) assuming y is positive. y**(-132/7) Simplify (j**(-1/13)*j**(-2)*j*j*((j**(-1)*j)/j)**(-20))**(-4/9) assuming j is positive. j**(-1036/117) Simplify ((p**(-1/2)/((p*p**(-4))/p*p))/(p**(6/11)*p**(-2)))**11 assuming p is positive. p**(87/2) Simplify (p*p**1)**(-6/5)/(p/(p*p**17))**(-26) assuming p is positive. p**(-2222/5) Simplify (d**(6/5)*d**(6/13))/((d**(1/9)/d)/(d*d**(-23))) assuming d is positive. d**(-11378/585) Simplify (x**22)**(-3/11)*(x/x**(-30))/((x**(13/3)/x)/x) assuming x is positive. x**(68/3) Simplify x/x**(-5)*x/x**(-7/4)*x**(4/3)*x*x/(x*x**(-4)) assuming x is positive. x**(181/12) Simplify w*w**(2/7)*w**(2/7)*w*w*w*w*(w/(w/(w*w**(-1/8)*w*w)))**(1/3) assuming w is positive. w**(1097/168) Simplify (j**9)**(-1)*j*j**(4/15)*j*j*(j**(-8)*j)/j assuming j is positive. j**(-206/15) Simplify ((s**(-6)/s**15)**(-27))**(2/19) assuming s is positive. s**(1134/19) Simplify (h**29/(h*h**0/h*h*h))**(17/3) assuming h is positive. h**153 Simplify (x**(2/13)/x**3)/(x**(-3)/(x*x/x**(4/3))) assuming x is positive. x**(32/39) Simplify (a**2*(a*a/(a*a**(-6/23)*a))/a*a*a)/(a**(-2/25))**(-6) assuming a is positive. a**(1599/575) Simplify t/(t/((t**8*t)/t)*t)*t**(-6)*(t*t**(2/11)*t)**(-34) assuming t is positive. t**(-805/11) Simplify (n/(n/(((n/(((n*n*n/(n*n**(-8/5)*n*n))/n)/n)*n)/n)/n))*n**(3/5))/((n*n**(-1/3))/n*n*n**(-13)*n) assuming n is positive. n**(37/3) Simplify (t**(-2)/t)**(32/5)*(t/t**(2/23))**43 assuming t is positive. t**(2307/115) Simplify (j**(-2)/j)**(-20/7)*j/j**(-6/7)*j*j**(-11/4)/j assuming j is positive. j**(215/28) Simplify (i/(((i/((i/i**(-1/10))/i*i))/i)/i*i))/i**(-29)*i**(-22)*i**(-12) assuming i is positive. i**(-29/10) Simplify ((d*d/d**(-6))/d)/d*d/(((d/d**12)/d)/d)*d**(-1)/d**(1/4) assuming d is positive. d**(75/4) Simplify (w**(1/2)*w)**(-16/9)/((w*w**(1/9))/w**1) assuming w is positive. w**(-25/9) Simplify (((a**(-1/4)*a)**(-24))**18)**2 assuming a is positive. a**(-648) Simplify (h*h/h**(-4))**(1/36)/(h*h/(((h*h/(h**(1/3)*h)*h*h)/h*h)/h))**(-22/3) assuming h is positive. h**(47/18) Simplify y**(-5)/(y*y**(-4))*y**(-1/16)/y*y**9 assuming y is positive. y**(95/16) Simplify ((b*b**(-3/4))/b)**(1/10)*(b*(b**(1/5)*b)/b)**16 assuming b is positive. b**(153/8) Simplify (((g**(-1/5))**(17/4))**42)**26 assuming g is positive. g**(-4641/5) Simplify ((g**(1/4))**(13/5)/((g*((g*g/((g/((g/(g**9/g*g)*g)/g))/g))/g)/g*g)/(g*g/g**1)))**(3/16) assuming g is positive. g**(459/320) Simplify ((l**3*l)**(3/4)/(l**(-6)*l/(l/(l*(l**(-9)/l)/l))))**24 assuming l is positive. l**456 Simplify (c**(-1/4)*c/(c/c**(1/4))*(c**0/c)/(c/c**2))**46 assuming c is positive. 1 Simplify ((z*z/z**(-12))/(z/(((((z/z**13)/z)/z*z)/z)/z)*z))/(z/((z*z**(-2/7))/z))**(1/68) assuming z is positive. z**(-1437/476) Simplify (s**(-3/13))**6*((s/(s*s/(s**2/s))*s)/s)**(12/13) assuming s is positive. s**(-18/13) Simplify ((d**(3/4)*d**(-14))**(-2/57))**(-4/19) assuming d is positive. d**(-106/1083) Simplify ((k**(-1)*k)**(-10)*(k*k**3)**29)**3 assuming k is positive. k**348 Simplify (((m**(3/4))**9)**(-2/23))**(-1/90) assuming m is positive. m**(3/460) Simplify (r/(r*r**(-8))*r*r**(-2/35))**(1/5) assuming r is positive. r**(313/175) Simplify (u*u**(-2/11)*u*u)/(u*u**(6/11)*u)*(u/u**8*u*u*u)**(-8) assuming u is positive. u**(355/11) Simplify ((u*u**(-1/8))**24)**(-16/7) assuming u is positive. u**(-48) Simplify ((o*o/o**(-8)*o)/o)**(5/11)*o/(o/o**(-6/7))*o**(-3) assuming o is positive. o**(53/77) Simplify (r**(1/17)/(r**(-4)*r))/(((r*r*r**(3/5))/r)/((r/(r/(r*r/r**(2/27)))*r*r)/r)) assuming r is positive. r**(10063/2295) Simplify ((h**3/h*h/(h*((h*h**(-1/5)*h)/h*h)/h*h))/(h**(4/9)/(h*h**(-7)*h)))**42 assuming h is positive. h**(-3304/15) Simplify (x/(((x*x/((x/(x/(x/x**(-3))*x))/x))/x)/x*x))**(1/17)/((x*x*x**(-11)/x)/(x*x**(2/23))) assuming x is positive. x**(4381/391) Simplify (g**(-7/4))**(-31)*(g/g**(-3/23)*g)**(-3/10) assuming g is positive. g**(24661/460) Simplify (r**(-22/3)/(r**(-2/61)/r))**(-42) assuming r is positive. r**(16142/61) Simplify ((l*l/l**(1/15))/l)/(l**(-11/3)/l)*l*(l/(l/(l/l**(-3)))*l*l)/l*l*l**15 assuming l is positive. l**(138/5) Simplify ((x**7/x**8)/((x**2/x)/x)**(-1/3))**(-7) assuming x is positive. x**7 Simplify (v/v**(-7)*v)**39*(v*v*v*v/(v/((v*v/(v/(v**8*v*v)))/v))*v*v)/(v**6*v) assuming v is positive. v**359 Simplify g/g**(-4)*g**(-10)*g**(-1/19)/(((g/(g**(-6)*g))/g)/g) assuming g is positive. g**(-172/19) Simplify (x*x**(2/61)/x)/((x*x**39)/x)*(x**(-2/3)*x*x)**(-2/81) assuming x is positive. x**(-578099/14823) Simplify (y*y**1)**(-1)*y**(-3/19)*(y/y**22*y)/y assuming y is positive. y**(-440/19) Simplify (c**(-2/5)/(c**15*c*c))**(5/2) assuming c is positive. c**(-87/2) Simplify u**(5/3)/(u/(u/(u*u**(-2/3))))*u/u**(1/7)*u**(-1) assuming u is positive. u**(25/21) Simplify (t**(-6/11)*t**(7/4))/(t**(-1/4))**(-40) assuming t is positive. t**(-387/44) Simplify ((((r/(r*(r*r*(r**5*r)/r)/r))/r)/r**(1/2))/(r/(r/r**(-3))*r**(-2/3)))**(-5/6) assuming r is positive. r**(115/36) Simplify ((t*t*t**(2/13)*t)/t**8)/(t*((t*t*t**(-3))/t)/t)**(-8/5) assuming t is positive. t**(-523/65) Simplify ((g*g/g**1*g)**(-13/3)/(g**(1/5)/g*g**(2/7)))**50 assuming g is positive. g**(-8560/21) Simplify y**(-17)/y**(3/16)*y**(-13)*(y/(y*y**(-8/3)))/y assuming y is positive. y**(-1369/48) Simplify (n**8*(n/(n*n*n/(n**(4/7)/n)))/n)/(n**(-17)*n/n**(-4)*n) assuming n is positive. n**(109/7) Simplify ((m**0*m**(2/5))**(6/17))**(-21/2) assuming m is positive. m**(-126/85) Simplify ((k*k/(k*k/((k/((k**(1/7)*k)/k))/k)))/k**(-8))/((k**(-2)*k)/k**9) assuming k is positive. k**
{ "pile_set_name": "DM Mathematics" }
1)/(-2)*83*2. Let f = -32 + n. What is the units digit of f? 1 Suppose 3512 = 2*o - 2*s, 2*s = -2*s. What is the hundreds digit of o? 7 Let g(t) = -t**2 - 10*t - 7. Let v be g(-9). Let d(c) = 0*c + 2*c - v*c - 1 + 3*c. What is the tens digit of d(6)? 1 Suppose 0*a = -4*a + 12. Suppose -t = 5*r - 104, 2*r - 6*r = a*t - 279. What is the tens digit of t? 8 Suppose -x = 4*x + 505. What is the hundreds digit of 3/9 - 4/(-6) - x? 1 Let n be (16/(-3))/((-2)/3). Let g = 4 + n. Suppose 0 = -3*z + 8*z - 3*h - 16, -g = -5*z + h. What is the units digit of z? 2 Let v(g) = 2*g**2 - 18*g + 75. What is the units digit of v(8)? 9 Suppose 0 = -6*x + 4*x + 1074. Suppose -2*r + 100 + 120 = 4*v, 5*r - 3*v = x. What is the tens digit of r? 0 What is the units digit of 389*(-12)/15*(-40)/16? 8 Suppose -3*t = -12 - 6. Let c(j) = -3*j + 1. Let f be c(t). Let d = f + 30. What is the tens digit of d? 1 Let f = -58 - -62. Suppose -428 = -4*a - f*o, 4*o = -3*a + 126 + 194. What is the tens digit of a? 0 Let x be -5 + (-2)/((-12)/6210). Suppose a = 5*v - x, 0 = 3*v + 2*a - 524 - 107. What is the units digit of v? 7 Suppose -6*u = 2 + 64. Let o(c) = c**3 + 21*c**2 + 10*c + 13. Let a be o(u). What is the units digit of (1 - -1)*a/42? 3 Let z = 460 + -282. What is the tens digit of (z/5 - -1)/(32/160)? 8 Let q(n) = -n + 7. Let g be q(-6). Suppose 2*u - 3*w = -5 - g, w = 3*u + 27. Let z = u + 21. What is the tens digit of z? 1 Suppose -5*b = 3*x - 22, -2*x + 1 + 5 = -b. Suppose 577 + 83 = x*l. Suppose d = -4*d + l. What is the tens digit of d? 3 Suppose -6*i + 70 = i. Let h be (2/4)/(5/i). Suppose 0 = -y - 3*n - h + 60, -285 = -5*y - 5*n. What is the tens digit of y? 5 Let y(w) = 2*w**2 + 4*w - 1. Let p be y(-3). Suppose -p*u + 3*u + 48 = 0. What is the units digit of u? 4 Let p = 142 - 128. What is the tens digit of p? 1 Let m = -12 + 8. Let w = m - -52. Suppose -6*j = -4*j - w. What is the units digit of j? 4 Suppose -o = -3*c + 5756, -14*c + 7672 = -10*c - 4*o. What is the hundreds digit of c? 9 Let v(i) = 6*i**2 + 3*i + 11. Suppose 2 + 6 = 5*u - 4*t, -4*t + 12 = 0. What is the tens digit of v(u)? 1 Let j = 495 + -160. What is the hundreds digit of j? 3 Let k = 18 + -9. Let p(q) = -q**3 + 11*q**2 - 15*q + 14. What is the tens digit of p(k)? 4 Let f = 2316 - 1850. What is the hundreds digit of f? 4 Let p = -16 - -20. Suppose -y - p = -7. Suppose -594 = -6*n - y*n. What is the tens digit of n? 6 Suppose 5*d = 2*l + 1 - 0, d = -4*l + 9. What is the tens digit of 3*l*48/4? 7 Suppose 2*a = -0*a + l + 16, 5*l - 10 = -5*a. Let s be 4/a - 132/36. Let k = 26 - s. What is the units digit of k? 9 Let f(z) = -17*z**2 - 16*z - 21. Let h(m) = -17*m**2 - 16*m - 22. Let t(q) = 3*f(q) - 4*h(q). What is the hundreds digit of t(-4)? 2 Let p(f) = f + 15. Let o be p(-14). Suppose -3*b - 4*q = o + 31, -2*q = 4*b + 36. What is the units digit of 137/4 + 2/b? 4 Let m(s) = -2*s**3 + 38*s**2 + 11*s. What is the hundreds digit of m(17)? 3 Let h be (23 + (2 - 2))/1. Suppose -h*s + 9 = -20*s. Suppose -5*f = -m + 49, -m - s*m - 4*f + 124 = 0. What is the units digit of m? 4 Let z = 2067 + -1548. What is the tens digit of z? 1 Suppose 6*p - 37 = -7. What is the units digit of 415/p + 1 + -1? 3 Suppose 3*x - 3 = 0, -5*z + 3*x + 2085 = -2*x. What is the units digit of z? 8 Suppose -3*c + 3*p + 10 = p, 5*p - 1 = c. Suppose c*g + 0*g = 8. Suppose g*o = -2*o + 120. What is the units digit of o? 0 Suppose n - 5*d = 174, -2*d - 20 = -7*d. What is the units digit of n? 4 Let n(o) = 592*o**2 + 7*o. What is the hundreds digit of n(-1)? 5 Suppose -z - 1 = 3*k + 3, z - 5*k = 12. Let b = -133 + 134. Suppose -b = -z*h + 37. What is the units digit of h? 9 Let y be -19 - (0 - (1 - -1)). Let h = -481 - -567. Let m = h + y. What is the tens digit of m? 6 Let x be 1*(-6)/8*-8. Suppose -3*r + x*r - 6 = 0. What is the units digit of r? 2 Suppose 3*p = -2*z - 1 + 2, z = 3*p + 14. Suppose -660 = -4*q + a - z*a, 3*q - 2*a = 515. What is the units digit of q? 9 Suppose -r - 2*x + 28 = 3*x, 5*x - 40 = -5*r. Suppose b = r*b - 266. What is the units digit of b? 3 Suppose 0 = 3*a - 7*a + 2*g + 14570, -2*a + 2*g = -7288. What is the units digit of a? 1 What is the tens digit of ((4356/(-5))/(-11))/((-6)/(-75))? 9 Suppose 4*p = y - 328, -3*y + 904 = 5*p - p. What is the units digit of y? 8 Let m(i) = -3*i**2 - 22*i - 5. Let z be m(-7). Suppose -4*l = -z*t - 348, 0*l + 5*l + 5*t = 465. What is the tens digit of l? 8 Let j = -42 + 32. Let g be (-5)/2*12/j. Suppose 5*q = g*a - 90, 4*q + 169 = 5*a + 2*q. What is the units digit of a? 5 Let z = -147 - -117. Let q be 0 - -53 - (-1 - -1). Let t = z + q. What is the tens digit of t? 2 Let m(t) = -t**3 + 30*t**2 + 48*t - 8. What is the units digit of m(19)? 5 Suppose 12*f = 3*f - 324. What is the hundreds digit of 3*(-8)/f*174? 1 Suppose -6*m + 13896 = 12*m. What is the tens digit of m? 7 Let k(n) = 3*n - 4. Let f be k(2). Suppose -g + 58 = 4*c, 3*c = -g + f*c + 43. What is the tens digit of g? 3 Suppose -3*x + t = -25, -3*x - 3*t = -x - 24. Let d(c) = c**2 - 10*c + 12. Let m be d(x). What is the units digit of 26/2 + 2 + m? 8 Let c(b) = -b**3 + 21*b**2 - 25*b - 40. Suppose 16*o - 190 = 6*o. What is the units digit of c(o)? 7 Let a(b) = -b**3 - 9*b**2 - 14*b + 9. Let l be a(-9). Let m be (-8)/(-2)*(5 - 4). Suppose m*r = -r + l. What is the tens digit of r? 2 Let j(t) = -t - 1. Let a(k) = 66*k - 5. Let n(o) = a(o) + j(o). What is the hundreds digit of n(2)? 1 Let d(x) = -159*x - 160. What is the tens digit of d(-9)? 7 Let b(n) = -3*n**3 + 18*n**2 + 44*n + 2. What is the units digit of b(-3)? 3 What is the units digit of 1*511*(-420)/(-147)? 0 Suppose 615 = -4*u + u. Let w = -277 - -286. What is the units digit of 2/9 - u/w? 3 Let m = -14 + 16. Suppose -2*n + 3*x = -4*n - 23, m*n + x + 17 = 0. What is the units digit of n/(-5) - 10/25? 1 Let z = -562 + 971. What is the hundreds digit of z? 4 Suppose y + 5 = -5*i, 0 = -4*i + 3*y + 22 - 7. Suppose i = -5*j - 8*j + 13. What is the units digit of j? 1 Let j = 182 - 84. Let h = j + 64. What is the units digit of h? 2 Suppose 30*f + 1775 = 55*f. What is the units digit of f? 1 Let q be (2 + -4 + 7)*1. Suppose 5*z + 406 = q*s + 71, -4*s - 4*z + 260 = 0. What is the units digit of s? 6 Let b be 4*(0 - (-4 + 3)). Suppose 2*g - 6 = -b*i, 4*g - 30 = 2*g + 2*i. Let c(l) = -l**3 + 12*l**2 - 10*l + 6. What is the units digit of c(g)? 7 Let q = -13 + 18. Suppose -4*k + 14 = 3*y - 12, 4*y - 33 = -q*k. Suppose -4*b = 2*m - 134, -3*m = -y*b - 3*b + 195. What is the units digit of b? 6 Let d be (8/(-24))/((-2)/12). What is the tens digit of (66/4)/(d/4)? 3 Suppose 313*x = 324*x - 7777. What is the hundreds digit of x? 7 Let f = -72 - -66. What is the tens digit of ((-2)/(16/f))/((-11)/(-528))? 3 What is the units digit of 19655*(12/60 + 0)? 1 Suppose 0 = -5*k - o + 7889, 4*k - 20*o - 6308 = -24*o. What is the thousands digit of k? 1 Suppose 5*r - 4413 = -148. What is the hundreds digit of r? 8 Let q = 22 + -20. Suppose -5*b - 3*w + 265 = 0, -q*b + 3*w - 53 = -3*b. What is the units digit of b? 3 Let s = -69 - -122. Suppose -87 = -5*r + 2*g, -1 = -3*r + 3*g + s. What is the units digit of r? 7 Suppose 0 = -0*c - 2*c + 3*k + 210, 3*c - 317 = 4*k. Suppose 4*p + c - 491 = 0. What is the units digit of p? 5 Let r = -221 + 378. What is the units digit of r? 7 What is the tens digit of 637 - (8/(-6))/(10/15)? 3 Let f be ((-27)/(-18))/(3/8). Suppose 13 = j + 4*h, 4*j - 5 = 3*h + 9. Suppose j*u = -5*v + 40, 0 = -v - 3*v + f*u + 64. What is the tens digit of v? 1 Suppose 2*k - 11 = 23. Suppose -18*i + k*i + 217 = 0. What is the tens digit of i? 1 Let s(t) = -4*t + 1. Let c be s(-2). Let g = 1 + c. Suppose 4*d - 2*h - 44 = 70, g = 2*h. What is the units digit of d? 1 Suppose 5*z - 34 = -2*i, 3*i - 5*z = -0*z + 51. Suppose i*p - 226 = 16*p. What is the tens digit of p? 2 Let z be (-1 + 11)/(4/(-26)). Suppose -27 = 8*c + 37. What is the units digit of (-1 + z)/(c + 7)? 6 Let j(d) = -2*d**3 + 41*d**2 + 49*d - 33. What is the units digit of j(21)? 5 Suppose -68*i + 17404 = -49*i. What is the units digit of i? 6 Let w(g) = 3*g**2 - 11*g - 25. What is the units digit of w(11)? 7 Suppose -5*t = -7*y + 4*y + 1421, -t - 952 = -2*y. What is the units digit of y? 7 Suppose 5*o +
{ "pile_set_name": "DM Mathematics" }
ple of 9 and q(a). 63 Let c = 170 - 154. What is the lowest common multiple of c and 26? 208 Let t = -602/3 - -4771/24. What is the common denominator of -11/9 and t? 72 Suppose -5*z = -78 - 2. What is the smallest common multiple of (-1)/(-4) - 46/(-8) and z? 48 Suppose -3*r = 2 - 8. Suppose -r*y + 9 = 3. Let t = 1 + 0. Calculate the lowest common multiple of t and y. 3 Let i(c) = -4*c**3 - 4 - 3*c + c + 3 - c**2. Let d be i(-1). Find the common denominator of 46 and (d - 2)/((-4)/(-93)). 2 Let n = 3327/635 + -5/127. What is the common denominator of 133/18 and n? 90 Let a be 890/60 - (-2)/12. Find the common denominator of 3/a - (-477)/40 and 27. 8 Suppose -4*f - 2*l - 834 = 0, 653 = -3*f - 3*l + 26. Let h = f + 1671/8. Find the common denominator of h and -13/9. 72 Let c = 28 - 14. Let q = 34 - 28. Calculate the smallest common multiple of q and c. 42 Let a = 164777/140 - 1177. Let z = 729440071/167503980 - 2/2791733. Let h = z + a. Calculate the common denominator of -149/6 and h. 6 Suppose -3 = 2*t - 5*t. Calculate the common denominator of t/(3/174*-5) and 121/10. 10 Suppose 6*j - j = m - 15, -m + 3*j = -17. Calculate the lowest common multiple of 372/18 + 2/6 - -1 and m. 220 Calculate the least common multiple of (-8)/(-12)*-3*-5 and 11. 110 Let c be 7*-6*3/30. Let v = c - -403/40. Calculate the common denominator of v and -3/8. 8 Suppose 0 = -4*r + 2*r + 44. Let w = 79 + -53. What is the common denominator of 17/3 and w/3*(-6)/r? 33 Let y = 1 - -3. Suppose -4*b = -9*b - 70. Calculate the lowest common multiple of y and (-522)/(-63) + 4/b. 8 Let z = 51533/12 + -4299. Let o = -54 + 154/3. Calculate the common denominator of z and o. 12 Suppose 3*g + 8 = 23. Suppose 5*b - 2*f - 26 + g = 0, 0 = b + 2*f + 3. Calculate the least common multiple of b and 5. 15 Let s = 5231/6 + -857. Calculate the common denominator of -82/15 and s. 30 Let g(r) = 2*r**2 - 2. Let f be (2/(-3))/((-1)/(-3)). Suppose 0 = -j + 3*u + 31, 0*j = 3*j - 5*u - 81. Calculate the least common multiple of j and g(f). 66 Let x = -4/1852165 - 67242850293/14817320. Let c = x - -4527. What is the common denominator of c and 21/(-5)*(-28)/(-24)? 40 Let p = 16 - 12. What is the smallest common multiple of 10 and p? 20 Let f be ((-678)/(-43872))/(109381/2). Let p = -16246764412621/5776911137456 + f. Let v = p + -1/7223. Find the common denominator of 67/16 and v. 16 Let g(r) = 3*r**2 - 11*r + 4. Calculate the lowest common multiple of g(4) and 10. 40 Let t be 6/2 + (-699)/36. Let b = t - -19. Find the common denominator of b and 5/14. 84 Suppose -26 = -5*m + 4. Calculate the least common multiple of m and (1*3)/(3/10). 30 Suppose -2*a = -2*l - 18, a = 3*a + 3*l - 3. What is the lowest common multiple of 11 and a? 66 Let w(h) = h**3 - h**2 - 2*h - 1. Let q be w(-2). Let g be -3*1/(q/(-12)). Calculate the common denominator of 71/9 and (-43)/(-9) + g/(-4). 9 Let o be 10/(-15) - (-8)/3. Suppose -4*z = c - 18, -5*c + 2*z - 6 = -o*z. Find the common denominator of 23/6 and c/(-4)*1 + -19. 6 Let b = 7 - 3. Suppose -3*w + 19 = 5*s, -w + 23 = 4*s + b*w. Let p = 14 + -6. Calculate the smallest common multiple of s and p. 8 Let v be (-588)/77*6/(-8). Let d = v + -719/66. Calculate the common denominator of -109/22 and d. 66 Let x = 38 + -83. Calculate the common denominator of ((-114)/x)/(2/(-10)) and (-11)/1*(-22)/12. 6 Suppose 0 = -5*x - 5*y + 125, 18 = -4*y + 6. Let g = -22141/8 - -2777. Calculate the common denominator of g and (-13)/(-2 + x/3). 88 Let y = -2006 - -40109/20. Calculate the common denominator of -29/8 and y. 40 Calculate the common denominator of 47/6 and (-188)/(-38)*2/8. 114 Let b = 11213/825 + -368/33. Calculate the common denominator of b and -27/10. 50 Let r be -1*4*10/(-10). Suppose -17 - 31 = -4*j + 3*s, -3*s + 48 = r*j. Calculate the least common multiple of 22 and j. 132 Let s = -11 - -25. Let n(o) = 2*o - 6. What is the lowest common multiple of s and n(13)? 140 Let z(r) = 2*r**3 - 2*r - 1. Let p be z(-1). What is the smallest common multiple of 16 and (-1 - 9)/(-2 - p)? 80 Let x be (-20)/(-28)*2/(-118). Let r = x - 10693/3717. Let a = -13917/784 - -1/784. Calculate the common denominator of a and r. 36 Let b(a) be the third derivative of -a**5/60 + 3*a**4/8 + 2*a**2. Let d be b(9). Suppose d*q = 3*q - 57. Find the common denominator of 23/2 and q. 2 Suppose -5*x - r = -x - 6, 4*r + 6 = -x. Suppose 0 = 2*p + 2*p - 8. What is the lowest common multiple of p and x? 2 Let x = -374027/73572 - -3/6131. Let k = 1/18101 + 1285151/362020. What is the common denominator of k and x? 60 Let q(m) = m**3 - 14*m**2 - 15*m + 8. Calculate the least common multiple of 56 and q(15). 56 Let a = -34 - -48. What is the least common multiple of a and 22? 154 Let j be (-3)/(-4) + (-53)/(-4). Let f(u) = -u**3 + 14*u**2 - u + 20. What is the lowest common multiple of 11 and f(j)? 66 Let y = 40 - 22. Let a(u) = 2*u + 1. Let c be a(3). Let f = c - -7. What is the lowest common multiple of f and y? 126 Calculate the common denominator of 107/44 and (-4)/(-6) - 69/54. 396 Suppose 0 = 2*o + 3*s - 4, 0*o - 13 = -o + 4*s. Let z(b) = -b**3 + 4*b**2 + 5*b + 6. Calculate the least common multiple of z(5) and o. 30 Let l be 8/28 - (-5708)/(-19929). Let c = -55040/2847 + l. Find the common denominator of c and -23/3. 3 Let i = 245/24 - 40/3. Find the common denominator of i and 268/56 - (0 + -2). 56 Let q = 296 + -580. Calculate the common denominator of -35/2 and (-6)/3 + q/(-16). 4 Find the common denominator of 610/110 + (-4 - -1) and -33/32. 352 What is the least common multiple of 2 and 30/(-4)*36/(-45)? 6 Let a be 1 - (1 + -1 + -2). Suppose 0 = -2*c + a*c - 7. Find the common denominator of (-58)/c - -1 - -2 and -40/3. 21 Suppose 12 = 5*z - 4*z. Let t = 6 + 0. Suppose t*d - d - 90 = 0. What is the least common multiple of d and z? 36 Let c = 1904818 + -15267075/8. Let p = c + 3558. What is the common denominator of -65/2 and p? 8 Let o = 10 - -6. Suppose -x = 4*h - 1 + 11, o = -4*h. Calculate the lowest common multiple of x and 2. 6 Let i = -1095/2 - -4405/8. Calculate the common denominator of i and (-20)/(-1)*8/(-15). 24 Suppose 0 = -2*i - 3*m + 12, 5*i + 5*m - m = 30. Suppose -2*r = r - 12. What is the least common multiple of i and r? 12 Let a(p) = p**2 + 14. What is the lowest common multiple of 12 and a(0)? 84 Suppose y - 11 = -0*y + x, 4*x + 4 = -y. Let n = y - -14. Calculate the smallest common multiple of n - (0 + 2 + 0) and 20. 20 Let r be 435/9 - (-2)/3. Suppose 4*b + r = 5*c, -3*c - 11 = -4*c + 2*b. Calculate the smallest common multiple of 5 and c. 45 Let b(k) = -k**2 + 7*k + 16. What is the lowest common multiple of 20 and b(6)? 220 Suppose -2*a + 12 = 4*y, y - 8 = -a - 4. Suppose -2 = -4*d + y. Calculate the smallest common multiple of d and 7. 7 Let z = 18 - 25. Let t = 3 - z. Suppose 3*b + 5*w - 30 = 0, -2*b - 3*w + 20 = -0*b. Calculate the least common multiple of t and b. 10 Let p(q) = 4*q + 1. What is the common denominator of 70/9 and p(-1)? 9 Let v = 532 + -5327/10. What is the common denominator of v and -27/32? 160 Suppose -4*u + 23 = -3*w, 0 - 1 = w. Calculate the common denominator of (-17)/u*(-30)/4 and -62/5. 10 Suppose -2*p = 2*n - 4, 3*n - 2 = 3*p + 4. Calculate the least common multiple of n and 10. 10 Suppose 4*u = 2*u + 24. Calculate the lowest common multiple of 78 and u. 156 Let a = 17/106 + -4007/530. What is the common denominator of 73/35 and a? 35 Let g = 379/78 + -14/39. What is the common denominator of g and (2/4)/(1/9)? 2 What is the smallest common multiple of 10 and (-11)/(1 + -2) - 3? 40 Let x = -10 + -5. Let n = -12 - x. Calculate the smallest common multiple of n and 2. 6 Calculate the common denominator of (-4)/(-72)*2*-31 and -3 - (4/(-22) - 2). 99 Let y = -942739/54 + 17457. Find the common denominator of 22/3 and y. 54 Let i(q) = q**3 - 4*q**2 + 4*q - 6. Let d be ((-2)/(-4))/(7/70). Suppose -d*z + 5 = 3*r - 6, 25 = 4*z - 3*r. Calculate the lowest common multiple of i(z) and 6. 30 Suppose 3*k = l + 51 - 20, 2*l - 28 = -4*k. What is the smallest common multiple of k and 1? 9 Suppose f - 4 = 4. Suppose 0 = v - 2 - f. What is the common denominator of -46/9 and v? 9 Let o = -13378 + 321121/24. What is the common denominator of 37/18 and o?
{ "pile_set_name": "DM Mathematics" }
9). Find the second derivative of -24*r + 16*r**2 + 9*r**2 + d - 4 wrt r. 50 Let k(u) be the first derivative of u**7/70 + 2*u**5/15 - 4*u**2 - 14. Let c(m) be the second derivative of k(m). Find the third derivative of c(f) wrt f. 72*f Let o(r) be the second derivative of 3*r**8/56 - 3*r**5/5 - 97*r**4/12 + r + 37. What is the third derivative of o(d) wrt d? 360*d**3 - 72 Let z(y) be the third derivative of 11/60*y**5 + 0*y**4 + 0*y + 10*y**2 + 1/15*y**6 + 0 + 0*y**3. Find the third derivative of z(r) wrt r. 48 Suppose 4*t - 340 = -u, -t = -0*t + 4*u - 100. What is the third derivative of 82*f**2 - t*f**2 - f**4 + 17*f**4 wrt f? 384*f Find the third derivative of 0*i**3 - 17*i + 85*i**3 - 11*i**2 + 9*i**2 wrt i. 510 Let d(n) = -388*n**3 + 658*n**2 + 15*n. Let x(s) = 194*s**3 - 329*s**2 - 6*s. Let o(f) = 2*d(f) + 5*x(f). What is the third derivative of o(q) wrt q? 1164 Let i be 10/12 - (11/(-3) + 4). Let q(r) be the first derivative of i*r**2 + 2 - 7*r. What is the first derivative of q(y) wrt y? 1 What is the second derivative of -557 + 218*f**3 - 1198*f**2 + 2394*f**2 - 1198*f**2 + f wrt f? 1308*f - 4 Let u be (-4)/14 - 44/(-7). Find the second derivative of 6*s + 5*s - u*s + 6*s - 7*s**2 wrt s. -14 Let h(f) be the first derivative of -15*f**4/4 - f**2/2 - 80*f + 64. What is the first derivative of h(v) wrt v? -45*v**2 - 1 Let j(h) = h + 2. Let s be j(-10). Let u = s + 16. What is the third derivative of -11*y - y**4 - y**2 + u*y + 3*y wrt y? -24*y What is the third derivative of 10*b - 44*b**6 - 2304*b**2 - 4*b + 2319*b**2 wrt b? -5280*b**3 Let y(b) be the first derivative of -b**8/80 + b**5/24 + 11*b**3/3 + 12. Let i(q) be the third derivative of y(q). Find the second derivative of i(f) wrt f. -252*f**2 Let p(b) = 7*b + 129. Let t(c) = -12*c - 257. Let z(x) = -5*p(x) - 3*t(x). What is the first derivative of z(l) wrt l? 1 Let k(v) be the third derivative of -51*v**5/20 - v**4/12 + v**3/3 - 4*v**2 + 9*v. Find the second derivative of k(c) wrt c. -306 Let i(j) be the second derivative of j**6/30 + 13*j**5/2 + 323*j**2/2 - 552*j. Find the first derivative of i(n) wrt n. 4*n**3 + 390*n**2 Let z(g) = -77*g**2 - 9*g + 464. Let t(b) = -37*b**2 - 5*b + 233. Let y(x) = 11*t(x) - 6*z(x). Differentiate y(p) with respect to p. 110*p - 1 Suppose -5*m + 4 = -3*m. Differentiate -7*u**3 - 11 - 5 + 2 + m wrt u. -21*u**2 Let g(f) = f**3 + 5*f**2 - f - 7. Let m be g(-5). Let k be 12*((-6)/m)/12. Find the first derivative of u**3 + 3 - u**3 - 4*u**4 + 0*u**k wrt u. -16*u**3 Let f(v) = v**4 + v. Suppose 7*h - 2*h = 35. Let w(t) = 7*t + 6*t - 7*t + h*t**4. Let k(m) = -5*f(m) + w(m). What is the second derivative of k(r) wrt r? 24*r**2 Let h be (-10)/(-15) - 5*16/(-24). Suppose -2*a + 6 = a. Find the second derivative of -9*t**4 + 0*t**4 - a*t**h + t**4 - 10*t wrt t. -120*t**2 Let t(f) = f**3 + f. Let i(z) = 212*z**3 - 4*z - 183. Let v(o) = i(o) + 4*t(o). Find the first derivative of v(m) wrt m. 648*m**2 What is the third derivative of -152*g**2 - 49*g**4 + 0*g**4 + 119*g**2 wrt g? -1176*g Suppose -x - 18 = 4*s, -3*x + 5*s - 12 = -43. Suppose -5*b = -2*d, 4*d = b + 3*b. What is the derivative of -2*f**2 + b + 3 - 2 + x wrt f? -4*f What is the third derivative of -112*n**5 + 44*n - 233*n**5 + 440*n**2 - 441*n**2 wrt n? -20700*n**2 Let o(p) be the third derivative of 11*p**5/30 + 7*p**4/24 - p**3/2 + 6*p**2 + 7. Find the second derivative of o(b) wrt b. 44 Let v be (-21)/(-14)*2*1/72. Let u(l) be the third derivative of 0*l**3 + 0*l - v*l**4 + 0 - l**2 - 1/12*l**5. Find the second derivative of u(q) wrt q. -10 Let m(f) be the first derivative of 13/3*f**3 + 0*f - 7/2*f**2 - 6. What is the second derivative of m(q) wrt q? 26 Let k(b) be the third derivative of 14*b**6/15 + b**5/60 + 155*b**3/3 - 45*b**2. Differentiate k(t) wrt t. 336*t**2 + 2*t Let j(k) be the first derivative of 28 + 0*k + 27/2*k**2 - 25/3*k**3. Find the second derivative of j(o) wrt o. -50 Find the second derivative of -41*n**2 - 5*n + 0 + 1 + 31*n + 9*n wrt n. -82 Suppose 11 + 19 = 10*w. Let f(c) be the first derivative of 3/2*c**4 - 6 + 0*c**w + 0*c**2 + 8*c. Differentiate f(l) wrt l. 18*l**2 Suppose 5*j = -0*j + 5*i - 15, -1 = 2*j - i. Let d(z) be the second derivative of 5/12*z**4 + 0 + j*z**2 + 2*z + 0*z**3. Differentiate d(h) with respect to h. 10*h Differentiate -157 + 66 + 32*t + 53*t + 4*t wrt t. 89 Let h(g) = g + 5. Let k be h(0). Let r be 12/(-20) + 13/k. Differentiate 8*o**2 + 3 - 17*o**r + 2*o**2 with respect to o. -14*o What is the second derivative of 13*z**4 + 33*z - 8*z**4 - 87*z - 2 - 2*z**3 - 21*z**4 wrt z? -192*z**2 - 12*z Let p = -949 - -675. Let y be p/(-18) + 12/(-54). Find the second derivative of -4*j**5 - y*j + 4*j + 0*j + 5*j wrt j. -80*j**3 What is the derivative of 426*l + 240*l - 72*l + 268*l + 362 - 116*l wrt l? 746 Let i(f) = -676*f**3 + 13*f + 1. Let g(o) = -678*o**3 + 14*o + 1. Let n(m) = -5*g(m) + 4*i(m). Find the second derivative of n(r) wrt r. 4116*r Suppose -99*v = -98*v. Let i(u) be the third derivative of v*u + 0 - u**2 + 5/6*u**3 + 1/24*u**6 + 0*u**4 + 0*u**5. What is the first derivative of i(j) wrt j? 15*j**2 Let f(y) = 2*y**2 + y + 1. Let c(s) = -113*s**2 + 10*s + 137. Let t(i) = 3*c(i) - 30*f(i). What is the derivative of t(n) wrt n? -798*n Let k(c) be the first derivative of 7 - 7*c**3 + 0*c + 0*c**5 + 7/3*c**6 + 0*c**2 + 0*c**4. What is the third derivative of k(m) wrt m? 840*m**2 Let g(l) = l**2 - 6*l + 6. Let n be g(4). Let p be 7 - (3/1 + n). Find the third derivative of -3*w**2 - 25*w**p + 4*w**4 + 29*w**6 - 4*w**4 wrt w. 480*w**3 Let x(i) be the second derivative of -i**7/280 + 17*i**4/12 + 8*i**3/3 - 4*i. Let r(k) be the second derivative of x(k). Differentiate r(l) wrt l. -9*l**2 Let t(x) = 96*x**2 + 254. Let r(b) = -96*b**2 - 257. Let h(i) = 2*r(i) + 3*t(i). Find the first derivative of h(u) wrt u. 192*u Let q = 193 - 189. Let c(u) be the first derivative of 9 + 0*u**q + 0*u**3 - 11/5*u**5 + 0*u - 5/2*u**2. What is the second derivative of c(y) wrt y? -132*y**2 Let h be ((-6)/2)/((-6)/22). Let f = -6 + h. Find the third derivative of 2*j**5 + j**2 + j**2 + 2*j**2 + 2*j**f wrt j. 240*j**2 Suppose h + 56 = 5*h - g, h = 4*g + 29. Differentiate -2 + h*m**4 - 7 + 4 wrt m. 52*m**3 Let o(g) be the second derivative of -5/24*g**4 - 4*g**2 + 5/6*g**3 - g + 0. Let d(b) be the first derivative of o(b). What is the derivative of d(s) wrt s? -5 Differentiate 2*s + 5*s + 14*s + 6*s - 100 with respect to s. 27 Let p(a) be the second derivative of a**6/30 - a**4/8 - a**3/2 + 14*a. Let t(h) be the second derivative of p(h). Differentiate t(i) with respect to i. 24*i Let j be 56/35*(-10)/(-4). Suppose 2*x + j*i + i - 45 = 0, -4*x + 20 = -4*i. What is the second derivative of -810*n**3 - 3*n**4 + 810*n**3 - x*n wrt n? -36*n**2 Let f(n) be the third derivative of -n**8/840 + n**6/120 - n**3/6 + n**2. Let s(w) be the first derivative of f(w). Find the third derivative of s(t) wrt t. -48*t What is the third derivative of 110*p**5 - 88*p**2 - 41*p**2 - 218*p**5 - 63*p**2 wrt p? -6480*p**2 Let x(k) be the second derivative of 39*k**5/4 + 143*k**4/12 - 114*k. What is the third derivative of x(h) wrt h? 1170 Suppose 2 + 5 = -w. Let l(k) = 3*k + 11. Let u(i) = -8*i - 33. Let b(q) = w*l(q) - 2*u(q). Find the first derivative of b(s) wrt s. -5 Let y(s) be the third derivative of -s**9/504 - 6*s**7/35 + 2*s**5/15 + s**3/3 - 3*s**2 - 3. What is the third derivative of y(j) wrt j? -120*j**3 - 864*j Let a(s) = -s**2 + 3*s + 2. Let m be a(3). What is the third derivative of -m*r**2 + 9*r**5 - 3*r**2 - 11*r**5 - 7*r**5 wrt r? -540*r**2 Let n(q) = 404*q**2 + 92*q + 21. Let f(r) = 404*r**2 + 93*r + 18. Let g(y) = 7*f(y) - 6*n(y). What is the second derivative of g(h) wrt h? 808 Let o(t) = 480*t**4 + 6*t**3 + 3*t + 173. Let y(x) = -479*x**4 - 4*x**3 - 2*x - 172. Let u(j) = -2*o(j) - 3*y(j). What is the first derivative of u(k) wrt k? 1908*k**3 Suppose -14*x = -19*x + 10. What is the third derivative of 2*o**2 - o**x - 50*o**3 + 7 - 5 + 2*o**2 wrt o? -300 Let s(r) = 9*r**3 - 28*r**2 - 36*r + 429. Let d(o) = -3*o**3 + 8*o**2 + 12*o - 143. Let j(p) = -7*d(p) - 2*s(p). What is the first derivative of j(m) wrt m? 9*m**2 - 12 Let a(f) be the second derivative of 126*f**5/5 - 70*f
{ "pile_set_name": "DM Mathematics" }
+ 1077 + 46 = t, -c*t - 1890 = -5*f. Calculate the remainder when f is divided by 9. 7 Let k(z) = -39*z - 7. Let f be k(-3). Calculate the remainder when 1*2 + f/8*4 is divided by 6*(-5)/(-3)*2. 17 Let f = 8792 - 8651. Calculate the remainder when 1824 is divided by f. 132 Let f(i) = -19*i + 345. Suppose 4*n + 4*v - 56 = 0, 0 = 2*n + 3*v - 12 - 13. What is the remainder when f(n) is divided by 3? 1 Suppose -4*y - 2*j - 84 = 0, 98 = -5*y - 3*j + 4*j. What is the remainder when (304/y)/(6/(-60)) is divided by 31? 28 Suppose -81*v = 1429 - 13498. Let w(o) = -o**3 - 4*o**2 - 4*o - 5. Calculate the remainder when v is divided by w(-4). 6 Let u = 13230 + -11320. Calculate the remainder when u is divided by 633. 11 Let u = 1204 - 1093. Calculate the remainder when 420 is divided by u. 87 What is the remainder when 298 is divided by ((9/3)/(-3))/(1/(-149))? 0 Let k(d) = -6456*d**3 + d**2 - 1. Let l be k(1). Let j(b) = 78*b - 310. Let t be j(4). What is the remainder when 88 is divided by l/(-144) + t/12? 43 Let f(k) = k**2 - 3*k + 4. Calculate the remainder when -6 - 13508/(-572)*13 is divided by f(3). 1 Suppose 88*u - 99*u + 16478 = 0. What is the remainder when u is divided by 75? 73 Suppose -2*s + 27 + 7 = 0. Suppose -5*u + 474 = -1401. Let h = 493 - u. What is the remainder when h is divided by s? 16 Suppose -3*w - 11 = -5*o - 6, -5*w = o + 27. Calculate the remainder when 8*((-21)/w + 4/5) is divided by 16. 8 Suppose -4*y = -3*o + 892, 129*o - 131*o = 2*y - 562. Calculate the remainder when 1153 is divided by o. 1 Let r be (-1 + 2 + -6)*-5. Let k = 42 - r. What is the remainder when (-2)/((-3)/45 - 0) is divided by k? 13 Calculate the remainder when 36064/308 - (-1)/(-11) is divided by 34. 15 Suppose -11 = -y - 13. Let n be ((-70)/15)/(y/6). Calculate the remainder when ((-469)/n)/((-1)/2) is divided by 35. 32 What is the remainder when 558 is divided by (-152)/(-1) - (39 + -32)? 123 Let j(p) = -3*p**3 + 4*p**2 + 6*p + 2. Calculate the remainder when 268 is divided by j(-2). 28 Let y(v) = 3 + v**3 - 6*v + 4*v - 6*v - 2*v**2. Let l be y(4). Suppose c + 2*i = -0*c + 15, l*i = c + 5. Calculate the remainder when 25 is divided by c. 4 Let q(w) = -w**2 + 3*w - 2*w + 61 - 55. Let p be q(-6). Let g = p - -45. Calculate the remainder when 42 is divided by g. 6 Let n(f) = -5*f**3 - 7*f**2 + 38*f + 184. What is the remainder when n(-7) is divided by 319? 14 Let h = -1718 + 1731. Calculate the remainder when 155 is divided by h. 12 Suppose 54*n - 101906 = -42776. Suppose -2*b = b - 4*d - 41, -5*b + d + 91 = 0. What is the remainder when ((-10)/(-15))/(10/n) is divided by b? 16 Suppose 5*h - 4*h + 3*x + 7 = 0, 3*h + 5*x + 9 = 0. Let s(c) = c**2 - 55 + h*c + 4*c + 10 + 0*c. What is the remainder when 186 is divided by s(6)? 24 Let b = -167 + 169. Suppose -4*j = b*u - 74, -9*j + 5*j + 128 = 4*u. Calculate the remainder when u is divided by 7. 6 What is the remainder when 38308 is divided by (-40)/300 - (-4925)/375? 10 Let r(w) = 5*w**2 - 14*w + 2. Suppose -4*v - 6 = -2*a, 3*a - 7 = -0*v + 4*v. Let o be 6 - 9 - 9/v. Calculate the remainder when r(o) is divided by 26. 20 Let m(l) = 14*l**2 + 3*l**3 + 23*l + 14*l - 2*l**3 - 36*l + 24. Calculate the remainder when 20 is divided by m(-14). 0 Let b = 114 - -72. Let m be -2 - (b/(-15) + 2/5). Suppose m*y = 5*y + 45. What is the remainder when y is divided by 6? 3 Let h(i) = -5*i**3 + 4*i**2 - i - 14. Let z be 36/(-16) + (-15)/20. What is the remainder when h(z) is divided by 40? 0 What is the remainder when 11328/516 - (-40)/860 is divided by (-1 - 0) + (10 - -2)? 0 Suppose -30 = 6*c - 96. Let j(b) = b**3 - 14*b**2 + 43*b - 21. What is the remainder when j(c) is divided by 31? 27 Let s = 65913 - 42858. What is the remainder when s is divided by 11? 10 Let z be 0 - 0 - (-1 - -444). Let k be z/(-7) - 36/126. Let p = 125 - k. What is the remainder when p is divided by 9? 8 Let x = -176 - -178. Suppose x = t, -3*n + 6*t - 5*t = -40. Calculate the remainder when n is divided by (4 + -2)/(2/3). 2 Suppose -16*q - 212*q = -6*q - 9768. Calculate the remainder when 2151 is divided by q. 39 Suppose -a + 2*p - 4 = 0, -4*a + p - 24 = -8. Let w(k) = -3*k - 12. Let h be w(-5). What is the remainder when 118 is divided by h*(a + 3) - -43? 38 Suppose -13*w = 21*w - 251 + 13. What is the remainder when w is divided by 6? 1 Let r(f) be the second derivative of f**4/4 + 8*f**3/3 + f**2/2 - 19*f. Let m be r(-5). What is the remainder when 37 is divided by -1*(-99)/6*m/(-6)? 4 Suppose 2*y - 343 = -v + 254, -4*y + 1206 = -2*v. Calculate the remainder when y is divided by 171. 129 Let p = 44562 + -44552. Suppose 290 = -2*a + 7*a. What is the remainder when a is divided by p? 8 Suppose -3*s + 95 = y - 10, 0 = 2*y - 3*s - 192. Calculate the remainder when 884 is divided by y. 92 Suppose -15*y - 1384 = 491. Let c = y + 98. Let x = c + 42. Calculate the remainder when 37 is divided by x. 7 Suppose -3*n = -5*s - 16, 3*s - 2*s = 5*n - 34. Let t(g) = 16*g + 96. What is the remainder when t(n) is divided by 30? 28 Suppose -13*u - u + 3640 = -7*u. Calculate the remainder when 1561 is divided by u. 1 Suppose -4*k + f - 171 = 187, -5*k + 3*f = 451. Let n = k + 91. What is the remainder when 131 is divided by 0 - -47 - (n + 1)? 43 Let c = -7352 - -7592. What is the remainder when 500 is divided by c? 20 Let m = -8834 - -9317. Calculate the remainder when m is divided by 186. 111 Let z(n) = 57*n**2 - 100*n + 44. What is the remainder when 3883 is divided by z(2)? 67 What is the remainder when (-2684)/(-18) + 60/216*(-34)/85 is divided by (-70)/3*30/(-20)? 9 Suppose 1710 = 5*l - 2*z + 1034, 6 = -2*z. Suppose 0 = d + 2*u - 3*u - 34, 5*d - 3*u = 180. What is the remainder when l is divided by d? 17 Let l(h) = -26*h**3 - 17*h**2 + 25*h**3 - 16*h + 0*h + 19. Suppose m + 3*m = 444. Calculate the remainder when m is divided by l(-16). 16 Let u be ((-3)/(3/4))/(-1). Suppose 4*m + 4*r + 20 = 0, -u*r + 2*r - 10 = -3*m. Suppose m = 5*x - 4*x - 15. Calculate the remainder when 43 is divided by x. 13 Let i = -12 + 16. Suppose -4*k - i*t + 172 = 0, 38 = 4*k - 4*t - 126. What is the remainder when 166 is divided by k? 40 Suppose 0 = -134*v + 312820 + 214872. Calculate the remainder when v is divided by 54. 50 Let m = 18946 + -18908. What is the remainder when m is divided by 15? 8 Let g be 12 + -5*6/(-15). Suppose g + 30 = 2*i. Let b(v) = -v + 76. Calculate the remainder when 158 is divided by b(i). 50 Let c be (6 - (-8)/4) + 18/(-6). Suppose -23*a + 2052 = -c*a. Calculate the remainder when a is divided by 30. 24 Suppose 3*f - 11 - 4 = 0. Suppose -2*y - 2*b = 8, -4*y - 52 = -f*b + 9. Let n(h) = -10*h - 20. What is the remainder when n(y) is divided by 24? 22 Let o = -28 - -78. Let a(l) = 3*l**3 - 32*l**2 + 71*l - 38. Calculate the remainder when a(9) is divided by o. 46 Let h(z) = -2*z**2 - 144*z - 76. Let v = 94 - 4. Calculate the remainder when h(-66) is divided by v. 86 What is the remainder when 75 is divided by 1 + -8 - 13/((-143)/319)? 9 Suppose -4*q = 3*d - 102 - 129, 3*q - 2*d - 169 = 0. Let b be (1 - 2)*58 - 0. Let i = b + 87. Calculate the remainder when q is divided by i. 28 Let x = -10686 + 10703. What is the remainder when 97 is divided by x? 12 Suppose 21*q = 20*q + 4. Suppose -s + 79 = q*s - t, 0 = 2*t + 8. What is the remainder when 28 is divided by s? 13 Suppose 5*p - 141 = -g, 8*p - 6*p + 457 = 3*g. Calculate the remainder when g is divided by 7. 4 Calculate the remainder when 129 + (14 - 23) - (-4 - -6) is divided by 38. 4 Let w = -171 - -178. Suppose 54 = w*x - 261. Calculate the remainder when x is divided by 8. 5 Let w = -21999 + 22156. What is the remainder when 2975 is divided by w? 149 Suppose 4*a + 71 = -293. Let z = a + 95. Suppose k - z*k = 5*o - 89, o - 71 = -2*k. Calculate the remainder when k is divided by 21. 17 Suppose 5*w + 3*v - 414 = 46, 184 = 2*w + 4*v. Let n(h) = h**2 + 8*h. Let t be n(-7). What is the remainder when w is divided by (12/5)/(t/(-70))? 20 Suppose 96*i + 506 = 142*i. Let l(h) = 3*h**2 + 5*h - 6. What is the remainder when l(4) is divided by i? 7 What is the remainder when (-4)/(-18)*-12*((-40337)/22 - -11) is divided by 221? 219 Let r(y) = -5*y + 4 + 8*y + 4*y + 2. Suppose -14*m + 232 = -10*m. What is the remai
{ "pile_set_name": "DM Mathematics" }
Let n = -34542 - -34541.99976681. Round n to five dps. -0.00023 Let z = -0.073369 - -937.983369. Let b = z - 934. Let p = 3.910161 - b. Round p to five dps. 0.00016 Let n = -0.331 + -0.019. Let i = -2.94 - n. Let t = -2.59000123 - i. Round t to seven dps. -0.0000012 Let p = -3609.019021 - -3609. Round p to three decimal places. -0.019 Let n = 1089.7 + -918. Round n to the nearest 10. 170 Let g = -215 + 503. Let v = g + -287.9999737. Round v to five dps. 0.00003 Let l = -97.26 - -97.25999995691. What is l rounded to 7 decimal places? 0 Let s(v) = 217*v - 1430. Let n be s(21). Round n to the nearest one thousand. 3000 Let m = -31.5 - -30.9835. What is m rounded to two decimal places? -0.52 Let j = -3268814318296515814.00000211 - -3268814361862332635. Let u = j + -43565816369. Let r = u - 452. Round r to seven dps. -0.0000021 Let q = 0.2955 + 1480.7045. Let g = q + -1487.43. What is g rounded to 0 dps? -6 Let s = 0.6504 + 0.1961. Round s to two decimal places. 0.85 Let i = 85 - 59. Let n = -37474030.999999 + 37474005. Let l = n + i. Round l to 5 decimal places. 0 Let t(b) = -16804*b**3 + 19*b**2 - 23*b + 8. Let n be t(-24). Suppose -n = 474*k - 461*k. Round k to the nearest 1000000. -18000000 Let v = 63455 + -63457.8481. What is v rounded to 2 decimal places? -2.85 Suppose -2889*b + 2894*b - 506607 = -1137. Let l be 9*(-2)/2*-3233. Suppose 4*m - l = t - b, 4*m = -3*t - 72009. Round m to the nearest 10000. -20000 Let j = -36 - -71. Let l = -16401.2727985 + 16436.2728. Let p = l - j. What is p rounded to six decimal places? 0.000002 Suppose -4*r + 101376564 = 4*y, 0 = -r + 11 - 6. Suppose -y - 42485864 = -19*k. Round k to the nearest one hundred thousand. 3600000 Let g = 542449 - 542445.87363. Let q = g + -2.6663675. Let y = q - 0.46. Round y to 6 decimal places. 0.000003 Let v be (4/12)/(1/6). Suppose v*d = 6*d - 20280000. What is d rounded to the nearest 100000? 5100000 Let w = 4232.99995314 - 4233. What is w rounded to 6 decimal places? -0.000047 Let z = 5684.5 + -5684.5029567. What is z rounded to 3 dps? -0.003 Let j = 2869157228 + -2869159133.000907. Let l = -1905 - j. What is l rounded to 4 dps? 0.0009 Let c = 40395 - 40298.645. What is c rounded to the nearest 10? 100 Let d = 17569 + -18037.35. Let k = 466 + d. Round k to the nearest integer. -2 Let c = 1191.7539 + 0.2461. Let v = c + -1191.433. Round v to two decimal places. 0.57 Let c = -1493.1 - 165.3. Let t = c + 1341. Round t to the nearest ten. -320 Let l = 54.018 + -54. Let h = -0.0002 - l. What is h rounded to 2 dps? -0.02 Let s = 266 + -263.39. Let i = -3.9 + s. Let o = -1.29816 - i. Round o to three decimal places. -0.008 Let p = -568 - -577. Let y be (135/(-18))/(p/240). What is y rounded to the nearest 1000? 0 Let o = -2732 - -2693.4. What is o rounded to the nearest integer? -39 Suppose 22 = -2*x + 32. Suppose -i = -x*i + 12. Let f be (3/i + 214)/(4/16). What is f rounded to the nearest 100? 900 Let f = -8.813 - 782.607. Let k = -782 - f. Let u = -10 + k. What is u rounded to 1 decimal place? -0.6 Let m = 0.3628 - 0.36287866. What is m rounded to 5 dps? -0.00008 Let d = -1078.9967174 - -1079. Round d to four dps. 0.0033 Let u = -134015.761 - -133939. What is u rounded to the nearest 10? -80 Suppose 0 = 112*r - 115*r + 9. Suppose -r*y = 4*p + 4649980, y - 6199980 = 5*y + 4*p. What is y rounded to the nearest one hundred thousand? -1600000 Let s = -1570.70006575 - -1570.7. Round s to five dps. -0.00007 Suppose -4*u - 288433 = -1233517. Let i = u + -394471. What is i rounded to the nearest ten thousand? -160000 Let x = -1.89 + 1.8. Let r = 2.09 + x. Let g = 6.7 - r. Round g to the nearest integer. 5 Let c = -32.2 + 30. Let j = -20.2 - c. Let l = j - -18.096. What is l rounded to two dps? 0.1 Let a = -226 - -225.75. Let d = a - 0.35. Round d to the nearest integer. -1 Let w = -7358.000025776 - -7358. What is w rounded to 6 dps? -0.000026 Let k = 26309 + -26498.865. Round k to 0 decimal places. -190 Let w = 7.73 - 2.16. Let a = w + 11.66. Let q = a + -18. What is q rounded to one decimal place? -0.8 Let p = -541234.12 + 541479.12099. Let w = p - 245. Round w to four decimal places. 0.001 Let u = -120 + 120.209. Let o = u + 109.791. Let l = -110.00000865 + o. What is l rounded to six dps? -0.000009 Let a = -96.7 + 99. Let w = 37.8 + a. Round w to the nearest integer. 40 Let x = 21 - 6. Suppose 19*c - 280 = x*c. Let j be -1396216*185/c - 8/14. What is j rounded to the nearest 100000? -3700000 Let x = 472 + -127. Let w = 30.32 - 351.22. Let c = x + w. Round c to zero decimal places. 24 Let d = 1387039774.83875161487566634 - -0.06129248512433366. Let g = d + -1387039836. Let t = g - -61.1. What is t rounded to 5 dps? 0.00004 Let i = -2314 + 2313.78436. What is i rounded to two decimal places? -0.22 Let k be (-34)/(-153) - 4/18. Let u = 2 - k. Let y(p) = -995001*p**2 - 2*p + 8. Let f be y(u). What is f rounded to the nearest one hundred thousand? -4000000 Let k(h) = -h**3 - 11*h**2 + 10*h - 24. Let t be k(-12). Suppose 3*z - 93900020 = -4*r - t*r, 0 = -2*z - r + 62600005. Round z to the nearest one million. 31000000 Let c = 45.9 - -601. Let k = 636 - c. What is k rounded to one dp? -10.9 Let q = -124 + 123.9178. Let b = 1.529 + -1.46. Let t = b + q. What is t rounded to three decimal places? -0.013 Let d = 11111.9987149 - 11112. Round d to 4 decimal places. -0.0013 Let j(f) = -f + 43. Let c be j(7). Let i = c + -59. Let n(a) = a**3 + 23*a**2 - 4*a - 6. Let w be n(i). Round w to the nearest 10. 90 Let k = 13.898 - -3.232. Round k to the nearest 10. 20 Let c = 9209 - 9201.371. Round c to 1 dp. 7.6 Let p = -448.58 + 448.5799958514. Round p to six decimal places. -0.000004 Let f = 0.20527815 - 0.13358. Let t = f - 0.0717. Round t to seven decimal places. -0.0000019 Let o = -2.2214 + 2.221489597. Round o to 6 dps. 0.00009 Suppose 0 = i + i - 4. Let l be i/2*1 - (-3 + 1). Suppose 4*b = 3*u + l*b + 579001, -192995 = u + 5*b. What is u rounded to the nearest 10000? -190000 Let h = 27.1 + -25.12. Let w = -15.72 - h. Round w to 0 decimal places. -18 Let z = 39 + -35. Suppose 2*b - 3*d - 16 = 0, -z*d + 2*d = -4*b + 32. Suppose -b*p + 0*p + 80800 = 0. Round p to the nearest 1000. 10000 Let v = 0.3857495 - 0.384. What is v rounded to four decimal places? 0.0017 Let t = 442 + -342. Let f be 5*5/t - (-278)/8. What is f rounded to the nearest integer? 35 Let w = 404 - 306.4. Let d = w - 105.71. What is d rounded to one decimal place? -8.1 Let v = 2.268 - -2053.032. Round v to the nearest 10. 2060 Let s = -224.3 - -224.6126. What is s rounded to two decimal places? 0.31 Let n = 0.0407 - -354.9593. Let l = -355.0000201 + n. What is l rounded to 6 decimal places? -0.00002 Suppose -9*j + 37 = 1. Suppose -2*k = f - 262991, 0*f = j*f - 20. Let b = 219493 - k. Round b to the nearest ten thousand. 90000 Let d(h) = -h**3 - 5*h**2 + 4*h + 2. Let j be d(-6). Suppose -266*f = -279*f + 234. Suppose j*v - f*v = -1760. Round v to the nearest one hundred. 400 Let l = 182284.9 + -191810. What is l rounded to the nearest 10? -9530 Suppose 4*a - l - 74487096 = 3*l, -4*a + 5*l = -74487093. Suppose -9*n - 4 = -5*n, -65934665 = -3*f - 4*n. Let k = a + f. Round k to the nearest 1000000. 41000000 Let j = 19316 - 13280. Let u = 36008 + j. Suppose 3*l + 4*w - 25242 = 0, -u = -2*l - 3*l + 2*w. Round l to the nearest one thousand. 8000 Let g = 66532.8 + -60653. What is g rounded to the nearest 10? 5880 Let l = 33 - 28. Let t(a) = l*a**3 + 4*a**2 - 29*a**3 - 4 + 73*a**3 + 3*a. Let i be t(-3). Round i to the nearest one hundred. -1300 Let l = 0.194279 + -22.468579. Let c = l + 22.3. Round c to 3 decimal places. 0.026 Suppose 120 = 5*o - 60. Suppose -3*b - 5*a = o + 339, 625 = -5*b + a. Let h be b/(-25) + -67 + 1. Round h to the nearest 100. -100 Let w(b) = 4313*b - 234. Let c be w(-9). Let y = -56171 - c. What is y rounded to the nearest 1000? -17000 Let s = 276900781472 - 276900782447.000002086. Let p = 975 + s. What is p rounded to seven decimal places? -0.0000021 Let s = -70826 + 70826.33497. Round s to 2 dps. 0.33 Let n = 0.357 - 1.403. Let c = -33 + 33.006. Let x = n + c. Round x to one dp. -1 Let v(u) = -2*u**2 + 54*u - 50. Let q be v(26). Suppose 3*p - 25 = q*r + 58, 5*r - 3*p = -185. Round r to the nearest 10. -30 Let n
{ "pile_set_name": "DM Mathematics" }
335 In base 9, what is 3666 + 14? 3681 In base 15, what is -4 + 17305? 17301 In base 2, what is -10000000 - 11001110? -101001110 In base 14, what is 9 + -33145? -3313a In base 7, what is -10 - 114534? -114544 In base 4, what is 120020 + 32? 120112 In base 16, what is 3 - 4899? -4896 In base 8, what is -13722 - 75? -14017 In base 11, what is 30312 - 4? 30309 In base 9, what is 104 + -577? -473 In base 10, what is -774382 + -6? -774388 In base 3, what is 1021120 + -2020? 1012100 In base 11, what is -809 + -1a41? -274a In base 5, what is -12341343 - 10? -12341403 In base 2, what is 111100101111 - -1? 111100110000 In base 13, what is 3 - -13cb4? 13cb7 In base 15, what is -5 - -4ba4? 4b9e In base 13, what is 3508 - 63? 3475 In base 3, what is -21 + -2120202212? -2120210010 In base 7, what is -4 - -10150426? 10150422 In base 12, what is -696 + -1a4? -87a In base 13, what is -4 - -a487a? a4876 In base 15, what is 3c2 - -1? 3c3 In base 15, what is -386 - -db? -29a In base 10, what is -68 - -39? -29 In base 15, what is -2 + -13a6? -13a8 In base 5, what is -1343100 - -302? -1342243 In base 16, what is -5 + 73e4? 73df In base 4, what is 111130010 + -10? 111130000 In base 11, what is -8 + -189a? -18a7 In base 2, what is 100100 - -100001101100000? 100001110000100 In base 13, what is 116919 - -4? 116920 In base 10, what is -668 - 712? -1380 In base 16, what is 6d6e5 + 1? 6d6e6 In base 5, what is 2412412 - -21? 2412433 In base 3, what is 100102010 + -20? 100101220 In base 12, what is -4 + b284? b280 In base 4, what is 23032 - -300? 23332 In base 12, what is -9 - -7349b? 73492 In base 6, what is 1 - 1245133? -1245132 In base 10, what is -1647837 - -1? -1647836 In base 9, what is -8201301 + -3? -8201304 In base 10, what is -23619 + 2? -23617 In base 10, what is 0 - -1995? 1995 In base 4, what is -110 + -10333220? -10333330 In base 10, what is -3 + 1034683? 1034680 In base 12, what is -16 - -2312b? 23115 In base 13, what is -12 + -1ba? -1cc In base 13, what is -39c15 - 1? -39c16 In base 16, what is dc + 20? fc In base 10, what is -118630 + 0? -118630 In base 7, what is 55 + -4240? -4152 In base 2, what is 1 - -1000010001001110? 1000010001001111 In base 12, what is 35 + 272b? 2764 In base 16, what is -5 + 23ca? 23c5 In base 3, what is -1221110 - 10001? -2001111 In base 12, what is 0 + 8416? 8416 In base 6, what is 5140125 + -1? 5140124 In base 5, what is 24133 - 2401? 21232 In base 8, what is 3 + 562? 565 In base 3, what is 10121020222 - 10? 10121020212 In base 3, what is 1100100 - -120? 1100220 In base 9, what is -5 + 474831? 474825 In base 4, what is 1310 - -1300? 3210 In base 2, what is -11 - -1011001101101? 1011001101010 In base 5, what is -120 + 240? 120 In base 9, what is -6 - 1618? -1625 In base 7, what is 2366231 + 5? 2366236 In base 6, what is 523123 + 5? 523132 In base 3, what is 12011 - -1022201? 1111212 In base 10, what is -15634 + 9? -15625 In base 16, what is -d92b - 27? -d952 In base 14, what is -bc3c - -4c? -bbd0 In base 3, what is -12001100201002 + 11? -12001100200221 In base 11, what is -3a2 - 76a? -1061 In base 5, what is -343 + 1123043? 1122200 In base 10, what is 2 - 3480? -3478 In base 15, what is -43b + -6? -442 In base 14, what is 1a48 - 17a? 18ac In base 5, what is 0 - 10001? -10001 In base 16, what is 316c + 6b? 31d7 In base 15, what is 17 + -43e? -427 In base 4, what is -1010 - -11013? 10003 In base 6, what is -4413 + 10221? 1404 In base 9, what is -1708 - 737? -2546 In base 9, what is 4204038 - -2? 4204041 In base 9, what is -7862884 - -5? -7862878 In base 5, what is -212 - 14420? -20132 In base 7, what is 13315 + -4210? 6105 In base 2, what is -1011100 - -111100010000? 111010110100 In base 2, what is 110011000001 + -11010010010? 11000101111 In base 7, what is 10 + -135320? -135310 In base 4, what is 100 + 102322? 103022 In base 9, what is -1006 + 656? -240 In base 15, what is 9da + -7ed? 1dc In base 11, what is 142a93 - 3? 142a90 In base 7, what is 10454445 - -2? 10454450 In base 15, what is 2 - -902a6? 902a8 In base 9, what is 424210 - 8? 424201 In base 9, what is 4 + -4273? -4268 In base 6, what is 5 - -253035? 253044 In base 3, what is -21 - 101111112012? -101111112110 In base 4, what is -113 - -12002101? 12001322 In base 8, what is 123732 + 0? 123732 In base 6, what is -3 - -232343? 232340 In base 15, what is 1 - -37360? 37361 In base 13, what is -1279b + 7? -12794 In base 5, what is -42120 + 101? -42014 In base 3, what is -102112 + 2201211? 2022022 In base 13, what is a + -3c96b? -3c961 In base 16, what is 5 - 6153? -614e In base 11, what is 366 + 68? 423 In base 15, what is -30011 - -8? -30008 In base 14, what is -2 - 3139? -313b In base 16, what is -17ee + a6? -1748 In base 8, what is 207037 + 2? 207041 In base 5, what is -10414 - 141? -11110 In base 14, what is -1 - 1954? -1955 In base 4, what is 31113 + -2231? 22222 In base 11, what is -5 - -49434? 4942a In base 5, what is -234040 + -3? -234043 In base 2, what is 101 - 100111111010001000? -100111111010000011 In base 11, what is -185 - 461? -636 In base 4, what is -11331101 + 131? -11330310 In base 9, what is -33 + 87212? 87168 In base 3, what is 2001202111 + -10? 2001202101 In base 9, what is 27 - -11326? 11354 In base 9, what is 5217838 + -1? 5217837 In base 3, what is 21022 + -11001? 10021 In base 11, what is -33 - 359? -391 In base 14, what is -5c - 301? -35d In base 10, what is 29 + -2971? -2942 In base 7, what is -4221 - 13? -4234 In base 6, what is 5 + -131431? -131422 In base 14, what is 2d3 - 102? 1d1 In base 5, what is 114000023 + 10? 114000033 In base 15, what is 3c25b - -5? 3c261 In base 14, what is -18 - -104a? 1032 In base 11, what is 57 + 313a6? 31452 In base 13, what is -6708 + 183? -6555 In base 2, what is 110111 + 10101101100? 10110100011 In base 14, what is -6d - -7c0? 751 In base 8, what is -107 - 545? -654 In base 6, what is -2214 - 120? -2334 In base 10, what is -25007 + -5? -25012 In base 11, what is -3 + -736456? -736459 In base 13, what is 2 - -4ba3? 4ba5 In base 15, what is 6 - -266c7? 266cd In base 8, what is -64 + 2060? 1774 In base 6, what is 5 - 1215220? -1215211 In base 4, what is 101 - 1321031? -1320330 In base 9, what is 15 + -1047? -1032 In base 10, what is -7470 - 6? -7476 In base 7, what is 3122 - -16? 3141 In base 13, what is 2040c - -2? 20411 In base 14, what is 3209 + -33? 31b6 In base 6, what is 2 - 14120414? -14120412 In base 9, what is 4 - 110170? -110165 In base 10, what is -11665 - -1? -11664 In base 10, what is 3926 + -157? 3769 In base 10, what is -1 + -146548? -146549 In base 11, what is 82 - -103? 185 In base 3, what is 2220 + 20122111? 20202101 In base 4, what is 130 + -210322? -210132 In base 3, what is -10 + 22122222111? 22122222101 In base 11, what is 4a32 + 26? 4a58 In base 13, what is -a80 - 65? -b15 In base 5, what is -1404444 + 0? -1404444 In base 14, what is 2078 + -5? 2073 In base 7, what is -5 + -342650? -342655 In base 15, what is 32e - 414? -d5 In base 6, what is -2 + -31415334? -31415340 In base 4, what is 120 + -1012? -232 In base 8, what is -22 - -1463? 1441 In base 5, what is 3 - -22311? 22314 In base 6, what is -5 - 225453? -225502 In base 5, what is -10 + 13212? 13202 In base 3, what is -1112220 + 22? -1112121 In base 8, what is -3 - 21171? -21174 In base 5, what is 43 + 1400234? 1400332 In base 16, what is -8e + -d? -9b In base 5, what is 1213 + -33? 1130 In base 5, what is -1332 + -2323? -4210 In base 10, what is 9 - 831? -822 In base 12, what is 31 + -165? -134 In base 10, what is 28408 - -11? 28419 In base 13, what is 5 - -1022c4? 1022c9 In base 14, what is 6 + -667? -661 In base 8, what is -5 + 4570? 4563 In base 10, what is -5756 + -79? -5835 In base 16, what is -17d9 - -24? -17b5 In base 8, what is -16750 - -16? -16732 In base 6, what is 521 + 1525? 2450 In base 4, what is 1132010 - 112? 1131232 In base 8, what is 7672 - 12? 7660 In base 12, what is a8 + 17a? 266 In base 10, what is 282174 + 1? 282175 In base 10, what is 0 + -79278? -79278 In base 8, what is -17 + -7067? -7106 In base 11, what is -3860 + 0? -3860 In base 8, what is 1572 - 71? 1501 In base 9, what is 16 + 14240? 14256 In base 2, what is -11 - -101110001000101? 101110001000010 In base 12, what is 9757 - 5? 9752 In base 15, what is -
{ "pile_set_name": "DM Mathematics" }
nearest to -2/3 in 0.07, -3, 1, -2/5? -2/5 What is the nearest to 3 in -37/5, 0.4, 9? 0.4 What is the nearest to -1 in -2/15, 3, 1/35, -11/3? -2/15 What is the nearest to 1 in 5, 1, -5, 0.367? 1 What is the closest to -2/3 in -1/104, -4, -0.2, -2? -0.2 What is the closest to 1/7 in -0.2, 0, -63.8? 0 What is the closest to 2/5 in -2, 1/7, -5? 1/7 What is the nearest to -1/3 in -1/3, 3/7, -70? -1/3 Which is the closest to 0? (a) -35 (b) 0.3 (c) -2 b Which is the nearest to 1/2? (a) 607 (b) 0.3 (c) -2/3 b Which is the nearest to -7? (a) -1/6 (b) -1 (c) 0 (d) -5 d What is the closest to -1/2 in 2/3, 684, 2/9? 2/9 Which is the nearest to 2? (a) -3/4 (b) 7 (c) 5 a Which is the closest to 2/11? (a) 2/9 (b) -0.1 (c) 0.2 (d) -1 c What is the closest to 1/2 in -0.3, 1/3, 2, -0.5? 1/3 Which is the closest to 3.3? (a) -5 (b) -2 (c) -3 (d) -4 b What is the nearest to -0.2 in -3.6, 4/5, -2/45? -2/45 Which is the closest to -4? (a) -5 (b) -3/5 (c) 0.1 (d) 0.3 a What is the closest to 12 in 2/17, 5, 2/15, 1? 5 What is the closest to 1/7 in 0.02, -0.4, 15? 0.02 What is the closest to -0.1 in 0, -0.1, 0.012? -0.1 What is the closest to 0.6 in 0.2, -1/10, 4, 0.1? 0.2 Which is the nearest to -1? (a) -0.2 (b) 1/3 (c) -0.4 (d) -0.065 c Which is the closest to 0? (a) -0.2 (b) 2/3 (c) 3/11 a Which is the nearest to -0.3? (a) -3 (b) -5 (c) -4 (d) 4 a What is the nearest to 0.2 in 2/3, 3, 2, 1? 2/3 What is the nearest to -0.1 in -4/11, 2/13, 4, -3? 2/13 What is the closest to 23 in 1, -0.2, -0.5, 12? 12 What is the closest to 2 in -1/5, 1/3, -7? 1/3 Which is the closest to 1? (a) 6 (b) -0.11 (c) 1/4 (d) 0.2 c What is the nearest to 2/5 in -2/5, 2/203, -5? 2/203 Which is the closest to 69? (a) -2/11 (b) -1/2 (c) -0.1 (d) 4 d What is the closest to 2 in -6, -4, -1/3? -1/3 What is the closest to -1/6 in 0.18, -2, 0.1, 3? 0.1 What is the closest to -1 in -4/3, 0.5, -0.4, 5/4? -4/3 What is the closest to 0.3 in 1/8, -4, -0.5, -2? 1/8 What is the nearest to 2/3 in -4, 3/2, -0.3, -0.5? 3/2 Which is the closest to -2/5? (a) 0.2 (b) -4 (c) -0.2 (d) 7 c What is the nearest to -0.3 in 4, -1, -2, 0? 0 What is the closest to 3 in 4, -11, 2/7? 4 What is the nearest to -2/3 in -5, 4, 1, 0.3? 0.3 What is the closest to 2/5 in 15, -1.7, -1/4? -1/4 Which is the closest to 2/3? (a) -1/8 (b) 1/4 (c) -2/5 b What is the nearest to -5 in 0.5, 0, 12, 1? 0 What is the nearest to 1 in 0.2, 3/5, -754? 3/5 Which is the closest to 0? (a) -6/7 (b) -2/17 (c) -5 (d) 2/5 b Which is the nearest to 0.1? (a) 0.4 (b) -5 (c) 23 a What is the closest to 1/3 in -5, -0.2, -0.5, 0? 0 Which is the closest to -1/2? (a) 3/4 (b) -1/3 (c) 1 (d) -0.2 b What is the closest to -1 in 3, 20, 0.4? 0.4 What is the closest to 4 in 0.5, -16, 2/7? 0.5 Which is the closest to 9? (a) -9 (b) 2/17 (c) -1/5 (d) 1 d Which is the closest to -1? (a) -0.4 (b) 0.651 (c) -1 c What is the closest to 2 in -1, 3.2, 0.5? 3.2 Which is the nearest to -1? (a) 3 (b) 0.5 (c) -1/8 (d) -63 c What is the closest to -2 in -9, 2/13, -5? 2/13 What is the closest to 3 in 0.5, 0.1, -5? 0.5 Which is the closest to -0.041? (a) 4 (b) -1/11 (c) 0.1 b Which is the nearest to 2/5? (a) -8 (b) -5 (c) 0.5 (d) -4 c Which is the closest to -1? (a) -6 (b) 380 (c) 1 c What is the closest to 5/21 in 0.3, -1/9, 0, -3? 0.3 Which is the nearest to 2/5? (a) 0.2 (b) -1/5 (c) 56 (d) 0 a What is the closest to 0 in -1/2, 7, 2/11? 2/11 Which is the closest to -8.4? (a) -1/5 (b) 0.4 (c) -4 (d) 0 c What is the closest to -2/5 in 1/2, 2.3, -0.1? -0.1 What is the nearest to 2/5 in -5, -0.01, 2/5, -5/3? 2/5 Which is the nearest to 1/3? (a) -0.1 (b) -0.3 (c) -2 (d) -0.05 d What is the closest to 0.1 in -11/8, -4, -2/7, 1/10? 1/10 Which is the closest to 83? (a) -2/3 (b) 0 (c) 0.2 c What is the closest to 0.03 in 0, -5, -1/4, 3? 0 Which is the nearest to 4? (a) -0.5 (b) -56 (c) -2/11 c What is the closest to 0.1 in 4, -0.076, -1? -0.076 What is the nearest to 237 in 5/4, -5/6, 1/6, -5? 5/4 What is the nearest to 0 in -8, 0.01, -8/5? 0.01 Which is the closest to -0.1? (a) 25 (b) -3 (c) 0.1 (d) -5 c What is the nearest to -0.2 in -0.01, -0.3, -3? -0.3 What is the nearest to 0.1 in -0.4, 1, 0.25, 1/2? 0.25 What is the closest to 2/3 in -1, -21, 2? 2 What is the nearest to 0.3 in 2/15, -0.3, -1/6, 2.2? 2/15 Which is the closest to -1? (a) 3 (b) -2 (c) -3 (d) 1/8 b What is the nearest to -15 in 2/7, -0.5, -4? -4 What is the closest to 1/3 in -5, -9, -18, 2/3? 2/3 What is the nearest to 0.1 in 4/5, 4/3, -1.2? 4/5 What is the closest to 361 in 2, -5, 0.5, 0.09? 2 Which is the nearest to -8? (a) 0.5 (b) -1/4 (c) -2/37 b What is the closest to 2/5 in 1/5, -3/2, -4, -0.2? 1/5 Which is the closest to -0.22? (a) 5 (b) -0.6 (c) 4 (d) -1 b What is the closest to 0.1 in 4, 2, -1/3? -1/3 What is the nearest to -1 in 0.5, 1, -11, -4? 0.5 What is the closest to 1 in 2/11, -3, 2/5? 2/5 Which is the closest to -1? (a) 1/9 (b) -1 (c) -31 b Which is the nearest to -2? (a) -2 (b) 5 (c) 0.2 a Which is the nearest to -62? (a) 4 (b) -2/3 (c) -2 c Which is the closest to -2/7? (a) -115 (b) 10 (c) 1 c Which is the nearest to 0.2? (a) -1 (b) 0.03 (c) -7 (d) 2 b What is the closest to -4 in 3, -0.2, 0.3, 0? -0.2 Which is the nearest to -3? (a) 7 (b) -3 (c) -0.05 (d) 2/15 b What is the nearest to 3 in -6, -1, 1.3, 5? 1.3 Which is the closest to -0.1? (a) 0.3 (b) -3 (c) -0.4 (d) -1 c What is the nearest to 1/9 in 4, 2/3, 10? 2/3 Which is the nearest to -72? (a) 5 (b) 3/4 (c) -0.3 c Which is the nearest to 2/3? (a) -1.06 (b) -2 (c) 1 c Which is the nearest to 0? (a) 3/2 (b) 0 (c) -2/13 (d) 0.06 b What is the closest to 3 in 3, 0.139, -1/5, -4/7? 3 What is the nearest to 13 in -3, -1, 5? 5 Which is the closest to -2? (a) -0.1 (b) 4 (c) 4/3 a What is the nearest to 7 in -1/11, -3/11, 1/10? 1/10 Which is the nearest to 2? (a) -0.3 (b) -0.02 (c) 2 (d) 4.9 c Which is the closest to -1? (a) 0.3 (b) 0.2 (c) 27 b What is the nearest to 23 in -3/4, -2, -1/11, -2/5? -1/11 Which is the closest to -0.17? (a) 4 (b) 0.2 (c) -1/3 (d) 3/5 c Which is the nearest to -2? (a) 0.04 (b) 19/7 (c) 5 a Which is the nearest to -0.3? (a) -3 (b) 3 (c) -7 a What is the nearest to 0.9 in -0.2, -2, 0.05? 0.05 What is the closest to 3 in -2, 0.2, 5, -5/3? 5 Which is the nearest to -2? (a) 4/9 (b) -0.4 (c) 1/3 b Which is the closest to 0.1? (a) 1/8 (b) 0 (c) 5 (d) -2.6 a Which is the nearest to 2/11? (a) 0.1 (b) -2 (c) -1 a Which is the nearest to -1? (a) -0.5 (b) 0.1 (c) 5 (d) 8 a What is the nearest to 1/3 in -1, 1, -7, -58? 1 Which is the closest to 2/35? (a) 4 (b) 1/2 (c) -3/4 b Which is the nearest to 0? (a) 1/2 (b) 4 (c) -1 (d) 0.2 d Which is the closest to -10? (a) -2 (b) 58 (c) 1/10 a What is the closest to -4/21 in 0.4, 0, -1/3? -1/3 What is the nearest to 202 in -0.2, 4, -4? 4 Which is the closest to -0.5? (a) -30 (b) -2/7 (c) -3 b What is the closest to 0.1 in -2, 5565, 0.3? 0.3 What is the nearest to 18 in 4, -5, 1? 4 Which is the closest to 1? (a) 8 (b) -4 (c) 0.11 (d) -0.2 c What is the closest to -0.4 in 2, -4, 4, -2? -2 What is the closest to -2/3 in 2.6, -4, -30? 2.6 Which is the closest to -2/3? (a) -5 (b) 4 (c) -5/6 c What is the closest to -18 in -5, 1/2, -1/4? -5 Which is the nearest to -2/5? (a) 0.3 (b) 1/24 (c) 4 b What is the closest to 0.1 in -2/15, 1/4, 0.01, 0.4? 0.01 Which is the closest to 1? (a) 1 (b) -5 (c) 0.5 a Which is the nearest to 3? (a) -0.1 (b) 0.2 (c) 21 b What is the closest to -5 in -2/5, 2/3, 1? -2/5 Which is the nearest to 0? (a) -3 (b) 5 (c) 6/7 (d) 4 c What is the closest to 1 in 0.1, -0.3, -635? 0.1 What is the closest to 1/3 in 2, 4, -0.07? -0.07 Which is the closest to -1? (a) -6 (b) -2/85 (c) -2 (d) 2/19 b Which is the closest to 0.1? (a) 0 (b) -3/4 (c) -0.3 (d) -2/9 a Which is the closest to 45? (a) -3 (b) 5 (c) 4 b What is the nearest to 2/3 in -0.057, 2/3, 1/6? 2/3 Which is the closest to -21? (a) -2/13 (b) 1 (c) 7 (d) 3 a What is the closest to 0 in -2, 3/4, -31? 3/4 Which is the nearest to 0.2? (a) -21/8 (b) 3 (c) 0 (d) -4 c Which is the closest to 0.1?
{ "pile_set_name": "DM Mathematics" }
or s. 10 Solve 487 = 50*y + 173*y - 4419 for y. 22 Solve 55*i + 62 = -9*i + 190 for i. 2 Solve 69*h + 25 = 1267 for h. 18 Solve 295 - 1231 = 104*c for c. -9 Solve 8139*a = 8117*a + 286 for a. 13 Solve -2397 + 4795 = -123*k + 2398 for k. 0 Solve 1738*w = 34452 + 22902 for w. 33 Solve -72 = 7009*a - 7036*a - 369 for a. -11 Solve -1865 + 1739 = 18*o for o. -7 Solve 40*c + 48*c = -17*c + 525 for c. 5 Solve -138*u = 93*u - 156*u + 525 for u. -7 Solve -9*q + 27456 = 27492 for q. -4 Solve 3*k - 43 = 77 - 90 for k. 10 Solve -66*j + 73 = -21*j - 17 for j. 2 Solve -274*r - 1132*r = -108*r + 2596 for r. -2 Solve -3580 = 550*z - 371*z for z. -20 Solve 485 - 539 = 9*h for h. -6 Solve -10*v + 7400 = 35*v + 140*v for v. 40 Solve 56*a = 5*a - 3*a + 324 for a. 6 Solve 0 = 70*d - 2863 + 2443 for d. 6 Solve 0 = 6*q - 930 + 816 for q. 19 Solve 30*q + 15*q = 405 for q. 9 Solve -59060 = -5*w - 59040 for w. 4 Solve 6514 - 11493 = -942*h + 12919 for h. 19 Solve 705 = -198*d - 87 for d. -4 Solve 14626 - 14458 = -42*x for x. -4 Solve 33*k + 21 = -140*k - 325 for k. -2 Solve 851 = 85*c + 511 for c. 4 Solve -64*t - 1311 = 373*t for t. -3 Solve -229*c - 2506 = -408*c for c. 14 Solve -138*p - 2980 = -504*p - 230*p for p. 5 Solve 4*w = 70*w - 108 - 156 for w. 4 Solve -41*d + 2044 = -313*d - 7204 for d. -34 Solve 0 = -67*o - 109*o - 1622 - 314 for o. -11 Solve 17 = -6*y + 14 - 45 for y. -8 Solve -20*d + 202 - 342 = 0 for d. -7 Solve 257*p = 296*p - 39 for p. 1 Solve 33*y + 189*y + 19*y = 1928 for y. 8 Solve -9*x + x + 42 - 98 = 0 for x. -7 Solve 0 = 1936*q + 39284 + 5244 for q. -23 Solve -32*n = -193*n + 31*n + 1560 for n. 12 Solve -155*p - 378 - 707 = 0 for p. -7 Solve -50*a + 78 = -22 for a. 2 Solve 176 = 18188*s - 18204*s for s. -11 Solve -113*p - 63 - 743 = -3631 for p. 25 Solve 86*z = -224 + 138 for z. -1 Solve -u - 26*u - 169 = -142 for u. -1 Solve 234*v - 102 - 2 + 3848 = 0 for v. -16 Solve 0 = 37*t - 109 - 358 + 60 for t. 11 Solve 127*t - 459*t - 5641 = 1995 for t. -23 Solve -40*v = -40244 + 40964 for v. -18 Solve 529 = -69*x + 253 for x. -4 Solve -1278 = 395*q - 9632 - 2311 for q. 27 Solve 910 - 7533 = 1611*s - 46898 for s. 25 Solve -3202 + 3258 = 14*p for p. 4 Solve -730*z - 23491 = 351*z + 726*z for z. -13 Solve -42*r + 248 = -508 for r. 18 Solve -7127*q + 7163*q = -324 for q. -9 Solve 18*l + 171 = 81 for l. -5 Solve -17627*q - 2700 = -17519*q for q. -25 Solve 29*t - 303 = 393 for t. 24 Solve 0 = 140*i - 58*i + 1558 for i. -19 Solve -61007 = 37*u - 60859 for u. -4 Solve 51*s - 1469 + 49 = -20*s for s. 20 Solve 129*g - 121 - 435 = -40 for g. 4 Solve -99*a - 67*a = -270*a - 1872 for a. -18 Solve -83*y - 81*y = 43*y - 3312 for y. 16 Solve -401*c - 409*c = -753*c - 456 for c. 8 Solve -132 = -65*d + 1 - 3 for d. 2 Solve -60 = 13*r + 7*r + 120 for r. -9 Solve 0 = 56*i + 375 + 465 for i. -15 Solve 304 - 39 + 855 = -80*p for p. -14 Solve 17*g = 48*g + 62*g + 279 for g. -3 Solve -117 = h - 11*h + 23 for h. 14 Solve 58*p + 309 + 98 = 59 for p. -6 Solve -66*w - 189*w + 1081 + 959 = 0 for w. 8 Solve 308 = 38*a + 11*a - 21*a for a. 11 Solve -1508*n + 2073*n - 19775 = 0 for n. 35 Solve -68*l - 34443 = -34103 for l. -5 Solve 0 = 691*y - 672*y - 87 - 179 for y. 14 Solve -1241 = 4*l - 1233 for l. -2 Solve 0*t + 162 = -13*t + 19 for t. -11 Solve 13 = 5*y - 35 - 12 for y. 12 Solve 1 = r - 2 - 8 for r. 11 Solve 0 = 233*y - 5448 + 13370 for y. -34 Solve -250*b = -104*b + 1752 for b. -12 Solve 6*v - 44 + 104 = 0 for v. -10 Solve -112 = 13*k + 30 + 40 for k. -14 Solve 12*j - 150 = -5*j + 42*j for j. -6 Solve -68*b - 7*b = -450 for b. 6 Solve -277*n + 437 = -280 + 163 for n. 2 Solve 49 + 85 = -34*z - 70 for z. -6 Solve 0 = -61*y - 601 - 8 - 123 for y. -12 Solve 10*d - 46 - 42 = 42 for d. 13 Solve -58*p = 183*p + 70*p for p. 0 Solve -4*a - 7664 + 15369 = 7613 for a. 23 Solve -1967 = -1009*n - 958 for n. 1 Solve 9*k - 262*k = 11 + 2013 for k. -8 Solve 77124*u - 1771 = 77047*u for u. 23 Solve -414 = 2310*l - 2328*l for l. 23 Solve -83*z - 386 - 940 = 85 for z. -17 Solve 232 = 61*y + 1208 for y. -16 Solve 35*q = 44*q + 19*q for q. 0 Solve 9*b - 5056 = -5101 for b. -5 Solve -8*d - 23*d - 344 = 28 for d. -12 Solve 32*v - 23 = -87 for v. -2 Solve -2415 = 312*l - 11151 for l. 28 Solve -44*z = -984 + 1732 for z. -17 Solve -31*l + 165 = -17*l + 19*l for l. 5 Solve 67 + 151 = 24*p + 50 for p. 7 Solve -16*g - 24 = -10*g + 36 for g. -10 Solve u = -8*u + 36 for u. 4 Solve -2431*n = -1396*n - 5175 for n. 5 Solve -11*t = -215 + 94 for t. 11 Solve -1215 = 74095*i - 73960*i for i. -9 Solve -665 - 1315 = -165*y for y. 12 Solve 224*c = 63*c + 2187 - 577 for c. 10 Solve -79*n = -186*n - 428 for n. -4 Solve 4*x - 10*x = 9*x - 45 for x. 3 Solve 23 = 46*m - 575 for m. 13 Solve -38 - 142 = -1263*m + 1293*m for m. -6 Solve -31*w = -1592 + 1902 for w. -10 Solve 60*n + 607 = 406*n + 3721 for n. -9 Solve -983 = -37*s - 1501 for s. -14 Solve -5*k - 207 + 137 = 0 for k. -14 Solve -53*q + 111*q - 1044 = -29*q for q. 12 Solve 0 = 26*a + 3403 - 3143 for a. -10 Solve -192*c - 505*c - 329*c = 12312 for c. -12 Solve -615*f + 6431 + 2756 + 38 = 0 for f. 15 Solve 0 = -187*c + 185*c - 12 for c. -6 Solve 1974*k = 4097*k - 2019*k + 1456 for k. -14 Solve 4*p - p + 915 = 855 for p. -20 Solve 96*b - 6 = 102*b for b. -1 Solve -8433 + 8473 = -4*h for h. -10 Solve -49535 + 15976 = -907*s for s. 37 Solve -690*d = -705*d - 150 for d. -10 Solve -5*p + 145*p - 1428 = 21*p for p. 12 Solve 10*j - 21*j + 34 = 122 for j. -8 Solve 0 = 4*x - 1748281 + 1748341 for x. -15 Solve 43*h - 28*h + 210 = -27*h for h. -5 Solve 37*v = 6932 - 6636 for v. 8 Solve 86*u = -7*u + 93 for u. 1 Solve -55*d - 5377 + 5047 = 0 for d. -6 Solve s + 0*s - 375 = -382 for s. -7 Solve 106*v + 60*v = 332 for v. 2 Solve 7886 = 305*m + 261 for m. 25 Solve 0 = 23*c - 1112*c - 9955 - 3113 for c. -12 Solve 1385*t - 1397*t - 80 - 244 = 0 for t. -27 Solve -9674 = 413*i - 380 + 618 for i. -24 Solve 1222*x - 1197*x = -425 for x. -17 Solve 400 - 1289 = -127*v for v. 7 Solve -57 = -33*f - 234 - 252 for f. -13 Solve 413*i - 213*i - 54 = 209*i for i. -6 Solve -573*c + 591*c = -216 for c. -12 Solve -670*j - 178*j = -1524 + 6612 for j. -6 Solve -56*k - 67 - 213 = 0 for k. -5 Solve 202*u + 84 = -257*u - 375 for u. -1 Solve 8*y + 330 = 6*y - 9*y for y. -30 Solve -841 = 181*z - 117 for z. -4 Solve -32*a - 19*a = -42*a - 108 for a. 12 Solve 5*s - 2424 = -2274 for s. 30 Solve -19656*f + 19645*f = -264 for f. 24 Solve -71*w + 1344 - 776 = 0 for w. 8 Solve 53*l + 3941 - 4948 = 0 for l. 19 Solve -97*i - 45*i = 15*i + 2669 for i. -17 Solve 698*o = 709*o + 66 for o. -6 Solve 0 = -5*v + 60 + 84 - 209 for v. -13 Solve 0 = 54*s - 45 + 99 for s. -1 Solve 649 + 596 = 83*i for i. 15 Solve 0 = -42911*p + 42944*p + 693 for p. -21 Solve 129*b - 234 = 116*b for b. 18 Solve 127*n - 946 + 648 = 1099 for n. 11 Solve -3726 = 5*j - 3536 for j. -38 Solve 777*l = 827*l - 200 for l. 4 Solve 0 = -17*u - 81*u + 294 for u. 3 Solve 0 = 9*p - 200 + 218 for p. -2 Solve 472*w = 504*w + 320 for w. -10 Solve -288*q + 4*q = 4278 + 3674 for q. -28 Solve 0 = 73*l - 240 - 992 - 885 for l. 29 Solve 869*g + 17058 + 5003 + 1402 = 0 for g. -27 Solve -30*q + 108*q = -72*q - 3750 for q. -25 Solve -78*s = -132 + 834 for s. -9 Solve 156*h - 52*h = -1040 for h. -10 Solve 264 = -27*u + 12*u - 18*u for u. -8 Solve -144*t = 69*t + 2130 for t. -10 Solve -1096 = 111*v + 347 for v. -13 Solve 7691 = -68*v + 6807 for v. -13 Solve 64*z - 689 - 155 = -147*z for z. 4 Solve -10674 = -114*l - 7482 for l. 28 Solve 470*z - 551 = 6969 for z. 16 Solve 69*g + 80 = 53*g for g. -5 Solve -20*q - 21 = 53 + 266 for q. -17 Solve 59*o + 12 = 64*o - 18 for o. 6 Solve 118*k - 110*k = -56 for k. -7 Solve -18*o - 168 + 16 - 10 = 0 for o. -9 Solve -399*n = -374*n + 425 for n. -17 Solve -439*z = -358*z + 308 - 1037 for z. 9 Solve -120014*f = -120000*f + 56 for f. -4 Solve 58*q - 62481 + 62423 = 0 for q. 1 Solve 0 = -r - 9*r - 50 + 220 for r. 17 Solve -85*i = -8*i - 924 for i. 12 Solve -33*s - 139*s = 61*s + 3029 for s. -13 Solve 357 = 4008*g - 4059*g for g. -7 Solve -115*q - 1295 = -49*q - 31*q for q. -37 Solve 36*s = 6 - 60 - 162 for s. -6 Solve -2364*w = 2409*w - 4715*w + 1334 for w. -23 Solve -207*h + 134*h + 2775 = -148*h for h. -37 Solve 159*f + 235*f = -67
{ "pile_set_name": "DM Mathematics" }
rom {f: 16, s: 2}. 32/153 Three letters picked without replacement from {t: 1, p: 7}. Give prob of picking 3 p. 5/8 Calculate prob of picking 1 o and 1 m when two letters picked without replacement from kkokkkkokokzmmmkmmm. 2/19 Three letters picked without replacement from {k: 1, o: 3, b: 2, i: 2, j: 2, r: 2}. Give prob of picking 2 k and 1 r. 0 Four letters picked without replacement from {e: 1, y: 3, f: 7, g: 3}. Give prob of picking 2 f, 1 g, and 1 e. 9/143 Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {w: 4, h: 2, u: 5}. 1/33 Two letters picked without replacement from {f: 6, z: 4, s: 3, e: 1, w: 2}. What is prob of picking 1 z and 1 s? 1/10 Two letters picked without replacement from {v: 2, r: 3}. Give prob of picking 2 r. 3/10 Calculate prob of picking 1 h and 1 a when two letters picked without replacement from kkkkcafkaacackahf. 5/136 Three letters picked without replacement from drdrdfdddrdddfff. Give prob of picking 3 r. 1/560 What is prob of picking 2 m when two letters picked without replacement from {m: 3, f: 11, r: 1}? 1/35 Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {g: 1, b: 1, k: 1, u: 1, o: 4}. 3/28 Three letters picked without replacement from sskbskkbkss. Give prob of picking 3 k. 4/165 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, o: 2, b: 1, a: 2}. 2/15 Calculate prob of picking 3 s when three letters picked without replacement from {m: 1, r: 3, s: 1}. 0 Three letters picked without replacement from rrrrrfrrrfrrfrrfff. Give prob of picking 3 f. 5/204 Two letters picked without replacement from yygniygpy. Give prob of picking 1 i and 1 y. 1/9 Two letters picked without replacement from {r: 2, d: 2, c: 4, l: 4, i: 2, o: 1}. What is prob of picking 1 i and 1 l? 8/105 Calculate prob of picking 2 c when two letters picked without replacement from cycycccccc. 28/45 Two letters picked without replacement from sfssfffssssfff. Give prob of picking 1 f and 1 s. 7/13 What is prob of picking 1 b and 1 o when two letters picked without replacement from obbobbbb? 3/7 Two letters picked without replacement from vvv. Give prob of picking 2 v. 1 Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {b: 2, s: 6}. 15/28 Four letters picked without replacement from yyyyypyyyypfyfyyf. Give prob of picking 2 y and 2 p. 33/1190 Four letters picked without replacement from {j: 3, f: 1, g: 1}. What is prob of picking 1 g, 1 f, and 2 j? 3/5 Two letters picked without replacement from {c: 8, m: 2, h: 2, z: 2, n: 2}. What is prob of picking 1 m and 1 z? 1/30 Four letters picked without replacement from ojsqyssoqo. What is prob of picking 1 j, 2 q, and 1 s? 1/70 What is prob of picking 2 y when two letters picked without replacement from {j: 3, y: 2}? 1/10 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, m: 1, g: 1, o: 1, b: 1}. 1/10 What is prob of picking 2 n when two letters picked without replacement from {g: 2, n: 17}? 136/171 Calculate prob of picking 2 h when two letters picked without replacement from njhhjwhunnnnkhj. 2/35 Calculate prob of picking 4 a when four letters picked without replacement from {e: 3, a: 9}. 14/55 Three letters picked without replacement from ooqqoheooz. What is prob of picking 1 e, 1 o, and 1 q? 1/12 Four letters picked without replacement from gbbp. Give prob of picking 4 p. 0 Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lwvllkkllllvhwc. 2/15 Calculate prob of picking 1 h and 1 s when two letters picked without replacement from hhsh. 1/2 What is prob of picking 2 j when two letters picked without replacement from ljuj? 1/6 Four letters picked without replacement from {u: 7}. Give prob of picking 4 u. 1 Two letters picked without replacement from fbf. What is prob of picking 2 f? 1/3 What is prob of picking 1 i, 1 p, and 1 d when three letters picked without replacement from hhihhskdihphph? 1/91 What is prob of picking 2 g when two letters picked without replacement from dddrg? 0 What is prob of picking 2 u and 1 z when three letters picked without replacement from {u: 4, z: 2}? 3/5 What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 11, r: 1}? 1/6 Two letters picked without replacement from iixrpxrziiirrxj. What is prob of picking 1 p and 1 r? 4/105 Calculate prob of picking 2 u when two letters picked without replacement from rbbrbrbrxruubbrburx. 1/57 Two letters picked without replacement from {f: 12, l: 2, g: 3}. Give prob of picking 1 l and 1 g. 3/68 What is prob of picking 3 k when three letters picked without replacement from kkkkkkktkkkkk? 10/13 Two letters picked without replacement from zizzzzifzffii. Give prob of picking 2 z. 5/26 Two letters picked without replacement from {l: 2, w: 1, c: 1, k: 1, p: 1, o: 1}. What is prob of picking 1 p and 1 l? 2/21 Four letters picked without replacement from {c: 2, h: 8, z: 1, i: 7, g: 1, p: 1}. Give prob of picking 1 p, 1 c, and 2 h. 56/4845 Two letters picked without replacement from {d: 3, z: 2, a: 2, p: 3, g: 9, m: 1}. What is prob of picking 1 a and 1 d? 3/95 Four letters picked without replacement from nooohoppo. Give prob of picking 1 o and 3 n. 0 Calculate prob of picking 2 h and 2 b when four letters picked without replacement from {q: 2, h: 4, b: 3}. 1/7 Two letters picked without replacement from {o: 3, g: 15}. Give prob of picking 2 g. 35/51 What is prob of picking 3 y and 1 u when four letters picked without replacement from ymyuyyyymmmmyymmmyym? 8/323 Two letters picked without replacement from {d: 4, l: 5, m: 2}. What is prob of picking 1 l and 1 m? 2/11 What is prob of picking 1 h and 3 v when four letters picked without replacement from {h: 1, l: 1, j: 2, v: 2, b: 1}? 0 Calculate prob of picking 3 n and 1 c when four letters picked without replacement from nncncnc. 12/35 What is prob of picking 1 m and 1 w when two letters picked without replacement from inininiwiwwiiiiwmin? 4/171 Three letters picked without replacement from wwwwwwcwcwwuwwuwuw. Give prob of picking 3 w. 143/408 Two letters picked without replacement from ggvtgzrrrzrvzsg. Give prob of picking 2 z. 1/35 Two letters picked without replacement from aaadaaaadaaahdaa. What is prob of picking 1 a and 1 h? 1/10 Calculate prob of picking 2 s and 1 h when three letters picked without replacement from rashssshhaashrfs. 3/28 Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {u: 3, a: 3, q: 2}. 3/28 Calculate prob of picking 3 m when three letters picked without replacement from {z: 3, m: 8, b: 4, a: 4}. 56/969 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from iwccherh. 1/14 Calculate prob of picking 2 x when two letters picked without replacement from xxqqqxxxxxqqqqiixx. 4/17 Calculate prob of picking 1 v, 1 b, and 1 a when three letters picked without replacement from {b: 7, a: 1, v: 2}. 7/60 Four letters picked without replacement from mmomom. What is prob of picking 1 o and 3 m? 8/15 Three letters picked without replacement from nyhhyzxhhzmx. What is prob of picking 1 m, 1 x, and 1 z? 1/55 Two letters picked without replacement from cgfcqvnqg. What is prob of picking 2 g? 1/36 Calculate prob of picking 1 m, 1 y, and 1 t when three letters picked without replacement from {b: 2, c: 1, y: 1, t: 1, m: 2, o: 1}. 1/28 Two letters picked without replacement from qqqqqqqqxqqqqqqqqqqq. What is prob of picking 1 x and 1 q? 1/10 What is prob of picking 1 n and 3 p when four letters picked without replacement from xxxxxxypxpnxpyxnyp? 2/765 What is prob of picking 1 v and 2 o when three letters picked without replacement from cococvccoccoccooco? 7/272 Three letters picked without replacement from yazayyayyzyyyzzy. What is prob of picking 2 y and 1 z? 9/35 Two letters picked without replacement from yyabbbaaybbyzbbbyb. What is prob of picking 1 a and 1 b? 3/17 Four letters picked without replacement from {e: 17, d: 2}. Give prob of picking 2 e and 2 d. 2/57 What is prob of picking 1 l, 1 q, and 1 j when three letters picked without replac
{ "pile_set_name": "DM Mathematics" }
nator of -127/528 and -125/16016. 48048 What is the common denominator of 50 and -7/936788? 936788 What is the smallest common multiple of 540 and 4356? 65340 Calculate the common denominator of 191/5280 and 101/265408. 3981120 Calculate the common denominator of -23/24080 and 45/896. 192640 What is the smallest common multiple of 301920 and 1207680? 1207680 Calculate the smallest common multiple of 240165 and 270. 480330 What is the smallest common multiple of 966 and 966? 966 What is the smallest common multiple of 2849 and 36223? 253561 Find the common denominator of -73/210 and -5/98406. 492030 Find the common denominator of 59/48248 and -25/138713. 1109704 Calculate the lowest common multiple of 3195 and 596400. 1789200 Calculate the common denominator of -87/16 and 79/1523994. 12191952 What is the smallest common multiple of 340 and 396? 33660 Calculate the common denominator of -139/72 and 69/8528. 76752 What is the least common multiple of 192 and 1664? 4992 Calculate the common denominator of 29/11744 and -87/19084. 152672 Calculate the smallest common multiple of 20863 and 2635. 1773355 What is the common denominator of -9/43 and 24/54049? 2324107 What is the common denominator of 31/13035 and -31/3160? 104280 Calculate the lowest common multiple of 590992 and 17180. 2954960 What is the smallest common multiple of 36 and 392? 3528 Find the common denominator of 109/456 and 53/59679. 477432 Calculate the common denominator of -51/117788 and 23/28. 824516 What is the lowest common multiple of 15375 and 525? 107625 What is the common denominator of 97/68904 and -133/40716? 895752 What is the least common multiple of 16870 and 964? 33740 What is the least common multiple of 66 and 2134? 6402 What is the least common multiple of 55085 and 8143? 936445 Find the common denominator of -63/2 and -149/161010. 161010 What is the smallest common multiple of 1255 and 1260? 316260 What is the common denominator of 83/3640 and 149/18060? 469560 What is the common denominator of -87/140 and 139/17310? 242340 Find the common denominator of 71/1680 and -121/47250. 378000 Calculate the lowest common multiple of 3498 and 1452. 76956 Calculate the common denominator of -5/12 and -139/40608. 40608 What is the least common multiple of 1012800 and 3165? 1012800 What is the common denominator of 43/1515 and 31/172104? 860520 What is the common denominator of 7/1215 and 23/66825? 66825 What is the lowest common multiple of 289372 and 219? 868116 Calculate the common denominator of -29/1449000 and 113/50400. 5796000 What is the common denominator of 13/93 and -77/491846? 1475538 What is the common denominator of -79/90 and -19/2800? 25200 Calculate the common denominator of 31/91160 and -39/110. 1002760 Calculate the common denominator of -141/28420 and -3/280. 56840 What is the lowest common multiple of 917 and 770? 100870 What is the least common multiple of 13544 and 18623? 148984 What is the common denominator of 103/1430 and -49/7040? 91520 What is the common denominator of -7/10 and 41/185304? 926520 Calculate the common denominator of -79/14 and -49/38526. 269682 What is the smallest common multiple of 34 and 3145? 6290 Find the common denominator of -167/6888 and 43/192. 55104 Calculate the lowest common multiple of 2366 and 28392. 28392 Calculate the least common multiple of 5856 and 84. 40992 Find the common denominator of 5/98 and -62/245. 490 Calculate the smallest common multiple of 37352 and 121394. 485576 Calculate the smallest common multiple of 57 and 1216. 3648 Calculate the common denominator of -13/133164 and -41/199746. 399492 Calculate the common denominator of -57/394 and -13/59494. 59494 Calculate the least common multiple of 30800 and 6300. 277200 What is the common denominator of -151/42672 and 151/24? 42672 What is the lowest common multiple of 768 and 28176? 450816 What is the lowest common multiple of 8 and 133? 1064 Calculate the common denominator of -103/4305 and -37/441. 90405 Calculate the least common multiple of 30555 and 693. 336105 What is the smallest common multiple of 1133268 and 755512? 2266536 What is the common denominator of 133/504576 and 31/186880? 5045760 Calculate the common denominator of 48/95 and -10/11989. 59945 What is the common denominator of -43/5 and 119/1676900? 1676900 What is the common denominator of -11/9 and 95/134704? 1212336 Calculate the common denominator of 111/668080 and -45/8. 668080 Calculate the least common multiple of 123156 and 219. 8990388 What is the common denominator of -62/18183 and 77/14877? 163647 Find the common denominator of -31/5154 and 97/724996. 2174988 Find the common denominator of -117/14 and 17/90556. 633892 Calculate the least common multiple of 9 and 105306. 315918 What is the least common multiple of 27169 and 2152? 217352 What is the common denominator of -35/4941 and -26/26487? 1615707 Calculate the common denominator of -18/3928355 and -17/5. 3928355 What is the common denominator of -139/22068 and -41/1226? 22068 What is the lowest common multiple of 44896 and 48? 134688 Calculate the smallest common multiple of 2250 and 3375. 6750 What is the lowest common multiple of 15600 and 14625? 234000 Calculate the smallest common multiple of 8 and 9276. 18552 What is the common denominator of 31/26488 and 13/11968? 3602368 Calculate the least common multiple of 2380 and 32480. 552160 Calculate the common denominator of -11/6 and 85/21108. 21108 Find the common denominator of 6/211835 and 74/585. 1906515 Calculate the lowest common multiple of 10 and 55992. 279960 What is the common denominator of -50/3 and 44/67995? 67995 Calculate the common denominator of 5/43836 and 143/60. 219180 What is the least common multiple of 38626 and 49662? 347634 What is the lowest common multiple of 1788 and 3084? 459516 What is the common denominator of 19/84368 and 99/20? 421840 Calculate the common denominator of 1/2320068 and 47/5844. 2320068 Find the common denominator of 69/5360 and -1/20. 5360 What is the common denominator of 23/500248 and -79/107196? 1500744 Calculate the lowest common multiple of 7970 and 3188. 15940 What is the lowest common multiple of 194466 and 12? 388932 Calculate the least common multiple of 297345 and 7. 2081415 What is the common denominator of -65/4 and 37/121186? 242372 Find the common denominator of -39/14 and 59/182454. 1277178 What is the common denominator of 12/2057 and 21/550? 102850 What is the common denominator of -37/5568 and 149/64960? 194880 Find the common denominator of -143/2562 and -109/336. 20496 Find the common denominator of 167/504 and 79/2355. 395640 Calculate the common denominator of 181/14970 and 109/10. 14970 Calculate the smallest common multiple of 5124 and 420. 25620 Calculate the least common multiple of 16 and 238152. 476304 What is the smallest common multiple of 9 and 3616362? 3616362 Calculate the common denominator of -17/36826 and -29/16. 294608 What is the lowest common multiple of 1246 and 11214? 11214 Calculate the least common multiple of 28063 and 10. 280630 What is the lowest common multiple of 66 and 37602? 413622 Find the common denominator of -18/3509 and 16/99. 31581 What is the smallest common multiple of 20 and 23466? 234660 Calculate the common denominator of -21/1510 and -77/20. 3020 Calculate the common denominator of 97/6566 and -45/8174. 400526 What is the smallest common multiple of 108 and 58284? 174852 Calculate the common denominator of 7/150812 and 73/4. 150812 Calculate the lowest common multiple of 370 and 1480. 1480 Find the common denominator of -77/229248 and -51/14. 1604736 Find the common denominator of 131/600 and -99/40. 600 Find the common denominator of -31/38 and -79/76668. 1456692 Calculate the common denominator of 41/3 and -17/17973. 17973 What is the least common multiple of 12 and 6288? 6288 Calculate the least common multiple of 14 and 235758. 1650306 What is the lowest common multiple of 484 and 1584? 17424 What is the lowest common multiple of 3666 and 579? 707538 Calculate the common denominator of 19/448 and -85/62384. 249536 Calculate the smallest common multiple of 33 and 235272. 2587992 What is the common denominator of 31/11385 and -53/35420? 318780 Calculate the sm
{ "pile_set_name": "DM Mathematics" }
742487*l*p + p wrt p? 73*l**2 - 742487*l + 1 Find the third derivative of 6474085*z**3 + 6026707*z**2. 38844510 What is the third derivative of 2*z**5 - 32545956*z**4 - 18818*z**2 - 2495? 120*z**2 - 781102944*z What is the third derivative of 98821*l**4 - 69*l**3 - 11*l**2 - 5*l + 12046 wrt l? 2371704*l - 414 What is the third derivative of -41*k**4 + 2232377*k**3 + 17952211*k**2 - 3? -984*k + 13394262 Differentiate 210*x**3 + x**2 - 534024*x - 92502422 wrt x. 630*x**2 + 2*x - 534024 What is the first derivative of -55403911*s - 71734568? -55403911 Differentiate 440458938*q*t**2*y**2 + 3*t**2*y**2 - 17*t**2*y + 2*t**2 - 2*t*y + 5*t + 54*y**2 wrt q. 440458938*t**2*y**2 Find the second derivative of 5364493*c**2*q**2 + 21*c**2*q - 2614*c**2 - 2*c*q**2 - 4 wrt q. 10728986*c**2 - 4*c Find the second derivative of -182*k**2*t**2 - 108*k**2*t + 11*k**2 - 2*k*t**2 + 25499*k*t + k + 2*t**2 wrt k. -364*t**2 - 216*t + 22 Find the third derivative of -100459916*y**4 - 74848623*y**2. -2411037984*y Differentiate 8328257*c**4 - c - 267274528 with respect to c. 33313028*c**3 - 1 Find the first derivative of 5774856*w + 12284653. 5774856 Find the third derivative of 83*z**5 + 7*z**4 - 2214*z**3 - 39267*z**2 + 99*z + 1 wrt z. 4980*z**2 + 168*z - 13284 What is the derivative of 46745*b**3*w**3 - 6146*b**3 + 63146313*w**3 + 2*w wrt b? 140235*b**2*w**3 - 18438*b**2 Find the third derivative of 73824514*c**2*z**3 - 2*c**2*z**2 - 2*c**2*z - 7*c*z**2 + 26*z**2 - 57 wrt z. 442947084*c**2 Differentiate -1670979*a - 11184367. -1670979 What is the first derivative of -82586*f*n**2*s**4 - 32*f*n**2 + 443*f*n*s - 5846*f - 210 wrt s? -330344*f*n**2*s**3 + 443*f*n What is the second derivative of -400179369*c**2 + 136*c + 692707 wrt c? -800358738 What is the derivative of -1199563*h**2 - 2126441 wrt h? -2399126*h Find the third derivative of -40892*i**3*q**3 - 345*i**3*q - i**2*q**3 + i*q**3 - 678*i*q**2 - 6427*q**2 + q wrt i. -245352*q**3 - 2070*q What is the derivative of -26629*x**2 - 22*x - 46040003? -53258*x - 22 Find the first derivative of 11618060*a + 6033164 wrt a. 11618060 What is the first derivative of -78*t**2 - 55109*t - 33045030 wrt t? -156*t - 55109 Find the third derivative of -317398351*a**4 + 68*a**2 - 140774*a wrt a. -7617560424*a Find the first derivative of 10*m**3 - 280165*m**2 - 101680002. 30*m**2 - 560330*m What is the second derivative of -46798*l**5 - 5984*l**3 - 24*l + 14831689? -935960*l**3 - 35904*l What is the third derivative of 1510852696*c**6 + 488*c**2 - 11506*c - 6 wrt c? 181302323520*c**3 Find the third derivative of 8492809*c**4 + 18*c**3 - 490467*c**2 + 52. 203827416*c + 108 Differentiate 21*l*t**4 + 23*l*t + 27137*l - 8424*t**4 - 735 wrt t. 84*l*t**3 + 23*l - 33696*t**3 What is the derivative of -13512855*h**2 - 158511627? -27025710*h Find the second derivative of -403725*o**3 + 170*o**2 - 1045*o - 141898 wrt o. -2422350*o + 340 Find the first derivative of 399062625*l + 923234779. 399062625 Find the third derivative of -526*c*p**4*u + 6*c*p*u + 30*c*p - 3435*c - 1984*p**4*u - 3*p**3 + 2*p**2*u - 2*p*u wrt p. -12624*c*p*u - 47616*p*u - 18 Find the first derivative of 285277*b**3 + 12*b**2 - 2561594. 855831*b**2 + 24*b Find the third derivative of -13467*t**6 + 654*t**4 + 42510852*t**2. -1616040*t**3 + 15696*t Find the third derivative of -935*c**4*o**3*s**2 - 94*c**4*s + 2*c**2*o**3*s**2 - c**2*s**2 - 134*c*o**3*s**2 - 87*c*o**2*s - 49*o wrt c. -22440*c*o**3*s**2 - 2256*c*s Differentiate -492*j**4 - 729*j**2 + 26*j - 50044848 with respect to j. -1968*j**3 - 1458*j + 26 Find the second derivative of -9689629*k**2 + 9922519*k. -19379258 Find the third derivative of -383*v**5 + 402*v**4 - 27*v**3 - 2278*v**2 + 1465*v wrt v. -22980*v**2 + 9648*v - 162 Find the first derivative of -2*m**4 + 19416733*m**2 + 38813752 wrt m. -8*m**3 + 38833466*m Find the second derivative of 62*g**3*m + 17437*g**3 + 105*g**2*m - g*m + 593646*m - 144 wrt g. 372*g*m + 104622*g + 210*m Find the third derivative of 3*j**5 - 268*j**4 - 3529*j**3 + 22746115*j**2 wrt j. 180*j**2 - 6432*j - 21174 Find the first derivative of -417026*f**2*l**2 + 3*f**2 + 118*f*l + 37096 wrt l. -834052*f**2*l + 118*f Find the third derivative of -20832808*d**3*i*v**3 - 2*d**3*v**3 - 8*d**2*v**2 + 2*i*v**3 - 99101*v**3 wrt d. -124996848*i*v**3 - 12*v**3 Find the second derivative of 200884061*p*v**2*x**2 - p*v**2*x - 7*p*x - 11*p - 2*v**3*x**2 - v**3*x - 2*v**2*x - 2*v*x + 105*x wrt x. 401768122*p*v**2 - 4*v**3 Find the third derivative of 2*f**4 - 6877921*f**3 + 25274771*f**2. 48*f - 41267526 Find the first derivative of 188*c**4 + 15139*c**2 + c + 49900837 wrt c. 752*c**3 + 30278*c + 1 Find the third derivative of -4164826*r**4 + 2*r**3 - 7344*r**2 + 30*r + 2. -99955824*r + 12 Find the third derivative of -7615793*l**3*y**2 - 2*l**2*y + 61*l*y**2 - 4874*y**2 wrt l. -45694758*y**2 What is the third derivative of -1066439*g**3*k**3 + 146*g**3*k**2*m + g**2*k**2*m + 5206*g**2*k*m + 2*g*k**3*m - 1664*k**2*m wrt g? -6398634*k**3 + 876*k**2*m What is the second derivative of 21638441*c**3 - 6652315*c wrt c? 129830646*c Find the second derivative of 22284432*s**3 + 686*s - 125798. 133706592*s Differentiate 11530429*m**2*v + 123*m**2 - 2*m + 2148 with respect to v. 11530429*m**2 What is the first derivative of 383799*v**3 + 2*v**2 - 2*v - 331813136? 1151397*v**2 + 4*v - 2 Find the second derivative of 230333*i**3*p**3 - 40202*i**3*p + 2*i**3 + 24*p**3 - 16*p - 8 wrt p. 1381998*i**3*p + 144*p What is the derivative of 1874077*n - 2415581? 1874077 What is the third derivative of -5547097*j**4 + 11658847*j**2 wrt j? -133130328*j Find the third derivative of -789273441*q**3 - 367559275*q**2 - 2 wrt q. -4735640646 What is the second derivative of 2729*r*x**2 + 13056*r*x - 90*r - 1554*x**3 wrt x? 5458*r - 9324*x Find the first derivative of -8166115*d*g**2 + 314*d + 2*g + 3998 wrt g. -16332230*d*g + 2 What is the second derivative of 11088397*q**2 + 4159773*q? 22176794 Find the third derivative of 12581180*l**3*m + 5*l**2*m - 30*l**2 - 2*l - 5061 wrt l. 75487080*m What is the third derivative of -3341940*w**3*z**4 - 250127*w**3*z**2 - 2*w**3*z - 2*w**3 - w*z**4 - w*z**2 - 2*z**2 wrt z? -80206560*w**3*z - 24*w*z What is the first derivative of 674308*i**2 - 950978? 1348616*i Differentiate -4598*a**2*v - 23334*a*v**3 + 517793767*v**3 wrt a. -9196*a*v - 23334*v**3 What is the derivative of -70160*b**4*n - 26*b*n**3 + 4*n**3 - 2098*n**2 + 69 wrt b? -280640*b**3*n - 26*n**3 What is the third derivative of -3*g**2*h**3 + 114689*g**2*h**2 - 11*g**2*h + 11652851*h**6 - 16*h**2 wrt h? -18*g**2 + 1398342120*h**3 What is the third derivative of 25580*i**5 - 48*i**4 + 28204180*i**2? 1534800*i**2 - 1152*i Differentiate -646*b**4 - 200*b**2*k**2 + 5*b - 194*k**2 + 4*k - 5624 wrt b. -2584*b**3 - 400*b*k**2 + 5 Find the second derivative of -55579730*f**2*z**2 + f**2*z + 97*f**2 + 2*f*z + 228*f + 16*z - 2 wrt z. -111159460*f**2 What is the third derivative of 14*h**4 + 3269161*h**3 + 242924550*h**2? 336*h + 19614966 Find the second derivative of -12430*l**5 - 113*l**2 + 98*l + 3489 wrt l. -248600*l**3 - 226 Find the second derivative of 3924*f*l**4 - 10250*f*l**3 - 8*f*l + 12930098*l wrt l. 47088*f*l**2 - 61500*f*l What is the third derivative of -10*k**6 - 11997*k**5 - 6*k**2 - 689*k - 45 wrt k? -1200*k**3 - 719820*k**2 What is the third derivative of -70240008*n**5 + 3544929*n**2 - 4*n wrt n? -4214400480*n**2 What is the third derivative of c*l**3 - 59581*c*l**2 - 3*l**4 + 964803*l**3 + 9*l**2 wrt l? 6*c - 72*l + 5788818 What is the third derivative of 438609*b**6 + 38*b**5 - 85919067*b**2 wrt b? 52633080*b**3 + 2280*b**2 Find the third derivative of 95*d**2*k**3 + 2*d**2*k**2 - 25*d**2*k - 5*d*k**2 + 72*d*k - 208*d - 3141248*k**4 + k**2 wrt k. 570*d**2 - 75389952*k Find the third derivative of -3*l**4*w - 68602*l**4 + 6*l**3*w + 2*l**2*w + 1113*l**2 + 4*l*w - 11 wrt l. -72*l*w - 1646448*l + 36*w Find the third derivative of 5*p**2*q*t**2*y**2 + p**2*q + 216673*p**2*t**2*y**3 - p**2*t*y**2 + 14*p*q*t**2*y**2 + 476*p*q*t*y**3 - 232*p*q wrt y. 1300038*p**2*t**2 + 2856*p*q*t Find the third derivative of 3*p**4*y**2 + 44008*p**4 - 10*p**3*x - p**2*x*y**2 + 13*p**2*x + 2964*p**2 - 8*p*x*y + x*y wrt p. 72*p*y**2
{ "pile_set_name": "DM Mathematics" }
j**2. Let p be x(-18). What is the greatest common factor of 29 and p? 29 Let y be (32 + 2)*6/(12/7). What is the greatest common divisor of y and 68? 17 Let p(x) = 2*x**2 + x + 3. Suppose -7*z + 30 = -2*z. Let s be (-4)/2 + z/(-6). Let u be p(s). Calculate the highest common factor of u and 18. 18 Suppose 199 = 55*t - 131. Calculate the greatest common divisor of t and 6. 6 Let r(l) = -l**2 - l + 252. Let t(o) = o - 1. Let i be t(1). Let q be r(i). What is the greatest common divisor of q and 28? 28 Let q be (-98)/(-4) - (-6)/(-4). What is the highest common factor of 368 and q? 23 Suppose -n = 3*n - 32. Let t be ((-9)/2)/(n/128). Let y be t/16*(-16)/6. What is the greatest common divisor of y and 12? 12 Let o(i) = 9*i - 43. Let k be o(5). Suppose 2*y - 3*z - 32 = y, k*y - 66 = 5*z. Calculate the greatest common factor of y and 190. 38 Suppose x - c = 2*x - 96, 0 = 5*x - 4*c - 507. Suppose -41 - x = -7*b. What is the greatest common divisor of b and 20? 20 Let y = 83 - 20. Let t = y - 9. Suppose -b + t = b. Calculate the highest common factor of b and 3. 3 Let j(a) = 152*a**2 + 11*a - 10. Let o be j(1). What is the highest common divisor of o and 51? 51 Suppose -4*x = -2*a + 318, 3*a - 329 - 181 = -5*x. Calculate the greatest common factor of a and 30. 15 Let l = -30 - -34. Suppose 160 = l*h + 4*y, 2*h + 4*y - 76 = 6*y. What is the greatest common factor of 156 and h? 39 Let h be ((-168)/(-8))/((-3)/(-33)). Suppose 0 = -a - 5*c + 31 + 22, -4 = 2*c. Suppose -8*t + 5*t + a = 0. What is the highest common divisor of t and h? 21 Suppose 0 = p - 0*i + 2*i - 67, -2*i + 319 = 5*p. Calculate the greatest common divisor of 35 and p. 7 Let g = -355 - -553. Let c(l) = -2*l + 2. Let x be c(-8). Calculate the greatest common factor of g and x. 18 Let t = -270 - -409. Calculate the highest common divisor of t and 1. 1 Suppose 223*n = 214*n + 405. What is the highest common factor of n and 285? 15 Suppose -36 = -130*i + 127*i - 5*f, 0 = i - 5*f - 12. Calculate the greatest common factor of i and 164. 4 Let d be 4 - (4 - 21) - 3. Let b = 74 - d. Calculate the highest common divisor of b and 7. 7 Suppose -3*j = -50 - 4. Let s be (-54)/(-6) - 1 - 2. Calculate the highest common factor of s and j. 6 Let m be (8/7)/(15/105). What is the highest common factor of m and 156? 4 Suppose 5*y = -0*v + 5*v - 50, 24 = 4*v + 4*y. What is the greatest common divisor of v and 232? 8 Suppose -153*l + 225*l = 22968. What is the greatest common divisor of 11 and l? 11 Let u = 29 + -31. Let d be (-65 + 0)*(u - -1). Let l(v) = -2*v - 3. Let g be l(-8). What is the highest common divisor of g and d? 13 Suppose -8 = -a - 3*a. Let o be -4*(a - 1)/(-1). Suppose -s + 5*k + 39 = 0, -4*k + 0*k = o*s - 60. Calculate the highest common divisor of s and 133. 19 Suppose 2476 = -5*j + 13641. Suppose 3*h = j + 107. Suppose -4*u = 4*x - 804, 4*x - u = 3*u + h. Calculate the highest common factor of x and 22. 22 Let l be (20/7)/((-8)/(-56)). Suppose 5*h + 17 = -63. Let d = h + 24. Calculate the highest common factor of l and d. 4 Let z be (369/(-5)*30/(-6))/1. What is the highest common factor of 82 and z? 41 Suppose -2*l = 2*j - 778, 27*j + 2*l + 1550 = 31*j. Calculate the highest common divisor of 4 and j. 4 Let m be 47 - 4/2*6/12. What is the highest common divisor of 92 and m? 46 Let t = -36 + -5. Let d = 101 + t. Let q(z) = -z**3 - 4*z**2 + 2*z - 3. Let s be q(-5). What is the highest common factor of d and s? 12 Let q(u) = -22*u. Let f be q(-3). Suppose 0 = 3*o + h - 67, o - 3*o + 42 = -2*h. What is the highest common factor of o and f? 22 Let z be (72/(-15))/((-20)/300). What is the greatest common factor of 252 and z? 36 Let j(o) = 3*o + 80. Suppose -4*c = 5*v - 7 - 8, -5*v + 15 = -3*c. Let i be j(c). Calculate the greatest common divisor of i and 32. 16 Suppose 10*f = 5*f + 25. Suppose f*a - 91 = 9. Let w = a - -36. What is the greatest common factor of 8 and w? 8 Let j(m) = 2*m**2 - 5*m + 392. Let y be j(0). Calculate the highest common divisor of y and 49. 49 Let v = 286 - 242. Calculate the highest common factor of v and 352. 44 Suppose 0 = -2*u + u + 3, 8*f = 2*u + 98. Let h(r) = -6 + 1 - 3*r + 0*r. Let s be h(-6). What is the highest common divisor of f and s? 13 Let i = 209 - 195. Suppose -2*h = h - 126. Calculate the highest common divisor of i and h. 14 Let i be (-207)/(4/(-2) + 1). Let d be (16/(-8) - -24) + 1. What is the greatest common factor of i and d? 23 Let g = -1936 + 2044. Let y = 1 + 17. What is the highest common factor of y and g? 18 Let c = 166 - 126. What is the highest common divisor of c and 15? 5 Let f(i) = i**2 - 16*i + 3. Let d be f(16). Suppose 0 = -4*b + 2*b + 2, d*k = -b + 7. What is the greatest common factor of 14 and k? 2 Let j = -91 - -94. Suppose 51 = -j*k + 195. What is the highest common divisor of k and 6? 6 Let f be (-18)/24*-4 - (1 + 1). Suppose f = a - 39. What is the highest common divisor of 8 and a? 8 Let x be 1/(-3) + (-48)/(-9). Suppose 0 = x*n, l + 2*l + 2*n = -210. Let p = 8 - l. Calculate the greatest common divisor of 13 and p. 13 Suppose -3*t - 18 = -0*t. Let m be (-5 + -1)/(t/104). Suppose 0 = i - 2*n - 23, 2*n = 3*n + 5. Calculate the greatest common divisor of m and i. 13 Let m be (-12766)/(-7) + (-40)/(-140). Calculate the greatest common divisor of 19 and m. 19 Suppose 2 + 1 = 3*b + 3*r, -4*b + 29 = -r. Let g be (b/18)/((-1)/(-72)). Calculate the greatest common divisor of 120 and g. 24 Let u = -609 - -929. What is the highest common divisor of u and 20? 20 Suppose -3*j - 25 = 5. Let b(s) be the third derivative of s**4/12 + 11*s**3/3 + 3*s**2 - 1. Let t be b(j). What is the highest common factor of 3 and t? 1 Let h be (3/(-2))/(2/(-4)). Suppose -159*p - 24 = -165*p. Suppose -h*d + p + 35 = 0. What is the highest common divisor of d and 13? 13 Let s be (-6722)/(-14) - 11/77. Suppose 0*k - s = -4*k. Calculate the highest common factor of k and 15. 15 Suppose 13*x = -4*x + 1768. Calculate the highest common factor of x and 16. 8 Let p = 103 + -59. Suppose -3*o = -3*l + 30, o = -4*l + 6*o + p. Let s be l*56/(16/4). Calculate the greatest common factor of 21 and s. 21 Let k(j) = 259 + 2*j - 246 + 0*j. Let t be 2/(-3) + (-96)/18. Let n be k(t). What is the greatest common factor of 11 and n? 1 Let y = 258 - 560. Let g = -181 - y. Let z be (-180)/(-16) - 2/8. What is the highest common factor of z and g? 11 Let u be ((-9)/15)/((-4)/(-60)). Let h be (-4 + u/(-2))*16. Let n be h + -1 - (-1 + 0). Calculate the highest common factor of n and 8. 8 Suppose k - 1 = -5. Let u(x) = x**3 + 4*x**2 - 2*x + 7. Let m be u(k). What is the greatest common divisor of 105 and m? 15 Let w(v) = 11*v - 31. Let y be w(7). Let l(f) = f**3 + 14*f**2 - 16*f + 8. Let r be l(-15). Calculate the greatest common divisor of r and y. 23 Suppose -23826 = -29*u + 16513. What is the greatest common factor of 107 and u? 107 Suppose 5*d + 0*d - 10 = 0. Suppose 2*r - 4 = d. Suppose -5*y - 3*q + 2 = -r, -5*y - 5 = 5*q. What is the greatest common factor of 32 and y? 4 Suppose 0 = -5*m - 0*m, j - 2080 = -3*m. What is the highest common factor of j and 65? 65 Let t(a) = -13*a - 3. Let y be t(-2). Let z = y - 21. Suppose -z*s = -s - 27. Calculate the highest common divisor of s and 9. 9 Let v(t) = -9*t - 120. Let l be v(-16). Calculate the highest common divisor of l and 24. 24 Let i(k) = -k**3 - 4. Let j be i(-2). Suppose -j*g - 17 = -m, -37 = -5*m - 3*g + 48. Calculate the greatest common factor of 221 and m. 17 Let y(t) = 13*t**2 - 29*t + 4. Let k be y(4). What is the highest common divisor of k and 72? 24 Let a be 1/((-4)/(-74)) - (-21)/14. Calculate the greatest common factor of a and 65. 5 Suppose -57*d - 72*d - 214 + 1762 = 0. Let t = 363 + -231. What is the greatest common factor of t and d? 12 Let d be 10/(-15) + (-106)/(-6). Calculate the highest common divisor of 323 and d. 17 Suppose -2*g + 1057 = -3*m, 3*g - 687 - 909 = m. Suppose o + 139 = -g. Let j be (-36)/(-14)*o/(-36). What is the greatest common factor of j and 24? 24 Let t(q) = -q**3 + 30*q**2 - 30*q + 80. Let m be t(29). What is the greatest common divisor of m and 102? 51 Suppose 2*m - 262 = -138. What is the greatest common factor of 403 and m? 31 Let w = -3054 - -3063. Suppose -5*m + 4*m + 2 = 0
{ "pile_set_name": "DM Mathematics" }
e: 2, r: 4, v: 3, w: 2, x: 2}? 1/13 Four letters picked without replacement from {h: 2, t: 2, y: 2, m: 1, s: 1}. What is prob of picking 2 h, 1 s, and 1 y? 1/35 Calculate prob of picking 1 y, 1 p, and 1 z when three letters picked without replacement from {z: 1, r: 1, b: 1, x: 2, p: 2, y: 2}. 1/21 Two letters picked without replacement from ublu. Give prob of picking 1 u and 1 l. 1/3 What is prob of picking 1 c, 1 l, and 1 m when three letters picked without replacement from uqlocommclco? 3/55 Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {o: 1, f: 2, u: 1, w: 2, e: 1}. 2/21 Two letters picked without replacement from {r: 1, s: 5, y: 8, c: 2, g: 1}. What is prob of picking 1 g and 1 r? 1/136 Two letters picked without replacement from hhhhuhhuhhhhhuhhhh. What is prob of picking 2 h? 35/51 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {v: 2, r: 1, s: 1, z: 2, o: 3, w: 6}. 2/35 Four letters picked without replacement from clllccllllllcccccllc. What is prob of picking 4 c? 42/1615 What is prob of picking 1 h and 2 q when three letters picked without replacement from {b: 5, r: 2, h: 5, a: 3, q: 3}? 5/272 What is prob of picking 2 a when two letters picked without replacement from {q: 3, m: 1, y: 3, z: 3, a: 5}? 2/21 Three letters picked without replacement from {y: 1, p: 6, z: 9, d: 1}. Give prob of picking 1 z, 1 y, and 1 p. 27/340 Four letters picked without replacement from {d: 1, a: 4, l: 2, r: 1, c: 2}. What is prob of picking 1 d and 3 a? 2/105 Three letters picked without replacement from iizzizzizzilzziilz. What is prob of picking 1 z and 2 i? 63/272 Four letters picked without replacement from dnnndnnwwcnnnvwq. What is prob of picking 2 n, 1 c, and 1 q? 1/65 Two letters picked without replacement from {x: 1, s: 3}. Give prob of picking 2 s. 1/2 What is prob of picking 1 p and 2 f when three letters picked without replacement from fppfiiifydpffidf? 9/112 Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {g: 6, h: 5, k: 1, r: 7}. 0 Four letters picked without replacement from lnenlilhilnlil. Give prob of picking 3 n and 1 h. 1/1001 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 3, q: 1}. 1/2 Four letters picked without replacement from lqqqqqqqqqllql. Give prob of picking 1 q and 3 l. 40/1001 Two letters picked without replacement from uaauuuuu. What is prob of picking 2 u? 15/28 What is prob of picking 2 r and 1 u when three letters picked without replacement from {a: 1, u: 2, w: 2, j: 1, r: 2}? 1/28 What is prob of picking 2 f and 1 x when three letters picked without replacement from fgftiitfggefxffff? 7/170 Four letters picked without replacement from {r: 5, l: 3, z: 1, h: 6}. Give prob of picking 3 l and 1 r. 1/273 Calculate prob of picking 2 v when two letters picked without replacement from rvvvxffvffvrv. 5/26 Calculate prob of picking 4 w when four letters picked without replacement from iwiiiawwiwiiwiiwi. 3/476 Three letters picked without replacement from {r: 5}. What is prob of picking 3 r? 1 What is prob of picking 2 j, 1 v, and 1 r when four letters picked without replacement from {v: 4, j: 5, k: 4, r: 2, z: 1}? 4/91 Four letters picked without replacement from {n: 11, h: 4, x: 4}. Give prob of picking 2 n, 1 x, and 1 h. 220/969 What is prob of picking 1 y and 1 o when two letters picked without replacement from rrnoriynrnnrmnir? 1/120 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from vtvttvpvptptvtth. 7/120 Three letters picked without replacement from {w: 1, c: 9, l: 2, i: 2, x: 4, k: 2}. What is prob of picking 2 i and 1 w? 1/1140 Calculate prob of picking 1 r and 1 x when two letters picked without replacement from zexezgllrerrlrezr. 5/136 Calculate prob of picking 1 g, 2 x, and 1 z when four letters picked without replacement from {x: 2, z: 5, g: 13}. 13/969 Two letters picked without replacement from {j: 1, g: 1, z: 1, c: 2}. What is prob of picking 1 z and 1 g? 1/10 Two letters picked without replacement from pugsjyj. Give prob of picking 1 j and 1 y. 2/21 Two letters picked without replacement from {p: 11, t: 9}. What is prob of picking 1 t and 1 p? 99/190 Three letters picked without replacement from ntnhkkkkkhnhkhnntn. What is prob of picking 3 k? 5/204 What is prob of picking 2 n and 1 x when three letters picked without replacement from lxrrrnlrrrxrlnlnl? 3/340 Calculate prob of picking 1 p, 1 q, and 2 w when four letters picked without replacement from qrvqqqqwqqrqwqqpqq. 1/255 Calculate prob of picking 2 u and 2 x when four letters picked without replacement from {x: 4, n: 4, u: 6}. 90/1001 What is prob of picking 1 b and 1 v when two letters picked without replacement from {a: 3, e: 1, q: 1, b: 1, k: 3, v: 2}? 2/55 Calculate prob of picking 2 y when two letters picked without replacement from yahaayhyayy. 2/11 Two letters picked without replacement from vvvvxvvvvvx. Give prob of picking 2 v. 36/55 Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {f: 3, w: 2}. 3/5 Calculate prob of picking 4 p when four letters picked without replacement from dddpddppdpdpdddddd. 1/612 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {y: 5, z: 1, i: 1, g: 1, w: 1}. 1/36 Three letters picked without replacement from {r: 2, s: 1}. Give prob of picking 3 r. 0 What is prob of picking 2 r when two letters picked without replacement from rdrrrrrrrrrrrdrrrrdr? 68/95 Two letters picked without replacement from {s: 1, w: 1, x: 2, k: 3, d: 7}. Give prob of picking 2 x. 1/91 Four letters picked without replacement from ggrctccgrcttc. Give prob of picking 1 g, 1 r, 1 t, and 1 c. 18/143 Calculate prob of picking 1 m, 1 b, and 2 u when four letters picked without replacement from umbbmbumbm. 8/105 Two letters picked without replacement from tttttttttt. Give prob of picking 2 t. 1 What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvv? 1 Two letters picked without replacement from {z: 1, r: 1, d: 2}. What is prob of picking 1 r and 1 z? 1/6 What is prob of picking 2 d when two letters picked without replacement from uuduuduuuuuuuduuuuuu? 3/190 What is prob of picking 2 p and 1 i when three letters picked without replacement from opipppppcpcpocpoppcc? 11/228 Two letters picked without replacement from {f: 4, a: 4, z: 3}. Give prob of picking 1 f and 1 z. 12/55 What is prob of picking 3 m and 1 j when four letters picked without replacement from {m: 8, j: 2}? 8/15 What is prob of picking 1 n, 2 w, and 1 z when four letters picked without replacement from wzznwzznh? 4/63 Four letters picked without replacement from nhahaohhqcha. What is prob of picking 2 a, 1 q, and 1 c? 1/165 Four letters picked without replacement from sslnt. Give prob of picking 1 t, 1 s, 1 l, and 1 n. 2/5 What is prob of picking 2 q when two letters picked without replacement from {h: 2, f: 2, j: 3, q: 6}? 5/26 Two letters picked without replacement from {q: 1, v: 3, z: 1, r: 1, n: 1}. Give prob of picking 1 r and 1 v. 1/7 Two letters picked without replacement from {o: 1, n: 1, l: 1, e: 9, v: 1, p: 5}. Give prob of picking 1 n and 1 e. 1/17 Three letters picked without replacement from {d: 4, o: 3, c: 2, r: 1}. Give prob of picking 1 d, 1 r, and 1 o. 1/10 What is prob of picking 1 c and 3 q when four letters picked without replacement from {c: 5, q: 3}? 1/14 What is prob of picking 1 j and 2 m when three letters picked without replacement from {g: 3, m: 7, j: 9}? 63/323 What is prob of picking 1 c and 1 o when two letters picked without replacement from {w: 1, o: 5, z: 1, f: 2, c: 1}? 1/9 Four letters picked without replacement from bbbbbb. What is prob of picking 4 b? 1 What is prob of picking 1 o and 2 c when three letters picked without replacement from ccccocoo? 15/28 What is prob of picking 1 v and 1 i when two letters picked without replacement from ibjijfjjvjvjivv? 4/35 Three letters picked without replacement from ssbssbbssssssbsbsss. Give prob of picking 3 b. 10/969 What is prob of picking 1 g, 1 n, 1 f, and 1 m when four letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
at is the second derivative of 12956*c**4 + 6330*c + 2 wrt c? 155472*c**2 What is the third derivative of -70*m*o**3 - 9*m*o**2 - 2*o**2 wrt o? -420*m Find the third derivative of -m**4 + 6238*m**3 + 126*m**2 + 6*m wrt m. -24*m + 37428 Find the second derivative of -253*k**2*u**2 - 61*k**2*u wrt u. -506*k**2 Find the third derivative of 5*u**6*z - 53*u**5*z**2 - 22*u**2*z**2 + 2*u*z**2 wrt u. 600*u**3*z - 3180*u**2*z**2 What is the second derivative of -b**5 - 47*b**4 + 70*b wrt b? -20*b**3 - 564*b**2 Find the second derivative of 5262*m**4 + 2*m**3 + 2*m**2 - 12097*m wrt m. 63144*m**2 + 12*m + 4 Find the third derivative of -3767*a**3 + 5*a**2 + 9*a wrt a. -22602 Find the second derivative of 6*o**3*s + 3*o**3 + 2*o**2*s + 100*o*s + o wrt o. 36*o*s + 18*o + 4*s What is the second derivative of -j**3 + 461*j**2*y - 2380*j*y wrt j? -6*j + 922*y What is the second derivative of m**4 - 2*m**3 + 5346*m**2 + 10220*m? 12*m**2 - 12*m + 10692 What is the first derivative of 6*a*h**3*k*u + 469*a*h**2*k + 3*a*u + 2*h**3*k - h**2*k*u + 2*h**2*k wrt u? 6*a*h**3*k + 3*a - h**2*k Find the third derivative of -9*c**3*w**3 + 7*c**3*w**2 - c**3 + 3*w**2 wrt w. -54*c**3 What is the second derivative of 9*u**3*v**4 + 12*u**3*v**3 + u**3*v - 2*u**3 - 565*u*v wrt v? 108*u**3*v**2 + 72*u**3*v What is the second derivative of -146*w**4*y**2 + w*y**2 - 2*w - 133*y wrt w? -1752*w**2*y**2 Find the third derivative of 2*j**5*n - 562*j**4*n - 4*j**2*n + 24*n wrt j. 120*j**2*n - 13488*j*n What is the third derivative of -148*p**5 + 209*p**2? -8880*p**2 What is the third derivative of -36*a**3*s - 2*a**3 - 798*a**2*s - a*s - 2*a wrt a? -216*s - 12 What is the first derivative of 198*d**2 - 808? 396*d What is the third derivative of 274*c**6 + 136*c**2 wrt c? 32880*c**3 Differentiate -47*g**2*m**3 - 2*g**2*m + 12*g*m + 2346*m**3 with respect to g. -94*g*m**3 - 4*g*m + 12*m Find the third derivative of 68*n**5 - 2*n**3 + 83*n**2. 4080*n**2 - 12 What is the third derivative of 6804*k**3*s*y**3 + k**2*s + 150*k**2*y**3 + k**2*y**2 + 7*k*s*y**3 wrt k? 40824*s*y**3 Differentiate 133*i*l**3 + i*l**2*o + i*l*o - 2*i*o + 2*l**3 + 22*l**2*o + l - 2 wrt i. 133*l**3 + l**2*o + l*o - 2*o What is the second derivative of 1314*b*z**5 - 3*b*z**2 + 10*b*z + 15*z + 16 wrt z? 26280*b*z**3 - 6*b What is the derivative of 10*h**2*k**3 - 2*h*k**3 + h*k**2 - 35*k**3 wrt h? 20*h*k**3 - 2*k**3 + k**2 What is the first derivative of k**2 + 64*k - 225 wrt k? 2*k + 64 What is the second derivative of 75*h*m*p + h*p**2 - 342*m*p**4 - 2*p wrt p? 2*h - 4104*m*p**2 What is the third derivative of 2*l**5 - 29*l**3 + 673*l**2? 120*l**2 - 174 Differentiate 636*t - 2588 with respect to t. 636 What is the second derivative of -3*a**3 - 609*a**2 + 194*a wrt a? -18*a - 1218 Find the third derivative of 82*j**3*u**3*v - 3*j**3*u**2 + 6*j**3*v**3 + 3*j**2*u**2*v**3 + 11*j*u**2*v**2 + 2*j*v**3 + u**3 + 9*u**2*v**3 wrt j. 492*u**3*v - 18*u**2 + 36*v**3 Find the second derivative of 475*f**3 - 2*f**2 - 64*f + 50. 2850*f - 4 Find the second derivative of 7428*a**2*t**3 + 11*a*t**3 - 2*a*t - 2*t**3 - 268*t wrt a. 14856*t**3 What is the second derivative of 480*n**4 + 3*n**2 - 206*n? 5760*n**2 + 6 Find the second derivative of 71*d**2 - 1115*d. 142 What is the third derivative of -11*f**3*i**2 - 3*f**3 + f**2*i**2 - 19*f**2*i - 2*i**2 wrt f? -66*i**2 - 18 What is the third derivative of 260*i**5 - 40*i**2 - 2*i wrt i? 15600*i**2 Differentiate 15*n**2 - 179*n - 4831 wrt n. 30*n - 179 What is the second derivative of -2854*z**3 + 4601*z? -17124*z Differentiate -10*i*u**3*x + 9*i*u**2*x - 3*i*u - 8*u**3 with respect to x. -10*i*u**3 + 9*i*u**2 What is the third derivative of -371*s**3 - 508*s**2? -2226 Find the second derivative of 17*l**3*x**3 - l**3*x + 2*l**3 - 12*x**4 - 109*x wrt x. 102*l**3*x - 144*x**2 What is the second derivative of 1101*l**3 + 54*l - 9 wrt l? 6606*l Find the third derivative of -11751*c**3 - 14005*c**2 wrt c. -70506 Differentiate 3*c**3*s*z + 111*c**3*s - c**3 + c**2*s - 13*c**2 - 2*c*z + s wrt s. 3*c**3*z + 111*c**3 + c**2 + 1 What is the first derivative of -3*f**3 + 21*f**2 + 53 wrt f? -9*f**2 + 42*f Find the third derivative of -n**5 + 2*n**4 - 3963*n**3 - 3120*n**2 - 4*n. -60*n**2 + 48*n - 23778 What is the second derivative of 20*i**4 + 4*i**2*q**3 - 2*i**2 - 2*i*q**3 + i*q**2 + 58*i*q wrt i? 240*i**2 + 8*q**3 - 4 What is the second derivative of 11*g**3 - 4*g**2 - 314*g wrt g? 66*g - 8 Find the first derivative of -c**2 - 139*c*j**2 - 304*j**2 wrt c. -2*c - 139*j**2 What is the derivative of -5290*f*t**2 + 5579*t**2 wrt f? -5290*t**2 Find the second derivative of -2152*y**3 - 163*y + 27. -12912*y What is the second derivative of 33*b**4 + 2*b**3 - 314*b wrt b? 396*b**2 + 12*b What is the first derivative of 3*r**3*v - 196*r**3 + r*v - 4*v**2 wrt v? 3*r**3 + r - 8*v Find the third derivative of 963*i**3*u - 744*i**2*u wrt i. 5778*u What is the second derivative of z**3 + 3146*z**2 - z + 4? 6*z + 6292 Find the second derivative of -92*d**3 - 2*d**2 + 687*d. -552*d - 4 What is the third derivative of -80*l**5 + 5*l**2 - 10*l wrt l? -4800*l**2 What is the second derivative of -29*c*w**4 - 2322*c - 131*w**4 - 2*w wrt w? -348*c*w**2 - 1572*w**2 What is the first derivative of -19*h**2 + 2*h + 205? -38*h + 2 What is the first derivative of 2*g**4*y - g**2*y - 23*g*y - 123*y wrt g? 8*g**3*y - 2*g*y - 23*y What is the second derivative of -a*p**2 - 49*a*p*u - 2*a*p - a*u - 4*p**4*u - 2*p**4 - u wrt p? -2*a - 48*p**2*u - 24*p**2 Differentiate 376*t + 177. 376 What is the second derivative of 1857*k**3 - k**2 + 2*k + 754 wrt k? 11142*k - 2 Differentiate 3*g**3*j - 435*g*j**2 + 2*j**2 - 27*j + 55 with respect to g. 9*g**2*j - 435*j**2 What is the third derivative of 123*m**3*o + 2*m**3 + 2*m**2*o - m*o - 3*o + 2 wrt m? 738*o + 12 Find the first derivative of -3144*l**2 + 2634. -6288*l What is the second derivative of -13*b**4 + 2*b**3 + 689*b? -156*b**2 + 12*b What is the first derivative of -g**3*r + g**3*u + g**2*r*u + 3*g**2 - 9*g*r + 48*r*u wrt u? g**3 + g**2*r + 48*r Find the first derivative of 6*c*h*z + 22*c*h - 12*c*z**2 - 2*c + 3 wrt z. 6*c*h - 24*c*z Differentiate -h**4 - 1790*h - 695. -4*h**3 - 1790 Find the second derivative of -49*k**3*t**3 + 2*k**3 + 12*k**2*t**3 + 25*k*t**3 - 50*k*t - k wrt k. -294*k*t**3 + 12*k + 24*t**3 What is the first derivative of 203*k - 282 wrt k? 203 Find the third derivative of -19287*q**3 + 3*q**2 + 1168*q wrt q. -115722 What is the first derivative of -517*v*x**3 - 18*v + 2 wrt x? -1551*v*x**2 What is the second derivative of 2*o*r**3 + 1017*o*r**2 - 37*o*r - 6*r wrt r? 12*o*r + 2034*o What is the first derivative of 3*a**2*x - 2*a*i*x + a*i - 2*i*x + 7*i wrt a? 6*a*x - 2*i*x + i What is the third derivative of -3*t**5 - t**4 - 72*t**3 + 159*t**2 - 7*t + 1 wrt t? -180*t**2 - 24*t - 432 Find the second derivative of -3*t**3 + 276*t**2 - 3184*t wrt t. -18*t + 552 Find the first derivative of -17*o**3 + 2*o**2 + 19. -51*o**2 + 4*o Find the first derivative of 4*h*k**2 + 7*h*s**2 + 18*k**2*s - 2*k**2 + 3*k*s**3 - 16*k wrt s. 14*h*s + 18*k**2 + 9*k*s**2 Find the second derivative of 5189*c**3*k**2 + 2*c**2*k**2 + 7*c*k**2 - k**2 + 2*k wrt c. 31134*c*k**2 + 4*k**2 Differentiate -2*t**2*x**3 + 41*t**2*x**2 - 93*t**2 + 1 wrt x. -6*t**2*x**2 + 82*t**2*x What is the derivative of -41*o**4 - 7*o - 1238? -164*o**3 - 7 What is the third derivative of -2927*g**5*u - 169*g**2*u + g**2 + 8*g*u wrt g? -175620*g**2*u What is the third derivative of -6*g**3*i*u - 2*g**3*i + 2*g**3*u + 2*g**3 + g**2*i*u - 2*g**2*i - 2*g**2*u - 11*g**2 - g*i wrt g? -36*i*u - 12*i + 12*u + 12 Find the third derivative of 177*t**6 - t**5 - 477*t**2. 21240*t**3 - 60*t**2 What is the third derivative of -14*a**4*n - 92*a**4 - a**2 - 9109*a*n wrt a? -336*a*n - 2208*a Find the third derivative of -i**3*j**2*o**3 - 1292*i**3*j**2*o + 8*i**2*j**2*o**3 + 7*i**2*j*o**2 + 2*i*j**2 + 12*j*o**3 wrt i. -6*j**2*o**3 - 7752*j**2*o What is the third derivative of d**5 - 107*d**4 + 120*d**2 + 2? 60*d**2 - 2568*d Find the second derivative of 67*f**2 - 4*f - 631. 134 Find the third derivative of 5695*h**3*x - 13*h**2*x + h*x - 26 wrt h. 34170*x What is the second derivative of -734*r**2 + 5768*r? -1468 What i
{ "pile_set_name": "DM Mathematics" }
-2*i = -p - 2, z*i - 4*p - 2 = -0*i for i. 1 Suppose i + 4*s = -6, 4*i = -0*i - 4*s - 48. Let q be (20/(-35))/(4/i). Solve 1 = 3*p + q*d, -3*p - p + d = 6 for p. -1 Let v be -1*(3 - 3)/(-2). Solve 3 = -3*n - 4*s + s, -4*n - 5*s = v for n. -5 Let h be -1*(3 - 3) - 10. Let v be -3*(2 - h/(-3)). Let j be (-3)/(4/2 - 3). Solve 0*z - 4*z = -j*g + 8, -5*g - 40 = v*z for g. -4 Suppose -4*v = 3*l - 4*l + 3, 4*l = 3*v + 25. Suppose -3*f = t + 5, -5*t + 4*f = l*f - 11. Let d = -4 + t. Solve 2*i + 8 = d, 4*i - 13 + 35 = -2*r for r. -3 Let u = -1 - -1. Let d = 7 - 7. Let y = d - u. Solve -4*j - 5*t + 7 = 0, 5*t = -j - y*t - 2 for j. 3 Let k = 1 - -7. Let l = k - 5. Solve -8 = 4*g + 3*j, -2*g + l = 3*j + 1 for g. -5 Let u(r) = r**3 - 1. Let j be u(1). Suppose z + 9 + 16 = 4*b, 4*b = 3*z + 27. Suppose j*x - b = -3*x. Solve -3*q + 10 + x = -o, 4*q - 2*o = 14 for q. 5 Let l be -1 - (-4 + (2 - 2)/1). Solve -u = 2*h + 4*u - 11, -l*u - 12 = -5*h for h. 3 Suppose 5*g = 2*w - 2 - 23, 3*w = 5*g + 25. Suppose w = 3*k + k - 16. Suppose 3*c = 5*c - k. Solve -z = 2*a - 0 + c, 0 = -4*a + 4 for z. -4 Suppose -3*c - 2*c + 30 = 0. Solve 4*t - 12 = q, -2*q - c = -3*t + 4*t for t. 2 Let t be (-665)/14 - 1/2. Suppose 3*x - 5*y = 19, -17 = -4*x + 2*y + 3*y. Let z be x/(-6) - t/18. Solve 0 = 3*o + 5*v - 16, -2*v = -2*o - z*v - 1 for o. -3 Let l(r) = r**3 + 8*r**2 + 7*r - 9. Let d be l(-7). Let t(h) = -h**2 - 9*h + 5. Let a be t(d). Solve -5*g = -4*x - 0*g, -a*x + 45 = 5*g for x. 5 Suppose 6 = 5*h - 54. Suppose -2*q = q - h. Solve 3*m + 24 = 3*t, -q*m = -2*t + 24 - 0 for t. 4 Let j be (-5 - -4) + -1 - (2 - 7). Suppose -5*w = -3*p - 15, -2*p - 19 = w - 7*p. Solve -14 = -5*l - 3*q, 3*l - j*q = w*l - 12 for l. 1 Let m(p) = p**3 - 4*p**2 + 7*p - 8. Let v be m(3). Solve -v*r + 2*h + 14 = 0, r - h + 1 = 3 for r. 5 Let q(g) = g**3 + 25*g**2 + 22*g - 47. Let x be q(-24). Solve 3*r = t + x - 3, 3*r + t + 10 = 0 for r. -2 Let c = 24 - 12. Let s be 2*-1*(-30)/c. Suppose s*r = 4*t + 6, 2 + 5 = 4*r - t. Solve -2*z - g = 2*g + 19, -2*g = -4*z + r for z. -2 Let q(w) = -w**3 + 7*w**2 - 5*w - 2. Let i be q(6). Solve 2*t + 8 = 0, i*t - t + 13 = -a for a. -1 Let b(x) = 2*x**2 - x + 2. Let t be b(0). Solve 2*j - t*k + 6 = 0, 2*j - k = 4*k - 6 for j. -3 Let f(b) = 4*b**2 - 3*b + 2. Let k be f(2). Suppose 3*w - 2*g = 13, 0*g - 3*g = -k. Solve 4*h + 4*q - 12 = 0, h - 2*q = -q - w for h. -2 Let r(q) = q**3 - 3*q + 3. Let m be r(2). Let p be (5 - (1 - -2)) + 2 + 1. Solve m*w + 22 = 4*f, p*w + 3*f - 2 = -f for w. -2 Suppose 0 + 0 = -8*l. Solve 0 = 3*a + 5*d + 10, l = 4*a - 2*d - 2 - 2 for a. 0 Suppose -20 = -5*v, -v + 138 = 3*z - 4*v. Suppose -2*m - 4*x + 32 - 2 = 0, -5*x + z = 5*m. Suppose -10 = -m*q - 0*q. Solve -3*r = 12, -4*r - 17 = q*o + 1 for o. -1 Let p(w) = w**3 + 12*w**2 + 10*w - 8. Let o be p(-11). Let y be 2/(-8) - (-9)/4. Solve -y*d = 5*l - 3*d - 10, -o*d + 9 = -2*l for l. 3 Let u be (-2)/8 + 102/24. Suppose u*y - 3 - 1 = 0. Solve -l + 16 = -5*n, l + 5 - y = 0 for n. -4 Suppose -3*h + 9 = -p - 7, -5*p - 20 = -3*h. Let r = 2 - h. Let s be 24/(-9)*r/2. Solve s*b = -5*q - 14, 4*q = -2*b + 1 - 11 for b. -1 Let f = -26 - -20. Let n be (-10)/(-8) + f/(-8). Solve n*r + 3*r = 4*g - 7, -3*r = -2*g + 5 for g. -2 Suppose t + 2*p - 3 = 0, 5*t + 30 = 10*t + 5*p. Solve 4*y = 2*w + 6, 0*y - t = -5*y + 2*w for y. 3 Suppose 11*m + 2*m - 143 = 0. Let j(y) = 7*y**2 + y. Let h be j(-1). Let f be (4/6)/(2/h). Solve 5*g = -4*w - 11, -f*w + m = -0*g - 3*g for w. 1 Suppose -3*f + f = -6. Solve 3*l + 0*l = -d + 10, l - f*d = 0 for l. 3 Suppose -3*a + 2*a = -2*k + 22, 20 = k - 5*a. Suppose k = 4*p + 2. Solve -7 - 3 = 5*t + 5*c, 0 = -3*t - p*c - 6 for t. -2 Let c(m) = 2*m - 6. Let i be c(4). Let z(l) = -48*l**3 - 2*l**2 - l. Let j be z(-1). Let x = j - 26. Solve i*d - 1 = s, 0 = 4*d - d + 3*s + x for d. -2 Let r be 2/10 - 8/(-10). Suppose r = 2*o - 3. Let b be (-3*24/(-9))/o. Solve n = -2*l + 4*l + 5, 3*l - b*n = 0 for l. -4 Suppose -s - r = 4*s + 4, -20 = 3*s + 5*r. Suppose s = d + 1 - 5. Solve d*u + 5*o + 3 = 0, 3*u + 4*o = -5 + 2 for u. 3 Let i = -1 + 1. Let u be i - 0 - (0 + 0). Let q = u + 0. Solve 2*g = 3*p - q*p, -5*g - 9 = -3*p for p. -2 Let z(l) = 2*l + 130. Let a be z(0). Suppose q + 4*q = a. Solve -5*g - 38 + 13 = -4*i, -5*i + q = -g for i. 5 Suppose 0 = q + 2 - 8. Solve h = 0, -v + h + 20 = -q*v for v. -4 Let q(y) = y**2 - 6*y + 5. Let s be q(5). Solve -3*b = 2*t - s + 1, 5*b + t - 3 = 0 for b. 1 Let a be (2/4)/((-6)/(4 + -64)). Solve 33 = -4*c - a*u - 0, -5*c - u - 15 = 0 for c. -2 Let p be -1 + (-1 - -7) + -3. Suppose -5*o - p*s + 6*s = -23, 6 = -3*s. Solve -o*w + 0*i + 3 = -3*i, 5*w - 2*i = 11 for w. 3 Suppose -6*f = 2*w - 4*f + 6, -2*w + 5*f - 13 = 0. Let a be 2 - 4 - 0 - w. Solve -2*m + 8 = -4*n, a*n + 2*m - 16 = -2*m for n. 0 Suppose -3*h - 1 = -h + r, -3*h - 5*r - 5 = 0. Solve h = -3*w - 4*q + 20, 5*w - q = 2*q + 14 for w. 4 Suppose 3*f = 3, 5*f - 14 + 4 = k. Let x(a) = a**3 + 5*a**2 - 2*a + 6. Let d be x(k). Solve 4*y - d = 2*q, -2*q - 8 = -3*y + 5 for q. -2 Suppose -5*a = 3*s - 28, 2*s + 52 = 5*a - s. Let c be 0 + (-2)/(a/(-12)). Solve 2*u - c*r = -0*u + 9, 5*r + 17 = 4*u for u. 3 Let g be ((-1)/(-2))/((-3)/(-42)). Suppose p = g - 4. Suppose 3 - 12 = -p*f. Solve 5*v - f*v + 16 = 4*j, -3*j = 2*v + 2 for j. 2 Let k = -29 - -21. Let i be 6 + (-3)/((-12)/k). Solve 0 = i*g - f + 22, -g + 4*f - 8 - 5 = 0 for g. -5 Let o(x) = -x - 4. Let q be o(-6). Suppose 2*y = 5*w - 110, 0*w - w + q*y + 22 = 0. Solve -4*c = -3*h - 19, 2*c - 2*h - w = 2*h for c. 1 Suppose 14*m = 16*m. Solve -5*k + h + 0*h + 18 = m, -k = 5*h + 12 for k. 3 Suppose 0 = 3*q + 2*q. Solve q*l + 3*r = 3*l + 3, -l - 3 = -2*r for l. 1 Let q be (-24)/(4 - (-44)/(-8)). Solve 5*s - 5 = -4*i, 5*s - q = -5*i - 6 for s. -3 Let t = -4 - -19. Let n be (t/6 - 3)*0. Solve -5*y + 2*s - 6*s + 10 = n, 0 = 3*y + 4*s - 6 for y. 2 Let t(m) = -m**3 + 3*m**2 - 2*m + 1. Let c be t(2). Solve 0*v - f = 4*v - c, v = 5*f - 26 for v. -1 Let y(v) = -v + 7. Let p be y(5). Let a = -7 + 7. Solve -h - 7 = -5*r, -2*h - r + 3*r + p = a for h. 3 Suppose 2*l - 12 - 22 = 0. Suppose 29 = -2*q + 2*j + 3*j, 4*q = -5*j + l. Let n be (4/q + 6)*1. Solve 0 = n*c - s - 5, -5*c + 3 = 2*s - 13 for c. 2 Suppose -5*m = y + 2*y + 59, -2*m - 32 = 4*y. Let h be m/(-4)*6/3. Solve -3*k - 40 = -h*v - 0*k, 3*k = -3*v for v. 5 Let m(g) = -g**2 - 16*g + 5. Let a be m(-7). Let i(k) = -k**3 - k**2 + 4*k - 4. Let h be i(-4). Let l = a - h. Solve -4*n = -y - 15, 3*y - l = -3*n - 2*y for n. 5 Let u = -2 + 6. Suppose 5*j - 3*j = 6. Let p(i) = -2*i - 1. Let d be p(-3). Solve u*t - 62 + 22 = -d*x, t = -j*x + 17 for x. 4 Suppose 0 = -g - 5, i + 0*i = g - 1. Let v = -6 - i. Solve v = -m + 2*p - 5, -5*m + 1 = -p - 1 for m. 1 Let j be (-4)/6 + 136/51. Solve -4*c + 2*p - 2 = j, 0 = -2*p + 4 for c. 0 Suppose 1 = -s - 0*s. Let n(l) = 8*l**2. Let i be n(s). Let z be (-2)/(-8) - (-62)/i. Solve 0 = -d + 5*u - 10, -2*u = -6*u + z for d. 0 Let o be (1 - 1 - 0)/(-1). Suppose 5*k = s + 102, -4*k = -o*s + s - 78. Suppose 0 = 13*n - 77 - 27. Solve 3*x + p + k = -4*p, n = 3*x - 2*p for x. 0 Let x be (-4)/(-2) + 0 + -2. Let j(v) = -2*v + 13. Let a be j(6). Let d = a - x. Solve -2*r = f - 4, 4*f - 4*r = -9 + d for f. 0 Let v = -18 + 18. Solve v*u = 4*u + 4*h, 0 = -4*h + 4 for u. -1 Let t be (-4)/10 - 42/(-5). Let v be 94/4 - 1/(-2). Suppose 3*y - 2*h = 13, -5*y + v = -2*h - 3. Solve -3*g - 4*w = -t*w - y, -4*g = 2*w - 2 for g. 1 Suppose -s = -w - 4*w + 6, 0 = -5*w + 10. Let b = 76 + -74. Solve -b*c - 3*f - 2 = 2*f, s*f - 4 = -3*c for c. 4 Let b(q) = 2*q + 6. Let p be (0 - (-2)/(-6))*-15. Let s be b(p). Solve 2*y + 8 = -3*k, y - 3*k = 5*y + s for y. -4 Suppose -4*h + 3*s + 17 + 52 = 0, -9 = 3*s. Let l be 13/4 + 1/(-4). Solve -h = 4*t - r, 5*t + 6 = -2*r - l for t. -3 Let q(l) = l + 7. Let n be q(-4). Solve n*z + 3*b = b - 9, 5*z + 37 = 4*b for z. -5 Let r(h) = -h**2 + 6*h - 6. Let i be r(4). Let g be (8/12)/(i/9). Solve -g*u + 5*k = -5*u - 17, 3*u + 4*k + 15 = 0 for u. -1 Let z(r) = r**2 + 10*r - 8. Let k be z(-11). Solve -3*h + 2*h = -5*w - 16, -k*h = -3*w for w. -4 Suppose c - 109 = -5*o + 2*o, -12 = -3*c. Let v(t) = 8*t. Let l be v(-3). Let u = o + l. Solve 5*a + 2*z + 6 = -u, -z = 2*a + 7 for a. -3 Let h(o) = -2*o + 1
{ "pile_set_name": "DM Mathematics" }
? False Is 1/52 greater than 109? False Are -31 and 3 equal? False Is -2397 less than or equal to -11978/5? True Are -3/590 and 7 nonequal? True Is 5/1813 not equal to 0? True Is -3/571 greater than -1? True Which is greater: 745 or 741? 745 Is 61360 at most 61359? False Is 30004 bigger than 30004? False Which is bigger: 0 or -1/3877? 0 Are -1 and -9/230 nonequal? True Which is bigger: 128/203 or 1? 1 Is -0.1 less than -27375? False Is 92 not equal to 181/2? True Is 335/13 at least 25? True Is 9953/7 at most as big as 1421? False Which is bigger: -189 or -190? -189 Is 0 <= -3/64? False Which is smaller: 194/87 or 2? 2 Which is bigger: 116 or 117? 117 Is -21 <= 0.13? True Is -0.7 at least 1.93? False Which is smaller: -129 or -124? -129 Is -0.105 > 0? False Which is bigger: 1 or -4/361? 1 Is -57 equal to -63? False Is 41117 less than 41117? False Which is greater: -5 or 145? 145 Are -3/2 and -1/993 equal? False Which is smaller: 1890/11 or 172? 1890/11 Which is smaller: 849/5 or 169? 169 Which is bigger: -1 or 1/442? 1/442 Is -707 at least as big as -707? True Is 17304 < 2/5? False Which is bigger: -17 or -158/9? -17 Which is greater: -5/6 or -2/255? -2/255 Which is smaller: -2/679 or 0.1? -2/679 Is 458 at most 0.1? False Is -268 equal to -1880/7? False Is 295 greater than or equal to 294? True Is -15 bigger than 2/31? False Which is bigger: -1167 or -2? -2 Which is bigger: 84 or 102? 102 Which is bigger: -1 or -2/10885? -2/10885 Which is greater: -326 or -328? -326 Does -103 = -7? False Which is bigger: -1/101 or 5? 5 Is 641 at least 633? True Which is greater: 244 or 236? 244 Is -394 > -393? False Is -18 not equal to -16? True Does -5 = 1070? False Is -36 at least as big as 20? False Are -370 and -368 nonequal? True Which is bigger: 4/261 or -3? 4/261 Is 0.5 bigger than 1.3? False Which is smaller: -1/1221 or 0? -1/1221 Is 5/496 at most as big as 2/19? True Which is smaller: 15 or 38? 15 Is 1 greater than 1879? False Which is smaller: -1 or -102? -102 Is -1387 at most -1388? False Is 37 at least as big as 71/2? True Which is smaller: -917 or 1.7? -917 Which is smaller: 146 or 138? 138 Is -14 greater than or equal to -1/4? False Are -130 and -130 equal? True Is 3 at least as big as 113/41? True Is 3688 < 2/5? False Which is greater: -7118 or -7117? -7117 Is -171 less than or equal to -109? True Is 9882 greater than 9883? False Is -6328 > -6330? True Which is smaller: 56 or 55? 55 Which is smaller: -1 or -17/148? -1 Is -924 greater than -933? True Which is smaller: -1/477 or 1? -1/477 Which is bigger: -1/2 or 142? 142 Are 433/26 and 17 nonequal? True Which is greater: 0 or 1/1376? 1/1376 Which is greater: 1202 or -3? 1202 Do 18 and -18 have the same value? False Does 90 = 164? False Which is greater: -3 or 124? 124 Which is greater: -30 or -28? -28 Is 0 at least as big as 4/479? False Is 116 less than 116? False Which is smaller: -69/97 or -1? -1 Which is greater: -13 or -2? -2 Is 74 at most as big as 966/13? True Which is smaller: -71 or -431/6? -431/6 Is -1/67 != 20? True Which is greater: 1 or -2/731? 1 Is 185 greater than or equal to 180? True Is -38 at least 7? False Which is smaller: 1 or -0.2239? -0.2239 Which is smaller: 0 or 3/446? 0 Is -0.08 greater than -0.05? False Which is smaller: 0.008 or -6? -6 Is 0 <= 3/670? True Is -4/3 < 143? True Which is smaller: -6/67 or 1? -6/67 Which is smaller: -18393 or -18394? -18394 Is 608 greater than 606? True Which is smaller: -0.3 or -55? -55 Which is bigger: 23 or 14? 23 Which is bigger: -18 or -40? -18 Is -2/643 equal to 1? False Which is smaller: -5 or -430/107? -5 Is -552 bigger than -2? False Is -652 at least -3? False Which is smaller: 833 or 832? 832 Which is greater: -60 or -64? -60 Are 854 and 855 equal? False Are 0 and -1/3307 nonequal? True Is 25 not equal to 3? True Which is greater: -669 or -671? -669 Are 687 and 687 non-equal? False Do 4/347 and -1 have the same value? False Is -2402 at least as big as -2402? True Which is smaller: -1389 or -1388? -1389 Does 77 = 76? False Is 0 >= 2/2275? False Is 32 less than 75? True Which is greater: -100 or -59? -59 Which is smaller: -2/11 or 46? -2/11 Is -10 smaller than 465? True Is -1 greater than or equal to 119? False Which is bigger: -17 or 31? 31 Is -43 at least as big as -44? True Does 239 = 232? False Are -488 and -474 non-equal? True Which is bigger: 0 or 162? 162 Is 1 equal to 223? False Which is greater: -1 or -1/8340? -1/8340 Which is smaller: 0.1 or -5/196? -5/196 Is 1 >= 2/6129? True Which is bigger: 28.4 or 2? 28.4 Which is smaller: 15 or -167? -167 Which is smaller: -20 or -101/5? -101/5 Are 8944 and 8946 non-equal? True Which is smaller: -75 or -67? -75 Is 423 >= 431? False Is -133 < -131? True Is -367 at most as big as -369? False Which is bigger: 906 or -2? 906 Is -25 smaller than -76/3? False Which is greater: -2234 or -2235? -2234 Is 177 != 3? True Are -1 and 2/31633 equal? False Which is smaller: -111 or -99? -111 Is 89 at most -3? False Which is smaller: -331 or -369? -369 Which is bigger: -2 or 1/33? 1/33 Which is smaller: -2/9 or -0.45? -0.45 Is 523 at most as big as 6? False Are -187 and -187 unequal? False Are -21 and -17 non-equal? True Which is bigger: 1050/11 or 96? 96 Is -3565 bigger than -7129/2? False Which is bigger: -994 or -3979/4? -994 Do -5 and 0 have different values? True Which is bigger: 3/304 or -1? 3/304 Which is smaller: 1 or -2/2017? -2/2017 Is 4103 smaller than 4110? True Which is bigger: -22 or -29? -22 Which is bigger: -47 or 22? 22 Is -228 bigger than -226? False Is -1 != 439? True Which is greater: 13 or 3? 13 Which is greater: 222 or -2/9? 222 Does -115 = -117? False Is 0 >= 13/12? False Is 426 < 426? False Is 8/12331 >= 1? False Is -13/147 less than 0? True Which is greater: -10670/17 or -629? -10670/17 Are -1 and 3/19 non-equal? True Is -9/5 <= -2? False Which is smaller: 41 or 2? 2 Is 1 equal to -11/86? False Are 5 and 28/31 equal? False Does 553 = -1/5? False Which is bigger: -2/3 or 1218? 1218 Do -1 and 4292 have the same value? False Is 318 less than -10? False Is 2489 greater than or equal to 2490? False Which is greater: 62/107 or 2? 2 Is -3 != -45? True Is -3/22964 >= 1? False Is 202 greater than 2? True Which is smaller: -325 or -324? -325 Which is bigger: 1/25 or -1/3? 1/25 Which is smaller: 36 or 1840/51? 36 Which is greater: -0.0621 or -1/4? -0.0621 Are 2 and 1/84 non-equal? True Are 134/97 and 0 equal? False Is 7130 at most 7132? True Is 3/12215 greater than 1? False Which is bigger: 7 or 69/10? 7 Which is greater: 15 or 9? 15 Is 2 less than or equal to 17/10? False Is 188 bigger than -0.9? True Is -43 bigger than -46? True Is 677 != 1355/2? True Is 475/6 at most as big as 79? False Is 1 >= -5/74? True Is -52 smaller than 0.474? True Which is smaller: 1/264 or 0? 0 Which is greater: 604 or -0.1? 604 Does -3323 = -3322? False Is -438 greater than or equal to -438? True Is -198/35 >= -5? False Which is bigger: -204 or -205? -204 Is -187 bigger than -1/4? False Is 12 > -0.4? True Which is smaller: 20 or 22? 20 Which is bigger: -41 or -0.05? -0.05 Is 1107 <= 1? False Which is smaller: -24 or -39? -39 Do 28 and 24 have the same value? False Is 43 at least 43? True Which is smaller: 0.1 or -1699? -1699 Which is smaller: -0.3 or 1076? -0.3 Is -3/1948 equal to 1? False Is 1 not equal to 5/719? True Is 11 greater than or equal to 12? False Which is smaller: 2/635 or 2/3? 2/635 Is 0.02838 > -1/2? True Which is bigger: 1 or -1/43? 1 Is -59 bigger than -57? False Which is bigger: -5320 or -5318? -5318 Is -2 less than or equal to -11? False Which is bigger: 7 or -24? 7 Which is greater: -2/20031 or 1? 1 Which is smaller: -1502 or -1498? -1502 Which is smaller: 0.3 or 3/74? 3/74 Is -352 at least 2/9? False Which is bigger: -2 or -234? -2 Which is smaller: 9347 or 9348? 9347 Which is greater: -213 or -214? -213 Which is smaller: 1/69997 or 1? 1/69997 Which is greater: 19 or 30? 30 Is 45 >= -3? True Which is smaller: -2 or -1730? -1730 Which is smaller: 0 or 2/753? 0 Is 2 greater than or equal to 1? True Do 1/3 and -0.6385 have different values? True Is 773 > 772? True Is -2748/11 != -251? True Which is bigger: -1/3 or -25234? -1/3 Is -5 greater than 0? False Is 373 greater than 372? True Ar
{ "pile_set_name": "DM Mathematics" }
a) -1 (b) 0 (c) 0.2 (d) 5/7 a Which is the closest to -2? (a) -0.03 (b) -39 (c) 6/5 a Which is the nearest to -1? (a) 1/3 (b) -0.104 (c) 5 (d) -1/6 d What is the nearest to -3.5 in -2, 65, -3/5, 0.3, 3? -2 What is the nearest to 893 in 13, 0.5, -2? 13 Which is the nearest to 19? (a) 0 (b) 2/5 (c) -0.4 (d) 7/4 (e) -4 d Which is the closest to 0.3? (a) -21 (b) 0.2 (c) -0.1 (d) -8 b Which is the closest to 2? (a) -26 (b) 4 (c) 2/161 (d) -1 (e) -0.2 c Which is the closest to -715? (a) -4 (b) -0.9 (c) 4 a What is the nearest to 2/7 in -10/3, -0.3, 0, 1, -5? 0 What is the closest to 10 in 1/9, 5, 2, 1? 5 What is the closest to 2 in -19/2, -1/5, 5, 0.2, 38? 0.2 What is the nearest to -1 in 11, 1/9, -0.1, 32, 4/7? -0.1 What is the nearest to -2/155 in -7/2, 12/11, 0.3, 2/9? 2/9 Which is the closest to -0.287? (a) 22 (b) 2/9 (c) 5 b Which is the closest to 0.3? (a) 0.3 (b) 2/39 (c) -50 (d) -0.1 (e) 2 a Which is the nearest to -96? (a) 0 (b) -0.2 (c) -2/91 (d) 1/3 b What is the nearest to 2 in 0.585, -4/3, -7? 0.585 Which is the closest to -0.1? (a) 0.2 (b) 11428 (c) 1/3 a What is the closest to 2 in -158, -3, 1, -3/5, 0.3? 1 What is the closest to 0 in 2, 7958, 3/4? 3/4 What is the closest to 0 in -3/11, -61, -5, 2? -3/11 Which is the closest to -1? (a) 1 (b) -4/9 (c) -1/5 (d) 80.8 (e) 2.2 b Which is the nearest to -1/4? (a) -1/8 (b) 2 (c) -2/9 (d) 0.166 c What is the closest to 1/23343 in 2, -3, 4? 2 What is the closest to -3 in 4/3, -0.1, 496, 2? -0.1 Which is the nearest to -1? (a) -10 (b) 0.1 (c) 0 (d) 119 (e) 4/7 c Which is the nearest to -4? (a) -5 (b) -0.1 (c) 4/51 (d) -3/79 a Which is the nearest to 64.5? (a) -0.05 (b) 2/13 (c) 2 c What is the closest to 2/7 in -2/21, -0.2, 5, 3, -2.08? -2/21 Which is the nearest to 2? (a) -4 (b) 4/17 (c) 1/35 b What is the closest to -1 in 0.2, -0.833, -4, 0.4, 1? -0.833 Which is the closest to 7? (a) -0.05 (b) -256 (c) -1 a What is the nearest to -0.08 in -1/10, 0.105, -3/7? -1/10 What is the nearest to 1/3 in -0.05, 12/7, 0.01, 1/8, -1/5? 1/8 What is the closest to -175 in 3/2, 3/5, -1, -0.1? -1 Which is the nearest to 0? (a) -1/29 (b) -0.3 (c) -20/9 (d) 2 a Which is the nearest to 0? (a) 4 (b) 6684 (c) -5 a Which is the nearest to 1.2? (a) 2/5 (b) 2/7 (c) 2/19 a Which is the closest to 2/5? (a) 43.4 (b) -1/7 (c) 1 b Which is the nearest to 2? (a) -2/9 (b) 27 (c) -45 (d) 0.027 d What is the closest to 176 in -9, 6, 2/13? 6 Which is the closest to -5/8? (a) 16 (b) -7 (c) 2 (d) -1.6 d Which is the nearest to 0.06111? (a) 1 (b) 2/11 (c) -4/5 b What is the closest to -0.2 in 0.4, 1/725, 4, -2/35, -2/9? -2/9 Which is the nearest to -17.2? (a) -8 (b) -9 (c) 5 b Which is the closest to 5? (a) -5 (b) 0.32841 (c) -0.2 b Which is the nearest to 0.1? (a) -5 (b) 35236/9 (c) 0.3 c What is the closest to 2/5 in -2/41, -23, -14/233? -2/41 What is the closest to 0 in 4/21, 12, -7, -0.3? 4/21 What is the closest to 5 in -0.4, 1, 0.0033, -2? 1 Which is the closest to -2/3? (a) 5 (b) -1 (c) 2/3 (d) -29 (e) 0.04195 b What is the closest to -0.12 in -0.5, -5, -8/11, 0.5? -0.5 Which is the nearest to 9? (a) -3/7 (b) 0.2 (c) 0.3 (d) 4/3 d Which is the closest to 2? (a) 3 (b) 5/4 (c) -6/11 (d) -1.6569 b Which is the closest to -0.05? (a) -0.1 (b) 5/226 (c) -0.2 a Which is the nearest to 16? (a) -2 (b) -3.27 (c) 1/2 (d) -0.5 c What is the nearest to 0.06 in 2, 1, 281? 1 Which is the nearest to -2/5? (a) -2 (b) -447 (c) -0.087 (d) -1/6 d Which is the closest to 29/24? (a) -5 (b) -5/3 (c) -2 b What is the closest to 2 in -0.07, -3, 2, -13? 2 What is the closest to 1/2 in -75, 2, 0.022? 0.022 Which is the nearest to 12142/3? (a) 0.4 (b) -3 (c) 0.05 a Which is the nearest to -0.1? (a) 5 (b) 0 (c) -998 (d) 1 (e) -3/4 b Which is the closest to -161758? (a) 0.2 (b) -5 (c) 1/3 (d) -2 b Which is the closest to -0.04? (a) 86 (b) -14 (c) -0.5 c Which is the closest to -0.1? (a) 0.57 (b) 7 (c) -4 (d) 3 a Which is the closest to 14/27? (a) 1 (b) -4 (c) -15 a Which is the nearest to -0.2? (a) -144 (b) 0.1 (c) -143/15 (d) 0.4 b Which is the closest to 2/5? (a) -0.028428 (b) -1.6 (c) -3 a Which is the closest to 1/5? (a) -2 (b) 3 (c) -0.1 (d) -0.3 c What is the nearest to -0.1 in -3/4, -2/7, 0.3, -4, -20.3? -2/7 What is the closest to 0 in 1, 0.11, -1/17, -9, 0? 0 What is the closest to -1 in 425095, -5, -4/3? -4/3 Which is the nearest to -4? (a) 3 (b) -7/3 (c) 1 b Which is the closest to 0? (a) -0.9 (b) -2/3 (c) 12.3 b What is the nearest to -5 in -2, 3/43, 0.1, -0.03, -2/21? -2 What is the closest to 1 in -16, 4/7, 2/73, 3? 4/7 Which is the nearest to -15? (a) -0.3 (b) 5 (c) 6 (d) 2 (e) -3 e Which is the nearest to 368? (a) -0.1 (b) -7 (c) -4 (d) -1/2 a Which is the nearest to -1/13? (a) 1 (b) 3 (c) -1 (d) 26 (e) -5/4 c What is the nearest to -2 in -4, 15, 1, 35? -4 What is the closest to -338 in -0.3, -23, 2? -23 What is the closest to -0.1 in -3.24, 1/4, -1, 2/9? 2/9 What is the nearest to 167 in -1, -0.1, 2, -19, 1? 2 Which is the nearest to 2/7? (a) 1/4 (b) -5 (c) 1367 a What is the closest to 2/7 in -1/23, -1/7, -33? -1/23 What is the closest to 0.1 in 31, -0.059, -2/35? -2/35 What is the nearest to 0.1 in -0.06, -2/3, -0.00453, 0? 0 Which is the closest to -1? (a) -4 (b) -3 (c) -33.4 b Which is the nearest to 2/15293? (a) -2/295 (b) -4/3 (c) 4/7 (d) -2 a Which is the closest to 24? (a) 36 (b) 5 (c) 3 (d) -2/11 a Which is the nearest to -151? (a) 2/3 (b) -4 (c) 1/4 (d) 4 (e) -5 e Which is the closest to 0? (a) -1 (b) -3 (c) 24590 a Which is the nearest to -1/3? (a) 1394 (b) -3 (c) 11 b Which is the nearest to -1/8? (a) 0 (b) -1 (c) -3 (d) -19 a Which is the closest to 0.2? (a) 3 (b) -3/5 (c) -0.188 (d) 1/3 d What is the nearest to 3.4 in 3, -0.5, 2/3, 0.2? 3 What is the nearest to 0 in 5, 10, 33/2, -2/13? -2/13 Which is the nearest to -1/4? (a) 0.04 (b) -1/2 (c) -53 b What is the nearest to 0 in -1, -9, -3, 2/17? 2/17 What is the closest to 0.1 in 2/41, 0.3, 21/29, -0.4? 2/41 What is the nearest to -3/8 in 18, -1/33, 0.2, 2/3, -0.1? -0.1 What is the closest to 1566 in 3/5, -1, 4, -4? 4 What is the closest to -1 in 2/15, -1070, 1.1? 2/15 Which is the closest to 12.11? (a) 13 (b) -4 (c) 1 a What is the closest to 3 in -0.4, -0.5, 60/163, -2/13? 60/163 Which is the nearest to 1? (a) -2/7 (b) -12514 (c) 1 c Which is the closest to 39? (a) 0.4 (b) 0.5 (c) -1 (d) 156 (e) -5 b What is the nearest to 134 in -1, -5, 7, -0.3, -1/3? 7 What is the nearest to -2001 in 2, 2/3, 14? 2/3 What is the nearest to -2 in -2/5, 0, 492, -1, -1/3? -1 Which is the nearest to 1/3? (a) 0.12 (b) 3 (c) -1 (d) -0.5 (e) 0.0058 a What is the closest to 0.63 in -2, 118, -2/25? -2/25 What is the nearest to -1/2 in 0.28, -0.5, -0.9? -0.5 What is the nearest to 1/153 in -4, -0.2, 482? -0.2 Which is the nearest to -0.3? (a) 0.3 (b) 83 (c) -29 a Which is the nearest to 0.3? (a) -3 (b) 0.04 (c) 11 (d) -64 b What is the closest to 109 in -1/10, -5, -4.1? -1/10 What is the nearest to -5 in -1/3, -353, -8, 0.3, -4/3? -8 Which is the closest to -3/2? (a) -0.4 (b) 3 (c) -6.8 (d) -3 a Which is the nearest to -2? (a) 0.07 (b) 0.2 (c) 0.4 (d) 0.39 a What is the closest to 58/3 in -61, -17/2, -2/7? -2/7 What is the closest to 2/41 in -4, -7/2, 1/2, -0.4, -6/5? -0.4 Which is the nearest to -2? (a) -140/3 (b) -5 (c) 0 (d) 1/2 (e) -2 e Which is the nearest to 6? (a) 0.75 (b) 18 (c) 0.03 (d) 0 (e) -0.5 a Which is the closest to 0.2? (a) -2.12 (b) 2 (c) -1/4 c What is the nearest to -13 in 37, 0.5, -2, 3, 5? -2 What is the closest to 1116 in 0.3, 4, -0.0246? 4 What is the closest to -1/3 in 1016/7, 574, -4? -4 What is the closest to -9.8 in 5, 2/5, -656, 0.3? 0.3 Which is the nearest to -1? (a) 109328 (b) -0.3 (c) -5 (d) -0.4 d What is the closest to 4/31 in 1/6, -3/7, 1.1, -2? 1/6 Which is the closest to -1? (a) -14 (b) -1 (c) -4 (d) 10 (e) -6 b What is the closest to 119 in -6, -43, 3? 3 Which is the nearest to 3/68? (a) -4 (b) 8 (c) -0.2 (d) 2/15 d What is the nearest to 3 in -0.3, 8, 50? -0.3 What is the closest to
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from {o: 3, b: 1, x: 5, j: 1}? 1/336 Four letters picked without replacement from cqwggqgqgwggggqqgwgg. What is prob of sequence qqgw? 11/1938 Two letters picked without replacement from yyyyyywy. What is prob of sequence yw? 1/8 What is prob of sequence ko when two letters picked without replacement from koookokkkdokkdokdo? 28/153 Calculate prob of sequence ve when two letters picked without replacement from {e: 4, v: 1, b: 1, i: 2, h: 2}. 2/45 Calculate prob of sequence lzla when four letters picked without replacement from lazzlllzaallllaalzl. 25/1292 Two letters picked without replacement from ibbcxxsll. What is prob of sequence lc? 1/36 What is prob of sequence bkk when three letters picked without replacement from {b: 6, k: 11, e: 2}? 110/969 What is prob of sequence xgsv when four letters picked without replacement from xscgv? 1/120 Two letters picked without replacement from {j: 1, x: 2, s: 4, i: 1}. Give prob of sequence js. 1/14 Three letters picked without replacement from ttdtddtddttdt. What is prob of sequence dtt? 21/143 Two letters picked without replacement from {f: 1, s: 2, d: 1}. Give prob of sequence fs. 1/6 Calculate prob of sequence pz when two letters picked without replacement from {p: 5, z: 2, o: 2}. 5/36 Four letters picked without replacement from {j: 7, r: 1}. What is prob of sequence jrjr? 0 What is prob of sequence qqdd when four letters picked without replacement from {q: 4, n: 4, d: 3}? 1/110 What is prob of sequence ahbh when four letters picked without replacement from {b: 1, a: 1, h: 7}? 1/72 Four letters picked without replacement from slcssscsssssscsslsss. Give prob of sequence lslc. 1/1292 Two letters picked without replacement from tsststsssgtnsnnsg. What is prob of sequence ns? 3/34 Two letters picked without replacement from {q: 1, j: 1, f: 1}. Give prob of sequence qq. 0 Calculate prob of sequence ox when two letters picked without replacement from oxxwxxxxxywxx. 3/52 Four letters picked without replacement from wuffcwcwwwfwfwwf. What is prob of sequence cufc? 1/4368 What is prob of sequence wip when three letters picked without replacement from {i: 4, w: 2, p: 2}? 1/21 Two letters picked without replacement from {c: 3, g: 5, o: 1, v: 1, f: 2}. What is prob of sequence fg? 5/66 Three letters picked without replacement from wwwxwwwxxx. Give prob of sequence xxx. 1/30 What is prob of sequence vvss when four letters picked without replacement from uhurhugsvuvhguhgssug? 1/9690 Calculate prob of sequence xx when two letters picked without replacement from {f: 1, z: 3, j: 3, b: 1, l: 2, x: 2}. 1/66 What is prob of sequence qg when two letters picked without replacement from ukuuzguggguuuqkgug? 1/51 Calculate prob of sequence ep when two letters picked without replacement from {e: 4, p: 4, m: 8}. 1/15 Calculate prob of sequence poeo when four letters picked without replacement from pooeo. 1/20 What is prob of sequence rmrm when four letters picked without replacement from rmrmmmm? 1/21 What is prob of sequence jnr when three letters picked without replacement from {j: 4, n: 4, r: 12}? 8/285 Four letters picked without replacement from {i: 6, u: 1, s: 3, c: 9}. What is prob of sequence usii? 5/5168 Calculate prob of sequence bere when four letters picked without replacement from {a: 4, t: 3, r: 5, e: 6, l: 1, b: 1}. 5/3876 Two letters picked without replacement from {c: 1, z: 1, w: 1, g: 2, l: 2}. What is prob of sequence gg? 1/21 Calculate prob of sequence szz when three letters picked without replacement from sszwzfezz. 1/21 Four letters picked without replacement from {h: 2, r: 9, i: 7}. Give prob of sequence hihi. 7/6120 Two letters picked without replacement from {r: 9, m: 3}. Give prob of sequence rr. 6/11 Calculate prob of sequence hhh when three letters picked without replacement from hhh. 1 Calculate prob of sequence gr when two letters picked without replacement from riigvmgggvviiiggdmm. 1/57 Three letters picked without replacement from hhhhrsrssrss. Give prob of sequence hhr. 3/110 What is prob of sequence oood when four letters picked without replacement from dddddooooddoo? 7/143 Calculate prob of sequence lll when three letters picked without replacement from {l: 4, m: 2, i: 2, v: 3, n: 6}. 1/170 Four letters picked without replacement from cvncvncvc. Give prob of sequence vcnn. 1/126 What is prob of sequence ydx when three letters picked without replacement from {u: 1, y: 1, d: 2, x: 2}? 1/30 What is prob of sequence bo when two letters picked without replacement from ybyynrrrbyynrnonnr? 1/153 Three letters picked without replacement from nnnuntttnnntntt. Give prob of sequence ntn. 8/65 What is prob of sequence ak when two letters picked without replacement from {a: 6, k: 1, y: 3, u: 6, r: 2}? 1/51 What is prob of sequence xr when two letters picked without replacement from {q: 1, r: 4, x: 9, w: 2}? 3/20 Four letters picked without replacement from nnuukgnnunkan. Give prob of sequence nnun. 3/143 Calculate prob of sequence gk when two letters picked without replacement from {c: 3, g: 8, k: 3, t: 2}. 1/10 Two letters picked without replacement from ooofiito. What is prob of sequence ii? 1/28 Calculate prob of sequence hnv when three letters picked without replacement from {n: 4, h: 1, v: 6}. 4/165 Calculate prob of sequence yy when two letters picked without replacement from yyyyhhyh. 5/14 What is prob of sequence uuhh when four letters picked without replacement from {u: 7, h: 6}? 21/286 Calculate prob of sequence ri when two letters picked without replacement from {j: 4, r: 4, i: 2, a: 1, c: 6}. 1/34 Three letters picked without replacement from auauurauuarruuaauua. Give prob of sequence uru. 12/323 Two letters picked without replacement from {d: 7, i: 4, n: 1, q: 2, h: 1}. What is prob of sequence nq? 1/105 What is prob of sequence dyd when three letters picked without replacement from ddydydyddddddyddyyd? 52/323 Calculate prob of sequence bb when two letters picked without replacement from {a: 3, b: 7, w: 5, v: 1}. 7/40 What is prob of sequence grgr when four letters picked without replacement from yyrrygyygyyyy? 1/4290 What is prob of sequence bh when two letters picked without replacement from hrtrpbzz? 1/56 What is prob of sequence bslb when four letters picked without replacement from lllllllbbsbqsqlllls? 11/5168 Three letters picked without replacement from {g: 3, r: 1, p: 1, m: 2}. Give prob of sequence grp. 1/70 Four letters picked without replacement from uuhhuhuhvuuhuuvhu. What is prob of sequence hhuv? 9/952 Calculate prob of sequence nzzn when four letters picked without replacement from {z: 11, n: 9}. 22/323 Two letters picked without replacement from hmhbhnhbm. What is prob of sequence mm? 1/36 Three letters picked without replacement from {f: 5, d: 1, b: 1, x: 1, u: 2, q: 3}. What is prob of sequence uux? 1/858 Two letters picked without replacement from vvzzyvyvv. What is prob of sequence vz? 5/36 Two letters picked without replacement from ssdosdddsssddd. What is prob of sequence so? 3/91 Four letters picked without replacement from {s: 5, c: 1, w: 3, n: 2, j: 1, z: 1}. Give prob of sequence nsnw. 1/572 Two letters picked without replacement from {b: 1, f: 1, o: 1, a: 1, t: 1}. Give prob of sequence bf. 1/20 What is prob of sequence rrrr when four letters picked without replacement from rrrr? 1 Four letters picked without replacement from jjjmjjgjjg. What is prob of sequence jgjg? 1/60 Calculate prob of sequence gac when three letters picked without replacement from eeeaekeeegacge. 1/546 Two letters picked without replacement from {i: 7, l: 9}. What is prob of sequence ll? 3/10 Four letters picked without replacement from {z: 4, r: 2, b: 2, q: 2, p: 1, v: 3}. What is prob of sequence rpvq? 1/2002 Two letters picked without replacement from bfcbbccwclgblcc. What is prob of sequence cc? 1/7 Three letters picked without replacement from yiyyifhyfifiriryhi. Give prob of sequence rfh. 1/408 Calculate prob of sequence umu when three letters picked without replacement from {r: 12, m: 1, q: 1, u: 2, t: 3}. 1/2907 Calculate prob of sequence znz when three letters picked without replacement from zzzzzzzzzzzzzzn. 1/15 Three letters picked with
{ "pile_set_name": "DM Mathematics" }
is the nearest to 8 in u, -0.3, -5? u Let g = 28/57 - 3/19. Let w = 965 + -769.5. Let o = -196 + w. What is the nearest to 8/5 in g, o, -5? g Let c = 33 - 37. Let p be (-33)/(-66) - 26/c. Suppose -3*m - h - p = 0, -4*m - 9*h = -7*h + 12. What is the nearest to m in 1/3, 0.5, -17? 1/3 Let c = -0.8 + 5.8. Let t be (-4)/10 - (-3)/(-5). Let z = 0.02206 - 5.02206. What is the nearest to z in c, 3/5, t? t Suppose -99*n - 137 - 125 = 134. What is the closest to -25 in 0.5, n, -1? n Suppose 0 = 22*w + 8*w - 60. Which is the closest to 0.05? (a) 5 (b) -0.1 (c) w b Let j = -2716.1 + 2716. Which is the closest to j? (a) 3/11 (b) 13 (c) -0.1 c Let v = -270 + 270.1146. Let h = v - 0.0146. Which is the nearest to 2/117? (a) 0.3 (b) -0.1 (c) h c Let a = 9686 + -9698. Let w be (-3)/(-9) - 10/3. What is the nearest to -1/5 in 2/5, a, w? 2/5 Let q be 413851/2452471 + (-6)/34. What is the closest to -2 in q, 5, -4, 2? q Let v = -4.89389 + -0.10611. Which is the closest to v? (a) 1 (b) -2/7 (c) -1/5 (d) -0.6 d Let s = 3.37 - 3.38. What is the closest to 1 in -1/3, s, 3, 0? 0 Let g = 2.9704 + -2.9304. What is the closest to g in 3/5, 0.01, 4, 10? 0.01 Let o = -16 + 20.5. Let x = o + -4. Let l = 0.05367 - -0.04633. What is the nearest to l in x, -4, -0.8? x Suppose -p = -0*p. Suppose f = 3*f + 3*v + 20, p = 5*f + 2*v + 28. Let x = 2271 + -11354/5. Which is the closest to x? (a) 1 (b) -0.2 (c) f b Let n be (10/(-42))/((-2145)/7722). Let o = -2/25 + -8/25. What is the closest to 0.1 in o, -1/4, n? -1/4 Let o = -213 + 252. Suppose -24 + o = -3*y. Which is the closest to -0.2? (a) -1/4 (b) y (c) -2 a Suppose 33*m - 32*m = -t + 3*t, 2*m = 4. Which is the nearest to t? (a) 0.2 (b) -3/2 (c) -5/137 (d) -2/19 a Let v = 2191 - 2188. Suppose 5*n = -14 + 4. Which is the closest to -6? (a) 0.1 (b) v (c) n c Let k = 44 - 43.9. Let m = -7.42 - 0.58. Let o = m - -2. What is the closest to k in -0.3, 0.2, o? 0.2 Let k = -45915 - -45546.07. Let j = -369 - k. Which is the nearest to -3/7? (a) 2/15 (b) 5 (c) j c Let l = 0.208 - 0.408. Which is the closest to l? (a) -3.8 (b) 4 (c) 3 c Let n = -6.118 + 6.82. Let x = 0.298 + n. Which is the nearest to 10? (a) x (b) 3 (c) -4 b Let z = 4 - 9. Let w be 4/4 + (-1596)/(-10). Let d = w - 160. What is the closest to -0.3 in -0.1, z, d? -0.1 Let j be 2/(-7)*(-33)/264*-56. What is the closest to 2/13 in -0.5, 1, 2, j? -0.5 Let m be (-1)/(-3 - -1)*2. Let l = 95.93 - 96. Let q = -3.07 - l. What is the closest to -4 in m, -2, q? q Let i be ((-8)/12)/((-2)/(-3)). Let r = -3.3 + 3.1. Let q = r - 0.1. Which is the nearest to 2? (a) i (b) q (c) -1/10 c Suppose 7*m = 23 - 9. Let w = 242.03 - 241. Let g = w + -0.63. What is the closest to 4 in 2/9, m, g? m Let r be ((-2)/36)/(-20*54/1620). Let s = -7 - -7.3. Let p = -68 + 750/11. Which is the nearest to r? (a) -4/7 (b) p (c) s b Suppose 0*f + 33 = -11*f. Let o = 69.088 + -0.088. Let j = o + -69.1. Which is the nearest to -2/3? (a) f (b) j (c) 2/7 b Let z = -1/26 - 113/442. Let l = z + 76/85. Which is the closest to 1/4? (a) -0.2 (b) l (c) 3/2 b Let q = -0.044 - 0.256. Let f = -0.382 + 0.782. Which is the nearest to 2/15? (a) -4 (b) f (c) q b Let o be (-65)/52*(5 - 1) - (-16)/2. Which is the nearest to -6? (a) 0 (b) 0.18 (c) o a Suppose -2*n = -4*t - 4*n + 16, -20 = -5*t + n. Let z be 33/66*(21 - 2/(-2)). Suppose -z*q + 7*q = -6*q. Which is the closest to q? (a) -1 (b) t (c) 0 c Suppose 0 = -2*w - 2*w - 4. Let y = -0.1327 + 0.0627. What is the nearest to -2 in -2/9, y, w? w Let x = 5.6 + -6. Let k = 94.79 - 94.69. What is the closest to k in -1, 2/73, x? 2/73 Let z = -8.564 + 8.164. Which is the nearest to 2/15? (a) z (b) 0.1 (c) 0.17 b Let w = 563233543/777 + -724882. Let o = w - 1/111. Let l = -128/735 - -2/49. Which is the nearest to 1? (a) o (b) l (c) -2 a Let f = -1030 - -1028. Let r = 40 - 40.4. Which is the nearest to f? (a) 2/7 (b) 7 (c) 1 (d) r d Suppose 2*g + 5*f - 17 = 0, -3*f + 83 = 3*g + 71. What is the closest to -6 in g, -0.4, -5/4, -6/11? -5/4 Suppose -5*y = -4*d + 5, -y + 23 = -2*d + 6*d. Let s(u) = 6*u**3 + 2*u**2 + 2*u + 1. Let w be s(-1). Let h = 30.6 + -29.6. What is the nearest to y in h, w, -2? h Let h be ((-6)/(-4))/((-1018)/(-2036)). Let w(q) = q**3 + 7*q**2 + 7*q + 8. Let l be w(-6). Which is the nearest to -1/3? (a) -7 (b) l (c) h b Let q = 247 - 249.05. Let l = 1.85 + q. What is the closest to l in -17/2, 1, -0.3? -0.3 Let g = 27 - 25. Let s be (-145)/(-345) + g/(-6). Let p = -122 - -117. What is the closest to -2 in s, p, 3/5? s Let k = -0.44 - -0.74. What is the closest to -1 in -2/9, k, 1, -6? -2/9 Let x = -16833 - -16832.8. What is the closest to 0.2 in 0.08, -7, 0.4, x? 0.08 Let x = 23429.6 - 23430. What is the nearest to -0.1 in x, 0, 3.3, -2? 0 Let u = 1.519 + -0.019. Let l = u + -1.2. Let d = -24 - -19. Which is the closest to 1/3? (a) -2/15 (b) l (c) d b Let h = -19.77 - -19.97. What is the closest to -1/6 in 5, -0.3, h, 5/12? -0.3 Let z = 189.62 - 268.62. Which is the closest to 1? (a) z (b) 4 (c) -0.3 (d) 1 d Let j(p) = p**3 + 16*p**2 + 18*p + 47. Let x be j(-15). What is the nearest to -18 in -2, x, -3? -3 Let t = -16.27 + 17.27. Suppose -3*n + 12 = -3*z, 0*n + 19 = -4*n - 3*z. Let b = 5 + -10. What is the nearest to 1/2 in n, t, b? t Let w = -32 + 159/5. Suppose 5*k = 5*l + 15, -k + 8 = 4*l - 0*k. Let h = -17231 + 17230. Which is the nearest to l? (a) -0.1 (b) h (c) w a Let w be (8 - 9) + 117/119. Let v = w + -232/357. Let n = 619 - 620. Which is the closest to -1? (a) v (b) n (c) 10/9 b Let k = 10.9 + -11. Suppose -2 = 5*p - 3*r, 4*p + 5*r - 16 - 12 = 0. Suppose -1 - 7 = -p*x, -4*c = 2*x - 36. What is the nearest to k in c, 4, -5? 4 Let s = 44.005 + -0.405. Let d = -48.4 - s. Which is the closest to -1? (a) 4 (b) d (c) -1 c Let g be (10140/(-844))/(-3) + 4/(15/(-15)). What is the nearest to -4 in -2/13, g, 3/7? -2/13 Let j(q) = -22*q**2 + 14*q + 7. Let s be j(-3). Let t = 234 + s. Which is the nearest to -6? (a) -4 (b) 1/5 (c) t a Let j = -2 + 2.4. Let u = -0.1 - j. Let w = -610 - -11592/19. Which is the nearest to 2? (a) w (b) u (c) -2 a Let p = -0.2 + -1.8. Let v be 11/10 - 6/560*28. What is the closest to 0 in v, 1, p? v Let f be 56/(-9) + (2052/(-798))/((-3)/7). Which is the closest to 1? (a) -7 (b) f (c) 1 (d) -0.3 c Let j = -140.7 - -149. Let n = j - 4.3. Let i = 24 + -19. Which is the closest to -2? (a) n (b) i (c) 3 c Let z = -0.14 + 1.04. Let f be (4/(-3))/((-16)/(-9)). Which is the nearest to z? (a) f (b) 3/2 (c) -4/7 b Let q(u) = -3*u**2 - 2*u - 3. Let g be q(-1). Let j be 4 - 39/(-104)*-8. Which is the nearest to -1? (a) -2/41 (b) j (c) g a Let y be 28/(-8) - (-6)/4. Suppose -14 + 2 = -4*p. Which is the nearest to y? (a) -2 (b) p (c) -0.3 a Suppose -290 + 434 = 9*f. Let o be f + -7 - (-56)/(-6). What is the closest to o in 2/15, -0.14, 3, 5? -0.14 Let m = -11.128 - -6.128. What is the closest to -3/5 in -75, m, 4? m Let p be 32/(-6) + ((-92)/12 - -7). Let y be ((-4)/10)/(-5 - (-84)/20). Which is the closest to 0.1? (a) y (b) 5 (c) 3 (d) p a Let i = 228 - 226. Let v = 0 - -3. Let m be v/9 - (-1 - -1). What is the nearest to 0 in -0.1, m, i? -0.1 Let n(q) = -3*q**3 - 43*q**2 - 14*q - 1. Let v be n(-14). Let w = 122/99 + -16/11. Suppose -5*j = -2*j - 15. Which is the nearest to v? (a) j (b) w (c) -4 b Let z be 31/(-1)*(-2 - -1). Let y = -0.36917 + -0.03083. Which is the nearest to 0? (a) -3 (b) y (c) z b Let v = -26.798 - -25.6. Let m = v - -0.198. Let g = 11.1 + -11. Which is the nearest to g? (a) 3 (b) 0.5 (c) m b Let v = -282 - -5355/19. Let m = 25/38 + v. Let y be 4/16 - (-45)/(-84). Which is the closest to y? (a) m (b) 4 (c) -0.3 c Let v(h) = -3*h + 29. Let f be v(8). Suppose -4*j + 21 = -4*i + 9*i, -f*i + 17 = 3*j. What is the nearest to 2 in -3, 1/2, -12, i? i Let p = 0.2 + -1.2. Suppose -97 = 55*k + 13. What is the closest to -0.2 in -0.2, p, k? -0.2 Let z = -72.617 - 0.383. Let l = z - -72.9. What is the nearest to 2 in -3, l, 4? 4 Suppose 3*q - 121 + 133 = 4*p, -5*p = -3*q - 12. Which is the closest to p? (a) 3/743 (b) -4 (c) 0 c Let t = 0.2 - 0.3. Let s = 334.18 + -4.18. Let k = -329.83 + s. Which is the closest to t
{ "pile_set_name": "DM Mathematics" }