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without replacement from {x: 4, e: 3, b: 2, q: 2}. Give prob of picking 1 x and 3 e. 2/165 Two letters picked without replacement from {s: 3, g: 1, j: 1}. Give prob of picking 1 j and 1 s. 3/10 Three letters picked without replacement from {m: 4, p: 3}. What is prob of picking 3 m? 4/35 Calculate prob of picking 2 g and 1 p when three letters picked without replacement from ggppgppgpggpggppgp. 27/68 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 7, e: 6, q: 2}. 2/15 Two letters picked without replacement from {j: 1, s: 2}. Give prob of picking 2 s. 1/3 What is prob of picking 1 b and 1 l when two letters picked without replacement from lcxcblbxb? 1/6 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {o: 1, n: 1, q: 1, b: 3, l: 1}. 1/7 What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 5, k: 2, r: 3}? 1/3 Two letters picked without replacement from {c: 2, h: 1, v: 2}. What is prob of picking 1 h and 1 v? 1/5 Four letters picked without replacement from dedxxedoxxdteetexdx. Give prob of picking 2 e and 2 x. 25/646 What is prob of picking 1 m and 2 a when three letters picked without replacement from ajvmpjwmaaja? 3/55 Calculate prob of picking 2 a, 1 w, and 1 o when four letters picked without replacement from owwaaoqwqwqaowqwq. 27/1190 What is prob of picking 1 d and 3 k when four letters picked without replacement from kbgdbkkk? 2/35 Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {a: 4, l: 14}. 7/68 Four letters picked without replacement from dbbddbbbbfbddhfbbd. What is prob of picking 1 h and 3 d? 1/153 Three letters picked without replacement from wwcwwcwwcccccwwwwww. What is prob of picking 3 c? 35/969 Calculate prob of picking 1 w, 2 f, and 1 e when four letters picked without replacement from {w: 1, a: 1, e: 2, f: 2, b: 2, p: 4}. 2/495 Calculate prob of picking 1 n, 1 d, and 2 f when four letters picked without replacement from ldnfrrf. 1/35 Four letters picked without replacement from uuuvvv. What is prob of picking 2 u and 2 v? 3/5 Two letters picked without replacement from {a: 2, b: 3, k: 4, z: 7, q: 2}. Give prob of picking 2 k. 2/51 Calculate prob of picking 3 w and 1 u when four letters picked without replacement from {w: 14, u: 1}. 4/15 What is prob of picking 2 a when two letters picked without replacement from ataaaaaaaat? 36/55 Calculate prob of picking 2 z and 2 j when four letters picked without replacement from zoddjjjjdjzje. 3/143 Four letters picked without replacement from {m: 1, t: 7, e: 2, v: 1, l: 2, g: 1}. What is prob of picking 1 t, 2 e, and 1 g? 1/143 Four letters picked without replacement from {l: 1, p: 2, m: 1, h: 3, z: 3}. What is prob of picking 3 h and 1 m? 1/210 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {x: 5, o: 2}. 10/21 What is prob of picking 1 k and 2 x when three letters picked without replacement from {x: 2, v: 1, k: 1}? 1/4 Two letters picked without replacement from pyppjjypypppjjjypjp. What is prob of picking 2 y? 2/57 Two letters picked without replacement from xcmxfmm. Give prob of picking 1 f and 1 m. 1/7 Two letters picked without replacement from iuiuu. Give prob of picking 2 i. 1/10 Calculate prob of picking 2 j when two letters picked without replacement from {s: 14, j: 5}. 10/171 What is prob of picking 1 j and 1 x when two letters picked without replacement from {t: 2, e: 1, j: 2, x: 1}? 2/15 Calculate prob of picking 1 k, 1 a, and 1 w when three letters picked without replacement from {k: 6, w: 4, a: 2}. 12/55 Calculate prob of picking 3 d and 1 c when four letters picked without replacement from ddcdccd. 12/35 What is prob of picking 1 s and 2 z when three letters picked without replacement from smddllsmmslsdmsdzmz? 5/969 Three letters picked without replacement from hhhhh. What is prob of picking 3 h? 1 Two letters picked without replacement from mqmmqpmqmimpmmmmqmm. Give prob of picking 1 p and 1 m. 8/57 What is prob of picking 1 v and 2 o when three letters picked without replacement from vvoovv? 1/5 Two letters picked without replacement from iieqqrgqqieiigqrie. What is prob of picking 1 e and 1 g? 2/51 Two letters picked without replacement from {z: 2, m: 9}. What is prob of picking 2 z? 1/55 What is prob of picking 2 q when two letters picked without replacement from {r: 5, q: 4, z: 1}? 2/15 Calculate prob of picking 3 l and 1 j when four letters picked without replacement from {l: 4, d: 5, j: 6}. 8/455 Calculate prob of picking 3 t and 1 r when four letters picked without replacement from {t: 3, r: 1, c: 3}. 1/35 Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {p: 6, c: 1, j: 2, z: 2, f: 1}. 0 Two letters picked without replacement from ujzvuzt. Give prob of picking 1 v and 1 z. 2/21 Calculate prob of picking 1 u, 2 d, and 1 c when four letters picked without replacement from cdccdcdcccudccdcddcd. 308/4845 Three letters picked without replacement from bbcwbwbbwbbwwwwwwbb. What is prob of picking 1 c, 1 w, and 1 b? 27/323 Calculate prob of picking 2 v when two letters picked without replacement from {v: 11, d: 1, r: 5}. 55/136 What is prob of picking 1 q and 1 f when two letters picked without replacement from {f: 4, v: 10, q: 2}? 1/15 What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 2, g: 3, m: 1, j: 1, y: 3}? 2/15 Three letters picked without replacement from jwvjijvwjjvjvmmjwjm. What is prob of picking 1 i and 2 j? 28/969 Three letters picked without replacement from {u: 3, z: 3}. What is prob of picking 1 u and 2 z? 9/20 Four letters picked without replacement from xxxxxxxxxxxxxxt. What is prob of picking 4 x? 11/15 Four letters picked without replacement from fniafifiicfaaya. Give prob of picking 1 c, 1 i, and 2 f. 8/455 What is prob of picking 2 r and 1 o when three letters picked without replacement from {o: 1, j: 1, f: 2, r: 4, i: 3}? 2/55 What is prob of picking 1 o, 1 r, and 1 q when three letters picked without replacement from {r: 2, o: 1, q: 2}? 2/5 Four letters picked without replacement from bruhuhhbbbu. What is prob of picking 1 u and 3 r? 0 Three letters picked without replacement from {y: 2, t: 1, q: 9, c: 2}. What is prob of picking 2 c and 1 t? 1/364 Calculate prob of picking 3 b when three letters picked without replacement from rbbbrbrirr. 1/30 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from mdaozbo. 1/21 What is prob of picking 2 f and 2 r when four letters picked without replacement from {j: 3, f: 2, q: 2, r: 4}? 1/55 What is prob of picking 1 q, 1 j, and 1 x when three letters picked without replacement from xxxxxixxxwwqwjwjx? 9/340 What is prob of picking 1 g, 2 i, and 1 q when four letters picked without replacement from iqiqgnqnpq? 2/105 What is prob of picking 1 i and 2 c when three letters picked without replacement from sssssoitctctos? 1/364 Three letters picked without replacement from iiiiiiiiriiririrrdd. What is prob of picking 3 i? 220/969 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {k: 6, s: 9, x: 2}. 9/68 Four letters picked without replacement from gueejpuguejeuggpjeu. What is prob of picking 4 u? 5/3876 Two letters picked without replacement from {q: 2, l: 1, j: 1, o: 1, r: 2}. What is prob of picking 2 r? 1/21 What is prob of picking 1 p and 1 l when two letters picked without replacement from {p: 6, l: 6}? 6/11 What is prob of picking 1 d, 1 b, and 1 u when three letters picked without replacement from zbutd? 1/10 Calculate prob of picking 1 j and 3 m when four letters picked without replacement from {o: 1, v: 1, m: 1, j: 2, w: 2, t: 2}. 0 Four letters picked without replacement from {v: 8, r: 4, z: 5}. Give prob of picking 4 v. 1/34 What is prob of picking 3 d and 1 g when four letters picked without replacement from dffggdfdddddggbdgd? 7/51 Two letters picked without replacement from wswwjwwztj. What is prob of picking 2 w? 2/9 Four letters picked without replacement from {t: 1, i: 1, w: 2, f: 1}. Give prob of picking 1 w and 3 t. 0 What is prob of picking 1 x, 1 d, and 2
{ "pile_set_name": "DM Mathematics" }
Rearrange -v**2 + 30*v - 11 + 18*v + 12*v**2 - 49*v to d*v + p*v**2 + k and give k. -11 Rearrange -1913*q**2 - 1973*q**2 + 3910*q**2 + 45*q to u*q + x + w*q**2 and give u. 45 Rearrange 219300*x - 539*x**2 - 438597*x + 22 + 219298*x to the form o*x**2 + g + i*x and give i. 1 Express 8*o**3 - 628*o + 4 + 8*o**2 - 638*o + 1267*o - 3*o**3 in the form j*o**2 + t + k*o**3 + h*o and give k. 5 Rearrange (543*y + 520*y - 303*y)*(-3*y - 2*y - 7*y + (-1 + 1 - 1)*(5*y - 4*y - 3*y)) to the form h + f*y + n*y**2 and give n. -7600 Rearrange 5 - 19 + 18*y + 11 + (-14 - 5 + 14)*(5*y - 2*y - 2*y) to the form c + s*y and give c. -3 Express 2 - 1153*j**3 + 1029*j**3 - j**4 + 0*j**4 in the form x + l*j**3 + q*j**2 + f*j + p*j**4 and give x. 2 Express (15*q + 10*q - 4*q)*(11*q**2 - 2*q - q**2 - 17*q**2) as z*q**2 + c*q**3 + i + f*q and give c. -147 Rearrange 46 - 36 + 3029*s - 10 to the form v*s + z and give z. 0 Express (-3 + 3 - 2)*(47 - 2 - 6)*(2*h + 2 - 3 - 1) as t + p*h and give t. 156 Express -1 + k + 3*k**3 + 4*k**2 - 10*k**3 + 5*k**3 + 2*k**4 + 3 as v + y*k + a*k**3 + h*k**4 + o*k**2 and give a. -2 Express -3 + 299*a - 3*a**3 - 10*a**2 + 10*a**2 + 4 + 4 as k*a + r*a**3 + i*a**2 + h and give h. 5 Express (0 + 1 - 3)*(-u - u - 14*u)*(129*u + 501 - 501) in the form z*u + c*u**2 + g and give c. 4128 Express -2*n**2 + 11*n + 78*n**4 - 150*n**4 + 1 + 17*n + 75*n**4 as i*n**2 + v*n**4 + g + l*n**3 + p*n and give v. 3 Rearrange 903 - 30*y - 48*y - 33*y + 141*y - 29*y to l*y + d and give d. 903 Express -67*y**2 - 82*y**2 - 56 - 25 + 85 as q*y + p + f*y**2 and give q. 0 Express 2*h**2 - 68301 - h**4 + h**3 - 11*h**2 - 68302 + 136605 + 11*h as u*h**2 + l + j*h + c*h**4 + v*h**3 and give c. -1 Express (-5*g - 2*g + 2*g)*(-2*g + g - 2*g) - 6*g - g - 33*g**2 + 4*g + 2 in the form h + s*g + t*g**2 and give t. -18 Express -21*x**3 - x**2 + 5*x**3 + 5*x**3 + 394*x + 12*x**3 + 5 as j*x**3 + z*x**2 + l + s*x and give l. 5 Rearrange -2301*g - 1947*g + 1089*g - 2713*g to d + m*g and give m. -5872 Rearrange -3093*d**3 - 15*d + 3095*d**3 + 15*d - 2851 to the form n*d**2 + h*d**3 + f*d + j and give h. 2 Express -1 - 1 - 3*x**2 - 204*x**4 + 130*x**3 + 16*x + 203*x**4 - 131*x**3 in the form l*x + w*x**3 + q*x**2 + r*x**4 + u and give r. -1 Rearrange 989*b**2 + 993*b**2 - 2*b + 81 - 1973*b**2 - 847 + 0*b to y*b**2 + x*b + p and give x. -2 Rearrange (4*y**3 + y**3 + 6*y**3)*(-2*y + 3*y - 2*y + (0 + 3 - 2)*(-7 + 7 - 10*y) - 4*y - y + 2*y) to the form w*y + a*y**3 + i*y**2 + t + r*y**4 and give r. -154 Rearrange (2*m - 12*m - m)*(-2527 + 69*m**3 + 2527 + (-3*m + 5*m - 3*m)*(0*m**2 + m**2 + 0*m**2)) to u*m**3 + q*m**2 + l*m + r + i*m**4 and give l. 0 Rearrange (-3043*h - 2603*h - 3470*h)*(3*h - 2*h + 3*h) to the form n*h**2 + d*h + w and give n. -36464 Express 6*s**4 + 4*s**4 + 7*s**4 + (0*s - 7*s**2 + 0*s)*(-30*s**2 + 0*s**2 - 8*s**2 + 2*s) in the form f*s**3 + g*s + u*s**4 + m*s**2 + v and give g. 0 Express -287608*d**2 - 2*d**4 + 287607*d**2 - 8 - 6*d**3 - d - 11*d**3 in the form x*d + t*d**4 + k*d**2 + r + h*d**3 and give x. -1 Rearrange (0*n - 6*n + 4*n)*(-13 - 14 - 7)*(-3 + 1 + 7) to y + w*n and give w. 340 Express -1896 - 5155*t + 5010*t + 1917 + (-3 + 2 + 2)*(-t - 1 + 1) + 1 - 1 - 2*t + 0*t - 2*t + 0*t in the form z*t + w and give w. 21 Rearrange (-55*z**3 - 2*z - 14168*z**2 + 14168*z**2)*(16 - 16 + 10*z) to x*z**2 + q*z**3 + c*z**4 + a + t*z and give x. -20 Rearrange (6 - 4 - 4)*(-u**2 + u**2 + u**3 + (32*u**3 - 19*u**3 + 33*u**3)*(2 - 2 + 1)) to b*u**2 + l*u**3 + k*u + j and give l. -94 Express (4*m + 2*m + 0*m)*(3*m - 3*m - 2*m) + 1237*m**2 - 717*m**2 + 2384*m**2 as y*m**2 + q*m + p and give y. 2892 Express 511 - 265 - 6*k - 279 + 30*k as z*k + c and give z. 24 Express -8 + 8 - 13*q + (-9 + 7 + 13 + 23)*(8*q + 3*q + 12*q) as n + o*q and give o. 769 Rearrange (7 - 3*n + 5*n - 11)*(5*n - 2*n - 5*n) + (-9*n + 0 + 0)*(6*n + n - 4*n) to a*n**2 + l*n + j and give j. 0 Rearrange 13*m**3 - 14*m - 4*m**3 + 0*m**2 + 2*m**3 - 3*m**4 + 6*m**2 - 5*m**2 to the form u*m**2 + n*m**4 + o*m**3 + b + f*m and give o. 11 Express (-58*d - 2*d + 0*d)*(0 - 3*d + 0)*(5*d - 2*d - d + (4 - 4 - d)*(1 - 5 + 1)) in the form b*d**2 + j*d + x*d**3 + r and give x. 900 Rearrange 3733*c + 5033 - 1681 - 1678 - 1674 to q*c + d and give q. 3733 Express 586592*k**4 - 2*k - 586591*k**4 + 142 + 35 - 39 in the form n + l*k + d*k**4 + r*k**2 + f*k**3 and give n. 138 Rearrange -30*z**2 - 104*z**2 + 141*z**2 - 2*z + 153 to the form w*z**2 + q*z + p and give q. -2 Express 2*j**3 - 88*j**4 - 65*j + 47*j**4 + 44*j**4 - 68*j - j**3 + j**2 in the form k*j**2 + i*j + t + x*j**3 + v*j**4 and give i. -133 Express 8778*b**2 + 5784*b**2 + 5507*b**2 + 7827*b**2 in the form q*b + u + y*b**2 and give y. 27896 Express (-d + d**3 + d)*(-2*d + 0*d + 3*d)*(237 - 6977 - 5726) as w*d**4 + o*d + q + a*d**3 + b*d**2 and give a. 0 Express (2 + 1 - 1)*(189 - 209 + 432)*(1 - 2 - 2*d + d) in the form r*d + s and give r. -824 Rearrange (-2 + 18 - 3)*(-10 + 10 - 19*z)*(-6 - 5 + 6) to b*z + k and give b. 1235 Rearrange -4*d**4 - 1871327*d + 1 + 1871334*d + 21 to the form y*d**2 + l*d**3 + c*d**4 + z + g*d and give c. -4 Rearrange 16*z + 2*z**2 - 6*z**4 + 4 - 7*z**2 + 4*z**2 + z**3 + 4*z**4 to the form u*z**2 + s*z**3 + n*z**4 + k + x*z and give u. -1 Express 1719454*z + 3340*z**2 - 1719454*z as v + y*z + g*z**2 and give g. 3340 Rearrange (15 + 15 - 11 + (2 - 5 - 1)*(0 + 6 + 2) - 5 + 2 + 1)*(-5*f + 3*f - 2*f) + 5*f + 0*f - 2 - 3*f to g*f + u and give g. 62 Express -13054*o + 30361*o + 2 + 161*o**2 - 160*o**2 as b + l*o + g*o**2 and give b. 2 Rearrange (-3 + 3 - n)*(-6 + 2 + 26) + 7*n + 0*n + 4*n + 3 - 3 + 3*n to the form o*n + d and give d. 0 Rearrange 12443*u**2 + 1109*u**2 - 456*u**2 + 5497*u**2 + 6215*u**2 to the form a + z*u + v*u**2 and give v. 24808 Rearrange 33 - 70*k + 8 + 0 - 10 - 16 to the form g*k + s and give s. 15 Express -18*u + 55*u + 119*u as w*u + y and give w. 156 Express (14*h**2 - 2*h**3 - 14*h**2)*(-10*h + 5*h - 4*h)*(-24 + 157 + 51) as c*h + l + p*h**4 + t*h**2 + w*h**3 and give p. 3312 Express (-k + k - 2*k + (3*k + 0*k - 4*k)*(-1 - 1 + 1) - 4*k - 3*k + k + 0 + 0 - 2*k + 3*k + 2*k + 9*k)*(28 + 5*k - 28) as c*k + o + t*k**2 and give t. 25 Express -16*o**2 - 321*o**3 - 34*o**2 + 318*o**3 - 5 as n*o**2 + p*o**3 + q*o + a and give n. -50 Express (-94*f**2 - 7*f**3 + 94*f**2)*(-74*f + 176*f - 83*f) in the form p*f**3 + t + d*f + r*f**2 + j*f**4 and give j. -133 Express -y + y + 865*y**2 - 7721*y**2 - 5942*y**2 in the form c*y + h + j*y**2 and give j. -12798 Rearrange -3*s**2 - 42*s + 128*s - 46*s + 0*s**2 - 41*s + 7 to the form x + f*s + c*s**2 and give c. -3 Express (-5*c**3 - 7*c + 7*c)*(0 + 5 - 4)*(-25 + 11 + 13)*(6 + 0 - 4) in the form p + k*c + z*c**3 + l*c**2 and give z. 10 Express (0*o - 3*o + 2*o)*((11 + 8 - 6)*(4*o**2 - 5*o**2 + 3*o**2) - 17*o**2 + 5*o**2 - 4*o**2) as d*o**3 + t*o + y*o**2 + b and give d. -10 Express 1221*x - 1258*x - 1414*x + x + 0*x - 4*x + (-3 + 0 + 1)*(x + 2*x - 4*x) in the form g*x + r and give g. -1452 Rearrange (0*y + 5*y - 4*y)*(1 - 1 + 2*y)*(136*y**2 - 70*y**2 - 533*y**2) to k + d*y**4 + b*y + a*y**3 + f*y**2 and give d. -934 Rearrange 2840*l**2 - 486537 + 486537 to t*l + o + r*l**2 and give r. 2840 Express 276653 - 276654 + 10*w + 168*w**2 - 4*w in the form t*w + h + z*w**2 and give z. 168 Express (-b**3 + b**3 - 3*b**3)*(-1020*b + 1400*b + 1393*b) in the form r*b**2 + u + d*b + l*b**3 + n*b**4 and give n. -5319 Express 3*t**2 + 0*t**2 - t**2 + (-2*t + 4*t - 3*t)*(3*t - 4*t + 2*t) + 1944*t**2 + 56411001 - 56411001 in the form g*t + l*t**2 + h and give l. 1945 Rearrange 3*s**3 + 2*s**2 - 2*s**2 + (22*s + 7*s + 2*s)*(-4*s**2 - 49*s**2 - 207*s**2) to the form f*s + m*s**3 + g + a*s**2 and give m. -8057 Express -12*a - 1417 - 78*a**2 + 1415 + 26*a**2 in the form o*a + t*a**2 + y and give y. -2 Express -92534*m**3 + 185073*m**3 - 92541*m**3 - m**4 + 3*m**2 + 48 as u*m**3 + h*m**2 + v + c*m**4 + j*m and give u. -2 Express -3*q**2 + 417*q + 1096*q + 23*q in the form g*q**2 + c + b*q and give g. -3 Express -12*f - 11*f + 6 + 7*f**2 + 27*f + 3*f**2 - 9 as q*f + s*f**2 + a and give a. -3 Rearrange (4 - 3 - 2)*(2*j**2 + 134 + 162 - 316 - 106*j + 96*j) to the form l + x*j**2 + n*j and give n. 10 Express
{ "pile_set_name": "DM Mathematics" }
valuate (49/735)/(2/(-6)). -1/5 Calculate 2*35/14*-1. -5 Evaluate 2*(-6)/(-20)*(-40)/32. -3/4 Evaluate 8/108*6*(-15)/5. -4/3 What is the value of ((196/175)/14)/((-4)/(-10))? 1/5 Evaluate (-2)/(42/7)*-3*-2. -2 Calculate 3/9*-12*(-2)/22. 4/11 54/2*80/(-240) -9 Evaluate 2/(-5*(-10)/75). 3 What is ((-2)/(12/10))/(-2)? 5/6 Calculate (-10)/(-3)*(-53)/((-1855)/(-84)). -8 What is the value of 7/((-5)/(-9)*3*-3)? -7/5 Evaluate ((-2)/(-2))/(-12*8/64). -2/3 What is (-24)/27*(-6)/(-8)? -2/3 Evaluate 4/1*4/(-56). -2/7 (3/(-132))/((13/(-8))/13) 2/11 Evaluate 7/5*40/140. 2/5 What is -8*13/((-182)/(-7))? -4 ((-246)/(-287))/(12/(-21)) -3/2 Calculate (-4)/32*5*4. -5/2 Calculate 0/(-7)*(-2)/4. 0 Calculate ((-4)/8)/(((-6)/2)/24). 4 What is 5*1/2*2? 5 Calculate (3/24)/((-6)/(-12)). 1/4 What is the value of 1/(-10)*-5*0/2? 0 (15/20)/(-6*(-15)/40) 1/3 Evaluate 2/3*66/(-220). -1/5 What is the value of 24/22*(-2794)/508? -6 What is ((12/3)/(-2))/2? -1 What is the value of 6/4*184/(-138)? -2 What is the value of (-1)/((-4)/(60/5))? 3 Calculate 3*(-7)/((-882)/4)*6. 4/7 ((-4)/(24/(-9)))/6 1/4 Calculate (-9)/48*12/3. -3/4 What is the value of (4/10)/(68/850)? 5 (2/6)/(22/(-264)) -4 What is the value of ((-40)/150)/((-3)/((-60)/(-8)))? 2/3 Calculate 0/(-2)*(-3)/(-3)*1. 0 Calculate -5*(-9)/(-6)*(-8)/(-12). -5 Evaluate 1/(2*5/(-30)). -3 Calculate (-8*(-3)/(-462))/(6/21). -2/11 Calculate (10/(-14))/(-1)*(-18)/(-45). 2/7 Evaluate (-4*(-2)/(-70))/(18/21). -2/15 (-12)/16*(-4)/12 1/4 What is the value of 1*(10/(-15))/(4/6)? -1 Evaluate (1/((-198)/(-6)))/((-10)/30). -1/11 1/(-2)*56/(-28) 1 ((20/(-3))/4)/((-4)/12) 5 (10*8/60)/(2/6) 4 0*(18/3)/24 0 What is ((-10)/35)/((-8)/(-42))? -3/2 2/(-4)*1/((-34)/(-8)) -2/17 What is 72/162*18/4? 2 What is (-23)/(4140/(-54))*(-4)/2? -3/5 What is the value of ((-30)/(-75))/(7/(-5))? -2/7 What is 3/(-45)*30/(-35)*-10? -4/7 What is the value of (90/(-3))/(-3)*2/4? 5 Calculate (29/(-116))/(1/8). -2 What is the value of ((-2)/(-105)*-3)/((-117)/1170)? 4/7 Evaluate (2*2/8)/((-346)/(-6228)). 9 What is 27/144*8*8/(-42)? -2/7 8/(-20)*1/(-7)*5 2/7 What is the value of (470/329)/(2/7)? 5 What is the value of 3*(-3)/6*-2? 3 Evaluate (0/(6/3))/3. 0 (1/(-2))/(((-32)/(-16))/(-28)) 7 What is the value of 2/(-1)*4/(-80)? 1/10 What is (-24)/(-6)*1/(-1)? -4 What is (5/(-4))/((-100)/(-120))? -3/2 Calculate 9/(27/2)*1*-3. -2 Evaluate (5/15)/(1/(-6)). -2 Calculate (-4)/(-3)*(-1)/(-14). 2/21 5*5/100*4 1 Evaluate (243/(-36))/3*-4. 9 Calculate ((-1)/(-2))/(120/(-32)). -2/15 What is the value of ((-24)/20)/(54/(-90))? 2 (23/46)/(4/(-18)*3) -3/4 What is (10/(-9))/(46/(-207))? 5 Evaluate 6/8*19/(114/(-48)). -6 (1/(-2))/((-294)/(-56)) -2/21 What is the value of 1/((-6)/(-396)*11)? 6 Evaluate ((-175)/50)/(21/(-36)). 6 Evaluate ((-2)/6)/(6*4/72). -1 6/4*6*(-17)/(-612) 1/4 Evaluate (4/(-18))/((-32)/36). 1/4 What is the value of (12/(-16))/((-4)/(32/(-12)))? -1/2 (6/1)/(-2*(-1)/(-1)) -3 Evaluate 11/((-165)/(-20))*(-18)/(-12). 2 4*((-72)/120)/(6/(-25)) 10 What is the value of (10/(-180))/((-2)/(-6))? -1/6 ((-24)/((-3432)/13))/((-6)/(-22)) 1/3 What is the value of ((-6)/54*-9)/((-6)/2)? -1/3 What is 19/38*(-160)/8? -10 What is (6*18/12)/((-6)/6)? -9 Evaluate (9/6)/((4/8)/1). 3 What is the value of 24/(-16)*(-7)/((-420)/16)? -2/5 Calculate ((-4)/18)/(8/(-18)). 1/2 What is the value of (-256)/(-192)*3/(-2)? -2 What is the value of (27/45)/(3/15)? 3 ((-8)/(8/(-1)))/1 1 What is the value of ((-8)/84)/(10/30)? -2/7 Evaluate ((-3)/4)/(((-120)/64)/(-5)). -2 Calculate (-74)/(-111)*(-18)/4. -3 (9/(-15))/(6/30) -3 What is 38/(-57)*(-15)/2? 5 What is the value of 176/55*(-5)/(-2)? 8 Evaluate (((-15)/50)/(-3))/(12/(-45)). -3/8 Evaluate (7/(-245))/(2*2/(-20)). 1/7 (5/(-4))/(4/((-112)/(-7))) -5 1/((-6)/4)*(-255)/850 1/5 (-4)/(-8)*(-10*1)/(-5) 1 4/(-6)*(-21)/(-7) -2 (168/16)/7*24/4 9 Calculate (-2)/1*(-5)/(-50)*-5. 1 ((-8)/5)/((-18)/(-45)) -4 What is the value of (1/2)/((-69)/(-138))? 1 Calculate (6/(-21))/((-8)/(-14)). -1/2 What is 10/(-2)*87/145? -3 Calculate (7/(21/6))/7. 2/7 (2/(-5)*-1)/(70/70) 2/5 8/20*(-15)/24 -1/4 What is (204/(-18))/(-17)*3/8? 1/4 Calculate 1/((-5)/4)*(-110)/44. 2 What is the value of 2/(-4)*10/(-15)*-1? -1/3 What is ((-8)/(-960)*8)/((-2)/6)? -1/5 Calculate (-7)/(42/(-12))*2. 4 Evaluate 5/(-30)*2*(-3)/8. 1/8 Evaluate -2*(-16)/(-120)*(-5)/8. 1/6 Evaluate (36/126)/(16/14). 1/4 What is the value of 18/84*4*-7? -6 Calculate (4/(-2))/((-6)/24*2). 4 Calculate ((-117)/(-6))/13*1/(-3). -1/2 Calculate (-106)/(-795)*(-6)/4. -1/5 Calculate (3/32)/(6/8). 1/8 (6/(-3))/(-4)*-10 -5 Evaluate 4*(-6)/16*4. -6 28/(-280)*-2*1/1 1/5 What is the value of (16/10)/(6/(-15))? -4 -1*24/60*(-3)/(-6) -1/5 ((6/(-5))/3)/(663/(-195)) 2/17 Evaluate -4*6/(-48)*-2. -1 Calculate (72/30)/((-18)/(-75)). 10 Calculate 2/6*-2*(-24)/16. 1 What is (-6)/(-16)*1*2/3? 1/4 What is the value of 6*4*2/(-120)? -2/5 Calculate (4/(-8))/(2/2). -1/2 Evaluate 4/(-72)*2*204/(-17). 4/3 Calculate (-15)/(-585)*-6*1. -2/13 What is the value of (((-20)/(-5))/4)/(-3)*-3? 1 What is 10*(-4)/(-16)*120/(-350)? -6/7 Evaluate (-1)/((-2)/12*3). 2 ((-24)/(-42))/((-2)/(-7)) 2 Evaluate (1*24/3)/(6/1). 4/3 Calculate 592/(-888)*3/(-2)*1. 1 Evaluate -9*(-4)/(-8)*(-8)/(-12). -3 What is the value of ((-2)/4)/(2/(-20))? 5 Calculate (6/(-63))/2*3*6. -6/7 Calculate (2/2)/(4/(-16)). -4 What is (-2)/100*-5*1*-6? -3/5 Evaluate (-1)/1*-8*2/4. 4 Calculate ((0/(-1))/(-3))/1. 0 What is (12*7/441)/((-4)/(-2))? 2/21 775/93*(-1)/5 -5/3 What is (-110)/44*-2*(-2)/12? -5/6 What is (-7)/(((-3)/(-3))/(-1))? 7 What is the value of (1/(10/(-2)))/((-64)/(-160))? -1/2 (-9)/(-9)*2*1/(-4) -1/2 What is the value of 0/1*25/25? 0 (-1*3/6)/(2/4) -1 What is the value of ((-3)/(-6))/(18/(-27))? -3/4 Evaluate (-28)/210*12/4. -2/5 Calculate -15*((-18)/30)/((-3)/2). -6 (-5)/840*-12*(-14)/4 -1/4 Evaluate (-120)/(-200)*(-10)/36. -1/6 What is ((-3)/6)/(17/238)? -7 What is ((-4)/6)/(((-26)/(-6))/1)? -2/13 What is (5/75)/(2/(-10)*2)? -1/6 Evaluate ((-13)/(-26))/(5/(-70)). -7 Evaluate 2*((-3)/(-9))/((-2)/(-3)). 1 What is -1*1/(-1)*0/3? 0 What is ((-84)/(-70))/((-9)/(-6))? 4/5 (210/7)/((-45)/(-15)) 10 What is the value of ((-4)/(-2))/12*-1*-4? 2/3 Calculate ((-1)/((-2)/2))/(312/2184). 7 What is 3*14/(-1071)*-3? 2/17 What is (-570)/684*54/(-10)? 9/2 Calculate (2/15)/((-6)/(-30)). 2/3 What is the value of (52/130)/(32/(-10))? -1/8 ((-545)/(-218))/((-5)/16) -8 Evaluate (-4)/(-2)*2/(28/14). 2 50/(-15)*(-24)/10 8 7/((-4347)/92)*(-3)/2 2/9 Calculate (8/8)/(((-18)/(-30))/(-3)). -5 Calculate (24/9)/(-2)*(-12)/8. 2 Evaluate (-2)/(-56)*(-288)/(-36). 2/7 Evaluate (-4)/42*9/450*30. -2/35 Evaluate (-1)/8*(-66)/(-11). -3/4 What is (-14)/21*(-42)/(-49)? -4/7 Calculate (-2)/(-1)*40/16. 5 Evaluate (1*-1)/((-4)/30*-15). -1/2 What is the value of (5/(-10))/((45/(-6))/5)? 1/3 Evaluate ((-2)/4)/(21/(-72)*-4). -3/7 Evaluate 368/138*1/(-6). -4/9 What is 1/(-2)*-6*2/3? 2 Calculate (6*(-3)/(-27))/(16/6). 1/4 What is the value of (2/(-1)*2)/((-14)/35)? 10 Evaluate (6/(-42))/(6/42). -1 Calculate -6*(21/6)/7. -3 Evaluate (-2)/13*(-741)/456. 1/4 What is the value of ((-8)/10)/((-86)/(-215))? -2 Evaluate (0/((-3)/(-3)))/((-6)/2). 0 What is the value of ((-90)/(-27))/(2/3)? 5 What is the value of 7/(-5)*25/(525/18)? -6/5 ((48/(-40))/(-3))/(-1) -2/5 What is (-3)/(-6)*16/32*-4? -1 Evaluate 1/2*(-8)/(-4). 1 Evaluate (-1)/((-2)/(-4)*(-56)/8). 2/7 What is (-8)/(-64)*-20*8/45? -4/9 Evaluate (-30)/5*12/24. -3 Evaluate (30/(-20))/((-3)/4). 2 Calculate 1/(-3)*(-10)/(-10). -1/3 Calculate ((-2)/(-25))/(88/220). 1/5 What is (12/18)/(-3*6/135)? -5 (-8)/6*(-10)/40 1/3 What is the value of 2/35*5/1? 2/7 Evaluate 3/(-4)*(-14)/42. 1/4 What is the value of (-10)/((-4)/(-2)*1)? -5 What is 6/(8/((-80)/(-50)))? 6/5 Evaluate (-1)/2*(-40)/5. 4 (10/4)/((-16)/((-368)/345)) 1/6 What is (1/(-4)*1)/((-5)/20)? 1 Calculate 27/(-6)*4/6. -3 Evaluate (8/12)/(9/((-405)/10)). -3 What is (8/10)/((-5)/(125/(-10)))? 2 What is the value of 2/(-5)*(-70)/(-28)? -1 What is ((-6)/(-84)*-4)/((-18)/14)? 2/9 What is the value of (-36)/(-9)*((-5)/(-10))/(-1)? -2 12*((-4)/(-1))/32 3/2 (-3*(-20)/135)/(-2) -2/9 What is (-1)/(-21)*207/23? 3/7 Calculate ((-15)/(-15))/((-2)/6). -3 What is (-14)/(-21)*6/16? 1/4 What is the value of ((-60)/(-96)*-4)/3? -5/6 What
{ "pile_set_name": "DM Mathematics" }
1730, -1657, -1548, -1397? r**3 + 9*r**2 + 9*r - 1792 What is the q'th term of 792, 1401, 2010? 609*q + 183 What is the o'th term of -274, -618, -1018, -1468, -1962? o**3 - 34*o**2 - 249*o + 8 What is the g'th term of 51, 470, 1595, 3774, 7355? 58*g**3 + 5*g**2 - 2*g - 10 What is the j'th term of 160, 169, 188, 217, 256? 5*j**2 - 6*j + 161 What is the w'th term of 429, 903, 1377, 1851? 474*w - 45 What is the f'th term of 903, 896, 885, 870, 851, 828, 801? -2*f**2 - f + 906 What is the j'th term of -256, -183, -106, -13, 108, 269, 482? 2*j**3 - 10*j**2 + 89*j - 337 What is the y'th term of -15, 57, 391, 1161, 2541, 4705, 7827, 12081? 29*y**3 - 43*y**2 - 2*y + 1 What is the d'th term of 68546, 68543, 68540, 68537? -3*d + 68549 What is the x'th term of -168209, -336421, -504633, -672845? -168212*x + 3 What is the r'th term of 320402, 320402, 320404, 320408, 320414, 320422, 320432? r**2 - 3*r + 320404 What is the z'th term of 32143, 32135, 32115, 32077, 32015, 31923, 31795, 31625? -z**3 - z + 32145 What is the h'th term of 364, 1437, 3224, 5725, 8940, 12869? 357*h**2 + 2*h + 5 What is the t'th term of 120156, 120155, 120154, 120153, 120152, 120151? -t + 120157 What is the p'th term of -951, -963, -975, -987, -999, -1011? -12*p - 939 What is the j'th term of -976, -1946, -2910, -3868? 3*j**2 - 979*j What is the x'th term of -150, -1137, -3806, -8997, -17550? -140*x**3 - x**2 - 4*x - 5 What is the p'th term of -381, -372, -349, -306, -237, -136? p**3 + p**2 - p - 382 What is the o'th term of 53, -88, -219, -334, -427, -492, -523? o**3 - o**2 - 145*o + 198 What is the g'th term of 14, -29, -134, -301? -31*g**2 + 50*g - 5 What is the i'th term of -1331, -2987, -4643? -1656*i + 325 What is the p'th term of -17851, -35701, -53549, -71395, -89239, -107081? p**2 - 17853*p + 1 What is the o'th term of 1743, 3268, 4787, 6294, 7783, 9248? -o**3 + 3*o**2 + 1523*o + 218 What is the f'th term of 1059, 1046, 1029, 1014, 1007? f**3 - 8*f**2 + 4*f + 1062 What is the c'th term of -726, -5948, -20120, -47718, -93218? -746*c**3 + c**2 - 3*c + 22 What is the i'th term of 4170799, 4170798, 4170797? -i + 4170800 What is the k'th term of -9448, -18917, -28386, -37855? -9469*k + 21 What is the t'th term of -4630, -9244, -13858? -4614*t - 16 What is the z'th term of -94, -849, -2922, -6979, -13686, -23709? -111*z**3 + 7*z**2 + z + 9 What is the r'th term of -1669449, -1669448, -1669447, -1669446, -1669445? r - 1669450 What is the i'th term of 151, 303, 465, 643, 843? i**3 - i**2 + 148*i + 3 What is the z'th term of -1668, -3330, -4992, -6654, -8316? -1662*z - 6 What is the b'th term of -174, -341, -500, -651, -794, -929, -1056? 4*b**2 - 179*b + 1 What is the s'th term of 1580, 3182, 4830, 6548, 8360? 4*s**3 - s**2 + 1577*s What is the v'th term of 39, -12, -111, -270, -501, -816, -1227, -1746? -2*v**3 - 12*v**2 - v + 54 What is the h'th term of -1452, -2688, -3924, -5160? -1236*h - 216 What is the m'th term of 0, -199, -394, -585, -772, -955? 2*m**2 - 205*m + 203 What is the k'th term of 227, 1803, 6079, 14405, 28131? 225*k**3 + k + 1 What is the s'th term of 60, 96, 86, 12, -144? -3*s**3 - 5*s**2 + 72*s - 4 What is the n'th term of 2775, 5542, 8309? 2767*n + 8 What is the t'th term of 266, 482, 702, 926, 1154, 1386, 1622? 2*t**2 + 210*t + 54 What is the a'th term of 996, 2018, 3040? 1022*a - 26 What is the q'th term of 858, 3484, 7868, 14016, 21934, 31628, 43104, 56368? q**3 + 873*q**2 - 16 What is the d'th term of -38857, -77703, -116543, -155377? 3*d**2 - 38855*d - 5 What is the r'th term of 281995, 281996, 281997, 281998, 281999? r + 281994 What is the v'th term of -212, -125, 34, 277, 616? 2*v**3 + 24*v**2 + v - 239 What is the u'th term of 761, 3220, 7333, 13094, 20497? -u**3 + 833*u**2 - 33*u - 38 What is the b'th term of -3149, -6302, -9461, -12626, -15797? -3*b**2 - 3144*b - 2 What is the i'th term of 208304, 208311, 208322, 208337? 2*i**2 + i + 208301 What is the z'th term of -339, -611, -777, -783, -575, -99, 699? 9*z**3 - z**2 - 332*z - 15 What is the b'th term of -6605, -6593, -6561, -6497, -6389, -6225, -5993, -5681? 2*b**3 - 2*b**2 + 4*b - 6609 What is the k'th term of 80720, 80722, 80724? 2*k + 80718 What is the f'th term of 194217, 194215, 194213, 194211, 194209, 194207? -2*f + 194219 What is the z'th term of -31385, -31383, -31381? 2*z - 31387 What is the g'th term of 22258, 22082, 21906? -176*g + 22434 What is the h'th term of -919, -773, -537, -217, 181, 651, 1187? -h**3 + 51*h**2 - 969 What is the a'th term of -1122, -4474, -10054, -17856, -27874, -40102? a**3 - 1120*a**2 + a - 4 What is the j'th term of 706, 1435, 2158, 2881, 3610, 4351, 5110? j**3 - 9*j**2 + 749*j - 35 What is the v'th term of -127, -469, -1043, -1849, -2887? -116*v**2 + 6*v - 17 What is the a'th term of 7381, 7412, 7459, 7522, 7601, 7696? 8*a**2 + 7*a + 7366 What is the y'th term of 1204, 1256, 1348, 1480, 1652, 1864? 20*y**2 - 8*y + 1192 What is the g'th term of 894, 3700, 8420, 15054? 957*g**2 - 65*g + 2 What is the y'th term of 26024, 104176, 234420, 416750, 651160? -y**3 + 26052*y**2 + 3*y - 30 What is the u'th term of 5662, 5850, 6038? 188*u + 5474 What is the o'th term of 415048, 830096, 1245144, 1660192, 2075240, 2490288? 415048*o What is the g'th term of 59, 142, 287, 500, 787, 1154, 1607? g**3 + 25*g**2 + g + 32 What is the t'th term of -26, -19, 8, 55? 10*t**2 - 23*t - 13 What is the s'th term of -1352, -1375, -1406, -1445, -1492, -1547? -4*s**2 - 11*s - 1337 What is the r'th term of -8153, -16310, -24477, -32660, -40865, -49098, -57365? -r**3 + r**2 - 8153*r What is the k'th term of 470, 604, 738, 872, 1006, 1140? 134*k + 336 What is the j'th term of 48, 162, 276, 390? 114*j - 66 What is the x'th term of 8623, 8839, 9205, 9727, 10411, 11263, 12289? x**3 + 69*x**2 + 2*x + 8551 What is the y'th term of 244457, 244448, 244439? -9*y + 244466 What is the p'th term of 408, 1234, 2620, 4566, 7072, 10138, 13764? 280*p**2 - 14*p + 142 What is the f'th term of 244, 399, 564, 739, 924, 1119, 1324? 5*f**2 + 140*f + 99 What is the w'th term of -1804, -3628, -5392, -7066, -8620? 5*w**3 - 1859*w + 50 What is the l'th term of 1625, 1685, 1785, 1925, 2105, 2325? 20*l**2 + 1605 What is the h'th term of -40970, -40956, -40942, -40928, -40914, -40900? 14*h - 40984 What is the m'th term of -770, -1649, -2528? -879*m + 109 What is the y'th term of 10457, 20975, 31493? 10518*y - 61 What is the z'th term of -100, -282, -544, -886, -1308? -40*z**2 - 62*z + 2 What is the y'th term of 5466, 21409, 47834, 84735, 132106, 189941, 258234, 336979? -y**3 + 5247*y**2 + 209*y + 11 What is the w'th term of -2992, -12016, -27070, -48154, -75268, -108412, -147586? -3015*w**2 + 21*w + 2 What is the h'th term of 463, 1397, 2983, 5227, 8135? h**3 + 320*h**2 - 33*h + 175 What is the r'th term of 6847, 13599, 20351, 27103, 33855, 40607? 6752*r + 95 What is the c'th term of 1224, 1174, 1082, 942, 748, 494, 174, -218? -c**3 - 15*c**2 + 2*c + 1238 What is the f'th term of -340, -686, -1030, -1372? f**2 - 349*f + 8 What is the v'th term of 4125, 4065, 4007, 3951, 3897? v**2 - 63*v + 4187 What is the z'th term of -686, -1405, -2124, -2843, -3562, -4281? -719*z + 33 What is the l'th term of 4028, 8058, 12088, 16118? 4030*l - 2 What is the y'th term of 53862, 107725, 161588, 215451, 269314, 323177? 53863*y - 1 What is the x'th term of -2746, -2907, -3068, -3229? -161*x - 2585 What is the d'th term of -15158, -15160, -15162, -15164, -15166? -2*d - 15156 What is the j'th term of 616, 1284, 2024, 2848, 3768? 2*j**3 + 24*j**2 + 582*j + 8 What is the f'th term of -5223, -20685, -46463, -82563, -128991, -185753, -252855, -330303? -f**3 - 5152*f**2 + f - 71 What is the u'th term of -3040, -3023, -2996, -2959, -2912? 5*u**2 + 2*u - 3047 What is the u'th term of -4354, -7998, -11642, -15286, -18930, -22574? -3644*u - 710 What is the a'th term of -239, -1904, -6437, -15272, -29843, -51584? -239*a**3 + 8*a - 8 What is the j'th term of -623, -1288, -1995, -2744, -3535, -4368? -21*j**2 - 602*j What is the n'th term of 814, 3217, 7220, 12823, 20026, 28829, 39232? 800*n**2 + 3*n + 11 What is the t'th term of 2761, 5540, 8319, 11098, 13877, 16656? 2779*t - 18 What is the a'th term of -380245, -760487, -1140729? -380242*a - 3 What i
{ "pile_set_name": "DM Mathematics" }
be (x/(-72))/((-6)/4). Solve 4*f + 21 = -n, g*f + f + 3*n = -23 for f. -5 Let r(p) = -p**2 + 7*p - 14. Let j be r(4). Let z be (0/((-2)/j))/(25/(-25)). Let s = 16 + -4. Solve -x + z*x = 2*l + 1, -l = -2*x - s for l. 2 Suppose 2*a - 38 = -10. Let r(i) = -i**3 + 14*i**2 + i - 12. Let f be r(a). Solve -4*z = f*c + 22, -3*c - 2*z - 13 = -0*z for c. -1 Suppose 0 = -5*m + 5*u, 2*m + 6 = 3*u + 2*u. Solve 11 = 4*p + 3*a, 2*p = -a - m + 7 for p. 2 Let q be 3/(-5) + 288/(-45). Let z(a) = 3*a. Let p(t) = 5*t. Let n(w) = q*z(w) + 4*p(w). Let j be n(-5). Solve 3*o - 37 = -5*c, c - j = -0*c for o. 4 Suppose 4*j + 4*d - 12 = 0, -13 + 0 = -4*j - 5*d. Solve -4*s = -3*q - 7, -j*q - 2*s - 1 = q for q. -1 Let i be -103*((-2)/13 + (-22)/26). Let b = -99 + i. Solve 3*x = -2*p - p - 3, -b = -4*x - 2*p for x. 3 Suppose -5*v - 2*n = -585 - 161, 0 = 3*n - 9. Let b = v + -140. Solve 4*g = -4*u - 0*u - b, -4*u + g = -7 for u. 1 Let i be -7*(3 - 5 - -1). Let v be i/(-3 - (-4 + 0)). Suppose v*z = 17 - 3. Solve y + z*x = -x - 13, -2*y = -5*x - 7 for y. -4 Let t(b) = -b**3 - 6*b**2 - 21*b - 18. Let q be t(-2). Solve 3*x + q = -4*d, 107*d = -x + 110*d + 6 for x. 0 Let l be 24/(-54) - (-1332)/81. Solve -22*z = -20*z + 3*q + l, 2*z = 4*q + 12 for z. -2 Suppose -3*u = 6, 774 - 724 = 2*l - 3*u. Solve 2*h + 20 = -5*d, -8 = -4*h - l*d + 24*d for h. 0 Let l be (-3)/(-4)*(-32)/(-2). Suppose o + l = 5*o. Let d = 7 - 3. Solve p - 5*f = -12 + d, -o*f - 12 = 5*p for p. -3 Suppose 3*o + 2*c = 830, 5*o + c - 826 = 2*o. Let j = 278 - o. Solve 5*b - 6*b = -5*l + 1, -5*l + 4*b + j = 0 for l. 0 Suppose -54*b = b - 197*b + 426. Solve 0 = -4*v + c, b*v = -2*v + 5*c for v. 0 Let q be (8/116 - 189/(-203)) + 3. Solve 2*g + 4 = -z, q*z = 3*z + 3*g - 4 for z. -4 Let t = -563 - -565. Suppose -4*q = -4*y, -4*y + 2*q = 3*q - 15. Solve t*p - 7 = 3*b, -3*p + b = y*b - 17 for p. 5 Suppose 8*i - 5*i - 11 = 2*k, 3*i + 7 = 11*k. Solve 4*u + 8 = 0, 0 = -3*r - 6*u + k*u - 2 for r. 2 Suppose -62 = -3*y - 4*g, -5*y + 30*g + 74 = 33*g. Let x = 1 + 2. Let c = x - 1. Solve -2*u + 10 = 0, -4*u = -c*s - 38 + y for s. -4 Suppose -6*y + 78 = 20*y. Let w(a) = -7*a + 47. Let m be w(6). Solve -2*r + y*x - 1 = 0, m*x + 3 = r + 7 for r. 1 Suppose -3*o = -2*w - 2*o + 28, 4*w - 42 = -5*o. Let m = 1629 + -1624. Let f = 20 - 17. Solve -4*s = -f*s - m*b - w, -s - b + 1 = 0 for s. 3 Let h = 930 + -491. Let m = h - 435. Solve -7 = -5*y + y - t, y + m*t = -2 for y. 2 Let n(c) = c**3 - 7*c**2 + 10*c - 19. Let i be n(6). Suppose -5*f + 2*x = -19, -f + i*f - 10 = -x. Solve 2*q - 5 = -s, 0 = s - f*s + q + 5 for s. 3 Let r be (351/(-36) - -8)*(-15 + 3). Solve -4*j - 4*n + 8 = 0, 2*j + 0*n + r = 3*n for j. -3 Suppose 3*a - x + 96 = 243, -93 = -2*a - x. Solve k = 2*t - 3, -a*k - 15 = -51*k for t. 4 Let o = 65 - 47. Suppose -23*k + o = -21*k. Suppose -4*t = -k*t + 10. Solve a - 10 = -4*b - t*a, 0 = 3*b - 4*a - 20 for b. 4 Let z = -62 - -57. Let m(v) = 2*v**3 + 9*v**2 - 6*v - 4. Let k be m(z). Let u be (-6)/(k - 5*(-1)/(-2)). Solve 2*q + 3*l = -3*q + 37, -u*l = -5*q + 9 for q. 5 Let q be (-78)/91*(-266)/57. Solve 80 = -16*m + q*f, 7*m = 9*m + f + 10 for m. -5 Let o be 1/(24/(-22) - -1). Let y be (-1)/3*o/((-11)/(-9)). Suppose -3*k - 1 + 7 = 0. Solve -k*g + g = -5*a - 15, a - 11 = y*g for a. -4 Suppose 18*q = 21*q - 24. Let l be 1415/95 - q/(-76). Solve -5 = -2*g + 5*w, w + 4 = 4*g - l for g. 5 Suppose -91*y + 33 = -236*y + 1193. Solve y*g + 5*m = -0*g + 23, 5*m + 37 = 2*g for g. 6 Suppose -267*x - 157 = -424. Solve 36 = 5*h + 5*z + 46, z = -2*h + x for h. 3 Suppose 0 = -3*n + 5*c + 1001, 2*n = n - 4*c + 345. Suppose -n + 322 = -5*j. Solve -s = 4*s + h + 13, 2*h - 13 = j*s for s. -3 Let k = -13 + 18. Suppose -8*a - 83 + 51 = 0. Let c be ((-8)/(-18))/(a/(-18)). Solve x + 2*p + p = k, -c*p = -3*x - 18 for x. -4 Suppose 3*w - 2*q - 2*q - 115 = 0, 5*q = -20. Let c be -2*(0 + (w/(-6) - -1)). Solve 3*i + 4*o = -2*i - c, -6 = i + 5*o for i. -1 Suppose 2*j + m = 303, 3*j + 5*m = -183 + 648. Let s be j/375 + (-2)/5. Solve -4*h = 2*l - s*l - 6, -h = -5*l + 15 for h. 0 Let x(v) = -26*v - 35. Let s be x(-8). Let k = -170 + s. Solve -c = -k*q, -5*c + q - 4*q = -18 for c. 3 Let n(q) = 4*q - 44. Let o be n(11). Let r be -1*(-13 + o) - -1. Solve -z + 8 = -3*j, 2*z = 5*j - j + r for j. -1 Suppose -40*f + 63 = -137. Suppose -n = f*w + 2, 0 = -5*w - 2 - 3. Solve -a = -2*q + 8, 13 - n = -5*a for q. 3 Let s(m) = 14*m + 104. Let j be 4/(-5)*6/20*25. Let i be s(j). Solve 3*k + 2*r - 6 = -4, -2*k + 4*r - i = 0 for k. -2 Let v(x) = -x**2 + 22. Let o be v(0). Let d = 25 - o. Let b be ((-4)/12*-3)/(d/6). Solve b*c + 12 = -5*i, -3*i - 6 = -c - 1 for c. -1 Let i = -813 + 858. Suppose 26*g + 95 = i*g. Solve -3*c - 2*m = -0*c + 15, -3*m + g = -c for c. -5 Let l = -18550 + 18559. Solve 6*z = l*z - 3*q + 9, q = -z - 5 for z. -4 Let f = 59 - 87. Let d be (-1 - -1) + 0 - (25 + f). Solve 3*v - 2 = 4*y, -5*y = d*v + 5 + 11 for v. -2 Suppose -25 = -5*g + 35. Let i be 18/(-9)*(-6)/6. Solve s = 4*x - 0*s - g, i*x - 2*s - 12 = 0 for x. 2 Let j = -377 - -1388. Suppose -j = -12*b - 927. Solve 0 = -h - 3*d + b*d, 0 = -h - 5*d - 9 for h. -4 Let y be 3 + 0 + -2 - -179. Let o = 183 - y. Solve 20 = -2*c + 4*l - 0*l, -6 = -3*c - o*l for c. -2 Let k(i) = -i + 7. Let d be k(7). Let a = 62 + -50. Suppose 4*j + 2*w - a = 0, 0*j + 2*w = j - 13. Solve 4*r - j*b = -10, d = r - 0*r + 5*b + 15 for r. -5 Let p be 16/(-11 - -15) + 12*(-10)/(-15). Solve 0 = 4*s - 2*v - 2*v + p, 5*s + 18 = 2*v for s. -4 Suppose 0 = 46*j - 85*j + 195. Solve -m = 5*d - 0*m + 11, 0 = -j*d + m - 9 for d. -2 Let h be 0 + (-19)/(-6) + (-74)/444. Suppose 0 = -14*t - h + 3. Solve -5*k - 4*u = -17, k + 2*u - u - 4 = t for k. 1 Let g(x) = -2*x**2 + 32*x - 7. Let d be g(15). Let m = 422 + -402. Solve 0 = -5*q + m, 5*q - d = 4*j - j for j. -1 Suppose 8*t - 468 + 356 = -8*t. Solve 5*j - 3*j - 11 = -3*w, -j - 3*w = -t for j. 4 Let h be (8/14)/((-16)/(-112)). Suppose h*b - 140 = d, -d = -2*b + 22 + 48. Let p = -35 + b. Solve q + f - 3*f - 4 = p, -4 = f for q. -4 Suppose 11 + 13 = 4*u + 4*h, 0 = -h + 3. Suppose 0 = u*i - 41 + 35. Solve -o - 7*p = -i*p - 5, o - 4*p = -4 for o. 0 Let r(i) = 8*i**3 - 2*i**2 + 13*i - 11. Let d = -54 + 55. Let v be r(d). Solve 2*b = -4*y - 14, -b + 3*y + v = -0*y for b. -1 Let d(q) = -q**2 - 4*q + 19. Let f be d(-7). Let x be (-42)/(-18) + f/6. Solve -6 = -4*z - x*m, 4*z - 3*m - 10 = -m for z. 2 Suppose 59*l + 5*s - 10 = 54*l, -112 = -5*l + 12*s. Solve p = -3*a - 5, 13 - l = -4*a - p for a. 0 Let z(r) be the third derivative of 19*r**4/12 + 2*r**3 + 26*r**2. Let q be z(-2). Let o = -61 - q. Solve -o*u = 4*l - 26, -u + l = -0*u + 3 for u. 2 Let v(q) = q**3 + 10*q**2 - q + 14. Let z(a) = -a**3 - a**2 - 1. Let h(i) = v(i) + 2*z(i). Let r be h(8). Solve -3*b - r*k = 11, -5*b - k - 3 - 4 = 0 for b. -1 Let x be (-18 - -21 - 19/7) + 160/224. Solve 3*z - x + 2 = 2*u, 0 = -z - 2*u + 13 for z. 3 Suppose -4*n + u + 64 = 0, -10*u = -2*n - 7*u + 42. Solve 22*x - 20 = 17*x - 3*z, 3*z = n for x. 1 Let l = -2968 + 2973. Solve 0 = l*w - 4*c + 30, -3*w + 8*w - 10 = -4*c for w. -2 Suppose -m = 2*o - 4*o, 5*o + 4*m = 0. Let x = -45 + o. Let k = 45 + x. Solve 4*r - 2*n = 30, 0 = -k*r - 5*r - 5*n for r. 5 Let a(y) = 3*y**2 + 3*y + 7. Let p be a(-2). Suppose q - p = -10. Solve 3*k + 3 = -4*l - 11, -5*k + 25 = -q*l for k. 2 Let b(q) = -4 - 1 - 5*q - 6 + 1. Let o be -6 + -1 - 32/(-8). Let j be b(o). Solve -1 + j = 5*u - w, 3*u - 4 = w for u. 0 Let r(a) = a**3 + 2*a**2 + 25*a + 52. Suppose -14*j = -9*j + 10. Let y be r(j). Solve 2*p - 5*p = 2*i, y*p - 5 = -3*i for i. 3 Let t = 3628 + -3626. Suppose -20 = -4*v - 7*s + 3*s, -s = -3. Suppose -6 - v = -4*c. Solve 0 = c*y - 2*p - t, -5*y - 3*p + 21 = 0 for y. 3 Let l be (-3103)/(-174) + -16 + 1*(-2)/(-12). Solve 30 = -2*x + 5*r, 6*r = l*r + 16 for x. -5 Let y(r) = -2*r**3 - 31*r**2 - 47*r - 62. Let o be y(-14). Solve 0 = 6*b - 4*b - 5*a - 18, 0 = 4*a + o for b. 4 Suppose -8*k - 3 + 14 = -5*t, -5 = 3*t - 4*k. Let a(m) = -2*m - 1. Let n be a(-3). Solve -5*y + 4*j - n = 0, 3*j - 2 = 4*y + t for y. 3 Let h be -1 + (-5)/((-25)/20). Let a be -7 - (-292)/16 - 3/(-4). Solve 2*c + h*m = -a, -c - m - 1 = 4 for c. -3 Let p(t) be the first derivative of t**2 + 4*t - 263. Let u be p(-1). Let o b
{ "pile_set_name": "DM Mathematics" }
, -891, -1554, -2355, -3270? 4*w**3 - 117*w**2 + 8*w + 30 What is the y'th term of -811, -6540, -22099, -52402, -102363, -176896? -819*y**3 - y**2 + 7*y + 2 What is the d'th term of -546, -1104, -1660, -2214, -2766, -3316, -3864? d**2 - 561*d + 14 What is the i'th term of 2714496, 2714494, 2714492, 2714490, 2714488, 2714486? -2*i + 2714498 What is the a'th term of 55, 226, 685, 1576, 3043, 5230, 8281? 24*a**3 + 3*a + 28 What is the z'th term of -6321878, -6321879, -6321880? -z - 6321877 What is the d'th term of -169, -665, -1485, -2629? -162*d**2 - 10*d + 3 What is the i'th term of 335, 1204, 2647, 4664, 7255, 10420, 14159? 287*i**2 + 8*i + 40 What is the u'th term of -6816, -27318, -61488, -109326, -170832, -246006, -334848? -6834*u**2 + 18 What is the z'th term of 376, 363, 348, 331? -z**2 - 10*z + 387 What is the j'th term of 22126, 44252, 66378, 88504, 110630, 132756? 22126*j What is the w'th term of 110541, 110547, 110553, 110559? 6*w + 110535 What is the i'th term of 16911, 16908, 16907, 16908, 16911? i**2 - 6*i + 16916 What is the f'th term of 638, 2384, 5292, 9362? 581*f**2 + 3*f + 54 What is the j'th term of -280, -637, -1154, -1909, -2980? -13*j**3 - 2*j**2 - 260*j - 5 What is the y'th term of 19997, 39970, 59945, 79922, 99901? y**2 + 19970*y + 26 What is the z'th term of 23848, 23838, 23828, 23818? -10*z + 23858 What is the d'th term of 1566, 1562, 1558, 1554, 1550? -4*d + 1570 What is the g'th term of 7536, 15071, 22606? 7535*g + 1 What is the l'th term of -51954, -103903, -155852, -207801, -259750, -311699? -51949*l - 5 What is the s'th term of 4784, 4528, 3830, 2468, 220? -37*s**3 + s**2 + 4820 What is the n'th term of -4096, -8188, -12302, -16450, -20644, -24896, -29218, -33622? -2*n**3 + n**2 - 4081*n - 14 What is the p'th term of -61401, -122800, -184197, -245592, -306985, -368376? p**2 - 61402*p What is the j'th term of -369, -1324, -2917, -5148? -319*j**2 + 2*j - 52 What is the u'th term of -1574790, -1574791, -1574792, -1574793? -u - 1574789 What is the t'th term of -77, -146, -217, -296, -389, -502, -641? -t**3 + 5*t**2 - 77*t - 4 What is the z'th term of -3751, -3745, -3739, -3733, -3727, -3721? 6*z - 3757 What is the k'th term of -139, -419, -699, -979, -1259? -280*k + 141 What is the g'th term of 787, 2896, 6411, 11332, 17659? 703*g**2 + 84 What is the s'th term of 100285, 200553, 300821, 401089? 100268*s + 17 What is the n'th term of 170, 220, 352, 608, 1030, 1660? 7*n**3 - n**2 + 4*n + 160 What is the o'th term of 237, 255, 273, 291, 309, 327? 18*o + 219 What is the p'th term of 2445, 4988, 7621, 10344, 13157, 16060, 19053? 45*p**2 + 2408*p - 8 What is the x'th term of 4996, 19980, 44950, 79900, 124824, 179716, 244570? -x**3 + 4999*x**2 - 6*x + 4 What is the f'th term of -1102302, -1102292, -1102276, -1102254, -1102226? 3*f**2 + f - 1102306 What is the m'th term of -2284, -9197, -20738, -36907, -57704? -2314*m**2 + 29*m + 1 What is the g'th term of -15300, -15303, -15306, -15309, -15312, -15315? -3*g - 15297 What is the r'th term of 238, 174, 66, -86? -22*r**2 + 2*r + 258 What is the b'th term of 88, 160, 236, 322, 424, 548? b**3 - 4*b**2 + 77*b + 14 What is the c'th term of -110, -169, -290, -467, -694, -965? c**3 - 37*c**2 + 45*c - 119 What is the v'th term of -88, -207, -354, -517, -684, -843? 2*v**3 - 26*v**2 - 55*v - 9 What is the j'th term of 431, 1729, 3889, 6911, 10795, 15541? 431*j**2 + 5*j - 5 What is the u'th term of -12837, -12834, -12831, -12828, -12825? 3*u - 12840 What is the m'th term of 9305, 18633, 27961? 9328*m - 23 What is the m'th term of 57, 171, 389, 741, 1257, 1967, 2901, 4089? 5*m**3 + 22*m**2 + 13*m + 17 What is the h'th term of 7315, 14637, 21979, 29353, 36771, 44245? 2*h**3 - 2*h**2 + 7314*h + 1 What is the v'th term of 89527, 89524, 89521, 89518, 89515, 89512? -3*v + 89530 What is the t'th term of 206, 399, 928, 1961, 3666? 28*t**3 - 3*t + 181 What is the f'th term of -116416, -116423, -116426, -116425, -116420? 2*f**2 - 13*f - 116405 What is the p'th term of 3266, 3254, 3244, 3236? p**2 - 15*p + 3280 What is the a'th term of 36, 194, 466, 852, 1352? 57*a**2 - 13*a - 8 What is the r'th term of -3767, -15075, -33923, -60311, -94239? -3770*r**2 + 2*r + 1 What is the g'th term of -691, -1340, -2003, -2686, -3395? -g**3 - g**2 - 639*g - 50 What is the t'th term of 4001, 8026, 12085, 16178? 17*t**2 + 3974*t + 10 What is the b'th term of 799099, 799100, 799101, 799102, 799103, 799104? b + 799098 What is the j'th term of 1417, 1267, 1013, 655, 193? -52*j**2 + 6*j + 1463 What is the k'th term of -29750, -29758, -29766, -29774, -29782? -8*k - 29742 What is the q'th term of 1066086, 2132163, 3198238, 4264311? -q**2 + 1066080*q + 7 What is the v'th term of 68, 140, 332, 704, 1316, 2228? 10*v**3 + 2*v + 56 What is the a'th term of 27060, 27084, 27124, 27180, 27252? 8*a**2 + 27052 What is the a'th term of -41, -379, -1275, -3005, -5845, -10071, -15959? -46*a**3 - 3*a**2 - 7*a + 15 What is the t'th term of 62, 2, -140, -364, -670? -41*t**2 + 63*t + 40 What is the l'th term of -7373, -15036, -22699, -30362? -7663*l + 290 What is the f'th term of -234, -865, -1922, -3405, -5314? -213*f**2 + 8*f - 29 What is the p'th term of 14697110, 14697103, 14697084, 14697047, 14696986, 14696895? -p**3 + 14697111 What is the d'th term of 6913, 6906, 6899, 6892, 6885, 6878? -7*d + 6920 What is the y'th term of -216978, -433962, -650948, -867936? -y**2 - 216981*y + 4 What is the r'th term of 1476, 3120, 4772, 6438, 8124, 9836, 11580, 13362? r**3 - 2*r**2 + 1643*r - 166 What is the z'th term of 347, 363, 397, 455, 543? z**3 + 3*z**2 + 343 What is the d'th term of -15628, -31245, -46850, -62437, -78000? d**3 - 15624*d - 5 What is the b'th term of 805, 964, 1125, 1288, 1453, 1620, 1789? b**2 + 156*b + 648 What is the z'th term of -11231, -22462, -33693? -11231*z What is the m'th term of 14262, 28539, 42830, 57141, 71478, 85847, 100254? m**3 + m**2 + 14267*m - 7 What is the v'th term of -5145, -5154, -5169, -5190? -3*v**2 - 5142 What is the c'th term of -21, -38, -37, -6, 67, 194, 387, 658? 2*c**3 - 3*c**2 - 22*c + 2 What is the v'th term of 314, 96, -660, -1954? -269*v**2 + 589*v - 6 What is the b'th term of -14950, -14951, -14952? -b - 14949 What is the d'th term of 1647, 6619, 14925, 26583, 41611, 60027? 3*d**3 + 1649*d**2 + 4*d - 9 What is the a'th term of 4495, 4500, 4505, 4510, 4515, 4520? 5*a + 4490 What is the l'th term of 401, 1622, 3663, 6530, 10229, 14766, 20147, 26378? l**3 + 404*l**2 + 2*l - 6 What is the p'th term of 157239, 157240, 157241, 157242, 157243, 157244? p + 157238 What is the q'th term of -117662, -117681, -117700? -19*q - 117643 What is the u'th term of 4590, 9203, 13818, 18435, 23054, 27675? u**2 + 4610*u - 21 What is the g'th term of -623, -1384, -2145, -2906? -761*g + 138 What is the g'th term of 146, 226, 238, 182, 58, -134? -34*g**2 + 182*g - 2 What is the k'th term of 396, 860, 1454, 2244, 3296, 4676? 11*k**3 - k**2 + 390*k - 4 What is the r'th term of 132, -70, -408, -882? -68*r**2 + 2*r + 198 What is the k'th term of 14625, 14385, 14143, 13899? -k**2 - 237*k + 14863 What is the k'th term of -2494, -5163, -7810, -10429, -13014, -15559, -18058? k**3 + 5*k**2 - 2691*k + 191 What is the r'th term of -2194, -2212, -2230? -18*r - 2176 What is the r'th term of 21999, 43986, 65961, 87918, 109851? -r**3 + 21994*r + 6 What is the i'th term of -27, -104, -217, -360, -527, -712? i**3 - 24*i**2 - 12*i + 8 What is the x'th term of -3251705, -3251706, -3251707, -3251708? -x - 3251704 What is the y'th term of 235713, 471426, 707139, 942852? 235713*y What is the g'th term of -133865, -267756, -401633, -535490, -669321? g**3 + g**2 - 133901*g + 34 What is the r'th term of 4399, 8791, 13183? 4392*r + 7 What is the t'th term of -15621, -62383, -140289, -249339? -15572*t**2 - 46*t - 3 What is the c'th term of 3373, 6741, 10109? 3368*c + 5 What is the t'th term of -73189, -146379, -219571, -292765, -365961? -t**2 - 73187*t - 1 What is the p'th term of -279, -1950, -6479, -15294, -29823, -51494, -81735, -121974? -238*p**3 - p**2 - 2*p - 38 What is the w'th term of 10992, 21977, 32962, 43947, 54932, 65917? 10985*w + 7 What is the z'th term of 48563, 97111, 145657, 194201, 242743? -z**2 + 48551*z + 13 What is t
{ "pile_set_name": "DM Mathematics" }
r r. -38 Solve -65190 = 3567*x + 188067 for x. -71 Solve 966*r + 383*r + 656*r + 72112 = 320732 for r. 124 Solve -279*q - 723*q = 39078 for q. -39 Solve 520 + 8222 = -39*w - 33*w - 69*w for w. -62 Solve 159*x - 3243 - 8385 = -487*x for x. 18 Solve -9975908 = -59*m - 9980392 for m. -76 Solve 22*r + 1550 = -24*r + 23*r - 2*r for r. -62 Solve -10434 = 1808*s - 1586*s for s. -47 Solve -1756*b - 1690*b - 3703 = 1708*b - 4993*b for b. -23 Solve 23121431*g - 23121268*g = -13366 for g. -82 Solve 37173 - 23542 + 48919 = -2502*h for h. -25 Solve -44*g = -2*g + 26*g + 1904 for g. -28 Solve -127570*k - 53 = -127549*k + 193 + 174 for k. -20 Solve 209*m + 2448 = -151*m + 292*m for m. -36 Solve -395*v = 668*v - 29764 for v. 28 Solve -27*n - 10619 - 32617 = 4777*n for n. -9 Solve 280 - 22845 = 1272*i + 6691 for i. -23 Solve 223 + 71 = 26*r + 86 for r. 8 Solve 0 = 6299*n - 6727*n + 6848 for n. 16 Solve -203334 + 94828 = -3076*u + 152954 for u. 85 Solve -153*n + 57174 = 122*n + 62124 for n. -18 Solve -2108*l - 15 - 24 = 2129*l - 4198*l for l. -1 Solve 1545*f + 1410 = 129645 for f. 83 Solve 0 = 6114*o + 1863*o - 147628 - 11912 for o. 20 Solve -1604*d - 33166 = 61470 for d. -59 Solve 123*y - 22823649 + 22818114 = 0 for y. 45 Solve -2256*d - 1960*d - 220110 = -214*d for d. -55 Solve 544*x + 875 = 8561 + 2106 for x. 18 Solve -299*x + 173 = 5854 for x. -19 Solve -864*c - 279*c - 4908 = 6522 for c. -10 Solve -9902*y + 314160 = -2048*y for y. 40 Solve 1725*h - 3355 = 15620 for h. 11 Solve -219*b + 2108 = 170*b + 209*b - 530*b for b. 31 Solve 1667*z - 11429 - 12249 + 8281 - 11275 = 0 for z. 16 Solve -81*c - 506*c + 35632 = -116*c + 53*c for c. 68 Solve -67*r + 288*r - 24 = -266 - 200 for r. -2 Solve -11846 - 52284 = -668*t - 200*t - 298*t for t. 55 Solve -11*g + 334 - 852 = -386 for g. -12 Solve -808*w = 117*w for w. 0 Solve -231*a + 677 = 3344 + 4956 for a. -33 Solve 85*m + 592 + 543 = -1840 for m. -35 Solve -888*l + 75216 = -132*l + 789*l - 60744 for l. 88 Solve 1914 = -344*g + 2046 - 12172 for g. -35 Solve -10*z = 18*z + 672925 - 669761 for z. -113 Solve -300*a = -63*a + 396 + 11217 for a. -49 Solve -15*b = -21*b - 14*b - 260 for b. -13 Solve 60542*r - 60303*r = -21749 for r. -91 Solve 4981*v + 234178 = -3977*v + 3512*v for v. -43 Solve -13*y - 3 - 14 = 22 for y. -3 Solve 76400 = -827*d + 24299 for d. -63 Solve 191859 = -4651*y - 199199 - 77921 + 148060 for y. -69 Solve -2348*j + 200174 = -60454 for j. 111 Solve -619*u - 26040 = u for u. -42 Solve 5535 = -1046*i - 15404 + 8813 - 20300 for i. -31 Solve 502*y + 3983 + 17131 = -2301 - 20761 for y. -88 Solve -1733 - 14227 = -228*r for r. 70 Solve -10277 = -538*n + 5863 for n. 30 Solve 516*j - 199378 = -175126 for j. 47 Solve 859*l - 20952 = 1732*l for l. -24 Solve 118*x - 122*x + 72 = 64 for x. 2 Solve 1833*t + 646 = 1799*t for t. -19 Solve 3285*l - 88708 + 5738 = 261955 for l. 105 Solve -250*s - 9956 - 1224 = -2680 for s. -34 Solve -5575*j - 942 = -5998*j + 32052 for j. 78 Solve 1357*b + 48875 = -852*b + 277 for b. -22 Solve -2346 + 257 = -170*u + 3011 for u. 30 Solve 0 = -988*k - 118509 - 15654 + 24495 for k. -111 Solve -882 = -125*l + 272*l for l. -6 Solve 0 = 943*r + 3078 - 16280 for r. 14 Solve 6744*a = 4294 - 16672 - 7854 for a. -3 Solve -9968*i + 6062 = -10196*i - 1233 + 683 for i. -29 Solve -22766 = 4144*u + 76690 for u. -24 Solve 162*x - 89 = 3114 - 25559 for x. -138 Solve 0 = -683*a + 654009 - 650594 for a. 5 Solve -103596 = -291*f + 46*f + 622*f + 787*f for f. -89 Solve -331*v + 122*v - 299*v = -7620 for v. 15 Solve -1993*v - 4139*v + 260867 = 89171 for v. 28 Solve 0 = 968*s - 5001 - 28879 for s. 35 Solve -166*l = -471*l - 291*l + 12516 for l. 21 Solve -218*x = 71*x - 43*x + 10824 for x. -44 Solve 22 = 1306*n + 12701 - 991 + 7902 for n. -15 Solve -1573 = -208*o - 2418 - 2691 for o. -17 Solve 3*f - 25 - 25 - 18 = -f for f. 17 Solve -18582 = 588*r + 13170 for r. -54 Solve 134*u - 22404 + 15838 = 0 for u. 49 Solve -88 = 15*c - 117*c + 82 + 136 for c. 3 Solve 144*l = -2423 - 661 - 2532 for l. -39 Solve -3333*t + 4256*t - 10153 = 0 for t. 11 Solve -76*d + 84558 = -525*d - 2038*d for d. -34 Solve -50796 = 799*w + 65858 for w. -146 Solve -4063*h = -80617 - 53462 for h. 33 Solve -705*z + 297*z = -337*z + 3195 for z. -45 Solve 28921829*h + 7564 = 28921953*h for h. 61 Solve -83*s - 1073 = 22 + 2142 for s. -39 Solve 48*i + 11940 - 14388 = 0 for i. 51 Solve -22514685*d = -22514575*d + 7590 for d. -69 Solve 0 = 2626*i - 50402 - 148346 - 69104 for i. 102 Solve -10693 = 78*r - 707*r for r. 17 Solve 0 = 372*g - 858*g + 6698 + 44332 for g. 105 Solve 635*k + 2130*k - 96003 = 313217 for k. 148 Solve 79*m - 8*m + 1412 + 1284 = 566 for m. -30 Solve -190*j + 4154 = 1902 - 1986 - 1272 for j. 29 Solve -1098*f = 488*f + 788*f + 16618 for f. -7 Solve 14*b = -1584*b - 50412 - 18302 for b. -43 Solve 9903 + 8367 = 435*r for r. 42 Solve -110282 = -8023*x + 234707 for x. 43 Solve 2535*g + 9689 = 3098*g - 11142 for g. 37 Solve -414*v + 13354 + 3206 = 0 for v. 40 Solve -100*f + 211 + 7415 = -4374 for f. 120 Solve -248*h - 224*h - 38123 = 36*h + 61*h for h. -67 Solve 1387*i + 29243 = 43985 + 55995 for i. 51 Solve -22620 = 26304*c - 25550*c for c. -30 Solve 0 = 267*l + 7776 - 11781 for l. 15 Solve 259511 - 276737 = 297*i for i. -58 Solve 146*o - 3830 + 3077 - 6565 - 4216 = 0 for o. 79 Solve 42*u - 291 = 1515 for u. 43 Solve -386*q - 18455 - 7137 = 427*q + 12619 for q. -47 Solve 9945180*f = 9945175*f - 225 for f. -45 Solve 57627*v + 18396 = 57335*v for v. -63 Solve -8*l - 2148 + 1077 + 1095 = 0 for l. 3 Solve 234*c - 2142 = 132*c for c. 21 Solve 268*a + 5251 + 14488 + 4593 = -285*a for a. -44 Solve -22663*m + 21880*m + 45414 = 0 for m. 58 Solve 29*q + 1084 + 954 + 202 = -3*q for q. -70 Solve 83*p - 281 - 578 = 1382 for p. 27 Solve 1000*c - 685 + 6685 = 0 for c. -6 Solve -77*b + 84*b - 142 - 34 - 671 = 0 for b. 121 Solve -316*c + 159408 + 422994 = 4838*c for c. 113 Solve 529*p - 45*p + 522381 = 2054*p + 2243*p for p. 137 Solve 1125 = -217*s + 269*s + 3569 for s. -47 Solve 253140*d - 253118*d + 572 = 0 for d. -26 Solve -876 = 21908*m - 22200*m for m. 3 Solve 2209*t + 25837 = -111121 for t. -62 Solve 0 = 455426*z - 456482*z + 126720 for z. 120 Solve 5002*p + 38109 = 55902 + 207297 for p. 45 Solve -163*t + 19012 - 1474 = -133*t + 192*t for t. 79 Solve 174882 = 102*i + 182736 for i. -77 Solve 10263*n + 120585 - 484897 = -1489*n for n. 31 Solve 560*n + 1977 = -452 - 586 + 215 for n. -5 Solve 1427 = 203*i - 750*i - 20902 - 16508 for i. -71 Solve 1160*u - 6429*u + 47115 = -105686 for u. 29 Solve 50*b - 2630 - 921 = -1951 for b. 32 Solve 105*f + 13670 - 5033 - 447 = 0 for f. -78 Solve -685*g - 224*g = -174*g + 9991 + 15734 for g. -35 Solve 54*j + 4*j + 74356 - 71224 = 0 for j. -54 Solve 21*u + 768 = -2*u + 745 for u. -1 Solve -1948*p = -6445*p + 19870 + 16106 for p. 8 Solve 2818*x - 45066 = -16105 + 114757 for x. 51 Solve -96*f - 98*f + 30 = -225*f - 1 for f. -1 Solve 6667 + 2168 = 93*t for t. 95 Solve -61*m + 450 - 586 = 1344 + 2363 for m. -63 Solve 128*c + 1246 + 2119 + 785 = -2378 for c. -51 Solve -107*s - 74*s - 17457 = -7*s + 79*s for s. -69 Solve -8764*a + 943*a + 162592 = -228458 for a. 50 Solve 2385*z + 553584 = -546*z - 8602*z for z. -48 Solve 0 = -826*p + 3037 - 4017 - 5628 for p. -8 Solve 172*f - 14072 - 12553 = -515 - 5814 for f. 118 Solve -48*t = -43*t - 792 + 682 for t. 22 Solve -1173*n = 2495*n - 62356 for n. 17 Solve 0 = -2696*y + 6868*y - 287868 for y. 69 Solve 24*z + 1104 = 384 - 933 + 357 for z. -54 Solve 273 = -447*p + 5637 for p. 12 Solve -146 = -495*u - 307*u + 294*u + 2394 for u. 5 Solve -10525 = -23079*y + 23500*y for y. -25 Solve 10052*l - 662*l = 309567 + 47253 for l. 38 Solve 9881 = -275*y - 385*y + 552*y + 3617 for y. -58 Solve -187*n = 4710 + 339 for n. -27 Solve 1694*y - 346 - 38616 = 0 for y. 23 Solve 791 + 518449 = 4327*l for l. 120 Solve -10993*x + 11041*x = -1716 - 3996 for x. -119 Solve 3348*a + 27308 = -213748 for a. -72 Solve 8*a = -846173 + 845669 for a. -63 Solve 57*j + 104*j = 98*j - 2205 for j. -35 Solve 0 = 22571*m - 22504*m - 536 for m. 8 Solve 0 = 155*k - 380*k + 10941 + 11109 for k. 98 Solve -1546282*n + 117 = -1546273*n for n. 13 Solve -108749 = -13480*a - 984949 for a. -65 Solve -572*y - 578*y = 578*y
{ "pile_set_name": "DM Mathematics" }
ked without replacement from hhghiwhyllhwlhw? 1/35 Two letters picked without replacement from {t: 5, b: 3, x: 2, w: 2}. Give prob of picking 1 w and 1 b. 1/11 What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 1, p: 1, w: 1, v: 1, k: 1}? 1/10 What is prob of picking 4 r when four letters picked without replacement from xrrrxrrrxr? 1/6 What is prob of picking 1 r and 2 o when three letters picked without replacement from {o: 4, w: 2, n: 7, r: 1, u: 3}? 3/340 What is prob of picking 2 q and 2 c when four letters picked without replacement from {c: 11, e: 7, q: 2}? 11/969 Two letters picked without replacement from {f: 3, b: 3, g: 12}. Give prob of picking 1 f and 1 g. 4/17 Calculate prob of picking 1 q and 1 s when two letters picked without replacement from nnsqnqqn. 3/28 What is prob of picking 1 e, 1 x, 1 t, and 1 n when four letters picked without replacement from {t: 2, n: 2, x: 1, e: 1}? 4/15 Two letters picked without replacement from npnxpv. Give prob of picking 2 n. 1/15 Four letters picked without replacement from {e: 3, b: 5}. Give prob of picking 1 b and 3 e. 1/14 Two letters picked without replacement from qgbqqbdgggdbqb. Give prob of picking 1 g and 1 b. 16/91 Three letters picked without replacement from wwwwbbbwwwbbbwwbwww. What is prob of picking 1 b and 2 w? 154/323 What is prob of picking 1 h and 1 r when two letters picked without replacement from {x: 2, h: 2, r: 1, e: 6, g: 4}? 2/105 Calculate prob of picking 2 j when two letters picked without replacement from {y: 2, j: 6, m: 7}. 1/7 Four letters picked without replacement from {z: 1, s: 1, u: 4, d: 1, k: 5}. What is prob of picking 3 u and 1 z? 4/495 Three letters picked without replacement from {j: 5, s: 3, d: 1, k: 1, t: 1}. Give prob of picking 1 s, 1 t, and 1 d. 1/55 Three letters picked without replacement from buoiucb. Give prob of picking 1 c and 2 u. 1/35 Calculate prob of picking 2 z and 1 d when three letters picked without replacement from tbbsssdebzdzbtddtzzs. 2/95 What is prob of picking 2 q and 1 z when three letters picked without replacement from {x: 1, i: 1, z: 1, q: 5, f: 3, d: 1}? 1/22 Two letters picked without replacement from {j: 4, k: 6, c: 5}. What is prob of picking 2 k? 1/7 Two letters picked without replacement from bbbiiibibababbiiib. Give prob of picking 1 i and 1 b. 7/17 What is prob of picking 3 i when three letters picked without replacement from nnnqnqininnqnnnninn? 1/969 Two letters picked without replacement from bnahvbm. What is prob of picking 1 b and 1 m? 2/21 Three letters picked without replacement from ffxwxwffxffwf. Give prob of picking 2 w and 1 f. 21/286 Three letters picked without replacement from mnnnmnnnnnnmnnnnnn. What is prob of picking 3 m? 1/816 What is prob of picking 2 u and 1 f when three letters picked without replacement from {u: 3, f: 2}? 3/5 Two letters picked without replacement from {l: 1, h: 1, w: 14}. Give prob of picking 2 w. 91/120 Four letters picked without replacement from {o: 2, n: 3, h: 1, u: 1, q: 3, s: 1}. Give prob of picking 3 q and 1 o. 1/165 What is prob of picking 1 o, 1 w, and 1 p when three letters picked without replacement from soowowpvppwpsprwpp? 7/68 Two letters picked without replacement from {r: 2, j: 1, y: 1, g: 2}. Give prob of picking 1 g and 1 y. 2/15 What is prob of picking 2 k, 1 f, and 1 q when four letters picked without replacement from {f: 2, q: 1, g: 9, r: 1, j: 2, k: 3}? 1/510 Four letters picked without replacement from {p: 4, c: 3, e: 13}. What is prob of picking 2 p, 1 e, and 1 c? 78/1615 Four letters picked without replacement from yemyyeyeymemmyye. Give prob of picking 1 e and 3 y. 5/52 Two letters picked without replacement from zvqzvyyvzqz. Give prob of picking 1 q and 1 v. 6/55 Two letters picked without replacement from uxufuhuhxm. Give prob of picking 1 f and 1 x. 2/45 Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, j: 1}. 3/4 What is prob of picking 2 s, 1 j, and 1 f when four letters picked without replacement from rsjrjsfjjjjjjjjj? 11/1820 Calculate prob of picking 1 n and 1 j when two letters picked without replacement from cjnnncwcnwwwjjnnc. 9/68 Calculate prob of picking 3 g when three letters picked without replacement from geggguggy. 5/21 What is prob of picking 1 c, 1 k, and 1 t when three letters picked without replacement from ykbhtct? 2/35 Calculate prob of picking 3 p when three letters picked without replacement from ppprppree. 5/42 What is prob of picking 2 z and 1 h when three letters picked without replacement from hkhihkiitrizikkrhhzr? 1/228 What is prob of picking 1 g and 3 d when four letters picked without replacement from gddgdggggggdggggggg? 5/323 What is prob of picking 1 t and 1 m when two letters picked without replacement from mttttttmmtttttt? 12/35 Calculate prob of picking 2 n when two letters picked without replacement from ixninittnqqxtxiiii. 1/51 Two letters picked without replacement from rwcbepwcb. Give prob of picking 1 p and 1 r. 1/36 What is prob of picking 1 m and 1 z when two letters picked without replacement from {j: 5, q: 1, m: 1, y: 3, z: 10}? 1/19 Two letters picked without replacement from {i: 2, p: 1, z: 1, a: 2, v: 2, e: 1}. What is prob of picking 1 e and 1 p? 1/36 Four letters picked without replacement from ddddkkrddkrkrkrkk. What is prob of picking 3 d and 1 k? 1/17 What is prob of picking 3 e and 1 x when four letters picked without replacement from xexehehheheh? 4/99 Four letters picked without replacement from {f: 8, a: 2}. Give prob of picking 2 f and 2 a. 2/15 Two letters picked without replacement from {x: 3, f: 4, r: 2}. Give prob of picking 1 f and 1 x. 1/3 Two letters picked without replacement from gfnkh. Give prob of picking 2 h. 0 Two letters picked without replacement from effciiwfcf. What is prob of picking 2 c? 1/45 What is prob of picking 4 l when four letters picked without replacement from {y: 7, l: 4}? 1/330 Calculate prob of picking 3 k when three letters picked without replacement from ggkgkk. 1/20 Four letters picked without replacement from hjfhjjjjvjdjhjhd. What is prob of picking 2 h, 1 v, and 1 d? 3/455 Calculate prob of picking 1 z and 1 p when two letters picked without replacement from yvpyyzz. 2/21 Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, y: 17}. 1/171 Three letters picked without replacement from rrrrr. Give prob of picking 3 r. 1 What is prob of picking 3 s when three letters picked without replacement from wsssssswswsswsssssss? 28/57 Four letters picked without replacement from xxxgxfgeegexkge. Give prob of picking 3 x and 1 g. 8/273 What is prob of picking 1 k and 1 g when two letters picked without replacement from kwwwwwgwwwwwwwww? 1/120 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 1, y: 1, m: 1, h: 1, n: 1}. 1/10 Calculate prob of picking 2 q when two letters picked without replacement from qqqqqvqvq. 7/12 Two letters picked without replacement from {h: 3, k: 2, d: 12, f: 1, s: 1}. What is prob of picking 2 k? 1/171 What is prob of picking 1 w and 1 z when two letters picked without replacement from mzmkwmzwwc? 2/15 Four letters picked without replacement from {k: 2, y: 3, m: 5, j: 9}. What is prob of picking 2 m and 2 j? 30/323 Calculate prob of picking 2 x and 1 s when three letters picked without replacement from sssssrrxxrss. 7/220 Three letters picked without replacement from icccgiggiiciiiggg. Give prob of picking 1 g and 2 i. 63/340 Two letters picked without replacement from emamxmewmhem. What is prob of picking 1 h and 1 a? 1/66 What is prob of picking 1 y and 2 l when three letters picked without replacement from {l: 3, y: 2, f: 3}? 3/28 Two letters picked without replacement from vloelmr. What is prob of picking 1 l and 1 r? 2/21 Two letters picked without replacement from ccbbcbbgbvvbbc. What is prob of picking 1 g and 1 v? 2/91 What is prob of picking 1 u and 1 b when two letters picked without replacement from bwbbbbbqbqqwubqq? 1/15 Three letters picked without replacement from uddddud. Give prob of picking 2 d and 1 u. 4/7 Four letters picked without replacement from fffgfgfgfgggfg. Give prob of p
{ "pile_set_name": "DM Mathematics" }
b, r? b Let u = -298.4 + -4.6. Let h = 302.8 + u. What is the smallest value in -1/12, -0.4, h? -0.4 Suppose -3*m + 322 = -152. Let n = 176 - m. What is the biggest value in n, 3, 2/3? n Let o = -50/33 - -719/627. Let m = 85/76 + o. Which is the biggest value? (a) 9 (b) 0.1 (c) 2/3 (d) m a Let d be (((-10)/24)/5)/((-68)/(-102)). What is the third biggest value in d, 9, 27, 0.2? 0.2 Let l = -3241 + 3240.7. Which is the second biggest value? (a) 1/5 (b) l (c) 3 (d) 2/19 (e) -76 a Let m be 8*(-1 - -15 - -4). Let y be (-96)/m - (-2)/4. Let f = 0.5 + -0.5. Which is the second biggest value? (a) 2/11 (b) 3 (c) y (d) f a Let t = -18978 + 18977.95. Which is the second biggest value? (a) -64 (b) 5 (c) 1 (d) t c Suppose 24 = 701*h - 700*h. Let d be (-90)/(-198)*h/10. Let u = 7 - 2. What is the biggest value in 3, d, u? u Let s = -578.3 - -577.9. Which is the smallest value? (a) 5/4 (b) -2/9 (c) 1 (d) -0.3 (e) s e Let f = -2990 + 2987. Let n be ((-2)/(-3))/(1 + 7/(-3)). Which is the biggest value? (a) n (b) 0.3 (c) f (d) 0.7 d Let k = -370 + 370.1. Let p = 21.4 + -25.32. Let v = p + -0.08. Which is the biggest value? (a) v (b) 5 (c) k b Let a = -0.2 - -0.16. Let i = -7.4874 + 7.4874. What is the biggest value in i, 2/3, 1, a? 1 Suppose -g - 94 = 4. Let f = g + 98. What is the third smallest value in 0.1, f, -3? 0.1 Let p be (24 + -22)*3/(-30). Suppose 3*g - 12 = -g. Let q be (2/(-7 + g))/1. Which is the smallest value? (a) 0.3 (b) -3 (c) p (d) q b Let c = -3178 + 3179. What is the second biggest value in -2/19, c, 139? c Let h = -7.8 - -4.8. Let u(v) = v**2 - 15*v - 41. Let k be u(20). Let q = -64 + k. What is the third smallest value in q, h, 3/5? 3/5 Let k be 8/(-52)*1 - 16568/(-104481). Which is the third biggest value? (a) k (b) -3/4 (c) 0.2 b Let y = -364 + 337. Let n = 1518 - 1518.5. What is the smallest value in 0.2, 2/3, y, n? y Let l = 17202940 + -4231899349/246. Let u = l - 583/6. Which is the third smallest value? (a) u (b) -1 (c) -2 (d) -4 b Let d = 79.6 - 77.6. Let i = -11.4 + 10. Let t = i + -0.1. What is the biggest value in 0.5, d, t? d Let u = 6 + -3. Let r be 2/(-6) - 502/(-12). Let s = r + -42. Which is the third smallest value? (a) 5 (b) u (c) s (d) 2 b Let g = 0.017 - 38.017. Let m = 39.1 + g. Let o = 0.8 - m. What is the second biggest value in 0.5, -1.2, o? o Let c = 1392/5 + -15302/55. What is the fourth smallest value in -1, -3/7, 1, c? 1 Let u = -31753 - -31612. Which is the third smallest value? (a) u (b) 0.1 (c) -4/3 b Suppose 266*s + 5 = 267*s. What is the fourth biggest value in -1/5, -27, s, 4, -2/33? -1/5 Let o = 335 + -367.1. Let y = o + 33. Let j = -1.4 + y. What is the third biggest value in 1/5, -4, 4, j? j Let p = 91.22 + -93. Let a = p - 0.22. Suppose 3*h + 9 = y + y, 4*y + 32 = -4*h. What is the biggest value in 3, h, a? 3 Let z be ((-3)/6)/(-1)*0. Let y = -0.5 - -3.1. Let q = y + -5.6. Which is the smallest value? (a) q (b) -7 (c) z b Suppose -21*l + 116*l + 30*l - 415 = 42*l. Let t = -0.25 + 0.3. Which is the smallest value? (a) t (b) -0.8 (c) l (d) 4 b Let n = -1/3495 + -6983/24465. What is the second biggest value in -1, 16, n, 3, -7/2? 3 Let h = 1562.186 - 1558. Let t = h - 0.186. What is the second smallest value in t, -1/50, -0.1? -1/50 Let q = 0.223 - 11.123. Let u = q - -8.9. Let s = -0.135 - -0.171. What is the smallest value in s, 0.1, u? u Suppose 5*p - 5*r = 30, 4*r + 7 = -4*p - 1. Suppose 69*n - 165*n = -51*n - 495. Which is the fourth smallest value? (a) -0.4 (b) -3 (c) n (d) p c Let n(w) = -21*w + 24. Let q be n(1). Let s be (-1*(-17)/q)/((-1)/3). Which is the second smallest value? (a) 4/3 (b) 0 (c) s (d) 0.5 b Let u = 6568 - 6568.5. Which is the fifth biggest value? (a) u (b) -38 (c) 3/4 (d) -0.2 (e) 3 b Let y = -1 + 0.97. Let h = 5.73 - 94.93. Let g = h + 89. Which is the biggest value? (a) g (b) 2/9 (c) y b Let t be 12*(-2 + (-15)/(-20)). Let z be 1/12*40/t. Let y = 1.28 + 3.72. Which is the second biggest value? (a) y (b) 0 (c) z b Let k = 4.4 - 4.393. Let g = 37.007 - k. Let z = -40 + g. Which is the third smallest value? (a) 3 (b) z (c) -2 (d) -0.5 d Let o = 3959 + -11894/3. Which is the smallest value? (a) -2 (b) 3/2 (c) o c Let x = -5813/28 - -1448/7. What is the smallest value in -0.4, -14.17, x? -14.17 Suppose 3*v = -g - 11 - 7, -2*v - 4*g - 32 = 0. Which is the fourth smallest value? (a) -3/4 (b) 3/7 (c) 16 (d) v c Let n = 0.0369 + -309.0369. Let g = 330 + n. Which is the third smallest value? (a) g (b) -1/7 (c) 0.1 (d) -2/7 c Let u = -3914 + 3918. What is the third smallest value in u, -1/14, -3/4? u Let u(c) = 4*c**2 - 69*c - 55. Let b be u(18). What is the third smallest value in 2.6, -5, b? 2.6 Let g be (-7 + 6)*(-1 + -2). Suppose 57*i - 11 = 53*i - g*v, 2*i + 2*v = 4. What is the smallest value in -2, -13/4, i? -13/4 Let o = 13158 + -13158.2. Which is the smallest value? (a) o (b) 19 (c) -0.14 (d) -1 d Let s = 178674 - 178675. Let w = 55 + -37. What is the second biggest value in s, 1, -2, w? 1 Let j = 0.4 + 0.1. Let g = 0.8 - j. Let q = -6.80098 + 1.80098. What is the biggest value in q, g, 4? 4 Let f = -4036/35 + 578/5. Which is the biggest value? (a) 41.5 (b) f (c) -3/7 a Let r = 134 - -5. Let g = 975/7 - r. Let y = 0.4 - 1. Which is the second smallest value? (a) y (b) g (c) 0.4 b Let h(y) = y - 19. Let g be h(23). Let s(o) = o**2 + 2*o - 6. Let z be s(-3). Which is the fourth biggest value? (a) g (b) 9 (c) z (d) 1 c Suppose -5*n - 5*q = -2565, -61 = 3*n - 3*q - 1582. Let l = n + -508. Which is the third biggest value? (a) -0.3 (b) l (c) -66 c Suppose -3*q + o + 0 = 18, 4*q + 3*o = -37. Let l be (-9)/7 - 2/q. Let d = 194 + -2524/13. What is the third smallest value in l, -4/7, d? d Let m = 1263 - 1246. What is the third smallest value in 0, -0.3, m, -1/3, -5? -0.3 Let y(r) = r**3 + r + 4. Let z be y(0). Let t be -3 - (-3 - (-6)/z). Suppose 26*n + 27*n = 22*n. Which is the smallest value? (a) t (b) n (c) -3 (d) 0.1 c Let z be (-32)/462*4 + 2/11. Let k(x) = -3*x + 2. Let t be k(1). Suppose 0 = -57*l + 52*l - 25. What is the third smallest value in z, t, l? z Let p = -6 + 4.7. Let t = p + 1.3. Let s be ((-154)/144)/(-11) - (-5)/40. What is the third biggest value in 0.3, s, t? t Let z = -84/205 + 998/1435. What is the second biggest value in z, 0.2, 42/5? z Let a = 0.06946 + -5.06946. What is the biggest value in 1, a, -2/17, -2/15, 90? 90 Let j = 81.84 - 82. Let v = -0.19 - j. Which is the third biggest value? (a) 0.2 (b) 1 (c) v c Let o(j) = 35*j - 32*j - 12*j + j**2 + 7. Let h be o(6). Which is the second smallest value? (a) -1/2 (b) h (c) -2 c Let u = -0.465 - -0.36. Let t = -2543.005 + 2543. Let v = t - u. Which is the second biggest value? (a) 10 (b) 2 (c) v b Let r = 26.5 + 15.5. Let k = -40 + r. What is the third biggest value in -2/5, k, -3/2, -1/5? -2/5 Let t be (-1521)/(-65)*195/18. Let u = -253 + t. Let g = 0 + 0.4. Which is the second biggest value? (a) u (b) -13 (c) g (d) 3 a Let t be 9/6*1/(-15). Let g = 0.006 + 1.994. Let v = 215 - 220. Which is the third smallest value? (a) 5 (b) g (c) v (d) t b Let c = 0.13359 + -9.63359. What is the third smallest value in c, 5, 3, -0.5? 3 Let v be ((-14)/(-12))/(2044/584). What is the fourth smallest value in -1, 1, -2.1, v, 3/5? 3/5 Let r = 353.1 + 94.9. Let s = -435 + r. What is the second smallest value in s, -0.1, 0? 0 Suppose 936*g - 14116 = -15988. Let a = -6 - -3. What is the third biggest value in g, -3/2, a? a Let d = -41.78 - -42.805. Which is the smallest value? (a) 4 (b) -0.3 (c) d b Let s = -22 + 11. Let f = s + 8. Suppose 19 = 32*v - 55 - 22. Which is the biggest value? (a) v (b) -1 (c) f a Let v = -17.2 + 0.2. Let f = 4.1123 - 1.1123. Which is the fourth biggest value? (a) f (b) -3 (c) -1/4 (d) v d Let o = 2.97 - 3. Let l(z) = -z**3 - 72*z**2 - 244*z + 1912. Let r be l(-68). Which is the third smallest value? (a) o (b) -5 (c) r c Let f = -12717.08 + -124.92. What is the second smallest value in f, 3, -3? -3 Suppose 0 = 467*k - 1540 - 543 + 682. Let t = 0.04 - -0.36. Let v = t + -0.4. Which is the second smallest value? (a) k (b) v (c) 0.1 c Let n = 5881/23588 + 4/5897.
{ "pile_set_name": "DM Mathematics" }
culate o(s(m)). 6*m**2 Let r(b) be the second derivative of -5*b**3/6 + 6*b. Let s(y) = -2*y. Calculate r(s(j)). 10*j Let o(t) = -t**3 - 13*t**2 + 2. Let h be o(-13). Let l(x) = -7*x + 3*x**h - x**2 + 7*x. Let u(z) be the first derivative of -2*z**3/3 + 1. Give u(l(b)). -8*b**4 Let z(l) = -l + 2*l + 4*l - 2*l. Let h(q) = 9 - 9 - 4*q + 5*q. Give h(z(v)). 3*v Let b(p) = 4*p**2 - p**2 + 0*p**2 + 0*p**2. Let t(d) = 9*d. Calculate b(t(w)). 243*w**2 Let x(h) = -22*h**2. Let q(z) = -z**2 + 4*z**2 - 5*z**2. What is q(x(k))? -968*k**4 Let u(p) be the second derivative of p**3/6 - 9*p. Let w(b) = 4*b. Calculate u(w(c)). 4*c Let n(u) = -70*u - 1. Let q(c) = 28*c**2. Calculate q(n(o)). 137200*o**2 + 3920*o + 28 Let a(q) = -8*q**2 - 17. Let k(y) = 3*y**2 + 6. Let m(j) = 6*a(j) + 17*k(j). Let d(x) = 3*x. Determine m(d(z)). 27*z**2 Let q be (1 - (-2)/(-1))*-2. Suppose -2*o - 2*y = -y - 3, 4*o - 41 = 5*y. Let k(w) = 3*w**2 - o*w**q + 6*w**2 - 2*w**2. Let b(f) = -f. Calculate k(b(a)). 3*a**2 Let v(k) = 7*k. Let x(n) = 8*n**2. What is x(v(c))? 392*c**2 Let o(k) = 51*k. Let p(a) = 13*a**2. Give p(o(j)). 33813*j**2 Suppose 0*i = 3*i - 3. Let m(u) = -i + 3*u - 4*u + 1. Let r(q) = -3*q. Give r(m(v)). 3*v Let m(k) = k + 0*k + k. Let c(o) = -9*o**2. Let z be c(-1). Let b(r) = -11*r**2. Let i(j) = -5*j**2. Let w(a) = z*i(a) + 4*b(a). Determine m(w(s)). 2*s**2 Let a(l) = 20*l**2. Let c(w) = -7*w**2. Let i(k) = -4*a(k) - 11*c(k). Let u(b) = -2*b. Give i(u(t)). -12*t**2 Let h(p) = -p**2. Let z(l) be the second derivative of l**3/3 + 9*l. Determine h(z(m)). -4*m**2 Let p(v) = 4*v. Let z(x) = x. Let k(f) = p(f) - 2*z(f). Let i(a) = 7*a + 6. Let t(c) = -8*c - 7. Let q(o) = -7*i(o) - 6*t(o). What is k(q(g))? -2*g Let p(i) = -5*i. Let v(l) be the first derivative of -8 + 0*l + 0*l**2 - 2/3*l**3. What is v(p(q))? -50*q**2 Let t(q) = -16*q**2. Let y(p) = -p. Calculate y(t(k)). 16*k**2 Let n(g) = -4*g**2. Let r(s) = -15*s**2 + 5*s. Let l(d) = 44*d**2 - 14*d. Let t(o) = 5*l(o) + 14*r(o). Calculate t(n(a)). 160*a**4 Let a(m) = m. Let h(i) = 12*i. Let p(j) = 10*a(j) - h(j). Let y(n) = -4*n + 6 - 8 + 2. Determine p(y(t)). 8*t Let m(b) = -b. Let d(g) = g + 25692. Determine m(d(z)). -z - 25692 Let g(w) = 3*w**2 + 3*w - 379. Let i(f) = -2*f**2. What is g(i(q))? 12*q**4 - 6*q**2 - 379 Let s(q) = 43*q. Let w(z) = z + 1. Determine s(w(b)). 43*b + 43 Let k(v) = -v + 3. Let w(m) be the second derivative of -2*m + 1/6*m**3 - m**2 + 0. Let a(s) = -2*k(s) - 3*w(s). Let x(i) = -3*i. Determine a(x(n)). 3*n Let g(i) = -4*i**2. Let r(n) = 172*n**2 + 2*n. Determine r(g(b)). 2752*b**4 - 8*b**2 Let j(p) = -64*p**2 - 20*p - 20. Let k(d) = -9*d**2 - 3*d - 3. Let o(r) = 3*j(r) - 20*k(r). Let b(c) = 2*c. What is b(o(n))? -24*n**2 Let u(p) = 3*p - 4. Let y = -21 - -14. Let t(j) = -5*j + 7. Let l(s) = y*u(s) - 4*t(s). Let r(a) be the first derivative of 2*a**2 - 7. What is l(r(k))? -4*k Let v(q) be the third derivative of 5*q**4/8 + 2*q**3/3 - q**2. Let j(z) = -31*z - 9. Let p(o) = -4*j(o) - 9*v(o). Let i(b) = -2*b. Determine i(p(n)). 22*n Let h(g) be the second derivative of g**3/3 - g. Let r(x) be the second derivative of x**4/3 + 3*x. Determine h(r(n)). 8*n**2 Let q(i) = 30*i**2 - 34*i**2 + 1 - 1. Let t(l) = 9*l. Give q(t(z)). -324*z**2 Let y(x) = 7*x. Let k(w) = 10*w**2 + 7*w. Let z(c) = -7*c**2 - 5*c. Let p(f) = 5*k(f) + 7*z(f). Calculate y(p(m)). 7*m**2 Let k(z) = 3*z - 4*z + 3*z. Let i(d) = 8*d. Let s(n) = -9*n. Let r = -1 + 7. Let m(x) = r*s(x) + 7*i(x). Calculate k(m(o)). 4*o Let c(l) = 0*l - l + 4*l + 2*l. Let k(x) = -4*x. Calculate c(k(j)). -20*j Let r(o) = o**2 - 5*o**2 + o + 3*o**2. Let m(h) = -8*h**2 + 7*h. Let f be (-45)/2 - (-3)/2. Let i(g) = f*r(g) + 3*m(g). Let z(y) = 2*y**2. What is i(z(u))? -12*u**4 Let g(p) = 4*p**2. Suppose 100 = 2*t + t + 4*j, 3*j = -6. Let d(o) = -36 + 2*o + t. Calculate g(d(k)). 16*k**2 Let x(a) be the third derivative of -a**5/15 - 8*a**2. Let n(z) = -17*z**2. Let j = 2 - 8. Let t(p) = -4*p**2. Let q(l) = j*n(l) + 26*t(l). What is q(x(g))? -32*g**4 Let i(y) = -2*y. Let a(r) be the second derivative of 13*r**4/12 + 8*r. Give i(a(f)). -26*f**2 Let x(q) = 2*q**2. Let n(m) = -m + 1. Let k(c) = -6*c**2 + 6*c - 6. Let s(y) = 5*k(y) + 30*n(y). Determine x(s(o)). 1800*o**4 Let k(c) be the third derivative of 0*c**3 - c**2 - 1/60*c**5 + 0 + 0*c**4 + 0*c. Let g(b) = -4*b - 4*b + 5*b. Calculate g(k(n)). 3*n**2 Let u(x) = -x**2 + 1622. Let q(t) = -t**2. Determine u(q(s)). -s**4 + 1622 Let c(z) = 2*z + 214. Let m(q) = -2*q**2. Determine m(c(s)). -8*s**2 - 1712*s - 91592 Let z = 26 + -19. Let s(w) = 2*w**2 + 7*w - z*w + 0*w. Let y(h) = -5*h**2 - 15*h + 15. Let v(d) = d - 1. Let x(o) = 15*v(o) + y(o). Give s(x(a)). 50*a**4 Let k(m) be the second derivative of -m**3/3 - 17*m. Let u(g) = -8*g**2. Let w(r) = 4*r**2. Let y(f) = 4*u(f) + 7*w(f). Calculate k(y(i)). 8*i**2 Let n(w) be the second derivative of w**4/4 - 3*w. Let k(u) = -u - 3 + 3. Give k(n(d)). -3*d**2 Let d(v) = 130*v + 1. Let m(b) = 21*b. Determine m(d(g)). 2730*g + 21 Let d(h) = -h - 9 + 5*h + h. Let y(r) = -r + 2. Let j(q) = 4*d(q) + 18*y(q). Let u(z) = -6*z. What is u(j(k))? -12*k Let c(v) = -8*v**2. Let d(q) = -5*q**2 - 5*q**2 - 7*q**2 + 18*q**2. What is d(c(g))? 64*g**4 Let i(q) = 120*q. Let y(w) = 11*w. Let n(s) = -3*i(s) + 32*y(s). Let g(x) = 2*x. Calculate n(g(o)). -16*o Let m(b) = -2*b**2. Let g = 7 + -4. Suppose 2*r = 4*r + v - 1, 3*v = -g. Let i(q) = -r + 1 + q**2. What is i(m(f))? 4*f**4 Let p(f) be the third derivative of -f**5/12 - f**2. Let l(m) = 2*m. Let n(u) = u. Let o(x) = l(x) - 4*n(x). Determine p(o(q)). -20*q**2 Let j(a) = 2 - 2 - 4*a**2 + 13*a**2. Let y(x) = x**2. Calculate j(y(c)). 9*c**4 Let f(x) = -4*x + 3. Let v(t) = 2 - 2*t + 0 - t. Let s(u) = -2*f(u) + 3*v(u). Let z(c) = 2*c + 3 - 3 + 0. Calculate s(z(p)). -2*p Let n(z) = -2*z**2. Let x(o) = -2*o + 3*o**2 - 2 + 2*o + 0*o. Let w(h) = h**2 - 1. Let b(f) = -2*w(f) + x(f). Calculate n(b(v)). -2*v**4 Let j(o) = -3*o**2. Let d(g) = 347*g - 2. Calculate j(d(y)). -361227*y**2 + 4164*y - 12 Let r(a) = -50*a**2. Let i(c) = 32*c. Calculate i(r(s)). -1600*s**2 Let r(o) = -6*o. Let t(c) = -c - 1. Let q(g) = 4*g**2 + 4*g + 4. Let b(l) = q(l) + 4*t(l). Calculate b(r(v)). 144*v**2 Let t(z) = z**2. Let r(m) = 6302*m. Calculate r(t(l)). 6302*l**2 Let z(k) be the second derivative of k**7/2520 + k**4/4 + 2*k. Let t(c) be the third derivative of z(c). Let y(x) = -x**2. Give y(t(m)). -m**4 Let g(v) = 2*v**2 + 266*v + 2. Let d(b) = -2*b. What is d(g(r))? -4*r**2 - 532*r - 4 Let i(t) = 9*t. Let f(u) be the first derivative of -2*u**3/3 - 3. What is f(i(j))? -162*j**2 Let l(s) = -s. Let v(w) = -37*w. Give v(l(j)). 37*j Let i(s) = 13*s**2. Let n(d) = 4*d**2 - 7*d + 7. Let w(j) = 3*j**2 - 6*j + 6. Let y(a) = 6*n(a) - 7*w(a). Calculate y(i(x)). 507*x**4 Let o(p) be the second derivative of -p**4/6 - 6*p. Let q(a) = -7*a. Determine q(o(n)). 14*n**2 Let r(g) be the third derivative of -g**5/12 - 16*g**2. Let y(m) = -3*m**2. Calculate y(r(s)). -75*s**4 Let v(r) = 2*r. Let k(b) = -78*b + 42*b + 38*b - 20*b**2. Give k(v(x)). -80*x**2 + 4*x Let o(c) = 8*c**2. Let r(p) = p**2 - 6*p + 6. Let f(q) = -q**2 + 5*q - 5. Let d(m) = 6*f(m) + 5*r(m). What is d(o(w))? -64*w**4 Let x(l) be the third derivative of l**5/60 + l**2. Suppose 0 = -6*r + 5*r + 2. Let m(y) = 3*y**2 - y**r - 3*y**2. Give m(x(g)). -g**4 Let f(d) = -2*d - 3*d + 7*d. Let p(m) = m**2. Calculate f(p(j)). 2*j**2 Let h(n) = -2*n. Let s be (-3 - -7)*(-1)/2. Let k be (-2)/(2/(-9)) + 0. Let d(b) = -13*b - 9. Let c(m) = -3*m - 2. Let v(q) = k*c(q) + s*d(q). Give v(h(l)). 2*l Suppose 0 = -3*z + 18 - 6. Let v(h) = -h + h - z*h**2 + 0*h. Let m(l) = l**2. Give m(v(g)). 16*g**4 Let n = -4 + 5. Let i(x) = x + 1. Let d(a) = 8*a + 10. Let k(j) = n*d(j) - 10*i(j). Let l(w) = w**2. What is l(k(q))? 4*q**2 Let d(v) = -2*v**2. Let a(m) = -99*m + 2. Determine d(a(g)). -19602*g**2 + 792*g - 8 Let d(t) = t**2. Let m(q) = -2718*q. Calculate m(d(o)). -2718*o**2 Let c(k) = 6*k. Let d(p) = -13*p**2 + 3. Give c(d(j)). -78*j**2 + 18 Let h(z) = 2*z. Let i(g) = -17389*g. Calculate h(i(b)). -34778*b Let v(p) = 2*p**2. Let y(i) = -2*i**2 + 49*i. Determine v(y(q)). 8*q**4 - 392*q**3 + 4802*q**2 Let q(c) = -5*c. Let v(b) be the second derivat
{ "pile_set_name": "DM Mathematics" }
-0.1 in o, 1, b? b Let z = -75/2 - -40. Let t be (45/6)/15*6/9. Which is the closest to -0.2? (a) z (b) 4/5 (c) t c Let l = 10.18 + -12.18. What is the nearest to 4 in -0.5, l, -5? -0.5 Let t be 6*(5 + 77/(-14)). Which is the nearest to 1? (a) 2 (b) t (c) -12 a Let q be -2*((-12)/(-8) - (1 - 1)). What is the nearest to -16 in q, 1, 0.3? q Let u = 2 + -5. Let g be 11/3 + (-4)/6. Let m = -222.1 + 222. What is the nearest to m in u, -4, g? u Let x = -15317 + 15315. Let n = 6 - 11. What is the closest to -0.1 in x, n, -4? x Let l = -1 + 1.1. Let o = -657 - -657.9. What is the closest to l in -0.4, 2/11, o? 2/11 Let i = -25.5 + 26. Let x = -2 + 3. Let q = 2.5 - 2.9. Which is the closest to 0? (a) x (b) q (c) i b Let n = 11.9978 + 0.0022. What is the closest to 3/4 in n, 3, 5? 3 Let j = 13.33 + -1.13. Let y = 10.2 + 1.8. Let w = j - y. What is the closest to -1 in 0.5, -0.3, w? -0.3 Let j = 4.5 + -4. Let l = 1.98 - -0.02. Let p = -1316 - -1316. Which is the nearest to j? (a) p (b) l (c) -2/11 a Let l = -0.759 + 0.959. Which is the closest to -3? (a) 16 (b) l (c) -5 c Let s be (-420)/126 + 6 + -2. Let w be 24/(-35) + 4/10. What is the closest to -2 in w, 2, s? w Suppose -6*u - 4*j = -4*u + 32, 2*u = -j - 35. Let t be ((-9)/24)/(u/(-12)). Which is the closest to t? (a) -0.06 (b) -3 (c) 2/7 a Let c = 0.45 + 0.15. Let g = c - 0.1. Let t = 0 - g. What is the nearest to -1 in -0.3, t, 1/6? t Let h = -1.21 + 1.51. Suppose -2 = -o - 5. Let p = -2.5 + 0.5. What is the closest to -2 in o, p, h? p Let d = -441 + 440. Let h = -1046/55 - -96/5. Which is the closest to d? (a) 3 (b) h (c) -15 b Let v = 4.5 - 5.5. Let f = 8.4 - 3.4. What is the nearest to v in -5, f, 2/5? 2/5 Let v = 11.61 + 0.89. Let c = 0.26 - -11.74. Let b = c - v. What is the closest to -2 in b, -3, 2/7? -3 Let l(m) = -m**2 + 3*m + 2. Let d be -1 + 9 + -5 - (1 + 0). Let n be l(d). What is the closest to -3 in n, 3, -2? -2 Let n = 218/9 - 24. What is the closest to -0.3 in -6, n, -5? n Let n = -1 + 0.8. Let i = 0.08 + -4.08. Suppose 0 = 2*h - 5*y - 1, y = h - y. Which is the nearest to h? (a) i (b) n (c) -0.5 c Let u = 0.0327 + -0.2327. What is the nearest to 2 in u, -0.02, 0.3? 0.3 Let d be (3/6)/(54/(-24)). Suppose 0 = 62*k - 52*k + 140. What is the nearest to k in d, 1, -0.4? -0.4 Let k be (-8)/(-15) - 1/3. Let q = 6 + -8. Let i be 2/(-18)*q*-3. Which is the closest to k? (a) 1 (b) i (c) -1 a Suppose -4*t + 17 = -q - 9*t, 4*q = -t + 8. Suppose 7 + 5 = q*b. What is the nearest to 0.11 in 3, 0.5, b? 0.5 Let q = 243 - 238. Which is the closest to -2? (a) -2/3 (b) q (c) 3 a Let w = -39/34 - -28/17. Which is the closest to 0.1? (a) w (b) 1 (c) -5 a Let j be (-1)/10*(3 + -1). Let t = 11.507 + -11.507. Which is the nearest to -1? (a) t (b) j (c) -1/4 c Let v = -0.285 - -1.285. Which is the nearest to 2/7? (a) 5 (b) 0.1 (c) v b Suppose 3*q + 88 - 73 = 0. Let s = 55 - 57. What is the closest to 3/2 in s, q, -0.5? -0.5 Let p = 0.37 - -0.03. Let g = -17 - -19. Let r = -2.01 + g. Which is the nearest to r? (a) -4 (b) p (c) 3 b Let w = 29 - 18. Let h = -10 + 19. Let u = h - w. Which is the closest to 1? (a) -2/13 (b) -1/8 (c) u b Let b = 31.96 + 0.04. Let y = -32.1 + b. What is the nearest to y in 2, 5/8, -3/5? -3/5 Let f = 1399.1 + -1399. Which is the nearest to -22? (a) -4 (b) -2 (c) f a Suppose -7*q = -11*q. Suppose q*x + 4*j = -x, 0 = -x - 5*j + 1. Which is the nearest to x? (a) 0.2 (b) 0 (c) -0.5 c Let m = -5.23 - -0.23. Let p = -3247/11 - -295. Which is the nearest to 0? (a) 0.2 (b) m (c) p c Let y = 1.33 + -1.63. Which is the nearest to 1? (a) 0 (b) -0.5 (c) y a Let p = -278 - -276. What is the nearest to -2/3 in p, 3, 2/9? 2/9 Let s be (-2 + 33/15)/(-1). Let d = -25/42 - -2/21. What is the closest to -1 in s, d, -2/7? d Let k = -73.37 - -73. Let r = k + 0.3. Which is the nearest to 2/3? (a) r (b) 0.2 (c) 3/4 c Let r = 369/77 + -59/11. Which is the nearest to -2/31? (a) 0 (b) 3 (c) -16 (d) r a Let v = 38.4 + -38.1. Which is the closest to -29? (a) 2/11 (b) 5 (c) v a Let s = -0.1174 - 0.8826. What is the closest to s in -2/3, -0.4, -3, 5? -2/3 Let z(v) = 2*v**2 + 7*v - 2. Let r be z(-4). Let q be 5/(-30)*(r - 0). Which is the nearest to 0? (a) -3 (b) -0.04 (c) q b Let d = -82063 + 575706/7. Let u = 181 - d. Let z be (-9)/3 + 2 + -1. Which is the nearest to z? (a) -3 (b) -1/3 (c) u a Let y = -52 - -54. What is the closest to -3/4 in -0.3, y, -5? -0.3 Let i be 1 + 0 + 2 + 0. Let j = 569 + -573. Which is the nearest to -1/3? (a) i (b) 0 (c) j b Let o = 16.24 - 15.14. What is the closest to -2/3 in 2, o, -3? o Let z(h) = 8*h**2 - 2*h + 4. Let r be z(2). Let k = -34 + r. Let q = -4/3 - -2/3. Which is the nearest to -0.2? (a) k (b) q (c) -1 b Let c = 258 - 258.4. What is the closest to 0 in 0.2, 1, c? 0.2 Let w be 270/45 - (0 + 50/8). Which is the nearest to 0? (a) w (b) 2 (c) -0.9 a Let j = 1.1 - 0.66. Let x = j + -0.77. Let d = x + -0.07. Which is the closest to 0.1? (a) 3/2 (b) d (c) -0.5 b Let g = 3.1 - 3. Let p = 0.1 + -0.1. Let q = -392 - -396. Which is the closest to p? (a) q (b) g (c) 0.5 b Let q = -11 + 7. Suppose 4*g - 12 = -s - 5, 0 = 4*s + g + 2. Which is the nearest to s? (a) q (b) 1/5 (c) 5 b Let z = 1644 - 1646. Suppose 5*r + 9 + 11 = 0. What is the nearest to z in -3, r, 0.05? -3 Let q = -8502/11 + 773. Which is the nearest to -1/3? (a) 0 (b) q (c) -5 (d) 0.06 a Let y = -30.97 - -31.37. Let l = 0.2 + -0.1. Let z = l - 0.2. What is the nearest to z in y, 3, 0.3? 0.3 Let i be (-8)/(-20)*(-1 + 2). Which is the nearest to -0.8? (a) -2/47 (b) i (c) -0.2 (d) 1/6 c Let w = -366 + 366.2. What is the closest to 2 in w, 2, -17? 2 Let o be 35/(-5) + (-418)/(-57). Suppose -5*z - 14 = 6. What is the nearest to o in -0.1, z, -1/4? -0.1 Let q = -0.0055 + 0.5055. Let h = 10.4 - 10. What is the nearest to -0.3 in h, q, -0.7? -0.7 Let r = 4.977 + 0.023. Which is the nearest to 0? (a) 8 (b) 1 (c) r (d) 0 d Suppose 2*u = s - 0*s - 1, -4*u - 11 = -5*s. Let i = -13 - s. Let r be i/(-20) + 4/(-6). Which is the closest to -0.3? (a) 1/8 (b) 0.1 (c) r b Let b = -8.5 + 8. Suppose 4*j = 5*i - 26, 6*i - i = 10. What is the closest to 0.2 in b, 0.2, j? 0.2 Suppose 327 = 5*x - 528. Suppose -2*i - 86 = 4*o, -4*i = i - o + x. Let j be 28/i*2/(-8). What is the closest to 0.3 in j, 4, 0? j Let n = 2.7 + 0.3. Let f = -0.21 - -0.31. Which is the nearest to 3? (a) f (b) n (c) 0.3 b Let y be (-8)/198 + 2/(-11). Which is the closest to -2/5? (a) -0.3 (b) y (c) -1/14 a Suppose 4 = -2*c - t, -2*t = -3*c - 4 - 9. Let z be c + 6/(-27) + 3. What is the closest to 1 in -5, z, 1/9? 1/9 Let d = -37/3 + 12. Which is the nearest to -3? (a) 0.1 (b) 1/4 (c) d c Let k = -4557 + 41156/9. Suppose 2*o - 5*z - 12 = 0, -5*o - z + 20 = -4*o. Let p = k - o. What is the nearest to -1 in p, -0.2, 2/13? -0.2 Let h = -55 + 51. What is the closest to 0.2 in 9, h, 4? 4 Let v = -30 + 30.05. Let p = v + -0.05. What is the closest to -0.4 in p, -4, 1/2? p Let h = 0.161 - -1.839. Let w = -15 + 14. Which is the nearest to w? (a) 2/13 (b) h (c) -3/2 c Suppose 3*c = 4*y + 4, -3*c = -4*c. Suppose -4*w + s = -19, -7*w - 4*s = -5*w - 14. What is the closest to 0.1 in y, w, 2? y Let t be 7/((-308)/288) + 5. Let s = t + 52/55. Which is the closest to s? (a) 1 (b) 0.3 (c) -1 c Let z = 39 + -38.3. Let s = -0.3 + z. Let d = 0.7 + -0.2. Which is the closest to -0.1? (a) s (b) -5 (c) d a Let v = 7137/5 - 1427. Which is the nearest to 1/3? (a) v (b) -7 (c) -0.4 (d) -1/7 a Let g = 58 + -27. Let r = g - 31.4. Which is the nearest to 3? (a) 0 (b) r (c) 0.1 c Let n = 37.57 + 6.13. Let w = 44 - n. Which is the closest to w? (a) -1/7 (b) -0.2 (c) 1 a Let w = -700.9 - -701. Let q = -0.1 + -0.4. Which is the nearest to 7? (a) q (b) 0.4 (c) w b Let q = -132.6 + 133. Which is the closest to 0? (a) -0.1 (b) -4 (c) q (d) 0.011 d Let k = 273 - 274. Which is the nearest to 4? (a) -0.3 (b) 0.5 (c) 5 (d) k c Let m(q) = -q**3 + 4*q**2 - 3*q + 1. Let u be m(3). Let j = -760 - -754. Which is the nearest to 2/9? (a) 2/15 (b) j (c) u a Let s = -7.062 - -0.062. Let v = -0.2 + 0. Which is the closest to s? (a) 3 (b) v (c) -3 c Let n = -0.8
{ "pile_set_name": "DM Mathematics" }
Let i(l) = -l**2 - 8*l - 7. Let k be i(-7). Suppose k = 7*h - h. Let t(b) be the first derivative of -b**2/2 + 4*b + 1. What is t(h)? 4 Let k(a) = -a**3 - 13*a**2 - 25*a - 7. Let l be k(-11). Let d(r) = -3*r**3 + 4 - 24*r**2 + l*r**2 + r + 4*r**3. What is d(-3)? -8 Let p(j) = j. Let u(g) = -g**3 - 3*g**2 - 3*g - 7. Let n be u(-3). Suppose -4*m + n*b + 3*b = -5, m = -5*b + 20. Determine p(m). 5 Let s(q) = -q**2 + 7*q - 7. Suppose 0 = o - 4*n - 9, 3*n - 7 = -4*o + 10. Determine s(o). 3 Suppose 3*j - 18 = -2*j - 2*z, -2*j + 3*z + 11 = 0. Let x(d) be the second derivative of -1/12*d**4 - 5/2*d**2 + 0 + 4/3*d**3 + 4*d. Determine x(j). 11 Let z(i) = 2*i + 2*i + 0*i + 3 + 0. Let j(m) = 3*m**2 - 6*m + 4. Let p(a) = a**2 - a. Let q(g) = -j(g) + p(g). Let h be q(2). Determine z(h). -5 Let n(d) = 12*d**3 + 2*d**2 + 17. Let w(f) = -7*f**3 - f**2 - 9. Let j(c) = 4*n(c) + 7*w(c). Determine j(2). 1 Let g(m) = -m. Let z(a) = -a**2 + 18*a - 15. Let d be z(17). Suppose d*r + 10*r + 48 = 0. Determine g(r). 4 Suppose 4 = -2*d + 2*g, 3*g = -4 + 13. Let z(l) be the first derivative of -13/4*l**4 + 0*l + 0*l**3 - 1/2*l**2 - 46. What is z(d)? -14 Let g be ((-2 - 2) + -3)*-1. Let x(d) = -d**3 + 6*d**2 + 6*d + 10. Let w be x(g). Let o(p) = 4 + w*p + 5*p - 3*p - p**2 - p**3. Calculate o(-3). 7 Suppose -15 = 4*d + d. Let o be 108/48 + 2/(-8). Let i(f) = 2*f**2 - 3 - f**2 - 3 + o. Calculate i(d). 5 Let u(a) = 0*a - 1 - a + 0 - 1382*a**3 + 1404*a**3 - a. Determine u(-1). -21 Let j be (-3)/(-4)*(-14 - -42). Let b(q) = 1 - 22*q + 39*q - j*q. What is b(-2)? 9 Let o(l) = -l**3 - 22*l**2 - 21*l - 11. Suppose -z - 106 = 5*a, 29 = -3*z + 26. Give o(a). -11 Suppose 507*p - 3 = 504*p. Let t(d) = -11*d**3 - 1. Determine t(p). -12 Let o(p) = -3*p - 4. Let r be (9/6)/(1/2). Suppose 0 = 2*s + 9 - r. Determine o(s). 5 Let m(c) = -c**3 - 13*c**2 - 11*c - 6. Let d be 4 - ((-160)/(-100))/(2/20). Give m(d). -18 Let g(s) be the first derivative of -s**2/2 + 14*s + 45. Suppose -4*f - y = -4*y - 34, -42 = -4*f - y. What is g(f)? 4 Let m be (59 + -51)*((-7)/2)/(-7). Let t(h) = 5*h + 2*h - h**2 - 3 - 3*h. What is t(m)? -3 Let j(u) = 7*u - 5*u**2 - 3 + 5 - u**3 + 0*u**2. Let t = -54 + 93. Suppose 7*b - m = 3*b - 21, 5*b = -3*m - t. What is j(b)? -4 Let o be 6/7*(-4 + -6 + 3). Let g(z) = -5*z**2 + z - 5. Let d(x) = 9*x**2 - 2*x + 9. Let s(l) = o*d(l) - 11*g(l). What is s(-3)? 7 Let r(j) = -7*j**3 - 21*j**2 + 3*j - 10. Let h(p) = 3*p**3 + 10*p**2 - 2*p + 5. Let q(c) = 9*h(c) + 4*r(c). What is q(5)? 0 Let n(i) = -i**2 - 9*i - 4. Suppose -5*f = -r - 125, -5*r = 2*f - 5*f + 97. Let s be (-15)/(-4) - 5*3/20. Suppose -l = s*l + f. Give n(l). 14 Let j(h) = -h**3 + 5*h**2 + 5*h + 7. Suppose 17*v = 40*v - 138. Calculate j(v). 1 Suppose -3*m - 4*k + 4 = 0, -3*m + 0*m - 2*k + 14 = 0. Suppose -6*t = -4*t - m. Let g(c) = -c - 2 + 3 + 3*c. Calculate g(t). 9 Let v(w) = -24*w**2 + 12*w + 15. Let h(p) = -29*p**2 + 12*p + 14. Let q(c) = -5*h(c) + 6*v(c). Determine q(-9). -7 Let r(m) = 11*m**3 - 5*m**2 + 6*m - 9. Let u(c) = -31*c**3 + 14*c**2 - 17*c + 27. Let n(x) = 17*r(x) + 6*u(x). Let k = 3 + -3. What is n(k)? 9 Let i(o) = o**2 + 13*o - 20. Let v = 2004 + -2015. Determine i(v). -42 Let x(y) = -y**2 + 14*y - 5. Let g(w) = -10*w - 16. Let l be g(-3). Give x(l). -5 Let m(z) = z**3 + 8*z**2 - 3*z - 9. Let x be m(-9). Let j be (-18)/x - 131/(-7). Let v = j - 13. Let g(b) = b - 7. Determine g(v). -1 Let h(u) = u - 3. Let l be h(0). Let q be ((-1)/3)/(l/27). Suppose q*v = -5*f + 8*v + 10, 16 = -4*v. Let c(b) = -3*b + 1. Give c(f). 7 Let f(b) = 8 + 32*b**3 + 4*b**3 - 64*b**3 + 29*b**3 - 8*b**2 - 14*b. Give f(9). -37 Let j = 318 - 320. Let n(l) = -1 + 5*l**3 + l**2 - l - 2*l**3 - l**3 - l**3. Calculate n(j). -3 Suppose -3*y = -o - 3 - 5, o + 2 = 0. Let b(q) = y*q + 0 - q - 3 + q**2. Calculate b(3). 9 Let x(c) = 1 + c + c**3 - 4*c**2 - c. Let y = 147 - 145. Calculate x(y). -7 Let g(l) be the third derivative of -1/2*l**3 - 1/120*l**6 + 0*l**4 - 1/10*l**5 + 34 + 0*l - 2*l**2. Calculate g(-6). -3 Let i(k) = 2*k + 1. Let j(w) = 22*w + 3. Let z(a) = -4*i(a) + j(a). Determine z(3). 41 Let h(l) be the second derivative of -l**4/12 + 11*l**3/6 + 2*l**2 - 61*l. Calculate h(10). 14 Let q(z) be the third derivative of z**4/8 - 2*z**3/3 + 9*z**2. Let y be (-46)/(-2) - (8 + -10). Let f be y/(-9) - (-12)/(-54). Give q(f). -13 Let d(l) = -l + 1. Suppose -8*f + 225 = -33*f. Calculate d(f). 10 Let l(w) = -9*w**2 + w - 2. Let p(u) = 2*u**2 - 7*u + 7. Let c be p(2). What is l(c)? -10 Suppose 2*v + 5*c + 19 = -0*v, 0 = 3*v + 5*c + 26. Let s = 7 + v. Suppose 2*r = 6 - s. Let g(l) = l**3 - 2*l**2 + 3. Determine g(r). 12 Let f(y) = -y**2 + 6*y + 1. Let o = -8 - -4. Let b = 41 - o. Let k be (b/(-25))/((-3)/10). Determine f(k). 1 Let c = 39 - -31. Let h be (-2)/7 - (-20)/c. Let v(w) = -w**2 + w + 11. Calculate v(h). 11 Let f(h) = -3*h**3 + 15*h**2 + h + 2. Let z(l) = -l**3 + 5*l**2 + 1. Let u(j) = 2*f(j) - 7*z(j). What is u(2)? -11 Let s(u) be the third derivative of u**5/60 - u**3/6 + 5*u**2. Let x(q) = 11*q**2 + q - 2. Let c(o) = 3*s(o) - x(o). Determine c(-1). -8 Let r(p) = p**3 + 7*p**2 - 12*p - 7. Let k = -1414 - -1406. Give r(k). 25 Let f(o) = -o**3 - 6*o**2 + o + 1. Suppose 12*d + 34 = 10*d. Let y = 25 + d. Let r = 2 - y. Give f(r). -5 Let j(d) = 2*d - 1. Let h(f) = 16 + 0 - f + 4*f + 0*f. Let y be h(-8). Let q be 8/y + 3*1. What is j(q)? 3 Let z(v) be the third derivative of v**5/60 - 5*v**3/6 + v**2. Suppose -31*a + 28*a - 9 = 0. Let y = 1 - a. Determine z(y). 11 Let g(d) be the second derivative of -d**3/2 - 7*d**2/2 - d. Suppose -3*l - 19 = 5*c - 9*c, -3*l = -c + 7. Let u be l/(((-1)/1)/(-5)). Determine g(u). 8 Suppose 0 = -3*w - 12, v + 4*w + w = -17. Let s(h) = -8*h**2 - 6*h - 164 + 9*h**v + 156 - 10*h**3. Suppose f = -5*l - f - 37, -l - 5*f = 12. What is s(l)? -15 Let q(t) = -3 + 9421*t - 9418*t - 2*t**2 - t**3 + 2 + 0*t**3. What is q(-4)? 19 Suppose q = 3*h + 8, 0 = -h - 3*q - 0 - 6. Let j(a) = 11*a - 2. Calculate j(h). -35 Let u = -1 - 0. Let c be (-1)/(u - (-2)/3). Let o(n) be the first derivative of n**2/2 + 3*n - 22. Calculate o(c). 6 Let r = -331 + 325. Let f(g) = -g**2 - 7*g - 15. Calculate f(r). -9 Let b(y) = 32*y - 37. Let g(v) = 6*v - 7. Let f(d) = 2*b(d) - 11*g(d). Give f(6). -9 Let y(z) = -4*z**2 + 7*z - z**3 + 9*z**2 + 0*z**3 - 1 - 6. Let m = 6 - 8. Let t(j) = -j**3 - 2. Let o be t(m). Determine y(o). -1 Let t = -29 - -31. Let i(m) be the third derivative of m**3 + 0 + 0*m + 1/24*m**4 - t*m**2. Give i(-5). 1 Let c(z) = 2*z - 25. Let s(o) = -o + 11. Let j(b) = -2*c(b) - 5*s(b). What is j(0)? -5 Let k(u) = 8*u + 1. Let z(n) = -n**3 + 4*n**2 + 19*n + 13. Let g be z(7). Calculate k(g). -7 Let d(m) be the first derivative of -m**4/24 - 2*m**3 + 9*m**2/2 - 24. Let i(s) be the second derivative of d(s). Let o be (-13)/2 + 2/4. What is i(o)? -6 Let v(p) be the second derivative of -27*p**5/20 + p**3/6 - p**2/2 + 325*p. Determine v(1). -27 Let h(x) = 8*x**3 - 9*x - 5*x**3 + 8*x. Let a = 17 + -20. Let k = a + 2. Give h(k). -2 Let f(z) = -z**2 - 14*z - 8. Let u(q) = q**2 - 30*q + 93. Let b be u(26). What is f(b)? 25 Let v(w) be the first derivative of -w**5/10 - w**4/12 - w**3/3 + 3*w**2/2 - 19*w + 34. Let m(l) be the first derivative of v(l). Determine m(2). -21 Let s(i) = -35*i**3 + 38*i**3 + i - 2*i**2 - 2*i. Suppose -3*r - 5 = 7. Let g be (8/12)/(r/6). Determine s(g). -4 Let h(i) be the third derivative of 1/12*i**4 - 1/6*i**3 + 0*i + 0 + 3*i**2. Calculate h(1). 1 Suppose 6*f = 5*f + 3. Let j(v) = -2*v**f - 4*v**2 + v + 3*v**3 + 2*v**2. Calculate j(1). 0 Let i(j) = 2*j**3. Let c be i(1). Suppose 2 = -2*g - c. Let a be (2/6)/(g/18). Let v(d) = -d**3 - d**2 + 5*d + 4. Determine v(a). 7 Let j(y) = -14*y + 5. Let n(a) = 5*a - 2. Let u(h) = 3*j(h) + 8*n(h). What is u(-1)? 1 Let u(t) = -t**2 - 3*t - 1. Let z = -36 - -38. Suppose 0 = -z*h - 2*r + 1 + 5, 25 = 5*r. Give u(h). 1 Let j(q) be the first derivative of q**5/120 - 9*q**3 - 38. Let b(c) be the third derivative of j(c). What is b(7)? 7 Let n(d) = d + 14. Let f = -17 - -13. Let j = -9 + f. Let a be n(j). Let y(c) = -5*c**3 + c - 1. Calculate y(a). -5 Let j(s) be the second derivative of 7*s + 0 - 1/6*s**3 + s**2. What is j(-5)? 7 Let u = 3 + -1. Let p(b) = -3*b**2 + u*b**2
{ "pile_set_name": "DM Mathematics" }
-2*u = -0*u + t. Give u*f(r) + 22*i(r). -2*r**3 Let v(p) = p**3 - 6*p**2 + 6. Let f(z) = 10*z**3 - 65*z**2 + 65. Suppose -4*m + 8*m = -260. Determine m*v(j) + 6*f(j). -5*j**3 Let i(j) = j**3 + 6*j**2. Let b = 15 + -9. Suppose 0 = -3*t + y + 2*y - b, -3*y = -t - 12. Let u(k) = k**3 + 5*k**2. Calculate t*i(v) - 4*u(v). -v**3 - 2*v**2 Let f(j) = -6*j + 9. Let v(p) = -4*p + 6. Let r(w) = -5*f(w) + 8*v(w). Let s be ((-6)/(-4))/(13/(-8) + 2). Let k(c) = -2*c + 4. Calculate s*k(o) - 5*r(o). 2*o + 1 Let q(l) = -6*l**2 + 11*l - 10. Let y(w) = w**2 - 2*w + 2. Determine -4*q(t) - 22*y(t). 2*t**2 - 4 Let x(b) = -b + 3. Let v(o) = -4*o + 10. Let p(k) = -2*v(k) + 7*x(k). Let n(g) = 1. Give -2*n(y) + p(y). y - 1 Let y(n) = -n**2 - 5 + 5 + n. Let h(u) = 2*u. Suppose 1 = -q - 0. What is q*h(j) + 2*y(j)? -2*j**2 Suppose n + 93 = 92. Let d(h) = h. Suppose a = -5*w + 4*a + 17, -w + 6 = 2*a. Let f(q) = 5*q + 2. What is n*f(t) + w*d(t)? -t - 2 Let m(h) = -4*h + 4. Let v(w) = -7*w + 7. Let a(g) = 90*g - 90. Let k(l) = -2*a(l) - 27*v(l). Let j = 7 + -5. Determine j*k(z) + 5*m(z). -2*z + 2 Let w(o) = -19*o**2 + 7*o + 4. Let t(q) = -6*q**2 + 2*q + 1. What is -14*t(d) + 4*w(d)? 8*d**2 + 2 Let a(f) = f + 1. Let k(d) = 5*d - d - 1448 + 0*d + 1455. Give -5*a(n) + k(n). -n + 2 Let z(v) = -2*v**2 - 6*v + 5. Let q(h) = h - 1. Let i(w) = -w**2 + 6*w - 6. Let p be i(5). What is p*z(a) - 6*q(a)? 2*a**2 + 1 Let d(v) = 4*v + 11. Let p(z) = -17*z - 45. Determine 9*d(g) + 2*p(g). 2*g + 9 Let f(h) = 6*h**3 + 41*h**2. Let i(c) = c**3 + 8*c**2. Calculate -2*f(g) + 11*i(g). -g**3 + 6*g**2 Let z(p) = 3. Let f(k) = 2. Let w(m) = 7*f(m) - 4*z(m). Let u(g) = -g - 2. Calculate -2*u(v) - 3*w(v). 2*v - 2 Let q be (10/15)/(2/12). Let i(g) = g**2 + g + 5. Let r(b) = 6 - 4*b + 2*b**2 + 2*b + 3*b. Calculate q*i(n) - 3*r(n). -2*n**2 + n + 2 Let q(d) = -67*d - 80*d + 205*d - 72*d + 6. Let l(t) = -2 + 4 - 2*t - 3*t. Calculate 17*l(m) - 6*q(m). -m - 2 Let m(d) = -d + 2. Let v(o) = 2*o - 2. Let z(a) = -a**2 + 2. Let r be z(-2). Give r*v(g) - 3*m(g). -g - 2 Let o(q) = -4*q + 1. Suppose -2 = 3*a - 2*a. Let i(c) = c. Let u(w) = 8*w. Let t(p) = 6*i(p) - u(p). Suppose 0 = 5*d - 3*d - 10. What is a*o(j) + d*t(j)? -2*j - 2 Suppose -3*u + 31 - 46 = 0. Let s(o) = 7*o - 3. Let t(a) = 6. Let c(m) = m - 11. Let g(w) = -4*c(w) - 7*t(w). Give u*g(x) - 3*s(x). -x - 1 Let p(c) = 14*c**2 - 11*c + 20. Let a(n) = n**2 + 0*n - 7 - 6*n**2 + 4*n. Let b be (-2 + 1)*1*6. What is b*p(m) - 17*a(m)? m**2 - 2*m - 1 Let x(b) = 2*b + 3. Let y(q) = -13*q - 17. What is 34*x(t) + 6*y(t)? -10*t Let y(o) = -7*o**2 - 4*o - 4. Let h(q) = -15*q**2 - 9*q - 9. Suppose 4*i = -0*i - 5*r + 51, 5*i - 5*r = 30. What is i*y(b) - 4*h(b)? -3*b**2 Let l(g) = -5*g**2 + 4*g - 2. Let b be 2/4*18/(-3). Let o(w) = 4*w**2 - 3*w + 1. Suppose 3*d = -m + 1 + 1, d - 22 = 5*m. Determine b*l(n) + m*o(n). -n**2 + 2 Let r(i) = -i**3 + i**2 + i. Let p(z) = 16*z**3 - 8*z**2 - 8*z. Give p(g) + 8*r(g). 8*g**3 Let n(q) = q**3 + 5*q**2 + 2*q - 3. Suppose 3*p = -13*p - 48. Let c(d) = -d**3 - 3*d**2 - d + 2. Give p*n(i) - 5*c(i). 2*i**3 - i - 1 Let l(j) = -7*j**2 + 9*j**2 - 3*j - 2*j + 11. Let m(k) = k**2 - 3*k + 6. What is -6*l(c) + 11*m(c)? -c**2 - 3*c Let r(u) = 2*u - 1 - 4 + 3*u. Let w(x) = -5*x + 3. Let q(m) = -5*m - 5*m + 0*m - 11*m + 12. Let y(k) = -4*q(k) + 18*w(k). What is -4*r(n) - 3*y(n)? -2*n + 2 Let u = -11 + 7. Let n(l) = -2*l**2 - 2 - 2*l - 1 - 1 + l. Let q(m) = -3*m**2 - m - 5. Determine u*n(w) + 3*q(w). -w**2 + w + 1 Let z(v) = -8*v + 4*v + 1 + v**3 + 0*v + 3*v. Let q(x) = -6*x**3 + 4*x - 4. Give -q(g) - 4*z(g). 2*g**3 Let w(o) = 7*o. Let r(n) = 9*n + 1. Let i(u) = 4*r(u) - 6*w(u). Let m(c) = 9*c - 6. Give 8*i(t) + 5*m(t). -3*t + 2 Let m(y) = 3 - 4 + 2*y**2 + 0 - y. Let v(a) = 4*a - a**2 + 0*a**2 + 5 - 7*a**2. Let d be (-6)/(-1)*4/(-12). Give d*v(l) - 9*m(l). -2*l**2 + l - 1 Let v(b) = 4*b + 5. Let l(n) = -n**2 + 5*n + 6. What is -5*l(j) + 6*v(j)? 5*j**2 - j Let j(d) = 36*d + 5. Let r(q) = q + 1. What is j(g) - 4*r(g)? 32*g + 1 Let u(p) = -4*p**2 + p + 5. Let x(g) = -11*g**2 + 3*g + 14. Let q = 5 - 5. Suppose q = -5*c - 0 + 15. Let r be (c - -2) + -3 - -6. Determine r*u(m) - 3*x(m). m**2 - m - 2 Let u(d) = -16*d**3 - 5*d - 5. Let p(h) = 104*h**3 + 32*h + 32. Determine 5*p(y) + 32*u(y). 8*y**3 Let n(y) = -y**2 - 3*y. Suppose 0 = 2*a - 20 - 82. Let g(l) = 0*l - a + 51 + l**2 + 2*l. Determine -3*g(z) - 2*n(z). -z**2 Let y(d) = -9*d - 4. Let p(r) = -4*r - 9*r - r - 6. Give -5*p(v) + 8*y(v). -2*v - 2 Let p(g) = 15*g**2 - 6*g. Let r(i) = 46*i**2 - 17*i. Calculate -17*p(a) + 6*r(a). 21*a**2 Let q(f) = 14*f + 10. Let m(l) = -5*l - 3. Give 11*m(y) + 4*q(y). y + 7 Let z(f) = -5*f**2 + 2*f + 2. Let s(l) = -6*l**2 + 3*l + 3. Let i be -8 + 8 - (0 + 2). Give i*s(d) + 3*z(d). -3*d**2 Let l(y) = 6*y - 2. Suppose -3*b + 26 + 1 = 0. Let x(a) = 25*a - 8. Determine b*l(m) - 2*x(m). 4*m - 2 Suppose -4*r - 28 = -8*r. Let i be (r - 0) + -4 + -1. Let q(a) = 7*a**2 + 5*a + 5. Let p(l) = -3*l**2 - 2*l - 2. What is i*q(u) + 5*p(u)? -u**2 Let o(g) = 2*g**2 - 3*g - 3. Let w(y) = 3*y**2 - 5*y - 6. Calculate -5*o(s) + 3*w(s). -s**2 - 3 Let o be (-2)/12 - 31/(-6). Suppose 1 = 3*d - d - t, -4*t + 14 = -2*d. Let l = d + -7. Let n(q) = -7*q + 3. Let h(b) = -6*b + 2. Calculate l*n(g) + o*h(g). -2*g - 2 Let y(w) = 13*w**3 + 33*w - 7. Let x(a) = -4*a**3 - 11*a + 2. Give 7*x(u) + 2*y(u). -2*u**3 - 11*u Let l(c) = -19*c + 6. Let t(d) = d + 1. Give -l(q) + 5*t(q). 24*q - 1 Let a(v) = 13*v**2 + 3*v. Let l(b) = b. Calculate -a(w) + 4*l(w). -13*w**2 + w Let v(j) = -j + 1. Let x(g) be the second derivative of -5*g**3/6 + 2*g**2 - 5*g. Calculate 4*v(p) - x(p). p Let d(c) = -6*c - 4. Let f(l) = -5*l - 3. Let r(g) = g**3 - 9*g**2 + 9*g - 11. Let m be ((-4)/(-12))/((-2)/(-48)). Let s be r(m). Give s*d(k) + 4*f(k). -2*k Let z(b) = 5*b + 1. Let h(f) = -21*f - 4. Let s(u) = -u**3 + u**2 - u - 9. Let j be s(0). Calculate j*z(c) - 2*h(c). -3*c - 1 Suppose 2*j = 3*q - 8, -2*q + j = -3 - 2. Let p(a) = -2*a. Let h(n) = n + 1. Give q*h(f) + 2*p(f). -2*f + 2 Let i(j) = -j. Let m(a) = -10*a - 2. What is 4*i(g) - m(g)? 6*g + 2 Let b(r) = -11*r - 7. Let i(u) = 11*u + 8. Determine 7*b(w) + 6*i(w). -11*w - 1 Let v(n) = -n**3 - n**2 + n - 1. Let s(b) be the second derivative of -7*b**5/10 - b**4 + 2*b**3 - 6*b**2 - 6*b. Calculate s(d) - 12*v(d). -2*d**3 Let r(o) = -4*o**3 - 4*o**2 + 3*o + 5. Let g(p) = p**3 - p - 1. Determine 3*g(f) + r(f). -f**3 - 4*f**2 + 2 Let m(u) = -2*u**3 - 5*u**2 + 7*u + 5. Let z(p) = p**3 - p**2 + p + 1. Calculate m(n) - 5*z(n). -7*n**3 + 2*n Let r(u) = -14*u + 1. Let c(p) = 5*p. Let h(l) = -l**3 + 18*l**2 - 3. Let g be h(18). Calculate g*r(t) - 8*c(t). 2*t - 3 Let z(j) = 2*j**2 + 2. Let q(g) = -6*g**2 + 13 + 11 - 30. Determine -3*q(w) - 10*z(w). -2*w**2 - 2 Let s be (1 + -3)/((-1 - 1)/2). Let q(g) = 7*g. Let i(x) = x**2 + 22*x. Calculate s*i(v) - 7*q(v). 2*v**2 - 5*v Let l(u) = 2726*u + 87. Let p(d) = -124*d - 4. Give -4*l(h) - 87*p(h). -116*h Let x(g) = -5*g**2 + 11. Suppose 3*f = -5*r + 46, -4*f = 3*r - 5 - 16. Let z(n) be the second derivative of -n**4/12 + n**2 - 2*n. Determine r*z(b) - 2*x(b). -b**2 Let i(s) = 17*s**2 + 8*s - 5. Suppose -3*r + 22 = -5*r. Let p(w) = 6*w**2 + 3*w - 2. Give r*p(t) + 4*i(t). 2*t**2 - t + 2 Let t(h) = 9*h**2. Let a(d) = -49*d**2. Determine 5*a(u) + 28*t(u). 7*u**2 Let g(j) be the third derivative of -j**5/30 - j**3/6 - 7*j**2. Let r(p) = -10*p**2 - 4. Calculate 14*g(l) - 3*r(l). 2*l**2 - 2 Let s(p) = 4. Let h(o) = 1. Let t(r) = 3*h(r) - s(r). Suppose -9 = 5*g - 4. Let m(q) = -2*q + 10. Determine g*m(y) - 12*t(y). 2*y + 2 Let k(u) = 1. Suppose 6*o - 2*o = 0. Let c be (-1 - o) + (-3)/(-1). Let l(r) be the third derivative of r**4/24 + r**3/6 + r**2. Give c*l(i) - k(i). 2*i + 1 Let m(j) = 5*j**3 - 9*j**2 - 2. Let r(z) = 2*z**3 - 3*z**2 - 1. Calculate 3*m(y) - 8*r(y). -y**3 - 3*y**2 + 2 Suppose -2*l + 7*l = 10. Let p(j) = -6*j + 2 - 8 - 4 + l. Let b(k) be the third derivative of -k**4/12 - k**3/2 - 9*k**2. What is 11*b(d) - 4*p(d)? 2*d - 1 Let h(t) = -1. Let c(n) = 7*n**3 + 7*n**2 + n + 11. Let u(a) = -3*a**3 - 3*a**2 - 5. Let d(w) = 2*c(w) + 5*u(w). Suppose -4*r + 15 = r. Calculate r*h(i) - d(i). i**3 + i**2 - 2*i Let a(n) = -13*n**3 - 9*n**2 + 3*n - 7. Let
{ "pile_set_name": "DM Mathematics" }
pand -x**3 - 2*x**2 + 2*x**2 - x**2 - x**3 + 2*x + x**2 - 2*x**3 + 4*x**3 - x**3 + (0 - 4 + 3)*(3*x**3 - x**3 - 4*x**3) - x**3 + 3 - 3 + 2*x - 2*x - 3*x**3. -3*x**3 + 2*x Expand (-m + 4*m - m)*(1 - 4 + 4)*(-m**2 + 4*m - 4*m). -2*m**3 Expand 0*v + 0*v - v + (-v - 3*v - v)*(-1 - 1 + 4) + (3 - v - 3)*(-5 + 2 + 1) + v - 3 + 3 + v + v - v + 0 + 0 - 2*v. -9*v Expand (0 - 2 + 3)*(-191 + 63*d + 191). 63*d Expand (3 - 3 + 2*s**2 + (5*s - s - 2*s)*(-s + 5*s - 2*s) + 1 - s**2 - 1 - s**2 - s**2 + 0*s**2)*(1 - 1 + 3*s). 9*s**3 Expand (-3 + 2 + 2)*((2*s - 2*s + 2*s)*(-s - 2*s + s) + 4*s**2 + 0*s**2 - 2*s**2 + 173*s**2 - 95*s**2 - 119*s**2). -43*s**2 Expand (2*u - 2*u - 2*u)*(0*u - 4*u + 6*u) + 140 - 19*u**2 - 140. -23*u**2 Expand (1 - x - 1)*(1 + 0 + 0)*(3 - 8 + 4)*(-3*x - 5*x + 2*x). -6*x**2 Expand -3*c**2 + 2*c**2 - c**2 + (-c**2 + 0*c**2 - c**2)*(1 + 0 - 3). 2*c**2 Expand (5*p**2 - p**2 - 3*p**2)*(0*p - p + 0*p - 2*p + 2 - 2 + (-1 - 3 + 3)*(4*p - p - p) + 1 - 1 + 2*p - p + p + p + 5*p + p + 2*p). 6*p**3 Expand -i**4 + 3*i**4 - i**4 - 8*i - 8*i**4 + 8*i + (i**4 + 0*i + 0*i)*(0 + 0 + 2). -5*i**4 Expand (0*v + 0*v - v**2)*(0 + 3*v**2 + 0) + 5*v**4 - 5*v**4 + 9*v**4 + (-3*v**2 + 2*v**2 - v**2)*(2*v**2 + 4*v**2 - 4*v**2). 2*v**4 Expand (3*b - 5*b + 4*b)*(b - 3*b + b)*(-3*b - 4*b**2 + 3*b). 8*b**4 Expand (0*d**3 + 4*d**3 - 3*d**3)*(-2 + 2 - 5*d)*(3 + 2 - 4 + (1 - 2 + 3)*(2 + 1 - 1))*(3 - 4 + 3). -50*d**4 Expand v**3 - 2*v**3 + 3*v**3 - v**2 + v**2 + v**3 + (-v - 2*v + 2*v)*(-4*v**2 - 3*v**2 + 5*v**2) - v + v + v**3 + (v + 1 - 1)*(-v**2 - 2*v + 2*v). 5*v**3 Expand (-2*r**3 - 2*r + 2*r + (-2 - 2 + 2)*(-r**3 + 2*r**3 + 0*r**3) + (2 - 2 + 1)*(-r**3 + 5*r**3 - 5*r**3))*(-2*r**2 - r**2 + r**2). 10*r**5 Expand (-14*x + 14*x + 15*x**4)*(-2 + 3 + 0*x - 2*x). -30*x**5 + 15*x**4 Expand 1792*g**2 - 1792*g**2 - 44*g**4 + (-2*g**2 + 4*g**2 - 3*g**2)*(-2*g**2 - 3*g**2 + 6*g**2) - 2*g**4 - 3*g**3 + 3*g**3. -47*g**4 Expand (z + 0*z + 0*z)*(2*z**3 - 3*z**3 + 2*z**3) + (3*z**2 + 7*z**2 + 7*z**2)*(-2*z**2 + 3 - 3). -33*z**4 Expand (-3 + 3 - 2*h)*(0*h + 3*h + 0*h). -6*h**2 Expand (-1 + 2*f + 1)*(2*f - 3*f**2 - 2*f)*(-8*f**2 - 5*f**2 + 3*f**2). 60*f**5 Expand (3 + 7 - 3)*(1 - 2 + 3)*(0*a + a + a). 28*a Expand 5 + c - 13*c**2 + 0 + 15*c**2 + (5*c**2 + 0*c**2 - 4*c**2)*(5 - 1 - 1). 5*c**2 + c + 5 Expand (2 - 4 + 1)*((2 - 4 - 3)*(0*t + 2*t - 3*t) - 1 + 1 + t + (-4*t + 5*t - 3*t)*(0 - 4 + 6) + (2*t + 0*t - 4*t)*(6 - 2 - 2)). 2*t Expand (-3*d**2 + 4 - 4 + (0*d + d + d)*(0*d - 4*d + 2*d))*(3*d**2 + 0*d**2 - 2*d**2) + 3*d**3 - 3*d**3 + 3*d**4. -4*d**4 Expand (0*h + h - 2*h + 1)*(-1 + 2*h**2 + 1). -2*h**3 + 2*h**2 Expand (h**2 - 3 + 3)*((-2*h + 0*h - 2*h)*(1 - 4 + 4) - h + 6*h + 6*h). 7*h**3 Expand (25 + 29 - 9)*(3*c**5 + 0*c**5 - 4*c**5). -45*c**5 Expand (p - p + 2*p)*(1 - 3 + 4)*(-17 - 12 + 12). -68*p Expand (-2*z**4 - 2*z**3 + 2*z**3)*(2 + 1 - 7) - z**4 + 3*z**4 - z**4. 9*z**4 Expand (8*o**3 + 9*o**3 - 4*o**3)*(o - o - 2*o) + o**4 - o**4 - 2*o**4. -28*o**4 Expand (-2 - b - 3 + 4)*(-4*b**2 - 4*b**2 + b**2). 7*b**3 + 7*b**2 Expand (0 + 5 - 3 + 0 - 1 + 0 + (-1 + 4 - 2)*(1 + 0 + 0))*(2*t**4 + 2*t**4 - t**4). 6*t**4 Expand (6 + 2 - 3)*(-f + 2*f + f). 10*f Expand (-4 - 2*o + 4)*(o + 5 - 5). -2*o**2 Expand (-3*q + 2*q + 0*q + 2*q + 0*q - q + (1 - 2 + 0)*(-q + q - 2*q) + 3*q + 0*q + 5*q)*(q + 3*q - 2*q). 20*q**2 Expand -4*q + 4*q - q + (3 + 0 - 1)*(0*q - 2*q + 0*q) + 2 - 4 + q + 0. -4*q - 2 Expand (-2 - 2 + 3)*(-22 + 22 - 48*j**2). 48*j**2 Expand (8*r**2 + 9*r**3 - 8*r**2)*(5*r**2 - 2*r**2 + 2*r**2). 45*r**5 Expand (3 + 2 - 4 + (1 - 5 + 5)*(2 - 4 + 1) - 3 + 3 - 1 - 13 - 9 - 12)*(-3*f**4 + 4*f**4 + 2*f**4). -105*f**4 Expand (1 - 1 - x)*(x**3 + x**3 - x**3) + 12*x**3 - 11*x**3 - 8*x**4 + 10*x**4 - 12. x**4 + x**3 - 12 Expand 3*i**2 - 2*i**2 + 3*i**2 + (-3*i + 3*i - 2*i)*(0*i + 2*i + 1 - 2) + 3*i**2 + i**2 - 7*i**2. -3*i**2 + 2*i Expand 2 - 2 + 2*f**4 + (-3 - 1 + 2)*(40*f**4 - 61*f**4 + 31*f**4). -18*f**4 Expand 4*o**5 - 8*o**5 + 3*o**5 + (-o**3 + 2*o**4 + o**3)*(-3*o + 4*o - 2*o) + 3 - 3 - 2*o**5. -5*o**5 Expand (-f - 3 + 3)*(-2*f**2 + 13 - 13). 2*f**3 Expand (-o + 3 - 4*o + 2*o)*(5*o**3 - 4*o**3 - 4*o**3). 9*o**4 - 9*o**3 Expand (-3*n**2 - 2*n**2 + 4*n**2)*(-n**2 + 0*n**2 + 2*n**2 + (-3*n + 5*n - 3*n)*(2*n + 0 + 0) - 4*n**2 + 3*n - 3*n - n**2 + 0*n**2 - n**2). 7*n**4 Expand (n + 4*n - 3*n)*(n + n**2 + 0*n**2 - 7*n) - 5*n**3 + 3*n**3 + 3*n**3. 3*n**3 - 12*n**2 Expand (-4*w + w + w)*(2*w - 4*w - w)*(0 + 1 - 3)*(-5*w + 12 - 12). 60*w**3 Expand 2*k**4 - 4*k**4 + 7*k**4 + (-2 - k + 2)*(-k**3 + 4*k**3 - k**3) + 4*k - k**4 + k**3 - 4*k. 2*k**4 + k**3 Expand (2*w**2 - w**2 + 0*w**2)*((0 + 3 - 4)*(-8 + 6*w + 8) + 0*w + 3*w - w). -4*w**3 Expand (-3 + 2 + 7)*(-4*a + 3*a + 0*a)*(2 + 0 - 4). 12*a Expand (-4*s**2 + 4*s**2 + s**4)*((-1 + 6 - 1)*(-1 + 1 + 1) + 5 - 5 - 2). 2*s**4 Expand z - 5*z**4 - 3*z**3 + 3*z**3 + (-3 + 2 + 5)*(3*z**4 + 3*z**4 - 4*z**4). 3*z**4 + z Expand (-4*m + 14*m - 4*m)*(2*m**3 + 4*m**3 + 0*m**3). 36*m**4 Expand (1 - 1 + s**2)*(-3 + 3 - 2*s**2 + (-3*s + 0*s + 2*s)*(-2*s + 0*s + 4*s) + 2*s**2 - s**2 + 0*s**2) - 2 - 2*s**4 + 2. -5*s**4 Expand (16*r**3 + 173*r**2 - 173*r**2)*(0 + r**2 + 0). 16*r**5 Expand 5*g**5 - 3*g**5 - g**5 + (0*g + g - 3*g + (6 - 2 - 3)*(-2*g - g + g) + 4*g - 4*g + g + 1 - 1 - g - 2*g + 3 - 3 - 2 + 2 + g)*(0 + 2*g**4 + 0). -9*g**5 Expand (5*z - 2*z - 2*z)*(0*z**2 - z**2 - 2*z**2)*(-3*z + 0*z + 4*z). -3*z**4 Expand (4*k + 5 - 1 - 2)*(-2 + 2 + k). 4*k**2 + 2*k Expand (2 + 8 - 4)*(5*j + 11 - 11)*(2 + 0 - 3 + (-5 + 5 + 1)*(-3 + 2 - 1) + 3 - 5 + 0 + 1 - 2 - 1 + 0 - 1 + 0). -240*j Expand (2*j**3 - 2*j**2 + 2*j**2)*(-4*j + j + 4*j) + 5*j**4 - 2*j**4 - 2*j**4 + 0*j**2 + 0*j**2 + 3*j**4 + 3*j - 2*j**4 + 9*j**2 - 9*j**2. 4*j**4 + 3*j Expand -3*f**3 - f**3 + 3*f**3 + 3*f + 3*f**3 - 3*f + (6*f - 3*f - f)*(2*f**2 - 4*f**2 + 0*f**2). -2*f**3 Expand (0 + 6 - 2)*(-3 + o**3 + 3) + (0*o + o - 4*o)*(-2*o**2 + 5*o**2 + o**2). -8*o**3 Expand (4*q + 4 - q - 8*q)*(3*q - 3*q - 2*q). 10*q**2 - 8*q Expand (-2*z + 0 + 0)*(11 + 4 + 2). -34*z Expand (5 - 9 - 5)*(-3*g**2 + 3*g**2 + 3*g**2). -27*g**2 Expand (-3*n**4 - n**4 + 10*n**4)*(8*n + 0 + 0 + (-2 + 2 - n)*(3 + 2 - 4)). 42*n**5 Expand (-u + 9*u + 6*u)*((1 + 1 - 1)*(2*u - u - 3*u) + 0 + u + 0). -14*u**2 Expand (5 + 1 - 2)*(1 + 1 - 3)*(3 + 1 + 5)*(1 - 1 + t**3). -36*t**3 Expand (2*l**2 - 2*l**2 + 2*l**3)*(0*l - l + 2*l)*(-7 - 3 - 4). -28*l**4 Expand (-9 - 3 - 5)*(5 - 3 + 0)*(m + 2*m - m). -68*m Expand (1 - w**3 - 1)*(6 + 1 + 8)*(3 - 1 - 3)*(3*w - w - w). 15*w**4 Expand (-5 + 2 + 4)*(2 + 0 - 3)*(0 + 0 + c) - c - 4*c + 11*c. 5*c Expand (0 - 3 + 7)*(-2*l**3 + 0*l**3 + l**3). -4*l**3 Expand (-m + 0*m - m)*(-2 - 2 - 2) + 4*m - 3*m - 4*m + (-2 + m + 2)*(2 + 3 - 7). 7*m Expand (4*s - 2*s - 4*s)*(2*s**2 + 2*s**2 - s**2) + (7*s**2 - 5*s**2 + 2*s**2)*(-2 + s + 2). -2*s**3 Expand (2*c**2 - c**2 - 2*c**2)*(4*c + 3*c**2 - 3*c + 4*c**3 - 2*c**2). -4*c**5 - c**4 - c**3 Expand (4*v - 4*v - v + (2 - 2 - 2)*(2*v + 3*v - 3*v) - 3*v + 4*v - 2*v + 3*v + 2*v - 3*v + v - 5*v - 7*v)*(-4*v**3 + 3*v**3 + 3*v**3). -30*v**4 Expand (2*u + 1 - 1)*(4*u + 12*u + 3 - 7*u). 18*u**2 + 6*u Expand (-2*a**2 + 0*a**2 + 0*a**2)*(-7 - 5*a + 6*a + 0). -2*a**3 + 14*a**2 Expand (-2*x**3 - x + 2*x**3 - 2*x**3)*(-2 + 2*x + 2)*(3*x - 4*x + 0*x). 4*x**5 + 2*x**3 Expand (3 - 5 + 3)*(-4*w - 3*w + 5*w) + 0*w + w + 0*w - w - 2*w + 6*w + (4 + 1 - 4)*(w - 2*w + 3*w) - 2*w + 2*w - w. 3*w Expand (d**2 + 0*d**2 + 0*d**2)*(5 - 1 - 2) - 3*d**2 + 0*d + 0*d - 3*d**2 + 0*d**2 + 5*d**2 + (-2 - d + 2)*(-3*d + d + d). 2*d**2 Expand (2*o - 5*o - o)*((4*o + 0*o - 3*o)*(-4 - 1 + 3) - 7*o + 3*o + 0*o). 24*o**2 Expand (-13*f**4 - 3*f**4 + f**4)*(f + 2*f - 5*f)*(-2 - 3 + 6). 30*f**5 Expand 0 - 7*g**2 - 2*g**4 + 6*g**2 + 1 + (2*g**2 - 2*g**2 - g**2)*(0*g**2 + 2*g**2 - g**2) + 3*g**4 - 7*g**4 + 2*g**4. -5*g**4 - g**2 + 1 Expand (-4 + 4 + 2*c)*(2*c - 3*c + 2*c) + c**2 + 0*c**2 - 3*c - c. 3*c**2 - 4*c Expand (q**2 + 2*q - 2*q)*(-1 - 1 + 1)*(-11*q + q - 4*q). 14*q**3 Expand (-69*o + 135*o - 68*o + 7)*(2 - 2 + o). -2*o**2 + 7*o Expand -792 - 54*g**4 + 792 + (0*g**3 - 4*g**3 + 6*g**3)*(-g - g + 4*g) + 0*g**4 - 3*g**4 + 2*g**4 - 2*g**4 + 1 - 1. -53*g**4 Expand -w**2 + w**2 - 3*w**5 + (4*w + 0*w - 3*w)*(w**4 - 4*w**4 +
{ "pile_set_name": "DM Mathematics" }
ative of w(u) wrt u? -6 Suppose -3*v - 2*y = -13 - 45, 2*v + 5*y = 46. Let b be 4/v + 34/9. What is the derivative of -1 - 3*i + b*i - 1 wrt i? 1 Let c(d) = -5*d**3 - 2*d**2 - 2*d - 1. Let t be c(-1). Find the second derivative of 3*y**4 + y**t - 5*y - 3*y wrt y. 48*y**2 Let x(z) be the first derivative of -6/7*z**7 + 0*z**6 + 1 + 0*z**5 + 1/3*z**3 + 0*z**4 + 0*z + 0*z**2. Find the third derivative of x(g) wrt g. -720*g**3 Let r(g) be the first derivative of g**5/12 - 5*g**3/6 + g**2/2 + 3. Let z(j) be the second derivative of r(j). What is the derivative of z(s) wrt s? 10*s Let w = 4 + 7. Find the third derivative of -5*z**2 + 3*z**5 - w*z**5 + 10*z**5 wrt z. 120*z**2 Let q be (1 + 1)/(8/12). Find the second derivative of 5*m - 14*m + 3*m + 4*m - 5*m**q wrt m. -30*m Let f be (2/3)/((-6)/(-9)). Let z(c) = -c**2 - 7*c + 10. Let j be z(-8). What is the derivative of 2*n**4 + f + j*n - 2*n wrt n? 8*n**3 What is the third derivative of 0*z**5 - 3*z**5 + 38*z**2 - 27*z**2 wrt z? -180*z**2 Let p(j) = -124*j**2 - 16*j - 2. Let o(s) = -61*s**2 - 8*s - 1. Let k(c) = -9*o(c) + 4*p(c). Find the second derivative of k(z) wrt z. 106 Let f(l) = -12*l**2 - 22*l. Let h(x) = x**2 + x. Let p(j) = f(j) + 4*h(j). What is the second derivative of p(m) wrt m? -16 Suppose 4 = 3*c - 2. What is the third derivative of 6*w**4 - 9*w**4 + 0*w**4 + 5*w**c wrt w? -72*w Let f(o) = 2*o**4 + 3*o**3 - o**2 + 3*o + 3. Let v(q) = q**3 + q + 1. Let d = 13 + -11. Let l(a) = d*f(a) - 6*v(a). Find the third derivative of l(h) wrt h. 96*h Let r = 2 + 1. Find the second derivative of -g**2 + 4*g - r*g**2 + 5*g**2 wrt g. 2 Let c(v) be the second derivative of v**5/30 + v**3/3 - 3*v**2/2 + 4*v. Let r(x) be the first derivative of c(x). What is the derivative of r(a) wrt a? 4*a Let x(d) be the first derivative of -11*d**4/4 + 19*d**2 + 33. What is the second derivative of x(s) wrt s? -66*s Let r(w) be the third derivative of w**7/30 - 2*w**4/3 + 10*w**2. Find the second derivative of r(a) wrt a. 84*a**2 Find the second derivative of -23*q**5 + 13 - 2*q**5 + 4*q**5 + q wrt q. -420*q**3 Let w(h) be the second derivative of h**7/21 - h**4/2 + 9*h. What is the third derivative of w(y) wrt y? 120*y**2 Let s(p) = 43*p - 28. Let m(r) = 87*r - 55. Let t(b) = -3*m(b) + 7*s(b). What is the first derivative of t(q) wrt q? 40 Let z(t) be the third derivative of 0*t**3 + 1/60*t**6 + 0*t**5 + 0*t + 2*t**2 + 0 - 7/24*t**4. Find the second derivative of z(c) wrt c. 12*c Let k(b) = -b**3 - 6*b**2 - 2. Let q(y) = -3*y + 0*y - y**2 + 3*y. Let c(f) = k(f) - 6*q(f). Differentiate c(n) wrt n. -3*n**2 Let y(u) = -u**2 + 7*u + 3. Let s be y(7). Suppose 0*k = k - s. What is the derivative of 2 - 4 - r**2 + k wrt r? -2*r Let x(s) = -s**3 + 11*s**2 - 11*s + 12. Let y be x(10). What is the derivative of l - l + l**2 + 2*l**y - 2 wrt l? 6*l Let w(d) be the first derivative of d**4 + 6*d + 2. Differentiate w(f) with respect to f. 12*f**2 Let j(p) be the third derivative of 0 + 0*p - 1/24*p**4 + 0*p**3 - 3*p**2 + 1/60*p**5. Find the second derivative of j(q) wrt q. 2 What is the first derivative of 2 + 5 - 2 - 5*n**3 wrt n? -15*n**2 Differentiate 4*s + 3 - 5 + 1 - 1 with respect to s. 4 Find the third derivative of -201*m + 201*m - 3*m**3 - 3*m**2 wrt m. -18 Let j(d) be the first derivative of 4*d**5/5 - 7*d**3/3 - 4. Find the third derivative of j(q) wrt q. 96*q Let t = 0 - -6. Let x(v) = -v**3 - v + 1. Let w(a) = -7*a**3 - 6*a + 9. Let n(c) = t*x(c) - w(c). What is the derivative of n(k) wrt k? 3*k**2 Let p(z) be the first derivative of z**4 - 8*z**3/3 + 3. Find the third derivative of p(f) wrt f. 24 Let n(j) = -13*j**2 + 12*j - 13. Let d(c) = -7*c**2 + 6*c - 6. Let r(q) = 13*d(q) - 6*n(q). Find the second derivative of r(a) wrt a. -26 Let v(w) be the third derivative of 0 + 0*w**5 + 1/12*w**4 - 1/24*w**6 - 3*w**2 + 0*w + 0*w**3. Find the second derivative of v(l) wrt l. -30*l Let x(y) = -y + 8. Let s be x(5). Let n(q) be the first derivative of -2 + q**2 + 0*q - 1/3*q**s. What is the second derivative of n(c) wrt c? -2 Let z(o) = -4*o**5 + 6*o**3 - 3*o**2 + 6. Let q(r) = -11*r**5 + 17*r**3 - 8*r**2 + 17. Let s(t) = 6*q(t) - 17*z(t). What is the third derivative of s(f) wrt f? 120*f**2 Suppose -5*k + 14 - 4 = 0. What is the first derivative of k*u + u - u - 2 wrt u? 2 Let m = 12 + -7. Let n(b) = -b - 4. Let d be n(-5). What is the second derivative of 2 - d - 1 + 3*w - 4*w**m wrt w? -80*w**3 Let x(z) be the second derivative of z**9/168 - z**5/30 - 3*z**2/2 + 3*z. Let v(q) be the first derivative of x(q). Find the third derivative of v(r) wrt r. 360*r**3 Let t = 1 - -1. What is the third derivative of -3*r**3 - r**2 + 2*r**3 - 3*r**2 + 2*r**t wrt r? -6 Suppose -4*p + a + 2*a = -6, -4*p + a + 10 = 0. Find the third derivative of 2*m + 0*m - 2*m - 6*m**p + 4*m**2 wrt m. -36 Find the second derivative of 39*r**3 + 28 - 3*r - 57 + r - 6 wrt r. 234*r What is the derivative of -27 + 40 - 29 + 2*a**2 wrt a? 4*a Let v(d) be the second derivative of 55*d**4/12 - d**3/2 - 3*d**2 + d + 37. Find the second derivative of v(n) wrt n. 110 Let r(o) be the third derivative of o**9/7560 - o**6/180 + o**4/6 - 5*o**2. Let k(b) be the second derivative of r(b). Find the second derivative of k(q) wrt q. 24*q**2 Let d(y) = y**4 + y**2 + y - 1. Let i(b) = 43*b**4 + 5*b**2 + 2*b - 19. Let p(l) = 2*d(l) - i(l). Find the third derivative of p(g) wrt g. -984*g Let a(h) be the third derivative of h**9/28 + 3*h**5/10 + 9*h**2. Find the third derivative of a(c) wrt c. 2160*c**3 Let j(s) be the first derivative of -s**4/2 - 13*s**2/2 + 10. What is the second derivative of j(k) wrt k? -12*k Let c(x) = 3*x**2 + 7*x - 5. Let n(d) = 2*d - 2*d**2 - 4 + 5*d**2 + 4*d. Let p = -10 + 6. Let t(j) = p*c(j) + 5*n(j). Find the second derivative of t(q) wrt q. 6 What is the third derivative of -103*i**5 + 103*i**5 + 18*i**6 + 26*i**2 wrt i? 2160*i**3 Let q(j) be the third derivative of -j**7/105 + 2*j**3/3 - 7*j**2. Differentiate q(m) with respect to m. -8*m**3 What is the second derivative of -31 + 8*a**3 - 2*a**2 - 25*a**3 - 6*a**3 + 2*a + a**2 wrt a? -138*a - 2 Let v be 3/(-15) + (-42)/(-10). What is the third derivative of 25*f**3 - 26*f**3 + v - 4*f**2 - 4 wrt f? -6 Let c = 11 + -8. Find the second derivative of -1 + m**c + 1 + 8*m**3 + 3*m wrt m. 54*m Find the third derivative of -5*o**4 - 8*o**2 + 2*o**4 + 6*o**2 - o**4 wrt o. -96*o Find the second derivative of 3*q**5 + 25*q + 5*q**5 - 9*q - 17*q**5 wrt q. -180*q**3 Let b = -9 - -12. What is the first derivative of -2 + 7 - t**b + 0 wrt t? -3*t**2 Let x(k) be the third derivative of 13*k**6/120 + 2*k**5/15 - 15*k**2. Find the third derivative of x(y) wrt y. 78 Find the second derivative of -19*f**2 - 2 + 16*f**2 - 48*f**2 - f + 8 wrt f. -102 Let r(n) be the second derivative of -n**7/42 - 5*n**4/12 - 19*n. What is the third derivative of r(t) wrt t? -60*t**2 Suppose -11 = -5*r + 4. What is the first derivative of 2*u**r + 7 - 5*u**3 - 10 wrt u? -9*u**2 Let l(q) = -q**3 - 8*q**2 + 10*q + 11. Let o be l(-9). What is the second derivative of -2*j**2 + 0*j**2 + 2*j - j + o*j wrt j? -4 Let k(s) be the third derivative of s**8/2240 + s**6/720 + s**4/24 - s**2. Let d(a) be the second derivative of k(a). Find the second derivative of d(o) wrt o. 18*o Let y(w) be the third derivative of 0 - 3*w**2 + 0*w - 1/6*w**3 - 1/8*w**4. What is the first derivative of y(v) wrt v? -3 Let u be 4/2 + (0 - 0). Suppose -b - u*b = 0. Find the second derivative of 0 + g + b - 3*g**4 wrt g. -36*g**2 Let x(u) = -u**2 - 2*u + 3. Let b be x(-5). Let m = -9 - b. Differentiate 0 - 2*o + 3*o + 1 + m*o wrt o. 4 Let i(g) be the third derivative of -g**5/15 - g**4/12 - 5*g**2. Find the second derivative of i(d) wrt d. -8 Let t(c) be the second derivative of 0 + 1/21*c**7 + 0*c**2 + 0*c**6 - 1/6*c**4 + 0*c**5 + 7*c + 0*c**3. Find the third derivative of t(g) wrt g. 120*g**2 Suppose 3*r = -9*g + 4*g - 19, 13 = 4*r - g. Find the third derivative of 9*c**6 - 2*c**6 + 3*c**6 - c**r wrt c. 1200*c**3 Let h(s) = 37*s**4 + 17*s**3 - 17*s - 91. Let g(p) = -12*p**4 - 6*p**3 + 6*p + 30. Let o(x) = 17*g(x) + 6*h(x). Differentiate o(w) with respect to w. 72*w**3 Let o(r) = 61*r**2 + 11*r - 110. Let h(l) = 21*l**2 + 4*l - 37. Let n(b) = 17*h(b) - 6*
{ "pile_set_name": "DM Mathematics" }
n divisor of c and 13. 13 Let q be (1 + (-6 - -2))/(9/24). Suppose -5*f + 0*f = 70. Let v = q - f. What is the highest common divisor of 12 and v? 6 Suppose -4*y + 29*z + 120 = 33*z, -5*y + 2*z = -150. What is the highest common factor of y and 78? 6 Suppose 3*k = 12, -5*o + 7*k - 7 = 4*k. Suppose -55 + 60 = 5*q. What is the greatest common divisor of q and o? 1 Suppose 0 = -40*k + 3518 + 3442. Calculate the highest common divisor of k and 812. 58 Suppose -44*h = -32*h - 156. What is the highest common divisor of h and 104? 13 Let x(c) = -2*c**3 - 7*c**2 - 6*c + 20. Let k be x(-2). Calculate the greatest common factor of k and 2740. 20 Let q(t) be the first derivative of 11*t**2/2 + 108*t - 14. Let b be q(-8). Suppose -d = -4*d + 300. Calculate the greatest common factor of d and b. 20 Let l(z) = -17*z**2 + 135*z + 2. Let i be l(7). Calculate the greatest common divisor of 494 and i. 38 Suppose z - 3 = 0, 174 + 27 = 3*s + z. What is the highest common factor of s and 297? 33 Let w(d) = -2*d**2 - 3*d + 8. Let s be w(-6). Let j be 1 - (-2 + 5 + s). Suppose 7*h - 15*h + 88 = 0. What is the highest common divisor of j and h? 11 Let v(h) = h**3 - 3*h**2 - 42*h + 24. Let c be v(9). Calculate the greatest common factor of 96 and c. 12 Let t(h) = -h**3 - 2*h**2. Let d be t(-1). Let i(r) = 12*r**2 - 2*r - 2. Let o be i(d). What is the highest common factor of o and 48? 12 Suppose 4*f - 22 + 10 = 0. Let c be 2 - (0 - (1 - 2)). Calculate the greatest common divisor of f and c. 1 Let d(k) = 4*k**3 - 9*k**2 + 19*k + 15. Let j be d(5). Calculate the greatest common factor of 35 and j. 35 Let b(m) = -166*m - 4113. Let y be b(-25). Let p(u) = 38*u**2 - 2*u + 1. Let z be p(1). Calculate the greatest common divisor of y and z. 37 Let g = 134 - 122. What is the greatest common factor of 44 and g? 4 Suppose 632 = 2*o - 4*z, -4*o + 1252 = 71*z - 75*z. Calculate the highest common divisor of 30 and o. 10 Suppose -k - 4*i + 8 = -5*i, 0 = -3*k + 4*i + 23. Suppose 16 + k = t. Let l be t - 0 - 10/(-5). Calculate the highest common divisor of 9 and l. 9 Let j be 0 + 4 - (12 + 20/(-2)). Calculate the highest common divisor of 9 and j. 1 Let a = -5 + -32. Let z = 3 - a. Suppose 0*s - z = -5*s. What is the greatest common factor of 40 and s? 8 Let t(r) = 4*r**2 + 3*r. Let n be t(-2). Let f = -3 - 0. Let j be (-192)/(-40)*(-50)/f. Calculate the greatest common divisor of j and n. 10 Let y = -166 + 179. Let g be 18/4*52/6. What is the greatest common factor of y and g? 13 Suppose 0 = -4*k + 285 - 53. Calculate the highest common factor of 754 and k. 58 Let i(s) = 5*s**2 + 20*s - 109. Let h be i(7). What is the highest common divisor of h and 115? 23 Let i(c) = -c + 1. Let r be i(3). Let s be 6 + 0/r - 4. Suppose -s*x + 5*x - 4*p = 144, 0 = 3*x + 3*p - 144. Calculate the greatest common factor of 120 and x. 24 Let w = 1 + 8. What is the greatest common divisor of 171 and w? 9 Let n(q) = 4*q**2 - 3*q + 1. Suppose -2*j - 10 + 2 = 0. Let w be j + 4 + 4 + -1. Let k be n(w). Calculate the highest common divisor of 7 and k. 7 Let r(u) = -3*u + 19. Let l be r(0). What is the greatest common divisor of 38 and l? 19 Suppose -5*g = -2*x - 514, 0*g - x = 3*g - 315. Suppose 4*n + 21 - 53 = 0. Calculate the greatest common divisor of g and n. 8 Suppose 3*t = 7*t - 160. Let g(j) = 3*j**2 - 10*j**2 - j + 1 + 5*j**2 + 2*j**3 + 1. Let z be g(2). Calculate the highest common factor of z and t. 8 Suppose -3*x = -2*x - 7. Suppose -2 = 5*n + 8, 0 = -5*q + 2*n + 319. Calculate the highest common factor of x and q. 7 Suppose -4*k - 5*s + 956 = 110, 5*k + 3*s - 1051 = 0. Suppose -3*x - x + 76 = 0. What is the greatest common divisor of k and x? 19 Let y(p) = -15*p + 12*p**2 + 4*p**3 + 5*p**2 + 17 - 4*p**2 - 3*p**3. Let k be y(-12). What is the greatest common divisor of 31 and k? 31 Let p be (207/27)/(4/12). Calculate the greatest common factor of p and 46. 23 Suppose -5*h + 740 = -5*z, -z = -3*h + z + 440. Let o be 60/(-8)*(-24)/10 - (-14 + 14). Calculate the greatest common divisor of o and h. 18 Let w(z) = -z**3 + 7*z**2 + 5*z + 9. Let o be w(8). Let b be (-66)/o - 2/5. Calculate the highest common factor of b and 32. 4 Let d(x) = 5*x - 10. Let p be d(18). Calculate the greatest common divisor of p and 50. 10 Suppose 0*a - 4 = -2*a. Suppose a*b + 365 - 125 = 0. Let q = -72 - b. What is the greatest common factor of q and 12? 12 Let f = 185 - 163. Calculate the greatest common divisor of 77 and f. 11 Let o = -28 + 62. Let z be ((-9)/(-2))/(1/o). Let j = 2 + 15. Calculate the greatest common factor of z and j. 17 Let f be 205 + (6/(-3) - 0). Let r = f - 143. Let o = -33 - -53. Calculate the highest common divisor of r and o. 20 Let j(c) = 3*c**3 + c**2 - 2*c + 1. Let g be j(1). Suppose t = -g*t + 60. Calculate the highest common factor of 3 and t. 3 Let g be (-8 - -3) + 2 - 1. Let n be (-28)/6*6/g. Suppose -2*j + y - 2*y = 1, 3*y + 10 = j. What is the highest common divisor of n and j? 1 Let q = -131 + 132. Let l = 27 - 19. What is the highest common divisor of q and l? 1 Let p be 214 + (8/6 - (-9)/(-27)). Calculate the highest common divisor of p and 86. 43 Let a be (-6)/15 + (-27)/(-5). Suppose a = -3*y + 26. Suppose -y*s = -2*s - 40. What is the greatest common divisor of 72 and s? 8 Let v be 2/(-8) + 2/8. Suppose 4 = 3*l - 2*u, v = -2*l - 3*u - 7 + 27. Let m(n) = -18*n - 458. Let h be m(-26). Calculate the greatest common factor of l and h. 2 Let v = -17 + 14. Let k be 83 + (v - 12/(-3)). Calculate the greatest common factor of k and 21. 21 Let p be 193154/1955 + ((-16)/(-10))/(-2). Suppose z = 6 + 8. What is the greatest common divisor of z and p? 14 Let u(f) = 2*f**3 + 27*f**2 + 2*f + 40. Let j be u(-12). What is the greatest common factor of 28 and j? 28 Let v(z) = 3*z**3 - 23*z**2 - 5*z - 18. Let h be v(8). Suppose 5*u - 2*u - 27 = 0. What is the greatest common divisor of h and u? 3 Let r = -221 - -243. What is the highest common divisor of 594 and r? 22 Let p(h) = -h**2 - h + 2 - h + 0*h**2 + 6*h. Let r be p(8). Let i = 42 + r. Calculate the greatest common factor of i and 36. 12 Let j be (1*4)/(24/126). What is the highest common divisor of 2 and j? 1 Let f(m) = -2*m**2 + 21*m + 28. Let r be f(10). Let c = 237 - 142. Calculate the highest common divisor of c and r. 19 Let q = 13 - 9. Suppose -3*j + 3*i = -4 - 2, -q*j - 3*i = -22. Suppose 4*n - 8*n + 8 = 0, 0 = 4*y + 3*n - 134. What is the highest common divisor of y and j? 4 Let g(d) = 4*d**3 - 178*d**2 - 88*d - 77. Let u be g(45). Let x(j) = 30*j**2 - 3*j + 3. Let k be x(2). Calculate the highest common divisor of k and u. 13 Let i(d) = -3*d + 32. Let u be i(6). Calculate the highest common factor of 378 and u. 14 Suppose 0 = 3*m + 2*l - 79, 3*m = -4*l + 30 + 53. Suppose 3*p = -4 + m. Calculate the highest common divisor of 63 and p. 7 Let p = -440 - -1412. Calculate the greatest common divisor of 54 and p. 54 Let u be (-12)/8*(-644)/6. Let w = 1379 + -1356. Calculate the highest common factor of u and w. 23 Let p(a) = a**3 + 8*a**2 - 10*a - 91. Let c be p(-7). What is the highest common factor of 140 and c? 28 Suppose 0 = -12*b + 21*b - 648. Calculate the highest common divisor of 180 and b. 36 Suppose 0 = 82*b - 416 - 978. Let o(q) = -q**2 - 8*q - 4. Let m be o(-5). Let s = m + b. Calculate the highest common factor of s and 7. 7 Suppose 3*f = 6, f + 51 = 5*n - 62. Suppose 8*t - 1117 = 539. Calculate the highest common factor of t and n. 23 Let l(j) = j**3 - 4*j**2 + 3*j + 2. Let v be l(3). Suppose v*b - 57 = 63. What is the highest common factor of b and 24? 12 Let u(j) be the first derivative of j**3/3 - 2*j + 4. Let p be u(-3). Calculate the greatest common divisor of 7 and p. 7 Let t = -3265 + 3307. What is the greatest common divisor of t and 90? 6 Let w(d) = -2*d**3 - 6*d**2 + 9*d + 1. Let r be w(-6). Let n = -51 + r. What is the highest common factor of 14 and n? 14 Let w = 99 - 98. What is the greatest common divisor of 14 and w? 1 Let q(u) = 9 + 2*u - 3*u - 5*u. Let d be q(-5). Calculate the greatest common divisor of 13 and d. 13 Let t be 2 + 1 + 63 + (18 - 21). Calculate the greatest common divisor of 18 and t. 9 Let n = 244 - 196. What is the highest common divisor of n and 32? 16 Let f be (4/18)/((-14)/(-378)). What
{ "pile_set_name": "DM Mathematics" }
116*w = -810 + 3130. Solve -p + 3 = -n - 2, -4*p = 4*n - w for p. 5 Suppose 4*b - 5*j + 3*j - 90 = 0, -4*b = 2*j - 70. Suppose -f - 3*f - q + b = 0, 0 = 4*q. Solve -f*z + i + 10 = -11, 0 = 5*z - 4*i - 9 for z. 5 Suppose 6*a - 7*a - 34 = 0. Let f = -29 - a. Suppose 3*i - 9 = -f*c, -27 + 12 = -5*i. Solve 4*d - 3*b - 19 = c, 2*b - 10 = -5*d + 2*d for d. 4 Suppose -3*i + 13*m + 21 = 10*m, -m + 4 = 0. Solve 4*v + d = 11, -3*d = 2*v - i + 8 for v. 3 Let f be 3 - (-10)/(-4) - (-813)/2. Let p = 409 - f. Solve 4*s = p*m - 12, 0 = m + 2*m + 3*s + 9 for m. 0 Suppose -20 + 20 = -y. Let x be (-14 - -9)*(1 + y)*-1. Solve 4*c + 21 = -w, -3*c - x*w + 9 - 46 = 0 for c. -4 Suppose 2*n = n + 5. Let m(j) = -j**2 + 7*j - 6. Let q be m(n). Let g = 37 - 34. Solve -i + 27 = -q*y - y, g*i = 4*y + 26 for i. 2 Let p(s) = s**3 + 6*s**2 + 59*s + 486. Let d be p(-7). Solve 3*h - 9*n = -4*n - 26, 2*h - 5*n + d = 0 for h. -2 Let h(k) = k**3 + 3*k**2 - 7*k + 13. Let q be h(2). Suppose -q*g + 507 = 20*g. Solve -c + 3*t + g = 0, -5 + 15 = -2*c - 3*t for c. 1 Let p(s) = -s**3 + 67*s**2 - 60*s - 392. Let d be p(66). Solve g + g = -3*y + 4, -d*y = 2*g - 8 for y. 4 Suppose -3*g = -15, 5*g + 8 = n + 30. Solve 0 = 4*u - 4*s - 8, 5*u = s + 1 - n for u. -1 Suppose 553*k = 390*k. Solve 3*o + 5*c - 17 = 0, k = -5*o + 7*c - 5*c - 13 for o. -1 Let i(s) = -7*s - 4 + 3*s - 18*s - 4. Let x be i(-3). Let r = -46 + x. Solve 0*n + r = -3*n, -4*n - 21 = 5*t for t. -1 Suppose -2*m + 2*i = -14, -118*m + 113*m = -4*i - 30. Solve -2*d + m*q = 12, 4*d - 293*q = -292*q - 15 for d. -3 Let w be ((-15)/25)/(1*(-1)/30). Let a = -45 + 49. Suppose -a*y = 3*p - 22, -2*y + 6*y - 8 = 4*p. Solve -2*s + 3*s = -4*f + w, y*s = -f + 12 for s. 2 Let y(u) = -u - 2. Let s be y(-4). Let t be -3 - (s - (-32)/(-4)). Suppose 3*v + 2*c - 4 = 0, v - 9 = c - 1. Solve -i - 6 = v*x + i, -t = -3*x + i for x. 0 Suppose -3*w - 4*r - 72 = 0, -r = -4*w + 9*w + 137. Let m = -32 - w. Let z be (18/24*m)/((-6)/10). Solve 0 = z*c - 3*j - 21 + 7, 3*c = 5*j + 2 for c. 4 Let l(p) = 16*p - 30. Let y be (4*(-10)/120)/(1/(-6)). Let w be l(y). Solve -4*k + 28 = 4*f, -w*f + 3*k + 2 = 13 for f. 2 Let o(g) = g**3 + 9*g**2 + 16*g + 14. Let c(j) = -38*j - 7. Let r be c(0). Let k be o(r). Solve k = 5*m + v + v - 28, v - 4 = 0 for m. 4 Suppose 0 = 4*w + 13*w + 10*w. Suppose 3*x = v - 2*x - 20, w = -4*v + 2*x + 26. Solve v*o = 3*y + 2, 0 = -5*o - 5*y + y + 9 for o. 1 Let r be ((45/(-12))/5)/((-99)/264). Solve p + r*z = -56 + 54, 4*p = z + 1 for p. 0 Let s(n) = -10*n**2 - 9 - 12 - 35 + 4*n + n**3 + 18. Let h be s(10). Solve u + 3*q = 5 - h, 3*q - 3 = 2*u for u. 0 Suppose 5*i - 2*i = 60. Suppose 7*r = 2*r + i. Suppose 0 = 149*s - 167 - 282 - 232 + 85. Solve -2*b = -s*x - 4, r*b + 3*x + 5 = 13 for b. 2 Let n be (39 + -38)/(1 + 12/(-14)). Solve 0 = w + 1, -p = n*w - 4*w + 1 for p. 2 Let l be -1*(4 + (-16)/4). Suppose -7*b + 8 - 561 = l. Let r = b - -99. Solve -4*j + 0*c + r = -5*c, c = 0 for j. 5 Let f(q) = q + 14. Let h be f(10). Suppose 5*i - 3*c + h = 10*i, -c + 15 = 4*i. Solve 2*k + 14 = i*p - p, 2*k + 6 = -2*p for k. -5 Suppose 0 = -4*b + 5*o - 16 + 3, 5*o = 25. Suppose b*l - 6 = 0, 134*r - 18 = 130*r - 3*l. Solve -a + j = -2, -6*a = -a - r*j - 16 for a. 5 Suppose a - 1 - 1 = 0. Suppose -2*g - 5*h = -2*h - 9, 5*g - 2*h = 51. Solve a*m + 4*q - 6 = 0, 3*m - g = -0*m + 3*q for m. 3 Suppose -20*p + 0*p + 215 + 165 = 0. Solve -3*s + 9 - 6 = 3*b, 0 = -5*b + s - p for b. -3 Let u(o) = -o**2 - 67*o - 33. Let z be u(-23). Let h = -979 + z. Let d be ((-6)/(-4))/(3/8). Solve 3*q + 14 = 2*p - h*p, -3*p + 4 = d*q for p. 4 Let q be 44/(-66) + -2 + (-69)/(-9). Let j(h) = 3*h + 2*h - 4*h + 4. Let t be j(0). Solve 30 = t*i - 4*c + 2, -q*i + 4*c = -32 for i. 4 Suppose 3*d + 6*k - 98 = 8*k, -5*d - 4*k = -134. Let g be 6/d - (-484)/55. Solve -2*j + 6 = -h - 5, -2*j - h = -g for j. 5 Let q = 12834 - 12816. Solve -q = 27*r - 28*r - 4*h, -5*r = -h - 6 for r. 2 Let p(d) = -4*d**3 - 2*d**2 + 2*d + 3. Suppose -x - 3 = -5*c + 3*x, c = -x - 3. Let v be p(c). Solve -4*f - 2 = 3*m + v, -2*m + f + 15 = 0 for m. 5 Let x(s) = s**3 - 34*s**2 + 93*s + 33. Let o be x(31). Suppose -10*t - t = -o. Let c(d) = 3*d**2. Let a be c(-1). Solve -j + t*z = 8, -a*z = -z - 2 for j. -5 Suppose 17*d = -9*d + 4*d. Suppose 3*k + k = -5*h - 20, 5*h + 2*k = -20. Let l be -2 + h/8*-4. Solve d = -2*v - l*v + 4*q, q = -2*v - 5 for v. -2 Let h = -3 + 5. Suppose b = 1 + h. Let u(d) = 2*d**2 - d - 7. Let a be u(4). Solve -o = -b*s + 13, 3*o = 4*s - s - a for s. 3 Let j(q) = -q**3 - 5*q**2 + 7*q + 9. Let p = 9 - 0. Suppose -4*a = t + 2, 2*t = 3*a - p - 6. Let m be j(t). Solve -m*u - 12 = 0, 0*u = 4*k + 4*u + 28 for k. -3 Let z = -1008 + 968. Let u = -31 - z. Solve -5*k - 5 = 4*o - u*o, 5*k - 2*o + 2 = 0 for k. 0 Suppose m - 3*x + 0*x = 0, -2*m - 4*x + 20 = 0. Solve -84*j + 2*q - m = -80*j, q = -5*j + 3 for j. 0 Let n be (0 - -5) + (-4 - -5). Let c(l) = l**2 - 17*l + 2. Let v be c(n). Let o be v/(-36) + (-8)/(-36). Solve -5*w - o*p = -w + 14, -w - 2*p = 8 for w. -2 Let d be (8 + 242/(-33))*(-443 + -1). Let i = d + 298. Suppose 7*f - 3*f = 20. Solve 15 = -f*o - 5*m, m + i = o - 1 for o. 0 Let y = -36 - -41. Let v be 8/y - (-6)/15. Suppose -56 = -v*u - 0*u. Solve -x - 2*q = 0, -3*q - q + u = -5*x for x. -4 Let a = 34 - 22. Let u be -3*(-2 + a/9) - -3. Suppose -5*c - 25 = u*o, -4*o - 2*c - 4 = 6. Solve 0 = k - o*k + g + 1, 2*g = -k - 4 for k. 2 Suppose -m = -5, -4*u + 0*m + 2*m + 2 = 0. Suppose 2*c + 2 = 0, 2*q + c + 0*c + 2433 = 0. Let n = q + 1221. Solve -5*f = n*d, -1 + u = -5*f - 4*d for f. -2 Let x = -8955 - -8959. Solve -3*h + 10 = 5*s - 0*s, -4*h = -x*s - 24 for h. 5 Let k be (-330)/(-4)*(-5 + 4 + 5). Suppose 2*r + 3*a - 132 = 0, 5*r - 6*a + 7*a - k = 0. Suppose r - 71 = -b. Solve -u = -2*u + m, -2*u + b*m - 3 = 0 for u. 1 Let a(b) = -b**3 - b**2 + b + 19. Let n be a(0). Solve 3*o - 17 = -5*u, 17*o - n*o = 4*u - 12 for u. 1 Let u = 27 - 8. Suppose -3*p - 5*z - 23 = -5*p, 2*p + 3*z = 15. Solve -2*r - 8 = -5*f + p, 4*r - 5*f + u = 0 for r. -1 Suppose 4407*o - 4409*o = -3*r - 28, 0 = -10*o + 3*r + 44. Suppose -5*u - 7 + 4 = -n, u + 3*n - 9 = 0. Solve 24 = -2*x - 4*i, o*x - 21 = 5*i - u*i for x. -2 Suppose 27*r - 20 = 26*r. Let a be (-4)/(-5) - ((-144)/r - -3). Solve u + 9 = a*u + 5*f, -4*u + 4 = 4*f for u. -4 Suppose -3*h = -2*m - 12, 205*h = 201*h - m + 5. Solve -3*w = 4*g - 2, -g + 4 = h for w. -2 Let z(j) = 6*j + 51. Let p be z(-6). Suppose -2*i - 3*v = 9, -6*v = -5*i - v + p. Solve i = -0*g + g + d - 2, -g = 4*d - 8 for g. 0 Let u(o) = -2*o**2 - 40*o + 603. Let n be u(-30). Solve -4*v = 3*p + 31, n*v + 162*p + 22 = 161*p for v. -7 Let d = -67 - 1. Let v = d - -70. Suppose -2*b = 2*j - 10, 3*j - 4 = v. Solve -5*m + 18 + 32 = 5*t, -3*m + b*t = 0 for m. 5 Suppose 220 = -6*m + m. Let c be m*(-2)/(-2)*45/(-20). Suppose -4*o + c = 79. Solve 3*f - 5*b - 6 = f, -o*b = 4*f + 18 for f. -2 Let d = -1406 + 1411. Solve d*w + 20 = -5*o, 0*o + 3*w + 2 = -o for o. -5 Let d be ((-1065)/426)/((2 - -1)/(-6)). Solve -2*j - 28 = d*b, -b - 16 = 2*b + j for b. -4 Suppose 1628*z = 1626*z - 5*y + 22, 3*z + 3*y = 24. Solve z*a = -2*h + 4*a + 16, a + 10 = 5*h for h. 3 Suppose 5*v - 4*a = -490, 3*a = 4*v + 91 + 302. Let k = v - -105. Solve -3*r - 1 = 5*i, i - k*i - 2 = 2*r for i. 1 Let d = 11 + 15. Suppose -z - 5*n = -2*z + 26, -z - 2*n + d = 0. Let c be 212/z + 1/(-26)*4. Solve 5*w = 4*t - 2*t - 24, w - 2*t = -c for w. -4 Let c(r) = -173*r - 4842. Let y be c(-28). Suppose 5 = 2*u - 3. Solve 2 = u*w - y*m + 16, w + 11 = 2*m for w. -1 Let n(o) = -o**3 - 7*o**2 - 36*o - 97. Let g be n(-5). Solve 5*p = 4*s + g, -3*p + 7*p - 16 = -2*s for s. -2 Suppose -2*m = -m. Suppose 0 = -3*r + 9. Suppose 3*z = -4*j + 14 + 1, -2*j + 15 = r*z. Solve 3*u = m, x - z*u - 3 + 4 = 0 for x. -1 Let k(m) = -57*m + 471. Let q be k(8). Solve 2*c - 16 = -4*h, 0 = -3*h - 2*c - 1 + q for h. 2 Let a be (4/5)/((-3)/(-150) + 0). Suppose 2*o = -t - 1 - 12, -4*o - a = 4*t. Let n be (2 - t/(-3))/(3/(-45)). Solve -2 = f - 3, -n*y + 19 = -f for y. 4 Let r be (2 - 1*(-16)/4) + -4. Suppose -5*s = u - 3, 3*s + 15 = 3*u + r*u. Solve 0 = 2*a - a + 5*p - 12, 2*a + u*p - 3 = 0 for a. -3 Let f(k) = k**3 + 6*k**2 - 46*k + 12. Let h be f(-10). Let t = h + -72. Solve -4*j + 8 =
{ "pile_set_name": "DM Mathematics" }
2*y**4 + y**4. 9*y**4 Expand (-3 + g + 3)*(3 + 1 - 2) - 2*g + g + 5*g + 2*g. 8*g Expand (g**3 + 0*g**3 - 3*g**3)*((-3*g + g + 0*g)*(4*g - 4*g - 2*g) + g**2 - g**2 - g**2). -6*g**5 Expand 0*u**4 + 9*u**4 - 2*u**4 + 3*u**4 + u**4 - 2*u**4 + 0*u**4 + 4*u**4 - 3*u**4 + (u - 4 + 4)*(-3 - 2*u**3 + 3) + (2*u**4 - u**2 + u**2)*(2 + 2 - 1). 14*u**4 Expand (3*w**2 - 4*w**2 + 3*w**2)*(0 + w + 0) + (-4*w - 2*w**2 + 4*w)*(-17 + 17 + 4*w). -6*w**3 Expand (0*h**2 + 4*h**2 - 2*h**2)*(-2 + 2 + 2*h) + (-2*h**3 - h**2 + h**2)*(3 + 0 + 5). -12*h**3 Expand (-6*m**2 + m**3 - 3*m - 2*m**2 + 15*m**2)*(0*m + 0*m + m**2). m**5 + 7*m**4 - 3*m**3 Expand (0*r**2 + r**2 + 0*r**2)*(-r + 2*r - 2*r) - r**3 + 4*r**3 - r**3 - 1. r**3 - 1 Expand (9 - 4 - 1)*(5*q - 2*q - q). 8*q Expand -5*i**2 + 2*i**2 + 4*i**2 + (3*i - 7*i + 0*i)*(-3*i + 3*i + 2*i). -7*i**2 Expand -3 + 2 - o**4 + 4 + 3*o - 3*o + 2*o**4 + (-3*o**2 + 4*o**2 - 2*o**2)*(3*o**2 - 5*o**2 + 0*o**2). 3*o**4 + 3 Expand (-2*b**2 + b**2 + 3*b**2 + (3*b + 0*b - 2*b)*(b + 1 - 1))*(-5 - 6 + 3). -24*b**2 Expand (-2*q - q - q)*(-q**4 - q**4 + 3*q**4) - 5*q**5 - 2*q**5 + 6*q**5 + 4*q**5 - 3*q**5 + q**5. -3*q**5 Expand -5*l**2 + 3*l**2 + l**2 + (2*l + 2*l - 3*l)*(-l + 2*l - 2*l) - 6*l**2 + 4*l**2 + 0*l**2. -4*l**2 Expand (-29 + 3*s + 29)*(-4*s**2 + 4*s**2 + 2*s**4 - 2*s**2). 6*s**5 - 6*s**3 Expand f**4 + f**4 - 6*f**4 - 3*f - 4*f**4 + 3*f + (-2*f + 5*f - f)*(4*f - 4*f + f**3) + 0*f**4 + 2*f**4 - f**4 + 3*f**4 - 1 + 1. -2*f**4 Expand (2*b - 6*b + 3*b)*(-4 + b + 2 - 6*b). 5*b**2 + 2*b Expand (2 + 2 - 5)*(-2*y**2 - y**2 + 4*y**2) - 2*y**2 - 2 + 2 + (2*y - 5*y + y)*(y - y + 2*y) - 243*y + 243*y - 14*y**2. -21*y**2 Expand (3 + 3 - 5)*(4*a - a - a) - 11 - 7*a + 11. -5*a Expand -3 + 2*c**3 + 3 + (2*c**2 + 0 + 0)*(c - 4*c + c) + (-3*c**2 + c**2 - 2*c**2)*(-1 + 3*c + 1). -14*c**3 Expand (-1 + 0 - 1)*(5 - 5 + 5)*(-2*z + 2*z - 6*z). 60*z Expand (w**3 - 2*w**3 + 2*w**3)*(10 + 13 - 3). 20*w**3 Expand 8 + 4*s - 3*s - 3*s + (0 + 1 - 3)*(-2*s + 2*s + 2*s) + 2 - 2*s - 2. -8*s + 8 Expand ((0*a - a**2 + 0*a)*(-3 + 1 + 1) + 0 + 0 - 2*a**2)*(0*a**2 + a**2 - 4*a**2). 3*a**4 Expand -5*z + 6*z + z + (-1 - 2 + 0)*(0*z - z + 3*z). -4*z Expand (-2*a + 8*a + 8*a)*(5*a - 4*a - 3*a). -28*a**2 Expand -3 + 5 - 2*s - 3 + (1 - 1 + 3)*(4*s - 3*s + 3*s). 10*s - 1 Expand (-1 + 2 - 8)*(-6*v + 2*v + v). 21*v Expand (-1 - 3 + 2)*(10*y - 2*y + 15*y). -46*y Expand (0*r**2 + 3*r**2 - 2*r**2)*(-2*r**2 + 1381 + r**2 - 1375). -r**4 + 6*r**2 Expand (-4*x + 2*x + x)*(4 - 1 - 1)*(9*x**3 + 6*x**3 - 31*x**3). 32*x**4 Expand (-6 + 4 + 1)*(-4 + 3 + 3)*(-2*y + 2*y + y). -2*y Expand (-6*g + 4*g**2 + 6*g)*(3*g + g - 2*g) + 4*g**3 - 3*g**3 + 0*g**3 + 2*g**3 + g - g - g**3 + 5*g**3 - 3*g**3 + (3*g + 0*g - 2*g)*(3*g + 2*g**2 - 3*g). 14*g**3 Expand (3*m - 6*m - m)*(1 - 1 - m**2) - 2*m**3 - 2*m**3 + 8*m**3 + 3*m**3 - 5*m**3 + 0*m**3. 6*m**3 Expand 4*j**3 - 2*j**3 - 4*j**3 + (-2*j + 7*j - 4*j)*(-3*j**2 + 0*j**2 + j**2) + (-1 - 5 + 1 + 1 - 2 - 1 + (2 + 3 - 3)*(2 - 5 + 1))*(-4*j**2 - 3*j**3 + 4*j**2). 29*j**3 Expand (-2 - 3 + 6)*(2 - 5 + 2)*(-3*g + 2 - 2). 3*g Expand (-9*w**2 - 6*w**2 + 6*w**2)*(-3 + 4 + 0) + (5*w**2 - 2*w**2 - w**2)*((-1 - 2 + 1)*(4 - 3 + 1) - 4 + 2 + 3). -15*w**2 Expand (3 - 2 + 1)*(-5*a + 3*a + 0*a) - 3*a - 3*a + 4*a + (2*a - 2 + 2)*(-3 + 11 + 3). 16*a Expand (2*k - 3*k + 2*k)*(-k - 4*k + 3*k)*(6*k + 2*k - k). -14*k**3 Expand 4*o**4 - o**3 + o**3 + 2*o**5 + (2*o - 2*o + 2*o)*(-5*o**4 + 3*o**4 - o**4). -4*o**5 + 4*o**4 Expand (3 - t - 4 + 3)*(3*t**4 + 0*t**4 + 2*t**4). -5*t**5 + 10*t**4 Expand (-q - q + 0*q)*(4*q + 6 - 6) + 4*q**2 + 3*q**2 - 5*q**2. -6*q**2 Expand ((0 + 5 - 4)*(-1 + 0 - 1) + (-2 + 7 - 4)*(4 - 1 - 5) + 0 + 0 + 1 - 4 + 4 + 2 - 4 + 3 + 3 - 4 + 4 + 1)*(k**4 + 2*k**2 - 2*k**2). 2*k**4 Expand (-1 + 3 + 1)*(-5*t + t + t)*(t**3 - t**3 - t**3). 9*t**4 Expand (2 - 2*x - 2)*(-1 - 1 + 1)*(-x**4 - x**4 + 6*x**4). 8*x**5 Expand (10*r + 3 - 5 + 1)*(0 - 2 + 0). -20*r + 2 Expand (0 - 2 - 1)*(3 + 0 - 5)*(-2*j + 4*j + 0*j). 12*j Expand 6 - 6 + 11*n**2 + (-3 + 5 - 3)*(2*n**2 - n**2 + 0*n**2) + 3*n**2 - n**2 - 3*n**2. 9*n**2 Expand (-1 - 1 + 3)*(-3 + 2 + 2)*(0 + 0 - 1)*(-8 - 14 - 1)*(5*o**5 - 4*o**5 - 2*o**5). -23*o**5 Expand (-10 + 4*j**2 + 17 - 8)*(2 - 2 + 1). 4*j**2 - 1 Expand -10*x - 17*x + 9*x + (3*x + 0*x - x)*((-3 - 1 + 2)*(-1 - 1 + 4) + 3 - 5 + 3 + (4 - 5 + 0)*(0 + 0 + 2) + 2 + 1 - 5 - 2 + 0 + 3). -30*x Expand (-t**3 + 0*t**3 + 3*t**3)*(-4 + 2*t**2 + 4) - 14*t**3 - t**5 + 14*t**3. 3*t**5 Expand (1 + 0 + 1)*(-3*z - z + 5*z) + (4 - 5 + 2)*(z + 0*z - 2*z) + 5*z + 2*z - 5*z. 3*z Expand (-15 + 2*s**2 + 15)*(7*s - s - 3*s) - 3 - 2*s**3 + 1 + 3. 4*s**3 + 1 Expand 0 + 3*z**5 + 0 + (z**2 + z**2 + 0*z**2)*(z**3 + 0*z**3 - 3*z**3). -z**5 Expand -4*t**5 + 3*t**5 - 2*t**5 + (t**3 + 2 - 2)*(-1 + 1 + t**2) + t**5 - 5*t**5 + 0*t**5. -6*t**5 Expand 2*h**4 - 4*h**4 + 4*h**4 + (-h**3 - 3*h**3 + 3*h**3)*(-4*h + 4*h - h) + 8*h**3 - 7*h**3 + 6*h**4 + h**4. 10*h**4 + h**3 Expand -u + 2*u + u - 4*u - 3 + 3 + (u + u - u)*(-5 + 5 - 2). -4*u Expand (14*i + 15*i - 37*i)*(2*i + 1 + 3*i**2 + 0 - 6*i**2). 24*i**3 - 16*i**2 - 8*i Expand (0*p**4 + 0*p**4 + 2*p**4)*((3 + 0 - 2)*(p - p + p) + 2*p - 3*p + 3*p + 3*p + 2*p - 3*p). 10*p**5 Expand (-y + 2*y + 0*y)*(-7 + 6 - 3*y + 2). -3*y**2 + y Expand (-60*l + 729 - 729)*(l**2 + l**2 - 3*l**2). 60*l**3 Expand (-3*w**4 + 5*w**4 + 4*w**4)*(0 + 0 - 1) + 2*w**4 + w**4 - 2*w**4 - w**4 + 2*w**3 - 2*w**3 + (-4*w**2 + w**2 + w**2)*(w - w - w**2). -4*w**4 Expand 4*u**5 - 1 + 1 + (1 - 1 - 2)*(1 - 1 - u**5). 6*u**5 Expand (-4*u**3 + 3*u**3 - u + 3*u)*(-5 + 1 + 2)*(-3*u**2 - 4*u**2 + 3*u**2). -8*u**5 + 16*u**3 Expand (4*q - q - 2*q)*(-q**3 - 3*q**3 + 2*q**3) + 2 - q**4 - 2 + 3*q - 3*q - 22*q**4 + (-q**3 + 1 - 1)*(1 - q - 1). -24*q**4 Expand (-2*t - 3 + 3)*(-12 - 11 - 1)*(t + 0 + 0). 48*t**2 Expand (-4*z**3 + 5*z**3 + z**3)*(z**2 + 2*z - 2*z + (0 - 2*z + 0)*(3*z - 2*z - 2*z) - 2*z**2 + 4*z**2 - 4*z**2). 2*z**5 Expand (1 - 2 + 3)*(-7 + 9 - 3*h - 5). -6*h - 6 Expand (-q + q - 2*q**3 + (3 - 1 - 1)*(0 + 0 - q**3) - q**3 + 0*q**3 + 3*q**3)*((2 + 0 - 3)*(0*q + 5*q - 4*q) + 1 - 1 - q). 2*q**4 Expand (k**2 - 1 + 1)*(k + 15 - 15 - 2*k**3) + k**5 - 4*k**5 + 2*k**5. -3*k**5 + k**3 Expand 0*r - 3*r**3 - 4*r + 3*r + (r - r - 2*r)*(0 + 0 + r**2). -5*r**3 - r Expand (-26*u**2 - 10*u**2 - 3*u**2)*(4*u**2 - 2*u**2 + 0*u**2). -78*u**4 Expand (-4*j**2 - j**5 + 4*j**2)*(-4 + 4 - 2). 2*j**5 Expand (-1 - 1 - 2)*(5*m - 4*m - 2*m) + 0*m + 2*m - m + (0 + 0 - 2*m)*(0 - 4 + 2). 9*m Expand (-f**2 + f**2 + 2*f**2)*(2 - 2 + 3*f) + 5*f**3 - f**3 - 2*f**3 - 5*f**2 + 5*f**2 + f**3. 9*f**3 Expand ((-d + d + d)*(-5*d + d + 3*d) + 2*d**2 - d**2 - 4*d**2)*(-5*d + 4 - 4). 20*d**3 Expand l - l**4 - l + 2 + l**4 + 2*l**4 - 8*l**4 + (l - 5*l + 2*l)*(2 - 2 - 2*l**3). -2*l**4 + 2 Expand 2*f - 4*f + 6*f + (0*f + 5*f - 3*f)*(-1 + 0 - 2)*(4 - 4 - 1). 10*f Expand (-3 + 3 + 2*g**2)*(g - g - g) + 433*g**2 + 13*g**3 - 433*g**2. 11*g**3 Expand (-3 + 3 + 6*p)*(-1 + 1 - 3*p) + p**2 + 0 + 0 + (-4 - p + 4)*(-2 - p + 2) + 4*p**2 + 2*p**2 - 5*p**2. -15*p**2 Expand ((0 - 3 + 5)*(-5 + 5 + 2*g) - 1 - 2*g + 1 + 3*g + 2*g - 3*g)*(-2*g + g + 1 + 2*g)*(-2*g**2 - 3*g**2 + 4*g**2). -4*g**4 - 4*g**3 Expand (-3 - 6*l + 1 + 5*l)*(5*l + 2*l - 2*l). -5*l**2 - 10*l Expand 2 - v**3 - 1 + 2*v**3 + (v**3 + v**3 + v**3)*(3 - 1 + 1). 10*v**3 + 1 Expand (4*s - 4*s - 2*s**2)*(-3*s**3 + s**3 - s**3). 6*s**5 Expand (37*y**4 - 37*y**4 + 10*y**5)*((-2 + 1 + 2)*(0 - 2 + 0) + 3 - 2 + 2 + (-2 + 0 + 0)*(0 + 0 - 2) - 4 + 1 + 2). 40*y**5 Expand (3 + 2 - 4)*(4 + 3 - 5)*(0*o**3 + 3*o**5 + 0*o**3 - 3*o + 3*o - o**5 + 3*o**3 - 3*o**3 - o**5 + (1 - 1 + o**4)*(-3*o + 0*o + o)). -2*o**5 Expand (-2*k + 0*k + 3*k)*(-2*k + k + 4*k) + (2*k + k - 2*k)*(-k + 0*k - k) + 12*k + 5*k**2 - 12*k. 6*k**2 Expand (0 + 3*u + 0 + (-3*u + 2*u + 2*u)*(4 + 0 - 2))*(-1 + 1 + u)*(-15 - 1 - 1). -85*u**2 Expand (3*v**3 - v**3 + 0*v**3)*(5*v - 5*v - 2*v**2 + 3). -4*v**5 + 6*v**3 Expand ((0 + 2 - 1)*(2 - 2 - 3) + 0 - 1 + 2 + 2 + 2 - 5 + (5 - 2 - 1)*(-2 - 1 + 4) - 2 + 3 + 1)*(-5*v - 5*v + v). -9*v Expand (4*m - 4*m - 4*m + (-1 - 5 + 3)*(-3*m - 5*m + 6*m))*(5*m - 2*m - 2*m). 2*m**2 Expand (-3 + 7 - 3)*(-2*o + o + 2*o) - 168 + 0*o + 172 + 6*o. 7*o + 4 Expand -7*r + 8*r + 3*r - 3 + 3 + r +
{ "pile_set_name": "DM Mathematics" }
e greatest common divisor of 1068 and 24. 12 Calculate the highest common divisor of 1480 and 540. 20 Calculate the highest common divisor of 2120 and 40. 40 Calculate the highest common divisor of 1975 and 25. 25 Calculate the greatest common divisor of 250 and 200. 50 What is the greatest common factor of 22 and 5? 1 What is the highest common factor of 42 and 1050? 42 Calculate the highest common factor of 8580 and 770. 110 What is the highest common divisor of 7168 and 28? 28 Calculate the greatest common factor of 42 and 6699. 21 What is the highest common factor of 18 and 2718? 18 What is the greatest common factor of 564 and 1551? 141 What is the highest common factor of 194 and 46? 2 What is the greatest common factor of 2224 and 16? 16 What is the greatest common factor of 4 and 839? 1 What is the highest common divisor of 18264 and 24? 24 What is the highest common divisor of 45 and 105? 15 Calculate the highest common divisor of 416 and 91. 13 Calculate the highest common factor of 132 and 30. 6 Calculate the greatest common divisor of 7 and 7. 7 What is the greatest common factor of 34 and 1666? 34 What is the highest common factor of 98 and 2996? 14 Calculate the greatest common divisor of 45 and 15. 15 Calculate the highest common factor of 270 and 702. 54 What is the highest common divisor of 518 and 336? 14 What is the highest common divisor of 169 and 104? 13 What is the highest common divisor of 18 and 48? 6 What is the highest common divisor of 8 and 1024? 8 Calculate the highest common divisor of 1020 and 7548. 204 Calculate the highest common divisor of 3323 and 1. 1 What is the highest common factor of 623 and 356? 89 Calculate the greatest common factor of 12 and 1644. 12 What is the greatest common factor of 237 and 711? 237 What is the highest common factor of 22 and 121? 11 Calculate the highest common divisor of 99 and 66. 33 Calculate the highest common factor of 279 and 124. 31 What is the greatest common factor of 54 and 594? 54 Calculate the greatest common divisor of 20 and 380. 20 What is the greatest common factor of 15 and 40? 5 Calculate the greatest common factor of 289 and 34. 17 What is the greatest common divisor of 6154 and 17? 17 Calculate the highest common factor of 3 and 321. 3 What is the highest common divisor of 12 and 222? 6 What is the greatest common divisor of 725 and 29? 29 What is the greatest common factor of 65 and 104? 13 Calculate the greatest common factor of 33115 and 370. 185 What is the highest common divisor of 40 and 1810? 10 Calculate the greatest common factor of 350 and 329. 7 Calculate the greatest common factor of 96 and 192. 96 Calculate the greatest common factor of 1269 and 9. 9 Calculate the greatest common factor of 355 and 5. 5 What is the highest common factor of 102 and 34? 34 What is the greatest common divisor of 495 and 270? 45 Calculate the greatest common divisor of 691 and 1. 1 What is the greatest common divisor of 189 and 14931? 189 What is the highest common divisor of 329 and 235? 47 What is the greatest common factor of 18 and 450? 18 What is the highest common factor of 22 and 35? 1 Calculate the highest common divisor of 14 and 4942. 14 Calculate the greatest common factor of 45 and 10. 5 Calculate the greatest common factor of 132 and 24. 12 Calculate the highest common factor of 28 and 224. 28 Calculate the highest common factor of 2479 and 67. 67 Calculate the greatest common factor of 672 and 40. 8 What is the highest common divisor of 392 and 56? 56 What is the highest common factor of 80 and 5? 5 What is the highest common divisor of 931 and 14? 7 Calculate the greatest common factor of 415 and 5. 5 What is the highest common divisor of 35130 and 60? 30 What is the highest common factor of 120 and 888? 24 What is the greatest common divisor of 96 and 720? 48 Calculate the highest common divisor of 2209 and 141. 47 Calculate the highest common factor of 3103 and 107. 107 What is the highest common factor of 76 and 2812? 76 What is the greatest common factor of 345 and 118335? 345 Calculate the highest common divisor of 20 and 4960. 20 Calculate the greatest common factor of 44 and 116. 4 Calculate the greatest common factor of 4 and 588. 4 Calculate the greatest common factor of 6 and 14124. 6 Calculate the greatest common divisor of 23 and 10488. 23 What is the greatest common divisor of 81 and 36? 9 Calculate the greatest common divisor of 145 and 2349. 29 Calculate the highest common factor of 2 and 208. 2 Calculate the greatest common divisor of 1866 and 12. 6 Calculate the greatest common divisor of 45 and 235. 5 Calculate the greatest common factor of 21 and 4627. 7 Calculate the highest common factor of 1265 and 6831. 253 What is the highest common divisor of 122 and 2? 2 Calculate the greatest common factor of 416 and 169. 13 Calculate the highest common divisor of 31954 and 26. 26 What is the greatest common divisor of 1790 and 10? 10 Calculate the greatest common divisor of 23985 and 41. 41 What is the highest common divisor of 1378 and 208? 26 Calculate the highest common factor of 20 and 428. 4 Calculate the highest common divisor of 8 and 307. 1 What is the highest common factor of 468 and 3198? 78 Calculate the greatest common divisor of 27 and 4239. 27 Calculate the highest common divisor of 16 and 1192. 8 What is the highest common factor of 6 and 654? 6 What is the highest common factor of 225 and 480? 15 What is the highest common divisor of 2624 and 738? 82 Calculate the greatest common divisor of 10 and 320. 10 What is the highest common divisor of 162 and 198? 18 Calculate the highest common factor of 8 and 664. 8 Calculate the greatest common factor of 1875 and 5. 5 What is the highest common factor of 840 and 66? 6 Calculate the highest common factor of 14 and 21. 7 Calculate the greatest common divisor of 922 and 4. 2 What is the greatest common divisor of 220 and 110? 110 What is the highest common factor of 159 and 106? 53 What is the greatest common divisor of 1 and 3612? 1 What is the highest common divisor of 180 and 135? 45 What is the highest common divisor of 14715 and 270? 135 Calculate the highest common divisor of 635 and 390. 5 What is the highest common factor of 14 and 126? 14 Calculate the highest common divisor of 3996 and 555. 111 What is the greatest common factor of 21 and 2667? 21 What is the highest common factor of 125 and 150? 25 What is the greatest common divisor of 266 and 475? 19 What is the greatest common divisor of 135 and 6? 3 What is the highest common divisor of 55 and 66? 11 Calculate the greatest common factor of 19 and 304. 19 What is the highest common factor of 384 and 30? 6 Calculate the highest common factor of 551 and 19. 19 What is the highest common divisor of 143 and 1639? 11 Calculate the highest common factor of 391 and 46. 23 What is the highest common factor of 9400 and 40? 40 Calculate the greatest common factor of 510 and 17. 17 What is the highest common factor of 1143 and 27? 9 What is the greatest common divisor of 111 and 39? 3 What is the highest common divisor of 4369 and 459? 17 Calculate the greatest common divisor of 504 and 28. 28 Calculate the highest common divisor of 5015 and 170. 85 Calculate the highest common divisor of 90 and 6030. 90 What is the greatest common divisor of 874 and 76? 38 Calculate the greatest common factor of 1296 and 66. 6 What is the greatest common divisor of 374 and 33? 11 Calculate the highest common factor of 297 and 473. 11 Calculate the greatest common factor of 846 and 36. 18 Calculate the greatest common divisor of 1173 and 357. 51 Calculate the highest common divisor of 8 and 248. 8 Calculate the greatest common divisor of 858 and 598. 26 What is the highest common factor of 12 and 332? 4 Calculate the highest common factor of 2 and 178. 2 Calculate the highest common divisor of 1131 and 39. 39 What is the greatest common divisor of 4693 and 195? 13 Calculate the greatest common divisor of 2338 and 14. 14 What is the greatest common factor of 4471 and 1315? 263 Calculate the highest common divisor of 8 and 8. 8 What is the highest common factor of 1248 and 39? 39 Calculate the greatest common divisor of 585 and 405. 45 What is
{ "pile_set_name": "DM Mathematics" }
c**4 + 0*c - c**j + 0. Factor w(g). -2*g*(g - 1) Let y(s) be the third derivative of s**7/315 - s**5/90 - 3*s**2. Let y(d) = 0. Calculate d. -1, 0, 1 Let p(f) = -f**3 - f**2 + f + 1. Let a(h) = -8*h**3 - 20*h**2 - 16*h - 4. Let n(g) = a(g) - 4*p(g). Factor n(t). -4*(t + 1)**2*(t + 2) Let l(i) = -3*i**2 - 47*i + 333. Let q(g) = -4*g**2 - 46*g + 332. Let p(a) = -6*l(a) + 5*q(a). What is z in p(z) = 0? 13 Let c(n) be the first derivative of 8/3*n + 2/3*n**2 - 2/9*n**3 + 2 - 1/12*n**4. Suppose c(q) = 0. Calculate q. -2, 2 Let l be (4/3)/((-98)/(-21)). Factor -l*o - 4/7 + 2/7*o**2. 2*(o - 2)*(o + 1)/7 Find q such that -2*q**4 + 44*q**2 - 2*q**5 + 17*q**3 - 50*q**2 - 7*q**3 = 0. -3, 0, 1 Factor 1/6*g**2 + 1/6 + 1/3*g. (g + 1)**2/6 Let x be 21699/(-351) + (-2)/(-13). Let i = x - -63. Determine w, given that 2/3*w + 0 - i*w**2 + 2/3*w**3 = 0. 0, 1 Let m(w) be the second derivative of -w**6/50 + 3*w**5/100 + w**4/10 - w. Solve m(l) = 0. -1, 0, 2 Let h = -1310 - -1310. Suppose 2/3*k**2 + h + 0*k - 2/3*k**3 = 0. Calculate k. 0, 1 Let g(v) be the third derivative of v**5/120 + v**4/24 + v**2. Factor g(l). l*(l + 2)/2 Let l(s) = s**2 - 8*s - 4. Let x be l(9). Factor 2*u - 2*u**2 - 15*u**3 - 9*u**4 + 4*u**2 + u - x*u**2. -3*u*(u + 1)**2*(3*u - 1) Factor 24/5*t - 16/5 - 12/5*t**2 + 2/5*t**3. 2*(t - 2)**3/5 Let r be 8/12*4 - 2/(-6). Let g(y) be the third derivative of 0*y**3 - r*y**2 + 1/80*y**5 - 1/280*y**7 + 0 - 1/32*y**4 + 0*y + 1/160*y**6. Factor g(n). -3*n*(n - 1)**2*(n + 1)/4 Let r = 23/12 + -7/12. Let -2/3 + 11/3*u**2 + r*u**3 + 5/3*u = 0. Calculate u. -2, -1, 1/4 Let d(x) be the first derivative of -x**8/840 - x**7/84 - x**6/20 - 7*x**5/60 - x**4/6 + 4*x**3/3 - 4. Let b(n) be the third derivative of d(n). Factor b(z). -2*(z + 1)**3*(z + 2) Let g = 41/68 + -6/17. Factor 0 + g*q**2 + 1/2*q. q*(q + 2)/4 Suppose 27/4*b + 81/4*b**2 + 81/4*b**3 + 3/4 = 0. Calculate b. -1/3 Suppose -18 = 16*a - 50. Factor 0 - p**a - 1/2*p - 1/2*p**3. -p*(p + 1)**2/2 Let p be -1*1 - (-10 + 2). Let q**5 - p*q**3 - 2*q**4 - q**5 + 2*q**2 + 5*q**3 + 2*q**5 = 0. Calculate q. -1, 0, 1 Let t be (-876)/(-2520) - (-1)/(-3). Let h(a) be the third derivative of -1/84*a**4 - t*a**5 + 0 + 0*a + 0*a**3 - a**2. Suppose h(p) = 0. What is p? -1/3, 0 Let v(a) be the first derivative of -1/8*a**4 + 1 - a - 1/12*a**3 - 1/60*a**6 - 3/40*a**5 + 0*a**2. Let i(o) be the first derivative of v(o). Factor i(t). -t*(t + 1)**3/2 Suppose 2*t - 5 - 91 = 0. Let k = -16 + 27. Factor -k - t*j - 12*j - 21*j - 27*j**2 - 3*j**3 - 70. -3*(j + 3)**3 Let 0*z + 0 - 1/3*z**2 + 1/3*z**3 = 0. What is z? 0, 1 Suppose 0 = -a + 2*a. Factor 2/9*m - 2/9*m**2 + a. -2*m*(m - 1)/9 Let l = -68 - -123. Let n be l/70 - 6/21. Determine d so that -1/2*d**3 + 1/2 - n*d**2 + 1/2*d = 0. -1, 1 Let y(s) be the first derivative of s**6/10 + 9*s**5/20 - 2*s**3 + 7*s - 1. Let k(a) be the first derivative of y(a). Factor k(d). 3*d*(d - 1)*(d + 2)**2 Let k(r) be the first derivative of -r**3/12 + r**2 - 4*r - 7. Solve k(j) = 0. 4 Suppose -11 = -4*h + 5. Let w = -29/5 + 121/20. Factor -d**h + w*d**5 + 0 - d**2 + 3/2*d**3 + 1/4*d. d*(d - 1)**4/4 Suppose 0 = 3*y + 5*p - 1, y - 4*p - 2 = 2*y. Suppose -5*d = 2*n, -y*n = -2*d + 2*n + 24. Factor 2 + 10*o**3 - 8*o**4 - d - 2*o**2. -2*o**2*(o - 1)*(4*o - 1) Let f = -7249/5 - -1928559/1330. Let a = 7/38 + f. Factor -3/7*o**2 + a - 3/7*o**3 + 3/7*o. -3*(o - 1)*(o + 1)**2/7 Let z(b) = -b**3 - 2*b**2 + 3*b + 1. Let i be z(-3). Let a be i/(-2) + (-5)/(-2). Factor c + c + c**a - 3*c. c*(c - 1) Let t = 15 - 13. Factor -o**2 + 0*o**2 - 5*o**2 + 8*o - 6*o**t + 4*o**3. 4*o*(o - 2)*(o - 1) Suppose 64 = 3*b + 64. Factor -4/11*p**3 + b*p + 2/11*p**2 + 0 + 2/11*p**4. 2*p**2*(p - 1)**2/11 Let l(w) be the third derivative of -w**6/8 - w**5/12 + 5*w**4/2 + 10*w**3/3 + 33*w**2 - 2*w. Factor l(a). -5*(a - 2)*(a + 2)*(3*a + 1) Let d(t) be the second derivative of 2*t**7/21 - 2*t**6/5 + 3*t**5/5 - t**4/3 + 7*t. Factor d(p). 4*p**2*(p - 1)**3 Let b = 11 - 7. Suppose -b*f = 5*z - 2, -4 = 2*f - 0*f. Factor -1/4*i + i**z + 0. i*(4*i - 1)/4 Let z(q) be the first derivative of q**7/525 + q**6/75 + q**5/25 + q**4/15 + q**3/15 - q**2/2 + 3. Let b(i) be the second derivative of z(i). Factor b(f). 2*(f + 1)**4/5 Let d(f) be the third derivative of -2*f**7/735 + f**6/140 - f**4/84 + 24*f**2. Factor d(t). -2*t*(t - 1)**2*(2*t + 1)/7 Suppose 3*y + 2*d - 13 = 0, 0*y + 4*d = -4*y + 12. Let h(s) = -s + 7. Let w be h(y). Determine b, given that w*b + 2/7 - 2/7*b**2 = 0. -1, 1 Let z(i) be the second derivative of -i**7/210 - i**6/75 + i**5/25 + i**4/30 - i**3/10 - i - 3. Determine r, given that z(r) = 0. -3, -1, 0, 1 Factor 2*f**2 + 2*f + 14 + 15 - 29. 2*f*(f + 1) Suppose 2*v - 6*v + 12 = 0. Let a(c) = 6*c**4 + 4*c**3 - 2*c**2 - 3*c. Let g(y) = -y. Let k = -4 + 3. Let x(n) = k*a(n) + v*g(n). Find f such that x(f) = 0. -1, 0, 1/3 Let q(t) = 128*t**2 + 200*t + 80. Let b(m) = -895*m**2 - 1400*m - 560. Let p(j) = 3*b(j) + 20*q(j). Factor p(w). -5*(5*w + 4)**2 Let q(l) be the first derivative of 0*l**2 + 3 - 1/8*l**4 + 0*l - 1/6*l**3 + 1/2*l**5 - 1/4*l**6. Factor q(n). -n**2*(n - 1)**2*(3*n + 1)/2 Let l(n) be the first derivative of n**6/33 - 9*n**4/11 + 81*n**2/11 + 37. Solve l(f) = 0. -3, 0, 3 Let f(c) be the first derivative of -c**7/420 - c**6/240 + c**5/40 + 5*c**4/48 + c**3/6 + 4*c**2 - 7. Let t(h) be the second derivative of f(h). Factor t(w). -(w - 2)*(w + 1)**3/2 Let 18/7*o**3 + 0 + 8/7*o**4 + 2/7*o + 12/7*o**2 = 0. What is o? -1, -1/4, 0 Let o = 1 + 1. Suppose x - 2 = o. Suppose -6 + 4 + c - c**2 + x = 0. Calculate c. -1, 2 Let n(h) be the second derivative of -h**7/315 + h**6/180 + h**5/90 - h**4/36 - h**2 + 3*h. Let a(x) be the first derivative of n(x). Factor a(g). -2*g*(g - 1)**2*(g + 1)/3 Factor -2 + 1 + c**3 + 2 - c - c**2. (c - 1)**2*(c + 1) Let w be (-4)/(-3)*(8 - (-135)/(-18)). Factor 0 + 2/3*f**4 + 4/3*f - w*f**2 - 4/3*f**3. 2*f*(f - 2)*(f - 1)*(f + 1)/3 Factor 2 + 3*r**2 - 6 + 5*r**2 - 4*r**4. -4*(r - 1)**2*(r + 1)**2 Let w(o) = o**2 - 3*o + 3. Let u be w(2). Let d be 0 - ((-10)/8 + u). Suppose -1/4 - d*t**4 - 3/2*t**2 - t**3 - t = 0. Calculate t. -1 Let t(h) = h + 1. Let l(o) = o**2 - 6*o - 6. Suppose -2*f - 3*m = 15, 5*f - m + 18 = -11. Let n(d) = f*t(d) - l(d). Factor n(r). -r**2 Let b be (-148)/(-36) + -7 + 3. Let f(y) be the third derivative of 0*y + 0 + 1/90*y**5 + b*y**3 + y**2 - 1/18*y**4. Factor f(q). 2*(q - 1)**2/3 Let v(k) = 3*k - 11. Let o be v(5). Suppose y - 4*c = 4, 1 = -5*c - o. Let 2/3*d + 1/3*d**2 + y = 0. What is d? -2, 0 Let p be ((-32)/(-24))/((-22)/(-3)). Determine k so that -8/11*k + 12/11*k**2 + 2/11*k**4 + p - 8/11*k**3 = 0. 1 Let m(k) be the third derivative of -k**9/70560 + k**8/35280 + k**7/17640 + k**5/30 - 3*k**2. Let z(w) be the third derivative of m(w). Let z(n) = 0. What is n? -1/3, 0, 1 Suppose a + k + 1 = -0*a, -5*a - 4*k = 2. Find m, given that -1/3*m**a - 1/3 + 2/3*m = 0. 1 Determine d, given that -245*d**2 + d**4 + 233*d**2 - 44*d**3 - 4*d**4 - 4*d**4 = 0. -6, -2/7, 0 Let s(p) be the third derivative of 0 + 0*p + 5/168*p**8 - 1/15*p**7 - 5*p**2 + 7/30*p**5 + 0*p**3 - 1/6*p**4 - 1/20*p**6. What is l in s(l) = 0? -1, 0, 2/5, 1 Suppose 18*k + 192 = 66*k. Factor 0*z**3 + 0 - 6/7*z**2 + 2/7*z**k - 4/7*z. 2*z*(z - 2)*(z + 1)**2/7 Let c(g) be the third derivative of 0*g**4 + 0*g + 0 + 1/20*g**5 - 2*g**3 - 9*g**2. What is u in c(u) = 0? -2, 2 Let u(w) = -2*w**2 + 3. Let f be 10/(-65) + (-24)/13. Let s = -5 - f. Let q(d) = -3*d**2 + 4. Let h(b) = s*q(b) + 4*u(b). Factor h(g). g**2 Let y(u) be the third derivative of -u**8/1008 + u**7/90 - u**6/72 - 7*u**5/180 + u**4/12 + 19*u**2. What is j in y(j) = 0? -1, 0, 1, 6 Suppose 0 = -5*q + z + 50, 4*q - 4*z - 14 = 26. Let h = 11 - q. Determine r so that 5/2*r - h + 7/2*r**2 = 0. -1, 2/7 Suppose -4*t = -10 - 10. Suppose t*x - 6*x = 0. Factor -a**2 + 2*a**3 + x*a**3 - a**3. a**2*(a - 1) Let w(o) = -o**3 + 4*o**2 + 13*o - 3. Let d be w(6). Let -4/7*y**2 - 2/7*y**d + 0 - 2/7*y = 0. What is y? -1, 0 Suppose 75 - 139 = -32*x. Suppose 8/3*r - 8/3*r**2 - 14/3*r**3 + 8/3*r**4 + 0 + x*r**5 = 0. Calculate r. -2, -1, 0, 2/3, 1 Let w(b) = -3*b. Let m be w(-1). Suppose 3*a**2 + a**3 + 4*a**2 - m*a**2 + a - 6*a**2 = 0. What is a? 0, 1 Factor 0*a**2 - 21*a**3 +
{ "pile_set_name": "DM Mathematics" }
t common multiple of 9408 and 2688? 18816 What is the least common multiple of 70 and 250? 1750 Calculate the lowest common multiple of 672 and 160. 3360 Find the common denominator of 31/244 and -73/18. 2196 What is the common denominator of -22/3 and -25/837? 837 Calculate the smallest common multiple of 128 and 16. 128 What is the common denominator of -77/8 and 11/40? 40 What is the lowest common multiple of 106 and 6? 318 Calculate the lowest common multiple of 104 and 6. 312 What is the common denominator of -11/16 and -83/16? 16 Calculate the common denominator of -103/174 and 83/116. 348 Calculate the smallest common multiple of 4 and 4. 4 Calculate the least common multiple of 71 and 186. 13206 What is the common denominator of 7/10298 and 13/152? 41192 Calculate the least common multiple of 3 and 15. 15 Calculate the least common multiple of 2394 and 912. 19152 Find the common denominator of 127/12 and 6/2455. 29460 Find the common denominator of 43/888 and 37/16. 1776 What is the least common multiple of 24 and 8553? 68424 Calculate the lowest common multiple of 6006 and 1386. 18018 What is the lowest common multiple of 795 and 135? 7155 Calculate the lowest common multiple of 2 and 379. 758 Calculate the smallest common multiple of 9 and 12. 36 What is the smallest common multiple of 1620 and 16? 6480 What is the smallest common multiple of 25 and 55? 275 Find the common denominator of 11/2754 and -55/18. 2754 Find the common denominator of 61/60 and -89/540. 540 Calculate the smallest common multiple of 32 and 260. 2080 What is the common denominator of 31/40 and 9/80? 80 Calculate the least common multiple of 1228 and 2. 1228 Calculate the lowest common multiple of 5408 and 8. 5408 What is the smallest common multiple of 10 and 54? 270 What is the least common multiple of 4950 and 1200? 39600 Calculate the smallest common multiple of 136 and 6086. 24344 Calculate the least common multiple of 25 and 10. 50 Calculate the lowest common multiple of 500 and 200. 1000 What is the least common multiple of 252 and 70? 1260 Calculate the smallest common multiple of 8096 and 704. 16192 Calculate the common denominator of 37/180 and 151/720. 720 Calculate the lowest common multiple of 15 and 369. 1845 Find the common denominator of 85/522 and -43/126. 3654 Calculate the lowest common multiple of 3 and 27. 27 Calculate the common denominator of 49/144 and 17/1936. 17424 What is the common denominator of 35/162 and -61/378? 1134 Find the common denominator of -11/96 and -61/64. 192 What is the common denominator of -95/596 and 71/8? 1192 Calculate the common denominator of 121/350 and -81/178. 31150 Find the common denominator of 68/33 and 121/906. 9966 What is the lowest common multiple of 7280 and 168? 21840 Calculate the common denominator of 143/18 and -89/22. 198 Calculate the smallest common multiple of 18 and 159. 954 Find the common denominator of -23/4 and 59/4472. 4472 What is the common denominator of 1/7 and -65/8? 56 Find the common denominator of 37/96 and 75/4. 96 What is the common denominator of 81/40 and 41/744? 3720 Calculate the least common multiple of 74 and 333. 666 Calculate the smallest common multiple of 10 and 1355. 2710 What is the common denominator of 47/16 and -9/4? 16 Calculate the least common multiple of 2562 and 6. 2562 What is the lowest common multiple of 318 and 477? 954 Calculate the smallest common multiple of 546 and 858. 6006 Calculate the lowest common multiple of 87 and 75. 2175 What is the least common multiple of 2576 and 2576? 2576 Calculate the least common multiple of 144 and 24. 144 What is the common denominator of -109/40 and -59/60? 120 Calculate the lowest common multiple of 9 and 6. 18 Find the common denominator of 19/8 and 49/170. 680 Find the common denominator of -15/28 and -41/7. 28 What is the common denominator of 11/1900 and -35/228? 5700 What is the smallest common multiple of 4 and 7? 28 Calculate the common denominator of -31/90 and 1/780. 2340 Calculate the common denominator of -77/78 and -181/60. 780 Find the common denominator of 103/6 and -101/6536. 19608 What is the common denominator of 31/126 and -80/147? 882 What is the least common multiple of 338 and 12? 2028 What is the common denominator of -71/1310 and -5/131? 1310 Calculate the lowest common multiple of 56 and 63. 504 Calculate the common denominator of 16/21 and -5/4. 84 Calculate the common denominator of -97/4 and -99/10. 20 Calculate the smallest common multiple of 114 and 30. 570 Calculate the common denominator of -65/306 and 143/918. 918 What is the common denominator of 48/443 and 6/5? 2215 Calculate the smallest common multiple of 52 and 2912. 2912 Calculate the lowest common multiple of 7 and 18245. 127715 What is the lowest common multiple of 38 and 98? 1862 Calculate the least common multiple of 350 and 455. 4550 Calculate the lowest common multiple of 454 and 20. 4540 What is the least common multiple of 64 and 1888? 3776 Find the common denominator of -73/16 and -149/96. 96 Calculate the common denominator of -2/21 and 73/35. 105 Find the common denominator of 149/6 and -26/9. 18 What is the common denominator of 115/78 and -49/8? 312 What is the lowest common multiple of 1078 and 462? 3234 Find the common denominator of -37/35 and -15/77. 385 Calculate the smallest common multiple of 2 and 158. 158 What is the common denominator of -121/140 and 1/7? 140 What is the common denominator of -16/55 and -57/700? 7700 Calculate the smallest common multiple of 56 and 60. 840 Calculate the smallest common multiple of 91 and 4. 364 Calculate the common denominator of 101/770 and 41/1694. 8470 What is the common denominator of 85/1664 and -59/260? 8320 Calculate the lowest common multiple of 5 and 2220. 2220 Calculate the lowest common multiple of 136 and 88. 1496 What is the least common multiple of 360 and 156? 4680 Calculate the common denominator of 87/1822 and -31/11. 20042 Calculate the lowest common multiple of 14 and 168. 168 What is the common denominator of -13/682 and 101/44? 1364 Calculate the common denominator of -73/315 and -76/225. 1575 What is the common denominator of -29/196 and 131/24? 1176 Calculate the least common multiple of 216 and 672. 6048 Calculate the common denominator of 1/1397 and 41/5. 6985 What is the least common multiple of 90 and 120? 360 What is the common denominator of 61/22 and 83/14? 154 Calculate the common denominator of -151/12 and 53/680. 2040 What is the common denominator of 43/378 and -13/1260? 3780 What is the least common multiple of 84 and 21? 84 Find the common denominator of 61/390 and -49/260. 780 What is the smallest common multiple of 14 and 320? 2240 Find the common denominator of -11/35 and 117/14. 70 Calculate the lowest common multiple of 60 and 130. 780 What is the common denominator of 32 and -17/15? 15 What is the least common multiple of 123 and 1599? 1599 What is the smallest common multiple of 396 and 66? 396 Calculate the lowest common multiple of 168 and 12. 168 Calculate the lowest common multiple of 4760 and 4760. 4760 What is the least common multiple of 336 and 252? 1008 Calculate the common denominator of -89/2196 and -101/1098. 2196 Find the common denominator of -101/254 and 69/32. 4064 What is the smallest common multiple of 60 and 980? 2940 Calculate the common denominator of 91/36 and 53/54. 108 What is the common denominator of 109/70 and 103/110? 770 Calculate the smallest common multiple of 1380 and 6. 1380 Find the common denominator of -19/3 and -50/543. 543 What is the smallest common multiple of 385 and 70? 770 Find the common denominator of -81/136 and 87/64. 1088 Calculate the smallest common multiple of 27 and 2088. 6264 What is the common denominator of 16/3 and 83/26? 78 Calculate the least common multiple of 1672 and 48. 10032 Calculate the least common multiple of 1806 and 3010. 9030 Find the common denominator of -37/10 and -17/23. 230 What is the smallest common multiple of 1548 and 66? 17028 Calculate the lowest common multiple of 56 and 945. 7560 What is the least common multiple of 14 and 70? 70 What is the common denominator of 44/27 and 29/726? 6534 Calculate the common denominator of -101/1370 and 61/1096
{ "pile_set_name": "DM Mathematics" }
- (-924)/(-484)). Sort -6, -1, -5, q. -6, -5, -1, q Let t be -12*1 + 26 + 23. Put t, 0.2, -7 in ascending order. -7, 0.2, t Suppose -w - 2*w - 3 = 0. Let z = -9967 - -9965. Sort z, w, 2. z, w, 2 Let l(f) = -f**3 + 2*f**2 - 2*f + 2. Let p be l(0). Suppose -5*o + 2*o + 17 = -4*z, -z = -3*o + 2. Put -17, o, p in descending order. p, o, -17 Let c = 4.2 - -0.8. Let y = -518 - -518.3. Sort y, -1/4, c, -0.5 in descending order. c, y, -1/4, -0.5 Let p be (-1 + -3)/(-52 + 50). Put 24, 1, p in increasing order. 1, p, 24 Let z(h) = -h**2 + 6*h + 5. Let k be z(5). Let d be (-3 - -17)*5/k. Suppose -2*i + 4 - d = -3*s, 5*s = 15. Put -1, i, 0 in decreasing order. i, 0, -1 Let d = -183 - -183.1. Put d, 2/5, -0.04, 3 in increasing order. -0.04, d, 2/5, 3 Let k = -70.0466 + 0.0466. Sort 1/6, 0.5, k in decreasing order. 0.5, 1/6, k Let a = -1757/5 - -351. Let c(w) be the third derivative of w**6/120 + w**5/60 - w**4/24 - w**3/2 - w**2. Let y be c(0). Put y, 3, a in increasing order. y, a, 3 Let t = 2171 - 2165. Let x be -2 - -3*(-4)/6. Sort t, x, 5, -2. x, -2, 5, t Let p(l) = l**2 + 30*l + 120. Let n be p(-5). Let q(d) = d**3 + 8*d**2 - 11*d - 12. Let j be q(-9). Let s = j - 4. Sort s, 3, n in descending order. 3, s, n Suppose 0*o - 18 = -3*o. Let g = o - 9. Suppose 4*d = 4*v + 16, -v - 5*d = 3*v - 2. Sort 2, g, v in descending order. 2, v, g Let a(y) = -y**3 + 7*y**2 - 15*y + 11. Let p be a(4). Put p, -2, -3, 0 in ascending order. -3, -2, p, 0 Let x = -8/25 - -22/225. Put -1/6, 1/9, x, 0.09 in decreasing order. 1/9, 0.09, -1/6, x Let h = -2 + 4. Let o = 77.8 + -78. Let z = 14.4 - 14. Sort h, o, z in decreasing order. h, z, o Let v(i) = i**3 + 3*i**2 - 4*i + 1. Let q be v(-3). Let m be ((-1)/(-4))/(24/384). Put m, 5, q in decreasing order. q, 5, m Let j = 3/20 - 73/20. Let w = 41/10 + j. Put -3, 2, w in decreasing order. 2, w, -3 Let c = 369/5 + -74. Let m = -9371/19 - -493. Let f = 37/95 - m. Sort 6, c, f in descending order. 6, f, c Suppose 0*o - o = 1. Let g be -2 - (0 + 1 + o). Sort g, 7, 0 in decreasing order. 7, 0, g Suppose -4*q + 3 = -5*q, 3*q = -5*k - 9. Sort 2, 1, -5, k in increasing order. -5, k, 1, 2 Let a be ((-11)/429)/((20/5)/24). Let m = -6.02 - -6. Sort -4, a, m, -0.5 in increasing order. -4, -0.5, a, m Let m = 12.62 - -0.38. Let s = 18 - m. Put -5, -4, s in descending order. s, -4, -5 Let z = -304 + 303.6. Sort 2/7, -1/3, z, -4 in decreasing order. 2/7, -1/3, z, -4 Let m = 5 + -4. Let x = 1 - 1. Put x, 5, m in ascending order. x, m, 5 Let p(f) = -f**2 - 2*f + 3. Let v be p(2). Suppose 4*i - 7 = 11*i. Sort v, 5, i. v, i, 5 Let x = 4.1 + 3.9. Let b = -26 - x. Sort b, -0.2, -4 in decreasing order. -0.2, -4, b Let u(s) = s**3 - 25*s**2 - 26*s + 4. Let n be u(26). Let h be 10/n*(23 + -19). Sort 5, h, 2 in descending order. h, 5, 2 Let o(r) = -2*r**3 + 11*r**2 - 9*r - 8. Let q be o(4). Let k = 11 - 6. Suppose g + 3*v + 1 = 2*v, q*g + k*v = -4. Put 2, g, -5 in increasing order. -5, g, 2 Suppose 2*r - l = 3*l, 4*r = -4*l. Let o be (-8)/12 - (-1)/(-3). Let b be o*4/((-1)/1). Put r, b, 7 in ascending order. r, b, 7 Let c = 0.362 - 0.662. Put -151, -0.1, -3, c in increasing order. -151, -3, c, -0.1 Suppose 15 - 31 = -8*t. Put 1, -9, t in increasing order. -9, 1, t Let s = -35/12 + 571/204. Put s, 1, 1/7 in ascending order. s, 1/7, 1 Let h(x) = -x**3 + 4*x**2 + 3*x + 6. Let s be h(5). Suppose w = 3*j + 6, -26*w + 29*w - 6 = 5*j. Put 1, s, -9, w in decreasing order. 1, w, s, -9 Suppose -96 = -9*b + 39. Sort b, -5, -3 in increasing order. -5, -3, b Let y(x) = -2*x**3 - x**2 + 1. Let w be y(-1). Let c be 5/(-2 - -5 - 4). Sort 3, w, -3, c in decreasing order. 3, w, -3, c Suppose 28 = -5*v - 12. Let q be 1/(((-14)/(-6))/((-28)/(-12))). Sort 2, 3, v, q in increasing order. v, q, 2, 3 Let y = -1162.1 - -1162. Sort y, 34, 0.5, -1/5 in decreasing order. 34, 0.5, y, -1/5 Let x(v) = 20 + 4*v - 8*v - v**2 - 11*v. Let p be x(-16). Suppose 5*q = 3*s - s - 1, 5 = 3*s - 4*q. Sort -3, p, s in decreasing order. p, s, -3 Suppose 12*n - 83 = 1. Put n, -0.2, 0.3 in decreasing order. n, 0.3, -0.2 Let r(w) = -w**2 - 9*w + 5. Let k be r(-9). Suppose -k*c - 2*g = -27, -2*g + g - 9 = -2*c. Suppose 2*j - 8 = -0*j. Sort j, c, -2 in decreasing order. c, j, -2 Let n = 135.012 + -0.012. Put 1, -0.3, n in increasing order. -0.3, 1, n Let u = -3 + 3. Let m(j) = -3*j**3 - 77*j**2 + 27*j + 31. Let x be m(-26). Sort u, x, 2 in decreasing order. x, 2, u Suppose 4 = -2*k - 4. Suppose 5*v - 13 = -j - 5, -4*j - 5*v = 13. Let q = j - k. Put -2, 5, q in descending order. 5, -2, q Let z = 9 + -7. Suppose -6 = -z*u - 2. Let l be u/(-3)*9/(-2). Put -1, l, -3 in descending order. l, -1, -3 Suppose 15 - 3 = -2*y + 4*f, -2*y + 3*f = 10. Let z(p) = -1. Let j(n) = -n + 1. Let v(m) = j(m) - z(m). Let c be v(2). Sort y, 8, c in decreasing order. 8, c, y Let u(l) = -l**3 + 17*l**2 - 32*l + 29. Let j be u(15). Sort -13, -10, j in increasing order. -13, -10, j Suppose -3*t - 2*y + 21 = 0, t - 2*y + 0 = 7. Sort t, 5, 0 in descending order. t, 5, 0 Let y = -25/2 - -12. Sort -0.09, 7, y. y, -0.09, 7 Let k be -1 + (-6)/3 - -2. Let u(b) = -17*b**2 - b. Let w be u(k). Let l = 21 + w. Put l, 4, -2 in ascending order. -2, 4, l Let q be (-14)/(-4)*324/(-378). Sort -5, q, -14. -14, -5, q Suppose 4*i - 46 - 94 = 0. Sort 3, -3, i in descending order. i, 3, -3 Let g = 5.3 - 5. Let z = g + 0.2. Suppose -3*d + c = 11, 23*d = 18*d - 5*c + 15. Put d, -3, z in descending order. z, d, -3 Let r = 12.84 + 0.16. Let n = r - 13.2. Let z = 0 + n. Put z, 3, 0.2 in decreasing order. 3, 0.2, z Let i = 0.304 - 2.214. Let m = -19.91 - -20. Let u = i - m. Put u, 5, -0.2 in descending order. 5, -0.2, u Let g = 2.201 + 0.799. Sort 7/3, -4, g. -4, 7/3, g Let n(u) = -2*u - 20. Let p be (-6 - -2) + 2 - 9. Let y be n(p). Sort -0.5, y, -2/9 in decreasing order. y, -2/9, -0.5 Let g = -43.028 - -43. Let m = g - 0.972. Let d be 6/(-33) - (-48)/506. Sort 1, d, m in descending order. 1, d, m Let t(k) = -k**2 - 5*k + 12. Let a be t(-7). Let w be ((-3)/10)/((-3)/2 - a). Let q = -0.1 - -0.1. Sort w, 3, q in descending order. 3, q, w Let h = -236.213 + 236. Let v = h + -0.087. Sort -3, v, -0.05, -0.1 in decreasing order. -0.05, -0.1, v, -3 Suppose 62*v + 510 = 77*v. Put -3, v, -1, 0 in descending order. v, 0, -1, -3 Let n(h) = h**2 - 6*h. Let c be n(6). Suppose k - 2 = -c*k. Let j = -6.8 + 7. Sort k, j, -4/3 in decreasing order. k, j, -4/3 Suppose 4*t - w + 12 = -3*w, 2*t - 3*w + 6 = 0. Let r be 0 + t/3 + 3. Sort r, -5, -2 in descending order. r, -2, -5 Let i = -121 + 120.6. Put i, -2/3, -1, -3 in descending order. i, -2/3, -1, -3 Suppose -4*v + 89 + 79 = 0. Let h = v + -464/11. Let m be (-11 - -12)*(60/55)/3. Sort h, m, 0.2 in increasing order. h, 0.2, m Suppose 2*x = -6*x + 5*x. Suppose 2*o = -x - 18. Put o, -1, 0 in decreasing order. 0, -1, o Let k be (2/24)/(28/6 - 5). Put 3/26, k, -1 in ascending order. -1, k, 3/26 Let j = -223 - -218. Sort j, -1, 5 in decreasing order. 5, -1, j Let q = -17/2 + 9. Let f be (-1 - -2) + 826/55. Let r = f - 81/5. Sort -0.2, r, q in descending order. q, r, -0.2 Suppose 4*p = -j + 19 + 4, 4*j + 8 = 4*p. Sort -4, 2, p, 4 in increasing order. -4, 2, 4, p Let d = -470 - -419. Sort d, 4/7, 0.3 in increasing order. d, 0.3, 4/7 Let h = -8.2 + 4.1. Let u = h - -4.6. Sort -2/5, u, 0.06. -2/5, 0.06, u Let m = 2471 + -2471. Suppose 3*b - 2 = -5*z + 6, -3*b = -5*z + 32. Put z, 2, m in increasing order. m, 2, z Suppose 167*q - 2 = 166*q. Put 5, q, -3, 0 in ascending order. -3, 0, q, 5 Suppose 2*w - 20 = -2*o, -4*o + 5 = -4*w + w. Let z be 1*(-3 - (7 + -3)). Put -1, o, z in ascending order. z, -1, o Let c = -697 + 692. Suppose 14 = 5*g - 1. Sort c, g, 2 in descending order. g, 2, c Suppose 5*g - 5 = 2*o + 7, 2*o = -g + 12. Let i be 2/8 + 11/4. Let x be -1*(-1 + 9 - (-3 + 6)). Sort g, i, x. x, i, g Suppose 0 = 4*p - 2*p. Let o = 442 + -447. Sort o, -2, p in ascending order. o, -2, p Let j = -0.0391 + 8.1791. Let u = j - 0.14. Let g = 7 - u. Sort -0.5, g, 0.1 in decreasing order. 0.1, -0.5, g Let j(s) = -s**3 + 5*s**2 - 2*s - 13. Let x be j(4). Sort x, -1/4, -2, -1. x, -2, -1, -1/4 Let u = -323 - -325. Suppose -2*i + 0 - 2 = 0. Sort u, i, -3 in increasing order. -3, i, u Let j = -226 + 221. Suppose i + 2*a = 0, 4*a = -0*a - 8. Supp
{ "pile_set_name": "DM Mathematics" }
) = -8*z**2 + 15*z + 8. Determine h(p) + 6*i(p). -2*p**2 + 3*p + 2 Let s(h) = -29*h**2 + 5. Let o(w) = -144*w**2 + 24. Let x(t) = -22*t - 328. Let k be x(-16). Determine k*s(f) - 5*o(f). 24*f**2 Let p(x) = x**2 - 9*x - 1. Let t(j) = j**2 - 11*j. What is -5*p(b) + 4*t(b)? -b**2 + b + 5 Let k be (-56)/588 + 2 + 4/42. Let u(b) = -14*b + 10. Let t(y) = -3*y + 2. What is k*u(g) - 11*t(g)? 5*g - 2 Let s(o) = -11*o - 7. Let w(q) = -5*q - 3. Let d = 38 + -38. Suppose -5*v + 38 = -a + 15, d = 4*a - v + 16. Determine a*s(l) + 7*w(l). -2*l Let y(x) = x**2 - x - 1. Let h(n) = -16*n**3 - 2*n**2 - 6*n + 2. Give 2*h(b) + 4*y(b). -32*b**3 - 16*b Let h be (35/25 - 1)*75/3. Let m(p) = -4*p + 0*p + h*p + 2 - 7*p. Let g(k) = 2 - 3 + 5*k - 4*k. Give -2*g(y) - m(y). -y Let d(i) = 4*i + 3. Let p(b) be the third derivative of b**5/60 - 7*b**4/24 - 5*b**3/6 + 224*b**2. Determine 7*d(n) + 4*p(n). 4*n**2 + 1 Let n(w) = -539*w**2 + 2. Let u(i) = -2699*i**2 + 11. Determine -11*n(z) + 2*u(z). 531*z**2 Let b(h) = -2*h**3 - 3*h**2 - 2*h - 18. Let m(r) = -2*r**3 - 2*r**2 - 2*r - 17. Calculate 2*b(t) - 3*m(t). 2*t**3 + 2*t + 15 Let n(y) = -133*y**3 - 9*y**2 + 8*y + 8. Let u(q) = 33*q**3 + 2*q**2 - 2*q - 2. Give -2*n(k) - 9*u(k). -31*k**3 + 2*k + 2 Let t(c) = -c**2 - 5*c - 7. Let z(j) = j**2 - j + 2. Calculate -t(p) + 4*z(p). 5*p**2 + p + 15 Let p(x) = -3*x**2 - 3*x + 3. Let b(o) = 4*o**2 + 5*o - 4. Let l(n) = 2*b(n) + 3*p(n). Let h(t) = -3*t**2 + 4*t + 5. Give -3*h(i) + 12*l(i). -3*i**2 - 3 Let t = 1902 - 1897. Let q(b) = 6*b + 21. Let l(w) = -4*w - 14. Determine t*q(i) + 7*l(i). 2*i + 7 Let d(v) = -7*v**2 + 7*v - 4. Let w(p) = p**2 - p + 1. Let h be 0 - (21/3 - 6). Calculate h*d(y) - 5*w(y). 2*y**2 - 2*y - 1 Let o(z) = 2*z - 45. Let w(r) = 3*r - 46. Determine 6*o(t) - 5*w(t). -3*t - 40 Let h(g) = -2*g + 8. Let f(x) = -1. Suppose 0 = 2*c + 3*y + 4, -c - y - 3 = -2. Calculate c*h(v) + 6*f(v). -2*v + 2 Let n(l) = l**2 - l + 3. Let q(m) = 5*m**2 + 78*m + 20. Calculate 6*n(w) - q(w). w**2 - 84*w - 2 Let x(g) = 5*g + 36. Let v(z) = 11*z + 73. Determine -6*v(c) + 13*x(c). -c + 30 Let q(x) = 3*x**3 + 5*x**2 + 9*x. Let g(r) = r**3 - r. Calculate 5*g(w) - q(w). 2*w**3 - 5*w**2 - 14*w Let m(q) = -13*q**2 + 5*q - 5. Let k(v) = -7*v**2 + 2*v - 2. Let z be (8 - 99/18)*8/(-10). Give z*m(f) + 5*k(f). -9*f**2 Let u(q) = 114*q**2 + 2*q - 1. Let h(c) = c**2. Determine 2*h(d) - u(d). -112*d**2 - 2*d + 1 Let c(h) = h + 2. Let u(j) = -2*j - 4. Give 14*c(k) + 6*u(k). 2*k + 4 Let j(z) = 159*z - 16. Let t(v) = -477*v + 45. Give -17*j(r) - 6*t(r). 159*r + 2 Let m(t) = -86*t - 7. Let b(j) = 87*j + 8. Calculate -5*b(p) - 6*m(p). 81*p + 2 Let d(h) = 12*h + 5. Let f(v) = -5*v - 2. Let c(a) = 2*d(a) + 5*f(a). Let k(l) = -3*l. Determine -2*c(x) + 2*k(x). -4*x Let b(n) = 22 - 79 + 31 + 25. Let s(z) = 5*z + 1. What is 3*b(x) + s(x)? 5*x - 2 Let u(r) = -7*r**2 - 4*r - 4. Let v(j) = 9*j**2 + 5*j + 5. Give 5*u(k) + 4*v(k). k**2 Let x(i) = -3*i**2 + 3*i - 9. Let g(b) = -2*b**3 - 10*b**2 - 3*b - 1. Let z be g(-4). Let f = z + 16. Let y(l) = -l**2 + l - 4. Calculate f*y(v) + 2*x(v). -v**2 + v + 2 Let u(n) = n - 5. Let x(t) = t - 130. Calculate 3*u(v) - x(v). 2*v + 115 Let a(d) = -8*d - 190. Let p(y) = 12*y + 291. Calculate 8*a(u) + 5*p(u). -4*u - 65 Suppose 1 + 8 = 3*z. Let g be (z/2)/(3/(-8)). Let m(p) = 4*p - 13. Let q(i) = 3*i - 7. Let k(u) = 3*m(u) - 5*q(u). Let a(x) = -12*x - 15. Give g*a(f) + 15*k(f). 3*f Let w(d) = 52*d - 5. Let u(q) = -55*q + 5. Determine 4*u(i) + 5*w(i). 40*i - 5 Let k(w) = 35*w - 121. Let a(i) = -12*i + 41. Give 17*a(o) + 6*k(o). 6*o - 29 Let c(q) = 48*q**2 - 16*q - 57. Let r(t) = 17*t**2 - 5*t - 19. Determine 6*c(m) - 17*r(m). -m**2 - 11*m - 19 Let a(q) = 3*q - 3. Let v(f) = 4*f - 12. Let w be v(4). Suppose -s = 3*s + w. Let z(g) = -3 + 0 + 2*g**2 + 4 - g - g**2. Determine s*a(l) - 3*z(l). -3*l**2 Let h(z) = 5*z**2 - 7*z - 33. Let y(w) = -7*w**2 + 8*w + 33. Give -6*h(m) - 5*y(m). 5*m**2 + 2*m + 33 Let y = 308 - 301. Let a(n) be the second derivative of 1/6*n**3 + 0 - y*n - 3/2*n**2. Let k(m) = -m + 4. What is 5*a(z) + 4*k(z)? z + 1 Let a(r) = r + 3 - 3 + 2. Let p(x) = -3406*x - 3416*x + 2 + 6823*x. Give 4*a(m) - 3*p(m). m + 2 Let f(t) = -35*t**3 + 9*t. Let c(p) = 34*p**3 - 8*p. Determine -5*c(y) - 4*f(y). -30*y**3 + 4*y Let y be 2*3 + 2/(-1). Let c(g) = 3*g - 1. Let f(s) = 2*s. Let b(j) = y*f(j) - 3*c(j). Let m(k) = -6*k + 16. Let d = -65 - -54. What is d*b(t) + 2*m(t)? -t - 1 Let h(u) = -4*u**3 - 4*u**2 - 3*u. Let v(a) = -a**3 - a**2 - a. What is -4*h(k) + 14*v(k)? 2*k**3 + 2*k**2 - 2*k Let u(o) = 347*o**3 + 4*o**2 - 4*o. Let k(g) = 346*g**3 + 3*g**2 - 3*g. Calculate -4*k(l) + 3*u(l). -343*l**3 Let u(d) = 4*d**3 + 10*d**2 + 6*d - 5. Let n be 8 - (-12)/10*55/(-33). Let o(g) = -3*g**3 - 9*g**2 - 5*g + 4. What is n*o(x) + 5*u(x)? 2*x**3 - 4*x**2 - 1 Let j(t) = 4*t**2 + t - 1. Let l(a) = 9*a**2 + 3*a - 1. Let w = -269 - -274. Give w*j(h) - 2*l(h). 2*h**2 - h - 3 Let t = -7 - -10. Suppose -s - 1 = -2. Suppose -t*j + 7 = s. Let r(u) = -u**2 + u + 1. Let y(x) = x**3 + 11*x**2 - 11*x - 11. What is j*y(w) + 22*r(w)? 2*w**3 Let l(v) = -974*v**3 - 14*v**2 + 14*v + 14. Let i(m) = -195*m**3 - 3*m**2 + 3*m + 3. Calculate 28*i(u) - 6*l(u). 384*u**3 Let q(f) = 1 - 5 + 2*f + 5*f - 2*f. Let s be 2/2 + -4 - 1. Let z(y) = -4*y + 3. Determine s*z(c) - 3*q(c). c Suppose 28*a - 29*a = -6. Let o(h) = 10*h**3 - 6*h + 6. Let v(s) = 21*s**3 - 13*s + 13. Give a*v(y) - 13*o(y). -4*y**3 Let j(w) be the first derivative of w**2 + 7*w - 3. Let z(r) = 5 - 3 - 3. Let p be (51/(-34))/(1/4). Determine p*z(q) - j(q). -2*q - 1 Let u(y) = 16*y**2 + 6*y - 132. Let w(r) = 5*r**2 + 2*r - 45. Calculate 2*u(c) - 7*w(c). -3*c**2 - 2*c + 51 Let p(a) = -4*a + 6. Let k = 11 - 8. Let z(u) = 13*u - 18. Let o(y) = k*z(y) + 8*p(y). Let i(x) = x - 1. Let g be 6/(-4 - -1) + 3. What is g*o(h) - 5*i(h)? 2*h - 1 Let f(d) = -4*d + 2. Let p(v) be the third derivative of 5*v**4/24 - v**3/6 + 55*v**2 + v. What is -3*f(a) - 2*p(a)? 2*a - 4 Let u(s) = 3*s - 2. Let w(x) be the second derivative of x**4/4 - 5*x**3/6 - 2*x**2 + 6*x. Let r(o) be the first derivative of w(o). Give -2*r(p) + 5*u(p). 3*p Let q(j) = -45 - 11*j + 126 - 45 - 41. Let u(m) = -5*m - 2. Calculate 2*q(n) - 5*u(n). 3*n Let p(o) = -407*o + 21. Let i(m) = -406*m + 17. Determine 5*i(f) - 4*p(f). -402*f + 1 Let d(h) = -4. Let m(b) = b + 6. Let f be (-48)/(-360) - 116/(-30). Let j(u) = u**2 + 2*u - 2. Let z be j(-4). Calculate f*m(c) + z*d(c). 4*c Let m(d) = 7*d. Let b(u) = -u - 1. Let o(x) = -24*x - 30. Let v(j) = 30*b(j) - o(j). Suppose -a + 6 = 3. Suppose 4*n - 27 = -a. Calculate n*v(z) + 5*m(z). -z Let b(l) = 85*l**2 + 6*l + 12. Let j(f) = 7821*f**2 + 553*f + 1106. Determine 553*b(u) - 6*j(u). 79*u**2 Let o(q) = 8*q - 5. Let h(f) be the third derivative of f**4/6 - f**3/3 - 64*f**2 + 1. Calculate 5*h(a) - 2*o(a). 4*a Suppose 23*f + 118 = -66. Let a(r) = 17*r**3 - 8*r**2 - 8*r + 5. Let b(j) = 9*j**3 - 3*j + 3 + 0*j + 2*j**3 - 2*j - 5*j**2. Give f*b(m) + 5*a(m). -3*m**3 + 1 Let y(d) = 4*d**2 + 5*d - 20. Let r(b) = 13*b**2 + 15*b - 59. What is -2*r(l) + 7*y(l)? 2*l**2 + 5*l - 22 Let h(o) = -15*o**2 + 16*o - 11. Let g(b) = 7*b**2 - 7*b + 5. Give 9*g(s) + 4*h(s). 3*s**2 + s + 1 Let j(b) = -14*b - 15. Let z(s) = -5*s - 5. Let p(h) = -6*j(h) + 17*z(h). Let w(y) = -2. Suppose 133*x - 121*x - 60 = 0. Calculate x*w(f) + 2*p(f). -2*f Let q(h) = -9*h + 6. Let y(i) = -i. Give q(x) - 2*y(x). -7*x + 6 Let a(l) = -9*l - 3. Let s(r) = -16*r - 26 + 19 + 43*r + 15. What is -8*a(c) - 3*s(c)? -9*c Let j(y) = -5*y - 2. Let z(h) = -6 - 5*h - 11 - 14 - 16 + 46. Determine -2*j(f) + 3*z(f). -5*f + 1 Let h(o) = 30*o - 2. Let q(u) = 2*u - 1. Give h(b) - 3*q(b). 24*b + 1 Let z(r) = -r**3 + 3*r**2 + 3*r + 1. Let n(g) = g**3 + 2*g**2 - 3*g - 3. Let t be n(-2). Let y(q) = q**t - 1 - 26*q - 28*q + 53*q. Calculate 3*y(s) + z(s). 2*s**3 + 3*s**2 - 2 Let y(u) = -4*u - 1. Let b(p) = p**3 + p**2 - 3*p + 1. Let v be b(-3). Let m(c) = -11*c - 2. Suppose -s = o - 7, 15*s - 1 = 20*s - 4*o. Give s*m(z) + v*y(z). -z + 2 Let s(f) = 6*f - 12. Let r(x) = 35*x - 4. Let d be r(4). Suppose 19*n = -22 + d. Let a(q) = -q + 2. What is n*s(i) + 34*a(i)? 2*i - 4 Let l(r) = 426*r + 1. Let x(w) = 639*w + 2. Calculate -7*l(n) + 5*x(n
{ "pile_set_name": "DM Mathematics" }
*d + 4040. Is a prime? False Let c = 3969 + 93790. Is c composite? True Let b(w) = w**2 - 3*w + 337. Let j be (-1)/3*(2 - 2). Is b(j) a composite number? False Suppose 0 = 3*y - 5*j + 6, 0 = -4*y + 18*j - 14*j. Let g(v) be the first derivative of 10*v**3 - 7*v**2/2 + 2*v - 2. Is g(y) a composite number? False Suppose 2*y - 109197 = -2*w + 1067501, -3*w - 4*y = -1765049. Is w prime? True Let l(k) = 628*k**2 + 5. Let x(b) be the first derivative of -209*b**3/3 - 2*b + 6. Let h(c) = -2*l(c) - 7*x(c). Is h(-3) a composite number? False Let p(s) = 12*s**3 + 77*s**2 - 60*s - 24. Is p(29) a prime number? False Let z(f) = 20 + 15 - 3993*f - 36. Let c be z(-1). Suppose 8*j - c = -0*j. Is j a prime number? True Let u(j) = 1370*j**2 + 91*j + 1. Is u(-3) composite? True Let a(x) = 26906*x + 901. Is a(23) a prime number? True Suppose -40*y + 5621710 = 1474070. Is y composite? True Let b(n) = -46*n - 259. Let c be b(-10). Suppose 4887 = 22*s + c. Is s prime? False Let g(x) = 42684*x**2 - 26*x + 151. Is g(6) composite? True Suppose -2*i + 4 = 18. Let k(l) = -3*l**3 - 3*l**2 - 7*l + 5. Let j be k(i). Let u = -437 + j. Is u a prime number? True Let l(n) be the third derivative of 101*n**7/2520 + n**5/40 + n**4/6 + 7*n**2. Let x(h) be the second derivative of l(h). Is x(2) prime? False Suppose 37832 = 22*w - 103584. Let r = 17425 - w. Is r composite? True Let z be (-8)/(-6)*(5 + -65 - -3). Let v = 145 + z. Suppose 67*u - v*u = -1774. Is u prime? True Suppose 4*r + 4*z - 28 = 0, 4*r + 7 = 4*z + 3. Is 6/12*(-12)/r + 3667 prime? False Let b = -236 + 237. Is (b - 14)*-802 - 134/(-134) composite? False Is (-8)/(-2) + (-226 - 37796)*(-45)/2 a prime number? True Suppose p - 16 = -3*b, -2*p - 5 = -4*b + 3. Let t = -28 + 30. Suppose -t*m + 0*m = -2*q + 3310, 2*q - p*m = 3306. Is q composite? False Let p = 55051 + -2984. Is p a composite number? False Suppose f + 5*l = 554719, -5*f = -8*f - 6*l + 1664121. Is f a composite number? False Let f be (6*30/(-4))/(-1). Let i = -707 + 1153. Suppose f*x = 43*x + i. Is x composite? False Is 2543 + -2 + -16 + -4 a composite number? False Let y be ((-1)/(-4))/((-930)/(-232) - 4). Let s be 4/20 - y/(-5). Is (s - 8)*6/4 - -556 prime? False Is -15 - (-36)/2 - 74623*-2 a composite number? False Let d(v) = 54946*v + 4. Let l be d(1). Suppose 19*x + 3631 - l = 0. Is x a composite number? True Let t = 554898 - 257543. Is t a composite number? True Suppose 8*g - 9810 - 17174 = 0. Suppose 0 = -6*i + 521 + g. Is i a composite number? True Suppose 0 = -y - y + 8*y. Suppose 5*w = -v + 288, -1177 = -y*v - 4*v + 5*w. Is v a prime number? True Is (-216632)/(-10) - 187/85 composite? False Let h(c) = c**3 + 76*c**2 - 912*c - 94. Is h(-79) a prime number? True Suppose -3*w - 196 = 5*l, -3*l = 3*w + 2*w + 124. Let o be (148/(-3))/(l/(-171)). Let d = 349 + o. Is d composite? False Let j = 90826 + 3261. Is j prime? False Suppose 4*f = -2*p + 37062, 0 = -f - 2*p + 7*p + 9249. Let q = f - 722. Is q a prime number? False Let z(j) = 3*j**3 - 136*j**2 + 44*j + 51. Let f be z(45). Suppose 6842 = 5*s - i, -3*s + f*i = i - 4092. Is s prime? False Suppose 1152 = -2*g + 11*g. Suppose -l = -9*l + g. Is 3/8 - (-6602)/l composite? True Let x(a) = 703*a**2 - a - 4. Let k be x(2). Let r(s) = -s**3 + 19*s + 12. Let p be r(-4). Suppose p = -8*c + 12830 - k. Is c a prime number? False Suppose 0 = 5*k - 4*h + 13, -5*k - 28 = -0*k + h. Let z be (5 - (-5 - k)) + 0. Is 2/((-4)/((-740)/z)) composite? True Suppose 0*j + 2*q + 22 = j, -3*j + q = -61. Suppose -5*u = -u - j. Is 2/u + (-18183)/(-55) a prime number? True Let s = -65367 - -109058. Is s a composite number? False Suppose -3*q = 5*x - 28363, -21*q + 23*q - 18894 = 4*x. Is q composite? True Suppose 27*y - 23*y - 16 = 0. Let q be ((-11)/2 + y)/((-3)/(-36)). Is q/(-24) + 7346/8 prime? True Is (138/(-12) - -9 - -3) + 487050/4 composite? False Suppose 0 = -4*x + 2*h + 48932, -2*x - h + 36699 = x. Let b = x - 8550. Is b composite? True Let p = 265825 + -179828. Is p a composite number? True Let g(u) = u**3 - 5*u**2 - u + 3. Let l be g(6). Suppose l = -i + 30. Is 158/i*(4 - 34/4) prime? False Let w = 56 + -52. Suppose 55 = -w*o + 3*i, 2*i + 0*i = 10. Is (-7758)/(-30) + (6/o - -1) a composite number? True Let q(v) = -3417*v**3 + 11*v**2 + 27*v + 3. Is q(-2) a composite number? False Let k(o) = -100*o - 569. Is k(-9) composite? False Let c(a) be the first derivative of a**2/2 + 2*a + 17. Let z be c(-1). Is (5 + 62*-6)/(z - 2) a composite number? False Is (128/1088)/((-14)/(-323561)) a composite number? False Let v(i) = 3*i - 25. Let h be v(15). Suppose 24*o - 6940 = h*o. Is o a composite number? True Is (-1)/((-36 + 33)*(-2)/(-218802)) a composite number? False Let q(r) = 78*r**2 + 46*r + 435. Is q(-26) composite? True Let y(d) = -19372*d + 5477. Is y(-27) a composite number? True Let g = -23 - -23. Suppose g = -4*y + 3*z + 36, -4*y + 36 = -4*z + 6*z. Is (-1016)/(-4) + (-1)/(3/y) a prime number? True Let s(j) = -5*j**3 + j. Let n be s(-1). Suppose 2*g - n*o = -20, -5*o = -5*g - 3*o - 34. Is (-23385)/(-1)*((-8)/g + -1) composite? True Suppose 3*v - a = 187149, 0*v + 5*a + 311915 = 5*v. Is v composite? False Let w(h) = 5*h + 6*h - 11 - 8*h + 2*h. Let c be w(3). Suppose -2*x + 954 = -c*i, 0 = -3*x - 3*i + 687 + 789. Is x composite? False Suppose 2*a + 10 = -4*a + 118. Let l(g) = 3*g + 13 - 6 + g**2 + 13. Is l(a) a composite number? True Let o(f) = f**2 + 10*f - 28. Let r be o(-6). Let j = 58 + r. Is j/9*60708/8 composite? False Let d = -26 + 26. Let o be (-6 - (-1 - d))*40*1. Is 9 - o - -2*(0 + 1) prime? True Suppose 4891 + 6254 = -3*i. Let g = i + 7386. Is g a prime number? True Let b be 80/(-280) - 13127/(-7). Suppose 0 = -2*m + 2*c + 5698, -5*m + 14238 = 5*c - 3*c. Let w = m - b. Is w a prime number? False Let l = 76 - -145. Let w(r) = -r**3 + 29*r**2 + 27*r + 88. Let h be w(30). Is (-4 + l)/(1 - (2 + h)) a composite number? True Suppose 130*x - 134*x - 16 = 0, -x = -2*m + 52110. Is m prime? True Let w(s) = 2*s**3 - 7*s**2 + 5*s - 3. Let c be w(3). Is (-1)/(c/2) + (-419733)/(-27) a composite number? True Suppose 5*l = 5*k - 6215, -3*l - 529 - 3212 = k. Let c be (-7 - 2)*l/21. Suppose -8*z + 5*z = -c. Is z a prime number? False Suppose -2362*s + 8796264 = -2338*s. Is s a composite number? False Let z(i) = i - 1. Let h be z(6). Let x be ((-6296)/(-24))/((-2)/(-24)). Suppose j + x = h*j. Is j composite? False Let a = -404851 - -1040048. Is a prime? True Let b = -3955 - -16964. Is b a prime number? True Suppose 4*u - 63156804 = 29*u - 117*u. Is u prime? False Let o(z) = 98293*z - 424. Is o(2) a prime number? False Suppose 0 = -3*z - 4*z + 55293. Suppose 0 = 11*k - 8*k - z. Is k composite? False Suppose 0 = 36*n - 32010 - 68214. Suppose -r + 1899 = -3494. Let o = r - n. Is o prime? True Let g be -2 + 2 + (7 + -12)*-1. Suppose 2*o = p + 28 - 289, 0 = 5*p + g*o - 1245. Is p composite? True Suppose -3*r - 1 = -2*r. Let m be 16/(-56) + r + (-290)/14. Let a = 564 - m. Is a a prime number? False Let h = -490339 - -739706. Is h composite? False Suppose -i - 5446 + 61082 = 5*t, i = -t + 11124. Suppose -t = 133*q - 141*q. Is q prime? False Is 18 - (28 - (-2 - -8)) - (-1 + -15502) composite? True Suppose -4*w = -3 + 7. Let c(r) = 2468*r**2 + 4*r + 3. Let j be c(w). Suppose -j - 5088 = -5*d. Is d a prime number? True Suppose 0 = -h - 0*h + 44375. Let d be h/20 - ((-15)/12 - -2). Suppose 5*a - 2*o = 5569, -4*o - d = 2*a - 4*a. Is a a prime number? False Suppose -x = -8 + 3. Suppose 2*q - x*b = 15 - 0, 0 = -2*q - 5*b - 15. Suppose g - 203 = 2*n, q*g + 4*n = 5*g - 1015. Is g a composite number? True Suppose -5*c - v = 333, v - 42 = 3*c + 153. Let y = c + 62. Is y/10 + (-2648)/(-20) + -3 composite? True Let n be ((-6)/4)/(6/(-8)) + 21. Let a = n + -17. Is (7 - 10)/(a/(-5998)) a composite number? False Suppose 0 = w + 3 - 8. Let y(j) = 11*j**3 - 6*j**2 + j - 6. Let i be y(w). Let p = 1925 - i. Is p composite? False Suppose 4*o + 4*x = -0*x + 857656, 4*x = 3*o - 643263. Is o a composite number? True Let d be 5/(5/(-1906)) + 15/(-3). Suppose 4*i = h + 1086, -h - 3288 = 2*h + 3*i. Let n = h - d. Is n a composite number? True Let o(f) = -19*f**2 + f + 15. Let h(i) = 5*i**2 - 4. Let t(z) = 9*h(z) + 2*o(z). Suppose -j + 10 = y, 4*y = j + 10 + 5. Is
{ "pile_set_name": "DM Mathematics" }
**2 + 12 + 0 + 7 - 13*c - 3. Is g(3) a multiple of 25? False Suppose 114576 = 429*m - 405*m. Is 31 a factor of m? True Suppose 240 = 3*f + f. Suppose -f = 4*b - 8*b. Suppose 0 = -17*k + 12*k + b. Is k a multiple of 2? False Let j be -7 + 1 - -4 - -21. Let p(f) = f**2 + 4*f - 157. Is 20 a factor of p(j)? True Is (5 - 164/(-8))*((-1704)/(-9))/1 a multiple of 71? True Let g be 4/(-6)*(-1215)/18. Let w(b) = 10*b + 90. Does 18 divide w(g)? True Let z(k) = -123*k - 1427. Does 10 divide z(-39)? True Suppose -660*z + 13033599 = -206*z - 256343. Does 106 divide z? False Let t = 219 + -215. Suppose 3*r = 14*a - 17*a + 240, 0 = 3*r - t*a - 240. Does 4 divide r? True Suppose b - 2*n + 28 - 148 = 0, 2*n = -b + 128. Suppose -9*j + 7*j + 3*t = -b, -2*j + 96 = 4*t. Is j a multiple of 6? False Suppose 8*u = -36*u + 20*u + 368928. Does 63 divide u? True Let b be 6 - 6 - -38 - 3*1. Let u(r) = 5*r**2 + 28 - 2*r - b + 14 + 0*r. Does 8 divide u(2)? False Suppose -16*s + 18*s = 8. Suppose 0 = 2*t - s, 5*q = 4*t - 119 + 351. Is q a multiple of 12? True Suppose -13639 = -32*z + 14841. Is 14 a factor of z? False Let g(s) = s**3 - 2*s**2 - 11*s - 6. Let r be g(6). Let l = 43 + r. Is 23 a factor of l? True Let r(k) = 456*k**3 - k**2 + k - 4. Does 61 divide r(2)? False Let d(t) = -12*t**2 - 36 + 16*t**2 - 27*t**3 + 29*t**3 - 17*t. Does 18 divide d(10)? False Let v be (0 + 6)/((-3)/(-2)). Let o be (-832)/(-14) - v/(-7). Is 10284/o + (0 - 4/10) a multiple of 42? False Let d = -15 - -18. Suppose -d*n + 18 = -21. Suppose 0 = 16*s - n*s - 156. Does 3 divide s? False Let y(g) = -g**2 + 4*g - 4. Let a be y(-4). Let v be 0/1 + -7 - (-76 - -50). Let z = v - a. Does 8 divide z? False Let i be ((-6)/(-8))/(4 + 34/(-8)). Is 28 a factor of 1588/4 - (-15)/i? True Suppose 1032*g + 84314 = 1037*g - 3*o, 4*g - 4*o - 67448 = 0. Is 5 a factor of g? False Let j be ((-8)/6)/((-4)/60). Suppose 2*t + 3*t + 4*r = -j, 2*t - 3*r = 15. Suppose t = 5*y - 4*g - 360, g = -y - 0*g + 81. Is 7 a factor of y? False Suppose 139*j - 578904 = 93*j - 80770. Is 7 a factor of j? True Let t = 7 - 3. Let h be 17080/72 - t/18. Let k = h + -132. Does 6 divide k? False Let d be (-748)/((-31)/30 - 32/(-32)). Suppose 4*l + 30*l = d. Does 20 divide l? True Suppose 14*d = -6*d + 40. Suppose -d*w = -3*o + w + 609, 219 = o + 3*w. Does 19 divide o? False Suppose -750 = -23*r + 1872. Suppose -8*b + r + 1022 = 0. Is b a multiple of 29? False Suppose -u - 17 + 19 = 0. Suppose u*m - 27 - 241 = 0. Suppose -k = 14 - m. Does 15 divide k? True Suppose 5*y + 469 + 556 = 5*q, 2*y = -2*q - 390. Let o be ((-3)/(-2))/(3/(-4)) - y. Suppose -4*z = -154 - o. Is 22 a factor of z? True Suppose -14*a + 110 = -72. Suppose -a*b + 3*v = -12*b - 353, -1819 = -5*b - 3*v. Is b a multiple of 13? False Let a = -5513 - -3859. Let l be (6/15)/2 - a/5. Suppose 5*j - 219 = l. Does 10 divide j? True Let j be -201*(4 + (-9 - -4)). Suppose -j = -i - 2*l + 67, 2*i = 4*l + 536. Does 10 divide i? False Let j = -71 + 77. Suppose -j = -3*n + 3*l + 9, -3*l - 15 = n. Suppose n = -2*x + 13 - 5. Is x a multiple of 2? True Let c(r) = -r**3 + 15*r**2 - 33*r - 28. Let j be c(12). Let n(i) = 5*i + 99. Does 2 divide n(j)? False Let s = -4526 - -12766. Is s a multiple of 16? True Let l(y) = -y**3 + 2*y + 1. Let w be l(0). Suppose 3*a - 11 = w. Let q(v) = v**2 - 4*v + 7. Is 3 a factor of q(a)? False Let y(j) be the third derivative of 1/2*j**3 + 0*j + 1/30*j**5 + 5*j**2 + 7/24*j**4 + 0. Does 26 divide y(-7)? True Let f(w) be the second derivative of -w**4/6 + 67*w**3/6 - 35*w**2/2 + 37*w. Does 3 divide f(24)? False Suppose 0 = -3*n + 4*n + 4*b, -3*n + b - 39 = 0. Let o(r) be the third derivative of -r**5/60 - 2*r**4/3 + 5*r**3/2 + 3*r**2. Is 9 a factor of o(n)? True Is 312 a factor of 207/27 - 7 - 3*85502/(-18)? False Let f be 11/(-3 + 0 + (-28)/(-8)). Suppose f = 2*d + 5*m, -4*m = -0*m - 8. Suppose 0 = -3*r - 2*x + 36, r = 2*x + 10 - d. Is r a multiple of 5? True Let x be 36/96 + (-83)/8. Let a(m) = m**2 - 19*m - 18. Is a(x) a multiple of 39? False Let b(i) = -2*i**2 - 40*i - 11. Let a be b(-19). Let r be 6/a + (-44)/(-72)*-74. Does 22 divide 3/(r/40)*330/(-8)? True Let w = -34 + 36. Suppose q - l - 30 = 0, -q + 4*l = w*l - 31. Let b = -6 + q. Does 7 divide b? False Suppose -b + 257 = -4*x - 0*x, -8 = 2*x. Let t = b + -158. Let i = t - 8. Is i a multiple of 24? False Let h(n) = -103*n**3 - 2*n**2 + 1. Suppose -o = 3*k - 6, -k + 4*o = -6*k + 17. Let z be -3 + (-2 + 1)*(-3 + k). Is h(z) a multiple of 51? True Let m = 2478 + -1764. Suppose 0 = 24*g - 7*g - m. Is 14 a factor of g? True Let a(m) = -m**2 - 3*m + 8. Let d be a(-4). Let v(g) be the second derivative of -g**5/20 + g**4/3 + g**3 - 2*g**2 + 7*g. Does 5 divide v(d)? True Let c(q) be the second derivative of 19*q**4/12 + q**3/2 + 15*q**2 + 3*q. Is c(5) a multiple of 13? True Suppose r = 5*r - 8. Let y be (6 - 4)/(r/5). Does 8 divide y/35 - 501/(-21)? True Let c be (-1 + 0)/((-3)/(-180)*-6). Is 48 a factor of (-2)/c + (-45144)/(-120)? False Suppose -87*h = -84*h - 9. Suppose -4*w = -4*m - 133 - 87, -2*w + h*m = -108. Does 6 divide w? False Suppose 0 = 13*z + 399 + 1226. Let u = 128 + z. Suppose 4*y = u*n - 335, n + 5*y - 290 = -2*n. Does 19 divide n? False Suppose q = 3*o - 534, 4*q + o = 6*q + 1083. Let n = -300 - q. Is 9 a factor of n? True Let s(c) = -22*c + 5. Let l be s(-2). Let x = -46 + l. Suppose -x*i + 101 = 5*d + 31, 0 = d - 3*i - 32. Does 6 divide d? False Does 67 divide ((-196779)/(-134))/((-15)/(-6)*(-2)/(-60))? False Let f(a) = -8*a**2 + 441*a - 31. Does 5 divide f(13)? True Suppose 5*c = 4*g + 7319 - 63718, 0 = -4*g - 5*c + 56409. Does 19 divide g? False Suppose 0*u = -20*u + 101218 + 87062. Is u a multiple of 18? True Suppose -4*k = 3*r - 9640, -13*r + 4798 = 2*k - 17*r. Is 7 a factor of k? False Let k = 185 - 182. Suppose k*w + 2688 = 10*w. Does 40 divide w? False Let x = 33 - 8. Let k = 186 - 149. Let b = k - x. Does 12 divide b? True Let s = -6 - -4. Suppose 81*l = -0*l + 1053. Is 10/s - -1 - (l - 70) a multiple of 6? False Let m = 410 + -93. Let y = -197 + m. Is y a multiple of 10? True Let z be -2 + (-29)/(-4) - (-15)/(-60). Suppose 0 = 4*n + 3*f + 121, -n - z*f = -3*n - 67. Let j = n - -41. Is j a multiple of 6? False Let a(s) = 56 - 2*s + 14*s + 34 + 4*s. Is a(9) a multiple of 11? False Suppose 391*m + 5284 = 395*m + 5*i, 3990 = 3*m - 3*i. Does 51 divide m? True Suppose -42*q = -14406 - 84. Suppose 4*n + 301 = q. Does 2 divide n? False Suppose y = 5*o - y - 16, 5*o = y + 13. Is 19 a factor of (-304)/(30/(-45)*(o + 1))? True Let m = -1325 + 943. Let s = m - -668. Is s a multiple of 22? True Let t be 4/(-6) - 7/(63/156). Let w be ((-235)/30)/(3/t). Let r = -34 + w. Is r a multiple of 5? False Let q(t) be the third derivative of t**4/6 + 6*t**3 + 27*t**2. Let p be q(6). Suppose -i - 40 = -a, -a + p = a + 2*i. Is 5 a factor of a? True Let g = -7327 - -13343. Does 47 divide g? True Let t = 7 + -5. Suppose 3*u + 11 = -t*g, -3*g + 9 = -u - 3*u. Does 16 divide (3843/(-15) - (-1)/5)/g? True Let m(k) = -k. Let y(r) = 3*r + 34. Let l(w) = 5*m(w) + y(w). Is l(11) a multiple of 6? True Suppose 8 = -4*j, 2*j - 5*j = -3*y + 36. Suppose -407 = -y*a - a. Suppose -h + 1 = -a. Does 5 divide h? False Let r = 83 - 104. Let w = 26 + r. Suppose -c = 3*d - 138, w*d + 4*c - 9*c = 210. Is d a multiple of 9? True Suppose 3*f - 3*w = -39, 2*f + 3*w - 11 = 3*f. Let h(x) = x - 26. Let z(m) = -m + 1. Let k(a) = 2*h(a) + 6*z(a). Is k(f) even? True Let o = 6288 + -6149. Is o even? False Suppose -2*x = -313 - 375. Let w(n) = 51*n + 348 + 16*n - x. Does 44 divide w(1)? False Suppose -9016 = -10*y + 24824. Is 24 a factor of y? True Let x(l) be the second derivative of 27*l + 29/6*l**3 + 0 - 8*l**2. Is 43 a factor of x(5)? True Let b = -986 - -991. Let u(i) = -12*i + 16. Let w(v) = -v + 1. Let p(x) = -u(x) + 6*w(x). Is p(b) a multiple of 8? False Let w(v) = v + 39. Let i be w(-11). Is 14 a factor of 756*(-7)/i*-2? True Let n = -554 - 204. Let z = n + 1267. Does 11 divide z? False Suppose m - 348 = 4*t, 226 = 4*m - 5*t - 1111. Let f = 547 - m. Is f a multiple of 25? False Suppose -5*w + 695 = -4*m, -19*w + 349 = -2*m - 16*w. Let q = -102 - m. Is q a multiple of 21? False Let k(c) = 8818*c - 2. Let z be k(1). Is 14 a factor of z
{ "pile_set_name": "DM Mathematics" }
vative of -23/6*h**3 + 0 - 3/2*h**2 + 13*h. Differentiate d(l) wrt l. -23 What is the third derivative of -2*q + 42*q**2 + 3*q**2 - 246*q**4 - 14*q**2 wrt q? -5904*q Let f = 5 - 3. What is the third derivative of 34*p**f - 6*p**4 - 17*p**2 - 5*p**2 wrt p? -144*p Let l be 2876/12 - 1/(-3). Let c be l/25 + (-2)/(-5). Find the second derivative of -o**4 + 5*o - c*o + 0*o**4 wrt o. -12*o**2 Let x(r) be the second derivative of 0 - 14*r + 0*r**5 + 0*r**4 + 8/15*r**6 - 14/3*r**3 + 0*r**2. What is the second derivative of x(g) wrt g? 192*g**2 Suppose -4*h - 12 = -6*h. Suppose 5*q + 5 = 7*l - 11*l, -l - 3*q = 3. Find the second derivative of h*t + l*t**5 + 4*t**5 - 5*t**5 wrt t. -20*t**3 Let g(m) be the third derivative of 0*m**4 + 0 + 0*m**3 + 0*m**6 - 8*m**2 + 0*m + 1/15*m**7 + 19/60*m**5. What is the third derivative of g(k) wrt k? 336*k Let k(i) be the second derivative of 0 + 9/2*i**2 + 5*i + 4/3*i**3. What is the first derivative of k(s) wrt s? 8 Let u(t) be the first derivative of 11*t**5/20 - 2*t**3/3 + 10*t - 9. Let p(i) be the first derivative of u(i). Find the second derivative of p(k) wrt k. 66*k Find the second derivative of 0*w**2 - 24*w + 2 - 32*w**2 + 0 - 21*w**2 wrt w. -106 Let j be (-3)/(-9)*(3 + 3). What is the third derivative of v**j + 42*v**3 + 37*v**3 - 67*v**3 wrt v? 72 Let o be -2*(5/10 - -2). Let c be 5/(-2)*4/o. What is the second derivative of -5*r**2 + 7*r - 2*r**2 + 2*r**c wrt r? -10 Find the third derivative of 0*w**2 - 49*w**5 + 0*w**2 + 47*w**5 - 18*w**2 + 18*w**4 wrt w. -120*w**2 + 432*w Let l be -2 + 3 - 0 - -3. Let y(b) = -2*b**2 - 25*b. Let c(o) = 5*o**2 + 75*o. Let t(p) = l*c(p) + 11*y(p). Find the second derivative of t(s) wrt s. -4 Let s(p) = p**2 + p - 9. Let n(t) = -7*t**2 + t + 10. Let a(w) = 2*n(w) - 6*s(w). Find the first derivative of a(r) wrt r. -40*r - 4 Let z(c) be the first derivative of -9*c**5/20 - 19*c**3/6 - 21*c + 3. Let f(y) be the first derivative of z(y). What is the second derivative of f(x) wrt x? -54*x Let l(q) be the first derivative of -127*q**6/6 + 2*q**3/3 - 229*q**2/2 - 291. What is the second derivative of l(m) wrt m? -2540*m**3 + 4 Suppose 5*l - 12 = 33. What is the second derivative of 6*d**4 - 22*d**4 - 6*d**4 + 11*d - l*d wrt d? -264*d**2 Let f be (0 - 2) + (-9)/(-3). Let w(g) = 11*g - 1. Let k be w(f). What is the first derivative of 7*d**3 - k*d**3 + 5*d**3 - 2 wrt d? 6*d**2 Let u(z) = -37 + 27*z**2 - 3 + 18*z**2 - 9*z. Let a(l) = -11*l**2 + 2*l + 10. Let c(m) = 9*a(m) + 2*u(m). Find the first derivative of c(o) wrt o. -18*o Let l(q) = q**2 + 5*q - 3. Let j = -21 + 15. Let r be l(j). Find the first derivative of -77 + 75 + 3*a**3 + r*a**3 wrt a. 18*a**2 Let t(j) = -1 - j + 1. Suppose -3*n + k + 7 = -0*k, 21 = n - 5*k. Let r(z) = -z**2 - 3*z + 9. Let l(v) = n*r(v) - 3*t(v). Differentiate l(m) wrt m. -2*m Let j(i) be the third derivative of i**8/112 + 7*i**5/6 + 227*i**4/8 - i**2 - 531. Find the second derivative of j(b) wrt b. 60*b**3 + 140 What is the second derivative of -98*x**2 - 12*x**2 - 85*x + 3 + 44*x + 39*x wrt x? -220 Find the first derivative of 124 + 75 + 46 - 66 + 161*f**2 wrt f. 322*f What is the third derivative of 17*a**5 - 6*a**5 + 46*a**2 - 3*a**5 - 19*a**4 + 59*a**2 + 35*a**2 wrt a? 480*a**2 - 456*a Suppose 0 = -y - 3*l, 3*y + 2*l - 2 - 5 = 0. Suppose -1 = y*z - 10. Differentiate -3*n**3 - 1 - 2*n**3 - z - n**3 wrt n. -18*n**2 Let z(a) = -a**3 + 9*a**2 - 7*a - 5. Let f be z(8). What is the second derivative of -f*t**3 + 4*t - 12*t**3 + 0 + 0 wrt t? -90*t Let a(c) be the second derivative of c**3/6 + c**2 - 47*c. Let y(o) = 31*o - 1. Let h(w) = -5*a(w) + y(w). What is the derivative of h(d) wrt d? 26 What is the third derivative of 8363*r**2 - r**3 - 7935*r**2 + 17*r**5 + r**3 wrt r? 1020*r**2 Let l(t) = 40*t**3 + 3*t**2 - 6*t + 100. Let h(z) = -81*z**3 - 5*z**2 + 10*z - 200. Let j(w) = 3*h(w) + 5*l(w). Differentiate j(s) wrt s. -129*s**2 Let j(l) be the second derivative of -5*l**7/21 - 7*l**5/10 - l**4/12 + 15*l**2/2 - 2*l - 75. What is the third derivative of j(t) wrt t? -600*t**2 - 84 Let c(k) be the third derivative of -19/60*k**5 + 0*k**4 + 0*k + 0 + 17/120*k**6 + 0*k**3 + 20*k**2. Find the third derivative of c(a) wrt a. 102 Let b(q) = -q**2 + 6*q + 3. Let p be b(6). Let z be p/(9/(-12)) - -10. What is the third derivative of 10*c**5 - z*c**2 + 7*c**2 + 2*c**5 wrt c? 720*c**2 Find the third derivative of -606*o**2 + 79*o**3 - 30*o**3 + 586*o**2 wrt o. 294 Let h(n) be the first derivative of 33*n**4/4 + 25*n**3 + 4. Find the third derivative of h(g) wrt g. 198 What is the third derivative of -145*g**2 - 337*g**6 - 110*g**6 - 58*g**6 + 33*g**6 + 462*g**2 wrt g? -56640*g**3 Let l(f) = f + 2. Let w be l(-2). Suppose 3*z - 4 - 5 = w. What is the second derivative of -4 + 3*b**5 + z + 1 - 3*b wrt b? 60*b**3 Let r(y) = y**3 + y**2. Let j(g) = g**3 + 3*g**2 + 17*g**3 - 5*g**3 + 6*g**2 + 2. Let o(d) = -2*j(d) + 18*r(d). What is the derivative of o(a) wrt a? -24*a**2 Let q(b) be the first derivative of -27*b**4/2 + 70*b**3/3 - 212. Find the third derivative of q(l) wrt l. -324 Let n(k) be the second derivative of k**4/6 + k**3/2 - 103*k**2/2 - 12*k + 3. What is the derivative of n(i) wrt i? 4*i + 3 Let v be -1*(-9)/3*1. Differentiate 4*i**3 + 7 - 2*i**v - 20*i**3 + 6 with respect to i. -54*i**2 What is the third derivative of 27*x**2 + 17*x**2 - 65*x**2 - 381*x**4 - 194*x**2 wrt x? -9144*x Let v be (2 - 7) + (-112)/(-16). Let s(h) = 10*h - 16. Let l(t) = 30*t - 49. Let d(n) = v*l(n) - 7*s(n). What is the first derivative of d(q) wrt q? -10 Let f(s) = -27*s**3 - 54*s**2 - 7*s. Let q(z) = 14*z**3 + 27*z**2 + 4*z. Let y(g) = 4*f(g) + 7*q(g). What is the third derivative of y(i) wrt i? -60 Let z(h) be the second derivative of 7/30*h**6 + 0 - 2*h + 0*h**2 - 7/3*h**3 + 0*h**4 + 0*h**5. What is the second derivative of z(w) wrt w? 84*w**2 Let r(s) = s**3 - 7*s**2 - 5*s - 18. Let b = -25 - -33. Let n be r(b). What is the derivative of -a**4 - 7*a**3 + n*a**3 + a**3 - 1 wrt a? -4*a**3 Let k(a) = -a**3 + 4*a**2 - 3*a + 3. Let q be k(3). Let j be (1 - 2) + 3 + 1. Differentiate -j + 2*b**q - 2*b**3 - b**4 wrt b. -4*b**3 Let t be 0 + (5 + 0)*(-8 + 10). Find the second derivative of -t*l + 47*l - 9*l**3 - 13*l - 17*l wrt l. -54*l Let w(m) = -m**3 - m**2 - 2*m - 1. Let r(u) = -79*u**3 - 2*u**2 - 4*u - 65. Let k(i) = r(i) - 2*w(i). What is the derivative of k(l) wrt l? -231*l**2 Let b(j) be the first derivative of 0*j**5 + 0*j**4 - 1/3*j**3 + 0*j**2 + 10 + 0*j - 1/3*j**6. What is the third derivative of b(z) wrt z? -120*z**2 Let u be (-1)/(0 + (-4)/8). Find the third derivative of 27*v - 27*v - v**u + 0*v**2 + 5*v**6 wrt v. 600*v**3 Let g = -23 + 28. Find the second derivative of -g*y**3 + 8*y**2 + 14*y**3 + 8*y - 8*y**2 wrt y. 54*y Let q(g) = -48*g**2 - 36*g + 17. Let d(u) = -2 - 343*u + 8*u**2 + 3 + 349*u - 4. Let w(c) = -34*d(c) - 6*q(c). What is the second derivative of w(a) wrt a? 32 Let a = 8 - 17. Let m = 13 + a. What is the third derivative of -3*r**5 - m*r + 3*r - 2*r**2 + r wrt r? -180*r**2 Let d(a) = -22*a**3 + 6*a - 8. Let r(u) = 4 - 5 + 2*u**3 - u**3 - u. Let s(k) = -d(k) - 6*r(k). What is the first derivative of s(g) wrt g? 48*g**2 Let h be 20/5 - (3 - 1). Find the third derivative of -9*m**2 - 4*m**6 + 7*m**h - 10*m**2 wrt m. -480*m**3 Let q(v) = v**3 + 5*v**2 - 8*v - 7. Let n be q(-6). Find the second derivative of -2*j - 2*j - 4*j + 7*j**n wrt j. 140*j**3 Let h(q) be the second derivative of -107*q**6/5 + 356*q**3/3 - q - 1. What is the second derivative of h(s) wrt s? -7704*s**2 Find the third derivative of -70*s**4 - 178*s**4 - 84*s**2 + 9*s - 11*s + 16*s**2 wrt s. -5952*s Let v(k) be the third derivative of 83*k**8/168 + k**5/12 + k**4/8 + 6*k**2 + 2*k. Find the third derivative of v(h) wrt h. 9960*h**2 Suppose 5*v + 6 = 31. Let z be (-6)/(-2) - (1 - 3). What is the third derivative of 0*k**v + 13*k**2 - 5*k**2 - 4*k**z wrt k? -240*k**2 What is the first derivative of 21 + 64*v**3 + 96 - 10 - 335*v**3 + 107 wrt v? -813*v**2 Let z(g) = g**3 - g**2 - g - 1. Let x(d) = -325*d**4 - 8*d**3 + 11*d**2 + 8*d + 153. Let y(u) = x(u) + 8*z(u). Find the third derivative of y(a) wrt a. -7800*a Let l(w) be the second derivative of w**7/3 + 25*w**3/3 + 71*w. Find the seco
{ "pile_set_name": "DM Mathematics" }
3 + 536*i - 3 Collect the terms in 13*f + 13*f - 42*f + 19*f - 11*f. -8*f Collect the terms in -3*h + 2*h + 92 - 69. -h + 23 Collect the terms in -17216917781*h + 17216917781*h - 3*h**2. -3*h**2 Collect the terms in 11 - 3504*w - 11 + 3513*w. 9*w Collect the terms in 621*s**3 - 302*s**3 - 307*s**3. 12*s**3 Collect the terms in -1450*b - 1198*b + 1014*b. -1634*b Collect the terms in 10 + 9 - 753*f**3 - 19. -753*f**3 Collect the terms in k**3 - 336*k**2 - 94*k**2 - 2 - 131*k**2. k**3 - 561*k**2 - 2 Collect the terms in -974043*k**2 + 1948077*k**2 - 974054*k**2. -20*k**2 Collect the terms in 52*h - 52*h - 33*h**3 + 5*h**3 + 17*h**3. -11*h**3 Collect the terms in 12*b + 25*b + 5*b + 7*b - 47*b. 2*b Collect the terms in -10*u**2 - 37*u + 58*u - 21*u. -10*u**2 Collect the terms in 26*b**2 + 22*b**2 - 69*b**2 - 3*b**2 + 29*b**2 - 5*b. 5*b**2 - 5*b Collect the terms in -g + 4*g - 3*g + 3*g**3 - 5*g**3. -2*g**3 Collect the terms in 9*a**2 + 674939 - 674939. 9*a**2 Collect the terms in 8829*u - 17545*u + 8719*u. 3*u Collect the terms in -188*y**3 + 43*y**3 + 50*y**3 + 57*y**3 + 43*y**3. 5*y**3 Collect the terms in 648*b**3 - 657*b**3 + 2268395 - 2268395. -9*b**3 Collect the terms in 7772*u - 7772*u - 61*u**2. -61*u**2 Collect the terms in -168*n**2 + 191 - 191 + 42*n. -168*n**2 + 42*n Collect the terms in 5*d**3 + 428*d**2 + 425*d**2 - 853*d**2 + 4*d**3. 9*d**3 Collect the terms in 638 + 6*j - 219 - 204 - 215. 6*j Collect the terms in 4*s + 189732 - 189732. 4*s Collect the terms in 64 - 17 - 27 + 30*q**2 - 22 - 13*q**2. 17*q**2 - 2 Collect the terms in -164 - 173 - 167 + 504 - 12*p. -12*p Collect the terms in -428*o + 225*o**2 + 428*o - 226*o**2. -o**2 Collect the terms in 8 - 21 + n + 85*n**2 + 13. 85*n**2 + n Collect the terms in 3*n**2 + 0*n**2 - 2*n**2 + 13*n**2 - 38*n**2. -24*n**2 Collect the terms in -337*l**3 + 2 + 0 + 20*l**3 - 137*l**3. -454*l**3 + 2 Collect the terms in 3856*k + 3913*k + 3961*k. 11730*k Collect the terms in -15*x + 174 + 97 - 271. -15*x Collect the terms in 264*b**2 - 797*b**2 + 16 - 16. -533*b**2 Collect the terms in -8 - 14 + 31 - 9 + 484*r. 484*r Collect the terms in 4*n**2 + 14 - 21*n**3 - 7 - 2*n**2. -21*n**3 + 2*n**2 + 7 Collect the terms in 13*o**2 - 53*o**2 + 17*o**2 + 18*o**2 + 6*o**2. o**2 Collect the terms in 14 - 6 - 26 - 146*l**2 + 10. -146*l**2 - 8 Collect the terms in 6*h**3 + 10*h**3 - 409*h**2 + 409*h**2. 16*h**3 Collect the terms in 9*c + 1629 + 1622 + 1641 - 4892. 9*c Collect the terms in -16*x**2 - 3*x**2 + 16*x**2 + 5*x**2. 2*x**2 Collect the terms in -5*k**2 + 3*k**2 - 7278*k - k**2. -3*k**2 - 7278*k Collect the terms in 3*y**3 + 125*y + 156*y + 0*y**3. 3*y**3 + 281*y Collect the terms in 273*x**3 + 250*x**3 + 259*x**3 - 1013*x**3 + 267*x**3. 36*x**3 Collect the terms in -2*t + 1307*t**2 + 5872*t**2 + 3*t - 771*t**2. 6408*t**2 + t Collect the terms in -9*x + 13*x - 160 + 161. 4*x + 1 Collect the terms in 7*z + 2 + 9*z + 13*z - 27*z - 10. 2*z - 8 Collect the terms in 4*p**3 + 2*p**3 + 337*p + 3*p**3 - p**3. 8*p**3 + 337*p Collect the terms in 8*s**2 - 7*s**2 + 26*s**2 - 1 + 16*s**2 + 6*s**2. 49*s**2 - 1 Collect the terms in 2*i**2 + i**2 + 4*i**3 + 2*i**2 - 11*i**3. -7*i**3 + 5*i**2 Collect the terms in -5674*l + 1822*l + 2018*l + 2077*l. 243*l Collect the terms in 50226275 + 8*h - 50226275. 8*h Collect the terms in -917*w**2 - 48687 + 48687. -917*w**2 Collect the terms in -5 - 52*t**3 + 5 + 101*t**3. 49*t**3 Collect the terms in -2394 - 25*n + 4805 - 2411 + 28*n. 3*n Collect the terms in 371*n + 0 + 191*n + 3 - 1 - 337*n. 225*n + 2 Collect the terms in -420*v**3 + 48*v**3 + 9*v**3 - 852*v**3. -1215*v**3 Collect the terms in -7 - 7 - 5 - 13 + 13*z**3. 13*z**3 - 32 Collect the terms in 0 + 1 - 1 - 308*k**2. -308*k**2 Collect the terms in 81*c**2 - 50*c**2 - 26*c**2. 5*c**2 Collect the terms in -3*i + 8934*i**2 + 3*i - 8767*i**2. 167*i**2 Collect the terms in -5602*g + 11021*g - 5413*g. 6*g Collect the terms in 13*m - 8*m - 14*m + 6*m. -3*m Collect the terms in 114 - 51 + 424*u - 49. 424*u + 14 Collect the terms in 30*i**2 - 30*i**2 + 2*i**3 - 1836*i. 2*i**3 - 1836*i Collect the terms in 2*m**3 - 1217152231*m + 1217152231*m. 2*m**3 Collect the terms in 63*n**3 + 20*n + 21*n + 14*n - 55*n. 63*n**3 Collect the terms in -j**3 + 2 + 39*j - 38*j + 86*j. -j**3 + 87*j + 2 Collect the terms in 10 - 8 + 8 + 17*j - 40*j. -23*j + 10 Collect the terms in -3 - 4 - 646*o**3 + 5 + 0*o + o. -646*o**3 + o - 2 Collect the terms in 26675*d**2 + 27651*d**2 - 54325*d**2. d**2 Collect the terms in -11 + 37 - 8 - 16 - r. -r + 2 Collect the terms in 2*d - 2*d**3 + d**3 + 10*d**3 + 994. 9*d**3 + 2*d + 994 Collect the terms in -191*w**2 + 345*w**2 - 151*w**2. 3*w**2 Collect the terms in 295 + 201*f**3 + 294 - 589. 201*f**3 Collect the terms in 151*i**3 + 14*i**3 + 71*i**3 + 2*i**3. 238*i**3 Collect the terms in 778127*q + 2117260*q + 971239*q + 1. 3866626*q + 1 Collect the terms in 12104*d**3 - 12007*d**3 + d + 0*d. 97*d**3 + d Collect the terms in 433*p**2 + 410*p**2 - 1250*p**2 + 407*p**2 + p**3. p**3 Collect the terms in 85*f**2 + 374*f**2 + 2*f**2. 461*f**2 Collect the terms in 294*a + 11*a**2 - 102*a - 11*a**2 + 2*a**3. 2*a**3 + 192*a Collect the terms in 4*q**2 - 6 - 636*q + 636*q + 6 + 5*q**2. 9*q**2 Collect the terms in -1315*b**2 - 143*b + 1325*b**2 + 143*b. 10*b**2 Collect the terms in 194*a + 17 + 193*a - 777*a + 195*a + 192*a. -3*a + 17 Collect the terms in -597*x**3 + 1 + 7 - 13 + 5. -597*x**3 Collect the terms in -758*t**2 + 760*t**2 + 270*t - 18*t. 2*t**2 + 252*t Collect the terms in 1331 + 307*r**3 - 1331. 307*r**3 Collect the terms in -161*g + 84*g + 73*g. -4*g Collect the terms in 11*x + 322*x - 164*x - 165*x. 4*x Collect the terms in 83*y**3 - 22*y**3 - 246*y**3 - 46*y**3. -231*y**3 Collect the terms in 64297*m - 2 + 2. 64297*m Collect the terms in 526*w - 2031*w + 502*w + 498*w + 5*w**2 + 505*w. 5*w**2 Collect the terms in -85*o**3 + 6*o - 10*o + 4*o + 70*o**3. -15*o**3 Collect the terms in 2 - 3*n**2 + 3*n**2 - n**2 - 3495*n. -n**2 - 3495*n + 2 Collect the terms in -3*i + 0*i + 383*i**2 + 3*i. 383*i**2 Collect the terms in 38453*o**2 - 38449*o**2 + 0*o + 0*o. 4*o**2 Collect the terms in -2*x - 178*x**3 - 39*x + 162*x**3. -16*x**3 - 41*x Collect the terms in -5*f**3 + 11*f + 17*f - 1171*f**2 + 1171*f**2. -5*f**3 + 28*f Collect the terms in 106*j**3 + 97*j**3 - j**3 + 12*j**3. 214*j**3 Collect the terms in 8*k - 16*k - k - 4*k + 16*k. 3*k Collect the terms in -2*q**2 + 332548*q - 332548*q + 6*q**2 + 4*q**2. 8*q**2 Collect the terms in 2*y**3 - 29*y + 34*y - 16*y. 2*y**3 - 11*y Collect the terms in 17638 - 4401 - 4405 - 4403 - 4429 - t. -t Collect the terms in -106 - 6*k**3 + 320 - 106 - 108. -6*k**3 Collect the terms in -5*l - 2 - 4 + 2*l - 32*l - 2*l. -37*l - 6 Collect the terms in 3*h**2 - 90 + 273 - 93 - 90. 3*h**2 Collect the terms in -24 + 2*k - 2 - 1. 2*k - 27 Collect the terms in 688547918*f - 10*f**2 - 688547918*f. -10*f**2 Collect the terms in 433*d**3 - 206*d**3 - 205*d**3. 22*d**3 Collect the terms in 1538 - 1538 + 25*p. 25*p Collect the terms in 5292882 + 91*m**2 - 5292882 - 3*m**2. 88*m**2 Collect the terms in -204 - 202 - 9166*k + 406. -9166*k Collect the terms in -148*l + 148*l + 59*l**2 + 4 - 60*l**2 - 96*l**2. -97*l**2 + 4 Collect the terms in -231*b + 10 - 471*b - 17 - 3*b**2 + 7. -3*b**2 - 702*b Collect the terms in -24 + 2*h**2 + 7*h + 24 + 4*h - 11*h. 2*h**2 Collect the terms in -4007*f**3 + 8260*f**3 - 4256*f**3. -3*f**3 Collect the terms in -212*x**2 + 137 - 274 + 214*x**2 - 237 - 148. 2*x**2 - 522 Collect the terms in 10*c**3 + 21*c - 55 + 55 - 19*c. 10*c**3 + 2*c Collect the terms in -2*p**3 - 18*p**3 + 2749*p - 2749*p. -20*p**3 Collect the terms in 122*j**3 - 2*j**3 - 202*j**3. -82*j**3 Collect the terms in -4588*c + 1526*c + 1524*c + 1536*c. -2*c Collect the terms in 2056*y**3 - 1047*y**3 - 1007*y**3. 2*y**3 Collect the terms in -46*i**3 + 24*i**3 + 231*i**3. 209*i**3 Collect the terms in 56486*h**2 - h**3 - 56486*h**2. -h**3 Collect the terms in -829751675*o + 4*o**2 + 829751675*o. 4*o**2 Collect the terms in -91*l**3 - 7 - 1 - 69*l**3. -160*l**3 - 8 Collect the terms in -3716 - 3743 + 7459 - 3*h. -3*h Collect the terms in -5 - 35286*q**2 + 8 - 3. -35286*q**2 Collect the terms in 10
{ "pile_set_name": "DM Mathematics" }
ng m is positive. m**(-8557/5635) Simplify (s*s**(-13/3)*s**(1/24)/s)/(s**(2/9)/s*s*s**(-2/7)/s) assuming s is positive. s**(-1627/504) Simplify (b**(3/7))**(1/19)*b/(b/(b/b**15))*b**(-10/9) assuming b is positive. b**(-18061/1197) Simplify x/(x*x*x**(-2/15)*x)*x**(4/3)*(x**(-9)/x)/x**(7/6) assuming x is positive. x**(-117/10) Simplify ((q**12*q)/q)**(-39)/(q/q**(1/18))**(-10) assuming q is positive. q**(-4127/9) Simplify ((x*(x*x**5)/x)**38)**(-3/2) assuming x is positive. x**(-342) Simplify ((f/(f/(f*f**39)))/(f*f**(-1/6)))**(-2/9) assuming f is positive. f**(-235/27) Simplify (r**0*r/(r/r**(-1/3))*r*r/((r**(-1)*r)/r*r)*r**5)**(-2/65) assuming r is positive. r**(-8/39) Simplify k**(-13/2)/k*k/(k*k**(-3/11))*k*(k**19/k)/k**(-18) assuming k is positive. k**(655/22) Simplify (d*d*d*(d*d**(2/37)/d)/d*d**(2/29))/((d*d**7)/d)**(-21) assuming d is positive. d**(160009/1073) Simplify (g**12*g)/(g*g**10)*(g**(-1/5)/g)**(4/15) assuming g is positive. g**(42/25) Simplify (m**(-1/3)/(m*(m*m/(m**(-6)/m))/m)*(m*m*m*m/(m/(m**0/m))*m)**(-1))**(-2/41) assuming m is positive. m**(74/123) Simplify ((g/((g**(-4)/g)/g*g)*g**3)**(2/27))**25 assuming g is positive. g**(50/3) Simplify (((b/(b/(b*b**0/b*b))*b)**(-2/57))**(-43))**(22/5) assuming b is positive. b**(3784/285) Simplify (x**(-16)*x/(x/(x*x**(-4/5)*x)*x))/((x/(x**(-15)/x)*x)/x*x**(-6)) assuming x is positive. x**(-134/5) Simplify ((k/(k/k**(2/15))*k**(2/3))/(k**5/k*k**(-3/4)/k))**(-26/3) assuming k is positive. k**(377/30) Simplify ((m**(-13)*m)/(m/m**(-2/11)))/((m*m**(-10))/(m*m**(1/7))) assuming m is positive. m**(-234/77) Simplify (((t*(t*t**(-1/2)/t)/t)/t)/t)**(-18)/(t/(t**(4/13)*t))**39 assuming t is positive. t**57 Simplify (b**(1/3)*b**(-5)*b**7/b*b**(3/8)*b)**33 assuming b is positive. b**(715/8) Simplify (a**(-1/5)/a*a*a/(((((a/(a/a**23)*a)/a)/a)/a)/a))**(-10) assuming a is positive. a**192 Simplify (y**13/y)/(y/(y*y*y**(-5/7)))*y*y**(-1/7)*y**(2/25) assuming y is positive. y**(2314/175) Simplify (r*r**(6/11)*r*((r/(r/r**(-8)))/r)/r)/(((r/(r*(r/r**9)/r*r))/r)/(r*r/(r*r/r**(-4)*r))) assuming r is positive. r**(-214/11) Simplify (a/(a**12*a))/(a*(a*a**4*a)/a)*(a/(a*a**(-8)*a))/(a*a*a**11) assuming a is positive. a**(-24) Simplify (i*(i**7*i)/i*i**(3/8))/(i*i/i**(-5/7)*i*(i*i*i*i/(i*i**(-11)/i)*i)/i) assuming i is positive. i**(-579/56) Simplify y**5/y*(y/(y**22*y*y))/y*y*((y*y**(2/51)*y*y)/y*y)**38 assuming y is positive. y**(4921/51) Simplify (k**10*k/(k/(k*k**(-3)/k)))/((k**(-3/7)/k)/k**10) assuming k is positive. k**(129/7) Simplify (((((s**1/s)/s)/s)**(-1/3))**(-2/61))**12 assuming s is positive. s**(-16/61) Simplify f/((f*f**(-2)*f*f)/f)*f**(-2/3)*(f/(f*f**(10/3)*f))/f**(-15) assuming f is positive. f**11 Simplify (p**(-2/3))**22*(p**(-3))**(1/73) assuming p is positive. p**(-3221/219) Simplify h**(-5)/(h/((h/h**(-3))/h))*(h**3/h*h)**(9/8) assuming h is positive. h**(3/8) Simplify ((r*r**4*r*r)/r**3)/((r**(-7)*r)/r**(-17)) assuming r is positive. r**(-7) Simplify w**(-16/7)*w**(-1/4)/w*w*w**1*(w/w**(1/6))/w assuming w is positive. w**(-143/84) Simplify (k**24*k*k*k*(k*k**(1/21)*k*k)/k)/(k**(-3)*k**(-33)*k) assuming k is positive. k**(1345/21) Simplify (((w**(-1/3)*w*w)**(-4))**4)**(-22) assuming w is positive. w**(1760/3) Simplify h**(-3/2)/(h*h*h**14*h*h*h)*(h/(h*h/h**(-1)*h*h)*h)/(h*h**1) assuming h is positive. h**(-51/2) Simplify ((g*g*g**0)/g)**(-21/5)*g*g**(-6)*(g**(8/7)*g)/g*g assuming g is positive. g**(-247/35) Simplify (b**(-10/7))**(-14/5)*b/(b*b**(-10/7))*(b*b**4*b)/b assuming b is positive. b**(73/7) Simplify x**(-7)*x**(-12)*x*x*(x/(x*x**(-7)*x)*x)**47 assuming x is positive. x**312 Simplify ((((((c**(-12/7)*c)/c)/c)/c*c)/(c/(c/(c/(c**9*c*c)))))**(2/93))**35 assuming c is positive. c**(170/31) Simplify (g*g**(-2)*g*g*g**(-7))/((g*g*g**(-3/10))/(g*g*g**(-8))) assuming g is positive. g**(-137/10) Simplify ((k*k*k*k**(-6)/k*k)/k*k/k**(-12))/((k**(-3/2)/k)/((k/(k*k**3))/k)) assuming k is positive. k**(15/2) Simplify d**(-2)/(d*d**2/d)*d**(4/3)*d*d*(d/(d**(-4/7)/d))/d*d assuming d is positive. d**(40/21) Simplify ((m/m**(2/25))/(m/(m**(9/2)*m)))**(1/9) assuming m is positive. m**(271/450) Simplify (r/(r*r*r*(r/r**(-2/23))/r)*r*r**(-4)*((r**3*r)/r*r)/(r*r/((r*r**(1/4))/r)))**(-45) assuming r is positive. r**(11745/92) Simplify (y**(-2/27))**48*y**25/y*y**(-26) assuming y is positive. y**(-50/9) Simplify (((i/(i/(i/((i**3*i)/i*i))))/i*i*i*i)/i*i)**(-45)*i/i**(4/5)*i*i**5 assuming i is positive. i**(256/5) Simplify ((x/(x/(x*x/(x**(3/5)/x)))*x)/x**(4/7))/(x**(-1/16)/(x*x/(x/(x*x**7/x*x)*x)*x*x)) assuming x is positive. x**(7219/560) Simplify (r/((((r*r**(1/15))/r)/r)/r)*r)/r*r*r*r**(-1/8)*r*r*r/((((r*r*r**(-5)*r*r)/r)/r)/r)*r**(3/2) assuming r is positive. r**(1597/120) Simplify ((l**(-3/8)/l*l)/l**(1/12))/((l*l**(-4/3)*l)/(l*l**(-17))) assuming l is positive. l**(-137/8) Simplify (((m/(m/(m/(m/m**(2/43)))*m*m))/m)/m*m*m**(2/7))/((m/(m/(m**6/m*m)))/(m/m**(-2/23))) assuming m is positive. m**(-52482/6923) Simplify g**(1/6)*(g/(g**(-7/4)/g)*g)/g*(g**(5/4)/g)/((g/(g**1/g))/g) assuming g is positive. g**(25/6) Simplify (g*g**13*g*g**(-21))**(-6) assuming g is positive. g**36 Simplify (z*z**(-3/7))**(-3/22)*z**20*z*z/z**(-4/15) assuming z is positive. z**(25628/1155) Simplify (u*(((u*(u/((u*u**(-6))/u)*u)/u)/u)/u)/u)/u*u**(-2/115)/u*(u**(5/3)/u)**(8/7) assuming u is positive. u**(11458/2415) Simplify (a**18)**(39/5)*(a**(-3/34)/a)/a*a*(a*a**(15/7))/a assuming a is positive. a**(168331/1190) Simplify (k**(2/3))**27*k**10*k*k/k**(-8) assuming k is positive. k**38 Simplify ((b**(1/4)*b*b)/b*b**(-24))/((b**(5/12)*b*b)/b)**1 assuming b is positive. b**(-145/6) Simplify (q/(q*q*q/(q/q**(1/11)))*(q**7*q)/q)/(q**(2/9)*q)**(-4/13) assuming q is positive. q**(8089/1287) Simplify ((s*s**4)/(s**(-2/5)*s))/(s**(-9))**(16/7) assuming s is positive. s**(874/35) Simplify (r**(-13)*r/(r/(r*r/r**(-16)*r)))/(r**(2/15)/(r/(r**(-12)/r))) assuming r is positive. r**(298/15) Simplify ((j/(j/j**(-3/16))*j**(6/19))**(-17))**(-3/4) assuming j is positive. j**(1989/1216) Simplify (f/f**(14/5))/(f*(f/f**(-10))/f)*f**(9/4)*f**11 assuming f is positive. f**(9/20) Simplify (t**(-1/6)/t)**46*(t*t**10*t)/(t/(t**9*t)) assuming t is positive. t**(-98/3) Simplify (s**(-3))**(1/15)*((s/(s**7*s)*s)/s)/(s/s**(1/3)*s) assuming s is positive. s**(-133/15) Simplify (f*(f**(2/19)*f*f)/f*f)/f*f**(-3)*f**(-2/17)/(f/(f*f/(f/f**(-2/11)))*f) assuming f is positive. f**(-7796/3553) Simplify (s*s**(-5/9)/s*((s/s**(-19)*s)/s)/s)/(s**(4/23)/s*s*s*s*s**(-2/5)*s*s) assuming s is positive. s**(15184/1035) Simplify ((c/((c/(c**(-17)/c))/c))**(-37/5))**(-7) assuming c is positive. c**(-4403/5) Simplify (t*t**(-11/2))**(1/75)/(t**25*(t/(t*t**(-2/35)))/t) assuming t is positive. t**(-8441/350) Simplify (z**(-2/7)*z*z**(13/5))/(((z**(-1/3)*z)/z)/(z*(z/z**(1/12)*z)/z)) assuming z is positive. z**(779/140) Simplify (z**(-2/21)/z**(-1/49))**(-27) assuming z is positive. z**(99/49) Simplify ((i**(-1/7))**(1/76))**(3/17) assuming i is positive. i**(-3/9044) Simplify (t*t/(t*((t**(-6/7)*t)/t)/t)*t**(-9/2))/((t/t**21)/t**24) assuming t is positive. t**(593/14) Simplify (l/(l*l**(1/5)*l*l))/(l/((l*l**(-5/7)/l*l)/l))*(l**(-1/5)*l)/(l*l**(1/4)) assuming l is positive. l**(-611/140) Simplify (b**(-2/5)*b*b/(b*b/(b*b*b**(-1/11)*b))*b)/(b**1*b*b**(-12)) assuming b is positive. b**(743/55) Simplify (c**(-1/5))**(-1/3)*((c/c**(17/2))/c)/c**(6/19) assuming c is positive. c**(-4987/570) Simplify (u**18*(u*u/u**20)/u)**(-2/21) assuming u is positive. u**(2/21) Simplify ((g**(-8)*g**(-1))/(g**(-6)*g/g**(-5/3)))**(3/29) assuming g is positive. g**(-17/29) Simplify ((z/(z*z*z/z**(-9/2)))/z*z*z/(z/z**(-11))*z)/(z*z**12/z)**(-1/29) assuming z is positive. z**(-933/58) Simplify ((r*r**(-1))/r*r*r)**(-5/4)/((r**(4/11)/r)/(r**(-21)*r)) assuming r is positive. r**(-907/44) Simplify ((c/(c**26*c))/((c/(c**(-1/2)/c*c*c*c)*c)/c))/(c**(-13/4)*(c**(-26)*c)/c) assuming c is positive. c**(15/4) Simplify ((j/(j**5/j)*j**(-5)*j*j*j)/(j**(-1)/j*((j/j**(-1/3)*j)/j)/j))**(-1/33) assuming j is positive. j**(10/99) Simplify l/l**(-7)*l**(-22)*(l/(l**(-4)*l*l*l))/l**16 assuming l is positive. l**(-28) Simplify (b**(-4/21)/(b*(b/(b/b**(-5/2))*b)/b*b))/(b**(-3)*(b*b**(-24/5))/b) assuming b
{ "pile_set_name": "DM Mathematics" }
q? 1 Let g = -26 + 30. Suppose -y + 20 = -u - 73, -u + 347 = g*y. What is the tens digit of y? 8 Suppose -6288 - 3232 = -14*p. What is the tens digit of p? 8 Suppose 3*i = 3*s + 219, -i - i - 3*s = -171. Suppose -56 = -3*a - 5*c + 9, i = 4*a - 2*c. Suppose 0 = -w + 3*w - a. What is the units digit of w? 0 Let u(z) = 24*z + 16. Let d = -35 - -39. What is the hundreds digit of u(d)? 1 Suppose -20 = 5*o - 5. Let w(i) = -8*i + 14. What is the units digit of w(o)? 8 Suppose -4*o = -12 - 4. Suppose -10*x + 5*x = -3*m - 42, o*m + 14 = 2*x. Suppose -21 + x = -z. What is the tens digit of z? 1 Let g(d) = 4*d**2 - 6*d - 8. Let j be g(4). Suppose 0 = 5*q - 3*q - j. What is the tens digit of q? 1 Let a be ((-3)/(-2))/((-21)/(-28)). Let d = -72 + 156. Suppose -a*m + 3*z + d = m, 0 = -4*z + 4. What is the tens digit of m? 2 Suppose 13752 = 28*o - 20*o. What is the units digit of o? 9 Let r be (104/(-3))/(-8)*(2 + -38). Let g = -42 - r. What is the tens digit of g? 1 Let z(x) = x**2 + 6*x + 5. Let f be z(-4). What is the units digit of (-4)/2 + (-198)/f? 4 Suppose -1143 = -4*t - a, 2*a = -3*t - a + 864. What is the tens digit of t? 8 Let o = -530 - 8. What is the tens digit of (1 + o)*(8 - 150/18)? 7 Suppose -1 = j + 1, -4*j = 2*q - 22. Let y = 9 + -21. Let f = q - y. What is the units digit of f? 7 Let p(k) = 30*k**3 - 4*k**2 + 3. Let o(s) = 31*s**3 - 3*s**2 + 2. Let w(i) = -3*o(i) + 2*p(i). What is the tens digit of w(-1)? 3 Let w be ((-6)/6 - 27)*12/(-14). Suppose w*u - 27*u + 51 = 0. What is the tens digit of u? 1 Let r = -180 - -442. What is the tens digit of r? 6 Let c be ((-9)/(-18))/((-1)/(-142)). Let x = 17 - c. Let n = -25 - x. What is the units digit of n? 9 What is the units digit of -5 - (-2030)/8 - 3/4? 8 Suppose 10*l = 1343 + 997. What is the tens digit of l? 3 Let m(i) be the first derivative of 11*i**3/3 + 5*i**2/2 + 2*i - 8. What is the tens digit of m(-3)? 8 Let n(m) = -22*m + 267. Let o be n(12). Suppose -3*k + 7 = -2*l + 3*l, -5*k - 5*l = -5. What is the units digit of (-263 + o)/(-5) + k? 5 Let f be (-5551)/(-35) + (-4)/(-10). Suppose 2*p + f = 5*p. What is the units digit of p? 3 Let w(n) = -n**2 + 3. Let d be (-66)/21 - (-4)/28. Let q be w(d). What is the tens digit of q/(-27)*12*9? 2 Suppose -8*f + 9*f - 465 = 3*b, f + 2*b = 485. What is the tens digit of f? 7 Suppose 4*t - 32 = -400. What is the hundreds digit of t/(-1 + -1)*(36 + -30)? 2 What is the units digit of 3/5 + (-3048)/(-20)? 3 Let o(n) = n**3 + 8*n**2 + 7*n - 4. Let u be o(-6). Let t = -83 + u. Let k = -31 - t. What is the units digit of k? 6 Suppose -3*r = -o - 0*o + 87, -3*r + 3*o - 93 = 0. Let z = r + 61. What is the tens digit of z? 3 Let r(z) = -2*z + 28. Let d be r(0). Let y be (-24)/(-14) + 8/d. Suppose -y*t + 4*t - 38 = 0. What is the units digit of t? 9 Let a be (-6)/14 + 9/21. Suppose 4*m = -2*p + 98, a*m - 4*m + 208 = 4*p. What is the tens digit of p*(0/(-3) - -1)? 5 Let y = -559 + 671. What is the tens digit of y? 1 Let v be 0*3/(-6)*1. What is the units digit of 63 - (3 + 1 - v)? 9 Let o be 1/((-4)/(-748)) + -2. Suppose o = 48*r - 43*r. What is the units digit of r? 7 Suppose 2*b + 5 = -3*p, p + 0 = -4*b - 5. What is the tens digit of (-1)/(885/(-1750) + p/(-2))? 7 Let z = 1906 - 229. What is the hundreds digit of z? 6 Let q(x) be the third derivative of x**5/60 + 23*x**3/3 + 10*x**2. What is the tens digit of q(0)? 4 Suppose 0 = -5*u + 3*a + 434, 3*u - a + 90 = 4*u. What is the units digit of 1/2*u + 2? 6 Let b = 6 + -7. Let x be (1 - (1 - -5))*b. Let a = 22 + x. What is the units digit of a? 7 What is the thousands digit of (9*1)/((154/(-7294))/(-11))? 4 Let l be 68/8 + 2/4. Let i(z) = -z - 5. Let x be i(l). Let o = x + 33. What is the units digit of o? 9 Suppose 3*t - 56 = 5*u - 0*u, 5*t = 3*u + 88. Suppose -w + t + 164 = 0. What is the units digit of w? 1 Let h be (9/(-6))/(6/32). Let j be 1/(2/h) - -3. What is the units digit of 5 + -2 + j + 3? 5 Suppose 3*j + 30 = 3*g, 3*j = 5*g - 38 - 8. Suppose -5*h + 282 = c, -4*h + 214 = 3*c - g*c. What is the units digit of h? 6 Let f(s) = -107*s + 1. Let h(w) = -108*w. Let q(y) = 5*f(y) - 4*h(y). Let a be q(3). What is the tens digit of a/(-22) + 2/11? 1 Suppose 3*p - 1 = -4, 4*p - 32 = -a. Let x = -68 + a. What is the units digit of (-6)/(-8) + (-648)/x? 1 What is the tens digit of ((-2)/(-8)*2)/(1/44)? 2 What is the tens digit of ((-32)/(-6))/((28/516)/7)? 8 Let k = -13 + 15. Suppose -3*d - 51 = -5*t, t - k*d + 4*d = 5. Suppose t = 5*i - 86. What is the tens digit of i? 1 Let g be 7/(4/(-3) - -1). Let l = 25 + g. Suppose 2*v - 5*f + 1 = -2*f, -12 = -l*f. What is the units digit of v? 4 Let r be 2502/(-7) - (-4 - (-32)/7). Let z = r - -513. What is the hundreds digit of z? 1 Let h = 12 - 24. Let s = h - -12. What is the tens digit of s - 0 - (-20)/1? 2 Suppose 5*i - f = 1633, -9 = -4*f - 1. What is the hundreds digit of i? 3 Let q(w) = w**2 + 7*w - 18. Let s be q(-9). Suppose -r - 21 + 71 = s. What is the units digit of r? 0 What is the hundreds digit of (4432/12)/((30/(-9))/(-5))? 5 Suppose -6*q = -10*q + 8. Suppose -5*z = 4*r - 863, -q*z - 27 + 363 = -3*r. What is the units digit of z? 1 Suppose -6*o = -o - 10. Suppose -o*v = -3*v - 139. Let i = -82 - v. What is the tens digit of i? 5 Let x(i) = -14*i + 3. Let w be x(-3). Let j be w/1 + -1*2. Let h = j + -2. What is the units digit of h? 1 Suppose -6*u = -u - 15. Let j = u - -21. What is the tens digit of j? 2 Suppose 8*w + 7*w = 645. Suppose -2*y - 4 - 4 = x, 3*x = -2*y - 36. Let z = x + w. What is the tens digit of z? 2 Suppose -g = 6 - 2, -2*a = g. Suppose a*r - 2169 = -7*r. What is the units digit of r? 1 Suppose -p - 5 = -7. Suppose 0 = -p*k + 48 + 8. Suppose -z + 3*x = -26, 4*x = 3*z - 35 - k. What is the units digit of z? 7 Let j be (-146)/9 + 16/72. Let n = j + 20. Suppose 3*z - w = 123, 8*w - n*w = 4*z - 164. What is the units digit of z? 1 What is the units digit of 38/266 + 21810/14? 8 Suppose 2625 = 14*a - 9*a. What is the hundreds digit of a? 5 Let j be ((-66)/(-8))/(3/8). Let v = j - 61. Let u = -28 - v. What is the units digit of u? 1 Suppose b + 63 = a + 3*a, 35 = 2*a + 3*b. Let t = -7 + a. What is the units digit of t? 9 Let m(r) = 2*r**3 + r**2 + 3*r - 6. Let x = -17 + 21. Let g be m(x). Suppose -5*a + g = -5*j, -2*a = -4*a - 5*j + 25. What is the units digit of a? 5 Suppose -3*l + 5*v + 26 + 2 = 0, -5*l + 22 = 4*v. Suppose -l*w = -607 - 11. What is the tens digit of w? 0 Suppose -2*o + 5*o + 4*m = -1, -7 = -o - 5*m. What is the tens digit of (o + 89)/2 + 3? 4 Let v(d) be the third derivative of d**5/60 - d**4/6 - d**3 + 6*d**2. What is the tens digit of v(9)? 3 Suppose 0 = -3*l + p + 1129, 8*l - 6*l + 3*p = 749. What is the hundreds digit of l? 3 Let w(d) = -d**2 - 1. Let u(n) = -6*n**2 + n + 4. Let l(x) = -u(x) - 5*w(x). Let c(i) = i - 1. Let j be c(3). What is the tens digit of l(j)? 4 Let b(m) = 357*m - 106. What is the units digit of b(2)? 8 Let u(o) = -3*o**3 + 10*o**2 - 8*o - 14. What is the thousands digit of u(-8)? 2 Let r be 2 + (-3 - (-54 + -3)). Suppose 0 = -5*a + r + 64. What is the units digit of a? 4 Suppose -12 = 3*x + 4*c, 55 = -5*x + 3*c + 2*c. Suppose 0 = -u - 2, -u + 54 = 4*v - 2*u. Let z = v + x. What is the units digit of z? 5 Suppose -6*k - 14 = -38. What is the tens digit of k/((4/1)/(-16)*-1)? 1 Let y = -153 + 588. What is the units digit of y? 5 Suppose a - 3*v - 2398 - 945 = 0, -a = -v - 3353. What is the hundreds digit of a? 3 Let z(w) = -3*w**3 - 6*w**2 - 9*w - 3. Let v(y) = -4*y**3 - 6*y**2 - 10*y - 2. Let r(f) = -2*v(f) + 3*z(f). What is the units digit of r(-5)? 5 Let a(o) = 368*o - 47. What is the thousands digit of a(5)? 1 Let d(r) = -4 + 166*r**2 - 3*r - 163*r**2 - 7*r. What is the tens digit of d(6)? 4 Suppose 342 = c - 3*c. Let j be 12/8 + c/(-6). Suppose 3*b + 3*u - 16 = 2, u = -4*b + j. What is the units digit of b? 8 Let x = 1558 - 1052. What is the units digit of x? 6 Let z(f) = 2*f**2 - 8*f + 29. What is the tens digit of z(-8)? 2 Suppose -25*w = -19*w - 12210. What is the units digit of w? 5 Let q = -799 + 1339. What is the tens digit of q? 4 Let c = -1930 - -3065. What is the thousands digit of c? 1 Let i(f) = -4*f**2 - f - 12. Let d be i(6). Let a = d - -256. What is the tens digit of a? 9 Supp
{ "pile_set_name": "DM Mathematics" }
x(k) = 2*k**2 - k + 1. Let l(z) = 6*m(z) + 78*x(z). Determine l(d(a)). -150*a**2 Let f(c) = -83*c**2 - 1 + 1 + 101*c**2. Suppose -5*h - 39 = -14. Let j(d) = d - 1. Let o(p) = p**2 + 5*p - 5. Let s(w) = h*j(w) + o(w). Calculate s(f(t)). 324*t**4 Let d(u) be the third derivative of -3*u**6/20 - u**4/24 - u**3/6 + 2*u**2. Let f be d(-1). Let a(p) = -3*p**2 + 18 - f. Let s(x) = 3*x. Give a(s(y)). -27*y**2 Let f(x) be the third derivative of x**4/2 - 423*x**2. Let t(k) = -7*k + 4*k + 2*k. Calculate f(t(i)). -12*i Let s(h) = 4*h**2. Let p(i) = -i**2 + 14*i. Let l be p(14). Let a(v) be the second derivative of 0 + 7*v + 1/6*v**3 + l*v**2. Give s(a(u)). 4*u**2 Let i(n) = 580*n**2. Let l(o) = -8*o. What is l(i(s))? -4640*s**2 Let n(m) = 10*m. Let r(j) = 6*j - 8. Let a(p) = -4*p + 5. Let t(z) = 8*a(z) + 5*r(z). What is n(t(x))? -20*x Let m(i) = -6*i**2. Suppose 225 = 4*l + 217. Let b(d) be the third derivative of -12*d**l + 1/24*d**4 + 0*d**3 + 0*d + 0. Calculate b(m(a)). -6*a**2 Let k(a) = -81*a - 2. Let f(z) = 1095*z**2. Calculate k(f(s)). -88695*s**2 - 2 Let v(g) be the second derivative of 5*g**4/4 - 25*g. Let y be 2/(-1)*(2 + -3). Let c(f) = 1 - f**y + 2*f**2 - 1. Give c(v(p)). 225*p**4 Let q(f) = -31*f**2. Let s(h) = 5*h**2 + 2. Let r(t) = 207*t**2 + 81. Let v(j) = 2*r(j) - 81*s(j). Determine v(q(n)). 8649*n**4 Let k(q) = 9*q**2 + 5*q + 5. Let v(c) = -11*c**2 - 6*c - 6. Let h(o) = -6*k(o) - 5*v(o). Let r(d) be the third derivative of d**5/60 + 2*d**2. Give r(h(y)). y**4 Let l(z) = -4*z**2. Let v(c) = -4556*c + 221. Let r(b) = 123*b - 6. Let k(u) = 221*r(u) + 6*v(u). Determine l(k(a)). -93636*a**2 Let t(x) = -5*x**2. Let u(s) = -s**2 - 14*s - 11. What is u(t(b))? -25*b**4 + 70*b**2 - 11 Let u(t) = 2*t. Let f(w) be the third derivative of 0*w**4 + 1/10*w**5 + 0*w + 0 + 0*w**3 - 11*w**2. What is f(u(z))? 24*z**2 Let m(b) = 18*b**2. Let h(j) = -1160*j + 1160*j - 20*j**2. What is m(h(u))? 7200*u**4 Let l(x) be the second derivative of x**4/2 - 43*x. Let d(r) = -21*r. Calculate l(d(a)). 2646*a**2 Let t(o) = 2*o**2 - 2*o**2 - o**2. Suppose 4*w = -3*k + 44, -4*w + 0*w - 4*k = -44. Let a(r) = -8*r - 2*r + r + w*r. What is a(t(s))? -2*s**2 Let o(x) = 20*x. Let d(f) be the first derivative of f**4/6 - 42*f - 40. Let g(c) be the first derivative of d(c). Calculate g(o(q)). 800*q**2 Let f(t) = -t**2. Let a(g) = 13*g**2 - 2109*g - 1. Determine a(f(i)). 13*i**4 + 2109*i**2 - 1 Let i(b) = -963*b**2 + 9*b + 18. Let r(n) = -2*n**2 - n - 2. Let k(u) = -i(u) - 9*r(u). Let f(s) = s**2. Give k(f(x)). 981*x**4 Let y(n) = 785*n. Let o(x) = -2*x**2 + x - 2. Let p(u) = u**2 - u + 2. Let w(a) = o(a) + p(a). What is y(w(j))? -785*j**2 Let s(o) = 9*o - o + o. Let u(l) = -7*l - 6. Let y(t) be the second derivative of -4*t**3/3 - 7*t**2/2 + 14*t. Let x(g) = 7*u(g) - 6*y(g). Give s(x(a)). -9*a Let v(h) = -510*h**2. Let f(a) = 44*a**2. Determine f(v(o)). 11444400*o**4 Let a(k) be the second derivative of -5*k**4/8 + 7*k**2 - 21*k. Let z(p) be the first derivative of a(p). Let x(i) = i. Determine x(z(u)). -15*u Let g(u) = -22*u**2. Let k(d) be the third derivative of -1/24*d**4 - 3*d**2 + 0 + 0*d**3 + 0*d. Let f(b) = -b. Let m(s) = 3*f(s) - 2*k(s). What is m(g(l))? 22*l**2 Let c(r) = -20*r**2. Suppose 0*o = -2*o + 6, 2*d - 3 = 3*o. Let i(l) = -21*l**2 + 14*l**2 + d*l**2. What is i(c(q))? -400*q**4 Let j(o) = o**2 - 128*o - 138. Let b(y) = -y. Determine b(j(n)). -n**2 + 128*n + 138 Let c(h) = -3*h. Let q(t) be the third derivative of -t**6/36 + 10*t**3/3 - 9*t**2. Let i(k) be the first derivative of q(k). Calculate c(i(f)). 30*f**2 Let p(o) = -196*o + 3. Let z be p(-3). Let s(i) = 0*i + 0*i - z*i**2 + 602*i**2. Let t(c) = -c. Give s(t(y)). 11*y**2 Let i(y) = 11*y**2 + 3*y + 7. Let d(p) = -7*p**2 - 2*p - 5. Let c(z) = -7*d(z) - 5*i(z). Let x(w) = -w**2. What is c(x(r))? -6*r**4 + r**2 Let j(k) = 7*k. Let t(h) = 18123*h. Give j(t(d)). 126861*d Let i(t) = 96*t**2. Let q(b) be the first derivative of b**2/2 + 224. Give i(q(x)). 96*x**2 Let p(s) = s**2 - 13*s. Let x(b) = 12*b**2 - 12*b + 12. Let t(f) = f**2 - 3*f + 3. Let w(d) = -4*t(d) + x(d). Calculate w(p(g)). 8*g**4 - 208*g**3 + 1352*g**2 Let d(o) = o. Let y(q) = 3*q. Let h(x) = -2*d(x) + y(x). Let r(n) = 3*n**2 - 263*n - 216*n + 479*n. Give h(r(w)). 3*w**2 Suppose -8*t = -13*t. Suppose 2*l + 2*k + 4 = 0, 0 = l - k - t*k - 2. Let s(z) = 2*z**2 + l*z**2 - 3*z**2 - z**2. Let w(v) = 11*v. Calculate s(w(q)). -242*q**2 Let y(p) = -20*p**2 + 4*p + 14. Let b(x) = 11*x**2 - 2*x - 8. Let a(z) = 7*b(z) + 4*y(z). Let u(l) = -l. Give a(u(h)). -3*h**2 - 2*h Let b(i) = -2*i + 25 - 12 - 13. Let z(v) = 12*v - 6. Calculate z(b(h)). -24*h - 6 Let t(w) = w - 25. Let o(k) = 14*k - 15. Let s(l) = -6*l + 6. Let q(y) = -2*o(y) - 5*s(y). Give t(q(b)). 2*b - 25 Let q(k) = 3*k. Let m(w) = -16*w + 14 - 14. Let b(h) = 2*m(h) + 11*q(h). Let z(s) = 27*s**2. Calculate b(z(x)). 27*x**2 Let t(j) = 1172*j. Let n(m) = -21*m**2. What is t(n(i))? -24612*i**2 Let o(w) = -16*w. Let g(h) be the third derivative of -13*h**5/20 - 750*h**2. What is g(o(z))? -9984*z**2 Suppose 7 = 3*h - 8. Suppose 0*f = 3*d - f - 20, -5*d = -h*f - 50. Let u(m) = -5*m**2 - d*m**2 - 2*m**2. Let j(w) = 2*w**2. What is u(j(p))? -48*p**4 Let c(k) = -4*k**2 + 5*k - 5. Let x(l) = -l**2 + l - 1. Let i(b) = 3*c(b) - 15*x(b). Let o(q) = -124*q. Calculate i(o(m)). 46128*m**2 Let q(s) = 5*s**2 + 2. Let z(v) = 14*v - 224. What is z(q(p))? 70*p**2 - 196 Let d(l) = 6*l. Let t(a) = -7703*a**2. Calculate d(t(j)). -46218*j**2 Let z(t) = 2*t. Suppose 11*p + 52 = 261. Let v(b) = p*b - b - b + 21*b. Give v(z(o)). 76*o Suppose -227 + 732 = 5*p. Let u(c) = -101*c - c**2 + p*c. Let x(y) = 5*y**2 + 9*y**2 - 3*y**2. Calculate x(u(l)). 11*l**4 Let q(a) be the first derivative of 9*a**2/2 - 116. Let x(m) = -6*m. Calculate x(q(o)). -54*o Let b(j) = -5*j. Let f(v) be the second derivative of -5*v**4/6 + 82*v. What is f(b(d))? -250*d**2 Let g(c) = -32987*c. Let n(h) = 3*h. What is n(g(b))? -98961*b Let y be (13 - 10) + ((-3)/3 - -2). Let k(x) be the third derivative of 1/30*x**5 + 8*x**2 + 0*x**y + 0*x**3 + 0 + 0*x. Let u(r) = -5*r. Calculate u(k(d)). -10*d**2 Let j(r) = 7*r. Let h = 1117/12 - 371/4. Let u(q) be the second derivative of 0*q**2 - h*q**3 + 9*q + 0. Determine j(u(y)). -14*y Let y(t) = 6*t**2. Let j(q) = 2*q - 220436. Determine j(y(o)). 12*o**2 - 220436 Let v(i) = i**2. Let a(n) be the second derivative of -n**4/4 + 16*n**2 + n - 24. Calculate v(a(c)). 9*c**4 - 192*c**2 + 1024 Let z(f) = -2*f - 209. Let a(v) = 36*v**2 + 13*v + 2. Calculate a(z(s)). 144*s**2 + 30070*s + 1569801 Let z(q) = 425*q**2 + 3. Let a(y) = 9*y. What is z(a(h))? 34425*h**2 + 3 Let q(w) = -3*w. Let a(k) = -15*k**2 + 5*k + 5. Let x be ((-4)/(-10))/(5*(-4)/(-100)). Let r(j) = -7*j**2 + 2*j + 2. Let y(u) = x*a(u) - 5*r(u). Give q(y(l)). -15*l**2 Let r(u) = -31*u**2 + 19*u**2 + 10*u**2. Let j(g) be the first derivative of -1/3*g**3 + 0*g**2 + 0*g + 3. Calculate j(r(d)). -4*d**4 Let a(u) = 2*u. Let s(f) = 511*f**2 - 21*f - 84. Let i(y) = -51*y**2 + 2*y + 8. Let k(j) = -21*i(j) - 2*s(j). Determine k(a(o)). 196*o**2 Let m be (-416)/234*6/(-16). Let f(g) be the second derivative of 0*g**2 + 4*g - m*g**3 + 0. Let y(v) = 2*v**2. Calculate f(y(q)). -8*q**2 Let y(q) be the second derivative of 3*q**4/2 + 4*q - 3. Let m(r) = -2*r. Give y(m(l)). 72*l**2 Let m(a) be the second derivative of 3*a**3/2 + 277*a. Let t(o) = 4*o + 3*o - o - 3*o. Determine t(m(s)). 27*s Let f(w) = -6*w. Let j(s) = 13907*s**2 + s + 1. What is f(j(x))? -83442*x**2 - 6*x - 6 Let a(b) = 0*b - 5*b + 0*b - 3*b. Let h(n) = -2*n + 26. Calculate h(a(j)). 16*j + 26 Let z(n) be the first derivative of -n**3/3 - 86. Let a(k) = 0*k - 2*k - k. Calculate a(z(d)). 3*d**2 Let x(n) be the second derivative of -n**4/12 - 3*n. Let c(i) = -13*i. Let y(m) = -7*m. Let k(j) = -6*c(j) + 11*y(j). Determine x(k(h)). -h**2 Let k(c) be the second derivative of -4*c**3/3 - 2*c. Let d(v) = -13*v**2 + 5*v + 5. Let j(b) = -15*b**2 + 6*b + 6. Let r(m) = -6*d(m) + 5*j(m). Give k(r(i)). -24*i**2 Let o(b) = b. Let c(p) = -148*p**2 + p - 138. What is o(c(q))? -148*q**2 + q - 138 Let z(t) = 3*t**2. Let g(s) be the first derivative of 3*s**2/2 - 78. Calculate g(z(i)). 9*i**2 Let t(v) = -7*v + 3. Let b(i) = -365
{ "pile_set_name": "DM Mathematics" }
*p = 2*p - 60. Suppose p + 30 = 3*j. What is the remainder when 44 is divided by j? 8 Let a(n) = -n**3 + 4*n**2 + 10*n + 13. Let h be a(-8). Let s = -256 - -461. Suppose 0 = -6*m + s + h. Calculate the remainder when m is divided by 31. 27 Suppose 77 = 2*p - 3*n, -2*n = -4*p - 7 + 141. Let r(j) = 17*j**2 + 14*j - 149. What is the remainder when r(3) is divided by p? 15 Let c(q) = -4*q**3 + 5*q**2 - 3. Let s be c(-4). Suppose -s = 5*h - 1643. Suppose 6*g - 20 = h. Calculate the remainder when g is divided by 10. 7 What is the remainder when 393 is divided by (-4 + -2)*(-11)/(-33) + 141? 115 Let h = 8 - -3. Let y = 0 - h. Let r = y - -26. What is the remainder when 57 is divided by r? 12 Suppose c - 60 = -3*p + 71, -2*p + 84 = 4*c. What is the remainder when 71 is divided by p? 27 Suppose 8*b = -154 + 530. Suppose -b*y = -48*y + 717. What is the remainder when y is divided by 30? 27 Let g(b) = b + 74. Let q be g(-18). Suppose -54*f = -q*f + 36. What is the remainder when 103 is divided by f? 13 Suppose 6*u - 27 = -3*u. Suppose 2*p + u*s = 113, 0 = 5*p + 3*s - s - 255. What is the remainder when p is divided by 5? 4 Let m = 1294 - 2348. Calculate the remainder when ((-15)/(-2))/5*m/(-93) is divided by 14. 3 Suppose 0 = -2*z + 5*z - 39. Suppose 0 = 6*i - 113 - 31. Let s = i + z. Calculate the remainder when 108 is divided by s. 34 Suppose 0 = 2*p + 21 - 29. Suppose -p*k - 3 = -k. Calculate the remainder when ((-1)/2 - k)*(-10 - -74) is divided by 9. 5 Let r be 10*(-9)/(-18) - 660. Let t = r + 719. What is the remainder when t is divided by 17? 13 Let b = 7625 - 7200. Calculate the remainder when b is divided by 146. 133 Suppose 0 = 89*c + 6323 - 7691 - 11448. Let j = 22 + -1. What is the remainder when c is divided by j? 18 Let q = 3170 + -3033. What is the remainder when q is divided by 23? 22 Suppose 156*d = 160*d - 136. What is the remainder when 72 is divided by 506/d - 8/(-68)? 12 Suppose 38*g = 37*g + 117. Suppose 0 = -10*v + v + g. What is the remainder when 1/(-1 - 186/(-183)) is divided by v? 9 Suppose -4*y = 2*i - 68, 26 = -4*y + 5*y + 5*i. Suppose -y*t = 3*t - 152. Calculate the remainder when 11 is divided by t. 3 What is the remainder when 216 is divided by ((-68)/(-6) + (0 - 0))*3? 12 Let s(h) = 1812*h + 11596. Let t(n) = -n**2 - 12*n - 3. What is the remainder when s(-6) is divided by t(-6)? 31 Let q = -547 - -697. Suppose 5*o - q = 75. What is the remainder when o is divided by 15? 0 Let c = -122 - -176. Calculate the remainder when 10/(-65) - (-4023)/39 is divided by 11/(-22) + c/4. 12 Let w(y) = 17*y**2 + 23*y - 36. Calculate the remainder when w(-14) is divided by 594. 4 Let a = -105 - -107. Let d be (60/6)/(a - (-1)/(-1)). Suppose -4*t - 84 = -2*x, 9*t - d*t = -3*x + 116. What is the remainder when 71 is divided by x? 33 Suppose -3*w + y + 103 = -65, 168 = 3*w + 2*y. Let u = w + -20. Let o = 3 - -7. What is the remainder when u is divided by o? 6 Let d(n) = -42*n**3 - 2*n - 1. Suppose 2*m - 12 = -4*r, -5*r + 15 = 2*m + m. Suppose 4*t - 39 = -r. Calculate the remainder when d(-1) is divided by t. 7 Suppose 788 - 746 = 7*b. Let l be (0 + 0 - 17) + -1. Let y = b - l. Calculate the remainder when y is divided by 7. 3 Suppose 3*g - 4*j - 20 = 202, 3*j + 74 = g. Calculate the remainder when 218 is divided by g. 70 Suppose 262 = 2*g + 5*v - 155, 0 = -4*v - 12. Let i = -133 + g. What is the remainder when i is divided by 44? 39 Let q = 33900 - 33194. What is the remainder when q is divided by 34? 26 Let t(z) = z - 39. Let d be t(7). What is the remainder when 111 is divided by 32/1*(-16)/d? 15 Suppose 10*g + 1908 = 16*g. Let u be 4/10 - g/(-5). Suppose 141*b - u = 137*b. Calculate the remainder when 125 is divided by b. 13 What is the remainder when 22821/(3/(-9)*(-19 - -16)) is divided by 24? 21 Suppose -55*h + 13908 - 8298 = 0. Calculate the remainder when 348 is divided by h. 42 Let o = 3575 - 3569. What is the remainder when 8 is divided by o? 2 Let o be 2 + (-6)/(-3) + 6. Suppose 5*k = o*k - 135. Let j = -9 + 81. What is the remainder when j is divided by k? 18 Let n = 10155 + -5455. Calculate the remainder when (-1)/(-3)*-1 - n/(-150) is divided by 13. 5 Let j be (-4)/14 + ((-5316)/(-14))/6. Let f = j + -40. Suppose -4*h - f = -67. Calculate the remainder when 65 is divided by h. 10 Suppose 93*a - 89*a = -2128. Calculate the remainder when 74 is divided by ((-6)/4)/(-6 + (-3171)/a). 36 Suppose -2*y = -25 + 5. Let b be -7*6*(-80)/28. Suppose b = 4*a + j, -161 = 7*a - 12*a - 4*j. Calculate the remainder when a is divided by y. 9 Let z(g) = 328*g - 1282. What is the remainder when 8488 is divided by z(4)? 28 Let j(a) = 2*a**2 + 5*a - 21. Let g be j(-6). Suppose -23*o = g*o - 748. What is the remainder when 183 is divided by o? 13 What is the remainder when ((-493)/(-116))/(573/(-144) + 4) is divided by 41? 40 Let u = -99710 + 99761. Let o(d) = -2*d + 1. What is the remainder when u is divided by o(-5)? 7 Let f be (-20)/(-2)*5/2. Let z = 38 - f. What is the remainder when z is divided by 3*3*(-1)/(-3)? 1 Suppose o - 5*c - 3 = 0, -5*c - 59 = o - 4*o. Let n = o - 25. Calculate the remainder when 66 is divided by n. 0 Let f(m) = 4*m**2 - m - 16. Let d be f(-2). Let r = -93 + 271. What is the remainder when r is divided by -3 - d/((-4)/46)? 18 What is the remainder when (-2 - -6)*-1 - (-536)/4 is divided by 35? 25 What is the remainder when 1117 is divided by (-10)/(-40) - 21/(-12) - -14? 13 Suppose -u + 26 = 5*k - 27, -4*k + 52 = u. Calculate the remainder when ((-10)/4)/(146/(-9636)) is divided by u. 21 Suppose 81 = 11*y - 161. Let b = 55 - y. Let o = b - 26. What is the remainder when 41 is divided by o? 6 Suppose -4*h - 5*l = -669, 50*h - 51*h + 5*l = -211. What is the remainder when 428 is divided by h? 76 Suppose 0 = 15*n - 895 - 1220. Suppose 0 = -p - 8 + 4, 4*p = 4*t - 68. Calculate the remainder when n is divided by t. 11 Let j(o) = 12*o**2 + 25*o + 7. Suppose 3*b - 4*s = -32, 2*s + 3*s = -2*b + 17. Calculate the remainder when j(b) is divided by 40. 19 Let f be (-1 + -1 + 1)*59. Let j(d) = -d**3 - 29*d**2 - 16*d - 332. Let h be j(-29). Let a = h + f. Calculate the remainder when a is divided by 15. 13 Let u = -37 - -65. Let p be (-8)/(-10)*70/u. Suppose p*y + 111 = 5*y. What is the remainder when y is divided by 13? 11 Suppose -2*z = -4, -137*i + 133*i + 3*z + 2190 = 0. What is the remainder when i is divided by 270? 9 Suppose 2*m + 3*b - 83 = 0, 75*m - 96 = 72*m + 5*b. Calculate the remainder when 276 is divided by m. 17 Let v(d) = d**2 + 143*d - 3763. What is the remainder when 505 is divided by v(-166)? 10 Suppose -314*b + 14268 = -227*b. What is the remainder when b is divided by 72? 20 Let g = 48 - 34. Let y(n) = -3*n**2 + 15*n - 33. Let p(d) = -7*d**2 + 29*d - 65. Let v(f) = 2*p(f) - 5*y(f). Calculate the remainder when v(18) is divided by g. 11 Let n = 38 - -37. Let h be (-2)/5 + 480/n. Calculate the remainder when 2*2/(-12) + 284/h is divided by 25. 22 Suppose 964*m = 801*m + 128281. Calculate the remainder when m is divided by 86. 13 Let m(v) = 8 - 2 + 11*v + v**2 - 2. Let d be m(-10). What is the remainder when 26 is divided by d/(-5)*70/6? 12 Suppose -3*j - 12 - 3 = 0, 0 = 4*p - 5*j - 3341. Calculate the remainder when p is divided by 44. 37 Suppose -64 = -11*o - 9. Suppose -o*j + 22 = -4*j. Suppose 23*m - j*m = 17. What is the remainder when m is divided by 13? 4 Let a(s) = -15*s + 23. Let p be a(-8). Let l = p - 137. What is the remainder when l is divided by 1? 0 Let f be ((-1120)/(-21))/(-8)*-15. Suppose 0 = 5*w + 3*i - f, 110 = 84*w - 79*w + i. Calculate the remainder when 153 is divided by w. 15 Let d = 3288 + -2967. Calculate the remainder when d is divided by 46. 45 Let b = 1235 - -19096. What is the remainder when b is divided by 299? 298 Let k(m) = -m**3 - 46*m**2 - 90*m - 77. What is the remainder when 140 is divided by k(-44)? 8 Let t = 121 - 117. Suppose t*y = 21*y - 255. What is the remainder when 27 is divided by y? 12 Suppose 122*v + 18*v = 34*v + 111618. Calculate the remainder when v is divided by 134. 115 Let n be -3 + 6/10*(16 - 6). Suppose 2*q = u + 211, 3*q - 7*u - 324 = -n*u. Let g = q + -73. What is the remainder when g is divided by 12? 7 Suppose -2*l + 1060 = -4*k, 5*k + 846 + 1271 = 4*
{ "pile_set_name": "DM Mathematics" }
3/3 + 2338*l. Let u(d) = -d**2 + d. Let y(q) = q. Let f(z) = -u(z) + y(z). Give p(f(j)). 40*j**2 Let l(h) = 83*h. Let g(f) be the third derivative of 13*f**5/10 - 201*f**2 + 22*f. Calculate l(g(q)). 6474*q**2 Let b(y) = -16*y. Let k(t) be the first derivative of t**5/120 + 39*t**3 - 164. Let p(w) be the third derivative of k(w). Calculate p(b(r)). -16*r Let t(h) be the third derivative of h**5/60 - 28*h**2. Suppose f = 4*p - 3*p - 3, 0 = 2*p - 5*f. Let k(d) = 83 - 83 + p*d. Determine k(t(i)). 5*i**2 Let g(f) = -15*f - 3. Let z(b) = 62*b + 12. Let u(l) = -4*g(l) - z(l). Let v(q) = 2666*q**2. Determine u(v(c)). -5332*c**2 Let v(w) be the second derivative of w**6/720 - w**4/12 - 7*w**3/6 + 23*w - 1. Let u(b) be the third derivative of v(b). Let l(n) = 54*n**2. Give l(u(h)). 54*h**2 Let g(y) = -7*y**2. Let l(m) = 12*m**2 - 26*m. Let u(r) = -6*r**2 + 14*r. Let p(v) = -6*l(v) - 11*u(v). Calculate g(p(h)). -252*h**4 + 168*h**3 - 28*h**2 Let t(n) = -n**2. Let g(o) = -264*o**2 - 2*o + 88*o**2 + 3*o. Give g(t(y)). -176*y**4 - y**2 Let x(f) = -337*f. Let a(w) = 413952 - 3*w - 413952. Calculate x(a(j)). 1011*j Let z(w) = -3*w. Let n(t) be the second derivative of -389*t**4/12 - 119*t. What is n(z(h))? -3501*h**2 Let v(n) = -3449662*n. Let i(b) = -9*b**2. Calculate v(i(w)). 31046958*w**2 Let a(q) be the second derivative of 177*q - 140*q - 3*q**4 + 2*q**4. Let h(y) = -10*y**2. Calculate a(h(f)). -1200*f**4 Let q(c) = -5*c. Let r(p) = -269*p**2 + 752*p. What is r(q(o))? -6725*o**2 - 3760*o Let t(m) = -2*m**2 + m**2 - m**2. Let u(r) = -41*r - 5. Let g(w) = -348*w - 42. Suppose -19 - 11 = -6*s. Let o(n) = s*g(n) - 42*u(n). Calculate t(o(i)). -648*i**2 Let z(y) = 587*y. Let g(x) = -3*x**2 + x - 899. Determine z(g(w)). -1761*w**2 + 587*w - 527713 Let g(z) = -3*z**2. Let t(p) = -p**2 + 4*p + 61. Let s be t(8). Let f(h) = 107*h + 50*h - s*h. Calculate g(f(j)). -49152*j**2 Let w(d) = 23*d - 18. Let q(f) = 4*f - 3. Let o(t) = 6*q(t) - w(t). Let i(y) = -1710*y. Calculate i(o(c)). -1710*c Suppose 1 = q - 1. Let p(y) = y**2 + 6*y**q + 5*y**2 - 13*y**2. Let a(i) be the second derivative of 4*i**3/3 - 64*i - 1. Calculate p(a(m)). -64*m**2 Let k(n) = -3*n**2. Let p(g) = -264503232*g**2. Calculate p(k(j)). -2380529088*j**4 Let i(a) = 53*a**2 + 59*a**2 - 262*a**2 + 140*a**2. Let n be 5 + -3 + 0 + 50. Let o(z) = n*z - 3*z**2 + 2*z**2 - 52*z. What is o(i(b))? -100*b**4 Let w(p) = -12 - 33 + 44*p + 77 - 32. Let u(y) = y**2 + 27*y. Calculate w(u(n)). 44*n**2 + 1188*n Let i(j) = -10*j. Let k(a) be the second derivative of 635*a**4/12 + 7515*a. Calculate i(k(o)). -6350*o**2 Let a(n) be the second derivative of 5*n**3/3 + 83*n - 5. Let m(l) = -665*l. Calculate m(a(k)). -6650*k Let x(j) = -3098151*j**2 - 5. Let b(r) = 5*r**2. Determine x(b(d)). -77453775*d**4 - 5 Let u(t) = 15*t + 33. Let a(l) = l + 2. Let z(g) = 33*a(g) - 2*u(g). Let b(s) = s + 71. Let p(d) = d - 39. Let h(k) = -6*b(k) - 11*p(k). What is h(z(x))? -51*x + 3 Let k(c) = c**2 + 2*c + 1357. Let z(g) = -g + 4064. Determine k(z(f)). f**2 - 8130*f + 16525581 Let x(c) be the second derivative of -c**3 - 1005*c + 1. Let p(t) = -442*t**2. Give p(x(j)). -15912*j**2 Let u(o) be the second derivative of 7*o**4/12 - 4*o - 76. Let h = 4 - 1. Let t(y) = 2*y**2 - 4*y**2 + h*y**2. What is t(u(w))? 49*w**4 Let x(s) be the third derivative of 58*s**2 + 13/4*s**4 + 0*s + 0 + 0*s**3. Let c(f) = 2*f. Determine x(c(k)). 156*k Let j(k) = -k - 21990 - 21989 + 43979. Let r(m) = 524*m. What is j(r(z))? -524*z Let w(p) = -73*p. Let m(c) = -5*c**2 + 4*c - 8. Let l(i) = -i**2 - 2. Let q(b) = -4*l(b) + m(b). Let h(s) = -s. Let y(j) = 4*h(j) + q(j). Give y(w(k)). -5329*k**2 Let m(z) = -17*z**2. Let l(h) = 67*h**2 + 5 - 6*h - 75*h**2 + 0*h + 6*h. Determine m(l(i)). -1088*i**4 + 1360*i**2 - 425 Let r(m) = m. Let w(p) = 7687*p**2 + 6*p + 254. Calculate w(r(f)). 7687*f**2 + 6*f + 254 Let y(g) be the second derivative of -7*g**3/3 + 6*g**2 + 5*g - 24. Let a(c) = 5 - 4 + 0. Let f(v) = 12*a(v) - y(v). Let r(j) = 2*j. Calculate r(f(t)). 28*t Let z(r) = 5*r + 12. Let o(m) = -14*m - 32. Let i(q) = 3*o(q) + 8*z(q). Let j(b) be the first derivative of -b**2 - 3*b + 4. Calculate i(j(p)). 4*p + 6 Let i(c) = -67626*c + 109. Let x(a) = a. Give x(i(f)). -67626*f + 109 Let d(t) = -6*t**2 + 95*t. Let u(f) = -18570*f. Determine u(d(v)). 111420*v**2 - 1764150*v Let x(u) = 10*u**2. Let k(v) be the third derivative of -v**4/3 - v**3/6 + 1321*v**2. What is k(x(y))? -80*y**2 - 1 Let h(l) = 378*l + 293. Let z(s) = -1134*s - 975. Let m(d) = -10*h(d) - 3*z(d). Let p(x) = -3*x**2. Calculate m(p(f)). 1134*f**2 - 5 Let f(t) = 1508*t + 30. Let m(x) = 204*x - 1. What is f(m(l))? 307632*l - 1478 Let l(b) = 20*b. Let h(z) = -230507*z. What is l(h(j))? -4610140*j Let u(t) = -438*t**2. Let i(c) = -129*c + 1. Let v(s) = -260*s + 2. Let o(p) = -2*i(p) + v(p). Give u(o(d)). -1752*d**2 Let y(w) be the second derivative of -w**7/2520 + 13*w**6/240 + 20*w**4/3 + 29*w. Let z(u) be the third derivative of y(u). Let l(c) = 2*c. Give l(z(m)). -2*m**2 + 78*m Let b(q) = 32*q**2 - 72*q - 72. Let y(s) = -s**2 + 2*s + 2. Let h(g) = 2*b(g) + 72*y(g). Let l(p) = 190*p. What is l(h(i))? -1520*i**2 Suppose 53*k - 51*k = 12. Let m(l) = 32*l**2 + 32*l + 8. Let t(p) = 11*p**2 + 12*p + 3. Let x(v) = k*m(v) - 16*t(v). Let y(f) = -3*f. Give x(y(n)). 144*n**2 Let j(s) = -s**2. Let o(g) = -3*g + 5. Let r(l) = -2*l - 7. Let q(i) = -4*i - 6. Let b(f) = 4*q(f) - 5*r(f). Let v(w) = 6*b(w) - 13*o(w). Give v(j(c)). -3*c**2 + 1 Let f(d) = -7*d**2. Let a(b) = 31*b + 3. Let m(h) = -94*h - 8. Suppose 15*k + 15 = 20*k. Let r(j) = k*m(j) + 8*a(j). What is f(r(x))? -8092*x**2 Let j(p) = -33*p. Let k(b) = 31*b - 1. Let d(l) = -65960*l + 2134. Let i(u) = -d(u) - 2134*k(u). Calculate i(j(m)). 6402*m Let l(h) = 2*h. Let g(w) = 2625*w**2 + 1194. Calculate g(l(u)). 10500*u**2 + 1194 Let u(d) = 5*d - 12. Let a(l) = 44155*l. What is a(u(y))? 220775*y - 529860 Let h(v) = 36*v - 16. Let q(p) = 43*p - 22. Let b(l) = 6*h(l) - 5*q(l). Let r(s) be the second derivative of s**3/3 - 2*s. Determine r(b(d)). 2*d + 28 Let v(m) = -80*m**2 + 0 + 0 + 2*m**2. Let g(u) = 12*u**2 + 260. Let j(y) = 14*y**2 + 300. Let s(b) = -15*g(b) + 13*j(b). What is s(v(h))? 12168*h**4 Let v(b) = 98*b - 202*b + 101*b. Let q be 3*(7/3 - 3)/(-1). Let s(i) = 11*i**q + i**2 + 3*i - 3*i. Determine v(s(u)). -36*u**2 Let q(c) = 752799838*c. Let x(j) = 2*j**2. Determine q(x(p)). 1505599676*p**2 Let p(g) be the first derivative of 3*g**3 + 1. Let z = 54701 + -37402. Let n(r) = z - r - 17299 + 2*r. Determine n(p(l)). 9*l**2 Let w(s) = 2*s. Suppose 0 = -9*q - 20 + 29. Let l(o) = 4*o. Let j(v) = q*l(v) - w(v). Let u(a) = 46*a**2 + 3*a. Calculate j(u(h)). 92*h**2 + 6*h Let f(i) be the third derivative of -7*i**5/60 + 42*i**2. Let q(r) = -5*r**2 - 2*r + 6. Let m(b) = -b**2 - b + 3. Let j(u) = 2*m(u) - q(u). Give j(f(n)). 147*n**4 Let p(t) = 25*t**2 + 96*t + 6. Let j(a) = -71*a**2 - 272*a - 17. Let y(x) = 6*j(x) + 17*p(x). Let w(g) = 20 - 13 - 2*g**2 + 8 + 10. What is y(w(b))? -4*b**4 + 100*b**2 - 625 Let q(z) = -4*z + 3. Let b(s) be the third derivative of -17*s**4/24 - 766*s**2. What is q(b(g))? 68*g + 3 Let y(n) be the third derivative of 2*n**4 + 2025*n**2. Let m(s) = 21*s**2. Give m(y(l)). 48384*l**2 Let q(j) = 832*j. Let l(t) = -19*t**2 - 129*t. Calculate q(l(p)). -15808*p**2 - 107328*p Let k(m) = -843*m**2. Let f(h) be the third derivative of -h**4/12 + 1006*h**2. Calculate k(f(n)). -3372*n**2 Let i(p) = -49*p. Let c(s) = 291*s - 4. Give i(c(y)). -14259*y + 196 Let q(a) = 2519*a**2. Let h(u) = -6061*u. Give q(h(y)). 92537281199*y**2 Let h(n) = -6 - 2*n + 20 - 5 - 27. Let c(q) = 3*q**2 + 3. Determine h(c(d)). -6*d**2 - 24 Let n(o) = -7*o + 606518. Let v(t) = 7*t. What is v(n(q))? -49*q + 4245626 Let x(j) = j + 2*j + 23200 - 23200. Let v(z) = -3*z + 558. Give v(x(q)). -9*q + 558 Let b(d) = 7*d. Let m(h) = 3*h + 2*h + 56*h - 42*h + 3*h**2 - 5*h. Calculate m(b(p)). 147*p**2 + 98*p Let f(y) = -31*y**2 - 23*y. Let u(q) = -2*q + 33846 - 33846. Determine f(u(s)). -124*s**2 + 46*s Let u(p) = -4*p + 842. Let z(n) = -1014*n**2. Determine u(z(h)). 4056*h**2 + 842 Let p(h) = -627*h - 80*h - 93 + 93 - 622*h. Let v(i) = -i**2. Calculate v(p(y)). -1766241*y**2 Let k(l) = 188093*l
{ "pile_set_name": "DM Mathematics" }
. 1/10 Calculate prob of sequence tzh when three letters picked without replacement from {h: 2, z: 1, t: 1}. 1/12 What is prob of sequence akkh when four letters picked without replacement from khaarsaarharak? 1/1001 Four letters picked without replacement from knccnxxxcknxccxxxxxk. What is prob of sequence xcxn? 3/323 Three letters picked without replacement from {m: 3, n: 2, r: 7}. Give prob of sequence rrr. 7/44 What is prob of sequence geg when three letters picked without replacement from memmmmegmmgmeeomm? 1/510 Calculate prob of sequence bp when two letters picked without replacement from ffppppqpfbpfpqpbqfq. 8/171 Four letters picked without replacement from emssftefsxee. Give prob of sequence efee. 2/495 Calculate prob of sequence nna when three letters picked without replacement from {a: 1, j: 2, p: 4, n: 2}. 1/252 Three letters picked without replacement from {a: 1, j: 7, t: 6, h: 4}. Give prob of sequence hat. 1/204 Calculate prob of sequence dda when three letters picked without replacement from {i: 2, a: 1, d: 3, c: 3, m: 1, w: 1}. 1/165 Two letters picked without replacement from {r: 9}. Give prob of sequence rr. 1 What is prob of sequence ij when two letters picked without replacement from nkjainaiayjkyna? 2/105 Calculate prob of sequence ta when two letters picked without replacement from {a: 1, y: 2, t: 1, v: 1, w: 2, j: 1}. 1/56 Two letters picked without replacement from belubbcuubblbfebue. Give prob of sequence cu. 2/153 Calculate prob of sequence hqh when three letters picked without replacement from qqhqhqq. 1/21 Two letters picked without replacement from xmdbpdbddppmymmdbd. Give prob of sequence pb. 1/34 Calculate prob of sequence mu when two letters picked without replacement from {o: 3, w: 1, x: 1, m: 1, u: 1}. 1/42 What is prob of sequence fu when two letters picked without replacement from {b: 1, u: 5, n: 1, x: 1, i: 4, f: 1}? 5/156 Calculate prob of sequence wfm when three letters picked without replacement from wmfgmmimmmmimwmimm. 11/2448 Calculate prob of sequence upt when three letters picked without replacement from {o: 4, h: 1, u: 7, p: 4, t: 2}. 7/612 Three letters picked without replacement from pdqtj. What is prob of sequence tjp? 1/60 Two letters picked without replacement from {x: 8, b: 5, p: 3}. What is prob of sequence pb? 1/16 What is prob of sequence ann when three letters picked without replacement from nnannna? 4/21 Two letters picked without replacement from ppfpmpfpppppffppfffp. What is prob of sequence pp? 33/95 Two letters picked without replacement from {h: 1, b: 2, e: 2}. Give prob of sequence bh. 1/10 Calculate prob of sequence vvp when three letters picked without replacement from {b: 1, j: 1, p: 5, v: 5}. 5/66 Calculate prob of sequence iwd when three letters picked without replacement from {i: 1, d: 1, u: 1, w: 1, b: 1}. 1/60 What is prob of sequence ir when two letters picked without replacement from jidkkrrf? 1/28 What is prob of sequence hr when two letters picked without replacement from vhhuuuuvvurhrvvrruh? 8/171 What is prob of sequence zzc when three letters picked without replacement from zzczczzz? 5/28 Four letters picked without replacement from bxubxbubuuuuu. What is prob of sequence xbbx? 1/715 Two letters picked without replacement from {d: 13, s: 5}. What is prob of sequence ss? 10/153 Four letters picked without replacement from {w: 1, y: 1, a: 1, p: 1, e: 1}. Give prob of sequence eepw. 0 Calculate prob of sequence lnn when three letters picked without replacement from llllllnnl. 1/36 Two letters picked without replacement from {q: 3, a: 2, f: 3}. Give prob of sequence ff. 3/28 What is prob of sequence zmp when three letters picked without replacement from {z: 1, p: 1, m: 3}? 1/20 What is prob of sequence sxsr when four letters picked without replacement from rrssxgvxm? 1/378 Four letters picked without replacement from jjjgjjg. What is prob of sequence gjgj? 1/21 Three letters picked without replacement from addyvooyyoayoadv. What is prob of sequence yyv? 1/140 What is prob of sequence bl when two letters picked without replacement from lzyylllyzxzjljzzzjb? 5/342 Calculate prob of sequence bz when two letters picked without replacement from {b: 4, z: 2, o: 4, y: 1}. 4/55 Four letters picked without replacement from {l: 2, o: 1, g: 3, i: 13}. What is prob of sequence lolg? 1/15504 Calculate prob of sequence uh when two letters picked without replacement from {u: 2, r: 4, h: 1, v: 2}. 1/36 Four letters picked without replacement from {i: 3, k: 2, l: 4, u: 8}. What is prob of sequence illl? 3/2380 What is prob of sequence td when two letters picked without replacement from {t: 1, i: 1, d: 7}? 7/72 Two letters picked without replacement from whvuiil. Give prob of sequence uw. 1/42 What is prob of sequence qe when two letters picked without replacement from {q: 3, l: 2, e: 2, p: 1, z: 7, o: 3}? 1/51 What is prob of sequence fzz when three letters picked without replacement from zrruruffrbbbrab? 0 Two letters picked without replacement from dpf. What is prob of sequence pd? 1/6 Calculate prob of sequence sh when two letters picked without replacement from pkkkuhyuyspkkyk. 1/210 Three letters picked without replacement from {m: 1, h: 1, b: 1, x: 2, z: 1, y: 1}. Give prob of sequence yxm. 1/105 What is prob of sequence okm when three letters picked without replacement from wpwwommwwkkw? 1/330 Calculate prob of sequence dba when three letters picked without replacement from {d: 1, p: 1, i: 4, b: 5, a: 3}. 5/728 What is prob of sequence opk when three letters picked without replacement from popppko? 4/105 Two letters picked without replacement from {r: 1, y: 1, e: 1, x: 1, i: 2, h: 2}. Give prob of sequence ry. 1/56 Calculate prob of sequence gl when two letters picked without replacement from {n: 1, d: 3, l: 3, g: 1, y: 6}. 3/182 Three letters picked without replacement from vvnvvvnvnvvvvnvvvvvn. What is prob of sequence vvn? 35/228 What is prob of sequence oyeo when four letters picked without replacement from {e: 7, o: 7, y: 4}? 49/3060 Three letters picked without replacement from {v: 7, b: 2, s: 2, g: 4, u: 3}. Give prob of sequence sgb. 1/306 Calculate prob of sequence bld when three letters picked without replacement from rbqrldk. 1/210 Two letters picked without replacement from xuk. Give prob of sequence xu. 1/6 What is prob of sequence vvv when three letters picked without replacement from {a: 3, v: 13}? 143/280 Three letters picked without replacement from kkhhhkhhhkkkkkhk. What is prob of sequence kkh? 3/20 Calculate prob of sequence jrnx when four letters picked without replacement from nxpjjspnppsrppsps. 1/14280 Three letters picked without replacement from qlnvzmq. What is prob of sequence qnv? 1/105 Calculate prob of sequence zjf when three letters picked without replacement from {z: 1, f: 2, t: 5, j: 3, s: 5}. 1/560 What is prob of sequence vrbc when four letters picked without replacement from {p: 4, r: 1, b: 1, v: 1, c: 2}? 1/1512 Two letters picked without replacement from {q: 7, s: 5, z: 8}. Give prob of sequence zq. 14/95 What is prob of sequence gs when two letters picked without replacement from {s: 6, g: 2, t: 3, d: 2, q: 3}? 1/20 Two letters picked without replacement from pcywprppwcppyrpwp. Give prob of sequence wp. 3/34 Three letters picked without replacement from {q: 2, n: 2, m: 4, t: 2, c: 2, j: 3}. What is prob of sequence njm? 4/455 Calculate prob of sequence tchh when four letters picked without replacement from {t: 1, c: 1, h: 3, g: 2, f: 11}. 1/12240 Three letters picked without replacement from {p: 3, d: 7}. What is prob of sequence pdp? 7/120 Two letters picked without replacement from {x: 2, p: 4}. What is prob of sequence xx? 1/15 Four letters picked without replacement from {o: 4, v: 5, f: 7}. Give prob of sequence oovv. 1/182 Calculate prob of sequence ot when two letters picked without replacement from {i: 6, o: 4, t: 2}. 2/33 Three letters picked without replacement from hddhssbdsfbdsdhddf. Give prob of sequence ssf. 1/204 Three letters picked without replacement from {w: 1, a: 1, f: 2, z: 1}. What is prob of sequence ffa? 1/30 Three letters picked without replacement from bbxxxxbbxbuux. Give prob of sequence bbu. 10/429 Calculate pr
{ "pile_set_name": "DM Mathematics" }
*c + 400610*c + 20*c**3. 20*c**3 Collect the terms in -58 - 2*h**3 + 139 - 57 - 24. -2*h**3 Collect the terms in -7*w**3 + 15*w**3 - 12*w**3 - 19*w**3 - 8*w**3. -31*w**3 Collect the terms in 79*z**2 + 94*z**2 - 234*z**2 + 78*z**2. 17*z**2 Collect the terms in -715*i**2 + 391*i**2 + 309*i**2. -15*i**2 Collect the terms in 72511066*b + 2 - 72511068*b - 2. -2*b Collect the terms in -2*l**2 + 11*l**3 + l**3 - 5*l**3 - l - 18*l**2. 7*l**3 - 20*l**2 - l Collect the terms in 2825*t - 3102 + 3102. 2825*t Collect the terms in 472*u**2 - 302*u**2 - 172*u**2. -2*u**2 Collect the terms in -1313*p + 4 - 3 - 5 + 4 + 1315*p. 2*p Collect the terms in 51*y + 85*y**2 - 30*y - 21*y. 85*y**2 Collect the terms in -9059 + 9059 - 9*o + 5*o**3. 5*o**3 - 9*o Collect the terms in 1311*g**2 + 8*g - 1296*g**2 - 8*g. 15*g**2 Collect the terms in 6250*y + 6254*y + 6261*y - 9*y**2 - 18765*y. -9*y**2 Collect the terms in 6*w + 2 + 14*w + 74 + 25*w. 45*w + 76 Collect the terms in -73*g + 1054*g**2 - 63*g + 136*g. 1054*g**2 Collect the terms in -9*d - 6720 + 6720. -9*d Collect the terms in -455 - 31*k + 154 + 150 + 151. -31*k Collect the terms in -56*g**3 + 215*g**3 - 54*g**3 - 39*g**3 - 64*g**3. 2*g**3 Collect the terms in 5 - 260*m - 12 + 262*m + 7. 2*m Collect the terms in -183 - 26*j**3 + 183 + 11*j**3 - 33*j**3. -48*j**3 Collect the terms in 2 - 2*m + 0 - 7532*m**2 + 2*m. -7532*m**2 + 2 Collect the terms in 27*g - 79*g + 20*g + 3*g**2 + 26*g. 3*g**2 - 6*g Collect the terms in 4 + 4809*w + 1 - 1 - 4799*w - 4. 10*w Collect the terms in 281 - 746 + 11*q - 53*q. -42*q - 465 Collect the terms in -549*l**2 - 1 - 1 - 670*l**2 + 199*l**2. -1020*l**2 - 2 Collect the terms in -5 + 114238*z + 5. 114238*z Collect the terms in -396*g - 860*g**2 + 293*g**2 + 286*g**2 + 282*g**2. g**2 - 396*g Collect the terms in 388*x**2 - 336*x**2 - 53*x**2. -x**2 Collect the terms in 33*h**2 + 34*h**3 - 41*h**3 + 25*h**2 - 3 - 58*h**2. -7*h**3 - 3 Collect the terms in -74 + 76 - 5*p + 3*p. -2*p + 2 Collect the terms in -208*f**2 + 106*f**2 + 94*f**2. -8*f**2 Collect the terms in -207*b - 22 + 206*b - 22. -b - 44 Collect the terms in -6*s**3 - 30*s**3 - 29*s**3 - s + 6*s. -65*s**3 + 5*s Collect the terms in 249*u**3 + 14*u**3 + 158*u**3 + 233*u**3 - 104*u**3. 550*u**3 Collect the terms in 1400*c**2 - 2487*c**2 + 3*c + 0*c - 3*c. -1087*c**2 Collect the terms in 36 - 79 + 43 + 1280*v**2 - 1291*v**2. -11*v**2 Collect the terms in 0*d**2 + 3*d - 7407 - 4*d**2 - 3*d + 7407. -4*d**2 Collect the terms in -9*w + 38*w - 19*w - 10*w - 55*w**2. -55*w**2 Collect the terms in -135*a - 138*a - 138*a + 401*a. -10*a Collect the terms in -2658*w**3 + 1339*w**3 + 1315*w**3. -4*w**3 Collect the terms in 10*q + 0 + 8 - 35 - 11*q - 30. -q - 57 Collect the terms in -174*h + 99*h**2 + 172*h - 147*h**2. -48*h**2 - 2*h Collect the terms in 16 + 178*a**2 - 170*a**2 - 16. 8*a**2 Collect the terms in 0 - 458412*i + 0 + 458402*i. -10*i Collect the terms in 36*w**2 - 166*w**2 + 68*w**2 + 59*w**2. -3*w**2 Collect the terms in 66*h**3 + 194*h - 68*h**3 + 6*h**2 - 192*h - 6*h**2. -2*h**3 + 2*h Collect the terms in 15*d + 23408 - 46820 + 0*d + 23412. 15*d Collect the terms in 12762620 - 12762620 - 5*r. -5*r Collect the terms in 17987*v + 2 - 2*v**2 + 6*v**2 - 3*v**2 - 4*v**2. -3*v**2 + 17987*v + 2 Collect the terms in -14*n**3 - 244*n + 56*n + 188*n. -14*n**3 Collect the terms in -93284*h**2 + 26*h**3 + 93284*h**2. 26*h**3 Collect the terms in 112*r**3 + 12*r**3 - 122*r**3 + 2*r. 2*r**3 + 2*r Collect the terms in -592389 + 592389 + 17*a**3. 17*a**3 Collect the terms in -36*p + 158*p + 140*p - 2. 262*p - 2 Collect the terms in 1149*b**2 + 1384*b**2 + 868*b**2. 3401*b**2 Collect the terms in -41 - 82*k + 43*k + 34*k. -5*k - 41 Collect the terms in 830*p**2 + 430*p**2 - 769*p**2. 491*p**2 Collect the terms in 877*b**2 - 3*b + 2*b + 891*b**2 - 1748*b**2. 20*b**2 - b Collect the terms in z + 634 - 30*z**3 - 634. -30*z**3 + z Collect the terms in -6384*p + 6384*p + 399*p**2. 399*p**2 Collect the terms in -7615*o**3 + 6370*o**3 - 14546*o**3. -15791*o**3 Collect the terms in -1 + 0*o**2 + 1 - 3*o**2 - 1. -3*o**2 - 1 Collect the terms in 1500*q**2 - 11330*q**2 + 1454*q**2. -8376*q**2 Collect the terms in -233*t**2 - 80*t**2 - 210*t**2. -523*t**2 Collect the terms in -259607792 + 259607792 + 28*v. 28*v Collect the terms in 834159 - 834159 + 7*h**2. 7*h**2 Collect the terms in -17019 + 17019 - s**2 + 24*s. -s**2 + 24*s Collect the terms in -62*w + 1 + 0 - 106*w + 46*w. -122*w + 1 Collect the terms in -417*q**2 - 273*q - 287*q + 560*q. -417*q**2 Collect the terms in -15*w**3 - 11413*w**2 + 22850*w**2 - 11437*w**2. -15*w**3 Collect the terms in -68*d + 4011*d**3 - 4010*d**3 - 4*d. d**3 - 72*d Collect the terms in -34*a**2 - 11*a**3 + 52*a**2 - 18*a**2. -11*a**3 Collect the terms in 5099643*g - 5099643*g + 5*g**2. 5*g**2 Collect the terms in 146154*o - 146140*o + 4 - 4. 14*o Collect the terms in -g**2 + 4742*g + 1817 - 4743*g - 243. -g**2 - g + 1574 Collect the terms in 387*m - 744*m - 4*m**2 + 357*m. -4*m**2 Collect the terms in -392*s - 387*s - 396*s - 17*s**2 + 1175*s. -17*s**2 Collect the terms in -79*s**2 + 12*s**2 + 16*s**2 + 43*s**2 + 12*s**2. 4*s**2 Collect the terms in -2*j**2 - 51*j - 11*j**3 - 39*j + 90*j. -11*j**3 - 2*j**2 Collect the terms in -270*v**3 + 21*v - 3108*v**3 - 7 - 23*v. -3378*v**3 - 2*v - 7 Collect the terms in -115*p - 5*p**2 + 7*p**3 + p**3 + 5*p**2. 8*p**3 - 115*p Collect the terms in -8 + i**2 + 5178*i + 8. i**2 + 5178*i Collect the terms in -d + d + 306 + 156 - 2*d**2. -2*d**2 + 462 Collect the terms in -10 - 12939*g + 22 - 12. -12939*g Collect the terms in 59099*j**3 + 196385*j**3 + 6537*j**3. 262021*j**3 Collect the terms in 0 + 90*r**3 - 88*r**3 - 3 + 13 - 10. 2*r**3 Collect the terms in -16*t**3 + 402 + t**2 - 402. -16*t**3 + t**2 Collect the terms in -z - 55 + 5*z - 23*z + 8*z + 10*z. -z - 55 Collect the terms in -8 - 463*s - 117*s + 157*s + 8. -423*s Collect the terms in -162 + 329 - 167 - 12441*i. -12441*i Collect the terms in -14*b**3 - 47*b**3 + 10*b**3 + 11*b**3. -40*b**3 Collect the terms in -4918 + 5*l**2 - 4917 - 3*l**2 + 14766 - 4917. 2*l**2 + 14 Collect the terms in -712 + 3*a**2 + 712 - 4*a**2. -a**2 Collect the terms in -27*t + 27*t + 46599*t**2. 46599*t**2 Collect the terms in -38312*c - 38236*c + 76545*c. -3*c Collect the terms in 54 + i**2 + 5 - 2*i**2 + 67. -i**2 + 126 Collect the terms in 727 - 727 - 3*d - 4*d. -7*d Collect the terms in 18009*r**2 - 36047*r**2 + 18174*r**2. 136*r**2 Collect the terms in 19*i**3 - 439695*i**2 + 439695*i**2. 19*i**3 Collect the terms in -2*c**2 - 3153*c**3 + 5855*c**3 + c**2 + c**2 - 2700*c**3. 2*c**3 Collect the terms in -17*k**2 + 9*k**2 + k**2 - 257*k**3 + 7*k**2. -257*k**3 Collect the terms in -873*b**2 + 1778*b**2 + 0 + 0 - 858*b**2. 47*b**2 Collect the terms in 56*x**3 - 7*x**3 + 109*x**3. 158*x**3 Collect the terms in -5 - 1023*t + 5 - 1025*t + 2052*t. 4*t Collect the terms in 7780*q**2 + 7773*q**2 - 20*q**3 - 15555*q**2. -20*q**3 - 2*q**2 Collect the terms in 381*k**2 + 576*k**2 + k**2. 958*k**2 Collect the terms in 24527 + x - 24527 - x - 55*x**3 - 2*x**2. -55*x**3 - 2*x**2 Collect the terms in 122*s**3 + 973*s**3 + 345*s**3 + 1232*s**3. 2672*s**3 Collect the terms in 121*x**3 + 31*x - 701 - 31*x + 701. 121*x**3 Collect the terms in -2 - 119*s**3 + 3*s + 213*s**3 + 2*s. 94*s**3 + 5*s - 2 Collect the terms in -653 - 4*f + 10*f + 647 - 2*f. 4*f - 6 Collect the terms in -45*d - 86*d - 2 + 11*d - 14*d. -134*d - 2 Collect the terms in 69988*u - 34980*u - 35010*u. -2*u Collect the terms in 19277*m**2 - 3*m**3 - 19277*m**2 + 7*m**3 + m**3. 5*m**3 Collect the terms in -2*n**2 + 2*n**2 - 610*n**3 + 584*n**3 - 7. -26*n**3 - 7 Collect the terms in -5*v + 16*v - 4*v - 7*v + 223*v**2. 223*v**2 Collect the terms in -128*h**2 - 121*h**2 + 14*h**2. -235*h**2 Collect the terms in 209*a**2 - 785*a**2 + 389*a**2. -187*a**2 Collect the terms in -1 - 105*f**3 + 2*f**2 - 111*f**3 + 52*f**3. -164*f**3 + 2*f**2 - 1 Collect the terms in -19 + 0*k - 3 - 4*k**2 - 13*k + 22. -4*k**2 - 13*k Collect the terms in -229 + 6*c + 183 - 8*c + 568. -2*c + 522 Collect the terms in -10*l**2 - 14745675 + 14745675. -10*l**2 Collect the terms in 10*a**3 - 8*a**3 + 14*a**3 - 6*a**3 - a**3. 9*a
{ "pile_set_name": "DM Mathematics" }
q, -g = -4*q - 2066. Let s = -1292 + g. Suppose -5*c = 5*h - 3750, 2*h - s = h + 3*c. Is h composite? True Let c(w) = 6144*w - 311. Is c(12) a composite number? False Suppose -117*a = -112*a + 5*o - 1885780, 1131476 = 3*a - o. Is a a prime number? False Suppose 2*u = 5*d - 28 + 16, 2*u = 2*d - 6. Suppose d + 2 = -s, 3*b = -4*s + 36413. Is b composite? False Let o = 422 - 426. Suppose 1 + 2 = w. Is o/8*(w - 287) prime? False Let v(w) = -2*w**3 + 6*w**2 - 4*w - 8. Let r be v(-6). Suppose 0 = 11*c - 19*c + r. Is c a prime number? True Let a(f) be the second derivative of 55*f**4/2 - 19*f**3/3 + 225*f**2/2 + 96*f. Is a(7) a composite number? True Suppose -x - 13 + 75 = -2*q, -q = 4*x - 266. Let s = x + 52. Is s prime? False Let k be (3 + -2)*(-7 - -23). Suppose k*h = 991 + 689. Is -3 + (-80)/(6/h*-1) a prime number? False Is (-4)/(-104)*4 - 27864135/(-507) a composite number? False Let u = 138 - 294. Let s = u + 614. Is (-5)/(5/s)*9/(-6) composite? True Let c = 44 + -38. Let m be c/6 + (91 - -1). Is (m/5)/((-5)/(-25)) a prime number? False Let t = -30 + 119. Suppose -t = -13*d + 184. Let a(y) = 57*y - 46. Is a(d) prime? True Let t = -6264 - -11119. Suppose -3*i - 3*l = -8*i + t, 4*i - 3901 = -l. Is i a prime number? False Suppose 12 = 3*p - 3*y, p - 4*y - 13 = -0*y. Let o(h) = 15028*h**2 + 7*h - 8. Is o(p) prime? False Let t(z) = -34198*z - 1845. Is t(-11) composite? False Suppose 19030 = 275*q - 263*q - 44486. Is q a prime number? False Let l(t) = -t**3 + 25*t**2 - 20*t - 57. Suppose b - 4 = -3*g + 13, 5*g = -3*b + 59. Is l(b) prime? True Is (1*6613)/(1/(13 + -12)) composite? True Suppose 2*r - 3*i - 7652 = 0, 117*r + 5*i = 120*r - 11479. Is r a composite number? False Let i = -1331 - -132. Let r = 2879 + i. Let s = r + -583. Is s a composite number? False Let z = 104950 - 54243. Is z composite? False Let v(o) = 105*o**2 - 2*o + 21. Let g(p) = -105*p**2 + 3*p - 21. Let y be ((-40)/32 + 2)/(1/4). Let k(s) = y*g(s) + 4*v(s). Is k(7) a composite number? True Let h be (-28)/6*15/(-10). Suppose -5*r = -v + 32, 5*r - h + 93 = 3*v. Let f = 40 + v. Is f prime? True Let o(m) = 564*m**3 - m**2 + 34*m - 174. Is o(5) composite? True Let l = -80 + 106. Let m be l + (-10)/(-5) + 2. Suppose 28*y = m*y - 886. Is y prime? True Let r = 100 + -98. Suppose -5*c - 3*i = 75, i + 3*i + 44 = -r*c. Is ((-13448)/c - 3) + 4/(-6) a composite number? False Suppose 15 = 3*w + 2*o - 1, 0 = 5*w - 4*o + 10. Suppose 987 = 44*m + 107*m - 372. Is 0/(w + -1) + (200 - m) composite? False Is (1 - (-6)/(-9)*1)/2*1449834 a prime number? True Suppose 0 = 7*w + 78 - 99. Suppose -w*i - 4*b = -21461, -i + 4*b + 7143 = -0*b. Is i a composite number? False Suppose 0 = -4*x + 35 + 1. Let n be (-222)/x*81/(-6). Suppose h + 44 = n. Is h a prime number? False Let x(a) = 2221*a - 1273. Is x(24) a prime number? False Suppose -v + 3 = 0, g - 2*v + 3 = 1. Suppose 15981 = g*y + 1409. Is y a prime number? True Let t = -932 + 380. Let q = 84 - t. Suppose 3*f - 3*b = q, 2*f + 4*b = 3*f - 215. Is f a composite number? False Let q(i) = -2*i**2 + 10*i. Let z be q(5). Suppose -5*c + 4*y + 2727 + 1044 = 0, z = -c - 5*y + 731. Is c a prime number? True Let s = 59 - 53. Let g(y) = y**3 - 6*y**2 + y - 3. Let k be g(s). Suppose 5*r + 2*f = f + 5691, -r = -k*f - 1151. Is r a prime number? False Suppose 5*r = -20, 11*o - 26464 = 12*o + r. Let a = -17279 - o. Is a a composite number? False Suppose 3*t = 2*b - 3*b - 7, -t - 1 = -b. Let m(u) = -u**3 + u. Let v be m(b). Suppose -3*z + 483 = -v*z. Is z a prime number? False Let v(b) = 7*b**3 - 14*b**2 - 18*b - 8. Let c be ((-12)/306*-17)/((-4)/(-66)). Is v(c) a prime number? True Suppose -40 = -7*x + 23. Let m be -72*41*(-6)/x. Suppose 0*d + 1489 = 3*g + 5*d, 2*d + m = 4*g. Is g composite? True Let c be 10/3*21/35. Suppose -3*h = 2*d - 6283, -c - 4 = -2*h. Is d composite? False Suppose -33*q = -5871 + 1812. Let g be 0 - (-276)/(3/1). Let i = q + g. Is i prime? False Let t(c) = 262*c + 14. Let y(k) = -130*k - 7. Suppose -18*m = -21*m - 18. Let b(g) = m*t(g) - 13*y(g). Is b(9) a prime number? True Let l be (40/(-48) + 1/(-6))*0. Suppose 626 = 2*v + f + f, 4*f + 16 = l. Is v composite? False Suppose 88 = 4*x - 204. Suppose -x*y = -80*y + 54523. Is y prime? True Suppose 0 = h + 2*j + 5, 4*j + 17 = 5*h - 0*h. Let d be -3 - 29 - (2 - h). Is (296/12)/((-2)/d) a prime number? False Let r be (-140)/(-90) + 1/(9/4). Suppose -n + r*h + 13017 = 4*n, 2*n - 5190 = 5*h. Is n a composite number? True Suppose 94 = -2*m - 2*s + 64, -15 = 3*m - 3*s. Is (3 - (-15)/m)/((-1)/(-58)) a prime number? False Let c(y) = 13*y**2 - y + 6. Let x be c(7). Suppose 0 = -48*r + 52*r - 2344. Suppose 0 = 2*o - r - x. Is o prime? False Is (3 - 5 - 1359)/((242/(-5731))/22) a prime number? False Let r(o) = -53877*o - 5. Let t be r(-2). Suppose 6*z + 13*z = t. Is z a composite number? True Suppose -33 = -j - 2*x, 4 = 2*x - 2. Is j/(-36) - (-18359)/4 composite? True Suppose 21 = 3*l + 12, 57 = -2*j + l. Suppose 0 = -4*f - 5*a + 16, 38 - 9 = f - 5*a. Is 211/(-3)*j/f a composite number? False Let q(f) = -4*f + 32. Let m be q(11). Let o be (-24*m/27)/((-2)/(-1986)). Let n = o - 6603. Is n a composite number? False Let c(q) = -1281*q + 416. Is c(-11) a composite number? True Let x = -152 + 145. Let w(o) = -102*o + 41. Is w(x) a prime number? False Is (-82)/1517 + 5*(-2486823)/(-111) a prime number? True Suppose -3*f + 5*u + 163045 = -61653, 4*u = 16. Suppose -21*a = 5*a - f. Is a composite? True Let f = 16 - -3. Suppose 2*g - 18*m = -f*m + 17129, 0 = 2*m - 6. Is g a prime number? True Let g be 15/210 - (-34849356)/56. Suppose 0 = -59*v + g + 49051. Is v prime? False Suppose -44*b - 411120 + 5229428 = 0. Is b a prime number? True Let z(o) = o - 1. Let r(q) = 332*q**2 + 15*q - 2. Let g(u) = r(u) + 3*z(u). Is g(6) a prime number? False Suppose 13*d - 194880 - 618673 = 0. Is d a prime number? True Suppose -5*d - 22 = -47. Suppose d*j + 4*x = 2, 0 = -j - 2*x + 4*x + 6. Is (-1)/1 - (-2100)/(j/1) a prime number? True Let w(j) = 2*j**3 + 132*j**2 + 32*j - 83. Is w(-65) composite? False Let p = -114276 + 707809. Is p a prime number? False Let b(g) = 5*g**2 + 30*g. Let u be b(-6). Suppose u = 7*o - 62 - 1275. Is o a prime number? True Let y(b) = -13*b**3 - 8*b**2 - 6*b - 15. Let i(x) = 14*x**3 + 8*x**2 + 5*x + 15. Let h(f) = 5*i(f) + 4*y(f). Let k be h(6). Is (-6)/9*k*(-1)/2 prime? True Let a = 107 + -116. Is (-18)/a*(-967)/(-2) composite? False Suppose 0 = 3*c - 2*m - 42880, 0*c + 3*c - 4*m - 42890 = 0. Suppose -5*r = i - c, 2*r + 4*i - 5693 = -i. Is 6/9*r - 3 composite? True Let f = 344211 - 97948. Is f a composite number? True Let l = 8302 - 2295. Is l a composite number? False Suppose 4*a + 54463 = 5*u, -9*a + 8*a + 10898 = u. Is u/3*(-6 + (-108)/(-15)) a composite number? True Suppose 2*j = -3*m + 31, 3*m + 3*j - 46 = -2*j. Let t(q) = 81*q**2 - 21*q + 11. Is t(m) a composite number? False Suppose -40*a - 48*a + 21909448 = 0. Is a composite? False Suppose 91*k - 4350508 = -97*k. Is k composite? True Suppose -5*i - 4*v - 2 = 0, -4*i - 2*v + 4*v + 14 = 0. Suppose -8761 = -5*h - w + 2886, -i*h + 2*w + 4654 = 0. Is h prime? False Suppose 32623 = 5*k - 3*v, 32261 = 4*k - 4*v + 6153. Is k a composite number? False Let l(s) = 14*s - 82. Is l(22) prime? False Let n be (4/(-6))/((-5)/(-330)). Let h = -32 - n. Is (-3586)/(-8) + 1 - 3/h prime? True Suppose -2*a = b - 94357, 5*a - 235865 = 6*b - 3*b. Suppose 0 = 49*u - 41*u - a. Is u a composite number? False Let t be -2*-4*(-4)/(-8). Let y(n) = 6038*n + 17. Let z be y(t). Suppose z = 6*s + 6175. Is s a prime number? True Suppose -84*q = -81*q - 54. Suppose q*z = 275812 - 26890. Is z prime? True Let f = -705 - -1404. Suppose -31 + f = 2*m + 2*t, -5*m - 3*t + 1664 = 0. Is m prime? True Is 93646 + 3 + -1 - (50 - 49) prime? False Let t(k) be the first derivative of -k**4/4 + 4*k**3/3 + k**2 - 5*k - 28. Let y be t(3). Suppose 3*g - 8983 = -y*g. Is g a prime number? True Suppose 2 = 3*z - 2*z. Suppose z*p + 2*p = 3*q + 42905, -4*p - q + 42909 = 0. Is p composite? True Suppose -5*z + 28 = -9*z - r, -7 = z - 3*r. Is (z/5 - -1) + (-121821)/(-15) prime? False Let r(x) = -2 + 4 + x + 9 + 1057*x**2 + 94*x**2 + x. Is r(-6) a prime number? False Let p(r) = 162*r**2 - 4*r + 3. Let z be p(1).
{ "pile_set_name": "DM Mathematics" }
+ 14*f + 3 - 4*f + 14*f in the form p + u*f and give p. 3 Rearrange -3*q**3 + 7*q**2 + 0*q**2 + 2*q**2 + q - 8*q**2 to the form v*q**3 + c*q + t*q**2 + w and give c. 1 Express 10*f**4 - 19*f**3 + 19*f**3 + (-7*f + 7*f + 10*f)*(2*f**3 + 2*f**3 - f**3) in the form u + r*f**2 + x*f**4 + c*f + q*f**3 and give x. 40 Express 47 - 7*y**2 - y - 49*y**2 - 47 as j + z*y + i*y**2 and give z. -1 Express (-3*p**2 - 2*p**2 + 3*p**2)*(90 - 90 + 18*p) + 26*p**2 - 26*p**2 + 6*p**3 as w + m*p + d*p**3 + v*p**2 and give d. -30 Rearrange -7*t**2 - 163 - 5*t**3 - 7*t**3 + 46 + 115 to the form b*t + d*t**3 + o*t**2 + k and give d. -12 Express 358 - 176 + 1355*j - 182 as g*j + u and give g. 1355 Express (6 - 2 - 1)*(83*b - 3367 + 3367) as d*b + u and give d. 249 Express 13*f**3 + 4*f**4 - 41*f**3 - 25 + 27*f**3 - 5*f**2 + 3*f**2 + 2*f as j + r*f**3 + c*f**2 + y*f + p*f**4 and give r. -1 Rearrange -1 + 3*z**2 - 9*z + 8*z - 2*z**2 - 2*z - 7*z to the form p*z + r + n*z**2 and give r. -1 Rearrange -4*w**3 + 0*w**3 + 3*w**3 + (-182432 - 140*w**2 + 182432)*(w - 3 + 1 + w) to a*w**2 + t*w**3 + x*w + d and give a. 280 Rearrange 2*l**2 + 140*l**3 - 135*l**3 - 2*l**2 - l - 10 to a*l**2 + u + j*l + f*l**3 and give j. -1 Rearrange 2*i - i + 2*i**3 + 3922 - 3923 + 2*i**4 + 5*i**2 to o + b*i**4 + s*i**3 + q*i**2 + h*i and give s. 2 Rearrange -14*r**2 - 1 - 10*r**2 + 3*r**4 + 3*r + 3 + 25*r**2 + r**4 - 6*r**3 to l + p*r + b*r**4 + v*r**2 + c*r**3 and give p. 3 Rearrange -r - 3*r - 1 + 15 - 76 to k*r + i and give k. -4 Rearrange 20*l**4 - l - 107*l**3 - 49*l**4 + 30*l**4 + l**2 to u + n*l**4 + d*l**2 + y*l**3 + p*l and give p. -1 Express (3*c - c - c)*(3 - 2 + 0)*(196 - 101 + 254) as t + d*c and give d. 349 Rearrange 13 - 2*q**2 + 40*q**3 - 3*q + 15 + 2*q - 37 + 2*q**4 + 8 to the form r*q**3 + v*q + u + z*q**4 + f*q**2 and give f. -2 Rearrange 161*x**2 + 8*x - x - 144*x**2 - 116*x**2 to the form u*x**2 + j + f*x and give u. -99 Express (6 - 3 - 2)*(-372*d + 319*d + 1500*d) in the form a + t*d and give t. 1447 Rearrange 157*a + 14 - 14 - 123*a to the form n*a + b and give n. 34 Express n**2 - 12*n - 7 + 4*n + 5*n in the form a + c*n**2 + j*n and give c. 1 Express 6001 - 6004 + 2*f**3 - f**2 - 13*f**4 + 12*f**4 + 3*f in the form b*f**3 + r*f**2 + c + t*f**4 + s*f and give r. -1 Rearrange (5*q - 2*q - q)*(-15 + 259*q**2 - 136*q**2 - 145*q**2) to g + y*q**3 + k*q + d*q**2 and give k. -30 Rearrange (30*b + 12*b - 27*b)*(-8*b + 17*b - 2*b - b) to t*b + i + w*b**2 and give w. 90 Rearrange z**3 + 35*z + 42*z + 11*z - 63*z - 1 to k*z**2 + i*z**3 + n*z + b and give i. 1 Express ((2*k + 0 + 0)*(-8 + 31 - 19) - k + 2*k + k)*(-2*k**2 + 9*k - 9*k) in the form r*k**3 + x*k + n + m*k**2 and give r. -20 Express 2582*v**2 + 2491*v**2 - 3085*v**2 in the form b*v + w*v**2 + a and give a. 0 Rearrange 2337*a**2 + 0*a - 2335*a**2 - 2*a**3 + 255 + 2*a to k + m*a + r*a**2 + z*a**3 and give m. 2 Express 3*s**2 + 96 + 2*s**2 + 53 - 3*s**2 as v*s**2 + p*s + q and give v. 2 Rearrange -p**3 - 3*p**3 + p**3 + (3 - 3*p - 3)*(-29*p**2 + 6*p**2 - 12*p**2) + p**3 + 9*p - 9*p to r*p**3 + a*p**2 + v*p + o and give r. 103 Express (-6 - 198 + 59)*(5*l - 18*l + 5*l) as p*l + w and give w. 0 Rearrange 41*s**3 - 46 - 14*s**3 - 18*s**3 - 3*s + 49 to the form g*s**2 + l*s**3 + n + r*s and give g. 0 Rearrange 4 - j**3 + 3*j**3 - 14*j + 0*j**3 - 2 + 3*j to the form s + h*j + b*j**2 + u*j**3 and give h. -11 Rearrange (0*c + c + 3*c)*(135*c - 602 + 602) to t + k*c + p*c**2 and give p. 540 Express -3*m - 3*m - 3*m + 3*m + 3*m + 94*m + 108*m - 106*m + (1 - 2*m - 1)*(-5 + 5 - 3) as f*m + q and give f. 99 Express (23 - 5*z + 9*z - 5*z)*(-z**2 + 3*z**2 + 7*z**2) in the form m*z + b*z**2 + h + q*z**3 and give b. 207 Rearrange 0*g - 4*g - 4*g + 2*g - 2*g**2 - 3*g to t + m*g**2 + f*g and give m. -2 Express (-39*a**2 + 32*a**2 - 24*a**2)*(5*a - 5*a - 1 - a) as l*a + v*a**3 + i + z*a**2 and give z. 31 Express -2*x**3 + 3*x**3 + 9 - x**2 + 11 + 3*x - 4 - 2*x as b + h*x**3 + i*x + d*x**2 and give b. 16 Express 56*o + 56*o + 57*o + 2 - 164*o in the form m*o + f and give m. 5 Express b - 4*b**3 - b**2 - 5*b + 2*b - 25*b**2 + 2 + 0*b in the form l*b + m*b**2 + n*b**3 + r and give m. -26 Rearrange (3*c - 2*c + c)*(3057 - 2119 + 3264) to the form m + l*c and give l. 8404 Express 1025*t + 1682*t - 26008 + 26008 as g + q*t and give q. 2707 Express 12 + 10*p**4 - 10*p**4 + p + 10*p**4 - 2*p**2 in the form m*p**3 + v*p**2 + a + o*p**4 + u*p and give u. 1 Express (2*u - 5*u + u)*(24 + 36 - 34)*(-2*u - 1 + 1)*(7 - 6 + 7) in the form k*u + r*u**2 + t and give r. 832 Express -3 + 3 + 2*z**3 + (145*z - 46*z - 78*z)*(-3*z**2 - 5*z**2 + 4*z**2) as p*z + o*z**2 + b*z**3 + d and give b. -82 Rearrange -31*t**2 + 6*t**2 + 16*t**2 + 8*t**2 + 889*t to i*t + j + o*t**2 and give i. 889 Express (-2*f - f + 2*f)*((0 + 1 + 1)*(-2 + 0 + 1) + 5 + 16 - 3 + 2 + 1 - 4) - 6*f - f + 5*f in the form w + b*f and give b. -17 Rearrange -12 + 15 - 2 + 89*s**2 - 3*s**2 + 227*s**2 to x*s**2 + q*s + c and give x. 313 Express -w**4 + 12*w**2 - w**2 - 4*w + 26*w**3 + 3*w - 31*w**3 - 2 in the form g*w + u*w**4 + a*w**3 + m*w**2 + b and give m. 11 Express (-1 - 4 + 3)*(45 + 14 + 27)*(-m**2 + 3*m**2 + m**2) in the form f*m + k + o*m**2 and give k. 0 Rearrange -53*t**2 + 47*t**2 + 219*t**2 to the form u + i*t + q*t**2 and give q. 213 Express (253*b + 196*b - 152*b)*(0*b**2 - b**2 - b**2) in the form z + u*b**3 + t*b**2 + q*b and give u. -594 Rearrange 13*l**2 + 565 - 564 - 2*l + 8*l**2 + 2*l**4 to the form h*l**3 + u + n*l**4 + p*l + b*l**2 and give n. 2 Rearrange -3*s**2 + 1 - 8*s**2 - 8929*s + 8927*s to the form v + h*s**2 + l*s and give l. -2 Express (2 - 2 - p)*(-8 - 3 + 0) + 0*p - 3*p - p in the form j + r*p and give r. 7 Rearrange -11 + 2*z**2 - 47*z**3 + 93*z**3 - 48*z**3 + 2*z to the form m*z**3 + n*z**2 + s*z + l and give m. -2 Rearrange (4 + 2 - 4)*(5*k**2 - 2*k**2 - 2*k**2) - k**2 - 44*k + 44*k + 2*k**2 + 4 - 4 + 2*k**2 - 4*k**2 + 4*k**2 to z + d*k**2 + s*k and give s. 0 Rearrange 2*w**2 - 2*w**2 - 2*w**4 + (12 - 6*w - 12)*(12*w**3 - 18*w**3 - 9*w**3) to the form d*w**3 + h*w**2 + y + g*w + r*w**4 and give r. 88 Rearrange 11*m**2 + 33*m**3 + 35*m**4 - 36*m**3 - 2*m - 1 - 33*m**4 to the form b + g*m**2 + u*m**4 + z*m**3 + q*m and give u. 2 Express 54 - 52 + 5*w + 760*w**2 - 5*w as p*w + s*w**2 + o and give o. 2 Express 3317*u**4 - 95*u**2 + 15*u**2 - 3316*u**4 + u - u**3 + 3 as f*u + w + z*u**3 + v*u**2 + r*u**4 and give w. 3 Express 5*q**3 - 14*q + 14*q + 16*q**2 - 84*q**3 as l*q + k + r*q**2 + o*q**3 and give o. -79 Express (-3 - 1 - 2)*(2 + 0 + 0)*(-3 + 4 + 0)*(12 + 14 - 43)*(-2*s**4 + 2*s**2 - 2*s**2) as c*s**3 + h*s**2 + i*s**4 + t*s + b and give i. -408 Express 3 - 7 + 14*i**3 + 7 - 1 - 2*i**2 in the form r*i + g + s*i**3 + u*i**2 and give g. 2 Rearrange 0*r**2 + 186 - r - 2*r**2 - 188 - r**2 to the form q*r + g*r**2 + h and give q. -1 Express -81 + 10*t + 8*t + 62 as i*t + h and give h. -19 Express 0 - 53*b + b**3 - 2 + 55*b**2 + b**4 + 51*b in the form z*b + q*b**3 + u + s*b**2 + l*b**4 and give s. 55 Express -15*t**4 - 139*t + 35*t**4 - 21*t**4 - 2 as n*t + k*t**3 + h*t**2 + b*t**4 + x and give k. 0 Rearrange -141 + 77 + 69 + 2*g**2 + g**3 to v*g**2 + f + z*g**3 + l*g and give z. 1 Express -4 - u + 4 + (-25 + 3 + 0)*(0 - 3 + 1)*(0*u - 2*u + u)*(3 - 5 - 2) as g + n*u and give n. 175 Express (2*p - 5*p + p)*(-3 - 2 + 3) + 4*p - 2*p - 4*p + (-2 + 1 + 0)*(4*p - 6*p + p) - 6*p + 7*p + 4*p - 2*p - 1 + 1 as h*p + k and give k. 0 Express (-m + m - 5*m**2)*(9*m + 5*m - m) - m**3 - 3*m**3 + 3*m**3 as c*m**3 + s*m + q*m**2 + o and give c. -66 Express -15*t**2 - 13*t**2 - 72*t + 43*t**2 - 17*t**2 in the form n*t**2 + b*t + u and give b. -72 Rearrange (-2*r + 0*r + 4*r)*(0*r + 2*r - 5*r)*(r - 2*r + 2*r)*(-100 - 40 + 36) to k*r + x*r**3 + a + b*r**2 and give x. 624 Rearrange -3*a**4 - 5*a**4 + 28*a**4 + (49*a + 277 - 277)*(-a**3 + 3*a**2 - 3*a**2) to the form y*a**3 + k*a + v + r*a**2 + f*a**4 and give f. -29 Express -1686*b + 0*b**2 + 0*b**2 + 10*b**2 - 3*b**2 - 8*b**2 as l*b + y*b**2 + n and give l. -1686 Rearrange -56*z + 323*z**2 - 54*z + 111*z to b + k*z + w*z**2 and give k. 1 Rearrange 42 - 47 - 60 + 2*w - 23 - 56 to the form u + p*w and give p. 2 Express 2*d**4 - 11*d**
{ "pile_set_name": "DM Mathematics" }
What is the derivative of 7245*r**2 - 262*r + 6046107 wrt r? 14490*r - 262 What is the second derivative of -193248*n**3*v**2 - 4*n**3 + 67*n**2*v**2 + 56037*n**2 - 3*n - 3*v - 2 wrt v? -386496*n**3 + 134*n**2 What is the derivative of -j*y + 322*j + 261637825*y**2 + 824191 wrt y? -j + 523275650*y Find the second derivative of -2*n**2*r**4 + 24*n**2*r*t + 10373*n**2*r + 5*n**2 + 14903651*n*r**3*t - 2*n*t + 2*r*t wrt r. -24*n**2*r**2 + 89421906*n*r*t Find the first derivative of 149931102*w + 241088519 wrt w. 149931102 Find the first derivative of -16711*c**4 - 106*c**2 + 8106104. -66844*c**3 - 212*c Find the first derivative of 876*h**3*x - 45673*h**3 - 10*h**2 - 300*h*x + 3*h wrt x. 876*h**3 - 300*h Find the third derivative of 2696*p**4 - 2354*p**3*w - p**3 + 45657164*p**2*w wrt p. 64704*p - 14124*w - 6 Differentiate 107220214*l - 89615062 with respect to l. 107220214 What is the third derivative of -8*p**4 - 261084*p**3 + 140649*p**2 - 16*p + 1 wrt p? -192*p - 1566504 Find the first derivative of 54*k**2 - 24568*k + 55326567 wrt k. 108*k - 24568 Differentiate 4893*a*z**3 - a*z**2 - 3*a*z + 10423772*z**3 with respect to a. 4893*z**3 - z**2 - 3*z Differentiate 568*b**3*s*w + 5638*b**3*w - 3183*b**2*w + 17*b*s*w - 128*b*s + 2*w wrt s. 568*b**3*w + 17*b*w - 128*b What is the derivative of -625638*u**3 + 2*u**2 - 2*u - 6471704 wrt u? -1876914*u**2 + 4*u - 2 Find the third derivative of 4*a**3*b**2 + 160306*a**3*b - 21*a**3 + 2*a**2*b**2 + 72*a**2 - 76163*b**2 wrt a. 24*b**2 + 961836*b - 126 What is the second derivative of -14293557*q**4 + 20906*q + 103? -171522684*q**2 What is the third derivative of 2*z**5 - 118521567*z**3 + 80298*z**2 + 101*z + 7? 120*z**2 - 711129402 Find the third derivative of 6*q**6 - 155*q**5 + 6256*q**3 + 44057*q**2 - 4*q + 78. 720*q**3 - 9300*q**2 + 37536 Differentiate -74975876*q**3*y - 311*q**3 - 2789*q**2 + 4 wrt y. -74975876*q**3 Find the second derivative of -231*m*z**3 - 8*m*z**2 - 20175332*m*z - 171*z**3 + 3*z**2 wrt z. -1386*m*z - 16*m - 1026*z + 6 Find the third derivative of -252969980*c**3 - 26818716*c**2 wrt c. -1517819880 Find the first derivative of 157826*h**2*w - 2*h**2 - 445*w**4 + 25340480 wrt w. 157826*h**2 - 1780*w**3 What is the second derivative of 22404650*b**5 + 3992937*b - 2 wrt b? 448093000*b**3 Find the second derivative of -12430832*g**5 - 10*g**2*q**2 - 5819*g*q**2 + 2*g*q - q**2 + 4*q - 1 wrt g. -248616640*g**3 - 20*q**2 What is the derivative of -528696*b*f**2*k**2*r + 2*b*f**2*k + 208*b*k**2 - 4*f**2*k*r - 2*f**2*k - 26*f**2 + 188*f + k**2 + 3 wrt r? -528696*b*f**2*k**2 - 4*f**2*k Find the second derivative of 997249*v**4 - 709*v + 38 wrt v. 11966988*v**2 What is the first derivative of 1030*j**3*k*w + 526*j**3*k + 2*j**3*w + 4*j**3 + 3*j*w + 4725*j + 4*k*w + w + 5 wrt k? 1030*j**3*w + 526*j**3 + 4*w Find the second derivative of -3824639*n**3 + 18*n - 360133. -22947834*n What is the third derivative of 367138618*f**4 + 318763324*f**2 wrt f? 8811326832*f Find the second derivative of -100*h**2*m**2*x + 31*h**2*m**2 + 5*h**2*m + 3*h*m*x + 26330*h - 319*m**2 wrt m. -200*h**2*x + 62*h**2 - 638 Find the third derivative of 88699300*n**3 + 93421941*n**2 wrt n. 532195800 What is the derivative of -3*j**3*q + 9*j**3*s - 2*j**3 + j**2*s + 10*j**2 - 3*j*s + 360*q**3 + 3469*q**2*s - 6161 wrt q? -3*j**3 + 1080*q**2 + 6938*q*s Find the second derivative of -46*n**4 - 115917*n**2*s**3 - 2*n*s**3 + 30769559*n wrt n. -552*n**2 - 231834*s**3 What is the third derivative of -158008*z**4 - 607*z**3 - 2156894*z**2 + 7*z + 1 wrt z? -3792192*z - 3642 Find the second derivative of 53355*c**4 - 674*c**3 - 4674*c + 596 wrt c. 640260*c**2 - 4044*c Find the first derivative of -62820*i**3 + i**2 - 70*i + 194289660 wrt i. -188460*i**2 + 2*i - 70 What is the first derivative of -2*s**3 + 209532375*s**2 + 82623846? -6*s**2 + 419064750*s Find the third derivative of -3758985*t**2*z**3 + 2*t**2*z**2 + 4*t*z**3 - 16587698*t*z**2 - z**3 wrt z. -22553910*t**2 + 24*t - 6 What is the third derivative of 148656420*f**5 - 862*f**2 - 76842 wrt f? 8919385200*f**2 What is the second derivative of -7920568*r**2 + 1320398*r + 1 wrt r? -15841136 Differentiate 3467*g**3 + 2527*g*s + 399*s + 12568 with respect to g. 10401*g**2 + 2527*s What is the second derivative of -276824330*m**2*n + m - 4601103*n wrt m? -553648660*n What is the third derivative of 17058076*m**6 + 195*m**2 - 104394 wrt m? 2046969120*m**3 What is the third derivative of -2*a**2*d**3 + 1161*a**2*d**2 - 353*a**2 - 48*a*d**3 - 1529*d**3 - 2*d**2 wrt d? -12*a**2 - 288*a - 9174 Find the first derivative of 23933572*w**3 + 22414982 wrt w. 71800716*w**2 Find the second derivative of 291028386*x**3 + 270913931*x. 1746170316*x Differentiate 309705*w**4 - 39*w - 13789290 with respect to w. 1238820*w**3 - 39 Find the third derivative of -121*f**3*k**3*r + 22*f**3*k**2 + 2*f**3*k - 694*f**2 + 3*f*x - 10558*k**3*r*x + 10*r*x wrt k. -726*f**3*r - 63348*r*x What is the derivative of -1161473*b**2 + 2*b + 6779221? -2322946*b + 2 What is the third derivative of 680039*m**3 - 31031*m**2 + 82 wrt m? 4080234 What is the second derivative of 1148*i**5 + 1168*i**4 + 33*i**2 + 216488498*i? 22960*i**3 + 14016*i**2 + 66 Find the third derivative of -107*i**4 + 9776*i**3 - 7576*i**2 - 165*i. -2568*i + 58656 What is the third derivative of -2*a**5 - 8174798*a**4 - 13039831*a**2 - 2*a wrt a? -120*a**2 - 196195152*a What is the derivative of 14325292*d**2 + 31562456? 28650584*d What is the second derivative of 3891*j**5 + 2479*j**2 - 92002635*j wrt j? 77820*j**3 + 4958 What is the third derivative of 20274764*d**3*x**2 - d**2*x**2 - 12279690*d**2*x wrt d? 121648584*x**2 Find the third derivative of 65*g**6*m - 2224662*g**3*m - 78*g**2*m - 2292952*g*m wrt g. 7800*g**3*m - 13347972*m Differentiate 3078704*g*y**3 + 1560*g + y**4 + 418 with respect to y. 9236112*g*y**2 + 4*y**3 What is the second derivative of 292067*z**3 + 97*z**2 + 7*z + 858082 wrt z? 1752402*z + 194 Find the third derivative of -74658372*o**3 + 97209102*o**2. -447950232 What is the second derivative of 1788806*g**3 - 1857440*g + 2? 10732836*g Find the third derivative of -4594414*l**3 - 297721*l**2 + l. -27566484 Find the third derivative of -114359*i**4*n + i**3*n**2 - 10*i**2*n**2 - 11*i**2 - 3857*i*n**2 wrt i. -2744616*i*n + 6*n**2 What is the second derivative of 8931176*x**2 + 56751574*x wrt x? 17862352 Find the second derivative of -2*g**5 + 717895*g**3 - 32*g**2 - 28605*g - 5 wrt g. -40*g**3 + 4307370*g - 64 Differentiate -369873416*w**2 - 11565860. -739746832*w What is the second derivative of -1088639*u**2 + 19880670*u? -2177278 What is the second derivative of -215*f**3*h - f**3 - 38138*f**2*h + 10*f*h - 208*f - 907*h wrt f? -1290*f*h - 6*f - 76276*h Find the second derivative of -4*x**4 - 79*x**3 + 5625*x**2 - 770039*x wrt x. -48*x**2 - 474*x + 11250 What is the derivative of 132*m*s**2 + 121*m*s + 1007*m - 4*s**2 + 433534*s wrt m? 132*s**2 + 121*s + 1007 Find the first derivative of 5*m*q**3 - 3*m*q**2 - 3979352*m + 196318655*q**3 wrt m. 5*q**3 - 3*q**2 - 3979352 Find the third derivative of d**6 - 52*d**4 + 426607*d**3 - 11*d**2 - 5980466. 120*d**3 - 1248*d + 2559642 Find the second derivative of -327422042*f**4*r - 1029*f*r - 72*f + 13*r - 3 wrt f. -3929064504*f**2*r What is the third derivative of -234335890*r**3 + 108009931*r**2? -1406015340 What is the third derivative of 13*p**5 + 449*p**4 + 1624*p**3 - 108268785*p**2 wrt p? 780*p**2 + 10776*p + 9744 Find the first derivative of -7075225*d**3 - 53133160. -21225675*d**2 Find the third derivative of 2296860*l**3 - 2*l**2 + 396614 wrt l. 13781160 What is the second derivative of -7286078*i**5 + 441155428*i wrt i? -145721560*i**3 What is the first derivative of -14913042*t + 44793008 wrt t? -14913042 Find the first derivative of 17919819*f*o**2 - 142*o**2 - 6*o - 178 wrt f. 17919819*o**2 What is the third derivative of 978998004*w**3 - w**2 + 13231236*w - 18? 5873988024 What is the first derivative of -160268528*p - 56787278 wrt p? -160268528 What is the first derivative of 12623808*c**3*o - 4*c**3 - 2*c**2 - 13*c*o**2 - 6*c - 45597 wrt o? 12623808*c**3 - 26*c*o What is the first derivative of 116399689*d + 49291490? 116399689 What is the first derivative
{ "pile_set_name": "DM Mathematics" }
the nearest to -11? (a) -2 (b) 0.1 (c) -15 (d) 1 (e) -1034 (f) 1/7 c What is the nearest to -3/31 in -5, 0.049, 5, -3/7, -15? 0.049 What is the closest to -3 in -5, -2, -272626, 4? -2 Which is the nearest to -166? (a) 2/11 (b) -108.1 (c) -3 b What is the nearest to -3734 in -0.4, 21, 16, 2/9? -0.4 Which is the nearest to 1/3? (a) 159 (b) 6 (c) 2 (d) 1.105 (e) 3 d Which is the nearest to 0? (a) 1/5 (b) 3 (c) 4/11 (d) -1 (e) -3216 a Which is the nearest to -234? (a) 4/13 (b) -1/15 (c) 0.065 (d) 4 (e) -4 e What is the nearest to 1/2 in -259/2, 0.14, -4, -2, 0? 0.14 What is the closest to 0 in 3213, -11, -0.2, -3/7? -0.2 What is the nearest to 221 in -6/5, 3, 0.5, 451? 3 What is the nearest to -4.9 in -2, -3/10, 5, 34, 1/8, -4? -4 What is the closest to -3 in 16, 0.028, 246? 0.028 What is the nearest to -2/5 in -1, 5/6, 2, 6/7, -0.1615? -0.1615 Which is the closest to 0? (a) -16 (b) -3/7 (c) -45 (d) -6.3 (e) 3 b What is the closest to -64 in -0.047, -0.6, 0.05, -0.1? -0.6 What is the closest to -824 in -16, 10, 3/7, -2/9, 5? -16 Which is the closest to 0.2? (a) 192 (b) 161 (c) -12 c What is the nearest to 0 in -5/3, 0.3, -156, -1/8, -22? -1/8 What is the closest to -25.6 in -1/9, -0.132, 2/7, -3/7, -4? -4 Which is the nearest to 7.36? (a) -9.3 (b) 4/7 (c) 51 (d) -1 (e) 2/17 (f) 3/2 f What is the closest to -2/5 in 1, 0.1, 17/59, 1447? 0.1 Which is the nearest to -1? (a) -5 (b) 241 (c) -53 (d) 0 (e) 0.3 d What is the nearest to 3/7 in 3, -2.97, 53, -1/2? -1/2 Which is the closest to 0.1? (a) 5/16 (b) 0.3 (c) 35 (d) 52 (e) -1 (f) 4 b Which is the closest to 15690/7? (a) -1 (b) 3 (c) -61 b What is the nearest to 10 in 2/11, 2, -1, 16, -2? 16 What is the closest to -1 in 6/169, 2, 0.3, -1/6, -61? -1/6 Which is the nearest to 1? (a) -1 (b) -16.03 (c) 184 a What is the nearest to 0 in -2/23, -0.26, -19, -1/5, 0.36? -2/23 What is the nearest to 2 in -0.5, 1, -24, 499/4, 0, 3/91? 1 Which is the closest to 0? (a) -23/4 (b) 0 (c) -0.2 (d) -478 (e) 0.012 b Which is the nearest to 1? (a) -0.3 (b) -0.5 (c) 0 (d) 692/11 (e) 7 c Which is the nearest to -2? (a) 1206 (b) -4.9 (c) -46 b Which is the nearest to -1? (a) -85 (b) 2646 (c) 2/9 (d) -11 c Which is the nearest to 0? (a) 0.4 (b) -16.97 (c) 6/17 (d) 0.697 c Which is the nearest to -1? (a) 0.2 (b) 1/4 (c) 6694710 (d) -5 a What is the closest to 33.1 in -1/141, 5, -420? 5 What is the closest to 459 in 17, 0.0049, -3? 17 What is the nearest to -21 in -12/181, -0.4, -1019? -0.4 What is the nearest to 0.1 in 23, -1, -12, 5, -360? -1 Which is the nearest to 0.1? (a) -3 (b) 0.2 (c) 2.23 (d) 2374 (e) -0.3 b Which is the closest to -1? (a) -8 (b) 77.4 (c) -4 (d) 0.3 d Which is the closest to 10? (a) -3/41 (b) -0.1 (c) 4 (d) -1.56 (e) -18 c Which is the nearest to -2/137? (a) -0.2 (b) 1/7 (c) -0.06 (d) 4 (e) 0.11 c What is the closest to 786 in 0, 230/9, 1? 230/9 Which is the nearest to 0? (a) 2 (b) -6673.335 (c) 0.3 (d) -1/4 (e) 4/5 d Which is the closest to -51? (a) -15 (b) -0.4 (c) 2 a Which is the nearest to 0.228? (a) 734 (b) 0.4 (c) -3/25 b What is the closest to 27/5 in -10/27, 25, 2, 0? 2 What is the nearest to 0.09 in 0, -0.2, -3.1884, -6? 0 What is the closest to 3/40 in -2/37, -5, 3.9, 18, -1? -2/37 Which is the closest to -10? (a) 3 (b) -0.88 (c) 0.1 (d) -2/19 b What is the closest to 38 in 921, -0.261, -3? -0.261 What is the nearest to -1483 in -1/336, 4, -2? -2 Which is the closest to 2/9? (a) -0.16 (b) -2/53 (c) 7 (d) -1.8 (e) -128 b Which is the closest to -3? (a) 0.2 (b) 6/317 (c) 3.89 (d) 1/6 b What is the closest to 2285460 in 3/4, -1/6, -1/4, 2/11? 3/4 What is the nearest to -51/8 in 1/5, -1, 0, 30, 3/34, -1/6? -1 What is the nearest to 4 in 3/10, -2, 1/5? 3/10 Which is the nearest to 0.35639? (a) -5 (b) -1.31 (c) -2/3 c Which is the closest to -16415? (a) -5 (b) -45 (c) -2 (d) -4 b Which is the closest to -2/11? (a) -0.1 (b) 31/4 (c) -34 (d) 3 (e) 2/13 a What is the nearest to -5 in 3, -2, -2/11, 1/608, 5.02? -2 What is the closest to 0.14 in 1, -2/655, 55? -2/655 Which is the nearest to 0.12? (a) -2 (b) 1229 (c) -8 a Which is the nearest to -0.45? (a) 0.1 (b) -0.045 (c) -3/4 (d) -25 (e) 5 c What is the nearest to -13/4 in -1/4, -18, 0.15, 5, 1? -1/4 Which is the nearest to 15? (a) 319491.3 (b) -0.4 (c) 0.2 c What is the closest to 2/3 in -28, 0.074, 3, 178? 0.074 What is the nearest to -51 in 986, -6, -4, -2, -0.5? -6 Which is the nearest to -2/7? (a) 44.237 (b) 28 (c) -0.02 (d) 0 (e) -5 c What is the nearest to -3/223 in 10/13, -0.068, 2, -0.07? -0.068 Which is the closest to -8? (a) -22/169 (b) -0.3 (c) -1/4 (d) 0.3 (e) 0.4 (f) -2/3 f Which is the closest to 0.02? (a) 0.4 (b) -1 (c) -0.05 (d) -6/31 (e) -4/3 c What is the closest to 0 in 11/2, -30, 948, 2/7? 2/7 What is the nearest to -22 in 2/7, 2/9, 0.4, 0.33, 2/19? 2/19 What is the nearest to 84/17 in -8, 0.4, 1/2, 1, 424? 1 What is the nearest to -0.1 in 1/7, -2038214, 5? 1/7 What is the closest to 0.1424 in -1/3, -3, 0.0615, 3? 0.0615 Which is the closest to -0.073? (a) -5 (b) 3/4 (c) -3 (d) -2/7 (e) 18 d What is the nearest to 4 in 0, 28, -0.39, -42? 0 What is the nearest to 0.045 in -155.44, 4, -4? 4 What is the closest to 1/47107 in -1, -5, -2/811, 0.2? -2/811 Which is the closest to 3.379? (a) -3 (b) -1/9 (c) -1481 b Which is the closest to -2/3? (a) -1/6 (b) -1 (c) 36139 (d) -0.7 d What is the closest to 2/21 in 3/8, 17.485, 17/3, 0.7, 2? 3/8 What is the nearest to -58.6 in -1/5, -17, -8, -0.5? -17 What is the closest to -2/11 in -4/7, 0.036, 17, -128? 0.036 Which is the closest to 1.6? (a) 0.6 (b) 5.1 (c) 208 (d) -0.3 a What is the closest to -0.06 in -2, 2/13, 0, 1/5, 7/101? 0 Which is the nearest to 0.1? (a) 3 (b) -4 (c) -2434 (d) -0.5 (e) -7 d Which is the closest to -760.95? (a) 4 (b) -4/345 (c) 2/3 (d) 0.4 b What is the nearest to -26886 in 3, 0.01, -2? -2 Which is the closest to -0.05? (a) -2 (b) -0.44 (c) 0.019 (d) 20 (e) -4 c What is the closest to 1 in 0.5, 83, 6/49, -69, -5? 0.5 Which is the closest to 2/3? (a) -4 (b) -3 (c) -0.04 (d) -1/2 (e) -220283 (f) -1 c What is the closest to -1 in 5, 0, 3, 33? 0 What is the closest to 2 in 4, -1547/6, -5, -0.5? 4 What is the nearest to -1 in 4, 9, -1, -4/203, 20? -1 Which is the closest to 2/13? (a) -1 (b) 3339 (c) -0.2 (d) 1/4 (e) -0.4 d Which is the closest to -0.1? (a) 26 (b) -7/752 (c) -1/3 b Which is the closest to 0.1? (a) -0.3 (b) 1.1 (c) -4 (d) 831/1000 a What is the closest to 2/7 in 3/4, -2/5, 0.35628? 0.35628 Which is the nearest to 0? (a) -0.05 (b) -0.5 (c) 614.89 (d) 0.2 a What is the nearest to 0.074 in 0.2, -7, 2/17, 71? 2/17 Which is the nearest to 0? (a) 15602 (b) -170 (c) -8 c What is the closest to -11701 in -0.4, -0.2, -29? -29 What is the closest to 0.01713 in 291, -1, 4? -1 Which is the closest to -1? (a) -0.3 (b) -0.26 (c) -5 (d) -38595/7 a Which is the nearest to -10? (a) 4 (b) -0.05 (c) -427 (d) 21 b What is the nearest to 1 in 261, -9.46, -8, -3/8, 0.5, -2? 0.5 Which is the nearest to -1? (a) 62 (b) -0.933 (c) 198/5 b What is the nearest to 1 in -0.13, -1.3, -33, -523, -6, 0.4? 0.4 What is the nearest to -0.1 in 0, 486/223, -1? 0 Which is the closest to 37? (a) 0.3 (b) 137 (c) -3.9 a Which is the nearest to -77? (a) 3 (b) -1/14 (c) 2 (d) 22 b Which is the nearest to -1? (a) 75 (b) 1/12 (c) -293 (d) -1/2 d What is the nearest to -0.1 in -4, 62, 8199? -4 What is the nearest to -0.1 in -2, 0.06, 216183, -5/6? 0.06 Which is the closest to 0.1064? (a) 0.5 (b) 2 (c) 4/11 (d) -4/7 (e) -3 c What is the nearest to -11/12 in 6, -96, 3, 602? 3 What is the closest to -6 in -3/5, -920, 5, 31? -3/5 Which is the closest to 1/2? (a) 22/7 (b) 7 (c) 0 (d) -69 c Which is the closest to 0.1? (a) 32 (b) -1 (c) -14 (d) 1218 b What is the closest to 3 in 68, -7, -0.4, 836? -0.4 Which is the nearest to -3? (a) -0.4 (b) -17/5 (c) -12 (d) -84 (e) 2/17 b Which is the nearest to 0.058? (a) 0.2 (b) -0.4 (c) 0 (d) -5/36 (e) 16/15 c What is the closest to 2 in -0.2, 2/9, -409, -2/3, 2/17? 2/9 Which is the nearest to -0.2? (a)
{ "pile_set_name": "DM Mathematics" }
t in 4*t**2 - 208983*t - 52246 = 0? -1/4, 52246 Find u, given that u**3/6 - 967*u**2/6 - 4403*u/3 + 10736/3 = 0. -11, 2, 976 Factor -4*l**2/17 - 54*l + 460/17. -2*(l + 230)*(2*l - 1)/17 Let m**2/6 - 287*m/6 - 4308 = 0. Calculate m. -72, 359 Let -5*b**5 + 925*b**4 + 75345*b**3 - 77185*b**2 - 75340*b + 76260 = 0. Calculate b. -62, -1, 1, 246 Let 6348*f**3/7 - 6479468*f**2/7 + 281707*f/7 - 3062/7 = 0. Calculate f. 1/46, 3062/3 Solve -70*a**5 + 4196*a**4/3 - 10630*a**3/3 - 68*a**2 = 0 for a. -2/105, 0, 3, 17 Find n, given that 3*n**4/2 - 165*n**3 + 4512*n**2 + 165*n - 9027/2 = 0. -1, 1, 51, 59 Solve 2*t**2/7 - 1410008*t/7 + 248515320008/7 = 0. 352502 Determine m so that 4*m**3 + 16324*m**2 - 32660*m + 16332 = 0. -4083, 1 Suppose 2*p**2 + 1365440*p - 1365442 = 0. Calculate p. -682721, 1 Factor -f**3/4 + 3597*f**2/2 + f/4 - 3597/2. -(f - 7194)*(f - 1)*(f + 1)/4 Solve 3*z**2 + 24426*z + 49719123 = 0 for z. -4071 Solve 2*b**5/17 + 2682*b**4/17 + 10704*b**3/17 + 10696*b**2/17 = 0 for b. -1337, -2, 0 Factor -3*b**3/5 - 1944*b**2/5 - 137943*b/5 - 520182. -3*(b + 39)**2*(b + 570)/5 Determine v, given that 2*v**2 - 73720*v + 679329800 = 0. 18430 Factor 3*h**2 + 159*h - 35190. 3*(h - 85)*(h + 138) Let 3*k**5 - 1959*k**4 + 5838*k**3 + 7800*k**2 = 0. Calculate k. -1, 0, 4, 650 Find z such that 16*z**5 - 6644*z**4 + 14764*z**3 + 42916*z**2 + 14884*z - 6608 = 0. -1, 1/4, 4, 413 Find p, given that -6*p**3 + 424*p**2/3 + 4840*p/3 - 72800/3 = 0. -130/9, 10, 28 Factor -4*j**2/5 + 1884*j/5 + 27872. -4*(j - 536)*(j + 65)/5 Find c such that -3*c**3/7 - 324*c**2/7 - 951*c/7 - 90 = 0. -105, -2, -1 Solve 12*d**2/5 - 10053*d/5 - 2514/5 = 0 for d. -1/4, 838 Suppose -6*r**5/5 - 237*r**4/5 + 453*r**3/5 + 3543*r**2/5 + 4089*r/5 + 246 = 0. What is r? -41, -2, -1, -1/2, 5 Let 5*b**5/4 + 2725*b**4/2 - 21885*b**3/4 - 2725*b**2/2 + 5470*b = 0. What is b? -1094, -1, 0, 1, 4 Determine v so that 2*v**3/3 - 124*v**2 + 6888*v - 295856/3 = 0. 22, 82 Factor l**4 - 90*l**3 + 1932*l**2 - 12152*l. l*(l - 62)*(l - 14)**2 Determine u so that 10*u**3 + 6905*u**2 - 102155*u + 49350 = 0. -705, 1/2, 14 Solve -2*z**3/11 - 5066*z**2/11 - 20232*z/11 = 0. -2529, -4, 0 Factor 5*b**2 + 6075*b + 501070. 5*(b + 89)*(b + 1126) Factor -z**3/2 - 1506*z**2 + 6031*z/2 + 4521. -(z - 3)*(z + 1)*(z + 3014)/2 Determine k, given that 68*k**5/3 + 2609*k**4/3 + 1020*k**3 - 14245*k**2/3 - 5488*k/3 - 148 = 0. -37, -3, -1/4, -2/17, 2 Factor -2*q**2/9 + 554*q/9 - 928. -2*(q - 261)*(q - 16)/9 Let 21*l**4/5 + 4161*l**3/5 + 255216*l**2/5 + 4583376*l/5 + 4910976/5 = 0. What is l? -84, -29, -8/7 Suppose 2*n**4/7 + 1450*n**3/7 + 8628*n**2/7 - 64*n/7 - 46016/7 = 0. What is n? -719, -4, 2 Find n, given that 2*n**3 - 22*n**2 - 322*n + 342 = 0. -9, 1, 19 Determine g so that 25*g**5 - 905*g**4 + 955*g**3 + 3445*g**2 - 4220*g + 700 = 0. -2, 1/5, 1, 2, 35 Determine b, given that -12*b**5/5 - 327*b**4/5 + 135*b**3 + 1857*b**2/5 - 1671*b/5 - 522/5 = 0. -29, -2, -1/4, 1, 3 Factor -3*t**2 + 408*t - 13284. -3*(t - 82)*(t - 54) What is a in 2*a**2/19 - 1996*a/19 + 7952/19 = 0? 4, 994 Suppose -48*x**5/5 + 28*x**4 + 444*x**3/5 + 276*x**2/5 + 4*x = 0. What is x? -1, -1/12, 0, 5 Find q, given that q**2 + 761548*q + 144988839076 = 0. -380774 Let l**3/8 + 6941*l**2/2 + 41639*l/2 + 27758 = 0. Calculate l. -27758, -4, -2 Find f, given that 1183*f**5 - 28964*f**4 - 458213*f**3/4 - 214653*f**2/4 - 15975*f/2 - 378 = 0. -3, -2/7, -3/26, 28 What is n in -4*n**4 - 16*n**3 + 916*n**2 + 5824*n = 0? -13, -7, 0, 16 Factor 4*c**2 + 524456*c + 17190880996. 4*(c + 65557)**2 What is x in 3*x**4 - 39351*x**3 + 118035*x**2 - 118029*x + 39342 = 0? 1, 13114 What is k in -2*k**2/9 - 6604*k/9 = 0? -3302, 0 Determine t, given that 5*t**2 - 760440*t - 760445 = 0. -1, 152089 Find f, given that -3*f**2 - 106968*f = 0. -35656, 0 Suppose -2*k**3/15 + 10*k**2 + 8*k/15 - 40 = 0. Calculate k. -2, 2, 75 Factor 36*o**3 + 13940*o**2 - 110664*o - 25280. 4*(o - 8)*(o + 395)*(9*o + 2) Factor 5*z**2 - 68550*z + 68545. 5*(z - 13709)*(z - 1) Determine n, given that n**3/5 + 289*n**2/5 + 4082*n + 39672/5 = 0. -171, -116, -2 Solve -5*d**2 - 51370*d + 720160 = 0. -10288, 14 Factor 27*f**2/4 + 10073*f/4 + 373/2. (f + 373)*(27*f + 2)/4 Determine f, given that -300*f**5 - 2735*f**4 - 2713*f**3 - 1047*f**2/4 + 73*f/4 + 2 = 0. -8, -1, -1/10, 1/12 Factor -m**3/5 - 432*m**2/5 + 1741*m/5 - 1308/5. -(m - 3)*(m - 1)*(m + 436)/5 Factor 4*v**2 + 166200*v + 1726402500. 4*(v + 20775)**2 Find f, given that -5*f**5/2 + 347*f**4/4 - 727*f**3/2 + 1327*f**2/4 - 105*f/2 = 0. 0, 1/5, 1, 7/2, 30 Factor -r**3/3 + 29*r**2/3 - 194*r/3 - 224/3. -(r - 16)*(r - 14)*(r + 1)/3 Find f such that -6*f**5 + 2572*f**4 - 11918*f**3 + 19536*f**2 - 13576*f + 3392 = 0. 2/3, 1, 2, 424 Factor 2*b**2 + 3698*b + 7388. 2*(b + 2)*(b + 1847) Solve 2*n**4 + 70*n**3 + 534*n**2 + 866*n + 400 = 0 for n. -25, -8, -1 Suppose 2*t**3/11 + 17782*t**2/11 - 71184*t/11 - 213480/11 = 0. What is t? -8895, -2, 6 Factor -3*t**3/7 - 6864*t**2/7 - 13716*t/7. -3*t*(t + 2)*(t + 2286)/7 Find j such that j**2/7 - 1405864*j/7 + 494113396624/7 = 0. 702932 Determine r so that -237*r**5 + 246*r**4 + 1176*r**3 + 666*r**2 - 27*r = 0. -1, 0, 3/79, 3 Factor -5*v**4 + 852250*v**3 - 2556720*v**2 + 2556710*v - 852235. -5*(v - 170447)*(v - 1)**3 Factor -5*z**5 - 6800*z**4 + 27250*z**3 - 40900*z**2 + 27275*z - 6820. -5*(z - 1)**4*(z + 1364) Find l such that 7*l**3 + 673*l**2/2 + 969*l + 135/2 = 0. -45, -3, -1/14 Suppose -13*k**4 + 531*k**3 - 1356*k**2 - 1900*k = 0. Calculate k. -1, 0, 50/13, 38 What is z in z**4/8 - 37*z**3/8 - 158*z**2 + 667*z/2 = 0? -23, 0, 2, 58 Factor 9*m**2/5 - 19821*m/5 + 6606/5. 3*(m - 2202)*(3*m - 1)/5 Factor -u**4/2 + 2122*u**3 - 2240807*u**2 - 22567470*u - 113103225/2. -(u - 2127)**2*(u + 5)**2/2 Factor 2*u**3 + 32572*u**2 - 652040*u + 3261200. 2*(u - 10)**2*(u + 16306) Suppose -4*d**3/5 + 43*d**2/5 + 179*d/5 + 42/5 = 0. What is d? -3, -1/4, 14 Factor -v**3/9 + 146*v**2/9 + 445*v/9 + 298/9. -(v - 149)*(v + 1)*(v + 2)/9 Let -2*y**2 - 347846*y + 347848 = 0. What is y? -173924, 1 Factor -390*k**2 - 4808*k + 648. -2*(13*k + 162)*(15*k - 2) Find h, given that -h**5/3 - 38225*h**4/3 + 267682*h**3 - 4589420*h**2/3 + 3824600*h/3 = 0. -38246, 0, 1, 10 Find z, given that 1020*z**4 - 1017*z**3 - 3*z**2 = 0. -1/340, 0, 1 Solve 2*j**4 + 190246*j**3 - 1141524*j**2 + 2283080*j - 1522064 = 0 for j. -95129, 2 Factor -4*s**3/7 + 3732*s**2/7 + 68148*s/7 + 308124/7. -4*(s - 951)*(s + 9)**2/7 Factor -4*h**2/5 - 165456*h - 8554902480. -4*(h + 103410)**2/5 Factor 4*y**2 + 3028*y + 157024. 4*(y + 56)*(y + 701) Let 164*l**2 - 1008*l - 4500 = 0. What is l? -3, 375/41 Suppose 16*v**5/13 + 3208*v**4/13 + 26532*v**3/13 + 81190*v**2/13 + 105850*v/13 + 48000/13 = 0. What is v? -192, -5/2, -1 Factor 3*l**5/2 + 1782*l**4 + 1040463*l**3/2 - 5382015*l**2. 3*l**2*(l - 10)*(l + 599)**2/2 Determine r so that -4*r**5/5 - 124*r**4/5 - 1056*r**3/5 - 3824*r**2/5 - 6272*r/5 - 768 = 0. -20, -4, -3, -2 Determine b, given that b**4 + 23*b**3 - 653*b**2 - 5247*b - 9324 = 0. -37, -4, -3, 21 Solve -3*l**2/2 + 159393*l - 1593855/2 = 0 for l. 5, 106257 Factor -2*w**3/3 + 68*w**2/3 - 126*w. -2*w*(w - 27)*(w - 7)/3 Factor -n**2 + 822*n - 6512. -(n - 814)*(n - 8) Find f such that 3*f**3/5 + 8928*f**2/5 - 8931*f/5 = 0. -2977, 0, 1 Factor -2*f**2/3 - 31580*f/3 + 126352/3. -2*(f - 4)*(f + 15794)/3 Solve 25*r**5 - 470*r**4 + 1085*r**3 + 620*r**2 - 960*r = 0. -1, 0, 4/5, 3, 16 Determine k, given that k**5/8 + 267*k**4/8 - 1653*k**3/8 - 4103*k**2/8 - 273*k = 0. -273, -1, 0, 8 Solve 5*y**2 - 1150*y - 266695 = 0 for y. -143, 373 Determine y so that 5*y**2 + 54978*y - 21992 = 0. -10996, 2/5 Factor -2*b**2/5 + 36994*b/5 - 36992/5. -2*(b - 18496)*(b - 1)/5 Solve 3*x**3 + 3666*x**2 - 7341*x + 3672 = 0 for x. -1224, 1 Factor 3*u**5/2 - 267*u**4/2 + 765*u**3 - 1506*u**2 + 996*u. 3*u*(u - 83)*(u - 2)**3/2 Find m, given that 2*m**2/9 + 332*m/9 + 2030/3 = 0. -145, -21 Suppose x**4 - 93716*x**3 - 281157*x**2 - 4*x + 374876 = 0. What is x? -2, 1, 93719 Factor 2*u**2 - 96*u - 770. 2*(u - 55)*(u + 7) Determine l, given that 2*l**3 - l**2/2 - 2*l + 1/2 = 0. -1, 1/4, 1 What is s in 3*s**3 + 2067*s**2 + 32421*s + 78741 = 0? -673, -13, -3 Find c, given that -6*c**5 + 206*c**4 + 1906*c**3 + 1106*c**2 - 588*c = 0.
{ "pile_set_name": "DM Mathematics" }
Let v(j) = -3*j**2 - 3*j + 9. Let q be v(-4). Suppose -55 = -3*i + 62. Let r = i + q. Solve -r = -0*z + 3*z for z. -4 Let t be -304 - -299 - (-30)/4*2. Solve 8 + 2 = t*m for m. 1 Suppose 4*p = -3*g + 32, -4*g = -0*p - p - 11. Let x = 3 - 1. Suppose -4 = -5*s + g*a, -x*s - 4*a = -2 + 6. Solve 5*m + 15 = -s*m for m. -3 Let w(r) = -14*r**3 + 2*r**2 - 7*r - 8. Let z be w(-1). Solve z*p - 11*p - 4 = 0 for p. 1 Let o = 16 - 31. Let d(s) = s**2 + 5*s - 8. Let j be d(-4). Let r = j - o. Solve 2*p + r = 3*p for p. 3 Let r = 56 - 44. Suppose 6*d - r = 12. Solve d*t + 4 = -12 for t. -4 Let y(p) = p**3 - 30*p**2 + 32*p - 85. Let r be y(29). Solve 2*c = -2 - r for c. -2 Let s be 8 + 2/2 + -2. Let o(z) = -z**3 + 3*z**2 - 2*z + 6. Let l be o(4). Let t = l - -21. Solve -5*f + s = -t for f. 2 Let n(x) = -x**3 + 8*x**2 - 8*x + 8. Let u be n(7). Let j(c) = 5*c**2 - c + 1. Let d be j(u). Suppose 0*o = -d*o. Solve -b - 4*b - 5 = o for b. -1 Let r = -1 - -4. Suppose 4*x + 12 = 0, -15 = r*u - 6*u + 5*x. Let k = -181 + 183. Solve 2*b + k + 2 = u for b. -2 Suppose -9*m = 7*m - 22*m. Solve 11*k - 9*k - 2 = m for k. 1 Suppose 3*w - 4*w + 12 = 0. Solve -t = 3*t - w for t. 3 Let f be 79/11 - -7*4/(-154). Suppose 0 = 14*g - 21 - f. Let c = 7 - 4. Solve -g*q = -c*q for q. 0 Let u = 382 - 373. Solve 0*g = u*g + 9 for g. -1 Suppose -35 + 20 = -v. Let n be (-12)/(-5)*v/6. Suppose 4*t = n*t - 6. Solve 0 = -t*o - 2 + 14 for o. 4 Suppose 0 = -3*i - 1 - 98. Let m be (-2)/3*i/22. Let l be (m - -2) + (0 - -1). Solve -l*n - 2 = -3*n for n. -2 Let h(z) = z**2 - 4*z + 1. Let q be h(4). Suppose -2*x - 10 = 5*v - 4, 5*x + 3*v + 34 = 0. Let d = -6 - x. Solve -l - d - q = 0 for l. -3 Let b = -224 - -228. Solve -7 = b*c - 27 for c. 5 Let a = 84 + -84. Let n = -200 - -201. Suppose 4*m - 5*z = 2*m - 11, 5*m + 2 = 4*z. Solve -y + m + n = a for y. 3 Let u = -271 - -276. Solve 24*v - 23*v = -u for v. -5 Suppose -3*i + 25 = 5*a, 4*i = 4*a + 8*i - 12. Solve 4*s - a*s = 20 for s. -5 Let p be 48/9*18/8. Let y = -12 + p. Suppose 3*a = -4*t + 3*t + 10, 3*t - 2*a - 30 = y. Solve k + k = t for k. 5 Let r be 5*(5/1 + (-4)/1). Solve -r*b + 0 - 10 = 0 for b. -2 Suppose -10*w = -6*w - 28. Solve w*a - 14*a + 35 = 0 for a. 5 Let a = -604 - -606. Solve l - a*l - 2 = 0 for l. -2 Let c(y) = -5 - y + 2*y + y - 3. Let t be c(5). Solve 5*g - t*g = 9 for g. 3 Let n = 3 + -1. Let u be (-133)/(-35) - 8/10. Solve 0 = n*m - 1 + u for m. -1 Suppose 46 = 5*x - 4. Let b be ((-15)/(-6) + -2)*x. Solve 4*s = 21 - b for s. 4 Suppose 5*v + 65 = 4*i, 52*v - 57*v - 35 = -2*i. Solve 5 = i*t - 10*t for t. 1 Let b = -1526 + 1547. Solve b*g - 32 = 29*g for g. -4 Let f(t) be the first derivative of -2*t**3/3 - 6*t**2 + 3*t + 3. Let z be f(-6). Solve -z*c - 12 = -0 for c. -4 Suppose 5*f - 2*i = 4, -2*f - 3*i = -i - 10. Suppose f*v + 3*t = 3*v + 3, 2*v = 5*t - 1. Solve -32 + v = 5*r for r. -4 Let r(y) = -9*y + 284. Let l be r(30). Solve -l*q - 5 = 9 for q. -1 Let b = -119 + 119. Solve 4*c - 12 = -b*c for c. 3 Let h be (7 + -17 + 10)/((-3)/1). Let a be 2/(-4) - (-5)/2. Let b be a/(1 + 0) + 2. Solve b*f = -h*f - 8 for f. -2 Suppose 0 = -12*c + 13 + 35. Solve -c*x - 17 = 3 for x. -5 Suppose 3*a - o = 1, 0 = -o - 0 + 5. Suppose 5*l + 13 - 54 = 4*z, -2*l - 2*z = -a. Let j = 3 + l. Solve 4*i - j = 12 for i. 5 Suppose 4*c - 2*k = 94, -6*c = -c - 3*k - 118. Solve -19 = 4*j - c for j. 1 Suppose -11*d + 276 = -8*d. Let h = d - 73. Solve 3*b + 7 = h for b. 4 Suppose -2*a + 15 = -3*m, 2*a + m - 1 = -6. Suppose 5*u = -a*u + 45. Solve 4*n - u + 1 = 0 for n. 2 Let t = -79 + -17. Let b be (-2 - 1) + t/(-16). Solve b*k + 0*k = -15 for k. -5 Let z be (3/9)/(12/108). Solve 2 = z*b + 8 for b. -2 Let y = 71 - 70. Suppose 4*l = 11 + y. Solve -l*n + 4 + 11 = 0 for n. 5 Let d = -95 - -99. Suppose k = d*z - 5*z, -3*z + 5 = 4*k. Solve -k*v + 2 = 17 for v. -3 Let z be 2 - 5/(-2)*(-40)/50. Suppose 0 = -4*p - 12 + 76. Suppose z*g + p = 2*g. Solve r = -r - g for r. -4 Let c(n) = 28*n + 31. Let d be c(-1). Solve -10*u + 35 = -d*u for u. 5 Let o be 2/8 - (-6)/(24/7). Solve -o*h - 2 - 4 = 0 for h. -3 Suppose 0 = -2*b - 3*h + 26, -44 = -5*b - 4*h + 35. Solve -4*l - b = -19 for l. 0 Let z be (-18)/4*(-4)/3. Let v(g) be the second derivative of -g**4/6 + 2*g**3 + 11*g + 7. Let o be v(z). Solve -2*b = -2 - o for b. 1 Let u = 296 + -278. Solve 0 = -15*i + u*i for i. 0 Let b(m) = m**2 + 14*m - 51. Suppose -3*z - 9 - 42 = 0. Let q be b(z). Solve -3*d = 6 - q for d. -2 Suppose -1412 = -29*l + 386. Solve l*t = 58*t - 4 for t. -1 Let k be (4/(-2))/1 + 4. Suppose n + 13 = -2*o, 3*o - 2*n = 5*o + 10. Let y be 32/o - -2*2. Solve k = -2*f - y*f for f. -1 Let f = 30 - -5. Let l = 36 - f. Solve -11 + l = -5*b for b. 2 Let n = -3 + 3. Let m be 4/10 - (n - (-8)/20). Solve 0 = -m*q + q for q. 0 Suppose -c - 2*y - 6 = 0, 4*c - 5*y + 2 - 30 = 0. Solve c*w + 3*w = -20 for w. -4 Let w(a) = -a**3 + 12*a**2 - 21*a + 14. Let y be w(10). Solve y*z = -8 + 28 for z. 5 Let z(v) = 5*v + 63. Let r be z(-11). Solve 2*b - 2 = r for b. 5 Suppose -56 = 10*u - 106. Solve -5*p = 5 + u for p. -2 Let c be ((-6)/(-9))/(2/9). Let x = 1 + 0. Let s be (-1)/1 + x + 2. Solve s*v = 1 - c for v. -1 Let o be (-39)/(-7) + (-44)/77. Solve -2*a = -o + 15 for a. -5 Suppose 4*z = 5*w + 29, 3*z + z + 2*w - 50 = 0. Solve z*v - v - 10 = 0 for v. 1 Let c be (-4)/(-6) + (-32)/(-6). Suppose 2*f + f = 2*k + 5, -f - 9 = 2*k. Let s = c + k. Solve -p - s = -0 for p. -2 Let w be 3 - (-15)/(10 + -5). Solve w*d - 3*d - 9 = 0 for d. 3 Suppose i + 4*b - 3*b = 23, -4*i + 3*b = -71. Solve -33*p + 37*p = -i for p. -5 Let d(l) = l + 4. Let n = -15 + 13. Let i be -2*(1 + (-1)/n). Let j be d(i). Solve j = -3*v + 4 for v. 1 Suppose -4*t + 3*r - 12 = -2*t, 0 = 2*r - 8. Solve t = -z + 4*z - 12 for z. 4 Suppose 0 = 17*i - 20*i + 12. Solve 0 = -32*s + 33*s + i for s. -4 Let a = -14105 - -14106. Let v(p) = -p**3 - 2*p**2 + p + 2. Let q be v(-2). Solve -2*n - 1 - a = q for n. -1 Suppose 5*h - 20 = 10. Suppose 0 = a + 2*a - 12. Solve a = 5*i - h for i. 2 Let q = -37 - -43. Suppose 0 = 2*k - q, 2*k = -6*r + 3*r + 24. Solve 4*m + r = 22 for m. 4 Let w = 1031 - 1031. Solve w = -13*p + 3*p + 20 for p. 2 Let f = -15 - -15. Suppose f*r - 10*r + 20 = 0. Solve 0*g + 2 = r*g for g. 1 Let p(i) = -2*i**2 + 6*i + 36. Let q be p(4). Solve q = 6*z - 2 for z. 5 Let i be (-304)/(-24)*(75/2)/5. Let n = 95 - i. Solve n = -2*q - 0 + 6 for q. 3 Let i be 2/(((-195)/95 + 2)/(-1)). Solve -i*t + 34*t = 8 for t. -2 Suppose g - 74 + 50 = 0. Solve -9*m = -3*m - g for m. 4 Suppose -4*o - 21 - 39 = 0. Let h(r) = -r**2 - 16*r - 14. Let s be h(o). Solve -3 + s = c for c. -2 Let a(g) = 2*g + 14. Let x be a(-5). Suppose -x*r + 36 = 4*l - 0, 15 = 3*l. Solve -3*i + 2*i = r for i. -4 Suppose -2*h + 36 = 81*a - 76*a, 3*a - 12 = 2*h. Solve -198*y + a = -200*y for y. -3 Let s be (-40)/(-4)*16/10. Suppose 0 = -y + 4*g - s, -y + 2*g + 0*g = 8. Let h be y/((5 - 3) + -3). Solve h = i - 1 - 3 for i. 4 Let b be 4*(27/(-6))/(-9). Suppose -5*c = -b*x - 9, -2*c + c = 5*x - 18. Let m be 0/(2 - (c + -3)). Solve 4 = f - m for f. 4 Suppose -2*b + 0*z = -5*z - 15, b + 5*z = 45. Let h be (4/12)/((-3)/(-18)). Solve 7*v + b = h*v for v. -4 Let k = 2 - -1. Let y be -3 + 10 - (0 + k). Solve 0 = 4*u - 6*u - y for u. -2 Let p = -9 - -12. Suppose 7 = -4*l + p*y, 1 = 2*l + y + 12. Let j be (l + 1)/((-6)/4). Solve 2 = j*m - 3*m for m. -2 Let s be (68/(-306))/(10/(-9) + 1). Solve -5*k + 4*k - s = 0 for k. -2 Suppose -5*i - 4 = 16. Let n = -2 - i. Solve n*a - 3*a - 3 = 0 for a. -3 Suppose -3*t = i - 3*i + 16, -i + 3*t = -11. Let h = -3 + 13. Let m be -6*(-1)/2*h. Solve 5*p - i + m = 0 for p. -5 Let d(l) = 32*l - 212. Let j be d(8). Solve s + 48 = j for s. -4 Let l = -1501 + 1508. Solve -l*v = -13*v - 12 for v. -2 Suppose -45*i = 42*i - 79*i. Solve i = -7*l + 9*l + 8 for l. -4 Let r = -6 + 10. Let j be 3*1 - (r + -6). Suppose 4*m - 70 = -j*q, -m + 4 = -1. Solve y - q = -4*y for y. 2 Let g(q) = q**2 - 7*q - 8. Let z be g(9). Solve z*k + 0 = -20 for k. -2 Let j(z) = -z**3 + 14*z**2 - 2*z + 31. Let v be j(14). Solve f - 2 = v*f for f. -1 Let n(g) = -g**3 + 4*g**2 + 2*g + 5. Let a(z) = z**3 - 4*z**2 - z - 6. Let w(b) = -2*a(b) - 3*n(b). Let d be w(5). Solve -d*l = -5*l + 15 for l. 5 Suppose -2*j - 2*j = -20. Supp
{ "pile_set_name": "DM Mathematics" }
-w*r + 2*r - r + 0*r. Determine y(h(z)). 10*z Let d(m) = -2*m**2 - 11. Let n(p) = 4*p**2. What is d(n(r))? -32*r**4 - 11 Let y(r) = -20*r**2 - 4*r. Let a(o) = o. Let w(s) = -4*a(s) - y(s). Let p(t) = -t**2. Give p(w(j)). -400*j**4 Let r(u) = u**2. Let z(q) = -2266*q**2. Calculate z(r(w)). -2266*w**4 Let o(y) = 6*y + 3 - 3 - 8*y. Let c(b) = -2*b**2. What is o(c(m))? 4*m**2 Suppose 0 = -k + 4*k + z - 3, -8 = 2*k + 4*z. Let q(a) = 0*a**2 + k*a**2 - 2*a**2 + a**2. Let s(j) = 7*j. Calculate s(q(h)). 7*h**2 Let y(f) = -f. Let k(m) be the third derivative of m**5/15 + 20*m**2. Calculate k(y(v)). 4*v**2 Let n(q) = 5*q**2. Let x(d) = 2*d - 2. Give x(n(o)). 10*o**2 - 2 Let y(x) = -3*x**2. Let d(s) = 7*s - 6. Let o(u) = 20*u - 17. Let t(l) = 17*d(l) - 6*o(l). Let r(p) = -6*p. Let c(n) = r(n) - 4*t(n). Calculate c(y(w)). 6*w**2 Let y(h) = 2*h**2 - 146*h. Let g(r) = -4*r. Determine y(g(m)). 32*m**2 + 584*m Let g(n) = 5*n**2. Let v(f) = -1251*f. Calculate v(g(s)). -6255*s**2 Let t(x) = -x - 3. Let s(o) be the third derivative of o**4/24 + o**3/3 - 3*o**2. Let z(j) = -3*s(j) - 2*t(j). Let a(y) = -4*y**2. Calculate z(a(p)). 4*p**2 Let f(x) = 5*x - 1 + 2*x**2 + 3 + 3. Let g(m) = -2*m**2 - 6*m - 6. Let k(p) = 6*f(p) + 5*g(p). Let o(v) = -v. Give o(k(r)). -2*r**2 Let f(c) = -130*c**2. Let l(j) = j. What is f(l(q))? -130*q**2 Let u(z) = -z + 5. Let t(i) = 5. Let b(a) = 5*t(a) - 5*u(a). Suppose -7*k + 3*k = -8. Let x(s) = -3*s**k + s**2 + 2*s**2 + s**2. Determine x(b(m)). 25*m**2 Let s(v) = 7*v**2. Let d(m) be the first derivative of 2*m**3/3 - 1. Calculate s(d(a)). 28*a**4 Let t(f) = 2*f. Let r(h) = -14798*h. Give r(t(a)). -29596*a Let s(z) = 74*z + 1. Let x(v) = -4*v**2. Give x(s(l)). -21904*l**2 - 592*l - 4 Let o(m) = m**2. Let d(w) = -1360*w**2. Determine d(o(n)). -1360*n**4 Let n(h) be the third derivative of 2*h**2 + 0*h + 0*h**3 + 1/30*h**5 + 0 + 0*h**4. Let x(b) = -5*b**2. Give n(x(g)). 50*g**4 Let r(a) be the first derivative of 12*a**2 + 3*a + 28. Let k(y) = 2*y. Give r(k(n)). 48*n + 3 Let b(x) = -x**2. Let w(l) = 350*l. Calculate w(b(q)). -350*q**2 Let z(r) = -9*r. Let o = 15 + -12. Let t(d) = o*d + 2*d + 0*d - 4*d. Calculate t(z(l)). -9*l Let w(f) = f**2 + 9*f + 6. Let j be w(-9). Let p be (j/5)/(2/10). Let a(n) = p - 1 - 5 - 2*n. Let o(k) = 2*k. What is a(o(v))? -4*v Let s be 0 - 1*(1 - 1). Let k(t) = 5*t - 4*t + s*t. Let n(x) = 22*x**2 + 15*x**2 - 50*x**2 + 15*x**2. Determine n(k(l)). 2*l**2 Let q(p) = -94*p + 91*p - 3 + 3. Let d(f) = -8*f**2. What is d(q(u))? -72*u**2 Let b(q) be the first derivative of q**2/2 + 2. Let r(h) = 3*h + 5. Let y(g) = 2*g + 3. Let x(n) = 3*r(n) - 5*y(n). Give x(b(u)). -u Let c(u) = u**2. Let l(h) be the second derivative of -1/6*h**3 + 0*h**2 - h + 0. Give c(l(t)). t**2 Let y(w) = 2*w**2 - 2*w**2 - w**2. Let i(s) be the second derivative of 3*s + 0*s**2 + 0 + 2/3*s**3. Determine i(y(d)). -4*d**2 Let j(w) = -8*w**2 + 5*w**2 - w**2 + 3*w**2. Let i(p) = 3 - 3 - 2*p**2. What is j(i(q))? -4*q**4 Let w(p) = -15*p. Let c(k) be the first derivative of -3*k**2/2 + 8. What is w(c(q))? 45*q Let y(a) be the second derivative of a**4/4 + a**3/2 - 4*a. Let i(p) = -p**2. Determine i(y(o)). -9*o**4 - 18*o**3 - 9*o**2 Let i(a) be the third derivative of a**5/60 + 3*a**2. Let g(k) be the first derivative of 3/2*k**2 + 2 + 0*k. Calculate g(i(o)). 3*o**2 Let l(z) = 6*z. Let y(u) = -u + 1. Suppose b + 11 = 12. Let p(f) = -5*f + 4. Let x(h) = b*p(h) - 4*y(h). Give l(x(a)). -6*a Let s(w) = -11*w. Let o(l) = -l**2 - 64*l. Give s(o(q)). 11*q**2 + 704*q Let c be 3/(-6)*2*0. Let z(x) = c*x + x - 2*x. Let f(d) = -d**2 - 7 + 7. What is z(f(b))? b**2 Let l(s) = 67*s - 2. Let y(d) = -134*d + 5. Let k(a) = 5*l(a) + 2*y(a). Let t(x) = 2*x**2. Give t(k(z)). 8978*z**2 Let v(q) = -9*q - 4. Let w(t) = 10*t + 5. Let y(p) = 5*v(p) + 4*w(p). Let g be 6/(-9) + 8/3. Let x(j) = -3*j**2 - g*j**2 + 7*j**2. Determine y(x(c)). -10*c**2 Let b(p) = -9*p. Let w(t) be the first derivative of t**2 + 44. Calculate w(b(l)). -18*l Let g(a) be the third derivative of -a**4/4 + 10*a**2. Let v(m) = m**2. Give v(g(j)). 36*j**2 Let v(c) = -1. Let l(s) = s**2 - 4. Let g(d) = l(d) - 4*v(d). Let q(y) = -2*y. Give q(g(o)). -2*o**2 Let w(x) = -38*x**2. Let g(z) = 338*z**2. Give w(g(t)). -4341272*t**4 Let k(i) be the third derivative of -i**8/10080 - i**5/15 + i**2. Let g(d) be the third derivative of k(d). Let b(z) = -5*z. Give g(b(t)). -50*t**2 Let n(y) be the second derivative of 0*y**2 + 0 - 1/3*y**3 + 2*y. Let f(c) = c. What is n(f(m))? -2*m Let q(x) = 110*x**2. Let z(v) = 51*v**2. Determine z(q(r)). 617100*r**4 Let w(y) = 4*y. Let a(t) = 4*t - 20. Give w(a(m)). 16*m - 80 Let v(j) = j**2 + 3*j - 3. Let i(q) = 4*q**2 + 16*q - 16. Let k(u) = 3*i(u) - 16*v(u). Let x(y) be the second derivative of -y**4/12 - 6*y. Give k(x(h)). -4*h**4 Let i(d) = d. Let n(o) = 0*o + 3*o + 3*o - 5. Let q(z) = z - 1. Let a(l) = n(l) - 5*q(l). What is i(a(u))? u Let i(v) = -7*v. Let s(g) = 12*g**2. What is i(s(j))? -84*j**2 Let q(o) = 139*o. Let x(y) = 4*y. Give q(x(s)). 556*s Let r(p) = -5*p**2. Let t(k) = k**2. Let c(d) = d**2 - 4*d + 1. Let g be c(4). Let s(v) = g*r(v) + 3*t(v). Let m(q) = -2*q**2. Determine m(s(l)). -8*l**4 Let i(m) = 3*m. Let o(b) = b - 4. Let f(v) = 3*v - 9. Let t(z) = 4*f(z) - 9*o(z). Calculate t(i(u)). 9*u Let o(p) = 7*p**2. Let k(u) = -23*u**2. Calculate o(k(a)). 3703*a**4 Let h(m) = 2*m. Let n = -4 - -6. Let i(a) = -2*a + 0*a**2 + 2*a**n - a. Let g(p) = 3*p**2 - 4*p. Let v(y) = -3*g(y) + 4*i(y). Give h(v(b)). -2*b**2 Let v(c) = -503*c - 1. Let z(i) = 12*i**2. Give z(v(b)). 3036108*b**2 + 12072*b + 12 Let p(o) = 23*o**2 - 8. Let j(f) = -18*f**2. Give j(p(m)). -9522*m**4 + 6624*m**2 - 1152 Let k(b) = -8*b. Let l(m) be the second derivative of m**4/12 - 2*m. Calculate l(k(f)). 64*f**2 Let i(y) = -1. Let g(v) = -20*v + 8. Let d(h) = g(h) + 8*i(h). Let f(x) = -x**2. Give f(d(p)). -400*p**2 Let f(y) = 38*y**2. Let s(k) = 3*k**2. Calculate f(s(n)). 342*n**4 Suppose -3*r = -3*y - 9, 2*y - 5*y = -2*r + 7. Let h be (r - 1 - -1) + 1. Let d(q) = 3 + q - h. Let g(a) = 3*a. Determine d(g(i)). 3*i Let y(b) = 2*b. Let z(l) = -66*l. Determine z(y(t)). -132*t Let c(j) be the second derivative of j**3/3 - 5*j. Let d(s) = -s**2. Give c(d(p)). -2*p**2 Let j(f) = -162*f - 6. Let d(g) = 3*g. Calculate d(j(n)). -486*n - 18 Let u(f) = -16*f + 22*f + 40*f. Let m(q) = -2*q. Give m(u(r)). -92*r Let d(z) = -5*z**2. Let l(p) = 0*p + 6*p - 7*p. Determine d(l(a)). -5*a**2 Let z(p) = p + 7. Let y(j) = j + 6. Let c(l) = -7*y(l) + 6*z(l). Let q(b) = -7*b**2. Determine c(q(v)). 7*v**2 Let g(v) = -17*v**2. Let q(x) = 3*x**2 - 2. Let l(r) = -3*r**2 + 3. Let k(p) = 2*l(p) + 3*q(p). Give g(k(a)). -153*a**4 Let m(c) be the third derivative of -13*c**5/60 + c**2. Let n(k) = -12*k**2 + 10*k**2 - 10*k + 10*k. Calculate m(n(i)). -52*i**4 Let i(m) = m**2 + 1. Let q(d) = 10*d**2 + 8. Let r(l) = -8*i(l) + q(l). Let a(u) be the second derivative of 0*u**2 - u - 1/6*u**3 + 0. Give a(r(v)). -2*v**2 Let h(n) = 2*n**2 - 8*n**2 - 4*n**2. Let j(q) = -2*q. Calculate j(h(b)). 20*b**2 Let s(m) = 2*m. Suppose 3*u = 5*c - 1 - 2, 5*u - 11 = 3*c. Suppose -o - 1 = -c. Let t(j) = o*j + 0*j - 4*j. Calculate s(t(q)). -4*q Let t(h) = 3*h. Let y(o) = -249*o. Determine t(y(q)). -747*q Let l = 5 + -2. Let t(b) = -2 + 2 + l*b. Let h(i) = 5*i**2. Let g(r) = -r**2. Let q(d) = -4*g(d) - h(d). Give t(q(j)). -3*j**2 Let u(q) = 2*q**2. Let r be ((-27)/(-6))/(-3) - 52/(-8). Let t(z) be the third derivative of 0 + 0*z**4 + 3*z**2 + 0*z**3 + 1/10*z**r + 0*z. What is t(u(s))? 24*s**4 Let u(i) = -4*i**2. Let w(t) be the first derivative of t**3/3 + 5*t - 5. Let r(o) be the first derivative of w(o). What is r(u(c))? -8*c**2 Let u(t) = 6*t**2. Let a(s) = -s**2 - 48. What is u(a(r))? 6*r**4 + 576*r**2 + 13824 Let w(o) be the third derivative of -o**4/24 - 3*o**2. Let h(q) = -10*q - 3. Let k(z) = 91*z + 28. Let d(l) = -28*h(l) - 3*k(l). What is w(d(f))? -7*f Let s(d) = -7*d - d + 12*d - 6*d. Let m(r) be the first derivative of -4*r**3/3 - 1. What is m(s(l))? -16*l**2 Let l(c) = 9*c. Let p(s) = -2*s + 2*s + 2*s - s. Determine l(p(q)). 9*q Let c(w) = -w. Let f(k) = -13985*k. Determine f(c(v)). 13985*v Let q(j) = -7*j - 11. Let k(w) = 2*w + 3. Let i(v) = 22*k(v)
{ "pile_set_name": "DM Mathematics" }
2. 1001011001111 -161236 (base 7) to base 11 -21891 Convert -17273 (base 8) to base 15. -24e7 Convert -113613 (base 7) to base 10. -20541 What is -19689 (base 12) in base 5? -2143012 2563 (base 7) to base 11 808 Convert 5594 (base 13) to base 11. 8a85 -1b1 (base 12) to base 9 -337 435 (base 11) to base 4 20022 What is 305a (base 12) in base 2? 1010010000110 Convert -42463 (base 7) to base 4. -2210203 -45468 (base 9) to base 5 -1432100 -12023 (base 4) to base 3 -112122 Convert -1365 (base 12) to base 3. -10001212 -585 (base 9) to base 14 -266 What is 7a7b (base 12) in base 14? 4d79 What is 16000 (base 7) in base 3? 20010011 20640 (base 7) to base 4 1100010 -3212223 (base 4) to base 6 -152203 Convert -111010001010011 (base 2) to base 13. -10729 Convert -7e8 (base 15) to base 13. -a7c Convert 11111101 (base 2) to base 16. fd Convert 85b (base 12) to base 6. 5355 What is -252a9 (base 11) in base 8? -106712 Convert 3022a (base 11) to base 5. 2403242 Convert -1b7 (base 16) to base 15. -1e4 Convert -4024 (base 7) to base 6. -10234 3776 (base 8) to base 15 916 -7b09 (base 14) to base 9 -32277 Convert -725 (base 9) to base 11. -497 -a7 (base 12) to base 6 -331 -31100 (base 4) to base 8 -1520 Convert -20771 (base 9) to base 13. -634c 13516 (base 11) to base 7 110066 -56 (base 16) to base 10 -86 What is 101111110001011 (base 2) in base 10? 24459 554 (base 16) to base 6 10152 Convert -565 (base 10) to base 6. -2341 What is 8130 (base 14) in base 3? 1010102212 2021 (base 4) to base 2 10001001 217a (base 12) to base 11 2859 5644 (base 13) to base 5 341210 Convert 623 (base 9) to base 15. 23c Convert 5a8 (base 11) to base 13. 438 What is 12581 (base 9) in base 8? 20461 Convert -10100001100001 (base 2) to base 10. -10337 Convert 4b5 (base 12) to base 13. 42b -7422 (base 11) to base 13 -461a Convert 1154 (base 7) to base 8. 657 What is 10914 (base 11) in base 9? 23534 Convert -c8 (base 15) to base 6. -512 Convert -31200 (base 4) to base 11. -716 21111 (base 5) to base 15 63b -67c8 (base 13) to base 4 -3203001 What is 102310 (base 4) in base 10? 1204 2441 (base 8) to base 9 1718 Convert -14140 (base 6) to base 8. -4254 Convert -3111 (base 7) to base 5. -13321 -16a44 (base 14) to base 9 -86042 2212100122 (base 3) to base 15 11a98 Convert -1011001010 (base 2) to base 9. -873 Convert 2220112 (base 3) to base 2. 100001001000 -540 (base 6) to base 11 -176 What is 12201112 (base 3) in base 9? 5645 What is 310241 (base 5) in base 2? 10011101010111 Convert -27b (base 14) to base 7. -1314 Convert 11110110 (base 2) to base 7. 501 What is 103331 (base 4) in base 12? 8a5 -5205 (base 10) to base 13 -24a5 What is 16375 (base 8) in base 5? 214141 Convert -7519 (base 12) to base 11. -9710 -1010322 (base 5) to base 11 -11302 -11010001110011 (base 2) to base 8 -32163 828 (base 9) to base 13 3cb 6120 (base 13) to base 7 54000 Convert 101003321 (base 4) to base 3. 10112212012 14ec (base 16) to base 12 3124 Convert -182 (base 16) to base 14. -1d8 -233 (base 16) to base 12 -3ab What is -7d8 (base 15) in base 4? -123302 What is -211012 (base 3) in base 10? -599 -b90 (base 12) to base 13 -a02 Convert 2178 (base 10) to base 3. 2222200 What is -302 (base 7) in base 4? -2111 What is -1529 (base 10) in base 7? -4313 What is 101100 (base 3) in base 4? 10113 62406 (base 7) to base 16 3bbe Convert -9603 (base 10) to base 9. -14150 1079 (base 10) to base 9 1428 Convert -312022 (base 7) to base 14. -15712 Convert 3522 (base 7) to base 12. 8b6 212022212 (base 3) to base 10 17006 What is 1315 (base 6) in base 13? 1ca What is 1524 (base 6) in base 11? 345 What is -26225 (base 8) in base 7? -45163 What is -16c45 (base 15) in base 6? -1324532 What is -4dba (base 14) in base 11? -a314 What is 427 (base 14) in base 7? 2250 3545 (base 10) to base 9 4768 Convert -759 (base 11) to base 4. -32033 What is 766d (base 15) in base 13? b551 Convert -101110001 (base 2) to base 8. -561 297 (base 12) to base 9 487 Convert 2546 (base 8) to base 7. 4013 What is b161 (base 13) in base 7? 131116 What is 3615 (base 12) in base 10? 6065 Convert 112120 (base 4) to base 12. 9b4 -10234 (base 8) to base 7 -15253 -33645 (base 7) to base 11 -6481 Convert -4003313 (base 5) to base 10. -62958 What is 582 (base 15) in base 4? 103133 Convert -377 (base 12) to base 14. -295 3d9 (base 16) to base 11 816 -1214 (base 6) to base 2 -100101010 Convert 406 (base 9) to base 4. 11022 Convert -323323 (base 4) to base 14. -157d 3313 (base 6) to base 8 1375 Convert 3151 (base 12) to base 5. 133024 -174 (base 12) to base 16 -e8 What is -163005 (base 7) in base 2? -111110111110111 Convert 1333 (base 6) to base 8. 531 2d2a (base 16) to base 7 45465 What is -1001100101 (base 2) in base 6? -2501 Convert 11101001010001 (base 2) to base 15. 4654 3261 (base 7) to base 5 14140 Convert -8c (base 16) to base 5. -1030 What is -11201 (base 6) in base 13? -94c 9077 (base 11) to base 3 121112210 Convert 1b60 (base 15) to base 8. 13464 What is 111a (base 13) in base 11? 1882 Convert -7b (base 12) to base 7. -164 Convert -212134 (base 5) to base 6. -53105 Convert 100011111 (base 2) to base 13. 191 What is -322 (base 10) in base 9? -387 -6a3 (base 14) to base 4 -110213 What is -155524 (base 6) in base 15? -4907 Convert 202111 (base 3) to base 6. 2321 -2505a (base 12) to base 15 -ed07 6985 (base 10) to base 4 1231021 Convert -43203 (base 5) to base 2. -101101110000 Convert 1010011001 (base 2) to base 8. 1231 Convert 3e6 (base 16) to base 5. 12443 153540 (base 8) to base 13 1c133 Convert -7229 (base 12) to base 15. -3a2c 121 (base 8) to base 7 144 4203 (base 6) to base 12 663 -6a0 (base 12) to base 8 -1730 -2231 (base 7) to base 4 -30212 Convert 2648 (base 10) to base 16. a58 -5ded (base 16) to base 8 -56755 What is -341455 (base 6) in base 9? -43578 1054225 (base 6) to base 3 2202012022 Convert 5581 (base 11) to base 9. 11065 Convert -22001 (base 3) to base 8. -331 Convert -3010 (base 6) to base 4. -22032 What is -299 (base 10) in base 3? -102002 16452 (base 14) to base 11 3896a What is -20451 (base 6) in base 5? -42032 13c9c (base 13) to base 9 56154 What is 2740 (base 15) in base 13? 3a80 110110012 (base 3) to base 4 2031311 -29a (base 11) to base 10 -351 Convert 708 (base 14) to base 5. 21010 Convert -e029 (base 15) to base 16. -b8b9 -91ab (base 15) to base 9 -46168 -111001011000 (base 2) to base 9 -5030 What is -145c (base 14) in base 13? -1849 Convert -43271 (base 9) to base 15. -8757 Convert -724 (base 8) to base 4. -13110 What is -265 (base 13) in base 2? -110100101 5126 (base 8) to base 5 41041 Convert 83f (base 16) to base 2. 100000111111 Convert 1c2b (base 14) to base 13. 2450 Convert 2526 (base 12) to base 6. 31250 Convert 1b5 (base 14) to base 13. 214 Convert -20351 (base 6) to base 2. -101010101011 Convert 5600 (base 7) to base 11. 1567 10330 (base 4) to base 12 224 -358 (base 11) to base 8 -652 What is 537 (base 8) in base 9? 430 -2a50 (base 15) to base 8 -21563 What is c847 (base 13) in base 6? 332331 Convert -1ab (base 16) to base 12. -2b7 Convert -cc0 (base 15) to base 10. -2880 Convert 28d (base 14) to base 10. 517 1461 (base 12) to base 13 110b 13764 (base 9) to base 11 7051 9d8 (base 14) to base 16 7a2 Convert 77 (base 15) to base 11. a2 What is -323 (base 11) in base 16? -184 What is -42a3 (base 11) in base 16? -162f What is -637 (base 8) in base 5? -3130 4213 (base 6) to base 14 4b7 What is -489 (base 15) in base 5? -13104 Convert -1000110101 (base 2) to base 6. -2341 33d2 (base 16) to base 5 411031 -90f (base 16) to base 6 -14423 Convert -2722 (base 11) to base 3. -11211212 What is -13b01 (base 12) in base 2? -110101101110001 What is 1060 (base 7) in base 15? 1aa Convert 102120 (base 3) to base 6. 1240 Convert 1083 (base 9) to base 7. 2226 -10707 (base 9) to base 14 -2859 Convert -5937 (base 11) to base 15. -248e Convert -2279 (base 12) to base 3. -12021010 Convert -21100 (base 4) to base 12. -414 Convert -3011130 (base 4) to base 3. -122100000 What is -1110110 (base 2) in base 13? -91 What is -11100110010000 (base 2) in base 5? -432421 68b (base 15) to base 16 5c9 cad0 (base 16) to base 11 36010 -643 (base 9) to base 8 -1015 5b5 (base 14) to base 11 946 Convert 720 (base 8) to base 16. 1d0 Convert -132030 (base 4) to base 9. -257
{ "pile_set_name": "DM Mathematics" }
g(-7). -32 Let g(l) = l**3 + 3*l**2 - 2*l + 2. Determine g(-3). 8 Let o(d) = 40*d - 30. Calculate o(0). -30 Let d(y) = -2*y**3 - 16*y**2 - 2*y - 25. Calculate d(-8). -9 Let k(z) = z**2 - 13*z + 20. What is k(11)? -2 Let s(a) = 36*a + 3. Give s(0). 3 Let f(o) = -o**3 - 21*o**2 + 22*o + 30. Determine f(-22). 30 Let o(c) = 28*c + 193. Give o(-7). -3 Let o(u) = u**3 + 3*u**2 + 5*u + 3. Give o(-2). -3 Let m(f) = -23*f + 2. Calculate m(2). -44 Let s(t) = 22*t + 29. Calculate s(-5). -81 Let v(p) = 26*p - 187. Calculate v(7). -5 Let m(y) = -3*y**2 + 3*y + 96. Give m(-5). 6 Let h(c) = 2*c**2 - 8*c + 9. Give h(4). 9 Let u(j) = -6*j**2 - 21*j + 1. Calculate u(-4). -11 Let r(j) = j**2 + 8*j - 6. Give r(-8). -6 Let s(w) = w**3 - 16*w**2 - w + 12. Calculate s(16). -4 Let p(o) = -3*o + 44. Determine p(13). 5 Let h(a) = -3*a**3 - 15*a**2 + 3*a. Determine h(-5). -15 Let j(w) = -w**3 - 8*w**2 - 7*w - 4. Determine j(-7). -4 Let z(o) = 2*o + 37. Calculate z(-7). 23 Let a(t) = t**2 + 11. Determine a(6). 47 Let p(y) = -y**3 - 25*y**2 - 48*y - 50. Give p(-23). -4 Let k(y) = y**2 + 4*y - 14. Calculate k(-12). 82 Let p(m) = -5*m - 6. Determine p(-2). 4 Let m(q) = -3*q - 18. Determine m(-10). 12 Let q(k) = 7*k + 2. What is q(-1)? -5 Let v(c) = -c**3 - 14*c**2 - 13*c + 5. Determine v(-13). 5 Let g(h) = h**3 - 3*h**2 - 40*h. What is g(-5)? 0 Let t(a) = -9*a + 1. What is t(-3)? 28 Let j(a) = -8*a - 86. Calculate j(-7). -30 Let a(s) = 48*s**2 - 1. Give a(1). 47 Let s(v) = 2*v + 4. What is s(-3)? -2 Let a(v) = -v**3 - 3*v**2 + 4*v + 7. What is a(-4)? 7 Let b(m) = 2*m - 15. Determine b(6). -3 Let j(x) = 8*x - 60. Determine j(7). -4 Let b(t) = -2*t - 67. Calculate b(-31). -5 Let a(c) = -c**2 - 12*c - 15. What is a(-12)? -15 Let k(c) = 4*c**2 + 3*c - 4. What is k(-3)? 23 Let m(t) = -4*t - 23. Determine m(-10). 17 Let q(w) = -w**3 - 5*w**2 + 13*w - 1. What is q(-7)? 6 Let r(b) = b**2 + 6*b - 10. What is r(-6)? -10 Let p(v) = -v**2 - 7*v - 6. Calculate p(-6). 0 Let l(i) = -i - 1. Give l(2). -3 Let o(i) = 6*i - 257. Calculate o(41). -11 Let f(u) = -5*u**2 - u + 1. What is f(3)? -47 Let c(t) = 11*t - 15. What is c(7)? 62 Let h(o) = o**2 + 6*o - 39. Give h(5). 16 Let o(t) = -t**2 - 6*t + 22. Determine o(0). 22 Let h(n) = 7*n - 36. What is h(6)? 6 Let t(c) = -44*c - 351. What is t(-8)? 1 Let j(s) = s**2 + 4*s + 8. What is j(-4)? 8 Let w(h) = -h**2 + 7*h - 6. Give w(5). 4 Let n(h) = -h - 7. Calculate n(-6). -1 Let i(p) = -p**2 - 10*p - 25. What is i(-7)? -4 Let y(z) = z**3 + 12*z**2 + 12*z - 7. Give y(-11). -18 Let n(m) = -2*m - 1. Calculate n(0). -1 Let r(m) = m**3 - 33*m**2 + 31*m + 28. Determine r(32). -4 Let f(v) = -6*v - 29. Determine f(-5). 1 Let l(m) = -m. Determine l(12). -12 Let y(f) = -16*f + 6. Determine y(2). -26 Let a(x) = 2*x - 2. What is a(5)? 8 Let n(y) = -y**2 + 12*y + 2. Determine n(13). -11 Let k(g) = -4*g**2 - 5*g + 1. Calculate k(-4). -43 Let v(f) = -f**2 - 4*f + 10. What is v(-4)? 10 Let w(b) = -2*b + 24. What is w(13)? -2 Let c(f) = -f**3 + 8*f**2 + 11*f - 29. What is c(9)? -11 Let v(b) = 33*b**3 + b**2 - 1. What is v(-1)? -33 Let u(j) = j - 16. Give u(10). -6 Let y(p) = 9*p - 58. What is y(7)? 5 Let g(v) = -v**2 + v - 21. Determine g(7). -63 Let q(p) = p**2 + 3*p - 2. Determine q(-5). 8 Let b(m) = m**2 + 21*m + 50. Give b(-15). -40 Let y(x) = -2*x**3 + 2*x**2 + 4*x - 1. Calculate y(2). -1 Let g(k) = -k**3 - 3*k**2 + 11*k - 12. Give g(2). -10 Let y(o) = 4*o + 3. Determine y(-3). -9 Let l(k) = 21*k + 102. What is l(-5)? -3 Let q(g) = -60*g - 66. Calculate q(-3). 114 Let j(o) = -7*o + 5. Calculate j(-7). 54 Let y(a) = a**2 + 6*a + 6. What is y(-8)? 22 Let w(d) = -d**2 - 4*d - 1. Give w(-5). -6 Let a(s) = -s**3 + 18*s**2 + 13. What is a(18)? 13 Let s(u) = u**3 - 8*u**2 - 10*u + 16. Determine s(5). -109 Let u(h) = -74*h - 370. Calculate u(-5). 0 Let n(k) = -k**2 + 2*k - 2. Determine n(-5). -37 Let w(c) = -2*c**2 - 8*c - 3. Determine w(-6). -27 Let w(z) = z**3 - 15*z**2 - 6*z + 86. Determine w(15). -4 Let x(q) = 4*q + 21. What is x(-13)? -31 Let y(d) = -17*d + 672. Give y(40). -8 Let s(r) = r**2 - 4*r. Give s(4). 0 Let s(d) = d + 23. Calculate s(13). 36 Let f(l) = -l**2 + 7*l + 9. What is f(-2)? -9 Let v(x) = x**3 + 18*x**2 - 22*x - 24. Give v(-19). 33 Let r(v) = -v**3 + 8*v**2 - v - 18. What is r(8)? -26 Let s(x) = x**2 + 10*x + 18. What is s(-7)? -3 Let s(y) = 5*y + 123. Calculate s(-26). -7 Let t(o) = -o**2 - 17*o - 11. What is t(-15)? 19 Let g(v) = -v - 59. Determine g(-13). -46 Let p(b) = -b**3 + b**2 + 3*b + 2. Determine p(-2). 8 Let s(z) = -3*z - 8. Give s(-4). 4 Let k(a) = 3*a. Give k(1). 3 Let c(g) = 7*g - 5. What is c(5)? 30 Let x(p) = -p**2 + 1. What is x(2)? -3 Let o(x) = x**3 + x**2 - 2*x + 4. What is o(0)? 4 Let i(t) = t**3 + 5*t**2 - 3*t - 13. What is i(-5)? 2 Let o(s) = 18*s - 2. Determine o(-3). -56 Let k(c) = -c**2 - 28*c - 88. What is k(-3)? -13 Let i(c) = c**3 + 9*c**2 - 2*c - 11. What is i(-9)? 7 Let d(i) = i**2 - 4*i - 6. Give d(6). 6 Let o(n) = 2*n**2 - 7*n - 23. Determine o(-5). 62 Let f(z) = -z**3 + 10*z**2 - 8*z - 11. Calculate f(9). -2 Let v(b) = b**2 - 3*b. What is v(3)? 0 Let l(j) = j**2 - 2*j - 13. Determine l(-3). 2 Let v(o) = 29*o + 263. Give v(-9). 2 Let r(k) = k**3 + 8*k**2 + 15*k + 48. What is r(-7)? -8 Let a(s) = s + 2. Give a(-14). -12 Let n(t) = -t + 14. Determine n(9). 5 Let k(n) = -n + 12. Calculate k(14). -2 Let y(c) = -c - 12. Calculate y(9). -21 Let f(r) = -r**3 + 4*r**2 + 16*r - 12. Calculate f(6). 12 Let l(x) = 80*x - 165. Calculate l(2). -5 Let p(c) = -c**3 - 27*c**2 - 52*c - 56. What is p(-25)? -6 Let r(i) = -19*i + 211. Give r(10). 21 Let o(f) = f**3 - 13*f**2 - 14*f + 6. Give o(14). 6 Let d(p) = -4*p + 21. Determine d(6). -3 Let t(c) = -2*c**2 + 2*c - 2. Give t(3). -14 Let s(a) = 9*a - 57. What is s(7)? 6 Let w(z) = -2*z - 11. Give w(-8). 5 Let m(t) = -t**3 - 13*t**2 + 6*t + 17. Calculate m(-13). -61 Let y(b) = 12*b + 25. Calculate y(-2). 1 Let t(y) = 3*y**2 + 6*y - 16. Give t(2). 8 Let o(w) = -34*w - 142. Calculate o(-4). -6 Let u(a) = -7*a - 84. Determine u(-13). 7 Let v(d) = 13*d - 1. Give v(1). 12 Let n(m) = -13*m**3 + m**2 - 1. What is n(1)? -13 Let c(r) = -3*r**3 - 3*r**2 + 2*r + 4. Determine c(-3). 52 Let m(o) = 2*o**2 + 2. Give m(2). 10 Let z(b) = -b**2 + 5*b - 4. Give z(10). -54 Let z(b) = -4*b + 94. Determine z(22). 6 Let n(c) = -c**2 - c + 36. Give n(6). -6 Let i(v) = v**3 + 2*v**2 + 4*v - 1. Calculate i(-5). -96 Let j(n) = 14*n + 3. Calculate j(-4). -53 Let t(a) = a**3 - 9*a**2 + 10*a + 3. Give t(8). 19 Let p(w) = -w**2 + 12*w + 3. Give p(7). 38 Let m(h) = -h**2 - 2*h + 14. Calculate m(0). 14 Let m(z) = -z**2 - 7*z + 4. Give m(-5). 14 Let l(b) = b - 47. What is l(-6)? -53 Let y(z) = -39*z + 426. Give y(11). -3 Let h(j) = -43*j**2 - 4*j + 5. Determine h(2). -175 Let o(u) = 31*u**3 - u. What is o(1)? 30 Let w(c) = -c**2 - 18*c + 18. What is w(-18)? 18 Let n(v) = -42*v. Give n(3). -126 Let c(n) = 6*n**2 + n. Determine c(-1). 5 Let o(u) = u**3 + 3*u**2 + 4*u - 1. Calculate o(-3). -13 Let m(k) = 6*k - 49. Calculate m(7). -7 Let j(v) = v**3 - v**2 - 33. Determine j(0). -33 Let n(j) = j**3 - 3*j**2 + j + 1. Give n(3). 4 Let q(b) = -b**2 - 17*b + 15. What is q(-18)? -3 Let n(f) = 47*f - 96. Give n(2). -2 Let d(m) = m**2 + 2*m - 8. What is d(3)? 7 Let y(p) = -p**3 + 5*p**2 + p - 4. What is y(6)? -34 Let p(c) = c**2 - 10*c - 29. Determine p(13). 10 Let i(x) = -2*x**3 + 14*x**2 + 12*x - 79. What is i(7)? 5 Let n(m) = -m**3 + 14*m**2 + 14*m + 6. Calculate n(15). -9 Let n(v) = -v**2 - 4*v + 8. Calculate n(-7). -13 Let j(q) = q**2 + 63*q - 251. What is j(4)? 17 Let f(v) = -3*v - 34. Calculate f(-11). -1 Let a(f) = f**3 + 21*f**2 + 21*f + 19. What is a(-20)? -1 Let b(d) = -2*d**2 + 13*d - 11. Give b(6). -5 Let n(i) = -i**2 + 10*i - 16. Give n(7). 5 Let v(k) = k**2 - k + 3. Determine v(0). 3 Let w(r) = -5*r - 133. Give w(-31). 22 Let q(p) = 2*p**3 - 5*p + 3. What is q(3)? 42 Let t(b) = -b**3 + 11*b**2 + 13*b - 15. Give t(12). -3 Let p(i) = i**2 - 16*i + 30. What is p(15)? 15 Let x(n) = -n**3 - 4*n**2 + 12*n + 1. Determine x(-6). 1 Let m(i) = i**2 + 26*i - 142. Determine m(5). 13 Let b(j) = j**2 - j - 3. What is b(2)? -1 Let i(a) = -12*a. Give i(-12). 144 Let h(p) = -p**2 + 10*p. Calculate h(10). 0 Let x(z) = z**3 +
{ "pile_set_name": "DM Mathematics" }
= -n + 35. Let o = n + -26. Calculate the remainder when o is divided by 18. 14 Let x(k) = -8*k + 29. Let w be x(3). Calculate the remainder when 112 is divided by (2 - (w + 26))*-1. 25 Let h = 40 + -36. Let b be (h - 3) + (-3 - 1). What is the remainder when 10 is divided by (b/(-18)*4)/((-1)/(-3))? 0 What is the remainder when 292 is divided by 20592/5280 - 1/(-10)? 0 Let z be 0 + 4 + -1 + 1. Let f = z + 5. Let l = 1539 + -1514. Calculate the remainder when l is divided by f. 7 Let v = -245 + 242. Let p(g) = -2*g**3 + 3*g**2 + 8*g + 6. Calculate the remainder when p(v) is divided by 22. 19 Let w = 8972 + -8953. What is the remainder when 2412 is divided by w? 18 Suppose 3*o + 48*l - 332 = 44*l, -5*l = 4*o - 442. Calculate the remainder when 358 is divided by o. 34 Let j = 2034 - 1970. Calculate the remainder when 4092 is divided by j. 60 Let f(q) = q**3 - 27*q**2 + 19*q + 197. Let w(p) = -6*p + 34. Calculate the remainder when f(26) is divided by w(4). 5 Suppose -3*r = 79*n - 75*n - 57, -5*r + 73 = 3*n. What is the remainder when 186 is divided by r? 10 Let f(l) = 2*l**2 - 14*l + 6. Let o be f(10). Let t = -56 + o. Suppose -t = 4*z - 374. What is the remainder when z is divided by 23? 22 Suppose 18 = 2*x + 4*x. Suppose 0 = -2*u + 3*p - 4*p + 372, 3*u + x*p = 552. Suppose -4*w + u = -136. What is the remainder when w is divided by 12? 9 Suppose 0 = 24*o - 25*o - u + 134, -4*u = -o + 149. What is the remainder when o is divided by 20? 17 Calculate the remainder when 113 is divided by ((-1)/(-8))/(5/3560). 24 Suppose n - 4 = -z, -3*n + 33 - 21 = -5*z. Suppose 79 = -n*x - r + 247, 0 = x - 3*r - 42. What is the remainder when 83 is divided by x? 41 Let w(d) = 42*d**2 - 135*d + 400. Calculate the remainder when w(3) is divided by 167. 39 Let i(k) = -k**3 - 5*k**2 - 18*k - 49. Let g be i(-10). Suppose 25*v = 244 + g. What is the remainder when (-1)/(2 + 414/(-206)) is divided by v? 33 Let y = -1248 - -1252. Let w = 187 + -172. Calculate the remainder when w is divided by y. 3 Suppose 1355 - 7025 = -21*u. Let p = -257 + u. What is the remainder when 17 is divided by p? 4 Let m(g) = -1505*g + 108457. Let z = 0 - -1. What is the remainder when m(72) is divided by 0 - 0 - (-13 - z)? 13 Let b(o) = o**3 + 7*o**2 - 3*o - 7. Suppose 21 - 17 = -v + 2*y, -v + 4*y = 24. Calculate the remainder when b(-5) is divided by v. 10 Let s be (-4)/42 + (7 - (-14960)/84). Let z = 593 + s. Calculate the remainder when z is divided by 39. 37 Let k(v) = 91*v**2 - 6*v + 7. Let l be k(1). Suppose -4*j - 69 = -3*t + 20, 3*t - j = l. What is the remainder when t is divided by (-5)/(2/8*-2)? 1 Suppose -2*q = -3*q + 14. What is the remainder when -1 + (16/2 - 3 - -20) is divided by q? 10 Suppose -5*m - 8 = -23. Suppose -5*u = -m*d + 46, -6 = -3*u - 3. Calculate the remainder when d is divided by ((-25)/(-10))/(11/44). 7 Let p(y) = -22*y - 16 + 3 - 2 + 35*y. Calculate the remainder when p(8) is divided by 18. 17 Let y = 50 - 46. Suppose -k + 5 = y*k. What is the remainder when (-582)/(-9)*(k - (-4)/8) is divided by 25? 22 Let o(r) = 38*r + 50. Let t be o(-4). Let y = -91 - t. What is the remainder when 27 is divided by y? 5 Suppose -17 = -k - d, 78*k - 74*k = 2*d + 50. Calculate the remainder when 894 is divided by k. 12 Let s be 30534/98 + (-6)/(-14). Suppose -28*r + 52 = -s. What is the remainder when -6*1*31/(-3) is divided by r? 10 Let l = -676 - -679. Suppose 20*n = 22*n + 2*f - 144, -5*f + 206 = l*n. Calculate the remainder when n is divided by 43. 34 Let s(o) = -o**3 - 10*o**2 - 4*o - 129. Calculate the remainder when 1124 is divided by s(-11). 8 Let z be (-1 - 51/9)*(-504)/60. Suppose -6*r + 136 = -z. What is the remainder when -3*(-29 + (0 - 2)) is divided by r? 29 Let b(a) = -4*a**2 - 35*a + 434. Calculate the remainder when 542 is divided by b(-15). 11 Suppose -4*w - w + 15 = q, -4*w - q = -11. Let z = -129 - -39. Let r = z - -95. Calculate the remainder when r is divided by w. 1 Let q(u) = -11*u. Let t be q(3). Let k be 1 + 6 + t/11. Calculate the remainder when 2/(-4) + 226/k is divided by 15. 11 Let v(n) be the first derivative of -3*n**4/4 - n**3 + n**2/2 + 8*n - 122. What is the remainder when v(-4) is divided by 17? 12 Let l(o) = -o**2 + 54*o + 1356. Calculate the remainder when l(64) is divided by 355. 6 Let d = 702218 + -702048. Calculate the remainder when d is divided by (2 - -23)/(1 + 0). 20 Let d = -1515 - -2153. Suppose -10*k = k - d. Suppose -h - 3 = -24. Calculate the remainder when k is divided by h. 16 Calculate the remainder when 162 is divided by (-4)/5 + ((-2832)/(-60))/4. 8 Let y = 5870 - 5638. What is the remainder when y is divided by 133? 99 Suppose 2*q = q - 2*l + 25, -4*q = 2*l - 70. Suppose 39*r = 34*r + q. Calculate the remainder when 17 is divided by r. 2 Calculate the remainder when 410 is divided by 4/(-22) + 223380/561 - -6. 6 Calculate the remainder when 2*(-268)/(-8)*1 is divided by 54 + (-3*1 - 20/70*-7). 14 Calculate the remainder when 796 is divided by ((-65)/(-4))/(((-500)/(-150))/(32/6)). 16 Let y be 88/(-220) + (-184)/(-10). Suppose y*w - 1820 + 452 = 0. Calculate the remainder when 163 is divided by w. 11 Let g be ((-84)/224)/((-2)/16). Suppose -131 = -g*i + 5*k, k - 17 + 60 = i. Calculate the remainder when i is divided by 26. 16 What is the remainder when (1/2)/(3 + -1731*(-153)/(-88290)) is divided by 21? 18 Let l(w) = -w**3 + 7*w**2 - 10*w. Calculate the remainder when 476 is divided by l(3). 2 Let q(l) = -23 + 0 + 2 + 38*l - 11. Calculate the remainder when 128 is divided by q(2). 40 Let a(k) = 7*k - 14. Let m be a(0). Let r(s) = -5*s + 40. Let i(u) = 2*u - 13. Let b(x) = -11*i(x) - 4*r(x). Calculate the remainder when 43 is divided by b(m). 10 What is the remainder when 103 is divided by -8 + ((-1)/2 - -1)/((-196)/(-17248))? 31 Suppose -207 + 217 = -5*c. What is the remainder when (1/(-1) + 2)/(c/(-8)) is divided by 1? 0 Let n(l) = 13*l**2 - l + 6. Let u be n(-3). Suppose -6*p = 3*p - u. What is the remainder when 83 is divided by p? 13 Let u = -43006 + 43673. Calculate the remainder when u is divided by 91. 30 Suppose 5*n - 1061 = -4*s + 271, -4*n = -5*s + 1665. What is the remainder when s is divided by 22? 3 Let g be (135/(-15))/(2*(-3)/4). Calculate the remainder when 49 is divided by 54/7 - (g - 176/28). 1 Let v(g) = -158*g - 187. Calculate the remainder when v(-4) is divided by 156. 133 Let n(u) = -1 - u - 14*u**2 - 3 + 12*u**2 - 6*u**3. Suppose -12 = 2*x + 4*x. Calculate the remainder when 109 is divided by n(x). 33 Let s(o) = 8*o + 24. Let y be s(-5). What is the remainder when (-1)/(y/1192) - 2/(-4) is divided by 16? 11 Let i be 146/4 - (3/(-6))/(-1). Let w = -33 + i. Suppose 55 = 5*p + 3*g, w*p - 3*g - 33 = -5*g. Calculate the remainder when 21 is divided by p. 10 Suppose -4*o + 15*j + 744 = 17*j, 2*o + 5*j = 356. Let s = 100 + o. Calculate the remainder when s is divided by 17. 16 Suppose 2*j - j = -2, -p = -4*j - 47. Calculate the remainder when 150 is divided by p. 33 Let p be (-4)/(-6)*((-68)/8 + 10). Calculate the remainder when 30 is divided by 3*((-17)/(-3))/p. 13 Suppose 181*i - 22*i + 2*i = 7245. What is the remainder when 1318 is divided by i? 13 Let n = 190193 + -190187. Let v(w) = -w**2 + 8*w - 5. Let g be v(7). What is the remainder when n is divided by 2*g + (-1 - -2)? 1 Let b(g) = -3 + 901*g + g**2 - 902*g - 4. Let z be b(4). Suppose 0 = 2*c - 17 + z. What is the remainder when c is divided by 1? 0 Let f(d) = -3*d - 10*d + 2*d**2 - 68 - 17*d + d. Calculate the remainder when 28 is divided by f(17). 11 Let o = -535 + 561. What is the remainder when o/(-65) - ((-2376)/(-15))/(-1) is divided by 53? 52 Let a = -766 - -763. Let s(f) = 9*f**2 - 10*f - 12. Let x = -3 + 8. What is the remainder when s(a) is divided by x? 4 Suppose 0*j = -j + 20. Let g(q) = 3*q**3 + 5*q**2 - 2*q - 5. Let o be g(-2). What is the remainder when j is divided by 590/50 + (-1)/o? 8 Let z be (-164)/6*(-2 + 5). Let m = 119 - z. Suppose 3*x - m = 5*n, x - 201 = -2*x - 5*n. Calculate the remainder when x is divided by 24. 19 Let m = 8679 - 8659. Calculate the remainder when 4997 is divided by m. 17 Suppose -5 = -2*r - 3*b - 3, -4*b - 8 = 0. Let s(t) = 10*t**2 + 8*t - 15. What is the remainder when s(r) is divided by 47? 36 Let
{ "pile_set_name": "DM Mathematics" }
cking 1 c and 1 m when two letters picked without replacement from cmkmrss? 2/21 Calculate prob of picking 2 e when two letters picked without replacement from {e: 10}. 1 Three letters picked without replacement from llkkkpkkkkkpkk. What is prob of picking 2 k and 1 l? 45/182 What is prob of picking 1 e, 1 g, and 1 m when three letters picked without replacement from {j: 3, g: 4, e: 1, h: 2, m: 3, k: 2}? 12/455 What is prob of picking 1 g, 1 t, and 1 u when three letters picked without replacement from usqggqxtu? 1/21 Calculate prob of picking 1 q, 1 g, and 1 z when three letters picked without replacement from {i: 2, z: 2, g: 6, q: 3, l: 1, j: 4}. 3/68 What is prob of picking 2 e and 2 r when four letters picked without replacement from meeermirrs? 3/70 Four letters picked without replacement from hssshhns. Give prob of picking 2 s and 2 h. 9/35 Calculate prob of picking 1 i and 1 b when two letters picked without replacement from iykkyyixkkkibbkky. 3/68 Three letters picked without replacement from qqqq. What is prob of picking 3 q? 1 What is prob of picking 1 n and 1 i when two letters picked without replacement from enhihra? 1/21 What is prob of picking 1 i and 1 h when two letters picked without replacement from {i: 12, h: 1}? 2/13 Four letters picked without replacement from ononwlononwnwd. What is prob of picking 1 w, 1 d, 1 o, and 1 n? 60/1001 Calculate prob of picking 1 e, 1 x, and 1 d when three letters picked without replacement from dsqzsdxqqzsxedsdz. 1/85 Two letters picked without replacement from nndddn. Give prob of picking 1 d and 1 n. 3/5 What is prob of picking 2 v when two letters picked without replacement from {x: 7, v: 2, q: 7, d: 1}? 1/136 What is prob of picking 1 o and 1 n when two letters picked without replacement from {s: 1, n: 3, o: 11}? 11/35 What is prob of picking 3 b when three letters picked without replacement from {b: 15, v: 5}? 91/228 Calculate prob of picking 1 n, 1 s, and 1 i when three letters picked without replacement from {n: 1, w: 1, s: 1, v: 1, i: 2, f: 1}. 2/35 Two letters picked without replacement from fmwwffwfffwwwwwwmw. Give prob of picking 2 f. 5/51 What is prob of picking 2 i when two letters picked without replacement from ibiribiirfrrriiibr? 28/153 Calculate prob of picking 4 w when four letters picked without replacement from ywywywy. 0 Two letters picked without replacement from {r: 10, h: 4, b: 2}. Give prob of picking 2 r. 3/8 Four letters picked without replacement from ccrccrrccccrccccrcr. Give prob of picking 4 c. 715/3876 Three letters picked without replacement from rrrrrr. Give prob of picking 3 r. 1 Two letters picked without replacement from {r: 2, t: 1, z: 4, k: 1}. Give prob of picking 1 k and 1 z. 1/7 Two letters picked without replacement from {u: 3, e: 7}. Give prob of picking 1 u and 1 e. 7/15 Three letters picked without replacement from {a: 2, l: 6}. What is prob of picking 1 l and 2 a? 3/28 Four letters picked without replacement from mxeemxgmexz. What is prob of picking 1 z and 3 e? 1/330 Calculate prob of picking 1 o, 1 b, 1 w, and 1 g when four letters picked without replacement from pgwwigbiiwwpbpoiii. 4/765 Four letters picked without replacement from {l: 4, x: 5, p: 2}. What is prob of picking 4 l? 1/330 What is prob of picking 1 w and 2 l when three letters picked without replacement from hlhwhqmahlwhmmh? 2/455 What is prob of picking 1 d and 1 g when two letters picked without replacement from {c: 6, j: 3, d: 4, k: 1, g: 1, r: 4}? 4/171 Three letters picked without replacement from wsxjssijxilxwx. What is prob of picking 1 w, 1 j, and 1 i? 2/91 Three letters picked without replacement from {t: 3, y: 2, q: 10}. Give prob of picking 2 q and 1 t. 27/91 Calculate prob of picking 2 q, 1 f, and 1 l when four letters picked without replacement from {f: 2, s: 1, b: 1, h: 2, l: 5, q: 2}. 2/143 What is prob of picking 1 o and 1 m when two letters picked without replacement from oelleomoleeeo? 2/39 Two letters picked without replacement from egajpaeejeeeaepeeee. What is prob of picking 2 p? 1/171 Calculate prob of picking 4 d when four letters picked without replacement from mimid. 0 Three letters picked without replacement from {d: 1, c: 1, e: 1, u: 4, b: 2, a: 3}. What is prob of picking 1 d, 1 c, and 1 a? 3/220 Two letters picked without replacement from {n: 1, g: 10, y: 3, s: 1}. What is prob of picking 1 s and 1 g? 2/21 What is prob of picking 2 x, 1 l, and 1 b when four letters picked without replacement from xxltlxllbxllxxbxxxtx? 36/323 Two letters picked without replacement from {k: 7, l: 2}. What is prob of picking 2 l? 1/36 Two letters picked without replacement from {m: 3, g: 4, d: 2}. Give prob of picking 2 m. 1/12 Two letters picked without replacement from esssessssss. What is prob of picking 2 s? 36/55 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {v: 1, c: 1, q: 2, e: 1}. 1/5 Three letters picked without replacement from {z: 5, e: 2}. What is prob of picking 2 e and 1 z? 1/7 Three letters picked without replacement from uttutu. Give prob of picking 2 t and 1 u. 9/20 Calculate prob of picking 1 v, 1 g, and 1 b when three letters picked without replacement from {b: 4, v: 2, h: 2, g: 2}. 2/15 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 8, t: 1, j: 4, p: 3, b: 3}. 32/171 Calculate prob of picking 1 b, 1 u, and 1 z when three letters picked without replacement from bzguugd. 2/35 Two letters picked without replacement from ogpgddojdpud. Give prob of picking 1 u and 1 g. 1/33 Four letters picked without replacement from {g: 3, l: 5, z: 4, d: 1}. Give prob of picking 2 l, 1 z, and 1 d. 8/143 Calculate prob of picking 1 d, 1 x, and 1 q when three letters picked without replacement from qqzqdzzhdqxxxqq. 36/455 What is prob of picking 2 v when two letters picked without replacement from {q: 1, j: 1, d: 6, v: 3, x: 6, k: 1}? 1/51 What is prob of picking 1 t and 1 p when two letters picked without replacement from ttpkktttkkpkkkktk? 3/34 Two letters picked without replacement from {i: 1, x: 2, m: 2, p: 6}. Give prob of picking 1 x and 1 p. 12/55 Two letters picked without replacement from ueusu. Give prob of picking 1 u and 1 e. 3/10 Three letters picked without replacement from kkrkcprrvkkrpuk. What is prob of picking 2 p and 1 v? 1/455 Two letters picked without replacement from fpplpopoopx. What is prob of picking 1 x and 1 f? 1/55 What is prob of picking 1 w and 1 o when two letters picked without replacement from {u: 2, w: 1, o: 1, r: 3}? 1/21 Three letters picked without replacement from {j: 1, g: 6, o: 2, p: 3}. What is prob of picking 1 o, 1 p, and 1 g? 9/55 Two letters picked without replacement from sysbfsouufyyu. What is prob of picking 1 y and 1 b? 1/26 Three letters picked without replacement from {l: 3, j: 17}. Give prob of picking 3 l. 1/1140 Two letters picked without replacement from aajajjaajjja. Give prob of picking 1 j and 1 a. 6/11 What is prob of picking 3 g and 1 r when four letters picked without replacement from ggggrggg? 1/2 Two letters picked without replacement from {q: 1, n: 18}. What is prob of picking 1 n and 1 q? 2/19 What is prob of picking 2 g when two letters picked without replacement from {k: 6, g: 4, n: 1, b: 2, p: 1, y: 1}? 2/35 Four letters picked without replacement from {b: 6, z: 2, l: 4}. What is prob of picking 3 l and 1 z? 8/495 What is prob of picking 1 p and 2 i when three letters picked without replacement from {n: 10, p: 2, i: 3}? 6/455 Calculate prob of picking 2 g when two letters picked without replacement from pggtlje. 1/21 Calculate prob of picking 1 o, 1 q, and 1 l when three letters picked without replacement from {z: 3, q: 5, o: 2, l: 3}. 15/143 Two letters picked without replacement from {w: 1, f: 1, v: 7, x: 3, s: 2}. What is prob of picking 1 f and 1 x? 3/91 What is prob of picking 2 l and 2 j when four letters picked without replacement from cclljxljmj? 3/70 Calculate prob of picking 1 b, 1 d, and 1 o when three letters picked without replacement from {g: 10, z: 2, b: 6, o: 1, d: 1}. 1/190 Two letters picked without replacement from ddxxx. Give prob of picking 2 x. 3/10 Calculate prob of picking 1 p, 1 g, 1 u, and 1 c
{ "pile_set_name": "DM Mathematics" }
qrt(88)/sqrt(4)*2)/(sqrt(132)/(sqrt(24)/sqrt(2))*-1). -4*sqrt(2) Simplify (-5*sqrt(70)/(sqrt(14)/sqrt(2)))/(sqrt(20)/(sqrt(16) - sqrt(4)) + sqrt(5) - (sqrt(5) + sqrt(45))*2). 5*sqrt(2)/6 Simplify (-4*-2*sqrt(132))/sqrt(12) - (3 + 4*(sqrt(99) + sqrt(11))). -8*sqrt(11) - 3 Simplify (4 + -2 + sqrt(2448) - sqrt(2448)) + (-3 + sqrt(2448))*-1. -12*sqrt(17) + 5 Simplify -5*(sqrt(171)/(sqrt(18)/(sqrt(2) - sqrt(18))) - (-2*sqrt(19) + -4 + (2*sqrt(76))/sqrt(4))). -20 + 10*sqrt(19) Simplify -1 + (5*sqrt(95)/sqrt(5))**2 + (-4*sqrt(76) - (sqrt(304) + 1 + sqrt(304))**2). -743 - 24*sqrt(19) Simplify 1*(-1*sqrt(288)*-2)**2 + (sqrt(22)/(sqrt(11)*-1) - (-5 + (sqrt(2)*1)**2)) + -4. -sqrt(2) + 1151 Simplify (1*-6*((sqrt(112) - -6*(sqrt(112) + -1)) + 1*sqrt(112) + 0))**2. -13824*sqrt(7) + 259344 Simplify (3 + (sqrt(204) - (-2*sqrt(204)*1 + sqrt(204) + sqrt(204) + sqrt(204)))/sqrt(12) + 0 + -1*sqrt(17)*6)**2. -36*sqrt(17) + 621 Simplify ((sqrt(66) - (sqrt(66) - -1*sqrt(66) - sqrt(66))*6)*3)/(-1*-1*sqrt(96)). -15*sqrt(11)/4 Simplify (((sqrt(78) + (sqrt(78) - sqrt(78)*-1) + sqrt(78) - sqrt(78))*1 - sqrt(78))*3)/(-4*(sqrt(66)*1)/sqrt(11)). -3*sqrt(13)/2 Simplify -2 + (sqrt(143)/(2*sqrt(44))*5)**2. 293/16 Simplify 4*((sqrt(4) + sqrt(100)*-4 + sqrt(4) - sqrt(4))/(sqrt(32)/sqrt(4))*-1)**2. 722 Simplify -3*((sqrt(5) - sqrt(20)/sqrt(324) - sqrt(5))**2 + sqrt(320) + 3). -24*sqrt(5) - 248/27 Simplify (2 + (1*sqrt(1872))**2 + (sqrt(1872) - (((sqrt(1872) + -1 + sqrt(1872))*4 - sqrt(1872)) + sqrt(1872))**2) + 5)*-6. -4680*sqrt(13) + 707670 Simplify 4*(sqrt(150)/((sqrt(15)/sqrt(3) + sqrt(5))*-6))/(sqrt(384)*1 + sqrt(30)/(sqrt(10)/sqrt(2))). -sqrt(5)/27 Simplify (2*3*sqrt(77) - sqrt(77))/(sqrt(1584) + sqrt(1584)*-3 - sqrt(1584) - sqrt(1584)). -5*sqrt(7)/48 Simplify -1 + (sqrt(500) - ((sqrt(500) + -2*sqrt(500) - sqrt(500))*2 + sqrt(500)))*6. -1 + 240*sqrt(5) Simplify -4*(sqrt(117) + -1)**2*6 + (sqrt(117) + 1 + -2 + sqrt(117) + (sqrt(117) + 1)*1)**2. -1779 + 144*sqrt(13) Simplify -6*(sqrt(147) + 0)*-6 + 2. 2 + 252*sqrt(3) Simplify (((1 + (sqrt(1053) - (0 + sqrt(1053) + -4)))*5 + 1)*2)**2. 2704 Simplify (-5*-1*sqrt(104))/(sqrt(8) - (sqrt(96) + sqrt(96)*1)/sqrt(12)) - ((1*sqrt(143))/sqrt(11) - ((sqrt(13) + 2 + sqrt(13))**2*3 + sqrt(13))). 19*sqrt(13) + 168 Simplify (sqrt(104)*-1*2 - 2*sqrt(104)*4)/(-1*sqrt(8)*3 + sqrt(16)/sqrt(2)*-4). 10*sqrt(13)/7 Simplify (2*(-3*-3*(sqrt(1573) + 0) + -3))**2 + 0. -2376*sqrt(13) + 509688 Simplify ((2*(sqrt(39) + sqrt(39)*-3) + sqrt(39))*5)/(sqrt(9)/sqrt(3)*2 - sqrt(192)*1). 5*sqrt(13)/2 Simplify (sqrt(3) + -5*sqrt(9)/sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3) + (sqrt(3) - (sqrt(18)/sqrt(6))**2) + -3 + (sqrt(192))**2 + 2 + sqrt(432). 8*sqrt(3) + 188 Simplify 1*-6*4*(sqrt(931) + 2)*-5. 240 + 840*sqrt(19) Simplify (((-2*sqrt(198))/sqrt(2))**2 - -6*(sqrt(396) - (0 + sqrt(396)))) + 2. 398 Simplify (3 + 3*(sqrt(19) + 1) + 4*(sqrt(475) + 2))**2. 644*sqrt(19) + 10247 Simplify sqrt(35)/(sqrt(7) - sqrt(1008)/sqrt(4)) + 6*(2 + sqrt(500)). 12 + 299*sqrt(5)/5 Simplify sqrt(45)/(sqrt(9) + sqrt(72)/(sqrt(16)/sqrt(2)) - sqrt(9)) + 3 + sqrt(30)/sqrt(96). 5*sqrt(5)/4 + 3 Simplify (sqrt(40)/sqrt(4)*4 - (1*sqrt(120))/sqrt(12))/(sqrt(40)/(-4*-1*sqrt(8))). 12*sqrt(2) Simplify (sqrt(45)/(sqrt(576)*-1) + (sqrt(75)/sqrt(3))/sqrt(5)*3)*-1. -23*sqrt(5)/8 Simplify 6*(-1 + sqrt(275) + sqrt(11) - (-1*sqrt(99))**2) + (-2*(sqrt(396) - sqrt(396)*-2)*3)**2. 36*sqrt(11) + 127704 Simplify 4 + (3 + -2 + sqrt(288))**2 - (sqrt(6)/sqrt(3)*-4 + sqrt(2) + -2*sqrt(4)/sqrt(2)). 29*sqrt(2) + 293 Simplify (sqrt(80) - (sqrt(80) + 2*sqrt(80)*3))/(sqrt(1440)*-4 + sqrt(1440) - sqrt(1440)). sqrt(2)/4 Simplify (-2 + -3*sqrt(200))**2*-2 + 0. -3608 - 240*sqrt(2) Simplify -5*(-3*(3 + sqrt(288)*3))**2. -117045 - 9720*sqrt(2) Simplify (-1*sqrt(8)*3)/(sqrt(16)/(sqrt(4) - sqrt(4)*-1)) - (sqrt(20)/sqrt(2)*4)/(sqrt(125)*-2). -28*sqrt(2)/5 Simplify (-2 + ((sqrt(1088)*3 - sqrt(1088)) + 4 + (sqrt(1088) + -1 - sqrt(1088))*4 + sqrt(1088))*-3)**2. 288*sqrt(17) + 88132 Simplify (sqrt(156)*3*-6)/(sqrt(12)*-2*6). 3*sqrt(13)/2 Simplify (5 + -2 + 0 + -1*-1*sqrt(300)*-3)**2. -180*sqrt(3) + 2709 Simplify (((sqrt(612) - -4*sqrt(612)) + sqrt(612) - sqrt(612))*3 + (sqrt(612) + 0 + 0 + sqrt(612) - sqrt(612)))**2. 156672 Simplify 3 + (sqrt(2448) + -3*sqrt(2448))**2 - (sqrt(2448) - (3 + sqrt(2448))*1)**2. 9786 Simplify (-1 + sqrt(343) - sqrt(21)/sqrt(3)*1)**2 - (sqrt(112)/sqrt(4) + sqrt(1260)/sqrt(5)). -20*sqrt(7) + 253 Simplify (sqrt(12)*4*3)/(2*sqrt(144)). sqrt(3) Simplify 0 + (sqrt(2057) + 3 + -2 + 4)**2 + -4. 110*sqrt(17) + 2078 Simplify (3 + (sqrt(7) - (-2 + sqrt(28))) + 5*(sqrt(448) + -1))**2. 10647 Simplify -5*-3*(sqrt(128)/sqrt(4) - -5*sqrt(8)). 210*sqrt(2) Simplify 3 + (sqrt(99) - (5 + sqrt(99)*2))**2 + -1 + 1. 30*sqrt(11) + 127 Simplify (sqrt(136)/sqrt(200))**2*3*-5*-2*-1. -102/5 Simplify (1 + 3*sqrt(13) + sqrt(13) + -1*sqrt(1053) + sqrt(13))**2 + 2. -8*sqrt(13) + 211 Simplify (sqrt(147) + -5*1*sqrt(147) + -3 + 1 + sqrt(147) + -1 + 3)**2*-4. -5292 Simplify -3*(sqrt(637) + sqrt(637) + (sqrt(637) - -4*sqrt(637))*-5 + -1 + sqrt(637) + -2)**2. -924951 - 2772*sqrt(13) Simplify (0 + 2*(-1 + sqrt(1872)*-2 + sqrt(1872) - ((sqrt(1872) - ((sqrt(1872) + 0 + sqrt(1872))*3 - sqrt(1872))) + sqrt(1872) + sqrt(1872))))**2. -96*sqrt(13) + 7492 Simplify (sqrt(224)/(sqrt(968)*-1))/((1*sqrt(1440) + sqrt(1440))/sqrt(10)). -sqrt(7)/132 Simplify -3*((-1*sqrt(2)*-3)**2 + 1*sqrt(2)*5)*3. -162 - 45*sqrt(2) Simplify 4*((-1*sqrt(57)/sqrt(3))**2 + (sqrt(171) - sqrt(19)) + 2)*-5. -420 - 40*sqrt(19) Simplify (sqrt(363) + (1 + sqrt(363))*3)**2*6 + 0. 1584*sqrt(3) + 34902 Simplify (-5*sqrt(300)*-1 - (2 + sqrt(300))*4)**2. -160*sqrt(3) + 364 Simplify (4 + -1 + (sqrt(2448) - (sqrt(2448) - (3 + 2*sqrt(2448)))) + 4)**2 + 2. 480*sqrt(17) + 9894 Simplify (2*-3*sqrt(136)*-4)/(sqrt(24)/(2*sqrt(75))). 240*sqrt(17) Simplify 4 + ((5 + sqrt(343) + -1 - (1 + sqrt(343))*2)*4)**2*2. -896*sqrt(7) + 11108 Simplify 4*(((-2*-3*sqrt(170) + sqrt(170))/sqrt(10)*-1)**2 + 4). 3348 Simplify -5 + (-2*sqrt(192))**2 + -3 + -5*(3 + sqrt(192)) + -1. -40*sqrt(3) + 744 Simplify -3*(1 + 2 + (sqrt(882) - sqrt(18))**2 + 2). -1959 Simplify 1*(-2 + ((sqrt(7) + 0)*6 + sqrt(28) + 3 - (-3 + sqrt(343) + 1)))**2. 6*sqrt(7) + 16 Simplify ((sqrt(102) - ((sqrt(102) - (sqrt(102) + 5*sqrt(102)*1)) + sqrt(102) - sqrt(102)))*6)/(sqrt(726)*-1 + sqrt(6)*2*-2 + sqrt(6)). -18*sqrt(17)/7 Simplify ((-4*(sqrt(1280) - -1*sqrt(1280)))/(-1*1*sqrt(4) + (sqrt(36)*-2)/sqrt(9)))**2. 20480/9 Simplify ((-6*(sqrt(325) + 1))**2 + -5)*3 + 3 + 4. 1080*sqrt(13) + 35200 Simplify ((sqrt(294)*1*-2)/(sqrt(27)/((sqrt(9) - sqrt(81))*-6)))**2. 56448 Simplify (3*-1*(-1*sqrt(425)*1 + 1 + (sqrt(425)*2 - sqrt(425)))*4)**2. 144 Simplify (-2*sqrt(110)*-3 + (sqrt(110) - (sqrt(110) - ((1*sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)))*-3))/(sqrt(90) + -6*sqrt(90)*1). -2*sqrt(11)/3 Simplify -2*((sqrt(300) + 1)**2*-5 - sqrt(132)/(sqrt(66)/(2*sqrt(6) - sqrt(6)))). 204*sqrt(3) + 3010 Simplify (-4*((2*sqrt(70)*-6 - sqrt(70)) + sqrt(70)))/(-2*(sqrt(810)*-2 - sqrt(810)) - sqrt(810)). 16*sqrt(7)/15 Simplify -1*(sqrt(14)/sqrt(7) + 5) + (-2*sqrt(98))**2 + -1. -sqrt(2) + 386 Simplify (-2 + (4*-2*sqrt(121))/sqrt(11) + -4)**2*5. 480*sqrt(11) + 3700 Simplify ((-6*(sqrt(104) + (sqrt(104) + -1*sqrt(104))*5))/(sqrt(48)/(sqrt(96) + sqrt(6)) + -2*sqrt(512) + sqrt(512)))**2. 100/13 Simplify -3*(1*sqrt(300) + 0 - (0 + sqrt(300))*-3). -120*sqrt(3) Simplify 4*(sqrt(2448) + -1) + (sqrt(51)/((sqrt(12)*-3)/sqrt(4)))**2. -19/9 + 48*sqrt(17) Simplify -5 + (4*(sqrt(11)*-2 + sqrt(11)) - sqrt(11)) - (sqrt(99) + sqrt(99)*1 - sqrt(99))*6. -23*sqrt(11) - 5 Simplify ((4 + sqrt(13)*-2)*-6)**2 - sqrt(52)/(3*sqrt(64)). -6913*sqrt(13)/12 + 2448 Simplify (((4*sqrt(684))/sqrt(12))/sqrt(3))**2 - ((-2*sqrt(1539))**2 - (sqrt(95)/sqrt(5)*-2)**2). -5776 Simplify (-1*-4*-2*sqrt(7) + (1 + (0 + sqrt(7) - sqrt(7)) - (sqrt(7) - 3*(sqrt(28)/sqrt(4) - sqrt(7)))))**2. -18*sqrt(7) + 568 Simplify -2*(0 + 3 + sqrt(19) + 0 + -4)*4. -8*sqrt(19) + 8 Simplify (sqrt(75)/(sqrt(5) - sqrt(320)))/(sqrt(3) - sqrt(1728))*6. 6*sqrt(5)/161 Simplify ((sqrt(720) - sqrt(720)*4)/(sqrt(40)/(sqrt(20)/sqrt(5))))**2. 648 Simplify (6*((-6*-1*sqrt(637) - sqrt(637)) + -1) + -4)**2. -4200*sqrt(13) + 573400 Simpl
{ "pile_set_name": "DM Mathematics" }
u(s) = -s**3 + s**2 + 3. Let x(v) = -v**2 + 5*v + 7. Let k be x(6). Suppose -4*b = -5*t - 8, b - k = t + 1. What is u(t)? 3 Let k(z) = -z**2. Let h(c) = 3*c**2 - 9*c - 11. Let b(f) = -h(f) - 2*k(f). Give b(8). 19 Let w(t) be the second derivative of -3*t - t**2 + 0 + 1/20*t**5 - 1/6*t**3 - 1/12*t**4. Suppose 23 = 4*i - 3*h, i + 4*h + 16 = -i. Give w(i). 0 Let b be 4 - (-1 + 2 - 0). Let v(a) = 3*a**3 - a + 5*a**2 - 5*a + 4 - 3*a**b - a**3. Calculate v(4). -4 Let g(i) = i + 2. Let j be -8*(33/(-12) - -2). Let m(r) = -r**2 + 7*r - 1. Let y be m(j). What is g(y)? 7 Let q(z) be the third derivative of -13*z**6/120 - z**5/60 + z**4/24 + z**3/6 - 2*z**2. Suppose 2*g + g = -3. Calculate q(g). 12 Let c(s) = -3*s - 1. Let w be (4/10)/(1/5). Calculate c(w). -7 Let u(o) be the second derivative of -o**3/6 + o**2/2 + o. Let v be u(4). Let x(z) be the second derivative of -z**3/6 - 3*z**2/2 - z. Give x(v). 0 Let o(q) = -3*q + 15. Let y(v) = -2*v + 10. Let b(j) = 5*o(j) - 7*y(j). Let i(a) = -3*a - 3. Let r be i(-3). What is b(r)? -1 Let q(k) = -8*k - k**2 - 4*k + 24 - 30. Give q(-11). 5 Suppose -4*k = -k - 30. Suppose -o = 0, -2*j - 3*o - 2*o = -k. Suppose 0 = -f - j. Let x(c) = c**2 + 5*c + 2. Calculate x(f). 2 Let g(d) be the second derivative of -d**5/20 - d**4/12 + d**3/3 - d**2/2 + 2*d. Suppose -n - 4*n - 5 = 5*x, 11 = 5*x - 3*n. Give g(x). -1 Let y = -9 + 9. Let c(u) = -u**3 + 7*u**2 + u + 3. Let d(v) = -v**3 + 6*v**2 + v + 4. Let m(o) = 5*c(o) - 6*d(o). Calculate m(y). -9 Let f(r) be the first derivative of r**7/840 - r**6/72 + r**5/120 - r**4/8 + 2*r**3/3 - 3. Let p(w) be the third derivative of f(w). Determine p(5). 2 Let a(h) = -5*h**3. Suppose 3*k = -s + 4, -2 = -4*k + 2*s - 0. Let j be 1*-3*k + 2. Let o be j - (-1 + 1) - 0. Calculate a(o). 5 Suppose 0 = 5*b - 41 + 11. Let g(y) = -y**2 + 5*y + 2. What is g(b)? -4 Let l(h) be the second derivative of 1/2*h**2 + 1/3*h**4 + h + 0*h**3 + 0. Let y be l(-1). Let q(w) = w**3 - 4*w**2 - 5*w - 2. Give q(y). -2 Suppose b + 6 = 3*z, -3*b + 1 = 5*z + 5. Let f(o) = -6*o**3 - o**2 + 1. What is f(z)? -6 Let j = -24 + 51. Let r = j + -39. Let o = r + 6. Let b(z) = z**2 + 5*z + 1. Calculate b(o). 7 Suppose -2*o = -x + 18, 2*x = -3*x - 4*o + 132. Let z = x - 20. Let q(l) = l**2 - 7*l + 5. Calculate q(z). -7 Let b(w) be the second derivative of -1/3*w**3 + w**2 + w + 0. Give b(2). -2 Let k(h) = -h**3 + 5*h**2 + 4*h + 6. Let z(o) be the second derivative of o + 0 + 4/3*o**3 - 1/12*o**4 + 3*o**2. Let b be z(8). Determine k(b). -6 Suppose 3*d - 7 = y - 18, -d - 7 = -y. Suppose 3*m = -y*g - 19, 3*g + 7 + 14 = 3*m. Let l(h) = -1 + 1 - 3*h + h**2 + 3. What is l(m)? 1 Let c(h) = -6*h - 5. Let o(b) = b + 1. Let m(k) = 2*c(k) + 11*o(k). Determine m(-6). 7 Suppose 2*i + 12 = -2*d, 3*i = 4*d + 24 - 7. Let j = d - -5. Let a(u) = 2 - 4*u**2 - u + u**2 + j*u**2 + 2*u**2. What is a(0)? 2 Let k(c) = c - 5 + 4*c**2 - c**2 + c**3 - 4*c**2 + 1. Let l be k(0). Let w(y) = y + 5. Determine w(l). 1 Let r(f) = -5*f. Let g(y) = -30*y. Let c(v) = 6*g(v) - 35*r(v). Suppose -s = -4*s - 6. Let b(d) = d + 1. Let i be b(s). Calculate c(i). 5 Let y(p) = 2*p**3 - 8*p**2 + 7*p + 5. Let x(i) = -i**3 + 7*i**2 - 7*i - 6. Let m(v) = -3*x(v) - 2*y(v). Suppose 4*l + 5 + 25 = -2*b, 3*b + 9 = 0. What is m(l)? 2 Let k(s) = -2*s - 4*s + 7*s - 2*s - 4. Determine k(4). -8 Let q be 1 - -3 - (-3)/(-3). Let x(h) = h**2 - 2*h - 3*h - q + 0*h. Suppose 0 = -3*p + 22 - 7. Give x(p). -3 Let g(d) = -2*d - 9. Let l be g(-5). Let p(i) = -2*i**2 - i. Calculate p(l). -3 Let m = -1 + -1. Let n = m - -2. Let c(s) = 0*s + n*s + s. Determine c(-1). -1 Let f = 7 - -2. Suppose -5*b = -h - 21 - f, -2*b = 2*h. Let z(q) = 4 + 4*q + 0 - 2*q. Determine z(h). -6 Suppose 4*f + 42 = -2*l, 3*f + 24 = l - 15. Let v = -7 - f. Let b(w) = w**2 - 3*w - 6. Determine b(v). 4 Let o(a) = -a**2 - 6*a - 5. Let l be o(-4). Let q be (-2 + 2)*l/(-6). Let v(r) = -r + 7. Let m(g) = g - 7. Let c(z) = 4*m(z) + 5*v(z). Calculate c(q). 7 Let l(a) = -2*a**2 - a - 1. Let g = 23 - 21. What is l(g)? -11 Let l = -2 - -2. Let n(a) = -a + a + 8 - 3*a + 2*a. Give n(l). 8 Let j(a) = 11*a - 2. Let t(q) = 21*q - 3. Let c(b) = -5*j(b) + 3*t(b). What is c(-1)? -7 Suppose -b = b - 14. Let c(z) = 3*z**3 - 2*z**3 - 2*z - b + 0*z**2 - 5*z**2 - 2*z**3. What is c(-5)? 3 Let b(y) be the second derivative of y**5/20 - 7*y**4/12 + 7*y**3/6 - 2*y**2 + 10*y. Calculate b(6). 2 Let b(m) be the second derivative of m**3/2 + 2*m**2 - 2*m. Let r(w) = w**3 - 9*w**2 + 7*w + 5. Let l be r(8). Calculate b(l). -5 Let p(t) = -t - t + t - 11. Let o(f) = f + 1. Let a = -11 + 5. Let u be o(a). Determine p(u). -6 Let m = -11 + 12. Let v(x) = -x - 1. Let r(w) = w**2 - 3*w - 12. Let y(q) = m*r(q) - 5*v(q). Calculate y(-5). 8 Let o(h) = h - 3*h + 0*h + 0*h + 1. Let v be (2/3)/(6/27). What is o(v)? -5 Let j(n) be the third derivative of -n**6/720 + n**5/120 - n**4/6 + 4*n**2. Let f(t) be the second derivative of j(t). Determine f(2). -1 Let z(w) = -w**3 - 13*w**2 - w - 18. Let u be z(-13). Let t be u/(-1)*(-24)/20. Let p(k) = -k**3 - 7*k**2 - 5*k + 4. Calculate p(t). -2 Suppose 2*o + 0*o = 20. Let u(k) = 5 + 4*k + 5*k + 0 - o*k. Let w = -15 - -10. Give u(w). 10 Suppose 0 = 4*c + 4*s + 16, 4*c - 6 = -5*s - 27. Let d(h) = h**2 - h - 1. Let n(l) = l - 2. Let z(y) = c*n(y) - d(y). What is z(3)? -4 Let c be (-2)/(-6)*12/(-8)*12. Let s(l) = l**2 + 5*l - 8. Give s(c). -2 Let x be (-1 - -2)/(3/6). Let u(d) = 3*d**3 - 2*d**2 - 2*d + 1. Give u(x). 13 Let l(d) = -d**2 - d + 5. Let i be 3 + (-15)/(15/3). Give l(i). 5 Let a(z) be the second derivative of -7*z**4/6 - z**2/2 - 3*z. Let p = -5 - -4. Calculate a(p). -15 Suppose -7*p + 6*p + 3 = -j, 2*j = p + 2. Let b(k) = -k**2 + 8*k + 1. Give b(p). 1 Let a be (-31)/(-2) - 1/(-2). Suppose -5*n - 3*q - 2 = 0, -8*q - a = -4*q. Suppose 6 = 4*u - n. Let x(j) = -2*j - 2. What is x(u)? -6 Let i be (1 + (2 - 3))/2. Let t = 2 - i. Let l be (1 - (-7)/(-2))*t. Let f(v) = v**3 + 5*v**2 - 2*v - 5. Determine f(l). 5 Suppose 2*q - q + w = 8, -w + 22 = 3*q. Let r(c) = c**2 - 5*c - 10. What is r(q)? 4 Let n(l) = l**2 - 1 - 8*l - 5 + 4*l. Give n(5). -1 Let h(x) be the third derivative of -4*x**2 + 0*x - 1/120*x**6 + 2/3*x**3 - 5/24*x**4 + 0 - 1/10*x**5. What is h(-4)? -8 Let m(h) = -h**3 + 5*h**2 + 4*h + 8. Let t(c) = c**3 - 5*c**2 - 3*c - 7. Let f(g) = -4*m(g) - 5*t(g). Determine f(5). -2 Suppose -5*r + 0 = -3*a + 4, -3*r = 4*a - 15. Let b(c) = 4*c**2 + c. What is b(r)? 5 Let s(u) = u**2 + 4*u + 6. Suppose -a = -2 + 6. What is s(a)? 6 Let n(k) = -k - 10. Let f be n(-7). Let z be f/5 + 8/5. Let p(g) = 9*g - 3. Let w(c) = -c + 1. Let r(y) = p(y) + 4*w(y). Calculate r(z). 6 Suppose 2*l - 6 = -3*o + 15, 0 = 5*l - 2*o - 5. Suppose l = -2*x + 5. Let d(j) = -2*j - 3*j + 6*j - 3*j + x. What is d(2)? -3 Let v = -78 - -74. Let r(m) = -m**2 - 3*m + 8. Let x(l) = l**2 + 3*l - 7. Let a(h) = -5*r(h) - 6*x(h). Calculate a(v). -2 Let i(m) = 2*m + 2. Let g(l) = l**3 - 3*l**2 + 2*l + 2. Let b be g(2). Let r be -6*(7/b + -3). Give i(r). -4 Let a(x) be the second derivative of -2*x**2 + 1/6*x**4 + 3*x - 5/6*x**3 + 0 + 1/20*x**5. Determine a(-3). 2 Let i(f) = -f - 1. Suppose 2*q + 2*d + 7 = -q, 0 = -5*q + 4*d - 19. Let s be i(q). Let v(l) = 1 + s*l + 2 - 5. Give v(-2). -6 Let i(o) be the third derivative of -o**5/30 - o**4/6 - o**3/3 + o**2. Let l = 25 + -12. Let y = 11 - l. What is i(y)? -2 Let k(x) = -x**2 + 5*x + 4. Let h(w) = w + 1. Let b(t) = -5*h(t) + k(t). Give b(-2). -5 Let d(s) = -6*s**2 + 10*s + 2. Let r(n) = 5*n**2 - 9*n - 2. Let a(j) = -4*d(j) - 5*r(j). Determine a(5). 2 Suppose -16 = -3*w - 3*u - 7, -4 = -3*w + 2*u. Suppose f = 2*f - w. Let l(d) = -7*d + 2. What is l(f)? -12 Suppose 4 = 4*k - x, -2*k - 12 = 3*x - 0*x. Suppose -z - 6 = -k*z. Let v(c) = c**2 + 5*c - 5. Determine v(z). 1 Let w(j) = 4*j. Let k be w(1). Suppose -3 = -k*t - 19. Let z(q) = 5*q + 3. Let s(p) = 3*p + 2. Let h(x) = 7*s(x) - 4*z(x). Determine h(t). -2 Let c(d) = -6 + 0*d + d - 6. Give c(6). -6 Let h(p) = 14*p**3 - 25*p + 25*p - 1. What is h(1)? 13 Suppose 0*f = 3*f + 18. Let p(r) = -r - 5. Let y be p(f). Let d(i) = 3*i**2 + 2 - 3 + i + 0. Calculate d(y). 3 Let c(m) = -3*m**3 + 6 + 2*m**3 - 5*m**2 - 4 - 5*m. Give c(-4). 6 Suppose -5*u - 17 + 77 = 3*s, -2*u = 4*s -
{ "pile_set_name": "DM Mathematics" }
ivided by 8? 5 What is the remainder when 343708 is divided by 31245? 13 What is the remainder when 16730 is divided by 4180? 10 What is the remainder when 104809 is divided by 17457? 67 What is the remainder when 87654 is divided by 3504? 54 Calculate the remainder when 62291 is divided by 28. 19 Calculate the remainder when 1973 is divided by 25. 23 Calculate the remainder when 1373 is divided by 672. 29 Calculate the remainder when 57250 is divided by 139. 121 Calculate the remainder when 26872 is divided by 5. 2 What is the remainder when 645349 is divided by 1659? 1657 Calculate the remainder when 322426 is divided by 93. 88 What is the remainder when 1739 is divided by 43? 19 Calculate the remainder when 404784 is divided by 176. 160 Calculate the remainder when 180308 is divided by 10. 8 What is the remainder when 1353 is divided by 11? 0 What is the remainder when 17302 is divided by 143? 142 Calculate the remainder when 1774 is divided by 220. 14 What is the remainder when 4019 is divided by 33? 26 What is the remainder when 1063714 is divided by 11? 3 Calculate the remainder when 11232 is divided by 2241. 27 What is the remainder when 866095 is divided by 592? 591 Calculate the remainder when 2468 is divided by 56. 4 Calculate the remainder when 17483 is divided by 516. 455 Calculate the remainder when 21199 is divided by 623. 17 Calculate the remainder when 1214 is divided by 857. 357 Calculate the remainder when 21059 is divided by 390. 389 What is the remainder when 292851 is divided by 337? 335 Calculate the remainder when 1881 is divided by 187. 11 Calculate the remainder when 1973 is divided by 274. 55 What is the remainder when 5872 is divided by 329? 279 Calculate the remainder when 3143 is divided by 310. 43 What is the remainder when 14819 is divided by 95? 94 Calculate the remainder when 22322 is divided by 1315. 1282 What is the remainder when 73659 is divided by 2375? 34 What is the remainder when 7249 is divided by 2387? 88 What is the remainder when 581 is divided by 84? 77 What is the remainder when 106621 is divided by 25? 21 Calculate the remainder when 50909 is divided by 592. 589 What is the remainder when 53932 is divided by 117? 112 What is the remainder when 82086 is divided by 83? 82 What is the remainder when 945628 is divided by 42? 40 What is the remainder when 46879 is divided by 32? 31 Calculate the remainder when 965 is divided by 30. 5 Calculate the remainder when 396 is divided by 208. 188 What is the remainder when 5329 is divided by 1401? 1126 What is the remainder when 139725 is divided by 48? 45 Calculate the remainder when 1105642 is divided by 117. 109 Calculate the remainder when 1276 is divided by 1247. 29 Calculate the remainder when 170967 is divided by 85436. 95 Calculate the remainder when 63159 is divided by 141. 132 Calculate the remainder when 3132580 is divided by 13. 9 What is the remainder when 30041 is divided by 31? 2 What is the remainder when 364517 is divided by 644? 13 What is the remainder when 48492 is divided by 9687? 57 Calculate the remainder when 9662174 is divided by 16. 14 What is the remainder when 23627 is divided by 7857? 56 What is the remainder when 8410 is divided by 4121? 168 Calculate the remainder when 2541 is divided by 294. 189 What is the remainder when 4925 is divided by 185? 115 Calculate the remainder when 43532 is divided by 4835. 17 Calculate the remainder when 490482 is divided by 70063. 41 Calculate the remainder when 16143995 is divided by 123. 122 What is the remainder when 2340 is divided by 2264? 76 Calculate the remainder when 123802 is divided by 684. 682 Calculate the remainder when 19861 is divided by 1168. 5 Calculate the remainder when 103535 is divided by 34501. 32 What is the remainder when 5482 is divided by 2728? 26 Calculate the remainder when 27443 is divided by 18. 11 What is the remainder when 398050 is divided by 99498? 58 Calculate the remainder when 9777 is divided by 42. 33 Calculate the remainder when 1794 is divided by 300. 294 Calculate the remainder when 396357 is divided by 20. 17 Calculate the remainder when 37211 is divided by 5313. 20 What is the remainder when 82155 is divided by 63? 3 Calculate the remainder when 1596 is divided by 63. 21 Calculate the remainder when 527 is divided by 125. 27 Calculate the remainder when 806 is divided by 71. 25 What is the remainder when 18391 is divided by 18321? 70 Calculate the remainder when 19479 is divided by 140. 19 What is the remainder when 634 is divided by 71? 66 Calculate the remainder when 129005 is divided by 28. 9 What is the remainder when 35013 is divided by 19? 15 Calculate the remainder when 45840 is divided by 37. 34 Calculate the remainder when 949273 is divided by 33. 28 What is the remainder when 876 is divided by 847? 29 Calculate the remainder when 100034 is divided by 112. 18 What is the remainder when 12805 is divided by 109? 52 Calculate the remainder when 5425 is divided by 319. 2 Calculate the remainder when 1858 is divided by 517. 307 What is the remainder when 9309 is divided by 166? 13 Calculate the remainder when 53049 is divided by 10. 9 What is the remainder when 4195 is divided by 15? 10 Calculate the remainder when 2049 is divided by 85. 9 Calculate the remainder when 103638 is divided by 7402. 10 Calculate the remainder when 1947 is divided by 96. 27 What is the remainder when 27474 is divided by 43? 40 Calculate the remainder when 91172 is divided by 1232. 4 What is the remainder when 3830 is divided by 1014? 788 Calculate the remainder when 1328 is divided by 353. 269 What is the remainder when 437775 is divided by 109440? 15 What is the remainder when 68166 is divided by 214? 114 What is the remainder when 63643 is divided by 35? 13 Calculate the remainder when 535096 is divided by 2066. 2 What is the remainder when 1455569 is divided by 2430? 2429 Calculate the remainder when 5844598 is divided by 180. 178 What is the remainder when 824 is divided by 802? 22 Calculate the remainder when 453 is divided by 373. 80 What is the remainder when 94152 is divided by 11768? 8 What is the remainder when 72229 is divided by 24070? 19 Calculate the remainder when 827 is divided by 790. 37 Calculate the remainder when 39110 is divided by 686. 8 What is the remainder when 24405 is divided by 113? 110 What is the remainder when 7703 is divided by 1529? 58 Calculate the remainder when 2227 is divided by 78. 43 What is the remainder when 146059 is divided by 128? 11 Calculate the remainder when 16049 is divided by 2003. 25 What is the remainder when 22015 is divided by 4? 3 Calculate the remainder when 10200 is divided by 610. 440 Calculate the remainder when 4507 is divided by 27. 25 What is the remainder when 46901 is divided by 298? 115 Calculate the remainder when 344209 is divided by 57368. 1 What is the remainder when 168477 is divided by 160? 157 What is the remainder when 7953 is divided by 39? 36 What is the remainder when 71814 is divided by 110? 94 Calculate the remainder when 426 is divided by 24. 18 What is the remainder when 13933 is divided by 633? 7 Calculate the remainder when 448 is divided by 62. 14 Calculate the remainder when 1010 is divided by 312. 74 What is the remainder when 5733 is divided by 627? 90 What is the remainder when 12032 is divided by 213? 104 Calculate the remainder when 335509 is divided by 17. 14 What is the remainder when 60797 is divided by 515? 27 What is the remainder when 265269 is divided by 28? 25 Calculate the remainder when 25039 is divided by 31. 22 What is the remainder when 93007 is divided by 959? 943 What is the remainder when 7526 is divided by 1873? 34 Calculate the remainder when 1900 is divided by 91. 80 Calculate the remainder when 164336 is divided by 119. 116 What is the remainder when 2151 is divided by 1825? 326 Calculate the remainder when 321162 is divided by 679. 674 What is the remainder when 130068 is divided by 21678? 0 What is the remainder when 3131 is divided by 4? 3 Calculate the remainder when 1469172 is divided by 75. 72 What is the remainder when 16027 is divided by 96? 91 Calculate the remainder when 9342 is divided by 931. 32 Calculate the remainder when 6868 is divided by 425.
{ "pile_set_name": "DM Mathematics" }
e 4*n + v*w + 8 = w, -3*w - y = 4*n for n. 0 Let y = 19 + -10. Suppose -4*v + y = 1. Solve d - 2 = v*j + 4, 0 = -3*j - 2*d + 5 for j. -1 Suppose 7*g - 10 = 60. Let b = g + -8. Suppose -2*w + w + 5*z + 29 = 0, -4*w + 62 = -2*z. Solve -5*a - 4 - w = -4*i, i + b*a = -2 for i. 2 Let f be ((-14)/6*-4)/(4/6). Suppose 11*j = f*j. Solve -x = i + 1, -4*i - 6 + j = 3*x for i. -3 Suppose 102*q - 4*b + 20 = 100*q, 4*b = 20. Solve q = -3*v - 2*a - 3, -5*v - 5*a - 2 = 8 for v. 1 Let d = 70 - 55. Suppose d = b + 2*b. Solve -5*o - 4*l + 14 = 0, l - 3 = -b*o + 8 for o. 2 Suppose -260 = -2*g - 24*g. Let c be ((-20)/4)/((-2)/22). Suppose -5*p - c = -g*p. Solve -4*v + p = -4*z + 3, z - 10 = 5*v for z. -5 Let y(r) be the first derivative of r**2/2 + 7*r + 43. Let f(m) = m - 2. Let w be f(-5). Let g be y(w). Solve 2 = d - b, -5*d = 2*b - g*b + 25 for d. -3 Let l be 0 + -4 + (5 - 1). Let x = l + 2. Solve x*o - 4*j = 0, j + 2 = 4 for o. 4 Let r be (-94)/(-8) + 2/(32/(-12)). Suppose 0*d - 5*d - r = -2*f, -4*d + 2 = 2*f. Solve -3*o - 25 = x - 8, 0 = 3*x + f*o + 27 for x. -5 Let h be 1/(2/54 - 0). Let m = -7 + h. Let l = 12 + -10. Solve z + 4 = b, l*z + 5*b = -z + m for z. 0 Let x = -3 + 5. Let h(t) = t**3 - 7*t**2 + 7*t - 3. Let f be h(6). Suppose -12 = -3*a - s, f*a + 4*s = -4 + 7. Solve p - r = a*p - 20, x*r + 4 = 3*p for p. 4 Let i = -118 - -124. Let g be (-168)/(-15) - (-1)/(-5). Solve -4*x - g = c - 3, 3*x + i = -3*c for c. 0 Let m(f) be the first derivative of 1/3*f**3 - 4 + 1/2*f**2 + 0*f. Let v be m(0). Solve v = -0*h - 4*h - 5*l + 18, 12 = 4*h + 2*l for h. 2 Suppose -4*i = -2*l + 4, 2*l + l - 15 = 3*i. Let z = -5 + l. Solve -3*d + v - z*v + 15 = 0, -4*v = -3*d + 15 for d. 5 Let v = 10 - 6. Let p = -6 - -14. Suppose 0 = p*l - 4*l - 16. Solve j - 3*c - 2*c - 23 = 0, -l*j + v*c = -28 for j. 3 Let o(s) = s**3 - 5*s**2 + s - 3. Let f be 3*3/9*5. Let t be o(f). Solve x = b + 1, -b = t*b - x + 9 for b. -4 Suppose -l - 12 = -5*i, 5*i + 2*l - 18 = l. Solve -5*f - 11 = -y, i*y + 0*y + 2*f + 18 = 0 for y. -4 Suppose r + 0*r - 5 = 0. Suppose 2*x - r = x. Let j be 0/(1/((-2)/2)). Solve x*s + y + 15 = -2*y, j = -4*s + 3*y + 15 for s. 0 Suppose -2*g + 7*g = 0. Suppose -191 = -29*z + 12. Suppose -18 = 4*n - 66. Solve g = -4*j + n, j + z = -u + 6*u for u. 2 Let s = 30 - -66. Let a = s - 66. Suppose 0 = 4*j + 5*w - 1, -16 = -j - 4*w + 8*w. Solve -y - j*p = 15, p = y - 4*p - a for y. 5 Suppose 4*h - 2 = -2*v + 4, 3*h - 2*v - 8 = 0. Solve -3*b = h*s - 4*s - 11, 3*b - 5*s = 14 for b. 3 Suppose 5*b - 2 = -3*z, 2*b + z = 7*b - 6. Let a be (-1 + -2)/(-3) + b. Let h be -2 + 3*a/3. Solve h = -4*w + p - 14, 5*w + 23 = -2*p - 1 for w. -4 Suppose -2*z + 9 = -r, 0 = 4*r - 0*z - 3*z + 31. Let k = -4 - r. Solve -2*f + k*v - 25 = -2*v, 5*f = -5*v - 10 for f. -5 Suppose -2*c - 6 = 4*t, -3*c - 6 = -c. Suppose -16 = -4*i - t*i. Solve 4*k = -3*l - 24, 5*k + 7 = l - i for l. -4 Let x(t) = -t**2 + 7*t + 3. Let u be x(4). Suppose 9*i = 4*i + 25. Solve 2*r - i*q - u = -2*q, -3*q = -3*r + 18 for r. 3 Let h(g) = -g**2 + 6*g - 4. Suppose -a - 6*a + 21 = 0. Let d be h(a). Solve s = -d*p, -3*s - 5*p = -4*p for s. 0 Let j(u) = u**3 + 14*u**2 + 12*u - 1. Let n be j(-13). Suppose -m = m - r - 8, -2*m + n = r. Solve 5*w + d = 16, -21 = -m*w + 2*d - 8 for w. 3 Let t = -51 - -51. Let y = 24 - 14. Suppose t = -y*g + 12*g. Solve -m - w + 1 = g, 4*w + 6 = 2*m - 14 for m. 4 Suppose -2*g - 26 = 2*h, 32*h = 36*h + 20. Let j(d) = -4*d**2 - 2*d + 2. Let w be j(-2). Let n = g - w. Solve 0 = -2*b + 2, 0*b + 8 = -2*l - n*b for l. -5 Let u = 975 - 955. Solve -2*d + 6 - u = 4*w, -2*d = 2*w + 12 for w. -1 Let k be (0 - 2)/(-4)*-2. Let b be -2*k/(-8)*-12. Let q(l) = l - 4. Let y be q(4). Solve -j - 20 = -3*c, -b*c + 0*c + 15 = y for j. -5 Suppose 3*o - 25 = -2*f + 48, 2*f - 83 = -5*o. Let h be 62/18 + (-20)/45. Solve -r + 2*p = -3, -5*p - f = h*r + 6 for r. -5 Let g = -22 + 25. Suppose 1 + g = x. Suppose -4*y + t = -2, -t = -6*t - 10. Solve n = -y*n + x*j - 22, 0 = n - j + 7 for n. -2 Let i(n) = n - 1. Let b be i(4). Suppose -10 = -2*d - b*d. Let s be -4*(2/11 + 1886/(-2024)). Solve d*o - 5*j + 15 = 0, o - 6*o = j - s for o. 0 Let y = 41 - 36. Let m(v) = -8*v + 40. Let h be m(y). Solve 5*z + q + 25 = h, 2*z - 3*q = -16 + 6 for z. -5 Let x(r) = r**2 + 11*r - 40. Let u be x(4). Solve 8 = 4*c + 7*d - 5*d, -4*c + u = 5*d for c. 0 Suppose 2*t - 2*b = 2*b + 60, -3*b = -4*t + 105. Let d = t - 22. Solve -2*r + 5*k + 3 = 15, d*r - 8 = -5*k for r. -1 Let o be 7 - (9 + 80/(-8)). Solve -5*r + 18 = 7*g - 10*g, -3*r = g - o for r. 3 Let m be 16/24*(-81)/(-6). Suppose 4*x + 3*u = 16, -4*u = 5*x - 11 - m. Solve x*l + 13 = -7, 0 = 4*n - 4*l - 4 for n. -4 Let s = -4 - -8. Suppose 0 = 5*w - n + 5, 0*w - 2*w - 5 = -n. Solve -4 + w = s*v + 2*q, 2*q = -v - 1 for v. -1 Suppose 5 = -3*g - 7, 0 = -2*j - 2*g - 2. Let q be 1/(1/j) + 15/5. Solve -4*d + 2*w = -q + 2, 0 = 3*d - 5*w + 4 for d. 2 Let i be (364/104)/(7/6). Solve -3*h - i*s = 3 + 15, 12 = -3*h + 3*s for h. -5 Let l = 9 + -5. Suppose -2*k + 25 = 3*k. Suppose 10*x - 391 = 27*x - 40*x. Solve 3 = -k*m - a - x, 0 = -3*m + l*a - 12 for m. -4 Let j be 3/(-8 + (-63)/(-7)). Solve -5*s - q + 30 = 5, -11 = s - j*q for s. 4 Suppose -2*x + 31 - 6 = -3*h, -5*x + 7*h = -60. Solve -2*y - 35 = -x*f, -3*y - 3*f + 5 = -y for y. -5 Let b be -3 + (4 + -19)/(-5). Suppose 5*z = 5 - b. Let q be z + (5 - (4 - 1)). Solve 5 = q*p + d, 2*d = 3*p - 6*p + 10 for p. 0 Let t(i) = -i**3 + 5*i**2 - 3*i + 3. Suppose -3*q - 21 = -4*j, j + 4*q + 4 = -5. Let d be t(j). Let x = d - 9. Solve 0 = 4*p + 16, -2*y + y = p + x for y. 1 Suppose 52 = 6*v - 2*v. Let z = -8687 - -8687. Solve z = n + 2*b - 6, -v = -3*n - 0*n - b for n. 4 Suppose -191*y = -165*y - 494. Solve 20*d - 24*d - j = y, -5*j = 5*d + 20 for d. -5 Let v(w) = w**2 - 5*w - 4. Let j be v(6). Suppose j*o - 6*o = -28. Let z = 14 + -4. Solve -2*t + 3*x = -19, 0 = -t + 3*x + z + o for t. 2 Let h(x) = x**2 - 7. Let k be h(3). Suppose -4*g - 4*i = 8, i - 2 - k = 2*g. Let c be 0 - (-2 - g - 1). Solve 3*r - 5*z - c = 0, -3*r + 5*z + 19 = -6*r for r. -3 Let j be 8*(6/10 - 22/20). Let x be (j - -7 - (-8)/2) + -4. Solve q = 3*b - 8 - x, -5*q = 5*b + 15 for b. 2 Let f = -1758 - -1758. Solve y - 1 = 2*z - f*z, -4*y - z = -4 for y. 1 Let v = 21 + -19. Suppose p - 4*d = -v, -p - d = p - 5. Solve p*l = 2*k - l - 12, -4*l = 16 for k. 0 Let p(o) = o + 4. Let s = -4 + 0. Let y be p(s). Suppose -5*k + 25 = -y*k. Solve k*z = u - 5 - 0, -2*z = -4*u + 2 for u. 0 Let j be (-1 + 9)*16/64*1. Solve 0 = j*t + 4*z + 2, -t - z - 8 = -3*t for t. 3 Suppose 3*c = 2*c + 32. Let l = 35 - c. Solve 5*m = 4*r + 26, l*r + 5 = 3*m - 13 for m. 2 Let x = 352 - 348. Solve 4*j - 23 = -x*l + 1, -22 = -5*l + 3*j for l. 5 Let n be (-98)/(-4) + (-9)/(-6). Let q = n - 20. Suppose 0 = q*v - 10*v. Solve v = f + 5*l + 25, -4*l + 0*l - 20 = 4*f for f. 0 Let i(p) = 2*p + 29. Let c be i(-14). Suppose 2*z + z = -5*x - c, 3*z = 5*x + 19. Solve -w + 3*a - 7*a = -17, z*a - 15 = 0 for w. -3 Let i(k) be the first derivative of k**4/4 + k**3 + 6*k + 5. Let d be i(-5). Let y be (-2)/(d/12 + 3). Solve 18 = -2*u - 3*u + 3*r, 11 = -y*u + 2*r for u. -3 Let t(u) = -u**3 + 11*u**2 - 11*u + 7. Let n be t(10). Let d be (342/27)/((-2)/n). Solve -h - 2*c + d = c, 3*h - 4*c = -8 for h. 4 Let y be (1 - 1)/(2 - -1). Let q be -6*(-8)/(-12)*-1. Solve -q*f + 4*z = -4, -2*f = -y*f + 3*z - 17 for f. 4 Suppose -q = -4*o - 10, -2*o + 2 = 4*q - q. Solve 33 = 5*j + 4*x, q*j + j - x = 13 for j. 5 Let o = -51 - -75. Suppose 5*l + 0*l = -2*n, 0 = -2*l + 4*n + o. Solve 5*b - d = b - 19, l*d - 3 = b for b. -5 Let f be (1/2)/(2/120). Let m be (15/f)/((-1)/(-218)). Suppose -2*u = 2*u - 3*x - m, -4*x - 104 = -4*u. Solve 4*b - h = 2*h - u, -19 = b - 3*h for b. -4 Let m(k) = -15*k + 48. Let q be m(3). Solve 4*h + q*c = h, -5*c + 3 = 4*h for h. -3 Let o(v) = v**3 - 15*v**2 + 19*v - 65. Let i be o(14). Solve -i*x = -j - 6 + 23, 2*j - 2*x = 10 for j. 2 Let s be (84/(-56))/(1/(-2)). Let t(c) = -6*c**3 - c**2 + 1. Let b be t(1). Let g be (b/2)/((-3)/9). Solve -11 - g = y + s*z, 0 = 2*y + z + 15 for y. -5 Suppose 4*n = 2*c, -14*n + 11*n = -5*c. Solve 10 = 5*l - 3*d, -d = -n*d + 5 for l. -1 Let s = 12 - 11. Let b(p) = -p - 10. Let a be b(-6). Let c be (-12)/(-2) + -2
{ "pile_set_name": "DM Mathematics" }
(y) = 10*y**2 + 2*y + 1. Determine w(a). 9 Let w(r) = r**3 + 5*r**2 + 6*r + 6. Suppose 13*p + 40 = -12. Determine w(p). -2 Let p(t) be the first derivative of t - 15 - 3/2*t**2. What is p(2)? -5 Suppose -5*u + 18 = -2*v, 2*u + 46*v = 47*v + 7. Let k(p) = 3 - p - 3 + 3. What is k(u)? -1 Let b(v) = -v**2 - 41*v - 271. Let z be b(-33). Let k(s) = -s**2 - 8*s - 7. What is k(z)? 0 Let m(s) = -s**3 - 2*s**2 + 3*s + 2. Let v be m(-3). Let z = 5 - v. Suppose -z*p = 9 + 6. Let a(n) = -n**2 - 7*n - 4. What is a(p)? 6 Let b(p) = p**2 + 11*p + 11. Let i(u) = -9*u**3 - 2*u**2 - 2*u + 3. Let w be i(1). What is b(w)? 1 Let a(t) = -22*t - 21. Let d(q) = 20*q + 18. Let v(j) = 5*a(j) + 6*d(j). Calculate v(-1). -7 Let x(q) = -11 - 4*q**2 - 7*q + 2*q - 15*q. Let p(b) = b**2 + 7*b + 4. Let l be (-16)/5 - ((-88)/(-55))/2. Let n(f) = l*x(f) - 11*p(f). Determine n(-2). 14 Let p(h) be the second derivative of -h**3/6 + 2*h**2 - 13*h - 8. Give p(8). -4 Let r(v) = v**3 - 4*v**2 + 3*v - 1. Suppose 3*h = 7*h - 12. Suppose 0 = 4*a - h*n + 3, -3*n = a - 18 - 0. Calculate r(a). -1 Let b be (-18)/4*(0 + 12/(-9)). Let k(d) = -b*d + 6 - 14*d + 23*d. Calculate k(-7). -15 Let i(u) = -u - 1. Let t be (-20 - -18)*(1/2 + 2). Calculate i(t). 4 Let a(h) = -6 + 15*h**2 + 5*h - 9*h + 2*h - 14*h**2. Determine a(0). -6 Let a(v) = -v**2 + 7*v - 8. Let s be a(4). Suppose 4*t = 5 - 1. Let r(d) = 2*d - d - 5 + t. What is r(s)? 0 Suppose u + 1 = -5*r, 14*r = 16*r + u - 2. Let i(l) = -l**2. Give i(r). -1 Let j(p) = 2*p - 1. Let b(f) = -f. Let m(c) = b(c) - j(c). Let n be 2/(-6) - 75/(-9). Suppose 6 - 22 = -n*l. Calculate m(l). -5 Suppose -21 = 178*g - 171*g. Let f(i) = i**3 + 3*i**2 + 2*i + 7. Calculate f(g). 1 Let v = 31 - 28. Let j(n) = 0*n**3 + 0*n**v + 0 + n**3 - 5*n + 3*n**2 - 4. Calculate j(-4). 0 Suppose 8*o = 3*o + 5. Let r(h) = 4*h**3 - h**2. Let k be r(o). Let m(b) = -3 + 113*b + 7 - 2*b**2 - 110*b. What is m(k)? -5 Let m be (1 - -2) + 35/5. Let y be (-3)/((-6)/(-4)) + m. Let o be (-16)/y + 6/(-2). Let i(u) = u**2 + 4*u - 6. Give i(o). -1 Suppose -5*y = 14 + 126. Let s be (-148)/y - (-6)/(-21). Suppose 0 = -4*x + s*l - 6, -x - 13 = -5*l - 4. Let c(q) = 9*q - 1. What is c(x)? 8 Let s(o) = -o - 1. Suppose -4*f + f + 21 = 5*p, -5*f = -3*p - 1. Calculate s(f). -3 Let v = 447 - 447. Let i(w) = w**2 + w + 5. What is i(v)? 5 Let l(d) = -d**2 + 9*d - 2. Suppose -3 = 2*v - 5*v. Let k be 16/4*(3 - v). What is l(k)? 6 Let z(l) be the third derivative of -l**6/120 - 3*l**5/10 - 17*l**4/24 + 2*l**3 + 30*l**2 - 4*l. Determine z(-17). 12 Let s(k) = k**2 + 7*k + 7. Suppose -3*q = -26 - 1. Suppose -4*g = 4*n - 24, -2*n + 4*n + q = 5*g. Suppose d + 20 = -n*d. Determine s(d). -3 Let n(c) = c**2 + 6*c + 6. Let a(y) = -20*y - 47. Let w be a(-5). Suppose 17*l = -49 - w. What is n(l)? 6 Let q(j) = j**3 - 4*j**2 + 4*j - 4. Let m(w) = -w**2 + 9*w + 13. Let i be m(10). Suppose 15 = v + i*f, -13 = v - 2*f - 2*f. Calculate q(v). -1 Let z(n) = 2*n - 1. Let w be 2*((-42)/(-20) - 6/(-15)). Let v be (-4)/(-2) - (-5 + w + -5). What is z(v)? 13 Let z(j) = -13*j**3 - 2*j**2 + 7*j - 5. Let c(f) = 46*f**3 + 6*f**2 - 21*f + 14. Let u(g) = 2*c(g) + 7*z(g). Calculate u(2). 7 Let z(a) = 13*a**2 - 50*a + 92. Let v(b) = 3*b**2 - 13*b + 23. Let k(m) = -9*v(m) + 2*z(m). What is k(16)? -7 Let c(k) = 5*k + 27. Let b(i) = -11*i - 59. Let r(d) = 4*b(d) + 9*c(d). Calculate r(-4). 3 Let z be (6/7)/(((-6)/(-14))/3). Let q(v) = 10*v**3 - 3 + 0 - 11*v**3 + z*v**2 - 4*v + 2. Determine q(4). 15 Let k(j) = -j - 4. Let z(g) = -2*g - 4. Let l(i) = 3*k(i) - 2*z(i). Let n(y) = 2*y - 12. Let v(b) = -17*l(b) + 6*n(b). Calculate v(-4). 16 Let b(o) = -12*o - 111. Let a be b(-9). Let f(v) = 3*v + 3. Give f(a). -6 Let y = 93 + -185/2. Let k(m) be the third derivative of 7*m**2 + y*m**3 - 1/120*m**6 + 0*m - 1/3*m**4 + 0 + 7/60*m**5. Calculate k(5). 13 Let z(i) = i**3 - 5*i**2 + 3*i - 4. Let n = 119 - 55. Let t be (n/40)/(2/5). What is z(t)? -8 Let s(f) = -f**2 + f - 5. Let l(k) = 4*k - 112. Let o be l(29). Give s(o). -17 Let h(o) = o + 9 + 0 - 2. Let d be h(-7). Let z(c) = 6*c - 4*c - c + c**2 + 16. What is z(d)? 16 Let w(k) be the first derivative of -k**2 + 8*k - 2. Let n = -284 + 290. Determine w(n). -4 Let m(v) = v**2 - 10*v - 10. Suppose 0 = 14*k + 290 + 1404. Let d = k + 132. Determine m(d). 1 Suppose -378*p = -374*p - 44. Let d(l) = l**2 - 13*l + 16. Give d(p). -6 Let x(r) = r**3 + 9*r**2 + 3*r - 8. Let i(b) = -b + 11. Let u be i(6). Let c = -3 - u. Determine x(c). 32 Let f(b) = -7*b - 47. Let a be f(-7). Suppose -5*m + 19 = 2*q, -16 + 39 = 5*m + 4*q. Let x(p) = -m + a*p**2 - 4*p**2 - 2*p - 5*p + p**2. Give x(-5). 7 Let d(i) = i - 3. Let n be 130/(-455) + (-30)/(-7). Determine d(n). 1 Let q(u) be the second derivative of -u**7/840 + u**6/40 - u**5/120 + 5*u**4/24 - 8*u**3/3 + 19*u. Let x(z) be the second derivative of q(z). What is x(9)? -4 Let j(q) = 4*q**2 - q + 4 - 6*q**2 - 3*q**2 + 7*q**2 - 6*q**2. Determine j(-3). -29 Let n(g) be the second derivative of g**4/12 + 8*g**3/3 - 9*g**2 + 3*g. Let z be n(-17). Let a(c) = 4*c**3 + c**2 + 2*c + 1. Determine a(z). -4 Suppose -10 = 3*m + 2. Let b = 1 + m. Let a(n) = 5*n - 7. Let j(v) = -v + 1. Let f(z) = -a(z) - 4*j(z). What is f(b)? 6 Let f(z) = 1. Suppose 0 = -41*i + 42*i - 4. Let j(n) = -n**2 + 5*n + 3. Let t(w) = i*f(w) + j(w). Determine t(6). 1 Let c(h) be the second derivative of -h**5/20 + h**4/3 + h**3/6 + 10*h + 2. Let u = -11 - -5. Let x be (-4)/(-6) + (-20)/u. Determine c(x). 4 Let q(b) = -b + 5. Let i(y) = -3*y + 16. Let a(x) = -3*i(x) + 8*q(x). What is a(4)? -4 Let f = -10 - -17. Let r(g) be the first derivative of -g**5/20 + g**4/2 + 5*g**3/3 - 5*g**2 + 2*g - 3. Let v(t) be the first derivative of r(t). What is v(f)? 11 Let p(n) = -132 + 263 - 134 - n. Determine p(-7). 4 Let b(t) = 2*t**2 - 5*t - 1. Let v = -17 - -19. Suppose v*o = -4*u + 22, -2*o = -4*u + 5*u - 10. Calculate b(u). 11 Let w(t) = -t**2 + 3*t. Let j be 2/1 + 75/3. Let o = -19 + j. Suppose 12*m = o*m + 12. Determine w(m). 0 Let j(y) = 17*y**2 + 28. Let n(k) = -20*k**2 - k - 29. Let q(p) = -7*j(p) - 6*n(p). What is q(-9)? 5 Let t(h) be the first derivative of h**6/360 + h**4/24 - 2*h**3/3 - 1. Let a(b) be the third derivative of t(b). Let f be (-45)/12 - 24/(-32). Give a(f). 10 Let f(g) = -2*g - 6. Let b = -363 + 358. Determine f(b). 4 Let t(p) be the second derivative of p**3/6 - p**2/2 - p. Suppose 0 = -29*a + 31*a - 6. Suppose -4*l - 3 + 4 = 3*c, a*c = 4*l - 31. Calculate t(l). 3 Let p(s) be the third derivative of s**5/60 + 3*s**4/8 - s**2 - 21. Let l = 117 - 126. Calculate p(l). 0 Let j(r) = -r**3 - r**2 + 5*r + 4. Let w(c) = c**2 + c + 1. Let m(o) = j(o) - 5*w(o). Give m(-6). -1 Suppose f + 6 = -3*s + 16, -4*s + 8 = 2*f. Let a(j) = j**3 - 4*j**2 + 3. Let o be a(4). Let k(t) = -1 + o*t - 2*t + 0. Give k(s). 5 Let z = 3 - 3. Let w(s) be the second derivative of -s**4/12 + s**3/6 + 28*s. Give w(z). 0 Let s(p) be the third derivative of p**6/120 - p**5/15 - p**4/24 - 2*p**3/3 - 891*p**2. What is s(5)? 16 Let u(l) = 3*l**3 + 3*l**2 + l - 9. Let f(k) = -k**3 - k**2 - 1. Let p(x) = -4*f(x) - u(x). Give p(0). 13 Suppose 0*d - 3*d = 0. Let o(s) be the third derivative of s**6/120 - s**5/60 - s**4/24 - s**3/6 - 267*s**2. Give o(d). -1 Let z(u) = -u**2 + u - 2. Suppose 2*x - 95 + 27 = 0. Suppose 2*j - 4*h = x + 4, h - 3 = 0. Suppose 5*r + j = p - 4*p, 4*r + 20 = p. Give z(p). -2 Let r(p) = p**3 + 3*p**2 - p. Let z be r(-3). Suppose -c + 1 = -4*m, 17 = -0*c + z*c - 5*m. Let i(s) = c*s - 18*s + 8*s - 6. Calculate i(-8). 2 Let z(k) = k - 6. Let g = -20 - -21. Suppose -2*f = x - 0*f + g, 2*x + f = 4. Let r be 6*(-2)/(-3) + x. What is z(r)? 1 Suppose 0 = -y + 3, -3*i + 5*i - 2*y = -2. Let f(z) be the first derivative of 1/2*z**i - 4*z + 2/3*z**3 + 1. Calculate f(-3). 11 Let i(m) be the second derivative of -m**4/12 + m**3/2 + 3*m**2 + 206*m. Determine i(7). -22 Let x be ((-4)/(-10))/((-1)/25). Let o(h) be the third derivative of h**6/120 + 11*h**5/60 + 5*h**4/12 + 13*h**3/6 - 8*h**2. What is o(x)? 13 Let a(u) = -u**3 + 11*u**2 + 6*u + 8. Let r(h) = 2*h**3 - 23*h**2 - 12*h - 17. Let c(y) = -9*a(y) - 4*r(y). Calculate c(8). 12 Let x(v) = -v**2 - 6*v + 3. Let r(t) = t**3 + t - 1. Let l(n) = r(n) + x(n). What is l(3)? 5 Let u(h) =
{ "pile_set_name": "DM Mathematics" }
(a) 4 (b) 6 (c) 1/9 (d) -10 b What is the fourth smallest value in -0.42, 0.3, 1, -2? 1 What is the third biggest value in 2, 11, 3/4, 3, -1? 2 Which is the third biggest value? (a) 4 (b) 344 (c) 6 (d) -0.2 a Which is the third smallest value? (a) 2/167 (b) -6 (c) -1/7 a Which is the third biggest value? (a) -4 (b) 3 (c) 2/3 (d) -8 (e) -1 e Which is the third biggest value? (a) 17 (b) 3 (c) -2 c Which is the third smallest value? (a) -7 (b) 0.2 (c) 2 (d) -8 b What is the second biggest value in 28, 3, -0.5, -0.2, 41? 28 Which is the second smallest value? (a) 1/2 (b) -0.1 (c) 1 a What is the third biggest value in -3, 1/4, -1/11, 0.5? -1/11 Which is the third smallest value? (a) -0.059 (b) 0.2 (c) -3/5 (d) -0.5 (e) 0 a Which is the smallest value? (a) -50/3 (b) -0.3 (c) 1/2 a Which is the second smallest value? (a) -3 (b) 6 (c) 360 (d) 1/2 (e) -1/5 e What is the smallest value in -0.77, 3, 0.11? -0.77 What is the biggest value in -1/4, 2, -279, 2/9? 2 What is the second biggest value in 5, 2/11, -262? 2/11 What is the biggest value in -2/45, -0.035, 2? 2 Which is the third biggest value? (a) 0 (b) 6 (c) -122 c What is the third smallest value in -339, -1, 0.3? 0.3 What is the fourth smallest value in 0.06, -6/5, 1/67, -4? 0.06 What is the smallest value in -1.68, 0.5, -0.3? -1.68 Which is the fourth smallest value? (a) -2/19 (b) -1/6 (c) -18 (d) -1/4 a What is the second smallest value in -5, -0.09, 19? -0.09 What is the biggest value in -30, 4, -123? 4 Which is the biggest value? (a) 1/2 (b) -1 (c) 0.1 (d) 0.02 a What is the smallest value in -0.2, -6/5, -0.05, 4? -6/5 What is the third smallest value in -1, -2, 84? 84 Which is the second smallest value? (a) -280 (b) -0.6 (c) -3 c What is the biggest value in 3/5, -206, -3? 3/5 Which is the second smallest value? (a) 6 (b) -73 (c) -0.3 (d) 1/9 c What is the fourth biggest value in -17.9, -5/3, -0.1, 5? -17.9 What is the smallest value in -0.4, -6/5, 15? -6/5 What is the third smallest value in 16, -1, 10, 1/4, 0.4? 0.4 What is the third biggest value in 0.01, -0.09, -3, -2? -2 Which is the third biggest value? (a) 9 (b) -2 (c) -0.04 b What is the second smallest value in -2, -3/2, 0.1? -3/2 What is the second biggest value in 1/3, 0, 2/9, 6/5, -2? 1/3 Which is the third biggest value? (a) -2 (b) -33.66 (c) 0.1 b What is the second smallest value in 0.6, 34, 5? 5 What is the second smallest value in 78, 0.4, 3/8, 3, -1? 3/8 Which is the second biggest value? (a) 2/15 (b) -25 (c) 17 (d) -2 a What is the smallest value in -2/65, -2/3, 0.1, 0.2? -2/3 Which is the second biggest value? (a) -174/7 (b) 0 (c) -5 c What is the second biggest value in -0.3, -2.3, 4, -4? -0.3 Which is the second biggest value? (a) 0.1 (b) 0.5 (c) -2/13 a Which is the fourth smallest value? (a) -0.4 (b) 0.04 (c) -4/3 (d) -1 b Which is the fourth biggest value? (a) -0.4 (b) 0.5 (c) 73/2 (d) -0.3 a Which is the second smallest value? (a) -3/5 (b) 1 (c) 0.04 (d) -2/21 (e) 2 d Which is the biggest value? (a) -0.07 (b) 1 (c) 1/40 (d) 4 d Which is the smallest value? (a) 1/4 (b) 16 (c) 5 (d) -2/35 d What is the third biggest value in 16, -0.5, -0.02? -0.5 What is the third biggest value in 4/9, -5, 7/4? -5 Which is the fourth biggest value? (a) -31 (b) 1/2 (c) 2/3 (d) -0.2 a Which is the fourth biggest value? (a) 0.5 (b) 0.1 (c) -27/7 (d) 1/6 c Which is the fourth smallest value? (a) -5 (b) -2/5 (c) 5.2 (d) 4 c Which is the second biggest value? (a) -1 (b) 3 (c) -1/2 (d) -3 (e) -0.4 e Which is the biggest value? (a) -1 (b) 1/4 (c) 0.4 (d) -0.05 (e) 8 e Which is the third smallest value? (a) 2 (b) 7 (c) 1 b What is the third smallest value in 1, -3/8, 3? 3 What is the third biggest value in -0.7, 0.5, 1.1? -0.7 Which is the fourth smallest value? (a) 0.3 (b) 3 (c) -1/4 (d) -34 b Which is the third biggest value? (a) -1/4 (b) -56/3 (c) 1 b Which is the fourth smallest value? (a) 0.02 (b) -0.4 (c) 6 (d) 0 (e) 1 e What is the fourth smallest value in -1/7, -1, -20, -4? -1/7 Which is the third smallest value? (a) -4 (b) 16 (c) -0.04 b Which is the second biggest value? (a) -2 (b) -5 (c) -816 b Which is the third smallest value? (a) 0.03 (b) -0.5 (c) 0 (d) -1 c What is the second biggest value in 2/15, -1, -3/5, -0.3? -0.3 What is the biggest value in 9, -9/34, -0.3? 9 What is the second smallest value in -2/19, -0.2, -0.1, -14200? -0.2 Which is the smallest value? (a) 3 (b) 0.3 (c) 4 (d) -136 d Which is the third biggest value? (a) 0.05 (b) -0.4 (c) -0.5 c What is the second biggest value in 0.4, 3, 4, -204? 3 Which is the smallest value? (a) 28 (b) 0.13 (c) -4 c What is the biggest value in -4, -60, 1/2, -3? 1/2 What is the second biggest value in -7, 2/73, -2/7, 1/8? 2/73 What is the smallest value in -33, 2/17, -0.3, -3? -33 What is the second smallest value in 31/2, 0.1, -0.1, -0.2, 2/5? -0.1 What is the fourth biggest value in -0.3, 0.4, 4/51, -0.1, -6? -0.3 Which is the second smallest value? (a) 0.1 (b) 14 (c) -15 (d) -0.5 d What is the third smallest value in -2, -9, -0.1, 1? -0.1 What is the third smallest value in 0.3, -3, 2/9? 0.3 Which is the third smallest value? (a) -0.06 (b) -2 (c) 4 c Which is the third smallest value? (a) 0 (b) 132 (c) -1/2 (d) -4 a What is the third smallest value in -3, 0.3, -77? 0.3 What is the biggest value in 2/7, -3/5, -22703? 2/7 Which is the second smallest value? (a) 2/117 (b) 6 (c) 1/6 c Which is the biggest value? (a) -6 (b) -22/37 (c) 5/4 c Which is the biggest value? (a) 316 (b) -1 (c) 0.1 a What is the second biggest value in -18, 3/4, 27? 3/4 Which is the biggest value? (a) -1 (b) 6 (c) 0.5 b What is the biggest value in 0.3, 7, -0.2, 2/3? 7 What is the second smallest value in -0.1, 2/21, 5? 2/21 Which is the second smallest value? (a) -0.2 (b) 0.004 (c) -21 a What is the second biggest value in 1/3, -40, 1/2, -2/13? 1/3 Which is the third smallest value? (a) -3 (b) 4 (c) 4417 c Which is the third biggest value? (a) 1/2 (b) -0.2 (c) -325/2 (d) -2/3 (e) -0.4 e Which is the fifth biggest value? (a) -4 (b) 4 (c) 2/37 (d) -3 (e) 1 a Which is the smallest value? (a) -2/7 (b) -0.3 (c) -2 (d) 12 (e) 6.5 c What is the third biggest value in -44, -4/5, 0, 5? -4/5 What is the third smallest value in -1/2, -22, -1? -1/2 Which is the third biggest value? (a) 4/19 (b) -1/11 (c) 7 b Which is the fourth biggest value? (a) -0.1 (b) 8 (c) 1 (d) 4 a What is the third biggest value in 4, -0.1, -0.055, 0.2? -0.055 What is the smallest value in 1/241, 4, 0.2? 1/241 What is the third smallest value in -0.3, 3/2, -0.4? 3/2 What is the fourth smallest value in -88, -0.56, -4, -1? -0.56 Which is the smallest value? (a) 2 (b) -13/12 (c) 3 b What is the biggest value in 4/5, -0.5, 1/3, -1? 4/5 What is the fourth smallest value in 5, 0, -2, -3/4? 5 What is the biggest value in 3/46, -3/2, -5/2? 3/46 Which is the biggest value? (a) -1/7 (b) 0 (c) -204 (d) -2/19 (e) -3 b What is the biggest value in -1, 2, 1/2? 2 Which is the third biggest value? (a) -0.03 (b) 5 (c) -0.04 (d) -3/2 c What is the second biggest value in 6, -5, 1? 1 Which is the second smallest value? (a) 3 (b) -4 (c) 31 (d) -3 d Which is the smallest value? (a) 0.91 (b) -5 (c) -0.5 b Which is the second biggest value? (a) -1/3 (b) 6/11 (c) 1/4 (d) -1/2 (e) -2/5 c Which is the second smallest value? (a) 35/2 (b) -5 (c) 0.09 (d) 2/3 c What is the second biggest value in -2/15, 2/7, 14/3? 2/7 Which is the biggest value? (a) 0 (b) 4/1015 (c) 0.3 c What is the third biggest value in 2, 0.5, 80, 5? 2 Which is the second biggest value? (a) 3 (b) -143 (c) 2/5 c What is the third smallest value in -0.5, -9/2, -1, 2/21? -0.5 What is the fourth biggest value in -3, -11, 3, 18? -11 What is the biggest value in 175, -28, -1? 175 What is the second smallest value in 3, -2/203, -74? -2/203 What is the fourth smallest value in 0.4, -2, -2/9, -5/7, -4? -2/9 What is the biggest value in -1/29, 0.4, 1, 3? 3 What is the third smallest value in -2/3, 9, 5? 9 What is the smallest value in 2/23, 23, 4, -3? -3 Which is the fourth small
{ "pile_set_name": "DM Mathematics" }
**5/15 - 5*h**4/18 + 14*h**3/9 + 8*h**2/3 - 2*h + 51. Determine c, given that q(c) = 0. -4, -1/2, 2 Let 2*h**5 + 4/3*h**2 + 0 - 34/3*h**3 + 16/3*h - 16/3*h**4 = 0. Calculate h. -1, 0, 2/3, 4 Determine b so that -9/8*b + 1/8*b**2 + 1 = 0. 1, 8 Suppose -22/9*l**2 - 8/3*l + 2/3*l**4 + 2/9*l**5 - 8/9 - 2/9*l**3 = 0. What is l? -2, -1, 2 Let o(i) = -4*i**2 + 202*i + 195. Let b(t) = t**2 - 68*t - 65. Let y(m) = -11*b(m) - 4*o(m). Factor y(f). 5*(f - 13)*(f + 1) Let -1/2*q**3 + 0*q + q**2 + 0 = 0. Calculate q. 0, 2 Let x = -269 + 274. Let o(q) be the second derivative of -1/33*q**3 + 1/55*q**6 + 0*q**2 - 7/110*q**5 + x*q + 5/66*q**4 + 0. Factor o(n). 2*n*(n - 1)**2*(3*n - 1)/11 Let n(d) = 21 - 4*d + 2*d + 2*d + d**2. Let t(f) = -4. Let u(m) = -2*n(m) - 11*t(m). Find z such that u(z) = 0. -1, 1 Let i be (598/364)/23*56. Solve 16/5*g**i - 36/5 - 42/5*g + 4*g**2 + 8*g**3 + 2/5*g**5 = 0 for g. -3, -2, -1, 1 Factor 10/3*z - 7/3*z**2 - 1. -(z - 1)*(7*z - 3)/3 Let x(h) = -h**3 + h + 2. Let q be 3 + -1 + 2 + -2. Let s(a) = a**2 + 1. Let c be 0/(-7) - (2 - 0). Let i(o) = c*s(o) + q*x(o). Let i(u) = 0. Calculate u. -1, 1 Let t be (36/126)/((-7)/((-686)/35)). Find u such that -1/5*u**2 + t - 3/5*u = 0. -4, 1 Suppose -b = -4*a + 132, b + 3*a + 2*a = -177. Let n be (-10)/95 + (-130)/b. Suppose 3/4*p**2 - n + 0*p = 0. What is p? -1, 1 Let o = -228/7 + 1154/35. Let k(b) be the second derivative of 0 + o*b**3 + 3/50*b**5 - 3/10*b**2 - 6*b - 1/4*b**4. Suppose k(n) = 0. What is n? 1/2, 1 Let u = 9 + -7. Suppose 0*a - a + u = 0. Factor -2*r**3 + 8*r**3 - 10*r + 8*r**a - 4 - r**3 + r**3. 2*(r - 1)*(r + 2)*(3*r + 1) Factor -9*r**4 + 16*r**3 - 5*r**3 + 24 - 124*r + 85*r**2 - 15*r**2. -(r - 2)**2*(r + 3)*(9*r - 2) Let f(n) be the first derivative of 3*n**4/4 - 9*n**2/2 - 6*n + 51. Factor f(i). 3*(i - 2)*(i + 1)**2 Let v(o) = -o**2 + 26*o + 4. Let g be v(26). Suppose -4*p + 6 = -2, -j + g = p. Determine i so that 3/2*i**j + 9/2 + 15/2*i - 3/2*i**3 = 0. -1, 3 Suppose -34*t + 77*t = 172. Factor 2*y + 3/2*y**2 + 1/2*y**t - 2*y**3 - 2. (y - 2)**2*(y - 1)*(y + 1)/2 Let k(r) = -r**3 + r**2 - r + 1. Let h(i) = -i**3 - 4*i**2 + 3*i + 2. Let x(s) = 2*h(s) - 4*k(s). Factor x(d). 2*d*(d - 5)*(d - 1) Suppose 0*p - 5*p - 48 = -2*q, 0 = -q - 3*p + 35. Let r = 59/2 - q. Suppose -1/2*c**2 + r + 0*c = 0. Calculate c. -1, 1 Suppose 2*u + 5*f = 30, 4*u = -12*f + 13*f + 16. Let i(g) be the second derivative of 1/50*g**u - 2/5*g**2 + 0 - 1/5*g**3 + 0*g**4 + g. Factor i(y). 2*(y - 2)*(y + 1)**2/5 Let h(k) = 37*k + 187. Let x be h(-5). Factor 0 - 1/2*a**3 + 1/3*a**x + 0*a + 1/6*a**4. a**2*(a - 2)*(a - 1)/6 Suppose 9 = -11*p + 18*p - 4*p. Find i, given that -1/3*i**4 - 11*i**2 - 10/3*i**p - 40/3*i - 16/3 = 0. -4, -1 Let n(x) be the third derivative of 0 + 1/660*x**6 - 1/66*x**4 + 1/330*x**5 - 15*x**2 + 0*x**3 + 0*x. Factor n(m). 2*m*(m - 1)*(m + 2)/11 Suppose -6*v = 3*c - v + 28, 16 = -2*c - 4*v. Let h be (8 + -5)/((-6)/c). Determine z so that 36*z**4 + 72*z**3 - h*z - 12 - 14 + 32*z**2 + 22 = 0. -1, -1/3, 1/3 Let v(y) = -2*y + 6. Let s be v(2). Suppose -35*x**s + 28*x**2 + 15*x - 1 - 8 + x**3 = 0. What is x? 1, 3 Suppose -4*n - 52 = -5*m, 3*m + 2*m - 3*n = 49. Let p = m - 6. Factor 0 + 2/9*y**3 - 4/9*y**p + 2/9*y. 2*y*(y - 1)**2/9 Let f = -80 - -82. Let j be (-2)/(-1) + (2 - f). Factor 1/5*y**j - 2/5 - 1/5*y. (y - 2)*(y + 1)/5 Suppose 10 = -33*n + 28*n. Let g(a) = -a**2 - a + 1. Let d(b) = -55*b**2 - 11*b. Let k(w) = n*g(w) - d(w). Factor k(h). (3*h + 1)*(19*h - 2) Let n(b) be the first derivative of -1/3*b**4 - 8/3*b + 8/3*b**2 + 2/15*b**5 - 2/3*b**3 - 12. Factor n(l). 2*(l - 2)*(l - 1)**2*(l + 2)/3 Find q, given that -1/3*q**2 + 1/9*q**4 - 4/3*q**3 + 38/9*q - 8/3 = 0. -2, 1, 12 Let v = -20 + 107. Let c = v - 84. Determine q so that 0 - 2/3*q**2 + 0*q + 0*q**c + 2/3*q**4 = 0. -1, 0, 1 Let n = 2 + 0. Suppose 0 = 5*d - 2*v - 12, 6*d + 5*v = 2*d + 3. Find o such that 6*o**n - 4*o**3 + 16*o - 22*o**d + 8*o**3 = 0. 0, 2 Let a(d) be the second derivative of 4*d**5/25 + 106*d**4/15 - 43*d**3/6 + 27*d**2/10 - 763*d. Solve a(u) = 0. -27, 1/4 Determine z, given that -51/4*z + 3*z**4 + 35/2*z**2 + 7/2 - 11*z**3 - 1/4*z**5 = 0. 1, 2, 7 Let h = 564 - 557. Let m(c) be the first derivative of 1/2*c**3 - h + 0*c + 0*c**2. Solve m(q) = 0. 0 Suppose -3*d - 2*w - 11 + 1 = 0, 2*d - 5*w - 25 = 0. Let o(h) be the second derivative of 1/4*h**4 - 4*h + d*h**2 + 0 + 3/20*h**5 - h**3. Solve o(r) = 0 for r. -2, 0, 1 Let h(i) = -4*i + i**2 + 5*i + 4 - 3*i. Let a be h(2). Determine z, given that 40*z**3 + 11*z**3 + 48*z**5 + 6*z**2 + 181*z**a - 61*z**4 = 0. -2, -1/4, 0 Let d(j) be the third derivative of j**5/180 + 11*j**4/72 - 2*j**3/3 + 373*j**2. Factor d(b). (b - 1)*(b + 12)/3 Suppose 8 = -c + 5*c. Determine z, given that -3*z**2 + 25 - 30*z + 6*z**c + 50 = 0. 5 Suppose -17*f + 625 = -12*f. Let t = 125 - f. Find h such that t - 4/9*h**2 + 0*h = 0. 0 Let n = 14655/2 - 7326. Factor -1/2*q**2 - 3/4 + 5/4*q**4 + 1/4*q**5 + n*q**3 - 7/4*q. (q - 1)*(q + 1)**3*(q + 3)/4 Let t(p) be the third derivative of p**5/20 - 23*p**4/2 + 1058*p**3 + 2*p**2 + 80. Solve t(a) = 0 for a. 46 Let l(u) be the third derivative of 0 + 2*u**2 - 1/120*u**5 - 1/6*u**3 + 0*u - 1/360*u**6 + 1/12*u**4. Let j(c) be the first derivative of l(c). Factor j(o). -(o - 1)*(o + 2) Let g = 1 - -7. Let s = -2441 - -7339/3. Let 2/3*m**3 - 4*m**2 - s + g*m = 0. What is m? 2 Factor -3/5*a**2 - 72/5 - 42/5*a. -3*(a + 2)*(a + 12)/5 Let s = 6 - 6. Suppose 3*n = -s*n + 6. Let -19*q**3 - 5*q**5 + 22*q**2 + 4*q**5 + 7*q**4 - 16*q - 5*q**n + 8*q**2 + 4 = 0. What is q? 1, 2 Let y(h) = 6*h**2 - 30*h - 16. Let g(r) = 3 + r + 0 - 4 + 0. Let f(o) = -4*g(o) - y(o). Suppose f(n) = 0. Calculate n. -2/3, 5 Let v(w) be the first derivative of 0*w + 7/40*w**5 + 3/8*w**4 + 0*w**2 + 1/60*w**6 - 6 - 2*w**3. Let u(q) be the third derivative of v(q). Factor u(d). 3*(d + 3)*(2*d + 1) Let q(o) be the first derivative of -8*o**5/5 - 3*o**4 + 16*o**3/3 + 6*o**2 - 8*o + 35. Find x such that q(x) = 0. -2, -1, 1/2, 1 Let y be (1 + 0)/(8/24). Suppose -3*k + y + 42 = 0. What is s in -65 + 15 + k*s + 5*s - 2*s**2 = 0? 5 Let l = 4533/4 + -1133. Solve 5/4*z**2 - 2*z + 1 - l*z**3 = 0 for z. 1, 2 Let x be ((-4)/(-10))/((-7)/(-1540)). Let w = 133 - x. Find g, given that w*g**2 + 12 + 6*g**3 - 8*g**4 - 9*g**4 + 2*g**4 - 48*g = 0. -2, 2/5, 1 Let c(k) = 3*k - 3. Let x be c(2). Suppose 3*g = -3, 16 + 0 = x*d - g. Factor -3*l**5 - 3*l**2 - 58*l**4 + d*l**3 + 61*l**4 - 2*l**3. -3*l**2*(l - 1)**2*(l + 1) Factor -4*h + 31428*h**2 + 52 - 4*h**3 + 8*h - 31480*h**2. -4*(h - 1)*(h + 1)*(h + 13) Let v be (12*(-10)/700)/((-1)/7). Let d(l) be the first derivative of -2/5*l**2 + v*l - 6 + 2/45*l**3. What is f in d(f) = 0? 3 Let f(t) be the first derivative of t**6/180 + 2*t**5/15 - 3*t**4/4 + 9*t**3 - 39. Let v(h) be the third derivative of f(h). Factor v(w). 2*(w - 1)*(w + 9) Suppose 0 = -8*z + 5*z + 9. Let x(h) be the second derivative of 0*h**2 + 1/15*h**4 + 1/50*h**5 + 1/15*h**z + 0 + 3*h. Factor x(r). 2*r*(r + 1)**2/5 Let -38/7*l + 0 + 78/7*l**2 - 6*l**3 + 2/7*l**4 = 0. What is l? 0, 1, 19 Let c(s) be the third derivative of 5*s**8/336 + s**7/14 - 5*s**6/12 + s**5/6 + 15*s**4/8 - 25*s**3/6 - 4*s**2. What is d in c(d) = 0? -5, -1, 1 Let x = -524 - -527. Let u(c) be the second derivative of 0 + 5*c + 8/7*c**2 + 10/7*c**x + 1/6*c**4. Factor u(q). 2*(q + 4)*(7*q + 2)/7 Let w = 6 + -6. Suppose w = -3*a - 5*l + 14, a - 4*l = -a + 2. Solve 15*r**3 + a*r**3 + 8*r**4 - 4*r**2 + 8*r**2 = 0 for r. -2, -1/4, 0 Suppose -26*v + 180 = 34*v. Determine u so that -1/3*u**5 - 8/3*u**v - 4/3*u**2 + 0*u + 0 - 5/3*u**4 = 0. -2, -1, 0 Let m be (-646)/20 - (-1)/(-2). Let h = -32 - m. Factor h + g**2 - 12/5*g. (g - 2)*(5*g - 2)/5 Let a(u) be the third derivative of -u**5/30 - 13*u**4/6 + 9*u**2 + 9*u. Determine w, given that a(w) = 0. -26, 0 Let g(y) be the first derivative of 80/3*y - 220/3*y**2 - 4 + 605/9*y**3. Factor g(f). 5*(11*f - 4)**2/3 Let b(p) be the second derivative of 5*p**5/18 + 365*p**4/54 - 149*p**3/27 + 5*p**2/3 - 636*p. Suppose b(l) = 0. What is l? -15, 1/5 Let a be -1*3/3 - -4. Factor y**4 - 6*y**a - y + y**4 + y + 4*y**2. 2*y**2*(y - 2)*(y - 1) Let c(y) be the second derivative of y**2 + 10*y - 1/30*y**6 + 1/6*y**
{ "pile_set_name": "DM Mathematics" }
21 Which is smaller: 0.07548 or 12? 0.07548 Is -199 less than -1917? False Which is smaller: -1 or 1/297670? -1 Which is smaller: -90451 or -90472? -90472 Is 1/9580076 at least -1? True Is -21625/131 at least as big as -164? False Which is greater: -5/3 or 307? 307 Is 2/5 != 4.29309? True Which is smaller: -2684626 or -2684625? -2684626 Which is bigger: 49 or 4555/93? 49 Which is smaller: 0 or 380/3623? 0 Do 0 and -1/9021 have the same value? False Is 0.62 < 5691? True Which is bigger: 95621 or 95611? 95621 Is -0.202 < 151/7? True Is 0 <= 1/5983680? True Is 687/3941 at least 1? False Which is smaller: -2874758 or -2874759? -2874759 Is 29095 equal to 29094? False Is 64020 at least 64020? True Is 400 at most 2521? True Is -99252 at least as big as -99252? True Which is greater: -89 or 260? 260 Does -4/9821 = 1? False Is 3341 at least 3343? False Is -97/2 at most as big as 1239? True Is -21185 >= -21185? True Is 8/42027 > 1? False Is 33 at least -7/185? True Is -179 greater than -10448? True Is 3 less than -148210? False Which is smaller: -13/74335 or -1? -1 Is -146442/7 >= -20920? False Is 976/13 smaller than -7.3? False Is -6073406 not equal to -6073407? True Which is greater: 9464 or 9414? 9464 Which is smaller: -6 or 30500? -6 Which is smaller: -6/109 or 70? -6/109 Which is bigger: 151970 or 1367722/9? 151970 Is -0.02513 greater than or equal to 1.1? False Is -2/11427333 greater than or equal to 0? False Is 2843 less than 2843? False Which is smaller: 14338 or 14335? 14335 Is 1081 > -1/283? True Which is smaller: 155.2 or -0.113? -0.113 Is -174 > -104? False Which is smaller: 12/25 or 5055? 12/25 Is -7619 bigger than -7616? False Which is smaller: -98166 or -98165? -98166 Is -386834 not equal to -386835? True Which is smaller: -793 or 365? -793 Is -16645 bigger than -16658? True Which is smaller: -1 or -25/153757? -1 Which is smaller: -2/7 or -733953? -733953 Is -2353/487 at least -5? True Is -1718994 > -1718993? False Is 4308860 less than 4308860? False Which is smaller: 3971.2 or -3? -3 Which is bigger: 209771 or 209772? 209772 Do 13/697979 and -1 have the same value? False Is 7310/41 at least as big as 177? True Do -542 and -7038/13 have different values? True Do 28823 and 28823 have the same value? True Are 11/52856 and 0 unequal? True Which is greater: 54474 or 54476? 54476 Which is smaller: -26 or 57684? -26 Which is smaller: 0 or -964/7743? -964/7743 Which is bigger: 8/29429 or -1? 8/29429 Are 1/1281 and 2 equal? False Do -1 and -297/2936 have the same value? False Is 1263 at most as big as 1257? False Is 581995 <= 581995? True Which is bigger: -51315 or -51308? -51308 Which is smaller: 966 or 24.61? 24.61 Do -5260367 and -5260366 have different values? True Which is bigger: 10776 or 10773? 10776 Which is smaller: -352718 or -352723? -352723 Which is smaller: -675704 or -675706? -675706 Is 0 > -685/8694? True Which is smaller: -52156 or -52242? -52242 Is 605609 greater than or equal to 605612? False Which is smaller: 935732 or 935730? 935730 Do 6867 and -0.04 have the same value? False Is 7954 <= 23860/3? False Which is smaller: 32 or 7249/219? 32 Which is smaller: 28869 or 28878? 28869 Does 22029 = 22036? False Which is bigger: -2567861 or -2567862? -2567861 Which is bigger: 1 or 2/1181221? 1 Is 12/48869 less than 0? False Which is smaller: -1 or 11/133609? -1 Which is bigger: -499778 or 0.7? 0.7 Is -13/695 < -0.6? False Is 118 equal to -3910? False Which is smaller: -3261628 or 0.1? -3261628 Which is smaller: -1 or -658/9197? -1 Which is smaller: -7476 or -7200? -7476 Which is smaller: 5/72924 or -1? -1 Which is smaller: -29763/5 or -5954? -5954 Which is bigger: 66402 or 66396? 66402 Is -3/44104 greater than or equal to -2/41? True Is -122482/3 != -40827? True Is 595002 > 595000? True Is -0.2 smaller than -111/3130? True Are -8067 and -8065 non-equal? True Which is smaller: -1745 or -212? -1745 Is 733/111 <= 2? False Which is greater: 27/17 or 30.9? 30.9 Which is smaller: 23/20 or -11/17? -11/17 Are -2727022 and -2727022 non-equal? False Which is greater: -5393 or -5433? -5393 Is -26924 at most as big as -1? True Which is bigger: -0.2741 or 0.05? 0.05 Which is greater: -47944 or -47951? -47944 Which is bigger: -208189 or -208192? -208189 Which is bigger: 8/389 or -9? 8/389 Which is greater: 2197/27 or -0.1? 2197/27 Is -408 greater than -522? True Is -1 at most 955/57? True Which is bigger: 0 or 85/1153? 85/1153 Which is bigger: 2/7 or 22293? 22293 Are -92757 and -92757 equal? True Which is smaller: -1 or -4/17885? -1 Which is greater: -107/95 or 0? 0 Which is bigger: 678 or 29172/43? 29172/43 Are 2.138 and -14 unequal? True Are -9905 and -9905 equal? True Is -5881 bigger than 22? False Are -59835 and -59836 equal? False Is 2 smaller than 1078/2015? False Is 125 <= 9840/79? False Is -35065 less than or equal to -385701/11? True Which is greater: 7767/37 or 210? 210 Is 16622/13 at most 1279? True Does -749794 = -749794? True Which is bigger: 36 or -9/130? 36 Is -277588 != -277588? False Which is greater: 178342 or 1/2? 178342 Is -1153939 greater than or equal to -1153938? False Is 711220 greater than 711227? False Is -4/86725 greater than or equal to 0? False Which is smaller: 143648 or -18? -18 Is 152 greater than or equal to 582? False Which is smaller: -1986 or -1936? -1986 Which is greater: 137.2 or 1/4? 137.2 Which is smaller: -1/4201649 or 0? -1/4201649 Which is smaller: -328 or -707? -707 Are 1210 and 14527/12 nonequal? True Are -10 and 97864 nonequal? True Which is bigger: 4999 or 4? 4999 Which is smaller: -10528 or -10530? -10530 Is -19/14 != 1.007? True Is -3 != -11554? True Is -7 <= 4332? True Is -4278/2687 at most -1? True Does -90040 = -90044? False Is 27 at most 3906? True Is 57 not equal to 2271? True Which is greater: 113/887 or -3? 113/887 Is -78/11113 at most as big as -1? False Which is bigger: -2/3 or -3/647251? -3/647251 Which is smaller: -63949/11 or -5815? -5815 Is 28 equal to 2310? False Is -50272 bigger than -50274? True Are -5396/715 and -8 equal? False Is -97934 <= -97934? True Which is bigger: 2/362585 or 0? 2/362585 Is -21 greater than or equal to 247/12? False Is 390 at least as big as 217? True Which is greater: -331 or -372? -331 Which is greater: 1/42 or -11.1? 1/42 Which is bigger: 1 or -1/5538? 1 Which is bigger: -211624 or -211620? -211620 Do 144876 and 144876 have the same value? True Is -1/10 greater than or equal to 1019? False Is 228/1337 at most 1? True Are -931902/13 and -71684 equal? False Which is greater: -11 or -7018/701? -7018/701 Which is greater: -4293.3 or 8? 8 Which is bigger: -586 or 258? 258 Which is greater: -322 or -342? -322 Which is greater: 45 or 3/94? 45 Which is smaller: -87.4107 or 0? -87.4107 Which is bigger: -977/980 or 0? 0 Are -5450 and -5445 equal? False Which is bigger: -86/2185 or 1? 1 Are 1 and -3/2173175 unequal? True Is 520/27 greater than -0.59? True Is 0.2 less than 159/22229? False Which is smaller: -36/7637 or -1? -1 Which is bigger: -17167 or -17170? -17167 Is 1 smaller than 1/1938750? False Is -2/6806051 bigger than 1? False Which is bigger: 25557 or 25552? 25557 Which is smaller: 5 or 2369? 5 Which is smaller: -41/3 or 620? -41/3 Is 0 greater than or equal to -80/219? True Which is smaller: 554 or 616? 554 Is 0 smaller than -909/4055? False Are -3684 and -3694 unequal? True Which is bigger: -34918 or -34916? -34916 Which is smaller: 72302 or 72303? 72302 Does -13494 = -13491? False Which is smaller: 0 or 239/3773? 0 Which is smaller: 21 or -14287? -14287 Which is bigger: -2.786 or -3/7? -3/7 Is 2134 greater than 2122? True Is 0 at most as big as -287/7614? False Which is smaller: -1 or -44/217? -1 Is 3 greater than or equal to -145/517? True Is -1055 > 84? False Is 2/73871 at most -1? False Which is smaller: -6841 or -6743? -6841 Which is smaller: -135598 or 2/11? -135598 Is 2000 smaller than -4? False Is -1342 != -7/4? True Is 4577 equal to 32040/7? False Which is smaller: -29.7 or 8473? -29.7 Which is smaller: 1/270310 or -1? -1 Which is smaller: -22 or -8051/371? -22 Is -1/2 greater than 648104? False Which is smaller: -34 or 0.0508? -34 Which is greater: -15 or -1/220? -1/220 Which is smaller: 8584 or 257503/30? 257503/30 Which is smaller: 10585/22 o
{ "pile_set_name": "DM Mathematics" }
:02 AM How many minutes are there between 8:58 AM and 8:08 PM? 670 What is 207 minutes before 1:46 PM? 10:19 AM How many minutes are there between 7:48 AM and 7:05 PM? 677 What is 677 minutes before 9:02 AM? 9:45 PM How many minutes are there between 3:06 AM and 10:52 AM? 466 How many minutes are there between 6:04 AM and 8:57 AM? 173 How many minutes are there between 7:36 AM and 12:00 PM? 264 What is 320 minutes after 7:28 AM? 12:48 PM How many minutes are there between 1:19 PM and 12:37 AM? 678 What is 6 minutes after 9:27 AM? 9:33 AM How many minutes are there between 12:23 PM and 11:50 PM? 687 What is 159 minutes after 12:36 PM? 3:15 PM What is 458 minutes before 10:09 AM? 2:31 AM How many minutes are there between 12:48 AM and 12:17 PM? 689 How many minutes are there between 2:53 AM and 9:05 AM? 372 What is 191 minutes before 12:45 AM? 9:34 PM How many minutes are there between 3:15 PM and 5:10 PM? 115 How many minutes are there between 5:39 AM and 11:23 AM? 344 What is 581 minutes after 3:52 AM? 1:33 PM What is 528 minutes after 11:54 AM? 8:42 PM How many minutes are there between 3:29 AM and 1:11 PM? 582 How many minutes are there between 12:12 AM and 11:21 AM? 669 What is 670 minutes after 10:58 PM? 10:08 AM How many minutes are there between 5:45 AM and 9:59 AM? 254 What is 19 minutes after 11:57 AM? 12:16 PM How many minutes are there between 7:02 PM and 10:24 PM? 202 What is 173 minutes before 8:32 PM? 5:39 PM How many minutes are there between 5:50 AM and 8:30 AM? 160 What is 309 minutes after 5:24 PM? 10:33 PM How many minutes are there between 7:31 AM and 2:05 PM? 394 What is 98 minutes before 1:55 AM? 12:17 AM How many minutes are there between 11:57 AM and 7:01 PM? 424 What is 181 minutes after 11:39 AM? 2:40 PM How many minutes are there between 7:55 AM and 1:08 PM? 313 How many minutes are there between 6:55 AM and 8:27 AM? 92 What is 195 minutes before 6:55 PM? 3:40 PM What is 289 minutes before 3:32 AM? 10:43 PM How many minutes are there between 6:22 AM and 6:33 AM? 11 How many minutes are there between 10:19 PM and 6:40 AM? 501 How many minutes are there between 4:23 PM and 1:39 AM? 556 How many minutes are there between 7:25 AM and 12:53 PM? 328 What is 505 minutes before 5:19 PM? 8:54 AM What is 525 minutes after 4:01 AM? 12:46 PM What is 342 minutes after 12:27 AM? 6:09 AM What is 646 minutes before 1:55 PM? 3:09 AM How many minutes are there between 7:11 PM and 1:37 AM? 386 How many minutes are there between 2:44 PM and 4:28 PM? 104 How many minutes are there between 2:51 PM and 1:21 AM? 630 What is 60 minutes before 4:03 AM? 3:03 AM What is 53 minutes after 4:06 PM? 4:59 PM How many minutes are there between 9:54 PM and 3:17 AM? 323 How many minutes are there between 10:55 AM and 5:20 PM? 385 What is 149 minutes after 3:26 PM? 5:55 PM How many minutes are there between 3:51 PM and 1:50 AM? 599 How many minutes are there between 10:50 AM and 7:24 PM? 514 How many minutes are there between 1:03 AM and 3:35 AM? 152 What is 255 minutes before 2:05 AM? 9:50 PM What is 223 minutes after 10:35 PM? 2:18 AM How many minutes are there between 9:28 PM and 3:27 AM? 359 How many minutes are there between 5:45 PM and 7:51 PM? 126 What is 11 minutes after 11:10 AM? 11:21 AM What is 627 minutes after 6:23 PM? 4:50 AM How many minutes are there between 2:20 AM and 3:13 AM? 53 How many minutes are there between 10:43 AM and 5:21 PM? 398 What is 588 minutes before 12:55 AM? 3:07 PM What is 295 minutes after 12:24 PM? 5:19 PM How many minutes are there between 8:28 PM and 9:01 PM? 33 What is 538 minutes before 1:33 PM? 4:35 AM How many minutes are there between 9:31 PM and 12:00 AM? 149 How many minutes are there between 6:37 AM and 9:27 AM? 170 How many minutes are there between 5:14 PM and 6:30 PM? 76 What is 128 minutes before 8:27 PM? 6:19 PM How many minutes are there between 5:06 PM and 10:51 PM? 345 What is 387 minutes before 4:52 AM? 10:25 PM What is 128 minutes before 10:17 AM? 8:09 AM How many minutes are there between 8:55 PM and 5:17 AM? 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{ "pile_set_name": "DM Mathematics" }
u) = -2*u - 1. Let c(w) be the first derivative of 5*w**2/2 + 2*w + 1. Suppose -8646*j - 20 = -8641*j. Calculate j*c(t) - 9*o(t). -2*t + 1 Let o(n) = -23*n**3 + 3*n**2 + 3*n + 2. Let x(u) = -24*u**3 + 4*u**2 + 4*u + 3. Calculate -5*o(a) + 4*x(a). 19*a**3 + a**2 + a + 2 Suppose 2*w + 0 = -4, -3*j = -5*w - 25. Let t(v) = -4*v**3 + 3*v - 3. Let c(a) = -7*a**3 - 255 + 131 + 5*a + 118. Give j*t(g) - 3*c(g). g**3 + 3 Let n(o) = -476*o**2 + 157*o**2 + 163*o**2 - 17 + 4 + 19*o + 158*o**2. Let s(i) = i**2 + 9*i - 6. Determine -6*n(r) + 13*s(r). r**2 + 3*r Let g(x) = 4*x + 5. Let k be 4/5 - 1296/270. Let y(t) be the first derivative of 3*t**2/2 + 4*t - 1. Determine k*g(i) + 5*y(i). -i Let d(m) = -30*m**2 + 21*m - 21. Let o(r) be the second derivative of r**4/2 - 2*r**3/3 + 2*r**2 + 8*r + 6. Determine -4*d(q) - 21*o(q). -6*q**2 Let f(w) = -2*w**2 + 1. Suppose v + 6*r + 12 = r, 5*v + 5*r + 20 = 0. Suppose -20 = -6*j + 10. Let s(t) = -4*t**2 - t + 2. Determine j*f(p) + v*s(p). -2*p**2 + 2*p + 1 Let d = -40 - -49. Let z be d/2*(-6)/(-9) + -2. Let k(u) = 5*u - 25. Let y(g) = -1. Give z*k(w) - 25*y(w). 5*w Let m(y) = 6*y**3 - 14*y**2 + 2. Let v(r) be the first derivative of -r**4/4 + r**3/3 + 294. Calculate -m(b) - 12*v(b). 6*b**3 + 2*b**2 - 2 Let c be -1*8/(-4) - 0. Let b(i) = -7*i - 35. Let t(u) = 3*u + 17. Let v(j) = -4*b(j) - 9*t(j). Let p(r) = 0 + 0 + 3. Calculate c*v(d) + 9*p(d). 2*d + 1 Let c(r) = -r + 1. Let i be ((-36)/(-48))/(3/2). Let u(z) be the first derivative of -2 - 3*z + i*z**2. Calculate -3*c(f) - u(f). 2*f Suppose 15 = 2*m + 11. Let y(f) = 5*f + m - 3 - 4*f. Let h(z) = -1. Suppose 4*c + 3*n = -19 + 3, -3*n - 7 = -5*c. Give c*h(t) - y(t). -t + 2 Let a(t) = t**2 - t - 2. Suppose -85*f - 130 = -555. Let g(m) = -2*m**2 + 2*m + 3. Give f*a(k) + 4*g(k). -3*k**2 + 3*k + 2 Let s(y) be the first derivative of 23*y**4/4 + 4*y**3/3 + 2*y**2 - 799. Let a(w) = 551*w**3 + 95*w**2 + 95*w. Calculate 4*a(d) - 95*s(d). 19*d**3 Let x(m) = -m**2 + m + 1. Let o = -173 - -174. Let y(g) = -6*g**2 + 2*g + 4. Calculate o*y(v) - 4*x(v). -2*v**2 - 2*v Let b(a) = 5*a**3 - 10*a**2 - 4*a. Let z(m) = -5*m**3 + 12*m**2 + 5*m. Let d(c) = 3*b(c) + 2*z(c). Let k(r) = 4*r**3 - 7*r**2 - 2*r. What is -6*d(s) + 5*k(s)? -10*s**3 + s**2 + 2*s Let v(x) = 10*x + x + 3 + 1 + 7 - 9*x**2. Suppose 2*n - 5*n + 3*j + 12 = 0, -4*n + 34 = 5*j. Let y(l) = -5*l**2 + 6*l + 6. Calculate n*v(m) - 11*y(m). m**2 Let g(c) = -c - 2. Let f(r) = 1. Suppose -2*a + 2*s = -10, -5*a - 3*s + 2*s + 1 = 0. What is a*g(t) + 6*f(t)? -t + 4 Let k(j) = j + 31. Let f be k(-15). Let r(s) = 7*s - 5. Let w(o) = -22*o + 16. Determine f*r(b) + 5*w(b). 2*b Let z = -50 + 49. Let u(a) = -a**3 + a + 1. Let d(k) = -4 - 3*k**2 - k**2 + 3*k**3 + 2*k**2 - 4*k. What is z*d(b) - 4*u(b)? b**3 + 2*b**2 Let o(p) = -4*p**3 + 4 + 7 + 5*p - 5. Let w(l) be the first derivative of l**4/4 - l**2/2 - l - 1. Calculate -o(h) - 5*w(h). -h**3 - 1 Let o(d) = 13*d - 3 - 27*d + 11*d - 4*d**2. Let s(y) = -y**2 - y - 1. Let c = 7 - 6. Give c*o(t) - 3*s(t). -t**2 Let q(t) = t - 1. Suppose -b - 4 = -x, 4*b = -3 - 13. Let h(u) = -u - 2. Let l be h(x). Let z(s) = -6*s + 7. What is l*z(m) - 14*q(m)? -2*m Let h(n) = 7*n. Let y(c) = 6*c. Let u be (102/85)/((-46)/20 - -2). Give u*h(l) + 5*y(l). 2*l Let f(g) = -g - 2. Let y(s) = s - 483. Calculate -2*f(d) - y(d). d + 487 Let m(y) = -10*y**2 - 5*y + 4. Let i(k) = -11*k**2 - 7*k + 5. Determine -6*i(t) + 7*m(t). -4*t**2 + 7*t - 2 Let d(w) = w. Let r be 7 + 0 - (1 - -3). Let s(i) = 1. Let n(v) = r*d(v) - s(v). Let j(t) = 1 - 4 + 8*t + 0 + 1. Give 4*j(a) - 11*n(a). -a + 3 Let h(y) = -21*y - 6. Let m(o) = 21*o + 5. Give -4*h(l) - 5*m(l). -21*l - 1 Let n(i) = 16*i**2 - 151. Let m(o) = -13*o**2 + 151. Calculate -6*m(x) - 5*n(x). -2*x**2 - 151 Let c(d) = -155*d - 5. Let k(w) = -464*w - 14. What is 11*c(t) - 4*k(t)? 151*t + 1 Suppose 0 = -5*r - x + 197, 3*x - 123 = -5*r + 2*r. Let o(w) = 13*w**2 - 39*w. Let u(v) = -v. What is r*u(k) - o(k)? -13*k**2 Let j(t) = 2*t - 6. Suppose w = s + 18, -2*w - s = -0*s - 24. Let o be (-2)/(-6)*234/(-6). Let c = o + w. Let p(v) = 1. Give c*j(u) + 6*p(u). 2*u Let q(c) = 6*c**2 - 2*c. Let a be -19*((-448)/(-76) + -6). Let t(h) = 24*h**2 - 9*h. Determine a*t(l) - 9*q(l). -6*l**2 Let b(v) = -6*v**2. Let n(z) = 6*z**2 + 0*z**2 + z**2 - 9*z**2. Suppose -9 = -h - 2*s, -s = -h - 0*s. What is h*b(a) - 8*n(a)? -2*a**2 Let u(f) = 917*f**3 + 4*f - 4. Let q(o) = -70610*o**3 - 307*o + 307. What is 4*q(g) + 307*u(g)? -921*g**3 Let p(c) = c. Let t(j) = 3*j. Let q(d) = -2*d. Let k(n) = -10*q(n) - 6*t(n). Calculate 4*k(r) - 7*p(r). r Let v(z) = 14*z - 17. Let h(u) = 2*u + 3. What is -4*h(y) + v(y)? 6*y - 29 Let f(d) = d**3 - 4*d**2 - 7*d - 5. Suppose -17*w + 135 - 169 = 0. Let s(x) = 2*x**2 + 3*x + 2. Give w*f(n) - 5*s(n). -2*n**3 - 2*n**2 - n Let k(f) = -8*f**3 - 8*f**2 + 9*f + 20. Let a(n) = -3*n**3 - 3*n**2 + 3*n + 6. What is 7*a(z) - 2*k(z)? -5*z**3 - 5*z**2 + 3*z + 2 Let x(i) = -242*i + 728*i - 244*i + 1 - 243*i. Let l(w) = -2*w + 1. Calculate 5*l(h) - 4*x(h). -6*h + 1 Let q(d) = -88*d - 775. Let m be q(-9). Let r(t) = -5*t**3 + 8*t**2 + 6*t - 1. Let c(h) = 15*h**3 - 23*h**2 - 17*h + 3. Give m*r(v) + 6*c(v). 5*v**3 - 2*v**2 + 1 Let g(f) = -f. Let d(y) = 3*y - 8 - 1 + 11 - 2. Determine -3*d(l) - 15*g(l). 6*l Let d(i) = 3*i**2 + 3*i. Let j(b) = 8*b**2 + 4*b - 20*b**2 + 15*b**2. Suppose 21*g = 14*g + 28. Give g*d(l) - 3*j(l). 3*l**2 Let z(h) = -4*h**2 + 3*h - 7. Let k(d) = 4*d**2 - 2*d + 9. What is -3*k(x) - 4*z(x)? 4*x**2 - 6*x + 1 Suppose -12*v - 125 = -65. Let p(o) = -18*o. Let x(l) = -9*l. What is v*x(h) + 3*p(h)? -9*h Let t(b) = 5*b + 5. Let p(x) = 31*x - 63*x + 33*x + 1. What is -4*p(w) + t(w)? w + 1 Let j(a) = -1236*a + 824. Let y(n) = -2*n + 1. Give j(w) - 824*y(w). 412*w Let f(o) = -o + 1. Let n be f(8). Let a(l) = -10*l**2 + 3. Let y = 40 - 29. Let h = -9 + y. Let d(m) = -3*m**2 + 1. Give h*a(k) + n*d(k). k**2 - 1 Let m(b) = b**3 + b + 5. Let r(g) = -2*g**3 - 3*g - 9. Let t(q) = -7*m(q) - 4*r(q). Let z(u) = -6*u + 2*u**3 - 3*u**3 + 1 - 2 - u**3. What is -6*t(v) - 5*z(v)? 4*v**3 - 1 Let b(z) = -78*z**2 - 9. Let i(v) = 38*v**2 + 5. Give -6*b(w) - 11*i(w). 50*w**2 - 1 Let d(m) = -4*m - 7. Let b(h) = -h - 2. Let o(a) = 3*b(a) - d(a). Let u be ((-6)/4)/(1/(-2)). Let f(z) = 10 - 4*z - 5 + 6*z. What is u*o(c) - f(c)? c - 2 Let h(q) = 2*q + 25. Let d(n) = -2*n - 26. Give -3*d(x) - 4*h(x). -2*x - 22 Let c(s) = 2*s**2 + 9. Let o(t) = t - 1. Let n be o(5). Let b(m) = -m**2 - 5. Give n*c(v) + 7*b(v). v**2 + 1 Let q(k) = 6*k - 1. Let l(m) = 5*m - 1. Let z(o) = -9*o - 165. Let b be z(-18). Calculate b*q(a) + 4*l(a). 2*a - 1 Let k = 248 - 251. Let h(o) = 5*o**3 + 2*o**2 + 3. Let l(q) = -11*q**3 - 5*q**2 - 7. What is k*l(n) - 7*h(n)? -2*n**3 + n**2 Let q(c) = 1545 + 3*c + 0*c - 7*c**3 - 1548. Let x(t) = -36*t**3 + 14*t - 14. Give -14*q(w) + 3*x(w). -10*w**3 Let d(u) = -u**2 + 4*u + 5. Let w be d(5). Suppose -z - z - 4 = w. Let f(q) = 4 + 4*q - 3*q + 4 - 3. Let r(m) = 1. What is z*f(g) + 9*r(g)? -2*g - 1 Let d(i) = -i**3 - 5*i**2 + i - 33. Let x(a) = -3*a**3 - 14*a**2 + 3*a - 98. What is -17*d(t) + 6*x(t)? -t**3 + t**2 + t - 27 Let l(x) = -2*x - 5. Let z = -25 + 29. Let o(s) = 5 + 13 + 0 + 6*s - z. What is 8*l(k) + 3*o(k)? 2*k + 2 Suppose 10*j + 60 = 70*j. Let a(v) = v**3 - v**2 + v + 1. Let p(r) = 3*r**3 - 5*r**2 + 6*r + 3. Give j*p(f) - 6*a(f). -3*f**3 + f**2 - 3 Let y(n) be the first derivative of -5*n**2 + 473. Let d(c) be the first derivative of c**2 - 1. Calculate -14*d(k) - 3*y(k). 2*k Let r(w) = 10*w**3 + 4*w**2 + w. Let p(b) = 15*b**3 + 3*b**2 + 6*b + 28. Let g(n) = n**3 + n**2 - n - 7. Let i(s) = -4*g(s) - p(s). What is -4*i(z) - 7*r(z)? 6*z**3 + z Let w(a) = 5*a + 3. Let v(m) = 11*m + 7. Let q(b) = -b**3 + 5*b**2 - 18*b + 31. Let s be q(3). Suppose 0 = 3*i - 3 - 3. Give i*v(h) + s*w(h). -3*h - 1 Let d(g) be the third derivative of -g**4/24 - 129*g**2. Let f = 10 - 4. Let i(u) = -4*u. What is f*d(m) - i(m)? -2*m Let a(j) = -22*j**2 + j + 850. Let m(x) = -26*x**2 + x + 849. Calculate 6*a(c) - 5*m(c). -2*c**2 + c + 855 Let y(k) = -5*k - 17. Let u(m) = -11*m - 35. Calculate -3*u(z) + 7*y(z). -2*z - 14 Let l(k) = -7*k - 8. Let d(h) = 15*h + 15. What is 4*d(y) + 9*l(y)? -3*y - 12 Let p(t) = 4*
{ "pile_set_name": "DM Mathematics" }
st common divisor of 187 and 11033. 187 Calculate the highest common factor of 65 and 403. 13 What is the highest common divisor of 736 and 23? 23 What is the greatest common factor of 28 and 910? 14 What is the highest common divisor of 26 and 351? 13 What is the highest common factor of 675 and 1600? 25 Calculate the highest common factor of 816 and 11220. 204 What is the greatest common divisor of 2152 and 8? 8 Calculate the greatest common factor of 20 and 10. 10 Calculate the greatest common factor of 65 and 104. 13 What is the highest common divisor of 964 and 33499? 241 Calculate the highest common divisor of 112 and 32. 16 What is the greatest common factor of 128 and 48? 16 Calculate the greatest common factor of 39 and 9. 3 What is the highest common divisor of 32 and 104? 8 Calculate the greatest common divisor of 70 and 182. 14 Calculate the greatest common factor of 1271 and 82. 41 Calculate the greatest common factor of 9325 and 50. 25 What is the highest common divisor of 220 and 180? 20 What is the greatest common factor of 9775 and 340? 85 Calculate the greatest common divisor of 215 and 5. 5 What is the highest common divisor of 13589 and 127? 127 Calculate the greatest common divisor of 2794 and 88. 22 Calculate the highest common divisor of 14 and 294. 14 Calculate the highest common factor of 16 and 1144. 8 What is the greatest common factor of 980 and 1568? 196 What is the highest common factor of 1320 and 1920? 120 Calculate the greatest common divisor of 408 and 6732. 204 What is the highest common divisor of 40 and 520? 40 Calculate the greatest common factor of 471 and 9. 3 Calculate the highest common factor of 8229 and 39. 39 Calculate the highest common factor of 324 and 225. 9 What is the greatest common factor of 108 and 18549? 27 Calculate the highest common factor of 204 and 1956. 12 Calculate the greatest common factor of 75 and 2750. 25 What is the greatest common divisor of 710 and 10? 10 Calculate the greatest common factor of 44 and 16. 4 Calculate the highest common factor of 1946 and 42. 14 What is the highest common factor of 513 and 7353? 171 Calculate the highest common factor of 375 and 17925. 75 What is the greatest common divisor of 44 and 121? 11 Calculate the highest common divisor of 216 and 1800. 72 Calculate the highest common divisor of 12 and 1866. 6 What is the greatest common divisor of 22547 and 7? 7 Calculate the highest common divisor of 26429 and 741. 247 What is the greatest common factor of 12 and 6564? 12 What is the highest common factor of 231 and 99? 33 Calculate the greatest common divisor of 814 and 37. 37 What is the highest common divisor of 75 and 3? 3 What is the highest common divisor of 116 and 203? 29 Calculate the greatest common divisor of 35 and 5. 5 Calculate the highest common divisor of 5694 and 156. 78 Calculate the highest common factor of 819 and 3393. 117 Calculate the greatest common divisor of 1776 and 30. 6 Calculate the highest common factor of 2 and 170. 2 Calculate the greatest common divisor of 2 and 11. 1 Calculate the highest common factor of 728 and 360. 8 Calculate the highest common factor of 34 and 23528. 34 What is the highest common factor of 134 and 4623? 67 Calculate the highest common divisor of 76 and 1. 1 Calculate the highest common divisor of 6 and 23082. 6 What is the greatest common factor of 6774 and 6? 6 What is the highest common factor of 188 and 282? 94 What is the greatest common factor of 120 and 116? 4 Calculate the highest common factor of 11169 and 146. 73 What is the greatest common factor of 70 and 14? 14 What is the highest common divisor of 472 and 8? 8 Calculate the highest common factor of 108 and 84. 12 Calculate the highest common divisor of 126 and 90. 18 Calculate the greatest common factor of 1158 and 6. 6 What is the greatest common divisor of 293 and 1? 1 What is the greatest common divisor of 112 and 35? 7 What is the highest common divisor of 1144 and 104? 104 Calculate the highest common divisor of 639 and 21. 3 Calculate the highest common factor of 567 and 315. 63 Calculate the greatest common divisor of 1972 and 12. 4 What is the highest common divisor of 770 and 590? 10 What is the greatest common divisor of 1991 and 187? 11 What is the greatest common factor of 1606 and 132? 22 What is the highest common factor of 8330 and 1715? 245 Calculate the highest common divisor of 126 and 174. 6 Calculate the highest common divisor of 6462 and 54. 18 Calculate the highest common divisor of 8 and 1. 1 Calculate the greatest common divisor of 2231 and 161. 23 Calculate the greatest common factor of 1270 and 25. 5 Calculate the highest common factor of 45 and 81. 9 What is the greatest common factor of 216 and 60? 12 What is the greatest common divisor of 7 and 10913? 7 What is the greatest common factor of 476 and 17? 17 Calculate the greatest common divisor of 8772 and 136. 68 What is the highest common divisor of 189 and 70? 7 Calculate the greatest common factor of 15 and 615. 15 What is the greatest common divisor of 17 and 17? 17 Calculate the highest common divisor of 85 and 95. 5 What is the greatest common divisor of 112 and 18004? 28 Calculate the highest common divisor of 55 and 1133. 11 What is the highest common divisor of 1517 and 962? 37 Calculate the greatest common factor of 112 and 112. 112 Calculate the highest common divisor of 56 and 448. 56 What is the greatest common divisor of 12389 and 13? 13 Calculate the highest common factor of 1551 and 705. 141 Calculate the highest common divisor of 1545 and 1957. 103 Calculate the greatest common divisor of 320 and 1088. 64 What is the greatest common divisor of 416 and 2336? 32 Calculate the greatest common divisor of 1104 and 690. 138 What is the highest common factor of 437 and 23? 23 What is the greatest common factor of 288 and 63? 9 Calculate the highest common factor of 42 and 574. 14 What is the highest common divisor of 343 and 98? 49 Calculate the highest common factor of 36 and 666. 18 What is the greatest common divisor of 4 and 7? 1 What is the highest common factor of 1884 and 24? 12 Calculate the greatest common divisor of 560 and 240. 80 What is the greatest common divisor of 671 and 61? 61 What is the highest common factor of 11 and 10681? 11 Calculate the highest common factor of 1404 and 108. 108 What is the greatest common divisor of 146 and 4? 2 Calculate the greatest common factor of 33 and 6. 3 Calculate the greatest common factor of 2303 and 98. 49 What is the highest common factor of 324 and 36? 36 What is the highest common divisor of 36 and 27? 9 What is the greatest common factor of 11 and 2? 1 Calculate the greatest common factor of 14847 and 294. 147 What is the highest common divisor of 60 and 1080? 60 Calculate the greatest common factor of 91 and 130. 13 Calculate the greatest common factor of 252 and 27. 9 What is the greatest common divisor of 4550 and 200? 50 Calculate the highest common divisor of 20 and 5. 5 What is the greatest common divisor of 603 and 268? 67 What is the greatest common divisor of 10348 and 78? 26 Calculate the greatest common divisor of 13393 and 681. 227 What is the greatest common divisor of 1785 and 240? 15 Calculate the greatest common divisor of 94 and 12079. 47 What is the greatest common divisor of 121 and 22? 11 Calculate the highest common divisor of 273 and 975. 39 What is the greatest common factor of 1551 and 33? 33 What is the highest common factor of 925 and 1295? 185 Calculate the greatest common divisor of 28061 and 11. 11 Calculate the highest common factor of 3624 and 24. 24 Calculate the greatest common divisor of 2 and 778. 2 Calculate the greatest common factor of 1080 and 240. 120 Calculate the greatest common divisor of 68 and 1139. 17 What is the greatest common factor of 7 and 287? 7 Calculate the highest common divisor of 2527 and 361. 361 What is the highest common divisor of 88 and 88? 88 Calculate the greatest common divisor of 392 and 441. 49 What is the highest common divisor of 60 and 4164? 12 What is the greatest common factor of 2916 and 36? 36 Calculate the greatest common divisor of 10 and 50. 10 Calculate the greatest common divisor of 81 and 621. 27 What
{ "pile_set_name": "DM Mathematics" }
89 + 125.8052. 306.2641 What is 1792 take away -326488677? 326490469 Add together -30650537 and 366893. -30283644 0.08+-26299170552556 -26299170552555.92 Work out 7347994 - -7.6962. 7348001.6962 Calculate 106.18 + -53693.15. -53586.97 What is 143381 take away 1563987? -1420606 Subtract 3326045619697 from 22. -3326045619675 1593924 - -200.264 1594124.264 Add -639 and -27946957794. -27946958433 What is 55251549743567 less than 2? -55251549743565 What is -1407403184758 + 7.5? -1407403184750.5 Sum -160669 and -0.0714042. -160669.0714042 Calculate -29659.437021 + 178. -29481.437021 Calculate -2431716.3 - -105.658. -2431610.642 What is 1359831 + 83906857? 85266688 Add -2999597986954 and -0.05. -2999597986954.05 26084535668+0.015 26084535668.015 Add together -63114348052.6 and 59. -63114347993.6 Subtract 1.419 from -2483713957. -2483713958.419 What is -6257981134 minus 15? -6257981149 Sum -128204 and 1890994.22. 1762790.22 -0.3 - 176272273702848 -176272273702848.3 30.79+22870012156.9 22870012187.69 What is -4471124 minus -192102? -4279022 What is 1.08317952 - 129890? -129888.91682048 What is -5.1990269605 take away 5? -10.1990269605 Add together -31.174 and -10.915214. -42.089214 What is the difference between -12061115269406 and -0.02? 12061115269405.98 What is the difference between -33084 and -3366424? 3333340 Total of 167.2980287762 and -0.03. 167.2680287762 What is 4 take away 35613213286486? -35613213286482 What is -3701.796415182 take away -0.25? -3701.546415182 Work out 6158.0229 + 1751. 7909.0229 Add 448921 and 8869.9. 457790.9 Work out -4790 - 10851670856. -10851675646 Add 15251 and 17571165. 17586416 What is the difference between 4 and 0.0762124838395? 3.9237875161605 What is -566701818656 plus -0.9? -566701818656.9 What is 4 + 93672544839.38? 93672544843.38 -1.12363+-56307552.57 -56307553.69363 Work out -18492 - 124.3388498. -18616.3388498 7+-16203895708 -16203895701 What is -964 less than -0.1376396602113? 963.8623603397887 -1324.06537461+0.4 -1323.66537461 Put together 141356044473 and -0.6. 141356044472.4 Add -5 and 7119436056645. 7119436056640 Work out 13.28 - 111551.738409. -111538.458409 What is -1967563745 minus -0.24478? -1967563744.75522 What is -32921033373 + -0.1? -32921033373.1 What is 0.02691044521 take away 27? -26.97308955479 Add together 0.20416 and -80.1482. -79.94404 Add together -2844 and 2152.1413479. -691.8586521 What is -19645 + -0.02723006? -19645.02723006 Work out -4 + -79.360391246. -83.360391246 Add together -54872454239 and -3.7. -54872454242.7 What is the distance between 246139110256 and 0.06? 246139110255.94 Sum -312326 and 1225792. 913466 Total of 7 and 1893223159260. 1893223159267 Subtract -40345141526.4 from -566. 40345140960.4 What is 23110 less than -6051973747? -6051996857 -25607 + -7.23841 -25614.23841 What is the difference between 0.5795517 and 281220? 281219.4204483 15.504 + 21153028002 21153028017.504 Subtract 17085.269535 from 19. -17066.269535 Work out 12167256376418 + -3. 12167256376415 What is 0.41 plus 457.45287809? 457.86287809 What is -7732306 less than -36463690? -28731384 -56469757129612+1 -56469757129611 Calculate -2168794959 + 0.0254. -2168794958.9746 What is 5 less than -200113463808.282? -200113463813.282 What is 0.005 minus 5629864223381? -5629864223380.995 What is 0.2 minus -162882558576948? 162882558576948.2 Total of 346.07932 and 59574. 59920.07932 Total of -0.6127552 and -11729. -11729.6127552 Add 108655816199 and 7.351. 108655816206.351 Add together -475.112 and -112842.5656. -113317.6776 Work out -17407653263 - 809. -17407654072 Add together 46158094586 and -5. 46158094581 -25400192 + -0.48993 -25400192.48993 Add 0.121399323 and -3380.9. -3380.778600677 Work out -86131 - 0.048374842. -86131.048374842 Total of -13037.43 and -2.53. -13039.96 What is -0.194773378671 take away 0.3? -0.494773378671 Total of -111578272 and 62.5. -111578209.5 What is -0.5 + -59796479659? -59796479659.5 What is the distance between 195.724939 and -771? 966.724939 17.376430642 - 0.1 17.276430642 What is 0.4 take away 1942263236829? -1942263236828.6 What is 130135472763 take away -0.1? 130135472763.1 Add together -232238407 and 45684. -232192723 What is -84646 + 48135438? 48050792 What is -1730 - -36.216899? -1693.783101 What is -5973 - -2.3357342? -5970.6642658 Put together 935.098151 and 24.483. 959.581151 Sum 53.24744577 and 32505. 32558.24744577 Work out 3.6 + -7822045054. -7822045050.4 What is -27403962.977 minus 0.284? -27403963.261 Calculate -111575 - -0.01899088526. -111574.98100911474 Sum 4 and -214710828782. -214710828778 Put together 1.94 and -47766628366. -47766628364.06 What is 2807989559.7 + -0.2? 2807989559.5 Sum -113696521765.1 and -0.5. -113696521765.6 -221004+-64.990067 -221068.990067 Calculate -0.111024 + -63.3191617. -63.4301857 Put together -69331062 and -275916. -69606978 -204544050525+1.565 -204544050523.435 What is 54339 take away 8796101? -8741762 Total of 64513220973 and -865. 64513220108 What is -81254 + -6.758853? -81260.758853 Add together 6783516572234 and 0. 6783516572234 84698 + 5743634221 5743718919 Work out 425726061.5 + -723. 425725338.5 What is 0.17840956922 take away -1440? 1440.17840956922 What is 713495044660.8 less than -5.8? -713495044666.6 What is -454.176 take away -30250869.2? 30250415.024 What is -7316419.96 less than -1012? 7315407.96 Calculate -195316474 - -119. -195316355 Sum 0.1102 and -4346637.467. -4346637.3568 Calculate 0.5 - 81489445885134. -81489445885133.5 Work out 0.1 - 239166180849. -239166180848.9 What is -0.37 - -316583343587.64? 316583343587.27 232 + -38885506201 -38885505969 What is -23750312383137 less than 4? 23750312383141 What is 2102547 take away 21.857289? 2102525.142711 What is -71671650632518 plus 0.4? -71671650632517.6 What is the difference between -13.11909 and 30062337? 30062350.11909 What is 981973.579354 + -7? 981966.579354 Sum 0.011483 and 27.250703. 27.262186 20210558 - -192466 20403024 Work out -187368 + -0.852372. -187368.852372 What is -72.01438 - 2937? -3009.01438 Add -0.01 and -651436162997. -651436162997.01 Calculate -5 + -11491014182260. -11491014182265 Work out -6845767485 - 45. -6845767530 Work out 0.1 - 23543207.270608. -23543207.170608 Add 1.04690039957 and -7. -5.95309960043 Work out 136659 + 0.1280244. 136659.1280244 What is -2478 - -24178007.5? 24175529.5 -19 - 0.744882954528 -19.744882954528 Subtract -1.83330349 from -0.23892. 1.59438349 What is -269.27282 less than -299.6? -30.32718 Work out 91747 + -0.23676831. 91746.76323169 -191132746690+-0.11 -191132746690.11 Sum -90958979 and -331730. -91290709 Work out 10571380 + 24404.1. 10595784.1 Work out -0.86278039928 + 0.3. -0.56278039928 Work out 75459254 - -25771. 75485025 Sum 34688.134 and -4666609. -4631920.866 What is -63187305108 take away 477? -63187305585 Sum 5 and 1.6790649319191. 6.6790649319191 What is the distance between 4800222 and 7556? 4792666 Put together 22803.727 and 2432. 25235.727 What is 413148173.819 minus 11.1? 413148162.719 -1.5714 - 20803556 -20803557.5714 Calculate 5800849975287 + -0.1. 5800849975286.9 Add -0.12 and 43.947810564. 43.827810564 What is -10512008614788 + -0.03? -10512008614788.03 Subtract -5575817502580 from -1. 5575817502579 What is -3661.0771 minus 43.12? -3704.1971 Sum -11 and 2901694.5964. 2901683.5964 -0.5 + -13163423354455 -13163423354455.5 1294499.79553 - 13 1294486.79553 What is the distance between -0.5 and 6120485991779.62? 6120485991780.12 What is -161000 plus 0.07934517? -160999.92065483 What is -8180432986685 - 1? -8180432986686 -504655083 + 0.88645 -504655082.11355 -27 - 178171495714 -178171495741 What is -44395403 take away 141832? -44537235 What is the difference between -4973327443 and 0.0509? 4973327443.0509 Total of -152.155 and 425200939. 425200786.845 Calculate 0.3 + 12306128168.5127. 12306128168.8127 Add together -1952.78 and 163753043. 163751090.22 What is -445317027 take away 184? -445317211 Calculate -2089 - -3.278059558. -2085.721940442 Total of -92076 and 7942754.5. 7850678.5 Work out 7009187300 - 127. 7009187173 What is 1021831159 take away 0.3233? 1021831158.6767 5021+301061597 301066618 Put together 2 and -24.28943426519. -22.28943426519 What is 0.1 take away 1737480.1938? -1737480.0938 What i
{ "pile_set_name": "DM Mathematics" }
0693115625 Convert 0.6670589 kilograms to nanograms. 667058900000 Convert 7.679024ml to litres. 0.007679024 How many milligrams are there in 110829.7ng? 0.1108297 How many kilograms are there in 1.866377 tonnes? 1866.377 How many kilograms are there in twenty-one fifths of a tonne? 4200 What is 85216.9 years in millennia? 85.2169 Convert 4798.187 micrometers to millimeters. 4.798187 Convert 20820.42m to nanometers. 20820420000000 How many months are there in fifty-one fifths of a century? 12240 What is three fifths of a microsecond in nanoseconds? 600 How many millilitres are there in 33/5 of a litre? 6600 What is 31/2 of a decade in months? 1860 How many milligrams are there in eleven eighths of a gram? 1375 Convert 2675.705 kilograms to tonnes. 2.675705 How many months are there in 1/30 of a decade? 4 What is 2.074916l in millilitres? 2074.916 What is 4/15 of a century in months? 320 What is 29/6 of a millennium in months? 58000 How many years are there in 0.0771384 millennia? 77.1384 What is 1/16 of a kilometer in centimeters? 6250 How many meters are there in fifty-one halves of a kilometer? 25500 How many micrometers are there in eighteen fifths of a centimeter? 36000 How many nanometers are there in 3/25 of a micrometer? 120 How many years are there in twenty-five quarters of a millennium? 6250 What is 0.4343356g in tonnes? 0.0000004343356 How many micrograms are there in 2.346635t? 2346635000000 What is 46/5 of a decade in months? 1104 What is 1/5 of a kilometer in meters? 200 How many meters are there in seven halves of a kilometer? 3500 Convert 1.190327 millilitres to litres. 0.001190327 What is twenty-five quarters of a hour in seconds? 22500 Convert 3849.595 milliseconds to nanoseconds. 3849595000 What is 5878.18 centuries in millennia? 587.818 Convert 782459.1 litres to millilitres. 782459100 What is 1734.8007 months in millennia? 0.144566725 What is 3/32 of a millennium in months? 1125 What is 60567.017 days in weeks? 8652.431 How many centimeters are there in one fifth of a meter? 20 What is nineteen quarters of a meter in millimeters? 4750 How many decades are there in 0.1797565 millennia? 17.97565 What is 2600.42g in kilograms? 2.60042 How many meters are there in 32/5 of a kilometer? 6400 Convert 36.78385 litres to millilitres. 36783.85 What is 3/8 of a meter in millimeters? 375 Convert 5599.422 meters to kilometers. 5.599422 What is 685825.3l in millilitres? 685825300 Convert 6.815811 kilometers to micrometers. 6815811000 How many millimeters are there in eighteen fifths of a centimeter? 36 How many kilograms are there in 3/5 of a tonne? 600 How many millilitres are there in 321.596 litres? 321596 What is 24.11034ns in microseconds? 0.02411034 Convert 582.737085ns to weeks. 0.0000000000009635203125 What is seven quarters of a millennium in months? 21000 What is 0.5297232 milligrams in grams? 0.0005297232 How many minutes are there in 8/3 of a week? 26880 Convert 4262.482 litres to millilitres. 4262482 What is 6471.119mm in kilometers? 0.006471119 What is three fifths of a millennium in months? 7200 What is 0.89481ng in milligrams? 0.00000089481 How many millimeters are there in 7/2 of a centimeter? 35 How many millilitres are there in 5/8 of a litre? 625 What is 0.9741804 kilometers in nanometers? 974180400000 What is 0.6789028 millilitres in litres? 0.0006789028 How many years are there in 94865.91 decades? 948659.1 What is 7.313883um in meters? 0.000007313883 What is three fifths of a meter in centimeters? 60 How many nanograms are there in eleven halves of a microgram? 5500 How many months are there in 11.54628 decades? 1385.5536 How many millimeters are there in three fifths of a meter? 600 What is 3/10 of a meter in centimeters? 30 How many milligrams are there in 2062.75ug? 2.06275 How many decades are there in fifteen quarters of a millennium? 375 How many decades are there in 33303.37 years? 3330.337 What is 0.6339688g in tonnes? 0.0000006339688 How many meters are there in one fifth of a kilometer? 200 What is 5.175344 tonnes in nanograms? 5175344000000000 Convert 12024.6t to grams. 12024600000 What is five eighths of a kilometer in centimeters? 62500 How many millilitres are there in 51/5 of a litre? 10200 How many nanoseconds are there in 3/25 of a microsecond? 120 How many centuries are there in 891481.5 millennia? 8914815 What is 693980.1mg in micrograms? 693980100 What is 4/21 of a week in minutes? 1920 What is fourty-five quarters of a millennium in decades? 1125 What is 1/5 of a millisecond in microseconds? 200 Convert 375.2412ml to litres. 0.3752412 How many minutes are there in 7/8 of a week? 8820 Convert 5.424881 millilitres to litres. 0.005424881 How many nanometers are there in 34/5 of a micrometer? 6800 How many meters are there in five quarters of a kilometer? 1250 Convert 782343.3ng to tonnes. 0.0000000007823433 What is 5/4 of a litre in millilitres? 1250 What is twenty-one halves of a litre in millilitres? 10500 What is 5/8 of a kilometer in meters? 625 What is 5/4 of a decade in months? 150 What is 7/4 of a second in milliseconds? 1750 What is fifty-five thirds of a week in hours? 3080 What is 8/25 of a litre in millilitres? 320 How many nanograms are there in 0.9154235g? 915423500 How many nanometers are there in nineteen quarters of a micrometer? 4750 What is 7063.075g in nanograms? 7063075000000 How many micrometers are there in one tenth of a millimeter? 100 How many nanometers are there in 27/2 of a micrometer? 13500 How many nanoseconds are there in eleven tenths of a microsecond? 1100 Convert 439.0278 micrograms to kilograms. 0.0000004390278 Convert 260498.3ms to seconds. 260.4983 Convert 8.283273 minutes to hours. 0.13805455 What is 640.3975 kilometers in millimeters? 640397500 What is 2271.854 decades in months? 272622.48 What is 910.8794l in millilitres? 910879.4 How many millilitres are there in three tenths of a litre? 300 How many nanograms are there in one fifth of a microgram? 200 What is 8/15 of a decade in months? 64 How many months are there in seven halves of a century? 4200 How many milligrams are there in 46762.18 tonnes? 46762180000000 What is 1/10 of a centimeter in micrometers? 1000 How many micrometers are there in 879316.7mm? 879316700 How many millilitres are there in fifteen quarters of a litre? 3750 Convert 8.297103l to millilitres. 8297.103 Convert 34490.6ml to litres. 34.4906 How many millilitres are there in nineteen quarters of a litre? 4750 What is 34/5 of a millimeter in micrometers? 6800 What is 3/8 of a microgram in nanograms? 375 Convert 578.1214 years to decades. 57.81214 Convert 930797.6t to milligrams. 930797600000000 How many centuries are there in 12034.1 millennia? 120341 What is 0.3350604 meters in nanometers? 335060400 How many years are there in six fifths of a decade? 12 Convert 208987.8 days to milliseconds. 18056545920000 What is 180.4199ml in litres? 0.1804199 How many hours are there in 68114.763s? 18.9207675 How many seconds are there in 4/75 of a week? 32256 What is six fifths of a tonne in kilograms? 1200 How many millilitres are there in nine tenths of a litre? 900 Convert 7270109.91s to weeks. 12.020684375 How many nanometers are there in 25/8 of a micrometer? 3125 Convert 21.24528 micrograms to kilograms. 0.00000002124528 How many meters are there in seven eighths of a kilometer? 875 What is 548.0431 microseconds in nanoseconds? 548043.1 What is 1/10 of a kilogram in grams? 100 What is 527.6646 days in hours? 12663.9504 How many decades are there in 42/5 of a millennium? 840 How many seconds are there in 216.0082 days? 18663108.48 How many decades are there in 71/5 of a millennium? 1420 How many microseconds are there in eighteen fifths of a millisecond? 3600 Convert 30.42789 millennia to centuries. 304.2789 Convert 1443.562t to kilograms. 1443562 Convert 6.90112 hours to seconds. 24844.032 Convert 7.969142 millennia to decades. 796.9142 What is 9/10 of a litre in millilitres? 900 How many milligrams are there in 312.1806g? 312180.6 How many nanoseconds are there in 11159.54us? 11159540 What is 7/6 of a week in hours? 196 What is 10.83579 hours in days? 0.45149125 How many grams are there in 999.1134 kilograms? 999113.4 How many microgram
{ "pile_set_name": "DM Mathematics" }
n base 2, what is 11100010000 - -100? 11100010100 In base 9, what is -468 - -1? -467 In base 13, what is -5 + 52? 4a In base 8, what is 0 - -50? 50 In base 5, what is 21 + -314? -243 In base 13, what is -4856 - 3? -4859 In base 5, what is -10200 + 3? -10142 In base 12, what is -a1 + -1? -a2 In base 7, what is -25 - -5? -20 In base 15, what is 0 - -70? 70 In base 10, what is -8 - -1? -7 In base 15, what is 7 - -3ee? 406 In base 14, what is -5 + 18dc? 18d7 In base 4, what is -12213 + 1? -12212 In base 9, what is 4 - -12465? 12470 In base 10, what is 1 + -5? -4 In base 10, what is -95 - 93? -188 In base 6, what is 12550 - -12? 13002 In base 16, what is 3 + 4bb? 4be In base 7, what is 0 + -6? -6 In base 5, what is -4 - -1112? 1103 In base 9, what is 5581 - 3? 5577 In base 6, what is -230 - -32? -154 In base 6, what is -5 + 124? 115 In base 14, what is c4 + 5? c9 In base 4, what is -201322 + 3? -201313 In base 16, what is -1 + -90d? -90e In base 2, what is 11 - -1001000000? 1001000011 In base 13, what is -3cc - -1? -3cb In base 14, what is d5 + -24? b1 In base 14, what is -43d - 1? -440 In base 9, what is -114 - 4? -118 In base 11, what is 19 - 260? -242 In base 12, what is 1 + 61? 62 In base 6, what is -4 + -1213? -1221 In base 4, what is 11130 + 10? 11200 In base 13, what is -1 - -55? 54 In base 11, what is 19 + -5? 14 In base 13, what is -54 + -17? -6b In base 7, what is 35 - 5? 30 In base 6, what is -23 - -23? 0 In base 12, what is 55 + -51? 4 In base 3, what is -11201 - -11? -11120 In base 6, what is -5410 - -14? -5352 In base 16, what is 21 - -2? 23 In base 5, what is -4 - -2324? 2320 In base 11, what is 1 - 21? -20 In base 12, what is 1ab - -2? 1b1 In base 7, what is -1643 + 2? -1641 In base 2, what is 1100010 - 1? 1100001 In base 13, what is -4 + -51? -55 In base 2, what is -10 + -1010101? -1010111 In base 3, what is -20110 - -10022? -10011 In base 12, what is 3 + 94a? 951 In base 12, what is 215 - -33? 248 In base 12, what is 7 + -164? -159 In base 11, what is 603 - 5? 5a9 In base 3, what is 11111 + -21? 11020 In base 11, what is 1949 + 2? 1950 In base 15, what is 86 + 1? 87 In base 12, what is 23a - 5? 235 In base 7, what is 1 - -45? 46 In base 2, what is 0 + -11110? -11110 In base 12, what is 2 - -40? 42 In base 16, what is -a7 + -4? -ab In base 4, what is -30220 + -1? -30221 In base 10, what is 4 - 58? -54 In base 5, what is 10 - -113? 123 In base 11, what is 54 - 83? -2a In base 2, what is -101 - -11111? 11010 In base 7, what is -304 - -5? -266 In base 6, what is 21552 - -4? 22000 In base 13, what is -a + -20a? -217 In base 11, what is -3 + 10? 8 In base 5, what is 1144 - -130? 1324 In base 2, what is 11100 + -100? 11000 In base 9, what is 1585 + -3? 1582 In base 9, what is 24 - -2? 26 In base 2, what is -101 + 10100101010? 10100100101 In base 14, what is 6 + 48? 50 In base 10, what is 5 + -1360? -1355 In base 16, what is 2 - -b7? b9 In base 6, what is -525 - 2? -531 In base 9, what is 50 - -4? 54 In base 6, what is -340 + 10? -330 In base 3, what is -11 + 2010? 1222 In base 16, what is 1666 + 2? 1668 In base 6, what is -20 + 51? 31 In base 14, what is 2b - c? 1d In base 8, what is -1 - 1376? -1377 In base 14, what is -6a - a? -76 In base 9, what is 17 + 35? 53 In base 5, what is -2 - 2204? -2211 In base 8, what is -5 + 67? 62 In base 13, what is 2ba0 - 4? 2b99 In base 6, what is 4 - -552? 1000 In base 13, what is 1a2 - 4? 19b In base 5, what is 10232 - 1? 10231 In base 14, what is 77 - -9? 82 In base 15, what is 4 - 3? 1 In base 6, what is 52 + -3? 45 In base 10, what is 43 + 372? 415 In base 12, what is 3 - 610? -609 In base 11, what is 0 + 4? 4 In base 2, what is 11110100011 - 0? 11110100011 In base 9, what is -45 - -5? -40 In base 11, what is 78a + 4? 793 In base 14, what is -7 - -40? 37 In base 16, what is -10 - -6d? 5d In base 2, what is -1 + 100? 11 In base 3, what is 1 + 10020? 10021 In base 14, what is -491 + -3? -494 In base 7, what is 2 - 3206? -3204 In base 4, what is 13 - -110020? 110033 In base 15, what is 1e3 - -4? 1e7 In base 16, what is -2 + 34? 32 In base 14, what is -262 - 2? -264 In base 5, what is 2213 - 0? 2213 In base 11, what is -3 - a4? -a7 In base 16, what is -4 - 297? -29b In base 6, what is 4 - -3042? 3050 In base 6, what is -3435 - -1? -3434 In base 16, what is -3 - 82? -85 In base 7, what is 2 - 2334? -2332 In base 4, what is 1001 - -323? 1330 In base 4, what is 2 - 110? -102 In base 2, what is -1110001 - -10? -1101111 In base 11, what is 3 - -26? 29 In base 5, what is -140 - 2343? -3033 In base 10, what is 123 - 4? 119 In base 8, what is 2630 - -12? 2642 In base 14, what is 1 + b38? b39 In base 3, what is 101 - 2? 22 In base 7, what is -434 - -2? -432 In base 8, what is -33011 + -5? -33016 In base 7, what is 14 - 22? -5 In base 10, what is -2504 - 3? -2507 In base 16, what is -6f + -2? -71 In base 14, what is -34 + 7? -2b In base 2, what is 1100011 + -10011? 1010000 In base 4, what is 23323 - 0? 23323 In base 14, what is 5 + 8a4? 8a9 In base 11, what is -214 + 1? -213 In base 7, what is -5 + 36? 31 In base 14, what is -a39 - -2? -a37 In base 8, what is 305 - 5? 300 In base 14, what is -d0 + 1? -cd In base 6, what is 2 - 11? -5 In base 2, what is -10100 + 1010000? 111100 In base 11, what is -2019 + -2? -2020 In base 2, what is 0 + 1100111? 1100111 In base 11, what is -489 - 4? -492 In base 2, what is -11 - -1011001010? 1011000111 In base 16, what is -6 - -10f? 109 In base 12, what is -5 - -53? 4a In base 4, what is 12 + 21233? 21311 In base 9, what is 2063 - 5? 2057 In base 3, what is 2 + 2222? 10001 In base 3, what is -121012 + 0? -121012 In base 16, what is -3 - -11? e In base 8, what is 476 - -16? 514 In base 13, what is 1 + 2? 3 In base 14, what is 21b + -5? 216 In base 3, what is 0 + 11000? 11000 In base 14, what is 5844 + 5? 5849 In base 7, what is -3365 + 5? -3360 In base 12, what is 29 - 26? 3 In base 14, what is -3 + 14? 11 In base 13, what is 0 + 232? 232 In base 6, what is -13 - -5? -4 In base 10, what is 524 + -5? 519 In base 11, what is 5 + -1a9? -1a4 In base 16, what is -aa - 65? -10f In base 11, what is -118 - 4? -121 In base 7, what is -4 - 46? -53 In base 9, what is 462 - 4? 457 In base 8, what is 0 - -266? 266 In base 12, what is -65 + -4? -69 In base 13, what is 296 - -19? 2b2 In base 13, what is -a5 - -c? -96 In base 2, what is 101 - -1010101100? 1010110001 In base 11, what is -14 - 11? -25 In base 10, what is -74 - 5? -79 In base 3, what is -100000022 + -1? -100000100 In base 9, what is -480 - 2? -482 In base 16, what is 148 - 4? 144 In base 2, what is -100 + 1000011? 111111 In base 4, what is -10 - 1021301? -1021311 In base 11, what is -153 + 2? -151 In base 16, what is 6 - 26? -20 In base 6, what is -400 - 23? -423 In base 4, what is -2 - 1200302? -1200310 In base 6, what is -131255 - -3? -131252 In base 10, what is 4 - -114? 118 In base 10, what is -509 - 0? -509 In base 6, what is -41 - -144? 103 In base 15, what is -4dd - -5? -4d8 In base 9, what is -137 - 3? -141 In base 5, what is -4 + 12? 3 In base 8, what is -4 + 615? 611 In base 7, what is 23 + -1? 22 In base 16, what is 15d - 2? 15b In base 9, what is -5 + 510? 504 In base 13, what is 677 - -2? 679 In base 12, what is 1 + -523? -522 In base 6, what is 45 + -35? 10 In base 15, what is c68 - -4? c6c In base 5, what is 4 + 24203? 24212 In base 6, what is 22 + 4? 30 In base 4, what is 21 - -312? 333 In base 7, what is -11460 + -5? -11465 In base 10, what is -248 + -76? -324 In base 9, what is -1 - 45? -46 In base 8, what is -4275 - -4? -4271 In base 16, what is 1 + -203a? -2039 In base 2, what is -11 + 110011? 110000 In base 4, what is 332 + 12? 1010 In base 3, what is -10 + -200? -210 In base 8, what is -1 + -4652? -4653 In base 11, what is 7 - 12? -6 In base 16, what is -3 - -2fe? 2fb In base 7, what is -20 + 3? -14 In base 7, what is -342 + 16? -323 In base 5, what is -130 - 10? -140 In base 9, what is 5 + -156? -151 In base 13, what is 5 - -c24? c29 In base 9, what is 64 + 16? 81 In base 14, what is -15c - -a? -152 In base 16, what is 1d - 22? -5 In base 2, what is 100 - 1010111? -1010011 In base 13, what is 6 - -188? 191 In base 6, what is 35 - -115? 154 In base 11, what is 28 - -231? 259 In base 11, what is 1 - 17a4?
{ "pile_set_name": "DM Mathematics" }
i(d))? 20*d**2 Let q(v) = -2*v. Let g(d) = -d**2 + 283*d + 2566. Give g(q(a)). -4*a**2 - 566*a + 2566 Let g(o) = -o**3 - 2*o**2 - o + 79. Let b be g(0). Let r(h) = -7*h - 79 + b. Let w(n) = -n**2 + 2*n. Let q(z) = z. Let x(u) = 4*q(u) - 2*w(u). What is x(r(d))? 98*d**2 Let h(c) = 208*c. Let d(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z - 20*z**2 + 0 + 1/60*z**5. What is d(h(p))? 43264*p**2 Let z(a) = a**2. Let n(q) be the first derivative of 157*q**3/6 + 4*q - 65. Let o(r) be the first derivative of n(r). Calculate z(o(k)). 24649*k**2 Let a(t) = t + 5. Let o(l) be the first derivative of 27*l**3 + 3897. What is a(o(f))? 81*f**2 + 5 Let l = -251 - -273. Let c(w) = -25*w - l*w - 23*w + 71*w. Let k(h) = -h**2. Determine k(c(n)). -n**2 Let d(r) = 3*r + 410. Let i(l) = 3*l + 357. Let s(u) = -7*d(u) + 6*i(u). Let j(k) = -k**2. Give j(s(v)). -9*v**2 - 4368*v - 529984 Let l(r) = 2267*r**2. Let h(j) = -1032*j. What is l(h(u))? 2414409408*u**2 Let b(p) = -763*p**2 - 768*p**2 - 758*p**2 + 2307*p**2. Let m(d) = -d - 4. Calculate m(b(i)). -18*i**2 - 4 Let v(n) = 9*n + 1. Let m(u) = 1869*u**2 + 168*u + 336. Let i(o) = 56*o**2 + 5*o + 10. Let s(a) = 168*i(a) - 5*m(a). Calculate v(s(p)). 567*p**2 + 1 Let v(g) be the second derivative of -g**4/4 + 66*g. Let h(q) be the first derivative of -4*q**3/3 - 20. What is v(h(o))? -48*o**4 Let r(s) = 235*s**2. Let y = -407 - -427. Let f(z) = -y*z + 8*z + 13*z. Determine r(f(b)). 235*b**2 Let m(f) be the first derivative of -1/12*f**4 + 0*f**2 + 33*f + 0*f**3 + 25. Let s(r) be the first derivative of m(r). Let o(y) = 5*y**2. What is s(o(g))? -25*g**4 Let z(w) be the third derivative of w**5/20 - 15*w**2 + 7*w. Let h(l) = -440*l. Calculate z(h(q)). 580800*q**2 Let x(c) = 3*c - 1. Let p(b) be the first derivative of -4*b**2 + 3*b + 60. Let y(f) = 2*p(f) + 6*x(f). Let k(u) = -43*u. What is y(k(d))? -86*d Let f(n) = 14*n**2. Suppose -210 + 50 = 4*o. Let i = -35 - o. Let d(a) = 11*a. Let y(z) = -7*z. Let k(m) = i*d(m) + 8*y(m). Give k(f(p)). -14*p**2 Let s(b) = -2 + b**2 + 2. Let m(c) be the first derivative of 23*c**3/6 + 75*c - 124. Let n(i) be the first derivative of m(i). Give s(n(z)). 529*z**2 Let z(w) = 2*w**2. Suppose 2 = -i + 1. Let c be i*(-1 + 2)*(29 - 31). Let v(j) = 44*j + 3*j - 2*j**c - 3*j - 16*j. What is z(v(g))? 8*g**4 - 224*g**3 + 1568*g**2 Let x(r) = -73*r. Let a(d) = -2*d**2 + 34410*d. Calculate a(x(s)). -10658*s**2 - 2511930*s Let x(k) = 11*k + 1. Let n(f) be the second derivative of -f**4/24 + 109*f**2/2 - 10*f. Let q(h) be the first derivative of n(h). Determine q(x(b)). -11*b - 1 Let t(w) be the third derivative of 0 + 2*w + 1/12*w**4 + 0*w**3 + 228*w**2. Let a(s) = s**2 - 254*s. Give a(t(q)). 4*q**2 - 508*q Let z(d) = d + 1. Let b(i) = 66*i + 7. Let a(v) = -21*v - 2. Let h(p) = 7*a(p) + 2*b(p). Calculate h(z(m)). -15*m - 15 Let f(l) = -9*l**2. Let w(z) be the second derivative of 2*z**4/3 - z**2/2 + 1107*z - 1. Determine f(w(b)). -576*b**4 + 144*b**2 - 9 Let z(k) = -25*k - 822. Let p(a) = 2*a**2. Calculate z(p(l)). -50*l**2 - 822 Let c be ((-12)/15)/(12/(-30)). Suppose -4*q = -10 - c. Let n(v) = -q*v + 3*v + v. Let y(h) = 18*h**2. Determine y(n(j)). 18*j**2 Let a(c) = -145*c**2. Let d(r) = r + 3812. Calculate d(a(f)). -145*f**2 + 3812 Suppose -4*k - n + 3*n + 4 = 0, -4 = n. Let m(o) = o + 1. Let l(s) = -1 - 3 - 36*s + 6 + 41*s. Let v(y) = k*l(y) + 2*m(y). Let t(r) = 4*r**2. What is v(t(c))? -12*c**2 Let f(r) be the first derivative of 2*r**3/3 - 376. Let n(u) = 210*u**2 + 231*u. Let w(s) = -s**2 - s. Let y(g) = -4*n(g) - 924*w(g). Determine f(y(d)). 14112*d**4 Let r(l) = 2*l + 15. Let n be r(6). Let u(k) = 39*k + 1 - n*k - 1. Let p(t) be the third derivative of t**5/60 + 8*t**2 - 6. What is u(p(j))? 12*j**2 Let h(z) = -98*z**2. Let i(n) = -1344483*n. What is h(i(t))? -177148184654322*t**2 Let f(k) = 145560*k**2. Let v(h) = 1940*h**2. What is v(f(p))? 41104164384000*p**4 Let m(y) = 2*y - 3. Let p(r) = 4 - 2 - 3*r + 3 + 2 - 2. Let u(d) = -5*m(d) - 3*p(d). Let t(h) = 12*h**2. Calculate u(t(k)). -12*k**2 Let c(o) = 83*o - 6. Let x(t) = 768300*t. Give x(c(v)). 63768900*v - 4609800 Let y(k) = -k. Let w(u) = -20*u + 59 - 343 + 9*u + 4. Give y(w(q)). 11*q + 280 Let t(m) = -3*m + 65. Let g(l) be the third derivative of -l**4/12 - 636*l**2. What is t(g(x))? 6*x + 65 Let k(a) = 1079*a. Let y(v) = 5*v**2 - 46*v - 2. What is k(y(s))? 5395*s**2 - 49634*s - 2158 Let i be 14*((-612)/(-63) + 4). Let l(o) = 101*o + 105*o - i*o. Let v(a) = -11*a**2. What is v(l(j))? -2156*j**2 Let h(i) = 404366*i - 3. Let o(l) = 85*l. Determine h(o(j)). 34371110*j - 3 Let i(c) = -2*c**2. Let q(r) = 7*r**2 - 29 - 19*r + r**2 - 9*r**2 + 1. Let k be q(-17). Let s(g) = -43*g**2 - 7 + 5 + k*g - 6*g. What is i(s(o))? -3698*o**4 - 344*o**2 - 8 Suppose 9*l = 11 + 7. Suppose -3*j + 0 + 9 = 0. Let x(b) = -b**l + 15*b - j*b - 12*b. Let s(m) = -38*m - 1. Give s(x(w)). 38*w**2 - 1 Let g(l) = -2*l**2. Let t(h) be the first derivative of 37157*h**3/3 + 12445. Give g(t(s)). -2761285298*s**4 Let b(v) = -2*v. Let i(l) = 56*l. Let n(s) be the second derivative of -15*s + 0*s**2 + 0 + 11/6*s**3. Let a(y) = 3*i(y) - 14*n(y). Give a(b(h)). -28*h Let r(z) be the second derivative of -z**4/6 + 423*z. Let c(f) = -f + 2256. Calculate c(r(k)). 2*k**2 + 2256 Let y be (-13 - (-2 - 5)) + 12/2. Let h(v) be the third derivative of 0*v**3 + 0*v - 8*v**2 + y - 1/24*v**4. Let r(o) = 3*o. Give h(r(p)). -3*p Let u(q) = -95*q**2 + 152*q + 304. Let k(h) = h**2 - 2*h - 4. Let v(y) = -76*k(y) - u(y). Let o(a) = -135*a. Give o(v(x)). -2565*x**2 Let m(v) = v**2 - v + 1. Let q(a) = 294*a**2 + 5*a + 61. Let u(z) = -5*m(z) - q(z). Let o(c) be the first derivative of u(c). Let y(l) = 2*l. Calculate y(o(j)). -1196*j Let d(s) be the first derivative of -4*s**3/3 + 1. Let j(c) = 37*c + 34*c - 86*c. Let a(r) = 5*r. Let v(x) = -11*a(x) - 4*j(x). Determine d(v(m)). -100*m**2 Suppose -3*k - 2*k = 3*s - 1233, -2*s = -3*k - 822. Let h(c) = 413*c**2 + s*c**2 - 830*c**2. Let b(v) be the first derivative of -2*v**2 + 1. Calculate h(b(z)). -96*z**2 Let g(f) = 8844*f. Let p(o) = -7*o**2 + 86. Determine p(g(d)). -547514352*d**2 + 86 Let l be (2072/40)/((-3)/(-15)). Let a(x) = 129*x**2 - l*x**2 + 129*x**2. Let v(s) = -124*s. What is a(v(o))? -15376*o**2 Let s(m) = -4231*m. Let y(j) be the second derivative of -j**3/2 - 2*j + 113. Determine s(y(o)). 12693*o Let b(a) be the first derivative of 8*a**3/3 - 3*a**2 - 5011. Let i(y) = 38*y. Calculate b(i(q)). 11552*q**2 - 228*q Let q(b) = -7*b**2 + 2*b. Let p(l) = -24*l**2 + 7*l. Let y(v) = 2*p(v) - 7*q(v). Let n(s) = 6*s + 7*s - 16*s. Calculate y(n(z)). 9*z**2 Let q(k) = 5*k - 21. Let z(j) = -15*j**2 + 4. Calculate q(z(r)). -75*r**2 - 1 Let v(n) = n**2 - 65*n. Let q(s) = -23*s + 74. Let w(i) = -1083*i + 3515. Let z(j) = 95*q(j) - 2*w(j). Give v(z(m)). 361*m**2 + 1235*m Let p(w) = -w**2 - w + 4. Let y(i) = 60*i**2 + 80*i - 320. Let s(f) = 240*p(f) + 3*y(f). Let z(v) be the second derivative of -v**3/6 + 7*v. Determine z(s(h)). 60*h**2 Let s(u) = -18*u**2 + 24*u - 3. Let y(a) = -16*a**2 + 36*a - 2. Let q(c) = 3*s(c) - 2*y(c). Let i(j) = 21*j. What is q(i(b))? -9702*b**2 - 5 Let n(l) = 3*l + 2. Let r(m) = -4165848*m**2. Determine n(r(b)). -12497544*b**2 + 2 Let n(a) = -2*a**2 - a + 1122197. Let z(j) = -3*j. What is z(n(d))? 6*d**2 + 3*d - 3366591 Let t(a) = -3*a**2 - 16 + 6 - a**2 - 3*a + 15*a**2. Let f(i) = 6*i**2 - i - 4. Let d(r) = 5*f(r) - 2*t(r). Let v(j) = 3*j**2. Calculate v(d(b)). 192*b**4 + 48*b**3 + 3*b**2 Let t(z) be the second derivative of -z**5/120 - 5*z**3/3 + z**2 - 67*z. Let v(s) be the second derivative of t(s). Let i(x) = -x + 20. Calculate v(i(c)). c - 20 Let m(a) = -150*a - 2. Let g(v) = 454*v + 7. Let j be 520/104 - 7*1. Let u(l) = j*g(l) - 7*m(l). Let y(n) = -4*n**2. What is u(y(t))? -568*t**2 Let g(o) = 15*o**2 - 56. Let c(u) = -13*u**2 + 48. Let x(i) = -7*c(i) - 6*g(i). Let a(n) = -256*n**2. Give a(x(t)). -256*t**4 Let h(x) be the third derivative of x**5/20 - x**2. Suppose -1 - 171 = 86*f. Let j(b) = 15*b. Let n(q) = 8*q. Let a(z) = f*j(z) + 2*n(z). Give a(h(c)). -42*c**2 Let p(l) = -36*l**2. Let z(t) be the third derivative of t**5/60 + t**4/3 - 1637*t**2 - t. Give z(p(v)). 1296*v**4 - 288*v**2 Let z(r) = -2*r - 2*r +
{ "pile_set_name": "DM Mathematics" }
s to milligrams. 0.006738003 How many months are there in 15/4 of a millennium? 45000 What is one tenth of a decade in months? 12 How many minutes are there in 1/4 of a hour? 15 How many decades are there in 416.2409 millennia? 41624.09 Convert 729.6698 millimeters to kilometers. 0.0007296698 How many litres are there in 21294.98 millilitres? 21.29498 How many nanometers are there in 93231.09 millimeters? 93231090000 How many nanograms are there in 3/50 of a microgram? 60 What is ten thirds of a year in months? 40 How many microseconds are there in 0.4386518 milliseconds? 438.6518 What is 1.854873um in millimeters? 0.001854873 How many millilitres are there in 7/2 of a litre? 3500 How many minutes are there in twenty-nine thirds of a day? 13920 What is 38.05587 decades in centuries? 3.805587 What is 37733.84 minutes in nanoseconds? 2264030400000000 What is 63/8 of a litre in millilitres? 7875 What is 5/4 of a year in months? 15 What is 35.14499 millilitres in litres? 0.03514499 Convert 19.376 nanograms to tonnes. 0.000000000000019376 What is 32/5 of a gram in milligrams? 6400 What is 0.6296996 days in hours? 15.1127904 How many meters are there in 945.9987 nanometers? 0.0000009459987 Convert 2069.242 years to centuries. 20.69242 What is 22.6071 millilitres in litres? 0.0226071 Convert 0.2699866g to milligrams. 269.9866 What is 51/5 of a century in decades? 102 What is 220098.9 years in decades? 22009.89 How many decades are there in 18/5 of a century? 36 What is 4.779632 centuries in years? 477.9632 What is 620151.7nm in centimeters? 0.06201517 How many millimeters are there in 4413.911km? 4413911000 Convert 6.0632 days to minutes. 8731.008 What is 0.2172049 decades in centuries? 0.02172049 What is 2112.726 nanoseconds in minutes? 0.0000000352121 What is 3390.628cm in micrometers? 33906280 How many nanoseconds are there in 0.0995964 seconds? 99596400 How many months are there in 2/15 of a millennium? 1600 What is five sixths of a minute in milliseconds? 50000 How many nanograms are there in three fifths of a microgram? 600 What is 7155.461 micrometers in kilometers? 0.000007155461 How many nanometers are there in 43628.33cm? 436283300000 What is 7/3 of a week in hours? 392 How many weeks are there in 145132589.7us? 0.00023996790625 What is thirty-one fifths of a kilogram in grams? 6200 Convert 878513.6ng to kilograms. 0.0000008785136 What is eighteen fifths of a centimeter in micrometers? 36000 Convert 91.10403 years to millennia. 0.09110403 Convert 8762.304ml to litres. 8.762304 What is 11/2 of a millennium in years? 5500 Convert 2983.8663 months to decades. 24.8655525 What is 21/5 of a millimeter in micrometers? 4200 Convert 0.9372394 litres to millilitres. 937.2394 What is 191.1933km in centimeters? 19119330 How many microseconds are there in 13/5 of a millisecond? 2600 What is one fifth of a minute in milliseconds? 12000 What is 6.029458 centuries in months? 7235.3496 How many litres are there in 0.5699517ml? 0.0005699517 Convert 35579.16mm to centimeters. 3557.916 What is 12/25 of a litre in millilitres? 480 What is 3/8 of a tonne in kilograms? 375 How many nanograms are there in 33/5 of a microgram? 6600 What is 3/5 of a litre in millilitres? 600 What is 286.1691um in kilometers? 0.0000002861691 How many seconds are there in 6/5 of a minute? 72 How many months are there in 654448.9 years? 7853386.8 How many decades are there in one quarter of a millennium? 25 What is 13/4 of a litre in millilitres? 3250 Convert 3867.301 litres to millilitres. 3867301 Convert 6786.024 millilitres to litres. 6.786024 How many millilitres are there in 11/2 of a litre? 5500 What is 2/45 of a day in minutes? 64 How many seconds are there in one ninth of a week? 67200 How many micrometers are there in 351482.7nm? 351.4827 What is 42/5 of a millimeter in micrometers? 8400 How many millimeters are there in 433008.5cm? 4330085 What is six fifths of a century in months? 1440 What is eleven eighths of a litre in millilitres? 1375 What is twenty-nine fifths of a centimeter in micrometers? 58000 What is 481.2569 hours in milliseconds? 1732524840 What is 21119.88 millennia in decades? 2111988 Convert 48.61525 tonnes to milligrams. 48615250000 Convert 1.627635km to nanometers. 1627635000000 What is nine tenths of a meter in millimeters? 900 What is 0.7328125um in centimeters? 0.00007328125 How many months are there in 9465.664 years? 113587.968 What is five eighths of a day in seconds? 54000 Convert 52.54327 millimeters to micrometers. 52543.27 What is 0.4577533 millilitres in litres? 0.0004577533 How many years are there in three tenths of a millennium? 300 Convert 33565.45 days to nanoseconds. 2900054880000000000 How many years are there in twenty-seven quarters of a millennium? 6750 How many years are there in one twentieth of a millennium? 50 How many minutes are there in 77/2 of a hour? 2310 What is six fifths of a millimeter in micrometers? 1200 What is 51.975126 days in weeks? 7.425018 What is three eighths of a kilometer in centimeters? 37500 How many meters are there in eighty-seven halves of a kilometer? 43500 How many millilitres are there in 6/5 of a litre? 1200 What is one tenth of a milligram in nanograms? 100000 How many kilograms are there in twenty-one fifths of a tonne? 4200 Convert 216.68412 months to millennia. 0.01805701 Convert 482733.2ml to litres. 482.7332 What is two fifteenths of a decade in months? 16 How many seconds are there in 56.8112us? 0.0000568112 What is 0.8671363 centuries in millennia? 0.08671363 How many milligrams are there in 11/8 of a gram? 1375 How many decades are there in 86.79337 years? 8.679337 How many nanometers are there in 97171.26m? 97171260000000 How many months are there in nineteen quarters of a century? 5700 What is 12.52608 millilitres in litres? 0.01252608 How many millilitres are there in fourty-one halves of a litre? 20500 How many grams are there in seventy-three quarters of a kilogram? 18250 What is 2559.36483 milliseconds in days? 0.000029622278125 Convert 3.3630984ms to hours. 0.000000934194 How many months are there in 0.7144871 decades? 85.738452 How many milliseconds are there in 234344.6 hours? 843640560000 Convert 307.3273 nanograms to milligrams. 0.0003073273 What is three tenths of a century in years? 30 How many millilitres are there in 3/8 of a litre? 375 How many litres are there in 69.10034 millilitres? 0.06910034 What is 86001.45 years in decades? 8600.145 How many months are there in 4/3 of a century? 1600 What is twenty-seven fifths of a tonne in kilograms? 5400 What is 0.5194833 millilitres in litres? 0.0005194833 Convert 960.3075l to millilitres. 960307.5 What is eleven quarters of a micrometer in nanometers? 2750 What is one quarter of a centimeter in micrometers? 2500 Convert 5.682811 nanometers to meters. 0.000000005682811 What is 7/2 of a meter in millimeters? 3500 What is 3/40 of a kilogram in milligrams? 75000 How many millilitres are there in 2614.234 litres? 2614234 What is 1.776602 micrograms in kilograms? 0.000000001776602 How many grams are there in 6/5 of a kilogram? 1200 Convert 5.066605 years to decades. 0.5066605 What is 576.4563 years in months? 6917.4756 How many months are there in 1/5 of a century? 240 What is 1/4 of a litre in millilitres? 250 What is eleven quarters of a millennium in decades? 275 How many millimeters are there in 969.9332km? 969933200 Convert 39705.39ns to minutes. 0.0000006617565 What is 94.64646 centimeters in nanometers? 946464600 What is nine tenths of a centimeter in millimeters? 9 How many minutes are there in fourteeen ninths of a day? 2240 What is twenty-one fifths of a century in decades? 42 What is 5.947084ml in litres? 0.005947084 How many centimeters are there in 30.05847nm? 0.000003005847 Convert 17817.03 seconds to nanoseconds. 17817030000000 How many litres are there in 0.1598443 millilitres? 0.0001598443 How many grams are there in six fifths of a kilogram? 1200 What is 2456.817 nanograms in tonnes? 0.000000000002456817 How many milliseconds are there in 32/5 of a second? 6400 How many millilitres are there in 21/4 of a litre? 5250 How many months are there in one sixth of a millennium? 2000 What is three tenths of a centimeter in m
{ "pile_set_name": "DM Mathematics" }
late -171 divided by 19. -9 Calculate 3900 divided by -975. -4 What is 120 divided by 90? 4/3 Divide 69 by -4. -69/4 Calculate -2 divided by 6. -1/3 What is 792 divided by 22? 36 Divide -60 by 30. -2 Divide 37 by 15. 37/15 What is 83 divided by 3? 83/3 Divide 3 by -249. -1/83 0 divided by -1 0 -11436 divided by 3812 -3 6 divided by -465 -2/155 -3 divided by -5 3/5 What is -5 divided by 668? -5/668 Calculate -2686 divided by 3. -2686/3 Calculate -3 divided by -492. 1/164 Divide 0 by 5782. 0 What is 480 divided by -4? -120 Divide -14 by 207. -14/207 What is -2916 divided by 6? -486 468 divided by 3 156 What is 27 divided by -30? -9/10 Divide -76 by 4. -19 Divide 212 by 53. 4 Divide -425 by -5. 85 193 divided by 4 193/4 What is -96 divided by 3? -32 328 divided by -164 -2 0 divided by 478 0 What is -2616 divided by -12? 218 Divide -25 by 33. -25/33 -580 divided by -116 5 Calculate -162 divided by 3. -54 What is 1872 divided by -468? -4 What is 903 divided by -301? -3 184 divided by -5 -184/5 Divide -428 by -75. 428/75 Divide 146 by 6. 73/3 Calculate 2 divided by 1389. 2/1389 What is -168 divided by 42? -4 Calculate 3 divided by -112. -3/112 -2 divided by 2924 -1/1462 -109 divided by -13 109/13 4 divided by 87 4/87 394 divided by 4 197/2 -3 divided by 133 -3/133 -296 divided by 296 -1 -19 divided by -486 19/486 Divide -26926 by 2. -13463 What is -31 divided by 3? -31/3 Divide -2264 by 1132. -2 What is 9309 divided by -107? -87 Divide -167 by 27. -167/27 -454 divided by -5 454/5 Calculate -1847 divided by -3. 1847/3 What is -1724 divided by -1? 1724 Divide 312 by -6. -52 Calculate 63 divided by -60. -21/20 Divide -340 by -85. 4 264 divided by 11 24 Divide 1 by -81. -1/81 Divide 373 by -5. -373/5 Divide -275 by -55. 5 Divide 8134 by -7. -1162 Divide 78 by -2. -39 Divide 3042 by -6. -507 -4005 divided by -445 9 Divide -282 by 6. -47 Divide -1618 by -4. 809/2 Calculate 18 divided by -381. -6/127 What is 10 divided by 243? 10/243 Divide -9088 by -71. 128 Divide -4 by -3652. 1/913 Divide -14 by 20. -7/10 -78 divided by -2 39 Calculate -269 divided by 1. -269 2 divided by -106 -1/53 What is 18 divided by -3? -6 0 divided by 691 0 Divide -135 by -27. 5 What is 2 divided by -36? -1/18 What is 185 divided by -30? -37/6 -2 divided by -49 2/49 What is -3 divided by 353? -3/353 What is -167 divided by -6? 167/6 44 divided by 328 11/82 Divide 6030 by -6. -1005 What is 5250 divided by -210? -25 What is -3 divided by 38? -3/38 Divide -5 by 105. -1/21 What is -560 divided by -2? 280 Divide -12 by 46. -6/23 -1504 divided by 47 -32 Calculate 4590 divided by -102. -45 Calculate -729 divided by -3. 243 Calculate -472 divided by -12. 118/3 Calculate -20 divided by -351. 20/351 What is -1 divided by -749? 1/749 266 divided by -2 -133 Divide 1964 by 3. 1964/3 What is -668 divided by 5? -668/5 Divide 2 by -41. -2/41 2 divided by -107 -2/107 Divide 616 by 14. 44 Divide -9 by 131. -9/131 Calculate 2586 divided by -3. -862 Calculate 0 divided by -68. 0 Calculate -567 divided by -567. 1 Divide -4374 by -6. 729 -12005 divided by 7 -1715 -4920 divided by 1640 -3 Calculate -5724 divided by -6. 954 What is 5 divided by -2503? -5/2503 0 divided by -224 0 -596 divided by 6 -298/3 Calculate 4 divided by 2. 2 Divide -3315 by 5. -663 What is -9 divided by -2? 9/2 What is 2 divided by -63? -2/63 1460 divided by -365 -4 25712 divided by -1 -25712 -7655 divided by 5 -1531 156 divided by 13 12 Calculate -30 divided by 806. -15/403 Divide -82 by 6. -41/3 Divide -7462 by 533. -14 Divide 5 by -607. -5/607 What is 4429 divided by 103? 43 What is 20378 divided by 46? 443 -76 divided by 9 -76/9 1 divided by 1949 1/1949 Calculate 216 divided by 3. 72 28604 divided by 4 7151 Calculate -3794 divided by -1897. 2 Divide -12610 by -1261. 10 Calculate 310 divided by 2. 155 1467 divided by -3 -489 What is -155 divided by 1? -155 What is -1498 divided by -749? 2 Calculate -2 divided by 316. -1/158 192 divided by 48 4 What is 3 divided by -3697? -3/3697 Divide -11868 by -258. 46 Calculate 458 divided by -13. -458/13 Divide -362 by 2. -181 Calculate -3394 divided by 1. -3394 Calculate -96 divided by -8. 12 Calculate 1209 divided by -93. -13 What is 4 divided by 2? 2 81 divided by 29 81/29 Calculate -293 divided by 1. -293 Divide 2555 by 2. 2555/2 What is 120 divided by 24? 5 Divide -90 by -62. 45/31 What is 0 divided by -126? 0 -131 divided by -5 131/5 Divide 612 by -153. -4 What is -5 divided by 17? -5/17 Divide -792 by 198. -4 Calculate 255 divided by 5. 51 What is -13 divided by -13? 1 Divide -103 by 3. -103/3 0 divided by -32 0 What is -4 divided by 79? -4/79 -11602 divided by -3 11602/3 What is -37472 divided by 4? -9368 Calculate -8966 divided by -1. 8966 What is -384 divided by 32? -12 -586 divided by 2 -293 Calculate -3 divided by -18. 1/6 Divide -1 by -22. 1/22 31 divided by -5 -31/5 Divide -378 by 126. -3 Divide 5 by 32. 5/32 Divide 76 by -19. -4 Divide 0 by -4000. 0 Calculate 5 divided by 608. 5/608 What is -182 divided by 2? -91 What is -1423 divided by 4? -1423/4 What is -77 divided by 3? -77/3 270 divided by 45 6 Calculate -546 divided by 273. -2 What is -448 divided by 8? -56 Calculate 620 divided by -4. -155 Calculate -76 divided by 38. -2 What is 160 divided by 10? 16 Divide -6 by 46. -3/23 What is 416 divided by -8? -52 531 divided by 531 1 Calculate -5193 divided by -9. 577 Calculate 59 divided by 2. 59/2 -418 divided by 1 -418 Divide 24 by 6. 4 Calculate 801 divided by -3. -267 7264 divided by -1816 -4 What is -5450 divided by -5? 1090 Divide 2723 by 2. 2723/2 What is 36 divided by -6? -6 Divide -5342 by -2671. 2 2150 divided by -1 -2150 What is 177 divided by 59? 3 What is 1 divided by -4? -1/4 -26 divided by 6 -13/3 Calculate -769 divided by 2. -769/2 What is 672 divided by 4? 168 Calculate -1560 divided by 26. -60 Calculate -185 divided by 5. -37 Calculate 34 divided by 207. 34/207 1353 divided by -3 -451 What is -5204 divided by 1301? -4 Divide 37 by 7. 37/7 Calculate 1744 divided by 1. 1744 Calculate -16 divided by 10. -8/5 Calculate 17920 divided by -6. -8960/3 Divide 891 by 11. 81 What is -17 divided by 60? -17/60 What is -29 divided by 5? -29/5 Calculate 1 divided by 19. 1/19 What is 1 divided by -730? -1/730 Calculate 1 divided by -119. -1/119 What is 2652 divided by 156? 17 What is 1968 divided by 492? 4 Divide -1472 by -368. 4 1482 divided by -741 -2 51231 divided by 3 17077 -4800 divided by 80 -60 What is 76 divided by 2? 38 196 divided by -4 -49 What is -7 divided by 13? -7/13 Divide 883 by -1. -883 Calculate 109 divided by 1. 109 Divide -2 by 5601. -2/5601 What is -616 divided by -44? 14 What is -1586 divided by 1? -1586 What is -162 divided by -6? 27 What is -220 divided by -6? 110/3 Divide 0 by -83. 0 702 divided by 27 26 What is -6808 divided by -4? 1702 What is -432 divided by 1? -432 Divide 0 by -659. 0 -984 divided by -1 984 Divide 192 by 48. 4 1 divided by 360 1/360 What is 3926 divided by 13? 302 Calculate -8 divided by -77. 8/77 Divide 8 by -68. -2/17 What is -2 divided by -1085? 2/1085 -6463 divided by 6 -6463/6 Divide -2 by 1181. -2/1181 Calculate -3 divided by 123. -1/41 What is -316 divided by 5? -316/5 What is -5 divided by -6? 5/6 Divide 33 by 127. 33/127 Divide 6 by -61. -6/61 Calculate 8070 divided by 5. 1614 Calculate 30756 divided by 4. 7689 Divide 33 by -97. -33/97 -1120 divided by 224 -5 Divide -1150 by 230. -5 What is 8 divided by 31? 8/31 Divide 73 by -1. -73 What is -4009 divided by 19? -211 Calculate -851 divided by 23. -37 Calculate -5 divided by 2368. -5/2368 What is 615 divided by -123? -5 244 divided by 122 2 Divide -3351 by 1. -3351 2592 divided by 108 24 What is -7020 divided by -6? 1170 What is -9 divided by -18? 1/2 What is 4 divided by -558? -2/279 Divide 506 by -23. -22 Divide 23031 by 1. 23031 23090 divided by 4618 5 Calculate -1904 divided by 112. -17 Calculate -9 divided by -57. 3/19 Divide -15 by -207. 5/69 Divide 3710 by 742. 5 Calculate -1 divided by -276. 1/276 Calculate -28080 divided by -10. 2808 Divide -1026 by 3. -342 19307 divided by -6 -19307/6 3105 divided by 6 1035/2 What is -33 divided by -9? 11/3 What is 340 divided by -85? -4 13 divided by 27 13/27 What is 5640 divided by -940? -6 Calculate -19 divided by -19. 1 Wh
{ "pile_set_name": "DM Mathematics" }
uppose -4*h = i - 163, 0 = -5*h - 2*i + 101 + 99. What is the remainder when 796 is divided by h? 40 Suppose 10*x = 152 - 122. Suppose -d = -0*g - g + 2, 6 = 3*g. Suppose 5*u + 4*b + 1 = 0, d + 20 = -5*b. What is the remainder when x is divided by u? 0 Suppose -3*t = -0*t - 12. Let w(d) = -d + 3*d**2 - 17*d**3 + 4*d - 4*d - t*d**2. Calculate the remainder when w(-1) is divided by 6. 5 Let o = 135 + -6. Suppose -y + o = -0*y. What is the remainder when y is divided by 33? 30 What is the remainder when 154 is divided by (93/6*2)/(0 + 1)? 30 Suppose 5*o = -2*t - 0*t - 371, 2*o = 3*t - 137. Let m = o - -111. Calculate the remainder when m is divided by 10. 8 Suppose 0 = 5*h - 208 - 297. Suppose 9*c = 7*c + 180. Calculate the remainder when h is divided by (306/c)/(2/20). 33 Suppose 4*b + 238 = 3*r + 3*b, -5*b = -3*r + 242. What is the remainder when 154 is divided by r? 75 Let y = -15 + 22. Let s(r) = -2*r**3 + 2*r**2 - 2*r - 3. What is the remainder when s(-2) is divided by y? 4 Suppose -2*a = -u + 435, -a = -2*a - 1. What is the remainder when u is divided by 23? 19 Let s = -34 + 97. Suppose 6*z - 27 = s. What is the remainder when 44 is divided by z? 14 Suppose 3*k - 4*k + 13 = 0. Calculate the remainder when (-21)/(-6*(-2)/(-12)) is divided by k. 8 Suppose 4*a = -n + 7 + 8, 9 = -a + 4*n. Suppose 0*i - 3*w - 84 = -a*i, 0 = 3*w + 12. What is the remainder when 74 is divided by i? 2 Suppose -64*x = -63*x - 55. Let i be 3/(-12) + (-26)/(-8). Suppose 2*f - x = 3*v, -v = 2*v + i. What is the remainder when f is divided by 10? 6 Let z(k) = -k**2 - 54*k - 624. Let s = -141 - -89. Calculate the remainder when s/(-6) + (-4)/6 is divided by z(-37). 3 Let t = 860 + -620. What is the remainder when t is divided by 32? 16 Let k(r) = 13*r - 101. What is the remainder when 254 is divided by k(9)? 14 Let s(a) = -a**3 + 5*a**2 + 13*a + 3. Let l be s(7). What is the remainder when 94 is divided by 1 + (-76)/l + 2 + 2? 22 Suppose 2*u = 6*u - 12. Suppose -3*o + 206 = 5*c - c, -2*c + 94 = -u*o. Calculate the remainder when c is divided by 27. 23 Let y(c) = -c**3 + 7*c**2 + 8*c - 14. Let i be y(8). Calculate the remainder when (2 + i + -3)/(-1) is divided by 9. 6 Let m be 22*(-3)/12*-4. Let y be 2*(m/4 - 2). Suppose -y*z = -6*z - 13. Calculate the remainder when 23 is divided by z. 10 Suppose 4*o + 3*s - 85 = 0, -s = 3*o - 3 - 67. Calculate the remainder when 124 is divided by o. 24 Suppose -b - 6 = 2*t, -2*b - 10 + 3 = 3*t. Let a(w) = -3*w + 2. Calculate the remainder when a(-2) is divided by b. 0 Suppose -2*h = -0 - 8. Let q = -54 - -154. Suppose -q*w = -104*w + 8. What is the remainder when h is divided by w? 0 Let z = 78 - 47. Suppose -i + 2*i = 3. Calculate the remainder when z is divided by (i - 0)/((-3)/(-17)). 14 Suppose 4*w + 2 - 34 = 0. Let u(d) = d**3 - 26*d**2 - d + 57. What is the remainder when u(26) is divided by w? 7 Suppose 33 = 6*q - 3*q. Let h = 102 - 50. What is the remainder when h is divided by q? 8 Suppose -34 = -5*a - 7*t + 3*t, 8 = -2*t. Let o be 4 + (4 - 9 - 1). What is the remainder when 71 is divided by a/(-20) + (-49)/o? 23 Let r be (5022/(-108))/(-1*1/2). Suppose h = 2 + r. Calculate the remainder when h is divided by 14. 11 Suppose 0*g + 15*g = 12075. Suppose -3*j - g = -8*j. Calculate the remainder when j is divided by 27. 26 Suppose -4 = 2*h, -2*b - 9*h + 66 = -5*h. What is the remainder when 177 is divided by b? 29 Suppose 94 = 5*d + 19. Let k = 24 - d. What is the remainder when 44 is divided by k? 8 What is the remainder when 2/(-4) - (-15)/(-30) - -37 is divided by 11? 3 Suppose -u - 2*u + 3*x = 81, -3*u = x + 81. What is the remainder when 64 is divided by (u/(-45))/((-3)/(-165))? 31 Suppose k = -3*m - 4, -3*k + 4 = 6*m - 5*m. Suppose 6 = -x + k*x. Calculate the remainder when 16 is divided by (0 + x)/(4/2). 1 Let j(z) = -z**3 - 2*z**2 + 3*z + 1. Let y be j(-3). What is the remainder when 7 is divided by 7 - (y - -2 - 1)? 2 Suppose -4*x = 124 - 452. Calculate the remainder when 110 is divided by x. 28 Let i = -497 - -520. What is the remainder when 79 is divided by i? 10 Suppose 5*f = -3*x - 79, -4*f + 4*x - 55 = 21. What is the remainder when (-16 - f) + 67 + -1 is divided by 34? 33 Let a(k) be the second derivative of -k**4/6 - 10*k**3/3 - 3*k**2 - 31*k. What is the remainder when 102 is divided by a(-8)? 24 Let a be 4/6 - 414/(-27). Suppose -3*w - 2*w = -20. Calculate the remainder when -4 + a + (-6)/(-2) is divided by w. 3 Let z(c) = c**2 + 7 + 11 - 6 + 8*c. Let j(f) = 3*f. Calculate the remainder when z(-10) is divided by j(4). 8 Suppose -2*l = 50*k - 51*k - 153, 0 = -l + 4*k + 73. Let z(x) = x**2 - 3*x - 1. Calculate the remainder when l is divided by z(7). 23 Let c(m) be the third derivative of 7*m**4/24 - 4*m**3 - m**2. Calculate the remainder when c(19) is divided by 16. 13 Let t = -303 + 430. Let v = 151 - t. What is the remainder when v is divided by 9? 6 Let w = -354 - -378. Calculate the remainder when 119 is divided by w. 23 Suppose -3*b + 2*f = -6*b + 208, 4*b = 2*f + 296. Let a = b + -50. What is the remainder when 65 is divided by a? 21 Let x = 11 + 10. What is the remainder when x is divided by (-114)/(-10) + (-2)/5? 10 Let l be 132/4 + 7 + 2 + -5. Suppose -2*q - 12 = -5*q. Suppose 3*c - q*c + l = 0. Calculate the remainder when c is divided by 13. 11 Suppose -3*g = 5*t + 3, -4*t + 3 + 1 = 4*g. What is the remainder when 218 is divided by 1 + (-324)/(-9 - t)? 53 Let x(t) = -12*t + 3. Let a be ((-9)/(-6))/(2/(-4) + 0). Let d(h) = 2*h - 16. Calculate the remainder when x(a) is divided by d(13). 9 Suppose 2*v + 215 = 5*z, -3*z - 2*z + v = -210. Calculate the remainder when z is divided by 21. 20 Suppose 134*z = 132*z + 16. Suppose 3*u = z*u - 55. What is the remainder when 20 is divided by u? 9 Suppose 0 = -47*m - 38*m + 47345. What is the remainder when m is divided by 31? 30 Suppose -3*q = -4*q + 4. Suppose -12 = h - s, -q*s = 4*h + h + 24. What is the remainder when 44 is divided by 2/(-1 + (-9)/h)? 12 Let f(t) = t**2 - 3*t + 13. What is the remainder when 103 is divided by f(4)? 1 Let b(d) = 5*d - 67. Let t = 4 - -20. What is the remainder when b(27) is divided by t? 20 Let l(g) = -g**3 - 3*g**2 - 3*g + 3. Let j(a) = -2*a - 3*a**3 + 14 - 21 + 6*a**3 - a**2. Calculate the remainder when j(3) is divided by l(-4). 28 What is the remainder when (-6 + 13)*-1 - -204 is divided by 20? 17 Calculate the remainder when (-2)/(-6) - 106/(-6) is divided by 22/(-198) + 55/9. 0 Suppose -254 = l - 300. What is the remainder when l is divided by (24/(-5))/(6/(-20))? 14 Let n(p) = -p**3 + 5*p**2 - 2*p + 13. Let u be n(5). Suppose -2*s - 3*i + 4 = -5, 2*i - 26 = -u*s. Calculate the remainder when 21 is divided by s. 9 Suppose -w + 2*w - 3 = 0. Let p be (-1)/2*(-9 + w). Suppose p*i - 30 = 3. Calculate the remainder when 75 is divided by i. 9 What is the remainder when 3 - (0/1 - (620 + -30)) is divided by 85? 83 Let x = 66 + 29. What is the remainder when 198 is divided by x? 8 Suppose -6 = c + 4*j, 5*j - 4*j + 4 = c. Suppose -2*v + 7 = 3*p - v, c*p + 3*v = 0. What is the remainder when 8 is divided by p? 2 Let i be 2*(-2)/8*72. Let z = i - -41. Calculate the remainder when z is divided by 4. 1 Suppose -4 = p + 120. Let r = -58 - p. What is the remainder when r is divided by 8/(-4)*23/(-2)? 20 Let k be -1 + (186/4 - 5/(-10)). Let f = k + -6. Calculate the remainder when 155 is divided by f. 35 Let z = -31 - -46. Let l be (z/(-6))/(1/(-14)). Let j = l + -20. What is the remainder when j is divided by 8? 7 Let i = 154 + -110. What is the remainder when i is divided by 14? 2 Let j(d) = -3*d**3 + 6*d**2 - d**3 - 14*d - 21*d**2 + 13 + 3*d**3. What is the remainder when 49 is divided by j(-14)? 10 Let r(d) = -d**3 - d**2 + 7*d + 6. Suppose 47*z - 19323 - 612 + 54 = 0. What is the remainder when z is divided by r(-5)? 68 Let z(v) = 6*v**2 - 2*v + 23. Calculate the remainder when z(-7) is divided by 84. 79 Let u(r) = r + 14. What is the remainder when 72 is divided by u(-3)? 6 Let m(f) = -8*f**2 + 7*f + 16. Let h(l) = 7*l**2 - 6*l - 15. Let r(t) = 7*h(t) + 6*m(t). Calculate the remainder when 11 is divided by r(-4). 4 Suppose -9*v = -23 - 49. Suppose -v*k + 19*k = 110. Let f = -2 - -40. Calculate the remainder when f is divided by k
{ "pile_set_name": "DM Mathematics" }
is prob of picking 1 a and 2 w when three letters picked without replacement from wjjwawjjwjwjjwa? 6/91 Two letters picked without replacement from hiiiiiiihhhri. Give prob of picking 2 h. 1/13 Calculate prob of picking 2 e when two letters picked without replacement from yeenhnehhneeyseeehe. 4/19 Three letters picked without replacement from bnnvndbbvtvtpd. Give prob of picking 1 p, 1 t, and 1 n. 3/182 Three letters picked without replacement from gyaln. What is prob of picking 1 g, 1 n, and 1 l? 1/10 Three letters picked without replacement from elegeeeeeeeegleeel. Give prob of picking 3 l. 1/816 Two letters picked without replacement from {t: 2, u: 4, a: 4, x: 9}. What is prob of picking 1 t and 1 x? 2/19 Four letters picked without replacement from {k: 7, l: 5}. What is prob of picking 3 k and 1 l? 35/99 Four letters picked without replacement from jjaaajaaaa. Give prob of picking 3 a and 1 j. 1/2 Four letters picked without replacement from {f: 8, x: 11, k: 1}. Give prob of picking 4 f. 14/969 Two letters picked without replacement from obfobbffbtfft. Give prob of picking 2 t. 1/78 Two letters picked without replacement from {t: 1, i: 1, a: 2, q: 1, n: 1, g: 1}. Give prob of picking 1 q and 1 n. 1/21 Calculate prob of picking 1 q, 2 r, and 1 x when four letters picked without replacement from {r: 3, x: 2, q: 5}. 1/7 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from yhlpbfh. 1/21 Calculate prob of picking 2 u when two letters picked without replacement from nnffurunfnurrffnn. 3/136 Calculate prob of picking 2 x and 1 j when three letters picked without replacement from hjnjxx. 1/10 Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kllkulluul. 2/15 Three letters picked without replacement from {w: 2, l: 1, y: 1, h: 4, j: 2}. What is prob of picking 1 w, 1 l, and 1 y? 1/60 Two letters picked without replacement from {e: 1, y: 2, l: 1, k: 1}. What is prob of picking 2 y? 1/10 Calculate prob of picking 2 r and 2 w when four letters picked without replacement from rrdddrwwdd. 1/70 What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 2, v: 16}? 32/153 Three letters picked without replacement from ooooooooooovovvoov. What is prob of picking 1 v and 2 o? 91/204 What is prob of picking 1 j, 1 n, and 1 i when three letters picked without replacement from {i: 2, p: 8, n: 1, j: 4}? 8/455 What is prob of picking 2 t when two letters picked without replacement from {t: 7, z: 2}? 7/12 What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, i: 2, z: 2, g: 4}? 1/60 Two letters picked without replacement from tmimtimninniminiti. What is prob of picking 2 n? 2/51 Four letters picked without replacement from xsawswaaahhcxxacah. Give prob of picking 1 w and 3 x. 1/1530 Four letters picked without replacement from {y: 1, p: 2, i: 4, m: 3, s: 2}. Give prob of picking 2 i, 1 s, and 1 y. 4/165 Two letters picked without replacement from {x: 1, t: 3, r: 11}. What is prob of picking 2 r? 11/21 Four letters picked without replacement from {x: 2, i: 2, k: 1, p: 3, n: 3, s: 4}. Give prob of picking 3 s and 1 x. 8/1365 What is prob of picking 2 s when two letters picked without replacement from {d: 1, s: 3, w: 1}? 3/10 Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {i: 8, j: 6, x: 1}. 3/91 Calculate prob of picking 1 c, 2 n, and 1 s when four letters picked without replacement from snnnssccnsssnnncnnnc. 72/323 What is prob of picking 1 a, 1 x, 1 z, and 1 e when four letters picked without replacement from {z: 1, e: 2, a: 3, r: 1, x: 5}? 2/33 Three letters picked without replacement from {y: 1, w: 11, h: 7}. Give prob of picking 1 y and 2 w. 55/969 Three letters picked without replacement from {a: 1, i: 4, g: 1, f: 1, w: 2}. What is prob of picking 1 w, 1 f, and 1 i? 2/21 Three letters picked without replacement from {p: 14, k: 4}. Give prob of picking 3 p. 91/204 Calculate prob of picking 2 v and 1 z when three letters picked without replacement from zvvvzkzuvaa. 6/55 What is prob of picking 2 a and 1 s when three letters picked without replacement from {m: 3, f: 2, a: 2, n: 9, s: 3}? 1/323 Three letters picked without replacement from {g: 8, a: 2}. What is prob of picking 3 g? 7/15 Four letters picked without replacement from wtwtwtwtzttttht. What is prob of picking 1 h, 1 t, 1 w, and 1 z? 12/455 Calculate prob of picking 1 g and 1 d when two letters picked without replacement from ldlgdll. 2/21 Calculate prob of picking 2 i and 2 p when four letters picked without replacement from {i: 7, s: 3, p: 6, x: 1}. 9/68 Four letters picked without replacement from cqocaccacqwcqcoacc. Give prob of picking 2 q, 1 a, and 1 o. 1/170 Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {l: 7, m: 1}. 3/8 Four letters picked without replacement from {t: 6, g: 4}. Give prob of picking 1 t and 3 g. 4/35 What is prob of picking 3 j when three letters picked without replacement from {k: 2, h: 2, p: 1, r: 3, j: 4}? 1/55 Two letters picked without replacement from {s: 3, g: 1, z: 5, b: 5, j: 3, d: 1}. Give prob of picking 1 j and 1 d. 1/51 What is prob of picking 1 u, 1 r, and 1 k when three letters picked without replacement from {d: 5, r: 3, c: 1, k: 3, u: 2, e: 1}? 18/455 Calculate prob of picking 1 u, 1 o, and 1 t when three letters picked without replacement from {t: 3, o: 1, u: 2, w: 3, l: 1}. 1/20 What is prob of picking 1 h, 1 a, and 1 n when three letters picked without replacement from {n: 1, h: 1, c: 1, a: 1, f: 1}? 1/10 Two letters picked without replacement from uklph. What is prob of picking 1 l and 1 u? 1/10 Calculate prob of picking 2 p when two letters picked without replacement from ggpgggppgpgp. 5/33 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {i: 11, y: 4, n: 3}. 4/51 What is prob of picking 2 o and 1 l when three letters picked without replacement from olloe? 1/5 Two letters picked without replacement from {t: 17, q: 1}. Give prob of picking 1 t and 1 q. 1/9 Three letters picked without replacement from ahaovvohaalh. Give prob of picking 3 a. 1/55 Two letters picked without replacement from {q: 3, o: 11}. Give prob of picking 2 o. 55/91 What is prob of picking 1 h and 3 r when four letters picked without replacement from {t: 4, h: 2, r: 7}? 14/143 Calculate prob of picking 3 z when three letters picked without replacement from zzfzzzzfzzzz. 6/11 Three letters picked without replacement from {r: 1, p: 3}. Give prob of picking 3 p. 1/4 Three letters picked without replacement from {q: 3, y: 9, l: 2, w: 5}. What is prob of picking 1 w, 1 q, and 1 l? 10/323 What is prob of picking 1 y, 1 q, and 2 s when four letters picked without replacement from oyosooqqxsxyqq? 8/1001 Four letters picked without replacement from {d: 6, v: 7, e: 2}. What is prob of picking 1 v, 1 d, and 2 e? 2/65 Four letters picked without replacement from {y: 2, f: 3, i: 4, e: 2}. What is prob of picking 2 y and 2 e? 1/330 Three letters picked without replacement from {v: 1, i: 2, w: 1, g: 1}. Give prob of picking 1 g and 2 i. 1/10 What is prob of picking 1 u and 1 c when two letters picked without replacement from cniuiuuuciccu? 10/39 Two letters picked without replacement from {g: 3, k: 3}. Give prob of picking 1 g and 1 k. 3/5 What is prob of picking 2 p when two letters picked without replacement from keppp? 3/10 Four letters picked without replacement from yykykkyy. What is prob of picking 3 y and 1 k? 3/7 Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {c: 6, p: 2, r: 5}. 30/143 Three letters picked without replacement from {s: 2, h: 2, e: 1, a: 4, x: 3}. Give prob of picking 1 x, 1 a, and 1 h. 6/55 Two letters picked without replacement from tuuuutu. What is prob of picking 1 u and 1 t? 10/21 What is prob of picking 1 g and 1 n when two letters picked without replacement from gnosgrg? 1/7 Two letters picked without replacement from {m: 1, w: 16, s: 1}. Give prob of picking 1 m and 1 w. 16/153 What is prob of picking 1 b and 1 a when two letters picked without replacement from aabaayyyaz
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of f. 7 Suppose -4*b - 4 = -2*b. What are the prime factors of 2 + (4 + b)/1? 2 Let y = -9 + 134. Suppose -4*v + y = v. What are the prime factors of v? 5 Let k = 15 + 1. What are the prime factors of k? 2 Let u = -3 - -6. Suppose -z - 6 = -u*z. What are the prime factors of z? 3 Suppose 2*c = 4*c - p - 93, 4*p = 20. What are the prime factors of c? 7 Let x = -9 + 13. Suppose -w = -x*b - 22, 50 = 5*w - 0*b - 5*b. List the prime factors of w. 2, 3 Let x(j) = -j**3 - j**2 - j + 7. Let q be x(0). What are the prime factors of 133/28*(q + 1)? 2, 19 Suppose -3*d - d = -8. Let x = d + 0. What are the prime factors of x? 2 Suppose 3*u = -f + 162, 5*u = 4*f + 3*u - 606. What are the prime factors of f? 3, 17 Let c be (2/4)/(2/20). Suppose c*j + 5*o = 95, -5*j + 4*o = -2*j - 22. Let f = j + -7. List the prime factors of f. 7 Let f(u) = 5*u + 1. Let i be f(1). Let q be i*3/((-6)/(-5)). Suppose -j - 2*j = -q. List the prime factors of j. 5 Suppose -14 = -5*k - 54. What are the prime factors of (-2)/(2/k*1)? 2 Suppose 27 = 5*p + 2. Suppose -r - 32 = -p*r. What are the prime factors of r? 2 Let d(p) = 2*p. Let r be d(-2). Let l(u) = -u**3 - 5*u**2 - 5*u + 1. Let z be l(r). Let k = z + -2. What are the prime factors of k? 3 Suppose -2*j = -8*j + 288. List the prime factors of j. 2, 3 Let w = -8 + 11. Let a be (2/1 - -1)/1. Suppose -l - 2 - w = 0, -l + 22 = a*b. List the prime factors of b. 3 Let p be ((-2)/(-4))/((-1)/18). Let c = -7 - p. Suppose 54 = 7*o - 3*o + c*k, 0 = -3*k + 15. What are the prime factors of o? 11 Let p(v) = v**3 - 3*v**2 + 4*v + 10. List the prime factors of p(6). 2, 71 Let u be 6/33 + 163/11. Suppose -40 = -4*c + w + w, -2*w + u = c. What are the prime factors of c? 11 Suppose 2 = -2*b - 2. List the prime factors of 20 + (5 + b)/3. 3, 7 Suppose 2*u = -2*u + 2*q - 54, 0 = 2*u - 3*q + 17. Let k = u - -56. List the prime factors of k. 2, 5 Let n = -24 - -66. List the prime factors of n. 2, 3, 7 Let b be 4/((-4)/3 - -2). What are the prime factors of (-19)/(-3) + (-2)/b? 2, 3 Suppose 10*s - 5*s = 70. Let a = s + -7. What are the prime factors of a? 7 Suppose 3*i + 6 = 0, 5*l + 3 - 6 = -i. List the prime factors of 25 + (0 - (l + 1)). 23 Let l be (-414)/(-12)*8/6. Let t = l - 26. List the prime factors of t. 2, 5 Suppose 0 = -5*g - 24 - 231. Let s = -29 - g. What are the prime factors of s? 2, 11 Suppose -2*o + 140 = -i + 6*i, 3*i - 84 = -3*o. List the prime factors of i. 2, 7 Let x(o) = -4*o + 5 - o**2 - o**2 + o**2 + 2*o**2. What are the prime factors of x(7)? 2, 13 Suppose 160 = -8*u + 13*u. List the prime factors of u. 2 Let s be 4/1*(-177)/(-12). Suppose 2*m - 16 = -3*u + 31, -4*m = -u - s. What are the prime factors of m? 2 Suppose 4*r - 3*r + 45 = 0. List the prime factors of r/(-5) + -1 + -1. 7 Let t = -3 + 5. Let d(y) = -5 + y + y**3 + y + 2. List the prime factors of d(t). 3 Let m(r) = 2*r**3 + 16*r**2 - 10*r - 13. What are the prime factors of m(-8)? 67 Let r(c) = c**2 + 5*c - 9. Let z be r(-7). Suppose z*b - 3*b - 4 = 0. List the prime factors of b. 2 Suppose 3 + 0 = s. Suppose 16 = 2*o - 4*w, s*w - 72 = -4*o + w. What are the prime factors of o? 2 Let q = 16 - 0. Let w = 30 - q. List the prime factors of w. 2, 7 Suppose 4*u - u = 105. List the prime factors of u. 5, 7 Let d be (-15)/(-12) - 3/(-4). What are the prime factors of 54/4*d/3? 3 Suppose 16 = 4*y, -3*s + y + 130 - 41 = 0. What are the prime factors of s? 31 Suppose -a + 11 = -21. What are the prime factors of a? 2 Let k(d) be the first derivative of -d**3/3 - 5*d**2/2 - 4*d - 1. Let i be k(-4). Suppose c - 7 - 1 = i. List the prime factors of c. 2 Let g(n) = n**3 - 11*n**2 - 10*n - 20. List the prime factors of g(12). 2 Let h(s) = -s**3 + 2*s**2 - 1. Let m be h(-1). Let n(i) = -i**3 + 4*i**2 - 4*i + 2. What are the prime factors of n(m)? 2 Suppose -500 = 3*b - 8*b. Let y = b + -68. What are the prime factors of y? 2 List the prime factors of -41*3*(-10)/30. 41 Suppose 6*p - 2 = 5*p. Suppose -5*k - 5*r + 2*r + 188 = 0, -p*r + 187 = 5*k. List the prime factors of k. 37 Let z = 25 + -17. Suppose 5*r - z = 2. What are the prime factors of r/(-5) + (-64)/(-10)? 2, 3 What are the prime factors of (-5 + 11)*8/3? 2 Suppose -2 = -p + 3*p - 2*y, p = -2*y - 10. List the prime factors of (-4)/16 - 61/p. 3, 5 Let p = -32 + 99. List the prime factors of p. 67 What are the prime factors of 44/6*(36 - 0)/6? 2, 11 Let c(x) = 3*x**2 + 1. Let q be c(-1). Suppose 4*l = 8 + q. Suppose f + 3 = -4*m + 7, 3*f + l*m = 12. What are the prime factors of f? 2 Let q(s) = 5*s + 4. Let x(z) = 11*z + 7. Let l(d) = -9*q(d) + 4*x(d). Let w be l(-5). List the prime factors of (-1 - w)*(-2 - -3). 2 Let r(j) be the second derivative of 0 - 1/6*j**3 + 8*j**2 + j. List the prime factors of r(0). 2 Suppose 2*b - 17 = b. Let r = b + -12. Suppose -14 = -3*j - h + 21, -r*h = 5*j - 55. List the prime factors of j. 2, 3 Let n(l) = l**3 - 9*l**2 + 5*l - 20. What are the prime factors of n(10)? 2, 5, 13 Suppose -3*k + 86 = -4. What are the prime factors of k? 2, 3, 5 Suppose 4*f + 3*i + 0*i = -26, 0 = -f + 4*i + 3. What are the prime factors of ((-1)/3)/(f/165)? 11 Let y be -1 - -5 - (2 - 1). Suppose m - 6 = -4*v, 2*v + y*m - 3 + 5 = 0. Suppose 5*p - 2 = -v*j + p, -3*p = -5*j + 70. List the prime factors of j. 11 Let y = -48 + -1. Let l = 73 + y. Suppose -4*d = 5*a - l, -3*d = -6*d + 4*a + 18. List the prime factors of d. 2, 3 Let u = -66 - -188. What are the prime factors of u? 2, 61 Let v = 256 - -2. List the prime factors of v. 2, 3, 43 Suppose -3*z + 3*s + 2*s = -26, 2*z + 4*s = -12. Suppose -3*m - 8 = -z*k, -3*m + 8*m = -2*k - 40. Let u(b) = -b**2 - 6*b + 5. List the prime factors of u(m). 5 Let a(b) = 35*b**2 - 2*b - 6. What are the prime factors of a(-2)? 2, 3, 23 Let b = -58 + 95. List the prime factors of b. 37 Let v(q) = q**3 - 7*q**2 + 8*q + 4. List the prime factors of v(6). 2 List the prime factors of (1 - -37) + (3 - 6). 5, 7 Let w = 37 - 11. What are the prime factors of w? 2, 13 Suppose -235 = -u - z, -u + 199 = -5*z - 24. List the prime factors of u. 233 Suppose 0 = -3*q + 3*w + 105, -30 + 77 = q - 4*w. List the prime factors of q. 31 Suppose 2*q - 7*q = -3*f - 67, -5*f - 4*q - 87 = 0. Let k = f + 32. What are the prime factors of k? 13 Suppose -9*o + 6*o + 585 = 0. List the prime factors of o. 3, 5, 13 Let r be (-3)/2*(-20)/6. Suppose 0*u + 45 = u + r*l, -4*l + 40 = u. Suppose 0 = 5*o - 10 - u. List the prime factors of o. 2, 3 Let i(n) = -n**2 + 34*n - 56. What are the prime factors of i(26)? 2, 19 Let m(i) = -8*i - 1. Let y be m(-1). Let x = 9 - y. Suppose -20 = -2*d - x. What are the prime factors of d? 3 Let v(t) = t**2 + 6*t + 8. Let j = -1 + -5. What are the prime factors of v(j)? 2 List the prime factors of (-8)/(144/(-1629)) - (-1)/2. 7, 13 Let n(i) = 14*i**2 - 3*i - 3. List the prime factors of n(-2). 59 What are the prime factors of (-48)/(-1 - -4)*(-3 - -1)? 2 Let i(w) = -3*w**3 + 1. Let f be i(-1). Suppose 2*h = f*h. Suppose 4*v = -0*t + 2*t + 6, -5*v + 4*t = h. What are the prime factors of v? 2 Let k = -126 + 241. What are the prime factors of k? 5, 23 Let d(k) = -9*k - 14 + k + 14. Suppose -3*q - 1 = 5. List the prime factors of d(q). 2 Suppose 2079 = 17*u - 8*u. What are the prime factors of u? 3, 7, 11 Let a = -16 - 5. Let q = -13 - a. List the prime factors of q. 2 Suppose -t - a = 4*t - 205, 0 = -5*t - 4*a + 190. Suppose -r + 5*r + 40 = 4*x, 4*x = 5*r + t. List the prime factors of x. 2 Let g be (0 - -1)*(11 - 0). Suppose 0 = 3*s - 5*l + g, l + 9 + 2 = 5*s. What are the prime factors of s? 3 Let j = 28 + -21. Suppose 5*v - 7 + 2 = 0. Suppose -v = k - j. List the prime factors of k. 2, 3 Let l(p) = -p**3 - 5*p**2 + 6*p + 2. Let t be l(-6). Let f be (-1 + -1)/(1 - t). Suppose 0*y - f*s = -y, s = 4. List the prime factors of y. 2 What are the prime factors of ((-73)/(-3))/((-7)/(-21))? 73 Suppose 0 = 5*h - 1161 + 206. What are the prime factors of h? 191 Suppose -3*r + 0*r + 49 = 4*i, 12 = r - 3*i. Let k be (-246)/(2 - (-1)/(-1)). List the prime factors of 6/(-15) - k/r. 2 Suppose 4*p + z = -2*z + 9, -4*z = -4*p + 16. Suppose 5*a + t = 10, 0 = -p*a + 4*t - 14 - 3. List the prime factors of 2*a/(-2) + 14. 13 Let a(i) = i + 2. Let f be a(2). Suppose -2
{ "pile_set_name": "DM Mathematics" }
placement from vvjjv. 1/10 Four letters picked without replacement from {w: 12, s: 1}. Give prob of sequence swww. 1/13 What is prob of sequence wwx when three letters picked without replacement from wwfxcwf? 1/35 What is prob of sequence pppd when four letters picked without replacement from pppppppppdppppp? 1/15 Two letters picked without replacement from hbbehlbb. Give prob of sequence bb. 3/14 What is prob of sequence zz when two letters picked without replacement from {z: 12, l: 6}? 22/51 Four letters picked without replacement from ccmcmccmcmcmmcvcccb. What is prob of sequence mmcc? 275/7752 Two letters picked without replacement from wjrrrjcrgr. What is prob of sequence jw? 1/45 What is prob of sequence huu when three letters picked without replacement from uuhh? 1/6 Calculate prob of sequence ah when two letters picked without replacement from jmjmhjjha. 1/36 Calculate prob of sequence vekk when four letters picked without replacement from eekyvyeekv. 1/315 Four letters picked without replacement from yxxyxxyllxii. What is prob of sequence lxyx? 1/99 Calculate prob of sequence hbhb when four letters picked without replacement from hfffhbwwwwfbfwffwf. 1/18360 Three letters picked without replacement from xwaxtawwaaz. What is prob of sequence wzw? 1/165 What is prob of sequence gg when two letters picked without replacement from ggngggn? 10/21 Four letters picked without replacement from {s: 1, o: 5, i: 1, f: 7, a: 2}. What is prob of sequence aoas? 1/4368 Two letters picked without replacement from awazy. Give prob of sequence wa. 1/10 What is prob of sequence cc when two letters picked without replacement from mdmmdmccmccmmmmm? 1/20 What is prob of sequence xyr when three letters picked without replacement from {r: 2, y: 1, x: 3, g: 5, v: 7}? 1/816 Three letters picked without replacement from iwlllllzuzzzlbzzwuz. Give prob of sequence wlz. 14/969 What is prob of sequence bmgb when four letters picked without replacement from {g: 8, b: 7, m: 5}? 14/969 Two letters picked without replacement from mqqqrqr. Give prob of sequence mr. 1/21 Calculate prob of sequence he when two letters picked without replacement from {p: 2, y: 2, h: 1, e: 5, s: 4}. 5/182 Two letters picked without replacement from {m: 1, h: 4, r: 1, g: 1, n: 1}. Give prob of sequence rh. 1/14 What is prob of sequence hc when two letters picked without replacement from {p: 5, s: 7, c: 1, n: 1, h: 1}? 1/210 What is prob of sequence wwvv when four letters picked without replacement from {v: 11, w: 6, f: 1}? 55/1224 What is prob of sequence dekv when four letters picked without replacement from {d: 1, e: 2, v: 1, k: 1, b: 1, u: 1}? 1/420 Four letters picked without replacement from {u: 2, z: 1, k: 1, q: 3, p: 1, l: 3}. Give prob of sequence lupl. 1/660 What is prob of sequence sxxb when four letters picked without replacement from lzsxlslzsslskksblxz? 1/7752 Four letters picked without replacement from {j: 2, w: 3, k: 4}. What is prob of sequence wjkw? 1/63 Three letters picked without replacement from nfenwwweffefewwofee. What is prob of sequence eee? 20/969 Calculate prob of sequence hqp when three letters picked without replacement from {p: 4, e: 2, q: 3, n: 2, h: 1}. 1/110 Calculate prob of sequence zk when two letters picked without replacement from nnzznnzknzvzzkzvkk. 14/153 Three letters picked without replacement from gggglxglelgggeseesg. Give prob of sequence xlg. 3/646 Calculate prob of sequence dv when two letters picked without replacement from {c: 2, v: 1, m: 3, d: 1}. 1/42 Calculate prob of sequence byo when three letters picked without replacement from {t: 1, k: 1, b: 5, o: 1, y: 1}. 5/504 What is prob of sequence mbo when three letters picked without replacement from {c: 7, m: 3, o: 3, b: 7}? 7/760 Three letters picked without replacement from {g: 2, d: 3, b: 5, z: 2}. What is prob of sequence ddd? 1/220 What is prob of sequence sd when two letters picked without replacement from sfqlccdslfsdll? 3/91 Four letters picked without replacement from ffszwts. What is prob of sequence tftz? 0 What is prob of sequence qg when two letters picked without replacement from gzqqzfffqffgqzzgfff? 2/57 What is prob of sequence ppp when three letters picked without replacement from pppppepppppppee? 44/91 Calculate prob of sequence it when two letters picked without replacement from iitrrimtrr. 1/15 Three letters picked without replacement from {a: 3, b: 7}. What is prob of sequence bab? 7/40 Four letters picked without replacement from {n: 7, l: 8, w: 4, r: 1}. Give prob of sequence wllr. 28/14535 Four letters picked without replacement from {x: 7, w: 12}. What is prob of sequence xxww? 77/1292 Calculate prob of sequence vet when three letters picked without replacement from {t: 1, e: 1, v: 1}. 1/6 Calculate prob of sequence hav when three letters picked without replacement from {v: 4, z: 6, h: 1, a: 2}. 2/429 What is prob of sequence ipo when three letters picked without replacement from poopoiowppoxpwpppwx? 20/2907 Four letters picked without replacement from ppppxpppx. What is prob of sequence pxpx? 1/36 Calculate prob of sequence llzl when four letters picked without replacement from lllzzzz. 1/35 Two letters picked without replacement from paaaaapappapa. Give prob of sequence aa. 14/39 Three letters picked without replacement from {d: 1, n: 3, v: 1, c: 2}. Give prob of sequence vnc. 1/35 Calculate prob of sequence fyby when four letters picked without replacement from {y: 2, f: 1, b: 1}. 1/12 Calculate prob of sequence qba when three letters picked without replacement from bqbqsbsaabbs. 1/66 Calculate prob of sequence mfmf when four letters picked without replacement from ffmffmff. 1/28 Two letters picked without replacement from ctctmwwcco. Give prob of sequence tc. 4/45 What is prob of sequence nlo when three letters picked without replacement from {l: 8, o: 2, n: 2, t: 7}? 16/2907 Four letters picked without replacement from ttqdttdqqqttttdtdtt. Give prob of sequence dtqt. 55/2907 Three letters picked without replacement from {q: 2, b: 1, s: 3, l: 1}. What is prob of sequence qlb? 1/105 What is prob of sequence cjd when three letters picked without replacement from djcdkjcjk? 1/42 Four letters picked without replacement from ufiyyyu. Give prob of sequence fiyy. 1/140 What is prob of sequence ego when three letters picked without replacement from {e: 1, z: 1, o: 2, s: 1, l: 2, g: 2}? 1/126 Four letters picked without replacement from eeokjo. Give prob of sequence jkoo. 1/180 Three letters picked without replacement from qquuquuquuquu. What is prob of sequence uuq? 70/429 What is prob of sequence kl when two letters picked without replacement from {i: 2, e: 4, k: 2, l: 1, m: 4, x: 1}? 1/91 What is prob of sequence tqlw when four letters picked without replacement from {l: 2, c: 1, t: 1, w: 1, x: 2, q: 2}? 1/756 Two letters picked without replacement from clzlzwczyczzwlwzcvl. What is prob of sequence wl? 2/57 Three letters picked without replacement from {q: 1, m: 1, l: 2, z: 3, d: 4, a: 1}. What is prob of sequence zmd? 1/110 What is prob of sequence otoo when four letters picked without replacement from {o: 3, t: 1, g: 1}? 1/20 Three letters picked without replacement from {s: 1, c: 4, j: 1, u: 3, v: 6, i: 3}. What is prob of sequence jsc? 1/1224 Calculate prob of sequence uvuv when four letters picked without replacement from {u: 2, j: 3, w: 2, v: 4}. 1/330 Three letters picked without replacement from qqgogccccoccqcg. What is prob of sequence ogc? 1/65 Calculate prob of sequence az when two letters picked without replacement from jaaaazjaraz. 6/55 Four letters picked without replacement from {u: 3, j: 5, l: 5, r: 2}. Give prob of sequence ulll. 1/182 Three letters picked without replacement from {v: 7, y: 2}. Give prob of sequence vyy. 1/36 Calculate prob of sequence xuu when three letters picked without replacement from {u: 5, x: 11}. 11/168 Four letters picked without replacement from qwqwqq. What is prob of sequence qqwq? 2/15 Two letters picked without replacement from ggllfgoofgffyfolr. Give prob of sequence oo. 3/136 Four letters picked without replacement from {o: 1, k: 2, s: 2, h: 8, f: 2, u: 2}. Give prob of sequence kffs. 1/7140 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
positive. k**(-1024/15) Simplify (o**(13/2)*o)/(o/o**(-31))*o**(-1/20)*o*o**46 assuming o is positive. o**(449/20) Simplify ((p*p*p*p*p*(p**(2/5)*p)/p)**(-41)*(p**(-2/5)*p*p)**(-42))/((p/p**(1/4))**(5/18)*(p/(p**(2/3)*p)*p)/p**(-2/5)) assuming p is positive. p**(-6949/24) Simplify (y**(16/11)*y)**(1/21)/(y**(-1/20)/(y/(y/y**35))) assuming y is positive. y**(54157/1540) Simplify ((z**7)**(4/13)/(z/(z*z*z*z**(-2/5)/z)*z*z**(1/2)))**(3/4) assuming z is positive. z**(489/520) Simplify (((i**(-6)/i**1)/(i**(-6)*i*i/(i/((((i*i/(i/i**(2/9)))/i)/i)/i))*i*i))**(-9/10))**37 assuming i is positive. i**74 Simplify ((r**(-1/5)/r*r**(-3/28)/r)**5)**(-27) assuming r is positive. r**(8721/28) Simplify (r*r*r/(((r/((r*r*r**8*r)/r)*r)/r)/r)*r*r*r*r/r**(-6)*r)**(-50)*((r**4*r)/r*r)/((r/(r*r**1*r)*r)/r*r)*(r**1)**(1/11) assuming r is positive. r**(-13133/11) Simplify (v**(-7)/v)/v**(-7/5)*(v*v/v**0*v*v*v)**(2/83)*(v**6/(v**6*v))**(-10) assuming v is positive. v**(1461/415) Simplify (((i*i/(i*i**(-8)*i))/i)/((i/(i**(-2/7)*i)*i)/i))**31/((i*i**(-4/7)*i*i)/(i*i**(3/8))*i**5*i**5/i) assuming i is positive. i**(11093/56) Simplify (s**(1/6)/(s*s**(-1/3)/s*s))**(7/6)*((s*s**1)/s*s)**(-20)*(s*s/((s*s/(s*s**(2/19)*s*s*s))/s)*s)/(s*s*s**(-4/3)) assuming s is positive. s**(-2671/76) Simplify h**8*h*(h**(-1)/h)/h*(h*h*h**1)**(-2/29)*(((h/(h/h**12))/h)/(h*h**(-6)*h*h))**21 assuming h is positive. h**(8694/29) Simplify (((d*(d*d**(4/9))/d*d*d*d**(-3)*d*d)/(((d**(2/7)*d*d)/d)/d**(-8)))**(-9/4))**14 assuming d is positive. d**(431/2) Simplify (((s/(s*(s**(-3/8)/s)/s))/s**(-5))/(s/(s/(s/(s**5/s)))*s**5))/(s**0*s**(-5)/s)**(-2/81) assuming s is positive. s**(1129/216) Simplify (y**(-2/19)*y**(4/9))/(y**(-2/5))**(2/15)*(y**1)**19*y**(-2/9)/y**(-6) assuming y is positive. y**(107603/4275) Simplify (t**8/t*t/(t**(-10)*t)*t*t*t**(4/29)/t*t**27)**(-4/25) assuming t is positive. t**(-5236/725) Simplify (f**2/f*f*f/((f/(f*f**(-18)*f))/f*f)*((f**24/f)/f)/f**(1/26))**(-12/11) assuming f is positive. f**(-1242/143) Simplify ((x**(-2/7)/x*x)**(-27)/(x**(-2))**(-14))/((x**(-1)*((x*((x/(x/(x/(x/(x**5/x*x))*x))*x)/x)/x)/x)/x)/(x*x**(2/9))**(-2/155)) assuming x is positive. x**(-227539/9765) Simplify ((w**(1/3))**(-46))**(4/5)*(w**(2/15)*w**13)**46 assuming w is positive. w**(8878/15) Simplify (q*q**(7/3)*q)/(q*(q*q**(-28)/q)/q*q)*q*q**(4/15)/q*q*q**29 assuming q is positive. q**(308/5) Simplify ((((k*k**(1/2))/k)/k)/(k**(2/9)/k*k))**(27/4)/((k*k**1*k)**23/(k**0)**(-32)) assuming k is positive. k**(-591/8) Simplify ((t*t**1)/t)**6/(t/t**1)**(-1/10)*(t**2/(t/(t/(t**(2/3)*t))))/((t*(t/((t**1*t)/t)*t)/t*t)/(t**(-5/2)*t)) assuming t is positive. t**(17/6) Simplify ((k**(2/13)/(k**1*k))/(k**(-1/12)*k*k/((k/(k**(3/7)/k))/k)*k))**6 assuming k is positive. k**(-4577/182) Simplify ((y*y*y**(-2/3)*y)/((y**3*y)/y*y))**(1/17)/((y**(-1/3)/(y*y*y**1))/((y/((y/y**(1/2))/y))/y**(-5))) assuming y is positive. y**(331/34) Simplify (v/(v/(v*v**(1/3))))/v**(3/2)*(v*v**(-3/7)/v)/v*v**0*((v**(-2/3))**(-2/11))**(-2/49) assuming v is positive. v**(-1725/1078) Simplify (((k/(k/k**(-32)))/k)/((k/(k*k/((k/((k/((k/k**23)/k))/k))/k)))/k))/((k*k*k**(-18)*k)/(k/(k**11/k))) assuming k is positive. k**(-2) Simplify (((u*u**(3/16))/u)/u)/(u/((u/(u*u**44))/u))*u**(-5)/u*u**(1/19)*u assuming u is positive. u**(-15735/304) Simplify ((u**(3/7)*u*((u**(-2/7)*u)/u)/u)/((u**(-1/7)*u)/((u*u**(2/5))/u)))/((u*u*u/(u/(u*u*u/(u*u/(u/(u**1*u)))))*u)**(2/17))**(19/4) assuming u is positive. u**(-2369/1190) Simplify (a**(-2/29)/a**7)**(-2/25)*(a**(-2/9))**(1/14)*(a*a**2)/a**4 assuming a is positive. a**(-4114/9135) Simplify (g/g**(1/8)*g*g*g/((g**(2/9)*g)/g*g))**(8/5)/((g*g/g**(1/4))**(-4/15))**(-35) assuming g is positive. g**(-544/45) Simplify (l**22/l**7*l*l*l**(-28)*l*l**(-1/30))**(-2/67) assuming l is positive. l**(301/1005) Simplify (q*q**(-6)*q*q**(2/3)*(q*q*q**(-4)*q*q)/q**(-3/2))/(((q/(q/(q**2/q)))/q**9)/((q*(q**(1/10)/q*q)/q*q)/((q*q/q**7*q)/q))) assuming q is positive. q**(184/15) Simplify (((h*h**5)/(h*h/(h/h**(-2)))*((h**(-10/7)*h)/h)/h**(-9))**(-1/7))**45 assuming h is positive. h**(-4590/49) Simplify r**(-4/9)*r**7*(r**(-1/2))**(1/62)*((r*(r/((r*r/(r*r**(-1/17)))/r))/r)/(r/r**(2/35)))**(1/53) assuming r is positive. r**(230425129/35193060) Simplify (y**(-5)*y*y**(-4)/y)**(8/7)/((y**(-5)/y**5)/((y/y**(-3)*y*y*y*y)/(y**0*y))) assuming y is positive. y**(47/7) Simplify ((x**(3/7)/((x**(-6)/x*x)/x))/(x**(2/7))**(2/15))/((x*x/(x*x**(2/3)))**(4/21)/(x/x**(-1/2)*x)**(-6/13)) assuming x is positive. x**(25279/4095) Simplify (x**(1/3))**(1/13)*x/x**(-5)*x*x*x**5*(((x*x/(x**(-11)*x)*x)/x)/x*((x*x**1)/x)/x)**36 assuming x is positive. x**(15952/39) Simplify ((t**(-4))**19)**(-7/2)/(((t/(t/(t/t**(1/4))))/t*t)**14/(t**(-5/4)*t**(-1/13))) assuming t is positive. t**(13217/52) Simplify ((p/p**(1/2)*p**(-2)/p)/(p**(-2))**(-19))/((p**(-1/3))**(-1/3)/(p/(p**(-6/5)/p)*p*p*p**(2/9)*p)) assuming p is positive. p**(-3077/90) Simplify ((f*f/f**(-2/25)*((f/(f/(f*f/(f*f**(2/31)*f)*f)))/f)/f)**13)**(-2/75) assuming f is positive. f**(-20462/58125) Simplify (z**(-6)*z*z*z*z/z**7*((z*z**1)/z)**16)**1 assuming z is positive. z**7 Simplify ((w*w*w*w**(2/5)*w**(-1))/(w/(w/(w*w**5))*w*w*w**(-2/3)*w*w))/(w/(w/(w/(w*w**(-7))))*w*w/w**(2/9)*(w*w/(w/w**1))**34) assuming w is positive. w**(-3767/45) Simplify w/w**(-12/11)*w/(w**(21/8)*w)*w**42*w/((w**1/w*w)/w)*w assuming w is positive. w**(3825/88) Simplify k**(3/4)/((k/(k/(k/(k/(k*k**(-8))))))/k*k)*(k/k**(-1/4))**(6/13)*((k**(-3)*k)**(-26))**(-20) assuming k is positive. k**(-53647/52) Simplify (((((j/((j*j**(1/4)*j)/j))/j)**25)**(2/81))**(-2/23))**33 assuming j is positive. j**(1375/621) Simplify (w**(2/9)*w*w*w**6*w*(w*w**(-2))/(w**0/w))/(w**4*w**(-5/6))**(1/51) assuming w is positive. w**(2803/306) Simplify (a**(-9)/a**6)**29*(a**(-1/8)/a*(a/a**(1/13))/a)/(a**(5/4)*a**8) assuming a is positive. a**(-46327/104) Simplify (z/(z*z**(-2))*z/(z/(z**(-1/2)*z*z)*z))/(z**(-4)/z*z**(2/15))*z*z*z**(-2/13)*z*z*z**(-3/2)/z*z*(z**(-2/5)*z)**7 assuming z is positive. z**(2713/195) Simplify ((m**(-4)/m)/m*m)/m**(-21)*m**(6/11)*m/m**40*m*m*m assuming m is positive. m**(-214/11) Simplify (o**(1/2)*o*o/o**(-1/5))**(1/60)/((o**(2/7))**42*((o**2/o)/o)/o*(o/(o/(o*o*o**(1/3))))/o*o*o) assuming o is positive. o**(-8573/600) Simplify (d**(1/6)/(d*d/d**(-1/10)))**(-2/49)*(d**(4/9)/(d**(-3/5)*d))/(d*d/d**(-1)*d)**(-11) assuming d is positive. d**(97292/2205) Simplify (q*q**(2/3)*q**3)**(-14)/((q*q*q**0)**14)**(-33) assuming q is positive. q**(2576/3) Simplify ((s/(s/(s*s/s**(4/7))))/s**(-5)*(s/s**(2/11)*s)/s**(2/11))/(s**(-6)/s*s**(1/3)*s)**(-2/43) assuming s is positive. s**(77491/9933) Simplify (((l**(3/2)*l)/l)/((l**(-6)/l)/l))/(l**(1/9)*l/(l**(2/3)/l))*l**(1/4)*l*l**6*l/l**(-2/15)*l*l*l**0 assuming l is positive. l**(3319/180) Simplify ((l/(l/(l*l**(-1)*l*l))*l)**(-47))**(3/31)/(l**(1/8)*l**(-2/5)*l*l**(1/5)*l*l*l**(-4/7)*l*l) assuming l is positive. l**(-156229/8680) Simplify ((((i**(-1)/i)/i)/i*i)/(i/i**(-7))*i*i*i**(3/5)*i**5)/((i/((i/i**(2/13))/i)*i*((i**(1/2)*i)/i)/i*i*i)/(i**(-2))**(-41)) assuming i is positive. i**(9743/130) Simplify (t**(1/5)*t**(-1)*t)/(t**3/t**(5/3))*((t*t**(-3/5)/t)/(((t*(t**(-6/7)/t)/t)/t)/t))**(35/2) assuming t is positive. t**(838/15) Simplify (((n**2)**(-1/2)*(n**(-1/3))**(3/2))**22)**18 assuming n is positive. n**(-594) Simplify (q**(-16)/((q**(-20)*q)/q)*(q**(3/5)*q*q)/q*q**9)**19 assuming q is positive. q**(1387/5) Simplify ((m**(1/2))**43*(m/(m**9*m))/(m/(m**(6/5)/m)))**(-8/9) assuming m is positive. m**(-52/5) Simplify ((x/x**(-5))/x*x/(x*(x**(2/11)/x)/x))**(-3/5)/(((x/(x*x*x**(-6/13)))/(x/(x/(x/(x/(x/x**(-7)))))))/(x**(-8)*x*x**(-7))) assuming x is positive. x**(-1366/143) Simplify (h/((h/(h**(-1/17)/h))/h)*h**(-1/3))/(h*h/h**1)**(1/4)*(h*h**(-2/9))**(-1/10)/(h**(-1)*(h**2/h*h)/h) assuming h is positive. h**(-2203/3060) Simplify (((o*o*o**(-4)/o*o*o*o*o)/((o*o**27/o)/o))/(o**(-2/5)/(o**29/o)))**(1/42) assuming o is positive. o**(17/210) Simplify (o**(-21)/(o*o*o**(-3/23)))/((((o**(-43)/o)/o*o)/o)/(o*o*o/(o**(-3/7)*o))) assuming o is positive. o**(3954/161) Simplify ((s**8/s)/(s/(s**0*s)))**(4/9)/((s**4*s*s/(s**4*s)*s)/(s/(s*s**(-1)))**(-1/48)) assuming s is positive. s**(157/144) Simplify ((
{ "pile_set_name": "DM Mathematics" }
(b**(4/3)/b)/(b/((b*b**(-2/5)/b)/b*b)*b) assuming b is positive. b**(-1207/555) Simplify (z/(z/(z/z**(18/11)))*(z*z/z**21*z*z*z)/z)**(1/59) assuming z is positive. z**(-194/649) Simplify (q*q**5)/(q/q**5)*q**(-1)/(q*q/(q/(q**2/q*q))) assuming q is positive. q**6 Simplify v**0/(v*v**(-4)/v*v)*v**4*v*v*v**(-1/5) assuming v is positive. v**(44/5) Simplify b**(-2)/b**21 assuming b is positive. b**(-23) Simplify (c/(c**(-6)/c))/c*c/(c*c**28) assuming c is positive. c**(-21) Simplify (o/o**6*o*o/(o**0*o))**(-10) assuming o is positive. o**40 Simplify (w/w**(-2/7))**(-20)/(w**(-1/3))**(-3/10) assuming w is positive. w**(-1807/70) Simplify ((a*a*a**(2/3))**20)**(-3/5) assuming a is positive. a**(-32) Simplify (s*s*s*s*s**(-19)*s**(5/2))**(-1/19) assuming s is positive. s**(25/38) Simplify b**(-11)*b**(2/5)/b assuming b is positive. b**(-58/5) Simplify u/u**(-4/5)*u*u**(-14)/u assuming u is positive. u**(-61/5) Simplify (t**(-2/5)*t**(-2/15)/t)**(-1/41) assuming t is positive. t**(23/615) Simplify c/(c*c**(1/4))*(c/c**(-2))/c*(c**1)**(10/3) assuming c is positive. c**(61/12) Simplify t*t**(-4)*t**4*((t*t**(-1)/t)/t)**(5/18) assuming t is positive. t**(4/9) Simplify (v/(v/(v/(v*v/(v/(v/(v/v**(-1/3)*v))))))*v*v)/v**(-12) assuming v is positive. v**(46/3) Simplify b**(2/7)/b**(-4/9)*(b/(b*b/b**(3/4)*b*b))/b**(1/5) assuming b is positive. b**(-2167/1260) Simplify (k**(-1/9))**(-21) assuming k is positive. k**(7/3) Simplify d**29*d**(-2) assuming d is positive. d**27 Simplify (m/(m*m**6))/((m/(m/(m*m/((m/(m/(m/(m/m**(-1/4)))))/m)))*m)/m*m)*m**(1/3)/m**(-3) assuming m is positive. m**(-83/12) Simplify (k*k**1)**25/(k/k**(2/7))**12 assuming k is positive. k**(290/7) Simplify ((y*y**(-2/49))/y*y)**(3/46) assuming y is positive. y**(141/2254) Simplify (f**(2/27))**(-2/25) assuming f is positive. f**(-4/675) Simplify (v**(-6)/(v*v/v**(2/49)))**19 assuming v is positive. v**(-7410/49) Simplify (i*i**(-4/7)*i)**(2/47) assuming i is positive. i**(20/329) Simplify (k*k*k/(k*k**9))**(16/5) assuming k is positive. k**(-112/5) Simplify (y**3)**10 assuming y is positive. y**30 Simplify (l**0*l)**(-12/5)/(l**(-5)*l/l**2) assuming l is positive. l**(18/5) Simplify (y**(-21)/y)/(y**(9/7)*y) assuming y is positive. y**(-170/7) Simplify (p/p**(-2/7))/p**(2/41) assuming p is positive. p**(355/287) Simplify j/(j**0/j)*j**(-4) assuming j is positive. j**(-2) Simplify x**(-34)*(x*x**1)/x assuming x is positive. x**(-33) Simplify (i*i**(-4)*i*i**(-1))/(i*i**1)**32 assuming i is positive. i**(-67) Simplify k**(3/7)/k**(1/3)*(k/(k*((k*k*k/k**(-4))/k*k)/k))/k**(-1) assuming k is positive. k**(-103/21) Simplify ((r*r/(r/r**(-1)*r)*r*r)**46)**(-23) assuming r is positive. r**(-1058) Simplify (m/m**(1/2))/m**(-2/7) assuming m is positive. m**(11/14) Simplify (m/(m*(m*m/(m/m**(1/8)))/m)*m*m**(-1/2))/(m*m**(-2/3)*m)**(-7) assuming m is positive. m**(233/24) Simplify ((v*(v/v**2*v)/v)/v)**(3/5) assuming v is positive. v**(-3/5) Simplify ((s**(-9)*s)/((s**(2/19)/s)/s*s*s))/(s/(s*(s*s/(s/s**(-2/7))*s)/s))**35 assuming s is positive. s**(321/19) Simplify (l**(2/3))**(5/2) assuming l is positive. l**(5/3) Simplify (k/(k**(-1/2)*k))**31*k*k**(2/7)*(k*k*k/(k/(k/(k/k**(-7)))*k))/k assuming k is positive. k**(137/14) Simplify (q**(-4/11))**(24/13) assuming q is positive. q**(-96/143) Simplify (y*y**(-8))**(-8) assuming y is positive. y**56 Simplify (k/k**(-2/5))/k**(-18) assuming k is positive. k**(97/5) Simplify ((a*a/a**(-1))/(a**(-4)/a))**(-44) assuming a is positive. a**(-352) Simplify f*f/(f**(-1)*f*f)*f**(-1/2)*f**(2/9)/(f**0/f) assuming f is positive. f**(31/18) Simplify (((s**(1/3)*s*s)/s)/s)**(-2/3)*s**3*s*s**(-6)*s assuming s is positive. s**(-11/9) Simplify d**(-6)/(d**7/d)*d*d**(-5)*d**(6/7) assuming d is positive. d**(-106/7) Simplify a/((a*a**(4/3)/a*a)/a)*a**14 assuming a is positive. a**(41/3) Simplify ((f/f**(2/55)*f)/f)/f**(-34/7) assuming f is positive. f**(2241/385) Simplify (r*r/(r/r**(-13/5)))/(r/(r*r**(-27))) assuming r is positive. r**(-143/5) Simplify ((n/((n/(n*(n*n**(-6)*n)/n*n)*n)/n))/(n**7/n))**(-4/17) assuming n is positive. n**(36/17) Simplify (((i/(i*i/(i*i**5)))/i)/(i/i**(-3/11)))**34 assuming i is positive. i**(1020/11) Simplify (((b/b**6)/b)/(b*b*b*b/(b**(2/15)*b)))/(b**1)**(-46) assuming b is positive. b**(557/15) Simplify ((m/(m*m*m*m/(m/(m*m**(2/5)*m))))**(3/2))**15 assuming m is positive. m**(-99) Simplify ((k/(k/k**(1/5)))/k**(-4))/(((k*k**(-7)/k*k)/k)/k*k*k**4) assuming k is positive. k**(36/5) Simplify (m**7)**49 assuming m is positive. m**343 Simplify (q**(-1)/q)/q**(-4/7) assuming q is positive. q**(-10/7) Simplify ((m*m/m**11)/m*m)**(-16) assuming m is positive. m**144 Simplify (t**(1/4)/(t/(t*t**(-2))*t*t))/(t/t**2*t*t**(-2/11)*t) assuming t is positive. t**(-201/44) Simplify (k**(-6)*k*(k/k**(2/13))/k)**8 assuming k is positive. k**(-536/13) Simplify (g/g**(2/11)*g)/g**5*g**(-5/3)/((((g*(g/g**4)/g)/g)/g*g)/g*g) assuming g is positive. g**(-28/33) Simplify ((u*u**(2/3)/u)/u)**(-1/10)/((u*u**3/u*u)/(u*u**(7/4)/u*u)) assuming u is positive. u**(-73/60) Simplify ((((a/(a/a**(-1/4)))/a)/a)/a**8)/(a*a**(-2/9)*a/(((((a**(-1/4)/a)/a*a)/a)/a)/a)) assuming a is positive. a**(-293/18) Simplify (l/(l/l**(2/9)))/(l*l**(3/7))*(l*l**(-6)*l)/(l*l*l*l**(-3/2)) assuming l is positive. l**(-845/126) Simplify ((u/(u/(u/((u*u/(u**(1/13)/u))/u))*u*u*u))/(u/(u*u/u**(-2/3)*u)))/(u**0/u*u**(2/9)*u) assuming u is positive. u**(-173/117) Simplify (p**6*(p**(-9/5)*p*p)/p)/(p/(p*p**(-1/4)))**(1/23) assuming p is positive. p**(2387/460) Simplify (c/c**4*c/(c/(c*c**(-2)*c*c)))**6 assuming c is positive. c**(-12) Simplify (x**(1/2)*x)**3/((x**(-7)*x)/(x**(4/3)/x)) assuming x is positive. x**(65/6) Simplify (i**1*i*i)**(-7/6)*i/i**(2/13)*i**5 assuming i is positive. i**(61/26) Simplify ((a**4*a)/(a/a**9))/(a*a**(-1))**(-23) assuming a is positive. a**13 Simplify (r*(r**(2/5)*r)/r)**(2/57)/((r/(r*r**4))/r**(-6)) assuming r is positive. r**(-556/285) Simplify ((h/(h*h/h**(-1)))/(h**(-1/4)*h))/((h*h/(h/h**(2/3)))/h**(-1)) assuming h is positive. h**(-65/12) Simplify (m**(-1/4))**(-19)*m/(m/((m*m**1)/m))*m*m**7*m assuming m is positive. m**(59/4) Simplify (c**(-2/13)*c**3)/(c**4/c**(3/2)) assuming c is positive. c**(9/26) Simplify ((b*b*b**1)**(-6/23))**(2/23) assuming b is positive. b**(-36/529) Simplify ((l*l**(-8))/l)**(17/6) assuming l is positive. l**(-68/3) Simplify x*x**(-40)*x**(-1/3) assuming x is positive. x**(-118/3) Simplify o/(o*o**7)*o*o*o**10 assuming o is positive. o**5 Simplify ((p*(p/(p/(p/(p/(p*p/(((p**(-2)*p*p)/p)/p))))*p))/p*p*p*p*p)/(p**(-2/9)*p))/((p*p/p**1)/p)**(2/65) assuming p is positive. p**(56/9) Simplify (z**(-2/15)/((z*(z/z**1)/z)/z*z))/(z**1)**22 assuming z is positive. z**(-332/15) Simplify p**(-4/3)/(p*p*p*p/p**(5/2)*p)*(p**(-4)*p)/(p/(p*p**(-1)*p*p*p)*p) assuming p is positive. p**(-35/6) Simplify ((m**(1/4))**(-4))**7 assuming m is positive. m**(-7) Simplify (g/(g/(g/(g*g*(g/(g/g**10)*g)/g))*g)*g*g**7*g*g)**(1/9) assuming g is positive. g**(-2/9) Simplify d*d**11*d**(1/2)/d assuming d is positive. d**(23/2) Simplify ((q*(q*q*q**(1/11)*q*q*q)/q)/q*q**(2/35))**(-1/13) assuming q is positive. q**(-1597/5005) Simplify w**(-2/51)/w**(-2/15) assuming w is positive. w**(8/85) Simplify d**(-1/8)*d**4/d assuming d is positive. d**(23/8) Simplify (h**(1/3)*h)**50*(h*h/h**1)/h**0 assuming h is positive. h**(203/3) Simplify p**(-9/4)*p/p**23 assuming p is positive. p**(-97/4) Simplify (((c/c**(-5))/c)/(c**(-2/7)*c*c))**(-15) assuming c is positive. c**(-345/7) Simplify ((c/((c*c**19)/c))/c)/((c**(3/23)*c*c)/c) assuming c is positive. c**(-463/23) Simplify ((h**(2/3)*h)/h*h)/(h*h/(h*h/(h**(1/4)*h))*h)*(h/(h**(-3/4)/h))/h**(-2) assuming h is positive. h**(25/6) Simplify c**(-29)*c**(1/12)*c assuming c is positive. c**(-335/12) Simplify (p**2*p)**37*((p**2/p)/p)**(-8) assuming p is positive. p**111 Simplify (c*c/(c*c*c**4))/c**(-1/17) assuming c is positive. c**(-67/17) Simplify (w/w**(2/9))**(-17) assuming w is positive. w**(-119/9) Simplify (l/(l/(l/l**(1/4))))**6*(l/(l*(l*((l*l**0)/l)/l*l)/l))/(((l**(-1)/l)/l)/l) assuming l is positive. l**(17/2) Simplify l/(l/l**(-7)*l)*l**(2/17)*l assuming l is positive. l**(-117/17) Simplify (m/m**(-1))**(2/21)/(m**(-1)*m
{ "pile_set_name": "DM Mathematics" }
2 + 2*p - 4. Let y(g) = -90*g**3 - 30731*g**2 + 15*g - 30. Let v(a) = 15*q(a) - 2*y(a). Find the third derivative of v(n) wrt n. -90 Let z(c) = -639*c**2 - 152*c + 4. Let f(n) = 1271*n**2 + 302*n - 9. Let p(h) = 4*f(h) + 9*z(h). What is the second derivative of p(y) wrt y? -1334 Let r(p) be the first derivative of -87 + 0*p - 5/3*p**3 - 79/2*p**2. Find the second derivative of r(m) wrt m. -10 Suppose 0 = -36*v + 13*v + 1449. What is the third derivative of 65*u**2 + 9*u + v*u**2 - 4*u**4 + 60*u**2 - 186*u**2 + 2*u**5 wrt u? 120*u**2 - 96*u Find the second derivative of -114*k**3 + 212*k**3 - 108*k**2 + 208*k**2 - 21 + 44*k - 110*k**3 + 384*k**2 wrt k. -72*k + 968 Find the second derivative of 1367 - m - 4464*m**2 + 4464*m**2 - 1527*m**5 wrt m. -30540*m**3 Suppose 26*d - 23 = -5*z + 25*d, 3*z = 8*d - 55. Let o(m) be the first derivative of 5*m**2 - 22/3*m**z + 0*m - 27. Find the second derivative of o(l) wrt l. -44 Let p(s) = -28*s**3 + 94*s**2 + 427*s - 10. Let u(c) = 14*c**3 - 48*c**2 - 214*c + 6. Let a(h) = -3*p(h) - 5*u(h). Find the second derivative of a(f) wrt f. 84*f - 84 Let k = -56 + 58. Suppose -5*u + 28 = -5*x - k, -2*u - 4*x = 6. What is the first derivative of 10*q**2 - 8*q**u - 10*q**2 - 4 wrt q? -24*q**2 Let b(m) be the third derivative of -1703*m**6/30 + m**5/60 - 245*m**4/12 + m**3/6 - 27*m**2 + 16*m + 2. What is the third derivative of b(a) wrt a? -40872 What is the third derivative of -62*u - 53*u - 63*u + 247*u + 2*u**2 - 52*u + 2236*u**4 + 90 wrt u? 53664*u Let b(k) be the third derivative of 41/120*k**6 + 23/3*k**3 + 0*k**5 + 0*k**4 + 0 + 0*k - 22*k**2. Differentiate b(r) wrt r. 123*r**2 Let f(u) be the third derivative of 487*u**7/70 + 2093*u**3/6 - u**2 - 706. Find the first derivative of f(d) wrt d. 5844*d**3 Let d(h) = h + 2. Let b be d(4). Suppose -4*a - 8 = -b*a. Find the third derivative of 18*s**4 + 5*s**4 + 3*s**2 - 12*s**2 - 2*s**a wrt s. 504*s What is the second derivative of -2886*d**3 - 341*d + 5*d**4 + 2922*d**3 + 4*d**4 wrt d? 108*d**2 + 216*d What is the second derivative of -1151*f**3 + 2132*f - 1067*f - 1069*f - 18 wrt f? -6906*f Let h(q) be the third derivative of -797*q**7/105 + q**4/12 + 715*q**3/6 - 92*q**2 + 7*q. Find the second derivative of h(r) wrt r. -19128*r**2 Suppose 2*t + 22 = -0. Let r(l) = -2*l**2 + 27*l + 83. Let k(h) = 10*h**2 - 135*h - 415. Let q(a) = t*r(a) - 2*k(a). Differentiate q(p) wrt p. 4*p - 27 What is the second derivative of 5*x + 153 + 240 + 908*x**3 + 699 - 317*x**3 - 217 wrt x? 3546*x Let g(q) be the second derivative of 0*q**2 + 0 + 31/6*q**3 - 28/3*q**4 + 53*q. What is the second derivative of g(i) wrt i? -224 Let x(s) be the third derivative of 167*s**8/336 - s**7/35 + s**5/60 - 89*s**4/2 + s**3/2 - 15*s**2 + 10. What is the second derivative of x(c) wrt c? 3340*c**3 - 72*c**2 + 2 Let v(f) be the second derivative of 429*f**8/56 + f**5/10 - f**4/12 - 505*f**2 + 646*f. What is the third derivative of v(m) wrt m? 51480*m**3 + 12 Let j(h) be the second derivative of -17*h**7/14 - h**6/10 + h**5/10 + 240*h**4 - 461*h + 5. What is the third derivative of j(r) wrt r? -3060*r**2 - 72*r + 12 Let z(x) be the second derivative of 131*x**7/7 + 949*x**4/12 - x**3/3 + 74*x - 2. Find the third derivative of z(q) wrt q. 47160*q**2 Find the third derivative of -47*i**3 + 95*i**3 + 74*i**4 - 85*i**2 + 95*i**2 - 172*i**2 - 51*i**3 wrt i. 1776*i - 18 Let w(r) = 8*r - 2. Let j(l) = 827*l - 899. Let b(h) = -j(h) + 5*w(h). What is the first derivative of b(o) wrt o? -787 Let j(o) = -28*o**3 + 34*o**2 - 24*o - 1373. Let i(s) = 23*s**3 - 33*s**2 + 20*s + 1372. Let m(h) = -6*i(h) - 5*j(h). Differentiate m(l) wrt l. 6*l**2 + 56*l Let o = 11945/12 + -3981/4. Let s(h) be the third derivative of 19/6*h**3 + 0 + 16*h**2 + 0*h + o*h**4. What is the first derivative of s(y) wrt y? 4 Suppose -297*l + 309*l = 0. Let f(b) be the second derivative of 8*b**2 + l*b**4 + 0 + 0*b**3 + b - 3/10*b**5. Find the first derivative of f(v) wrt v. -18*v**2 Let b be (-15)/(-6)*(-12)/3. Let y = 13 + b. Find the third derivative of -72*n**y + 4*n**2 - 74*n**3 + 147*n**3 wrt n. 6 Let t be (-21)/(-63) - (-29)/3. Let f(p) = 15*p - 20*p + 4*p + t - 4*p**2 - 3. Let s(c) = -c. Let d(n) = -2*f(n) + 2*s(n). What is the derivative of d(a) wrt a? 16*a What is the third derivative of -2*j**2 + 1828*j**4 + 10091*j**5 - 18*j - 1828*j**4 - 187*j**3 - 26 + 187*j**3 wrt j? 605460*j**2 Let g(r) = r. Let c be g(8). Suppose p = 3*p - c. Find the second derivative of -12*n**4 - n + 25*n + 13*n**p + 6*n**4 wrt n. 84*n**2 Let q be ((-2)/(-1))/((-1)/(-2)). Find the third derivative of -78 + 8*u**3 + 2*u**2 + 19 - q*u**2 - 180*u**4 - 8*u**3 wrt u. -4320*u Let b(w) = -1223*w**3 - 4*w**2 - 1171. Let s(v) = 6116*v**3 + 22*v**2 + 5842. Let j(t) = 66*b(t) + 12*s(t). Differentiate j(p) with respect to p. -21978*p**2 Suppose -3*h + 1 = -f - 0, 5*f = 25. Differentiate 4*n**4 - 22 - 5*n**4 + n**3 - 13*n**h - 15*n**2 - n**3 wrt n. -4*n**3 - 56*n Let m(z) = 92*z**4 + 5*z**3 + 10*z**2 + 2997*z + 5. Let b(f) = -8*f**4 - f**3 - 2*f**2 - 1. Let y(g) = -5*b(g) - m(g). Find the second derivative of y(a) wrt a. -624*a**2 What is the third derivative of -1469990*f + 1469990*f - 238*f**5 + f**3 + 608*f**2 - 412*f**5 wrt f? -39000*f**2 + 6 Let q(b) be the first derivative of -43*b**4/2 - 3*b**2 - 2120*b + 1900. Find the first derivative of q(y) wrt y. -258*y**2 - 6 Let s be 4/(-1) + (-21 - -29). What is the third derivative of -48*n**2 - 76*n**s + 42*n**4 - 8*n**2 + n + 2*n**2 wrt n? -816*n Let k(p) = p**3 + 5*p**2 + p - 1. Let w(b) = 12*b**3 - 33*b**2 + 5*b + 707. Let n(h) = -5*k(h) + w(h). What is the derivative of n(u) wrt u? 21*u**2 - 116*u Let k = 195 - 191. Let r(h) = -4*h - 5. Let d be r(-6). What is the first derivative of 13 + 0*c**3 + 54*c**k + 0*c**3 - d*c**4 wrt c? 140*c**3 Let z(b) be the first derivative of 665*b**4/2 + 2*b**3/3 - 1429*b**2/2 + 1556. What is the second derivative of z(f) wrt f? 7980*f + 4 Let p be (40/(-5) - -7) + 4. What is the third derivative of -p*h**2 - 3 - 7*h**6 - 74*h**6 - 4 - 2 - 2 wrt h? -9720*h**3 Let s(c) be the third derivative of -41/3*c**3 + 0 + 0*c + 0*c**5 + 1/60*c**6 - 1/14*c**7 + 0*c**4 - 2*c**2. Differentiate s(i) wrt i. -60*i**3 + 6*i**2 Let m(g) be the first derivative of -g**6/45 + 7*g**5/24 - 13*g**3 - 16. Let q(k) be the third derivative of m(k). Find the second derivative of q(a) wrt a. -16 Let n = 376 + -373. Find the second derivative of -4*r + 9*r**n - 7*r - 24*r**3 + 2 - 25*r**3 wrt r. -240*r Let i(d) = -34*d - 1. Let s(v) = 18*v + 1. Let c be (-21)/(-5) + 60/75. Let y(w) = c*s(w) + 2*i(w). Differentiate y(t) with respect to t. 22 Suppose 0 = -4*c + 4, -3*u + 7*c - 2*c + 1 = 0. What is the third derivative of -96*i**4 - 100*i**4 + 196*i**4 - 2*i - 87*i**5 - 3*i**u wrt i? -5220*i**2 What is the derivative of 185*c**2 + 3*c**4 + 5929 - 59*c**2 - 6186 wrt c? 12*c**3 + 252*c What is the derivative of 7364 + 302*t + 302*t + 86*t**2 - 962*t + 302*t wrt t? 172*t - 56 Let o(s) be the second derivative of 1257*s**7/14 + s**4/4 - 17*s**3/6 - s**2/2 - 2726*s. What is the third derivative of o(y) wrt y? 226260*y**2 Find the second derivative of -30*r - 13*r + 80*r - 763 - 1155*r**2 + r**3 - 35*r wrt r. 6*r - 2310 Let v(t) be the second derivative of -977*t**3/3 + 1520*t**2 - 4584*t. Differentiate v(s) with respect to s. -1954 Let y(q) be the second derivative of 3 + 5/42*q**7 + 0*q**5 - 3/2*q**2 + 3*q + q**3 + 1/3*q**4 + 0*q**6. What is the second derivative of y(r) wrt r? 100*r**3 + 8 Let q(s) be the first derivative of -797*s**5 - 3*s**3 + 11*s**2/2 + s + 2058. Find the third derivative of q(d) wrt d. -95640*d Let g(l) = -1449*l + 489. Let t(x) = -25*x + 2. Let f(h) = -4*g(h) + 28*t(h). What is the derivative of f(c) wrt c? 5096 Let d(b) = 257*b - 996. Let o(w) = -171*w + 654. Let p(z) = -5*d(z) - 8*o(z). Differentiate p(g) wrt g. 83 Suppose 200 = 13*h + 83. Let d(o) be the first derivative of 0*o**2 - 11/5*o**5 + h*o + 3 + 0*o**3 + 0*o**4. What is the derivative of d(r) wrt r? -44*r**3 Let x(w) = -13865*w**2 - 26*w + 88. Let c(o) = -6*o + 2. Let g(j) = 3*c(j) - x(j). Find the second derivative of g(u) wrt u. 27730 Let g be 20/165*-3*(-22)/4. Suppose -5*v - 4*o + 7 + 15 = 0, v = -o + 5. Find the first derivativ
{ "pile_set_name": "DM Mathematics" }
) = 84*o + 204. Let c(p) = -17*f(p) - 14*r(p). Calculate l(c(b)). -210*b + 6 Let a(l) = -7*l. Let i(f) be the third derivative of f**7/840 + 7*f**5/15 + f**3/3 - 3*f**2 + 5*f. Let o(p) be the third derivative of i(p). What is a(o(x))? -42*x Let s(o) = 11776918*o**2. Let p(x) = 2*x. Calculate p(s(u)). 23553836*u**2 Let p(i) = -2*i - 5. Let b(s) be the first derivative of 3*s + 1/2*s**2 + 15. Let o(g) = 10*b(g) + 6*p(g). Let q(x) = -67*x. What is o(q(t))? 134*t Let c(r) = -3*r**2. Let i(u) = -7570 + 2*u - 7651 + 15043. Calculate c(i(g)). -12*g**2 + 2136*g - 95052 Suppose 2*q - 2 = 0, 5*q + 140 = 14*x - 9*x. Let d(p) = -x*p**2 - 19*p**2 + 47*p**2. Let g(y) = 6*y. Give g(d(a)). -6*a**2 Let c(n) be the third derivative of 7*n**5/10 + 3*n**2 - 20*n - 4. Let h(y) = 2*y**2 - 3. Let w(f) = -f**2 + 1. Let p(r) = -h(r) - 3*w(r). What is p(c(s))? 1764*s**4 Let q(c) = 9*c**2 - 7. Let l(j) = -4*j**2 + 3. Let f(p) = 7*l(p) + 3*q(p). Let w(y) be the third derivative of 19*y**4/24 + 3*y**2. Determine f(w(o)). -361*o**2 Let r(n) = -657031*n. Let j(k) = -4*k**2. What is j(r(w))? -1726758939844*w**2 Let b(j) = -19*j**2. Let w(v) be the second derivative of -11/12*v**4 + 0*v**2 + 0*v**3 + 2*v + 53. Determine w(b(t)). -3971*t**4 Let i(h) = 3*h**2. Let w(p) = -301*p**2 + 12*p. Let m(l) = 210691*l**2 - 8398*l. Let q(v) = 6*m(v) + 4199*w(v). Give q(i(c)). 2223*c**4 Let p(i) = -62*i**2. Let w(b) = -51 - 46 - 42 - 19*b**2 + 139. Give w(p(u)). -73036*u**4 Let l be (0 + 5 - -4) + 3. Let z(d) = 9*d**2 - l*d**2 - 8*d**2 - 5*d**2. Let i(s) = s. What is z(i(g))? -16*g**2 Let d(f) = -f**2 - 2111*f - 1. Let k(y) = 12*y - 27. Calculate k(d(b)). -12*b**2 - 25332*b - 39 Let x(l) be the first derivative of 0*l + 0*l**2 + 22/3*l**3 - 21. Let a(p) = -p. Let f(q) = -q. Let w(r) = -3*a(r) + 5*f(r). Determine x(w(m)). 88*m**2 Let v(a) = 2*a. Let l(p) = 6*p. Let f(g) = -6*l(g) + 17*v(g). Let z(h) be the third derivative of 13*h**5/60 + 5*h**3/6 + 220*h**2 - 2. Determine f(z(n)). -26*n**2 - 10 Let m(v) = v. Let u = -8290 - -8290. Let x(a) be the third derivative of u*a**3 + 0*a + 0 + 1/20*a**5 - 17*a**2 + 0*a**4. Calculate x(m(w)). 3*w**2 Let y(z) = -z - 4*z + 2*z + z + z + 46. Let q(v) = -2*v**2. Calculate y(q(j)). 2*j**2 + 46 Let x(j) = j**3 - 12*j**2 + 13*j - 12. Suppose -5*g + 6*g = 11. Let f be x(g). Let s(n) = -2 + 7 + 5 + f*n**2 - 8*n**2. Let h(p) = -2*p. Calculate s(h(y)). 8*y**2 + 10 Let n(b) be the third derivative of -b**4/24 - 101*b**3/3 + 2*b**2. Let c(x) be the third derivative of -x**4/12 - 21*x**2 - 4*x + 7. What is c(n(m))? 2*m + 404 Let g = 46 - -439. Let s(h) = 2*h + 489*h**2 - g*h**2 - 2*h. Let f(b) = -6*b**2. Determine f(s(q)). -96*q**4 Let s(r) be the first derivative of -7*r**3/3 + 14*r + 616. Let p(d) = 2*d. Calculate s(p(x)). -28*x**2 + 14 Let i(a) = 36*a**2 + 8*a + 4. Let k(l) = 14*l - 416. Let w(v) = 5*v - 156. Let g(q) = 3*k(q) - 8*w(q). Calculate i(g(y)). 144*y**2 + 16*y + 4 Let k(n) = 9*n. Let h(g) be the first derivative of 0*g - 13 + 1/2*g**2. Let c(w) = 6*h(w) - k(w). Let l(f) = -4*f**2. Determine c(l(d)). 12*d**2 Let d(a) = 194*a. Let c(n) be the third derivative of n**5/30 - 753*n**2. Determine c(d(u)). 75272*u**2 Let w(r) = -111*r. Let x(u) be the first derivative of 23*u**2 + 3500. Determine x(w(v)). -5106*v Let w(z) = 50*z**2. Let p(c) = 882268*c**2. What is w(p(u))? 38919841191200*u**4 Let o(h) = 0*h**2 + 0*h**2 + 2*h**2. Let p(g) = 10*g. Let t(j) = j. Suppose 112 = 602*a - 609*a. Let s(f) = a*t(f) + 3*p(f). Give o(s(x)). 392*x**2 Let g(t) = -67*t + 79 + 115*t - 79. Let r(d) = -2*d. Determine g(r(c)). -96*c Let i(l) = 2*l. Let w(p) = 63*p - 1. Let m(n) = 199*n - 2. Let g(d) = -2*m(d) + 6*w(d). Give g(i(j)). -40*j - 2 Let w(o) = -o. Let i(t) = 8802675*t. Determine w(i(q)). -8802675*q Let s(r) = 147 + 2*r**2 - 147 - 5*r**2. Let u(h) be the first derivative of -2*h**2 - 457. Determine u(s(p)). 12*p**2 Suppose 3*j - 2*n = 53, 5*j - 91 = -0*j + 2*n. Let m(l) = -50*l + j*l - 11*l. Let f(y) = y**2. Give m(f(r)). -42*r**2 Let a(x) = 57*x. Let m(c) = 37390*c**2 - 19. Give a(m(z)). 2131230*z**2 - 1083 Let n(w) = -w - 17. Let q(s) be the third derivative of -s**5/5 - 3*s**2 + 84*s. What is n(q(i))? 12*i**2 - 17 Let r(b) = -4*b**2. Suppose 0 = -q - 3*q + 8. Let n(w) = 3*w**2 + 6*w**q + 0*w**2 + 0*w**2. Calculate n(r(t)). 144*t**4 Let s(a) = 4*a. Let z(d) = -2153*d - 1912057 + 1912057. Give s(z(x)). -8612*x Let p(r) = -19*r. Let n(j) be the second derivative of j**6/144 + 15*j**4/4 - 34*j + 1. Let a(l) be the third derivative of n(l). What is a(p(m))? -95*m Let y(f) = f**2. Let n(q) be the first derivative of q**2 - 2435*q - 9065. Determine y(n(r)). 4*r**2 - 9740*r + 5929225 Let z(f) = -2*f. Let t(j) be the first derivative of -96 + 0*j + 0*j**2 - 14/3*j**3. Calculate z(t(u)). 28*u**2 Let z(v) = -47*v**2 - 4*v. Let g(a) = 95*a + 249. What is g(z(t))? -4465*t**2 - 380*t + 249 Let u(l) = -2*l. Let i(h) = 10887274*h. Calculate u(i(w)). -21774548*w Let f(z) = -z. Let l(j) = -523091123*j**2. Determine l(f(g)). -523091123*g**2 Let b(d) = -5*d**2 + 3*d. Let w(s) be the first derivative of 4*s**3/3 - s**2 + 39. Let z(m) = -2*b(m) - 3*w(m). Let n(a) = -87*a. Determine z(n(l)). -15138*l**2 Suppose h = -5*h - 41*h - 25*h. Let f(p) be the third derivative of 12*p**2 + 0*p - 1/12*p**4 + 0 + h*p**3. Let z(q) = 20*q**2. Calculate z(f(r)). 80*r**2 Let k(d) = -35777212*d. Let i(a) = -2*a. Calculate k(i(l)). 71554424*l Let m(g) be the second derivative of -g**5/20 - 34*g**2 + 75*g. Let r(u) be the first derivative of m(u). Let l(w) = -35 + w**2 + 0*w**2 + 35. What is l(r(a))? 9*a**4 Let n(i) = 2*i. Let s(w) be the second derivative of -1/6*w**4 + 0 + 0*w**2 + 11/6*w**3 - 72*w. Calculate n(s(a)). -4*a**2 + 22*a Let g(v) = -17*v + 18. Let u(h) = 62*h - 66. Let t(k) = 22*g(k) + 6*u(k). Let j(d) = -26*d**2 - 5. What is t(j(m))? 52*m**2 + 10 Let x(g) = 1090806163*g**2. Let l(i) = i. What is x(l(v))? 1090806163*v**2 Let m(b) = -20*b - 1. Let o(w) = 2*w + 8823. Give m(o(i)). -40*i - 176461 Let w(h) be the third derivative of -29*h**4/2 - h**3/3 - 4*h**2 - 142*h. Let k(f) = 5*f**2. What is k(w(q))? 605520*q**2 + 6960*q + 20 Let j(b) = -10 - 1371*b + 1371*b + 2*b**2. Let p(o) = 29*o**2. Give j(p(v)). 1682*v**4 - 10 Let n(a) = -2711145*a. Let i(z) = -2*z. Give i(n(u)). 5422290*u Let s be 1*(-11 + 8) + (-4)/(-1). Let v(i) = -s - 51*i + 4 + 9 - 1 + 49*i. Let q(d) = -4*d**2. What is v(q(h))? 8*h**2 + 11 Let n be 20/(-35)*(-14)/4. Let z(w) = -2*w**2 + w - 1. Let k(j) = -j**2 + j - 1. Let t(x) = n*z(x) - 2*k(x). Let r(d) = 3*d + 959 - 959 + 4*d. What is r(t(i))? -14*i**2 Let x(g) = 2*g**2. Let j(q) = -2*q + 2195835. What is j(x(w))? -4*w**2 + 2195835 Let w(q) = -3*q. Let l be 424/(-16)*(1 + 1). Let r = l + 53. Let g(x) = -5*x - 2*x + 0*x + r*x. Calculate g(w(j)). 21*j Let b(l) be the third derivative of -19*l**4/24 - l**2 - 607*l. Let w(x) = -21 + 7*x**2 + 21 - 11*x**2. Give w(b(f)). -1444*f**2 Let m(z) = -1922*z - 1. Let g(c) = 47044*c. Calculate g(m(x)). -90418568*x - 47044 Let t(v) = 26*v + 1. Let f(l) be the third derivative of -l**5/40 - 11*l**3/2 + 118*l**2. Let c(i) be the first derivative of f(i). Give c(t(o)). -78*o - 3 Let r(y) = y. Let w(b) = -2*b - 26. Let q = -41 + 29. Let m be w(q). Let d(s) = -s. Let g(h) = m*d(h) - 3*r(h). Let n(x) = 42*x. What is n(g(t))? -42*t Let m(l) = 3*l**2 + 125*l. Let p(d) = 6*d**2 - 5*d**2 - 13794 + 13794. What is m(p(h))? 3*h**4 + 125*h**2 Let s(i) be the third derivative of -11*i**4/24 + 17*i**3/3 - 8*i**2 + 12*i. Let c(v) = -v**2. Calculate c(s(o)). -121*o**2 + 748*o - 1156 Let z(x) = 6*x**2 - 4*x**2 - x**2. Let k(o) = -112*o + 226*o - 30*o**2 - 116*o - 41 + 41. Determine z(k(j)). 900*j**4 + 120*j**3 + 4*j**2 Let x(q) = -5*q. Let p(l) be the third derivative of l**5/20 + 3*l**4/8 + 574*l**2. What is x(p(t))? -15*t**2 - 45*t Suppose x = -4*q + 48, -2*x + 4*x = 0. Let l(n) = -q*n + 6*n + 0*n. Let s(o) = -9*o**2 - 651 + 651. What is s(l(z))? -324*z**2 Let d(b) = 59*b + 34. Let j = -603 + 654. Let s(l) = 7*l + 4. Let i(y) = j*s(y) - 6*d(y). Let g(w) = -140*w. Calculate g(i(x)). -420*x Let y(h) = -9 - 7 + 7759*h - 5 + 23 + 4769*h. Let s(b) = -2*b**2. Calculate s(y(m)). -313901568*m**2 - 100224*m - 8 Let q(f) = f**2. Let v(l) = 2*l + 333302. Determine
{ "pile_set_name": "DM Mathematics" }
. Solve -3*w - a = -2*w for w. -3 Let o(t) = -t**3 + 7*t**2 - 8*t - 8. Let a be o(5). Suppose a*v = -2*v + 3*z + 6, -5*z + 25 = 5*v. Solve 3 = -6*c + v*c for c. -1 Suppose 0 = -11*v + 7*v + 28. Suppose 3*s - v - 11 = 0. Solve -5*p + 1 = -s*p for p. -1 Let d be (1*(3 - 3))/(-1 - -3). Solve -s = -d*s for s. 0 Let m be (-224)/(-20) - 1/5. Let k = m - 19. Let v = k - -8. Solve -1 + v = g for g. -1 Let z = -23 - -27. Suppose p - 9 = -3*n, -21 = -z*p + 4*n - n. Solve p*y = y for y. 0 Suppose 0 = 5*m - 3*m. Let b = -96 - -100. Solve 0 = b*f - m*f for f. 0 Let k = -3 + 5. Let d be (k/1)/4*4. Suppose 0 = -5*b - 33*c + 37*c + 27, -2*b - 3*c - 3 = 0. Solve -b*w = -d*w for w. 0 Suppose 7*j + 15 = 4*j. Let s be (j/(-3))/(6/18). Suppose s*v = -5*d - 17 + 67, -5*d + 30 = v. Solve 5 = v*n - 0 for n. 1 Let i(y) = y**2 + 14*y. Let n be i(-14). Let p be (-1 + n)/((-1)/2). Suppose -z - p*z = -6. Solve 7*l - z*l = 0 for l. 0 Let g be 6/((-16)/(-8)*(-3)/(-44)). Solve 49*i - g*i = -25 for i. -5 Let u(n) = n**2 - 10*n + 33. Let o be u(9). Solve -4*z - 8 = -o for z. 4 Let j be (4*(-40)/12)/((-4)/6). Solve 14*d + j + 8 = 0 for d. -2 Suppose 0 = -5*w + 3*f + 40, f = -0*f. Suppose 0 = -c - 2*u + 1, -4*c - u + 10 + w = 0. Solve -2*y = -c*y for y. 0 Let f(q) = -q**3 - 8*q**2 - 11*q + 11. Let h be f(-6). Suppose -2*x = t + 7, -4*x - 9 = h*t - 4. Solve t*w = -w for w. 0 Suppose 13 = 5*h + 3. Suppose 6 + 1 = h*c - v, -3*c - 5*v + 43 = 0. Suppose -2*z + c*z - 12 = 0. Solve -4*s - 5 = -z*s for s. -5 Suppose -45*y + 15*y = 0. Solve 13*q - 3*q - 30 = y for q. 3 Let k(i) = -5 - 1 - 1 + 8*i + i**3 + 4*i**2 - 11*i**2. Let h be k(6). Suppose -2*g = 4*m - 20, -g = -3*g - 5*m + 25. Solve g + h = -5*p for p. -1 Suppose -6*t + 42 + 0 = 0. Suppose -11*p = -t*p. Solve -2*r + 0 + 2 = p for r. 1 Let m be (-78)/117*243/(-6). Solve -m = -2*s - 37 for s. -5 Let b(d) = -26*d + 13. Let h be b(-6). Suppose 3*u + h = 2*w - w, 5*u + 277 = -3*w. Let s be u/(-9) - (-14)/(-63). Solve 3*z = s*z for z. 0 Suppose -83*z + 101*z = 450. Solve z - 70 = -9*f for f. 5 Let w be ((6/(-2))/3)/((-3)/48). Solve w = -5*a - 3*a for a. -2 Let l be (0 + -2)/(4/(-10)). Let p(t) = -3*t**2 - 5*t + l*t**2 + 4*t - t**3. Let r be p(1). Solve r = s + 5 for s. -5 Let f = 0 - -2. Let j(n) be the first derivative of -n**2/2 - n - 11. Let m be j(-3). Solve -f*g = m*g for g. 0 Let i(u) = -u**2 - 30*u - 141. Let f be i(-6). Solve 6 = f*w + 3 for w. 1 Let p(j) = -j**3 + 6*j**2 + j + 48. Let x be p(7). Solve -x = -5*y + 9 for y. 3 Let y(p) = p + 19. Let z be y(-7). Let s = -3 - -8. Let j = z - s. Solve j*x - 3*x - 16 = 0 for x. 4 Let q be 1 + 7/(-21)*(0 - -3). Suppose 13 = 5*s - 2. Suppose s = -f, w + 5*f + 2 + 10 = 0. Solve -w*b = -q*b - 3 for b. 1 Suppose 84 = 16*j + 4. Solve -j = f - 3 for f. -2 Let m = 549 + -548. Solve -i = -4 + m for i. 3 Let d = -2230 + 2247. Solve -d*t - 29 = 39 for t. -4 Let f be (2 + 0)/(-2*7/(-21)). Suppose -f*n + 4 = -32. Solve n = 4*m - 0 for m. 3 Let x be 3/(-9) + 10/3. Suppose 0 = -x*d + m - 2, -2*d - m = 3*d - 2. Solve -p + 3*p - 10 = d for p. 5 Let f = 260 + -254. Solve 3*u + f = -9 for u. -5 Suppose 10*k = 7*k - 186. Let g = k + 66. Solve 3*s = 7*s - g for s. 1 Let z be (-2)/(-3 - 1) - (-22)/4. Solve -4*r + 2 + z = 0 for r. 2 Let a = -16 + 22. Let z = 31 + -31. Let m be (5 - 3)*1 + z. Solve 0 = -m*j + 2 - a for j. -2 Suppose -5*q + 3 = -3*l, 4*l - 1 = 5*q + 5*l. Solve q = -4*j - 6*j + 30 for j. 3 Let v be -6*(11/(-2) + 5). Solve -40 = -5*s - v*s for s. 5 Suppose -5*z - 8 = -3*u - 27, -20 = -5*u - 2*z. Solve -2 = -2*a + u for a. 2 Suppose 55*j - 1840 = 15*j. Solve 34 = -3*q + j for q. 4 Let v = -27 + 31. Let t(y) = 2*y + 3. Let n be t(-2). Let m be ((-6)/(-9))/(n/(-3)). Solve 2 + v = -m*z for z. -3 Suppose 1 = 7*o - 13. Let z(p) = p**2 - 23*p + 23. Let j be z(22). Solve -o = -r + j for r. 3 Let h = -14 + 18. Suppose -h*k = -3*r + 38, -4*r + 10*k - 5*k = -49. Solve -r*s = -10*s + 8 for s. 2 Suppose 4*j + 4*z - 10 = 7*j, 0 = -3*z + 12. Let x(d) = d**2 + 4*d + 3. Let t be x(-3). Let i = t - -1. Solve j*m + i = 5 for m. 2 Let y(f) be the first derivative of f**3/3 - 6*f**2 - 19*f + 28. Let b be y(14). Solve -4*z + b = -z for z. 3 Let g(t) = -t**2 - 9*t - 17. Let j be g(-6). Let f be ((-1 - 0) + 4)*j. Solve 3 = f*z - 6 for z. 3 Suppose -8*z + 8 = -6*z, 2*o - 10 = -z. Solve -o*s + 10 = -2 for s. 4 Let s(i) = -i**2 - 10*i + 1. Let f be s(-10). Let y = -27 + 29. Suppose -20 = -2*c - y*c. Solve c*p - f = -21 for p. -4 Let n = -23 + -57. Let m = n + 84. Solve -s + m*s = -3 for s. -1 Let b = -139 - -142. Suppose -8 = -4*n + 12, -b*i - 3*n = -78. Solve i + 4 = 5*p for p. 5 Suppose 48 = 2*h - 3*k, 0 = -27*k + 31*k. Solve -42*g + 36*g + h = 0 for g. 4 Let g(j) = -j**3 - 18*j**2 + 21*j + 35. Let l be g(-19). Let w be -4*l/(-3) - -19. Solve 5*m + w = -0*m for m. -3 Let g(d) = 4*d**3 + 0*d**2 - 3*d**2 + 4*d - 2*d. Let y be g(1). Suppose -13 = -5*z - s, y*z - 4 - 17 = -5*s. Solve -z*b - b = 0 for b. 0 Suppose -2*s + 3*s - 1 = -y, s + 5*y = -3. Suppose s*f = -0*n - 2*n, -3*n + f = 0. Solve -3*r = -n*r + 3 for r. -1 Let r(d) = 2*d - 1. Let x(j) = -4*j + 15. Let i(a) = -2*r(a) - 2*x(a). Let o be i(8). Solve -2*l + 3*l = -o for l. -4 Let y = 43 + -40. Suppose 0 = -o + 5*m - 7, y*o - 4*m + 0 - 1 = 0. Solve o*j = -2*j for j. 0 Let d be 4 - 1/(-2 - -1). Solve -s + 9 = d for s. 4 Suppose 2*u - c - 8 = 6, -3*c = 0. Suppose -3*d + 6*h = 3*h, 2*d + 4*h - 24 = 0. Suppose -d*l + u = 3. Solve 2*w - 7 = -l for w. 3 Let b be (5/(-2))/(4/(-160)*4). Solve 3*n + 10 = b for n. 5 Let q = -74 - -119. Suppose 6*y + 9*y - q = 0. Solve -7*d + y*d = 20 for d. -5 Let y(c) be the third derivative of -c**4/24 + 7*c**3/2 - 10*c**2. Let n be y(12). Solve -4*t + n*t - 15 = 0 for t. 3 Suppose 0 = 7*c - 3*c - 48. Let a = c + 9. Suppose 3*z = a + 39. Solve 3*x = -x + z for x. 5 Suppose 0 = -3*z - 11 - 1. Let o be ((-3)/z)/(((-84)/(-32))/7). Solve 0 = -x - o*x for x. 0 Let d(i) = -53*i - 263. Let y be d(-5). Solve y*z = 9*z - 14 for z. 2 Suppose f + 3*i - 6 = 0, -4*f + 41 = -2*i - 3*i. Solve 4*h - h - f = 0 for h. 3 Let z(n) = -n**2 + 19*n + 48. Let s be z(21). Solve 8 + 10 = -s*w for w. -3 Let c(j) = -j**3 + 24*j**2 - 25*j + 52. Let l be c(23). Solve 18 - l = 3*s for s. 4 Let u be 195/18 + 15/90. Solve u*p - 5 = 17 for p. 2 Let k(o) = -2*o**3 - 2*o**2 - 3. Let p be k(-2). Let m be ((-4)/(-4) - 0)*7. Suppose -12 + m = -p*i. Solve -5 - i = 3*y for y. -2 Let y be (-72)/(-32)*16/3. Suppose 24*w + y = 26*w. Solve 2*l = -4 + w for l. 1 Let k(v) = -v**3 - 6*v**2 - 6*v - 4. Let c be k(-5). Let j be c - (-1)/((-3)/3). Let n = j - -6. Solve 5*a = -9 - n for a. -3 Suppose 8 + 47 = -11*m. Let l(c) = 7*c + 44. Let y be l(m). Solve -6*p - y = -3*p for p. -3 Let j = 7 - 6. Let w = -11 + 7. Let n be (-1)/((-2)/w) - -7. Solve n*s = j - 11 for s. -2 Suppose -192 = -4*w - 0*w. Suppose -h = 4*m - w, -h - 19 = -2*m + 5. Suppose -r = r - m. Solve -3*a + r = -a for a. 3 Let g be (-302)/18 - 2/9. Let s = g + 21. Suppose -s*q = 0, 0*z - z + 4*q = -6. Solve -3*p + z = -3 for p. 3 Suppose i + 3*a + 1 = 0, a + 7 = 5*i - 4. Solve -3 = x - i*x for x. 3 Let s(k) = k**3 - 6*k**2 + 3*k + 7. Let j be s(6). Let z be (-88)/6 + (-2)/6. Let a = z + j. Solve 5*d - a = -30 for d. -4 Suppose 3*s - 4*k + 18 - 2 = 0, s + k = 4. Suppose -w + 3*q - 10 = -2*w, s = 4*q - 4. Solve -w*h = -2*h - 25 for h. 5 Suppose -27*d + 31*d - 12 = 0. Suppose -d*b - 4*b = -28. Solve 0 = g - b + 5 for g. -1 Let q(i) = i**3 - 9*i**2 + 13*i + 35. Let p be q(6). Let t be (1/2)/((-2)/(-44)). Suppose -5*s + 0*l = 4*l - 9, 0 = 5*s + 5*l - 10. Solve -t + s = -p*c for c. 2 Let s = -67 - -71. Let a(u) = u**2 - 11. Let z be a(0). Let o be (-33)/z*s/3. Solve o = -5*t + 9 for t. 1 Let s = -28 + 25. Let n be (2/s)/(8/(-60)). Suppose n*w = v + 5, -4*w - w + 25 = 3*v. Solve -i + 2 = v for i. -3 Suppose -8*v - 108 = -10*v. Let s = v + -54. Solve -w + 2*w = s for w. 0 Let o(f) = 5*f**2 - 1. Let q be o(2). Let r(i) = -i**2 - 50*i - 92. Let v be r(-48). Solve 3 - q = -v*a for a. 4 Let f be (-245)/147*(12/(-10) + 0). Solve 0*s = f*s + 4 for s. -2 Let l be (-1 - -7)*(-2)/(-3) - 1. Solve l*c = 23 - 20 for c. 1 Suppose -4*l = -2*l - 8. Let m(o) = -o + 6. Let h = 11 + -6. Let w be m(h). Solve -w + 21 = -l*n for n. -5 Let c(a) = a**3 +
{ "pile_set_name": "DM Mathematics" }
645400, 972645402, 972645404, 972645406, 972645408, 972645410? 972645412 What is next in -238, -906, -2004, -3532, -5490? -7878 What comes next: 2979824, 2979859, 2979894, 2979929, 2979964? 2979999 What is the next term in -380757, -380692, -380627, -380562? -380497 What comes next: -11323, -45242, -101803, -181006, -282851, -407338, -554467? -724238 What comes next: 1782, 4231, 6666, 9087, 11494, 13887, 16266? 18631 What comes next: 1569654, 3139305, 4708956, 6278607? 7848258 What is next in -318048, -636090, -954132, -1272174, -1590216? -1908258 What is next in 585, 2448, 5531, 9816, 15285, 21920? 29703 What is next in 4331573, 4331579, 4331589, 4331603, 4331621, 4331643? 4331669 What comes next: 48819166, 48819147, 48819128, 48819109, 48819090? 48819071 What comes next: -25601, -51138, -76673, -102206, -127737, -153266, -178793? -204318 What is the next term in 72699, 72673, 72631, 72573, 72499, 72409, 72303? 72181 What is next in 654, 1389, 2174, 3009, 3894? 4829 What is next in 120554, 241312, 362070? 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70407032 What is next in -309197, -309175, -309153? -309131 What comes next: 23223, 22180, 21137, 20094, 19051, 18008? 16965 What is the next term in -1197436, -4789880, -10777288, -19159660, -29936996? -43109296 What comes next: -1808741, -1808737, -1808745, -1808771, -1808821? -1808901 What comes next: -14617, -58564, -131847, -234466, -366421, -527712? -718339 What is the next term in 5360, 5363, 5354, 5333? 5300 What is next in 1924, 2464, 2946, 3340, 3616, 3744? 3694 What comes next: 3775, 15228, 34355, 61156? 95631 What comes next: -6381832, -6381956, -6382094, -6382252, -6382436? -6382652 What is the next term in 1025, 3114, 4821, 5954, 6321? 5730 What is next in 22792858, 22792858, 22792860, 22792864, 22792870, 22792878? 22792888 What is next in -33348, -66693, -100040, -133389, -166740? -200093 What is the next term in -2658, -2441, -2158, -1875, -1658, -1573? -1686 What comes next: 79432, 79428, 79428, 79438, 79464, 79512? 79588 What comes next: -4246569, -8493135, -12739701? 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{ "pile_set_name": "DM Mathematics" }
lse Is 5122 a multiple of 13? True Is 2 a factor of 182? True Is 120 a factor of 11040? True Is 1945 even? False Is 186 a factor of 7168? False Does 41 divide 164? True Does 32 divide 42720? True Is 2 a factor of 71? False Is 9 a factor of 17238? False Is 96 a factor of 1651? False Is 134 a factor of 2647? False Is 101 a factor of 20503? True Is 5536 a multiple of 173? True Is 11 a factor of 605? True Is 2684 a multiple of 244? True Is 225 a multiple of 45? True Is 7380 a multiple of 20? True Is 71010 a multiple of 9? True Is 108 a factor of 86292? True Does 114 divide 59688? False Is 3543 a multiple of 28? False Does 9 divide 648? True Is 1212 a multiple of 12? True Is 24 a factor of 10536? True Is 1089 a multiple of 33? True Is 21 a factor of 189? True Does 32 divide 6976? True Is 7027 a multiple of 122? False Is 43 a factor of 463? False Does 15 divide 389? False Does 23 divide 1990? False Does 17 divide 136? True Does 50 divide 999? False Does 9 divide 17295? False Is 195 a multiple of 15? True Does 146 divide 25021? False Is 42 a factor of 2562? True Does 375 divide 18750? True Does 33 divide 1069? False Is 67716 a multiple of 108? True Is 7 a factor of 970? False Does 62 divide 12152? True Is 3876 a multiple of 3? True Is 450 a multiple of 9? True Does 12 divide 6288? True Is 16058 a multiple of 14? True Is 30 a factor of 31440? True Does 7 divide 868? True Is 65 a factor of 133911? False Is 880 a multiple of 16? True Is 8 a factor of 547? False Does 89 divide 562? False Is 923 a multiple of 51? False Is 4 a factor of 151? False Is 12468 a multiple of 131? False Does 51 divide 13770? True Is 186 a multiple of 5? False Does 8 divide 1784? True Is 36 a factor of 3360? False Is 465 a multiple of 31? True Is 13297 a multiple of 7? False Is 140 a factor of 2940? True Does 5 divide 985? True Is 960 a multiple of 24? True Does 4 divide 132? True Does 246 divide 1875? False Is 203 a factor of 27608? True Does 34 divide 374? True Is 157 a factor of 38465? True Is 207 a multiple of 9? True Is 97431 a multiple of 8? False Is 68 a factor of 1000? False Does 9 divide 11396? False Is 78338 a multiple of 23? True Does 6 divide 366? True Is 365 a multiple of 16? False Is 34 a factor of 850? True Is 9 a factor of 517? False Does 64 divide 2497? False Is 6111 a multiple of 25? False Does 19 divide 80? False Does 65 divide 4745? True Does 5 divide 1414? False Does 11 divide 2095? False Does 8 divide 1440? True Is 4239 a multiple of 21? False Is 19 a factor of 30229? True Does 16 divide 26272? True Does 55 divide 2640? True Is 36 a factor of 1296? True Is 4962 a multiple of 6? True Is 7866 a multiple of 24? False Does 20 divide 9420? True Is 84 a factor of 5320? False Is 8 a factor of 264? True Is 564 a multiple of 7? False Is 42 a factor of 11743? False Is 11 a factor of 6402? True Is 64 a factor of 768? True Is 111 a multiple of 4? False Is 7 a factor of 3582? False Is 1070 a multiple of 31? False Is 55 a factor of 40150? True Does 21 divide 19383? True Is 26 a factor of 24830? True Is 113 a factor of 288? False Is 5979 a multiple of 95? False Is 10693 a multiple of 9? False Is 5 a factor of 14085? True Is 9 a factor of 1179? True Is 134 a factor of 3398? False Is 48 a factor of 34176? True Does 21 divide 34843? False Does 107 divide 856? True Is 8 a factor of 560? True Is 2894 even? True Is 52 a factor of 5512? True Is 2 a factor of 131? False Is 46 a factor of 8460? False Does 5 divide 349? False Is 2 a factor of 102? True Does 8 divide 744? True Is 732 a multiple of 3? True Is 34155 a multiple of 13? False Is 4 a factor of 820? True Does 8 divide 25352? True Does 32 divide 16128? True Does 19 divide 669? False Is 9 a factor of 2349? True Does 89 divide 5607? True Does 29 divide 2268? False Is 6 a factor of 16271? False Is 228 a factor of 24624? True Is 33 a factor of 176? False Is 6891 a multiple of 16? False Is 288 a multiple of 18? True Is 4528 a multiple of 16? True Is 114066 a multiple of 109? False Is 8820 a multiple of 7? True Is 10 a factor of 4583? False Does 43 divide 1591? True Is 10 a factor of 1630? True Is 34 a factor of 68? True Does 62 divide 2108? True Is 22 a factor of 5434? True Is 174 a factor of 100920? True Is 61292 a multiple of 8? False Is 35 a factor of 17990? True Is 27339 a multiple of 39? True Is 84 a multiple of 7? True Is 20165 a multiple of 109? True Does 137 divide 2965? False Does 61 divide 2461? False Does 7 divide 1228? False Is 544 even? True Is 54 a factor of 4752? True Is 60 a factor of 6540? True Does 9 divide 9? True Does 26 divide 138268? True Is 1320 a multiple of 40? True Does 46 divide 7452? True Does 47 divide 2115? True Is 116 a factor of 1740? True Does 25 divide 275? True Is 69 a factor of 82110? True Is 6 a factor of 255? False Does 51 divide 1965? False Is 48 a factor of 336? True Is 39 a factor of 131329? False Is 91 a factor of 10556? True Is 10540 a multiple of 155? True Is 27 a factor of 25434? True Is 71 a factor of 25347? True Is 3230 a multiple of 17? True Is 67 a factor of 201? True Is 10 a factor of 4030? True Does 7 divide 4046? True Is 960 a multiple of 30? True Is 1552 a multiple of 97? True Is 25203 a multiple of 273? False Is 15621 a multiple of 25? False Does 221 divide 24937? False Is 12336 a multiple of 16? True Is 537 a multiple of 22? False Is 30 a factor of 1102? False Does 8 divide 309? False Is 516 a multiple of 12? True Is 49 a factor of 147? True Does 58 divide 6670? True Is 62 a factor of 3735? False Is 293 a multiple of 17? False Does 17 divide 1462? True Is 38 a factor of 1239? False Is 276 a multiple of 31? False Is 10 a factor of 539? False Is 1288 a multiple of 14? True Does 63 divide 1953? True Is 1496 a multiple of 17? True Does 15 divide 3390? True Does 10 divide 314? False Does 118 divide 26196? True Is 7 a factor of 892? False Is 3159 a multiple of 39? True Does 39 divide 828? False Is 568 a multiple of 5? False Does 41 divide 1476? True Is 44 a factor of 528? True Does 117 divide 819? True Is 1008 a multiple of 21? True Is 80 a factor of 880? True Is 34 a factor of 12655? False Is 174 a factor of 5916? True Is 269 a multiple of 14? False Is 871 a multiple of 4? False Is 4 a factor of 1444? True Is 80 a factor of 6640? True Does 196 divide 58535? False Is 11 a factor of 17827? False Is 96 a factor of 6491? False Does 9 divide 13102? False Does 44 divide 17847? False Is 39468 a multiple of 132? True Is 6191 a multiple of 43? False Is 24051 a multiple of 62? False Is 26358 a multiple of 12? False Is 21 a factor of 315? True Is 3780 a multiple of 90? True Is 82 a factor of 3122? False Is 12 a factor of 2302? False Does 18 divide 396? True Is 6 a factor of 60? True Is 12 a factor of 22224? True Does 58 divide 434? False Does 14 divide 5746? False Does 13 divide 38? False Is 12 a factor of 168? True Does 17 divide 24916? False Is 39 a factor of 273? True Does 12 divide 864? True Is 14 a factor of 1319? False Is 3580 a multiple of 26? False Does 25 divide 1908? False Is 34 a factor of 18652? False Is 12267 a multiple of 71? False Is 2563 a multiple of 11? True Does 21 divide 65? False Does 20 divide 492? False Is 418 a multiple of 6? False Is 40756 a multiple of 14? False Is 22 a factor of 25459? False Is 179 a factor of 36337? True Is 280 a multiple of 6? False Is 114 a factor of 570? True Is 432 even? True Does 69 divide 897? True Does 27 divide 81? True Does 104 divide 270? False Does 7 divide 25291? True Is 29140 a multiple of 62? True Is 411 a multiple of 137? True Is 18 a factor of 630? True Is 17 a factor of 10125? False Is 616 a multiple of 28? True Is 5 a factor of 5804? False Is 3 a factor of 627? True Does 28 divide 551? False Is 686 a multiple of 27? False Is 40 a factor of 3710? False Is 214 a multiple of 38? False Does 36 divide 936? True Is 8560 a multiple of 20? True Does 24 divide 590? False Is 856 a multiple of 74? False Does 13 divide 559? True Is 22 a factor of 351? False Is 15 a factor of 27815? False Is 2382 a multiple of 69? False Is 2052 a multiple of 27? True Is 10 a factor of 1200? True Does 35 divide 140? True Does 32 divide 1312? True Is 49560 a multiple of 105? True Does 13 divide 78? True Is 19 a factor of 551? True Is 180 a multiple of 20?
{ "pile_set_name": "DM Mathematics" }
.3. Let g = f - 0.14. Let r = g + -3.94. Which is the closest to 2/7? (a) r (b) 3/7 (c) -1 b Let p = -0.02 + 0.52. Let u = -10 + 35. Suppose -5*o = 15, -i + 5*o + u = 4*i. What is the closest to i in 1, p, -1/4? 1 Let y = -33.6 - -34. What is the nearest to y in -0.2, 5, -1? -0.2 Let h = 134 - 134. Which is the closest to 2/9? (a) -3 (b) h (c) -0.2 b Let x = 14 - 9. Let u = x + -5.5. Let i = 2.5 - 0.5. What is the closest to -0.1 in u, i, 2/11? 2/11 Let j = -17 + 18. Let r = -17.4 - -19. Let d = -0.4 - r. Which is the nearest to j? (a) 2/3 (b) d (c) 0.3 a Let d = 5 + -5.06. Let y = 0.94 - d. Suppose -4*p - 5*t + 14 = 0, 5*p + 1 = -3*t + 12. What is the nearest to p in 0.4, 2, y? y Suppose 8 = -4*t, 4*l - 5*t - 5 = 17. Suppose -5*r = u - 5, -2*r = -5*r - 5*u + l. Let z = 0.07 - 0.57. Which is the closest to r? (a) z (b) -2/13 (c) -0.4 b Let q = -0.2 + 0.5. Let y = -0.4 + q. Let v be (12 + -2)/(2 - -1 - 1). Which is the nearest to y? (a) 0.5 (b) -1/3 (c) v b Let n = 29 + -28.6. What is the nearest to 1/3 in n, -4, -0.2? n Let j = -0.2 - -3.2. Let o(q) = -q**2 + 6*q + 7. Let g be o(7). Which is the closest to g? (a) -2 (b) j (c) -3/4 c Let t = 0 + 3. Suppose 5*x - 2 = -w + 1, 4*w + t*x = 12. What is the nearest to w in -1, 0.4, 4? 4 Let m = -141 + 139.07. Let g = m + -0.07. What is the nearest to 1 in 1, 1/7, g? 1 Let j = -0.2 - 2.8. Let m = 66.5 + -67. What is the closest to 2/11 in j, m, 2/9? 2/9 Let x = -43/8 - -5. Let d be 3/(-6)*(-1)/(-2). Which is the closest to 0? (a) x (b) d (c) 0 c Suppose 9 = 3*f - 5*r, 0 = f - 2*r - r - 7. Suppose -s - 5*i = s + 15, 3*s - i = 3. Let g = 0.1 - 0.1. What is the closest to g in f, 1, s? s Let m = 30 - 31. What is the closest to 0 in -19, m, -0.2? -0.2 Let i = 622/9 - 69. Which is the closest to -1/3? (a) i (b) -1/3 (c) 6 b Let g = -25 + 26. Which is the closest to -1? (a) 5 (b) 0 (c) g b Let p = 0.1 + -0.21. Let l = p - 0.19. Let z = -0.2 - l. Which is the closest to 0? (a) -1 (b) z (c) 0.4 b Let k = 0.3 + -0.4. Let y = -0.37 - 0.03. What is the nearest to -0.1 in k, -1/4, y? k Let i be (-196)/54*60/10. Let a = i - -22. What is the closest to -0.1 in 1, a, 3? a Let j be 4/15*(-10)/(-12). Let m = -16 + 17. Which is the closest to -5? (a) 2 (b) j (c) m b Let c = 149/4 + -37. What is the closest to c in 0, 3/5, 0.1? 0.1 Let q = -3 - -2.5. Let z = 11 + -10. What is the closest to 1 in q, z, 4? z Let l = -13/30 - -1/10. Let d = -0.8 - -1.8. Which is the nearest to l? (a) d (b) 5 (c) 2/7 c Let g = -1.2 - -0.2. Let t = 2 - 4. Let o be ((-6)/14)/(3/2). What is the nearest to o in 2/7, t, g? 2/7 Suppose 19 = 2*h + 5*n, 4*h - 2*n + 4 = 2*n. Let q = 835/4 - 208. What is the closest to q in -1, 0, h? 0 Let w = -2 + 2.1. Let l = 0.08 - -0.42. What is the closest to w in l, 0.3, 0.4? 0.3 Suppose -2*o = 5*f - 78, -15 = -5*o + 5. Let z be ((-8)/(-50))/(f/35). Which is the closest to 0.2? (a) 2 (b) z (c) 1/11 c Let b = 43 + -38. What is the nearest to 1 in -0.3, 1, b? 1 Let q = 7 + -5. Let r = 15 - -13.2. Let h = -28 + r. What is the nearest to h in q, -2, 0.5? 0.5 Let t be (14/21)/(7/(-3)). Let o be 2/5 + 3528/(-165). Let q = o + 104/5. Which is the closest to 1/3? (a) -5 (b) q (c) t b Let k = -6729/5 - -27911/20. Let r = k + -797/12. Let n = r - -17. Which is the nearest to 1? (a) 0.4 (b) n (c) 5 a Let h be 6/28*112/(-42). Suppose -5*o + 0*o - 155 = 0. Let x = o - -123/4. Which is the closest to x? (a) 1/2 (b) h (c) -4 b Let d be 2/9 - 16/(-9). Let g be -10*(-1)/(-4)*-2. Suppose 3*m + k + d*k = -9, -3*m + g*k = 1. Which is the nearest to -1? (a) -3 (b) m (c) 3 b Let c be -2*((-52)/(-16) - 3). What is the closest to 0.1 in c, 26, -1/3? -1/3 Let r = -32.7 - -32.3. Let u = -22/3 + 8. What is the nearest to -1 in u, r, -1/4? r Let w = 2.79 - -0.21. Which is the nearest to 10? (a) 5 (b) w (c) -0.3 a Let v(w) = -2*w - 34. Let q be v(-17). What is the closest to q in -4, 3/2, 0.4? 0.4 Let o = -2/115 - -5/23. Which is the nearest to -1? (a) 0.4 (b) -0.1 (c) o b Suppose 2*f - 19 = 3*u, -2*f + 5*f - 12 = -u. Let d be 18/(-15) + u/(-5). What is the closest to 2 in d, -3, -2/3? d Let o = -0.002 + 0.302. What is the closest to -1/2 in 2, o, 19? o Let d = -3/47 - 73/329. Let o be -4*(3 - 0)/3. Let z(u) = 2*u + 7. Let x be z(o). Which is the nearest to 1? (a) -0.3 (b) d (c) x b Let o be ((2 - 2)/(-4))/(1/(-1)). Let h = 0 - 2. Let g = h - -2. Which is the nearest to o? (a) g (b) -0.5 (c) -3 a Suppose -2*k = -0*k + 126. Let d be 9/k*(-2 - -1). Let h = 0.8 + -4.8. Which is the nearest to 0? (a) d (b) -2/9 (c) h a Suppose 9 = m - 0*m + 2*q, -19 = -m - 4*q. Which is the closest to m? (a) 0.5 (b) -7 (c) -2/11 c Let o = -0.2 + -16.8. Let z = 15.95 + o. Let u = 0.05 + z. What is the nearest to u in 5, 0.3, -2? -2 Let o = 0.03 - 0.33. Let z = 1.3 + o. What is the nearest to -1 in 4, z, -0.3? -0.3 Let z = 32.87 - 33. Let x = -0.23 - z. Let y = -4 - 0. What is the nearest to x in y, -2/9, -2? -2/9 Let t = 63/4 + -205/12. Suppose -4*y + 4*v + 11 = -7*y, 0 = -y - 4*v - 17. Suppose 0 = -y*a - 0*a - 15. What is the closest to 1 in t, 3, a? 3 Let p = 0 - -0.4. Let s = 0.6 + 1.4. Let f = -0.5 - -0.5. What is the nearest to f in s, p, 0? 0 Suppose 0 = 3*o - g - 2, 0 = -5*o - 0*o + 5*g. Let z = -1.2 - -1.1. Let d = -2.1 - -2. Which is the nearest to d? (a) o (b) z (c) -1 b Let t = 7.5 - 2. Let o = -0.5 + t. Suppose -4*m = 8 - 20. What is the nearest to 0 in m, o, -1/2? -1/2 Let j = -229.67 + 231. Let f = 1.4 - j. Let l = -0.27 + f. What is the nearest to 0 in 3, l, 1/6? 1/6 Let p = -2 + -1. Let g = 5 + p. Suppose 3*v = 4*c + 4, 10 = v + g*v - c. What is the closest to -2/11 in 0, -2, v? 0 Suppose -3*p + o + 7 + 13 = 0, -2*p - o + 5 = 0. What is the closest to 0.1 in -2/7, p, -2? -2/7 Let j = 1.8 + -2. Let q = j - -0.3. What is the nearest to q in 1/4, 4, 3? 1/4 Let t(x) = 8*x + 52. Let w be t(-6). Let p(r) = r. Let z(y) = 2*y + 3. Let u be z(-2). Let i be p(u). Which is the nearest to i? (a) -4 (b) 5 (c) w a Let g = -1.37 + -0.03. Let t = -0.6 + g. Let o be 9/(-6) - (-1 + 1). Which is the nearest to -0.1? (a) o (b) 1 (c) t b Let j = 20 - 18. What is the closest to -1 in j, -3, -0.1? -0.1 Let t = 39 - 35. Which is the nearest to -1/4? (a) t (b) 5 (c) -2/7 c Suppose 2*j - 3*h + 2*h + 8 = 0, -3*h - 6 = 0. Let f = 2.6 + -2.2. What is the closest to -1 in j, -0.2, f? -0.2 Let a = 6/11 - -4/33. Let o = 179/255 + -3/85. What is the closest to o in a, -1/2, -0.3? a Let z = -10.73 + -0.27. Let s = z + 9. Which is the closest to -2? (a) -3 (b) -1/11 (c) s c Let r = -14 - -10. Let n = -6.8 - -6.4. Which is the nearest to n? (a) 3/4 (b) r (c) 2 a Let x = -746/15 - -248/5. Let k(j) = -j - 6. Let f be k(-6). Let z be 18/(-96)*(1 - 5). Which is the closest to f? (a) -2/13 (b) z (c) x c Let r = -6 + 8. Let p = r + -7. What is the closest to -1 in -0.2, p, -2? -0.2 Let p be (-24)/(-42) - ((-90)/(-133))/1. What is the nearest to 4 in p, 1, 1/2? 1 Let c = 6 - 1. Suppose 0 = -5*r + 12 - 2. What is the nearest to 1/2 in r, c, -2? r Suppose 5*w + 0*s = -3*s + 8, 0 = -2*w + 2*s. Let c = 237 - 3083/13. What is the nearest to 0 in c, w, 4? c Let h(d) = -d**2 - 4 - 8*d + 2*d**2 - 5 + 8. Let g be h(8). Let q = 2 + -7. What is the closest to g in -3, 5, q? -3 Let w = 25 - 24.8. Which is the closest to 1? (a) -5 (b) w (c) -4 b Let t = 0.1 + -1.1. Which is the closest to t? (a) 5 (b) 3/7 (c) 0 c Let w = 7 - 12. What is the closest to -0.1 in 5, w, -1/2? -1/2 Let u = 8 + -5. Let r = 45 + -25. Suppose 2*m + r = 5*i - 0*m, -3*m = -2*i + 19. Which is the closest to 0? (a) u (b) i (c) -4 b Let p = -23 + 26.4. Let f = 0.6 + p. What is the nearest to 0.1 in 1/5, -0.1, f? 1/5 Let w = -2 - -3. Which is the closest to w? (a) 0.2 (b) -0.1 (c) -2/3 a Suppose -2*n = -8*n - 36. Which is the closest to n? (a) -3 (b) 1 (c) 2/7 a Let k = -64 - -319/5. Suppose 2*g + 4 = -4*c, 4*g + 14 + 0 = -2*c. What is the nearest to c in 3/4, k, 0.2? 3/4 Let g = -25 - -29. What is the nearest to -2/5 in 2, g, -0.12? -0.12 Let k = 1439008/297 - 4845. Let y = -1/27 - k. Which is the closest to y? (a) -3 (b) 0.4 (c) -2 b Let w be (-6)/(-10) + 21/(-35). Which is the closest to w? (a) 4 (b) 0.2 (c) -7 b L
{ "pile_set_name": "DM Mathematics" }
1047552 and 1/296670? 151895040 Calculate the least common multiple of 1695750 and 303900. 3435589500 Calculate the lowest common multiple of 568782 and 1263960. 11375640 Calculate the smallest common multiple of 23400 and 1386450. 5545800 What is the smallest common multiple of 10276 and 4728? 12146232 What is the common denominator of 163/5382 and 77/15858? 4741542 Calculate the smallest common multiple of 84711 and 16308. 3049596 What is the lowest common multiple of 144500 and 510? 433500 What is the common denominator of 43/217820 and -21/958408? 4792040 Find the common denominator of 17/51660 and -17/8960. 3306240 What is the common denominator of 19/276 and -79/2013432? 46308936 Find the common denominator of 57/85544 and -57/1190. 2994040 Calculate the common denominator of -57/4831460 and 121/740. 4831460 What is the common denominator of -32/788919 and -16/381735? 11833785 Find the common denominator of -85/6973218 and -37/37190496. 111571488 What is the lowest common multiple of 315 and 42138504? 1474847640 Find the common denominator of -49/84236136 and -109/4008. 84236136 Find the common denominator of -193/288420 and -41/7549080. 173628840 Calculate the common denominator of 20/689593 and 9/18790. 6895930 Find the common denominator of 58/5 and -33/9782665. 9782665 Calculate the common denominator of -37/6282 and -13/33187806. 33187806 Calculate the lowest common multiple of 172792930 and 23277. 518378790 Calculate the common denominator of 10/159657 and 43/2166. 6066966 What is the least common multiple of 1771924 and 1196624? 92140048 What is the smallest common multiple of 400988939 and 5? 2004944695 Calculate the lowest common multiple of 3839824 and 13439384. 26878768 What is the common denominator of -31/164640 and 73/82712? 34739040 Calculate the least common multiple of 47265 and 176640. 24199680 What is the common denominator of 19/16 and 51/2010092? 8040368 Find the common denominator of -31/208132 and -23/420. 21853860 Find the common denominator of -169/72810144 and -37/432. 72810144 Calculate the common denominator of -52/14271 and -97/315. 1498455 What is the common denominator of 88/181905 and 11/3439? 3456195 Calculate the common denominator of 88/109425 and -107/43638690. 218193450 Find the common denominator of -127/30390 and 43/2385615. 4771230 Calculate the lowest common multiple of 1176 and 67729872. 474109104 Calculate the common denominator of -51/8968 and -41/169214950. 676859800 What is the least common multiple of 26176394 and 4? 52352788 What is the lowest common multiple of 392 and 21682423? 1214215688 Find the common denominator of -139/44644284 and -151/111610710. 223221420 What is the smallest common multiple of 48620 and 21190? 7925060 What is the least common multiple of 1804596 and 140? 63160860 Calculate the common denominator of -25/63753696 and -125/6048. 446275872 Calculate the common denominator of 35/5253 and -33/43958855. 131876565 What is the smallest common multiple of 102279 and 1975746? 653971926 Calculate the lowest common multiple of 4502 and 8996. 20249996 Calculate the common denominator of 109/7340 and 87/98778050. 197556100 Calculate the smallest common multiple of 435453 and 567. 82300617 What is the least common multiple of 1287 and 4862520? 53487720 What is the lowest common multiple of 4145400 and 217140? 45599400 Calculate the common denominator of 37/2646 and -151/427476. 3847284 Calculate the common denominator of -79/31235058 and 169/81972. 687171276 What is the common denominator of -65/8308114 and 91/841328? 66464912 Calculate the common denominator of 37/34200 and 89/162450. 649800 Calculate the common denominator of 131/14520 and -85/12289728. 61448640 What is the common denominator of -43/3744 and -17/1389752? 50031072 Calculate the common denominator of 11/90465 and 113/7480. 135335640 What is the smallest common multiple of 207 and 120999? 8348931 What is the common denominator of 61/17571550 and -79/28984? 70286200 What is the smallest common multiple of 535716 and 1071432? 1071432 Calculate the common denominator of 127/14419836 and 125/21948. 14419836 Calculate the common denominator of -37/38366 and 131/12060. 231346980 What is the smallest common multiple of 7289160 and 546687? 21867480 Find the common denominator of 71/109554 and 81/5660290. 16980870 Calculate the smallest common multiple of 30828 and 251099198. 1506595188 What is the common denominator of -47/110 and -71/851190? 9363090 Calculate the lowest common multiple of 49807437 and 8. 398459496 Calculate the lowest common multiple of 2 and 68082382. 68082382 Find the common denominator of 99/1204 and 149/4139352. 4139352 What is the common denominator of -106/175035 and -179/1680? 2800560 Calculate the lowest common multiple of 627328 and 50286. 543893376 What is the smallest common multiple of 28601286 and 3948? 57202572 What is the common denominator of 151/1318716 and -43/3223528? 29011752 What is the smallest common multiple of 2759568 and 459928? 2759568 Calculate the common denominator of -49/8113193 and -11/1475126. 16226386 What is the lowest common multiple of 58044658 and 26? 754580554 Calculate the common denominator of -52/483 and -191/165663204. 165663204 What is the lowest common multiple of 1536 and 520? 99840 Calculate the lowest common multiple of 279054588 and 464. 1116218352 What is the smallest common multiple of 209 and 795299283? 8748292113 What is the lowest common multiple of 1431978 and 1863? 889258338 What is the smallest common multiple of 1913955 and 44020965? 44020965 Calculate the lowest common multiple of 5 and 13047489. 65237445 What is the common denominator of 23/19662342 and 50/7? 19662342 Find the common denominator of 8/4038135 and -20/63. 84800835 What is the smallest common multiple of 8776 and 579216? 579216 Calculate the least common multiple of 230 and 7626018. 38130090 Calculate the least common multiple of 111939408 and 1974240. 1119394080 Calculate the smallest common multiple of 122187 and 723. 122187 Calculate the smallest common multiple of 1008 and 589040. 37109520 What is the smallest common multiple of 13515 and 641410? 101984190 What is the least common multiple of 1579005 and 180? 6316020 What is the common denominator of -51/40 and 89/5527590? 22110360 What is the least common multiple of 15198 and 1889886? 4787081238 Calculate the least common multiple of 4048 and 4439920. 48839120 Calculate the least common multiple of 20472078 and 13027686. 143304546 What is the smallest common multiple of 596 and 1750452? 1750452 Calculate the least common multiple of 8 and 140896683. 1127173464 Calculate the least common multiple of 2 and 1170713. 2341426 Calculate the common denominator of -43/46 and 143/3825906. 87995838 What is the common denominator of -23/6228858 and -39/113157587? 678945522 Calculate the common denominator of 199/198360 and -74/2895. 38283480 Calculate the lowest common multiple of 3735 and 303885. 25222455 What is the smallest common multiple of 3663 and 32085? 13058595 Calculate the common denominator of 29/47305720 and -81/65045365. 520362920 Calculate the common denominator of 119/121879248 and -45/55861322. 1340671728 What is the least common multiple of 37468 and 134444? 2285548 Calculate the smallest common multiple of 127161090 and 114444981. 1144449810 Calculate the smallest common multiple of 903 and 44259255. 309814785 What is the lowest common multiple of 48930 and 5700? 9296700 What is the common denominator of 55/20056446 and -55/6685482? 20056446 What is the common denominator of -27/410780 and 37/330030? 713524860 Find the common denominator of -89/5580 and 47/816660. 25316460 Calculate the common denominator of 59/336 and 71/961552. 20192592 Find the common denominator of 137/3780 and -61/330435. 3965220 Calculate the common denominator of 52/13495 and 79/4260. 11497740 Find the common denominator of 117/99482530 and 109/31220. 198965060 What is the lowest common multiple of 654 and 5610? 611490 Find the common denominator of 43/1760640 and -107/528192. 5281920 What is the smallest common multiple of 79278 and 160881488? 482644464 What is the common denominator of 74/345345 and 52/28875? 8633625 What is the common d
{ "pile_set_name": "DM Mathematics" }
y 58? 49 What is the remainder when 919054 is divided by 83? 78 What is the remainder when 36843 is divided by 113? 5 What is the remainder when 2315 is divided by 306? 173 Calculate the remainder when 17204 is divided by 5262. 1418 Calculate the remainder when 343784 is divided by 15626. 12 Calculate the remainder when 3161 is divided by 117. 2 What is the remainder when 202472 is divided by 89? 86 Calculate the remainder when 686 is divided by 80. 46 Calculate the remainder when 13932 is divided by 377. 360 Calculate the remainder when 146865 is divided by 216. 201 Calculate the remainder when 3923 is divided by 317. 119 Calculate the remainder when 10132 is divided by 5060. 12 What is the remainder when 6511 is divided by 361? 13 Calculate the remainder when 2042 is divided by 140. 82 What is the remainder when 17123 is divided by 505? 458 Calculate the remainder when 16023 is divided by 118. 93 What is the remainder when 67919 is divided by 255? 89 What is the remainder when 388463 is divided by 64743? 5 Calculate the remainder when 416868 is divided by 7. 4 What is the remainder when 11489 is divided by 820? 9 Calculate the remainder when 14063 is divided by 3513. 11 Calculate the remainder when 1389 is divided by 693. 3 What is the remainder when 2867 is divided by 205? 202 Calculate the remainder when 2932 is divided by 2408. 524 What is the remainder when 8224 is divided by 900? 124 Calculate the remainder when 39090 is divided by 3472. 898 Calculate the remainder when 342835 is divided by 257. 254 Calculate the remainder when 37238 is divided by 2482. 8 Calculate the remainder when 255006 is divided by 759. 741 Calculate the remainder when 2662 is divided by 665. 2 What is the remainder when 771 is divided by 753? 18 What is the remainder when 70778 is divided by 363? 356 Calculate the remainder when 177603 is divided by 18. 15 Calculate the remainder when 223937 is divided by 58. 57 What is the remainder when 30170 is divided by 263? 188 What is the remainder when 18556 is divided by 2036? 232 What is the remainder when 43222 is divided by 181? 144 Calculate the remainder when 3092 is divided by 308. 12 Calculate the remainder when 6041 is divided by 263. 255 What is the remainder when 117768 is divided by 866? 858 What is the remainder when 7639 is divided by 124? 75 What is the remainder when 58208 is divided by 291? 8 What is the remainder when 115020 is divided by 3286? 10 Calculate the remainder when 1129 is divided by 450. 229 What is the remainder when 1868 is divided by 20? 8 What is the remainder when 3476 is divided by 84? 32 Calculate the remainder when 177 is divided by 20. 17 Calculate the remainder when 49343 is divided by 2069. 1756 What is the remainder when 9368 is divided by 303? 278 Calculate the remainder when 1964 is divided by 86. 72 Calculate the remainder when 8838 is divided by 1669. 493 Calculate the remainder when 146121 is divided by 4566. 9 What is the remainder when 2065 is divided by 19? 13 Calculate the remainder when 56422 is divided by 941. 903 Calculate the remainder when 9862 is divided by 70. 62 Calculate the remainder when 19280 is divided by 19125. 155 What is the remainder when 28440 is divided by 374? 16 What is the remainder when 10295 is divided by 210? 5 What is the remainder when 15928 is divided by 63? 52 Calculate the remainder when 8688 is divided by 6786. 1902 What is the remainder when 5619 is divided by 374? 9 What is the remainder when 4097 is divided by 766? 267 Calculate the remainder when 43913 is divided by 58. 7 What is the remainder when 3337 is divided by 1287? 763 Calculate the remainder when 12567 is divided by 1256. 7 What is the remainder when 22832 is divided by 787? 9 What is the remainder when 22278 is divided by 13? 9 Calculate the remainder when 20627 is divided by 20619. 8 What is the remainder when 32782 is divided by 76? 26 What is the remainder when 1621 is divided by 807? 7 Calculate the remainder when 187338 is divided by 402. 6 What is the remainder when 90364 is divided by 18069? 19 Calculate the remainder when 8594 is divided by 573. 572 Calculate the remainder when 62289 is divided by 31050. 189 Calculate the remainder when 15644 is divided by 867. 38 Calculate the remainder when 2147 is divided by 270. 257 What is the remainder when 208752 is divided by 294? 12 Calculate the remainder when 20333 is divided by 6775. 8 Calculate the remainder when 55216 is divided by 11041. 11 Calculate the remainder when 230453 is divided by 63. 62 What is the remainder when 30975 is divided by 6? 3 Calculate the remainder when 4124 is divided by 27. 20 What is the remainder when 760 is divided by 254? 252 What is the remainder when 27930 is divided by 107? 3 What is the remainder when 438460 is divided by 136? 132 What is the remainder when 1808 is divided by 345? 83 Calculate the remainder when 4643 is divided by 1161. 1160 What is the remainder when 1032044 is divided by 432? 428 What is the remainder when 8458 is divided by 161? 86 Calculate the remainder when 1686 is divided by 472. 270 Calculate the remainder when 3386 is divided by 308. 306 Calculate the remainder when 78495 is divided by 18. 15 What is the remainder when 42189 is divided by 19? 9 Calculate the remainder when 6392 is divided by 887. 183 Calculate the remainder when 158650 is divided by 234. 232 Calculate the remainder when 498632 is divided by 466. 12 Calculate the remainder when 4024 is divided by 630. 244 Calculate the remainder when 1462104 is divided by 191. 190 Calculate the remainder when 15177 is divided by 4498. 1683 Calculate the remainder when 1779 is divided by 37. 3 What is the remainder when 218 is divided by 4? 2 What is the remainder when 343173 is divided by 17158? 13 What is the remainder when 35436 is divided by 5869? 222 Calculate the remainder when 7858 is divided by 803. 631 Calculate the remainder when 23563 is divided by 1953. 127 Calculate the remainder when 195293 is divided by 24. 5 Calculate the remainder when 90207 is divided by 7. 5 Calculate the remainder when 10919 is divided by 266. 13 What is the remainder when 4936 is divided by 246? 16 What is the remainder when 3410 is divided by 150? 110 Calculate the remainder when 3737 is divided by 51. 14 Calculate the remainder when 43088 is divided by 1199. 1123 Calculate the remainder when 159871 is divided by 329. 306 Calculate the remainder when 12365 is divided by 10. 5 Calculate the remainder when 4904 is divided by 683. 123 Calculate the remainder when 16694 is divided by 4172. 6 What is the remainder when 5076 is divided by 424? 412 Calculate the remainder when 28445 is divided by 327. 323 What is the remainder when 37343 is divided by 184? 175 What is the remainder when 84210 is divided by 37? 35 What is the remainder when 938 is divided by 216? 74 Calculate the remainder when 4549 is divided by 500. 49 What is the remainder when 17718 is divided by 5905? 3 What is the remainder when 19037 is divided by 4755? 17 Calculate the remainder when 32693 is divided by 5437. 71 Calculate the remainder when 2788 is divided by 683. 56 What is the remainder when 6164 is divided by 89? 23 Calculate the remainder when 27627 is divided by 32. 11 What is the remainder when 442407 is divided by 68? 67 Calculate the remainder when 54775 is divided by 397. 386 What is the remainder when 9960 is divided by 378? 132 What is the remainder when 165505 is divided by 279? 58 What is the remainder when 13006 is divided by 867? 1 What is the remainder when 47125 is divided by 15? 10 What is the remainder when 242969 is divided by 159? 17 What is the remainder when 15263 is divided by 20? 3 Calculate the remainder when 413 is divided by 16. 13 Calculate the remainder when 102527 is divided by 255. 17 What is the remainder when 1794 is divided by 764? 266 What is the remainder when 1858 is divided by 386? 314 What is the remainder when 3725002 is divided by 516? 514 What is the remainder when 552462 is divided by 184151? 9 What is the remainder when 19147 is divided by 638? 7 Calculate the remainder when 1094179 is divided by 107. 104 Calculate the remainder when 64511 is divided by 56. 55 Calculate the remainder when 321358 is divided by 10
{ "pile_set_name": "DM Mathematics" }
the common denominator of 111/14 and 71/348? 2436 What is the common denominator of 29/15 and 73/492? 2460 Calculate the smallest common multiple of 630 and 126. 630 Calculate the lowest common multiple of 3 and 42. 42 Calculate the least common multiple of 4383 and 2. 8766 Calculate the least common multiple of 27 and 395. 10665 What is the common denominator of 97/20 and -95/446? 4460 What is the lowest common multiple of 2088 and 12? 2088 Find the common denominator of -21/278 and -97/16. 2224 What is the smallest common multiple of 16 and 36? 144 Calculate the smallest common multiple of 1140 and 2280. 2280 Calculate the common denominator of 101/208 and -9/80. 1040 Calculate the least common multiple of 231 and 56. 1848 What is the smallest common multiple of 78 and 22? 858 What is the common denominator of -49/4 and -69/76? 76 Find the common denominator of -11/120 and -91/165. 1320 What is the common denominator of 10/37 and 49/333? 333 What is the smallest common multiple of 632 and 14? 4424 Find the common denominator of -139/132 and -181/30. 660 Find the common denominator of -45/71 and -1/4. 284 What is the least common multiple of 225 and 275? 2475 Calculate the common denominator of -107/120 and 119/1690. 20280 What is the common denominator of 1/14 and 91/64? 448 What is the smallest common multiple of 104 and 260? 520 What is the lowest common multiple of 318 and 78? 4134 Calculate the smallest common multiple of 16 and 36. 144 What is the common denominator of 39/269 and 2/3? 807 Calculate the lowest common multiple of 1298 and 352. 20768 Calculate the common denominator of -68/345 and 82/33. 3795 Calculate the least common multiple of 72 and 568. 5112 What is the lowest common multiple of 3675 and 7? 3675 What is the common denominator of -86/5355 and 88/3213? 16065 Calculate the lowest common multiple of 7980 and 42. 7980 What is the common denominator of 59/100 and 187/180? 900 What is the common denominator of 137/330 and -151/66? 330 What is the common denominator of 149/1608 and 7/3216? 3216 Calculate the common denominator of 97/48 and -31/54. 432 What is the least common multiple of 334 and 20? 3340 What is the lowest common multiple of 42 and 24? 168 Find the common denominator of 121/162 and -155/102. 2754 What is the smallest common multiple of 248 and 8? 248 What is the least common multiple of 2 and 2014? 2014 Calculate the common denominator of -5/1918 and -17/10. 9590 Calculate the common denominator of 77/1572 and 59/12. 1572 What is the common denominator of -34/5775 and 71/165? 5775 Calculate the smallest common multiple of 1374 and 30. 6870 What is the common denominator of 81/916 and 133/12? 2748 What is the common denominator of 67/33 and -109/3672? 40392 Calculate the smallest common multiple of 16 and 136. 272 What is the smallest common multiple of 109 and 9? 981 Calculate the common denominator of 47/475 and -7/400. 7600 Calculate the common denominator of -113/768 and 131/24. 768 What is the smallest common multiple of 20 and 95? 380 Find the common denominator of 23/21 and -31/231. 231 What is the least common multiple of 33 and 3? 33 Find the common denominator of 8/11 and 113/20. 220 Calculate the common denominator of 13/161 and -35/3657. 25599 Calculate the least common multiple of 531 and 1062. 1062 Calculate the least common multiple of 6 and 20. 60 Calculate the common denominator of 29/77 and -26/121. 847 What is the lowest common multiple of 40 and 1452? 14520 Calculate the common denominator of -22/343 and 37/49. 343 Calculate the least common multiple of 145 and 1972. 9860 What is the common denominator of 41/10404 and 47/1734? 10404 Calculate the common denominator of 101/6 and -47/4. 12 Find the common denominator of 1/1354 and -69/10. 6770 Calculate the least common multiple of 1624 and 48. 9744 Find the common denominator of -25/72 and 5/12. 72 Find the common denominator of 51/11 and -25/2826. 31086 Find the common denominator of -139/42 and -41/6160. 18480 Find the common denominator of 51/20 and -107/56. 280 Find the common denominator of 29/1323 and 34/245. 6615 Calculate the common denominator of -49/78 and 97/30. 390 What is the lowest common multiple of 28 and 427? 1708 Calculate the common denominator of -47/3512 and 19/2634. 10536 Calculate the common denominator of 83/60 and 89/10. 60 What is the smallest common multiple of 16 and 6? 48 Find the common denominator of -3/1547 and 59/10. 15470 What is the least common multiple of 168 and 500? 21000 Calculate the smallest common multiple of 154 and 5. 770 Calculate the lowest common multiple of 7848 and 8829. 70632 What is the lowest common multiple of 100 and 25? 100 Calculate the common denominator of 115/28 and -27/154. 308 What is the smallest common multiple of 5598 and 3110? 27990 What is the lowest common multiple of 171 and 171? 171 What is the smallest common multiple of 263 and 54? 14202 What is the least common multiple of 1044 and 16? 4176 Calculate the least common multiple of 60 and 26. 780 Calculate the smallest common multiple of 166 and 9. 1494 Find the common denominator of -73/18 and 107/112. 1008 What is the lowest common multiple of 10 and 13176? 65880 Calculate the common denominator of 18/17 and 41. 17 Find the common denominator of -151/6 and -109/12. 12 Calculate the common denominator of 87/196 and 87/10. 980 What is the lowest common multiple of 828 and 14? 5796 What is the smallest common multiple of 420 and 60? 420 What is the common denominator of 143/36 and 89/294? 1764 What is the common denominator of 107/2040 and 29/480? 8160 What is the least common multiple of 2 and 2062? 2062 Calculate the least common multiple of 324 and 243. 972 Calculate the lowest common multiple of 8 and 18. 72 What is the lowest common multiple of 2580 and 24? 5160 Calculate the smallest common multiple of 196 and 12. 588 Calculate the least common multiple of 672 and 1680. 3360 Find the common denominator of -123/20 and 21/1192. 5960 Calculate the least common multiple of 20 and 22. 220 What is the common denominator of -99/1846 and -59/7? 12922 Calculate the lowest common multiple of 646 and 10. 3230 What is the lowest common multiple of 474 and 14? 3318 Calculate the common denominator of 41/1360 and -73/510. 4080 What is the common denominator of -143/672 and 67/2496? 17472 What is the smallest common multiple of 26 and 1056? 13728 What is the common denominator of 103/612 and -13/272? 2448 What is the smallest common multiple of 4 and 316? 316 What is the common denominator of -1/77 and 95/44? 308 Calculate the common denominator of -5/6 and 27/284. 852 Calculate the lowest common multiple of 1950 and 90. 5850 Find the common denominator of -86/21 and 47/198. 1386 Find the common denominator of -119/870 and -97/2610. 2610 What is the common denominator of -81/20 and 13/55? 220 What is the lowest common multiple of 9 and 72? 72 What is the lowest common multiple of 9 and 466? 4194 Find the common denominator of -61/1740 and -109/10. 1740 What is the smallest common multiple of 54 and 36? 108 Calculate the common denominator of -7/4440 and -133/3996. 39960 Calculate the lowest common multiple of 3 and 4700. 14100 Calculate the common denominator of -127/9138 and 37/2. 9138 Calculate the least common multiple of 240 and 1338. 53520 Calculate the lowest common multiple of 424 and 530. 2120 Find the common denominator of 38/227 and 109/10. 2270 What is the common denominator of 61/108 and 5/126? 756 What is the least common multiple of 9 and 15? 45 What is the lowest common multiple of 408 and 360? 6120 What is the common denominator of -67/5352 and -65/18? 16056 What is the lowest common multiple of 1639 and 745? 8195 What is the common denominator of -1/35 and 11/130? 910 What is the smallest common multiple of 244 and 22? 2684 Calculate the lowest common multiple of 33 and 231. 231 What is the least common multiple of 7 and 2104? 14728 What is the least common multiple of 25 and 1130? 5650 Find the common denominator of -89/555 and -53/30. 1110 Calculate the least common multiple of 336 and 42. 336 What is the least common multiple of 133 and 304? 2128 Calculate the common denominator of 121/120 and 157/360. 360
{ "pile_set_name": "DM Mathematics" }
11*3 - (-12)/s a composite number? True Let v be (-4)/((-12)/9)*35083. Let p = -59966 + v. Is p prime? False Suppose -3528 = 421*w - 457*w. Suppose 3*t = 291 + 1056. Suppose 547 - w = x + 3*s, -t = -x - 2*s. Is x a composite number? False Let x = -12057 - -27700. Suppose -30*f + 148153 = x. Is f prime? False Suppose -g - 6 = 0, -3*j + 25*g - 21*g + 1178433 = 0. Is j a composite number? False Let v(n) = 10*n**2 + 10*n + 20. Let m be v(-10). Suppose 11*b - 15*b + m = 0. Let a = -147 + b. Is a composite? False Suppose 25*z = 19*z - 9426. Let a = 991 + z. Let l = -257 - a. Is l a composite number? True Let p(f) = 26*f**2 - 26*f - 49. Let s be p(10). Let j = s - 454. Is j a composite number? True Let z(t) = 91*t - 17. Let q be z(-7). Let v = 1728 + q. Suppose -u = 3*y - v + 363, -y - 2 = 0. Is u a composite number? True Let k = 308 - 285. Let g(i) = i**2 + 22*i - 32. Is g(k) a prime number? False Let y(n) = -n**2 - 18*n - 41. Let h be y(-16). Is (4 - -3611)*(-3)/h composite? True Let t(o) = o**2 + o + 14. Let f = -97 - -92. Let l be t(f). Suppose -z = -l - 24. Is z composite? True Let z(j) = -8 - 16*j + 33*j + 1 + 35*j**2 - 18*j. Is z(-6) composite? False Let m(r) = 3*r - 9. Let x be m(6). Suppose 9 = 3*u, 0*f = -3*f - u + x. Suppose f*n - 4499 = -3*n - 3*a, 2*n = -5*a + 1792. Is n prime? False Is (3106 - -13)/(12/(-120) - 1071/(-10410)) a composite number? True Let v(c) = 2151*c - 4. Let t be v(-2). Let w = t + 11147. Is w composite? False Let n be 1/1*1*-268. Let v = 459 + n. Is v composite? False Let m = -345407 + 993094. Is m a prime number? True Suppose -919*m + 894*m = -2037775. Is m prime? False Suppose -15 = 5*z, m + 7*z - 11*z - 14 = 0. Suppose -32694 = -m*y - 4*y. Is y a prime number? True Let f(g) = g**3 - 13*g**2 - 30*g + 20. Let q be f(15). Suppose q = 5*c, -5*m - c - c = -33. Let z(s) = 113*s - 24. Is z(m) prime? True Let h(c) = 1110*c**3 - 22*c**2 + 128*c - 29. Is h(6) composite? True Suppose 30*s = 45*s - 3844020. Suppose -s = -40*w + 63452. Is w a prime number? True Let c(x) = -6*x - 35. Suppose l + 3*z - 13 = 0, 0 = -2*l + 5*z - 3 + 7. Suppose j - 54 = l*j. Is c(j) composite? False Suppose 3*j - 411985 = 4*g, j = -4*g + 25454 + 111853. Is j a prime number? False Suppose -t + 8 = 5. Suppose t*b - 15 = 4*h + 12, -b + 2*h + 11 = 0. Suppose -b*d = -4*m - 2693, 5*m - 9 = 2*m. Is d composite? False Let v = -157760 - -606357. Is v prime? True Suppose 0 = -2*o - 3*t + 71, -5*o + 224 - 81 = -4*t. Let x(a) = -o + 92*a - 10*a + 19*a. Is x(10) prime? False Suppose -4*q = -3*q. Let g be (-589930)/(-190) + 7 + (-2)/(-19). Suppose 14*k - 6*k - g = q. Is k a composite number? False Let x be 2 + -4 + (-7)/(-1). Suppose -x*u + 3*i + 2733 = 0, -1599 + 503 = -2*u + 4*i. Suppose -2*r - 3*p = -383, 5*p = 4*r - r - u. Is r composite? True Suppose -4*a + 28 = 28*d - 30*d, d - 2 = 0. Suppose -3*n - 22924 = 5*j - 94781, 2*n - a = 0. Is j a composite number? False Suppose 15 = 3*i - 0*i. Suppose -i*n - 1457 = -4*p + 9478, 2*p - 2*n - 5468 = 0. Is p prime? False Let x = -671 + 8491. Let t = x + -3421. Is t composite? True Let l(o) = -14*o + 315. Let d be l(22). Suppose 3*m + 4*y - 33697 = 0, -5*m - 22493 = -d*m + 3*y. Is m a composite number? False Let j = -172 - -82. Let s = -349 - j. Let q = s + 710. Is q a composite number? True Let f = -1031406 + 1498735. Is f prime? True Let r be (30 - -1596) + 1*5. Let h = r - -8376. Is h prime? True Let n(c) = 1271*c**2 - 2*c - 3. Let x be n(-2). Let q = 8 + -22. Is (q/21)/((-6)/x) a composite number? True Suppose 2*w = -3*s - 462, 210 = -2*s + w - 91. Let o = -24 - s. Is (-1)/4*1 + 57760/o a composite number? True Is (1 - -2)/((-21)/(-63)) + 293304 composite? True Suppose -4*y + 2*l + 6 = 0, -l - 1 - 6 = -3*y. Suppose 3*z = -3*f - 6390, y*z - 8*z = -16. Is (2 - 0)*-2*f/8 composite? True Suppose 0 = 4*s - 39 + 7. Let a = 510 + -277. Suppose -a = -s*o + 111. Is o prime? True Let w be (40/6 - 6) + 62/6. Suppose w*k + 4 = 51825. Is k a composite number? True Let y(d) = 11086*d**2 + 3*d - 3. Let t be y(-2). Suppose 3*g = f + t, 25*g + 5*f - 73905 = 20*g. Is g composite? False Let v = 99 + 81. Let x = v - -1015. Is x prime? False Suppose -11*q - 11 = 33. Let l be 0 + 1 + -3357 + -3. Is -2 - (l - (-8)/q) a composite number? False Suppose 51 - 57 = -6*a. Is 4838*(a + 0)*(-13)/(-26) prime? False Is -11379*(-1 - (-22)/(-33)) a composite number? True Let r = 63 + -33. Suppose -27*b = -r*b + 174. Let t = b + 76. Is t a prime number? False Let o(n) be the third derivative of 32*n**5/15 + n**4/4 + 5*n**3/2 - n**2 - 1. Is o(-4) composite? False Let r(x) = x**3 + x + 37. Suppose 652 = 6*g + 652. Is r(g) prime? True Let m(a) = -3*a**3 - 30*a**2 - 35*a + 8. Let z be m(-11). Suppose 3*b - z = 825. Is b prime? False Suppose -4*h + 5*n = -2825289, 2*n - 1609121 = -5*h + 1922548. Is h a prime number? False Suppose 2*j - l + 1 = 0, j - 4*l = 6*j + 35. Is 3873*20/12 - j composite? True Let q(l) = 195286*l**3 - l**2 + 2*l. Is q(1) prime? False Let y(j) = 1942*j**2 - 59*j - 338. Is y(-15) a prime number? True Suppose 0 = -5*t + 2*l - 13, 3*l - 5*l + 8 = 0. Let q(g) = -254*g**2 - g + 4. Let k(v) = 127*v**2 + v - 2. Let o(w) = -5*k(w) - 3*q(w). Is o(t) a prime number? True Suppose 2*w + 52 + 2 = 0. Let v be (1488 + 0)/(w/(-36)). Suppose -v = -8*h + 1304. Is h a prime number? False Suppose 78*w = 73*w + 2*p + 726263, 3*w + 4*p = 435763. Is w a composite number? False Let h(w) = -83*w**3 + 19*w**2 + 5*w + 48. Is h(-7) prime? False Suppose -7*i - 18 = -3*n - 3*i, 5*n + 5 = -5*i. Suppose -r + 8*a + 1641 = 4*a, n*a = 8. Is r a composite number? False Let k be -1 - 6/(-1 + -1). Suppose 6*o = -5*p + 62 + 5, -3*o + 4*p + 1 = 0. Suppose -o*r - d + 2908 = -2*r, -k*d - 2899 = -5*r. Is r a prime number? False Let v(g) = -3*g**3 + 57*g**2 + 26*g + 259. Is v(-24) composite? False Suppose 12*n - 7946914 = -41*n + 209097. Is n composite? False Suppose 707342 = 19*d - 631607. Is d prime? False Let g = -90602 + 196135. Is g a composite number? False Let c = 42 + -44. Let y be ((-2)/c)/(2 + 2 + -5). Is 633/(-6)*-2 + 0/y a composite number? False Suppose -5*d = -2*i + 2392 + 320, d - 1356 = -i. Let b = -493 + i. Is b prime? True Let r(q) = q**2 - 6*q + 6. Let b be r(5). Let x(c) = 188*c**3 + 3 - 3*c**2 + 600*c**3 + c**2 - 4*c + c**2 + c. Is x(b) a prime number? True Suppose -2*r + 3*h + 18 = 0, 4*r = 5*r - h - 10. Is (2*(-15681)/r)/(2/(-4)) composite? False Let h(g) = -67*g + 85. Let k be h(14). Let v = 2250 + k. Is v prime? False Let t(z) = 386*z - 25. Let b(g) = -7. Let u(c) = -3*b(c) + t(c). Let q = 10 + -9. Is u(q) a composite number? True Let j = -2808 - -1693. Let l = j - -1930. Is l prime? False Suppose -15*o + 10*o + 20 = 0. Suppose 10 = -o*c + 2*t, -3*c - 3*t = -6*c - 15. Suppose 2*r + u = 1735, c = r + 4*u - 0*u - 885. Is r a composite number? True Is (-8)/26 - ((-41162226)/299 - -13) a prime number? True Let m(g) = -g**3 - 22*g**2 - 23*g + 9. Let k = 149 - 85. Suppose -106 = 2*v - k. Is m(v) a prime number? False Let i be 62*4/(-8) + -2 + 1. Let z be ((-3)/4)/(8/i) + 743. Suppose z = 3*s - 133. Is s a composite number? False Let s = 2877 - 1139. Let c = s + -753. Is c prime? False Let x = -230441 - -395808. Is x a composite number? False Let b be (-63)/(-6) + 6/(-4). Suppose -q + b = m, -4*m - 9 = -4*q - q. Suppose 6*p - 2*p = q*z + 11752, -p = z - 2929. Is p composite? True Let x(b) = -688*b + 135. Is x(-8) a prime number? True Suppose 0*s - 17*s = 180523. Let t = s + 17572. Is t a composite number? True Let b(o) = -119*o + 1334. Is b(-33) composite? False Suppose s - 5 = p, 2 + 7 = -3*s - 5*p. Is (-38 + 36)*(-21313)/s a composite number? False Let z = 696663 + -28936. Is z composite? False Suppose -6*h - 30 = -11*h + 4*f, 2*h - f = 9. Let o be (-1*h - -4871)*(-14)/(-21). Suppose -4*q + o = -1022. Is q a composite number? True Suppose -15*m - 10*m + 375 = 0. Suppose -m*q = -171 - 114. Is q a composite number? False Let f(r) = 1882*r**2 + 146*r - 69. Is f(5) composite? False Let n(y) = y + 9. Let i be n(-7). Suppose 0 = 3*j - 2*j - i. Suppose 8 = -j*o + 60. Is o prime? False Suppose 12469569 = 37*v + 27*v + 83*v. Is v composite? False Suppose 0 = -5*f + 7 - 27, -n - 5*f + 175 = 0. Let d be ((-548)/72 + (-4)/18)*-6. Suppose 2*o = n - d. Is o composi
{ "pile_set_name": "DM Mathematics" }
+ 492499*u**2 = 0. -2793, -529, 0 What is k in -12*k**4 - 125096*k**3 - 83316*k**2 + 792200*k - 250176 = 0? -10424, -3, 1/3, 2 Factor 4*i**2 - 20408*i + 183348. 4*(i - 5093)*(i - 9) Factor -v**2 - 85588*v + 145009500. -(v - 1662)*(v + 87250) Solve -2*b**4/13 - 7640*b**3/13 + 64196*b**2 - 22888792*b/13 + 22061886/13 = 0 for b. -3927, 1, 53 Factor 3*o**2 - 395319*o + 24498246. 3*(o - 131711)*(o - 62) Solve -d**3/6 + 4861*d**2/6 + 85663*d/3 + 27744 = 0 for d. -34, -1, 4896 Determine n so that -3*n**3 + 43728*n**2 - 87399*n - 655830 = 0. -3, 5, 14574 Find t, given that -3*t**2/4 - 27876*t - 4566621/4 = 0. -37127, -41 Find h such that -2*h**2/3 - 22846*h/3 - 537328 = 0. -11352, -71 Factor 3*s**4 + 21413208*s**3 + 38210499230652*s**2 + 152841654311472*s. 3*s*(s + 4)*(s + 3568866)**2 Factor -r**3/11 + 564*r**2 - 10496100*r/11 + 5390075872/11. -(r - 3832)*(r - 1186)**2/11 Solve 2*u**4/15 + 154556*u**3/15 + 6429416*u**2/5 - 154556*u/15 - 3857650/3 = 0 for u. -77153, -125, -1, 1 Find c such that c**3 - 145*c**2 + 2007*c + 7353 = 0. -3, 19, 129 Solve -20*o**4 + 717*o**3 + 11888*o**2 - 10713*o - 1872 = 0. -13, -3/20, 1, 48 What is i in i**3 - 22177385*i**2 + 122959090270863*i + 122959112448249 = 0? -1, 11088693 Solve -3*r**5 - 519*r**4 + 25038*r**3 + 1419510*r**2 + 9205557*r - 10649583 = 0 for r. -203, -29, -9, 1, 67 Factor 2*a**2/17 + 7488*a/17 - 9020354/17. 2*(a - 959)*(a + 4703)/17 Factor 4*j**4/3 + 18524*j**3/3 + 9644100*j**2 + 15749132500*j/3 + 794433500000/3. 4*(j + 56)*(j + 1525)**3/3 Solve -2*q**4/17 + 669816*q**3/17 - 18753162*q**2/17 - 39515780*q/17 - 20092800/17 = 0 for q. -1, 30, 334880 Factor h**2/2 - 160409578*h + 12865616357069042. (h - 160409578)**2/2 Factor 5*c**3 + 444535*c**2 + 9844686040*c - 1596538110580. 5*(c - 161)*(c + 44534)**2 Let 2*i**2 + 5646*i - 590648 = 0. What is i? -2924, 101 Let 4*w**2/9 - 3273512*w/9 - 363724 = 0. Calculate w. -1, 818379 Find x, given that x**3 + 1964464*x**2 - 23573676*x + 70721136 = 0. -1964476, 6 What is b in 36*b**3 - 818508*b**2 - 218523092*b - 14500658436 = 0? -397/3, 23001 What is j in 5*j**3 - 228765*j**2 - 2517080*j + 2745840 = 0? -12, 1, 45764 Find o such that -3*o**5/8 - 171*o**4/4 - 5475*o**3/8 - 3546*o**2 - 5208*o - 2304 = 0. -96, -8, -1 Find h such that 4*h**2 - 804*h + 38880 = 0. 81, 120 Find g, given that -g**3/12 + 1329077*g**2/12 - 3101151*g/2 + 2658126 = 0. 2, 12, 1329063 Suppose -9*q**5 + 10623*q**4 - 3513*q**3 - 31851*q**2 - 10626*q + 7080 = 0. What is q? -1, 1/3, 2, 1180 What is a in 3*a**4 + 759696*a**3 + 48101671146*a**2 + 865645483248*a + 3895127785107 = 0? -126607, -9 Find y, given that -12*y**4/5 + 34736*y**3 + 2027516*y**2/5 + 5562384*y/5 - 417168 = 0. -6, 1/3, 14485 Find y such that 2*y**2 - 40026*y + 14111572 = 0. 359, 19654 Factor w**3/5 + 12377*w**2/5 - 7430*w - 24760. (w - 5)*(w + 2)*(w + 12380)/5 Let -4*g**3 - 361856*g**2 = 0. What is g? -90464, 0 Suppose -3*g**5/2 - 133698*g**4 - 534777*g**3 - 802158*g**2 - 1069539*g/2 - 133692 = 0. What is g? -89128, -1 Let -2*t**4/3 - 4216*t**3/15 + 183002*t**2/15 - 112896*t - 1384152/5 = 0. Calculate t. -462, -2, 21, 107/5 Find w, given that -3*w**4 - 12775203*w**3 + 76651290*w**2 - 153302628*w + 102201768 = 0. -4258407, 2 Solve -192*k**5 - 4176*k**4 + 255453*k**3 - 1571634*k**2 + 380967*k - 23562 = 0. -51, 1/8, 7, 22 Find n such that -79*n**3/6 - 405242*n**2/3 - 235957*n/6 = 0. -10259, -23/79, 0 Suppose -5*l**4 - 13635*l**3 - 270595*l**2 + 284235*l = 0. Calculate l. -2707, -21, 0, 1 Determine n, given that -2*n**5/11 + 790*n**4/11 - 54254*n**3/11 + 203722*n**2/11 + 54256*n/11 - 18592 = 0. -1, 1, 4, 83, 308 Let -4*s**5/3 - 2144*s**4 + 1466828*s**3/3 - 26657224*s**2 + 154127552*s/3 = 0. Calculate s. -1816, 0, 2, 103 Solve -2*w**4/9 + 788*w**3/3 - 77354*w**2 - 1399472*w/9 - 77880 = 0 for w. -1, 590, 594 Let k**4/3 - 3332*k**3/3 + 72743*k**2 + 1717982*k/3 - 1932880/3 = 0. Calculate k. -8, 1, 74, 3265 Determine f so that 5*f**3 - 213820*f**2 + 2139462145*f + 3180872366950 = 0. -1310, 22037 Factor z**2 - 79990*z + 22795344. (z - 79704)*(z - 286) Factor q**3 - 351*q**2 - 145425*q + 145775. (q - 595)*(q - 1)*(q + 245) Factor -2*y**2/11 - 14934*y/11 - 329312. -2*(y + 251)*(y + 7216)/11 Factor 3*g**3/2 + 83410881*g**2/2 + 289890440208600*g - 2609017340019174. 3*(g - 9)*(g + 13901818)**2/2 Suppose 18236*o**3/3 - 3574856*o**2/3 + 175256144*o/3 - 1920800 = 0. What is o? 150/4559, 98 Let o**4/9 - 2742422*o**3/9 + 626738954699*o**2/3 + 3760441955464*o/9 + 1880222348944/9 = 0. What is o? -1, 1371212 Factor 87*p**3/5 + 33323*p**2/5 + 766*p/5. p*(p + 383)*(87*p + 2)/5 Solve 4*f**2 - 9070432*f - 9070436 = 0 for f. -1, 2267609 Factor 2*p**5 - 148986*p**4 + 9826542*p**3 - 162102006*p**2. 2*p**2*(p - 74427)*(p - 33)**2 Factor 3*z**3 - 818352*z**2 + 55793599740*z + 2009630314800. 3*(z - 136410)**2*(z + 36) Solve -21*u**4/2 - 1149*u**3/2 + 3273*u**2 - 3408*u + 720 = 0. -60, 2/7, 1, 4 Let -n**3/3 + 8206*n**2 - 67326115*n + 552273152176/3 = 0. Calculate n. 7984, 8317 Suppose 2*a**3/7 + 2022*a**2 + 437188*a/7 + 338208 = 0. What is a? -7046, -24, -7 Factor -245*f**3 + 31574140*f**2 - 1017272396145*f + 41521269690. -5*(f - 64437)**2*(49*f - 2) Let -4*q**3/5 - 24380*q**2 + 6471936*q/5 = 0. Calculate q. -30528, 0, 53 Solve 3*h**2/4 - 13101*h - 3418935/4 = 0 for h. -65, 17533 Determine p so that -2*p**5/5 + 69762*p**4/5 - 418478*p**3/5 - 153474*p**2 + 836960*p + 1395000 = 0. -2, 5, 34875 Determine j so that 4*j**5 - 960*j**4 + 5532*j**3 + 229456*j**2 + 405840*j - 3355200 = 0. -10, -6, 3, 20, 233 Let -5*o**3 + 60710*o**2 - 1212200*o = 0. What is o? 0, 20, 12122 Factor x**3/2 + 1749571*x**2/2 - 360443453*x/2 + 18563384193/2. (x - 103)**2*(x + 1749777)/2 Factor w**2/9 + 4141243*w/3 - 12423730/9. (w - 1)*(w + 12423730)/9 Solve -3*a**4 + 3500607*a**3 - 73511865*a**2 + 514580997*a - 1200686592 = 0 for a. 7, 1166848 Factor 2*c**2 - 2766114*c - 47024516. 2*(c - 1383074)*(c + 17) Suppose -f**5/5 - 1362*f**4/5 - 18904*f**3/5 - 43008*f**2/5 + 172544*f/5 = 0. What is f? -1348, -8, 0, 2 Factor 3*o**2 + 70803*o - 5469618. 3*(o - 77)*(o + 23678) Let -3*j**2 + 92721*j + 30072564 = 0. Calculate j. -321, 31228 Find d, given that -1042441*d**3 - 1892042667*d**2 - 22237416*d - 65340 = 0. -1815, -6/1021 Find z, given that z**2 - 223827*z + 895292 = 0. 4, 223823 Factor h**2/6 + 160979182*h/3 + 12957148518694562/3. (h + 160979182)**2/6 Let 2*m**3/7 + 1053218*m**2/7 - 902766*m + 9479070/7 = 0. Calculate m. -526615, 3 Factor -16*v**3 + 18596160*v**2 + 18596172*v + 4649044. -4*(v - 1162261)*(2*v + 1)**2 Factor -2*x**2/11 - 9348786*x/11 + 28046376/11. -2*(x - 3)*(x + 4674396)/11 Factor -r**3/2 + 35832485*r**2/2 - 71664967*r/2 + 35832483/2. -(r - 35832483)*(r - 1)**2/2 Suppose -6*f**4/11 - 64*f**3 - 14830*f**2/11 + 26700*f/11 = 0. What is f? -89, -30, 0, 5/3 Factor -5*f**2 - 56545*f - 144980100. -5*(f + 3929)*(f + 7380) Solve 4*u**2 - 148428*u - 1930240 = 0 for u. -13, 37120 Suppose j**5 + 5043*j**4/5 + 2889*j**3/5 - 135891*j**2/5 + 190674*j/5 + 163296/5 = 0. Calculate j. -1008, -6, -3/5, 3 Suppose -o**4 + 3467300*o**3 - 3005524985950*o**2 - 30055509907500*o - 75138991475625 = 0. Calculate o. -5, 1733655 Factor -4*l**2 + 9097544*l - 5172831676996. -4*(l - 1137193)**2 Suppose -2*i**2/5 + 11242*i/5 + 361792/5 = 0. What is i? -32, 5653 Factor 3*u**3 - 405222*u**2 + 1215645*u - 810426. 3*(u - 135071)*(u - 2)*(u - 1) Let -5*b**5 + 15815*b**4 - 6152165*b**3 + 661452825*b**2 - 4286673990*b - 4954294800 = 0. What is b? -1, 8, 213, 2730 Find r such that -4*r**3 - 6535336*r**2 + 13070688*r = 0. -1633836, 0, 2 Determine v so that 2*v**4/3 - 9524*v**3/3 + 10937752*v**2/3 + 962037776*v/3 = 0. -82, 0, 2422 Let 41126569*h**2/2 + 365541*h + 3249/2 = 0. What is h? -57/6413 Factor 3*t**3/8 - 2463*t**2/4 - 1096104*t + 1801255860. 3*(t - 1676)**2*(t + 1710)/8 Factor 4*g**4 + 44880*g**3 + 168519000*g**2 + 214239650000*g + 9303606562500. 4*(g + 45)*(g + 3725)**3 Determine o, given that -4*o**4 - 66720*o**3 + 1535992*o**2 - 11423232*o + 27058860 = 0. -16703, 5, 9 Solve 2*s**5/5 - 745666*s**4/5 - 1491346*s**3/5 + 2237002*s**2/5 + 2982688*s/5 - 596536 = 0 for s. -2, 1, 372835 Find p, given that -2*p**4/7 - 155164*p**3 - 147470115378*p**2/7 - 210659956240*p - 3686481351200/7 = 0. -271532, -5 Solve d**2 - 1028*d
{ "pile_set_name": "DM Mathematics" }
s 10221010 (base 3) in base 7? 11232 -286 (base 14) to base 15 -240 What is -18724 (base 11) in base 14? -976a Convert -1020122 (base 3) to base 5. -12113 46024 (base 8) to base 10 19476 What is 7c88 (base 16) in base 12? 16548 What is 111001111101 (base 2) in base 15? 1174 Convert 110221021 (base 3) to base 12. 555a What is -11110100011110 (base 2) in base 5? -1000041 -21021 (base 3) to base 7 -400 What is 3532 (base 10) in base 12? 2064 What is -101010010 (base 2) in base 6? -1322 What is 2c1 (base 15) in base 2? 1001110111 Convert -12172 (base 8) to base 10. -5242 What is 89b (base 13) in base 14? 77a Convert -1028 (base 12) to base 5. -24020 What is -53326 (base 8) in base 14? -815c Convert -52005 (base 6) to base 3. -100111012 Convert -35413 (base 6) to base 5. -130441 Convert -1335 (base 12) to base 2. -100010011001 -1133 (base 11) to base 10 -1488 What is 3620 (base 7) in base 11? 1006 What is -5ab (base 14) in base 12? -7a3 Convert 1022200010 (base 3) to base 4. 12112110 Convert 205144 (base 7) to base 8. 105122 What is -220010 (base 5) in base 16? -1d51 -385 (base 9) to base 2 -101000000 What is 56443 (base 7) in base 12? 832a 10778 (base 13) to base 9 44838 Convert 6b5 (base 16) to base 12. bb1 -314422 (base 5) to base 14 -3c20 Convert 1401 (base 6) to base 15. 191 -3132000 (base 4) to base 6 -145440 Convert 4b (base 16) to base 5. 300 -421 (base 5) to base 9 -133 Convert 4530 (base 6) to base 5. 13222 What is 702 (base 15) in base 16? 629 What is 3322 (base 7) in base 6? 5304 What is 10100100110 (base 2) in base 13? 7a5 Convert 11010011110010 (base 2) to base 8. 32362 333 (base 8) to base 13 13b -201121211 (base 3) to base 5 -424210 Convert -15029 (base 10) to base 14. -5697 What is -70 (base 11) in base 4? -1031 Convert -1442 (base 7) to base 13. -34a Convert -211001 (base 3) to base 8. -1123 cd1 (base 16) to base 11 2513 1111111100010111 (base 2) to base 10 65303 -2116 (base 7) to base 11 -620 -771 (base 8) to base 4 -13321 Convert 22331110 (base 4) to base 15. d474 What is -a452 (base 14) in base 4? -12322020 Convert 21ad (base 14) to base 15. 1ae2 6462 (base 11) to base 3 102201020 Convert -5510 (base 7) to base 12. -117b 10020 (base 4) to base 16 108 -21121 (base 3) to base 15 -da What is -43b (base 16) in base 4? -100323 Convert -160b3 (base 13) to base 14. -113a1 What is 1101111001000001 (base 2) in base 13? 1cb89 What is -2612 (base 8) in base 16? -58a What is -26315 (base 9) in base 11? -1237a Convert 1001110001000110 (base 2) to base 6. 505114 -52 (base 15) to base 16 -4d -2c1 (base 15) to base 10 -631 -111111101000 (base 2) to base 6 -30504 -1051 (base 16) to base 15 -1387 Convert 110340 (base 5) to base 2. 111100000101 398b (base 13) to base 9 12251 What is 22354 (base 6) in base 4? 301132 -11011110001011 (base 2) to base 10 -14219 14441 (base 5) to base 15 581 -86 (base 10) to base 6 -222 What is 1101000011000100 (base 2) in base 4? 31003010 Convert -50565 (base 9) to base 8. -100765 Convert -1355 (base 6) to base 8. -547 What is 56a5 (base 11) in base 8? 16510 Convert -12316 (base 7) to base 3. -11110021 10123 (base 9) to base 3 100010210 122440 (base 5) to base 11 3624 Convert -15100 (base 6) to base 9. -3270 420 (base 5) to base 2 1101110 Convert 25035 (base 6) to base 15. 1165 111210202 (base 3) to base 9 14722 What is 338 (base 16) in base 7? 2255 59 (base 10) to base 2 111011 Convert -17c7 (base 15) to base 5. -131022 What is -2c62 (base 15) in base 3? -111002102 What is 134403 (base 5) in base 9? 7615 Convert 224 (base 7) to base 9. 138 2330 (base 8) to base 10 1240 -100100011011 (base 2) to base 4 -210123 -4053 (base 7) to base 16 -582 221 (base 15) to base 9 584 25 (base 6) to base 5 32 a00 (base 12) to base 3 1222100 4023 (base 10) to base 8 7667 Convert 1011111110 (base 2) to base 12. 53a 1064 (base 9) to base 15 377 Convert -43455 (base 6) to base 13. -2975 11110110011101 (base 2) to base 10 15773 Convert -222212 (base 3) to base 13. -43a Convert -71a4 (base 11) to base 14. -36a4 Convert -111111011010 (base 2) to base 12. -2422 Convert 2210312 (base 4) to base 12. 6132 What is 6a (base 15) in base 7? 202 1245 (base 6) to base 7 632 -505 (base 15) to base 11 -938 Convert 318 (base 13) to base 6. 2240 cbd (base 16) to base 7 12336 -594 (base 13) to base 12 -686 What is 1011111 (base 3) in base 8? 1522 What is -13452 (base 6) in base 14? -ab6 Convert -12500 (base 6) to base 12. -1130 -110023 (base 5) to base 16 -eb3 1225 (base 10) to base 3 1200101 -186 (base 14) to base 3 -102122 Convert 20344 (base 6) to base 3. 10202001 What is -1722 (base 16) in base 3? -22010100 What is -844 (base 9) in base 5? -10223 What is 3ee (base 15) in base 6? 4055 10306 (base 7) to base 5 40204 Convert a348 (base 13) to base 6. 252201 -11001000100101 (base 2) to base 13 -5ac6 5c2 (base 14) to base 6 5154 c1ad (base 16) to base 5 3041311 What is 3424 (base 8) in base 15? 80c What is -142321 (base 5) in base 10? -5961 100000000001 (base 2) to base 6 13253 284a (base 11) to base 6 25020 What is -4198 (base 10) in base 14? -175c What is 6a34 (base 11) in base 8? 22021 Convert 484 (base 15) to base 2. 10000000000 What is -1325 (base 7) in base 13? -302 What is 104330 (base 5) in base 2? 111010000011 Convert 3460 (base 8) to base 2. 11100110000 What is -1348 (base 13) in base 5? -42024 177 (base 14) to base 11 254 16c60 (base 13) to base 6 535001 -152a (base 11) to base 10 -1968 Convert -15767 (base 8) to base 10. -7159 1535 (base 12) to base 7 10154 -1110110 (base 2) to base 14 -86 25660 (base 7) to base 3 100101211 -410 (base 9) to base 14 -19b -778 (base 10) to base 15 -36d -12202 (base 5) to base 7 -2463 What is 3081 (base 14) in base 16? 2099 -403 (base 14) to base 3 -1002011 -22a (base 12) to base 2 -101000010 -481 (base 15) to base 16 -3fd 1001001 (base 3) to base 10 757 Convert -111110 (base 3) to base 16. -16b -26536 (base 7) to base 13 -3328 -100010101 (base 2) to base 5 -2102 Convert 15406 (base 7) to base 14. 1806 What is 101121 (base 3) in base 6? 1154 Convert 101111010000 (base 2) to base 6. 22000 1001001111110110 (base 2) to base 13 14319 400 (base 7) to base 14 100 -22120130 (base 4) to base 3 -2011022222 Convert 5602 (base 11) to base 12. 4333 Convert -894a (base 11) to base 8. -27017 What is -23481 (base 11) in base 13? -12539 What is 113 (base 7) in base 3? 2012 Convert 122222102 (base 3) to base 12. 7702 What is 43 (base 8) in base 13? 29 12111201 (base 3) to base 12 23a7 Convert -278 (base 10) to base 11. -233 -331 (base 12) to base 14 -257 5279 (base 13) to base 12 673b What is -10274 (base 13) in base 3? -1110202212 What is -301 (base 7) in base 6? -404 -87 (base 10) to base 12 -73 What is 1030442 (base 5) in base 4? 10103112 What is -17700 (base 9) in base 3? -121210000 What is -2003 (base 7) in base 2? -1010110001 -aa1 (base 12) to base 13 -931 What is 3ec (base 16) in base 14? 51a Convert -1372 (base 14) to base 6. -23520 -673 (base 8) to base 7 -1202 -333322 (base 4) to base 8 -7772 Convert -100016 (base 7) to base 5. -1014240 What is 1032 (base 10) in base 11? 859 8248 (base 11) to base 9 16007 Convert 31128 (base 10) to base 12. 16020 -3032120 (base 4) to base 11 -9a18 What is -3331 (base 7) in base 3? -1122101 -3aa (base 11) to base 13 -2b2 Convert -10010 (base 8) to base 14. -16d2 Convert 10 (base 2) to base 7. 2 Convert -337 (base 12) to base 8. -733 What is 43ce (base 16) in base 6? 212210 1d7 (base 16) to base 7 1242 Convert -332133 (base 4) to base 11. -3006 Convert 18b1 (base 13) to base 9. 5053 -18386 (base 11) to base 15 -7966 What is -1000 (base 4) in base 14? -48 205 (base 10) to base 13 12a What is -537 (base 9) in base 16? -1b7 What is -1782 (base 11) in base 10? -2268 -1511 (base 7) to base 14 -308 What is -4814 (base 16) in base 3? -221022102 What is -33010 (base 7) in base 6? -102051 101111000110 (base 2) to base 6 21542 What is -4957 (base 14) in base 4? -3020101 What is -122213 (base 5) in base 6? -33403 Convert -f6e (base 16) to base 15. -1285 Convert -4005 (base 6) to base 15. -3ce What is -11414 (base 6) in base 7? -4600 What is -14c8 (base 16) in base 4? -1103020 Convert bc4 (base 14) to base 4. 210120 -204322 (base 6) to base 2 -100000010011010 What is 214442 (base 5) in base 9? 11
{ "pile_set_name": "DM Mathematics" }
est common factor of 1633466 and 28026. 346 What is the greatest common factor of 1320 and 626420? 20 What is the greatest common divisor of 206423573 and 183? 61 Calculate the highest common divisor of 11733220 and 45. 5 Calculate the greatest common factor of 30710 and 118952114. 6142 Calculate the greatest common divisor of 163231439 and 9422. 4711 What is the greatest common divisor of 52902691 and 408? 17 Calculate the highest common factor of 374 and 60718. 2 Calculate the highest common factor of 2258 and 1262. 2 What is the highest common divisor of 1555736 and 133328? 104 Calculate the greatest common factor of 380 and 3432616. 76 What is the greatest common divisor of 3735 and 17010? 45 What is the greatest common factor of 5773740 and 168? 84 Calculate the highest common factor of 11584 and 80440744. 1448 What is the greatest common factor of 7535923 and 15129? 1681 What is the highest common divisor of 4557 and 10324839? 147 Calculate the highest common divisor of 70255 and 160. 5 Calculate the highest common divisor of 34901 and 149869. 2053 What is the greatest common factor of 12172325 and 220? 55 What is the highest common factor of 125472 and 1824? 96 Calculate the highest common divisor of 360857377 and 47972. 11993 What is the greatest common factor of 12 and 8747856? 12 What is the highest common factor of 7 and 145886111? 7 What is the highest common factor of 12 and 308593092? 12 What is the highest common divisor of 540925 and 16000600? 1925 Calculate the greatest common divisor of 490445285 and 55. 55 Calculate the highest common divisor of 455834583 and 867. 51 What is the greatest common divisor of 239376 and 704? 16 Calculate the highest common divisor of 9612 and 421148. 356 Calculate the highest common divisor of 513 and 173785419. 513 Calculate the greatest common factor of 738294889 and 2957. 2957 Calculate the highest common divisor of 104244 and 6201804. 1428 Calculate the highest common factor of 5632 and 125856896. 1408 Calculate the greatest common divisor of 4158 and 310101. 33 Calculate the highest common divisor of 273325438 and 148. 74 What is the highest common factor of 88373275 and 5? 5 Calculate the highest common divisor of 33976329 and 1389. 1389 What is the highest common divisor of 44 and 1231920? 4 Calculate the greatest common divisor of 3605721 and 49749. 2163 Calculate the greatest common factor of 254868 and 1487364. 3804 What is the greatest common factor of 147941 and 15475? 619 What is the highest common divisor of 1350140975 and 125? 25 What is the greatest common factor of 105 and 1568413? 7 Calculate the highest common factor of 4256584 and 20096. 1256 Calculate the highest common divisor of 42520587 and 51. 51 Calculate the highest common divisor of 103559114 and 73. 73 What is the highest common factor of 108 and 106259418? 54 What is the highest common factor of 29632 and 576? 64 What is the highest common factor of 14029508 and 20430? 454 What is the greatest common divisor of 6039 and 738243? 99 Calculate the highest common divisor of 509702708 and 3505. 701 Calculate the highest common divisor of 6952 and 15413453. 869 Calculate the greatest common divisor of 3404 and 22632. 92 Calculate the highest common factor of 10480950 and 13050. 450 What is the greatest common divisor of 7 and 12237176? 7 Calculate the highest common factor of 19929446 and 334. 334 Calculate the greatest common divisor of 273768 and 4811. 17 Calculate the greatest common factor of 470066830 and 170. 170 What is the greatest common divisor of 4232545 and 326035? 985 What is the greatest common divisor of 198 and 3922688? 22 What is the greatest common factor of 735 and 12652136? 7 Calculate the greatest common factor of 13616 and 15982631. 851 Calculate the greatest common factor of 703 and 1484773. 37 What is the highest common divisor of 2928 and 1633458? 366 Calculate the greatest common factor of 350660 and 170435. 445 Calculate the highest common factor of 6400 and 1308400. 400 Calculate the greatest common divisor of 19 and 233750. 1 Calculate the greatest common divisor of 1465908 and 1284. 12 What is the greatest common divisor of 6576 and 668930448? 6576 What is the highest common factor of 115203156 and 76? 76 Calculate the greatest common divisor of 1430550210 and 30. 30 Calculate the greatest common factor of 418 and 35748779. 11 What is the highest common divisor of 9019316 and 51? 17 What is the highest common factor of 67099 and 6800? 17 What is the highest common factor of 964964 and 34034? 2002 What is the greatest common divisor of 752 and 370078? 94 What is the highest common factor of 2828 and 5518828? 28 What is the highest common divisor of 40 and 618160540? 20 What is the highest common factor of 888 and 344892? 12 What is the greatest common divisor of 41791704 and 144? 24 What is the highest common factor of 84420 and 62310? 2010 What is the greatest common factor of 43831329 and 194412? 2859 Calculate the highest common divisor of 12908 and 276. 4 What is the greatest common divisor of 4390554 and 6153? 21 Calculate the greatest common divisor of 124838675 and 26. 13 What is the highest common divisor of 5062576 and 1552? 16 What is the greatest common divisor of 11716822 and 4433? 403 What is the highest common divisor of 1333698 and 266262? 1194 Calculate the highest common factor of 276 and 4784253. 69 Calculate the greatest common divisor of 27343 and 8618218. 739 What is the highest common factor of 10261827 and 243? 9 Calculate the highest common factor of 6375 and 9188075. 425 What is the greatest common divisor of 1074 and 681990? 1074 What is the highest common divisor of 2365 and 363342905? 215 What is the greatest common divisor of 2979 and 279141? 3 Calculate the highest common factor of 7453 and 2028691694. 7453 What is the highest common divisor of 34916 and 415744? 812 Calculate the greatest common factor of 2360016 and 195454. 1214 What is the greatest common divisor of 234577 and 421176? 161 Calculate the greatest common factor of 2101018682 and 14. 14 Calculate the greatest common divisor of 12 and 45894036. 12 Calculate the greatest common divisor of 3043 and 7998973. 179 What is the highest common divisor of 488 and 11471? 1 Calculate the greatest common divisor of 780 and 6446778. 78 What is the greatest common divisor of 15936381 and 5661? 333 What is the greatest common divisor of 13167 and 33817707? 693 What is the highest common divisor of 1829663 and 254808? 3539 What is the highest common factor of 29200 and 226000? 400 Calculate the highest common divisor of 96646 and 146234. 506 What is the highest common factor of 946 and 1668271? 473 Calculate the greatest common divisor of 67220 and 23140. 20 Calculate the greatest common divisor of 35530 and 8. 2 What is the greatest common divisor of 1173 and 2556933? 69 What is the highest common factor of 96 and 106026672? 48 What is the greatest common divisor of 497 and 25817943? 71 Calculate the highest common divisor of 28427570 and 20. 10 What is the highest common factor of 3312 and 99681264? 3312 What is the highest common divisor of 885192 and 11781? 231 Calculate the greatest common divisor of 453420 and 39600. 1980 What is the highest common factor of 48 and 23138000? 16 Calculate the highest common divisor of 57047358 and 18. 6 What is the greatest common divisor of 40859012 and 536? 268 Calculate the highest common factor of 4061349 and 7464. 933 What is the greatest common divisor of 22975467 and 563? 563 Calculate the highest common divisor of 197455 and 32545. 115 What is the highest common divisor of 26093 and 463487? 269 Calculate the highest common divisor of 80 and 96595. 5 Calculate the greatest common factor of 44793 and 1182762. 567 Calculate the greatest common divisor of 724080 and 33600. 1680 Calculate the highest common factor of 21384492 and 21364. 436 Calculate the greatest common factor of 198 and 240182250. 66 What is the highest common divisor of 21250478 and 48? 2 Calculate the highest common divisor of 2107167 and 1696209. 4029 Calculate the greatest common factor of 727517175 and 21. 21 What is the highest common factor of 493362 and 93213? 9 Calculate the greatest common fa
{ "pile_set_name": "DM Mathematics" }
-23648? -23648 Which is smaller: -45070 or -45073? -45073 Which is bigger: 23688 or 1? 23688 Is 10/613 greater than -1? True Which is smaller: -84599 or -84606? -84606 Are 0 and -5/447749 unequal? True Which is smaller: -122/13 or -0.5975? -122/13 Which is greater: -1 or 5/51523? 5/51523 Which is smaller: 1213 or 1292? 1213 Is -2 > 2/25839? False Is 18349 less than or equal to 18347? False Which is smaller: 1 or 10/135421? 10/135421 Which is bigger: -334276 or -334279? -334276 Which is greater: 54 or -1566? 54 Is 359271 equal to 359270? False Is -93428/15 < -6228? True Which is smaller: 18993 or 19003? 18993 Is 2/55 greater than 2577? False Which is greater: -3 or 1/37792? 1/37792 Which is smaller: 128.585 or -1? -1 Do -2/19 and -3606 have the same value? False Which is smaller: 1/47803 or 1? 1/47803 Which is bigger: 27214 or 272151/10? 272151/10 Do -747/187 and 2/3 have different values? True Which is smaller: -236 or -228? -236 Are -29643/2 and 0.07 non-equal? True Is 188 at least as big as 1337? False Which is bigger: -287204 or -287202? -287202 Which is greater: -1/4 or -2218967? -1/4 Do 4 and -121.378 have the same value? False Which is greater: -656474 or -656473? -656473 Which is smaller: 0 or 16/96327? 0 Are 142155/2 and 71077 non-equal? True Is 59 > 13113/227? True Is -1 greater than or equal to 2/351241? False Which is bigger: 517181 or 3103079/6? 517181 Is -2055 at most as big as -2086? False Are -645 and -479 nonequal? True Are -1/10 and 14246 unequal? True Which is smaller: 3926/111 or 36? 3926/111 Which is smaller: -1 or -8/419047? -1 Is 1 less than or equal to 4/764461? False Which is smaller: 0 or 2119? 0 Are 107/121 and 2 equal? False Is -309/4 smaller than 28? True Which is greater: 314020 or 314022? 314022 Which is smaller: -1434/7 or -206? -206 Is 2/80697 at most 1? True Do -1 and -1515/2576 have different values? True Is 16603 less than 16606? True Is 58774 < 58774? False Which is smaller: -3/70 or -383? -383 Is -2257 less than -2114? True Are -61 and -4038/67 non-equal? True Are -4 and -595066 equal? False Which is smaller: -983 or -981? -983 Is 0 != 9/140227? True Is 1 greater than or equal to 2/401347? True Which is smaller: -273 or -1920/7? -1920/7 Is -64 bigger than -3987? True Is -209 < -27903? False Is -8/86881 at least 1? False Which is bigger: -8 or 120233? 120233 Is -479 > -474? False Is 3103443 bigger than 3103442? True Which is smaller: -3/144380 or -1? -1 Is 83167 less than or equal to 83168? True Is -66 less than -3279/50? True Which is smaller: 635497 or -0.1? -0.1 Are 1 and 2/193189 nonequal? True Do 2/802015 and 1 have different values? True Which is smaller: -10396 or 0.1? -10396 Are 93 and 93 equal? True Which is greater: -107/466 or 1? 1 Which is smaller: 125124 or 125123? 125123 Which is smaller: -764135 or 4? -764135 Are -987685/9 and -109742 unequal? True Which is smaller: -1 or 3/117554? -1 Is 1 greater than -6/1411? True Which is smaller: -13231 or 134? -13231 Is 376/1009 at most as big as 0? False Which is greater: 34671/11 or 3153? 3153 Is 2 equal to -0.05594? False Is -277068 equal to 0? False Which is bigger: -131/6845 or -1? -131/6845 Are -1 and -990/89 equal? False Is -5368 less than or equal to 5? True Which is greater: -1/3513043 or -1? -1/3513043 Which is smaller: -206 or -211? -211 Are -173 and -166 non-equal? True Is -8142 at most -8116? True Do -3 and -4400 have the same value? False Which is smaller: 425/438 or 2? 425/438 Is 0.043 greater than or equal to -2/4217? True Which is greater: -1 or -8/33269? -8/33269 Which is smaller: -1 or -846/1349? -1 Is -1617 <= -6? True Which is smaller: -7386971 or -7386970? -7386971 Which is smaller: -2400 or 1909? -2400 Which is smaller: 56983 or 57051? 56983 Is 1 less than 2105/1044? True Which is smaller: 1089352/39 or 27931? 27931 Which is smaller: -112387 or -112390? -112390 Is 3132 > 2670? True Which is bigger: -3253 or -3252? -3252 Is 223308 <= 223311? True Which is smaller: -973/1201 or -1? -1 Is -714 < -32? True Is 317812 at least as big as 317814? False Are -1.265 and 8 non-equal? True Is -4305 >= -4305? True Is -66 bigger than 148? False Which is smaller: -51/17455 or 1? -51/17455 Is 0 bigger than 7/1060158? False Are 5021/3 and -1/6 unequal? True Which is bigger: 362966 or 362965? 362966 Which is bigger: -0.1 or 5.9316? 5.9316 Does 13857 = -35? False Is 116/12887 > 1? False Is -4054 at most as big as -52706/13? False Is -34.46 smaller than 360? True Which is greater: 3620 or 3637? 3637 Is 879 at least 113? True Does 68225 = 68246? False Is -2.5 at most as big as 466? True Which is smaller: 7796 or -0.3? -0.3 Is -274218 less than -274220? False Which is bigger: -2552 or -2586? -2552 Is -187/3029 at least 1? False Which is smaller: 2197925 or -2/7? -2/7 Which is smaller: -4986 or -40? -4986 Which is bigger: 23/18578 or 1? 1 Is -3/23 bigger than 1506? False Is 1559 less than 1483? False Which is bigger: -10/88453 or 1? 1 Which is smaller: -113661 or -113656? -113661 Which is greater: -9739 or -9743? -9739 Is 260496 != 260501? True Which is smaller: 3 or 13266/145? 3 Does -1 = 2/235367? False Is 0 greater than or equal to -5/41613? True Is -3/17558 bigger than 0? False Which is smaller: 271863 or 271858? 271858 Is 9120 at least as big as 9097? True Which is smaller: -208 or 0.086? -208 Which is bigger: 0 or -94407? 0 Is 675 greater than or equal to 553? True Are 144 and -31372 equal? False Is 3097 < 19? False Do 0.1 and -119389 have the same value? False Is 37911 greater than 37912? False Is -124906 at least -874334/7? False Are 1 and -21/22711 equal? False Which is bigger: 1 or 41/157? 1 Which is greater: -1/2 or -75778? -1/2 Which is smaller: -2 or -642/479? -2 Is 17360 greater than or equal to 8.5? True Are 51/82 and 2 unequal? True Which is bigger: 217619 or 217615? 217619 Is 1 >= 21/13996? True Is 19/39 at most 7/2? True Which is bigger: 2005 or 100? 2005 Which is greater: 124 or 3926? 3926 Is -8/21 != -840? True Which is greater: 3771 or 3772? 3772 Is 0 greater than -10/1302257? True Is -0.059 <= -551? False Which is bigger: -273347 or -273346? -273346 Which is smaller: 318509 or 318512? 318509 Are -88/14051 and -1 non-equal? True Is 1/433894 > -1? True Which is smaller: 3 or 2016/479? 3 Is -7.21 at least as big as -330? True Which is smaller: -38637 or -38636? -38637 Does 0 = 1/10607900? False Is -3165764 at most as big as -3165763? True Is -38522 < -38522? False Which is smaller: 107/94604 or -1? -1 Which is bigger: -200 or -820? -200 Is -11065 bigger than -11068? True Which is smaller: -0.11 or -920? -920 Which is smaller: -842250 or 1? -842250 Which is smaller: -5/6 or 3827? -5/6 Are 227458 and 227458 non-equal? False Which is smaller: 1 or 732/379? 1 Which is greater: 666337/5 or 133268? 133268 Which is smaller: -50779/5 or -10157? -10157 Which is greater: -6284/7 or -10? -10 Are -5/57 and 181 equal? False Is 98916 > 98915? True Are -644 and -655 equal? False Which is smaller: 433560 or 433577? 433560 Which is bigger: 0 or 65911.54? 65911.54 Is 12350 at most 12386? True Is 205931 >= 205931? True Is -1 < -349116? False Is -5/663 greater than or equal to -192? True Is 0 bigger than -259/374? True Does 179525 = 0.2? False Which is greater: 8677 or 8675? 8677 Are 181/1042 and 0 nonequal? True Is -1 at least as big as -1/652767? False Which is bigger: 386976/19 or 20366? 386976/19 Is -1853 less than or equal to -37.99? True Which is smaller: -9091 or -9082? -9091 Which is bigger: 36971 or 36967? 36971 Is -31228 less than -8? True Is -1950 at least -1654? False Do 394025 and 394025 have the same value? True Which is greater: 10499/7 or 1499? 10499/7 Is -314476/5 bigger than -62896? True Which is bigger: -126939 or -2/3? -2/3 Which is bigger: -4334 or 1.71? 1.71 Which is bigger: -1 or -2341? -1 Which is smaller: -22612/21 or -1077? -1077 Is -16.609 > 3? False Is -1/17 at most as big as -8/19697? True Which is bigger: 1 or -5/71013? 1 Which is smaller: 259 or 242? 242 Which is greater: 384/31 or 9.43? 384/31 Which is smaller: -698 or 487? -698 Is -142757 <= -142757? True Are -152 and -441 non-equal? True Is 6.58801 > 0.2? True Which is bigger: 1099 or 1092? 1099 Is -12 at most as big as -668/59? True Which is smaller: -554/2027 or 0? -
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from slxxxxxlxjjx. 1/220 Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {f: 2, c: 1, b: 4, d: 4, l: 5}. 3/56 Two letters picked without replacement from cbcb. Give prob of picking 1 c and 1 b. 2/3 Calculate prob of picking 1 i, 1 d, and 1 z when three letters picked without replacement from {d: 1, z: 2, k: 1, u: 1, i: 1, x: 1}. 2/35 Four letters picked without replacement from {f: 6, t: 13}. What is prob of picking 2 f and 2 t? 195/646 Calculate prob of picking 2 x when two letters picked without replacement from mmmpzxzzxzm. 1/55 What is prob of picking 3 r when three letters picked without replacement from {r: 6, x: 13}? 20/969 Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {m: 2, s: 1, a: 2, d: 2, l: 1}. 1/14 What is prob of picking 1 v and 2 k when three letters picked without replacement from ptkhlvltththkhkltl? 1/272 Two letters picked without replacement from {w: 4, e: 10}. What is prob of picking 1 e and 1 w? 40/91 Three letters picked without replacement from {e: 12, o: 6}. Give prob of picking 2 e and 1 o. 33/68 What is prob of picking 2 s when two letters picked without replacement from ssswsiiiws? 2/9 What is prob of picking 3 f and 1 k when four letters picked without replacement from fffkfkfff? 5/9 Three letters picked without replacement from {l: 2, r: 1, i: 1, d: 1, w: 2}. Give prob of picking 2 l and 1 d. 1/35 What is prob of picking 2 w and 2 q when four letters picked without replacement from ssjjswwsjqssqss? 1/1365 Four letters picked without replacement from efbfbebdfbceeffe. Give prob of picking 4 b. 1/1820 Four letters picked without replacement from yxtwg. Give prob of picking 2 x and 2 y. 0 What is prob of picking 4 g when four letters picked without replacement from {g: 6, m: 2, t: 4}? 1/33 What is prob of picking 1 x and 2 p when three letters picked without replacement from xwpvpcxxwspsw? 9/286 What is prob of picking 1 f, 2 z, and 1 v when four letters picked without replacement from wlzvwlfffll? 0 Two letters picked without replacement from rrrkrjk. What is prob of picking 1 r and 1 k? 8/21 What is prob of picking 1 l and 1 e when two letters picked without replacement from iiliekdi? 1/28 What is prob of picking 1 g, 2 m, and 1 b when four letters picked without replacement from {m: 4, b: 3, g: 2}? 2/7 What is prob of picking 1 l and 1 x when two letters picked without replacement from {l: 3, x: 4, h: 1}? 3/7 What is prob of picking 2 j and 1 l when three letters picked without replacement from jjjlljjjjjjjj? 5/13 Three letters picked without replacement from {q: 3, v: 1, p: 3, b: 2, n: 1, g: 1}. Give prob of picking 2 p and 1 v. 1/55 What is prob of picking 2 i and 1 t when three letters picked without replacement from {i: 8, j: 9, k: 2, t: 1}? 7/285 What is prob of picking 2 g and 2 s when four letters picked without replacement from eeegxegeggggsg? 0 Four letters picked without replacement from ysqysqyqssy. What is prob of picking 4 y? 1/330 What is prob of picking 2 d when two letters picked without replacement from {e: 7, t: 2, d: 5}? 10/91 What is prob of picking 2 k and 2 x when four letters picked without replacement from {k: 2, x: 6, g: 10}? 1/204 Calculate prob of picking 4 l when four letters picked without replacement from wlwdwkkzlzklwkwlw. 1/2380 Two letters picked without replacement from jeiebbg. What is prob of picking 2 e? 1/21 Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {h: 3, u: 1, k: 2, l: 6, g: 2}. 18/91 Two letters picked without replacement from pqooppoopq. What is prob of picking 1 o and 1 q? 8/45 Two letters picked without replacement from eneneneeee. What is prob of picking 1 n and 1 e? 7/15 Two letters picked without replacement from yydffdffydfyyfffydyy. What is prob of picking 2 f? 14/95 Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {k: 1, d: 1, i: 1, p: 2, q: 1, e: 1}. 2/21 What is prob of picking 1 j, 1 r, and 1 o when three letters picked without replacement from {n: 3, j: 3, r: 5, o: 1, i: 1, d: 1}? 15/364 Calculate prob of picking 3 r when three letters picked without replacement from {a: 9, r: 9}. 7/68 Two letters picked without replacement from {k: 2, n: 2, u: 1}. Give prob of picking 2 n. 1/10 What is prob of picking 3 i and 1 c when four letters picked without replacement from {i: 9, c: 2}? 28/55 Three letters picked without replacement from xwzhhhhxhlxuxxxh. What is prob of picking 1 l, 1 w, and 1 u? 1/560 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 1, x: 2, a: 1, e: 2, b: 1, d: 7}. 1/13 What is prob of picking 2 r when two letters picked without replacement from pppgrpprsspzppppppus? 1/190 What is prob of picking 3 z when three letters picked without replacement from ttzittzttzz? 4/165 Three letters picked without replacement from ytaytatayaaayayyty. What is prob of picking 2 y and 1 a? 49/272 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {f: 1, i: 5, a: 5}. 1/11 What is prob of picking 1 t and 1 u when two letters picked without replacement from udllutuuutueddddgeld? 6/95 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from duuxduddudxdddud. 3/20 What is prob of picking 2 s when two letters picked without replacement from nggsggsgngsu? 1/22 What is prob of picking 2 m and 2 f when four letters picked without replacement from {m: 4, f: 7}? 21/55 Two letters picked without replacement from {a: 1, k: 1, x: 2, u: 2, f: 2}. Give prob of picking 1 x and 1 u. 1/7 What is prob of picking 2 u when two letters picked without replacement from uuuuusuussuu? 6/11 Calculate prob of picking 3 x when three letters picked without replacement from {m: 1, o: 1, e: 4, y: 2, x: 7, p: 3}. 35/816 Three letters picked without replacement from {q: 3, t: 7, z: 1, r: 4, a: 2}. Give prob of picking 2 t and 1 r. 21/170 Three letters picked without replacement from fzzzkzzvvevezfvz. Give prob of picking 1 v, 1 e, and 1 k. 1/70 What is prob of picking 1 y, 1 h, and 2 b when four letters picked without replacement from pahbapypphhp? 0 Calculate prob of picking 2 i and 1 n when three letters picked without replacement from wwwigwwwwnitiitwttg. 2/323 Calculate prob of picking 1 b, 1 z, 1 f, and 1 w when four letters picked without replacement from {n: 4, w: 3, z: 1, b: 1, v: 6, f: 1}. 3/1820 Calculate prob of picking 1 w, 1 f, and 1 o when three letters picked without replacement from {l: 2, f: 1, o: 1, w: 2}. 1/10 Three letters picked without replacement from qmoqmvoomvmovmot. What is prob of picking 1 m, 1 t, and 1 q? 1/56 Calculate prob of picking 1 q and 3 d when four letters picked without replacement from {q: 6, d: 7}. 42/143 What is prob of picking 3 q when three letters picked without replacement from surqs? 0 Three letters picked without replacement from zzz. Give prob of picking 3 z. 1 Two letters picked without replacement from xoxxxxxxxxoxxox. Give prob of picking 2 x. 22/35 Calculate prob of picking 2 w when two letters picked without replacement from gggwgwgggwguw. 1/13 What is prob of picking 2 o when two letters picked without replacement from twcwvco? 0 Two letters picked without replacement from siwiifh. Give prob of picking 1 s and 1 f. 1/21 What is prob of picking 3 b and 1 j when four letters picked without replacement from {b: 5, j: 3}? 3/7 Three letters picked without replacement from cgvcii. Give prob of picking 2 i and 1 v. 1/20 What is prob of picking 1 s and 1 n when two letters picked without replacement from sssnnsnsnss? 28/55 Calculate prob of picking 1 x and 2 j when three letters picked without replacement from xmjmjmjxjj. 1/6 Two letters picked without replacement from {e: 3, d: 2}. Give prob of picking 2 d. 1/10 Three letters picked without replacement from {h: 1, e: 1, g: 6, s: 1, x: 3}. Give prob of picking 2 x and 1 h. 3/220 Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {r: 1, i: 2, n: 1, s: 2, z: 1}. 1/35 Three letters picked without replacement from fffyyfff. Give prob of picking 3 f. 5/14 Four letters pick
{ "pile_set_name": "DM Mathematics" }
3 Put 2/7, 4/29, 20 in descending order. 20, 2/7, 4/29 Sort 2181, -3, 1/3 in increasing order. -3, 1/3, 2181 Put -515, 3/14, 1, 0.06, 1/4 in descending order. 1, 1/4, 3/14, 0.06, -515 Sort 0.5, 1.21, 1.3, -3, -0.1 in decreasing order. 1.3, 1.21, 0.5, -0.1, -3 Sort -17, -14, -2, 3. -17, -14, -2, 3 Put -4/5, -2, -40, -9/2, -1.03 in increasing order. -40, -9/2, -2, -1.03, -4/5 Sort 5/2096, 0, -3/4, 2/5, -5. -5, -3/4, 0, 5/2096, 2/5 Sort 5, 17/44, 4/11. 4/11, 17/44, 5 Put 8, -459, 4, 19, 5 in decreasing order. 19, 8, 5, 4, -459 Sort -1, 2.41, -2/5, -98, -5. -98, -5, -1, -2/5, 2.41 Put -3, 8, 29, -1, 3, -16 in descending order. 29, 8, 3, -1, -3, -16 Sort -78, 3/5, 1/373 in ascending order. -78, 1/373, 3/5 Sort -6, -1, 153, -4, -5 in decreasing order. 153, -1, -4, -5, -6 Put 4, -4, -257/5 in ascending order. -257/5, -4, 4 Sort 536, 5, 21, 0 in descending order. 536, 21, 5, 0 Put -66, 5, -3, 17, 1 in ascending order. -66, -3, 1, 5, 17 Sort 0, 6, 1/4521 in descending order. 6, 1/4521, 0 Sort 2, -4/7, -76, 3 in descending order. 3, 2, -4/7, -76 Sort 3, -118, -4, -5, -114, 4 in ascending order. -118, -114, -5, -4, 3, 4 Sort 43, 122, 3/8, -0.3 in decreasing order. 122, 43, 3/8, -0.3 Sort 331, 0, -8, 3. -8, 0, 3, 331 Sort -3/2, -1/2, -2/51, -3, 2/5, -1. -3, -3/2, -1, -1/2, -2/51, 2/5 Put -5, 0.4, 0.02, -0.05, -2.32 in increasing order. -5, -2.32, -0.05, 0.02, 0.4 Put 3, 8, 5, -8, 7, -2 in increasing order. -8, -2, 3, 5, 7, 8 Sort -4, -1.6, -2/3, -287, 2/21 in descending order. 2/21, -2/3, -1.6, -4, -287 Sort 2, -9, 682/13, 0.2 in ascending order. -9, 0.2, 2, 682/13 Sort -118354, -24, -3/4. -118354, -24, -3/4 Sort -65, 421, 0, -2 in decreasing order. 421, 0, -2, -65 Sort 0, -1518, -2. -1518, -2, 0 Sort 2/17, -50, -0.149, 0.1. -50, -0.149, 0.1, 2/17 Sort -6, 3.6, -4/9, -0.4, 5, 2. -6, -4/9, -0.4, 2, 3.6, 5 Sort 146, 4, -5, 5, 3 in decreasing order. 146, 5, 4, 3, -5 Sort 1/3, 0.3, -0.0603, -2/3, 1. -2/3, -0.0603, 0.3, 1/3, 1 Put 4/3, 110, 3/5, -2/11, 1/9, 0 in descending order. 110, 4/3, 3/5, 1/9, 0, -2/11 Sort 3, -4, 9, -128 in decreasing order. 9, 3, -4, -128 Sort -17, 6, 4, 407. -17, 4, 6, 407 Sort -1, 7, 8, 3, 0, -4 in descending order. 8, 7, 3, 0, -1, -4 Sort 3, -10, -34, 145, 2 in decreasing order. 145, 3, 2, -10, -34 Sort 1, 197, -38, -4 in decreasing order. 197, 1, -4, -38 Sort 237, 758, 1 in descending order. 758, 237, 1 Sort 83, 5, -4, -2, -5 in ascending order. -5, -4, -2, 5, 83 Put 962, 3, 14, 10 in increasing order. 3, 10, 14, 962 Put 9, -13, -18882 in decreasing order. 9, -13, -18882 Sort 5, -64, 2, 30, -5, 3 in decreasing order. 30, 5, 3, 2, -5, -64 Put 439, -1/4, 0.4, 3212, 2 in ascending order. -1/4, 0.4, 2, 439, 3212 Sort -2, -30, -10, 2, 1. -30, -10, -2, 1, 2 Sort -3, 0, 0.16, 1/148, 0.4 in descending order. 0.4, 0.16, 1/148, 0, -3 Put -98, -12, 22, 3, -4 in decreasing order. 22, 3, -4, -12, -98 Put -1, 8, 5, 4, 33 in increasing order. -1, 4, 5, 8, 33 Sort 2, 1, -2, 3791. -2, 1, 2, 3791 Put 4.144, 3, 0, -2, -3, -7 in decreasing order. 4.144, 3, 0, -2, -3, -7 Put -0.2, -1/2, 1/2, -15/2483 in ascending order. -1/2, -0.2, -15/2483, 1/2 Put -18, 139, 2/3, 0, 4, -4 in decreasing order. 139, 4, 2/3, 0, -4, -18 Put -1, -37, 39, -3, 0, -5 in decreasing order. 39, 0, -1, -3, -5, -37 Sort 244518, 5, -5 in decreasing order. 244518, 5, -5 Put 5, 145, -18, -2 in decreasing order. 145, 5, -2, -18 Sort -10, -4, 8, 28, 4 in ascending order. -10, -4, 4, 8, 28 Sort 104, -1/2, 0, -133/5 in descending order. 104, 0, -1/2, -133/5 Sort -5, 19, 365 in descending order. 365, 19, -5 Sort 17, -4, -34, 5 in decreasing order. 17, 5, -4, -34 Put 2791, 2, -2 in ascending order. -2, 2, 2791 Put 608, 2, 9, 5, 4, 18 in descending order. 608, 18, 9, 5, 4, 2 Put -2/13, 331728, -0.1 in decreasing order. 331728, -0.1, -2/13 Put -2, -2/27, -0.28, -0.3, 2, -6 in decreasing order. 2, -2/27, -0.28, -0.3, -2, -6 Put 3, 1507, -4, 1, 2 in ascending order. -4, 1, 2, 3, 1507 Put -4/7, -0.0531, 1 in decreasing order. 1, -0.0531, -4/7 Put 0.2, -20, -0.1, 3/7, 2, 0.095 in increasing order. -20, -0.1, 0.095, 0.2, 3/7, 2 Sort 2, -4, 5, -4697. -4697, -4, 2, 5 Sort -3, -11, 0, 47, 2, -7 in increasing order. -11, -7, -3, 0, 2, 47 Put -1, 2/5, -4, 1/2, 1.44, -0.01 in increasing order. -4, -1, -0.01, 2/5, 1/2, 1.44 Sort 169, 0, -1182 in descending order. 169, 0, -1182 Sort 133, 6, 5, -42, -5, 1 in decreasing order. 133, 6, 5, 1, -5, -42 Put -2, 0.107, 2.4, -1.4 in increasing order. -2, -1.4, 0.107, 2.4 Put -3.5, -0.0732, 37 in decreasing order. 37, -0.0732, -3.5 Put 144, 0, 1, -3 in decreasing order. 144, 1, 0, -3 Sort -1/4, -25/7, -2/7, -0.4, -1.2 in descending order. -1/4, -2/7, -0.4, -1.2, -25/7 Sort 7, -0.69, 3 in descending order. 7, 3, -0.69 Put -11, 4, -3, -46 in decreasing order. 4, -3, -11, -46 Put 29, 1/9, 4, 25, 16, -2/5 in decreasing order. 29, 25, 16, 4, 1/9, -2/5 Sort 3, 5/1958, -1/11 in decreasing order. 3, 5/1958, -1/11 Put 2, 39, 3, 6, -4 in descending order. 39, 6, 3, 2, -4 Put -1592, 1.4, -18 in increasing order. -1592, -18, 1.4 Put -196, 8, -27 in ascending order. -196, -27, 8 Put -2800, -3/11, -0.01 in ascending order. -2800, -3/11, -0.01 Sort 6, -3, -3671 in increasing order. -3671, -3, 6 Sort 4, -3, -2, -16, 2, -15 in descending order. 4, 2, -2, -3, -15, -16 Sort -566, 3, 4/5, 1/3, -3 in increasing order. -566, -3, 1/3, 4/5, 3 Sort -38, 18, 3. -38, 3, 18 Put 4, 5, 1, -7, 2, -84 in ascending order. -84, -7, 1, 2, 4, 5 Sort -1, 2, 64, -120. -120, -1, 2, 64 Sort 4/5, 0.1, 5, -110/7, 1 in ascending order. -110/7, 0.1, 4/5, 1, 5 Put -12, -2, -18, 2 in ascending order. -18, -12, -2, 2 Sort -1, -18760, -2 in decreasing order. -1, -2, -18760 Sort -2, 5, 15, 6, 12 in descending order. 15, 12, 6, 5, -2 Put -31, -4, -9, 63, 2, 3 in descending order. 63, 3, 2, -4, -9, -31 Put -306, -1, 1 in decreasing order. 1, -1, -306 Sort 3, -2, 163, 11 in ascending order. -2, 3, 11, 163 Put 1062/17, 37, 3/5, -0.1 in decreasing order. 1062/17, 37, 3/5, -0.1 Put 2/11, 2, 887, -1/3 in increasing order. -1/3, 2/11, 2, 887 Sort -4, -1165, 5, 1, 0.3 in decreasing order. 5, 1, 0.3, -4, -1165 Put -12, -1, -2644 in decreasing order. -1, -12, -2644 Put 2.8, 5, 3, -3, 14 in descending order. 14, 5, 3, 2.8, -3 Sort -4/9, 1932, -5/4 in increasing order. -5/4, -4/9, 1932 Put 2, 1, -3, -18, 9, -4 in increasing order. -18, -4, -3, 1, 2, 9 Sort 3, -2, 83, 72. -2, 3, 72, 83 Sort -9, -4, 0, -3, 21 in decreasing order. 21, 0, -3, -4, -9 Put 1, 49, 2279 in descending order. 2279, 49, 1 Put 1481, -82, 4, -1 in ascending order. -82, -1, 4, 1481 Sort 75, 4/43, -4. -4, 4/43, 75 Sort -14, 2, 52, -9. -14, -9, 2, 52 Put 1, 4, 2, -277, -3, -1637 in descending order. 4, 2, 1, -3, -277, -1637 Put 1/91, 0, -5/4, -0.4, 0.6, 3 in ascending order. -5/4, -0.4, 0, 1/91, 0.6, 3 Sort -4/27, -4, -1, 1, 52, 0.07. -4, -1, -4/27, 0.07, 1, 52 Put 4, -4, 1, 3, -22, -7 in increasing order. -22, -7, -4, 1, 3, 4 Put -0.04, 27, -10 in ascending order. -10, -0.04, 27 Sort -4, 2, 92, 34, -1, 1 in decreasing order. 92, 34, 2, 1, -1, -4 Put 58/3, -17, -2/17, -3/5 in descending order. 58/3, -2/17, -3/5, -17 Sort 7, 0, 357, 3, 6, 1. 0, 1, 3, 6, 7, 357 Sort -2, 2, -3670, -4, 22. -3670, -4, -2, 2, 22 Put -4, 184.38, -0.09 in decreasing order. 184.38, -0.09, -4 Sort -1, -47, 0, 1 in decreasing order. 1, 0, -1, -47 Sort 159, -15, 4 in increasing order. -15, 4, 159 Sort 0.8, 5, 50, 61, 3, 0.02. 0.02, 0.8, 3, 5, 50, 61 Put 1, -23, -21, -88 in descending order. 1, -21, -23, -88 Sort -4, 2.847, -2/5, 4/3 in descending order. 2.847, 4/3, -2/5, -4 Sort -5, -31, 10, 5, -2, 2 in descending order. 10, 5, 2, -2, -5, -31 Sort -0.1, 2, -0.3, 2/31, 3, -940 in ascending order. -940, -0.3, -0.1, 2/31, 2, 3 Put 2, 868, -2, -8 in decreasing order. 868, 2, -2, -8 Sort -8, 1/4, 267. -8, 1/4, 267 Sort -17/725, 2, -2 in decreasing order. 2, -17/725, -2 Sort 5, -0.02889, -2/5, -2 in increasing order. -2, -2/5, -0.02889, 5 Put 15, 3, -91, -4, 4 in increasing order. -91, -4, 3, 4, 15 Put -1483, 3, 2, 1/6 in decreasing order. 3, 2, 1/6, -1483 Put 6, 4, -2/61, 55, 0.4 in ascending order. -2/61, 0.4, 4, 6, 55 Put 19, 5, -4, -3, -10, 7 in descending order. 19, 7, 5, -3, -4, -10 Sort 14, 4, 39/7, 0.5, 7.7. 0.5, 4, 39/7, 7.7, 14 Put 5, 266, -2, 3, 2 in increasing order. -2, 2, 3
{ "pile_set_name": "DM Mathematics" }
(a) = a + 9. Let j be s(-5). Suppose -j*x + 8 + 36 = 0. Let h(t) = 7*t - x*t + 4*t + t. Give u(h(z)). 27*z Let t(z) = -z + 18. Let d(c) = -10*c**2 + 32*c + 192. Let n(s) = 3*s**2 - 10*s - 60. Let q(f) = -5*d(f) - 16*n(f). Give q(t(r)). 2*r**2 - 72*r + 648 Let r(z) = 201*z**2 - z. Let p(d) be the first derivative of 39*d**2/2 - 9203. Give r(p(w)). 305721*w**2 - 39*w Let f(j) = 12*j - 928713. Let o(i) = -2*i. Determine o(f(z)). -24*z + 1857426 Let a(m) = -264501094*m. Let z(t) = -t. Calculate a(z(g)). 264501094*g Let r(t) = -987 + 69*t + 987. Let c(d) = 2*d - 18. Let l(x) = x - 8. Let o(q) = -4*c(q) + 9*l(q). Give r(o(w)). 69*w Let m be 41 + -33 - ((1 - 5) + 9). Let t(v) be the third derivative of 0*v**4 - 14*v**2 + 0 + 0*v**m + 0*v + 8/15*v**5. Let i(d) = d**2. Determine t(i(r)). 32*r**4 Let k(o) = -211*o - 2. Let f(b) = 4*b**2 - 1504*b + 1. Determine k(f(j)). -844*j**2 + 317344*j - 213 Let w(f) = -5*f**2 - 6*f + 2. Let l(j) = 18*j**2 + 20*j - 6. Let g(n) = 3*l(n) + 10*w(n). Let i(p) = -35*p. Calculate g(i(x)). 4900*x**2 + 2 Let f(n) = 22398*n**2 + 2. Let l(r) = 15*r. Calculate l(f(s)). 335970*s**2 + 30 Let s(p) = -6*p + 332. Let q be s(0). Let h(j) = -347*j**2 + 13 - 13 + q*j**2. Let v(o) = 7*o. Determine v(h(c)). -105*c**2 Let k(f) = -2*f**2. Let d(j) = j - 56. Let t(y) = -y - 269. Let z(u) = -271. Let b(h) = -5*t(h) + 6*z(h). Let m(i) = 2*b(i) - 11*d(i). Give m(k(o)). 2*o**2 + 54 Let g(v) = -18*v. Suppose 3*w = 5*w - 0*w - 22*w. Let d(f) be the first derivative of -1/2*f**2 + w*f + 19. What is d(g(k))? 18*k Let s(l) = -22*l + 209. Let j(x) = -7*x + 76. Let d(q) = 11*j(q) - 4*s(q). Let r(p) = -p. Determine d(r(v)). -11*v Let p(t) be the first derivative of t**2/2 + 7. Let c(n) = 9941 - 9947 - 3*n**2 + n**2. Give p(c(v)). -2*v**2 - 6 Let u(n) = -n**2 - 6*n - 18. Let q be u(-12). Let h = q - -108. Let d(r) = 6*r**2 - h*r**2 + 10*r**2 - 3 - 3. Let w(c) = 2*c**2. Give w(d(m)). 8*m**4 + 48*m**2 + 72 Let y(q) = 6*q**2. Let w(x) be the first derivative of -29 + 0*x + 7/2*x**2. What is y(w(l))? 294*l**2 Let n(v) = 689*v - 1. Let h(l) = 66325*l**2. Give n(h(u)). 45697925*u**2 - 1 Suppose 0 = 8*f + 48. Let d(p) = 867*p - 187. Let y(c) = 28*c - 6. Let s(q) = f*d(q) + 187*y(q). Let h(j) = 2*j. Calculate s(h(w)). 68*w Let r(u) = -57*u**2 + 475*u + 17. Let s(m) = -19*m**2 + 163*m + 6. Let g(c) = 6*r(c) - 17*s(c). Let i(l) = -2*l. Determine g(i(b)). -76*b**2 - 158*b Let h(m) = 983*m**2. Let y(a) = -73621*a**2 - 73619*a**2 + 147241*a**2. Determine h(y(k)). 983*k**4 Let k(q) = 3*q**2. Let i(m) = 137840878*m. Give k(i(b)). 57000322943432652*b**2 Let h(c) = 31*c - 2. Let b(r) = -143*r + 1. Let u(l) = 162*l - 1. Let a(q) = -b(q) - u(q). Give h(a(v)). -589*v - 2 Let s(q) = -11*q. Let y(t) = 9*t + 9. Let m(b) = 6 - 7*b - 18*b + 33*b. Let x(z) = -6*m(z) + 4*y(z). Determine x(s(v)). 132*v Let r(q) = -5*q**2. Let n(o) = 699757*o. Determine r(n(w)). -2448299295245*w**2 Let c(s) = 4*s + 3. Let q(m) = -1098876*m. Calculate c(q(x)). -4395504*x + 3 Let c(v) = 53*v**2. Let a(l) = -4*l + 2*l + 17*l - 7*l. Calculate c(a(u)). 3392*u**2 Let n(x) = -6*x. Let w(c) = -76*c - 95. Let r(s) = -s - 1. Let z(a) = 285*r(a) - 3*w(a). Let h be z(-1). Let k(f) = 57*f - h*f + f**2. Determine k(n(p)). 36*p**2 Let x(o) = -9*o**2. Let d(n) = -2384719*n. Determine x(d(l)). -51181962380649*l**2 Let u(q) = 4*q**2. Let j(z) = 453664*z**2. Give j(u(s)). 7258624*s**4 Let q(l) = 2*l**2. Let w(u) be the second derivative of 13*u**6/240 - 13*u**4/12 + u**3/6 - 53*u. Let o(n) be the third derivative of w(n). Give q(o(v)). 3042*v**2 Let k(t) = -26*t**2. Let a(s) be the first derivative of 14*s**2 - 1159. Determine k(a(m)). -20384*m**2 Let k = -1710 + 1712. Suppose q + s = -0*q + 7, -20 = -4*s. Let f(g) = -g + 2351*g**k + g - 2347*g**q. Let h(r) = -17*r**2. Calculate h(f(y)). -272*y**4 Let l(f) = 7957218*f. Let q(n) = -n. Give q(l(b)). -7957218*b Let t = -193 - -212. Let y(v) = t*v + 59*v - 48*v + 55*v. Let q(z) = -2*z**2. Give y(q(i)). -170*i**2 Suppose -7*b = -0*b - 14. Let s(x) = -b + 2 - 49*x + 47*x. Let v(z) be the third derivative of z**4/4 + 24*z**2. Determine v(s(t)). -12*t Let w(o) = -24*o - 18904. Let n(p) = 37*p. Calculate n(w(r)). -888*r - 699448 Let u(p) = 3*p - 49. Let o(t) = -10*t**2 + 8*t**2 - 844*t + 844*t. What is o(u(y))? -18*y**2 + 588*y - 4802 Let y(d) = 3*d**2. Let m(b) = -7957384*b**2. Calculate m(y(i)). -71616456*i**4 Let v(y) = -2*y - 45. Let b(f) = f - 15. Let a(x) = -3*b(x) + v(x). Let g(l) = 551*l**2. Determine g(a(t)). 13775*t**2 Let w(n) = 66*n**2 + 3*n - 2. Let b(c) = -2*c**2 - 5*c + 1. Let v(t) = 2*b(t) + w(t). Let j(h) = -4*h**2. Determine v(j(i)). 992*i**4 + 28*i**2 Let l(w) = 9*w**2. Let a(m) = -70*m**2 - m + 1. Let o(t) = -258*t**2 + 5*t + 4. Let i(y) = 4*a(y) - o(y). What is i(l(g))? -1782*g**4 - 81*g**2 Let g(j) = -83*j + 164*j - 83*j. Let f(q) = -7*q**2 + 2*q + 2. Let o(s) = 55*s - 28 + 16 + 31 + 36 - 190*s**2. Let r(k) = 55*f(k) - 2*o(k). Determine g(r(h)). 10*h**2 Let x(b) = 4*b**2 + 24*b + 35. Let s(c) = -c - 6*c + 0*c - 11*c + 17*c. Give x(s(o)). 4*o**2 - 24*o + 35 Let g(x) = 35*x**2. Let v(i) be the first derivative of 9*i**2/2 - 1174. Calculate v(g(o)). 315*o**2 Let v(c) = 13345*c. Let h(w) = 1120*w. Give v(h(k)). 14946400*k Let n(f) = 450*f. Let b(z) = 26*z. Let h(a) = 35*b(a) - 2*n(a). Let s(l) = 5669 + 7*l - 5669. What is s(h(c))? 70*c Let v(q) = -7*q**2. Let w(t) = -t - 3. Let k(g) = 4. Suppose -3*u + 8 + 9 = 2*s, 5*u + 1 = 4*s. Let l(r) = s*w(r) + 3*k(r). What is v(l(y))? -112*y**2 Let k(n) = 5*n. Let l(x) = 197730*x. What is l(k(u))? 988650*u Let f(j) = 18*j + 146. Let h be f(-8). Let t(v) = -4*v - 135. Let y(p) = -2*p - 67. Let g(a) = h*t(a) - 5*y(a). Let m(k) = 2*k. Determine m(g(x)). 4*x + 130 Let n(f) = 229*f - 8. Let o(d) = -2072*d + 74. Let s(k) = 74*n(k) + 8*o(k). Let g(p) = -4*p. Give s(g(b)). -1480*b Let t(c) = 33*c. Let x(y) = -13*y + 12. Let p be (-114)/24 + (-1)/4. Let w(u) = 11*u - 10. Let d(f) = p*x(f) - 6*w(f). What is t(d(b))? -33*b Let u(n) = -2*n**2 + 12*n**2 + 15*n**2 - 24*n**2. Let q(b) = 3*b - 8. What is q(u(p))? 3*p**2 - 8 Let q(d) = -5*d**2. Let x(l) = -77*l**2 - 15 + 18*l**2 + 34 - 19. Determine q(x(b)). -17405*b**4 Let j(g) = 2*g**2 + 3. Let u(y) = -11*y**2 - 20. Let n(z) = -13*j(z) - 2*u(z). Let l(a) = -2*a. Calculate n(l(p)). -16*p**2 + 1 Let g(z) = 18*z**2 - 21*z - 42. Let v(y) = y**2 - y - 2. Let q(k) = -g(k) + 21*v(k). Let m(a) = 1696*a**2. Give q(m(d)). 8629248*d**4 Let q(t) = 7897*t. Let g(d) = -d + 191. Calculate q(g(n)). -7897*n + 1508327 Let g(u) = -50*u. Let w(x) be the third derivative of 0*x**4 + 58*x**2 + 0*x + 0 - 1/30*x**5 + 0*x**3. Calculate g(w(a)). 100*a**2 Let l(u) = 25*u**2. Let t be (-35)/(-15)*18/14. Let g(b) = -484 + t*b - 3*b + 484 + 11*b**2. Calculate g(l(d)). 6875*d**4 Let t(j) = -263*j - 13015. Let u(h) = 4*h + 14. Determine t(u(w)). -1052*w - 16697 Let n(o) = 2*o**2. Let z(w) be the first derivative of -3*w**2 - 93*w + 797. What is z(n(u))? -12*u**2 - 93 Let b(s) = -41223440*s. Let m(k) = -2*k**2. What is b(m(q))? 82446880*q**2 Let n(z) be the second derivative of -3 + 0*z**2 + 0*z**3 - 1/12*z**4 + z. Let c(a) = 0*a**2 - 4*a**2 + 7*a**2. What is n(c(l))? -9*l**4 Let w(b) = -793*b. Let v(s) = -3865*s**2. What is v(w(y))? -2430501385*y**2 Let n(m) = 2*m. Let d(k) = -7*k**2 + 7*k + 42. Let a(i) = 11*i**2 - 9*i - 50. Let r(o) = -5*a(o) - 6*d(o). Determine n(r(q)). -26*q**2 + 6*q - 4 Let j(f) = -2*f**2. Let t(k) be the third derivative of 13*k**4/24 - 43*k**3 - 6125*k**2. Determine t(j(s)). -26*s**2 - 258 Let f(p) = -218 + 161 - 50*p**2 + 57. Let g(v) = -8*v**2. Determine g(f(a)). -20000*a**4 Let l(y) = -138*y**2 + 2*y. Let s(a) = -3 - 12112*a**2 + 3 + 12111*a**2. Calculate l(s(c)). -138*c**4 - 2*c**2 Let c(f) = -3*f + 5. Let z(x) be the first derivative of x**3/3 - 541. What is z(c(v))? 9*v**2 - 30*v + 25 Let x(p) = -21*p**2. Let w(s) be the third derivative of 25*s**4/24 + 2615*s**2. Calculate w(x(h)). -525*h**2 Let y(d) = -d**2 + 8*d. Let x be y(7). Suppose 0 = 9*j + x - 61. Let c(k) = -j*k + k + 6*k. Let b(t) = -8*t. Give b(c(a)). -8*a Let q(x) = -9*x. Let p = -127 + 129. Let z(w) = 9*w**2 - 6*w**p + 3*w**2. Give z(q(l)). 486*l**2 Let p(m) = -40554*m - 191. Let y(w) = 21*w. Calculate y(p(k)). -851
{ "pile_set_name": "DM Mathematics" }
s a prime number? True Suppose -5*b + s = -23, 4*b + s = -0*s + 22. Suppose 0*r - 20 = -b*r. Suppose r*q - h = 483, -h - 2*h + 3 = 0. Is q prime? False Let m = 10 + 45. Let c = m - -21. Let k = c + -39. Is k a composite number? False Suppose -3 = t + z, -5*t - 3*z + z = 6. Suppose 6 = -4*m + 22. Suppose -q - b = -49, -198 = -t*q - m*q - 3*b. Is q prime? False Suppose 153 = 2*d + 5*q, -2*d + 5*q + 143 = -0*q. Is d a prime number? False Let o(k) = 13*k**3 + k**2 - 5*k + 3. Let h be o(3). Let w = h - 25. Is w prime? False Let s(c) = c**3 - 4*c**2 - 5*c - 5. Let f be s(5). Let i = 3 + f. Let z = 39 + i. Is z prime? True Suppose -2*x = 3*z - 13, 4*x + 0 + 4 = 4*z. Let u be x/(-9) + 195/27. Suppose -5*w = 3*r - 247, -u*r = -2*r - 3*w - 389. Is r a composite number? False Suppose -181 = -3*x - 2*x - t, -178 = -5*x + 2*t. Let h = 169 + x. Is h a prime number? False Let i(q) = -q. Suppose -3*g = -l + 12, -g - 3 = l + 1. Suppose l*h - 28 = 4*h. Is i(h) prime? True Is ((-55)/(-10))/(2/52) a composite number? True Let w be 44/7 - 6/21. Suppose -2*g - 3*g = -4*n + 4, 20 = 5*g. Is 128/n + (-2)/w a composite number? True Let s(u) = 2*u**3 + 3*u - 3. Let g(d) = d - 7. Let c be g(9). Let a be s(c). Suppose -x + a + 1 = 2*q, x + 3*q = 25. Is x prime? False Let l = 6 + -5. Let g be (2/(-4))/((-2)/52). Is g + (0 - l)*0 composite? False Let b(y) = 6*y**2 + y + 2. Is b(-9) a composite number? False Is (-773)/(-4) + (-24)/(-32) composite? True Suppose 4*k + 4 = 4*n, n + 0*k = -2*k + 7. Suppose -5*f + l = 2*l - 40, -2*f + n = 3*l. Suppose -f - 173 = -2*h. Is h prime? False Suppose -m - 4*m = 2*j + 14, -3*j = -5*m - 29. Suppose k - 1 = 0, -j*k + 72 = 5*n - k. Is n a prime number? False Suppose 0 = 3*g + 12, 2*g - 72 = 2*x - 310. Is x a prime number? False Let o(h) = 791*h**3 - h**2 - h + 1. Let b be -4*(18/(-8) + 2). Let d be o(b). Suppose 0 = 2*m + c + 2*c - 337, 0 = 5*m - 3*c - d. Is m a composite number? True Suppose 2*z - 54 = -0*z. Suppose s - z = -4. Is s a prime number? True Let i(s) = 2*s. Let l(q) = -q**2 - 3*q - 1. Let m be l(-2). Let p be i(m). Let g = 5 - p. Is g a composite number? False Let g be ((-4)/6)/((-10)/(-45)). Let f be (-1)/g*(2 - -1). Is (-3 - (-41)/1) + f a composite number? True Let k(c) = -3*c**2 + 3*c + 13. Let v(f) = -4*f**2 + 4*f + 12. Let u(x) = 5*k(x) - 4*v(x). Is u(9) a prime number? True Is 2778 - (0/(-3) + 1) a prime number? True Suppose -4*t = -7*t + 180. Suppose -h + 175 = t. Suppose 0*u - h = -u. Is u prime? False Let v(a) = 2*a**2 + 4*a + 5. Let c = -16 + -4. Let r be 34/(-8) + (-5)/c. Is v(r) prime? False Let c = 3835 - 2280. Is c a prime number? False Let g(p) = 5*p**2 + 4*p + 6. Let y be g(-4). Let o = 35 - 66. Let l = o + y. Is l a composite number? True Suppose -4*z = -3*z + 88. Let r = z + 134. Is r prime? False Let s = 4 - 4. Suppose s*o + 2*o - 2*g = 26, -8 = -4*g. Let a = 52 - o. Is a prime? True Suppose -966 = -5*x + 2*y, 5*x - 7*x - 2*y = -392. Is x prime? False Let c(m) be the third derivative of -m**6/120 + m**5/10 + 3*m**4/8 - m**3/2 - 3*m**2. Is c(7) prime? True Suppose 8*z - 10 = 3*z. Suppose 4*m = -m + z*r + 723, -4*m = r - 568. Is m a composite number? True Let v = 118 + -39. Is v composite? False Let n be (-15)/10*8/(-3). Suppose n*f + 18 = -p, 2*p = -2*f + 6*f. Let w = 59 - p. Is w prime? False Let b(d) = 15*d**2 + 2*d + 1. Let o be b(2). Suppose -3*k - 58 = -5*y - 3, 5*y - o = 5*k. Suppose 38 = 5*n + y. Is n a prime number? False Suppose 0 = 2*a + 2*a + 4*b, 2*a - 3 = -5*b. Let u be -1 - 1 - (a + -1). Suppose u = 3*d - d - 28. Is d composite? True Suppose -698 = -2*i + 4*i. Let l = 554 + i. Is l a prime number? False Is 2 - (278*9)/(-6) a prime number? True Suppose c + 4*v + 1921 = 0, -3*c - v = -8*c - 9521. Is c/(-21) - (-6)/21 a prime number? False Let f = 6506 - 4533. Is f prime? True Suppose 0 = 5*g - 20 - 0. Suppose 5*w - 549 = c + 2*c, -3*w = g*c - 341. Suppose 2*s + w = 5*n + 3*s, 0 = -n + 2*s + 31. Is n a composite number? False Let v(y) = -7*y**2 + 2*y - 4. Let w(d) = 15*d**2 - 5*d + 9. Let r(p) = -5*v(p) - 2*w(p). Is r(3) a composite number? False Suppose 3*r + 5*k - 7 = 9, -5*r - 3*k + 16 = 0. Suppose r*b + 300 = 4*u - 2*b, -2*u - b = -156. Is u prime? False Let a be 6/10 - 12/20. Suppose a = -i - 2*i + 66. Is i composite? True Let t(r) = r**3 - 3*r**2 + r - 2. Let h be t(5). Is h*3*(-2)/(-6) a composite number? False Suppose -5*y + 5 = -0*y. Is 81 - 2*(0 + y) composite? False Let a(r) = -r - 1. Let m be a(0). Is 2 + (4 - 45)*m a prime number? True Let c(a) = -a**3 - a**2 - a + 1. Let m(t) = 2*t**3 - t**2 + 7*t. Let s(r) = 3*c(r) + m(r). Is s(-6) composite? True Let h = 1 + 3. Suppose 15 = 3*g, h*g - 75 + 429 = 2*w. Is w prime? False Suppose 11 = 2*u - 7. Let a(b) = b**3 - 9*b**2 - 4*b - 6. Let q be a(u). Let h = 79 + q. Is h a composite number? False Suppose n + 399 = -4*t + 4*n, 2*t = -5*n - 193. Let p = 316 + t. Is p prime? False Let i(b) = -2*b**3 + b**2 + b + 19. Is i(0) composite? False Let d be (0 - -7)*2/7. Let a(x) = 88*x + 1. Is a(d) prime? False Let k(g) = -4. Let u(q) = 1. Let h(o) = k(o) + 5*u(o). Let v(a) = 5*a - 9. Let b(t) = -4*h(t) - v(t). Is b(-6) prime? False Suppose 4*t = 2*t + 10. Suppose 3576 = t*m + 1241. Is m prime? True Let f = 1646 + -880. Suppose 0 = 7*a - 2*a + l - 10, -22 = -4*a + 2*l. Suppose 0*d - f = -5*u + a*d, 0 = -3*u - d + 468. Is u a composite number? True Suppose t + 6 = 3*t. Let b(w) = w + 6. Let f be b(-8). Is t/f*8/(-3) a prime number? False Let o = -22 + 28. Suppose 4*w - p + 4*p - 203 = 0, 3*w = -5*p + 166. Let t = w + o. Is t a composite number? False Suppose 3*y = o - 303 - 53, -2*y - 1780 = -5*o. Suppose -6*v + o = -2*v. Is v a prime number? True Let z(o) = 4*o**2 + 1. Let b be z(-1). Suppose -5*i - 34 = -2*x + 279, 0 = -3*x + b*i + 462. Is x prime? True Let w(h) = -h**2 - 5*h + 4. Is w(-3) prime? False Let j be -25*(-12)/(3 - 1). Suppose 5*d + j = -5*u + 450, -150 = -3*u + 3*d. Suppose -3*b + 0*f + f + 46 = 0, 0 = 4*b + 5*f - u. Is b a composite number? True Suppose -4*j = -3*s - 16, 5*s + 0*s = 2*j - 8. Suppose 0 = 2*t - s*t - 74. Is t a composite number? False Let a(r) be the third derivative of -r**5/60 + r**3/3 - r**2. Let y be a(0). Suppose -3*m - y*m = -55. Is m a prime number? True Suppose 2199 - 6811 = 2*r. Is r/(-30) + 4/30 prime? False Let y be (-1 - 2) + (-7)/(-7). Let d(r) = 33*r**2 + 4*r + 3. Is d(y) composite? False Let n = 0 - -10. Let o(k) = -k**3 + 11*k**2 + k + 1. Is o(n) a prime number? False Let m = 9 - 6. Suppose -29 = 3*c - 5*c - m*l, 4*c = -l + 43. Is c a composite number? True Suppose y + 0*y = 21. Suppose y = 3*p - 0*p. Suppose p*z - 155 = 2*z. Is z composite? False Suppose -4*k - 1465 = -3*m - 2*k, -k + 1477 = 3*m. Suppose 4*n - 273 = m. Is n a composite number? False Suppose -5*h = -25 + 5. Suppose 4*v = -v - 5*z + 370, -5*z = -h*v + 251. Is v a composite number? True Suppose 639 = -2*q + 5*q. Suppose -2*n = -5*n + q. Is n a composite number? False Let i(a) be the second derivative of a**4/2 - a**3/6 + a**2/2 - 2*a. Let f = 1 - -1. Is i(f) prime? True Is (-2419 + (-4 - -6))*3/(-3) composite? False Suppose 0 = -x - v + 3, 0 = 3*x - 3*v + 2 + 19. Let n be ((-4)/3)/(x/3). Suppose n*w + w - 222 = 0. Is w a prime number? False Let y(h) be the second derivative of 3*h**5/20 - h**4/6 + h**3/3 - h**2/2 - h. Is y(2) prime? True Let x(c) = -5 - 5*c - c + 2. Let j be 3/2 + 22/(-4). Is x(j) prime? False Let l = 4 - 2. Suppose -2*z + 392 = 3*z + b, l*z - 3*b = 167. Is z prime? True Suppose -2*a + 428 = -266. Let l = 550 - a. Is l a prime number? False Is 3 + (-4)/1 + 128 prime? True Let q(y) = y**3 + y**2 - 4*y - 9. Is q(11) composite? False Let x = -4 - -7. Suppose -a + x + 0 = 0. Suppose 5*g + 2*w - 195 = 0, a*g + 3*w - 2*w = 116. Is g prime? True Is (-8)/(-44) - (-166383)/77 composite? False Suppose 3*i - 3327 = -3*a, 2818 = 4*i - 5*a - 1636. Is i a composite number? True Suppose 2*q + 9 = r, -5*q - 17 = 3*r - 0*q. Let x = -1 - -3. Let n = x + r. Is n composite? False Let h = 2 - 5. Let b be (-4)/6*(-9)/h. Is 3/b*318/(-9) prime? True Let f(s) be the second derivative of -11*s**5/20 - s**4/12 - s**2/2 + s. Is f(-2) composite? False Let f(i) = 506*i - 1. Is f(2) prime? False Suppose o = a + 1, 0 = -4*a + a + 4*o - 4. Let h(w) = 15*
{ "pile_set_name": "DM Mathematics" }
2)*-1 - ((sqrt(1008) - (sqrt(1008) + 0 + sqrt(1008)))*-5 + sqrt(1008) + (sqrt(1008)*-1 - sqrt(1008)) + 5))**2. 1848*sqrt(7) + 49513 Simplify (sqrt(891) - (1 + -2*sqrt(891)) - sqrt(891))**2 - ((sqrt(275)*-2)**2 + 4). -36*sqrt(11) + 2461 Simplify -2*((-2*(sqrt(175) + (-1 + sqrt(175))*3))**2 + (-1*sqrt(175)*1 + sqrt(175) + (sqrt(175) - sqrt(175)*1)*4)**2). -22472 + 960*sqrt(7) Simplify 2 + ((sqrt(36)*1)/sqrt(12) - (sqrt(3) + -2)*1). 4 Simplify -5*4*(sqrt(15)/sqrt(5)*-3 - (sqrt(27) + sqrt(3))*-2)**2. -1500 Simplify 5 + sqrt(98) + (1*sqrt(98))**2 + ((sqrt(4) - sqrt(64))/sqrt(2))**2 + -5. 7*sqrt(2) + 116 Simplify 5*(-3 + 1 + -4 + sqrt(272)*-3). -60*sqrt(17) - 30 Simplify ((-5*sqrt(400))/(5*sqrt(125)))**2. 16/5 Simplify ((sqrt(104)*1)/sqrt(8) + 3)**2 - (-4 + sqrt(65)/(3*sqrt(5) + sqrt(5) - sqrt(5))). 17*sqrt(13)/3 + 26 Simplify (((4*(sqrt(171) - (sqrt(171) + sqrt(171)*-2 - sqrt(171))) - sqrt(171))*4)/((sqrt(576) + (sqrt(576) - -1*sqrt(576) - sqrt(576)))*-6))**2. 2299/576 Simplify (sqrt(15)/((sqrt(5) - (sqrt(125) + sqrt(5)))*5 + sqrt(5) + sqrt(5)) + (-1 + sqrt(3))*1 + sqrt(147) + 1)**2*-3 + 5. -298756/529 Simplify (sqrt(171) + -3*(sqrt(171) + (sqrt(171)*-3 + sqrt(171) - sqrt(171))))/(sqrt(324)*-1 + sqrt(9) - sqrt(9)). -7*sqrt(19)/6 Simplify (sqrt(252)/(sqrt(9) - (sqrt(324) + sqrt(9))))/(sqrt(64)*-5 + sqrt(4)). sqrt(7)/114 Simplify (4*(sqrt(6)/(sqrt(18) - sqrt(2)) + 2*sqrt(3)*6) - (-3 + 1*(sqrt(3) + 1) + 1))**2. 98*sqrt(3) + 7204 Simplify ((2 + sqrt(125) - (-4 + sqrt(245)))*6)**2. -864*sqrt(5) + 2016 Simplify 0 + 0 + sqrt(175) + 0 + (sqrt(112) + -1*sqrt(112) - (sqrt(35) - sqrt(315))/sqrt(5))**2. 5*sqrt(7) + 28 Simplify sqrt(187)/(sqrt(22)/(sqrt(2) + sqrt(14)/sqrt(7))) + -1*sqrt(136)/sqrt(2). 0 Simplify (((3 + -2*sqrt(1872) - (sqrt(1872) + -1)*-5) + 4)*1)**2. 144*sqrt(13) + 16852 Simplify -2 + (-6*(-5 + ((sqrt(2299) + (sqrt(2299) - 1*sqrt(2299)))*-3 - sqrt(2299)) + (1*sqrt(2299) + sqrt(2299))*5))**2. -23760*sqrt(19) + 2980402 Simplify (-4*(sqrt(108) + -2))**2 + 0 + sqrt(12)*-4. -392*sqrt(3) + 1792 Simplify ((sqrt(700) + (sqrt(700) - (sqrt(700) - sqrt(700)*2)) + sqrt(280)/(sqrt(160) + sqrt(10)) + sqrt(28))/(-1*-3*sqrt(144)))**2. 567/100 Simplify (-4 + ((sqrt(30)*2)/sqrt(10)*-3 - sqrt(36)/((sqrt(72)/sqrt(3))/sqrt(2))))**2. 56*sqrt(3) + 163 Simplify 4 + (5 + sqrt(363)*2 + 4*sqrt(108))**2. 460*sqrt(3) + 6377 Simplify -4*(sqrt(180) + (sqrt(180) - (sqrt(180) + sqrt(180)*-1)) + sqrt(180) + 4 + 4)**2. -6736 - 1152*sqrt(5) Simplify ((sqrt(143) - (sqrt(143) - ((sqrt(143)*-1 - sqrt(143))*-2 + sqrt(143) + sqrt(143) + sqrt(143))))/((sqrt(66)/sqrt(3))/sqrt(2))*3)**2. 5733 Simplify (sqrt(16) + sqrt(1296)*3)/(sqrt(8) - sqrt(512)*1). -4*sqrt(2) Simplify 2 + ((sqrt(350)/(sqrt(14)/sqrt(2) + sqrt(7)))/sqrt(10))**2 + 0 + (-1 + sqrt(405) + 1)**2. 1633/4 Simplify 0 + sqrt(27) + (sqrt(3) - (-2*sqrt(147) - sqrt(147))**2) - (sqrt(3)*2 + -3 - (0 + sqrt(3)*-2)). -1320 Simplify (-2*(-2 + sqrt(931)) - 3*sqrt(931)*-3)*4*5. 80 + 980*sqrt(19) Simplify ((sqrt(4) + sqrt(24)/sqrt(6) - sqrt(4))/sqrt(2) + sqrt(2) + sqrt(288)*-1)**2 - (sqrt(242) + (3 + sqrt(242))**2 - sqrt(2) - sqrt(14)/(sqrt(7)*3)). -227*sqrt(2)/3 - 51 Simplify ((sqrt(88) + sqrt(88) + (sqrt(88) - 1*sqrt(88)*-4) + sqrt(88))/((sqrt(2352) - sqrt(48))/sqrt(6)))**2*-3. -176/3 Simplify 6*((5*(sqrt(204) - (sqrt(204) + sqrt(204)*-2 + sqrt(204))) - sqrt(204))*-5)/(-4*sqrt(1200)*2). 3*sqrt(17)/2 Simplify ((-5*-6*sqrt(700))/(1*sqrt(144)*5 - sqrt(144)))**2. 4375/16 Simplify 6*((sqrt(2299)*1*3)**2 + sqrt(2299)) + 6*(sqrt(19) + -2)**2 + 3 + sqrt(57)/sqrt(3). 43*sqrt(19) + 124287 Simplify (sqrt(2904)*-1)/(sqrt(16)/sqrt(2)*1) + 3. -11*sqrt(3) + 3 Simplify (5*(-4 + 5 + (sqrt(720) - sqrt(720)*-2) + 5 + 1 + sqrt(720)))**2. 16800*sqrt(5) + 289225 Simplify ((sqrt(126) + sqrt(126)*1 + sqrt(126))*1)/(sqrt(56)/(sqrt(8) - 2*sqrt(8))*5). -9*sqrt(2)/5 Simplify (0 + (4 + 0 + sqrt(68) - (-4 + sqrt(68)*-3)) + 1)**2. 144*sqrt(17) + 1169 Simplify ((-2*sqrt(304)*6*-6 + -2)*3)**2. -10368*sqrt(19) + 14183460 Simplify 1 + (-1 + sqrt(125) + -3)**2 + ((1 + sqrt(125))*6)**2. 320*sqrt(5) + 4678 Simplify sqrt(425) + (sqrt(425) + sqrt(425)*-4 - sqrt(425))**2 + -4 + 3 + (-1*(sqrt(425) + 1 + sqrt(425) + 5))**2. 125*sqrt(17) + 8535 Simplify (sqrt(420)/((sqrt(12) - sqrt(48))*-4))/((1*sqrt(35))/sqrt(7)*-5). -sqrt(7)/20 Simplify 0 + -3*(sqrt(2) - sqrt(72)*6 - (3 + sqrt(98))). 9 + 126*sqrt(2) Simplify -4 + -6*(-1 + sqrt(125) + -2) + 0 + 3. -30*sqrt(5) + 17 Simplify (-1 + 4*4*(sqrt(108) + 2)*1)**2. 5952*sqrt(3) + 28609 Simplify (4 + -4*3*sqrt(3) + 1*(sqrt(3)*-5 - sqrt(3)) + -4)*-3. 54*sqrt(3) Simplify (((sqrt(162) + (sqrt(162) - (sqrt(162) - (sqrt(162) + sqrt(162)*-2))))*2)/(-1*sqrt(18)/sqrt(2)))**2. 0 Simplify (2*sqrt(121)*-6 + sqrt(121) + (sqrt(121) - 2*2*sqrt(121)) + sqrt(121))/(-5*(-2*sqrt(891) - sqrt(891))). -13*sqrt(11)/135 Simplify 6*1*sqrt(19) + -3 + 1 + (-1*sqrt(1539) + -3 + 2)**2. 24*sqrt(19) + 1538 Simplify (((sqrt(200) - (sqrt(200) + 0 + sqrt(200))) + sqrt(200) + -4 - (0 + sqrt(200))*-6)**2 + -1*4*(sqrt(200) + sqrt(200)*1))*-2. -14432 + 1120*sqrt(2) Simplify (sqrt(6897)*-1)/(sqrt(3) + 2*sqrt(363)) + 4. -11*sqrt(19)/23 + 4 Simplify -5*6*(sqrt(80) + sqrt(80) + -5 + 2) + 2. -240*sqrt(5) + 92 Simplify (5*-2*sqrt(102))/(sqrt(60)/sqrt(160)) + 1 + (3*2*sqrt(2448))**2. -40*sqrt(17) + 88129 Simplify 2*(-3*((1*sqrt(192) + sqrt(192) - sqrt(192))**2 + sqrt(192)) + -1). -1154 - 48*sqrt(3) Simplify (((sqrt(55)*6)/sqrt(11) + sqrt(5) - -1*(sqrt(5) + sqrt(20)/sqrt(4))) + 4)**2. 72*sqrt(5) + 421 Simplify (sqrt(88) + -6*sqrt(88)*-2 + sqrt(88) + (-1*sqrt(88) + sqrt(88))*-3)/(((sqrt(336)*-2)/sqrt(6) - sqrt(56))/sqrt(7)). -14*sqrt(11)/3 Simplify -1*(sqrt(102) + 5*-3*sqrt(102))/((sqrt(72) - sqrt(72)*6)/sqrt(12)). -14*sqrt(17)/5 Simplify -3*(sqrt(91)/(-1*sqrt(7)) + 1 - ((sqrt(91) + (2*((sqrt(91) + -3*sqrt(91) + sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91)) - sqrt(91)))/sqrt(7))**2). 3*sqrt(13) + 621 Simplify 5*((-4 + (sqrt(648)*2 - sqrt(648)))**2 + 5). -720*sqrt(2) + 3345 Simplify -6*(sqrt(33)/(sqrt(11) + (sqrt(11) - (sqrt(11) - (4*sqrt(704) + sqrt(704)))))*6 + 0). -36*sqrt(3)/41 Simplify 5 + (sqrt(77)/(sqrt(56)/sqrt(8)) + sqrt(11) - (5 + sqrt(11) + -4)). sqrt(11) + 4 Simplify ((sqrt(1200)*-1 + 4)**2 - (-3 + (sqrt(1200) - (1 + sqrt(1200))))**2)*-6*3. -21600 + 2880*sqrt(3) Simplify (-2*1*sqrt(1936))/(sqrt(200) + (sqrt(200) + -3*sqrt(200)*-2 - sqrt(200))). -22*sqrt(2)/35 Simplify 6*(2 + sqrt(475) + sqrt(475) + (sqrt(475) + -1 - sqrt(475))) + 0 + 4*1*sqrt(475) + sqrt(475). 6 + 85*sqrt(19) Simplify (sqrt(100)*1 - -5*sqrt(100)/sqrt(4))/(sqrt(5) + sqrt(55)/(sqrt(33)/sqrt(3)) - (-1*(sqrt(20) - sqrt(5) - sqrt(5)) - sqrt(5))). 7*sqrt(5)/3 Simplify 2*((sqrt(117) + 2)**2*5 - (1*sqrt(117) + -4)) + -2. 114*sqrt(13) + 1216 Simplify ((sqrt(204) - (sqrt(204) - sqrt(204)*3))*-5*2)/((sqrt(120) - (sqrt(120) - (sqrt(120) - -4*-3*sqrt(120))))/sqrt(10)). 30*sqrt(17)/11 Simplify 1 + ((sqrt(170) - (4*sqrt(170)*2 - sqrt(170)))/(sqrt(100)/(sqrt(10) + sqrt(40)/sqrt(4))))**2. 2449 Simplify (sqrt(42) + sqrt(504)/(sqrt(96)/sqrt(8)) + sqrt(42))/(sqrt(726) - sqrt(726)*-3). 3*sqrt(7)/44 Simplify -1*((6*-3*sqrt(5200))**2 + 5). -1684805 Simplify (sqrt(416)*5 - (sqrt(78) + sqrt(78)*-1)/sqrt(3))/(sqrt(128)*2*-2) + 3. -5*sqrt(13)/8 + 3 Simplify (-1 + (sqrt(68) - (-3*2*sqrt(68) + sqrt(68))) + sqrt(68) + sqrt(68)*2 + -1)**2. -72*sqrt(17) + 5512 Simplify (2*sqrt(96)*-1 + sqrt(96))/(sqrt(288)*-2 - sqrt(288)). sqrt(3)/9 Simplify -4 + (0 + (sqrt(1377) - -6*sqrt(1377)*-2 - sqrt(1377)) + sqrt(1377))*4. -396*sqrt(17) - 4 Simplify (2 + ((sqrt(200)*1)/sqrt(4) - sqrt(50) - sqrt(2450)*1))**2. -140*sqrt(2) + 2454 Simplify (sqrt(110)/sqrt(44))/(4*sqrt(80)). sqrt(2)/32 Simplify ((sqrt(19) - (sqrt(19)*-2 + -5)**2) + (1*sqrt(684))**2)*-4*-1. -76*sqrt(19) + 2332 Simplify (sqrt(108)/(sqrt(486)*-3 + sqrt(486) - sqrt(486)))/(sqrt(6) + sqrt(864)*-1 + sqrt(6) - sqrt(726)*-1). -sqrt(3)/27 Simplify ((((sqrt(567) + 1 - sqrt(567)) + 0 + sqrt(567) - sqrt(567)) + sqrt(567) + 0 + sqrt(567) + 3)*-6*2)**2. 20736*sqrt(7) + 328896 Simplify ((-4*(2*sqrt(144) - sqrt(144)))/sqrt(6))/(sqrt(40)/(sqrt(5) - 2*sqrt(5)) - (1*sqrt(64))/sqrt(8)). 2*sqrt(3) Simplify (0 + -6*((sqrt(17) - (2 + sqrt(17)))*4 + 0 + sqrt(153)))**2. -1728*sqrt(17) + 7812 Simplify -3*(-5 +
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 11 and o? 11 Let k be -2*3*28/(-12). Let t = 21 + -14. What is the highest common divisor of k and t? 7 Suppose -64 = 3*t - 7*t. Calculate the highest common factor of 32 and t. 16 Suppose 3*g - 101 = 142. What is the highest common divisor of g and 9? 9 Suppose 4*q - 6*q = -10. Suppose -q*m + 218 + 177 = 5*b, -5*m + 315 = 4*b. What is the greatest common factor of 10 and b? 10 Let f = -15 - -9. Let m(y) = 2*y + 5. Let v be m(f). Let w = 16 + v. What is the highest common divisor of 27 and w? 9 Let f(u) = -46*u**3 - 2*u**2 + 2*u - 1. Let l be f(1). Let r be (3 - 2) + (0 - l). Suppose 0 = q + 2*q - r. Calculate the highest common divisor of q and 40. 8 Let s = 34 + 6. Let r(a) = a**3 + 5*a**2 - 6*a + 4. Let m be r(-5). Let i = m - 18. Calculate the highest common factor of s and i. 8 Let n be (-14)/(-35) + (-954)/(-15) + 0. What is the highest common factor of 8 and n? 8 Let r(c) = c**3 - c + 25. Let i be r(0). Let q = i + -15. Calculate the highest common factor of 60 and q. 10 Suppose -m + 5*m - 22 = -3*s, 2*m - 32 = -5*s. Let u(p) = 10*p + 8. Let b be u(4). Calculate the highest common factor of b and s. 6 Let h be 1/3 + (-460)/(-6). Let o be (6 + 1)*8/14. Let c be (21/6)/(2/o). Calculate the highest common divisor of c and h. 7 Let y(r) = r**3 + 8*r**2 - 2*r - 6. Let m = 24 + -32. Let u be y(m). What is the highest common divisor of u and 1? 1 Let b(j) = -j**2 + 9. Let c be b(0). Suppose -3*u = -4*p + c - 33, u - 3*p - 13 = 0. Calculate the highest common factor of u and 12. 4 Suppose 4*b - 3*b - 37 = 0. Let q = -21 + b. Suppose -q = -4*i + 8. Calculate the greatest common factor of 66 and i. 6 Suppose 20 = o - d, -5*d - 68 = -3*o - 4*d. What is the greatest common divisor of o and 24? 24 Let x(s) = -s**3 + 5*s**2 + 4*s - 17. Let j be x(4). Suppose 3*u = 3*z - 15, 0*u - 26 = -4*z - 2*u. Calculate the greatest common divisor of z and j. 3 Let t = 17 + 48. What is the greatest common divisor of t and 26? 13 Let n be (1 + -2)*(-3 - 17). Calculate the highest common factor of n and 180. 20 Suppose -p = 2*p + 30. Let t be (-4*(1 + -5))/(-1). Let h = p - t. What is the greatest common divisor of 18 and h? 6 Suppose -3*t = 2*t + 4*i - 534, 2*i = -8. Calculate the greatest common divisor of t and 10. 10 Let x = 37 + -19. Suppose 3*b - x - 32 = -5*k, 4*k = -b + 26. Let j = b + -5. Calculate the greatest common divisor of 40 and j. 5 Let i be (-3 + (-35)/(-14))/(1/(-26)). Let w(u) = 23*u + 5. Let c be w(6). What is the highest common factor of i and c? 13 Suppose -4*j + 2*j - 14 = -2*z, -2*z - 2*j = 6. Suppose z*g + 4 - 14 = 0. What is the greatest common factor of g and 5? 5 Suppose 0 = -b + 5*b - 4428. Suppose 5*p = -3*z + 1048, 5*p - b = -z - 61. Calculate the highest common divisor of 19 and p. 19 Let i(c) = c**3 + 5*c + 2. Let t be i(5). Let o be (29/(0 - -1))/(-1). Let v = -10 - o. Calculate the greatest common divisor of v and t. 19 Let w = -17 + 115. What is the greatest common divisor of 14 and w? 14 Let z(a) = -a**3 - 6*a**2 - 4*a + 4. Let r be z(-6). What is the greatest common divisor of r and 4? 4 Let t(c) = -c**3 + 10*c**2 - 14*c - 13. Let v be t(7). Calculate the greatest common factor of 12 and v. 12 Let d(f) = f**3 - 11*f**2 + 10*f + 8. Let w be d(10). What is the highest common factor of w and 88? 8 Suppose -2*f + 5*y = -0 - 6, 5*f + 3*y - 46 = 0. Calculate the greatest common factor of 1 and f. 1 Suppose 38 = -2*b + 2*l - 0*l, 0 = -4*l. Let n = 1 - b. What is the greatest common divisor of n and 50? 10 Suppose 408 = 50*r - 48*r. Calculate the highest common factor of r and 34. 34 Let q(a) = 5*a - 6. Let z be q(4). Let g = 117 - -61. Suppose 0 = y - 2*w - 46, -6*w = 3*y - 4*w - g. What is the greatest common factor of z and y? 14 Let l(a) = -3*a + 5*a - 4*a + 3*a - 1. Let o be l(2). Let s = -8 + 11. Calculate the greatest common factor of s and o. 1 Let i(x) = -3*x - 6. Let d(l) = -2*l - 4. Let u(c) = -7*d(c) + 5*i(c). Let t be u(-13). What is the highest common factor of 11 and t? 11 Suppose 5*z - 2*z = 210. Let u = z - 50. Let n = 50 - u. Calculate the highest common factor of 20 and n. 10 Suppose -2*p - 28 = -0*p. Let u be (-216)/(-21) - (-4)/p. Let c be 476/6 + (-4)/(-6). What is the greatest common divisor of u and c? 10 Let k = -18 - -31. Let s(b) = -12*b - 5. Let r = 9 + -17. Let n be s(r). What is the greatest common factor of n and k? 13 Let z be (-36)/48 - 67/(-4). Suppose 0*p + 5*p - 10 = 0. Calculate the highest common factor of z and p. 2 Let o be (-1)/(-2) + 5/(-10). Suppose -4*d + 60 = -o*d. Calculate the highest common factor of d and 15. 15 Let j = 58 + -34. Suppose 248 = 4*o + 8. What is the highest common divisor of j and o? 12 Suppose 0 = 5*v + 42 - 147. Calculate the highest common factor of v and 49. 7 Suppose 1 = -2*p - 1. Let m = -3 + p. Let h be (-10)/m*8/10. Calculate the highest common factor of 4 and h. 2 Let a be 5 - 48/9 - 122/(-6). What is the greatest common factor of a and 70? 10 Suppose 0 = 5*q - 37 - 18. Suppose -2*r + q = -51. Calculate the highest common divisor of r and 155. 31 Let l be (1 - 4/8) + (-172)/(-8). Let o(i) = 2*i**2. Let j be o(-1). Suppose -j*v = -11 - 11. Calculate the highest common divisor of l and v. 11 Suppose -8*r + 220 = -4*r - 2*u, -3*r + 4*u + 170 = 0. Suppose 3*t - r = 90. What is the greatest common factor of t and 32? 16 Let l be (-384)/(1 + 2) - -2. Let d = -90 - l. Suppose 4*x - 7*x = -d. Calculate the greatest common divisor of x and 3. 3 Suppose 130 = 2*r - 160. Calculate the greatest common factor of 58 and r. 29 Let j = 8 + -3. Let s(t) = t + 5. Let l be s(j). Calculate the highest common divisor of 70 and l. 10 Let q(f) = f**2 - 4. Let t be q(-5). Let b(i) = i**3 + 7*i**2 + 5*i - 3. Let z be b(-6). What is the greatest common divisor of z and t? 3 Suppose -2*f + 6 = -4*o, f + 2 - 5 = -4*o. Let q be 5 + (-3)/6*o. What is the highest common factor of q and 40? 5 Let p(a) = a**3 + 8*a**2 + a - 3. Let m be p(-6). Let y be (-23)/(-3) - (-2)/(-3). What is the highest common factor of m and y? 7 Suppose -14 - 12 = -2*l. Let g = l + -8. Suppose -g*t + 15 = -2*t. Calculate the highest common factor of 2 and t. 1 Let z = -84 + 147. Calculate the highest common divisor of z and 7. 7 Let d = -31 + 40. Calculate the highest common divisor of 27 and d. 9 Suppose -2*b + 274 = b - 2*o, -4*o - 108 = -b. What is the highest common factor of b and 11? 11 Suppose -s = 2*s - 24. What is the greatest common divisor of 4 and s? 4 Suppose 0 = 2*a + 3*a - 300. Let j be ((-8)/(-4))/(2/9). Let c(d) = d**3 - 10*d**2 + 10*d + 11. Let v be c(j). Calculate the greatest common factor of v and a. 20 Let t be (51/(-9))/(2/(-36)). Calculate the greatest common divisor of t and 68. 34 Suppose 0 = 5*q - 3*f - 11, -4*f = 4*q - 2*f. Let p = 0 + q. Calculate the highest common factor of 11 and p. 1 Suppose 9*q - 28 = 4*q + 2*r, 5*q = -3*r + 33. Suppose 0 = m - 2 - q. Let b = -17 + 29. What is the highest common factor of b and m? 4 Suppose n + 1 = -m, -3*m + 7 + 0 = n. What is the highest common factor of m and 12? 4 Let x(l) = -7*l**2 - 37 + l**3 + 41 + 3*l - 4*l + 3*l. Let a be x(7). Let r(h) = -h**2 + 18. Let k be r(0). Calculate the highest common divisor of a and k. 18 Suppose 0 = -2*b - 5 + 49. Let r = 15 + 40. What is the greatest common factor of b and r? 11 Suppose 4*o + 28 = 8*o. Suppose 11*z - 96 = o*z. Let i(f) = 4*f**2 + f - 1. Let x be i(1). Calculate the highest common factor of x and z. 4 Let x(r) be the third derivative of r**4/24 + 3*r**3 - 2*r**2. Let k be x(-11). What is the greatest common factor of 77 and k? 7 Let g(t) = -5*t - 1. Let d be g(-2). What is the greatest common divisor of d and 3? 3 Let s(p) = p**3 - 7*p**2 - 7*p + 2. Let k be s(8). Calculate the greatest common factor of k and 15. 5 Let c be 39*(2/2 + 0). Let q(i) = -i**3 + 3*i. Let o be q(-4). Suppose -3*r = -7*r + o. What is the greatest common factor of c and r? 13 Let d(s) = s**2 + s - 3. Let v be d(-4). Let k = v - 4. Let w be 3 + 2/(-4)*-14. What is the highest common divisor of k and w? 5 Let t(h) = -h**3 - 15*h**2 - 18*h - 22. Let s be t(-14). Calculate the greatest common divisor of s and 85. 17 Let v = -129 + 219. Let p(l) = -l**2 - l - 20. Let f be p(0). Let i = -10 - f.
{ "pile_set_name": "DM Mathematics" }
29. Solve 0*p = -2*p + q for p. 1 Suppose -33 = -4*o - 5*w, 0*o - w = -5*o + 5. Suppose -4*i - o*n = -6, 3*i = i + 5*n + 9. Solve i*q - 3 = 3 for q. 3 Suppose 2*d - 12 = -2*w, 5*w - 32 - 6 = -3*d. Solve w + 2 = 4*v for v. 3 Let z = 5 + -1. Suppose -k + 54 = 2*k. Suppose -2*g - 8 = -4*c, 0 = 2*c + 5*g - k + 2. Solve c*b = b + z for b. 2 Let n(d) = d + 8. Let f be n(-6). Suppose -6*q - 64 = -10*q. Suppose -2 + 2 = -q*r. Solve r = 3*j + f*j for j. 0 Let j(f) = -2*f**3 - 20*f**2 - f - 10. Let t be j(-10). Solve -4*r - 7 - 1 = t for r. -2 Let s be 1/((-5)/((-325)/460) - 7). Solve 21 = 8*c + s for c. 1 Let w = -195 - -197. Solve -w*x - 8 = -4*x for x. 4 Let a = -1 - -6. Suppose -5*x + 75 = a*q, -2*q + 0*x - x + 35 = 0. Solve -2*m - 3*m + q = 0 for m. 4 Let w = -44 + 49. Suppose 4*s - 14 - 46 = 0. Let u(m) = 2*m**2 + 10*m - 7. Let x be u(-6). Solve s + x = w*d for d. 4 Suppose 3*q = -q + 36. Let j(b) = b**3 - 9*b**2 + 3*b - 15. Let w be j(q). Suppose 11*v = w*v. Solve v*n = 2*n for n. 0 Let t(w) = w + 2. Let p be t(1). Suppose 0 = p*q - 3. Suppose -2*u = a + 6, -u - 4 + q = 0. Solve 2*y = -a - 2 for y. -1 Let k(z) = 2*z**2 + 12*z + 5. Let b be (2 + -2 - -3) + -9. Let t be k(b). Solve -12 = t*x - x for x. -3 Suppose -47 + 167 = -5*k. Let y be 1/(k/(-21) + -1). Suppose -2 = 5*r - y. Solve -f + r = -1 for f. 2 Suppose 2*m = -5*m + 63. Let j = 11 + -2. Let z = -5 + j. Solve -z*w - m = 3 for w. -3 Let l = 2 - 1. Suppose 0 = 3*p + w + 3 - 12, 0 = 4*p - 3*w + l. Let k(u) = 183*u + 920. Let h be k(-5). Solve -7 = -h*c - p for c. 1 Let s = 10 - 12. Let g be -2 - (s + 5 + -15). Suppose -2*h - 3*h = 4*r - g, -4*r - 2 = -h. Solve 0 = -h*a + 4*a - 10 for a. 5 Let y = 135 + -131. Solve -2*r = -y*r + 8 for r. 4 Let c(v) = -3*v**2 + 2*v**2 + 3*v**2 + 2*v. Let f be c(-2). Suppose -2*m + 1 + 5 = 0. Solve f*l - m = l for l. 1 Let h(x) = x + 4. Let i(u) = 1. Let r(t) = h(t) - 6*i(t). Let b be r(4). Solve -8 - b = 2*a for a. -5 Let y(d) = -2*d**3 - 42*d**2 - d + 8. Let x be y(-21). Let g = x + -29. Solve 4*p - 20 = -g for p. 5 Suppose 25 = -2*c - 3. Let y = -3 - 4. Let x be 4/c - 2/y. Solve x*d = d for d. 0 Suppose -15*b + 8*b = -28. Solve 7*k + b = 9*k for k. 2 Suppose 2*c - 3*c = 0. Let b(o) be the second derivative of -o**4/12 + o**2/2 + 170*o. Let n be b(c). Solve 4 = -z + n for z. -3 Suppose 6*f + 5 - 65 = 0. Let g(c) = c**2 - 9*c - 10. Let q be g(f). Solve 4 = -q*k - 4*k for k. -1 Let u(c) be the first derivative of c**2 - 10*c + 2. Let o be u(-15). Let y = -37 - o. Solve -2 + 17 = -y*g for g. -5 Suppose -4*b - 2*h = -2, -4*b + 8*b - 2*h + 2 = 0. Let c be (b - -5) + -6 - (-2 - 1). Solve -17 = c*p - 7 for p. -5 Let i = 78 + -76. Solve 18 - 12 = i*z for z. 3 Let o be (1 + 3 - 17)*1. Let v(l) = l**3 + 11*l**2 - 28*l - 11. Let k be v(o). Solve k = -2*n - n for n. -5 Let b(j) = -56*j - 280. Let n be b(-5). Solve -36*f + 37*f + 3 = n for f. -3 Suppose 3*u + 2*x = -22 + 37, 15 = 3*u + x. Let p(v) = 2*v**2 - v - 2. Let o be p(-3). Solve 4 = -u*h + o for h. 3 Let m be (-372)/(-18) + 2/(-3). Suppose -2*j - 4*f = 16, -2*j + j - 5*f = m. Let u be (-12)/12*(0 - j). Solve u = -5*i + i + 4 for i. 1 Let z(n) = 3*n - 1. Let s be z(1). Suppose -s*u + 86 = 40. Let g be u/7 + 36/(-126). Solve -5 = g*p - 2 for p. -1 Suppose -3*s = 4*i + 2*s + 400, -2*s + 500 = -5*i. Let d = 100 + i. Solve 3 = h - d*h for h. 3 Let i(g) = 27*g**2 + 3*g + 3. Let w be i(-2). Suppose -4*c - b = -4*b + 83, w = -5*c + 4*b. Let z = -9 - c. Solve 4*h + 20 = z*h for h. 5 Suppose 23*k - 18*k = 130. Solve 0 = 9*i - k - 19 for i. 5 Let i = -30 - -34. Let j be (69/(-46))/((-1)/i). Solve 0 = 3*h - j*h for h. 0 Let s be 9*((-68)/(-36) - 1). Solve -7*j + 4 = -s*j for j. -4 Suppose 0 = -0*i - 5*i + 20. Suppose 0 = -i*g - 12, -r + 134 = 4*r - 3*g. Solve 8*u = 3*u + r for u. 5 Let c = -95 - -71. Let t be 6*(c/9 - -3)*3. Solve 5*z - t + 1 = 0 for z. 1 Let w be ((-3332)/(-16))/7 + (-2)/(-8). Suppose 4*h - 4*g + 2*g = 50, -h - 3*g + w = 0. Solve -4*a - h - 1 = 0 for a. -4 Let k be (-1 + 2)/(63/9009). Solve 3*d - k + 146 = 0 for d. -1 Let m(g) = 2*g**2 - 3*g - 7. Let b be m(7). Suppose 18*v - b = 4*v. Solve v = -f + 3 for f. -2 Let i(k) be the first derivative of 4 - 1/3*k**3 + 2*k - 17/2*k**2. Let x be i(-17). Solve x*m - 4*m + 8 = 0 for m. 4 Let a be 36 - (-5 - -9)*(-2)/(-8). Solve 3*n + 23 = a for n. 4 Suppose -4*i = -v + 31, 4*v - 26 = -3*i + 41. Let u = -49 - -30. Let w = v + u. Solve -3*j = -w*j + 3 for j. -1 Let s(o) = -8*o. Let h = -54 + 50. Let y be s(h). Solve 0 = -5*p + 7 - y for p. -5 Let k be (-3)/((-18)/(-57))*2. Let t = k + 25. Suppose -q + t*q - 10 = 0. Solve 0 = -q*m - 3*m + 5 for m. 1 Let t(p) be the third derivative of -p**6/60 - 13*p**5/60 + 7*p**4/24 + p**3/3 - 29*p**2. Let j be t(-7). Solve b = j*b - 4 for b. 4 Suppose 0 = -38*z + 1316 + 1230. Solve -60 = 7*f - z for f. 1 Suppose 8*t - 73 = 23. Suppose -4*p + t = -2*p. Suppose 8 = -4*o + p*o. Solve -o = -4*f - 16 for f. -3 Let s(n) = 3*n - 22. Let i be s(8). Suppose 0*m = m - i*x - 6, 3*m - 2*x = 6. Solve m = -0*j - 3*j for j. 0 Suppose 0 + 32 = b - 9*m, -3*b + 4*m = -27. Solve -20 = 10*r - b*r for r. -4 Suppose -y + 64 = a + 15, 9 = -3*a. Solve -v = 12*v + y for v. -4 Suppose -48 = 31*z - 327. Solve z*w - 17 = 1 for w. 2 Suppose 0 = -2*d - 4 - 12. Let j be (-6)/9*(-12)/d. Let m be ((12 + 3)/(-3))/j. Solve -m - 10 = -5*l for l. 3 Suppose -5*p - 25 + 16 = -v, 0 = -2*v - 4*p + 4. Solve 22*s - 54 = v*s for s. 3 Let l(x) = x**3 + 3*x**2 + x - 14. Let m be l(2). Suppose -40 = -b - b. Solve 3*v - m*v = -b for v. 4 Suppose 107 + 133 = -5*c. Let d = -46 - c. Solve 0 = 3*s - d*s for s. 0 Let r be (-2)/(0 - 1 - 1). Suppose 0 = 5*i + 2*x + 12, 2*i + i - 3*x + 24 = 0. Let u be r/i + (-65)/(-20). Solve -j + u*j - 10 = 0 for j. 5 Suppose -8*y = -862 + 758. Solve -4 = -3*o - y for o. -3 Suppose 0 = -2*m - 0*m - 64. Let v be (m/72)/((-2)/9). Solve -3*p = -v*p + 2 for p. -2 Let m(l) = l**2 - 25*l. Let w be m(25). Suppose -k + 15 = -2*j - 1, 5*j = w. Solve -3*s + k = s for s. 4 Suppose 39*d - 49*d = 30. Let r(y) be the first derivative of y**3/3 + 2*y**2 + 6*y + 1. Let g be r(d). Solve -3 = 3*z + g for z. -2 Suppose -102 = 91*q - 108*q. Solve 11*o - q = 8*o for o. 2 Let v = 1 - -2. Suppose 4*d + 16 = -4*c, 4*d + c + 4 = -0*c. Suppose 0 = 5*m + 5*l + 15 - d, v*m = -4*l - 13. Solve -1 = -k + m for k. 2 Let j(d) = d + 4*d - 8*d**2 - 3*d + 7*d**2 - 1. Let s be j(-4). Let a = s - -29. Solve k + a = 7 for k. 3 Suppose 0 = -g - p, 7 = 5*g + p - 1. Solve -2 = -g*y + 2 for y. 2 Let k(w) = -w**3 - 7*w**2 - 19*w - 70. Let g be k(-6). Solve -g*m - m + 45 = 0 for m. 5 Let a = -11 - -34. Suppose -9 = -4*z + a. Solve 2*j = 6*j + z for j. -2 Let y(s) = 3*s**3 - 25*s**2 + 12*s - 16. Let h be y(8). Solve h*p - 4 = 12*p for p. 1 Suppose -5*q + 0 + 10 = 0. Let k be q/(-2*(-3)/(-54)). Let z be (-4)/k + (-496)/(-36). Solve z = -3*v + 5 for v. -3 Let t = 12 + -21. Let d be (-12)/(-9) - (-3)/t. Let j be 4/d - 8 - -6. Solve j*o = -3*o - 20 for o. -4 Let a be (8/(-12) + 0)*-21. Suppose 8*o - 2 - a = 0. Let g = -1 + 1. Solve o*j = -g*j + 10 for j. 5 Let f(t) = 9*t - 40. Let j be f(5). Solve 4*p + 5 = j*p for p. 5 Suppose 0 = n + 2*n - 4*x - 29, x + 5 = 0. Suppose -5*h - c + 23 = -h, 5*h - n*c = 16. Solve -6 = 3*q - h*q for q. 3 Let d be ((-28)/42)/((-2)/3)*8. Solve k + d = 3*k for k. 4 Let c = 96 + -87. Solve -15*u = -c*u - 18 for u. 3 Let n(c) = -c**2 - 19*c - 26. Let o be n(-17). Suppose 0 = -2*g + 2, 4*g - 4 = -o*y + 6*y. Solve 3*b = -y*b + 3 for b. 1 Suppose 2*m = 4*g + 8, 3*m - 8 = g + g. Suppose 2 = 2*d - m. Suppose -d*c = c - 12. Solve 5*k + 24 = c for k. -4 Let n(m) = 3*m + 4. Let f(u) = -10*u - 13. Let v(k) = -2*f(k) - 7*n(k). Let a(j) = -10*j**2 - j - 1. Let z be a(-1). Let t be v(z). Solve c = -t + 4 for c. -4 Let g be 0/(-1) + (18 - -2). Let o be (g/8)/((-2)/8). Let v be (-44)/o + (-18)/(-30). Solve -4 - 16 = v*z for z. -4 Let j = -166 - -171. Solve 1 = -j*m + 16 for m. 3 Let c = 549 - 492. Solve -51*i = -c*i - 24 for i. -4 Let d be 10/25 + (-63)/(-5). Let b = -28 + d. Let p be 20/b*3/(-2). Solve -7 = -p*l + 1 for l. 4 Let f(h) = -57*h + 244. Let j be f(4). Solve j*k = 12*k for k. 0 Let w(k) = -k**3 + 22*k**2 - 91*k - 6. Let o be w(6). Solve -4*r - o = -16 for r. -2 Suppose y - 5*
{ "pile_set_name": "DM Mathematics" }
entiate x(c) wrt c. 44*c Let v(s) = 5*s - 7. Let a(o) = -6*o + 8. Let z(h) = -6*a(h) - 7*v(h). Let u be z(-1). Find the first derivative of 0*p + u*p - 1 + p**2 wrt p. 2*p Let q = 11 - 6. Let r(s) be the first derivative of -2 + 0*s**4 + 0*s**2 - 2/5*s**q + 2/3*s**3 + 0*s. What is the third derivative of r(f) wrt f? -48*f Let b(y) be the first derivative of 4*y**7/7 - 4*y**3 - 15. What is the third derivative of b(u) wrt u? 480*u**3 Let m be ((-3)/(-2))/((-9)/(-12)). Suppose 2*u + m*u = 4. Differentiate u + 5*b - b - b wrt b. 3 Let v(d) = 2*d**4 + 5*d**3 - d. Let w(r) = r**4 - r**3 - r. Let t = 21 - 20. Let x(k) = t*v(k) + 5*w(k). Find the second derivative of x(p) wrt p. 84*p**2 Let y = 0 + 0. Suppose 3*z - 27 = -0*i - 4*i, 3*i + 11 = 4*z. Find the first derivative of -1 + i*q**4 + y*q**4 - 5 + 4 wrt q. 12*q**3 Suppose 2*z - 4*x = -13 - 11, 2*x = 5*z + 20. Let t be (-10)/z*(0 + 1). Differentiate -7*o - 2 + 0 + t*o wrt o. -2 Suppose -6*w + 33 = -3*w. Suppose -g + 2*b = 4*g - 40, g = b + w. What is the third derivative of -2*a**2 + 2*a**3 + g - 6 wrt a? 12 What is the third derivative of -7*q**2 - 613*q - 12*q**5 + 613*q wrt q? -720*q**2 Suppose 0 = -0*c - 4*c + 5*s + 6, 0 = -c - s + 6. Suppose -2*d = -2 - c. What is the second derivative of 0*q**3 + 0*q**3 - 2*q**4 + 2*q - d*q wrt q? -24*q**2 Let m = -4 + 15. What is the third derivative of -m*r**5 + 0*r**4 - 28*r**2 + 0*r**4 + 35*r**2 wrt r? -660*r**2 Let z(r) = -38*r**5 - 4*r**4 - 3*r. Let o(w) = -w**4. Let l(h) = 4*o(h) - z(h). What is the second derivative of l(j) wrt j? 760*j**3 Find the second derivative of -8*d**3 + 8*d**3 + 10*d**3 + 6*d + 7*d wrt d. 60*d Let z(p) be the third derivative of -1/12*p**4 + 0*p + 0 - 2*p**2 - 1/15*p**5 + 0*p**3. What is the second derivative of z(y) wrt y? -8 Let h = -3 + 5. Let i = 3 + h. Find the second derivative of 2*u**i - 4*u**5 + 3*u**5 + 2*u wrt u. 20*u**3 Let l(i) be the first derivative of -i**7/210 + i**5/15 + 2*i**2 - 2. Let x(r) be the second derivative of l(r). Find the third derivative of x(m) wrt m. -24*m Find the second derivative of 42*c - 65*c + 14*c**4 + 36*c wrt c. 168*c**2 Let q(h) = 4*h - 40. Let t be q(10). Let o(u) be the second derivative of u - 1/4*u**4 - 1/2*u**3 + 0 + t*u**2. What is the second derivative of o(i) wrt i? -6 Let z(k) be the second derivative of -5*k**7/42 - 7*k**4/6 - 4*k. What is the third derivative of z(h) wrt h? -300*h**2 Differentiate 67 + 67 - 138 - 28*t**3 wrt t. -84*t**2 Suppose j = 2*p + 13, 3*p - 40 = -4*j + 8*p. Suppose 1 = -5*k - 4*n, 0*k + 5*n + 17 = -k. Differentiate -j*t**3 + 3*t**k + t**3 - 1 wrt t. -3*t**2 Let r(j) be the third derivative of -j**9/15120 - j**5/120 + j**4/12 + 3*j**2. Let t(k) be the second derivative of r(k). What is the derivative of t(p) wrt p? -4*p**3 Let d(w) = 7*w**2 + 4*w - 2. Let i(m) = -3 - 3 + 5. Let t(h) = -d(h) + 2*i(h). Find the second derivative of t(x) wrt x. -14 Suppose -4*w + 0*h - 9 = -h, 2*w - 4*h = -8. Let c be w + -3 + 2 + 3. Find the second derivative of -2*j**2 + 3*j**3 + c*j**3 + 2*j**2 + 3*j wrt j. 18*j Let n(j) = -73*j**3 + 7*j**2 + 7*j + 71. Let h(b) = 37*b**3 - 4*b**2 - 4*b - 36. Let v(a) = -7*h(a) - 4*n(a). Differentiate v(u) with respect to u. 99*u**2 Let u(n) be the second derivative of -n - 1/10*n**6 + 0 + 3/2*n**2 + 0*n**3 + 0*n**4 + 0*n**5. Differentiate u(g) with respect to g. -12*g**3 Let o(k) = 10*k**2 + 1. Let s(n) = -21*n**2 - 2. Let t(m) = 13*o(m) + 6*s(m). Find the first derivative of t(j) wrt j. 8*j Let u(m) = -m**2 + 11*m + 12. Let o be u(12). Let d(j) be the first derivative of -j + 2/5*j**5 + 2 + o*j**4 + 0*j**2 + 0*j**3. Differentiate d(k) wrt k. 8*k**3 Let n = -3 + 5. What is the third derivative of -h**2 + 2*h**n - 3*h**6 + h**2 wrt h? -360*h**3 Let h(r) be the first derivative of -5*r**4/24 - r**3/3 + 2*r**2 + 2. Let k(o) be the second derivative of h(o). Differentiate k(b) with respect to b. -5 Let k = 7 + -2. Find the second derivative of -i + 7*i**5 + 3*i**5 - 4*i**k wrt i. 120*i**3 Differentiate -12 + 33 + 6*q - 12 + 2*q with respect to q. 8 Let t(a) = a - 2. Let g(z) = -z**2 + z + 7. Let s be g(0). Suppose -s = -5*y + 8. Let w(o) = 1. Let d(p) = y*t(p) + 8*w(p). Differentiate d(l) wrt l. 3 Suppose k = 3*k + w - 7, -5*w = 5*k - 25. What is the second derivative of q - 3 - 1 + 2*q**k + 4 wrt q? 4 Let d(k) be the third derivative of 0 - 1/168*k**8 + 4*k**2 + 0*k**5 + 0*k**6 + 0*k**3 + 0*k**7 + 0*k + 1/6*k**4. Find the second derivative of d(h) wrt h. -40*h**3 Find the second derivative of -t + 6*t - t + 11*t**4 wrt t. 132*t**2 Differentiate -12 - 2 + 1794*j - 1863*j wrt j. -69 Let l = 3 - 3. What is the second derivative of l*j + 5*j - j + 3*j**5 wrt j? 60*j**3 Let i(k) = 13*k**2 - 5*k - 2. Let l(p) = 14*p**2 - 6*p - 2. Let h(b) = 6*i(b) - 5*l(b). Find the first derivative of h(v) wrt v. 16*v Let t = -4 + 3. Let c(z) = -z**3 - z + 1. Suppose -8 = -4*n + 8. Let j(r) = -2*r**3 - 4*r + 2. Let w(a) = n*c(a) + t*j(a). Differentiate w(i) with respect to i. -6*i**2 Suppose 0 = -4*f + 2*j + 10, f + 5*j = -3*f + 3. What is the second derivative of 0*i**3 + i - 3*i**3 + f*i wrt i? -18*i Let d = 3 - -1. Find the third derivative of -f**2 + 0*f**4 - f**d + 4*f**4 wrt f. 72*f Let m(n) be the third derivative of 17*n**7/105 - 5*n**4/4 + 6*n**2. Find the second derivative of m(x) wrt x. 408*x**2 Let g = 1 - -2. Differentiate 10*v**3 - 13*v**3 + 3 + g - 2 wrt v. -9*v**2 Find the third derivative of -7*n**2 - 13*n**4 + 3*n**4 - 2*n**2 wrt n. -240*n Let t(k) be the third derivative of 0*k**4 + 2/105*k**7 - 1/20*k**5 + 0 + 0*k**3 + 0*k**6 - 4*k**2 + 0*k. Find the third derivative of t(w) wrt w. 96*w Suppose -n = -4*n + 18. What is the third derivative of h**3 - 2*h**n + 0*h**2 - h**3 + h**2 wrt h? -240*h**3 What is the second derivative of -66*f**2 + 66*f**2 - 11*f + 20*f**5 - 2*f**5 wrt f? 360*f**3 Let i be (5 - 4)*0/(-2). Suppose 0 = 3*q - i*q. Find the first derivative of 1 + q - u**3 + 1 wrt u. -3*u**2 Let j(o) be the third derivative of -5*o**8/168 + o**5/60 + 3*o**2. Find the third derivative of j(g) wrt g. -600*g**2 Differentiate 6*r**4 + 1 - 4 + 0*r**4 + 0*r**4 wrt r. 24*r**3 What is the third derivative of -z - 30*z**5 - 70*z**5 + 58*z**5 + 18*z**2 wrt z? -2520*z**2 Let m = -40 - -40. Let d(h) be the second derivative of 0 + m*h**4 + h + 1/2*h**2 + 0*h**3 + 1/10*h**5. Differentiate d(z) with respect to z. 6*z**2 What is the derivative of 6*v**3 - 3 + 2 - 14*v**3 - 6 wrt v? -24*v**2 What is the second derivative of -259*o**4 - 8*o**3 - o + 2 + 0*o + 3*o**5 + 259*o**4 wrt o? 60*o**3 - 48*o Let w(g) be the first derivative of -1/6*g**6 + 0*g**4 + 3/2*g**2 + 0*g + 4 + 0*g**3 + 0*g**5. Find the second derivative of w(f) wrt f. -20*f**3 Let p = -122 + 124. Let f(d) be the first derivative of 4 - 3/2*d**p - 4*d. Differentiate f(v) with respect to v. -3 Let z(q) = -q**4 + 4*q + 6. Let s be 0 + 4 - 3/(-1). Let n(x) = x**4 - 7*x - 11. Let b(y) = s*z(y) + 4*n(y). Differentiate b(f) with respect to f. -12*f**3 Suppose 0 = -4*q + 2*q + 6. Find the second derivative of 2*z**4 + q*z**4 + 6*z + 0 + 0 wrt z. 60*z**2 Let c(x) be the second derivative of x**5/20 + x**4/12 - 3*x**2/2 - 5*x. Let y(j) be the first derivative of c(j). Find the second derivative of y(a) wrt a. 6 Let a(l) be the first derivative of 2/3*l**3 + 0*l + 0*l**2 - 6 + 3/4*l**4. Find the third derivative of a(t) wrt t. 18 Let q(c) be the first derivative of 11*c**5/5 + 3*c**3 - 13. Find the third derivative of q(n) wrt n. 264*n Let y = 3 + 2. Find the third derivative of 0 + 0*m**5 + m**y + 0 - 2*m**2 wrt m. 60*m**2 Differentiate -21 + 15*g - 13*g + g**2 + 4*g**2 - 15 wrt g. 10*g + 2 Let i(v) = 5*v**4 + 6*v. Let a(d) be the first derivative of d**5/5 + d**2/2 - 4. Let g(n) = 12*a(n) - 3*i(n). What is the second derivative of g(p) wrt p? -36*p**2 Let o(d) be the third derivative of d**8/84 + 4*d**5/15 + 2*d**2. What is the third derivative of o(w) wrt w? 240*w**2 Suppose -3*p = 4*k + 6, -4*k = -3*p + 24 - 6. Let x be (1/2)/(k/(-36)). What is the third derivative of u**2 + 8*u**6 - 6*u**x + 0*u**2 wrt u? 240*u**3 Let y(p) = -2*p**3 - 2*p**2 - p. Let q(o) = -o - 2*o**4 - o**3 + 3*o**4 - o**2 + 0*o**3. Let x(l) = 2*q(l) - y(l). What is the second derivative of x(t) wrt t? 24*t**2 Let w(m)
{ "pile_set_name": "DM Mathematics" }
3 Divide -3 by -64218. 1/21406 -245 divided by 24800 -49/4960 Divide 338601625 by -13544065. -25 Calculate 34161740 divided by 6832348. 5 Calculate 2 divided by 4940849. 2/4940849 Calculate 157 divided by -84550. -157/84550 Calculate 33587140 divided by -357310. -94 What is -7319680 divided by 3659840? -2 What is 21891919 divided by -5? -21891919/5 What is 6700810 divided by 890? 7529 What is 2 divided by 7452690? 1/3726345 Calculate 132400 divided by -9. -132400/9 What is -20 divided by -2565? 4/513 -58655016 divided by -25862 2268 Calculate 3074351 divided by -439193. -7 Divide -2759229 by -19569. 141 185001055 divided by -10882415 -17 Divide 1950432 by 44. 44328 5530366 divided by -2765183 -2 19340535 divided by -1 -19340535 What is 1 divided by 7509667? 1/7509667 -4749998 divided by -1 4749998 -32481580 divided by 5 -6496316 -11920007 divided by -491 24277 90678175 divided by 18135635 5 Calculate -99399150 divided by -1215. 81810 Calculate 386349 divided by 386349. 1 Calculate 135425322 divided by -411. -329502 What is 4 divided by -7885294? -2/3942647 17685492 divided by 44 401943 What is 5 divided by -95910043? -5/95910043 What is -4060836 divided by 3? -1353612 -12481101 divided by -17 12481101/17 Calculate 25399044 divided by 6207. 4092 Calculate -7 divided by 8251713. -7/8251713 Calculate -6922970 divided by 3461485. -2 -5 divided by -24642832 5/24642832 What is 3921850 divided by -1? -3921850 What is 1039980813 divided by 5? 1039980813/5 What is -1060218 divided by -6? 176703 Divide -10957138 by -64. 5478569/32 Divide -286664 by 4676. -10238/167 Divide 840855060 by 120294. 6990 What is 1081160844 divided by 6? 180193474 161236500 divided by -32247300 -5 Divide 109894111 by 2555677. 43 Divide 3 by 36215693. 3/36215693 What is 29851679 divided by 5? 29851679/5 Calculate -3 divided by 27771442. -3/27771442 Calculate 14236752 divided by 2482. 5736 What is 65 divided by -1947960? -13/389592 Calculate 5 divided by 17101025. 1/3420205 What is -49261704 divided by -12? 4105142 Calculate -47026089 divided by 11. -4275099 Calculate -22562 divided by 8936. -11281/4468 What is 23894450 divided by -25? -955778 Divide -67172328 by 8396541. -8 What is 811991790 divided by -24510? -33129 Calculate -6579989 divided by -13. 506153 Calculate 2368 divided by 5639. 2368/5639 Divide -401431 by 53. -401431/53 478590 divided by -1590 -301 Divide -153628 by -1663. 153628/1663 What is 1037820 divided by 103782? 10 Divide -36 by 74654. -18/37327 What is -321114 divided by -1? 321114 Calculate 1346744 divided by 7. 192392 Divide 177977 by 729. 177977/729 Divide 21 by -1217606. -21/1217606 -9 divided by 46548949 -9/46548949 -70957 divided by -104 70957/104 599055 divided by -39937 -15 What is 653400 divided by -217800? -3 Divide -590159 by -47. 590159/47 4 divided by -32063171 -4/32063171 Calculate 35059142 divided by 346. 101327 Calculate -31057875 divided by -1453. 21375 Divide 67035205 by -41. -1635005 What is 70770390 divided by -5? -14154078 Calculate 33513205 divided by -2455. -13651 What is 584382432 divided by 1002? 583216 Divide 64383216 by 6. 10730536 38897248 divided by -4 -9724312 Divide 30092232 by -2386. -12612 85023545 divided by 17004709 5 Calculate -6285 divided by 616. -6285/616 217733901 divided by -49609 -4389 Divide 7775 by 70515. 1555/14103 What is 0 divided by 1515770? 0 Divide 4889324 by 4889324. 1 What is 13656255 divided by -5? -2731251 Calculate -85954550 divided by 2. -42977275 What is -50318635 divided by 5? -10063727 Divide -145387 by 1748. -145387/1748 -19851030 divided by -18030 1101 Calculate -914687922 divided by 3. -304895974 Divide 3754 by -815. -3754/815 What is -175 divided by -130721? 175/130721 Divide -779651 by 5609. -139 Divide -398998 by 13. -398998/13 What is 22119196 divided by -2? -11059598 What is 235264536 divided by 58816134? 4 Divide 32884254 by -18. -1826903 What is 5 divided by -2586674? -5/2586674 Calculate 3 divided by -31493941. -3/31493941 -134 divided by -116846 67/58423 What is -118 divided by 443673? -118/443673 91239588 divided by 22809897 4 Calculate 10577775 divided by -423111. -25 655 divided by 90506 655/90506 Divide 0 by 100000824. 0 3695576 divided by -923894 -4 Calculate -277442460 divided by 5. -55488492 6919000 divided by 1628 4250 1064058 divided by -45 -354686/15 What is -483500 divided by 100? -4835 -6151886 divided by -236611 26 Divide 13818975 by 184253. 75 Divide -797616 by -6876. 116 -1402380 divided by -2 701190 Calculate -2339 divided by 62. -2339/62 55792818 divided by 18 3099601 0 divided by 13360674 0 Divide -36286062 by 18143031. -2 Divide -174163857 by 1. -174163857 What is -2510 divided by 7129? -2510/7129 Divide 51624865 by -10324973. -5 Calculate 909694744 divided by -529508. -1718 Calculate 5 divided by -5550548. -5/5550548 1417 divided by 13137 1417/13137 What is -29468949 divided by -9822983? 3 Divide -1 by -742411. 1/742411 -2046 divided by 227 -2046/227 Calculate -27534501 divided by -6. 9178167/2 Divide 1 by 965818. 1/965818 Calculate 3286576 divided by -4. -821644 Calculate -3 divided by -3945690. 1/1315230 Calculate 1 divided by -48057994. -1/48057994 Divide -7052629 by -7052629. 1 Calculate 424062 divided by 72. 23559/4 Divide 8346030 by -834603. -10 Calculate -445 divided by -7901. 445/7901 Divide -5125 by 408. -5125/408 What is 10 divided by 9471420? 1/947142 Divide 368535254 by -2. -184267627 What is -6750040 divided by 23276? -290 68243795 divided by 13648759 5 Divide -29512386 by -9837462. 3 Divide 21196132 by -10598066. -2 What is 160807900 divided by -5545100? -29 Divide -6020729 by 1. -6020729 What is -43703397 divided by 89373? -489 What is -9908 divided by 67? -9908/67 What is 43398524 divided by 1? 43398524 Divide -5 by 33236235. -1/6647247 207895275 divided by 315 659985 -224375694 divided by -688269 326 What is 4404105 divided by 45? 97869 Divide -48811706 by -113. 431962 Divide -467 by 7871. -467/7871 What is 40801614 divided by 6? 6800269 -648850 divided by 64885 -10 -4742512 divided by 2 -2371256 What is -132613056 divided by 96? -1381386 Calculate 1 divided by -3899725. -1/3899725 What is -779984 divided by 164? -4756 -976 divided by -26117 976/26117 Calculate -210150 divided by -450. 467 Calculate -43008390 divided by 1578. -27255 What is 1605017 divided by 113? 1605017/113 What is -6344 divided by -6130? 3172/3065 Divide 882329825 by -399425. -2209 -9509880 divided by -55290 172 -4434928472 divided by 4 -1108732118 -5 divided by -337277 5/337277 What is 370178042 divided by -1574? -235183 Calculate 67937536 divided by 64. 1061524 3 divided by 922869 1/307623 542612733 divided by 41739441 13 Calculate 45 divided by 19874. 45/19874 What is -3251 divided by -5219? 3251/5219 What is -43421175 divided by 21765? -1995 What is -22 divided by 4645193? -22/4645193 What is -69465774 divided by 240366? -289 Divide 3846 by -471. -1282/157 Calculate -1472437512 divided by 182. -8090316 Calculate -15912740 divided by 5. -3182548 291 divided by 47281 291/47281 Calculate -358960851 divided by 3. -119653617 Calculate -12171680 divided by 2540. -4792 51 divided by -12550761 -17/4183587 Divide -137829816 by -68914908. 2 114974 divided by -77 -114974/77 -3176 divided by 35571 -3176/35571 What is 33623390 divided by -6724678? -5 Divide -1705025 by 62. -1705025/62 What is 70144940 divided by 565685? 124 228184 divided by -285 -228184/285 Calculate 72333366 divided by 24111122. 3 101286819 divided by 3 33762273 -66 divided by -1333769 66/1333769 Divide -53032 by -1455. 53032/1455 Calculate 0 divided by -20657129. 0 Calculate 890419544 divided by 2044. 435626 Divide 18459728 by -56. -329638 11129160 divided by -52996 -210 0 divided by 46449795 0 2 divided by -52422067 -2/52422067 Divide 23623228 by -1. -23623228 What is 1 divided by -12345441? -1/12345441 Calculate 9627200 divided by -218800. -44 287003 divided by -3049 -287003/3049 -15 divided by 296613 -5/98871 Calculate 1263639216 divided by -3. -421213072 -19342 divided by 2154 -9671/1077 Divide 565628250 by 463250. 1221 Calculate -22868 divided by -11108. 5717/2777 -49716018 divided by 83697 -594 What is -34011004 divided by -2? 17005502 Divide 1273648745 by 5. 254729749 Calculate -23755461 divided by -2. 23755461
{ "pile_set_name": "DM Mathematics" }
st to 2/3? (a) -2 (b) p (c) 5 b Let f = 6018/143 + -540/13. Let w = f + -20/77. Let k be 1 + ((-1)/1 - 2). Which is the closest to -2? (a) 1 (b) w (c) k c Let z = 4790 + -4793. Let t = 38.8 - 39. Which is the closest to z? (a) -2/7 (b) 4 (c) -3 (d) t c Let v = -1.23 + 11.63. Let m = v - 8.4. Let h = -7.1 + -0.9. What is the nearest to 1/4 in h, m, -1? -1 Let q = -140.4 - -140. Let u be (-1)/((-150)/(-48) - 3). What is the nearest to 2 in u, q, 2/5? 2/5 Let o = -681.1 + 682.1. Which is the closest to o? (a) -2/11 (b) 1 (c) -0.35 (d) -0.2 b Let i be ((-1)/6*-4)/1. Let d = 1527.9 + -1531.9. Which is the closest to -0.08? (a) d (b) -1/7 (c) i b Let v = 828 + -833. Suppose 2*f + 0*f + 14 = 0. Let d = f - v. Which is the nearest to 1? (a) 3/4 (b) -4 (c) d a Let t = -2383 - -2104.8. Let o = 278 + t. What is the nearest to o in 0.03, -3, -1/2? 0.03 Let o = 0.56 - 8.06. Let l = 7.6 + o. Which is the nearest to l? (a) 0.3 (b) -9 (c) -6 a Let r = 0.166 - -0.334. Let b = -86 - -86. What is the closest to b in 0, r, -1/17? 0 Let r = 13350 + -13350.3. Which is the closest to 2.8? (a) r (b) -3 (c) 3 (d) 0 c Let h be 16/12 - 16/12. Suppose h = -4*k - 5*o + 5, 4 = -k + 2*o + 2. Let u = 7 + -6.8. Which is the nearest to 1? (a) k (b) u (c) 0.5 c Let r = -2597.9 + 2598. What is the closest to r in 4, 0.1, 0.42? 0.1 Let s(u) = -2*u**2 + 38*u - 16. Let q be s(18). Let g be (-9)/((-189)/q) + (-2)/7. What is the nearest to g in 0, 0.5, -13? 0.5 Suppose 0 = 5*r, 10*t - 19*t - 5 = -10*t + 4*r. What is the closest to 1 in 1, -4/7, 3, t? 1 Let g = 50797/4 - 12700. Let n = -2.4 + 2. Which is the closest to 0? (a) g (b) 1 (c) n c Let f = 13710 - 13707. Which is the nearest to 0.151? (a) f (b) -4 (c) 0.5 (d) -4/5 c Let p(y) = -2*y**2 + 54*y - 215. Let v be p(22). Which is the nearest to -3? (a) 0.1 (b) v (c) -0.21 c Let j = -1621.51 - -1613. Let k = 8.11 + j. What is the nearest to k in 3, -6, -4, 1/5? 1/5 Let m = 1759.9 - 1758.9. What is the nearest to m in 6, -1/168, 3, 0.4? 0.4 Let v = -73/12 + 523/84. Let k = -0.51 + 0.41. Which is the closest to k? (a) -3 (b) 5 (c) 1 (d) v d Let s be 42/4*(-4)/(-6). Let r(x) = 14*x + 78. Let w be r(-7). Let o be 8/(-20) - (-1 + (-112)/w). Which is the closest to s? (a) 1/3 (b) 0.5 (c) o b Let i = -586.9 + 587.4. What is the nearest to 0.05 in -11, i, 5? i Let o be 26/(-13)*1/(-6). Let u be (-21)/1116 - (-11 + (-4802)/(-434)). What is the nearest to 1 in u, -0.5, -0.066, o? o Let j = 9.8711 + 0.1289. Let g = -10.2 + j. Let y = 5 + 2. Which is the nearest to y? (a) -2/11 (b) g (c) -0.5 a Let g = 649 - 649.307. Let j = g + -2.693. Which is the nearest to 1? (a) 1 (b) j (c) 1.3 a Let d = -10.93657 + -0.06343. Which is the closest to -4? (a) 2 (b) d (c) 5 a Let h = -24.5 - -24.4. Let y(o) = -16*o - 515. Let i be y(-32). Which is the nearest to i? (a) -4.1 (b) h (c) -0.3 a Let r = 3.8724 + -1.8724. Which is the nearest to -5? (a) -1 (b) r (c) -0.1 (d) -2 d Let i = 0.02779 - 0.42779. Let p = 0 - -6. Which is the nearest to -1/2? (a) i (b) -3 (c) p a Let z be (-637)/980 - ((-1)/(-1) + (-84)/48). Let y = -6 + 2. Let h = y - -9. What is the closest to -2 in 4, z, h? z Let h = -48308.9941 - -48311. Let g = 0.0059 - h. What is the nearest to -5 in 1/7, 0.3, 3/4, g? g Let d(t) = t**3 + 13*t**2 - 22*t + 120. Let k be d(-15). Which is the closest to 2/5? (a) 363 (b) k (c) -2/17 b Let r = -14 + 16. Let i = 0.902 - 0.621. Let n = -0.081 + i. Which is the nearest to 1? (a) -4 (b) r (c) n c Let o(w) = w**3 - 31*w**2 - 65*w + 2. Let p be o(33). Let l be (5/p + 0)/((-1)/2). What is the closest to l in 0, -0.2, 0.04? -0.2 Let t = 7113 + -7112. Let w = -8 - -8.3. Which is the closest to -0.2? (a) t (b) -1 (c) w c Suppose 0 = -28*r + 37*r - 5*j + 25, -25 = -5*j. Which is the closest to 77? (a) r (b) -1/3 (c) -4 a Let t = 0.3 + -0.6. Let m = 338 + -146. Let v = -959/5 + m. What is the closest to v in -2/5, 5, t? t Let c = 4.7846 + 0.2154. What is the nearest to -1/4 in -3/5, -2, -13, c? -3/5 Let t = 338.45 - 329. Let v = 0.55 + t. What is the closest to 3 in -2/11, v, -2? -2/11 Let o be 6/(-56)*(-147)/42. Which is the closest to 0? (a) o (b) 4/3 (c) 42 (d) 0.7 a Let q = -2844349/21945 - 33428/385. Let v = q - -649/3. What is the nearest to -0.2 in 0.4, -19/3, v? v Let w be -5 - -3*86/54. Let q be (7 + -24 - -9)*2/20. Which is the nearest to q? (a) 4 (b) w (c) 3/5 b Let o be ((-12)/9 - 0)*(-2328)/112. Let x = 28 - o. Let d(s) = -s**2 - 8*s + 22. Let v be d(-10). Which is the nearest to x? (a) 4 (b) -0.3 (c) v b Let y = 35 + -36. Let d = -8.27 + 8.7. Let x = -0.13 + d. Which is the closest to 1/4? (a) -0.5 (b) x (c) y b Let v = 3544.9 - 3545. What is the nearest to 0.1 in -5, v, -0.84? v Let j = -65 + 174. Let k = j - 108.9. Let d = -2.2 - -2. Which is the closest to k? (a) -5 (b) d (c) 1 b Suppose -4*s = 5*d - 10 + 21, -16 = 4*d + 5*s. Let o = 4 + -7. What is the nearest to d in 1/5, -5, o, 11/3? 1/5 Let b = -0.8435 + 0.6435. What is the closest to 3/2 in b, 14, -0.5, -0.1? -0.1 Let d = 37.4 - 40.4. Let s = -0.1 - -0.1. Which is the nearest to -32? (a) d (b) 4 (c) s a Suppose 13*x = 7 + 19. Suppose x*o + 2 = 3*o. Let w = 43 + -40. Which is the nearest to 2? (a) o (b) -4 (c) w a Let z = 0.44 + 5.56. Which is the nearest to 0.1? (a) 4/5 (b) -0.2 (c) -4 (d) z b Let q = 20.698 - 24.698. Which is the nearest to 9/2? (a) -1 (b) q (c) -2/7 c Let z = 11101 + -11097. What is the nearest to -1/2 in 0.042, -0.5, z? -0.5 Let k = -161 - -173. Suppose 2*x = -4*u + 7*u + 13, -k = 4*u. Let p = -50/9 + 268/45. What is the closest to -1 in -1, x, p? -1 Let y = 5253 + -5251. What is the closest to -1 in y, -3, 1/3, -1199? 1/3 Let t(y) = -55*y - 8189. Let q be t(-152). Which is the nearest to q? (a) -2 (b) -5 (c) -0.1 c Let x be 339/(-6328)*32/(-6). Which is the nearest to x? (a) -1.28 (b) 2 (c) 0.2 c Let y = -141/20 - -29/4. Let s(x) = -x**3 - 47*x**2 - 91*x - 46. Let g be s(-45). Which is the closest to g? (a) y (b) 2 (c) 13 a Let l be -34*(-2)/20 + 6/(-15). Suppose -2*g = 2, -10*q = -12*q - g + l. Which is the closest to 0.2? (a) -5 (b) q (c) -0.7 c Let w = -2 + 1.6. Let o = -641/132 + 111/44. Which is the nearest to 0? (a) o (b) 1/4 (c) w b Let g = -27.3 + 4.3. Let h = g + 24. Suppose 4*u = -2*c + 24, 2*c - 3*u + 6*u - 20 = 0. What is the closest to -6 in c, h, 3? h Let v = -1.28 + 88.28. Let r = 42 - v. Let b = r + 45.01. What is the closest to 1 in b, -4, -0.5? b Let u = 89.71 + 1.29. Let v = 93 - u. Which is the closest to 1? (a) v (b) -5 (c) -13 a Let x = 0.3 - 0.3. Let n = 1181.3 - 1180.9. What is the closest to n in x, -2, 2? x Let l = -5 + 8. Let j = l + 0. Let w = -0.04088 + 0.04088. Which is the nearest to -1? (a) 4 (b) w (c) j b Let x = -387 - -386. Let y = 9 + -8. Let g = 103 - 103.4. Which is the closest to x? (a) g (b) 0.1 (c) y a Let c = -1033 - -1034. What is the nearest to c in -3, 1/2, 0.2? 1/2 Let w = -333.5 - -471. Let m = -137 + w. Let l = -0.03 - 4.97. Which is the closest to m? (a) l (b) -4 (c) -0.3 c Let x = 0.1 + 0.1. Suppose -r + 71 = 2*i - 44, 0 = -r - 5. Let b be ((-4)/2)/(280/i). What is the closest to -0.1 in x, b, -2/13? -2/13 Let o = -2.16 + 2.26. Let y = -4 - 7. Let z = y - -10.8. Which is the closest to o? (a) z (b) -0.5 (c) 2 a Let q = 48.371 + -0.571. Let u = q + -50.8. What is the nearest to u in -2, 0.2, -1/3? -2 Let k be (1*(-10)/15)/(40/(-15)). Suppose 0 = 7*o - 9*o + 14. Let z be (o/70)/(1/6). Which is the nearest to -1/3? (a) z (b) k (c) 5 b Let p = 1.05 + -1. Let u = -0.15 + p. Let w = 280.6 + -278.6. Which is the closest to 1? (a) w (b) 1 (c) u b Let d = 183.933 - 184. Let y = 1.933 - d. Which is the nearest to y? (a) 3 (b) -3 (c) -5 a Let w = 322/295 + -88/59. What is the closest to 0 in -32, 1/4, 3, w? 1/4 Let s = 93/133 - 319/266. What is the closest to -0.24 in -1/4, 5, s? -1/4 Let i(w) = w**3 - 29*w**2 + 46*w + 209. Let j be i(27). Which is the nearest to -2/3? (a) 34 (b) -1/3 (c) j b Let w = -125/17 + 909/119. What is the closest to 0 in w, 4, -2/11? -2/11 Let s = 35.2 + 3.8. Let o = 38.685 - -0.415. Let h = o - s. Which is the nearest to h? (a) 0.3 (b) -1 (c) 0.18 c Suppose
{ "pile_set_name": "DM Mathematics" }
88. What is the thousands digit of j? 4 Suppose 37*p = 25*p - 27972. Let n = -1104 - p. What is the tens digit of n? 2 Let u(l) = l**2 - 4*l + 14. Let j be u(6). Suppose j*v - 1368 = 24*v. Suppose v = 5*c - 91. What is the units digit of c? 5 Suppose 795 = 2*n + 3*n. Suppose -o + n - 7 = 4*u, 0 = -4*o. Suppose 14*s = 13*s + u. What is the tens digit of s? 3 Let p(q) = 24*q**2 + 7*q + 13. Let t be p(-3). Suppose -11*l - d = -15*l + t, 3*d = -2*l + 104. What is the units digit of l? 2 Let t(r) = -34*r + 193. Let j be t(5). Suppose -j*c - 412 + 2666 = 0. What is the tens digit of c? 9 What is the hundreds digit of 440/(-66)*(-2)/((-8)/(-12588))? 9 Let o be (2 - 3)*(-3 + 3). Suppose o = l - 5*l + 1404. What is the units digit of l? 1 Suppose -5*z + 32029 = -o + 36, 5*z - 32003 = -4*o. What is the units digit of z? 9 Let n = -638 + 10486. What is the hundreds digit of n? 8 Let t(q) = q**2 - 14*q + 26. Let b be (1 - 59)*(55/10 + -5). Let u = b + 45. What is the tens digit of t(u)? 5 Let t(j) = j**3 + 38*j**2 - 7*j - 263. What is the units digit of t(-35)? 7 Suppose -79*w + 119*w - 3220720 = 0. What is the thousands digit of w? 0 Suppose 2*b = -5*q + 3392, 2*q - 87*b + 92*b - 1361 = 0. What is the hundreds digit of q? 6 Let d(i) = -i**2 + 85*i + 291. What is the tens digit of d(65)? 9 Let a(n) = 5*n**2 + 2*n - 1. Let z be a(-3). Suppose -q - 24 = -5*d, -q - z = q - 5*d. Let s = q + 32. What is the units digit of s? 8 Suppose -5*y = 20, 4*y + 7 = -0*z + 3*z. Let d be 291/(-6)*(z - 5). Suppose -23*h = -25*h + d. What is the units digit of h? 4 Let f(p) = 11*p - 14. Let u be f(1). What is the tens digit of 122/(16/(-6) - u)? 6 Suppose t + 8077 = 2*m - 2796, 0 = m + 4*t - 5414. What is the hundreds digit of m? 4 What is the hundreds digit of 15047 + (-9)/(45/(-35))? 0 Let f(s) = s**3 + 5*s**2 - 3*s - 14. Let r be f(-5). Let i(k) = 160*k - 16. What is the hundreds digit of i(r)? 1 Suppose 6004 + 5384 = -12*d. Let f = d + 1584. What is the tens digit of f? 3 Let r(g) = 29*g + 30. Let z be r(-1). Let d(h) = 1298*h + 7. What is the thousands digit of d(z)? 1 Let h = 6345 + -2075. What is the hundreds digit of h? 2 Let v = -4 - 53. Let i = -55 - v. Suppose -i*g - g + 86 = 2*w, 2*g - 72 = -5*w. What is the tens digit of g? 2 What is the ten thousands digit of 1 + 48280 - (12 + 36/(-3 + -1))? 4 Suppose 2*n - 720 = -304. Let w be -5 - (-19)/(133/(-966)). Let x = w + n. What is the units digit of x? 5 Let l = -1569 + 55. Let t = -681 - l. What is the tens digit of t? 3 Let d be 5 - (-6)/4*2. What is the tens digit of (-15516)/(-96) + 3/d? 6 Suppose d + r - 12 = -2*r, 4 = 2*r. Suppose -8*x + 5*s = -d*x - 27, 2*x - 4*s - 32 = 0. What is the units digit of x? 6 Let b(c) = -c**3 + 5*c**2 + 8*c - 5. Let l(x) = 2*x**2 + 2*x - 5. Let m be l(0). What is the units digit of b(m)? 5 Let s = -933 + 1174. Suppose -10*v + 12*v = -3*g + s, v - g = 123. What is the hundreds digit of v? 1 Let u be 18/8*((-3)/(-9) - -1). Suppose u*y + 537 = 6*y - 4*j, -3*j - 184 = -y. Let w = y - -20. What is the hundreds digit of w? 1 Let v(l) = l - 13*l**3 - 2 + 2*l**2 - l**3 + 13*l**3 + 14*l**2. Let n be -40*(7/(-5) + 1). What is the tens digit of v(n)? 1 Let y(a) = -4*a**3 - a**2 + 17*a + 33. Let o(l) = 2*l - 14. Let x be o(4). What is the hundreds digit of y(x)? 7 Let l(r) = 33*r - 200. Suppose 6*q = 38 + 148. What is the tens digit of l(q)? 2 Let f(c) = -c**2 + 2 + 1 - 10 + 7*c. Let n be f(6). What is the tens digit of 7 - -1*(5 + n)? 1 Let p be (-16)/28 + 1 + (-17)/7. Let x be p + 5 - (-1 + 1). What is the hundreds digit of (-92)/((-12)/x)*5? 1 Let q = -161 - -165. Suppose 5*r - 2810 + 147 = q*g, -r + 541 = 2*g. What is the tens digit of r? 3 Let m = 3561 + -2306. Suppose -m = -8*c + 337. Let d = -34 + c. What is the tens digit of d? 6 Suppose -10 = -5*b, 0 = 4*c + 3*b - 10944 - 9122. What is the units digit of c? 5 Let l(h) = -2*h**2 - 6*h - 3. Let v be l(-1). What is the units digit of v*(-6)/(-24)*356? 9 Suppose 16 = -12*k - 20. What is the units digit of 1633 - (-5)/(k/6 + -2)? 1 Let m = 435 + 70. Suppose 2*g - p + 4*p - m = 0, 5*g = -4*p + 1252. What is the tens digit of g? 4 Let c = 32821 + -15397. What is the ten thousands digit of c? 1 Let y be 1/(6 + (6 - 44778/3732)). What is the units digit of 0 + y - 0/7? 2 Suppose 17*y + 4 = 106. Suppose -y*z + 18*z - 2892 = 0. What is the hundreds digit of z? 2 Suppose 4*d = -5*y + 28345, -5*d + 3599 = y - 2070. Suppose -2*h = 2*o - 2270, 4*h + 3*o - y = -h. What is the tens digit of h? 3 Suppose -61*o = -63*o - 3*c + 130, -o = -2*c - 65. Suppose -7*x + 125 = -2*x. Let f = x + o. What is the tens digit of f? 9 Suppose 2*r = 191 - 193, i - 13154 = -3*r. What is the ten thousands digit of i? 1 Let i be (-1)/(-2)*(7 - -1). Suppose 2*w + 0*c - i*c = -364, 0 = 4*c - 4. What is the tens digit of (2/(-5))/(2/w)? 3 What is the units digit of (-3 - -2) + 0 + 2 - 239666/(-38)? 8 Let x = 87 - 85. Suppose -x*l = -512 - 486. What is the tens digit of l? 9 Let w = -164 - -174. What is the tens digit of 748/w - (-152)/(-190)? 7 Suppose 4*a - 9*y - 113262 = -7*y, -10*a + 283141 = -3*y. What is the ten thousands digit of a? 2 Let l(v) = 76*v - 11. Let o be -1 - (-2 + 4) - 6. Let w(i) = 7*i + 67. Let s be w(o). What is the hundreds digit of l(s)? 2 Suppose 988*f - 1844168 = 930*f. What is the thousands digit of f? 1 Suppose 4*g + t + 4910 = 1270, 5*g - 5*t + 4575 = 0. Let p be 8/44 - g/11. Let w = p - 53. What is the tens digit of w? 3 Suppose 4*g + 26*n = 30*n - 44, 3*n = g + 19. Let c(v) = -v + 8 - 18 - 5*v - v**2 - 5*v. What is the tens digit of c(g)? 1 Let x = 2051 + -1458. Suppose -x = -2*d + 2*n + 65, 0 = 2*n. What is the hundreds digit of d? 3 Suppose -25*n + 30*n + 167 = -4*m, -4*m - 132 = 4*n. Let o = 8 - 1. Let h = o - n. What is the units digit of h? 2 Suppose -126*j + 131*j = -4*d + 248781, 2*j + 5*d - 99492 = 0. What is the tens digit of j? 6 What is the thousands digit of (780472/32 - 5) + 5/4? 4 Let j(g) = -14*g + 6. Let c be j(3). Let i = c + 40. Suppose 3*n + i*l - 252 = 2*l, 2*n - 2*l = 168. What is the units digit of n? 4 Let r be 2/(-11) - (-211)/11. Suppose 252 = 17*y - r*y. Let z = y + 268. What is the hundreds digit of z? 1 Let o(h) = 133*h**3 + 47*h**2 - 188*h - 3. What is the thousands digit of o(4)? 8 What is the hundreds digit of 5 + 4 + 4003194/162 + (-18)/243? 7 What is the ten thousands digit of 35/20*3110*2? 1 Let n = -2415 - -4027. Let r = n - 817. What is the tens digit of r? 9 What is the hundreds digit of (19 - (-981 + -11))*29/3? 7 Let g = -140 + 315. Let c = -182 - -116. Let v = c + g. What is the hundreds digit of v? 1 Let d(a) = 4*a**3 + 183*a**2 + 53*a + 145. What is the hundreds digit of d(-42)? 3 Let y be (19 - 14) + 654/(-1). Let v = y + 871. What is the tens digit of v? 2 Let a(g) = g**3 + 17*g**2 + 9*g + 2. Suppose 2*j - 4*v = -6, -4*j - 4*v - 12 - 24 = 0. What is the hundreds digit of a(j)? 4 Let f = 105 + -91. Suppose 15 - 1 = f*j. What is the tens digit of j/(-3) + 277/3? 9 Suppose 2234*r + 64264 = 2263*r. What is the hundreds digit of r? 2 Let c(d) = -2*d - 2. Let l be c(3). Let r(a) = -2*a**3 - 9*a**2 - 10*a + 37. Let f be r(-3). What is the tens digit of 599/8 - (l - (-315)/f)? 7 What is the units digit of (-2746846)/(-48) - (-295)/7080? 6 Let c(s) = -s**3 - 10*s**2 - 9*s + 7. Let h be 105/(-6) - (-3)/6. Let d = -26 - h. What is the units digit of c(d)? 7 Suppose 0 = 4377*i - 4382*i + 23605. What is the hundreds digit of i? 7 Let n(q) = 5*q + 15. Let s(x) = 4*x + 14. Let l(y) = -2*n(y) + 3*s(y). Let j be l(7). Let u = 99 - j. What is the tens digit of u? 7 Let x be -2*(4 - ((-186)/(-12) + -1)). What is the units digit of (12/x)/(-6 + 9920/1652)? 8 Let q(v) = 55*v + 217. Let w be q(5). What is the tens digit of (16/3 - 5)*w? 6 What is the hundreds digit of 0 + 8597 + -5 + 15 - 3? 6 Let w be 0 - (4/3 + 208/(-39)). Suppose -2*i - i + 9 = 0, -w*i + 861 = 3*u. What is the units digit of u? 3 Let t(f) be the third derivative of 13*f**5/60 - 5*f**4/24 - f**3/6 + 71*f**2. What is the tens digit of t(2)? 4 What is the hundreds digit of (3*3)/(125/102125)? 3 Suppose 4*j = -4*o + 11380, -4*o - 302*j + 11368 = -304*j. What is the thousands digit of o? 2 Let t be 0 + 5 + 4 + -6. What is the tens digit of (-16)/(-24) -
{ "pile_set_name": "DM Mathematics" }
10957*m + 3542*m**2. -9*m**2 Collect the terms in -6304*s + 2122*s + 2123*s + 2146*s. 87*s Collect the terms in -251*l**3 + 384*l**3 + 1 + 428*l**3 + 45. 561*l**3 + 46 Collect the terms in 8*b**2 - 230925*b + 446063*b - 215138*b. 8*b**2 Collect the terms in 19661*u + 23890*u + 5 - 10787*u + 9229*u. 41993*u + 5 Collect the terms in 499*h - 856*h - 177*h + 506*h. -28*h Collect the terms in -29 - 15 - 10 - 18 + 2*l. 2*l - 72 Collect the terms in -220*s**2 + 7538*s**3 - 78*s**2 + 48*s**2 - 7540*s**3. -2*s**3 - 250*s**2 Collect the terms in -88*j**3 - 11456*j**2 + 11456*j**2 - 122*j**3. -210*j**3 Collect the terms in -1 - 20354*l + 2*l**2 - 5*l**2 + 11*l**2. 8*l**2 - 20354*l - 1 Collect the terms in -621 - 360 + 4*w + 25*w + 234 - 209. 29*w - 956 Collect the terms in -40 - 37 - 33 - 35 - 88*w + 148. -88*w + 3 Collect the terms in -3839*s + 3836*s - 8*s**2 - 33 - 13*s**2 + 33. -21*s**2 - 3*s Collect the terms in -2*t + 33627 - 16693 - 16742. -2*t + 192 Collect the terms in -303*t**2 + 53*t - 1 - 53*t + 2526*t**2 + 1. 2223*t**2 Collect the terms in -255 + 14*r**2 + 5045 - 4790. 14*r**2 Collect the terms in -1077 - 1087 - 103*q**3 + 75*q**3 + 2164. -28*q**3 Collect the terms in 23188*u**2 + 4*u - 45266*u**2 + 22402*u**2. 324*u**2 + 4*u Collect the terms in 86 + 191 - 89 - 5*j**2 + 51. -5*j**2 + 239 Collect the terms in -545*d**3 + 552*d**3 - 4623 - 4*d**2 + 4*d**2. 7*d**3 - 4623 Collect the terms in 127830652*l**3 + 127830558*l**3 - 255661213*l**3. -3*l**3 Collect the terms in 145*o + o**2 + 125*o - 8 - 275*o. o**2 - 5*o - 8 Collect the terms in -132921*o + 22380773*o**2 - 22380929*o**2 + 132923*o. -156*o**2 + 2*o Collect the terms in 5 + 498*h + 219*h - 1170*h + 225*h + 223*h. -5*h + 5 Collect the terms in 4*o + 4*o + 7*o - 25*o + o + 2*o + 9*o. 2*o Collect the terms in 1821*b - 198*b + 169*b + 582*b + 6*b**2. 6*b**2 + 2374*b Collect the terms in 37 - 42*h - 76*h + 42 + 109 - 188. -118*h Collect the terms in -350 + 176 + 4976*n - 4899*n + 175. 77*n + 1 Collect the terms in -269*v + 950*v - 370*v - 357*v. -46*v Collect the terms in 14*s + 111*s - 63*s + 100*s + 135*s. 297*s Collect the terms in 7372656 - 7372656 + 124854*d. 124854*d Collect the terms in -33*b**3 + 125*b**3 - 7 - 30*b**3 - 39*b**3 - 24*b**3 - 9. -b**3 - 16 Collect the terms in -11*k - 316*k + 16*k. -311*k Collect the terms in -1843 + 1518 + 325 - 4*i**3 + 0*i**2 + 0*i**2. -4*i**3 Collect the terms in -1796*h - 8*h**2 + 92 + 602*h + 598*h + 598*h. -8*h**2 + 2*h + 92 Collect the terms in 125*d**3 - 123*d**3 + 42 - 408 + 366. 2*d**3 Collect the terms in -1410 + 5639 + 11*f - 1409 - 1419 - 4*f - 1407. 7*f - 6 Collect the terms in -5*g**3 - 22*g**2 - g + 24*g**2 + 19*g**2 - 51*g**2 + 30*g**2. -5*g**3 - g Collect the terms in -63208 + 189584 - 63202 + 201*x - 63174. 201*x Collect the terms in 37*v**2 - 19327*v + 58006*v - 19327*v - 19352*v. 37*v**2 Collect the terms in 85410*x**3 + 186*x**3 + 109104*x**3. 194700*x**3 Collect the terms in -2912*p - 1048*p + 4492*p - 14189*p - 7748*p. -21405*p Collect the terms in -4743*h**2 - 2 + 2 - 4541*h**2 + 9370*h**2. 86*h**2 Collect the terms in -35107*c + 35107*c + 7565*c**2 - 7561*c**2. 4*c**2 Collect the terms in 3*d**3 + d + 485*d**2 - d**3 + 128*d**2 - d + 5 - 609*d**2. 2*d**3 + 4*d**2 + 5 Collect the terms in 30*l - 27*l + 50379 - 50379. 3*l Collect the terms in -1 + 0 + 14491508*h + 26*h**2 - 14491515*h. 26*h**2 - 7*h - 1 Collect the terms in -9510*o + 2437*o + 2395*o + 2344*o + 2335*o. o Collect the terms in 1518542450 + 12*c - 1518542450. 12*c Collect the terms in 900*v - 36044 - 12*v**3 - 36088 + 72132 - 900*v. -12*v**3 Collect the terms in 3 - 12410*a + 6212*a + 6208*a. 10*a + 3 Collect the terms in 342232*t**2 - 61778*t**2 + 192346*t**2. 472800*t**2 Collect the terms in -3*s**2 - 40*s**2 - 52*s**2 + 106*s**2. 11*s**2 Collect the terms in 4856*a**2 - 4856*a**2 - 63313*a**3. -63313*a**3 Collect the terms in -172*t**2 + 343*t**2 + 251*t**2 + t - 207*t**2 - t - 203*t**2. 12*t**2 Collect the terms in 225*d - 9 - 70*d + 67*d + 32*d. 254*d - 9 Collect the terms in -66*g**2 - 75*g**2 - 25*g**2 + 234*g**2. 68*g**2 Collect the terms in -34248*y - 33885*y + 68122*y. -11*y Collect the terms in 2*o + 411944*o**3 + o - 399882*o**3. 12062*o**3 + 3*o Collect the terms in 8 - 12*j**3 - 664897*j + 6 + 1329792*j - 14 - 664895*j. -12*j**3 Collect the terms in -5465*d**3 + 10328*d**3 - 4835*d**3. 28*d**3 Collect the terms in 4266*f - 8333*f - 2392*f - 6179*f - 2129*f. -14767*f Collect the terms in 1 - 8055*q**3 + 8993*q**3 - 9721*q**3 - 3*q**2 - 8946*q**3. -17729*q**3 - 3*q**2 + 1 Collect the terms in -3345 + 6*j**3 - 6*j**3 - 3349 + 10023 - 3329 + 4*j**3. 4*j**3 Collect the terms in 307*w**2 - 10*w - 2*w + 15*w + w - 3*w. 307*w**2 + w Collect the terms in 612*i + 3710 - 8*i**2 - 3709 + 12*i**2. 4*i**2 + 612*i + 1 Collect the terms in 267*v**2 - 184*v**2 - 63*v**2 - 9*v**3 + 8*v**3. -v**3 + 20*v**2 Collect the terms in -4707*j**3 - 4182*j**3 - 9440*j**3. -18329*j**3 Collect the terms in -11*c**2 - 5*c**2 + 1990*c**3 + 6*c**2 + 10*c**2. 1990*c**3 Collect the terms in 8215769 - 8215769 + 2*a - 2*a + 191*a**3. 191*a**3 Collect the terms in 7*d**2 - 2*d**2 + 8*d**2 - 21*d**2 + 7*d**2 - 118*d - 10*d. -d**2 - 128*d Collect the terms in -846 + 2850*i + 865 - 9480*i. -6630*i + 19 Collect the terms in -6245407*c**2 + 12490808*c**2 - 6245404*c**2. -3*c**2 Collect the terms in 8325 + 25*d - 4166 - 4167. 25*d - 8 Collect the terms in -41 + 74868*i - 35 - 35 + 149 - 40. 74868*i - 2 Collect the terms in -3218469*q**3 + 1609264*q**3 + q**2 + 1609255*q**3. 50*q**3 + q**2 Collect the terms in 111*b + 48*b + 88*b - 218*b + 81*b. 110*b Collect the terms in 439*g + 137*g + 115*g - 721*g. -30*g Collect the terms in -111797452*s - 1 - 253*s**2 + 111797452*s. -253*s**2 - 1 Collect the terms in -22 - 9722*r**3 - 8431*r**3 + 16518*r**3 + 22. -1635*r**3 Collect the terms in 854 - 854 + 663809*b. 663809*b Collect the terms in -18970 + u**3 + 38063 - 19068. u**3 + 25 Collect the terms in 70 + 28 + 33964*w + 0 - 67846*w + 33984*w. 102*w + 98 Collect the terms in 38*w**2 - 28*w**2 - 2606*w + 1353*w - 1520*w. 10*w**2 - 2773*w Collect the terms in 9 + 78*m - 2 + 589*m + 292*m - 5. 959*m + 2 Collect the terms in -1153*g + 3 - 3 - 1645*g - 188*g. -2986*g Collect the terms in 169978*g + 169678*g - 339685*g. -29*g Collect the terms in 810397250 - 810397250 - 7*q**2. -7*q**2 Collect the terms in 73*o - 11 - 5*o**2 + 89*o - 225*o + 86*o. -5*o**2 + 23*o - 11 Collect the terms in -6 + 75 + 396*r**2 - 69. 396*r**2 Collect the terms in -4409436*l + 45 + 1469809*l - 14 + 1469817*l + 1469809*l. -l + 31 Collect the terms in -42682248*m**2 + 184*m - 184*m. -42682248*m**2 Collect the terms in 134960*j**2 + 0 + 165*j**3 - 167*j**3 + 0 - 135189*j**2. -2*j**3 - 229*j**2 Collect the terms in 249792*s**2 - 124771*s**2 - 125104*s**2. -83*s**2 Collect the terms in -231*v - 189*v + 332*v. -88*v Collect the terms in -568225 + 428*s + 284113 + 284112. 428*s Collect the terms in 769*b - 69*b - 504*b - 65*b - 68*b - 66*b. -3*b Collect the terms in 3992496*k + 3992507*k - 7985003*k + 0 + 0 + 17*k**3. 17*k**3 Collect the terms in 1290*k**3 + 6025*k**3 + 8*k - 8*k. 7315*k**3 Collect the terms in -327*n**3 - 3 - 1 + 1043*n**3 - 382*n**3 + 4 - 329*n**3. 5*n**3 Collect the terms in -39 + 5*l + 207 - 27 - 38 - 31 - 72. 5*l Collect the terms in 2741317*x**3 - 18*x**2 + 18*x**2. 2741317*x**3 Collect the terms in 4*n**3 + 8*n**3 - 5*n**3 - 41*n**3. -34*n**3 Collect the terms in 56 + 12*b + 359 - 358. 12*b + 57 Collect the terms in 0*i**2 + 2*i**2 + 0 - 2 - 3 + 6156*i. 2*i**2 + 6156*i - 5 Collect the terms in -19 + 70*l - 36*l - 5*l**2 - 18*l - 19*l + 11. -5*l**2 - 3*l - 8 Collect the terms in -5 - 52634*y - 7 + 13. -52634*y + 1 Collect the terms in 490712513*z - 245356259*z - 245356253*z. z Collect the terms in -2*t + 2*t + 1225*t**2 - 2*t**3 + 8*t**3 - 880*t**2. 6*t**3 + 345*t**2 Collect the terms in 72 - b**3 + 55 - b**3 + 57 - 190. -2*b**3 - 6 Collect the terms in 10 - 9275*h**3 - 59 + 18 + 15 + 16. -9275*h**3 Collect the terms in 220*t**3 + 4 - 55*t**3 - 10 + 6. 165*t**3 Collect the terms in -5538792*w**3 - 1394584*w**3 - 2016108*w**3. -8949484*w**3 Collect the terms in -39 - 39 - 1063*b + 234*b + 86. -829*b + 8 Collect
{ "pile_set_name": "DM Mathematics" }
1665*o**3 wrt j? 10501784*o**3 - 7 What is the third derivative of -582*l**5 - 1247*l**4 + 5*l**3 - 3377768*l**2 + l + 5? -34920*l**2 - 29928*l + 30 Find the second derivative of -7941693*p**2 - 4414617*p. -15883386 What is the third derivative of -7321*f**5 - 42*f**4 - f**3 - 11949*f**2 + 205 wrt f? -439260*f**2 - 1008*f - 6 What is the second derivative of 41480228*k**3 + 1525572472*k? 248881368*k Find the first derivative of -55985409*c + 29427824. -55985409 What is the second derivative of -2*j**5 - j**4 - 1092664*j**3 + 9365555*j? -40*j**3 - 12*j**2 - 6555984*j Find the first derivative of 37*o**3 - 55957*o - 503265. 111*o**2 - 55957 What is the first derivative of 308*d**4 - 3*d**3 + d**2 + 30*d - 46056977 wrt d? 1232*d**3 - 9*d**2 + 2*d + 30 What is the second derivative of -12706634*h**2 - 74*h - 87423? -25413268 Find the first derivative of -860748130*s**3 - 1077225898. -2582244390*s**2 Find the third derivative of 1797*d**3*l**3 + 3*d**3*l*t + 2*d**2*l**2*t - 218101*d*l**3*t**2 + 197*l*t**2 - 152*t**2 wrt l. 10782*d**3 - 1308606*d*t**2 What is the first derivative of -48778499*w*x**3 - 5*x**3 + 38*x**2 - 68*x - 4 wrt w? -48778499*x**3 Find the second derivative of 63213513*u**2 + 10145*u + 47 wrt u. 126427026 What is the derivative of -416975*d - 3097244 wrt d? -416975 Find the third derivative of f**6 - 207057021*f**4 - f**2 - 9604801. 120*f**3 - 4969368504*f What is the third derivative of -67*a**3*m**3 + 9*a**3*m*o - 5777*a**2*m**3*o - 83*m**2 + 872*m*o wrt m? -402*a**3 - 34662*a**2*o Find the third derivative of -408*r**6 - 682903*r**5 + 226317*r**2 - 871*r. -48960*r**3 - 40974180*r**2 What is the third derivative of -11932527*g**5 + 30*g**3 + 208222204*g**2 wrt g? -715951620*g**2 + 180 What is the third derivative of -2504*v**5 - 20*v**4 + 42*v**3 - 4164968*v**2? -150240*v**2 - 480*v + 252 What is the third derivative of -3954100*k**3 + 14*k**2 + 10610*k + 4 wrt k? -23724600 Find the third derivative of -2*q**6 + 16838660*q**4 + 2*q**2 - 25460*q + 2431 wrt q. -240*q**3 + 404127840*q What is the second derivative of 24*j**3*t**2 + 124095*j**3*t - 29*j**3 - 8*j**2*t**2 - 16045*t**2 wrt t? 48*j**3 - 16*j**2 - 32090 What is the second derivative of 58491857*f**2 - 2*f + 3360401? 116983714 What is the derivative of 432592*v**4 + 44*v**3 + 112321738? 1730368*v**3 + 132*v**2 Find the second derivative of -2*f**2*w**2 - 304*f**2*w - 1258*f**2 - 5514*f*w**2 - 5*f*w - 4*f - w**2 - w wrt f. -4*w**2 - 608*w - 2516 What is the third derivative of k**6 - 5926*k**4 - 1428*k**3 - 232883757*k**2? 120*k**3 - 142224*k - 8568 What is the second derivative of 56*g**3 - 691365*g**2 - 123840776*g wrt g? 336*g - 1382730 Find the third derivative of 95489*r*z**6 + 150*r*z**5 + 264122374*r*z**2 wrt z. 11458680*r*z**3 + 9000*r*z**2 What is the second derivative of -180169*q**5*u - q + 20*u - 10116 wrt q? -3603380*q**3*u Find the second derivative of -172*d**4*z - 7887*d**2*z**2 - 297*d*z**2 - 2*d + 253*z**2 + 24 wrt d. -2064*d**2*z - 15774*z**2 What is the second derivative of -448732*c**2*t**3 - 45*c**2*t - 117644*c*t**3 + 11*c + 3*t wrt c? -897464*t**3 - 90*t Find the second derivative of -33565271*m**3 - 136166*m - 24 wrt m. -201391626*m Find the third derivative of 24*x**5 + 2059830*x**4 + 38464*x**2 - 12*x - 5. 1440*x**2 + 49435920*x Find the second derivative of -8297928*g**3 - 260435*g + 93. -49787568*g What is the second derivative of 26172581*h**3*t**2 - 5*h**3*t + 59*h**3 + 39*h**2*t - 2*h**2 - 3*h*t + 151*t wrt t? 52345162*h**3 What is the derivative of -190*m*o*v + 52966*m*o - 167180*o*v + o + 13*v wrt m? -190*o*v + 52966*o Differentiate 191673709*c**2 + 358094087 wrt c. 383347418*c What is the second derivative of -2382633*r**2 - 6*r - 1424926? -4765266 What is the second derivative of 126384533*d**3 - 2*d**2*r + d**2 + 188*d*r + 2*d - 794201*r wrt d? 758307198*d - 4*r + 2 What is the second derivative of 37*b**3*q**2 + 136*b**3 - 691386*b**2*q**2 - 367*b**2*q + b**2 - b*q + 2*q - 11 wrt q? 74*b**3 - 1382772*b**2 Find the third derivative of -202*u**4 - 18481*u**3 - 2*u**2 + 3110494 wrt u. -4848*u - 110886 Find the second derivative of 4*a**4 + 3*a**3 + 908249*a**2 - 38063538*a wrt a. 48*a**2 + 18*a + 1816498 What is the second derivative of -2231097*j**2*l**3 - 4528*j*l**2 + 2*j + 260*l**3 wrt j? -4462194*l**3 What is the second derivative of -92158*i**3 - 219*i**2*w - 4*i*w + 9544*i + 11*w wrt i? -552948*i - 438*w Find the third derivative of -412957*t**6 + 12*t**4 - 11075540*t**2 wrt t. -49554840*t**3 + 288*t What is the second derivative of 1549592*n**4 - 4236675*n wrt n? 18595104*n**2 What is the derivative of -308*w**2 - 322609*w + 675224994? -616*w - 322609 What is the derivative of -22668*j*t + 907*j - 10570*t + 198332 wrt t? -22668*j - 10570 What is the third derivative of -115164781*c**4 - 17313601*c**2 + 2*c wrt c? -2763954744*c What is the derivative of 51543074*j - 208461543? 51543074 Find the second derivative of 109520169*c**3*k**2 + 2*c**3*k + 10*c**3 - 20521*c**2*k + 5*c wrt k. 219040338*c**3 Differentiate 19*v**4 + 2*v**3 + 209189*v - 14562200. 76*v**3 + 6*v**2 + 209189 What is the second derivative of 58874*o*q*v**2 - 2*o*q*v - 19*o*v**2 - 14*o*v + 6*q*v - 5*v**2 - v - 19 wrt v? 117748*o*q - 38*o - 10 Find the second derivative of -3*r**5*y - 295398*r**2*y**2 - 23*r*y**2 - 49*r + 16*y + 3 wrt r. -60*r**3*y - 590796*y**2 What is the third derivative of 9436554*a**3 - 2*a**2 + 25614248*a? 56619324 What is the third derivative of z**4 + 324738*z**3 - 2*z**2 - 4827*z + 3 wrt z? 24*z + 1948428 What is the second derivative of -45*q**3 - 3196*q**2 - 44*q + 34388? -270*q - 6392 What is the third derivative of -69*a**5*m**2 - 849921*a**3*m**2 + 17933*a**2*m**2 - 39*a + m**2 + 6*m + 2 wrt a? -4140*a**2*m**2 - 5099526*m**2 Find the third derivative of -69493*x**4 + 47*x**3 + 6*x**2 - 30*x + 423 wrt x. -1667832*x + 282 What is the third derivative of -54796*o**5*x - 94*o**5 - 8*o**2*x - 8*o**2 + 2*o - 49994*x wrt o? -3287760*o**2*x - 5640*o**2 What is the derivative of t**4 + 31*t**3 + 17*t**2 + 2792*t - 8615051 wrt t? 4*t**3 + 93*t**2 + 34*t + 2792 Find the second derivative of -204092167*q**2*y**2 - q**2*y + 42*q**2 + 3*q*y - 23466*y wrt y. -408184334*q**2 What is the third derivative of -10*a**5 + 554*a**4 - 90*a**3 + 38249123*a**2? -600*a**2 + 13296*a - 540 What is the second derivative of 32129115*y**3 + 3662673*y + 5? 192774690*y What is the second derivative of -12544*m**3*u**3 + 1281*m**3 + 3*m*u**3 - 23623*m + 6*u wrt m? -75264*m*u**3 + 7686*m What is the second derivative of -371448*d**3*j**3 - 3*d**3*j + 5376*d**3 - 26*j**4 - 1206*j wrt j? -2228688*d**3*j - 312*j**2 What is the third derivative of -42338194*d**3 - 54*d**2 - 1201*d + 19 wrt d? -254029164 What is the first derivative of -138510561*r**3 - 100363023? -415531683*r**2 Find the second derivative of -15089*o**4 + 1907*o**2*r - 3*o - 66606195*r wrt o. -181068*o**2 + 3814*r Find the third derivative of 247*b**4*i**2 - 5887*b**4*i + b**2*i - b*i**2 - 168804*b*i wrt b. 5928*b*i**2 - 141288*b*i What is the first derivative of 734779*a*c*g + 18*a*c - 29*a - 41*c*g*o - 96*c - 20*o wrt g? 734779*a*c - 41*c*o Find the second derivative of -1303174*k**3*q**2*v**2 + 285*k**3*q*v - 66*k**3*v - 10*k**2*q**2*v + k**2*q*v + 2*k*q**2 - 2*q*v wrt v. -2606348*k**3*q**2 What is the first derivative of 350915212*m**4 - 186807482? 1403660848*m**3 What is the third derivative of 18038745*a**4 + 69783*a**2 + 31? 432929880*a What is the third derivative of -31817*f**6 + 16*f**3 + 2*f**2 - 328*f + 30441? -3818040*f**3 + 96 What is the third derivative of -187927924*l**3 + 27*l**2 - 194*l + 2970? -1127567544 What is the second derivative of -494838543*k**2*s**2 - 511976968*k**2*s wrt s? -989677086*k**2 What is the derivative of 83*m**4 - 3*m**3 - 30*m**2 + 634*m + 1127605105? 332*m**3 - 9*m**2 - 60*m + 634 Find the third derivative of -29465739*p**6 - 58*p**2 - 43490*p + 2. -3535888680*p**3 What is the first derivative of -443*v**3 - 25664*v + 1038565236 wrt v? -1329*v**2 - 25664 Find the first derivative of -50349099*b**3 - 52552298. -151047297*b**2 What is the second derivative of 345913403*m**4 - 46891*m + 4346 wrt m? 4150960836*m**2 What is the third derivative of -23922273*n**3 -
{ "pile_set_name": "DM Mathematics" }
to milligrams. 254867400000 What is 582.7475 meters in centimeters? 58274.75 How many nanograms are there in 5742.911t? 5742911000000000000 How many nanoseconds are there in one sixteenth of a millisecond? 62500 How many months are there in 1/6 of a century? 200 What is 33.09312 tonnes in nanograms? 33093120000000000 How many seconds are there in 8/3 of a hour? 9600 Convert 0.8665678 litres to millilitres. 866.5678 How many litres are there in 0.9044122 millilitres? 0.0009044122 What is thirty-one halves of a litre in millilitres? 15500 What is one twentieth of a minute in milliseconds? 3000 How many millennia are there in 5.196592 years? 0.005196592 What is thirteen fifths of a gram in milligrams? 2600 How many decades are there in 17/4 of a millennium? 425 How many millilitres are there in 6/25 of a litre? 240 How many millimeters are there in 845.9462 centimeters? 8459.462 Convert 906957.2 centimeters to meters. 9069.572 What is 0.1950715 kilometers in millimeters? 195071.5 How many seconds are there in 8.2213 milliseconds? 0.0082213 What is 41.39866 centuries in decades? 413.9866 How many weeks are there in 45.3295836 minutes? 0.0044969825 What is 3/7 of a week in minutes? 4320 Convert 1624735.2 months to centuries. 1353.946 How many milligrams are there in 1020.151 kilograms? 1020151000 What is 6/25 of a micrometer in nanometers? 240 What is three eighths of a kilometer in meters? 375 What is 17526.267 nanoseconds in days? 0.0000000002028503125 Convert 451.7065 years to centuries. 4.517065 How many micrometers are there in 748283.9 meters? 748283900000 How many millilitres are there in 0.5494426 litres? 549.4426 Convert 5469.833t to kilograms. 5469833 What is 275133.7 centuries in decades? 2751337 What is 281.13996 months in decades? 2.342833 What is five quarters of a century in years? 125 What is 87117.38 millennia in months? 1045408560 What is 723.5545 years in centuries? 7.235545 How many milliseconds are there in 94.10365 nanoseconds? 0.00009410365 Convert 7.834833 litres to millilitres. 7834.833 What is 2082.729 micrograms in nanograms? 2082729 How many years are there in ninety-three quarters of a century? 2325 How many seconds are there in one fifteenth of a minute? 4 How many meters are there in 11/8 of a kilometer? 1375 What is fourty-nine quarters of a meter in centimeters? 1225 How many seconds are there in one quarter of a minute? 15 How many micrometers are there in 15/4 of a millimeter? 3750 Convert 455.3631 litres to millilitres. 455363.1 Convert 461.3589kg to milligrams. 461358900 What is thirteen fifths of a litre in millilitres? 2600 What is 3/50 of a gram in milligrams? 60 What is 342407.5um in kilometers? 0.0003424075 Convert 82937.95l to millilitres. 82937950 Convert 0.899816 years to centuries. 0.00899816 What is 45.12023kg in milligrams? 45120230 What is twenty-seven fifths of a decade in years? 54 How many millilitres are there in 3/40 of a litre? 75 What is 3/8 of a millimeter in micrometers? 375 What is 14222.92ns in seconds? 0.00001422292 How many kilometers are there in 382.761 nanometers? 0.000000000382761 Convert 959.6026s to microseconds. 959602600 What is 15385.845 months in millennia? 1.28215375 What is 11/2 of a microgram in nanograms? 5500 How many millimeters are there in twenty-seven quarters of a meter? 6750 How many millimeters are there in 33/10 of a centimeter? 33 How many nanometers are there in 1/64 of a millimeter? 15625 What is 91414.52km in nanometers? 91414520000000000 How many decades are there in 744.3004 millennia? 74430.04 What is 70480.45 millimeters in micrometers? 70480450 How many minutes are there in thirty-seven fifths of a day? 10656 How many litres are there in 469032.7 millilitres? 469.0327 Convert 23.183604 months to centuries. 0.01931967 How many minutes are there in seventy-one fifths of a hour? 852 How many grams are there in seven eighths of a kilogram? 875 How many months are there in 0.9841971 centuries? 1181.03652 How many kilometers are there in 0.7405239 nanometers? 0.0000000000007405239 What is 55798.74ml in litres? 55.79874 What is one fifth of a litre in millilitres? 200 How many nanograms are there in 3/32 of a milligram? 93750 Convert 4888.398g to nanograms. 4888398000000 How many milligrams are there in 3283.103 nanograms? 0.003283103 Convert 6745.795 years to months. 80949.54 Convert 4842.037mm to meters. 4.842037 How many minutes are there in eleven halves of a hour? 330 How many milligrams are there in 29/2 of a gram? 14500 How many kilometers are there in 690836.3 micrometers? 0.0006908363 How many centuries are there in 67/5 of a millennium? 134 How many hours are there in 8398993.5 milliseconds? 2.33305375 How many days are there in 810911.7 hours? 33787.9875 What is 3/32 of a second in microseconds? 93750 How many millilitres are there in seven quarters of a litre? 1750 Convert 5164.793 years to millennia. 5.164793 Convert 0.4243771 hours to minutes. 25.462626 What is 3/8 of a litre in millilitres? 375 What is thirty-one fifths of a hour in minutes? 372 What is 37/2 of a litre in millilitres? 18500 How many litres are there in 6.33961 millilitres? 0.00633961 What is 3.7749285 hours in weeks? 0.0224698125 How many minutes are there in two fifteenths of a hour? 8 How many kilograms are there in 6499.99 grams? 6.49999 What is twenty-one halves of a millimeter in micrometers? 10500 How many milligrams are there in 963147.6ng? 0.9631476 What is one fifth of a kilogram in grams? 200 How many months are there in 42213.63 centuries? 50656356 What is 576.4855 millilitres in litres? 0.5764855 What is twenty-six fifths of a microsecond in nanoseconds? 5200 Convert 9.058989 micrometers to meters. 0.000009058989 How many minutes are there in 27/5 of a hour? 324 What is fifty-two fifths of a meter in millimeters? 10400 What is three eighths of a meter in millimeters? 375 What is 7/4 of a millennium in decades? 175 How many millimeters are there in 20.63597nm? 0.00002063597 What is one twentieth of a litre in millilitres? 50 How many millilitres are there in seventy-three fifths of a litre? 14600 What is 1056.273ml in litres? 1.056273 What is ninety-one halves of a week in hours? 7644 What is eleven eighths of a litre in millilitres? 1375 How many grams are there in 0.8779552kg? 877.9552 How many kilograms are there in 241383.5 nanograms? 0.0000002413835 What is 69.15225 litres in millilitres? 69152.25 What is 0.378623 meters in nanometers? 378623000 What is 62166.43 micrograms in milligrams? 62.16643 What is 26423.74t in milligrams? 26423740000000 How many weeks are there in 92862541.8s? 153.5425625 What is 1.605407 nanometers in micrometers? 0.001605407 How many nanograms are there in 60.50564 milligrams? 60505640 What is 3/5 of a week in minutes? 6048 How many millilitres are there in twenty-one halves of a litre? 10500 How many seconds are there in 69.33845 minutes? 4160.307 What is 6/5 of a kilometer in meters? 1200 How many millilitres are there in 27/2 of a litre? 13500 What is 3/50 of a microgram in nanograms? 60 What is 1/24 of a day in minutes? 60 How many milliseconds are there in 6/5 of a minute? 72000 What is three fifths of a centimeter in micrometers? 6000 How many micrograms are there in three eighths of a milligram? 375 How many weeks are there in 114684.6897ns? 0.00000000018962415625 Convert 1.322839 centuries to millennia. 0.1322839 What is eleven eighths of a millimeter in micrometers? 1375 What is three fifths of a millennium in years? 600 How many kilograms are there in thirty-seven halves of a tonne? 18500 What is twenty-five quarters of a kilogram in grams? 6250 How many nanometers are there in seven halves of a micrometer? 3500 How many seconds are there in 3/32 of a week? 56700 What is 5306.63 days in minutes? 7641547.2 What is 3/25 of a gram in milligrams? 120 How many months are there in 4/3 of a year? 16 What is 11/10 of a millennium in years? 1100 How many micrograms are there in 5.7199 kilograms? 5719900000 What is 1/16 of a millennium in months? 750 Convert 0.630876 months to years. 0.052573 How many millilitres are there in 41995.32l? 41995320 What is 21/8 of a kilometer in meters? 2625 What is fifty-two fifths of a tonne in kilogram
{ "pile_set_name": "DM Mathematics" }
**7 assuming n is positive. n**(7/3) Simplify (h*h**(-8)/h)**(-3/26) assuming h is positive. h**(12/13) Simplify (s**2/(s/(s/(s**(-3)*s))))/(s**10/s*s**(1/2)*s) assuming s is positive. s**(-13/2) Simplify (z**(-4))**(-1/17) assuming z is positive. z**(4/17) Simplify ((v**(-10))**9)**(-17) assuming v is positive. v**1530 Simplify (y**(-7)/y**(-2/5))/((y*y/y**(-1)*y*y)/(y**7/y)) assuming y is positive. y**(-28/5) Simplify ((f**(6/5)/f)/f**(-4/5))**(-7/4) assuming f is positive. f**(-7/4) Simplify (u/(u*u**12))/(u/u**(-4/11)) assuming u is positive. u**(-147/11) Simplify (b*b/(b**0*b))**27/(b**(-2)/(b**4*b)) assuming b is positive. b**34 Simplify p**28/p**(2/51) assuming p is positive. p**(1426/51) Simplify ((q/(q*q*q*q**14*q))/(q**(3/10)/q))**(6/11) assuming q is positive. q**(-489/55) Simplify (u**(-2/7)/u)**9*u**(-3)/u**(-3/4) assuming u is positive. u**(-387/28) Simplify (t*t**(6/19)/t*t)/t*(t/t**(-1/8))/t assuming t is positive. t**(67/152) Simplify (k*k*k*k**(-2/27)*k)/k*k**(-16) assuming k is positive. k**(-353/27) Simplify (p**(2/9)*p)**(-41)*(p/((p**(2/3)/p)/p))**(2/41) assuming p is positive. p**(-18449/369) Simplify ((z*z*z*z**10*z)/(z**(-10)/z))/(z**(-5/2)/z**4) assuming z is positive. z**(63/2) Simplify (t/t**(3/8))/(t**(4/5)/t) assuming t is positive. t**(33/40) Simplify (q**(-1/7))**(1/4) assuming q is positive. q**(-1/28) Simplify (r/r**39)/(r*r*r/r**(-2)) assuming r is positive. r**(-43) Simplify (f**14/f)**5 assuming f is positive. f**65 Simplify c*c**0/c*c/(c**15*c) assuming c is positive. c**(-15) Simplify (a*a*a**1*a*a)**(2/31)*(a*a*a*a**(-1/2)*a*a*a)/(a*a**(1/9)*a) assuming a is positive. a**(2071/558) Simplify (o**(1/6))**(-15) assuming o is positive. o**(-5/2) Simplify (d*d*d**1/d*d*d*d)**(-16)*(d/(d/d**(-5))*d*d)/(d*d*(d*d**(1/7))/d) assuming d is positive. d**(-596/7) Simplify ((r*r**(2/31))/(r**(2/11)*r))**(-28) assuming r is positive. r**(1120/341) Simplify ((((a/(a/a**(2/5)))/a)/a)**0)**37 assuming a is positive. 1 Simplify l/l**(-1/27)*l*l**11 assuming l is positive. l**(352/27) Simplify (j**(-3/10))**(-22) assuming j is positive. j**(33/5) Simplify a**11/(a**(-5)/a)*(a**(-1))**(-50) assuming a is positive. a**67 Simplify q*q*q/q**(-16/3)*q/(q*q**7) assuming q is positive. q**(4/3) Simplify (j**2*j**(-2/7))/((j*j*j**(2/13))/(j*((j*j**(-1)*j*j)/j)/j)) assuming j is positive. j**(51/91) Simplify f*f**(4/5)/f*f/f**5*(f/f**(-2))**(-30) assuming f is positive. f**(-466/5) Simplify (l*l/(l*(l*(l*l**(-6))/l)/l*l)*l**(-1))/(l**8/(((l/l**3*l)/l*l)/l)) assuming l is positive. l**(-5) Simplify ((n**(-2/17)*n)/n)**12 assuming n is positive. n**(-24/17) Simplify b**(-28)/(b/(b/((b/(b/(b/b**(-16))*b))/b))) assuming b is positive. b**(-43) Simplify (i*i/(i*i**5)*i/((((i*i/i**(8/7)*i)/i)/i)/i)*i)**(-36) assuming i is positive. i**(216/7) Simplify (k**(-1/3)/((k/(k*k**(2/3)))/k*k))/(((k/((k/(k**(1/7)*k)*k)/k)*k)/k)/k*k**(2/7)*k) assuming k is positive. k**(-23/21) Simplify (((p*(p/p**(3/2))/p*p)/p*p)/(p/(p*p*p*p**(1/4)/p*p*p*p)*p))**13 assuming p is positive. p**(195/4) Simplify ((((y*(y*(y/(y*y*y**(-1/4)))/y)/y*y)/y)/y)**(24/5))**(11/4) assuming y is positive. y**(-231/10) Simplify (c/(c*c**(1/15)))/c*c/(c**0/c)*c assuming c is positive. c**(29/15) Simplify w**(6/5)*w*w**(-3)*w*w*w/(w*(((w*(w*w*w**(-7))/w)/w*w)/w*w)/w*w)*w*w**(1/2)/w assuming w is positive. w**(67/10) Simplify ((t**1/t)/t**(2/3))**13 assuming t is positive. t**(-26/3) Simplify ((p/(p/p**(-1/5)))**(-19))**(-2/165) assuming p is positive. p**(-38/825) Simplify (b**(-1/7)/b**(-5))/(b/(b*b/(b/(b/(b/b**(3/4)))*b))*b**0/b*b) assuming b is positive. b**(129/28) Simplify (j/(j*j**(-11))*j**(-2/3))**(3/4) assuming j is positive. j**(31/4) Simplify f**(-46)*f**(-21) assuming f is positive. f**(-67) Simplify ((f*f**(-6))/(f*f/f**9*f))/(((f**3*f)/f*f)/(f*f**(-3/8))) assuming f is positive. f**(-19/8) Simplify (b*b*(b**(-10)*b)/b*b**(2/17))/((b**1*b)/b)**18 assuming b is positive. b**(-440/17) Simplify u/(u/(u/(u/(u*u**(1/7)/u)*u))*u)*u**(-39) assuming u is positive. u**(-286/7) Simplify (o/((o*o/(o*o**(-18))*o)/o)*o)/o**(-17/5) assuming o is positive. o**(-68/5) Simplify (w**(2/3)/w)**31*w/(w*(w/(w*w*w**(-1/10)*w))/w)*(w/(w/(w/(w*w**(-4/11)*w)*w))*w)/w assuming w is positive. w**(-2333/330) Simplify (((x/x**(2/11))/x)/x**(5/4))/(x**(-1/4)*x/(x*x**(-1/11)*x)) assuming x is positive. x**(-3/11) Simplify (n**(-2)/((n*n**(-9)*n)/n))**16 assuming n is positive. n**96 Simplify (d/(d*d**(1/6)))/(d**(-4/33)/d) assuming d is positive. d**(21/22) Simplify (n*n**(1/2)*n)**(1/24)/(n/((n/(n*n**(-1/5)))/n*n))**(-1/45) assuming n is positive. n**(439/3600) Simplify (l/(l*l/(l/(l/(l**(-1/4)*l)))))/(l/(l*l**(-6))) assuming l is positive. l**(-25/4) Simplify h**(1/3)/h**6*h*h**(1/2)/h*h*h**(-4/7)/h assuming h is positive. h**(-241/42) Simplify ((k**(-1))**(31/3))**(-5/8) assuming k is positive. k**(155/24) Simplify (((j**(-6)*j)/j)/(j/(j/(j*j*j**(1/4)))))/((j**(-2/5)*j)/j)**(-37) assuming j is positive. j**(-461/20) Simplify (((w*(w*w*w*w/w**3*w)/w*w*w*w*w)/w)**38)**3 assuming w is positive. w**570 Simplify (y/(y*y*y**(2/25)))/(y/(y/(y*y**19))) assuming y is positive. y**(-527/25) Simplify (l/l**(-24))/((l*((l**(-4)/l)/l)/l*l)/l) assuming l is positive. l**31 Simplify x*x**(-10)*x*x*(x*x/x**(-9)*x)/x*x assuming x is positive. x**5 Simplify ((x*(x*x**(-2/11)*x)/x)/(x/x**0*x))/(x**(-1)*x*x**(-4)) assuming x is positive. x**(42/11) Simplify (w*w**(3/8)*w*w**(-5/3)*w)/((w/(w*w*w*w/(w/(w/(w*w**3)))))/w*w*w**4) assuming w is positive. w**(-79/24) Simplify (y*y/(y*y**(1/5))*(((y*y**(2/13))/y)/y)/y)**32 assuming y is positive. y**(-2176/65) Simplify b**(-4/13)*b**27 assuming b is positive. b**(347/13) Simplify (p**0)**(-2/51)*p**2/(p/p**(-3/2)) assuming p is positive. 1/sqrt(p) Simplify a/a**(-2/5)*a*a**(-6/7)*a*((a/a**(1/4)*a)/a)**43 assuming a is positive. a**(4871/140) Simplify h*(h/h**17)/h*h/(h**(4/15)/h) assuming h is positive. h**(-214/15) Simplify q/(q**1*q)*q**(-2/17)*(q/q**(-3))/(q*q/q**(-2/3)*q) assuming q is positive. q**(-40/51) Simplify (w**(-3/5)/w**(-6))**11 assuming w is positive. w**(297/5) Simplify (k/(k**(13/5)*k))/k*k**(-29)*k*k assuming k is positive. k**(-153/5) Simplify ((c*c**(-2/3)*c)/((c**7*c)/c*c))/(c**(-3)/c**3) assuming c is positive. c**(-2/3) Simplify (x*x/x**(-2)*x*x/(x**0/x)*x)/(x*(x*x**(1/3))/x*(x/(x/(x*(x**7/x)/x)))/x) assuming x is positive. x**(5/3) Simplify (g/(g*g/(g/g**2)*g)*g)**(-4/11)/(((g/(g*g**(-8))*g)/g*g)/g*g**(4/3)) assuming g is positive. g**(-284/33) Simplify (a*(a*a**6)/a*a)**(4/3) assuming a is positive. a**(32/3) Simplify (d*d**(-2/3))**(-4/5)*((d*d/(d**0*d))/d)**(34/7) assuming d is positive. d**(-4/15) Simplify ((r/(((r*r**(-9))/r)/r))/(r/((r**(1/3)/r)/r)*r*r))**11 assuming r is positive. r**(209/3) Simplify x**0*x**3*x*(x**1/x)/((x*x**(-4))/x) assuming x is positive. x**8 Simplify (((h/(h**(-2/7)/h))/h)/(h/(h**(-1)*h)*h*h))/(h/h**6*h*h**(-4/7)/h) assuming h is positive. h**(27/7) Simplify (c**12/(c*c**(-5)*c*c))**(-23) assuming c is positive. c**(-322) Simplify (j**(-3)/j)/(j**6/j)*j/j**(-7)*j*j**(-9) assuming j is positive. j**(-9) Simplify k/k**0*k**(-1/5)*k*k*k*k**1*k*k*k**2 assuming k is positive. k**(44/5) Simplify (p**(-1))**1 assuming p is positive. 1/p Simplify (g*g*g*g**4*g*g*g)/(g**(-2)*g)*g*g**(-2/7)*g/g**(-1/9) assuming g is positive. g**(808/63) Simplify (v*v*v*v**1*v)**16/(v**(2/7)*(v/v**0)/v) assuming v is positive. v**(558/7) Simplify (b/(b/(b/(b**1/b)))*(b/(b*b**5))/b)/(b/b**6*b*b**(-2/9)) assuming b is positive. b**(-7/9) Simplify r**1*r*r**6*(r*(((r*(r*r**(-1/4))/r)/r)/r)/r)**(-41) assuming r is positive. r**(237/4) Simplify (s*s*s*s**(1/14)*s)/s*s/s**(-5/11) assuming s is positive. s**(697/154) Simplify (n*n*n**(-4/5)*n*(n/(n/((n*n**(-2)/n)/n*n)))/n)/(n/n**(-7)*n/n**(6/11)) assuming n is positive. n**(-509/55) Simplify ((m*m**1/m)/m)**45/(m/(m/m**(-3))*m/(m**4*m)) assuming m is positive. m**7 Simplify (v/(v/(v/(v**(-2/7)*v))))**50/((v*v/v**(-4)*v)/(v*v/(v**(-2)/v))) assuming v is positive. v**(86/7) Simplify (m*m**(-3/8)*m)/(m/m**5) assuming m is positive. m**(45/8) Simplify v**(-1/5)*v**24*v assuming v is positive. v**(124/5) Simplify (x**17*x)/x**(-6) assuming x is positive. x**24 Simplify s**(-25)*(s**(-13)/s)/s assuming
{ "pile_set_name": "DM Mathematics" }
- q + 4*q - 25. Suppose 0 = -11*o + 49 + 105. Find the second derivative of -147*d**2 + 137*d**l + 5*d + o*d wrt d. -20 Let z be (-12 + (-84)/(-8))/(3/(-4)). Differentiate 151*q**4 - z*q - 9 + 21 + 0*q + q - 5 with respect to q. 604*q**3 - 1 Suppose 0 = f + 2*z - 0 - 21, -3*f + 2*z + 95 = 0. What is the derivative of f + 3*g**2 - 3*g - 17*g**2 - 10*g**2 + 56*g**2 wrt g? 64*g - 3 Suppose -24*m = -25*m + 14. Find the second derivative of -70*f**5 + 35*f - 2*f + m*f**5 + 7*f wrt f. -1120*f**3 Let s(h) = -4*h - 45. Let o be s(-24). What is the second derivative of -2 + o*i**2 + 126*i + 3 - 191*i wrt i? 102 Let h(u) = -7*u - 2. Let p be h(-1). Suppose -s - 28 = -p*s. Find the second derivative of -5*n**4 - 2*n - s*n**4 - 3*n wrt n. -144*n**2 Suppose -d + 19 = 3*s, -2*s - 10 = -5*d - 0. Find the third derivative of -88*t**2 + 4*t + 0*t + 93*t**2 - d*t**4 wrt t. -96*t Let k(a) be the first derivative of 43*a**4/12 - 23*a**2 + 116*a + 43. Let q(o) be the first derivative of k(o). What is the derivative of q(s) wrt s? 86*s Let b(s) = 1189*s**2 + 2*s - 621. Let t(z) = 3569*z**2 + 7*z - 1865. Let p(r) = -7*b(r) + 2*t(r). What is the first derivative of p(m) wrt m? -2370*m Let y(m) = 50*m + 208. Let t be y(-4). Find the third derivative of -30*f**5 - 4*f**2 + t*f**2 + 6*f - 49*f**5 + 9*f**2 wrt f. -4740*f**2 Let b(m) = 4*m + 107. Let z be b(-20). Find the second derivative of -z*p + 2 + 95*p**3 - 8*p + 7*p + 8*p - 2*p wrt p. 570*p Let l(s) be the first derivative of -23*s**8/8 - 59*s**4/6 - 96*s + 100. Let o(h) be the first derivative of l(h). Find the third derivative of o(y) wrt y. -19320*y**3 Let n(h) = 13*h + 162. Let p(v) = -43*v + 162 + 106*v - 48*v. Let m(w) = 2*n(w) - 3*p(w). Differentiate m(t) with respect to t. -19 Let f(y) = -y**3 + 4*y - 1. Let v(c) = -c**4 - 117*c**3 + 1781*c - 7. Let a(n) = 21*f(n) - 3*v(n). Find the second derivative of a(r) wrt r. 36*r**2 + 1980*r Suppose 88 = 4*b + 76. What is the third derivative of -19*p**b - 10*p**2 - 8*p - 14*p + 20*p wrt p? -114 Let t(s) = -2*s**2 + 2*s - 4. Let q(l) = -2766*l**2 - 12*l - 1251. Let k(p) = q(p) + 6*t(p). Differentiate k(n) wrt n. -5556*n Let m(v) be the first derivative of -269 + 52/5*v**5 - 53*v + 2/3*v**3 + 0*v**2 + 0*v**4. Find the first derivative of m(t) wrt t. 208*t**3 + 4*t Let i = -81 + 86. Suppose 14 = i*j - 6. Find the second derivative of -2*f**5 + 14*f**5 - 18*f - 28*f**j + 28*f**4 wrt f. 240*f**3 Let m(a) = -665*a - 63. Let w be m(-5). What is the first derivative of -50*i - 3298 - 45*i + w wrt i? -95 Let m(z) be the second derivative of -217*z - 1/21*z**7 + 0*z**3 - 9/10*z**6 + 0*z**2 + 0*z**5 + 115/6*z**4 + 0. What is the third derivative of m(q) wrt q? -120*q**2 - 648*q Let w(r) be the third derivative of 883*r**8/168 + 277*r**4/12 - 1910*r**2. Find the second derivative of w(s) wrt s. 35320*s**3 Let n be (-10 - 2*-1)*(5 + -6). Suppose -2*i + n = -2. Find the third derivative of i*o + o + o**2 - 13*o**5 - 6*o wrt o. -780*o**2 What is the derivative of -12795*x - 11099*x + 13461*x + 11379 wrt x? -10433 Let c be (-12)/(-14)*(16905/45)/23. Let w be 2 - 2 - 28*-1. Differentiate 0*k - w*k - 6 + c*k - 12*k wrt k. -26 Let i(c) be the first derivative of 0*c + 3/4*c**4 - 10/3*c**3 + 81 + 54*c**2. Find the second derivative of i(h) wrt h. 18*h - 20 Let j(k) be the first derivative of -313*k**6/3 + 107*k**2 + 1170. Find the second derivative of j(w) wrt w. -12520*w**3 Let r(q) be the second derivative of -13*q**4/8 - 27*q**3/2 + 45*q**2 + 81*q. Let p(a) be the first derivative of r(a). Differentiate p(k) with respect to k. -39 Suppose -427*f - 34 = -444*f. Let z(d) be the first derivative of 0*d - 17/3*d**3 - 14/5*d**5 + 0*d**f + 0*d**4 - 17. Find the third derivative of z(r) wrt r. -336*r Differentiate -337 + 3*j**4 - 729 - 7*j**4 + 97*j**3 wrt j. -16*j**3 + 291*j**2 Let m(p) = 0*p + 3*p**2 - 4*p**2 + 3*p + 3*p**3 + 2 - 5*p. Let k be m(1). Find the third derivative of 10*b**4 + 30 - 30 + 9*b**k wrt b. 240*b Let f(y) be the first derivative of -7*y - 41 + 2*y**2 - 256/3*y**3. What is the second derivative of f(h) wrt h? -512 Let h(j) = 4*j**4 + j**2 - j - 1. Let b(k) = 2*k**4 + 13*k**2 + 275*k + 3. Let s(g) = -b(g) + 6*h(g). Find the second derivative of s(f) wrt f. 264*f**2 - 14 Let q(v) = -2*v**2 - 10*v + 106. Let b be q(-10). Differentiate 15102 - 15084 + b*n - 22*n wrt n. -16 Let b(t) = 10*t - 7*t - 3*t + 7 + 3*t**2 - 6*t. Let s be b(3). What is the third derivative of 23*n**4 - s*n**2 - 6*n**4 - 3*n**2 + n**2 wrt n? 408*n Let v(g) be the first derivative of -7*g + 1/2*g**2 - 81 - 116/3*g**3. What is the second derivative of v(d) wrt d? -232 Let q(i) be the third derivative of -2521*i**6/60 - 1989*i**4/8 - 2*i**2 + 2*i + 3535. What is the second derivative of q(d) wrt d? -30252*d Differentiate -412*w - 147*w - 1031*w + 5103 with respect to w. -1590 What is the derivative of -290*b**3 - 5389 + 290*b**3 + 1190*b**4 - 595*b**4 + 2113*b**4 wrt b? 10832*b**3 Suppose 5*r + 9 = q - 68, 0 = 3*r - 2*q + 49. Let a(i) = i + 17. Let o be a(r). What is the derivative of -4 - 11*n**o + 2 - 14 wrt n? -22*n Let p be (18/81 - 518/(-18)) + -4. Let d be 5/(p/(-15)) - -3. Find the second derivative of 37*f**5 - 3 - 6*f + d + 2*f + 4*f**5 wrt f. 820*f**3 Let w = 265 - 238. What is the derivative of 7*j**2 - 95 - w*j**2 - 91 + 240 wrt j? -40*j Suppose -33*g + 224 = -5*g. Find the second derivative of 3*d - g - 2*d + 67*d**3 - 2 + d**4 + 15 wrt d. 12*d**2 + 402*d Suppose 0 = 9*s - 31*s + 330. Suppose -4*l = 11 - 211. What is the second derivative of 15*z - 5*z + s - 16 - l*z**4 wrt z? -600*z**2 Find the second derivative of 14090 + 524*j - 14088 + 2896*j**2 - 853*j**2 wrt j. 4086 What is the third derivative of -332*p**5 + 5934*p**2 + 7064*p**2 - 1047*p**5 - 13864*p**2 wrt p? -82740*p**2 Let x(m) be the third derivative of -1/6*m**3 + 0*m + 7*m**2 + 1/12*m**4 + 0*m**6 + 1/70*m**7 + 7/60*m**5 + 0. What is the second derivative of x(l) wrt l? 36*l**2 + 14 Let j be 0 + 1 + (-78 - -84). Find the third derivative of 44*v - 4*v**2 + j*v**2 + 6*v - 37*v - 93*v**3 wrt v. -558 Let i(v) be the first derivative of 0*v + 137/2*v**2 + 12 + 271/3*v**3. What is the second derivative of i(q) wrt q? 542 What is the third derivative of -1951*o**6 - 2051*o**6 + 40*o**2 + 1314*o**2 + 275*o**6 wrt o? -447240*o**3 Let a be (6/4*24/(-18))/(-1). What is the third derivative of -22*l**3 - 12*l**2 - 25*l**2 - 38*l**a wrt l? -132 Let j(r) be the first derivative of 17*r**4/4 - 9*r**3 - 691*r**2/2 - 237. What is the second derivative of j(k) wrt k? 102*k - 54 Let h = -3741 - -3743. Let b(p) be the third derivative of -p**3 - 1/3*p**4 - 15*p**h + 0 + 0*p. Differentiate b(v) with respect to v. -8 Find the third derivative of -9370*s**4 - 4005*s**4 - 5*s**2 + 7810*s**4 + 2 - 3*s wrt s. -133560*s Let b(a) be the first derivative of 6*a**5/5 - 7*a**4/2 - a**3 - a**2/2 + 166*a - 1640. Find the second derivative of b(u) wrt u. 72*u**2 - 84*u - 6 Let x be 2/(-4)*(29 - 29). Let j(r) be the second derivative of 17*r**2 - 25/12*r**4 + 0 + 3*r + x*r**3. Find the first derivative of j(m) wrt m. -50*m Suppose 31 - 11 = 5*s. Differentiate 50*w**s + 10*w**4 + 10 + 33 with respect to w. 240*w**3 Let f(u) = -57*u**2 - 201*u. Let p = 168 - 175. Let d(q) = -56*q**2 - 203*q. Let a(y) = p*d(y) + 6*f(y). What is the second derivative of a(l) wrt l? 100 What is the first derivative of -1596 - 3152 + 494141*w - 479212*w wrt w? 14929 Suppose -11 = 4*m - 75. What is the derivative of -m - 9*p**3 + 3*p**3 + 55*p - 55*p wrt p? -18*p**2 Let j(l) be the first derivative of 0*l**4 + 0*l + 133 + 4/5*l**5 + 0*l**3 + 8/3*l**6 - 75*l**2. Find the second derivative of j(v) wrt v. 320*v**3 + 48*v**2 Let i(q) = -1562*q**3 - 21*q**2 - 4363. Let d(c) = -782*c**3 - 9*c**2 - 2182. Let a(n) = 7*d(n) - 3*i(n). Differentiate a(l) wrt l. -2364*l**2 Let w(o) be the third derivative of 4*o**3 + 61/6*o**4 + 0*o + 133*o**2 + 0. What is the derivative of w(b) wrt b? 244 Suppose -3*v - 3*h + 4*h + 13 = 0, -4*v = 4*h + 4. What is the first derivative of -217 - 5*q**v - 23*q**3 + 167 wrt q? -84*q**2 Let h(k) be the first derivative of 1237*k**6/3 - 2*k**5/5 - k**4/4 + 142*k**3 - 16*k - 6612. Find the third derivative of h(r) wrt r. 148440*r**2 - 48*r - 6 Find the third der
{ "pile_set_name": "DM Mathematics" }
+ 21 = 0, -5*m = -v + 160. Let w = -70 + 106. Let p = w + m. Which is smaller: 16/3 or p? p Let d be 90/(-86) - -9*4/36. Which is smaller: 17 or d? d Let i = -45031937/2504 - -17984. Is i at least -0.1? True Let b be 15/(-6)*29/(435/444). Which is bigger: -61 or b? -61 Let j = -2337 - -46741/20. Which is greater: j or -38? j Let q(z) = 34*z + 1905. Let c be q(-56). Which is smaller: c or 1/193? 1/193 Let g = 0.09456 - -347.60544. Which is bigger: -0.1 or g? g Suppose -2749 = -23*r - 633. Is 997/11 greater than r? False Let s = -313.7223 - 0.2777. Are 0.4 and s equal? False Let g(l) = -l**2 + 118*l - 3355. Let v be g(48). Which is smaller: v or 83/14? v Suppose n = 5*n + 2*y - 154, 5*y = 3*n - 148. Let q = n + -36. Suppose -q*m + 3*i = -26, -2*i = -4*m + 25 - 5. Which is smaller: m or 14/3? m Let n be ((-107134)/(-69)*-9)/2. Is n at least as big as -6987? True Let w = 7172/3 - 2388. Which is bigger: w or 168? 168 Let b be (34/(-3))/((-1164)/234 + 6 - 1). Which is smaller: -428 or b? b Let t = 8546 - 8546.9482. Let b = t - 0.0518. Let a be 3/(-3) - -7*1. Which is smaller: b or a? b Let b(v) = 6*v**3 - 195*v**2 - 40*v + 60. Let h be b(33). Which is bigger: 2009 or h? 2009 Let w(t) = 5*t + 62. Let j be w(-8). Let h be 32/(-56)*(79/(-2) + 1). Is h greater than j? False Let b = -165 - -185.8. Let x = b - -4.2. Let k = -80 + 82. Which is smaller: x or k? k Let i(j) = -j**3 + 12*j**2 - 15*j - 34. Let c be i(10). Let w(b) = -b**3 + 16*b**2 + 10*b - 83. Let m be w(c). Which is bigger: m or 387/5? 387/5 Let y = -8399/25 + 336. Let n be (-4)/(-1) - 0 - (303 - 2). Let b = -298 - n. Is b bigger than y? False Let j(d) = 11*d**3 - 4*d**2 - 14*d - 6. Let t = -22 + 20. Let k be j(t). Is k smaller than -242/3? True Let k(s) = 2*s + 25. Let l be k(-10). Let n be l/(-25) - 87812/(-29810). Let j = 5/271 - n. Is -2 bigger than j? True Let j = 216.9465 - -0.0535. Let p = 217.03 - j. Let m = -18 - -18. Does m = p? False Let o(c) = 1383*c + 2. Let h be o(2). Let i be (-1)/(-4) + h/(-64). Let v = -47 - i. Is v equal to -7? False Suppose 6*v - 5747 = -42*v + 5677. Is 241 smaller than v? False Let t be 1292 - (-1)/(-1) - (-124)/(-31). Suppose -281 - t = -16*o. Is o >= 98? True Let y = -7536 - -1255. Do -6281 and y have the same value? True Let c = 24.31 + -3.31. Which is smaller: c or 59? c Let k(l) = l**2 - 71*l + 356. Let z be k(67). Is z != 87? True Let v(j) = -j - 3. Let n be v(-6). Suppose n*p + 0*w + 2*w = 1, 4*p - 1 = -3*w. Let d be (-34)/(-1275)*6/(-10). Is p greater than d? True Let x = 14 + -10. Let j = -0.19441 - 16.80559. Which is bigger: x or j? x Let c = -60 - -39. Suppose -7*i + 19*i - 1092 = 0. Suppose -b + s = 23, -4*b + 3*s - i = -0*s. Is b at most as big as c? True Let h be -4 - (11/(330/(-4)) - 208/40). Are -0.6 and h nonequal? True Let r(d) = d + 28. Let q be r(-18). Let v(a) = a**3 - 11*a**2 + 10*a. Let o be v(q). Suppose o = -4*n - 4*y - 88, 5*n + 110 = -2*y. Which is smaller: -23 or n? -23 Let k = 53.37 + -2.47. Let l = 224 - 275. Let h = k + l. Which is greater: h or 9? 9 Let b be 19/(-95) + (-2458)/(-140) + 0. Is 16 smaller than b? True Let f be (((-20)/(-200))/(6/10))/(1916/(-6)). Is 0 bigger than f? True Let y be (45/(-6))/((-18)/8). Suppose -7*o + 750 = 18*o. Let g(n) = -3*n + 93. Let w be g(o). Which is smaller: y or w? w Suppose x - 5*j + 57 = 0, -x + 4*j = 13 + 40. Let b(d) = d**3 + 12*d**2 + 25*d + 20. Let q be b(-9). Let p = q + x. Which is greater: -3/7 or p? p Let s be (5/((-5)/(-11)))/1. Suppose -s*v + 13*v - 48 = 0. Suppose 0*a - 2*a = -v. Which is greater: 38/3 or a? 38/3 Let k be 654/(-16) - (14 + -11). Let c = k + 86713/1976. Suppose -3*y = y + 4. Which is greater: c or y? c Let a = -152 + 216. Let o = -58 + a. Let c be (-30)/(-15) + o/(-2) + 2. Is c < -2/41? False Suppose -99*a + 164*a + 97*a = -70*a. Which is greater: a or 46/797? 46/797 Let m = -1.26 - -1.16. Suppose h = -10 + 18. Let u be (2/h)/(2/4). Which is smaller: u or m? m Suppose -2*b + 145 = -3*v - 2, -3*b - v + 215 = 0. Suppose 8 = -4*n - b. Let a = n - -43. Is a bigger than 23? False Suppose -130*m - 5 = -265. Suppose 2*w - 4 = 4. Suppose 0 = -3*v + w*v + 1. Which is smaller: v or m? v Let c(y) = -2499*y - 27494. Let r be c(-11). Let q be 28/(-5)*(-10)/(-11). Which is greater: q or r? r Let l(x) = -37*x + 39. Let o be l(7). Let m be (-1)/5 + o/(-50) + -5. Which is greater: m or -2? m Let j be -9 - (4/(-2))/((-12)/(-18)). Let o be 4*1 - (-2)/(-2). Suppose -12 = 7*y - o*y. Which is smaller: y or j? j Let s = -60 + -17. Let w = -76 - s. Let m be 0*2/14*(0 + w). Is m > -2? True Let b be 5409 - (-14 - 0)/(-1)*19/38. Which is bigger: 5404 or b? 5404 Let m(g) = -2*g**3 - 7*g**2 - 5*g + 3. Let h(q) = -3*q - 64. Let o be h(-20). Let a be m(o). Which is bigger: 40 or a? 40 Let z = 5 - 42. Let q = z - -36.88. Let v = q + 2.12. Is -24 at most as big as v? True Let f(c) = 3*c + 9. Let a be f(-3). Let u = 6514/5 + -462584/355. Is u at least a? False Let x = 13907.53 + -13706. Let o = -203 + x. Is o greater than or equal to 0.1? False Suppose t + 30 = 3*w, 19 = -4*t - 4*w - 133. Let r be (12/t)/((-3)/9). Is 1/30 at least as big as r? False Let a(m) = m**2 - 8*m + 21. Let i be a(8). Suppose 3*y = -2*f + 11, -5*y + 10*y = -4*f + i. Which is bigger: 1/70 or y? y Suppose -2*y + 5*l = -2, -5*y - l + 5 = -0. Are -20/199 and y non-equal? True Let k = -6207808/9906585 - 14/32695. Let v = k - 4/101. Let y be 5/15 + (-386)/6. Which is smaller: y or v? y Suppose -2*l - 40 = 3*l. Suppose -14*t - 3 = -17*t. Let w be (-473)/55 - (t - (-3)/(-5)). Which is smaller: w or l? w Let x be 2/(2 - 4)*1*-1. Suppose -2*k - l - x = 0, 11*k - 5*l + 7 = 9*k. Is k at most 3/31? True Let z be (9/15)/((-4)/20) - -17. Let p be ((-100)/(-30))/(4/6). Suppose -p*h - 56 = z. Are -14 and h nonequal? False Let w(j) = -55*j**3 + 2*j + 2. Suppose -2*g - 6*m = -2*m - 18, 4*m - 16 = -4*g. Let x be w(g). Are 53 and x unequal? True Let p = 8646457/55 - 775912/5. Let q = p - 2030. Which is smaller: -4 or q? q Let s = -86 - -268. Let h = s + -160. Do h and 22 have different values? False Let o be (-3)/((-18)/4)*54/12. Suppose 3*d + 171 = 3*a, 0 = -o*a + d - 4*d + 159. Which is greater: 56 or a? 56 Suppose 72*z - 151 = -79*z. Is 4/11621 >= z? False Let s(j) = -10*j - 13. Let k be s(-9). Let o be 78/(-224) - (-22)/k. Let m = 87 - 86. Which is bigger: m or o? m Let a be (0 - 62/18) + 1. Let z(x) = -114*x + 181. Let d be z(-3). Let n = -526 + d. Is a less than or equal to n? False Let d(r) = -3*r**2 + 21. Let l be d(3). Let h be l + (-980)/(-130) - 8/(-2). Which is smaller: h or 6? h Let v(o) = -o**3 + 39*o**2 - 170*o + 9. Let w be v(34). Suppose 36*x + 54 = w*x. Let r be -1*1 - 6/27. Is x > r? False Let q = -4 - -8. Let u = -5 + q. Let r = 203 - 3043/15. Are u and r unequal? True Let s(t) = 1076*t + 3042. Let z be s(-5). Are z and -2340 unequal? True Let s(t) = 5*t + 64. Let k be s(-12). Suppose -5*i + 3*l = -6*i - 73, k*i + 4*l = -268. Is i at least as big as -64? True Let b(t) = -3*t**3 + 4*t**2 + 38*t - 166. Let h be b(0). Let c(p) = -18*p**2 + 3*p + 3. Let f be c(-3). Is f >= h? False Suppose 6 + 14 = 5*b. Let k be 4*(1 - 10/b). Let y = k - 1. Which is smaller: y or 0? y Let s(i) = 4*i + 2. Let g be s(1). Suppose g*w = 2*w + 4. Let k be ((-2)/(-26)*1/3)/(60/(-216)). Do w and k have the same value? False Let z(t) be the first derivative of -13*t**4/4 - t**3/3 + t**2 - 2*t - 8. Let n be z(1). Let p be n/4*(13 + -9). Is -14 at least as big as p? True Let d(t) be the third derivative of -t**6/120 + 2*t**5/15 - t**4/8 + t**3/6 - 66*t**2. Let h be d(6). Which is smaller: h or 54? 54 Suppose 0 = -47*c - 5*c - 13046 - 25642. Which is smaller: c or -740? c Let z(j) = 6*j**3 - 8*j**3 + 175*j**2 + 21*j - 208*j**2 + 41. Let b be z(-17). Which is greater: b or -25? -25 Let a = -33.3124 - 0.0876. Let f = 34.4 + a. Which is smaller: f or -0.007? -0.007 Suppose 0 = -172*z + 289*z - 6669. Let y = -59 + 116. Is y at most as big as z? True Let a(c) = -c**2 - 2*c - 7. Let b be a(5). Let d = b + 52. Suppose 5*j + 4*f - 16 = 35, j - 5*f = 16. Which is smaller: j or d? d Let s be ((-51)/187)/((-54)/198). Do s and -176 have the same value? False Let d = 112 - 101. Let c = -7 - -12. Suppose -c*k - d = -6. Which is smaller: k or 2? k Let x(s) = 2*
{ "pile_set_name": "DM Mathematics" }
is -28187 divided by -4? 28187/4 Calculate -1183662 divided by -6. 197277 Calculate 523224 divided by 39. 13416 What is 12961 divided by -6? -12961/6 -36 divided by 11363 -36/11363 Calculate -70035 divided by 41. -70035/41 Calculate 4802 divided by -98. -49 Divide -2529 by -682. 2529/682 What is -32992 divided by -16? 2062 Divide -859460 by -8770. 98 Divide -2 by 5910. -1/2955 Calculate -3 divided by -8877. 1/2959 Divide -6 by -5086. 3/2543 22 divided by -1714 -11/857 Calculate -90153 divided by 10017. -9 Divide 7 by 6500. 7/6500 What is 1673880 divided by 10? 167388 Divide -284 by -72. 71/18 What is 6361 divided by 2? 6361/2 54992 divided by 4 13748 Divide 56673 by -2099. -27 What is 1952 divided by -32? -61 What is -3708 divided by 15? -1236/5 Calculate -148 divided by 1428. -37/357 Divide -3 by 35792. -3/35792 What is -2293 divided by 4? -2293/4 Divide 25842 by 3. 8614 What is -3578212 divided by -894553? 4 Calculate -14104 divided by 4. -3526 -15 divided by 112285 -3/22457 Divide -3665 by 221. -3665/221 Calculate 291 divided by -1355. -291/1355 Calculate -224322 divided by -6. 37387 42850 divided by -8570 -5 Divide 2267171 by 193. 11747 What is 965481 divided by -5? -965481/5 -33 divided by 3793 -33/3793 Calculate -129910 divided by 5. -25982 Divide -9 by -1209. 3/403 4116 divided by -21 -196 What is -65520 divided by 105? -624 What is -16833 divided by -5611? 3 What is 77032 divided by 19258? 4 Calculate 206 divided by -125. -206/125 What is 9420 divided by -2? -4710 Divide 687532 by -5. -687532/5 -2 divided by -15839 2/15839 Calculate -262 divided by 1807. -262/1807 What is 54750 divided by 9125? 6 Calculate 47840 divided by -26. -1840 114558 divided by -2 -57279 What is 7400205 divided by -15? -493347 What is 1297145 divided by -259429? -5 What is -96170 divided by 2? -48085 -5 divided by -20410 1/4082 96816 divided by -1 -96816 What is -672 divided by 8? -84 Divide 29 by -17996. -29/17996 45810 divided by 2 22905 What is 87540 divided by -4? -21885 What is 2959274 divided by 6? 1479637/3 Divide 12 by 10833. 4/3611 Calculate -145457 divided by -6. 145457/6 Divide 4480880 by 896176. 5 Calculate 8393586 divided by -6. -1398931 -2412 divided by -692 603/173 7820 divided by -65 -1564/13 Calculate 138528 divided by -13. -10656 Calculate -4 divided by -5467. 4/5467 6 divided by 2822 3/1411 0 divided by 30099 0 93030 divided by -13290 -7 Calculate 92840 divided by -220. -422 Calculate 238470 divided by -23847. -10 80930 divided by -16186 -5 -570488 divided by -116 4918 Calculate 684516 divided by -1124. -609 47004 divided by 11751 4 Calculate -146016 divided by -468. 312 262137 divided by 59 4443 Calculate -16620 divided by 5. -3324 Divide 38817 by -201. -12939/67 98408 divided by 12301 8 -52472 divided by -14 3748 What is -64456 divided by 2302? -28 Divide 0 by 591897. 0 -81 divided by -10184 81/10184 What is 1827873 divided by -3? -609291 Calculate 85470 divided by 185. 462 Divide -89433 by -171. 523 18 divided by 2453 18/2453 Divide 76233 by -25411. -3 What is -14904 divided by 7452? -2 -4 divided by -82632 1/20658 Divide -72612 by 6051. -12 Calculate 2231 divided by -20. -2231/20 Calculate 4242520 divided by 12478. 340 -6016708 divided by 3 -6016708/3 Divide -1194 by 58. -597/29 Calculate 6344 divided by 488. 13 Calculate -4798860 divided by -726. 6610 Divide -18700 by -89. 18700/89 Divide 3 by -1020901. -3/1020901 -1727018 divided by 863509 -2 Calculate -3 divided by -202061. 3/202061 Divide -362 by -5509. 362/5509 Divide 124469 by 1. 124469 1 divided by 2066 1/2066 -293318 divided by 2 -146659 Calculate -14224 divided by 16. -889 Divide -4 by 8828. -1/2207 1964 divided by -250 -982/125 Divide 7992 by -7992. -1 6592 divided by 8 824 Divide -1198119 by -1. 1198119 What is -4591367 divided by -37? 124091 -14 divided by -278 7/139 Divide 0 by -115507. 0 Calculate 34600 divided by -34600. -1 Calculate -329644 divided by -4. 82411 Divide 19 by -25635. -19/25635 Divide -4 by -100753. 4/100753 -484625 divided by 5 -96925 159461 divided by -881 -181 Calculate 27144 divided by 9048. 3 Divide -348708 by 174354. -2 What is 211480 divided by 622? 340 Calculate -9349 divided by -10. 9349/10 Calculate -15450 divided by -515. 30 What is 12964 divided by -1852? -7 Divide -21702 by 21702. -1 Calculate -3 divided by 30247. -3/30247 16250 divided by 625 26 What is 45294 divided by -15098? -3 Calculate 147908 divided by -412. -359 70210 divided by 35105 2 What is 25407 divided by -2823? -9 -104278 divided by -17 6134 Calculate 62650 divided by -8950. -7 What is 43956 divided by 14652? 3 What is -105309 divided by 3? -35103 What is 28 divided by 37106? 14/18553 Divide 0 by -593377. 0 What is 8278 divided by 161? 8278/161 Divide 52170 by 74. 705 Calculate 4 divided by -1867. -4/1867 Calculate -57505 divided by 1. -57505 Calculate -2 divided by -10760. 1/5380 What is -256 divided by -206? 128/103 3 divided by -303093 -1/101031 -28755 divided by 9 -3195 5292 divided by -111 -1764/37 Divide -153186 by 11. -13926 1 divided by 11500 1/11500 23180 divided by -122 -190 Calculate -21880 divided by -4376. 5 Calculate 5 divided by -12376. -5/12376 Calculate -2499528 divided by 624882. -4 Calculate -150863 divided by 150863. -1 Divide 124945 by -5. -24989 Divide 91176 by -29. -3144 90750 divided by 18150 5 Calculate 13911 divided by -2. -13911/2 163969 divided by -12613 -13 Calculate 72437 divided by -17. -4261 Divide -41656 by 1. -41656 Divide -44 by -2036. 11/509 What is 1 divided by 1707136? 1/1707136 -164384 divided by 88 -1868 Divide 3879 by -27. -431/3 What is -309 divided by -28? 309/28 -53 divided by -7578 53/7578 Calculate 15318 divided by -15318. -1 Divide 1 by 350830. 1/350830 Divide 170685 by -56895. -3 -447 divided by -38 447/38 Calculate -42145 divided by -5. 8429 What is 81382 divided by -2? -40691 Divide -626600 by 1. -626600 What is -95 divided by 3634? -95/3634 -176022 divided by 9779 -18 Divide -13 by -38336. 13/38336 Calculate -336 divided by 296. -42/37 Divide 2405 by 197. 2405/197 What is -1381 divided by -67? 1381/67 What is 2750 divided by 55? 50 What is -1320 divided by 11? -120 Calculate -236964 divided by 364. -651 Divide 83 by -16430. -83/16430 Divide -604086 by 133. -4542 What is -18 divided by -43317? 2/4813 Divide -20224 by 128. -158 Divide -7711 by 41. -7711/41 Calculate 75360 divided by -24. -3140 2593995 divided by 15 172933 Divide 157 by 5267. 157/5267 12280 divided by -6140 -2 Divide 812754 by 261. 3114 Divide -60947 by 4. -60947/4 Calculate 796936 divided by -8. -99617 76449 divided by -25483 -3 Calculate -92586 divided by -30862. 3 Divide -149360 by 1867. -80 117 divided by 311 117/311 Calculate -1929 divided by -919. 1929/919 6235 divided by 298 6235/298 Calculate 123 divided by 1565. 123/1565 Divide 265 by -50. -53/10 What is 5113 divided by 6? 5113/6 What is 166738 divided by 7579? 22 Calculate 36826 divided by -2. -18413 What is -4 divided by -355199? 4/355199 -716 divided by -2 358 Calculate -571984 divided by -142996. 4 What is 9235 divided by 5? 1847 Divide 22438 by -13. -1726 What is 4 divided by -243545? -4/243545 Calculate 2 divided by 123273. 2/123273 Calculate 485824 divided by -30364. -16 Divide -138023 by 1. -138023 What is -516096 divided by -256? 2016 -2 divided by -161679 2/161679 Divide -275940 by -3. 91980 Calculate 284889 divided by 11. 25899 Calculate -8297 divided by -2. 8297/2 What is 229680 divided by 8? 28710 Calculate 11281 divided by 1. 11281 Divide -82476 by -348. 237 Calculate -37984 divided by -2374. 16 -207 divided by -179 207/179 What is 27839 divided by -679? -41 Calculate 1 divided by -693485. -1/693485 What is -3 divided by 93108? -1/31036 What is -10096 divided by 1262? -8 Calculate 4 divided by -1322. -2/661 Calculate 1598240 divided by 7135. 224 Divide -92 by 1123. -92/1123 65455 divided by -95 -689 -271125 divided by -6 90375/2 -47093816 divided by -4 11773454 Divide -3166 by 198. -1583/99 Divide -996808 by 4. -249202 What is -53 divided by -837? 53/837 -8367 divided by -2 8367/2 Divide 389148 by -7. -389148/7 What is 597193 divided by -17? -35129 Calculate 0 divided by 26023. 0 What is 519070 divided by 5? 103814 What is -43344 divided by 5418? -8 Calculate 109395 divided by -45. -2431 Wh
{ "pile_set_name": "DM Mathematics" }